%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ALG160+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 16:39:04 EDT 2023

% Result   : Unsatisfiable 29.83s 4.86s
% Output   : Proof 197.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG160+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 03:22:09 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.61  ________       _____
% 0.20/0.61  ___  __ \_________(_)________________________________
% 0.20/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61  
% 0.20/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61  (2023-06-19)
% 0.20/0.61  
% 0.20/0.61  (c) Philipp Rümmer, 2009-2023
% 0.20/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61                Amanda Stjerna.
% 0.20/0.61  Free software under BSD-3-Clause.
% 0.20/0.61  
% 0.20/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61  
% 0.20/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.62  Running up to 7 provers in parallel.
% 0.20/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.20/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 6.34/1.63  Prover 4: Preprocessing ...
% 6.34/1.65  Prover 1: Preprocessing ...
% 6.34/1.65  Prover 5: Preprocessing ...
% 6.34/1.65  Prover 2: Preprocessing ...
% 6.34/1.65  Prover 3: Preprocessing ...
% 6.34/1.65  Prover 6: Preprocessing ...
% 6.34/1.66  Prover 0: Preprocessing ...
% 9.72/2.26  Prover 2: Constructing countermodel ...
% 11.13/2.28  Prover 6: Constructing countermodel ...
% 11.13/2.28  Prover 3: Constructing countermodel ...
% 11.13/2.29  Prover 0: Constructing countermodel ...
% 11.13/2.29  Prover 1: Constructing countermodel ...
% 11.13/2.33  Prover 4: Constructing countermodel ...
% 13.25/2.63  Prover 5: Constructing countermodel ...
% 29.83/4.85  Prover 3: proved (4218ms)
% 29.83/4.86  
% 29.83/4.86  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.83/4.86  
% 29.83/4.86  Prover 0: stopped
% 29.83/4.86  Prover 2: stopped
% 29.83/4.86  Prover 6: stopped
% 29.83/4.86  Prover 5: stopped
% 29.83/4.86  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 29.83/4.86  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 29.83/4.86  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 29.83/4.87  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 29.83/4.87  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 32.83/5.20  Prover 7: Preprocessing ...
% 32.83/5.20  Prover 11: Preprocessing ...
% 32.99/5.22  Prover 10: Preprocessing ...
% 32.99/5.27  Prover 13: Preprocessing ...
% 32.99/5.28  Prover 8: Preprocessing ...
% 33.70/5.35  Prover 11: Constructing countermodel ...
% 34.35/5.39  Prover 8: Constructing countermodel ...
% 34.35/5.44  Prover 10: Constructing countermodel ...
% 35.08/5.48  Prover 13: Constructing countermodel ...
% 35.16/5.50  Prover 7: Constructing countermodel ...
% 68.43/9.98  Prover 13: stopped
% 69.06/10.01  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 70.78/10.16  Prover 16: Preprocessing ...
% 71.78/10.33  Prover 16: Constructing countermodel ...
% 111.30/15.56  Prover 16: stopped
% 111.99/15.57  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 113.18/15.73  Prover 19: Preprocessing ...
% 113.90/15.86  Prover 19: Constructing countermodel ...
% 115.09/15.99  Prover 1: stopped
% 139.61/19.34  Prover 19: stopped
% 178.26/26.12  Prover 10: Found proof (size 658363)
% 178.26/26.12  Prover 10: proved (21258ms)
% 178.26/26.13  Prover 4: stopped
% 178.26/26.13  Prover 11: stopped
% 178.26/26.13  Prover 7: stopped
% 178.26/26.13  Prover 8: stopped
% 178.26/26.13  
% 178.26/26.13  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 178.26/26.13  
% 181.28/27.00  % SZS output start Proof for theBenchmark
% 181.54/27.18  Assumptions after simplification:
% 181.54/27.18  ---------------------------------
% 181.54/27.18  
% 181.54/27.18    (ax1)
% 181.54/27.23    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 181.54/27.23    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 181.54/27.23      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 181.54/27.23      $i] :  ? [v14: $i] :  ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 181.54/27.23      op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 181.54/27.23      op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 181.54/27.23      op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 181.54/27.23      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 181.54/27.23      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 181.54/27.23      $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 181.54/27.23        e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 181.54/27.23        v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 181.54/27.23        = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 181.54/27.23        v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 181.54/27.23        v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 181.54/27.23        v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 181.54/27.23      (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 181.54/27.23        = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 181.54/27.23        = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 181.54/27.23  
% 181.54/27.23    (ax10)
% 181.54/27.24    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.54/27.24    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e3) = v2 &
% 181.54/27.24          op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 &
% 181.54/27.24          $i(v1))))
% 181.54/27.24  
% 181.54/27.24    (ax11)
% 181.81/27.24    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.24    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e3) = v2 &
% 181.81/27.24          op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 &
% 181.81/27.24          $i(v1))))
% 181.81/27.24  
% 181.81/27.24    (ax12)
% 181.81/27.24    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.24    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e0) = v2 &
% 181.81/27.24          op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 &
% 181.81/27.24          $i(v1))))
% 181.81/27.24  
% 181.81/27.24    (ax13)
% 181.81/27.25    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.25    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e0) = v2 &
% 181.81/27.25          op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 &
% 181.81/27.25          $i(v1))))
% 181.81/27.25  
% 181.81/27.25    (ax14)
% 181.81/27.25    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.25    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e2) = v2 &
% 181.81/27.25          op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 &
% 181.81/27.25          $i(v1))))
% 181.81/27.25  
% 181.81/27.25    (ax15)
% 181.81/27.25    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.25    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e2) = v2 &
% 181.81/27.25          op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 &
% 181.81/27.25          $i(v1))))
% 181.81/27.25  
% 181.81/27.25    (ax16)
% 181.81/27.25    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.25    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e3) = v2 &
% 181.81/27.25          op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 &
% 181.81/27.25          $i(v1))))
% 181.81/27.25  
% 181.81/27.25    (ax17)
% 181.81/27.26    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.26    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e3) = v2 &
% 181.81/27.26          op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 &
% 181.81/27.26          $i(v1))))
% 181.81/27.26  
% 181.81/27.26    (ax18)
% 181.81/27.26    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.26    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e0) = v2 &
% 181.81/27.26          op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 &
% 181.81/27.26          $i(v1))))
% 181.81/27.26  
% 181.81/27.26    (ax19)
% 181.81/27.26    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.26    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e0) = v2 &
% 181.81/27.26          op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 &
% 181.81/27.26          $i(v1))))
% 181.81/27.26  
% 181.81/27.26    (ax2)
% 181.81/27.29    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 181.81/27.29    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 181.81/27.29      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 181.81/27.29      $i] :  ? [v14: $i] :  ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 181.81/27.29          e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 181.81/27.29            e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 181.81/27.29          e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 181.81/27.29          = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 181.81/27.29          op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 181.81/27.29            e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 181.81/27.29        | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 181.81/27.29          & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 181.81/27.29            e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 181.81/27.29          e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 181.81/27.29          = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 181.81/27.29          op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 181.81/27.29            e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 181.81/27.29        | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 181.81/27.29          & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 181.81/27.29          = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 181.81/27.29        (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 181.81/27.29          op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 181.81/27.29          = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 181.81/27.29        (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 181.81/27.29          op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 181.81/27.29            e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 181.81/27.29          e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 181.81/27.29        (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 181.81/27.29          op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 181.81/27.29          = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 181.81/27.29        (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 181.81/27.29          op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 181.81/27.29            e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 181.81/27.29      & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 181.81/27.29          op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 181.81/27.29            e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 181.81/27.29        | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 181.81/27.29          & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 181.81/27.29          = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 181.81/27.29        (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 181.81/27.29          op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 181.81/27.29          e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 181.81/27.29          = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 181.81/27.29          op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 181.81/27.29          = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 181.81/27.29      ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 181.81/27.29          op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 181.81/27.29          = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 181.81/27.29          = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 181.81/27.29          op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 181.81/27.29          e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 181.81/27.29          = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 181.81/27.29          op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 181.81/27.29          e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 181.81/27.29          = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 181.81/27.29          op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 181.81/27.29                e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 181.81/27.29              e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 181.81/27.29            (v1 = e0 & op(e0, e1) = e0)))))
% 181.81/27.29  
% 181.81/27.29    (ax20)
% 181.81/27.29    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.29    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e1) = v2 &
% 181.81/27.29          op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 &
% 181.81/27.29          $i(v1))))
% 181.81/27.29  
% 181.81/27.29    (ax21)
% 181.81/27.29    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.29    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e1) = v2 &
% 181.81/27.29          op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 &
% 181.81/27.29          $i(v1))))
% 181.81/27.29  
% 181.81/27.29    (ax22)
% 181.81/27.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 181.81/27.30    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e3) = v2 &
% 181.81/27.30          op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 &
% 181.81/27.30          $i(v1))))
% 181.81/27.30  
% 181.81/27.30    (ax23)
% 182.10/27.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.30    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e3) = v2 &
% 182.10/27.30          op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 &
% 182.10/27.30          $i(v1))))
% 182.10/27.30  
% 182.10/27.30    (ax24)
% 182.10/27.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.30    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e0) = v2 &
% 182.10/27.30          op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 &
% 182.10/27.30          $i(v1))))
% 182.10/27.30  
% 182.10/27.30    (ax25)
% 182.10/27.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.30    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e0) = v2 &
% 182.10/27.30          op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 &
% 182.10/27.30          $i(v1))))
% 182.10/27.30  
% 182.10/27.30    (ax26)
% 182.10/27.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.30    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e1) = v2 &
% 182.10/27.30          op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 &
% 182.10/27.30          $i(v1))))
% 182.10/27.30  
% 182.10/27.30    (ax27)
% 182.10/27.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.30    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e1) = v2 &
% 182.10/27.30          op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 &
% 182.10/27.30          $i(v1))))
% 182.10/27.30  
% 182.10/27.30    (ax28)
% 182.10/27.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.30    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e2) = v2 &
% 182.10/27.30          op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 &
% 182.10/27.30          $i(v1))))
% 182.10/27.30  
% 182.10/27.30    (ax29)
% 182.10/27.31    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.31    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e2) = v2 &
% 182.10/27.31          op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 &
% 182.10/27.31          $i(v1))))
% 182.10/27.31  
% 182.10/27.31    (ax3)
% 182.10/27.31    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 182.10/27.31    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 182.10/27.31      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 182.10/27.31      $i] :  ? [v14: $i] :  ? [v15: $i] : ( ~ (v15 = v14) &  ~ (v15 = v13) &  ~
% 182.10/27.31      (v15 = v12) &  ~ (v15 = v11) &  ~ (v15 = v7) &  ~ (v15 = v3) &  ~ (v14 =
% 182.10/27.31        v13) &  ~ (v14 = v12) &  ~ (v14 = v10) &  ~ (v14 = v6) &  ~ (v14 = v2) & 
% 182.10/27.31      ~ (v13 = v12) &  ~ (v13 = v9) &  ~ (v13 = v5) &  ~ (v13 = v1) &  ~ (v12 =
% 182.10/27.31        v8) &  ~ (v12 = v4) &  ~ (v12 = v0) &  ~ (v11 = v10) &  ~ (v11 = v9) &  ~
% 182.10/27.31      (v11 = v8) &  ~ (v11 = v7) &  ~ (v11 = v3) &  ~ (v10 = v9) &  ~ (v10 = v8) &
% 182.10/27.31       ~ (v10 = v6) &  ~ (v10 = v2) &  ~ (v9 = v8) &  ~ (v9 = v5) &  ~ (v9 = v1) &
% 182.10/27.31       ~ (v8 = v4) &  ~ (v8 = v0) &  ~ (v7 = v6) &  ~ (v7 = v5) &  ~ (v7 = v4) & 
% 182.10/27.31      ~ (v7 = v3) &  ~ (v6 = v5) &  ~ (v6 = v4) &  ~ (v6 = v2) &  ~ (v5 = v4) &  ~
% 182.10/27.31      (v5 = v1) &  ~ (v4 = v0) &  ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~
% 182.10/27.31      (v2 = v1) &  ~ (v2 = v0) &  ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 182.10/27.31      v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 182.10/27.31      v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 182.10/27.31      & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 182.10/27.31      op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 182.10/27.31      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 182.10/27.31      $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 182.10/27.31  
% 182.10/27.31    (ax4)
% 182.10/27.31     ~ (e3 = e2) &  ~ (e3 = e1) &  ~ (e3 = e0) &  ~ (e2 = e1) &  ~ (e2 = e0) &  ~
% 182.10/27.31    (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 182.10/27.31  
% 182.10/27.31    (ax5)
% 182.10/27.35    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 182.10/27.35    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 182.10/27.35      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 182.10/27.35      $i] :  ? [v14: $i] :  ? [v15: $i] : (((v15 = e3 & v12 = e3 & v5 = e2 &
% 182.10/27.35          op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = v3 &
% 182.10/27.35          $i(v3) & ((v1 = e2 & op(e1, e1) = e2) | ( ~ (v11 = e1) & op(e1, e2) =
% 182.10/27.35              v11 & $i(v11))) & ((v0 = e2 & op(e0, e0) = e2) | ( ~ (v10 = e0) &
% 182.10/27.35              op(e0, e2) = v10 & $i(v10)))) | (v15 = e2 & v12 = e2 & v3 = e3 &
% 182.10/27.35          op(e3, e3) = v5 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 182.10/27.35          $i(v5) & ((v1 = e3 & op(e1, e1) = e3) | ( ~ (v14 = e1) & op(e1, e3) =
% 182.10/27.35              v14 & $i(v14))) & ((v0 = e3 & op(e0, e0) = e3) | ( ~ (v13 = e0) &
% 182.10/27.35              op(e0, e3) = v13 & $i(v13)))) | (v14 = e3 & v9 = e3 & v5 = e1 &
% 182.10/27.35          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = v1 &
% 182.10/27.35          $i(v1) & ((v3 = e1 & op(e2, e2) = e1) | ( ~ (v8 = e2) & op(e2, e1) = v8
% 182.10/27.35              & $i(v8))) & ((v0 = e1 & op(e0, e0) = e1) | ( ~ (v7 = e0) & op(e0,
% 182.10/27.35                e1) = v7 & $i(v7)))) | (v14 = e1 & v9 = e1 & v1 = e3 & op(e3, e3)
% 182.10/27.35          = v5 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(v5) &
% 182.10/27.35          ((v3 = e3 & op(e2, e2) = e3) | ( ~ (v15 = e2) & op(e2, e3) = v15 &
% 182.10/27.35              $i(v15))) & ((v0 = e3 & op(e0, e0) = e3) | ( ~ (v13 = e0) & op(e0,
% 182.10/27.35                e3) = v13 & $i(v13)))) | (v13 = e3 & v6 = e3 & v5 = e0 & op(e3,
% 182.10/27.35            e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = v0 &
% 182.10/27.35          $i(v0) & ((v3 = e0 & op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4
% 182.10/27.35              & $i(v4))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) & op(e1,
% 182.10/27.35                e0) = v2 & $i(v2)))) | (v13 = e0 & v6 = e0 & v0 = e3 & op(e3, e3)
% 182.10/27.35          = v5 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(v5) &
% 182.10/27.35          ((v3 = e3 & op(e2, e2) = e3) | ( ~ (v15 = e2) & op(e2, e3) = v15 &
% 182.10/27.35              $i(v15))) & ((v1 = e3 & op(e1, e1) = e3) | ( ~ (v14 = e1) & op(e1,
% 182.10/27.35                e3) = v14 & $i(v14)))) | (v11 = e2 & v8 = e2 & v3 = e1 & op(e2,
% 182.10/27.35            e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = v1 &
% 182.10/27.35          $i(v1) & ((v5 = e1 & op(e3, e3) = e1) | ( ~ (v9 = e3) & op(e3, e1) = v9
% 182.10/27.35              & $i(v9))) & ((v0 = e1 & op(e0, e0) = e1) | ( ~ (v7 = e0) & op(e0,
% 182.10/27.35                e1) = v7 & $i(v7)))) | (v11 = e1 & v8 = e1 & v1 = e2 & op(e2, e2)
% 182.10/27.35          = v3 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(v3) &
% 182.10/27.35          ((v5 = e2 & op(e3, e3) = e2) | ( ~ (v12 = e3) & op(e3, e2) = v12 &
% 182.10/27.35              $i(v12))) & ((v0 = e2 & op(e0, e0) = e2) | ( ~ (v10 = e0) & op(e0,
% 182.10/27.35                e2) = v10 & $i(v10)))) | (v10 = e2 & v4 = e2 & v3 = e0 & op(e2,
% 182.10/27.35            e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = v0 &
% 182.10/27.35          $i(v0) & ((v5 = e0 & op(e3, e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6
% 182.10/27.35              & $i(v6))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) & op(e1,
% 182.10/27.35                e0) = v2 & $i(v2)))) | (v10 = e0 & v4 = e0 & v0 = e2 & op(e2, e2)
% 182.10/27.35          = v3 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(v3) &
% 182.10/27.35          ((v5 = e2 & op(e3, e3) = e2) | ( ~ (v12 = e3) & op(e3, e2) = v12 &
% 182.10/27.35              $i(v12))) & ((v1 = e2 & op(e1, e1) = e2) | ( ~ (v11 = e1) & op(e1,
% 182.10/27.35                e2) = v11 & $i(v11)))) | (v7 = e1 & v2 = e1 & v1 = e0 & op(e1, e1)
% 182.10/27.35          = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = v0 & $i(v0) &
% 182.10/27.35          ((v5 = e0 & op(e3, e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 &
% 182.10/27.35              $i(v6))) & ((v3 = e0 & op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0)
% 182.10/27.35              = v4 & $i(v4)))) | (v7 = e0 & v2 = e0 & v0 = e1 & op(e1, e1) = v1 &
% 182.10/27.35          op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(v1) & ((v5 = e1
% 182.10/27.35              & op(e3, e3) = e1) | ( ~ (v9 = e3) & op(e3, e1) = v9 & $i(v9))) &
% 182.10/27.35          ((v3 = e1 & op(e2, e2) = e1) | ( ~ (v8 = e2) & op(e2, e1) = v8 &
% 182.10/27.35              $i(v8)))) | (v5 = e3 & op(e3, e3) = e3 & ((v3 = e3 & op(e2, e2) =
% 182.10/27.35              e3) | ( ~ (v15 = e2) & op(e2, e3) = v15 & $i(v15))) & ((v1 = e3 &
% 182.10/27.35              op(e1, e1) = e3) | ( ~ (v14 = e1) & op(e1, e3) = v14 & $i(v14))) &
% 182.10/27.35          ((v0 = e3 & op(e0, e0) = e3) | ( ~ (v13 = e0) & op(e0, e3) = v13 &
% 182.10/27.35              $i(v13)))) | (v3 = e2 & op(e2, e2) = e2 & ((v5 = e2 & op(e3, e3) =
% 182.10/27.35              e2) | ( ~ (v12 = e3) & op(e3, e2) = v12 & $i(v12))) & ((v1 = e2 &
% 182.10/27.35              op(e1, e1) = e2) | ( ~ (v11 = e1) & op(e1, e2) = v11 & $i(v11))) &
% 182.10/27.35          ((v0 = e2 & op(e0, e0) = e2) | ( ~ (v10 = e0) & op(e0, e2) = v10 &
% 182.10/27.35              $i(v10)))) | (v1 = e1 & op(e1, e1) = e1 & ((v5 = e1 & op(e3, e3) =
% 182.10/27.35              e1) | ( ~ (v9 = e3) & op(e3, e1) = v9 & $i(v9))) & ((v3 = e1 &
% 182.10/27.35              op(e2, e2) = e1) | ( ~ (v8 = e2) & op(e2, e1) = v8 & $i(v8))) & ((v0
% 182.10/27.35              = e1 & op(e0, e0) = e1) | ( ~ (v7 = e0) & op(e0, e1) = v7 &
% 182.10/27.35              $i(v7)))) | (v0 = e0 & op(e0, e0) = e0 & ((v5 = e0 & op(e3, e3) =
% 182.10/27.35              e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 & $i(v6))) & ((v3 = e0 &
% 182.10/27.35              op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4 & $i(v4))) & ((v1
% 182.10/27.35              = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) & op(e1, e0) = v2 &
% 182.10/27.35              $i(v2))))) & ((v15 = e2 & v1 = e3 &  ~ (v14 = e1) &  ~ (v3 = e3) &
% 182.10/27.35          op(e2, e3) = e2 & op(e2, e2) = v3 & op(e1, e3) = v14 & op(e1, e1) = e3 &
% 182.10/27.35          $i(v14) & $i(v3)) | (v15 = e2 & v0 = e3 &  ~ (v13 = e0) &  ~ (v3 = e3) &
% 182.10/27.35          op(e2, e3) = e2 & op(e2, e2) = v3 & op(e0, e3) = v13 & op(e0, e0) = e3 &
% 182.10/27.35          $i(v13) & $i(v3)) | (v14 = e1 & v3 = e3 &  ~ (v15 = e2) &  ~ (v1 = e3) &
% 182.10/27.35          op(e2, e3) = v15 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = v1 &
% 182.10/27.35          $i(v15) & $i(v1)) | (v14 = e1 & v0 = e3 &  ~ (v13 = e0) &  ~ (v1 = e3) &
% 182.10/27.35          op(e1, e3) = e1 & op(e1, e1) = v1 & op(e0, e3) = v13 & op(e0, e0) = e3 &
% 182.10/27.35          $i(v13) & $i(v1)) | (v12 = e3 & v1 = e2 &  ~ (v11 = e1) &  ~ (v5 = e2) &
% 182.10/27.35          op(e3, e3) = v5 & op(e3, e2) = e3 & op(e1, e2) = v11 & op(e1, e1) = e2 &
% 182.10/27.35          $i(v11) & $i(v5)) | (v12 = e3 & v0 = e2 &  ~ (v10 = e0) &  ~ (v5 = e2) &
% 182.10/27.35          op(e3, e3) = v5 & op(e3, e2) = e3 & op(e0, e2) = v10 & op(e0, e0) = e2 &
% 182.10/27.35          $i(v10) & $i(v5)) | (v11 = e1 & v5 = e2 &  ~ (v12 = e3) &  ~ (v1 = e2) &
% 182.10/27.35          op(e3, e3) = e2 & op(e3, e2) = v12 & op(e1, e2) = e1 & op(e1, e1) = v1 &
% 182.10/27.35          $i(v12) & $i(v1)) | (v11 = e1 & v0 = e2 &  ~ (v10 = e0) &  ~ (v1 = e2) &
% 182.10/27.35          op(e1, e2) = e1 & op(e1, e1) = v1 & op(e0, e2) = v10 & op(e0, e0) = e2 &
% 182.10/27.35          $i(v10) & $i(v1)) | (v9 = e3 & v3 = e1 &  ~ (v8 = e2) &  ~ (v5 = e1) &
% 182.10/27.35          op(e3, e3) = v5 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = v8 &
% 182.10/27.35          $i(v8) & $i(v5)) | (v9 = e3 & v0 = e1 &  ~ (v7 = e0) &  ~ (v5 = e1) &
% 182.10/27.35          op(e3, e3) = v5 & op(e3, e1) = e3 & op(e0, e1) = v7 & op(e0, e0) = e1 &
% 182.10/27.35          $i(v7) & $i(v5)) | (v8 = e2 & v5 = e1 &  ~ (v9 = e3) &  ~ (v3 = e1) &
% 182.10/27.35          op(e3, e3) = e1 & op(e3, e1) = v9 & op(e2, e2) = v3 & op(e2, e1) = e2 &
% 182.10/27.35          $i(v9) & $i(v3)) | (v8 = e2 & v0 = e1 &  ~ (v7 = e0) &  ~ (v3 = e1) &
% 182.10/27.35          op(e2, e2) = v3 & op(e2, e1) = e2 & op(e0, e1) = v7 & op(e0, e0) = e1 &
% 182.10/27.35          $i(v7) & $i(v3)) | (v6 = e3 & v3 = e0 &  ~ (v5 = e0) &  ~ (v4 = e2) &
% 182.10/27.35          op(e3, e3) = v5 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = v4 &
% 182.10/27.35          $i(v5) & $i(v4)) | (v6 = e3 & v1 = e0 &  ~ (v5 = e0) &  ~ (v2 = e1) &
% 182.10/27.35          op(e3, e3) = v5 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = v2 &
% 182.10/27.35          $i(v5) & $i(v2)) | (v5 = e0 & v4 = e2 &  ~ (v6 = e3) &  ~ (v3 = e0) &
% 182.10/27.35          op(e3, e3) = e0 & op(e3, e0) = v6 & op(e2, e2) = v3 & op(e2, e0) = e2 &
% 182.10/27.35          $i(v6) & $i(v3)) | (v5 = e0 & v2 = e1 &  ~ (v6 = e3) &  ~ (v1 = e0) &
% 182.10/27.35          op(e3, e3) = e0 & op(e3, e0) = v6 & op(e1, e1) = v1 & op(e1, e0) = e1 &
% 182.10/27.35          $i(v6) & $i(v1)) | (v4 = e2 & v1 = e0 &  ~ (v3 = e0) &  ~ (v2 = e1) &
% 182.10/27.35          op(e2, e2) = v3 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = v2 &
% 182.10/27.35          $i(v3) & $i(v2)) | (v3 = e0 & v2 = e1 &  ~ (v4 = e2) &  ~ (v1 = e0) &
% 182.10/27.35          op(e2, e2) = e0 & op(e2, e0) = v4 & op(e1, e1) = v1 & op(e1, e0) = e1 &
% 182.10/27.35          $i(v4) & $i(v1)) | (op(e0, e0) = v0 & $i(v0) & ((v13 = e0 & v3 = e3 &  ~
% 182.10/27.35              (v15 = e2) &  ~ (v0 = e3) & op(e2, e3) = v15 & op(e2, e2) = e3 &
% 182.10/27.35              op(e0, e3) = e0 & $i(v15)) | (v13 = e0 & v1 = e3 &  ~ (v14 = e1) & 
% 182.10/27.35              ~ (v0 = e3) & op(e1, e3) = v14 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 182.10/27.35              $i(v14)) | (v10 = e0 & v5 = e2 &  ~ (v12 = e3) &  ~ (v0 = e2) &
% 182.10/27.35              op(e3, e3) = e2 & op(e3, e2) = v12 & op(e0, e2) = e0 & $i(v12)) |
% 182.10/27.35            (v10 = e0 & v1 = e2 &  ~ (v11 = e1) &  ~ (v0 = e2) & op(e1, e2) = v11
% 182.10/27.35              & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(v11)) | (v7 = e0 & v5 = e1
% 182.10/27.35              &  ~ (v9 = e3) &  ~ (v0 = e1) & op(e3, e3) = e1 & op(e3, e1) = v9 &
% 182.10/27.35              op(e0, e1) = e0 & $i(v9)) | (v7 = e0 & v3 = e1 &  ~ (v8 = e2) &  ~
% 182.10/27.35              (v0 = e1) & op(e2, e2) = e1 & op(e2, e1) = v8 & op(e0, e1) = e0 &
% 182.10/27.35              $i(v8))))))
% 182.10/27.35  
% 182.10/27.35    (ax6)
% 182.10/27.35    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.35    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e1) = v2 &
% 182.10/27.35          op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 &
% 182.10/27.35          $i(v1))))
% 182.10/27.35  
% 182.10/27.35    (ax7)
% 182.10/27.35    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.35    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e1) = v2 &
% 182.10/27.35          op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 &
% 182.10/27.35          $i(v1))))
% 182.10/27.35  
% 182.10/27.35    (ax8)
% 182.10/27.35    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.35    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e2) = v2 &
% 182.10/27.35          op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 &
% 182.10/27.35          $i(v1))))
% 182.10/27.35  
% 182.10/27.35    (ax9)
% 182.10/27.35    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 182.10/27.36    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e2) = v2 &
% 182.10/27.36          op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 &
% 182.10/27.36          $i(v1))))
% 182.10/27.36  
% 182.39/27.36    (function-axioms)
% 182.39/27.36     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (op(v3,
% 182.39/27.36          v2) = v1) |  ~ (op(v3, v2) = v0))
% 182.39/27.36  
% 182.39/27.36  Those formulas are unsatisfiable:
% 182.39/27.36  ---------------------------------
% 182.39/27.36  
% 182.39/27.36  Begin of proof
% 182.39/27.36  | 
% 182.39/27.36  | ALPHA: (ax1) implies:
% 182.39/27.36  |   (1)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 182.39/27.36  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 182.39/27.36  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 182.39/27.36  |         ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 182.39/27.36  |          & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 182.39/27.36  |          = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 182.39/27.36  |            e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 182.39/27.36  |          op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 182.39/27.36  |          $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 182.39/27.36  |          $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 182.39/27.36  |            = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 182.39/27.36  |            = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 182.39/27.36  |            v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 182.39/27.36  |            v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 182.39/27.36  |            | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 182.39/27.36  |            = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 182.39/27.37  |            e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 182.39/27.37  |          (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 182.39/27.37  |            e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 182.39/27.37  |            | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 182.39/27.37  |            = e0))
% 182.39/27.37  | 
% 182.39/27.37  | ALPHA: (ax2) implies:
% 182.39/27.38  |   (2)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 182.39/27.38  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 182.39/27.38  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 182.39/27.38  |         ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 182.39/27.38  |              = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 182.39/27.38  |              e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 182.39/27.38  |              e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 182.39/27.38  |          & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 182.39/27.38  |              = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 182.39/27.38  |              e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 182.39/27.38  |              op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 182.39/27.38  |              op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 182.39/27.38  |              op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 182.39/27.38  |              op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 182.39/27.38  |              op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 182.39/27.38  |              op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 182.39/27.38  |              op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 182.39/27.38  |              op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 182.39/27.38  |              op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 182.39/27.38  |              op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 182.39/27.38  |              op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 182.39/27.38  |              op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 182.39/27.38  |              op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 182.39/27.38  |              op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 182.39/27.38  |              op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 182.39/27.38  |              op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 182.39/27.38  |              op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 182.39/27.38  |              op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 182.39/27.38  |              op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 182.39/27.38  |              op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 182.39/27.38  |              op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 182.39/27.38  |              op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 182.39/27.38  |              op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 182.39/27.38  |              op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 182.39/27.38  |              op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 182.39/27.38  |              op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 182.39/27.38  |              op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 182.39/27.38  |              op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 182.39/27.38  |              op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 182.39/27.38  |              op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 182.39/27.38  |              op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 182.39/27.38  |              op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 182.39/27.38  |              op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 182.39/27.38  |              op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 182.39/27.38  |              op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 182.39/27.38  |              op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 182.39/27.38  |              op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 182.39/27.38  |              op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 182.39/27.38  |              op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 182.39/27.38  |              op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 182.39/27.38  |              op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 182.39/27.38  |              op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 182.39/27.38  |              op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 182.39/27.38  |              op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 182.39/27.38  |              op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 182.39/27.38  |              op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 182.39/27.38  |              op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 182.39/27.38  |              op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 182.39/27.38  |              op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 182.39/27.38  |              op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 182.39/27.38  |              op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 182.39/27.38  |              op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 182.39/27.38  |              op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 182.39/27.38  |              op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 182.39/27.38  |                  op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 182.39/27.38  |                  op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 182.39/27.38  |                  op(e0, e1) = e0)))))
% 182.39/27.38  | 
% 182.39/27.38  | ALPHA: (ax3) implies:
% 182.39/27.38  |   (3)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 182.39/27.38  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 182.39/27.38  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 182.39/27.38  |         ? [v15: $i] : ( ~ (v15 = v14) &  ~ (v15 = v13) &  ~ (v15 = v12) &  ~
% 182.39/27.38  |          (v15 = v11) &  ~ (v15 = v7) &  ~ (v15 = v3) &  ~ (v14 = v13) &  ~
% 182.39/27.38  |          (v14 = v12) &  ~ (v14 = v10) &  ~ (v14 = v6) &  ~ (v14 = v2) &  ~
% 182.39/27.38  |          (v13 = v12) &  ~ (v13 = v9) &  ~ (v13 = v5) &  ~ (v13 = v1) &  ~ (v12
% 182.39/27.38  |            = v8) &  ~ (v12 = v4) &  ~ (v12 = v0) &  ~ (v11 = v10) &  ~ (v11 =
% 182.39/27.38  |            v9) &  ~ (v11 = v8) &  ~ (v11 = v7) &  ~ (v11 = v3) &  ~ (v10 = v9)
% 182.39/27.38  |          &  ~ (v10 = v8) &  ~ (v10 = v6) &  ~ (v10 = v2) &  ~ (v9 = v8) &  ~
% 182.39/27.38  |          (v9 = v5) &  ~ (v9 = v1) &  ~ (v8 = v4) &  ~ (v8 = v0) &  ~ (v7 = v6)
% 182.39/27.38  |          &  ~ (v7 = v5) &  ~ (v7 = v4) &  ~ (v7 = v3) &  ~ (v6 = v5) &  ~ (v6
% 182.39/27.38  |            = v4) &  ~ (v6 = v2) &  ~ (v5 = v4) &  ~ (v5 = v1) &  ~ (v4 = v0) &
% 182.39/27.38  |           ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 =
% 182.39/27.38  |            v0) &  ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 182.39/27.38  |            e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 182.39/27.38  |          op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 182.39/27.38  |          v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 182.39/27.38  |            e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 182.39/27.38  |          $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 182.39/27.38  |          $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 182.39/27.38  | 
% 182.39/27.38  | ALPHA: (ax4) implies:
% 182.39/27.39  |   (4)   ~ (e1 = e0)
% 182.39/27.39  |   (5)   ~ (e2 = e0)
% 182.39/27.39  |   (6)   ~ (e2 = e1)
% 182.39/27.39  |   (7)   ~ (e3 = e0)
% 182.39/27.39  |   (8)   ~ (e3 = e1)
% 182.39/27.39  |   (9)   ~ (e3 = e2)
% 182.39/27.39  | 
% 182.39/27.39  | ALPHA: (ax5) implies:
% 182.39/27.41  |   (10)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 182.39/27.41  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 182.39/27.41  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 182.39/27.41  |           $i] :  ? [v15: $i] : (((v15 = e3 & v12 = e3 & v5 = e2 & op(e3, e3) =
% 182.39/27.41  |               e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = v3 &
% 182.39/27.41  |               $i(v3) & ((v1 = e2 & op(e1, e1) = e2) | ( ~ (v11 = e1) & op(e1,
% 182.39/27.41  |                     e2) = v11 & $i(v11))) & ((v0 = e2 & op(e0, e0) = e2) | ( ~
% 182.39/27.41  |                   (v10 = e0) & op(e0, e2) = v10 & $i(v10)))) | (v15 = e2 & v12
% 182.39/27.41  |               = e2 & v3 = e3 & op(e3, e3) = v5 & op(e3, e2) = e2 & op(e2, e3)
% 182.39/27.41  |               = e2 & op(e2, e2) = e3 & $i(v5) & ((v1 = e3 & op(e1, e1) = e3) |
% 182.39/27.41  |                 ( ~ (v14 = e1) & op(e1, e3) = v14 & $i(v14))) & ((v0 = e3 &
% 182.39/27.41  |                   op(e0, e0) = e3) | ( ~ (v13 = e0) & op(e0, e3) = v13 &
% 182.39/27.41  |                   $i(v13)))) | (v14 = e3 & v9 = e3 & v5 = e1 & op(e3, e3) = e1
% 182.39/27.41  |               & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = v1 & $i(v1) &
% 182.39/27.41  |               ((v3 = e1 & op(e2, e2) = e1) | ( ~ (v8 = e2) & op(e2, e1) = v8 &
% 182.39/27.41  |                   $i(v8))) & ((v0 = e1 & op(e0, e0) = e1) | ( ~ (v7 = e0) &
% 182.39/27.41  |                   op(e0, e1) = v7 & $i(v7)))) | (v14 = e1 & v9 = e1 & v1 = e3
% 182.39/27.41  |               & op(e3, e3) = v5 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1,
% 182.39/27.41  |                 e1) = e3 & $i(v5) & ((v3 = e3 & op(e2, e2) = e3) | ( ~ (v15 =
% 182.39/27.41  |                     e2) & op(e2, e3) = v15 & $i(v15))) & ((v0 = e3 & op(e0,
% 182.39/27.41  |                     e0) = e3) | ( ~ (v13 = e0) & op(e0, e3) = v13 & $i(v13))))
% 182.39/27.41  |             | (v13 = e3 & v6 = e3 & v5 = e0 & op(e3, e3) = e0 & op(e3, e0) =
% 182.39/27.41  |               e3 & op(e0, e3) = e3 & op(e0, e0) = v0 & $i(v0) & ((v3 = e0 &
% 182.39/27.41  |                   op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4 &
% 182.39/27.41  |                   $i(v4))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) &
% 182.39/27.41  |                   op(e1, e0) = v2 & $i(v2)))) | (v13 = e0 & v6 = e0 & v0 = e3
% 182.39/27.41  |               & op(e3, e3) = v5 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0,
% 182.39/27.41  |                 e0) = e3 & $i(v5) & ((v3 = e3 & op(e2, e2) = e3) | ( ~ (v15 =
% 182.39/27.41  |                     e2) & op(e2, e3) = v15 & $i(v15))) & ((v1 = e3 & op(e1,
% 182.39/27.41  |                     e1) = e3) | ( ~ (v14 = e1) & op(e1, e3) = v14 & $i(v14))))
% 182.39/27.41  |             | (v11 = e2 & v8 = e2 & v3 = e1 & op(e2, e2) = e1 & op(e2, e1) =
% 182.39/27.41  |               e2 & op(e1, e2) = e2 & op(e1, e1) = v1 & $i(v1) & ((v5 = e1 &
% 182.39/27.41  |                   op(e3, e3) = e1) | ( ~ (v9 = e3) & op(e3, e1) = v9 &
% 182.39/27.41  |                   $i(v9))) & ((v0 = e1 & op(e0, e0) = e1) | ( ~ (v7 = e0) &
% 182.39/27.41  |                   op(e0, e1) = v7 & $i(v7)))) | (v11 = e1 & v8 = e1 & v1 = e2
% 182.39/27.41  |               & op(e2, e2) = v3 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1,
% 182.39/27.41  |                 e1) = e2 & $i(v3) & ((v5 = e2 & op(e3, e3) = e2) | ( ~ (v12 =
% 182.39/27.41  |                     e3) & op(e3, e2) = v12 & $i(v12))) & ((v0 = e2 & op(e0,
% 182.39/27.41  |                     e0) = e2) | ( ~ (v10 = e0) & op(e0, e2) = v10 & $i(v10))))
% 182.39/27.41  |             | (v10 = e2 & v4 = e2 & v3 = e0 & op(e2, e2) = e0 & op(e2, e0) =
% 182.39/27.41  |               e2 & op(e0, e2) = e2 & op(e0, e0) = v0 & $i(v0) & ((v5 = e0 &
% 182.39/27.41  |                   op(e3, e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 &
% 182.39/27.41  |                   $i(v6))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) &
% 182.39/27.41  |                   op(e1, e0) = v2 & $i(v2)))) | (v10 = e0 & v4 = e0 & v0 = e2
% 182.39/27.41  |               & op(e2, e2) = v3 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 182.39/27.41  |                 e0) = e2 & $i(v3) & ((v5 = e2 & op(e3, e3) = e2) | ( ~ (v12 =
% 182.39/27.41  |                     e3) & op(e3, e2) = v12 & $i(v12))) & ((v1 = e2 & op(e1,
% 182.39/27.41  |                     e1) = e2) | ( ~ (v11 = e1) & op(e1, e2) = v11 & $i(v11))))
% 182.39/27.41  |             | (v7 = e1 & v2 = e1 & v1 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1
% 182.39/27.41  |               & op(e0, e1) = e1 & op(e0, e0) = v0 & $i(v0) & ((v5 = e0 &
% 182.39/27.41  |                   op(e3, e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 &
% 182.39/27.41  |                   $i(v6))) & ((v3 = e0 & op(e2, e2) = e0) | ( ~ (v4 = e2) &
% 182.39/27.41  |                   op(e2, e0) = v4 & $i(v4)))) | (v7 = e0 & v2 = e0 & v0 = e1 &
% 182.39/27.41  |               op(e1, e1) = v1 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0)
% 182.39/27.41  |               = e1 & $i(v1) & ((v5 = e1 & op(e3, e3) = e1) | ( ~ (v9 = e3) &
% 182.39/27.41  |                   op(e3, e1) = v9 & $i(v9))) & ((v3 = e1 & op(e2, e2) = e1) |
% 182.39/27.41  |                 ( ~ (v8 = e2) & op(e2, e1) = v8 & $i(v8)))) | (v5 = e3 &
% 182.39/27.41  |               op(e3, e3) = e3 & ((v3 = e3 & op(e2, e2) = e3) | ( ~ (v15 = e2)
% 182.39/27.41  |                   & op(e2, e3) = v15 & $i(v15))) & ((v1 = e3 & op(e1, e1) =
% 182.39/27.41  |                   e3) | ( ~ (v14 = e1) & op(e1, e3) = v14 & $i(v14))) & ((v0 =
% 182.39/27.41  |                   e3 & op(e0, e0) = e3) | ( ~ (v13 = e0) & op(e0, e3) = v13 &
% 182.39/27.41  |                   $i(v13)))) | (v3 = e2 & op(e2, e2) = e2 & ((v5 = e2 & op(e3,
% 182.39/27.41  |                     e3) = e2) | ( ~ (v12 = e3) & op(e3, e2) = v12 & $i(v12)))
% 182.39/27.41  |               & ((v1 = e2 & op(e1, e1) = e2) | ( ~ (v11 = e1) & op(e1, e2) =
% 182.39/27.41  |                   v11 & $i(v11))) & ((v0 = e2 & op(e0, e0) = e2) | ( ~ (v10 =
% 182.39/27.41  |                     e0) & op(e0, e2) = v10 & $i(v10)))) | (v1 = e1 & op(e1,
% 182.39/27.41  |                 e1) = e1 & ((v5 = e1 & op(e3, e3) = e1) | ( ~ (v9 = e3) &
% 182.39/27.41  |                   op(e3, e1) = v9 & $i(v9))) & ((v3 = e1 & op(e2, e2) = e1) |
% 182.39/27.41  |                 ( ~ (v8 = e2) & op(e2, e1) = v8 & $i(v8))) & ((v0 = e1 &
% 182.39/27.41  |                   op(e0, e0) = e1) | ( ~ (v7 = e0) & op(e0, e1) = v7 &
% 182.39/27.41  |                   $i(v7)))) | (v0 = e0 & op(e0, e0) = e0 & ((v5 = e0 & op(e3,
% 182.39/27.41  |                     e3) = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 & $i(v6))) &
% 182.39/27.41  |               ((v3 = e0 & op(e2, e2) = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4 &
% 182.39/27.41  |                   $i(v4))) & ((v1 = e0 & op(e1, e1) = e0) | ( ~ (v2 = e1) &
% 182.39/27.41  |                   op(e1, e0) = v2 & $i(v2))))) & ((v15 = e2 & v1 = e3 &  ~
% 182.39/27.41  |               (v14 = e1) &  ~ (v3 = e3) & op(e2, e3) = e2 & op(e2, e2) = v3 &
% 182.39/27.41  |               op(e1, e3) = v14 & op(e1, e1) = e3 & $i(v14) & $i(v3)) | (v15 =
% 182.39/27.41  |               e2 & v0 = e3 &  ~ (v13 = e0) &  ~ (v3 = e3) & op(e2, e3) = e2 &
% 182.39/27.41  |               op(e2, e2) = v3 & op(e0, e3) = v13 & op(e0, e0) = e3 & $i(v13) &
% 182.39/27.41  |               $i(v3)) | (v14 = e1 & v3 = e3 &  ~ (v15 = e2) &  ~ (v1 = e3) &
% 182.39/27.41  |               op(e2, e3) = v15 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1,
% 182.39/27.41  |                 e1) = v1 & $i(v15) & $i(v1)) | (v14 = e1 & v0 = e3 &  ~ (v13 =
% 182.39/27.41  |                 e0) &  ~ (v1 = e3) & op(e1, e3) = e1 & op(e1, e1) = v1 &
% 182.39/27.41  |               op(e0, e3) = v13 & op(e0, e0) = e3 & $i(v13) & $i(v1)) | (v12 =
% 182.39/27.41  |               e3 & v1 = e2 &  ~ (v11 = e1) &  ~ (v5 = e2) & op(e3, e3) = v5 &
% 182.39/27.41  |               op(e3, e2) = e3 & op(e1, e2) = v11 & op(e1, e1) = e2 & $i(v11) &
% 182.39/27.41  |               $i(v5)) | (v12 = e3 & v0 = e2 &  ~ (v10 = e0) &  ~ (v5 = e2) &
% 182.39/27.41  |               op(e3, e3) = v5 & op(e3, e2) = e3 & op(e0, e2) = v10 & op(e0,
% 182.39/27.41  |                 e0) = e2 & $i(v10) & $i(v5)) | (v11 = e1 & v5 = e2 &  ~ (v12 =
% 182.39/27.41  |                 e3) &  ~ (v1 = e2) & op(e3, e3) = e2 & op(e3, e2) = v12 &
% 182.39/27.41  |               op(e1, e2) = e1 & op(e1, e1) = v1 & $i(v12) & $i(v1)) | (v11 =
% 182.39/27.41  |               e1 & v0 = e2 &  ~ (v10 = e0) &  ~ (v1 = e2) & op(e1, e2) = e1 &
% 182.39/27.41  |               op(e1, e1) = v1 & op(e0, e2) = v10 & op(e0, e0) = e2 & $i(v10) &
% 182.39/27.41  |               $i(v1)) | (v9 = e3 & v3 = e1 &  ~ (v8 = e2) &  ~ (v5 = e1) &
% 182.39/27.41  |               op(e3, e3) = v5 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 182.39/27.41  |               = v8 & $i(v8) & $i(v5)) | (v9 = e3 & v0 = e1 &  ~ (v7 = e0) &  ~
% 182.39/27.41  |               (v5 = e1) & op(e3, e3) = v5 & op(e3, e1) = e3 & op(e0, e1) = v7
% 182.39/27.41  |               & op(e0, e0) = e1 & $i(v7) & $i(v5)) | (v8 = e2 & v5 = e1 &  ~
% 182.39/27.41  |               (v9 = e3) &  ~ (v3 = e1) & op(e3, e3) = e1 & op(e3, e1) = v9 &
% 182.39/27.41  |               op(e2, e2) = v3 & op(e2, e1) = e2 & $i(v9) & $i(v3)) | (v8 = e2
% 182.39/27.41  |               & v0 = e1 &  ~ (v7 = e0) &  ~ (v3 = e1) & op(e2, e2) = v3 &
% 182.39/27.41  |               op(e2, e1) = e2 & op(e0, e1) = v7 & op(e0, e0) = e1 & $i(v7) &
% 182.39/27.41  |               $i(v3)) | (v6 = e3 & v3 = e0 &  ~ (v5 = e0) &  ~ (v4 = e2) &
% 182.39/27.41  |               op(e3, e3) = v5 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 182.39/27.41  |               = v4 & $i(v5) & $i(v4)) | (v6 = e3 & v1 = e0 &  ~ (v5 = e0) &  ~
% 182.39/27.41  |               (v2 = e1) & op(e3, e3) = v5 & op(e3, e0) = e3 & op(e1, e1) = e0
% 182.39/27.41  |               & op(e1, e0) = v2 & $i(v5) & $i(v2)) | (v5 = e0 & v4 = e2 &  ~
% 182.39/27.41  |               (v6 = e3) &  ~ (v3 = e0) & op(e3, e3) = e0 & op(e3, e0) = v6 &
% 182.39/27.41  |               op(e2, e2) = v3 & op(e2, e0) = e2 & $i(v6) & $i(v3)) | (v5 = e0
% 182.39/27.41  |               & v2 = e1 &  ~ (v6 = e3) &  ~ (v1 = e0) & op(e3, e3) = e0 &
% 182.39/27.41  |               op(e3, e0) = v6 & op(e1, e1) = v1 & op(e1, e0) = e1 & $i(v6) &
% 182.39/27.41  |               $i(v1)) | (v4 = e2 & v1 = e0 &  ~ (v3 = e0) &  ~ (v2 = e1) &
% 182.39/27.41  |               op(e2, e2) = v3 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0)
% 182.39/27.41  |               = v2 & $i(v3) & $i(v2)) | (v3 = e0 & v2 = e1 &  ~ (v4 = e2) &  ~
% 182.39/27.41  |               (v1 = e0) & op(e2, e2) = e0 & op(e2, e0) = v4 & op(e1, e1) = v1
% 182.39/27.41  |               & op(e1, e0) = e1 & $i(v4) & $i(v1)) | (op(e0, e0) = v0 & $i(v0)
% 182.39/27.41  |               & ((v13 = e0 & v3 = e3 &  ~ (v15 = e2) &  ~ (v0 = e3) & op(e2,
% 182.39/27.41  |                     e3) = v15 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(v15)) |
% 182.39/27.41  |                 (v13 = e0 & v1 = e3 &  ~ (v14 = e1) &  ~ (v0 = e3) & op(e1,
% 182.39/27.41  |                     e3) = v14 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(v14)) |
% 182.39/27.41  |                 (v10 = e0 & v5 = e2 &  ~ (v12 = e3) &  ~ (v0 = e2) & op(e3,
% 182.39/27.41  |                     e3) = e2 & op(e3, e2) = v12 & op(e0, e2) = e0 & $i(v12)) |
% 182.39/27.41  |                 (v10 = e0 & v1 = e2 &  ~ (v11 = e1) &  ~ (v0 = e2) & op(e1,
% 182.39/27.41  |                     e2) = v11 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(v11)) |
% 182.39/27.41  |                 (v7 = e0 & v5 = e1 &  ~ (v9 = e3) &  ~ (v0 = e1) & op(e3, e3)
% 182.39/27.41  |                   = e1 & op(e3, e1) = v9 & op(e0, e1) = e0 & $i(v9)) | (v7 =
% 182.39/27.41  |                   e0 & v3 = e1 &  ~ (v8 = e2) &  ~ (v0 = e1) & op(e2, e2) = e1
% 182.39/27.41  |                   & op(e2, e1) = v8 & op(e0, e1) = e0 & $i(v8))))))
% 182.39/27.41  | 
% 182.39/27.41  | ALPHA: (ax6) implies:
% 182.39/27.41  |   (11)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.41  |           ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e1) = v2 & op(e1, e2) = v1 &
% 182.39/27.41  |               $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 & $i(v1))))
% 182.39/27.41  | 
% 182.39/27.41  | ALPHA: (ax7) implies:
% 182.39/27.41  |   (12)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.41  |           ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e1) = v2 & op(e1, e3) = v1 &
% 182.39/27.41  |               $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 & $i(v1))))
% 182.39/27.41  | 
% 182.39/27.41  | ALPHA: (ax8) implies:
% 182.39/27.41  |   (13)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.41  |           ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e2) = v2 & op(e2, e1) = v1 &
% 182.39/27.41  |               $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 & $i(v1))))
% 182.39/27.41  | 
% 182.39/27.41  | ALPHA: (ax9) implies:
% 182.39/27.41  |   (14)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.41  |           ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e2) = v2 & op(e2, e3) = v1 &
% 182.39/27.41  |               $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 & $i(v1))))
% 182.39/27.41  | 
% 182.39/27.41  | ALPHA: (ax10) implies:
% 182.39/27.42  |   (15)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e3) = v2 & op(e3, e1) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax11) implies:
% 182.39/27.42  |   (16)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e3) = v2 & op(e3, e2) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax12) implies:
% 182.39/27.42  |   (17)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e0) = v2 & op(e0, e2) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax13) implies:
% 182.39/27.42  |   (18)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e0) = v2 & op(e0, e3) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax14) implies:
% 182.39/27.42  |   (19)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e2) = v2 & op(e2, e0) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax15) implies:
% 182.39/27.42  |   (20)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e2) = v2 & op(e2, e3) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax16) implies:
% 182.39/27.42  |   (21)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e3) = v2 & op(e3, e0) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax17) implies:
% 182.39/27.42  |   (22)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e3) = v2 & op(e3, e2) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax18) implies:
% 182.39/27.42  |   (23)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e0) = v2 & op(e0, e1) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax19) implies:
% 182.39/27.42  |   (24)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e0) = v2 & op(e0, e3) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax20) implies:
% 182.39/27.42  |   (25)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e1) = v2 & op(e1, e0) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax21) implies:
% 182.39/27.42  |   (26)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.42  |           ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e1) = v2 & op(e1, e3) = v1 &
% 182.39/27.42  |               $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 & $i(v1))))
% 182.39/27.42  | 
% 182.39/27.42  | ALPHA: (ax22) implies:
% 182.39/27.43  |   (27)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.43  |           ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e3) = v2 & op(e3, e0) = v1 &
% 182.39/27.43  |               $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 & $i(v1))))
% 182.39/27.43  | 
% 182.39/27.43  | ALPHA: (ax23) implies:
% 182.39/27.43  |   (28)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 182.39/27.43  |           ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e3) = v2 & op(e3, e1) = v1 &
% 182.39/27.43  |               $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 & $i(v1))))
% 182.39/27.43  | 
% 182.39/27.43  | ALPHA: (ax24) implies:
% 182.39/27.43  |   (29)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.43  |           ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e0) = v2 & op(e0, e1) = v1 &
% 182.39/27.43  |               $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 & $i(v1))))
% 182.39/27.43  | 
% 182.39/27.43  | ALPHA: (ax25) implies:
% 182.39/27.43  |   (30)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 182.39/27.43  |           ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e0) = v2 & op(e0, e2) = v1 &
% 182.39/27.43  |               $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 & $i(v1))))
% 182.39/27.43  | 
% 182.39/27.43  | ALPHA: (ax26) implies:
% 182.39/27.43  |   (31)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.43  |           ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e1) = v2 & op(e1, e0) = v1 &
% 182.39/27.43  |               $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 & $i(v1))))
% 182.39/27.43  | 
% 182.39/27.43  | ALPHA: (ax27) implies:
% 182.39/27.43  |   (32)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 182.39/27.43  |           ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e1) = v2 & op(e1, e2) = v1 &
% 182.39/27.43  |               $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 & $i(v1))))
% 182.39/27.43  | 
% 182.39/27.43  | ALPHA: (ax28) implies:
% 182.39/27.43  |   (33)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.43  |           ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e2) = v2 & op(e2, e0) = v1 &
% 182.39/27.43  |               $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 & $i(v1))))
% 182.39/27.43  | 
% 182.39/27.43  | ALPHA: (ax29) implies:
% 182.39/27.43  |   (34)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 182.39/27.43  |           ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e2) = v2 & op(e2, e1) = v1 &
% 182.39/27.43  |               $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 & $i(v1))))
% 182.39/27.43  | 
% 182.39/27.43  | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 182.39/27.43  |   (35)  op(e2, e2) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e3) | ( ~ (all_4_0
% 182.39/27.43  |               = e0) & op(all_4_1, e2) = all_4_0 & op(e2, e3) = all_4_1 &
% 182.39/27.43  |             $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e1) & op(e2, e3) =
% 182.39/27.43  |             all_4_1 & $i(all_4_1)))
% 182.39/27.43  | 
% 182.39/27.43  | ALPHA: (35) implies:
% 182.39/27.43  |   (36)  op(e2, e2) = all_4_2
% 182.39/27.43  |   (37)   ~ (all_4_2 = e3) | ( ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 &
% 182.39/27.43  |           op(e2, e3) = all_4_1 & $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 =
% 182.39/27.43  |             e1) & op(e2, e3) = all_4_1 & $i(all_4_1))
% 182.39/27.43  | 
% 182.39/27.43  | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 182.39/27.43  |   (38)  op(e3, e3) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e0) | ( ~ (all_6_0
% 182.39/27.43  |               = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 182.39/27.43  |             $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) =
% 182.39/27.43  |             all_6_1 & $i(all_6_1)))
% 182.39/27.43  | 
% 182.39/27.43  | ALPHA: (38) implies:
% 182.39/27.43  |   (39)  op(e3, e3) = all_6_2
% 182.39/27.43  |   (40)   ~ (all_6_2 = e0) | ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 &
% 182.39/27.43  |           op(e3, e0) = all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 =
% 182.39/27.43  |             e2) & op(e3, e0) = all_6_1 & $i(all_6_1))
% 182.39/27.43  | 
% 182.39/27.43  | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 182.39/27.43  |   (41)  op(e3, e3) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e0) | ( ~ (all_8_0
% 182.39/27.43  |               = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 182.39/27.43  |             $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) =
% 182.39/27.43  |             all_8_1 & $i(all_8_1)))
% 182.39/27.43  | 
% 182.39/27.43  | ALPHA: (41) implies:
% 182.39/27.43  |   (42)  op(e3, e3) = all_8_2
% 182.39/27.44  |   (43)   ~ (all_8_2 = e0) | ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 &
% 182.39/27.44  |           op(e3, e0) = all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 =
% 182.39/27.44  |             e1) & op(e3, e0) = all_8_1 & $i(all_8_1))
% 182.39/27.44  | 
% 182.39/27.44  | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 182.39/27.44  |        gives:
% 182.39/27.44  |   (44)  op(e1, e1) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e2) | ( ~
% 182.39/27.44  |             (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 & op(e1, e2) =
% 182.39/27.44  |             all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~ (all_10_1 = e0) &
% 182.39/27.44  |             op(e1, e2) = all_10_1 & $i(all_10_1)))
% 182.39/27.44  | 
% 182.39/27.44  | ALPHA: (44) implies:
% 182.39/27.44  |   (45)  op(e1, e1) = all_10_2
% 182.39/27.44  |   (46)   ~ (all_10_2 = e2) | ( ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0
% 182.39/27.44  |           & op(e1, e2) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~
% 182.39/27.44  |           (all_10_1 = e0) & op(e1, e2) = all_10_1 & $i(all_10_1))
% 182.39/27.44  | 
% 182.39/27.44  | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 182.39/27.44  |        gives:
% 182.39/27.44  |   (47)  op(e3, e3) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e2) | ( ~
% 182.39/27.44  |             (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3, e2) =
% 182.39/27.44  |             all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e1) &
% 182.39/27.44  |             op(e3, e2) = all_12_1 & $i(all_12_1)))
% 182.39/27.44  | 
% 182.39/27.44  | ALPHA: (47) implies:
% 182.39/27.44  |   (48)  op(e3, e3) = all_12_2
% 182.39/27.44  |   (49)   ~ (all_12_2 = e2) | ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0
% 182.39/27.44  |           & op(e3, e2) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 182.39/27.44  |           (all_12_1 = e1) & op(e3, e2) = all_12_1 & $i(all_12_1))
% 182.39/27.44  | 
% 182.39/27.44  | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 182.39/27.44  |        gives:
% 182.39/27.44  |   (50)  op(e0, e0) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e1) | ( ~
% 182.39/27.44  |             (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 182.39/27.44  |             all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) &
% 182.39/27.44  |             op(e0, e1) = all_14_1 & $i(all_14_1)))
% 182.39/27.44  | 
% 182.39/27.44  | ALPHA: (50) implies:
% 182.39/27.44  |   (51)  op(e0, e0) = all_14_2
% 182.39/27.44  |   (52)   ~ (all_14_2 = e1) | ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0
% 182.39/27.44  |           & op(e0, e1) = all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~
% 182.39/27.44  |           (all_14_1 = e3) & op(e0, e1) = all_14_1 & $i(all_14_1))
% 182.39/27.44  | 
% 182.39/27.44  | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 182.39/27.44  |        gives:
% 182.39/27.44  |   (53)  op(e0, e0) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e1) | ( ~
% 182.39/27.44  |             (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 182.39/27.44  |             all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) &
% 182.39/27.44  |             op(e0, e1) = all_16_1 & $i(all_16_1)))
% 182.39/27.44  | 
% 182.39/27.44  | ALPHA: (53) implies:
% 182.39/27.44  |   (54)  op(e0, e0) = all_16_2
% 182.39/27.44  |   (55)   ~ (all_16_2 = e1) | ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0
% 182.39/27.44  |           & op(e0, e1) = all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~
% 182.39/27.44  |           (all_16_1 = e2) & op(e0, e1) = all_16_1 & $i(all_16_1))
% 182.39/27.44  | 
% 182.39/27.44  | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 182.39/27.44  |        gives:
% 182.39/27.44  |   (56)  op(e0, e0) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e3) | ( ~
% 182.39/27.44  |             (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 182.39/27.44  |             all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) &
% 182.39/27.44  |             op(e0, e3) = all_18_1 & $i(all_18_1)))
% 182.39/27.44  | 
% 182.39/27.44  | ALPHA: (56) implies:
% 182.39/27.44  |   (57)  op(e0, e0) = all_18_2
% 182.39/27.44  |   (58)   ~ (all_18_2 = e3) | ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0
% 182.39/27.44  |           & op(e0, e3) = all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~
% 182.39/27.44  |           (all_18_1 = e2) & op(e0, e3) = all_18_1 & $i(all_18_1))
% 182.39/27.44  | 
% 182.39/27.44  | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 182.39/27.44  |        gives:
% 182.39/27.44  |   (59)  op(e1, e1) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e3) | ( ~
% 182.39/27.44  |             (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) =
% 182.39/27.44  |             all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e2) &
% 182.39/27.44  |             op(e1, e3) = all_20_1 & $i(all_20_1)))
% 182.39/27.44  | 
% 182.39/27.44  | ALPHA: (59) implies:
% 182.39/27.44  |   (60)  op(e1, e1) = all_20_2
% 182.39/27.44  |   (61)   ~ (all_20_2 = e3) | ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0
% 182.39/27.44  |           & op(e1, e3) = all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~
% 182.39/27.44  |           (all_20_1 = e2) & op(e1, e3) = all_20_1 & $i(all_20_1))
% 182.39/27.44  | 
% 182.39/27.44  | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 182.39/27.44  |        gives:
% 182.39/27.44  |   (62)  op(e1, e1) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e0) | ( ~
% 182.39/27.44  |             (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 & op(e1, e0) =
% 182.39/27.44  |             all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~ (all_22_1 = e3) &
% 182.39/27.44  |             op(e1, e0) = all_22_1 & $i(all_22_1)))
% 182.39/27.44  | 
% 182.39/27.44  | ALPHA: (62) implies:
% 182.39/27.44  |   (63)  op(e1, e1) = all_22_2
% 182.39/27.44  |   (64)   ~ (all_22_2 = e0) | ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 182.39/27.44  |           & op(e1, e0) = all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~
% 182.39/27.44  |           (all_22_1 = e3) & op(e1, e0) = all_22_1 & $i(all_22_1))
% 182.39/27.44  | 
% 182.39/27.44  | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 182.39/27.44  |        gives:
% 182.39/27.44  |   (65)  op(e2, e2) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e1) | ( ~
% 182.39/27.44  |             (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 182.39/27.44  |             all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) &
% 182.39/27.44  |             op(e2, e1) = all_24_1 & $i(all_24_1)))
% 182.39/27.44  | 
% 182.39/27.44  | ALPHA: (65) implies:
% 182.39/27.44  |   (66)  op(e2, e2) = all_24_2
% 182.39/27.45  |   (67)   ~ (all_24_2 = e1) | ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 182.39/27.45  |           & op(e2, e1) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~
% 182.39/27.45  |           (all_24_1 = e0) & op(e2, e1) = all_24_1 & $i(all_24_1))
% 182.39/27.45  | 
% 182.39/27.45  | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 182.39/27.45  |        gives:
% 182.39/27.45  |   (68)  op(e3, e3) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e1) | ( ~
% 182.39/27.45  |             (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 & op(e3, e1) =
% 182.39/27.45  |             all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~ (all_26_1 = e2) &
% 182.39/27.45  |             op(e3, e1) = all_26_1 & $i(all_26_1)))
% 182.39/27.45  | 
% 182.39/27.45  | ALPHA: (68) implies:
% 182.39/27.45  |   (69)  op(e3, e3) = all_26_2
% 182.39/27.45  |   (70)   ~ (all_26_2 = e1) | ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0
% 182.39/27.45  |           & op(e3, e1) = all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~
% 182.39/27.45  |           (all_26_1 = e2) & op(e3, e1) = all_26_1 & $i(all_26_1))
% 182.39/27.45  | 
% 182.39/27.45  | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 182.39/27.45  |        gives:
% 182.39/27.45  |   (71)  op(e0, e0) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e2) | ( ~
% 182.39/27.45  |             (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 & op(e0, e2) =
% 182.39/27.45  |             all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 = e3) &
% 182.39/27.45  |             op(e0, e2) = all_28_1 & $i(all_28_1)))
% 182.39/27.45  | 
% 182.39/27.45  | ALPHA: (71) implies:
% 182.39/27.45  |   (72)  op(e0, e0) = all_28_2
% 182.39/27.45  |   (73)   ~ (all_28_2 = e2) | ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 182.39/27.45  |           & op(e0, e2) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~
% 182.39/27.45  |           (all_28_1 = e3) & op(e0, e2) = all_28_1 & $i(all_28_1))
% 182.39/27.45  | 
% 182.39/27.45  | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 182.39/27.45  |        gives:
% 182.39/27.45  |   (74)  op(e1, e1) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e3) | ( ~
% 182.39/27.45  |             (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 & op(e1, e3) =
% 182.39/27.45  |             all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 = e0) &
% 182.39/27.45  |             op(e1, e3) = all_30_1 & $i(all_30_1)))
% 182.39/27.45  | 
% 182.39/27.45  | ALPHA: (74) implies:
% 182.39/27.45  |   (75)  op(e1, e1) = all_30_2
% 182.39/27.45  |   (76)   ~ (all_30_2 = e3) | ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 182.39/27.45  |           & op(e1, e3) = all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~
% 182.39/27.45  |           (all_30_1 = e0) & op(e1, e3) = all_30_1 & $i(all_30_1))
% 182.39/27.45  | 
% 182.39/27.45  | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 182.39/27.45  |        gives:
% 182.39/27.45  |   (77)  op(e2, e2) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e0) | ( ~
% 182.39/27.45  |             (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 & op(e2, e0) =
% 182.39/27.45  |             all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 = e1) &
% 182.39/27.45  |             op(e2, e0) = all_32_1 & $i(all_32_1)))
% 182.39/27.45  | 
% 182.39/27.45  | ALPHA: (77) implies:
% 182.39/27.45  |   (78)  op(e2, e2) = all_32_2
% 182.39/27.45  |   (79)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0
% 182.39/27.45  |           & op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~
% 182.39/27.45  |           (all_32_1 = e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 182.39/27.45  | 
% 182.39/27.45  | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 182.39/27.45  |        gives:
% 182.39/27.45  |   (80)  op(e1, e1) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e2) | ( ~
% 182.39/27.45  |             (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 & op(e1, e2) =
% 182.39/27.45  |             all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~ (all_34_1 = e3) &
% 182.39/27.45  |             op(e1, e2) = all_34_1 & $i(all_34_1)))
% 182.39/27.45  | 
% 182.39/27.45  | ALPHA: (80) implies:
% 182.39/27.45  |   (81)  op(e1, e1) = all_34_2
% 182.39/27.45  |   (82)   ~ (all_34_2 = e2) | ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0
% 182.39/27.45  |           & op(e1, e2) = all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~
% 182.39/27.45  |           (all_34_1 = e3) & op(e1, e2) = all_34_1 & $i(all_34_1))
% 182.39/27.45  | 
% 182.39/27.45  | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 182.39/27.45  |        gives:
% 182.39/27.45  |   (83)  op(e2, e2) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e0) | ( ~
% 182.39/27.45  |             (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0) =
% 182.39/27.45  |             all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e3) &
% 182.39/27.45  |             op(e2, e0) = all_36_1 & $i(all_36_1)))
% 182.39/27.45  | 
% 182.39/27.45  | ALPHA: (83) implies:
% 182.39/27.45  |   (84)  op(e2, e2) = all_36_2
% 182.39/27.45  |   (85)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 182.39/27.45  |           & op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~
% 182.39/27.45  |           (all_36_1 = e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 182.39/27.45  | 
% 182.39/27.45  | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 182.39/27.45  |        gives:
% 182.39/27.45  |   (86)  op(e1, e1) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e0) | ( ~
% 182.39/27.45  |             (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 & op(e1, e0) =
% 182.39/27.45  |             all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~ (all_38_1 = e2) &
% 182.39/27.45  |             op(e1, e0) = all_38_1 & $i(all_38_1)))
% 182.39/27.45  | 
% 182.39/27.45  | ALPHA: (86) implies:
% 182.39/27.45  |   (87)  op(e1, e1) = all_38_2
% 182.39/27.45  |   (88)   ~ (all_38_2 = e0) | ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0
% 182.39/27.45  |           & op(e1, e0) = all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~
% 182.39/27.45  |           (all_38_1 = e2) & op(e1, e0) = all_38_1 & $i(all_38_1))
% 182.39/27.45  | 
% 182.39/27.45  | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 182.39/27.45  |        gives:
% 182.39/27.45  |   (89)  op(e2, e2) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e3) | ( ~
% 182.39/27.45  |             (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 & op(e2, e3) =
% 182.39/27.45  |             all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 = e0) &
% 182.39/27.45  |             op(e2, e3) = all_40_1 & $i(all_40_1)))
% 182.39/27.45  | 
% 182.39/27.45  | ALPHA: (89) implies:
% 182.39/27.45  |   (90)  op(e2, e2) = all_40_2
% 182.39/27.46  |   (91)   ~ (all_40_2 = e3) | ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0
% 182.39/27.46  |           & op(e2, e3) = all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~
% 182.39/27.46  |           (all_40_1 = e0) & op(e2, e3) = all_40_1 & $i(all_40_1))
% 182.39/27.46  | 
% 182.39/27.46  | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 182.39/27.46  |        gives:
% 182.39/27.46  |   (92)  op(e3, e3) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e1) | ( ~
% 182.39/27.46  |             (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 & op(e3, e1) =
% 182.39/27.46  |             all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 = e0) &
% 182.39/27.46  |             op(e3, e1) = all_42_1 & $i(all_42_1)))
% 182.39/27.46  | 
% 182.39/27.46  | ALPHA: (92) implies:
% 182.83/27.46  |   (93)  op(e3, e3) = all_42_2
% 182.83/27.46  |   (94)   ~ (all_42_2 = e1) | ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 182.83/27.46  |           & op(e3, e1) = all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~
% 182.83/27.46  |           (all_42_1 = e0) & op(e3, e1) = all_42_1 & $i(all_42_1))
% 182.83/27.46  | 
% 182.83/27.46  | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 182.83/27.46  |        gives:
% 182.83/27.46  |   (95)  op(e2, e2) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e1) | ( ~
% 182.83/27.46  |             (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 & op(e2, e1) =
% 182.83/27.46  |             all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 = e3) &
% 182.83/27.46  |             op(e2, e1) = all_44_1 & $i(all_44_1)))
% 182.83/27.46  | 
% 182.83/27.46  | ALPHA: (95) implies:
% 182.83/27.46  |   (96)  op(e2, e2) = all_44_2
% 182.83/27.46  |   (97)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0
% 182.83/27.46  |           & op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~
% 182.83/27.46  |           (all_44_1 = e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 182.83/27.46  | 
% 182.83/27.46  | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 182.83/27.46  |        gives:
% 182.83/27.46  |   (98)  op(e3, e3) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e2) | ( ~
% 182.83/27.46  |             (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 & op(e3, e2) =
% 182.83/27.46  |             all_46_1 & $i(all_46_0) & $i(all_46_1)) | ( ~ (all_46_1 = e0) &
% 182.83/27.46  |             op(e3, e2) = all_46_1 & $i(all_46_1)))
% 182.83/27.46  | 
% 182.83/27.46  | ALPHA: (98) implies:
% 182.83/27.46  |   (99)  op(e3, e3) = all_46_2
% 182.83/27.46  |   (100)   ~ (all_46_2 = e2) | ( ~ (all_46_0 = e1) & op(all_46_1, e3) =
% 182.83/27.46  |            all_46_0 & op(e3, e2) = all_46_1 & $i(all_46_0) & $i(all_46_1)) | (
% 182.83/27.46  |            ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 & $i(all_46_1))
% 182.83/27.46  | 
% 182.83/27.46  | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 182.83/27.46  |        gives:
% 182.83/27.46  |   (101)  op(e0, e0) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e3) | ( ~
% 182.83/27.46  |              (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 & op(e0, e3) =
% 182.83/27.46  |              all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 = e1) &
% 182.83/27.46  |              op(e0, e3) = all_48_1 & $i(all_48_1)))
% 182.83/27.46  | 
% 182.83/27.46  | ALPHA: (101) implies:
% 182.83/27.46  |   (102)  op(e0, e0) = all_48_2
% 182.83/27.46  |   (103)   ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) =
% 182.83/27.46  |            all_48_0 & op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | (
% 182.83/27.46  |            ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 182.83/27.46  | 
% 182.83/27.46  | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 182.83/27.46  |        gives:
% 182.83/27.46  |   (104)  op(e0, e0) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e2) | ( ~
% 182.83/27.46  |              (all_50_0 = e3) & op(all_50_1, e0) = all_50_0 & op(e0, e2) =
% 182.83/27.46  |              all_50_1 & $i(all_50_0) & $i(all_50_1)) | ( ~ (all_50_1 = e1) &
% 182.83/27.46  |              op(e0, e2) = all_50_1 & $i(all_50_1)))
% 182.83/27.46  | 
% 182.83/27.46  | ALPHA: (104) implies:
% 182.83/27.46  |   (105)  op(e0, e0) = all_50_2
% 182.83/27.46  |   (106)   ~ (all_50_2 = e2) | ( ~ (all_50_0 = e3) & op(all_50_1, e0) =
% 182.83/27.46  |            all_50_0 & op(e0, e2) = all_50_1 & $i(all_50_0) & $i(all_50_1)) | (
% 182.83/27.46  |            ~ (all_50_1 = e1) & op(e0, e2) = all_50_1 & $i(all_50_1))
% 182.83/27.46  | 
% 182.83/27.46  | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 182.83/27.46  |        all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 182.83/27.46  |        all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 182.83/27.46  |   (107)   ~ (all_52_0 = all_52_1) &  ~ (all_52_0 = all_52_2) &  ~ (all_52_0 =
% 182.83/27.46  |            all_52_3) &  ~ (all_52_0 = all_52_4) &  ~ (all_52_0 = all_52_8) & 
% 182.83/27.46  |          ~ (all_52_0 = all_52_12) &  ~ (all_52_1 = all_52_2) &  ~ (all_52_1 =
% 182.83/27.46  |            all_52_3) &  ~ (all_52_1 = all_52_5) &  ~ (all_52_1 = all_52_9) & 
% 182.83/27.46  |          ~ (all_52_1 = all_52_13) &  ~ (all_52_2 = all_52_3) &  ~ (all_52_2 =
% 182.83/27.46  |            all_52_6) &  ~ (all_52_2 = all_52_10) &  ~ (all_52_2 = all_52_14) &
% 182.83/27.46  |           ~ (all_52_3 = all_52_7) &  ~ (all_52_3 = all_52_11) &  ~ (all_52_3 =
% 182.83/27.46  |            all_52_15) &  ~ (all_52_4 = all_52_5) &  ~ (all_52_4 = all_52_6) & 
% 182.83/27.46  |          ~ (all_52_4 = all_52_7) &  ~ (all_52_4 = all_52_8) &  ~ (all_52_4 =
% 182.83/27.46  |            all_52_12) &  ~ (all_52_5 = all_52_6) &  ~ (all_52_5 = all_52_7) & 
% 182.83/27.46  |          ~ (all_52_5 = all_52_9) &  ~ (all_52_5 = all_52_13) &  ~ (all_52_6 =
% 182.83/27.46  |            all_52_7) &  ~ (all_52_6 = all_52_10) &  ~ (all_52_6 = all_52_14) &
% 182.83/27.46  |           ~ (all_52_7 = all_52_11) &  ~ (all_52_7 = all_52_15) &  ~ (all_52_8
% 182.83/27.46  |            = all_52_9) &  ~ (all_52_8 = all_52_10) &  ~ (all_52_8 = all_52_11)
% 182.83/27.46  |          &  ~ (all_52_8 = all_52_12) &  ~ (all_52_9 = all_52_10) &  ~
% 182.83/27.46  |          (all_52_9 = all_52_11) &  ~ (all_52_9 = all_52_13) &  ~ (all_52_10 =
% 182.83/27.46  |            all_52_11) &  ~ (all_52_10 = all_52_14) &  ~ (all_52_11 =
% 182.83/27.46  |            all_52_15) &  ~ (all_52_12 = all_52_13) &  ~ (all_52_12 =
% 182.83/27.46  |            all_52_14) &  ~ (all_52_12 = all_52_15) &  ~ (all_52_13 =
% 182.83/27.46  |            all_52_14) &  ~ (all_52_13 = all_52_15) &  ~ (all_52_14 =
% 182.83/27.46  |            all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 182.83/27.46  |            e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 182.83/27.46  |          op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 182.83/27.46  |          all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 182.83/27.46  |            e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 182.83/27.46  |          op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 182.83/27.46  |          all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 182.83/27.46  |          & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 182.83/27.46  |          $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 182.83/27.46  |          $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 182.83/27.46  | 
% 182.83/27.46  | ALPHA: (107) implies:
% 182.83/27.46  |   (108)   ~ (all_52_14 = all_52_15)
% 182.83/27.46  |   (109)   ~ (all_52_13 = all_52_15)
% 182.83/27.46  |   (110)   ~ (all_52_13 = all_52_14)
% 182.83/27.46  |   (111)   ~ (all_52_12 = all_52_15)
% 182.83/27.46  |   (112)   ~ (all_52_12 = all_52_14)
% 182.83/27.46  |   (113)   ~ (all_52_12 = all_52_13)
% 182.83/27.46  |   (114)   ~ (all_52_11 = all_52_15)
% 182.83/27.46  |   (115)   ~ (all_52_10 = all_52_14)
% 182.83/27.46  |   (116)   ~ (all_52_10 = all_52_11)
% 182.83/27.46  |   (117)   ~ (all_52_9 = all_52_13)
% 182.83/27.47  |   (118)   ~ (all_52_9 = all_52_11)
% 182.83/27.47  |   (119)   ~ (all_52_9 = all_52_10)
% 182.83/27.47  |   (120)   ~ (all_52_8 = all_52_12)
% 182.83/27.47  |   (121)   ~ (all_52_8 = all_52_11)
% 182.83/27.47  |   (122)   ~ (all_52_8 = all_52_10)
% 182.83/27.47  |   (123)   ~ (all_52_8 = all_52_9)
% 182.83/27.47  |   (124)   ~ (all_52_7 = all_52_15)
% 182.83/27.47  |   (125)   ~ (all_52_7 = all_52_11)
% 182.83/27.47  |   (126)   ~ (all_52_6 = all_52_14)
% 182.83/27.47  |   (127)   ~ (all_52_6 = all_52_10)
% 182.83/27.47  |   (128)   ~ (all_52_6 = all_52_7)
% 182.83/27.47  |   (129)   ~ (all_52_5 = all_52_13)
% 182.83/27.47  |   (130)   ~ (all_52_5 = all_52_9)
% 182.83/27.47  |   (131)   ~ (all_52_5 = all_52_7)
% 182.83/27.47  |   (132)   ~ (all_52_5 = all_52_6)
% 182.83/27.47  |   (133)   ~ (all_52_4 = all_52_12)
% 182.83/27.47  |   (134)   ~ (all_52_4 = all_52_8)
% 182.83/27.47  |   (135)   ~ (all_52_4 = all_52_7)
% 182.83/27.47  |   (136)   ~ (all_52_4 = all_52_6)
% 182.83/27.47  |   (137)   ~ (all_52_4 = all_52_5)
% 182.83/27.47  |   (138)   ~ (all_52_3 = all_52_15)
% 182.83/27.47  |   (139)   ~ (all_52_3 = all_52_11)
% 182.83/27.47  |   (140)   ~ (all_52_3 = all_52_7)
% 182.83/27.47  |   (141)   ~ (all_52_2 = all_52_14)
% 182.83/27.47  |   (142)   ~ (all_52_2 = all_52_10)
% 182.83/27.47  |   (143)   ~ (all_52_2 = all_52_6)
% 182.83/27.47  |   (144)   ~ (all_52_2 = all_52_3)
% 182.83/27.47  |   (145)   ~ (all_52_1 = all_52_13)
% 182.83/27.47  |   (146)   ~ (all_52_1 = all_52_9)
% 182.83/27.47  |   (147)   ~ (all_52_1 = all_52_5)
% 182.83/27.47  |   (148)   ~ (all_52_1 = all_52_3)
% 182.83/27.47  |   (149)   ~ (all_52_1 = all_52_2)
% 182.83/27.47  |   (150)   ~ (all_52_0 = all_52_12)
% 182.83/27.47  |   (151)   ~ (all_52_0 = all_52_8)
% 182.83/27.47  |   (152)   ~ (all_52_0 = all_52_4)
% 182.83/27.47  |   (153)   ~ (all_52_0 = all_52_3)
% 182.83/27.47  |   (154)   ~ (all_52_0 = all_52_2)
% 182.83/27.47  |   (155)   ~ (all_52_0 = all_52_1)
% 182.83/27.47  |   (156)  op(e0, e0) = all_52_15
% 182.83/27.47  |   (157)  op(e0, e1) = all_52_11
% 182.83/27.47  |   (158)  op(e0, e2) = all_52_7
% 182.83/27.47  |   (159)  op(e0, e3) = all_52_3
% 182.83/27.47  |   (160)  op(e1, e0) = all_52_14
% 182.83/27.47  |   (161)  op(e1, e1) = all_52_10
% 182.83/27.47  |   (162)  op(e1, e2) = all_52_6
% 182.83/27.47  |   (163)  op(e1, e3) = all_52_2
% 182.83/27.47  |   (164)  op(e2, e0) = all_52_13
% 182.83/27.47  |   (165)  op(e2, e1) = all_52_9
% 182.83/27.47  |   (166)  op(e2, e2) = all_52_5
% 182.83/27.47  |   (167)  op(e2, e3) = all_52_1
% 182.83/27.47  |   (168)  op(e3, e0) = all_52_12
% 182.83/27.47  |   (169)  op(e3, e1) = all_52_8
% 182.83/27.47  |   (170)  op(e3, e2) = all_52_4
% 182.83/27.47  |   (171)  op(e3, e3) = all_52_0
% 182.83/27.47  | 
% 182.83/27.47  | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 182.83/27.47  |        all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 182.83/27.47  |        all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 182.83/27.47  |   (172)  op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 182.83/27.47  |          & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 182.83/27.47  |          all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 182.83/27.47  |          = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 182.83/27.47  |            e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 182.83/27.47  |          op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 182.83/27.47  |          $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 182.83/27.47  |          $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 182.83/27.47  |          $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 182.83/27.47  |          $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 182.83/27.47  |            all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 182.83/27.47  |            all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 182.83/27.47  |            all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 182.83/27.47  |            all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 182.83/27.47  |            all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 182.83/27.47  |            all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 182.83/27.47  |            all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 182.83/27.47  |            all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 182.83/27.47  |            all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 182.83/27.47  |            all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 182.83/27.47  |            all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 182.83/27.47  |            | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 182.83/27.47  |            e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 182.83/27.47  |            = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 182.83/27.47  |          (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 182.83/27.47  |          (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 182.83/27.47  | 
% 182.83/27.47  | ALPHA: (172) implies:
% 182.83/27.47  |   (173)  op(e0, e0) = all_54_15
% 182.83/27.47  |   (174)  op(e0, e1) = all_54_14
% 182.83/27.47  |   (175)  op(e0, e2) = all_54_13
% 182.83/27.47  |   (176)  op(e0, e3) = all_54_12
% 182.83/27.47  |   (177)  op(e1, e0) = all_54_11
% 182.83/27.47  |   (178)  op(e1, e1) = all_54_10
% 182.83/27.47  |   (179)  op(e1, e2) = all_54_9
% 182.83/27.47  |   (180)  op(e1, e3) = all_54_8
% 182.83/27.47  |   (181)  op(e2, e0) = all_54_7
% 182.83/27.47  |   (182)  op(e2, e1) = all_54_6
% 182.83/27.47  |   (183)  op(e2, e2) = all_54_5
% 182.83/27.47  |   (184)  op(e2, e3) = all_54_4
% 182.83/27.47  |   (185)  op(e3, e0) = all_54_3
% 182.83/27.47  |   (186)  op(e3, e1) = all_54_2
% 182.83/27.47  |   (187)  op(e3, e2) = all_54_1
% 182.83/27.47  |   (188)  op(e3, e3) = all_54_0
% 182.83/27.48  |   (189)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 182.83/27.48  |   (190)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 182.83/27.48  |   (191)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 182.83/27.48  |   (192)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 182.83/27.48  |   (193)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 182.83/27.48  |   (194)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 182.83/27.48  |   (195)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 182.83/27.48  |   (196)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 182.83/27.48  |   (197)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 182.83/27.48  |   (198)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 182.83/27.48  |   (199)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 182.83/27.48  |   (200)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 182.83/27.48  |   (201)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 182.83/27.48  |   (202)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 182.83/27.48  |   (203)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 182.83/27.48  |   (204)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 182.83/27.48  | 
% 182.83/27.48  | DELTA: instantiating (2) with fresh symbols all_56_0, all_56_1, all_56_2,
% 182.83/27.48  |        all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 182.83/27.48  |        all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 182.83/27.49  |   (205)  ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 182.83/27.49  |              e3) | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 182.83/27.49  |                e0) = e3)) & ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 =
% 182.83/27.49  |              e3 & op(e2, e3) = e3) | (all_56_6 = e3 & op(e1, e3) = e3) |
% 182.83/27.49  |            (all_56_12 = e3 & op(e0, e3) = e3)) & ((all_56_0 = e2 & op(e3, e3)
% 182.83/27.49  |              = e2) | (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_4 = e2 &
% 182.83/27.49  |              op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)) &
% 182.83/27.49  |          ((all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 182.83/27.49  |              e2) | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 182.83/27.49  |              op(e0, e3) = e2)) & ((all_56_0 = e1 & op(e3, e3) = e1) |
% 182.83/27.49  |            (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_4 = e1 & op(e3, e1) =
% 182.83/27.49  |              e1) | (all_56_9 = e1 & op(e3, e0) = e1)) & ((all_56_0 = e1 &
% 182.83/27.49  |              op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_6
% 182.83/27.49  |              = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)) &
% 182.83/27.49  |          ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 182.83/27.49  |              e0) | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 182.83/27.49  |                e0) = e0)) & ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 =
% 182.83/27.49  |              e0 & op(e2, e3) = e0) | (all_56_6 = e0 & op(e1, e3) = e0) |
% 182.83/27.49  |            (all_56_12 = e0 & op(e0, e3) = e0)) & ((all_56_1 = e3 & op(e3, e2)
% 182.83/27.49  |              = e3) | (all_56_3 = e3 & op(e2, e2) = e3) | (all_56_7 = e3 &
% 182.83/27.49  |              op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)) &
% 182.83/27.49  |          ((all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 182.83/27.49  |              e2) | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 182.83/27.49  |              op(e0, e2) = e2)) & ((all_56_1 = e1 & op(e3, e2) = e1) |
% 182.83/27.49  |            (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 182.83/27.49  |              e1) | (all_56_13 = e1 & op(e0, e2) = e1)) & ((all_56_1 = e0 &
% 182.83/27.49  |              op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) | (all_56_7
% 182.83/27.49  |              = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)) &
% 182.83/27.49  |          ((all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 182.83/27.49  |              e3) | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 182.83/27.49  |              op(e2, e0) = e3)) & ((all_56_2 = e2 & op(e2, e3) = e2) |
% 182.83/27.49  |            (all_56_3 = e2 & op(e2, e2) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 182.83/27.49  |              e2) | (all_56_10 = e2 & op(e2, e0) = e2)) & ((all_56_2 = e1 &
% 182.83/27.49  |              op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_5
% 182.83/27.49  |              = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)) &
% 182.83/27.49  |          ((all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 182.83/27.49  |              e0) | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 182.83/27.49  |              op(e2, e0) = e0)) & ((all_56_4 = e3 & op(e3, e1) = e3) |
% 182.83/27.49  |            (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_8 = e3 & op(e1, e1) =
% 182.83/27.49  |              e3) | (all_56_14 = e3 & op(e0, e1) = e3)) & ((all_56_4 = e2 &
% 182.83/27.49  |              op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_8
% 182.83/27.49  |              = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)) &
% 182.83/27.49  |          ((all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 182.83/27.49  |              e1) | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 182.83/27.49  |              op(e0, e1) = e1)) & ((all_56_4 = e0 & op(e3, e1) = e0) |
% 182.83/27.49  |            (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_8 = e0 & op(e1, e1) =
% 182.83/27.49  |              e0) | (all_56_14 = e0 & op(e0, e1) = e0)) & ((all_56_6 = e3 &
% 182.83/27.49  |              op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_8
% 182.83/27.49  |              = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)) &
% 182.83/27.49  |          ((all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 182.83/27.49  |              e2) | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 182.83/27.49  |              op(e1, e0) = e2)) & ((all_56_6 = e1 & op(e1, e3) = e1) |
% 182.83/27.49  |            (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_8 = e1 & op(e1, e1) =
% 182.83/27.49  |              e1) | (all_56_11 = e1 & op(e1, e0) = e1)) & ((all_56_6 = e0 &
% 182.83/27.49  |              op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_8
% 182.83/27.49  |              = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 182.83/27.49  |          ((all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 182.83/27.49  |              e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 182.83/27.49  |              op(e0, e0) = e3)) & ((all_56_9 = e2 & op(e3, e0) = e2) |
% 182.83/27.49  |            (all_56_10 = e2 & op(e2, e0) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 182.83/27.49  |              e2) | (all_56_15 = e2 & op(e0, e0) = e2)) & ((all_56_9 = e1 &
% 182.83/27.49  |              op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 182.83/27.49  |            (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 182.83/27.49  |              e1)) & ((all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 182.83/27.49  |              op(e0, e2) = e3) | (all_56_14 = e3 & op(e0, e1) = e3) |
% 182.83/27.49  |            (all_56_15 = e3 & op(e0, e0) = e3)) & ((all_56_12 = e2 & op(e0, e3)
% 182.83/27.49  |              = e2) | (all_56_13 = e2 & op(e0, e2) = e2) | (all_56_14 = e2 &
% 182.83/27.49  |              op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)) &
% 182.83/27.49  |          ((all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 182.83/27.49  |              e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 182.83/27.49  |              op(e0, e0) = e1)) & ((all_56_15 = e0 & op(e0, e0) = e0) |
% 182.83/27.49  |            (((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 182.83/27.49  |                  = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 =
% 182.83/27.49  |                  e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 182.83/27.49  |                (all_56_14 = e0 & op(e0, e1) = e0))))
% 182.83/27.49  | 
% 182.83/27.49  | ALPHA: (205) implies:
% 182.83/27.49  |   (206)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 182.83/27.49  |                e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 182.83/27.49  |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 182.83/27.49  |              (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 182.83/27.49  |                = e0)))
% 182.83/27.49  |   (207)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 182.83/27.49  |            e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 182.83/27.49  |              e0) = e1)
% 182.83/27.49  |   (208)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 182.83/27.49  |            e2) | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 182.83/27.49  |              e0) = e2)
% 182.83/27.49  |   (209)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 182.83/27.49  |            e3) | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 182.83/27.49  |              e0) = e3)
% 182.83/27.49  |   (210)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 182.83/27.49  |            e1) | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 182.83/27.49  |              e0) = e1)
% 182.83/27.49  |   (211)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 182.83/27.49  |            e2) | (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 182.83/27.49  |              e0) = e2)
% 182.83/27.49  |   (212)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 182.83/27.49  |            e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 182.83/27.49  |              e0) = e3)
% 182.83/27.49  |   (213)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 182.83/27.49  |          | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 182.83/27.49  |            e0)
% 182.83/27.49  |   (214)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 182.83/27.49  |          | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 182.83/27.49  |            e1)
% 182.83/27.49  |   (215)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 182.83/27.49  |          | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 182.83/27.49  |            e2)
% 182.83/27.49  |   (216)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 182.83/27.49  |          | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 182.83/27.49  |            e3)
% 182.83/27.49  |   (217)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 182.83/27.49  |          | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 182.83/27.49  |            e0)
% 182.83/27.49  |   (218)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 182.83/27.49  |          | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 182.83/27.49  |            e1)
% 182.83/27.49  |   (219)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 182.83/27.49  |          | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 182.83/27.49  |            e2)
% 182.83/27.49  |   (220)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 182.83/27.49  |          | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 182.83/27.49  |            e3)
% 182.83/27.49  |   (221)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 182.83/27.49  |          | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 182.83/27.49  |            e0)
% 182.83/27.49  |   (222)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 182.83/27.49  |          | (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 182.83/27.49  |            e1)
% 182.83/27.49  |   (223)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 182.83/27.49  |          | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 182.83/27.49  |            e2)
% 182.83/27.49  |   (224)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 182.83/27.49  |          | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 182.83/27.49  |            e3)
% 182.83/27.49  |   (225)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 182.83/27.49  |          | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 182.83/27.49  |            e0)
% 182.83/27.50  |   (226)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 182.83/27.50  |          | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 182.83/27.50  |            e1)
% 182.83/27.50  |   (227)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 182.83/27.50  |          | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 182.83/27.50  |            e2)
% 182.83/27.50  |   (228)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 182.83/27.50  |          | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 182.83/27.50  |            e3)
% 182.83/27.50  |   (229)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 182.83/27.50  |          | (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 182.83/27.50  |            e0)
% 182.83/27.50  |   (230)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 182.83/27.50  |          | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 182.83/27.50  |            e0)
% 182.83/27.50  |   (231)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 182.83/27.50  |          | (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 182.83/27.50  |            e1)
% 182.83/27.50  |   (232)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 182.83/27.50  |          | (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 182.83/27.50  |            e1)
% 182.83/27.50  |   (233)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 182.83/27.50  |          | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 182.83/27.50  |            e2)
% 182.83/27.50  |   (234)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 182.83/27.50  |          | (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 182.83/27.50  |            e2)
% 182.83/27.50  |   (235)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 182.83/27.50  |          | (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 182.83/27.50  |            e3)
% 182.83/27.50  |   (236)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 182.83/27.50  |          | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 182.83/27.50  |            e3)
% 182.83/27.50  | 
% 182.83/27.50  | DELTA: instantiating (10) with fresh symbols all_57_0, all_57_1, all_57_2,
% 182.83/27.50  |        all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, all_57_9,
% 182.83/27.50  |        all_57_10, all_57_11, all_57_12, all_57_13, all_57_14, all_57_15 gives:
% 182.83/27.51  |   (237)  ((all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 182.83/27.51  |              op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 182.83/27.51  |              $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 182.83/27.51  |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 182.83/27.51  |              ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 182.83/27.51  |                  op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 182.83/27.51  |              all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 182.83/27.51  |                e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 182.83/27.51  |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 182.83/27.51  |                  op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 182.83/27.51  |                  op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 182.83/27.51  |                  all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 182.83/27.51  |              all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 182.83/27.51  |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 &
% 182.83/27.51  |                  op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 182.83/27.51  |                  all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 182.83/27.51  |                  e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 182.83/27.51  |                  $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14
% 182.83/27.51  |              = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1
% 182.83/27.51  |              & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 182.83/27.51  |                  = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 182.83/27.51  |                  $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 182.83/27.51  |                  (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 182.83/27.51  |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 182.83/27.51  |              op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 182.83/27.51  |              $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 182.83/27.51  |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 182.83/27.51  |              ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 182.83/27.51  |                  op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 182.83/27.51  |              all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 182.83/27.51  |                e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 182.83/27.51  |              ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 182.83/27.51  |                  op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 182.83/27.51  |                  op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 182.83/27.51  |                  all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 182.83/27.51  |              all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 182.83/27.51  |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 &
% 182.83/27.51  |                  op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 182.83/27.51  |                  all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) =
% 182.83/27.51  |                  e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 182.83/27.51  |                  $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14
% 182.83/27.51  |              = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1
% 182.83/27.51  |              & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3)
% 182.83/27.51  |                  = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 182.83/27.51  |                  $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 182.83/27.51  |                  (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 182.83/27.51  |            (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 182.83/27.51  |              & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 182.83/27.51  |              $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 182.83/27.51  |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 182.83/27.51  |              ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 182.83/27.51  |                  op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 182.83/27.51  |              all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 182.83/27.51  |                e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 182.83/27.51  |              ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 182.83/27.51  |                  op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 182.83/27.51  |                  op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 182.83/27.51  |                  all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1
% 182.83/27.51  |              & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1)
% 182.83/27.51  |              = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0
% 182.83/27.51  |                  & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 182.83/27.51  |                  all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) =
% 182.83/27.51  |                  e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 182.83/27.51  |                  $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 182.83/27.51  |              all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 182.83/27.51  |              op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 =
% 182.83/27.51  |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 182.83/27.51  |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 182.83/27.51  |                  e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 182.83/27.51  |                  $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3) = e3 &
% 182.83/27.51  |              ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 182.83/27.51  |                  op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 182.83/27.51  |                  op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 182.83/27.51  |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 182.83/27.52  |                  e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 182.83/27.52  |                  $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 182.83/27.52  |              ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 182.83/27.52  |                  op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 182.83/27.52  |                  op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 182.83/27.52  |                  all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 182.83/27.52  |                  e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 182.83/27.52  |                  $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 182.83/27.52  |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 182.83/27.52  |                  op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 182.83/27.52  |                  op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 182.83/27.52  |                  all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 182.83/27.52  |                  e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 182.83/27.52  |                  $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 182.83/27.52  |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 182.83/27.52  |                  op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 182.83/27.52  |                  op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 182.83/27.52  |                  all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 182.83/27.52  |                  e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 182.83/27.52  |                  $i(all_57_13))))) & ((all_57_0 = e2 & all_57_14 = e3 &  ~
% 182.83/27.52  |              (all_57_1 = e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2,
% 182.83/27.52  |                e2) = all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 182.83/27.52  |              $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &
% 182.83/27.52  |               ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.52  |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3
% 182.83/27.52  |              & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 182.83/27.52  |              &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 182.83/27.52  |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 182.83/27.52  |              all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 182.83/27.52  |              all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 182.83/27.52  |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 182.83/27.52  |              & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) | (all_57_3 =
% 182.83/27.52  |              e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 = e2) &
% 182.83/27.52  |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4
% 182.83/27.52  |              & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3 =
% 182.83/27.52  |              e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 182.83/27.52  |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5
% 182.83/27.52  |              & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 =
% 182.83/27.52  |              e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 182.83/27.52  |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 182.83/27.52  |              op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 182.83/27.52  |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 182.83/27.52  |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.52  |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 182.83/27.52  |              $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 182.83/27.52  |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1)
% 182.83/27.52  |              = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 182.83/27.52  |              $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 182.83/27.52  |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1)
% 182.83/27.52  |              = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 182.83/27.52  |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 182.83/27.52  |                e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 182.83/27.52  |              all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 182.83/27.52  |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &
% 182.83/27.52  |               ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 182.83/27.52  |              & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 182.83/27.52  |              $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &
% 182.83/27.52  |               ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 182.83/27.52  |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 182.83/27.52  |              all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 182.83/27.52  |              all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 182.83/27.52  |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 182.83/27.52  |              op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)) |
% 182.83/27.52  |            (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 182.83/27.52  |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 182.83/27.52  |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 182.83/27.52  |              $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 182.83/27.52  |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 182.83/27.52  |              all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 182.83/27.52  |              $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 182.83/27.52  |              &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 182.83/27.52  |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 182.83/27.52  |              all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 182.83/27.52  |              all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 182.83/27.52  |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 182.83/27.52  |              & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0)
% 182.83/27.52  |              = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 & 
% 182.83/27.52  |                  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 182.83/27.52  |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0))
% 182.83/27.52  |                | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 182.83/27.52  |                  (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 182.83/27.52  |                  op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 182.83/27.52  |                  = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3)
% 182.83/27.52  |                  = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 182.83/27.52  |                  $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 182.83/27.52  |                  (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 182.83/27.52  |                  & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 182.83/27.52  |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 182.83/27.52  |                  (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 182.83/27.52  |                  op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 182.83/27.52  |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2)
% 182.83/27.52  |                  = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 182.83/27.52  |                  $i(all_57_7)))))
% 182.83/27.52  | 
% 182.83/27.52  | ALPHA: (237) implies:
% 182.83/27.52  |   (238)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 182.83/27.52  |              = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 182.83/27.52  |            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 182.83/27.52  |          (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 182.83/27.52  |              = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 182.83/27.52  |            all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 182.83/27.52  |          (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 182.83/27.52  |              = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1
% 182.83/27.52  |            & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 182.83/27.52  |          (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 182.83/27.52  |              = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 182.83/27.52  |            all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 182.83/27.52  |          (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 182.83/27.52  |              = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 182.83/27.52  |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 182.83/27.52  |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 182.83/27.52  |              = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 182.83/27.52  |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 182.83/27.52  |          (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 182.83/27.52  |              = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 182.83/27.52  |            & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 182.83/27.52  |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 182.83/27.52  |              = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 182.83/27.52  |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 182.83/27.52  |          (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 182.83/27.52  |              = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 182.83/27.52  |            e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)) |
% 182.83/27.52  |          (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 182.83/27.52  |              = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 182.83/27.52  |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 182.83/27.52  |          (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 182.83/27.52  |              = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 182.83/27.52  |            all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 182.83/27.52  |          (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 182.83/27.52  |              = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 182.83/27.52  |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 182.83/27.52  |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 182.83/27.52  |              = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 182.83/27.52  |            e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 182.83/27.52  |          (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 182.83/27.52  |              = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 182.83/27.52  |            e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)) |
% 182.83/27.52  |          (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 182.83/27.52  |              = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 182.83/27.52  |            all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 182.83/27.52  |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 182.83/27.52  |              = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 182.83/27.52  |            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 182.83/27.52  |          (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 182.83/27.52  |            (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 182.83/27.52  |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 182.83/27.52  |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 182.83/27.52  |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 182.83/27.52  |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 182.83/27.52  |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 182.83/27.52  |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 182.83/27.52  |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 182.83/27.52  |                  e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 182.83/27.52  |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 182.83/27.52  |                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 182.83/27.52  |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 182.83/27.52  |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 182.83/27.52  |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 182.83/27.52  |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 182.83/27.52  |                op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 182.83/27.52  |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 182.83/27.52  |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 182.83/27.52  |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 182.83/27.52  |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 182.83/27.52  |                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 182.83/27.52  |                $i(all_57_7))))
% 182.83/27.53  |   (239)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 182.83/27.53  |            op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 182.83/27.53  |            $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 182.83/27.53  |                  = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15
% 182.83/27.53  |                = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 182.83/27.53  |                all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 &
% 182.83/27.53  |            all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 182.83/27.53  |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 = e3 &
% 182.83/27.53  |                op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 182.83/27.53  |                & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 182.83/27.53  |                (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 182.83/27.53  |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 182.83/27.53  |            op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 182.83/27.53  |            $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 182.83/27.53  |                  = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15
% 182.83/27.53  |                = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 182.83/27.53  |                all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 &
% 182.83/27.53  |            all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 182.83/27.53  |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 182.83/27.53  |                op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 182.83/27.53  |                & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 182.83/27.53  |                (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 182.83/27.53  |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 182.83/27.53  |            op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 182.83/27.53  |            $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 182.83/27.53  |                (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 182.83/27.53  |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 182.83/27.53  |                  e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 182.83/27.53  |            all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 182.83/27.53  |              e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 182.83/27.53  |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 182.83/27.53  |                  e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 182.83/27.53  |                  e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 182.83/27.53  |                $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 =
% 182.83/27.53  |            e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 182.83/27.53  |              e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 182.83/27.53  |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 182.83/27.53  |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 182.83/27.53  |                (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 182.83/27.53  |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 182.83/27.53  |            all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 182.83/27.53  |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 182.83/27.53  |                  = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15
% 182.83/27.53  |                = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 182.83/27.53  |                all_57_5 & $i(all_57_5)))) | (all_57_5 = e2 & all_57_11 = e2 &
% 182.83/27.53  |            all_57_12 = e0 & op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 182.83/27.53  |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 182.83/27.53  |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9
% 182.83/27.53  |                & $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 182.83/27.53  |                (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 182.83/27.53  |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 182.83/27.53  |            all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 182.83/27.53  |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 182.83/27.53  |                  = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14
% 182.83/27.53  |                = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 182.83/27.53  |                all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 182.83/27.53  |            all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 182.83/27.53  |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 182.83/27.53  |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9
% 182.83/27.53  |                & $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 182.83/27.53  |                (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 182.83/27.53  |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 182.83/27.53  |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 182.83/27.53  |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 182.83/27.53  |                  = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12
% 182.83/27.53  |                = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 182.83/27.53  |                all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3) = e3
% 182.83/27.53  |            & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 182.83/27.53  |                op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 182.83/27.53  |                op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 182.83/27.53  |                & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 182.83/27.53  |                (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 182.83/27.53  |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 182.83/27.53  |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 182.83/27.53  |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 182.83/27.53  |                (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 182.83/27.53  |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 182.83/27.53  |                  e2) = all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1,
% 182.83/27.53  |              e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 182.83/27.53  |                  e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 182.83/27.53  |                e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 182.83/27.53  |                all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1)
% 182.83/27.53  |              | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 182.83/27.53  |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 182.83/27.53  |                e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 182.83/27.53  |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 182.83/27.53  |                (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 182.83/27.53  |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 182.83/27.53  |                  e0) = all_57_13 & $i(all_57_13))))
% 182.83/27.53  | 
% 182.83/27.53  | GROUND_INST: instantiating (function-axioms) with all_18_2, all_28_2, e0, e0,
% 182.83/27.53  |              simplifying with (57), (72) gives:
% 182.83/27.53  |   (240)  all_28_2 = all_18_2
% 182.83/27.53  | 
% 182.83/27.53  | GROUND_INST: instantiating (function-axioms) with all_16_2, all_28_2, e0, e0,
% 182.83/27.53  |              simplifying with (54), (72) gives:
% 182.83/27.53  |   (241)  all_28_2 = all_16_2
% 182.83/27.53  | 
% 182.83/27.53  | GROUND_INST: instantiating (function-axioms) with all_18_2, all_48_2, e0, e0,
% 182.83/27.53  |              simplifying with (57), (102) gives:
% 182.83/27.53  |   (242)  all_48_2 = all_18_2
% 182.83/27.53  | 
% 182.83/27.53  | GROUND_INST: instantiating (function-axioms) with all_50_2, all_52_15, e0, e0,
% 182.83/27.53  |              simplifying with (105), (156) gives:
% 182.83/27.54  |   (243)  all_52_15 = all_50_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_48_2, all_52_15, e0, e0,
% 182.83/27.54  |              simplifying with (102), (156) gives:
% 182.83/27.54  |   (244)  all_52_15 = all_48_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 182.83/27.54  |              e0, simplifying with (156), (173) gives:
% 182.83/27.54  |   (245)  all_54_15 = all_52_15
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_14_2, all_54_15, e0, e0,
% 182.83/27.54  |              simplifying with (51), (173) gives:
% 182.83/27.54  |   (246)  all_54_15 = all_14_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 182.83/27.54  |              e0, simplifying with (157), (174) gives:
% 182.83/27.54  |   (247)  all_54_14 = all_52_11
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 182.83/27.54  |              simplifying with (158), (175) gives:
% 182.83/27.54  |   (248)  all_54_13 = all_52_7
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 182.83/27.54  |              simplifying with (159), (176) gives:
% 182.83/27.54  |   (249)  all_54_12 = all_52_3
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 182.83/27.54  |              e1, simplifying with (160), (177) gives:
% 182.83/27.54  |   (250)  all_54_11 = all_52_14
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_10_2, all_22_2, e1, e1,
% 182.83/27.54  |              simplifying with (45), (63) gives:
% 182.83/27.54  |   (251)  all_22_2 = all_10_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_38_2, all_52_10, e1, e1,
% 182.83/27.54  |              simplifying with (87), (161) gives:
% 182.83/27.54  |   (252)  all_52_10 = all_38_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_30_2, all_52_10, e1, e1,
% 182.83/27.54  |              simplifying with (75), (161) gives:
% 182.83/27.54  |   (253)  all_52_10 = all_30_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_22_2, all_52_10, e1, e1,
% 182.83/27.54  |              simplifying with (63), (161) gives:
% 182.83/27.54  |   (254)  all_52_10 = all_22_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_10, all_54_10, e1,
% 182.83/27.54  |              e1, simplifying with (161), (178) gives:
% 182.83/27.54  |   (255)  all_54_10 = all_52_10
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_34_2, all_54_10, e1, e1,
% 182.83/27.54  |              simplifying with (81), (178) gives:
% 182.83/27.54  |   (256)  all_54_10 = all_34_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_20_2, all_54_10, e1, e1,
% 182.83/27.54  |              simplifying with (60), (178) gives:
% 182.83/27.54  |   (257)  all_54_10 = all_20_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 182.83/27.54  |              simplifying with (162), (179) gives:
% 182.83/27.54  |   (258)  all_54_9 = all_52_6
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 182.83/27.54  |              simplifying with (163), (180) gives:
% 182.83/27.54  |   (259)  all_54_8 = all_52_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 182.83/27.54  |              simplifying with (164), (181) gives:
% 182.83/27.54  |   (260)  all_54_7 = all_52_13
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 182.83/27.54  |              simplifying with (165), (182) gives:
% 182.83/27.54  |   (261)  all_54_6 = all_52_9
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_24_2, all_32_2, e2, e2,
% 182.83/27.54  |              simplifying with (66), (78) gives:
% 182.83/27.54  |   (262)  all_32_2 = all_24_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_32_2, all_36_2, e2, e2,
% 182.83/27.54  |              simplifying with (78), (84) gives:
% 182.83/27.54  |   (263)  all_36_2 = all_32_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_36_2, all_40_2, e2, e2,
% 182.83/27.54  |              simplifying with (84), (90) gives:
% 182.83/27.54  |   (264)  all_40_2 = all_36_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_44_2, all_52_5, e2, e2,
% 182.83/27.54  |              simplifying with (96), (166) gives:
% 182.83/27.54  |   (265)  all_52_5 = all_44_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_40_2, all_52_5, e2, e2,
% 182.83/27.54  |              simplifying with (90), (166) gives:
% 182.83/27.54  |   (266)  all_52_5 = all_40_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_5, all_54_5, e2, e2,
% 182.83/27.54  |              simplifying with (166), (183) gives:
% 182.83/27.54  |   (267)  all_54_5 = all_52_5
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_4_2, all_54_5, e2, e2,
% 182.83/27.54  |              simplifying with (36), (183) gives:
% 182.83/27.54  |   (268)  all_54_5 = all_4_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 182.83/27.54  |              simplifying with (167), (184) gives:
% 182.83/27.54  |   (269)  all_54_4 = all_52_1
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 182.83/27.54  |              simplifying with (168), (185) gives:
% 182.83/27.54  |   (270)  all_54_3 = all_52_12
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 182.83/27.54  |              simplifying with (169), (186) gives:
% 182.83/27.54  |   (271)  all_54_2 = all_52_8
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 182.83/27.54  |              simplifying with (170), (187) gives:
% 182.83/27.54  |   (272)  all_54_1 = all_52_4
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_26_2, all_42_2, e3, e3,
% 182.83/27.54  |              simplifying with (69), (93) gives:
% 182.83/27.54  |   (273)  all_42_2 = all_26_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_12_2, all_42_2, e3, e3,
% 182.83/27.54  |              simplifying with (48), (93) gives:
% 182.83/27.54  |   (274)  all_42_2 = all_12_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_42_2, all_46_2, e3, e3,
% 182.83/27.54  |              simplifying with (93), (99) gives:
% 182.83/27.54  |   (275)  all_46_2 = all_42_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_12_2, all_52_0, e3, e3,
% 182.83/27.54  |              simplifying with (48), (171) gives:
% 182.83/27.54  |   (276)  all_52_0 = all_12_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_8_2, all_52_0, e3, e3,
% 182.83/27.54  |              simplifying with (42), (171) gives:
% 182.83/27.54  |   (277)  all_52_0 = all_8_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_46_2, all_54_0, e3, e3,
% 182.83/27.54  |              simplifying with (99), (188) gives:
% 182.83/27.54  |   (278)  all_54_0 = all_46_2
% 182.83/27.54  | 
% 182.83/27.54  | GROUND_INST: instantiating (function-axioms) with all_6_2, all_54_0, e3, e3,
% 182.83/27.54  |              simplifying with (39), (188) gives:
% 182.83/27.54  |   (279)  all_54_0 = all_6_2
% 182.83/27.54  | 
% 182.83/27.54  | COMBINE_EQS: (278), (279) imply:
% 182.83/27.54  |   (280)  all_46_2 = all_6_2
% 182.83/27.54  | 
% 182.83/27.54  | SIMP: (280) implies:
% 182.83/27.54  |   (281)  all_46_2 = all_6_2
% 182.83/27.54  | 
% 182.83/27.54  | COMBINE_EQS: (267), (268) imply:
% 182.83/27.54  |   (282)  all_52_5 = all_4_2
% 182.83/27.54  | 
% 182.83/27.54  | SIMP: (282) implies:
% 182.83/27.54  |   (283)  all_52_5 = all_4_2
% 182.83/27.54  | 
% 182.83/27.54  | COMBINE_EQS: (256), (257) imply:
% 182.83/27.54  |   (284)  all_34_2 = all_20_2
% 182.83/27.54  | 
% 182.83/27.54  | COMBINE_EQS: (255), (256) imply:
% 182.83/27.54  |   (285)  all_52_10 = all_34_2
% 182.83/27.54  | 
% 182.83/27.54  | SIMP: (285) implies:
% 182.83/27.54  |   (286)  all_52_10 = all_34_2
% 182.83/27.54  | 
% 182.83/27.54  | COMBINE_EQS: (245), (246) imply:
% 182.83/27.54  |   (287)  all_52_15 = all_14_2
% 182.83/27.54  | 
% 182.83/27.54  | SIMP: (287) implies:
% 182.83/27.54  |   (288)  all_52_15 = all_14_2
% 182.83/27.54  | 
% 182.83/27.54  | COMBINE_EQS: (276), (277) imply:
% 182.83/27.54  |   (289)  all_12_2 = all_8_2
% 182.83/27.54  | 
% 182.83/27.54  | SIMP: (289) implies:
% 182.83/27.54  |   (290)  all_12_2 = all_8_2
% 182.83/27.54  | 
% 182.83/27.54  | COMBINE_EQS: (265), (266) imply:
% 182.83/27.54  |   (291)  all_44_2 = all_40_2
% 182.83/27.54  | 
% 182.83/27.54  | COMBINE_EQS: (265), (283) imply:
% 182.83/27.55  |   (292)  all_44_2 = all_4_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (252), (253) imply:
% 182.83/27.55  |   (293)  all_38_2 = all_30_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (252), (254) imply:
% 182.83/27.55  |   (294)  all_38_2 = all_22_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (252), (286) imply:
% 182.83/27.55  |   (295)  all_38_2 = all_34_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (243), (244) imply:
% 182.83/27.55  |   (296)  all_50_2 = all_48_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (243), (288) imply:
% 182.83/27.55  |   (297)  all_50_2 = all_14_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (296), (297) imply:
% 182.83/27.55  |   (298)  all_48_2 = all_14_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (298) implies:
% 182.83/27.55  |   (299)  all_48_2 = all_14_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (242), (299) imply:
% 182.83/27.55  |   (300)  all_18_2 = all_14_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (300) implies:
% 182.83/27.55  |   (301)  all_18_2 = all_14_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (275), (281) imply:
% 182.83/27.55  |   (302)  all_42_2 = all_6_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (302) implies:
% 182.83/27.55  |   (303)  all_42_2 = all_6_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (291), (292) imply:
% 182.83/27.55  |   (304)  all_40_2 = all_4_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (304) implies:
% 182.83/27.55  |   (305)  all_40_2 = all_4_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (273), (274) imply:
% 182.83/27.55  |   (306)  all_26_2 = all_12_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (273), (303) imply:
% 182.83/27.55  |   (307)  all_26_2 = all_6_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (264), (305) imply:
% 182.83/27.55  |   (308)  all_36_2 = all_4_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (308) implies:
% 182.83/27.55  |   (309)  all_36_2 = all_4_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (293), (294) imply:
% 182.83/27.55  |   (310)  all_30_2 = all_22_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (293), (295) imply:
% 182.83/27.55  |   (311)  all_34_2 = all_30_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (311) implies:
% 182.83/27.55  |   (312)  all_34_2 = all_30_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (263), (309) imply:
% 182.83/27.55  |   (313)  all_32_2 = all_4_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (313) implies:
% 182.83/27.55  |   (314)  all_32_2 = all_4_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (284), (312) imply:
% 182.83/27.55  |   (315)  all_30_2 = all_20_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (315) implies:
% 182.83/27.55  |   (316)  all_30_2 = all_20_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (262), (314) imply:
% 182.83/27.55  |   (317)  all_24_2 = all_4_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (317) implies:
% 182.83/27.55  |   (318)  all_24_2 = all_4_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (310), (316) imply:
% 182.83/27.55  |   (319)  all_22_2 = all_20_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (319) implies:
% 182.83/27.55  |   (320)  all_22_2 = all_20_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (240), (241) imply:
% 182.83/27.55  |   (321)  all_18_2 = all_16_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (321) implies:
% 182.83/27.55  |   (322)  all_18_2 = all_16_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (306), (307) imply:
% 182.83/27.55  |   (323)  all_12_2 = all_6_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (323) implies:
% 182.83/27.55  |   (324)  all_12_2 = all_6_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (251), (320) imply:
% 182.83/27.55  |   (325)  all_20_2 = all_10_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (301), (322) imply:
% 182.83/27.55  |   (326)  all_16_2 = all_14_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (326) implies:
% 182.83/27.55  |   (327)  all_16_2 = all_14_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (290), (324) imply:
% 182.83/27.55  |   (328)  all_8_2 = all_6_2
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (328) implies:
% 182.83/27.55  |   (329)  all_8_2 = all_6_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (241), (327) imply:
% 182.83/27.55  |   (330)  all_28_2 = all_14_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (316), (325) imply:
% 182.83/27.55  |   (331)  all_30_2 = all_10_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (284), (325) imply:
% 182.83/27.55  |   (332)  all_34_2 = all_10_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (293), (331) imply:
% 182.83/27.55  |   (333)  all_38_2 = all_10_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (252), (333) imply:
% 182.83/27.55  |   (334)  all_52_10 = all_10_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (277), (329) imply:
% 182.83/27.55  |   (335)  all_52_0 = all_6_2
% 182.83/27.55  | 
% 182.83/27.55  | COMBINE_EQS: (256), (332) imply:
% 182.83/27.55  |   (336)  all_54_10 = all_10_2
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (155), (335) imply:
% 182.83/27.55  |   (337)   ~ (all_52_1 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (337) implies:
% 182.83/27.55  |   (338)   ~ (all_52_1 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (154), (335) imply:
% 182.83/27.55  |   (339)   ~ (all_52_2 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (339) implies:
% 182.83/27.55  |   (340)   ~ (all_52_2 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (153), (335) imply:
% 182.83/27.55  |   (341)   ~ (all_52_3 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (341) implies:
% 182.83/27.55  |   (342)   ~ (all_52_3 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (152), (335) imply:
% 182.83/27.55  |   (343)   ~ (all_52_4 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (343) implies:
% 182.83/27.55  |   (344)   ~ (all_52_4 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (151), (335) imply:
% 182.83/27.55  |   (345)   ~ (all_52_8 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (345) implies:
% 182.83/27.55  |   (346)   ~ (all_52_8 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (150), (335) imply:
% 182.83/27.55  |   (347)   ~ (all_52_12 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (347) implies:
% 182.83/27.55  |   (348)   ~ (all_52_12 = all_6_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (147), (283) imply:
% 182.83/27.55  |   (349)   ~ (all_52_1 = all_4_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (142), (334) imply:
% 182.83/27.55  |   (350)   ~ (all_52_2 = all_10_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (138), (288) imply:
% 182.83/27.55  |   (351)   ~ (all_52_3 = all_14_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (137), (283) imply:
% 182.83/27.55  |   (352)   ~ (all_52_4 = all_4_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (132), (283) imply:
% 182.83/27.55  |   (353)   ~ (all_52_6 = all_4_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (353) implies:
% 182.83/27.55  |   (354)   ~ (all_52_6 = all_4_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (131), (283) imply:
% 182.83/27.55  |   (355)   ~ (all_52_7 = all_4_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (355) implies:
% 182.83/27.55  |   (356)   ~ (all_52_7 = all_4_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (130), (283) imply:
% 182.83/27.55  |   (357)   ~ (all_52_9 = all_4_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (357) implies:
% 182.83/27.55  |   (358)   ~ (all_52_9 = all_4_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (129), (283) imply:
% 182.83/27.55  |   (359)   ~ (all_52_13 = all_4_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (359) implies:
% 182.83/27.55  |   (360)   ~ (all_52_13 = all_4_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (127), (334) imply:
% 182.83/27.55  |   (361)   ~ (all_52_6 = all_10_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (124), (288) imply:
% 182.83/27.55  |   (362)   ~ (all_52_7 = all_14_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (122), (334) imply:
% 182.83/27.55  |   (363)   ~ (all_52_8 = all_10_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (119), (334) imply:
% 182.83/27.55  |   (364)   ~ (all_52_9 = all_10_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (116), (334) imply:
% 182.83/27.55  |   (365)   ~ (all_52_11 = all_10_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (365) implies:
% 182.83/27.55  |   (366)   ~ (all_52_11 = all_10_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (115), (334) imply:
% 182.83/27.55  |   (367)   ~ (all_52_14 = all_10_2)
% 182.83/27.55  | 
% 182.83/27.55  | SIMP: (367) implies:
% 182.83/27.55  |   (368)   ~ (all_52_14 = all_10_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (114), (288) imply:
% 182.83/27.55  |   (369)   ~ (all_52_11 = all_14_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (111), (288) imply:
% 182.83/27.55  |   (370)   ~ (all_52_12 = all_14_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (109), (288) imply:
% 182.83/27.55  |   (371)   ~ (all_52_13 = all_14_2)
% 182.83/27.55  | 
% 182.83/27.55  | REDUCE: (108), (288) imply:
% 182.83/27.55  |   (372)   ~ (all_52_14 = all_14_2)
% 182.83/27.55  | 
% 182.83/27.55  | BETA: splitting (37) gives:
% 182.83/27.55  | 
% 182.83/27.56  | Case 1:
% 182.83/27.56  | | 
% 182.83/27.56  | |   (373)   ~ (all_4_2 = e3)
% 182.83/27.56  | | 
% 182.83/27.56  | | BETA: splitting (40) gives:
% 182.83/27.56  | | 
% 182.83/27.56  | | Case 1:
% 182.83/27.56  | | | 
% 182.83/27.56  | | |   (374)   ~ (all_6_2 = e0)
% 182.83/27.56  | | | 
% 182.83/27.56  | | | BETA: splitting (46) gives:
% 182.83/27.56  | | | 
% 182.83/27.56  | | | Case 1:
% 182.83/27.56  | | | | 
% 182.83/27.56  | | | |   (375)   ~ (all_10_2 = e2)
% 182.83/27.56  | | | | 
% 182.83/27.56  | | | | BETA: splitting (49) gives:
% 182.83/27.56  | | | | 
% 182.83/27.56  | | | | Case 1:
% 182.83/27.56  | | | | | 
% 182.83/27.56  | | | | |   (376)   ~ (all_12_2 = e2)
% 182.83/27.56  | | | | | 
% 182.83/27.56  | | | | | REDUCE: (324), (376) imply:
% 182.83/27.56  | | | | |   (377)   ~ (all_6_2 = e2)
% 182.83/27.56  | | | | | 
% 182.83/27.56  | | | | | BETA: splitting (52) gives:
% 182.83/27.56  | | | | | 
% 182.83/27.56  | | | | | Case 1:
% 182.83/27.56  | | | | | | 
% 182.83/27.56  | | | | | |   (378)   ~ (all_14_2 = e1)
% 182.83/27.56  | | | | | | 
% 182.83/27.56  | | | | | | BETA: splitting (58) gives:
% 182.83/27.56  | | | | | | 
% 182.83/27.56  | | | | | | Case 1:
% 182.83/27.56  | | | | | | | 
% 182.83/27.56  | | | | | | |   (379)   ~ (all_18_2 = e3)
% 182.83/27.56  | | | | | | | 
% 182.83/27.56  | | | | | | | REDUCE: (301), (379) imply:
% 182.83/27.56  | | | | | | |   (380)   ~ (all_14_2 = e3)
% 182.83/27.56  | | | | | | | 
% 182.83/27.56  | | | | | | | BETA: splitting (61) gives:
% 182.83/27.56  | | | | | | | 
% 182.83/27.56  | | | | | | | Case 1:
% 182.83/27.56  | | | | | | | | 
% 182.83/27.56  | | | | | | | |   (381)   ~ (all_20_2 = e3)
% 182.83/27.56  | | | | | | | | 
% 182.83/27.56  | | | | | | | | REDUCE: (325), (381) imply:
% 182.83/27.56  | | | | | | | |   (382)   ~ (all_10_2 = e3)
% 182.83/27.56  | | | | | | | | 
% 182.83/27.56  | | | | | | | | BETA: splitting (64) gives:
% 182.83/27.56  | | | | | | | | 
% 182.83/27.56  | | | | | | | | Case 1:
% 182.83/27.56  | | | | | | | | | 
% 182.83/27.56  | | | | | | | | |   (383)   ~ (all_22_2 = e0)
% 182.83/27.56  | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | REDUCE: (251), (383) imply:
% 182.83/27.56  | | | | | | | | |   (384)   ~ (all_10_2 = e0)
% 182.83/27.56  | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | BETA: splitting (194) gives:
% 182.83/27.56  | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | Case 1:
% 182.83/27.56  | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | |   (385)  all_54_10 = e3
% 182.83/27.56  | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | COMBINE_EQS: (336), (385) imply:
% 182.83/27.56  | | | | | | | | | |   (386)  all_10_2 = e3
% 182.83/27.56  | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | REDUCE: (382), (386) imply:
% 182.83/27.56  | | | | | | | | | |   (387)  $false
% 182.83/27.56  | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | CLOSE: (387) is inconsistent.
% 182.83/27.56  | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | Case 2:
% 182.83/27.56  | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | |   (388)   ~ (all_54_10 = e3)
% 182.83/27.56  | | | | | | | | | |   (389)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 182.83/27.56  | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | BETA: splitting (389) gives:
% 182.83/27.56  | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | Case 1:
% 182.83/27.56  | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | |   (390)  all_54_10 = e2
% 182.83/27.56  | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | COMBINE_EQS: (336), (390) imply:
% 182.83/27.56  | | | | | | | | | | |   (391)  all_10_2 = e2
% 182.83/27.56  | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | REDUCE: (375), (391) imply:
% 182.83/27.56  | | | | | | | | | | |   (392)  $false
% 182.83/27.56  | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | CLOSE: (392) is inconsistent.
% 182.83/27.56  | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | Case 2:
% 182.83/27.56  | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | |   (393)   ~ (all_54_10 = e2)
% 182.83/27.56  | | | | | | | | | | |   (394)  all_54_10 = e1 | all_54_10 = e0
% 182.83/27.56  | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | BETA: splitting (394) gives:
% 182.83/27.56  | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | Case 1:
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | |   (395)  all_54_10 = e1
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | COMBINE_EQS: (336), (395) imply:
% 182.83/27.56  | | | | | | | | | | | |   (396)  all_10_2 = e1
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | REDUCE: (350), (396) imply:
% 182.83/27.56  | | | | | | | | | | | |   (397)   ~ (all_52_2 = e1)
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | REDUCE: (361), (396) imply:
% 182.83/27.56  | | | | | | | | | | | |   (398)   ~ (all_52_6 = e1)
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | REDUCE: (366), (396) imply:
% 182.83/27.56  | | | | | | | | | | | |   (399)   ~ (all_52_11 = e1)
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | REDUCE: (368), (396) imply:
% 182.83/27.56  | | | | | | | | | | | |   (400)   ~ (all_52_14 = e1)
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | REDUCE: (382), (396) imply:
% 182.83/27.56  | | | | | | | | | | | |   (401)   ~ (e3 = e1)
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | REDUCE: (375), (396) imply:
% 182.83/27.56  | | | | | | | | | | | |   (402)   ~ (e2 = e1)
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | REDUCE: (45), (396) imply:
% 182.83/27.56  | | | | | | | | | | | |   (403)  op(e1, e1) = e1
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | BETA: splitting (67) gives:
% 182.83/27.56  | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | Case 1:
% 182.83/27.56  | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | |   (404)   ~ (all_24_2 = e1)
% 182.83/27.56  | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | REDUCE: (318), (404) imply:
% 182.83/27.56  | | | | | | | | | | | | |   (405)   ~ (all_4_2 = e1)
% 182.83/27.56  | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | BETA: splitting (70) gives:
% 182.83/27.56  | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | Case 1:
% 182.83/27.56  | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | |   (406)   ~ (all_26_2 = e1)
% 182.83/27.56  | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | | REDUCE: (307), (406) imply:
% 182.83/27.56  | | | | | | | | | | | | | |   (407)   ~ (all_6_2 = e1)
% 182.83/27.56  | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 182.83/27.56  | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | | Case 1:
% 182.83/27.56  | | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | | |   (408)  all_54_0 = e3
% 182.83/27.56  | | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | | | COMBINE_EQS: (279), (408) imply:
% 182.83/27.56  | | | | | | | | | | | | | | |   (409)  all_6_2 = e3
% 182.83/27.56  | | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | | | REDUCE: (344), (409) imply:
% 182.83/27.56  | | | | | | | | | | | | | | |   (410)   ~ (all_52_4 = e3)
% 182.83/27.56  | | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | | | REDUCE: (348), (409) imply:
% 182.83/27.56  | | | | | | | | | | | | | | |   (411)   ~ (all_52_12 = e3)
% 182.83/27.56  | | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | | | REDUCE: (39), (409) imply:
% 182.83/27.56  | | | | | | | | | | | | | | |   (412)  op(e3, e3) = e3
% 182.83/27.56  | | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 182.83/27.56  | | | | | | | | | | | | | | | 
% 182.83/27.56  | | | | | | | | | | | | | | | Case 1:
% 182.83/27.56  | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | |   (413)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 182.83/27.57  | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 182.83/27.57  | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 182.83/27.57  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 182.83/27.57  | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 182.83/27.57  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 182.83/27.57  | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 182.83/27.57  | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 182.83/27.57  | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 182.83/27.57  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 182.83/27.57  | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 182.83/27.57  | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 182.83/27.57  | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 182.83/27.57  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 182.83/27.57  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 182.83/27.57  | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 182.83/27.57  | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 182.83/27.57  | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 182.83/27.57  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 182.83/27.57  | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 182.83/27.57  | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 182.83/27.57  | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 182.83/27.57  | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 182.83/27.57  | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 182.83/27.57  | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 182.83/27.57  | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 182.83/27.57  | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 182.83/27.57  | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | BETA: splitting (413) gives:
% 182.83/27.57  | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | Case 1:
% 182.83/27.57  | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | |   (414)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 182.83/27.57  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 182.83/27.57  | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 182.83/27.57  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 182.83/27.57  | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 182.83/27.57  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 182.83/27.57  | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 182.83/27.57  | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 182.83/27.57  | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | BETA: splitting (414) gives:
% 182.83/27.57  | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | Case 1:
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | |   (415)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 182.83/27.57  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 182.83/27.57  | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 182.83/27.57  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (380), (403), (415), (function-axioms)
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1976.
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | Case 2:
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | |   (416)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 182.83/27.57  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (397), (416),
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            #1973.
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | End of split
% 182.83/27.57  | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | Case 2:
% 182.83/27.57  | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | |   (417)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 182.83/27.57  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 182.83/27.57  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 182.83/27.57  | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 182.83/27.57  | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 182.83/27.57  | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 182.83/27.57  | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 182.83/27.57  | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 182.83/27.57  | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 182.83/27.57  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 182.83/27.57  | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 182.83/27.57  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 182.83/27.57  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 182.83/27.57  | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 182.83/27.57  | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | BETA: splitting (417) gives:
% 182.83/27.57  | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | Case 1:
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | |   (418)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 182.83/27.57  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (410), (418), (function-axioms) are
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | Case 2:
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | |   (419)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 182.83/27.57  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 182.83/27.57  | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (398), (405), (419),
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.83/27.57  | | | | | | | | | | | | | | | | | |            #1968.
% 182.83/27.57  | | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | | End of split
% 182.83/27.57  | | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | | End of split
% 182.83/27.57  | | | | | | | | | | | | | | | | 
% 182.83/27.57  | | | | | | | | | | | | | | | Case 2:
% 182.83/27.57  | | | | | | | | | | | | | | | | 
% 183.17/27.64  | | | | | | | | | | | | | | | |   (420)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.17/27.64  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.17/27.64  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.17/27.64  | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.17/27.64  | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.17/27.64  | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 183.17/27.64  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.17/27.64  | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 183.17/27.64  | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.17/27.64  | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.17/27.64  | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 183.17/27.64  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 183.17/27.64  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.17/27.64  | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.17/27.64  | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 183.17/27.64  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 183.17/27.64  | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 183.17/27.64  | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 183.17/27.64  | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 183.17/27.64  | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 183.17/27.64  | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 183.17/27.64  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 183.17/27.64  | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 183.17/27.64  | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 183.17/27.64  | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.17/27.64  | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.17/27.64  | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 183.17/27.64  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.17/27.64  | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.17/27.64  | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.17/27.64  | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 183.17/27.64  | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.17/27.64  | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.17/27.64  | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.17/27.64  | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 183.17/27.64  | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.17/27.64  | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.17/27.64  | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 183.17/27.64  | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 183.17/27.64  | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.17/27.64  | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.17/27.64  | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 183.17/27.64  | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.17/27.64  | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.17/27.64  | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 183.17/27.64  | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 183.17/27.64  | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.17/27.64  | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.17/27.64  | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 183.17/27.64  | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.17/27.64  | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.17/27.64  | | | | | | | | | | | | | | | | 
% 183.17/27.64  | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 183.17/27.64  | | | | | | | | | | | | | | | | 
% 183.17/27.64  | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.64  | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | |   (421)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.17/27.65  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.17/27.65  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.17/27.65  | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.17/27.65  | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.17/27.65  | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 183.17/27.65  | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.17/27.65  | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.17/27.65  | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 183.17/27.65  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 183.17/27.65  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.17/27.65  | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 183.17/27.65  | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (168), (378), (411), (412), (421),
% 183.17/27.65  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.17/27.65  | | | | | | | | | | | | | | | | |            #1962.
% 183.17/27.65  | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.65  | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | |   (422)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 183.17/27.65  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.17/27.65  | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 183.17/27.65  | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.17/27.65  | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.17/27.65  | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 183.17/27.65  | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 183.17/27.65  | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 183.17/27.65  | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 183.17/27.65  | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 183.17/27.65  | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 183.17/27.65  | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.17/27.65  | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 183.17/27.65  | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.17/27.65  | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 183.17/27.65  | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 183.17/27.65  | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 183.17/27.65  | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.17/27.65  | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.17/27.65  | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 183.17/27.65  | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 183.17/27.65  | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.17/27.65  | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.17/27.65  | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 183.17/27.65  | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.17/27.65  | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.17/27.65  | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 183.17/27.65  | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 183.17/27.65  | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.17/27.65  | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.17/27.65  | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 183.17/27.65  | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.17/27.65  | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.17/27.65  | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 183.17/27.65  | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.65  | | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | |   (423)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.17/27.65  | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 183.17/27.65  | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 183.17/27.65  | | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (412), (423), (function-axioms) are
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 183.17/27.65  | | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.65  | | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | |   (424)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.17/27.65  | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.17/27.65  | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.17/27.65  | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.17/27.65  | | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 183.17/27.65  | | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.65  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | | |   (425)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 183.17/27.65  | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 183.17/27.65  | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.17/27.65  | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.17/27.65  | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 183.17/27.65  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | | | ALPHA: (425) implies:
% 183.17/27.65  | | | | | | | | | | | | | | | | | | |   (426)  op(e1, e1) = e0
% 183.17/27.65  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (426), (function-axioms) are
% 183.17/27.65  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 183.17/27.65  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.65  | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.65  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |   (427)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 183.17/27.66  | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |   (428)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |   (429)  op(e1, e0) = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (400), (429), (function-axioms) are
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |   (430)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |   (431)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (39), (204), (279), (373), (374),
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            (377), (403), (405), (407), (431),
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | |            #1951.
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | End of split
% 183.17/27.66  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | End of split
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | End of split
% 183.17/27.66  | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | End of split
% 183.17/27.66  | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | End of split
% 183.17/27.66  | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | Case 2:
% 183.17/27.66  | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | |   (432)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 183.17/27.66  | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (407), (432) are inconsistent
% 183.17/27.66  | | | | | | | | | | | | | | |            by sub-proof #1952.
% 183.17/27.66  | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | End of split
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | Case 2:
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | |   (433)  all_26_2 = e1
% 183.17/27.66  | | | | | | | | | | | | | |   (434)  ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0
% 183.17/27.66  | | | | | | | | | | | | | |            & op(e3, e1) = all_26_1 & $i(all_26_0) &
% 183.17/27.66  | | | | | | | | | | | | | |            $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3, e1)
% 183.17/27.66  | | | | | | | | | | | | | |            = all_26_1 & $i(all_26_1))
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | COMBINE_EQS: (307), (433) imply:
% 183.17/27.66  | | | | | | | | | | | | | |   (435)  all_6_2 = e1
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | SIMP: (435) implies:
% 183.17/27.66  | | | | | | | | | | | | | |   (436)  all_6_2 = e1
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | COMBINE_EQS: (303), (436) imply:
% 183.17/27.66  | | | | | | | | | | | | | |   (437)  all_42_2 = e1
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | REDUCE: (342), (436) imply:
% 183.17/27.66  | | | | | | | | | | | | | |   (438)   ~ (all_52_3 = e1)
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | REDUCE: (346), (436) imply:
% 183.17/27.66  | | | | | | | | | | | | | |   (439)   ~ (all_52_8 = e1)
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | REDUCE: (348), (436) imply:
% 183.17/27.66  | | | | | | | | | | | | | |   (440)   ~ (all_52_12 = e1)
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | REDUCE: (39), (436) imply:
% 183.17/27.66  | | | | | | | | | | | | | |   (441)  op(e3, e3) = e1
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 183.17/27.66  | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | Case 1:
% 183.17/27.66  | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | |   (442)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 183.17/27.66  | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 183.17/27.66  | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 183.17/27.66  | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | Case 1:
% 183.17/27.66  | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | |   (443)  all_56_12 = e1 & op(e0, e3) = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | ALPHA: (443) implies:
% 183.17/27.66  | | | | | | | | | | | | | | | |   (444)  op(e0, e3) = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | REF_CLOSE: (159), (438), (444), (function-axioms) are
% 183.17/27.66  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 183.17/27.66  | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | Case 2:
% 183.17/27.66  | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | |   (445)  all_56_13 = e1 & op(e0, e2) = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | ALPHA: (445) implies:
% 183.17/27.66  | | | | | | | | | | | | | | | |   (446)  all_56_13 = e1
% 183.17/27.66  | | | | | | | | | | | | | | | |   (447)  op(e0, e2) = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 183.17/27.66  | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.66  | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | |   (448)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 183.17/27.66  | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 183.17/27.66  | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 183.17/27.66  | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (449)  all_56_9 = e1 & op(e3, e0) = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | ALPHA: (449) implies:
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (450)  op(e3, e0) = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (440), (450), (function-axioms) are
% 183.17/27.66  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (451)  all_56_10 = e1 & op(e2, e0) = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | ALPHA: (451) implies:
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (452)  all_56_10 = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (453)  op(e2, e0) = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 183.17/27.66  | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (447) gives:
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (454)  all_52_7 = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 183.17/27.66  | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (453) gives:
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (455)  all_52_13 = e1
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | REDUCE: (145), (455) imply:
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (456)   ~ (all_52_1 = e1)
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | REDUCE: (135), (454) imply:
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (457)   ~ (all_52_4 = e1)
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | REDUCE: (125), (454) imply:
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (458)   ~ (all_52_11 = e1)
% 183.17/27.66  | | | | | | | | | | | | | | | | | | 
% 183.17/27.66  | | | | | | | | | | | | | | | | | | REDUCE: (117), (455) imply:
% 183.17/27.66  | | | | | | | | | | | | | | | | | |   (459)   ~ (all_52_9 = e1)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (110), (455) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | |   (460)   ~ (all_52_14 = e1)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (371), (455) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | |   (461)   ~ (all_14_2 = e1)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (360), (455) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | |   (462)   ~ (all_4_2 = e1)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | |   (463)   ~ (all_28_2 = e2)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | REDUCE: (330), (463) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | |   (464)   ~ (all_14_2 = e2)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | |   (465)  all_54_15 = e3
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (465) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | |   (466)  all_14_2 = e3
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (466) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | |   (467)  $false
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | CLOSE: (467) is inconsistent.
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | |   (468)   ~ (all_54_15 = e3)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | |   (469)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | |   (470)  all_54_15 = e2
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (470) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | |   (471)  all_14_2 = e2
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | REDUCE: (464), (471) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | |   (472)  $false
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | CLOSE: (472) is inconsistent.
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | |   (473)   ~ (all_54_15 = e2)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | |   (474)  all_54_15 = e1 | all_54_15 = e0
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (475)  all_54_15 = e1
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (475) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (476)  all_14_2 = e1
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (476) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (477)  $false
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (477) is inconsistent.
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (478)  all_54_15 = e0
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (478) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (479)  all_14_2 = e0
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (479) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (480)   ~ (all_52_3 = e0)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (479) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (481)   ~ (all_52_11 = e0)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (479) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (482)   ~ (all_52_12 = e0)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (479) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (483)   ~ (all_52_14 = e0)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (479) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (484)   ~ (e3 = e0)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (464), (479) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (485)   ~ (e2 = e0)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (479) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (486)   ~ (e1 = e0)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (479) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | |   (487)  op(e0, e0) = e0
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | |   (488)   ~ (all_32_2 = e0)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (488) imply:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | |   (489)   ~ (all_4_2 = e0)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_54_5 = e3
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (490) are inconsistent by sub-proof
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | |            #1948.
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | |   (491)   ~ (all_54_5 = e3)
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | |   (492)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.17/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (493) gives:
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (36), (163), (373), (397), (403), (487),
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (494), (function-axioms) are inconsistent by
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1946.
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (403), (487), (496), (function-axioms)
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1944.
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (398), (405), (497),
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1968.
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (498) gives:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (501) implies:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  op(e0, e0) = e1
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (487), (502), (function-axioms) are
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (503) implies:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  op(e2, e1) = e2
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (405), (489), (492), (504),
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1940.
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  op(e0, e0) = e1
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (487), (507), (function-axioms) are
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (508) gives:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11)
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (509) implies:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  op(e2, e2) = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (268), (405), (489), (492), (510),
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1938.
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_10) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (511) implies:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  op(e1, e1) = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (512), (function-axioms) are
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (513) gives:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (441), (514), (function-axioms) are
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (516) implies:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  op(e1, e1) = e0
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (517), (function-axioms) are
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (519) implies:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  op(e1, e0) = e1
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (400), (520), (function-axioms) are
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (521) implies:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (159), (373), (403), (405),
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (441), (480), (481), (522), (function-axioms) are
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1930.
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | |   (523)  all_32_2 = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | |   (524)  ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e0) = all_32_1 & $i(all_32_0) &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_32_1)) | ( ~ (all_32_1 = e1) & op(e2, e0)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | |            = all_32_1 & $i(all_32_1))
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (523) imply:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_4_2 = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (525) imply:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | |   (526)  op(e2, e2) = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | |   (527)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (527) gives:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  all_56_6 = e0 & op(e1, e3) = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (528) implies:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  all_56_6 = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  op(e1, e3) = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (531) gives:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  all_56_0 = e0 & op(e3, e3) = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (532) implies:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  op(e3, e3) = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (441), (533), (function-axioms) are
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  all_56_1 = e0 & op(e3, e2) = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (534) implies:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)  all_56_1 = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (120), (168),
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (226), (227), (228), (234), (236),
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (441), (446), (457), (526), (535),
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1900.
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (536) gives:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  all_56_4 = e0 & op(e3, e1) = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (537) implies:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  all_56_4 = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  op(e3, e1) = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)   ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_32_1 & $i(all_32_0) &
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_32_1)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (540) implies:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)   ~ (all_32_0 = e3)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  op(e2, e0) = all_32_1
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  op(all_32_1, e2) = all_32_0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (530) gives:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  all_52_2 = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e2, simplifying with (453), (542) gives:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  all_32_1 = e1
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (539) gives:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)  all_52_8 = e0
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (544) imply:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)   ~ (all_52_1 = e0)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (544) imply:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)   ~ (all_52_3 = e0)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (544) imply:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)   ~ (all_52_6 = e0)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (549) implies:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)   ~ (all_52_6 = e0)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (544) imply:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)   ~ (all_52_14 = e0)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (546) imply:
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)   ~ (all_52_4 = e0)
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (546) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)   ~ (all_52_9 = e0)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (553) implies:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)   ~ (all_52_9 = e0)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (546) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)   ~ (all_52_11 = e0)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (543), (545) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  op(e1, e2) = all_32_0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (557)   ~ (all_42_2 = e1)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (437), (557) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (558)  $false
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (558) is inconsistent.
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (559)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_42_1 & $i(all_42_1))
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (560)   ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_26_1 & $i(all_26_0) &
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_1)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (560) implies:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (561)  op(e3, e1) = all_26_1
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (117), (133), (136), (146), (157),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (195), (200), (203), (218),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (222), (223), (224), (225), (227),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (232), (233), (234), (235),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (258), (269), (272), (373), (397),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (398), (399), (400), (403), (439), (441), (446),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (452), (456), (457), (459), (480), (481), (483),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (487), (526), (529), (538), (539), (541), (547),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (550), (552), (554), (556), (559), (561),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1801.
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (562)   ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 &
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_1)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (562) implies:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (563)  op(e3, e1) = all_26_1
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (117), (133), (136), (146), (157),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (195), (200), (203), (218),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (222), (223), (224), (225), (227),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (232), (233), (234), (235),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (258), (269), (272), (373), (397),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (398), (399), (400), (403), (439), (441), (446),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (452), (456), (457), (459), (480), (481), (483),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (487), (526), (529), (538), (539), (541), (547),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (550), (552), (554), (556), (559), (563),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1801.
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (564)   ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 &
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_32_1)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (564) implies:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (565)   ~ (all_32_1 = e1)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (566)  op(e2, e0) = all_32_1
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (565), (566), (function-axioms) are
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1800.
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (567)  all_56_9 = e0 & op(e3, e0) = e0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (567) implies:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (568)  op(e3, e0) = e0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (482), (568), (function-axioms) are
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (569)  all_56_7 = e0 & op(e1, e2) = e0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (569) implies:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (570)  all_56_7 = e0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (446), (526), (570), (function-axioms) are
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1796.
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | |   (571)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (571) gives:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (572)  all_56_8 = e0 & op(e1, e1) = e0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (572) implies:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (573)  op(e1, e1) = e0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (573), (function-axioms) are
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (574)  all_56_11 = e0 & op(e1, e0) = e0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (574) implies:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (575)  op(e1, e0) = e0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (483), (575), (function-axioms) are
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | |   (576)  all_28_2 = e2
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (576) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | |   (577)  all_14_2 = e2
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | SIMP: (577) implies:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | |   (578)  all_14_2 = e2
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (578) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | |   (579)  all_50_2 = e2
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | REDUCE: (369), (578) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | |   (580)   ~ (all_52_11 = e2)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | REDUCE: (370), (578) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | |   (581)   ~ (all_52_12 = e2)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | REDUCE: (372), (578) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | |   (582)   ~ (all_52_14 = e2)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | REDUCE: (380), (578) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | |   (583)   ~ (e3 = e2)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | REDUCE: (51), (578) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | |   (584)  op(e0, e0) = e2
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | |   (585)   ~ (all_50_2 = e2)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (585) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | |   (586)  $false
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | CLOSE: (586) is inconsistent.
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | |   (587)  ( ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_50_1 & $i(all_50_0) &
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | |            $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e0, e2)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | |            = all_50_1 & $i(all_50_1))
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (587) gives:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (588)   ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0 &
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |          op(e0, e2) = all_50_1 & $i(all_50_0) &
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |          $i(all_50_1)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | ALPHA: (588) implies:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (589)   ~ (all_50_0 = e3)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (590)  op(e0, e2) = all_50_1
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (591)  op(all_50_1, e0) = all_50_0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_50_1,
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (447), (590) gives:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (592)  all_50_1 = e1
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (592) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (593)  op(e1, e0) = all_50_0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |              all_50_0, e0, e1, simplifying with (160), (593)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (594)  all_52_14 = all_50_0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (594) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (595)  all_54_11 = all_50_0
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (594) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (596)   ~ (all_52_2 = all_50_0)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (594) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (597)   ~ (all_52_6 = all_50_0)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (594) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (598)   ~ (all_52_12 = all_50_0)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (594) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (599)   ~ (all_50_0 = e2)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (594) imply:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | |   (600)   ~ (all_50_0 = e1)
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 183.92/27.71  | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | |   (601)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (601) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | |   (602)  all_56_9 = e3 & op(e3, e0) = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (602) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | |   (603)  all_56_9 = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | |   (604)  op(e3, e0) = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |   (605)  all_56_15 = e0 & op(e0, e0) = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (605) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |   (606)  op(e0, e0) = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (584), (606), (function-axioms) are
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |   (607)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (607) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |   (608)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |   (609)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (610)  all_54_11 = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (589), (595), (610) are inconsistent by sub-proof
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | |            #1795.
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (611)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (611) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (612)  all_54_11 = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (599), (612) are inconsistent by sub-proof
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1794.
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (613)   ~ (all_54_11 = e2)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (614)  all_54_11 = e1 | all_54_11 = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (609) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (615)  all_56_9 = e0 & op(e3, e0) = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (615) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (616)  op(e3, e0) = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (604), (616), (function-axioms) are
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (617)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (617) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (618)  all_56_10 = e0 & op(e2, e0) = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (452), (618) are inconsistent by sub-proof
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1792.
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (619)  all_56_11 = e0 & op(e1, e0) = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (619) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (620)  all_56_11 = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (614) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (621)  all_54_11 = e1
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (600), (621) are inconsistent by sub-proof
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1791.
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (622)  all_54_11 = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (622) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (623)  all_50_0 = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (623) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (624)  all_50_0 = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (596), (624) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (625)   ~ (all_52_2 = e0)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (624) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (626)   ~ (all_52_6 = e0)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (624) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (627)   ~ (all_52_12 = e0)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (599), (624) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (628)   ~ (e2 = e0)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (624) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (629)   ~ (e1 = e0)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (624) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (630)  op(e1, e0) = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (631)  all_54_3 = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (631) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (632)  all_52_12 = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (632) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (633)   ~ (all_52_4 = e3)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (632) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (634)   ~ (all_52_8 = e3)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (635)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (633), (635),
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1790.
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (636)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (636) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (637)  all_56_7 = e3 & op(e1, e2) = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (637) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (638)  all_56_7 = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (639)  op(e1, e2) = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (640)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e2)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (640) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (641)  all_56_6 = e2 & op(e1, e3) = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (641) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (642)  op(e1, e3) = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (639) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (643)  all_52_6 = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (642) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (644)  all_52_2 = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (643) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (645)   ~ (all_4_2 = e3)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (646)   ~ (all_32_2 = e0)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (646) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (647)   ~ (all_4_2 = e0)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (648)  all_54_5 = e3
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (648) are inconsistent by sub-proof
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1948.
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (649)   ~ (all_54_5 = e3)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (650)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (650) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (651)  all_54_5 = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (651) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (652)  all_4_2 = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (652) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (653)  all_4_2 = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (653) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (654)   ~ (all_52_1 = e2)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (653) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (655)   ~ (all_52_9 = e2)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (653) imply:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (656)  op(e2, e2) = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (657)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (657) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (658)  all_56_0 = e2 & op(e3, e3) = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (658) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (659)  op(e3, e3) = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (441), (659), (function-axioms) are
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (660)  all_56_1 = e2 & op(e3, e2) = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (660) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (661)  all_56_1 = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (446), (638), (656), (661),
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1786.
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (662)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (662) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (663)  all_56_4 = e2 & op(e3, e1) = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (663) implies:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (664)  op(e3, e1) = e2
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (665)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (162), (163), (167), (170), (373),
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (397), (398), (633), (654), (656), (665),
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1781.
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (666)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (666) gives:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (667)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (667) gives:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (668) gives:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (669) implies:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)  op(e0, e0) = e1
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (584), (670), (function-axioms) are
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (671)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (671) implies:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  op(e2, e1) = e2
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (655), (672), (function-axioms) are
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (673) gives:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (674) implies:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  op(e0, e0) = e1
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (584), (675), (function-axioms) are
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & $i(all_57_10) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11)
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (677) implies:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)  op(e2, e2) = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (656), (678), (function-axioms) are
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_10) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (679) implies:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  op(e1, e1) = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (680), (function-axioms) are
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (681) gives:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (441), (682), (function-axioms) are
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (683) gives:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (684) implies:
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  op(e1, e1) = e0
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (685), (function-axioms) are
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 183.92/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (686) gives:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (687) implies:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)  op(e1, e0) = e1
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (400), (688), (function-axioms) are
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (689) implies:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (690) gives:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (692) implies:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  op(e2, e2) = e3
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (693), (function-axioms) are
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (694) gives:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  op(e1, e1) = e3
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (400), (638), (696), (function-axioms) are
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1769.
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)  op(e3, e3) = e2
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (441), (698), (function-axioms) are
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (699) gives:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (700) implies:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)  op(e1, e1) = e2
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (403), (701), (function-axioms) are
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (702) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (703) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)  op(e0, e1) = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  op(e3, e1) = all_57_6
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)   ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_26_1 & $i(all_26_0) &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_1)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (706) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)   ~ (all_26_0 = e0)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  op(e3, e1) = all_26_1
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  op(all_26_1, e3) = all_26_0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (704) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (710)  all_52_11 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_26_1,
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_6, e1, e3, simplifying with (705), (708)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (711)  all_57_6 = all_26_1
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_6,
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (664), (705) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (712)  all_57_6 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (712) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (713)  all_26_1 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (713) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (714)  all_26_1 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (710) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (715)   ~ (all_52_3 = e0)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (714) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (716)  op(e2, e3) = all_26_0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (717)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (717) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (718)  all_56_0 = e0 & op(e3, e3) = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (718) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (719)  op(e3, e3) = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (441), (719), (function-axioms) are
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (720)  all_56_2 = e0 & op(e2, e3) = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (720) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (721)  op(e2, e3) = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_0,
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (716), (721) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (722)  all_26_0 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (722) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (723)  $false
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (723) is inconsistent.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (724)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (625), (715), (724),
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1767.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (725)   ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_26_1)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (725) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (726)   ~ (all_26_1 = e2)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (727)  op(e3, e1) = all_26_1
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_26_1,
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_6, e1, e3, simplifying with (705), (727)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (728)  all_57_6 = all_26_1
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_6,
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (664), (705) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (729)  all_57_6 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (729) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (730)  all_26_1 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (730) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (731)  all_26_1 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (731) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  $false
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (732) is inconsistent.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (733) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  op(e2, e2) = e1
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (656), (734), (function-axioms) are
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  all_56_9 = e2 & op(e3, e0) = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (735) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  all_56_9 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (736) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  e3 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (737) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  e3 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (638), (738) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  all_56_7 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (225),
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (226), (228), (373), (457), (656), (739),
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1764.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  all_54_5 = e1 | all_54_5 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (405), (647), (740) are inconsistent by
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1941.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  all_32_2 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (741) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  all_4_2 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (742) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  all_4_2 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (743) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  all_36_2 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (743) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)   ~ (all_52_4 = e0)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (743) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)   ~ (e3 = e0)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (743) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  op(e2, e2) = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)   ~ (all_36_2 = e0)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (748) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)  $false
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (749) is inconsistent.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_36_1 & $i(all_36_1))
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (751) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)  all_56_1 = e2 & op(e3, e2) = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (752) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)  all_56_1 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  all_54_1 = e3
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (633), (754) are inconsistent by sub-proof
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1763.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)   ~ (all_54_1 = e3)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (756) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  all_54_1 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (757) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  all_52_4 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (758) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  all_52_4 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (759) imply:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)   ~ (all_52_8 = e2)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (760) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)   ~ (all_52_8 = e2)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  all_54_2 = e3
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (634), (762) are inconsistent by sub-proof
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1762.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)   ~ (all_54_2 = e3)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (764) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  all_54_2 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (761), (765) are inconsistent by sub-proof
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1761.
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)   ~ (all_54_2 = e2)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  all_54_2 = e1 | all_54_2 = e0
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2)
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (768) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  all_56_4 = e2 & op(e3, e1) = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (769) implies:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  all_56_4 = e2
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (767) gives:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  all_54_2 = e1
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (439), (771) are inconsistent by sub-proof
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1760.
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)  all_54_2 = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (772) imply:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)  all_52_8 = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (773) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)  all_52_8 = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (774) imply:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (775)   ~ (all_52_11 = e0)
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (775) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (776)   ~ (all_52_11 = e0)
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (777)  all_54_14 = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (777) imply:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (778)  all_52_11 = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (778) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (779)  all_52_11 = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (779) imply:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (780)   ~ (all_52_9 = e3)
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (781)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (634), (780), (781),
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1757.
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (782)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (782) gives:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (783)  all_56_8 = e3 & op(e1, e1) = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (783) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (784)  op(e1, e1) = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (400), (638), (784), (function-axioms) are
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1769.
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (785)  all_56_14 = e3 & op(e0, e1) = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (785) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (786)  all_56_14 = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (787)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (787) gives:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (788)  all_56_2 = e3 & op(e2, e3) = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (788) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (789)  all_56_2 = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (790)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (790) gives:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (791)  all_56_4 = e0 & op(e3, e1) = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (770), (791) are inconsistent by sub-proof
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1876.
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (792)  all_56_5 = e0 & op(e2, e1) = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (792) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (793)  all_56_5 = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (223), (229),
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (235), (441), (747), (789), (793),
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1839.
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (794)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (794) gives:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (795)  all_56_8 = e0 & op(e1, e1) = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (795) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (796)  op(e1, e1) = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (218), (459), (770), (786),
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (796), (function-axioms) are inconsistent by
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1752.
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (797)  all_56_14 = e0 & op(e0, e1) = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (797) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (798)  op(e0, e1) = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (776), (798), (function-axioms) are
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (799)  all_56_3 = e3 & op(e2, e2) = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (799) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (800)  op(e2, e2) = e3
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (800), (function-axioms) are
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (801)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (219),
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (403), (452), (786), (801), (function-axioms) are
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1741.
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (802)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (399), (580), (776), (802) are inconsistent
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1736.
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (803)  all_56_5 = e2 & op(e2, e1) = e2
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (803) implies:
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (804)  all_56_5 = e2
% 183.92/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (805)  op(e2, e1) = e2
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (806)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (806) gives:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (807)  all_56_4 = e3 & op(e3, e1) = e3
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (807) implies:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (808)  op(e3, e1) = e3
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (634), (808), (function-axioms) are
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (809)  all_56_5 = e3 & op(e2, e1) = e3
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (809) implies:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (810)  all_56_5 = e3
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (804), (810) are inconsistent by sub-proof
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1735.
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (811)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (811) gives:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (812)  all_56_8 = e3 & op(e1, e1) = e3
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (812) implies:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (813)  op(e1, e1) = e3
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (400), (638), (813), (function-axioms) are
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1769.
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (814)  all_56_14 = e3 & op(e0, e1) = e3
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (814) implies:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (815)  all_56_14 = e3
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (750) gives:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (816)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_36_1 & $i(all_36_0) &
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_36_1)
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (816) implies:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (817)  op(e2, e0) = all_36_1
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (117), (157),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (168), (169), (217),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (224), (225), (227), (229), (231),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (239), (373), (397), (398), (399), (403),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (441), (446), (452), (453), (584), (625), (627),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (634), (638), (747), (753), (805), (815), (817),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1716.
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (818)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_36_1)
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (818) implies:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (819)  op(e2, e0) = all_36_1
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (117), (157),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (168), (169), (217),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (224), (225), (227), (229), (231),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (239), (373), (397), (398), (399), (403),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (441), (446), (452), (453), (584), (625), (627),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (634), (638), (747), (753), (805), (815), (819),
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1716.
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (820)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e1) = e2)
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (820) gives:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (821)  all_56_8 = e2 & op(e1, e1) = e2
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (821) implies:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (822)  op(e1, e1) = e2
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (403), (822), (function-axioms) are
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (823)  all_56_14 = e2 & op(e0, e1) = e2
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (823) implies:
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (824)  all_56_14 = e2
% 184.34/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (825)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (825) gives:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (826)  all_56_12 = e3 & op(e0, e3) = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (826) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (827)  all_56_12 = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (828)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (828) gives:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (829)  all_56_4 = e3 & op(e3, e1) = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (829) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (830)  op(e3, e1) = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (634), (830), (function-axioms) are
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (831)  all_56_5 = e3 & op(e2, e1) = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (831) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (832)  all_56_5 = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (833)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (833) gives:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (834)  all_56_0 = e0 & op(e3, e3) = e0
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (834) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (835)  op(e3, e3) = e0
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (441), (835), (function-axioms) are
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (836)  all_56_2 = e0 & op(e2, e3) = e0
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (836) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (837)  all_56_2 = e0
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (744), (747), (832), (837),
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1701.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (838)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (625), (827), (838), (function-axioms)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1699.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (839)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (839) gives:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (840)  all_56_8 = e3 & op(e1, e1) = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (840) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (841)  op(e1, e1) = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (400), (638), (841), (function-axioms) are
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1769.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (842)  all_56_14 = e3 & op(e0, e1) = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (824), (842) are inconsistent by sub-proof
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1698.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (843)  all_56_13 = e3 & op(e0, e2) = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (843) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (844)  all_56_13 = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (207), (584), (608),
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (824), (844), (function-axioms) are inconsistent
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1693.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (845)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (584), (824), (845), (function-axioms) are
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1691.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (846)  all_54_1 = e1 | all_54_1 = e0
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (457), (745), (846) are inconsistent by
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1898.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (847)  all_56_3 = e2 & op(e2, e2) = e2
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (847) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (848)  op(e2, e2) = e2
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (747), (848), (function-axioms) are
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (849)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (849) gives:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (850)  all_56_7 = e2 & op(e1, e2) = e2
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (850) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (851)  all_56_7 = e2
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (638), (851) are inconsistent by sub-proof
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1865.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (852)  all_56_13 = e2 & op(e0, e2) = e2
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (852) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (853)  all_56_13 = e2
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (446), (853) are inconsistent by sub-proof
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1916.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (854)  all_56_7 = e2 & op(e1, e2) = e2
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (638), (854) are inconsistent by sub-proof
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1925.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (855)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e0) = e2)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (855) gives:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (856)  all_56_8 = e2 & op(e1, e1) = e2
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (856) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (857)  op(e1, e1) = e2
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (403), (857), (function-axioms) are
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (858)  all_56_11 = e2 & op(e1, e0) = e2
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (620), (858) are inconsistent by sub-proof
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1690.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (859)  all_56_13 = e3 & op(e0, e2) = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (859) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (860)  all_56_13 = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (446), (860) are inconsistent by sub-proof
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1864.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (861)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (440), (581), (630), (861),
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1686.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | |   (862)  all_56_10 = e3 & op(e2, e0) = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (862) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | |   (863)  all_56_10 = e3
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (452), (863) are inconsistent by sub-proof
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | |            #1742.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | |   (864)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (168), (193), (206), (452),
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | |            (584), (589), (595), (598), (599), (600), (864),
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | |            #1682.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | |   (865)   ~ (all_50_1 = e1) & op(e0, e2) = all_50_1 &
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | |          $i(all_50_1)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (865) implies:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | |   (866)   ~ (all_50_1 = e1)
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | |   (867)  op(e0, e2) = all_50_1
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_50_1,
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (447), (867) gives:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | |   (868)  all_50_1 = e1
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (868) imply:
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | |   (869)  $false
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | CLOSE: (869) is inconsistent.
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | | End of split
% 184.34/27.78  | | | | | | | | | | | | | | | | | 
% 184.34/27.78  | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.78  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (870)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.34/27.79  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (378), (400), (870),
% 184.34/27.79  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.34/27.79  | | | | | | | | | | | | | | | | |            #1681.
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | End of split
% 184.34/27.79  | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | End of split
% 184.34/27.79  | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | Case 2:
% 184.34/27.79  | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | |   (871)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.34/27.79  | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (378), (399), (871),
% 184.34/27.79  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.34/27.79  | | | | | | | | | | | | | | |            #1680.
% 184.34/27.79  | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | End of split
% 184.34/27.79  | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | End of split
% 184.34/27.79  | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | Case 2:
% 184.34/27.79  | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | |   (872)  all_24_2 = e1
% 184.34/27.79  | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | COMBINE_EQS: (318), (872) imply:
% 184.34/27.79  | | | | | | | | | | | | |   (873)  all_4_2 = e1
% 184.34/27.79  | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | SIMP: (873) implies:
% 184.34/27.79  | | | | | | | | | | | | |   (874)  all_4_2 = e1
% 184.34/27.79  | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | REDUCE: (356), (874) imply:
% 184.34/27.79  | | | | | | | | | | | | |   (875)   ~ (all_52_7 = e1)
% 184.34/27.79  | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | REDUCE: (360), (874) imply:
% 184.34/27.79  | | | | | | | | | | | | |   (876)   ~ (all_52_13 = e1)
% 184.34/27.79  | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | REDUCE: (36), (874) imply:
% 184.34/27.79  | | | | | | | | | | | | |   (877)  op(e2, e2) = e1
% 184.34/27.79  | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | BETA: splitting (207) gives:
% 184.34/27.79  | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | Case 1:
% 184.34/27.79  | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | |   (878)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 184.34/27.79  | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 184.34/27.79  | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | BETA: splitting (878) gives:
% 184.34/27.79  | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | Case 1:
% 184.34/27.79  | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | |   (879)  all_56_12 = e1 & op(e0, e3) = e1
% 184.34/27.79  | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | ALPHA: (879) implies:
% 184.34/27.79  | | | | | | | | | | | | | | |   (880)  all_56_12 = e1
% 184.34/27.79  | | | | | | | | | | | | | | |   (881)  op(e0, e3) = e1
% 184.34/27.79  | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 184.34/27.79  | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79  | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | |   (882)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 184.34/27.79  | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | BETA: splitting (882) gives:
% 184.34/27.79  | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (883)  all_56_9 = e1 & op(e3, e0) = e1
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | ALPHA: (883) implies:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (884)  op(e3, e0) = e1
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 184.34/27.79  | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (881) gives:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (885)  all_52_3 = e1
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 184.34/27.79  | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (884) gives:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (886)  all_52_12 = e1
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | REDUCE: (140), (885) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (887)   ~ (all_52_7 = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | REDUCE: (139), (885) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (888)   ~ (all_52_11 = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | REDUCE: (133), (886) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (889)   ~ (all_52_4 = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | REDUCE: (120), (886) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (890)   ~ (all_52_8 = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | REDUCE: (112), (886) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (891)   ~ (all_52_14 = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | REDUCE: (370), (886) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (892)   ~ (all_14_2 = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | REDUCE: (348), (886) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (893)   ~ (all_6_2 = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | SIMP: (893) implies:
% 184.34/27.79  | | | | | | | | | | | | | | | | |   (894)   ~ (all_6_2 = e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 184.34/27.79  | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | |   (895)  all_54_0 = e3
% 184.34/27.79  | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (895) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | | |   (896)  all_6_2 = e3
% 184.34/27.79  | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | REDUCE: (344), (896) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | | |   (897)   ~ (all_52_4 = e3)
% 184.34/27.79  | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | REDUCE: (346), (896) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | | |   (898)   ~ (all_52_8 = e3)
% 184.34/27.79  | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | REDUCE: (39), (896) imply:
% 184.34/27.79  | | | | | | | | | | | | | | | | | |   (899)  op(e3, e3) = e3
% 184.34/27.79  | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |   (900)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | BETA: splitting (900) gives:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |   (901)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (901) gives:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |   (902)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (380), (403), (902), (function-axioms)
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1976.
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |   (903)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (397), (877), (903), (function-axioms)
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1678.
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |   (904)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (904) gives:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/27.79  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |   (905)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (897), (905), (function-axioms) are
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |   (906)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (398), (898), (906),
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | |            #1677.
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | | 
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | End of split
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | 
% 184.34/27.80  | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/27.80  | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |   (907)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | BETA: splitting (907) gives:
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |   (908)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | BETA: splitting (908) gives:
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |   (909)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (378), (899), (909), (function-axioms)
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1965.
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |   (910)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (910) gives:
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |   (911)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (911) implies:
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |   (912)  op(e0, e0) = e1
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (912), (function-axioms) are
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1967.
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |   (913)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (877), (913), (function-axioms) are
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1676.
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | End of split
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.80  | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |   (914)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (914) gives:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |   (915)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (899), (915), (function-axioms) are
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |   (916)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (916) gives:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |   (917)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (917) implies:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |   (918)  op(e1, e1) = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (403), (918), (function-axioms) are
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |   (919)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (919) gives:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |   (920)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (920) implies:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |   (921)  op(e1, e0) = e1
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (400), (921), (function-axioms) are
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |   (922)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (922) implies:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |   (923)  op(e0, e0) = all_57_15
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |   (924)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (924) gives:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |   (925)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (925) gives:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (926)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (926) implies:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (927)  op(e2, e2) = e3
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (877), (927), (function-axioms) are
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (928)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (403), (899), (928), (function-axioms)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1956.
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |   (929)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (929) gives:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (930)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (930) implies:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (931)  op(e1, e1) = e2
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (403), (931), (function-axioms) are
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (932)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (932) gives:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (933)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (933) implies:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (934)  op(e3, e3) = e1
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (899), (934), (function-axioms) are
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (935)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (935) implies:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (936)  all_57_8 = e0
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (937)   ~ (all_57_15 = e1)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (938)   ~ (all_57_7 = e2)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (939)  op(e0, e1) = e0
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (940)  op(e2, e1) = all_57_7
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (51), (923)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (941)  all_57_15 = all_14_2
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (939) gives:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (942)  all_52_11 = e0
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7, e1, e2, simplifying with (165), (940)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (943)  all_57_7 = all_52_9
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (938), (943) imply:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (944)   ~ (all_52_9 = e2)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (942) imply:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (945)   ~ (all_52_7 = e0)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (942) imply:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (946)   ~ (all_52_8 = e0)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (942) imply:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (947)   ~ (all_14_2 = e0)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (947) implies:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (948)   ~ (all_14_2 = e0)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (399), (942) imply:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (949)   ~ (e1 = e0)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (950)  all_54_15 = e3
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (380), (950) are inconsistent by sub-proof
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1675.
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (951)   ~ (all_54_15 = e3)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (952)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (953)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (953) gives:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (954)  all_56_12 = e3 & op(e0, e3) = e3
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (954) implies:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (955)  all_56_12 = e3
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (880), (955) are inconsistent by sub-proof
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1674.
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (956)  all_56_13 = e3 & op(e0, e2) = e3
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (956) implies:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (957)  op(e0, e2) = e3
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.45/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (958)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (958) gives:
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (959)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (959) gives:
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (960)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (877), (897), (960), (function-axioms)
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1673.
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (961)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (397), (899), (961), (function-axioms)
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1672.
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (962)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (962) gives:
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (963)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (899), (939), (963),
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1670.
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (964)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (165), (398), (944), (964),
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1669.
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (965)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (965) gives:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (966)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (966) gives:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (967)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (967) gives:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (968)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (968) implies:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (969)  op(e2, e2) = e0
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (877), (969), (function-axioms) are
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (970)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (970) implies:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (971)  all_57_15 = e2
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (972)  op(e0, e2) = e0
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (941), (971) imply:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (973)  all_14_2 = e2
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (973) imply:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (974)  all_28_2 = e2
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (73), (957), (972), (974), (function-axioms)
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1666.
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (975)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (378), (399), (975),
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1665.
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (976)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (51), (134), (164), (165), (202),
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (223), (246), (271), (272), (371), (373),
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (378), (877), (889), (890), (897), (898), (936),
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (941), (944), (946), (948), (952), (976),
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1656.
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (977)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (977) gives:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (978)  all_56_14 = e3 & op(e0, e1) = e3
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (978) implies:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (979)  all_56_14 = e3
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (980)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (980) gives:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (981)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (981) gives:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (982)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (877), (897), (982), (function-axioms)
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1673.
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (983)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (397), (899), (983), (function-axioms)
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1672.
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (984)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (985)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (899), (939), (985),
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1670.
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (986)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (986) gives:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (987)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (987) implies:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (988)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (936), (948), (952), (988),
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1657.
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (989)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (989) implies:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (990)  op(e1, e2) = e1
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (398), (990), (function-axioms) are
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (991)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (991) gives:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (992)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (992) gives:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (993)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (993) gives:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (994)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (994) implies:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (995)  op(e2, e2) = e0
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (877), (995), (function-axioms) are
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (996)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (996) implies:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (997)  all_57_15 = e2
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (941), (997) imply:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (998)  all_14_2 = e2
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (998) imply:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (999)  all_28_2 = e2
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (998) imply:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1000)   ~ (all_52_7 = e2)
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (998) imply:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1001)  op(e0, e0) = e2
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1002)  all_56_15 = e0 & op(e0, e0) = e0
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1002) implies:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1003)  op(e0, e0) = e0
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1001), (1003), (function-axioms) are
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1004)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1004) implies:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1005)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1006)  all_54_13 = e3
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1006) imply:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1007)  all_52_7 = e3
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1007) implies:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1008)  all_52_7 = e3
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (1008) imply:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1009)  op(e0, e2) = e3
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1010)   ~ (all_28_2 = e2)
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (999), (1010) imply:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1011)  $false
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1011) is inconsistent.
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1012)  ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e0, e2) = all_28_1 & $i(all_28_0) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2)
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_28_1 & $i(all_28_1))
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1012) gives:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1013)   ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e2) = all_28_1 & $i(all_28_0) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_28_1)
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1013) implies:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1014)  op(e0, e2) = all_28_1
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (939), (979), (1005),
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1009), (1014), (function-axioms) are inconsistent
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1655.
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1015)   ~ (all_28_1 = e3) & op(e0, e2) = all_28_1 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_28_1)
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1015) implies:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1016)  op(e0, e2) = all_28_1
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (939), (979), (1005),
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1009), (1016), (function-axioms) are inconsistent
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1655.
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1017)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (875), (945), (1000), (1017) are
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1651.
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1018)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (378), (399), (1018),
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1665.
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1019)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (51), (134), (164), (165), (202),
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (223), (246), (271), (272), (371), (373),
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (378), (877), (889), (890), (897), (898), (936),
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (941), (944), (946), (948), (952), (1019),
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1656.
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1020)  all_56_15 = e3 & op(e0, e0) = e3
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1020) implies:
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1021)  op(e0, e0) = e3
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (380), (1021), (function-axioms) are
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1977.
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | |   (1022)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.58/27.88  | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (894), (1022) are
% 184.58/27.88  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 184.58/27.88  | | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | |   (1023)  all_56_10 = e1 & op(e2, e0) = e1
% 184.58/27.88  | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | ALPHA: (1023) implies:
% 184.58/27.88  | | | | | | | | | | | | | | | | |   (1024)  op(e2, e0) = e1
% 184.58/27.88  | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (876), (1024), (function-axioms) are
% 184.58/27.88  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 184.58/27.88  | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | |   (1025)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.58/27.88  | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 184.58/27.88  | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (378), (400), (1025),
% 184.58/27.88  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.88  | | | | | | | | | | | | | | | |            #1681.
% 184.58/27.88  | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | |   (1026)  all_56_13 = e1 & op(e0, e2) = e1
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | ALPHA: (1026) implies:
% 184.58/27.88  | | | | | | | | | | | | | | |   (1027)  op(e0, e2) = e1
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | REF_CLOSE: (158), (875), (1027), (function-axioms) are
% 184.58/27.88  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | |   (1028)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.58/27.88  | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (378), (399), (1028),
% 184.58/27.88  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.88  | | | | | | | | | | | | | |            #1680.
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | |   (1029)  all_54_10 = e0
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | COMBINE_EQS: (336), (1029) imply:
% 184.58/27.88  | | | | | | | | | | | |   (1030)  all_10_2 = e0
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | REDUCE: (384), (1030) imply:
% 184.58/27.88  | | | | | | | | | | | |   (1031)  $false
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | CLOSE: (1031) is inconsistent.
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | |   (1032)  all_22_2 = e0
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | COMBINE_EQS: (251), (1032) imply:
% 184.58/27.88  | | | | | | | | |   (1033)  all_10_2 = e0
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | SIMP: (1033) implies:
% 184.58/27.88  | | | | | | | | |   (1034)  all_10_2 = e0
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | REDUCE: (350), (1034) imply:
% 184.58/27.88  | | | | | | | | |   (1035)   ~ (all_52_2 = e0)
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | REDUCE: (361), (1034) imply:
% 184.58/27.88  | | | | | | | | |   (1036)   ~ (all_52_6 = e0)
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | REDUCE: (363), (1034) imply:
% 184.58/27.88  | | | | | | | | |   (1037)   ~ (all_52_8 = e0)
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | REDUCE: (364), (1034) imply:
% 184.58/27.88  | | | | | | | | |   (1038)   ~ (all_52_9 = e0)
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | REDUCE: (366), (1034) imply:
% 184.58/27.88  | | | | | | | | |   (1039)   ~ (all_52_11 = e0)
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | REDUCE: (368), (1034) imply:
% 184.58/27.88  | | | | | | | | |   (1040)   ~ (all_52_14 = e0)
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | REDUCE: (382), (1034) imply:
% 184.58/27.88  | | | | | | | | |   (1041)   ~ (e3 = e0)
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | REDUCE: (375), (1034) imply:
% 184.58/27.88  | | | | | | | | |   (1042)   ~ (e2 = e0)
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | REDUCE: (45), (1034) imply:
% 184.58/27.88  | | | | | | | | |   (1043)  op(e1, e1) = e0
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | BETA: splitting (67) gives:
% 184.58/27.88  | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | Case 1:
% 184.58/27.88  | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | |   (1044)   ~ (all_24_2 = e1)
% 184.58/27.88  | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | REDUCE: (318), (1044) imply:
% 184.58/27.88  | | | | | | | | | |   (1045)   ~ (all_4_2 = e1)
% 184.58/27.88  | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | BETA: splitting (70) gives:
% 184.58/27.88  | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | Case 1:
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | |   (1046)   ~ (all_26_2 = e1)
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | REDUCE: (307), (1046) imply:
% 184.58/27.88  | | | | | | | | | | |   (1047)   ~ (all_6_2 = e1)
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 184.58/27.88  | | | | | | | | | | |            (128), (136), (157), (158), (160), (162), (164),
% 184.58/27.88  | | | | | | | | | | |            (168), (169), (170), (189), (199), (204), (206),
% 184.58/27.88  | | | | | | | | | | |            (207), (208), (209), (210), (211), (212), (213),
% 184.58/27.88  | | | | | | | | | | |            (214), (215), (216), (217), (218), (219), (220),
% 184.58/27.88  | | | | | | | | | | |            (221), (222), (223), (224), (225), (226), (227),
% 184.58/27.88  | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 184.58/27.88  | | | | | | | | | | |            (238), (239), (246), (268), (279), (330), (344),
% 184.58/27.88  | | | | | | | | | | |            (346), (348), (352), (354), (360), (370), (371),
% 184.58/27.88  | | | | | | | | | | |            (373), (374), (377), (378), (380), (1036), (1039),
% 184.58/27.88  | | | | | | | | | | |            (1040), (1043), (1045), (1047), (function-axioms)
% 184.58/27.88  | | | | | | | | | | |            are inconsistent by sub-proof #1489.
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | |   (1048)  all_26_2 = e1
% 184.58/27.88  | | | | | | | | | | |   (1049)  ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0
% 184.58/27.88  | | | | | | | | | | |             & op(e3, e1) = all_26_1 & $i(all_26_0) &
% 184.58/27.88  | | | | | | | | | | |             $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3, e1)
% 184.58/27.88  | | | | | | | | | | |             = all_26_1 & $i(all_26_1))
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | COMBINE_EQS: (307), (1048) imply:
% 184.58/27.88  | | | | | | | | | | |   (1050)  all_6_2 = e1
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | COMBINE_EQS: (303), (1050) imply:
% 184.58/27.88  | | | | | | | | | | |   (1051)  all_42_2 = e1
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | REDUCE: (338), (1050) imply:
% 184.58/27.88  | | | | | | | | | | |   (1052)   ~ (all_52_1 = e1)
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | REDUCE: (340), (1050) imply:
% 184.58/27.88  | | | | | | | | | | |   (1053)   ~ (all_52_2 = e1)
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | REDUCE: (342), (1050) imply:
% 184.58/27.88  | | | | | | | | | | |   (1054)   ~ (all_52_3 = e1)
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | REDUCE: (344), (1050) imply:
% 184.58/27.88  | | | | | | | | | | |   (1055)   ~ (all_52_4 = e1)
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | REDUCE: (346), (1050) imply:
% 184.58/27.88  | | | | | | | | | | |   (1056)   ~ (all_52_8 = e1)
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | REDUCE: (348), (1050) imply:
% 184.58/27.88  | | | | | | | | | | |   (1057)   ~ (all_52_12 = e1)
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | REDUCE: (377), (1050) imply:
% 184.58/27.88  | | | | | | | | | | |   (1058)   ~ (e2 = e1)
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | REDUCE: (39), (1050) imply:
% 184.58/27.88  | | | | | | | | | | |   (1059)  op(e3, e3) = e1
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | BETA: splitting (73) gives:
% 184.58/27.88  | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | Case 1:
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | |   (1060)   ~ (all_28_2 = e2)
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | REDUCE: (330), (1060) imply:
% 184.58/27.88  | | | | | | | | | | | |   (1061)   ~ (all_14_2 = e2)
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | BETA: splitting (189) gives:
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | Case 1:
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | |   (1062)  all_54_15 = e3
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | REF_CLOSE: (246), (380), (1062) are inconsistent by sub-proof
% 184.58/27.88  | | | | | | | | | | | | |            #1675.
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | |   (1063)   ~ (all_54_15 = e3)
% 184.58/27.88  | | | | | | | | | | | | |   (1064)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (51), (113), (117), (120),
% 184.58/27.88  | | | | | | | | | | | | |            (145), (148), (157), (159), (160), (163), (164),
% 184.58/27.88  | | | | | | | | | | | | |            (165), (167), (168), (169), (170), (197), (199),
% 184.58/27.88  | | | | | | | | | | | | |            (214), (218), (219), (220), (229), (230), (238),
% 184.58/27.88  | | | | | | | | | | | | |            (239), (246), (260), (268), (351), (352), (358),
% 184.58/27.88  | | | | | | | | | | | | |            (360), (369), (370), (372), (373), (378), (380),
% 184.58/27.88  | | | | | | | | | | | | |            (1035), (1043), (1045), (1053), (1055), (1059),
% 184.58/27.88  | | | | | | | | | | | | |            (1061), (1064), (function-axioms) are inconsistent
% 184.58/27.88  | | | | | | | | | | | | |            by sub-proof #1470.
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | End of split
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | |   (1065)  all_28_2 = e2
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | COMBINE_EQS: (330), (1065) imply:
% 184.58/27.88  | | | | | | | | | | | |   (1066)  all_14_2 = e2
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | SIMP: (1066) implies:
% 184.58/27.88  | | | | | | | | | | | |   (1067)  all_14_2 = e2
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | REDUCE: (370), (1067) imply:
% 184.58/27.88  | | | | | | | | | | | |   (1068)   ~ (all_52_12 = e2)
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | REDUCE: (371), (1067) imply:
% 184.58/27.88  | | | | | | | | | | | |   (1069)   ~ (all_52_13 = e2)
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | REDUCE: (372), (1067) imply:
% 184.58/27.88  | | | | | | | | | | | |   (1070)   ~ (all_52_14 = e2)
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | REDUCE: (380), (1067) imply:
% 184.58/27.88  | | | | | | | | | | | |   (1071)   ~ (e3 = e2)
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | REDUCE: (51), (1067) imply:
% 184.58/27.88  | | | | | | | | | | | |   (1072)  op(e0, e0) = e2
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | BETA: splitting (79) gives:
% 184.58/27.88  | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | Case 1:
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | |   (1073)   ~ (all_32_2 = e0)
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | REDUCE: (314), (1073) imply:
% 184.58/27.88  | | | | | | | | | | | | |   (1074)   ~ (all_4_2 = e0)
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | BETA: splitting (199) gives:
% 184.58/27.88  | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | Case 1:
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | |   (1075)  all_54_5 = e3
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | COMBINE_EQS: (268), (1075) imply:
% 184.58/27.88  | | | | | | | | | | | | | |   (1076)  all_4_2 = e3
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | REDUCE: (373), (1076) imply:
% 184.58/27.88  | | | | | | | | | | | | | |   (1077)  $false
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | CLOSE: (1077) is inconsistent.
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | |   (1078)   ~ (all_54_5 = e3)
% 184.58/27.88  | | | | | | | | | | | | | |   (1079)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | BETA: splitting (1079) gives:
% 184.58/27.88  | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | Case 1:
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | |   (1080)  all_54_5 = e2
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | COMBINE_EQS: (268), (1080) imply:
% 184.58/27.88  | | | | | | | | | | | | | | |   (1081)  all_4_2 = e2
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | REDUCE: (349), (1081) imply:
% 184.58/27.88  | | | | | | | | | | | | | | |   (1082)   ~ (all_52_1 = e2)
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | REDUCE: (356), (1081) imply:
% 184.58/27.88  | | | | | | | | | | | | | | |   (1083)   ~ (all_52_7 = e2)
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | REDUCE: (358), (1081) imply:
% 184.58/27.88  | | | | | | | | | | | | | | |   (1084)   ~ (all_52_9 = e2)
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | REDUCE: (36), (1081) imply:
% 184.58/27.88  | | | | | | | | | | | | | | |   (1085)  op(e2, e2) = e2
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 184.58/27.88  | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | Case 1:
% 184.58/27.88  | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | |   (1086)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.58/27.88  | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 184.58/27.88  | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (1059), (1082), (1086),
% 184.58/27.88  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.88  | | | | | | | | | | | | | | | |            #1469.
% 184.58/27.88  | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | Case 2:
% 184.58/27.88  | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | |   (1087)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.58/27.88  | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 184.58/27.88  | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | BETA: splitting (1087) gives:
% 184.58/27.88  | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.88  | | | | | | | | | | | | | | | | | 
% 184.58/27.88  | | | | | | | | | | | | | | | | |   (1088)  all_56_6 = e2 & op(e1, e3) = e2
% 184.58/27.88  | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (94), (110),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (113), (117), (118), (120), (121), (123), (125),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (128), (133), (139), (140), (144), (145), (146),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (148), (149), (157), (159), (160), (162), (163),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (190),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (191), (192), (197), (198), (200), (201), (206),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (207), (209), (210), (212), (215), (216), (218),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (219), (220), (221), (222), (223), (224), (229),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (231), (233), (235), (238), (239), (247), (248),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (249), (260), (261), (269), (270), (373), (1037),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (1038), (1039), (1043), (1049), (1051), (1052),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (1053), (1054), (1056), (1057), (1059), (1069),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (1072), (1083), (1084), (1085), (1088),
% 184.58/27.89  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.89  | | | | | | | | | | | | | | | | |            #1421.
% 184.58/27.89  | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | |   (1089)  all_56_12 = e2 & op(e0, e3) = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | ALPHA: (1089) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | |   (1090)  all_56_12 = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | |   (1091)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | BETA: splitting (1091) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |   (1092)  all_56_6 = e2 & op(e1, e3) = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (94), (110),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (113), (117), (118), (120), (121), (123), (125),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (128), (133), (139), (140), (144), (145), (146),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (148), (149), (157), (159), (160), (162), (163),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (190),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (191), (192), (197), (198), (200), (201), (206),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (207), (209), (210), (212), (215), (216), (218),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (222), (223), (224), (229),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (231), (233), (235), (238), (239), (247), (248),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (249), (260), (261), (269), (270), (373), (1037),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (1038), (1039), (1043), (1049), (1051), (1052),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (1053), (1054), (1056), (1057), (1059), (1069),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (1072), (1083), (1084), (1085), (1092),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            #1421.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |   (1093)  all_56_7 = e2 & op(e1, e2) = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | ALPHA: (1093) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |   (1094)  all_56_7 = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (225),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (226), (228), (373), (1055), (1085), (1094),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            #1764.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | |   (1095)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 184.58/27.89  | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | BETA: splitting (1095) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |   (1096)  all_56_8 = e2 & op(e1, e1) = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | ALPHA: (1096) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |   (1097)  op(e1, e1) = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1043), (1097), (function-axioms) are
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |   (1098)  all_56_11 = e2 & op(e1, e0) = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | ALPHA: (1098) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | |   (1099)  all_56_11 = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | |   (1100)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1100) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | |   (1101)  all_56_6 = e1 & op(e1, e3) = e1
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1101) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | |   (1102)  op(e1, e3) = e1
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1053), (1102), (function-axioms) are
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | |   (1103)  all_56_7 = e1 & op(e1, e2) = e1
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1103) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | |   (1104)  all_56_7 = e1
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | |   (1105)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1105) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | |   (1106)  all_56_9 = e1 & op(e3, e0) = e1
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1106) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | |   (1107)  op(e3, e0) = e1
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1057), (1107), (function-axioms) are
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | |   (1108)  all_56_10 = e1 & op(e2, e0) = e1
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1108) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | |   (1109)  all_56_10 = e1
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | |   (1110)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1110) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (1111)  all_56_4 = e2 & op(e3, e1) = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1111) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (1112)  all_56_4 = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1113)  all_56_15 = e0 & op(e0, e0) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1113) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1114)  op(e0, e0) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1072), (1114), (function-axioms) are
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1115)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1115) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1116)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1117)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1117) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1118)  all_56_9 = e3 & op(e3, e0) = e3
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1118) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1119)  op(e3, e0) = e3
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1120)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1120) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1121)  all_56_0 = e0 & op(e3, e3) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1121) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1122)  op(e3, e3) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1059), (1122), (function-axioms) are
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1123)  all_56_1 = e0 & op(e3, e2) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1123) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1124)  all_56_1 = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1116) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1125)  all_56_12 = e0 & op(e0, e3) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1043), (1090), (1112), (1125), (function-axioms)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1560.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1126)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1126) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1127)  all_56_13 = e0 & op(e0, e2) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1127) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1128)  all_56_13 = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (36), (228), (373), (1104), (1124),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1128), (function-axioms) are inconsistent by
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1419.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1129)  all_56_14 = e0 & op(e0, e1) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1129) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1130)  op(e0, e1) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1039), (1130), (function-axioms) are
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1131)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1131) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1132)  all_56_4 = e0 & op(e3, e1) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1132) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1133)  all_56_4 = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1043), (1133), (function-axioms) are inconsistent
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1809.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1134)  all_56_9 = e0 & op(e3, e0) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1134) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1135)  op(e3, e0) = e0
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1119), (1135), (function-axioms) are
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1136)  all_56_10 = e3 & op(e2, e0) = e3
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1136) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1137)  all_56_10 = e3
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1109), (1137) are inconsistent by sub-proof
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1742.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1138)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1138) gives:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1139)  all_56_11 = e3 & op(e1, e0) = e3
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1139) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1140)  all_56_11 = e3
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1099), (1140) are inconsistent by sub-proof
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1619.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1141)  all_56_15 = e3 & op(e0, e0) = e3
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1141) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1142)  op(e0, e0) = e3
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1072), (1142), (function-axioms) are
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (1143)  all_56_5 = e2 & op(e2, e1) = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1143) implies:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (1144)  op(e2, e1) = e2
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1084), (1144), (function-axioms) are
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | |   (1145)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | |            (169), (206), (207), (209), (218), (219), (220),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | |            (1043), (1054), (1056), (1072), (1145),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | |            #1422.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | |   (1146)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1072), (1099), (1146), (function-axioms) are
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1418.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | |   (1147)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (1043), (1099), (1147),
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | |            #1491.
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | | End of split
% 184.58/27.89  | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | Case 2:
% 184.58/27.89  | | | | | | | | | | | | | | | 
% 184.58/27.89  | | | | | | | | | | | | | | |   (1148)  all_54_5 = e1 | all_54_5 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | REF_CLOSE: (268), (1045), (1074), (1148) are inconsistent by
% 184.58/27.90  | | | | | | | | | | | | | | |            sub-proof #1941.
% 184.58/27.90  | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | End of split
% 184.58/27.90  | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | End of split
% 184.58/27.90  | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | |   (1149)  all_32_2 = e0
% 184.58/27.90  | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | COMBINE_EQS: (314), (1149) imply:
% 184.58/27.90  | | | | | | | | | | | | |   (1150)  all_4_2 = e0
% 184.58/27.90  | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | SIMP: (1150) implies:
% 184.58/27.90  | | | | | | | | | | | | |   (1151)  all_4_2 = e0
% 184.58/27.90  | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | COMBINE_EQS: (309), (1151) imply:
% 184.58/27.90  | | | | | | | | | | | | |   (1152)  all_36_2 = e0
% 184.58/27.90  | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | REDUCE: (1045), (1151) imply:
% 184.58/27.90  | | | | | | | | | | | | |   (1153)   ~ (e1 = e0)
% 184.58/27.90  | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | REDUCE: (36), (1151) imply:
% 184.58/27.90  | | | | | | | | | | | | |   (1154)  op(e2, e2) = e0
% 184.58/27.90  | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | BETA: splitting (206) gives:
% 184.58/27.90  | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | |   (1155)  all_56_15 = e0 & op(e0, e0) = e0
% 184.58/27.90  | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | ALPHA: (1155) implies:
% 184.58/27.90  | | | | | | | | | | | | | |   (1156)  op(e0, e0) = e0
% 184.58/27.90  | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | REF_CLOSE: (5), (1072), (1156), (function-axioms) are
% 184.58/27.90  | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 184.58/27.90  | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | |   (1157)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.58/27.90  | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.58/27.90  | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.58/27.90  | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.58/27.90  | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.58/27.90  | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | ALPHA: (1157) implies:
% 184.58/27.90  | | | | | | | | | | | | | |   (1158)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 184.58/27.90  | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.58/27.90  | | | | | | | | | | | | | |               e1) = e0)
% 184.58/27.90  | | | | | | | | | | | | | |   (1159)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.58/27.90  | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 184.58/27.90  | | | | | | | | | | | | | |               e0) = e0)
% 184.58/27.90  | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | BETA: splitting (1158) gives:
% 184.58/27.90  | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | |   (1160)  all_56_12 = e0 & op(e0, e3) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | ALPHA: (1160) implies:
% 184.58/27.90  | | | | | | | | | | | | | | |   (1161)  all_56_12 = e0
% 184.58/27.90  | | | | | | | | | | | | | | |   (1162)  op(e0, e3) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | |   (1163)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | BETA: splitting (1163) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1164)  all_56_0 = e0 & op(e3, e3) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | ALPHA: (1164) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1165)  op(e3, e3) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1059), (1165), (function-axioms) are
% 184.58/27.90  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1166)  all_56_1 = e0 & op(e3, e2) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | ALPHA: (1166) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1167)  all_56_1 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | BETA: splitting (1159) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | |   (1168)  all_56_9 = e0 & op(e3, e0) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | ALPHA: (1168) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | |   (1169)  all_56_9 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | |   (1170)  op(e3, e0) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (1059),
% 184.58/27.90  | | | | | | | | | | | | | | | | | |            (1167), (1169), (1170), (function-axioms) are
% 184.58/27.90  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1416.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | |   (1171)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 184.58/27.90  | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | BETA: splitting (1171) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1172)  all_56_10 = e0 & op(e2, e0) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | ALPHA: (1172) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1173)  all_56_10 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |            (223), (224), (229), (233), (235), (373), (1059),
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |            (1069), (1154), (1173), (function-axioms) are
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1410.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1174)  all_56_11 = e0 & op(e1, e0) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | ALPHA: (1174) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1175)  op(e1, e0) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1040), (1175), (function-axioms) are
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | End of split
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | End of split
% 184.58/27.90  | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | |   (1176)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | BETA: splitting (1176) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1177)  all_56_4 = e0 & op(e3, e1) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | ALPHA: (1177) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1178)  all_56_4 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 184.58/27.90  | | | | | | | | | | | | | | | | |            (1043), (1178), (function-axioms) are inconsistent
% 184.58/27.90  | | | | | | | | | | | | | | | | |            by sub-proof #1809.
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1179)  all_56_9 = e0 & op(e3, e0) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | ALPHA: (1179) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1180)  all_56_9 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1181)  op(e3, e0) = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 184.58/27.90  | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (1162) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1182)  all_52_3 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 184.58/27.90  | | | | | | | | | | | | | | | | |              e0, e0, e3, simplifying with (168), (1181) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1183)  all_52_12 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | REDUCE: (148), (1182) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1184)   ~ (all_52_1 = e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | REDUCE: (139), (1182) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1185)   ~ (all_52_11 = e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | REDUCE: (133), (1183) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1186)   ~ (all_52_4 = e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | REDUCE: (113), (1183) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1187)   ~ (all_52_13 = e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | SIMP: (1187) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1188)   ~ (all_52_13 = e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | REDUCE: (112), (1183) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | |   (1189)   ~ (all_52_14 = e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | |   (1190)   ~ (all_36_2 = e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | REDUCE: (1152), (1190) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | |   (1191)  $false
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | CLOSE: (1191) is inconsistent.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | |   (1192)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 184.58/27.90  | | | | | | | | | | | | | | | | | |             & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 184.58/27.90  | | | | | | | | | | | | | | | | | |             $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 184.58/27.90  | | | | | | | | | | | | | | | | | |             = all_36_1 & $i(all_36_1))
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1193)  all_54_8 = e3
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (1193) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1194)  all_52_2 = e3
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | SIMP: (1194) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1195)  all_52_2 = e3
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1195) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1196)   ~ (all_52_1 = e3)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1195) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1197)   ~ (all_52_6 = e3)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | SIMP: (1197) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1198)   ~ (all_52_6 = e3)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1195) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1199)   ~ (all_52_14 = e3)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | SIMP: (1199) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | |   (1200)   ~ (all_52_14 = e3)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | |   (1201)  all_54_4 = e3
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1196), (1201) are inconsistent by
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | |   (1202)   ~ (all_54_4 = e3)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | |   (1203)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | |   (1204)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1204) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | |   (1205)  all_56_6 = e2 & op(e1, e3) = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1205) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | |   (1206)  all_56_6 = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (1043), (1198),
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | |            (1200), (1206), (function-axioms) are inconsistent
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1405.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | |   (1207)  all_56_7 = e2 & op(e1, e2) = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1207) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | |   (1208)  all_56_7 = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | |   (1209)  all_54_11 = e3
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1209) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | |   (1210)  all_52_14 = e3
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1200), (1210) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | |   (1211)  $false
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1211) is inconsistent.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | |   (1212)   ~ (all_54_11 = e3)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | |   (1213)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | |   (1214)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (1215)  all_56_9 = e3 & op(e3, e0) = e3
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1215) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (1216)  op(e3, e0) = e3
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1181), (1216), (function-axioms) are
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (1217)  all_56_10 = e3 & op(e2, e0) = e3
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1217) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (1218)  all_56_10 = e3
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1219)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1219) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1220)  all_56_0 = e2 & op(e3, e3) = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1220) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1221)  op(e3, e3) = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1059), (1221), (function-axioms) are
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1222)  all_56_2 = e2 & op(e2, e3) = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1222) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1223)  all_56_2 = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1224)  op(e2, e3) = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1203) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1225)  all_54_4 = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1225) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1226)  all_52_1 = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1226) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1227)  all_52_1 = e2
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1227) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1228)   ~ (all_52_9 = e2)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1228) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1229)   ~ (all_52_9 = e2)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1227) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1230)   ~ (all_52_13 = e2)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1231)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1055), (1154), (1231),
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1908.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1232)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1232) gives:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1233)  all_56_7 = e1 & op(e1, e2) = e1
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1233) implies:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1234)  all_56_7 = e1
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1208), (1234) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1235)  e2 = e1
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1223), (1235) imply:
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1236)  all_56_2 = e1
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1059), (1236), (function-axioms) are inconsistent
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1844.
% 184.58/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1237)  all_56_13 = e1 & op(e0, e2) = e1
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1237) implies:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1238)  all_56_13 = e1
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1239)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1239) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1240)  all_56_1 = e3 & op(e3, e2) = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1240) implies:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1241)  all_56_1 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1242)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1059), (1154), (1242), (function-axioms) are
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1843.
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1243)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1243) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1244)  all_56_5 = e1 & op(e2, e1) = e1
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1244) implies:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1245)  all_56_5 = e1
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1246)  op(e2, e1) = e1
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1247)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (206), (207), (209), (218), (219), (220),
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1043), (1054), (1056), (1072), (1245), (1246),
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1247), (function-axioms) are inconsistent by
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1402.
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1248)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1248) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1249)  all_56_8 = e3 & op(e1, e1) = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1249) implies:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1250)  op(e1, e1) = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1043), (1250), (function-axioms) are
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1251)  all_56_14 = e3 & op(e0, e1) = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1251) implies:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1252)  all_56_14 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1253)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (168), (219),
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (232), (373), (1043), (1057),
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1218), (1241), (1245), (1246), (1252), (1253),
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1396.
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1254)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1254) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1255)  all_56_6 = e3 & op(e1, e3) = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1255) implies:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1256)  all_56_6 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1213) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1257)  all_54_11 = e2
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1257) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1258)  all_52_14 = e2
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (1258) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1259)  $false
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1259) is inconsistent.
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1260)  all_54_11 = e1 | all_54_11 = e0
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1260) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1261)  all_54_11 = e1
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1261) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1262)  all_52_14 = e1
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1262) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1263)   ~ (all_52_6 = e1)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1262) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1264)   ~ (all_52_13 = e1)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1265)  all_54_9 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1265) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1266)  all_52_6 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1198), (1266) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1267)  $false
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1267) is inconsistent.
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1268)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1269)  all_54_7 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (1269) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1270)  all_52_13 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1270) implies:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1271)  all_52_13 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1271) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1272)   ~ (all_52_9 = e3)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1271) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1273)  op(e2, e0) = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1268) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1274)  all_54_9 = e2
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1274) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1275)  all_52_6 = e2
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1275) implies:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1276)  all_52_6 = e2
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1276) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1277)   ~ (all_52_4 = e2)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1278)  all_54_1 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1278) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1279)  all_52_4 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1279) implies:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1280)  all_52_4 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1280) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1281)   ~ (all_52_8 = e3)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1281) implies:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1282)   ~ (all_52_8 = e3)
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (1280) imply:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1283)  op(e3, e2) = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1284)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1284) gives:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1285)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1286)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (1059), (1286),
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1893.
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1287)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (1053), (1282), (1287),
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1733.
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1288)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1288) gives:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1289)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1289) gives:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1290)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1290) implies:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1291)  op(e3, e3) = e0
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1059), (1291), (function-axioms) are
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1292)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_1 & $i(all_57_1)))
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1292) implies:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1293)  op(e0, e0) = e3
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (123), (134),
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (146), (157), (160), (163), (165), (167), (169),
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (202), (208), (214), (215), (216), (218),
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (226), (233), (234), (236), (238),
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (373), (1037), (1038), (1039), (1043),
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1053), (1056), (1059), (1154), (1161), (1162),
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1180), (1181), (1200), (1293), (function-axioms)
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1379.
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.58/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1294)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (1059), (1154), (1283), (1294),
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1378.
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1295)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1295) gives:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1296)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1296) gives:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1297)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1297) gives:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1298)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1298) implies:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1299)  op(e2, e0) = e2
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1192), (1273), (1299), (function-axioms) are
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1707.
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1300)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1300) implies:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1301)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1059), (1283), (1301), (function-axioms) are
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1888.
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1302)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1302) gives:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1303)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1303) implies:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1304)  op(e0, e1) = e1
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1305)  all_54_6 = e3
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1272), (1305) are inconsistent by
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1306)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1306) gives:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1307)  all_54_6 = e2
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1229), (1307) are inconsistent by
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1467.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1308)  all_54_6 = e1 | all_54_6 = e0
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (261), (1038), (1304), (1308),
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1451.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1309)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1309) implies:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1310)  op(e1, e0) = e0
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1040), (1310), (function-axioms) are
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1311)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1311) gives:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1312)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (1059), (1161), (1223),
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1256), (1283), (1312), (function-axioms) are
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1377.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1313)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (1043), (1072), (1313),
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1433.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1314)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (1055), (1186), (1277), (1314) are
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1897.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1315)  all_54_9 = e1 | all_54_9 = e0
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1036), (1263), (1315) are inconsistent by
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1802.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1316)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1069), (1188), (1264), (1316) are
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1375.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1317)  all_54_11 = e0
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1317) imply:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1318)  all_52_14 = e0
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1040), (1318) imply:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1319)  $false
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1319) is inconsistent.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1320)  all_56_12 = e3 & op(e0, e3) = e3
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (1059),
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1161), (1180), (1181), (1241), (1320),
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1374.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1321)  all_56_10 = e1 & op(e2, e0) = e1
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1218), (1321) are inconsistent by sub-proof
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1539.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1322)  all_56_3 = e3 & op(e2, e2) = e3
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1322) implies:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1323)  op(e2, e2) = e3
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1323), (function-axioms) are
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1324)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (1198), (1238), (1324),
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1373.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1325)   ~ (all_54_4 = e2)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (1325) imply:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1326)   ~ (all_52_1 = e2)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (1224), (1326), (function-axioms) are
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1785.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1327)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1327) gives:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1328)  all_56_6 = e2 & op(e1, e3) = e2
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1328) implies:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1329)  all_56_6 = e2
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1330)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1055), (1154), (1330),
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1908.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1331)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1331) gives:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1332)  all_56_7 = e1 & op(e1, e2) = e1
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1332) implies:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1333)  all_56_7 = e1
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1208), (1333) imply:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1334)  e2 = e1
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1329), (1334) imply:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1335)  all_56_6 = e1
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (1043),
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1333), (1335), (function-axioms) are inconsistent
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1616.
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1336)  all_56_13 = e1 & op(e0, e2) = e1
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1336) implies:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1337)  all_56_13 = e1
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1338)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1338) gives:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1339)  all_56_1 = e3 & op(e3, e2) = e3
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1339) implies:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1340)  all_56_1 = e3
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1341)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 184.99/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1059), (1154), (1341), (function-axioms) are
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1843.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1342)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1342) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1343)  all_56_5 = e1 & op(e2, e1) = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1343) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1344)  all_56_5 = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1345)  op(e2, e1) = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1346)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (206), (207), (209), (218), (219), (220),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1043), (1054), (1056), (1072), (1344), (1345),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1346), (function-axioms) are inconsistent by
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1402.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1347)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1347) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1348)  all_56_8 = e3 & op(e1, e1) = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1348) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1349)  op(e1, e1) = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1043), (1349), (function-axioms) are
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1350)  all_56_14 = e3 & op(e0, e1) = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1350) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1351)  all_56_14 = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1352)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (168), (219),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (232), (373), (1043), (1057),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1218), (1340), (1344), (1345), (1351), (1352),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1396.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1353)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1353) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1354)  all_56_6 = e3 & op(e1, e3) = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1354) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1355)  all_56_6 = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1329), (1355) imply:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1356)  e3 = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1356) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1357)  e3 = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1351), (1357) imply:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1358)  all_56_14 = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (209), (218), (219), (220), (1043), (1072),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1337), (1344), (1358), (function-axioms) are
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1424.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1359)  all_56_12 = e3 & op(e0, e3) = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (1059),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1161), (1180), (1181), (1340), (1359),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1374.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1360)  all_56_10 = e1 & op(e2, e0) = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1218), (1360) are inconsistent by sub-proof
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1539.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1361)  all_56_3 = e3 & op(e2, e2) = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1361) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1362)  op(e2, e2) = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1362), (function-axioms) are
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1363)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (1198), (1337), (1363),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1373.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1364)  all_56_12 = e2 & op(e0, e3) = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1364) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1365)  all_56_12 = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1161), (1365) are inconsistent by sub-proof
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1852.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |   (1366)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (123), (134),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |            (146), (157), (160), (163), (165), (167), (169),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |            (170), (202), (208), (214), (215), (216), (218),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (226), (233), (234), (236), (238),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |            (271), (373), (1037), (1038), (1039), (1043),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |            (1053), (1056), (1059), (1154), (1161), (1162),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |            (1180), (1181), (1200), (1366), (function-axioms)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1372.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | |   (1367)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1367) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | |   (1368)  all_56_8 = e2 & op(e1, e1) = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1368) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | |   (1369)  op(e1, e1) = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1043), (1369), (function-axioms) are
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | |   (1370)  all_56_11 = e2 & op(e1, e0) = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1370) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | |   (1371)  all_56_11 = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |   (1372)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1372) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |   (1373)  all_56_9 = e3 & op(e3, e0) = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1373) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |   (1374)  op(e3, e0) = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1181), (1374), (function-axioms) are
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |   (1375)  all_56_10 = e3 & op(e2, e0) = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1375) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | |   (1376)  all_56_10 = e3
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (1377)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1377) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1378)  all_56_0 = e2 & op(e3, e3) = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1378) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1379)  op(e3, e3) = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1059), (1379), (function-axioms) are
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1380)  all_56_2 = e2 & op(e2, e3) = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1380) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1381)  all_56_2 = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1382)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1382) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1383)  all_56_9 = e1 & op(e3, e0) = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1383) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1384)  op(e3, e0) = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1057), (1384), (function-axioms) are
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1385)  all_56_10 = e1 & op(e2, e0) = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1385) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1386)  all_56_10 = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1376), (1386) are inconsistent by sub-proof
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1742.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1387)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1387) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1388)  all_56_11 = e1 & op(e1, e0) = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1388) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1389)  all_56_11 = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1371), (1389) imply:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1390)  e2 = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1381), (1390) imply:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1391)  all_56_2 = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1059), (1391), (function-axioms) are inconsistent
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1844.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1392)  all_56_15 = e1 & op(e0, e0) = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1392) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1393)  op(e0, e0) = e1
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1072), (1393), (function-axioms) are
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (1394)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1394) gives:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1395)  all_56_6 = e2 & op(e1, e3) = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1395) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1396)  all_56_6 = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (1043), (1198),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1200), (1396), (function-axioms) are inconsistent
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1405.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1397)  all_56_12 = e2 & op(e0, e3) = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1397) implies:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1398)  all_56_12 = e2
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1161), (1398) are inconsistent by sub-proof
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1852.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |   (1399)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (123), (134),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |            (146), (157), (160), (163), (165), (167), (169),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |            (170), (202), (208), (214), (215), (216), (218),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (226), (233), (234), (236), (238),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |            (271), (373), (1037), (1038), (1039), (1043),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |            (1053), (1056), (1059), (1154), (1161), (1162),
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |            (1180), (1181), (1200), (1399), (function-axioms)
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1372.
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.95  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | |   (1400)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | |   (1401)  all_54_8 = e2
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (1401) imply:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | |   (1402)  all_52_2 = e2
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | SIMP: (1402) implies:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | |   (1403)  all_52_2 = e2
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1403) imply:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | |   (1404)   ~ (all_52_1 = e2)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (1403) imply:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | |   (1405)  op(e1, e3) = e2
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | |   (1406)  all_54_4 = e3
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1406) imply:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | |   (1407)  all_52_1 = e3
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | SIMP: (1407) implies:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | |   (1408)  all_52_1 = e3
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1408) imply:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | |   (1409)   ~ (all_52_13 = e3)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | SIMP: (1409) implies:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | |   (1410)   ~ (all_52_13 = e3)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (1408) imply:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | |   (1411)  op(e2, e3) = e3
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | |   (1412)  all_54_7 = e3
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1410), (1412) are inconsistent by
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | |   (1413)   ~ (all_54_7 = e3)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | |   (1414)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1414) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | |   (1415)  all_54_7 = e2
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1069), (1415) are inconsistent by
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | |   (1416)   ~ (all_54_7 = e2)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | |   (1417)  all_54_7 = e1 | all_54_7 = e0
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1417) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | |   (1418)  all_54_7 = e1
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (1418) imply:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | |   (1419)  all_52_13 = e1
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1419) implies:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | |   (1420)  all_52_13 = e1
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1420) imply:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | |   (1421)   ~ (all_52_9 = e1)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1420) imply:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | |   (1422)   ~ (all_52_14 = e1)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1422) implies:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | |   (1423)   ~ (all_52_14 = e1)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1410), (1420) imply:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | |   (1424)   ~ (e3 = e1)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (1425)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1425) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1426)  all_56_6 = e1 & op(e1, e3) = e1
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1426) implies:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1427)  op(e1, e3) = e1
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1053), (1427), (function-axioms) are
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1428)  all_56_7 = e1 & op(e1, e2) = e1
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1428) implies:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1429)  all_56_7 = e1
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1430)  op(e1, e2) = e1
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1431)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1154), (1411), (1431),
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1415.
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1432)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1432) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1433)  all_56_5 = e2 & op(e2, e1) = e2
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1433) implies:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1434)  op(e2, e1) = e2
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1435)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1435) gives:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1436)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1436) gives:
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1437)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (1059), (1437),
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1893.
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1438)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (1053), (1405), (1438),
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1370.
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1439)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1439) gives:
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1440)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (1059), (1072), (1440),
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1369.
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1441)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (1154), (1421), (1441),
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1368.
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1442)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1442) gives:
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1443)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1444)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1444) gives:
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1445)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1445) implies:
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1446)  op(e2, e0) = e2
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (1434), (1446),
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1447)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1447) implies:
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1448)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1043), (1430), (1448), (function-axioms) are
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1513.
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1449)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1040), (1423), (1449), (function-axioms)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1514.
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1450)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1450) gives:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1451)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1451) gives:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1452)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1452) implies:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1453)  op(e3, e3) = e3
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1454)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (229), (231), (1043), (1072), (1161),
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1423), (1429), (1453), (1454), (function-axioms)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1520.
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1455)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1455) implies:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1456)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1043), (1430), (1456), (function-axioms) are
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1513.
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1457)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (1043), (1072), (1457),
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1433.
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1458)  all_56_10 = e2 & op(e2, e0) = e2
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1458) implies:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1459)  op(e2, e0) = e2
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1069), (1459), (function-axioms) are
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (1460)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (1043), (1423), (1460),
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | |            #1528.
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | |   (1461)  all_54_7 = e0
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1188), (1461) are inconsistent by
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1477.
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | |   (1462)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1052), (1184), (1404), (1462) are
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | |   (1463)  all_54_8 = e1 | all_54_8 = e0
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (1035), (1053), (1463) are inconsistent by
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | |            sub-proof #1365.
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | End of split
% 184.99/27.99  | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | Case 2:
% 184.99/27.99  | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | |   (1464)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 184.99/27.99  | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 184.99/27.99  | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | BETA: splitting (1464) gives:
% 184.99/27.99  | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99  | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | |   (1465)  all_56_13 = e0 & op(e0, e2) = e0
% 184.99/27.99  | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | ALPHA: (1465) implies:
% 184.99/27.99  | | | | | | | | | | | | | | | |   (1466)  all_56_13 = e0
% 184.99/27.99  | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 184.99/27.99  | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99  | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | |   (1467)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 184.99/27.99  | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 184.99/27.99  | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | BETA: splitting (1467) gives:
% 184.99/27.99  | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | |   (1468)  all_56_0 = e0 & op(e3, e3) = e0
% 184.99/27.99  | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | ALPHA: (1468) implies:
% 184.99/27.99  | | | | | | | | | | | | | | | | | |   (1469)  op(e3, e3) = e0
% 184.99/27.99  | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1059), (1469), (function-axioms) are
% 184.99/27.99  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 184.99/27.99  | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | Case 2:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | |   (1470)  all_56_2 = e0 & op(e2, e3) = e0
% 184.99/27.99  | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | ALPHA: (1470) implies:
% 184.99/27.99  | | | | | | | | | | | | | | | | | |   (1471)  all_56_2 = e0
% 184.99/27.99  | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | 
% 184.99/27.99  | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/27.99  | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | |   (1472)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.99/28.00  | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1059), (1471), (1472),
% 184.99/28.00  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/28.00  | | | | | | | | | | | | | | | | | | |            #1364.
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | Case 2:
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | |   (1473)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.99/28.00  | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (1473) gives:
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | |   (1474)  all_56_6 = e2 & op(e1, e3) = e2
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | ALPHA: (1474) implies:
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | |   (1475)  all_56_6 = e2
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | |   (1476)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1059), (1471), (1476),
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 184.99/28.00  | | | | | | | | | | | | | | | | | | | | |            #1463.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | |   (1477)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1477) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | |   (1478)  all_56_6 = e3 & op(e1, e3) = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1478) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | |   (1479)  all_56_6 = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1475), (1479) are inconsistent by sub-proof
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | |            #1504.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | |   (1480)  all_56_12 = e3 & op(e0, e3) = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1480) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | |   (1481)  all_56_12 = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | |   (1482)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (1059),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | |            (1154), (1481), (1482), (function-axioms) are
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1363.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | |   (1483)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1483) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1484)  all_56_5 = e1 & op(e2, e1) = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1484) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1485)  all_56_5 = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (85), (223), (224),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            (373), (1152), (1154), (1471), (1485),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            #1703.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1486)  all_56_10 = e1 & op(e2, e0) = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1486) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1487)  all_56_10 = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (1488)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1488) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1489)  all_56_4 = e1 & op(e3, e1) = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1489) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1490)  op(e3, e1) = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1056), (1490), (function-axioms) are
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1491)  all_56_5 = e1 & op(e2, e1) = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1491) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1492)  all_56_5 = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (85), (223), (224),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (1152), (1154), (1471), (1492),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1703.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (1493)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1493) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1494)  all_56_8 = e1 & op(e1, e1) = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1494) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1495)  op(e1, e1) = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1043), (1495), (function-axioms) are
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1496)  all_56_14 = e1 & op(e0, e1) = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1496) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1497)  all_56_14 = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1498)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1498) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1499)  all_56_4 = e3 & op(e3, e1) = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1499) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1500)  all_56_4 = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1501)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1501) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1502)  all_56_2 = e3 & op(e2, e3) = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1502) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1503)  all_56_2 = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1471), (1503) imply:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1504)  e3 = e0
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1500), (1504) imply:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1505)  all_56_4 = e0
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (1043),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1497), (1505), (function-axioms) are inconsistent
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1810.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1506)  all_56_3 = e3 & op(e2, e2) = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1506) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1507)  op(e2, e2) = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1507), (function-axioms) are
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1508)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1508) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1509)  all_56_5 = e3 & op(e2, e1) = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1509) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1510)  all_56_5 = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (1152), (1154), (1471),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1510), (function-axioms) are inconsistent by
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1701.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1511)  all_56_10 = e3 & op(e2, e0) = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1487), (1511) are inconsistent by sub-proof
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1837.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1512)  all_56_5 = e3 & op(e2, e1) = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1512) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1513)  all_56_5 = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (1152), (1154), (1471),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1513), (function-axioms) are inconsistent by
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1701.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1514)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1043), (1497), (1514),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1361.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | |   (1515)  all_56_12 = e2 & op(e0, e3) = e2
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | ALPHA: (1515) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | |   (1516)  all_56_12 = e2
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | |   (1517)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1059), (1471), (1517),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | |            #1463.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | |   (1518)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1518) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | |   (1519)  all_56_6 = e3 & op(e1, e3) = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1519) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | |   (1520)  all_56_6 = e3
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | |   (1521)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1521) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1522)  all_56_2 = e2 & op(e2, e3) = e2
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1522) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1523)  all_56_2 = e2
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1471), (1523) imply:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1524)  e2 = e0
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1524) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1525)  e2 = e0
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1516), (1525) imply:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1526)  all_56_12 = e0
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            (170), (209), (215), (216), (218), (223), (226),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (235), (373), (1043), (1055),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            (1056), (1059), (1069), (1072), (1154), (1466),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            (1526), (function-axioms) are inconsistent by
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1356.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1527)  all_56_3 = e2 & op(e2, e2) = e2
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1527) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1528)  op(e2, e2) = e2
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1154), (1528), (function-axioms) are
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | |   (1529)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1529) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1530)  all_56_5 = e2 & op(e2, e1) = e2
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1530) implies:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (1531)  all_56_5 = e2
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (1532)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1055), (1154), (1532),
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |            #1908.
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (1533)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1533) gives:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1534)  all_56_7 = e1 & op(e1, e2) = e1
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1534) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1535)  all_56_7 = e1
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1536)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1536) gives:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1537)  all_56_1 = e2 & op(e3, e2) = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1537) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1538)  all_56_1 = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (215), (216),
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (373), (1043), (1466), (1520), (1535),
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1538), (function-axioms) are inconsistent by
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1358.
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1539)  all_56_3 = e2 & op(e2, e2) = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1539) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1540)  op(e2, e2) = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1154), (1540), (function-axioms) are
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1541)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1541) gives:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1542)  all_56_7 = e2 & op(e1, e2) = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1542) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1543)  all_56_7 = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1535), (1543) imply:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1544)  e2 = e1
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1544) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1545)  e2 = e1
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1531), (1545) imply:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1546)  all_56_5 = e1
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (85), (223), (224),
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (1152), (1154), (1471), (1546),
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1703.
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1547)  all_56_13 = e2 & op(e0, e2) = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1547) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1548)  all_56_13 = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1043), (1466), (1531), (1548), (function-axioms)
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1355.
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1549)  all_56_13 = e1 & op(e0, e2) = e1
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1549) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1550)  all_56_13 = e1
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1466), (1550) are inconsistent by sub-proof
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1787.
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | |   (1551)  all_56_10 = e2 & op(e2, e0) = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1551) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | |   (1552)  all_56_10 = e2
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (1152), (1154), (1471),
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | |            (1552), (function-axioms) are inconsistent by
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1702.
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | |   (1553)  all_56_12 = e3 & op(e0, e3) = e3
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1553) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | |   (1554)  all_56_12 = e3
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1516), (1554) are inconsistent by sub-proof
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | |            #1354.
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01  | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | |   (1555)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.32/28.01  | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 185.32/28.01  | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | BETA: splitting (1555) gives:
% 185.32/28.01  | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | |   (1556)  all_56_6 = e0 & op(e1, e3) = e0
% 185.32/28.01  | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1035), (1556), (function-axioms) are
% 185.32/28.01  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 185.32/28.01  | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01  | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | |   (1557)  all_56_12 = e0 & op(e0, e3) = e0
% 185.32/28.01  | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | ALPHA: (1557) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | | | |   (1558)  all_56_12 = e0
% 185.32/28.01  | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 185.32/28.01  | | | | | | | | | | | | | | | | | |            (170), (209), (215), (216), (218), (223), (226),
% 185.32/28.01  | | | | | | | | | | | | | | | | | |            (227), (228), (235), (373), (1043), (1055),
% 185.32/28.01  | | | | | | | | | | | | | | | | | |            (1056), (1059), (1069), (1072), (1154), (1466),
% 185.32/28.01  | | | | | | | | | | | | | | | | | |            (1558), (function-axioms) are inconsistent by
% 185.32/28.01  | | | | | | | | | | | | | | | | | |            sub-proof #1356.
% 185.32/28.01  | | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | Case 2:
% 185.32/28.01  | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | |   (1559)  all_56_14 = e0 & op(e0, e1) = e0
% 185.32/28.01  | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | ALPHA: (1559) implies:
% 185.32/28.01  | | | | | | | | | | | | | | | |   (1560)  op(e0, e1) = e0
% 185.32/28.01  | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1039), (1560), (function-axioms) are
% 185.32/28.01  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 185.32/28.01  | | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | End of split
% 185.32/28.01  | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | Case 2:
% 185.32/28.01  | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | |   (1561)  all_24_2 = e1
% 185.32/28.01  | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | COMBINE_EQS: (318), (1561) imply:
% 185.32/28.01  | | | | | | | | | |   (1562)  all_4_2 = e1
% 185.32/28.01  | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | REDUCE: (354), (1562) imply:
% 185.32/28.01  | | | | | | | | | |   (1563)   ~ (all_52_6 = e1)
% 185.32/28.01  | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | REDUCE: (356), (1562) imply:
% 185.32/28.01  | | | | | | | | | |   (1564)   ~ (all_52_7 = e1)
% 185.32/28.01  | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | REDUCE: (360), (1562) imply:
% 185.32/28.01  | | | | | | | | | |   (1565)   ~ (all_52_13 = e1)
% 185.32/28.01  | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | REDUCE: (373), (1562) imply:
% 185.32/28.01  | | | | | | | | | |   (1566)   ~ (e3 = e1)
% 185.32/28.01  | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | REDUCE: (36), (1562) imply:
% 185.32/28.01  | | | | | | | | | |   (1567)  op(e2, e2) = e1
% 185.32/28.01  | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | BETA: splitting (70) gives:
% 185.32/28.01  | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | Case 1:
% 185.32/28.01  | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | |   (1568)   ~ (all_26_2 = e1)
% 185.32/28.01  | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | REDUCE: (307), (1568) imply:
% 185.32/28.01  | | | | | | | | | | |   (1569)   ~ (all_6_2 = e1)
% 185.32/28.01  | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | BETA: splitting (204) gives:
% 185.32/28.01  | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | Case 1:
% 185.32/28.01  | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | |   (1570)  all_54_0 = e3
% 185.32/28.01  | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | COMBINE_EQS: (279), (1570) imply:
% 185.32/28.01  | | | | | | | | | | | |   (1571)  all_6_2 = e3
% 185.32/28.01  | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | SIMP: (1571) implies:
% 185.32/28.01  | | | | | | | | | | | |   (1572)  all_6_2 = e3
% 185.32/28.01  | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | REDUCE: (344), (1572) imply:
% 185.32/28.01  | | | | | | | | | | | |   (1573)   ~ (all_52_4 = e3)
% 185.32/28.01  | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | REDUCE: (346), (1572) imply:
% 185.32/28.01  | | | | | | | | | | | |   (1574)   ~ (all_52_8 = e3)
% 185.32/28.01  | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | REDUCE: (348), (1572) imply:
% 185.32/28.01  | | | | | | | | | | | |   (1575)   ~ (all_52_12 = e3)
% 185.32/28.01  | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | REDUCE: (39), (1572) imply:
% 185.32/28.01  | | | | | | | | | | | |   (1576)  op(e3, e3) = e3
% 185.32/28.01  | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | BETA: splitting (238) gives:
% 185.32/28.01  | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | Case 1:
% 185.32/28.01  | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | |   (1577)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 185.32/28.01  | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.01  | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.32/28.01  | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.32/28.01  | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 185.32/28.01  | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.01  | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.32/28.01  | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.32/28.01  | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.32/28.01  | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 185.32/28.01  | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.32/28.01  | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.32/28.01  | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.32/28.01  | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 185.32/28.01  | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.32/28.01  | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.32/28.01  | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 185.32/28.01  | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 185.32/28.01  | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 185.32/28.01  | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 185.32/28.01  | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 185.32/28.01  | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 185.32/28.01  | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 185.32/28.01  | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 185.32/28.01  | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 185.32/28.01  | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 185.32/28.01  | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 185.32/28.01  | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 185.32/28.01  | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 185.32/28.01  | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 185.32/28.01  | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 185.32/28.01  | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 185.32/28.01  | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 185.32/28.01  | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 185.32/28.01  | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 185.32/28.01  | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 185.32/28.01  | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 185.32/28.01  | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 185.32/28.01  | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 185.32/28.01  | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | Case 1:
% 185.32/28.01  | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | |   (1578)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 185.32/28.01  | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.01  | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.32/28.01  | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.32/28.01  | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 185.32/28.01  | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.01  | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.32/28.01  | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.32/28.01  | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.32/28.01  | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 185.32/28.01  | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.32/28.01  | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.32/28.01  | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.32/28.01  | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 185.32/28.01  | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.32/28.01  | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.32/28.01  | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 185.32/28.01  | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | BETA: splitting (1578) gives:
% 185.32/28.01  | | | | | | | | | | | | | | 
% 185.32/28.01  | | | | | | | | | | | | | | Case 1:
% 185.32/28.01  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | |   (1579)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 185.32/28.02  | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.32/28.02  | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 185.32/28.02  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (380), (1043), (1579),
% 185.32/28.02  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.02  | | | | | | | | | | | | | | |            #1353.
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | Case 2:
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | |   (1580)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.32/28.02  | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 185.32/28.02  | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.32/28.02  | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.32/28.02  | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.32/28.02  | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (380), (1567), (1580),
% 185.32/28.02  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.02  | | | | | | | | | | | | | | |            #1352.
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | End of split
% 185.32/28.02  | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | Case 2:
% 185.32/28.02  | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | |   (1581)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.32/28.02  | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 185.32/28.02  | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.32/28.02  | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.32/28.02  | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 185.32/28.02  | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 185.32/28.02  | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 185.32/28.02  | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.32/28.02  | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 185.32/28.02  | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 185.32/28.02  | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.32/28.02  | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 185.32/28.02  | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 185.32/28.02  | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 185.32/28.02  | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 185.32/28.02  | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 185.32/28.02  | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 185.32/28.02  | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 185.32/28.02  | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.32/28.02  | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 185.32/28.02  | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 185.32/28.02  | | | | | | | | | | | | | |             $i(all_57_10))
% 185.32/28.02  | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | BETA: splitting (1581) gives:
% 185.32/28.02  | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | Case 1:
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | |   (1582)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.32/28.02  | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 185.32/28.02  | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.32/28.02  | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.32/28.02  | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 185.32/28.02  | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.32/28.02  | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | | REF_CLOSE: (170), (1573), (1582), (function-axioms) are
% 185.32/28.02  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | Case 2:
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | |   (1583)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 185.32/28.02  | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 185.32/28.02  | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 185.32/28.02  | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 185.32/28.02  | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.32/28.02  | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 185.32/28.02  | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 185.32/28.02  | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 185.32/28.02  | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 185.32/28.02  | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (1563), (1574), (1583),
% 185.32/28.02  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.02  | | | | | | | | | | | | | | |            #1677.
% 185.32/28.02  | | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | | End of split
% 185.32/28.02  | | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | | End of split
% 185.32/28.02  | | | | | | | | | | | | | 
% 185.32/28.02  | | | | | | | | | | | | Case 2:
% 185.32/28.02  | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | |   (1584)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.32/28.03  | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.32/28.03  | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.32/28.03  | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.32/28.03  | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 185.32/28.03  | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.32/28.03  | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 185.32/28.03  | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.32/28.03  | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 185.32/28.03  | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.32/28.03  | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.32/28.03  | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.32/28.03  | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 185.32/28.03  | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.32/28.03  | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.32/28.03  | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.32/28.03  | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 185.32/28.03  | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.32/28.03  | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.32/28.03  | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 185.32/28.03  | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 185.32/28.03  | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 185.32/28.03  | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 185.32/28.03  | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 185.32/28.03  | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 185.32/28.03  | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 185.32/28.03  | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 185.32/28.03  | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 185.32/28.03  | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 185.32/28.03  | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 185.32/28.03  | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.32/28.03  | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.32/28.03  | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.32/28.03  | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 185.32/28.03  | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.32/28.03  | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.32/28.03  | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.32/28.03  | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.32/28.03  | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 185.32/28.03  | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.32/28.03  | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.32/28.03  | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.32/28.03  | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 185.32/28.03  | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.32/28.03  | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.32/28.03  | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 185.32/28.03  | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.32/28.03  | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.32/28.03  | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 185.32/28.03  | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.32/28.03  | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.32/28.03  | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 185.32/28.03  | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.32/28.03  | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.32/28.03  | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 185.32/28.03  | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.32/28.03  | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.32/28.03  | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | BETA: splitting (1584) gives:
% 185.32/28.03  | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | Case 1:
% 185.32/28.03  | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | |   (1585)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.32/28.03  | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.32/28.03  | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.32/28.03  | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.32/28.03  | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 185.32/28.03  | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.32/28.03  | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 185.32/28.03  | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.32/28.03  | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 185.32/28.03  | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.32/28.03  | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.32/28.03  | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.32/28.03  | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 185.32/28.03  | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.32/28.03  | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.32/28.03  | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.32/28.03  | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 185.32/28.03  | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.32/28.03  | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.32/28.03  | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 185.32/28.03  | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | BETA: splitting (1585) gives:
% 185.32/28.03  | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | Case 1:
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | |   (1586)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.32/28.03  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.32/28.03  | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.32/28.03  | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.32/28.03  | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 185.32/28.03  | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.32/28.03  | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 185.32/28.03  | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (1574), (1576), (1586),
% 185.32/28.03  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.03  | | | | | | | | | | | | | | |            #1351.
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | Case 2:
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | |   (1587)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.32/28.03  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 185.32/28.03  | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 185.32/28.03  | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.32/28.03  | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 185.32/28.03  | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 185.32/28.03  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.32/28.03  | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.32/28.03  | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 185.32/28.03  | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 185.32/28.03  | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 185.32/28.03  | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 185.32/28.03  | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | | REF_CLOSE: (168), (1567), (1575), (1587), (function-axioms)
% 185.32/28.03  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1350.
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | End of split
% 185.32/28.03  | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | Case 2:
% 185.32/28.03  | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | |   (1588)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 185.32/28.03  | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.32/28.03  | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.32/28.03  | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.32/28.03  | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 185.32/28.03  | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.32/28.03  | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.32/28.03  | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 185.32/28.03  | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 185.32/28.03  | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 185.32/28.03  | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 185.32/28.03  | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.32/28.03  | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 185.32/28.03  | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 185.32/28.03  | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 185.32/28.03  | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 185.32/28.03  | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 185.32/28.03  | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.03  | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 185.32/28.03  | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 185.32/28.03  | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 185.32/28.03  | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 185.32/28.03  | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 185.32/28.03  | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.32/28.03  | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.32/28.03  | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 185.32/28.03  | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.32/28.03  | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.32/28.03  | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 185.32/28.03  | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.32/28.03  | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.32/28.03  | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 185.32/28.03  | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.32/28.03  | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.32/28.03  | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 185.32/28.03  | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.32/28.03  | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.32/28.03  | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | BETA: splitting (1588) gives:
% 185.32/28.03  | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | Case 1:
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | |   (1589)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 185.32/28.03  | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.32/28.03  | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.32/28.03  | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.32/28.03  | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 185.32/28.03  | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.32/28.03  | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.32/28.03  | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 185.32/28.03  | | | | | | | | | | | | | | |             $i(all_57_14))
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | | REF_CLOSE: (7), (1576), (1589), (function-axioms) are
% 185.32/28.03  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | Case 2:
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | |   (1590)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 185.32/28.03  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 185.32/28.03  | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.32/28.03  | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.32/28.03  | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.32/28.03  | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 185.32/28.03  | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.32/28.03  | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.32/28.03  | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.32/28.03  | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.32/28.03  | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 185.32/28.03  | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.32/28.03  | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.32/28.03  | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.32/28.03  | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 185.32/28.03  | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.32/28.03  | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.32/28.03  | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 185.32/28.03  | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.32/28.03  | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.32/28.03  | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 185.32/28.03  | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.32/28.03  | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.32/28.03  | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 185.32/28.03  | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 185.32/28.03  | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.32/28.03  | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.32/28.03  | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 185.32/28.03  | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.32/28.03  | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | | BETA: splitting (1590) gives:
% 185.32/28.03  | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | | Case 1:
% 185.32/28.03  | | | | | | | | | | | | | | | | 
% 185.32/28.03  | | | | | | | | | | | | | | | |   (1591)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 185.32/28.03  | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 185.32/28.03  | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.32/28.03  | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.32/28.03  | | | | | | | | | | | | | | | |           $i(all_57_13)
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | ALPHA: (1591) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1592)  all_57_11 = e2
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1593)   ~ (all_57_13 = e1)
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1594)   ~ (all_57_12 = e0)
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1595)  op(e1, e0) = all_57_13
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1596)  op(e2, e0) = e2
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1597)  op(e2, e2) = all_57_12
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 185.32/28.04  | | | | | | | | | | | | | | | |              all_57_13, e0, e1, simplifying with (160), (1595)
% 185.32/28.04  | | | | | | | | | | | | | | | |              gives:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1598)  all_57_13 = all_52_14
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 185.32/28.04  | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (1596) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1599)  all_52_13 = e2
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 185.32/28.04  | | | | | | | | | | | | | | | |              all_57_12, e2, e2, simplifying with (1567), (1597)
% 185.32/28.04  | | | | | | | | | | | | | | | |              gives:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1600)  all_57_12 = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | REDUCE: (1593), (1598) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1601)   ~ (all_52_14 = e1)
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | REDUCE: (117), (1599) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1602)   ~ (all_52_9 = e2)
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | REDUCE: (113), (1599) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1603)   ~ (all_52_12 = e2)
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | REDUCE: (110), (1599) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1604)   ~ (all_52_14 = e2)
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | SIMP: (1604) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1605)   ~ (all_52_14 = e2)
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | REDUCE: (371), (1599) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1606)   ~ (all_14_2 = e2)
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | SIMP: (1606) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | |   (1607)   ~ (all_14_2 = e2)
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | |   (1608)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.32/28.04  | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 185.32/28.04  | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | BETA: splitting (1608) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | |   (1609)  all_56_9 = e1 & op(e3, e0) = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | ALPHA: (1609) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | |   (1610)  all_56_9 = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | |   (1611)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | |   (1612)  all_56_0 = e0 & op(e3, e3) = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | ALPHA: (1612) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | |   (1613)  op(e3, e3) = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1576), (1613), (function-axioms) are
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | |   (1614)  all_56_1 = e0 & op(e3, e2) = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | ALPHA: (1614) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | |   (1615)  all_56_1 = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | |   (1616)  all_54_15 = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1616) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | |   (1617)  all_14_2 = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (1617) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | |   (1618)  $false
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1618) is inconsistent.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | |   (1619)   ~ (all_54_15 = e3)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | |   (1620)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | |   (1621)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1621) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | |   (1622)  all_56_6 = e1 & op(e1, e3) = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1622) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | |   (1623)  all_56_6 = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | |   (1624)  op(e1, e3) = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | |   (1625)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (1626)  all_56_2 = e3 & op(e2, e3) = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1626) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (1627)  all_56_2 = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (1035), (1576), (1627), (function-axioms)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1720.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (1628)  all_56_3 = e3 & op(e2, e2) = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1628) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (1629)  op(e2, e2) = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1567), (1629), (function-axioms) are
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | |   (1630)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1630) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (1631)  all_56_5 = e3 & op(e2, e1) = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1631) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (1632)  all_56_5 = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1633)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1633) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1634)  all_56_9 = e3 & op(e3, e0) = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1634) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1635)  op(e3, e0) = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1575), (1635), (function-axioms) are
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1636)  all_56_10 = e3 & op(e2, e0) = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (126), (157),
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (168), (170), (193), (206), (211), (212),
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (218), (219), (220), (221),
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (228), (229), (231), (233), (246),
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (378), (1039), (1040), (1043), (1563),
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1567), (1573), (1575), (1576), (1601), (1605),
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1607), (1610), (1620), (1623), (1636),
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1333.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1637)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1637) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1638)  all_56_11 = e3 & op(e1, e0) = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1638) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1639)  all_56_11 = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1640)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1640) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1641)  all_56_12 = e3 & op(e0, e3) = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1641) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1642)  all_56_12 = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (1035), (1576), (1642), (function-axioms)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1332.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1643)  all_56_13 = e3 & op(e0, e2) = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1643) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1644)  all_56_13 = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1645)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1645) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1646)  all_56_6 = e2 & op(e1, e3) = e2
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1623), (1646) are inconsistent by sub-proof
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1331.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1647)  all_56_7 = e2 & op(e1, e2) = e2
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1647) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1648)  all_56_7 = e2
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1620) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1649)  all_54_15 = e2
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1607), (1649) are inconsistent by
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1648.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1650)   ~ (all_54_15 = e2)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1651)  all_54_15 = e1 | all_54_15 = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1651) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1652)  all_54_15 = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (1652) are inconsistent by sub-proof
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1660.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1653)  all_54_15 = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1653) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1654)  all_14_2 = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1654) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1655)  all_14_2 = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (1655) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1656)   ~ (all_52_3 = e0)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (1655) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1657)   ~ (all_52_12 = e0)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1658)  all_54_3 = e3
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1575), (1658) are inconsistent by
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1659)   ~ (all_54_3 = e3)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1660)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1660) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1661)  all_54_3 = e2
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1603), (1661) are inconsistent by
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1689.
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1662)   ~ (all_54_3 = e2)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1663)  all_54_3 = e1 | all_54_3 = e0
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1663) gives:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1664)  all_54_3 = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1664) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1665)  all_52_12 = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1665) implies:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1666)  all_52_12 = e1
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1666) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1667)   ~ (all_52_4 = e1)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1666) imply:
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1668)   ~ (all_52_8 = e1)
% 185.32/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1603), (1666) imply:
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1669)   ~ (e2 = e1)
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1670)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1670) gives:
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1671)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1671) gives:
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1672)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (1567), (1573), (1672),
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1673.
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1673)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (1576), (1668), (1673),
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1329.
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1674)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1674) gives:
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1675)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (1576), (1656), (1675),
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1328.
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1676)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (165), (1563), (1602), (1676),
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1669.
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1677)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1677) gives:
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1678)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1678) gives:
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1679)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1679) gives:
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1680)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1680) implies:
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1681)  op(e2, e2) = e0
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (1615), (1644), (1667),
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1681), (function-axioms) are inconsistent by
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1901.
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1682)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1682) implies:
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1683)  op(e0, e0) = e2
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (1607), (1651), (1683),
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1645.
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.32/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1684)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1684) gives:
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1685)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1685) implies:
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1686)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11))
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (1592), (1615), (1644),
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1667), (1686), (function-axioms) are inconsistent
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1327.
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1687)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1687) implies:
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1688)  op(e1, e0) = e0
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1040), (1688), (function-axioms) are
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1689)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1689) gives:
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1690)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1690) gives:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1691)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1691) implies:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1692)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1043), (1624), (1692), (function-axioms) are
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1325.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1693)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1693) implies:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1694)  op(e2, e2) = e2
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (225),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (226), (228), (373), (1648), (1667), (1694),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1764.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1695)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1695) gives:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1696)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1696) implies:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1697)  op(e1, e1) = e1
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1043), (1697), (function-axioms) are
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1698)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1698) implies:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1699)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11))
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (1592), (1615), (1644),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1667), (1699), (function-axioms) are inconsistent
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1327.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1700)  all_54_3 = e0
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1657), (1700) are inconsistent by
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1324.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1701)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1043), (1639), (1701),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1334.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1702)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1702) gives:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1703)  all_56_14 = e3 & op(e0, e1) = e3
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1703) implies:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1704)  all_56_14 = e3
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (1043),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1632), (1704), (function-axioms) are inconsistent
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1746.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1705)  all_56_15 = e3 & op(e0, e0) = e3
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (380), (1607), (1620), (1705),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1706)  all_56_15 = e3 & op(e0, e0) = e3
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (380), (1607), (1620), (1706),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (1707)  all_56_10 = e3 & op(e2, e0) = e3
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (126), (157),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (168), (170), (193), (206), (211), (212),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (218), (219), (220), (221),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (228), (229), (231), (233), (246),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (378), (1039), (1040), (1043), (1563),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |            (1567), (1573), (1575), (1576), (1601), (1605),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |            (1607), (1610), (1620), (1623), (1707),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |            #1333.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | |   (1708)  all_56_7 = e1 & op(e1, e2) = e1
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1708) implies:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | |   (1709)  op(e1, e2) = e1
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1563), (1709), (function-axioms) are
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | |   (1710)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (1043), (1601), (1710),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | |            #1528.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | |   (1711)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.64/28.08  | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 185.64/28.08  | | | | | | | | | | | | | | | | | | |            (1043), (1610), (1711), (function-axioms) are
% 185.64/28.08  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 185.64/28.08  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.08  | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.08  | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | |   (1712)  all_56_10 = e1 & op(e2, e0) = e1
% 185.64/28.08  | | | | | | | | | | | | | | | | | | 
% 185.64/28.08  | | | | | | | | | | | | | | | | | | ALPHA: (1712) implies:
% 185.64/28.08  | | | | | | | | | | | | | | | | | |   (1713)  op(e2, e0) = e1
% 185.64/28.08  | | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1565), (1713), (function-axioms) are
% 185.64/28.09  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 185.64/28.09  | | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | End of split
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | |   (1714)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.64/28.09  | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | BETA: splitting (1714) gives:
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.09  | | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | |   (1715)  all_56_11 = e1 & op(e1, e0) = e1
% 185.64/28.09  | | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | | ALPHA: (1715) implies:
% 185.64/28.09  | | | | | | | | | | | | | | | | | |   (1716)  op(e1, e0) = e1
% 185.64/28.09  | | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1601), (1716), (function-axioms) are
% 185.64/28.09  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 185.64/28.09  | | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.09  | | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | |   (1717)  all_56_15 = e1 & op(e0, e0) = e1
% 185.64/28.09  | | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | | ALPHA: (1717) implies:
% 185.64/28.09  | | | | | | | | | | | | | | | | | |   (1718)  op(e0, e0) = e1
% 185.64/28.09  | | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (378), (380), (1607), (1718),
% 185.64/28.09  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.09  | | | | | | | | | | | | | | | | | |            #1641.
% 185.64/28.09  | | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | End of split
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | End of split
% 185.64/28.09  | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | Case 2:
% 185.64/28.09  | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | |   (1719)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 185.64/28.09  | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.09  | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 185.64/28.09  | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 185.64/28.09  | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 185.64/28.09  | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 185.64/28.09  | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 185.64/28.09  | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 185.64/28.09  | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 185.64/28.09  | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 185.64/28.09  | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 185.64/28.09  | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 185.64/28.09  | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 185.64/28.09  | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 185.64/28.09  | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 185.64/28.09  | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.09  | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 185.64/28.09  | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.09  | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 185.64/28.09  | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 185.64/28.09  | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 185.64/28.09  | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 185.64/28.09  | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 185.64/28.09  | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 185.64/28.09  | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 185.64/28.09  | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 185.64/28.09  | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 185.64/28.09  | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | BETA: splitting (1719) gives:
% 185.64/28.09  | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | |   (1720)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 185.64/28.09  | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | ALPHA: (1720) implies:
% 185.64/28.09  | | | | | | | | | | | | | | | | |   (1721)   ~ (all_57_14 = e0)
% 185.64/28.09  | | | | | | | | | | | | | | | | |   (1722)  op(e1, e1) = all_57_14
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | REF_CLOSE: (1043), (1721), (1722), (function-axioms) are
% 185.64/28.09  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | |   (1723)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.09  | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.09  | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.09  | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.09  | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 185.64/28.09  | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 185.64/28.09  | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 185.64/28.09  | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 185.64/28.09  | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 185.64/28.09  | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 185.64/28.09  | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 185.64/28.09  | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 185.64/28.09  | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 185.64/28.09  | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 185.64/28.09  | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 185.64/28.09  | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | ALPHA: (1723) implies:
% 185.64/28.09  | | | | | | | | | | | | | | | | |   (1724)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.09  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.09  | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 185.64/28.09  | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 185.64/28.09  | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 185.64/28.09  | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 185.64/28.09  | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.09  | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.09  | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.64/28.09  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.09  | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 185.64/28.09  | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 185.64/28.09  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 185.64/28.09  | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 185.64/28.09  | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 185.64/28.09  | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 185.64/28.09  | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (157), (1039), (1043), (1567),
% 185.64/28.09  | | | | | | | | | | | | | | | | |            (1576), (1724), (function-axioms) are inconsistent
% 185.64/28.09  | | | | | | | | | | | | | | | | |            by sub-proof #1633.
% 185.64/28.09  | | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | | End of split
% 185.64/28.09  | | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | End of split
% 185.64/28.09  | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | End of split
% 185.64/28.09  | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | End of split
% 185.64/28.09  | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | End of split
% 185.64/28.09  | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | Case 2:
% 185.64/28.09  | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | |   (1725)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.64/28.09  | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (1569), (1725) are
% 185.64/28.09  | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 185.64/28.09  | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | End of split
% 185.64/28.09  | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | Case 2:
% 185.64/28.09  | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | |   (1726)  all_26_2 = e1
% 185.64/28.09  | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | COMBINE_EQS: (307), (1726) imply:
% 185.64/28.09  | | | | | | | | | | |   (1727)  all_6_2 = e1
% 185.64/28.09  | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | SIMP: (1727) implies:
% 185.64/28.09  | | | | | | | | | | |   (1728)  all_6_2 = e1
% 185.64/28.09  | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | REDUCE: (340), (1728) imply:
% 185.64/28.09  | | | | | | | | | | |   (1729)   ~ (all_52_2 = e1)
% 185.64/28.09  | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | REDUCE: (342), (1728) imply:
% 185.64/28.09  | | | | | | | | | | |   (1730)   ~ (all_52_3 = e1)
% 185.64/28.09  | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | REDUCE: (377), (1728) imply:
% 185.64/28.09  | | | | | | | | | | |   (1731)   ~ (e2 = e1)
% 185.64/28.09  | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | REDUCE: (39), (1728) imply:
% 185.64/28.09  | | | | | | | | | | |   (1732)  op(e3, e3) = e1
% 185.64/28.09  | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | BETA: splitting (214) gives:
% 185.64/28.09  | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | Case 1:
% 185.64/28.09  | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | |   (1733)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 185.64/28.09  | | | | | | | | | | | |             & op(e1, e2) = e1)
% 185.64/28.09  | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | REF_CLOSE: (162), (163), (1563), (1729), (1733),
% 185.64/28.09  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.09  | | | | | | | | | | | |            #1322.
% 185.64/28.09  | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | Case 2:
% 185.64/28.09  | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | |   (1734)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 185.64/28.09  | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 185.64/28.09  | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | BETA: splitting (1734) gives:
% 185.64/28.09  | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | Case 1:
% 185.64/28.09  | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | |   (1735)  all_56_8 = e1 & op(e1, e1) = e1
% 185.64/28.09  | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | ALPHA: (1735) implies:
% 185.64/28.09  | | | | | | | | | | | | |   (1736)  op(e1, e1) = e1
% 185.64/28.09  | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | REF_CLOSE: (4), (1043), (1736), (function-axioms) are
% 185.64/28.09  | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 185.64/28.09  | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | Case 2:
% 185.64/28.09  | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | |   (1737)  all_56_11 = e1 & op(e1, e0) = e1
% 185.64/28.09  | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | ALPHA: (1737) implies:
% 185.64/28.09  | | | | | | | | | | | | |   (1738)  op(e1, e0) = e1
% 185.64/28.09  | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | BETA: splitting (207) gives:
% 185.64/28.09  | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | Case 1:
% 185.64/28.09  | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | |   (1739)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.64/28.09  | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 185.64/28.09  | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (1564), (1730), (1739),
% 185.64/28.09  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.09  | | | | | | | | | | | | | |            #1321.
% 185.64/28.09  | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | Case 2:
% 185.64/28.09  | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | |   (1740)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.64/28.09  | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 185.64/28.09  | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | BETA: splitting (1740) gives:
% 185.64/28.09  | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | Case 1:
% 185.64/28.09  | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | |   (1741)  all_56_14 = e1 & op(e0, e1) = e1
% 185.64/28.09  | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | ALPHA: (1741) implies:
% 185.64/28.09  | | | | | | | | | | | | | | |   (1742)  op(e0, e1) = e1
% 185.64/28.09  | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 185.64/28.09  | | | | | | | | | | | | | | |              e1, e1, e0, simplifying with (157), (1742) gives:
% 185.64/28.09  | | | | | | | | | | | | | | |   (1743)  all_52_11 = e1
% 185.64/28.09  | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 185.64/28.09  | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (1738) gives:
% 185.64/28.09  | | | | | | | | | | | | | | |   (1744)  all_52_14 = e1
% 185.64/28.09  | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | REDUCE: (372), (1744) imply:
% 185.64/28.09  | | | | | | | | | | | | | | |   (1745)   ~ (all_14_2 = e1)
% 185.64/28.09  | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 185.64/28.09  | | | | | | | | | | | | | | | 
% 185.64/28.09  | | | | | | | | | | | | | | | Case 1:
% 185.64/28.09  | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | |   (1746)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 185.64/28.10  | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.10  | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 185.64/28.10  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.10  | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.10  | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.10  | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.10  | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.10  | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 185.64/28.10  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 185.64/28.10  | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 185.64/28.10  | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 185.64/28.10  | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 185.64/28.10  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.10  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 185.64/28.10  | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 185.64/28.10  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 185.64/28.10  | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 185.64/28.10  | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 185.64/28.10  | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 185.64/28.10  | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 185.64/28.10  | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 185.64/28.10  | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 185.64/28.10  | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 185.64/28.10  | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 185.64/28.10  | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.10  | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 185.64/28.10  | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | BETA: splitting (1746) gives:
% 185.64/28.10  | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.10  | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | |   (1747)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 185.64/28.10  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.10  | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 185.64/28.10  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.10  | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.10  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.10  | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.10  | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 185.64/28.10  | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | BETA: splitting (1747) gives:
% 185.64/28.10  | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | |   (1748)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 185.64/28.10  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.10  | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 185.64/28.10  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (380), (1043), (1748),
% 185.64/28.10  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.10  | | | | | | | | | | | | | | | | | |            #1353.
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | |   (1749)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.10  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (1567), (1729), (1749),
% 185.64/28.10  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.10  | | | | | | | | | | | | | | | | | |            #1678.
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | End of split
% 185.64/28.10  | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.10  | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | |   (1750)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.64/28.10  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.10  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.64/28.10  | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 185.64/28.10  | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 185.64/28.10  | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.10  | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 185.64/28.10  | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 185.64/28.10  | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 185.64/28.10  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 185.64/28.10  | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 185.64/28.10  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.10  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 185.64/28.10  | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 185.64/28.10  | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | BETA: splitting (1750) gives:
% 185.64/28.10  | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | |   (1751)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.64/28.10  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.64/28.10  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | BETA: splitting (1751) gives:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1752)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | ALPHA: (1752) implies:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1753)  op(e1, e1) = e2
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1043), (1753), (function-axioms) are
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1754)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | ALPHA: (1754) implies:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1755)   ~ (all_57_5 = e0)
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1756)  op(e0, e0) = e2
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1757)  op(e0, e2) = all_57_5
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1758)  op(e3, e2) = e3
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2, e2,
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |              e0, e0, simplifying with (51), (1756) gives:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1759)  all_14_2 = e2
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |              all_57_5, e2, e0, simplifying with (158), (1757)
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |              gives:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1760)  all_57_5 = all_52_7
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (1758) gives:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1761)  all_52_4 = e3
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | REDUCE: (1755), (1760) imply:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1762)   ~ (all_52_7 = e0)
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1761) imply:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1763)   ~ (all_52_7 = e3)
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | SIMP: (1763) implies:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |   (1764)   ~ (all_52_7 = e3)
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (248), (362), (1564), (1759), (1762),
% 185.64/28.10  | | | | | | | | | | | | | | | | | | |            (1764) are inconsistent by sub-proof #1320.
% 185.64/28.10  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.10  | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.10  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | |   (1765)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 185.64/28.11  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 185.64/28.11  | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 185.64/28.11  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1563), (1732), (1765), (function-axioms)
% 185.64/28.11  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1318.
% 185.64/28.11  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | End of split
% 185.64/28.11  | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | End of split
% 185.64/28.11  | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | Case 2:
% 185.64/28.11  | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | |   (1766)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.64/28.11  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.11  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.11  | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.11  | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 185.64/28.11  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.11  | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 185.64/28.11  | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.64/28.11  | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.64/28.11  | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 185.64/28.11  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 185.64/28.11  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.64/28.11  | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.64/28.11  | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 185.64/28.11  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 185.64/28.11  | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 185.64/28.11  | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 185.64/28.11  | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 185.64/28.11  | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 185.64/28.11  | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 185.64/28.11  | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 185.64/28.11  | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 185.64/28.11  | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.11  | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.11  | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.64/28.11  | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 185.64/28.11  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.64/28.11  | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.64/28.11  | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.64/28.11  | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 185.64/28.11  | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.64/28.11  | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.11  | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.11  | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 185.64/28.11  | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.11  | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.11  | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 185.64/28.11  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.11  | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.11  | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.11  | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 185.64/28.11  | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.11  | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.11  | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 185.64/28.11  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.11  | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.11  | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.11  | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 185.64/28.11  | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.11  | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.11  | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | BETA: splitting (1766) gives:
% 185.64/28.11  | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.11  | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | |   (1767)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.64/28.11  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.11  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.11  | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.11  | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 185.64/28.11  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.11  | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.11  | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.64/28.11  | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 185.64/28.11  | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.64/28.11  | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.64/28.11  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.64/28.11  | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 185.64/28.11  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 185.64/28.11  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.64/28.11  | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.64/28.11  | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.64/28.11  | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 185.64/28.11  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.11  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.11  | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 185.64/28.11  | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | BETA: splitting (1767) gives:
% 185.64/28.11  | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | |   (1768)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.64/28.11  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.11  | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 185.64/28.11  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | BETA: splitting (1768) gives:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |   (1769)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | ALPHA: (1769) implies:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |   (1770)  op(e0, e0) = e1
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (1770), (function-axioms) are
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1967.
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |   (1771)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | ALPHA: (1771) implies:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |   (1772)   ~ (all_57_12 = e1)
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |   (1773)  op(e2, e2) = all_57_12
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1567), (1772), (1773), (function-axioms) are
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1890.
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.11  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | |   (1774)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.64/28.11  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 185.64/28.11  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | BETA: splitting (1774) gives:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |   (1775)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | ALPHA: (1775) implies:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |   (1776)  op(e0, e0) = e1
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (1776), (function-axioms) are
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1967.
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |   (1777)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1567), (1738), (1777), (function-axioms) are
% 185.64/28.11  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1317.
% 185.64/28.11  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.11  | | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | | End of split
% 185.64/28.11  | | | | | | | | | | | | | | | | | 
% 185.64/28.11  | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.11  | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | |   (1778)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 185.64/28.12  | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.64/28.12  | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.64/28.12  | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 185.64/28.12  | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.64/28.12  | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.64/28.12  | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 185.64/28.12  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 185.64/28.12  | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 185.64/28.12  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 185.64/28.12  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.12  | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 185.64/28.12  | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 185.64/28.12  | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 185.64/28.12  | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 185.64/28.12  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 185.64/28.12  | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.12  | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 185.64/28.12  | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 185.64/28.12  | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.12  | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 185.64/28.12  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 185.64/28.12  | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.12  | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 185.64/28.12  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 185.64/28.12  | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.12  | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.12  | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | BETA: splitting (1778) gives:
% 185.64/28.12  | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.12  | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | |   (1779)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.64/28.12  | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 185.64/28.12  | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 185.64/28.12  | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1732), (1779), (function-axioms) are
% 185.64/28.12  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 185.64/28.12  | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.12  | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | |   (1780)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.12  | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.12  | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.12  | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | BETA: splitting (1780) gives:
% 185.64/28.12  | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |   (1781)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | ALPHA: (1781) implies:
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |   (1782)   ~ (all_57_13 = e1)
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |   (1783)  op(e1, e0) = all_57_13
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1738), (1782), (1783), (function-axioms) are
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |   (1784)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 185.64/28.12  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | BETA: splitting (1784) gives:
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |   (1785)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | | ALPHA: (1785) implies:
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |   (1786)   ~ (all_57_14 = e0)
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |   (1787)  op(e1, e1) = all_57_14
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1043), (1786), (1787), (function-axioms) are
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |   (1788)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.12  | | | | | | | | | | | | | | | | | | | | ALPHA: (1788) implies:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |   (1789)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (157), (1039), (1043), (1567),
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |            (1732), (1789), (function-axioms) are inconsistent
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1316.
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | Case 2:
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | |   (1790)  all_56_15 = e1 & op(e0, e0) = e1
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | ALPHA: (1790) implies:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1791)  op(e0, e0) = e1
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (1791), (function-axioms) are
% 185.64/28.13  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1967.
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | | 
% 185.64/28.13  | | | | | | | | End of split
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | Case 2:
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | |   (1792)  all_20_2 = e3
% 185.64/28.13  | | | | | | | |   (1793)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 185.64/28.13  | | | | | | | |             op(e1, e3) = all_20_1 & $i(all_20_0) & $i(all_20_1))
% 185.64/28.13  | | | | | | | |           | ( ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 185.64/28.13  | | | | | | | |             $i(all_20_1))
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | COMBINE_EQS: (325), (1792) imply:
% 185.64/28.13  | | | | | | | |   (1794)  all_10_2 = e3
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | SIMP: (1794) implies:
% 185.64/28.13  | | | | | | | |   (1795)  all_10_2 = e3
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | COMBINE_EQS: (331), (1795) imply:
% 185.64/28.13  | | | | | | | |   (1796)  all_30_2 = e3
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | REDUCE: (350), (1795) imply:
% 185.64/28.13  | | | | | | | |   (1797)   ~ (all_52_2 = e3)
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | REDUCE: (361), (1795) imply:
% 185.64/28.13  | | | | | | | |   (1798)   ~ (all_52_6 = e3)
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | REDUCE: (363), (1795) imply:
% 185.64/28.13  | | | | | | | |   (1799)   ~ (all_52_8 = e3)
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | REDUCE: (364), (1795) imply:
% 185.64/28.13  | | | | | | | |   (1800)   ~ (all_52_9 = e3)
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | REDUCE: (366), (1795) imply:
% 185.64/28.13  | | | | | | | |   (1801)   ~ (all_52_11 = e3)
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | REDUCE: (368), (1795) imply:
% 185.64/28.13  | | | | | | | |   (1802)   ~ (all_52_14 = e3)
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | REDUCE: (45), (1795) imply:
% 185.64/28.13  | | | | | | | |   (1803)  op(e1, e1) = e3
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | BETA: splitting (67) gives:
% 185.64/28.13  | | | | | | | | 
% 185.64/28.13  | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | 
% 185.64/28.13  | | | | | | | | |   (1804)   ~ (all_24_2 = e1)
% 185.64/28.13  | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | REDUCE: (318), (1804) imply:
% 185.64/28.13  | | | | | | | | |   (1805)   ~ (all_4_2 = e1)
% 185.64/28.13  | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | BETA: splitting (70) gives:
% 185.64/28.13  | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | |   (1806)   ~ (all_26_2 = e1)
% 185.64/28.13  | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | REDUCE: (307), (1806) imply:
% 185.64/28.13  | | | | | | | | | |   (1807)   ~ (all_6_2 = e1)
% 185.64/28.13  | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | BETA: splitting (204) gives:
% 185.64/28.13  | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | |   (1808)  all_54_0 = e3
% 185.64/28.13  | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | COMBINE_EQS: (279), (1808) imply:
% 185.64/28.13  | | | | | | | | | | |   (1809)  all_6_2 = e3
% 185.64/28.13  | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | REDUCE: (344), (1809) imply:
% 185.64/28.13  | | | | | | | | | | |   (1810)   ~ (all_52_4 = e3)
% 185.64/28.13  | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | REDUCE: (348), (1809) imply:
% 185.64/28.13  | | | | | | | | | | |   (1811)   ~ (all_52_12 = e3)
% 185.64/28.13  | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | REDUCE: (39), (1809) imply:
% 185.64/28.13  | | | | | | | | | | |   (1812)  op(e3, e3) = e3
% 185.64/28.13  | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | BETA: splitting (228) gives:
% 185.64/28.13  | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | |   (1813)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.64/28.13  | | | | | | | | | | | |             & op(e2, e2) = e3)
% 185.64/28.13  | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (1810), (1813),
% 185.64/28.13  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.13  | | | | | | | | | | | |            #1790.
% 185.64/28.13  | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | Case 2:
% 185.64/28.13  | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | |   (1814)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 185.64/28.13  | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 185.64/28.13  | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | BETA: splitting (1814) gives:
% 185.64/28.13  | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | |   (1815)  all_56_7 = e3 & op(e1, e2) = e3
% 185.64/28.13  | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | ALPHA: (1815) implies:
% 185.64/28.13  | | | | | | | | | | | | |   (1816)  op(e1, e2) = e3
% 185.64/28.13  | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | REF_CLOSE: (162), (1798), (1816), (function-axioms) are
% 185.64/28.13  | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 185.64/28.13  | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | Case 2:
% 185.64/28.13  | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | |   (1817)  all_56_13 = e3 & op(e0, e2) = e3
% 185.64/28.13  | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | ALPHA: (1817) implies:
% 185.64/28.13  | | | | | | | | | | | | |   (1818)  all_56_13 = e3
% 185.64/28.13  | | | | | | | | | | | | |   (1819)  op(e0, e2) = e3
% 185.64/28.13  | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | BETA: splitting (212) gives:
% 185.64/28.13  | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | |   (1820)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.64/28.13  | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 185.64/28.13  | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | BETA: splitting (1820) gives:
% 185.64/28.13  | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | |   (1821)  all_56_9 = e3 & op(e3, e0) = e3
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | ALPHA: (1821) implies:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1822)  op(e3, e0) = e3
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | REF_CLOSE: (168), (1811), (1822), (function-axioms) are
% 185.64/28.13  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | Case 2:
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | |   (1823)  all_56_10 = e3 & op(e2, e0) = e3
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | ALPHA: (1823) implies:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1824)  all_56_10 = e3
% 185.64/28.13  | | | | | | | | | | | | | | |   (1825)  op(e2, e0) = e3
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 185.64/28.13  | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (1819) gives:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1826)  all_52_7 = e3
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 185.64/28.13  | | | | | | | | | | | | | | |              e3, e0, e2, simplifying with (164), (1825) gives:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1827)  all_52_13 = e3
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | REDUCE: (145), (1827) imply:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1828)   ~ (all_52_1 = e3)
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | REDUCE: (140), (1826) imply:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1829)   ~ (all_52_3 = e3)
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | REDUCE: (125), (1826) imply:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1830)   ~ (all_52_11 = e3)
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | REDUCE: (110), (1827) imply:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1831)   ~ (all_52_14 = e3)
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | REDUCE: (371), (1827) imply:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1832)   ~ (all_14_2 = e3)
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | REDUCE: (360), (1827) imply:
% 185.64/28.13  | | | | | | | | | | | | | | |   (1833)   ~ (all_4_2 = e3)
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 185.64/28.13  | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | |   (1834)   ~ (all_28_2 = e2)
% 185.64/28.13  | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | REDUCE: (330), (1834) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | |   (1835)   ~ (all_14_2 = e2)
% 185.64/28.13  | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 185.64/28.13  | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | |   (1836)  all_54_15 = e3
% 185.64/28.13  | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1836) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | |   (1837)  all_14_2 = e3
% 185.64/28.13  | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | REDUCE: (380), (1837) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | |   (1838)  $false
% 185.64/28.13  | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | CLOSE: (1838) is inconsistent.
% 185.64/28.13  | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.13  | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | |   (1839)   ~ (all_54_15 = e3)
% 185.64/28.13  | | | | | | | | | | | | | | | | |   (1840)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.64/28.13  | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 185.64/28.13  | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | |   (1841)  all_54_15 = e2
% 185.64/28.13  | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1841) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | |   (1842)  all_14_2 = e2
% 185.64/28.13  | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | REDUCE: (1835), (1842) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | |   (1843)  $false
% 185.64/28.13  | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | CLOSE: (1843) is inconsistent.
% 185.64/28.13  | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | |   (1844)   ~ (all_54_15 = e2)
% 185.64/28.13  | | | | | | | | | | | | | | | | | |   (1845)  all_54_15 = e1 | all_54_15 = e0
% 185.64/28.13  | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | BETA: splitting (1845) gives:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1846)  all_54_15 = e1
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1846) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1847)  all_14_2 = e1
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (378), (1847) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1848)  $false
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | CLOSE: (1848) is inconsistent.
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1849)  all_54_15 = e0
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1849) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1850)  all_14_2 = e0
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (351), (1850) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1851)   ~ (all_52_3 = e0)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (369), (1850) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1852)   ~ (all_52_11 = e0)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (370), (1850) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1853)   ~ (all_52_12 = e0)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (372), (1850) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1854)   ~ (all_52_14 = e0)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (380), (1850) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1855)   ~ (e3 = e0)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (1835), (1850) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1856)   ~ (e2 = e0)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (378), (1850) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1857)   ~ (e1 = e0)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1850) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | |   (1858)  op(e0, e0) = e0
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |   (1859)   ~ (all_30_2 = e3)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | REDUCE: (1796), (1859) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |   (1860)  $false
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | CLOSE: (1860) is inconsistent.
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |   (1861)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | |             = all_30_1 & $i(all_30_1))
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | |   (1862)   ~ (all_32_2 = e0)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (1862) imply:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | |   (1863)   ~ (all_4_2 = e0)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | |   (1864)  all_54_5 = e3
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (1864) are inconsistent by sub-proof
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | |            #1948.
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | |   (1865)   ~ (all_54_5 = e3)
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | |   (1866)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |   (1867)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1867) gives:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |   (1868)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1868) gives:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (1869)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1869) gives:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1870)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1870) implies:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1871)  op(e2, e3) = e2
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (1805), (1863), (1866),
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1871), (function-axioms) are inconsistent by
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1315.
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1872)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1872) implies:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1873)  op(e0, e0) = e3
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (380), (1845), (1873),
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1647.
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (1874)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (246), (373), (378), (380), (1845),
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (1874), (function-axioms) are inconsistent by
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1314.
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |   (1875)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (36), (170), (1805), (1810), (1812),
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |            (1858), (1875), (function-axioms) are inconsistent
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1313.
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |   (1876)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1876) gives:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |   (1877)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1877) gives:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (1878)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (1812), (1858), (1878),
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |            #1312.
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (1879)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (1811), (1858), (1879),
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |            #1828.
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |   (1880)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1880) gives:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (1881)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1812), (1881), (function-axioms) are
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (1882)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1882) gives:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1883)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1883) implies:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1884)  op(e1, e1) = e0
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1885)  op(e2, e0) = e2
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (168), (170),
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (218), (219), (220), (230), (268), (352),
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (360), (373), (1805), (1812), (1853), (1884),
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1885), (function-axioms) are inconsistent by
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1638.
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1886)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1887)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1887) implies:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1888)  op(e2, e2) = e0
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (268), (1805), (1863), (1866), (1888),
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1938.
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1889)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1889) implies:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1890)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1890) gives:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1891)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (159), (373), (1812), (1851), (1891),
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1310.
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1892)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1892) gives:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1893)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1893) implies:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1894)  op(e1, e1) = e2
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (1894), (function-axioms) are
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1895)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (1805), (1812), (1895),
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1954.
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | |   (1896)  all_32_2 = e0
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | |   (1897)  ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e0) = all_32_1 & $i(all_32_0) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | |             $i(all_32_1)) | ( ~ (all_32_1 = e1) & op(e2, e0)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | |             = all_32_1 & $i(all_32_1))
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (1896) imply:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | |   (1898)  all_4_2 = e0
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (1898) imply:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | |   (1899)  all_36_2 = e0
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (1898) imply:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | |   (1900)   ~ (all_52_6 = e0)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1898) imply:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | |   (1901)  op(e2, e2) = e0
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | |   (1902)   ~ (all_36_2 = e0)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1899), (1902) imply:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | |   (1903)  $false
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1903) is inconsistent.
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | |   (1904)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | |             $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | |             = all_36_1 & $i(all_36_1))
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1897) gives:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | |   (1905)   ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_32_1 & $i(all_32_0) &
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_32_1)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1905) implies:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | |   (1906)  op(e2, e0) = all_32_1
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | |   (1907)  op(all_32_1, e2) = all_32_0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | |   (1908)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227),
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | |            (1812), (1818), (1901), (1908), (function-axioms)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1307.
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | |   (1909)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1909) gives:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (1910)  all_56_4 = e0 & op(e3, e1) = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1910) implies:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (1911)  all_56_4 = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (1912)  op(e3, e1) = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1913)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1913) gives:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1914)  all_56_6 = e0 & op(e1, e3) = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1914) implies:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1915)  all_56_6 = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1916)  op(e1, e3) = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (1916) gives:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1917)  all_52_2 = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e2, simplifying with (1825), (1906) gives:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1918)  all_32_1 = e3
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (1912) gives:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1919)  all_52_8 = e0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1917) imply:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1920)   ~ (all_52_3 = e0)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1919) imply:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1921)   ~ (all_52_4 = e0)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1919) imply:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1922)   ~ (all_52_9 = e0)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1922) implies:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1923)   ~ (all_52_9 = e0)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1919) imply:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1924)   ~ (all_52_11 = e0)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1919) imply:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1925)   ~ (all_52_12 = e0)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1907), (1918) imply:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1926)  op(e3, e2) = all_32_0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1904) gives:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1927)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_36_1 & $i(all_36_0) &
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_36_1)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1927) implies:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1928)   ~ (all_36_0 = e1)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1929)  op(e2, e0) = all_36_1
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1930)  op(all_36_1, e2) = all_36_0
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1793) gives:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1931)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e3) = all_20_1 & $i(all_20_0) &
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_20_1)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1931) implies:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1932)  op(e1, e3) = all_20_1
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (51), (112), (118), (133),
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (146), (157), (159), (160), (167), (168),
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (190), (198), (201), (203), (210),
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (226), (227), (231), (234), (236), (238),
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (261), (270), (272), (373), (378),
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (380), (1799), (1800), (1801), (1810), (1811),
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1812), (1818), (1824), (1825), (1845), (1851),
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1852), (1853), (1858), (1861), (1901), (1911),
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1915), (1916), (1921), (1923), (1926), (1928),
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1929), (1930), (1932), (function-axioms) are
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1287.
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1933)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_20_1)
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1933) implies:
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1934)  op(e1, e3) = all_20_1
% 185.64/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (51), (112), (118), (133),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (146), (157), (159), (160), (167), (168),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (190), (198), (201), (203), (210),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (226), (227), (231), (234), (236), (238),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (261), (270), (272), (373), (378),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (380), (1799), (1800), (1801), (1810), (1811),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1812), (1818), (1824), (1825), (1845), (1851),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1852), (1853), (1858), (1861), (1901), (1911),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1915), (1916), (1921), (1923), (1926), (1928),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1929), (1930), (1934), (function-axioms) are
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1287.
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1935)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_36_1)
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1825), (1935), (function-axioms) are inconsistent
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1708.
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1936)  all_56_7 = e0 & op(e1, e2) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1936) implies:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1937)  all_56_7 = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (226), (227),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (373), (1818), (1901), (1937),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1282.
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1938)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1938) gives:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1939)  all_56_8 = e0 & op(e1, e1) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1939) implies:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1940)  op(e1, e1) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (136), (157), (158), (160), (162), (164),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (199), (204), (206),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (209), (210), (211), (212), (213),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (217), (218), (219), (220),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (222), (223), (224), (225), (226), (227),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (246), (268), (279), (330), (344),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (346), (348), (352), (354), (360), (370), (371),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (374), (377), (378), (380), (1805), (1807),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1852), (1854), (1900), (1940), (function-axioms)
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1489.
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1941)  all_56_11 = e0 & op(e1, e0) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1941) implies:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1942)  op(e1, e0) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1854), (1942), (function-axioms) are
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (1943)  all_56_9 = e0 & op(e3, e0) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1943) implies:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (1944)  op(e3, e0) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1853), (1944), (function-axioms) are
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | |   (1945)   ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 &
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_32_1)
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1945) implies:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | |   (1946)   ~ (all_32_1 = e1)
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | |   (1947)  op(e2, e0) = all_32_1
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | |   (1948)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227),
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | |            (1812), (1818), (1901), (1948), (function-axioms)
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1307.
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | |   (1949)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1949) gives:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (1950)  all_56_4 = e0 & op(e3, e1) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1950) implies:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (1951)  all_56_4 = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (1952)  op(e3, e1) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1953)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1953) gives:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1954)  all_56_0 = e0 & op(e3, e3) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1954) implies:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1955)  op(e3, e3) = e0
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1812), (1955), (function-axioms) are
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1956)  all_56_2 = e0 & op(e2, e3) = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1956) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1957)  all_56_2 = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1958)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1901), (1957), (1958), (function-axioms) are
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1712.
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1959)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1959) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1960)  all_56_5 = e1 & op(e2, e1) = e1
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1960) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1961)  all_56_5 = e1
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (85), (223), (224),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (1899), (1901), (1957), (1961),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1703.
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1962)  all_56_10 = e1 & op(e2, e0) = e1
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1962) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1963)  op(e2, e0) = e1
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1946), (1947), (1963), (function-axioms) are
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1800.
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1964)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1964) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1965)  all_56_6 = e0 & op(e1, e3) = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1965) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1966)  all_56_6 = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1967)  op(e1, e3) = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (1967) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1968)  all_52_2 = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e2, simplifying with (1825), (1947) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1969)  all_32_1 = e3
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (1952) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1970)  all_52_8 = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1968) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1971)   ~ (all_52_3 = e0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1970) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1972)   ~ (all_52_4 = e0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1970) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1973)   ~ (all_52_9 = e0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1973) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1974)   ~ (all_52_9 = e0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1970) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1975)   ~ (all_52_11 = e0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1970) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1976)   ~ (all_52_12 = e0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1904) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1977)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_36_1 & $i(all_36_0) &
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_36_1)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1977) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1978)   ~ (all_36_0 = e1)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1979)  op(e2, e0) = all_36_1
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1980)  op(all_36_1, e2) = all_36_0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1793) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1981)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e3) = all_20_1 & $i(all_20_0) &
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_20_1)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1981) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1982)  op(e1, e3) = all_20_1
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (51), (112), (118), (133),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (146), (157), (159), (160), (167), (168),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (190), (198), (201), (203), (210),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (226), (227), (231), (234), (236), (238),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (261), (270), (272), (373), (378),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (380), (1799), (1800), (1801), (1810), (1811),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1812), (1818), (1824), (1825), (1845), (1851),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1852), (1853), (1858), (1861), (1901), (1951),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1966), (1967), (1972), (1974), (1978), (1979),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1980), (1982), (function-axioms) are inconsistent
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1280.
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1983)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_20_1)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1983) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1984)  op(e1, e3) = all_20_1
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (51), (112), (118), (133),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (146), (157), (159), (160), (167), (168),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (190), (198), (201), (203), (210),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (226), (227), (231), (234), (236), (238),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (261), (270), (272), (373), (378),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (380), (1799), (1800), (1801), (1810), (1811),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1812), (1818), (1824), (1825), (1845), (1851),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1852), (1853), (1858), (1861), (1901), (1951),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1966), (1967), (1972), (1974), (1978), (1979),
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1980), (1984), (function-axioms) are inconsistent
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1280.
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1985)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_36_1)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1825), (1985), (function-axioms) are inconsistent
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1708.
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1986)  all_56_12 = e0 & op(e0, e3) = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1986) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1987)  op(e0, e3) = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1851), (1987), (function-axioms) are
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (1988)  all_56_9 = e0 & op(e3, e0) = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1988) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (1989)  op(e3, e0) = e0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1853), (1989), (function-axioms) are
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | End of split
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | |   (1990)  all_28_2 = e2
% 186.05/28.18  | | | | | | | | | | | | | | | |   (1991)  ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 186.05/28.18  | | | | | | | | | | | | | | | |             & op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.05/28.18  | | | | | | | | | | | | | | | |             $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2)
% 186.05/28.18  | | | | | | | | | | | | | | | |             = all_28_1 & $i(all_28_1))
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (1990) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | |   (1992)  all_14_2 = e2
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | SIMP: (1992) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | |   (1993)  all_14_2 = e2
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (1993) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | |   (1994)  all_50_2 = e2
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | REDUCE: (351), (1993) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | |   (1995)   ~ (all_52_3 = e2)
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | REDUCE: (370), (1993) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | |   (1996)   ~ (all_52_12 = e2)
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | REDUCE: (372), (1993) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | |   (1997)   ~ (all_52_14 = e2)
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | REDUCE: (380), (1993) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | |   (1998)   ~ (e3 = e2)
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | REDUCE: (51), (1993) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | |   (1999)  op(e0, e0) = e2
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18  | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | |   (2000)   ~ (all_50_2 = e2)
% 186.05/28.18  | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | REDUCE: (1994), (2000) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | |   (2001)  $false
% 186.05/28.18  | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | CLOSE: (2001) is inconsistent.
% 186.05/28.18  | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.18  | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | |   (2002)  ( ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0
% 186.05/28.18  | | | | | | | | | | | | | | | | |             & op(e0, e2) = all_50_1 & $i(all_50_0) &
% 186.05/28.18  | | | | | | | | | | | | | | | | |             $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e0, e2)
% 186.05/28.18  | | | | | | | | | | | | | | | | |             = all_50_1 & $i(all_50_1))
% 186.05/28.18  | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | BETA: splitting (2002) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | |   (2003)   ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0 &
% 186.05/28.18  | | | | | | | | | | | | | | | | | |           op(e0, e2) = all_50_1 & $i(all_50_0) &
% 186.05/28.18  | | | | | | | | | | | | | | | | | |           $i(all_50_1)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | ALPHA: (2003) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | |   (2004)  op(e0, e2) = all_50_1
% 186.05/28.18  | | | | | | | | | | | | | | | | | |   (2005)  op(all_50_1, e0) = all_50_0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 186.05/28.18  | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (1819), (2004) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | |   (2006)  all_50_1 = e3
% 186.05/28.18  | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | REDUCE: (2005), (2006) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | |   (2007)  op(e3, e0) = all_50_0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | BETA: splitting (1991) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2008)   ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |           op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |           $i(all_28_1)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | ALPHA: (2008) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2009)   ~ (all_28_0 = e1)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2010)  op(e0, e2) = all_28_1
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2011)  op(all_28_1, e0) = all_28_0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (1819), (2010) gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2012)  all_28_1 = e3
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |              all_50_0, e0, e3, simplifying with (168), (2007)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |              gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2013)  all_52_12 = all_50_0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2013) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2014)  all_54_3 = all_50_0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2013) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2015)   ~ (all_52_4 = all_50_0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2013) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2016)   ~ (all_52_8 = all_50_0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2013) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2017)   ~ (all_52_14 = all_50_0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | SIMP: (2017) implies:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2018)   ~ (all_52_14 = all_50_0)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | REDUCE: (1811), (2013) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2019)   ~ (all_50_0 = e3)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | REDUCE: (1996), (2013) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2020)   ~ (all_50_0 = e2)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | REDUCE: (2011), (2012) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2021)  op(e3, e0) = all_28_0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_50_0,
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |              all_28_0, e0, e3, simplifying with (2007), (2021)
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |              gives:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2022)  all_50_0 = all_28_0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2014), (2022) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2023)  all_54_3 = all_28_0
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.18  | | | | | | | | | | | | | | | | | | | REDUCE: (2015), (2022) imply:
% 186.05/28.18  | | | | | | | | | | | | | | | | | | |   (2024)   ~ (all_52_4 = all_28_0)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | REDUCE: (2016), (2022) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | |   (2025)   ~ (all_52_8 = all_28_0)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | REDUCE: (2018), (2022) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | |   (2026)   ~ (all_52_14 = all_28_0)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | REDUCE: (2019), (2022) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | |   (2027)   ~ (all_28_0 = e3)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | REDUCE: (2020), (2022) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | |   (2028)   ~ (all_28_0 = e2)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | |   (2029)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2029) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |   (2030)  all_56_9 = e1 & op(e3, e0) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2030) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |   (2031)  all_56_9 = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (201), (206), (1824),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |            (1999), (2009), (2023), (2026), (2027), (2028),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |            (2031), (function-axioms) are inconsistent by
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1278.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |   (2032)  all_56_10 = e1 & op(e2, e0) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1824), (2032) are inconsistent by sub-proof
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |            #1539.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | |   (2033)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2033) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |   (2034)  all_56_11 = e1 & op(e1, e0) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2034) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |   (2035)  all_56_11 = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |   (2036)  all_56_15 = e0 & op(e0, e0) = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2036) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |   (2037)  op(e0, e0) = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1999), (2037), (function-axioms) are
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |   (2038)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2038) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |   (2039)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2039) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (2040)  all_56_9 = e0 & op(e3, e0) = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2040) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (2041)  all_56_9 = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | |   (2042)  all_54_3 = e3
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2042) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | |   (2043)  all_28_0 = e3
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2027), (2043) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | |   (2044)  $false
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2044) is inconsistent.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | |   (2045)   ~ (all_54_3 = e3)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | |   (2046)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2046) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (2047)  all_54_3 = e2
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2047) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (2048)  all_28_0 = e2
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2028), (2048) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (2049)  $false
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2049) is inconsistent.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (2050)   ~ (all_54_3 = e2)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (2051)  all_54_3 = e1 | all_54_3 = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2051) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2052)  all_54_3 = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2052) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2053)  all_28_0 = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2009), (2053) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2054)  $false
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2054) is inconsistent.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2055)  all_54_3 = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2055) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2056)  all_28_0 = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2024), (2056) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2057)   ~ (all_52_4 = e0)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2056) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2058)   ~ (all_52_8 = e0)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2026), (2056) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2059)   ~ (all_52_14 = e0)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2027), (2056) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2060)   ~ (e3 = e0)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2028), (2056) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2061)   ~ (e2 = e0)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2062)  all_54_11 = e3
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1802), (2062) are inconsistent by
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1277.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2063)   ~ (all_54_11 = e3)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2064)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2064) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2065)  all_54_11 = e2
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1997), (2065) are inconsistent by
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2066)   ~ (all_54_11 = e2)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2067)  all_54_11 = e1 | all_54_11 = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2067) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2068)  all_54_11 = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (2068) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2069)  all_52_14 = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2069) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2070)  all_52_14 = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2070) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2071)   ~ (all_52_2 = e1)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (2070) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2072)   ~ (all_52_6 = e1)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1802), (2070) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2073)   ~ (e3 = e1)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1997), (2070) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2074)   ~ (e2 = e1)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (2070) imply:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2075)  op(e1, e0) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2076)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2076) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2077)  all_56_1 = e1 & op(e3, e2) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2077) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2078)  all_56_1 = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2079)  op(e3, e2) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (36), (76), (85), (118),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (123), (134), (136), (139), (141), (146),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (149), (157), (159), (160), (162), (163), (167),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (190), (196), (198), (199),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (200), (215), (216), (217), (225), (234), (238),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (247), (259), (261), (268), (269), (309),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (352), (358), (373), (1793), (1796),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1797), (1798), (1799), (1800), (1801), (1802),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1803), (1810), (1811), (1812), (1819), (1825),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1828), (1829), (1995), (1999), (2010), (2035),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2041), (2057), (2058), (2059), (2071), (2075),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2078), (2079), (function-axioms) are inconsistent
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1253.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2080)  all_56_3 = e1 & op(e2, e2) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2080) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2081)  op(e2, e2) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (1805), (2081), (function-axioms) are
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2082)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2082) gives:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2083)  all_56_7 = e1 & op(e1, e2) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2083) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2084)  op(e1, e2) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2072), (2084), (function-axioms) are
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2085)  all_56_13 = e1 & op(e0, e2) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2085) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2086)  all_56_13 = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1818), (2086) are inconsistent by sub-proof
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1864.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2087)  all_54_11 = e0
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2059), (2087) are inconsistent by
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (2088)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (201), (1824), (2009), (2023), (2026),
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | |            (2027), (2028), (2088), (function-axioms) are
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |   (2089)  all_56_15 = e1 & op(e0, e0) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2089) implies:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |   (2090)  op(e0, e0) = e1
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1999), (2090), (function-axioms) are
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.19  | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.19  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2091)   ~ (all_28_1 = e3) & op(e0, e2) = all_28_1 &
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |           $i(all_28_1)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1819), (2091), (function-axioms) are inconsistent
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |            by sub-proof #1251.
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.20  | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | |   (2092)   ~ (all_50_1 = e1) & op(e0, e2) = all_50_1 &
% 186.05/28.20  | | | | | | | | | | | | | | | | | |           $i(all_50_1)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | ALPHA: (2092) implies:
% 186.05/28.20  | | | | | | | | | | | | | | | | | |   (2093)   ~ (all_50_1 = e1)
% 186.05/28.20  | | | | | | | | | | | | | | | | | |   (2094)  op(e0, e2) = all_50_1
% 186.05/28.20  | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 186.05/28.20  | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (1819), (2094) gives:
% 186.05/28.20  | | | | | | | | | | | | | | | | | |   (2095)  all_50_1 = e3
% 186.05/28.20  | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | BETA: splitting (1991) gives:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2096)   ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |           op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |           $i(all_28_1)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | ALPHA: (2096) implies:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2097)   ~ (all_28_0 = e1)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2098)  op(e0, e2) = all_28_1
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2099)  op(all_28_1, e0) = all_28_0
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (1819), (2098) gives:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2100)  all_28_1 = e3
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | REDUCE: (2099), (2100) imply:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2101)  op(e3, e0) = all_28_0
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |              all_28_0, e0, e3, simplifying with (168), (2101)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |              gives:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2102)  all_52_12 = all_28_0
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2102) imply:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2103)  all_54_3 = all_28_0
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2102) imply:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2104)   ~ (all_52_4 = all_28_0)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2102) imply:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2105)   ~ (all_52_8 = all_28_0)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2102) imply:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2106)   ~ (all_52_14 = all_28_0)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | SIMP: (2106) implies:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2107)   ~ (all_52_14 = all_28_0)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | REDUCE: (1811), (2102) imply:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2108)   ~ (all_28_0 = e3)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | REDUCE: (1996), (2102) imply:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | |   (2109)   ~ (all_28_0 = e2)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | |   (2110)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2110) gives:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | |   (2111)  all_56_9 = e1 & op(e3, e0) = e1
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2111) implies:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | |   (2112)  all_56_9 = e1
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (201), (206), (1824),
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | |            (1999), (2097), (2103), (2107), (2108), (2109),
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | |            (2112), (function-axioms) are inconsistent by
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1278.
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | |   (2113)  all_56_10 = e1 & op(e2, e0) = e1
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1824), (2113) are inconsistent by sub-proof
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | |            #1539.
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | End of split
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | 
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.05/28.20  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | |   (2114)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2114) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | |   (2115)  all_56_11 = e1 & op(e1, e0) = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2115) implies:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | |   (2116)  all_56_11 = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |   (2117)  all_56_15 = e0 & op(e0, e0) = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2117) implies:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |   (2118)  op(e0, e0) = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1999), (2118), (function-axioms) are
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |   (2119)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2119) implies:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |   (2120)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2120) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | |   (2121)  all_56_9 = e0 & op(e3, e0) = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2121) implies:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | |   (2122)  all_56_9 = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | |   (2123)  all_54_3 = e3
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2103), (2123) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | |   (2124)  all_28_0 = e3
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2108), (2124) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | |   (2125)  $false
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2125) is inconsistent.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | |   (2126)   ~ (all_54_3 = e3)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | |   (2127)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2127) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (2128)  all_54_3 = e2
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2103), (2128) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (2129)  all_28_0 = e2
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2109), (2129) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (2130)  $false
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2130) is inconsistent.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (2131)   ~ (all_54_3 = e2)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (2132)  all_54_3 = e1 | all_54_3 = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2133)  all_54_3 = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2103), (2133) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2134)  all_28_0 = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2097), (2134) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2135)  $false
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2135) is inconsistent.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2136)  all_54_3 = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2103), (2136) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2137)  all_28_0 = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2104), (2137) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2138)   ~ (all_52_4 = e0)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2105), (2137) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2139)   ~ (all_52_8 = e0)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2107), (2137) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2140)   ~ (all_52_14 = e0)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2108), (2137) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2141)   ~ (e3 = e0)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2109), (2137) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2142)   ~ (e2 = e0)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2143)  all_54_11 = e3
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1802), (2143) are inconsistent by
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1277.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2144)   ~ (all_54_11 = e3)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2145)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2145) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2146)  all_54_11 = e2
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1997), (2146) are inconsistent by
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2147)   ~ (all_54_11 = e2)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2148)  all_54_11 = e1 | all_54_11 = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2148) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2149)  all_54_11 = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (2149) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2150)  all_52_14 = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2150) implies:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2151)  all_52_14 = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2151) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2152)   ~ (all_52_2 = e1)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (2151) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2153)   ~ (all_52_6 = e1)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1997), (2151) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2154)   ~ (e2 = e1)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (2151) imply:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2155)  op(e1, e0) = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2156)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2156) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2157)  all_56_1 = e1 & op(e3, e2) = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2157) implies:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2158)  all_56_1 = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2159)  op(e3, e2) = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (36), (76), (85), (118),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (123), (134), (136), (139), (141), (146),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (149), (157), (159), (160), (162), (163), (167),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (190), (196), (198), (199),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (200), (215), (216), (217), (225), (234), (238),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (247), (259), (261), (268), (269), (309),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (352), (358), (373), (1793), (1796),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1797), (1798), (1799), (1800), (1801), (1802),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1803), (1810), (1811), (1812), (1819), (1825),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1828), (1829), (1995), (1999), (2098), (2116),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2122), (2138), (2139), (2140), (2152), (2155),
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2159), (function-axioms) are inconsistent
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1253.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2160)  all_56_3 = e1 & op(e2, e2) = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2160) implies:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2161)  op(e2, e2) = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (1805), (2161), (function-axioms) are
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2162)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2162) gives:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2163)  all_56_7 = e1 & op(e1, e2) = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2163) implies:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2164)  op(e1, e2) = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2153), (2164), (function-axioms) are
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2165)  all_56_13 = e1 & op(e0, e2) = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2165) implies:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2166)  op(e0, e2) = e1
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2093), (2094), (2166), (function-axioms) are
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1250.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2167)  all_54_11 = e0
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2140), (2167) are inconsistent by
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |   (2168)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (201), (1824), (2097), (2103), (2107),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (2108), (2109), (2168), (function-axioms) are
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | |   (2169)  all_56_15 = e1 & op(e0, e0) = e1
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2169) implies:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | |   (2170)  op(e0, e0) = e1
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1999), (2170), (function-axioms) are
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | |   (2171)   ~ (all_28_1 = e3) & op(e0, e2) = all_28_1 &
% 186.16/28.21  | | | | | | | | | | | | | | | | | | |           $i(all_28_1)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | ALPHA: (2171) implies:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | |   (2172)   ~ (all_28_1 = e3)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | |   (2173)  op(e0, e2) = all_28_1
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 186.16/28.21  | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (1819), (2173) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | |   (2174)  all_28_1 = e3
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | REDUCE: (2172), (2174) imply:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | |   (2175)  $false
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | CLOSE: (2175) is inconsistent.
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | |   (2176)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 186.16/28.21  | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (380), (1802), (2176),
% 186.16/28.21  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.16/28.21  | | | | | | | | | | | | | |            #1249.
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | |   (2177)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.16/28.21  | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (1807), (2177) are
% 186.16/28.21  | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 186.16/28.21  | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | |   (2178)  all_26_2 = e1
% 186.16/28.21  | | | | | | | | | |   (2179)  ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0
% 186.16/28.21  | | | | | | | | | |             & op(e3, e1) = all_26_1 & $i(all_26_0) &
% 186.16/28.21  | | | | | | | | | |             $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3, e1)
% 186.16/28.21  | | | | | | | | | |             = all_26_1 & $i(all_26_1))
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | COMBINE_EQS: (307), (2178) imply:
% 186.16/28.21  | | | | | | | | | |   (2180)  all_6_2 = e1
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | COMBINE_EQS: (303), (2180) imply:
% 186.16/28.21  | | | | | | | | | |   (2181)  all_42_2 = e1
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | REDUCE: (338), (2180) imply:
% 186.16/28.21  | | | | | | | | | |   (2182)   ~ (all_52_1 = e1)
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | REDUCE: (340), (2180) imply:
% 186.16/28.21  | | | | | | | | | |   (2183)   ~ (all_52_2 = e1)
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | REDUCE: (342), (2180) imply:
% 186.16/28.21  | | | | | | | | | |   (2184)   ~ (all_52_3 = e1)
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | REDUCE: (344), (2180) imply:
% 186.16/28.21  | | | | | | | | | |   (2185)   ~ (all_52_4 = e1)
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | REDUCE: (346), (2180) imply:
% 186.16/28.21  | | | | | | | | | |   (2186)   ~ (all_52_8 = e1)
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | REDUCE: (348), (2180) imply:
% 186.16/28.21  | | | | | | | | | |   (2187)   ~ (all_52_12 = e1)
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | REDUCE: (377), (2180) imply:
% 186.16/28.21  | | | | | | | | | |   (2188)   ~ (e2 = e1)
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | REDUCE: (39), (2180) imply:
% 186.16/28.21  | | | | | | | | | |   (2189)  op(e3, e3) = e1
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | BETA: splitting (73) gives:
% 186.16/28.21  | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | |   (2190)   ~ (all_28_2 = e2)
% 186.16/28.21  | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | REDUCE: (330), (2190) imply:
% 186.16/28.21  | | | | | | | | | | |   (2191)   ~ (all_14_2 = e2)
% 186.16/28.21  | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | BETA: splitting (189) gives:
% 186.16/28.21  | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | |   (2192)  all_54_15 = e3
% 186.16/28.21  | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | REF_CLOSE: (246), (380), (2192) are inconsistent by sub-proof
% 186.16/28.21  | | | | | | | | | | | |            #1675.
% 186.16/28.21  | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | |   (2193)   ~ (all_54_15 = e3)
% 186.16/28.21  | | | | | | | | | | | |   (2194)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.16/28.21  | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | BETA: splitting (2194) gives:
% 186.16/28.21  | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | |   (2195)  all_54_15 = e2
% 186.16/28.21  | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | REF_CLOSE: (246), (2191), (2195) are inconsistent by
% 186.16/28.21  | | | | | | | | | | | | |            sub-proof #1648.
% 186.16/28.21  | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | |   (2196)   ~ (all_54_15 = e2)
% 186.16/28.21  | | | | | | | | | | | | |   (2197)  all_54_15 = e1 | all_54_15 = e0
% 186.16/28.21  | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | BETA: splitting (2197) gives:
% 186.16/28.21  | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | |   (2198)  all_54_15 = e1
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (2198) are inconsistent by sub-proof
% 186.16/28.21  | | | | | | | | | | | | | |            #1660.
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | |   (2199)  all_54_15 = e0
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | COMBINE_EQS: (246), (2199) imply:
% 186.16/28.21  | | | | | | | | | | | | | |   (2200)  all_14_2 = e0
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | SIMP: (2200) implies:
% 186.16/28.21  | | | | | | | | | | | | | |   (2201)  all_14_2 = e0
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | REDUCE: (351), (2201) imply:
% 186.16/28.21  | | | | | | | | | | | | | |   (2202)   ~ (all_52_3 = e0)
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | REDUCE: (369), (2201) imply:
% 186.16/28.21  | | | | | | | | | | | | | |   (2203)   ~ (all_52_11 = e0)
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | REDUCE: (371), (2201) imply:
% 186.16/28.21  | | | | | | | | | | | | | |   (2204)   ~ (all_52_13 = e0)
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | REDUCE: (372), (2201) imply:
% 186.16/28.21  | | | | | | | | | | | | | |   (2205)   ~ (all_52_14 = e0)
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | REDUCE: (380), (2201) imply:
% 186.16/28.21  | | | | | | | | | | | | | |   (2206)   ~ (e3 = e0)
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | REDUCE: (2191), (2201) imply:
% 186.16/28.21  | | | | | | | | | | | | | |   (2207)   ~ (e2 = e0)
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | REDUCE: (378), (2201) imply:
% 186.16/28.21  | | | | | | | | | | | | | |   (2208)   ~ (e1 = e0)
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | REDUCE: (51), (2201) imply:
% 186.16/28.21  | | | | | | | | | | | | | |   (2209)  op(e0, e0) = e0
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 186.16/28.21  | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | |   (2210)   ~ (all_30_2 = e3)
% 186.16/28.21  | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | REDUCE: (1796), (2210) imply:
% 186.16/28.21  | | | | | | | | | | | | | | |   (2211)  $false
% 186.16/28.21  | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | CLOSE: (2211) is inconsistent.
% 186.16/28.21  | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | |   (2212)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 186.16/28.21  | | | | | | | | | | | | | | |             & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 186.16/28.21  | | | | | | | | | | | | | | |             $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 186.16/28.21  | | | | | | | | | | | | | | |             = all_30_1 & $i(all_30_1))
% 186.16/28.21  | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | |   (2213)   ~ (all_32_2 = e0)
% 186.16/28.21  | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | REDUCE: (314), (2213) imply:
% 186.16/28.21  | | | | | | | | | | | | | | | |   (2214)   ~ (all_4_2 = e0)
% 186.16/28.21  | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (113), (117), (120), (157), (159),
% 186.16/28.21  | | | | | | | | | | | | | | | |            (160), (163), (164), (165), (167), (168), (169),
% 186.16/28.21  | | | | | | | | | | | | | | | |            (197), (199), (214), (238), (239), (260), (268),
% 186.16/28.21  | | | | | | | | | | | | | | | |            (349), (358), (360), (373), (1803), (1805),
% 186.16/28.21  | | | | | | | | | | | | | | | |            (2183), (2189), (2202), (2203), (2204), (2205),
% 186.16/28.21  | | | | | | | | | | | | | | | |            (2209), (2214), (function-axioms) are inconsistent
% 186.16/28.21  | | | | | | | | | | | | | | | |            by sub-proof #1245.
% 186.16/28.21  | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | |   (2215)  all_32_2 = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (2215) imply:
% 186.16/28.21  | | | | | | | | | | | | | | | |   (2216)  all_4_2 = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | REDUCE: (36), (2216) imply:
% 186.16/28.21  | | | | | | | | | | | | | | | |   (2217)  op(e2, e2) = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | |   (2218)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 186.16/28.21  | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | BETA: splitting (2218) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | |   (2219)  all_56_4 = e0 & op(e3, e1) = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | ALPHA: (2219) implies:
% 186.16/28.21  | | | | | | | | | | | | | | | | | |   (2220)  all_56_4 = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | | |   (2221)  op(e3, e1) = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | |   (2222)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | BETA: splitting (2222) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | |   (2223)  all_56_6 = e0 & op(e1, e3) = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | ALPHA: (2223) implies:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | |   (2224)  all_56_6 = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | |   (2225)  op(e1, e3) = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (2225) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | |   (2226)  all_52_2 = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (2221) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | |   (2227)  all_52_8 = e0
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2227) imply:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | |   (2228)   ~ (all_52_11 = e0)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | |   (2229)   ~ (all_42_2 = e1)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2181), (2229) imply:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | |   (2230)  $false
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2230) is inconsistent.
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | |   (2231)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | |             $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | |             = all_42_1 & $i(all_42_1))
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2212) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | |   (2232)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | |           op(e1, e3) = all_30_1 & $i(all_30_0) &
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2232) implies:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | |   (2233)   ~ (all_30_0 = e2)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | |   (2234)  op(e1, e3) = all_30_1
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | |   (2235)  op(all_30_1, e1) = all_30_0
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2179) gives:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |   (2236)   ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_26_1 & $i(all_26_0) &
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_1)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2236) implies:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |   (2237)  op(e3, e1) = all_26_1
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (125), (157),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (165), (190), (207), (219), (222),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (229), (233), (235), (247), (373),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (1800), (1801), (1803), (2184), (2189), (2203),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (2209), (2217), (2220), (2221), (2224), (2225),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (2231), (2233), (2234), (2235), (2237),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            #1242.
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |   (2238)   ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 &
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_1)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2238) implies:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |   (2239)  op(e3, e1) = all_26_1
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (125), (157),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (165), (190), (207), (219), (222),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (229), (233), (235), (247), (373),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (1800), (1801), (1803), (2184), (2189), (2203),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (2209), (2217), (2220), (2221), (2224), (2225),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (2231), (2233), (2234), (2235), (2239),
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | |            #1242.
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | |   (2240)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1793), (2225), (2240), (function-axioms) are
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1241.
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.21  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |   (2241)  all_56_7 = e0 & op(e1, e2) = e0
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | ALPHA: (2241) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |   (2242)  all_56_7 = e0
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (2185), (2217), (2242),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |            #1240.
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2243)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | BETA: splitting (2243) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |   (2244)  all_56_8 = e0 & op(e1, e1) = e0
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | ALPHA: (2244) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |   (2245)  op(e1, e1) = e0
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2245), (function-axioms) are
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |   (2246)  all_56_11 = e0 & op(e1, e0) = e0
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | ALPHA: (2246) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |   (2247)  op(e1, e0) = e0
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2205), (2247), (function-axioms) are
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | |   (2248)  all_56_5 = e0 & op(e2, e1) = e0
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | ALPHA: (2248) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | |   (2249)  all_56_5 = e0
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 186.16/28.22  | | | | | | | | | | | | | | | | | |            (224), (229), (233), (235), (373), (2189), (2217),
% 186.16/28.22  | | | | | | | | | | | | | | | | | |            (2249), (function-axioms) are inconsistent by
% 186.16/28.22  | | | | | | | | | | | | | | | | | |            sub-proof #1239.
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | |   (2250)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 186.16/28.22  | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (1803), (2203), (2250),
% 186.16/28.22  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.16/28.22  | | | | | | | | | | | | | | | | |            #1238.
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | |   (2251)  all_28_2 = e2
% 186.16/28.22  | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | COMBINE_EQS: (330), (2251) imply:
% 186.16/28.22  | | | | | | | | | | |   (2252)  all_14_2 = e2
% 186.16/28.22  | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | SIMP: (2252) implies:
% 186.16/28.22  | | | | | | | | | | |   (2253)  all_14_2 = e2
% 186.16/28.22  | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | REDUCE: (371), (2253) imply:
% 186.16/28.22  | | | | | | | | | | |   (2254)   ~ (all_52_13 = e2)
% 186.16/28.22  | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | REDUCE: (380), (2253) imply:
% 186.16/28.22  | | | | | | | | | | |   (2255)   ~ (e3 = e2)
% 186.16/28.22  | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | REDUCE: (51), (2253) imply:
% 186.16/28.22  | | | | | | | | | | |   (2256)  op(e0, e0) = e2
% 186.16/28.22  | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | BETA: splitting (76) gives:
% 186.16/28.22  | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | |   (2257)   ~ (all_30_2 = e3)
% 186.16/28.22  | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | REDUCE: (1796), (2257) imply:
% 186.16/28.22  | | | | | | | | | | | |   (2258)  $false
% 186.16/28.22  | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | CLOSE: (2258) is inconsistent.
% 186.16/28.22  | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | |   (2259)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 186.16/28.22  | | | | | | | | | | | |             & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 186.16/28.22  | | | | | | | | | | | |             $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 186.16/28.22  | | | | | | | | | | | |             = all_30_1 & $i(all_30_1))
% 186.16/28.22  | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | BETA: splitting (79) gives:
% 186.16/28.22  | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | |   (2260)   ~ (all_32_2 = e0)
% 186.16/28.22  | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | REDUCE: (314), (2260) imply:
% 186.16/28.22  | | | | | | | | | | | | |   (2261)   ~ (all_4_2 = e0)
% 186.16/28.22  | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | BETA: splitting (199) gives:
% 186.16/28.22  | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | |   (2262)  all_54_5 = e3
% 186.16/28.22  | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | COMBINE_EQS: (268), (2262) imply:
% 186.16/28.22  | | | | | | | | | | | | | |   (2263)  all_4_2 = e3
% 186.16/28.22  | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | REDUCE: (373), (2263) imply:
% 186.16/28.22  | | | | | | | | | | | | | |   (2264)  $false
% 186.16/28.22  | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | CLOSE: (2264) is inconsistent.
% 186.16/28.22  | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | |   (2265)   ~ (all_54_5 = e3)
% 186.16/28.22  | | | | | | | | | | | | | |   (2266)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.16/28.22  | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | BETA: splitting (2266) gives:
% 186.16/28.22  | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | |   (2267)  all_54_5 = e2
% 186.16/28.22  | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2267) imply:
% 186.16/28.22  | | | | | | | | | | | | | | |   (2268)  all_4_2 = e2
% 186.16/28.22  | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | REDUCE: (349), (2268) imply:
% 186.16/28.22  | | | | | | | | | | | | | | |   (2269)   ~ (all_52_1 = e2)
% 186.16/28.22  | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | REDUCE: (358), (2268) imply:
% 186.16/28.22  | | | | | | | | | | | | | | |   (2270)   ~ (all_52_9 = e2)
% 186.16/28.22  | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | REDUCE: (36), (2268) imply:
% 186.16/28.22  | | | | | | | | | | | | | | |   (2271)  op(e2, e2) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | |   (2272)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 186.16/28.22  | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 186.16/28.22  | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | BETA: splitting (2272) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | |   (2273)  all_56_6 = e2 & op(e1, e3) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | ALPHA: (2273) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | |   (2274)  all_56_6 = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | |   (2275)  op(e1, e3) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | |   (2276)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | BETA: splitting (2276) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2277)  all_56_4 = e2 & op(e3, e1) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | ALPHA: (2277) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2278)  all_56_4 = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2279)  op(e3, e1) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (2275) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2280)  all_52_2 = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (2279) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2281)  all_52_8 = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2280) imply:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2282)   ~ (all_52_3 = e2)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | SIMP: (2282) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2283)   ~ (all_52_3 = e2)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2281) imply:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2284)   ~ (all_52_9 = e2)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |   (2285)   ~ (all_42_2 = e1)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (2181), (2285) imply:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |   (2286)  $false
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | CLOSE: (2286) is inconsistent.
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |   (2287)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |             $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | |             = all_42_1 & $i(all_42_1))
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2259) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |   (2288)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |           op(e1, e3) = all_30_1 & $i(all_30_0) &
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2288) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |   (2289)  op(e1, e3) = all_30_1
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (139), (146), (148), (157), (160), (162),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            (165), (167), (169), (192), (198), (200), (216),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            (217), (218), (249), (261), (269), (1793), (1798),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            (1800), (1802), (1803), (2179), (2182), (2184),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            (2186), (2269), (2270), (2274), (2275), (2278),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            (2279), (2283), (2287), (2289), (function-axioms)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1231.
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |   (2290)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2290) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |   (2291)  op(e1, e3) = all_30_1
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (139), (146), (148), (157), (160), (162),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            (165), (167), (169), (192), (198), (200), (216),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            (217), (218), (249), (261), (269), (1793), (1798),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            (1800), (1802), (1803), (2179), (2182), (2184),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            (2186), (2269), (2270), (2274), (2275), (2278),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            (2279), (2283), (2287), (2291), (function-axioms)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1231.
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2292)  all_56_5 = e2 & op(e2, e1) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | ALPHA: (2292) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2293)  op(e2, e1) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2270), (2293), (function-axioms) are
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | |   (2294)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 186.16/28.22  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | BETA: splitting (2294) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2295)  all_56_8 = e2 & op(e1, e1) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | ALPHA: (2295) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2296)  op(e1, e1) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (2296), (function-axioms) are
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2297)  all_56_14 = e2 & op(e0, e1) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | ALPHA: (2297) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |   (2298)  all_56_14 = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (2184), (2256), (2298),
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.16/28.22  | | | | | | | | | | | | | | | | | | |            #1228.
% 186.16/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | |   (2299)  all_56_7 = e2 & op(e1, e2) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | ALPHA: (2299) implies:
% 186.16/28.22  | | | | | | | | | | | | | | | | |   (2300)  all_56_7 = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (225),
% 186.16/28.22  | | | | | | | | | | | | | | | | |            (226), (228), (373), (2185), (2271), (2300),
% 186.16/28.22  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.16/28.22  | | | | | | | | | | | | | | | | |            #1764.
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | End of split
% 186.16/28.22  | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | Case 2:
% 186.16/28.22  | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | |   (2301)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 186.16/28.22  | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 186.16/28.22  | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | BETA: splitting (2301) gives:
% 186.16/28.22  | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | Case 1:
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | |   (2302)  all_56_8 = e2 & op(e1, e1) = e2
% 186.16/28.22  | | | | | | | | | | | | | | | | | 
% 186.16/28.22  | | | | | | | | | | | | | | | | | ALPHA: (2302) implies:
% 186.27/28.22  | | | | | | | | | | | | | | | | |   (2303)  op(e1, e1) = e2
% 186.27/28.22  | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (2303), (function-axioms) are
% 186.27/28.22  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 186.27/28.22  | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.22  | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | |   (2304)  all_56_11 = e2 & op(e1, e0) = e2
% 186.27/28.22  | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | ALPHA: (2304) implies:
% 186.27/28.22  | | | | | | | | | | | | | | | | |   (2305)  all_56_11 = e2
% 186.27/28.22  | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 186.27/28.22  | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.22  | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | |   (2306)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 186.27/28.22  | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 186.27/28.22  | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | BETA: splitting (2306) gives:
% 186.27/28.22  | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | |   (2307)  all_56_6 = e1 & op(e1, e3) = e1
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | ALPHA: (2307) implies:
% 186.27/28.22  | | | | | | | | | | | | | | | | | | |   (2308)  op(e1, e3) = e1
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2183), (2308), (function-axioms) are
% 186.27/28.22  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | |   (2309)  all_56_7 = e1 & op(e1, e2) = e1
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | ALPHA: (2309) implies:
% 186.27/28.22  | | | | | | | | | | | | | | | | | | |   (2310)  all_56_7 = e1
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | |   (2311)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (2189), (2269), (2311),
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | |            #1469.
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.22  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | |   (2312)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2312) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | |   (2313)  all_56_6 = e2 & op(e1, e3) = e2
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2313) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | |   (2314)  all_56_6 = e2
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | |   (2315)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2315) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2316)  all_56_6 = e0 & op(e1, e3) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2314), (2316) are inconsistent by sub-proof
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |            #1601.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2317)  all_56_7 = e0 & op(e1, e2) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2310), (2317) are inconsistent by sub-proof
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |            #1563.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | |   (2318)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2318) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2319)  all_56_8 = e0 & op(e1, e1) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2319) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2320)  op(e1, e1) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (1798), (1802),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |            (2314), (2320), (function-axioms) are inconsistent
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1405.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2321)  all_56_11 = e0 & op(e1, e0) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2321) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2322)  all_56_11 = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2305), (2322) are inconsistent by sub-proof
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |            #1227.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | |   (2323)  all_56_12 = e2 & op(e0, e3) = e2
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2323) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | |   (2324)  all_56_12 = e2
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | |   (2325)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2325) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2326)  all_56_0 = e3 & op(e3, e3) = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2326) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2327)  op(e3, e3) = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2189), (2327), (function-axioms) are
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2328)  all_56_2 = e3 & op(e2, e3) = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2328) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2329)  all_56_2 = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | |   (2330)  op(e2, e3) = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | |   (2331)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (2332)  all_56_12 = e3 & op(e0, e3) = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2332) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (2333)  all_56_12 = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2324), (2333) are inconsistent by sub-proof
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | |            #1354.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (2334)  all_56_13 = e3 & op(e0, e2) = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2334) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (2335)  all_56_13 = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2336)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2336) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2337)  all_56_12 = e1 & op(e0, e3) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2337) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2338)  op(e0, e3) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2184), (2338), (function-axioms) are
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2339)  all_56_13 = e1 & op(e0, e2) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2339) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2340)  all_56_13 = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2335), (2340) imply:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2341)  e3 = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2341) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2342)  e3 = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2329), (2342) imply:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2343)  all_56_2 = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2189), (2343), (function-axioms) are inconsistent
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1844.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2344)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2344) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2345)  all_56_14 = e1 & op(e0, e1) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (67),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (85), (117), (133), (134), (139), (145),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (159), (162), (163), (164), (165), (167),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (199), (204), (206), (207),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (213), (214), (217), (218),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (222), (223), (224), (226), (227),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (231), (232), (233), (234), (235),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (268), (279), (309), (314), (318),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (340), (342), (344), (346), (348), (352), (354),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (358), (360), (373), (374), (377), (1797), (1798),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1803), (1805), (2185), (2189), (2256), (2324),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2345), (function-axioms) are inconsistent by
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1177.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2346)  all_56_15 = e1 & op(e0, e0) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2346) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2347)  op(e0, e0) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2256), (2347), (function-axioms) are
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | |   (2348)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2348) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (2349)  all_56_14 = e3 & op(e0, e1) = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2349) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (2350)  all_56_14 = e3
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2351)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2351) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2352)  all_56_4 = e1 & op(e3, e1) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2352) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2353)  all_56_4 = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (1803),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2350), (2353), (function-axioms) are inconsistent
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1608.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2354)  all_56_5 = e1 & op(e2, e1) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2354) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2355)  all_56_5 = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2356)  op(e2, e1) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2357)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2357) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2358)  all_56_9 = e1 & op(e3, e0) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2358) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2359)  op(e3, e0) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2187), (2359), (function-axioms) are
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2360)  all_56_10 = e1 & op(e2, e0) = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2360) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2361)  all_56_10 = e1
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2362)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2362) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2363)  all_56_0 = e0 & op(e3, e3) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2363) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2364)  op(e3, e3) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2189), (2364), (function-axioms) are
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2365)  all_56_2 = e0 & op(e2, e3) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2365) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2366)  all_56_2 = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2329), (2366) are inconsistent by sub-proof
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1711.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2367)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2367) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2368)  all_56_6 = e0 & op(e1, e3) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2368) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2369)  all_56_6 = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2370)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2370) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2371)  all_56_2 = e0 & op(e2, e3) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2371) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2372)  all_56_2 = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1797), (2189), (2369), (2372), (function-axioms)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1176.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2373)  all_56_3 = e0 & op(e2, e2) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2373) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2374)  op(e2, e2) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (164), (223), (2254), (2330),
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2356), (2374), (function-axioms) are inconsistent
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1413.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2375)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2375) gives:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2376)  all_56_5 = e0 & op(e2, e1) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2376) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2377)  all_56_5 = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2355), (2377) are inconsistent by sub-proof
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1842.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2378)  all_56_10 = e0 & op(e2, e0) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2378) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2379)  all_56_10 = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2361), (2379) are inconsistent by sub-proof
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1411.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2380)  all_56_12 = e0 & op(e0, e3) = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2380) implies:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2381)  all_56_12 = e0
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2324), (2381) are inconsistent by sub-proof
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1852.
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2382)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2256), (2305), (2382), (function-axioms) are
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1418.
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2383)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2383) gives:
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2384)  all_56_8 = e1 & op(e1, e1) = e1
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2384) implies:
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2385)  op(e1, e1) = e1
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1803), (2385), (function-axioms) are
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2386)  all_56_14 = e1 & op(e0, e1) = e1
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (67),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (85), (117), (133), (134), (139), (145),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (159), (162), (163), (164), (165), (167),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (199), (204), (206), (207),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (213), (214), (217), (218),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (222), (223), (224), (226), (227),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (231), (232), (233), (234), (235),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (268), (279), (309), (314), (318),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (340), (342), (344), (346), (348), (352), (354),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (358), (360), (373), (374), (377), (1797), (1798),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1803), (1805), (2185), (2189), (2256), (2324),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2386), (function-axioms) are inconsistent by
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1177.
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (2387)  all_56_15 = e3 & op(e0, e0) = e3
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2387) implies:
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (2388)  op(e0, e0) = e3
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2256), (2388), (function-axioms) are
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | |   (2389)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (1797), (2324), (2389),
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | |            #1178.
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24  | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | |   (2390)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 186.27/28.24  | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 186.27/28.24  | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (1803), (2305), (2390),
% 186.27/28.24  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.24  | | | | | | | | | | | | | | | | | |            #1175.
% 186.27/28.24  | | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | Case 2:
% 186.27/28.24  | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | |   (2391)  all_54_5 = e1 | all_54_5 = e0
% 186.27/28.24  | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | REF_CLOSE: (268), (1805), (2261), (2391) are inconsistent by
% 186.27/28.24  | | | | | | | | | | | | | | |            sub-proof #1941.
% 186.27/28.24  | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | End of split
% 186.27/28.24  | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | Case 2:
% 186.27/28.24  | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | |   (2392)  all_32_2 = e0
% 186.27/28.24  | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | COMBINE_EQS: (314), (2392) imply:
% 186.27/28.24  | | | | | | | | | | | | |   (2393)  all_4_2 = e0
% 186.27/28.24  | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | SIMP: (2393) implies:
% 186.27/28.24  | | | | | | | | | | | | |   (2394)  all_4_2 = e0
% 186.27/28.24  | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | REDUCE: (360), (2394) imply:
% 186.27/28.24  | | | | | | | | | | | | |   (2395)   ~ (all_52_13 = e0)
% 186.27/28.24  | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | REDUCE: (373), (2394) imply:
% 186.27/28.24  | | | | | | | | | | | | |   (2396)   ~ (e3 = e0)
% 186.27/28.24  | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | REDUCE: (1805), (2394) imply:
% 186.27/28.24  | | | | | | | | | | | | |   (2397)   ~ (e1 = e0)
% 186.27/28.24  | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | REDUCE: (36), (2394) imply:
% 186.27/28.24  | | | | | | | | | | | | |   (2398)  op(e2, e2) = e0
% 186.27/28.24  | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.24  | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | Case 1:
% 186.27/28.24  | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | |   (2399)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.24  | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.24  | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.24  | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.24  | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.24  | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.24  | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.24  | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.24  | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.24  | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.24  | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.24  | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.24  | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.24  | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.24  | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.24  | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.24  | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.24  | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.24  | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.24  | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.24  | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.24  | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.24  | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.24  | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.24  | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.24  | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.24  | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.24  | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.24  | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.24  | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.24  | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.24  | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.24  | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.24  | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.24  | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.24  | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.24  | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.24  | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.24  | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.24  | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.24  | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.24  | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.24  | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.24  | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.24  | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.24  | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.24  | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.24  | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | BETA: splitting (2399) gives:
% 186.27/28.24  | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | Case 1:
% 186.27/28.24  | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | |   (2400)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.24  | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.24  | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.24  | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.24  | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.24  | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.24  | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.24  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.24  | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.24  | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.24  | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.24  | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.24  | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.24  | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.24  | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.24  | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.24  | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.24  | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.24  | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.24  | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.24  | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.24  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.24  | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.24  | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.24  | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.24  | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.24  | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.24  | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.24  | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | BETA: splitting (2400) gives:
% 186.27/28.24  | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | Case 1:
% 186.27/28.24  | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | |   (2401)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.24  | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.24  | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.24  | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.24  | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.24  | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.24  | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.24  | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.24  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.24  | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.24  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.24  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.24  | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.24  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.24  | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.24  | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (2189), (2401),
% 186.27/28.24  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.24  | | | | | | | | | | | | | | | |            #1893.
% 186.27/28.24  | | | | | | | | | | | | | | | | 
% 186.27/28.24  | | | | | | | | | | | | | | | Case 2:
% 186.27/28.24  | | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | |   (2402)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.25  | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.25  | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.25  | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.25  | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.25  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.25  | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.25  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.25  | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.25  | | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (1799), (2183), (2402),
% 186.27/28.25  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.25  | | | | | | | | | | | | | | | |            #1733.
% 186.27/28.25  | | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | End of split
% 186.27/28.25  | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | Case 2:
% 186.27/28.25  | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | |   (2403)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.25  | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25  | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.25  | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.25  | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.25  | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.25  | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.25  | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.25  | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.25  | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.25  | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.25  | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.25  | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.25  | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.25  | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.25  | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.25  | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.25  | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.25  | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.25  | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.25  | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.25  | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.25  | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | BETA: splitting (2403) gives:
% 186.27/28.25  | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | Case 1:
% 186.27/28.25  | | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | |   (2404)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.25  | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25  | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.25  | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.25  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.25  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.25  | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.25  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.25  | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.25  | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.25  | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.25  | | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (2189), (2256), (2404),
% 186.27/28.25  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.25  | | | | | | | | | | | | | | | |            #1369.
% 186.27/28.25  | | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | Case 2:
% 186.27/28.25  | | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | |   (2405)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.25  | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.25  | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.25  | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.25  | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.25  | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.25  | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.25  | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.25  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.25  | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.25  | | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (1803), (2398), (2405),
% 186.27/28.25  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.25  | | | | | | | | | | | | | | | |            #1174.
% 186.27/28.25  | | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | End of split
% 186.27/28.25  | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | End of split
% 186.27/28.25  | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | Case 2:
% 186.27/28.25  | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | |   (2406)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.25  | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.25  | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25  | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.25  | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.25  | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.25  | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.25  | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.25  | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.25  | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.25  | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.25  | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.25  | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.25  | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.25  | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.25  | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.25  | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.25  | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25  | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.25  | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.25  | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.25  | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.25  | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.25  | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.25  | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.25  | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.25  | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.25  | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.25  | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.25  | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.27/28.25  | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.25  | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.25  | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.25  | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.25  | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.25  | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.25  | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.25  | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.25  | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.25  | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.25  | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.25  | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.25  | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.25  | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.25  | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.25  | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.25  | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.25  | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.25  | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.25  | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.25  | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.25  | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.25  | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.25  | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | BETA: splitting (2406) gives:
% 186.27/28.25  | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | Case 1:
% 186.27/28.25  | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | |   (2407)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.25  | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25  | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.25  | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.25  | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.25  | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.25  | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.25  | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.25  | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.25  | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.25  | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.25  | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.25  | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.25  | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.25  | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.25  | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.25  | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.25  | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.25  | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.25  | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.25  | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.25  | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.25  | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.25  | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.25  | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.25  | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.25  | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | BETA: splitting (2407) gives:
% 186.27/28.25  | | | | | | | | | | | | | | | 
% 186.27/28.25  | | | | | | | | | | | | | | | Case 1:
% 186.27/28.25  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | |   (2408)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.26  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.26  | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.26  | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.26  | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.26  | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.26  | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.26  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.26  | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.26  | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.26  | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.26  | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.26  | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.26  | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2254), (2395), (2408), (function-axioms)
% 186.27/28.26  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1172.
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | Case 2:
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | |   (2409)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.26  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.26  | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.26  | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.26  | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.26  | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.26  | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.26  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.26  | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.26  | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.26  | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.26  | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.26  | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.26  | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (1803), (2256), (2409),
% 186.27/28.26  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.26  | | | | | | | | | | | | | | | |            #1171.
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | End of split
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | Case 2:
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | |   (2410)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.26  | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.26  | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.26  | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.26  | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.26  | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.26  | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.26  | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.26  | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.26  | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.26  | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.26  | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.26  | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.26  | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.26  | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.26  | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.26  | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.26  | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.26  | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.26  | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.26  | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.26  | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.26  | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.26  | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.26  | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.26  | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | BETA: splitting (2410) gives:
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | Case 1:
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | |   (2411)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.26  | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.26  | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.26  | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.26  | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.26  | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.26  | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.26  | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.26  | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.26  | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.26  | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.26  | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (2189), (2398), (2411),
% 186.27/28.26  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.26  | | | | | | | | | | | | | | | |            #1170.
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | Case 2:
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | |   (2412)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.26  | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.26  | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.26  | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.26  | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.26  | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.26  | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.26  | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.26  | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.26  | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.26  | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.26  | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.26  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (1803), (2256), (2412),
% 186.27/28.26  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.26  | | | | | | | | | | | | | | | |            #1169.
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | End of split
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | End of split
% 186.27/28.26  | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | End of split
% 186.27/28.26  | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | End of split
% 186.27/28.26  | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | End of split
% 186.27/28.26  | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | End of split
% 186.27/28.26  | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | End of split
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | Case 2:
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | |   (2413)  all_24_2 = e1
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | COMBINE_EQS: (318), (2413) imply:
% 186.27/28.26  | | | | | | | | |   (2414)  all_4_2 = e1
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | REDUCE: (349), (2414) imply:
% 186.27/28.26  | | | | | | | | |   (2415)   ~ (all_52_1 = e1)
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | REDUCE: (352), (2414) imply:
% 186.27/28.26  | | | | | | | | |   (2416)   ~ (all_52_4 = e1)
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | REDUCE: (354), (2414) imply:
% 186.27/28.26  | | | | | | | | |   (2417)   ~ (all_52_6 = e1)
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | REDUCE: (356), (2414) imply:
% 186.27/28.26  | | | | | | | | |   (2418)   ~ (all_52_7 = e1)
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | REDUCE: (358), (2414) imply:
% 186.27/28.26  | | | | | | | | |   (2419)   ~ (all_52_9 = e1)
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | REDUCE: (360), (2414) imply:
% 186.27/28.26  | | | | | | | | |   (2420)   ~ (all_52_13 = e1)
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | REDUCE: (373), (2414) imply:
% 186.27/28.26  | | | | | | | | |   (2421)   ~ (e3 = e1)
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | REDUCE: (36), (2414) imply:
% 186.27/28.26  | | | | | | | | |   (2422)  op(e2, e2) = e1
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | BETA: splitting (70) gives:
% 186.27/28.26  | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | Case 1:
% 186.27/28.26  | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | |   (2423)   ~ (all_26_2 = e1)
% 186.27/28.26  | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | REDUCE: (307), (2423) imply:
% 186.27/28.26  | | | | | | | | | |   (2424)   ~ (all_6_2 = e1)
% 186.27/28.26  | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | BETA: splitting (204) gives:
% 186.27/28.26  | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | Case 1:
% 186.27/28.26  | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | |   (2425)  all_54_0 = e3
% 186.27/28.26  | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | COMBINE_EQS: (279), (2425) imply:
% 186.27/28.26  | | | | | | | | | | |   (2426)  all_6_2 = e3
% 186.27/28.26  | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | SIMP: (2426) implies:
% 186.27/28.26  | | | | | | | | | | |   (2427)  all_6_2 = e3
% 186.27/28.26  | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | REDUCE: (344), (2427) imply:
% 186.27/28.26  | | | | | | | | | | |   (2428)   ~ (all_52_4 = e3)
% 186.27/28.26  | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | REDUCE: (348), (2427) imply:
% 186.27/28.26  | | | | | | | | | | |   (2429)   ~ (all_52_12 = e3)
% 186.27/28.26  | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | REDUCE: (39), (2427) imply:
% 186.27/28.26  | | | | | | | | | | |   (2430)  op(e3, e3) = e3
% 186.27/28.26  | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | BETA: splitting (228) gives:
% 186.27/28.26  | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | Case 1:
% 186.27/28.26  | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | |   (2431)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.27/28.26  | | | | | | | | | | | |             & op(e2, e2) = e3)
% 186.27/28.26  | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | REF_CLOSE: (8), (170), (2422), (2428), (2431),
% 186.27/28.26  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.26  | | | | | | | | | | | |            #1347.
% 186.27/28.26  | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | Case 2:
% 186.27/28.26  | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | |   (2432)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.27/28.26  | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 186.27/28.26  | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | BETA: splitting (2432) gives:
% 186.27/28.26  | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | Case 1:
% 186.27/28.26  | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | |   (2433)  all_56_7 = e3 & op(e1, e2) = e3
% 186.27/28.26  | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | ALPHA: (2433) implies:
% 186.27/28.26  | | | | | | | | | | | | |   (2434)  op(e1, e2) = e3
% 186.27/28.26  | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | REF_CLOSE: (162), (1798), (2434), (function-axioms) are
% 186.27/28.26  | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 186.27/28.26  | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | Case 2:
% 186.27/28.26  | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | |   (2435)  all_56_13 = e3 & op(e0, e2) = e3
% 186.27/28.26  | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | ALPHA: (2435) implies:
% 186.27/28.26  | | | | | | | | | | | | |   (2436)  all_56_13 = e3
% 186.27/28.26  | | | | | | | | | | | | |   (2437)  op(e0, e2) = e3
% 186.27/28.26  | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | BETA: splitting (224) gives:
% 186.27/28.26  | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | Case 1:
% 186.27/28.26  | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | |   (2438)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.27/28.26  | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 186.27/28.26  | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (160), (168),
% 186.27/28.26  | | | | | | | | | | | | | |            (212), (221), (223), (380), (1802), (2422),
% 186.27/28.26  | | | | | | | | | | | | | |            (2429), (2438), (function-axioms) are inconsistent
% 186.27/28.26  | | | | | | | | | | | | | |            by sub-proof #1163.
% 186.27/28.26  | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | Case 2:
% 186.27/28.26  | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | |   (2439)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.27/28.26  | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 186.27/28.26  | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | BETA: splitting (2439) gives:
% 186.27/28.26  | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | Case 1:
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | |   (2440)  all_56_5 = e3 & op(e2, e1) = e3
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | ALPHA: (2440) implies:
% 186.27/28.26  | | | | | | | | | | | | | | |   (2441)  op(e2, e1) = e3
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | REF_CLOSE: (165), (1800), (2441), (function-axioms) are
% 186.27/28.26  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | Case 2:
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | |   (2442)  all_56_10 = e3 & op(e2, e0) = e3
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | ALPHA: (2442) implies:
% 186.27/28.26  | | | | | | | | | | | | | | |   (2443)  all_56_10 = e3
% 186.27/28.26  | | | | | | | | | | | | | | |   (2444)  op(e2, e0) = e3
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 186.27/28.26  | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (2437) gives:
% 186.27/28.26  | | | | | | | | | | | | | | |   (2445)  all_52_7 = e3
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 186.27/28.26  | | | | | | | | | | | | | | |              e3, e0, e2, simplifying with (164), (2444) gives:
% 186.27/28.26  | | | | | | | | | | | | | | |   (2446)  all_52_13 = e3
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | REDUCE: (145), (2446) imply:
% 186.27/28.26  | | | | | | | | | | | | | | |   (2447)   ~ (all_52_1 = e3)
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | REDUCE: (125), (2445) imply:
% 186.27/28.26  | | | | | | | | | | | | | | |   (2448)   ~ (all_52_11 = e3)
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | REDUCE: (110), (2446) imply:
% 186.27/28.26  | | | | | | | | | | | | | | |   (2449)   ~ (all_52_14 = e3)
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | REDUCE: (371), (2446) imply:
% 186.27/28.26  | | | | | | | | | | | | | | |   (2450)   ~ (all_14_2 = e3)
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 186.27/28.26  | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | Case 1:
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | |   (2451)   ~ (all_28_2 = e2)
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | | REDUCE: (330), (2451) imply:
% 186.27/28.26  | | | | | | | | | | | | | | | |   (2452)   ~ (all_14_2 = e2)
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 186.27/28.26  | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.26  | | | | | | | | | | | | | | | | | 
% 186.27/28.26  | | | | | | | | | | | | | | | | |   (2453)  all_54_15 = e3
% 186.27/28.26  | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (380), (2453) are inconsistent by sub-proof
% 186.27/28.27  | | | | | | | | | | | | | | | | |            #1675.
% 186.27/28.27  | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27  | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | |   (2454)   ~ (all_54_15 = e3)
% 186.27/28.27  | | | | | | | | | | | | | | | | |   (2455)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.27/28.27  | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | BETA: splitting (2455) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | |   (2456)  all_54_15 = e2
% 186.27/28.27  | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2452), (2456) are inconsistent by
% 186.27/28.27  | | | | | | | | | | | | | | | | | |            sub-proof #1648.
% 186.27/28.27  | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | |   (2457)   ~ (all_54_15 = e2)
% 186.27/28.27  | | | | | | | | | | | | | | | | | |   (2458)  all_54_15 = e1 | all_54_15 = e0
% 186.27/28.27  | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | BETA: splitting (2458) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2459)  all_54_15 = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (2459) are inconsistent by sub-proof
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |            #1660.
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2460)  all_54_15 = e0
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2460) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2461)  all_14_2 = e0
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | SIMP: (2461) implies:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2462)  all_14_2 = e0
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | REDUCE: (351), (2462) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2463)   ~ (all_52_3 = e0)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | REDUCE: (369), (2462) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2464)   ~ (all_52_11 = e0)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | REDUCE: (370), (2462) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2465)   ~ (all_52_12 = e0)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | REDUCE: (372), (2462) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2466)   ~ (all_52_14 = e0)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | REDUCE: (380), (2462) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2467)   ~ (e3 = e0)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | REDUCE: (2452), (2462) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2468)   ~ (e2 = e0)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | REDUCE: (378), (2462) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2469)   ~ (e1 = e0)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2462) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | |   (2470)  op(e0, e0) = e0
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |   (2471)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2471) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |   (2472)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2472) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | |   (2473)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2473) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2474)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2474) implies:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2475)   ~ (all_57_12 = e3)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2476)   ~ (all_57_1 = e1)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2477)  op(e1, e3) = all_57_1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2478)  op(e2, e2) = all_57_12
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2479)  op(e2, e3) = e2
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |              all_57_1, e3, e1, simplifying with (163), (2477)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2480)  all_57_1 = all_52_2
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12, e2, e2, simplifying with (2422), (2478)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2481)  all_57_12 = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (2479) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2482)  all_52_1 = e2
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (2480) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2483)   ~ (all_52_2 = e1)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2482) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2484)   ~ (all_52_2 = e2)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2484) implies:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2485)   ~ (all_52_2 = e2)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2482) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2486)   ~ (all_52_9 = e2)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2486) implies:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2487)   ~ (all_52_9 = e2)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2447), (2482) imply:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (2488)   ~ (e3 = e2)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | |   (2489)  all_54_8 = e3
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (1797), (2489) are inconsistent by
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | |   (2490)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (2491)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2491) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2492)  all_56_0 = e1 & op(e3, e3) = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2492) implies:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2493)  op(e3, e3) = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2430), (2493), (function-axioms) are
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2494)  all_56_2 = e1 & op(e2, e3) = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2494) implies:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2495)  all_56_2 = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2490) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2496)  all_54_8 = e2
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2485), (2496) are inconsistent by
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2497)  all_54_8 = e1 | all_54_8 = e0
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2498)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2498) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2499)  all_56_12 = e1 & op(e0, e3) = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2499) implies:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2500)  all_56_12 = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (76), (141),
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (160), (162), (165), (168), (170),
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (208), (214), (218), (219), (220), (221),
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (225), (226), (227), (228), (230), (234),
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (259), (373), (1796), (1803), (2416),
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2417), (2418), (2419), (2422), (2428), (2430),
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2436), (2443), (2463), (2465), (2466), (2470),
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2476), (2477), (2483), (2487), (2497), (2500),
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1147.
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2501)  all_56_13 = e1 & op(e0, e2) = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2501) implies:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2502)  op(e0, e2) = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2418), (2502), (function-axioms) are
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2503)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2504)  all_56_14 = e1 & op(e0, e1) = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2504) implies:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2505)  all_56_14 = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2506)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2417), (2476), (2477), (2506),
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1161.
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2507)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2507) gives:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2508)  all_56_8 = e1 & op(e1, e1) = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2508) implies:
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2509)  op(e1, e1) = e1
% 186.27/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1803), (2509), (function-axioms) are
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2510)  all_56_11 = e1 & op(e1, e0) = e1
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2510) implies:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2511)  op(e1, e0) = e1
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2512)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (165), (223), (2422), (2443),
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2487), (2512), (function-axioms) are inconsistent
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1159.
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2513)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2513) gives:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2514)  all_56_5 = e0 & op(e2, e1) = e0
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2514) implies:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2515)  all_56_5 = e0
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2516)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2516) gives:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2517)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2517) gives:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2518)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (2422), (2428), (2518),
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1673.
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2519)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2519) gives:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2520)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2520) implies:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2521)  op(e3, e3) = e1
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2495), (2521), (function-axioms) are inconsistent
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1844.
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2522)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2522) implies:
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2523)  op(e1, e3) = e1
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2476), (2477), (2523), (function-axioms) are
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1326.
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2524)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives:
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2525)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (2430), (2463), (2525),
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1328.
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2526)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (165), (2417), (2487), (2526),
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1669.
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2527)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2527) gives:
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2528)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2528) gives:
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2529)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2529) gives:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2530)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2530) implies:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2531)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2511), (2531), (function-axioms) are
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1271.
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2532)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2532) implies:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2533)  op(e0, e0) = e2
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2470), (2533), (function-axioms) are
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2534)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2534) gives:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2535)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2535) implies:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2536)  op(e1, e1) = e0
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (2505),
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2515), (2536), (function-axioms) are inconsistent
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1552.
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2537)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2537) implies:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2538)  op(e1, e0) = e0
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (2483), (2497), (2538),
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1257.
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2539)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2539) gives:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2540)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2540) gives:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2541)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2541) implies:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2542)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (76), (373), (1796), (2479), (2542),
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1255.
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2543)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2543) implies:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2544)  op(e2, e2) = e2
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2422), (2544), (function-axioms) are
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2545)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1803), (2511), (2545),
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1254.
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2546)  all_56_10 = e0 & op(e2, e0) = e0
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2546) implies:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2547)  all_56_10 = e0
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2443), (2547) are inconsistent by sub-proof
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1432.
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2548)  all_56_15 = e1 & op(e0, e0) = e1
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2548) implies:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2549)  op(e0, e0) = e1
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2470), (2549), (function-axioms) are
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (2550)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2550) gives:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2551)  all_56_6 = e1 & op(e1, e3) = e1
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2551) implies:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2552)  op(e1, e3) = e1
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2476), (2477), (2552), (function-axioms) are
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1326.
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2553)  all_56_12 = e1 & op(e0, e3) = e1
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2553) implies:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2554)  all_56_12 = e1
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2490) gives:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2555)  all_54_8 = e2
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2485), (2555) are inconsistent by
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2556)  all_54_8 = e1 | all_54_8 = e0
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (76), (141),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (160), (162), (165), (168), (170),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (208), (214), (218), (219), (220), (221),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (225), (226), (227), (228), (230), (234),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (259), (373), (1796), (1803), (2416),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2417), (2418), (2419), (2422), (2428), (2430),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2436), (2443), (2463), (2465), (2466), (2470),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2476), (2477), (2483), (2487), (2554), (2556),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1147.
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | |   (2557)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2557) implies:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | |   (2558)  op(e0, e0) = e3
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2470), (2558), (function-axioms) are
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |   (2559)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (2422), (2470), (2559),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |            #1146.
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |   (2560)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2560) gives:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |   (2561)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2428), (2561), (function-axioms) are
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |   (2562)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (1799), (2417), (2562),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |            #1677.
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |   (2563)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2563) gives:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |   (2564)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2564) gives:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |   (2565)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (2430), (2470), (2565),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |            #1312.
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |   (2566)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (2429), (2470), (2566),
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | |            #1828.
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.31  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |   (2567)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2567) gives:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |   (2568)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2430), (2568), (function-axioms) are
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |   (2569)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2569) gives:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |   (2570)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2570) implies:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |   (2571)  op(e1, e1) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2571), (function-axioms) are
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |   (2572)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2572) gives:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |   (2573)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2573) implies:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |   (2574)  op(e2, e2) = e0
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2422), (2574), (function-axioms) are
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |   (2575)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2575) implies:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |   (2576)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2576) gives:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (2577)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2577) gives:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2578)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2578) implies:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2579)  op(e2, e2) = e3
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2422), (2579), (function-axioms) are
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2580)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (159), (2430), (2463), (2580),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1311.
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (2581)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2582)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2582) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2583)  op(e1, e1) = e2
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (2583), (function-axioms) are
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2584)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (2430), (2464), (2584),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1634.
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | |   (2585)  all_28_2 = e2
% 186.27/28.33  | | | | | | | | | | | | | | | |   (2586)  ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 186.27/28.33  | | | | | | | | | | | | | | | |             & op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.27/28.33  | | | | | | | | | | | | | | | |             $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2)
% 186.27/28.33  | | | | | | | | | | | | | | | |             = all_28_1 & $i(all_28_1))
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (2585) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | |   (2587)  all_14_2 = e2
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | SIMP: (2587) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | |   (2588)  all_14_2 = e2
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (2588) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | |   (2589)  all_50_2 = e2
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | REDUCE: (369), (2588) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | |   (2590)   ~ (all_52_11 = e2)
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | REDUCE: (370), (2588) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | |   (2591)   ~ (all_52_12 = e2)
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | REDUCE: (372), (2588) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | |   (2592)   ~ (all_52_14 = e2)
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | REDUCE: (380), (2588) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | |   (2593)   ~ (e3 = e2)
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | REDUCE: (51), (2588) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | |   (2594)  op(e0, e0) = e2
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33  | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | |   (2595)   ~ (all_50_2 = e2)
% 186.27/28.33  | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | REDUCE: (2589), (2595) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | |   (2596)  $false
% 186.27/28.33  | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | CLOSE: (2596) is inconsistent.
% 186.27/28.33  | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | |   (2597)  ( ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0
% 186.27/28.33  | | | | | | | | | | | | | | | | |             & op(e0, e2) = all_50_1 & $i(all_50_0) &
% 186.27/28.33  | | | | | | | | | | | | | | | | |             $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e0, e2)
% 186.27/28.33  | | | | | | | | | | | | | | | | |             = all_50_1 & $i(all_50_1))
% 186.27/28.33  | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | BETA: splitting (2586) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | |   (2598)   ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 186.27/28.33  | | | | | | | | | | | | | | | | | |           op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.27/28.33  | | | | | | | | | | | | | | | | | |           $i(all_28_1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | ALPHA: (2598) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | | | |   (2599)   ~ (all_28_0 = e1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | |   (2600)  op(e0, e2) = all_28_1
% 186.27/28.33  | | | | | | | | | | | | | | | | | |   (2601)  op(all_28_1, e0) = all_28_0
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 186.27/28.33  | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (2437), (2600) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | |   (2602)  all_28_1 = e3
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | REDUCE: (2601), (2602) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | |   (2603)  op(e3, e0) = all_28_0
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | BETA: splitting (2597) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2604)   ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0 &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |           op(e0, e2) = all_50_1 & $i(all_50_0) &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |           $i(all_50_1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | ALPHA: (2604) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2605)  op(e0, e2) = all_50_1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (2437), (2605) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2606)  all_50_1 = e3
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |              all_28_0, e0, e3, simplifying with (168), (2603)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |              gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2607)  all_52_12 = all_28_0
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2607) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2608)  all_54_3 = all_28_0
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2607) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2609)   ~ (all_52_4 = all_28_0)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2607) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2610)   ~ (all_52_8 = all_28_0)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2607) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2611)   ~ (all_52_14 = all_28_0)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | SIMP: (2611) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2612)   ~ (all_52_14 = all_28_0)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | REDUCE: (2429), (2607) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2613)   ~ (all_28_0 = e3)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | REDUCE: (2591), (2607) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2614)   ~ (all_28_0 = e2)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |   (2615)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (164), (201), (206), (2420),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |            (2443), (2594), (2599), (2608), (2612), (2613),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |            (2614), (2615), (function-axioms) are inconsistent
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1145.
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |   (2616)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2616) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |   (2617)  all_56_11 = e1 & op(e1, e0) = e1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2617) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |   (2618)  all_56_11 = e1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (117), (121),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (126), (134), (136), (139), (141), (143), (149),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (162), (163), (164),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (165), (167), (168), (169), (170), (190), (193),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (195), (196), (201), (202), (203), (206), (207),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (215), (216), (219), (221), (225), (226), (227),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (228), (231), (232), (234), (238), (239), (247),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (250), (258), (259), (271), (272), (373), (1797),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (1798), (1799), (1801), (1802), (1803), (2416),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (2418), (2422), (2428), (2429), (2430), (2436),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (2437), (2443), (2590), (2592), (2594), (2599),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (2600), (2608), (2609), (2610), (2612), (2613),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (2614), (2618), (function-axioms) are inconsistent
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1136.
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |   (2619)  all_56_15 = e1 & op(e0, e0) = e1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2619) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |   (2620)  op(e0, e0) = e1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2594), (2620), (function-axioms) are
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2621)   ~ (all_50_1 = e1) & op(e0, e2) = all_50_1 &
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |           $i(all_50_1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | ALPHA: (2621) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2622)   ~ (all_50_1 = e1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2623)  op(e0, e2) = all_50_1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (2437), (2623) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2624)  all_50_1 = e3
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |              all_28_0, e0, e3, simplifying with (168), (2603)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |              gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2625)  all_52_12 = all_28_0
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2625) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2626)  all_54_3 = all_28_0
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2625) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2627)   ~ (all_52_4 = all_28_0)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2625) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2628)   ~ (all_52_8 = all_28_0)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2625) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2629)   ~ (all_52_14 = all_28_0)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | SIMP: (2629) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2630)   ~ (all_52_14 = all_28_0)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | REDUCE: (2429), (2625) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2631)   ~ (all_28_0 = e3)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | REDUCE: (2591), (2625) imply:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | |   (2632)   ~ (all_28_0 = e2)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |   (2633)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (164), (201), (206), (2420),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |            (2443), (2594), (2599), (2626), (2630), (2631),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |            (2632), (2633), (function-axioms) are inconsistent
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1145.
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |   (2634)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2634) gives:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |   (2635)  all_56_11 = e1 & op(e1, e0) = e1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2635) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |   (2636)  all_56_11 = e1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (117), (121),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (126), (134), (136), (139), (141), (143), (149),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (162), (163), (164),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (165), (167), (168), (169), (170), (190), (193),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (195), (196), (201), (202), (203), (206), (207),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (215), (216), (219), (221), (225), (226), (227),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (228), (231), (232), (234), (238), (239), (247),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (250), (258), (259), (271), (272), (373), (1797),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (1798), (1799), (1801), (1802), (1803), (2416),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (2418), (2422), (2428), (2429), (2430), (2436),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (2437), (2443), (2590), (2592), (2594), (2599),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (2600), (2626), (2627), (2628), (2630), (2631),
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            (2632), (2636), (function-axioms) are inconsistent
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1136.
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |   (2637)  all_56_15 = e1 & op(e0, e0) = e1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2637) implies:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |   (2638)  op(e0, e0) = e1
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2594), (2638), (function-axioms) are
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | |   (2639)   ~ (all_28_1 = e3) & op(e0, e2) = all_28_1 &
% 186.27/28.33  | | | | | | | | | | | | | | | | | |           $i(all_28_1)
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2437), (2639), (function-axioms) are inconsistent
% 186.27/28.33  | | | | | | | | | | | | | | | | | |            by sub-proof #1251.
% 186.27/28.33  | | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | | End of split
% 186.27/28.33  | | | | | | | | | | | 
% 186.27/28.33  | | | | | | | | | | Case 2:
% 186.27/28.33  | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | |   (2640)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.27/28.34  | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (2424), (2640) are
% 186.27/28.34  | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 186.27/28.34  | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | End of split
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | Case 2:
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | |   (2641)  all_26_2 = e1
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | COMBINE_EQS: (307), (2641) imply:
% 186.27/28.34  | | | | | | | | | |   (2642)  all_6_2 = e1
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | SIMP: (2642) implies:
% 186.27/28.34  | | | | | | | | | |   (2643)  all_6_2 = e1
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | COMBINE_EQS: (303), (2643) imply:
% 186.27/28.34  | | | | | | | | | |   (2644)  all_42_2 = e1
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | REDUCE: (340), (2643) imply:
% 186.27/28.34  | | | | | | | | | |   (2645)   ~ (all_52_2 = e1)
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | REDUCE: (342), (2643) imply:
% 186.27/28.34  | | | | | | | | | |   (2646)   ~ (all_52_3 = e1)
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | REDUCE: (348), (2643) imply:
% 186.27/28.34  | | | | | | | | | |   (2647)   ~ (all_52_12 = e1)
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | REDUCE: (377), (2643) imply:
% 186.27/28.34  | | | | | | | | | |   (2648)   ~ (e2 = e1)
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | REDUCE: (39), (2643) imply:
% 186.27/28.34  | | | | | | | | | |   (2649)  op(e3, e3) = e1
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | BETA: splitting (214) gives:
% 186.27/28.34  | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | Case 1:
% 186.27/28.34  | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | |   (2650)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 186.27/28.34  | | | | | | | | | | |             & op(e1, e2) = e1)
% 186.27/28.34  | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | REF_CLOSE: (162), (163), (2417), (2645), (2650),
% 186.27/28.34  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.34  | | | | | | | | | | |            #1322.
% 186.27/28.34  | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | Case 2:
% 186.27/28.34  | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | |   (2651)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 186.27/28.34  | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 186.27/28.34  | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | BETA: splitting (2651) gives:
% 186.27/28.34  | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | Case 1:
% 186.27/28.34  | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | |   (2652)  all_56_8 = e1 & op(e1, e1) = e1
% 186.27/28.34  | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | ALPHA: (2652) implies:
% 186.27/28.34  | | | | | | | | | | | |   (2653)  op(e1, e1) = e1
% 186.27/28.34  | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | REF_CLOSE: (8), (1803), (2653), (function-axioms) are
% 186.27/28.34  | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 186.27/28.34  | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | Case 2:
% 186.27/28.34  | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | |   (2654)  all_56_11 = e1 & op(e1, e0) = e1
% 186.27/28.34  | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | ALPHA: (2654) implies:
% 186.27/28.34  | | | | | | | | | | | |   (2655)  all_56_11 = e1
% 186.27/28.34  | | | | | | | | | | | |   (2656)  op(e1, e0) = e1
% 186.27/28.34  | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | BETA: splitting (207) gives:
% 186.27/28.34  | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | Case 1:
% 186.27/28.34  | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | |   (2657)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.27/28.34  | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 186.27/28.34  | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2418), (2646), (2657),
% 186.27/28.34  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.34  | | | | | | | | | | | | |            #1321.
% 186.27/28.34  | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | Case 2:
% 186.27/28.34  | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | |   (2658)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.27/28.34  | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.27/28.34  | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | BETA: splitting (2658) gives:
% 186.27/28.34  | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | Case 1:
% 186.27/28.34  | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | |   (2659)  all_56_14 = e1 & op(e0, e1) = e1
% 186.27/28.34  | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | ALPHA: (2659) implies:
% 186.27/28.34  | | | | | | | | | | | | | |   (2660)  all_56_14 = e1
% 186.27/28.34  | | | | | | | | | | | | | |   (2661)  op(e0, e1) = e1
% 186.27/28.34  | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 186.27/28.34  | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | Case 1:
% 186.27/28.34  | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | |   (2662)   ~ (all_28_2 = e2)
% 186.27/28.34  | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | REDUCE: (330), (2662) imply:
% 186.27/28.34  | | | | | | | | | | | | | | |   (2663)   ~ (all_14_2 = e2)
% 186.27/28.34  | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.34  | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | Case 1:
% 186.27/28.34  | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | |   (2664)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.34  | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.34  | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.34  | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.34  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.34  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34  | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.34  | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.34  | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.34  | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.34  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.34  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34  | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.34  | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.34  | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.34  | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.34  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.34  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.34  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.34  | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.34  | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.34  | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.34  | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.34  | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.34  | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.34  | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.34  | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.34  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.34  | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.34  | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | BETA: splitting (2664) gives:
% 186.27/28.34  | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.34  | | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | |   (2665)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.34  | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.34  | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.34  | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.34  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.34  | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.34  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34  | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.34  | | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | | BETA: splitting (2665) gives:
% 186.27/28.34  | | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.34  | | | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | | |   (2666)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.34  | | | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (2422), (2649), (2666),
% 186.27/28.34  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.34  | | | | | | | | | | | | | | | | | |            #1185.
% 186.27/28.34  | | | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.34  | | | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | | |   (2667)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.34  | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.34  | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.34  | | | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (1799), (2645), (2667),
% 186.27/28.34  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.34  | | | | | | | | | | | | | | | | | |            #1733.
% 186.27/28.34  | | | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | | End of split
% 186.27/28.34  | | | | | | | | | | | | | | | | | 
% 186.27/28.34  | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.34  | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | |   (2668)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.35  | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.35  | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.35  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.35  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.35  | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.35  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.35  | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.35  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.35  | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.35  | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.35  | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.35  | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.35  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.35  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.35  | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.35  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.35  | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.35  | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.35  | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.35  | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | BETA: splitting (2668) gives:
% 186.27/28.35  | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | |   (2669)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.35  | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | BETA: splitting (2669) gives:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |   (2670)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | ALPHA: (2670) implies:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |   (2671)  op(e3, e3) = e0
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2649), (2671), (function-axioms) are
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |   (2672)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |             e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               all_57_1 & $i(all_57_1)))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | ALPHA: (2672) implies:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |   (2673)  op(e0, e0) = e3
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (378), (380), (2663), (2673),
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |            #1646.
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.35  | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | |   (2674)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.35  | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | BETA: splitting (2674) gives:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |   (2675)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | ALPHA: (2675) implies:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |   (2676)  op(e2, e1) = e2
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |   (2677)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 186.27/28.35  | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | |   (2678)  all_54_15 = e3
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (380), (2678) are inconsistent by sub-proof
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | |            #1675.
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | |   (2679)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2679) gives:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | |   (2680)  all_54_15 = e2
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2663), (2680) are inconsistent by
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1648.
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | |   (2681)   ~ (all_54_15 = e2)
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | |   (2682)  all_54_15 = e1 | all_54_15 = e0
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2677) gives:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | |   (2683)  all_57_15 = e1 & op(e0, e0) = e1
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2683) implies:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | |   (2684)  op(e0, e0) = e1
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (378), (2682), (2684),
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | |            #1642.
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | |   (2685)   ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8)
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2685) implies:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | |   (2686)   ~ (all_57_8 = e0)
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2682) gives:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | |   (2687)  all_54_15 = e1
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (378), (2687) are inconsistent by sub-proof
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | |            #1660.
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | |   (2688)  all_54_15 = e0
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2688) imply:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | |   (2689)  all_14_2 = e0
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2689) implies:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | |   (2690)  all_14_2 = e0
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (2690) imply:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | |   (2691)   ~ (all_52_3 = e0)
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2663), (2690) imply:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | |   (2692)   ~ (e2 = e0)
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (2690) imply:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | |   (2693)   ~ (e1 = e0)
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2690) imply:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | |   (2694)  op(e0, e0) = e0
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |   (2695)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2695) gives:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (2696)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2696) gives:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2697)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2697) gives:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2698)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2698) implies:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2699)  op(e2, e3) = e2
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (2676), (2699),
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2700)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2700) implies:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2701)  op(e2, e3) = e2
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (2676), (2701),
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2702)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (2422), (2645), (2702),
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1678.
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (2703)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2703) gives:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2704)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1803), (2694), (2704),
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1248.
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2705)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2417), (2649), (2705), (function-axioms)
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1318.
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |   (2706)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2706) gives:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (2707)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2707) gives:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2708)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2708) gives:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2709)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2709) implies:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2710)  op(e0, e0) = e1
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2694), (2710), (function-axioms) are
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2711)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2711) implies:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2712)   ~ (all_57_12 = e1)
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2713)  op(e2, e2) = all_57_12
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2422), (2712), (2713), (function-axioms) are
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1890.
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2714)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2714) gives:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2715)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 186.27/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2715) implies:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2716)  op(e0, e0) = e1
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2694), (2716), (function-axioms) are
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2717)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2422), (2656), (2717), (function-axioms) are
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1317.
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (2718)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2718) gives:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2719)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2649), (2719), (function-axioms) are
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2720)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2720) gives:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2721)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2721) implies:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2722)   ~ (all_57_13 = e1)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2723)  op(e1, e0) = all_57_13
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2656), (2722), (2723), (function-axioms) are
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2724)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2724) gives:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2725)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2725) implies:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2726)  op(e2, e2) = e0
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2422), (2726), (function-axioms) are
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2727)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2727) implies:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2728)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2728) gives:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2729)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2729) gives:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2730)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2730) implies:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2731)  op(e2, e2) = e3
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2422), (2731), (function-axioms) are
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2732)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (2649), (2691), (2732),
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1933.
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2733)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2733) gives:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2734)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2734) implies:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2735)  op(e1, e1) = e2
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (2735), (function-axioms) are
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2736)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2736) gives:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2737)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6)
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2737) implies:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2738)  all_57_8 = e0
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2686), (2738) imply:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2739)  $false
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2739) is inconsistent.
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2740)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7)
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2740) implies:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2741)   ~ (all_57_7 = e2)
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2742)  op(e2, e1) = all_57_7
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2676), (2741), (2742), (function-axioms) are
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1718.
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |   (2743)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | ALPHA: (2743) implies:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |   (2744)  op(e1, e2) = e1
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2417), (2744), (function-axioms) are
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | End of split
% 186.27/28.38  | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38  | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | |   (2745)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.38  | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38  | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38  | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.38  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.38  | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.38  | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.38  | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.38  | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.38  | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.38  | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38  | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38  | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.38  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.38  | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.38  | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.38  | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.38  | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.38  | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.38  | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.38  | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.38  | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.38  | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.38  | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.38  | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.38  | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.38  | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.38  | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.38  | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.38  | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.38  | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.38  | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.38  | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.38  | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.38  | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.38  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.38  | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | BETA: splitting (2745) gives:
% 186.27/28.38  | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.38  | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | |   (2746)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.38  | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38  | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.38  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.38  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.38  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.38  | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.38  | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38  | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.38  | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.38  | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.38  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.38  | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.38  | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.38  | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | BETA: splitting (2746) gives:
% 186.27/28.38  | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | |   (2747)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.38  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38  | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.38  | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.38  | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.38  | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.38  | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.38  | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.38  | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.38  | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.27/28.38  | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |   (2748)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | ALPHA: (2748) implies:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |   (2749)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |             $i(all_57_13))
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2656), (2749), (function-axioms) are
% 186.27/28.38  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1271.
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.38  | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.38  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |   (2750)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | ALPHA: (2750) implies:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |   (2751)  op(e0, e0) = e2
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (378), (380), (2663), (2751),
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |            #1643.
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | |   (2752)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.39  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.39  | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | BETA: splitting (2752) gives:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |   (2753)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | ALPHA: (2753) implies:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |   (2754)  op(e1, e1) = e0
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2754), (function-axioms) are
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |   (2755)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | ALPHA: (2755) implies:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |   (2756)  op(e0, e0) = e1
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (378), (380), (2663), (2756),
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |            #1641.
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | End of split
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | |   (2757)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.39  | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.39  | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.39  | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.39  | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.39  | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.39  | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.39  | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.39  | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.39  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.39  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | BETA: splitting (2757) gives:
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | |   (2758)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.39  | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (2422), (2649), (2758),
% 186.27/28.39  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.39  | | | | | | | | | | | | | | | | | |            #1134.
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | |   (2759)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.39  | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.39  | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1803), (2656), (2759),
% 186.27/28.39  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.39  | | | | | | | | | | | | | | | | | |            #1254.
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | End of split
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | End of split
% 186.27/28.39  | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | End of split
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | Case 2:
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | |   (2760)  all_28_2 = e2
% 186.27/28.39  | | | | | | | | | | | | | | |   (2761)  ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 186.27/28.39  | | | | | | | | | | | | | | |             & op(e0, e2) = all_28_1 & $i(all_28_0) &
% 186.27/28.39  | | | | | | | | | | | | | | |             $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2)
% 186.27/28.39  | | | | | | | | | | | | | | |             = all_28_1 & $i(all_28_1))
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | COMBINE_EQS: (330), (2760) imply:
% 186.27/28.39  | | | | | | | | | | | | | | |   (2762)  all_14_2 = e2
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | SIMP: (2762) implies:
% 186.27/28.39  | | | | | | | | | | | | | | |   (2763)  all_14_2 = e2
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | REDUCE: (351), (2763) imply:
% 186.27/28.39  | | | | | | | | | | | | | | |   (2764)   ~ (all_52_3 = e2)
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | REDUCE: (370), (2763) imply:
% 186.27/28.39  | | | | | | | | | | | | | | |   (2765)   ~ (all_52_12 = e2)
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | REDUCE: (371), (2763) imply:
% 186.27/28.39  | | | | | | | | | | | | | | |   (2766)   ~ (all_52_13 = e2)
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | REDUCE: (380), (2763) imply:
% 186.27/28.39  | | | | | | | | | | | | | | |   (2767)   ~ (e3 = e2)
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | REDUCE: (51), (2763) imply:
% 186.27/28.39  | | | | | | | | | | | | | | |   (2768)  op(e0, e0) = e2
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 186.27/28.39  | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39  | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | |   (2769)   ~ (all_42_2 = e1)
% 186.27/28.39  | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | REDUCE: (2644), (2769) imply:
% 186.27/28.39  | | | | | | | | | | | | | | | |   (2770)  $false
% 186.27/28.39  | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | CLOSE: (2770) is inconsistent.
% 186.27/28.39  | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39  | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | |   (2771)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 186.27/28.39  | | | | | | | | | | | | | | | |             & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 186.27/28.39  | | | | | | | | | | | | | | | |             $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 186.27/28.39  | | | | | | | | | | | | | | | |             = all_42_1 & $i(all_42_1))
% 186.27/28.39  | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 186.27/28.39  | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | |   (2772)  all_54_6 = e3
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (2772) imply:
% 186.27/28.39  | | | | | | | | | | | | | | | | |   (2773)  all_52_9 = e3
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | REDUCE: (1800), (2773) imply:
% 186.27/28.39  | | | | | | | | | | | | | | | | |   (2774)  $false
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | CLOSE: (2774) is inconsistent.
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | |   (2775)   ~ (all_54_6 = e3)
% 186.27/28.39  | | | | | | | | | | | | | | | | |   (2776)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 186.27/28.39  | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | |   (2777)  all_54_7 = e3
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (2777) imply:
% 186.27/28.39  | | | | | | | | | | | | | | | | | |   (2778)  all_52_13 = e3
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | SIMP: (2778) implies:
% 186.27/28.39  | | | | | | | | | | | | | | | | | |   (2779)  all_52_13 = e3
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | REDUCE: (113), (2779) imply:
% 186.27/28.39  | | | | | | | | | | | | | | | | | |   (2780)   ~ (all_52_12 = e3)
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |   (2781)  all_54_3 = e3
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2780), (2781) are inconsistent by
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |   (2782)   ~ (all_54_3 = e3)
% 186.27/28.39  | | | | | | | | | | | | | | | | | | |   (2783)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |   (2784)  all_56_15 = e0 & op(e0, e0) = e0
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | ALPHA: (2784) implies:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |   (2785)  op(e0, e0) = e0
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2768), (2785), (function-axioms) are
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |   (2786)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | ALPHA: (2786) implies:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |   (2787)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.39  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |   (2788)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2788) gives:
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |   (2789)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2789) gives:
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |   (2790)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (2422), (2649), (2790),
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |            #1185.
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |   (2791)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (1799), (2645), (2791),
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |            #1733.
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |   (2792)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2792) gives:
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |   (2793)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (2649), (2768), (2793),
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | |            #1369.
% 186.27/28.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |   (2794)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2794) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |   (2795)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2795) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |   (2796)  op(e2, e1) = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2783) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (2797)  all_54_3 = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2765), (2797) are inconsistent by
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1689.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (2798)  all_54_3 = e1 | all_54_3 = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2799)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (160), (168),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (212), (221), (223), (380), (1802), (2422),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2780), (2799), (function-axioms) are inconsistent
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1163.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2800)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2800) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2801)  all_56_5 = e3 & op(e2, e1) = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2801) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2802)  op(e2, e1) = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1800), (2802), (function-axioms) are
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2803)  all_56_10 = e3 & op(e2, e0) = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2803) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2804)  all_56_10 = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2805)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2805) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2806)  all_56_0 = e3 & op(e3, e3) = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2806) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2807)  op(e3, e3) = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2649), (2807), (function-axioms) are
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2808)  all_56_1 = e3 & op(e3, e2) = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2808) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2809)  all_56_1 = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2810)  op(e3, e2) = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2811)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (2649), (2810), (2811),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1211.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2812)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2812) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2813)  all_56_4 = e2 & op(e3, e1) = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2813) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2814)  all_56_4 = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (117), (146), (164),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (217), (218), (219), (223), (1803),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2422), (2660), (2796), (2814), (function-axioms)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1132.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2815)  all_56_9 = e2 & op(e3, e0) = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2815) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2816)  all_56_9 = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2817)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (2649), (2809), (2817),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1131.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2818)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2818) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2819)  all_56_4 = e0 & op(e3, e1) = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2819) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2820)  all_56_4 = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2821)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2821) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2822)  all_56_4 = e2 & op(e3, e1) = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2822) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2823)  all_56_4 = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (117), (146), (164),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (217), (218), (219), (223), (1803),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2422), (2660), (2796), (2823), (function-axioms)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1132.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2824)  all_56_5 = e2 & op(e2, e1) = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2824) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2825)  all_56_5 = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2787) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2826)  all_56_9 = e0 & op(e3, e0) = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2826) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2827)  all_56_9 = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2816), (2827) imply:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2828)  e2 = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2825), (2828) imply:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2829)  all_56_5 = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (1803),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2820), (2829), (function-axioms) are inconsistent
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1153.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2830)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2830) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2831)  all_56_10 = e0 & op(e2, e0) = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2804), (2831) are inconsistent by sub-proof
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1548.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2832)  all_56_11 = e0 & op(e1, e0) = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2832) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2833)  op(e1, e0) = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (2647), (2798), (2833),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1687.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2834)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2834) gives:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2835)  all_56_8 = e2 & op(e1, e1) = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2835) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2836)  op(e1, e1) = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1803), (2836), (function-axioms) are
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2837)  all_56_14 = e2 & op(e0, e1) = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2837) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2838)  all_56_14 = e2
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (2646), (2768), (2838),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1228.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2839)  all_56_9 = e0 & op(e3, e0) = e0
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2816), (2839) are inconsistent by sub-proof
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1572.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2840)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (1799), (2780), (2840),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1296.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |   (2841)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2841) implies:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |   (2842)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (169), (236), (1799), (2649),
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |            (2780), (2842), (function-axioms) are inconsistent
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1130.
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.41  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |   (2843)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2843) gives:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |   (2844)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2844) gives:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |   (2845)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2845) gives:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (2846)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2846) implies:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (2847)  op(e2, e0) = e2
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2766), (2847), (function-axioms) are
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (2848)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2848) implies:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (2849)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (169), (236), (1799), (2649),
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |            (2780), (2849), (function-axioms) are inconsistent
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1130.
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |   (2850)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2850) gives:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (2851)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2851) implies:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (2852)  op(e1, e1) = e0
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1803), (2852), (function-axioms) are
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (2853)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (2647), (2765), (2783),
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |            (2853), (function-axioms) are inconsistent by
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1129.
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |   (2854)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2854) gives:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |   (2855)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |   (2856)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2856) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |   (2857)  op(e3, e3) = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2649), (2857), (function-axioms) are
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |   (2858)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2858) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |   (2859)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (169), (236), (1799), (2649),
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |            (2780), (2859), (function-axioms) are inconsistent
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1130.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |   (2860)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1803), (2656), (2860),
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |            #1254.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.43  | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | |   (2861)   ~ (all_54_7 = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | |   (2862)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | REDUCE: (260), (2861) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | |   (2863)   ~ (all_52_13 = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | BETA: splitting (2862) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | |   (2864)  all_54_7 = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (2766), (2864) are inconsistent by
% 186.27/28.43  | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | |   (2865)   ~ (all_54_7 = e2)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | |   (2866)  all_54_7 = e1 | all_54_7 = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | |   (2867)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2867) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | |   (2868)  all_56_2 = e3 & op(e2, e3) = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2868) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | |   (2869)  all_56_2 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | |   (2870)  op(e2, e3) = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2866) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | |   (2871)  all_54_7 = e1
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (2420), (2871) are inconsistent by
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1446.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | |   (2872)  all_54_7 = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (2872) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | |   (2873)  all_52_13 = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2873) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | |   (2874)  all_52_13 = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (2874) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | |   (2875)   ~ (all_52_1 = e0)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (2874) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | |   (2876)   ~ (all_52_9 = e0)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2874) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | |   (2877)   ~ (all_52_12 = e0)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2766), (2874) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | |   (2878)   ~ (e2 = e0)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2420), (2874) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | |   (2879)   ~ (e1 = e0)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |   (2880)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (2422), (2870), (2880),
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |            #1167.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |   (2881)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2881) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |   (2882)  all_56_5 = e2 & op(e2, e1) = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2882) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | |   (2883)  all_56_5 = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (2884)  all_54_3 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2884) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (2885)  all_52_12 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2885) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (2886)  all_52_12 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2886) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (2887)   ~ (all_52_4 = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2888)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (2422), (2887), (2888),
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1347.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2889)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2889) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2890)  all_56_7 = e3 & op(e1, e2) = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2890) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2891)  op(e1, e2) = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1798), (2891), (function-axioms) are
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2892)  all_56_13 = e3 & op(e0, e2) = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2892) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2893)  all_56_13 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2894)  op(e0, e2) = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2895)  all_56_15 = e0 & op(e0, e0) = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2895) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2896)  op(e0, e0) = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2768), (2896), (function-axioms) are
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2897)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2897) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2898)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2899)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2899) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2900)  all_56_9 = e3 & op(e3, e0) = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2900) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2901)  all_56_9 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2898) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2902)  all_56_12 = e0 & op(e0, e3) = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2902) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2903)  op(e0, e3) = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2904)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2904) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2905)  all_56_4 = e0 & op(e3, e1) = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2905) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2906)  all_56_4 = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2907)  op(e3, e1) = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2776) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2908)  all_54_6 = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (2908) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2909)  all_52_9 = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2909) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2910)  all_52_9 = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2910) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2911)   ~ (all_52_1 = e2)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2910) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2912)  op(e2, e1) = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2913)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2913) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2914)  all_56_0 = e2 & op(e3, e3) = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2914) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2915)  op(e3, e3) = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2649), (2915), (function-axioms) are
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2916)  all_56_1 = e2 & op(e3, e2) = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2916) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2917)  all_56_1 = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2918)  op(e3, e2) = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2919)  all_54_4 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2919) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2920)  all_52_1 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2920) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2921)  all_52_1 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2921) imply:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2922)   ~ (all_52_3 = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2922) implies:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2923)   ~ (all_52_3 = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2924)  all_54_12 = e3
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2923), (2924) are inconsistent by
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1466.
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2925)   ~ (all_54_12 = e3)
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2926)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2926) gives:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2927)  all_54_12 = e2
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2764), (2927) are inconsistent by
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1465.
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2928)   ~ (all_54_12 = e2)
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2929)  all_54_12 = e1 | all_54_12 = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2930)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (2649), (2911), (2930),
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1469.
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2931)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2931) gives:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2932)  all_56_6 = e2 & op(e1, e3) = e2
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2932) implies:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2933)  all_56_6 = e2
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2934)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2934) gives:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2935)  all_56_6 = e0 & op(e1, e3) = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2935) implies:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2936)  all_56_6 = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2933), (2936) imply:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2937)  e2 = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2883), (2937) imply:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2938)  all_56_5 = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (1803),
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2906), (2938), (function-axioms) are inconsistent
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1153.
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2939)  all_56_7 = e0 & op(e1, e2) = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2939) implies:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2940)  all_56_7 = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2941)  op(e1, e2) = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2929) gives:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2942)  all_54_12 = e1
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2646), (2942) are inconsistent by
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1464.
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2943)  all_54_12 = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2943) imply:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2944)  all_52_3 = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2944) implies:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2945)  all_52_3 = e0
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2945) imply:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2946)   ~ (all_52_2 = e0)
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2923), (2945) imply:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2947)   ~ (e3 = e0)
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2948)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2948) gives:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2949)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2949) gives:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2950)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (2422), (2918), (2950),
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1143.
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2951)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (1799), (2645), (2951),
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1733.
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2952)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2952) gives:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2953)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (2649), (2877), (2953),
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1732.
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2954)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2954) gives:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2955)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2955) implies:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2956)  op(e1, e2) = e2
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2771) gives:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (2941), (2956) gives:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2957)  e2 = e0
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2917), (2957) imply:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2958)  all_56_1 = e0
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (2422), (2893), (2940),
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2958), (function-axioms) are inconsistent by
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1149.
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2959)   ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_42_1)
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2907), (2959), (function-axioms) are inconsistent
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1243.
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2960)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2960) implies:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2961)  op(e1, e2) = e1
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2417), (2961), (function-axioms) are
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2962)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2962) gives:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2963)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2963) gives:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2964)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2964) gives:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2965)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2965) implies:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2966)  op(e2, e0) = e2
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (2912), (2966),
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2967)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2967) implies:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2968)  op(e0, e2) = e0
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (73), (2760), (2894), (2968),
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1666.
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2969)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (9), (160), (162), (216), (1798),
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1802), (2768), (2933), (2969), (function-axioms)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1128.
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2970)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2970) gives:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2971)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2971) gives:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2972)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2972) implies:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2973)  op(e3, e3) = e3
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (2869), (2946), (2973), (function-axioms)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1720.
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2974)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2974) implies:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2975)  op(e2, e2) = e2
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (158), (225), (226), (2418),
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2893), (2917), (2975), (function-axioms) are
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1155.
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2976)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1803), (2656), (2976),
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1254.
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2977)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2977) gives:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2978)  all_56_8 = e0 & op(e1, e1) = e0
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2978) implies:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2979)  op(e1, e1) = e0
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (1798), (1802),
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2933), (2979), (function-axioms) are inconsistent
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1405.
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2980)  all_56_11 = e0 & op(e1, e0) = e0
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2655), (2980) are inconsistent by sub-proof
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1202.
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2981)  all_56_12 = e2 & op(e0, e3) = e2
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (207), (2761),
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2768), (2893), (2894), (2981), (function-axioms)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1125.
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2982)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2415), (2875), (2911), (2982) are
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2983)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2983) gives:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2984)  all_56_4 = e2 & op(e3, e1) = e2
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2984) implies:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2985)  all_56_4 = e2
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2906), (2985) imply:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2986)  e2 = e0
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2986) implies:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2987)  e2 = e0
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2883), (2987) imply:
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2988)  all_56_5 = e0
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (1803),
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2906), (2988), (function-axioms) are inconsistent
% 186.27/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1153.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2989)  all_56_9 = e2 & op(e3, e0) = e2
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2989) implies:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2990)  all_56_9 = e2
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2901), (2990) imply:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2991)  e3 = e2
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2991) implies:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2992)  e3 = e2
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2893), (2992) imply:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2993)  all_56_13 = e2
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (206), (209), (2660),
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2768), (2993), (function-axioms) are inconsistent
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1122.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2994)  all_54_6 = e1 | all_54_6 = e0
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (261), (2661), (2876), (2994),
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1451.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2995)  all_56_5 = e0 & op(e2, e1) = e0
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2883), (2995) are inconsistent by sub-proof
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1121.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2996)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (1803), (2903), (2996),
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1120.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2997)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2997) gives:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2998)  all_56_13 = e0 & op(e0, e2) = e0
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2998) implies:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2999)  op(e0, e2) = e0
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (73), (2760), (2894), (2999),
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1666.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3000)  all_56_14 = e0 & op(e0, e1) = e0
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2660), (3000) are inconsistent by sub-proof
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1207.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3001)  all_56_10 = e3 & op(e2, e0) = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3001) implies:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3002)  all_56_10 = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (2422),
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2869), (2870), (3002), (function-axioms) are
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1165.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3003)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (1802), (2768), (3003),
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1119.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (3004)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (2656), (2765), (2877),
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (3004), (function-axioms) are inconsistent by
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1290.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | |   (3005)  all_56_10 = e2 & op(e2, e0) = e2
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3005) implies:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | |   (3006)  op(e2, e0) = e2
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2766), (3006), (function-axioms) are
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | |   (3007)  all_56_3 = e3 & op(e2, e2) = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3007) implies:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | |   (3008)  op(e2, e2) = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2422), (3008), (function-axioms) are
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |   (3009)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (1800), (2863), (3009),
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |            #1455.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | |   (3010)  all_56_15 = e1 & op(e0, e0) = e1
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | ALPHA: (3010) implies:
% 186.27/28.47  | | | | | | | | | | | | | |   (3011)  op(e0, e0) = e1
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | REF_CLOSE: (51), (378), (3011), (function-axioms) are
% 186.27/28.47  | | | | | | | | | | | | | |            inconsistent by sub-proof #1967.
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | 
% 186.27/28.47  | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | 
% 186.27/28.47  | | | | | | | End of split
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | Case 2:
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | |   (3012)  all_18_2 = e3
% 186.27/28.47  | | | | | | |   (3013)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 186.27/28.47  | | | | | | |             op(e0, e3) = all_18_1 & $i(all_18_0) & $i(all_18_1)) |
% 186.27/28.47  | | | | | | |           ( ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 186.27/28.47  | | | | | | |             $i(all_18_1))
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | | COMBINE_EQS: (301), (3012) imply:
% 186.27/28.47  | | | | | | |   (3014)  all_14_2 = e3
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | | COMBINE_EQS: (299), (3014) imply:
% 186.27/28.47  | | | | | | |   (3015)  all_48_2 = e3
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | | REDUCE: (351), (3014) imply:
% 186.27/28.47  | | | | | | |   (3016)   ~ (all_52_3 = e3)
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | | REDUCE: (362), (3014) imply:
% 186.27/28.47  | | | | | | |   (3017)   ~ (all_52_7 = e3)
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | | REDUCE: (369), (3014) imply:
% 186.27/28.47  | | | | | | |   (3018)   ~ (all_52_11 = e3)
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | | REDUCE: (370), (3014) imply:
% 186.27/28.47  | | | | | | |   (3019)   ~ (all_52_12 = e3)
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | | REDUCE: (371), (3014) imply:
% 186.27/28.47  | | | | | | |   (3020)   ~ (all_52_13 = e3)
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | | REDUCE: (372), (3014) imply:
% 186.27/28.47  | | | | | | |   (3021)   ~ (all_52_14 = e3)
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | | BETA: splitting (212) gives:
% 186.27/28.47  | | | | | | | 
% 186.27/28.47  | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | 
% 186.27/28.47  | | | | | | | |   (3022)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 186.27/28.47  | | | | | | | |             op(e2, e0) = e3)
% 186.27/28.47  | | | | | | | | 
% 186.27/28.47  | | | | | | | | REF_CLOSE: (164), (168), (3019), (3020), (3022),
% 186.27/28.47  | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.47  | | | | | | | |            #1118.
% 186.27/28.47  | | | | | | | | 
% 186.27/28.47  | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | 
% 186.27/28.47  | | | | | | | |   (3023)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 186.27/28.47  | | | | | | | |             op(e0, e0) = e3)
% 186.27/28.47  | | | | | | | | 
% 186.27/28.47  | | | | | | | | BETA: splitting (3023) gives:
% 186.27/28.47  | | | | | | | | 
% 186.27/28.47  | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | 
% 186.27/28.47  | | | | | | | | |   (3024)  all_56_11 = e3 & op(e1, e0) = e3
% 186.27/28.47  | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | REF_CLOSE: (160), (3021), (3024), (function-axioms) are
% 186.27/28.47  | | | | | | | | |            inconsistent by sub-proof #1407.
% 186.27/28.47  | | | | | | | | | 
% 186.27/28.47  | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | 
% 186.27/28.47  | | | | | | | | |   (3025)  all_56_15 = e3 & op(e0, e0) = e3
% 186.27/28.47  | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | ALPHA: (3025) implies:
% 186.27/28.47  | | | | | | | | |   (3026)  all_56_15 = e3
% 186.27/28.47  | | | | | | | | |   (3027)  op(e0, e0) = e3
% 186.27/28.47  | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | BETA: splitting (61) gives:
% 186.27/28.47  | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | |   (3028)   ~ (all_20_2 = e3)
% 186.27/28.47  | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | REDUCE: (325), (3028) imply:
% 186.27/28.47  | | | | | | | | | |   (3029)   ~ (all_10_2 = e3)
% 186.27/28.47  | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | BETA: splitting (64) gives:
% 186.27/28.47  | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | |   (3030)   ~ (all_22_2 = e0)
% 186.27/28.47  | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | REDUCE: (251), (3030) imply:
% 186.27/28.47  | | | | | | | | | | |   (3031)   ~ (all_10_2 = e0)
% 186.27/28.47  | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | BETA: splitting (194) gives:
% 186.27/28.47  | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | |   (3032)  all_54_10 = e3
% 186.27/28.47  | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | COMBINE_EQS: (336), (3032) imply:
% 186.27/28.47  | | | | | | | | | | | |   (3033)  all_10_2 = e3
% 186.27/28.47  | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | REDUCE: (3029), (3033) imply:
% 186.27/28.47  | | | | | | | | | | | |   (3034)  $false
% 186.27/28.47  | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | CLOSE: (3034) is inconsistent.
% 186.27/28.47  | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | |   (3035)   ~ (all_54_10 = e3)
% 186.27/28.47  | | | | | | | | | | | |   (3036)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.27/28.47  | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | BETA: splitting (3036) gives:
% 186.27/28.47  | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | |   (3037)  all_54_10 = e2
% 186.27/28.47  | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | COMBINE_EQS: (336), (3037) imply:
% 186.27/28.47  | | | | | | | | | | | | |   (3038)  all_10_2 = e2
% 186.27/28.47  | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | REDUCE: (375), (3038) imply:
% 186.27/28.47  | | | | | | | | | | | | |   (3039)  $false
% 186.27/28.47  | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | CLOSE: (3039) is inconsistent.
% 186.27/28.47  | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | |   (3040)   ~ (all_54_10 = e2)
% 186.27/28.47  | | | | | | | | | | | | |   (3041)  all_54_10 = e1 | all_54_10 = e0
% 186.27/28.47  | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | BETA: splitting (3041) gives:
% 186.27/28.47  | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | |   (3042)  all_54_10 = e1
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | COMBINE_EQS: (336), (3042) imply:
% 186.27/28.47  | | | | | | | | | | | | | |   (3043)  all_10_2 = e1
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | REDUCE: (350), (3043) imply:
% 186.27/28.47  | | | | | | | | | | | | | |   (3044)   ~ (all_52_2 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | REDUCE: (361), (3043) imply:
% 186.27/28.47  | | | | | | | | | | | | | |   (3045)   ~ (all_52_6 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | REDUCE: (363), (3043) imply:
% 186.27/28.47  | | | | | | | | | | | | | |   (3046)   ~ (all_52_8 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | REDUCE: (364), (3043) imply:
% 186.27/28.47  | | | | | | | | | | | | | |   (3047)   ~ (all_52_9 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | REDUCE: (366), (3043) imply:
% 186.27/28.47  | | | | | | | | | | | | | |   (3048)   ~ (all_52_11 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | REDUCE: (368), (3043) imply:
% 186.27/28.47  | | | | | | | | | | | | | |   (3049)   ~ (all_52_14 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | REDUCE: (3029), (3043) imply:
% 186.27/28.47  | | | | | | | | | | | | | |   (3050)   ~ (e3 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | REDUCE: (375), (3043) imply:
% 186.27/28.47  | | | | | | | | | | | | | |   (3051)   ~ (e2 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | REDUCE: (45), (3043) imply:
% 186.27/28.47  | | | | | | | | | | | | | |   (3052)  op(e1, e1) = e1
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 186.27/28.47  | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | |   (3053)   ~ (all_24_2 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | REDUCE: (318), (3053) imply:
% 186.27/28.47  | | | | | | | | | | | | | | |   (3054)   ~ (all_4_2 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 186.27/28.47  | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | |   (3055)   ~ (all_26_2 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | REDUCE: (307), (3055) imply:
% 186.27/28.47  | | | | | | | | | | | | | | | |   (3056)   ~ (all_6_2 = e1)
% 186.27/28.47  | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 186.27/28.47  | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | |   (3057)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.47  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.47  | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.47  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.47  | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.47  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.47  | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 186.27/28.47  | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 186.27/28.47  | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 186.27/28.47  | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.27/28.47  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.27/28.47  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 186.27/28.47  | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 186.27/28.47  | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 186.27/28.47  | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 186.27/28.47  | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 186.27/28.47  | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 186.27/28.47  | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 186.27/28.47  | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.27/28.47  | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.27/28.47  | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.27/28.47  | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.27/28.47  | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | BETA: splitting (3057) gives:
% 186.27/28.47  | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | |   (3058)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.47  | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.47  | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 186.27/28.47  | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | BETA: splitting (3058) gives:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | |   (3059)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.27/28.47  | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | BETA: splitting (3059) gives:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |   (3060)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | ALPHA: (3060) implies:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |   (3061)  op(e1, e1) = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3052), (3061), (function-axioms) are
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |   (3062)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | ALPHA: (3062) implies:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |   (3063)  all_57_15 = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |   (3064)  all_57_0 = e2
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |   (3065)   ~ (all_57_2 = e0)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |   (3066)  op(e0, e3) = all_57_2
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |   (3067)  op(e2, e2) = all_57_12
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | |   (3068)  op(e2, e3) = e2
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | |   (3069)  all_54_0 = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3069) imply:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | |   (3070)  all_6_2 = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | REDUCE: (338), (3070) imply:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | |   (3071)   ~ (all_52_1 = e3)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3070) imply:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | |   (3072)  op(e3, e3) = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | |   (3073)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3073) gives:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | |   (3074)  all_56_2 = e3 & op(e2, e3) = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3074) implies:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | |   (3075)  all_56_2 = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | |            (233), (3044), (3072), (3075), (function-axioms)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1216.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | |   (3076)  all_56_3 = e3 & op(e2, e2) = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3076) implies:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | |   (3077)  op(e2, e2) = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3077), (function-axioms) are
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | |   (3078)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3078) gives:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | |   (3079)  all_56_5 = e3 & op(e2, e1) = e3
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3079) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | |   (3080)  all_56_5 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | |   (3081)  op(e2, e1) = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | |   (3082)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3082) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3083)  all_56_6 = e3 & op(e1, e3) = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3083) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3084)  all_56_6 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3085)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3085) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3086)  all_56_1 = e3 & op(e3, e2) = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3086) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3087)  all_56_1 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3088)  op(e3, e2) = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (232),
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (3046), (3072), (3087), (3088),
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1871.
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3089)  all_56_3 = e3 & op(e2, e2) = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3089) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3090)  op(e2, e2) = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3090), (function-axioms) are
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3091)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3091) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3092)  all_56_7 = e3 & op(e1, e2) = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3092) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3093)  all_56_7 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (215),
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (3052), (3084), (3093), (function-axioms)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1116.
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3094)  all_56_13 = e3 & op(e0, e2) = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3094) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3095)  all_56_13 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (207),
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (3026), (3027), (3048), (3095),
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1113.
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3096)  all_56_7 = e3 & op(e1, e2) = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3096) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3097)  all_56_7 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3098)  op(e1, e2) = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2, e3, e0, simplifying with (159), (3066)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3099)  all_57_2 = all_52_3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (3098) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3100)  all_52_6 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (3081) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3101)  all_52_9 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12, e2, e2, simplifying with (36), (3067)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3102)  all_57_12 = all_4_2
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (3068) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3103)  all_52_1 = e2
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3065), (3099) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3104)   ~ (all_52_3 = e0)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3103) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3105)   ~ (all_52_2 = e2)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3105) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3106)   ~ (all_52_2 = e2)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3103) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3107)   ~ (all_52_3 = e2)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3107) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3108)   ~ (all_52_3 = e2)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3103) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3109)   ~ (all_52_13 = e2)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3109) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3110)   ~ (all_52_13 = e2)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (3103) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3111)   ~ (all_4_2 = e2)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3111) implies:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3112)   ~ (all_4_2 = e2)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3071), (3103) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3113)   ~ (e3 = e2)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3100) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3114)   ~ (all_52_2 = e3)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3100) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3115)   ~ (all_52_4 = e3)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3100) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3116)   ~ (all_52_7 = e3)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3100) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3117)   ~ (all_52_14 = e3)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3101) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3118)   ~ (all_52_11 = e3)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3101) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3119)   ~ (all_52_13 = e3)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (3101) imply:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (3120)   ~ (all_4_2 = e3)
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3121)  all_54_8 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3114), (3121) are inconsistent by
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3122)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3123)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3123) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3124)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3124) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3125)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (3072), (3125),
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1112.
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3126)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (3044), (3072), (3126),
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1672.
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3127)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3127) gives:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3128)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3065), (3066), (3072), (3128),
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1111.
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3129)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3045), (3054), (3129),
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1110.
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.27/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3130)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3130) gives:
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3131)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3131) gives:
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3132)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 186.86/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (3027), (3110), (3132),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1109.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3133)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3027), (3048), (3133),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1108.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3134)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3134) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3135)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3135) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3136)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3136) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3137)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3064), (3137), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1664.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3138)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3102), (3112), (3138) are inconsistent by
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1107.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3139)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3139) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3140)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3140) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3141)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3142)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3142) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3143)  all_56_0 = e2 & op(e3, e3) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3143) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3144)  op(e3, e3) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3072), (3144), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3145)  all_56_2 = e2 & op(e2, e3) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3145) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3146)  all_56_2 = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3147)  all_54_5 = e3
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (3147) are inconsistent by sub-proof
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1948.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3148)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3149)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3149) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3150)  all_56_2 = e1 & op(e2, e3) = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3150) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3151)  all_56_2 = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3146), (3151) are inconsistent by sub-proof
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1855.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3152)  all_56_3 = e1 & op(e2, e2) = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3152) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3153)  op(e2, e2) = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (3054), (3153), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3154)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3154) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3155)  all_56_5 = e1 & op(e2, e1) = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3155) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3156)  op(e2, e1) = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3047), (3156), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3157)  all_56_10 = e1 & op(e2, e0) = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3157) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3158)  all_56_10 = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3148) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3159)  all_54_5 = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3112), (3159) are inconsistent by
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1106.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3160)  all_54_5 = e1 | all_54_5 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3141) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3161)  all_57_15 = e1 & op(e0, e0) = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3161) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3162)  op(e0, e0) = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3027), (3162), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3163)   ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3163) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3164)  op(e0, e1) = all_57_8
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3165)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3165) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3166)  all_56_6 = e2 & op(e1, e3) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3166) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3167)  all_56_6 = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3168)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3168) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3169)  all_56_2 = e0 & op(e2, e3) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3169) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3170)  all_56_2 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3146), (3170) are inconsistent by sub-proof
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1715.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3171)  all_56_3 = e0 & op(e2, e2) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3171) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3172)  op(e2, e2) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3173)  all_54_12 = e3
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3016), (3173) are inconsistent by
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1466.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3174)   ~ (all_54_12 = e3)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3175)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3175) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3176)  all_54_12 = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3108), (3176) are inconsistent by
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1465.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3177)   ~ (all_54_12 = e2)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3178)  all_54_12 = e1 | all_54_12 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3178) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3179)  all_54_12 = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3179) imply:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3180)  all_52_3 = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3180) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3181)  all_52_3 = e1
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3181) imply:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3182)   ~ (all_52_7 = e1)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3182) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3183)   ~ (all_52_7 = e1)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3184)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3184) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3185)  all_56_9 = e2 & op(e3, e0) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3185) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3186)  all_56_9 = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3187)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3187) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3188)  all_56_0 = e0 & op(e3, e3) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3188) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3189)  op(e3, e3) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3072), (3189), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3190)  all_56_2 = e0 & op(e2, e3) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3190) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3191)  all_56_2 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3146), (3191) imply:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3192)  e2 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3192) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3193)  e2 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (135), (158), (162),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (203), (214), (215), (216), (217), (226),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (248), (268), (272), (352), (356), (3017),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3027), (3045), (3054), (3072), (3080), (3097),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3115), (3141), (3160), (3164), (3167), (3172),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3183), (3186), (3193), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1099.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3194)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3194) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3195)  all_56_6 = e0 & op(e1, e3) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3195) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3196)  all_56_6 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3167), (3196) imply:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3197)  e2 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (135), (158), (162),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (203), (214), (215), (216), (217), (226),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (248), (268), (272), (352), (356), (3017),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3027), (3045), (3054), (3072), (3080), (3097),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3115), (3141), (3160), (3164), (3167), (3172),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3183), (3186), (3197), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1099.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3198)  all_56_12 = e0 & op(e0, e3) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3198) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3199)  op(e0, e3) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3065), (3066), (3199), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1526.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3200)  all_56_10 = e2 & op(e2, e0) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3200) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3201)  op(e2, e0) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3110), (3201), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3202)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3203)  all_56_11 = e2 & op(e1, e0) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3203) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3204)  all_56_11 = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (135), (140), (158), (162),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (192), (203), (206), (213), (214), (215),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (217), (226), (234), (248), (249), (268),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (272), (352), (356), (3016), (3017), (3026),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3027), (3045), (3052), (3054), (3072), (3080),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3097), (3104), (3108), (3115), (3141), (3158),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3160), (3164), (3172), (3204), (function-axioms)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1096.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3205)  all_56_15 = e2 & op(e0, e0) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3205) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3206)  op(e0, e0) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3027), (3206), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3207)  all_54_12 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3104), (3207) are inconsistent by
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1098.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3208)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3208) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3209)  all_56_5 = e0 & op(e2, e1) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3209) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3210)  all_56_5 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3080), (3210) imply:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3211)  e3 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3097), (3211) imply:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3212)  all_56_7 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (216),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (3021), (3048), (3080),
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3167), (3212), (function-axioms) are inconsistent
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1090.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3213)  all_56_10 = e0 & op(e2, e0) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3213) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3214)  all_56_10 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3158), (3214) are inconsistent by sub-proof
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1411.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3215)  all_56_7 = e2 & op(e1, e2) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3097), (3215) are inconsistent by sub-proof
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1925.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3216)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3216) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3217)  all_56_8 = e2 & op(e1, e1) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3217) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3218)  op(e1, e1) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3052), (3218), (function-axioms) are
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3219)  all_56_11 = e2 & op(e1, e0) = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3219) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3220)  all_56_11 = e2
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3221)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3221) gives:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3222)  all_56_2 = e0 & op(e2, e3) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3222) implies:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3223)  all_56_2 = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3146), (3223) are inconsistent by sub-proof
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1715.
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3224)  all_56_3 = e0 & op(e2, e2) = e0
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3224) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3225)  op(e2, e2) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (135), (140), (158), (162),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (192), (203), (206), (213), (214), (215),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (217), (226), (234), (248), (249), (268),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (272), (352), (356), (3016), (3017), (3026),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3027), (3045), (3052), (3054), (3072), (3080),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3097), (3104), (3108), (3115), (3141), (3158),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3160), (3164), (3220), (3225), (function-axioms)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1096.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3226)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3226) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3227)  all_56_5 = e0 & op(e2, e1) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3080), (3227) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1499.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3228)  all_56_10 = e0 & op(e2, e0) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3228) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3229)  all_56_10 = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3158), (3229) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1411.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3230)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3230) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3231)  all_56_6 = e2 & op(e1, e3) = e2
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3231) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3232)  all_56_6 = e2
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3233)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3233) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3234)  all_56_6 = e0 & op(e1, e3) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3232), (3234) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1601.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3235)  all_56_7 = e0 & op(e1, e2) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3235) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3236)  all_56_7 = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (216),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (3021), (3048), (3080),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3232), (3236), (function-axioms) are inconsistent
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1090.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3237)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3237) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3238)  all_56_8 = e0 & op(e1, e1) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3238) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3239)  op(e1, e1) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3052), (3239), (function-axioms) are
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3240)  all_56_11 = e0 & op(e1, e0) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3240) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3241)  op(e1, e0) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (3044), (3106), (3122),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3241), (function-axioms) are inconsistent by
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1256.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3242)  all_56_12 = e2 & op(e0, e3) = e2
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3242) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3243)  all_56_12 = e2
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3244)  all_54_5 = e3
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (3244) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1948.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3245)   ~ (all_54_5 = e3)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3246)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3247)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3247) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3248)  all_56_12 = e1 & op(e0, e3) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3248) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3249)  all_56_12 = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3243), (3249) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3250)  all_56_13 = e1 & op(e0, e2) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3250) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3251)  all_56_13 = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3252)  op(e0, e2) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3253)  all_54_12 = e3
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3016), (3253) are inconsistent by
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1466.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3254)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3255)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3255) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3256)  all_56_2 = e1 & op(e2, e3) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (135), (140), (168),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (203), (206), (212), (215), (221), (223),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (248), (249), (268), (272), (352), (356),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (3017), (3019), (3026), (3027), (3052),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3054), (3065), (3066), (3072), (3080), (3097),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3104), (3108), (3112), (3115), (3141), (3246),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3251), (3254), (3256), (function-axioms) are
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1082.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3257)  all_56_3 = e1 & op(e2, e2) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3257) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3258)  op(e2, e2) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (3054), (3258), (function-axioms) are
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3259)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3259) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3260)  all_56_5 = e1 & op(e2, e1) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3260) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3261)  op(e2, e1) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3047), (3261), (function-axioms) are
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3262)  all_56_10 = e1 & op(e2, e0) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3262) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3263)  all_56_10 = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3264)  op(e2, e0) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3265)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3265) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3266)  all_56_0 = e1 & op(e3, e3) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3266) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3267)  op(e3, e3) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (36), (79), (85), (110),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (113), (117), (120), (121), (125), (126),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (133), (134), (135), (136), (139), (140),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (141), (143), (144), (145), (146), (148), (149),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (162), (163), (164),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (168), (169), (170), (192), (193),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (195), (196), (199), (200), (201), (202), (203),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (211), (213), (215), (216), (217), (218),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (222), (223), (224), (226), (227),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (238), (239), (249), (250), (258), (259),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (268), (269), (270), (271), (272), (309), (314),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (352), (354), (358), (360), (373), (3018),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3019), (3020), (3021), (3026), (3027), (3044),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3046), (3052), (3251), (3252), (3263), (3264),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3267), (function-axioms) are inconsistent by
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1053.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3268)  all_56_2 = e1 & op(e2, e3) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (135), (140), (168),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (203), (206), (212), (215), (221), (223),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (248), (249), (268), (272), (352), (356),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (3017), (3019), (3026), (3027), (3052),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3054), (3065), (3066), (3072), (3080), (3097),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3104), (3108), (3112), (3115), (3141), (3246),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3251), (3254), (3268), (function-axioms) are
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1082.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3269)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3269) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3270)  all_56_6 = e1 & op(e1, e3) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3270) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3271)  op(e1, e3) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3044), (3271), (function-axioms) are
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3272)  all_56_12 = e1 & op(e0, e3) = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3272) implies:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3273)  all_56_12 = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3243), (3273) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3274)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3027), (3048), (3274),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1114.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3275)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3063), (3275) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1076.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | |   (3276)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (217),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (3021), (3048), (3080), (3276),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | |            #1091.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | |   (3277)  all_56_10 = e3 & op(e2, e0) = e3
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3020), (3277), (function-axioms) are
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | |   (3278)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3056), (3278) are
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |   (3279)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (3044), (3279),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |            #1973.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | |   (3280)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 186.86/28.50  | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.86/28.50  | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 186.86/28.50  | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | BETA: splitting (3280) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |   (3281)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3027), (3052), (3281),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |            #1081.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |   (3282)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3045), (3054), (3282),
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |            #1968.
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.50  | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.50  | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | |   (3283)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.50  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.50  | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.50  | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 186.86/28.50  | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.50  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.50  | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.86/28.50  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 186.86/28.50  | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 186.86/28.50  | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 186.86/28.50  | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 186.86/28.50  | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 186.86/28.50  | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 186.86/28.50  | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 186.86/28.50  | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.50  | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.50  | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.50  | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.86/28.50  | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.50  | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.86/28.50  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.86/28.50  | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.50  | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.86/28.50  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.86/28.50  | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.50  | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.50  | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | BETA: splitting (3283) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | |   (3284)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.50  | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.50  | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.50  | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 186.86/28.50  | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | BETA: splitting (3284) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |   (3285)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.50  | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (3285) gives:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.50  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3286)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | ALPHA: (3286) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3287)  op(e0, e0) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3027), (3287), (function-axioms) are
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3288)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | ALPHA: (3288) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3289)  op(e3, e3) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (3056), (3289),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            #1052.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3290)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3019), (3027), (3290),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |            #1189.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | |   (3291)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.51  | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 186.86/28.51  | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 186.86/28.51  | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 186.86/28.51  | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.51  | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.51  | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | BETA: splitting (3291) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3292)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (3056), (3292),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |            #1050.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3293)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | BETA: splitting (3293) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3294)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | ALPHA: (3294) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3295)  op(e1, e1) = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3052), (3295), (function-axioms) are
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3296)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3296) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |   (3297)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3297) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |   (3298)  op(e1, e0) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3049), (3298), (function-axioms) are
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |   (3299)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3299) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |   (3300)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (39), (204), (279), (373), (374),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |            (377), (3052), (3054), (3056), (3300),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |            #1951.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | |   (3301)  all_26_2 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (3301) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | |   (3302)  all_6_2 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | SIMP: (3302) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | |   (3303)  all_6_2 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | REDUCE: (344), (3303) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | |   (3304)   ~ (all_52_4 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | REDUCE: (348), (3303) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | |   (3305)   ~ (all_52_12 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | REDUCE: (39), (3303) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | |   (3306)  op(e3, e3) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | |   (3307)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (3054), (3304), (3307),
% 186.86/28.51  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.51  | | | | | | | | | | | | | | | | |            #1531.
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | |   (3308)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 186.86/28.51  | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | |   (3309)  all_56_7 = e1 & op(e1, e2) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | ALPHA: (3309) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | |   (3310)  op(e1, e2) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3045), (3310), (function-axioms) are
% 186.86/28.51  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | |   (3311)  all_56_13 = e1 & op(e0, e2) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | ALPHA: (3311) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | |   (3312)  all_56_13 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | |   (3313)  op(e0, e2) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3314)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | BETA: splitting (3314) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3315)  all_56_9 = e1 & op(e3, e0) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | ALPHA: (3315) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3316)  op(e3, e0) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3305), (3316), (function-axioms) are
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3317)  all_56_10 = e1 & op(e2, e0) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | ALPHA: (3317) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3318)  all_56_10 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3319)  op(e2, e0) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (36), (79), (85), (110),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (112), (113), (117), (120), (121), (125), (126),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (128), (133), (134), (135), (136), (139), (140),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (141), (143), (144), (145), (146), (148), (149),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (162), (163), (164),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (165), (167), (168), (169), (170), (192), (193),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (195), (196), (199), (200), (201), (202), (203),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (206), (211), (213), (215), (216), (217), (218),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (219), (220), (222), (223), (224), (226), (227),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (236), (238), (239), (249), (250), (258), (259),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (268), (269), (270), (271), (272), (309), (314),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (349), (352), (354), (358), (360), (373), (3018),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (3019), (3020), (3021), (3026), (3027), (3044),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (3046), (3052), (3306), (3312), (3313), (3318),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            (3319), (function-axioms) are inconsistent by
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |            sub-proof #1053.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3320)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (3027), (3049), (3320),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |            #1049.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | End of split
% 186.86/28.51  | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | |   (3321)  all_24_2 = e1
% 186.86/28.51  | | | | | | | | | | | | | | |   (3322)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 186.86/28.51  | | | | | | | | | | | | | | |             & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 186.86/28.51  | | | | | | | | | | | | | | |             $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 186.86/28.51  | | | | | | | | | | | | | | |             = all_24_1 & $i(all_24_1))
% 186.86/28.51  | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | COMBINE_EQS: (318), (3321) imply:
% 186.86/28.51  | | | | | | | | | | | | | | |   (3323)  all_4_2 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | COMBINE_EQS: (292), (3323) imply:
% 186.86/28.51  | | | | | | | | | | | | | | |   (3324)  all_44_2 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | REDUCE: (356), (3323) imply:
% 186.86/28.51  | | | | | | | | | | | | | | |   (3325)   ~ (all_52_7 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | REDUCE: (360), (3323) imply:
% 186.86/28.51  | | | | | | | | | | | | | | |   (3326)   ~ (all_52_13 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | REDUCE: (36), (3323) imply:
% 186.86/28.51  | | | | | | | | | | | | | | |   (3327)  op(e2, e2) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | |   (3328)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.86/28.51  | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | BETA: splitting (3328) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | |   (3329)  all_56_12 = e1 & op(e0, e3) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | ALPHA: (3329) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | |   (3330)  all_56_12 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | |   (3331)  op(e0, e3) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | |   (3332)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.86/28.51  | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | BETA: splitting (3332) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3333)  all_56_9 = e1 & op(e3, e0) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | ALPHA: (3333) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3334)  op(e3, e0) = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (3331) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3335)  all_52_3 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (3334) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3336)  all_52_12 = e1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3335) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3337)   ~ (all_52_7 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | REDUCE: (139), (3335) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3338)   ~ (all_52_11 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3336) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3339)   ~ (all_52_4 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3336) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3340)   ~ (all_52_13 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3336) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3341)   ~ (all_52_14 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | REDUCE: (348), (3336) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3342)   ~ (all_6_2 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | SIMP: (3342) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | |   (3343)   ~ (all_6_2 = e1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3344)   ~ (all_48_2 = e3)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | REDUCE: (3015), (3344) imply:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3345)  $false
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | CLOSE: (3345) is inconsistent.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |   (3346)  ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |             & op(e0, e3) = all_48_1 & $i(all_48_0) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |             $i(all_48_1)) | ( ~ (all_48_1 = e1) & op(e0, e3)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | |             = all_48_1 & $i(all_48_1))
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3346) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |   (3347)   ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |           op(e0, e3) = all_48_1 & $i(all_48_0) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |           $i(all_48_1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3347) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |   (3348)   ~ (all_48_0 = e2)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |   (3349)  op(e0, e3) = all_48_1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | |   (3350)  op(all_48_1, e0) = all_48_0
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3013) gives:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |   (3351)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |           op(e0, e3) = all_18_1 & $i(all_18_0) &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |           $i(all_18_1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3351) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |   (3352)  op(e0, e3) = all_18_1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (97), (110), (117), (123),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            (125), (126), (128), (135), (136), (145), (157),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            (158), (160), (162), (163), (164), (165), (167),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (191), (193), (197), (203),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            (204), (207), (216), (217), (218), (219), (220),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (238), (248), (250),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            (260), (272), (279), (346), (374), (377), (3019),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            (3020), (3021), (3027), (3044), (3045), (3047),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            (3048), (3049), (3052), (3322), (3324), (3325),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            (3326), (3327), (3330), (3331), (3339), (3343),
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            (3348), (3349), (3350), (3352), (function-axioms)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1037.
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |   (3353)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |           $i(all_18_1)
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3353) implies:
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | |   (3354)  op(e0, e3) = all_18_1
% 186.86/28.51  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (97), (110), (117), (123),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            (125), (126), (128), (135), (136), (145), (157),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            (158), (160), (162), (163), (164), (165), (167),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (191), (193), (197), (203),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            (204), (207), (216), (217), (218), (219), (220),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (238), (248), (250),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            (260), (272), (279), (346), (374), (377), (3019),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            (3020), (3021), (3027), (3044), (3045), (3047),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            (3048), (3049), (3052), (3322), (3324), (3325),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            (3326), (3327), (3330), (3331), (3339), (3343),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            (3348), (3349), (3350), (3354), (function-axioms)
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1037.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | |   (3355)   ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | |           $i(all_48_1)
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3355) implies:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | |   (3356)   ~ (all_48_1 = e1)
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | |   (3357)  op(e0, e3) = all_48_1
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3013), (3331), (3356), (3357), (function-axioms)
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1035.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |   (3358)  all_56_10 = e1 & op(e2, e0) = e1
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | ALPHA: (3358) implies:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |   (3359)  op(e2, e0) = e1
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3326), (3359), (function-axioms) are
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | |   (3360)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (3027), (3049), (3360),
% 186.86/28.52  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.52  | | | | | | | | | | | | | | | | | |            #1049.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | |   (3361)  all_56_13 = e1 & op(e0, e2) = e1
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | ALPHA: (3361) implies:
% 186.86/28.52  | | | | | | | | | | | | | | | | |   (3362)  op(e0, e2) = e1
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3325), (3362), (function-axioms) are
% 186.86/28.52  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | |   (3363)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.86/28.52  | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3027), (3048), (3363),
% 186.86/28.52  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.52  | | | | | | | | | | | | | | | |            #1114.
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | |   (3364)  all_54_10 = e0
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | COMBINE_EQS: (336), (3364) imply:
% 186.86/28.52  | | | | | | | | | | | | | |   (3365)  all_10_2 = e0
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | REDUCE: (3031), (3365) imply:
% 186.86/28.52  | | | | | | | | | | | | | |   (3366)  $false
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | CLOSE: (3366) is inconsistent.
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | |   (3367)  all_22_2 = e0
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | COMBINE_EQS: (251), (3367) imply:
% 186.86/28.52  | | | | | | | | | | |   (3368)  all_10_2 = e0
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | REDUCE: (350), (3368) imply:
% 186.86/28.52  | | | | | | | | | | |   (3369)   ~ (all_52_2 = e0)
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | REDUCE: (363), (3368) imply:
% 186.86/28.52  | | | | | | | | | | |   (3370)   ~ (all_52_8 = e0)
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | REDUCE: (364), (3368) imply:
% 186.86/28.52  | | | | | | | | | | |   (3371)   ~ (all_52_9 = e0)
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | REDUCE: (366), (3368) imply:
% 186.86/28.52  | | | | | | | | | | |   (3372)   ~ (all_52_11 = e0)
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | REDUCE: (368), (3368) imply:
% 186.86/28.52  | | | | | | | | | | |   (3373)   ~ (all_52_14 = e0)
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | REDUCE: (3029), (3368) imply:
% 186.86/28.52  | | | | | | | | | | |   (3374)   ~ (e3 = e0)
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | REDUCE: (375), (3368) imply:
% 186.86/28.52  | | | | | | | | | | |   (3375)   ~ (e2 = e0)
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | REDUCE: (45), (3368) imply:
% 186.86/28.52  | | | | | | | | | | |   (3376)  op(e1, e1) = e0
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | BETA: splitting (67) gives:
% 186.86/28.52  | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | |   (3377)   ~ (all_24_2 = e1)
% 186.86/28.52  | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | REDUCE: (318), (3377) imply:
% 186.86/28.52  | | | | | | | | | | | |   (3378)   ~ (all_4_2 = e1)
% 186.86/28.52  | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | BETA: splitting (70) gives:
% 186.86/28.52  | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | |   (3379)   ~ (all_26_2 = e1)
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | REDUCE: (307), (3379) imply:
% 186.86/28.52  | | | | | | | | | | | | |   (3380)   ~ (all_6_2 = e1)
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | BETA: splitting (204) gives:
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | |   (3381)  all_54_0 = e3
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | COMBINE_EQS: (279), (3381) imply:
% 186.86/28.52  | | | | | | | | | | | | | |   (3382)  all_6_2 = e3
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | SIMP: (3382) implies:
% 186.86/28.52  | | | | | | | | | | | | | |   (3383)  all_6_2 = e3
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | REDUCE: (39), (3383) imply:
% 186.86/28.52  | | | | | | | | | | | | | |   (3384)  op(e3, e3) = e3
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 186.86/28.52  | | | | | | | | | | | | | |            (117), (141), (143), (157), (160), (162), (163),
% 186.86/28.52  | | | | | | | | | | | | | |            (164), (165), (167), (168), (199), (206), (210),
% 186.86/28.52  | | | | | | | | | | | | | |            (211), (213), (214), (215), (216), (218), (219),
% 186.86/28.52  | | | | | | | | | | | | | |            (220), (221), (222), (223), (224), (226), (227),
% 186.86/28.52  | | | | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 186.86/28.52  | | | | | | | | | | | | | |            (238), (239), (268), (309), (314), (349), (358),
% 186.86/28.52  | | | | | | | | | | | | | |            (360), (373), (3019), (3020), (3021), (3026),
% 186.86/28.52  | | | | | | | | | | | | | |            (3027), (3369), (3371), (3372), (3373), (3376),
% 186.86/28.52  | | | | | | | | | | | | | |            (3378), (3384), (function-axioms) are inconsistent
% 186.86/28.52  | | | | | | | | | | | | | |            by sub-proof #1010.
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | |   (3385)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3380), (3385) are
% 186.86/28.52  | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | |   (3386)  all_26_2 = e1
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | COMBINE_EQS: (307), (3386) imply:
% 186.86/28.52  | | | | | | | | | | | | |   (3387)  all_6_2 = e1
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | SIMP: (3387) implies:
% 186.86/28.52  | | | | | | | | | | | | |   (3388)  all_6_2 = e1
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | REDUCE: (340), (3388) imply:
% 186.86/28.52  | | | | | | | | | | | | |   (3389)   ~ (all_52_2 = e1)
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | REDUCE: (344), (3388) imply:
% 186.86/28.52  | | | | | | | | | | | | |   (3390)   ~ (all_52_4 = e1)
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | REDUCE: (346), (3388) imply:
% 186.86/28.52  | | | | | | | | | | | | |   (3391)   ~ (all_52_8 = e1)
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | REDUCE: (377), (3388) imply:
% 186.86/28.52  | | | | | | | | | | | | |   (3392)   ~ (e2 = e1)
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | REDUCE: (39), (3388) imply:
% 186.86/28.52  | | | | | | | | | | | | |   (3393)  op(e3, e3) = e1
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | BETA: splitting (79) gives:
% 186.86/28.52  | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | |   (3394)   ~ (all_32_2 = e0)
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | REDUCE: (314), (3394) imply:
% 186.86/28.52  | | | | | | | | | | | | | |   (3395)   ~ (all_4_2 = e0)
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 186.86/28.52  | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | |   (3396)  all_54_5 = e3
% 186.86/28.52  | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3396) imply:
% 186.86/28.52  | | | | | | | | | | | | | | |   (3397)  all_4_2 = e3
% 186.86/28.52  | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | REDUCE: (373), (3397) imply:
% 186.86/28.52  | | | | | | | | | | | | | | |   (3398)  $false
% 186.86/28.52  | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | CLOSE: (3398) is inconsistent.
% 186.86/28.52  | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | |   (3399)   ~ (all_54_5 = e3)
% 186.86/28.52  | | | | | | | | | | | | | | |   (3400)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.86/28.52  | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | BETA: splitting (3400) gives:
% 186.86/28.52  | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | |   (3401)  all_54_5 = e2
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3401) imply:
% 186.86/28.52  | | | | | | | | | | | | | | | |   (3402)  all_4_2 = e2
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | REDUCE: (349), (3402) imply:
% 186.86/28.52  | | | | | | | | | | | | | | | |   (3403)   ~ (all_52_1 = e2)
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | REDUCE: (358), (3402) imply:
% 186.86/28.52  | | | | | | | | | | | | | | | |   (3404)   ~ (all_52_9 = e2)
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | REDUCE: (360), (3402) imply:
% 186.86/28.52  | | | | | | | | | | | | | | | |   (3405)   ~ (all_52_13 = e2)
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | REDUCE: (373), (3402) imply:
% 186.86/28.52  | | | | | | | | | | | | | | | |   (3406)   ~ (e3 = e2)
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | REDUCE: (36), (3402) imply:
% 186.86/28.52  | | | | | | | | | | | | | | | |   (3407)  op(e2, e2) = e2
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 186.86/28.52  | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | |   (3408)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.52  | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.52  | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.52  | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 186.86/28.52  | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 186.86/28.52  | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 186.86/28.52  | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 186.86/28.52  | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 186.86/28.52  | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 186.86/28.52  | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 186.86/28.52  | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.86/28.52  | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | BETA: splitting (3408) gives:
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | |   (3409)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.52  | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.52  | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | BETA: splitting (3409) gives:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |   (3410)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3403), (3410), (function-axioms) are
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |   (3411)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (3389), (3411),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |            #1973.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | |   (3412)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 186.86/28.52  | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.86/28.52  | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | BETA: splitting (3412) gives:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |   (3413)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3027), (3376), (3413),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |            #1394.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |   (3414)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | BETA: splitting (3414) gives:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |   (3415)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |             e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | ALPHA: (3415) implies:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |   (3416)  op(e3, e3) = e2
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3393), (3416), (function-axioms) are
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |   (3417)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3027), (3407), (3417),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | |            #1024.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | |   (3418)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.52  | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 186.86/28.52  | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.52  | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.52  | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 186.86/28.52  | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 186.86/28.52  | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 186.86/28.52  | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 186.86/28.52  | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 186.86/28.52  | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 186.86/28.52  | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 186.86/28.52  | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.52  | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.86/28.52  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.52  | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.86/28.52  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.86/28.52  | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.52  | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | BETA: splitting (3418) gives:
% 186.86/28.52  | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | |   (3419)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.52  | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.52  | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.52  | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | BETA: splitting (3419) gives:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |   (3420)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (3027), (3404), (3420),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |            #1221.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |   (3421)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3019), (3027), (3421),
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.52  | | | | | | | | | | | | | | | | | | |            #1189.
% 186.86/28.52  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.52  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.52  | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | |   (3422)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.53  | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 186.86/28.53  | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 186.86/28.53  | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 186.86/28.53  | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.53  | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.53  | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.53  | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | BETA: splitting (3422) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |   (3423)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3393), (3423), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |   (3424)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | BETA: splitting (3424) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |   (3425)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | ALPHA: (3425) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |   (3426)  op(e2, e0) = e2
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3405), (3426), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |   (3427)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3427) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |   (3428)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3428) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |   (3429)  op(e2, e2) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3407), (3429), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |   (3430)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3430) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |   (3431)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (36), (157), (373), (3372), (3376),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |            (3393), (3407), (3431), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | |   (3432)  all_54_5 = e1 | all_54_5 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3378), (3395), (3432) are inconsistent by
% 186.86/28.53  | | | | | | | | | | | | | | | |            sub-proof #1941.
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | |   (3433)  all_32_2 = e0
% 186.86/28.53  | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | COMBINE_EQS: (314), (3433) imply:
% 186.86/28.53  | | | | | | | | | | | | | |   (3434)  all_4_2 = e0
% 186.86/28.53  | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | SIMP: (3434) implies:
% 186.86/28.53  | | | | | | | | | | | | | |   (3435)  all_4_2 = e0
% 186.86/28.53  | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | COMBINE_EQS: (309), (3435) imply:
% 186.86/28.53  | | | | | | | | | | | | | |   (3436)  all_36_2 = e0
% 186.86/28.53  | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | REDUCE: (3378), (3435) imply:
% 186.86/28.53  | | | | | | | | | | | | | |   (3437)   ~ (e1 = e0)
% 186.86/28.53  | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | REDUCE: (36), (3435) imply:
% 186.86/28.53  | | | | | | | | | | | | | |   (3438)  op(e2, e2) = e0
% 186.86/28.53  | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 186.86/28.53  | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | |   (3439)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 186.86/28.53  | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 186.86/28.53  | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | BETA: splitting (3439) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | |   (3440)  all_56_0 = e0 & op(e3, e3) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | ALPHA: (3440) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | |   (3441)  op(e3, e3) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3393), (3441), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | |   (3442)  all_56_1 = e0 & op(e3, e2) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | ALPHA: (3442) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | |   (3443)  all_56_1 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | |   (3444)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 186.86/28.53  | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (3443), (3444),
% 186.86/28.53  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.53  | | | | | | | | | | | | | | | | |            #1928.
% 186.86/28.53  | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | |   (3445)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.86/28.53  | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 186.86/28.53  | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | BETA: splitting (3445) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | |   (3446)  all_56_7 = e3 & op(e1, e2) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | ALPHA: (3446) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | |   (3447)  all_56_7 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |   (3448)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3393), (3443), (3448),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |            #1417.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |   (3449)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | BETA: splitting (3449) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |   (3450)  all_56_4 = e3 & op(e3, e1) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | ALPHA: (3450) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | |   (3451)  all_56_4 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |   (3452)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |   (3453)  all_56_6 = e1 & op(e1, e3) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3453) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |   (3454)  op(e1, e3) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3389), (3454), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |   (3455)  all_56_7 = e1 & op(e1, e2) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3455) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |   (3456)  all_56_7 = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |            (373), (3438), (3443), (3456), (function-axioms)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1903.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |   (3457)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3457) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |   (3458)  all_56_8 = e1 & op(e1, e1) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3458) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |   (3459)  op(e1, e1) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3376), (3459), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |   (3460)  all_56_11 = e1 & op(e1, e0) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3460) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | |   (3461)  all_56_11 = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | |   (3462)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3462) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | |   (3463)  all_56_6 = e2 & op(e1, e3) = e2
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3463) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | |   (3464)  all_56_6 = e2
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (3465)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (164),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (3020), (3393),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | |            (3436), (3438), (3465), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1074.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (3466)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3466) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3467)  all_56_6 = e0 & op(e1, e3) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3467) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3468)  all_56_6 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (3376), (3447), (3461),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | |            (3468), (function-axioms) are inconsistent by
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1576.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3469)  all_56_12 = e0 & op(e0, e3) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3469) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3470)  all_56_12 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3471)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3471) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3472)  all_56_0 = e3 & op(e3, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3472) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3473)  op(e3, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3393), (3473), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3474)  all_56_2 = e3 & op(e2, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3474) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3475)  all_56_2 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3476)  all_56_15 = e0 & op(e0, e0) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3476) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3477)  all_56_15 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3026), (3477) imply:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3478)  e3 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3478) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3479)  e3 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3475), (3479) imply:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3480)  all_56_2 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (164),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (3020), (3436),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3438), (3480), (function-axioms) are inconsistent
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1213.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3481)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3481) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3482)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3482) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3483)  all_56_9 = e0 & op(e3, e0) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3483) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3484)  all_56_9 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (3393), (3443), (3451),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3484), (function-axioms) are inconsistent by
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1917.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3485)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3485) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3486)  all_56_10 = e0 & op(e2, e0) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3486) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3487)  all_56_10 = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3488)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3488) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3489)  all_56_2 = e1 & op(e2, e3) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3489) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3490)  all_56_2 = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3471) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3491)  all_56_0 = e3 & op(e3, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3491) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3492)  op(e3, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3393), (3492), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3475), (3490) imply:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3493)  e3 = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3447), (3493) imply:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3494)  all_56_7 = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (3438), (3443), (3494), (function-axioms)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1903.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3495)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3495) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3496)  all_56_6 = e3 & op(e1, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3464), (3496) are inconsistent by sub-proof
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1095.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3497)  all_56_12 = e3 & op(e0, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3497) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3498)  all_56_12 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (3393),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3490), (3498), (function-axioms) are inconsistent
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1845.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3499)  all_56_3 = e1 & op(e2, e2) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3499) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3500)  op(e2, e2) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3438), (3500), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3501)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3501) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3502)  all_56_5 = e1 & op(e2, e1) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3502) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3503)  all_56_5 = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3504)  op(e2, e1) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3471) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3505)  all_56_0 = e3 & op(e3, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3505) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3506)  op(e3, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3393), (3506), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (223), (3376), (3438),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3447), (3461), (3464), (3475), (3487), (3504),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1438.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3507)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3507) gives:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3508)  all_56_6 = e3 & op(e1, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3464), (3508) are inconsistent by sub-proof
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1095.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3509)  all_56_12 = e3 & op(e0, e3) = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3509) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3510)  all_56_12 = e3
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (3376),
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3451), (3470), (3503), (3510), (function-axioms)
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1426.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3511)  all_56_10 = e1 & op(e2, e0) = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3511) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3512)  all_56_10 = e1
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3487), (3512) are inconsistent by sub-proof
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1411.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3513)  all_56_11 = e0 & op(e1, e0) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3513) implies:
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3514)  op(e1, e0) = e0
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3373), (3514), (function-axioms) are
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3515)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3515) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3516)  all_56_6 = e3 & op(e1, e3) = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3464), (3516) are inconsistent by sub-proof
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1095.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3517)  all_56_12 = e3 & op(e0, e3) = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3517) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3518)  all_56_12 = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3470), (3518) imply:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3519)  e3 = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3451), (3519) imply:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3520)  all_56_4 = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3376), (3520), (function-axioms) are inconsistent
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1809.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | |   (3521)  all_56_7 = e2 & op(e1, e2) = e2
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3447), (3521) are inconsistent by sub-proof
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | |            #1925.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | |   (3522)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3376), (3461), (3522),
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | |            #1614.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |   (3523)  all_56_9 = e3 & op(e3, e0) = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | ALPHA: (3523) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |   (3524)  op(e3, e0) = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3019), (3524), (function-axioms) are
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3525)  all_56_13 = e3 & op(e0, e2) = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | ALPHA: (3525) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3526)  all_56_13 = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            (227), (228), (373), (3390), (3438), (3443),
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            (3526), (function-axioms) are inconsistent by
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            sub-proof #1901.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | |   (3527)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 186.86/28.54  | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 186.86/28.54  | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | BETA: splitting (3527) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | |   (3528)  all_56_4 = e0 & op(e3, e1) = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | ALPHA: (3528) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | |   (3529)  all_56_4 = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 186.86/28.54  | | | | | | | | | | | | | | | |            (3376), (3529), (function-axioms) are inconsistent
% 186.86/28.54  | | | | | | | | | | | | | | | |            by sub-proof #1809.
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | |   (3530)  all_56_9 = e0 & op(e3, e0) = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | ALPHA: (3530) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | |   (3531)  all_56_9 = e0
% 186.86/28.54  | | | | | | | | | | | | | | | |   (3532)  op(e3, e0) = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | |   (3533)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (164),
% 186.86/28.54  | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (3020), (3393),
% 186.86/28.54  | | | | | | | | | | | | | | | | |            (3436), (3438), (3533), (function-axioms) are
% 186.86/28.54  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1074.
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | |   (3534)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.86/28.54  | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | BETA: splitting (3534) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3535)  all_56_6 = e0 & op(e1, e3) = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | ALPHA: (3535) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3536)  all_56_6 = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3537)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | BETA: splitting (3537) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |   (3538)  all_56_6 = e3 & op(e1, e3) = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | ALPHA: (3538) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |   (3539)  all_56_6 = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3536), (3539) are inconsistent by sub-proof
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |            #1581.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |   (3540)  all_56_7 = e3 & op(e1, e2) = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | ALPHA: (3540) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |   (3541)  all_56_7 = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |            (216), (3376), (3389), (3536), (3541),
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | |            #1009.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3542)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (3021), (3376), (3542),
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |            #1406.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3543)  all_56_12 = e0 & op(e0, e3) = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | ALPHA: (3543) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3544)  all_56_12 = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3545)  op(e0, e3) = e0
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (123), (134),
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            (146), (157), (160), (163), (165), (167), (169),
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            (170), (202), (208), (214), (215), (216), (218),
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            (219), (220), (226), (233), (234), (236), (238),
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            (271), (373), (3021), (3027), (3370), (3371),
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            (3372), (3376), (3389), (3391), (3393), (3438),
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            (3531), (3532), (3544), (3545), (function-axioms)
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1379.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | |   (3546)  all_24_2 = e1
% 186.86/28.54  | | | | | | | | | | | |   (3547)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 186.86/28.54  | | | | | | | | | | | |             & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 186.86/28.54  | | | | | | | | | | | |             $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 186.86/28.54  | | | | | | | | | | | |             = all_24_1 & $i(all_24_1))
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | COMBINE_EQS: (318), (3546) imply:
% 186.86/28.54  | | | | | | | | | | | |   (3548)  all_4_2 = e1
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | SIMP: (3548) implies:
% 186.86/28.54  | | | | | | | | | | | |   (3549)  all_4_2 = e1
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | COMBINE_EQS: (292), (3549) imply:
% 186.86/28.54  | | | | | | | | | | | |   (3550)  all_44_2 = e1
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | REDUCE: (352), (3549) imply:
% 186.86/28.54  | | | | | | | | | | | |   (3551)   ~ (all_52_4 = e1)
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | REDUCE: (354), (3549) imply:
% 186.86/28.54  | | | | | | | | | | | |   (3552)   ~ (all_52_6 = e1)
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | REDUCE: (356), (3549) imply:
% 186.86/28.54  | | | | | | | | | | | |   (3553)   ~ (all_52_7 = e1)
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | REDUCE: (358), (3549) imply:
% 186.86/28.54  | | | | | | | | | | | |   (3554)   ~ (all_52_9 = e1)
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | REDUCE: (360), (3549) imply:
% 186.86/28.54  | | | | | | | | | | | |   (3555)   ~ (all_52_13 = e1)
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | REDUCE: (373), (3549) imply:
% 186.86/28.54  | | | | | | | | | | | |   (3556)   ~ (e3 = e1)
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | REDUCE: (36), (3549) imply:
% 186.86/28.54  | | | | | | | | | | | |   (3557)  op(e2, e2) = e1
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | BETA: splitting (70) gives:
% 186.86/28.54  | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | |   (3558)   ~ (all_26_2 = e1)
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | REDUCE: (307), (3558) imply:
% 186.86/28.54  | | | | | | | | | | | | |   (3559)   ~ (all_6_2 = e1)
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | BETA: splitting (204) gives:
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | |   (3560)  all_54_0 = e3
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | COMBINE_EQS: (279), (3560) imply:
% 186.86/28.54  | | | | | | | | | | | | | |   (3561)  all_6_2 = e3
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | REDUCE: (346), (3561) imply:
% 186.86/28.54  | | | | | | | | | | | | | |   (3562)   ~ (all_52_8 = e3)
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | REDUCE: (39), (3561) imply:
% 186.86/28.54  | | | | | | | | | | | | | |   (3563)  op(e3, e3) = e3
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (97), (103), (112),
% 186.86/28.54  | | | | | | | | | | | | | |            (117), (118), (120), (121), (123), (125), (128),
% 186.86/28.54  | | | | | | | | | | | | | |            (133), (134), (135), (136), (139), (140), (143),
% 186.86/28.54  | | | | | | | | | | | | | |            (144), (157), (158), (159), (160), (162), (164),
% 186.86/28.54  | | | | | | | | | | | | | |            (165), (168), (169), (170), (190), (191), (192),
% 186.86/28.54  | | | | | | | | | | | | | |            (196), (201), (202), (203), (206), (207), (208),
% 186.86/28.54  | | | | | | | | | | | | | |            (210), (211), (214), (216), (217), (218), (219),
% 186.86/28.54  | | | | | | | | | | | | | |            (220), (221), (223), (224), (227), (228), (230),
% 186.86/28.54  | | | | | | | | | | | | | |            (231), (232), (233), (238), (239), (247), (248),
% 186.86/28.54  | | | | | | | | | | | | | |            (249), (259), (270), (271), (272), (3013), (3015),
% 186.86/28.54  | | | | | | | | | | | | | |            (3016), (3019), (3020), (3021), (3026), (3027),
% 186.86/28.54  | | | | | | | | | | | | | |            (3369), (3370), (3372), (3376), (3547), (3550),
% 186.86/28.54  | | | | | | | | | | | | | |            (3551), (3552), (3553), (3554), (3555), (3557),
% 186.86/28.54  | | | | | | | | | | | | | |            (3562), (3563), (function-axioms) are inconsistent
% 186.86/28.54  | | | | | | | | | | | | | |            by sub-proof #985.
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | |   (3564)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3559), (3564) are
% 186.86/28.54  | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | |   (3565)  all_26_2 = e1
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | COMBINE_EQS: (307), (3565) imply:
% 186.86/28.54  | | | | | | | | | | | | |   (3566)  all_6_2 = e1
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | SIMP: (3566) implies:
% 186.86/28.54  | | | | | | | | | | | | |   (3567)  all_6_2 = e1
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | REDUCE: (340), (3567) imply:
% 186.86/28.54  | | | | | | | | | | | | |   (3568)   ~ (all_52_2 = e1)
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | REDUCE: (342), (3567) imply:
% 186.86/28.54  | | | | | | | | | | | | |   (3569)   ~ (all_52_3 = e1)
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | REDUCE: (348), (3567) imply:
% 186.86/28.54  | | | | | | | | | | | | |   (3570)   ~ (all_52_12 = e1)
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | REDUCE: (377), (3567) imply:
% 186.86/28.54  | | | | | | | | | | | | |   (3571)   ~ (e2 = e1)
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | REDUCE: (39), (3567) imply:
% 186.86/28.54  | | | | | | | | | | | | |   (3572)  op(e3, e3) = e1
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | BETA: splitting (210) gives:
% 186.86/28.54  | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | |   (3573)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.86/28.54  | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (3555), (3570), (3573),
% 186.86/28.54  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.54  | | | | | | | | | | | | | |            #1190.
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | |   (3574)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.86/28.54  | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | BETA: splitting (3574) gives:
% 186.86/28.54  | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | |   (3575)  all_56_11 = e1 & op(e1, e0) = e1
% 186.86/28.54  | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | ALPHA: (3575) implies:
% 186.86/28.54  | | | | | | | | | | | | | | |   (3576)  op(e1, e0) = e1
% 186.86/28.54  | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | |   (3577)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.86/28.54  | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.54  | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.86/28.54  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.54  | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.54  | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.54  | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.54  | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.54  | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.86/28.54  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 186.86/28.54  | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 186.86/28.54  | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 186.86/28.54  | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.86/28.54  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.54  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 186.86/28.54  | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 186.86/28.54  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 186.86/28.54  | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 186.86/28.54  | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 186.86/28.54  | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 186.86/28.54  | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 186.86/28.54  | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 186.86/28.54  | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 186.86/28.54  | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.86/28.54  | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.54  | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.54  | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | BETA: splitting (3577) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | |   (3578)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.86/28.54  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.54  | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.86/28.54  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.54  | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.54  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.54  | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | BETA: splitting (3578) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3579)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.86/28.54  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 186.86/28.54  | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.86/28.54  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | BETA: splitting (3579) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3580)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | ALPHA: (3580) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3581)  op(e1, e1) = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3376), (3581), (function-axioms) are
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3582)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | ALPHA: (3582) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3583)   ~ (all_57_2 = e0)
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3584)  op(e0, e3) = all_57_2
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3585)  op(e2, e3) = e2
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |              all_57_2, e3, e0, simplifying with (159), (3584)
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |              gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3586)  all_57_2 = all_52_3
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (3585) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3587)  all_52_1 = e2
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3587) imply:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3588)   ~ (all_52_3 = e2)
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | SIMP: (3588) implies:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |   (3589)   ~ (all_52_3 = e2)
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (192), (249), (3016), (3569), (3583),
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |            (3584), (3589), (function-axioms) are inconsistent
% 186.86/28.54  | | | | | | | | | | | | | | | | | | |            by sub-proof #984.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3590)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.54  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (3557), (3568), (3590),
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            #1678.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | |   (3591)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.86/28.54  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.54  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.54  | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.54  | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.86/28.54  | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.54  | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 186.86/28.54  | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 186.86/28.54  | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 186.86/28.54  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 186.86/28.54  | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 186.86/28.54  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.54  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 186.86/28.54  | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | BETA: splitting (3591) gives:
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3592)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.86/28.54  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3027), (3376), (3592),
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            #1394.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | |   (3593)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 186.86/28.54  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 186.86/28.54  | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.54  | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3552), (3572), (3593), (function-axioms)
% 186.86/28.54  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1318.
% 186.86/28.54  | | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | | End of split
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.54  | | | | | | | | | | | | | | | Case 2:
% 186.86/28.54  | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | |   (3594)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.55  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.55  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.55  | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.86/28.55  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.55  | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 186.86/28.55  | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.55  | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.55  | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.86/28.55  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.55  | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.55  | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.86/28.55  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 186.86/28.55  | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 186.86/28.55  | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 186.86/28.55  | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 186.86/28.55  | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 186.86/28.55  | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 186.86/28.55  | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 186.86/28.55  | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 186.86/28.55  | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.55  | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.55  | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.55  | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 186.86/28.55  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.55  | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.55  | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 186.86/28.55  | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.55  | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.55  | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.55  | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.86/28.55  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.55  | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.55  | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.86/28.55  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.55  | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.55  | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | BETA: splitting (3594) gives:
% 186.86/28.55  | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3595)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 186.86/28.55  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 186.86/28.55  | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 186.86/28.55  | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 186.86/28.55  | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 186.86/28.55  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 186.86/28.55  | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 186.86/28.55  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (3019), (3027), (3557), (3595),
% 186.86/28.55  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.55  | | | | | | | | | | | | | | | | |            #1188.
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3596)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 186.86/28.55  | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.55  | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 186.86/28.55  | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.55  | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 186.86/28.55  | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 186.86/28.55  | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 186.86/28.55  | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 186.86/28.55  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 186.86/28.55  | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.55  | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 186.86/28.55  | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.55  | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.86/28.55  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.55  | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.86/28.55  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | BETA: splitting (3596) gives:
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | |   (3597)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 186.86/28.55  | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 186.86/28.55  | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 186.86/28.55  | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3572), (3597), (function-axioms) are
% 186.86/28.55  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 186.86/28.55  | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | |   (3598)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 186.86/28.55  | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 186.86/28.55  | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 186.86/28.55  | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | BETA: splitting (3598) gives:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |   (3599)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | ALPHA: (3599) implies:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |   (3600)   ~ (all_57_13 = e1)
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |   (3601)  op(e1, e0) = all_57_13
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3576), (3600), (3601), (function-axioms) are
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |   (3602)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (3602) gives:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |   (3603)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | ALPHA: (3603) implies:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |   (3604)  op(e2, e2) = e0
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3557), (3604), (function-axioms) are
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |   (3605)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | ALPHA: (3605) implies:
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |   (3606)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (157), (3372), (3376), (3557),
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |            (3572), (3606), (function-axioms) are inconsistent
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1316.
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | |   (3607)  all_56_15 = e1 & op(e0, e0) = e1
% 186.86/28.55  | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | ALPHA: (3607) implies:
% 186.86/28.55  | | | | | | | | | | | | | | |   (3608)  op(e0, e0) = e1
% 186.86/28.55  | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | REF_CLOSE: (8), (3027), (3608), (function-axioms) are
% 186.86/28.55  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 186.86/28.55  | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | |   (3609)  all_20_2 = e3
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | COMBINE_EQS: (325), (3609) imply:
% 186.86/28.55  | | | | | | | | | |   (3610)  all_10_2 = e3
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | SIMP: (3610) implies:
% 186.86/28.55  | | | | | | | | | |   (3611)  all_10_2 = e3
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | REDUCE: (361), (3611) imply:
% 186.86/28.55  | | | | | | | | | |   (3612)   ~ (all_52_6 = e3)
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | REDUCE: (364), (3611) imply:
% 186.86/28.55  | | | | | | | | | |   (3613)   ~ (all_52_9 = e3)
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | REDUCE: (45), (3611) imply:
% 186.86/28.55  | | | | | | | | | |   (3614)  op(e1, e1) = e3
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | BETA: splitting (224) gives:
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | |   (3615)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.86/28.55  | | | | | | | | | | |             & op(e2, e2) = e3)
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | BETA: splitting (3615) gives:
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | |   (3616)  all_56_2 = e3 & op(e2, e3) = e3
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | ALPHA: (3616) implies:
% 186.86/28.55  | | | | | | | | | | | |   (3617)  all_56_2 = e3
% 186.86/28.55  | | | | | | | | | | | |   (3618)  op(e2, e3) = e3
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | BETA: splitting (228) gives:
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | |   (3619)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.86/28.55  | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | BETA: splitting (3619) gives:
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | |   (3620)  all_56_1 = e3 & op(e3, e2) = e3
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | ALPHA: (3620) implies:
% 186.86/28.55  | | | | | | | | | | | | | |   (3621)  all_56_1 = e3
% 186.86/28.55  | | | | | | | | | | | | | |   (3622)  op(e3, e2) = e3
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (39), (67), (79), (85),
% 186.86/28.55  | | | | | | | | | | | | | |            (117), (133), (134), (139), (145), (157), (159),
% 186.86/28.55  | | | | | | | | | | | | | |            (162), (163), (164), (165), (167), (168), (169),
% 186.86/28.55  | | | | | | | | | | | | | |            (170), (199), (204), (206), (207), (208), (210),
% 186.86/28.55  | | | | | | | | | | | | | |            (213), (214), (217), (218), (219), (220), (222),
% 186.86/28.55  | | | | | | | | | | | | | |            (223), (224), (226), (227), (228), (229), (231),
% 186.86/28.55  | | | | | | | | | | | | | |            (232), (233), (234), (235), (238), (239), (268),
% 186.86/28.55  | | | | | | | | | | | | | |            (279), (309), (314), (318), (340), (342), (344),
% 186.86/28.55  | | | | | | | | | | | | | |            (346), (348), (352), (354), (358), (360), (374),
% 186.86/28.55  | | | | | | | | | | | | | |            (377), (3026), (3027), (3614), (3617), (3618),
% 186.86/28.55  | | | | | | | | | | | | | |            (3621), (3622), (function-axioms) are inconsistent
% 186.86/28.55  | | | | | | | | | | | | | |            by sub-proof #1180.
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | |   (3623)  all_56_3 = e3 & op(e2, e2) = e3
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | ALPHA: (3623) implies:
% 186.86/28.55  | | | | | | | | | | | | | |   (3624)  op(e2, e2) = e3
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (3624), (function-axioms) are
% 186.86/28.55  | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | |   (3625)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.86/28.55  | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | BETA: splitting (3625) gives:
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | |   (3626)  all_56_7 = e3 & op(e1, e2) = e3
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | ALPHA: (3626) implies:
% 186.86/28.55  | | | | | | | | | | | | | |   (3627)  op(e1, e2) = e3
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 186.86/28.55  | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (3627) gives:
% 186.86/28.55  | | | | | | | | | | | | | |   (3628)  all_52_6 = e3
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | REDUCE: (3612), (3628) imply:
% 186.86/28.55  | | | | | | | | | | | | | |   (3629)  $false
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | CLOSE: (3629) is inconsistent.
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | |   (3630)  all_56_13 = e3 & op(e0, e2) = e3
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | ALPHA: (3630) implies:
% 186.86/28.55  | | | | | | | | | | | | | |   (3631)  op(e0, e2) = e3
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 186.86/28.55  | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (3631) gives:
% 186.86/28.55  | | | | | | | | | | | | | |   (3632)  all_52_7 = e3
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | REDUCE: (3017), (3632) imply:
% 186.86/28.55  | | | | | | | | | | | | | |   (3633)  $false
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | CLOSE: (3633) is inconsistent.
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | |   (3634)  all_56_3 = e3 & op(e2, e2) = e3
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | ALPHA: (3634) implies:
% 186.86/28.55  | | | | | | | | | | | |   (3635)  op(e2, e2) = e3
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | REF_CLOSE: (36), (373), (3635), (function-axioms) are
% 186.86/28.55  | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | |   (3636)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.86/28.55  | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | REF_CLOSE: (164), (165), (3020), (3613), (3636),
% 186.86/28.55  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 186.86/28.55  | | | | | | | | | | |            #1455.
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | | 
% 186.86/28.55  | | | | | | | | End of split
% 186.86/28.55  | | | | | | | | 
% 186.86/28.55  | | | | | | | End of split
% 186.86/28.55  | | | | | | | 
% 186.86/28.55  | | | | | | End of split
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | Case 2:
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | |   (3637)  all_14_2 = e1
% 186.86/28.55  | | | | | |   (3638)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0,
% 186.86/28.55  | | | | | |               e1) = all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~
% 186.86/28.55  | | | | | |             (all_14_1 = e3) & op(e0, e1) = all_14_1 & $i(all_14_1))
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | | COMBINE_EQS: (327), (3637) imply:
% 186.86/28.55  | | | | | |   (3639)  all_16_2 = e1
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | | REDUCE: (351), (3637) imply:
% 186.86/28.55  | | | | | |   (3640)   ~ (all_52_3 = e1)
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | | REDUCE: (362), (3637) imply:
% 186.86/28.55  | | | | | |   (3641)   ~ (all_52_7 = e1)
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | | REDUCE: (369), (3637) imply:
% 186.86/28.55  | | | | | |   (3642)   ~ (all_52_11 = e1)
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | | REDUCE: (370), (3637) imply:
% 186.86/28.55  | | | | | |   (3643)   ~ (all_52_12 = e1)
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | | REDUCE: (371), (3637) imply:
% 186.86/28.55  | | | | | |   (3644)   ~ (all_52_13 = e1)
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | | REDUCE: (372), (3637) imply:
% 186.86/28.55  | | | | | |   (3645)   ~ (all_52_14 = e1)
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | | REDUCE: (51), (3637) imply:
% 186.86/28.55  | | | | | |   (3646)  op(e0, e0) = e1
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | | BETA: splitting (55) gives:
% 186.86/28.55  | | | | | | 
% 186.86/28.55  | | | | | | Case 1:
% 186.86/28.55  | | | | | | | 
% 186.86/28.55  | | | | | | |   (3647)   ~ (all_16_2 = e1)
% 186.86/28.55  | | | | | | | 
% 186.86/28.55  | | | | | | | REDUCE: (3639), (3647) imply:
% 186.86/28.55  | | | | | | |   (3648)  $false
% 186.86/28.55  | | | | | | | 
% 186.86/28.55  | | | | | | | CLOSE: (3648) is inconsistent.
% 186.86/28.55  | | | | | | | 
% 186.86/28.55  | | | | | | Case 2:
% 186.86/28.55  | | | | | | | 
% 186.86/28.55  | | | | | | |   (3649)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 186.86/28.55  | | | | | | |             op(e0, e1) = all_16_1 & $i(all_16_0) & $i(all_16_1)) |
% 186.86/28.55  | | | | | | |           ( ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 186.86/28.55  | | | | | | |             $i(all_16_1))
% 186.86/28.55  | | | | | | | 
% 186.86/28.55  | | | | | | | BETA: splitting (61) gives:
% 186.86/28.55  | | | | | | | 
% 186.86/28.55  | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | 
% 186.86/28.55  | | | | | | | |   (3650)   ~ (all_20_2 = e3)
% 186.86/28.55  | | | | | | | | 
% 186.86/28.55  | | | | | | | | REDUCE: (325), (3650) imply:
% 186.86/28.55  | | | | | | | |   (3651)   ~ (all_10_2 = e3)
% 186.86/28.55  | | | | | | | | 
% 186.86/28.55  | | | | | | | | BETA: splitting (64) gives:
% 186.86/28.55  | | | | | | | | 
% 186.86/28.55  | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | 
% 186.86/28.55  | | | | | | | | |   (3652)   ~ (all_22_2 = e0)
% 186.86/28.55  | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | REDUCE: (251), (3652) imply:
% 186.86/28.55  | | | | | | | | |   (3653)   ~ (all_10_2 = e0)
% 186.86/28.55  | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | BETA: splitting (194) gives:
% 186.86/28.55  | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | |   (3654)  all_54_10 = e3
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | REF_CLOSE: (336), (3651), (3654) are inconsistent by
% 186.86/28.55  | | | | | | | | | |            sub-proof #983.
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | |   (3655)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | BETA: splitting (3655) gives:
% 186.86/28.55  | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | |   (3656)  all_54_10 = e2
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | REF_CLOSE: (336), (375), (3656) are inconsistent by sub-proof
% 186.86/28.55  | | | | | | | | | | |            #982.
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | Case 2:
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | |   (3657)   ~ (all_54_10 = e2)
% 186.86/28.55  | | | | | | | | | | |   (3658)  all_54_10 = e1 | all_54_10 = e0
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | BETA: splitting (3658) gives:
% 186.86/28.55  | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | |   (3659)  all_54_10 = e1
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | COMBINE_EQS: (336), (3659) imply:
% 186.86/28.55  | | | | | | | | | | | |   (3660)  all_10_2 = e1
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | SIMP: (3660) implies:
% 186.86/28.55  | | | | | | | | | | | |   (3661)  all_10_2 = e1
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | REDUCE: (361), (3661) imply:
% 186.86/28.55  | | | | | | | | | | | |   (3662)   ~ (all_52_6 = e1)
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | REDUCE: (363), (3661) imply:
% 186.86/28.55  | | | | | | | | | | | |   (3663)   ~ (all_52_8 = e1)
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | REDUCE: (364), (3661) imply:
% 186.86/28.55  | | | | | | | | | | | |   (3664)   ~ (all_52_9 = e1)
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | REDUCE: (375), (3661) imply:
% 186.86/28.55  | | | | | | | | | | | |   (3665)   ~ (e2 = e1)
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | REDUCE: (45), (3661) imply:
% 186.86/28.55  | | | | | | | | | | | |   (3666)  op(e1, e1) = e1
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | BETA: splitting (67) gives:
% 186.86/28.55  | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | |   (3667)   ~ (all_24_2 = e1)
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | REDUCE: (318), (3667) imply:
% 186.86/28.55  | | | | | | | | | | | | |   (3668)   ~ (all_4_2 = e1)
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | BETA: splitting (222) gives:
% 186.86/28.55  | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | |   (3669)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.86/28.55  | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | BETA: splitting (3669) gives:
% 186.86/28.55  | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | |   (3670)  all_56_2 = e1 & op(e2, e3) = e1
% 186.86/28.55  | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | ALPHA: (3670) implies:
% 186.86/28.55  | | | | | | | | | | | | | | |   (3671)  all_56_2 = e1
% 186.86/28.55  | | | | | | | | | | | | | | |   (3672)  op(e2, e3) = e1
% 186.86/28.55  | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 186.86/28.55  | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | |   (3673)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 186.86/28.55  | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 186.86/28.55  | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | BETA: splitting (3673) gives:
% 186.86/28.55  | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3674)  all_56_1 = e1 & op(e3, e2) = e1
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | ALPHA: (3674) implies:
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3675)  all_56_1 = e1
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3676)  op(e3, e2) = e1
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 186.86/28.55  | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (3672) gives:
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3677)  all_52_1 = e1
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 186.86/28.55  | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (3676) gives:
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3678)  all_52_4 = e1
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | REDUCE: (149), (3677) imply:
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3679)   ~ (all_52_2 = e1)
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | SIMP: (3679) implies:
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3680)   ~ (all_52_2 = e1)
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | REDUCE: (148), (3677) imply:
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3681)   ~ (all_52_3 = e1)
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | REDUCE: (146), (3677) imply:
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3682)   ~ (all_52_9 = e1)
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | REDUCE: (145), (3677) imply:
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3683)   ~ (all_52_13 = e1)
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.55  | | | | | | | | | | | | | | | | | REDUCE: (136), (3678) imply:
% 186.86/28.55  | | | | | | | | | | | | | | | | |   (3684)   ~ (all_52_6 = e1)
% 186.86/28.55  | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | REDUCE: (135), (3678) imply:
% 186.86/28.56  | | | | | | | | | | | | | | | | |   (3685)   ~ (all_52_7 = e1)
% 186.86/28.56  | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | REDUCE: (134), (3678) imply:
% 186.86/28.56  | | | | | | | | | | | | | | | | |   (3686)   ~ (all_52_8 = e1)
% 186.86/28.56  | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | REDUCE: (133), (3678) imply:
% 186.86/28.56  | | | | | | | | | | | | | | | | |   (3687)   ~ (all_52_12 = e1)
% 186.86/28.56  | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | REDUCE: (344), (3678) imply:
% 186.86/28.56  | | | | | | | | | | | | | | | | |   (3688)   ~ (all_6_2 = e1)
% 186.86/28.56  | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | SIMP: (3688) implies:
% 186.86/28.56  | | | | | | | | | | | | | | | | |   (3689)   ~ (all_6_2 = e1)
% 186.86/28.56  | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | REDUCE: (352), (3678) imply:
% 186.86/28.56  | | | | | | | | | | | | | | | | |   (3690)   ~ (all_4_2 = e1)
% 186.86/28.56  | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 186.86/28.56  | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | Case 1:
% 186.86/28.56  | | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | |   (3691)  all_54_0 = e3
% 186.86/28.56  | | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3691) imply:
% 186.86/28.56  | | | | | | | | | | | | | | | | | |   (3692)  all_6_2 = e3
% 186.86/28.56  | | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | | REDUCE: (340), (3692) imply:
% 186.86/28.56  | | | | | | | | | | | | | | | | | |   (3693)   ~ (all_52_2 = e3)
% 186.86/28.56  | | | | | | | | | | | | | | | | | | 
% 186.86/28.56  | | | | | | | | | | | | | | | | | | REDUCE: (346), (3692) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | |   (3694)   ~ (all_52_8 = e3)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | REDUCE: (348), (3692) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | |   (3695)   ~ (all_52_12 = e3)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | REDUCE: (39), (3692) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | |   (3696)  op(e3, e3) = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |   (3697)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | BETA: splitting (3697) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |   (3698)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3698) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |   (3699)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (3666), (3699), (function-axioms) are
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #981.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |   (3700)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (3646), (3700),
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |            #980.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |   (3701)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3701) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |   (3702)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (3666), (3702), (function-axioms) are
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |   (3703)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3662), (3668), (3703),
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |            #1968.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |   (3704)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | BETA: splitting (3704) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |   (3705)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3705) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |   (3706)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3706) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3707)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3707) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3708)  op(e3, e1) = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (3708) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3709)  all_52_8 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (3709) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3710)  $false
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3710) is inconsistent.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3711)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3711) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3712)  op(e3, e3) = e1
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3696), (3712), (function-axioms) are
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |   (3713)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3713) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3714)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3714) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3715)  all_57_15 = e1
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3716)  all_57_7 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3717)   ~ (all_57_12 = e1)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3718)   ~ (all_57_8 = e0)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3719)  op(e0, e1) = all_57_8
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3720)  op(e2, e1) = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3721)  op(e2, e2) = all_57_12
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |              all_57_8, e1, e0, simplifying with (157), (3719)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3722)  all_57_8 = all_52_11
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (3720) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3723)  all_52_9 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |              all_57_12, e2, e2, simplifying with (36), (3721)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3724)  all_57_12 = all_4_2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3718), (3722) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3725)   ~ (all_52_11 = e0)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3723) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3726)   ~ (all_52_8 = e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3723) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3727)   ~ (all_52_11 = e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | SIMP: (3727) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3728)   ~ (all_52_11 = e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3723) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3729)   ~ (all_52_13 = e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | SIMP: (3729) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3730)   ~ (all_52_13 = e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (3723) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3731)   ~ (all_4_2 = e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | SIMP: (3731) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | |   (3732)   ~ (all_4_2 = e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | |   (3733)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3733) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | |   (3734)  all_56_4 = e2 & op(e3, e1) = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3734) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | |   (3735)  all_56_4 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (3736)  all_54_14 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3736) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (3737)  all_52_11 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3737) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (3738)  all_52_11 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (3738) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (3739)   ~ (all_52_3 = e3)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3738) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (3740)   ~ (all_52_7 = e3)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (3738) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (3741)  op(e0, e1) = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3742)  all_54_5 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3742) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3743)  all_4_2 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3743) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3744)  $false
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3744) is inconsistent.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3745)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3746)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3746) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3747)  all_56_4 = e0 & op(e3, e1) = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3735), (3747) are inconsistent by sub-proof
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1876.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3748)  all_56_5 = e0 & op(e2, e1) = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3748) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3749)  all_56_5 = e0
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3750)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3750) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3751)  all_56_12 = e3 & op(e0, e3) = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3751) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3752)  all_56_12 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3753)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (3675),
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3696), (3749), (3753), (function-axioms) are
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #976.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3754)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3754) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3755)  all_56_8 = e3 & op(e1, e1) = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3755) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3756)  op(e1, e1) = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (3756), (function-axioms) are
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3757)  all_56_14 = e3 & op(e0, e1) = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3757) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3758)  all_56_14 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3759)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3671), (3696), (3759),
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #975.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3760)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3760) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3761)  all_56_6 = e2 & op(e1, e3) = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3761) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3762)  all_56_6 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (3671), (3696), (3752),
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3762), (function-axioms) are inconsistent by
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1600.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3763)  all_56_12 = e2 & op(e0, e3) = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3763) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3764)  all_56_12 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3752), (3764) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3765)  e3 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3765) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3766)  e3 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3758), (3766) imply:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3767)  all_56_14 = e2
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (229), (230),
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (234), (3666), (3671), (3675), (3696),
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3752), (3767), (function-axioms) are inconsistent
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #972.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3768)  all_56_13 = e3 & op(e0, e2) = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3768) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3769)  all_56_13 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3770)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (3675),
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3696), (3749), (3770), (function-axioms) are
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #976.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3771)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3771) gives:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3772)  all_56_8 = e3 & op(e1, e1) = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3772) implies:
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3773)  op(e1, e1) = e3
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (3773), (function-axioms) are
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 187.52/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3774)  all_56_14 = e3 & op(e0, e1) = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3774) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3775)  all_56_14 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (79), (164), (197),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (208), (211), (212), (220), (221), (223),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (234), (260), (268), (314), (360), (3638),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3644), (3646), (3649), (3666), (3668), (3671),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3675), (3696), (3730), (3732), (3735), (3741),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3745), (3749), (3769), (3775), (function-axioms)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #962.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3776)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3776) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3777)  all_56_14 = e3 & op(e0, e1) = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3777) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3778)  all_56_14 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3779)  all_54_2 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3694), (3779) are inconsistent by
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1762.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3780)   ~ (all_54_2 = e3)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3781)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3781) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3782)  all_54_2 = e2
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3726), (3782) are inconsistent by
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1761.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3783)  all_54_2 = e1 | all_54_2 = e0
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3783) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3784)  all_54_2 = e1
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3663), (3784) are inconsistent by
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1760.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3785)  all_54_2 = e0
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3785) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3786)  all_52_8 = e0
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3786) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3787)  all_52_8 = e0
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3787) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3788)   ~ (all_52_12 = e0)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3788) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3789)   ~ (all_52_12 = e0)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (3787) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3790)   ~ (e3 = e0)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3663), (3787) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3791)   ~ (e1 = e0)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3792)  all_54_3 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3792) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3793)  all_52_12 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (3793) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3794)  $false
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3794) is inconsistent.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3795)   ~ (all_54_3 = e3)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3796)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3796) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3797)  all_54_3 = e2
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3797) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3798)  all_52_12 = e2
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3798) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3799)   ~ (all_52_14 = e2)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3799) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3800)   ~ (all_52_14 = e2)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (3798) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3801)   ~ (e3 = e2)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3802)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3802) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3803)  all_56_2 = e3 & op(e2, e3) = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3671), (3803) are inconsistent by sub-proof
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #961.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3804)  all_56_3 = e3 & op(e2, e2) = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3804) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3805)  all_56_3 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3806)  op(e2, e2) = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (140), (144),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (192), (196), (212), (220), (223), (230),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (248), (249), (259), (268), (356), (3640),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3641), (3646), (3666), (3668), (3671), (3675),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3680), (3693), (3696), (3732), (3739), (3740),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3745), (3749), (3778), (3805), (3806),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #956.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3807)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3807) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3808)  all_56_5 = e3 & op(e2, e1) = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3808) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3809)  all_56_5 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3749), (3809) are inconsistent by sub-proof
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1838.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3810)  all_56_10 = e3 & op(e2, e0) = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3810) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3811)  all_56_10 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3812)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3812) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3813)  all_56_1 = e3 & op(e3, e2) = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3813) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3814)  all_56_1 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3675), (3814) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3815)  e3 = e1
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3815) imply:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3816)  $false
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3816) is inconsistent.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3817)  all_56_3 = e3 & op(e2, e2) = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3817) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3818)  all_56_3 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (223), (230),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (3666), (3671), (3675), (3696), (3749),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3778), (3811), (3818), (function-axioms) are
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #960.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3819)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3819) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3820)  all_56_7 = e3 & op(e1, e2) = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3820) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3821)  all_56_7 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3822)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3822) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3823)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3823) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3824)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3824) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3825)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3825) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3826)  op(e3, e3) = e2
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3696), (3826), (function-axioms) are
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3827)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3827) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3828)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (126), (128), (140),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (191), (192), (193), (195), (211), (213),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (220), (230), (233), (234), (248), (249),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (258), (268), (354), (356), (3640), (3641),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3645), (3646), (3662), (3666), (3668), (3671),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3675), (3696), (3732), (3735), (3739), (3740),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3745), (3749), (3778), (3800), (3811), (3821),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3828), (function-axioms) are inconsistent by
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #950.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3829)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3829) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3830)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3830) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3831)  op(e3, e3) = e1
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3696), (3831), (function-axioms) are
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3832)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3832) implies:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3833)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (126), (128), (140),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (191), (192), (193), (195), (211), (213),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (220), (230), (233), (234), (248), (249),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (258), (268), (354), (356), (3640), (3641),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3645), (3646), (3662), (3666), (3668), (3671),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3675), (3696), (3732), (3735), (3739), (3740),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3745), (3749), (3778), (3800), (3811), (3821),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3833), (function-axioms) are inconsistent by
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #950.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3834)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3834) gives:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3835)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3646), (3696), (3835),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #949.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3836)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3662), (3668), (3836),
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1110.
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3837)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3837) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3838)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3838) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3839)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3839) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3840)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3840) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3841)  all_57_12 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3842)  op(e0, e0) = all_57_15
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3843)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3724), (3841) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3844)  all_4_2 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3844) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3845)  all_4_2 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (3845) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3846)   ~ (all_52_13 = e0)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3732), (3845) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3847)   ~ (e2 = e0)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3843) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3848)  all_57_14 = e0 & op(e1, e1) = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3848) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3849)  op(e1, e1) = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (3849), (function-axioms) are
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3850)   ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3850) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3851)  op(e1, e0) = all_57_13
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3852)  all_54_7 = e3
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (3852) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3853)  all_52_13 = e3
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3853) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3854)  all_52_13 = e3
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3854) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3855)   ~ (all_52_14 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3855) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3856)   ~ (all_52_14 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3857)  all_54_11 = e3
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3856), (3857) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1277.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3858)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3859)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (211), (213), (220),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (234), (3646), (3666), (3675), (3696),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3735), (3749), (3778), (3811), (3821), (3859),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #952.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3860)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3860) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3861)  all_56_8 = e2 & op(e1, e1) = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3861) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3862)  op(e1, e1) = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (3862), (function-axioms) are
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3863)  all_56_11 = e2 & op(e1, e0) = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3863) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3864)  all_56_11 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3865)  op(e1, e0) = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3858) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3866)  all_54_11 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3800), (3866) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3867)  all_54_11 = e1 | all_54_11 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3867) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3868)  all_54_11 = e1
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3645), (3868) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1338.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3869)  all_54_11 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (3869) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3870)  all_52_14 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3870) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3871)  all_52_14 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3871) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3872)   ~ (all_52_2 = e0)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (3871) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3873)  op(e1, e0) = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3874)  all_54_8 = e3
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3693), (3874) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3875)   ~ (all_54_8 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3876)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3876) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3877)  all_54_8 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (3877) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3878)  all_52_2 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3878) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3879)  all_52_2 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (3879) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3880)   ~ (all_52_3 = e2)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3880) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3881)   ~ (all_52_3 = e2)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3882)  all_54_12 = e3
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3739), (3882) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1466.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3883)   ~ (all_54_12 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3884)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3884) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3885)  all_54_12 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3881), (3885) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1465.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3886)   ~ (all_54_12 = e2)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3887)  all_54_12 = e1 | all_54_12 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3887) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3888)  all_54_12 = e1
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3640), (3888) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1464.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3889)  all_54_12 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3889) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3890)  all_52_3 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3890) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3891)  all_52_3 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13, e0, e1, simplifying with (3851), (3865)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3892)  all_57_13 = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13, e0, e1, simplifying with (3851), (3873)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3893)  all_57_13 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3892), (3893) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3894)  e2 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3864), (3894) imply:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3895)  all_56_11 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (211), (220), (230),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (3646), (3666), (3675), (3696), (3735),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3749), (3778), (3811), (3895), (function-axioms)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #954.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3896)  all_54_8 = e1 | all_54_8 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3680), (3872), (3896) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1365.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3897)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3644), (3730), (3846), (3897) are
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1375.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3898)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3898) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3899)  op(e0, e0) = e2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (3899), (function-axioms) are
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3900)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (3716), (3717), (3900),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #948.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3901)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3901) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3902)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3902) gives:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3903)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3903) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3904)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (126), (128), (140),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (191), (192), (193), (195), (211), (213),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (220), (230), (233), (234), (248), (249),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (258), (268), (354), (356), (3640), (3641),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3645), (3646), (3662), (3666), (3668), (3671),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3675), (3696), (3732), (3735), (3739), (3740),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3745), (3749), (3778), (3800), (3811), (3821),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3904), (function-axioms) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #950.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3905)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3724), (3732), (3905) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1107.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3906)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (3716), (3717), (3906),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #947.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3907)  all_56_13 = e3 & op(e0, e2) = e3
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3907) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3908)  all_56_13 = e3
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (79), (164), (197),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (208), (211), (212), (220), (221), (223),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (234), (260), (268), (314), (360), (3638),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3644), (3646), (3649), (3666), (3668), (3671),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3675), (3696), (3730), (3732), (3735), (3741),
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3745), (3749), (3778), (3908), (function-axioms)
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #962.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3909)  all_54_3 = e1 | all_54_3 = e0
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3643), (3789), (3909) are inconsistent by
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3910)  all_56_15 = e3 & op(e0, e0) = e3
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3910) implies:
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3911)  op(e0, e0) = e3
% 187.52/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (3911), (function-axioms) are
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3912)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3912) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3913)  all_56_8 = e0 & op(e1, e1) = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3913) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3914)  op(e1, e1) = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (3914), (function-axioms) are
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3915)  all_56_14 = e0 & op(e0, e1) = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (79), (164), (197),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (212), (220), (221), (223), (230), (234),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (260), (268), (314), (360), (3638), (3644),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3646), (3649), (3666), (3668), (3671), (3675),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3696), (3730), (3732), (3735), (3741), (3745),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3915), (function-axioms) are inconsistent by
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #963.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (3916)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3642), (3725), (3728), (3916) are
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1736.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | |   (3917)  all_56_5 = e2 & op(e2, e1) = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3917) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | |   (3918)  all_56_5 = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (3919)  all_54_14 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3919) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (3920)  all_52_11 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3920) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (3921)  all_52_11 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (3921) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (3922)   ~ (all_52_3 = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3921) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (3923)   ~ (all_52_7 = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3924)  all_54_5 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3924) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3925)  all_4_2 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3925) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3926)  $false
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3926) is inconsistent.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3927)   ~ (all_54_5 = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3928)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3929)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3929) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3930)  all_56_4 = e0 & op(e3, e1) = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3930) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3931)  all_56_4 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3932)  all_54_2 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3932) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3933)  all_52_8 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (3933) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3934)  $false
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3934) is inconsistent.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3935)   ~ (all_54_2 = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3936)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3936) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3937)  all_54_2 = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3937) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3938)  all_52_8 = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3726), (3938) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3939)  $false
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3939) is inconsistent.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3940)   ~ (all_54_2 = e2)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3941)  all_54_2 = e1 | all_54_2 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3941) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3942)  all_54_2 = e1
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3942) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3943)  all_52_8 = e1
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3663), (3943) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3944)  $false
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3944) is inconsistent.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3945)  all_54_2 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3945) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3946)  all_52_8 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3946) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3947)   ~ (all_52_12 = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3947) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3948)   ~ (all_52_12 = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (3946) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3949)   ~ (e3 = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3726), (3946) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3950)   ~ (e2 = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3663), (3946) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3951)   ~ (e1 = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3952)  all_54_3 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3952) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3953)  all_52_12 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (3953) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3954)  $false
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3954) is inconsistent.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3955)   ~ (all_54_3 = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3956)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3957)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (3675),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3696), (3918), (3957), (function-axioms) are
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #946.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3958)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3958) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3959)  all_56_8 = e3 & op(e1, e1) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3959) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3960)  op(e1, e1) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (3960), (function-axioms) are
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3961)  all_56_14 = e3 & op(e0, e1) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3961) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3962)  all_56_14 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3956) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3963)  all_54_3 = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3963) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3964)  all_52_12 = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3964) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3965)   ~ (all_52_14 = e2)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3965) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3966)   ~ (all_52_14 = e2)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (3964) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3967)   ~ (e3 = e2)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3968)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3968) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3969)  all_56_2 = e3 & op(e2, e3) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3671), (3969) are inconsistent by sub-proof
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #961.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3970)  all_56_3 = e3 & op(e2, e2) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3970) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3971)  all_56_3 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3972)  op(e2, e2) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3973)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3973) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3974)  all_56_2 = e0 & op(e2, e3) = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3671), (3974) are inconsistent by sub-proof
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1858.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3975)  all_56_3 = e0 & op(e2, e2) = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3975) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3976)  all_56_3 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3971), (3976) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3977)  e3 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3962), (3977) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3978)  all_56_14 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3666), (3675), (3696), (3918), (3978),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #945.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3979)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3979) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3980)  all_56_5 = e0 & op(e2, e1) = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3980) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3981)  all_56_5 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (140), (144),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (192), (196), (212), (220), (223), (230),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (248), (249), (259), (268), (356), (3640),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3641), (3646), (3666), (3668), (3671), (3675),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3680), (3693), (3696), (3732), (3922), (3923),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3928), (3962), (3971), (3972), (3981),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #956.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3982)  all_56_10 = e0 & op(e2, e0) = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3982) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3983)  all_56_10 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3984)  op(e2, e0) = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3985)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3985) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3986)  all_56_9 = e3 & op(e3, e0) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3986) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3987)  all_56_9 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (3675), (3696), (3931),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3987), (function-axioms) are inconsistent by
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #967.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3988)  all_56_10 = e3 & op(e2, e0) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3988) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3989)  all_56_10 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3983), (3989) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3990)  e3 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3962), (3990) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3991)  all_56_14 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3666), (3675), (3696), (3918), (3991),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #945.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3992)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3992) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3993)  all_56_11 = e3 & op(e1, e0) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3993) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3994)  all_56_11 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3928) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3995)  all_54_5 = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3732), (3995) are inconsistent by
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1106.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3996)  all_54_5 = e1 | all_54_5 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3996) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3997)  all_54_5 = e1
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3668), (3997) are inconsistent by
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1089.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3998)  all_54_5 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3998) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3999)  all_4_2 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3999) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4000)  all_4_2 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (4000) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4001)  all_32_2 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (4000) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4002)   ~ (all_52_7 = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4000) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4003)   ~ (all_52_13 = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4004)  all_54_7 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (4004) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4005)  all_52_13 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4005) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4006)  all_52_13 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4006) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4007)  op(e2, e0) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4008)   ~ (all_32_2 = e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4001), (4008) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4009)  $false
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4009) is inconsistent.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4010)  ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e0) = all_32_1 & $i(all_32_0) &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_32_1)) | ( ~ (all_32_1 = e1) & op(e2, e0)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_32_1 & $i(all_32_1))
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4011)  all_54_13 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3923), (4011) are inconsistent by
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4012)   ~ (all_54_13 = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4013)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4013) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4014)  all_54_13 = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (4014) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4015)  all_52_7 = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4015) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4016)  all_52_7 = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4016) imply:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4017)   ~ (all_52_3 = e2)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4018)  all_54_12 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3922), (4018) are inconsistent by
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1466.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4019)   ~ (all_54_12 = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4020)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4010) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4021)   ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_32_1 & $i(all_32_0) &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_32_1)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4021) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4022)  op(e2, e0) = all_32_1
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (212), (220), (230), (234), (249),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3640), (3646), (3666), (3675), (3696), (3918),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3922), (3931), (3962), (3983), (3984), (3994),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4007), (4017), (4020), (4022), (function-axioms)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #944.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4023)   ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_32_1)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4023) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4024)  op(e2, e0) = all_32_1
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (212), (220), (230), (234), (249),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3640), (3646), (3666), (3675), (3696), (3918),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3922), (3931), (3962), (3983), (3984), (3994),
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4007), (4017), (4020), (4024), (function-axioms)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #944.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4025)  all_54_13 = e1 | all_54_13 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3641), (4002), (4025) are inconsistent by
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1652.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4026)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3644), (3730), (4003), (4026) are
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1375.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4027)  all_56_15 = e3 & op(e0, e0) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4027) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4028)  op(e0, e0) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4028), (function-axioms) are
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4029)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4029) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4030)  all_56_5 = e3 & op(e2, e1) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4030) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4031)  all_56_5 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3918), (4031) are inconsistent by sub-proof
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1735.
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4032)  all_56_10 = e3 & op(e2, e0) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4032) implies:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4033)  op(e2, e0) = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4034)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4034) gives:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4035)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4035) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4036)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4036) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4037)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4037) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4038)  op(e3, e3) = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3696), (4038), (function-axioms) are
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4039)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4039) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4040)  all_57_12 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3724), (4040) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4041)  all_4_2 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4041) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4042)  all_4_2 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4042) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4043)  $false
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4043) is inconsistent.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4044)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (3663), (3696), (4044),
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1329.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4045)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4045) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4046)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3646), (3696), (4046),
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #949.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4047)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (3662), (3668), (4047),
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1110.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4048)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4048) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4049)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4049) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4050)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4050) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4051)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4051) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4052)  all_57_12 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4053)  op(e2, e0) = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3724), (4052) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4054)  all_4_2 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4054) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4055)  all_4_2 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (4055) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4056)  all_36_2 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (85), (4033), (4053), (4056),
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1706.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4057)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4057) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4058)  op(e0, e0) = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (4058), (function-axioms) are
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4059)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (3716), (3717), (4059),
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #948.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4060)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4060) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4061)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4061) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4062)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4062) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4063)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4063) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4064)  all_57_15 = e3 & op(e0, e0) = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4064) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4065)  op(e0, e0) = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4065), (function-axioms) are
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4066)   ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4066) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4067)   ~ (all_57_2 = e0)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4068)  op(e0, e3) = all_57_2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3928) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4069)  all_54_5 = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3732), (4069) are inconsistent by
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1106.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4070)  all_54_5 = e1 | all_54_5 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4070) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4071)  all_54_5 = e1
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3668), (4071) are inconsistent by
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1089.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4072)  all_54_5 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4072) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4073)  all_4_2 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4073) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4074)  all_4_2 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4074) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4075)   ~ (all_52_13 = e0)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4076)  all_54_7 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (4076) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4077)  all_52_13 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (4077) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4078)   ~ (all_52_14 = e3)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4078) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4079)   ~ (all_52_14 = e3)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4080)  all_54_11 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (4079), (4080) are inconsistent by
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1277.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4081)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4081) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4082)  all_54_11 = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3966), (4082) are inconsistent by
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4083)  all_54_11 = e1 | all_54_11 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4083) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4084)  all_54_11 = e1
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3645), (4084) are inconsistent by
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1338.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4085)  all_54_11 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (4085) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4086)  all_52_14 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4086) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4087)  all_52_14 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4087) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4088)   ~ (all_52_2 = e0)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4089)  all_54_8 = e3
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3693), (4089) are inconsistent by
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4090)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4090) gives:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4091)  all_54_8 = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (4091) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4092)  all_52_2 = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4092) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4093)  all_52_2 = e2
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (4093) imply:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4094)   ~ (all_52_3 = e2)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4094) implies:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4095)   ~ (all_52_3 = e2)
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (192), (249), (3640), (3922), (4067),
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4068), (4095), (function-axioms) are inconsistent
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #984.
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4096)  all_54_8 = e1 | all_54_8 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3680), (4088), (4096) are inconsistent by
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1365.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4097)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3644), (3730), (4075), (4097) are
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1375.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4098)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3724), (3732), (4098) are inconsistent by
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1107.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4099)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (3716), (3717), (4099),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #947.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4100)  all_54_3 = e1 | all_54_3 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3643), (3948), (4100) are inconsistent by
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4101)  all_56_5 = e0 & op(e2, e1) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3918), (4101) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1121.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4102)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4102) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4103)  all_56_8 = e0 & op(e1, e1) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4103) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4104)  op(e1, e1) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4104), (function-axioms) are
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4105)  all_56_14 = e0 & op(e0, e1) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4105) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4106)  all_56_14 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3666), (3675), (3696), (3918), (4106),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #945.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (4107)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3642), (3725), (3728), (4107) are
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1736.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | |   (4108)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4108) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | |   (4109)  all_56_8 = e2 & op(e1, e1) = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4109) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | |   (4110)  op(e1, e1) = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (4110), (function-axioms) are
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | |   (4111)  all_56_14 = e2 & op(e0, e1) = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4111) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | |   (4112)  all_56_14 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | |   (4113)  op(e0, e1) = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (4114)  all_54_14 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (4114) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (4115)  all_52_11 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4115) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (4116)  all_52_11 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (4116) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (4117)  op(e0, e1) = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4118)  all_54_5 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4118) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4119)  all_4_2 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4119) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4120)  $false
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4120) is inconsistent.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4121)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4122)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4122) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4123)  all_56_4 = e0 & op(e3, e1) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4123) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4124)  all_56_4 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4125)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4125) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4126)  all_56_12 = e3 & op(e0, e3) = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4126) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4127)  all_56_12 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (229), (230),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (234), (3666), (3671), (3675), (3696),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4112), (4127), (function-axioms) are inconsistent
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #972.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4128)  all_56_13 = e3 & op(e0, e2) = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4128) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4129)  all_56_13 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4130)  all_54_2 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4130) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4131)  all_52_8 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (4131) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4132)  $false
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4132) is inconsistent.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4133)   ~ (all_54_2 = e3)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4134)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4134) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4135)  all_54_2 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4135) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4136)  all_52_8 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3726), (4136) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4137)  $false
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4137) is inconsistent.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4138)   ~ (all_54_2 = e2)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4139)  all_54_2 = e1 | all_54_2 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4139) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4140)  all_54_2 = e1
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4140) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4141)  all_52_8 = e1
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3663), (4141) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4142)  $false
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4142) is inconsistent.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4143)  all_54_2 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4143) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4144)  all_52_8 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4144) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4145)   ~ (all_52_12 = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4145) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4146)   ~ (all_52_12 = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (4144) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4147)   ~ (e3 = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3726), (4144) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4148)   ~ (e2 = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3663), (4144) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4149)   ~ (e1 = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4150)  all_54_3 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4150) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4151)  all_52_12 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (4151) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4152)  $false
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4152) is inconsistent.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4153)   ~ (all_54_3 = e3)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4154)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4155)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4155) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4156)  all_56_4 = e3 & op(e3, e1) = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4156) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4157)  all_56_4 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (3675),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3696), (4157), (function-axioms) are inconsistent
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #977.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4158)  all_56_5 = e3 & op(e2, e1) = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4158) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4159)  all_56_5 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4154) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4160)  all_54_3 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4160) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4161)  all_52_12 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (4161) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4162)   ~ (all_52_14 = e2)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4162) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4163)   ~ (all_52_14 = e2)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (4161) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4164)   ~ (e3 = e2)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4165)  all_56_15 = e0 & op(e0, e0) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4165) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4166)  op(e0, e0) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4166), (function-axioms) are
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4167)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4167) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4168)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4168) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4169)  all_56_12 = e0 & op(e0, e3) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4169) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4170)  all_56_12 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4171)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3671), (3696), (4171),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #975.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4172)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4172) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4173)  all_56_6 = e2 & op(e1, e3) = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4173) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4174)  all_56_6 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4175)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (221), (223),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (234), (3666), (3671), (3675), (3696),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4112), (4124), (4159), (4175), (function-axioms)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #943.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4176)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4176) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4177)  all_56_11 = e3 & op(e1, e0) = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4177) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4178)  all_56_11 = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4179)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4179) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4180)  all_56_6 = e0 & op(e1, e3) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4174), (4180) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1601.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4181)  all_56_7 = e0 & op(e1, e2) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4181) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4182)  all_56_7 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4183)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4183) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4184)  all_56_1 = e2 & op(e3, e2) = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3675), (4184) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1105.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4185)  all_56_3 = e2 & op(e2, e2) = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4185) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4186)  all_56_3 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4187)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4187) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4188)  all_56_2 = e0 & op(e2, e3) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4188) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4189)  all_56_2 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3671), (4189) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1713.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4190)  all_56_3 = e0 & op(e2, e2) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4190) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4191)  all_56_3 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4186), (4191) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4192)  e2 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4192) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4193)  $false
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4193) is inconsistent.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4194)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4194) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4195)  all_56_5 = e0 & op(e2, e1) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4195) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4196)  all_56_5 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3666), (3675), (3696), (4112), (4196),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #973.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4197)  all_56_10 = e0 & op(e2, e0) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4197) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4198)  op(e2, e0) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3649) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4199)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e1) = all_16_1 & $i(all_16_0) &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_16_1)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4199) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4200)  op(e0, e1) = all_16_1
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (110), (141), (164), (193), (196), (197),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (230), (234), (250), (259), (260), (268),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (309), (360), (3638), (3644), (3645), (3666),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3668), (3675), (3680), (3693), (3696), (3730),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3732), (4112), (4113), (4117), (4121), (4159),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4163), (4198), (4200), (function-axioms) are
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #940.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4201)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_16_1)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4201) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4202)  op(e0, e1) = all_16_1
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (110), (141), (164), (193), (196), (197),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (230), (234), (250), (259), (260), (268),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (309), (360), (3638), (3644), (3645), (3666),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3668), (3675), (3680), (3693), (3696), (3730),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3732), (4112), (4113), (4117), (4121), (4159),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4163), (4198), (4202), (function-axioms) are
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #940.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4203)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4203) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4204)  all_56_7 = e2 & op(e1, e2) = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4204) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4205)  all_56_7 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4182), (4205) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1868.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4206)  all_56_13 = e2 & op(e0, e2) = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4206) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4207)  all_56_13 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4129), (4207) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4208)  e3 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4178), (4208) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4209)  all_56_11 = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4210)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (221), (223),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (234), (3666), (3671), (3675), (3696),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4112), (4124), (4159), (4210), (function-axioms)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #943.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (3646), (4176), (4209),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1084.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4211)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4211) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4212)  all_56_8 = e0 & op(e1, e1) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4212) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4213)  op(e1, e1) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4213), (function-axioms) are
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4214)  all_56_11 = e0 & op(e1, e0) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4214) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4215)  all_56_11 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4178), (4215) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4216)  e3 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4216) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4217)  e3 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4159), (4217) imply:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4218)  all_56_5 = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3666), (3675), (3696), (4112), (4218),
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #973.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4219)  all_56_15 = e3 & op(e0, e0) = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4219) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4220)  op(e0, e0) = e3
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4220), (function-axioms) are
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4221)  all_56_12 = e2 & op(e0, e3) = e2
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4170), (4221) are inconsistent by sub-proof
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4222)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4222) gives:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4223)  all_56_13 = e0 & op(e0, e2) = e0
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4223) implies:
% 187.52/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4224)  all_56_13 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4129), (4224) imply:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4225)  e3 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4225) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4226)  e3 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4159), (4226) imply:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4227)  all_56_5 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3666), (3675), (3696), (4112), (4227),
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #973.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4228)  all_56_14 = e0 & op(e0, e1) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4228) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4229)  all_56_14 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4112), (4229) are inconsistent by sub-proof
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1695.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4230)  all_54_3 = e1 | all_54_3 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3643), (4146), (4230) are inconsistent by
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4231)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (3666), (4112), (4231),
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #974.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4232)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4232) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4233)  all_56_14 = e3 & op(e0, e1) = e3
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4112), (4233) are inconsistent by sub-proof
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1698.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4234)  all_56_15 = e3 & op(e0, e0) = e3
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4234) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4235)  op(e0, e0) = e3
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4235), (function-axioms) are
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4236)  all_56_5 = e0 & op(e2, e1) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4236) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4237)  all_56_5 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3666), (3675), (3696), (4112), (4237),
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #973.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4238)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4238) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4239)  all_56_8 = e0 & op(e1, e1) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4239) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4240)  op(e1, e1) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4240), (function-axioms) are
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4241)  all_56_14 = e0 & op(e0, e1) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4241) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4242)  all_56_14 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4112), (4242) are inconsistent by sub-proof
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1695.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (4243)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4243) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4244)  all_54_14 = e2
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3728), (4244) are inconsistent by
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1740.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4245)  all_54_14 = e1 | all_54_14 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3642), (3725), (4245) are inconsistent by
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1737.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |   (4246)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4246) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |   (4247)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4247) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |   (4248)  op(e3, e0) = e3
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e3, simplifying with (168), (4248) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |   (4249)  all_52_12 = e3
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3695), (4249) imply:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |   (4250)  $false
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4250) is inconsistent.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |   (4251)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4251) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |   (4252)  op(e3, e0) = e3
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3695), (4252), (function-axioms) are
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |   (4253)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4253) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |   (4254)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3696), (4254), (function-axioms) are
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |   (4255)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4255) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |   (4256)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4256) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |   (4257)  op(e1, e1) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4257), (function-axioms) are
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |   (4258)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4258) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |   (4259)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4259) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |   (4260)  op(e1, e0) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4260), (function-axioms) are
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |   (4261)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4261) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |   (4262)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (373), (3666), (3668),
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |            (3696), (4262), (function-axioms) are inconsistent
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1953.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | |   (4263)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 187.52/28.62  | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (3689), (4263) are
% 187.52/28.62  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4264)  all_56_3 = e1 & op(e2, e2) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | ALPHA: (4264) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4265)  op(e2, e2) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (3668), (4265), (function-axioms) are
% 187.52/28.62  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | |   (4266)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 187.52/28.62  | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 187.52/28.62  | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | BETA: splitting (4266) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4267)  all_56_7 = e1 & op(e1, e2) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | ALPHA: (4267) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4268)  op(e1, e2) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 187.52/28.62  | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (4268) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4269)  all_52_6 = e1
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | REDUCE: (3662), (4269) imply:
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4270)  $false
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | CLOSE: (4270) is inconsistent.
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4271)  all_56_13 = e1 & op(e0, e2) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | ALPHA: (4271) implies:
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4272)  op(e0, e2) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 187.52/28.62  | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (4272) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4273)  all_52_7 = e1
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | REDUCE: (3641), (4273) imply:
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4274)  $false
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | CLOSE: (4274) is inconsistent.
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | |   (4275)  all_56_3 = e1 & op(e2, e2) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | ALPHA: (4275) implies:
% 187.52/28.62  | | | | | | | | | | | | | | |   (4276)  op(e2, e2) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | REF_CLOSE: (36), (3668), (4276), (function-axioms) are
% 187.52/28.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 187.52/28.62  | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | |   (4277)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 187.52/28.62  | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 187.52/28.62  | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (3644), (3664), (4277),
% 187.52/28.62  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.52/28.62  | | | | | | | | | | | | | |            #939.
% 187.52/28.62  | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | |   (4278)  all_24_2 = e1
% 187.52/28.62  | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | COMBINE_EQS: (318), (4278) imply:
% 187.52/28.62  | | | | | | | | | | | | |   (4279)  all_4_2 = e1
% 187.52/28.62  | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | SIMP: (4279) implies:
% 187.52/28.62  | | | | | | | | | | | | |   (4280)  all_4_2 = e1
% 187.52/28.62  | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | REDUCE: (352), (4280) imply:
% 187.52/28.62  | | | | | | | | | | | | |   (4281)   ~ (all_52_4 = e1)
% 187.52/28.62  | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | REDUCE: (373), (4280) imply:
% 187.52/28.62  | | | | | | | | | | | | |   (4282)   ~ (e3 = e1)
% 187.52/28.62  | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | REDUCE: (36), (4280) imply:
% 187.52/28.62  | | | | | | | | | | | | |   (4283)  op(e2, e2) = e1
% 187.52/28.62  | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | BETA: splitting (232) gives:
% 187.52/28.62  | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | |   (4284)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 187.52/28.62  | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 187.52/28.62  | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | BETA: splitting (4284) gives:
% 187.52/28.62  | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | |   (4285)  all_56_0 = e1 & op(e3, e3) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | ALPHA: (4285) implies:
% 187.52/28.62  | | | | | | | | | | | | | | |   (4286)  op(e3, e3) = e1
% 187.52/28.62  | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e1,
% 187.52/28.62  | | | | | | | | | | | | | | |              e3, e3, simplifying with (39), (4286) gives:
% 187.52/28.62  | | | | | | | | | | | | | | |   (4287)  all_6_2 = e1
% 187.52/28.62  | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | |   (4288)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.52/28.62  | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.62  | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.52/28.62  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.62  | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.52/28.62  | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.62  | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.62  | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.52/28.62  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 187.52/28.62  | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.52/28.62  | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.52/28.62  | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.52/28.62  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.52/28.62  | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.52/28.62  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.52/28.62  | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 187.52/28.62  | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.52/28.62  | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 187.52/28.62  | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.52/28.62  | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.52/28.62  | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.52/28.62  | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.52/28.62  | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.52/28.62  | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.62  | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.52/28.62  | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | BETA: splitting (4288) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | |   (4289)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.52/28.62  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.62  | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.62  | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.52/28.62  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.62  | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.62  | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.52/28.62  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.62  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.62  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.62  | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.52/28.62  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.62  | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.62  | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | BETA: splitting (4289) gives:
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | |   (4290)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.52/28.62  | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (3666), (4290), (function-axioms) are
% 187.52/28.62  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #981.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | |   (4291)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.52/28.62  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.52/28.62  | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 187.52/28.62  | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4283), (4291), (function-axioms) are
% 187.52/28.62  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #938.
% 187.52/28.62  | | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | | End of split
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.62  | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.62  | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | |   (4292)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.52/28.63  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.52/28.63  | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.52/28.63  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.52/28.63  | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.52/28.63  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.52/28.63  | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.52/28.63  | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.52/28.63  | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.52/28.63  | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.52/28.63  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.52/28.63  | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.52/28.63  | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 187.52/28.63  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.52/28.63  | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 187.52/28.63  | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | BETA: splitting (4292) gives:
% 187.52/28.63  | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | |   (4293)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.52/28.63  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 187.52/28.63  | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (3666), (4293), (function-axioms) are
% 187.52/28.63  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 187.52/28.63  | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | |   (4294)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 187.52/28.63  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.52/28.63  | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.52/28.63  | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | BETA: splitting (4294) gives:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |   (4295)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |             e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | ALPHA: (4295) implies:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |   (4296)  op(e3, e3) = e2
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4286), (4296), (function-axioms) are
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |   (4297)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | BETA: splitting (4297) gives:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |   (4298)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | ALPHA: (4298) implies:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |   (4299)  op(e0, e0) = e2
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (4299), (function-axioms) are
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |   (4300)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | ALPHA: (4300) implies:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |   (4301)  all_57_6 = e3
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |   (4302)   ~ (all_57_10 = e1)
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |   (4303)   ~ (all_57_7 = e2)
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | |   (4304)  op(e3, e3) = all_57_10
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |   (4305)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4305) gives:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |   (4306)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4306) gives:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |   (4307)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4307) gives:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4308)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4308) implies:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4309)  all_57_10 = e2
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4304), (4309) imply:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4310)  op(e3, e3) = e2
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4286), (4310), (function-axioms) are
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4311)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4311) implies:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4312)  op(e2, e2) = e3
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4283), (4312), (function-axioms) are
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.52/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |   (4313)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (4302), (4313), (function-axioms) are
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #937.
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |   (4314)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4314) gives:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |   (4315)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4315) gives:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4316)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4316) implies:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4317)  all_57_10 = e0
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4302), (4317) imply:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4318)   ~ (e1 = e0)
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4304), (4317) imply:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4319)  op(e3, e3) = e0
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4286), (4319), (function-axioms) are
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4320)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_1 & $i(all_57_1)))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4320) implies:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4321)  op(e0, e0) = e3
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4321), (function-axioms) are
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |   (4322)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4322) gives:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4323)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4323) implies:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4324)  all_57_7 = e2
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4303), (4324) imply:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4325)  $false
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4325) is inconsistent.
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4326)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4326) implies:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |   (4327)  op(e1, e1) = e2
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (4327), (function-axioms) are
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |   (4328)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4328) gives:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |   (4329)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4329) gives:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |   (4330)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3646), (4283), (4330),
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | |            #936.
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |   (4331)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4331) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (4332)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4332) implies:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (4333)  op(e1, e1) = e0
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4333), (function-axioms) are
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (4334)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4334) implies:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (4335)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4301), (4302), (4335) are inconsistent by
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #935.
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |   (4336)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4336) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |   (4337)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4337) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (4338)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4338) implies:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (4339)  all_57_10 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4304), (4339) imply:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (4340)  op(e3, e3) = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4286), (4340), (function-axioms) are
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (4341)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4341) implies:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (4342)  op(e2, e2) = e2
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4283), (4342), (function-axioms) are
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |   (4343)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4301), (4302), (4343),
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |            #934.
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64  | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | |   (4344)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.80/28.64  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.64  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.80/28.64  | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.80/28.64  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.80/28.64  | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.80/28.64  | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.80/28.64  | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.80/28.64  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.80/28.64  | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.80/28.64  | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.80/28.64  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.80/28.64  | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 187.80/28.64  | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.80/28.64  | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.80/28.64  | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.80/28.64  | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 187.80/28.64  | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.80/28.64  | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 187.80/28.64  | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.80/28.64  | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.80/28.64  | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.80/28.64  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.80/28.64  | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.80/28.64  | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.80/28.64  | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.80/28.64  | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.80/28.64  | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.80/28.64  | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.80/28.64  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.80/28.64  | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.80/28.64  | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.80/28.64  | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.80/28.64  | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.80/28.64  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.80/28.64  | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.80/28.64  | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.80/28.64  | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.80/28.64  | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | BETA: splitting (4344) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | |   (4345)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.80/28.64  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.64  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.80/28.64  | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.80/28.64  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.80/28.64  | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.80/28.64  | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.80/28.64  | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.80/28.64  | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.80/28.64  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.80/28.64  | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.80/28.64  | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.80/28.64  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.80/28.64  | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.80/28.64  | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | BETA: splitting (4345) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | |   (4346)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.80/28.64  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.80/28.64  | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | BETA: splitting (4346) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | |   (4347)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | ALPHA: (4347) implies:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | |   (4348)  all_57_6 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | |   (4349)   ~ (all_57_10 = e1)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |   (4350)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4350) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |   (4351)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4351) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |   (4352)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4283), (4286), (4352),
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |            #1185.
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |   (4353)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (4349), (4353), (function-axioms) are
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #937.
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |   (4354)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4354) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |   (4355)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (4286), (4355),
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |            #933.
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |   (4356)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4356) gives:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |   (4357)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4357) implies:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |   (4358)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4348), (4349), (4358) are inconsistent by
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #935.
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |   (4359)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4359) implies:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |   (4360)  op(e1, e1) = e2
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (4360), (function-axioms) are
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.64  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |   (4361)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4361) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |   (4362)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4362) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |   (4363)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3646), (4283), (4363),
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |            #936.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |   (4364)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4364) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4365)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4365) implies:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4366)  op(e1, e1) = e0
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4366), (function-axioms) are
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4367)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4367) implies:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4368)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4348), (4349), (4368) are inconsistent by
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #935.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |   (4369)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4369) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |   (4370)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4283), (4286), (4370),
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |            #1134.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |   (4371)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4348), (4349), (4371),
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |            #934.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | |   (4372)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | ALPHA: (4372) implies:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | |   (4373)  all_57_10 = e1
% 187.80/28.65  | | | | | | | | | | | | | | | | | | |   (4374)  all_57_7 = e2
% 187.80/28.65  | | | | | | | | | | | | | | | | | | |   (4375)   ~ (all_57_12 = e1)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | |   (4376)   ~ (all_57_6 = e3)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | |   (4377)  op(e2, e2) = all_57_12
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |   (4378)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4378) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |   (4379)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4379) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |   (4380)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4380) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4381)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4381) implies:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4382)  all_57_10 = e2
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4373), (4382) imply:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4383)  e2 = e1
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4383) implies:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4384)  e2 = e1
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4384) imply:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4385)  $false
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4385) is inconsistent.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4386)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |             e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4386) implies:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4387)  all_57_12 = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4377), (4387) imply:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4388)  op(e2, e2) = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4283), (4388), (function-axioms) are
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |   (4389)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4389) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4390)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4390) implies:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4391)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4374), (4375), (4391) are inconsistent by
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1892.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4392)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4392) implies:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4393)  all_57_6 = e1
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4394)  op(e1, e1) = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (4394), (function-axioms) are
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |   (4395)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4395) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |   (4396)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4396) gives:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4397)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4397) implies:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4398)  all_57_10 = e0
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4373), (4398) imply:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4399)  e1 = e0
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (4399) imply:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4400)  $false
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4400) is inconsistent.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4401)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |             e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |               all_57_1 & $i(all_57_1)))
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4401) implies:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |   (4402)  op(e0, e0) = e3
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4402), (function-axioms) are
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |   (4403)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.65  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4403) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4404)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4404) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4405)  all_57_12 = e1
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4375), (4405) imply:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4406)  $false
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4406) is inconsistent.
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4407)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4407) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4408)  all_57_7 = e1
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4374), (4408) imply:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4409)  e2 = e1
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4409) imply:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4410)  $false
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4410) is inconsistent.
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |   (4411)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4411) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |   (4412)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4412) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |   (4413)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4413) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4414)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4414) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4415)  all_57_12 = e0
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4375), (4415) imply:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4416)   ~ (e1 = e0)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4377), (4415) imply:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4417)  op(e2, e2) = e0
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4283), (4417), (function-axioms) are
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4418)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4418) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4419)  op(e0, e0) = e2
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (4419), (function-axioms) are
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |   (4420)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4420) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4421)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4421) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4422)  op(e1, e0) = e1
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4422), (function-axioms) are
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4423)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4423) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4424)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4374), (4375), (4424) are inconsistent by
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1892.
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |   (4425)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4425) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |   (4426)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4426) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4427)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4427) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4428)  all_57_10 = e3
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4373), (4428) imply:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4429)  e3 = e1
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4429) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4430)  e3 = e1
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4430) imply:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4431)  $false
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4431) is inconsistent.
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4432)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4432) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4433)  all_57_12 = e2
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4377), (4433) imply:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4434)  op(e2, e2) = e2
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4283), (4434), (function-axioms) are
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |   (4435)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4435) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4436)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4436) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4437)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4374), (4375), (4437) are inconsistent by
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1892.
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4438)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4438) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |   (4439)  op(e0, e0) = e0
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4439), (function-axioms) are
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.66  | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | |   (4440)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | BETA: splitting (4440) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | |   (4441)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | ALPHA: (4441) implies:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | |   (4442)  all_57_7 = e2
% 187.80/28.66  | | | | | | | | | | | | | | | | | | |   (4443)   ~ (all_57_12 = e1)
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |   (4444)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4444) gives:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.66  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |   (4445)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4445) gives:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |   (4446)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4283), (4286), (4446),
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |            #1185.
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |   (4447)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4447) gives:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (4448)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4448) implies:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (4449)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4442), (4443), (4449) are inconsistent by
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1892.
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (4450)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4450) implies:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (4451)  op(e1, e1) = e3
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3666), (4451), (function-axioms) are
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |   (4452)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4452) gives:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |   (4453)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (4286), (4453),
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |            #933.
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |   (4454)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4454) gives:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (4455)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4455) implies:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (4456)  all_57_12 = e1
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4443), (4456) imply:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (4457)  $false
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4457) is inconsistent.
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (4458)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4458) implies:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (4459)  op(e1, e1) = e2
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (4459), (function-axioms) are
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | End of split
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |   (4460)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4460) gives:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |   (4461)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4461) gives:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |   (4462)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3646), (4283), (4462),
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | |            #936.
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.80/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |   (4463)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4442), (4443), (4463),
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |            #948.
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |   (4464)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4464) gives:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |   (4465)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4283), (4286), (4465),
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |            #1134.
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |   (4466)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4442), (4443), (4466),
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | |            #947.
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |   (4467)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4283), (4467), (function-axioms) are
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1676.
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67  | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | End of split
% 187.92/28.67  | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67  | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | |   (4468)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.92/28.67  | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.67  | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.67  | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.92/28.67  | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.67  | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.67  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.92/28.67  | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.67  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.92/28.67  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.67  | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 187.92/28.67  | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.92/28.67  | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.92/28.67  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.92/28.67  | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.67  | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 187.92/28.67  | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.67  | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.67  | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.67  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.67  | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.67  | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.67  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.67  | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.67  | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.67  | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | BETA: splitting (4468) gives:
% 187.92/28.67  | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | |   (4469)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.67  | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.92/28.67  | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 187.92/28.67  | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4286), (4469), (function-axioms) are
% 187.92/28.67  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 187.92/28.67  | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | |   (4470)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.67  | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.67  | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.67  | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | BETA: splitting (4470) gives:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |   (4471)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | ALPHA: (4471) implies:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |   (4472)  op(e1, e1) = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3666), (4472), (function-axioms) are
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |   (4473)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.92/28.67  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | BETA: splitting (4473) gives:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.67  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |   (4474)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | ALPHA: (4474) implies:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |   (4475)  op(e1, e0) = e1
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4475), (function-axioms) are
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |   (4476)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | ALPHA: (4476) implies:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |   (4477)  op(e0, e0) = all_57_15
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |   (4478)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (3646), (4477)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |              gives:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | |   (4479)  all_57_15 = e1
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4478) gives:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |   (4480)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4480) gives:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |   (4481)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4481) implies:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |   (4482)  op(e2, e2) = e3
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4283), (4482), (function-axioms) are
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |   (4483)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3666), (4286), (4483),
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |            #1079.
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |   (4484)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4484) gives:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |   (4485)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4485) implies:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |   (4486)  op(e1, e1) = e2
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3666), (4486), (function-axioms) are
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |   (4487)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4487) gives:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |   (4488)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4488) implies:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |   (4489)   ~ (all_57_15 = e1)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4479), (4489) imply:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |   (4490)  $false
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4490) is inconsistent.
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |   (4491)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4491) implies:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |   (4492)   ~ (all_57_15 = e1)
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4479), (4492) imply:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | |   (4493)  $false
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4493) is inconsistent.
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | |   (4494)  all_56_1 = e1 & op(e3, e2) = e1
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | ALPHA: (4494) implies:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4495)  op(e3, e2) = e1
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | REF_CLOSE: (170), (4281), (4495), (function-axioms) are
% 187.92/28.68  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1910.
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | |   (4496)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 187.92/28.68  | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | BETA: splitting (4496) gives:
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | |   (4497)  all_56_4 = e1 & op(e3, e1) = e1
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | ALPHA: (4497) implies:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4498)  op(e3, e1) = e1
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 187.92/28.68  | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (4498) gives:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4499)  all_52_8 = e1
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | REDUCE: (3663), (4499) imply:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4500)  $false
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | CLOSE: (4500) is inconsistent.
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | |   (4501)  all_56_9 = e1 & op(e3, e0) = e1
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | ALPHA: (4501) implies:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4502)  op(e3, e0) = e1
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 187.92/28.68  | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (4502) gives:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4503)  all_52_12 = e1
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | REDUCE: (3643), (4503) imply:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4504)  $false
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | CLOSE: (4504) is inconsistent.
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | |   (4505)  all_54_10 = e0
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | REF_CLOSE: (336), (3653), (4505) are inconsistent by
% 187.92/28.68  | | | | | | | | | | | |            sub-proof #932.
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | |   (4506)  all_22_2 = e0
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | COMBINE_EQS: (251), (4506) imply:
% 187.92/28.68  | | | | | | | | |   (4507)  all_10_2 = e0
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | SIMP: (4507) implies:
% 187.92/28.68  | | | | | | | | |   (4508)  all_10_2 = e0
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | REDUCE: (363), (4508) imply:
% 187.92/28.68  | | | | | | | | |   (4509)   ~ (all_52_8 = e0)
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | REDUCE: (364), (4508) imply:
% 187.92/28.68  | | | | | | | | |   (4510)   ~ (all_52_9 = e0)
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | REDUCE: (366), (4508) imply:
% 187.92/28.68  | | | | | | | | |   (4511)   ~ (all_52_11 = e0)
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | REDUCE: (368), (4508) imply:
% 187.92/28.68  | | | | | | | | |   (4512)   ~ (all_52_14 = e0)
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | REDUCE: (3651), (4508) imply:
% 187.92/28.68  | | | | | | | | |   (4513)   ~ (e3 = e0)
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | REDUCE: (375), (4508) imply:
% 187.92/28.68  | | | | | | | | |   (4514)   ~ (e2 = e0)
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | REDUCE: (45), (4508) imply:
% 187.92/28.68  | | | | | | | | |   (4515)  op(e1, e1) = e0
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | BETA: splitting (67) gives:
% 187.92/28.68  | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | |   (4516)   ~ (all_24_2 = e1)
% 187.92/28.68  | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | REDUCE: (318), (4516) imply:
% 187.92/28.68  | | | | | | | | | |   (4517)   ~ (all_4_2 = e1)
% 187.92/28.68  | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | BETA: splitting (70) gives:
% 187.92/28.68  | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | |   (4518)   ~ (all_26_2 = e1)
% 187.92/28.68  | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | REDUCE: (307), (4518) imply:
% 187.92/28.68  | | | | | | | | | | |   (4519)   ~ (all_6_2 = e1)
% 187.92/28.68  | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | BETA: splitting (204) gives:
% 187.92/28.68  | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | |   (4520)  all_54_0 = e3
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | COMBINE_EQS: (279), (4520) imply:
% 187.92/28.68  | | | | | | | | | | | |   (4521)  all_6_2 = e3
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | SIMP: (4521) implies:
% 187.92/28.68  | | | | | | | | | | | |   (4522)  all_6_2 = e3
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | REDUCE: (346), (4522) imply:
% 187.92/28.68  | | | | | | | | | | | |   (4523)   ~ (all_52_8 = e3)
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | REDUCE: (348), (4522) imply:
% 187.92/28.68  | | | | | | | | | | | |   (4524)   ~ (all_52_12 = e3)
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | REDUCE: (39), (4522) imply:
% 187.92/28.68  | | | | | | | | | | | |   (4525)  op(e3, e3) = e3
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | BETA: splitting (79) gives:
% 187.92/28.68  | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | |   (4526)   ~ (all_32_2 = e0)
% 187.92/28.68  | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | REDUCE: (314), (4526) imply:
% 187.92/28.68  | | | | | | | | | | | | |   (4527)   ~ (all_4_2 = e0)
% 187.92/28.68  | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | BETA: splitting (199) gives:
% 187.92/28.68  | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | |   (4528)  all_54_5 = e3
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | COMBINE_EQS: (268), (4528) imply:
% 187.92/28.68  | | | | | | | | | | | | | |   (4529)  all_4_2 = e3
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | REDUCE: (373), (4529) imply:
% 187.92/28.68  | | | | | | | | | | | | | |   (4530)  $false
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | CLOSE: (4530) is inconsistent.
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | |   (4531)   ~ (all_54_5 = e3)
% 187.92/28.68  | | | | | | | | | | | | | |   (4532)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | BETA: splitting (4532) gives:
% 187.92/28.68  | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | |   (4533)  all_54_5 = e2
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4533) imply:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4534)  all_4_2 = e2
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | REDUCE: (358), (4534) imply:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4535)   ~ (all_52_9 = e2)
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | REDUCE: (360), (4534) imply:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4536)   ~ (all_52_13 = e2)
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | REDUCE: (373), (4534) imply:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4537)   ~ (e3 = e2)
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | REDUCE: (36), (4534) imply:
% 187.92/28.68  | | | | | | | | | | | | | | |   (4538)  op(e2, e2) = e2
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.92/28.68  | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | |   (4539)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.68  | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.68  | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.68  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.68  | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.68  | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.68  | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.68  | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.92/28.68  | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.92/28.68  | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.92/28.68  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.92/28.68  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.92/28.68  | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.92/28.68  | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.92/28.68  | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.92/28.68  | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.92/28.68  | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.68  | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | BETA: splitting (4539) gives:
% 187.92/28.68  | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | |   (4540)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.68  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.68  | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.68  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.68  | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.68  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.68  | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 187.92/28.68  | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (36), (373), (3646), (4515), (4540),
% 187.92/28.68  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.68  | | | | | | | | | | | | | | | | |            #931.
% 187.92/28.68  | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | |   (4541)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.68  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.68  | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.68  | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.68  | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.92/28.68  | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.92/28.68  | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.92/28.68  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.92/28.68  | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 187.92/28.68  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.92/28.68  | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 187.92/28.68  | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | BETA: splitting (4541) gives:
% 187.92/28.68  | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | |   (4542)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 187.92/28.68  | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3646), (4515), (4542),
% 187.92/28.68  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.68  | | | | | | | | | | | | | | | | | |            #930.
% 187.92/28.68  | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | |   (4543)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 187.92/28.68  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.92/28.68  | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.68  | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.68  | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3646), (4525), (4538), (4543),
% 187.92/28.68  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.68  | | | | | | | | | | | | | | | | | |            #928.
% 187.92/28.68  | | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | End of split
% 187.92/28.68  | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | Case 2:
% 187.92/28.68  | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | |   (4544)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.68  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.68  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.68  | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.68  | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.68  | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.68  | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.68  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.68  | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.68  | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.92/28.68  | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.92/28.68  | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.92/28.68  | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.92/28.68  | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 187.92/28.68  | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.92/28.68  | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 187.92/28.68  | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.68  | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.68  | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.68  | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.68  | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.92/28.68  | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.68  | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.68  | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.68  | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.68  | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.68  | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.68  | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.68  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.68  | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.68  | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.68  | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.68  | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.68  | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.68  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.68  | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.68  | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.68  | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.68  | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.68  | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.68  | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | BETA: splitting (4544) gives:
% 187.92/28.68  | | | | | | | | | | | | | | | | 
% 187.92/28.68  | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.68  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | |   (4545)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.69  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.69  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.69  | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.92/28.69  | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.69  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.69  | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.69  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.69  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | BETA: splitting (4545) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | |   (4546)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.69  | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (4523), (4525), (4546),
% 187.92/28.69  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.69  | | | | | | | | | | | | | | | | | |            #1351.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | |   (4547)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | BETA: splitting (4547) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4548)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | ALPHA: (4548) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4549)  op(e2, e1) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (4549) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4550)  all_52_9 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | REDUCE: (4535), (4550) imply:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4551)  $false
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | CLOSE: (4551) is inconsistent.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4552)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4524), (4552), (function-axioms) are
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1963.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | |   (4553)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.92/28.69  | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.69  | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.92/28.69  | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.69  | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.92/28.69  | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 187.92/28.69  | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.92/28.69  | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.92/28.69  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.92/28.69  | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.69  | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 187.92/28.69  | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.69  | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.69  | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.69  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.69  | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.69  | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.69  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.69  | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | BETA: splitting (4553) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | |   (4554)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.69  | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.92/28.69  | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4525), (4554), (function-axioms) are
% 187.92/28.69  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | |   (4555)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.69  | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.69  | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | BETA: splitting (4555) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4556)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | ALPHA: (4556) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4557)  op(e2, e0) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (4557) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4558)  all_52_13 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | REDUCE: (4536), (4558) imply:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4559)  $false
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | CLOSE: (4559) is inconsistent.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4560)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (36), (157), (160), (373),
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |            (3645), (4511), (4515), (4525), (4560),
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |            #927.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | |   (4561)  all_54_5 = e1 | all_54_5 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | REF_CLOSE: (268), (4517), (4527), (4561) are inconsistent by
% 187.92/28.69  | | | | | | | | | | | | | | |            sub-proof #1941.
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | |   (4562)  all_32_2 = e0
% 187.92/28.69  | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | COMBINE_EQS: (314), (4562) imply:
% 187.92/28.69  | | | | | | | | | | | | |   (4563)  all_4_2 = e0
% 187.92/28.69  | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | COMBINE_EQS: (309), (4563) imply:
% 187.92/28.69  | | | | | | | | | | | | |   (4564)  all_36_2 = e0
% 187.92/28.69  | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | REDUCE: (4517), (4563) imply:
% 187.92/28.69  | | | | | | | | | | | | |   (4565)   ~ (e1 = e0)
% 187.92/28.69  | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | REDUCE: (36), (4563) imply:
% 187.92/28.69  | | | | | | | | | | | | |   (4566)  op(e2, e2) = e0
% 187.92/28.69  | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | BETA: splitting (229) gives:
% 187.92/28.69  | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | |   (4567)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 187.92/28.69  | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 187.92/28.69  | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | BETA: splitting (4567) gives:
% 187.92/28.69  | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | |   (4568)  all_56_0 = e0 & op(e3, e3) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | ALPHA: (4568) implies:
% 187.92/28.69  | | | | | | | | | | | | | | |   (4569)  op(e3, e3) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | REF_CLOSE: (7), (4525), (4569), (function-axioms) are
% 187.92/28.69  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | |   (4570)  all_56_2 = e0 & op(e2, e3) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | ALPHA: (4570) implies:
% 187.92/28.69  | | | | | | | | | | | | | | |   (4571)  all_56_2 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | |   (4572)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 187.92/28.69  | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 187.92/28.69  | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4566), (4571), (4572), (function-axioms) are
% 187.92/28.69  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1712.
% 187.92/28.69  | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | |   (4573)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 187.92/28.69  | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 187.92/28.69  | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | BETA: splitting (4573) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | |   (4574)  all_56_5 = e1 & op(e2, e1) = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | ALPHA: (4574) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | |   (4575)  all_56_5 = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | |   (4576)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | BETA: splitting (4576) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4577)  all_56_2 = e2 & op(e2, e3) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | ALPHA: (4577) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4578)  all_56_2 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4571), (4578) are inconsistent by sub-proof
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |            #1715.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4579)  all_56_3 = e2 & op(e2, e2) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | ALPHA: (4579) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4580)  all_56_3 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | |   (4581)  op(e2, e2) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | |   (4582)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4582) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |   (4583)  all_56_0 = e1 & op(e3, e3) = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | ALPHA: (4583) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |   (4584)  op(e3, e3) = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4525), (4584), (function-axioms) are
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |   (4585)  all_56_2 = e1 & op(e2, e3) = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | ALPHA: (4585) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |   (4586)  all_56_2 = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4571), (4586) imply:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |   (4587)  e1 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | SIMP: (4587) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |   (4588)  e1 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4575), (4588) imply:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |   (4589)  all_56_5 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |            (4515), (4589), (function-axioms) are inconsistent
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1551.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | |   (4590)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4590) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |   (4591)  all_56_6 = e1 & op(e1, e3) = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | ALPHA: (4591) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |   (4592)  all_56_6 = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | |   (4593)  op(e1, e3) = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | |   (4594)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4525), (4571), (4594),
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | |            #1603.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | |   (4595)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4595) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | |   (4596)  all_56_6 = e2 & op(e1, e3) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4596) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | |   (4597)  all_56_6 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4592), (4597) are inconsistent by sub-proof
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | |            #1779.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | |   (4598)  all_56_12 = e2 & op(e0, e3) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4598) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | |   (4599)  all_56_12 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |   (4600)  all_56_15 = e0 & op(e0, e0) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4600) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |   (4601)  op(e0, e0) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4601), (function-axioms) are
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |   (4602)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4602) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |   (4603)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4603) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (4604)  all_56_12 = e0 & op(e0, e3) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4604) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (4605)  all_56_12 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4599), (4605) are inconsistent by sub-proof
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | |            #1852.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (4606)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4606) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4607)  all_56_13 = e0 & op(e0, e2) = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4607) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4608)  all_56_13 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4609)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4609) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4610)  all_56_12 = e3 & op(e0, e3) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4610) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4611)  all_56_12 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4599), (4611) are inconsistent by sub-proof
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1354.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4612)  all_56_13 = e3 & op(e0, e2) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4612) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4613)  all_56_13 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4608), (4613) are inconsistent by sub-proof
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1360.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4614)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4614) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4615)  all_56_14 = e3 & op(e0, e1) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4615) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4616)  all_56_14 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4617)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4617) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4618)  all_56_1 = e3 & op(e3, e2) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4618) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4619)  all_56_1 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (168), (219), (232), (3643),
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4515), (4525), (4575), (4616), (4619),
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1400.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4620)  all_56_3 = e3 & op(e2, e2) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4620) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4621)  op(e2, e2) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4621), (function-axioms) are
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4622)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4622) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4623)  all_56_7 = e3 & op(e1, e2) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4623) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4624)  all_56_7 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4625)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4625) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4626)  all_56_4 = e2 & op(e3, e1) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4626) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4627)  all_56_4 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4628)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (4592), (4624), (4628) are inconsistent
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1778.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4629)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4629) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4630)  all_56_8 = e2 & op(e1, e1) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4630) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4631)  op(e1, e1) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4515), (4631), (function-axioms) are
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4632)  all_56_11 = e2 & op(e1, e0) = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4632) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4633)  all_56_11 = e2
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4634)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4634) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4635)  all_56_2 = e3 & op(e2, e3) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4635) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4636)  all_56_2 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4571), (4636) imply:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4637)  e3 = e0
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (4515), (4592), (4624),
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4633), (4637), (function-axioms) are inconsistent
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #926.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4638)  all_56_3 = e3 & op(e2, e2) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4638) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4639)  op(e2, e2) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4639), (function-axioms) are
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4640)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4640) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4641)  all_56_5 = e3 & op(e2, e1) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4641) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4642)  all_56_5 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4575), (4642) imply:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4643)  e3 = e1
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4643) imply:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4644)  $false
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4644) is inconsistent.
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4645)  all_56_10 = e3 & op(e2, e0) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4645) implies:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4646)  all_56_10 = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4647)  op(e2, e0) = e3
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4648)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4648) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4649)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4649) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4650)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4650) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4651)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4651) implies:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4652)   ~ (all_57_1 = e1)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4653)  op(e1, e3) = all_57_1
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4593), (4652), (4653), (function-axioms) are
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1326.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4654)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4654) implies:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4655)  op(e2, e2) = all_57_12
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (216), (218), (219),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (4515), (4566), (4575), (4580),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4581), (4592), (4624), (4627), (4633), (4646),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4655), (function-axioms) are inconsistent by
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #924.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4656)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (3646), (4656),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #980.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4657)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4657) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4658)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3646), (4515), (4658),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #930.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4659)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3646), (4525), (4581), (4659),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #928.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4660)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4660) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4661)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4661) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4662)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (4523), (4525), (4662),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1351.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4663)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4663) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4664)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4664) implies:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4665)  op(e2, e2) = all_57_12
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (216), (218), (219),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (4515), (4566), (4575), (4580),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4581), (4592), (4624), (4627), (4633), (4646),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4665), (function-axioms) are inconsistent by
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #924.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4666)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4524), (4666), (function-axioms) are
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1963.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4667)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4667) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4668)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4525), (4668), (function-axioms) are
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4669)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4669) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4670)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4670) implies:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4671)  op(e2, e0) = e2
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (85), (4564), (4647), (4671),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1706.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4672)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4672) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4673)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4673) implies:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4674)  op(e1, e0) = e1
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4674), (function-axioms) are
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4675)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4675) implies:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4676)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4676) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4677)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4677) gives:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4678)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4678) implies:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4679)  op(e2, e2) = e3
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4679), (function-axioms) are
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4680)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4525), (4593), (4680), (function-axioms) are
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #923.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4681)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (157), (4511), (4515), (4525),
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4676), (4681), (function-axioms) are inconsistent
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1631.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4682)  all_56_5 = e2 & op(e2, e1) = e2
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4682) implies:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4683)  all_56_5 = e2
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4575), (4683) are inconsistent by sub-proof
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1822.
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4684)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4515), (4616), (4684),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1819.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4685)  all_56_13 = e3 & op(e0, e2) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4685) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4686)  all_56_13 = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4608), (4686) are inconsistent by sub-proof
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1360.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4687)  all_56_15 = e3 & op(e0, e0) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4687) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4688)  op(e0, e0) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4688), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4689)  all_56_14 = e0 & op(e0, e1) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4689) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4690)  op(e0, e1) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4511), (4690), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | |   (4691)  all_56_12 = e1 & op(e0, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | ALPHA: (4691) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | |   (4692)  op(e0, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3640), (4692), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | |   (4693)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (36), (85), (224), (373),
% 187.92/28.71  | | | | | | | | | | | | | | | | | |            (4564), (4571), (4575), (4693), (function-axioms)
% 187.92/28.71  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1704.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | |   (4694)  all_56_10 = e1 & op(e2, e0) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | ALPHA: (4694) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | |   (4695)  op(e2, e0) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3644), (4695), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | |   (4696)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 187.92/28.71  | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 187.92/28.71  | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | BETA: splitting (4696) gives:
% 187.92/28.71  | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | |   (4697)  all_56_6 = e0 & op(e1, e3) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | ALPHA: (4697) implies:
% 187.92/28.71  | | | | | | | | | | | | | | |   (4698)  all_56_6 = e0
% 187.92/28.71  | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 187.92/28.71  | | | | | | | | | | | | | | |            (216), (3645), (4515), (4698), (function-axioms)
% 187.92/28.71  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1527.
% 187.92/28.71  | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | |   (4699)  all_56_12 = e0 & op(e0, e3) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | ALPHA: (4699) implies:
% 187.92/28.71  | | | | | | | | | | | | | | |   (4700)  all_56_12 = e0
% 187.92/28.71  | | | | | | | | | | | | | | |   (4701)  op(e0, e3) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | |   (4702)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 187.92/28.71  | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 187.92/28.71  | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | BETA: splitting (4702) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | |   (4703)  all_56_0 = e0 & op(e3, e3) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | ALPHA: (4703) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | |   (4704)  op(e3, e3) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4525), (4704), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | |   (4705)  all_56_1 = e0 & op(e3, e2) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | ALPHA: (4705) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | |   (4706)  all_56_1 = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | |   (4707)  all_56_15 = e0 & op(e0, e0) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | ALPHA: (4707) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | |   (4708)  op(e0, e0) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4708), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | |   (4709)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 187.92/28.71  | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 187.92/28.71  | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | ALPHA: (4709) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | |   (4710)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 187.92/28.71  | | | | | | | | | | | | | | | | | |               e0) = e0)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | BETA: splitting (4710) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |   (4711)  all_56_9 = e0 & op(e3, e0) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (112),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |            (113), (117), (120), (123), (134), (157), (160),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |            (164), (165), (168), (169), (170), (197), (202),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |            (211), (212), (218), (219), (220), (221), (222),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |            (223), (229), (232), (233), (238), (239), (260),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |            (271), (373), (3642), (3643), (3644), (3645),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |            (3646), (4510), (4511), (4512), (4515), (4523),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |            (4524), (4525), (4564), (4566), (4700), (4701),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |            (4711), (function-axioms) are inconsistent by
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |            sub-proof #909.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |   (4712)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (4712) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | |   (4713)  all_56_10 = e0 & op(e2, e0) = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | ALPHA: (4713) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | |   (4714)  all_56_10 = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | |   (4715)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4566), (4706), (4715), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1309.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | |   (4716)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4716) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | |   (4717)  all_56_7 = e1 & op(e1, e2) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4717) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | |   (4718)  all_56_7 = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | |   (4719)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4719) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4720)  all_56_6 = e3 & op(e1, e3) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4720) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4721)  all_56_6 = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4722)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4722) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4723)  all_56_0 = e1 & op(e3, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4723) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4724)  op(e3, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4525), (4724), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4725)  all_56_2 = e1 & op(e2, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4725) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4726)  all_56_2 = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4727)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4727) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4728)  all_56_9 = e3 & op(e3, e0) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4728) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4729)  op(e3, e0) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4524), (4729), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4730)  all_56_10 = e3 & op(e2, e0) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4730) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4731)  all_56_10 = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4714), (4731) imply:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4732)  e3 = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4732) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4733)  e3 = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4721), (4733) imply:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4734)  all_56_6 = e0
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (4525), (4700), (4726),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4734), (function-axioms) are inconsistent by
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1014.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4735)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4735) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4736)  all_56_11 = e3 & op(e1, e0) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4736) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4737)  all_56_11 = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4738)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4738) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4739)  all_56_6 = e2 & op(e1, e3) = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4721), (4739) are inconsistent by sub-proof
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1853.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4740)  all_56_7 = e2 & op(e1, e2) = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4718), (4740) are inconsistent by sub-proof
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1906.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4741)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4515), (4737), (4741),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #907.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4742)  all_56_15 = e3 & op(e0, e0) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4742) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4743)  op(e0, e0) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4743), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4744)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4744) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4745)  all_56_6 = e1 & op(e1, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4721), (4745) are inconsistent by sub-proof
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1569.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4746)  all_56_12 = e1 & op(e0, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4746) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4747)  op(e0, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3640), (4747), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4748)  all_56_7 = e3 & op(e1, e2) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4748) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4749)  all_56_7 = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4718), (4749) are inconsistent by sub-proof
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | |            #1907.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | |   (4750)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4750) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4751)  all_56_8 = e3 & op(e1, e1) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4751) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4752)  op(e1, e1) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4515), (4752), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4753)  all_56_11 = e3 & op(e1, e0) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4753) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4754)  all_56_11 = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4755)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4755) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4756)  all_56_6 = e2 & op(e1, e3) = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4756) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4757)  all_56_6 = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4758)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4758) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4759)  all_56_0 = e1 & op(e3, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4759) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4760)  op(e3, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4525), (4760), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4761)  all_56_2 = e1 & op(e2, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4761) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4762)  all_56_2 = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4763)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4763) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4764)  all_56_2 = e2 & op(e2, e3) = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4764) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4765)  all_56_2 = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4758) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4766)  all_56_0 = e1 & op(e3, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4766) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4767)  op(e3, e3) = e1
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4525), (4767), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4762), (4765) are inconsistent by sub-proof
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1855.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4768)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (3640), (4757), (4768),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #906.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4769)  all_56_3 = e2 & op(e2, e2) = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4769) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4770)  op(e2, e2) = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4566), (4770), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4771)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4771) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4772)  all_56_5 = e2 & op(e2, e1) = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4772) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4773)  all_56_5 = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4774)  op(e2, e1) = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4775)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4775) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4776)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4776) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4777)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4777) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4778)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4778) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4779)  op(e1, e1) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4515), (4779), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4780)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4780) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4781)   ~ (all_57_2 = e0)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4782)  op(e0, e3) = all_57_2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (4525), (4757), (4762),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4781), (4782), (function-axioms) are inconsistent
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1088.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4783)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4783) gives:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4784)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_14)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4784) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4785)  op(e2, e2) = e3
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4785), (function-axioms) are
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4786)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4786) implies:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4787)   ~ (all_57_2 = e0)
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4788)  op(e0, e3) = all_57_2
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (4525), (4757), (4762),
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4787), (4788), (function-axioms) are inconsistent
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1088.
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4789)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4789) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4790)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3646), (4515), (4790),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #930.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4791)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (3646), (4525), (4566), (4791),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #921.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4792)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4792) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4793)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4793) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4794)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (4523), (4525), (4794),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1351.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4795)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4795) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4796)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4796) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4797)   ~ (all_57_12 = e1)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4798)  op(e2, e2) = all_57_12
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4799)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4799) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4800)  all_56_2 = e3 & op(e2, e3) = e3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4800) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4801)  all_56_2 = e3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4802)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4802) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4762), (4801) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1859.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4803)  all_56_3 = e1 & op(e2, e2) = e1
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4803) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4804)  op(e2, e2) = e1
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4797), (4798), (4804), (function-axioms) are
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1890.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4805)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (3644), (4773), (4805),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #918.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4806)  all_56_3 = e3 & op(e2, e2) = e3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4806) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4807)  op(e2, e2) = e3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (4807), (function-axioms) are
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4808)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4808) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4809)  all_56_5 = e3 & op(e2, e1) = e3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4809) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4810)  all_56_5 = e3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4773), (4810) imply:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4811)  e3 = e2
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4754), (4811) imply:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4812)  all_56_11 = e2
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (212), (221),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (3646), (4524), (4762), (4810), (4812),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1083.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4813)  all_56_10 = e3 & op(e2, e0) = e3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4714), (4813) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #905.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4814)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4524), (4814), (function-axioms) are
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1963.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4815)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4815) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4816)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4525), (4816), (function-axioms) are
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4817)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4817) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4818)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4818) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4819)  op(e2, e0) = e2
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (4774), (4819),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4820)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (36), (157), (160), (373),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3645), (4511), (4515), (4525), (4820),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #927.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4821)  all_56_10 = e2 & op(e2, e0) = e2
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4821) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4822)  all_56_10 = e2
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4714), (4822) imply:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4823)  e2 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4823) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4824)  e2 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4757), (4824) imply:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4825)  all_56_6 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (4525), (4700), (4762),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4825), (function-axioms) are inconsistent by
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1014.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4826)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (3640), (4757), (4826),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #904.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4827)  all_56_7 = e2 & op(e1, e2) = e2
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4718), (4827) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1906.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (4828)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4515), (4754), (4828),
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | |            #907.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | |   (4829)  all_56_13 = e1 & op(e0, e2) = e1
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4829) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | |   (4830)  op(e0, e2) = e1
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3641), (4830), (function-axioms) are
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | |   (4831)  all_56_11 = e0 & op(e1, e0) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | ALPHA: (4831) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | |   (4832)  op(e1, e0) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4512), (4832), (function-axioms) are
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | |   (4833)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 187.92/28.72  | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | BETA: splitting (4833) gives:
% 187.92/28.72  | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | |   (4834)  all_56_4 = e0 & op(e3, e1) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | ALPHA: (4834) implies:
% 187.92/28.72  | | | | | | | | | | | | | | | | |   (4835)  all_56_4 = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 187.92/28.72  | | | | | | | | | | | | | | | | |            (4515), (4835), (function-axioms) are inconsistent
% 187.92/28.72  | | | | | | | | | | | | | | | | |            by sub-proof #1809.
% 187.92/28.72  | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | |   (4836)  all_56_9 = e0 & op(e3, e0) = e0
% 187.92/28.72  | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (112),
% 187.92/28.72  | | | | | | | | | | | | | | | | |            (113), (117), (120), (123), (134), (157), (160),
% 187.92/28.72  | | | | | | | | | | | | | | | | |            (164), (165), (168), (169), (170), (197), (202),
% 187.92/28.72  | | | | | | | | | | | | | | | | |            (211), (212), (218), (219), (220), (221), (222),
% 187.92/28.72  | | | | | | | | | | | | | | | | |            (223), (229), (232), (233), (238), (239), (260),
% 187.92/28.72  | | | | | | | | | | | | | | | | |            (271), (373), (3642), (3643), (3644), (3645),
% 187.92/28.72  | | | | | | | | | | | | | | | | |            (3646), (4510), (4511), (4512), (4515), (4523),
% 187.92/28.72  | | | | | | | | | | | | | | | | |            (4524), (4525), (4564), (4566), (4700), (4701),
% 187.92/28.72  | | | | | | | | | | | | | | | | |            (4836), (function-axioms) are inconsistent by
% 187.92/28.72  | | | | | | | | | | | | | | | | |            sub-proof #909.
% 187.92/28.72  | | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | |   (4837)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 187.92/28.72  | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (4519), (4837) are
% 187.92/28.72  | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 187.92/28.72  | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | End of split
% 187.92/28.72  | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | |   (4838)  all_26_2 = e1
% 187.92/28.72  | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | COMBINE_EQS: (307), (4838) imply:
% 187.92/28.72  | | | | | | | | | | |   (4839)  all_6_2 = e1
% 187.92/28.72  | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | SIMP: (4839) implies:
% 187.92/28.72  | | | | | | | | | | |   (4840)  all_6_2 = e1
% 187.92/28.72  | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | REDUCE: (344), (4840) imply:
% 187.92/28.72  | | | | | | | | | | |   (4841)   ~ (all_52_4 = e1)
% 187.92/28.72  | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | REDUCE: (346), (4840) imply:
% 187.92/28.72  | | | | | | | | | | |   (4842)   ~ (all_52_8 = e1)
% 187.92/28.72  | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | REDUCE: (377), (4840) imply:
% 187.92/28.72  | | | | | | | | | | |   (4843)   ~ (e2 = e1)
% 187.92/28.72  | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | REDUCE: (39), (4840) imply:
% 187.92/28.72  | | | | | | | | | | |   (4844)  op(e3, e3) = e1
% 187.92/28.72  | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | BETA: splitting (226) gives:
% 187.92/28.72  | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | Case 1:
% 187.92/28.72  | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | |   (4845)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 187.92/28.72  | | | | | | | | | | | |             & op(e2, e2) = e1)
% 187.92/28.72  | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | | REF_CLOSE: (36), (170), (4517), (4841), (4845),
% 187.92/28.72  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.72  | | | | | | | | | | | |            #1531.
% 187.92/28.72  | | | | | | | | | | | | 
% 187.92/28.72  | | | | | | | | | | | Case 2:
% 187.92/28.72  | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | |   (4846)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 187.92/28.73  | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 187.92/28.73  | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | BETA: splitting (4846) gives:
% 187.92/28.73  | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | |   (4847)  all_56_7 = e1 & op(e1, e2) = e1
% 187.92/28.73  | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | ALPHA: (4847) implies:
% 187.92/28.73  | | | | | | | | | | | | |   (4848)  all_56_7 = e1
% 187.92/28.73  | | | | | | | | | | | | |   (4849)  op(e1, e2) = e1
% 187.92/28.73  | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | BETA: splitting (218) gives:
% 187.92/28.73  | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | |   (4850)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 187.92/28.73  | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 187.92/28.73  | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | BETA: splitting (4850) gives:
% 187.92/28.73  | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | |   (4851)  all_56_4 = e1 & op(e3, e1) = e1
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | ALPHA: (4851) implies:
% 187.92/28.73  | | | | | | | | | | | | | | |   (4852)  op(e3, e1) = e1
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | REF_CLOSE: (169), (4842), (4852), (function-axioms) are
% 187.92/28.73  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | Case 2:
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | |   (4853)  all_56_5 = e1 & op(e2, e1) = e1
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | ALPHA: (4853) implies:
% 187.92/28.73  | | | | | | | | | | | | | | |   (4854)  all_56_5 = e1
% 187.92/28.73  | | | | | | | | | | | | | | |   (4855)  op(e2, e1) = e1
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 187.92/28.73  | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (4849) gives:
% 187.92/28.73  | | | | | | | | | | | | | | |   (4856)  all_52_6 = e1
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 187.92/28.73  | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (4855) gives:
% 187.92/28.73  | | | | | | | | | | | | | | |   (4857)  all_52_9 = e1
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | REDUCE: (126), (4856) imply:
% 187.92/28.73  | | | | | | | | | | | | | | |   (4858)   ~ (all_52_14 = e1)
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | REDUCE: (118), (4857) imply:
% 187.92/28.73  | | | | | | | | | | | | | | |   (4859)   ~ (all_52_11 = e1)
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | REDUCE: (358), (4857) imply:
% 187.92/28.73  | | | | | | | | | | | | | | |   (4860)   ~ (all_4_2 = e1)
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | |   (4861)   ~ (all_32_2 = e0)
% 187.92/28.73  | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | REDUCE: (314), (4861) imply:
% 187.92/28.73  | | | | | | | | | | | | | | | |   (4862)   ~ (all_4_2 = e0)
% 187.92/28.73  | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | |   (4863)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.92/28.73  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.92/28.73  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.92/28.73  | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.92/28.73  | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | BETA: splitting (4863) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | |   (4864)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | BETA: splitting (4864) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |   (4865)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (4844), (4865),
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |            #1893.
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |   (4866)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (4866) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |   (4867)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | ALPHA: (4867) implies:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |   (4868)  op(e3, e1) = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |   (4869)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | |   (4870)  all_54_5 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (4870) are inconsistent by sub-proof
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | |            #1948.
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | |   (4871)   ~ (all_54_5 = e3)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | |   (4872)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4872) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | |   (4873)  all_54_5 = e2
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4873) imply:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | |   (4874)  all_4_2 = e2
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | SIMP: (4874) implies:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | |   (4875)  all_4_2 = e2
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4875) imply:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | |   (4876)   ~ (all_52_13 = e2)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4875) imply:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | |   (4877)  op(e2, e2) = e2
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |   (4878)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4878) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (4879)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (36), (373), (3646), (4515), (4879),
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |            #931.
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (4880)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (4844), (4849), (4877), (4880),
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |            #902.
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |   (4881)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4881) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (4882)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4882) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (4883)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4844), (4869), (4883), (function-axioms) are
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #901.
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (4884)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4884) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4885)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4885) implies:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4886)  all_57_7 = e2
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4887)   ~ (all_57_12 = e1)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4869), (4886), (4887) are inconsistent by
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1892.
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4888)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (4868), (4888),
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            #900.
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (4889)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4889) gives:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (4890)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4844), (4890), (function-axioms) are
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (4891)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4891) gives:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4892)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4892) implies:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4893)  op(e2, e0) = e2
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4876), (4893), (function-axioms) are
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4894)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4894) gives:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4895)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4895) implies:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4896)  op(e1, e0) = e1
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4896), (function-axioms) are
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4897)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4897) implies:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4898)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (36), (157), (373), (4511), (4515),
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4844), (4877), (4898), (function-axioms) are
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | |   (4899)  all_54_5 = e1 | all_54_5 = e0
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (4517), (4862), (4899) are inconsistent by
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1941.
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | |   (4900)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | ALPHA: (4900) implies:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | |   (4901)  op(e3, e1) = e1
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4842), (4901), (function-axioms) are
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | End of split
% 187.92/28.74  | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | Case 2:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | |   (4902)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 187.92/28.74  | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 187.92/28.74  | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 187.92/28.74  | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 187.92/28.74  | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 187.92/28.74  | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | BETA: splitting (4902) gives:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | 
% 187.92/28.74  | | | | | | | | | | | | | | | | | | Case 1:
% 187.92/28.74  | | | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |   (4903)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.12/28.74  | | | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (4844), (4903),
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |            #933.
% 188.12/28.74  | | | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | | | Case 2:
% 188.12/28.74  | | | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |   (4904)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.12/28.74  | | | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (4515), (4517), (4904),
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.12/28.74  | | | | | | | | | | | | | | | | | | |            #1516.
% 188.12/28.74  | | | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | | | End of split
% 188.12/28.74  | | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | | End of split
% 188.12/28.74  | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | Case 2:
% 188.12/28.74  | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | |   (4905)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.12/28.74  | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.12/28.74  | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.12/28.74  | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.12/28.74  | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.12/28.74  | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.12/28.74  | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.12/28.74  | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.12/28.74  | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.12/28.74  | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.12/28.74  | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.12/28.74  | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.12/28.74  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.12/28.74  | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | | BETA: splitting (4905) gives:
% 188.12/28.74  | | | | | | | | | | | | | | | | | 
% 188.12/28.74  | | | | | | | | | | | | | | | | | Case 1:
% 188.12/28.74  | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | |   (4906)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.77  | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.29/28.77  | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.77  | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.77  | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | BETA: splitting (4906) gives:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |   (4907)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (4907) gives:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |   (4908)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | ALPHA: (4908) implies:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |   (4909)  op(e2, e2) = e0
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (112), (117),
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |            (139), (157), (159), (160), (164), (165), (168),
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |            (206), (219), (220), (227), (228), (230), (234),
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |            (238), (239), (373), (3642), (3643), (3645),
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |            (3646), (4511), (4515), (4844), (4848), (4854),
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |            (4909), (function-axioms) are inconsistent by
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |            sub-proof #895.
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |   (4910)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | ALPHA: (4910) implies:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |   (4911)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4515), (4849), (4911), (function-axioms) are
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1513.
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |   (4912)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (3642), (4512), (4912),
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |            #1883.
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | |   (4913)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.77  | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.77  | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.77  | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.77  | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.77  | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | BETA: splitting (4913) gives:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |   (4914)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (4515), (4844), (4849), (4914),
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |            #1478.
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |   (4915)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4515), (4915), (function-axioms) are
% 188.29/28.77  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #915.
% 188.29/28.77  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | Case 2:
% 188.29/28.77  | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | |   (4916)  all_32_2 = e0
% 188.29/28.77  | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (4916) imply:
% 188.29/28.77  | | | | | | | | | | | | | | | |   (4917)  all_4_2 = e0
% 188.29/28.77  | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | SIMP: (4917) implies:
% 188.29/28.77  | | | | | | | | | | | | | | | |   (4918)  all_4_2 = e0
% 188.29/28.77  | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | REDUCE: (4517), (4918) imply:
% 188.29/28.77  | | | | | | | | | | | | | | | |   (4919)   ~ (e1 = e0)
% 188.29/28.77  | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | REDUCE: (36), (4918) imply:
% 188.29/28.77  | | | | | | | | | | | | | | | |   (4920)  op(e2, e2) = e0
% 188.29/28.77  | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (112), (117),
% 188.29/28.77  | | | | | | | | | | | | | | | |            (139), (157), (159), (160), (164), (165), (168),
% 188.29/28.77  | | | | | | | | | | | | | | | |            (206), (219), (220), (227), (228), (230), (234),
% 188.29/28.77  | | | | | | | | | | | | | | | |            (238), (239), (373), (3642), (3643), (3645),
% 188.29/28.77  | | | | | | | | | | | | | | | |            (3646), (4511), (4515), (4844), (4848), (4854),
% 188.29/28.77  | | | | | | | | | | | | | | | |            (4920), (function-axioms) are inconsistent by
% 188.29/28.77  | | | | | | | | | | | | | | | |            sub-proof #895.
% 188.29/28.77  | | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | Case 2:
% 188.29/28.77  | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | |   (4921)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.29/28.77  | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.29/28.77  | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (3642), (4515), (4921),
% 188.29/28.77  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.77  | | | | | | | | | | | | | |            #914.
% 188.29/28.77  | | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | Case 2:
% 188.29/28.77  | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | |   (4922)  all_56_13 = e1 & op(e0, e2) = e1
% 188.29/28.77  | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | ALPHA: (4922) implies:
% 188.29/28.77  | | | | | | | | | | | | |   (4923)  op(e0, e2) = e1
% 188.29/28.77  | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | | REF_CLOSE: (158), (3641), (4923), (function-axioms) are
% 188.29/28.77  | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 188.29/28.77  | | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | End of split
% 188.29/28.77  | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | Case 2:
% 188.29/28.77  | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | |   (4924)  all_24_2 = e1
% 188.29/28.77  | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | COMBINE_EQS: (318), (4924) imply:
% 188.29/28.77  | | | | | | | | | |   (4925)  all_4_2 = e1
% 188.29/28.77  | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | REDUCE: (354), (4925) imply:
% 188.29/28.77  | | | | | | | | | |   (4926)   ~ (all_52_6 = e1)
% 188.29/28.77  | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | REDUCE: (358), (4925) imply:
% 188.29/28.77  | | | | | | | | | |   (4927)   ~ (all_52_9 = e1)
% 188.29/28.77  | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | REDUCE: (373), (4925) imply:
% 188.29/28.77  | | | | | | | | | |   (4928)   ~ (e3 = e1)
% 188.29/28.77  | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | REDUCE: (36), (4925) imply:
% 188.29/28.77  | | | | | | | | | |   (4929)  op(e2, e2) = e1
% 188.29/28.77  | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | BETA: splitting (214) gives:
% 188.29/28.77  | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | Case 1:
% 188.29/28.77  | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | |   (4930)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.29/28.77  | | | | | | | | | | |             & op(e1, e2) = e1)
% 188.29/28.77  | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | BETA: splitting (4930) gives:
% 188.29/28.77  | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | Case 1:
% 188.29/28.77  | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | |   (4931)  all_56_6 = e1 & op(e1, e3) = e1
% 188.29/28.77  | | | | | | | | | | | | 
% 188.29/28.77  | | | | | | | | | | | | ALPHA: (4931) implies:
% 188.29/28.78  | | | | | | | | | | | |   (4932)  op(e1, e3) = e1
% 188.29/28.78  | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.29/28.78  | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | |   (4933)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.29/28.78  | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.29/28.78  | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | BETA: splitting (4933) gives:
% 188.29/28.78  | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | |   (4934)  all_56_4 = e1 & op(e3, e1) = e1
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | ALPHA: (4934) implies:
% 188.29/28.78  | | | | | | | | | | | | | |   (4935)  op(e3, e1) = e1
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 188.29/28.78  | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (4932) gives:
% 188.29/28.78  | | | | | | | | | | | | | |   (4936)  all_52_2 = e1
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 188.29/28.78  | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (4935) gives:
% 188.29/28.78  | | | | | | | | | | | | | |   (4937)  all_52_8 = e1
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | REDUCE: (143), (4936) imply:
% 188.29/28.78  | | | | | | | | | | | | | |   (4938)   ~ (all_52_6 = e1)
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | REDUCE: (141), (4936) imply:
% 188.29/28.78  | | | | | | | | | | | | | |   (4939)   ~ (all_52_14 = e1)
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | REDUCE: (121), (4937) imply:
% 188.29/28.78  | | | | | | | | | | | | | |   (4940)   ~ (all_52_11 = e1)
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | REDUCE: (346), (4937) imply:
% 188.29/28.78  | | | | | | | | | | | | | |   (4941)   ~ (all_6_2 = e1)
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | SIMP: (4941) implies:
% 188.29/28.78  | | | | | | | | | | | | | |   (4942)   ~ (all_6_2 = e1)
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.29/28.78  | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | |   (4943)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.78  | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.78  | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.78  | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.29/28.78  | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.29/28.78  | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78  | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.78  | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78  | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.78  | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78  | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.29/28.78  | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78  | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.78  | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.78  | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.78  | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.78  | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.78  | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.78  | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.29/28.78  | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78  | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.78  | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78  | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.78  | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.78  | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.78  | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | BETA: splitting (4943) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | |   (4944)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.78  | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.78  | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.78  | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.29/28.78  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78  | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.78  | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78  | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.78  | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78  | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78  | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.29/28.78  | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | BETA: splitting (4944) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | |   (4945)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.78  | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | BETA: splitting (4945) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4946)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | ALPHA: (4946) implies:
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4947)  op(e3, e3) = e2
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |   (4948)  all_54_0 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4948) imply:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |   (4949)  all_6_2 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | SIMP: (4949) implies:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |   (4950)  all_6_2 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4950) imply:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |   (4951)  op(e3, e3) = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4947), (4951), (function-axioms) are
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |   (4952)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (4942), (4952) are
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4953)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 188.29/28.78  | | | | | | | | | | | | | | | | | |             e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | ALPHA: (4953) implies:
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4954)  op(e2, e2) = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4929), (4954), (function-axioms) are
% 188.29/28.78  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | |   (4955)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78  | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | BETA: splitting (4955) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4956)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | ALPHA: (4956) implies:
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4957)  op(e3, e3) = e1
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (4942), (4957),
% 188.29/28.78  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.78  | | | | | | | | | | | | | | | | | |            #1052.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4958)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | ALPHA: (4958) implies:
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4959)  op(e1, e1) = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4515), (4959), (function-axioms) are
% 188.29/28.78  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | End of split
% 188.29/28.78  | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | |   (4960)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.78  | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.78  | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.78  | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.78  | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.29/28.78  | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78  | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.78  | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78  | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.78  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.78  | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.78  | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | BETA: splitting (4960) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | |   (4961)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.78  | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | BETA: splitting (4961) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4962)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | ALPHA: (4962) implies:
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4963)  op(e3, e3) = e0
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (4942), (4963),
% 188.29/28.78  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.78  | | | | | | | | | | | | | | | | | |            #1051.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4964)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | | | |             e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               all_57_1 & $i(all_57_1)))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | ALPHA: (4964) implies:
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4965)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4515), (4932), (4965), (function-axioms) are
% 188.29/28.78  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1325.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | |   (4966)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.78  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.78  | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.78  | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | BETA: splitting (4966) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4967)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | ALPHA: (4967) implies:
% 188.29/28.78  | | | | | | | | | | | | | | | | | |   (4968)  op(e2, e1) = e2
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |   (4969)  all_54_0 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4969) imply:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |   (4970)  all_6_2 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | SIMP: (4970) implies:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |   (4971)  all_6_2 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | REDUCE: (348), (4971) imply:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |   (4972)   ~ (all_52_12 = e3)
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4971) imply:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | |   (4973)  op(e3, e3) = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |   (4974)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4974) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |   (4975)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4975) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |   (4976)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4932), (4976), (function-axioms) are
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #894.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |   (4977)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (4929), (4977), (function-axioms) are
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #938.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |   (4978)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4978) gives:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |   (4979)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3646), (4515), (4979),
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |            #930.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |   (4980)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (4926), (4935), (4980),
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | |            #1140.
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.78  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |   (4981)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4981) gives:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |   (4982)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4982) gives:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |   (4983)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4935), (4973), (4983), (function-axioms) are
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #893.
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |   (4984)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4929), (4972), (4984), (function-axioms)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1350.
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |   (4985)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4985) gives:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |   (4986)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4973), (4986), (function-axioms) are
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |   (4987)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4987) gives:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |   (4988)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4988) implies:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |   (4989)  op(e2, e0) = e2
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (4968), (4989),
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |   (4990)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4990) gives:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |   (4991)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4991) implies:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |   (4992)  op(e1, e0) = e1
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (4992), (function-axioms) are
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |   (4993)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4993) implies:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |   (4994)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (157), (4511), (4515), (4929),
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |            (4973), (4994), (function-axioms) are inconsistent
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1633.
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | |   (4995)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (4942), (4995) are
% 188.29/28.79  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 188.29/28.79  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | |   (4996)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | ALPHA: (4996) implies:
% 188.29/28.79  | | | | | | | | | | | | | | | | | |   (4997)  op(e1, e2) = e1
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4926), (4997), (function-axioms) are
% 188.29/28.79  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | |   (4998)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79  | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79  | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.79  | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.79  | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.29/28.79  | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79  | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79  | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.79  | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.79  | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.79  | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.79  | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.79  | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.29/28.79  | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.79  | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.79  | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.79  | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.79  | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.79  | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.79  | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.79  | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.79  | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.79  | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.79  | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.79  | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.79  | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.79  | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.79  | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.79  | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.79  | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.79  | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | BETA: splitting (4998) gives:
% 188.29/28.79  | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79  | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | |   (4999)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79  | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79  | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.79  | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.79  | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.29/28.79  | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79  | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79  | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.79  | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.79  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.79  | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.79  | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.79  | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.79  | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | BETA: splitting (4999) gives:
% 188.29/28.79  | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | |   (5000)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.79  | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3646), (4929), (5000),
% 188.29/28.79  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.79  | | | | | | | | | | | | | | | | |            #936.
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | |   (5001)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.79  | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.79  | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.79  | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (3642), (4512), (5001),
% 188.29/28.79  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.79  | | | | | | | | | | | | | | | | |            #1883.
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | |   (5002)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.79  | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.79  | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.79  | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.79  | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.79  | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.79  | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.79  | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.79  | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.79  | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.79  | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.79  | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.79  | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.79  | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.79  | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.79  | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.79  | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.79  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.79  | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | BETA: splitting (5002) gives:
% 188.29/28.79  | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | |   (5003)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.79  | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.79  | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.79  | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.79  | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | BETA: splitting (5003) gives:
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | |   (5004)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | ALPHA: (5004) implies:
% 188.29/28.79  | | | | | | | | | | | | | | | | | |   (5005)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4515), (4932), (5005), (function-axioms) are
% 188.29/28.79  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1325.
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | |   (5006)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.79  | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.29/28.79  | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | ALPHA: (5006) implies:
% 188.29/28.79  | | | | | | | | | | | | | | | | | |   (5007)  op(e2, e2) = e2
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4929), (5007), (function-axioms) are
% 188.29/28.79  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 188.29/28.79  | | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | | End of split
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.79  | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.79  | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | |   (5008)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.80  | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (4515), (5008), (function-axioms) are
% 188.29/28.80  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #915.
% 188.29/28.80  | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | |   (5009)  all_56_5 = e1 & op(e2, e1) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | ALPHA: (5009) implies:
% 188.29/28.80  | | | | | | | | | | | | | |   (5010)  op(e2, e1) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | REF_CLOSE: (165), (4927), (5010), (function-axioms) are
% 188.29/28.80  | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | |   (5011)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.29/28.80  | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | BETA: splitting (5011) gives:
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | |   (5012)  all_56_8 = e1 & op(e1, e1) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | ALPHA: (5012) implies:
% 188.29/28.80  | | | | | | | | | | | | | |   (5013)  op(e1, e1) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | REF_CLOSE: (4), (4515), (5013), (function-axioms) are
% 188.29/28.80  | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | |   (5014)  all_56_14 = e1 & op(e0, e1) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | ALPHA: (5014) implies:
% 188.29/28.80  | | | | | | | | | | | | | |   (5015)  op(e0, e1) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.29/28.80  | | | | | | | | | | | | | |              e1, e1, e0, simplifying with (157), (5015) gives:
% 188.29/28.80  | | | | | | | | | | | | | |   (5016)  all_52_11 = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | REDUCE: (3642), (5016) imply:
% 188.29/28.80  | | | | | | | | | | | | | |   (5017)  $false
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | CLOSE: (5017) is inconsistent.
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | |   (5018)  all_56_7 = e1 & op(e1, e2) = e1
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | ALPHA: (5018) implies:
% 188.29/28.80  | | | | | | | | | | | |   (5019)  op(e1, e2) = e1
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | REF_CLOSE: (162), (4926), (5019), (function-axioms) are
% 188.29/28.80  | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | |   (5020)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.29/28.80  | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | REF_CLOSE: (4), (160), (3645), (4515), (5020),
% 188.29/28.80  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.80  | | | | | | | | | | |            #1528.
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | 
% 188.29/28.80  | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | |   (5021)  all_20_2 = e3
% 188.29/28.80  | | | | | | | |   (5022)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 188.29/28.80  | | | | | | | |             op(e1, e3) = all_20_1 & $i(all_20_0) & $i(all_20_1))
% 188.29/28.80  | | | | | | | |           | ( ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 188.29/28.80  | | | | | | | |             $i(all_20_1))
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | COMBINE_EQS: (325), (5021) imply:
% 188.29/28.80  | | | | | | | |   (5023)  all_10_2 = e3
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | SIMP: (5023) implies:
% 188.29/28.80  | | | | | | | |   (5024)  all_10_2 = e3
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | COMBINE_EQS: (331), (5024) imply:
% 188.29/28.80  | | | | | | | |   (5025)  all_30_2 = e3
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | REDUCE: (350), (5024) imply:
% 188.29/28.80  | | | | | | | |   (5026)   ~ (all_52_2 = e3)
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | REDUCE: (363), (5024) imply:
% 188.29/28.80  | | | | | | | |   (5027)   ~ (all_52_8 = e3)
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | REDUCE: (364), (5024) imply:
% 188.29/28.80  | | | | | | | |   (5028)   ~ (all_52_9 = e3)
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | REDUCE: (366), (5024) imply:
% 188.29/28.80  | | | | | | | |   (5029)   ~ (all_52_11 = e3)
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | REDUCE: (368), (5024) imply:
% 188.29/28.80  | | | | | | | |   (5030)   ~ (all_52_14 = e3)
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | REDUCE: (45), (5024) imply:
% 188.29/28.80  | | | | | | | |   (5031)  op(e1, e1) = e3
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | BETA: splitting (67) gives:
% 188.29/28.80  | | | | | | | | 
% 188.29/28.80  | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | 
% 188.29/28.80  | | | | | | | | |   (5032)   ~ (all_24_2 = e1)
% 188.29/28.80  | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | REDUCE: (318), (5032) imply:
% 188.29/28.80  | | | | | | | | |   (5033)   ~ (all_4_2 = e1)
% 188.29/28.80  | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | BETA: splitting (70) gives:
% 188.29/28.80  | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | |   (5034)   ~ (all_26_2 = e1)
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | REDUCE: (307), (5034) imply:
% 188.29/28.80  | | | | | | | | | |   (5035)   ~ (all_6_2 = e1)
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | BETA: splitting (204) gives:
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | |   (5036)  all_54_0 = e3
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | COMBINE_EQS: (279), (5036) imply:
% 188.29/28.80  | | | | | | | | | | |   (5037)  all_6_2 = e3
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | SIMP: (5037) implies:
% 188.29/28.80  | | | | | | | | | | |   (5038)  all_6_2 = e3
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | REDUCE: (342), (5038) imply:
% 188.29/28.80  | | | | | | | | | | |   (5039)   ~ (all_52_3 = e3)
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | REDUCE: (344), (5038) imply:
% 188.29/28.80  | | | | | | | | | | |   (5040)   ~ (all_52_4 = e3)
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | REDUCE: (348), (5038) imply:
% 188.29/28.80  | | | | | | | | | | |   (5041)   ~ (all_52_12 = e3)
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | REDUCE: (39), (5038) imply:
% 188.29/28.80  | | | | | | | | | | |   (5042)  op(e3, e3) = e3
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 188.29/28.80  | | | | | | | | | | |            (112), (117), (120), (121), (123), (133), (134),
% 188.29/28.80  | | | | | | | | | | |            (139), (146), (157), (158), (159), (160), (164),
% 188.29/28.80  | | | | | | | | | | |            (165), (167), (168), (169), (170), (198), (199),
% 188.29/28.80  | | | | | | | | | | |            (201), (202), (203), (206), (208), (209), (212),
% 188.29/28.80  | | | | | | | | | | |            (213), (214), (215), (217), (218), (219), (221),
% 188.29/28.80  | | | | | | | | | | |            (222), (223), (224), (225), (226), (227), (228),
% 188.29/28.80  | | | | | | | | | | |            (230), (231), (232), (234), (238), (239), (261),
% 188.29/28.80  | | | | | | | | | | |            (268), (270), (271), (272), (309), (314), (349),
% 188.29/28.80  | | | | | | | | | | |            (352), (358), (373), (3640), (3641), (3642),
% 188.29/28.80  | | | | | | | | | | |            (3643), (3644), (3645), (3646), (3649), (5027),
% 188.29/28.80  | | | | | | | | | | |            (5028), (5031), (5033), (5039), (5040), (5041),
% 188.29/28.80  | | | | | | | | | | |            (5042), (function-axioms) are inconsistent by
% 188.29/28.80  | | | | | | | | | | |            sub-proof #859.
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | |   (5043)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (5035), (5043) are
% 188.29/28.80  | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | |   (5044)  all_26_2 = e1
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | COMBINE_EQS: (307), (5044) imply:
% 188.29/28.80  | | | | | | | | | |   (5045)  all_6_2 = e1
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | SIMP: (5045) implies:
% 188.29/28.80  | | | | | | | | | |   (5046)  all_6_2 = e1
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | REDUCE: (338), (5046) imply:
% 188.29/28.80  | | | | | | | | | |   (5047)   ~ (all_52_1 = e1)
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | REDUCE: (340), (5046) imply:
% 188.29/28.80  | | | | | | | | | |   (5048)   ~ (all_52_2 = e1)
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | REDUCE: (344), (5046) imply:
% 188.29/28.80  | | | | | | | | | |   (5049)   ~ (all_52_4 = e1)
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | REDUCE: (346), (5046) imply:
% 188.29/28.80  | | | | | | | | | |   (5050)   ~ (all_52_8 = e1)
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | REDUCE: (377), (5046) imply:
% 188.29/28.80  | | | | | | | | | |   (5051)   ~ (e2 = e1)
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | REDUCE: (39), (5046) imply:
% 188.29/28.80  | | | | | | | | | |   (5052)  op(e3, e3) = e1
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | BETA: splitting (214) gives:
% 188.29/28.80  | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | |   (5053)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.29/28.80  | | | | | | | | | | |             & op(e1, e2) = e1)
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | BETA: splitting (5053) gives:
% 188.29/28.80  | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | |   (5054)  all_56_6 = e1 & op(e1, e3) = e1
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | ALPHA: (5054) implies:
% 188.29/28.80  | | | | | | | | | | | |   (5055)  all_56_6 = e1
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | BETA: splitting (226) gives:
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | |   (5056)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 188.29/28.80  | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | REF_CLOSE: (36), (170), (5033), (5049), (5056),
% 188.29/28.80  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.80  | | | | | | | | | | | | |            #1531.
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | |   (5057)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 188.29/28.80  | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | BETA: splitting (5057) gives:
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | |   (5058)  all_56_7 = e1 & op(e1, e2) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | ALPHA: (5058) implies:
% 188.29/28.80  | | | | | | | | | | | | | |   (5059)  all_56_7 = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (215), (216),
% 188.29/28.80  | | | | | | | | | | | | | |            (5031), (5055), (5059), (function-axioms) are
% 188.29/28.80  | | | | | | | | | | | | | |            inconsistent by sub-proof #858.
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | |   (5060)  all_56_13 = e1 & op(e0, e2) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | ALPHA: (5060) implies:
% 188.29/28.80  | | | | | | | | | | | | | |   (5061)  op(e0, e2) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | REF_CLOSE: (158), (3641), (5061), (function-axioms) are
% 188.29/28.80  | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | |   (5062)  all_56_7 = e1 & op(e1, e2) = e1
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | ALPHA: (5062) implies:
% 188.29/28.80  | | | | | | | | | | | |   (5063)  all_56_7 = e1
% 188.29/28.80  | | | | | | | | | | | |   (5064)  op(e1, e2) = e1
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.29/28.80  | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | |   (5065)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.29/28.80  | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | BETA: splitting (5065) gives:
% 188.29/28.80  | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | |   (5066)  all_56_4 = e1 & op(e3, e1) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | ALPHA: (5066) implies:
% 188.29/28.80  | | | | | | | | | | | | | |   (5067)  op(e3, e1) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | REF_CLOSE: (169), (5050), (5067), (function-axioms) are
% 188.29/28.80  | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | |   (5068)  all_56_5 = e1 & op(e2, e1) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | ALPHA: (5068) implies:
% 188.29/28.80  | | | | | | | | | | | | | |   (5069)  all_56_5 = e1
% 188.29/28.80  | | | | | | | | | | | | | |   (5070)  op(e2, e1) = e1
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 188.29/28.80  | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | |   (5071)   ~ (all_32_2 = e0)
% 188.29/28.80  | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | REDUCE: (314), (5071) imply:
% 188.29/28.80  | | | | | | | | | | | | | | |   (5072)   ~ (all_4_2 = e0)
% 188.29/28.80  | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.29/28.80  | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | |   (5073)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.80  | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.29/28.80  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80  | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.29/28.80  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.80  | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.80  | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80  | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.80  | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.80  | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | BETA: splitting (5073) gives:
% 188.29/28.80  | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | |   (5074)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.29/28.80  | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (169), (373), (5027), (5050), (5052),
% 188.29/28.80  | | | | | | | | | | | | | | | | |            (5074), (function-axioms) are inconsistent by
% 188.29/28.80  | | | | | | | | | | | | | | | | |            sub-proof #857.
% 188.29/28.80  | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | |   (5075)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.80  | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.80  | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | BETA: splitting (5075) gives:
% 188.29/28.80  | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | |   (5076)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.29/28.80  | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (5052), (5076),
% 188.29/28.80  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.80  | | | | | | | | | | | | | | | | | |            #933.
% 188.29/28.80  | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | |   (5077)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.29/28.80  | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.29/28.80  | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | BETA: splitting (5077) gives:
% 188.29/28.80  | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |   (5078)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | ALPHA: (5078) implies:
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |   (5079)  op(e2, e2) = e1
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (5033), (5079), (function-axioms) are
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |   (5080)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | ALPHA: (5080) implies:
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |   (5081)  op(e1, e1) = e2
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5081), (function-axioms) are
% 188.29/28.80  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 188.29/28.80  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | | End of split
% 188.29/28.80  | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | Case 2:
% 188.29/28.80  | | | | | | | | | | | | | | | | 
% 188.29/28.80  | | | | | | | | | | | | | | | |   (5082)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.80  | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.80  | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.80  | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.80  | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.80  | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.80  | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.29/28.80  | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.80  | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.80  | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.80  | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.80  | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.80  | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.80  | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.81  | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.81  | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.81  | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.81  | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.81  | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.81  | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.81  | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.81  | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.81  | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.81  | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.81  | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.81  | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.81  | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.81  | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.81  | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.81  | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.81  | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.81  | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.81  | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.81  | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.81  | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.81  | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.81  | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | BETA: splitting (5082) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | |   (5083)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81  | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.81  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.81  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.81  | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.29/28.81  | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81  | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.81  | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.81  | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.81  | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.81  | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.81  | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | BETA: splitting (5083) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | |   (5084)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | BETA: splitting (5084) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |   (5085)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | ALPHA: (5085) implies:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |   (5086)  op(e2, e2) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (199), (268), (373), (5033), (5072), (5086),
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |            #1220.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |   (5087)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | ALPHA: (5087) implies:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |   (5088)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5064), (5088), (function-axioms) are
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #879.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.81  | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | |   (5089)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | BETA: splitting (5089) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |   (5090)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | ALPHA: (5090) implies:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |   (5091)  op(e0, e1) = e1
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3642), (5091), (function-axioms) are
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1885.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |   (5092)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | ALPHA: (5092) implies:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |   (5093)  all_57_15 = e1
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |   (5094)  op(e0, e1) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |   (5095)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 188.29/28.81  | | | | | | | | | | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | |   (5096)  all_54_5 = e3
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (5096) are inconsistent by sub-proof
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | |            #1948.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | |   (5097)   ~ (all_54_5 = e3)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | |   (5098)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5098) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | |   (5099)  all_54_5 = e2
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5099) imply:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | |   (5100)  all_4_2 = e2
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | SIMP: (5100) implies:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | |   (5101)  all_4_2 = e2
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (5101) imply:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | |   (5102)   ~ (all_52_1 = e2)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (5101) imply:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | |   (5103)   ~ (all_52_13 = e2)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (5101) imply:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | |   (5104)  op(e2, e2) = e2
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |   (5105)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5105) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |   (5106)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5106) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5107)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5102), (5107), (function-axioms) are
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5108)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (3646), (5108),
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |            #980.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |   (5109)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3646), (5052), (5064), (5104), (5109),
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |            #902.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |   (5110)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |   (5111)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5111) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5112)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5052), (5095), (5112), (function-axioms) are
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #901.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5113)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5113) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (5114)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5114) implies:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (5115)  all_57_7 = e2
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (5116)   ~ (all_57_12 = e1)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5095), (5115), (5116) are inconsistent by
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1892.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (5117)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5031), (5104), (5117),
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |            #856.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |   (5118)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5118) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5119)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5052), (5119), (function-axioms) are
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5120)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5120) gives:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (5121)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5121) implies:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (5122)  op(e2, e0) = e2
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5103), (5122), (function-axioms) are
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (5123)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.29/28.81  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5123) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5124)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5124) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5125)  op(e1, e0) = e1
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (5125), (function-axioms) are
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5126)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5126) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5127)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5127) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5128)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5128) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5129)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5129) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5130)  op(e2, e2) = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (5130), (function-axioms) are
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5131)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5131) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5132)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_1)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5132) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5133)  op(e0, e3) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (5094), (5133),
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1671.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5134)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5134) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5135)  op(e3, e3) = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5052), (5135), (function-axioms) are
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5136)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5136) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5137)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5137) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5138)   ~ (all_57_4 = e1)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5139)  op(e1, e2) = all_57_4
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5064), (5138), (5139), (function-axioms) are
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1303.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5140)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5140) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5141)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5141) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5142)   ~ (all_57_15 = e1)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5093), (5142) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5143)  $false
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5143) is inconsistent.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5144)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5144) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5145)  op(e2, e2) = e1
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5104), (5145), (function-axioms) are
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | |   (5146)  all_54_5 = e1 | all_54_5 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (5033), (5072), (5146) are inconsistent by
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1941.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | |   (5147)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.29/28.82  | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.29/28.82  | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.29/28.82  | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.29/28.82  | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.29/28.82  | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.29/28.82  | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.29/28.82  | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.29/28.82  | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.29/28.82  | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.29/28.82  | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (3646), (5031), (5052), (5064),
% 188.29/28.82  | | | | | | | | | | | | | | | | |            (5147), (function-axioms) are inconsistent by
% 188.29/28.82  | | | | | | | | | | | | | | | | |            sub-proof #855.
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | End of split
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | |   (5148)  all_32_2 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | COMBINE_EQS: (314), (5148) imply:
% 188.29/28.82  | | | | | | | | | | | | | | |   (5149)  all_4_2 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | COMBINE_EQS: (309), (5149) imply:
% 188.29/28.82  | | | | | | | | | | | | | | |   (5150)  all_36_2 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | REDUCE: (349), (5149) imply:
% 188.29/28.82  | | | | | | | | | | | | | | |   (5151)   ~ (all_52_1 = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | REDUCE: (352), (5149) imply:
% 188.29/28.82  | | | | | | | | | | | | | | |   (5152)   ~ (all_52_4 = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | REDUCE: (356), (5149) imply:
% 188.29/28.82  | | | | | | | | | | | | | | |   (5153)   ~ (all_52_7 = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | REDUCE: (360), (5149) imply:
% 188.29/28.82  | | | | | | | | | | | | | | |   (5154)   ~ (all_52_13 = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | REDUCE: (373), (5149) imply:
% 188.29/28.82  | | | | | | | | | | | | | | |   (5155)   ~ (e3 = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | REDUCE: (5033), (5149) imply:
% 188.29/28.82  | | | | | | | | | | | | | | |   (5156)   ~ (e1 = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | REDUCE: (36), (5149) imply:
% 188.29/28.82  | | | | | | | | | | | | | | |   (5157)  op(e2, e2) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | |   (5158)  all_54_11 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | REF_CLOSE: (250), (5030), (5158) are inconsistent by
% 188.29/28.82  | | | | | | | | | | | | | | | |            sub-proof #1277.
% 188.29/28.82  | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | |   (5159)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | |   (5160)  all_54_14 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5160) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | |   (5161)  all_52_11 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | REDUCE: (5029), (5161) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | |   (5162)  $false
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | CLOSE: (5162) is inconsistent.
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | |   (5163)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | |   (5164)  all_54_8 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5026), (5164) are inconsistent by
% 188.29/28.82  | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | |   (5165)   ~ (all_54_8 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | |   (5166)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | |   (5167)  all_54_2 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5027), (5167) are inconsistent by
% 188.29/28.82  | | | | | | | | | | | | | | | | | | |            sub-proof #1762.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | |   (5168)   ~ (all_54_2 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | |   (5169)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | |   (5170)  all_54_1 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5170) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | |   (5171)  all_52_4 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | SIMP: (5171) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | |   (5172)  all_52_4 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5172) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | |   (5173)   ~ (all_52_7 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | SIMP: (5173) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | |   (5174)   ~ (all_52_7 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5172) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | |   (5175)   ~ (all_52_8 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5172) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | |   (5176)   ~ (all_52_12 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | SIMP: (5176) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | |   (5177)   ~ (all_52_12 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | |   (5178)  all_54_13 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (5178) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | |   (5179)  all_52_7 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | REDUCE: (5174), (5179) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | |   (5180)  $false
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | CLOSE: (5180) is inconsistent.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | |   (5181)   ~ (all_54_13 = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | |   (5182)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5182) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | |   (5183)  all_54_13 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (5183) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | |   (5184)  all_52_7 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (5184) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | |   (5185)   ~ (all_52_3 = e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (5184) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | |   (5186)   ~ (all_52_11 = e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | SIMP: (5186) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | |   (5187)   ~ (all_52_11 = e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5174), (5184) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | |   (5188)   ~ (e3 = e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | |   (5189)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5189) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | |   (5190)  all_56_1 = e3 & op(e3, e2) = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5190) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | |   (5191)  all_56_1 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5163) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5192)  all_54_14 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5192) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5193)  all_52_11 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5187), (5193) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5194)  $false
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5194) is inconsistent.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5195)  all_54_14 = e1 | all_54_14 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5196)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5196) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5197)  all_56_12 = e3 & op(e0, e3) = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5197) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5198)  all_56_12 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5199)  all_56_15 = e0 & op(e0, e0) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5199) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5200)  op(e0, e0) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (5200), (function-axioms) are
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5201)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5201) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5202)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5203)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5202) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5204)  all_56_12 = e0 & op(e0, e3) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5204) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5205)  all_56_12 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5198), (5205) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5206)  e3 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5206) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5207)  e3 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (206),
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (213), (214), (215), (228), (373), (3645),
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3646), (5031), (5191), (5198), (5207),
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #853.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5208)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5208) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5209)  all_56_13 = e0 & op(e0, e2) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5209) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5210)  all_56_13 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (227), (228), (373), (3645), (5031),
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5063), (5157), (5210), (function-axioms) are
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #851.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5211)  all_56_14 = e0 & op(e0, e1) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5211) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5212)  op(e0, e1) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5213)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5157), (5191), (5213),
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1300.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5214)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5214) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5215)  all_56_7 = e2 & op(e1, e2) = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5063), (5215) are inconsistent by sub-proof
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1906.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5216)  all_56_13 = e2 & op(e0, e2) = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5216) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5217)  all_56_13 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5218)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (223),
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (373), (5052), (5069), (5150), (5157),
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5218), (function-axioms) are inconsistent by
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #850.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5219)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5219) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5220)  all_56_6 = e0 & op(e1, e3) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5220) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5221)  all_56_6 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5222)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5222) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5223)  all_56_0 = e2 & op(e3, e3) = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5223) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5224)  op(e3, e3) = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5052), (5224), (function-axioms) are
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5225)  all_56_2 = e2 & op(e2, e3) = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5225) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5226)  all_56_2 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5227)  op(e2, e3) = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5228)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5228) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5229)  all_56_9 = e3 & op(e3, e0) = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5229) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5230)  op(e3, e0) = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5177), (5230), (function-axioms) are
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5231)  all_56_10 = e3 & op(e2, e0) = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5231) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5232)  all_56_10 = e3
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5233)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5233) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5234)  all_56_4 = e2 & op(e3, e1) = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5234) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5235)  all_56_4 = e2
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5203) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5236)  all_56_9 = e0 & op(e3, e0) = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5236) implies:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5237)  all_56_9 = e0
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5195) gives:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5238)  all_54_14 = e1
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5238) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5239)  all_52_11 = e1
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3642), (5239) imply:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5240)  $false
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5240) is inconsistent.
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5241)  all_54_14 = e0
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5241) imply:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5242)  all_52_11 = e0
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5242) imply:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5243)   ~ (all_52_3 = e0)
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5244)  all_54_12 = e3
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (5244) imply:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5245)  all_52_3 = e3
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5245) implies:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5246)  all_52_3 = e3
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (5246) imply:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5247)   ~ (all_52_1 = e3)
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5248)  all_54_4 = e3
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5247), (5248) are inconsistent by
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5249)   ~ (all_54_4 = e3)
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5250)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5250) gives:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5251)  all_54_4 = e2
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (5251) imply:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5252)  all_52_1 = e2
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5252) implies:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5253)  all_52_1 = e2
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5253) imply:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5254)   ~ (all_52_13 = e2)
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5254) implies:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5255)   ~ (all_52_13 = e2)
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.29/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5256)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5256) gives:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5257)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (169), (373), (5027), (5050), (5052),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5257), (function-axioms) are inconsistent by
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #857.
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5258)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5258) gives:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5259)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5259) gives:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5260)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5260) implies:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5261)  op(e3, e3) = e0
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5052), (5261), (function-axioms) are
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5262)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_1 & $i(all_57_1)))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5262) implies:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5263)  op(e0, e3) = e0
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5264)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (227), (228), (373), (3645), (5031),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5063), (5069), (5157), (5217), (5235), (5264),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #848.
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5265)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (5031), (5263), (5265),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1120.
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5266)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (5031), (5157), (5266),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1174.
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5267)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5267) gives:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5268)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5268) gives:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5269)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5269) gives:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5270)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5270) implies:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5271)  op(e2, e0) = e2
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5255), (5271), (function-axioms) are
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5272)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5272) implies:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5273)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5064), (5273), (function-axioms) are
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #879.
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5274)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5274) gives:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5275)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5275) implies:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5276)  op(e0, e1) = e1
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3642), (5276), (function-axioms) are
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1885.
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5277)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5277) implies:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5278)  op(e1, e0) = e0
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (112), (120),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (157), (160), (201), (213), (214), (215),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (227), (228), (270), (271), (373), (3643),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3645), (5031), (5050), (5063), (5069), (5157),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5169), (5177), (5217), (5235), (5278),
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #846.
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5279)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5279) gives:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5280)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5280) gives:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5281)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5281) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5282)  op(e3, e3) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (168), (232), (234), (3643),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5191), (5237), (5282), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1192.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5283)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5283) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5284)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5064), (5284), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #879.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5285)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (5031), (5285),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #866.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5286)   ~ (all_54_4 = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (5286) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5287)   ~ (all_52_1 = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5227), (5287), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1785.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5288)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5288) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5289)  all_54_12 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5185), (5289) are inconsistent by
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1465.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5290)  all_54_12 = e1 | all_54_12 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3640), (5243), (5290) are inconsistent by
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #845.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5291)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5291) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5292)  all_56_10 = e0 & op(e2, e0) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5292) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5293)  all_56_10 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5232), (5293) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5294)  e3 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (206),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (213), (214), (215), (228), (373), (3645),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3646), (5031), (5191), (5198), (5294),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #853.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5295)  all_56_11 = e0 & op(e1, e0) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5295) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5296)  op(e1, e0) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (112), (120),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (157), (160), (201), (213), (214), (215),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (227), (228), (270), (271), (373), (3643),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3645), (5031), (5050), (5063), (5069), (5157),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5169), (5177), (5217), (5235), (5296),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #846.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5297)  all_56_5 = e2 & op(e2, e1) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5297) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5298)  op(e2, e1) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5070), (5298), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5299)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5299) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5300)  all_56_8 = e2 & op(e1, e1) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5300) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5301)  op(e1, e1) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5301), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5302)  all_56_14 = e2 & op(e0, e1) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5302) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5303)  all_56_14 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (160),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (208), (213), (214), (215), (223), (224),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (3645), (3646), (5031),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5063), (5069), (5150), (5157), (5191), (5198),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5202), (5226), (5303), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #844.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5304)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5304) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5305)  all_56_11 = e3 & op(e1, e0) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5305) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5306)  all_56_11 = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5307)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5307) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5308)  all_56_6 = e2 & op(e1, e3) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5308) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5309)  all_56_6 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5221), (5309) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5310)  e2 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5226), (5310) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5311)  all_56_2 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (85), (223), (224),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (5069), (5150), (5157), (5311),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1703.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5312)  all_56_7 = e2 & op(e1, e2) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5312) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5313)  all_56_7 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5063), (5313) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5314)  e2 = e1
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5314) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5315)  e2 = e1
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5226), (5315) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5316)  all_56_2 = e1
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (5052),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5198), (5316), (function-axioms) are inconsistent
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1845.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5317)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5306), (5317), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #885.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5318)  all_56_15 = e3 & op(e0, e0) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5318) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5319)  op(e0, e0) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5319), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5320)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (227), (228), (373), (3645), (5031),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5063), (5157), (5198), (5217), (5221), (5320),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #843.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5321)  all_56_12 = e0 & op(e0, e3) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5321) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5322)  op(e0, e3) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (5212), (5322),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1671.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5323)  all_56_13 = e3 & op(e0, e2) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5323) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5324)  all_56_13 = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (5063), (5157), (5191),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5324), (function-axioms) are inconsistent by
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1298.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5325)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5325) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5326)  all_56_14 = e3 & op(e0, e1) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5326) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5327)  all_56_14 = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5328)  all_56_15 = e0 & op(e0, e0) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5328) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5329)  op(e0, e0) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (5329), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5330)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5330) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5331)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5331) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5332)  all_56_12 = e0 & op(e0, e3) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5332) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5333)  op(e0, e3) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5334)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5157), (5191), (5334),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1300.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5335)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5335) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5336)  all_56_7 = e2 & op(e1, e2) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5063), (5336) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1906.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5337)  all_56_13 = e2 & op(e0, e2) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5337) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5338)  all_56_13 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5339)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5339) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5340)  all_56_4 = e2 & op(e3, e1) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5340) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5341)  all_56_4 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5342)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (227), (228), (373), (3645), (5031),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5063), (5069), (5157), (5338), (5341), (5342),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #848.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5343)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (139), (157), (159), (5031), (5333), (5343),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1120.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5344)  all_56_5 = e2 & op(e2, e1) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5344) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5345)  op(e2, e1) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5070), (5345), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5346)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5327), (5346), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5347)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5347) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5348)  all_56_13 = e0 & op(e0, e2) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5348) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5349)  all_56_13 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (227), (228), (373), (3645), (5031),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5063), (5157), (5349), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #851.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5350)  all_56_14 = e0 & op(e0, e1) = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5350) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5351)  all_56_14 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5327), (5351) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5352)  e3 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5352) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5353)  e3 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5191), (5353) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5354)  all_56_1 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (226),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (3641), (5157), (5354),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #874.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5355)  all_56_15 = e3 & op(e0, e0) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5355) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5356)  op(e0, e0) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5356), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |   (5357)  all_56_3 = e3 & op(e2, e2) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5357) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |   (5358)  op(e2, e2) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (5358), (function-axioms) are
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | |   (5359)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5359) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |   (5360)  all_56_7 = e3 & op(e1, e2) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5360) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |   (5361)  all_56_7 = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |            (215), (3645), (5031), (5361), (function-axioms)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1769.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |   (5362)  all_56_13 = e3 & op(e0, e2) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5362) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |   (5363)  all_56_13 = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (168), (169), (227), (236),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |            (5027), (5052), (5063), (5157), (5177), (5363),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |            #1295.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | |   (5364)  all_54_13 = e1 | all_54_13 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3641), (5153), (5364) are inconsistent by
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1652.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | |   (5365)   ~ (all_54_1 = e3)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | |   (5366)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (5365) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | |   (5367)   ~ (all_52_4 = e3)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5366) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | |   (5368)  all_54_1 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5368) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | |   (5369)  all_52_4 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | SIMP: (5369) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | |   (5370)  all_52_4 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5370) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | |   (5371)   ~ (all_52_8 = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | SIMP: (5371) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | |   (5372)   ~ (all_52_8 = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | REDUCE: (5367), (5370) imply:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | |   (5373)   ~ (e3 = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | |   (5374)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5374) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | |   (5375)  all_56_1 = e3 & op(e3, e2) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5375) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | |   (5376)  all_56_1 = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |   (5377)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5377) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (5378)  all_56_12 = e3 & op(e0, e3) = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5378) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (5379)  all_56_12 = e3
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5380)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5157), (5376), (5380),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1300.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5381)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5381) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5382)  all_56_7 = e2 & op(e1, e2) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5063), (5382) are inconsistent by sub-proof
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1906.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5383)  all_56_13 = e2 & op(e0, e2) = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5383) implies:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5384)  all_56_13 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5385)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (121), (157),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (213), (214), (215), (217), (227), (228),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (373), (3645), (5031), (5050), (5063),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5069), (5070), (5157), (5169), (5372), (5384),
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5385), (function-axioms) are inconsistent by
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #842.
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5386)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5386) gives:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5387)  all_56_8 = e2 & op(e1, e1) = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5387) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5388)  op(e1, e1) = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5388), (function-axioms) are
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5389)  all_56_14 = e2 & op(e0, e1) = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5389) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5390)  all_56_14 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5391)  all_56_15 = e0 & op(e0, e0) = e0
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5391) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5392)  op(e0, e0) = e0
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3646), (5392), (function-axioms) are
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5393)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5393) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5394)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5395)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (223),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (373), (5052), (5069), (5150), (5157),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5395), (function-axioms) are inconsistent by
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #850.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5396)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5396) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5397)  all_56_6 = e0 & op(e1, e3) = e0
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5397) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5398)  all_56_6 = e0
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5399)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5399) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5400)  all_56_0 = e2 & op(e3, e3) = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5400) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5401)  op(e3, e3) = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5052), (5401), (function-axioms) are
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5402)  all_56_2 = e2 & op(e2, e3) = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5402) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5403)  all_56_2 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (160),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (208), (213), (214), (215), (223), (224),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (3645), (3646), (5031),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5063), (5069), (5150), (5157), (5376), (5379),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5390), (5394), (5403), (function-axioms) are
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #844.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5404)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (227), (228), (373), (3645), (5031),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5063), (5157), (5379), (5384), (5398), (5404),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #843.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5405)  all_56_12 = e0 & op(e0, e3) = e0
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5405) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5406)  all_56_12 = e0
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5379), (5406) imply:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5407)  e3 = e0
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (206),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (213), (214), (215), (228), (373), (3645),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3646), (5031), (5376), (5379), (5407),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #853.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5408)  all_56_13 = e3 & op(e0, e2) = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5408) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5409)  all_56_13 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5410)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5157), (5376), (5410),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1300.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5411)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5063), (5409), (5411) are inconsistent
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1299.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | |   (5412)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5412) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5413)  all_56_14 = e3 & op(e0, e1) = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5413) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5414)  all_56_14 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5415)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5157), (5376), (5415),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1300.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5416)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5416) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5417)  all_56_7 = e2 & op(e1, e2) = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5063), (5417) are inconsistent by sub-proof
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1906.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5418)  all_56_13 = e2 & op(e0, e2) = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5418) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5419)  all_56_13 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5420)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (121), (157),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (213), (214), (215), (217), (227), (228),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (373), (3645), (5031), (5050), (5063),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5069), (5070), (5157), (5169), (5372), (5419),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5420), (function-axioms) are inconsistent by
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #842.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5421)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5414), (5421), (function-axioms) are
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5422)  all_56_15 = e3 & op(e0, e0) = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5422) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5423)  op(e0, e0) = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5423), (function-axioms) are
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (5424)  all_56_3 = e3 & op(e2, e2) = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5424) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (5425)  op(e2, e2) = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (5425), (function-axioms) are
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | |   (5426)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5426) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (5427)  all_56_7 = e3 & op(e1, e2) = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5427) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (5428)  all_56_7 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | |            (215), (3645), (5031), (5428), (function-axioms)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1769.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (5429)  all_56_13 = e3 & op(e0, e2) = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5429) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (5430)  all_56_13 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (5431)  op(e0, e2) = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | |   (5432)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5432) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5433)  all_56_1 = e2 & op(e3, e2) = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5433) implies:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5434)  all_56_1 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5169) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5435)  all_54_2 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (5372), (5435) are inconsistent by
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1761.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5436)  all_54_2 = e1 | all_54_2 = e0
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5437)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5437) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5438)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (169), (373), (5027), (5050), (5052),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5438), (function-axioms) are inconsistent by
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #857.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5439)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5439) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5440)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3646), (5052), (5440),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #933.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5441)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (5031), (5157), (5441),
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1174.
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5442)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5442) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5443)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5443) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5444)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5444) gives:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5445)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5445) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5446)  op(e0, e2) = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5447)  op(e2, e0) = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5448)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (227), (5052), (5063), (5157),
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5430), (5448), (function-axioms) are inconsistent
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1297.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5449)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5449) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5450)  all_56_4 = e3 & op(e3, e1) = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5450) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5451)  op(e3, e1) = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5027), (5451), (function-axioms) are
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5452)  all_56_9 = e3 & op(e3, e0) = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5452) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5453)  op(e3, e0) = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5454)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5454) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5455)  all_56_0 = e3 & op(e3, e3) = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5455) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5456)  op(e3, e3) = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5052), (5456), (function-axioms) are
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5457)  all_56_2 = e3 & op(e2, e3) = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5457) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5458)  all_56_2 = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5459)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5459) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5460)  all_56_2 = e2 & op(e2, e3) = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5458), (5460) are inconsistent by sub-proof
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1861.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5461)  all_56_3 = e2 & op(e2, e2) = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5461) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5462)  op(e2, e2) = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (5063), (5430), (5434),
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5462), (function-axioms) are inconsistent by
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1156.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5463)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5463) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5464)  all_56_5 = e2 & op(e2, e1) = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5464) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5465)  op(e2, e1) = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (5447), (5465),
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5466)  all_56_10 = e2 & op(e2, e0) = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5466) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5467)  all_56_10 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5468)  all_54_3 = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5468) imply:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5469)  all_52_12 = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5469) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5470)  all_52_12 = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5470) imply:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5471)   ~ (all_52_13 = e3)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5471) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5472)   ~ (all_52_13 = e3)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5473)  all_54_7 = e3
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5472), (5473) are inconsistent by
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5474)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5474) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5475)  all_54_7 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5475) imply:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5476)  all_52_13 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5476) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5477)  all_52_13 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5477) imply:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5478)   ~ (all_52_14 = e2)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5478) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5479)   ~ (all_52_14 = e2)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5159) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5480)  all_54_11 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (5479), (5480) are inconsistent by
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5481)  all_54_11 = e1 | all_54_11 = e0
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5481) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5482)  all_54_11 = e1
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3645), (5482) are inconsistent by
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1338.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5483)  all_54_11 = e0
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5483) imply:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5484)  all_52_14 = e0
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5484) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5485)  all_52_14 = e0
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (5485) imply:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5486)   ~ (all_52_2 = e0)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5166) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5487)  all_54_8 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (5487) imply:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5488)  all_52_2 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5488) implies:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5489)  all_52_2 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e2,
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (5431), (5446) gives:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5490)  e3 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5458), (5490) imply:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5491)  all_56_2 = e2
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (5069), (5467),
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5491), (function-axioms) are inconsistent by
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1398.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5492)  all_54_8 = e1 | all_54_8 = e0
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5048), (5486), (5492) are inconsistent by
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1365.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5493)  all_54_7 = e1 | all_54_7 = e0
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3644), (5154), (5493) are inconsistent by
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1376.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5494)   ~ (all_54_3 = e3)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (5494) imply:
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5495)   ~ (all_52_12 = e3)
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5453), (5495), (function-axioms) are
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 188.45/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5496)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5496) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5497)  all_56_6 = e3 & op(e1, e3) = e3
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5497) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5498)  all_56_6 = e3
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5499)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5499) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5500)  all_56_0 = e0 & op(e3, e3) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5500) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5501)  op(e3, e3) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5052), (5501), (function-axioms) are
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5502)  all_56_1 = e0 & op(e3, e2) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5502) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5503)  all_56_1 = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (5063), (5157), (5430),
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5503), (function-axioms) are inconsistent by
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1904.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5504)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5504) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5505)  all_56_4 = e0 & op(e3, e1) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5505) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5506)  all_56_4 = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5507)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5507) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5508)  all_56_6 = e0 & op(e1, e3) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5508) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5509)  all_56_6 = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5498), (5509) imply:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5510)  e3 = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5430), (5510) imply:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5511)  all_56_13 = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (228), (373), (3645), (5031),
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5434), (5511), (function-axioms) are inconsistent
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #852.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5512)  all_56_7 = e0 & op(e1, e2) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5063), (5512) are inconsistent by sub-proof
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1563.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5513)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5514)  all_56_8 = e0 & op(e1, e1) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5514) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5515)  op(e1, e1) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (5069),
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5506), (5515), (function-axioms) are inconsistent
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1817.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5516)  all_56_11 = e0 & op(e1, e0) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5516) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5517)  all_56_11 = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5518)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5518) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5519)  all_56_6 = e2 & op(e1, e3) = e2
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5498), (5519) are inconsistent by sub-proof
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1853.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5520)  all_56_7 = e2 & op(e1, e2) = e2
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5063), (5520) are inconsistent by sub-proof
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1906.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5521)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5521) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5522)  all_56_8 = e2 & op(e1, e1) = e2
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5522) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5523)  op(e1, e1) = e2
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5523), (function-axioms) are
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5524)  all_56_11 = e2 & op(e1, e0) = e2
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5524) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5525)  all_56_11 = e2
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5517), (5525) are inconsistent by sub-proof
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1227.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5526)  all_56_9 = e0 & op(e3, e0) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5526) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5527)  op(e3, e0) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5453), (5527), (function-axioms) are
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5528)  all_56_12 = e3 & op(e0, e3) = e3
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5528) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5529)  all_56_12 = e3
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (208), (3646),
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5430), (5529), (function-axioms) are inconsistent
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #888.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5530)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5530) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5531)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5031), (5064), (5531), (function-axioms) are
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #879.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5532)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5532) gives:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5533)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5533) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5534)  op(e0, e1) = e1
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3642), (5534), (function-axioms) are
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1885.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5535)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5535) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5536)  op(e0, e1) = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (5050), (5436), (5536),
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1075.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5537)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (3646), (5031), (5052), (5064),
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5537), (function-axioms) are inconsistent by
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #855.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (5538)  all_56_3 = e2 & op(e2, e2) = e2
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5538) implies:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (5539)  op(e2, e2) = e2
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5157), (5539), (function-axioms) are
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | |   (5540)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5063), (5430), (5540) are inconsistent
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1299.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | |   (5541)  all_54_1 = e1 | all_54_1 = e0
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (5049), (5152), (5541) are inconsistent by
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1898.
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | |   (5542)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.52/28.86  | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.52/28.86  | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | REF_CLOSE: (8), (157), (3642), (5031), (5542),
% 188.52/28.86  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.86  | | | | | | | | | | | | |            #1235.
% 188.52/28.86  | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | |   (5543)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.52/28.86  | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 188.52/28.86  | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | REF_CLOSE: (8), (160), (3645), (5031), (5543),
% 188.52/28.86  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.86  | | | | | | | | | | |            #1770.
% 188.52/28.86  | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | End of split
% 188.52/28.86  | | | | | | | | | 
% 188.52/28.86  | | | | | | | | Case 2:
% 188.52/28.86  | | | | | | | | | 
% 188.52/28.86  | | | | | | | | |   (5544)  all_24_2 = e1
% 188.52/28.86  | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | COMBINE_EQS: (318), (5544) imply:
% 188.52/28.86  | | | | | | | | |   (5545)  all_4_2 = e1
% 188.52/28.86  | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | REDUCE: (354), (5545) imply:
% 188.52/28.86  | | | | | | | | |   (5546)   ~ (all_52_6 = e1)
% 188.52/28.86  | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | REDUCE: (358), (5545) imply:
% 188.52/28.86  | | | | | | | | |   (5547)   ~ (all_52_9 = e1)
% 188.52/28.86  | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | REDUCE: (373), (5545) imply:
% 188.52/28.86  | | | | | | | | |   (5548)   ~ (e3 = e1)
% 188.52/28.86  | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | REDUCE: (36), (5545) imply:
% 188.52/28.86  | | | | | | | | |   (5549)  op(e2, e2) = e1
% 188.52/28.86  | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | BETA: splitting (214) gives:
% 188.52/28.86  | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | |   (5550)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.52/28.86  | | | | | | | | | |             & op(e1, e2) = e1)
% 188.52/28.86  | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | BETA: splitting (5550) gives:
% 188.52/28.86  | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | |   (5551)  all_56_6 = e1 & op(e1, e3) = e1
% 188.52/28.86  | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | ALPHA: (5551) implies:
% 188.52/28.86  | | | | | | | | | | |   (5552)  all_56_6 = e1
% 188.52/28.86  | | | | | | | | | | |   (5553)  op(e1, e3) = e1
% 188.52/28.86  | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | BETA: splitting (218) gives:
% 188.52/28.86  | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | |   (5554)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.52/28.86  | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.52/28.86  | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | BETA: splitting (5554) gives:
% 188.52/28.86  | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | Case 1:
% 188.52/28.86  | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | |   (5555)  all_56_4 = e1 & op(e3, e1) = e1
% 188.52/28.86  | | | | | | | | | | | | | 
% 188.52/28.86  | | | | | | | | | | | | | ALPHA: (5555) implies:
% 188.52/28.86  | | | | | | | | | | | | |   (5556)  op(e3, e1) = e1
% 188.52/28.86  | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 188.52/28.87  | | | | | | | | | | | | |              e3, e1, simplifying with (163), (5553) gives:
% 188.52/28.87  | | | | | | | | | | | | |   (5557)  all_52_2 = e1
% 188.52/28.87  | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 188.52/28.87  | | | | | | | | | | | | |              e1, e3, simplifying with (169), (5556) gives:
% 188.52/28.87  | | | | | | | | | | | | |   (5558)  all_52_8 = e1
% 188.52/28.87  | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | REDUCE: (143), (5557) imply:
% 188.52/28.87  | | | | | | | | | | | | |   (5559)   ~ (all_52_6 = e1)
% 188.52/28.87  | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | REDUCE: (141), (5557) imply:
% 188.52/28.87  | | | | | | | | | | | | |   (5560)   ~ (all_52_14 = e1)
% 188.52/28.87  | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | REDUCE: (346), (5558) imply:
% 188.52/28.87  | | | | | | | | | | | | |   (5561)   ~ (all_6_2 = e1)
% 188.52/28.87  | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | SIMP: (5561) implies:
% 188.52/28.87  | | | | | | | | | | | | |   (5562)   ~ (all_6_2 = e1)
% 188.52/28.87  | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.52/28.87  | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | |   (5563)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.87  | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.87  | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.87  | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.87  | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.87  | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.87  | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.87  | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.87  | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 188.52/28.87  | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.52/28.87  | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.52/28.87  | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.52/28.87  | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.52/28.87  | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.52/28.87  | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.52/28.87  | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.87  | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 188.52/28.87  | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.52/28.87  | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.52/28.87  | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.52/28.87  | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.87  | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.87  | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | BETA: splitting (5563) gives:
% 188.52/28.87  | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | |   (5564)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.87  | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.87  | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.87  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.87  | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.87  | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.87  | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | BETA: splitting (5564) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | |   (5565)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.87  | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.87  | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.87  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5553), (5565), (function-axioms) are
% 188.52/28.87  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #894.
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | |   (5566)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.87  | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.87  | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5549), (5566), (function-axioms) are
% 188.52/28.87  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #938.
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | End of split
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | |   (5567)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.87  | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.87  | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.87  | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.52/28.87  | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.87  | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.87  | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.52/28.87  | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.52/28.87  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.52/28.87  | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.52/28.87  | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | BETA: splitting (5567) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | |   (5568)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.87  | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.87  | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3646), (5031), (5568),
% 188.52/28.87  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.87  | | | | | | | | | | | | | | | |            #882.
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | |   (5569)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.52/28.87  | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.52/28.87  | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.52/28.87  | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.87  | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (5027), (5546), (5569),
% 188.52/28.87  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.87  | | | | | | | | | | | | | | | |            #1677.
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | End of split
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | End of split
% 188.52/28.87  | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | |   (5570)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.87  | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.87  | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.87  | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.87  | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.52/28.87  | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.87  | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.87  | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.52/28.87  | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.87  | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.87  | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.87  | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.52/28.87  | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 188.52/28.87  | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.52/28.87  | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.52/28.87  | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.52/28.87  | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 188.52/28.87  | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.52/28.87  | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 188.52/28.87  | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.87  | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.87  | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.87  | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.87  | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.87  | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.87  | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.52/28.87  | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.87  | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.87  | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.87  | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.87  | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.52/28.87  | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.87  | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.87  | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.87  | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.87  | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.52/28.87  | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.87  | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.87  | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.87  | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.87  | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | BETA: splitting (5570) gives:
% 188.52/28.87  | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | |   (5571)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.87  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.87  | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.87  | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.52/28.87  | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.87  | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.87  | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.52/28.87  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.87  | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | BETA: splitting (5571) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | |   (5572)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.87  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.87  | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.87  | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | BETA: splitting (5572) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | |   (5573)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.87  | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.87  | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | ALPHA: (5573) implies:
% 188.52/28.87  | | | | | | | | | | | | | | | | |   (5574)  op(e3, e1) = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5027), (5574), (function-axioms) are
% 188.52/28.87  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | |   (5575)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 188.52/28.87  | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 188.52/28.87  | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 188.52/28.87  | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | ALPHA: (5575) implies:
% 188.52/28.87  | | | | | | | | | | | | | | | | |   (5576)  op(e3, e3) = e1
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (5562), (5576),
% 188.52/28.87  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.87  | | | | | | | | | | | | | | | | |            #1052.
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | End of split
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | |   (5577)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.87  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.52/28.87  | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.52/28.87  | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 188.52/28.87  | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5031), (5549), (5577),
% 188.52/28.87  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.87  | | | | | | | | | | | | | | | |            #840.
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | End of split
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | |   (5578)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.52/28.87  | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.87  | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.52/28.87  | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.87  | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.87  | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.52/28.87  | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.87  | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.52/28.87  | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 188.52/28.87  | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.52/28.87  | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.52/28.87  | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.52/28.87  | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.87  | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 188.52/28.87  | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.52/28.87  | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.52/28.87  | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.87  | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.52/28.87  | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.87  | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.87  | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.87  | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.52/28.87  | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.87  | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.87  | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | BETA: splitting (5578) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | |   (5579)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.52/28.87  | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.87  | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.52/28.87  | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.87  | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.87  | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_14))
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | REF_CLOSE: (39), (204), (279), (374), (377), (5562), (5579),
% 188.52/28.87  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.87  | | | | | | | | | | | | | | | |            #1050.
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | |   (5580)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.52/28.87  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.87  | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.87  | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.87  | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.52/28.87  | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.87  | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.87  | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.87  | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.52/28.87  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.87  | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.87  | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.87  | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.52/28.87  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.87  | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.87  | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | BETA: splitting (5580) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | |   (5581)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.52/28.87  | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.87  | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.87  | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | ALPHA: (5581) implies:
% 188.52/28.87  | | | | | | | | | | | | | | | | |   (5582)  op(e1, e1) = e0
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5031), (5582), (function-axioms) are
% 188.52/28.87  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | |   (5583)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.52/28.87  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.52/28.87  | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 188.52/28.87  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.52/28.87  | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 188.52/28.87  | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.87  | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 188.52/28.87  | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 188.52/28.87  | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.52/28.87  | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 188.52/28.87  | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.52/28.87  | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | BETA: splitting (5583) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | |   (5584)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.52/28.87  | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | ALPHA: (5584) implies:
% 188.52/28.87  | | | | | | | | | | | | | | | | | |   (5585)  op(e1, e0) = e1
% 188.52/28.87  | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3645), (5585), (function-axioms) are
% 188.52/28.87  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 188.52/28.87  | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | |   (5586)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.52/28.87  | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.52/28.87  | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 188.52/28.87  | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | ALPHA: (5586) implies:
% 188.52/28.87  | | | | | | | | | | | | | | | | | |   (5587)  op(e0, e0) = all_57_15
% 188.52/28.87  | | | | | | | | | | | | | | | | | |   (5588)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.87  | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.52/28.87  | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.52/28.87  | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.52/28.87  | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | |   (5589)   ~ (all_30_2 = e3)
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | REDUCE: (5025), (5589) imply:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | |   (5590)  $false
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | CLOSE: (5590) is inconsistent.
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | |   (5591)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 188.52/28.87  | | | | | | | | | | | | | | | | | | |             & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 188.52/28.87  | | | | | | | | | | | | | | | | | | |             $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 188.52/28.87  | | | | | | | | | | | | | | | | | | |             = all_30_1 & $i(all_30_1))
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (5591) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | |   (5592)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | |           op(e1, e3) = all_30_1 & $i(all_30_0) &
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (5592) implies:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | |   (5593)  op(e1, e3) = all_30_1
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | |   (5594)  all_54_0 = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (5594) imply:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | |   (5595)  all_6_2 = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (5595) imply:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | |   (5596)   ~ (all_52_12 = e3)
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5595) imply:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | |   (5597)  op(e3, e3) = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | |   (5598)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5598) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |   (5599)  all_56_9 = e3 & op(e3, e0) = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5599) implies:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |   (5600)  op(e3, e0) = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5596), (5600), (function-axioms) are
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |   (5601)  all_56_10 = e3 & op(e2, e0) = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5601) implies:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |   (5602)  op(e2, e0) = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (3644), (3646), (5022), (5031),
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |            (5549), (5553), (5587), (5588), (5593), (5597),
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |            (5602), (function-axioms) are inconsistent by
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #838.
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | |   (5603)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5603) gives:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |   (5604)  all_56_11 = e3 & op(e1, e0) = e3
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (5031),
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |            (5552), (5604), (function-axioms) are inconsistent
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #835.
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (5605)  all_56_15 = e3 & op(e0, e0) = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5605) implies:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (5606)  op(e0, e0) = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5606), (function-axioms) are
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |   (5607)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (5562), (5607) are
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |   (5608)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | ALPHA: (5608) implies:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |   (5609)   ~ (all_30_1 = e0)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |   (5610)  op(e1, e3) = all_30_1
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |   (5611)  all_54_0 = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (5611) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |   (5612)  all_6_2 = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (5612) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |   (5613)   ~ (all_52_12 = e3)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5612) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |   (5614)  op(e3, e3) = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |   (5615)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5615) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (5616)  all_56_9 = e3 & op(e3, e0) = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5616) implies:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (5617)  op(e3, e0) = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5613), (5617), (function-axioms) are
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (5618)  all_56_10 = e3 & op(e2, e0) = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5618) implies:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (5619)  op(e2, e0) = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (3644), (3646), (5022), (5031),
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |            (5549), (5553), (5587), (5588), (5610), (5614),
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |            (5619), (function-axioms) are inconsistent by
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #838.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |   (5620)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5620) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (5621)  all_56_11 = e3 & op(e1, e0) = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5621) implies:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (5622)  all_56_11 = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5022) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |   (5623)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e3) = all_20_1 & $i(all_20_0) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_20_1)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5623) implies:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |   (5624)  op(e1, e3) = all_20_1
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (213), (215), (5031), (5552),
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |            (5609), (5610), (5622), (5624), (function-axioms)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #834.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |   (5625)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_20_1)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5625) implies:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |   (5626)  op(e1, e3) = all_20_1
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (213), (215), (5031), (5552),
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |            (5609), (5610), (5622), (5626), (function-axioms)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #834.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (5627)  all_56_15 = e3 & op(e0, e0) = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5627) implies:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (5628)  op(e0, e0) = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3646), (5628), (function-axioms) are
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |   (5629)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (374), (377), (5562), (5629) are
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | |   (5630)  all_56_5 = e1 & op(e2, e1) = e1
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | ALPHA: (5630) implies:
% 188.52/28.88  | | | | | | | | | | | | |   (5631)  op(e2, e1) = e1
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | REF_CLOSE: (165), (5547), (5631), (function-axioms) are
% 188.52/28.88  | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | |   (5632)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.52/28.88  | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | REF_CLOSE: (8), (157), (3642), (5031), (5632),
% 188.52/28.88  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.88  | | | | | | | | | | | |            #1235.
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | |   (5633)  all_56_7 = e1 & op(e1, e2) = e1
% 188.52/28.88  | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | ALPHA: (5633) implies:
% 188.52/28.88  | | | | | | | | | | |   (5634)  op(e1, e2) = e1
% 188.52/28.88  | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | REF_CLOSE: (162), (5546), (5634), (function-axioms) are
% 188.52/28.88  | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 188.52/28.88  | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | |   (5635)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.52/28.88  | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 188.52/28.88  | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | REF_CLOSE: (8), (160), (3645), (5031), (5635),
% 188.52/28.88  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.88  | | | | | | | | | |            #1770.
% 188.52/28.88  | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | 
% 188.52/28.88  | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | 
% 188.52/28.88  | | | | | | | End of split
% 188.52/28.88  | | | | | | | 
% 188.52/28.88  | | | | | | End of split
% 188.52/28.88  | | | | | | 
% 188.52/28.88  | | | | | End of split
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | Case 2:
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | |   (5636)  all_12_2 = e2
% 188.52/28.88  | | | | |   (5637)  ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3,
% 188.52/28.88  | | | | |               e2) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 188.52/28.88  | | | | |             (all_12_1 = e1) & op(e3, e2) = all_12_1 & $i(all_12_1))
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | | COMBINE_EQS: (324), (5636) imply:
% 188.52/28.88  | | | | |   (5638)  all_6_2 = e2
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | | COMBINE_EQS: (281), (5638) imply:
% 188.52/28.88  | | | | |   (5639)  all_46_2 = e2
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | | REDUCE: (338), (5638) imply:
% 188.52/28.88  | | | | |   (5640)   ~ (all_52_1 = e2)
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | | REDUCE: (340), (5638) imply:
% 188.52/28.88  | | | | |   (5641)   ~ (all_52_2 = e2)
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | | REDUCE: (342), (5638) imply:
% 188.52/28.88  | | | | |   (5642)   ~ (all_52_3 = e2)
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | | REDUCE: (344), (5638) imply:
% 188.52/28.88  | | | | |   (5643)   ~ (all_52_4 = e2)
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | | REDUCE: (346), (5638) imply:
% 188.52/28.88  | | | | |   (5644)   ~ (all_52_8 = e2)
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | | REDUCE: (348), (5638) imply:
% 188.52/28.88  | | | | |   (5645)   ~ (all_52_12 = e2)
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | | BETA: splitting (234) gives:
% 188.52/28.88  | | | | | 
% 188.52/28.88  | | | | | Case 1:
% 188.52/28.88  | | | | | | 
% 188.52/28.88  | | | | | |   (5646)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 &
% 188.52/28.88  | | | | | |             op(e3, e2) = e2)
% 188.52/28.88  | | | | | | 
% 188.52/28.88  | | | | | | BETA: splitting (5646) gives:
% 188.52/28.88  | | | | | | 
% 188.52/28.88  | | | | | | Case 1:
% 188.52/28.88  | | | | | | | 
% 188.52/28.88  | | | | | | |   (5647)  all_56_0 = e2 & op(e3, e3) = e2
% 188.52/28.88  | | | | | | | 
% 188.52/28.88  | | | | | | | ALPHA: (5647) implies:
% 188.52/28.88  | | | | | | |   (5648)  all_56_0 = e2
% 188.52/28.88  | | | | | | |   (5649)  op(e3, e3) = e2
% 188.52/28.88  | | | | | | | 
% 188.52/28.88  | | | | | | | BETA: splitting (52) gives:
% 188.52/28.88  | | | | | | | 
% 188.52/28.88  | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | 
% 188.52/28.88  | | | | | | | |   (5650)   ~ (all_14_2 = e1)
% 188.52/28.88  | | | | | | | | 
% 188.52/28.88  | | | | | | | | BETA: splitting (58) gives:
% 188.52/28.88  | | | | | | | | 
% 188.52/28.88  | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | 
% 188.52/28.88  | | | | | | | | |   (5651)   ~ (all_18_2 = e3)
% 188.52/28.88  | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | REDUCE: (301), (5651) imply:
% 188.52/28.88  | | | | | | | | |   (5652)   ~ (all_14_2 = e3)
% 188.52/28.88  | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | BETA: splitting (61) gives:
% 188.52/28.88  | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | |   (5653)   ~ (all_20_2 = e3)
% 188.52/28.88  | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | REDUCE: (325), (5653) imply:
% 188.52/28.88  | | | | | | | | | |   (5654)   ~ (all_10_2 = e3)
% 188.52/28.88  | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | BETA: splitting (64) gives:
% 188.52/28.88  | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | |   (5655)   ~ (all_22_2 = e0)
% 188.52/28.88  | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | REDUCE: (251), (5655) imply:
% 188.52/28.88  | | | | | | | | | | |   (5656)   ~ (all_10_2 = e0)
% 188.52/28.88  | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | BETA: splitting (194) gives:
% 188.52/28.88  | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | |   (5657)  all_54_10 = e3
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | COMBINE_EQS: (336), (5657) imply:
% 188.52/28.88  | | | | | | | | | | | |   (5658)  all_10_2 = e3
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | REDUCE: (5654), (5658) imply:
% 188.52/28.88  | | | | | | | | | | | |   (5659)  $false
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | CLOSE: (5659) is inconsistent.
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | |   (5660)   ~ (all_54_10 = e3)
% 188.52/28.88  | | | | | | | | | | | |   (5661)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | BETA: splitting (5661) gives:
% 188.52/28.88  | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | |   (5662)  all_54_10 = e2
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | COMBINE_EQS: (336), (5662) imply:
% 188.52/28.88  | | | | | | | | | | | | |   (5663)  all_10_2 = e2
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | REDUCE: (375), (5663) imply:
% 188.52/28.88  | | | | | | | | | | | | |   (5664)  $false
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | CLOSE: (5664) is inconsistent.
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | |   (5665)   ~ (all_54_10 = e2)
% 188.52/28.88  | | | | | | | | | | | | |   (5666)  all_54_10 = e1 | all_54_10 = e0
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | BETA: splitting (5666) gives:
% 188.52/28.88  | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | |   (5667)  all_54_10 = e1
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | COMBINE_EQS: (336), (5667) imply:
% 188.52/28.88  | | | | | | | | | | | | | |   (5668)  all_10_2 = e1
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | REDUCE: (350), (5668) imply:
% 188.52/28.88  | | | | | | | | | | | | | |   (5669)   ~ (all_52_2 = e1)
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | REDUCE: (361), (5668) imply:
% 188.52/28.88  | | | | | | | | | | | | | |   (5670)   ~ (all_52_6 = e1)
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | REDUCE: (363), (5668) imply:
% 188.52/28.88  | | | | | | | | | | | | | |   (5671)   ~ (all_52_8 = e1)
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | REDUCE: (364), (5668) imply:
% 188.52/28.88  | | | | | | | | | | | | | |   (5672)   ~ (all_52_9 = e1)
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | REDUCE: (366), (5668) imply:
% 188.52/28.88  | | | | | | | | | | | | | |   (5673)   ~ (all_52_11 = e1)
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | REDUCE: (368), (5668) imply:
% 188.52/28.88  | | | | | | | | | | | | | |   (5674)   ~ (all_52_14 = e1)
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | REDUCE: (5654), (5668) imply:
% 188.52/28.88  | | | | | | | | | | | | | |   (5675)   ~ (e3 = e1)
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | REDUCE: (375), (5668) imply:
% 188.52/28.88  | | | | | | | | | | | | | |   (5676)   ~ (e2 = e1)
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | REDUCE: (45), (5668) imply:
% 188.52/28.88  | | | | | | | | | | | | | |   (5677)  op(e1, e1) = e1
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 188.52/28.88  | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | |   (5678)   ~ (all_24_2 = e1)
% 188.52/28.88  | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | REDUCE: (318), (5678) imply:
% 188.52/28.88  | | | | | | | | | | | | | | |   (5679)   ~ (all_4_2 = e1)
% 188.52/28.88  | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | |   (5680)   ~ (all_28_2 = e2)
% 188.52/28.88  | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | REDUCE: (330), (5680) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | |   (5681)   ~ (all_14_2 = e2)
% 188.52/28.88  | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | |   (5682)  all_54_15 = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5682) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | |   (5683)  all_14_2 = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | REDUCE: (5652), (5683) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | |   (5684)  $false
% 188.52/28.88  | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | CLOSE: (5684) is inconsistent.
% 188.52/28.88  | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | |   (5685)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | BETA: splitting (5685) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | |   (5686)  all_54_15 = e2
% 188.52/28.88  | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5686) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | |   (5687)  all_14_2 = e2
% 188.52/28.88  | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | REDUCE: (5681), (5687) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | |   (5688)  $false
% 188.52/28.88  | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | CLOSE: (5688) is inconsistent.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | |   (5689)   ~ (all_54_15 = e2)
% 188.52/28.88  | | | | | | | | | | | | | | | | | |   (5690)  all_54_15 = e1 | all_54_15 = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | BETA: splitting (5690) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5691)  all_54_15 = e1
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5691) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5692)  all_14_2 = e1
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | REDUCE: (5650), (5692) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5693)  $false
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | CLOSE: (5693) is inconsistent.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5694)  all_54_15 = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5694) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5695)  all_14_2 = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | REDUCE: (351), (5695) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5696)   ~ (all_52_3 = e0)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | REDUCE: (362), (5695) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5697)   ~ (all_52_7 = e0)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5695) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5698)   ~ (all_52_11 = e0)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | REDUCE: (372), (5695) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5699)   ~ (all_52_14 = e0)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | REDUCE: (5681), (5695) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5700)   ~ (e2 = e0)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | REDUCE: (5650), (5695) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5701)   ~ (e1 = e0)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | REDUCE: (51), (5695) imply:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | |   (5702)  op(e0, e0) = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |   (5703)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5703) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |   (5704)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5704) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |   (5705)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (5705), (function-axioms) are
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |   (5706)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (5669), (5706),
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |            #1973.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |   (5707)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5707) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |   (5708)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (5677), (5702), (5708),
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |            #1944.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |   (5709)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (5670), (5679), (5709),
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | |            #1968.
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |   (5710)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5710) gives:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |   (5711)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5711) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |   (5712)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5712) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (5713)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5713) implies:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (5714)  op(e0, e0) = e1
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (5650), (5690), (5714),
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |            #1642.
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (5715)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5715) implies:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (5716)  op(e3, e3) = e1
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (5716), (function-axioms) are
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |   (5717)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5717) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (5718)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5718) implies:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (5719)  op(e0, e0) = e1
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (5650), (5690), (5719),
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |            #1642.
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (5720)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5720) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5721)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5721) implies:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5722)  all_57_9 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5723)   ~ (all_57_11 = e2)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5724)   ~ (all_57_10 = e0)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5725)  op(e2, e0) = all_57_11
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5726)  op(e2, e2) = e0
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5727)  op(e3, e0) = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5728)  op(e3, e3) = all_57_10
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_11, e0, e2, simplifying with (164), (5725)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5729)  all_57_11 = all_52_13
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (36), (5726) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5730)  all_4_2 = e0
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e3, simplifying with (168), (5727) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5731)  all_52_12 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10, e3, e3, simplifying with (5649), (5728)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5732)  all_57_10 = e2
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (5730) imply:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5733)  all_36_2 = e0
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5723), (5729) imply:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5734)   ~ (all_52_13 = e2)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5731) imply:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5735)   ~ (all_52_4 = e3)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5731) imply:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5736)   ~ (all_52_13 = e3)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5736) implies:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5737)   ~ (all_52_13 = e3)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5731) imply:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5738)   ~ (all_52_14 = e3)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5738) implies:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5739)   ~ (all_52_14 = e3)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (5730) imply:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5740)   ~ (all_52_13 = e0)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (5730) imply:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (5741)   ~ (e3 = e0)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (5742)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (164),
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (5649), (5726),
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |            (5733), (5737), (5742), (function-axioms) are
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #832.
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (5743)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5743) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5744)  all_56_6 = e0 & op(e1, e3) = e0
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5744) implies:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5745)  all_56_6 = e0
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5746)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5746) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5747)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5747) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5748)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (5735), (5748),
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1530.
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5749)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (5649), (5669), (5749),
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #831.
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5750)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5750) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5751)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (5649), (5696), (5751),
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #830.
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5752)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (5670), (5726), (5752),
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1731.
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5753)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5753) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5754)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5754) gives:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5755)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5734), (5740), (5755), (function-axioms)
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1172.
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5756)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (5649), (5699), (5722), (5756),
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #828.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5757)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5757) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5758)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5649), (5726), (5758),
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #827.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5759)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5759) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5760)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5760) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5761)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5762)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (5649), (5735), (5762),
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #826.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5763)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5763) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5764)  all_56_4 = e3 & op(e3, e1) = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5764) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5765)  op(e3, e1) = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (5727), (5765),
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1912.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5766)  all_56_9 = e3 & op(e3, e0) = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5766) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5767)  all_56_9 = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5768)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5768) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5769)  all_56_0 = e1 & op(e3, e3) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5769) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5770)  op(e3, e3) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (5770), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5771)  all_56_1 = e1 & op(e3, e2) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5771) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5772)  all_56_1 = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5761) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5773)  all_57_12 = e1 & op(e2, e2) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5773) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5774)  op(e2, e2) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5726), (5774), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5775)   ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5775) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5776)   ~ (all_57_7 = e2)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5777)  op(e2, e1) = all_57_7
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5778)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5778) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5779)  all_56_6 = e3 & op(e1, e3) = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5745), (5779) are inconsistent by sub-proof
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1578.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5780)  all_56_7 = e3 & op(e1, e2) = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5780) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5781)  all_56_7 = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5782)  op(e1, e2) = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5783)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (5643), (5726), (5783),
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #824.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5784)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5784) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5785)  all_56_7 = e2 & op(e1, e2) = e2
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5785) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5786)  op(e1, e2) = e2
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5782), (5786), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #823.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5787)  all_56_13 = e2 & op(e0, e2) = e2
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5787) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5788)  all_56_13 = e2
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5789)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5789) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5790)  all_56_2 = e2 & op(e2, e3) = e2
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5790) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5791)  op(e2, e3) = e2
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (5791), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1785.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5792)  all_56_3 = e2 & op(e2, e2) = e2
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (5772), (5781), (5788),
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5792), (function-axioms) are inconsistent by
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #822.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5793)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5734), (5776), (5777), (5793),
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #821.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5794)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (5677), (5739), (5794),
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1055.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5795)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5795) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5796)  all_56_4 = e1 & op(e3, e1) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5796) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5797)  op(e3, e1) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5671), (5797), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5798)  all_56_9 = e1 & op(e3, e0) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5767), (5798) are inconsistent by sub-proof
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #820.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5799)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5799) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5800)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (5722), (5800), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #829.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5801)  all_56_12 = e0 & op(e0, e3) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5801) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5802)  op(e0, e3) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5696), (5802), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (5803)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5803) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (5804)  op(e1, e1) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5677), (5804), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |   (5805)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5805) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |   (5806)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (5806), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |   (5807)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5807) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |   (5808)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5808) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |   (5809)  op(e1, e1) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5677), (5809), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |   (5810)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5810) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (5811)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5811) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (5812)  op(e1, e0) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5674), (5812), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (5813)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5813) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (5814)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5814) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (5815)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (158), (159), (373), (5696), (5697), (5815),
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |            #816.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (5816)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5816) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5817)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5817) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5818)  op(e0, e2) = e0
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5697), (5818), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5819)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5819) gives:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5820)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5820) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5821)  op(e3, e3) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (159), (373), (5677), (5679),
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5696), (5698), (5814), (5821), (function-axioms)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1930.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5822)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7)
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5822) implies:
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5823)  op(e2, e2) = e1
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (5679), (5823), (function-axioms) are
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.90  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91  | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | End of split
% 188.52/28.91  | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | |   (5824)  all_28_2 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (5824) imply:
% 188.52/28.91  | | | | | | | | | | | | | | | |   (5825)  all_14_2 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | SIMP: (5825) implies:
% 188.52/28.91  | | | | | | | | | | | | | | | |   (5826)  all_14_2 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | REDUCE: (369), (5826) imply:
% 188.52/28.91  | | | | | | | | | | | | | | | |   (5827)   ~ (all_52_11 = e2)
% 188.52/28.91  | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | REDUCE: (371), (5826) imply:
% 188.52/28.91  | | | | | | | | | | | | | | | |   (5828)   ~ (all_52_13 = e2)
% 188.52/28.91  | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | REDUCE: (5652), (5826) imply:
% 188.52/28.91  | | | | | | | | | | | | | | | |   (5829)   ~ (e3 = e2)
% 188.52/28.91  | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | REDUCE: (51), (5826) imply:
% 188.52/28.91  | | | | | | | | | | | | | | | |   (5830)  op(e0, e0) = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | |   (5831)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.91  | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.91  | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 188.52/28.91  | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.52/28.91  | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 188.52/28.91  | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.52/28.91  | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.52/28.91  | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.52/28.91  | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.91  | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.91  | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | BETA: splitting (5831) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | |   (5832)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.91  | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.91  | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | BETA: splitting (5832) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |   (5833)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (5833), (function-axioms) are
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |   (5834)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (5669), (5834),
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |            #1973.
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | |   (5835)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.52/28.91  | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | BETA: splitting (5835) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |   (5836)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | BETA: splitting (5836) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |   (5837)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | ALPHA: (5837) implies:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |   (5838)   ~ (all_57_10 = e2)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |   (5839)  op(e3, e2) = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (36), (157), (163), (164), (169),
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |            (219), (239), (373), (5644), (5649), (5669),
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |            (5673), (5679), (5827), (5828), (5830), (5838),
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |            (5839), (function-axioms) are inconsistent by
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |            sub-proof #812.
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |   (5840)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | ALPHA: (5840) implies:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |   (5841)   ~ (all_57_10 = e2)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |   (5842)  op(e3, e2) = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (36), (157), (163), (164), (169),
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |            (219), (239), (373), (5644), (5649), (5669),
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |            (5673), (5679), (5827), (5828), (5830), (5841),
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |            (5842), (function-axioms) are inconsistent by
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |            sub-proof #812.
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |   (5843)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (5670), (5679), (5843),
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |            #1968.
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91  | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | |   (5844)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.91  | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.52/28.91  | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.91  | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.91  | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.52/28.91  | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 188.52/28.91  | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.52/28.91  | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.52/28.91  | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.52/28.91  | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.52/28.91  | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 188.52/28.91  | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.91  | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.52/28.91  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.91  | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.52/28.91  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.52/28.91  | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.91  | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | BETA: splitting (5844) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | |   (5845)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.91  | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | BETA: splitting (5845) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |   (5846)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (5830), (5846), (function-axioms) are
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #811.
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |   (5847)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | BETA: splitting (5847) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |   (5848)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | ALPHA: (5848) implies:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |   (5849)  op(e0, e0) = e1
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5830), (5849), (function-axioms) are
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |   (5850)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5850) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | |   (5851)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | ALPHA: (5851) implies:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | |   (5852)  op(e2, e0) = all_57_11
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | |   (5853)  op(e2, e2) = e0
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | |   (5854)  op(e3, e0) = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | |   (5855)  op(e3, e3) = all_57_10
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | |   (5856)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5856) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5857)  all_56_4 = e2 & op(e3, e1) = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5644), (5857), (function-axioms) are
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5858)  all_56_5 = e2 & op(e2, e1) = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5858) implies:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5859)  op(e2, e1) = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_11, e0, e2, simplifying with (164), (5852)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5860)  all_57_11 = all_52_13
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (5859) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5861)  all_52_9 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (36), (5853) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5862)  all_4_2 = e0
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e3, simplifying with (168), (5854) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5863)  all_52_12 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10, e3, e3, simplifying with (5649), (5855)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5864)  all_57_10 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5863) imply:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5865)   ~ (all_52_4 = e3)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5861) imply:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5866)   ~ (all_52_13 = e2)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (5862) imply:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5867)   ~ (all_52_13 = e0)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (5862) imply:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5868)   ~ (e3 = e0)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5679), (5862) imply:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | |   (5869)   ~ (e1 = e0)
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |   (5870)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5870) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (5871)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5871) gives:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5872)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (5865), (5872),
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1530.
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5873)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (5649), (5669), (5873),
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            #831.
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (5874)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5874) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5875)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5649), (5854), (5875),
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            #809.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5876)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (5670), (5853), (5876),
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1731.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |   (5877)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5877) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (5878)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5878) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5879)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5828), (5867), (5879), (function-axioms)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1172.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5880)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (5673), (5830), (5880),
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1730.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (5881)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5881) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5882)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5649), (5853), (5882),
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            #827.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5883)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (5830), (5853), (5859), (5883),
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1717.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |   (5884)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5884) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |   (5885)  all_56_8 = e2 & op(e1, e1) = e2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5885) implies:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |   (5886)  op(e1, e1) = e2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5677), (5886), (function-axioms) are
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |   (5887)  all_56_14 = e2 & op(e0, e1) = e2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (5827), (5887), (function-axioms) are
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #808.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |   (5888)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | ALPHA: (5888) implies:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |   (5889)  op(e1, e1) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5677), (5889), (function-axioms) are
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | |   (5890)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.92  | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.52/28.92  | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.52/28.92  | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | BETA: splitting (5890) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |   (5891)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (5891), (function-axioms) are
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |   (5892)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | BETA: splitting (5892) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |   (5893)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | ALPHA: (5893) implies:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |   (5894)  op(e2, e0) = e2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5828), (5894), (function-axioms) are
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |   (5895)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5895) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |   (5896)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | ALPHA: (5896) implies:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |   (5897)  op(e1, e0) = e1
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5674), (5897), (function-axioms) are
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |   (5898)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | ALPHA: (5898) implies:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |   (5899)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5899) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |   (5900)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5900) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |   (5901)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5901) implies:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |   (5902)  op(e2, e2) = e3
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (5902), (function-axioms) are
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |   (5903)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5903) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |   (5904)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_1)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5904) implies:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |   (5905)  op(e1, e1) = e3
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5677), (5905), (function-axioms) are
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |   (5906)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5906) implies:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |   (5907)   ~ (all_57_15 = e2)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |   (5908)  op(e0, e2) = e0
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (36), (157), (162), (163),
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |            (164), (169), (219), (239), (373), (5644), (5649),
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |            (5669), (5670), (5673), (5677), (5679), (5827),
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |            (5828), (5830), (5899), (5907), (5908),
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | |            #805.
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |   (5909)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5909) gives:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5910)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5910) implies:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5911)   ~ (all_57_15 = e2)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5912)  op(e0, e2) = e0
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (36), (157), (162), (163),
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |            (164), (169), (219), (239), (373), (5644), (5649),
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |            (5669), (5670), (5673), (5677), (5679), (5827),
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |            (5828), (5830), (5899), (5911), (5912),
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |            #805.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5913)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (5649), (5679), (5913),
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |            #804.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | |   (5914)  all_24_2 = e1
% 188.52/28.93  | | | | | | | | | | | | | | |   (5915)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 188.52/28.93  | | | | | | | | | | | | | | |             & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 188.52/28.93  | | | | | | | | | | | | | | |             $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 188.52/28.93  | | | | | | | | | | | | | | |             = all_24_1 & $i(all_24_1))
% 188.52/28.93  | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | COMBINE_EQS: (318), (5914) imply:
% 188.52/28.93  | | | | | | | | | | | | | | |   (5916)  all_4_2 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | COMBINE_EQS: (292), (5916) imply:
% 188.52/28.93  | | | | | | | | | | | | | | |   (5917)  all_44_2 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | REDUCE: (352), (5916) imply:
% 188.52/28.93  | | | | | | | | | | | | | | |   (5918)   ~ (all_52_4 = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | REDUCE: (356), (5916) imply:
% 188.52/28.93  | | | | | | | | | | | | | | |   (5919)   ~ (all_52_7 = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | REDUCE: (36), (5916) imply:
% 188.52/28.93  | | | | | | | | | | | | | | |   (5920)  op(e2, e2) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | |   (5921)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | BETA: splitting (5921) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | |   (5922)  all_56_0 = e1 & op(e3, e3) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | ALPHA: (5922) implies:
% 188.52/28.93  | | | | | | | | | | | | | | | | |   (5923)  op(e3, e3) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (5923), (function-axioms) are
% 188.52/28.93  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | |   (5924)  all_56_2 = e1 & op(e2, e3) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | ALPHA: (5924) implies:
% 188.52/28.93  | | | | | | | | | | | | | | | | |   (5925)  all_56_2 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | |   (5926)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (229), (235),
% 188.52/28.93  | | | | | | | | | | | | | | | | | |            (5649), (5919), (5925), (5926), (function-axioms)
% 188.52/28.93  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #801.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | |   (5927)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (5650), (5673), (5927),
% 188.52/28.93  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.93  | | | | | | | | | | | | | | | | | |            #1680.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | |   (5928)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.52/28.93  | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | BETA: splitting (5928) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | |   (5929)  all_56_6 = e1 & op(e1, e3) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | ALPHA: (5929) implies:
% 188.52/28.93  | | | | | | | | | | | | | | | | |   (5930)  op(e1, e3) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5669), (5930), (function-axioms) are
% 188.52/28.93  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | |   (5931)  all_56_12 = e1 & op(e0, e3) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | ALPHA: (5931) implies:
% 188.52/28.93  | | | | | | | | | | | | | | | | |   (5932)  all_56_12 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | |   (5933)  op(e0, e3) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | |   (5934)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (5649), (5918), (5934),
% 188.52/28.93  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.93  | | | | | | | | | | | | | | | | | |            #800.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | |   (5935)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | BETA: splitting (5935) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5936)  all_56_4 = e1 & op(e3, e1) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | ALPHA: (5936) implies:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5937)  op(e3, e1) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5671), (5937), (function-axioms) are
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5938)  all_56_9 = e1 & op(e3, e0) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | ALPHA: (5938) implies:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5939)  all_56_9 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5940)  op(e3, e0) = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (5933) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5941)  all_52_3 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (5940) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5942)  all_52_12 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | REDUCE: (148), (5941) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5943)   ~ (all_52_1 = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | REDUCE: (140), (5941) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5944)   ~ (all_52_7 = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5941) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5945)   ~ (all_52_11 = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5942) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5946)   ~ (all_52_14 = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | REDUCE: (370), (5942) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | |   (5947)   ~ (all_14_2 = e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | |   (5948)   ~ (all_28_2 = e2)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (5948) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | |   (5949)   ~ (all_14_2 = e2)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | |   (5950)  all_54_15 = e3
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5652), (5950) are inconsistent by
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | |   (5951)   ~ (all_54_15 = e3)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | |   (5952)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5952) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | |   (5953)  all_54_15 = e2
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5949), (5953) are inconsistent by
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1648.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | |   (5954)   ~ (all_54_15 = e2)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | |   (5955)  all_54_15 = e1 | all_54_15 = e0
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5955) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5956)  all_54_15 = e1
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5650), (5956) are inconsistent by
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1660.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5957)  all_54_15 = e0
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5957) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5958)  all_14_2 = e0
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5958) implies:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5959)  all_14_2 = e0
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (5959) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5960)   ~ (all_52_7 = e0)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5959) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5961)   ~ (all_52_11 = e0)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (5959) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5962)   ~ (all_52_13 = e0)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5652), (5959) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5963)   ~ (e3 = e0)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5949), (5959) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5964)   ~ (e2 = e0)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5650), (5959) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5965)   ~ (e1 = e0)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (5959) imply:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | |   (5966)  op(e0, e0) = e0
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |   (5967)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5967) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (5968)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5968) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5969)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (5969), (function-axioms) are
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5970)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (5669), (5920), (5970),
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1678.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (5971)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5971) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5972)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5649), (5972), (function-axioms) are inconsistent
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #798.
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5973)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5973) gives:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5974)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.52/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5974) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5975)  op(e1, e2) = e1
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5670), (5975), (function-axioms) are
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5976)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5976) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5977)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5977) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5978)  op(e1, e2) = e1
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5670), (5978), (function-axioms) are
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5979)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5979) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5980)  all_57_6 = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5981)   ~ (all_57_10 = e1)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5982)   ~ (all_57_7 = e2)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5983)  op(e2, e1) = all_57_7
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5984)  op(e3, e1) = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5985)  op(e3, e3) = all_57_10
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7, e1, e2, simplifying with (165), (5983)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5986)  all_57_7 = all_52_9
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (5984) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5987)  all_52_8 = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10, e3, e3, simplifying with (5649), (5985)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5988)  all_57_10 = e2
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5982), (5986) imply:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5989)   ~ (all_52_9 = e2)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (5987) imply:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5990)   ~ (all_52_9 = e3)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5990) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5991)   ~ (all_52_9 = e3)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (5987) imply:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5992)   ~ (all_52_11 = e3)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5992) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5993)   ~ (all_52_11 = e3)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5994)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5994) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5995)  all_56_4 = e3 & op(e3, e1) = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5995) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5996)  all_56_4 = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5997)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5640), (5920), (5997),
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #797.
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5998)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5998) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5999)  all_56_5 = e2 & op(e2, e1) = e2
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5999) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6000)  op(e2, e1) = e2
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5989), (6000), (function-axioms) are
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6001)  all_56_10 = e2 & op(e2, e0) = e2
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6001) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6002)  all_56_10 = e2
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6003)  op(e2, e0) = e2
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6004)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6004) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6005)  all_56_2 = e3 & op(e2, e3) = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6005) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6006)  all_56_2 = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6007)  op(e2, e3) = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6008)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6008) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6009)  all_56_2 = e0 & op(e2, e3) = e0
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6009) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6010)  all_56_2 = e0
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6006), (6010) are inconsistent by sub-proof
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1711.
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6011)  all_56_3 = e0 & op(e2, e2) = e0
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6011) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6012)  op(e2, e2) = e0
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5920), (6012), (function-axioms) are
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6013)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6013) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6014)  all_56_5 = e0 & op(e2, e1) = e0
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6014) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6015)  all_56_5 = e0
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6016)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6016) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6017)  all_56_9 = e3 & op(e3, e0) = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6017) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6018)  op(e3, e0) = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (5984), (6018),
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1912.
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6019)  all_56_10 = e3 & op(e2, e0) = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6019) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6020)  all_56_10 = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (223), (5920), (6007), (6015),
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6020), (function-axioms) are inconsistent by
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1166.
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6021)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6021) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6022)  all_56_11 = e3 & op(e1, e0) = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6022) implies:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6023)  all_56_11 = e3
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6024)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6024) gives:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6025)  all_56_6 = e2 & op(e1, e3) = e2
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (6025), (function-axioms) are
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6026)  all_56_7 = e2 & op(e1, e2) = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6026) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6027)  all_56_7 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6028)  all_54_14 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (5993), (6028) are inconsistent by
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1260.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6029)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6029) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6030)  all_54_14 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6030) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6031)  all_52_11 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6031) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6032)  all_52_11 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6032) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6033)   ~ (all_52_7 = e2)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6034)  all_54_13 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (6034) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6035)  all_52_7 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6035) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6036)  all_52_7 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6036) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6037)   ~ (all_52_4 = e3)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6036) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6038)   ~ (all_52_6 = e3)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6039)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6039) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6040)  all_56_0 = e0 & op(e3, e3) = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6040) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6041)  op(e3, e3) = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6041), (function-axioms) are
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6042)  all_56_1 = e0 & op(e3, e2) = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6042) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6043)  all_56_1 = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6044)  all_54_6 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6044) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6045)  all_52_9 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5991), (6045) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6046)  $false
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6046) is inconsistent.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6047)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6047) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6048)  all_54_6 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6048) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6049)  all_52_9 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5989), (6049) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6050)  $false
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6050) is inconsistent.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6051)   ~ (all_54_6 = e2)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6052)  all_54_6 = e1 | all_54_6 = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6053)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (5920), (6037), (6053),
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1347.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6054)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6054) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6055)  all_56_7 = e3 & op(e1, e2) = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6055) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6056)  op(e1, e2) = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6038), (6056), (function-axioms) are
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6057)  all_56_13 = e3 & op(e0, e2) = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6057) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6058)  all_56_13 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6052) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6059)  all_54_6 = e1
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (5672), (6059) are inconsistent by
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6060)  all_54_6 = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6060) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6061)  all_52_9 = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6061) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6062)  all_52_9 = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6062) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6063)   ~ (all_52_1 = e0)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (6062) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6064)   ~ (all_52_13 = e0)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6065)  all_54_4 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6065) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6066)  all_52_1 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6066) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6067)  all_52_1 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6067) imply:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6068)   ~ (all_52_2 = e3)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6068) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6069)   ~ (all_52_2 = e3)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6070)  all_54_8 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (6069), (6070) are inconsistent by
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6071)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6071) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6072)  all_54_8 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5641), (6072) are inconsistent by
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6073)  all_54_8 = e1 | all_54_8 = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6074)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6074) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6075)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6075) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6076)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (5920), (6037), (6076),
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1673.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6077)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5669), (5981), (5985), (6077),
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #794.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6078)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6078) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6079)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6079) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6080)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6080) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6081)  op(e3, e3) = e0
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6081), (function-axioms) are
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6082)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_1 & $i(all_57_1)))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6082) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6083)  op(e0, e0) = e3
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (5650), (5652), (5955), (6083),
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1647.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6084)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6084) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6085)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6085) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6086)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5980), (5981), (6086) are inconsistent by
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #935.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6087)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6087) implies:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6088)  op(e1, e2) = e1
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5670), (6088), (function-axioms) are
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6089)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6089) gives:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6090)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6090) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6091)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6091) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6092)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6092) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6093)  op(e2, e2) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (6043),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6058), (6093), (function-axioms) are inconsistent
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1308.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6094)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6094) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6095)  op(e2, e0) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5962), (6095), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6096)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (157), (160), (259), (5669), (5673),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6073), (6096), (function-axioms) are inconsistent
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #793.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6097)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6097) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6098)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6098) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6099)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6099) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6100)  op(e3, e3) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5932), (6006), (6100), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1217.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6101)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6101) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6102)  op(e2, e2) = e2
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (225),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (226), (228), (373), (5918), (6027), (6102),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1764.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6103)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6103) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6104)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6104) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6105)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5980), (5981), (6105) are inconsistent by
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #935.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6106)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6106) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6107)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6108)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6107) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6109)  all_57_12 = e0 & op(e2, e2) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6109) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6110)  op(e2, e2) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (6043),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6058), (6110), (function-axioms) are inconsistent
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1308.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6111)   ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6111) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6112)  op(e2, e0) = all_57_11
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6108) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6113)  all_57_10 = e0 & op(e3, e3) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6113) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6114)  op(e3, e3) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6114), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_11, e0, e2, simplifying with (6003), (6112)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6115)  all_57_11 = e2
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (5918), (6043), (6058),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6107), (6115), (function-axioms) are inconsistent
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1327.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6116)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (5943), (6063), (6116) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6117)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6117) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6118)  all_56_4 = e0 & op(e3, e1) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5996), (6118) are inconsistent by sub-proof
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #978.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6119)  all_56_9 = e0 & op(e3, e0) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6119) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6120)  all_56_9 = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5939), (6120) are inconsistent by sub-proof
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1030.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6121)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (5919), (5960), (6033), (6121) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1651.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6122)  all_54_14 = e1 | all_54_14 = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (5673), (5961), (6122) are inconsistent by
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1737.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6123)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6123) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6124)  all_56_8 = e2 & op(e1, e1) = e2
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6124) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6125)  op(e1, e1) = e2
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5677), (6125), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6126)  all_56_11 = e2 & op(e1, e0) = e2
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6126) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6127)  all_56_11 = e2
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6023), (6127) are inconsistent by sub-proof
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1619.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6128)  all_56_15 = e3 & op(e0, e0) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6128) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6129)  op(e0, e0) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (5650), (5652), (5955), (6129),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1647.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6130)  all_56_10 = e0 & op(e2, e0) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6130) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6131)  op(e2, e0) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5962), (6131), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6132)  all_56_3 = e3 & op(e2, e2) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6132) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6133)  op(e2, e2) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5920), (6133), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6134)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6134) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6135)  all_56_5 = e3 & op(e2, e1) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6135) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6136)  op(e2, e1) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5991), (6136), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6137)  all_56_10 = e3 & op(e2, e0) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6137) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6138)  all_56_10 = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6002), (6138) are inconsistent by sub-proof
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1399.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6139)  all_56_5 = e3 & op(e2, e1) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6139) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6140)  op(e2, e1) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5991), (6140), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6141)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6141) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6142)  all_56_8 = e3 & op(e1, e1) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6142) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6143)  op(e1, e1) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5677), (6143), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6144)  all_56_14 = e3 & op(e0, e1) = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6144) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6145)  all_56_14 = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6146)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5644), (5989), (6146),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #792.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6147)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5677), (6145), (6147),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1743.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |   (6148)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6148) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (6149)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6149) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6150)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5649), (5966), (6150),
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            #791.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6151)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6151) gives:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6152)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6152) implies:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6153)  op(e0, e0) = e1
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5966), (6153), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6154)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5677), (5920), (6154), (function-axioms) are
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1676.
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (6155)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6155) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6156)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6156), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6157)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6157) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6158)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6158) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6159)  op(e1, e1) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5677), (6159), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6160)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6160) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6161)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6161) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6162)  op(e1, e0) = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5674), (6162), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6163)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6163) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6164)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (5649), (5677), (5920),
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5960), (5961), (6164), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #789.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6165)  all_28_2 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (6165) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6166)  all_14_2 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | SIMP: (6166) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6167)  all_14_2 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (6167) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6168)   ~ (all_52_13 = e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (6167) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6169)  op(e0, e0) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |   (6170)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5640), (5920), (6170),
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |            #797.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |   (6171)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6171) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |   (6172)  all_56_5 = e2 & op(e2, e1) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6172) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |   (6173)  op(e2, e1) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (6173) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |   (6174)  all_52_9 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |   (6175)   ~ (all_44_2 = e1)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5917), (6175) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |   (6176)  $false
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6176) is inconsistent.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |   (6177)  ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = all_44_1 & $i(all_44_0) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_44_1)) | ( ~ (all_44_1 = e3) & op(e2, e1)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |             = all_44_1 & $i(all_44_1))
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6177) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |   (6178)   ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_44_1 & $i(all_44_0) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_44_1)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6178) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |   (6179)  op(e2, e1) = all_44_1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (117), (160), (162), (163),
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (238), (5640), (5649),
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |            (5669), (5670), (5674), (5677), (5915), (5920),
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |            (6169), (6173), (6179), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #785.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |   (6180)   ~ (all_44_1 = e3) & op(e2, e1) = all_44_1 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_44_1)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6180) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |   (6181)  op(e2, e1) = all_44_1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (117), (160), (162), (163),
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (238), (5640), (5649),
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |            (5669), (5670), (5674), (5677), (5915), (5920),
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |            (6169), (6173), (6181), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #785.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |   (6182)  all_56_10 = e2 & op(e2, e0) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6182) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |   (6183)  op(e2, e0) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6168), (6183), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | |   (6184)  all_54_10 = e0
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | COMBINE_EQS: (336), (6184) imply:
% 188.66/28.96  | | | | | | | | | | | | | |   (6185)  all_10_2 = e0
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | REDUCE: (5656), (6185) imply:
% 188.66/28.96  | | | | | | | | | | | | | |   (6186)  $false
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | CLOSE: (6186) is inconsistent.
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | |   (6187)  all_22_2 = e0
% 188.66/28.96  | | | | | | | | | | |   (6188)  ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 188.66/28.96  | | | | | | | | | | |             & op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.66/28.96  | | | | | | | | | | |             $i(all_22_1)) | ( ~ (all_22_1 = e3) & op(e1, e0)
% 188.66/28.96  | | | | | | | | | | |             = all_22_1 & $i(all_22_1))
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | COMBINE_EQS: (251), (6187) imply:
% 188.66/28.96  | | | | | | | | | | |   (6189)  all_10_2 = e0
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | COMBINE_EQS: (333), (6189) imply:
% 188.66/28.96  | | | | | | | | | | |   (6190)  all_38_2 = e0
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | REDUCE: (350), (6189) imply:
% 188.66/28.96  | | | | | | | | | | |   (6191)   ~ (all_52_2 = e0)
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | REDUCE: (366), (6189) imply:
% 188.66/28.96  | | | | | | | | | | |   (6192)   ~ (all_52_11 = e0)
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | REDUCE: (368), (6189) imply:
% 188.66/28.96  | | | | | | | | | | |   (6193)   ~ (all_52_14 = e0)
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | REDUCE: (5654), (6189) imply:
% 188.66/28.96  | | | | | | | | | | |   (6194)   ~ (e3 = e0)
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | REDUCE: (375), (6189) imply:
% 188.66/28.96  | | | | | | | | | | |   (6195)   ~ (e2 = e0)
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | REDUCE: (45), (6189) imply:
% 188.66/28.96  | | | | | | | | | | |   (6196)  op(e1, e1) = e0
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | BETA: splitting (67) gives:
% 188.66/28.96  | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | |   (6197)   ~ (all_24_2 = e1)
% 188.66/28.96  | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | REDUCE: (318), (6197) imply:
% 188.66/28.96  | | | | | | | | | | | |   (6198)   ~ (all_4_2 = e1)
% 188.66/28.96  | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | BETA: splitting (73) gives:
% 188.66/28.96  | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | |   (6199)   ~ (all_28_2 = e2)
% 188.66/28.96  | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | REDUCE: (330), (6199) imply:
% 188.66/28.96  | | | | | | | | | | | | |   (6200)   ~ (all_14_2 = e2)
% 188.66/28.96  | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | BETA: splitting (189) gives:
% 188.66/28.96  | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | |   (6201)  all_54_15 = e3
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | REF_CLOSE: (246), (5652), (6201) are inconsistent by
% 188.66/28.96  | | | | | | | | | | | | | |            sub-proof #1675.
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | |   (6202)   ~ (all_54_15 = e3)
% 188.66/28.96  | | | | | | | | | | | | | |   (6203)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | BETA: splitting (6203) gives:
% 188.66/28.96  | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | |   (6204)  all_54_15 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | REF_CLOSE: (246), (6200), (6204) are inconsistent by
% 188.66/28.96  | | | | | | | | | | | | | | |            sub-proof #1648.
% 188.66/28.96  | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | |   (6205)   ~ (all_54_15 = e2)
% 188.66/28.96  | | | | | | | | | | | | | | |   (6206)  all_54_15 = e1 | all_54_15 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | BETA: splitting (6206) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | |   (6207)  all_54_15 = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5650), (6207) are inconsistent by
% 188.66/28.96  | | | | | | | | | | | | | | | |            sub-proof #1660.
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | |   (6208)  all_54_15 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6208) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | |   (6209)  all_14_2 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | SIMP: (6209) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | |   (6210)  all_14_2 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | REDUCE: (351), (6210) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | |   (6211)   ~ (all_52_3 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | REDUCE: (370), (6210) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | |   (6212)   ~ (all_52_12 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | REDUCE: (5650), (6210) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | |   (6213)   ~ (e1 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | REDUCE: (51), (6210) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | |   (6214)  op(e0, e0) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | |   (6215)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | BETA: splitting (6215) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | |   (6216)  all_56_0 = e0 & op(e3, e3) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | ALPHA: (6216) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | |   (6217)  op(e3, e3) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6217), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | |   (6218)  all_56_1 = e0 & op(e3, e2) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | ALPHA: (6218) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | |   (6219)  all_56_1 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | |   (6220)  op(e3, e2) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | |   (6221)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | BETA: splitting (6221) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6222)  all_56_0 = e0 & op(e3, e3) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | ALPHA: (6222) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6223)  op(e3, e3) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6223), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6224)  all_56_2 = e0 & op(e2, e3) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | ALPHA: (6224) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6225)  all_56_2 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6226)  op(e2, e3) = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (6226) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6227)  all_52_1 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (6220) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6228)  all_52_4 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6227) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6229)   ~ (all_52_2 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6227) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6230)   ~ (all_52_3 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6227) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6231)   ~ (all_52_9 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | SIMP: (6231) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6232)   ~ (all_52_9 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6227) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6233)   ~ (all_52_13 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | SIMP: (6233) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6234)   ~ (all_52_13 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6228) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6235)   ~ (all_52_7 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | SIMP: (6235) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6236)   ~ (all_52_7 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6228) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6237)   ~ (all_52_12 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (6228) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6238)   ~ (all_4_2 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | SIMP: (6238) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | |   (6239)   ~ (all_4_2 = e0)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |   (6240)   ~ (all_46_2 = e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | REDUCE: (5639), (6240) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |   (6241)  $false
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | CLOSE: (6241) is inconsistent.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |   (6242)  ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |             $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e3, e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | |             = all_46_1 & $i(all_46_1))
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |   (6243)  all_54_5 = e3
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6243) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |   (6244)  all_4_2 = e3
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6244) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |   (6245)  $false
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6245) is inconsistent.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |   (6246)   ~ (all_54_5 = e3)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | |   (6247)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6247) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |   (6248)  all_54_5 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6248) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |   (6249)  all_4_2 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (6249) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |   (6250)   ~ (all_52_9 = e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6249) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |   (6251)   ~ (e3 = e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6249) imply:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | |   (6252)  op(e2, e2) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |   (6253)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6253) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (6254)  all_56_6 = e2 & op(e1, e3) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (6254), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (6255)  all_56_7 = e2 & op(e1, e2) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6255) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (6256)  all_56_7 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (6257)  op(e1, e2) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6258)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6258) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6259)  all_56_1 = e1 & op(e3, e2) = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6259) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6260)  all_56_1 = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6219), (6260) are inconsistent by sub-proof
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1628.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6261)  all_56_3 = e1 & op(e2, e2) = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6261) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6262)  op(e2, e2) = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6252), (6262), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6263)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6263) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6264)  all_56_7 = e1 & op(e1, e2) = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6264) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6265)  op(e1, e2) = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6257), (6265), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6266)  all_56_13 = e1 & op(e0, e2) = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6266) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6267)  all_56_13 = e1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (225), (228),
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (6252), (6256), (6267), (function-axioms)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1863.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |   (6268)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6268) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (6269)  all_56_8 = e2 & op(e1, e1) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6269) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (6270)  op(e1, e1) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6196), (6270), (function-axioms) are
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (6271)  all_56_11 = e2 & op(e1, e0) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6271) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (6272)  all_56_11 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (6273)  op(e1, e0) = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6242) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6274)   ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_46_1)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6274) implies:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6275)   ~ (all_46_0 = e1)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6276)  op(e3, e2) = all_46_1
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6277)  op(all_46_1, e3) = all_46_0
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6278)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (5644), (6250), (6278),
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #792.
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6279)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6279) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6280)  all_56_8 = e2 & op(e1, e1) = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6280) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6281)  op(e1, e1) = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6196), (6281), (function-axioms) are
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6282)  all_56_14 = e2 & op(e0, e1) = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6282) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6283)  all_56_14 = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6284)  op(e0, e1) = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5637) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6285)   ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_12_1 & $i(all_12_0) &
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_12_1)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6285) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6286)  op(e3, e2) = all_12_1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6287)  op(all_12_1, e3) = all_12_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, e0, simplifying with (157), (6284) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6288)  all_52_11 = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e1, simplifying with (160), (6273) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6289)  all_52_14 = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (6220), (6276) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6290)  all_46_1 = e0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_46_1, e2, e3, simplifying with (6276), (6286)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6291)  all_46_1 = all_12_1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6290), (6291) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6292)  all_12_1 = e0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6288) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6293)   ~ (all_52_7 = e2)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6289) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6294)   ~ (all_52_13 = e2)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6277), (6290) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6295)  op(e0, e3) = all_46_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6287), (6292) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6296)  op(e0, e3) = all_12_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6297)   ~ (all_38_2 = e0)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6190), (6297) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6298)  $false
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6298) is inconsistent.
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6299)  ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_38_1)) | ( ~ (all_38_1 = e2) & op(e1, e0)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_38_1 & $i(all_38_1))
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6299) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6300)   ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 &
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_1)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6300) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6301)   ~ (all_38_0 = e3)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6302)  op(e1, e0) = all_38_1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6303)  op(all_38_1, e1) = all_38_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6188) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6304)   ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 &
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_1)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6304) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6305)  op(e1, e0) = all_22_1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_12_0, e3, e0, simplifying with (159), (6296)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6306)  all_52_3 = all_12_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_46_0, e3, e0, simplifying with (159), (6295)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6307)  all_52_3 = all_46_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (6273), (6302) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6308)  all_38_1 = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, e0, e1, simplifying with (6302), (6305)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6309)  all_38_1 = all_22_1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6306), (6307) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6310)  all_46_0 = all_12_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6310) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6311)  all_46_0 = all_12_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6308), (6309) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6312)  all_22_1 = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (6306) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6313)  all_54_12 = all_12_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6306) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6314)   ~ (all_52_7 = all_12_0)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6314) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6315)   ~ (all_52_7 = all_12_0)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5642), (6306) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6316)   ~ (all_12_0 = e2)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6211), (6306) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6317)   ~ (all_12_0 = e0)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6275), (6311) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6318)   ~ (all_12_0 = e1)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6303), (6308) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6319)  op(e2, e1) = all_38_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6320)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6320) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6321)  all_56_12 = e1 & op(e0, e3) = e1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (51), (158), (192), (209), (246),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5650), (5652), (6206), (6283), (6313), (6315),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6316), (6317), (6318), (6321), (function-axioms)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #780.
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6322)  all_56_13 = e1 & op(e0, e2) = e1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6322) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6323)  all_56_13 = e1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (118),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (123), (128), (139), (157), (158), (159),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (168),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (191), (192), (198), (206), (207), (209),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (218), (220), (225), (228),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (233), (238), (239), (246), (248),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (261), (268), (349), (373), (5645), (5649),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5650), (5652), (6191), (6192), (6193), (6196),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6198), (6206), (6211), (6212), (6214), (6219),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6225), (6232), (6234), (6236), (6239), (6247),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6250), (6252), (6272), (6283), (6293), (6294),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6301), (6313), (6315), (6316), (6317), (6318),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6319), (6323), (function-axioms) are inconsistent
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #769.
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6324)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6214), (6283), (6324),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1595.
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6325)   ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 &
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_1)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6325) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6326)   ~ (all_22_1 = e3)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6327)  op(e1, e0) = all_22_1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_12_0, e3, e0, simplifying with (159), (6296)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6328)  all_52_3 = all_12_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_46_0, e3, e0, simplifying with (159), (6295)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6329)  all_52_3 = all_46_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (6273), (6302) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6330)  all_38_1 = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, e0, e1, simplifying with (6302), (6327)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6331)  all_38_1 = all_22_1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6328), (6329) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6332)  all_46_0 = all_12_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6332) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6333)  all_46_0 = all_12_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6330), (6331) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6334)  all_22_1 = e2
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (6328) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6335)  all_54_12 = all_12_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6328) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6336)   ~ (all_52_7 = all_12_0)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6336) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6337)   ~ (all_52_7 = all_12_0)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5642), (6328) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6338)   ~ (all_12_0 = e2)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6211), (6328) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6339)   ~ (all_12_0 = e0)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6275), (6333) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6340)   ~ (all_12_0 = e1)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6303), (6330) imply:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6341)  op(e2, e1) = all_38_0
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6342)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6342) gives:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6343)  all_56_12 = e1 & op(e0, e3) = e1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (51), (158), (192), (209), (246),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5650), (5652), (6206), (6283), (6335), (6337),
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6338), (6339), (6340), (6343), (function-axioms)
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #780.
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6344)  all_56_13 = e1 & op(e0, e2) = e1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6344) implies:
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6345)  all_56_13 = e1
% 188.66/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (118),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (123), (128), (139), (157), (158), (159),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (168),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (191), (192), (198), (206), (207), (209),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (218), (220), (225), (228),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (233), (238), (239), (246), (248),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (261), (268), (349), (373), (5645), (5649),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5650), (5652), (6191), (6192), (6193), (6196),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6198), (6206), (6211), (6212), (6214), (6219),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6225), (6232), (6234), (6236), (6239), (6247),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6250), (6252), (6272), (6283), (6293), (6294),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6301), (6335), (6337), (6338), (6339), (6340),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6341), (6345), (function-axioms) are inconsistent
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #769.
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6346)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6214), (6283), (6346),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1595.
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6347)   ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 &
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_1)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6273), (6347), (function-axioms) are inconsistent
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #768.
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6348)   ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_12_1)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6348) implies:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6349)   ~ (all_12_1 = e1)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6350)  op(e3, e2) = all_12_1
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, e0, simplifying with (157), (6284) gives:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6351)  all_52_11 = e2
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e1, simplifying with (160), (6273) gives:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6352)  all_52_14 = e2
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (6220), (6276) gives:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6353)  all_46_1 = e0
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_46_1, e2, e3, simplifying with (6276), (6350)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6354)  all_46_1 = all_12_1
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6353), (6354) imply:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6355)  all_12_1 = e0
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6351) imply:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6356)   ~ (all_52_7 = e2)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6352) imply:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6357)   ~ (all_52_13 = e2)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6277), (6353) imply:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6358)  op(e0, e3) = all_46_0
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6359)   ~ (all_38_2 = e0)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6190), (6359) imply:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6360)  $false
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6360) is inconsistent.
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6361)  ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_38_1)) | ( ~ (all_38_1 = e2) & op(e1, e0)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_38_1 & $i(all_38_1))
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6361) gives:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6362)   ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 &
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_1)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6362) implies:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6363)   ~ (all_38_0 = e3)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6364)  op(e1, e0) = all_38_1
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6365)  op(all_38_1, e1) = all_38_0
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6188) gives:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6366)   ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 &
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_1)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6366) implies:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6367)  op(e1, e0) = all_22_1
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (118),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (123), (128), (139), (140), (157), (158),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (191), (192), (198), (206), (207),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (214), (215), (216), (218), (220), (225),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (231), (233), (238), (239), (246),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (248), (249), (261), (268), (349), (373), (5642),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5645), (5649), (5650), (5652), (6191), (6192),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6193), (6196), (6198), (6206), (6211), (6212),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6214), (6219), (6225), (6232), (6234), (6236),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6239), (6247), (6250), (6252), (6272), (6273),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6275), (6283), (6356), (6357), (6358), (6363),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6364), (6365), (6367), (function-axioms) are
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #766.
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6368)   ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 &
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_1)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6368) implies:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6369)  op(e1, e0) = all_22_1
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (118),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (123), (128), (139), (140), (157), (158),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (191), (192), (198), (206), (207),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (214), (215), (216), (218), (220), (225),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (231), (233), (238), (239), (246),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (248), (249), (261), (268), (349), (373), (5642),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5645), (5649), (5650), (5652), (6191), (6192),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6193), (6196), (6198), (6206), (6211), (6212),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6214), (6219), (6225), (6232), (6234), (6236),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6239), (6247), (6250), (6252), (6272), (6273),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6275), (6283), (6356), (6357), (6358), (6363),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6364), (6365), (6369), (function-axioms) are
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #766.
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6370)   ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 &
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_1)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6273), (6370), (function-axioms) are inconsistent
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #768.
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6371)   ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_46_1)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5637), (6220), (6371), (function-axioms) are
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #764.
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | |   (6372)  all_54_5 = e1 | all_54_5 = e0
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (6198), (6239), (6372) are inconsistent by
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1941.
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | |   (6373)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.73/28.97  | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (6191), (6211), (6373),
% 188.73/28.97  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.97  | | | | | | | | | | | | | | | | | | |            #1767.
% 188.73/28.97  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | |   (6374)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.73/28.97  | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 188.73/28.97  | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (218), (219),
% 188.73/28.97  | | | | | | | | | | | | | | | | |            (220), (6196), (6212), (6374), (function-axioms)
% 188.73/28.97  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1639.
% 188.73/28.97  | | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | | End of split
% 188.73/28.97  | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | Case 2:
% 188.73/28.97  | | | | | | | | | | | | | 
% 188.73/28.97  | | | | | | | | | | | | |   (6375)  all_28_2 = e2
% 188.73/28.98  | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | COMBINE_EQS: (330), (6375) imply:
% 188.73/28.98  | | | | | | | | | | | | |   (6376)  all_14_2 = e2
% 188.73/28.98  | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | SIMP: (6376) implies:
% 188.73/28.98  | | | | | | | | | | | | |   (6377)  all_14_2 = e2
% 188.73/28.98  | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | REDUCE: (369), (6377) imply:
% 188.73/28.98  | | | | | | | | | | | | |   (6378)   ~ (all_52_11 = e2)
% 188.73/28.98  | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | REDUCE: (372), (6377) imply:
% 188.73/28.98  | | | | | | | | | | | | |   (6379)   ~ (all_52_14 = e2)
% 188.73/28.98  | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | REDUCE: (5652), (6377) imply:
% 188.73/28.98  | | | | | | | | | | | | |   (6380)   ~ (e3 = e2)
% 188.73/28.98  | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | REDUCE: (51), (6377) imply:
% 188.73/28.98  | | | | | | | | | | | | |   (6381)  op(e0, e0) = e2
% 188.73/28.98  | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.73/28.98  | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | |   (6382)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.73/28.98  | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 188.73/28.98  | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | BETA: splitting (6382) gives:
% 188.73/28.98  | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | |   (6383)  all_56_6 = e2 & op(e1, e3) = e2
% 188.73/28.98  | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (6383), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 188.73/28.98  | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | |   (6384)  all_56_7 = e2 & op(e1, e2) = e2
% 188.73/28.98  | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | ALPHA: (6384) implies:
% 188.73/28.98  | | | | | | | | | | | | | | |   (6385)  op(e1, e2) = e2
% 188.73/28.98  | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | |   (6386)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.73/28.98  | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.73/28.98  | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | BETA: splitting (6386) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | |   (6387)  all_56_4 = e2 & op(e3, e1) = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5644), (6387), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | |   (6388)  all_56_5 = e2 & op(e2, e1) = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | ALPHA: (6388) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | |   (6389)  op(e2, e1) = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 188.73/28.98  | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (6385) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | |   (6390)  all_52_6 = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 188.73/28.98  | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (6389) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | |   (6391)  all_52_9 = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | REDUCE: (358), (6391) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | |   (6392)   ~ (all_4_2 = e2)
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | SIMP: (6392) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | |   (6393)   ~ (all_4_2 = e2)
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | |   (6394)  all_54_5 = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6394) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | |   (6395)  all_4_2 = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | REDUCE: (373), (6395) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | |   (6396)  $false
% 188.73/28.98  | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | CLOSE: (6396) is inconsistent.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | |   (6397)   ~ (all_54_5 = e3)
% 188.73/28.98  | | | | | | | | | | | | | | | | | |   (6398)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | BETA: splitting (6398) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | |   (6399)  all_54_5 = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6399) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | |   (6400)  all_4_2 = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | REDUCE: (6393), (6400) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | |   (6401)  $false
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | CLOSE: (6401) is inconsistent.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | |   (6402)   ~ (all_54_5 = e2)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | |   (6403)  all_54_5 = e1 | all_54_5 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | BETA: splitting (6403) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | |   (6404)  all_54_5 = e1
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6404) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | |   (6405)  all_4_2 = e1
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | REDUCE: (6198), (6405) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | |   (6406)  $false
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | CLOSE: (6406) is inconsistent.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | |   (6407)  all_54_5 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6407) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | |   (6408)  all_4_2 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (6408) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | |   (6409)   ~ (all_52_7 = e0)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | REDUCE: (6198), (6408) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | |   (6410)   ~ (e1 = e0)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6408) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | |   (6411)  op(e2, e2) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | |   (6412)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6412) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |   (6413)  all_56_0 = e0 & op(e3, e3) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6413) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |   (6414)  op(e3, e3) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6414), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |   (6415)  all_56_1 = e0 & op(e3, e2) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6415) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |   (6416)  all_56_1 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |   (6417)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (6416), (6417),
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |            #1928.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |   (6418)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6418) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6419)  all_56_7 = e3 & op(e1, e2) = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6419) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6420)  op(e1, e2) = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6385), (6420), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #823.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6421)  all_56_13 = e3 & op(e0, e2) = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6421) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6422)  all_56_13 = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (6411),
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |            (6416), (6422), (function-axioms) are inconsistent
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1308.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | |   (6423)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6423) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |   (6424)  all_56_4 = e0 & op(e3, e1) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6424) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |   (6425)  all_56_4 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |            (6196), (6425), (function-axioms) are inconsistent
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1809.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |   (6426)  all_56_9 = e0 & op(e3, e0) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6426) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | |   (6427)  op(e3, e0) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |   (6428)  all_56_15 = e0 & op(e0, e0) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6428) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |   (6429)  op(e0, e0) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6381), (6429), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |   (6430)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6430) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |   (6431)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6431) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6432)  all_56_12 = e0 & op(e0, e3) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6432) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6433)  op(e0, e3) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (6433) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6434)  all_52_3 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e3, simplifying with (168), (6427) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6435)  all_52_12 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6434) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6436)   ~ (all_52_7 = e0)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6434) imply:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6437)   ~ (all_52_11 = e0)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6438)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6438) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6439)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6439) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6440)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (6440), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6441)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (6433), (6441), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1022.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6442)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6442) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6443)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5649), (6443), (function-axioms) are inconsistent
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #798.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6444)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6444) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6445)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6445) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6446)  op(e1, e2) = e1
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6385), (6446), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6447)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6447) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6448)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6448) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6449)  op(e1, e2) = e1
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6385), (6449), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6450)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_10)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6450) implies:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6451)  op(e2, e2) = e1
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6411), (6451), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6452)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6452) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6453)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6453) gives:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6454)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (6381), (6454), (function-axioms) are
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #811.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6455)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (6381), (6427), (6455),
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #995.
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6456)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6456) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6457)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6457), (function-axioms) are
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6458)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6458) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6459)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6459) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6460)  op(e2, e0) = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (6389), (6460),
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6461)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6461) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6462)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6462) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6463)   ~ (all_57_14 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6464)  op(e1, e1) = all_57_14
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6196), (6463), (6464), (function-axioms) are
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6465)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6465) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6466)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (157), (158), (373),
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6192), (6196), (6409), (6411), (6466),
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #762.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | |   (6467)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6467) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (6468)  all_56_13 = e0 & op(e0, e2) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6468) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (6469)  op(e0, e2) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6409), (6469), (function-axioms) are
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (6470)  all_56_14 = e0 & op(e0, e1) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6470) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (6471)  op(e0, e1) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (6192), (6471), (function-axioms) are
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6472)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.73/28.99  | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (6196), (6378), (6472),
% 188.73/28.99  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.99  | | | | | | | | | | | | | | | |            #761.
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | |   (6473)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.73/28.99  | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (6196), (6379), (6473),
% 188.73/28.99  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.99  | | | | | | | | | | | | | |            #759.
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | |   (6474)  all_24_2 = e1
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | COMBINE_EQS: (318), (6474) imply:
% 188.73/28.99  | | | | | | | | | | | |   (6475)  all_4_2 = e1
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | SIMP: (6475) implies:
% 188.73/28.99  | | | | | | | | | | | |   (6476)  all_4_2 = e1
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | REDUCE: (352), (6476) imply:
% 188.73/28.99  | | | | | | | | | | | |   (6477)   ~ (all_52_4 = e1)
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | REDUCE: (354), (6476) imply:
% 188.73/28.99  | | | | | | | | | | | |   (6478)   ~ (all_52_6 = e1)
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | REDUCE: (356), (6476) imply:
% 188.73/28.99  | | | | | | | | | | | |   (6479)   ~ (all_52_7 = e1)
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | REDUCE: (373), (6476) imply:
% 188.73/28.99  | | | | | | | | | | | |   (6480)   ~ (e3 = e1)
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | REDUCE: (36), (6476) imply:
% 188.73/28.99  | | | | | | | | | | | |   (6481)  op(e2, e2) = e1
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (73),
% 188.73/28.99  | | | | | | | | | | | |            (100), (112), (117), (120), (121), (125), (134),
% 188.73/28.99  | | | | | | | | | | | |            (135), (139), (140), (144), (148), (157), (158),
% 188.73/28.99  | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 188.73/28.99  | | | | | | | | | | | |            (168), (169), (170), (189), (190), (191), (192),
% 188.73/28.99  | | | | | | | | | | | |            (193), (202), (207), (214), (215), (216), (218),
% 188.73/28.99  | | | | | | | | | | | |            (219), (220), (221), (225), (226), (227), (228),
% 188.73/28.99  | | | | | | | | | | | |            (231), (235), (238), (246), (247), (248), (249),
% 188.73/28.99  | | | | | | | | | | | |            (250), (271), (330), (362), (369), (371), (372),
% 188.73/28.99  | | | | | | | | | | | |            (373), (5637), (5639), (5640), (5641), (5642),
% 188.73/28.99  | | | | | | | | | | | |            (5643), (5644), (5649), (5650), (5652), (6192),
% 188.73/28.99  | | | | | | | | | | | |            (6193), (6196), (6477), (6478), (6479), (6481),
% 188.73/28.99  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.99  | | | | | | | | | | | |            #745.
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | |   (6482)  all_20_2 = e3
% 188.73/28.99  | | | | | | | | | |   (6483)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0
% 188.73/28.99  | | | | | | | | | |             & op(e1, e3) = all_20_1 & $i(all_20_0) &
% 188.73/28.99  | | | | | | | | | |             $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1, e3)
% 188.73/28.99  | | | | | | | | | |             = all_20_1 & $i(all_20_1))
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | COMBINE_EQS: (325), (6482) imply:
% 188.73/28.99  | | | | | | | | | |   (6484)  all_10_2 = e3
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | SIMP: (6484) implies:
% 188.73/28.99  | | | | | | | | | |   (6485)  all_10_2 = e3
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | COMBINE_EQS: (331), (6485) imply:
% 188.73/28.99  | | | | | | | | | |   (6486)  all_30_2 = e3
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | REDUCE: (350), (6485) imply:
% 188.73/28.99  | | | | | | | | | |   (6487)   ~ (all_52_2 = e3)
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | REDUCE: (361), (6485) imply:
% 188.73/28.99  | | | | | | | | | |   (6488)   ~ (all_52_6 = e3)
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | REDUCE: (363), (6485) imply:
% 188.73/28.99  | | | | | | | | | |   (6489)   ~ (all_52_8 = e3)
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | REDUCE: (364), (6485) imply:
% 188.73/28.99  | | | | | | | | | |   (6490)   ~ (all_52_9 = e3)
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | REDUCE: (366), (6485) imply:
% 188.73/28.99  | | | | | | | | | |   (6491)   ~ (all_52_11 = e3)
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | REDUCE: (368), (6485) imply:
% 188.73/28.99  | | | | | | | | | |   (6492)   ~ (all_52_14 = e3)
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | REDUCE: (45), (6485) imply:
% 188.73/28.99  | | | | | | | | | |   (6493)  op(e1, e1) = e3
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | BETA: splitting (67) gives:
% 188.73/28.99  | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | |   (6494)   ~ (all_24_2 = e1)
% 188.73/28.99  | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | REDUCE: (318), (6494) imply:
% 188.73/28.99  | | | | | | | | | | |   (6495)   ~ (all_4_2 = e1)
% 188.73/28.99  | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | BETA: splitting (76) gives:
% 188.73/28.99  | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | |   (6496)   ~ (all_30_2 = e3)
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | REDUCE: (6486), (6496) imply:
% 188.73/28.99  | | | | | | | | | | | |   (6497)  $false
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | CLOSE: (6497) is inconsistent.
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | |   (6498)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 188.73/28.99  | | | | | | | | | | | |             & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 188.73/28.99  | | | | | | | | | | | |             $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 188.73/28.99  | | | | | | | | | | | |             = all_30_1 & $i(all_30_1))
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | BETA: splitting (73) gives:
% 188.73/28.99  | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | |   (6499)   ~ (all_28_2 = e2)
% 188.73/28.99  | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | REDUCE: (330), (6499) imply:
% 188.73/28.99  | | | | | | | | | | | | |   (6500)   ~ (all_14_2 = e2)
% 188.73/28.99  | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | BETA: splitting (189) gives:
% 188.73/28.99  | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | |   (6501)  all_54_15 = e3
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | COMBINE_EQS: (246), (6501) imply:
% 188.73/28.99  | | | | | | | | | | | | | |   (6502)  all_14_2 = e3
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | REDUCE: (5652), (6502) imply:
% 188.73/28.99  | | | | | | | | | | | | | |   (6503)  $false
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | CLOSE: (6503) is inconsistent.
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | |   (6504)   ~ (all_54_15 = e3)
% 188.73/28.99  | | | | | | | | | | | | | |   (6505)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | BETA: splitting (6505) gives:
% 188.73/28.99  | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | |   (6506)  all_54_15 = e2
% 188.73/28.99  | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6506) imply:
% 188.73/28.99  | | | | | | | | | | | | | | |   (6507)  all_14_2 = e2
% 188.73/28.99  | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | REDUCE: (6500), (6507) imply:
% 188.73/28.99  | | | | | | | | | | | | | | |   (6508)  $false
% 188.73/28.99  | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | CLOSE: (6508) is inconsistent.
% 188.73/28.99  | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | |   (6509)   ~ (all_54_15 = e2)
% 188.73/28.99  | | | | | | | | | | | | | | |   (6510)  all_54_15 = e1 | all_54_15 = e0
% 188.73/28.99  | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | BETA: splitting (6510) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6511)  all_54_15 = e1
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6511) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6512)  all_14_2 = e1
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (5650), (6512) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6513)  $false
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | CLOSE: (6513) is inconsistent.
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6514)  all_54_15 = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6514) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6515)  all_14_2 = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (351), (6515) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6516)   ~ (all_52_3 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (362), (6515) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6517)   ~ (all_52_7 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (369), (6515) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6518)   ~ (all_52_11 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (370), (6515) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6519)   ~ (all_52_12 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (371), (6515) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6520)   ~ (all_52_13 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (372), (6515) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6521)   ~ (all_52_14 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (5652), (6515) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6522)   ~ (e3 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (6500), (6515) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6523)   ~ (e2 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (5650), (6515) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6524)   ~ (e1 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | REDUCE: (51), (6515) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | |   (6525)  op(e0, e0) = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | |   (6526)   ~ (all_32_2 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | REDUCE: (314), (6526) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | | |   (6527)   ~ (all_4_2 = e0)
% 188.73/28.99  | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | |   (6528)  all_54_5 = e3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6528) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | | | |   (6529)  all_4_2 = e3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | REDUCE: (373), (6529) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | | | |   (6530)  $false
% 188.73/28.99  | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | CLOSE: (6530) is inconsistent.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | |   (6531)   ~ (all_54_5 = e3)
% 188.73/28.99  | | | | | | | | | | | | | | | | | |   (6532)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.73/28.99  | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | BETA: splitting (6532) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | |   (6533)  all_54_5 = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6533) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | |   (6534)  all_4_2 = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | REDUCE: (354), (6534) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | |   (6535)   ~ (all_52_6 = e2)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | REDUCE: (360), (6534) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | |   (6536)   ~ (all_52_13 = e2)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6534) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | |   (6537)   ~ (e3 = e2)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6534) imply:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | |   (6538)  op(e2, e2) = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | |   (6539)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6539) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | |   (6540)  all_56_6 = e2 & op(e1, e3) = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (6540), (function-axioms) are
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | |   (6541)  all_56_7 = e2 & op(e1, e2) = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6541) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | |   (6542)  all_56_7 = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | |   (6543)  op(e1, e2) = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | |   (6544)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6544) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | |   (6545)  all_56_12 = e2 & op(e0, e3) = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6545) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | |   (6546)  all_56_12 = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (229),
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (5649), (6487), (6516), (6546),
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | |            #740.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | |   (6547)  all_56_13 = e2 & op(e0, e2) = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6547) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | |   (6548)  all_56_13 = e2
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | |   (6549)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6549) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (6550)  all_56_1 = e1 & op(e3, e2) = e1
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6550) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (6551)  op(e3, e2) = e1
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6552)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (6551), (6552),
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            #738.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6553)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6553) gives:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6554)  all_56_7 = e3 & op(e1, e2) = e3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6554) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6555)  op(e1, e2) = e3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6543), (6555), (function-axioms) are
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #823.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6556)  all_56_13 = e3 & op(e0, e2) = e3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6556) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6557)  all_56_13 = e3
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6548), (6557) are inconsistent by sub-proof
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1541.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (6558)  all_56_3 = e1 & op(e2, e2) = e1
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6558) implies:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (6559)  op(e2, e2) = e1
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6495), (6559), (function-axioms) are
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | |   (6560)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 188.73/28.99  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6560) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6561)  all_56_7 = e1 & op(e1, e2) = e1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6542), (6561) are inconsistent by sub-proof
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            #1765.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6562)  all_56_13 = e1 & op(e0, e2) = e1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6548), (6562) are inconsistent by sub-proof
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            #1205.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |   (6563)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6563) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6564)  all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6564) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6565)  op(e0, e1) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |   (6566)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5645), (6536), (6566),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |            #736.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |   (6567)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6567) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6568)  all_56_11 = e2 & op(e1, e0) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6568) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6569)  op(e1, e0) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (113), (117),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (121), (141), (143), (157), (158), (159),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (168),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (196), (197), (199), (202), (214),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (238), (239), (259), (260), (268), (271),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (358), (360), (373), (5649), (6487),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (6488), (6489), (6492), (6493), (6495), (6516),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (6517), (6518), (6520), (6521), (6525), (6527),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (6532), (6535), (6536), (6538), (6565), (6569),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            #729.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6570)  all_56_15 = e2 & op(e0, e0) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6570) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6571)  op(e0, e0) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6525), (6571), (function-axioms) are
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6572)  all_56_15 = e2 & op(e0, e0) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6572) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6573)  op(e0, e0) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6525), (6573), (function-axioms) are
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |   (6574)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6574) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6575)  all_56_8 = e2 & op(e1, e1) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6575) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6576)  op(e1, e1) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6493), (6576), (function-axioms) are
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6577)  all_56_11 = e2 & op(e1, e0) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6577) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6578)  op(e1, e0) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |   (6579)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6579) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6580)  all_56_12 = e2 & op(e0, e3) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6580) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6581)  all_56_12 = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (229),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (5649), (6487), (6516), (6581),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            #740.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6582)  all_56_13 = e2 & op(e0, e2) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6582) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6583)  all_56_13 = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (162),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (225), (226), (228), (373), (6488), (6517),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (6538), (6583), (function-axioms) are inconsistent
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #726.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |   (6584)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6584) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6585)  all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6585) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6586)  op(e0, e1) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (113), (117),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (120), (121), (141), (143), (157), (158), (159),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (168),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (196), (197), (199), (202), (214),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (236), (238), (239), (259), (260), (268), (271),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (349), (358), (360), (373), (5649), (6487),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (6488), (6489), (6492), (6493), (6495), (6516),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (6517), (6518), (6520), (6521), (6525), (6527),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (6532), (6535), (6536), (6538), (6578), (6586),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            #729.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6587)  all_56_15 = e2 & op(e0, e0) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6587) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6588)  op(e0, e0) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6525), (6588), (function-axioms) are
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | |   (6589)  all_54_5 = e1 | all_54_5 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (6495), (6527), (6589) are inconsistent by
% 188.73/29.00  | | | | | | | | | | | | | | | | | | |            sub-proof #1941.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | |   (6590)  all_32_2 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (6590) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | |   (6591)  all_4_2 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (6591) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | |   (6592)  all_36_2 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | REDUCE: (36), (6591) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | |   (6593)  op(e2, e2) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | |   (6594)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | BETA: splitting (6594) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | |   (6595)  all_56_0 = e0 & op(e3, e3) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | ALPHA: (6595) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | |   (6596)  op(e3, e3) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6596), (function-axioms) are
% 188.73/29.00  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | |   (6597)  all_56_1 = e0 & op(e3, e2) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | ALPHA: (6597) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | |   (6598)  all_56_1 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |   (6599)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (6598), (6599),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |            #1928.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |   (6600)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6600) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6601)  all_56_7 = e3 & op(e1, e2) = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6601) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6602)  op(e1, e2) = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6488), (6602), (function-axioms) are
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6603)  all_56_13 = e3 & op(e0, e2) = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6603) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6604)  all_56_13 = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (226), (227), (6593),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |            (6598), (6604), (function-axioms) are inconsistent
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1308.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | |   (6605)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | BETA: splitting (6605) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | |   (6606)  all_56_4 = e0 & op(e3, e1) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | ALPHA: (6606) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | |   (6607)  all_56_4 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | |   (6608)  op(e3, e1) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |   (6609)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6609) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6610)  all_56_0 = e0 & op(e3, e3) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6610) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6611)  op(e3, e3) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (6611), (function-axioms) are
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6612)  all_56_2 = e0 & op(e2, e3) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6612) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6613)  all_56_2 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |   (6614)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (5649), (6613), (6614),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |            #743.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |   (6615)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6615) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6616)  all_56_6 = e3 & op(e1, e3) = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6616) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6617)  op(e1, e3) = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6487), (6617), (function-axioms) are
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6618)  all_56_12 = e3 & op(e0, e3) = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6618) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6619)  all_56_12 = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |   (6620)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (229), (231),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |            (373), (5649), (6619), (6620), (function-axioms)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #724.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |   (6621)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6621) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6622)  all_56_5 = e3 & op(e2, e1) = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6622) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6623)  all_56_5 = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (6592), (6593), (6613),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (6623), (function-axioms) are inconsistent by
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1701.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6624)  all_56_10 = e3 & op(e2, e0) = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6624) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6625)  all_56_10 = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (6592), (6593), (6613),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            (6625), (function-axioms) are inconsistent by
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #723.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |   (6626)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6626) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6627)  all_56_6 = e0 & op(e1, e3) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6627) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6628)  all_56_6 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6629)  op(e1, e3) = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (6629) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6630)  all_52_2 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (6608) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6631)  all_52_8 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6630) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6632)   ~ (all_52_1 = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (6630) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6633)   ~ (all_52_3 = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (6630) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6634)   ~ (all_52_6 = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | SIMP: (6634) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6635)   ~ (all_52_6 = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6630) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6636)   ~ (all_52_14 = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6631) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6637)   ~ (all_52_4 = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (6631) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6638)   ~ (all_52_9 = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | SIMP: (6638) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6639)   ~ (all_52_9 = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6631) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | |   (6640)   ~ (all_52_11 = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6498) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |   (6641)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |           op(e1, e3) = all_30_1 & $i(all_30_0) &
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6641) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |   (6642)   ~ (all_30_0 = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |   (6643)  op(e1, e3) = all_30_1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | |   (6644)  op(all_30_1, e1) = all_30_0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6483) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6645)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e3) = all_20_1 & $i(all_20_0) &
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_20_1)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6645) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6646)  op(e1, e3) = all_20_1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6647)  op(all_20_1, e1) = all_20_0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (6629), (6643) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6648)  all_30_1 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e1, simplifying with (6643), (6646)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6649)  all_30_1 = all_20_1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6648), (6649) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6650)  all_20_1 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6644), (6648) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6651)  op(e0, e1) = all_30_0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6647), (6650) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6652)  op(e0, e1) = all_20_0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |              all_20_0, e1, e0, simplifying with (157), (6652)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6653)  all_52_11 = all_20_0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |              all_30_0, e1, e0, simplifying with (157), (6651)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6654)  all_52_11 = all_30_0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6653), (6654) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6655)  all_30_0 = all_20_0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6655) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6656)  all_30_0 = all_20_0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6653) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6657)  all_54_14 = all_20_0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6653) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6658)   ~ (all_52_3 = all_20_0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6653) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6659)   ~ (all_52_7 = all_20_0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6653) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6660)   ~ (all_52_9 = all_20_0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6491), (6653) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6661)   ~ (all_20_0 = e3)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6518), (6653) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6662)   ~ (all_20_0 = e0)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6642), (6656) imply:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | |   (6663)   ~ (all_20_0 = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |   (6664)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6664) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6665)  all_56_4 = e2 & op(e3, e1) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5644), (6665), (function-axioms) are
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6666)  all_56_5 = e2 & op(e2, e1) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6666) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (6667)  op(e2, e1) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6668)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6668) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6669)  all_56_12 = e2 & op(e0, e3) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6669) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6670)  all_56_12 = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (229),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (5649), (6487), (6516), (6670),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #740.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6671)  all_56_13 = e2 & op(e0, e2) = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6671) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6672)  all_56_13 = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6673)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6673) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6674)  all_56_12 = e3 & op(e0, e3) = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6674) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6675)  all_56_12 = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6676)  all_54_14 = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6661), (6676) are inconsistent by
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #722.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6677)   ~ (all_54_14 = e3)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6678)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6679)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6679) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6680)  all_56_0 = e1 & op(e3, e3) = e1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6680) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6681)  op(e3, e3) = e1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (6681), (function-axioms) are
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6682)  all_56_2 = e1 & op(e2, e3) = e1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6682) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6683)  all_56_2 = e1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6684)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (235),
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5649), (6672), (6683), (6684), (function-axioms)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #721.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6685)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6685) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6686)  all_56_14 = e1 & op(e0, e1) = e1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6686) implies:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6687)  all_56_14 = e1
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6678) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6688)  all_54_14 = e2
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6663), (6688) are inconsistent by
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #720.
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6689)   ~ (all_54_14 = e2)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6690)  all_54_14 = e1 | all_54_14 = e0
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6691)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6691) gives:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6692)  all_56_1 = e3 & op(e3, e2) = e3
% 188.73/29.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6692) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6693)  all_56_1 = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6694)  op(e3, e2) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6695)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6683), (6694), (6695), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #719.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6696)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6696) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6697)  all_56_4 = e1 & op(e3, e1) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6607), (6697) are inconsistent by sub-proof
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #718.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6698)  all_56_9 = e1 & op(e3, e0) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6698) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6699)  all_56_9 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6690) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6700)  all_54_14 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6657), (6700) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6701)  all_20_0 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6701) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6702)  all_20_0 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6658), (6702) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6703)   ~ (all_52_3 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6659), (6702) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6704)   ~ (all_52_7 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6660), (6702) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6705)   ~ (all_52_9 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6661), (6702) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6706)   ~ (e3 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6663), (6702) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6707)   ~ (e2 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (85), (113), (117),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (128), (133), (135), (136), (140), (145),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (146), (148), (158), (159), (160), (164), (165),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (168), (170), (191), (192), (195), (197),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (200), (203), (206), (209), (215), (216),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (226), (229), (230), (231), (233), (234),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (238), (239), (248), (249), (258), (260),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (261), (269), (272), (373), (5640), (5642),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5648), (5649), (6488), (6490), (6493), (6516),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6517), (6520), (6521), (6525), (6592), (6593),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6628), (6632), (6635), (6637), (6639), (6672),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6675), (6683), (6687), (6693), (6694), (6699),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6703), (6704), (6705), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #706.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6708)  all_54_14 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6662), (6708) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #705.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6709)  all_56_3 = e3 & op(e2, e2) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6709) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6710)  op(e2, e2) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (6710), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6711)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (206), (208),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6488), (6675), (6687), (6711), (function-axioms)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #702.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6712)  all_56_15 = e1 & op(e0, e0) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6712) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6713)  op(e0, e0) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6525), (6713), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6714)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6628), (6675), (6714) are inconsistent
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #701.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6715)  all_56_13 = e3 & op(e0, e2) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6672), (6715) are inconsistent by sub-proof
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #700.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6716)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6716) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6717)  all_56_14 = e3 & op(e0, e1) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6717) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6718)  all_56_14 = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6719)  all_54_14 = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6661), (6719) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #722.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6720)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6720) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6721)  all_54_14 = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6663), (6721) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #720.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6722)  all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6723)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6723) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6724)  all_56_12 = e1 & op(e0, e3) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6724) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6725)  op(e0, e3) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6722) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6726)  all_54_14 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6657), (6726) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6727)  all_20_0 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6727) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6728)  all_20_0 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6658), (6728) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6729)   ~ (all_52_3 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6725), (6729), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6730)  all_54_14 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6662), (6730) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #705.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6731)  all_56_13 = e1 & op(e0, e2) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6731) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6732)  all_56_13 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6672), (6732) are inconsistent by sub-proof
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1916.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6733)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6525), (6718), (6733),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #699.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6734)  all_56_15 = e3 & op(e0, e0) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6734) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6735)  op(e0, e0) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6525), (6735), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6736)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6736) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6737)  all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6737) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6738)  all_56_14 = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (6493), (6607), (6667),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6738), (function-axioms) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #698.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6739)  all_56_15 = e2 & op(e0, e0) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6739) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6740)  op(e0, e0) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6525), (6740), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | |   (6741)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6741) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (6742)  all_56_8 = e2 & op(e1, e1) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6742) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (6743)  op(e1, e1) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6493), (6743), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (6744)  all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6744) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (6745)  all_56_14 = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6746)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6746) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6747)  all_56_4 = e1 & op(e3, e1) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6747) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6748)  all_56_4 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6607), (6748) are inconsistent by sub-proof
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1827.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6749)  all_56_5 = e1 & op(e2, e1) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6749) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6750)  op(e2, e1) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6751)  all_54_14 = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6661), (6751) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #722.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6752)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6752) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6753)  all_54_14 = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6663), (6753) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #720.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6754)  all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6754) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6755)  all_54_14 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6657), (6755) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6756)  all_20_0 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6756) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6757)  all_20_0 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6660), (6757) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6758)   ~ (all_52_9 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6750), (6758), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6759)  all_54_14 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6657), (6662), (6759) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #705.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6760)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (6493), (6745), (6760),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1154.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6761)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_20_1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6761) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6762)   ~ (all_20_1 = e2)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6763)  op(e1, e3) = all_20_1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (6629), (6643) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6764)  all_30_1 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e1, simplifying with (6643), (6763)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6765)  all_30_1 = all_20_1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6764), (6765) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6766)  all_20_1 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6644), (6764) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6767)  op(e0, e1) = all_30_0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |              all_30_0, e1, e0, simplifying with (157), (6767)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6768)  all_52_11 = all_30_0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6768) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6769)  all_54_14 = all_30_0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6768) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6770)   ~ (all_52_3 = all_30_0)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6768) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6771)   ~ (all_52_7 = all_30_0)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6768) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6772)   ~ (all_52_9 = all_30_0)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6491), (6768) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6773)   ~ (all_30_0 = e3)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6518), (6768) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (6774)   ~ (all_30_0 = e0)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | |   (6775)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6775) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (6776)  all_56_4 = e2 & op(e3, e1) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5644), (6776), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (6777)  all_56_5 = e2 & op(e2, e1) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6777) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (6778)  op(e2, e1) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6779)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6779) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6780)  all_56_12 = e2 & op(e0, e3) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6780) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6781)  all_56_12 = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (229),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (5649), (6487), (6516), (6781),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #740.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6782)  all_56_13 = e2 & op(e0, e2) = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6782) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6783)  all_56_13 = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6784)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6784) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6785)  all_56_12 = e3 & op(e0, e3) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6785) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6786)  all_56_12 = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6787)  all_54_14 = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6773), (6787) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6788)   ~ (all_54_14 = e3)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6789)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6790)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6790) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6791)  all_56_0 = e1 & op(e3, e3) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6791) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6792)  op(e3, e3) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (6792), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6793)  all_56_2 = e1 & op(e2, e3) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6793) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6794)  all_56_2 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6795)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (235),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5649), (6783), (6794), (6795), (function-axioms)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #721.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6796)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6796) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6797)  all_56_14 = e1 & op(e0, e1) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6797) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6798)  all_56_14 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6789) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6799)  all_54_14 = e2
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6642), (6769), (6799) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6800)   ~ (all_54_14 = e2)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6801)  all_54_14 = e1 | all_54_14 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6802)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6802) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6803)  all_56_1 = e3 & op(e3, e2) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6803) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6804)  all_56_1 = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6805)  op(e3, e2) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6806)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6794), (6805), (6806), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #719.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6807)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6807) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6808)  all_56_4 = e1 & op(e3, e1) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6607), (6808) are inconsistent by sub-proof
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #718.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6809)  all_56_9 = e1 & op(e3, e0) = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6809) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6810)  all_56_9 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6801) gives:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6811)  all_54_14 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6769), (6811) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6812)  all_30_0 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6812) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6813)  all_30_0 = e1
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6770), (6813) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6814)   ~ (all_52_3 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6771), (6813) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6815)   ~ (all_52_7 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6772), (6813) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6816)   ~ (all_52_9 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6773), (6813) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6817)   ~ (e3 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6642), (6813) imply:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6818)   ~ (e2 = e1)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (85), (113), (117),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (128), (133), (135), (136), (140), (145),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (146), (148), (158), (159), (160), (164), (165),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (168), (170), (191), (192), (195), (197),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (200), (203), (206), (209), (215), (216),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (226), (229), (230), (231), (233), (234),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (238), (239), (248), (249), (258), (260),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (261), (269), (272), (373), (5640), (5642),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5648), (5649), (6488), (6490), (6493), (6516),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6517), (6520), (6521), (6525), (6592), (6593),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6628), (6632), (6635), (6637), (6639), (6783),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6786), (6794), (6798), (6804), (6805), (6810),
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6814), (6815), (6816), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #706.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6819)  all_54_14 = e0
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6774), (6819) are inconsistent by
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1294.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6820)  all_56_3 = e3 & op(e2, e2) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6820) implies:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6821)  op(e2, e2) = e3
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (6821), (function-axioms) are
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6822)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.73/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (206), (208),
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6488), (6786), (6798), (6822), (function-axioms)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #702.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6823)  all_56_15 = e1 & op(e0, e0) = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6823) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6824)  op(e0, e0) = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6525), (6824), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6825)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6628), (6786), (6825) are inconsistent
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #701.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6826)  all_56_13 = e3 & op(e0, e2) = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6826) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6827)  all_56_13 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6783), (6827) are inconsistent by sub-proof
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1541.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6828)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6828) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6829)  all_56_14 = e3 & op(e0, e1) = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6829) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6830)  all_56_14 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6831)  all_54_14 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6773), (6831) are inconsistent by
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6832)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6832) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6833)  all_54_14 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6642), (6769), (6833) are inconsistent by
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6834)  all_54_14 = e1 | all_54_14 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6835)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6835) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6836)  all_56_12 = e1 & op(e0, e3) = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6836) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6837)  op(e0, e3) = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6834) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6838)  all_54_14 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6769), (6838) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6839)  all_30_0 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6839) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6840)  all_30_0 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6770), (6840) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6841)   ~ (all_52_3 = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6837), (6841), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6842)  all_54_14 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6774), (6842) are inconsistent by
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1294.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6843)  all_56_13 = e1 & op(e0, e2) = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6769), (6771), (6774), (6834), (6843),
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1244.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6844)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6525), (6830), (6844),
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #699.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6845)  all_56_15 = e3 & op(e0, e0) = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6845) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6846)  op(e0, e0) = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6525), (6846), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6847)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6847) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6848)  all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6848) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6849)  all_56_14 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (6493), (6607), (6778),
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6849), (function-axioms) are inconsistent by
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #698.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6850)  all_56_15 = e2 & op(e0, e0) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6850) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6851)  op(e0, e0) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6525), (6851), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | |   (6852)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6852) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (6853)  all_56_8 = e2 & op(e1, e1) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6853) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (6854)  op(e1, e1) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6493), (6854), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (6855)  all_56_14 = e2 & op(e0, e1) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6855) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (6856)  all_56_14 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6857)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6857) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6858)  all_56_4 = e1 & op(e3, e1) = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6858) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6859)  all_56_4 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6607), (6859) are inconsistent by sub-proof
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1827.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6860)  all_56_5 = e1 & op(e2, e1) = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6860) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6861)  op(e2, e1) = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6862)  all_54_14 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6773), (6862) are inconsistent by
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6863)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6863) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6864)  all_54_14 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6642), (6769), (6864) are inconsistent by
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6865)  all_54_14 = e1 | all_54_14 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6865) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6866)  all_54_14 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6769), (6866) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6867)  all_30_0 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6867) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6868)  all_30_0 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6772), (6868) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6869)   ~ (all_52_9 = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6861), (6869), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6870)  all_54_14 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6769), (6774), (6870) are inconsistent by
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1294.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6871)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (6493), (6856), (6871),
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1154.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | |   (6872)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6483), (6629), (6872), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1241.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | |   (6873)  all_56_12 = e0 & op(e0, e3) = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6873) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | |   (6874)  op(e0, e3) = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6516), (6874), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | |   (6875)  all_56_9 = e0 & op(e3, e0) = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | ALPHA: (6875) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | |   (6876)  op(e3, e0) = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6519), (6876), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | End of split
% 188.73/29.02  | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | |   (6877)  all_28_2 = e2
% 188.73/29.02  | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | COMBINE_EQS: (330), (6877) imply:
% 188.73/29.02  | | | | | | | | | | | | |   (6878)  all_14_2 = e2
% 188.73/29.02  | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | SIMP: (6878) implies:
% 188.73/29.02  | | | | | | | | | | | | |   (6879)  all_14_2 = e2
% 188.73/29.02  | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | REDUCE: (369), (6879) imply:
% 188.73/29.02  | | | | | | | | | | | | |   (6880)   ~ (all_52_11 = e2)
% 188.73/29.02  | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | REDUCE: (372), (6879) imply:
% 188.73/29.02  | | | | | | | | | | | | |   (6881)   ~ (all_52_14 = e2)
% 188.73/29.02  | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | REDUCE: (5652), (6879) imply:
% 188.73/29.02  | | | | | | | | | | | | |   (6882)   ~ (e3 = e2)
% 188.73/29.02  | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | REDUCE: (51), (6879) imply:
% 188.73/29.02  | | | | | | | | | | | | |   (6883)  op(e0, e0) = e2
% 188.73/29.02  | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.73/29.02  | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | |   (6884)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.73/29.02  | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 188.73/29.02  | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | BETA: splitting (6884) gives:
% 188.73/29.02  | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | |   (6885)  all_56_6 = e2 & op(e1, e3) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (6885), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 188.73/29.02  | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | |   (6886)  all_56_7 = e2 & op(e1, e2) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | ALPHA: (6886) implies:
% 188.73/29.02  | | | | | | | | | | | | | | |   (6887)  op(e1, e2) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | |   (6888)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | BETA: splitting (6888) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6889)  all_56_4 = e2 & op(e3, e1) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5644), (6889), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6890)  all_56_5 = e2 & op(e2, e1) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | ALPHA: (6890) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6891)  op(e2, e1) = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 188.73/29.02  | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (6887) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6892)  all_52_6 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 188.73/29.02  | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (6891) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6893)  all_52_9 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | REDUCE: (128), (6892) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6894)   ~ (all_52_7 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | SIMP: (6894) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6895)   ~ (all_52_7 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | REDUCE: (126), (6892) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6896)   ~ (all_52_14 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | REDUCE: (118), (6893) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6897)   ~ (all_52_11 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | REDUCE: (117), (6893) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6898)   ~ (all_52_13 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | SIMP: (6898) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6899)   ~ (all_52_13 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | REDUCE: (358), (6893) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6900)   ~ (all_4_2 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | SIMP: (6900) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | |   (6901)   ~ (all_4_2 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | |   (6902)  all_54_5 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6902) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | |   (6903)  all_4_2 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | REDUCE: (373), (6903) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | |   (6904)  $false
% 188.73/29.02  | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | CLOSE: (6904) is inconsistent.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | |   (6905)   ~ (all_54_5 = e3)
% 188.73/29.02  | | | | | | | | | | | | | | | | | |   (6906)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | BETA: splitting (6906) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | |   (6907)  all_54_5 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6907) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | |   (6908)  all_4_2 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | REDUCE: (6901), (6908) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | |   (6909)  $false
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | CLOSE: (6909) is inconsistent.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | |   (6910)   ~ (all_54_5 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | |   (6911)  all_54_5 = e1 | all_54_5 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | BETA: splitting (6911) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6912)  all_54_5 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6912) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6913)  all_4_2 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (6495), (6913) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6914)  $false
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | CLOSE: (6914) is inconsistent.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6915)  all_54_5 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (6915) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6916)  all_4_2 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (6916) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6917)  all_36_2 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (6916) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6918)   ~ (all_52_1 = e0)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (6916) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6919)   ~ (all_52_4 = e0)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (6916) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6920)   ~ (all_52_7 = e0)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (6916) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6921)   ~ (all_52_13 = e0)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (6916) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6922)   ~ (e3 = e0)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (6901), (6916) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6923)   ~ (e2 = e0)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (6495), (6916) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6924)   ~ (e1 = e0)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6916) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | |   (6925)  op(e2, e2) = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | |   (6926)  all_54_8 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (6487), (6926) are inconsistent by
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | |   (6927)   ~ (all_54_8 = e3)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | |   (6928)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | |   (6929)  all_54_14 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6929) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | |   (6930)  all_52_11 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6491), (6930) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | |   (6931)  $false
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6931) is inconsistent.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | |   (6932)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | |   (6933)  all_54_4 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6933) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | |   (6934)  all_52_1 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6934) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | |   (6935)  all_52_1 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6935) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | |   (6936)   ~ (all_52_13 = e3)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6936) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | |   (6937)   ~ (all_52_13 = e3)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | |   (6938)  all_54_7 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6937), (6938) are inconsistent by
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | |   (6939)   ~ (all_54_7 = e3)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | |   (6940)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6940) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (6941)  all_54_7 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6899), (6941) are inconsistent by
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (6942)   ~ (all_54_7 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (6943)  all_54_7 = e1 | all_54_7 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6943) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6944)  all_54_7 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (6944) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6945)  all_52_13 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6945) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6946)  all_52_13 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (6946) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6947)   ~ (all_52_12 = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6946) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6948)   ~ (all_52_14 = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6948) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6949)   ~ (all_52_14 = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6937), (6946) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6950)   ~ (e3 = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6899), (6946) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6951)   ~ (e2 = e1)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6952)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6952) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6953)  all_56_0 = e3 & op(e3, e3) = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6953) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6954)  op(e3, e3) = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (6954), (function-axioms) are
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6955)  all_56_2 = e3 & op(e2, e3) = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6955) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6956)  all_56_2 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6957)  all_54_11 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (6957) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6958)  all_52_14 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6958) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6959)  $false
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6959) is inconsistent.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6960)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6960) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6961)  all_54_11 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (6961) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6962)  all_52_14 = e2
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6881), (6962) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6963)  $false
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6963) is inconsistent.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6964)   ~ (all_54_11 = e2)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6965)  all_54_11 = e1 | all_54_11 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6965) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6966)  all_54_11 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (6966) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6967)  all_52_14 = e1
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6949), (6967) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6968)  $false
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6968) is inconsistent.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6969)  all_54_11 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (6969) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6970)  all_52_14 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6970) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6971)   ~ (all_52_2 = e0)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (6970) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6972)   ~ (all_52_12 = e0)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (6970) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6973)  op(e1, e0) = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6974)  all_54_3 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6974) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6975)  all_52_12 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6975) implies:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6976)  all_52_12 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6976) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6977)   ~ (all_52_4 = e3)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (6976) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6978)  op(e3, e0) = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6979)  all_54_1 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6979) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6980)  all_52_4 = e3
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6977), (6980) imply:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6981)  $false
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6981) is inconsistent.
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6982)   ~ (all_54_1 = e3)
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6983)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6984)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6984) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6985)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6985) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6986)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (6977), (6986),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1530.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6987)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6987) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6988)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6988) implies:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6989)  op(e3, e3) = e1
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (6989), (function-axioms) are
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6990)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6990) implies:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6991)  op(e3, e1) = e1
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (272), (5643), (6919), (6983),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6991), (function-axioms) are inconsistent by
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #694.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6992)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6992) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6993)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5649), (6978), (6993),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #809.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6994)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6887), (6925), (6994),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #693.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6995)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6995) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6996)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6996) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6997)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (202), (271), (5644), (5649), (6489),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6921), (6978), (6997), (function-axioms) are
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #731.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6998)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (202), (271), (5644), (5649), (6489),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6883), (6978), (6998), (function-axioms) are
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #692.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6999)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6999) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7000)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7000) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7001)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7001) implies:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7002)  op(e3, e3) = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (6956), (6971), (7002), (function-axioms)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1720.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7003)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7003) implies:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7004)  op(e2, e2) = e2
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6925), (7004), (function-axioms) are
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7005)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (202), (271), (5644), (5649), (6489),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6493), (6978), (7005), (function-axioms) are
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #730.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7006)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (5645), (6947), (6973),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7006), (function-axioms) are inconsistent by
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1686.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7007)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7007) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7008)  all_56_6 = e3 & op(e1, e3) = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7008) implies:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7009)  all_56_6 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (373), (6490), (6937),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7009), (function-axioms) are inconsistent by
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1454.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7010)  all_56_12 = e3 & op(e0, e3) = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7010) implies:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7011)  all_56_12 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7012)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (229), (231),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (5649), (7011), (7012), (function-axioms)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #724.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7013)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (6490), (6937), (7013),
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1455.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7014)  all_54_7 = e0
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6921), (7014) are inconsistent by
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1477.
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | |   (7015)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | |   (7016)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.73/29.03  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7016) gives:
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.73/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (7017)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7017) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7018)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7018) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7019)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7019) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7020)  op(e2, e3) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7021)  op(e3, e2) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7022)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7015) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7023)  all_54_4 = e2
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (7023) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1833.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7024)  all_54_4 = e1 | all_54_4 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7025)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7025) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7026)  all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7026) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7027)  op(e3, e3) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (7027), (function-axioms) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7028)  all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7028) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7029)  all_56_2 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7030)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6925), (7029), (7030),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #691.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7031)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7031) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7032)  all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7032) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7033)  op(e2, e1) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6891), (7033), (function-axioms) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7034)  all_56_10 = e1 & op(e2, e0) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7034) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7035)  op(e2, e0) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (6918), (7024), (7035),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #690.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7036)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7036) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7037)  all_56_6 = e3 & op(e1, e3) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7037) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7038)  op(e1, e3) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6487), (7038), (function-axioms) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7039)  all_56_12 = e3 & op(e0, e3) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7039) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7040)  all_56_12 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7041)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (229), (231),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (5649), (7040), (7041), (function-axioms)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #724.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7042)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7042) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7043)  all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7043) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7044)  op(e2, e1) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6490), (7044), (function-axioms) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7045)  all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7045) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7046)  all_56_10 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7047)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7047) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7048)  all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7048) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7049)  all_56_2 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7050)  all_56_15 = e0 & op(e0, e0) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7050) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7051)  op(e0, e0) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6883), (7051), (function-axioms) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7052)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7052) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7053)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7054)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7055)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7055) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7056)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7056) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7057)  all_56_6 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (5648), (7040), (7049),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7057) are inconsistent by sub-proof #689.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7058)  all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7058) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7059)  op(e1, e2) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6493), (7022), (7059), (function-axioms) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #879.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7060)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7060) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7061)  all_56_8 = e1 & op(e1, e1) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7061) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7062)  op(e1, e1) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6493), (7062), (function-axioms) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7063)  all_56_11 = e1 & op(e1, e0) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7063) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7064)  all_56_11 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7053) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7065)  all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7065) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7066)  all_56_12 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7040), (7066) are inconsistent by sub-proof
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1700.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7067)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7067) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7068)  all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7068) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7069)  op(e0, e2) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6920), (7069), (function-axioms) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7070)  all_56_14 = e0 & op(e0, e1) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7070) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7071)  all_56_14 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7072)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7072) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7073)  all_56_12 = e1 & op(e0, e3) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7073) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7074)  all_56_12 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (5649),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7049), (7074), (function-axioms) are inconsistent
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #802.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7075)  all_56_13 = e1 & op(e0, e2) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7075) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7076)  all_56_13 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7077)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7077) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7078)  all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7078) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7079)  all_56_1 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7054) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7080)  all_56_9 = e0 & op(e3, e0) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7080) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7081)  op(e3, e0) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7024) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7082)  all_54_4 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (7082) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7083)  all_52_1 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7083) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7084)   ~ (all_52_2 = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7084) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7085)   ~ (all_52_2 = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (7083) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7086)   ~ (all_52_3 = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7086) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7087)   ~ (all_52_3 = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (7083) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7088)  op(e2, e3) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6928) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7089)  all_54_8 = e2
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5641), (7089) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7090)  all_54_8 = e1 | all_54_8 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7090) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7091)  all_54_8 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7085), (7091) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1367.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7092)  all_54_8 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7092) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7093)  all_52_2 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7093) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7094)  all_52_2 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7094) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7095)   ~ (all_52_3 = e0)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7095) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7096)   ~ (all_52_3 = e0)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7097)  all_54_12 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (7097) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7098)  all_52_3 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7098) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7099)   ~ (all_52_7 = e3)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7099) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7100)   ~ (all_52_7 = e3)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (7098) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7101)   ~ (all_52_11 = e3)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7102)  all_54_13 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (7100), (7102) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7103)   ~ (all_54_13 = e3)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7104)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7104) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7105)  all_54_13 = e2
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (6895), (7105) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1444.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7106)  all_54_13 = e1 | all_54_13 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7106) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7107)  all_54_13 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (7107) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7108)  all_52_7 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7108) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7109)  all_52_7 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (7109) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7110)   ~ (all_52_11 = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7110) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7111)   ~ (all_52_11 = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7100), (7109) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7112)   ~ (e3 = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6932) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7113)  all_54_14 = e2
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6880), (7113) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1740.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7114)  all_54_14 = e1 | all_54_14 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7114) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7115)  all_54_14 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (7111), (7115) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1739.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7116)  all_54_14 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (7116) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7117)  all_52_11 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7117) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7118)  all_52_11 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (7020), (7088) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7119)  e3 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7079), (7119) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7120)  all_56_1 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (5649), (6489),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7081), (7120), (function-axioms) are inconsistent
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #688.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7121)  all_54_13 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (6920), (7121) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1653.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7122)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5642), (7087), (7096), (7122) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #707.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7123)  all_54_4 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (7123) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7124)  all_52_1 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6918), (7124) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7125)  $false
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7125) is inconsistent.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7126)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7126) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7127)  all_56_10 = e0 & op(e2, e0) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7127) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7128)  op(e2, e0) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6921), (7128), (function-axioms) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7129)  all_56_11 = e0 & op(e1, e0) = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7129) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7130)  all_56_11 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7064), (7130) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7131)  e1 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7131) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7132)  e1 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7049), (7132) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7133)  all_56_2 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (6917), (6925), (7046),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7133), (function-axioms) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #723.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7134)  all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7134) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7135)  op(e2, e2) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7135), (function-axioms) are
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7136)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7136) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7137)  all_56_7 = e3 & op(e1, e2) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7137) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7138)  all_56_7 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (6925), (7021), (7076),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7138), (function-axioms) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1923.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7139)  all_56_13 = e3 & op(e0, e2) = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7139) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7140)  all_56_13 = e3
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7076), (7140) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7141)  e3 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7040), (7141) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7142)  all_56_12 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (5649),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7049), (7142), (function-axioms) are inconsistent
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #802.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7143)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7143) gives:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7144)  all_56_14 = e1 & op(e0, e1) = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7144) implies:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7145)  all_56_14 = e1
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7071), (7145) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7146)  e1 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7049), (7146) imply:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7147)  all_56_2 = e0
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (6917), (6925), (7046),
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7147), (function-axioms) are inconsistent by
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #723.
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7148)  all_56_15 = e1 & op(e0, e0) = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7148) implies:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7149)  op(e0, e0) = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6883), (7149), (function-axioms) are
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7150)  all_56_3 = e1 & op(e2, e2) = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7150) implies:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7151)  op(e2, e2) = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6925), (7151), (function-axioms) are
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7152)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7152) gives:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7153)  all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7153) implies:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7154)  op(e2, e1) = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6891), (7154), (function-axioms) are
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7155)  all_56_10 = e1 & op(e2, e0) = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7155) implies:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7156)  op(e2, e0) = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (6918), (7024), (7156),
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #690.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7157)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7157) implies:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7158)  op(e2, e2) = e3
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7158), (function-axioms) are
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7159)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7159) gives:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7160)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7160) implies:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7161)  op(e3, e3) = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (7161), (function-axioms) are
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7162)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7162) implies:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7163)  op(e1, e3) = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (269), (5640), (6918), (7015),
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7163), (function-axioms) are inconsistent by
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #686.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (7164)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7164) gives:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7165)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5649), (6883), (7165),
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            #815.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7166)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (6887), (6925), (7166),
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            #693.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |   (7167)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7167) gives:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (7168)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7168) gives:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7169)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (6891), (6921), (7169),
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            #709.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7170)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (6493), (6883), (7170),
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1171.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (7171)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7171) gives:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7172)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5649), (6925), (7172),
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            #827.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7173)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (6493), (6883), (7173),
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1169.
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | |   (7174)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.87/29.05  | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.87/29.05  | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (6493), (6880), (7174),
% 188.87/29.05  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.05  | | | | | | | | | | | | | | | |            #685.
% 188.87/29.05  | | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | |   (7175)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.87/29.05  | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 188.87/29.05  | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (6493), (6881), (7175),
% 188.87/29.05  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.05  | | | | | | | | | | | | | |            #684.
% 188.87/29.05  | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | End of split
% 188.87/29.05  | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | Case 2:
% 188.87/29.05  | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | |   (7176)  all_24_2 = e1
% 188.87/29.05  | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | COMBINE_EQS: (318), (7176) imply:
% 188.87/29.05  | | | | | | | | | | |   (7177)  all_4_2 = e1
% 188.87/29.05  | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | SIMP: (7177) implies:
% 188.87/29.05  | | | | | | | | | | |   (7178)  all_4_2 = e1
% 188.87/29.05  | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | REDUCE: (349), (7178) imply:
% 188.87/29.05  | | | | | | | | | | |   (7179)   ~ (all_52_1 = e1)
% 188.87/29.05  | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | REDUCE: (354), (7178) imply:
% 188.87/29.05  | | | | | | | | | | |   (7180)   ~ (all_52_6 = e1)
% 188.87/29.05  | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | REDUCE: (373), (7178) imply:
% 188.87/29.05  | | | | | | | | | | |   (7181)   ~ (e3 = e1)
% 188.87/29.05  | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | REDUCE: (36), (7178) imply:
% 188.87/29.05  | | | | | | | | | | |   (7182)  op(e2, e2) = e1
% 188.87/29.05  | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | BETA: splitting (238) gives:
% 188.87/29.05  | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | Case 1:
% 188.87/29.05  | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | |   (7183)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.05  | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05  | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.05  | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.05  | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.87/29.05  | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05  | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.05  | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.05  | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.05  | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.05  | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.05  | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.05  | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.05  | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.87/29.05  | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.05  | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.05  | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.87/29.05  | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 188.87/29.05  | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.87/29.05  | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.87/29.05  | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.87/29.05  | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.87/29.05  | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.05  | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.87/29.05  | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.87/29.05  | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.87/29.05  | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 188.87/29.05  | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.87/29.05  | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.05  | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.87/29.05  | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 188.87/29.05  | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.87/29.05  | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.87/29.05  | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.87/29.05  | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.05  | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.05  | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.05  | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.05  | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | BETA: splitting (7183) gives:
% 188.87/29.05  | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | Case 1:
% 188.87/29.05  | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | |   (7184)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.05  | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05  | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.05  | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.05  | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.87/29.05  | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05  | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.05  | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.05  | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.05  | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.05  | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.05  | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.05  | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.05  | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.87/29.05  | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.05  | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.05  | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.87/29.05  | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | BETA: splitting (7184) gives:
% 188.87/29.05  | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | Case 1:
% 188.87/29.05  | | | | | | | | | | | | | | 
% 188.87/29.05  | | | | | | | | | | | | | |   (7185)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.05  | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05  | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.05  | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.05  | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.87/29.05  | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.05  | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.05  | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.05  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (7185), (function-axioms) are
% 188.87/29.06  | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | |   (7186)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.06  | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.06  | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | REF_CLOSE: (8), (6493), (7182), (7186), (function-axioms) are
% 188.87/29.06  | | | | | | | | | | | | | |            inconsistent by sub-proof #683.
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | End of split
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | |   (7187)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.06  | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.06  | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.06  | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.06  | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.87/29.06  | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.06  | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.06  | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.87/29.06  | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.06  | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.06  | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.87/29.06  | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.87/29.06  | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.87/29.06  | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.87/29.06  | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.87/29.06  | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.87/29.06  | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.87/29.06  | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.87/29.06  | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.87/29.06  | | | | | | | | | | | | |             $i(all_57_10))
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | BETA: splitting (7187) gives:
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | |   (7188)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.06  | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.06  | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | REF_CLOSE: (5649), (7188), (function-axioms) are inconsistent
% 188.87/29.06  | | | | | | | | | | | | | |            by sub-proof #798.
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | |   (7189)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.87/29.06  | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.87/29.06  | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.87/29.06  | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.06  | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | REF_CLOSE: (162), (169), (6489), (7180), (7189),
% 188.87/29.06  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.06  | | | | | | | | | | | | | |            #1677.
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | End of split
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | End of split
% 188.87/29.06  | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | |   (7190)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.06  | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.06  | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.06  | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.06  | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.87/29.06  | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.06  | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.06  | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.06  | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.87/29.06  | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.06  | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.06  | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.06  | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.87/29.06  | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.06  | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.06  | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.06  | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.87/29.06  | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.06  | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.06  | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.87/29.06  | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 188.87/29.06  | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.87/29.06  | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.87/29.06  | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.87/29.06  | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 188.87/29.06  | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.87/29.06  | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.87/29.06  | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 188.87/29.06  | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.06  | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.06  | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.06  | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.06  | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.87/29.06  | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.06  | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.06  | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.06  | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.06  | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.87/29.06  | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.06  | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.06  | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.06  | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.06  | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.87/29.06  | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.06  | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.06  | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.06  | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.06  | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.87/29.06  | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.06  | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.06  | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.06  | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.06  | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | BETA: splitting (7190) gives:
% 188.87/29.06  | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | |   (7191)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.06  | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.06  | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.06  | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.06  | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.87/29.06  | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.06  | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.06  | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.06  | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.87/29.06  | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.06  | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.06  | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.06  | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.87/29.06  | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.06  | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.06  | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.06  | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.87/29.06  | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.06  | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.06  | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | BETA: splitting (7191) gives:
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | |   (7192)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.06  | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.06  | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.06  | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (5649), (5650), (7192),
% 188.87/29.06  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.06  | | | | | | | | | | | | | |            #682.
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | |   (7193)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.06  | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.87/29.06  | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.87/29.06  | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 188.87/29.06  | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | |   (7194)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.06  | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.87/29.06  | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.87/29.06  | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.06  | | | | | | | | | | | | | | |           $i(all_57_12)
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | ALPHA: (7194) implies:
% 188.87/29.06  | | | | | | | | | | | | | | |   (7195)  op(e0, e0) = e1
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | REF_CLOSE: (51), (5650), (7195), (function-axioms) are
% 188.87/29.06  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1967.
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | |   (7196)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.87/29.06  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.06  | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.06  | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.87/29.06  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.06  | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.06  | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (6493), (7182), (7196),
% 188.87/29.06  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.06  | | | | | | | | | | | | | | |            #841.
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | End of split
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | End of split
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | |   (7197)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.87/29.06  | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.06  | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.06  | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.87/29.06  | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.06  | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.06  | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.06  | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.87/29.06  | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 188.87/29.06  | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.87/29.06  | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.06  | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.87/29.06  | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 188.87/29.06  | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.87/29.06  | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.87/29.06  | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.87/29.06  | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.06  | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 188.87/29.06  | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.06  | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.87/29.06  | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.87/29.06  | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.06  | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.06  | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.87/29.06  | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.06  | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.06  | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.06  | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.06  | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.87/29.06  | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.06  | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.06  | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.06  | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | BETA: splitting (7197) gives:
% 188.87/29.06  | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | |   (7198)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.87/29.06  | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.06  | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.87/29.06  | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.06  | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.06  | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_14))
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (7198), (function-axioms) are
% 188.87/29.06  | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | |   (7199)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.87/29.06  | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.06  | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.06  | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.06  | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.06  | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.06  | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.87/29.06  | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.06  | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.06  | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.06  | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.06  | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.87/29.06  | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.06  | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.06  | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.06  | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.06  | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.87/29.06  | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.06  | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.06  | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.06  | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.06  | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | BETA: splitting (7199) gives:
% 188.87/29.06  | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | |   (7200)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.87/29.06  | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.06  | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.06  | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | ALPHA: (7200) implies:
% 188.87/29.06  | | | | | | | | | | | | | | |   (7201)  op(e1, e1) = e0
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | REF_CLOSE: (7), (6493), (7201), (function-axioms) are
% 188.87/29.06  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | |   (7202)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.87/29.06  | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.87/29.06  | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 188.87/29.06  | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.87/29.06  | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.87/29.06  | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 188.87/29.06  | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.87/29.06  | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.87/29.06  | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 188.87/29.06  | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.87/29.06  | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.87/29.06  | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.87/29.06  | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.06  | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 188.87/29.06  | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.06  | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.87/29.06  | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.87/29.06  | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 188.87/29.06  | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.87/29.06  | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.87/29.06  | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 188.87/29.06  | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 188.87/29.06  | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.87/29.06  | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | BETA: splitting (7202) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | |   (7203)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.87/29.06  | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.87/29.06  | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.87/29.06  | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | ALPHA: (7203) implies:
% 188.87/29.06  | | | | | | | | | | | | | | | |   (7204)  op(e2, e2) = e0
% 188.87/29.06  | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7182), (7204), (function-axioms) are
% 188.87/29.06  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 188.87/29.06  | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | |   (7205)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.06  | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.06  | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.06  | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.06  | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 188.87/29.06  | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.87/29.06  | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.87/29.06  | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.06  | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.87/29.06  | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.87/29.06  | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 188.87/29.06  | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.87/29.06  | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.87/29.06  | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 188.87/29.06  | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.87/29.06  | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.87/29.06  | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 188.87/29.06  | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.87/29.06  | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 188.87/29.06  | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | ALPHA: (7205) implies:
% 188.87/29.06  | | | | | | | | | | | | | | | |   (7206)  op(e0, e0) = all_57_15
% 188.87/29.06  | | | | | | | | | | | | | | | |   (7207)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.06  | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.06  | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.06  | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.87/29.06  | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.06  | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.06  | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.06  | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.06  | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.06  | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.06  | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.06  | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.87/29.06  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.06  | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.06  | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.06  | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.06  | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | |   (7208)   ~ (all_28_2 = e2)
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | REDUCE: (330), (7208) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | |   (7209)   ~ (all_14_2 = e2)
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | |   (7210)  all_54_15 = e3
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5652), (7210) are inconsistent by
% 188.87/29.06  | | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | |   (7211)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (159), (246), (351),
% 188.87/29.06  | | | | | | | | | | | | | | | | | |            (362), (369), (5649), (5650), (7182), (7207),
% 188.87/29.06  | | | | | | | | | | | | | | | | | |            (7209), (7211), (function-axioms) are inconsistent
% 188.87/29.06  | | | | | | | | | | | | | | | | | |            by sub-proof #680.
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | |   (7212)  all_28_2 = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (7212) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | |   (7213)  all_14_2 = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | SIMP: (7213) implies:
% 188.87/29.06  | | | | | | | | | | | | | | | | |   (7214)  all_14_2 = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | REDUCE: (371), (7214) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | |   (7215)   ~ (all_52_13 = e2)
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | REDUCE: (372), (7214) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | |   (7216)   ~ (all_52_14 = e2)
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | REDUCE: (5652), (7214) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | |   (7217)   ~ (e3 = e2)
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | REDUCE: (51), (7214) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | |   (7218)  op(e0, e0) = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | |   (7219)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5640), (7182), (7219),
% 188.87/29.06  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.06  | | | | | | | | | | | | | | | | | |            #797.
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | |   (7220)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.87/29.06  | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | BETA: splitting (7220) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | |   (7221)  all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | ALPHA: (7221) implies:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | |   (7222)  op(e2, e1) = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | |   (7223)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7223) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | |   (7224)  all_56_6 = e2 & op(e1, e3) = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (7224), (function-axioms) are
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | |   (7225)  all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7225) implies:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | |   (7226)  all_56_7 = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | |   (7227)  op(e1, e2) = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7207) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | |   (7228)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7228) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |   (7229)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7229) implies:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |   (7230)  op(e2, e2) = e3
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7182), (7230), (function-axioms) are
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |   (7231)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7231) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7232)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_1)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7232) implies:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7233)   ~ (all_57_1 = e1)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7234)  op(e0, e3) = e0
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7235)  op(e1, e3) = all_57_1
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (7234) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7236)  all_52_3 = e0
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1, e3, e1, simplifying with (163), (7235)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7237)  all_57_1 = all_52_2
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7233), (7237) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7238)   ~ (all_52_2 = e1)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (7236) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7239)   ~ (all_52_1 = e0)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7236) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7240)   ~ (all_52_2 = e0)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5642), (7236) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7241)   ~ (e2 = e0)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (7242)  all_54_4 = e3
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (7242) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (7243)  all_52_1 = e3
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7243) implies:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (7244)  all_52_1 = e3
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7244) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (7245)   ~ (all_52_2 = e3)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7244) imply:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (7246)   ~ (all_52_13 = e3)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7246) implies:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (7247)   ~ (all_52_13 = e3)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7248)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7248) gives:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7249)  all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7249) implies:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7250)  all_56_2 = e3
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7251)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7251) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7252)  all_56_6 = e0 & op(e1, e3) = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7240), (7252), (function-axioms) are
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7253)  all_56_7 = e0 & op(e1, e2) = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7226), (7253) are inconsistent by sub-proof
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #873.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7254)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7254) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7255)  all_56_8 = e0 & op(e1, e1) = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7255) implies:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7256)  op(e1, e1) = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (216), (229),
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (5648), (5649), (6492), (7227), (7250),
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7256), (function-axioms) are inconsistent by
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #679.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7257)  all_56_11 = e0 & op(e1, e0) = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7257) implies:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7258)  op(e1, e0) = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (196), (259), (5641), (6487),
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7238), (7258), (function-axioms) are inconsistent
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #678.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7259)  all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7259) implies:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7260)  op(e2, e2) = e3
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7182), (7260), (function-axioms) are
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7261)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7261) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7262)  all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (200), (269), (5640), (7179),
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7239), (7262), (function-axioms) are inconsistent
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #677.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7263)  all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7247), (7263), (function-axioms) are
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (7264)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (7179), (7239), (7264) are
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | |   (7265)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3)
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7265) implies:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | |   (7266)   ~ (all_57_15 = e2)
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7206), (7218), (7266), (function-axioms) are
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | |   (7267)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7267) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |   (7268)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7268) implies:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |   (7269)   ~ (all_57_15 = e2)
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7206), (7218), (7269), (function-axioms) are
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |   (7270)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (7222), (7270), (function-axioms) are
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #787.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |   (7271)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (6493), (7216), (7271),
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            #684.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |   (7272)  all_56_10 = e2 & op(e2, e0) = e2
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | ALPHA: (7272) implies:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |   (7273)  op(e2, e0) = e2
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7215), (7273), (function-axioms) are
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | |   (7274)  all_18_2 = e3
% 188.87/29.07  | | | | | | | | |   (7275)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 188.87/29.07  | | | | | | | | |             op(e0, e3) = all_18_1 & $i(all_18_0) &
% 188.87/29.07  | | | | | | | | |             $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0, e3) =
% 188.87/29.07  | | | | | | | | |             all_18_1 & $i(all_18_1))
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | COMBINE_EQS: (301), (7274) imply:
% 188.87/29.07  | | | | | | | | |   (7276)  all_14_2 = e3
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | COMBINE_EQS: (299), (7276) imply:
% 188.87/29.07  | | | | | | | | |   (7277)  all_48_2 = e3
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | REDUCE: (351), (7276) imply:
% 188.87/29.07  | | | | | | | | |   (7278)   ~ (all_52_3 = e3)
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | REDUCE: (362), (7276) imply:
% 188.87/29.07  | | | | | | | | |   (7279)   ~ (all_52_7 = e3)
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | REDUCE: (370), (7276) imply:
% 188.87/29.07  | | | | | | | | |   (7280)   ~ (all_52_12 = e3)
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | REDUCE: (371), (7276) imply:
% 188.87/29.07  | | | | | | | | |   (7281)   ~ (all_52_13 = e3)
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | REDUCE: (372), (7276) imply:
% 188.87/29.07  | | | | | | | | |   (7282)   ~ (all_52_14 = e3)
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | BETA: splitting (212) gives:
% 188.87/29.07  | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | |   (7283)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.87/29.07  | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.87/29.07  | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | REF_CLOSE: (164), (168), (7280), (7281), (7283),
% 188.87/29.07  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.07  | | | | | | | | | |            #1118.
% 188.87/29.07  | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | |   (7284)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.87/29.07  | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.87/29.07  | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | BETA: splitting (7284) gives:
% 188.87/29.07  | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | |   (7285)  all_56_11 = e3 & op(e1, e0) = e3
% 188.87/29.07  | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | REF_CLOSE: (160), (7282), (7285), (function-axioms) are
% 188.87/29.07  | | | | | | | | | | |            inconsistent by sub-proof #1407.
% 188.87/29.07  | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | |   (7286)  all_56_15 = e3 & op(e0, e0) = e3
% 188.87/29.07  | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | ALPHA: (7286) implies:
% 188.87/29.07  | | | | | | | | | | |   (7287)  all_56_15 = e3
% 188.87/29.07  | | | | | | | | | | |   (7288)  op(e0, e0) = e3
% 188.87/29.07  | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | BETA: splitting (61) gives:
% 188.87/29.07  | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | |   (7289)   ~ (all_20_2 = e3)
% 188.87/29.07  | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | REDUCE: (325), (7289) imply:
% 188.87/29.07  | | | | | | | | | | | |   (7290)   ~ (all_10_2 = e3)
% 188.87/29.07  | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | BETA: splitting (64) gives:
% 188.87/29.07  | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | |   (7291)   ~ (all_22_2 = e0)
% 188.87/29.07  | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | REDUCE: (251), (7291) imply:
% 188.87/29.07  | | | | | | | | | | | | |   (7292)   ~ (all_10_2 = e0)
% 188.87/29.07  | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | BETA: splitting (194) gives:
% 188.87/29.07  | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | |   (7293)  all_54_10 = e3
% 188.87/29.07  | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | REF_CLOSE: (336), (7290), (7293) are inconsistent by
% 188.87/29.07  | | | | | | | | | | | | | |            sub-proof #983.
% 188.87/29.07  | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | |   (7294)   ~ (all_54_10 = e3)
% 188.87/29.07  | | | | | | | | | | | | | |   (7295)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 188.87/29.07  | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | BETA: splitting (7295) gives:
% 188.87/29.07  | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | |   (7296)  all_54_10 = e2
% 188.87/29.07  | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | REF_CLOSE: (336), (375), (7296) are inconsistent by sub-proof
% 188.87/29.07  | | | | | | | | | | | | | | |            #982.
% 188.87/29.07  | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | |   (7297)   ~ (all_54_10 = e2)
% 188.87/29.07  | | | | | | | | | | | | | | |   (7298)  all_54_10 = e1 | all_54_10 = e0
% 188.87/29.07  | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | BETA: splitting (7298) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | |   (7299)  all_54_10 = e1
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (7299) imply:
% 188.87/29.07  | | | | | | | | | | | | | | | |   (7300)  all_10_2 = e1
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | SIMP: (7300) implies:
% 188.87/29.07  | | | | | | | | | | | | | | | |   (7301)  all_10_2 = e1
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | REDUCE: (350), (7301) imply:
% 188.87/29.07  | | | | | | | | | | | | | | | |   (7302)   ~ (all_52_2 = e1)
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | REDUCE: (361), (7301) imply:
% 188.87/29.07  | | | | | | | | | | | | | | | |   (7303)   ~ (all_52_6 = e1)
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | REDUCE: (366), (7301) imply:
% 188.87/29.07  | | | | | | | | | | | | | | | |   (7304)   ~ (all_52_11 = e1)
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | REDUCE: (368), (7301) imply:
% 188.87/29.07  | | | | | | | | | | | | | | | |   (7305)   ~ (all_52_14 = e1)
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | REDUCE: (7290), (7301) imply:
% 188.87/29.07  | | | | | | | | | | | | | | | |   (7306)   ~ (e3 = e1)
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | REDUCE: (375), (7301) imply:
% 188.87/29.07  | | | | | | | | | | | | | | | |   (7307)   ~ (e2 = e1)
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | REDUCE: (45), (7301) imply:
% 188.87/29.07  | | | | | | | | | | | | | | | |   (7308)  op(e1, e1) = e1
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | |   (7309)   ~ (all_24_2 = e1)
% 188.87/29.07  | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | REDUCE: (318), (7309) imply:
% 188.87/29.07  | | | | | | | | | | | | | | | | |   (7310)   ~ (all_4_2 = e1)
% 188.87/29.07  | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | |   (7311)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.07  | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.07  | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.87/29.07  | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | BETA: splitting (7311) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |   (7312)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | BETA: splitting (7312) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |   (7313)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (7313), (function-axioms) are
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |   (7314)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (7302), (7314),
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            #1973.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |   (7315)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | BETA: splitting (7315) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |   (7316)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7288), (7308), (7316),
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            #1081.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |   (7317)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (7303), (7310), (7317),
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            #1968.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | |   (7318)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.07  | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.87/29.07  | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.87/29.07  | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.07  | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | BETA: splitting (7318) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |   (7319)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | BETA: splitting (7319) gives:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |   (7320)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (7288), (7320),
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            #676.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |   (7321)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (7280), (7288), (7321),
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | |            #1189.
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.07  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.07  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |   (7322)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | BETA: splitting (7322) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |   (7323)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (7323), (function-axioms) are
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |   (7324)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7324) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |   (7325)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7325) implies:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |   (7326)  op(e1, e1) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7308), (7326), (function-axioms) are
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |   (7327)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7327) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |   (7328)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7328) implies:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |   (7329)  op(e1, e0) = e1
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7305), (7329), (function-axioms) are
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |   (7330)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7330) implies:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |   (7331)  op(e0, e0) = all_57_15
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |   (7332)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7332) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | |   (7333)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7333) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |   (7334)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7334) implies:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |   (7335)  op(e2, e2) = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7335), (function-axioms) are
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |   (7336)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7336) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7337)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_1)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7337) implies:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7338)   ~ (all_57_15 = e3)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7288), (7331), (7338), (function-axioms) are
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1276.
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7339)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7339) implies:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7340)   ~ (all_57_15 = e2)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7341)   ~ (all_57_3 = e3)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7342)  op(e0, e2) = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7343)  op(e3, e2) = all_57_3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (7288), (7331)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7344)  all_57_15 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (7342) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7345)  all_52_7 = e0
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_3, e2, e3, simplifying with (170), (7343)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7346)  all_57_3 = all_52_4
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7341), (7346) imply:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7347)   ~ (all_52_4 = e3)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7345) imply:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7348)   ~ (all_52_3 = e0)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (7345) imply:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7349)   ~ (all_52_11 = e0)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7349) implies:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7350)   ~ (all_52_11 = e0)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (7345) imply:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7351)   ~ (all_4_2 = e0)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7351) implies:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7352)   ~ (all_4_2 = e0)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7279), (7345) imply:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (7353)   ~ (e3 = e0)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7354)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7354) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7355)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7355) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7356)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (7288), (7342), (7356),
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1027.
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7357)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7357) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7358)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7358) implies:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7359)  op(e3, e3) = e1
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (159), (373), (7308), (7310),
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7332), (7348), (7350), (7359), (function-axioms)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1930.
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7360)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7360) implies:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7361)  op(e1, e3) = e1
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7302), (7361), (function-axioms) are
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7362)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7362) gives:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7363)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (5649), (7348), (7363),
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #830.
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7364)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (7303), (7310), (7364),
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1110.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7365)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7365) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7366)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7366) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7367)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7367) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7368)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7368) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7369)  op(e2, e2) = e0
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (199), (268), (373), (7310), (7352), (7369),
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1220.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7370)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7370) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7371)  op(e0, e0) = e2
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7288), (7371), (function-axioms) are
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7372)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (7288), (7304), (7372),
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1108.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7373)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7373) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7374)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7374) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7375)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7375) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7376)  op(e3, e3) = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (373), (7308), (7310),
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7332), (7376), (function-axioms) are inconsistent
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1953.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7377)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7377) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7378)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7288), (7342), (7378), (function-axioms) are
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1028.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7379)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7379) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7380)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7380) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7381)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7382)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7382) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7383)  all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7383) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7384)  op(e3, e3) = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (373), (7308), (7310),
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7332), (7384), (function-axioms) are inconsistent
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1953.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7385)  all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7385) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7386)  op(e3, e2) = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (7347), (7386), (function-axioms) are
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7387)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7387) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7388)  all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7388) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7389)  op(e3, e1) = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7381) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7390)  all_57_10 = e1 & op(e3, e3) = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7390) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7391)  op(e3, e3) = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (159), (373), (7308), (7310),
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7332), (7348), (7350), (7391), (function-axioms)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1930.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7392)   ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7392) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7393)   ~ (all_57_6 = e3)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7394)  op(e3, e1) = all_57_6
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7389), (7393), (7394), (function-axioms) are
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #675.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7395)  all_56_9 = e3 & op(e3, e0) = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7395) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7396)  op(e3, e0) = e3
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7280), (7396), (function-axioms) are
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7397)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7397) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7398)  op(e0, e0) = e0
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7288), (7398), (function-axioms) are
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | |   (7399)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7399) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |   (7400)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7400) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |   (7401)  op(e1, e1) = e2
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7308), (7401), (function-axioms) are
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |   (7402)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (5649), (7310), (7402),
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | |            #804.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | |   (7403)  all_24_2 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | |   (7404)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 188.87/29.09  | | | | | | | | | | | | | | | | |             & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 188.87/29.09  | | | | | | | | | | | | | | | | |             $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | |             = all_24_1 & $i(all_24_1))
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (7403) imply:
% 188.87/29.09  | | | | | | | | | | | | | | | | |   (7405)  all_4_2 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | SIMP: (7405) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | |   (7406)  all_4_2 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (7406) imply:
% 188.87/29.09  | | | | | | | | | | | | | | | | |   (7407)  all_44_2 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | REDUCE: (356), (7406) imply:
% 188.87/29.09  | | | | | | | | | | | | | | | | |   (7408)   ~ (all_52_7 = e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | REDUCE: (358), (7406) imply:
% 188.87/29.09  | | | | | | | | | | | | | | | | |   (7409)   ~ (all_52_9 = e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | REDUCE: (360), (7406) imply:
% 188.87/29.09  | | | | | | | | | | | | | | | | |   (7410)   ~ (all_52_13 = e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | REDUCE: (36), (7406) imply:
% 188.87/29.09  | | | | | | | | | | | | | | | | |   (7411)  op(e2, e2) = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | |   (7412)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | BETA: splitting (7412) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | |   (7413)  all_56_0 = e1 & op(e3, e3) = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | ALPHA: (7413) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | |   (7414)  op(e3, e3) = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (7414), (function-axioms) are
% 188.87/29.09  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | |   (7415)  all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | ALPHA: (7415) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | |   (7416)  all_56_2 = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | |   (7417)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (229), (235),
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | |            (5649), (7408), (7416), (7417), (function-axioms)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #801.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | |   (7418)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (7288), (7304), (7418),
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | |            #1114.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.09  | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | |   (7419)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.87/29.09  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 188.87/29.09  | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | BETA: splitting (7419) gives:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | |   (7420)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | ALPHA: (7420) implies:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | |   (7421)  op(e1, e3) = e1
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7302), (7421), (function-axioms) are
% 188.87/29.09  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.09  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.09  | | | | | | | | | | | | | | | | | | |   (7422)  all_56_12 = e1 & op(e0, e3) = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | ALPHA: (7422) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7423)  all_56_12 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7424)  op(e0, e3) = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | |   (7425)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7425) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7426)  all_56_9 = e1 & op(e3, e0) = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7426) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7427)  all_56_9 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7428)  op(e3, e0) = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (7424) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7429)  all_52_3 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (7428) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7430)  all_52_12 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (7429) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7431)   ~ (all_52_1 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (7429) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7432)   ~ (all_52_7 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (7429) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7433)   ~ (all_52_11 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (7430) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7434)   ~ (all_52_4 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (7430) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7435)   ~ (all_52_13 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7430) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7436)   ~ (all_52_14 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | |   (7437)   ~ (all_48_2 = e3)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7277), (7437) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | |   (7438)  $false
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7438) is inconsistent.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | |   (7439)  ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | |             & op(e0, e3) = all_48_1 & $i(all_48_0) &
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | |             $i(all_48_1)) | ( ~ (all_48_1 = e1) & op(e0, e3)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | |             = all_48_1 & $i(all_48_1))
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7275) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |   (7440)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e3) = all_18_1 & $i(all_18_0) &
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_18_1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7440) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |   (7441)  op(e0, e3) = all_18_1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |   (7442)  op(all_18_1, e0) = all_18_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_18_1,
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (7424), (7441) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |   (7443)  all_18_1 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7442), (7443) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |   (7444)  op(e1, e0) = all_18_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7439) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7445)   ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e3) = all_48_1 & $i(all_48_0) &
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_48_1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7445) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7446)   ~ (all_48_0 = e2)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7447)  op(e0, e3) = all_48_1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7448)  op(all_48_1, e0) = all_48_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_48_1,
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (7424), (7447) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7449)  all_48_1 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_18_0, e0, e1, simplifying with (160), (7444)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7450)  all_52_14 = all_18_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (7450) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7451)  all_54_11 = all_18_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (7450) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7452)   ~ (all_52_2 = all_18_0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7450) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7453)   ~ (all_52_6 = all_18_0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7282), (7450) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7454)   ~ (all_18_0 = e3)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7305), (7450) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7455)   ~ (all_18_0 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7448), (7449) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7456)  op(e1, e0) = all_48_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_0,
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_48_0, e0, e1, simplifying with (7444), (7456)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7457)  all_48_0 = all_18_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7446), (7457) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7458)   ~ (all_18_0 = e2)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (7459)  all_54_11 = e3
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7451), (7459) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (7460)  all_18_0 = e3
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7460) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (7461)  all_18_0 = e3
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7454), (7461) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (7462)  $false
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7462) is inconsistent.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (7463)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7463) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7464)  all_54_11 = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7451), (7464) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7465)  all_18_0 = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7465) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7466)  all_18_0 = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7458), (7466) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7467)  $false
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7467) is inconsistent.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7468)   ~ (all_54_11 = e2)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7469)  all_54_11 = e1 | all_54_11 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7469) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7470)  all_54_11 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7451), (7470) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7471)  all_18_0 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7471) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7472)  all_18_0 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7455), (7472) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7473)  $false
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7473) is inconsistent.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7474)  all_54_11 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7451), (7474) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7475)  all_18_0 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7475) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7476)  all_18_0 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7452), (7476) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7477)   ~ (all_52_2 = e0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7453), (7476) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7478)   ~ (all_52_6 = e0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7458), (7476) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7479)   ~ (e2 = e0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7455), (7476) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7480)   ~ (e1 = e0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (36), (97), (110), (117), (123), (125),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (128), (134), (135), (136), (139), (143),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (145), (149), (157), (158), (159), (160), (162),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (193), (195), (196), (197), (200), (203),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (216), (217), (218), (219),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (224), (228), (229), (230), (231), (233),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (248), (250), (258), (259), (260),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (269), (272), (373), (5640), (5641), (5649),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7279), (7280), (7281), (7282), (7287), (7288),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7302), (7303), (7304), (7305), (7308), (7404),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7407), (7408), (7409), (7410), (7411), (7423),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7424), (7427), (7431), (7434), (7441), (7446),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7447), (7448), (7477), (7478), (7480),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #669.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7481)   ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 &
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_48_1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7481) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7482)   ~ (all_48_1 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7483)  op(e0, e3) = all_48_1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7275), (7424), (7482), (7483), (function-axioms)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1035.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |   (7484)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_18_1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7484) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |   (7485)   ~ (all_18_1 = e2)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |   (7486)  op(e0, e3) = all_18_1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_18_1,
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (7424), (7486) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | |   (7487)  all_18_1 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7439) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7488)   ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e3) = all_48_1 & $i(all_48_0) &
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_48_1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7488) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7489)   ~ (all_48_0 = e2)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7490)  op(e0, e3) = all_48_1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7491)  op(all_48_1, e0) = all_48_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_48_1,
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (7424), (7490) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7492)  all_48_1 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7491), (7492) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7493)  op(e1, e0) = all_48_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_48_0, e0, e1, simplifying with (160), (7493)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7494)  all_52_14 = all_48_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (7494) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7495)  all_54_11 = all_48_0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (7494) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7496)   ~ (all_52_2 = all_48_0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7494) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7497)   ~ (all_52_6 = all_48_0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7282), (7494) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7498)   ~ (all_48_0 = e3)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7305), (7494) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7499)   ~ (all_48_0 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (7500)  all_54_11 = e3
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7495), (7498), (7500) are inconsistent by
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1048.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (7501)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7501) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7502)  all_54_11 = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7489), (7495), (7502) are inconsistent by
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1047.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7503)   ~ (all_54_11 = e2)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7504)  all_54_11 = e1 | all_54_11 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7504) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7505)  all_54_11 = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7495), (7499), (7505) are inconsistent by
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1046.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7506)  all_54_11 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7495), (7506) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7507)  all_48_0 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7507) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7508)  all_48_0 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7496), (7508) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7509)   ~ (all_52_2 = e0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7497), (7508) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7510)   ~ (all_52_6 = e0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7489), (7508) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7511)   ~ (e2 = e0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7499), (7508) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7512)   ~ (e1 = e0)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (36), (97), (110), (117), (123), (125),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (128), (134), (135), (136), (139), (143),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (145), (149), (157), (158), (159), (160), (162),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (193), (195), (196), (197), (200), (203),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (216), (217), (218), (219),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (224), (228), (229), (230), (231), (233),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (248), (250), (258), (259), (260),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (269), (272), (373), (5640), (5641), (5649),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7279), (7280), (7281), (7282), (7287), (7288),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7302), (7303), (7304), (7305), (7308), (7404),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7407), (7408), (7409), (7410), (7411), (7423),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7424), (7427), (7431), (7434), (7486), (7489),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7490), (7491), (7509), (7510), (7512),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #669.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7513)   ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 &
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_48_1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7513) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7514)   ~ (all_48_1 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |   (7515)  op(e0, e3) = all_48_1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7275), (7424), (7514), (7515), (function-axioms)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1035.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7516)  all_56_10 = e1 & op(e2, e0) = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7516) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |   (7517)  op(e2, e0) = e1
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7410), (7517), (function-axioms) are
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | |   (7518)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (7288), (7305), (7518),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | |            #1049.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | |   (7519)  all_54_10 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | REF_CLOSE: (336), (7292), (7519) are inconsistent by
% 188.87/29.10  | | | | | | | | | | | | | | | |            sub-proof #932.
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | |   (7520)  all_22_2 = e0
% 188.87/29.10  | | | | | | | | | | | | |   (7521)  ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 188.87/29.10  | | | | | | | | | | | | |             & op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.87/29.10  | | | | | | | | | | | | |             $i(all_22_1)) | ( ~ (all_22_1 = e3) & op(e1, e0)
% 188.87/29.10  | | | | | | | | | | | | |             = all_22_1 & $i(all_22_1))
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | COMBINE_EQS: (251), (7520) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7522)  all_10_2 = e0
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | SIMP: (7522) implies:
% 188.87/29.10  | | | | | | | | | | | | |   (7523)  all_10_2 = e0
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | COMBINE_EQS: (333), (7523) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7524)  all_38_2 = e0
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | REDUCE: (350), (7523) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7525)   ~ (all_52_2 = e0)
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | REDUCE: (361), (7523) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7526)   ~ (all_52_6 = e0)
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | REDUCE: (363), (7523) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7527)   ~ (all_52_8 = e0)
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | REDUCE: (364), (7523) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7528)   ~ (all_52_9 = e0)
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | REDUCE: (366), (7523) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7529)   ~ (all_52_11 = e0)
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | REDUCE: (368), (7523) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7530)   ~ (all_52_14 = e0)
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | REDUCE: (7290), (7523) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7531)   ~ (e3 = e0)
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | REDUCE: (375), (7523) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7532)   ~ (e2 = e0)
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | REDUCE: (45), (7523) imply:
% 188.87/29.10  | | | | | | | | | | | | |   (7533)  op(e1, e1) = e0
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | BETA: splitting (67) gives:
% 188.87/29.10  | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | |   (7534)   ~ (all_24_2 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | REDUCE: (318), (7534) imply:
% 188.87/29.10  | | | | | | | | | | | | | |   (7535)   ~ (all_4_2 = e1)
% 188.87/29.10  | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 188.87/29.10  | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | |   (7536)   ~ (all_32_2 = e0)
% 188.87/29.10  | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | REDUCE: (314), (7536) imply:
% 188.87/29.10  | | | | | | | | | | | | | | |   (7537)   ~ (all_4_2 = e0)
% 188.87/29.10  | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | |   (7538)  all_54_5 = e3
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (7538) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | |   (7539)  all_4_2 = e3
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | REDUCE: (373), (7539) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | |   (7540)  $false
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | CLOSE: (7540) is inconsistent.
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | |   (7541)   ~ (all_54_5 = e3)
% 188.87/29.10  | | | | | | | | | | | | | | | |   (7542)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | BETA: splitting (7542) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | |   (7543)  all_54_5 = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (7543) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | |   (7544)  all_4_2 = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | REDUCE: (360), (7544) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | |   (7545)   ~ (all_52_13 = e2)
% 188.87/29.10  | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | REDUCE: (373), (7544) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | |   (7546)   ~ (e3 = e2)
% 188.87/29.10  | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | REDUCE: (36), (7544) imply:
% 188.87/29.10  | | | | | | | | | | | | | | | | |   (7547)  op(e2, e2) = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | |   (7548)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | BETA: splitting (7548) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7549)  all_56_6 = e2 & op(e1, e3) = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (7549), (function-axioms) are
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7550)  all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | ALPHA: (7550) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7551)  all_56_7 = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7552)  op(e1, e2) = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (164), (168),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |            (211), (214), (216), (5645), (7282), (7288),
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |            (7533), (7545), (7551), (7552), (function-axioms)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #666.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.10  | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | |   (7553)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.87/29.10  | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 188.87/29.10  | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | BETA: splitting (7553) gives:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7554)  all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | ALPHA: (7554) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7555)  op(e1, e1) = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7555), (function-axioms) are
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7556)  all_56_11 = e2 & op(e1, e0) = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | ALPHA: (7556) implies:
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7557)  all_56_11 = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | |   (7558)  op(e1, e0) = e2
% 188.87/29.10  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | |   (7559)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7559) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7560)  all_56_4 = e2 & op(e3, e1) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7560) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7561)  all_56_4 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | |   (7562)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7562) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7563)  all_56_12 = e2 & op(e0, e3) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7563) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7564)  all_56_12 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7565)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7565) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7566)  all_56_0 = e0 & op(e3, e3) = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7566) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7567)  op(e3, e3) = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (7567), (function-axioms) are
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7568)  all_56_2 = e0 & op(e2, e3) = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7568) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7569)  all_56_2 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7570)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7570) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7571)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7571) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7572)  all_56_6 = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5649), (7564), (7569),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7572), (function-axioms) are inconsistent by
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #741.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7573)  all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7573) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7574)  all_56_7 = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7575)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5649), (7569), (7575),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #756.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7576)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7576) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7577)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7577) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7578)  all_56_6 = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (7533), (7557), (7574),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7578), (function-axioms) are inconsistent by
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1617.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7579)  all_56_12 = e1 & op(e0, e3) = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7579) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7580)  all_56_12 = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7564), (7580) are inconsistent by sub-proof
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7581)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7533), (7557), (7581),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1491.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7582)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7582) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7583)  all_56_6 = e0 & op(e1, e3) = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7525), (7583), (function-axioms) are
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7584)  all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (7533), (7561), (7564), (7584), (function-axioms)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #665.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7585)  all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7585) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7586)  all_56_13 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7587)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7587) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7588)  all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7588) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7589)  op(e3, e3) = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (141), (143), (157), (160), (162), (163),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (199), (206), (210),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (213), (214), (215), (216), (218), (219),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (222), (223), (224), (226), (227),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (268), (309), (314), (349), (358),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (360), (373), (7280), (7281), (7282), (7287),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (7288), (7525), (7528), (7529), (7530), (7533),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            (7535), (7589), (function-axioms) are inconsistent
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1010.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7590)  all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7590) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7591)  all_56_1 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7592)  op(e3, e2) = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7593)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (7547), (7591), (7593),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            #728.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7594)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7594) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7595)  all_56_7 = e0 & op(e1, e2) = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7595) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7596)  all_56_7 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (7547), (7586), (7592),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7596), (function-axioms) are inconsistent by
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #727.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7597)  all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7533), (7561), (7586), (7597), (function-axioms)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #664.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7598)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7598) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7599)  all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7599) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7600)  all_56_4 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7561), (7600) are inconsistent by sub-proof
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            #1404.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7601)  all_56_9 = e3 & op(e3, e0) = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7601) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7602)  op(e3, e0) = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7280), (7602), (function-axioms) are
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | |   (7603)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7603) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7604)  all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7604) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7605)  all_56_14 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (7533),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |            (7561), (7605), (function-axioms) are inconsistent
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #663.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7606)  all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7606) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7607)  op(e0, e0) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7288), (7607), (function-axioms) are
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7608)  all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7608) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7609)  op(e2, e1) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (7535), (7537), (7542),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |            (7609), (function-axioms) are inconsistent by
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1940.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | |   (7610)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7610) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7611)  all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7611) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7612)  op(e1, e1) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7612), (function-axioms) are
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7613)  all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7613) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7614)  all_56_14 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7615)  op(e0, e1) = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |              e2, e1, e0, simplifying with (157), (7615) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7616)  all_52_11 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |              e2, e0, e1, simplifying with (160), (7558) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7617)  all_52_14 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (7616) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | |   (7618)   ~ (all_52_9 = e2)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | |   (7619)   ~ (all_38_2 = e0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7524), (7619) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | |   (7620)  $false
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7620) is inconsistent.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | |   (7621)  ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | |             $i(all_38_1)) | ( ~ (all_38_1 = e2) & op(e1, e0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | |             = all_38_1 & $i(all_38_1))
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7521) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7622)   ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 &
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7622) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7623)  op(e1, e0) = all_22_1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7624)  op(all_22_1, e1) = all_22_0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_22_1,
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (7558), (7623) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7625)  all_22_1 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7624), (7625) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | |   (7626)  op(e2, e1) = all_22_0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7621) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7627)   ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 &
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7627) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7628)   ~ (all_38_0 = e3)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7629)  op(e1, e0) = all_38_1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7630)  op(all_38_1, e1) = all_38_0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (7558), (7629) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7631)  all_38_1 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |              all_22_0, e1, e2, simplifying with (165), (7626)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7632)  all_52_9 = all_22_0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7632) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7633)  all_54_6 = all_22_0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7632) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7634)   ~ (all_52_1 = all_22_0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (7632) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7635)   ~ (all_52_8 = all_22_0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7632) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7636)   ~ (all_52_13 = all_22_0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7636) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7637)   ~ (all_52_13 = all_22_0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7618), (7632) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7638)   ~ (all_22_0 = e2)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7528), (7632) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7639)   ~ (all_22_0 = e0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7630), (7631) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7640)  op(e2, e1) = all_38_0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_0,
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |              all_38_0, e1, e2, simplifying with (7626), (7640)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7641)  all_38_0 = all_22_0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7628), (7641) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | |   (7642)   ~ (all_22_0 = e3)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7643)  all_54_6 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7643) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7644)  all_22_0 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7644) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7645)  all_22_0 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7642), (7645) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7646)  $false
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7646) is inconsistent.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (7647)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7648)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7648) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7649)  all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7649) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7650)  all_56_2 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7651)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (7547), (7650), (7651),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #662.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7652)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7652) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7653)  all_56_5 = e0 & op(e2, e1) = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7653) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7654)  all_56_5 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7533), (7654), (function-axioms) are inconsistent
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1551.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7655)  all_56_10 = e0 & op(e2, e0) = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7655) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7656)  all_56_10 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7657)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7657) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7658)  all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7658) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7659)  all_56_4 = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7660)  op(e3, e1) = e3
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7661)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7547), (7650), (7661),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #661.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7662)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7662) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7663)  all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7663) implies:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7664)  all_56_5 = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7647) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7665)  all_54_6 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7665) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7666)  all_22_0 = e2
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7638), (7666) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7667)  $false
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7667) is inconsistent.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7668)   ~ (all_54_6 = e2)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7669)  all_54_6 = e1 | all_54_6 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7669) gives:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7670)  all_54_6 = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7670) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7671)  all_22_0 = e1
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7634), (7671) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7672)   ~ (all_52_1 = e1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7635), (7671) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7673)   ~ (all_52_8 = e1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7637), (7671) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7674)   ~ (all_52_13 = e1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7638), (7671) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7675)   ~ (e2 = e1)
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (79), (85), (113), (117),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (120), (134), (139), (141), (143), (145),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (146), (157), (158), (159), (160), (162), (163),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (197),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (200), (202), (206), (207), (209), (210),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (213), (214), (215), (216), (218), (219),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (222), (223), (224), (226), (227),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (233), (238), (239),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (260), (261), (268), (269), (271), (309), (314),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (358), (360), (373), (5640), (5644),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5649), (7279), (7281), (7287), (7288), (7525),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7527), (7528), (7529), (7530), (7533), (7535),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7537), (7542), (7545), (7547), (7614), (7650),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7659), (7660), (7664), (7669), (7672), (7673),
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7674), (function-axioms) are inconsistent by
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #651.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7676)  all_54_6 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7676) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7677)  all_22_0 = e0
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7639), (7677) imply:
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7678)  $false
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7678) is inconsistent.
% 188.87/29.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7679)  all_56_10 = e1 & op(e2, e0) = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7656), (7679) are inconsistent by sub-proof
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1448.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7680)  all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7680) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7681)  all_56_5 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (222), (223), (224), (373), (7533),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7547), (7650), (7656), (7681), (function-axioms)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #649.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7682)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (7533), (7614), (7682),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #912.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7683)  all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7683) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7684)  op(e2, e2) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7684), (function-axioms) are
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7685)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7685) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7686)  all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7686) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7687)  all_56_5 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7688)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7688) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7689)  all_56_4 = e1 & op(e3, e1) = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7689) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7690)  op(e3, e1) = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7647) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7691)  all_54_6 = e2
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7691) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7692)  all_22_0 = e2
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7692) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7693)  all_22_0 = e2
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7638), (7693) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7694)  $false
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7694) is inconsistent.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7695)  all_54_6 = e1 | all_54_6 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7695) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7696)  all_54_6 = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7696) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7697)  all_22_0 = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7697) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7698)  all_22_0 = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7635), (7698) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7699)   ~ (all_52_8 = e1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7690), (7699), (function-axioms) are
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7700)  all_54_6 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7700) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7701)  all_22_0 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7701) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7702)  all_22_0 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7639), (7702) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7703)  $false
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7703) is inconsistent.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7704)  all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7704) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7705)  all_56_5 = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7687), (7705) are inconsistent by sub-proof
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1825.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7706)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (118), (157), (261), (7528), (7533), (7618),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7647), (7706), (function-axioms) are inconsistent
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #647.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7707)  all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7281), (7707), (function-axioms) are
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7708)   ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7558), (7708), (function-axioms) are inconsistent
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #768.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | |   (7709)   ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7709) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | |   (7710)   ~ (all_22_1 = e3)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | |   (7711)  op(e1, e0) = all_22_1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_22_1,
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (7558), (7711) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | |   (7712)  all_22_1 = e2
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7621) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7713)   ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_38_1 & $i(all_38_0) &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7713) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7714)   ~ (all_38_0 = e3)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7715)  op(e1, e0) = all_38_1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7716)  op(all_38_1, e1) = all_38_0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (7558), (7715) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7717)  all_38_1 = e2
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7716), (7717) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7718)  op(e2, e1) = all_38_0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |              all_38_0, e1, e2, simplifying with (165), (7718)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7719)  all_52_9 = all_38_0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7719) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7720)  all_54_6 = all_38_0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7719) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7721)   ~ (all_52_1 = all_38_0)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (7719) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7722)   ~ (all_52_8 = all_38_0)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7719) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7723)   ~ (all_52_13 = all_38_0)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7723) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7724)   ~ (all_52_13 = all_38_0)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7618), (7719) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7725)   ~ (all_38_0 = e2)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7528), (7719) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7726)   ~ (all_38_0 = e0)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (7727)  all_54_6 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7720), (7727) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (7728)  all_38_0 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7714), (7728) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (7729)  $false
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7729) is inconsistent.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (7730)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7730) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7731)  all_54_6 = e2
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7720), (7731) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7732)  all_38_0 = e2
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7725), (7732) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7733)  $false
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7733) is inconsistent.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7734)   ~ (all_54_6 = e2)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7735)  all_54_6 = e1 | all_54_6 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7736)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7736) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7737)  all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7737) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7738)  all_56_2 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7739)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (7547), (7738), (7739),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #662.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7740)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7740) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7741)  all_56_5 = e0 & op(e2, e1) = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7741) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7742)  all_56_5 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7533), (7742), (function-axioms) are inconsistent
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1551.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7743)  all_56_10 = e0 & op(e2, e0) = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7743) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7744)  all_56_10 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7745)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7745) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7746)  all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7746) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7747)  all_56_4 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7748)  op(e3, e1) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7749)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7749) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7750)  all_56_4 = e1 & op(e3, e1) = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7750) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7751)  op(e3, e1) = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7748), (7751), (function-axioms) are
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7752)  all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7752) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7753)  all_56_5 = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7735) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7754)  all_54_6 = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7720), (7754) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7755)  all_38_0 = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7755) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7756)  all_38_0 = e1
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7721), (7756) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7757)   ~ (all_52_1 = e1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7722), (7756) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7758)   ~ (all_52_8 = e1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7724), (7756) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7759)   ~ (all_52_13 = e1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7725), (7756) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7760)   ~ (e2 = e1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (79), (85), (113), (117),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (120), (134), (139), (141), (143), (145),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (146), (157), (158), (159), (160), (162), (163),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (197),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (199), (200), (202), (206), (207), (209), (210),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (213), (214), (215), (216), (218), (219),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (222), (223), (224), (226), (227),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (233), (238), (239),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (260), (261), (268), (269), (271), (309), (314),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (358), (360), (373), (5640), (5644),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5649), (7279), (7281), (7287), (7288), (7525),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7527), (7528), (7529), (7530), (7533), (7535),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7537), (7542), (7545), (7547), (7614), (7735),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7738), (7747), (7748), (7753), (7757), (7758),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7759), (function-axioms) are inconsistent by
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #651.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7761)  all_54_6 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7720), (7761) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7762)  all_38_0 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7762) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7763)  all_38_0 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7726), (7763) imply:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7764)  $false
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7764) is inconsistent.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7765)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (118), (157), (261), (7528), (7533), (7735),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7765), (function-axioms) are inconsistent by
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #778.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7766)  all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7766) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7767)  all_56_5 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (222), (223), (224), (373), (7533),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7547), (7738), (7744), (7767), (function-axioms)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #649.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7768)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (7533), (7614), (7768),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #912.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7769)  all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7769) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7770)  op(e2, e2) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7770), (function-axioms) are
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7771)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7771) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7772)  all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7772) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7773)  all_56_5 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (118), (157), (169), (218), (261),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7528), (7533), (7720), (7722), (7726), (7735),
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7773), (function-axioms) are inconsistent by
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #777.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7774)  all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7281), (7774), (function-axioms) are
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |   (7775)   ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7558), (7775), (function-axioms) are inconsistent
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #768.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | |   (7776)  all_54_5 = e1 | all_54_5 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (7535), (7537), (7776) are inconsistent by
% 188.87/29.12  | | | | | | | | | | | | | | | | |            sub-proof #1941.
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | End of split
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | |   (7777)  all_32_2 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | COMBINE_EQS: (314), (7777) imply:
% 188.87/29.12  | | | | | | | | | | | | | | |   (7778)  all_4_2 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | SIMP: (7778) implies:
% 188.87/29.12  | | | | | | | | | | | | | | |   (7779)  all_4_2 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | COMBINE_EQS: (309), (7779) imply:
% 188.87/29.12  | | | | | | | | | | | | | | |   (7780)  all_36_2 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | REDUCE: (352), (7779) imply:
% 188.87/29.12  | | | | | | | | | | | | | | |   (7781)   ~ (all_52_4 = e0)
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | REDUCE: (356), (7779) imply:
% 188.87/29.12  | | | | | | | | | | | | | | |   (7782)   ~ (all_52_7 = e0)
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | REDUCE: (360), (7779) imply:
% 188.87/29.12  | | | | | | | | | | | | | | |   (7783)   ~ (all_52_13 = e0)
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | REDUCE: (7535), (7779) imply:
% 188.87/29.12  | | | | | | | | | | | | | | |   (7784)   ~ (e1 = e0)
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | REDUCE: (36), (7779) imply:
% 188.87/29.12  | | | | | | | | | | | | | | |   (7785)  op(e2, e2) = e0
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | |   (7786)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.87/29.12  | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 188.87/29.12  | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (164),
% 188.87/29.12  | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (5649), (7281),
% 188.87/29.12  | | | | | | | | | | | | | | | |            (7780), (7785), (7786), (function-axioms) are
% 188.87/29.12  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #832.
% 188.87/29.12  | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | |   (7787)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.87/29.12  | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 188.87/29.12  | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | BETA: splitting (7787) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | |   (7788)  all_56_6 = e0 & op(e1, e3) = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7525), (7788), (function-axioms) are
% 188.87/29.12  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | |   (7789)  all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | ALPHA: (7789) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | |   (7790)  op(e0, e3) = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | |   (7791)  all_56_15 = e0 & op(e0, e0) = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | ALPHA: (7791) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | |   (7792)  op(e0, e0) = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7288), (7792), (function-axioms) are
% 188.87/29.12  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 188.87/29.12  | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | |   (7793)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.87/29.12  | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.87/29.12  | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.87/29.12  | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | ALPHA: (7793) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | |   (7794)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 188.87/29.12  | | | | | | | | | | | | | | | | | |               e0) = e0)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | BETA: splitting (7794) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | |   (7795)  all_56_9 = e0 & op(e3, e0) = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | ALPHA: (7795) implies:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | |   (7796)  op(e3, e0) = e0
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |   (7797)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7797) gives:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.12  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |   (7798)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7798) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |   (7799)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (7799), (function-axioms) are
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |   (7800)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7790), (7800), (function-axioms) are
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1022.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |   (7801)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7801) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |   (7802)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (7288), (7533), (7802),
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |            #1394.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |   (7803)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7803) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7804)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7804) implies:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7805)   ~ (all_57_3 = e3)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7806)  op(e1, e2) = e1
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7807)  op(e3, e2) = all_57_3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (7806) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7808)  all_52_6 = e1
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |              all_57_3, e2, e3, simplifying with (170), (7807)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7809)  all_57_3 = all_52_4
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7805), (7809) imply:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7810)   ~ (all_52_4 = e3)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (7808) imply:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7811)   ~ (all_52_4 = e1)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (203), (272), (5643), (7781), (7810), (7811) are
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #646.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7812)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (7288), (7785), (7812),
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |            #1393.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |   (7813)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7813) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |   (7814)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7814) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |   (7815)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (7288), (7815),
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |            #676.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |   (7816)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7288), (7796), (7816),
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |            #1382.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |   (7817)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7817) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |   (7818)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (7818), (function-axioms) are
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |   (7819)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7819) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7820)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7820) implies:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7821)   ~ (all_57_12 = e0)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7822)  op(e2, e2) = all_57_12
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7785), (7821), (7822), (function-axioms) are
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1381.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |   (7823)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7823) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |   (7824)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7824) implies:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |   (7825)   ~ (all_57_14 = e0)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |   (7826)  op(e1, e1) = all_57_14
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7533), (7825), (7826), (function-axioms) are
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |   (7827)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7827) implies:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |   (7828)  op(e0, e0) = all_57_15
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |   (7829)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7829) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7830)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7830) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7831)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7831) implies:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7832)  op(e2, e2) = e3
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7832), (function-axioms) are
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7833)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7833) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7834)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_1)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7834) implies:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7835)   ~ (all_57_15 = e3)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7288), (7828), (7835), (function-axioms) are
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1276.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7836)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7836) implies:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7837)  op(e0, e2) = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (7837) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7838)  all_52_7 = e0
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7782), (7838) imply:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7839)  $false
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7839) is inconsistent.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7840)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7840) gives:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7841)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7841) implies:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7842)  op(e1, e1) = e2
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7842), (function-axioms) are
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7843)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (157), (373), (7529),
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |            (7533), (7785), (7829), (7843), (function-axioms)
% 188.87/29.13  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #763.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | |   (7844)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | BETA: splitting (7844) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |   (7845)  all_56_10 = e0 & op(e2, e0) = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (7845) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |   (7846)  op(e2, e0) = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7783), (7846), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |   (7847)  all_56_11 = e0 & op(e1, e0) = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (7847) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |   (7848)  op(e1, e0) = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7530), (7848), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | |   (7849)  all_24_2 = e1
% 188.87/29.14  | | | | | | | | | | | | | |   (7850)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 188.87/29.14  | | | | | | | | | | | | | |             & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 188.87/29.14  | | | | | | | | | | | | | |             $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 188.87/29.14  | | | | | | | | | | | | | |             = all_24_1 & $i(all_24_1))
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | COMBINE_EQS: (318), (7849) imply:
% 188.87/29.14  | | | | | | | | | | | | | |   (7851)  all_4_2 = e1
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | COMBINE_EQS: (292), (7851) imply:
% 188.87/29.14  | | | | | | | | | | | | | |   (7852)  all_44_2 = e1
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | REDUCE: (349), (7851) imply:
% 188.87/29.14  | | | | | | | | | | | | | |   (7853)   ~ (all_52_1 = e1)
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | REDUCE: (352), (7851) imply:
% 188.87/29.14  | | | | | | | | | | | | | |   (7854)   ~ (all_52_4 = e1)
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | REDUCE: (354), (7851) imply:
% 188.87/29.14  | | | | | | | | | | | | | |   (7855)   ~ (all_52_6 = e1)
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | REDUCE: (356), (7851) imply:
% 188.87/29.14  | | | | | | | | | | | | | |   (7856)   ~ (all_52_7 = e1)
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | REDUCE: (358), (7851) imply:
% 188.87/29.14  | | | | | | | | | | | | | |   (7857)   ~ (all_52_9 = e1)
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | REDUCE: (360), (7851) imply:
% 188.87/29.14  | | | | | | | | | | | | | |   (7858)   ~ (all_52_13 = e1)
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | REDUCE: (373), (7851) imply:
% 188.87/29.14  | | | | | | | | | | | | | |   (7859)   ~ (e3 = e1)
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | REDUCE: (36), (7851) imply:
% 188.87/29.14  | | | | | | | | | | | | | |   (7860)  op(e2, e2) = e1
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 188.87/29.14  | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | |   (7861)  all_54_12 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | REF_CLOSE: (249), (7278), (7861) are inconsistent by
% 188.87/29.14  | | | | | | | | | | | | | | |            sub-proof #1466.
% 188.87/29.14  | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | |   (7862)   ~ (all_54_12 = e3)
% 188.87/29.14  | | | | | | | | | | | | | | |   (7863)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 188.87/29.14  | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | |   (7864)  all_54_8 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7864) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | |   (7865)  all_52_2 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | REDUCE: (149), (7865) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | |   (7866)   ~ (all_52_1 = e3)
% 188.87/29.14  | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | REDUCE: (144), (7865) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | |   (7867)   ~ (all_52_3 = e3)
% 188.87/29.14  | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | REDUCE: (143), (7865) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | |   (7868)   ~ (all_52_6 = e3)
% 188.87/29.14  | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | SIMP: (7868) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | |   (7869)   ~ (all_52_6 = e3)
% 188.87/29.14  | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | REDUCE: (141), (7865) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | |   (7870)   ~ (all_52_14 = e3)
% 188.87/29.14  | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | |   (7871)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 188.87/29.14  | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | BETA: splitting (7871) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | |   (7872)  all_56_6 = e3 & op(e1, e3) = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | ALPHA: (7872) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | |   (7873)  all_56_6 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | |   (7874)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | BETA: splitting (7874) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |   (7875)  all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (7875) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |   (7876)  all_56_2 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |            (7873), (7876), (function-axioms) are inconsistent
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1458.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |   (7877)  all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (7877) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |   (7878)  op(e2, e2) = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7860), (7878), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | |   (7879)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | BETA: splitting (7879) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |   (7880)  all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (7880) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | |   (7881)  all_56_5 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | |   (7882)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7882) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | |   (7883)  all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7883) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | |   (7884)  all_56_1 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | |   (7885)  op(e3, e2) = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | |   (7886)  all_54_4 = e3
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (7866), (7886) are inconsistent by
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | |   (7887)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | |   (7888)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7888) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (7889)  all_56_0 = e1 & op(e3, e3) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7889) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (7890)  op(e3, e3) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (7890), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (7891)  all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7891) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (7892)  all_56_2 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (7533), (7860), (7881), (7892),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |            #1017.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | |   (7893)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7893) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (7894)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7873), (7894) are inconsistent by sub-proof
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |            #1569.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (7895)  all_56_12 = e1 & op(e0, e3) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7895) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (7896)  all_56_12 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7897)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5640), (7860), (7897),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            #797.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7898)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7898) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7899)  all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7899) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7900)  all_56_5 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7881), (7900) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7901)  e3 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7873), (7901) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7902)  all_56_6 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (7282), (7533),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7869), (7902), (function-axioms) are inconsistent
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1405.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7903)  all_56_10 = e2 & op(e2, e0) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7903) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7904)  op(e2, e0) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7905)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7905) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7906)  all_56_4 = e2 & op(e3, e1) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7906) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7907)  all_56_4 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7908)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7533), (7860), (7881), (7884), (7908),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #645.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7909)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7909) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7910)  all_56_7 = e0 & op(e1, e2) = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7910) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7911)  all_56_7 = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7912)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (165), (7857), (7907), (7912),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1754.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7913)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7913) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7914)  all_56_8 = e1 & op(e1, e1) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7914) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7915)  op(e1, e1) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7533), (7915), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7916)  all_56_14 = e1 & op(e0, e1) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7916) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7917)  all_56_14 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7918)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7860), (7885), (7918),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #644.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7919)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7919) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7920)  all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (7533), (7881), (7907),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7911), (7917), (7920), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #643.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7921)  all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7921) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7922)  all_56_13 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7923)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7923) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7924)  all_56_6 = e2 & op(e1, e3) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7924) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7925)  all_56_6 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (7282), (7533),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7869), (7925), (function-axioms) are inconsistent
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1405.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7926)  all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (7533), (7881), (7907),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7911), (7917), (7926), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #643.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7927)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7927) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7928)  all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7928) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7929)  op(e1, e1) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7929), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7930)  all_56_11 = e2 & op(e1, e0) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7930) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7931)  all_56_11 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7932)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7932) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7933)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7933) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7934)  all_56_6 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (7533), (7911), (7931),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7934), (function-axioms) are inconsistent by
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1524.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7935)  all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7935) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7936)  op(e1, e2) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7855), (7936), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7937)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7937) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7938)  all_56_8 = e1 & op(e1, e1) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7938) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7939)  op(e1, e1) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7533), (7939), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7940)  all_56_11 = e1 & op(e1, e0) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7940) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7941)  all_56_11 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7931), (7941) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7942)  e2 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7907), (7942) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7943)  all_56_4 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (218),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (7287), (7529), (7533), (7881),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7896), (7922), (7943), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7944)  all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7944) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7945)  all_56_13 = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7946)  op(e0, e2) = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7947)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (103), (112), (117), (118), (120), (121),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (128), (133), (134), (135), (136),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (140), (143), (144), (145), (146), (148),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (162), (164), (165),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (190), (191), (192), (196),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (198), (201), (202), (203), (206), (207),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (210), (211), (214), (216), (217), (218),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (223), (224), (227), (228),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (231), (232), (233), (238), (239), (247),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (248), (249), (259), (260), (261), (269), (270),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (272), (5640), (5642), (5649), (7275),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7277), (7278), (7280), (7281), (7282), (7287),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7288), (7525), (7527), (7529), (7530), (7533),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7850), (7852), (7853), (7854), (7855), (7857),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7858), (7860), (7863), (7881), (7887), (7946),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7947), (function-axioms) are inconsistent by
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #639.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7948)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7948) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7949)  all_56_8 = e1 & op(e1, e1) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7949) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7950)  op(e1, e1) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7533), (7950), (function-axioms) are
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7951)  all_56_14 = e1 & op(e0, e1) = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7951) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7952)  all_56_14 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7953)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7953) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7954)  all_56_12 = e2 & op(e0, e3) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7954) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7955)  all_56_12 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7896), (7955) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7956)  e2 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7956) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7957)  e2 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7907), (7957) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7958)  all_56_4 = e1
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (103), (112), (117), (118), (120), (121),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (128), (133), (134), (135), (136),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (140), (143), (144), (145), (146), (148),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (162), (164), (165),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (190), (191), (192), (196),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (197), (198), (201), (202), (203), (206), (207),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (210), (211), (214), (216), (217), (218),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (223), (224), (227), (228),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (231), (232), (233), (238), (239), (247),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (248), (249), (259), (260), (261), (269), (270),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (272), (5640), (5642), (5649), (7275),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7277), (7278), (7280), (7281), (7282), (7287),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7288), (7525), (7527), (7529), (7530), (7533),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7850), (7852), (7853), (7854), (7855), (7857),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7858), (7860), (7863), (7881), (7887), (7946),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7958), (function-axioms) are inconsistent by
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #640.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7959)  all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7959) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7960)  all_56_13 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7945), (7960) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7961)  e2 = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7961) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7962)  e2 = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7907), (7962) imply:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7963)  all_56_4 = e0
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (7533), (7881), (7952),
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7963), (function-axioms) are inconsistent by
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1813.
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7964)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7964) gives:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7965)  all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7965) implies:
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7966)  all_56_14 = e2
% 188.87/29.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (97), (103), (112), (117), (118), (120),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (123), (125), (128), (133), (134), (135),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (139), (140), (143), (144), (145), (146),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (148), (157), (158), (159), (160), (162), (164),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (168), (169), (170), (190), (191), (192),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (198), (201), (202), (203), (206),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (210), (211), (214), (216), (217),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (221), (223), (224), (227),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (230), (231), (232), (233), (238), (239),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (248), (249), (259), (260), (261), (269),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (270), (271), (272), (5640), (5642), (5649),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7275), (7277), (7278), (7280), (7281), (7282),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7287), (7288), (7525), (7527), (7529), (7530),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7533), (7850), (7852), (7853), (7854), (7855),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7857), (7858), (7860), (7863), (7881), (7887),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7946), (7966), (function-axioms) are inconsistent
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #638.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7967)  all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7967) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7968)  op(e0, e0) = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7288), (7968), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7969)  all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7969) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7970)  op(e2, e1) = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (7904), (7970),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7971)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7971) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7972)  all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7972) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7973)  op(e1, e1) = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7533), (7973), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7974)  all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7974) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7975)  all_56_14 = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7976)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7533), (7860), (7881), (7884), (7976),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #645.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7977)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7977) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7978)  all_56_7 = e0 & op(e1, e2) = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7978) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7979)  all_56_7 = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7980)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7860), (7885), (7980),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #644.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7981)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7981) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7982)  all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7982) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7983)  all_56_7 = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7979), (7983) are inconsistent by sub-proof
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1868.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7984)  all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7984) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7985)  all_56_13 = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7986)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7986) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7987)  all_56_4 = e1 & op(e3, e1) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7987) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7988)  all_56_4 = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (218),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (7287), (7529), (7533), (7881),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7896), (7985), (7988), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7989)  all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7989) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7990)  op(e2, e1) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7857), (7990), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7991)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7533), (7975), (7991),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1509.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7992)  all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7992) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7993)  op(e0, e2) = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (97), (103), (112), (117), (118), (120),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (123), (125), (128), (133), (134), (135),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (139), (140), (143), (144), (145), (146),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (148), (157), (158), (159), (160), (162), (164),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (168), (169), (170), (190), (191), (192),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (198), (201), (202), (203), (206),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (210), (211), (214), (216), (217),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (221), (223), (224), (227),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (230), (231), (232), (233), (238), (239),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (248), (249), (259), (260), (261), (269),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (270), (271), (272), (5640), (5642), (5649),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7275), (7277), (7278), (7280), (7281), (7282),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7287), (7288), (7525), (7527), (7529), (7530),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7533), (7850), (7852), (7853), (7854), (7855),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7857), (7858), (7860), (7863), (7881), (7887),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7975), (7993), (function-axioms) are inconsistent
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #638.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (7994)  all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7994) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (7995)  op(e2, e2) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7860), (7995), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |   (7996)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7996) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (7997)  all_56_7 = e3 & op(e1, e2) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7997) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (7998)  all_56_7 = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |            (7533), (7873), (7998), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (7999)  all_56_13 = e3 & op(e0, e2) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7999) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (8000)  all_56_13 = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (165),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (218), (219), (220), (7287),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |            (7288), (7529), (7533), (7856), (7857), (7881),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |            (8000), (function-axioms) are inconsistent by
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #986.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |   (8001)  all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7281), (8001), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | |   (8002)  all_56_7 = e3 & op(e1, e2) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | ALPHA: (8002) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | |   (8003)  op(e1, e2) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7869), (8003), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | |   (8004)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 188.87/29.15  | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (7282), (7533), (8004),
% 188.87/29.15  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.15  | | | | | | | | | | | | | | | | |            #1406.
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | |   (8005)   ~ (all_54_8 = e3)
% 188.87/29.15  | | | | | | | | | | | | | | | |   (8006)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | REDUCE: (259), (8005) imply:
% 188.87/29.15  | | | | | | | | | | | | | | | |   (8007)   ~ (all_52_2 = e3)
% 188.87/29.15  | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | BETA: splitting (8006) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | |   (8008)  all_54_8 = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8008) imply:
% 188.87/29.15  | | | | | | | | | | | | | | | | |   (8009)  all_52_2 = e2
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | REDUCE: (5641), (8009) imply:
% 188.87/29.15  | | | | | | | | | | | | | | | | |   (8010)  $false
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | CLOSE: (8010) is inconsistent.
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | |   (8011)   ~ (all_54_8 = e2)
% 188.87/29.15  | | | | | | | | | | | | | | | | |   (8012)  all_54_8 = e1 | all_54_8 = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | BETA: splitting (8012) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | |   (8013)  all_54_8 = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8013) imply:
% 188.87/29.15  | | | | | | | | | | | | | | | | | |   (8014)  all_52_2 = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | REDUCE: (144), (8014) imply:
% 188.87/29.15  | | | | | | | | | | | | | | | | | |   (8015)   ~ (all_52_3 = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | SIMP: (8015) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | |   (8016)   ~ (all_52_3 = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | REDUCE: (143), (8014) imply:
% 188.87/29.15  | | | | | | | | | | | | | | | | | |   (8017)   ~ (all_52_6 = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | REDUCE: (141), (8014) imply:
% 188.87/29.15  | | | | | | | | | | | | | | | | | |   (8018)   ~ (all_52_14 = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | SIMP: (8018) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | |   (8019)   ~ (all_52_14 = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | REDUCE: (5641), (8014) imply:
% 188.87/29.15  | | | | | | | | | | | | | | | | | |   (8020)   ~ (e2 = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | |   (8021)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | BETA: splitting (8021) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |   (8022)  all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | ALPHA: (8022) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |   (8023)  op(e3, e3) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (8023), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |   (8024)  all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | ALPHA: (8024) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |   (8025)  all_56_2 = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |   (8026)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (7856), (8016), (8026),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |            #1321.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |   (8027)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8027) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (8028)  all_56_14 = e1 & op(e0, e1) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8028) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (8029)  all_56_14 = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | |   (8030)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8030) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |   (8031)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8031) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |   (8032)  all_56_6 = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |   (8033)  op(e1, e3) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (126), (136),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            (140), (158), (160), (162), (163), (164), (168),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            (170), (193), (195), (210), (211), (213), (214),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (219), (220), (221), (226), (228),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (233), (236), (239), (249),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            (250), (258), (5642), (5645), (5649), (7278),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            (7279), (7280), (7282), (7288), (7525), (7526),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            (7530), (7533), (7855), (7856), (7858), (7860),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            (7863), (8016), (8019), (8025), (8029), (8032),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            (8033), (function-axioms) are inconsistent by
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #631.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |   (8034)  all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8034) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |   (8035)  op(e1, e2) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7855), (8035), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | |   (8036)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (7533), (8019), (8036),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | |            #1528.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (8037)  all_56_15 = e1 & op(e0, e0) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8037) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (8038)  op(e0, e0) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7288), (8038), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | |   (8039)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | BETA: splitting (8039) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |   (8040)  all_56_6 = e3 & op(e1, e3) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | ALPHA: (8040) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |   (8041)  op(e1, e3) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8007), (8041), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |   (8042)  all_56_12 = e3 & op(e0, e3) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | ALPHA: (8042) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | |   (8043)  all_56_12 = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |   (8044)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (7856), (8016), (8044),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |            #1321.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |   (8045)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8045) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (8046)  all_56_14 = e1 & op(e0, e1) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8046) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | |   (8047)  all_56_14 = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | |   (8048)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8048) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |   (8049)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8049) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |   (8050)  all_56_6 = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | |   (8051)  op(e1, e3) = e1
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (8052)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8052) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8053)  all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8053) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8054)  all_56_2 = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (126), (136),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (140), (158), (160), (162), (163), (164), (168),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (193), (195), (210), (211), (213), (214),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (219), (220), (221), (226), (228),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (233), (236), (239), (249),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (258), (5642), (5645), (5649), (7278),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (7279), (7280), (7282), (7288), (7525), (7526),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (7530), (7533), (7855), (7856), (7858), (7860),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (7863), (8016), (8019), (8047), (8050), (8051),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (8054), (function-axioms) are inconsistent by
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #631.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8055)  all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8055) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8056)  op(e2, e2) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7860), (8056), (function-axioms) are
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (8057)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8057) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8058)  all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8058) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8059)  all_56_5 = e3
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8060)  all_56_15 = e0 & op(e0, e0) = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7287), (7533), (8059), (8060), (function-axioms)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1029.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8061)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8061) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8062)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8062) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8063)  all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8063) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8064)  all_56_12 = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8043), (8064) imply:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8065)  e3 = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8059), (8065) imply:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8066)  all_56_5 = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7533), (8066), (function-axioms) are inconsistent
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1551.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8067)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8067) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8068)  all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8068) implies:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8069)  all_56_13 = e0
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8070)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (158), (7856), (8043), (8070),
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #630.
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8045) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8071)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (8043), (8069), (8071) are inconsistent
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #629.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8072)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8072) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8073)  all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8073) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8074)  all_56_14 = e2
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8047), (8074) are inconsistent by sub-proof
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1815.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8075)  all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7287), (8075) are inconsistent by sub-proof
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #987.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8076)  all_56_15 = e1 & op(e0, e0) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8076) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8077)  op(e0, e0) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7288), (8077), (function-axioms) are
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8078)  all_56_14 = e0 & op(e0, e1) = e0
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8078) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8079)  op(e0, e1) = e0
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7529), (8079), (function-axioms) are
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8080)  all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7281), (8080), (function-axioms) are
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | |   (8081)  all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8081) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | |   (8082)  op(e1, e2) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7855), (8082), (function-axioms) are
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | |   (8083)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (7533), (8019), (8083),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | |            #1528.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | |   (8084)  all_56_15 = e1 & op(e0, e0) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8084) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | |   (8085)  op(e0, e0) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7288), (8085), (function-axioms) are
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8086)  all_54_8 = e0
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8086) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8087)  all_52_2 = e0
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (7525), (8087) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8088)  $false
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | CLOSE: (8088) is inconsistent.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | |   (8089)  all_20_2 = e3
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | COMBINE_EQS: (325), (8089) imply:
% 188.87/29.16  | | | | | | | | | | | |   (8090)  all_10_2 = e3
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | SIMP: (8090) implies:
% 188.87/29.16  | | | | | | | | | | | |   (8091)  all_10_2 = e3
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | REDUCE: (363), (8091) imply:
% 188.87/29.16  | | | | | | | | | | | |   (8092)   ~ (all_52_8 = e3)
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | REDUCE: (364), (8091) imply:
% 188.87/29.16  | | | | | | | | | | | |   (8093)   ~ (all_52_9 = e3)
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | REDUCE: (45), (8091) imply:
% 188.87/29.16  | | | | | | | | | | | |   (8094)  op(e1, e1) = e3
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | |   (8095)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.87/29.16  | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | BETA: splitting (8095) gives:
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | |   (8096)  all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | ALPHA: (8096) implies:
% 188.87/29.16  | | | | | | | | | | | | | |   (8097)  op(e3, e3) = e3
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (8097), (function-axioms) are
% 188.87/29.16  | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | |   (8098)  all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | ALPHA: (8098) implies:
% 188.87/29.16  | | | | | | | | | | | | | |   (8099)  op(e3, e2) = e3
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | |   (8100)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 188.87/29.16  | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | BETA: splitting (8100) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8101)  all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | ALPHA: (8101) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8102)  all_56_2 = e3
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8103)  op(e2, e3) = e3
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 188.87/29.16  | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (8103) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8104)  all_52_1 = e3
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 188.87/29.16  | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (8099) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8105)  all_52_4 = e3
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | REDUCE: (146), (8104) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8106)   ~ (all_52_9 = e3)
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | REDUCE: (134), (8105) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8107)   ~ (all_52_8 = e3)
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | REDUCE: (133), (8105) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8108)   ~ (all_52_12 = e3)
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | REDUCE: (352), (8105) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8109)   ~ (all_4_2 = e3)
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | BETA: splitting (5637) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | |   (8110)   ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 188.87/29.16  | | | | | | | | | | | | | | | | |           op(e3, e2) = all_12_1 & $i(all_12_0) &
% 188.87/29.16  | | | | | | | | | | | | | | | | |           $i(all_12_1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | ALPHA: (8110) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | |   (8111)  op(e3, e2) = all_12_1
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8112)   ~ (all_46_2 = e2)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (5639), (8112) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8113)  $false
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | CLOSE: (8113) is inconsistent.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8114)  ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0
% 188.87/29.16  | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16  | | | | | | | | | | | | | | | | | |             $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e3, e2)
% 188.87/29.16  | | | | | | | | | | | | | | | | | |             = all_46_1 & $i(all_46_1))
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_12_1,
% 188.87/29.16  | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (8099), (8111) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8115)  all_12_1 = e3
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | BETA: splitting (8114) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8116)   ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |           $i(all_46_1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | ALPHA: (8116) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8117)   ~ (all_46_0 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8118)  op(e3, e2) = all_46_1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8119)  op(all_46_1, e3) = all_46_0
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (67), (110), (118),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (157), (160), (162), (164), (165), (167), (168),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (169), (198), (222), (223), (238), (261), (318),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (354), (358), (373), (5640), (5649), (7280),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (7282), (7288), (8092), (8093), (8094), (8099),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (8102), (8103), (8117), (8118), (8119),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            #624.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8120)   ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |           $i(all_46_1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | ALPHA: (8120) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8121)   ~ (all_46_1 = e0)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8122)  op(e3, e2) = all_46_1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (36), (67), (110), (118),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (157), (160), (162), (164), (165), (167), (168),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (169), (198), (222), (223), (238), (261), (318),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (354), (358), (373), (5640), (5649), (7280),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (7282), (7288), (8092), (8093), (8094), (8099),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (8102), (8103), (8121), (8122), (function-axioms)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #623.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | |   (8123)   ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 188.87/29.16  | | | | | | | | | | | | | | | | |           $i(all_12_1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | ALPHA: (8123) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | |   (8124)   ~ (all_12_1 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | |   (8125)  op(e3, e2) = all_12_1
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8126)   ~ (all_46_2 = e2)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (5639), (8126) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8127)  $false
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | CLOSE: (8127) is inconsistent.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8128)  ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0
% 188.87/29.16  | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16  | | | | | | | | | | | | | | | | | |             $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e3, e2)
% 188.87/29.16  | | | | | | | | | | | | | | | | | |             = all_46_1 & $i(all_46_1))
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_12_1,
% 188.87/29.16  | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (8099), (8125) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8129)  all_12_1 = e3
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | BETA: splitting (8128) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8130)   ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |           $i(all_46_1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | ALPHA: (8130) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8131)   ~ (all_46_0 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8132)  op(e3, e2) = all_46_1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8133)  op(all_46_1, e3) = all_46_0
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (67), (110), (118),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (157), (160), (162), (164), (165), (167), (168),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (169), (198), (222), (223), (238), (261), (318),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (354), (358), (373), (5640), (5649), (7280),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (7282), (7288), (8092), (8093), (8094), (8099),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (8102), (8103), (8131), (8132), (8133),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            #624.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8134)   ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |           $i(all_46_1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | ALPHA: (8134) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8135)   ~ (all_46_1 = e0)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8136)  op(e3, e2) = all_46_1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (36), (67), (110), (118),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (157), (160), (162), (164), (165), (167), (168),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (169), (198), (222), (223), (238), (261), (318),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (354), (358), (373), (5640), (5649), (7280),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (7282), (7288), (8092), (8093), (8094), (8099),
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            (8102), (8103), (8135), (8136), (function-axioms)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #623.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8137)  all_56_3 = e3 & op(e2, e2) = e3
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | ALPHA: (8137) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8138)  op(e2, e2) = e3
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (8138), (function-axioms) are
% 188.87/29.16  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | |   (8139)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 188.87/29.16  | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7281), (8093), (8139),
% 188.87/29.16  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.16  | | | | | | | | | | | | | | |            #1455.
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | |   (8140)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.87/29.16  | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | REF_CLOSE: (168), (169), (7280), (8092), (8140),
% 188.87/29.16  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.16  | | | | | | | | | | | | |            #1296.
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | | 
% 188.87/29.16  | | | | | | | | End of split
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | |   (8141)  all_14_2 = e1
% 188.87/29.16  | | | | | | | |   (8142)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 188.87/29.16  | | | | | | | |             op(e0, e1) = all_14_1 & $i(all_14_0) & $i(all_14_1))
% 188.87/29.16  | | | | | | | |           | ( ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 188.87/29.16  | | | | | | | |             $i(all_14_1))
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | | COMBINE_EQS: (327), (8141) imply:
% 188.87/29.16  | | | | | | | |   (8143)  all_16_2 = e1
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | | REDUCE: (351), (8141) imply:
% 188.87/29.16  | | | | | | | |   (8144)   ~ (all_52_3 = e1)
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | | REDUCE: (362), (8141) imply:
% 188.87/29.16  | | | | | | | |   (8145)   ~ (all_52_7 = e1)
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | | REDUCE: (369), (8141) imply:
% 188.87/29.16  | | | | | | | |   (8146)   ~ (all_52_11 = e1)
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | | REDUCE: (370), (8141) imply:
% 188.87/29.16  | | | | | | | |   (8147)   ~ (all_52_12 = e1)
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | | REDUCE: (371), (8141) imply:
% 188.87/29.16  | | | | | | | |   (8148)   ~ (all_52_13 = e1)
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | | REDUCE: (372), (8141) imply:
% 188.87/29.16  | | | | | | | |   (8149)   ~ (all_52_14 = e1)
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | | REDUCE: (51), (8141) imply:
% 188.87/29.16  | | | | | | | |   (8150)  op(e0, e0) = e1
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | | BETA: splitting (55) gives:
% 188.87/29.16  | | | | | | | | 
% 188.87/29.16  | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | 
% 188.87/29.16  | | | | | | | | |   (8151)   ~ (all_16_2 = e1)
% 188.87/29.16  | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | REDUCE: (8143), (8151) imply:
% 188.87/29.16  | | | | | | | | |   (8152)  $false
% 188.87/29.16  | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | CLOSE: (8152) is inconsistent.
% 188.87/29.16  | | | | | | | | | 
% 188.87/29.16  | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | 
% 188.87/29.16  | | | | | | | | |   (8153)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 188.87/29.16  | | | | | | | | |             op(e0, e1) = all_16_1 & $i(all_16_0) &
% 188.87/29.16  | | | | | | | | |             $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0, e1) =
% 188.87/29.16  | | | | | | | | |             all_16_1 & $i(all_16_1))
% 188.87/29.16  | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | BETA: splitting (61) gives:
% 188.87/29.16  | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | |   (8154)   ~ (all_20_2 = e3)
% 188.87/29.16  | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | REDUCE: (325), (8154) imply:
% 188.87/29.16  | | | | | | | | | |   (8155)   ~ (all_10_2 = e3)
% 188.87/29.16  | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | BETA: splitting (64) gives:
% 188.87/29.16  | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | |   (8156)   ~ (all_22_2 = e0)
% 188.87/29.16  | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | REDUCE: (251), (8156) imply:
% 188.87/29.16  | | | | | | | | | | |   (8157)   ~ (all_10_2 = e0)
% 188.87/29.16  | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | BETA: splitting (194) gives:
% 188.87/29.16  | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | |   (8158)  all_54_10 = e3
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | REF_CLOSE: (336), (8155), (8158) are inconsistent by
% 188.87/29.16  | | | | | | | | | | | |            sub-proof #983.
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | |   (8159)   ~ (all_54_10 = e3)
% 188.87/29.16  | | | | | | | | | | | |   (8160)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | BETA: splitting (8160) gives:
% 188.87/29.16  | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | |   (8161)  all_54_10 = e2
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | REF_CLOSE: (336), (375), (8161) are inconsistent by sub-proof
% 188.87/29.16  | | | | | | | | | | | | |            #982.
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | |   (8162)   ~ (all_54_10 = e2)
% 188.87/29.16  | | | | | | | | | | | | |   (8163)  all_54_10 = e1 | all_54_10 = e0
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | BETA: splitting (8163) gives:
% 188.87/29.16  | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | |   (8164)  all_54_10 = e1
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | COMBINE_EQS: (336), (8164) imply:
% 188.87/29.16  | | | | | | | | | | | | | |   (8165)  all_10_2 = e1
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | SIMP: (8165) implies:
% 188.87/29.16  | | | | | | | | | | | | | |   (8166)  all_10_2 = e1
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | REDUCE: (350), (8166) imply:
% 188.87/29.16  | | | | | | | | | | | | | |   (8167)   ~ (all_52_2 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | REDUCE: (363), (8166) imply:
% 188.87/29.16  | | | | | | | | | | | | | |   (8168)   ~ (all_52_8 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | REDUCE: (8155), (8166) imply:
% 188.87/29.16  | | | | | | | | | | | | | |   (8169)   ~ (e3 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | REDUCE: (375), (8166) imply:
% 188.87/29.16  | | | | | | | | | | | | | |   (8170)   ~ (e2 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | REDUCE: (45), (8166) imply:
% 188.87/29.16  | | | | | | | | | | | | | |   (8171)  op(e1, e1) = e1
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.87/29.16  | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | |   (8172)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.87/29.16  | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | BETA: splitting (8172) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8173)  all_56_0 = e1 & op(e3, e3) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | ALPHA: (8173) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8174)  op(e3, e3) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (8174), (function-axioms) are
% 188.87/29.16  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8175)  all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | ALPHA: (8175) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8176)  all_56_2 = e1
% 188.87/29.16  | | | | | | | | | | | | | | | |   (8177)  op(e2, e3) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | |   (8178)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | BETA: splitting (8178) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8179)  all_56_0 = e1 & op(e3, e3) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | ALPHA: (8179) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8180)  op(e3, e3) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 188.87/29.16  | | | | | | | | | | | | | | | | | |            (8176), (8180), (function-axioms) are inconsistent
% 188.87/29.16  | | | | | | | | | | | | | | | | | |            by sub-proof #1844.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8181)  all_56_1 = e1 & op(e3, e2) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | ALPHA: (8181) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8182)  all_56_1 = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8183)  op(e3, e2) = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 188.87/29.16  | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (8177) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8184)  all_52_1 = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 188.87/29.16  | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (8183) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8185)  all_52_4 = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (149), (8184) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8186)   ~ (all_52_2 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (148), (8184) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8187)   ~ (all_52_3 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (145), (8184) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8188)   ~ (all_52_13 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (136), (8185) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8189)   ~ (all_52_6 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | SIMP: (8189) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8190)   ~ (all_52_6 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (135), (8185) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8191)   ~ (all_52_7 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (134), (8185) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8192)   ~ (all_52_8 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (133), (8185) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8193)   ~ (all_52_12 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (352), (8185) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8194)   ~ (all_4_2 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | SIMP: (8194) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | |   (8195)   ~ (all_4_2 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8196)   ~ (all_46_2 = e2)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | REDUCE: (5639), (8196) imply:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8197)  $false
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | CLOSE: (8197) is inconsistent.
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |   (8198)  ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |             $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e3, e2)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | |             = all_46_1 & $i(all_46_1))
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | BETA: splitting (8198) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | |   (8199)   ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_46_1 & $i(all_46_0) &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | |           $i(all_46_1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | ALPHA: (8199) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | |   (8200)   ~ (all_46_0 = e1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | |   (8201)  op(e3, e2) = all_46_1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | |   (8202)  op(all_46_1, e3) = all_46_0
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5637) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | |   (8203)   ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_12_1 & $i(all_12_0) &
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | |           $i(all_12_1)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8203) implies:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | |   (8204)   ~ (all_12_0 = e0)
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | |   (8205)  op(e3, e2) = all_12_1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | |   (8206)  op(all_12_1, e3) = all_12_0
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (8183), (8201) gives:
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | |   (8207)  all_46_1 = e1
% 188.87/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              all_46_1, e2, e3, simplifying with (8201), (8205)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8208)  all_46_1 = all_12_1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8207), (8208) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8209)  all_12_1 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | SIMP: (8209) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8210)  all_12_1 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (8202), (8207) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8211)  op(e1, e3) = all_46_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (8206), (8210) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8212)  op(e1, e3) = all_12_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              all_12_0, e3, e1, simplifying with (163), (8212)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8213)  all_52_2 = all_12_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              all_46_0, e3, e1, simplifying with (163), (8211)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8214)  all_52_2 = all_46_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8213), (8214) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8215)  all_46_0 = all_12_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | SIMP: (8215) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8216)  all_46_0 = all_12_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8213) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8217)  all_54_8 = all_12_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (8213) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8218)   ~ (all_52_3 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | SIMP: (8218) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8219)   ~ (all_52_3 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8213) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8220)   ~ (all_52_6 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | SIMP: (8220) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8221)   ~ (all_52_6 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8213) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8222)   ~ (all_52_14 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | SIMP: (8222) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8223)   ~ (all_52_14 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (5641), (8213) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8224)   ~ (all_12_0 = e2)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (8200), (8216) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8225)   ~ (all_12_0 = e1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8226)  all_54_8 = e3
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8217), (8226) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8227)  all_12_0 = e3
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | SIMP: (8227) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8228)  all_12_0 = e3
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8219), (8228) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8229)   ~ (all_52_3 = e3)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8221), (8228) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8230)   ~ (all_52_6 = e3)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8223), (8228) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8231)   ~ (all_52_14 = e3)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (113), (118),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (120), (121), (125), (139), (140), (157), (158),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (192), (197), (199), (201),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (211), (212), (213),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (217), (218), (219), (220),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (227), (228), (229), (230),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (231), (233), (238), (249), (260), (268), (270),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (349), (356), (358), (360), (373), (5640), (5642),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (5643), (5645), (5649), (8142), (8144), (8145),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (8146), (8147), (8148), (8149), (8150), (8153),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (8167), (8168), (8171), (8176), (8182), (8183),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (8190), (8195), (8229), (8230), (8231),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            #611.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8232)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8204), (8217), (8224), (8225), (8232) are
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #610.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8233)   ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |           $i(all_12_1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8233) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8234)   ~ (all_12_1 = e1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8235)  op(e3, e2) = all_12_1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8183), (8201), (8234), (8235), (function-axioms)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #609.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | |   (8236)   ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | |           $i(all_46_1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | ALPHA: (8236) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | |   (8237)   ~ (all_46_1 = e0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | |   (8238)  op(e3, e2) = all_46_1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5637) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8239)   ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_12_1 & $i(all_12_0) &
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |           $i(all_12_1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8239) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8240)   ~ (all_12_0 = e0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8241)  op(e3, e2) = all_12_1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8242)  op(all_12_1, e3) = all_12_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (8183), (8238) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8243)  all_46_1 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              all_46_1, e2, e3, simplifying with (8238), (8241)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8244)  all_46_1 = all_12_1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8243), (8244) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8245)  all_12_1 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | SIMP: (8245) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8246)  all_12_1 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (8242), (8246) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8247)  op(e1, e3) = all_12_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              all_12_0, e3, e1, simplifying with (163), (8247)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |              gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8248)  all_52_2 = all_12_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8248) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8249)  all_54_8 = all_12_0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (8248) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8250)   ~ (all_52_3 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | SIMP: (8250) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8251)   ~ (all_52_3 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8248) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8252)   ~ (all_52_6 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | SIMP: (8252) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8253)   ~ (all_52_6 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8248) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8254)   ~ (all_52_14 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | SIMP: (8254) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8255)   ~ (all_52_14 = all_12_0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (5641), (8248) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8256)   ~ (all_12_0 = e2)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (8167), (8248) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8257)   ~ (all_12_0 = e1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8258)  all_54_8 = e3
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8249), (8258) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8259)  all_12_0 = e3
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | SIMP: (8259) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8260)  all_12_0 = e3
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8251), (8260) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8261)   ~ (all_52_3 = e3)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8253), (8260) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8262)   ~ (all_52_6 = e3)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8255), (8260) imply:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8263)   ~ (all_52_14 = e3)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (113), (118),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (120), (121), (125), (139), (140), (157), (158),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (192), (197), (199), (201),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (211), (212), (213),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (217), (218), (219), (220),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (227), (228), (229), (230),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (231), (233), (238), (249), (260), (268), (270),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (349), (356), (358), (360), (373), (5640), (5642),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (5643), (5645), (5649), (8142), (8144), (8145),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (8146), (8147), (8148), (8149), (8150), (8153),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (8167), (8168), (8171), (8176), (8182), (8183),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (8190), (8195), (8261), (8262), (8263),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            #611.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8264)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8240), (8249), (8256), (8257), (8264) are
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #610.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8265)   ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |           $i(all_12_1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8265) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8266)   ~ (all_12_1 = e1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8267)  op(e3, e2) = all_12_1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8183), (8238), (8266), (8267), (function-axioms)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #609.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | |   (8268)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (8147), (8168), (8268),
% 188.87/29.17  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.17  | | | | | | | | | | | | | | | | |            #608.
% 188.87/29.17  | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | |   (8269)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.87/29.17  | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (8144), (8167), (8269),
% 188.87/29.17  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.17  | | | | | | | | | | | | | | |            #607.
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | |   (8270)  all_54_10 = e0
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | REF_CLOSE: (336), (8157), (8270) are inconsistent by
% 188.87/29.17  | | | | | | | | | | | | | |            sub-proof #932.
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | |   (8271)  all_22_2 = e0
% 188.87/29.17  | | | | | | | | | | |   (8272)  ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 188.87/29.17  | | | | | | | | | | |             & op(e1, e0) = all_22_1 & $i(all_22_0) &
% 188.87/29.17  | | | | | | | | | | |             $i(all_22_1)) | ( ~ (all_22_1 = e3) & op(e1, e0)
% 188.87/29.17  | | | | | | | | | | |             = all_22_1 & $i(all_22_1))
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | COMBINE_EQS: (251), (8271) imply:
% 188.87/29.17  | | | | | | | | | | |   (8273)  all_10_2 = e0
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | REDUCE: (350), (8273) imply:
% 188.87/29.17  | | | | | | | | | | |   (8274)   ~ (all_52_2 = e0)
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | REDUCE: (361), (8273) imply:
% 188.87/29.17  | | | | | | | | | | |   (8275)   ~ (all_52_6 = e0)
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | REDUCE: (363), (8273) imply:
% 188.87/29.17  | | | | | | | | | | |   (8276)   ~ (all_52_8 = e0)
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | REDUCE: (364), (8273) imply:
% 188.87/29.17  | | | | | | | | | | |   (8277)   ~ (all_52_9 = e0)
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | REDUCE: (366), (8273) imply:
% 188.87/29.17  | | | | | | | | | | |   (8278)   ~ (all_52_11 = e0)
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | REDUCE: (368), (8273) imply:
% 188.87/29.17  | | | | | | | | | | |   (8279)   ~ (all_52_14 = e0)
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | REDUCE: (8155), (8273) imply:
% 188.87/29.17  | | | | | | | | | | |   (8280)   ~ (e3 = e0)
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | REDUCE: (375), (8273) imply:
% 188.87/29.17  | | | | | | | | | | |   (8281)   ~ (e2 = e0)
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | REDUCE: (45), (8273) imply:
% 188.87/29.17  | | | | | | | | | | |   (8282)  op(e1, e1) = e0
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | BETA: splitting (67) gives:
% 188.87/29.17  | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | |   (8283)   ~ (all_24_2 = e1)
% 188.87/29.17  | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | REDUCE: (318), (8283) imply:
% 188.87/29.17  | | | | | | | | | | | |   (8284)   ~ (all_4_2 = e1)
% 188.87/29.17  | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | BETA: splitting (79) gives:
% 188.87/29.17  | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | |   (8285)   ~ (all_32_2 = e0)
% 188.87/29.17  | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | REDUCE: (314), (8285) imply:
% 188.87/29.17  | | | | | | | | | | | | |   (8286)   ~ (all_4_2 = e0)
% 188.87/29.17  | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | BETA: splitting (199) gives:
% 188.87/29.17  | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | |   (8287)  all_54_5 = e3
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | COMBINE_EQS: (268), (8287) imply:
% 188.87/29.17  | | | | | | | | | | | | | |   (8288)  all_4_2 = e3
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | REDUCE: (373), (8288) imply:
% 188.87/29.17  | | | | | | | | | | | | | |   (8289)  $false
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | CLOSE: (8289) is inconsistent.
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | |   (8290)   ~ (all_54_5 = e3)
% 188.87/29.17  | | | | | | | | | | | | | |   (8291)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | BETA: splitting (8291) gives:
% 188.87/29.17  | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | |   (8292)  all_54_5 = e2
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8292) imply:
% 188.87/29.17  | | | | | | | | | | | | | | |   (8293)  all_4_2 = e2
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | REDUCE: (354), (8293) imply:
% 188.87/29.17  | | | | | | | | | | | | | | |   (8294)   ~ (all_52_6 = e2)
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | REDUCE: (358), (8293) imply:
% 188.87/29.17  | | | | | | | | | | | | | | |   (8295)   ~ (all_52_9 = e2)
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | REDUCE: (360), (8293) imply:
% 188.87/29.17  | | | | | | | | | | | | | | |   (8296)   ~ (all_52_13 = e2)
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | REDUCE: (373), (8293) imply:
% 188.87/29.17  | | | | | | | | | | | | | | |   (8297)   ~ (e3 = e2)
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | REDUCE: (36), (8293) imply:
% 188.87/29.17  | | | | | | | | | | | | | | |   (8298)  op(e2, e2) = e2
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | |   (8299)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.87/29.17  | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.87/29.17  | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | BETA: splitting (8299) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | |   (8300)  all_56_4 = e2 & op(e3, e1) = e2
% 188.87/29.17  | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | ALPHA: (8300) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | |   (8301)  all_56_4 = e2
% 188.87/29.17  | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | |   (8302)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 188.87/29.17  | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5645), (8296), (8302),
% 188.87/29.17  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.17  | | | | | | | | | | | | | | | | | |            #736.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | |   (8303)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 188.87/29.17  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | BETA: splitting (8303) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | |   (8304)  all_56_11 = e2 & op(e1, e0) = e2
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | ALPHA: (8304) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | |   (8305)  all_56_11 = e2
% 188.87/29.17  | | | | | | | | | | | | | | | | | | |   (8306)  op(e1, e0) = e2
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | |   (8307)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8307) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8308)  all_56_12 = e2 & op(e0, e3) = e2
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8308) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8309)  all_56_12 = e2
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8310)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8310) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (8311)  all_56_0 = e0 & op(e3, e3) = e0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8311) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (8312)  op(e3, e3) = e0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8312), (function-axioms) are
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (8313)  all_56_2 = e0 & op(e2, e3) = e0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8313) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (8314)  all_56_2 = e0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | |   (8315)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8315) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8316)  all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8316) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8317)  all_56_2 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8314), (8317) are inconsistent by sub-proof
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |            #1713.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8318)  all_56_3 = e1 & op(e2, e2) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8318) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8319)  op(e2, e2) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8298), (8319), (function-axioms) are
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | |   (8320)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8320) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8321)  all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8321) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8322)  all_56_5 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8323)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8323) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8324)  all_56_0 = e1 & op(e3, e3) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8324) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8325)  op(e3, e3) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (8325), (function-axioms) are
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8326)  all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8326) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8327)  all_56_2 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (223), (224), (373), (8282), (8322),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8327), (function-axioms) are inconsistent by
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1547.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8328)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8328) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8329)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8329) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8330)  all_56_6 = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5649), (8309), (8314),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8330), (function-axioms) are inconsistent by
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #741.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8331)  all_56_12 = e1 & op(e0, e3) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8331) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8332)  op(e0, e3) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (8332), (function-axioms) are
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8333)  all_56_10 = e1 & op(e2, e0) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8333) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8334)  op(e2, e0) = e1
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (8334), (function-axioms) are
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |   (8335)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8335) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (8336)  all_56_6 = e0 & op(e1, e3) = e0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8336) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (8337)  all_56_6 = e0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |            (216), (8149), (8282), (8337), (function-axioms)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1527.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (8338)  all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |            (8282), (8301), (8309), (8338), (function-axioms)
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #665.
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8339)  all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8339) implies:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | |   (8340)  all_56_13 = e2
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |   (8341)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8341) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |   (8342)  all_56_1 = e0 & op(e3, e2) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8342) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |   (8343)  all_56_1 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |   (8344)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5649), (8343), (8344),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |            #606.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |   (8345)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (8147), (8301), (8345),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |            #920.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |   (8346)  all_56_3 = e0 & op(e2, e2) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8346) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |   (8347)  op(e2, e2) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8298), (8347), (function-axioms) are
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |   (8348)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8348) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |   (8349)  all_56_7 = e0 & op(e1, e2) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8349) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |   (8350)  all_56_7 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |            (216), (8149), (8282), (8350), (function-axioms)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1521.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |   (8351)  all_56_13 = e0 & op(e0, e2) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |            (8282), (8301), (8340), (8351), (function-axioms)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #664.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8352)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8352) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |   (8353)  all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8353) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |   (8354)  all_56_14 = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |   (8355)  op(e0, e1) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (113), (117),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (120), (123), (133), (134), (143), (145), (146),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (149), (157), (160), (162), (164), (165), (168),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (169), (170), (195), (196), (197), (198), (200),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (201), (202), (206), (212), (214), (216), (217),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (222), (229), (232), (233),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (235), (239), (258), (259), (260), (261), (269),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (270), (271), (373), (5640), (5641), (5644),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (5645), (5649), (8142), (8146), (8147), (8148),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (8150), (8153), (8272), (8274), (8275), (8276),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (8277), (8279), (8282), (8294), (8295), (8296),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (8298), (8305), (8306), (8354), (8355),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            #595.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |   (8356)  all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8356) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |   (8357)  op(e0, e0) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (8357), (function-axioms) are
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8358)  all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | ALPHA: (8358) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8359)  op(e0, e0) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (8359), (function-axioms) are
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | |   (8360)  all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | ALPHA: (8360) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | |   (8361)  op(e2, e1) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (8284), (8286), (8291),
% 188.87/29.18  | | | | | | | | | | | | | | | | |            (8361), (function-axioms) are inconsistent by
% 188.87/29.18  | | | | | | | | | | | | | | | | |            sub-proof #1940.
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | |   (8362)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.87/29.18  | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.87/29.18  | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | BETA: splitting (8362) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | |   (8363)  all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | ALPHA: (8363) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | |   (8364)  op(e1, e1) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8282), (8364), (function-axioms) are
% 188.87/29.18  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | |   (8365)  all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | ALPHA: (8365) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | |   (8366)  all_56_14 = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | |   (8367)  op(e0, e1) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | |   (8368)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 188.87/29.18  | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5645), (8296), (8368),
% 188.87/29.18  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | | | | |            #736.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | |   (8369)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 188.87/29.18  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | BETA: splitting (8369) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8370)  all_56_11 = e2 & op(e1, e0) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | ALPHA: (8370) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8371)  all_56_11 = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8372)  op(e1, e0) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (113), (117),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (120), (123), (133), (134), (143), (145), (146),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (149), (157), (160), (162), (164), (165), (168),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (169), (170), (195), (196), (197), (198), (200),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (201), (202), (206), (212), (214), (216), (217),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (222), (229), (232), (233),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (235), (239), (258), (259), (260), (261), (269),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (270), (271), (373), (5640), (5641), (5644),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (5645), (5649), (8142), (8146), (8147), (8148),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (8150), (8153), (8272), (8274), (8275), (8276),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (8277), (8279), (8282), (8294), (8295), (8296),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (8298), (8366), (8367), (8371), (8372),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            #595.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8373)  all_56_15 = e2 & op(e0, e0) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | ALPHA: (8373) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8374)  op(e0, e0) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (8144), (8366), (8374),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            #1228.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | |   (8375)  all_54_5 = e1 | all_54_5 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | REF_CLOSE: (268), (8284), (8286), (8375) are inconsistent by
% 188.87/29.18  | | | | | | | | | | | | | | |            sub-proof #1941.
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | |   (8376)  all_32_2 = e0
% 188.87/29.18  | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | COMBINE_EQS: (314), (8376) imply:
% 188.87/29.18  | | | | | | | | | | | | |   (8377)  all_4_2 = e0
% 188.87/29.18  | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | SIMP: (8377) implies:
% 188.87/29.18  | | | | | | | | | | | | |   (8378)  all_4_2 = e0
% 188.87/29.18  | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | COMBINE_EQS: (309), (8378) imply:
% 188.87/29.18  | | | | | | | | | | | | |   (8379)  all_36_2 = e0
% 188.87/29.18  | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | REDUCE: (360), (8378) imply:
% 188.87/29.18  | | | | | | | | | | | | |   (8380)   ~ (all_52_13 = e0)
% 188.87/29.18  | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | REDUCE: (8284), (8378) imply:
% 188.87/29.18  | | | | | | | | | | | | |   (8381)   ~ (e1 = e0)
% 188.87/29.18  | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | REDUCE: (36), (8378) imply:
% 188.87/29.18  | | | | | | | | | | | | |   (8382)  op(e2, e2) = e0
% 188.87/29.18  | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | BETA: splitting (230) gives:
% 188.87/29.18  | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | |   (8383)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 188.87/29.18  | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 188.87/29.18  | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | BETA: splitting (8383) gives:
% 188.87/29.18  | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | |   (8384)  all_56_0 = e0 & op(e3, e3) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | ALPHA: (8384) implies:
% 188.87/29.18  | | | | | | | | | | | | | | |   (8385)  op(e3, e3) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8385), (function-axioms) are
% 188.87/29.18  | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | |   (8386)  all_56_1 = e0 & op(e3, e2) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | ALPHA: (8386) implies:
% 188.87/29.18  | | | | | | | | | | | | | | |   (8387)  all_56_1 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (226),
% 188.87/29.18  | | | | | | | | | | | | | | |            (227), (228), (373), (8145), (8382), (8387),
% 188.87/29.18  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | |            #874.
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | |   (8388)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 188.87/29.18  | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 188.87/29.18  | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | BETA: splitting (8388) gives:
% 188.87/29.18  | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | |   (8389)  all_56_4 = e0 & op(e3, e1) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | ALPHA: (8389) implies:
% 188.87/29.18  | | | | | | | | | | | | | | |   (8390)  all_56_4 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 188.87/29.18  | | | | | | | | | | | | | | |            (8282), (8390), (function-axioms) are inconsistent
% 188.87/29.18  | | | | | | | | | | | | | | |            by sub-proof #1809.
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | |   (8391)  all_56_9 = e0 & op(e3, e0) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | ALPHA: (8391) implies:
% 188.87/29.18  | | | | | | | | | | | | | | |   (8392)  all_56_9 = e0
% 188.87/29.18  | | | | | | | | | | | | | | |   (8393)  op(e3, e0) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | |   (8394)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | BETA: splitting (8394) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | |   (8395)  all_56_2 = e0 & op(e2, e3) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (159),
% 188.87/29.18  | | | | | | | | | | | | | | | | |            (160), (164), (214), (215), (216), (222), (223),
% 188.87/29.18  | | | | | | | | | | | | | | | | |            (224), (231), (373), (5649), (8144), (8148),
% 188.87/29.18  | | | | | | | | | | | | | | | | |            (8149), (8282), (8379), (8382), (8395),
% 188.87/29.18  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | | | |            #593.
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | |   (8396)  all_56_3 = e0 & op(e2, e2) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | ALPHA: (8396) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | |   (8397)  all_56_3 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | |   (8398)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | BETA: splitting (8398) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8399)  all_56_0 = e0 & op(e3, e3) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | ALPHA: (8399) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8400)  op(e3, e3) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8400), (function-axioms) are
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8401)  all_56_2 = e0 & op(e2, e3) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (159),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (160), (164), (214), (215), (216), (222), (223),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (224), (231), (373), (5649), (8144), (8148),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (8149), (8282), (8379), (8382), (8401),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            #593.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | |   (8402)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 188.87/29.18  | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | BETA: splitting (8402) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8403)  all_56_6 = e0 & op(e1, e3) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | ALPHA: (8403) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8404)  all_56_6 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            (216), (8149), (8282), (8404), (function-axioms)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1527.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8405)  all_56_12 = e0 & op(e0, e3) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | ALPHA: (8405) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8406)  all_56_12 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | |   (8407)  op(e0, e3) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8408)  all_56_15 = e0 & op(e0, e0) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | ALPHA: (8408) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8409)  op(e0, e0) = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (8409), (function-axioms) are
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8410)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | ALPHA: (8410) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8411)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (8407) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8412)  all_52_3 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |              e0, e0, e3, simplifying with (168), (8393) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8413)  all_52_12 = e0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (8412) imply:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8414)   ~ (all_52_1 = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8412) imply:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8415)   ~ (all_52_7 = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | SIMP: (8415) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8416)   ~ (all_52_7 = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8412) imply:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8417)   ~ (all_52_11 = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8413) imply:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8418)   ~ (all_52_13 = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (8413) imply:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | |   (8419)   ~ (all_52_14 = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |   (8420)   ~ (all_36_2 = e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | REDUCE: (8379), (8420) imply:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |   (8421)  $false
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | CLOSE: (8421) is inconsistent.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |   (8422)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |             $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | |             = all_36_1 & $i(all_36_1))
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |   (8423)  all_54_8 = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8423) imply:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |   (8424)  all_52_2 = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | SIMP: (8424) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |   (8425)  all_52_2 = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8425) imply:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |   (8426)   ~ (all_52_6 = e3)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | SIMP: (8426) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |   (8427)   ~ (all_52_6 = e3)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8425) imply:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |   (8428)   ~ (all_52_14 = e3)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | SIMP: (8428) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | |   (8429)   ~ (all_52_14 = e3)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |   (8430)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8430) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |   (8431)  all_56_9 = e3 & op(e3, e0) = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8431) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |   (8432)  op(e3, e0) = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8393), (8432), (function-axioms) are
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |   (8433)  all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8433) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |   (8434)  all_56_10 = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | |   (8435)  op(e2, e0) = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (8436)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8436) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8437)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8437) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8438)  all_56_6 = e1
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8439)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8439) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8440)  all_56_6 = e3 & op(e1, e3) = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8440) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8441)  all_56_6 = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8438), (8441) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1620.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8442)  all_56_7 = e3 & op(e1, e2) = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8442) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8443)  op(e1, e2) = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8427), (8443), (function-axioms) are
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8444)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8444) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8445)  all_56_8 = e3 & op(e1, e1) = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8445) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8446)  op(e1, e1) = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8282), (8446), (function-axioms) are
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8447)  all_56_11 = e3 & op(e1, e0) = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8447) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8448)  all_56_11 = e3
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (211), (8150), (8392), (8434),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8448), (function-axioms) are inconsistent by
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #591.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8449)  all_56_7 = e1 & op(e1, e2) = e1
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8449) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8450)  all_56_7 = e1
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8451)  op(e1, e2) = e1
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8452)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (5640), (8382), (8452),
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #590.
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8453)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8453) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8454)  all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8454) implies:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8455)  all_56_5 = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8456)  op(e2, e1) = e2
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8457)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8457) gives:
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8458)  all_56_2 = e1 & op(e2, e3) = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8458) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8459)  all_56_2 = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8460)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (5643), (8382), (8460),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #824.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8461)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8462)  all_56_7 = e2 & op(e1, e2) = e2
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8462) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8463)  all_56_7 = e2
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8450), (8463) imply:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8464)  e2 = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8464) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8465)  e2 = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8455), (8465) imply:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8466)  all_56_5 = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (223), (224), (373), (8282), (8459),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8466), (function-axioms) are inconsistent by
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1547.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8467)  all_56_13 = e2 & op(e0, e2) = e2
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8467) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8468)  all_56_13 = e2
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8469)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8469) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8470)  all_56_4 = e1 & op(e3, e1) = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8470) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8471)  all_56_4 = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8472)  op(e3, e1) = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8473)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_36_1 & $i(all_36_0) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_36_1)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8473) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8474)  op(e2, e0) = all_36_1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8475)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (5649), (8148),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8284), (8434), (8475), (function-axioms) are
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #589.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8476)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8476) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8477)  all_56_6 = e3 & op(e1, e3) = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8477) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8478)  all_56_6 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8479)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8479) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8480)  all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8480) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8481)  op(e3, e1) = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8472), (8481), (function-axioms) are
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8482)  all_56_5 = e3 & op(e2, e1) = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8482) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8483)  all_56_5 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (223), (8397), (8434), (8459),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8483) are inconsistent by sub-proof #1087.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8484)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8484) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8485)  all_56_8 = e3 & op(e1, e1) = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8485) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8486)  op(e1, e1) = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8282), (8486), (function-axioms) are
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8487)  all_56_14 = e3 & op(e0, e1) = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8487) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8488)  all_56_14 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8489)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8489) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8490)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8490) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8491)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8491) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8492)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8492) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8493)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8282), (8451), (8493), (function-axioms) are
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1513.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8494)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8494) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8495)  op(e2, e2) = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (8495), (function-axioms) are
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8496)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8150), (8407), (8459), (8478), (8496),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #604.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8497)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8497) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8498)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8498) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8499)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8499) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8500)  op(e3, e3) = e0
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8500), (function-axioms) are
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8501)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_1 & $i(all_57_1)))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8501) implies:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8502)  op(e0, e0) = e3
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (207), (218),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (8145), (8282), (8406), (8471),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8488), (8502), (function-axioms) are inconsistent
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1006.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8503)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8382), (8456), (8503),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #588.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8504)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8504) gives:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8505)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (160), (164), (8146), (8279), (8380),
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8435), (8474), (8505), (function-axioms) are
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #587.
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8506)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (8150), (8282), (8407), (8451),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8506), (function-axioms) are inconsistent by
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #603.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8507)  all_56_12 = e3 & op(e0, e3) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8507) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8508)  all_56_12 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8411) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8406), (8508) are inconsistent by sub-proof
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1700.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8509)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (218), (219),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (8278), (8282), (8455), (8468), (8509),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1005.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8510)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_36_1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8435), (8510), (function-axioms) are inconsistent
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1708.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8511)  all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8511) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8512)  all_56_5 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (223), (224), (373), (8282), (8459),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8512), (function-axioms) are inconsistent by
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1547.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8513)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (8146), (8282), (8513),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #914.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8514)  all_56_3 = e1 & op(e2, e2) = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8514) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8515)  op(e2, e2) = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8382), (8515), (function-axioms) are
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8516)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (8148), (8456), (8516),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #586.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8517)  all_56_10 = e2 & op(e2, e0) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8517) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8518)  op(e2, e0) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8422), (8435), (8518), (function-axioms) are
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1707.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (8519)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8149), (8282), (8519),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | |            #1528.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | |   (8520)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8150), (8429), (8520),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | |            #585.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | |   (8521)   ~ (all_54_8 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | |   (8522)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (8521) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | |   (8523)   ~ (all_52_2 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8522) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | |   (8524)  all_54_8 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5641), (8524) are inconsistent by
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | |   (8525)   ~ (all_54_8 = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | |   (8526)  all_54_8 = e1 | all_54_8 = e0
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | |   (8527)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8527) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (8528)  all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8528) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (8529)  op(e3, e3) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (8529), (function-axioms) are
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (8530)  all_56_2 = e3 & op(e2, e3) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8530) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (8531)  all_56_2 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8526) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8532)  all_54_8 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8532) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8533)  all_52_2 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8533) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8534)  all_52_2 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8534) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8535)   ~ (all_52_1 = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8534) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8536)   ~ (all_52_6 = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8536) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8537)   ~ (all_52_6 = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8534) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8538)   ~ (all_52_14 = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5641), (8534) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8539)   ~ (e2 = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8540)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8540) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8541)  all_56_6 = e1 & op(e1, e3) = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8541) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8542)  all_56_6 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8543)  op(e1, e3) = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8544)  all_54_4 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8544) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8545)  all_52_1 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8545) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8546)  all_52_1 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8546) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8547)   ~ (all_52_9 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8547) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8548)   ~ (all_52_9 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8546) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8549)   ~ (all_52_13 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8549) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8550)   ~ (all_52_13 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8551)  all_54_7 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8550), (8551) are inconsistent by
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8552)   ~ (all_54_7 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8553)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8554)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8554) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8555)  all_56_9 = e3 & op(e3, e0) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8555) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8556)  op(e3, e0) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8393), (8556), (function-axioms) are
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8557)  all_56_10 = e3 & op(e2, e0) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8557) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8558)  all_56_10 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (8148), (8284),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8531), (8558), (function-axioms) are inconsistent
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #886.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8559)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8559) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8560)  all_56_11 = e3 & op(e1, e0) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8560) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8561)  all_56_11 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8562)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8562) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8563)  all_56_9 = e2 & op(e3, e0) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5645), (8563), (function-axioms) are
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8564)  all_56_10 = e2 & op(e2, e0) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8564) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8565)  all_56_10 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8566)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (8382), (8531), (8566),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #691.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8567)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8567) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8568)  all_56_5 = e1 & op(e2, e1) = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8568) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8569)  all_56_5 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8570)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8570) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8571)  all_56_1 = e1 & op(e3, e2) = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8571) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8572)  all_56_1 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8553) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8573)  all_54_7 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (8573) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8574)  all_52_13 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8574) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8575)  all_52_13 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8575) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8576)   ~ (all_52_9 = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8575) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8577)   ~ (all_52_14 = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8577) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8578)   ~ (all_52_14 = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8550), (8575) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8579)   ~ (e3 = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8580)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8580) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8581)  all_56_4 = e2 & op(e3, e1) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8581) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8582)  all_56_4 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8583)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8583) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8584)  all_56_0 = e3 & op(e3, e3) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8584) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8585)  op(e3, e3) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (8406),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8531), (8585), (function-axioms) are inconsistent
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1721.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8586)  all_56_1 = e3 & op(e3, e2) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8586) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8587)  all_56_1 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8572), (8587) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8588)  e3 = e1
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (219),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (223), (224), (373), (8282), (8531),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8569), (8588), (function-axioms) are inconsistent
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1430.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8589)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8589) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8590)  all_56_4 = e3 & op(e3, e1) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8590) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8591)  all_56_4 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8582), (8591) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8592)  e3 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8592) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8593)  e3 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8531), (8593) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8594)  all_56_2 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (8565), (8569),
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8594), (function-axioms) are inconsistent by
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1398.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8595)  all_56_9 = e3 & op(e3, e0) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8595) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8596)  op(e3, e0) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8393), (8596), (function-axioms) are
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8597)  all_56_5 = e2 & op(e2, e1) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8597) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8598)  op(e2, e1) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8576), (8598), (function-axioms) are
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8599)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8599) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8600)  all_56_8 = e2 & op(e1, e1) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8600) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8601)  op(e1, e1) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8282), (8601), (function-axioms) are
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8602)  all_56_14 = e2 & op(e0, e1) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8602) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8603)  op(e0, e1) = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8604)  all_54_11 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (8604) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8605)  all_52_14 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8605) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8606)   ~ (all_52_6 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8607)  all_54_9 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8606), (8607) are inconsistent by
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8608)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8609)  all_54_6 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8548), (8609) are inconsistent by
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8610)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8608) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8611)  all_54_9 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8611) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8612)  all_52_6 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8612) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8613)  all_52_6 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8613) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8614)   ~ (all_52_7 = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8614) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8615)   ~ (all_52_7 = e2)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8616)  all_54_13 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (8616) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8617)  all_52_7 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8617) implies:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8618)  all_52_7 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8618) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8619)   ~ (all_52_4 = e3)
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (8618) imply:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8620)  op(e0, e2) = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8621)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8621) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8622)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8622) gives:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8623)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 188.87/29.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (8619), (8623),
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1530.
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8624)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8624) gives:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8625)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8625) implies:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8626)  op(e3, e3) = e1
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (36), (112), (117), (139),
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (159), (160), (164), (165), (168), (238),
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (373), (8146), (8147), (8149), (8150),
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8282), (8382), (8393), (8407), (8626),
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #896.
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8627)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8627) implies:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8628)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8150), (8407), (8628), (function-axioms) are
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #911.
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8629)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8629) gives:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8630)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5649), (8282), (8543), (8630),
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #636.
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8631)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (8382), (8537), (8631),
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1731.
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8632)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8632) gives:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8633)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8633) gives:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8634)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8634) gives:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8635)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 188.87/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8635) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8636)  op(e0, e2) = e2
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8142) gives:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8637)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e0, e1) = all_14_1 & $i(all_14_0) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_14_1)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8637) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8638)  op(e0, e1) = all_14_1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (8153), (8531),
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8565), (8569), (8603), (8620), (8636), (8638),
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #584.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8639)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_14_1)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8639) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8640)  op(e0, e1) = all_14_1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (8153), (8531),
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8565), (8569), (8603), (8620), (8636), (8640),
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #584.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8641)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8641) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8642)  op(e2, e0) = e0
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8380), (8642), (function-axioms) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8643)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (160), (261), (8277), (8279),
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8576), (8610), (8643), (function-axioms) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #583.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8644)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8644) gives:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8645)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (8150), (8382), (8407), (8645),
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #898.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8646)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (8282), (8646), (function-axioms) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #915.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8647)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8145), (8416), (8615), (8647) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1651.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8648)  all_54_9 = e1 | all_54_9 = e0
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8275), (8537), (8648) are inconsistent by
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1802.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8649)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8149), (8279), (8578), (8649) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1335.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8650)  all_54_7 = e1 | all_54_7 = e0
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8148), (8380), (8650) are inconsistent by
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1376.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8651)  all_56_3 = e1 & op(e2, e2) = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8651) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8652)  op(e2, e2) = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8382), (8652), (function-axioms) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8653)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8653) gives:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8654)  all_56_7 = e1 & op(e1, e2) = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8654) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8655)  all_56_7 = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (8282),
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8542), (8655), (function-axioms) are inconsistent
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1616.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8656)  all_56_13 = e1 & op(e0, e2) = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8656) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8657)  op(e0, e2) = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8145), (8657), (function-axioms) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8658)  all_56_10 = e1 & op(e2, e0) = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8658) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8659)  op(e2, e0) = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (8659), (function-axioms) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8660)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8660) gives:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8661)  all_56_11 = e2 & op(e1, e0) = e2
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8661) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8662)  all_56_11 = e2
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8561), (8662) are inconsistent by sub-proof
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1619.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8663)  all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8663) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8664)  op(e0, e0) = e2
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (8664), (function-axioms) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8665)  all_56_15 = e3 & op(e0, e0) = e3
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8665) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8666)  op(e0, e0) = e3
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8150), (8666), (function-axioms) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8667)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (8414), (8535), (8667) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8668)  all_56_7 = e1 & op(e1, e2) = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8668) implies:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8669)  op(e1, e2) = e1
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8537), (8669), (function-axioms) are
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8670)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8149), (8282), (8670),
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1528.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8671)  all_54_8 = e0
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (8274), (8671) are inconsistent by
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1366.
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | |   (8672)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8672) gives:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (8673)  all_56_6 = e3 & op(e1, e3) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8673) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (8674)  op(e1, e3) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8523), (8674), (function-axioms) are
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (8675)  all_56_12 = e3 & op(e0, e3) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8675) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (8676)  all_56_12 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8406), (8676) imply:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (8677)  e3 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (8677) imply:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (8678)  $false
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8678) is inconsistent.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | |   (8679)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 189.16/29.22  | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (218), (219),
% 189.16/29.22  | | | | | | | | | | | | | | | |            (220), (8282), (8380), (8679), (function-axioms)
% 189.16/29.22  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #751.
% 189.16/29.22  | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | |   (8680)  all_24_2 = e1
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | COMBINE_EQS: (318), (8680) imply:
% 189.16/29.22  | | | | | | | | | | | |   (8681)  all_4_2 = e1
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | SIMP: (8681) implies:
% 189.16/29.22  | | | | | | | | | | | |   (8682)  all_4_2 = e1
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | REDUCE: (349), (8682) imply:
% 189.16/29.22  | | | | | | | | | | | |   (8683)   ~ (all_52_1 = e1)
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | REDUCE: (354), (8682) imply:
% 189.16/29.22  | | | | | | | | | | | |   (8684)   ~ (all_52_6 = e1)
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | REDUCE: (358), (8682) imply:
% 189.16/29.22  | | | | | | | | | | | |   (8685)   ~ (all_52_9 = e1)
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | REDUCE: (373), (8682) imply:
% 189.16/29.22  | | | | | | | | | | | |   (8686)   ~ (e3 = e1)
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | REDUCE: (36), (8682) imply:
% 189.16/29.22  | | | | | | | | | | | |   (8687)  op(e2, e2) = e1
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | BETA: splitting (218) gives:
% 189.16/29.22  | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | |   (8688)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 189.16/29.22  | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 189.16/29.22  | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | BETA: splitting (8688) gives:
% 189.16/29.22  | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | |   (8689)  all_56_4 = e1 & op(e3, e1) = e1
% 189.16/29.22  | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | ALPHA: (8689) implies:
% 189.16/29.22  | | | | | | | | | | | | | |   (8690)  all_56_4 = e1
% 189.16/29.22  | | | | | | | | | | | | | |   (8691)  op(e3, e1) = e1
% 189.16/29.22  | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.16/29.22  | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | |   (8692)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.16/29.22  | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 189.16/29.22  | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | BETA: splitting (8692) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | |   (8693)  all_56_6 = e1 & op(e1, e3) = e1
% 189.16/29.22  | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | ALPHA: (8693) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | |   (8694)  all_56_6 = e1
% 189.16/29.22  | | | | | | | | | | | | | | | |   (8695)  op(e1, e3) = e1
% 189.16/29.22  | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | |   (8696)  all_54_12 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (8696) imply:
% 189.16/29.22  | | | | | | | | | | | | | | | | |   (8697)  all_52_3 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | SIMP: (8697) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | |   (8698)  all_52_3 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | REDUCE: (148), (8698) imply:
% 189.16/29.22  | | | | | | | | | | | | | | | | |   (8699)   ~ (all_52_1 = e3)
% 189.16/29.22  | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | |   (8700)  all_54_4 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8699), (8700) are inconsistent by
% 189.16/29.22  | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | |   (8701)   ~ (all_54_4 = e3)
% 189.16/29.22  | | | | | | | | | | | | | | | | | |   (8702)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | BETA: splitting (8702) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | |   (8703)  all_54_4 = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (8703) are inconsistent by
% 189.16/29.22  | | | | | | | | | | | | | | | | | | |            sub-proof #1833.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | |   (8704)   ~ (all_54_4 = e2)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | |   (8705)  all_54_4 = e1 | all_54_4 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | |   (8706)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8706) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | |   (8707)  all_56_0 = e3 & op(e3, e3) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8707) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | |   (8708)  op(e3, e3) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (8708), (function-axioms) are
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | |   (8709)  all_56_2 = e3 & op(e2, e3) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8709) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | |   (8710)  all_56_2 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |   (8711)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8687), (8710), (8711),
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |            #1168.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |   (8712)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8712) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |   (8713)  all_56_5 = e0 & op(e2, e1) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8713) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |   (8714)  all_56_5 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |            (8282), (8714), (function-axioms) are inconsistent
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1551.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |   (8715)  all_56_10 = e0 & op(e2, e0) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8715) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |   (8716)  op(e2, e0) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (8683), (8705), (8716),
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |            #671.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | |   (8717)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8717) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | |   (8718)  all_56_6 = e3 & op(e1, e3) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8718) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | |   (8719)  all_56_6 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8694), (8719) are inconsistent by sub-proof
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | |            #1620.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | |   (8720)  all_56_12 = e3 & op(e0, e3) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8720) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | |   (8721)  all_56_12 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |   (8722)  all_56_15 = e0 & op(e0, e0) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8722) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |   (8723)  op(e0, e0) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (8723), (function-axioms) are
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |   (8724)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8724) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |   (8725)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8725) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |   (8726)  all_56_12 = e0 & op(e0, e3) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8726) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |   (8727)  all_56_12 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8721), (8727) are inconsistent by sub-proof
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |            #1700.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |   (8728)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8728) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8729)  all_56_13 = e0 & op(e0, e2) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8729) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8730)  all_56_13 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8731)  op(e0, e2) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (8732)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8732) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8733)  all_56_0 = e0 & op(e3, e3) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8733) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8734)  op(e3, e3) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8734), (function-axioms) are
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8735)  all_56_2 = e0 & op(e2, e3) = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8735) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8736)  all_56_2 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8705) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8737)  all_54_4 = e1
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8683), (8737) are inconsistent by
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1832.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8738)  all_54_4 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8738) imply:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8739)  all_52_1 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8739) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8740)  all_52_1 = e0
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8740) imply:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8741)   ~ (all_52_13 = e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8741) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8742)   ~ (all_52_13 = e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8683), (8740) imply:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8743)   ~ (e1 = e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8744)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8744) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8745)  all_56_12 = e2 & op(e0, e3) = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8745) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8746)  all_56_12 = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5649), (8694), (8736),
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8746), (function-axioms) are inconsistent by
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #741.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8747)  all_56_13 = e2 & op(e0, e2) = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8747) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8748)  all_56_13 = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8730), (8748) are inconsistent by sub-proof
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8749)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8749) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8750)  all_56_14 = e2 & op(e0, e1) = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8750) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8751)  all_56_14 = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8752)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8752) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8753)  all_56_4 = e3 & op(e3, e1) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8753) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8754)  op(e3, e1) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8691), (8754), (function-axioms) are
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8755)  all_56_5 = e3 & op(e2, e1) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8755) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8756)  all_56_5 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8757)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5640), (8687), (8757),
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #797.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8758)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8758) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8759)  all_56_5 = e2 & op(e2, e1) = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8759) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8760)  all_56_5 = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8756), (8760) imply:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8761)  e3 = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8721), (8761) imply:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8762)  all_56_12 = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5649), (8694), (8736),
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8762), (function-axioms) are inconsistent by
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #741.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8763)  all_56_10 = e2 & op(e2, e0) = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8763) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8764)  op(e2, e0) = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8765)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8765) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8766)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8766) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8767)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8767) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8768)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8768) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8769)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (8144), (8731), (8751),
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8769), (function-axioms) are inconsistent by
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #582.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8770)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8770) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8771)  op(e2, e2) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8687), (8771), (function-axioms) are
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8772)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8772) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8773)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & $i(all_57_8)))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8773) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8774)  op(e3, e3) = e1
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (8774), (function-axioms) are
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8775)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8775) implies:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8776)  op(e1, e1) = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (217), (8690), (8751), (8756),
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8776), (function-axioms) are inconsistent by
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1497.
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8777)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8777) gives:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8778)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5649), (8282), (8695), (8778),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #636.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8779)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (162), (164), (165), (8684), (8764),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8779), (function-axioms) are inconsistent by
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #997.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8780)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8780) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8781)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8781) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8782)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (8687), (8742), (8782),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #642.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8783)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (8146), (8279), (8783),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1883.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8784)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8784) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8785)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8785) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8786)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8786) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8787)  op(e3, e3) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (229), (231), (233), (8282),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8721), (8751), (8756), (8787), (function-axioms)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1508.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8788)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8788) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8789)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (8144), (8731), (8751),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8789), (function-axioms) are inconsistent by
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #582.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8790)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (8282), (8790), (function-axioms) are
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #915.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8791)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8791) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8792)  all_56_8 = e3 & op(e1, e1) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8792) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8793)  op(e1, e1) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8282), (8793), (function-axioms) are
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8794)  all_56_14 = e3 & op(e0, e1) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8794) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8795)  all_56_14 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8751), (8795) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8796)  e3 = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8796) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8797)  e3 = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8721), (8797) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8798)  all_56_12 = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5649), (8694), (8736),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8798), (function-axioms) are inconsistent by
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #741.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8799)  all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8799) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8800)  op(e0, e0) = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (8800), (function-axioms) are
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (8801)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8801) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8802)  all_56_6 = e0 & op(e1, e3) = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8802) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8803)  all_56_6 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (8149), (8282), (8803), (function-axioms)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1527.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8804)  all_56_12 = e0 & op(e0, e3) = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8804) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8805)  all_56_12 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8721), (8805) are inconsistent by sub-proof
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1700.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | |   (8806)  all_56_14 = e0 & op(e0, e1) = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8806) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | |   (8807)  op(e0, e1) = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (8278), (8807), (function-axioms) are
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | |   (8808)   ~ (all_54_12 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | |   (8809)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | REDUCE: (249), (8808) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | |   (8810)   ~ (all_52_3 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | BETA: splitting (8809) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | |   (8811)  all_54_12 = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5642), (8811) are inconsistent by
% 189.16/29.23  | | | | | | | | | | | | | | | | | |            sub-proof #1465.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | |   (8812)   ~ (all_54_12 = e2)
% 189.16/29.23  | | | | | | | | | | | | | | | | | |   (8813)  all_54_12 = e1 | all_54_12 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | BETA: splitting (8813) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | |   (8814)  all_54_12 = e1
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8144), (8814) are inconsistent by
% 189.16/29.23  | | | | | | | | | | | | | | | | | | |            sub-proof #1464.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | |   (8815)  all_54_12 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (8815) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | |   (8816)  all_52_3 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | SIMP: (8816) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | |   (8817)  all_52_3 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | REDUCE: (148), (8817) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | |   (8818)   ~ (all_52_1 = e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8817) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | |   (8819)   ~ (all_52_7 = e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | SIMP: (8819) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | |   (8820)   ~ (all_52_7 = e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8817) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | |   (8821)   ~ (all_52_11 = e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | REDUCE: (8144), (8817) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | |   (8822)   ~ (e1 = e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | |   (8823)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8823) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | |   (8824)  all_56_1 = e0 & op(e3, e2) = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8824) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | |   (8825)  all_56_1 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | |   (8826)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8826) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |   (8827)  all_56_0 = e3 & op(e3, e3) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8827) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |   (8828)  op(e3, e3) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (8828), (function-axioms) are
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |   (8829)  all_56_1 = e3 & op(e3, e2) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8829) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |   (8830)  all_56_1 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8825), (8830) are inconsistent by sub-proof
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |            #1929.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | |   (8831)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8831) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |   (8832)  all_56_4 = e3 & op(e3, e1) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8832) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |   (8833)  op(e3, e1) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8691), (8833), (function-axioms) are
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |   (8834)  all_56_9 = e3 & op(e3, e0) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8834) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | |   (8835)  op(e3, e0) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | |   (8836)  all_54_4 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8836) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | |   (8837)  all_52_1 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8837) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | |   (8838)  all_52_1 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8838) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | |   (8839)   ~ (all_52_9 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8839) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | |   (8840)   ~ (all_52_9 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8838) imply:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | |   (8841)   ~ (all_52_13 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8841) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | |   (8842)   ~ (all_52_13 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (8843)  all_54_6 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8840), (8843) are inconsistent by
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (8844)   ~ (all_54_6 = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (8845)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8846)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8846) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8847)  all_56_2 = e0 & op(e2, e3) = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8847) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8848)  all_56_2 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (224), (8687), (8840),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8842), (8848), (function-axioms) are inconsistent
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #581.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8849)  all_56_3 = e0 & op(e2, e2) = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8849) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8850)  op(e2, e2) = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (226),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (8145), (8825), (8850),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #874.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8851)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8851) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8852)  all_56_5 = e0 & op(e2, e1) = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8852) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8853)  all_56_5 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8282), (8853), (function-axioms) are inconsistent
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1551.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8854)  all_56_10 = e0 & op(e2, e0) = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8854) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8855)  all_56_10 = e0
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8856)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8856) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8857)  all_56_9 = e2 & op(e3, e0) = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5645), (8857), (function-axioms) are
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8858)  all_56_10 = e2 & op(e2, e0) = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8858) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8859)  all_56_10 = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8855), (8859) are inconsistent by sub-proof
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1342.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8860)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8860) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8861)  all_56_11 = e2 & op(e1, e0) = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8861) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8862)  all_56_11 = e2
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8863)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8863) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8864)  all_56_2 = e3 & op(e2, e3) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8864) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8865)  all_56_2 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8866)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8866) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8867)  all_56_6 = e3 & op(e1, e3) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8867) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8868)  all_56_6 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (5648),
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5649), (8865), (8868), (function-axioms) are
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1460.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8869)  all_56_7 = e3 & op(e1, e2) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8869) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8870)  all_56_7 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8871)  op(e1, e2) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8872)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8872) gives:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8873)  all_56_4 = e3 & op(e3, e1) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8873) implies:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8874)  op(e3, e1) = e3
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8691), (8874), (function-axioms) are
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8875)  all_56_5 = e3 & op(e2, e1) = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8875) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8876)  all_56_5 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8877)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8877) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8878)  all_56_2 = e0 & op(e2, e3) = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8878) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8879)  all_56_2 = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8865), (8879) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8880)  e3 = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8876), (8880) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8881)  all_56_5 = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8282), (8881), (function-axioms) are inconsistent
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1551.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8882)  all_56_3 = e0 & op(e2, e2) = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8882) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8883)  op(e2, e2) = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8687), (8883), (function-axioms) are
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8851) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8884)  all_56_5 = e0 & op(e2, e1) = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8884) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8885)  all_56_5 = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8282), (8885), (function-axioms) are inconsistent
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1551.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (223), (8687), (8855), (8865),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8876), (function-axioms) are inconsistent by
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1008.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8886)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8886) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8887)  all_56_8 = e3 & op(e1, e1) = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8887) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8888)  op(e1, e1) = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (8694),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8870), (8888), (function-axioms) are inconsistent
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1772.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8889)  all_56_14 = e3 & op(e0, e1) = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8889) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8890)  all_56_14 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8891)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8891) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8892)  all_56_1 = e2 & op(e3, e2) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8892) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8893)  op(e3, e2) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5643), (8893), (function-axioms) are
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #825.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8894)  all_56_3 = e2 & op(e2, e2) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8894) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8895)  op(e2, e2) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (213),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (226), (8145), (8149),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8282), (8694), (8825), (8862), (8895),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #633.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8896)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8896) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8897)  all_56_7 = e2 & op(e1, e2) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8897) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8898)  op(e1, e2) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8871), (8898), (function-axioms) are
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #823.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8899)  all_56_13 = e2 & op(e0, e2) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8899) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8900)  all_56_13 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8901)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8901) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8902)  all_56_4 = e2 & op(e3, e1) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8902) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8903)  all_56_4 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (218), (8282), (8685),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8890), (8903), (function-axioms) are inconsistent
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1752.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8904)  all_56_5 = e2 & op(e2, e1) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8904) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8905)  op(e2, e1) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8845) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8906)  all_54_6 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (8906) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8907)  all_52_9 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8907) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8908)   ~ (all_52_11 = e2)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8908) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8909)   ~ (all_52_11 = e2)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8907) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8910)   ~ (all_52_13 = e2)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8910) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8911)   ~ (all_52_13 = e2)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8912)  all_54_14 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8912) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8913)  all_52_11 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8913) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8914)  all_52_11 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (8914) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8915)   ~ (all_52_7 = e3)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8916)  all_54_13 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8915), (8916) are inconsistent by
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8917)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8917) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8918)  all_54_13 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (8918) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8919)  all_52_7 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8919) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8920)  all_52_7 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8920) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8921)   ~ (all_52_6 = e2)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8922)  all_54_9 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8922) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8923)  all_52_6 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8923) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8924)  all_52_6 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (8924) imply:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8925)   ~ (all_52_4 = e3)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8926)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8926) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8927)  all_56_0 = e0 & op(e3, e3) = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8927) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8928)  op(e3, e3) = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (8928), (function-axioms) are
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8929)  all_56_2 = e0 & op(e2, e3) = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8929) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8930)  all_56_2 = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (224), (8687), (8840),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8842), (8930), (function-axioms) are inconsistent
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #581.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8931)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8931) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8932)  all_56_6 = e0 & op(e1, e3) = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8932) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8933)  all_56_6 = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8282), (8870), (8933), (function-axioms) are
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1104.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8934)  all_56_12 = e0 & op(e0, e3) = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8934) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8935)  all_56_12 = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8936)  op(e0, e3) = e0
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8937)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8937) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8938)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8938) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8939)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (8687), (8925), (8939),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1673.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8940)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (8150), (8936), (8940),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #580.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8941)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8941) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8942)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5649), (8835), (8942),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #809.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8943)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (8684), (8871), (8943),
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #635.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8944)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8944) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8945)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8945) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8946)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8946) gives:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8947)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8947) implies:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8948)  op(e2, e0) = e2
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8911), (8948), (function-axioms) are
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8949)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8949) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8950)  op(e0, e0) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (213), (214),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (8282), (8862), (8870), (8890),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8900), (8935), (8950), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1490.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8951)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (8146), (8279), (8951),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1883.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8952)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8952) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8953)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8953) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8954)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8954) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8955)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8150), (8936), (8955), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #911.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8956)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_5 & $i(all_57_5)))
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8956) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8957)  op(e2, e2) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (213),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (226), (8145), (8149),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8282), (8694), (8825), (8862), (8957),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #633.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8958)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (8282), (8958), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #915.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8959)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8275), (8684), (8921), (8959) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #951.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8960)  all_54_13 = e1 | all_54_13 = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8145), (8820), (8960) are inconsistent by
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1652.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8961)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8146), (8278), (8909), (8961) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1736.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8962)   ~ (all_54_6 = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (8962) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8963)   ~ (all_52_9 = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8905), (8963), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8964)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (8282), (8890), (8964),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #579.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8965)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (8282), (8862), (8965),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1618.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8966)  all_56_3 = e3 & op(e2, e2) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8966) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8967)  op(e2, e2) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8687), (8967), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8968)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8840), (8842), (8968),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1455.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8969)  all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8969) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8970)  op(e0, e0) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (8970), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |   (8971)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (8683), (8818), (8971) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | |   (8972)  all_56_3 = e0 & op(e2, e2) = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8972) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | |   (8973)  op(e2, e2) = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8687), (8973), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | |   (8974)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8974) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | |   (8975)  all_56_7 = e0 & op(e1, e2) = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8975) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | |   (8976)  all_56_7 = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | |            (216), (8149), (8282), (8976), (function-axioms)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1521.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | |   (8977)  all_56_13 = e0 & op(e0, e2) = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8977) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | |   (8978)  all_56_13 = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | |   (8979)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (5643), (8687), (8979),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | |            #578.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | |   (8980)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8980) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | |   (8981)  all_56_7 = e2 & op(e1, e2) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8981) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | |   (8982)  all_56_7 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | |   (8983)  op(e1, e2) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |   (8984)  all_54_4 = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8984) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |   (8985)  all_52_1 = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8985) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |   (8986)  all_52_1 = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8986) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |   (8987)   ~ (all_52_9 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8987) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |   (8988)   ~ (all_52_9 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8986) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |   (8989)   ~ (all_52_13 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8989) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |   (8990)   ~ (all_52_13 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (8991)  all_54_6 = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8988), (8991) are inconsistent by
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (8992)   ~ (all_54_6 = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (8993)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8993) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8994)  all_54_6 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (8994) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8995)  all_52_9 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8995) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8996)  all_52_9 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8996) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8997)   ~ (all_52_13 = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8997) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8998)   ~ (all_52_13 = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8988), (8996) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8999)   ~ (e3 = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9000)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9000) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9001)  all_56_4 = e3 & op(e3, e1) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9001) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9002)  op(e3, e1) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8691), (9002), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9003)  all_56_5 = e3 & op(e2, e1) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9003) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9004)  op(e2, e1) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8988), (9004), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9005)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9005) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9006)  all_56_8 = e3 & op(e1, e1) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9006) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9007)  op(e1, e1) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8282), (9007), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9008)  all_56_14 = e3 & op(e0, e1) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9008) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9009)  all_56_14 = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9010)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5645), (8998), (9010),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #736.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9011)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9011) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9012)  all_56_11 = e2 & op(e1, e0) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9012) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9013)  all_56_11 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9014)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9014) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9015)  all_56_6 = e3 & op(e1, e3) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9015) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9016)  all_56_6 = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (373), (8988), (8990),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9016), (function-axioms) are inconsistent by
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1454.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9017)  all_56_7 = e3 & op(e1, e2) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9017) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9018)  op(e1, e2) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8983), (9018), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #823.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9019)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9019) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9020)  all_56_8 = e3 & op(e1, e1) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9020) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9021)  op(e1, e1) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9022)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9022) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9023)  all_56_6 = e0 & op(e1, e3) = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9023) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9024)  all_56_6 = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (160), (214), (8149), (8982),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9021), (9024), (function-axioms) are inconsistent
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #577.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9025)  all_56_7 = e0 & op(e1, e2) = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8982), (9025) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #873.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9026)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9013), (9021), (9026),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1773.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9027)  all_56_11 = e3 & op(e1, e0) = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9027) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9028)  all_56_11 = e3
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9013), (9028) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9029)  e3 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9029) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9030)  e3 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9009), (9030) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9031)  all_56_14 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (146), (165), (200), (220), (269),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5640), (8282), (8683), (8691), (8818), (9031),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #659.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9032)  all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9032) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9033)  op(e0, e0) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (9033), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9034)   ~ (all_54_6 = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (9034) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9035)   ~ (all_52_9 = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9036)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9036) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9037)  all_56_4 = e2 & op(e3, e1) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9037) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9038)  all_56_4 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8690), (9038) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9039)  e2 = e1
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9039) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9040)  e2 = e1
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8982), (9040) imply:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9041)  all_56_7 = e1
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (8282),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8694), (9041), (function-axioms) are inconsistent
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1616.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9042)  all_56_5 = e2 & op(e2, e1) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9042) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9043)  op(e2, e1) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9035), (9043), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9044)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9044) gives:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9045)  all_56_8 = e2 & op(e1, e1) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9045) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9046)  op(e1, e1) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8282), (9046), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9047)  all_56_14 = e2 & op(e0, e1) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9047) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9048)  all_56_14 = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (146), (165), (200), (220), (269),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5640), (8282), (8683), (8691), (8818), (9048),
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #659.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |   (9049)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (8683), (8818), (9049) are
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | |   (9050)  all_56_13 = e2 & op(e0, e2) = e2
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8978), (9050) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | |            #1001.
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | |   (9051)  all_56_7 = e1 & op(e1, e2) = e1
% 189.16/29.25  | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | ALPHA: (9051) implies:
% 189.16/29.25  | | | | | | | | | | | | | | | |   (9052)  op(e1, e2) = e1
% 189.16/29.25  | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8684), (9052), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 189.16/29.25  | | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | |   (9053)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.16/29.25  | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 189.16/29.25  | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (8149), (8282), (9053),
% 189.16/29.25  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | | | |            #1528.
% 189.16/29.25  | | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | |   (9054)  all_56_5 = e1 & op(e2, e1) = e1
% 189.16/29.25  | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | ALPHA: (9054) implies:
% 189.16/29.25  | | | | | | | | | | | | | |   (9055)  op(e2, e1) = e1
% 189.16/29.25  | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | | REF_CLOSE: (165), (8685), (9055), (function-axioms) are
% 189.16/29.25  | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 189.16/29.25  | | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | |   (9056)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 189.16/29.25  | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 189.16/29.25  | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | | REF_CLOSE: (4), (157), (8146), (8282), (9056),
% 189.16/29.25  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.25  | | | | | | | | | | | | |            #914.
% 189.16/29.25  | | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | End of split
% 189.16/29.25  | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | Case 2:
% 189.16/29.25  | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | |   (9057)  all_20_2 = e3
% 189.16/29.25  | | | | | | | | | | 
% 189.16/29.25  | | | | | | | | | | COMBINE_EQS: (325), (9057) imply:
% 189.16/29.26  | | | | | | | | | |   (9058)  all_10_2 = e3
% 189.16/29.26  | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | REDUCE: (350), (9058) imply:
% 189.16/29.26  | | | | | | | | | |   (9059)   ~ (all_52_2 = e3)
% 189.16/29.26  | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | REDUCE: (363), (9058) imply:
% 189.16/29.26  | | | | | | | | | |   (9060)   ~ (all_52_8 = e3)
% 189.16/29.26  | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | REDUCE: (364), (9058) imply:
% 189.16/29.26  | | | | | | | | | |   (9061)   ~ (all_52_9 = e3)
% 189.16/29.26  | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | REDUCE: (366), (9058) imply:
% 189.16/29.26  | | | | | | | | | |   (9062)   ~ (all_52_11 = e3)
% 189.16/29.26  | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | REDUCE: (368), (9058) imply:
% 189.16/29.26  | | | | | | | | | |   (9063)   ~ (all_52_14 = e3)
% 189.16/29.26  | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | REDUCE: (45), (9058) imply:
% 189.16/29.26  | | | | | | | | | |   (9064)  op(e1, e1) = e3
% 189.16/29.26  | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | BETA: splitting (67) gives:
% 189.16/29.26  | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | |   (9065)   ~ (all_24_2 = e1)
% 189.16/29.26  | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | REDUCE: (318), (9065) imply:
% 189.16/29.26  | | | | | | | | | | |   (9066)   ~ (all_4_2 = e1)
% 189.16/29.26  | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | BETA: splitting (79) gives:
% 189.16/29.26  | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | |   (9067)   ~ (all_32_2 = e0)
% 189.16/29.26  | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | REDUCE: (314), (9067) imply:
% 189.16/29.26  | | | | | | | | | | | |   (9068)   ~ (all_4_2 = e0)
% 189.16/29.26  | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | BETA: splitting (199) gives:
% 189.16/29.26  | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | |   (9069)  all_54_5 = e3
% 189.16/29.26  | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | COMBINE_EQS: (268), (9069) imply:
% 189.16/29.26  | | | | | | | | | | | | |   (9070)  all_4_2 = e3
% 189.16/29.26  | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | REDUCE: (373), (9070) imply:
% 189.16/29.26  | | | | | | | | | | | | |   (9071)  $false
% 189.16/29.26  | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | CLOSE: (9071) is inconsistent.
% 189.16/29.26  | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | |   (9072)   ~ (all_54_5 = e3)
% 189.16/29.26  | | | | | | | | | | | | |   (9073)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 189.16/29.26  | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | BETA: splitting (9073) gives:
% 189.16/29.26  | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | |   (9074)  all_54_5 = e2
% 189.16/29.26  | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | COMBINE_EQS: (268), (9074) imply:
% 189.16/29.26  | | | | | | | | | | | | | |   (9075)  all_4_2 = e2
% 189.16/29.26  | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | REDUCE: (358), (9075) imply:
% 189.16/29.26  | | | | | | | | | | | | | |   (9076)   ~ (all_52_9 = e2)
% 189.16/29.26  | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | REDUCE: (360), (9075) imply:
% 189.16/29.26  | | | | | | | | | | | | | |   (9077)   ~ (all_52_13 = e2)
% 189.16/29.26  | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | REDUCE: (373), (9075) imply:
% 189.16/29.26  | | | | | | | | | | | | | |   (9078)   ~ (e3 = e2)
% 189.16/29.26  | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | REDUCE: (36), (9075) imply:
% 189.16/29.26  | | | | | | | | | | | | | |   (9079)  op(e2, e2) = e2
% 189.16/29.26  | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 189.16/29.26  | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | |   (9080)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 189.16/29.26  | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 189.16/29.26  | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | BETA: splitting (9080) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | |   (9081)  all_56_12 = e2 & op(e0, e3) = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | ALPHA: (9081) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | |   (9082)  all_56_12 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (168),
% 189.16/29.26  | | | | | | | | | | | | | | | |            (169), (206), (207), (209), (217), (218), (219),
% 189.16/29.26  | | | | | | | | | | | | | | | |            (230), (232), (236), (5648), (5649), (8146),
% 189.16/29.26  | | | | | | | | | | | | | | | |            (8147), (8150), (9060), (9064), (9076), (9082),
% 189.16/29.26  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.26  | | | | | | | | | | | | | | | |            #570.
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | |   (9083)  all_56_13 = e2 & op(e0, e2) = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | ALPHA: (9083) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | |   (9084)  all_56_13 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (160),
% 189.16/29.26  | | | | | | | | | | | | | | | |            (213), (214), (215), (225), (226), (228), (373),
% 189.16/29.26  | | | | | | | | | | | | | | | |            (8145), (8149), (9064), (9079), (9084),
% 189.16/29.26  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.26  | | | | | | | | | | | | | | | |            #568.
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | |   (9085)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 189.16/29.26  | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 189.16/29.26  | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | BETA: splitting (9085) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | |   (9086)  all_56_14 = e2 & op(e0, e1) = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | ALPHA: (9086) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | |   (9087)  all_56_14 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | |   (9088)  op(e0, e1) = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | |   (9089)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.16/29.26  | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 189.16/29.26  | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5645), (9077), (9089),
% 189.16/29.26  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.26  | | | | | | | | | | | | | | | | |            #736.
% 189.16/29.26  | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | |   (9090)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.16/29.26  | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 189.16/29.26  | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | BETA: splitting (9090) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | |   (9091)  all_56_11 = e2 & op(e1, e0) = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | ALPHA: (9091) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | |   (9092)  all_56_11 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | |   (9093)  op(e1, e0) = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 189.16/29.26  | | | | | | | | | | | | | | | | | |              e2, e1, e0, simplifying with (157), (9088) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | |   (9094)  all_52_11 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 189.16/29.26  | | | | | | | | | | | | | | | | | |              e2, e0, e1, simplifying with (160), (9093) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | |   (9095)  all_52_14 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | BETA: splitting (8142) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | |   (9096)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 189.16/29.26  | | | | | | | | | | | | | | | | | | |           op(e0, e1) = all_14_1 & $i(all_14_0) &
% 189.16/29.26  | | | | | | | | | | | | | | | | | | |           $i(all_14_1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | ALPHA: (9096) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | |   (9097)  op(e0, e1) = all_14_1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | |   (9098)  op(all_14_1, e0) = all_14_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | BETA: splitting (8153) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9099)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |           op(e0, e1) = all_16_1 & $i(all_16_0) &
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |           $i(all_16_1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | ALPHA: (9099) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9100)   ~ (all_16_0 = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9101)  op(e0, e1) = all_16_1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9102)  op(all_16_1, e0) = all_16_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_16_1,
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              e1, e0, simplifying with (9088), (9101) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9103)  all_16_1 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              all_16_1, e1, e0, simplifying with (9097), (9101)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9104)  all_16_1 = all_14_1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9103), (9104) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9105)  all_14_1 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (9102), (9103) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9106)  op(e2, e0) = all_16_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (9098), (9105) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9107)  op(e2, e0) = all_14_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              all_14_0, e0, e2, simplifying with (164), (9107)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9108)  all_52_13 = all_14_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              all_16_0, e0, e2, simplifying with (164), (9106)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9109)  all_52_13 = all_16_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9108), (9109) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9110)  all_16_0 = all_14_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | SIMP: (9110) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9111)  all_16_0 = all_14_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9108) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9112)  all_54_7 = all_14_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9108) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9113)   ~ (all_52_1 = all_14_0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9108) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9114)   ~ (all_52_9 = all_14_0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9108) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9115)   ~ (all_52_12 = all_14_0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (9077), (9108) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9116)   ~ (all_14_0 = e2)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (8148), (9108) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9117)   ~ (all_14_0 = e1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9111) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9118)   ~ (all_14_0 = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | |   (9119)  all_54_7 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9112), (9119) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | |   (9120)  all_14_0 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | REDUCE: (9118), (9120) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | |   (9121)  $false
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | CLOSE: (9121) is inconsistent.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | |   (9122)   ~ (all_54_7 = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | |   (9123)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | |   (9124)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9124) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |   (9125)  all_56_2 = e3 & op(e2, e3) = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9125) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |   (9126)  all_56_2 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |   (9127)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9079), (9126), (9127),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |            #661.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |   (9128)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9128) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (9129)  all_56_5 = e1 & op(e2, e1) = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9129) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (9130)  all_56_5 = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (9131)  op(e2, e1) = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9123) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9132)  all_54_7 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9112), (9116), (9132) are inconsistent by
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #605.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9133)   ~ (all_54_7 = e2)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9134)  all_54_7 = e1 | all_54_7 = e0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9135)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9135) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9136)  all_56_9 = e3 & op(e3, e0) = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9136) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9137)  op(e3, e0) = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9138)  all_56_15 = e0 & op(e0, e0) = e0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9138) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9139)  op(e0, e0) = e0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (9139), (function-axioms) are
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9140)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9140) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9141)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9142)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (9126), (9142),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #744.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9143)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9143) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9144)  all_56_6 = e1 & op(e1, e3) = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9144) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9145)  all_56_6 = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9146)  op(e1, e3) = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9134) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9147)  all_54_7 = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9112), (9117), (9147) are inconsistent by
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #616.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9148)  all_54_7 = e0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9112), (9148) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9149)  all_14_0 = e0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9149) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9150)  all_14_0 = e0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9113), (9150) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9151)   ~ (all_52_1 = e0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9114), (9150) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9152)   ~ (all_52_9 = e0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9115), (9150) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9153)   ~ (all_52_12 = e0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9118), (9150) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9154)   ~ (e3 = e0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9116), (9150) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9155)   ~ (e2 = e0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9117), (9150) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9156)   ~ (e1 = e0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (118), (120), (123),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (133), (134), (136), (139), (146), (148), (157),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (160), (162), (164), (165), (167),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (192), (198), (200), (201),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (202), (203), (207), (213), (215), (216), (218),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (226), (227), (228), (229), (230),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (249), (261), (268), (269), (270),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (272), (349), (373), (5640), (5642),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5643), (5644), (5645), (5648), (5649), (8144),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8145), (8146), (8147), (8149), (8150), (9061),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9064), (9066), (9068), (9073), (9076), (9077),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9079), (9087), (9092), (9126), (9130), (9137),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9141), (9145), (9146), (9151), (9152), (9153),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #559.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9157)  all_56_12 = e1 & op(e0, e3) = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9157) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9158)  op(e0, e3) = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (9158), (function-axioms) are
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9159)  all_56_10 = e3 & op(e2, e0) = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9159) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9160)  all_56_10 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (221), (223),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (373), (9126), (9130), (9131), (9160),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1397.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9161)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8150), (9063), (9161),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #585.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (9162)  all_56_10 = e1 & op(e2, e0) = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9162) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (9163)  op(e2, e0) = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (9163), (function-axioms) are
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |   (9164)  all_56_3 = e3 & op(e2, e2) = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9164) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |   (9165)  op(e2, e2) = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9165), (function-axioms) are
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | |   (9166)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9166) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |   (9167)  all_56_5 = e3 & op(e2, e1) = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9167) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |   (9168)  all_56_5 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |            (219), (8146), (9064), (9168), (function-axioms)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1092.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |   (9169)  all_56_10 = e3 & op(e2, e0) = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9169) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |   (9170)  all_56_10 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9123) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |   (9171)  all_54_7 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9112), (9171) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |   (9172)  all_14_0 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9116), (9172) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |   (9173)  $false
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9173) is inconsistent.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |   (9174)  all_54_7 = e1 | all_54_7 = e0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (168), (206), (8150), (9092),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |            (9112), (9115), (9117), (9170), (9174),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |            #601.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9175)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |           $i(all_16_1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | ALPHA: (9175) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9176)   ~ (all_16_1 = e2)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9177)  op(e0, e1) = all_16_1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9088), (9097), (9176), (9177), (function-axioms)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #613.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | |   (9178)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 189.16/29.26  | | | | | | | | | | | | | | | | | | |           $i(all_14_1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | ALPHA: (9178) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | |   (9179)   ~ (all_14_1 = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | |   (9180)  op(e0, e1) = all_14_1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | BETA: splitting (8153) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9181)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |           op(e0, e1) = all_16_1 & $i(all_16_0) &
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |           $i(all_16_1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | ALPHA: (9181) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9182)   ~ (all_16_0 = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9183)  op(e0, e1) = all_16_1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9184)  op(all_16_1, e0) = all_16_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_16_1,
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              e1, e0, simplifying with (9088), (9183) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9185)  all_16_1 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              all_16_1, e1, e0, simplifying with (9180), (9183)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9186)  all_16_1 = all_14_1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9185), (9186) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9187)  all_14_1 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (9184), (9185) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9188)  op(e2, e0) = all_16_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              all_16_0, e0, e2, simplifying with (164), (9188)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |              gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9189)  all_52_13 = all_16_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9189) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9190)  all_54_7 = all_16_0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9189) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9191)   ~ (all_52_1 = all_16_0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9189) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9192)   ~ (all_52_9 = all_16_0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9189) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9193)   ~ (all_52_12 = all_16_0)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (9077), (9189) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9194)   ~ (all_16_0 = e2)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (8148), (9189) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | |   (9195)   ~ (all_16_0 = e1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | |   (9196)  all_54_7 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9190), (9196) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | |   (9197)  all_16_0 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | REDUCE: (9182), (9197) imply:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | |   (9198)  $false
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | CLOSE: (9198) is inconsistent.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | |   (9199)   ~ (all_54_7 = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | |   (9200)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | |   (9201)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9201) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |   (9202)  all_56_2 = e3 & op(e2, e3) = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9202) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | |   (9203)  all_56_2 = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |   (9204)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9079), (9203), (9204),
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |            #661.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |   (9205)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9205) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (9206)  all_56_5 = e1 & op(e2, e1) = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9206) implies:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (9207)  all_56_5 = e1
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9200) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9208)  all_54_7 = e2
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9190), (9194), (9208) are inconsistent by
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #598.
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9209)   ~ (all_54_7 = e2)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9210)  all_54_7 = e1 | all_54_7 = e0
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9211)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9211) gives:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9212)  all_56_9 = e3 & op(e3, e0) = e3
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9212) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9213)  op(e3, e0) = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9214)  all_56_15 = e0 & op(e0, e0) = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9214) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9215)  op(e0, e0) = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (9215), (function-axioms) are
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9216)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9216) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9217)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9218)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (9203), (9218),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #744.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9219)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9219) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9220)  all_56_6 = e1 & op(e1, e3) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9220) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9221)  all_56_6 = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9222)  op(e1, e3) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9210) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9223)  all_54_7 = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9190), (9195), (9223) are inconsistent by
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #597.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9224)  all_54_7 = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9190), (9224) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9225)  all_16_0 = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9225) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9226)  all_16_0 = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9191), (9226) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9227)   ~ (all_52_1 = e0)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9192), (9226) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9228)   ~ (all_52_9 = e0)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9193), (9226) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9229)   ~ (all_52_12 = e0)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9182), (9226) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9230)   ~ (e3 = e0)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9194), (9226) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9231)   ~ (e2 = e0)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9195), (9226) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9232)   ~ (e1 = e0)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (118), (120), (123),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (133), (134), (136), (139), (146), (148), (157),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (160), (162), (164), (165), (167),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (192), (198), (200), (201),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (202), (203), (207), (213), (215), (216), (218),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (226), (227), (228), (229), (230),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (249), (261), (268), (269), (270),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (272), (349), (373), (5640), (5642),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5643), (5644), (5645), (5648), (5649), (8144),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8145), (8146), (8147), (8149), (8150), (9061),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9064), (9066), (9068), (9073), (9076), (9077),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9079), (9087), (9092), (9203), (9207), (9213),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9217), (9221), (9222), (9227), (9228), (9229),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #559.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9233)  all_56_12 = e1 & op(e0, e3) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9233) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9234)  op(e0, e3) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (9234), (function-axioms) are
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9235)  all_56_10 = e3 & op(e2, e0) = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9235) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9236)  all_56_10 = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (8148), (9066),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9203), (9236), (function-axioms) are inconsistent
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #886.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9237)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8150), (9063), (9237),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #585.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (9238)  all_56_10 = e1 & op(e2, e0) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9238) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (9239)  op(e2, e0) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (9239), (function-axioms) are
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |   (9240)  all_56_3 = e3 & op(e2, e2) = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9240) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |   (9241)  op(e2, e2) = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9241), (function-axioms) are
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9242)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9242) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |   (9243)  all_56_5 = e3 & op(e2, e1) = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9243) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |   (9244)  all_56_5 = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |            (219), (8146), (9064), (9244), (function-axioms)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1092.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |   (9245)  all_56_10 = e3 & op(e2, e0) = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9245) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |   (9246)  all_56_10 = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9200) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |   (9247)  all_54_7 = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9190), (9247) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |   (9248)  all_16_0 = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9194), (9248) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |   (9249)  $false
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9249) is inconsistent.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |   (9250)  all_54_7 = e1 | all_54_7 = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (168), (206), (8150), (9092),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |            (9190), (9193), (9195), (9246), (9250),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |            #596.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | |   (9251)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | |           $i(all_16_1)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | ALPHA: (9251) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | |   (9252)   ~ (all_16_1 = e2)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | |   (9253)  op(e0, e1) = all_16_1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9088), (9180), (9252), (9253), (function-axioms)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #613.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | |   (9254)  all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | ALPHA: (9254) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | |   (9255)  op(e0, e0) = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 189.16/29.27  | | | | | | | | | | | | | | | | | |            (206), (207), (209), (8144), (9087), (9255),
% 189.16/29.27  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.27  | | | | | | | | | | | | | | | | | |            #1228.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | |   (9256)  all_56_15 = e2 & op(e0, e0) = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | ALPHA: (9256) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | |   (9257)  op(e0, e0) = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (9257), (function-axioms) are
% 189.16/29.27  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 189.16/29.27  | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | |   (9258)  all_54_5 = e1 | all_54_5 = e0
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | REF_CLOSE: (268), (9066), (9068), (9258) are inconsistent by
% 189.16/29.27  | | | | | | | | | | | | | |            sub-proof #1941.
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | |   (9259)  all_32_2 = e0
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | COMBINE_EQS: (314), (9259) imply:
% 189.16/29.27  | | | | | | | | | | | |   (9260)  all_4_2 = e0
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | COMBINE_EQS: (309), (9260) imply:
% 189.16/29.27  | | | | | | | | | | | |   (9261)  all_36_2 = e0
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | REDUCE: (349), (9260) imply:
% 189.16/29.27  | | | | | | | | | | | |   (9262)   ~ (all_52_1 = e0)
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | REDUCE: (352), (9260) imply:
% 189.16/29.27  | | | | | | | | | | | |   (9263)   ~ (all_52_4 = e0)
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | REDUCE: (356), (9260) imply:
% 189.16/29.27  | | | | | | | | | | | |   (9264)   ~ (all_52_7 = e0)
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | REDUCE: (358), (9260) imply:
% 189.16/29.27  | | | | | | | | | | | |   (9265)   ~ (all_52_9 = e0)
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | REDUCE: (360), (9260) imply:
% 189.16/29.27  | | | | | | | | | | | |   (9266)   ~ (all_52_13 = e0)
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | REDUCE: (373), (9260) imply:
% 189.16/29.27  | | | | | | | | | | | |   (9267)   ~ (e3 = e0)
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | REDUCE: (9066), (9260) imply:
% 189.16/29.27  | | | | | | | | | | | |   (9268)   ~ (e1 = e0)
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | REDUCE: (36), (9260) imply:
% 189.16/29.27  | | | | | | | | | | | |   (9269)  op(e2, e2) = e0
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | BETA: splitting (85) gives:
% 189.16/29.27  | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | |   (9270)   ~ (all_36_2 = e0)
% 189.16/29.27  | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | REDUCE: (9261), (9270) imply:
% 189.16/29.27  | | | | | | | | | | | | |   (9271)  $false
% 189.16/29.27  | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | CLOSE: (9271) is inconsistent.
% 189.16/29.27  | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | |   (9272)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 189.16/29.27  | | | | | | | | | | | | |             & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 189.16/29.27  | | | | | | | | | | | | |             $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 189.16/29.27  | | | | | | | | | | | | |             = all_36_1 & $i(all_36_1))
% 189.16/29.27  | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | BETA: splitting (192) gives:
% 189.16/29.27  | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | |   (9273)  all_54_12 = e3
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | COMBINE_EQS: (249), (9273) imply:
% 189.16/29.27  | | | | | | | | | | | | | |   (9274)  all_52_3 = e3
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | SIMP: (9274) implies:
% 189.16/29.27  | | | | | | | | | | | | | |   (9275)  all_52_3 = e3
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | REDUCE: (148), (9275) imply:
% 189.16/29.27  | | | | | | | | | | | | | |   (9276)   ~ (all_52_1 = e3)
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | REDUCE: (140), (9275) imply:
% 189.16/29.27  | | | | | | | | | | | | | |   (9277)   ~ (all_52_7 = e3)
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | SIMP: (9277) implies:
% 189.16/29.27  | | | | | | | | | | | | | |   (9278)   ~ (all_52_7 = e3)
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | REDUCE: (139), (9275) imply:
% 189.16/29.27  | | | | | | | | | | | | | |   (9279)   ~ (all_52_11 = e3)
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.16/29.27  | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | |   (9280)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.16/29.27  | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 189.16/29.27  | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | BETA: splitting (9280) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | |   (9281)  all_56_2 = e3 & op(e2, e3) = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | ALPHA: (9281) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | |   (9282)  all_56_2 = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | |   (9283)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 189.16/29.27  | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (9282), (9283),
% 189.16/29.27  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.27  | | | | | | | | | | | | | | | | |            #744.
% 189.16/29.27  | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | |   (9284)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.16/29.27  | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 189.16/29.27  | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | BETA: splitting (9284) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | |   (9285)  all_56_6 = e1 & op(e1, e3) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | ALPHA: (9285) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | |   (9286)  all_56_6 = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | |   (9287)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 189.16/29.27  | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (9287) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | |   (9288)  all_56_12 = e3 & op(e0, e3) = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | ALPHA: (9288) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | |   (9289)  all_56_12 = e3
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | |   (9290)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9269), (9282), (9290),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | |            #691.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | |   (9291)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9291) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9292)  all_56_5 = e1 & op(e2, e1) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9292) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9293)  all_56_5 = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9294)  op(e2, e1) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |   (9295)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (5640), (9269), (9295),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |            #590.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |   (9296)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9296) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |   (9297)  all_56_5 = e2 & op(e2, e1) = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9297) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |   (9298)  op(e2, e1) = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9294), (9298), (function-axioms) are
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |   (9299)  all_56_10 = e2 & op(e2, e0) = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9299) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | |   (9300)  op(e2, e0) = e2
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (9301)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9301) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9302)  all_56_0 = e0 & op(e3, e3) = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5648), (9302) are inconsistent by sub-proof
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1461.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9303)  all_56_2 = e0 & op(e2, e3) = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9303) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9304)  all_56_2 = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (36), (85), (224), (373), (9261),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            (9293), (9300), (9304), (function-axioms) are
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1705.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (9305)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9305) gives:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9306)  all_56_6 = e0 & op(e1, e3) = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9286), (9306) are inconsistent by sub-proof
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1776.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9307)  all_56_12 = e0 & op(e0, e3) = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9307) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9308)  all_56_12 = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9289), (9308) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9309)  e3 = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9282), (9309) imply:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9310)  all_56_2 = e0
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (36), (85), (224), (373), (9261),
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            (9293), (9300), (9310), (function-axioms) are
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1705.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9311)  all_56_10 = e1 & op(e2, e0) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9311) implies:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9312)  op(e2, e0) = e1
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (9312), (function-axioms) are
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | End of split
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.16/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | |   (9313)  all_56_13 = e3 & op(e0, e2) = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | ALPHA: (9313) implies:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | |   (9314)  op(e0, e2) = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9278), (9314), (function-axioms) are
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |   (9315)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (230), (232), (236), (5648),
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |            (5649), (8146), (8147), (8150), (9060), (9064),
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |            (9315), (function-axioms) are inconsistent by
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |            sub-proof #571.
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | |   (9316)  all_56_12 = e1 & op(e0, e3) = e1
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | ALPHA: (9316) implies:
% 189.44/29.27  | | | | | | | | | | | | | | | | | |   (9317)  op(e0, e3) = e1
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (9317), (function-axioms) are
% 189.44/29.27  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | End of split
% 189.44/29.27  | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | End of split
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | |   (9318)  all_56_3 = e3 & op(e2, e2) = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | ALPHA: (9318) implies:
% 189.44/29.27  | | | | | | | | | | | | | | | |   (9319)  op(e2, e2) = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9319), (function-axioms) are
% 189.44/29.27  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | End of split
% 189.44/29.27  | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | Case 2:
% 189.44/29.27  | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | |   (9320)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.44/29.27  | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 189.44/29.27  | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | BETA: splitting (9320) gives:
% 189.44/29.27  | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | |   (9321)  all_56_5 = e3 & op(e2, e1) = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | ALPHA: (9321) implies:
% 189.44/29.27  | | | | | | | | | | | | | | | |   (9322)  all_56_5 = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 189.44/29.27  | | | | | | | | | | | | | | | |            (219), (8146), (9064), (9322), (function-axioms)
% 189.44/29.27  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1092.
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | |   (9323)  all_56_10 = e3 & op(e2, e0) = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | ALPHA: (9323) implies:
% 189.44/29.27  | | | | | | | | | | | | | | | |   (9324)  all_56_10 = e3
% 189.44/29.27  | | | | | | | | | | | | | | | |   (9325)  op(e2, e0) = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.44/29.27  | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27  | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | |   (9326)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.44/29.27  | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 189.44/29.27  | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | BETA: splitting (9326) gives:
% 189.44/29.27  | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | |   (9327)  all_56_0 = e0 & op(e3, e3) = e0
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5648), (9327) are inconsistent by sub-proof
% 189.44/29.27  | | | | | | | | | | | | | | | | | |            #1461.
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | |   (9328)  all_56_2 = e0 & op(e2, e3) = e0
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | ALPHA: (9328) implies:
% 189.44/29.27  | | | | | | | | | | | | | | | | | |   (9329)  all_56_2 = e0
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |   (9330)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (5649), (8148),
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |            (9066), (9324), (9330), (function-axioms) are
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #589.
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |   (9331)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.44/29.27  | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (9331) gives:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | |   (9332)  all_56_6 = e3 & op(e1, e3) = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | ALPHA: (9332) implies:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | |   (9333)  op(e1, e3) = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9059), (9333), (function-axioms) are
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | |   (9334)  all_56_12 = e3 & op(e0, e3) = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | ALPHA: (9334) implies:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | |   (9335)  all_56_12 = e3
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | |   (9336)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9336) gives:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9337)  all_56_9 = e2 & op(e3, e0) = e2
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5645), (9337), (function-axioms) are
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9338)  all_56_10 = e2 & op(e2, e0) = e2
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9338) implies:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9339)  all_56_10 = e2
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (9261), (9269), (9329),
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | |            (9339), (function-axioms) are inconsistent by
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1702.
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | |   (9340)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9340) gives:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9341)  all_56_11 = e2 & op(e1, e0) = e2
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9341) implies:
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | |   (9342)  all_56_11 = e2
% 189.44/29.27  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (36), (121), (125), (134),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (170), (190), (191), (202), (206),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (213), (215), (216), (226), (227),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |            (228), (231), (247), (248), (271), (373), (5644),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |            (5649), (8144), (8145), (8146), (9060), (9062),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |            (9064), (9264), (9269), (9278), (9329), (9335),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |            (9342), (function-axioms) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #555.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |   (9343)  all_56_15 = e2 & op(e0, e0) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9343) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |   (9344)  op(e0, e0) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (9344), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | |   (9345)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.44/29.28  | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 189.44/29.28  | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | BETA: splitting (9345) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | |   (9346)  all_56_6 = e0 & op(e1, e3) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | ALPHA: (9346) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | |   (9347)  all_56_6 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | |   (9348)  all_54_4 = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9276), (9348) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | |   (9349)   ~ (all_54_4 = e3)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | |   (9350)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | BETA: splitting (9350) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | |   (9351)  all_54_4 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (5640), (9351) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | |            sub-proof #1833.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | |   (9352)   ~ (all_54_4 = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | |   (9353)  all_54_4 = e1 | all_54_4 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | |   (9354)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (5649), (8148),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | |            (9066), (9324), (9354), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #589.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | |   (9355)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9355) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |   (9356)  all_56_6 = e3 & op(e1, e3) = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9356) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |   (9357)  op(e1, e3) = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9059), (9357), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |   (9358)  all_56_12 = e3 & op(e0, e3) = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9358) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | |   (9359)  all_56_12 = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | |   (9360)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9360) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | |   (9361)  all_56_9 = e2 & op(e3, e0) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5645), (9361), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | |   (9362)  all_56_10 = e2 & op(e2, e0) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9362) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | |   (9363)  op(e2, e0) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9272), (9325), (9363), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1707.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | |   (9364)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9364) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | |   (9365)  all_56_11 = e2 & op(e1, e0) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9365) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | |   (9366)  all_56_11 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (9367)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9368)  all_56_6 = e1 & op(e1, e3) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9368) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9369)  all_56_6 = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (121), (125), (134), (158),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (190), (191), (202), (206), (207), (208),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (215), (216), (226), (227), (228), (247),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (248), (271), (373), (5644), (8145), (8146),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (9060), (9062), (9064), (9264), (9269), (9278),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            (9359), (9366), (9369), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #556.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9370)  all_56_7 = e1 & op(e1, e2) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9370) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9371)  all_56_7 = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9372)  op(e1, e2) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9373)  all_54_13 = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9373) imply:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9374)  all_52_7 = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9278), (9374) imply:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9375)  $false
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9375) is inconsistent.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9376)   ~ (all_54_13 = e3)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9377)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9378)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9378) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9379)  all_56_1 = e3 & op(e3, e2) = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9379) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9380)  all_56_1 = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9381)  op(e3, e2) = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9382)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9382) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9383)  all_56_0 = e1 & op(e3, e3) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9383) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9384)  op(e3, e3) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (9384), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9385)  all_56_2 = e1 & op(e2, e3) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9385) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9386)  all_56_2 = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9377) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9387)  all_54_13 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9387) imply:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9388)  all_52_7 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9388) imply:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9389)   ~ (all_52_11 = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9389) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9390)   ~ (all_52_11 = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9278), (9388) imply:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9391)   ~ (e3 = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9392)  all_54_14 = e3
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9062), (9392) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1260.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9393)   ~ (all_54_14 = e3)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9394)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9395)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (9269), (9381), (9395),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1926.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9396)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9396) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9397)  all_56_7 = e2 & op(e1, e2) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9397) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9398)  all_56_7 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (160), (214), (8149), (9064),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9347), (9398), (function-axioms) are inconsistent
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #577.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9399)  all_56_13 = e2 & op(e0, e2) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9399) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9400)  all_56_13 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9401)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9401) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9402)  all_56_0 = e1 & op(e3, e3) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9402) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9403)  op(e3, e3) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (9347), (9359), (9386),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9403), (function-axioms) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #554.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9404)  all_56_1 = e1 & op(e3, e2) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9380), (9404) are inconsistent by sub-proof
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1882.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9405)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9405) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9406)  all_56_4 = e1 & op(e3, e1) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9406) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9407)  all_56_4 = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9408)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9408) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9409)  all_56_0 = e0 & op(e3, e3) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9409) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9410)  all_56_0 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5648), (9410) imply:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9411)  e2 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9400), (9411) imply:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9412)  all_56_13 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (227), (228), (373), (8149), (9064),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9269), (9371), (9412), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #851.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9413)  all_56_1 = e0 & op(e3, e2) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (228), (373), (8149), (9064),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9400), (9413), (function-axioms) are inconsistent
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #569.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9414)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9414) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9415)  all_56_4 = e0 & op(e3, e1) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (36), (121), (125), (134),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (170), (190), (191), (202), (206),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (213), (215), (216), (226), (227),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (231), (247), (248), (271), (373), (5644),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5649), (8144), (8145), (8146), (9060), (9062),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9064), (9264), (9269), (9278), (9359), (9366),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9386), (9407), (9415), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #553.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9416)  all_56_9 = e0 & op(e3, e0) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9416) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9417)  op(e3, e0) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9418)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9418) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9419)  all_56_4 = e0 & op(e3, e1) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (36), (121), (125), (134),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (170), (190), (191), (202), (206),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (213), (215), (216), (226), (227),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (231), (247), (248), (271), (373), (5644),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5649), (8144), (8145), (8146), (9060), (9062),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9064), (9264), (9269), (9278), (9359), (9366),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9386), (9407), (9419), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #553.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9420)  all_56_5 = e0 & op(e2, e1) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9420) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9421)  all_56_5 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9394) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9422)  all_54_14 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9390), (9422) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1740.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9423)   ~ (all_54_14 = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9424)  all_54_14 = e1 | all_54_14 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9425)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9425) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9426)  all_56_2 = e2 & op(e2, e3) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9426) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9427)  all_56_2 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (164), (222), (8148), (9269), (9421),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9427), (function-axioms) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #872.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9428)  all_56_3 = e2 & op(e2, e2) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9428) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9429)  op(e2, e2) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (160),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (215), (225), (226), (228), (373),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8145), (8149), (9064), (9400), (9429),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #568.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9430)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9430) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9431)  all_56_5 = e2 & op(e2, e1) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (117), (121), (123), (139), (141),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (146), (149), (157), (159), (160), (163), (164),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (169), (196), (198), (202), (233),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (247), (259), (261), (269), (271),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (5640), (5641), (5644), (8146), (8149),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8150), (8153), (9059), (9060), (9061), (9062),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9064), (9262), (9266), (9269), (9276), (9347),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9353), (9359), (9372), (9386), (9390), (9417),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9424), (9431), (function-axioms) are inconsistent
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #552.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9432)  all_56_10 = e2 & op(e2, e0) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9432) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9433)  op(e2, e0) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9272), (9325), (9433), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1707.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9434)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9434) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9435)  all_56_8 = e0 & op(e1, e1) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9435) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9436)  op(e1, e1) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (9347), (9366), (9371),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9436), (function-axioms) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1580.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9437)  all_56_14 = e0 & op(e0, e1) = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9437) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9438)  all_56_14 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9394) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9439)  all_54_14 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9390), (9439) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1740.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9440)   ~ (all_54_14 = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9441)  all_54_14 = e1 | all_54_14 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9442)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9442) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9443)  all_56_4 = e2 & op(e3, e1) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (169), (230),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (236), (5648), (5649), (8147), (9060),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9443), (function-axioms) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #575.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9444)  all_56_5 = e2 & op(e2, e1) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (117), (121), (123), (139), (141),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (146), (149), (157), (159), (160), (163), (164),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (169), (196), (198), (202), (233),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (247), (259), (261), (269), (271),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (5640), (5641), (5644), (8146), (8149),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8150), (8153), (9059), (9060), (9061), (9062),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9064), (9262), (9266), (9269), (9276), (9347),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9353), (9359), (9372), (9386), (9390), (9417),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9441), (9444), (function-axioms) are inconsistent
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #552.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9445)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9445) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9446)  all_56_8 = e2 & op(e1, e1) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9446) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9447)  op(e1, e1) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9447), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9448)  all_56_14 = e2 & op(e0, e1) = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9448) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9449)  all_56_14 = e2
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9438), (9449) imply:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9450)  e2 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9450) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9451)  e2 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9400), (9451) imply:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9452)  all_56_13 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (213),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (227), (228), (373), (8149), (9064),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9269), (9371), (9452), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #851.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9453)  all_56_9 = e1 & op(e3, e0) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9453) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9454)  op(e3, e0) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8147), (9454), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9455)  all_54_13 = e1 | all_54_13 = e0
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8145), (9264), (9455) are inconsistent by
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1652.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9456)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9456) gives:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9457)  all_56_6 = e1 & op(e1, e3) = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9457) implies:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9458)  all_56_6 = e1
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (121), (125), (134), (158),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (190), (202), (206), (207), (208), (213),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (226), (227), (228), (247), (248),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (373), (5644), (8145), (8146), (9060),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9062), (9064), (9264), (9269), (9278), (9359),
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9366), (9377), (9458), (function-axioms) are
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #557.
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9459)  all_56_12 = e1 & op(e0, e3) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9459) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9460)  op(e0, e3) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (9460), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9461)  all_56_3 = e3 & op(e2, e2) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9461) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9462)  op(e2, e2) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9462), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9463)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9463) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9464)  all_56_7 = e3 & op(e1, e2) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9464) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9465)  all_56_7 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (8149), (9064), (9465), (function-axioms)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1769.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9466)  all_56_13 = e3 & op(e0, e2) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9466) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9467)  all_56_13 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (8145), (9359), (9467), (function-axioms)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #558.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (9468)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8149), (9064), (9468),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |            #1770.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9469)  all_56_15 = e2 & op(e0, e0) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9469) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9470)  op(e0, e0) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8150), (9470), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | |   (9471)  all_56_12 = e0 & op(e0, e3) = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | ALPHA: (9471) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | |   (9472)  all_56_12 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |   (9473)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (5649), (8148),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |            (9066), (9324), (9473), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #589.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |   (9474)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | BETA: splitting (9474) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |   (9475)  all_56_6 = e3 & op(e1, e3) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | ALPHA: (9475) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |   (9476)  op(e1, e3) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9059), (9476), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |   (9477)  all_56_12 = e3 & op(e0, e3) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | ALPHA: (9477) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |   (9478)  all_56_12 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9472), (9478) are inconsistent by sub-proof
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |            #1700.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | |   (9479)   ~ (all_54_12 = e3)
% 189.44/29.29  | | | | | | | | | | | | | |   (9480)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 189.44/29.29  | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | REDUCE: (249), (9479) imply:
% 189.44/29.29  | | | | | | | | | | | | | |   (9481)   ~ (all_52_3 = e3)
% 189.44/29.29  | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | BETA: splitting (9480) gives:
% 189.44/29.29  | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | |   (9482)  all_54_12 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | REF_CLOSE: (249), (5642), (9482) are inconsistent by
% 189.44/29.29  | | | | | | | | | | | | | | |            sub-proof #1465.
% 189.44/29.29  | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | |   (9483)   ~ (all_54_12 = e2)
% 189.44/29.29  | | | | | | | | | | | | | | |   (9484)  all_54_12 = e1 | all_54_12 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | BETA: splitting (9484) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | |   (9485)  all_54_12 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8144), (9485) are inconsistent by
% 189.44/29.29  | | | | | | | | | | | | | | | |            sub-proof #1464.
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | |   (9486)  all_54_12 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (9486) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | |   (9487)  all_52_3 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | SIMP: (9487) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | |   (9488)  all_52_3 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | REDUCE: (144), (9488) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | |   (9489)   ~ (all_52_2 = e0)
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | REDUCE: (140), (9488) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | |   (9490)   ~ (all_52_7 = e0)
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | REDUCE: (139), (9488) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | |   (9491)   ~ (all_52_11 = e0)
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | SIMP: (9491) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | |   (9492)   ~ (all_52_11 = e0)
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | REDUCE: (5642), (9488) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | |   (9493)   ~ (e2 = e0)
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | REDUCE: (159), (9488) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | |   (9494)  op(e0, e3) = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | |   (9495)  all_54_14 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9062), (9495) are inconsistent by
% 189.44/29.29  | | | | | | | | | | | | | | | | |            sub-proof #1260.
% 189.44/29.29  | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | |   (9496)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | |   (9497)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | BETA: splitting (9497) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |   (9498)  all_56_6 = e0 & op(e1, e3) = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9489), (9498), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |   (9499)  all_56_7 = e0 & op(e1, e2) = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | ALPHA: (9499) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |   (9500)  all_56_7 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |   (9501)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | BETA: splitting (9501) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | |   (9502)  all_56_1 = e1 & op(e3, e2) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | ALPHA: (9502) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | |   (9503)  all_56_1 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | |   (9504)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9504) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | |   (9505)  all_56_12 = e3 & op(e0, e3) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9505) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | |   (9506)  all_56_12 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9496) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9507)  all_54_14 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (9507) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9508)  all_52_11 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9508) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9509)   ~ (all_52_7 = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9508) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9510)   ~ (all_52_9 = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (9511)  all_54_13 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9511) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (9512)  all_52_7 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (9512) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (9513)   ~ (all_52_4 = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9514)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (168), (169),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (232), (236), (5648), (5649), (8147),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            (9060), (9510), (9514), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #574.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9515)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9515) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9516)  all_56_8 = e2 & op(e1, e1) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9516) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9517)  op(e1, e1) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9517), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9518)  all_56_14 = e2 & op(e0, e1) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9518) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9519)  all_56_14 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9520)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (9513), (9520),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1790.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9521)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9521) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9522)  all_56_7 = e3 & op(e1, e2) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9522) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9523)  all_56_7 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (8149), (9064), (9523), (function-axioms)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1769.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9524)  all_56_13 = e3 & op(e0, e2) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9524) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9525)  all_56_13 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (8150), (9506), (9519),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9525), (function-axioms) are inconsistent by
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #889.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (9526)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8145), (9264), (9509), (9526) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1651.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9527)  all_54_14 = e1 | all_54_14 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8146), (9492), (9527) are inconsistent by
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1737.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | |   (9528)  all_56_13 = e3 & op(e0, e2) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9528) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | |   (9529)  all_56_13 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (9269), (9500), (9503),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | |            (9529), (function-axioms) are inconsistent by
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1284.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | |   (9530)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (230), (232), (236), (5648),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | |            (5649), (8146), (8147), (8150), (9060), (9064),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | |            (9530), (function-axioms) are inconsistent by
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #571.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | |   (9531)  all_56_3 = e1 & op(e2, e2) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | ALPHA: (9531) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | |   (9532)  op(e2, e2) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9269), (9532), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |   (9533)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (227), (228),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |            (373), (9269), (9500), (9533), (function-axioms)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1283.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | |   (9534)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | BETA: splitting (9534) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |   (9535)  all_56_8 = e0 & op(e1, e1) = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | ALPHA: (9535) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |   (9536)  op(e1, e1) = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9536), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |   (9537)  all_56_11 = e0 & op(e1, e0) = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | ALPHA: (9537) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | |   (9538)  all_56_11 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |   (9539)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | BETA: splitting (9539) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | |   (9540)  all_56_9 = e2 & op(e3, e0) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5645), (9540), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | |   (9541)  all_56_10 = e2 & op(e2, e0) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | ALPHA: (9541) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | |   (9542)  op(e2, e0) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | |   (9543)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9543) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | |   (9544)  all_56_2 = e3 & op(e2, e3) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9544) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | |   (9545)  all_56_2 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9496) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9546)  all_54_14 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (9546) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9547)  all_52_11 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9547) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9548)   ~ (all_52_7 = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9547) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | |   (9549)   ~ (all_52_9 = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (9550)  all_54_13 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9550) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (9551)  all_52_7 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (9551) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (9552)   ~ (all_52_4 = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9553)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (168), (169),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (232), (236), (5648), (5649), (8147),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            (9060), (9549), (9553), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #574.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9554)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9554) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9555)  all_56_8 = e2 & op(e1, e1) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9555) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9556)  op(e1, e1) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9556), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9557)  all_56_14 = e2 & op(e0, e1) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9557) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9558)  all_56_14 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9559)  all_54_6 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9061), (9559) are inconsistent by
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9560)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9561)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (9552), (9561),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1790.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9562)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9562) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9563)  all_56_7 = e3 & op(e1, e2) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9563) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9564)  all_56_7 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (8149), (9064), (9564), (function-axioms)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1769.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9565)  all_56_13 = e3 & op(e0, e2) = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9565) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9566)  all_56_13 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9567)  all_54_1 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9567) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9568)  all_52_4 = e3
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9552), (9568) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9569)  $false
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9569) is inconsistent.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9570)   ~ (all_54_1 = e3)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9571)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9571) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9572)  all_54_1 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9572) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9573)  all_52_4 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5643), (9573) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9574)  $false
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9574) is inconsistent.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9575)   ~ (all_54_1 = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9576)  all_54_1 = e1 | all_54_1 = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9577)  all_56_15 = e0 & op(e0, e0) = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9577) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9578)  op(e0, e0) = e0
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8150), (9578), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9579)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9579) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9580)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9581)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9581) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9582)  all_56_6 = e2 & op(e1, e3) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5641), (9582), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9583)  all_56_7 = e2 & op(e1, e2) = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9583) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9584)  all_56_7 = e2
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9585)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (9545), (9585),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #744.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9586)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9586) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9587)  all_56_6 = e1 & op(e1, e3) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9587) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9588)  op(e1, e3) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9589)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9269), (9545), (9589),
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #691.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9590)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9590) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9591)  all_56_5 = e1 & op(e2, e1) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9591) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9592)  all_56_5 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9576) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9593)  all_54_1 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9593) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9594)  all_52_4 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9594) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9595)  all_52_4 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (9595) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9596)   ~ (all_52_6 = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9596) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9597)   ~ (all_52_6 = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9595) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9598)   ~ (all_52_8 = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9598) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9599)   ~ (all_52_8 = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9595) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9600)   ~ (all_52_12 = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9552), (9595) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9601)   ~ (e3 = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5643), (9595) imply:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9602)   ~ (e2 = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9603)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9603) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9604)  all_56_0 = e1 & op(e3, e3) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9604) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9605)  op(e3, e3) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (9605), (function-axioms) are
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9606)  all_56_1 = e1 & op(e3, e2) = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9606) implies:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9607)  all_56_1 = e1
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9608)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9608) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9609)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9609) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9610)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (9552), (9610),
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1530.
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9611)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (8150), (9494), (9611),
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #580.
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9612)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9612) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9613)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9613) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9614)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9614) implies:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9615)  all_57_10 = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9616)  op(e3, e3) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9617)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9618)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9618) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9619)  all_56_4 = e0 & op(e3, e1) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9619) implies:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9620)  all_56_4 = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9621)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (159), (162), (167), (170), (192),
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249), (373), (5640), (5642), (8144), (9269),
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9481), (9552), (9588), (9597), (9621),
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #551.
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9622)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9622) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9623)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9623) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9624)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (169), (9060), (9616), (9624),
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #565.
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9625)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9625) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9626)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9626) implies:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9627)  op(e2, e1) = e2
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9549), (9627), (function-axioms) are
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9628)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9628) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9629)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9629) implies:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9630)   ~ (all_57_10 = e0)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9615), (9630) imply:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9631)  $false
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9631) is inconsistent.
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9632)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9632) implies:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9633)  op(e1, e1) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (9592),
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9620), (9633), (function-axioms) are inconsistent
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1817.
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9634)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9634) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9635)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9269), (9617), (9635),
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #550.
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9636)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9636) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9637)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9637) implies:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9638)  op(e1, e1) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (9592),
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9620), (9638), (function-axioms) are inconsistent
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1817.
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9639)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9639) gives:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9640)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9640) implies:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9641)  op(e1, e0) = e1
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9617), (9641), (function-axioms) are
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1271.
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9642)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.44/29.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9642) implies:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9643)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9643) gives:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9644)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9644) gives:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9645)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9645) implies:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9646)  op(e2, e2) = e3
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9646), (function-axioms) are
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9647)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9647) gives:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9648)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_1)
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9648) implies:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9649)   ~ (all_57_1 = e1)
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9650)  op(e1, e3) = all_57_1
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9588), (9649), (9650), (function-axioms) are
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1326.
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9651)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3)
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9651) implies:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9652)  all_57_10 = e2
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9615), (9652) imply:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9653)  e2 = e0
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9653) implies:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9654)  e2 = e0
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9584), (9654) imply:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9655)  all_56_7 = e0
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (9269), (9566), (9607),
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9655), (function-axioms) are inconsistent by
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1284.
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9656)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9656) gives:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9657)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9657) implies:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9658)  op(e1, e1) = e2
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9658), (function-axioms) are
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9659)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9269), (9616), (9659), (function-axioms) are
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #549.
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9660)  all_56_5 = e0 & op(e2, e1) = e0
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9660) implies:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9661)  all_56_5 = e0
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (157), (169), (218), (8146), (9064),
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9599), (9661), (function-axioms) are inconsistent
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1234.
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.44/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9662)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (9064), (9492), (9662),
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1238.
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9663)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_1 & $i(all_57_1)))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9663) implies:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9664)  op(e3, e0) = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (5649), (9060),
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9607), (9664), (function-axioms) are inconsistent
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #688.
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9665)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (9269), (9597), (9665),
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1731.
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9666)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9666) gives:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9667)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9667) gives:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9668)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9668) gives:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9669)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_13 & $i(all_57_13)))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9669) implies:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9670)  all_57_11 = e2
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9671)  all_57_5 = e2
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9672)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9673)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9673) gives:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9674)  all_56_4 = e0 & op(e3, e1) = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9674) implies:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9675)  all_56_4 = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9676)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (159), (162), (167), (170), (192),
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249), (373), (5640), (5642), (8144), (9269),
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9481), (9552), (9588), (9597), (9676),
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #551.
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9677)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9677) gives:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9678)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9678) gives:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9679)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (5649), (9060), (9679),
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #561.
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9680)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9680) gives:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9681)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_12)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9681) implies:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9682)  op(e2, e1) = e2
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9549), (9682), (function-axioms) are
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9683)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9683) gives:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9684)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9684) implies:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9685)   ~ (all_57_11 = e2)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9670), (9685) imply:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9686)  $false
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9686) is inconsistent.
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9687)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9687) implies:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9688)  op(e1, e1) = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (9592),
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9675), (9688), (function-axioms) are inconsistent
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1817.
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9689)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9689) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9690)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9269), (9672), (9690),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #550.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9691)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9691) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9692)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9692) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9693)  op(e1, e1) = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (9592),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9675), (9693), (function-axioms) are inconsistent
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1817.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9694)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9694) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9695)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9695) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9696)  op(e1, e0) = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9672), (9696), (function-axioms) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1271.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9697)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9697) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9698)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9698) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9699)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9699) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9700)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9700) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9701)  op(e2, e2) = e3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9701), (function-axioms) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9702)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9702) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9703)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_1)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9703) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9704)   ~ (all_57_1 = e1)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9705)  op(e1, e3) = all_57_1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9588), (9704), (9705), (function-axioms) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1326.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9706)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9706) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9707)  all_57_5 = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9671), (9707) imply:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9708)  e2 = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9584), (9708) imply:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9709)  all_56_7 = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (9269), (9566), (9607),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9709), (function-axioms) are inconsistent by
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1284.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9710)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9710) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9711)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9711) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9712)  op(e1, e1) = e2
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9712), (function-axioms) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9713)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5649), (9269), (9713),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #548.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9714)  all_56_5 = e0 & op(e2, e1) = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9714) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9715)  all_56_5 = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (157), (169), (218), (8146), (9064),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9599), (9715), (function-axioms) are inconsistent
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1234.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9716)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (9064), (9492), (9716),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1238.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9717)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_4 & $i(all_57_4)))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9717) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9718)  op(e2, e0) = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9266), (9718), (function-axioms) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9719)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9719) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9720)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9720) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9721)  op(e0, e1) = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (261), (9265), (9549), (9560),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9721), (function-axioms) are inconsistent by
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #648.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9722)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9722) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9723)  op(e0, e1) = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9492), (9723), (function-axioms) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9724)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9724) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9725)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (8150), (9269), (9494), (9725),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #898.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9726)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (8150), (9064), (9726),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #866.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9727)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (8147), (9599), (9727),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #608.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9728)  all_54_1 = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (9263), (9728) are inconsistent by
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #696.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9729)  all_56_10 = e1 & op(e2, e0) = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9729) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9730)  op(e2, e0) = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8148), (9730), (function-axioms) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9731)  all_56_12 = e1 & op(e0, e3) = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9731) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9732)  all_56_12 = e1
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9558), (9566), (9580), (9732) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1694.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9733)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9733) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9734)  all_56_8 = e2 & op(e1, e1) = e2
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9734) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9735)  op(e1, e1) = e2
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9735), (function-axioms) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9736)  all_56_11 = e2 & op(e1, e0) = e2
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9538), (9736) are inconsistent by sub-proof
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1690.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (9737)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8145), (9264), (9548), (9737) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1651.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | |   (9738)  all_54_14 = e1 | all_54_14 = e0
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8146), (9492), (9738) are inconsistent by
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1737.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (9739)  all_56_3 = e3 & op(e2, e2) = e3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9739) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (9740)  op(e2, e2) = e3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9740), (function-axioms) are
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | |   (9741)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9741) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (9742)  all_56_5 = e3 & op(e2, e1) = e3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9742) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (9743)  all_56_5 = e3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |            (219), (8146), (9064), (9743), (function-axioms)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1092.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (9744)  all_56_10 = e3 & op(e2, e0) = e3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9744) implies:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (9745)  op(e2, e0) = e3
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (85), (9261), (9542), (9745),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | |            #1706.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | |   (9746)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8150), (9538), (9746),
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | |            #955.
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | End of split
% 189.48/29.32  | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | |   (9747)  all_24_2 = e1
% 189.48/29.32  | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | COMBINE_EQS: (318), (9747) imply:
% 189.48/29.32  | | | | | | | | | | |   (9748)  all_4_2 = e1
% 189.48/29.32  | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | SIMP: (9748) implies:
% 189.48/29.32  | | | | | | | | | | |   (9749)  all_4_2 = e1
% 189.48/29.32  | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | REDUCE: (352), (9749) imply:
% 189.48/29.32  | | | | | | | | | | |   (9750)   ~ (all_52_4 = e1)
% 189.48/29.32  | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | REDUCE: (354), (9749) imply:
% 189.48/29.32  | | | | | | | | | | |   (9751)   ~ (all_52_6 = e1)
% 189.48/29.32  | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | REDUCE: (373), (9749) imply:
% 189.48/29.32  | | | | | | | | | | |   (9752)   ~ (e3 = e1)
% 189.48/29.32  | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | REDUCE: (36), (9749) imply:
% 189.48/29.32  | | | | | | | | | | |   (9753)  op(e2, e2) = e1
% 189.48/29.32  | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | BETA: splitting (232) gives:
% 189.48/29.32  | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | |   (9754)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 189.48/29.32  | | | | | | | | | | | |             & op(e3, e2) = e1)
% 189.48/29.32  | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | REF_CLOSE: (6), (170), (5649), (9750), (9754),
% 189.48/29.32  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.32  | | | | | | | | | | | |            #800.
% 189.48/29.32  | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | |   (9755)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 189.48/29.32  | | | | | | | | | | | |             & op(e3, e0) = e1)
% 189.48/29.32  | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | BETA: splitting (9755) gives:
% 189.48/29.32  | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | |   (9756)  all_56_4 = e1 & op(e3, e1) = e1
% 189.48/29.32  | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | ALPHA: (9756) implies:
% 189.48/29.32  | | | | | | | | | | | | |   (9757)  all_56_4 = e1
% 189.48/29.32  | | | | | | | | | | | | |   (9758)  op(e3, e1) = e1
% 189.48/29.32  | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | BETA: splitting (231) gives:
% 189.48/29.32  | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | |   (9759)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 189.48/29.32  | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 189.48/29.32  | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | BETA: splitting (9759) gives:
% 189.48/29.32  | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | |   (9760)  all_56_0 = e1 & op(e3, e3) = e1
% 189.48/29.32  | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | ALPHA: (9760) implies:
% 189.48/29.32  | | | | | | | | | | | | | | |   (9761)  op(e3, e3) = e1
% 189.48/29.32  | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (9761), (function-axioms) are
% 189.48/29.32  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 189.48/29.32  | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | Case 2:
% 189.48/29.32  | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | |   (9762)  all_56_2 = e1 & op(e2, e3) = e1
% 189.48/29.32  | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | ALPHA: (9762) implies:
% 189.48/29.32  | | | | | | | | | | | | | | |   (9763)  all_56_2 = e1
% 189.48/29.32  | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.48/29.32  | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | Case 1:
% 189.48/29.32  | | | | | | | | | | | | | | | | 
% 189.48/29.32  | | | | | | | | | | | | | | | |   (9764)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.48/29.32  | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 189.48/29.32  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9753), (9763), (9764), (function-axioms) are
% 189.48/29.33  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1021.
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | |   (9765)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.48/29.33  | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | BETA: splitting (9765) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | |   (9766)  all_56_5 = e3 & op(e2, e1) = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | ALPHA: (9766) implies:
% 189.48/29.33  | | | | | | | | | | | | | | | | |   (9767)  all_56_5 = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (9064),
% 189.48/29.33  | | | | | | | | | | | | | | | | |            (9757), (9767), (function-axioms) are inconsistent
% 189.48/29.33  | | | | | | | | | | | | | | | | |            by sub-proof #1093.
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | |   (9768)  all_56_10 = e3 & op(e2, e0) = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | ALPHA: (9768) implies:
% 189.48/29.33  | | | | | | | | | | | | | | | | |   (9769)  all_56_10 = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | |   (9770)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | BETA: splitting (9770) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9771)  all_56_0 = e3 & op(e3, e3) = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | ALPHA: (9771) implies:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9772)  op(e3, e3) = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5649), (9772), (function-axioms) are
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9773)  all_56_2 = e3 & op(e2, e3) = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | ALPHA: (9773) implies:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9774)  all_56_2 = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9775)  op(e2, e3) = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (9753),
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |            (9769), (9774), (9775), (function-axioms) are
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1165.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | |   (9776)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | BETA: splitting (9776) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9777)  all_56_6 = e3 & op(e1, e3) = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | ALPHA: (9777) implies:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9778)  op(e1, e3) = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9059), (9778), (function-axioms) are
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9779)  all_56_12 = e3 & op(e0, e3) = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | ALPHA: (9779) implies:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9780)  all_56_12 = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | |   (9781)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | BETA: splitting (9781) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | |   (9782)  all_56_6 = e1 & op(e1, e3) = e1
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | ALPHA: (9782) implies:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | |   (9783)  all_56_6 = e1
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (5648), (9763), (9780),
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | |            (9783) are inconsistent by sub-proof #689.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | |   (9784)  all_56_7 = e1 & op(e1, e2) = e1
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | ALPHA: (9784) implies:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | |   (9785)  op(e1, e2) = e1
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9751), (9785), (function-axioms) are
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | |   (9786)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (8149), (9064), (9786),
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | |            #1770.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | |   (9787)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 189.48/29.33  | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 189.48/29.33  | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | BETA: splitting (9787) gives:
% 189.48/29.33  | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | |   (9788)  all_56_6 = e1 & op(e1, e3) = e1
% 189.48/29.33  | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | ALPHA: (9788) implies:
% 189.48/29.33  | | | | | | | | | | | | | | |   (9789)  op(e1, e3) = e1
% 189.48/29.33  | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | |   (9790)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.48/29.33  | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.48/29.33  | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.48/29.33  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.48/29.33  | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.48/29.33  | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.48/29.33  | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.48/29.33  | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.48/29.33  | | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.48/29.33  | | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.48/29.33  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.48/29.33  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.48/29.33  | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.48/29.33  | | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.48/29.33  | | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.48/29.33  | | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.48/29.33  | | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | BETA: splitting (9790) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | |   (9791)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.48/29.33  | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.48/29.33  | | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | BETA: splitting (9791) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | |   (9792)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.48/29.33  | | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5640), (9789), (9792), (function-axioms)
% 189.48/29.33  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #755.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | |   (9793)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8150), (9753), (9793), (function-axioms) are
% 189.48/29.33  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #938.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | |   (9794)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.48/29.33  | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.48/29.33  | | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.48/29.33  | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.48/29.33  | | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_10))
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | BETA: splitting (9794) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | |   (9795)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10))
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (8150), (9064), (9795),
% 189.48/29.33  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.33  | | | | | | | | | | | | | | | | | |            #882.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | |   (9796)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e1) = all_57_14 & $i(all_57_3) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (9751), (9758), (9796),
% 189.48/29.33  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.33  | | | | | | | | | | | | | | | | | |            #1140.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | |   (9797)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.48/29.33  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.33  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.33  | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.33  | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.48/29.33  | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.48/29.33  | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.48/29.33  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.33  | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.48/29.33  | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.48/29.33  | | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.48/29.33  | | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.48/29.33  | | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.48/29.33  | | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 189.48/29.33  | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.48/29.33  | | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 189.48/29.33  | | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.48/29.33  | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.48/29.33  | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.48/29.33  | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.48/29.33  | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.48/29.33  | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.48/29.33  | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.48/29.33  | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.33  | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.48/29.33  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.33  | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.33  | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.48/29.33  | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.33  | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.48/29.33  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.33  | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.33  | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.48/29.33  | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | BETA: splitting (9797) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | |   (9798)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.33  | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.48/29.33  | | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | BETA: splitting (9798) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | |   (9799)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5649), (9758), (9799),
% 189.48/29.33  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.33  | | | | | | | | | | | | | | | | | |            #547.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | |   (9800)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9064), (9753), (9800),
% 189.48/29.33  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.48/29.33  | | | | | | | | | | | | | | | | | |            #840.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | |   (9801)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.48/29.33  | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.48/29.33  | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.48/29.33  | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.48/29.33  | | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.48/29.33  | | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.48/29.33  | | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.48/29.33  | | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 189.48/29.33  | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.33  | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.48/29.33  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.33  | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.48/29.33  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.48/29.33  | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | BETA: splitting (9801) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | |   (9802)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.48/29.33  | | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | BETA: splitting (9802) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9803)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |           op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |           op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | ALPHA: (9803) implies:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9804)  op(e3, e3) = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5649), (9804), (function-axioms) are
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9805)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | ALPHA: (9805) implies:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |   (9806)  op(e1, e0) = e1
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8149), (9806), (function-axioms) are
% 189.48/29.33  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | End of split
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | Case 2:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | |   (9807)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.48/29.33  | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.48/29.33  | | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | BETA: splitting (9807) gives:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | 
% 189.48/29.33  | | | | | | | | | | | | | | | | | | Case 1:
% 189.48/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |   (9808)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | ALPHA: (9808) implies:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |   (9809)  op(e1, e1) = e0
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9064), (9809), (function-axioms) are
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |   (9810)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.51/29.33  | | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (9810) gives:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |   (9811)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | ALPHA: (9811) implies:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |   (9812)  op(e1, e0) = e1
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8149), (9812), (function-axioms) are
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |   (9813)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7)))
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | ALPHA: (9813) implies:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |   (9814)  op(e0, e0) = all_57_15
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |   (9815)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (8150), (9814)
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |              gives:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |   (9816)  all_57_15 = e1
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (9789) gives:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |   (9817)  all_52_2 = e1
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (9758) gives:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |   (9818)  all_52_8 = e1
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | REDUCE: (5644), (9818) imply:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | |   (9819)   ~ (e2 = e1)
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | BETA: splitting (9815) gives:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |   (9820)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9820) gives:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |   (9821)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_0)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9821) implies:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |   (9822)  op(e2, e2) = e3
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9753), (9822), (function-axioms) are
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |   (9823)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |               e2) = e0 & $i(all_57_3))
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9823) gives:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9824)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_1)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9824) implies:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9825)   ~ (all_57_1 = e1)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9826)  op(e1, e3) = all_57_1
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9789), (9825), (9826), (function-axioms) are
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1326.
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9827)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9827) implies:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9828)   ~ (all_57_3 = e3)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9829)  op(e0, e2) = e0
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9830)  op(e3, e2) = all_57_3
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (9829) gives:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9831)  all_52_7 = e0
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |              all_57_3, e2, e3, simplifying with (170), (9830)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9832)  all_57_3 = all_52_4
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9828), (9832) imply:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9833)   ~ (all_52_4 = e3)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (9831) imply:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9834)   ~ (all_52_4 = e0)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (203), (272), (5643), (9750), (9833), (9834) are
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #646.
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |   (9835)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9835) gives:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |   (9836)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_4)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9836) implies:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |   (9837)  op(e1, e1) = e2
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9064), (9837), (function-axioms) are
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |   (9838)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | |               e1) = e0 & $i(all_57_7))
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9838) gives:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9839)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |             e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9839) implies:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9840)  op(e3, e3) = e1
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5649), (9840), (function-axioms) are
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9841)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9841) implies:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9842)   ~ (all_57_15 = e1)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9816), (9842) imply:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (9843)  $false
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9843) is inconsistent.
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | |   (9844)  all_56_12 = e1 & op(e0, e3) = e1
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | ALPHA: (9844) implies:
% 189.51/29.34  | | | | | | | | | | | | | | |   (9845)  op(e0, e3) = e1
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | REF_CLOSE: (159), (8144), (9845), (function-axioms) are
% 189.51/29.34  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | |   (9846)  all_56_9 = e1 & op(e3, e0) = e1
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | ALPHA: (9846) implies:
% 189.51/29.34  | | | | | | | | | | | | |   (9847)  op(e3, e0) = e1
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | REF_CLOSE: (168), (8147), (9847), (function-axioms) are
% 189.51/29.34  | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | 
% 189.51/29.34  | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | 
% 189.51/29.34  | | | | | | | End of split
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | Case 2:
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | |   (9848)  all_56_1 = e2 & op(e3, e2) = e2
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | | ALPHA: (9848) implies:
% 189.51/29.34  | | | | | | |   (9849)  op(e3, e2) = e2
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | | REF_CLOSE: (170), (5643), (9849), (function-axioms) are
% 189.51/29.34  | | | | | | |            inconsistent by sub-proof #825.
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | End of split
% 189.51/29.34  | | | | | | 
% 189.51/29.34  | | | | | Case 2:
% 189.51/29.34  | | | | | | 
% 189.51/29.34  | | | | | |   (9850)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 &
% 189.51/29.34  | | | | | |             op(e3, e0) = e2)
% 189.51/29.34  | | | | | | 
% 189.51/29.34  | | | | | | BETA: splitting (9850) gives:
% 189.51/29.34  | | | | | | 
% 189.51/29.34  | | | | | | Case 1:
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | |   (9851)  all_56_4 = e2 & op(e3, e1) = e2
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | | REF_CLOSE: (169), (5644), (9851), (function-axioms) are
% 189.51/29.34  | | | | | | |            inconsistent by sub-proof #810.
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | Case 2:
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | |   (9852)  all_56_9 = e2 & op(e3, e0) = e2
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | | REF_CLOSE: (168), (5645), (9852), (function-axioms) are
% 189.51/29.34  | | | | | | |            inconsistent by sub-proof #737.
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | End of split
% 189.51/29.34  | | | | | | 
% 189.51/29.34  | | | | | End of split
% 189.51/29.34  | | | | | 
% 189.51/29.34  | | | | End of split
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | Case 2:
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | |   (9853)  all_10_2 = e2
% 189.51/29.34  | | | |   (9854)  ( ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 & op(e1, e2)
% 189.51/29.34  | | | |             = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~ (all_10_1 =
% 189.51/29.34  | | | |               e0) & op(e1, e2) = all_10_1 & $i(all_10_1))
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | | COMBINE_EQS: (332), (9853) imply:
% 189.51/29.34  | | | |   (9855)  all_34_2 = e2
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | | REDUCE: (350), (9853) imply:
% 189.51/29.34  | | | |   (9856)   ~ (all_52_2 = e2)
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | | REDUCE: (361), (9853) imply:
% 189.51/29.34  | | | |   (9857)   ~ (all_52_6 = e2)
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | | REDUCE: (363), (9853) imply:
% 189.51/29.34  | | | |   (9858)   ~ (all_52_8 = e2)
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | | REDUCE: (364), (9853) imply:
% 189.51/29.34  | | | |   (9859)   ~ (all_52_9 = e2)
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | | REDUCE: (366), (9853) imply:
% 189.51/29.34  | | | |   (9860)   ~ (all_52_11 = e2)
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | | REDUCE: (368), (9853) imply:
% 189.51/29.34  | | | |   (9861)   ~ (all_52_14 = e2)
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | | REDUCE: (45), (9853) imply:
% 189.51/29.34  | | | |   (9862)  op(e1, e1) = e2
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | | BETA: splitting (49) gives:
% 189.51/29.34  | | | | 
% 189.51/29.34  | | | | Case 1:
% 189.51/29.34  | | | | | 
% 189.51/29.34  | | | | |   (9863)   ~ (all_12_2 = e2)
% 189.51/29.34  | | | | | 
% 189.51/29.34  | | | | | REDUCE: (324), (9863) imply:
% 189.51/29.34  | | | | |   (9864)   ~ (all_6_2 = e2)
% 189.51/29.34  | | | | | 
% 189.51/29.34  | | | | | BETA: splitting (52) gives:
% 189.51/29.34  | | | | | 
% 189.51/29.34  | | | | | Case 1:
% 189.51/29.34  | | | | | | 
% 189.51/29.34  | | | | | |   (9865)   ~ (all_14_2 = e1)
% 189.51/29.34  | | | | | | 
% 189.51/29.34  | | | | | | BETA: splitting (58) gives:
% 189.51/29.34  | | | | | | 
% 189.51/29.34  | | | | | | Case 1:
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | |   (9866)   ~ (all_18_2 = e3)
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | | REDUCE: (301), (9866) imply:
% 189.51/29.34  | | | | | | |   (9867)   ~ (all_14_2 = e3)
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | | BETA: splitting (67) gives:
% 189.51/29.34  | | | | | | | 
% 189.51/29.34  | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | 
% 189.51/29.34  | | | | | | | |   (9868)   ~ (all_24_2 = e1)
% 189.51/29.34  | | | | | | | | 
% 189.51/29.34  | | | | | | | | REDUCE: (318), (9868) imply:
% 189.51/29.34  | | | | | | | |   (9869)   ~ (all_4_2 = e1)
% 189.51/29.34  | | | | | | | | 
% 189.51/29.34  | | | | | | | | BETA: splitting (70) gives:
% 189.51/29.34  | | | | | | | | 
% 189.51/29.34  | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | 
% 189.51/29.34  | | | | | | | | |   (9870)   ~ (all_26_2 = e1)
% 189.51/29.34  | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | REDUCE: (307), (9870) imply:
% 189.51/29.34  | | | | | | | | |   (9871)   ~ (all_6_2 = e1)
% 189.51/29.34  | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | BETA: splitting (204) gives:
% 189.51/29.34  | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | |   (9872)  all_54_0 = e3
% 189.51/29.34  | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | COMBINE_EQS: (279), (9872) imply:
% 189.51/29.34  | | | | | | | | | |   (9873)  all_6_2 = e3
% 189.51/29.34  | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | REDUCE: (340), (9873) imply:
% 189.51/29.34  | | | | | | | | | |   (9874)   ~ (all_52_2 = e3)
% 189.51/29.34  | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | REDUCE: (344), (9873) imply:
% 189.51/29.34  | | | | | | | | | |   (9875)   ~ (all_52_4 = e3)
% 189.51/29.34  | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | REDUCE: (346), (9873) imply:
% 189.51/29.34  | | | | | | | | | |   (9876)   ~ (all_52_8 = e3)
% 189.51/29.34  | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | REDUCE: (348), (9873) imply:
% 189.51/29.34  | | | | | | | | | |   (9877)   ~ (all_52_12 = e3)
% 189.51/29.34  | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | REDUCE: (39), (9873) imply:
% 189.51/29.34  | | | | | | | | | |   (9878)  op(e3, e3) = e3
% 189.51/29.34  | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | BETA: splitting (73) gives:
% 189.51/29.34  | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | |   (9879)   ~ (all_28_2 = e2)
% 189.51/29.34  | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | REDUCE: (330), (9879) imply:
% 189.51/29.34  | | | | | | | | | | |   (9880)   ~ (all_14_2 = e2)
% 189.51/29.34  | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | BETA: splitting (189) gives:
% 189.51/29.34  | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | |   (9881)  all_54_15 = e3
% 189.51/29.34  | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | COMBINE_EQS: (246), (9881) imply:
% 189.51/29.34  | | | | | | | | | | | |   (9882)  all_14_2 = e3
% 189.51/29.34  | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | REDUCE: (9867), (9882) imply:
% 189.51/29.34  | | | | | | | | | | | |   (9883)  $false
% 189.51/29.34  | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | CLOSE: (9883) is inconsistent.
% 189.51/29.34  | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | |   (9884)   ~ (all_54_15 = e3)
% 189.51/29.34  | | | | | | | | | | | |   (9885)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 189.51/29.34  | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | BETA: splitting (9885) gives:
% 189.51/29.34  | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | |   (9886)  all_54_15 = e2
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | COMBINE_EQS: (246), (9886) imply:
% 189.51/29.34  | | | | | | | | | | | | |   (9887)  all_14_2 = e2
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | REDUCE: (9880), (9887) imply:
% 189.51/29.34  | | | | | | | | | | | | |   (9888)  $false
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | CLOSE: (9888) is inconsistent.
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | |   (9889)   ~ (all_54_15 = e2)
% 189.51/29.34  | | | | | | | | | | | | |   (9890)  all_54_15 = e1 | all_54_15 = e0
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | BETA: splitting (9890) gives:
% 189.51/29.34  | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | |   (9891)  all_54_15 = e1
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | COMBINE_EQS: (246), (9891) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9892)  all_14_2 = e1
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | REDUCE: (9865), (9892) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9893)  $false
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | CLOSE: (9893) is inconsistent.
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | |   (9894)  all_54_15 = e0
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | COMBINE_EQS: (246), (9894) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9895)  all_14_2 = e0
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | REDUCE: (351), (9895) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9896)   ~ (all_52_3 = e0)
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | REDUCE: (362), (9895) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9897)   ~ (all_52_7 = e0)
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | REDUCE: (369), (9895) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9898)   ~ (all_52_11 = e0)
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | REDUCE: (370), (9895) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9899)   ~ (all_52_12 = e0)
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | REDUCE: (372), (9895) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9900)   ~ (all_52_14 = e0)
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | REDUCE: (9867), (9895) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9901)   ~ (e3 = e0)
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | REDUCE: (9880), (9895) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9902)   ~ (e2 = e0)
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | REDUCE: (9865), (9895) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9903)   ~ (e1 = e0)
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | REDUCE: (51), (9895) imply:
% 189.51/29.34  | | | | | | | | | | | | | |   (9904)  op(e0, e0) = e0
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.51/29.34  | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | |   (9905)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.34  | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.34  | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.51/29.34  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.34  | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.34  | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.34  | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.34  | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.34  | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 189.51/29.34  | | | | | | | | | | | | | | |             (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.51/29.34  | | | | | | | | | | | | | | |               e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.51/29.34  | | | | | | | | | | | | | | |           (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.51/29.34  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.51/29.34  | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.51/29.34  | | | | | | | | | | | | | | |             &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.51/29.34  | | | | | | | | | | | | | | |               e2) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.34  | | | | | | | | | | | | | | |             $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 189.51/29.34  | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.51/29.34  | | | | | | | | | | | | | | |             = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.51/29.34  | | | | | | | | | | | | | | |             = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.51/29.34  | | | | | | | | | | | | | | |             = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.51/29.34  | | | | | | | | | | | | | | |             (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | BETA: splitting (9905) gives:
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | |   (9906)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.34  | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.34  | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.51/29.34  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.34  | | | | | | | | | | | | | | | |           | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.34  | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.34  | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.34  | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 189.51/29.34  | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | BETA: splitting (9906) gives:
% 189.51/29.34  | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | |   (9907)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.34  | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.34  | | | | | | | | | | | | | | | | |             op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.34  | | | | | | | | | | | | | | | | |           | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.51/29.34  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.34  | | | | | | | | | | | | | | | | |             op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.34  | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | BETA: splitting (9907) gives:
% 189.51/29.34  | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | |   (9908)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | ALPHA: (9908) implies:
% 189.51/29.34  | | | | | | | | | | | | | | | | | |   (9909)  op(e1, e1) = e3
% 189.51/29.34  | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (9909), (function-axioms) are
% 189.51/29.34  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.51/29.34  | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | |   (9910)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.51/29.34  | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.34  | | | | | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 189.51/29.34  | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | ALPHA: (9910) implies:
% 189.51/29.34  | | | | | | | | | | | | | | | | | |   (9911)  op(e0, e0) = e3
% 189.51/29.34  | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9904), (9911), (function-axioms) are
% 189.51/29.34  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 189.51/29.34  | | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | |   (9912)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.34  | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | | | |             all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.34  | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.34  | | | | | | | | | | | | | | | | |             &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.51/29.34  | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.34  | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.34  | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_14))
% 189.51/29.34  | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (9904), (9912),
% 189.51/29.34  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.34  | | | | | | | | | | | | | | | | |            #546.
% 189.51/29.34  | | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | |   (9913)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.51/29.34  | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.51/29.34  | | | | | | | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.51/29.34  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.51/29.34  | | | | | | | | | | | | | | | |             &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.51/29.34  | | | | | | | | | | | | | | | |             (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.34  | | | | | | | | | | | | | | | |             = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.51/29.34  | | | | | | | | | | | | | | | |             all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.51/29.34  | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.51/29.34  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.51/29.34  | | | | | | | | | | | | | | | |           | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.51/29.34  | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.51/29.34  | | | | | | | | | | | | | | | |             $i(all_57_10))
% 189.51/29.34  | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (36), (170), (9869), (9875), (9878),
% 189.51/29.34  | | | | | | | | | | | | | | | |            (9904), (9913), (function-axioms) are inconsistent
% 189.51/29.34  | | | | | | | | | | | | | | | |            by sub-proof #1313.
% 189.51/29.34  | | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | End of split
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | Case 2:
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | |   (9914)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.51/29.34  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.34  | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.51/29.34  | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.51/29.34  | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.51/29.34  | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.51/29.34  | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.51/29.34  | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.51/29.34  | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.51/29.34  | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.51/29.34  | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.34  | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.51/29.34  | | | | | | | | | | | | | | |             & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 189.51/29.34  | | | | | | | | | | | | | | |             (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.51/29.34  | | | | | | | | | | | | | | |             = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.51/29.34  | | | | | | | | | | | | | | |             = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.51/29.34  | | | | | | | | | | | | | | |           (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 189.51/29.34  | | | | | | | | | | | | | | |               e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.51/29.34  | | | | | | | | | | | | | | |           | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 189.51/29.34  | | | | | | | | | | | | | | |               = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.34  | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.51/29.34  | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.51/29.34  | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.51/29.34  | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.51/29.34  | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.51/29.34  | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.51/29.34  | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.34  | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.34  | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.51/29.34  | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.34  | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.34  | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.51/29.34  | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.34  | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.34  | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.51/29.34  | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.34  | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.34  | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.51/29.34  | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.34  | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.34  | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.34  | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.51/29.34  | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.34  | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | BETA: splitting (9914) gives:
% 189.51/29.34  | | | | | | | | | | | | | | | 
% 189.51/29.34  | | | | | | | | | | | | | | | Case 1:
% 189.51/29.34  | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | |   (9915)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.51/29.35  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.35  | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.51/29.35  | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.51/29.35  | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.51/29.35  | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | |             all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.51/29.35  | | | | | | | | | | | | | | | |             (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.51/29.35  | | | | | | | | | | | | | | | |             op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.51/29.35  | | | | | | | | | | | | | | | |           (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.51/29.35  | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.51/29.35  | | | | | | | | | | | | | | | |             $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.51/29.35  | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.51/29.35  | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.51/29.35  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.35  | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_13))
% 189.51/29.35  | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | BETA: splitting (9915) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | |   (9916)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.51/29.35  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |             all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.51/29.35  | | | | | | | | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.51/29.35  | | | | | | | | | | | | | | | | |               e2) = all_57_12 & op(e2, e1) = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             $i(all_57_6) & $i(all_57_12))
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9878), (9904), (9916),
% 189.51/29.35  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.35  | | | | | | | | | | | | | | | | |            #1312.
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | |   (9917)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.51/29.35  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |             all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | |             &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.51/29.35  | | | | | | | | | | | | | | | | |             & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 189.51/29.35  | | | | | | | | | | | | | | | | |             (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |             all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (9877), (9904), (9917),
% 189.51/29.35  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.35  | | | | | | | | | | | | | | | | |            #1828.
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | End of split
% 189.51/29.35  | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35  | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | |   (9918)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.51/29.35  | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.51/29.35  | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.51/29.35  | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.51/29.35  | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.51/29.35  | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 189.51/29.35  | | | | | | | | | | | | | | | |             $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.51/29.35  | | | | | | | | | | | | | | | |             e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 189.51/29.35  | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.35  | | | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.51/29.35  | | | | | | | | | | | | | | | |             & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 189.51/29.35  | | | | | | | | | | | | | | | |             (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.51/29.35  | | | | | | | | | | | | | | | |             = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | |               e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.51/29.35  | | | | | | | | | | | | | | | |           (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35  | | | | | | | | | | | | | | | |             ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 189.51/29.35  | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | |                 all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | |                 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.51/29.35  | | | | | | | | | | | | | | | |                 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.51/29.35  | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.35  | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.51/29.35  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.35  | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.51/29.35  | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.35  | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.51/29.35  | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.35  | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.51/29.35  | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.35  | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | BETA: splitting (9918) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | |   (9919)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.51/29.35  | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.51/29.35  | | | | | | | | | | | | | | | | |           | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.51/29.35  | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | |             & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.51/29.35  | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_9) &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             $i(all_57_14))
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9878), (9919), (function-axioms) are
% 189.51/29.35  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | |   (9920)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.51/29.35  | | | | | | | | | | | | | | | | |               e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |             all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.51/29.35  | | | | | | | | | | | | | | | | |             e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |             $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |             all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.51/29.35  | | | | | | | | | | | | | | | | |                   e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.35  | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.51/29.35  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.51/29.35  | | | | | | | | | | | | | | | | |                   e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.35  | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.51/29.35  | | | | | | | | | | | | | | | | |                   = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.51/29.35  | | | | | | | | | | | | | | | | |                   e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | |                 all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | BETA: splitting (9920) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | |   (9921)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.51/29.35  | | | | | | | | | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | |           $i(all_57_13)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | ALPHA: (9921) implies:
% 189.51/29.35  | | | | | | | | | | | | | | | | | |   (9922)  op(e1, e1) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | |   (9923)  op(e2, e0) = e2
% 189.51/29.35  | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (164), (168), (170), (189), (199),
% 189.51/29.35  | | | | | | | | | | | | | | | | | |            (218), (219), (220), (230), (246), (268), (352),
% 189.51/29.35  | | | | | | | | | | | | | | | | | |            (360), (370), (373), (9865), (9867), (9869),
% 189.51/29.35  | | | | | | | | | | | | | | | | | |            (9878), (9880), (9922), (9923), (function-axioms)
% 189.51/29.35  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1637.
% 189.51/29.35  | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | |   (9924)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.51/29.35  | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.51/29.35  | | | | | | | | | | | | | | | | | |             & op(e1, e0) = e1 & $i(all_57_11) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | |             $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | |             $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                   e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | |               (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                   = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                   e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | |               (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                   = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | |                 & $i(all_57_7))))
% 189.51/29.35  | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | BETA: splitting (9924) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9925)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | ALPHA: (9925) implies:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9926)   ~ (all_57_14 = e0)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9927)   ~ (all_57_11 = e2)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9928)  op(e1, e0) = e1
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9929)  op(e1, e1) = all_57_14
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9930)  op(e2, e0) = all_57_11
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9931)  op(e2, e2) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (9928) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9932)  all_52_14 = e1
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |              all_57_14, e1, e1, simplifying with (9862), (9929)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |              gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9933)  all_57_14 = e2
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |              all_57_11, e0, e2, simplifying with (164), (9930)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |              gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9934)  all_57_11 = all_52_13
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (36), (9931) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9935)  all_4_2 = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (9935) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9936)  all_36_2 = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | REDUCE: (9927), (9934) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9937)   ~ (all_52_13 = e2)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | REDUCE: (141), (9932) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9938)   ~ (all_52_2 = e1)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | REDUCE: (352), (9935) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9939)   ~ (all_52_4 = e0)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | REDUCE: (126), (9932) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9940)   ~ (all_52_6 = e1)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | REDUCE: (354), (9935) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9941)   ~ (all_52_6 = e0)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | REDUCE: (358), (9935) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9942)   ~ (all_52_9 = e0)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9932) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9943)   ~ (all_52_12 = e1)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9932) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9944)   ~ (all_52_13 = e1)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | REDUCE: (360), (9935) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9945)   ~ (all_52_13 = e0)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | REDUCE: (9861), (9932) imply:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | |   (9946)   ~ (e2 = e1)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | |   (9947)  all_54_8 = e3
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (9874), (9947) are inconsistent by
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | |   (9948)   ~ (all_54_8 = e3)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | |   (9949)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | |   (9950)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9950) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | |   (9951)  all_56_6 = e0 & op(e1, e3) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9951) implies:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | |   (9952)  all_56_6 = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |   (9953)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (159), (162), (163), (170),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |            (373), (9875), (9878), (9896), (9931), (9938),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |            (9940), (9953), (function-axioms) are inconsistent
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1259.
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |   (9954)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9954) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |   (9955)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9955) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (9956)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9937), (9945), (9956), (function-axioms)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1172.
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (9957)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9957) gives:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9958)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_11 & $i(all_57_11)))
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9958) implies:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9959)  op(e1, e1) = e0
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (136), (157), (158), (160), (162), (164),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (199), (204), (206),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (209), (210), (211), (212), (213),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (217), (218), (219), (220),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (222), (223), (224), (225), (226), (227),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (246), (268), (279), (330), (344),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (346), (348), (352), (354), (360), (370), (371),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (374), (9864), (9865), (9867), (9869),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (9871), (9898), (9900), (9941), (9959),
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9960)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_7 & $i(all_57_7)))
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9960) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9961)  op(e1, e0) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (9856), (9938), (9949),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            (9961), (function-axioms) are inconsistent by
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1256.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |   (9962)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9962) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (9963)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                   e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                 & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | |                   e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9963) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9964)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_2 & $i(all_57_2)))
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9964) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9965)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9966)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9967)  all_54_3 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9877), (9967) are inconsistent by
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9968)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9968) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9969)  all_54_3 = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9969) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9970)  all_52_12 = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9970) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9971)  all_52_12 = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9971) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9972)   ~ (all_52_4 = e2)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9971) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9973)   ~ (all_52_13 = e2)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9974)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9974) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9975)  all_56_9 = e2 & op(e3, e0) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9975) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9976)  all_56_9 = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9977)  all_54_7 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9977) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9978)  all_52_13 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9978) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9979)  all_52_13 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9979) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9980)   ~ (all_52_9 = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (9979) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9981)  op(e2, e0) = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9982)   ~ (all_36_2 = e0)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9936), (9982) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9983)  $false
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9983) is inconsistent.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9984)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_36_1 & $i(all_36_1))
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9985)  all_54_6 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9985) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9986)  all_52_9 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9980), (9986) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9987)  $false
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9987) is inconsistent.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9988)   ~ (all_54_6 = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9989)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9990)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9990) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9991)  all_56_6 = e3 & op(e1, e3) = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9991) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9992)  op(e1, e3) = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9874), (9992), (function-axioms) are
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9993)  all_56_7 = e3 & op(e1, e2) = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9993) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9994)  all_56_7 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9995)  op(e1, e2) = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9996)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (9876), (9980), (9996),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1757.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9997)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9997) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9998)  all_56_8 = e3 & op(e1, e1) = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9998) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9999)  op(e1, e1) = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (9999), (function-axioms) are
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10000)  all_56_14 = e3 & op(e0, e1) = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10000) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10001)  all_56_14 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9984) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10002)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_36_1 & $i(all_36_0) &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_36_1)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10002) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10003)  op(e2, e0) = all_36_1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10004)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (9931), (9972), (10004),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #824.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10005)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10005) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10006)  all_56_7 = e2 & op(e1, e2) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10006) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10007)  op(e1, e2) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9995), (10007), (function-axioms) are
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #823.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10008)  all_56_13 = e2 & op(e0, e2) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10008) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10009)  all_56_13 = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10010)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10010) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10011)  all_56_0 = e0 & op(e3, e3) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10011) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10012)  op(e3, e3) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9878), (10012), (function-axioms) are
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10013)  all_56_1 = e0 & op(e3, e2) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10013) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10014)  all_56_1 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10015)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10015) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10016)  all_56_4 = e0 & op(e3, e1) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10016) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10017)  all_56_4 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10018)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10018) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10019)  all_56_4 = e1 & op(e3, e1) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10019) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10020)  all_56_4 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10017), (10020) are inconsistent by
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1827.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10021)  all_56_5 = e1 & op(e2, e1) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10021) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10022)  all_56_5 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10023)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10023) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10024)  all_56_1 = e1 & op(e3, e2) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10024) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10025)  all_56_1 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10014), (10025) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10026)  e1 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10022), (10026) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10027)  all_56_5 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (164), (222), (223), (9931),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9944), (9981), (10003), (10027),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10028)  all_56_3 = e1 & op(e2, e2) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10028) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10029)  op(e2, e2) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9931), (10029), (function-axioms) are
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10030)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10030) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10031)  all_56_7 = e1 & op(e1, e2) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10031) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10032)  all_56_7 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (9931), (10014), (10032), (function-axioms)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1903.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10033)  all_56_13 = e1 & op(e0, e2) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10009), (10033) are inconsistent by
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1205.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10034)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (118), (157), (165), (169), (219),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (261), (9858), (9859), (9942), (9989), (10001),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10034), (function-axioms) are inconsistent by
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #544.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10035)  all_56_5 = e0 & op(e2, e1) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10035) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10036)  all_56_5 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (164), (222), (223), (9931),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9944), (9981), (10003), (10036),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10037)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10037) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10038)  all_56_8 = e0 & op(e1, e1) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10038) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10039)  op(e1, e1) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (9938), (9952), (9994), (10039),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1009.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10040)  all_56_14 = e0 & op(e0, e1) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10040) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10041)  op(e0, e1) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9898), (10041), (function-axioms) are
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10042)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10042) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10043)  all_56_4 = e0 & op(e3, e1) = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10043) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10044)  all_56_4 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9966) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10045)  all_57_12 = e3 & op(e2, e2) = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10045) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10046)  op(e2, e2) = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10046), (function-axioms) are
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10047)   ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10047) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10048)  op(e2, e3) = all_57_0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10049)  all_54_9 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (10049) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10050)  all_52_6 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10050) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10051)  all_52_6 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10051) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10052)   ~ (all_52_7 = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10052) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10053)   ~ (all_52_7 = e3)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10054)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10054) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10055)  all_56_4 = e1 & op(e3, e1) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10044), (10055) are inconsistent by
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #718.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10056)  all_56_5 = e1 & op(e2, e1) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10056) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10057)  op(e2, e1) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10058)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10058) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10059)  all_56_1 = e1 & op(e3, e2) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10059) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10060)  all_56_1 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10061)  all_54_1 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10061) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10062)  all_52_4 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9875), (10062) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10063)  $false
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10063) is inconsistent.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10064)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10065)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10065) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10066)  all_56_2 = e2 & op(e2, e3) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10066) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10067)  op(e2, e3) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10064) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10068)  all_54_1 = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10068) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10069)  all_52_4 = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9972), (10069) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10070)  $false
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10070) is inconsistent.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10071)  all_54_1 = e1 | all_54_1 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10071) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10072)  all_54_1 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10072) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10073)  all_52_4 = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (10073) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10074)   ~ (all_52_7 = e1)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10074) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10075)   ~ (all_52_7 = e1)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10076)  all_54_13 = e3
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10053), (10076) are inconsistent by
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10077)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10077) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_0,
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (10048), (10067) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10078)  all_57_0 = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9966), (10078), (function-axioms)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1664.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10079)  all_54_13 = e1 | all_54_13 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (9897), (10075), (10079) are inconsistent
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1652.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10080)  all_54_1 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10080) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10081)  all_52_4 = e0
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9939), (10081) imply:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10082)  $false
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10082) is inconsistent.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10083)  all_56_3 = e2 & op(e2, e2) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (9994), (10009), (10060),
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10083), (function-axioms) are inconsistent by
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #822.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10084)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10084) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10085)  all_56_5 = e2 & op(e2, e1) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10085) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10086)  op(e2, e1) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10057), (10086), (function-axioms) are
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10087)  all_56_10 = e2 & op(e2, e0) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10087) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10088)  op(e2, e0) = e2
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9981), (10003), (10088), (function-axioms)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1709.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10089)  all_56_3 = e1 & op(e2, e2) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10089) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10090)  op(e2, e2) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9931), (10090), (function-axioms) are
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10091)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10091) gives:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10092)  all_56_7 = e1 & op(e1, e2) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10092) implies:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10093)  op(e1, e2) = e1
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9940), (10093), (function-axioms) are
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10094)  all_56_13 = e1 & op(e0, e2) = e1
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10094) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10095)  all_56_13 = e1
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10009), (10095) are inconsistent by
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1916.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10096)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (118), (157), (165), (169), (219),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (261), (9858), (9859), (9942), (9989), (10001),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10096), (function-axioms) are inconsistent by
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #544.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10097)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9857), (9940), (9941), (10097) are
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #951.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10098)  all_56_9 = e0 & op(e3, e0) = e0
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10098) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10099)  op(e3, e0) = e0
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9899), (10099), (function-axioms) are
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10100)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_36_1)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9981), (10100), (function-axioms) are
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1708.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10101)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10101) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10102)  all_56_8 = e3 & op(e1, e1) = e3
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10102) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10103)  op(e1, e1) = e3
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (10103), (function-axioms) are
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10104)  all_56_11 = e3 & op(e1, e0) = e3
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10104) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10105)  all_56_11 = e3
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (163),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (168), (169), (170), (195), (210), (213),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (219), (220), (224), (227), (228),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (232), (233), (234), (258),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (9857), (9858), (9859), (9862), (9876),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9878), (9904), (9931), (9938), (9940), (9941),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9943), (9965), (9972), (9976), (9980), (10105),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #540.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10106)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9937), (9944), (9945), (10106) are
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1375.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10107)  all_56_10 = e2 & op(e2, e0) = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10107) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10108)  op(e2, e0) = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9937), (10108), (function-axioms) are
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10109)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (9861), (9904), (10109),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #539.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10110)  all_54_3 = e1 | all_54_3 = e0
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (9899), (9928), (10110),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10111)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10111) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10112)  op(e2, e2) = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9931), (10112), (function-axioms) are
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (10113)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (136), (157), (158), (160), (162), (164),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (199), (204), (206),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (209), (210), (211), (212), (213),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (217), (218), (219), (220),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (222), (223), (224), (225), (226), (227),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (246), (268), (279), (330), (344),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (346), (348), (352), (354), (360), (370), (371),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (374), (9862), (9864), (9865), (9867),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (9869), (9871), (9898), (9900), (9928), (9941),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (10113), (function-axioms) are inconsistent by
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #538.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | |   (10114)  all_56_7 = e0 & op(e1, e2) = e0
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10114) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | |   (10115)  all_56_7 = e0
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |   (10116)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (159), (162), (163), (170),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (373), (9875), (9878), (9896), (9931), (9938),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (9940), (10116), (function-axioms) are
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1259.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |   (10117)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10117) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |   (10118)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10118) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (10119)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9937), (9945), (10119), (function-axioms)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1172.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (10120)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10120) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10121)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10121) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10122)  op(e1, e1) = e0
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (9856), (10115), (10122), (function-axioms)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #750.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10123)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10123) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10124)  op(e1, e0) = e0
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (9856), (9938), (9949),
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            (10124), (function-axioms) are inconsistent by
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1256.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |   (10125)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10125) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (10126)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10126) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10127)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10127) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10128)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10129)  all_54_3 = e3
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9877), (10129) are inconsistent by
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10130)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10130) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10131)  all_54_3 = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10131) imply:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10132)  all_52_12 = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10132) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10133)  all_52_12 = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10133) imply:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10134)   ~ (all_52_4 = e2)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10133) imply:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10135)   ~ (all_52_13 = e2)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10136)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10136) gives:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10137)  all_56_9 = e2 & op(e3, e0) = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10137) implies:
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10138)  all_56_9 = e2
% 189.51/29.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10139)  all_54_7 = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10139) imply:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10140)  all_52_13 = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10140) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10141)  all_52_13 = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10141) imply:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10142)   ~ (all_52_9 = e3)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10143)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10143) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10144)  all_56_6 = e3 & op(e1, e3) = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10144) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10145)  op(e1, e3) = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9874), (10145), (function-axioms) are
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10146)  all_56_7 = e3 & op(e1, e2) = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10115), (10146) are inconsistent by
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1094.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10147)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10147) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10148)  all_56_8 = e3 & op(e1, e1) = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10148) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10149)  op(e1, e1) = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (10149), (function-axioms) are
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10150)  all_56_11 = e3 & op(e1, e0) = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10150) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10151)  all_56_11 = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (163),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (168), (169), (170), (195), (210), (213),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (219), (220), (224), (227), (228),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (232), (233), (234), (258),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (9857), (9858), (9859), (9862), (9876),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9878), (9904), (9931), (9938), (9940), (9941),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9943), (10128), (10134), (10138), (10142),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10151), (function-axioms) are inconsistent by
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #540.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10152)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9937), (9944), (9945), (10152) are
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1375.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10153)  all_56_10 = e2 & op(e2, e0) = e2
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10153) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10154)  op(e2, e0) = e2
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9937), (10154), (function-axioms) are
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10155)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (9861), (9904), (10155),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #539.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10156)  all_54_3 = e1 | all_54_3 = e0
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (9899), (9928), (10156),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10157)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10157) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10158)  op(e2, e2) = e2
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9931), (10158), (function-axioms) are
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |   (10159)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (136), (157), (158), (160), (162), (164),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (199), (204), (206),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (209), (210), (211), (212), (213),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (217), (218), (219), (220),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (222), (223), (224), (225), (226), (227),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (246), (268), (279), (330), (344),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (346), (348), (352), (354), (360), (370), (371),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (374), (9862), (9864), (9865), (9867),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (9869), (9871), (9898), (9900), (9928), (9941),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (10159), (function-axioms) are inconsistent by
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #538.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | |   (10160)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10160) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |   (10161)  all_56_8 = e0 & op(e1, e1) = e0
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10161) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |   (10162)  op(e1, e1) = e0
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (39), (51), (73), (126),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (128), (136), (157), (158), (160), (162), (164),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (199), (204), (206),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (209), (210), (211), (212), (213),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (217), (218), (219), (220),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (221), (222), (223), (224), (225), (226), (227),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (246), (268), (279), (330), (344),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (346), (348), (352), (354), (360), (370), (371),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (373), (374), (9864), (9865), (9867), (9869),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (9871), (9898), (9900), (9941), (10162),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |   (10163)  all_56_11 = e0 & op(e1, e0) = e0
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10163) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |   (10164)  op(e1, e0) = e0
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (9856), (9938), (9949),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            (10164), (function-axioms) are inconsistent by
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1256.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |   (10165)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | ALPHA: (10165) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |   (10166)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (158), (159), (373), (9869), (9878),
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |            (9896), (9897), (10166), (function-axioms) are
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #537.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | |   (10167)  all_28_2 = e2
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | COMBINE_EQS: (330), (10167) imply:
% 189.51/29.38  | | | | | | | | | | |   (10168)  all_14_2 = e2
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | SIMP: (10168) implies:
% 189.51/29.38  | | | | | | | | | | |   (10169)  all_14_2 = e2
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | REDUCE: (351), (10169) imply:
% 189.51/29.38  | | | | | | | | | | |   (10170)   ~ (all_52_3 = e2)
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | REDUCE: (370), (10169) imply:
% 189.51/29.38  | | | | | | | | | | |   (10171)   ~ (all_52_12 = e2)
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | REDUCE: (371), (10169) imply:
% 189.51/29.38  | | | | | | | | | | |   (10172)   ~ (all_52_13 = e2)
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | REDUCE: (9867), (10169) imply:
% 189.51/29.38  | | | | | | | | | | |   (10173)   ~ (e3 = e2)
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | REDUCE: (51), (10169) imply:
% 189.51/29.38  | | | | | | | | | | |   (10174)  op(e0, e0) = e2
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | BETA: splitting (234) gives:
% 189.51/29.38  | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | |   (10175)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 189.51/29.38  | | | | | | | | | | | |              & op(e3, e2) = e2)
% 189.51/29.38  | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | BETA: splitting (10175) gives:
% 189.51/29.38  | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | |   (10176)  all_56_0 = e2 & op(e3, e3) = e2
% 189.51/29.38  | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | ALPHA: (10176) implies:
% 189.51/29.38  | | | | | | | | | | | | |   (10177)  op(e3, e3) = e2
% 189.51/29.38  | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | REF_CLOSE: (9), (9878), (10177), (function-axioms) are
% 189.51/29.38  | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 189.51/29.38  | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | |   (10178)  all_56_1 = e2 & op(e3, e2) = e2
% 189.51/29.38  | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | ALPHA: (10178) implies:
% 189.51/29.38  | | | | | | | | | | | | |   (10179)  op(e3, e2) = e2
% 189.51/29.38  | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | BETA: splitting (233) gives:
% 189.51/29.38  | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | |   (10180)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 189.51/29.38  | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 189.51/29.38  | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | BETA: splitting (10180) gives:
% 189.51/29.38  | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | |   (10181)  all_56_0 = e2 & op(e3, e3) = e2
% 189.51/29.38  | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | ALPHA: (10181) implies:
% 189.51/29.38  | | | | | | | | | | | | | | |   (10182)  op(e3, e3) = e2
% 189.51/29.38  | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | REF_CLOSE: (9), (9878), (10182), (function-axioms) are
% 189.51/29.38  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 189.51/29.38  | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | |   (10183)  all_56_2 = e2 & op(e2, e3) = e2
% 189.51/29.38  | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | ALPHA: (10183) implies:
% 189.51/29.38  | | | | | | | | | | | | | | |   (10184)  op(e2, e3) = e2
% 189.51/29.38  | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | |   (10185)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.38  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.38  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.51/29.38  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.38  | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.38  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.38  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.38  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.38  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.51/29.38  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 189.51/29.38  | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.51/29.38  | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.51/29.38  | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.51/29.38  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.38  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.51/29.38  | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.51/29.38  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.51/29.38  | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 189.51/29.38  | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.51/29.38  | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 189.51/29.38  | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.51/29.38  | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.51/29.38  | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.51/29.38  | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.51/29.38  | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.51/29.38  | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.38  | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.51/29.38  | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | BETA: splitting (10185) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | |   (10186)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.38  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.38  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.51/29.38  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.38  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.38  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.38  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 189.51/29.38  | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | BETA: splitting (10186) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | |   (10187)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.38  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (10174), (10187), (function-axioms)
% 189.51/29.38  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #536.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | |   (10188)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10174), (10188),
% 189.51/29.38  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.38  | | | | | | | | | | | | | | | | | |            #1591.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | End of split
% 189.51/29.38  | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | |   (10189)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.51/29.38  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.38  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.51/29.38  | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.51/29.38  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.51/29.38  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.38  | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.51/29.38  | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.51/29.38  | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.51/29.38  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.51/29.38  | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.51/29.38  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.38  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.51/29.38  | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 189.51/29.38  | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | BETA: splitting (10189) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | |   (10190)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10179), (10190), (function-axioms) are
% 189.51/29.38  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1141.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | |   (10191)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.51/29.38  | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.38  | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | BETA: splitting (10191) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |   (10192)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | ALPHA: (10192) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |   (10193)  op(e3, e3) = e2
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9878), (10193), (function-axioms) are
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |   (10194)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | BETA: splitting (10194) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | |   (10195)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | ALPHA: (10195) implies:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | |   (10196)   ~ (all_57_14 = e2)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | |   (10197)   ~ (all_57_5 = e0)
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | |   (10198)  op(e0, e2) = all_57_5
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | |   (10199)  op(e1, e2) = e1
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.38  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |   (10200)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10200) gives:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |   (10201)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10201) gives:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |   (10202)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10179), (10202),
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            #535.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |   (10203)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10203) gives:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10204)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10204) implies:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10205)  op(e3, e3) = e1
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9878), (10205), (function-axioms) are
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10206)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10206) implies:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10207)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10184), (10207), (function-axioms)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #534.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |   (10208)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10208) gives:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |   (10209)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (9878), (10184), (10209),
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            #533.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |   (10210)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10210) gives:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10211)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10211) implies:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10212)  op(e2, e2) = e1
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (9869), (10212), (function-axioms) are
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10213)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10213) implies:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10214)  all_57_14 = e2
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10196), (10214) imply:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10215)  $false
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10215) is inconsistent.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |   (10216)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10216) gives:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |   (10217)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10217) gives:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |   (10218)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10172), (10197), (10198), (10218),
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            #1515.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |   (10219)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10219) gives:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10220)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10220) implies:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10221)  op(e1, e1) = e0
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (10221), (function-axioms) are
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10222)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10222) implies:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10223)  op(e0, e0) = e1
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10174), (10223), (function-axioms) are
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |   (10224)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10224) gives:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |   (10225)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10225) gives:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10226)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10226) implies:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10227)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10184), (10227), (function-axioms)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #534.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10228)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10228) implies:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |   (10229)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10196), (10199), (10229), (function-axioms) are
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #532.
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |   (10230)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.39  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (10174), (10230),
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |            #531.
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |   (10231)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | ALPHA: (10231) implies:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |   (10232)  op(e2, e2) = e1
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (9869), (10232), (function-axioms) are
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40  | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | End of split
% 189.51/29.40  | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | End of split
% 189.51/29.40  | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40  | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | |   (10233)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.51/29.40  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.40  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.51/29.40  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.51/29.40  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.51/29.40  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.51/29.40  | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.51/29.40  | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.51/29.40  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.51/29.40  | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.51/29.40  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.51/29.40  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.51/29.40  | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 189.51/29.40  | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.51/29.40  | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.51/29.40  | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.51/29.40  | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 189.51/29.40  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.51/29.40  | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 189.51/29.40  | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.40  | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.51/29.40  | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.51/29.40  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.51/29.40  | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.51/29.40  | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.51/29.40  | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.51/29.40  | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.40  | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.40  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.51/29.40  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.40  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.40  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.51/29.40  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.40  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.40  | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | BETA: splitting (10233) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | |   (10234)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.51/29.40  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.51/29.40  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.51/29.40  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.51/29.40  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 189.51/29.40  | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (9877), (9878), (10174), (10234),
% 189.51/29.40  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.40  | | | | | | | | | | | | | | | | |            #1585.
% 189.51/29.40  | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40  | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | |   (10235)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.51/29.40  | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.51/29.40  | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.51/29.40  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.51/29.40  | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 189.51/29.40  | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.51/29.40  | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.51/29.40  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.51/29.40  | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.40  | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 189.51/29.40  | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.40  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.51/29.40  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.40  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.51/29.40  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.40  | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | BETA: splitting (10235) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | |   (10236)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.51/29.40  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 189.51/29.40  | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9878), (10236), (function-axioms) are
% 189.51/29.40  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 189.51/29.40  | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | |   (10237)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.51/29.40  | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | BETA: splitting (10237) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |   (10238)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | ALPHA: (10238) implies:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |   (10239)  op(e2, e0) = e2
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10172), (10239), (function-axioms) are
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |   (10240)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (10240) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |   (10241)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | ALPHA: (10241) implies:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |   (10242)   ~ (all_57_14 = e0)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |   (10243)  op(e1, e0) = e1
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |   (10244)  op(e1, e1) = all_57_14
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |   (10245)  op(e2, e0) = all_57_11
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | |   (10246)  op(e2, e2) = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | |   (10247)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (10171), (10172), (10247),
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | |            #736.
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | |   (10248)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10248) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10249)  all_56_11 = e2 & op(e1, e0) = e2
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (9861), (10249), (function-axioms) are
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #760.
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10250)  all_56_15 = e2 & op(e0, e0) = e2
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (10243) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10251)  all_52_14 = e1
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |              all_57_14, e1, e1, simplifying with (9862),
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |              (10244) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10252)  all_57_14 = e2
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |              all_57_11, e0, e2, simplifying with (164), (10245)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10253)  all_57_11 = all_52_13
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (36), (10246) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10254)  all_4_2 = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (10184) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10255)  all_52_1 = e2
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (10179) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10256)  all_52_4 = e2
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10255) imply:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10257)   ~ (all_52_13 = e2)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (10251) imply:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10258)   ~ (all_52_2 = e1)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10256) imply:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10259)   ~ (all_52_12 = e2)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (10251) imply:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10260)   ~ (all_52_6 = e1)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10251) imply:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10261)   ~ (all_52_12 = e1)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (10254) imply:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10262)   ~ (all_52_13 = e0)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9861), (10251) imply:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10263)   ~ (e2 = e1)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (10254) imply:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10264)   ~ (e3 = e0)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9869), (10254) imply:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | |   (10265)   ~ (e1 = e0)
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |   (10266)  all_54_3 = e3
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9877), (10266) are inconsistent by
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | |   (10267)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10267) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | |   (10268)  all_54_3 = e2
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10171), (10268) are inconsistent by
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1689.
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | |   (10269)  all_54_3 = e1 | all_54_3 = e0
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (10270)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10270) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10271)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10271) gives:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10272)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10179), (10272),
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #535.
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10273)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (9878), (10258), (10273),
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1672.
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10274)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10274) gives:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10275)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (9878), (10184), (10275),
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #533.
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10276)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (10246), (10260), (10276),
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1731.
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (10277)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10277) gives:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10278)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10278) gives:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10279)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10172), (10262), (10279),
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1172.
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10280)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10280) gives:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10281)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10281) implies:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10282)  op(e1, e1) = e0
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10242), (10244), (10282), (function-axioms) are
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10283)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10283) implies:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10284)  op(e1, e0) = e0
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (10261), (10269), (10284),
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1687.
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10285)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10285) gives:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10286)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10286) gives:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10287)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10287) implies:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10288)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10184), (10288), (function-axioms)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #534.
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10289)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10289) implies:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10290)  op(e2, e2) = e2
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10246), (10290), (function-axioms) are
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10291)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (10174), (10291),
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #531.
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |   (10292)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | ALPHA: (10292) implies:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |   (10293)  op(e0, e0) = all_57_15
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |   (10294)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (10294) gives:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |   (10295)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (9862), (10174), (10293),
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |            (10295), (function-axioms) are inconsistent by
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |            sub-proof #529.
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |   (10296)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10296) gives:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |   (10297)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10297) implies:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |   (10298)   ~ (all_57_15 = e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10174), (10293), (10298), (function-axioms) are
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |   (10299)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (9869), (9878), (10299),
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |            #1954.
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | |   (10300)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 189.51/29.42  | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 189.51/29.42  | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | BETA: splitting (10300) gives:
% 189.51/29.42  | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | |   (10301)  all_56_6 = e2 & op(e1, e3) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (10301), (function-axioms) are
% 189.51/29.42  | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | |   (10302)  all_56_12 = e2 & op(e0, e3) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | REF_CLOSE: (159), (10170), (10302), (function-axioms) are
% 189.51/29.42  | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | |   (10303)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 189.51/29.42  | | | | | | | | | | | |              & op(e3, e0) = e2)
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | BETA: splitting (10303) gives:
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | |   (10304)  all_56_4 = e2 & op(e3, e1) = e2
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (10304), (function-axioms) are
% 189.51/29.42  | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | |   (10305)  all_56_9 = e2 & op(e3, e0) = e2
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REF_CLOSE: (168), (10171), (10305), (function-axioms) are
% 189.51/29.42  | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | |   (10306)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 189.51/29.42  | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | REF_CLOSE: (279), (374), (9864), (9871), (10306) are
% 189.51/29.42  | | | | | | | | | |            inconsistent by sub-proof #1952.
% 189.51/29.42  | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | |   (10307)  all_26_2 = e1
% 189.51/29.42  | | | | | | | | |   (10308)  ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 189.51/29.42  | | | | | | | | |              op(e3, e1) = all_26_1 & $i(all_26_0) &
% 189.51/29.42  | | | | | | | | |              $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3, e1)
% 189.51/29.42  | | | | | | | | |              = all_26_1 & $i(all_26_1))
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | COMBINE_EQS: (307), (10307) imply:
% 189.51/29.42  | | | | | | | | |   (10309)  all_6_2 = e1
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | COMBINE_EQS: (303), (10309) imply:
% 189.51/29.42  | | | | | | | | |   (10310)  all_42_2 = e1
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | REDUCE: (338), (10309) imply:
% 189.51/29.42  | | | | | | | | |   (10311)   ~ (all_52_1 = e1)
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | REDUCE: (340), (10309) imply:
% 189.51/29.42  | | | | | | | | |   (10312)   ~ (all_52_2 = e1)
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | REDUCE: (342), (10309) imply:
% 189.51/29.42  | | | | | | | | |   (10313)   ~ (all_52_3 = e1)
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | REDUCE: (344), (10309) imply:
% 189.51/29.42  | | | | | | | | |   (10314)   ~ (all_52_4 = e1)
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | REDUCE: (346), (10309) imply:
% 189.51/29.42  | | | | | | | | |   (10315)   ~ (all_52_8 = e1)
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | REDUCE: (348), (10309) imply:
% 189.51/29.42  | | | | | | | | |   (10316)   ~ (all_52_12 = e1)
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | REDUCE: (9864), (10309) imply:
% 189.51/29.42  | | | | | | | | |   (10317)   ~ (e2 = e1)
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | REDUCE: (39), (10309) imply:
% 189.51/29.42  | | | | | | | | |   (10318)  op(e3, e3) = e1
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | BETA: splitting (73) gives:
% 189.51/29.42  | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | |   (10319)   ~ (all_28_2 = e2)
% 189.51/29.42  | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | REDUCE: (330), (10319) imply:
% 189.51/29.42  | | | | | | | | | |   (10320)   ~ (all_14_2 = e2)
% 189.51/29.42  | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | BETA: splitting (189) gives:
% 189.51/29.42  | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | |   (10321)  all_54_15 = e3
% 189.51/29.42  | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | REF_CLOSE: (246), (9867), (10321) are inconsistent by
% 189.51/29.42  | | | | | | | | | | |            sub-proof #1675.
% 189.51/29.42  | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | |   (10322)   ~ (all_54_15 = e3)
% 189.51/29.42  | | | | | | | | | | |   (10323)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 189.51/29.42  | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | BETA: splitting (10323) gives:
% 189.51/29.42  | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | |   (10324)  all_54_15 = e2
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | REF_CLOSE: (246), (10320), (10324) are inconsistent by
% 189.51/29.42  | | | | | | | | | | | |            sub-proof #1648.
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | |   (10325)   ~ (all_54_15 = e2)
% 189.51/29.42  | | | | | | | | | | | |   (10326)  all_54_15 = e1 | all_54_15 = e0
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | BETA: splitting (10326) gives:
% 189.51/29.42  | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | |   (10327)  all_54_15 = e1
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REF_CLOSE: (246), (9865), (10327) are inconsistent by
% 189.51/29.42  | | | | | | | | | | | | |            sub-proof #1660.
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | |   (10328)  all_54_15 = e0
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | COMBINE_EQS: (246), (10328) imply:
% 189.51/29.42  | | | | | | | | | | | | |   (10329)  all_14_2 = e0
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | SIMP: (10329) implies:
% 189.51/29.42  | | | | | | | | | | | | |   (10330)  all_14_2 = e0
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REDUCE: (351), (10330) imply:
% 189.51/29.42  | | | | | | | | | | | | |   (10331)   ~ (all_52_3 = e0)
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REDUCE: (362), (10330) imply:
% 189.51/29.42  | | | | | | | | | | | | |   (10332)   ~ (all_52_7 = e0)
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REDUCE: (369), (10330) imply:
% 189.51/29.42  | | | | | | | | | | | | |   (10333)   ~ (all_52_11 = e0)
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REDUCE: (371), (10330) imply:
% 189.51/29.42  | | | | | | | | | | | | |   (10334)   ~ (all_52_13 = e0)
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REDUCE: (372), (10330) imply:
% 189.51/29.42  | | | | | | | | | | | | |   (10335)   ~ (all_52_14 = e0)
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REDUCE: (9867), (10330) imply:
% 189.51/29.42  | | | | | | | | | | | | |   (10336)   ~ (e3 = e0)
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REDUCE: (10320), (10330) imply:
% 189.51/29.42  | | | | | | | | | | | | |   (10337)   ~ (e2 = e0)
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REDUCE: (9865), (10330) imply:
% 189.51/29.42  | | | | | | | | | | | | |   (10338)   ~ (e1 = e0)
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | REDUCE: (51), (10330) imply:
% 189.51/29.42  | | | | | | | | | | | | |   (10339)  op(e0, e0) = e0
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | BETA: splitting (79) gives:
% 189.51/29.42  | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | |   (10340)   ~ (all_32_2 = e0)
% 189.51/29.42  | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | REDUCE: (314), (10340) imply:
% 189.51/29.42  | | | | | | | | | | | | | |   (10341)   ~ (all_4_2 = e0)
% 189.51/29.42  | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 189.51/29.42  | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | |   (10342)  all_54_5 = e3
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10342) imply:
% 189.51/29.42  | | | | | | | | | | | | | | |   (10343)  all_4_2 = e3
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | REDUCE: (373), (10343) imply:
% 189.51/29.42  | | | | | | | | | | | | | | |   (10344)  $false
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | CLOSE: (10344) is inconsistent.
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | |   (10345)   ~ (all_54_5 = e3)
% 189.51/29.42  | | | | | | | | | | | | | | |   (10346)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | BETA: splitting (10346) gives:
% 189.51/29.42  | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | |   (10347)  all_54_5 = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10347) imply:
% 189.51/29.42  | | | | | | | | | | | | | | | |   (10348)  all_4_2 = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | REDUCE: (349), (10348) imply:
% 189.51/29.42  | | | | | | | | | | | | | | | |   (10349)   ~ (all_52_1 = e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | REDUCE: (352), (10348) imply:
% 189.51/29.42  | | | | | | | | | | | | | | | |   (10350)   ~ (all_52_4 = e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | REDUCE: (360), (10348) imply:
% 189.51/29.42  | | | | | | | | | | | | | | | |   (10351)   ~ (all_52_13 = e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | REDUCE: (36), (10348) imply:
% 189.51/29.42  | | | | | | | | | | | | | | | |   (10352)  op(e2, e2) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 189.51/29.42  | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | |   (10353)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | BETA: splitting (10353) gives:
% 189.51/29.42  | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | |   (10354)  all_56_0 = e2 & op(e3, e3) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | ALPHA: (10354) implies:
% 189.51/29.42  | | | | | | | | | | | | | | | | | |   (10355)  op(e3, e3) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10318), (10355), (function-axioms) are
% 189.51/29.42  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | |   (10356)  all_56_1 = e2 & op(e3, e2) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | ALPHA: (10356) implies:
% 189.51/29.42  | | | | | | | | | | | | | | | | | |   (10357)  op(e3, e2) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10350), (10357), (function-axioms) are
% 189.51/29.42  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #825.
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | End of split
% 189.51/29.42  | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | |   (10358)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | BETA: splitting (10358) gives:
% 189.51/29.42  | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | |   (10359)  all_56_4 = e2 & op(e3, e1) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (10359), (function-axioms) are
% 189.51/29.42  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | |   (10360)  all_56_9 = e2 & op(e3, e0) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | ALPHA: (10360) implies:
% 189.51/29.42  | | | | | | | | | | | | | | | | | |   (10361)  all_56_9 = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | |   (10362)  op(e3, e0) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | |   (10363)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (10318), (10349), (10363),
% 189.51/29.42  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.51/29.42  | | | | | | | | | | | | | | | | | | |            #1469.
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | |   (10364)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | BETA: splitting (10364) gives:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |   (10365)  all_56_6 = e2 & op(e1, e3) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (10365), (function-axioms) are
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |   (10366)  all_56_12 = e2 & op(e0, e3) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | ALPHA: (10366) implies:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |   (10367)  all_56_12 = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | |   (10368)  op(e0, e3) = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |   (10369)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10369) gives:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |   (10370)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.51/29.42  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10370) gives:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |   (10371)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10349), (10371), (function-axioms) are
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |   (10372)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (10312), (10372),
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |            #1973.
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |   (10373)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10373) gives:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |   (10374)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10374) gives:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10375)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10375) implies:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10376)   ~ (all_57_10 = e2)
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10377)   ~ (all_57_4 = e1)
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10378)  op(e1, e2) = all_57_4
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10379)  op(e3, e2) = e3
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10380)  op(e3, e3) = all_57_10
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (10368) gives:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10381)  all_52_3 = e2
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4, e2, e1, simplifying with (162), (10378)
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10382)  all_57_4 = all_52_6
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (10362) gives:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10383)  all_52_12 = e2
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (10379) gives:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10384)  all_52_4 = e3
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10, e3, e3, simplifying with (10318),
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |              (10380) gives:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10385)  all_57_10 = e1
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10377), (10382) imply:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10386)   ~ (all_52_6 = e1)
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10381) imply:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10387)   ~ (all_52_7 = e2)
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10387) implies:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10388)   ~ (all_52_7 = e2)
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (10381) imply:
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | |   (10389)   ~ (all_52_11 = e2)
% 189.86/29.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (10384) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (10390)   ~ (all_52_6 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10390) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (10391)   ~ (all_52_6 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (10384) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (10392)   ~ (all_52_7 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10392) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (10393)   ~ (all_52_7 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (10384) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (10394)   ~ (all_52_8 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10394) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (10395)   ~ (all_52_8 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10383) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (10396)   ~ (all_52_13 = e2)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (10397)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10397) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10398)  all_56_0 = e3 & op(e3, e3) = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10398) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10399)  op(e3, e3) = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10318), (10399), (function-axioms) are
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10400)  all_56_1 = e3 & op(e3, e2) = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10400) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10401)  all_56_1 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10402)  all_54_2 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10395), (10402) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1762.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10403)   ~ (all_54_2 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10404)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10404) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10405)  all_54_2 = e2
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9858), (10405) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1761.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10406)   ~ (all_54_2 = e2)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10407)  all_54_2 = e1 | all_54_2 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10407) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10408)  all_54_2 = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10315), (10408) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1760.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10409)  all_54_2 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10409) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10410)  all_52_8 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10410) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10411)  all_52_8 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (10411) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10412)   ~ (all_52_9 = e0)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10412) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10413)   ~ (all_52_9 = e0)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (10411) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10414)   ~ (all_52_11 = e0)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10415)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (10312), (10386), (10415),
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1322.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10416)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10416) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10417)  all_56_8 = e1 & op(e1, e1) = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10417) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10418)  op(e1, e1) = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (10418), (function-axioms) are
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10419)  all_56_11 = e1 & op(e1, e0) = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10419) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10420)  op(e1, e0) = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10421)  all_54_13 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10393), (10421) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10422)   ~ (all_54_13 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10423)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10423) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10424)  all_54_13 = e2
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10388), (10424) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1444.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10425)   ~ (all_54_13 = e2)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10426)  all_54_13 = e1 | all_54_13 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10427)  all_54_9 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (10391), (10427) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10428)   ~ (all_54_9 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10429)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10426) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10430)  all_54_13 = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (10430) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10431)  all_52_7 = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10431) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10432)  all_52_7 = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (10432) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10433)   ~ (all_52_11 = e1)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10433) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10434)   ~ (all_52_11 = e1)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10435)  all_54_14 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10435) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10436)  all_52_11 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10436) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10437)  all_52_11 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (10437) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10438)   ~ (all_52_9 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10439)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10439) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10440)  all_56_12 = e3 & op(e0, e3) = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10367), (10440) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1226.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10441)  all_56_13 = e3 & op(e0, e2) = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10441) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10442)  op(e0, e2) = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10393), (10442), (function-axioms) are
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10443)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10443) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10444)  all_56_14 = e3 & op(e0, e1) = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10444) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10445)  all_56_14 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10446)  all_54_6 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10438), (10446) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10447)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10447) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10448)  all_54_6 = e2
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9859), (10448) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1467.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10449)   ~ (all_54_6 = e2)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10450)  all_54_6 = e1 | all_54_6 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10429) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10451)  all_54_9 = e2
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9857), (10451) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1142.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10452)   ~ (all_54_9 = e2)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10453)  all_54_9 = e1 | all_54_9 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10453) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10454)  all_54_9 = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (10386), (10454) are inconsistent by
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1804.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10455)  all_54_9 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (10455) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10456)  all_52_6 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10456) implies:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10457)  all_52_6 = e0
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (10457) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10458)   ~ (all_52_2 = e0)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (10457) imply:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10459)   ~ (all_52_14 = e0)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10460)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10460) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10461)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10461) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10462)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10376), (10380), (10462),
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #527.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10463)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (10312), (10395), (10463),
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1733.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10464)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10464) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10465)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (10318), (10331), (10465),
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1891.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10466)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10318), (10352), (10379), (10466),
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1078.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10467)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10467) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10468)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10468) gives:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10469)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (10318), (10351), (10379), (10469),
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #526.
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10470)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (160), (261), (10335), (10413),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10450), (10470), (function-axioms) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #657.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10471)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10471) gives:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10472)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (232),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (10315), (10318), (10379), (10401),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10472), (function-axioms) are inconsistent by
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1870.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10473)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10473) gives:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10474)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10474) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10475)  op(e1, e1) = e1
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (165), (169), (219), (9858), (9859),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10445), (10475), (function-axioms) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10476)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10476) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10477)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10477) gives:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10478)  all_57_14 = e0 & op(e1, e1) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10478) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10479)  op(e1, e1) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (51), (113), (117), (120),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (145), (148), (157), (159), (160), (163), (164),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (168), (169), (170), (197), (199),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (218), (219), (220), (229), (230), (238),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (246), (260), (268), (351), (352), (358),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (360), (369), (370), (372), (373), (9865), (9867),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9869), (10312), (10314), (10318), (10320),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10323), (10458), (10479), (function-axioms) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1470.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10480)   ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10480) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10481)   ~ (all_57_13 = e1)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10482)  op(e1, e0) = all_57_13
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10420), (10481), (10482), (function-axioms) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10483)  all_56_15 = e3 & op(e0, e0) = e3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10483) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10484)  op(e0, e0) = e3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (9865), (9867), (10326), (10484),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1647.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10485)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (10333), (10434), (10485) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1736.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10486)  all_54_13 = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10332), (10486) are inconsistent by
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1653.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |   (10487)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10487) gives:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10488)  all_56_4 = e3 & op(e3, e1) = e3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10488) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10489)  op(e3, e1) = e3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10395), (10489), (function-axioms) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10490)  all_56_9 = e3 & op(e3, e0) = e3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10361), (10490) are inconsistent by
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #525.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (10491)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10491) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (10492)  op(e0, e0) = e2
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10339), (10492), (function-axioms) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (10493)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (10318), (10339), (10352), (10493),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |            #1486.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |   (10494)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10494) gives:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |   (10495)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10495) gives:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (10496)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10496) gives:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (10497)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10497) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (10498)  op(e0, e0) = e1
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10339), (10498), (function-axioms) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (10499)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10499) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (10500)  op(e2, e1) = e2
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (9869), (10341), (10346),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            (10500), (function-axioms) are inconsistent by
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1940.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (10501)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (113), (117), (120),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (157), (159), (160), (163), (164), (165), (168),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (169), (197), (214), (238), (239), (260), (373),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (9859), (10312), (10318), (10331), (10333),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (10334), (10335), (10339), (10351), (10352),
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (10501), (function-axioms) are inconsistent by
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1247.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |   (10502)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10502) gives:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (10503)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10318), (10503), (function-axioms) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (10504)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10504) gives:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (10505)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10505) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (10506)  op(e2, e0) = e2
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10351), (10506), (function-axioms) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (10507)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10507) gives:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |   (10508)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10508) implies:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |   (10509)  op(e2, e2) = e0
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10352), (10509), (function-axioms) are
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |   (10510)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.44  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10510) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (10511)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (158), (159), (373), (10331),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |            (10332), (10333), (10352), (10511),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |            #524.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10512)  all_54_5 = e1 | all_54_5 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | REF_CLOSE: (268), (9869), (10341), (10512) are inconsistent
% 189.86/29.45  | | | | | | | | | | | | | | | |            by sub-proof #1941.
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | |   (10513)  all_32_2 = e0
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | COMBINE_EQS: (314), (10513) imply:
% 189.86/29.45  | | | | | | | | | | | | | |   (10514)  all_4_2 = e0
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | COMBINE_EQS: (309), (10514) imply:
% 189.86/29.45  | | | | | | | | | | | | | |   (10515)  all_36_2 = e0
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | REDUCE: (36), (10514) imply:
% 189.86/29.45  | | | | | | | | | | | | | |   (10516)  op(e2, e2) = e0
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | |   (10517)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.86/29.45  | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | BETA: splitting (10517) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10518)  all_56_4 = e0 & op(e3, e1) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | ALPHA: (10518) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10519)  all_56_4 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10520)  op(e3, e1) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10521)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | BETA: splitting (10521) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10522)  all_56_0 = e0 & op(e3, e3) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | ALPHA: (10522) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10523)  op(e3, e3) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10318), (10523), (function-axioms) are
% 189.86/29.45  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10524)  all_56_2 = e0 & op(e2, e3) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | ALPHA: (10524) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10525)  all_56_2 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10526)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10516), (10525), (10526), (function-axioms)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1714.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10527)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | BETA: splitting (10527) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10528)  all_56_5 = e2 & op(e2, e1) = e2
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | ALPHA: (10528) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10529)  op(e2, e1) = e2
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9859), (10529), (function-axioms) are
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10530)  all_56_10 = e2 & op(e2, e0) = e2
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | ALPHA: (10530) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10531)  all_56_10 = e2
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (10515), (10516), (10525),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |            (10531), (function-axioms) are inconsistent by
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |            sub-proof #1702.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10532)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.86/29.45  | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | BETA: splitting (10532) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10533)  all_56_6 = e0 & op(e1, e3) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | ALPHA: (10533) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10534)  op(e1, e3) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 189.86/29.45  | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (10534) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10535)  all_52_2 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 189.86/29.45  | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (10520) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10536)  all_52_8 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | REDUCE: (149), (10535) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10537)   ~ (all_52_1 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | REDUCE: (144), (10535) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10538)   ~ (all_52_3 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | REDUCE: (141), (10535) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10539)   ~ (all_52_14 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | REDUCE: (134), (10536) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10540)   ~ (all_52_4 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | REDUCE: (123), (10536) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10541)   ~ (all_52_9 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | SIMP: (10541) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10542)   ~ (all_52_9 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | REDUCE: (121), (10536) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10543)   ~ (all_52_11 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | BETA: splitting (10308) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10544)   ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_26_1 & $i(all_26_0) &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |            $i(all_26_1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | ALPHA: (10544) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10545)  op(e3, e1) = all_26_1
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10546)   ~ (all_42_2 = e1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | REDUCE: (10310), (10546) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10547)  $false
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | CLOSE: (10547) is inconsistent.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10548)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |              $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |              = all_42_1 & $i(all_42_1))
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (10520), (10545) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10549)  all_26_1 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | BETA: splitting (10548) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10550)   ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_42_1 & $i(all_42_0) &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            $i(all_42_1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | ALPHA: (10550) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10551)   ~ (all_42_0 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10552)  op(e3, e1) = all_42_1
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10553)  op(all_42_1, e3) = all_42_0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (51), (110), (117), (118),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (120), (125), (133), (135), (139), (140), (145),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (146), (148), (157), (158), (159), (160), (163),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (190),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (191), (192), (197), (198), (200), (203), (206),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (207), (208), (209), (211), (219), (220), (222),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (223), (224), (226), (227), (228), (229), (230),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (232), (233), (234), (235), (236), (238), (239),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (246), (247), (248), (249), (260), (261), (269),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (272), (373), (9859), (9860), (9861), (9862),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (9865), (9867), (10311), (10312), (10313),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (10314), (10315), (10318), (10326), (10331),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (10332), (10333), (10334), (10335), (10339),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (10516), (10519), (10520), (10537), (10540),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (10542), (10551), (10552), (10553),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            #515.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10554)   ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            $i(all_42_1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10520), (10554), (function-axioms) are
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1243.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10555)   ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |            $i(all_26_1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | ALPHA: (10555) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10556)   ~ (all_26_1 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10557)  op(e3, e1) = all_26_1
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10558)   ~ (all_42_2 = e1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | REDUCE: (10310), (10558) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10559)  $false
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | CLOSE: (10559) is inconsistent.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10560)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |              $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |              = all_42_1 & $i(all_42_1))
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (10520), (10557) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10561)  all_26_1 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | BETA: splitting (10560) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10562)   ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_42_1 & $i(all_42_0) &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            $i(all_42_1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | ALPHA: (10562) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10563)   ~ (all_42_0 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10564)  op(e3, e1) = all_42_1
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10565)  op(all_42_1, e3) = all_42_0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (51), (110), (117), (118),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (120), (125), (133), (135), (139), (140), (145),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (146), (148), (157), (158), (159), (160), (163),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (190),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (191), (192), (197), (198), (200), (203), (206),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (207), (208), (209), (211), (219), (220), (222),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (223), (224), (226), (227), (228), (229), (230),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (232), (233), (234), (235), (236), (238), (239),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (246), (247), (248), (249), (260), (261), (269),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (272), (373), (9859), (9860), (9861), (9862),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (9865), (9867), (10311), (10312), (10313),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (10314), (10315), (10318), (10326), (10331),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (10332), (10333), (10334), (10335), (10339),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (10516), (10519), (10520), (10537), (10540),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (10542), (10563), (10564), (10565),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            #515.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10566)   ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 &
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            $i(all_42_1)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10520), (10566), (function-axioms) are
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1243.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10567)  all_56_12 = e0 & op(e0, e3) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | ALPHA: (10567) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10568)  op(e0, e3) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10331), (10568), (function-axioms) are
% 189.86/29.45  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10569)  all_56_5 = e0 & op(e2, e1) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | ALPHA: (10569) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10570)  all_56_5 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (222), (223),
% 189.86/29.45  | | | | | | | | | | | | | | | |            (224), (229), (233), (235), (373), (10318),
% 189.86/29.45  | | | | | | | | | | | | | | | |            (10516), (10570), (function-axioms) are
% 189.86/29.45  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1239.
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | |   (10571)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.86/29.45  | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (9862), (10333), (10571),
% 189.86/29.45  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.45  | | | | | | | | | | | | | | |            #514.
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | End of split
% 189.86/29.45  | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | |   (10572)  all_28_2 = e2
% 189.86/29.45  | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | COMBINE_EQS: (330), (10572) imply:
% 189.86/29.45  | | | | | | | | | |   (10573)  all_14_2 = e2
% 189.86/29.45  | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | SIMP: (10573) implies:
% 189.86/29.45  | | | | | | | | | |   (10574)  all_14_2 = e2
% 189.86/29.45  | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | REDUCE: (351), (10574) imply:
% 189.86/29.45  | | | | | | | | | |   (10575)   ~ (all_52_3 = e2)
% 189.86/29.45  | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | REDUCE: (370), (10574) imply:
% 189.86/29.45  | | | | | | | | | |   (10576)   ~ (all_52_12 = e2)
% 189.86/29.45  | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | REDUCE: (9867), (10574) imply:
% 189.86/29.45  | | | | | | | | | |   (10577)   ~ (e3 = e2)
% 189.86/29.45  | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | REDUCE: (51), (10574) imply:
% 189.86/29.45  | | | | | | | | | |   (10578)  op(e0, e0) = e2
% 189.86/29.45  | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | BETA: splitting (234) gives:
% 189.86/29.45  | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | |   (10579)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 189.86/29.45  | | | | | | | | | | |              & op(e3, e2) = e2)
% 189.86/29.45  | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | BETA: splitting (10579) gives:
% 189.86/29.45  | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | |   (10580)  all_56_0 = e2 & op(e3, e3) = e2
% 189.86/29.45  | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | ALPHA: (10580) implies:
% 189.86/29.45  | | | | | | | | | | | |   (10581)  op(e3, e3) = e2
% 189.86/29.45  | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | REF_CLOSE: (6), (10318), (10581), (function-axioms) are
% 189.86/29.45  | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 189.86/29.45  | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | |   (10582)  all_56_1 = e2 & op(e3, e2) = e2
% 189.86/29.45  | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | ALPHA: (10582) implies:
% 189.86/29.45  | | | | | | | | | | | |   (10583)  all_56_1 = e2
% 189.86/29.45  | | | | | | | | | | | |   (10584)  op(e3, e2) = e2
% 189.86/29.45  | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | BETA: splitting (233) gives:
% 189.86/29.45  | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | |   (10585)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 189.86/29.45  | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 189.86/29.45  | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | BETA: splitting (10585) gives:
% 189.86/29.45  | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | |   (10586)  all_56_0 = e2 & op(e3, e3) = e2
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | ALPHA: (10586) implies:
% 189.86/29.45  | | | | | | | | | | | | | |   (10587)  op(e3, e3) = e2
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | REF_CLOSE: (6), (10318), (10587), (function-axioms) are
% 189.86/29.45  | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | |   (10588)  all_56_2 = e2 & op(e2, e3) = e2
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | ALPHA: (10588) implies:
% 189.86/29.45  | | | | | | | | | | | | | |   (10589)  op(e2, e3) = e2
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 189.86/29.45  | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (10589) gives:
% 189.86/29.45  | | | | | | | | | | | | | |   (10590)  all_52_1 = e2
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 189.86/29.45  | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (10584) gives:
% 189.86/29.45  | | | | | | | | | | | | | |   (10591)  all_52_4 = e2
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | REDUCE: (148), (10590) imply:
% 189.86/29.45  | | | | | | | | | | | | | |   (10592)   ~ (all_52_3 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | REDUCE: (146), (10590) imply:
% 189.86/29.45  | | | | | | | | | | | | | |   (10593)   ~ (all_52_9 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | REDUCE: (145), (10590) imply:
% 189.86/29.45  | | | | | | | | | | | | | |   (10594)   ~ (all_52_13 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | SIMP: (10594) implies:
% 189.86/29.45  | | | | | | | | | | | | | |   (10595)   ~ (all_52_13 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | REDUCE: (135), (10591) imply:
% 189.86/29.45  | | | | | | | | | | | | | |   (10596)   ~ (all_52_7 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | SIMP: (10596) implies:
% 189.86/29.45  | | | | | | | | | | | | | |   (10597)   ~ (all_52_7 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | REDUCE: (134), (10591) imply:
% 189.86/29.45  | | | | | | | | | | | | | |   (10598)   ~ (all_52_8 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | REDUCE: (133), (10591) imply:
% 189.86/29.45  | | | | | | | | | | | | | |   (10599)   ~ (all_52_12 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | REDUCE: (352), (10591) imply:
% 189.86/29.45  | | | | | | | | | | | | | |   (10600)   ~ (all_4_2 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | SIMP: (10600) implies:
% 189.86/29.45  | | | | | | | | | | | | | |   (10601)   ~ (all_4_2 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 189.86/29.45  | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | |   (10602)  all_54_5 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10602) imply:
% 189.86/29.45  | | | | | | | | | | | | | | |   (10603)  all_4_2 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | REDUCE: (373), (10603) imply:
% 189.86/29.45  | | | | | | | | | | | | | | |   (10604)  $false
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | CLOSE: (10604) is inconsistent.
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | |   (10605)   ~ (all_54_5 = e3)
% 189.86/29.45  | | | | | | | | | | | | | | |   (10606)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | BETA: splitting (10606) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10607)  all_54_5 = e2
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10607) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10608)  all_4_2 = e2
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | REDUCE: (10601), (10608) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10609)  $false
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | CLOSE: (10609) is inconsistent.
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10610)   ~ (all_54_5 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | | |   (10611)  all_54_5 = e1 | all_54_5 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | BETA: splitting (10611) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10612)  all_54_5 = e1
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10612) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10613)  all_4_2 = e1
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | REDUCE: (9869), (10613) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10614)  $false
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | CLOSE: (10614) is inconsistent.
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10615)  all_54_5 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10615) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10616)  all_4_2 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (10616) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10617)  all_36_2 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | REDUCE: (358), (10616) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10618)   ~ (all_52_9 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | REDUCE: (360), (10616) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10619)   ~ (all_52_13 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | REDUCE: (373), (10616) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10620)   ~ (e3 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | REDUCE: (10601), (10616) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10621)   ~ (e2 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | REDUCE: (9869), (10616) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10622)   ~ (e1 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | REDUCE: (36), (10616) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | |   (10623)  op(e2, e2) = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10624)   ~ (all_36_2 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | REDUCE: (10617), (10624) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10625)  $false
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | CLOSE: (10625) is inconsistent.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | |   (10626)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 189.86/29.45  | | | | | | | | | | | | | | | | | |              & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 189.86/29.45  | | | | | | | | | | | | | | | | | |              $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | |              = all_36_1 & $i(all_36_1))
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10627)  all_54_2 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10627) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10628)  all_52_8 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | SIMP: (10628) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10629)  all_52_8 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | REDUCE: (123), (10629) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10630)   ~ (all_52_9 = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | SIMP: (10630) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10631)   ~ (all_52_9 = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | REDUCE: (121), (10629) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10632)   ~ (all_52_11 = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | SIMP: (10632) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10633)   ~ (all_52_11 = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10629) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10634)   ~ (all_52_12 = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | SIMP: (10634) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10635)   ~ (all_52_12 = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | REDUCE: (169), (10629) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | |   (10636)  op(e3, e1) = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10637)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10318), (10584), (10637),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |            #513.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |   (10638)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | BETA: splitting (10638) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10639)  all_56_4 = e3 & op(e3, e1) = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | ALPHA: (10639) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | |   (10640)  all_56_4 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | |   (10641)  all_54_3 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10635), (10641) are inconsistent by
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | |   (10642)   ~ (all_54_3 = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | |   (10643)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | |   (10644)  all_54_6 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10631), (10644) are inconsistent by
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | |   (10645)   ~ (all_54_6 = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | |   (10646)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10643) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | |   (10647)  all_54_3 = e2
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10576), (10647) are inconsistent by
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1689.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | |   (10648)   ~ (all_54_3 = e2)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | |   (10649)  all_54_3 = e1 | all_54_3 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10649) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (10650)  all_54_3 = e1
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10316), (10650) are inconsistent by
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1688.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (10651)  all_54_3 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10651) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (10652)  all_52_12 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10652) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (10653)  all_52_12 = e0
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10653) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (10654)   ~ (all_52_13 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10653) imply:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (10655)   ~ (all_52_14 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10655) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (10656)   ~ (all_52_14 = e0)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10657)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10589), (10657),
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            #512.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10658)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10658) gives:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10659)  all_56_5 = e3 & op(e2, e1) = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10659) implies:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10660)  op(e2, e1) = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10631), (10660), (function-axioms) are
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10661)  all_56_10 = e3 & op(e2, e0) = e3
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10661) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10662)  all_56_10 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10663)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10318), (10623), (10663), (function-axioms) are
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1843.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10664)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10664) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10665)  all_56_5 = e1 & op(e2, e1) = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10665) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10666)  all_56_5 = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10667)  op(e2, e1) = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10646) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10668)  all_54_6 = e2
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9859), (10668) are inconsistent by
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1467.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10669)   ~ (all_54_6 = e2)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10670)  all_54_6 = e1 | all_54_6 = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10671)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10671) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10672)  all_56_6 = e0 & op(e1, e3) = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10672) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10673)  all_56_6 = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10674)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10674) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10675)  all_56_0 = e3 & op(e3, e3) = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10675) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10676)  op(e3, e3) = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10318), (10676), (function-axioms) are
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10677)  all_56_2 = e3 & op(e2, e3) = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10677) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10678)  all_56_2 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (221), (223),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (373), (10662), (10666), (10667), (10678),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1397.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10679)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10679) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10680)  all_56_6 = e3 & op(e1, e3) = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (164), (223),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (373), (10595), (10623), (10662), (10666),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10667), (10673), (10680), (function-axioms) are
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #511.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10681)  all_56_12 = e3 & op(e0, e3) = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10681) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10682)  all_56_12 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10670) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10683)  all_54_6 = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (10683) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10684)  all_52_9 = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10684) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10685)  all_52_9 = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (10685) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10686)   ~ (all_52_11 = e1)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10686) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10687)   ~ (all_52_11 = e1)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10685) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10688)   ~ (all_52_13 = e1)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10688) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10689)   ~ (all_52_13 = e1)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10690)  all_54_7 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10690) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10691)  all_52_13 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10691) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10692)  all_52_13 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (10692) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10693)   ~ (all_52_14 = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10693) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10694)   ~ (all_52_14 = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (10692) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10695)  op(e2, e0) = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10696)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10696) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10697)  all_56_6 = e3 & op(e1, e3) = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (164), (223),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (373), (10595), (10623), (10662), (10666),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10667), (10673), (10697), (function-axioms) are
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #511.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10698)  all_56_7 = e3 & op(e1, e2) = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10698) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10699)  all_56_7 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10700)  all_54_14 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10700) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10701)  all_52_11 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10633), (10701) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10702)  $false
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10702) is inconsistent.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10703)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10704)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (10314), (10623), (10704),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1908.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10705)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10705) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10706)  all_56_7 = e1 & op(e1, e2) = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10706) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10707)  all_56_7 = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10699), (10707) are inconsistent by
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1907.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10708)  all_56_13 = e1 & op(e0, e2) = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10708) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10709)  all_56_13 = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10626) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10710)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_36_1 & $i(all_36_0) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_36_1)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10710) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10711)  op(e2, e0) = all_36_1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10712)  all_56_15 = e0 & op(e0, e0) = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10712) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10713)  op(e0, e0) = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10578), (10713), (function-axioms) are
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10714)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10714) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10715)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10703) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10716)  all_54_14 = e2
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (10716) are inconsistent by
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1740.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10717)   ~ (all_54_14 = e2)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10718)  all_54_14 = e1 | all_54_14 = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10718) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10719)  all_54_14 = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10687), (10719) are inconsistent by
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1739.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10720)  all_54_14 = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10720) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10721)  all_52_11 = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10721) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10722)  all_52_11 = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (10722) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10723)   ~ (all_52_3 = e0)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (10722) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10724)   ~ (all_52_7 = e0)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10725)  all_54_12 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10725) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10726)  all_52_3 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10726) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10727)  all_52_3 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (10727) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10728)   ~ (all_52_2 = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10727) imply:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10729)   ~ (all_52_7 = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10729) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10730)   ~ (all_52_7 = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10731)  all_54_13 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10730), (10731) are inconsistent by
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10732)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10732) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10733)  all_54_13 = e2
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10597), (10733) are inconsistent by
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1444.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10734)  all_54_13 = e1 | all_54_13 = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10735)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10735) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10736)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10736) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10737)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10584), (10737),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #535.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10738)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10312), (10728), (10738),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #510.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10739)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10739) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10740)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10740) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10741)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10741) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10742)  op(e3, e3) = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10318), (10742), (function-axioms) are
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10743)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10743) implies:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10744)  op(e0, e3) = e0
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (118), (139), (157), (159), (207),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (261), (10313), (10578), (10618), (10670),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10682), (10715), (10744), (function-axioms) are
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1450.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10745)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (128), (162), (248), (10623), (10724),
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10734), (10745), (function-axioms) are
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #508.
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10746)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10746) gives:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10747)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (160), (164), (10619), (10656),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10687), (10695), (10711), (10747),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #587.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10748)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10748) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10749)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10749) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10750)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10750) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10751)  op(e3, e3) = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10318), (10751), (function-axioms) are
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10752)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10752) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10753)  op(e2, e2) = e2
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (10583), (10699), (10709),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10753), (function-axioms) are inconsistent by
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1786.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10754)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (10578), (10754),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #531.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10755)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (10313), (10575), (10723), (10755) are
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #707.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10756)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_36_1)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10695), (10756), (function-axioms) are
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1708.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10757)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10694), (10757),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #507.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10758)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10595), (10619), (10689), (10758) are
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1375.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10759)  all_54_6 = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (10618), (10759) are inconsistent by
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1452.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10760)  all_56_7 = e0 & op(e1, e2) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10760) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10761)  all_56_7 = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (10314), (10623), (10761),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1240.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10762)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10762) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10763)  all_56_8 = e0 & op(e1, e1) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10763) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10764)  op(e1, e1) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (206), (207), (209), (218), (219), (220),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10313), (10315), (10578), (10640), (10667),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10764), (function-axioms) are inconsistent by
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1403.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10765)  all_56_11 = e0 & op(e1, e0) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10765) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10766)  op(e1, e0) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10656), (10766), (function-axioms) are
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10767)  all_56_10 = e1 & op(e2, e0) = e1
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10662), (10767) are inconsistent by
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1539.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | |   (10768)  all_56_9 = e3 & op(e3, e0) = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | ALPHA: (10768) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | |   (10769)  op(e3, e0) = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (10636), (10769),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | |            #1912.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | |   (10770)   ~ (all_54_2 = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | |   (10771)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | REDUCE: (271), (10770) imply:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | |   (10772)   ~ (all_52_8 = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | |   (10773)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10318), (10584), (10773),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | |            #513.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | |   (10774)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (10774) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | |   (10775)  all_56_4 = e3 & op(e3, e1) = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | ALPHA: (10775) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | |   (10776)  op(e3, e1) = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10772), (10776), (function-axioms) are
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | |   (10777)  all_56_9 = e3 & op(e3, e0) = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | ALPHA: (10777) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | |   (10778)  op(e3, e0) = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | |   (10779)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10779) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | |   (10780)  all_56_0 = e0 & op(e3, e3) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10780) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | |   (10781)  op(e3, e3) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10318), (10781), (function-axioms) are
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | |   (10782)  all_56_1 = e0 & op(e3, e2) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10782) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | |   (10783)  all_56_1 = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10784)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (10314), (10623), (10784),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |            #1908.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10785)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10785) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (10786)  all_56_7 = e1 & op(e1, e2) = e1
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10786) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (10787)  all_56_7 = e1
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (10623), (10783), (10787),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            #1903.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (10788)  all_56_13 = e1 & op(e0, e2) = e1
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10788) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (10789)  all_56_13 = e1
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (120), (168),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (226), (227), (228), (234), (236),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (10314), (10318), (10623), (10783),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (10789), (function-axioms) are inconsistent by
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1900.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | |   (10790)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10790) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | |   (10791)  all_56_4 = e0 & op(e3, e1) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10791) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | |   (10792)  all_56_4 = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10793)  all_56_15 = e0 & op(e0, e0) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10793) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10794)  op(e0, e0) = e0
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10578), (10794), (function-axioms) are
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10795)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10795) implies:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10796)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (10797)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10797) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10798)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10798) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10799)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (10584), (10799),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #535.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10800)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (163), (168), (169), (10312), (10778),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10800), (function-axioms) are inconsistent by
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1482.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10801)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10801) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10802)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (10318), (10778), (10802),
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #506.
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10803)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10803) gives:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10804)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10804) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10805)  op(e2, e2) = e1
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10623), (10805), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10806)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10806) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10807)  op(e2, e1) = e1
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10771) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10808)  all_54_2 = e2
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9858), (10808) are inconsistent by
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1761.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10809)   ~ (all_54_2 = e2)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10810)  all_54_2 = e1 | all_54_2 = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10810) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10811)  all_54_2 = e1
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10315), (10811) are inconsistent by
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1760.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10812)  all_54_2 = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10812) imply:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10813)  all_52_8 = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10813) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10814)  all_52_8 = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10814) imply:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10815)   ~ (all_52_12 = e0)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10815) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10816)   ~ (all_52_12 = e0)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10796) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10817)  all_56_9 = e0 & op(e3, e0) = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10817) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10818)  op(e3, e0) = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10816), (10818), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10819)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10819) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10820)  all_56_10 = e0 & op(e2, e0) = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10820) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10821)  all_56_10 = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (229), (233), (235), (373), (10318),
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10595), (10623), (10821), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1410.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10822)  all_56_11 = e0 & op(e1, e0) = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10822) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10823)  op(e1, e0) = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10824)  all_54_3 = e3
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10824) imply:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10825)  all_52_12 = e3
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10825) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10826)  all_52_12 = e3
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10826) imply:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10827)   ~ (all_52_13 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10827) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10828)   ~ (all_52_13 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10829)  all_54_7 = e3
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10828), (10829) are inconsistent by
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10830)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10830) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10831)  all_54_7 = e2
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10595), (10831) are inconsistent by
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10832)  all_54_7 = e1 | all_54_7 = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10832) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10833)  all_54_7 = e1
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10833) imply:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10834)  all_52_13 = e1
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10834) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10835)  all_52_13 = e1
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10835) imply:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10836)   ~ (all_52_9 = e1)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10807), (10836), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10837)  all_54_7 = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10619), (10837) are inconsistent by
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1477.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10838)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (10316), (10576), (10823),
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10838), (function-axioms) are inconsistent by
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1686.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (10839)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10839) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10840)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10840) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10841)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10595), (10619), (10841),
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1172.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10842)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10842) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10843)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10843) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10844)  op(e1, e1) = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10792), (10844), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1809.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10845)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10845) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10846)  op(e0, e0) = e1
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10578), (10846), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10847)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10847) gives:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10848)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (10318), (10623), (10848),
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1170.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10849)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (10578), (10849),
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #531.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | |   (10850)  all_56_9 = e0 & op(e3, e0) = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10850) implies:
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | |   (10851)  op(e3, e0) = e0
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10778), (10851), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | |   (10852)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 189.86/29.48  | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | BETA: splitting (10852) gives:
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | |   (10853)  all_56_6 = e2 & op(e1, e3) = e2
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (10853), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | |   (10854)  all_56_12 = e2 & op(e0, e3) = e2
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | REF_CLOSE: (159), (10575), (10854), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | |   (10855)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 189.86/29.48  | | | | | | | | | | |              & op(e3, e0) = e2)
% 189.86/29.48  | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | BETA: splitting (10855) gives:
% 189.86/29.48  | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | |   (10856)  all_56_4 = e2 & op(e3, e1) = e2
% 189.86/29.48  | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | REF_CLOSE: (169), (9858), (10856), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 189.86/29.48  | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | |   (10857)  all_56_9 = e2 & op(e3, e0) = e2
% 189.86/29.48  | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | REF_CLOSE: (168), (10576), (10857), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 189.86/29.48  | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | 
% 189.86/29.48  | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | |   (10858)  all_24_2 = e1
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | | COMBINE_EQS: (318), (10858) imply:
% 189.86/29.48  | | | | | | | |   (10859)  all_4_2 = e1
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | | REDUCE: (352), (10859) imply:
% 189.86/29.48  | | | | | | | |   (10860)   ~ (all_52_4 = e1)
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | | REDUCE: (354), (10859) imply:
% 189.86/29.48  | | | | | | | |   (10861)   ~ (all_52_6 = e1)
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | | REDUCE: (356), (10859) imply:
% 189.86/29.48  | | | | | | | |   (10862)   ~ (all_52_7 = e1)
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | | REDUCE: (360), (10859) imply:
% 189.86/29.48  | | | | | | | |   (10863)   ~ (all_52_13 = e1)
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | | REDUCE: (373), (10859) imply:
% 189.86/29.48  | | | | | | | |   (10864)   ~ (e3 = e1)
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | | REDUCE: (36), (10859) imply:
% 189.86/29.48  | | | | | | | |   (10865)  op(e2, e2) = e1
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | | BETA: splitting (70) gives:
% 189.86/29.48  | | | | | | | | 
% 189.86/29.48  | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | 
% 189.86/29.48  | | | | | | | | |   (10866)   ~ (all_26_2 = e1)
% 189.86/29.48  | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | REDUCE: (307), (10866) imply:
% 189.86/29.48  | | | | | | | | |   (10867)   ~ (all_6_2 = e1)
% 189.86/29.48  | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | BETA: splitting (204) gives:
% 189.86/29.48  | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | |   (10868)  all_54_0 = e3
% 189.86/29.48  | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | COMBINE_EQS: (279), (10868) imply:
% 189.86/29.48  | | | | | | | | | |   (10869)  all_6_2 = e3
% 189.86/29.48  | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | SIMP: (10869) implies:
% 189.86/29.48  | | | | | | | | | |   (10870)  all_6_2 = e3
% 189.86/29.48  | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | REDUCE: (344), (10870) imply:
% 189.86/29.48  | | | | | | | | | |   (10871)   ~ (all_52_4 = e3)
% 189.86/29.48  | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | REDUCE: (346), (10870) imply:
% 189.86/29.48  | | | | | | | | | |   (10872)   ~ (all_52_8 = e3)
% 189.86/29.48  | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | REDUCE: (348), (10870) imply:
% 189.86/29.48  | | | | | | | | | |   (10873)   ~ (all_52_12 = e3)
% 189.86/29.48  | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | REDUCE: (39), (10870) imply:
% 189.86/29.48  | | | | | | | | | |   (10874)  op(e3, e3) = e3
% 189.86/29.48  | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | BETA: splitting (238) gives:
% 189.86/29.48  | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | |   (10875)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.86/29.48  | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48  | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.86/29.48  | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.86/29.48  | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.86/29.48  | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48  | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.48  | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.86/29.48  | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.86/29.48  | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.86/29.48  | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.86/29.48  | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.86/29.48  | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.86/29.48  | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.86/29.48  | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.48  | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.86/29.48  | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.86/29.48  | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 189.86/29.48  | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.86/29.48  | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.86/29.48  | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.86/29.48  | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.86/29.48  | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.48  | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.86/29.48  | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.86/29.48  | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.86/29.48  | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 189.86/29.48  | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.86/29.48  | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.48  | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.86/29.48  | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 189.86/29.48  | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.86/29.48  | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.86/29.48  | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.86/29.48  | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.86/29.48  | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.86/29.48  | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.48  | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.86/29.48  | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | BETA: splitting (10875) gives:
% 189.86/29.48  | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | |   (10876)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.86/29.48  | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48  | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.86/29.48  | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.86/29.48  | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.86/29.48  | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48  | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.48  | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.86/29.48  | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.86/29.48  | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.86/29.48  | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.86/29.48  | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.86/29.48  | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.86/29.48  | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.86/29.48  | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.48  | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.86/29.48  | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 189.86/29.48  | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | BETA: splitting (10876) gives:
% 189.86/29.48  | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | |   (10877)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.86/29.48  | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.86/29.48  | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.86/29.48  | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.86/29.48  | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.48  | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | BETA: splitting (10877) gives:
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | Case 1:
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | |   (10878)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.86/29.48  | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.86/29.48  | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | ALPHA: (10878) implies:
% 189.86/29.48  | | | | | | | | | | | | | |   (10879)  op(e1, e1) = e3
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (10879), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | |   (10880)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.86/29.48  | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.86/29.48  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.86/29.48  | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | ALPHA: (10880) implies:
% 189.86/29.48  | | | | | | | | | | | | | |   (10881)  op(e0, e0) = e3
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | | REF_CLOSE: (51), (9867), (10881), (function-axioms) are
% 189.86/29.48  | | | | | | | | | | | | | |            inconsistent by sub-proof #1977.
% 189.86/29.48  | | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | End of split
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | Case 2:
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | |   (10882)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.86/29.48  | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.86/29.48  | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.86/29.48  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.86/29.48  | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.86/29.48  | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.86/29.48  | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.48  | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.86/29.48  | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | | REF_CLOSE: (8), (51), (9867), (10865), (10882),
% 189.86/29.48  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.48  | | | | | | | | | | | | |            #1352.
% 189.86/29.48  | | | | | | | | | | | | | 
% 189.86/29.48  | | | | | | | | | | | | End of split
% 189.86/29.49  | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | Case 2:
% 189.86/29.49  | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | |   (10883)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.86/29.49  | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.49  | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.86/29.49  | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.86/29.49  | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.86/29.49  | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.86/29.49  | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.86/29.49  | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.49  | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.86/29.49  | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.86/29.49  | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.86/29.49  | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.86/29.49  | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.86/29.49  | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.86/29.49  | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.86/29.49  | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.86/29.49  | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.86/29.49  | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.86/29.49  | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.49  | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.86/29.49  | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.86/29.49  | | | | | | | | | | | |              $i(all_57_10))
% 189.86/29.49  | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | | BETA: splitting (10883) gives:
% 189.86/29.49  | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | | Case 1:
% 189.86/29.49  | | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | | |   (10884)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.86/29.49  | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.86/29.49  | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.86/29.49  | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.86/29.49  | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.86/29.49  | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.86/29.49  | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.86/29.49  | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.49  | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 189.86/29.49  | | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | | | REF_CLOSE: (170), (10871), (10884), (function-axioms) are
% 189.86/29.49  | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 189.86/29.49  | | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | | Case 2:
% 189.86/29.49  | | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | | |   (10885)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.86/29.49  | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.86/29.49  | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.86/29.49  | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 189.86/29.49  | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 189.86/29.49  | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 189.86/29.49  | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 189.86/29.49  | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.86/29.49  | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 189.86/29.49  | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.86/29.49  | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.86/29.49  | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.49  | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.86/29.49  | | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | | | REF_CLOSE: (162), (169), (10861), (10872), (10885),
% 189.86/29.49  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.86/29.49  | | | | | | | | | | | | |            #1677.
% 189.86/29.49  | | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | | End of split
% 189.86/29.49  | | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | End of split
% 189.86/29.49  | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | Case 2:
% 189.86/29.49  | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | |   (10886)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.86/29.49  | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.86/29.49  | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.86/29.49  | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.86/29.49  | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.86/29.49  | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.86/29.49  | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.86/29.49  | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 189.86/29.49  | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.86/29.49  | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.86/29.49  | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.86/29.49  | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.86/29.49  | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.86/29.49  | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.86/29.49  | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.86/29.49  | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.86/29.49  | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.86/29.49  | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.86/29.49  | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.86/29.49  | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.86/29.49  | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.86/29.49  | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.86/29.49  | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 189.86/29.49  | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.86/29.49  | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.86/29.49  | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.86/29.49  | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 189.86/29.49  | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.86/29.49  | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.86/29.49  | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.86/29.49  | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 189.86/29.49  | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.86/29.49  | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.86/29.49  | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.86/29.49  | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.86/29.49  | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.86/29.49  | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.86/29.49  | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.86/29.49  | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.86/29.49  | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.86/29.49  | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.86/29.49  | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.86/29.49  | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.86/29.49  | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.86/29.49  | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.86/29.49  | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.86/29.49  | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.86/29.49  | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.86/29.49  | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.86/29.49  | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.86/29.49  | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.86/29.49  | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.86/29.49  | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.86/29.49  | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.86/29.49  | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.86/29.49  | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.86/29.49  | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.86/29.49  | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.86/29.49  | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.86/29.49  | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.86/29.49  | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.86/29.49  | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | BETA: splitting (10886) gives:
% 189.86/29.49  | | | | | | | | | | | 
% 189.86/29.49  | | | | | | | | | | | Case 1:
% 189.86/29.49  | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | |   (10887)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.94/29.49  | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.49  | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.94/29.49  | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.49  | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.94/29.49  | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.94/29.49  | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.94/29.49  | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 189.94/29.49  | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.94/29.49  | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.94/29.49  | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.94/29.49  | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.94/29.49  | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.94/29.49  | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.94/29.49  | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.94/29.49  | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.94/29.49  | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.94/29.49  | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.94/29.49  | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.94/29.49  | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.94/29.49  | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.49  | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 189.94/29.49  | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | REF_CLOSE: (8), (51), (168), (9865), (10873), (10874),
% 189.94/29.49  | | | | | | | | | | | |            (10887), (function-axioms) are inconsistent by
% 189.94/29.49  | | | | | | | | | | | |            sub-proof #1962.
% 189.94/29.49  | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | |   (10888)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.94/29.49  | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.94/29.49  | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.94/29.49  | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.94/29.49  | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.94/29.49  | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.94/29.49  | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.94/29.49  | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 189.94/29.49  | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.94/29.49  | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 189.94/29.49  | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.94/29.49  | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.49  | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.94/29.49  | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 189.94/29.49  | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.94/29.49  | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.94/29.49  | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.94/29.49  | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.49  | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 189.94/29.49  | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.49  | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.94/29.49  | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.94/29.49  | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.94/29.49  | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.94/29.49  | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.94/29.49  | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.94/29.49  | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.94/29.49  | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.94/29.49  | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.94/29.49  | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.94/29.49  | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.94/29.49  | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.94/29.49  | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.94/29.49  | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.94/29.49  | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.94/29.49  | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.94/29.49  | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.94/29.49  | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.49  | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.94/29.49  | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | BETA: splitting (10888) gives:
% 189.94/29.49  | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | |   (10889)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.94/29.49  | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.94/29.49  | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.94/29.49  | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.94/29.49  | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.94/29.49  | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.94/29.49  | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.94/29.49  | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 189.94/29.49  | | | | | | | | | | | | |              $i(all_57_14))
% 189.94/29.49  | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | REF_CLOSE: (7), (10874), (10889), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 189.94/29.49  | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | |   (10890)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.94/29.49  | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.94/29.49  | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.94/29.49  | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.94/29.49  | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.94/29.49  | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.94/29.49  | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.94/29.49  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.94/29.49  | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.94/29.49  | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.94/29.49  | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.94/29.49  | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.94/29.49  | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.49  | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.94/29.49  | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.94/29.49  | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.94/29.49  | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.94/29.49  | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.94/29.49  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.94/29.49  | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.94/29.49  | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.94/29.49  | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.94/29.49  | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.94/29.49  | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.94/29.49  | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.94/29.49  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.94/29.49  | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.94/29.49  | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.94/29.49  | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.94/29.49  | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.49  | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.94/29.49  | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | BETA: splitting (10890) gives:
% 189.94/29.49  | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | |   (10891)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.94/29.49  | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.94/29.49  | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.94/29.49  | | | | | | | | | | | | | |            $i(all_57_13)
% 189.94/29.49  | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | ALPHA: (10891) implies:
% 189.94/29.49  | | | | | | | | | | | | | |   (10892)  op(e1, e1) = e0
% 189.94/29.49  | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (10892), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 189.94/29.49  | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | |   (10893)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.94/29.49  | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.94/29.49  | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 189.94/29.49  | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.94/29.49  | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.94/29.49  | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 189.94/29.49  | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.94/29.49  | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.94/29.49  | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 189.94/29.49  | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.94/29.49  | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.94/29.49  | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 189.94/29.49  | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.94/29.49  | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.94/29.49  | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 189.94/29.49  | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.49  | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.94/29.49  | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.94/29.49  | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 189.94/29.49  | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.94/29.49  | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.94/29.49  | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 189.94/29.49  | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 189.94/29.49  | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.94/29.49  | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 189.94/29.49  | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | BETA: splitting (10893) gives:
% 189.94/29.49  | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | |   (10894)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.94/29.49  | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.94/29.49  | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.94/29.49  | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | ALPHA: (10894) implies:
% 189.94/29.49  | | | | | | | | | | | | | | |   (10895)  op(e2, e2) = e0
% 189.94/29.49  | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | REF_CLOSE: (4), (10865), (10895), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 189.94/29.49  | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | |   (10896)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.49  | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.94/29.49  | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.49  | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.94/29.49  | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 189.94/29.49  | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.94/29.49  | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.94/29.49  | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.94/29.49  | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.94/29.49  | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.94/29.49  | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 189.94/29.49  | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.94/29.49  | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.94/29.49  | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 189.94/29.49  | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.94/29.49  | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.94/29.49  | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 189.94/29.49  | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.94/29.49  | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 189.94/29.49  | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | ALPHA: (10896) implies:
% 189.94/29.49  | | | | | | | | | | | | | | |   (10897)  op(e0, e0) = all_57_15
% 189.94/29.49  | | | | | | | | | | | | | | |   (10898)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.94/29.49  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.49  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.94/29.49  | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.94/29.49  | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.94/29.49  | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.94/29.49  | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.94/29.49  | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.94/29.49  | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.94/29.49  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.49  | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.94/29.49  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.94/29.49  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.94/29.49  | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.94/29.49  | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.94/29.49  | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.94/29.49  | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 189.94/29.49  | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (51), (10897)
% 189.94/29.49  | | | | | | | | | | | | | | |              gives:
% 189.94/29.49  | | | | | | | | | | | | | | |   (10899)  all_57_15 = all_14_2
% 189.94/29.49  | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | |   (10900)   ~ (all_28_2 = e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | REDUCE: (330), (10900) imply:
% 189.94/29.49  | | | | | | | | | | | | | | | |   (10901)   ~ (all_14_2 = e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | |   (10902)  all_54_15 = e3
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9867), (10902) are inconsistent by
% 189.94/29.49  | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | |   (10903)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (158), (159), (246), (351), (362),
% 189.94/29.49  | | | | | | | | | | | | | | | | |            (369), (9865), (10865), (10874), (10898), (10901),
% 189.94/29.49  | | | | | | | | | | | | | | | | |            (10903), (function-axioms) are inconsistent by
% 189.94/29.49  | | | | | | | | | | | | | | | | |            sub-proof #505.
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | |   (10904)  all_28_2 = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (10904) imply:
% 189.94/29.49  | | | | | | | | | | | | | | | |   (10905)  all_14_2 = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | SIMP: (10905) implies:
% 189.94/29.49  | | | | | | | | | | | | | | | |   (10906)  all_14_2 = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | REDUCE: (351), (10906) imply:
% 189.94/29.49  | | | | | | | | | | | | | | | |   (10907)   ~ (all_52_3 = e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | REDUCE: (370), (10906) imply:
% 189.94/29.49  | | | | | | | | | | | | | | | |   (10908)   ~ (all_52_12 = e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | REDUCE: (9867), (10906) imply:
% 189.94/29.49  | | | | | | | | | | | | | | | |   (10909)   ~ (e3 = e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | REDUCE: (51), (10906) imply:
% 189.94/29.49  | | | | | | | | | | | | | | | |   (10910)  op(e0, e0) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | |   (10911)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | BETA: splitting (10911) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | |   (10912)  all_56_0 = e2 & op(e3, e3) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | ALPHA: (10912) implies:
% 189.94/29.49  | | | | | | | | | | | | | | | | | |   (10913)  op(e3, e3) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10874), (10913), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | |   (10914)  all_56_1 = e2 & op(e3, e2) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | ALPHA: (10914) implies:
% 189.94/29.49  | | | | | | | | | | | | | | | | | |   (10915)  op(e3, e2) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | |   (10916)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | BETA: splitting (10916) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | |   (10917)  all_56_0 = e2 & op(e3, e3) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | ALPHA: (10917) implies:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | |   (10918)  op(e3, e3) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10874), (10918), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | |   (10919)  all_56_2 = e2 & op(e2, e3) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | ALPHA: (10919) implies:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | |   (10920)  all_56_2 = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | BETA: splitting (10898) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |   (10921)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (9862), (10865), (10897), (10910),
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |            (10921), (function-axioms) are inconsistent by
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |            sub-proof #504.
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |   (10922)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10922) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |   (10923)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10923) implies:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |   (10924)   ~ (all_57_15 = e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10897), (10910), (10924), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |   (10925)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10925) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (10926)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10926) implies:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (10927)  op(e3, e3) = e1
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10874), (10927), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (10928)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10928) implies:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (10929)   ~ (all_57_15 = e1)
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (10930)  op(e0, e1) = e0
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (120), (121), (125), (128), (134), (135),
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (157), (162), (164), (168), (170), (191), (202),
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (210), (216), (229), (231), (248), (271), (9860),
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (9862), (10860), (10862), (10863), (10872),
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (10874), (10897), (10915), (10920), (10929),
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (10930), (function-axioms) are inconsistent by
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #498.
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | |   (10931)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 189.94/29.49  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | BETA: splitting (10931) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | |   (10932)  all_56_6 = e2 & op(e1, e3) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (10932), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | |   (10933)  all_56_12 = e2 & op(e0, e3) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10907), (10933), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | |   (10934)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | BETA: splitting (10934) gives:
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | |   (10935)  all_56_4 = e2 & op(e3, e1) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (10935), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | |   (10936)  all_56_9 = e2 & op(e3, e0) = e2
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10908), (10936), (function-axioms) are
% 189.94/29.49  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 189.94/29.49  | | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | |   (10937)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 189.94/29.49  | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | | REF_CLOSE: (279), (374), (9864), (10867), (10937) are
% 189.94/29.49  | | | | | | | | | |            inconsistent by sub-proof #1952.
% 189.94/29.49  | | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | | 
% 189.94/29.49  | | | | | | | | Case 2:
% 189.94/29.49  | | | | | | | | | 
% 189.94/29.49  | | | | | | | | |   (10938)  all_26_2 = e1
% 189.94/29.49  | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | COMBINE_EQS: (307), (10938) imply:
% 189.94/29.49  | | | | | | | | |   (10939)  all_6_2 = e1
% 189.94/29.49  | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | SIMP: (10939) implies:
% 189.94/29.49  | | | | | | | | |   (10940)  all_6_2 = e1
% 189.94/29.49  | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | REDUCE: (348), (10940) imply:
% 189.94/29.49  | | | | | | | | |   (10941)   ~ (all_52_12 = e1)
% 189.94/29.49  | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | REDUCE: (39), (10940) imply:
% 189.94/29.49  | | | | | | | | |   (10942)  op(e3, e3) = e1
% 189.94/29.49  | | | | | | | | | 
% 189.94/29.49  | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (51), (73), (120), (125),
% 189.94/29.49  | | | | | | | | |            (126), (134), (139), (141), (145), (157), (158),
% 189.94/29.49  | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 189.94/29.49  | | | | | | | | |            (168), (169), (170), (189), (210), (233), (234),
% 189.94/29.49  | | | | | | | | |            (238), (239), (246), (330), (351), (362), (370),
% 189.94/29.49  | | | | | | | | |            (372), (9856), (9858), (9859), (9861), (9862),
% 189.94/29.49  | | | | | | | | |            (9865), (9867), (10860), (10863), (10865), (10941),
% 189.94/29.49  | | | | | | | | |            (10942), (function-axioms) are inconsistent by
% 189.94/29.49  | | | | | | | | |            sub-proof #490.
% 189.94/29.49  | | | | | | | | | 
% 189.94/29.49  | | | | | | | | End of split
% 189.94/29.49  | | | | | | | | 
% 189.94/29.49  | | | | | | | End of split
% 189.94/29.49  | | | | | | | 
% 189.94/29.49  | | | | | | Case 2:
% 189.94/29.49  | | | | | | | 
% 189.94/29.49  | | | | | | |   (10943)  all_18_2 = e3
% 189.94/29.50  | | | | | | |   (10944)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 189.94/29.50  | | | | | | |              op(e0, e3) = all_18_1 & $i(all_18_0) & $i(all_18_1))
% 189.94/29.50  | | | | | | |            | ( ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 189.94/29.50  | | | | | | |              $i(all_18_1))
% 189.94/29.50  | | | | | | | 
% 189.94/29.50  | | | | | | | COMBINE_EQS: (301), (10943) imply:
% 189.94/29.50  | | | | | | |   (10945)  all_14_2 = e3
% 189.94/29.50  | | | | | | | 
% 189.94/29.50  | | | | | | | SIMP: (10945) implies:
% 189.94/29.50  | | | | | | |   (10946)  all_14_2 = e3
% 189.94/29.50  | | | | | | | 
% 189.94/29.50  | | | | | | | COMBINE_EQS: (299), (10946) imply:
% 189.94/29.50  | | | | | | |   (10947)  all_48_2 = e3
% 189.94/29.50  | | | | | | | 
% 189.94/29.50  | | | | | | | REDUCE: (362), (10946) imply:
% 189.94/29.50  | | | | | | |   (10948)   ~ (all_52_7 = e3)
% 189.94/29.50  | | | | | | | 
% 189.94/29.50  | | | | | | | REDUCE: (369), (10946) imply:
% 189.94/29.50  | | | | | | |   (10949)   ~ (all_52_11 = e3)
% 189.94/29.50  | | | | | | | 
% 189.94/29.50  | | | | | | | REDUCE: (370), (10946) imply:
% 189.94/29.50  | | | | | | |   (10950)   ~ (all_52_12 = e3)
% 189.94/29.50  | | | | | | | 
% 189.94/29.50  | | | | | | | REDUCE: (371), (10946) imply:
% 189.94/29.50  | | | | | | |   (10951)   ~ (all_52_13 = e3)
% 189.94/29.50  | | | | | | | 
% 189.94/29.50  | | | | | | | REDUCE: (372), (10946) imply:
% 189.94/29.50  | | | | | | |   (10952)   ~ (all_52_14 = e3)
% 189.94/29.50  | | | | | | | 
% 189.94/29.50  | | | | | | | BETA: splitting (212) gives:
% 189.94/29.50  | | | | | | | 
% 189.94/29.50  | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | 
% 189.94/29.50  | | | | | | | |   (10953)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 189.94/29.50  | | | | | | | |              op(e2, e0) = e3)
% 189.94/29.50  | | | | | | | | 
% 189.94/29.50  | | | | | | | | REF_CLOSE: (164), (168), (10950), (10951), (10953),
% 189.94/29.50  | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.50  | | | | | | | |            #1118.
% 189.94/29.50  | | | | | | | | 
% 189.94/29.50  | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | 
% 189.94/29.50  | | | | | | | |   (10954)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3
% 189.94/29.50  | | | | | | | |              & op(e0, e0) = e3)
% 189.94/29.50  | | | | | | | | 
% 189.94/29.50  | | | | | | | | BETA: splitting (10954) gives:
% 189.94/29.50  | | | | | | | | 
% 189.94/29.50  | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | 
% 189.94/29.50  | | | | | | | | |   (10955)  all_56_11 = e3 & op(e1, e0) = e3
% 189.94/29.50  | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | REF_CLOSE: (160), (10952), (10955), (function-axioms) are
% 189.94/29.50  | | | | | | | | |            inconsistent by sub-proof #1407.
% 189.94/29.50  | | | | | | | | | 
% 189.94/29.50  | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | 
% 189.94/29.50  | | | | | | | | |   (10956)  all_56_15 = e3 & op(e0, e0) = e3
% 189.94/29.50  | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | ALPHA: (10956) implies:
% 189.94/29.50  | | | | | | | | |   (10957)  all_56_15 = e3
% 189.94/29.50  | | | | | | | | |   (10958)  op(e0, e0) = e3
% 189.94/29.50  | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | BETA: splitting (67) gives:
% 189.94/29.50  | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | |   (10959)   ~ (all_24_2 = e1)
% 189.94/29.50  | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | REDUCE: (318), (10959) imply:
% 189.94/29.50  | | | | | | | | | |   (10960)   ~ (all_4_2 = e1)
% 189.94/29.50  | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | BETA: splitting (70) gives:
% 189.94/29.50  | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | |   (10961)   ~ (all_26_2 = e1)
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | REDUCE: (307), (10961) imply:
% 189.94/29.50  | | | | | | | | | | |   (10962)   ~ (all_6_2 = e1)
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | BETA: splitting (204) gives:
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | |   (10963)  all_54_0 = e3
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | COMBINE_EQS: (279), (10963) imply:
% 189.94/29.50  | | | | | | | | | | | |   (10964)  all_6_2 = e3
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | SIMP: (10964) implies:
% 189.94/29.50  | | | | | | | | | | | |   (10965)  all_6_2 = e3
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | REDUCE: (340), (10965) imply:
% 189.94/29.50  | | | | | | | | | | | |   (10966)   ~ (all_52_2 = e3)
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | REDUCE: (342), (10965) imply:
% 189.94/29.50  | | | | | | | | | | | |   (10967)   ~ (all_52_3 = e3)
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | REDUCE: (39), (10965) imply:
% 189.94/29.50  | | | | | | | | | | | |   (10968)  op(e3, e3) = e3
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (82), (103),
% 189.94/29.50  | | | | | | | | | | | |            (110), (117), (118), (120), (121), (123), (125),
% 189.94/29.50  | | | | | | | | | | | |            (126), (128), (134), (136), (139), (140), (141),
% 189.94/29.50  | | | | | | | | | | | |            (143), (144), (145), (146), (148), (149), (157),
% 189.94/29.50  | | | | | | | | | | | |            (158), (159), (160), (162), (163), (164), (165),
% 189.94/29.50  | | | | | | | | | | | |            (167), (168), (169), (170), (190), (197), (199),
% 189.94/29.50  | | | | | | | | | | | |            (200), (202), (206), (208), (210), (211), (213),
% 189.94/29.50  | | | | | | | | | | | |            (216), (221), (222), (223), (224), (226), (227),
% 189.94/29.50  | | | | | | | | | | | |            (229), (231), (233), (235), (238), (239), (247),
% 189.94/29.50  | | | | | | | | | | | |            (260), (268), (269), (271), (349), (356), (358),
% 189.94/29.50  | | | | | | | | | | | |            (360), (373), (9855), (9858), (9859), (9860),
% 189.94/29.50  | | | | | | | | | | | |            (9861), (9862), (10944), (10947), (10950),
% 189.94/29.50  | | | | | | | | | | | |            (10951), (10952), (10958), (10960), (10966),
% 189.94/29.50  | | | | | | | | | | | |            (10967), (10968), (function-axioms) are
% 189.94/29.50  | | | | | | | | | | | |            inconsistent by sub-proof #467.
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | |   (10969)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | REF_CLOSE: (279), (374), (9864), (10962), (10969) are
% 189.94/29.50  | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | End of split
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | |   (10970)  all_26_2 = e1
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | COMBINE_EQS: (307), (10970) imply:
% 189.94/29.50  | | | | | | | | | | |   (10971)  all_6_2 = e1
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | SIMP: (10971) implies:
% 189.94/29.50  | | | | | | | | | | |   (10972)  all_6_2 = e1
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | REDUCE: (338), (10972) imply:
% 189.94/29.50  | | | | | | | | | | |   (10973)   ~ (all_52_1 = e1)
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | REDUCE: (340), (10972) imply:
% 189.94/29.50  | | | | | | | | | | |   (10974)   ~ (all_52_2 = e1)
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | REDUCE: (344), (10972) imply:
% 189.94/29.50  | | | | | | | | | | |   (10975)   ~ (all_52_4 = e1)
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | REDUCE: (346), (10972) imply:
% 189.94/29.50  | | | | | | | | | | |   (10976)   ~ (all_52_8 = e1)
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | REDUCE: (348), (10972) imply:
% 189.94/29.50  | | | | | | | | | | |   (10977)   ~ (all_52_12 = e1)
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | REDUCE: (39), (10972) imply:
% 189.94/29.50  | | | | | | | | | | |   (10978)  op(e3, e3) = e1
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | BETA: splitting (79) gives:
% 189.94/29.50  | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | |   (10979)   ~ (all_32_2 = e0)
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | REDUCE: (314), (10979) imply:
% 189.94/29.50  | | | | | | | | | | | |   (10980)   ~ (all_4_2 = e0)
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | BETA: splitting (199) gives:
% 189.94/29.50  | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | |   (10981)  all_54_5 = e3
% 189.94/29.50  | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | COMBINE_EQS: (268), (10981) imply:
% 189.94/29.50  | | | | | | | | | | | | |   (10982)  all_4_2 = e3
% 189.94/29.50  | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | REDUCE: (373), (10982) imply:
% 189.94/29.50  | | | | | | | | | | | | |   (10983)  $false
% 189.94/29.50  | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | CLOSE: (10983) is inconsistent.
% 189.94/29.50  | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | |   (10984)   ~ (all_54_5 = e3)
% 189.94/29.50  | | | | | | | | | | | | |   (10985)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 189.94/29.50  | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | BETA: splitting (10985) gives:
% 189.94/29.50  | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | |   (10986)  all_54_5 = e2
% 189.94/29.50  | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | COMBINE_EQS: (268), (10986) imply:
% 189.94/29.50  | | | | | | | | | | | | | |   (10987)  all_4_2 = e2
% 189.94/29.50  | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | REDUCE: (349), (10987) imply:
% 189.94/29.50  | | | | | | | | | | | | | |   (10988)   ~ (all_52_1 = e2)
% 189.94/29.50  | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | REDUCE: (356), (10987) imply:
% 189.94/29.50  | | | | | | | | | | | | | |   (10989)   ~ (all_52_7 = e2)
% 189.94/29.50  | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | REDUCE: (360), (10987) imply:
% 189.94/29.50  | | | | | | | | | | | | | |   (10990)   ~ (all_52_13 = e2)
% 189.94/29.50  | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | REDUCE: (373), (10987) imply:
% 189.94/29.50  | | | | | | | | | | | | | |   (10991)   ~ (e3 = e2)
% 189.94/29.50  | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | REDUCE: (36), (10987) imply:
% 189.94/29.50  | | | | | | | | | | | | | |   (10992)  op(e2, e2) = e2
% 189.94/29.50  | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 189.94/29.50  | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | |   (10993)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 189.94/29.50  | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 189.94/29.50  | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (10978), (10988), (10993),
% 189.94/29.50  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.50  | | | | | | | | | | | | | | |            #1469.
% 189.94/29.50  | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | |   (10994)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 189.94/29.50  | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 189.94/29.50  | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | BETA: splitting (10994) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | |   (10995)  all_56_6 = e2 & op(e1, e3) = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (10995), (function-axioms) are
% 189.94/29.50  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 189.94/29.50  | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | |   (10996)  all_56_12 = e2 & op(e0, e3) = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | ALPHA: (10996) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | |   (10997)  all_56_12 = e2
% 189.94/29.50  | | | | | | | | | | | | | | | |   (10998)  op(e0, e3) = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | |   (10999)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.94/29.50  | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 189.94/29.50  | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | BETA: splitting (10999) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | |   (11000)  all_56_9 = e2 & op(e3, e0) = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | ALPHA: (11000) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | |   (11001)  all_56_9 = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | BETA: splitting (10944) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11002)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_18_1 & $i(all_18_0) &
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | ALPHA: (11002) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11003)   ~ (all_18_0 = e1)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11004)  op(e0, e3) = all_18_1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11005)  op(all_18_1, e0) = all_18_0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_18_1,
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (10998), (11004) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11006)  all_18_1 = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | REDUCE: (11005), (11006) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11007)  op(e2, e0) = all_18_0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |              all_18_0, e0, e2, simplifying with (164), (11007)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |              gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11008)  all_52_13 = all_18_0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11008) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11009)  all_54_7 = all_18_0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11008) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11010)   ~ (all_52_1 = all_18_0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11008) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11011)   ~ (all_52_9 = all_18_0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | REDUCE: (110), (11008) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11012)   ~ (all_52_14 = all_18_0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | SIMP: (11012) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11013)   ~ (all_52_14 = all_18_0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | REDUCE: (10951), (11008) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11014)   ~ (all_18_0 = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | REDUCE: (10990), (11008) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | |   (11015)   ~ (all_18_0 = e2)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | |   (11016)  all_54_7 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11009), (11016) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | |   (11017)  all_18_0 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | REDUCE: (11014), (11017) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | |   (11018)  $false
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | CLOSE: (11018) is inconsistent.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | |   (11019)   ~ (all_54_7 = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | |   (11020)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (11020) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | |   (11021)  all_54_7 = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11009), (11021) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | |   (11022)  all_18_0 = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | REDUCE: (11015), (11022) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | |   (11023)  $false
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | CLOSE: (11023) is inconsistent.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | |   (11024)   ~ (all_54_7 = e2)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | |   (11025)  all_54_7 = e1 | all_54_7 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | |   (11026)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | |            (10978), (10992), (11026), (function-axioms) are
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1447.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | |   (11027)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11027) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |   (11028)  all_56_5 = e1 & op(e2, e1) = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11028) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |   (11029)  all_56_5 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11025) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (11030)  all_54_7 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11003), (11009), (11030) are inconsistent by
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #488.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (11031)  all_54_7 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11009), (11031) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (11032)  all_18_0 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11032) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (11033)  all_18_0 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11010), (11033) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (11034)   ~ (all_52_1 = e0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11011), (11033) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (11035)   ~ (all_52_9 = e0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11013), (11033) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (11036)   ~ (all_52_14 = e0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11014), (11033) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (11037)   ~ (e3 = e0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11015), (11033) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (11038)   ~ (e2 = e0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11003), (11033) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (11039)   ~ (e1 = e0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (11040)  all_54_11 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (10952), (11040) are inconsistent by
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1277.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (11041)   ~ (all_54_11 = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (11042)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11043)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11043) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11044)  all_56_2 = e3 & op(e2, e3) = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11044) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11045)  all_56_2 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11046)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11046) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11047)  all_56_4 = e3 & op(e3, e1) = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11047) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11048)  all_56_4 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11049)  op(e3, e1) = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11042) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11050)  all_54_11 = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (9861), (11050) are inconsistent by
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11051)   ~ (all_54_11 = e2)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11052)  all_54_11 = e1 | all_54_11 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11053)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11053) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11054)  all_56_6 = e3 & op(e1, e3) = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11054) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11055)  all_56_6 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11045), (11055), (function-axioms) are
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1458.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11056)  all_56_7 = e3 & op(e1, e2) = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11056) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11057)  all_56_7 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11058)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11058) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11059)  all_56_0 = e0 & op(e3, e3) = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11059) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11060)  op(e3, e3) = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10978), (11060), (function-axioms) are
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11061)  all_56_1 = e0 & op(e3, e2) = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11061) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11062)  all_56_1 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11063)  all_54_4 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11063) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11064)  all_52_1 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11064) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11065)   ~ (all_52_2 = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11065) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11066)   ~ (all_52_2 = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (11064) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11067)   ~ (all_52_9 = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11067) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11068)   ~ (all_52_9 = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (11064) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11069)  op(e2, e3) = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11070)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (10975), (10992), (11070),
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1766.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11071)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11071) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11072)  all_56_7 = e1 & op(e1, e2) = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11045), (11057), (11072),
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #466.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11073)  all_56_13 = e1 & op(e0, e2) = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11073) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11074)  all_56_13 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11075)  all_54_6 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11068), (11075) are inconsistent by
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11076)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11077)  all_54_8 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (11066), (11077) are inconsistent by
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11078)   ~ (all_54_8 = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11079)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11076) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11080)  all_54_6 = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9859), (11080) are inconsistent by
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1467.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11081)  all_54_6 = e1 | all_54_6 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11081) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11082)  all_54_6 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11082) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11083)  all_52_9 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11083) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11084)  all_52_9 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11084) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11085)   ~ (all_52_11 = e1)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11085) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11086)   ~ (all_52_11 = e1)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11079) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11087)  all_54_8 = e2
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (9856), (11087) are inconsistent by
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11088)  all_54_8 = e1 | all_54_8 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11052) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11089)  all_54_11 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (11089) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11090)  all_52_14 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11090) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11091)  all_52_14 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11091) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11092)   ~ (all_52_6 = e1)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9861), (11091) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11093)   ~ (e2 = e1)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (11091) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11094)  op(e1, e0) = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11088) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11095)  all_54_8 = e1
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (10974), (11095) are inconsistent by
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1367.
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11096)  all_54_8 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (11096) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11097)  all_52_2 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11097) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11098)  all_52_2 = e0
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11098) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11099)   ~ (all_52_6 = e0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11099) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11100)   ~ (all_52_6 = e0)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11101)  all_54_9 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (11101) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11102)  all_52_6 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11102) implies:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11103)  all_52_6 = e3
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11103) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11104)   ~ (all_52_4 = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11103) imply:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11105)   ~ (all_52_7 = e3)
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11106)  all_54_14 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10949), (11106) are inconsistent by
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1260.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11107)   ~ (all_54_14 = e3)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11108)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11108) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11109)  all_54_14 = e2
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (11109) are inconsistent by
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1740.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11110)   ~ (all_54_14 = e2)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11111)  all_54_14 = e1 | all_54_14 = e0
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11111) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11112)  all_54_14 = e1
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11086), (11112) are inconsistent by
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1739.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11113)  all_54_14 = e0
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11113) imply:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11114)  all_52_11 = e0
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11114) implies:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11115)  all_52_11 = e0
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11115) imply:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11116)   ~ (all_52_7 = e0)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (11115) imply:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11117)  op(e0, e1) = e0
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11118)  all_54_13 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10948), (11118) are inconsistent by
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11119)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11119) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11120)  all_54_13 = e2
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10989), (11120) are inconsistent by
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1444.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11121)  all_54_13 = e1 | all_54_13 = e0
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11122)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11122) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11123)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11123) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11124)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (11104), (11124),
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1530.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11125)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10974), (11066), (11125),
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #510.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11126)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11126) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11127)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (139), (157), (159), (10978), (11117),
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11127), (function-axioms) are inconsistent by
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1195.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11128)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11128) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11129)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11129) implies:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11130)  op(e2, e2) = e1
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10992), (11130), (function-axioms) are
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11131)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11131) implies:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11132)  op(e1, e2) = e1
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (248), (11116), (11121), (11132),
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #509.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11133)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11133) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11134)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11134) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11135)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (164), (10990), (11116), (11135),
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #634.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11136)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (157), (160), (259), (10974), (11086),
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11088), (11136), (function-axioms) are
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #793.
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11137)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11137) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11138)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11138) gives:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11139)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11139) implies:
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11140)  op(e3, e3) = e3
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (10974), (11045), (11140),
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1216.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11141)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11141) implies:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11142)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11143)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11144)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11144) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11145)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11145) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11146)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11069), (11146), (function-axioms) are
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1442.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11147)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (10974), (11147),
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1973.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11148)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11148) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11149)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11143), (11149), (function-axioms) are
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #465.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11150)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11150) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11151)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11151) implies:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11152)  op(e1, e2) = e1
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (248), (11116), (11121), (11152),
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #509.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11153)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11153) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11154)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11154) implies:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11155)  op(e1, e2) = e1
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (248), (11116), (11121), (11155),
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #509.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11156)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11156) implies:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11157)  op(e2, e2) = e1
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10992), (11157), (function-axioms) are
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11158)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11158) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11159)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11159) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11160)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10958), (11049), (11160), (function-axioms)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #464.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11161)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11161) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11162)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11162) implies:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11163)  op(e0, e0) = e1
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10958), (11163), (function-axioms) are
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11164)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11164) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11165)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11165) implies:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11166)  op(e3, e0) = e3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (120), (168), (169), (236),
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11001), (11062), (11166),
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1911.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11167)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11167) implies:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11168)  op(e3, e0) = e3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (120), (168), (169), (236),
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11001), (11062), (11168),
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1911.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11169)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11169) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11170)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10978), (11170), (function-axioms) are
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11171)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11171) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11172)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11172) implies:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11173)   ~ (all_57_13 = e1)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11174)  op(e1, e0) = all_57_13
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11094), (11173), (11174), (function-axioms) are
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11175)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11175) gives:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11176)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11176) implies:
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11177)  op(e2, e2) = e0
% 189.94/29.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (234), (10978), (11048),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11057), (11062), (11074), (11177),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1915.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11178)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11178) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11179)  op(e0, e0) = all_57_15
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11180)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11180) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11181)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11181) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11182)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11182) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11183)  op(e2, e2) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11183), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11184)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11184) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11185)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11185) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11186)   ~ (all_57_15 = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10958), (11179), (11186), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1276.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11187)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11187) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11188)  op(e0, e2) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10958), (11142), (11188), (function-axioms)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1028.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11189)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11189) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11190)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11190) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11191)  op(e0, e2) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10958), (11142), (11191), (function-axioms)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1028.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11192)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11192) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11193)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11193) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11194)   ~ (all_57_6 = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11195)  op(e3, e1) = all_57_6
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11049), (11194), (11195), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #675.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11196)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11196) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11197)  op(e2, e2) = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10992), (11197), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11198)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (11094), (11198),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #495.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11199)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9857), (11092), (11100), (11199) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #951.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11200)  all_54_11 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11036), (11200) are inconsistent by
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11201)  all_54_6 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11035), (11201) are inconsistent by
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1452.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11202)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10973), (10988), (11034), (11202) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11203)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11203) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11204)  all_56_4 = e0 & op(e3, e1) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11048), (11204) are inconsistent by
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #978.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11205)  all_56_9 = e0 & op(e3, e0) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11001), (11205) are inconsistent by
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1572.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11206)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10952), (11206),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #507.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11207)  all_56_5 = e3 & op(e2, e1) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (200), (269), (10973), (10988),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11034), (11207), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #677.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11208)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11208) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11209)  all_56_8 = e3 & op(e1, e1) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11209) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11210)  op(e1, e1) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (11210), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11211)  all_56_14 = e3 & op(e0, e1) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11211) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11212)  all_56_14 = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11042) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11213)  all_54_11 = e2
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (9861), (11213) are inconsistent by
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11214)   ~ (all_54_11 = e2)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11215)  all_54_11 = e1 | all_54_11 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11216)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11216) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11217)  all_56_0 = e0 & op(e3, e3) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11217) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11218)  op(e3, e3) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10978), (11218), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11219)  all_56_2 = e0 & op(e2, e3) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11045), (11219) are inconsistent by
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1729.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11220)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11220) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11221)  all_56_6 = e0 & op(e1, e3) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11221) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11222)  all_56_6 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11223)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11223) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11224)  all_56_6 = e3 & op(e1, e3) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11224) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11225)  all_56_6 = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11045), (11225), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1458.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11226)  all_56_7 = e3 & op(e1, e2) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11226) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11227)  all_56_7 = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11228)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11228) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11229)  all_56_6 = e1 & op(e1, e3) = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11229) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11230)  op(e1, e3) = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10974), (11230), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11231)  all_56_7 = e1 & op(e1, e2) = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11231) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11232)  all_56_7 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11227), (11232) imply:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11233)  e3 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11233) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11234)  e3 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11045), (11234) imply:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11235)  all_56_2 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11235), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1844.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11236)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11236) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11237)  all_56_8 = e1 & op(e1, e1) = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11237) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11238)  op(e1, e1) = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (165), (169), (219), (9858), (9859),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11212), (11238), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11239)  all_56_11 = e1 & op(e1, e0) = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11239) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11240)  all_56_11 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11215) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11241)  all_54_11 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (11241) imply:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11242)  all_52_14 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11242) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11243)  all_52_14 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11243) imply:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11244)   ~ (all_52_6 = e1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10952), (11243) imply:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11245)   ~ (e3 = e1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9861), (11243) imply:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11246)   ~ (e2 = e1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11247)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11247) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11248)  all_56_4 = e0 & op(e3, e1) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11248) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11249)  all_56_4 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11250)  all_54_4 = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11250) imply:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11251)  all_52_1 = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11251) imply:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11252)   ~ (all_52_2 = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11252) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11253)   ~ (all_52_2 = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11254)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11254) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11255)  all_56_0 = e3 & op(e3, e3) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11255) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11256)  op(e3, e3) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (10974), (11045), (11256),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1216.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11257)  all_56_1 = e3 & op(e3, e2) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11257) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11258)  all_56_1 = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11259)  op(e3, e2) = e3
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11260)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (10975), (10992), (11260),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1766.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11261)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11261) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11262)  all_56_7 = e1 & op(e1, e2) = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11262) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11263)  op(e1, e2) = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11244), (11263), (function-axioms) are
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11264)  all_56_13 = e1 & op(e0, e2) = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11264) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11265)  all_56_13 = e1
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11266)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11266) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11267)  all_56_2 = e0 & op(e2, e3) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11267) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11268)  all_56_2 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11222), (11253), (11268),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1176.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11269)  all_56_3 = e0 & op(e2, e2) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11269) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11270)  op(e2, e2) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (11227), (11259), (11265),
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11270), (function-axioms) are inconsistent by
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1923.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11271)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11271) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11272)  all_56_5 = e0 & op(e2, e1) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11272) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11273)  all_56_5 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11029), (11273) are inconsistent by
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1842.
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11274)  all_56_10 = e0 & op(e2, e0) = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11274) implies:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11275)  all_56_10 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11276)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11276) gives:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11277)  all_56_1 = e0 & op(e3, e2) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11277) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11278)  all_56_1 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11258), (11278) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11279)  e3 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11045), (11279) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11280)  all_56_2 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11222), (11253), (11280),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1176.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11281)  all_56_3 = e0 & op(e2, e2) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11281) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11282)  op(e2, e2) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (222),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (229), (233), (235), (373), (10978),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10990), (11275), (11282), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1410.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11283)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11283) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11284)  all_56_7 = e0 & op(e1, e2) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11284) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11285)  all_56_7 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11227), (11285) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11286)  e3 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11045), (11286) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11287)  all_56_2 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11222), (11253), (11287),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1176.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11288)  all_56_13 = e0 & op(e0, e2) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11265), (11288) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1867.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11289)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11289) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11290)  all_56_4 = e3 & op(e3, e1) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11290) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11291)  all_56_4 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11249), (11291) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11292)  e3 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11292) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11293)  e3 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11045), (11293) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11294)  all_56_2 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11222), (11253), (11294),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1176.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11295)  all_56_9 = e3 & op(e3, e0) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11295) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11296)  op(e3, e0) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10950), (11296), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11297)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10973), (10988), (11034), (11297) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11298)  all_56_5 = e0 & op(e2, e1) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11029), (11298) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #849.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11299)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11299) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11300)  all_56_8 = e0 & op(e1, e1) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11300) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11301)  op(e1, e1) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (11222),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11240), (11301), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1575.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11302)  all_56_14 = e0 & op(e0, e1) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11212), (11302) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1745.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11303)  all_54_11 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11036), (11303) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11304)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10952), (11304),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #507.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11305)  all_56_12 = e0 & op(e0, e3) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11305) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11306)  all_56_12 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10997), (11306) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1852.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11307)  all_56_3 = e3 & op(e2, e2) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11307) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11308)  op(e2, e2) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11308), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11309)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11309) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11310)  all_56_5 = e3 & op(e2, e1) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (200), (269), (10973), (10988),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11034), (11310), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #677.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11311)  all_56_10 = e3 & op(e2, e0) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10951), (11311), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | |   (11312)  all_56_10 = e1 & op(e2, e0) = e1
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11312) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | |   (11313)  all_56_10 = e1
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (206), (10958), (11001), (11003), (11009),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | |            (11013), (11014), (11015), (11025), (11313),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | |            #485.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |   (11314)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | ALPHA: (11314) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |   (11315)   ~ (all_18_1 = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |   (11316)  op(e0, e3) = all_18_1
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_18_1,
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (10998), (11316) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |   (11317)  all_18_1 = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | REDUCE: (11315), (11317) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |   (11318)  $false
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | CLOSE: (11318) is inconsistent.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | |   (11319)  all_56_10 = e2 & op(e2, e0) = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | ALPHA: (11319) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | |   (11320)  op(e2, e0) = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10990), (11320), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | |   (11321)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.94/29.54  | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9861), (10958), (11321),
% 189.94/29.54  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.54  | | | | | | | | | | | | | | | | |            #483.
% 189.94/29.54  | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | |   (11322)  all_54_5 = e1 | all_54_5 = e0
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | REF_CLOSE: (268), (10960), (10980), (11322) are inconsistent
% 189.94/29.54  | | | | | | | | | | | | | |            by sub-proof #1941.
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | |   (11323)  all_32_2 = e0
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | COMBINE_EQS: (314), (11323) imply:
% 189.94/29.54  | | | | | | | | | | | |   (11324)  all_4_2 = e0
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | SIMP: (11324) implies:
% 189.94/29.54  | | | | | | | | | | | |   (11325)  all_4_2 = e0
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | COMBINE_EQS: (309), (11325) imply:
% 189.94/29.54  | | | | | | | | | | | |   (11326)  all_36_2 = e0
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | REDUCE: (349), (11325) imply:
% 189.94/29.54  | | | | | | | | | | | |   (11327)   ~ (all_52_1 = e0)
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | REDUCE: (352), (11325) imply:
% 189.94/29.54  | | | | | | | | | | | |   (11328)   ~ (all_52_4 = e0)
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | REDUCE: (356), (11325) imply:
% 189.94/29.54  | | | | | | | | | | | |   (11329)   ~ (all_52_7 = e0)
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | REDUCE: (358), (11325) imply:
% 189.94/29.54  | | | | | | | | | | | |   (11330)   ~ (all_52_9 = e0)
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | REDUCE: (360), (11325) imply:
% 189.94/29.54  | | | | | | | | | | | |   (11331)   ~ (all_52_13 = e0)
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | REDUCE: (373), (11325) imply:
% 189.94/29.54  | | | | | | | | | | | |   (11332)   ~ (e3 = e0)
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | REDUCE: (10960), (11325) imply:
% 189.94/29.54  | | | | | | | | | | | |   (11333)   ~ (e1 = e0)
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | REDUCE: (36), (11325) imply:
% 189.94/29.54  | | | | | | | | | | | |   (11334)  op(e2, e2) = e0
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | BETA: splitting (190) gives:
% 189.94/29.54  | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | |   (11335)  all_54_14 = e3
% 189.94/29.54  | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | COMBINE_EQS: (247), (11335) imply:
% 189.94/29.54  | | | | | | | | | | | | |   (11336)  all_52_11 = e3
% 189.94/29.54  | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | REDUCE: (10949), (11336) imply:
% 189.94/29.54  | | | | | | | | | | | | |   (11337)  $false
% 189.94/29.54  | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | CLOSE: (11337) is inconsistent.
% 189.94/29.54  | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | |   (11338)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 189.94/29.54  | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | BETA: splitting (202) gives:
% 189.94/29.54  | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | |   (11339)  all_54_2 = e3
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | COMBINE_EQS: (271), (11339) imply:
% 189.94/29.54  | | | | | | | | | | | | | |   (11340)  all_52_8 = e3
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | SIMP: (11340) implies:
% 189.94/29.54  | | | | | | | | | | | | | |   (11341)  all_52_8 = e3
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | REDUCE: (134), (11341) imply:
% 189.94/29.54  | | | | | | | | | | | | | |   (11342)   ~ (all_52_4 = e3)
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | REDUCE: (123), (11341) imply:
% 189.94/29.54  | | | | | | | | | | | | | |   (11343)   ~ (all_52_9 = e3)
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | SIMP: (11343) implies:
% 189.94/29.54  | | | | | | | | | | | | | |   (11344)   ~ (all_52_9 = e3)
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | REDUCE: (121), (11341) imply:
% 189.94/29.54  | | | | | | | | | | | | | |   (11345)   ~ (all_52_11 = e3)
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | REDUCE: (120), (11341) imply:
% 189.94/29.54  | | | | | | | | | | | | | |   (11346)   ~ (all_52_12 = e3)
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 189.94/29.54  | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | |   (11347)  all_54_1 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | REF_CLOSE: (272), (11342), (11347) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | |            sub-proof #1763.
% 189.94/29.54  | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | |   (11348)   ~ (all_54_1 = e3)
% 189.94/29.54  | | | | | | | | | | | | | | |   (11349)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | BETA: splitting (11349) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | |   (11350)  all_54_1 = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11350) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | |   (11351)  all_52_4 = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | SIMP: (11351) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | |   (11352)  all_52_4 = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | REDUCE: (135), (11352) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | |   (11353)   ~ (all_52_7 = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | SIMP: (11353) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | |   (11354)   ~ (all_52_7 = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | REDUCE: (133), (11352) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | |   (11355)   ~ (all_52_12 = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | SIMP: (11355) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | |   (11356)   ~ (all_52_12 = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | REDUCE: (11342), (11352) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | |   (11357)   ~ (e3 = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | |   (11358)  all_54_6 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11344), (11358) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 189.94/29.54  | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | |   (11359)   ~ (all_54_6 = e3)
% 189.94/29.54  | | | | | | | | | | | | | | | | |   (11360)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | |   (11361)  all_54_3 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10950), (11361) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | |   (11362)   ~ (all_54_3 = e3)
% 189.94/29.54  | | | | | | | | | | | | | | | | | |   (11363)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |   (11364)  all_54_13 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (11364) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |   (11365)  all_52_7 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | REDUCE: (10948), (11365) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |   (11366)  $false
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | CLOSE: (11366) is inconsistent.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |   (11367)   ~ (all_54_13 = e3)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | |   (11368)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | |   (11369)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | BETA: splitting (11369) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | |   (11370)  all_56_0 = e2 & op(e3, e3) = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | ALPHA: (11370) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | |   (11371)  op(e3, e3) = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10978), (11371), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | |   (11372)  all_56_1 = e2 & op(e3, e2) = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | ALPHA: (11372) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | |   (11373)  all_56_1 = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | |   (11374)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11374) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | |   (11375)  all_56_2 = e3 & op(e2, e3) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11375) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | |   (11376)  all_56_2 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | |   (11377)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11377) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (11378)  all_56_9 = e2 & op(e3, e0) = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11356), (11378), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (11379)  all_56_10 = e2 & op(e2, e0) = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11379) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (11380)  all_56_10 = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (11381)  op(e2, e0) = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11360) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11382)  all_54_6 = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9859), (11382) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1467.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11383)   ~ (all_54_6 = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11384)  all_54_6 = e1 | all_54_6 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11385)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11385) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11386)  all_56_1 = e3 & op(e3, e2) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11386) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11387)  op(e3, e2) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (168), (169), (234), (9858), (10978),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11356), (11387), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11388)  all_56_3 = e3 & op(e2, e2) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11388) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11389)  op(e2, e2) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11389), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11390)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11390) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11391)  all_56_7 = e3 & op(e1, e2) = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11391) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11392)  all_56_7 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11393)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (10975), (11334), (11393),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1908.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11394)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11394) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11395)  all_56_7 = e1 & op(e1, e2) = e1
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11376), (11392), (11395),
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #466.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11396)  all_56_13 = e1 & op(e0, e2) = e1
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11396) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11397)  all_56_13 = e1
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11363) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11398)  all_54_3 = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11356), (11398) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1689.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11399)  all_54_3 = e1 | all_54_3 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11400)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11400) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11401)  all_56_12 = e2 & op(e0, e3) = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11401) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11402)  all_56_12 = e2
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11403)  all_56_15 = e0 & op(e0, e0) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11403) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11404)  op(e0, e0) = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10958), (11404), (function-axioms) are
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11405)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11405) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11406)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11407)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11384) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11408)  all_54_6 = e1
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11408) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11409)  all_52_9 = e1
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11409) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11410)  all_52_9 = e1
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11410) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11411)   ~ (all_52_11 = e1)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11411) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11412)   ~ (all_52_11 = e1)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11410) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11413)   ~ (all_52_13 = e1)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11413) implies:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11414)   ~ (all_52_13 = e1)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11344), (11410) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11415)   ~ (e3 = e1)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9859), (11410) imply:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11416)   ~ (e2 = e1)
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11417)  all_54_7 = e3
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10951), (11417) are inconsistent by
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11418)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11419)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11419) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11420)  all_56_4 = e3 & op(e3, e1) = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11420) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11421)  all_56_4 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11422)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11422) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11423)  all_56_6 = e1 & op(e1, e3) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11423) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11424)  op(e1, e3) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10974), (11424), (function-axioms) are
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11425)  all_56_7 = e1 & op(e1, e2) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11376), (11392), (11425),
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #466.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11426)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11426) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11427)  all_56_8 = e1 & op(e1, e1) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11427) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11428)  op(e1, e1) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (11428), (function-axioms) are
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11429)  all_56_11 = e1 & op(e1, e0) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11429) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11430)  op(e1, e0) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11431)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11431) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11432)  all_56_4 = e1 & op(e3, e1) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11432) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11433)  op(e3, e1) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10976), (11433), (function-axioms) are
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11434)  all_56_5 = e1 & op(e2, e1) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11434) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11435)  all_56_5 = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11368) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11436)  all_54_13 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (11354), (11436) are inconsistent by
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1444.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11437)  all_54_13 = e1 | all_54_13 = e0
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11338) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11438)  all_54_14 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (11438) are inconsistent by
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1740.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11439)   ~ (all_54_14 = e2)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11440)  all_54_14 = e1 | all_54_14 = e0
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11407) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11441)  all_56_9 = e0 & op(e3, e0) = e0
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11441) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11442)  all_56_9 = e0
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11440) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11443)  all_54_14 = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11412), (11443) are inconsistent by
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1739.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11444)  all_54_14 = e0
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11444) imply:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11445)  all_52_11 = e0
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11445) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11446)  all_52_11 = e0
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (11446) imply:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11447)   ~ (all_52_3 = e0)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9860), (11446) imply:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11448)   ~ (e2 = e0)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11449)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11449) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11450)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11450) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11451)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11451) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11452)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11452) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11453)  op(e3, e2) = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10978), (11369), (11453),
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1211.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11454)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11454) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11455)  all_56_4 = e2 & op(e3, e1) = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11455) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11456)  all_56_4 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11421), (11456) imply:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11457)  e3 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11376), (11457) imply:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11458)  all_56_2 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (11380), (11435),
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11458), (function-axioms) are inconsistent by
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1398.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11459)  all_56_9 = e2 & op(e3, e0) = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11442), (11459) are inconsistent by
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1102.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11460)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11460) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11461)  op(e2, e2) = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11461), (function-axioms) are
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11462)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11462) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11463)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11463) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11464)  op(e1, e3) = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11418) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11465)  all_54_7 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11465) imply:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11466)  all_52_13 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11466) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11467)  all_52_13 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11467) imply:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11468)   ~ (all_52_1 = e2)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (200), (269), (10973), (11327),
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11464), (11468), (function-axioms) are
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #462.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11469)  all_54_7 = e1 | all_54_7 = e0
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11331), (11414), (11469) are inconsistent
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1376.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11470)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11470) implies:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11471)  op(e1, e3) = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10974), (11471), (function-axioms) are
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11472)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11472) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11473)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (10978), (11447), (11473),
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1891.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11474)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (128), (162), (248), (11329), (11334),
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11437), (11474), (function-axioms) are
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #508.
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11475)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11475) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11476)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11476) gives:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11477)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (9862), (11331), (11430), (11477),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #461.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11478)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (157), (160), (270), (10977), (11399),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11412), (11478), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #993.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11479)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11479) gives:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11480)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11480) gives:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11481)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11481) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11482)  op(e3, e3) = e3
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (10974), (11376), (11482),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1216.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11483)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11483) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11484)  op(e2, e2) = e2
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (11373), (11392), (11397),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11484), (function-axioms) are inconsistent by
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1786.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11485)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (11430), (11485),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #495.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11486)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11486) gives:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11487)  all_56_10 = e0 & op(e2, e0) = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11487) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11488)  op(e2, e0) = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11331), (11488), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11489)  all_56_11 = e0 & op(e1, e0) = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11489) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11490)  op(e1, e0) = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (10977), (11399), (11490),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1687.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11491)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (9862), (11412), (11491),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #460.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11492)  all_56_5 = e3 & op(e2, e1) = e3
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11492) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11493)  op(e2, e1) = e3
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11344), (11493), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11494)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11494) gives:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11495)  all_56_8 = e3 & op(e1, e1) = e3
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11495) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11496)  op(e1, e1) = e3
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (11496), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11497)  all_56_14 = e3 & op(e0, e1) = e3
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11497) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11498)  all_56_14 = e3
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11499)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11499) gives:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11500)  all_56_4 = e1 & op(e3, e1) = e1
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11500) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11501)  op(e3, e1) = e1
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10976), (11501), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11502)  all_56_5 = e1 & op(e2, e1) = e1
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11502) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11503)  all_56_5 = e1
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11406) gives:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11504)  all_56_12 = e0 & op(e0, e3) = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11504) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11505)  all_56_12 = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11402), (11505) imply:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11506)  e2 = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11373), (11506) imply:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11507)  all_56_1 = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (168), (227), (234),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (10950), (10978), (11334), (11392),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11397), (11507), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1073.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11508)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11508) gives:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11509)  all_56_13 = e0 & op(e0, e2) = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11509) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11510)  op(e0, e2) = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11329), (11510), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11511)  all_56_14 = e0 & op(e0, e1) = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11511) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11512)  all_56_14 = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11498), (11512) imply:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11513)  e3 = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11376), (11513) imply:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11514)  all_56_2 = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (36), (85), (224), (373), (11326),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11381), (11503), (11514), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1705.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11515)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11515) gives:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11516)  all_56_8 = e1 & op(e1, e1) = e1
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11516) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11517)  op(e1, e1) = e1
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (165), (169), (219), (9858), (9859),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11498), (11517), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11518)  all_56_14 = e1 & op(e0, e1) = e1
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11518) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11519)  op(e0, e1) = e1
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (11412), (11519), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1885.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11520)  all_54_6 = e0
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11330), (11520) are inconsistent by
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1452.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11521)  all_56_13 = e2 & op(e0, e2) = e2
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11521) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11522)  all_56_13 = e2
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11397), (11522) are inconsistent by
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1916.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11523)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (9860), (10958), (11523),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #469.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11524)  all_56_13 = e3 & op(e0, e2) = e3
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11524) implies:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11525)  op(e0, e2) = e3
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10948), (11525), (function-axioms) are
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | |   (11526)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9861), (10958), (11526),
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | |            #483.
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 189.94/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (11527)  all_56_3 = e3 & op(e2, e2) = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11527) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (11528)  op(e2, e2) = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11528), (function-axioms) are
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | |   (11529)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (10951), (11344), (11529),
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | |            #1455.
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | |   (11530)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | BETA: splitting (11530) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | |   (11531)  all_56_4 = e2 & op(e3, e1) = e2
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (11531), (function-axioms) are
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | |   (11532)  all_56_9 = e2 & op(e3, e0) = e2
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11356), (11532), (function-axioms) are
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56  | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | End of split
% 190.19/29.56  | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | End of split
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | |   (11533)  all_54_1 = e1 | all_54_1 = e0
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10975), (11328), (11533) are inconsistent
% 190.19/29.56  | | | | | | | | | | | | | | | |            by sub-proof #1898.
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | End of split
% 190.19/29.56  | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | End of split
% 190.19/29.56  | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | |   (11534)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 190.19/29.56  | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | BETA: splitting (11534) gives:
% 190.19/29.56  | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | |   (11535)  all_54_2 = e2
% 190.19/29.56  | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | REF_CLOSE: (271), (9858), (11535) are inconsistent by
% 190.19/29.56  | | | | | | | | | | | | | | |            sub-proof #1761.
% 190.19/29.56  | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | |   (11536)  all_54_2 = e1 | all_54_2 = e0
% 190.19/29.56  | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | BETA: splitting (11536) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | |   (11537)  all_54_2 = e1
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10976), (11537) are inconsistent by
% 190.19/29.56  | | | | | | | | | | | | | | | |            sub-proof #1760.
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | |   (11538)  all_54_2 = e0
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11538) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | |   (11539)  all_52_8 = e0
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | SIMP: (11539) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | |   (11540)  all_52_8 = e0
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | REDUCE: (123), (11540) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | |   (11541)   ~ (all_52_9 = e0)
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | REDUCE: (121), (11540) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | |   (11542)   ~ (all_52_11 = e0)
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | SIMP: (11542) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | |   (11543)   ~ (all_52_11 = e0)
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | REDUCE: (120), (11540) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | |   (11544)   ~ (all_52_12 = e0)
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | SIMP: (11544) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | |   (11545)   ~ (all_52_12 = e0)
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | |   (11546)  all_54_3 = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10950), (11546) are inconsistent by
% 190.19/29.56  | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 190.19/29.56  | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | |   (11547)   ~ (all_54_3 = e3)
% 190.19/29.56  | | | | | | | | | | | | | | | | |   (11548)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 190.19/29.56  | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | BETA: splitting (11548) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | |   (11549)  all_54_3 = e2
% 190.19/29.56  | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (11549) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | |   (11550)  all_52_12 = e2
% 190.19/29.56  | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | SIMP: (11550) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | | | |   (11551)  all_52_12 = e2
% 190.19/29.56  | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | REDUCE: (133), (11551) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | |   (11552)   ~ (all_52_4 = e2)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | REDUCE: (113), (11551) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | |   (11553)   ~ (all_52_13 = e2)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | SIMP: (11553) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | | | |   (11554)   ~ (all_52_13 = e2)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | |   (11555)  all_54_7 = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10951), (11555) are inconsistent by
% 190.19/29.56  | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | |   (11556)   ~ (all_54_7 = e3)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | |   (11557)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | BETA: splitting (11557) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | |   (11558)  all_54_7 = e2
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11554), (11558) are inconsistent by
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | |   (11559)   ~ (all_54_7 = e2)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | |   (11560)  all_54_7 = e1 | all_54_7 = e0
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | BETA: splitting (11560) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | |   (11561)  all_54_7 = e1
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11561) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | |   (11562)  all_52_13 = e1
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | SIMP: (11562) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | |   (11563)  all_52_13 = e1
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11563) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | |   (11564)   ~ (all_52_9 = e1)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | REDUCE: (11554), (11563) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | |   (11565)   ~ (e2 = e1)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | |   (11566)  all_54_1 = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11566) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | |   (11567)  all_52_4 = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | SIMP: (11567) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | |   (11568)  all_52_4 = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11568) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | |   (11569)   ~ (all_52_6 = e3)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | SIMP: (11569) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | |   (11570)   ~ (all_52_6 = e3)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11568) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | |   (11571)   ~ (all_52_7 = e3)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (11572)  all_54_6 = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11572) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (11573)  all_52_9 = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (11573) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (11574)   ~ (all_52_1 = e3)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11573) imply:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (11575)   ~ (all_52_11 = e3)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | |   (11576)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11576) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (11577)  all_56_1 = e3 & op(e3, e2) = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11577) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (11578)  all_56_1 = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (11579)  op(e3, e2) = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11580)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11334), (11579), (11580),
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1926.
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11581)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11581) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11582)  all_56_7 = e2 & op(e1, e2) = e2
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11582) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11583)  op(e1, e2) = e2
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11584)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (10975), (11334), (11584),
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1908.
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11585)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11585) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11586)  all_56_7 = e1 & op(e1, e2) = e1
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11586) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11587)  op(e1, e2) = e1
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11583), (11587), (function-axioms) are
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11588)  all_56_13 = e1 & op(e0, e2) = e1
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11588) implies:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11589)  all_56_13 = e1
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11590)  op(e0, e2) = e1
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11591)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11591) gives:
% 190.19/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11592)  all_56_0 = e3 & op(e3, e3) = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11592) implies:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11593)  op(e3, e3) = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (10977), (11578), (11593),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #891.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11594)  all_56_2 = e3 & op(e2, e3) = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11594) implies:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11595)  op(e2, e3) = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11596)  all_54_4 = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11574), (11596) are inconsistent by
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11597)   ~ (all_54_4 = e3)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11598)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11598) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11599)  all_54_4 = e2
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11599) imply:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11600)  all_52_1 = e2
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11574), (11600) imply:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11601)   ~ (e3 = e2)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (11600) imply:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11602)  op(e2, e3) = e2
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11595), (11602), (function-axioms) are
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1869.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11603)  all_54_4 = e1 | all_54_4 = e0
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10973), (11327), (11603) are inconsistent
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1830.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11604)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11604) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11605)  all_56_6 = e3 & op(e1, e3) = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11605) implies:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11606)  all_56_6 = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11607)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11607) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11608)  all_56_2 = e1 & op(e2, e3) = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11608) implies:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11609)  all_56_2 = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (10978),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11606), (11609), (function-axioms) are
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1850.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11610)  all_56_3 = e1 & op(e2, e2) = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11610) implies:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11611)  op(e2, e2) = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11334), (11611), (function-axioms) are
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11612)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (117), (120), (121), (125),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (128), (133), (134), (135), (136), (139),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (140), (141), (143), (144), (145), (146), (148),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (149), (157), (158), (159), (160), (162), (163),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (192),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (193), (195), (196), (199), (200), (201), (202),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (206), (211), (213), (215), (216), (217),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (222), (223), (224), (226),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (229), (230), (231), (232), (233),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (238), (239), (249), (250), (258),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (259), (268), (269), (270), (271), (272), (309),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (314), (349), (352), (354), (358), (360), (373),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9862), (10949), (10950), (10951), (10952),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10957), (10958), (10974), (10976), (10977),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11334), (11545), (11554), (11564),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11578), (11579), (11589), (11590), (11612),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #456.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11613)  all_56_12 = e3 & op(e0, e3) = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11613) implies:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11614)  all_56_12 = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11615)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (10978),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11334), (11614), (11615), (function-axioms) are
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1363.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11616)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (117), (120), (121), (125),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (128), (133), (134), (135), (136), (139),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (140), (141), (143), (144), (145), (146), (148),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (149), (157), (158), (159), (160), (162), (163),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (192),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (193), (195), (196), (199), (200), (201), (202),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (206), (211), (213), (215), (216), (217),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (222), (223), (224), (226),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (229), (230), (231), (232), (233),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (238), (239), (249), (250), (258),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (259), (268), (269), (270), (271), (272), (309),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (314), (349), (352), (354), (358), (360), (373),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9862), (10949), (10950), (10951), (10952),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10957), (10958), (10974), (10976), (10977),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10978), (11334), (11545), (11554), (11564),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11578), (11579), (11589), (11590), (11616),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #456.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11617)  all_56_13 = e2 & op(e0, e2) = e2
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11617) implies:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11618)  all_56_13 = e2
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11619)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (10975), (11334), (11619),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1908.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11620)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11620) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11621)  all_56_7 = e1 & op(e1, e2) = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11621) implies:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11622)  all_56_7 = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11338) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11623)  all_54_14 = e2
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (11623) are inconsistent by
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1740.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11624)   ~ (all_54_14 = e2)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11625)  all_54_14 = e1 | all_54_14 = e0
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11625) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11626)  all_54_14 = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11626) imply:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11627)  all_52_11 = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11627) implies:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11628)  all_52_11 = e1
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11628) imply:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11629)   ~ (all_52_7 = e1)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10949), (11628) imply:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11630)   ~ (e3 = e1)
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11631)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (36), (134), (163), (168), (169), (170),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (10974), (10978), (11334), (11545),
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11579), (11631), (function-axioms) are
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #458.
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.19/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11632)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11632) gives:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11633)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11633) gives:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11634)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (10978), (11554), (11579), (11634),
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #526.
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11635)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9862), (10958), (11635),
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #457.
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11636)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11636) gives:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11637)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11637) gives:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11638)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11638) implies:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11639)  op(e3, e3) = e3
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11640)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11578), (11639), (11640), (function-axioms)
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1881.
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11641)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11641) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11642)  all_56_4 = e1 & op(e3, e1) = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11642) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11643)  all_56_4 = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11644)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11644) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11645)  all_56_1 = e0 & op(e3, e2) = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11578), (11645) are inconsistent by
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1878.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11646)  all_56_3 = e0 & op(e2, e2) = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11647)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11578), (11639), (11647), (function-axioms)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1193.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11648)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11648) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11649)  all_56_4 = e2 & op(e3, e1) = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11649) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11650)  all_56_4 = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (232), (10977), (11578), (11639),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11650), (function-axioms) are inconsistent by
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1401.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11651)  all_56_9 = e2 & op(e3, e0) = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11651) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11652)  all_56_9 = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (226),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (230), (373), (11334), (11629),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11639), (11643), (11652), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #455.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11653)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11653) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11654)  all_56_7 = e0 & op(e1, e2) = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11622), (11654) are inconsistent by
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1563.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11655)  all_56_13 = e0 & op(e0, e2) = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11618), (11655) are inconsistent by
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1208.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11656)  all_56_9 = e1 & op(e3, e0) = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11656) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11657)  op(e3, e0) = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10977), (11657), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11658)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11658) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11659)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10978), (11579), (11659), (function-axioms)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1888.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11660)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11660) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11661)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11661) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11662)  op(e1, e1) = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (11662), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11663)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11663) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11664)  op(e0, e0) = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11665)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (227), (228),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (10958), (10978), (11334), (11578),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11622), (11664), (11665), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1209.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11666)  all_54_14 = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11543), (11666) are inconsistent by
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1738.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11667)  all_56_13 = e1 & op(e0, e2) = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11618), (11667) are inconsistent by
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1205.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | |   (11668)  all_56_3 = e3 & op(e2, e2) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11668) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | |   (11669)  op(e2, e2) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (11669), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | |   (11670)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (10948), (11570), (11670),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | |            #454.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | |   (11671)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (9859), (11330), (11564), (11671) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #641.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |   (11672)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10975), (11328), (11552), (11672) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1897.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | |   (11673)  all_54_7 = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11331), (11673) are inconsistent by
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1477.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11674)  all_54_3 = e1 | all_54_3 = e0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10977), (11545), (11674) are inconsistent
% 190.23/29.58  | | | | | | | | | | | | | | | | | |            by sub-proof #1061.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | |   (11675)  all_24_2 = e1
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | COMBINE_EQS: (318), (11675) imply:
% 190.23/29.58  | | | | | | | | | |   (11676)  all_4_2 = e1
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | SIMP: (11676) implies:
% 190.23/29.58  | | | | | | | | | |   (11677)  all_4_2 = e1
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | COMBINE_EQS: (292), (11677) imply:
% 190.23/29.58  | | | | | | | | | |   (11678)  all_44_2 = e1
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | REDUCE: (352), (11677) imply:
% 190.23/29.58  | | | | | | | | | |   (11679)   ~ (all_52_4 = e1)
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | REDUCE: (354), (11677) imply:
% 190.23/29.58  | | | | | | | | | |   (11680)   ~ (all_52_6 = e1)
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | REDUCE: (356), (11677) imply:
% 190.23/29.58  | | | | | | | | | |   (11681)   ~ (all_52_7 = e1)
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | REDUCE: (358), (11677) imply:
% 190.23/29.58  | | | | | | | | | |   (11682)   ~ (all_52_9 = e1)
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | REDUCE: (360), (11677) imply:
% 190.23/29.58  | | | | | | | | | |   (11683)   ~ (all_52_13 = e1)
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | REDUCE: (373), (11677) imply:
% 190.23/29.58  | | | | | | | | | |   (11684)   ~ (e3 = e1)
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | REDUCE: (36), (11677) imply:
% 190.23/29.58  | | | | | | | | | |   (11685)  op(e2, e2) = e1
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | BETA: splitting (70) gives:
% 190.23/29.58  | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | |   (11686)   ~ (all_26_2 = e1)
% 190.23/29.58  | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | REDUCE: (307), (11686) imply:
% 190.23/29.58  | | | | | | | | | | |   (11687)   ~ (all_6_2 = e1)
% 190.23/29.58  | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | BETA: splitting (204) gives:
% 190.23/29.58  | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | |   (11688)  all_54_0 = e3
% 190.23/29.58  | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | COMBINE_EQS: (279), (11688) imply:
% 190.23/29.58  | | | | | | | | | | | |   (11689)  all_6_2 = e3
% 190.23/29.58  | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | REDUCE: (340), (11689) imply:
% 190.23/29.58  | | | | | | | | | | | |   (11690)   ~ (all_52_2 = e3)
% 190.23/29.58  | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | REDUCE: (346), (11689) imply:
% 190.23/29.58  | | | | | | | | | | | |   (11691)   ~ (all_52_8 = e3)
% 190.23/29.58  | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | REDUCE: (39), (11689) imply:
% 190.23/29.58  | | | | | | | | | | | |   (11692)  op(e3, e3) = e3
% 190.23/29.58  | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.23/29.58  | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | |   (11693)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.23/29.58  | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.23/29.58  | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | BETA: splitting (11693) gives:
% 190.23/29.58  | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | |   (11694)  all_56_2 = e3 & op(e2, e3) = e3
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | ALPHA: (11694) implies:
% 190.23/29.58  | | | | | | | | | | | | | |   (11695)  all_56_2 = e3
% 190.23/29.58  | | | | | | | | | | | | | |   (11696)  op(e2, e3) = e3
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | |   (11697)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 190.23/29.58  | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11698)  all_56_6 = e3 & op(e1, e3) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | ALPHA: (11698) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11699)  all_56_6 = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 190.23/29.58  | | | | | | | | | | | | | | | |            (11692), (11695), (11699), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1034.
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11700)  all_56_7 = e3 & op(e1, e2) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | ALPHA: (11700) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11701)  all_56_7 = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | |   (11702)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | BETA: splitting (11702) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11703)  all_56_0 = e2 & op(e3, e3) = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | ALPHA: (11703) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11704)  op(e3, e3) = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11692), (11704), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11705)  all_56_2 = e2 & op(e2, e3) = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | ALPHA: (11705) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11706)  op(e2, e3) = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11696), (11706), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1869.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | |   (11707)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.23/29.58  | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | BETA: splitting (11707) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11708)  all_56_6 = e2 & op(e1, e3) = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | ALPHA: (11708) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11709)  all_56_6 = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (11692),
% 190.23/29.58  | | | | | | | | | | | | | | | | | |            (11695), (11709), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1218.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11710)  all_56_12 = e2 & op(e0, e3) = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | ALPHA: (11710) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11711)  all_56_12 = e2
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | |   (11712)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | BETA: splitting (11712) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |   (11713)  all_56_0 = e1 & op(e3, e3) = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | ALPHA: (11713) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |   (11714)  op(e3, e3) = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11692), (11714), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |   (11715)  all_56_2 = e1 & op(e2, e3) = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | ALPHA: (11715) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |   (11716)  all_56_2 = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (164), (165), (221),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |            (223), (224), (9859), (10951), (11685), (11716),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |            #471.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | |   (11717)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | BETA: splitting (11717) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |   (11718)  all_56_6 = e1 & op(e1, e3) = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | ALPHA: (11718) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |   (11719)  all_56_6 = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | |   (11720)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11720) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |   (11721)  all_56_4 = e3 & op(e3, e1) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11721) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |   (11722)  op(e3, e1) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11691), (11722), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |   (11723)  all_56_5 = e3 & op(e2, e1) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11723) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |   (11724)  all_56_5 = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (11685),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |            (11695), (11724), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #453.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | |   (11725)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11725) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |   (11726)  all_56_8 = e3 & op(e1, e1) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11726) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |   (11727)  op(e1, e1) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (11701),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |            (11719), (11727), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1772.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |   (11728)  all_56_14 = e3 & op(e0, e1) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11728) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |   (11729)  all_56_14 = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (158), (207), (10958), (11681), (11711),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |            (11729), (function-axioms) are inconsistent by
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1039.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |   (11730)  all_56_12 = e1 & op(e0, e3) = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | ALPHA: (11730) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |   (11731)  all_56_12 = e1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |            (11692), (11695), (11731), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1217.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | |   (11732)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 190.23/29.58  | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10952), (11732),
% 190.23/29.58  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.58  | | | | | | | | | | | | | | |            #507.
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | |   (11733)  all_56_3 = e3 & op(e2, e2) = e3
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | ALPHA: (11733) implies:
% 190.23/29.58  | | | | | | | | | | | | | |   (11734)  op(e2, e2) = e3
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | REF_CLOSE: (8), (11685), (11734), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | End of split
% 190.23/29.58  | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | |   (11735)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.23/29.58  | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.23/29.58  | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | BETA: splitting (11735) gives:
% 190.23/29.58  | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | |   (11736)  all_56_5 = e3 & op(e2, e1) = e3
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | ALPHA: (11736) implies:
% 190.23/29.58  | | | | | | | | | | | | | |   (11737)  all_56_5 = e3
% 190.23/29.58  | | | | | | | | | | | | | |   (11738)  op(e2, e1) = e3
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 190.23/29.58  | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | |   (11739)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 190.23/29.58  | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | BETA: splitting (11739) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11740)  all_56_6 = e3 & op(e1, e3) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | ALPHA: (11740) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11741)  op(e1, e3) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11690), (11741), (function-axioms) are
% 190.23/29.58  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11742)  all_56_7 = e3 & op(e1, e2) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | ALPHA: (11742) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11743)  all_56_7 = e3
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11744)  op(e1, e2) = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 190.23/29.58  | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (11744) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11745)  all_52_6 = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 190.23/29.58  | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (11738) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11746)  all_52_9 = e3
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | REDUCE: (136), (11745) imply:
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11747)   ~ (all_52_4 = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | REDUCE: (128), (11745) imply:
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11748)   ~ (all_52_7 = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | REDUCE: (118), (11746) imply:
% 190.23/29.58  | | | | | | | | | | | | | | | |   (11749)   ~ (all_52_11 = e3)
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | |   (11750)   ~ (all_34_2 = e2)
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | REDUCE: (9855), (11750) imply:
% 190.23/29.58  | | | | | | | | | | | | | | | | |   (11751)  $false
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | CLOSE: (11751) is inconsistent.
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | |   (11752)  ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0
% 190.23/29.58  | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_34_1 & $i(all_34_0) &
% 190.23/29.58  | | | | | | | | | | | | | | | | |              $i(all_34_1)) | ( ~ (all_34_1 = e3) & op(e1, e2)
% 190.23/29.58  | | | | | | | | | | | | | | | | |              = all_34_1 & $i(all_34_1))
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11753)   ~ (all_44_2 = e1)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | REDUCE: (11678), (11753) imply:
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11754)  $false
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | CLOSE: (11754) is inconsistent.
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | |   (11755)  ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0
% 190.23/29.58  | | | | | | | | | | | | | | | | | |              & op(e2, e1) = all_44_1 & $i(all_44_0) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | |              $i(all_44_1)) | ( ~ (all_44_1 = e3) & op(e2, e1)
% 190.23/29.58  | | | | | | | | | | | | | | | | | |              = all_44_1 & $i(all_44_1))
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | BETA: splitting (11755) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | |   (11756)   ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_44_1 & $i(all_44_0) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | |            $i(all_44_1)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | ALPHA: (11756) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | |   (11757)   ~ (all_44_0 = e0)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | |   (11758)  op(e2, e1) = all_44_1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | |   (11759)  op(all_44_1, e2) = all_44_0
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | BETA: splitting (9854) gives:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |   (11760)   ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_10_1 & $i(all_10_0) &
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | ALPHA: (11760) implies:
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | |   (11761)  op(e1, e2) = all_10_1
% 190.23/29.58  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (125), (135), (139), (140), (158),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (159), (162), (165), (170), (190), (191), (203),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (204), (213), (215), (221), (223), (231), (239),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (247), (248), (272), (279), (374), (9859), (9860),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (9862), (9864), (10948), (10949), (10958),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (11679), (11680), (11681), (11685), (11687),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (11692), (11737), (11738), (11743), (11744),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (11747), (11752), (11757), (11758), (11759),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (11761), (function-axioms) are inconsistent by
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            sub-proof #449.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11762)   ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 &
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | ALPHA: (11762) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11763)  op(e1, e2) = all_10_1
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (125), (135), (139), (140), (158),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (159), (162), (165), (170), (190), (191), (203),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (204), (213), (215), (221), (223), (231), (239),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (247), (248), (272), (279), (374), (9859), (9860),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (9862), (9864), (10948), (10949), (10958),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (11679), (11680), (11681), (11685), (11687),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (11692), (11737), (11738), (11743), (11744),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (11747), (11752), (11757), (11758), (11759),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            (11763), (function-axioms) are inconsistent by
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            sub-proof #449.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |   (11764)   ~ (all_44_1 = e3) & op(e2, e1) = all_44_1 &
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |            $i(all_44_1)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | ALPHA: (11764) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |   (11765)   ~ (all_44_1 = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |   (11766)  op(e2, e1) = all_44_1
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11738), (11765), (11766), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1042.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | |   (11767)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 190.23/29.59  | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10952), (11767),
% 190.23/29.59  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.59  | | | | | | | | | | | | | | |            #507.
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | |   (11768)  all_56_10 = e3 & op(e2, e0) = e3
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | REF_CLOSE: (164), (10951), (11768), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | |   (11769)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 190.23/29.59  | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | REF_CLOSE: (279), (374), (9864), (11687), (11769) are
% 190.23/29.59  | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 190.23/29.59  | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | |   (11770)  all_26_2 = e1
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | COMBINE_EQS: (307), (11770) imply:
% 190.23/29.59  | | | | | | | | | | |   (11771)  all_6_2 = e1
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | SIMP: (11771) implies:
% 190.23/29.59  | | | | | | | | | | |   (11772)  all_6_2 = e1
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | REDUCE: (338), (11772) imply:
% 190.23/29.59  | | | | | | | | | | |   (11773)   ~ (all_52_1 = e1)
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | REDUCE: (340), (11772) imply:
% 190.23/29.59  | | | | | | | | | | |   (11774)   ~ (all_52_2 = e1)
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | REDUCE: (342), (11772) imply:
% 190.23/29.59  | | | | | | | | | | |   (11775)   ~ (all_52_3 = e1)
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | REDUCE: (346), (11772) imply:
% 190.23/29.59  | | | | | | | | | | |   (11776)   ~ (all_52_8 = e1)
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | REDUCE: (348), (11772) imply:
% 190.23/29.59  | | | | | | | | | | |   (11777)   ~ (all_52_12 = e1)
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | REDUCE: (9864), (11772) imply:
% 190.23/29.59  | | | | | | | | | | |   (11778)   ~ (e2 = e1)
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | REDUCE: (39), (11772) imply:
% 190.23/29.59  | | | | | | | | | | |   (11779)  op(e3, e3) = e1
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | BETA: splitting (214) gives:
% 190.23/29.59  | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | |   (11780)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 190.23/29.59  | | | | | | | | | | | |              & op(e1, e2) = e1)
% 190.23/29.59  | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | REF_CLOSE: (162), (163), (11680), (11774), (11780),
% 190.23/29.59  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.59  | | | | | | | | | | | |            #1322.
% 190.23/29.59  | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | |   (11781)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 190.23/29.59  | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 190.23/29.59  | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | BETA: splitting (11781) gives:
% 190.23/29.59  | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | |   (11782)  all_56_8 = e1 & op(e1, e1) = e1
% 190.23/29.59  | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | ALPHA: (11782) implies:
% 190.23/29.59  | | | | | | | | | | | | |   (11783)  op(e1, e1) = e1
% 190.23/29.59  | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (11783), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 190.23/29.59  | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | |   (11784)  all_56_11 = e1 & op(e1, e0) = e1
% 190.23/29.59  | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | ALPHA: (11784) implies:
% 190.23/29.59  | | | | | | | | | | | | |   (11785)  all_56_11 = e1
% 190.23/29.59  | | | | | | | | | | | | |   (11786)  op(e1, e0) = e1
% 190.23/29.59  | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | BETA: splitting (218) gives:
% 190.23/29.59  | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | |   (11787)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 190.23/29.59  | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | BETA: splitting (11787) gives:
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | |   (11788)  all_56_4 = e1 & op(e3, e1) = e1
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | ALPHA: (11788) implies:
% 190.23/29.59  | | | | | | | | | | | | | | |   (11789)  op(e3, e1) = e1
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | REF_CLOSE: (169), (11776), (11789), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | |   (11790)  all_56_5 = e1 & op(e2, e1) = e1
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | ALPHA: (11790) implies:
% 190.23/29.59  | | | | | | | | | | | | | | |   (11791)  op(e2, e1) = e1
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | REF_CLOSE: (165), (11682), (11791), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | |   (11792)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 190.23/29.59  | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | BETA: splitting (11792) gives:
% 190.23/29.59  | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | |   (11793)  all_56_8 = e1 & op(e1, e1) = e1
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | ALPHA: (11793) implies:
% 190.23/29.59  | | | | | | | | | | | | | | |   (11794)  op(e1, e1) = e1
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (11794), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | |   (11795)  all_56_14 = e1 & op(e0, e1) = e1
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | ALPHA: (11795) implies:
% 190.23/29.59  | | | | | | | | | | | | | | |   (11796)  all_56_14 = e1
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | |   (11797)  all_54_6 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11797) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | |   (11798)  all_52_9 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | REDUCE: (123), (11798) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | |   (11799)   ~ (all_52_8 = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | REDUCE: (117), (11798) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | |   (11800)   ~ (all_52_13 = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | |   (11801)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | BETA: splitting (11801) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11802)  all_56_0 = e3 & op(e3, e3) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | ALPHA: (11802) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11803)  op(e3, e3) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11779), (11803), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11804)  all_56_1 = e3 & op(e3, e2) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | ALPHA: (11804) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11805)  all_56_1 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11806)  op(e3, e2) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |   (11807)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | BETA: splitting (11807) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11808)  all_56_2 = e3 & op(e2, e3) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | ALPHA: (11808) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11809)  all_56_2 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11810)  op(e2, e3) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |   (11811)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11779), (11806), (11811),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |            #1211.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |   (11812)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11812) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |   (11813)  all_56_4 = e2 & op(e3, e1) = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (11813), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |   (11814)  all_56_9 = e2 & op(e3, e0) = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11814) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |   (11815)  all_56_9 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |   (11816)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (11779), (11805), (11816),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |            #1131.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |   (11817)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11817) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11818)  all_56_4 = e0 & op(e3, e1) = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11818) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11819)  all_56_4 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (11820)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11779), (11810), (11820),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | |            #1862.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (11821)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11821) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11822)  all_56_6 = e2 & op(e1, e3) = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (11822), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11823)  all_56_12 = e2 & op(e0, e3) = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11823) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11824)  all_56_12 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11825)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11825) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11826)  all_56_4 = e3 & op(e3, e1) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11826) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11827)  op(e3, e1) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (170), (11806), (11827),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #497.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11828)  all_56_5 = e3 & op(e2, e1) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11828) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11829)  all_56_5 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (134), (157),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (165), (169), (170), (206), (208), (213),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (223), (227), (230), (232),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (234), (235), (239), (373), (9859), (9860),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9862), (10958), (11685), (11774), (11776),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11779), (11785), (11786), (11796), (11805),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11806), (11819), (11829), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #447.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11830)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11830) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11831)  all_56_8 = e3 & op(e1, e1) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11831) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11832)  op(e1, e1) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (67), (79),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (117), (139), (157), (159), (162), (163),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (168), (169), (199), (206), (207),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (210), (213), (214), (217), (218), (219),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (222), (223), (224), (226), (227), (228),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (232), (233), (234), (235), (238),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (268), (309), (314), (318), (354), (358),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (360), (373), (10950), (10951), (10957), (10958),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11774), (11775), (11776), (11777), (11779),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11799), (11805), (11806), (11809), (11810),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11832), (function-axioms) are inconsistent by
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1182.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11833)  all_56_14 = e3 & op(e0, e1) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11833) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11834)  all_56_14 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (158), (207), (10958), (11681), (11824),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11834), (function-axioms) are inconsistent by
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1039.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11835)  all_56_9 = e0 & op(e3, e0) = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11835) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11836)  all_56_9 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11815), (11836) are inconsistent by
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1919.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11837)  all_56_3 = e3 & op(e2, e2) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | ALPHA: (11837) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11838)  op(e2, e2) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11685), (11838), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |   (11839)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | BETA: splitting (11839) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11840)  all_56_5 = e3 & op(e2, e1) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | ALPHA: (11840) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11841)  all_56_5 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |   (11842)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11779), (11806), (11842),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |            #1211.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |   (11843)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11843) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |   (11844)  all_56_4 = e2 & op(e3, e1) = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9858), (11844), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |   (11845)  all_56_9 = e2 & op(e3, e0) = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11845) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |   (11846)  all_56_9 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |   (11847)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (11779), (11805), (11847),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |            #1131.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |   (11848)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11848) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11849)  all_56_4 = e0 & op(e3, e1) = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11849) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11850)  all_56_4 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (134), (157),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |            (163), (165), (169), (170), (206), (208), (213),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (223), (227), (230), (232),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |            (233), (234), (235), (239), (373), (9859), (9860),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |            (9862), (10958), (11685), (11774), (11776),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |            (11779), (11785), (11786), (11796), (11805),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |            (11806), (11841), (11850), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #447.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11851)  all_56_9 = e0 & op(e3, e0) = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11851) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11852)  all_56_9 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11846), (11852) are inconsistent by
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1919.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11853)  all_56_10 = e3 & op(e2, e0) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10951), (11853), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | |   (11854)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (10950), (11799), (11854),
% 190.23/29.59  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.59  | | | | | | | | | | | | | | | | |            #1296.
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | End of split
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | |   (11855)   ~ (all_54_6 = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | |   (11856)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | REDUCE: (261), (11855) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | |   (11857)   ~ (all_52_9 = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | BETA: splitting (11856) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | |   (11858)  all_54_6 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11858) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | | |   (11859)  all_52_9 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | REDUCE: (9859), (11859) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | | |   (11860)  $false
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | CLOSE: (11860) is inconsistent.
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | |   (11861)   ~ (all_54_6 = e2)
% 190.23/29.59  | | | | | | | | | | | | | | | | |   (11862)  all_54_6 = e1 | all_54_6 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | BETA: splitting (11862) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11863)  all_54_6 = e1
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11863) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11864)  all_52_9 = e1
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | REDUCE: (11682), (11864) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11865)  $false
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | CLOSE: (11865) is inconsistent.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11866)  all_54_6 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11866) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11867)  all_52_9 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | REDUCE: (146), (11867) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11868)   ~ (all_52_1 = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | REDUCE: (117), (11867) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11869)   ~ (all_52_13 = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | SIMP: (11869) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11870)   ~ (all_52_13 = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | REDUCE: (11857), (11867) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11871)   ~ (e3 = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | REDUCE: (9859), (11867) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11872)   ~ (e2 = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | REDUCE: (11682), (11867) imply:
% 190.23/29.59  | | | | | | | | | | | | | | | | | |   (11873)   ~ (e1 = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |   (11874)  all_54_7 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10951), (11874) are inconsistent by
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |   (11875)   ~ (all_54_7 = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | |   (11876)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11877)  all_56_15 = e0 & op(e0, e0) = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | ALPHA: (11877) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11878)  op(e0, e0) = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10958), (11878), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11879)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | ALPHA: (11879) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |   (11880)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |   (11881)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11881) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |   (11882)  all_56_2 = e3 & op(e2, e3) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11882) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |   (11883)  all_56_2 = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | |   (11884)  op(e2, e3) = e3
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |   (11885)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11779), (11884), (11885),
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |            #1862.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |   (11886)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11886) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11887)  all_56_6 = e2 & op(e1, e3) = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (11887), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11888)  all_56_12 = e2 & op(e0, e3) = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11888) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | |   (11889)  all_56_12 = e2
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (11890)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11890) gives:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11891)  all_56_0 = e0 & op(e3, e3) = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11891) implies:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11892)  op(e3, e3) = e0
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11779), (11892), (function-axioms) are
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11893)  all_56_2 = e0 & op(e2, e3) = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11893) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11894)  all_56_2 = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (224), (10951), (11685),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | |            (11857), (11894), (function-axioms) are
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #581.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (11895)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11895) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11896)  all_56_6 = e0 & op(e1, e3) = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11896) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11897)  all_56_6 = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11898)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11898) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11899)  all_56_6 = e3 & op(e1, e3) = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11899) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11900)  all_56_6 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (373), (10951),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11857), (11900), (function-axioms) are
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1454.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11901)  all_56_7 = e3 & op(e1, e2) = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11901) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11902)  all_56_7 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11876) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11903)  all_54_7 = e2
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11903) imply:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11904)  all_52_13 = e2
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11904) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11905)  all_52_13 = e2
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11905) imply:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11906)   ~ (all_52_1 = e2)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11880) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11907)  all_56_12 = e0 & op(e0, e3) = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11889), (11907) are inconsistent by
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1592.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11908)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11908) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11909)  all_56_13 = e0 & op(e0, e2) = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11909) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11910)  op(e0, e2) = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11911)  all_54_4 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11911) imply:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11912)  all_52_1 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11912) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11913)  all_52_1 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11913) imply:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11914)   ~ (all_52_2 = e3)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11914) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11915)   ~ (all_52_2 = e3)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11916)  all_54_8 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (11915), (11916) are inconsistent by
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11917)   ~ (all_54_8 = e3)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11918)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11918) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11919)  all_54_8 = e2
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (9856), (11919) are inconsistent by
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11920)   ~ (all_54_8 = e2)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11921)  all_54_8 = e1 | all_54_8 = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11921) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11922)  all_54_8 = e1
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (11774), (11922) are inconsistent by
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1367.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11923)  all_54_8 = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (11923) imply:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11924)  all_52_2 = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11924) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11925)  all_52_2 = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (11925) imply:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11926)   ~ (all_52_3 = e0)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11926) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11927)   ~ (all_52_3 = e0)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11925) imply:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11928)   ~ (all_52_6 = e0)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11928) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11929)   ~ (all_52_6 = e0)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11930)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11930) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11931)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11931) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11932)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10958), (11685), (11910), (11932),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #674.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11933)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11774), (11915), (11933),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #510.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11934)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11934) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11935)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (11779), (11927), (11935),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1891.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11936)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (195), (258), (9857), (11680), (11929),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11936), (function-axioms) are inconsistent by
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #446.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11937)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11937) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11938)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11938) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11939)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (9862), (11786), (11870), (11939),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #461.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11940)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11940) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11941)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11941) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11942)  op(e1, e1) = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (11774), (11897), (11902), (11942),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1009.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11943)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11943) implies:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11944)  op(e1, e0) = e0
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (11774), (11921), (11944),
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1257.
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11945)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11945) gives:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11946)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11946) gives:
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11947)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11947) implies:
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11948)  op(e3, e3) = e3
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (11774), (11883), (11948),
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1216.
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11949)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11949) implies:
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11950)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10958), (11910), (11950), (function-axioms)
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1028.
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11951)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (11786), (11951),
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.23/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #495.
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11952)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11773), (11868), (11906), (11952) are
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11953)  all_56_14 = e0 & op(e0, e1) = e0
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11796), (11953) are inconsistent by
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1207.
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11954)  all_54_7 = e1 | all_54_7 = e0
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11683), (11870), (11954) are inconsistent
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1376.
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11955)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (10952), (11955),
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #507.
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11956)  all_56_12 = e0 & op(e0, e3) = e0
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11889), (11956) are inconsistent by
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1592.
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | |   (11957)  all_56_3 = e3 & op(e2, e2) = e3
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11957) implies:
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | |   (11958)  op(e2, e2) = e3
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11685), (11958), (function-axioms) are
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | |   (11959)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (10951), (11857), (11959),
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | |            #1455.
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | 
% 190.36/29.61  | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | 
% 190.36/29.61  | | | | | | | End of split
% 190.36/29.61  | | | | | | | 
% 190.36/29.61  | | | | | | End of split
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | Case 2:
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | |   (11960)  all_14_2 = e1
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | | COMBINE_EQS: (327), (11960) imply:
% 190.36/29.61  | | | | | |   (11961)  all_16_2 = e1
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | | REDUCE: (351), (11960) imply:
% 190.36/29.61  | | | | | |   (11962)   ~ (all_52_3 = e1)
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | | REDUCE: (362), (11960) imply:
% 190.36/29.61  | | | | | |   (11963)   ~ (all_52_7 = e1)
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | | REDUCE: (369), (11960) imply:
% 190.36/29.61  | | | | | |   (11964)   ~ (all_52_11 = e1)
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | | REDUCE: (370), (11960) imply:
% 190.36/29.61  | | | | | |   (11965)   ~ (all_52_12 = e1)
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | | REDUCE: (371), (11960) imply:
% 190.36/29.61  | | | | | |   (11966)   ~ (all_52_13 = e1)
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | | REDUCE: (372), (11960) imply:
% 190.36/29.61  | | | | | |   (11967)   ~ (all_52_14 = e1)
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | | REDUCE: (51), (11960) imply:
% 190.36/29.61  | | | | | |   (11968)  op(e0, e0) = e1
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | | BETA: splitting (55) gives:
% 190.36/29.61  | | | | | | 
% 190.36/29.61  | | | | | | Case 1:
% 190.36/29.61  | | | | | | | 
% 190.36/29.61  | | | | | | |   (11969)   ~ (all_16_2 = e1)
% 190.36/29.61  | | | | | | | 
% 190.36/29.61  | | | | | | | REDUCE: (11961), (11969) imply:
% 190.36/29.61  | | | | | | |   (11970)  $false
% 190.36/29.61  | | | | | | | 
% 190.36/29.61  | | | | | | | CLOSE: (11970) is inconsistent.
% 190.36/29.61  | | | | | | | 
% 190.36/29.61  | | | | | | Case 2:
% 190.36/29.61  | | | | | | | 
% 190.36/29.61  | | | | | | |   (11971)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 190.36/29.61  | | | | | | |              op(e0, e1) = all_16_1 & $i(all_16_0) & $i(all_16_1))
% 190.36/29.61  | | | | | | |            | ( ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 190.36/29.61  | | | | | | |              $i(all_16_1))
% 190.36/29.61  | | | | | | | 
% 190.36/29.61  | | | | | | | BETA: splitting (67) gives:
% 190.36/29.61  | | | | | | | 
% 190.36/29.61  | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | 
% 190.36/29.61  | | | | | | | |   (11972)   ~ (all_24_2 = e1)
% 190.36/29.61  | | | | | | | | 
% 190.36/29.61  | | | | | | | | REDUCE: (318), (11972) imply:
% 190.36/29.61  | | | | | | | |   (11973)   ~ (all_4_2 = e1)
% 190.36/29.61  | | | | | | | | 
% 190.36/29.61  | | | | | | | | BETA: splitting (70) gives:
% 190.36/29.61  | | | | | | | | 
% 190.36/29.61  | | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | | 
% 190.36/29.61  | | | | | | | | |   (11974)   ~ (all_26_2 = e1)
% 190.36/29.61  | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | REDUCE: (307), (11974) imply:
% 190.36/29.61  | | | | | | | | |   (11975)   ~ (all_6_2 = e1)
% 190.36/29.61  | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | BETA: splitting (204) gives:
% 190.36/29.61  | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | |   (11976)  all_54_0 = e3
% 190.36/29.61  | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | COMBINE_EQS: (279), (11976) imply:
% 190.36/29.61  | | | | | | | | | |   (11977)  all_6_2 = e3
% 190.36/29.61  | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | SIMP: (11977) implies:
% 190.36/29.61  | | | | | | | | | |   (11978)  all_6_2 = e3
% 190.36/29.61  | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | REDUCE: (344), (11978) imply:
% 190.36/29.61  | | | | | | | | | |   (11979)   ~ (all_52_4 = e3)
% 190.36/29.61  | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | REDUCE: (346), (11978) imply:
% 190.36/29.61  | | | | | | | | | |   (11980)   ~ (all_52_8 = e3)
% 190.36/29.61  | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | REDUCE: (348), (11978) imply:
% 190.36/29.61  | | | | | | | | | |   (11981)   ~ (all_52_12 = e3)
% 190.36/29.61  | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | REDUCE: (39), (11978) imply:
% 190.36/29.61  | | | | | | | | | |   (11982)  op(e3, e3) = e3
% 190.36/29.61  | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | BETA: splitting (238) gives:
% 190.36/29.61  | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | |   (11983)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.36/29.61  | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.61  | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.36/29.61  | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.36/29.61  | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.36/29.61  | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.61  | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.36/29.61  | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.36/29.61  | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.36/29.61  | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.36/29.61  | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.36/29.61  | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.36/29.61  | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.36/29.61  | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.36/29.61  | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.36/29.61  | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.36/29.61  | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.36/29.61  | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.36/29.61  | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.36/29.61  | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.36/29.61  | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.36/29.61  | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.36/29.61  | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.36/29.61  | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.36/29.61  | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.36/29.61  | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.36/29.61  | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.36/29.61  | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.36/29.61  | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.36/29.61  | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.36/29.61  | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.36/29.61  | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.36/29.61  | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.36/29.61  | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.36/29.61  | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.36/29.61  | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.36/29.61  | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.36/29.61  | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | BETA: splitting (11983) gives:
% 190.36/29.61  | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | |   (11984)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.36/29.61  | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.61  | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.36/29.61  | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.36/29.61  | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.36/29.61  | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.61  | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.36/29.61  | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.36/29.61  | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.36/29.61  | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.36/29.61  | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.36/29.61  | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.36/29.61  | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.36/29.61  | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.36/29.61  | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | BETA: splitting (11984) gives:
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | |   (11985)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.36/29.61  | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.36/29.61  | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.36/29.61  | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | REF_CLOSE: (8), (9), (9862), (11968), (11985),
% 190.36/29.61  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.61  | | | | | | | | | | | | |            #445.
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | |   (11986)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.36/29.61  | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.36/29.61  | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.36/29.61  | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.36/29.61  | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.36/29.61  | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.36/29.61  | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (11968), (11986),
% 190.36/29.61  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.61  | | | | | | | | | | | | |            #980.
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | |   (11987)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.36/29.61  | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.36/29.61  | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.36/29.61  | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.36/29.61  | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.36/29.61  | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.36/29.61  | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.36/29.61  | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.36/29.61  | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.36/29.61  | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.36/29.61  | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.36/29.61  | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.36/29.61  | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.36/29.61  | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.36/29.61  | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.36/29.61  | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.36/29.61  | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_10))
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | BETA: splitting (11987) gives:
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | |   (11988)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.36/29.61  | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.36/29.61  | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.36/29.61  | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.36/29.61  | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.36/29.61  | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.36/29.61  | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | REF_CLOSE: (170), (11979), (11988), (function-axioms) are
% 190.36/29.61  | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | |   (11989)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.36/29.61  | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.36/29.61  | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.36/29.61  | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.36/29.61  | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.36/29.61  | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.36/29.61  | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.36/29.61  | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.36/29.61  | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.36/29.61  | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | BETA: splitting (11989) gives:
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | |   (11990)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.36/29.61  | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.36/29.61  | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.36/29.61  | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 190.36/29.61  | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | ALPHA: (11990) implies:
% 190.36/29.61  | | | | | | | | | | | | | |   (11991)  op(e3, e3) = e2
% 190.36/29.61  | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | REF_CLOSE: (9), (11982), (11991), (function-axioms) are
% 190.36/29.61  | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 190.36/29.61  | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | |   (11992)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.36/29.61  | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.36/29.61  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.36/29.61  | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.36/29.61  | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.36/29.61  | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.36/29.61  | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.36/29.61  | | | | | | | | | | | | | |              $i(all_57_10))
% 190.36/29.61  | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (11968), (11973), (11992),
% 190.36/29.61  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.61  | | | | | | | | | | | | | |            #444.
% 190.36/29.61  | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | End of split
% 190.36/29.61  | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | |   (11993)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.36/29.61  | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.36/29.61  | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.36/29.61  | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.36/29.61  | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.36/29.61  | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.36/29.61  | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.36/29.61  | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.36/29.61  | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.36/29.61  | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.36/29.61  | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.36/29.61  | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.36/29.61  | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.36/29.61  | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.36/29.61  | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.36/29.61  | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.36/29.61  | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.36/29.61  | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.36/29.61  | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.36/29.61  | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.36/29.61  | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.36/29.61  | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.36/29.61  | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.36/29.61  | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.36/29.61  | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.36/29.61  | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.36/29.61  | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.36/29.61  | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.36/29.61  | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.36/29.61  | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.36/29.61  | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.36/29.61  | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.36/29.61  | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.36/29.61  | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.36/29.61  | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.36/29.61  | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.36/29.61  | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.36/29.61  | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.36/29.61  | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.36/29.61  | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.36/29.61  | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.36/29.61  | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.36/29.61  | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.36/29.61  | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.36/29.61  | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.36/29.61  | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.36/29.61  | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.36/29.61  | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.36/29.61  | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.36/29.61  | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.36/29.61  | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.36/29.61  | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.36/29.61  | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.36/29.61  | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.36/29.61  | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.36/29.61  | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.36/29.61  | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.36/29.61  | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | BETA: splitting (11993) gives:
% 190.36/29.61  | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | |   (11994)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.36/29.61  | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.36/29.61  | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.36/29.61  | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.36/29.61  | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.36/29.61  | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.36/29.61  | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.36/29.61  | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.36/29.61  | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.36/29.61  | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.36/29.61  | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.36/29.61  | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.36/29.61  | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.36/29.61  | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.36/29.61  | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.36/29.61  | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | REF_CLOSE: (8), (165), (168), (169), (9859), (11980),
% 190.36/29.61  | | | | | | | | | | | |            (11981), (11982), (11994), (function-axioms) are
% 190.36/29.61  | | | | | | | | | | | |            inconsistent by sub-proof #881.
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | |   (11995)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.36/29.61  | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.36/29.61  | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.36/29.61  | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.36/29.61  | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.36/29.61  | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.36/29.61  | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.36/29.61  | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.36/29.61  | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.36/29.61  | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.36/29.61  | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.36/29.61  | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.36/29.61  | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.36/29.61  | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.36/29.61  | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.36/29.61  | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.36/29.61  | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.36/29.61  | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.36/29.61  | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.36/29.61  | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.36/29.61  | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.36/29.61  | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.36/29.61  | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.36/29.61  | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.36/29.61  | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.36/29.61  | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.36/29.61  | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.36/29.61  | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.36/29.61  | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.36/29.61  | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.36/29.61  | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.36/29.61  | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.36/29.61  | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.36/29.61  | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.36/29.61  | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.36/29.61  | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | BETA: splitting (11995) gives:
% 190.36/29.61  | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | |   (11996)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.36/29.61  | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.36/29.61  | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.36/29.61  | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.36/29.61  | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.36/29.61  | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.36/29.61  | | | | | | | | | | | | |              $i(all_57_14))
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | REF_CLOSE: (7), (11982), (11996), (function-axioms) are
% 190.36/29.61  | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | Case 2:
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | |   (11997)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.36/29.61  | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.36/29.61  | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.36/29.61  | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.36/29.61  | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.36/29.61  | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.36/29.61  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.36/29.61  | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.36/29.61  | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.36/29.61  | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.36/29.61  | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.36/29.61  | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.36/29.61  | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.36/29.61  | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.36/29.61  | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.36/29.61  | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.36/29.61  | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.36/29.61  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.36/29.61  | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.36/29.61  | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.36/29.61  | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.36/29.61  | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.36/29.61  | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.36/29.61  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.36/29.61  | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.36/29.61  | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.36/29.61  | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.36/29.61  | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.36/29.61  | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | BETA: splitting (11997) gives:
% 190.36/29.61  | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | Case 1:
% 190.36/29.61  | | | | | | | | | | | | | | 
% 190.36/29.61  | | | | | | | | | | | | | |   (11998)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.36/29.62  | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.36/29.62  | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.36/29.62  | | | | | | | | | | | | | |            $i(all_57_13)
% 190.36/29.62  | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | ALPHA: (11998) implies:
% 190.36/29.62  | | | | | | | | | | | | | |   (11999)  op(e1, e1) = e0
% 190.36/29.62  | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (11999), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 190.36/29.62  | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | |   (12000)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.36/29.62  | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.36/29.62  | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.36/29.62  | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.36/29.62  | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.36/29.62  | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.36/29.62  | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.36/29.62  | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.36/29.62  | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.36/29.62  | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.36/29.62  | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.36/29.62  | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.36/29.62  | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.36/29.62  | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.36/29.62  | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.36/29.62  | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.36/29.62  | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.36/29.62  | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.36/29.62  | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.36/29.62  | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.36/29.62  | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.36/29.62  | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.36/29.62  | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.36/29.62  | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.36/29.62  | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.36/29.62  | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | BETA: splitting (12000) gives:
% 190.36/29.62  | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | |   (12001)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.36/29.62  | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.36/29.62  | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.36/29.62  | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | ALPHA: (12001) implies:
% 190.36/29.62  | | | | | | | | | | | | | | |   (12002)  op(e1, e0) = e1
% 190.36/29.62  | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | REF_CLOSE: (160), (11967), (12002), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 190.36/29.62  | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | |   (12003)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.36/29.62  | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.36/29.62  | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.36/29.62  | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.36/29.62  | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.36/29.62  | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.36/29.62  | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.36/29.62  | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.36/29.62  | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.36/29.62  | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.36/29.62  | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.36/29.62  | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.36/29.62  | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.36/29.62  | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.36/29.62  | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.36/29.62  | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.36/29.62  | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.36/29.62  | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.36/29.62  | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.36/29.62  | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | ALPHA: (12003) implies:
% 190.36/29.62  | | | | | | | | | | | | | | |   (12004)  op(e0, e0) = all_57_15
% 190.36/29.62  | | | | | | | | | | | | | | |   (12005)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.36/29.62  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.36/29.62  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.36/29.62  | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.36/29.62  | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.36/29.62  | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.36/29.62  | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.36/29.62  | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.36/29.62  | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.36/29.62  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.36/29.62  | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.36/29.62  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.36/29.62  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.36/29.62  | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.36/29.62  | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.36/29.62  | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.36/29.62  | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | BETA: splitting (12005) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | |   (12006)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.36/29.62  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.36/29.62  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.36/29.62  | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.36/29.62  | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.36/29.62  | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.36/29.62  | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 190.36/29.62  | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | BETA: splitting (12006) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12007)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.36/29.62  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.36/29.62  | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | ALPHA: (12007) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12008)  op(e2, e2) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (12008), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12009)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.36/29.62  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 190.36/29.62  | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 190.36/29.62  | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 190.36/29.62  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 190.36/29.62  | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | BETA: splitting (12009) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | |   (12010)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.36/29.62  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 190.36/29.62  | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | ALPHA: (12010) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | |   (12011)  op(e1, e1) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (12011), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | |   (12012)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.36/29.62  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 190.36/29.62  | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | ALPHA: (12012) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | |   (12013)  op(e3, e3) = e2
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11982), (12013), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | |   (12014)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.36/29.62  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.36/29.62  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.36/29.62  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.36/29.62  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.36/29.62  | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.36/29.62  | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.36/29.62  | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.36/29.62  | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | BETA: splitting (12014) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12015)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.36/29.62  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.36/29.62  | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | ALPHA: (12015) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12016)   ~ (all_57_15 = e2)
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12017)   ~ (all_57_4 = e1)
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12018)  op(e0, e2) = e0
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12019)  op(e1, e2) = all_57_4
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 190.36/29.62  | | | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (11968),
% 190.36/29.62  | | | | | | | | | | | | | | | | |              (12004) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12020)  all_57_15 = e1
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 190.36/29.62  | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (12018) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12021)  all_52_7 = e0
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 190.36/29.62  | | | | | | | | | | | | | | | | |              all_57_4, e2, e1, simplifying with (162), (12019)
% 190.36/29.62  | | | | | | | | | | | | | | | | |              gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12022)  all_57_4 = all_52_6
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | REDUCE: (12017), (12022) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12023)   ~ (all_52_6 = e1)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | REDUCE: (12016), (12020) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12024)   ~ (e2 = e1)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | REDUCE: (140), (12021) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12025)   ~ (all_52_3 = e0)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | REDUCE: (128), (12021) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12026)   ~ (all_52_6 = e0)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | REDUCE: (125), (12021) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12027)   ~ (all_52_11 = e0)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | SIMP: (12027) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12028)   ~ (all_52_11 = e0)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | REDUCE: (356), (12021) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12029)   ~ (all_4_2 = e0)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | SIMP: (12029) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12030)   ~ (all_4_2 = e0)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | REDUCE: (11963), (12021) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | |   (12031)   ~ (e1 = e0)
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | |   (12032)  all_54_14 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12032) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | | |   (12033)  all_52_11 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | SIMP: (12033) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | |   (12034)  all_52_11 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | REDUCE: (139), (12034) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | | |   (12035)   ~ (all_52_3 = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | REDUCE: (118), (12034) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | | |   (12036)   ~ (all_52_9 = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | |   (12037)  all_54_5 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12037) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | |   (12038)  all_4_2 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | REDUCE: (373), (12038) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | |   (12039)  $false
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | CLOSE: (12039) is inconsistent.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | |   (12040)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | |   (12041)  all_54_9 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (12041) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | |   (12042)  all_52_6 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | SIMP: (12042) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | |   (12043)  all_52_6 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (12043) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | |   (12044)   ~ (all_52_2 = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (12043) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | |   (12045)   ~ (all_52_14 = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | SIMP: (12045) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | |   (12046)   ~ (all_52_14 = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (12043) imply:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | |   (12047)   ~ (all_4_2 = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | |   (12048)  all_54_11 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (12046), (12048) are inconsistent by
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1277.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | |   (12049)   ~ (all_54_11 = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | |   (12050)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | |   (12051)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (11980), (12036), (12051),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | |            #1757.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | |   (12052)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12052) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |   (12053)  all_56_8 = e3 & op(e1, e1) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12053) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |   (12054)  op(e1, e1) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (112), (117), (120), (121), (123), (133), (134),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (139), (146), (157), (158), (159), (160), (164),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (168), (169), (170), (198), (199),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (201), (202), (203), (206), (208), (209), (212),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (215), (217), (218), (219), (221),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (225), (226), (227), (228),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (230), (231), (232), (234), (238), (239), (261),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (268), (270), (271), (272), (309), (314), (349),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (352), (358), (373), (11962), (11963), (11964),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (11965), (11966), (11967), (11968), (11971),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (11973), (11979), (11980), (11981), (11982),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            (12035), (12036), (12054), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #859.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |   (12055)  all_56_14 = e3 & op(e0, e1) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12055) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | |   (12056)  all_56_14 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | |   (12057)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12057) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (12058)  all_56_2 = e3 & op(e2, e3) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12058) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (12059)  all_56_2 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12060)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12060) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12061)  all_56_6 = e3 & op(e1, e3) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12061) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12062)  all_56_6 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12059), (12062), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1458.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12063)  all_56_7 = e3 & op(e1, e2) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12063) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12064)  all_56_7 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (110), (157), (159), (160), (162),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (169), (213), (214), (215), (219),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (250), (268), (358), (360), (373), (9858),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9861), (11964), (11967), (11968), (11973),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11982), (12016), (12018), (12023), (12025),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12028), (12030), (12040), (12046), (12050),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12056), (12064), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #442.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12065)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12065) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12066)  all_56_8 = e3 & op(e1, e1) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12066) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12067)  op(e1, e1) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (164),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (212), (213), (215), (221), (222), (223),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (231), (373), (11962), (11966), (11968),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11973), (11981), (11982), (12059), (12067),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #884.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12068)  all_56_11 = e3 & op(e1, e0) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12046), (12068), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1407.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (12069)  all_56_3 = e3 & op(e2, e2) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12069) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (12070)  op(e2, e2) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (12070), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | |   (12071)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12071) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (12072)  all_56_5 = e3 & op(e2, e1) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12072) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (12073)  op(e2, e1) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12036), (12073), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (12074)  all_56_10 = e3 & op(e2, e0) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12074) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (12075)  all_56_10 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (12076)  op(e2, e0) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12077)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12077) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12078)  all_56_6 = e3 & op(e1, e3) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12078) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12079)  op(e1, e3) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12044), (12079), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12080)  all_56_7 = e3 & op(e1, e2) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12080) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12081)  all_56_7 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (110), (157), (159), (160), (162),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (169), (213), (214), (215), (219),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (250), (268), (358), (360), (373), (9858),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9861), (11964), (11967), (11968), (11973),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11982), (12016), (12018), (12023), (12025),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12028), (12030), (12040), (12046), (12050),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12056), (12081), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #442.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12082)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12082) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12083)  all_56_8 = e3 & op(e1, e1) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12083) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12084)  op(e1, e1) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (117), (120), (121), (123), (133), (134),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (146), (157), (158), (159), (160), (164),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (168), (169), (170), (198), (199),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (201), (202), (203), (213), (214), (215), (217),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (222), (223), (225), (226), (227), (228),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (238), (239), (261), (268), (270), (271),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (272), (309), (314), (349), (352), (358), (373),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11962), (11963), (11964), (11965), (11966),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11967), (11968), (11971), (11973), (11979),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11980), (11981), (11982), (12035), (12036),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12056), (12076), (12084), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #860.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12085)  all_56_11 = e3 & op(e1, e0) = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12085) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12086)  all_56_11 = e3
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12087)  all_56_15 = e0 & op(e0, e0) = e0
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12087) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12088)  op(e0, e0) = e0
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11968), (12088), (function-axioms) are
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12089)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12089) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12090)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12090) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12091)  all_56_9 = e0 & op(e3, e0) = e0
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12091) implies:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12092)  all_56_9 = e0
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (211), (11968), (12075), (12086),
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12092), (function-axioms) are inconsistent by
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #591.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12093)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12093) gives:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12094)  all_56_10 = e0 & op(e2, e0) = e0
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12075), (12094) are inconsistent by
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1548.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12095)  all_56_11 = e0 & op(e1, e0) = e0
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12086), (12095) are inconsistent by
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1684.
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.62  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | | | |   (12096)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 190.36/29.63  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9857), (12023), (12026), (12096) are
% 190.36/29.63  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #951.
% 190.36/29.63  | | | | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | |   (12097)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 190.36/29.63  | | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (9860), (11964), (12028), (12097) are
% 190.36/29.63  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1736.
% 190.36/29.63  | | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | |   (12098)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.36/29.63  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 190.36/29.63  | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 190.36/29.63  | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 190.36/29.63  | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 190.36/29.63  | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 190.36/29.63  | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (11973), (11982), (12098),
% 190.36/29.63  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.63  | | | | | | | | | | | | | | | | |            #1954.
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | |   (12099)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 190.36/29.63  | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | REF_CLOSE: (279), (374), (9864), (11975), (12099) are
% 190.36/29.63  | | | | | | | | | |            inconsistent by sub-proof #1952.
% 190.36/29.63  | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | 
% 190.36/29.63  | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | 
% 190.36/29.63  | | | | | | | | |   (12100)  all_26_2 = e1
% 190.36/29.63  | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | COMBINE_EQS: (307), (12100) imply:
% 190.36/29.63  | | | | | | | | |   (12101)  all_6_2 = e1
% 190.36/29.63  | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | SIMP: (12101) implies:
% 190.36/29.63  | | | | | | | | |   (12102)  all_6_2 = e1
% 190.36/29.63  | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | REDUCE: (340), (12102) imply:
% 190.36/29.63  | | | | | | | | |   (12103)   ~ (all_52_2 = e1)
% 190.36/29.63  | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | REDUCE: (344), (12102) imply:
% 190.36/29.63  | | | | | | | | |   (12104)   ~ (all_52_4 = e1)
% 190.36/29.63  | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | REDUCE: (9864), (12102) imply:
% 190.36/29.63  | | | | | | | | |   (12105)   ~ (e2 = e1)
% 190.36/29.63  | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | REDUCE: (39), (12102) imply:
% 190.36/29.63  | | | | | | | | |   (12106)  op(e3, e3) = e1
% 190.36/29.63  | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | BETA: splitting (226) gives:
% 190.36/29.63  | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | |   (12107)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 190.36/29.63  | | | | | | | | | |              & op(e2, e2) = e1)
% 190.36/29.63  | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | REF_CLOSE: (36), (170), (11973), (12104), (12107),
% 190.36/29.63  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.63  | | | | | | | | | |            #1531.
% 190.36/29.63  | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | |   (12108)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 190.36/29.63  | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 190.36/29.63  | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | BETA: splitting (12108) gives:
% 190.36/29.63  | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | |   (12109)  all_56_7 = e1 & op(e1, e2) = e1
% 190.36/29.63  | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | ALPHA: (12109) implies:
% 190.36/29.63  | | | | | | | | | | |   (12110)  op(e1, e2) = e1
% 190.36/29.63  | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | BETA: splitting (222) gives:
% 190.36/29.63  | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | |   (12111)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 190.36/29.63  | | | | | | | | | | | |              & op(e2, e2) = e1)
% 190.36/29.63  | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | BETA: splitting (12111) gives:
% 190.36/29.63  | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | |   (12112)  all_56_2 = e1 & op(e2, e3) = e1
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | ALPHA: (12112) implies:
% 190.36/29.63  | | | | | | | | | | | | |   (12113)  all_56_2 = e1
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 190.36/29.63  | | | | | | | | | | | | |            (12106), (12113), (function-axioms) are
% 190.36/29.63  | | | | | | | | | | | | |            inconsistent by sub-proof #1844.
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | |   (12114)  all_56_3 = e1 & op(e2, e2) = e1
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | ALPHA: (12114) implies:
% 190.36/29.63  | | | | | | | | | | | | |   (12115)  op(e2, e2) = e1
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | REF_CLOSE: (36), (11973), (12115), (function-axioms) are
% 190.36/29.63  | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | |   (12116)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 190.36/29.63  | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 190.36/29.63  | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | BETA: splitting (12116) gives:
% 190.36/29.63  | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | |   (12117)  all_56_5 = e1 & op(e2, e1) = e1
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | ALPHA: (12117) implies:
% 190.36/29.63  | | | | | | | | | | | | |   (12118)  op(e2, e1) = e1
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.36/29.63  | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | |   (12119)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.36/29.63  | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.36/29.63  | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.36/29.63  | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.36/29.63  | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.36/29.63  | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.36/29.63  | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.36/29.63  | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.36/29.63  | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.36/29.63  | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.36/29.63  | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.36/29.63  | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.36/29.63  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.36/29.63  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.36/29.63  | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.36/29.63  | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.36/29.63  | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.36/29.63  | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.36/29.63  | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.36/29.63  | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.36/29.63  | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.36/29.63  | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.36/29.63  | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | BETA: splitting (12119) gives:
% 190.36/29.63  | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | |   (12120)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.36/29.63  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.36/29.63  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.36/29.63  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.36/29.63  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.36/29.63  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.36/29.63  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.36/29.63  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.36/29.63  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.36/29.63  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | BETA: splitting (12120) gives:
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | |   (12121)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.36/29.63  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.36/29.63  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.36/29.63  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (9862), (11968), (12121),
% 190.36/29.63  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.63  | | | | | | | | | | | | | | | |            #445.
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | |   (12122)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.36/29.63  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.36/29.63  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.36/29.63  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.36/29.63  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (12103), (12122),
% 190.36/29.63  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.63  | | | | | | | | | | | | | | | |            #1973.
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | |   (12123)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.36/29.63  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.36/29.63  | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.36/29.63  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.36/29.63  | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.36/29.63  | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.36/29.63  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.36/29.63  | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.36/29.63  | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.36/29.63  | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.36/29.63  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.36/29.63  | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.36/29.63  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.36/29.63  | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | BETA: splitting (12123) gives:
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | |   (12124)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.36/29.63  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.36/29.63  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.36/29.63  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.36/29.63  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11968), (12110), (12124), (function-axioms)
% 190.36/29.63  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #903.
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | |   (12125)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.36/29.63  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.36/29.63  | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.36/29.63  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.36/29.63  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.36/29.63  | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.36/29.63  | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | BETA: splitting (12125) gives:
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | |   (12126)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.36/29.63  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.36/29.63  | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | ALPHA: (12126) implies:
% 190.36/29.63  | | | | | | | | | | | | | | | | |   (12127)  op(e3, e3) = e2
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12106), (12127), (function-axioms) are
% 190.36/29.63  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | |   (12128)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.36/29.63  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.36/29.63  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.36/29.63  | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.36/29.63  | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.36/29.63  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.36/29.63  | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.36/29.63  | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (11968), (11973), (12128),
% 190.36/29.63  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.36/29.63  | | | | | | | | | | | | | | | | |            #444.
% 190.36/29.63  | | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | End of split
% 190.36/29.63  | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | Case 2:
% 190.36/29.63  | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | |   (12129)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.36/29.63  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.36/29.63  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.36/29.63  | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.36/29.63  | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.36/29.63  | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.36/29.63  | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.36/29.63  | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.36/29.63  | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.36/29.63  | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.36/29.63  | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.36/29.63  | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.36/29.63  | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.36/29.63  | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.36/29.63  | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.36/29.63  | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.36/29.63  | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.36/29.63  | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.36/29.63  | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.36/29.63  | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.36/29.63  | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.36/29.63  | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.36/29.63  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.36/29.63  | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.36/29.63  | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.36/29.63  | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.36/29.63  | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.36/29.63  | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.36/29.63  | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.36/29.63  | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.36/29.63  | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.36/29.63  | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.36/29.63  | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.36/29.63  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.36/29.63  | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.36/29.63  | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.36/29.63  | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.36/29.63  | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.36/29.63  | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.36/29.63  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.36/29.63  | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.36/29.63  | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.36/29.63  | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.36/29.63  | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.36/29.63  | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | BETA: splitting (12129) gives:
% 190.36/29.63  | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | |   (12130)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.36/29.63  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.36/29.63  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.36/29.63  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.36/29.63  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.36/29.63  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.36/29.63  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.36/29.63  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.36/29.63  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.36/29.63  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.36/29.63  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.36/29.63  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.36/29.63  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.36/29.63  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | BETA: splitting (12130) gives:
% 190.36/29.63  | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | Case 1:
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.36/29.63  | | | | | | | | | | | | | | | |   (12131)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.36/29.63  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.36/29.63  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.36/29.63  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.36/29.63  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.36/29.63  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.36/29.63  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.36/29.63  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.36/29.63  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.36/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12106), (12118), (12131), (function-axioms)
% 190.47/29.63  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #441.
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | |   (12132)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.63  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.63  | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.63  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.63  | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.47/29.63  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.47/29.63  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.63  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.63  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.47/29.63  | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.47/29.63  | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.63  | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.47/29.63  | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | BETA: splitting (12132) gives:
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.63  | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | |   (12133)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.63  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.63  | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.63  | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.63  | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.47/29.63  | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | ALPHA: (12133) implies:
% 190.47/29.63  | | | | | | | | | | | | | | | | |   (12134)  op(e2, e1) = e2
% 190.47/29.63  | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12118), (12134), (function-axioms) are
% 190.47/29.63  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 190.47/29.63  | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.63  | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | |   (12135)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.63  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.63  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.63  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.63  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.63  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.63  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.63  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.63  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.47/29.63  | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | BETA: splitting (12135) gives:
% 190.47/29.63  | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12136)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.63  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.63  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.63  | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.63  | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | ALPHA: (12136) implies:
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12137)   ~ (all_57_11 = e2)
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12138)  op(e2, e0) = all_57_11
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12139)  op(e2, e2) = e0
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12140)  op(e3, e0) = e3
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 190.47/29.63  | | | | | | | | | | | | | | | | | |              all_57_11, e0, e2, simplifying with (164), (12138)
% 190.47/29.63  | | | | | | | | | | | | | | | | | |              gives:
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12141)  all_57_11 = all_52_13
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 190.47/29.63  | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (36), (12139) gives:
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12142)  all_4_2 = e0
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 190.47/29.63  | | | | | | | | | | | | | | | | | |              e3, e0, e3, simplifying with (168), (12140) gives:
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12143)  all_52_12 = e3
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | REDUCE: (12137), (12141) imply:
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12144)   ~ (all_52_13 = e2)
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | REDUCE: (113), (12143) imply:
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12145)   ~ (all_52_13 = e3)
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | SIMP: (12145) implies:
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12146)   ~ (all_52_13 = e3)
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | REDUCE: (360), (12142) imply:
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12147)   ~ (all_52_13 = e0)
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (197), (260), (11966), (12144), (12146), (12147)
% 190.47/29.63  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #440.
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12148)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 190.47/29.63  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 190.47/29.63  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 190.47/29.63  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) &
% 190.47/29.63  | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | ALPHA: (12148) implies:
% 190.47/29.63  | | | | | | | | | | | | | | | | | |   (12149)  op(e1, e1) = e0
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (12149), (function-axioms) are
% 190.47/29.63  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 190.47/29.63  | | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.63  | | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | End of split
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | End of split
% 190.47/29.63  | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | Case 2:
% 190.47/29.63  | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | |   (12150)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.63  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.63  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.63  | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.63  | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.63  | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.63  | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.63  | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.63  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.47/29.63  | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.63  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.47/29.63  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.63  | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.47/29.63  | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.47/29.63  | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.47/29.63  | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.47/29.63  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.47/29.63  | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.63  | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.47/29.63  | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.63  | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.47/29.63  | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.47/29.63  | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.63  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.63  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.63  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.63  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.63  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.63  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.63  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.63  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.63  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.63  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.63  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.63  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.63  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.63  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.63  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.63  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.63  | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | BETA: splitting (12150) gives:
% 190.47/29.63  | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | |   (12151)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.63  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.63  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.63  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.63  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.63  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.63  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.63  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.63  | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12106), (12151), (function-axioms) are
% 190.47/29.63  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | |   (12152)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.63  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.63  | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.63  | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.63  | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.63  | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.63  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.63  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.63  | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.63  | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.63  | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.63  | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.63  | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.63  | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.63  | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.63  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.63  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.63  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.63  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.63  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.63  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.63  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.63  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.63  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.63  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.63  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.63  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.63  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.63  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.63  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.63  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | BETA: splitting (12152) gives:
% 190.47/29.63  | | | | | | | | | | | | | | | | 
% 190.47/29.63  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.63  | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | |   (12153)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.64  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.64  | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.47/29.64  | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | ALPHA: (12153) implies:
% 190.47/29.64  | | | | | | | | | | | | | | | | |   (12154)  op(e1, e1) = e0
% 190.47/29.64  | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (12154), (function-axioms) are
% 190.47/29.64  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 190.47/29.64  | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | |   (12155)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.64  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.47/29.64  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.47/29.64  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.47/29.64  | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.47/29.64  | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.47/29.64  | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.64  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.47/29.64  | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.47/29.64  | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.47/29.64  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.47/29.64  | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.47/29.64  | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.47/29.64  | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | BETA: splitting (12155) gives:
% 190.47/29.64  | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | |   (12156)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.47/29.64  | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | ALPHA: (12156) implies:
% 190.47/29.64  | | | | | | | | | | | | | | | | | |   (12157)  op(e1, e0) = e1
% 190.47/29.64  | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11967), (12157), (function-axioms) are
% 190.47/29.64  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 190.47/29.64  | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | |   (12158)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.47/29.64  | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | ALPHA: (12158) implies:
% 190.47/29.64  | | | | | | | | | | | | | | | | | |   (12159)  op(e0, e0) = all_57_15
% 190.47/29.64  | | | | | | | | | | | | | | | | | |   (12160)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.64  | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.64  | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.64  | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | BETA: splitting (12160) gives:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |   (12161)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | BETA: splitting (12161) gives:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |   (12162)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | ALPHA: (12162) implies:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |   (12163)  op(e2, e2) = e3
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (12163), (function-axioms) are
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |   (12164)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9862), (12106), (12164),
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |            #439.
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |   (12165)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.64  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | BETA: splitting (12165) gives:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |   (12166)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | ALPHA: (12166) implies:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |   (12167)   ~ (all_57_4 = e1)
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |   (12168)  op(e1, e2) = all_57_4
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12110), (12167), (12168), (function-axioms) are
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1303.
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |   (12169)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12169) gives:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |   (12170)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12170) implies:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |   (12171)   ~ (all_57_15 = e1)
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11968), (12159), (12171), (function-axioms) are
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #499.
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |   (12172)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12172) implies:
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |   (12173)  op(e2, e2) = e1
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (11973), (12173), (function-axioms) are
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | |   (12174)  all_56_10 = e1 & op(e2, e0) = e1
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | ALPHA: (12174) implies:
% 190.47/29.64  | | | | | | | | | | | | |   (12175)  op(e2, e0) = e1
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | REF_CLOSE: (164), (11966), (12175), (function-axioms) are
% 190.47/29.64  | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | |   (12176)  all_56_13 = e1 & op(e0, e2) = e1
% 190.47/29.64  | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | ALPHA: (12176) implies:
% 190.47/29.64  | | | | | | | | | | |   (12177)  op(e0, e2) = e1
% 190.47/29.64  | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | REF_CLOSE: (158), (11963), (12177), (function-axioms) are
% 190.47/29.64  | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 190.47/29.64  | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | 
% 190.47/29.64  | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | 
% 190.47/29.64  | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | 
% 190.47/29.64  | | | | | | | |   (12178)  all_24_2 = e1
% 190.47/29.64  | | | | | | | | 
% 190.47/29.64  | | | | | | | | COMBINE_EQS: (318), (12178) imply:
% 190.47/29.64  | | | | | | | |   (12179)  all_4_2 = e1
% 190.47/29.64  | | | | | | | | 
% 190.47/29.64  | | | | | | | | REDUCE: (354), (12179) imply:
% 190.47/29.64  | | | | | | | |   (12180)   ~ (all_52_6 = e1)
% 190.47/29.64  | | | | | | | | 
% 190.47/29.64  | | | | | | | | REDUCE: (358), (12179) imply:
% 190.47/29.64  | | | | | | | |   (12181)   ~ (all_52_9 = e1)
% 190.47/29.64  | | | | | | | | 
% 190.47/29.64  | | | | | | | | REDUCE: (36), (12179) imply:
% 190.47/29.64  | | | | | | | |   (12182)  op(e2, e2) = e1
% 190.47/29.64  | | | | | | | | 
% 190.47/29.64  | | | | | | | | BETA: splitting (214) gives:
% 190.47/29.64  | | | | | | | | 
% 190.47/29.64  | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | 
% 190.47/29.64  | | | | | | | | |   (12183)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 190.47/29.64  | | | | | | | | |              & op(e1, e2) = e1)
% 190.47/29.64  | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | BETA: splitting (12183) gives:
% 190.47/29.64  | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | |   (12184)  all_56_6 = e1 & op(e1, e3) = e1
% 190.47/29.64  | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | ALPHA: (12184) implies:
% 190.47/29.64  | | | | | | | | | |   (12185)  op(e1, e3) = e1
% 190.47/29.64  | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | BETA: splitting (218) gives:
% 190.47/29.64  | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | |   (12186)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 190.47/29.64  | | | | | | | | | | |              & op(e2, e1) = e1)
% 190.47/29.64  | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | BETA: splitting (12186) gives:
% 190.47/29.64  | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | |   (12187)  all_56_4 = e1 & op(e3, e1) = e1
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | ALPHA: (12187) implies:
% 190.47/29.64  | | | | | | | | | | | |   (12188)  op(e3, e1) = e1
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 190.47/29.64  | | | | | | | | | | | |              e3, e1, simplifying with (163), (12185) gives:
% 190.47/29.64  | | | | | | | | | | | |   (12189)  all_52_2 = e1
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 190.47/29.64  | | | | | | | | | | | |              e1, e3, simplifying with (169), (12188) gives:
% 190.47/29.64  | | | | | | | | | | | |   (12190)  all_52_8 = e1
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | REDUCE: (143), (12189) imply:
% 190.47/29.64  | | | | | | | | | | | |   (12191)   ~ (all_52_6 = e1)
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | REDUCE: (141), (12189) imply:
% 190.47/29.64  | | | | | | | | | | | |   (12192)   ~ (all_52_14 = e1)
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | REDUCE: (121), (12190) imply:
% 190.47/29.64  | | | | | | | | | | | |   (12193)   ~ (all_52_11 = e1)
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | REDUCE: (346), (12190) imply:
% 190.47/29.64  | | | | | | | | | | | |   (12194)   ~ (all_6_2 = e1)
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | SIMP: (12194) implies:
% 190.47/29.64  | | | | | | | | | | | |   (12195)   ~ (all_6_2 = e1)
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | REDUCE: (9858), (12190) imply:
% 190.47/29.64  | | | | | | | | | | | |   (12196)   ~ (e2 = e1)
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | BETA: splitting (204) gives:
% 190.47/29.64  | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | |   (12197)  all_54_0 = e3
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | COMBINE_EQS: (279), (12197) imply:
% 190.47/29.64  | | | | | | | | | | | | |   (12198)  all_6_2 = e3
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | REDUCE: (344), (12198) imply:
% 190.47/29.64  | | | | | | | | | | | | |   (12199)   ~ (all_52_4 = e3)
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | REDUCE: (348), (12198) imply:
% 190.47/29.64  | | | | | | | | | | | | |   (12200)   ~ (all_52_12 = e3)
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | REDUCE: (39), (12198) imply:
% 190.47/29.64  | | | | | | | | | | | | |   (12201)  op(e3, e3) = e3
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.47/29.64  | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | |   (12202)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.47/29.64  | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.64  | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.47/29.64  | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.47/29.64  | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.47/29.64  | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.47/29.64  | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.64  | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.64  | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.47/29.64  | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.64  | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.64  | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.64  | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.64  | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.47/29.64  | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.64  | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.64  | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.47/29.64  | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.64  | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.64  | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.64  | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.64  | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.64  | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.64  | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.47/29.64  | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.47/29.64  | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.47/29.64  | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.47/29.64  | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.64  | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.47/29.64  | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.64  | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.47/29.64  | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.47/29.64  | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.64  | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.64  | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.47/29.64  | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.47/29.64  | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.47/29.64  | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | BETA: splitting (12202) gives:
% 190.47/29.64  | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | |   (12203)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.47/29.64  | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.64  | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.47/29.64  | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.47/29.64  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.47/29.64  | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.64  | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.64  | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.64  | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.64  | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.64  | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.47/29.64  | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.64  | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.47/29.64  | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | BETA: splitting (12203) gives:
% 190.47/29.64  | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | |   (12204)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.47/29.64  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.64  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.47/29.64  | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.47/29.64  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.47/29.64  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.64  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (12182), (12199), (12204),
% 190.47/29.64  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.64  | | | | | | | | | | | | | | | |            #1673.
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | |   (12205)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.64  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.64  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.64  | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.47/29.64  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.64  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (9862), (12201), (12205),
% 190.47/29.64  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.64  | | | | | | | | | | | | | | | |            #452.
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | |   (12206)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.64  | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.64  | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.64  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.64  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.64  | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.47/29.64  | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.47/29.64  | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.47/29.64  | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.64  | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.47/29.64  | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.64  | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.47/29.64  | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.47/29.64  | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.47/29.64  | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.47/29.64  | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | BETA: splitting (12206) gives:
% 190.47/29.64  | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | |   (12207)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.64  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.64  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.64  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.64  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.64  | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.47/29.64  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.47/29.64  | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (11968), (12201), (12207),
% 190.47/29.64  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.64  | | | | | | | | | | | | | | | |            #949.
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | |   (12208)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.64  | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.47/29.64  | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.47/29.64  | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.64  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.64  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.47/29.64  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.64  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.64  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.47/29.64  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.47/29.64  | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | | REF_CLOSE: (162), (165), (9859), (12180), (12208),
% 190.47/29.64  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.64  | | | | | | | | | | | | | | | |            #1669.
% 190.47/29.64  | | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | | End of split
% 190.47/29.64  | | | | | | | | | | | | | | 
% 190.47/29.64  | | | | | | | | | | | | | Case 2:
% 190.47/29.64  | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | |   (12209)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.47/29.65  | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.47/29.65  | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.65  | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.65  | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.65  | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.47/29.65  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.65  | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.47/29.65  | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.47/29.65  | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.47/29.65  | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.47/29.65  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.47/29.65  | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.65  | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.65  | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.47/29.65  | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.47/29.65  | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.47/29.65  | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.47/29.65  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.47/29.65  | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.47/29.65  | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.47/29.65  | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.47/29.65  | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.47/29.65  | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.47/29.65  | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.47/29.65  | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.47/29.65  | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.47/29.65  | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.47/29.65  | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.47/29.65  | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.65  | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.47/29.65  | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.47/29.65  | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.47/29.65  | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.65  | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.65  | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.65  | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.47/29.65  | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.47/29.65  | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.47/29.65  | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.47/29.65  | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.65  | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.65  | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.65  | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.65  | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.47/29.65  | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.47/29.65  | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.47/29.65  | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.65  | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.47/29.65  | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | BETA: splitting (12209) gives:
% 190.47/29.65  | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | |   (12210)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.65  | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.65  | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.65  | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.47/29.65  | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.47/29.65  | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.47/29.65  | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.65  | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.65  | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.47/29.65  | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.47/29.65  | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.47/29.65  | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.47/29.65  | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.47/29.65  | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.47/29.65  | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | BETA: splitting (12210) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | |   (12211)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.65  | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.65  | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.65  | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.47/29.65  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.47/29.65  | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.47/29.65  | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11968), (12182), (12211),
% 190.47/29.65  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.65  | | | | | | | | | | | | | | | |            #936.
% 190.47/29.65  | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | |   (12212)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.65  | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.65  | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.47/29.65  | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.47/29.65  | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.47/29.65  | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.47/29.65  | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.47/29.65  | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.47/29.65  | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | BETA: splitting (12212) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | |   (12213)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.65  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.65  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 190.47/29.65  | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 190.47/29.65  | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 190.47/29.65  | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | ALPHA: (12213) implies:
% 190.47/29.65  | | | | | | | | | | | | | | | | |   (12214)  op(e0, e1) = e1
% 190.47/29.65  | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (11964), (12214), (function-axioms) are
% 190.47/29.65  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1885.
% 190.47/29.65  | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | |   (12215)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 190.47/29.65  | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 190.47/29.65  | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.47/29.65  | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.47/29.65  | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 190.47/29.65  | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 190.47/29.65  | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | ALPHA: (12215) implies:
% 190.47/29.65  | | | | | | | | | | | | | | | | |   (12216)  all_57_15 = e1
% 190.47/29.65  | | | | | | | | | | | | | | | | |   (12217)  op(e0, e1) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | |   (12218)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 190.47/29.65  | | | | | | | | | | | | | | | | |                = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 190.47/29.65  | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | |   (12219)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.65  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.65  | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | BETA: splitting (12219) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |   (12220)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (12220) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |   (12221)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11968), (12185), (12221), (function-axioms)
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #894.
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |   (12222)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11968), (12182), (12222), (function-axioms)
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #938.
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |   (12223)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (12223) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |   (12224)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (12199), (12224), (function-axioms) are
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |   (12225)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (12180), (12188), (12225),
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |            #1140.
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.65  | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | |   (12226)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.47/29.65  | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | BETA: splitting (12226) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |   (12227)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (12227) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |   (12228)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12188), (12201), (12228), (function-axioms)
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #893.
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |   (12229)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12229) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |   (12230)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12230) implies:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |   (12231)  all_57_7 = e2
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |   (12232)   ~ (all_57_12 = e1)
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12218), (12231), (12232) are inconsistent by
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1892.
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |   (12233)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12200), (12233), (function-axioms) are
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1963.
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |   (12234)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (12234) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |   (12235)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12201), (12235), (function-axioms) are
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |   (12236)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12236) gives:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |   (12237)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12237) implies:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |   (12238)  op(e1, e1) = e0
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (12238), (function-axioms) are
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |   (12239)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.47/29.65  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12239) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |   (12240)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12240) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |   (12241)  op(e1, e0) = e1
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11967), (12241), (function-axioms) are
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |   (12242)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12242) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |   (12243)  op(e0, e0) = all_57_15
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |   (12244)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12244) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |   (12245)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12245) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |   (12246)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12246) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |   (12247)  op(e2, e2) = e3
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12182), (12247), (function-axioms) are
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |   (12248)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12248) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (12249)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12249) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (12250)  op(e0, e3) = e0
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (12217), (12250),
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            #1671.
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (12251)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12251) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (12252)  op(e0, e2) = e0
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (157), (158), (12217), (12252),
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            #493.
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |   (12253)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12253) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |   (12254)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12254) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |   (12255)  op(e0, e2) = e0
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (157), (158), (12217), (12255),
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |            #493.
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |   (12256)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12256) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (12257)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12257) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (12258)  op(e3, e3) = e1
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12201), (12258), (function-axioms) are
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (12259)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12259) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (12260)   ~ (all_57_15 = e1)
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11968), (12243), (12260), (function-axioms) are
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #499.
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | |   (12261)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.47/29.66  | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.47/29.66  | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.47/29.66  | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.47/29.66  | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.47/29.66  | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.66  | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.47/29.66  | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.47/29.66  | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.47/29.66  | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.66  | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.66  | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.47/29.66  | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.47/29.66  | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.47/29.66  | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.47/29.66  | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.66  | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.66  | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.66  | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.47/29.66  | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.47/29.66  | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.47/29.66  | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.66  | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.66  | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.66  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.66  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.47/29.66  | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | BETA: splitting (12261) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | |   (12262)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.47/29.66  | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.47/29.66  | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.47/29.66  | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.47/29.66  | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.47/29.66  | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.66  | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.47/29.66  | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.47/29.66  | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.47/29.66  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.66  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.66  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | BETA: splitting (12262) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | |   (12263)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.47/29.66  | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 190.47/29.66  | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.47/29.66  | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.47/29.66  | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.47/29.66  | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | ALPHA: (12263) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | | |   (12264)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 190.47/29.66  | | | | | | | | | | | | | | | | |                = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (12185), (12264), (function-axioms)
% 190.47/29.66  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #438.
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | |   (12265)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.47/29.66  | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 190.47/29.66  | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.47/29.66  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.66  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.47/29.66  | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.47/29.66  | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | ALPHA: (12265) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | | |   (12266)  op(e2, e2) = e2
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12182), (12266), (function-axioms) are
% 190.47/29.66  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | |   (12267)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.47/29.66  | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.47/29.66  | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.47/29.66  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.66  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.66  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.66  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.66  | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.47/29.66  | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.47/29.66  | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.47/29.66  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.66  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.66  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.66  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.66  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9862), (11968), (12267),
% 190.47/29.66  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.66  | | | | | | | | | | | | | | | |            #437.
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | |   (12268)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 190.47/29.66  | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | REF_CLOSE: (279), (374), (9864), (12195), (12268) are
% 190.47/29.66  | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 190.47/29.66  | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | |   (12269)  all_56_5 = e1 & op(e2, e1) = e1
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | ALPHA: (12269) implies:
% 190.47/29.66  | | | | | | | | | | | |   (12270)  op(e2, e1) = e1
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | REF_CLOSE: (165), (12181), (12270), (function-axioms) are
% 190.47/29.66  | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | |   (12271)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 190.47/29.66  | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 190.47/29.66  | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | REF_CLOSE: (6), (157), (9862), (11964), (12271),
% 190.47/29.66  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.66  | | | | | | | | | | |            #460.
% 190.47/29.66  | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | |   (12272)  all_56_7 = e1 & op(e1, e2) = e1
% 190.47/29.66  | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | ALPHA: (12272) implies:
% 190.47/29.66  | | | | | | | | | |   (12273)  op(e1, e2) = e1
% 190.47/29.66  | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | REF_CLOSE: (162), (12180), (12273), (function-axioms) are
% 190.47/29.66  | | | | | | | | | |            inconsistent by sub-proof #1970.
% 190.47/29.66  | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | 
% 190.47/29.66  | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | 
% 190.47/29.66  | | | | | | | | |   (12274)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1
% 190.47/29.66  | | | | | | | | |              & op(e1, e0) = e1)
% 190.47/29.66  | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | REF_CLOSE: (6), (160), (9862), (11967), (12274),
% 190.47/29.66  | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.66  | | | | | | | | |            #436.
% 190.47/29.66  | | | | | | | | | 
% 190.47/29.66  | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | 
% 190.47/29.66  | | | | | | | End of split
% 190.47/29.66  | | | | | | | 
% 190.47/29.66  | | | | | | End of split
% 190.47/29.66  | | | | | | 
% 190.47/29.66  | | | | | End of split
% 190.47/29.66  | | | | | 
% 190.47/29.66  | | | | Case 2:
% 190.47/29.66  | | | | | 
% 190.47/29.66  | | | | |   (12275)  all_12_2 = e2
% 190.47/29.66  | | | | |   (12276)  ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3,
% 190.47/29.66  | | | | |                e2) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 190.47/29.66  | | | | |              (all_12_1 = e1) & op(e3, e2) = all_12_1 & $i(all_12_1))
% 190.47/29.66  | | | | | 
% 190.47/29.66  | | | | | COMBINE_EQS: (324), (12275) imply:
% 190.47/29.66  | | | | |   (12277)  all_6_2 = e2
% 190.47/29.66  | | | | | 
% 190.47/29.66  | | | | | COMBINE_EQS: (281), (12277) imply:
% 190.47/29.66  | | | | |   (12278)  all_46_2 = e2
% 190.47/29.66  | | | | | 
% 190.47/29.66  | | | | | REDUCE: (338), (12277) imply:
% 190.47/29.66  | | | | |   (12279)   ~ (all_52_1 = e2)
% 190.47/29.66  | | | | | 
% 190.47/29.66  | | | | | REDUCE: (342), (12277) imply:
% 190.47/29.66  | | | | |   (12280)   ~ (all_52_3 = e2)
% 190.47/29.66  | | | | | 
% 190.47/29.66  | | | | | REDUCE: (344), (12277) imply:
% 190.47/29.66  | | | | |   (12281)   ~ (all_52_4 = e2)
% 190.47/29.66  | | | | | 
% 190.47/29.66  | | | | | REDUCE: (348), (12277) imply:
% 190.47/29.66  | | | | |   (12282)   ~ (all_52_12 = e2)
% 190.47/29.66  | | | | | 
% 190.47/29.66  | | | | | BETA: splitting (234) gives:
% 190.47/29.66  | | | | | 
% 190.47/29.66  | | | | | Case 1:
% 190.47/29.66  | | | | | | 
% 190.47/29.66  | | | | | |   (12283)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 &
% 190.47/29.66  | | | | | |              op(e3, e2) = e2)
% 190.47/29.66  | | | | | | 
% 190.47/29.66  | | | | | | BETA: splitting (12283) gives:
% 190.47/29.66  | | | | | | 
% 190.47/29.66  | | | | | | Case 1:
% 190.47/29.66  | | | | | | | 
% 190.47/29.66  | | | | | | |   (12284)  all_56_0 = e2 & op(e3, e3) = e2
% 190.47/29.66  | | | | | | | 
% 190.47/29.66  | | | | | | | ALPHA: (12284) implies:
% 190.47/29.66  | | | | | | |   (12285)  all_56_0 = e2
% 190.47/29.66  | | | | | | |   (12286)  op(e3, e3) = e2
% 190.47/29.66  | | | | | | | 
% 190.47/29.66  | | | | | | | BETA: splitting (52) gives:
% 190.47/29.66  | | | | | | | 
% 190.47/29.66  | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | 
% 190.47/29.66  | | | | | | | |   (12287)   ~ (all_14_2 = e1)
% 190.47/29.66  | | | | | | | | 
% 190.47/29.66  | | | | | | | | BETA: splitting (58) gives:
% 190.47/29.66  | | | | | | | | 
% 190.47/29.66  | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | 
% 190.47/29.66  | | | | | | | | |   (12288)   ~ (all_18_2 = e3)
% 190.47/29.66  | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | REDUCE: (301), (12288) imply:
% 190.47/29.66  | | | | | | | | |   (12289)   ~ (all_14_2 = e3)
% 190.47/29.66  | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | BETA: splitting (67) gives:
% 190.47/29.66  | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | |   (12290)   ~ (all_24_2 = e1)
% 190.47/29.66  | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | REDUCE: (318), (12290) imply:
% 190.47/29.66  | | | | | | | | | |   (12291)   ~ (all_4_2 = e1)
% 190.47/29.66  | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | BETA: splitting (73) gives:
% 190.47/29.66  | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | |   (12292)   ~ (all_28_2 = e2)
% 190.47/29.66  | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | REDUCE: (330), (12292) imply:
% 190.47/29.66  | | | | | | | | | | |   (12293)   ~ (all_14_2 = e2)
% 190.47/29.66  | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | BETA: splitting (189) gives:
% 190.47/29.66  | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | |   (12294)  all_54_15 = e3
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | REF_CLOSE: (246), (12289), (12294) are inconsistent by
% 190.47/29.66  | | | | | | | | | | | |            sub-proof #1675.
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | |   (12295)   ~ (all_54_15 = e3)
% 190.47/29.66  | | | | | | | | | | | |   (12296)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | BETA: splitting (12296) gives:
% 190.47/29.66  | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | |   (12297)  all_54_15 = e2
% 190.47/29.66  | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | REF_CLOSE: (246), (12293), (12297) are inconsistent by
% 190.47/29.66  | | | | | | | | | | | | |            sub-proof #1648.
% 190.47/29.66  | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | |   (12298)   ~ (all_54_15 = e2)
% 190.47/29.66  | | | | | | | | | | | | |   (12299)  all_54_15 = e1 | all_54_15 = e0
% 190.47/29.66  | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | BETA: splitting (12299) gives:
% 190.47/29.66  | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | |   (12300)  all_54_15 = e1
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | REF_CLOSE: (246), (12287), (12300) are inconsistent by
% 190.47/29.66  | | | | | | | | | | | | | |            sub-proof #1660.
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | |   (12301)  all_54_15 = e0
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | COMBINE_EQS: (246), (12301) imply:
% 190.47/29.66  | | | | | | | | | | | | | |   (12302)  all_14_2 = e0
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | SIMP: (12302) implies:
% 190.47/29.66  | | | | | | | | | | | | | |   (12303)  all_14_2 = e0
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | REDUCE: (351), (12303) imply:
% 190.47/29.66  | | | | | | | | | | | | | |   (12304)   ~ (all_52_3 = e0)
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | REDUCE: (362), (12303) imply:
% 190.47/29.66  | | | | | | | | | | | | | |   (12305)   ~ (all_52_7 = e0)
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | REDUCE: (369), (12303) imply:
% 190.47/29.66  | | | | | | | | | | | | | |   (12306)   ~ (all_52_11 = e0)
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | REDUCE: (371), (12303) imply:
% 190.47/29.66  | | | | | | | | | | | | | |   (12307)   ~ (all_52_13 = e0)
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | REDUCE: (12289), (12303) imply:
% 190.47/29.66  | | | | | | | | | | | | | |   (12308)   ~ (e3 = e0)
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | REDUCE: (12293), (12303) imply:
% 190.47/29.66  | | | | | | | | | | | | | |   (12309)   ~ (e2 = e0)
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | REDUCE: (12287), (12303) imply:
% 190.47/29.66  | | | | | | | | | | | | | |   (12310)   ~ (e1 = e0)
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | REDUCE: (51), (12303) imply:
% 190.47/29.66  | | | | | | | | | | | | | |   (12311)  op(e0, e0) = e0
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 190.47/29.66  | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | |   (12312)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 190.47/29.66  | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 190.47/29.66  | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | BETA: splitting (12312) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | |   (12313)  all_56_9 = e2 & op(e3, e0) = e2
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12282), (12313), (function-axioms) are
% 190.47/29.66  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | |   (12314)  all_56_10 = e2 & op(e2, e0) = e2
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | ALPHA: (12314) implies:
% 190.47/29.66  | | | | | | | | | | | | | | | |   (12315)  op(e2, e0) = e2
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 190.47/29.66  | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (12315) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | |   (12316)  all_52_13 = e2
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | |   (12317)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.66  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.66  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.66  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.66  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.66  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.66  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.47/29.66  | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.47/29.66  | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.47/29.66  | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.66  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.47/29.66  | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.47/29.66  | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.47/29.66  | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.47/29.66  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.47/29.66  | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.47/29.66  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.47/29.66  | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.66  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.66  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.66  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | BETA: splitting (12317) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | |   (12318)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.66  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.66  | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | BETA: splitting (12318) gives:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |   (12319)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12279), (12319), (function-axioms) are
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |   (12320)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (373), (12311), (12320),
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.66  | | | | | | | | | | | | | | | | | | |            #546.
% 190.47/29.66  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | |   (12321)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.47/29.66  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.47/29.66  | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.47/29.66  | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.47/29.66  | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (9862), (12286), (12291), (12321),
% 190.47/29.66  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.66  | | | | | | | | | | | | | | | | | |            #434.
% 190.47/29.66  | | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.66  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.66  | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | |   (12322)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.67  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.67  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.47/29.67  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.47/29.67  | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.47/29.67  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.47/29.67  | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.47/29.67  | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.67  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.67  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.67  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.67  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.67  | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | BETA: splitting (12322) gives:
% 190.47/29.67  | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | |   (12323)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | BETA: splitting (12323) gives:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |   (12324)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12286), (12311), (12324),
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |            #791.
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |   (12325)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | BETA: splitting (12325) gives:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |   (12326)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | ALPHA: (12326) implies:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |   (12327)  op(e0, e0) = e1
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12311), (12327), (function-axioms) are
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |   (12328)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (12315), (12328), (function-axioms)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #432.
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | |   (12329)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.67  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | BETA: splitting (12329) gives:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |   (12330)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12286), (12330), (function-axioms) are
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |   (12331)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | BETA: splitting (12331) gives:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |   (12332)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | ALPHA: (12332) implies:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |   (12333)  op(e1, e1) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (12333), (function-axioms) are
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |   (12334)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12334) gives:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |   (12335)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12335) implies:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |   (12336)   ~ (all_57_11 = e2)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |   (12337)  op(e2, e0) = all_57_11
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12315), (12336), (12337), (function-axioms) are
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #433.
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |   (12338)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12338) implies:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |   (12339)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12339) gives:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |   (12340)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (158), (159), (373), (12304), (12305),
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |            (12340), (function-axioms) are inconsistent by
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #816.
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |   (12341)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (159), (12286), (12304),
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |            (12305), (12306), (12339), (12341),
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | |            #431.
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | |   (12342)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 190.47/29.67  | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (9861), (12311), (12342),
% 190.47/29.67  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.67  | | | | | | | | | | | | | | |            #539.
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | |   (12343)  all_28_2 = e2
% 190.47/29.67  | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | COMBINE_EQS: (330), (12343) imply:
% 190.47/29.67  | | | | | | | | | | |   (12344)  all_14_2 = e2
% 190.47/29.67  | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | SIMP: (12344) implies:
% 190.47/29.67  | | | | | | | | | | |   (12345)  all_14_2 = e2
% 190.47/29.67  | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | REDUCE: (362), (12345) imply:
% 190.47/29.67  | | | | | | | | | | |   (12346)   ~ (all_52_7 = e2)
% 190.47/29.67  | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | REDUCE: (51), (12345) imply:
% 190.47/29.67  | | | | | | | | | | |   (12347)  op(e0, e0) = e2
% 190.47/29.67  | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | BETA: splitting (227) gives:
% 190.47/29.67  | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | |   (12348)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 190.47/29.67  | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.47/29.67  | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | BETA: splitting (12348) gives:
% 190.47/29.67  | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | |   (12349)  all_56_1 = e2 & op(e3, e2) = e2
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | ALPHA: (12349) implies:
% 190.47/29.67  | | | | | | | | | | | | |   (12350)  op(e3, e2) = e2
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | REF_CLOSE: (170), (12281), (12350), (function-axioms) are
% 190.47/29.67  | | | | | | | | | | | | |            inconsistent by sub-proof #825.
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | |   (12351)  all_56_3 = e2 & op(e2, e2) = e2
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | ALPHA: (12351) implies:
% 190.47/29.67  | | | | | | | | | | | | |   (12352)  op(e2, e2) = e2
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e2,
% 190.47/29.67  | | | | | | | | | | | | |              e2, e2, simplifying with (36), (12352) gives:
% 190.47/29.67  | | | | | | | | | | | | |   (12353)  all_4_2 = e2
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | REDUCE: (360), (12353) imply:
% 190.47/29.67  | | | | | | | | | | | | |   (12354)   ~ (all_52_13 = e2)
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | REDUCE: (373), (12353) imply:
% 190.47/29.67  | | | | | | | | | | | | |   (12355)   ~ (e3 = e2)
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.47/29.67  | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | |   (12356)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.67  | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.67  | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.67  | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.67  | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.67  | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.67  | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.67  | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.67  | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.67  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.67  | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.67  | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.67  | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.67  | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.47/29.67  | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.47/29.67  | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.47/29.67  | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.47/29.67  | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.47/29.67  | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.67  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.47/29.67  | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.47/29.67  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.47/29.67  | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.47/29.67  | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.47/29.67  | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.67  | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.47/29.67  | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.47/29.67  | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.47/29.67  | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.47/29.67  | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.47/29.67  | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.67  | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.67  | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.67  | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.47/29.67  | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | BETA: splitting (12356) gives:
% 190.47/29.67  | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | |   (12357)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.67  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.67  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.67  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.67  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.67  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.67  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.67  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | BETA: splitting (12357) gives:
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | |   (12358)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.67  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.67  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.67  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12279), (12358), (function-axioms) are
% 190.47/29.67  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | |   (12359)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.67  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.67  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.67  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (12347), (12359),
% 190.47/29.67  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.67  | | | | | | | | | | | | | | | |            #1591.
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | End of split
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | |   (12360)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.67  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.47/29.67  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.47/29.67  | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.47/29.67  | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.67  | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.47/29.67  | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.67  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.47/29.67  | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.47/29.67  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.47/29.67  | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.47/29.67  | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | BETA: splitting (12360) gives:
% 190.47/29.67  | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | |   (12361)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.67  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.67  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.47/29.67  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.47/29.67  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.47/29.67  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | REF_CLOSE: (12286), (12361), (function-axioms) are
% 190.47/29.67  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #798.
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | |   (12362)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.47/29.67  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.47/29.67  | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.47/29.67  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.47/29.67  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.67  | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.67  | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.67  | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | BETA: splitting (12362) gives:
% 190.47/29.67  | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.67  | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | |   (12363)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.47/29.67  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.47/29.67  | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.47/29.67  | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 190.47/29.67  | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | ALPHA: (12363) implies:
% 190.47/29.67  | | | | | | | | | | | | | | | | |   (12364)   ~ (all_57_14 = e2)
% 190.47/29.67  | | | | | | | | | | | | | | | | |   (12365)  op(e1, e1) = all_57_14
% 190.47/29.67  | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | | REF_CLOSE: (9862), (12364), (12365), (function-axioms) are
% 190.47/29.67  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #435.
% 190.47/29.67  | | | | | | | | | | | | | | | | | 
% 190.47/29.67  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.67  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | |   (12366)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.47/29.68  | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (12352), (12366), (function-axioms)
% 190.47/29.68  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #430.
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | |   (12367)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.68  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.68  | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.68  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.68  | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.68  | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.68  | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.47/29.68  | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.47/29.68  | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.47/29.68  | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.47/29.68  | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.47/29.68  | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.68  | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.68  | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.68  | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.68  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.68  | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.47/29.68  | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.47/29.68  | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.47/29.68  | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.47/29.68  | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.47/29.68  | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.47/29.68  | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.47/29.68  | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.47/29.68  | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.47/29.68  | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.68  | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.68  | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.68  | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.68  | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.68  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.68  | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.68  | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.68  | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.68  | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.68  | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.68  | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.68  | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.68  | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.68  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.68  | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.68  | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.68  | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.68  | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.68  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.68  | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.68  | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.68  | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | BETA: splitting (12367) gives:
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | |   (12368)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.68  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.68  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.68  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.68  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.68  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.47/29.68  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.47/29.68  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.47/29.68  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.47/29.68  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.47/29.68  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.68  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.68  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.68  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.68  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.68  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.47/29.68  | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | BETA: splitting (12368) gives:
% 190.47/29.68  | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | |   (12369)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.68  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.68  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.68  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.68  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.68  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12286), (12347), (12369), (function-axioms)
% 190.47/29.68  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #811.
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | |   (12370)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.68  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.68  | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.68  | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.47/29.68  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.47/29.68  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.68  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.68  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.47/29.68  | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.47/29.68  | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.68  | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.47/29.68  | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | BETA: splitting (12370) gives:
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | |   (12371)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.68  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.68  | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.68  | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | ALPHA: (12371) implies:
% 190.47/29.68  | | | | | | | | | | | | | | | | |   (12372)  op(e0, e0) = e1
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12347), (12372), (function-axioms) are
% 190.47/29.68  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | |   (12373)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.68  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | BETA: splitting (12373) gives:
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | |   (12374)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | ALPHA: (12374) implies:
% 190.47/29.68  | | | | | | | | | | | | | | | | | |   (12375)  op(e2, e2) = e0
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12352), (12375), (function-axioms) are
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | |   (12376)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | ALPHA: (12376) implies:
% 190.47/29.68  | | | | | | | | | | | | | | | | | |   (12377)  op(e1, e1) = e0
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (12377), (function-axioms) are
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | |   (12378)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.68  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.68  | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.68  | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.68  | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.68  | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.68  | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.68  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.47/29.68  | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.47/29.68  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.68  | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.47/29.68  | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.47/29.68  | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.47/29.68  | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.47/29.68  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.47/29.68  | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.68  | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.47/29.68  | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.47/29.68  | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.47/29.68  | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.68  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.68  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.68  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.68  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.68  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.68  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.68  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.68  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.68  | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | BETA: splitting (12378) gives:
% 190.47/29.68  | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | |   (12379)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.68  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.68  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.68  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.68  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.68  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.68  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.68  | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12286), (12379), (function-axioms) are
% 190.47/29.68  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | |   (12380)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.68  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.68  | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.68  | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.68  | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.68  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.68  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.68  | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.68  | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.68  | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.68  | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.68  | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.68  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.68  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.68  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.68  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.68  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.68  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.68  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.68  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | BETA: splitting (12380) gives:
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | |   (12381)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.68  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.68  | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.68  | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | ALPHA: (12381) implies:
% 190.47/29.68  | | | | | | | | | | | | | | | | |   (12382)  op(e2, e0) = e2
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (12354), (12382), (function-axioms) are
% 190.47/29.68  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | |   (12383)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.47/29.68  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.68  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.47/29.68  | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.47/29.68  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.47/29.68  | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.47/29.68  | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | BETA: splitting (12383) gives:
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | |   (12384)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | ALPHA: (12384) implies:
% 190.47/29.68  | | | | | | | | | | | | | | | | | |   (12385)  op(e2, e2) = e0
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12352), (12385), (function-axioms) are
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | |   (12386)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | ALPHA: (12386) implies:
% 190.47/29.68  | | | | | | | | | | | | | | | | | |   (12387)  op(e0, e0) = all_57_15
% 190.47/29.68  | | | | | | | | | | | | | | | | | |   (12388)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.68  | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.68  | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (12347),
% 190.47/29.68  | | | | | | | | | | | | | | | | | |              (12387) gives:
% 190.47/29.68  | | | | | | | | | | | | | | | | | |   (12389)  all_57_15 = e2
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | BETA: splitting (12388) gives:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |   (12390)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (9862), (12347), (12387),
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |            (12390), (function-axioms) are inconsistent by
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |            sub-proof #529.
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |   (12391)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.68  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | BETA: splitting (12391) gives:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |   (12392)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | | ALPHA: (12392) implies:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |   (12393)   ~ (all_57_15 = e2)
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12347), (12387), (12393), (function-axioms) are
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |   (12394)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12286), (12352), (12394), (function-axioms)
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #654.
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | |   (12395)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 190.47/29.68  | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | REF_CLOSE: (158), (162), (9857), (12346), (12395),
% 190.47/29.68  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.68  | | | | | | | | | | | |            #427.
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | End of split
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | |   (12396)  all_24_2 = e1
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | COMBINE_EQS: (318), (12396) imply:
% 190.47/29.68  | | | | | | | | | |   (12397)  all_4_2 = e1
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | SIMP: (12397) implies:
% 190.47/29.68  | | | | | | | | | |   (12398)  all_4_2 = e1
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | REDUCE: (352), (12398) imply:
% 190.47/29.68  | | | | | | | | | |   (12399)   ~ (all_52_4 = e1)
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | REDUCE: (354), (12398) imply:
% 190.47/29.68  | | | | | | | | | |   (12400)   ~ (all_52_6 = e1)
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | REDUCE: (356), (12398) imply:
% 190.47/29.68  | | | | | | | | | |   (12401)   ~ (all_52_7 = e1)
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | REDUCE: (360), (12398) imply:
% 190.47/29.68  | | | | | | | | | |   (12402)   ~ (all_52_13 = e1)
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | REDUCE: (373), (12398) imply:
% 190.47/29.68  | | | | | | | | | |   (12403)   ~ (e3 = e1)
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | REDUCE: (36), (12398) imply:
% 190.47/29.68  | | | | | | | | | |   (12404)  op(e2, e2) = e1
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | BETA: splitting (227) gives:
% 190.47/29.68  | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | |   (12405)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 190.47/29.68  | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.47/29.68  | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | REF_CLOSE: (6), (170), (12281), (12404), (12405),
% 190.47/29.68  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.68  | | | | | | | | | | |            #578.
% 190.47/29.68  | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | |   (12406)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 190.47/29.68  | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 190.47/29.68  | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | BETA: splitting (12406) gives:
% 190.47/29.68  | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | |   (12407)  all_56_7 = e2 & op(e1, e2) = e2
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | ALPHA: (12407) implies:
% 190.47/29.68  | | | | | | | | | | | |   (12408)  op(e1, e2) = e2
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | REF_CLOSE: (162), (9857), (12408), (function-axioms) are
% 190.47/29.68  | | | | | | | | | | | |            inconsistent by sub-proof #429.
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | |   (12409)  all_56_13 = e2 & op(e0, e2) = e2
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | ALPHA: (12409) implies:
% 190.47/29.68  | | | | | | | | | | | |   (12410)  op(e0, e2) = e2
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | BETA: splitting (223) gives:
% 190.47/29.68  | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | |   (12411)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 190.47/29.68  | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.47/29.68  | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | REF_CLOSE: (6), (167), (12279), (12404), (12411),
% 190.47/29.68  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.68  | | | | | | | | | | | | |            #797.
% 190.47/29.68  | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | |   (12412)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 190.47/29.68  | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 190.47/29.68  | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | BETA: splitting (12412) gives:
% 190.47/29.68  | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | |   (12413)  all_56_5 = e2 & op(e2, e1) = e2
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | ALPHA: (12413) implies:
% 190.47/29.68  | | | | | | | | | | | | | |   (12414)  op(e2, e1) = e2
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | REF_CLOSE: (165), (9859), (12414), (function-axioms) are
% 190.47/29.68  | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | Case 2:
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | |   (12415)  all_56_10 = e2 & op(e2, e0) = e2
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | ALPHA: (12415) implies:
% 190.47/29.68  | | | | | | | | | | | | | |   (12416)  op(e2, e0) = e2
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 190.47/29.68  | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (12410) gives:
% 190.47/29.68  | | | | | | | | | | | | | |   (12417)  all_52_7 = e2
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 190.47/29.68  | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (12416) gives:
% 190.47/29.68  | | | | | | | | | | | | | |   (12418)  all_52_13 = e2
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | REDUCE: (371), (12418) imply:
% 190.47/29.68  | | | | | | | | | | | | | |   (12419)   ~ (all_14_2 = e2)
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | SIMP: (12419) implies:
% 190.47/29.68  | | | | | | | | | | | | | |   (12420)   ~ (all_14_2 = e2)
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.47/29.68  | | | | | | | | | | | | | | 
% 190.47/29.68  | | | | | | | | | | | | | | Case 1:
% 190.47/29.68  | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | |   (12421)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.47/29.69  | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.69  | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.69  | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.47/29.69  | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.47/29.69  | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.69  | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.69  | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.69  | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.69  | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.69  | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.69  | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.47/29.69  | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.69  | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.69  | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.69  | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.69  | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.69  | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.69  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.69  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.69  | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.47/29.69  | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.47/29.69  | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.47/29.69  | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.69  | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.47/29.69  | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.47/29.69  | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.69  | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.47/29.69  | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.47/29.69  | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.47/29.69  | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | BETA: splitting (12421) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | |   (12422)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.47/29.69  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.69  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.69  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.47/29.69  | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.47/29.69  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.69  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.69  | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.69  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.69  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.69  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.69  | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.47/29.69  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.69  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.47/29.69  | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | BETA: splitting (12422) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | |   (12423)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.47/29.69  | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.69  | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.69  | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.47/29.69  | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.47/29.69  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.69  | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.47/29.69  | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | BETA: splitting (12423) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | |   (12424)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.47/29.69  | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | ALPHA: (12424) implies:
% 190.47/29.69  | | | | | | | | | | | | | | | | | |   (12425)  op(e2, e3) = e3
% 190.47/29.69  | | | | | | | | | | | | | | | | | |   (12426)  op(e3, e2) = e3
% 190.47/29.69  | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | |   (12427)  all_54_15 = e3
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (12289), (12427) are inconsistent by
% 190.47/29.69  | | | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | |   (12428)   ~ (all_54_15 = e3)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | |   (12429)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | BETA: splitting (12429) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | |   (12430)  all_54_15 = e2
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (12420), (12430) are inconsistent by
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | |            sub-proof #1648.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | |   (12431)   ~ (all_54_15 = e2)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | |   (12432)  all_54_15 = e1 | all_54_15 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12432) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |   (12433)  all_54_15 = e1
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (12287), (12433) are inconsistent by
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1660.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |   (12434)  all_54_15 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (12434) imply:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |   (12435)  all_14_2 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | SIMP: (12435) implies:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |   (12436)  all_14_2 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (12436) imply:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |   (12437)   ~ (all_52_11 = e0)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (12436) imply:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |   (12438)   ~ (all_52_14 = e0)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | REDUCE: (12289), (12436) imply:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |   (12439)   ~ (e3 = e0)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | REDUCE: (12420), (12436) imply:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |   (12440)   ~ (e2 = e0)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | REDUCE: (12287), (12436) imply:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |   (12441)   ~ (e1 = e0)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (12436) imply:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | |   (12442)  op(e0, e0) = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |   (12443)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12443) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |   (12444)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12444) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |   (12445)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12425), (12445), (function-axioms) are
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1442.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |   (12446)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (12404), (12442), (12446),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |            #1146.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |   (12447)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12447) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |   (12448)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12286), (12448), (function-axioms) are
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #798.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |   (12449)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (162), (169), (170), (12400), (12426),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |            (12449), (function-axioms) are inconsistent by
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #426.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |   (12450)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12450) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |   (12451)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12451) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |   (12452)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12452) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (12453)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12453) implies:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (12454)  op(e0, e0) = e1
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12442), (12454), (function-axioms) are
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (12455)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12455) implies:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (12456)  op(e3, e3) = e1
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (168), (169), (234), (9858), (12282),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            (12426), (12456), (function-axioms) are
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |   (12457)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12457) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (12458)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12458) implies:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (12459)  op(e0, e0) = e1
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12442), (12459), (function-axioms) are
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (12460)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12460) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12461)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12461) implies:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12462)   ~ (all_57_11 = e2)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12463)  op(e2, e0) = all_57_11
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12416), (12462), (12463), (function-axioms) are
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #433.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12464)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12464) implies:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12465)  op(e1, e1) = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (73),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (112), (117), (120), (121), (125), (134),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (135), (139), (140), (144), (148), (157), (158),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (190), (191), (192),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (193), (202), (207), (214), (215), (216), (218),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (225), (226), (227), (228),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (238), (246), (247), (248), (249),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (271), (330), (362), (369), (371), (372),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (9856), (9858), (12276), (12278), (12279),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (12280), (12281), (12286), (12287), (12289),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (12399), (12400), (12401), (12404), (12437),
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (12438), (12465), (function-axioms) are
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #745.
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |   (12466)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12466) gives:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |   (12467)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12286), (12467), (function-axioms) are
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |   (12468)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12468) gives:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (12469)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12469) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (12470)  op(e1, e1) = e0
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (51), (73),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (112), (117), (120), (121), (125), (134),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (135), (139), (140), (144), (148), (157), (158),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (190), (191), (192),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (193), (202), (207), (214), (215), (216), (218),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (225), (226), (227), (228),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (238), (246), (247), (248), (249),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (271), (330), (362), (369), (371), (372),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (9856), (9858), (12276), (12278), (12279),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (12280), (12281), (12286), (12287), (12289),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (12399), (12400), (12401), (12404), (12437),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (12438), (12470), (function-axioms) are
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #745.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (12471)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12471) gives:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12472)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12472) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12473)   ~ (all_57_11 = e2)
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12474)  op(e2, e0) = all_57_11
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12416), (12473), (12474), (function-axioms) are
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #433.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12475)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12475) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12476)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (159), (246), (351),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (362), (369), (12286), (12287), (12404), (12420),
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (12429), (12476), (function-axioms) are
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #680.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12477)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 190.47/29.70  | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | ALPHA: (12477) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12478)  op(e2, e2) = e3
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12404), (12478), (function-axioms) are
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | |   (12479)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | BETA: splitting (12479) gives:
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12480)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | ALPHA: (12480) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12481)  op(e3, e3) = e1
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12286), (12481), (function-axioms) are
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12482)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | ALPHA: (12482) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12483)  op(e1, e1) = e3
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (12483), (function-axioms) are
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | |   (12484)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.70  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.47/29.70  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.47/29.70  | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.70  | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.47/29.70  | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.47/29.70  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.47/29.70  | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.47/29.70  | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | BETA: splitting (12484) gives:
% 190.47/29.70  | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | |   (12485)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | BETA: splitting (12485) gives:
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12486)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | ALPHA: (12486) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12487)  op(e3, e3) = e0
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12286), (12487), (function-axioms) are
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12488)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | ALPHA: (12488) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12489)  op(e0, e0) = e3
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (12287), (12289), (12420),
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            (12489), (function-axioms) are inconsistent by
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            sub-proof #1646.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | |   (12490)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9857), (12400), (12490), (function-axioms)
% 190.47/29.70  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #425.
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | |   (12491)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.70  | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.70  | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.47/29.70  | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.47/29.70  | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.47/29.70  | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.70  | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.47/29.70  | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.47/29.70  | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.47/29.70  | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.47/29.70  | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.47/29.70  | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.47/29.70  | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.47/29.70  | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.47/29.70  | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.70  | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.47/29.70  | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.47/29.70  | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.47/29.70  | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.70  | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.47/29.70  | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.47/29.70  | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.47/29.70  | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.47/29.70  | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.70  | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.70  | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.47/29.70  | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.47/29.70  | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.47/29.70  | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.70  | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.47/29.70  | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | BETA: splitting (12491) gives:
% 190.47/29.70  | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.70  | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | |   (12492)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.70  | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.47/29.70  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.47/29.70  | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.70  | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.47/29.70  | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.47/29.70  | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.47/29.70  | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.47/29.70  | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.47/29.70  | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | BETA: splitting (12492) gives:
% 190.47/29.70  | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | |   (12493)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.70  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | BETA: splitting (12493) gives:
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12494)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | ALPHA: (12494) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12495)  op(e2, e2) = e0
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12404), (12495), (function-axioms) are
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12496)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | ALPHA: (12496) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12497)  op(e0, e0) = e2
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (12287), (12289), (12420),
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            (12497), (function-axioms) are inconsistent by
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            sub-proof #1643.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | |   (12498)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.47/29.70  | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.47/29.70  | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.47/29.70  | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.47/29.70  | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | BETA: splitting (12498) gives:
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12499)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | ALPHA: (12499) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12500)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12404), (12416), (12500), (function-axioms)
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #424.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12501)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 190.47/29.70  | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 190.47/29.70  | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | ALPHA: (12501) implies:
% 190.47/29.70  | | | | | | | | | | | | | | | | | |   (12502)  op(e0, e0) = e1
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (12287), (12289), (12420),
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            (12502), (function-axioms) are inconsistent by
% 190.47/29.70  | | | | | | | | | | | | | | | | | |            sub-proof #1641.
% 190.47/29.70  | | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | | 
% 190.47/29.70  | | | | | | | | | | | | | | | | End of split
% 190.47/29.70  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | |   (12503)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.47/29.71  | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.47/29.71  | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.47/29.71  | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.47/29.71  | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.71  | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.47/29.71  | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.47/29.71  | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.47/29.71  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.71  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.47/29.71  | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.47/29.71  | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.47/29.71  | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.47/29.71  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.71  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.71  | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.47/29.71  | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.47/29.71  | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.47/29.71  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.71  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.71  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.71  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | BETA: splitting (12503) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | |   (12504)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.47/29.71  | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.47/29.71  | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.47/29.71  | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | BETA: splitting (12504) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | |   (12505)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | ALPHA: (12505) implies:
% 190.47/29.71  | | | | | | | | | | | | | | | | | |   (12506)  op(e3, e3) = e3
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12286), (12506), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | |   (12507)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | ALPHA: (12507) implies:
% 190.47/29.71  | | | | | | | | | | | | | | | | | |   (12508)  op(e2, e2) = e2
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12404), (12508), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | |   (12509)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.47/29.71  | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.47/29.71  | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.47/29.71  | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.71  | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.71  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.71  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | BETA: splitting (12509) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | |   (12510)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | ALPHA: (12510) implies:
% 190.47/29.71  | | | | | | | | | | | | | | | | | |   (12511)  op(e1, e1) = e1
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (12511), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | |   (12512)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | ALPHA: (12512) implies:
% 190.47/29.71  | | | | | | | | | | | | | | | | | |   (12513)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12404), (12416), (12513), (function-axioms)
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #424.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | |   (12514)  all_18_2 = e3
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | COMBINE_EQS: (301), (12514) imply:
% 190.47/29.71  | | | | | | | | |   (12515)  all_14_2 = e3
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | SIMP: (12515) implies:
% 190.47/29.71  | | | | | | | | |   (12516)  all_14_2 = e3
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | REDUCE: (351), (12516) imply:
% 190.47/29.71  | | | | | | | | |   (12517)   ~ (all_52_3 = e3)
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | REDUCE: (362), (12516) imply:
% 190.47/29.71  | | | | | | | | |   (12518)   ~ (all_52_7 = e3)
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | REDUCE: (369), (12516) imply:
% 190.47/29.71  | | | | | | | | |   (12519)   ~ (all_52_11 = e3)
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | REDUCE: (370), (12516) imply:
% 190.47/29.71  | | | | | | | | |   (12520)   ~ (all_52_12 = e3)
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | REDUCE: (371), (12516) imply:
% 190.47/29.71  | | | | | | | | |   (12521)   ~ (all_52_13 = e3)
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | REDUCE: (372), (12516) imply:
% 190.47/29.71  | | | | | | | | |   (12522)   ~ (all_52_14 = e3)
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | REDUCE: (51), (12516) imply:
% 190.47/29.71  | | | | | | | | |   (12523)  op(e0, e0) = e3
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | BETA: splitting (211) gives:
% 190.47/29.71  | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | |   (12524)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 190.47/29.71  | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 190.47/29.71  | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | BETA: splitting (12524) gives:
% 190.47/29.71  | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | |   (12525)  all_56_9 = e2 & op(e3, e0) = e2
% 190.47/29.71  | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | REF_CLOSE: (168), (12282), (12525), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | |            inconsistent by sub-proof #737.
% 190.47/29.71  | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | |   (12526)  all_56_10 = e2 & op(e2, e0) = e2
% 190.47/29.71  | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | ALPHA: (12526) implies:
% 190.47/29.71  | | | | | | | | | | |   (12527)  op(e2, e0) = e2
% 190.47/29.71  | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | BETA: splitting (208) gives:
% 190.47/29.71  | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | |   (12528)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 190.47/29.71  | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 190.47/29.71  | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | BETA: splitting (12528) gives:
% 190.47/29.71  | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | |   (12529)  all_56_12 = e2 & op(e0, e3) = e2
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | REF_CLOSE: (159), (12280), (12529), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | |   (12530)  all_56_13 = e2 & op(e0, e2) = e2
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | ALPHA: (12530) implies:
% 190.47/29.71  | | | | | | | | | | | | |   (12531)  all_56_13 = e2
% 190.47/29.71  | | | | | | | | | | | | |   (12532)  op(e0, e2) = e2
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 190.47/29.71  | | | | | | | | | | | | |              e2, e0, simplifying with (158), (12532) gives:
% 190.47/29.71  | | | | | | | | | | | | |   (12533)  all_52_7 = e2
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 190.47/29.71  | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (12527) gives:
% 190.47/29.71  | | | | | | | | | | | | |   (12534)  all_52_13 = e2
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | REDUCE: (125), (12533) imply:
% 190.47/29.71  | | | | | | | | | | | | |   (12535)   ~ (all_52_11 = e2)
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | REDUCE: (360), (12534) imply:
% 190.47/29.71  | | | | | | | | | | | | |   (12536)   ~ (all_4_2 = e2)
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | SIMP: (12536) implies:
% 190.47/29.71  | | | | | | | | | | | | |   (12537)   ~ (all_4_2 = e2)
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | REDUCE: (12521), (12534) imply:
% 190.47/29.71  | | | | | | | | | | | | |   (12538)   ~ (e3 = e2)
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | BETA: splitting (67) gives:
% 190.47/29.71  | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | |   (12539)   ~ (all_24_2 = e1)
% 190.47/29.71  | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | REDUCE: (318), (12539) imply:
% 190.47/29.71  | | | | | | | | | | | | | |   (12540)   ~ (all_4_2 = e1)
% 190.47/29.71  | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 190.47/29.71  | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | |   (12541)  all_54_5 = e3
% 190.47/29.71  | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12541) imply:
% 190.47/29.71  | | | | | | | | | | | | | | |   (12542)  all_4_2 = e3
% 190.47/29.71  | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | REDUCE: (373), (12542) imply:
% 190.47/29.71  | | | | | | | | | | | | | | |   (12543)  $false
% 190.47/29.71  | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | CLOSE: (12543) is inconsistent.
% 190.47/29.71  | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | |   (12544)   ~ (all_54_5 = e3)
% 190.47/29.71  | | | | | | | | | | | | | | |   (12545)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 190.47/29.71  | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | BETA: splitting (12545) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | |   (12546)  all_54_5 = e2
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12546) imply:
% 190.47/29.71  | | | | | | | | | | | | | | | |   (12547)  all_4_2 = e2
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | REDUCE: (12537), (12547) imply:
% 190.47/29.71  | | | | | | | | | | | | | | | |   (12548)  $false
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | CLOSE: (12548) is inconsistent.
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | |   (12549)   ~ (all_54_5 = e2)
% 190.47/29.71  | | | | | | | | | | | | | | | |   (12550)  all_54_5 = e1 | all_54_5 = e0
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | BETA: splitting (12550) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | |   (12551)  all_54_5 = e1
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12551) imply:
% 190.47/29.71  | | | | | | | | | | | | | | | | |   (12552)  all_4_2 = e1
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | REDUCE: (12540), (12552) imply:
% 190.47/29.71  | | | | | | | | | | | | | | | | |   (12553)  $false
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | CLOSE: (12553) is inconsistent.
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | |   (12554)  all_54_5 = e0
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12554) imply:
% 190.47/29.71  | | | | | | | | | | | | | | | | |   (12555)  all_4_2 = e0
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | REDUCE: (12537), (12555) imply:
% 190.47/29.71  | | | | | | | | | | | | | | | | |   (12556)   ~ (e2 = e0)
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | REDUCE: (12540), (12555) imply:
% 190.47/29.71  | | | | | | | | | | | | | | | | |   (12557)   ~ (e1 = e0)
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | REDUCE: (36), (12555) imply:
% 190.47/29.71  | | | | | | | | | | | | | | | | |   (12558)  op(e2, e2) = e0
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | |   (12559)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | BETA: splitting (12559) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |   (12560)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (12560) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |   (12561)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12279), (12561), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |   (12562)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12562) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12563)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12563) implies:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12564)  op(e2, e2) = e3
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (12564), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12565)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12565) implies:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12566)   ~ (all_57_2 = e0)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12567)  op(e0, e3) = all_57_2
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12568)  op(e1, e3) = e1
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              all_57_2, e3, e0, simplifying with (159), (12567)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12569)  all_57_2 = all_52_3
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (12568) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12570)  all_52_2 = e1
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12570) imply:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12571)   ~ (all_52_3 = e1)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | SIMP: (12571) implies:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12572)   ~ (all_52_3 = e1)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (192), (249), (12280), (12517), (12566),
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            (12567), (12572), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #984.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |   (12573)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (12573) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |   (12574)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12286), (12574), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #798.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |   (12575)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12575) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12576)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12576) implies:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12577)   ~ (all_57_14 = e2)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12578)  op(e1, e1) = all_57_14
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9862), (12577), (12578), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #435.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |   (12579)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12579) gives:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |   (12580)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12580) implies:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |   (12581)   ~ (all_57_14 = e2)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |   (12582)  op(e1, e1) = all_57_14
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9862), (12581), (12582), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #435.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |   (12583)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12583) implies:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |   (12584)  op(e2, e2) = e1
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12558), (12584), (function-axioms) are
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.71  | | | | | | | | | | | | | | | | | | 
% 190.47/29.71  | | | | | | | | | | | | | | | | | |   (12585)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.47/29.71  | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.71  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.72  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | BETA: splitting (12585) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |   (12586)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | BETA: splitting (12586) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |   (12587)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (12286), (12523), (12587),
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |            #676.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |   (12588)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (12520), (12523), (12588),
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |            #1189.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |   (12589)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | BETA: splitting (12589) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |   (12590)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12286), (12590), (function-axioms) are
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |   (12591)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12591) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |   (12592)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12592) implies:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |   (12593)  op(e1, e1) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (12593), (function-axioms) are
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |   (12594)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12594) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |   (12595)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12595) implies:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |   (12596)   ~ (all_57_11 = e2)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |   (12597)  op(e2, e0) = all_57_11
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12527), (12596), (12597), (function-axioms) are
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #433.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |   (12598)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12598) implies:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |   (12599)  op(e0, e0) = all_57_15
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |   (12600)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12600) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |   (12601)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12601) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12602)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12602) implies:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12603)  op(e2, e2) = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (12603), (function-axioms) are
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12604)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12523), (12532), (12599), (12604),
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            #422.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |   (12605)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12605) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12606)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12606) implies:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12607)  op(e0, e2) = e0
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12532), (12607), (function-axioms) are
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12608)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12286), (12558), (12608),
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            #548.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | End of split
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | |   (12609)  all_24_2 = e1
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | COMBINE_EQS: (318), (12609) imply:
% 190.47/29.72  | | | | | | | | | | | | | |   (12610)  all_4_2 = e1
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | REDUCE: (349), (12610) imply:
% 190.47/29.72  | | | | | | | | | | | | | |   (12611)   ~ (all_52_1 = e1)
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | REDUCE: (352), (12610) imply:
% 190.47/29.72  | | | | | | | | | | | | | |   (12612)   ~ (all_52_4 = e1)
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | REDUCE: (354), (12610) imply:
% 190.47/29.72  | | | | | | | | | | | | | |   (12613)   ~ (all_52_6 = e1)
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | REDUCE: (358), (12610) imply:
% 190.47/29.72  | | | | | | | | | | | | | |   (12614)   ~ (all_52_9 = e1)
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | REDUCE: (373), (12610) imply:
% 190.47/29.72  | | | | | | | | | | | | | |   (12615)   ~ (e3 = e1)
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | REDUCE: (12537), (12610) imply:
% 190.47/29.72  | | | | | | | | | | | | | |   (12616)   ~ (e2 = e1)
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | REDUCE: (36), (12610) imply:
% 190.47/29.72  | | | | | | | | | | | | | |   (12617)  op(e2, e2) = e1
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 190.47/29.72  | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | |   (12618)  all_54_14 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12618) imply:
% 190.47/29.72  | | | | | | | | | | | | | | |   (12619)  all_52_11 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | REDUCE: (12519), (12619) imply:
% 190.47/29.72  | | | | | | | | | | | | | | |   (12620)  $false
% 190.47/29.72  | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | CLOSE: (12620) is inconsistent.
% 190.47/29.72  | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | |   (12621)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 190.47/29.72  | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | |   (12622)  all_54_6 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (12622) imply:
% 190.47/29.72  | | | | | | | | | | | | | | | |   (12623)  all_52_9 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | REDUCE: (146), (12623) imply:
% 190.47/29.72  | | | | | | | | | | | | | | | |   (12624)   ~ (all_52_1 = e3)
% 190.47/29.72  | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | REDUCE: (123), (12623) imply:
% 190.47/29.72  | | | | | | | | | | | | | | | |   (12625)   ~ (all_52_8 = e3)
% 190.47/29.72  | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | |   (12626)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 190.47/29.72  | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | BETA: splitting (12626) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | |   (12627)  all_56_0 = e3 & op(e3, e3) = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | ALPHA: (12627) implies:
% 190.47/29.72  | | | | | | | | | | | | | | | | | |   (12628)  op(e3, e3) = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12286), (12628), (function-axioms) are
% 190.47/29.72  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | |   (12629)  all_56_1 = e3 & op(e3, e2) = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | ALPHA: (12629) implies:
% 190.47/29.72  | | | | | | | | | | | | | | | | | |   (12630)  all_56_1 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | |   (12631)  op(e3, e2) = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | Case 1:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |   (12632)  all_54_4 = e3
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (12624), (12632) are inconsistent by
% 190.47/29.72  | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.47/29.72  | | | | | | | | | | | | | | | | | | Case 2:
% 190.47/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | |   (12633)   ~ (all_54_4 = e3)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | |   (12634)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | |   (12635)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (12617), (12630), (12635),
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | |            #421.
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | |   (12636)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12636) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | |   (12637)  all_56_7 = e0 & op(e1, e2) = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12637) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | |   (12638)  all_56_7 = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12634) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | |   (12639)  all_54_4 = e2
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (12279), (12639) are inconsistent by
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1833.
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | |   (12640)   ~ (all_54_4 = e2)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | |   (12641)  all_54_4 = e1 | all_54_4 = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | |   (12642)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12642) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12643)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12643) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12644)  op(e2, e3) = e3
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12641) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (12645)  all_54_4 = e1
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (12611), (12645) are inconsistent by
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1832.
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (12646)  all_54_4 = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (12646) imply:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (12647)  all_52_1 = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12647) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (12648)  all_52_1 = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12624), (12648) imply:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (12649)   ~ (e3 = e0)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (12648) imply:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (12650)  op(e2, e3) = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12644), (12650), (function-axioms) are
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #420.
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12651)  all_56_3 = e3 & op(e2, e2) = e3
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12651) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12652)  op(e2, e2) = e3
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12617), (12652), (function-axioms) are
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | |   (12653)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12653) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12654)  all_56_5 = e3 & op(e2, e1) = e3
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12654) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (12655)  all_56_5 = e3
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (12656)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12656) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12657)  all_56_6 = e3 & op(e1, e3) = e3
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12657) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12658)  all_56_6 = e3
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12659)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (12613), (12658), (12659),
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1349.
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12660)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12660) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12661)  all_56_8 = e1 & op(e1, e1) = e1
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12661) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12662)  op(e1, e1) = e1
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (12662), (function-axioms) are
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12663)  all_56_11 = e1 & op(e1, e0) = e1
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12663) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12664)  all_56_11 = e1
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12665)  op(e1, e0) = e1
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12666)  all_56_15 = e0 & op(e0, e0) = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12666) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12667)  op(e0, e0) = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12523), (12667), (function-axioms) are
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12668)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12668) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12669)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12669) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12670)  all_56_9 = e0 & op(e3, e0) = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12670) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12671)  all_56_9 = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12672)  op(e3, e0) = e0
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12673)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12673) gives:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12674)  all_56_0 = e1 & op(e3, e3) = e1
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12674) implies:
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12675)  op(e3, e3) = e1
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (168), (169), (234), (9858), (12282),
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12631), (12675), (function-axioms) are
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12676)  all_56_1 = e1 & op(e3, e2) = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12676) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12677)  all_56_1 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (12286), (12625),
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12672), (12677), (function-axioms) are
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #688.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12678)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12678) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12679)  all_56_4 = e1 & op(e3, e1) = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12679) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12680)  all_56_4 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12681)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12681) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12682)  all_56_0 = e1 & op(e3, e3) = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12682) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12683)  op(e3, e3) = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (168), (169), (234), (9858), (12282),
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12631), (12683), (function-axioms) are
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12684)  all_56_2 = e1 & op(e2, e3) = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12684) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12685)  all_56_2 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (165), (221), (223), (9859),
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12617), (12655), (12685), (function-axioms) are
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #472.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12686)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12686) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12687)  all_56_6 = e1 & op(e1, e3) = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12687) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12688)  all_56_6 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12658), (12688) imply:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12689)  e3 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12630), (12689) imply:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12690)  all_56_1 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (12286), (12625),
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12672), (12690), (function-axioms) are
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #688.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12691)  all_56_12 = e1 & op(e0, e3) = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12691) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12692)  all_56_12 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12641) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12693)  all_54_4 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (12611), (12693) are inconsistent by
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1832.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12694)  all_54_4 = e0
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (12694) imply:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12695)  all_52_1 = e0
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12695) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12696)  all_52_1 = e0
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (12696) imply:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12697)   ~ (all_52_3 = e0)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12697) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12698)   ~ (all_52_3 = e0)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12624), (12696) imply:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12699)   ~ (e3 = e0)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12279), (12696) imply:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12700)   ~ (e2 = e0)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12611), (12696) imply:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12701)   ~ (e1 = e0)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (12696) imply:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12702)  op(e2, e3) = e0
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12703)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12703) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12704)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12704) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12705)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12705) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12706)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12706) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12707)  op(e2, e3) = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12702), (12707), (function-axioms) are
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #420.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12708)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12708) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12709)  op(e2, e2) = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12617), (12709), (function-axioms) are
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12710)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12710) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12711)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12711) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12712)  op(e3, e3) = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (168), (169), (234), (9858), (12282),
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12631), (12712), (function-axioms) are
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12713)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12713) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12714)  op(e1, e1) = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (217), (219), (12655),
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12680), (12714), (function-axioms) are
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1093.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12715)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12715) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12716)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (12286), (12698), (12716),
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #830.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12717)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9857), (12613), (12717), (function-axioms)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #425.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12718)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12718) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12719)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12719) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12720)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12720) gives:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12721)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12721) implies:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12722)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (12665), (12722), (function-axioms)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #496.
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12723)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12723) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12724)  op(e2, e0) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (12611), (12641), (12724),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #671.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12725)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (12523), (12527), (12617), (12725),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #419.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12726)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12726) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12727)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12727) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12728)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12728) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12729)  op(e3, e3) = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12658), (12692), (12729), (function-axioms) are
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1542.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12730)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12730) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12731)  op(e2, e2) = e2
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (12531), (12631), (12638),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12731), (function-axioms) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #727.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12732)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9862), (12665), (12732),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #495.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12733)  all_56_9 = e1 & op(e3, e0) = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12733) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12734)  all_56_9 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12671), (12734) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1030.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12735)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12735) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12736)  all_56_10 = e0 & op(e2, e0) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12736) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12737)  op(e2, e0) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (12611), (12641), (12737),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #671.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12738)  all_56_11 = e0 & op(e1, e0) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12664), (12738) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1202.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12739)  all_56_7 = e3 & op(e1, e2) = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12739) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12740)  all_56_7 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12638), (12740) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1797.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (12741)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9862), (12522), (12741),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |            #507.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |   (12742)  all_56_10 = e3 & op(e2, e0) = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (12521), (12742), (function-axioms) are
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | |   (12743)  all_56_13 = e0 & op(e0, e2) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12743) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | |   (12744)  all_56_13 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12531), (12744) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1357.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | |   (12745)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (12520), (12625), (12745),
% 190.83/29.74  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.74  | | | | | | | | | | | | | | | | |            #1296.
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | End of split
% 190.83/29.74  | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | |   (12746)   ~ (all_54_6 = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | |   (12747)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | REDUCE: (261), (12746) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | |   (12748)   ~ (all_52_9 = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | BETA: splitting (12747) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | |   (12749)  all_54_6 = e2
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (12749) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | |   (12750)  all_52_9 = e2
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | REDUCE: (9859), (12750) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | |   (12751)  $false
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | CLOSE: (12751) is inconsistent.
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | |   (12752)   ~ (all_54_6 = e2)
% 190.83/29.74  | | | | | | | | | | | | | | | | |   (12753)  all_54_6 = e1 | all_54_6 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | |   (12754)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | BETA: splitting (12754) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | |   (12755)  all_56_4 = e3 & op(e3, e1) = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | ALPHA: (12755) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | |   (12756)  all_56_4 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | |   (12757)  op(e3, e1) = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | |   (12758)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (12286), (12612), (12758),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | |            #800.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | |   (12759)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12759) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | |   (12760)  all_56_4 = e1 & op(e3, e1) = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12760) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | |   (12761)  op(e3, e1) = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12757), (12761), (function-axioms) are
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | |   (12762)  all_56_9 = e1 & op(e3, e0) = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12762) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | |   (12763)  all_56_9 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | |   (12764)  op(e3, e0) = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | |   (12765)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12765) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | |   (12766)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12766) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | |   (12767)  all_56_2 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |   (12768)  all_56_15 = e0 & op(e0, e0) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12768) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |   (12769)  op(e0, e0) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12523), (12769), (function-axioms) are
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |   (12770)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12770) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |   (12771)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (12772)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (12614), (12757), (12772),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |            #418.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (12773)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12773) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12774)  all_56_8 = e1 & op(e1, e1) = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12774) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12775)  op(e1, e1) = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9862), (12775), (function-axioms) are
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12776)  all_56_14 = e1 & op(e0, e1) = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12776) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12777)  all_56_14 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12771) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12778)  all_56_12 = e0 & op(e0, e3) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12778) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12779)  all_56_12 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12780)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (164), (165), (221),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (9859), (12286), (12521), (12617),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12780), (function-axioms) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #417.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12781)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12781) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12782)  all_56_6 = e1 & op(e1, e3) = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12782) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12783)  all_56_6 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12784)  op(e1, e3) = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12785)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12785) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12786)  all_56_0 = e0 & op(e3, e3) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12786) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12787)  op(e3, e3) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12286), (12787), (function-axioms) are
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12788)  all_56_1 = e0 & op(e3, e2) = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12788) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12789)  all_56_1 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12790)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (134), (169), (170), (12617), (12757),
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12790), (function-axioms) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #416.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12791)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12791) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12792)  all_56_7 = e3 & op(e1, e2) = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12792) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12793)  all_56_7 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12794)  op(e1, e2) = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12753) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12795)  all_54_6 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (12614), (12795) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12796)  all_54_6 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (12796) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12797)  all_52_9 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12797) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12798)  all_52_9 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (12798) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12799)   ~ (all_52_8 = e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (12798) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12800)   ~ (all_52_11 = e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12800) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12801)   ~ (all_52_11 = e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12621) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12802)  all_54_14 = e2
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12802) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12803)  all_52_11 = e2
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9860), (12803) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12804)  $false
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12804) is inconsistent.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12805)   ~ (all_54_14 = e2)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12806)  all_54_14 = e1 | all_54_14 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12806) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12807)  all_54_14 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12807) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12808)  all_52_11 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (12808) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12809)   ~ (all_52_3 = e1)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (12808) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12810)   ~ (all_52_8 = e1)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12811)  all_54_2 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (12811) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12812)  all_52_8 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12812) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12813)  all_52_8 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (12813) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12814)   ~ (all_52_4 = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12815)  all_54_12 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (12517), (12815) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1466.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12816)   ~ (all_54_12 = e3)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12817)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12817) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12818)  all_54_12 = e2
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (12280), (12818) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1465.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12819)   ~ (all_54_12 = e2)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12820)  all_54_12 = e1 | all_54_12 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12820) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12821)  all_54_12 = e1
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (12809), (12821) are inconsistent by
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1464.
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12822)  all_54_12 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (12822) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12823)  all_52_3 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12823) implies:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12824)  all_52_3 = e0
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12824) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12825)   ~ (all_52_2 = e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12517), (12824) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12826)   ~ (e3 = e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12280), (12824) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12827)   ~ (e2 = e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12809), (12824) imply:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12828)   ~ (e1 = e0)
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12829)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12829) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12830)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12830) gives:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12831)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (12617), (12814), (12831),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1673.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12832)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12832) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12833)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12833) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12834)  op(e3, e3) = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12286), (12834), (function-axioms) are
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12835)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12835) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12836)  op(e3, e1) = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12810), (12836), (function-axioms) are
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12837)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12837) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12838)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12838) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12839)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12839) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12840)  op(e3, e3) = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12286), (12840), (function-axioms) are
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12841)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12841) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12842)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (12783),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12784), (12793), (12842), (function-axioms) are
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #542.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12843)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (12613), (12794), (12843),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #635.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12844)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12844) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12845)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12845) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12846)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12846) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12847)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12847) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12848)  op(e2, e2) = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12849)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12789), (12848), (12849), (function-axioms)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1309.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12850)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12850) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12851)  all_56_7 = e1 & op(e1, e2) = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12851) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12852)  all_56_7 = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (227), (228),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (12789), (12848), (12852),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1903.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12853)  all_56_13 = e1 & op(e0, e2) = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12853) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12854)  all_56_13 = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12531), (12854) are inconsistent by
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1916.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12855)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12855) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12856)  op(e0, e0) = e2
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (206), (209), (12531),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12777), (12856), (function-axioms) are
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1122.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12857)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (12523), (12527), (12617), (12857),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #419.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12858)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12858) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12859)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12859) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12860)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12860) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12861)  op(e3, e3) = e3
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (12767), (12825), (12861),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1720.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12862)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12862) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12863)  op(e2, e2) = e2
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12617), (12863), (function-axioms) are
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12864)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9862), (12527), (12617), (12864),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #415.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12865)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12865) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12866)  all_54_2 = e2
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9858), (12866) are inconsistent by
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1761.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12867)  all_54_2 = e1 | all_54_2 = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (271), (12764), (12799), (12867),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #503.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12868)  all_54_14 = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12868) imply:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12869)  all_52_11 = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12801), (12869) imply:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12870)  $false
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12870) is inconsistent.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12871)  all_56_13 = e3 & op(e0, e2) = e3
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12871) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12872)  op(e0, e2) = e3
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (12518), (12872), (function-axioms) are
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12873)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12873) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12874)  all_56_4 = e0 & op(e3, e1) = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12874) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12875)  all_56_4 = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12756), (12875) imply:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12876)  e3 = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12767), (12876) imply:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12877)  all_56_2 = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (224), (12521), (12617),
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12748), (12877), (function-axioms) are
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #581.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12878)  all_56_9 = e0 & op(e3, e0) = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12763), (12878) are inconsistent by
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1875.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12879)  all_56_12 = e1 & op(e0, e3) = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12879) implies:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12880)  all_56_12 = e1
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12779), (12880) are inconsistent by
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1723.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12881)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12881) gives:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12882)  all_56_13 = e0 & op(e0, e2) = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12531), (12882) are inconsistent by
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1208.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12883)  all_56_14 = e0 & op(e0, e1) = e0
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12777), (12883) are inconsistent by
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1207.
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.75  | | | | | | | | | | | | | | | | | | | | | | |   (12884)  all_56_3 = e3 & op(e2, e2) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12884) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | |   (12885)  op(e2, e2) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12617), (12885), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |   (12886)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (12521), (12748), (12886),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |            #1455.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | |   (12887)  all_56_5 = e3 & op(e2, e1) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | ALPHA: (12887) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | |   (12888)  op(e2, e1) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12748), (12888), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | |   (12889)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | BETA: splitting (12889) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | |   (12890)  all_56_8 = e3 & op(e1, e1) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | ALPHA: (12890) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | |   (12891)  op(e1, e1) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (12891), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | |   (12892)  all_56_14 = e3 & op(e0, e1) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | ALPHA: (12892) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | |   (12893)  all_56_14 = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |   (12894)  all_56_15 = e0 & op(e0, e0) = e0
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | ALPHA: (12894) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |   (12895)  op(e0, e0) = e0
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12523), (12895), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |   (12896)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | ALPHA: (12896) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |   (12897)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12897) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | |   (12898)  all_56_12 = e0 & op(e0, e3) = e0
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12898) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | |   (12899)  all_56_12 = e0
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |   (12900)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (164), (165), (221),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (9859), (12286), (12521), (12617),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |            (12900), (function-axioms) are inconsistent by
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #417.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |   (12901)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12901) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | |   (12902)  all_56_6 = e1 & op(e1, e3) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12902) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | |   (12903)  all_56_6 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | |   (12904)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12904) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (12905)  all_56_0 = e3 & op(e3, e3) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12905) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (12906)  op(e3, e3) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12286), (12906), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (12907)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12907) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (12908)  all_56_2 = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12909)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12909) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12910)  all_56_4 = e1 & op(e3, e1) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12910) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12911)  all_56_4 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12912)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12912) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12913)  all_56_12 = e1 & op(e0, e3) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12913) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12914)  all_56_12 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12899), (12914) are inconsistent by
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1723.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12915)  all_56_13 = e1 & op(e0, e2) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12915) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12916)  all_56_13 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12531), (12916) are inconsistent by
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1916.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12917)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12917) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12918)  all_56_14 = e1 & op(e0, e1) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12918) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12919)  all_56_14 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12893), (12919) imply:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12920)  e3 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12920) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12921)  e3 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12908), (12921) imply:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12922)  all_56_2 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12923)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12617), (12922), (12923), (function-axioms)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #474.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12924)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12924) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12925)  all_56_5 = e2 & op(e2, e1) = e2
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12925) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12926)  op(e2, e1) = e2
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9859), (12926), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12526) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12927)  all_56_10 = e2
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (220), (221), (224), (229),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (12285), (12617), (12903), (12911),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12922), (12927), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #413.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12928)  all_56_15 = e1 & op(e0, e0) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12928) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12929)  op(e0, e0) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12523), (12929), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12930)  all_56_5 = e1 & op(e2, e1) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12930) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12931)  op(e2, e1) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12614), (12931), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12932)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12932) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12933)  all_56_8 = e1 & op(e1, e1) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12933) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12934)  op(e1, e1) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (165), (169), (219), (9858), (9859),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12893), (12934), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12935)  all_56_14 = e1 & op(e0, e1) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12935) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12936)  all_56_14 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12893), (12936) imply:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12937)  e3 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12908), (12937) imply:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12938)  all_56_2 = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (164), (165), (221),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (9859), (12521), (12617), (12938),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #471.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | |   (12939)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12939) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (12940)  all_56_6 = e3 & op(e1, e3) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12940) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (12941)  all_56_6 = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (373), (12521),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |            (12748), (12941), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1454.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (12942)  all_56_12 = e3 & op(e0, e3) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12942) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (12943)  all_56_12 = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12944)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12944) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12945)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12945) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12946)  all_56_2 = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (229), (12286), (12903), (12943),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12946), (function-axioms) are inconsistent by
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #725.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12947)  all_56_3 = e3 & op(e2, e2) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12947) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12948)  op(e2, e2) = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (12948), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12949)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (12521), (12748), (12949),
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1455.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | |   (12950)  all_56_12 = e1 & op(e0, e3) = e1
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12899), (12950) are inconsistent by
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #412.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | |   (12951)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12951) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |   (12952)  all_56_13 = e0 & op(e0, e2) = e0
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12952) implies:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |   (12953)  all_56_13 = e0
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12531), (12953) are inconsistent by
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1357.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |   (12954)  all_56_14 = e0 & op(e0, e1) = e0
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12893), (12954) are inconsistent by
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1745.
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | |   (12955)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 190.83/29.76  | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | REF_CLOSE: (9), (157), (9860), (12523), (12955),
% 190.83/29.76  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.76  | | | | | | | | | | | |            #469.
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | |   (12956)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 190.83/29.76  | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | REF_CLOSE: (9), (160), (9861), (12523), (12956),
% 190.83/29.76  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.76  | | | | | | | | | |            #483.
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | 
% 190.83/29.76  | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | 
% 190.83/29.76  | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | 
% 190.83/29.76  | | | | | | | |   (12957)  all_14_2 = e1
% 190.83/29.76  | | | | | | | | 
% 190.83/29.76  | | | | | | | | REDUCE: (351), (12957) imply:
% 190.83/29.76  | | | | | | | |   (12958)   ~ (all_52_3 = e1)
% 190.83/29.76  | | | | | | | | 
% 190.83/29.76  | | | | | | | | REDUCE: (369), (12957) imply:
% 190.83/29.76  | | | | | | | |   (12959)   ~ (all_52_11 = e1)
% 190.83/29.76  | | | | | | | | 
% 190.83/29.76  | | | | | | | | REDUCE: (370), (12957) imply:
% 190.83/29.76  | | | | | | | |   (12960)   ~ (all_52_12 = e1)
% 190.83/29.76  | | | | | | | | 
% 190.83/29.76  | | | | | | | | REDUCE: (371), (12957) imply:
% 190.83/29.76  | | | | | | | |   (12961)   ~ (all_52_13 = e1)
% 190.83/29.76  | | | | | | | | 
% 190.83/29.76  | | | | | | | | REDUCE: (372), (12957) imply:
% 190.83/29.76  | | | | | | | |   (12962)   ~ (all_52_14 = e1)
% 190.83/29.76  | | | | | | | | 
% 190.83/29.76  | | | | | | | | REDUCE: (51), (12957) imply:
% 190.83/29.76  | | | | | | | |   (12963)  op(e0, e0) = e1
% 190.83/29.76  | | | | | | | | 
% 190.83/29.76  | | | | | | | | BETA: splitting (211) gives:
% 190.83/29.76  | | | | | | | | 
% 190.83/29.76  | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | 
% 190.83/29.76  | | | | | | | | |   (12964)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2
% 190.83/29.76  | | | | | | | | |              & op(e2, e0) = e2)
% 190.83/29.76  | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | BETA: splitting (12964) gives:
% 190.83/29.76  | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | |   (12965)  all_56_9 = e2 & op(e3, e0) = e2
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | REF_CLOSE: (168), (12282), (12965), (function-axioms) are
% 190.83/29.76  | | | | | | | | | |            inconsistent by sub-proof #737.
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | |   (12966)  all_56_10 = e2 & op(e2, e0) = e2
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | ALPHA: (12966) implies:
% 190.83/29.76  | | | | | | | | | |   (12967)  op(e2, e0) = e2
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | BETA: splitting (208) gives:
% 190.83/29.76  | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | |   (12968)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 190.83/29.76  | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 190.83/29.76  | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | BETA: splitting (12968) gives:
% 190.83/29.76  | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | |   (12969)  all_56_12 = e2 & op(e0, e3) = e2
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | REF_CLOSE: (159), (12280), (12969), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | |   (12970)  all_56_13 = e2 & op(e0, e2) = e2
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | ALPHA: (12970) implies:
% 190.83/29.76  | | | | | | | | | | | |   (12971)  op(e0, e2) = e2
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 190.83/29.76  | | | | | | | | | | | |              e2, e0, simplifying with (158), (12971) gives:
% 190.83/29.76  | | | | | | | | | | | |   (12972)  all_52_7 = e2
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 190.83/29.76  | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (12967) gives:
% 190.83/29.76  | | | | | | | | | | | |   (12973)  all_52_13 = e2
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | REDUCE: (125), (12972) imply:
% 190.83/29.76  | | | | | | | | | | | |   (12974)   ~ (all_52_11 = e2)
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | REDUCE: (360), (12973) imply:
% 190.83/29.76  | | | | | | | | | | | |   (12975)   ~ (all_4_2 = e2)
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | SIMP: (12975) implies:
% 190.83/29.76  | | | | | | | | | | | |   (12976)   ~ (all_4_2 = e2)
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | BETA: splitting (67) gives:
% 190.83/29.76  | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | |   (12977)   ~ (all_24_2 = e1)
% 190.83/29.76  | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | REDUCE: (318), (12977) imply:
% 190.83/29.76  | | | | | | | | | | | | |   (12978)   ~ (all_4_2 = e1)
% 190.83/29.76  | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | BETA: splitting (199) gives:
% 190.83/29.76  | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | |   (12979)  all_54_5 = e3
% 190.83/29.76  | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | COMBINE_EQS: (268), (12979) imply:
% 190.83/29.76  | | | | | | | | | | | | | |   (12980)  all_4_2 = e3
% 190.83/29.76  | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | REDUCE: (373), (12980) imply:
% 190.83/29.76  | | | | | | | | | | | | | |   (12981)  $false
% 190.83/29.76  | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | CLOSE: (12981) is inconsistent.
% 190.83/29.76  | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | |   (12982)   ~ (all_54_5 = e3)
% 190.83/29.76  | | | | | | | | | | | | | |   (12983)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 190.83/29.76  | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.83/29.76  | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | |   (12984)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.76  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.76  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.76  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.76  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.76  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.76  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.76  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.76  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.83/29.76  | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.83/29.76  | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.83/29.76  | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.76  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.83/29.76  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.83/29.76  | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.83/29.76  | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.76  | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.83/29.76  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.83/29.76  | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.83/29.76  | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.83/29.76  | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.76  | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.76  | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | BETA: splitting (12984) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | |   (12985)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.76  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.76  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.76  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.76  | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.76  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.76  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.76  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.76  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.76  | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | BETA: splitting (12985) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | |   (12986)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.76  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.76  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.76  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.76  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.76  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.76  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.76  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.76  | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12279), (12986), (function-axioms) are
% 190.83/29.76  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 190.83/29.76  | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | |   (12987)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.76  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.76  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.76  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.76  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.76  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.76  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.76  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.76  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.76  | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (12963), (12987),
% 190.83/29.76  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.76  | | | | | | | | | | | | | | | | |            #980.
% 190.83/29.76  | | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | |   (12988)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.76  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.76  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.76  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.76  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.76  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.76  | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.76  | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.83/29.76  | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.83/29.76  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.76  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.76  | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.76  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.76  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.76  | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.76  | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.76  | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | | REF_CLOSE: (36), (9862), (12286), (12978), (12988),
% 190.83/29.76  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.76  | | | | | | | | | | | | | | | |            #434.
% 190.83/29.76  | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | End of split
% 190.83/29.76  | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | Case 2:
% 190.83/29.76  | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | |   (12989)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.76  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.76  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.76  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.76  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.76  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.76  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.76  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.76  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.76  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.76  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.76  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.76  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.83/29.76  | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.83/29.76  | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.83/29.76  | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.83/29.76  | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.83/29.76  | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.76  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.83/29.76  | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.83/29.76  | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.76  | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.76  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.76  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.76  | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.76  | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.76  | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.76  | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.76  | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.76  | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.76  | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.76  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.76  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.76  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.76  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.76  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.76  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.76  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.76  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.76  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.76  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.76  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.76  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.76  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.76  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.76  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.76  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.76  | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | BETA: splitting (12989) gives:
% 190.83/29.76  | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.76  | | | | | | | | | | | | | | | | 
% 190.83/29.76  | | | | | | | | | | | | | | | |   (12990)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.77  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.77  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.77  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.77  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.77  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.77  | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.77  | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.77  | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.77  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.77  | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.77  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.77  | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.77  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.77  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.77  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.77  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | BETA: splitting (12990) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | |   (12991)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.77  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | BETA: splitting (12991) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (12992)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | ALPHA: (12992) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (12993)   ~ (all_57_8 = e0)
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (12994)  op(e0, e1) = all_57_8
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (12995)  op(e3, e1) = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | BETA: splitting (12983) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (12996)  all_54_5 = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (12976), (12996) are inconsistent by
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |            sub-proof #1106.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (12997)  all_54_5 = e1 | all_54_5 = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (12997) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |   (12998)  all_54_5 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (12978), (12998) are inconsistent by
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |            sub-proof #1089.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |   (12999)  all_54_5 = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12999) imply:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |   (13000)  all_4_2 = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | SIMP: (13000) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |   (13001)  all_4_2 = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (13001) imply:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |   (13002)  all_36_2 = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13003)   ~ (all_36_2 = e0)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | REDUCE: (13002), (13003) imply:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13004)  $false
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | CLOSE: (13004) is inconsistent.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              all_57_8, e1, e0, simplifying with (157), (12994)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13005)  all_57_8 = all_52_11
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (12995) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13006)  all_52_8 = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | REDUCE: (12993), (13005) imply:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13007)   ~ (all_52_11 = e0)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (13006) imply:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13008)   ~ (all_52_11 = e3)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | SIMP: (13008) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13009)   ~ (all_52_11 = e3)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (247), (9860), (12959), (13007), (13009)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #411.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13010)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | ALPHA: (13010) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13011)  op(e3, e3) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12286), (13011), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | |   (13012)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.83/29.77  | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | BETA: splitting (13012) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13013)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | ALPHA: (13013) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13014)  op(e2, e1) = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (12967), (13014),
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            #1887.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13015)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (12967), (13015), (function-axioms)
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #432.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | |   (13016)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.77  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.77  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.77  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.77  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.77  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.77  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.83/29.77  | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.77  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.83/29.77  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.77  | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.83/29.77  | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.83/29.77  | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.83/29.77  | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.83/29.77  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.83/29.77  | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.77  | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.83/29.77  | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.83/29.77  | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.77  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.77  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.77  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.77  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.77  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.77  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.77  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.77  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.77  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | BETA: splitting (13016) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | |   (13017)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.77  | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.77  | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.77  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12286), (13017), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | |   (13018)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.77  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.77  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.77  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.77  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.77  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | BETA: splitting (13018) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13019)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | ALPHA: (13019) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13020)  op(e1, e1) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (13020), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13021)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | BETA: splitting (13021) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (13022)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | ALPHA: (13022) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (13023)  op(e1, e0) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12962), (13023), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (13024)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | ALPHA: (13024) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (13025)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (13025) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |   (13026)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13026) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13027)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13027) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13028)  op(e2, e2) = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (13028), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13029)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13029) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |   (13030)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13030) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |   (13031)  op(e1, e1) = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9862), (13031), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |   (13032)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13032) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |   (13033)  op(e0, e2) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12971), (13033), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |   (13034)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13034) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13035)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13035) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13036)  op(e0, e2) = e0
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12971), (13036), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13037)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (12286), (12978), (13037),
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |            #804.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | |   (13038)  all_24_2 = e1
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | COMBINE_EQS: (318), (13038) imply:
% 190.83/29.77  | | | | | | | | | | | | |   (13039)  all_4_2 = e1
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | SIMP: (13039) implies:
% 190.83/29.77  | | | | | | | | | | | | |   (13040)  all_4_2 = e1
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | REDUCE: (352), (13040) imply:
% 190.83/29.77  | | | | | | | | | | | | |   (13041)   ~ (all_52_4 = e1)
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | REDUCE: (354), (13040) imply:
% 190.83/29.77  | | | | | | | | | | | | |   (13042)   ~ (all_52_6 = e1)
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | REDUCE: (358), (13040) imply:
% 190.83/29.77  | | | | | | | | | | | | |   (13043)   ~ (all_52_9 = e1)
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | REDUCE: (373), (13040) imply:
% 190.83/29.77  | | | | | | | | | | | | |   (13044)   ~ (e3 = e1)
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | REDUCE: (12976), (13040) imply:
% 190.83/29.77  | | | | | | | | | | | | |   (13045)   ~ (e2 = e1)
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | REDUCE: (36), (13040) imply:
% 190.83/29.77  | | | | | | | | | | | | |   (13046)  op(e2, e2) = e1
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | BETA: splitting (231) gives:
% 190.83/29.77  | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | |   (13047)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 190.83/29.77  | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 190.83/29.77  | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | BETA: splitting (13047) gives:
% 190.83/29.77  | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | |   (13048)  all_56_0 = e1 & op(e3, e3) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | ALPHA: (13048) implies:
% 190.83/29.77  | | | | | | | | | | | | | | |   (13049)  op(e3, e3) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | REF_CLOSE: (6), (12286), (13049), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 190.83/29.77  | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | |   (13050)  all_56_2 = e1 & op(e2, e3) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | ALPHA: (13050) implies:
% 190.83/29.77  | | | | | | | | | | | | | | |   (13051)  all_56_2 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | |   (13052)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.83/29.77  | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | BETA: splitting (13052) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13053)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (12286), (13041), (13053),
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.77  | | | | | | | | | | | | | | | | | |            #800.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13054)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | BETA: splitting (13054) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (13055)  all_56_4 = e1 & op(e3, e1) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | ALPHA: (13055) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (13056)  all_56_4 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |   (13057)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13046), (13051), (13057), (function-axioms)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #474.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |   (13058)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13058) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13059)  all_56_5 = e2 & op(e2, e1) = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13059) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13060)  op(e2, e1) = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9859), (13060), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12966) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13061)  all_56_10 = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |   (13062)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13062) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |   (13063)  all_56_6 = e1 & op(e1, e3) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13063) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |   (13064)  all_56_6 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (220), (221), (224), (229),
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |            (235), (12285), (13046), (13051), (13056),
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |            (13061), (13064), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #413.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |   (13065)  all_56_7 = e1 & op(e1, e2) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13065) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |   (13066)  op(e1, e2) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13042), (13066), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |   (13067)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (9862), (12962), (13067),
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |            #436.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (13068)  all_56_9 = e1 & op(e3, e0) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | ALPHA: (13068) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (13069)  op(e3, e0) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12960), (13069), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | |   (13070)  all_56_2 = e2 & op(e2, e3) = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | ALPHA: (13070) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | |   (13071)  all_56_2 = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13051), (13071) are inconsistent by
% 190.83/29.77  | | | | | | | | | | | | | | | | |            sub-proof #1855.
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | End of split
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | |   (13072)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.83/29.77  | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | BETA: splitting (13072) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | |   (13073)  all_56_6 = e2 & op(e1, e3) = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9856), (13073), (function-axioms) are
% 190.83/29.77  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | |   (13074)  all_56_12 = e2 & op(e0, e3) = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | ALPHA: (13074) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | |   (13075)  all_56_12 = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | |   (13076)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | BETA: splitting (13076) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (13077)  all_56_6 = e1 & op(e1, e3) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | ALPHA: (13077) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | |   (13078)  all_56_6 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |   (13079)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13079) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13080)  all_56_0 = e3 & op(e3, e3) = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13080) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | |   (13081)  op(e3, e3) = e3
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |   (13082)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13082) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |   (13083)  all_56_4 = e1 & op(e3, e1) = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13083) implies:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | |   (13084)  all_56_4 = e1
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | |   (13085)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13046), (13051), (13085), (function-axioms)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #474.
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | |   (13086)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13086) gives:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (13087)  all_56_5 = e2 & op(e2, e1) = e2
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.77  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13087) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (13088)  op(e2, e1) = e2
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9859), (13088), (function-axioms) are
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12966) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (13089)  all_56_10 = e2
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (220), (221), (224), (229),
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | |            (13046), (13051), (13078), (13081), (13084),
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | |            (13089), (function-axioms) are inconsistent by
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #414.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |   (13090)  all_56_5 = e1 & op(e2, e1) = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13090) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |   (13091)  op(e2, e1) = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13043), (13091), (function-axioms) are
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1755.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |   (13092)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (9862), (12959), (13092),
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |            #460.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |   (13093)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13093) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |   (13094)  all_56_2 = e3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13051), (13094) are inconsistent by
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1859.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |   (13095)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (13075), (13078), (13095) are
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #742.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |   (13096)  all_56_7 = e1 & op(e1, e2) = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | ALPHA: (13096) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |   (13097)  op(e1, e2) = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13042), (13097), (function-axioms) are
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | |   (13098)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (9862), (12962), (13098),
% 190.83/29.78  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.78  | | | | | | | | | | | | | | | | | |            #436.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | |   (13099)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 190.83/29.78  | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 190.83/29.78  | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | BETA: splitting (13099) gives:
% 190.83/29.78  | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | |   (13100)  all_56_6 = e1 & op(e1, e3) = e1
% 190.83/29.78  | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | ALPHA: (13100) implies:
% 190.83/29.78  | | | | | | | | | | | | | | |   (13101)  op(e1, e3) = e1
% 190.83/29.78  | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | |   (13102)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 190.83/29.78  | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 190.83/29.78  | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (12286), (13041), (13102),
% 190.83/29.78  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.78  | | | | | | | | | | | | | | | |            #800.
% 190.83/29.78  | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | |   (13103)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 190.83/29.78  | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 190.83/29.78  | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | BETA: splitting (13103) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | |   (13104)  all_56_4 = e1 & op(e3, e1) = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | ALPHA: (13104) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | |   (13105)  op(e3, e1) = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 190.83/29.78  | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (13101) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | |   (13106)  all_52_2 = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 190.83/29.78  | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (13105) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | |   (13107)  all_52_8 = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | REDUCE: (143), (13106) imply:
% 190.83/29.78  | | | | | | | | | | | | | | | | |   (13108)   ~ (all_52_6 = e1)
% 190.83/29.78  | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | REDUCE: (141), (13106) imply:
% 190.83/29.78  | | | | | | | | | | | | | | | | |   (13109)   ~ (all_52_14 = e1)
% 190.83/29.78  | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | |   (13110)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.78  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.78  | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | BETA: splitting (13110) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |   (13111)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (13111) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |   (13112)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12279), (13101), (13112),
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            #755.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |   (13113)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12963), (13046), (13113), (function-axioms)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #938.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |   (13114)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (13114) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |   (13115)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12286), (13115), (function-axioms) are
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #798.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |   (13116)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (13042), (13105), (13116),
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            #1140.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | |   (13117)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.83/29.78  | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | BETA: splitting (13117) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |   (13118)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (13118) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |   (13119)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (12286), (13105), (13119),
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            #547.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |   (13120)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13120) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |   (13121)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13121) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |   (13122)   ~ (all_57_12 = e1)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |   (13123)  op(e2, e2) = all_57_12
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13046), (13122), (13123), (function-axioms) are
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1890.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |   (13124)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (12967), (13124), (function-axioms)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #432.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |   (13125)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (13125) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |   (13126)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12286), (13126), (function-axioms) are
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |   (13127)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13127) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |   (13128)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13128) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |   (13129)  op(e1, e1) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9862), (13129), (function-axioms) are
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |   (13130)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13130) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |   (13131)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13131) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |   (13132)  op(e1, e0) = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12962), (13132), (function-axioms) are
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |   (13133)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13133) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |   (13134)  op(e0, e0) = all_57_15
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |   (13135)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13135) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |   (13136)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13136) gives:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | |   (13137)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13137) implies:
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | |   (13138)  op(e2, e2) = e3
% 190.83/29.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13046), (13138), (function-axioms) are
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |   (13139)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13139) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (13140)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13140) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (13141)   ~ (all_57_1 = e1)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (13142)  op(e1, e3) = all_57_1
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13101), (13141), (13142), (function-axioms) are
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1326.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (13143)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13143) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (13144)  op(e0, e2) = e0
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12971), (13144), (function-axioms) are
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | |   (13145)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13145) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |   (13146)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13146) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |   (13147)  op(e0, e2) = e0
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12971), (13147), (function-axioms) are
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |   (13148)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13148) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (13149)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13149) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (13150)  op(e3, e3) = e1
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12286), (13150), (function-axioms) are
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (13151)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13151) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (13152)   ~ (all_57_15 = e1)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12963), (13134), (13152), (function-axioms) are
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #499.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | |   (13153)  all_56_9 = e1 & op(e3, e0) = e1
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | ALPHA: (13153) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | |   (13154)  op(e3, e0) = e1
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12960), (13154), (function-axioms) are
% 190.83/29.79  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | |   (13155)  all_56_12 = e1 & op(e0, e3) = e1
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | ALPHA: (13155) implies:
% 190.83/29.79  | | | | | | | | | | | | | | |   (13156)  op(e0, e3) = e1
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | REF_CLOSE: (159), (12958), (13156), (function-axioms) are
% 190.83/29.79  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | |   (13157)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 190.83/29.79  | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | REF_CLOSE: (6), (157), (9860), (12963), (13157),
% 190.83/29.79  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.79  | | | | | | | | | | |            #410.
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | 
% 190.83/29.79  | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | 
% 190.83/29.79  | | | | | | | | |   (13158)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 190.83/29.79  | | | | | | | | |              e2 & op(e0, e0) = e2)
% 190.83/29.79  | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | REF_CLOSE: (6), (160), (9861), (12963), (13158),
% 190.83/29.79  | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.79  | | | | | | | | |            #409.
% 190.83/29.79  | | | | | | | | | 
% 190.83/29.79  | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | 
% 190.83/29.79  | | | | | | | End of split
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | Case 2:
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | |   (13159)  all_56_1 = e2 & op(e3, e2) = e2
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | | ALPHA: (13159) implies:
% 190.83/29.79  | | | | | | |   (13160)  op(e3, e2) = e2
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | | REF_CLOSE: (170), (12281), (13160), (function-axioms) are
% 190.83/29.79  | | | | | | |            inconsistent by sub-proof #825.
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | End of split
% 190.83/29.79  | | | | | | 
% 190.83/29.79  | | | | | Case 2:
% 190.83/29.79  | | | | | | 
% 190.83/29.79  | | | | | |   (13161)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 &
% 190.83/29.79  | | | | | |              op(e3, e0) = e2)
% 190.83/29.79  | | | | | | 
% 190.83/29.79  | | | | | | BETA: splitting (13161) gives:
% 190.83/29.79  | | | | | | 
% 190.83/29.79  | | | | | | Case 1:
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | |   (13162)  all_56_4 = e2 & op(e3, e1) = e2
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | | REF_CLOSE: (169), (9858), (13162), (function-axioms) are
% 190.83/29.79  | | | | | | |            inconsistent by sub-proof #810.
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | Case 2:
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | |   (13163)  all_56_9 = e2 & op(e3, e0) = e2
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | | REF_CLOSE: (168), (12282), (13163), (function-axioms) are
% 190.83/29.79  | | | | | | |            inconsistent by sub-proof #737.
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | End of split
% 190.83/29.79  | | | | | | 
% 190.83/29.79  | | | | | End of split
% 190.83/29.79  | | | | | 
% 190.83/29.79  | | | | End of split
% 190.83/29.79  | | | | 
% 190.83/29.79  | | | End of split
% 190.83/29.79  | | | 
% 190.83/29.79  | | Case 2:
% 190.83/29.79  | | | 
% 190.83/29.79  | | |   (13164)  all_6_2 = e0
% 190.83/29.79  | | |   (13165)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) =
% 190.83/29.79  | | |              all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) &
% 190.83/29.79  | | |              op(e3, e0) = all_6_1 & $i(all_6_1))
% 190.83/29.79  | | | 
% 190.83/29.79  | | | COMBINE_EQS: (329), (13164) imply:
% 190.83/29.79  | | |   (13166)  all_8_2 = e0
% 190.83/29.79  | | | 
% 190.83/29.79  | | | REDUCE: (338), (13164) imply:
% 190.83/29.79  | | |   (13167)   ~ (all_52_1 = e0)
% 190.83/29.79  | | | 
% 190.83/29.79  | | | REDUCE: (340), (13164) imply:
% 190.83/29.79  | | |   (13168)   ~ (all_52_2 = e0)
% 190.83/29.79  | | | 
% 190.83/29.79  | | | REDUCE: (342), (13164) imply:
% 190.83/29.79  | | |   (13169)   ~ (all_52_3 = e0)
% 190.83/29.79  | | | 
% 190.83/29.79  | | | REDUCE: (344), (13164) imply:
% 190.83/29.79  | | |   (13170)   ~ (all_52_4 = e0)
% 190.83/29.79  | | | 
% 190.83/29.79  | | | REDUCE: (346), (13164) imply:
% 190.83/29.79  | | |   (13171)   ~ (all_52_8 = e0)
% 190.83/29.79  | | | 
% 190.83/29.79  | | | REDUCE: (348), (13164) imply:
% 190.83/29.79  | | |   (13172)   ~ (all_52_12 = e0)
% 190.83/29.79  | | | 
% 190.83/29.79  | | | REDUCE: (39), (13164) imply:
% 190.83/29.79  | | |   (13173)  op(e3, e3) = e0
% 190.83/29.79  | | | 
% 190.83/29.79  | | | BETA: splitting (43) gives:
% 190.83/29.79  | | | 
% 190.83/29.79  | | | Case 1:
% 190.83/29.79  | | | | 
% 190.83/29.79  | | | |   (13174)   ~ (all_8_2 = e0)
% 190.83/29.79  | | | | 
% 190.83/29.79  | | | | REDUCE: (13166), (13174) imply:
% 190.83/29.79  | | | |   (13175)  $false
% 190.83/29.79  | | | | 
% 190.83/29.79  | | | | CLOSE: (13175) is inconsistent.
% 190.83/29.79  | | | | 
% 190.83/29.79  | | | Case 2:
% 190.83/29.79  | | | | 
% 190.83/29.79  | | | |   (13176)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) =
% 190.83/29.79  | | | |              all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) &
% 190.83/29.79  | | | |              op(e3, e0) = all_8_1 & $i(all_8_1))
% 190.83/29.79  | | | | 
% 190.83/29.79  | | | | BETA: splitting (46) gives:
% 190.83/29.79  | | | | 
% 190.83/29.79  | | | | Case 1:
% 190.83/29.79  | | | | | 
% 190.83/29.79  | | | | |   (13177)   ~ (all_10_2 = e2)
% 190.83/29.79  | | | | | 
% 190.83/29.79  | | | | | BETA: splitting (52) gives:
% 190.83/29.79  | | | | | 
% 190.83/29.79  | | | | | Case 1:
% 190.83/29.79  | | | | | | 
% 190.83/29.79  | | | | | |   (13178)   ~ (all_14_2 = e1)
% 190.83/29.79  | | | | | | 
% 190.83/29.79  | | | | | | BETA: splitting (58) gives:
% 190.83/29.79  | | | | | | 
% 190.83/29.79  | | | | | | Case 1:
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | |   (13179)   ~ (all_18_2 = e3)
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | | REDUCE: (301), (13179) imply:
% 190.83/29.79  | | | | | | |   (13180)   ~ (all_14_2 = e3)
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | | BETA: splitting (61) gives:
% 190.83/29.79  | | | | | | | 
% 190.83/29.79  | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | 
% 190.83/29.79  | | | | | | | |   (13181)   ~ (all_20_2 = e3)
% 190.83/29.79  | | | | | | | | 
% 190.83/29.79  | | | | | | | | REDUCE: (325), (13181) imply:
% 190.83/29.79  | | | | | | | |   (13182)   ~ (all_10_2 = e3)
% 190.83/29.79  | | | | | | | | 
% 190.83/29.79  | | | | | | | | BETA: splitting (64) gives:
% 190.83/29.79  | | | | | | | | 
% 190.83/29.79  | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | 
% 190.83/29.79  | | | | | | | | |   (13183)   ~ (all_22_2 = e0)
% 190.83/29.79  | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | REDUCE: (251), (13183) imply:
% 190.83/29.79  | | | | | | | | |   (13184)   ~ (all_10_2 = e0)
% 190.83/29.79  | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | BETA: splitting (194) gives:
% 190.83/29.79  | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | |   (13185)  all_54_10 = e3
% 190.83/29.79  | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | COMBINE_EQS: (336), (13185) imply:
% 190.83/29.79  | | | | | | | | | |   (13186)  all_10_2 = e3
% 190.83/29.79  | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | REDUCE: (13182), (13186) imply:
% 190.83/29.79  | | | | | | | | | |   (13187)  $false
% 190.83/29.79  | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | CLOSE: (13187) is inconsistent.
% 190.83/29.79  | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | |   (13188)   ~ (all_54_10 = e3)
% 190.83/29.79  | | | | | | | | | |   (13189)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 190.83/29.79  | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | BETA: splitting (13189) gives:
% 190.83/29.79  | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | |   (13190)  all_54_10 = e2
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | COMBINE_EQS: (336), (13190) imply:
% 190.83/29.79  | | | | | | | | | | |   (13191)  all_10_2 = e2
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | REDUCE: (13177), (13191) imply:
% 190.83/29.79  | | | | | | | | | | |   (13192)  $false
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | CLOSE: (13192) is inconsistent.
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | |   (13193)   ~ (all_54_10 = e2)
% 190.83/29.79  | | | | | | | | | | |   (13194)  all_54_10 = e1 | all_54_10 = e0
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | BETA: splitting (13194) gives:
% 190.83/29.79  | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | |   (13195)  all_54_10 = e1
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | COMBINE_EQS: (336), (13195) imply:
% 190.83/29.79  | | | | | | | | | | | |   (13196)  all_10_2 = e1
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | REDUCE: (350), (13196) imply:
% 190.83/29.79  | | | | | | | | | | | |   (13197)   ~ (all_52_2 = e1)
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | REDUCE: (361), (13196) imply:
% 190.83/29.79  | | | | | | | | | | | |   (13198)   ~ (all_52_6 = e1)
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | REDUCE: (364), (13196) imply:
% 190.83/29.79  | | | | | | | | | | | |   (13199)   ~ (all_52_9 = e1)
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | REDUCE: (366), (13196) imply:
% 190.83/29.79  | | | | | | | | | | | |   (13200)   ~ (all_52_11 = e1)
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | REDUCE: (368), (13196) imply:
% 190.83/29.79  | | | | | | | | | | | |   (13201)   ~ (all_52_14 = e1)
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | REDUCE: (13182), (13196) imply:
% 190.83/29.79  | | | | | | | | | | | |   (13202)   ~ (e3 = e1)
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | REDUCE: (13177), (13196) imply:
% 190.83/29.79  | | | | | | | | | | | |   (13203)   ~ (e2 = e1)
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | REDUCE: (45), (13196) imply:
% 190.83/29.79  | | | | | | | | | | | |   (13204)  op(e1, e1) = e1
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | BETA: splitting (67) gives:
% 190.83/29.79  | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | |   (13205)   ~ (all_24_2 = e1)
% 190.83/29.79  | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | REDUCE: (318), (13205) imply:
% 190.83/29.79  | | | | | | | | | | | | |   (13206)   ~ (all_4_2 = e1)
% 190.83/29.79  | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | BETA: splitting (73) gives:
% 190.83/29.79  | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | |   (13207)   ~ (all_28_2 = e2)
% 190.83/29.79  | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | REDUCE: (330), (13207) imply:
% 190.83/29.79  | | | | | | | | | | | | | |   (13208)   ~ (all_14_2 = e2)
% 190.83/29.79  | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.83/29.79  | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | |   (13209)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.79  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.79  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.79  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.79  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.79  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.79  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.79  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.79  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.83/29.79  | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.83/29.79  | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.83/29.79  | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.79  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.83/29.79  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.83/29.79  | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.83/29.79  | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.79  | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.83/29.79  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.83/29.79  | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.83/29.79  | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.83/29.79  | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.79  | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | BETA: splitting (13209) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | |   (13210)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.79  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.79  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.79  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.79  | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.79  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.79  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.79  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | BETA: splitting (13210) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | |   (13211)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.79  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.79  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.79  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | BETA: splitting (13211) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | |   (13212)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | ALPHA: (13212) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | | |   (13213)  op(e1, e1) = e3
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13204), (13213), (function-axioms) are
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | |   (13214)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | ALPHA: (13214) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | | |   (13215)  op(e0, e0) = e3
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (13178), (13180), (13208),
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            (13215), (function-axioms) are inconsistent by
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            sub-proof #1646.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | |   (13216)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.79  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.79  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (13197), (13216),
% 190.83/29.79  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.79  | | | | | | | | | | | | | | | | |            #1973.
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | |   (13217)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.79  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.79  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.79  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.79  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.79  | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.79  | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.83/29.79  | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.83/29.79  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.79  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.79  | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.79  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.79  | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | BETA: splitting (13217) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | |   (13218)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.79  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.79  | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.79  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | BETA: splitting (13218) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | |   (13219)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | ALPHA: (13219) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | | |   (13220)  op(e1, e1) = e2
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13204), (13220), (function-axioms) are
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | |   (13221)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | ALPHA: (13221) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | | |   (13222)  op(e0, e0) = e2
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (13178), (13180), (13208),
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            (13222), (function-axioms) are inconsistent by
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            sub-proof #1643.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | |   (13223)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.79  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.79  | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.83/29.79  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.79  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.79  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (13198), (13206), (13223),
% 190.83/29.79  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.79  | | | | | | | | | | | | | | | | |            #1968.
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | End of split
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | |   (13224)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.79  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.79  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.79  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.79  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.79  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.79  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.79  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.79  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.79  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.79  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.79  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.83/29.79  | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.83/29.79  | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.83/29.79  | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.83/29.79  | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.83/29.79  | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.79  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.83/29.79  | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.83/29.79  | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.79  | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.79  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.79  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.79  | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.79  | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.79  | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.79  | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.79  | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.79  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.79  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.79  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.79  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.79  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.79  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.79  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.79  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.79  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.79  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.79  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.79  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.79  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.79  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | BETA: splitting (13224) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | |   (13225)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.79  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.79  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.79  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.79  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.79  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.79  | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.79  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.79  | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.79  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.79  | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.79  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.79  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | BETA: splitting (13225) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | |   (13226)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.79  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.79  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.79  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.79  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.79  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | BETA: splitting (13226) gives:
% 190.83/29.79  | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | |   (13227)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | ALPHA: (13227) implies:
% 190.83/29.79  | | | | | | | | | | | | | | | | | |   (13228)  op(e0, e0) = e1
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (13178), (13180), (13208),
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            (13228), (function-axioms) are inconsistent by
% 190.83/29.79  | | | | | | | | | | | | | | | | | |            sub-proof #1641.
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.79  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.79  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13229)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | ALPHA: (13229) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13230)  op(e3, e3) = e1
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (13230), (function-axioms) are
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | |   (13231)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | BETA: splitting (13231) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13232)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | ALPHA: (13232) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13233)  op(e0, e0) = e1
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (13178), (13180), (13208),
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            (13233), (function-axioms) are inconsistent by
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            sub-proof #1641.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13234)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (13173), (13234), (function-axioms) are
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #407.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | |   (13235)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.80  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.80  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.80  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.80  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.80  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.80  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.83/29.80  | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.83/29.80  | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.83/29.80  | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.83/29.80  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.83/29.80  | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.80  | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.83/29.80  | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.83/29.80  | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.83/29.80  | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.80  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.80  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.80  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.80  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.80  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.80  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.80  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.80  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.80  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.80  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.80  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | BETA: splitting (13235) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | |   (13236)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.80  | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.80  | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.80  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | BETA: splitting (13236) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13237)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | ALPHA: (13237) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13238)  op(e2, e0) = e2
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13239)  all_54_15 = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (13239) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13240)  all_14_2 = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | REDUCE: (13180), (13240) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13241)  $false
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | CLOSE: (13241) is inconsistent.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13242)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | BETA: splitting (13242) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | |   (13243)  all_54_15 = e2
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (13243) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | |   (13244)  all_14_2 = e2
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (13208), (13244) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | |   (13245)  $false
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | CLOSE: (13245) is inconsistent.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | |   (13246)  all_54_15 = e1 | all_54_15 = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13246) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13247)  all_54_15 = e1
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (13247) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13248)  all_14_2 = e1
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | REDUCE: (13178), (13248) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13249)  $false
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | CLOSE: (13249) is inconsistent.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13250)  all_54_15 = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (13250) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13251)  all_14_2 = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (13251) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13252)   ~ (all_52_11 = e0)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | REDUCE: (13178), (13251) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13253)   ~ (e1 = e0)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (164), (165), (169), (199), (217),
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |            (268), (358), (360), (373), (13171), (13204),
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |            (13206), (13238), (13252), (function-axioms) are
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #405.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13254)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | ALPHA: (13254) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13255)  op(e1, e0) = e1
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13201), (13255), (function-axioms) are
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | |   (13256)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.80  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.80  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.80  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.80  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | BETA: splitting (13256) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13257)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | ALPHA: (13257) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13258)  op(e1, e1) = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13204), (13258), (function-axioms) are
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13259)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | BETA: splitting (13259) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13260)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | ALPHA: (13260) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13261)  op(e1, e0) = e1
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13201), (13261), (function-axioms) are
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13262)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | ALPHA: (13262) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13263)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (159), (373), (13169),
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |            (13173), (13204), (13206), (13263),
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |            #401.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | |   (13264)  all_28_2 = e2
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | COMBINE_EQS: (330), (13264) imply:
% 190.83/29.80  | | | | | | | | | | | | | |   (13265)  all_14_2 = e2
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | SIMP: (13265) implies:
% 190.83/29.80  | | | | | | | | | | | | | |   (13266)  all_14_2 = e2
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | REDUCE: (351), (13266) imply:
% 190.83/29.80  | | | | | | | | | | | | | |   (13267)   ~ (all_52_3 = e2)
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | REDUCE: (362), (13266) imply:
% 190.83/29.80  | | | | | | | | | | | | | |   (13268)   ~ (all_52_7 = e2)
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | REDUCE: (370), (13266) imply:
% 190.83/29.80  | | | | | | | | | | | | | |   (13269)   ~ (all_52_12 = e2)
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | REDUCE: (371), (13266) imply:
% 190.83/29.80  | | | | | | | | | | | | | |   (13270)   ~ (all_52_13 = e2)
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | REDUCE: (13180), (13266) imply:
% 190.83/29.80  | | | | | | | | | | | | | |   (13271)   ~ (e3 = e2)
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | REDUCE: (51), (13266) imply:
% 190.83/29.80  | | | | | | | | | | | | | |   (13272)  op(e0, e0) = e2
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.83/29.80  | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | |   (13273)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.80  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.80  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.80  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.80  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.80  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.80  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.80  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.80  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.80  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.80  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.80  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.80  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.80  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.83/29.80  | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.83/29.80  | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.83/29.80  | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.83/29.80  | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.80  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.83/29.80  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.83/29.80  | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.83/29.80  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.83/29.80  | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.80  | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.83/29.80  | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.83/29.80  | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.83/29.80  | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.83/29.80  | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.80  | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.80  | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | BETA: splitting (13273) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | |   (13274)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.80  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.80  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.80  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.80  | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.80  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.80  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.80  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | BETA: splitting (13274) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | |   (13275)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.80  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | BETA: splitting (13275) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13276)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | ALPHA: (13276) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13277)  op(e1, e1) = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13204), (13277), (function-axioms) are
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13278)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | ALPHA: (13278) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13279)  op(e0, e0) = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13272), (13279), (function-axioms) are
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | |   (13280)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (13197), (13280),
% 190.83/29.80  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.80  | | | | | | | | | | | | | | | | |            #1973.
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | End of split
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | |   (13281)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.80  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.80  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.80  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.80  | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.80  | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.83/29.80  | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.83/29.80  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.80  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.80  | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.80  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.80  | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.80  | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | BETA: splitting (13281) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | |   (13282)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.80  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.80  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.80  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | BETA: splitting (13282) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13283)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | ALPHA: (13283) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13284)  op(e1, e1) = e2
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13204), (13284), (function-axioms) are
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13285)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.83/29.80  | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | ALPHA: (13285) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13286)   ~ (all_57_10 = e2)
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13287)   ~ (all_57_5 = e0)
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13288)  op(e0, e2) = all_57_5
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13289)  op(e3, e2) = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13290)  op(e3, e3) = all_57_10
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              all_57_5, e2, e0, simplifying with (158), (13288)
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13291)  all_57_5 = all_52_7
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (13289) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13292)  all_52_4 = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              all_57_10, e3, e3, simplifying with (13173),
% 190.83/29.80  | | | | | | | | | | | | | | | | | |              (13290) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13293)  all_57_10 = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REDUCE: (13287), (13291) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13294)   ~ (all_52_7 = e0)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REDUCE: (13286), (13293) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13295)   ~ (e2 = e0)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REDUCE: (136), (13292) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13296)   ~ (all_52_6 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | SIMP: (13296) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13297)   ~ (all_52_6 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REDUCE: (135), (13292) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13298)   ~ (all_52_7 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | SIMP: (13298) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13299)   ~ (all_52_7 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REDUCE: (134), (13292) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13300)   ~ (all_52_8 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | SIMP: (13300) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13301)   ~ (all_52_8 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REDUCE: (133), (13292) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13302)   ~ (all_52_12 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | SIMP: (13302) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13303)   ~ (all_52_12 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | REDUCE: (352), (13292) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | |   (13304)   ~ (all_4_2 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13305)  all_54_3 = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (13305) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13306)  all_52_12 = e3
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | REDUCE: (13303), (13306) imply:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13307)  $false
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | CLOSE: (13307) is inconsistent.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13308)   ~ (all_54_3 = e3)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | |   (13309)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | |   (13310)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13310) gives:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13311)  all_56_0 = e2 & op(e3, e3) = e2
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13311) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13312)  op(e3, e3) = e2
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13286), (13290), (13312), (function-axioms) are
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #799.
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13313)  all_56_1 = e2 & op(e3, e2) = e2
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13313) implies:
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | |   (13314)  op(e3, e2) = e2
% 190.83/29.80  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13289), (13314), (function-axioms) are
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1927.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | |   (13315)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13315) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | |   (13316)  all_56_4 = e2 & op(e3, e1) = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13316) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | |   (13317)  all_56_4 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | |   (13318)  all_54_2 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (13318) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | |   (13319)  all_52_8 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13301), (13319) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | |   (13320)  $false
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13320) is inconsistent.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | |   (13321)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13309) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | |   (13322)  all_54_3 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (13269), (13322) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1689.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | |   (13323)   ~ (all_54_3 = e2)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | |   (13324)  all_54_3 = e1 | all_54_3 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13324) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | |   (13325)  all_54_3 = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (13325) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | |   (13326)  all_52_12 = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13326) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | |   (13327)  all_52_12 = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (13327) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | |   (13328)   ~ (all_52_8 = e1)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (13327) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | |   (13329)   ~ (all_52_13 = e1)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13329) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | |   (13330)   ~ (all_52_13 = e1)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (13331)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13331) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13332)  all_56_2 = e1 & op(e2, e3) = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13332) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13333)  all_56_2 = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13334)  all_56_15 = e0 & op(e0, e0) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13334) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13335)  op(e0, e0) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13272), (13335), (function-axioms) are
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13336)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13336) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13337)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13338)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13338) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13339)  all_56_0 = e2 & op(e3, e3) = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13339) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13340)  op(e3, e3) = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13286), (13290), (13340), (function-axioms) are
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #799.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13341)  all_56_2 = e2 & op(e2, e3) = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13333), (13341) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1304.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13342)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13342) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13343)  all_56_6 = e2 & op(e1, e3) = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13343) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13344)  all_56_6 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13337) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13345)  all_56_12 = e0 & op(e0, e3) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13345) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13346)  op(e0, e3) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (13346), (function-axioms) are
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13347)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13347) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13348)  all_56_13 = e0 & op(e0, e2) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13348) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13349)  op(e0, e2) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13287), (13288), (13349), (function-axioms) are
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13350)  all_56_14 = e0 & op(e0, e1) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13350) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13351)  all_56_14 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13352)  op(e0, e1) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13321) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13353)  all_54_2 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (13353) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13354)  all_52_8 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (13354) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13355)   ~ (all_52_9 = e2)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13355) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13356)   ~ (all_52_9 = e2)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (13354) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13357)   ~ (all_52_11 = e2)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13357) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13358)   ~ (all_52_11 = e2)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13359)  all_54_13 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (13299), (13359) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13360)   ~ (all_54_13 = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13361)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13361) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13362)  all_54_13 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (13268), (13362) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1444.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13363)  all_54_13 = e1 | all_54_13 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13363) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13364)  all_54_13 = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (13364) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13365)  all_52_7 = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13365) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13366)  all_52_7 = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (13366) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13367)   ~ (all_52_3 = e1)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (13366) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13368)   ~ (all_52_11 = e1)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (13366) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13369)   ~ (all_4_2 = e1)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13370)  all_54_12 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (13370) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13371)  all_52_3 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13371) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13372)  all_52_3 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (13372) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13373)   ~ (all_52_1 = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (13372) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13374)   ~ (all_52_2 = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (13372) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13375)   ~ (all_52_11 = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13375) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13376)   ~ (all_52_11 = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13377)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13377) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13378)  all_56_4 = e3 & op(e3, e1) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13378) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13379)  op(e3, e1) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (170), (13289), (13379),
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #497.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13380)  all_56_5 = e3 & op(e2, e1) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13380) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13381)  all_56_5 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13382)  all_54_14 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (13376), (13382) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1260.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13383)   ~ (all_54_14 = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13384)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13384) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13385)  all_54_14 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (13358), (13385) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1740.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13386)  all_54_14 = e1 | all_54_14 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13386) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13387)  all_54_14 = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (13200), (13387) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1739.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13388)  all_54_14 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (13388) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13389)  all_52_11 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13389) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13390)  all_52_11 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (13390) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13391)   ~ (all_52_9 = e0)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13376), (13390) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13392)   ~ (e3 = e0)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13200), (13390) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13393)   ~ (e1 = e0)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13394)  all_54_8 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (13374), (13394) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13395)   ~ (all_54_8 = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13396)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13396) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13397)  all_54_8 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (13397) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13398)  all_52_2 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13398) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13399)  all_52_2 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (13399) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13400)   ~ (all_52_1 = e2)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (13399) imply:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13401)  op(e1, e3) = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13402)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13402) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13403)  all_56_6 = e3 & op(e1, e3) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13403) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13404)  op(e1, e3) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13401), (13404), (function-axioms) are
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1371.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13405)  all_56_7 = e3 & op(e1, e2) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13405) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13406)  op(e1, e2) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13297), (13406), (function-axioms) are
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13407)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13407) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13408)  all_56_8 = e3 & op(e1, e1) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13408) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13409)  op(e1, e1) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (218),
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (13200), (13381), (13409),
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1092.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13410)  all_56_11 = e3 & op(e1, e0) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13410) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13411)  all_56_11 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13412)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13412) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13413)  all_56_12 = e3 & op(e0, e3) = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13413) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13414)  all_56_12 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13415)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13415) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13416)  all_56_6 = e0 & op(e1, e3) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13168), (13416), (function-axioms) are
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13417)  all_56_7 = e0 & op(e1, e2) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13417) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13418)  all_56_7 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13419)  all_54_4 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (13373), (13419) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13420)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13421)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13421) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13422)  all_56_2 = e0 & op(e2, e3) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13422) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13423)  all_56_2 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13424)  op(e2, e3) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (13173),
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13344), (13401), (13423), (13424),
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #400.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13425)  all_56_3 = e0 & op(e2, e2) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13425) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13426)  op(e2, e2) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (226), (227),
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (373), (13418), (13426), (function-axioms)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #398.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13427)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13427) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13428)  all_56_5 = e0 & op(e2, e1) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13381), (13428) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1499.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13429)  all_56_10 = e0 & op(e2, e0) = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13429) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13430)  all_56_10 = e0
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13431)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13431) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13432)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13432) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13433)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (13286), (13290), (13433),
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #527.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13434)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13434) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13435)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13435) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13436)  op(e3, e3) = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (13333),
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13414), (13436), (function-axioms) are
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1845.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13437)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13437) implies:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13438)  op(e1, e3) = e1
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (269), (13167), (13400), (13420),
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13438), (function-axioms) are inconsistent by
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #686.
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13439)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13439) gives:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13440)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (13303), (13440),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #397.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13441)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13441) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13442)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13442) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13443)  op(e2, e2) = e1
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (165), (223), (13333), (13356), (13430),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13443), (function-axioms) are inconsistent by
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #473.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13444)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13444) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13445)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (13289), (13445), (function-axioms)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13446)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13446) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13447)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13447) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13448)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (13173), (13270), (13289), (13448),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #395.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13449)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (13200), (13272), (13449),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1730.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13450)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13450) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13451)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13451) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13452)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13452) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13453)  op(e3, e3) = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (13168), (13414), (13453),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1332.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13454)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13454) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13455)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (13289), (13455), (function-axioms)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13456)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13456) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13457)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13457) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13458)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13458) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13459)  all_57_15 = e1 & op(e0, e0) = e1
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13459) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13460)  op(e0, e0) = e1
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13272), (13460), (function-axioms) are
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13461)   ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13461) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13462)  op(e0, e1) = all_57_8
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13463)  all_54_6 = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (13463) imply:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13464)  all_52_9 = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (13464) imply:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13465)   ~ (all_52_13 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13465) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13466)   ~ (all_52_13 = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13467)  all_54_7 = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (13466), (13467) are inconsistent by
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13468)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13468) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13469)  all_54_7 = e2
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (13270), (13469) are inconsistent by
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13470)  all_54_7 = e1 | all_54_7 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13470) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13471)  all_54_7 = e1
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (13330), (13471) are inconsistent by
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1446.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13472)  all_54_7 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (13472) imply:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13473)  all_52_13 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13473) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13474)  all_52_13 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (13474) imply:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13475)   ~ (all_4_2 = e0)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13475) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13476)   ~ (all_4_2 = e0)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13477)  all_54_5 = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (13477) are inconsistent by
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1948.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13478)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13478) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13479)  all_54_5 = e2
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (13479) imply:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13480)  all_4_2 = e2
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13480) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13481)  all_4_2 = e2
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_57_8,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, simplifying with (13352), (13462) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13482)  all_57_8 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13272), (13458), (13482), (function-axioms)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1658.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13483)  all_54_5 = e1 | all_54_5 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (13206), (13476), (13483) are inconsistent
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1941.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13484)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (13199), (13356), (13391), (13484) are
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #641.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13485)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13485) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13486)  op(e0, e0) = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13272), (13486), (function-axioms) are
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13487)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13487) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13488)  all_56_8 = e0 & op(e1, e1) = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13488) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13489)  op(e1, e1) = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (157), (169),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (221), (223), (224), (373),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13200), (13328), (13333), (13489),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #394.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13490)  all_56_11 = e0 & op(e1, e0) = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13490) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13491)  all_56_11 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13411), (13491) are inconsistent by
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #958.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13492)  all_56_13 = e3 & op(e0, e2) = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13492) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13493)  op(e0, e2) = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (13299), (13493), (function-axioms) are
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13494)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13494) gives:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13495)  all_56_14 = e3 & op(e0, e1) = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13495) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13496)  all_56_14 = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (219),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13317), (13381), (13496), (function-axioms) are
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1744.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13497)  all_56_15 = e3 & op(e0, e0) = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13497) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13498)  op(e0, e0) = e3
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13272), (13498), (function-axioms) are
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13499)  all_54_8 = e1 | all_54_8 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (13168), (13197), (13499) are inconsistent
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1365.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13500)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (13204), (13351), (13500),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #964.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13501)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (13169), (13267), (13367), (13501) are
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #707.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13502)  all_54_13 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (13294), (13502) are inconsistent by
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1653.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13503)  all_54_2 = e1 | all_54_2 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (13328), (13352), (13503),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1075.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13504)  all_56_12 = e2 & op(e0, e3) = e2
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13267), (13504), (function-axioms) are
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13505)  all_56_3 = e1 & op(e2, e2) = e1
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13505) implies:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13506)  op(e2, e2) = e1
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (13206), (13506), (function-axioms) are
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (13507)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (13199), (13330), (13507),
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | |            #939.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | |   (13508)  all_54_3 = e0
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (13172), (13508) are inconsistent by
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1324.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | |   (13509)  all_56_9 = e2 & op(e3, e0) = e2
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13269), (13509), (function-axioms) are
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.82  | | | | | | | | | | | | | | | | | 
% 190.83/29.82  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.82  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13510)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.83  | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.83/29.83  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.83  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (162), (13198), (13206), (13510),
% 190.83/29.83  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.83  | | | | | | | | | | | | | | | | |            #1968.
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | |   (13511)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.83  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.83  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.83  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.83  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.83  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.83  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.83  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.83  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.83  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.83  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.83  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.83  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.83  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.83  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.83  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.83  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.83  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.83/29.83  | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.83/29.83  | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.83/29.83  | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.83/29.83  | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.83/29.83  | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.83  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.83  | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.83/29.83  | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.83/29.83  | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.83  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.83  | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.83  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.83  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.83  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.83  | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.83  | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.83  | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.83  | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.83  | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.83  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.83  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.83  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.83  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.83  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.83  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.83  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.83  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.83  | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | BETA: splitting (13511) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | |   (13512)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.83  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.83  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.83  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.83  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.83  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.83  | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.83  | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.83  | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.83  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.83  | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.83  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.83  | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.83  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.83  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.83  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.83  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | BETA: splitting (13512) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13513)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.83  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13173), (13272), (13513),
% 190.83/29.83  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.83  | | | | | | | | | | | | | | | | |            #393.
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13514)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.83/29.83  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.83/29.83  | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.83/29.83  | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | BETA: splitting (13514) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | |   (13515)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | ALPHA: (13515) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | |   (13516)  op(e0, e0) = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13272), (13516), (function-axioms) are
% 190.83/29.83  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | |   (13517)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | BETA: splitting (13517) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13518)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | ALPHA: (13518) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13519)   ~ (all_57_10 = e0)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13520)  op(e3, e3) = all_57_10
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13173), (13519), (13520), (function-axioms) are
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #408.
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13521)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | ALPHA: (13521) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13522)  op(e1, e1) = e0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13204), (13522), (function-axioms) are
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | |   (13523)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.83  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.83  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.83  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.83  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.83  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.83  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.83  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.83/29.83  | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.83  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.83/29.83  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.83  | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.83/29.83  | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.83/29.83  | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.83/29.83  | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.83/29.83  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.83/29.83  | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.83  | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.83/29.83  | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.83/29.83  | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.83/29.83  | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.83  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.83  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.83  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.83  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.83  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.83  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.83  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.83  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | BETA: splitting (13523) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13524)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.83  | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.83  | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.83  | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.83  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (13201), (13270), (13524),
% 190.83/29.83  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.83  | | | | | | | | | | | | | | | | |            #560.
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13525)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.83  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.83  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.83  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.83  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.83  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | BETA: splitting (13525) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | |   (13526)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | ALPHA: (13526) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | |   (13527)  op(e2, e0) = e2
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13270), (13527), (function-axioms) are
% 190.83/29.83  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | |   (13528)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.83/29.83  | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | BETA: splitting (13528) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13529)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | ALPHA: (13529) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13530)  op(e1, e0) = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13201), (13530), (function-axioms) are
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13531)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (159), (373), (13169), (13173),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            (13206), (13272), (13531), (function-axioms) are
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #390.
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | |   (13532)  all_24_2 = e1
% 190.83/29.83  | | | | | | | | | | | | |   (13533)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 190.83/29.83  | | | | | | | | | | | | |              & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 190.83/29.83  | | | | | | | | | | | | |              $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 190.83/29.83  | | | | | | | | | | | | |              = all_24_1 & $i(all_24_1))
% 190.83/29.83  | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | COMBINE_EQS: (318), (13532) imply:
% 190.83/29.83  | | | | | | | | | | | | |   (13534)  all_4_2 = e1
% 190.83/29.83  | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | SIMP: (13534) implies:
% 190.83/29.83  | | | | | | | | | | | | |   (13535)  all_4_2 = e1
% 190.83/29.83  | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | COMBINE_EQS: (292), (13535) imply:
% 190.83/29.83  | | | | | | | | | | | | |   (13536)  all_44_2 = e1
% 190.83/29.83  | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | REDUCE: (356), (13535) imply:
% 190.83/29.83  | | | | | | | | | | | | |   (13537)   ~ (all_52_7 = e1)
% 190.83/29.83  | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | REDUCE: (360), (13535) imply:
% 190.83/29.83  | | | | | | | | | | | | |   (13538)   ~ (all_52_13 = e1)
% 190.83/29.83  | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | REDUCE: (36), (13535) imply:
% 190.83/29.83  | | | | | | | | | | | | |   (13539)  op(e2, e2) = e1
% 190.83/29.83  | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | BETA: splitting (207) gives:
% 190.83/29.83  | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | |   (13540)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 190.83/29.83  | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 190.83/29.83  | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | BETA: splitting (13540) gives:
% 190.83/29.83  | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | |   (13541)  all_56_12 = e1 & op(e0, e3) = e1
% 190.83/29.83  | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | ALPHA: (13541) implies:
% 190.83/29.83  | | | | | | | | | | | | | | |   (13542)  all_56_12 = e1
% 190.83/29.83  | | | | | | | | | | | | | | |   (13543)  op(e0, e3) = e1
% 190.83/29.83  | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | |   (13544)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 190.83/29.83  | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | BETA: splitting (13544) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13545)  all_56_9 = e1 & op(e3, e0) = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | ALPHA: (13545) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13546)  all_56_9 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13547)  op(e3, e0) = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 190.83/29.83  | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (13543) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13548)  all_52_3 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 190.83/29.83  | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (13547) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13549)  all_52_12 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | REDUCE: (148), (13548) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13550)   ~ (all_52_1 = e1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | REDUCE: (140), (13548) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13551)   ~ (all_52_7 = e1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | REDUCE: (139), (13548) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13552)   ~ (all_52_11 = e1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | REDUCE: (120), (13549) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13553)   ~ (all_52_8 = e1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | REDUCE: (113), (13549) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13554)   ~ (all_52_13 = e1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | REDUCE: (112), (13549) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13555)   ~ (all_52_14 = e1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | REDUCE: (370), (13549) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | |   (13556)   ~ (all_14_2 = e1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | BETA: splitting (13176) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | |   (13557)   ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | ALPHA: (13557) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | |   (13558)   ~ (all_8_0 = e2)
% 190.83/29.83  | | | | | | | | | | | | | | | | | |   (13559)  op(e3, e0) = all_8_1
% 190.83/29.83  | | | | | | | | | | | | | | | | | |   (13560)  op(all_8_1, e3) = all_8_0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | BETA: splitting (13165) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13561)   ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | ALPHA: (13561) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13562)  op(e3, e0) = all_6_1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13563)  op(all_6_1, e3) = all_6_0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_1,
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (13547), (13559) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13564)  all_8_1 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              all_8_1, e0, e3, simplifying with (13559), (13562)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13565)  all_8_1 = all_6_1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13564), (13565) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13566)  all_6_1 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | SIMP: (13566) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13567)  all_6_1 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REDUCE: (13560), (13564) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13568)  op(e1, e3) = all_8_0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REDUCE: (13563), (13567) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13569)  op(e1, e3) = all_6_0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              all_6_0, e3, e1, simplifying with (163), (13569)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13570)  all_52_2 = all_6_0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              all_8_0, e3, e1, simplifying with (163), (13568)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13571)  all_52_2 = all_8_0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13570), (13571) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13572)  all_8_0 = all_6_0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | SIMP: (13572) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13573)  all_8_0 = all_6_0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (13570) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13574)  all_54_8 = all_6_0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REDUCE: (149), (13570) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13575)   ~ (all_52_1 = all_6_0)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REDUCE: (141), (13570) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13576)   ~ (all_52_14 = all_6_0)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | SIMP: (13576) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13577)   ~ (all_52_14 = all_6_0)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REDUCE: (13197), (13570) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13578)   ~ (all_6_0 = e1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REDUCE: (13168), (13570) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13579)   ~ (all_6_0 = e0)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | REDUCE: (13558), (13573) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13580)   ~ (all_6_0 = e2)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |   (13581)  all_54_8 = e3
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13574), (13581) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |   (13582)  all_6_0 = e3
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | SIMP: (13582) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |   (13583)  all_6_0 = e3
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | REDUCE: (13575), (13583) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |   (13584)   ~ (all_52_1 = e3)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | REDUCE: (13577), (13583) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |   (13585)   ~ (all_52_14 = e3)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | REDUCE: (13569), (13583) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |   (13586)  op(e1, e3) = e3
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (97), (118),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (121), (123), (125), (134), (145), (146), (157),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (158), (159), (160), (162), (163), (164), (165),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (169), (170), (189), (190), (191), (200), (206),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (211), (212), (213), (214), (215), (216), (218),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (222), (223), (225), (228),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (233), (234), (235), (238), (246), (247), (248),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (269), (362), (369), (371), (13167), (13169),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (13170), (13173), (13178), (13180), (13197),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (13198), (13199), (13200), (13201), (13204),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (13533), (13536), (13537), (13538), (13539),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (13542), (13543), (13546), (13550), (13553),
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            (13584), (13585), (13586), (function-axioms) are
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #373.
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | |   (13587)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13587) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | |   (13588)  all_54_8 = e2
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13574), (13588) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | |   (13589)  all_6_0 = e2
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | SIMP: (13589) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | |   (13590)  all_6_0 = e2
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | REDUCE: (13580), (13590) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | |   (13591)  $false
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | CLOSE: (13591) is inconsistent.
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | |   (13592)  all_54_8 = e1 | all_54_8 = e0
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (13168), (13197), (13592) are inconsistent
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1365.
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13593)   ~ (all_6_1 = e2) & op(e3, e0) = all_6_1 &
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |            $i(all_6_1)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | ALPHA: (13593) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13594)   ~ (all_6_1 = e2)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13595)  op(e3, e0) = all_6_1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_1,
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (13547), (13559) gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13596)  all_8_1 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              all_8_1, e0, e3, simplifying with (13559), (13595)
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13597)  all_8_1 = all_6_1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13596), (13597) imply:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13598)  all_6_1 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | SIMP: (13598) implies:
% 190.83/29.83  | | | | | | | | | | | | | | | | | | |   (13599)  all_6_1 = e1
% 190.83/29.83  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | REDUCE: (13560), (13596) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13600)  op(e1, e3) = all_8_0
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_8_0, e3, e1, simplifying with (163), (13600)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13601)  all_52_2 = all_8_0
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (13601) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13602)  all_54_8 = all_8_0
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | REDUCE: (149), (13601) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13603)   ~ (all_52_1 = all_8_0)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | REDUCE: (141), (13601) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13604)   ~ (all_52_14 = all_8_0)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | SIMP: (13604) implies:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13605)   ~ (all_52_14 = all_8_0)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | REDUCE: (13197), (13601) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13606)   ~ (all_8_0 = e1)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | REDUCE: (13168), (13601) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13607)   ~ (all_8_0 = e0)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13608)  all_54_8 = e3
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13602), (13608) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13609)  all_8_0 = e3
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | SIMP: (13609) implies:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13610)  all_8_0 = e3
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REDUCE: (13603), (13610) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13611)   ~ (all_52_1 = e3)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REDUCE: (13605), (13610) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13612)   ~ (all_52_14 = e3)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REDUCE: (13600), (13610) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13613)  op(e1, e3) = e3
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (97), (118),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (121), (123), (125), (134), (145), (146), (157),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (158), (159), (160), (162), (163), (164), (165),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (169), (170), (189), (190), (191), (200), (206),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (211), (212), (213), (214), (215), (216), (218),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (222), (223), (225), (228),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (233), (234), (235), (238), (246), (247), (248),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (269), (362), (369), (371), (13167), (13169),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (13170), (13173), (13178), (13180), (13197),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (13198), (13199), (13200), (13201), (13204),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (13533), (13536), (13537), (13538), (13539),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (13542), (13543), (13546), (13550), (13553),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (13611), (13612), (13613), (function-axioms) are
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #373.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13614)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (13168), (13197), (13558), (13602), (13614)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #372.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | |   (13615)   ~ (all_8_1 = e1) & op(e3, e0) = all_8_1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |            $i(all_8_1)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | ALPHA: (13615) implies:
% 190.83/29.84  | | | | | | | | | | | | | | | | | |   (13616)   ~ (all_8_1 = e1)
% 190.83/29.84  | | | | | | | | | | | | | | | | | |   (13617)  op(e3, e0) = all_8_1
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | REF_CLOSE: (13547), (13616), (13617), (function-axioms) are
% 190.83/29.84  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #371.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | |   (13618)  all_56_10 = e1 & op(e2, e0) = e1
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | ALPHA: (13618) implies:
% 190.83/29.84  | | | | | | | | | | | | | | | | |   (13619)  op(e2, e0) = e1
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13538), (13619), (function-axioms) are
% 190.83/29.84  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | |   (13620)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 190.83/29.84  | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (13178), (13201), (13620),
% 190.83/29.84  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.84  | | | | | | | | | | | | | | | |            #1681.
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | |   (13621)  all_56_13 = e1 & op(e0, e2) = e1
% 190.83/29.84  | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | ALPHA: (13621) implies:
% 190.83/29.84  | | | | | | | | | | | | | | |   (13622)  op(e0, e2) = e1
% 190.83/29.84  | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | REF_CLOSE: (158), (13537), (13622), (function-axioms) are
% 190.83/29.84  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 190.83/29.84  | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | |   (13623)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 190.83/29.84  | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (13178), (13200), (13623),
% 190.83/29.84  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.84  | | | | | | | | | | | | | |            #1680.
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | |   (13624)  all_54_10 = e0
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | COMBINE_EQS: (336), (13624) imply:
% 190.83/29.84  | | | | | | | | | | | |   (13625)  all_10_2 = e0
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | REDUCE: (13184), (13625) imply:
% 190.83/29.84  | | | | | | | | | | | |   (13626)  $false
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | CLOSE: (13626) is inconsistent.
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | |   (13627)  all_22_2 = e0
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | COMBINE_EQS: (251), (13627) imply:
% 190.83/29.84  | | | | | | | | |   (13628)  all_10_2 = e0
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | SIMP: (13628) implies:
% 190.83/29.84  | | | | | | | | |   (13629)  all_10_2 = e0
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | REDUCE: (361), (13629) imply:
% 190.83/29.84  | | | | | | | | |   (13630)   ~ (all_52_6 = e0)
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | REDUCE: (366), (13629) imply:
% 190.83/29.84  | | | | | | | | |   (13631)   ~ (all_52_11 = e0)
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | REDUCE: (368), (13629) imply:
% 190.83/29.84  | | | | | | | | |   (13632)   ~ (all_52_14 = e0)
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | REDUCE: (13182), (13629) imply:
% 190.83/29.84  | | | | | | | | |   (13633)   ~ (e3 = e0)
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | REDUCE: (13177), (13629) imply:
% 190.83/29.84  | | | | | | | | |   (13634)   ~ (e2 = e0)
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | REDUCE: (45), (13629) imply:
% 190.83/29.84  | | | | | | | | |   (13635)  op(e1, e1) = e0
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | BETA: splitting (67) gives:
% 190.83/29.84  | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | |   (13636)   ~ (all_24_2 = e1)
% 190.83/29.84  | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | REDUCE: (318), (13636) imply:
% 190.83/29.84  | | | | | | | | | |   (13637)   ~ (all_4_2 = e1)
% 190.83/29.84  | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | BETA: splitting (73) gives:
% 190.83/29.84  | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | |   (13638)   ~ (all_28_2 = e2)
% 190.83/29.84  | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | REDUCE: (330), (13638) imply:
% 190.83/29.84  | | | | | | | | | | |   (13639)   ~ (all_14_2 = e2)
% 190.83/29.84  | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | BETA: splitting (189) gives:
% 190.83/29.84  | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | |   (13640)  all_54_15 = e3
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | COMBINE_EQS: (246), (13640) imply:
% 190.83/29.84  | | | | | | | | | | | |   (13641)  all_14_2 = e3
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | REDUCE: (13180), (13641) imply:
% 190.83/29.84  | | | | | | | | | | | |   (13642)  $false
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | CLOSE: (13642) is inconsistent.
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | |   (13643)   ~ (all_54_15 = e3)
% 190.83/29.84  | | | | | | | | | | | |   (13644)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | BETA: splitting (13644) gives:
% 190.83/29.84  | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | |   (13645)  all_54_15 = e2
% 190.83/29.84  | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | COMBINE_EQS: (246), (13645) imply:
% 190.83/29.84  | | | | | | | | | | | | |   (13646)  all_14_2 = e2
% 190.83/29.84  | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | REDUCE: (13639), (13646) imply:
% 190.83/29.84  | | | | | | | | | | | | |   (13647)  $false
% 190.83/29.84  | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | CLOSE: (13647) is inconsistent.
% 190.83/29.84  | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | |   (13648)   ~ (all_54_15 = e2)
% 190.83/29.84  | | | | | | | | | | | | |   (13649)  all_54_15 = e1 | all_54_15 = e0
% 190.83/29.84  | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | BETA: splitting (13649) gives:
% 190.83/29.84  | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | |   (13650)  all_54_15 = e1
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | COMBINE_EQS: (246), (13650) imply:
% 190.83/29.84  | | | | | | | | | | | | | |   (13651)  all_14_2 = e1
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | REDUCE: (13178), (13651) imply:
% 190.83/29.84  | | | | | | | | | | | | | |   (13652)  $false
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | CLOSE: (13652) is inconsistent.
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | |   (13653)  all_54_15 = e0
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | COMBINE_EQS: (246), (13653) imply:
% 190.83/29.84  | | | | | | | | | | | | | |   (13654)  all_14_2 = e0
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | REDUCE: (362), (13654) imply:
% 190.83/29.84  | | | | | | | | | | | | | |   (13655)   ~ (all_52_7 = e0)
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | REDUCE: (51), (13654) imply:
% 190.83/29.84  | | | | | | | | | | | | | |   (13656)  op(e0, e0) = e0
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 190.83/29.84  | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | |   (13657)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 190.83/29.84  | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 190.83/29.84  | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | BETA: splitting (13657) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | |   (13658)  all_56_1 = e0 & op(e3, e2) = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | REF_CLOSE: (170), (13170), (13658), (function-axioms) are
% 190.83/29.84  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #389.
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | |   (13659)  all_56_3 = e0 & op(e2, e2) = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | ALPHA: (13659) implies:
% 190.83/29.84  | | | | | | | | | | | | | | | |   (13660)  op(e2, e2) = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 190.83/29.84  | | | | | | | | | | | | | | | |              e2, e2, simplifying with (36), (13660) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | |   (13661)  all_4_2 = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | REDUCE: (13637), (13661) imply:
% 190.83/29.84  | | | | | | | | | | | | | | | |   (13662)   ~ (e1 = e0)
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | |   (13663)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.84  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.84  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.84  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.83/29.84  | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.83/29.84  | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.83/29.84  | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.83/29.84  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.83/29.84  | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | BETA: splitting (13663) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | |   (13664)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.84  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.84  | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | BETA: splitting (13664) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13665)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (13665) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13666)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | ALPHA: (13666) implies:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13667)  op(e1, e1) = e3
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13635), (13667), (function-axioms) are
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13668)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | ALPHA: (13668) implies:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13669)  op(e0, e0) = e3
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (13178), (13180), (13649), (13669),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            #1647.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13670)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (246), (373), (13178), (13180),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |            (13649), (13670), (function-axioms) are
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1314.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | |   (13671)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.83/29.84  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.84  | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | BETA: splitting (13671) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13672)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13635), (13656), (13672), (function-axioms)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1488.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13673)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (13673) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13674)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | ALPHA: (13674) implies:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13675)  op(e3, e3) = e2
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (13675), (function-axioms) are
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13676)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (13656), (13660), (13676),
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            #1302.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | |   (13677)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.84  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.84  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.83/29.84  | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.83/29.84  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.83/29.84  | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.83/29.84  | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.83/29.84  | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.84  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.84  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.84  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.84  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | BETA: splitting (13677) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | |   (13678)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.84  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | BETA: splitting (13678) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13679)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (13656), (13679), (function-axioms)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #370.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |   (13680)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (13680) gives:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13681)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | ALPHA: (13681) implies:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13682)  op(e0, e0) = e1
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13656), (13682), (function-axioms) are
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |   (13683)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13173), (13683), (function-axioms) are
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #407.
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.84  | | | | | | | | | | | | | | | | | | 
% 190.83/29.84  | | | | | | | | | | | | | | | | | |   (13684)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.84  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.83/29.84  | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.84  | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.83/29.84  | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | BETA: splitting (13684) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |   (13685)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | BETA: splitting (13685) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13686)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | ALPHA: (13686) implies:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13687)   ~ (all_57_12 = e0)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13688)  op(e2, e2) = all_57_12
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13660), (13687), (13688), (function-axioms) are
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1381.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13689)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | ALPHA: (13689) implies:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13690)   ~ (all_57_14 = e0)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13691)  op(e1, e1) = all_57_14
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13635), (13690), (13691), (function-axioms) are
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |   (13692)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | BETA: splitting (13692) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13693)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | ALPHA: (13693) implies:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13694)   ~ (all_57_12 = e0)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13695)  op(e2, e2) = all_57_12
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13660), (13694), (13695), (function-axioms) are
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1381.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13696)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13696) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |   (13697)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13697) implies:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |   (13698)   ~ (all_57_14 = e0)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |   (13699)  op(e1, e1) = all_57_14
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13635), (13698), (13699), (function-axioms) are
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |   (13700)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13700) implies:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |   (13701)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (157), (158), (373),
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            (13631), (13635), (13655), (13660), (13701),
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            #762.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | |   (13702)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 190.83/29.85  | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | BETA: splitting (13702) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | |   (13703)  all_56_7 = e0 & op(e1, e2) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13630), (13703), (function-axioms) are
% 190.83/29.85  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #369.
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | |   (13704)  all_56_13 = e0 & op(e0, e2) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | ALPHA: (13704) implies:
% 190.83/29.85  | | | | | | | | | | | | | | | |   (13705)  op(e0, e2) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | REF_CLOSE: (158), (13655), (13705), (function-axioms) are
% 190.83/29.85  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | |   (13706)  all_28_2 = e2
% 190.83/29.85  | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | COMBINE_EQS: (330), (13706) imply:
% 190.83/29.85  | | | | | | | | | | |   (13707)  all_14_2 = e2
% 190.83/29.85  | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | SIMP: (13707) implies:
% 190.83/29.85  | | | | | | | | | | |   (13708)  all_14_2 = e2
% 190.83/29.85  | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | REDUCE: (371), (13708) imply:
% 190.83/29.85  | | | | | | | | | | |   (13709)   ~ (all_52_13 = e2)
% 190.83/29.85  | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | REDUCE: (13180), (13708) imply:
% 190.83/29.85  | | | | | | | | | | |   (13710)   ~ (e3 = e2)
% 190.83/29.85  | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | REDUCE: (51), (13708) imply:
% 190.83/29.85  | | | | | | | | | | |   (13711)  op(e0, e0) = e2
% 190.83/29.85  | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | BETA: splitting (206) gives:
% 190.83/29.85  | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | |   (13712)  all_56_15 = e0 & op(e0, e0) = e0
% 190.83/29.85  | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | ALPHA: (13712) implies:
% 190.83/29.85  | | | | | | | | | | | |   (13713)  op(e0, e0) = e0
% 190.83/29.85  | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | REF_CLOSE: (5), (13711), (13713), (function-axioms) are
% 190.83/29.85  | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 190.83/29.85  | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | |   (13714)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.83/29.85  | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 190.83/29.85  | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 190.83/29.85  | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 190.83/29.85  | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 190.83/29.85  | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | ALPHA: (13714) implies:
% 190.83/29.85  | | | | | | | | | | | |   (13715)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 190.83/29.85  | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 190.83/29.85  | | | | | | | | | | | |                e1) = e0)
% 190.83/29.85  | | | | | | | | | | | |   (13716)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.83/29.85  | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 190.83/29.85  | | | | | | | | | | | |                e0) = e0)
% 190.83/29.85  | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | BETA: splitting (13715) gives:
% 190.83/29.85  | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | |   (13717)  all_56_12 = e0 & op(e0, e3) = e0
% 190.83/29.85  | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | ALPHA: (13717) implies:
% 190.83/29.85  | | | | | | | | | | | | |   (13718)  op(e0, e3) = e0
% 190.83/29.85  | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (13718), (function-axioms) are
% 190.83/29.85  | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 190.83/29.85  | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | |   (13719)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 190.83/29.85  | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 190.83/29.85  | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | BETA: splitting (13719) gives:
% 190.83/29.85  | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | |   (13720)  all_56_13 = e0 & op(e0, e2) = e0
% 190.83/29.85  | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | ALPHA: (13720) implies:
% 190.83/29.85  | | | | | | | | | | | | | |   (13721)  op(e0, e2) = e0
% 190.83/29.85  | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | BETA: splitting (13716) gives:
% 190.83/29.85  | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | |   (13722)  all_56_9 = e0 & op(e3, e0) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | ALPHA: (13722) implies:
% 190.83/29.85  | | | | | | | | | | | | | | |   (13723)  op(e3, e0) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | REF_CLOSE: (168), (13172), (13723), (function-axioms) are
% 190.83/29.85  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | |   (13724)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 190.83/29.85  | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | BETA: splitting (13724) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | |   (13725)  all_56_10 = e0 & op(e2, e0) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | ALPHA: (13725) implies:
% 190.83/29.85  | | | | | | | | | | | | | | | |   (13726)  op(e2, e0) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 190.83/29.85  | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (13721) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | |   (13727)  all_52_7 = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 190.83/29.85  | | | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (13726) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | |   (13728)  all_52_13 = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | REDUCE: (360), (13728) imply:
% 190.83/29.85  | | | | | | | | | | | | | | | |   (13729)   ~ (all_4_2 = e0)
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | SIMP: (13729) implies:
% 190.83/29.85  | | | | | | | | | | | | | | | |   (13730)   ~ (all_4_2 = e0)
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | |   (13731)  all_54_5 = e3
% 190.83/29.85  | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (13731) imply:
% 190.83/29.85  | | | | | | | | | | | | | | | | |   (13732)  all_4_2 = e3
% 190.83/29.85  | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | REDUCE: (373), (13732) imply:
% 190.83/29.85  | | | | | | | | | | | | | | | | |   (13733)  $false
% 190.83/29.85  | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | CLOSE: (13733) is inconsistent.
% 190.83/29.85  | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | |   (13734)   ~ (all_54_5 = e3)
% 190.83/29.85  | | | | | | | | | | | | | | | | |   (13735)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | |   (13736)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.85  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.85  | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | BETA: splitting (13736) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |   (13737)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | BETA: splitting (13737) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13738)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (13637), (13730), (13735),
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            (13738), (function-axioms) are inconsistent by
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            sub-proof #735.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13739)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (13711), (13739),
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            #1591.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |   (13740)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | BETA: splitting (13740) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13741)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13635), (13721), (13741), (function-axioms)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1588.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |   (13742)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13742) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |   (13743)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13743) implies:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |   (13744)  op(e3, e3) = e2
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (13744), (function-axioms) are
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |   (13745)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (13637), (13721), (13745), (function-axioms)
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1587.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.85  | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | |   (13746)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.83/29.85  | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | BETA: splitting (13746) gives:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |   (13747)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13173), (13711), (13747),
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.85  | | | | | | | | | | | | | | | | | | |            #368.
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.85  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.85  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |   (13748)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (13748) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |   (13749)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13749) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13750)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13750) implies:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13751)  op(e2, e0) = e2
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13709), (13751), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13752)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13752) implies:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13753)   ~ (all_57_14 = e0)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13754)  op(e1, e1) = all_57_14
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13635), (13753), (13754), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |   (13755)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13755) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13756)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13756) implies:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13757)  op(e2, e0) = e2
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13709), (13757), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13758)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13758) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13759)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13759) implies:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13760)   ~ (all_57_14 = e0)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13761)  op(e1, e1) = all_57_14
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13635), (13760), (13761), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13762)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (159), (373), (13169), (13173),
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |            (13637), (13711), (13762), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #390.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | |   (13763)  all_56_11 = e0 & op(e1, e0) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | ALPHA: (13763) implies:
% 190.83/29.86  | | | | | | | | | | | | | | | |   (13764)  op(e1, e0) = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13632), (13764), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | |   (13765)  all_56_14 = e0 & op(e0, e1) = e0
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | ALPHA: (13765) implies:
% 190.83/29.86  | | | | | | | | | | | | | |   (13766)  op(e0, e1) = e0
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | REF_CLOSE: (157), (13631), (13766), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | |   (13767)  all_24_2 = e1
% 190.83/29.86  | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | COMBINE_EQS: (318), (13767) imply:
% 190.83/29.86  | | | | | | | | | |   (13768)  all_4_2 = e1
% 190.83/29.86  | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | REDUCE: (354), (13768) imply:
% 190.83/29.86  | | | | | | | | | |   (13769)   ~ (all_52_6 = e1)
% 190.83/29.86  | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | REDUCE: (358), (13768) imply:
% 190.83/29.86  | | | | | | | | | |   (13770)   ~ (all_52_9 = e1)
% 190.83/29.86  | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | REDUCE: (360), (13768) imply:
% 190.83/29.86  | | | | | | | | | |   (13771)   ~ (all_52_13 = e1)
% 190.83/29.86  | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | REDUCE: (373), (13768) imply:
% 190.83/29.86  | | | | | | | | | |   (13772)   ~ (e3 = e1)
% 190.83/29.86  | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | REDUCE: (36), (13768) imply:
% 190.83/29.86  | | | | | | | | | |   (13773)  op(e2, e2) = e1
% 190.83/29.86  | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | BETA: splitting (225) gives:
% 190.83/29.86  | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | |   (13774)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 190.83/29.86  | | | | | | | | | | |              & op(e2, e2) = e0)
% 190.83/29.86  | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | REF_CLOSE: (4), (170), (13170), (13773), (13774),
% 190.83/29.86  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.86  | | | | | | | | | | |            #367.
% 190.83/29.86  | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | |   (13775)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 190.83/29.86  | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 190.83/29.86  | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | BETA: splitting (13775) gives:
% 190.83/29.86  | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | |   (13776)  all_56_7 = e0 & op(e1, e2) = e0
% 190.83/29.86  | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | REF_CLOSE: (162), (13630), (13776), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | |            inconsistent by sub-proof #369.
% 190.83/29.86  | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | |   (13777)  all_56_13 = e0 & op(e0, e2) = e0
% 190.83/29.86  | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | ALPHA: (13777) implies:
% 190.83/29.86  | | | | | | | | | | | |   (13778)  op(e0, e2) = e0
% 190.83/29.86  | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | BETA: splitting (221) gives:
% 190.83/29.86  | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | |   (13779)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 190.83/29.86  | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 190.83/29.86  | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | REF_CLOSE: (4), (167), (13167), (13773), (13779),
% 190.83/29.86  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.86  | | | | | | | | | | | | |            #365.
% 190.83/29.86  | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | |   (13780)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 190.83/29.86  | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 190.83/29.86  | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | BETA: splitting (13780) gives:
% 190.83/29.86  | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | |   (13781)  all_56_5 = e0 & op(e2, e1) = e0
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | ALPHA: (13781) implies:
% 190.83/29.86  | | | | | | | | | | | | | |   (13782)  all_56_5 = e0
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 190.83/29.86  | | | | | | | | | | | | | |            (13635), (13782), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | | | |            inconsistent by sub-proof #1551.
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | |   (13783)  all_56_10 = e0 & op(e2, e0) = e0
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | ALPHA: (13783) implies:
% 190.83/29.86  | | | | | | | | | | | | | |   (13784)  op(e2, e0) = e0
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 190.83/29.86  | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (13778) gives:
% 190.83/29.86  | | | | | | | | | | | | | |   (13785)  all_52_7 = e0
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 190.83/29.86  | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (13784) gives:
% 190.83/29.86  | | | | | | | | | | | | | |   (13786)  all_52_13 = e0
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | REDUCE: (125), (13785) imply:
% 190.83/29.86  | | | | | | | | | | | | | |   (13787)   ~ (all_52_11 = e0)
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | REDUCE: (117), (13786) imply:
% 190.83/29.86  | | | | | | | | | | | | | |   (13788)   ~ (all_52_9 = e0)
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | REDUCE: (110), (13786) imply:
% 190.83/29.86  | | | | | | | | | | | | | |   (13789)   ~ (all_52_14 = e0)
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | REDUCE: (371), (13786) imply:
% 190.83/29.86  | | | | | | | | | | | | | |   (13790)   ~ (all_14_2 = e0)
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | SIMP: (13790) implies:
% 190.83/29.86  | | | | | | | | | | | | | |   (13791)   ~ (all_14_2 = e0)
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | REDUCE: (13771), (13786) imply:
% 190.83/29.86  | | | | | | | | | | | | | |   (13792)   ~ (e1 = e0)
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.83/29.86  | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | |   (13793)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.86  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.86  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.86  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.86  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.86  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.86  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.86  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.86  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.86  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.86  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.86  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.86  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.83/29.86  | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.83/29.86  | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.83/29.86  | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.83/29.86  | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.83/29.86  | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.86  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.83/29.86  | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.83/29.86  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.83/29.86  | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.83/29.86  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.83/29.86  | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.86  | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.83/29.86  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.83/29.86  | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.83/29.86  | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.83/29.86  | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.86  | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.86  | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.86  | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.86  | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | BETA: splitting (13793) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | |   (13794)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.86  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.86  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.86  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.86  | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.86  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.86  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.86  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | BETA: splitting (13794) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | |   (13795)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.86  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.86  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.86  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (13180), (13635), (13795),
% 190.83/29.86  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.86  | | | | | | | | | | | | | | | | |            #1353.
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | |   (13796)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.86  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.86  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (13180), (13773), (13796),
% 190.83/29.86  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.86  | | | | | | | | | | | | | | | | |            #1352.
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | |   (13797)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.86  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.86  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.86  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.86  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.86  | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.86  | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.83/29.86  | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.83/29.86  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.86  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.86  | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.86  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.86  | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | BETA: splitting (13797) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | |   (13798)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.86  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.86  | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.86  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13635), (13778), (13798), (function-axioms)
% 190.83/29.86  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1588.
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | |   (13799)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.86  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.86  | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.83/29.86  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.86  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.86  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.86  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | BETA: splitting (13799) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | |   (13800)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.86  | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | ALPHA: (13800) implies:
% 190.83/29.86  | | | | | | | | | | | | | | | | | |   (13801)  op(e1, e2) = e1
% 190.83/29.86  | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13769), (13801), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | |   (13802)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.86  | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.86  | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | BETA: splitting (13802) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |   (13803)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | ALPHA: (13803) implies:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |   (13804)  op(e1, e2) = e1
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13769), (13804), (function-axioms) are
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |   (13805)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | ALPHA: (13805) implies:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |   (13806)   ~ (all_57_7 = e2)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |   (13807)  op(e2, e1) = all_57_7
% 190.83/29.86  | | | | | | | | | | | | | | | | | | |   (13808)  op(e3, e1) = e3
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |   (13809)  all_54_15 = e3
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (13180), (13809) are inconsistent by
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | |   (13810)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13810) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13811)  all_54_15 = e2
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (13811) imply:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13812)  all_14_2 = e2
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | SIMP: (13812) implies:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13813)  all_14_2 = e2
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (13813) imply:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13814)  all_28_2 = e2
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13815)   ~ (all_28_2 = e2)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13814), (13815) imply:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13816)  $false
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13816) is inconsistent.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |              all_57_7, e1, e2, simplifying with (165), (13807)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13817)  all_57_7 = all_52_9
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (13808) gives:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13818)  all_52_8 = e3
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13806), (13817) imply:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13819)   ~ (all_52_9 = e2)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (13818) imply:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13820)   ~ (all_52_9 = e3)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | SIMP: (13820) implies:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |   (13821)   ~ (all_52_9 = e3)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (198), (261), (13770), (13788), (13819), (13821)
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #626.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |   (13822)  all_54_15 = e1 | all_54_15 = e0
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (13178), (13791), (13822) are inconsistent
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1659.
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | | End of split
% 190.83/29.86  | | | | | | | | | | | | | | | 
% 190.83/29.86  | | | | | | | | | | | | | | Case 2:
% 190.83/29.86  | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | |   (13823)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.87  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.87  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.87  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.87  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.87  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.87  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.87  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.87  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.87  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.87  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.87  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.87  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.87  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.87  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.83/29.87  | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.83/29.87  | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.83/29.87  | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.83/29.87  | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.87  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.87  | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.83/29.87  | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.83/29.87  | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.87  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.87  | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.87  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.87  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.87  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.87  | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.87  | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.87  | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.87  | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.87  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.87  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.87  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.87  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.87  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.87  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.87  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.87  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.87  | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | BETA: splitting (13823) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | |   (13824)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.87  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.87  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.87  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.87  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.87  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.87  | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.87  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.87  | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.87  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.87  | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.87  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.87  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.87  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.87  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (51), (13173), (13178), (13824),
% 190.83/29.87  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.87  | | | | | | | | | | | | | | | |            #377.
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | |   (13825)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.87  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.87  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.87  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.87  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.87  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.87  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.83/29.87  | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.87  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.87  | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.83/29.87  | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.83/29.87  | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.83/29.87  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.83/29.87  | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.87  | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.83/29.87  | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.83/29.87  | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.87  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.87  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.87  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.87  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.87  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.87  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | BETA: splitting (13825) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | |   (13826)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.87  | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.87  | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.87  | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.87  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.87  | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.83/29.87  | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (117), (159), (160),
% 190.83/29.87  | | | | | | | | | | | | | | | | |            (162), (164), (165), (239), (13165), (13169),
% 190.83/29.87  | | | | | | | | | | | | | | | | |            (13176), (13632), (13635), (13769), (13773),
% 190.83/29.87  | | | | | | | | | | | | | | | | |            (13778), (13826), (function-axioms) are
% 190.83/29.87  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #355.
% 190.83/29.87  | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | |   (13827)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.87  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.87  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.87  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.87  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.87  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.87  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.87  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.87  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.87  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.87  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.87  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.87  | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | BETA: splitting (13827) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13828)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | ALPHA: (13828) implies:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13829)  all_57_11 = e2
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13830)  op(e2, e0) = e2
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (117), (159), (160),
% 190.83/29.87  | | | | | | | | | | | | | | | | | |            (162), (164), (165), (239), (13169), (13173),
% 190.83/29.87  | | | | | | | | | | | | | | | | | |            (13632), (13635), (13769), (13773), (13778),
% 190.83/29.87  | | | | | | | | | | | | | | | | | |            (13829), (13830), (function-axioms) are
% 190.83/29.87  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #353.
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13831)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.83/29.87  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | BETA: splitting (13831) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13832)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | ALPHA: (13832) implies:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13833)   ~ (all_57_14 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13834)  op(e1, e1) = all_57_14
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13635), (13833), (13834), (function-axioms) are
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13835)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | ALPHA: (13835) implies:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13836)  op(e0, e0) = all_57_15
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13837)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | |   (13838)  all_54_15 = e3
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (13180), (13838) are inconsistent by
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | |   (13839)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13839) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |   (13840)  all_54_15 = e2
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (13840) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |   (13841)  all_14_2 = e2
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | SIMP: (13841) implies:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |   (13842)  all_14_2 = e2
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (13842) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |   (13843)  op(e0, e0) = e2
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (157), (13631), (13635),
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |            (13773), (13836), (13837), (13843),
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |            #747.
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |   (13844)  all_54_15 = e1 | all_54_15 = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (13178), (13791), (13844) are inconsistent
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1659.
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | 
% 190.83/29.87  | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | |   (13845)  all_20_2 = e3
% 190.83/29.87  | | | | | | | |   (13846)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 190.83/29.87  | | | | | | | |              op(e1, e3) = all_20_1 & $i(all_20_0) &
% 190.83/29.87  | | | | | | | |              $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1, e3) =
% 190.83/29.87  | | | | | | | |              all_20_1 & $i(all_20_1))
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | COMBINE_EQS: (325), (13845) imply:
% 190.83/29.87  | | | | | | | |   (13847)  all_10_2 = e3
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | SIMP: (13847) implies:
% 190.83/29.87  | | | | | | | |   (13848)  all_10_2 = e3
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | COMBINE_EQS: (331), (13848) imply:
% 190.83/29.87  | | | | | | | |   (13849)  all_30_2 = e3
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | REDUCE: (350), (13848) imply:
% 190.83/29.87  | | | | | | | |   (13850)   ~ (all_52_2 = e3)
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | REDUCE: (361), (13848) imply:
% 190.83/29.87  | | | | | | | |   (13851)   ~ (all_52_6 = e3)
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | REDUCE: (363), (13848) imply:
% 190.83/29.87  | | | | | | | |   (13852)   ~ (all_52_8 = e3)
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | REDUCE: (364), (13848) imply:
% 190.83/29.87  | | | | | | | |   (13853)   ~ (all_52_9 = e3)
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | REDUCE: (366), (13848) imply:
% 190.83/29.87  | | | | | | | |   (13854)   ~ (all_52_11 = e3)
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | REDUCE: (368), (13848) imply:
% 190.83/29.87  | | | | | | | |   (13855)   ~ (all_52_14 = e3)
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | REDUCE: (45), (13848) imply:
% 190.83/29.87  | | | | | | | |   (13856)  op(e1, e1) = e3
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | BETA: splitting (67) gives:
% 190.83/29.87  | | | | | | | | 
% 190.83/29.87  | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | 
% 190.83/29.87  | | | | | | | | |   (13857)   ~ (all_24_2 = e1)
% 190.83/29.87  | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | REDUCE: (318), (13857) imply:
% 190.83/29.87  | | | | | | | | |   (13858)   ~ (all_4_2 = e1)
% 190.83/29.87  | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | BETA: splitting (76) gives:
% 190.83/29.87  | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | |   (13859)   ~ (all_30_2 = e3)
% 190.83/29.87  | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | REDUCE: (13849), (13859) imply:
% 190.83/29.87  | | | | | | | | | |   (13860)  $false
% 190.83/29.87  | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | CLOSE: (13860) is inconsistent.
% 190.83/29.87  | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | |   (13861)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 190.83/29.87  | | | | | | | | | |              & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 190.83/29.87  | | | | | | | | | |              $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 190.83/29.87  | | | | | | | | | |              = all_30_1 & $i(all_30_1))
% 190.83/29.87  | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | BETA: splitting (73) gives:
% 190.83/29.87  | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | |   (13862)   ~ (all_28_2 = e2)
% 190.83/29.87  | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | REDUCE: (330), (13862) imply:
% 190.83/29.87  | | | | | | | | | | |   (13863)   ~ (all_14_2 = e2)
% 190.83/29.87  | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | BETA: splitting (189) gives:
% 190.83/29.87  | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | |   (13864)  all_54_15 = e3
% 190.83/29.87  | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | REF_CLOSE: (246), (13180), (13864) are inconsistent by
% 190.83/29.87  | | | | | | | | | | | |            sub-proof #1675.
% 190.83/29.87  | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | |   (13865)   ~ (all_54_15 = e3)
% 190.83/29.87  | | | | | | | | | | | |   (13866)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 190.83/29.87  | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | BETA: splitting (13866) gives:
% 190.83/29.87  | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | |   (13867)  all_54_15 = e2
% 190.83/29.87  | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | REF_CLOSE: (246), (13863), (13867) are inconsistent by
% 190.83/29.87  | | | | | | | | | | | | |            sub-proof #1648.
% 190.83/29.87  | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | |   (13868)   ~ (all_54_15 = e2)
% 190.83/29.87  | | | | | | | | | | | | |   (13869)  all_54_15 = e1 | all_54_15 = e0
% 190.83/29.87  | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | BETA: splitting (13869) gives:
% 190.83/29.87  | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | |   (13870)  all_54_15 = e1
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | REF_CLOSE: (246), (13178), (13870) are inconsistent by
% 190.83/29.87  | | | | | | | | | | | | | |            sub-proof #1660.
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | |   (13871)  all_54_15 = e0
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | COMBINE_EQS: (246), (13871) imply:
% 190.83/29.87  | | | | | | | | | | | | | |   (13872)  all_14_2 = e0
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | SIMP: (13872) implies:
% 190.83/29.87  | | | | | | | | | | | | | |   (13873)  all_14_2 = e0
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | REDUCE: (369), (13873) imply:
% 190.83/29.87  | | | | | | | | | | | | | |   (13874)   ~ (all_52_11 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | REDUCE: (372), (13873) imply:
% 190.83/29.87  | | | | | | | | | | | | | |   (13875)   ~ (all_52_14 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | REDUCE: (13180), (13873) imply:
% 190.83/29.87  | | | | | | | | | | | | | |   (13876)   ~ (e3 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | REDUCE: (13863), (13873) imply:
% 190.83/29.87  | | | | | | | | | | | | | |   (13877)   ~ (e2 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | REDUCE: (13178), (13873) imply:
% 190.83/29.87  | | | | | | | | | | | | | |   (13878)   ~ (e1 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | REDUCE: (51), (13873) imply:
% 190.83/29.87  | | | | | | | | | | | | | |   (13879)  op(e0, e0) = e0
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 190.83/29.87  | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | |   (13880)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 190.83/29.87  | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | BETA: splitting (13880) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | |   (13881)  all_56_4 = e0 & op(e3, e1) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13171), (13881), (function-axioms) are
% 190.83/29.87  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | |   (13882)  all_56_5 = e0 & op(e2, e1) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | ALPHA: (13882) implies:
% 190.83/29.87  | | | | | | | | | | | | | | | |   (13883)  all_56_5 = e0
% 190.83/29.87  | | | | | | | | | | | | | | | |   (13884)  op(e2, e1) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | |   (13885)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | BETA: splitting (13885) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13886)  all_56_6 = e0 & op(e1, e3) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13168), (13886), (function-axioms) are
% 190.83/29.87  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13887)  all_56_7 = e0 & op(e1, e2) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | ALPHA: (13887) implies:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13888)  all_56_7 = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13889)  op(e1, e2) = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 190.83/29.87  | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (13889) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13890)  all_52_6 = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 190.83/29.87  | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (13884) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13891)  all_52_9 = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | REDUCE: (128), (13890) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13892)   ~ (all_52_7 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | SIMP: (13892) implies:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13893)   ~ (all_52_7 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | REDUCE: (126), (13890) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13894)   ~ (all_52_14 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | REDUCE: (118), (13891) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13895)   ~ (all_52_11 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | REDUCE: (117), (13891) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13896)   ~ (all_52_13 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | SIMP: (13896) implies:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13897)   ~ (all_52_13 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | REDUCE: (358), (13891) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13898)   ~ (all_4_2 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | SIMP: (13898) implies:
% 190.83/29.87  | | | | | | | | | | | | | | | | | |   (13899)   ~ (all_4_2 = e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13900)  all_54_5 = e3
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (13900) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13901)  all_4_2 = e3
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | REDUCE: (373), (13901) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13902)  $false
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | CLOSE: (13902) is inconsistent.
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13903)   ~ (all_54_5 = e3)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | |   (13904)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (13904) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | |   (13905)  all_54_5 = e2
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (13905) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | |   (13906)  all_4_2 = e2
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (13906) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | |   (13907)   ~ (all_52_1 = e2)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (13906) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | |   (13908)   ~ (all_52_13 = e2)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (13906) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | |   (13909)   ~ (e3 = e2)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (13906) imply:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | |   (13910)  op(e2, e2) = e2
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |   (13911)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13911) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |   (13912)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13912) gives:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |   (13913)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13907), (13913), (function-axioms) are
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |   (13914)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (13856), (13914), (function-axioms)
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #733.
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.87  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |   (13915)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13915) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (13916)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (13856), (13879), (13916),
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |            #1248.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (13917)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13917) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13918)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13918) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13919)  op(e3, e3) = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (13919), (function-axioms) are
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13920)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (13879), (13910), (13920),
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            #1487.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |   (13921)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13921) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |   (13922)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13922) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (13923)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (13879), (13923), (function-axioms)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #370.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (13924)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13924) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13925)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13925) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13926)  op(e0, e0) = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13879), (13926), (function-axioms) are
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13927)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13927) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (13928)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13928) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (13929)  op(e2, e2) = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (199), (268), (373), (13858), (13899),
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (13929), (function-axioms) are inconsistent by
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1220.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (13930)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13930) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (13931)  op(e1, e1) = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (13883), (13931), (function-axioms) are
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1551.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |   (13932)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13932) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (13933)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13933) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13934)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13934) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13935)  op(e2, e0) = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13908), (13935), (function-axioms) are
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13936)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13936) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13937)   ~ (all_57_14 = e0)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13938)   ~ (all_57_9 = e3)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13939)  op(e1, e0) = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13940)  op(e1, e1) = all_57_14
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (13941)  op(e3, e0) = all_57_9
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (13942)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13942) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13943)  all_56_2 = e2 & op(e2, e3) = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13943) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13944)  op(e2, e3) = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13907), (13944), (function-axioms) are
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1785.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13945)  all_56_3 = e2 & op(e2, e2) = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (13939) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13946)  all_52_14 = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14, e1, e1, simplifying with (13856),
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              (13940) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13947)  all_57_14 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_9, e0, e3, simplifying with (168), (13941)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13948)  all_57_9 = all_52_12
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13938), (13948) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13949)   ~ (all_52_12 = e3)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (13946) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13950)   ~ (all_52_2 = e1)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (13946) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13951)   ~ (all_52_12 = e1)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (13946) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13952)   ~ (all_52_13 = e1)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13855), (13946) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13953)   ~ (e3 = e1)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13954)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13954) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13955)  all_56_6 = e2 & op(e1, e3) = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13955) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13956)  op(e1, e3) = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13957)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13957) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13958)  all_56_9 = e3 & op(e3, e0) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13958) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13959)  op(e3, e0) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13949), (13959), (function-axioms) are
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13960)  all_56_10 = e3 & op(e2, e0) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13960) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13961)  all_56_10 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13962)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13962) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13963)  all_56_0 = e3 & op(e3, e3) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13963) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13964)  op(e3, e3) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13173), (13964), (function-axioms) are
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13965)  all_56_1 = e3 & op(e3, e2) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13965) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13966)  all_56_1 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13967)  op(e3, e2) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13968)  all_54_3 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (13968) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13969)  all_52_12 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13949), (13969) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13970)  $false
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13970) is inconsistent.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13971)   ~ (all_54_3 = e3)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13972)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13972) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13973)  all_54_3 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (13973) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13974)  all_52_12 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (13974) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13975)   ~ (all_52_8 = e2)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (13974) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13976)   ~ (all_52_13 = e2)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13977)  all_54_7 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (13977) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13978)  all_52_13 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13978) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13979)  all_52_13 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (13979) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13980)   ~ (all_52_1 = e3)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13981)  all_54_2 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (13981) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13982)  all_52_8 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13852), (13982) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13983)  $false
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13983) is inconsistent.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13984)   ~ (all_54_2 = e3)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13985)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13986)  all_54_4 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (13986) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13987)  all_52_1 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13980), (13987) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13988)  $false
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13988) is inconsistent.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13989)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13990)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13990) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13991)  all_56_0 = e3 & op(e3, e3) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13991) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13992)  op(e3, e3) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (13951), (13966), (13992),
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #891.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13993)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13993) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13994)  all_56_2 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (13858), (13952),
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13961), (13994), (function-axioms) are
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #886.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13995)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13995) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13996)  all_56_6 = e3 & op(e1, e3) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13996) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13997)  op(e1, e3) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13956), (13997), (function-axioms) are
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1371.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13998)  all_56_12 = e3 & op(e0, e3) = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13998) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13999)  all_56_12 = e3
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13989) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14000)  all_54_4 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (14000) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14001)  all_52_1 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13907), (14001) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14002)  $false
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14002) is inconsistent.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14003)  all_54_4 = e1 | all_54_4 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14004)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14004) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14005)  all_56_2 = e1 & op(e2, e3) = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14005) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14006)  all_56_2 = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13985) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14007)  all_54_2 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (14007) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14008)  all_52_8 = e2
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13975), (14008) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14009)  $false
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14009) is inconsistent.
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14010)   ~ (all_54_2 = e2)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14011)  all_54_2 = e1 | all_54_2 = e0
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14011) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14012)  all_54_2 = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (14012) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14013)  all_52_8 = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (14013) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14014)   ~ (all_52_11 = e1)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14014) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14015)   ~ (all_52_11 = e1)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13975), (14013) imply:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14016)   ~ (e2 = e1)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14017)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14017) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14018)  all_56_4 = e1 & op(e3, e1) = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14018) implies:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14019)  all_56_4 = e1
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14020)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14020) gives:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14021)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14021) gives:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14022)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (373), (13173), (14022),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #352.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14023)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14023) gives:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14024)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14024) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14025)  op(e3, e3) = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (13999),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14006), (14025), (function-axioms) are
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1845.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14026)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14026) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14027)  op(e1, e3) = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (269), (13167), (14003), (14027),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #687.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14028)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (159), (168), (13169), (13173), (13910),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13949), (13967), (14028), (function-axioms) are
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #351.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14029)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14029) gives:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14030)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14030) gives:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14031)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13897), (13908), (14031),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1172.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14032)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (13875), (14015), (14032),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1883.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14033)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14033) gives:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14034)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (13173), (13951), (13966), (13967),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14019), (14034), (function-axioms) are
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #350.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14035)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (13856), (13939), (14035),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1254.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14036)  all_56_5 = e1 & op(e2, e1) = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14036) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14037)  all_56_5 = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13883), (14037) are inconsistent by
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1842.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14038)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (13856), (14015), (14038),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1235.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14039)  all_54_2 = e0
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (14039) imply:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14040)  all_52_8 = e0
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13171), (14040) imply:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14041)  $false
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14041) is inconsistent.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14042)  all_56_3 = e1 & op(e2, e2) = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14042) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14043)  op(e2, e2) = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13910), (14043), (function-axioms) are
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14044)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14044) gives:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14045)  all_56_5 = e1 & op(e2, e1) = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14045) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14046)  all_56_5 = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13883), (14046) are inconsistent by
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1842.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14047)  all_56_10 = e1 & op(e2, e0) = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14047) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14048)  op(e2, e0) = e1
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (13167), (14003), (14048),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #690.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14049)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (13897), (13908), (13952), (14049) are
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1375.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14050)  all_54_3 = e1 | all_54_3 = e0
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (13172), (13951), (14050) are inconsistent
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1061.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14051)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (13852), (13949), (14051),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1296.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14052)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14052) gives:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14053)  all_56_11 = e3 & op(e1, e0) = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13855), (14053), (function-axioms) are
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1407.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14054)  all_56_15 = e3 & op(e0, e0) = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14054) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14055)  op(e0, e0) = e3
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13879), (14055), (function-axioms) are
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14056)  all_56_7 = e2 & op(e1, e2) = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14056) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14057)  all_56_7 = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13888), (14057) are inconsistent by
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1868.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14058)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14058) gives:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14059)  all_56_8 = e2 & op(e1, e1) = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14059) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14060)  op(e1, e1) = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13856), (14060), (function-axioms) are
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14061)  all_56_11 = e2 & op(e1, e0) = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14061) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14062)  all_56_11 = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (13856), (13888),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13950), (14062), (function-axioms) are
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #387.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (14063)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14063) gives:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14064)  all_56_5 = e2 & op(e2, e1) = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14064) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14065)  op(e2, e1) = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (13858), (13899), (13904),
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            (14065), (function-axioms) are inconsistent by
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1940.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14066)  all_56_10 = e2 & op(e2, e0) = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14066) implies:
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14067)  op(e2, e0) = e2
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13908), (14067), (function-axioms) are
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |   (14068)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14068) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14069)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14069) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14070)  op(e2, e0) = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13908), (14070), (function-axioms) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14071)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14071) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (14072)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14072) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (14073)  op(e2, e2) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (199), (268), (373), (13858), (13899),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (14073), (function-axioms) are inconsistent by
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1220.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (14074)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14074) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (14075)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (157), (158), (159), (373), (13169),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (13874), (13893), (13910), (14075),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |            #524.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14076)  all_54_5 = e1 | all_54_5 = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (13858), (13899), (14076) are inconsistent
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1941.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | |   (14077)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 190.83/29.90  | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 190.83/29.90  | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | BETA: splitting (14077) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14078)  all_56_8 = e0 & op(e1, e1) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | ALPHA: (14078) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14079)  op(e1, e1) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 190.83/29.90  | | | | | | | | | | | | | | | | | |            (13883), (14079), (function-axioms) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1551.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14080)  all_56_11 = e0 & op(e1, e0) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | ALPHA: (14080) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14081)  op(e1, e0) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13875), (14081), (function-axioms) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | |   (14082)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 190.83/29.90  | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 190.83/29.90  | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (13856), (13874), (14082),
% 190.83/29.90  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.90  | | | | | | | | | | | | | | |            #1238.
% 190.83/29.90  | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | |   (14083)  all_28_2 = e2
% 190.83/29.90  | | | | | | | | | | |   (14084)  ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0
% 190.83/29.90  | | | | | | | | | | |              & op(e0, e2) = all_28_1 & $i(all_28_0) &
% 190.83/29.90  | | | | | | | | | | |              $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2)
% 190.83/29.90  | | | | | | | | | | |              = all_28_1 & $i(all_28_1))
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | COMBINE_EQS: (330), (14083) imply:
% 190.83/29.90  | | | | | | | | | | |   (14085)  all_14_2 = e2
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | SIMP: (14085) implies:
% 190.83/29.90  | | | | | | | | | | |   (14086)  all_14_2 = e2
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | REDUCE: (351), (14086) imply:
% 190.83/29.90  | | | | | | | | | | |   (14087)   ~ (all_52_3 = e2)
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | REDUCE: (362), (14086) imply:
% 190.83/29.90  | | | | | | | | | | |   (14088)   ~ (all_52_7 = e2)
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | REDUCE: (369), (14086) imply:
% 190.83/29.90  | | | | | | | | | | |   (14089)   ~ (all_52_11 = e2)
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | REDUCE: (370), (14086) imply:
% 190.83/29.90  | | | | | | | | | | |   (14090)   ~ (all_52_12 = e2)
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | REDUCE: (371), (14086) imply:
% 190.83/29.90  | | | | | | | | | | |   (14091)   ~ (all_52_13 = e2)
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | REDUCE: (13180), (14086) imply:
% 190.83/29.90  | | | | | | | | | | |   (14092)   ~ (e3 = e2)
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | REDUCE: (51), (14086) imply:
% 190.83/29.90  | | | | | | | | | | |   (14093)  op(e0, e0) = e2
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | BETA: splitting (79) gives:
% 190.83/29.90  | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | |   (14094)   ~ (all_32_2 = e0)
% 190.83/29.90  | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | REDUCE: (314), (14094) imply:
% 190.83/29.90  | | | | | | | | | | | |   (14095)   ~ (all_4_2 = e0)
% 190.83/29.90  | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | BETA: splitting (199) gives:
% 190.83/29.90  | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | |   (14096)  all_54_5 = e3
% 190.83/29.90  | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | COMBINE_EQS: (268), (14096) imply:
% 190.83/29.90  | | | | | | | | | | | | |   (14097)  all_4_2 = e3
% 190.83/29.90  | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | REDUCE: (373), (14097) imply:
% 190.83/29.90  | | | | | | | | | | | | |   (14098)  $false
% 190.83/29.90  | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | CLOSE: (14098) is inconsistent.
% 190.83/29.90  | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | |   (14099)   ~ (all_54_5 = e3)
% 190.83/29.90  | | | | | | | | | | | | |   (14100)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 190.83/29.90  | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | BETA: splitting (14100) gives:
% 190.83/29.90  | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | |   (14101)  all_54_5 = e2
% 190.83/29.90  | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | COMBINE_EQS: (268), (14101) imply:
% 190.83/29.90  | | | | | | | | | | | | | |   (14102)  all_4_2 = e2
% 190.83/29.90  | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | REDUCE: (349), (14102) imply:
% 190.83/29.90  | | | | | | | | | | | | | |   (14103)   ~ (all_52_1 = e2)
% 190.83/29.90  | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | REDUCE: (358), (14102) imply:
% 190.83/29.90  | | | | | | | | | | | | | |   (14104)   ~ (all_52_9 = e2)
% 190.83/29.90  | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | REDUCE: (36), (14102) imply:
% 190.83/29.90  | | | | | | | | | | | | | |   (14105)  op(e2, e2) = e2
% 190.83/29.90  | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.83/29.90  | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | |   (14106)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.83/29.90  | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 190.83/29.90  | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (13173), (14103), (14106),
% 190.83/29.90  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.90  | | | | | | | | | | | | | | |            #349.
% 190.83/29.90  | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | |   (14107)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.83/29.90  | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 190.83/29.90  | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | BETA: splitting (14107) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | |   (14108)  all_56_6 = e2 & op(e1, e3) = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | ALPHA: (14108) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | |   (14109)  all_56_6 = e2
% 190.83/29.90  | | | | | | | | | | | | | | | |   (14110)  op(e1, e3) = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | |   (14111)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 190.83/29.90  | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | BETA: splitting (14111) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14112)  all_56_4 = e2 & op(e3, e1) = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | ALPHA: (14112) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14113)  all_56_4 = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14114)  op(e3, e1) = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 190.83/29.90  | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (14110) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14115)  all_52_2 = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 190.83/29.90  | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (14114) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14116)  all_52_8 = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | REDUCE: (144), (14115) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14117)   ~ (all_52_3 = e2)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | REDUCE: (134), (14116) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14118)   ~ (all_52_4 = e2)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | REDUCE: (123), (14116) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14119)   ~ (all_52_9 = e2)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | REDUCE: (121), (14116) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | |   (14120)   ~ (all_52_11 = e2)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | BETA: splitting (13846) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | |   (14121)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_20_1 & $i(all_20_0) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | |            $i(all_20_1)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | ALPHA: (14121) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | |   (14122)   ~ (all_20_0 = e0)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | |   (14123)  op(e1, e3) = all_20_1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | |   (14124)  op(all_20_1, e1) = all_20_0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | BETA: splitting (13861) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14125)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_30_1 & $i(all_30_0) &
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |            $i(all_30_1)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | ALPHA: (14125) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14126)   ~ (all_30_0 = e2)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14127)  op(e1, e3) = all_30_1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14128)  op(all_30_1, e1) = all_30_0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_30_1,
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (14110), (14127) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14129)  all_30_1 = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e1, simplifying with (14123),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |              (14127) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14130)  all_30_1 = all_20_1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14129), (14130) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14131)  all_20_1 = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | REDUCE: (14128), (14129) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14132)  op(e2, e1) = all_30_0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | REDUCE: (14124), (14131) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14133)  op(e2, e1) = all_20_0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |              all_20_0, e1, e2, simplifying with (165), (14133)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14134)  all_52_9 = all_20_0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |              all_30_0, e1, e2, simplifying with (165), (14132)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14135)  all_52_9 = all_30_0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14134), (14135) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14136)  all_30_0 = all_20_0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | SIMP: (14136) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14137)  all_30_0 = all_20_0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (14134) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14138)  all_54_6 = all_20_0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14134) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14139)   ~ (all_52_1 = all_20_0)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (14134) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14140)   ~ (all_52_13 = all_20_0)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | SIMP: (14140) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14141)   ~ (all_52_13 = all_20_0)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | REDUCE: (13853), (14134) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14142)   ~ (all_20_0 = e3)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | REDUCE: (14126), (14137) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | |   (14143)   ~ (all_20_0 = e2)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | |   (14144)  all_54_6 = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14138), (14144) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | |   (14145)  all_20_0 = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | REDUCE: (14142), (14145) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | |   (14146)  $false
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | CLOSE: (14146) is inconsistent.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | |   (14147)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14147) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | |   (14148)  all_54_6 = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14138), (14148) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | |   (14149)  all_20_0 = e2
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14143), (14149) imply:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | |   (14150)  $false
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14150) is inconsistent.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | |   (14151)  all_54_6 = e1 | all_54_6 = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |   (14152)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14152) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14153)  all_56_2 = e0 & op(e2, e3) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14153) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14154)  all_56_2 = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14155)  op(e2, e3) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (13173),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |            (14109), (14110), (14154), (14155),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |            #400.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14156)  all_56_3 = e0 & op(e2, e2) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14156) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14157)  op(e2, e2) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (199), (268), (373), (13858), (14095),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |            (14157), (function-axioms) are inconsistent by
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1220.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |   (14158)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14158) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14159)  all_56_5 = e0 & op(e2, e1) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14122), (14133), (14159), (function-axioms) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1269.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14160)  all_56_10 = e0 & op(e2, e0) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14160) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | |   (14161)  all_56_10 = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (14162)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14162) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14163)  all_56_9 = e3 & op(e3, e0) = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14163) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14164)  all_56_9 = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14165)  op(e3, e0) = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14166)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14166) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14167)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14167) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14168)  all_56_2 = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14169)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (14161), (14164), (14169) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #348.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14170)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14170) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14171)  all_56_11 = e1 & op(e1, e0) = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14171) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14172)  all_56_11 = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14173)  op(e1, e0) = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14174)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14174) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14175)  all_56_0 = e1 & op(e3, e3) = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14175) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14176)  op(e3, e3) = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (14176), (function-axioms) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14177)  all_56_1 = e1 & op(e3, e2) = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14177) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14178)  all_56_1 = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14179)  op(e3, e2) = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14180)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14180) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14181)  all_56_6 = e0 & op(e1, e3) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13168), (14181), (function-axioms) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14182)  all_56_7 = e0 & op(e1, e2) = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14182) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14183)  all_56_7 = e0
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (110), (125), (134), (135),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (140), (145), (148), (157), (158), (159),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (164), (167), (169), (170), (190),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (192), (197), (200), (203), (227), (228),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (233), (238), (239), (247), (248),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249), (260), (269), (272), (373), (13165),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13167), (13169), (13170), (13173), (13176),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13851), (13854), (13856), (14087), (14088),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14089), (14091), (14093), (14103), (14105),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14109), (14118), (14122), (14138), (14139),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14141), (14151), (14165), (14168), (14173),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14178), (14179), (14183), (function-axioms) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #345.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14184)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9), (160), (162), (216), (13851),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13855), (14109), (14172), (14184),
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #344.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14185)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14185) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14186)  all_56_4 = e1 & op(e3, e1) = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14113), (14186) are inconsistent by
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1756.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14187)  all_56_9 = e1 & op(e3, e0) = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14164), (14187) are inconsistent by
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #820.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14188)  all_56_15 = e1 & op(e0, e0) = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14188) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14189)  op(e0, e0) = e1
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14093), (14189), (function-axioms) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14190)  all_56_3 = e3 & op(e2, e2) = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14190) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14191)  op(e2, e2) = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (14191), (function-axioms) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14192)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14192) gives:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14193)  all_56_5 = e3 & op(e2, e1) = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14193) implies:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14194)  op(e2, e1) = e3
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13853), (14194), (function-axioms) are
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14195)  all_56_10 = e3 & op(e2, e0) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14161), (14195) are inconsistent by
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #905.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14196)  all_56_10 = e3 & op(e2, e0) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14196) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14197)  all_56_10 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14161), (14197) are inconsistent by
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1432.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (14198)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (13855), (14093), (14198),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |            #1119.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14199)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |            $i(all_30_1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | ALPHA: (14199) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14200)   ~ (all_30_1 = e0)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14201)  op(e1, e3) = all_30_1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_30_1,
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (14110), (14201) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14202)  all_30_1 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e1, simplifying with (14123),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |              (14201) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14203)  all_30_1 = all_20_1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14202), (14203) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14204)  all_20_1 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (14124), (14204) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14205)  op(e2, e1) = all_20_0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |              all_20_0, e1, e2, simplifying with (165), (14205)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14206)  all_52_9 = all_20_0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (14206) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14207)  all_54_6 = all_20_0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14206) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14208)   ~ (all_52_1 = all_20_0)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (14206) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14209)   ~ (all_52_13 = all_20_0)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | SIMP: (14209) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14210)   ~ (all_52_13 = all_20_0)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (13853), (14206) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14211)   ~ (all_20_0 = e3)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (14104), (14206) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14212)   ~ (all_20_0 = e2)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | |   (14213)  all_54_6 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14207), (14213) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | |   (14214)  all_20_0 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | REDUCE: (14211), (14214) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | |   (14215)  $false
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | CLOSE: (14215) is inconsistent.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | |   (14216)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14216) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | |   (14217)  all_54_6 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14207), (14217) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | |   (14218)  all_20_0 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14212), (14218) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | |   (14219)  $false
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14219) is inconsistent.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | |   (14220)  all_54_6 = e1 | all_54_6 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | |   (14221)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14221) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14222)  all_56_2 = e0 & op(e2, e3) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14222) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14223)  all_56_2 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14224)  op(e2, e3) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (13173),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |            (14109), (14110), (14223), (14224),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |            #400.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14225)  all_56_3 = e0 & op(e2, e2) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14225) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14226)  op(e2, e2) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (199), (268), (373), (13858), (14095),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |            (14226), (function-axioms) are inconsistent by
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1220.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | |   (14227)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14227) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14228)  all_56_5 = e0 & op(e2, e1) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14122), (14205), (14228), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1269.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14229)  all_56_10 = e0 & op(e2, e0) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14229) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14230)  all_56_10 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (14231)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14231) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14232)  all_56_9 = e3 & op(e3, e0) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14232) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14233)  all_56_9 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14234)  op(e3, e0) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14235)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14235) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14236)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14236) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14237)  all_56_2 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14238)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (14230), (14233), (14238) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #348.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14239)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14239) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14240)  all_56_11 = e1 & op(e1, e0) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14240) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14241)  all_56_11 = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14242)  op(e1, e0) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14243)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14243) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14244)  all_56_0 = e1 & op(e3, e3) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14244) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14245)  op(e3, e3) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (14245), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14246)  all_56_1 = e1 & op(e3, e2) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14246) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14247)  all_56_1 = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14248)  op(e3, e2) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14249)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14249) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14250)  all_56_6 = e0 & op(e1, e3) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14250) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14251)  op(e1, e3) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14123), (14200), (14201), (14251),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1288.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14252)  all_56_7 = e0 & op(e1, e2) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14252) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14253)  all_56_7 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (110), (125), (134), (135),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (140), (145), (148), (157), (158), (159),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (164), (167), (169), (170), (190),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (192), (197), (200), (203), (227), (228),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (233), (238), (239), (247), (248),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249), (260), (269), (272), (373), (13165),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13167), (13169), (13170), (13173), (13176),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13851), (13854), (13856), (14087), (14088),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14089), (14091), (14093), (14103), (14105),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14109), (14118), (14122), (14207), (14208),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14210), (14220), (14234), (14237), (14242),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14247), (14248), (14253), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #345.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14254)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9), (160), (162), (216), (13851),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13855), (14109), (14241), (14254),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #344.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14255)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14255) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14256)  all_56_4 = e1 & op(e3, e1) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14113), (14256) are inconsistent by
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1756.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14257)  all_56_9 = e1 & op(e3, e0) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14233), (14257) are inconsistent by
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #820.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14258)  all_56_15 = e1 & op(e0, e0) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14258) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14259)  op(e0, e0) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14093), (14259), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14260)  all_56_3 = e3 & op(e2, e2) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14260) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14261)  op(e2, e2) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (14261), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14262)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14262) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14263)  all_56_5 = e3 & op(e2, e1) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14263) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14264)  op(e2, e1) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13853), (14264), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14265)  all_56_10 = e3 & op(e2, e0) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14265) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14266)  all_56_10 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14230), (14266) are inconsistent by
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1432.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14267)  all_56_10 = e3 & op(e2, e0) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14267) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14268)  all_56_10 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14230), (14268) are inconsistent by
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1432.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (14269)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (13855), (14093), (14269),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |            #1119.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | |   (14270)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 190.83/29.91  | | | | | | | | | | | | | | | | | | |            $i(all_20_1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13861), (14110), (14270), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #343.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | |   (14271)  all_56_5 = e2 & op(e2, e1) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | ALPHA: (14271) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | |   (14272)  op(e2, e1) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14104), (14272), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | |   (14273)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 190.83/29.91  | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (13856), (14089), (14273),
% 190.83/29.91  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.91  | | | | | | | | | | | | | | | | |            #685.
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | |   (14274)  all_56_12 = e2 & op(e0, e3) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14087), (14274), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | |   (14275)  all_54_5 = e1 | all_54_5 = e0
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | REF_CLOSE: (268), (13858), (14095), (14275) are inconsistent
% 190.83/29.91  | | | | | | | | | | | | | |            by sub-proof #1941.
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | |   (14276)  all_32_2 = e0
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | COMBINE_EQS: (314), (14276) imply:
% 190.83/29.91  | | | | | | | | | | | |   (14277)  all_4_2 = e0
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | COMBINE_EQS: (309), (14277) imply:
% 190.83/29.91  | | | | | | | | | | | |   (14278)  all_36_2 = e0
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | REDUCE: (354), (14277) imply:
% 190.83/29.91  | | | | | | | | | | | |   (14279)   ~ (all_52_6 = e0)
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | REDUCE: (356), (14277) imply:
% 190.83/29.91  | | | | | | | | | | | |   (14280)   ~ (all_52_7 = e0)
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | REDUCE: (360), (14277) imply:
% 190.83/29.91  | | | | | | | | | | | |   (14281)   ~ (all_52_13 = e0)
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | REDUCE: (373), (14277) imply:
% 190.83/29.91  | | | | | | | | | | | |   (14282)   ~ (e3 = e0)
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | REDUCE: (13858), (14277) imply:
% 190.83/29.91  | | | | | | | | | | | |   (14283)   ~ (e1 = e0)
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | REDUCE: (36), (14277) imply:
% 190.83/29.91  | | | | | | | | | | | |   (14284)  op(e2, e2) = e0
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | BETA: splitting (206) gives:
% 190.83/29.91  | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | |   (14285)  all_56_15 = e0 & op(e0, e0) = e0
% 190.83/29.91  | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | ALPHA: (14285) implies:
% 190.83/29.91  | | | | | | | | | | | | |   (14286)  op(e0, e0) = e0
% 190.83/29.91  | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | REF_CLOSE: (5), (14093), (14286), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 190.83/29.91  | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | |   (14287)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.83/29.91  | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 190.83/29.91  | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 190.83/29.91  | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 190.83/29.91  | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 190.83/29.91  | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | ALPHA: (14287) implies:
% 190.83/29.91  | | | | | | | | | | | | |   (14288)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 190.83/29.91  | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 190.83/29.91  | | | | | | | | | | | | |                e1) = e0)
% 190.83/29.91  | | | | | | | | | | | | |   (14289)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 190.83/29.91  | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 190.83/29.91  | | | | | | | | | | | | |                e0) = e0)
% 190.83/29.91  | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | BETA: splitting (14288) gives:
% 190.83/29.91  | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | |   (14290)  all_56_12 = e0 & op(e0, e3) = e0
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | ALPHA: (14290) implies:
% 190.83/29.91  | | | | | | | | | | | | | |   (14291)  op(e0, e3) = e0
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (14291), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | |   (14292)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 190.83/29.91  | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | BETA: splitting (14292) gives:
% 190.83/29.91  | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | |   (14293)  all_56_13 = e0 & op(e0, e2) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | ALPHA: (14293) implies:
% 190.83/29.91  | | | | | | | | | | | | | | |   (14294)  op(e0, e2) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | REF_CLOSE: (158), (14280), (14294), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 190.83/29.91  | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | |   (14295)  all_56_14 = e0 & op(e0, e1) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | ALPHA: (14295) implies:
% 190.83/29.91  | | | | | | | | | | | | | | |   (14296)  all_56_14 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | BETA: splitting (14289) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | |   (14297)  all_56_9 = e0 & op(e3, e0) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | ALPHA: (14297) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | |   (14298)  op(e3, e0) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13172), (14298), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | |   (14299)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 190.83/29.91  | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | BETA: splitting (14299) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | |   (14300)  all_56_10 = e0 & op(e2, e0) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | ALPHA: (14300) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | |   (14301)  op(e2, e0) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14281), (14301), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | |   (14302)  all_56_11 = e0 & op(e1, e0) = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | ALPHA: (14302) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | |   (14303)  all_56_11 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | |   (14304)  all_54_12 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (14304) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | |   (14305)  all_52_3 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | SIMP: (14305) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | |   (14306)  all_52_3 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | REDUCE: (140), (14306) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | |   (14307)   ~ (all_52_7 = e3)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | SIMP: (14307) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | |   (14308)   ~ (all_52_7 = e3)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | |   (14309)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | BETA: splitting (14309) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14310)  all_56_1 = e3 & op(e3, e2) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | ALPHA: (14310) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14311)  all_56_1 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | |   (14312)  op(e3, e2) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | |   (14313)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (14284), (14312), (14313),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | |            #1926.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | |   (14314)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14314) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | |   (14315)  all_56_7 = e2 & op(e1, e2) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14315) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | |   (14316)  all_56_7 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | |   (14317)  op(e1, e2) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | |   (14318)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14318) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14319)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14319) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14320)  all_56_2 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | |   (14321)  op(e2, e3) = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (14322)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (14284), (14312), (14322),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |            #717.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (14323)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14323) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14324)  all_56_7 = e1 & op(e1, e2) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14324) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14325)  op(e1, e2) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14317), (14325), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14326)  all_56_13 = e1 & op(e0, e2) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14326) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14327)  all_56_13 = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14328)  all_54_13 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (14328) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14329)  all_52_7 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14308), (14329) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14330)  $false
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14330) is inconsistent.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14331)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14332)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14332) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14333)  all_56_6 = e1 & op(e1, e3) = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14333) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14334)  all_56_6 = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14331) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14335)  all_54_13 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (14335) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14336)  all_52_7 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14088), (14336) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14337)  $false
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14337) is inconsistent.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14338)  all_54_13 = e1 | all_54_13 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14338) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14339)  all_54_13 = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (14339) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14340)  all_52_7 = e1
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (14340) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14341)   ~ (all_52_4 = e1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14340) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14342)   ~ (all_52_6 = e1)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14343)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14343) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14344)  all_56_2 = e2 & op(e2, e3) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14344) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14345)  op(e2, e3) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14321), (14345), (function-axioms) are
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1869.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14346)  all_56_3 = e2 & op(e2, e2) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14346) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14347)  op(e2, e2) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (14311), (14316), (14327),
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14347), (function-axioms) are inconsistent by
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1866.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14348)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14348) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14349)  all_56_5 = e2 & op(e2, e1) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14349) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14350)  op(e2, e1) = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14351)  all_54_9 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (13851), (14351) are inconsistent by
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14352)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14352) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14353)  all_54_9 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (14353) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14354)  all_52_6 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14354) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14355)  all_52_6 = e2
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (14355) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14356)   ~ (all_52_4 = e2)
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14357)  all_54_1 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (14357) imply:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14358)  all_52_4 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14358) implies:
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14359)  all_52_4 = e3
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (14359) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14360)   ~ (all_52_12 = e3)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14360) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14361)   ~ (all_52_12 = e3)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14362)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14362) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14363)  all_56_9 = e3 & op(e3, e0) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14363) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14364)  op(e3, e0) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14361), (14364), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14365)  all_56_10 = e3 & op(e2, e0) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14365) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14366)  all_56_10 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14367)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14367) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14368)  all_56_2 = e1 & op(e2, e3) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14320), (14368) are inconsistent by
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1726.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14369)  all_56_3 = e1 & op(e2, e2) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14369) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14370)  op(e2, e2) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (14320),
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14321), (14366), (14370), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1165.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14371)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14371) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14372)  all_56_5 = e1 & op(e2, e1) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14372) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14373)  op(e2, e1) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14350), (14373), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14374)  all_56_10 = e1 & op(e2, e0) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14366), (14374) are inconsistent by
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1539.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14375)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14375) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14376)  all_56_11 = e3 & op(e1, e0) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (213), (215), (13856),
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14334), (14376), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #835.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14377)  all_56_15 = e3 & op(e0, e0) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14377) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14378)  op(e0, e0) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14093), (14378), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14379)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (13170), (14341), (14356), (14379) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1897.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14380)  all_54_9 = e1 | all_54_9 = e0
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14279), (14342), (14380) are inconsistent
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1802.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14381)  all_56_10 = e2 & op(e2, e0) = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14381) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14382)  op(e2, e0) = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14091), (14382), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14383)  all_54_13 = e0
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (14383) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14384)  all_52_7 = e0
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14280), (14384) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14385)  $false
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14385) is inconsistent.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14386)  all_56_7 = e1 & op(e1, e2) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14386) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14387)  op(e1, e2) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14317), (14387), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14388)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14388) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14389)  all_56_8 = e1 & op(e1, e1) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14389) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14390)  op(e1, e1) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13856), (14390), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14391)  all_56_11 = e1 & op(e1, e0) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14303), (14391) are inconsistent by
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #342.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | |   (14392)  all_56_3 = e3 & op(e2, e2) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14392) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | |   (14393)  op(e2, e2) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (14393), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | |   (14394)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14394) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | |   (14395)  all_56_5 = e3 & op(e2, e1) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14395) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | |   (14396)  op(e2, e1) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13853), (14396), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | |   (14397)  all_56_10 = e3 & op(e2, e0) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14397) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | |   (14398)  all_56_10 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | |   (14399)  op(e2, e0) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (14400)  all_54_13 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (14400) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (14401)  all_52_7 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14308), (14401) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (14402)  $false
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14402) is inconsistent.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (14403)   ~ (all_54_13 = e3)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (14404)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14405)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14405) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14406)  all_56_0 = e3 & op(e3, e3) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14406) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14407)  op(e3, e3) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13173), (14407), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14408)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14408) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14409)  all_56_2 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14410)  op(e2, e3) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (164), (222), (223),
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14091), (14284), (14398), (14409), (14410),
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #341.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14411)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14411) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14412)  all_56_6 = e3 & op(e1, e3) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14412) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14413)  op(e1, e3) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13850), (14413), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14414)  all_56_12 = e3 & op(e0, e3) = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14414) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14415)  all_56_12 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14416)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14416) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14417)  all_56_9 = e1 & op(e3, e0) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14417) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14418)  all_56_9 = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14419)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14419) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14420)  all_56_6 = e1 & op(e1, e3) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14420) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14421)  all_56_6 = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14404) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14422)  all_54_13 = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (14088), (14422) are inconsistent by
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1444.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14423)   ~ (all_54_13 = e2)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14424)  all_54_13 = e1 | all_54_13 = e0
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14424) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14425)  all_54_13 = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (14425) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14426)  all_52_7 = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14426) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14427)  all_52_7 = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (14427) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14428)   ~ (all_52_4 = e1)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14427) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14429)   ~ (all_52_6 = e1)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14308), (14427) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14430)   ~ (e3 = e1)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14088), (14427) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14431)   ~ (e2 = e1)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14432)  all_54_9 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (13851), (14432) are inconsistent by
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14433)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14434)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14434) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14435)  all_56_0 = e2 & op(e3, e3) = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14435) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14436)  op(e3, e3) = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (14436), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14437)  all_56_2 = e2 & op(e2, e3) = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14437) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14438)  op(e2, e3) = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14439)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (13173), (14312), (14439),
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #379.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14440)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14440) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14441)  all_56_4 = e2 & op(e3, e1) = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14441) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14442)  all_56_4 = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14433) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14443)  all_54_9 = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (14443) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14444)  all_52_6 = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (14444) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14445)   ~ (all_52_4 = e2)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14446)  all_54_1 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (14446) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14447)  all_52_4 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14447) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14448)  all_52_4 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (14448) imply:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14449)   ~ (all_52_12 = e3)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14449) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14450)   ~ (all_52_12 = e3)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14451)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14451) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14452)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14452) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14453)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (373), (13173), (14453),
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #352.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14454)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (76), (373), (13173), (13849), (14438),
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14454), (function-axioms) are inconsistent by
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #340.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14455)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14455) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14456)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (14450), (14456),
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #397.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14457)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14457) gives:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14458)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14458) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14459)  op(e2, e2) = e1
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14284), (14459), (function-axioms) are
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1909.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14460)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14460) implies:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14461)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (14312), (14461), (function-axioms)
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14462)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14462) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14463)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14463) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14464)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14464) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14465)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14465) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14466)  op(e2, e0) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (85), (14278), (14399), (14466),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1706.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14467)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14467) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14468)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (14312), (14468), (function-axioms)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14469)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14469) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14470)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14470) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14471)  op(e1, e1) = e0
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (160), (216), (13855), (14317),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14421), (14471), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #668.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14472)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14472) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14473)  op(e0, e0) = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14093), (14473), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14474)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14474) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14475)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14475) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14476)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14476) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14477)  op(e3, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (230), (14311), (14418), (14442),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14477), (function-axioms) are inconsistent by
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1874.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14478)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14478) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14479)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (14312), (14479), (function-axioms)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14480)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (13856), (14093), (14480),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1169.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14481)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (13170), (14428), (14445), (14481) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1897.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14482)  all_54_9 = e1 | all_54_9 = e0
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14279), (14429), (14482) are inconsistent
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1802.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14483)  all_56_9 = e2 & op(e3, e0) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14090), (14483), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14484)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14484) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14485)  all_56_6 = e2 & op(e1, e3) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14485) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14486)  all_56_6 = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14421), (14486) imply:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14487)  e2 = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14487) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14488)  e2 = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14316), (14488) imply:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14489)  all_56_7 = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (215), (216),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13856), (14421), (14489), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #858.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14490)  all_56_12 = e2 & op(e0, e3) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14087), (14490), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14491)  all_54_13 = e0
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (14280), (14491) are inconsistent by
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1653.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14492)  all_56_7 = e1 & op(e1, e2) = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14492) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14493)  op(e1, e2) = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14317), (14493), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14494)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13856), (14303), (14494),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #339.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14495)  all_56_10 = e1 & op(e2, e0) = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14495) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14496)  all_56_10 = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14398), (14496) imply:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14497)  e3 = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14497) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14498)  e3 = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14415), (14498) imply:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14499)  all_56_12 = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14500)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14500) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14501)  all_56_0 = e3 & op(e3, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14501) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14502)  op(e3, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13173), (14502), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14503)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14503) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14504)  all_56_2 = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14505)  op(e2, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (164), (222), (223),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14091), (14284), (14398), (14504), (14505),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #341.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14411) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14506)  all_56_6 = e3 & op(e1, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14506) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14507)  op(e1, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13850), (14507), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14415), (14499) are inconsistent by
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1674.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14508)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14508) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14509)  all_56_11 = e1 & op(e1, e0) = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14303), (14509) are inconsistent by
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #342.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14510)  all_56_15 = e1 & op(e0, e0) = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14510) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14511)  op(e0, e0) = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14093), (14511), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |   (14512)  all_56_13 = e2 & op(e0, e2) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14512) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |   (14513)  op(e0, e2) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14088), (14513), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | |   (14514)  all_56_3 = e3 & op(e2, e2) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | ALPHA: (14514) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | |   (14515)  op(e2, e2) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (14515), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | |   (14516)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (13851), (14308), (14516),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.93  | | | | | | | | | | | | | | | | | | |            #454.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | |   (14517)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 190.83/29.93  | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | |   (14518)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | BETA: splitting (14518) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | |   (14519)  all_56_0 = e3 & op(e3, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | ALPHA: (14519) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | |   (14520)  op(e3, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13173), (14520), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | |   (14521)  all_56_2 = e3 & op(e2, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | ALPHA: (14521) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | |   (14522)  all_56_2 = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | |   (14523)  op(e2, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | |   (14524)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14524) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |   (14525)  all_56_12 = e3 & op(e0, e3) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14525) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |   (14526)  all_56_12 = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (140), (158), (207), (249),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |            (13169), (14087), (14093), (14296), (14517),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |            (14526), (function-axioms) are inconsistent by
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #337.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |   (14527)  all_56_13 = e3 & op(e0, e2) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14527) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |   (14528)  all_56_13 = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | |   (14529)  op(e0, e2) = e3
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | |   (14530)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14530) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | |   (14531)  all_56_12 = e1 & op(e0, e3) = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14531) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | |   (14532)  op(e0, e3) = e1
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14517) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (14533)  all_54_12 = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (14087), (14533) are inconsistent by
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1465.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (14534)  all_54_12 = e1 | all_54_12 = e0
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14535)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (14284), (14523), (14535),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1415.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14536)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14536) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14537)  all_56_5 = e2 & op(e2, e1) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14537) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14538)  op(e2, e1) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14539)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14539) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14540)  all_56_0 = e2 & op(e3, e3) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14540) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14541)  op(e3, e3) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (14541), (function-axioms) are
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14542)  all_56_2 = e2 & op(e2, e3) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14542) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14543)  op(e2, e3) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (14538), (14543),
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14544)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14544) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14545)  all_56_6 = e2 & op(e1, e3) = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14545) implies:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14546)  all_56_6 = e2
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14547)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14547) gives:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14548)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (36), (144), (163), (249), (373),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13169), (13173), (14534), (14548),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #335.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14549)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14549) gives:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14550)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14550) gives:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14551)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14551) implies:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14552)  op(e0, e3) = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14532), (14552), (function-axioms) are
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #375.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14553)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14553) implies:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14554)  op(e0, e3) = e0
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (14554), (function-axioms) are
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14555)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (14284), (14538), (14555),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #588.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14556)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14556) gives:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14557)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14557) gives:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14558)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (14281), (14538), (14558),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #709.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14559)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (9), (160), (162), (216), (13851),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13855), (14093), (14546), (14559),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1128.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14560)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14560) gives:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14561)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14561) gives:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14562)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14562) implies:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14563)  op(e3, e3) = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (14522),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14546), (14563), (function-axioms) are
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1218.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14564)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14564) implies:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14565)  op(e2, e2) = e2
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14284), (14565), (function-axioms) are
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14566)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (13856), (14093), (14566),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1169.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14567)  all_56_12 = e2 & op(e0, e3) = e2
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (207), (14084),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14093), (14528), (14529), (14567),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1125.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14568)  all_56_10 = e2 & op(e2, e0) = e2
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14568) implies:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14569)  op(e2, e0) = e2
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14091), (14569), (function-axioms) are
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | |   (14570)  all_56_13 = e1 & op(e0, e2) = e1
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14570) implies:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | |   (14571)  op(e0, e2) = e1
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (158), (249), (13169), (14087), (14517),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | |            (14571), (function-axioms) are inconsistent by
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #338.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | |   (14572)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (14093), (14296), (14572),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | |            #1126.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | |   (14573)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14573) gives:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | |   (14574)  all_56_14 = e3 & op(e0, e1) = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14296), (14574) are inconsistent by
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #965.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | |   (14575)  all_56_15 = e3 & op(e0, e0) = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14575) implies:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | |   (14576)  op(e0, e0) = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14093), (14576), (function-axioms) are
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | |   (14577)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 190.83/29.94  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | BETA: splitting (14577) gives:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | |   (14578)  all_56_6 = e3 & op(e1, e3) = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | ALPHA: (14578) implies:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | |   (14579)  op(e1, e3) = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13850), (14579), (function-axioms) are
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | |   (14580)  all_56_12 = e3 & op(e0, e3) = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | ALPHA: (14580) implies:
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | |   (14581)  all_56_12 = e3
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (140), (158), (207), (249),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | |            (13169), (14087), (14093), (14296), (14517),
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | |            (14581), (function-axioms) are inconsistent by
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | |            sub-proof #337.
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | End of split
% 190.83/29.94  | | | | | | | | | 
% 190.83/29.94  | | | | | | | | Case 2:
% 190.83/29.94  | | | | | | | | | 
% 190.83/29.94  | | | | | | | | |   (14582)  all_24_2 = e1
% 190.83/29.94  | | | | | | | | |   (14583)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 190.83/29.94  | | | | | | | | |              op(e2, e1) = all_24_1 & $i(all_24_0) &
% 190.83/29.94  | | | | | | | | |              $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 190.83/29.94  | | | | | | | | |              = all_24_1 & $i(all_24_1))
% 190.83/29.94  | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | COMBINE_EQS: (318), (14582) imply:
% 190.83/29.94  | | | | | | | | |   (14584)  all_4_2 = e1
% 190.83/29.94  | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | REDUCE: (352), (14584) imply:
% 190.83/29.94  | | | | | | | | |   (14585)   ~ (all_52_4 = e1)
% 190.83/29.94  | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | REDUCE: (354), (14584) imply:
% 190.83/29.94  | | | | | | | | |   (14586)   ~ (all_52_6 = e1)
% 190.83/29.94  | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | REDUCE: (356), (14584) imply:
% 190.83/29.94  | | | | | | | | |   (14587)   ~ (all_52_7 = e1)
% 190.83/29.94  | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | REDUCE: (358), (14584) imply:
% 190.83/29.94  | | | | | | | | |   (14588)   ~ (all_52_9 = e1)
% 190.83/29.94  | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | REDUCE: (360), (14584) imply:
% 190.83/29.94  | | | | | | | | |   (14589)   ~ (all_52_13 = e1)
% 190.83/29.94  | | | | | | | | | 
% 190.83/29.94  | | | | | | | | | REDUCE: (373), (14584) imply:
% 190.83/29.94  | | | | | | | | |   (14590)   ~ (e3 = e1)
% 190.83/29.94  | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | REDUCE: (36), (14584) imply:
% 190.83/29.95  | | | | | | | | |   (14591)  op(e2, e2) = e1
% 190.83/29.95  | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | BETA: splitting (73) gives:
% 190.83/29.95  | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | |   (14592)   ~ (all_28_2 = e2)
% 190.83/29.95  | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | REDUCE: (330), (14592) imply:
% 190.83/29.95  | | | | | | | | | |   (14593)   ~ (all_14_2 = e2)
% 190.83/29.95  | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | BETA: splitting (189) gives:
% 190.83/29.95  | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | |   (14594)  all_54_15 = e3
% 190.83/29.95  | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | REF_CLOSE: (246), (13180), (14594) are inconsistent by
% 190.83/29.95  | | | | | | | | | | |            sub-proof #1675.
% 190.83/29.95  | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | |   (14595)   ~ (all_54_15 = e3)
% 190.83/29.95  | | | | | | | | | | |   (14596)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 190.83/29.95  | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | BETA: splitting (14596) gives:
% 190.83/29.95  | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | |   (14597)  all_54_15 = e2
% 190.83/29.95  | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | REF_CLOSE: (246), (14593), (14597) are inconsistent by
% 190.83/29.95  | | | | | | | | | | | |            sub-proof #1648.
% 190.83/29.95  | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | |   (14598)   ~ (all_54_15 = e2)
% 190.83/29.95  | | | | | | | | | | | |   (14599)  all_54_15 = e1 | all_54_15 = e0
% 190.83/29.95  | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | BETA: splitting (14599) gives:
% 190.83/29.95  | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | |   (14600)  all_54_15 = e1
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | REF_CLOSE: (246), (13178), (14600) are inconsistent by
% 190.83/29.95  | | | | | | | | | | | | |            sub-proof #1660.
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | |   (14601)  all_54_15 = e0
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | COMBINE_EQS: (246), (14601) imply:
% 190.83/29.95  | | | | | | | | | | | | |   (14602)  all_14_2 = e0
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | SIMP: (14602) implies:
% 190.83/29.95  | | | | | | | | | | | | |   (14603)  all_14_2 = e0
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | REDUCE: (362), (14603) imply:
% 190.83/29.95  | | | | | | | | | | | | |   (14604)   ~ (all_52_7 = e0)
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | REDUCE: (369), (14603) imply:
% 190.83/29.95  | | | | | | | | | | | | |   (14605)   ~ (all_52_11 = e0)
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | REDUCE: (371), (14603) imply:
% 190.83/29.95  | | | | | | | | | | | | |   (14606)   ~ (all_52_13 = e0)
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | REDUCE: (372), (14603) imply:
% 190.83/29.95  | | | | | | | | | | | | |   (14607)   ~ (all_52_14 = e0)
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | REDUCE: (13180), (14603) imply:
% 190.83/29.95  | | | | | | | | | | | | |   (14608)   ~ (e3 = e0)
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | REDUCE: (14593), (14603) imply:
% 190.83/29.95  | | | | | | | | | | | | |   (14609)   ~ (e2 = e0)
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | REDUCE: (13178), (14603) imply:
% 190.83/29.95  | | | | | | | | | | | | |   (14610)   ~ (e1 = e0)
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | REDUCE: (51), (14603) imply:
% 190.83/29.95  | | | | | | | | | | | | |   (14611)  op(e0, e0) = e0
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | BETA: splitting (217) gives:
% 190.83/29.95  | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | |   (14612)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 190.83/29.95  | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 190.83/29.95  | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | BETA: splitting (14612) gives:
% 190.83/29.95  | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | |   (14613)  all_56_4 = e0 & op(e3, e1) = e0
% 190.83/29.95  | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | REF_CLOSE: (169), (13171), (14613), (function-axioms) are
% 190.83/29.95  | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 190.83/29.95  | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | |   (14614)  all_56_5 = e0 & op(e2, e1) = e0
% 190.83/29.95  | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | ALPHA: (14614) implies:
% 190.83/29.95  | | | | | | | | | | | | | | |   (14615)  all_56_5 = e0
% 190.83/29.95  | | | | | | | | | | | | | | |   (14616)  op(e2, e1) = e0
% 190.83/29.95  | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | |   (14617)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 190.83/29.95  | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 190.83/29.95  | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (13170), (14591), (14617),
% 190.83/29.95  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.95  | | | | | | | | | | | | | | | |            #367.
% 190.83/29.95  | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | |   (14618)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 190.83/29.95  | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 190.83/29.95  | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | BETA: splitting (14618) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | |   (14619)  all_56_7 = e0 & op(e1, e2) = e0
% 190.83/29.95  | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | ALPHA: (14619) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | |   (14620)  all_56_7 = e0
% 190.83/29.95  | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | BETA: splitting (14583) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14621)   ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_24_1 & $i(all_24_0) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | |            $i(all_24_1)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | ALPHA: (14621) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14622)   ~ (all_24_0 = e3)
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14623)  op(e2, e1) = all_24_1
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14624)  op(all_24_1, e2) = all_24_0
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_24_1,
% 190.83/29.95  | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (14616), (14623) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14625)  all_24_1 = e0
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | REDUCE: (14624), (14625) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14626)  op(e0, e2) = all_24_0
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 190.83/29.95  | | | | | | | | | | | | | | | | | |              all_24_0, e2, e0, simplifying with (158), (14626)
% 190.83/29.95  | | | | | | | | | | | | | | | | | |              gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14627)  all_52_7 = all_24_0
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (14627) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14628)  all_54_13 = all_24_0
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | REDUCE: (135), (14627) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14629)   ~ (all_52_4 = all_24_0)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | REDUCE: (125), (14627) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14630)   ~ (all_52_11 = all_24_0)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | SIMP: (14630) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14631)   ~ (all_52_11 = all_24_0)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | REDUCE: (14587), (14627) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14632)   ~ (all_24_0 = e1)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | REDUCE: (14604), (14627) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | |   (14633)   ~ (all_24_0 = e0)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | |   (14634)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (14634) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | |   (14635)  all_56_12 = e3 & op(e0, e3) = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | ALPHA: (14635) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | |   (14636)  all_56_12 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | |   (14637)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14637) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | |   (14638)  all_56_0 = e1 & op(e3, e3) = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14638) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | |   (14639)  op(e3, e3) = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (14639), (function-axioms) are
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | |   (14640)  all_56_2 = e1 & op(e2, e3) = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14640) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | |   (14641)  all_56_2 = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | |   (14642)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14591), (14641), (14642), (function-axioms)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1021.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | |   (14643)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14643) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |   (14644)  all_56_5 = e3 & op(e2, e1) = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14644) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |   (14645)  op(e2, e1) = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13853), (14645), (function-axioms) are
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |   (14646)  all_56_10 = e3 & op(e2, e0) = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14646) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |   (14647)  all_56_10 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (14648)  all_54_13 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14622), (14628), (14648) are inconsistent by
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #388.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (14649)   ~ (all_54_13 = e3)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (14650)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14650) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14651)  all_54_13 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14628), (14651) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14652)  all_24_0 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14652) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14653)  all_24_0 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14631), (14653) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14654)   ~ (all_52_11 = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14622), (14653) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14655)   ~ (e3 = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14656)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14656) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14657)  all_56_4 = e2 & op(e3, e1) = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14657) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14658)  all_56_4 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (117), (146), (164),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (218), (219), (223), (13856),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14591), (14615), (14641), (14647), (14658),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #334.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14659)  all_56_5 = e2 & op(e2, e1) = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14659) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14660)  all_56_5 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14615), (14660) are inconsistent by
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1860.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14661)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (13856), (14654), (14661),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #685.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14662)  all_54_13 = e1 | all_54_13 = e0
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (14587), (14604), (14662) are inconsistent
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1652.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | |   (14663)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14663) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | |   (14664)  all_56_6 = e1 & op(e1, e3) = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14664) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | |   (14665)  all_56_6 = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | |   (14666)  op(e1, e3) = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | |   (14667)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14667) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |   (14668)  all_56_0 = e2 & op(e3, e3) = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14668) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |   (14669)  op(e3, e3) = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (14669), (function-axioms) are
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |   (14670)  all_56_2 = e2 & op(e2, e3) = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14670) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |   (14671)  all_56_2 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | |   (14672)  op(e2, e3) = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (14673)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (14591), (14672), (14673),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | |            #333.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (14674)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14674) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14675)  all_56_5 = e3 & op(e2, e1) = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14675) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14676)  op(e2, e1) = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13853), (14676), (function-axioms) are
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14677)  all_56_10 = e3 & op(e2, e0) = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14677) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14678)  all_56_10 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14679)  all_54_13 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14622), (14628), (14679) are inconsistent by
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #388.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14680)   ~ (all_54_13 = e3)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14681)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14681) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14682)  all_54_13 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14628), (14682) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14683)  all_24_0 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14683) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14684)  all_24_0 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14629), (14684) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14685)   ~ (all_52_4 = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14631), (14684) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14686)   ~ (all_52_11 = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14622), (14684) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14687)   ~ (e3 = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14688)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14688) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14689)  all_56_4 = e2 & op(e3, e1) = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14689) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14690)  all_56_4 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14691)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14691) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14692)  all_56_12 = e1 & op(e0, e3) = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14692) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14693)  all_56_12 = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14636), (14693) are inconsistent by
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1674.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14694)  all_56_13 = e1 & op(e0, e2) = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14694) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14695)  op(e0, e2) = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14587), (14695), (function-axioms) are
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14696)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14696) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14697)  all_56_14 = e1 & op(e0, e1) = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14697) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14698)  all_56_14 = e1
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14699)  all_54_1 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (14699) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14700)  all_52_4 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14700) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14701)  all_52_4 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (14701) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14702)   ~ (all_52_12 = e3)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14702) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14703)   ~ (all_52_12 = e3)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (14701) imply:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14704)  op(e3, e2) = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14705)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (203), (272), (13170), (14585),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14591), (14685), (14705), (function-axioms) are
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #332.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14706)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14706) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14707)  all_56_7 = e2 & op(e1, e2) = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (13856),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14615), (14620), (14690), (14707),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #331.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14708)  all_56_13 = e2 & op(e0, e2) = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14708) implies:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14709)  all_56_13 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14710)  op(e0, e2) = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14711)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14711) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14712)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14712) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14713)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (13173), (14591), (14713),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #364.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14714)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (76), (373), (13173), (13849), (14672),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14714), (function-axioms) are inconsistent by
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #340.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14715)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14715) gives:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14716)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (14703), (14716),
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #397.
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14717)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14717) gives:
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14718)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14718) implies:
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14719)  op(e2, e1) = e2
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (117), (146), (164),
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (217), (218), (219), (223), (13856),
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14591), (14690), (14698), (14719),
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1132.
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14720)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14720) implies:
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14721)  op(e1, e2) = e1
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (14586), (14721), (function-axioms) are
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 190.83/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14722)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14722) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14723)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14723) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14724)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14724) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14725)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14725) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14726)  op(e2, e2) = e0
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (164), (222), (14589), (14615), (14671),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14726), (function-axioms) are inconsistent by
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #872.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14727)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14727) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14728)  op(e2, e0) = e0
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14606), (14728), (function-axioms) are
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14729)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14729) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14730)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14730) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14731)  op(e1, e1) = e0
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (14615),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14698), (14731), (function-axioms) are
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1552.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14732)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14732) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14733)  op(e1, e0) = e0
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14607), (14733), (function-axioms) are
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14734)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14734) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14735)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14735) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14736)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14736) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14737)  op(e3, e3) = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (13168), (14636), (14737),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1332.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14738)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14738) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14739)  op(e2, e2) = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (162),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (226), (228), (373), (13851), (14604),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14709), (14739), (function-axioms) are
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #726.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14740)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14740) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14741)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14741) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14742)  op(e1, e1) = e1
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13856), (14742), (function-axioms) are
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14743)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14743) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14744)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14745)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14745) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14746)  all_57_12 = e0 & op(e2, e2) = e0
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14746) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14747)  op(e2, e2) = e0
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (164), (222), (14589), (14615), (14671),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14747), (function-axioms) are inconsistent by
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #872.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14748)   ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14748) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14749)   ~ (all_57_11 = e2)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14750)  op(e2, e0) = all_57_11
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14751)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14751) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14752)  all_56_6 = e2 & op(e1, e3) = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14752) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14753)  all_56_6 = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14665), (14753) imply:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14754)  e2 = e1
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14671), (14754) imply:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14755)  all_56_2 = e1
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (117), (146), (164),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (218), (219), (223), (13856),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14591), (14615), (14678), (14690), (14755),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #334.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14756)  all_56_7 = e2 & op(e1, e2) = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14756) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14757)  all_56_7 = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14758)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14758) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14759)  all_56_1 = e3 & op(e3, e2) = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14759) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14760)  all_56_1 = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (14591), (14709), (14757),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14760), (function-axioms) are inconsistent by
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #330.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14761)  all_56_3 = e3 & op(e2, e2) = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14761) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14762)  op(e2, e2) = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14591), (14762), (function-axioms) are
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14763)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14763) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14764)  all_56_7 = e3 & op(e1, e2) = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14764) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14765)  op(e1, e2) = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13851), (14765), (function-axioms) are
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14766)  all_56_13 = e3 & op(e0, e2) = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14766) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14767)  all_56_13 = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (14587), (14636), (14767),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #558.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14768)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14768) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14769)  all_56_8 = e2 & op(e1, e1) = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14769) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14770)  op(e1, e1) = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13856), (14770), (function-axioms) are
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14771)  all_56_11 = e2 & op(e1, e0) = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14771) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14772)  all_56_11 = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14744) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14773)  all_57_14 = e0 & op(e1, e1) = e0
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14773) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14774)  op(e1, e1) = e0
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (14620), (14665), (14772),
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14774), (function-axioms) are inconsistent by
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1524.
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14775)   ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14775) implies:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14776)   ~ (all_57_13 = e1)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14777)  op(e1, e0) = all_57_13
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14778)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14778) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14779)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14779) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14780)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14780) gives:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14781)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14781) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14782)   ~ (all_57_1 = e1)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14783)  op(e1, e3) = all_57_1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14666), (14782), (14783), (function-axioms) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1326.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14784)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14784) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14785)  op(e0, e0) = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (14636), (14698), (14709),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14785), (function-axioms) are inconsistent by
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #448.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14786)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13856), (14591), (14786), (function-axioms)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #683.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14787)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14787) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14788)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14788) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14789)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14789) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14790)  op(e1, e1) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13856), (14790), (function-axioms) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14791)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14791) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14792)  op(e0, e0) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (14636), (14698), (14709),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14792), (function-axioms) are inconsistent by
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1123.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14793)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (162), (169), (170), (14586), (14704),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14793), (function-axioms) are inconsistent by
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #426.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14794)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14794) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14795)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14795) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14796)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (14611), (14796), (function-axioms)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #370.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14797)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (14611), (14703), (14797),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1828.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14798)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14798) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14799)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14799) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14800)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14800) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14801)  op(e2, e0) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14749), (14750), (14801), (function-axioms) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #433.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14802)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14802) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14803)  op(e1, e0) = e1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14776), (14777), (14803), (function-axioms) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14804)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14804) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14805)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14805) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14806)  op(e2, e0) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14749), (14750), (14806), (function-axioms) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #433.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14807)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14807) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14808)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14808) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14809)  op(e1, e0) = e1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14776), (14777), (14809), (function-axioms) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14810)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (157), (159), (13169), (13173),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14591), (14605), (14710), (14810),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #384.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14811)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (13170), (14585), (14685), (14811) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1897.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14812)  all_56_15 = e1 & op(e0, e0) = e1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14812) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14813)  op(e0, e0) = e1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14611), (14813), (function-axioms) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14814)  all_56_5 = e2 & op(e2, e1) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14814) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14815)  op(e2, e1) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (14672), (14815),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14816)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (13856), (14686), (14816),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #685.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14817)  all_54_13 = e1 | all_54_13 = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (14587), (14604), (14817) are inconsistent
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1652.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | |   (14818)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14818) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |   (14819)  all_56_6 = e2 & op(e1, e3) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14819) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |   (14820)  all_56_6 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14665), (14820) are inconsistent by
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1779.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |   (14821)  all_56_12 = e2 & op(e0, e3) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14821) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |   (14822)  all_56_12 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14636), (14822) are inconsistent by
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1354.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | |   (14823)  all_56_12 = e1 & op(e0, e3) = e1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14636), (14823) are inconsistent by
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1598.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | |   (14824)  all_56_13 = e3 & op(e0, e2) = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | ALPHA: (14824) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | |   (14825)  all_56_13 = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | |   (14826)  all_54_13 = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14622), (14628), (14826) are inconsistent by
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | |            sub-proof #388.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | |   (14827)   ~ (all_54_13 = e3)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | |   (14828)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14828) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | |   (14829)  all_54_13 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14628), (14829) imply:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | |   (14830)  all_24_0 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | SIMP: (14830) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | |   (14831)  all_24_0 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14629), (14831) imply:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | |   (14832)   ~ (all_52_4 = e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14631), (14831) imply:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | |   (14833)   ~ (all_52_11 = e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14622), (14831) imply:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | |   (14834)   ~ (e3 = e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | |   (14835)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14835) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |   (14836)  all_56_4 = e2 & op(e3, e1) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14836) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |   (14837)  all_56_4 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (14838)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (203), (272), (13170), (14585),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | |            (14591), (14832), (14838), (function-axioms) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #332.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (14839)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14839) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14840)  all_56_7 = e2 & op(e1, e2) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (13856),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            (14615), (14620), (14837), (14840),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            #331.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14841)  all_56_13 = e2 & op(e0, e2) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14825), (14841) are inconsistent by
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1905.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |   (14842)  all_56_5 = e2 & op(e2, e1) = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14842) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |   (14843)  all_56_5 = e2
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14615), (14843) are inconsistent by
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1860.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | |   (14844)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (13856), (14833), (14844),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | |            #685.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | |   (14845)  all_54_13 = e1 | all_54_13 = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (14587), (14604), (14845) are inconsistent
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1652.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | |   (14846)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 191.13/29.97  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | BETA: splitting (14846) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | |   (14847)  all_56_14 = e3 & op(e0, e1) = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | ALPHA: (14847) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | |   (14848)  all_56_14 = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (165), (218), (219), (13856),
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | |            (14588), (14615), (14848), (function-axioms) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #378.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | |   (14849)  all_56_15 = e3 & op(e0, e0) = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | ALPHA: (14849) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | |   (14850)  op(e0, e0) = e3
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14611), (14850), (function-axioms) are
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | |   (14851)   ~ (all_24_1 = e0) & op(e2, e1) = all_24_1 &
% 191.13/29.97  | | | | | | | | | | | | | | | | | |            $i(all_24_1)
% 191.13/29.97  | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | ALPHA: (14851) implies:
% 191.13/29.97  | | | | | | | | | | | | | | | | | |   (14852)   ~ (all_24_1 = e0)
% 191.13/29.97  | | | | | | | | | | | | | | | | | |   (14853)  op(e2, e1) = all_24_1
% 191.13/29.97  | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_24_1,
% 191.13/29.97  | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (14616), (14853) gives:
% 191.13/29.97  | | | | | | | | | | | | | | | | | |   (14854)  all_24_1 = e0
% 191.13/29.97  | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | REDUCE: (14852), (14854) imply:
% 191.13/29.97  | | | | | | | | | | | | | | | | | |   (14855)  $false
% 191.13/29.97  | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | | CLOSE: (14855) is inconsistent.
% 191.13/29.97  | | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | | End of split
% 191.13/29.97  | | | | | | | | | | | | | | | | | 
% 191.13/29.97  | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.97  | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | |   (14856)  all_56_13 = e0 & op(e0, e2) = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | ALPHA: (14856) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | |   (14857)  op(e0, e2) = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14604), (14857), (function-axioms) are
% 191.13/29.98  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 191.13/29.98  | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | |   (14858)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 191.13/29.98  | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.13/29.98  | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (13856), (14605), (14858),
% 191.13/29.98  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.98  | | | | | | | | | | | | | |            #1238.
% 191.13/29.98  | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | |   (14859)  all_28_2 = e2
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | COMBINE_EQS: (330), (14859) imply:
% 191.13/29.98  | | | | | | | | | |   (14860)  all_14_2 = e2
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | SIMP: (14860) implies:
% 191.13/29.98  | | | | | | | | | |   (14861)  all_14_2 = e2
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | REDUCE: (351), (14861) imply:
% 191.13/29.98  | | | | | | | | | |   (14862)   ~ (all_52_3 = e2)
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | REDUCE: (370), (14861) imply:
% 191.13/29.98  | | | | | | | | | |   (14863)   ~ (all_52_12 = e2)
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | REDUCE: (371), (14861) imply:
% 191.13/29.98  | | | | | | | | | |   (14864)   ~ (all_52_13 = e2)
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | REDUCE: (372), (14861) imply:
% 191.13/29.98  | | | | | | | | | |   (14865)   ~ (all_52_14 = e2)
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | REDUCE: (13180), (14861) imply:
% 191.13/29.98  | | | | | | | | | |   (14866)   ~ (e3 = e2)
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | REDUCE: (51), (14861) imply:
% 191.13/29.98  | | | | | | | | | |   (14867)  op(e0, e0) = e2
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | BETA: splitting (202) gives:
% 191.13/29.98  | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | |   (14868)  all_54_2 = e3
% 191.13/29.98  | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | REF_CLOSE: (271), (13852), (14868) are inconsistent by
% 191.13/29.98  | | | | | | | | | | |            sub-proof #1762.
% 191.13/29.98  | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | |   (14869)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 191.13/29.98  | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | BETA: splitting (203) gives:
% 191.13/29.98  | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | |   (14870)  all_54_1 = e3
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | COMBINE_EQS: (272), (14870) imply:
% 191.13/29.98  | | | | | | | | | | | |   (14871)  all_52_4 = e3
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | SIMP: (14871) implies:
% 191.13/29.98  | | | | | | | | | | | |   (14872)  all_52_4 = e3
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | REDUCE: (135), (14872) imply:
% 191.13/29.98  | | | | | | | | | | | |   (14873)   ~ (all_52_7 = e3)
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | SIMP: (14873) implies:
% 191.13/29.98  | | | | | | | | | | | |   (14874)   ~ (all_52_7 = e3)
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | REDUCE: (133), (14872) imply:
% 191.13/29.98  | | | | | | | | | | | |   (14875)   ~ (all_52_12 = e3)
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | SIMP: (14875) implies:
% 191.13/29.98  | | | | | | | | | | | |   (14876)   ~ (all_52_12 = e3)
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | REDUCE: (170), (14872) imply:
% 191.13/29.98  | | | | | | | | | | | |   (14877)  op(e3, e2) = e3
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | BETA: splitting (209) gives:
% 191.13/29.98  | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | |   (14878)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 191.13/29.98  | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.13/29.98  | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | BETA: splitting (14878) gives:
% 191.13/29.98  | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | |   (14879)  all_56_12 = e3 & op(e0, e3) = e3
% 191.13/29.98  | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | ALPHA: (14879) implies:
% 191.13/29.98  | | | | | | | | | | | | | |   (14880)  all_56_12 = e3
% 191.13/29.98  | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 191.13/29.98  | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | |   (14881)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 191.13/29.98  | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 191.13/29.98  | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | BETA: splitting (14881) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | |   (14882)  all_56_0 = e3 & op(e3, e3) = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | ALPHA: (14882) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | |   (14883)  op(e3, e3) = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 191.13/29.98  | | | | | | | | | | | | | | | |            (233), (13168), (14880), (14883),
% 191.13/29.98  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.98  | | | | | | | | | | | | | | | |            #1332.
% 191.13/29.98  | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | |   (14884)  all_56_1 = e3 & op(e3, e2) = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | ALPHA: (14884) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | |   (14885)  all_56_1 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | |   (14886)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 191.13/29.98  | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 191.13/29.98  | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (158), (160),
% 191.13/29.98  | | | | | | | | | | | | | | | | |            (163), (168), (212), (221), (223), (235), (13173),
% 191.13/29.98  | | | | | | | | | | | | | | | | |            (13180), (13850), (13855), (14587), (14591),
% 191.13/29.98  | | | | | | | | | | | | | | | | |            (14876), (14886), (function-axioms) are
% 191.13/29.98  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #329.
% 191.13/29.98  | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | |   (14887)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 191.13/29.98  | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.13/29.98  | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | BETA: splitting (14887) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | |   (14888)  all_56_14 = e1 & op(e0, e1) = e1
% 191.13/29.98  | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | ALPHA: (14888) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | |   (14889)  all_56_14 = e1
% 191.13/29.98  | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | |   (14890)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | BETA: splitting (14890) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | |   (14891)  all_56_4 = e0 & op(e3, e1) = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13171), (14891), (function-axioms) are
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | |   (14892)  all_56_5 = e0 & op(e2, e1) = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | ALPHA: (14892) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | |   (14893)  all_56_5 = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |   (14894)  all_56_15 = e0 & op(e0, e0) = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14894) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |   (14895)  op(e0, e0) = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14867), (14895), (function-axioms) are
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |   (14896)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14896) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |   (14897)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14897) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | |   (14898)  all_56_12 = e0 & op(e0, e3) = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14898) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | |   (14899)  op(e0, e3) = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (14899), (function-axioms) are
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | |   (14900)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14900) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | |   (14901)  all_56_13 = e0 & op(e0, e2) = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14901) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | |   (14902)  all_56_13 = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | |   (14903)  all_54_3 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (14876), (14903) are inconsistent by
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | |   (14904)   ~ (all_54_3 = e3)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | |   (14905)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14905) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (14906)  all_54_3 = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (14863), (14906) are inconsistent by
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1689.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (14907)   ~ (all_54_3 = e2)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (14908)  all_54_3 = e1 | all_54_3 = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14909)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14909) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14910)  all_56_6 = e1 & op(e1, e3) = e1
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14910) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14911)  all_56_6 = e1
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14908) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14912)  all_54_3 = e1
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (14912) imply:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14913)  all_52_12 = e1
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14913) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14914)  all_52_12 = e1
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (14914) imply:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14915)   ~ (all_52_8 = e1)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (14914) imply:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14916)   ~ (all_52_14 = e1)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14916) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14917)   ~ (all_52_14 = e1)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14863), (14914) imply:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14918)   ~ (e2 = e1)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14919)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14919) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14920)  all_56_0 = e2 & op(e3, e3) = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14920) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14921)  op(e3, e3) = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (14921), (function-axioms) are
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14922)  all_56_2 = e2 & op(e2, e3) = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14922) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14923)  op(e2, e3) = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14924)  all_54_11 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (13855), (14924) are inconsistent by
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1277.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14925)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14925) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14926)  all_54_11 = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (14865), (14926) are inconsistent by
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14927)  all_54_11 = e1 | all_54_11 = e0
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14928)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14928) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14929)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14929) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14930)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (13173), (14591), (14930),
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #364.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14931)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (76), (373), (13173), (13849), (14923),
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14931), (function-axioms) are inconsistent by
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #340.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14932)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14932) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14933)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (14876), (14933),
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #397.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14934)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14934) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14935)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14935) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14936)  op(e2, e1) = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (14923), (14936),
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14937)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14937) implies:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14938)  op(e1, e2) = e1
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (14586), (14938), (function-axioms) are
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14939)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14939) gives:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14940)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14940) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14941)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14941) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14942)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14942) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14943)  op(e2, e0) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14864), (14943), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14944)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14944) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14945)  op(e2, e0) = e0
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (164), (250), (14917), (14927), (14945),
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #328.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14946)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (14867),
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14889), (14893), (14946), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #327.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14947)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14947) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14948)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14948) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14949)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14949) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14950)  op(e3, e3) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (232),
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (14877), (14885), (14915), (14950),
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1871.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14951)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14951) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14952)  op(e2, e2) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14591), (14952), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14953)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14953) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14954)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14954) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14955)  op(e1, e1) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13856), (14955), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14956)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14956) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14957)  op(e0, e0) = e0
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14878) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (14880), (14889), (14902),
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14957), (function-axioms) are inconsistent by
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #326.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14958)  all_56_13 = e3 & op(e0, e2) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14958) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14959)  all_56_13 = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14902), (14959) are inconsistent by
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1360.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14960)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14960) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14961)  all_56_14 = e3 & op(e0, e1) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14961) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14962)  all_56_14 = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14889), (14962) are inconsistent by
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1812.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14963)  all_56_15 = e3 & op(e0, e0) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14963) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14964)  op(e0, e0) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14957), (14964), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14965)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14965) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14966)  all_56_6 = e2 & op(e1, e3) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14966) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14967)  all_56_6 = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14911), (14967) are inconsistent by
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1779.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14968)  all_56_12 = e2 & op(e0, e3) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14862), (14968), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14969)  all_54_3 = e0
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (13172), (14969) are inconsistent by
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1324.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14970)  all_56_7 = e1 & op(e1, e2) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14970) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14971)  op(e1, e2) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (14586), (14971), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14972)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14972) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14973)  all_56_8 = e1 & op(e1, e1) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14973) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14974)  op(e1, e1) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13856), (14974), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14975)  all_56_11 = e1 & op(e1, e0) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14975) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14976)  op(e1, e0) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (13172), (14908), (14976),
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | |   (14977)  all_56_14 = e0 & op(e0, e1) = e0
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14889), (14977) are inconsistent by
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1207.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | |   (14978)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 191.13/29.99  | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (13856), (14889), (14978),
% 191.13/29.99  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.99  | | | | | | | | | | | | | | | | | | |            #1198.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | |   (14979)  all_56_15 = e1 & op(e0, e0) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | ALPHA: (14979) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | |   (14980)  op(e0, e0) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14867), (14980), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | |   (14981)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 191.13/29.99  | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | BETA: splitting (14981) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | |   (14982)  all_56_4 = e3 & op(e3, e1) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | ALPHA: (14982) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | |   (14983)  op(e3, e1) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (170), (14877), (14983),
% 191.13/29.99  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.99  | | | | | | | | | | | | | | | |            #497.
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | |   (14984)  all_56_9 = e3 & op(e3, e0) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | ALPHA: (14984) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | |   (14985)  op(e3, e0) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14876), (14985), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | |   (14986)  all_56_13 = e3 & op(e0, e2) = e3
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | ALPHA: (14986) implies:
% 191.13/29.99  | | | | | | | | | | | | | |   (14987)  op(e0, e2) = e3
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | REF_CLOSE: (158), (14874), (14987), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | |   (14988)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 191.13/29.99  | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | BETA: splitting (14988) gives:
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | |   (14989)  all_56_14 = e3 & op(e0, e1) = e3
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | ALPHA: (14989) implies:
% 191.13/29.99  | | | | | | | | | | | | | |   (14990)  all_56_14 = e3
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | |   (14991)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 191.13/29.99  | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (158), (160),
% 191.13/29.99  | | | | | | | | | | | | | | |            (163), (168), (212), (221), (223), (235), (13173),
% 191.13/29.99  | | | | | | | | | | | | | | |            (13180), (13850), (13855), (14587), (14591),
% 191.13/29.99  | | | | | | | | | | | | | | |            (14876), (14991), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | |            inconsistent by sub-proof #329.
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | |   (14992)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 191.13/29.99  | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | BETA: splitting (14992) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | |   (14993)  all_56_14 = e1 & op(e0, e1) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14990), (14993) are inconsistent by
% 191.13/29.99  | | | | | | | | | | | | | | | |            sub-proof #1748.
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | |   (14994)  all_56_15 = e1 & op(e0, e0) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | ALPHA: (14994) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | |   (14995)  op(e0, e0) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14867), (14995), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | |   (14996)  all_56_15 = e3 & op(e0, e0) = e3
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | ALPHA: (14996) implies:
% 191.13/29.99  | | | | | | | | | | | | | |   (14997)  op(e0, e0) = e3
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | REF_CLOSE: (9), (14867), (14997), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | End of split
% 191.13/29.99  | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | |   (14998)   ~ (all_54_1 = e3)
% 191.13/29.99  | | | | | | | | | | | |   (14999)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 191.13/29.99  | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | REDUCE: (272), (14998) imply:
% 191.13/29.99  | | | | | | | | | | | |   (15000)   ~ (all_52_4 = e3)
% 191.13/29.99  | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | BETA: splitting (14999) gives:
% 191.13/29.99  | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | |   (15001)  all_54_1 = e2
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | COMBINE_EQS: (272), (15001) imply:
% 191.13/29.99  | | | | | | | | | | | | |   (15002)  all_52_4 = e2
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | SIMP: (15002) implies:
% 191.13/29.99  | | | | | | | | | | | | |   (15003)  all_52_4 = e2
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | REDUCE: (136), (15003) imply:
% 191.13/29.99  | | | | | | | | | | | | |   (15004)   ~ (all_52_6 = e2)
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | SIMP: (15004) implies:
% 191.13/29.99  | | | | | | | | | | | | |   (15005)   ~ (all_52_6 = e2)
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | REDUCE: (135), (15003) imply:
% 191.13/29.99  | | | | | | | | | | | | |   (15006)   ~ (all_52_7 = e2)
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | SIMP: (15006) implies:
% 191.13/29.99  | | | | | | | | | | | | |   (15007)   ~ (all_52_7 = e2)
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | REDUCE: (134), (15003) imply:
% 191.13/29.99  | | | | | | | | | | | | |   (15008)   ~ (all_52_8 = e2)
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | SIMP: (15008) implies:
% 191.13/29.99  | | | | | | | | | | | | |   (15009)   ~ (all_52_8 = e2)
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | REDUCE: (133), (15003) imply:
% 191.13/29.99  | | | | | | | | | | | | |   (15010)   ~ (all_52_12 = e2)
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | REDUCE: (170), (15003) imply:
% 191.13/29.99  | | | | | | | | | | | | |   (15011)  op(e3, e2) = e2
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | BETA: splitting (195) gives:
% 191.13/29.99  | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | |   (15012)  all_54_9 = e3
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | REF_CLOSE: (258), (13851), (15012) are inconsistent by
% 191.13/29.99  | | | | | | | | | | | | | |            sub-proof #715.
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | |   (15013)   ~ (all_54_9 = e3)
% 191.13/29.99  | | | | | | | | | | | | | |   (15014)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 191.13/29.99  | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | |   (15015)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 191.13/29.99  | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (14591), (15011), (15015),
% 191.13/29.99  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/29.99  | | | | | | | | | | | | | | |            #325.
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | |   (15016)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 191.13/29.99  | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | BETA: splitting (15016) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | |   (15017)  all_56_7 = e3 & op(e1, e2) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | ALPHA: (15017) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | |   (15018)  op(e1, e2) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13851), (15018), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | |   (15019)  all_56_13 = e3 & op(e0, e2) = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | ALPHA: (15019) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | |   (15020)  all_56_13 = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | |   (15021)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 191.13/29.99  | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 191.13/29.99  | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (164), (168), (271), (13171), (14589),
% 191.13/29.99  | | | | | | | | | | | | | | | | |            (14869), (15009), (15021), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #501.
% 191.13/29.99  | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | |   (15022)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 191.13/29.99  | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.13/29.99  | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | BETA: splitting (15022) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | |   (15023)  all_56_11 = e1 & op(e1, e0) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | ALPHA: (15023) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | |   (15024)  op(e1, e0) = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | |   (15025)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | BETA: splitting (15025) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | |   (15026)  all_56_0 = e2 & op(e3, e3) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | ALPHA: (15026) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | |   (15027)  op(e3, e3) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (15027), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | |   (15028)  all_56_1 = e2 & op(e3, e2) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | ALPHA: (15028) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | |   (15029)  all_56_1 = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | |   (15030)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15030) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | |   (15031)  all_56_6 = e2 & op(e1, e3) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15031) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | |   (15032)  op(e1, e3) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | |   (15033)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15033) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | |   (15034)  all_56_4 = e2 & op(e3, e1) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15009), (15034), (function-axioms) are
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | |   (15035)  all_56_5 = e2 & op(e2, e1) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15035) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | |   (15036)  op(e2, e1) = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15014) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (15037)  all_54_9 = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (15005), (15037) are inconsistent by
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1142.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (15038)   ~ (all_54_9 = e2)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (15039)  all_54_9 = e1 | all_54_9 = e0
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15039) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15040)  all_54_9 = e1
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14586), (15040) are inconsistent by
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1804.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15041)  all_54_9 = e0
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (15041) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15042)  all_52_6 = e0
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15042) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15043)  all_52_6 = e0
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (15043) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15044)   ~ (all_52_7 = e0)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15044) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15045)   ~ (all_52_7 = e0)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (15043) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15046)   ~ (all_52_14 = e0)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15046) implies:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15047)   ~ (all_52_14 = e0)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15005), (15043) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15048)   ~ (e2 = e0)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14586), (15043) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15049)   ~ (e1 = e0)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15050)  all_54_13 = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (15050) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15051)  all_52_7 = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (15051) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15052)   ~ (all_52_3 = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15053)  all_54_12 = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (15053) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15054)  all_52_3 = e3
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15052), (15054) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15055)  $false
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15055) is inconsistent.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15056)   ~ (all_54_12 = e3)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15057)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15057) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15058)  all_54_12 = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (15058) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15059)  all_52_3 = e2
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14862), (15059) imply:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15060)  $false
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15060) is inconsistent.
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15061)   ~ (all_54_12 = e2)
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15062)  all_54_12 = e1 | all_54_12 = e0
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/29.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15063)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15063) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15064)  all_56_0 = e3 & op(e3, e3) = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15064) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15065)  op(e3, e3) = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13173), (15065), (function-axioms) are
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15066)  all_56_2 = e3 & op(e2, e3) = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15066) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15067)  all_56_2 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15062) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15068)  all_54_12 = e1
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (15068) imply:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15069)  all_52_3 = e1
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15069) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15070)  all_52_3 = e1
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (15070) imply:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15071)   ~ (all_52_2 = e1)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (15070) imply:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15072)   ~ (all_52_11 = e1)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15072) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15073)   ~ (all_52_11 = e1)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14862), (15070) imply:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15074)   ~ (e2 = e1)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15075)  all_56_15 = e0 & op(e0, e0) = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15075) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15076)  op(e0, e0) = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14867), (15076), (function-axioms) are
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15077)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15077) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15078)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15078) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15079)  all_56_12 = e0 & op(e0, e3) = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15079) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15080)  op(e0, e3) = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (15080), (function-axioms) are
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15081)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15081) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15082)  all_56_13 = e0 & op(e0, e2) = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15082) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15083)  op(e0, e2) = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (15045), (15083), (function-axioms) are
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15084)  all_56_14 = e0 & op(e0, e1) = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15084) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15085)  op(e0, e1) = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15086)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15086) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15087)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15087) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15088)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (14591), (15011), (15088),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1143.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15089)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (13173), (15071), (15089),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #324.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15090)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15090) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15091)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (13169), (13856), (15024), (15091),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #347.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15092)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (14586), (15005), (15092),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #425.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15093)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15093) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15094)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15094) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15095)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15095) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15096)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15096) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15097)  op(e2, e0) = e2
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (15036), (15097),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15098)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15098) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15099)  op(e0, e2) = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (157), (158), (15085), (15099),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #493.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15100)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (15047), (15073), (15100),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1883.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15101)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15101) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15102)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15102) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15103)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15103) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15104)  op(e3, e3) = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (15067), (15071), (15104),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1216.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15105)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15105) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15106)  op(e2, e2) = e2
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (158), (225), (226), (14587),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15020), (15029), (15106), (function-axioms) are
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1155.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15107)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (13856), (15024), (15107),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1254.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15108)  all_54_12 = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (13169), (15108) are inconsistent by
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1098.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15109)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15109) gives:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15110)  all_56_6 = e3 & op(e1, e3) = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15110) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15111)  op(e1, e3) = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15032), (15111), (function-axioms) are
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1371.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15112)  all_56_12 = e3 & op(e0, e3) = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15112) implies:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15113)  all_56_12 = e3
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (14587), (15020), (15113),
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #558.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15114)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (14587), (15007), (15045), (15114) are
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1651.
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | |   (15115)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | |            (13856), (14867), (15020), (15115),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | |            #1137.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |   (15116)  all_56_7 = e2 & op(e1, e2) = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15116) implies:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |   (15117)  op(e1, e2) = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (15005), (15117), (function-axioms) are
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #429.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |   (15118)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (13856), (14865), (15118),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |            #684.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |   (15119)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | BETA: splitting (15119) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |   (15120)  all_56_4 = e2 & op(e3, e1) = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15009), (15120), (function-axioms) are
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |   (15121)  all_56_9 = e2 & op(e3, e0) = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14863), (15121), (function-axioms) are
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15122)  all_56_15 = e1 & op(e0, e0) = e1
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | ALPHA: (15122) implies:
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15123)  op(e0, e0) = e1
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14867), (15123), (function-axioms) are
% 191.13/30.01  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | |   (15124)  all_54_1 = e1 | all_54_1 = e0
% 191.13/30.01  | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | REF_CLOSE: (272), (13170), (14585), (15124) are inconsistent
% 191.13/30.01  | | | | | | | | | | | | |            by sub-proof #1898.
% 191.13/30.01  | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | 
% 191.13/30.01  | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | 
% 191.13/30.01  | | | | | | | End of split
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | Case 2:
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | |   (15125)  all_18_2 = e3
% 191.13/30.01  | | | | | | |   (15126)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 191.13/30.01  | | | | | | |              op(e0, e3) = all_18_1 & $i(all_18_0) & $i(all_18_1))
% 191.13/30.01  | | | | | | |            | ( ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 191.13/30.01  | | | | | | |              $i(all_18_1))
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | COMBINE_EQS: (301), (15125) imply:
% 191.13/30.01  | | | | | | |   (15127)  all_14_2 = e3
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | SIMP: (15127) implies:
% 191.13/30.01  | | | | | | |   (15128)  all_14_2 = e3
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | COMBINE_EQS: (299), (15128) imply:
% 191.13/30.01  | | | | | | |   (15129)  all_48_2 = e3
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | REDUCE: (351), (15128) imply:
% 191.13/30.01  | | | | | | |   (15130)   ~ (all_52_3 = e3)
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | REDUCE: (362), (15128) imply:
% 191.13/30.01  | | | | | | |   (15131)   ~ (all_52_7 = e3)
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | REDUCE: (370), (15128) imply:
% 191.13/30.01  | | | | | | |   (15132)   ~ (all_52_12 = e3)
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | REDUCE: (371), (15128) imply:
% 191.13/30.01  | | | | | | |   (15133)   ~ (all_52_13 = e3)
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | REDUCE: (372), (15128) imply:
% 191.13/30.01  | | | | | | |   (15134)   ~ (all_52_14 = e3)
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | REDUCE: (51), (15128) imply:
% 191.13/30.01  | | | | | | |   (15135)  op(e0, e0) = e3
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | BETA: splitting (209) gives:
% 191.13/30.01  | | | | | | | 
% 191.13/30.01  | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | 
% 191.13/30.01  | | | | | | | |   (15136)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3
% 191.13/30.01  | | | | | | | |              & op(e0, e2) = e3)
% 191.13/30.01  | | | | | | | | 
% 191.13/30.01  | | | | | | | | REF_CLOSE: (158), (159), (15130), (15131), (15136),
% 191.13/30.01  | | | | | | | |            (function-axioms) are inconsistent by sub-proof #322.
% 191.13/30.01  | | | | | | | | 
% 191.13/30.01  | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | 
% 191.13/30.01  | | | | | | | |   (15137)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3
% 191.13/30.01  | | | | | | | |              & op(e0, e0) = e3)
% 191.13/30.01  | | | | | | | | 
% 191.13/30.01  | | | | | | | | BETA: splitting (15137) gives:
% 191.13/30.01  | | | | | | | | 
% 191.13/30.01  | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | 
% 191.13/30.01  | | | | | | | | |   (15138)  all_56_14 = e3 & op(e0, e1) = e3
% 191.13/30.01  | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | ALPHA: (15138) implies:
% 191.13/30.01  | | | | | | | | |   (15139)  all_56_14 = e3
% 191.13/30.01  | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (207),
% 191.13/30.01  | | | | | | | | |            (208), (13169), (15135), (15139), (function-axioms)
% 191.13/30.01  | | | | | | | | |            are inconsistent by sub-proof #319.
% 191.13/30.01  | | | | | | | | | 
% 191.13/30.01  | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | 
% 191.13/30.01  | | | | | | | | |   (15140)  all_56_15 = e3 & op(e0, e0) = e3
% 191.13/30.01  | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | ALPHA: (15140) implies:
% 191.13/30.01  | | | | | | | | |   (15141)  all_56_15 = e3
% 191.13/30.01  | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | BETA: splitting (61) gives:
% 191.13/30.01  | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | |   (15142)   ~ (all_20_2 = e3)
% 191.13/30.01  | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | REDUCE: (325), (15142) imply:
% 191.13/30.01  | | | | | | | | | |   (15143)   ~ (all_10_2 = e3)
% 191.13/30.01  | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | BETA: splitting (64) gives:
% 191.13/30.01  | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | |   (15144)   ~ (all_22_2 = e0)
% 191.13/30.01  | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | REDUCE: (251), (15144) imply:
% 191.13/30.01  | | | | | | | | | | |   (15145)   ~ (all_10_2 = e0)
% 191.13/30.01  | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | BETA: splitting (194) gives:
% 191.13/30.01  | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | |   (15146)  all_54_10 = e3
% 191.13/30.01  | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | REF_CLOSE: (336), (15143), (15146) are inconsistent by
% 191.13/30.01  | | | | | | | | | | | |            sub-proof #983.
% 191.13/30.01  | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | |   (15147)   ~ (all_54_10 = e3)
% 191.13/30.01  | | | | | | | | | | | |   (15148)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 191.13/30.01  | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | BETA: splitting (15148) gives:
% 191.13/30.01  | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | |   (15149)  all_54_10 = e2
% 191.13/30.01  | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | REF_CLOSE: (336), (13177), (15149) are inconsistent by
% 191.13/30.01  | | | | | | | | | | | | |            sub-proof #982.
% 191.13/30.01  | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | |   (15150)   ~ (all_54_10 = e2)
% 191.13/30.01  | | | | | | | | | | | | |   (15151)  all_54_10 = e1 | all_54_10 = e0
% 191.13/30.01  | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | BETA: splitting (15151) gives:
% 191.13/30.01  | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | |   (15152)  all_54_10 = e1
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | COMBINE_EQS: (336), (15152) imply:
% 191.13/30.01  | | | | | | | | | | | | | |   (15153)  all_10_2 = e1
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | SIMP: (15153) implies:
% 191.13/30.01  | | | | | | | | | | | | | |   (15154)  all_10_2 = e1
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | REDUCE: (350), (15154) imply:
% 191.13/30.01  | | | | | | | | | | | | | |   (15155)   ~ (all_52_2 = e1)
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | REDUCE: (361), (15154) imply:
% 191.13/30.01  | | | | | | | | | | | | | |   (15156)   ~ (all_52_6 = e1)
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | REDUCE: (363), (15154) imply:
% 191.13/30.01  | | | | | | | | | | | | | |   (15157)   ~ (all_52_8 = e1)
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | REDUCE: (366), (15154) imply:
% 191.13/30.01  | | | | | | | | | | | | | |   (15158)   ~ (all_52_11 = e1)
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | REDUCE: (368), (15154) imply:
% 191.13/30.01  | | | | | | | | | | | | | |   (15159)   ~ (all_52_14 = e1)
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | REDUCE: (15143), (15154) imply:
% 191.13/30.01  | | | | | | | | | | | | | |   (15160)   ~ (e3 = e1)
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | REDUCE: (13177), (15154) imply:
% 191.13/30.01  | | | | | | | | | | | | | |   (15161)   ~ (e2 = e1)
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | REDUCE: (45), (15154) imply:
% 191.13/30.01  | | | | | | | | | | | | | |   (15162)  op(e1, e1) = e1
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 191.13/30.01  | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | |   (15163)   ~ (all_24_2 = e1)
% 191.13/30.01  | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | REDUCE: (318), (15163) imply:
% 191.13/30.01  | | | | | | | | | | | | | | |   (15164)   ~ (all_4_2 = e1)
% 191.13/30.01  | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | |   (15165)   ~ (all_32_2 = e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | REDUCE: (314), (15165) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | |   (15166)   ~ (all_4_2 = e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | |   (15167)  all_54_5 = e3
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15167) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | | |   (15168)  all_4_2 = e3
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | REDUCE: (373), (15168) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | | |   (15169)  $false
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | CLOSE: (15169) is inconsistent.
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | |   (15170)   ~ (all_54_5 = e3)
% 191.13/30.01  | | | | | | | | | | | | | | | | |   (15171)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | BETA: splitting (15171) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15172)  all_54_5 = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15172) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15173)  all_4_2 = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | REDUCE: (349), (15173) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15174)   ~ (all_52_1 = e2)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | REDUCE: (360), (15173) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15175)   ~ (all_52_13 = e2)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | REDUCE: (373), (15173) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15176)   ~ (e3 = e2)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | REDUCE: (36), (15173) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15177)  op(e2, e2) = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |   (15178)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (36), (162), (163), (167), (373),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            (15135), (15155), (15156), (15162), (15174),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            (15177), (15178), (function-axioms) are
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1080.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |   (15179)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | BETA: splitting (15179) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |   (15180)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15180) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |   (15181)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (15135), (15181),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |            #318.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |   (15182)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (15132), (15135), (15182),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |            #1189.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |   (15183)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (159), (160), (164), (373),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |            (13169), (13173), (15159), (15162), (15164),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |            (15175), (15183), (function-axioms) are
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #317.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15184)  all_54_5 = e1 | all_54_5 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15164), (15166), (15184) are inconsistent
% 191.13/30.01  | | | | | | | | | | | | | | | | | |            by sub-proof #1941.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | |   (15185)  all_32_2 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (15185) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | |   (15186)  all_4_2 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | REDUCE: (356), (15186) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | |   (15187)   ~ (all_52_7 = e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | REDUCE: (373), (15186) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | |   (15188)   ~ (e3 = e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | REDUCE: (15164), (15186) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | |   (15189)   ~ (e1 = e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | REDUCE: (36), (15186) imply:
% 191.13/30.01  | | | | | | | | | | | | | | | |   (15190)  op(e2, e2) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | |   (15191)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (226),
% 191.13/30.01  | | | | | | | | | | | | | | | | |            (227), (228), (373), (13168), (15190), (15191),
% 191.13/30.01  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.01  | | | | | | | | | | | | | | | | |            #316.
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | |   (15192)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 191.13/30.01  | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | BETA: splitting (15192) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15193)  all_56_8 = e0 & op(e1, e1) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | ALPHA: (15193) implies:
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15194)  op(e1, e1) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15162), (15194), (function-axioms) are
% 191.13/30.01  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15195)  all_56_11 = e0 & op(e1, e0) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | ALPHA: (15195) implies:
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15196)  all_56_11 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | |   (15197)  op(e1, e0) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |   (15198)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | BETA: splitting (15198) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |   (15199)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15199) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |   (15200)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15200) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |   (15201)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15201) implies:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |   (15202)  op(e1, e1) = e3
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15162), (15202), (function-axioms) are
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |   (15203)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15203) implies:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |   (15204)   ~ (all_57_2 = e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |   (15205)  op(e0, e3) = all_57_2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |   (15206)  op(e2, e2) = all_57_12
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | |   (15207)  op(e2, e3) = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | |   (15208)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15208) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15209)  all_56_4 = e0 & op(e3, e1) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13171), (15209), (function-axioms) are
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15210)  all_56_5 = e0 & op(e2, e1) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15210) implies:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15211)  all_56_5 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (15212)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (15207), (15212),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | |            #512.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (15213)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (164), (15133), (15211), (15213),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | |            #315.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | |   (15214)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15214) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15215)  all_56_8 = e0 & op(e1, e1) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15215) implies:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15216)  op(e1, e1) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15162), (15216), (function-axioms) are
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15217)  all_56_14 = e0 & op(e0, e1) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15217) implies:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15218)  op(e0, e1) = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (15218) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15219)  all_52_11 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e1, simplifying with (160), (15197) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15220)  all_52_14 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12, e2, e2, simplifying with (15190),
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |              (15206) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15221)  all_57_12 = e0
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (15207) gives:
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (15222)  all_52_1 = e2
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.01  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (15222) imply:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | |   (15223)   ~ (all_52_2 = e2)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15223) implies:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | |   (15224)   ~ (all_52_2 = e2)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (15222) imply:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | |   (15225)   ~ (all_52_13 = e2)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15225) implies:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | |   (15226)   ~ (all_52_13 = e2)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (15220) imply:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | |   (15227)   ~ (all_52_13 = e0)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (15228)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15228) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15229)  all_56_6 = e2 & op(e1, e3) = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15224), (15229), (function-axioms) are
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15230)  all_56_7 = e2 & op(e1, e2) = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15230) implies:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15231)  op(e1, e2) = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15232)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15232) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15233)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15233) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15234)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (373), (13173), (15234),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #352.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15235)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (13173), (15155), (15235),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #324.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15236)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15236) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15237)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (15132), (15204), (15205), (15237),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #314.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15238)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15190), (15231), (15238),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #693.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15239)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15239) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15240)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15240) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15241)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15226), (15227), (15241),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1172.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15242)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (15135), (15158), (15242),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1108.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15243)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15243) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15244)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15244) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15245)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15245) implies:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15246)  op(e3, e3) = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13173), (15246), (function-axioms) are
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15247)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15247) implies:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15248)  op(e2, e2) = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15190), (15248), (function-axioms) are
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15249)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15249) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15250)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15250) implies:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15251)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15252)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (15135), (15218), (15251),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15252), (function-axioms) are inconsistent by
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #313.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15253)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15253) implies:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15254)  op(e0, e0) = e0
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15135), (15254), (function-axioms) are
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (15255)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (15162), (15196), (15255),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | |            #1117.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |   (15256)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (15155), (15256),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |            #1973.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |   (15257)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15257) gives:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |   (15258)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15135), (15162), (15258),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |            #1081.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |   (15259)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (15156), (15190), (15259),
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | |            #1895.
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.02  | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.02  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |   (15260)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | BETA: splitting (15260) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |   (15261)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15261) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15262)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (15135), (15262),
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |            #318.
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15263)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (15132), (15135), (15263),
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |            #1189.
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |   (15264)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15264) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15265)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15190), (15197), (15265), (function-axioms)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #311.
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15266)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15266) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |   (15267)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15267) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |   (15268)  op(e1, e1) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15162), (15268), (function-axioms) are
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |   (15269)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15269) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |   (15270)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15270) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |   (15271)  op(e1, e0) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15197), (15271), (function-axioms) are
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |   (15272)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15272) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |   (15273)  op(e0, e0) = all_57_15
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |   (15274)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (158), (373), (13173), (15135),
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (15187), (15190), (15273), (15274),
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |            #310.
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.03  | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | End of split
% 191.13/30.03  | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | End of split
% 191.13/30.03  | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | End of split
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | |   (15275)  all_24_2 = e1
% 191.13/30.03  | | | | | | | | | | | | | | |   (15276)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0
% 191.13/30.03  | | | | | | | | | | | | | | |              & op(e2, e1) = all_24_1 & $i(all_24_0) &
% 191.13/30.03  | | | | | | | | | | | | | | |              $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1)
% 191.13/30.03  | | | | | | | | | | | | | | |              = all_24_1 & $i(all_24_1))
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | COMBINE_EQS: (318), (15275) imply:
% 191.13/30.03  | | | | | | | | | | | | | | |   (15277)  all_4_2 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | SIMP: (15277) implies:
% 191.13/30.03  | | | | | | | | | | | | | | |   (15278)  all_4_2 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | COMBINE_EQS: (292), (15278) imply:
% 191.13/30.03  | | | | | | | | | | | | | | |   (15279)  all_44_2 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | REDUCE: (352), (15278) imply:
% 191.13/30.03  | | | | | | | | | | | | | | |   (15280)   ~ (all_52_4 = e1)
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | REDUCE: (356), (15278) imply:
% 191.13/30.03  | | | | | | | | | | | | | | |   (15281)   ~ (all_52_7 = e1)
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | REDUCE: (358), (15278) imply:
% 191.13/30.03  | | | | | | | | | | | | | | |   (15282)   ~ (all_52_9 = e1)
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | REDUCE: (36), (15278) imply:
% 191.13/30.03  | | | | | | | | | | | | | | |   (15283)  op(e2, e2) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | |   (15284)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 191.13/30.03  | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | BETA: splitting (15284) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | |   (15285)  all_56_0 = e1 & op(e3, e3) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | ALPHA: (15285) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | |   (15286)  op(e3, e3) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (15286), (function-axioms) are
% 191.13/30.03  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.13/30.03  | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | |   (15287)  all_56_2 = e1 & op(e2, e3) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | ALPHA: (15287) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | |   (15288)  all_56_2 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | |   (15289)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 191.13/30.03  | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (13173), (15288), (15289),
% 191.13/30.03  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.13/30.03  | | | | | | | | | | | | | | | | | |            #309.
% 191.13/30.03  | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | |   (15290)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | BETA: splitting (15290) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |   (15291)  all_56_6 = e3 & op(e1, e3) = e3
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | ALPHA: (15291) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | |   (15292)  all_56_6 = e3
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |   (15293)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15293) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15294)  all_56_0 = e1 & op(e3, e3) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15294) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15295)  op(e3, e3) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (15288),
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |            (15292), (15295), (function-axioms) are
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1850.
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15296)  all_56_1 = e1 & op(e3, e2) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15296) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15297)  op(e3, e2) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (15280), (15297), (function-axioms) are
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1910.
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | End of split
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |   (15298)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15298) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15299)  all_56_4 = e1 & op(e3, e1) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15299) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15300)  op(e3, e1) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15157), (15300), (function-axioms) are
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15301)  all_56_9 = e1 & op(e3, e0) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15301) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15302)  all_56_9 = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | |   (15303)  op(e3, e0) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |   (15304)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15304) gives:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |   (15305)  all_56_12 = e1 & op(e0, e3) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15305) implies:
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | |   (15306)  op(e0, e3) = e1
% 191.13/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (97), (103), (110), (112), (113), (118),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (120), (121), (123), (125), (134), (139), (140),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (141), (144), (145), (146), (148), (149), (157),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (160), (162), (163), (164), (165),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (167), (168), (169), (170), (189), (190), (191),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (193), (196), (200), (206), (211), (213), (214),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (218), (219), (220), (221), (222),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (228), (234), (235), (238),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (248), (250), (259), (269), (362),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (369), (371), (13165), (13167), (13168), (13169),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (13170), (13172), (13173), (13176), (13178),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (15126), (15129), (15156), (15162), (15276),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (15279), (15282), (15283), (15302), (15303),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            (15306), (function-axioms) are inconsistent by
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #306.
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |   (15307)  all_56_13 = e1 & op(e0, e2) = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15307) implies:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |   (15308)  op(e0, e2) = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (15281), (15308), (function-axioms) are
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | |   (15309)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (15135), (15158), (15309),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | |            #1114.
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | Case 2:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |   (15310)  all_56_12 = e3 & op(e0, e3) = e3
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | ALPHA: (15310) implies:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |   (15311)  op(e0, e3) = e3
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (15130), (15311), (function-axioms) are
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #323.
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | Case 2:
% 191.40/30.03  | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | |   (15312)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 191.40/30.03  | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 191.40/30.03  | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | BETA: splitting (15312) gives:
% 191.40/30.03  | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | Case 1:
% 191.40/30.03  | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | |   (15313)  all_56_6 = e1 & op(e1, e3) = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | ALPHA: (15313) implies:
% 191.40/30.03  | | | | | | | | | | | | | | | | |   (15314)  op(e1, e3) = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15155), (15314), (function-axioms) are
% 191.40/30.03  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 191.40/30.03  | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | Case 2:
% 191.40/30.03  | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | |   (15315)  all_56_12 = e1 & op(e0, e3) = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | ALPHA: (15315) implies:
% 191.40/30.03  | | | | | | | | | | | | | | | | |   (15316)  op(e0, e3) = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 191.40/30.03  | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | Case 1:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | |   (15317)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 191.40/30.03  | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (13173), (15280), (15317),
% 191.40/30.03  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.40/30.03  | | | | | | | | | | | | | | | | | |            #305.
% 191.40/30.03  | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | Case 2:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | |   (15318)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 191.40/30.03  | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | BETA: splitting (15318) gives:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | Case 1:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |   (15319)  all_56_4 = e1 & op(e3, e1) = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | ALPHA: (15319) implies:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |   (15320)  op(e3, e1) = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15157), (15320), (function-axioms) are
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | Case 2:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |   (15321)  all_56_9 = e1 & op(e3, e0) = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | ALPHA: (15321) implies:
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |   (15322)  all_56_9 = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |   (15323)  op(e3, e0) = e1
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (97), (103), (110), (112), (113), (118),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (120), (121), (123), (125), (134), (139), (140),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (141), (144), (145), (146), (148), (149), (157),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (158), (159), (160), (162), (163), (164), (165),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (167), (168), (169), (170), (189), (190), (191),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (193), (196), (200), (206), (211), (213), (214),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (215), (216), (218), (219), (220), (221), (222),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (228), (234), (235), (238),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (246), (247), (248), (250), (259), (269), (362),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (369), (371), (13165), (13167), (13168), (13169),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (13170), (13172), (13173), (13176), (13178),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (15126), (15129), (15156), (15162), (15276),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (15279), (15282), (15283), (15316), (15322),
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            (15323), (function-axioms) are inconsistent by
% 191.40/30.03  | | | | | | | | | | | | | | | | | | |            sub-proof #306.
% 191.40/30.03  | | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | Case 2:
% 191.40/30.03  | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | |   (15324)  all_54_10 = e0
% 191.40/30.03  | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | | REF_CLOSE: (336), (15145), (15324) are inconsistent by
% 191.40/30.03  | | | | | | | | | | | | | |            sub-proof #932.
% 191.40/30.03  | | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | End of split
% 191.40/30.03  | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | Case 2:
% 191.40/30.03  | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | |   (15325)  all_22_2 = e0
% 191.40/30.03  | | | | | | | | | | | 
% 191.40/30.03  | | | | | | | | | | | COMBINE_EQS: (251), (15325) imply:
% 191.40/30.04  | | | | | | | | | | |   (15326)  all_10_2 = e0
% 191.40/30.04  | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | REDUCE: (366), (15326) imply:
% 191.40/30.04  | | | | | | | | | | |   (15327)   ~ (all_52_11 = e0)
% 191.40/30.04  | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | REDUCE: (368), (15326) imply:
% 191.40/30.04  | | | | | | | | | | |   (15328)   ~ (all_52_14 = e0)
% 191.40/30.04  | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | REDUCE: (15143), (15326) imply:
% 191.40/30.04  | | | | | | | | | | |   (15329)   ~ (e3 = e0)
% 191.40/30.04  | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | REDUCE: (13177), (15326) imply:
% 191.40/30.04  | | | | | | | | | | |   (15330)   ~ (e2 = e0)
% 191.40/30.04  | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | REDUCE: (45), (15326) imply:
% 191.40/30.04  | | | | | | | | | | |   (15331)  op(e1, e1) = e0
% 191.40/30.04  | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | BETA: splitting (206) gives:
% 191.40/30.04  | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | Case 1:
% 191.40/30.04  | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | |   (15332)  all_56_15 = e0 & op(e0, e0) = e0
% 191.40/30.04  | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | ALPHA: (15332) implies:
% 191.40/30.04  | | | | | | | | | | | |   (15333)  op(e0, e0) = e0
% 191.40/30.04  | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | REF_CLOSE: (7), (15135), (15333), (function-axioms) are
% 191.40/30.04  | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 191.40/30.04  | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | Case 2:
% 191.40/30.04  | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | |   (15334)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.40/30.04  | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.40/30.04  | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 191.40/30.04  | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.40/30.04  | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 191.40/30.04  | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | ALPHA: (15334) implies:
% 191.40/30.04  | | | | | | | | | | | |   (15335)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 191.40/30.04  | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 191.40/30.04  | | | | | | | | | | | |                e1) = e0)
% 191.40/30.04  | | | | | | | | | | | |   (15336)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.40/30.04  | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 191.40/30.04  | | | | | | | | | | | |                e0) = e0)
% 191.40/30.04  | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | BETA: splitting (15335) gives:
% 191.40/30.04  | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | Case 1:
% 191.40/30.04  | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | |   (15337)  all_56_12 = e0 & op(e0, e3) = e0
% 191.40/30.04  | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | ALPHA: (15337) implies:
% 191.40/30.04  | | | | | | | | | | | | |   (15338)  op(e0, e3) = e0
% 191.40/30.04  | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (15338), (function-axioms) are
% 191.40/30.04  | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.40/30.04  | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | Case 2:
% 191.40/30.04  | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | |   (15339)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 191.40/30.04  | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.40/30.04  | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | BETA: splitting (15339) gives:
% 191.40/30.04  | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | Case 1:
% 191.40/30.04  | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | |   (15340)  all_56_13 = e0 & op(e0, e2) = e0
% 191.40/30.04  | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | ALPHA: (15340) implies:
% 191.40/30.04  | | | | | | | | | | | | | |   (15341)  op(e0, e2) = e0
% 191.40/30.04  | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | BETA: splitting (15336) gives:
% 191.40/30.04  | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | Case 1:
% 191.40/30.04  | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | |   (15342)  all_56_9 = e0 & op(e3, e0) = e0
% 191.40/30.04  | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | ALPHA: (15342) implies:
% 191.40/30.04  | | | | | | | | | | | | | | |   (15343)  op(e3, e0) = e0
% 191.40/30.04  | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | REF_CLOSE: (168), (13172), (15343), (function-axioms) are
% 191.40/30.04  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 191.40/30.04  | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | Case 2:
% 191.40/30.04  | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | |   (15344)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 191.40/30.04  | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.40/30.04  | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | BETA: splitting (15344) gives:
% 191.40/30.04  | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | Case 1:
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15345)  all_56_10 = e0 & op(e2, e0) = e0
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | ALPHA: (15345) implies:
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15346)  all_56_10 = e0
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15347)  op(e2, e0) = e0
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 191.40/30.04  | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (15341) gives:
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15348)  all_52_7 = e0
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.40/30.04  | | | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (15347) gives:
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15349)  all_52_13 = e0
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | REDUCE: (128), (15348) imply:
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15350)   ~ (all_52_6 = e0)
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | REDUCE: (125), (15348) imply:
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15351)   ~ (all_52_11 = e0)
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | REDUCE: (117), (15349) imply:
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15352)   ~ (all_52_9 = e0)
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | REDUCE: (110), (15349) imply:
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15353)   ~ (all_52_14 = e0)
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | REDUCE: (360), (15349) imply:
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15354)   ~ (all_4_2 = e0)
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | SIMP: (15354) implies:
% 191.40/30.04  | | | | | | | | | | | | | | | |   (15355)   ~ (all_4_2 = e0)
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 191.40/30.04  | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | Case 1:
% 191.40/30.04  | | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | |   (15356)   ~ (all_24_2 = e1)
% 191.40/30.04  | | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | | REDUCE: (318), (15356) imply:
% 191.40/30.04  | | | | | | | | | | | | | | | | |   (15357)   ~ (all_4_2 = e1)
% 191.40/30.04  | | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.40/30.04  | | | | | | | | | | | | | | | | | 
% 191.40/30.04  | | | | | | | | | | | | | | | | | Case 1:
% 191.40/30.04  | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | |   (15358)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.04  | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | BETA: splitting (15358) gives:
% 191.43/30.04  | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |   (15359)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | BETA: splitting (15359) gives:
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |   (15360)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (15135), (15341), (15360),
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |            #1027.
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |   (15361)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (13173), (15331), (15361),
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |            #363.
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |   (15362)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | BETA: splitting (15362) gives:
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |   (15363)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (15132), (15363),
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | |            #397.
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.04  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |   (15364)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15364) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |   (15365)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15365) implies:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |   (15366)  op(e2, e2) = e1
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (15357), (15366), (function-axioms) are
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1969.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |   (15367)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15367) implies:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |   (15368)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15135), (15341), (15368), (function-axioms)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1028.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.05  | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | |   (15369)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | BETA: splitting (15369) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |   (15370)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (15370) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |   (15371)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15135), (15341), (15371),
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |            #304.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |   (15372)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15372) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |   (15373)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15373) implies:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |   (15374)  op(e1, e0) = e1
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |   (15375)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | |   (15376)  all_54_5 = e3
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (15376) are inconsistent by
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1948.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | |   (15377)   ~ (all_54_5 = e3)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | |   (15378)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15378) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | |   (15379)  all_54_5 = e2
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15379) imply:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | |   (15380)  all_4_2 = e2
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15380) implies:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | |   (15381)  all_4_2 = e2
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (15381) imply:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | |   (15382)   ~ (all_52_1 = e2)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (15381) imply:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | |   (15383)  op(e2, e2) = e2
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15375) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | |   (15384)  all_57_12 = e0 & op(e2, e2) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15384) implies:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | |   (15385)  op(e2, e2) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15383), (15385), (function-axioms) are
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | |   (15386)   ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15386) implies:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | |   (15387)   ~ (all_57_11 = e2)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | |   (15388)  op(e2, e0) = all_57_11
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (15389)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15389) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15390)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15390) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15391)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (15382), (15391), (function-axioms) are
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15392)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15392) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15393)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15393) implies:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15394)  op(e2, e2) = e3
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (15394), (function-axioms) are
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15395)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15395) implies:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15396)  op(e1, e3) = e1
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (15374), (15396),
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #303.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15397)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (13173), (15331), (15341), (15383),
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (15397), (function-axioms) are inconsistent by
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #302.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (15398)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15398) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15399)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15399) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15400)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (15135), (15400),
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #318.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15401)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (15132), (15135), (15401),
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15402)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15402) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15403)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15331), (15387), (15388), (15403),
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #301.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15404)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15404) gives:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15405)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15405) implies:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15406)   ~ (all_57_13 = e1)
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15407)  op(e1, e0) = all_57_13
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15374), (15406), (15407), (function-axioms) are
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15408)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15408) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15409)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15409) implies:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15410)   ~ (all_57_14 = e0)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15411)  op(e1, e1) = all_57_14
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15331), (15410), (15411), (function-axioms) are
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15412)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15412) implies:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15413)  op(e0, e0) = all_57_15
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15414)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15414) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15415)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15415) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15416)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15416) implies:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15417)  op(e2, e2) = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (15417), (function-axioms) are
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15418)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (15135), (15413), (15418),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #300.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15419)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (36), (157), (373), (15327),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15331), (15383), (15414), (15419),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #299.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |   (15420)  all_54_5 = e1 | all_54_5 = e0
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15355), (15357), (15420) are inconsistent
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1941.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |   (15421)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15421) implies:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |   (15422)  op(e1, e0) = e0
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15328), (15422), (function-axioms) are
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |   (15423)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | BETA: splitting (15423) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |   (15424)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15424) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |   (15425)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15425) implies:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |   (15426)  op(e3, e3) = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (79), (85),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            (117), (141), (143), (157), (160), (162), (163),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (199), (206), (210),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            (211), (213), (214), (215), (216), (218), (219),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            (220), (221), (222), (223), (224), (226), (227),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (231), (232), (233), (234),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            (238), (239), (268), (309), (314), (349), (358),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            (360), (373), (13168), (15132), (15133), (15134),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            (15135), (15141), (15327), (15328), (15331),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            (15352), (15357), (15426), (function-axioms) are
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1010.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |   (15427)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15427) implies:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |   (15428)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15135), (15341), (15428), (function-axioms)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1028.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |   (15429)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (15135), (15331), (15429),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |            #652.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | |   (15430)  all_24_2 = e1
% 191.43/30.06  | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (15430) imply:
% 191.43/30.06  | | | | | | | | | | | | | | | | |   (15431)  all_4_2 = e1
% 191.43/30.06  | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | SIMP: (15431) implies:
% 191.43/30.06  | | | | | | | | | | | | | | | | |   (15432)  all_4_2 = e1
% 191.43/30.06  | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | REDUCE: (349), (15432) imply:
% 191.43/30.06  | | | | | | | | | | | | | | | | |   (15433)   ~ (all_52_1 = e1)
% 191.43/30.06  | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | REDUCE: (352), (15432) imply:
% 191.43/30.06  | | | | | | | | | | | | | | | | |   (15434)   ~ (all_52_4 = e1)
% 191.43/30.06  | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | REDUCE: (354), (15432) imply:
% 191.43/30.06  | | | | | | | | | | | | | | | | |   (15435)   ~ (all_52_6 = e1)
% 191.43/30.06  | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | REDUCE: (36), (15432) imply:
% 191.43/30.06  | | | | | | | | | | | | | | | | |   (15436)  op(e2, e2) = e1
% 191.43/30.06  | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | |   (15437)  all_54_3 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (15132), (15437) are inconsistent by
% 191.43/30.06  | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | |   (15438)   ~ (all_54_3 = e3)
% 191.43/30.06  | | | | | | | | | | | | | | | | | |   (15439)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 191.43/30.06  | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |   (15440)  all_54_11 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (15134), (15440) are inconsistent by
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |            sub-proof #1277.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |   (15441)   ~ (all_54_11 = e3)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | |   (15442)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |   (15443)  all_54_9 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (15443) imply:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |   (15444)  all_52_6 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | SIMP: (15444) implies:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |   (15445)  all_52_6 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (15445) imply:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |   (15446)   ~ (all_52_4 = e3)
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (15445) imply:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | |   (15447)  op(e1, e2) = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |   (15448)  all_54_1 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (15446), (15448) are inconsistent by
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1763.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | |   (15449)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |   (15450)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15450) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |   (15451)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15451) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |   (15452)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (15135), (15341), (15436), (15452),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            #674.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |   (15453)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (13173), (15331), (15453),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            #363.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |   (15454)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15454) gives:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |   (15455)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (15132), (15455),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            #397.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |   (15456)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (15435), (15447), (15456),
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | |            #635.
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.06  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |   (15457)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15457) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |   (15458)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15458) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |   (15459)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15135), (15341), (15459),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            #304.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |   (15460)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15460) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (15461)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15461) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (15462)  op(e1, e0) = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15449) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15463)  all_54_1 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (15463) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15464)  all_52_4 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15464) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15465)  all_52_4 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (15465) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15466)   ~ (all_52_12 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15466) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15467)   ~ (all_52_12 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (13172), (15439), (15462),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |            (15467), (function-axioms) are inconsistent by
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1290.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15468)  all_54_1 = e1 | all_54_1 = e0
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (13170), (15434), (15468) are inconsistent
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1898.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (15469)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15469) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (15470)  op(e1, e0) = e0
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15328), (15470), (function-axioms) are
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |   (15471)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15471) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |   (15472)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (13173), (15135), (15341), (15472),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            #298.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |   (15473)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (15135), (15331), (15473),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            #652.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | |   (15474)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15474) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | |   (15475)  all_54_9 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (15475) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | |   (15476)  all_52_6 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | SIMP: (15476) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | |   (15477)  all_52_6 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (15477) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | |   (15478)   ~ (all_52_2 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (15477) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | |   (15479)   ~ (all_52_4 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (15477) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | |   (15480)   ~ (all_52_14 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | SIMP: (15480) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | |   (15481)   ~ (all_52_14 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15442) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |   (15482)  all_54_11 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (15482) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |   (15483)  all_52_14 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15481), (15483) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |   (15484)  $false
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15484) is inconsistent.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |   (15485)   ~ (all_54_11 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | |   (15486)  all_54_11 = e1 | all_54_11 = e0
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |   (15487)  all_54_1 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (15487) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |   (15488)  all_52_4 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (15488) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |   (15489)   ~ (all_52_8 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15489) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |   (15490)   ~ (all_52_8 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (15488) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |   (15491)   ~ (all_52_12 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (15488) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | |   (15492)  op(e3, e2) = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |   (15493)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (15436), (15479), (15493),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |            #578.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |   (15494)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15494) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (15495)  all_56_7 = e2 & op(e1, e2) = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15495) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (15496)  all_56_7 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (15497)  op(e1, e2) = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15498)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15498) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15499)  all_56_4 = e3 & op(e3, e1) = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15499) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15500)  op(e3, e1) = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (170), (15492), (15500),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #497.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15501)  all_56_5 = e3 & op(e2, e1) = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15501) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15502)  all_56_5 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15486) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15503)  all_54_11 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (15503) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15504)  all_52_14 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15504) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15505)  all_52_14 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (15505) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15506)   ~ (all_52_2 = e1)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (15505) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15507)   ~ (all_52_12 = e1)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15481), (15505) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15508)   ~ (e2 = e1)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (15505) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15509)  op(e1, e0) = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15510)  all_54_8 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (15510) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15511)  all_52_2 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15511) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15512)  all_52_2 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (15512) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15513)   ~ (all_52_1 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15514)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15514) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15515)  all_56_6 = e3 & op(e1, e3) = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15515) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15516)  all_56_6 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15517)  all_54_4 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (15513), (15517) are inconsistent by
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15518)   ~ (all_54_4 = e3)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15519)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15520)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15520) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15521)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15521) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15522)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15522) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15523)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15523) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15524)  op(e1, e1) = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15331), (15524), (function-axioms) are
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15525)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15525) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15526)   ~ (all_57_2 = e0)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15527)  op(e0, e3) = all_57_2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15439) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15528)  all_54_3 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15528) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15529)  all_52_12 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15529) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15530)  all_52_12 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (15530) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15531)   ~ (all_52_8 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15132), (15530) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15532)   ~ (e3 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15533)  all_54_2 = e3
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (15490), (15533) are inconsistent by
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1762.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15534)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15535)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15535) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15536)  all_56_9 = e2 & op(e3, e0) = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15536) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15537)  all_56_9 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15538)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15538) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15539)  all_56_9 = e1 & op(e3, e0) = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (271), (13171), (15531), (15534),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15539), (function-axioms) are inconsistent by
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #502.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15540)  all_56_10 = e1 & op(e2, e0) = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15540) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15541)  all_56_10 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (15328), (15336), (15537),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15541), (function-axioms) are inconsistent by
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #487.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15542)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15542) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15543)  all_56_11 = e1 & op(e1, e0) = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15543) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15544)  all_56_11 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15545)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15545) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15546)  all_56_0 = e1 & op(e3, e3) = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15546) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15547)  op(e3, e3) = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (15547), (function-axioms) are
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15548)  all_56_2 = e1 & op(e2, e3) = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15548) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15549)  all_56_2 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (15331), (15436), (15502), (15549),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1017.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15550)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15550) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15551)  all_56_6 = e1 & op(e1, e3) = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15551) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15552)  all_56_6 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (160), (215), (216),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15134), (15331), (15544), (15552),
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #632.
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15553)  all_56_12 = e1 & op(e0, e3) = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15553) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15554)  all_56_12 = e1
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15519) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15555)  all_54_4 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (15555) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15556)  all_52_1 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15556) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15557)  all_52_1 = e2
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (15557) imply:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15558)   ~ (all_52_9 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15558) implies:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15559)   ~ (all_52_9 = e2)
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.43/30.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15560)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15560) gives:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15561)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15561) gives:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15562)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (15135), (15341), (15436), (15562),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #674.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15563)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (13173), (15506), (15563),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #324.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15564)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15564) gives:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15565)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (15132), (15526), (15527), (15565),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #314.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15566)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15566) gives:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15567)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15567) implies:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15568)  op(e2, e1) = e2
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15559), (15568), (function-axioms) are
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15569)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15569) implies:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15570)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (15492), (15570), (function-axioms)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15571)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15571) gives:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15572)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15572) gives:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15573)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (15341), (15492), (15573),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #297.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15574)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15574) gives:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15575)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15575) implies:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15576)  op(e0, e1) = e1
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (13171), (15531), (15534),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15576), (function-axioms) are inconsistent by
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #295.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15577)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15577) implies:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15578)  op(e1, e0) = e0
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15509), (15578), (function-axioms) are
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15579)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15579) gives:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15580)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15580) gives:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15581)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15581) implies:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15582)  op(e3, e3) = e3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15516), (15554), (15582), (function-axioms) are
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1542.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15583)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15583) implies:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15584)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (15492), (15584), (function-axioms)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15585)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (15135), (15331), (15585),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #652.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15586)  all_54_4 = e1 | all_54_4 = e0
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (15347), (15433), (15586),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #671.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15587)  all_56_15 = e1 & op(e0, e0) = e1
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15587) implies:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15588)  op(e0, e0) = e1
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15135), (15588), (function-axioms) are
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15589)  all_56_10 = e2 & op(e2, e0) = e2
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15589) implies:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15590)  all_56_10 = e2
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15346), (15590) imply:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15591)  e2 = e0
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15591) implies:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15592)  e2 = e0
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15496), (15592) imply:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15593)  all_56_7 = e0
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (15331), (15478), (15593),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #750.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15594)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (214), (216),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15134), (15135), (15331), (15496), (15497),
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15594), (function-axioms) are inconsistent by
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #667.
% 191.43/30.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15595)  all_54_3 = e1 | all_54_3 = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (13172), (15507), (15595) are inconsistent
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1061.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15596)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (15436), (15506), (15596),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1678.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15597)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15597) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15598)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15331), (15341), (15598), (function-axioms)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1588.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15599)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15599) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15600)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15600) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15601)  op(e1, e2) = e1
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15497), (15601), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15602)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15602) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15603)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15603) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15604)  op(e1, e2) = e1
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15497), (15604), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15605)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15605) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15606)  op(e3, e1) = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (170), (15492), (15606),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #497.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15607)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15607) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15608)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15608) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15609)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (15135), (15609),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #318.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15610)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (15132), (15135), (15610),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15611)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15611) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15612)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15612) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15613)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15613) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15614)  all_57_11 = e2
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15615)  op(e2, e0) = e2
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (117), (159), (160),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (164), (165), (239), (13169), (13173),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15328), (15331), (15341), (15435), (15436),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15614), (15615), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #353.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15616)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15616) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15617)   ~ (all_57_14 = e0)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15618)  op(e1, e1) = all_57_14
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15331), (15617), (15618), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15619)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15619) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15620)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15620) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15621)   ~ (all_57_13 = e1)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15622)  op(e1, e0) = all_57_13
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15509), (15621), (15622), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15623)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15623) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15624)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15624) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15625)   ~ (all_57_14 = e0)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15626)  op(e1, e1) = all_57_14
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15331), (15625), (15626), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15627)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15627) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15628)  op(e0, e0) = all_57_15
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15629)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15629) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15630)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15135), (15436), (15492), (15628), (15630),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1186.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15631)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (125), (157), (158), (15327),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15331), (15341), (15436), (15629), (15631),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #294.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15632)  all_56_7 = e3 & op(e1, e2) = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15632) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15633)  op(e1, e2) = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15497), (15633), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #823.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15634)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (15134), (15331), (15634),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1406.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15635)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (13168), (15478), (15506), (15635) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #670.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15636)  all_54_11 = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (15328), (15636) are inconsistent by
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15637)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15637) gives:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15638)  all_56_8 = e3 & op(e1, e1) = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15638) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15639)  op(e1, e1) = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15331), (15639), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15640)  all_56_14 = e3 & op(e0, e1) = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15640) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15641)  all_56_14 = e3
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (207), (208),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13169), (15135), (15335), (15641),
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #320.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (15642)  all_56_13 = e2 & op(e0, e2) = e2
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15642) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (15643)  op(e0, e2) = e2
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15341), (15643), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | |   (15644)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (13170), (15434), (15479), (15644) are
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1897.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | |   (15645)  all_54_9 = e1 | all_54_9 = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (15350), (15435), (15645) are inconsistent
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1802.
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | |   (15646)  all_56_11 = e0 & op(e1, e0) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | ALPHA: (15646) implies:
% 191.43/30.09  | | | | | | | | | | | | | | | |   (15647)  op(e1, e0) = e0
% 191.43/30.09  | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15328), (15647), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 191.43/30.09  | | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | Case 2:
% 191.43/30.09  | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | |   (15648)  all_56_14 = e0 & op(e0, e1) = e0
% 191.43/30.09  | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | ALPHA: (15648) implies:
% 191.43/30.09  | | | | | | | | | | | | | |   (15649)  op(e0, e1) = e0
% 191.43/30.09  | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | | REF_CLOSE: (157), (15327), (15649), (function-axioms) are
% 191.43/30.09  | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 191.43/30.09  | | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | | 
% 191.43/30.09  | | | | | | | | | | | End of split
% 191.43/30.09  | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | End of split
% 191.43/30.10  | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | |   (15650)  all_20_2 = e3
% 191.43/30.10  | | | | | | | | | |   (15651)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0
% 191.43/30.10  | | | | | | | | | |              & op(e1, e3) = all_20_1 & $i(all_20_0) &
% 191.43/30.10  | | | | | | | | | |              $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1, e3)
% 191.43/30.10  | | | | | | | | | |              = all_20_1 & $i(all_20_1))
% 191.43/30.10  | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | COMBINE_EQS: (325), (15650) imply:
% 191.43/30.10  | | | | | | | | | |   (15652)  all_10_2 = e3
% 191.43/30.10  | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | COMBINE_EQS: (331), (15652) imply:
% 191.43/30.10  | | | | | | | | | |   (15653)  all_30_2 = e3
% 191.43/30.10  | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | REDUCE: (361), (15652) imply:
% 191.43/30.10  | | | | | | | | | |   (15654)   ~ (all_52_6 = e3)
% 191.43/30.10  | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | REDUCE: (364), (15652) imply:
% 191.43/30.10  | | | | | | | | | |   (15655)   ~ (all_52_9 = e3)
% 191.43/30.10  | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | REDUCE: (45), (15652) imply:
% 191.43/30.10  | | | | | | | | | |   (15656)  op(e1, e1) = e3
% 191.43/30.10  | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | BETA: splitting (224) gives:
% 191.43/30.10  | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | |   (15657)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 191.43/30.10  | | | | | | | | | | |              & op(e2, e2) = e3)
% 191.43/30.10  | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | BETA: splitting (15657) gives:
% 191.43/30.10  | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | |   (15658)  all_56_2 = e3 & op(e2, e3) = e3
% 191.43/30.10  | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | ALPHA: (15658) implies:
% 191.43/30.10  | | | | | | | | | | | |   (15659)  all_56_2 = e3
% 191.43/30.10  | | | | | | | | | | | |   (15660)  op(e2, e3) = e3
% 191.43/30.10  | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | BETA: splitting (228) gives:
% 191.43/30.10  | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | |   (15661)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 191.43/30.10  | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 191.43/30.10  | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | BETA: splitting (15661) gives:
% 191.43/30.10  | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | |   (15662)  all_56_1 = e3 & op(e3, e2) = e3
% 191.43/30.10  | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | ALPHA: (15662) implies:
% 191.43/30.10  | | | | | | | | | | | | | |   (15663)  all_56_1 = e3
% 191.43/30.10  | | | | | | | | | | | | | |   (15664)  op(e3, e2) = e3
% 191.43/30.10  | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 191.43/30.10  | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (15660) gives:
% 191.43/30.10  | | | | | | | | | | | | | |   (15665)  all_52_1 = e3
% 191.43/30.10  | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 191.43/30.10  | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (15664) gives:
% 191.43/30.10  | | | | | | | | | | | | | |   (15666)  all_52_4 = e3
% 191.43/30.10  | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | REDUCE: (136), (15666) imply:
% 191.43/30.10  | | | | | | | | | | | | | |   (15667)   ~ (all_52_6 = e3)
% 191.43/30.10  | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | REDUCE: (133), (15666) imply:
% 191.43/30.10  | | | | | | | | | | | | | |   (15668)   ~ (all_52_12 = e3)
% 191.43/30.10  | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | REDUCE: (352), (15666) imply:
% 191.43/30.10  | | | | | | | | | | | | | |   (15669)   ~ (all_4_2 = e3)
% 191.43/30.10  | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 191.43/30.10  | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | |   (15670)   ~ (all_24_2 = e1)
% 191.43/30.10  | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | REDUCE: (318), (15670) imply:
% 191.43/30.10  | | | | | | | | | | | | | | |   (15671)   ~ (all_4_2 = e1)
% 191.43/30.10  | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | |   (15672)   ~ (all_32_2 = e0)
% 191.43/30.10  | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | REDUCE: (314), (15672) imply:
% 191.43/30.10  | | | | | | | | | | | | | | | |   (15673)   ~ (all_4_2 = e0)
% 191.43/30.10  | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | |   (15674)  all_54_5 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15674) imply:
% 191.43/30.10  | | | | | | | | | | | | | | | | |   (15675)  all_4_2 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | REDUCE: (373), (15675) imply:
% 191.43/30.10  | | | | | | | | | | | | | | | | |   (15676)  $false
% 191.43/30.10  | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | CLOSE: (15676) is inconsistent.
% 191.43/30.10  | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | |   (15677)   ~ (all_54_5 = e3)
% 191.43/30.10  | | | | | | | | | | | | | | | | |   (15678)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | BETA: splitting (15678) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | |   (15679)  all_54_5 = e2
% 191.43/30.10  | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15679) imply:
% 191.43/30.10  | | | | | | | | | | | | | | | | | |   (15680)  all_4_2 = e2
% 191.43/30.10  | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | REDUCE: (360), (15680) imply:
% 191.43/30.10  | | | | | | | | | | | | | | | | | |   (15681)   ~ (all_52_13 = e2)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | REDUCE: (373), (15680) imply:
% 191.43/30.10  | | | | | | | | | | | | | | | | | |   (15682)   ~ (e3 = e2)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | REDUCE: (36), (15680) imply:
% 191.43/30.10  | | | | | | | | | | | | | | | | | |   (15683)  op(e2, e2) = e2
% 191.43/30.10  | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |   (15684)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | BETA: splitting (15684) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |   (15685)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15685) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |   (15686)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (373), (13173), (15686),
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |            #352.
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |   (15687)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15687) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |   (15688)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15688) implies:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |   (15689)  op(e3, e3) = e1
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (15689), (function-axioms) are
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |   (15690)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15690) implies:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |   (15691)  op(e1, e3) = e1
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |   (15692)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | |                = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |   (15693)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15693) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |   (15694)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15694) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (15695)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (15692), (15695), (function-axioms)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1223.
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (15696)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (15656), (15696), (function-axioms)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #733.
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |   (15697)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15697) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (15698)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15135), (15656), (15698), (function-axioms)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1222.
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (15699)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15699) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15700)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15700) implies:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15701)   ~ (all_57_3 = e3)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15702)  op(e3, e2) = all_57_3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15664), (15701), (15702), (function-axioms) are
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1889.
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15703)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15135), (15683), (15703),
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1024.
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |   (15704)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15704) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |   (15705)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15705) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (15706)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (15135), (15706),
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |            #318.
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (15707)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (15132), (15135), (15707),
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |   (15708)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15708) gives:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (15709)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15709) gives:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15710)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15710) implies:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15711)  op(e2, e0) = e2
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15681), (15711), (function-axioms) are
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15712)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15712) implies:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15713)  op(e1, e0) = e1
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (15691), (15713),
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            #303.
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (15714)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15714) gives:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15715)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15715) implies:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15716)  op(e2, e0) = e2
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15681), (15716), (function-axioms) are
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15717)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15717) gives:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15718)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15718) implies:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15719)  op(e1, e0) = e1
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (15691), (15719),
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #303.
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15720)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15720) implies:
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15721)  op(e0, e0) = all_57_15
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15722)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.43/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15722) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15723)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (15135), (15664), (15721), (15723),
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #628.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15724)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (13173), (15656), (15683), (15724),
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #562.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |   (15725)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (159), (168), (13169), (13173), (15132),
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            (15664), (15683), (15725), (function-axioms) are
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #351.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |   (15726)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | BETA: splitting (15726) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |   (15727)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15727) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |   (15728)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (13173), (15664), (15681), (15728),
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |            #395.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |   (15729)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (15135), (15656), (15729),
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |            #1219.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |   (15730)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15730) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |   (15731)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15731) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |   (15732)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15732) implies:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |   (15733)  op(e3, e3) = e3
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |            (233), (13168), (15659), (15733),
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |            #1720.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |   (15734)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15734) implies:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |   (15735)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (15664), (15735), (function-axioms)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |   (15736)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (15135), (15656), (15736),
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | |            #1214.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | |   (15737)  all_54_5 = e1 | all_54_5 = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15671), (15673), (15737) are inconsistent
% 191.50/30.11  | | | | | | | | | | | | | | | | | |            by sub-proof #1941.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | |   (15738)  all_32_2 = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (15738) imply:
% 191.50/30.11  | | | | | | | | | | | | | | | |   (15739)  all_4_2 = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | REDUCE: (373), (15739) imply:
% 191.50/30.11  | | | | | | | | | | | | | | | |   (15740)   ~ (e3 = e0)
% 191.50/30.11  | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | REDUCE: (15671), (15739) imply:
% 191.50/30.11  | | | | | | | | | | | | | | | |   (15741)   ~ (e1 = e0)
% 191.50/30.11  | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | REDUCE: (36), (15739) imply:
% 191.50/30.11  | | | | | | | | | | | | | | | |   (15742)  op(e2, e2) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | |   (15743)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 191.50/30.11  | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | BETA: splitting (15743) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | |   (15744)  all_56_4 = e0 & op(e3, e1) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13171), (15744), (function-axioms) are
% 191.50/30.11  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | |   (15745)  all_56_5 = e0 & op(e2, e1) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | ALPHA: (15745) implies:
% 191.50/30.11  | | | | | | | | | | | | | | | | | |   (15746)  all_56_5 = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (15659),
% 191.50/30.11  | | | | | | | | | | | | | | | | | |            (15660), (15742), (15746), (function-axioms) are
% 191.50/30.11  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #293.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | End of split
% 191.50/30.11  | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | |   (15747)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 191.50/30.11  | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.50/30.11  | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | BETA: splitting (15747) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | |   (15748)  all_56_8 = e0 & op(e1, e1) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | ALPHA: (15748) implies:
% 191.50/30.11  | | | | | | | | | | | | | | | | | |   (15749)  op(e1, e1) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15656), (15749), (function-axioms) are
% 191.50/30.11  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | |   (15750)  all_56_14 = e0 & op(e0, e1) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | ALPHA: (15750) implies:
% 191.50/30.11  | | | | | | | | | | | | | | | | | |   (15751)  op(e0, e1) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |   (15752)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (226),
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (13168), (15742), (15752),
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |            #316.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |   (15753)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 191.50/30.11  | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | BETA: splitting (15753) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |   (15754)  all_56_8 = e0 & op(e1, e1) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | ALPHA: (15754) implies:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |   (15755)  op(e1, e1) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15656), (15755), (function-axioms) are
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |   (15756)  all_56_11 = e0 & op(e1, e0) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | ALPHA: (15756) implies:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |   (15757)  op(e1, e0) = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (15751) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |   (15758)  all_52_11 = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |              e0, e0, e1, simplifying with (160), (15757) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |   (15759)  all_52_14 = e0
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (15758) imply:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | |   (15760)   ~ (all_52_7 = e0)
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.11  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |   (15761)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15761) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |   (15762)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15762) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (15763)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15660), (15763), (function-axioms) are
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1442.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (15764)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (15656), (15764), (function-axioms)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #733.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |   (15765)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15765) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (15766)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15135), (15656), (15766), (function-axioms)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1222.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (15767)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15767) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15768)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15768) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15769)   ~ (all_57_3 = e3)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15770)  op(e3, e2) = all_57_3
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15664), (15769), (15770), (function-axioms) are
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1889.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15771)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (15135), (15742), (15771),
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            #1393.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |   (15772)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15772) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |   (15773)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15773) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (15774)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (15135), (15774),
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            #318.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (15775)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (15132), (15135), (15775),
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            #1189.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |   (15776)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15776) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (15777)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15742), (15757), (15777), (function-axioms)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #311.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (15778)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15778) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15779)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15779) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15780)  op(e1, e1) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15656), (15780), (function-axioms) are
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15781)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15781) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (15782)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15782) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (15783)  op(e1, e0) = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15757), (15783), (function-axioms) are
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (15784)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15784) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (15785)  op(e0, e0) = all_57_15
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (15786)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (158), (373), (13173), (15135),
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            (15742), (15760), (15785), (15786),
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            #310.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | |   (15787)  all_24_2 = e1
% 191.50/30.12  | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | COMBINE_EQS: (318), (15787) imply:
% 191.50/30.12  | | | | | | | | | | | | | | |   (15788)  all_4_2 = e1
% 191.50/30.12  | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | SIMP: (15788) implies:
% 191.50/30.12  | | | | | | | | | | | | | | |   (15789)  all_4_2 = e1
% 191.50/30.12  | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | REDUCE: (358), (15789) imply:
% 191.50/30.12  | | | | | | | | | | | | | | |   (15790)   ~ (all_52_9 = e1)
% 191.50/30.12  | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | REDUCE: (360), (15789) imply:
% 191.50/30.12  | | | | | | | | | | | | | | |   (15791)   ~ (all_52_13 = e1)
% 191.50/30.12  | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | REDUCE: (373), (15789) imply:
% 191.50/30.12  | | | | | | | | | | | | | | |   (15792)   ~ (e3 = e1)
% 191.50/30.12  | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | REDUCE: (36), (15789) imply:
% 191.50/30.12  | | | | | | | | | | | | | | |   (15793)  op(e2, e2) = e1
% 191.50/30.12  | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | |   (15794)   ~ (all_30_2 = e3)
% 191.50/30.12  | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | REDUCE: (15653), (15794) imply:
% 191.50/30.12  | | | | | | | | | | | | | | | |   (15795)  $false
% 191.50/30.12  | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | CLOSE: (15795) is inconsistent.
% 191.50/30.12  | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | |   (15796)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 191.50/30.12  | | | | | | | | | | | | | | | |              & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 191.50/30.12  | | | | | | | | | | | | | | | |              $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 191.50/30.12  | | | | | | | | | | | | | | | |              = all_30_1 & $i(all_30_1))
% 191.50/30.12  | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | |   (15797)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 191.50/30.12  | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (13173), (15664), (15797),
% 191.50/30.12  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.12  | | | | | | | | | | | | | | | | |            #379.
% 191.50/30.12  | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | |   (15798)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 191.50/30.12  | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | BETA: splitting (15798) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | |   (15799)  all_56_4 = e2 & op(e3, e1) = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | ALPHA: (15799) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | |   (15800)  all_56_4 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | |   (15801)  op(e3, e1) = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (117), (146), (159),
% 191.50/30.12  | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (206), (208),
% 191.50/30.12  | | | | | | | | | | | | | | | | | |            (213), (214), (215), (216), (217), (218), (219),
% 191.50/30.12  | | | | | | | | | | | | | | | | | |            (223), (225), (227), (230), (232), (234), (239),
% 191.50/30.12  | | | | | | | | | | | | | | | | | |            (13169), (13171), (13172), (13173), (15126),
% 191.50/30.12  | | | | | | | | | | | | | | | | | |            (15132), (15135), (15656), (15660), (15663),
% 191.50/30.12  | | | | | | | | | | | | | | | | | |            (15664), (15790), (15793), (15800), (15801),
% 191.50/30.12  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.12  | | | | | | | | | | | | | | | | | |            #291.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | |   (15802)  all_56_9 = e2 & op(e3, e0) = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | ALPHA: (15802) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | |   (15803)  all_56_9 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | |   (15804)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | BETA: splitting (15804) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | |   (15805)  all_56_9 = e1 & op(e3, e0) = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | ALPHA: (15805) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | |   (15806)  all_56_9 = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15803), (15806) are inconsistent by
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | |            sub-proof #1605.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | |   (15807)  all_56_10 = e1 & op(e2, e0) = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | ALPHA: (15807) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | |   (15808)  op(e2, e0) = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15791), (15808), (function-axioms) are
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | |   (15809)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | BETA: splitting (15809) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | |   (15810)  all_56_11 = e1 & op(e1, e0) = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | ALPHA: (15810) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | |   (15811)  all_56_11 = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | |   (15812)  op(e1, e0) = e1
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |   (15813)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15813) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |   (15814)  all_56_6 = e0 & op(e1, e3) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13168), (15814), (function-axioms) are
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |   (15815)  all_56_7 = e0 & op(e1, e2) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15815) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | |   (15816)  all_56_7 = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (15817)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15664), (15793), (15817),
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |            #644.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (15818)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15818) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15819)  all_56_7 = e2 & op(e1, e2) = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15816), (15819) are inconsistent by
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1262.
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15820)  all_56_13 = e2 & op(e0, e2) = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15820) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15821)  all_56_13 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (15822)  op(e0, e2) = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (15823)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15823) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15824)  all_56_6 = e2 & op(e1, e3) = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15824) implies:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15825)  all_56_6 = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15826)  op(e1, e3) = e2
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15827)  all_56_15 = e0 & op(e0, e0) = e0
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15827) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15828)  op(e0, e0) = e0
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15135), (15828), (function-axioms) are
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15829)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15829) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15830)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15830) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15831)  all_56_12 = e0 & op(e0, e3) = e0
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15831) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15832)  op(e0, e3) = e0
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (15832), (function-axioms) are
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15833)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15833) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15834)  all_56_13 = e0 & op(e0, e2) = e0
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15834) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15835)  op(e0, e2) = e0
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15822), (15835), (function-axioms) are
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15836)  all_56_14 = e0 & op(e0, e1) = e0
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15836) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15837)  all_56_14 = e0
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15838)  op(e0, e1) = e0
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15839)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15839) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15840)  all_56_4 = e2 & op(e3, e1) = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15840) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15841)  all_56_4 = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15842)  op(e3, e1) = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (117), (146), (159),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (206), (208),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (215), (216), (217), (218), (219),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (225), (227), (230), (232), (234), (239),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13169), (13171), (13172), (13173), (15126),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15132), (15135), (15656), (15660), (15663),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15664), (15790), (15793), (15841), (15842),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #291.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15843)  all_56_5 = e2 & op(e2, e1) = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15843) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15844)  op(e2, e1) = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15845)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15845) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15846)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15846) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15847)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (13173), (15793), (15847),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #364.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15848)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15848) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15849)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15849) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15850)  op(e3, e3) = e1
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (15850), (function-axioms) are
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15851)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15651), (15796), (15826), (15851),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #289.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15852)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15852) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15853)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (15132), (15853),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #397.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15854)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15854) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15855)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15855) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15856)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15857)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (15135), (15838), (15856),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15857), (function-axioms) are inconsistent by
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #313.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15858)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15858) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15859)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (15664), (15859), (function-axioms)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15860)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15860) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15861)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15861) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15862)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15862) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15863)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15863) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15864)  op(e2, e0) = e2
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (15844), (15864),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15865)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15865) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15866)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (15664), (15866), (function-axioms)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15867)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15867) gives:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15868)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15868) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15869)  op(e1, e1) = e0
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (15134), (15654),
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15825), (15869), (function-axioms) are
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1405.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15870)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15870) implies:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15871)  op(e0, e0) = e1
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15135), (15871), (function-axioms) are
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15872)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.50/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15872) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15873)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15873) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15874)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15874) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15875)  op(e3, e3) = e3
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (15659),
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15825), (15875), (function-axioms) are
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1218.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15876)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15876) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15877)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (15664), (15877), (function-axioms)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15878)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (15656), (15812), (15878),
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1254.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15879)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15879) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15880)  all_56_8 = e2 & op(e1, e1) = e2
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15880) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15881)  op(e1, e1) = e2
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15656), (15881), (function-axioms) are
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15882)  all_56_14 = e2 & op(e0, e1) = e2
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15882) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15883)  all_56_14 = e2
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15837), (15883) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15884)  e2 = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (15884) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15885)  $false
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15885) is inconsistent.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15886)  all_56_7 = e2 & op(e1, e2) = e2
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15886) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15887)  all_56_7 = e2
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (15663), (15793), (15821),
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            (15887), (function-axioms) are inconsistent by
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #330.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (15888)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15656), (15811), (15888),
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |            #1261.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |   (15889)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15889) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |   (15890)  all_56_8 = e0 & op(e1, e1) = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15890) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |   (15891)  op(e1, e1) = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15656), (15891), (function-axioms) are
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |   (15892)  all_56_11 = e0 & op(e1, e0) = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15811), (15892) are inconsistent by
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1202.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |   (15893)  all_56_15 = e1 & op(e0, e0) = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (15893) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |   (15894)  op(e0, e0) = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15135), (15894), (function-axioms) are
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | |   (15895)  all_56_3 = e3 & op(e2, e2) = e3
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | ALPHA: (15895) implies:
% 191.50/30.14  | | | | | | | | | | | | | |   (15896)  op(e2, e2) = e3
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (15896), (function-axioms) are
% 191.50/30.14  | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | |   (15897)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 191.50/30.14  | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.50/30.14  | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | REF_CLOSE: (158), (162), (15131), (15654), (15897),
% 191.50/30.14  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.14  | | | | | | | | | | | | |            #454.
% 191.50/30.14  | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | |   (15898)  all_56_3 = e3 & op(e2, e2) = e3
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | ALPHA: (15898) implies:
% 191.50/30.14  | | | | | | | | | | | |   (15899)  op(e2, e2) = e3
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | REF_CLOSE: (36), (373), (15899), (function-axioms) are
% 191.50/30.14  | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | |   (15900)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 191.50/30.14  | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 191.50/30.14  | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | REF_CLOSE: (164), (165), (15133), (15655), (15900),
% 191.50/30.14  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.14  | | | | | | | | | | |            #1455.
% 191.50/30.14  | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | | 
% 191.50/30.14  | | | | | | | | End of split
% 191.50/30.14  | | | | | | | | 
% 191.50/30.14  | | | | | | | End of split
% 191.50/30.14  | | | | | | | 
% 191.50/30.14  | | | | | | End of split
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | Case 2:
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | |   (15901)  all_14_2 = e1
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | | COMBINE_EQS: (327), (15901) imply:
% 191.50/30.14  | | | | | |   (15902)  all_16_2 = e1
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | | REDUCE: (351), (15901) imply:
% 191.50/30.14  | | | | | |   (15903)   ~ (all_52_3 = e1)
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | | REDUCE: (369), (15901) imply:
% 191.50/30.14  | | | | | |   (15904)   ~ (all_52_11 = e1)
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | | REDUCE: (370), (15901) imply:
% 191.50/30.14  | | | | | |   (15905)   ~ (all_52_12 = e1)
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | | REDUCE: (371), (15901) imply:
% 191.50/30.14  | | | | | |   (15906)   ~ (all_52_13 = e1)
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | | REDUCE: (372), (15901) imply:
% 191.50/30.14  | | | | | |   (15907)   ~ (all_52_14 = e1)
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | | REDUCE: (51), (15901) imply:
% 191.50/30.14  | | | | | |   (15908)  op(e0, e0) = e1
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | | BETA: splitting (55) gives:
% 191.50/30.14  | | | | | | 
% 191.50/30.14  | | | | | | Case 1:
% 191.50/30.14  | | | | | | | 
% 191.50/30.14  | | | | | | |   (15909)   ~ (all_16_2 = e1)
% 191.50/30.14  | | | | | | | 
% 191.50/30.14  | | | | | | | REDUCE: (15902), (15909) imply:
% 191.50/30.14  | | | | | | |   (15910)  $false
% 191.50/30.14  | | | | | | | 
% 191.50/30.14  | | | | | | | CLOSE: (15910) is inconsistent.
% 191.50/30.14  | | | | | | | 
% 191.50/30.14  | | | | | | Case 2:
% 191.50/30.14  | | | | | | | 
% 191.50/30.14  | | | | | | |   (15911)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 191.50/30.14  | | | | | | |              op(e0, e1) = all_16_1 & $i(all_16_0) & $i(all_16_1))
% 191.50/30.14  | | | | | | |            | ( ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 191.50/30.14  | | | | | | |              $i(all_16_1))
% 191.50/30.14  | | | | | | | 
% 191.50/30.14  | | | | | | | BETA: splitting (61) gives:
% 191.50/30.14  | | | | | | | 
% 191.50/30.14  | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | 
% 191.50/30.14  | | | | | | | |   (15912)   ~ (all_20_2 = e3)
% 191.50/30.14  | | | | | | | | 
% 191.50/30.14  | | | | | | | | REDUCE: (325), (15912) imply:
% 191.50/30.14  | | | | | | | |   (15913)   ~ (all_10_2 = e3)
% 191.50/30.14  | | | | | | | | 
% 191.50/30.14  | | | | | | | | BETA: splitting (64) gives:
% 191.50/30.14  | | | | | | | | 
% 191.50/30.14  | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | 
% 191.50/30.14  | | | | | | | | |   (15914)   ~ (all_22_2 = e0)
% 191.50/30.14  | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | REDUCE: (251), (15914) imply:
% 191.50/30.14  | | | | | | | | |   (15915)   ~ (all_10_2 = e0)
% 191.50/30.14  | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | BETA: splitting (194) gives:
% 191.50/30.14  | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | |   (15916)  all_54_10 = e3
% 191.50/30.14  | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | REF_CLOSE: (336), (15913), (15916) are inconsistent by
% 191.50/30.14  | | | | | | | | | |            sub-proof #983.
% 191.50/30.14  | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | |   (15917)   ~ (all_54_10 = e3)
% 191.50/30.14  | | | | | | | | | |   (15918)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 191.50/30.14  | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | BETA: splitting (15918) gives:
% 191.50/30.14  | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | |   (15919)  all_54_10 = e2
% 191.50/30.14  | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | REF_CLOSE: (336), (13177), (15919) are inconsistent by
% 191.50/30.14  | | | | | | | | | | |            sub-proof #982.
% 191.50/30.14  | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | |   (15920)   ~ (all_54_10 = e2)
% 191.50/30.14  | | | | | | | | | | |   (15921)  all_54_10 = e1 | all_54_10 = e0
% 191.50/30.14  | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | BETA: splitting (15921) gives:
% 191.50/30.14  | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | |   (15922)  all_54_10 = e1
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | COMBINE_EQS: (336), (15922) imply:
% 191.50/30.14  | | | | | | | | | | | |   (15923)  all_10_2 = e1
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | SIMP: (15923) implies:
% 191.50/30.14  | | | | | | | | | | | |   (15924)  all_10_2 = e1
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | REDUCE: (350), (15924) imply:
% 191.50/30.14  | | | | | | | | | | | |   (15925)   ~ (all_52_2 = e1)
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | REDUCE: (363), (15924) imply:
% 191.50/30.14  | | | | | | | | | | | |   (15926)   ~ (all_52_8 = e1)
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | REDUCE: (15913), (15924) imply:
% 191.50/30.14  | | | | | | | | | | | |   (15927)   ~ (e3 = e1)
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | REDUCE: (13177), (15924) imply:
% 191.50/30.14  | | | | | | | | | | | |   (15928)   ~ (e2 = e1)
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | REDUCE: (45), (15924) imply:
% 191.50/30.14  | | | | | | | | | | | |   (15929)  op(e1, e1) = e1
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | BETA: splitting (231) gives:
% 191.50/30.14  | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | |   (15930)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 191.50/30.14  | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 191.50/30.14  | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | BETA: splitting (15930) gives:
% 191.50/30.14  | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | |   (15931)  all_56_0 = e1 & op(e3, e3) = e1
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | ALPHA: (15931) implies:
% 191.50/30.14  | | | | | | | | | | | | | |   (15932)  op(e3, e3) = e1
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (15932), (function-axioms) are
% 191.50/30.14  | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | |   (15933)  all_56_2 = e1 & op(e2, e3) = e1
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | ALPHA: (15933) implies:
% 191.50/30.14  | | | | | | | | | | | | | |   (15934)  all_56_2 = e1
% 191.50/30.14  | | | | | | | | | | | | | |   (15935)  op(e2, e3) = e1
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 191.50/30.14  | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | |   (15936)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 191.50/30.14  | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | BETA: splitting (15936) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15937)  all_56_0 = e1 & op(e3, e3) = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | ALPHA: (15937) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15938)  op(e3, e3) = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (15938), (function-axioms) are
% 191.50/30.14  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15939)  all_56_1 = e1 & op(e3, e2) = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | ALPHA: (15939) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15940)  all_56_1 = e1
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15941)  op(e3, e2) = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 191.50/30.14  | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (15935) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15942)  all_52_1 = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 191.50/30.14  | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (15941) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15943)  all_52_4 = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | REDUCE: (149), (15942) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15944)   ~ (all_52_2 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | REDUCE: (148), (15942) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15945)   ~ (all_52_3 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | REDUCE: (145), (15942) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15946)   ~ (all_52_13 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | REDUCE: (136), (15943) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15947)   ~ (all_52_6 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | SIMP: (15947) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15948)   ~ (all_52_6 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | REDUCE: (135), (15943) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15949)   ~ (all_52_7 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | SIMP: (15949) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15950)   ~ (all_52_7 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | REDUCE: (134), (15943) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15951)   ~ (all_52_8 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | REDUCE: (352), (15943) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15952)   ~ (all_4_2 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | SIMP: (15952) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | |   (15953)   ~ (all_4_2 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | |   (15954)   ~ (all_32_2 = e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | REDUCE: (314), (15954) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | |   (15955)   ~ (all_4_2 = e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | |   (15956)  all_54_5 = e3
% 191.50/30.14  | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15956) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | |   (15957)  all_4_2 = e3
% 191.50/30.14  | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | REDUCE: (373), (15957) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | |   (15958)  $false
% 191.50/30.14  | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | CLOSE: (15958) is inconsistent.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | |   (15959)   ~ (all_54_5 = e3)
% 191.50/30.14  | | | | | | | | | | | | | | | | | |   (15960)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | BETA: splitting (15960) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | |   (15961)  all_54_5 = e2
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15961) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | |   (15962)  all_4_2 = e2
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | REDUCE: (358), (15962) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | |   (15963)   ~ (all_52_9 = e2)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | REDUCE: (360), (15962) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | |   (15964)   ~ (all_52_13 = e2)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | REDUCE: (373), (15962) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | |   (15965)   ~ (e3 = e2)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | REDUCE: (36), (15962) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | |   (15966)  op(e2, e2) = e2
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |   (15967)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (162), (163), (167), (268), (349),
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            (373), (15925), (15941), (15948), (15953),
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            (15955), (15960), (15966), (15967),
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            #620.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |   (15968)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15968) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |   (15969)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15969) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |   (15970)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15970) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15971)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15971) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15972)  all_57_6 = e3
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15973)   ~ (all_57_10 = e1)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15974)   ~ (all_57_8 = e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15975)  op(e0, e1) = all_57_8
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15976)  op(e3, e1) = e3
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15977)  op(e3, e3) = all_57_10
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8, e1, e0, simplifying with (157), (15975)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15978)  all_57_8 = all_52_11
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (15976) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15979)  all_52_8 = e3
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10, e3, e3, simplifying with (13173),
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |              (15977) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15980)  all_57_10 = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15974), (15978) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15981)   ~ (all_52_11 = e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15973), (15980) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15982)   ~ (e1 = e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (15979) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15983)   ~ (all_52_9 = e3)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15983) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15984)   ~ (all_52_9 = e3)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (15979) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15985)   ~ (all_52_11 = e3)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15985) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15986)   ~ (all_52_11 = e3)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (15979) imply:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15987)   ~ (all_52_12 = e3)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15987) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (15988)   ~ (all_52_12 = e3)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | |   (15989)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15989) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (15990)  all_56_4 = e0 & op(e3, e1) = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13171), (15990), (function-axioms) are
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (15991)  all_56_5 = e0 & op(e2, e1) = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15991) implies:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (15992)  all_56_5 = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15993)  all_54_14 = e3
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (15986), (15993) are inconsistent by
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1260.
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15994)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15995)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15995) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15996)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15996) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15997)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15997) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15998)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15998) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15999)  op(e3, e2) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (170), (15976), (15999),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #497.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16000)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16000) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16001)  op(e2, e2) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (16001), (function-axioms) are
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16002)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15925), (15973), (15977), (16002),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #794.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16003)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16003) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16004)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (15988), (16004),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #397.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16005)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (15948), (15966), (16005),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1272.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16006)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16006) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16007)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16007) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16008)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16008) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16009)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16009) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16010)  op(e2, e0) = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (164), (165), (169), (199), (217),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (268), (358), (360), (373), (13171), (15929),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15953), (15981), (16010), (function-axioms) are
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #405.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16011)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16011) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16012)  op(e0, e0) = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15908), (16012), (function-axioms) are
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16013)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (15904), (15981), (16013),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #876.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16014)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16014) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16015)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16015) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16016)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16016) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16017)  op(e3, e3) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13173), (16017), (function-axioms) are
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16018)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16018) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16019)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16020)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15994) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16021)  all_54_14 = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (16021) imply:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16022)  all_52_11 = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16022) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16023)  all_52_11 = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (16023) imply:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16024)   ~ (all_52_3 = e2)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (16023) imply:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16025)   ~ (all_52_7 = e2)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16026)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16026) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16027)  all_56_12 = e2 & op(e0, e3) = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (16024), (16027), (function-axioms) are
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16028)  all_56_13 = e2 & op(e0, e2) = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16028) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16029)  op(e0, e2) = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16025), (16029), (function-axioms) are
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16030)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16030) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16031)  all_56_14 = e2 & op(e0, e1) = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16031) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16032)  all_56_14 = e2
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16033)  all_54_12 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (16033) imply:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16034)  all_52_3 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16034) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16035)  all_52_3 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (16035) imply:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16036)   ~ (all_52_2 = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16037)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (15934), (16037),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1556.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16038)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16038) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16039)  all_56_5 = e3 & op(e2, e1) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16039) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16040)  op(e2, e1) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15984), (16040), (function-axioms) are
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16041)  all_56_10 = e3 & op(e2, e0) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16041) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16042)  all_56_10 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16043)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16043) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16044)  all_56_0 = e3 & op(e3, e3) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16044) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16045)  op(e3, e3) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (220), (230), (234),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15929), (15940), (15992), (16032), (16045),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #973.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16046)  all_56_2 = e3 & op(e2, e3) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16046) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16047)  all_56_2 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (221),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (373), (15906), (15953),
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16042), (16047), (function-axioms) are
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #886.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16048)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16048) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16049)  all_56_6 = e3 & op(e1, e3) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16049) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16050)  op(e1, e3) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (16036), (16050), (function-axioms) are
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16051)  all_56_12 = e3 & op(e0, e3) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16051) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16052)  all_56_12 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16053)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16053) gives:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16054)  all_56_1 = e3 & op(e3, e2) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16054) implies:
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16055)  op(e3, e2) = e3
% 191.50/30.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (16020), (16055), (function-axioms)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16056)  all_56_3 = e3 & op(e2, e2) = e3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16056) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16057)  op(e2, e2) = e3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (16057), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16058)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16058) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16059)  all_56_7 = e3 & op(e1, e2) = e3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16059) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16060)  all_56_7 = e3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16061)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16061) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16062)  all_56_1 = e0 & op(e3, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (13170), (16062), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #389.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16063)  all_56_3 = e0 & op(e2, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16063) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16064)  op(e2, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15966), (16064), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16065)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16065) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16066)  all_56_7 = e0 & op(e1, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16066) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16067)  all_56_7 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16060), (16067) are inconsistent by
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1797.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16068)  all_56_13 = e0 & op(e0, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16068) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16069)  op(e0, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (15903), (16019), (16032),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16069), (function-axioms) are inconsistent by
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #582.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16070)  all_56_13 = e3 & op(e0, e2) = e3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16070) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16071)  all_56_13 = e3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (206), (207),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (15950), (16052), (16071),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #558.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16072)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (13169), (15903), (16024), (16072) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #707.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16073)  all_56_15 = e2 & op(e0, e0) = e2
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16073) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16074)  op(e0, e0) = e2
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15908), (16074), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16075)  all_54_14 = e1 | all_54_14 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (15904), (15981), (16075) are inconsistent
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1737.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16076)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15908), (15972), (15973), (16076),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #934.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |   (16077)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16077) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (16078)  all_56_8 = e0 & op(e1, e1) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16078) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (16079)  op(e1, e1) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (157), (169),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (221), (223), (224), (373),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            (15904), (15926), (15934), (16079),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            #394.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (16080)  all_56_14 = e0 & op(e0, e1) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16080) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (16081)  op(e0, e1) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (15981), (16081), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |   (16082)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16082) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |   (16083)  op(e3, e3) = e1
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (16083), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |   (16084)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13173), (15963), (16084),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |            #288.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |   (16085)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (159), (160), (164), (373),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |            (13169), (13173), (15907), (15929), (15953),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |            (15964), (16085), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #317.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | |   (16086)  all_54_5 = e1 | all_54_5 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15953), (15955), (16086) are inconsistent
% 191.50/30.16  | | | | | | | | | | | | | | | | | | |            by sub-proof #1941.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | |   (16087)  all_32_2 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (16087) imply:
% 191.50/30.16  | | | | | | | | | | | | | | | | |   (16088)  all_4_2 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | REDUCE: (356), (16088) imply:
% 191.50/30.16  | | | | | | | | | | | | | | | | |   (16089)   ~ (all_52_7 = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | REDUCE: (360), (16088) imply:
% 191.50/30.16  | | | | | | | | | | | | | | | | |   (16090)   ~ (all_52_13 = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | REDUCE: (373), (16088) imply:
% 191.50/30.16  | | | | | | | | | | | | | | | | |   (16091)   ~ (e3 = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | REDUCE: (15953), (16088) imply:
% 191.50/30.16  | | | | | | | | | | | | | | | | |   (16092)   ~ (e1 = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | REDUCE: (36), (16088) imply:
% 191.50/30.16  | | | | | | | | | | | | | | | | |   (16093)  op(e2, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | |   (16094)  all_56_15 = e0 & op(e0, e0) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | ALPHA: (16094) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | |   (16095)  op(e0, e0) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15908), (16095), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | |   (16096)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 191.50/30.16  | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | ALPHA: (16096) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | |   (16097)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 191.50/30.16  | | | | | | | | | | | | | | | | | |                e1) = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | |   (16098)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 191.50/30.16  | | | | | | | | | | | | | | | | | |                e0) = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | BETA: splitting (16097) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | |   (16099)  all_56_12 = e0 & op(e0, e3) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | ALPHA: (16099) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | |   (16100)  op(e0, e3) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (16100), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | |   (16101)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | BETA: splitting (16101) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | |   (16102)  all_56_13 = e0 & op(e0, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | ALPHA: (16102) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | |   (16103)  op(e0, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16089), (16103), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | |   (16104)  all_56_14 = e0 & op(e0, e1) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | ALPHA: (16104) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | |   (16105)  op(e0, e1) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16098) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |   (16106)  all_56_9 = e0 & op(e3, e0) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16106) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |   (16107)  op(e3, e0) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13172), (16107), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |   (16108)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16108) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |   (16109)  all_56_10 = e0 & op(e2, e0) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16109) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |   (16110)  op(e2, e0) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16090), (16110), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |   (16111)  all_56_11 = e0 & op(e1, e0) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16111) implies:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |   (16112)  op(e1, e0) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (16105) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |   (16113)  all_52_11 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e1, simplifying with (160), (16112) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | |   (16114)  all_52_14 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |   (16115)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16115) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |   (16116)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16116) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (16117)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15908), (15929), (16117), (function-axioms)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #981.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (16118)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (163), (373), (15925), (16118),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            #1973.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |   (16119)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16119) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (16120)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15941), (16120), (function-axioms) are
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #621.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (16121)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (15948), (16093), (16121),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |            #1895.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |   (16122)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16122) gives:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |   (16123)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (15911), (16105), (16123),
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | |            #285.
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.50/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |   (16124)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16124) gives:
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (16125)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15907), (16093), (16125),
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |            #284.
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (16126)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16126) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16127)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16127) implies:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16128)  op(e1, e1) = e0
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (157), (169),
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (221), (223), (224), (373),
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            (15904), (15926), (15934), (16128),
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            #394.
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16129)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (159),
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (229), (233), (235), (373), (13169),
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            (15907), (15934), (16089), (16093), (16129),
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            #710.
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | |   (16130)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 191.55/30.17  | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 191.55/30.17  | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (15905), (15926), (16130),
% 191.55/30.17  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.17  | | | | | | | | | | | | | | |            #608.
% 191.55/30.17  | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | |   (16131)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 191.55/30.17  | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | REF_CLOSE: (159), (163), (15903), (15925), (16131),
% 191.55/30.17  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.17  | | | | | | | | | | | | |            #607.
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | |   (16132)  all_54_10 = e0
% 191.55/30.17  | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | REF_CLOSE: (336), (15915), (16132) are inconsistent by
% 191.55/30.17  | | | | | | | | | | | |            sub-proof #932.
% 191.55/30.17  | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | |   (16133)  all_22_2 = e0
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | COMBINE_EQS: (251), (16133) imply:
% 191.55/30.17  | | | | | | | | |   (16134)  all_10_2 = e0
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | SIMP: (16134) implies:
% 191.55/30.17  | | | | | | | | |   (16135)  all_10_2 = e0
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | REDUCE: (366), (16135) imply:
% 191.55/30.17  | | | | | | | | |   (16136)   ~ (all_52_11 = e0)
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | REDUCE: (368), (16135) imply:
% 191.55/30.17  | | | | | | | | |   (16137)   ~ (all_52_14 = e0)
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | REDUCE: (15913), (16135) imply:
% 191.55/30.17  | | | | | | | | |   (16138)   ~ (e3 = e0)
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | REDUCE: (13177), (16135) imply:
% 191.55/30.17  | | | | | | | | |   (16139)   ~ (e2 = e0)
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | REDUCE: (45), (16135) imply:
% 191.55/30.17  | | | | | | | | |   (16140)  op(e1, e1) = e0
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | BETA: splitting (206) gives:
% 191.55/30.17  | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | |   (16141)  all_56_15 = e0 & op(e0, e0) = e0
% 191.55/30.17  | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | ALPHA: (16141) implies:
% 191.55/30.17  | | | | | | | | | |   (16142)  op(e0, e0) = e0
% 191.55/30.17  | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | REF_CLOSE: (4), (15908), (16142), (function-axioms) are
% 191.55/30.17  | | | | | | | | | |            inconsistent by sub-proof #1943.
% 191.55/30.17  | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | |   (16143)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.55/30.17  | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.55/30.17  | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 191.55/30.17  | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.55/30.17  | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 191.55/30.17  | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | ALPHA: (16143) implies:
% 191.55/30.17  | | | | | | | | | |   (16144)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 191.55/30.17  | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 191.55/30.17  | | | | | | | | | |                e1) = e0)
% 191.55/30.17  | | | | | | | | | |   (16145)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.55/30.17  | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 191.55/30.17  | | | | | | | | | |                e0) = e0)
% 191.55/30.17  | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | BETA: splitting (16144) gives:
% 191.55/30.17  | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | |   (16146)  all_56_12 = e0 & op(e0, e3) = e0
% 191.55/30.17  | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | ALPHA: (16146) implies:
% 191.55/30.17  | | | | | | | | | | |   (16147)  op(e0, e3) = e0
% 191.55/30.17  | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | REF_CLOSE: (159), (13169), (16147), (function-axioms) are
% 191.55/30.17  | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.55/30.17  | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | |   (16148)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 191.55/30.17  | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.55/30.17  | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | BETA: splitting (16148) gives:
% 191.55/30.17  | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | |   (16149)  all_56_13 = e0 & op(e0, e2) = e0
% 191.55/30.17  | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | ALPHA: (16149) implies:
% 191.55/30.17  | | | | | | | | | | | |   (16150)  op(e0, e2) = e0
% 191.55/30.17  | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | BETA: splitting (16145) gives:
% 191.55/30.17  | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | |   (16151)  all_56_9 = e0 & op(e3, e0) = e0
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | ALPHA: (16151) implies:
% 191.55/30.17  | | | | | | | | | | | | |   (16152)  op(e3, e0) = e0
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | REF_CLOSE: (168), (13172), (16152), (function-axioms) are
% 191.55/30.17  | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | |   (16153)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 191.55/30.17  | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | BETA: splitting (16153) gives:
% 191.55/30.17  | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | |   (16154)  all_56_10 = e0 & op(e2, e0) = e0
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | ALPHA: (16154) implies:
% 191.55/30.17  | | | | | | | | | | | | | |   (16155)  all_56_10 = e0
% 191.55/30.17  | | | | | | | | | | | | | |   (16156)  op(e2, e0) = e0
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 191.55/30.17  | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (16150) gives:
% 191.55/30.17  | | | | | | | | | | | | | |   (16157)  all_52_7 = e0
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.55/30.17  | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (16156) gives:
% 191.55/30.17  | | | | | | | | | | | | | |   (16158)  all_52_13 = e0
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | REDUCE: (125), (16157) imply:
% 191.55/30.17  | | | | | | | | | | | | | |   (16159)   ~ (all_52_11 = e0)
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | REDUCE: (110), (16158) imply:
% 191.55/30.17  | | | | | | | | | | | | | |   (16160)   ~ (all_52_14 = e0)
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | REDUCE: (360), (16158) imply:
% 191.55/30.17  | | | | | | | | | | | | | |   (16161)   ~ (all_4_2 = e0)
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | SIMP: (16161) implies:
% 191.55/30.17  | | | | | | | | | | | | | |   (16162)   ~ (all_4_2 = e0)
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | REDUCE: (15906), (16158) imply:
% 191.55/30.17  | | | | | | | | | | | | | |   (16163)   ~ (e1 = e0)
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 191.55/30.17  | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | |   (16164)   ~ (all_24_2 = e1)
% 191.55/30.17  | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | REDUCE: (318), (16164) imply:
% 191.55/30.17  | | | | | | | | | | | | | | |   (16165)   ~ (all_4_2 = e1)
% 191.55/30.17  | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | |   (16166)  all_54_5 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (16166) are inconsistent by
% 191.55/30.17  | | | | | | | | | | | | | | | |            sub-proof #1948.
% 191.55/30.17  | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | |   (16167)   ~ (all_54_5 = e3)
% 191.55/30.17  | | | | | | | | | | | | | | | |   (16168)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.55/30.17  | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | BETA: splitting (16168) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | |   (16169)  all_54_5 = e2
% 191.55/30.17  | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16169) imply:
% 191.55/30.17  | | | | | | | | | | | | | | | | |   (16170)  all_4_2 = e2
% 191.55/30.17  | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | SIMP: (16170) implies:
% 191.55/30.17  | | | | | | | | | | | | | | | | |   (16171)  all_4_2 = e2
% 191.55/30.17  | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | REDUCE: (349), (16171) imply:
% 191.55/30.17  | | | | | | | | | | | | | | | | |   (16172)   ~ (all_52_1 = e2)
% 191.55/30.17  | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | REDUCE: (358), (16171) imply:
% 191.55/30.17  | | | | | | | | | | | | | | | | |   (16173)   ~ (all_52_9 = e2)
% 191.55/30.17  | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | REDUCE: (36), (16171) imply:
% 191.55/30.17  | | | | | | | | | | | | | | | | |   (16174)  op(e2, e2) = e2
% 191.55/30.17  | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | |   (16175)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | BETA: splitting (16175) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |   (16176)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | BETA: splitting (16176) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |   (16177)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16177) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |   (16178)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16178) implies:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |   (16179)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15908), (16150), (16179), (function-axioms)
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #283.
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |   (16180)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16180) implies:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |   (16181)  op(e2, e2) = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (16181), (function-axioms) are
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |   (16182)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (13173), (16140), (16182),
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |            #363.
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |   (16183)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | BETA: splitting (16183) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |   (16184)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16184) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |   (16185)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16185) implies:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |   (16186)  op(e3, e0) = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |   (16187)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16187) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | |   (16188)  all_57_12 = e0 & op(e2, e2) = e0
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16188) implies:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | |   (16189)  op(e2, e2) = e0
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16174), (16189), (function-axioms) are
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | |   (16190)   ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16190) implies:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | |   (16191)   ~ (all_57_11 = e2)
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | |   (16192)  op(e2, e0) = all_57_11
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |   (16193)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16193) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |   (16194)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16194) gives:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (16195)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (16172), (16195), (function-axioms) are
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (16196)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (15908), (16196),
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |            #980.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |   (16197)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (13173), (16140), (16150), (16174),
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |            (16197), (function-axioms) are inconsistent by
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #302.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |   (16198)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16198) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |   (16199)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16199) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (16200)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16200) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16201)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16201) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16202)  op(e3, e1) = e3
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (16186), (16202),
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1912.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16203)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16203) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16204)  op(e3, e3) = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (16204), (function-axioms) are
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (16205)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13173), (16173), (16205),
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |            #288.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |   (16206)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16206) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (16207)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16140), (16191), (16192), (16207),
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |            #301.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (16208)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16208) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16209)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16209) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16210)  op(e2, e0) = e2
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16191), (16192), (16210), (function-axioms) are
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #433.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16211)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16211) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16212)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16212) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16213)   ~ (all_57_14 = e0)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16214)  op(e1, e1) = all_57_14
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16140), (16213), (16214), (function-axioms) are
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16215)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16215) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16216)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16216) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16217)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (159), (373), (13169), (13173),
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16217), (function-axioms) are inconsistent by
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #403.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16218)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (36), (157), (373), (16136),
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16140), (16174), (16216), (16218),
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #299.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |   (16219)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16219) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |   (16220)  op(e0, e3) = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (16220), (function-axioms) are
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |   (16221)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16221) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |   (16222)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16222) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |   (16223)  op(e2, e2) = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16174), (16223), (function-axioms) are
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |   (16224)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16224) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |   (16225)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15908), (16150), (16225), (function-axioms)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #283.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | |   (16226)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.55/30.18  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.55/30.18  | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (157), (160), (13173),
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            (15904), (15908), (16137), (16140), (16150),
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            (16226), (function-axioms) are inconsistent by
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            sub-proof #281.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | |   (16227)  all_54_5 = e1 | all_54_5 = e0
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (16162), (16165), (16227) are inconsistent
% 191.55/30.18  | | | | | | | | | | | | | | | | |            by sub-proof #1941.
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | |   (16228)  all_24_2 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | COMBINE_EQS: (318), (16228) imply:
% 191.55/30.18  | | | | | | | | | | | | | | |   (16229)  all_4_2 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | REDUCE: (352), (16229) imply:
% 191.55/30.18  | | | | | | | | | | | | | | |   (16230)   ~ (all_52_4 = e1)
% 191.55/30.18  | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | REDUCE: (373), (16229) imply:
% 191.55/30.18  | | | | | | | | | | | | | | |   (16231)   ~ (e3 = e1)
% 191.55/30.18  | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | REDUCE: (36), (16229) imply:
% 191.55/30.18  | | | | | | | | | | | | | | |   (16232)  op(e2, e2) = e1
% 191.55/30.18  | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | |   (16233)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 191.55/30.18  | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | BETA: splitting (16233) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | |   (16234)  all_56_0 = e1 & op(e3, e3) = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | ALPHA: (16234) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | |   (16235)  op(e3, e3) = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (16235), (function-axioms) are
% 191.55/30.18  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | |   (16236)  all_56_2 = e1 & op(e2, e3) = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | ALPHA: (16236) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | |   (16237)  all_56_2 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 191.55/30.18  | | | | | | | | | | | | | | | | |            (221), (223), (224), (16140), (16155), (16232),
% 191.55/30.18  | | | | | | | | | | | | | | | | |            (16237), (function-axioms) are inconsistent by
% 191.55/30.18  | | | | | | | | | | | | | | | | |            sub-proof #280.
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | End of split
% 191.55/30.18  | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | |   (16238)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 191.55/30.18  | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 191.55/30.18  | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | BETA: splitting (16238) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | |   (16239)  all_56_6 = e1 & op(e1, e3) = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | ALPHA: (16239) implies:
% 191.55/30.18  | | | | | | | | | | | | | | | | |   (16240)  op(e1, e3) = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 191.55/30.18  | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | |   (16241)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 191.55/30.18  | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 191.55/30.18  | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (13173), (16230), (16241),
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.18  | | | | | | | | | | | | | | | | | |            #305.
% 191.55/30.18  | | | | | | | | | | | | | | | | | | 
% 191.55/30.18  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.18  | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | |   (16242)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | BETA: splitting (16242) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |   (16243)  all_56_4 = e1 & op(e3, e1) = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | ALPHA: (16243) implies:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |   (16244)  op(e3, e1) = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (16240) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |   (16245)  all_52_2 = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (16244) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |   (16246)  all_52_8 = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | REDUCE: (143), (16245) imply:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |   (16247)   ~ (all_52_6 = e1)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | SIMP: (16247) implies:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |   (16248)   ~ (all_52_6 = e1)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |   (16249)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16249) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |   (16250)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16250) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |   (16251)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15908), (16240), (16251), (function-axioms)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #894.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |   (16252)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15908), (16232), (16252), (function-axioms)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #938.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |   (16253)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16253) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |   (16254)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16140), (16150), (16254), (function-axioms)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1588.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |   (16255)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (16244), (16248), (16255),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            #1140.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |   (16256)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16256) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |   (16257)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (16232), (16244), (16257),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |            #279.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |   (16258)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16258) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |   (16259)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (117), (159), (160),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            (162), (164), (165), (239), (13165), (13169),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            (13176), (16137), (16140), (16150), (16232),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            (16248), (16259), (function-axioms) are
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #355.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |   (16260)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16260) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |   (16261)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16261) implies:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |   (16262)  all_57_11 = e2
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |   (16263)  op(e2, e0) = e2
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (117), (159), (160),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |            (162), (164), (165), (239), (13169), (13173),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |            (16137), (16140), (16150), (16232), (16248),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |            (16262), (16263), (function-axioms) are
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #353.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |   (16264)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16264) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |   (16265)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16265) implies:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |   (16266)   ~ (all_57_14 = e0)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |   (16267)  op(e1, e1) = all_57_14
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16140), (16266), (16267), (function-axioms) are
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |   (16268)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16268) implies:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |   (16269)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16269) gives:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (16270)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (159), (13169), (13173), (16232),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (16270), (function-axioms) are inconsistent by
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #278.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (16271)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (125), (157), (158), (16136),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (16140), (16150), (16232), (16269), (16271),
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | |            #294.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |   (16272)  all_56_9 = e1 & op(e3, e0) = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | ALPHA: (16272) implies:
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |   (16273)  op(e3, e0) = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (15905), (16273), (function-axioms) are
% 191.55/30.19  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 191.55/30.19  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | |   (16274)  all_56_12 = e1 & op(e0, e3) = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | ALPHA: (16274) implies:
% 191.55/30.19  | | | | | | | | | | | | | | | | |   (16275)  op(e0, e3) = e1
% 191.55/30.19  | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (15903), (16275), (function-axioms) are
% 191.55/30.19  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 191.55/30.19  | | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | |   (16276)  all_56_11 = e0 & op(e1, e0) = e0
% 191.55/30.19  | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | ALPHA: (16276) implies:
% 191.55/30.19  | | | | | | | | | | | | | |   (16277)  op(e1, e0) = e0
% 191.55/30.19  | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | | REF_CLOSE: (160), (16137), (16277), (function-axioms) are
% 191.55/30.19  | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 191.55/30.19  | | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | |   (16278)  all_56_14 = e0 & op(e0, e1) = e0
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | ALPHA: (16278) implies:
% 191.55/30.19  | | | | | | | | | | | |   (16279)  op(e0, e1) = e0
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | REF_CLOSE: (157), (16136), (16279), (function-axioms) are
% 191.55/30.19  | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | | 
% 191.55/30.19  | | | | | | | | End of split
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | |   (16280)  all_20_2 = e3
% 191.55/30.19  | | | | | | | |   (16281)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 191.55/30.19  | | | | | | | |              op(e1, e3) = all_20_1 & $i(all_20_0) &
% 191.55/30.19  | | | | | | | |              $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1, e3) =
% 191.55/30.19  | | | | | | | |              all_20_1 & $i(all_20_1))
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | | COMBINE_EQS: (325), (16280) imply:
% 191.55/30.19  | | | | | | | |   (16282)  all_10_2 = e3
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | | SIMP: (16282) implies:
% 191.55/30.19  | | | | | | | |   (16283)  all_10_2 = e3
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | | COMBINE_EQS: (331), (16283) imply:
% 191.55/30.19  | | | | | | | |   (16284)  all_30_2 = e3
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | | REDUCE: (350), (16283) imply:
% 191.55/30.19  | | | | | | | |   (16285)   ~ (all_52_2 = e3)
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | | REDUCE: (363), (16283) imply:
% 191.55/30.19  | | | | | | | |   (16286)   ~ (all_52_8 = e3)
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | | REDUCE: (368), (16283) imply:
% 191.55/30.19  | | | | | | | |   (16287)   ~ (all_52_14 = e3)
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | | REDUCE: (45), (16283) imply:
% 191.55/30.19  | | | | | | | |   (16288)  op(e1, e1) = e3
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | | BETA: splitting (67) gives:
% 191.55/30.19  | | | | | | | | 
% 191.55/30.19  | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | 
% 191.55/30.19  | | | | | | | | |   (16289)   ~ (all_24_2 = e1)
% 191.55/30.19  | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | REDUCE: (318), (16289) imply:
% 191.55/30.19  | | | | | | | | |   (16290)   ~ (all_4_2 = e1)
% 191.55/30.19  | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | BETA: splitting (79) gives:
% 191.55/30.19  | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | |   (16291)   ~ (all_32_2 = e0)
% 191.55/30.19  | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | REDUCE: (314), (16291) imply:
% 191.55/30.19  | | | | | | | | | |   (16292)   ~ (all_4_2 = e0)
% 191.55/30.19  | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | BETA: splitting (199) gives:
% 191.55/30.19  | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | |   (16293)  all_54_5 = e3
% 191.55/30.19  | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | COMBINE_EQS: (268), (16293) imply:
% 191.55/30.19  | | | | | | | | | | |   (16294)  all_4_2 = e3
% 191.55/30.19  | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | REDUCE: (373), (16294) imply:
% 191.55/30.19  | | | | | | | | | | |   (16295)  $false
% 191.55/30.19  | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | CLOSE: (16295) is inconsistent.
% 191.55/30.19  | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | Case 2:
% 191.55/30.19  | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | |   (16296)   ~ (all_54_5 = e3)
% 191.55/30.19  | | | | | | | | | | |   (16297)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.55/30.19  | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | BETA: splitting (16297) gives:
% 191.55/30.19  | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | |   (16298)  all_54_5 = e2
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | COMBINE_EQS: (268), (16298) imply:
% 191.55/30.19  | | | | | | | | | | | |   (16299)  all_4_2 = e2
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | REDUCE: (360), (16299) imply:
% 191.55/30.19  | | | | | | | | | | | |   (16300)   ~ (all_52_13 = e2)
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | REDUCE: (373), (16299) imply:
% 191.55/30.19  | | | | | | | | | | | |   (16301)   ~ (e3 = e2)
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | REDUCE: (36), (16299) imply:
% 191.55/30.19  | | | | | | | | | | | |   (16302)  op(e2, e2) = e2
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.55/30.19  | | | | | | | | | | | | 
% 191.55/30.19  | | | | | | | | | | | | Case 1:
% 191.55/30.19  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | |   (16303)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.20  | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.20  | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.20  | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.20  | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.20  | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.20  | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.20  | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.20  | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.20  | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.20  | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.55/30.20  | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.55/30.20  | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.55/30.20  | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.55/30.20  | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.20  | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.55/30.20  | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.55/30.20  | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.55/30.20  | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.55/30.20  | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.55/30.20  | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.20  | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.55/30.20  | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.55/30.20  | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.55/30.20  | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.55/30.20  | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.55/30.20  | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.20  | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.20  | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | BETA: splitting (16303) gives:
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | |   (16304)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.20  | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.20  | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.20  | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.20  | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.20  | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.20  | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.20  | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | BETA: splitting (16304) gives:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | |   (16305)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.20  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.20  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.20  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | REF_CLOSE: (167), (268), (349), (16290), (16292), (16297),
% 191.55/30.20  | | | | | | | | | | | | | | |            (16305), (function-axioms) are inconsistent by
% 191.55/30.20  | | | | | | | | | | | | | | |            sub-proof #735.
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | |   (16306)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.20  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.20  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (16288), (16306), (function-axioms)
% 191.55/30.20  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #733.
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | |   (16307)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.20  | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.55/30.20  | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.55/30.20  | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.55/30.20  | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.20  | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.20  | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.55/30.20  | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.55/30.20  | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.20  | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.55/30.20  | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.55/30.20  | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_10))
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | BETA: splitting (16307) gives:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | |   (16308)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.20  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.55/30.20  | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15908), (16288), (16308),
% 191.55/30.20  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.20  | | | | | | | | | | | | | | |            #882.
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | |   (16309)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.55/30.20  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.55/30.20  | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.55/30.20  | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.20  | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | BETA: splitting (16309) gives:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | |   (16310)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.55/30.20  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.55/30.20  | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | ALPHA: (16310) implies:
% 191.55/30.20  | | | | | | | | | | | | | | | |   (16311)  op(e3, e3) = e2
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (16311), (function-axioms) are
% 191.55/30.20  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | |   (16312)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.20  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.55/30.20  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.55/30.20  | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.55/30.20  | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.55/30.20  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.55/30.20  | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.55/30.20  | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15908), (16302), (16312), (function-axioms)
% 191.55/30.20  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #929.
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | |   (16313)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.20  | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.20  | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.20  | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.20  | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.20  | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.20  | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.20  | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.20  | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.20  | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.20  | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.20  | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.20  | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.20  | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.20  | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.20  | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.20  | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.55/30.20  | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.55/30.20  | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.55/30.20  | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.55/30.20  | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.55/30.20  | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.20  | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.55/30.20  | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.55/30.20  | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.20  | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.20  | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.20  | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.20  | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.20  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.20  | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.20  | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.20  | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.20  | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.20  | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.20  | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.20  | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.20  | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.20  | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.20  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.20  | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.20  | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.20  | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.20  | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.20  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.20  | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.20  | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.20  | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | BETA: splitting (16313) gives:
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | |   (16314)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.20  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.20  | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.20  | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.20  | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.20  | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.20  | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.20  | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.20  | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.20  | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.20  | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | BETA: splitting (16314) gives:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | |   (16315)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.20  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.20  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.20  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | REF_CLOSE: (4), (169), (13173), (16286), (16315),
% 191.55/30.20  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.20  | | | | | | | | | | | | | | |            #565.
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | |   (16316)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.20  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.55/30.20  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.55/30.20  | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.55/30.20  | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | BETA: splitting (16316) gives:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | |   (16317)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.20  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.55/30.20  | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.55/30.20  | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.20  | | | | | | | | | | | | | | | |            $i(all_57_12)
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | ALPHA: (16317) implies:
% 191.55/30.20  | | | | | | | | | | | | | | | |   (16318)  op(e2, e1) = e2
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | REF_CLOSE: (165), (268), (358), (16290), (16292), (16297),
% 191.55/30.20  | | | | | | | | | | | | | | | |            (16318), (function-axioms) are inconsistent by
% 191.55/30.20  | | | | | | | | | | | | | | | |            sub-proof #1940.
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | |   (16319)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.20  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.20  | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.20  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.20  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.20  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.20  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | REF_CLOSE: (13173), (16319), (function-axioms) are
% 191.55/30.20  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #407.
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | |   (16320)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.20  | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.20  | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.20  | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.20  | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.20  | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.55/30.20  | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.20  | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.55/30.20  | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.55/30.20  | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.55/30.20  | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.55/30.20  | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.55/30.20  | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.20  | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.55/30.20  | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.20  | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.55/30.20  | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.55/30.20  | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.20  | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.20  | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.20  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.20  | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.20  | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.20  | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.20  | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.20  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.20  | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.20  | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.20  | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | BETA: splitting (16320) gives:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | |   (16321)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.20  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.20  | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.20  | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.20  | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.20  | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (15907), (16300), (16321),
% 191.55/30.20  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.20  | | | | | | | | | | | | | | |            #560.
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | |   (16322)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.20  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.20  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.20  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.20  | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.20  | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.20  | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.20  | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.20  | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.20  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.20  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.20  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.20  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.20  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.20  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.20  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.20  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.20  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.20  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.20  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.20  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | BETA: splitting (16322) gives:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | |   (16323)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.20  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.20  | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.20  | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | ALPHA: (16323) implies:
% 191.55/30.20  | | | | | | | | | | | | | | | |   (16324)  op(e2, e0) = e2
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16300), (16324), (function-axioms) are
% 191.55/30.20  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | |   (16325)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.20  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.55/30.20  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.55/30.20  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.55/30.20  | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.55/30.20  | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.55/30.20  | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.55/30.20  | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.55/30.20  | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.55/30.20  | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.55/30.20  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.55/30.20  | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.55/30.20  | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.20  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.55/30.20  | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.20  | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.55/30.20  | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.55/30.20  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.55/30.20  | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.55/30.20  | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.55/30.20  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.55/30.20  | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.55/30.20  | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.55/30.20  | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | BETA: splitting (16325) gives:
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | |   (16326)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.20  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.55/30.20  | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | ALPHA: (16326) implies:
% 191.55/30.20  | | | | | | | | | | | | | | | | |   (16327)  op(e1, e0) = e1
% 191.55/30.20  | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15907), (16327), (function-axioms) are
% 191.55/30.20  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 191.55/30.20  | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | |   (16328)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.20  | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.20  | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.20  | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.20  | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.55/30.20  | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.55/30.20  | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.20  | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.55/30.20  | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.55/30.20  | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.55/30.20  | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.55/30.20  | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.55/30.20  | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.55/30.20  | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.55/30.20  | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.55/30.20  | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.55/30.20  | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | ALPHA: (16328) implies:
% 191.55/30.20  | | | | | | | | | | | | | | | | |   (16329)  op(e0, e0) = all_57_15
% 191.55/30.20  | | | | | | | | | | | | | | | | |   (16330)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.20  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.20  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.55/30.20  | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.55/30.20  | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.55/30.20  | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.20  | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.20  | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.20  | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.20  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.20  | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.55/30.20  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.55/30.20  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.55/30.20  | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.20  | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.55/30.20  | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.55/30.20  | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | BETA: splitting (16330) gives:
% 191.55/30.20  | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | |   (16331)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.20  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.55/30.20  | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.55/30.20  | | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (159), (373), (13169), (13173),
% 191.55/30.20  | | | | | | | | | | | | | | | | | |            (16331), (function-axioms) are inconsistent by
% 191.55/30.20  | | | | | | | | | | | | | | | | | |            sub-proof #403.
% 191.55/30.20  | | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | |   (16332)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.20  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.55/30.20  | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.55/30.20  | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.55/30.20  | | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (159), (13169), (13173),
% 191.55/30.20  | | | | | | | | | | | | | | | | | |            (15908), (16288), (16329), (16330), (16332),
% 191.55/30.20  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.20  | | | | | | | | | | | | | | | | | |            #276.
% 191.55/30.20  | | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | |   (16333)  all_54_5 = e1 | all_54_5 = e0
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | REF_CLOSE: (268), (16290), (16292), (16333) are inconsistent
% 191.55/30.20  | | | | | | | | | | | |            by sub-proof #1941.
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | End of split
% 191.55/30.20  | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | |   (16334)  all_32_2 = e0
% 191.55/30.20  | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | COMBINE_EQS: (314), (16334) imply:
% 191.55/30.20  | | | | | | | | | |   (16335)  all_4_2 = e0
% 191.55/30.20  | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | REDUCE: (356), (16335) imply:
% 191.55/30.20  | | | | | | | | | |   (16336)   ~ (all_52_7 = e0)
% 191.55/30.20  | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | REDUCE: (373), (16335) imply:
% 191.55/30.20  | | | | | | | | | |   (16337)   ~ (e3 = e0)
% 191.55/30.20  | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | REDUCE: (16290), (16335) imply:
% 191.55/30.20  | | | | | | | | | |   (16338)   ~ (e1 = e0)
% 191.55/30.20  | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | REDUCE: (36), (16335) imply:
% 191.55/30.20  | | | | | | | | | |   (16339)  op(e2, e2) = e0
% 191.55/30.20  | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | BETA: splitting (213) gives:
% 191.55/30.20  | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | |   (16340)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 191.55/30.20  | | | | | | | | | | |              & op(e1, e2) = e0)
% 191.55/30.20  | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (226),
% 191.55/30.20  | | | | | | | | | | |            (227), (228), (373), (13168), (16339), (16340),
% 191.55/30.20  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.20  | | | | | | | | | | |            #316.
% 191.55/30.20  | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | |   (16341)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 191.55/30.20  | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.55/30.20  | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | BETA: splitting (16341) gives:
% 191.55/30.20  | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | |   (16342)  all_56_8 = e0 & op(e1, e1) = e0
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | ALPHA: (16342) implies:
% 191.55/30.20  | | | | | | | | | | | |   (16343)  op(e1, e1) = e0
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | REF_CLOSE: (7), (16288), (16343), (function-axioms) are
% 191.55/30.20  | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | |   (16344)  all_56_11 = e0 & op(e1, e0) = e0
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | ALPHA: (16344) implies:
% 191.55/30.20  | | | | | | | | | | | |   (16345)  op(e1, e0) = e0
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | BETA: splitting (206) gives:
% 191.55/30.20  | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | |   (16346)  all_56_15 = e0 & op(e0, e0) = e0
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | ALPHA: (16346) implies:
% 191.55/30.20  | | | | | | | | | | | | |   (16347)  op(e0, e0) = e0
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | REF_CLOSE: (4), (15908), (16347), (function-axioms) are
% 191.55/30.20  | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | |   (16348)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.55/30.20  | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.55/30.20  | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 191.55/30.20  | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.55/30.20  | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | ALPHA: (16348) implies:
% 191.55/30.20  | | | | | | | | | | | | |   (16349)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 191.55/30.20  | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 191.55/30.20  | | | | | | | | | | | | |                e1) = e0)
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | BETA: splitting (16349) gives:
% 191.55/30.20  | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | |   (16350)  all_56_12 = e0 & op(e0, e3) = e0
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | ALPHA: (16350) implies:
% 191.55/30.20  | | | | | | | | | | | | | |   (16351)  op(e0, e3) = e0
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (16351), (function-axioms) are
% 191.55/30.20  | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | |   (16352)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 191.55/30.20  | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | BETA: splitting (16352) gives:
% 191.55/30.20  | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | |   (16353)  all_56_13 = e0 & op(e0, e2) = e0
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | ALPHA: (16353) implies:
% 191.55/30.20  | | | | | | | | | | | | | | |   (16354)  op(e0, e2) = e0
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | REF_CLOSE: (158), (16336), (16354), (function-axioms) are
% 191.55/30.20  | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | Case 2:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | |   (16355)  all_56_14 = e0 & op(e0, e1) = e0
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | ALPHA: (16355) implies:
% 191.55/30.20  | | | | | | | | | | | | | | |   (16356)  op(e0, e1) = e0
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.55/30.20  | | | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (16356) gives:
% 191.55/30.20  | | | | | | | | | | | | | | |   (16357)  all_52_11 = e0
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 191.55/30.20  | | | | | | | | | | | | | | |              e0, e0, e1, simplifying with (160), (16345) gives:
% 191.55/30.20  | | | | | | | | | | | | | | |   (16358)  all_52_14 = e0
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.55/30.20  | | | | | | | | | | | | | | | 
% 191.55/30.20  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.20  | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | |   (16359)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.21  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.21  | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.21  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.21  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.55/30.21  | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.55/30.21  | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.55/30.21  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.55/30.21  | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.55/30.21  | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.55/30.21  | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.55/30.21  | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.55/30.21  | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.21  | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | BETA: splitting (16359) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | |   (16360)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.21  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.21  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.21  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | BETA: splitting (16360) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | |   (16361)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.21  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | BETA: splitting (16361) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16362)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | ALPHA: (16362) implies:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16363)   ~ (all_57_1 = e1)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16364)  op(e1, e3) = all_57_1
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16365)  op(e2, e3) = e2
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              all_57_1, e3, e1, simplifying with (163), (16364)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16366)  all_57_1 = all_52_2
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (16365) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16367)  all_52_1 = e2
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | REDUCE: (16363), (16366) imply:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16368)   ~ (all_52_2 = e1)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | REDUCE: (149), (16367) imply:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16369)   ~ (all_52_2 = e2)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | SIMP: (16369) implies:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16370)   ~ (all_52_2 = e2)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (196), (259), (16285), (16345),
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            (16368), (16370), (function-axioms) are
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #678.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16371)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | ALPHA: (16371) implies:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16372)  op(e0, e0) = e3
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15908), (16372), (function-axioms) are
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | |   (16373)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (16288), (16373), (function-axioms)
% 191.55/30.21  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #733.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | |   (16374)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.55/30.21  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.21  | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.55/30.21  | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.55/30.21  | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | BETA: splitting (16374) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | |   (16375)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15908), (16288), (16375),
% 191.55/30.21  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.21  | | | | | | | | | | | | | | | | | |            #882.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | |   (16376)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | BETA: splitting (16376) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16377)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | ALPHA: (16377) implies:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16378)  op(e3, e3) = e2
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (16378), (function-axioms) are
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16379)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15908), (16339), (16379),
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            #922.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | |   (16380)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.21  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.21  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.21  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.21  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.21  | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.21  | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.21  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.55/30.21  | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.55/30.21  | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.55/30.21  | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.55/30.21  | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.55/30.21  | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.55/30.21  | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.21  | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.21  | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.21  | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.21  | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.21  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.21  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.21  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.21  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.21  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.21  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.21  | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | BETA: splitting (16380) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | |   (16381)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.21  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.21  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (15911), (16356), (16381),
% 191.55/30.21  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.21  | | | | | | | | | | | | | | | | |            #285.
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | |   (16382)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.21  | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.21  | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.21  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.55/30.21  | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.55/30.21  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.55/30.21  | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.21  | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.55/30.21  | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.21  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.21  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.21  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.21  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | BETA: splitting (16382) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | |   (16383)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.21  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15907), (16339), (16383),
% 191.55/30.21  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.21  | | | | | | | | | | | | | | | | | |            #284.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | |   (16384)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | BETA: splitting (16384) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16385)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | ALPHA: (16385) implies:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16386)  op(e1, e1) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16288), (16386), (function-axioms) are
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |   (16387)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.55/30.21  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | BETA: splitting (16387) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |   (16388)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | ALPHA: (16388) implies:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |   (16389)  op(e1, e0) = e1
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15907), (16389), (function-axioms) are
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |   (16390)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | ALPHA: (16390) implies:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |   (16391)  op(e0, e0) = all_57_15
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |   (16392)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16392) gives:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |   (16393)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (159), (373), (13169), (13173),
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |            (16393), (function-axioms) are inconsistent by
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |            sub-proof #403.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |   (16394)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (159), (13169), (13173),
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |            (15908), (16288), (16391), (16392), (16394),
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | |            #276.
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | 
% 191.55/30.21  | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | 
% 191.55/30.21  | | | | | | | | |   (16395)  all_24_2 = e1
% 191.55/30.21  | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | COMBINE_EQS: (318), (16395) imply:
% 191.55/30.21  | | | | | | | | |   (16396)  all_4_2 = e1
% 191.55/30.21  | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | SIMP: (16396) implies:
% 191.55/30.21  | | | | | | | | |   (16397)  all_4_2 = e1
% 191.55/30.21  | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | REDUCE: (352), (16397) imply:
% 191.55/30.21  | | | | | | | | |   (16398)   ~ (all_52_4 = e1)
% 191.55/30.21  | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | REDUCE: (354), (16397) imply:
% 191.55/30.21  | | | | | | | | |   (16399)   ~ (all_52_6 = e1)
% 191.55/30.21  | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | REDUCE: (373), (16397) imply:
% 191.55/30.21  | | | | | | | | |   (16400)   ~ (e3 = e1)
% 191.55/30.21  | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | REDUCE: (36), (16397) imply:
% 191.55/30.21  | | | | | | | | |   (16401)  op(e2, e2) = e1
% 191.55/30.21  | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | BETA: splitting (231) gives:
% 191.55/30.21  | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | |   (16402)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 191.55/30.21  | | | | | | | | | |              & op(e2, e3) = e1)
% 191.55/30.21  | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | BETA: splitting (16402) gives:
% 191.55/30.21  | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | |   (16403)  all_56_0 = e1 & op(e3, e3) = e1
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | ALPHA: (16403) implies:
% 191.55/30.21  | | | | | | | | | | |   (16404)  op(e3, e3) = e1
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | REF_CLOSE: (4), (13173), (16404), (function-axioms) are
% 191.55/30.21  | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | |   (16405)  all_56_2 = e1 & op(e2, e3) = e1
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | ALPHA: (16405) implies:
% 191.55/30.21  | | | | | | | | | | |   (16406)  all_56_2 = e1
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | BETA: splitting (235) gives:
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | |   (16407)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 191.55/30.21  | | | | | | | | | | | |              & op(e2, e3) = e3)
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | REF_CLOSE: (7), (8), (13173), (16406), (16407),
% 191.55/30.21  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.21  | | | | | | | | | | | |            #309.
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | |   (16408)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 191.55/30.21  | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | BETA: splitting (16408) gives:
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | |   (16409)  all_56_6 = e3 & op(e1, e3) = e3
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | ALPHA: (16409) implies:
% 191.55/30.21  | | | | | | | | | | | | |   (16410)  op(e1, e3) = e3
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | REF_CLOSE: (163), (16285), (16410), (function-axioms) are
% 191.55/30.21  | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | |   (16411)  all_56_12 = e3 & op(e0, e3) = e3
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | ALPHA: (16411) implies:
% 191.55/30.21  | | | | | | | | | | | | |   (16412)  all_56_12 = e3
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | BETA: splitting (214) gives:
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | |   (16413)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 191.55/30.21  | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 191.55/30.21  | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | BETA: splitting (16413) gives:
% 191.55/30.21  | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | |   (16414)  all_56_6 = e1 & op(e1, e3) = e1
% 191.55/30.21  | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | ALPHA: (16414) implies:
% 191.55/30.21  | | | | | | | | | | | | | | |   (16415)  all_56_6 = e1
% 191.55/30.21  | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (16406),
% 191.55/30.21  | | | | | | | | | | | | | | |            (16412), (16415) are inconsistent by sub-proof
% 191.55/30.21  | | | | | | | | | | | | | | |            #275.
% 191.55/30.21  | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | |   (16416)  all_56_7 = e1 & op(e1, e2) = e1
% 191.55/30.21  | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | ALPHA: (16416) implies:
% 191.55/30.21  | | | | | | | | | | | | | | |   (16417)  op(e1, e2) = e1
% 191.55/30.21  | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | | REF_CLOSE: (162), (16399), (16417), (function-axioms) are
% 191.55/30.21  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 191.55/30.21  | | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | |   (16418)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 191.55/30.21  | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 191.55/30.21  | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (15907), (16288), (16418),
% 191.55/30.21  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.21  | | | | | | | | | | | | | |            #1770.
% 191.55/30.21  | | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | End of split
% 191.55/30.21  | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | |   (16419)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 191.55/30.21  | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 191.55/30.21  | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | BETA: splitting (16419) gives:
% 191.55/30.21  | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | |   (16420)  all_56_6 = e1 & op(e1, e3) = e1
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | ALPHA: (16420) implies:
% 191.55/30.21  | | | | | | | | | | |   (16421)  op(e1, e3) = e1
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | BETA: splitting (232) gives:
% 191.55/30.21  | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | |   (16422)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 191.55/30.21  | | | | | | | | | | | |              & op(e3, e2) = e1)
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | REF_CLOSE: (4), (170), (13173), (16398), (16422),
% 191.55/30.21  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.21  | | | | | | | | | | | |            #305.
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | Case 2:
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | |   (16423)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 191.55/30.21  | | | | | | | | | | | |              & op(e3, e0) = e1)
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | BETA: splitting (16423) gives:
% 191.55/30.21  | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | |   (16424)  all_56_4 = e1 & op(e3, e1) = e1
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | ALPHA: (16424) implies:
% 191.55/30.21  | | | | | | | | | | | | |   (16425)  all_56_4 = e1
% 191.55/30.21  | | | | | | | | | | | | |   (16426)  op(e3, e1) = e1
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 191.55/30.21  | | | | | | | | | | | | |              e3, e1, simplifying with (163), (16421) gives:
% 191.55/30.21  | | | | | | | | | | | | |   (16427)  all_52_2 = e1
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 191.55/30.21  | | | | | | | | | | | | |              e1, e3, simplifying with (169), (16426) gives:
% 191.55/30.21  | | | | | | | | | | | | |   (16428)  all_52_8 = e1
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | REDUCE: (149), (16427) imply:
% 191.55/30.21  | | | | | | | | | | | | |   (16429)   ~ (all_52_1 = e1)
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | REDUCE: (143), (16427) imply:
% 191.55/30.21  | | | | | | | | | | | | |   (16430)   ~ (all_52_6 = e1)
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | REDUCE: (141), (16427) imply:
% 191.55/30.21  | | | | | | | | | | | | |   (16431)   ~ (all_52_14 = e1)
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | REDUCE: (121), (16428) imply:
% 191.55/30.21  | | | | | | | | | | | | |   (16432)   ~ (all_52_11 = e1)
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | REDUCE: (120), (16428) imply:
% 191.55/30.21  | | | | | | | | | | | | |   (16433)   ~ (all_52_12 = e1)
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | BETA: splitting (76) gives:
% 191.55/30.21  | | | | | | | | | | | | | 
% 191.55/30.21  | | | | | | | | | | | | | Case 1:
% 191.55/30.21  | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | |   (16434)   ~ (all_30_2 = e3)
% 191.55/30.22  | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | REDUCE: (16284), (16434) imply:
% 191.55/30.22  | | | | | | | | | | | | | |   (16435)  $false
% 191.55/30.22  | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | CLOSE: (16435) is inconsistent.
% 191.55/30.22  | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | Case 2:
% 191.55/30.22  | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | |   (16436)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 191.55/30.22  | | | | | | | | | | | | | |              & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 191.55/30.22  | | | | | | | | | | | | | |              $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 191.55/30.22  | | | | | | | | | | | | | |              = all_30_1 & $i(all_30_1))
% 191.55/30.22  | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | BETA: splitting (16436) gives:
% 191.55/30.22  | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | Case 1:
% 191.55/30.22  | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | |   (16437)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 191.55/30.22  | | | | | | | | | | | | | | |            op(e1, e3) = all_30_1 & $i(all_30_0) &
% 191.55/30.22  | | | | | | | | | | | | | | |            $i(all_30_1)
% 191.55/30.22  | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | ALPHA: (16437) implies:
% 191.55/30.22  | | | | | | | | | | | | | | |   (16438)  op(e1, e3) = all_30_1
% 191.55/30.22  | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | BETA: splitting (16281) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.22  | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | |   (16439)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 191.55/30.22  | | | | | | | | | | | | | | | |            op(e1, e3) = all_20_1 & $i(all_20_0) &
% 191.55/30.22  | | | | | | | | | | | | | | | |            $i(all_20_1)
% 191.55/30.22  | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | ALPHA: (16439) implies:
% 191.55/30.22  | | | | | | | | | | | | | | | |   (16440)  op(e1, e3) = all_20_1
% 191.55/30.22  | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | |   (16441)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.22  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.22  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.22  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.55/30.22  | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.55/30.22  | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.55/30.22  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.55/30.22  | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (162), (15908), (16288), (16399),
% 191.55/30.22  | | | | | | | | | | | | | | | | |            (16401), (16421), (16426), (16441),
% 191.55/30.22  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.22  | | | | | | | | | | | | | | | | |            #274.
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | |   (16442)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.55/30.22  | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.55/30.22  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.55/30.22  | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.55/30.22  | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.22  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.22  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | BETA: splitting (16442) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | |   (16443)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (16401), (16426), (16443),
% 191.55/30.22  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.22  | | | | | | | | | | | | | | | | | |            #279.
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | |   (16444)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.22  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | BETA: splitting (16444) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |   (16445)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | BETA: splitting (16445) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16446)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | ALPHA: (16446) implies:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16447)   ~ (all_57_12 = e0)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16448)   ~ (all_57_9 = e3)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16449)  op(e2, e0) = e2
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16450)  op(e2, e2) = all_57_12
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16451)  op(e3, e0) = all_57_9
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_30_1,
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (16421), (16438) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16452)  all_30_1 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e1, simplifying with (16438),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              (16440) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16453)  all_30_1 = all_20_1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (16449) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16454)  all_52_13 = e2
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              all_57_12, e2, e2, simplifying with (16401),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              (16450) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16455)  all_57_12 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              all_57_9, e0, e3, simplifying with (168), (16451)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16456)  all_57_9 = all_52_12
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16452), (16453) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16457)  all_20_1 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | SIMP: (16457) implies:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16458)  all_20_1 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (16448), (16456) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16459)   ~ (all_52_12 = e3)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16454) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16460)   ~ (all_52_1 = e2)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (16454) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16461)   ~ (all_52_9 = e2)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16454) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16462)   ~ (all_52_12 = e2)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (149), (157), (163),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (165), (167), (169), (200), (206), (207), (209),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (229), (230), (231), (232),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (233), (234), (235), (236), (269), (13167),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (13168), (13173), (15904), (15905), (15908),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (16286), (16288), (16425), (16426), (16429),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (16438), (16440), (16451), (16456), (16458),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (16459), (16460), (16461), (16462),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            #271.
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16463)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | ALPHA: (16463) implies:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16464)  op(e1, e0) = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15907), (16464), (function-axioms) are
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |   (16465)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (159), (160), (13169),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |            (13173), (15907), (15908), (16288), (16401),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |            (16465), (function-axioms) are inconsistent by
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |            sub-proof #270.
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | End of split
% 191.55/30.22  | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.22  | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | |   (16466)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 191.55/30.22  | | | | | | | | | | | | | | | |            $i(all_20_1)
% 191.55/30.22  | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | ALPHA: (16466) implies:
% 191.55/30.22  | | | | | | | | | | | | | | | |   (16467)   ~ (all_20_1 = e2)
% 191.55/30.22  | | | | | | | | | | | | | | | |   (16468)  op(e1, e3) = all_20_1
% 191.55/30.22  | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | |   (16469)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.22  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.22  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.22  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.55/30.22  | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.55/30.22  | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.55/30.22  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.55/30.22  | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (162), (15908), (16288), (16399),
% 191.55/30.22  | | | | | | | | | | | | | | | | |            (16401), (16421), (16426), (16469),
% 191.55/30.22  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.22  | | | | | | | | | | | | | | | | |            #274.
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | |   (16470)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.55/30.22  | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.55/30.22  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.55/30.22  | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.55/30.22  | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.22  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.22  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | BETA: splitting (16470) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | |   (16471)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (16401), (16426), (16471),
% 191.55/30.22  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.22  | | | | | | | | | | | | | | | | | |            #279.
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | |   (16472)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.22  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | BETA: splitting (16472) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |   (16473)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | BETA: splitting (16473) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16474)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | ALPHA: (16474) implies:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16475)   ~ (all_57_12 = e0)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16476)   ~ (all_57_9 = e3)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16477)  op(e2, e0) = e2
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16478)  op(e2, e2) = all_57_12
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16479)  op(e3, e0) = all_57_9
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_30_1,
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (16421), (16438) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16480)  all_30_1 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e1, simplifying with (16438),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              (16468) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16481)  all_30_1 = all_20_1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (16477) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16482)  all_52_13 = e2
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              all_57_12, e2, e2, simplifying with (16401),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              (16478) gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16483)  all_57_12 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              all_57_9, e0, e3, simplifying with (168), (16479)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16484)  all_57_9 = all_52_12
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16480), (16481) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16485)  all_20_1 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | SIMP: (16485) implies:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16486)  all_20_1 = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (16476), (16484) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16487)   ~ (all_52_12 = e3)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16482) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16488)   ~ (all_52_1 = e2)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (16482) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16489)   ~ (all_52_9 = e2)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16482) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16490)   ~ (all_52_12 = e2)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (16467), (16486) imply:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16491)   ~ (e2 = e1)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (149), (157), (163),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (165), (167), (169), (200), (206), (207), (209),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (229), (230), (231), (232),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (233), (234), (235), (236), (269), (13167),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (13168), (13173), (15904), (15905), (15908),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (16286), (16288), (16425), (16426), (16429),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (16438), (16468), (16479), (16484), (16486),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (16487), (16488), (16489), (16490),
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            #271.
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16492)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | ALPHA: (16492) implies:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |   (16493)  op(e1, e0) = e1
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15907), (16493), (function-axioms) are
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.22  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |   (16494)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.22  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (159), (160), (13169),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |            (13173), (15907), (15908), (16288), (16401),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |            (16494), (function-axioms) are inconsistent by
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |            sub-proof #270.
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | End of split
% 191.55/30.23  | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | End of split
% 191.55/30.23  | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | |   (16495)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 191.55/30.23  | | | | | | | | | | | | | | |            $i(all_30_1)
% 191.55/30.23  | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | ALPHA: (16495) implies:
% 191.55/30.23  | | | | | | | | | | | | | | |   (16496)   ~ (all_30_1 = e0)
% 191.55/30.23  | | | | | | | | | | | | | | |   (16497)  op(e1, e3) = all_30_1
% 191.55/30.23  | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | BETA: splitting (16281) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.23  | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | |   (16498)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 191.55/30.23  | | | | | | | | | | | | | | | |            op(e1, e3) = all_20_1 & $i(all_20_0) &
% 191.55/30.23  | | | | | | | | | | | | | | | |            $i(all_20_1)
% 191.55/30.23  | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | ALPHA: (16498) implies:
% 191.55/30.23  | | | | | | | | | | | | | | | |   (16499)  op(e1, e3) = all_20_1
% 191.55/30.23  | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | |   (16500)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.23  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.23  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.23  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.55/30.23  | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.55/30.23  | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.55/30.23  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.55/30.23  | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (162), (15908), (16288), (16399),
% 191.55/30.23  | | | | | | | | | | | | | | | | |            (16401), (16421), (16426), (16500),
% 191.55/30.23  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.23  | | | | | | | | | | | | | | | | |            #274.
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | |   (16501)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.55/30.23  | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.55/30.23  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.55/30.23  | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.55/30.23  | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.23  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.23  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | BETA: splitting (16501) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | |   (16502)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (16401), (16426), (16502),
% 191.55/30.23  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.23  | | | | | | | | | | | | | | | | | |            #279.
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | |   (16503)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.23  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | BETA: splitting (16503) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |   (16504)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | BETA: splitting (16504) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16505)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | ALPHA: (16505) implies:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16506)   ~ (all_57_9 = e3)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16507)  op(e2, e0) = e2
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16508)  op(e3, e0) = all_57_9
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_30_1,
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (16421), (16497) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16509)  all_30_1 = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e1, simplifying with (16497),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              (16499) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16510)  all_30_1 = all_20_1
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (16507) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16511)  all_52_13 = e2
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              all_57_9, e0, e3, simplifying with (168), (16508)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16512)  all_57_9 = all_52_12
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16509), (16510) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16513)  all_20_1 = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | SIMP: (16513) implies:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16514)  all_20_1 = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (16506), (16512) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16515)   ~ (all_52_12 = e3)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16511) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16516)   ~ (all_52_1 = e2)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (16511) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16517)   ~ (all_52_9 = e2)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16511) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16518)   ~ (all_52_12 = e2)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (149), (157), (163),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (165), (167), (169), (200), (206), (207), (209),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (229), (230), (231), (232),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (233), (234), (235), (236), (269), (13167),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (13168), (13173), (15904), (15905), (15908),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (16286), (16288), (16425), (16426), (16429),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (16497), (16499), (16508), (16512), (16514),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (16515), (16516), (16517), (16518),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            #271.
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16519)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | ALPHA: (16519) implies:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16520)  op(e1, e0) = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15907), (16520), (function-axioms) are
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |   (16521)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (159), (160), (13169),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |            (13173), (15907), (15908), (16288), (16401),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |            (16521), (function-axioms) are inconsistent by
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |            sub-proof #270.
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | End of split
% 191.55/30.23  | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | |   (16522)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 191.55/30.23  | | | | | | | | | | | | | | | |            $i(all_20_1)
% 191.55/30.23  | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | ALPHA: (16522) implies:
% 191.55/30.23  | | | | | | | | | | | | | | | |   (16523)   ~ (all_20_1 = e2)
% 191.55/30.23  | | | | | | | | | | | | | | | |   (16524)  op(e1, e3) = all_20_1
% 191.55/30.23  | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | |   (16525)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.23  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.23  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.23  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.55/30.23  | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.55/30.23  | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.55/30.23  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.55/30.23  | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (162), (15908), (16288), (16399),
% 191.55/30.23  | | | | | | | | | | | | | | | | |            (16401), (16421), (16426), (16525),
% 191.55/30.23  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.23  | | | | | | | | | | | | | | | | |            #274.
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | |   (16526)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.55/30.23  | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.55/30.23  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.55/30.23  | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.55/30.23  | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.23  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.23  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | BETA: splitting (16526) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | |   (16527)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (16401), (16426), (16527),
% 191.55/30.23  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.23  | | | | | | | | | | | | | | | | | |            #279.
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | |   (16528)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.23  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | BETA: splitting (16528) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |   (16529)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | BETA: splitting (16529) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16530)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | ALPHA: (16530) implies:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16531)   ~ (all_57_9 = e3)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16532)  op(e2, e0) = e2
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16533)  op(e3, e0) = all_57_9
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_30_1,
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (16421), (16497) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16534)  all_30_1 = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e1, simplifying with (16497),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              (16524) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16535)  all_30_1 = all_20_1
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (16532) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16536)  all_52_13 = e2
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              all_57_9, e0, e3, simplifying with (168), (16533)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16537)  all_57_9 = all_52_12
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16534), (16535) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16538)  all_20_1 = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | SIMP: (16538) implies:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16539)  all_20_1 = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (16531), (16537) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16540)   ~ (all_52_12 = e3)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16536) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16541)   ~ (all_52_1 = e2)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (16536) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16542)   ~ (all_52_9 = e2)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16536) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16543)   ~ (all_52_12 = e2)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (16523), (16539) imply:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16544)   ~ (e2 = e1)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (149), (157), (163),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (165), (167), (169), (200), (206), (207), (209),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (229), (230), (231), (232),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (233), (234), (235), (236), (269), (13167),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (13168), (13173), (15904), (15905), (15908),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (16286), (16288), (16425), (16426), (16429),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (16497), (16524), (16533), (16537), (16539),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (16540), (16541), (16542), (16543),
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            #271.
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16545)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | ALPHA: (16545) implies:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16546)  op(e1, e0) = e1
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15907), (16546), (function-axioms) are
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |   (16547)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | BETA: splitting (16547) gives:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16548)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | ALPHA: (16548) implies:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |   (16549)  op(e1, e1) = e0
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16288), (16549), (function-axioms) are
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.23  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16550)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16550) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |   (16551)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16551) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |   (16552)  op(e1, e0) = e1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15907), (16552), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |   (16553)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16553) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |   (16554)  op(e0, e0) = all_57_15
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |   (16555)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (159), (13169), (13173),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            (15908), (16288), (16401), (16554), (16555),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            #277.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | |   (16556)  all_56_9 = e1 & op(e3, e0) = e1
% 191.55/30.24  | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | ALPHA: (16556) implies:
% 191.55/30.24  | | | | | | | | | | | | |   (16557)  op(e3, e0) = e1
% 191.55/30.24  | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | REF_CLOSE: (168), (15905), (16557), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 191.55/30.24  | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | |   (16558)  all_56_12 = e1 & op(e0, e3) = e1
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | ALPHA: (16558) implies:
% 191.55/30.24  | | | | | | | | | | |   (16559)  op(e0, e3) = e1
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | REF_CLOSE: (159), (15903), (16559), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | 
% 191.55/30.24  | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | 
% 191.55/30.24  | | | | | | | End of split
% 191.55/30.24  | | | | | | | 
% 191.55/30.24  | | | | | | End of split
% 191.55/30.24  | | | | | | 
% 191.55/30.24  | | | | | End of split
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | Case 2:
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | |   (16560)  all_10_2 = e2
% 191.55/30.24  | | | | |   (16561)  ( ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 & op(e1,
% 191.55/30.24  | | | | |                e2) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~
% 191.55/30.24  | | | | |              (all_10_1 = e0) & op(e1, e2) = all_10_1 & $i(all_10_1))
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | | COMBINE_EQS: (332), (16560) imply:
% 191.55/30.24  | | | | |   (16562)  all_34_2 = e2
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | | REDUCE: (350), (16560) imply:
% 191.55/30.24  | | | | |   (16563)   ~ (all_52_2 = e2)
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | | REDUCE: (361), (16560) imply:
% 191.55/30.24  | | | | |   (16564)   ~ (all_52_6 = e2)
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | | REDUCE: (363), (16560) imply:
% 191.55/30.24  | | | | |   (16565)   ~ (all_52_8 = e2)
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | | REDUCE: (364), (16560) imply:
% 191.55/30.24  | | | | |   (16566)   ~ (all_52_9 = e2)
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | | REDUCE: (366), (16560) imply:
% 191.55/30.24  | | | | |   (16567)   ~ (all_52_11 = e2)
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | | REDUCE: (368), (16560) imply:
% 191.55/30.24  | | | | |   (16568)   ~ (all_52_14 = e2)
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | | REDUCE: (45), (16560) imply:
% 191.55/30.24  | | | | |   (16569)  op(e1, e1) = e2
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | | BETA: splitting (52) gives:
% 191.55/30.24  | | | | | 
% 191.55/30.24  | | | | | Case 1:
% 191.55/30.24  | | | | | | 
% 191.55/30.24  | | | | | |   (16570)   ~ (all_14_2 = e1)
% 191.55/30.24  | | | | | | 
% 191.55/30.24  | | | | | | BETA: splitting (58) gives:
% 191.55/30.24  | | | | | | 
% 191.55/30.24  | | | | | | Case 1:
% 191.55/30.24  | | | | | | | 
% 191.55/30.24  | | | | | | |   (16571)   ~ (all_18_2 = e3)
% 191.55/30.24  | | | | | | | 
% 191.55/30.24  | | | | | | | REDUCE: (301), (16571) imply:
% 191.55/30.24  | | | | | | |   (16572)   ~ (all_14_2 = e3)
% 191.55/30.24  | | | | | | | 
% 191.55/30.24  | | | | | | | BETA: splitting (67) gives:
% 191.55/30.24  | | | | | | | 
% 191.55/30.24  | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | 
% 191.55/30.24  | | | | | | | |   (16573)   ~ (all_24_2 = e1)
% 191.55/30.24  | | | | | | | | 
% 191.55/30.24  | | | | | | | | REDUCE: (318), (16573) imply:
% 191.55/30.24  | | | | | | | |   (16574)   ~ (all_4_2 = e1)
% 191.55/30.24  | | | | | | | | 
% 191.55/30.24  | | | | | | | | BETA: splitting (73) gives:
% 191.55/30.24  | | | | | | | | 
% 191.55/30.24  | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | 
% 191.55/30.24  | | | | | | | | |   (16575)   ~ (all_28_2 = e2)
% 191.55/30.24  | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | REDUCE: (330), (16575) imply:
% 191.55/30.24  | | | | | | | | |   (16576)   ~ (all_14_2 = e2)
% 191.55/30.24  | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | BETA: splitting (189) gives:
% 191.55/30.24  | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | |   (16577)  all_54_15 = e3
% 191.55/30.24  | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | COMBINE_EQS: (246), (16577) imply:
% 191.55/30.24  | | | | | | | | | |   (16578)  all_14_2 = e3
% 191.55/30.24  | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | REDUCE: (16572), (16578) imply:
% 191.55/30.24  | | | | | | | | | |   (16579)  $false
% 191.55/30.24  | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | CLOSE: (16579) is inconsistent.
% 191.55/30.24  | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | |   (16580)   ~ (all_54_15 = e3)
% 191.55/30.24  | | | | | | | | | |   (16581)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 191.55/30.24  | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | BETA: splitting (16581) gives:
% 191.55/30.24  | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | |   (16582)  all_54_15 = e2
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | COMBINE_EQS: (246), (16582) imply:
% 191.55/30.24  | | | | | | | | | | |   (16583)  all_14_2 = e2
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | REDUCE: (16576), (16583) imply:
% 191.55/30.24  | | | | | | | | | | |   (16584)  $false
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | CLOSE: (16584) is inconsistent.
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | |   (16585)   ~ (all_54_15 = e2)
% 191.55/30.24  | | | | | | | | | | |   (16586)  all_54_15 = e1 | all_54_15 = e0
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | BETA: splitting (16586) gives:
% 191.55/30.24  | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | |   (16587)  all_54_15 = e1
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | COMBINE_EQS: (246), (16587) imply:
% 191.55/30.24  | | | | | | | | | | | |   (16588)  all_14_2 = e1
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | REDUCE: (16570), (16588) imply:
% 191.55/30.24  | | | | | | | | | | | |   (16589)  $false
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | CLOSE: (16589) is inconsistent.
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | |   (16590)  all_54_15 = e0
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | COMBINE_EQS: (246), (16590) imply:
% 191.55/30.24  | | | | | | | | | | | |   (16591)  all_14_2 = e0
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | REDUCE: (369), (16591) imply:
% 191.55/30.24  | | | | | | | | | | | |   (16592)   ~ (all_52_11 = e0)
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | REDUCE: (372), (16591) imply:
% 191.55/30.24  | | | | | | | | | | | |   (16593)   ~ (all_52_14 = e0)
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | REDUCE: (16572), (16591) imply:
% 191.55/30.24  | | | | | | | | | | | |   (16594)   ~ (e3 = e0)
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | REDUCE: (16576), (16591) imply:
% 191.55/30.24  | | | | | | | | | | | |   (16595)   ~ (e2 = e0)
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | REDUCE: (16570), (16591) imply:
% 191.55/30.24  | | | | | | | | | | | |   (16596)   ~ (e1 = e0)
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | REDUCE: (51), (16591) imply:
% 191.55/30.24  | | | | | | | | | | | |   (16597)  op(e0, e0) = e0
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | BETA: splitting (213) gives:
% 191.55/30.24  | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | |   (16598)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 191.55/30.24  | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 191.55/30.24  | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | BETA: splitting (16598) gives:
% 191.55/30.24  | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | |   (16599)  all_56_6 = e0 & op(e1, e3) = e0
% 191.55/30.24  | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | REF_CLOSE: (163), (13168), (16599), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 191.55/30.24  | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | |   (16600)  all_56_7 = e0 & op(e1, e2) = e0
% 191.55/30.24  | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | ALPHA: (16600) implies:
% 191.55/30.24  | | | | | | | | | | | | | |   (16601)  all_56_7 = e0
% 191.55/30.24  | | | | | | | | | | | | | |   (16602)  op(e1, e2) = e0
% 191.55/30.24  | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 191.55/30.24  | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | |   (16603)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 191.55/30.24  | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 191.55/30.24  | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | BETA: splitting (16603) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16604)  all_56_4 = e0 & op(e3, e1) = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13171), (16604), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16605)  all_56_5 = e0 & op(e2, e1) = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | ALPHA: (16605) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16606)  all_56_5 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16607)  op(e2, e1) = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 191.55/30.24  | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (16602) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16608)  all_52_6 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 191.55/30.24  | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (16607) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16609)  all_52_9 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | REDUCE: (128), (16608) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16610)   ~ (all_52_7 = e0)
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | SIMP: (16610) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16611)   ~ (all_52_7 = e0)
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | REDUCE: (118), (16609) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16612)   ~ (all_52_11 = e0)
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | REDUCE: (117), (16609) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16613)   ~ (all_52_13 = e0)
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | SIMP: (16613) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16614)   ~ (all_52_13 = e0)
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | REDUCE: (358), (16609) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16615)   ~ (all_4_2 = e0)
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | SIMP: (16615) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | |   (16616)   ~ (all_4_2 = e0)
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | |   (16617)   ~ (all_34_2 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | REDUCE: (16562), (16617) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | |   (16618)  $false
% 191.55/30.24  | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | CLOSE: (16618) is inconsistent.
% 191.55/30.24  | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | |   (16619)  ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0
% 191.55/30.24  | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_34_1 & $i(all_34_0) &
% 191.55/30.24  | | | | | | | | | | | | | | | | |              $i(all_34_1)) | ( ~ (all_34_1 = e3) & op(e1, e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | |              = all_34_1 & $i(all_34_1))
% 191.55/30.24  | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | BETA: splitting (16619) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | |   (16620)   ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_34_1 & $i(all_34_0) &
% 191.55/30.24  | | | | | | | | | | | | | | | | | |            $i(all_34_1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | ALPHA: (16620) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | |   (16621)  op(e1, e2) = all_34_1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | |   (16622)  all_54_5 = e3
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16622) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | |   (16623)  all_4_2 = e3
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | REDUCE: (373), (16623) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | |   (16624)  $false
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | CLOSE: (16624) is inconsistent.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | |   (16625)   ~ (all_54_5 = e3)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | |   (16626)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | BETA: splitting (16626) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16627)  all_54_5 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16627) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16628)  all_4_2 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (16628) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16629)   ~ (all_52_4 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (16628) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16630)   ~ (all_52_7 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (16628) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16631)   ~ (e3 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (16628) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16632)  op(e2, e2) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |   (16633)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (13173), (16629), (16633),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            #269.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |   (16634)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16634) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | |   (16635)  all_56_4 = e2 & op(e3, e1) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16565), (16635), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | |   (16636)  all_56_9 = e2 & op(e3, e0) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16636) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | |   (16637)  op(e3, e0) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | |   (16638)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16638) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | |   (16639)  all_56_12 = e2 & op(e0, e3) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16639) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | |   (16640)  op(e0, e3) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16561) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16641)   ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_10_1 & $i(all_10_0) &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16641) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16642)   ~ (all_10_0 = e3)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16643)  op(e1, e2) = all_10_1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16644)  op(all_10_1, e1) = all_10_0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (16640) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16645)  all_52_3 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (16602), (16621) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16646)  all_34_1 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |              all_34_1, e2, e1, simplifying with (16621),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |              (16643) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16647)  all_34_1 = all_10_1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (16637) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16648)  all_52_12 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16646), (16647) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16649)  all_10_1 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16649) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16650)  all_10_1 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (16645) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16651)   ~ (all_52_1 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (16645) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16652)   ~ (all_52_7 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (16645) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16653)   ~ (all_52_11 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16648) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16654)   ~ (all_52_13 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16654) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16655)   ~ (all_52_13 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16644), (16650) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16656)  op(e0, e1) = all_10_0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13176) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16657)   ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16657) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16658)   ~ (all_8_0 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16659)  op(e3, e0) = all_8_1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16660)  op(all_8_1, e3) = all_8_0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (110), (120),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (125), (135), (145), (157), (158), (159),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (164), (165), (167), (168), (169), (170),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (191), (197), (200), (218), (219), (220),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (247), (248), (260), (269), (373), (13165),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (13167), (13169), (13173), (13176), (16565),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16566), (16567), (16569), (16592), (16597),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16606), (16611), (16614), (16630), (16632),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16637), (16642), (16651), (16655), (16656),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16658), (16659), (16660), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #255.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16661)   ~ (all_8_1 = e1) & op(e3, e0) = all_8_1 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_8_1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16661) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16662)   ~ (all_8_1 = e1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16663)  op(e3, e0) = all_8_1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (110), (120),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (125), (135), (145), (157), (158), (159),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (164), (165), (167), (168), (169), (170),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (191), (197), (200), (218), (219), (220),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (247), (248), (260), (269), (373), (13165),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (13167), (13169), (13173), (13176), (16565),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16566), (16567), (16569), (16592), (16597),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16606), (16611), (16614), (16630), (16632),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16637), (16642), (16651), (16655), (16656),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16662), (16663), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #252.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16664)   ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16602), (16621), (16664), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #251.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | |   (16665)  all_56_13 = e2 & op(e0, e2) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16665) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | |   (16666)  op(e0, e2) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16630), (16666), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | |   (16667)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (16567), (16597), (16667),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | |            #516.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16668)  all_54_5 = e1 | all_54_5 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (16574), (16616), (16668) are inconsistent
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1941.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.24  | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | |   (16669)   ~ (all_34_1 = e3) & op(e1, e2) = all_34_1 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | |            $i(all_34_1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | ALPHA: (16669) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | |   (16670)   ~ (all_34_1 = e3)
% 191.55/30.24  | | | | | | | | | | | | | | | | | |   (16671)  op(e1, e2) = all_34_1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | |   (16672)  all_54_5 = e3
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16672) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | |   (16673)  all_4_2 = e3
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | REDUCE: (373), (16673) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | |   (16674)  $false
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | CLOSE: (16674) is inconsistent.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | |   (16675)   ~ (all_54_5 = e3)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | |   (16676)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | BETA: splitting (16676) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16677)  all_54_5 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16677) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16678)  all_4_2 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (16678) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16679)   ~ (all_52_4 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (16678) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16680)   ~ (all_52_7 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (16678) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16681)   ~ (e3 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (16678) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | |   (16682)  op(e2, e2) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |   (16683)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (13173), (16679), (16683),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |            #269.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |   (16684)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16684) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | |   (16685)  all_56_4 = e2 & op(e3, e1) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16565), (16685), (function-axioms) are
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | |   (16686)  all_56_9 = e2 & op(e3, e0) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16686) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | |   (16687)  op(e3, e0) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | |   (16688)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16688) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | |   (16689)  all_56_12 = e2 & op(e0, e3) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16689) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | |   (16690)  op(e0, e3) = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16561) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16691)   ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_10_1 & $i(all_10_0) &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16691) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16692)   ~ (all_10_0 = e3)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16693)  op(e1, e2) = all_10_1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16694)  op(all_10_1, e1) = all_10_0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (16690) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16695)  all_52_3 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (16602), (16671) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16696)  all_34_1 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |              all_34_1, e2, e1, simplifying with (16671),
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |              (16693) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16697)  all_34_1 = all_10_1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (16687) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16698)  all_52_12 = e2
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16696), (16697) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16699)  all_10_1 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16699) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16700)  all_10_1 = e0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (16695) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16701)   ~ (all_52_1 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (16695) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16702)   ~ (all_52_7 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (16695) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16703)   ~ (all_52_11 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16698) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16704)   ~ (all_52_13 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16704) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16705)   ~ (all_52_13 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16694), (16700) imply:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (16706)  op(e0, e1) = all_10_0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13176) gives:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16707)   ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 &
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16707) implies:
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16708)   ~ (all_8_0 = e2)
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16709)  op(e3, e0) = all_8_1
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16710)  op(all_8_1, e3) = all_8_0
% 191.55/30.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (110), (120),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (125), (135), (145), (157), (158), (159),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (164), (165), (167), (168), (169), (170),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (191), (197), (200), (218), (219), (220),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (247), (248), (260), (269), (373), (13165),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (13167), (13169), (13173), (13176), (16565),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16566), (16567), (16569), (16592), (16597),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16606), (16611), (16614), (16680), (16682),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16687), (16692), (16701), (16705), (16706),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16708), (16709), (16710), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #255.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16711)   ~ (all_8_1 = e1) & op(e3, e0) = all_8_1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_8_1)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16711) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16712)   ~ (all_8_1 = e1)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16713)  op(e3, e0) = all_8_1
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (110), (120),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (125), (135), (145), (157), (158), (159),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (164), (165), (167), (168), (169), (170),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (191), (197), (200), (218), (219), (220),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (247), (248), (260), (269), (373), (13165),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (13167), (13169), (13173), (13176), (16565),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16566), (16567), (16569), (16592), (16597),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16606), (16611), (16614), (16680), (16682),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16687), (16692), (16701), (16705), (16706),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16712), (16713), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #252.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (16714)   ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16602), (16671), (16714), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #251.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |   (16715)  all_56_13 = e2 & op(e0, e2) = e2
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16715) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |   (16716)  op(e0, e2) = e2
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16680), (16716), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |   (16717)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (16567), (16597), (16717),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |            #516.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | |   (16718)  all_54_5 = e1 | all_54_5 = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (16574), (16616), (16718) are inconsistent
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1941.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | |   (16719)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 191.55/30.25  | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | BETA: splitting (16719) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16720)  all_56_8 = e0 & op(e1, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | ALPHA: (16720) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16721)  op(e1, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 191.55/30.25  | | | | | | | | | | | | | | | |            (216), (16563), (16601), (16721),
% 191.55/30.25  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.25  | | | | | | | | | | | | | | | |            #750.
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16722)  all_56_14 = e0 & op(e0, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | ALPHA: (16722) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16723)  op(e0, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | REF_CLOSE: (157), (16592), (16723), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | |   (16724)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 191.55/30.25  | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | BETA: splitting (16724) gives:
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | |   (16725)  all_56_8 = e0 & op(e1, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | ALPHA: (16725) implies:
% 191.55/30.25  | | | | | | | | | | | | | |   (16726)  op(e1, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | REF_CLOSE: (5), (16569), (16726), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | |   (16727)  all_56_11 = e0 & op(e1, e0) = e0
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | ALPHA: (16727) implies:
% 191.55/30.25  | | | | | | | | | | | | | |   (16728)  op(e1, e0) = e0
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | REF_CLOSE: (160), (16593), (16728), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | 
% 191.55/30.25  | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | 
% 191.55/30.25  | | | | | | | | |   (16729)  all_28_2 = e2
% 191.55/30.25  | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | COMBINE_EQS: (330), (16729) imply:
% 191.55/30.25  | | | | | | | | |   (16730)  all_14_2 = e2
% 191.55/30.25  | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | SIMP: (16730) implies:
% 191.55/30.25  | | | | | | | | |   (16731)  all_14_2 = e2
% 191.55/30.25  | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | REDUCE: (351), (16731) imply:
% 191.55/30.25  | | | | | | | | |   (16732)   ~ (all_52_3 = e2)
% 191.55/30.25  | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | REDUCE: (370), (16731) imply:
% 191.55/30.25  | | | | | | | | |   (16733)   ~ (all_52_12 = e2)
% 191.55/30.25  | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | REDUCE: (16572), (16731) imply:
% 191.55/30.25  | | | | | | | | |   (16734)   ~ (e3 = e2)
% 191.55/30.25  | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | REDUCE: (51), (16731) imply:
% 191.55/30.25  | | | | | | | | |   (16735)  op(e0, e0) = e2
% 191.55/30.25  | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | BETA: splitting (234) gives:
% 191.55/30.25  | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | |   (16736)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 191.55/30.25  | | | | | | | | | |              & op(e3, e2) = e2)
% 191.55/30.25  | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | BETA: splitting (16736) gives:
% 191.55/30.25  | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | |   (16737)  all_56_0 = e2 & op(e3, e3) = e2
% 191.55/30.25  | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | ALPHA: (16737) implies:
% 191.55/30.25  | | | | | | | | | | |   (16738)  op(e3, e3) = e2
% 191.55/30.25  | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | REF_CLOSE: (5), (13173), (16738), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | |            inconsistent by sub-proof #833.
% 191.55/30.25  | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | |   (16739)  all_56_1 = e2 & op(e3, e2) = e2
% 191.55/30.25  | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | ALPHA: (16739) implies:
% 191.55/30.25  | | | | | | | | | | |   (16740)  op(e3, e2) = e2
% 191.55/30.25  | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | BETA: splitting (233) gives:
% 191.55/30.25  | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | |   (16741)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 191.55/30.25  | | | | | | | | | | | |              & op(e2, e3) = e2)
% 191.55/30.25  | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | BETA: splitting (16741) gives:
% 191.55/30.25  | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | |   (16742)  all_56_0 = e2 & op(e3, e3) = e2
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | ALPHA: (16742) implies:
% 191.55/30.25  | | | | | | | | | | | | |   (16743)  op(e3, e3) = e2
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (16743), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | |   (16744)  all_56_2 = e2 & op(e2, e3) = e2
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | ALPHA: (16744) implies:
% 191.55/30.25  | | | | | | | | | | | | |   (16745)  op(e2, e3) = e2
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 191.55/30.25  | | | | | | | | | | | | |              e3, e2, simplifying with (167), (16745) gives:
% 191.55/30.25  | | | | | | | | | | | | |   (16746)  all_52_1 = e2
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 191.55/30.25  | | | | | | | | | | | | |              e2, e3, simplifying with (170), (16740) gives:
% 191.55/30.25  | | | | | | | | | | | | |   (16747)  all_52_4 = e2
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | REDUCE: (145), (16746) imply:
% 191.55/30.25  | | | | | | | | | | | | |   (16748)   ~ (all_52_13 = e2)
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | SIMP: (16748) implies:
% 191.55/30.25  | | | | | | | | | | | | |   (16749)   ~ (all_52_13 = e2)
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | REDUCE: (352), (16747) imply:
% 191.55/30.25  | | | | | | | | | | | | |   (16750)   ~ (all_4_2 = e2)
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | SIMP: (16750) implies:
% 191.55/30.25  | | | | | | | | | | | | |   (16751)   ~ (all_4_2 = e2)
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | BETA: splitting (199) gives:
% 191.55/30.25  | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | |   (16752)  all_54_5 = e3
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | COMBINE_EQS: (268), (16752) imply:
% 191.55/30.25  | | | | | | | | | | | | | |   (16753)  all_4_2 = e3
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | REDUCE: (373), (16753) imply:
% 191.55/30.25  | | | | | | | | | | | | | |   (16754)  $false
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | CLOSE: (16754) is inconsistent.
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | |   (16755)   ~ (all_54_5 = e3)
% 191.55/30.25  | | | | | | | | | | | | | |   (16756)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | BETA: splitting (16756) gives:
% 191.55/30.25  | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | |   (16757)  all_54_5 = e2
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16757) imply:
% 191.55/30.25  | | | | | | | | | | | | | | |   (16758)  all_4_2 = e2
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | REDUCE: (16751), (16758) imply:
% 191.55/30.25  | | | | | | | | | | | | | | |   (16759)  $false
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | CLOSE: (16759) is inconsistent.
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | |   (16760)   ~ (all_54_5 = e2)
% 191.55/30.25  | | | | | | | | | | | | | | |   (16761)  all_54_5 = e1 | all_54_5 = e0
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | BETA: splitting (16761) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16762)  all_54_5 = e1
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16762) imply:
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16763)  all_4_2 = e1
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | REDUCE: (16574), (16763) imply:
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16764)  $false
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | CLOSE: (16764) is inconsistent.
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16765)  all_54_5 = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16765) imply:
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16766)  all_4_2 = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | REDUCE: (356), (16766) imply:
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16767)   ~ (all_52_7 = e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | REDUCE: (373), (16766) imply:
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16768)   ~ (e3 = e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | REDUCE: (16751), (16766) imply:
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16769)   ~ (e2 = e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | REDUCE: (16574), (16766) imply:
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16770)   ~ (e1 = e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | REDUCE: (36), (16766) imply:
% 191.55/30.25  | | | | | | | | | | | | | | | |   (16771)  op(e2, e2) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | |   (16772)  all_56_15 = e0 & op(e0, e0) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | ALPHA: (16772) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | | |   (16773)  op(e0, e0) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16735), (16773), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 191.55/30.25  | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | |   (16774)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.55/30.25  | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.55/30.25  | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 191.55/30.25  | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.55/30.25  | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 191.55/30.25  | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | ALPHA: (16774) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | | |   (16775)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 191.55/30.25  | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 191.55/30.25  | | | | | | | | | | | | | | | | |                e1) = e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | BETA: splitting (16775) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | |   (16776)  all_56_12 = e0 & op(e0, e3) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | ALPHA: (16776) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | | | |   (16777)  op(e0, e3) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (16777), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | |   (16778)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | BETA: splitting (16778) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | |   (16779)  all_56_13 = e0 & op(e0, e2) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | ALPHA: (16779) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | |   (16780)  op(e0, e2) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16767), (16780), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | |   (16781)  all_56_14 = e0 & op(e0, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | ALPHA: (16781) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | |   (16782)  op(e0, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | |   (16783)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (226),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (13168), (16771), (16783),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | |            #316.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | |   (16784)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16784) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | |   (16785)  all_56_8 = e0 & op(e1, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16785) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | |   (16786)  op(e1, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16569), (16786), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | |   (16787)  all_56_11 = e0 & op(e1, e0) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16787) implies:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | |   (16788)  op(e1, e0) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (16782) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | |   (16789)  all_52_11 = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | |              e0, e0, e1, simplifying with (160), (16788) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | |   (16790)  all_52_14 = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (16790) imply:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | |   (16791)   ~ (all_52_6 = e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |   (16792)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16792) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |   (16793)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16793) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |   (16794)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16569), (16735), (16794), (function-axioms)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #536.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |   (16795)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (373), (16735), (16795),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |            #1591.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |   (16796)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16796) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |   (16797)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16740), (16797), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1141.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |   (16798)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (125), (157), (158), (162), (170),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |            (225), (13170), (13173), (16569), (16782),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |            (16791), (16798), (function-axioms) are
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #249.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |   (16799)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16799) gives:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |   (16800)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13173), (16735), (16800),
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | |            #368.
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.55/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |   (16801)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16801) gives:
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | |   (16802)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16802) gives:
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (16803)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16803) implies:
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (16804)  op(e2, e0) = e2
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16749), (16804), (function-axioms) are
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (16805)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16805) implies:
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (16806)  op(e1, e0) = e1
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16788), (16806), (function-axioms) are
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |   (16807)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16807) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (16808)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16808) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (16809)  op(e2, e0) = e2
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16749), (16809), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (16810)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16810) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16811)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16811) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16812)  op(e1, e0) = e1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16788), (16812), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16813)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (159), (373), (13169), (13173),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16574), (16735), (16813), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #390.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | |   (16814)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 191.64/30.26  | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | BETA: splitting (16814) gives:
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | |   (16815)  all_56_6 = e2 & op(e1, e3) = e2
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | REF_CLOSE: (163), (16563), (16815), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | |   (16816)  all_56_12 = e2 & op(e0, e3) = e2
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | REF_CLOSE: (159), (16732), (16816), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | |   (16817)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 191.64/30.26  | | | | | | | | | |              & op(e3, e0) = e2)
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | BETA: splitting (16817) gives:
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | |   (16818)  all_56_4 = e2 & op(e3, e1) = e2
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | REF_CLOSE: (169), (16565), (16818), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | |            inconsistent by sub-proof #810.
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | |   (16819)  all_56_9 = e2 & op(e3, e0) = e2
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | REF_CLOSE: (168), (16733), (16819), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | |            inconsistent by sub-proof #737.
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | 
% 191.64/30.26  | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | |   (16820)  all_24_2 = e1
% 191.64/30.26  | | | | | | | |   (16821)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 191.64/30.26  | | | | | | | |              op(e2, e1) = all_24_1 & $i(all_24_0) &
% 191.64/30.26  | | | | | | | |              $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1) =
% 191.64/30.26  | | | | | | | |              all_24_1 & $i(all_24_1))
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | COMBINE_EQS: (318), (16820) imply:
% 191.64/30.26  | | | | | | | |   (16822)  all_4_2 = e1
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | COMBINE_EQS: (292), (16822) imply:
% 191.64/30.26  | | | | | | | |   (16823)  all_44_2 = e1
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | REDUCE: (352), (16822) imply:
% 191.64/30.26  | | | | | | | |   (16824)   ~ (all_52_4 = e1)
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | REDUCE: (354), (16822) imply:
% 191.64/30.26  | | | | | | | |   (16825)   ~ (all_52_6 = e1)
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | REDUCE: (356), (16822) imply:
% 191.64/30.26  | | | | | | | |   (16826)   ~ (all_52_7 = e1)
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | REDUCE: (358), (16822) imply:
% 191.64/30.26  | | | | | | | |   (16827)   ~ (all_52_9 = e1)
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | REDUCE: (360), (16822) imply:
% 191.64/30.26  | | | | | | | |   (16828)   ~ (all_52_13 = e1)
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | REDUCE: (373), (16822) imply:
% 191.64/30.26  | | | | | | | |   (16829)   ~ (e3 = e1)
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | REDUCE: (36), (16822) imply:
% 191.64/30.26  | | | | | | | |   (16830)  op(e2, e2) = e1
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | BETA: splitting (73) gives:
% 191.64/30.26  | | | | | | | | 
% 191.64/30.26  | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | 
% 191.64/30.26  | | | | | | | | |   (16831)   ~ (all_28_2 = e2)
% 191.64/30.26  | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | REDUCE: (330), (16831) imply:
% 191.64/30.26  | | | | | | | | |   (16832)   ~ (all_14_2 = e2)
% 191.64/30.26  | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | BETA: splitting (189) gives:
% 191.64/30.26  | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | |   (16833)  all_54_15 = e3
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | REF_CLOSE: (246), (16572), (16833) are inconsistent by
% 191.64/30.26  | | | | | | | | | |            sub-proof #1675.
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | |   (16834)   ~ (all_54_15 = e3)
% 191.64/30.26  | | | | | | | | | |   (16835)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | BETA: splitting (16835) gives:
% 191.64/30.26  | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | |   (16836)  all_54_15 = e2
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | REF_CLOSE: (246), (16832), (16836) are inconsistent by
% 191.64/30.26  | | | | | | | | | | |            sub-proof #1648.
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | |   (16837)   ~ (all_54_15 = e2)
% 191.64/30.26  | | | | | | | | | | |   (16838)  all_54_15 = e1 | all_54_15 = e0
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | BETA: splitting (16838) gives:
% 191.64/30.26  | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | |   (16839)  all_54_15 = e1
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | REF_CLOSE: (246), (16570), (16839) are inconsistent by
% 191.64/30.26  | | | | | | | | | | | |            sub-proof #1660.
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | |   (16840)  all_54_15 = e0
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | COMBINE_EQS: (246), (16840) imply:
% 191.64/30.26  | | | | | | | | | | | |   (16841)  all_14_2 = e0
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | SIMP: (16841) implies:
% 191.64/30.26  | | | | | | | | | | | |   (16842)  all_14_2 = e0
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | REDUCE: (362), (16842) imply:
% 191.64/30.26  | | | | | | | | | | | |   (16843)   ~ (all_52_7 = e0)
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | REDUCE: (371), (16842) imply:
% 191.64/30.26  | | | | | | | | | | | |   (16844)   ~ (all_52_13 = e0)
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | REDUCE: (16572), (16842) imply:
% 191.64/30.26  | | | | | | | | | | | |   (16845)   ~ (e3 = e0)
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | REDUCE: (16832), (16842) imply:
% 191.64/30.26  | | | | | | | | | | | |   (16846)   ~ (e2 = e0)
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | REDUCE: (16570), (16842) imply:
% 191.64/30.26  | | | | | | | | | | | |   (16847)   ~ (e1 = e0)
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | REDUCE: (51), (16842) imply:
% 191.64/30.26  | | | | | | | | | | | |   (16848)  op(e0, e0) = e0
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | BETA: splitting (225) gives:
% 191.64/30.26  | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | |   (16849)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 191.64/30.26  | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | REF_CLOSE: (4), (170), (13170), (16830), (16849),
% 191.64/30.26  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.26  | | | | | | | | | | | | |            #367.
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | |   (16850)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 191.64/30.26  | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | BETA: splitting (16850) gives:
% 191.64/30.26  | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | |   (16851)  all_56_7 = e0 & op(e1, e2) = e0
% 191.64/30.26  | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | ALPHA: (16851) implies:
% 191.64/30.26  | | | | | | | | | | | | | |   (16852)  all_56_7 = e0
% 191.64/30.26  | | | | | | | | | | | | | |   (16853)  op(e1, e2) = e0
% 191.64/30.26  | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 191.64/30.26  | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | |   (16854)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 191.64/30.26  | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 191.64/30.26  | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | BETA: splitting (16854) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | |   (16855)  all_56_2 = e0 & op(e2, e3) = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13167), (16855), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #366.
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | |   (16856)  all_56_3 = e0 & op(e2, e2) = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | ALPHA: (16856) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | |   (16857)  op(e2, e2) = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 191.64/30.26  | | | | | | | | | | | | | | | |            (227), (228), (373), (16824), (16852), (16857),
% 191.64/30.26  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.26  | | | | | | | | | | | | | | | |            #1240.
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | |   (16858)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 191.64/30.26  | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 191.64/30.26  | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | BETA: splitting (16858) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | |   (16859)  all_56_5 = e0 & op(e2, e1) = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | ALPHA: (16859) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | |   (16860)  all_56_5 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | |   (16861)  op(e2, e1) = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 191.64/30.26  | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (16853) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | |   (16862)  all_52_6 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 191.64/30.26  | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (16861) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | |   (16863)  all_52_9 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | REDUCE: (118), (16863) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | |   (16864)   ~ (all_52_11 = e0)
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | SIMP: (16864) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | |   (16865)   ~ (all_52_11 = e0)
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | |   (16866)   ~ (all_34_2 = e2)
% 191.64/30.26  | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | REDUCE: (16562), (16866) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | |   (16867)  $false
% 191.64/30.26  | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | CLOSE: (16867) is inconsistent.
% 191.64/30.26  | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | |   (16868)  ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0
% 191.64/30.26  | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_34_1 & $i(all_34_0) &
% 191.64/30.26  | | | | | | | | | | | | | | | | |              $i(all_34_1)) | ( ~ (all_34_1 = e3) & op(e1, e2)
% 191.64/30.26  | | | | | | | | | | | | | | | | |              = all_34_1 & $i(all_34_1))
% 191.64/30.26  | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | |   (16869)   ~ (all_44_2 = e1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | REDUCE: (16823), (16869) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | |   (16870)  $false
% 191.64/30.26  | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | CLOSE: (16870) is inconsistent.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | |   (16871)  ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | |              & op(e2, e1) = all_44_1 & $i(all_44_0) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | |              $i(all_44_1)) | ( ~ (all_44_1 = e3) & op(e2, e1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | |              = all_44_1 & $i(all_44_1))
% 191.64/30.26  | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | BETA: splitting (16871) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | |   (16872)   ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_44_1 & $i(all_44_0) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | |            $i(all_44_1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | ALPHA: (16872) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | |   (16873)  op(e2, e1) = all_44_1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | |   (16874)  op(all_44_1, e2) = all_44_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | BETA: splitting (16561) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |   (16875)   ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_10_1 & $i(all_10_0) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | ALPHA: (16875) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |   (16876)   ~ (all_10_0 = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |   (16877)  op(e1, e2) = all_10_1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |   (16878)  op(all_10_1, e1) = all_10_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16821) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16879)   ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_24_1 & $i(all_24_0) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |            $i(all_24_1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16879) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16880)   ~ (all_24_0 = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16881)  op(e2, e1) = all_24_1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16882)  op(all_24_1, e2) = all_24_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_1,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (16853), (16877) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16883)  all_10_1 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_44_1,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (16861), (16873) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16884)  all_44_1 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |              all_44_1, e1, e2, simplifying with (16873),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |              (16881) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16885)  all_44_1 = all_24_1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16884), (16885) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16886)  all_24_1 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | SIMP: (16886) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16887)  all_24_1 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | REDUCE: (16874), (16884) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16888)  op(e0, e2) = all_44_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | REDUCE: (16882), (16887) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16889)  op(e0, e2) = all_24_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | REDUCE: (16878), (16883) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16890)  op(e0, e1) = all_10_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16868) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              all_10_0, e1, e0, simplifying with (157), (16890)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16891)  all_52_11 = all_10_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              all_24_0, e2, e0, simplifying with (158), (16889)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16892)  all_52_7 = all_24_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              all_44_0, e2, e0, simplifying with (158), (16888)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16893)  all_52_7 = all_44_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16892), (16893) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16894)  all_44_0 = all_24_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (16891) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16895)  all_54_14 = all_10_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (16891) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16896)   ~ (all_52_8 = all_10_0)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16567), (16891) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16897)   ~ (all_10_0 = e2)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16865), (16891) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16898)   ~ (all_10_0 = e0)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |   (16899)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16899) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |   (16900)  all_56_12 = e3 & op(e0, e3) = e3
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16900) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |   (16901)  all_56_12 = e3
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |   (16902)  op(e0, e3) = e3
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (158), (165),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (190), (207), (208), (218), (219),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            (220), (228), (16565), (16566), (16569), (16826),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            (16830), (16848), (16852), (16860), (16876),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            (16895), (16896), (16897), (16898), (16901),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            (16902), (function-axioms) are inconsistent by
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #245.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |   (16903)  all_56_13 = e3 & op(e0, e2) = e3
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16880), (16889), (16903), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #376.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |   (16904)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (165), (169), (190), (218),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |            (219), (16565), (16566), (16827), (16848),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |            (16876), (16895), (16896), (16897), (16898),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |            (16904), (function-axioms) are inconsistent by
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #243.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16905)   ~ (all_34_1 = e3) & op(e1, e2) = all_34_1 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |            $i(all_34_1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16905) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16906)   ~ (all_34_1 = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16907)  op(e1, e2) = all_34_1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              all_10_0, e1, e0, simplifying with (157), (16890)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16908)  all_52_11 = all_10_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              all_24_0, e2, e0, simplifying with (158), (16889)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16909)  all_52_7 = all_24_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              all_44_0, e2, e0, simplifying with (158), (16888)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16910)  all_52_7 = all_44_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (16853), (16907) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16911)  all_34_1 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16909), (16910) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16912)  all_44_0 = all_24_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (16908) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16913)  all_54_14 = all_10_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (16908) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16914)   ~ (all_52_8 = all_10_0)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16567), (16908) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16915)   ~ (all_10_0 = e2)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16865), (16908) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |   (16916)   ~ (all_10_0 = e0)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |   (16917)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16917) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |   (16918)  all_56_12 = e3 & op(e0, e3) = e3
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16918) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |   (16919)  all_56_12 = e3
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |   (16920)  op(e0, e3) = e3
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (158), (165),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (190), (207), (208), (218), (219),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            (220), (228), (16565), (16566), (16569), (16826),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            (16830), (16848), (16860), (16876), (16906),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            (16907), (16913), (16914), (16915), (16916),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            (16919), (16920), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #241.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |   (16921)  all_56_13 = e3 & op(e0, e2) = e3
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16880), (16889), (16921), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #376.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |   (16922)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (165), (169), (190), (218),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |            (219), (16565), (16566), (16827), (16848),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |            (16876), (16913), (16914), (16915), (16916),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |            (16922), (function-axioms) are inconsistent by
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #243.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16923)   ~ (all_24_1 = e0) & op(e2, e1) = all_24_1 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |            $i(all_24_1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16861), (16923), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #380.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |   (16924)   ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16853), (16924), (function-axioms) are
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #240.
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | |   (16925)   ~ (all_44_1 = e3) & op(e2, e1) = all_44_1 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | |            $i(all_44_1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | ALPHA: (16925) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | |   (16926)   ~ (all_44_1 = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | |   (16927)  op(e2, e1) = all_44_1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | BETA: splitting (16561) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |   (16928)   ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_10_1 & $i(all_10_0) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | ALPHA: (16928) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |   (16929)   ~ (all_10_0 = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |   (16930)  op(e1, e2) = all_10_1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | |   (16931)  op(all_10_1, e1) = all_10_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16821) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16932)   ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_24_1 & $i(all_24_0) &
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |            $i(all_24_1)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16932) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16933)   ~ (all_24_0 = e3)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16934)  op(e2, e1) = all_24_1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16935)  op(all_24_1, e2) = all_24_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_1,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (16853), (16930) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16936)  all_10_1 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_44_1,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (16861), (16927) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16937)  all_44_1 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |              all_44_1, e1, e2, simplifying with (16927),
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |              (16934) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16938)  all_44_1 = all_24_1
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16937), (16938) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16939)  all_24_1 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | SIMP: (16939) implies:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16940)  all_24_1 = e0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | REDUCE: (16935), (16940) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16941)  op(e0, e2) = all_24_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | REDUCE: (16931), (16936) imply:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | |   (16942)  op(e0, e1) = all_10_0
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16868) gives:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              all_10_0, e1, e0, simplifying with (157), (16942)
% 191.64/30.26  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16943)  all_52_11 = all_10_0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              all_24_0, e2, e0, simplifying with (158), (16941)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16944)  all_52_7 = all_24_0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (16943) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16945)  all_54_14 = all_10_0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (16943) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16946)   ~ (all_52_8 = all_10_0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16567), (16943) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16947)   ~ (all_10_0 = e2)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16865), (16943) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16948)   ~ (all_10_0 = e0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |   (16949)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16949) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (16950)  all_56_12 = e3 & op(e0, e3) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16950) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (16951)  all_56_12 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (16952)  op(e0, e3) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (16953)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (158), (16826), (16952), (16953),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |            #248.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (16954)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16954) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16955)  all_56_14 = e1 & op(e0, e1) = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16955) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16956)  all_56_14 = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16957)  all_54_14 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16929), (16945), (16957) are inconsistent by
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #268.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16958)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16959)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16959) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16960)  all_56_4 = e3 & op(e3, e1) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16960) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16961)  op(e3, e1) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (134), (169), (170),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (228), (16830), (16848), (16852), (16951),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16956), (16961), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #247.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16962)  all_56_5 = e3 & op(e2, e1) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16962) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16963)  op(e2, e1) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16926), (16927), (16963), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1042.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16964)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (165), (169), (218), (219),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16565), (16566), (16569), (16860), (16945),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16946), (16947), (16948), (16958), (16964),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #253.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16965)  all_56_15 = e1 & op(e0, e0) = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16965) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16966)  op(e0, e0) = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16848), (16966), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (16967)  all_56_13 = e3 & op(e0, e2) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16933), (16941), (16967), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #376.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |   (16968)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (165), (169), (190), (218),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |            (219), (16565), (16566), (16827), (16848),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |            (16929), (16945), (16946), (16947), (16948),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |            (16968), (function-axioms) are inconsistent by
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #243.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16969)   ~ (all_34_1 = e3) & op(e1, e2) = all_34_1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |            $i(all_34_1)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16969) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16970)   ~ (all_34_1 = e3)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16971)  op(e1, e2) = all_34_1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              all_10_0, e1, e0, simplifying with (157), (16942)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16972)  all_52_11 = all_10_0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              all_24_0, e2, e0, simplifying with (158), (16941)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16973)  all_52_7 = all_24_0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (16853), (16971) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16974)  all_34_1 = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (16972) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16975)  all_54_14 = all_10_0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (16972) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16976)   ~ (all_52_8 = all_10_0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16567), (16972) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16977)   ~ (all_10_0 = e2)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16865), (16972) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (16978)   ~ (all_10_0 = e0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |   (16979)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16979) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (16980)  all_56_12 = e3 & op(e0, e3) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16980) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (16981)  all_56_12 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (16982)  op(e0, e3) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (16983)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (158), (16826), (16982), (16983),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |            #248.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (16984)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16984) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16985)  all_56_14 = e1 & op(e0, e1) = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16985) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16986)  all_56_14 = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16987)  all_54_14 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16929), (16975), (16987) are inconsistent by
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #268.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16988)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16989)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16989) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16990)  all_56_4 = e3 & op(e3, e1) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16990) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16991)  op(e3, e1) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (134), (169), (170), (208),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (16830), (16848), (16970), (16971),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16981), (16986), (16991), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #242.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16992)  all_56_5 = e3 & op(e2, e1) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16992) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16993)  op(e2, e1) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16926), (16927), (16993), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1042.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16994)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (165), (169), (218), (219),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16565), (16566), (16569), (16860), (16975),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16976), (16977), (16978), (16988), (16994),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #253.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16995)  all_56_15 = e1 & op(e0, e0) = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16995) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16996)  op(e0, e0) = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16848), (16996), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (16997)  all_56_13 = e3 & op(e0, e2) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16933), (16941), (16997), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #376.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |   (16998)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16998) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (16999)  all_56_14 = e3 & op(e0, e1) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16999) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (17000)  all_56_14 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (165), (169), (190), (218), (219),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            (16565), (16566), (16827), (16929), (16975),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            (16976), (16977), (16978), (17000),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            #244.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (17001)  all_56_15 = e3 & op(e0, e0) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17001) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (17002)  op(e0, e0) = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16848), (17002), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | |   (17003)   ~ (all_24_1 = e0) & op(e2, e1) = all_24_1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | |            $i(all_24_1)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16861), (17003), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #380.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | |   (17004)   ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16853), (17004), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #240.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | |   (17005)  all_56_10 = e0 & op(e2, e0) = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | ALPHA: (17005) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | |   (17006)  op(e2, e0) = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16844), (17006), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | |   (17007)  all_56_13 = e0 & op(e0, e2) = e0
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | ALPHA: (17007) implies:
% 191.64/30.27  | | | | | | | | | | | | | |   (17008)  op(e0, e2) = e0
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | REF_CLOSE: (158), (16843), (17008), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | |   (17009)  all_28_2 = e2
% 191.64/30.27  | | | | | | | | |   (17010)  ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 191.64/30.27  | | | | | | | | |              op(e0, e2) = all_28_1 & $i(all_28_0) &
% 191.64/30.27  | | | | | | | | |              $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2)
% 191.64/30.27  | | | | | | | | |              = all_28_1 & $i(all_28_1))
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | COMBINE_EQS: (330), (17009) imply:
% 191.64/30.27  | | | | | | | | |   (17011)  all_14_2 = e2
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | SIMP: (17011) implies:
% 191.64/30.27  | | | | | | | | |   (17012)  all_14_2 = e2
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | REDUCE: (351), (17012) imply:
% 191.64/30.27  | | | | | | | | |   (17013)   ~ (all_52_3 = e2)
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | REDUCE: (370), (17012) imply:
% 191.64/30.27  | | | | | | | | |   (17014)   ~ (all_52_12 = e2)
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | REDUCE: (371), (17012) imply:
% 191.64/30.27  | | | | | | | | |   (17015)   ~ (all_52_13 = e2)
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | REDUCE: (16572), (17012) imply:
% 191.64/30.27  | | | | | | | | |   (17016)   ~ (e3 = e2)
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | REDUCE: (51), (17012) imply:
% 191.64/30.27  | | | | | | | | |   (17017)  op(e0, e0) = e2
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | BETA: splitting (233) gives:
% 191.64/30.27  | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | |   (17018)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 191.64/30.27  | | | | | | | | | |              & op(e2, e3) = e2)
% 191.64/30.27  | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | BETA: splitting (17018) gives:
% 191.64/30.27  | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | |   (17019)  all_56_0 = e2 & op(e3, e3) = e2
% 191.64/30.27  | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | ALPHA: (17019) implies:
% 191.64/30.27  | | | | | | | | | | |   (17020)  op(e3, e3) = e2
% 191.64/30.27  | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | REF_CLOSE: (5), (13173), (17020), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | |            inconsistent by sub-proof #833.
% 191.64/30.27  | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | |   (17021)  all_56_2 = e2 & op(e2, e3) = e2
% 191.64/30.27  | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | ALPHA: (17021) implies:
% 191.64/30.27  | | | | | | | | | | |   (17022)  all_56_2 = e2
% 191.64/30.27  | | | | | | | | | | |   (17023)  op(e2, e3) = e2
% 191.64/30.27  | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | BETA: splitting (234) gives:
% 191.64/30.27  | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | |   (17024)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 191.64/30.27  | | | | | | | | | | | |              & op(e3, e2) = e2)
% 191.64/30.27  | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | BETA: splitting (17024) gives:
% 191.64/30.27  | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | |   (17025)  all_56_0 = e2 & op(e3, e3) = e2
% 191.64/30.27  | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | ALPHA: (17025) implies:
% 191.64/30.27  | | | | | | | | | | | | |   (17026)  op(e3, e3) = e2
% 191.64/30.27  | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (17026), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 191.64/30.27  | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | |   (17027)  all_56_1 = e2 & op(e3, e2) = e2
% 191.64/30.27  | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | ALPHA: (17027) implies:
% 191.64/30.27  | | | | | | | | | | | | |   (17028)  op(e3, e2) = e2
% 191.64/30.27  | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | BETA: splitting (202) gives:
% 191.64/30.27  | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | |   (17029)  all_54_2 = e3
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | COMBINE_EQS: (271), (17029) imply:
% 191.64/30.27  | | | | | | | | | | | | | |   (17030)  all_52_8 = e3
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | SIMP: (17030) implies:
% 191.64/30.27  | | | | | | | | | | | | | |   (17031)  all_52_8 = e3
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | REDUCE: (123), (17031) imply:
% 191.64/30.27  | | | | | | | | | | | | | |   (17032)   ~ (all_52_9 = e3)
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | SIMP: (17032) implies:
% 191.64/30.27  | | | | | | | | | | | | | |   (17033)   ~ (all_52_9 = e3)
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | REDUCE: (120), (17031) imply:
% 191.64/30.27  | | | | | | | | | | | | | |   (17034)   ~ (all_52_12 = e3)
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | SIMP: (17034) implies:
% 191.64/30.27  | | | | | | | | | | | | | |   (17035)   ~ (all_52_12 = e3)
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | REDUCE: (169), (17031) imply:
% 191.64/30.27  | | | | | | | | | | | | | |   (17036)  op(e3, e1) = e3
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 191.64/30.27  | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | |   (17037)  all_54_6 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | REF_CLOSE: (261), (17033), (17037) are inconsistent by
% 191.64/30.27  | | | | | | | | | | | | | | |            sub-proof #1468.
% 191.64/30.27  | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | |   (17038)   ~ (all_54_6 = e3)
% 191.64/30.27  | | | | | | | | | | | | | | |   (17039)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 191.64/30.27  | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | BETA: splitting (17039) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | |   (17040)  all_54_6 = e2
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16566), (17040) are inconsistent by
% 191.64/30.27  | | | | | | | | | | | | | | | |            sub-proof #1467.
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | |   (17041)   ~ (all_54_6 = e2)
% 191.64/30.27  | | | | | | | | | | | | | | | |   (17042)  all_54_6 = e1 | all_54_6 = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | BETA: splitting (17042) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17043)  all_54_6 = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16827), (17043) are inconsistent by
% 191.64/30.27  | | | | | | | | | | | | | | | | |            sub-proof #795.
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17044)  all_54_6 = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (17044) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17045)  all_52_9 = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | SIMP: (17045) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17046)  all_52_9 = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | REDUCE: (118), (17046) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17047)   ~ (all_52_11 = e0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | SIMP: (17047) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17048)   ~ (all_52_11 = e0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | REDUCE: (117), (17046) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17049)   ~ (all_52_13 = e0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | SIMP: (17049) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17050)   ~ (all_52_13 = e0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | REDUCE: (17033), (17046) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17051)   ~ (e3 = e0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | REDUCE: (16566), (17046) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17052)   ~ (e2 = e0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | REDUCE: (16827), (17046) imply:
% 191.64/30.27  | | | | | | | | | | | | | | | | |   (17053)   ~ (e1 = e0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | |   (17054)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | BETA: splitting (17054) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | |   (17055)  all_56_4 = e0 & op(e3, e1) = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13171), (17055), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | |   (17056)  all_56_5 = e0 & op(e2, e1) = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | ALPHA: (17056) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | |   (17057)  all_56_5 = e0
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | |   (17058)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (16827), (17036), (17058),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | |            #418.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | |   (17059)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17059) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | |   (17060)  all_56_8 = e1 & op(e1, e1) = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | ALPHA: (17060) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | |   (17061)  op(e1, e1) = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16569), (17061), (function-axioms) are
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | |   (17062)  all_56_14 = e1 & op(e0, e1) = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | ALPHA: (17062) implies:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | |   (17063)  all_56_14 = e1
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |   (17064)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17064) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |   (17065)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17065) gives:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (17066)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (16830), (17028), (17066),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            #1143.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |   (17067)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (373), (13173), (17023), (17067),
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | |            #239.
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17068)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17068) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |   (17069)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (17035), (17069),
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            #397.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |   (17070)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (16564), (16825), (17070),
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            #425.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |   (17071)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17071) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17072)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17072) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |   (17073)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17015), (17050), (17073),
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            #1172.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |   (17074)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (17017),
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (17057), (17063), (17074), (function-axioms) are
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #327.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17075)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17075) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |   (17076)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (13173), (16830), (17076),
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            #357.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |   (17077)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (16569), (17017), (17077),
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            #531.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | |   (17078)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (16569), (17048), (17078),
% 191.64/30.28  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.28  | | | | | | | | | | | | | | | | | |            #514.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | |   (17079)   ~ (all_54_2 = e3)
% 191.64/30.28  | | | | | | | | | | | | | |   (17080)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 191.64/30.28  | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | REDUCE: (271), (17079) imply:
% 191.64/30.28  | | | | | | | | | | | | | |   (17081)   ~ (all_52_8 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 191.64/30.28  | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | |   (17082)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 191.64/30.28  | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 191.64/30.28  | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | REF_CLOSE: (120), (164), (168), (271), (13171), (16565),
% 191.64/30.28  | | | | | | | | | | | | | | |            (16828), (17080), (17082), (function-axioms) are
% 191.64/30.28  | | | | | | | | | | | | | | |            inconsistent by sub-proof #501.
% 191.64/30.28  | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | |   (17083)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 191.64/30.28  | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.64/30.28  | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | BETA: splitting (17083) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | |   (17084)  all_56_11 = e1 & op(e1, e0) = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | ALPHA: (17084) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | |   (17085)  op(e1, e0) = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | |   (17086)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 191.64/30.28  | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | BETA: splitting (17086) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | |   (17087)  all_56_6 = e0 & op(e1, e3) = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13168), (17087), (function-axioms) are
% 191.64/30.28  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1768.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | |   (17088)  all_56_7 = e0 & op(e1, e2) = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | ALPHA: (17088) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | |   (17089)  all_56_7 = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | |   (17090)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (16830), (17028), (17090),
% 191.64/30.28  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.28  | | | | | | | | | | | | | | | | | | |            #325.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | |   (17091)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | BETA: splitting (17091) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | |   (17092)  all_56_7 = e3 & op(e1, e2) = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17089), (17092) are inconsistent by
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | |            sub-proof #1094.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | |   (17093)  all_56_13 = e3 & op(e0, e2) = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | ALPHA: (17093) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | |   (17094)  op(e0, e2) = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17080) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | |   (17095)  all_54_2 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (16565), (17095) are inconsistent by
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1761.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | |   (17096)   ~ (all_54_2 = e2)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | |   (17097)  all_54_2 = e1 | all_54_2 = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17097) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |   (17098)  all_54_2 = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (17098) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |   (17099)  all_52_8 = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | SIMP: (17099) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |   (17100)  all_52_8 = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (17100) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |   (17101)   ~ (all_52_11 = e1)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | SIMP: (17101) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |   (17102)   ~ (all_52_11 = e1)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (17100) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |   (17103)   ~ (all_52_12 = e1)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | SIMP: (17103) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |   (17104)   ~ (all_52_12 = e1)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16565), (17100) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |   (17105)   ~ (e2 = e1)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (17100) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | |   (17106)  op(e3, e1) = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17107)  all_54_3 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (17107) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17108)  all_52_12 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17108) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17109)  all_52_12 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (17109) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17110)   ~ (all_52_13 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17110) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17111)   ~ (all_52_13 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (17109) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17112)   ~ (all_52_14 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17112) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17113)   ~ (all_52_14 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (17109) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | |   (17114)  op(e3, e0) = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |   (17115)  all_54_7 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (17111), (17115) are inconsistent by
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |   (17116)   ~ (all_54_7 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | |   (17117)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17117) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (17118)  all_54_7 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (17015), (17118) are inconsistent by
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (17119)   ~ (all_54_7 = e2)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (17120)  all_54_7 = e1 | all_54_7 = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17120) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17121)  all_54_7 = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (16828), (17121) are inconsistent by
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1446.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17122)  all_54_7 = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (17122) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17123)  all_52_13 = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17123) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17124)  all_52_13 = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (17124) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17125)   ~ (all_52_14 = e0)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17125) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17126)   ~ (all_52_14 = e0)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17111), (17124) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17127)   ~ (e3 = e0)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17015), (17124) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17128)   ~ (e2 = e0)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16828), (17124) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17129)   ~ (e1 = e0)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17130)  all_54_11 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (17130) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17131)  all_52_14 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17113), (17131) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17132)  $false
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17132) is inconsistent.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17133)   ~ (all_54_11 = e3)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17134)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17134) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17135)  all_54_11 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (17135) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17136)  all_52_14 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16568), (17136) imply:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17137)  $false
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17137) is inconsistent.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17138)   ~ (all_54_11 = e2)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17139)  all_54_11 = e1 | all_54_11 = e0
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17140)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17140) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17141)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17141) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17142)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16569), (17017), (17142), (function-axioms)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #536.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17143)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17143) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17144)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17144) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17145)  op(e2, e2) = e3
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16830), (17145), (function-axioms) are
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17146)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17146) implies:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17147)  op(e1, e3) = e1
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (17085), (17147),
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #303.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17148)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17148) gives:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17149)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17028), (17149), (function-axioms) are
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1141.
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17150)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.64/30.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (16825), (17106), (17150),
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1140.
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17151)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17151) gives:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17152)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17152) gives:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17153)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17153) gives:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17154)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17154) implies:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17155)  op(e0, e0) = e1
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17017), (17155), (function-axioms) are
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17156)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17156) implies:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17157)  op(e3, e3) = e1
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (51), (73), (120), (125),
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (134), (139), (141), (145), (157), (158),
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (210), (233), (234),
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (246), (330), (351), (362), (370),
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (372), (16563), (16565), (16566), (16568),
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16569), (16570), (16572), (16824), (16828),
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16830), (17104), (17157), (function-axioms) are
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #490.
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17158)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17158) gives:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17159)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17159) implies:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17160)  op(e0, e0) = e1
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17017), (17160), (function-axioms) are
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17161)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17161) gives:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17162)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17162) implies:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17163)   ~ (all_57_10 = e0)
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17164)  op(e3, e3) = all_57_10
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13173), (17163), (17164), (function-axioms) are
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #408.
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.64/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17165)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17165) implies:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17166)   ~ (all_57_13 = e1)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17167)  op(e1, e0) = all_57_13
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17085), (17166), (17167), (function-axioms) are
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17168)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17168) gives:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17169)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13165), (13176), (17015), (17114),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17169), (function-axioms) are inconsistent by
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #346.
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17170)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17170) gives:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17171)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17171) implies:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17172)   ~ (all_57_13 = e1)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17173)  op(e1, e0) = all_57_13
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17085), (17172), (17173), (function-axioms) are
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17174)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17174) gives:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17175)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17175) implies:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17176)  op(e2, e2) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (226),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (373), (16824), (17089), (17176),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1240.
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17177)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17177) implies:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17178)  op(e0, e0) = all_57_15
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17179)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17179) gives:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17180)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17180) gives:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17181)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17181) implies:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17182)  op(e2, e2) = e3
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16830), (17182), (function-axioms) are
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17183)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (17017), (17178), (17183),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #392.
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17184)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17184) gives:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17185)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17185) implies:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17186)   ~ (all_57_15 = e2)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17017), (17178), (17186), (function-axioms) are
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17187)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17187) gives:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17188)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17188) implies:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17189)  op(e3, e3) = e1
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (51), (73), (120), (125),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (134), (139), (141), (145), (157), (158),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (210), (233), (234),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (246), (330), (351), (362), (370),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (372), (16563), (16565), (16566), (16568),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16569), (16570), (16572), (16824), (16828),
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16830), (17104), (17189), (function-axioms) are
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #490.
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17190)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17190) implies:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17191)  all_57_8 = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17192)   ~ (all_57_15 = e1)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17193)  op(e0, e1) = e0
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17139) gives:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17194)  all_54_11 = e1
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (17194) imply:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17195)  all_52_14 = e1
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17195) implies:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17196)  all_52_14 = e1
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (17196) imply:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17197)   ~ (all_52_2 = e1)
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17198)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17198) gives:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17199)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17199) gives:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17200)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (16830), (17028), (17200),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1143.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17201)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17201) gives:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17202)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17202) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17203)  op(e3, e3) = e1
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (125), (139), (145),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (162), (163), (164), (167),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (233), (238), (239), (16563), (16569),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16824), (16825), (16830), (17013), (17017),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17028), (17085), (17197), (17203),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #491.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17204)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17204) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17205)  op(e1, e3) = e1
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (17197), (17205), (function-axioms) are
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17206)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17206) gives:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17207)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17207) gives:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17208)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17208) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17209)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16569), (17085), (17209), (function-axioms)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #496.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17210)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17210) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17211)  op(e0, e3) = e0
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (17211), (function-axioms) are
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17212)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (16825), (17017), (17191), (17212),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #494.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17213)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17213) gives:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17214)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17214) gives:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17215)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17215) gives:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17216)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17216) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17217)  op(e2, e0) = e2
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17015), (17217), (function-axioms) are
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17218)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17218) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17219)  op(e0, e2) = e0
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17010), (17094), (17219), (function-axioms)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1667.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17220)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (17102), (17126), (17220),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1883.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17221)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17221) gives:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17222)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17222) gives:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17223)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17223) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17224)  op(e3, e3) = e3
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (120), (121), (125), (128), (134), (135),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (162), (164), (168), (170), (191), (202),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (216), (229), (231), (248), (271), (16567),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16569), (16824), (16826), (16828), (17022),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17028), (17081), (17178), (17192), (17193),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17224), (function-axioms) are inconsistent by
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #498.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17225)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17225) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17226)  op(e2, e2) = e2
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (36), (159), (373), (13169),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13173), (17094), (17179), (17226),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #262.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17227)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (16569), (17085), (17227),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #495.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17228)  all_54_11 = e0
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (17126), (17228) are inconsistent by
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | |   (17229)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (13172), (17014), (17085),
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | |            (17229), (function-axioms) are inconsistent by
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1290.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | |   (17230)  all_54_2 = e0
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (13171), (17230) are inconsistent by
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1389.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | |   (17231)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 191.70/30.30  | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.70/30.30  | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | BETA: splitting (17231) gives:
% 191.70/30.30  | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | |   (17232)  all_56_8 = e0 & op(e1, e1) = e0
% 191.70/30.30  | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | ALPHA: (17232) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | | | |   (17233)  op(e1, e1) = e0
% 191.70/30.30  | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16569), (17233), (function-axioms) are
% 191.70/30.30  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | |   (17234)  all_56_11 = e0 & op(e1, e0) = e0
% 191.70/30.30  | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | ALPHA: (17234) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | | | |   (17235)  op(e1, e0) = e0
% 191.70/30.30  | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17085), (17235), (function-axioms) are
% 191.70/30.30  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 191.70/30.30  | | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | |   (17236)  all_56_15 = e1 & op(e0, e0) = e1
% 191.70/30.30  | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | ALPHA: (17236) implies:
% 191.70/30.30  | | | | | | | | | | | | | | | |   (17237)  op(e0, e0) = e1
% 191.70/30.30  | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17017), (17237), (function-axioms) are
% 191.70/30.30  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.70/30.30  | | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | |   (17238)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 191.70/30.30  | | | | | | | | | | | |              & op(e3, e0) = e2)
% 191.70/30.30  | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | BETA: splitting (17238) gives:
% 191.70/30.30  | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | |   (17239)  all_56_4 = e2 & op(e3, e1) = e2
% 191.70/30.30  | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | REF_CLOSE: (169), (16565), (17239), (function-axioms) are
% 191.70/30.30  | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 191.70/30.30  | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | |   (17240)  all_56_9 = e2 & op(e3, e0) = e2
% 191.70/30.30  | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | | REF_CLOSE: (168), (17014), (17240), (function-axioms) are
% 191.70/30.30  | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 191.70/30.30  | | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | |   (17241)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 191.70/30.30  | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 191.70/30.30  | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | BETA: splitting (17241) gives:
% 191.70/30.30  | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | |   (17242)  all_56_6 = e2 & op(e1, e3) = e2
% 191.70/30.30  | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | REF_CLOSE: (163), (16563), (17242), (function-axioms) are
% 191.70/30.30  | | | | | | | | | | |            inconsistent by sub-proof #796.
% 191.70/30.30  | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | Case 2:
% 191.70/30.30  | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | |   (17243)  all_56_12 = e2 & op(e0, e3) = e2
% 191.70/30.30  | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | | REF_CLOSE: (159), (17013), (17243), (function-axioms) are
% 191.70/30.30  | | | | | | | | | | |            inconsistent by sub-proof #528.
% 191.70/30.30  | | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | | 
% 191.70/30.30  | | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | | 
% 191.70/30.30  | | | | | | | | End of split
% 191.70/30.30  | | | | | | | | 
% 191.70/30.30  | | | | | | | End of split
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | Case 2:
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | |   (17244)  all_18_2 = e3
% 191.70/30.30  | | | | | | |   (17245)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 191.70/30.30  | | | | | | |              op(e0, e3) = all_18_1 & $i(all_18_0) & $i(all_18_1))
% 191.70/30.30  | | | | | | |            | ( ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 191.70/30.30  | | | | | | |              $i(all_18_1))
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | | COMBINE_EQS: (301), (17244) imply:
% 191.70/30.30  | | | | | | |   (17246)  all_14_2 = e3
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | | COMBINE_EQS: (299), (17246) imply:
% 191.70/30.30  | | | | | | |   (17247)  all_48_2 = e3
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | | REDUCE: (351), (17246) imply:
% 191.70/30.30  | | | | | | |   (17248)   ~ (all_52_3 = e3)
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | | REDUCE: (362), (17246) imply:
% 191.70/30.30  | | | | | | |   (17249)   ~ (all_52_7 = e3)
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | | REDUCE: (370), (17246) imply:
% 191.70/30.30  | | | | | | |   (17250)   ~ (all_52_12 = e3)
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | | REDUCE: (371), (17246) imply:
% 191.70/30.30  | | | | | | |   (17251)   ~ (all_52_13 = e3)
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | | REDUCE: (372), (17246) imply:
% 191.70/30.30  | | | | | | |   (17252)   ~ (all_52_14 = e3)
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | | REDUCE: (51), (17246) imply:
% 191.70/30.30  | | | | | | |   (17253)  op(e0, e0) = e3
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | | BETA: splitting (67) gives:
% 191.70/30.30  | | | | | | | 
% 191.70/30.30  | | | | | | | Case 1:
% 191.70/30.30  | | | | | | | | 
% 191.70/30.30  | | | | | | | |   (17254)   ~ (all_24_2 = e1)
% 191.70/30.30  | | | | | | | | 
% 191.70/30.31  | | | | | | | | REDUCE: (318), (17254) imply:
% 191.70/30.31  | | | | | | | |   (17255)   ~ (all_4_2 = e1)
% 191.70/30.31  | | | | | | | | 
% 191.70/30.31  | | | | | | | | BETA: splitting (79) gives:
% 191.70/30.31  | | | | | | | | 
% 191.70/30.31  | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | 
% 191.70/30.31  | | | | | | | | |   (17256)   ~ (all_32_2 = e0)
% 191.70/30.31  | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | REDUCE: (314), (17256) imply:
% 191.70/30.31  | | | | | | | | |   (17257)   ~ (all_4_2 = e0)
% 191.70/30.31  | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | BETA: splitting (199) gives:
% 191.70/30.31  | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | |   (17258)  all_54_5 = e3
% 191.70/30.31  | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | COMBINE_EQS: (268), (17258) imply:
% 191.70/30.31  | | | | | | | | | |   (17259)  all_4_2 = e3
% 191.70/30.31  | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | REDUCE: (373), (17259) imply:
% 191.70/30.31  | | | | | | | | | |   (17260)  $false
% 191.70/30.31  | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | CLOSE: (17260) is inconsistent.
% 191.70/30.31  | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | |   (17261)   ~ (all_54_5 = e3)
% 191.70/30.31  | | | | | | | | | |   (17262)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.70/30.31  | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | BETA: splitting (17262) gives:
% 191.70/30.31  | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | |   (17263)  all_54_5 = e2
% 191.70/30.31  | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | COMBINE_EQS: (268), (17263) imply:
% 191.70/30.31  | | | | | | | | | | |   (17264)  all_4_2 = e2
% 191.70/30.31  | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | REDUCE: (352), (17264) imply:
% 191.70/30.31  | | | | | | | | | | |   (17265)   ~ (all_52_4 = e2)
% 191.70/30.31  | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | REDUCE: (356), (17264) imply:
% 191.70/30.31  | | | | | | | | | | |   (17266)   ~ (all_52_7 = e2)
% 191.70/30.31  | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | REDUCE: (373), (17264) imply:
% 191.70/30.31  | | | | | | | | | | |   (17267)   ~ (e3 = e2)
% 191.70/30.31  | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | BETA: splitting (208) gives:
% 191.70/30.31  | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | |   (17268)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 191.70/30.31  | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 191.70/30.31  | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | BETA: splitting (17268) gives:
% 191.70/30.31  | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | |   (17269)  all_56_12 = e2 & op(e0, e3) = e2
% 191.70/30.31  | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | ALPHA: (17269) implies:
% 191.70/30.31  | | | | | | | | | | | | |   (17270)  op(e0, e3) = e2
% 191.70/30.31  | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | BETA: splitting (234) gives:
% 191.70/30.31  | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | |   (17271)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 191.70/30.31  | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (13173), (17265), (17271),
% 191.70/30.31  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.31  | | | | | | | | | | | | | |            #269.
% 191.70/30.31  | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | |   (17272)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 191.70/30.31  | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 191.70/30.31  | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | BETA: splitting (17272) gives:
% 191.70/30.31  | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | |   (17273)  all_56_4 = e2 & op(e3, e1) = e2
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | REF_CLOSE: (169), (16565), (17273), (function-axioms) are
% 191.70/30.31  | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | |   (17274)  all_56_9 = e2 & op(e3, e0) = e2
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | ALPHA: (17274) implies:
% 191.70/30.31  | | | | | | | | | | | | | | |   (17275)  all_56_9 = e2
% 191.70/30.31  | | | | | | | | | | | | | | |   (17276)  op(e3, e0) = e2
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 191.70/30.31  | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (17270) gives:
% 191.70/30.31  | | | | | | | | | | | | | | |   (17277)  all_52_3 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 191.70/30.31  | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (17276) gives:
% 191.70/30.31  | | | | | | | | | | | | | | |   (17278)  all_52_12 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | REDUCE: (148), (17277) imply:
% 191.70/30.31  | | | | | | | | | | | | | | |   (17279)   ~ (all_52_1 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | REDUCE: (113), (17278) imply:
% 191.70/30.31  | | | | | | | | | | | | | | |   (17280)   ~ (all_52_13 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | SIMP: (17280) implies:
% 191.70/30.31  | | | | | | | | | | | | | | |   (17281)   ~ (all_52_13 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | REDUCE: (112), (17278) imply:
% 191.70/30.31  | | | | | | | | | | | | | | |   (17282)   ~ (all_52_14 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | |   (17283)   ~ (all_48_2 = e3)
% 191.70/30.31  | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | REDUCE: (17247), (17283) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | |   (17284)  $false
% 191.70/30.31  | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | CLOSE: (17284) is inconsistent.
% 191.70/30.31  | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | |   (17285)  ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0
% 191.70/30.31  | | | | | | | | | | | | | | | |              & op(e0, e3) = all_48_1 & $i(all_48_0) &
% 191.70/30.31  | | | | | | | | | | | | | | | |              $i(all_48_1)) | ( ~ (all_48_1 = e1) & op(e0, e3)
% 191.70/30.31  | | | | | | | | | | | | | | | |              = all_48_1 & $i(all_48_1))
% 191.70/30.31  | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | BETA: splitting (13165) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | |   (17286)   ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 &
% 191.70/30.31  | | | | | | | | | | | | | | | | |            op(e3, e0) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | ALPHA: (17286) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | |   (17287)   ~ (all_6_0 = e1)
% 191.70/30.31  | | | | | | | | | | | | | | | | |   (17288)  op(e3, e0) = all_6_1
% 191.70/30.31  | | | | | | | | | | | | | | | | |   (17289)  op(all_6_1, e3) = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | BETA: splitting (17285) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | |   (17290)   ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_48_1 & $i(all_48_0) &
% 191.70/30.31  | | | | | | | | | | | | | | | | | |            $i(all_48_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | ALPHA: (17290) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | |   (17291)   ~ (all_48_0 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | | | |   (17292)  op(e0, e3) = all_48_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | |   (17293)  op(all_48_1, e0) = all_48_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | BETA: splitting (13176) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17294)   ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | ALPHA: (17294) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17295)   ~ (all_8_0 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17296)  op(e3, e0) = all_8_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17297)  op(all_8_1, e3) = all_8_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (17245) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17298)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_18_1 & $i(all_18_0) &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | ALPHA: (17298) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17299)   ~ (all_18_0 = e1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17300)  op(e0, e3) = all_18_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17301)  op(all_18_1, e0) = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (17270), (17292) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17302)  all_48_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_48_1, e3, e0, simplifying with (17292),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              (17300) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17303)  all_48_1 = all_18_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (17276), (17296) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17304)  all_8_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_8_1, e0, e3, simplifying with (17288), (17296)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17305)  all_8_1 = all_6_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17302), (17303) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17306)  all_18_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17306) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17307)  all_18_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17304), (17305) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17308)  all_6_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17308) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17309)  all_6_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17293), (17302) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17310)  op(e2, e0) = all_48_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17301), (17307) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17311)  op(e2, e0) = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17297), (17304) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17312)  op(e2, e3) = all_8_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17289), (17309) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17313)  op(e2, e3) = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_18_0, e0, e2, simplifying with (164), (17311)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17314)  all_52_13 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_48_0, e0, e2, simplifying with (164), (17310)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17315)  all_52_13 = all_48_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_6_0, e3, e2, simplifying with (167), (17313)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17316)  all_52_1 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_8_0, e3, e2, simplifying with (167), (17312)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17317)  all_52_1 = all_8_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17316), (17317) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17318)  all_8_0 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17314), (17315) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17319)  all_48_0 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17319) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17320)  all_48_0 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (17314) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17321)  all_54_7 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17316) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17322)  all_54_4 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (17316) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17323)   ~ (all_52_9 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17323) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17324)   ~ (all_52_9 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (17314), (17316) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17325)   ~ (all_18_0 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17325) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17326)   ~ (all_18_0 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (13167), (17316) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17327)   ~ (all_6_0 = e0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (17314) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17328)   ~ (all_52_14 = all_18_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17328) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17329)   ~ (all_52_14 = all_18_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17291), (17320) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17330)   ~ (all_18_0 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (160), (163), (164), (165),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (197), (200), (206), (210), (211), (213), (216),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (373), (13168),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (16568), (16569), (17251), (17252), (17253),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17275), (17287), (17295), (17299), (17318),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17321), (17322), (17324), (17326), (17327),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17329), (17330), (function-axioms) are
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #236.
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17331)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17270), (17331), (function-axioms) are
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #476.
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17332)   ~ (all_8_1 = e1) & op(e3, e0) = all_8_1 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |            $i(all_8_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | ALPHA: (17332) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17333)   ~ (all_8_1 = e1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17334)  op(e3, e0) = all_8_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (17245) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17335)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_18_1 & $i(all_18_0) &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | ALPHA: (17335) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17336)   ~ (all_18_0 = e1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17337)  op(e0, e3) = all_18_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17338)  op(all_18_1, e0) = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (17270), (17292) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17339)  all_48_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_48_1, e3, e0, simplifying with (17292),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              (17337) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17340)  all_48_1 = all_18_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (17276), (17334) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17341)  all_8_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_8_1, e0, e3, simplifying with (17288), (17334)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17342)  all_8_1 = all_6_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17339), (17340) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17343)  all_18_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17343) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17344)  all_18_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17341), (17342) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17345)  all_6_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17345) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17346)  all_6_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17293), (17339) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17347)  op(e2, e0) = all_48_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17338), (17344) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17348)  op(e2, e0) = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17289), (17346) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17349)  op(e2, e3) = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_18_0, e0, e2, simplifying with (164), (17348)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17350)  all_52_13 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_48_0, e0, e2, simplifying with (164), (17347)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17351)  all_52_13 = all_48_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_6_0, e3, e2, simplifying with (167), (17349)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17352)  all_52_1 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17350), (17351) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17353)  all_48_0 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17353) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17354)  all_48_0 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (17350) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17355)  all_54_7 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17352) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17356)  all_54_4 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (17352) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17357)   ~ (all_52_9 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17357) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17358)   ~ (all_52_9 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (17350), (17352) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17359)   ~ (all_18_0 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17359) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17360)   ~ (all_18_0 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17279), (17352) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17361)   ~ (all_6_0 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (13167), (17352) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17362)   ~ (all_6_0 = e0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (17350) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17363)   ~ (all_52_14 = all_18_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17363) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17364)   ~ (all_52_14 = all_18_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17291), (17354) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17365)   ~ (all_18_0 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (160), (163), (164), (165),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (197), (200), (206), (210), (211), (213), (216),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (373), (13168),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (16568), (16569), (17251), (17252), (17253),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17287), (17333), (17334), (17336), (17355),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17356), (17358), (17360), (17361), (17362),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17364), (17365), (function-axioms) are
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #235.
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17366)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17270), (17366), (function-axioms) are
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #476.
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.31  | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | |   (17367)   ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | |            $i(all_48_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | ALPHA: (17367) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | |   (17368)   ~ (all_48_1 = e1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | |   (17369)  op(e0, e3) = all_48_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | BETA: splitting (13176) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17370)   ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | ALPHA: (17370) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17371)   ~ (all_8_0 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17372)  op(e3, e0) = all_8_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17373)  op(all_8_1, e3) = all_8_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (17245) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17374)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_18_1 & $i(all_18_0) &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | ALPHA: (17374) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17375)   ~ (all_18_0 = e1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17376)  op(e0, e3) = all_18_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17377)  op(all_18_1, e0) = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (17270), (17369) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17378)  all_48_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_48_1, e3, e0, simplifying with (17369),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              (17376) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17379)  all_48_1 = all_18_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (17276), (17372) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17380)  all_8_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_8_1, e0, e3, simplifying with (17288), (17372)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17381)  all_8_1 = all_6_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17378), (17379) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17382)  all_18_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17382) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17383)  all_18_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17380), (17381) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17384)  all_6_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17384) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17385)  all_6_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17377), (17383) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17386)  op(e2, e0) = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17373), (17380) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17387)  op(e2, e3) = all_8_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17289), (17385) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17388)  op(e2, e3) = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_18_0, e0, e2, simplifying with (164), (17386)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17389)  all_52_13 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_6_0, e3, e2, simplifying with (167), (17388)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17390)  all_52_1 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_8_0, e3, e2, simplifying with (167), (17387)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17391)  all_52_1 = all_8_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17390), (17391) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17392)  all_8_0 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17392) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17393)  all_8_0 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (17389) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17394)  all_54_7 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17390) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17395)  all_54_4 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (17390) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17396)   ~ (all_52_9 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17396) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17397)   ~ (all_52_9 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (17389), (17390) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17398)   ~ (all_18_0 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17398) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17399)   ~ (all_18_0 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (13167), (17390) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17400)   ~ (all_6_0 = e0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (17389) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17401)   ~ (all_52_14 = all_18_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17401) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17402)   ~ (all_52_14 = all_18_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17281), (17389) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17403)   ~ (all_18_0 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (160), (163), (164), (165),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (197), (200), (206), (210), (211), (213), (216),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (373), (13168),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (16568), (16569), (17251), (17252), (17253),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17275), (17287), (17371), (17375), (17393),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17394), (17395), (17397), (17399), (17400),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17402), (17403), (function-axioms) are
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #236.
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17404)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17270), (17404), (function-axioms) are
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #476.
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17405)   ~ (all_8_1 = e1) & op(e3, e0) = all_8_1 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |            $i(all_8_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | ALPHA: (17405) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17406)   ~ (all_8_1 = e1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | |   (17407)  op(e3, e0) = all_8_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (17245) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17408)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_18_1 & $i(all_18_0) &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | ALPHA: (17408) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17409)   ~ (all_18_0 = e1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17410)  op(e0, e3) = all_18_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17411)  op(all_18_1, e0) = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (17270), (17369) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17412)  all_48_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_48_1, e3, e0, simplifying with (17369),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              (17410) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17413)  all_48_1 = all_18_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (17276), (17407) gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17414)  all_8_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_8_1, e0, e3, simplifying with (17288), (17407)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17415)  all_8_1 = all_6_1
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17412), (17413) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17416)  all_18_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17416) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17417)  all_18_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17414), (17415) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17418)  all_6_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17418) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17419)  all_6_1 = e2
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17411), (17417) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17420)  op(e2, e0) = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17289), (17419) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17421)  op(e2, e3) = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_18_0, e0, e2, simplifying with (164), (17420)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17422)  all_52_13 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              all_6_0, e3, e2, simplifying with (167), (17421)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17423)  all_52_1 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (17422) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17424)  all_54_7 = all_18_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17423) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17425)  all_54_4 = all_6_0
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (17423) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17426)   ~ (all_52_9 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17426) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17427)   ~ (all_52_9 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (17422), (17423) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17428)   ~ (all_18_0 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17428) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17429)   ~ (all_18_0 = all_6_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17279), (17423) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17430)   ~ (all_6_0 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (13167), (17423) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17431)   ~ (all_6_0 = e0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (17422) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17432)   ~ (all_52_14 = all_18_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | SIMP: (17432) implies:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17433)   ~ (all_52_14 = all_18_0)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (17281), (17422) imply:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17434)   ~ (all_18_0 = e2)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (160), (163), (164), (165),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (197), (200), (206), (210), (211), (213), (216),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (373), (13168),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (16568), (16569), (17251), (17252), (17253),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17287), (17406), (17407), (17409), (17424),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17425), (17427), (17429), (17430), (17431),
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            (17433), (17434), (function-axioms) are
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #235.
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |   (17435)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17270), (17435), (function-axioms) are
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #476.
% 191.70/30.31  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | |   (17436)   ~ (all_6_1 = e2) & op(e3, e0) = all_6_1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | |            $i(all_6_1)
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | ALPHA: (17436) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | |   (17437)   ~ (all_6_1 = e2)
% 191.70/30.32  | | | | | | | | | | | | | | | | |   (17438)  op(e3, e0) = all_6_1
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | REF_CLOSE: (13176), (17276), (17437), (17438),
% 191.70/30.32  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.32  | | | | | | | | | | | | | | | | |            #256.
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | |   (17439)  all_56_13 = e2 & op(e0, e2) = e2
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | ALPHA: (17439) implies:
% 191.70/30.32  | | | | | | | | | | | | |   (17440)  op(e0, e2) = e2
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | REF_CLOSE: (158), (17266), (17440), (function-axioms) are
% 191.70/30.32  | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | |   (17441)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 191.70/30.32  | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | REF_CLOSE: (9), (157), (16567), (17253), (17441),
% 191.70/30.32  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.32  | | | | | | | | | | | |            #469.
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | |   (17442)  all_54_5 = e1 | all_54_5 = e0
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | REF_CLOSE: (268), (17255), (17257), (17442) are inconsistent
% 191.70/30.32  | | | | | | | | | | |            by sub-proof #1941.
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | 
% 191.70/30.32  | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | 
% 191.70/30.32  | | | | | | | | |   (17443)  all_32_2 = e0
% 191.70/30.32  | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | COMBINE_EQS: (314), (17443) imply:
% 191.70/30.32  | | | | | | | | |   (17444)  all_4_2 = e0
% 191.70/30.32  | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | COMBINE_EQS: (309), (17444) imply:
% 191.70/30.32  | | | | | | | | |   (17445)  all_36_2 = e0
% 191.70/30.32  | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | REDUCE: (373), (17444) imply:
% 191.70/30.32  | | | | | | | | |   (17446)   ~ (e3 = e0)
% 191.70/30.32  | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | REDUCE: (17255), (17444) imply:
% 191.70/30.32  | | | | | | | | |   (17447)   ~ (e1 = e0)
% 191.70/30.32  | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | REDUCE: (36), (17444) imply:
% 191.70/30.32  | | | | | | | | |   (17448)  op(e2, e2) = e0
% 191.70/30.32  | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | BETA: splitting (217) gives:
% 191.70/30.32  | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | |   (17449)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 191.70/30.32  | | | | | | | | | |              & op(e2, e1) = e0)
% 191.70/30.32  | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | BETA: splitting (17449) gives:
% 191.70/30.32  | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | |   (17450)  all_56_4 = e0 & op(e3, e1) = e0
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | REF_CLOSE: (169), (13171), (17450), (function-axioms) are
% 191.70/30.32  | | | | | | | | | | |            inconsistent by sub-proof #406.
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | |   (17451)  all_56_5 = e0 & op(e2, e1) = e0
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | ALPHA: (17451) implies:
% 191.70/30.32  | | | | | | | | | | |   (17452)  all_56_5 = e0
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | BETA: splitting (224) gives:
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | |   (17453)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 191.70/30.32  | | | | | | | | | | | |              & op(e2, e2) = e3)
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (36), (222), (223),
% 191.70/30.32  | | | | | | | | | | | |            (373), (17448), (17452), (17453),
% 191.70/30.32  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.32  | | | | | | | | | | | |            #234.
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | |   (17454)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 191.70/30.32  | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | REF_CLOSE: (7), (164), (17251), (17452), (17454),
% 191.70/30.32  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.32  | | | | | | | | | | | |            #315.
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | |   (17455)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 191.70/30.32  | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.70/30.32  | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | BETA: splitting (17455) gives:
% 191.70/30.32  | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | |   (17456)  all_56_8 = e0 & op(e1, e1) = e0
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | ALPHA: (17456) implies:
% 191.70/30.32  | | | | | | | | | | |   (17457)  op(e1, e1) = e0
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | REF_CLOSE: (5), (16569), (17457), (function-axioms) are
% 191.70/30.32  | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | |   (17458)  all_56_14 = e0 & op(e0, e1) = e0
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | ALPHA: (17458) implies:
% 191.70/30.32  | | | | | | | | | | |   (17459)  all_56_14 = e0
% 191.70/30.32  | | | | | | | | | | |   (17460)  op(e0, e1) = e0
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | BETA: splitting (213) gives:
% 191.70/30.32  | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | |   (17461)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 191.70/30.32  | | | | | | | | | | | |              & op(e1, e2) = e0)
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (226),
% 191.70/30.32  | | | | | | | | | | | |            (227), (228), (373), (13168), (17448), (17461),
% 191.70/30.32  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.32  | | | | | | | | | | | |            #316.
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | |   (17462)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 191.70/30.32  | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | BETA: splitting (17462) gives:
% 191.70/30.32  | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | |   (17463)  all_56_8 = e0 & op(e1, e1) = e0
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | ALPHA: (17463) implies:
% 191.70/30.32  | | | | | | | | | | | | |   (17464)  op(e1, e1) = e0
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | REF_CLOSE: (5), (16569), (17464), (function-axioms) are
% 191.70/30.32  | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | |   (17465)  all_56_11 = e0 & op(e1, e0) = e0
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | ALPHA: (17465) implies:
% 191.70/30.32  | | | | | | | | | | | | |   (17466)  op(e1, e0) = e0
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.70/30.32  | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (17460) gives:
% 191.70/30.32  | | | | | | | | | | | | |   (17467)  all_52_11 = e0
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 191.70/30.32  | | | | | | | | | | | | |              e0, e0, e1, simplifying with (160), (17466) gives:
% 191.70/30.32  | | | | | | | | | | | | |   (17468)  all_52_14 = e0
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | REDUCE: (126), (17468) imply:
% 191.70/30.32  | | | | | | | | | | | | |   (17469)   ~ (all_52_6 = e0)
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | REDUCE: (125), (17467) imply:
% 191.70/30.32  | | | | | | | | | | | | |   (17470)   ~ (all_52_7 = e0)
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | REDUCE: (118), (17467) imply:
% 191.70/30.32  | | | | | | | | | | | | |   (17471)   ~ (all_52_9 = e0)
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | REDUCE: (110), (17468) imply:
% 191.70/30.32  | | | | | | | | | | | | |   (17472)   ~ (all_52_13 = e0)
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | REDUCE: (16568), (17468) imply:
% 191.70/30.32  | | | | | | | | | | | | |   (17473)   ~ (e2 = e0)
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | BETA: splitting (196) gives:
% 191.70/30.32  | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | |   (17474)  all_54_8 = e3
% 191.70/30.32  | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | COMBINE_EQS: (259), (17474) imply:
% 191.70/30.32  | | | | | | | | | | | | | |   (17475)  all_52_2 = e3
% 191.70/30.32  | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | SIMP: (17475) implies:
% 191.70/30.32  | | | | | | | | | | | | | |   (17476)  all_52_2 = e3
% 191.70/30.32  | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | REDUCE: (144), (17476) imply:
% 191.70/30.32  | | | | | | | | | | | | | |   (17477)   ~ (all_52_3 = e3)
% 191.70/30.32  | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | REDUCE: (143), (17476) imply:
% 191.70/30.32  | | | | | | | | | | | | | |   (17478)   ~ (all_52_6 = e3)
% 191.70/30.32  | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | SIMP: (17478) implies:
% 191.70/30.32  | | | | | | | | | | | | | |   (17479)   ~ (all_52_6 = e3)
% 191.70/30.32  | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 191.70/30.32  | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | |   (17480)  all_54_9 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | REF_CLOSE: (258), (17479), (17480) are inconsistent by
% 191.70/30.32  | | | | | | | | | | | | | | |            sub-proof #715.
% 191.70/30.32  | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | |   (17481)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 191.70/30.32  | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | BETA: splitting (17481) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | |   (17482)  all_54_9 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (17482) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | |   (17483)  all_52_6 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | REDUCE: (16564), (17483) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | |   (17484)  $false
% 191.70/30.32  | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | CLOSE: (17484) is inconsistent.
% 191.70/30.32  | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | |   (17485)  all_54_9 = e1 | all_54_9 = e0
% 191.70/30.32  | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | BETA: splitting (17485) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | |   (17486)  all_54_9 = e1
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (17486) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | |   (17487)  all_52_6 = e1
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | REDUCE: (136), (17487) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | |   (17488)   ~ (all_52_4 = e1)
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | REDUCE: (128), (17487) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | |   (17489)   ~ (all_52_7 = e1)
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | SIMP: (17489) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | |   (17490)   ~ (all_52_7 = e1)
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | |   (17491)  all_54_13 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (17491) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | |   (17492)  all_52_7 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | REDUCE: (17249), (17492) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | |   (17493)  $false
% 191.70/30.32  | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | CLOSE: (17493) is inconsistent.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | |   (17494)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 191.70/30.32  | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | BETA: splitting (17494) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | |   (17495)  all_54_13 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (17495) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | |   (17496)  all_52_7 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | REDUCE: (140), (17496) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | |   (17497)   ~ (all_52_3 = e2)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | REDUCE: (135), (17496) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | |   (17498)   ~ (all_52_4 = e2)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | |   (17499)  all_54_12 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (17248), (17499) are inconsistent by
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | |            sub-proof #1466.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | |   (17500)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17500) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | |   (17501)  all_54_12 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (17497), (17501) are inconsistent by
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1465.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | |   (17502)  all_54_12 = e1 | all_54_12 = e0
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | |   (17503)  all_54_1 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (17503) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | |   (17504)  all_52_4 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | SIMP: (17504) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | |   (17505)  all_52_4 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (17505) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | |   (17506)   ~ (all_52_8 = e3)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | SIMP: (17506) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | |   (17507)   ~ (all_52_8 = e3)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (17505) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | |   (17508)   ~ (all_52_12 = e3)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (17505) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | |   (17509)  op(e3, e2) = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | |   (17510)  all_54_2 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (17507), (17510) are inconsistent by
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1762.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | |   (17511)   ~ (all_54_2 = e3)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | |   (17512)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17512) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | |   (17513)  all_54_2 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (16565), (17513) are inconsistent by
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1761.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | |   (17514)   ~ (all_54_2 = e2)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | |   (17515)  all_54_2 = e1 | all_54_2 = e0
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17515) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (17516)  all_54_2 = e1
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (17516) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (17517)  all_52_8 = e1
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17517) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (17518)  all_52_8 = e1
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (17518) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (17519)   ~ (all_52_12 = e1)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17519) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (17520)   ~ (all_52_12 = e1)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17507), (17518) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (17521)   ~ (e3 = e1)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17522)  all_54_3 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (17250), (17522) are inconsistent by
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17523)   ~ (all_54_3 = e3)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17524)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17525)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (13173), (17509), (17525),
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #292.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17526)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17526) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17527)  all_56_4 = e1 & op(e3, e1) = e1
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17527) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17528)  all_56_4 = e1
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17529)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (13173), (17498), (17529),
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #269.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17530)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17530) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17531)  all_56_4 = e2 & op(e3, e1) = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16565), (17531), (function-axioms) are
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17532)  all_56_9 = e2 & op(e3, e0) = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17532) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17533)  all_56_9 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17524) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17534)  all_54_3 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (17534) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17535)  all_52_12 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17535) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17536)  all_52_12 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (17536) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17537)   ~ (all_52_13 = e2)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17537) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17538)   ~ (all_52_13 = e2)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17250), (17536) imply:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17539)   ~ (e3 = e2)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17540)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17540) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17541)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (36), (144), (163), (249), (373),
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13169), (13173), (17502), (17541),
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #335.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17542)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17542) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17543)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (17250), (17543),
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #397.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17544)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17544) gives:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17545)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17545) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17546)  op(e2, e2) = e1
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (125), (157), (158), (162), (170), (225),
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13170), (17460), (17469), (17546),
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #250.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17547)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17547) implies:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17548)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (17509), (17548), (function-axioms)
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17549)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17549) gives:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17550)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17550) gives:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17551)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (13173), (17509), (17538), (17551),
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #395.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17552)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17552) gives:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17553)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17553) implies:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17554)  op(e0, e1) = e1
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (13171), (17515), (17554),
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #296.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17555)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17555) implies:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17556)  op(e0, e0) = e1
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17253), (17556), (function-axioms) are
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17557)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17557) gives:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17558)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17558) gives:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17559)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17559) implies:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17560)  op(e3, e3) = e3
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (226),
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (230), (373), (17448), (17490),
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17528), (17533), (17560), (function-axioms) are
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #455.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17561)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17561) implies:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17562)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (17509), (17562), (function-axioms)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17563)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (16569), (17253), (17563),
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #450.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17564)  all_54_3 = e1 | all_54_3 = e0
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (13172), (17520), (17564) are inconsistent
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1061.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17565)  all_56_9 = e1 & op(e3, e0) = e1
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17565) implies:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17566)  op(e3, e0) = e1
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (17520), (17566), (function-axioms) are
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (17567)  all_54_2 = e0
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (13171), (17567) are inconsistent by
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1389.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | |   (17568)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (13170), (17488), (17498), (17568) are
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1897.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | |   (17569)  all_54_13 = e1 | all_54_13 = e0
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (17470), (17490), (17569) are inconsistent
% 191.70/30.33  | | | | | | | | | | | | | | | | | | |            by sub-proof #1652.
% 191.70/30.33  | | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | |   (17570)  all_54_9 = e0
% 191.70/30.33  | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (17570) imply:
% 191.70/30.33  | | | | | | | | | | | | | | | | |   (17571)  all_52_6 = e0
% 191.70/30.33  | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | REDUCE: (17469), (17571) imply:
% 191.70/30.33  | | | | | | | | | | | | | | | | |   (17572)  $false
% 191.70/30.33  | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | CLOSE: (17572) is inconsistent.
% 191.70/30.33  | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | End of split
% 191.70/30.33  | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | |   (17573)   ~ (all_54_8 = e3)
% 191.70/30.33  | | | | | | | | | | | | | |   (17574)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 191.70/30.33  | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | REDUCE: (259), (17573) imply:
% 191.70/30.33  | | | | | | | | | | | | | |   (17575)   ~ (all_52_2 = e3)
% 191.70/30.33  | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 191.70/30.33  | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | Case 1:
% 191.70/30.33  | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | |   (17576)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 191.70/30.33  | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | BETA: splitting (17576) gives:
% 191.70/30.33  | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | Case 1:
% 191.70/30.33  | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | |   (17577)  all_56_6 = e3 & op(e1, e3) = e3
% 191.70/30.33  | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | ALPHA: (17577) implies:
% 191.70/30.33  | | | | | | | | | | | | | | | |   (17578)  op(e1, e3) = e3
% 191.70/30.33  | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | REF_CLOSE: (163), (17575), (17578), (function-axioms) are
% 191.70/30.33  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 191.70/30.33  | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | Case 2:
% 191.70/30.33  | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | |   (17579)  all_56_7 = e3 & op(e1, e2) = e3
% 191.70/30.33  | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | ALPHA: (17579) implies:
% 191.70/30.33  | | | | | | | | | | | | | | | |   (17580)  all_56_7 = e3
% 191.70/30.33  | | | | | | | | | | | | | | | |   (17581)  op(e1, e2) = e3
% 191.70/30.33  | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 191.70/30.33  | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.33  | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | |   (17582)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 191.70/30.33  | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 191.70/30.33  | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | BETA: splitting (17582) gives:
% 191.70/30.33  | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | Case 1:
% 191.70/30.33  | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | |   (17583)  all_56_0 = e3 & op(e3, e3) = e3
% 191.70/30.33  | | | | | | | | | | | | | | | | | | 
% 191.70/30.33  | | | | | | | | | | | | | | | | | | ALPHA: (17583) implies:
% 191.70/30.33  | | | | | | | | | | | | | | | | | |   (17584)  op(e3, e3) = e3
% 191.70/30.33  | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (82), (103),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (110), (117), (118), (120), (121), (123), (125),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (126), (128), (134), (136), (139), (140), (141),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (143), (144), (145), (146), (148), (149), (157),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (158), (159), (160), (162), (163), (164), (165),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (167), (168), (169), (170), (190), (197), (199),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (200), (202), (206), (208), (210), (211), (213),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (216), (221), (222), (223), (224), (226), (227),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (229), (231), (233), (235), (238), (239), (247),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (260), (268), (269), (271), (349), (356), (358),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (360), (373), (16562), (16565), (16566), (16567),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (16568), (16569), (17245), (17247), (17248),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (17250), (17251), (17252), (17253), (17255),
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            (17575), (17584), (function-axioms) are
% 191.75/30.33  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #467.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | |   (17585)  all_56_2 = e3 & op(e2, e3) = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | ALPHA: (17585) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | |   (17586)  all_56_2 = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | |   (17587)  op(e2, e3) = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | |   (17588)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (17448), (17587), (17588),
% 191.75/30.33  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.75/30.33  | | | | | | | | | | | | | | | | | | |            #1415.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | |   (17589)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 191.75/30.33  | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (17589) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | |   (17590)  all_56_5 = e2 & op(e2, e1) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | ALPHA: (17590) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | |   (17591)  op(e2, e1) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (16566), (17591), (function-axioms) are
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | |   (17592)  all_56_10 = e2 & op(e2, e0) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | ALPHA: (17592) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | |   (17593)  all_56_10 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | |   (17594)  op(e2, e0) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | |   (17595)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17595) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | |   (17596)  all_56_2 = e1 & op(e2, e3) = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17586), (17596) are inconsistent by
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1726.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | |   (17597)  all_56_3 = e1 & op(e2, e2) = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17597) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | |   (17598)  op(e2, e2) = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (125), (157), (158), (162), (170), (225),
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | |            (13170), (17460), (17469), (17598),
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | |            #250.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | |   (17599)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17599) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | |   (17600)  all_56_5 = e1 & op(e2, e1) = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17600) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | |   (17601)  all_56_5 = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | |   (17602)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17602) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |   (17603)  all_56_0 = e2 & op(e3, e3) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17603) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |   (17604)  op(e3, e3) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (17604), (function-axioms) are
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |   (17605)  all_56_2 = e2 & op(e2, e3) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17605) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |   (17606)  all_56_2 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (36), (224), (373), (17593), (17601),
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |            (17606), (function-axioms) are inconsistent by
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1398.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | |   (17607)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17607) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |   (17608)  all_56_6 = e2 & op(e1, e3) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (16563), (17608), (function-axioms) are
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |   (17609)  all_56_12 = e2 & op(e0, e3) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17609) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | |   (17610)  all_56_12 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (17611)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17611) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17612)  all_56_12 = e1 & op(e0, e3) = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17610), (17612) are inconsistent by
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1435.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17613)  all_56_13 = e1 & op(e0, e2) = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17613) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17614)  all_56_13 = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17615)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17615) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17616)  all_56_1 = e2 & op(e3, e2) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17616) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17617)  all_56_1 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17618)  op(e3, e2) = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17574) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17619)  all_54_8 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (17619) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17620)  all_52_2 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16563), (17620) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17621)  $false
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17621) is inconsistent.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17622)  all_54_8 = e1 | all_54_8 = e0
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17622) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17623)  all_54_8 = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (17623) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17624)  all_52_2 = e1
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (17624) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17625)   ~ (all_52_1 = e1)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (17624) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17626)   ~ (all_52_3 = e1)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17626) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17627)   ~ (all_52_3 = e1)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (17624) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17628)   ~ (all_52_6 = e1)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17628) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17629)   ~ (all_52_6 = e1)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17630)  all_54_12 = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (17630) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17631)  all_52_3 = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17248), (17631) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17632)  $false
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17632) is inconsistent.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17633)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17634)  all_54_9 = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (17634) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17635)  all_52_6 = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (17635) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17636)   ~ (all_52_4 = e3)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17635) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17637)   ~ (all_52_7 = e3)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17633) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17638)  all_54_12 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (17638) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17639)  all_52_3 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17639) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17640)  all_52_3 = e2
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (17640) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17641)   ~ (all_52_1 = e2)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (17640) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17642)   ~ (all_52_7 = e2)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17642) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17643)   ~ (all_52_7 = e2)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17644)  all_54_4 = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17644) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17645)  all_52_1 = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17645) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17646)  all_52_1 = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (17646) imply:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17647)   ~ (all_52_9 = e3)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17647) implies:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17648)   ~ (all_52_9 = e3)
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17649)  all_54_6 = e3
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (17648), (17649) are inconsistent by
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17650)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17651)  all_54_13 = e3
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (17249), (17651) are inconsistent by
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17652)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17652) gives:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17653)  all_54_13 = e2
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (17643), (17653) are inconsistent by
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1444.
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17654)   ~ (all_54_13 = e2)
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17655)  all_54_13 = e1 | all_54_13 = e0
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17656)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17656) gives:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17657)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17657) gives:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17658)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (373), (17636), (17658),
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1530.
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17659)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17659) gives:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17660)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17660) implies:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17661)  op(e3, e3) = e1
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (17661), (function-axioms) are
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17662)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17662) implies:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17663)  op(e3, e1) = e1
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (168), (229),
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (233), (236), (13168), (17250), (17586),
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17618), (17663), (function-axioms) are
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #272.
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17664)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17664) gives:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17665)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (17250), (17665),
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #397.
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17666)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17666) gives:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17667)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.75/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17667) implies:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17668)  op(e2, e2) = e1
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (162), (168),
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (13169), (13173), (16564), (16569),
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17250), (17253), (17629), (17668),
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #232.
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17669)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17669) implies:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17670)  op(e1, e2) = e1
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (248), (17470), (17655), (17670),
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #509.
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17671)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17671) gives:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17672)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17672) gives:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17673)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17673) gives:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17674)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17674) implies:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17675)  op(e0, e2) = e2
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (17643), (17675), (function-axioms) are
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17676)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17676) implies:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17677)  op(e2, e0) = e0
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17472), (17677), (function-axioms) are
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17678)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17678) gives:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17679)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17679) implies:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17680)  op(e0, e1) = e1
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (261), (16566), (17471), (17650),
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17680), (function-axioms) are inconsistent by
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #648.
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17681)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17681) implies:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17682)  op(e0, e0) = e1
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17253), (17682), (function-axioms) are
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17683)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17683) gives:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17684)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (225), (229),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (233), (13168), (17580), (17586), (17614),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17617), (17684), (function-axioms) are
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1719.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17685)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (16569), (17253), (17685),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #450.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17686)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (13167), (17625), (17641), (17686) are
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1829.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17687)  all_54_12 = e1 | all_54_12 = e0
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (13169), (17627), (17687) are inconsistent
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #845.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17688)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (258), (16564), (17466), (17629),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17688), (function-axioms) are inconsistent by
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #230.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17689)  all_54_8 = e0
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (17689) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17690)  all_52_2 = e0
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13168), (17690) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17691)  $false
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17691) is inconsistent.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17692)  all_56_3 = e2 & op(e2, e2) = e2
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17692) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17693)  op(e2, e2) = e2
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17448), (17693), (function-axioms) are
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1939.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17694)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17694) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17695)  all_56_7 = e2 & op(e1, e2) = e2
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17695) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17696)  op(e1, e2) = e2
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17581), (17696), (function-axioms) are
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #823.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17697)  all_56_13 = e2 & op(e0, e2) = e2
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17614), (17697) are inconsistent by
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1924.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (17698)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17698) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17699)  all_56_14 = e1 & op(e0, e1) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17699) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17700)  all_56_14 = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17459), (17700) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17701)  e1 = e0
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17601), (17701) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17702)  all_56_5 = e0
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (373), (17445), (17448), (17594),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            (17702), (function-axioms) are inconsistent by
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #229.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17703)  all_56_15 = e1 & op(e0, e0) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17703) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17704)  op(e0, e0) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17253), (17704), (function-axioms) are
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | |   (17705)  all_56_10 = e1 & op(e2, e0) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17705) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | |   (17706)  all_56_10 = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17593), (17706) are inconsistent by
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1197.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17707)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 191.77/30.35  | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (17248), (17575), (17707),
% 191.77/30.35  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.35  | | | | | | | | | | | | | | | | |            #228.
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | |   (17708)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 191.77/30.35  | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (16569), (17252), (17708),
% 191.77/30.35  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.35  | | | | | | | | | | | | | | |            #507.
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | 
% 191.77/30.35  | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | |   (17709)  all_24_2 = e1
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | | COMBINE_EQS: (318), (17709) imply:
% 191.77/30.35  | | | | | | | |   (17710)  all_4_2 = e1
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | | SIMP: (17710) implies:
% 191.77/30.35  | | | | | | | |   (17711)  all_4_2 = e1
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | | REDUCE: (354), (17711) imply:
% 191.77/30.35  | | | | | | | |   (17712)   ~ (all_52_6 = e1)
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | | REDUCE: (373), (17711) imply:
% 191.77/30.35  | | | | | | | |   (17713)   ~ (e3 = e1)
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | | REDUCE: (36), (17711) imply:
% 191.77/30.35  | | | | | | | |   (17714)  op(e2, e2) = e1
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (162), (168),
% 191.77/30.35  | | | | | | | |            (239), (13169), (13173), (16564), (16569), (17250),
% 191.77/30.35  | | | | | | | |            (17253), (17712), (17714), (function-axioms) are
% 191.77/30.35  | | | | | | | |            inconsistent by sub-proof #232.
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | End of split
% 191.77/30.35  | | | | | | | 
% 191.77/30.35  | | | | | | End of split
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | Case 2:
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | |   (17715)  all_14_2 = e1
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | | COMBINE_EQS: (327), (17715) imply:
% 191.77/30.35  | | | | | |   (17716)  all_16_2 = e1
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | | REDUCE: (351), (17715) imply:
% 191.77/30.35  | | | | | |   (17717)   ~ (all_52_3 = e1)
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | | REDUCE: (362), (17715) imply:
% 191.77/30.35  | | | | | |   (17718)   ~ (all_52_7 = e1)
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | | REDUCE: (369), (17715) imply:
% 191.77/30.35  | | | | | |   (17719)   ~ (all_52_11 = e1)
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | | REDUCE: (370), (17715) imply:
% 191.77/30.35  | | | | | |   (17720)   ~ (all_52_12 = e1)
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | | REDUCE: (371), (17715) imply:
% 191.77/30.35  | | | | | |   (17721)   ~ (all_52_13 = e1)
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | | REDUCE: (372), (17715) imply:
% 191.77/30.35  | | | | | |   (17722)   ~ (all_52_14 = e1)
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | | REDUCE: (51), (17715) imply:
% 191.77/30.35  | | | | | |   (17723)  op(e0, e0) = e1
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | | BETA: splitting (55) gives:
% 191.77/30.35  | | | | | | 
% 191.77/30.35  | | | | | | Case 1:
% 191.77/30.35  | | | | | | | 
% 191.77/30.35  | | | | | | |   (17724)   ~ (all_16_2 = e1)
% 191.77/30.35  | | | | | | | 
% 191.77/30.35  | | | | | | | REDUCE: (17716), (17724) imply:
% 191.77/30.35  | | | | | | |   (17725)  $false
% 191.77/30.35  | | | | | | | 
% 191.77/30.35  | | | | | | | CLOSE: (17725) is inconsistent.
% 191.77/30.35  | | | | | | | 
% 191.77/30.35  | | | | | | Case 2:
% 191.77/30.35  | | | | | | | 
% 191.77/30.35  | | | | | | |   (17726)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 191.77/30.35  | | | | | | |              op(e0, e1) = all_16_1 & $i(all_16_0) & $i(all_16_1))
% 191.77/30.35  | | | | | | |            | ( ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 191.77/30.35  | | | | | | |              $i(all_16_1))
% 191.77/30.35  | | | | | | | 
% 191.77/30.35  | | | | | | | BETA: splitting (67) gives:
% 191.77/30.35  | | | | | | | 
% 191.77/30.35  | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | |   (17727)   ~ (all_24_2 = e1)
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | | REDUCE: (318), (17727) imply:
% 191.77/30.35  | | | | | | | |   (17728)   ~ (all_4_2 = e1)
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | | BETA: splitting (79) gives:
% 191.77/30.35  | | | | | | | | 
% 191.77/30.35  | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | 
% 191.77/30.35  | | | | | | | | |   (17729)   ~ (all_32_2 = e0)
% 191.77/30.35  | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | REDUCE: (314), (17729) imply:
% 191.77/30.35  | | | | | | | | |   (17730)   ~ (all_4_2 = e0)
% 191.77/30.35  | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | BETA: splitting (199) gives:
% 191.77/30.35  | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | |   (17731)  all_54_5 = e3
% 191.77/30.35  | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | COMBINE_EQS: (268), (17731) imply:
% 191.77/30.35  | | | | | | | | | |   (17732)  all_4_2 = e3
% 191.77/30.35  | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | REDUCE: (373), (17732) imply:
% 191.77/30.35  | | | | | | | | | |   (17733)  $false
% 191.77/30.35  | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | CLOSE: (17733) is inconsistent.
% 191.77/30.35  | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | |   (17734)   ~ (all_54_5 = e3)
% 191.77/30.35  | | | | | | | | | |   (17735)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 191.77/30.35  | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | BETA: splitting (17735) gives:
% 191.77/30.35  | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | |   (17736)  all_54_5 = e2
% 191.77/30.35  | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | COMBINE_EQS: (268), (17736) imply:
% 191.77/30.35  | | | | | | | | | | |   (17737)  all_4_2 = e2
% 191.77/30.35  | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | REDUCE: (356), (17737) imply:
% 191.77/30.35  | | | | | | | | | | |   (17738)   ~ (all_52_7 = e2)
% 191.77/30.35  | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | REDUCE: (360), (17737) imply:
% 191.77/30.35  | | | | | | | | | | |   (17739)   ~ (all_52_13 = e2)
% 191.77/30.35  | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | REDUCE: (373), (17737) imply:
% 191.77/30.35  | | | | | | | | | | |   (17740)   ~ (e3 = e2)
% 191.77/30.35  | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | REDUCE: (36), (17737) imply:
% 191.77/30.35  | | | | | | | | | | |   (17741)  op(e2, e2) = e2
% 191.77/30.35  | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | BETA: splitting (208) gives:
% 191.77/30.35  | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | |   (17742)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 191.77/30.35  | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 191.77/30.35  | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | BETA: splitting (17742) gives:
% 191.77/30.35  | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | |   (17743)  all_56_12 = e2 & op(e0, e3) = e2
% 191.77/30.35  | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | ALPHA: (17743) implies:
% 191.77/30.35  | | | | | | | | | | | | |   (17744)  all_56_12 = e2
% 191.77/30.35  | | | | | | | | | | | | |   (17745)  op(e0, e3) = e2
% 191.77/30.35  | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | BETA: splitting (211) gives:
% 191.77/30.35  | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | |   (17746)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 191.77/30.35  | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 191.77/30.35  | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | BETA: splitting (17746) gives:
% 191.77/30.35  | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | |   (17747)  all_56_9 = e2 & op(e3, e0) = e2
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | ALPHA: (17747) implies:
% 191.77/30.35  | | | | | | | | | | | | | | |   (17748)  all_56_9 = e2
% 191.77/30.35  | | | | | | | | | | | | | | |   (17749)  op(e3, e0) = e2
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 191.77/30.35  | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (17745) gives:
% 191.77/30.35  | | | | | | | | | | | | | | |   (17750)  all_52_3 = e2
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 191.77/30.35  | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (17749) gives:
% 191.77/30.35  | | | | | | | | | | | | | | |   (17751)  all_52_12 = e2
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | REDUCE: (148), (17750) imply:
% 191.77/30.35  | | | | | | | | | | | | | | |   (17752)   ~ (all_52_1 = e2)
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | REDUCE: (140), (17750) imply:
% 191.77/30.35  | | | | | | | | | | | | | | |   (17753)   ~ (all_52_7 = e2)
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | REDUCE: (133), (17751) imply:
% 191.77/30.35  | | | | | | | | | | | | | | |   (17754)   ~ (all_52_4 = e2)
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | REDUCE: (113), (17751) imply:
% 191.77/30.35  | | | | | | | | | | | | | | |   (17755)   ~ (all_52_13 = e2)
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | REDUCE: (112), (17751) imply:
% 191.77/30.35  | | | | | | | | | | | | | | |   (17756)   ~ (all_52_14 = e2)
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | BETA: splitting (13165) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | |   (17757)   ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 &
% 191.77/30.35  | | | | | | | | | | | | | | | |            op(e3, e0) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 191.77/30.35  | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | ALPHA: (17757) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | |   (17758)   ~ (all_6_0 = e1)
% 191.77/30.35  | | | | | | | | | | | | | | | |   (17759)  op(e3, e0) = all_6_1
% 191.77/30.35  | | | | | | | | | | | | | | | |   (17760)  op(all_6_1, e3) = all_6_0
% 191.77/30.35  | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | BETA: splitting (13176) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17761)   ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 &
% 191.77/30.35  | | | | | | | | | | | | | | | | |            op(e3, e0) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | ALPHA: (17761) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17762)   ~ (all_8_0 = e2)
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17763)  op(e3, e0) = all_8_1
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17764)  op(all_8_1, e3) = all_8_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 191.77/30.35  | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (17749), (17763) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17765)  all_8_1 = e2
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 191.77/30.35  | | | | | | | | | | | | | | | | |              all_8_1, e0, e3, simplifying with (17759), (17763)
% 191.77/30.35  | | | | | | | | | | | | | | | | |              gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17766)  all_8_1 = all_6_1
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (17765), (17766) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17767)  all_6_1 = e2
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (17764), (17765) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17768)  op(e2, e3) = all_8_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (17760), (17767) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17769)  op(e2, e3) = all_6_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.77/30.35  | | | | | | | | | | | | | | | | |              all_6_0, e3, e2, simplifying with (167), (17769)
% 191.77/30.35  | | | | | | | | | | | | | | | | |              gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17770)  all_52_1 = all_6_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.77/30.35  | | | | | | | | | | | | | | | | |              all_8_0, e3, e2, simplifying with (167), (17768)
% 191.77/30.35  | | | | | | | | | | | | | | | | |              gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17771)  all_52_1 = all_8_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (17770), (17771) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17772)  all_8_0 = all_6_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | SIMP: (17772) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17773)  all_8_0 = all_6_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17770) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17774)  all_54_4 = all_6_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (149), (17770) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17775)   ~ (all_52_2 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | SIMP: (17775) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17776)   ~ (all_52_2 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (146), (17770) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17777)   ~ (all_52_9 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | SIMP: (17777) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17778)   ~ (all_52_9 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (145), (17770) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17779)   ~ (all_52_13 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | SIMP: (17779) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17780)   ~ (all_52_13 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (13167), (17770) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17781)   ~ (all_6_0 = e0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (17762), (17773) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17782)   ~ (all_6_0 = e2)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | |   (17783)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | BETA: splitting (17783) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17784)  all_56_0 = e1 & op(e3, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | ALPHA: (17784) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17785)  op(e3, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (17785), (function-axioms) are
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17786)  all_56_2 = e1 & op(e2, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | ALPHA: (17786) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17787)  all_56_2 = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (200), (224), (229), (231), (233), (235), (373),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (13173), (17744), (17758), (17774), (17778),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (17780), (17781), (17782), (17787),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            #227.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | |   (17788)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 191.77/30.35  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | BETA: splitting (17788) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17789)  all_56_6 = e1 & op(e1, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | ALPHA: (17789) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17790)  all_56_6 = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17791)  op(e1, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (36), (110), (117), (118),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (120), (126), (128), (134), (135), (136), (141),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (143), (149), (157), (158), (159), (160), (162),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (163), (164), (168), (169), (170), (191), (193),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (195), (196), (197), (198), (200), (203), (217),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (222), (226), (229), (230), (231), (233), (234),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (235), (236), (238), (239), (248), (250), (258),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (259), (260), (261), (269), (272), (373), (13167),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (13168), (13169), (13171), (13173), (16563),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (16564), (16566), (16568), (16569), (17718),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (17721), (17723), (17726), (17738), (17739),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (17741), (17744), (17748), (17752), (17754),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (17769), (17774), (17776), (17778), (17780),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (17790), (17791), (function-axioms) are
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #224.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17792)  all_56_12 = e1 & op(e0, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | ALPHA: (17792) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17793)  op(e0, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (17717), (17793), (function-axioms) are
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17794)   ~ (all_8_1 = e1) & op(e3, e0) = all_8_1 &
% 191.77/30.35  | | | | | | | | | | | | | | | | |            $i(all_8_1)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | ALPHA: (17794) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17795)   ~ (all_8_1 = e1)
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17796)  op(e3, e0) = all_8_1
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 191.77/30.35  | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (17749), (17796) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17797)  all_8_1 = e2
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 191.77/30.35  | | | | | | | | | | | | | | | | |              all_8_1, e0, e3, simplifying with (17759), (17796)
% 191.77/30.35  | | | | | | | | | | | | | | | | |              gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17798)  all_8_1 = all_6_1
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (17797), (17798) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17799)  all_6_1 = e2
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (17760), (17799) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17800)  op(e2, e3) = all_6_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.77/30.35  | | | | | | | | | | | | | | | | |              all_6_0, e3, e2, simplifying with (167), (17800)
% 191.77/30.35  | | | | | | | | | | | | | | | | |              gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17801)  all_52_1 = all_6_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17801) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17802)  all_54_4 = all_6_0
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (149), (17801) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17803)   ~ (all_52_2 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | SIMP: (17803) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17804)   ~ (all_52_2 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (146), (17801) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17805)   ~ (all_52_9 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | SIMP: (17805) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17806)   ~ (all_52_9 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (145), (17801) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17807)   ~ (all_52_13 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | SIMP: (17807) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17808)   ~ (all_52_13 = all_6_0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (17752), (17801) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17809)   ~ (all_6_0 = e2)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | REDUCE: (13167), (17801) imply:
% 191.77/30.35  | | | | | | | | | | | | | | | | |   (17810)   ~ (all_6_0 = e0)
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | |   (17811)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | BETA: splitting (17811) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17812)  all_56_0 = e1 & op(e3, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | ALPHA: (17812) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17813)  op(e3, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (17813), (function-axioms) are
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17814)  all_56_2 = e1 & op(e2, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | ALPHA: (17814) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17815)  all_56_2 = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (200), (224), (229), (231), (233), (235), (373),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (13173), (17744), (17758), (17802), (17806),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (17808), (17809), (17810), (17815),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            #227.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | |   (17816)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 191.77/30.35  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | BETA: splitting (17816) gives:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17817)  all_56_6 = e1 & op(e1, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | ALPHA: (17817) implies:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17818)  all_56_6 = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |   (17819)  op(e1, e3) = e1
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (36), (110), (117), (118),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (120), (126), (128), (134), (135), (136), (141),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (143), (149), (157), (158), (159), (160), (162),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (163), (164), (168), (169), (170), (191), (193),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (195), (196), (197), (198), (200), (203), (217),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (222), (226), (229), (230), (231), (233), (234),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (235), (236), (238), (239), (248), (250), (258),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (259), (260), (261), (269), (272), (373), (13167),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (13168), (13169), (13171), (13173), (16563),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (16564), (16566), (16568), (16569), (17718),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (17721), (17723), (17726), (17738), (17739),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (17741), (17744), (17748), (17752), (17754),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (17800), (17802), (17804), (17806), (17808),
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            (17818), (17819), (function-axioms) are
% 191.77/30.35  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #224.
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.35  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.35  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | | |   (17820)  all_56_12 = e1 & op(e0, e3) = e1
% 191.77/30.36  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | | | ALPHA: (17820) implies:
% 191.77/30.36  | | | | | | | | | | | | | | | | | | |   (17821)  op(e0, e3) = e1
% 191.77/30.36  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (17717), (17821), (function-axioms) are
% 191.77/30.36  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 191.77/30.36  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | |   (17822)   ~ (all_6_1 = e2) & op(e3, e0) = all_6_1 &
% 191.77/30.36  | | | | | | | | | | | | | | | |            $i(all_6_1)
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | ALPHA: (17822) implies:
% 191.77/30.36  | | | | | | | | | | | | | | | |   (17823)   ~ (all_6_1 = e2)
% 191.77/30.36  | | | | | | | | | | | | | | | |   (17824)  op(e3, e0) = all_6_1
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | REF_CLOSE: (13176), (17749), (17823), (17824),
% 191.77/30.36  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.36  | | | | | | | | | | | | | | | |            #256.
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | |   (17825)  all_56_10 = e2 & op(e2, e0) = e2
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | ALPHA: (17825) implies:
% 191.77/30.36  | | | | | | | | | | | | | | |   (17826)  op(e2, e0) = e2
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | REF_CLOSE: (164), (17739), (17826), (function-axioms) are
% 191.77/30.36  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | |   (17827)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 191.77/30.36  | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (16568), (17723), (17827),
% 191.77/30.36  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.36  | | | | | | | | | | | | | |            #409.
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | |   (17828)  all_56_13 = e2 & op(e0, e2) = e2
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | ALPHA: (17828) implies:
% 191.77/30.36  | | | | | | | | | | | | |   (17829)  op(e0, e2) = e2
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | REF_CLOSE: (158), (17738), (17829), (function-axioms) are
% 191.77/30.36  | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | |   (17830)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 191.77/30.36  | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | REF_CLOSE: (6), (157), (16567), (17723), (17830),
% 191.77/30.36  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.36  | | | | | | | | | | | |            #410.
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | |   (17831)  all_54_5 = e1 | all_54_5 = e0
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | REF_CLOSE: (268), (17728), (17730), (17831) are inconsistent
% 191.77/30.36  | | | | | | | | | | |            by sub-proof #1941.
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | 
% 191.77/30.36  | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | 
% 191.77/30.36  | | | | | | | | |   (17832)  all_32_2 = e0
% 191.77/30.36  | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | COMBINE_EQS: (314), (17832) imply:
% 191.77/30.36  | | | | | | | | |   (17833)  all_4_2 = e0
% 191.77/30.36  | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | COMBINE_EQS: (309), (17833) imply:
% 191.77/30.36  | | | | | | | | |   (17834)  all_36_2 = e0
% 191.77/30.36  | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | REDUCE: (373), (17833) imply:
% 191.77/30.36  | | | | | | | | |   (17835)   ~ (e3 = e0)
% 191.77/30.36  | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | REDUCE: (17728), (17833) imply:
% 191.77/30.36  | | | | | | | | |   (17836)   ~ (e1 = e0)
% 191.77/30.36  | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | REDUCE: (36), (17833) imply:
% 191.77/30.36  | | | | | | | | |   (17837)  op(e2, e2) = e0
% 191.77/30.36  | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | BETA: splitting (217) gives:
% 191.77/30.36  | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | |   (17838)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 191.77/30.36  | | | | | | | | | |              & op(e2, e1) = e0)
% 191.77/30.36  | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | BETA: splitting (17838) gives:
% 191.77/30.36  | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | |   (17839)  all_56_4 = e0 & op(e3, e1) = e0
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | REF_CLOSE: (169), (13171), (17839), (function-axioms) are
% 191.77/30.36  | | | | | | | | | | |            inconsistent by sub-proof #406.
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | |   (17840)  all_56_5 = e0 & op(e2, e1) = e0
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | ALPHA: (17840) implies:
% 191.77/30.36  | | | | | | | | | | |   (17841)  all_56_5 = e0
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | BETA: splitting (223) gives:
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | |   (17842)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 191.77/30.36  | | | | | | | | | | | |              & op(e2, e2) = e2)
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (164), (222), (17721), (17837),
% 191.77/30.36  | | | | | | | | | | | |            (17841), (17842), (function-axioms) are
% 191.77/30.36  | | | | | | | | | | | |            inconsistent by sub-proof #871.
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | |   (17843)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 191.77/30.36  | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | BETA: splitting (17843) gives:
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | |   (17844)  all_56_5 = e2 & op(e2, e1) = e2
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | ALPHA: (17844) implies:
% 191.77/30.36  | | | | | | | | | | | | |   (17845)  all_56_5 = e2
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | REF_CLOSE: (5), (17841), (17845) are inconsistent by
% 191.77/30.36  | | | | | | | | | | | | |            sub-proof #1860.
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | |   (17846)  all_56_10 = e2 & op(e2, e0) = e2
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | ALPHA: (17846) implies:
% 191.77/30.36  | | | | | | | | | | | | |   (17847)  op(e2, e0) = e2
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (85), (222),
% 191.77/30.36  | | | | | | | | | | | | |            (223), (224), (373), (17834), (17837), (17841),
% 191.77/30.36  | | | | | | | | | | | | |            (17847), (function-axioms) are inconsistent by
% 191.77/30.36  | | | | | | | | | | | | |            sub-proof #229.
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | |   (17848)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 191.77/30.36  | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.77/30.36  | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | BETA: splitting (17848) gives:
% 191.77/30.36  | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | |   (17849)  all_56_8 = e0 & op(e1, e1) = e0
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | ALPHA: (17849) implies:
% 191.77/30.36  | | | | | | | | | | |   (17850)  op(e1, e1) = e0
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | REF_CLOSE: (5), (16569), (17850), (function-axioms) are
% 191.77/30.36  | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | |   (17851)  all_56_14 = e0 & op(e0, e1) = e0
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | ALPHA: (17851) implies:
% 191.77/30.36  | | | | | | | | | | |   (17852)  op(e0, e1) = e0
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | BETA: splitting (213) gives:
% 191.77/30.36  | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | |   (17853)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 191.77/30.36  | | | | | | | | | | | |              & op(e1, e2) = e0)
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (226),
% 191.77/30.36  | | | | | | | | | | | |            (227), (228), (373), (13168), (17837), (17853),
% 191.77/30.36  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.36  | | | | | | | | | | | |            #316.
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | |   (17854)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 191.77/30.36  | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | BETA: splitting (17854) gives:
% 191.77/30.36  | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | |   (17855)  all_56_8 = e0 & op(e1, e1) = e0
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | ALPHA: (17855) implies:
% 191.77/30.36  | | | | | | | | | | | | |   (17856)  op(e1, e1) = e0
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | REF_CLOSE: (5), (16569), (17856), (function-axioms) are
% 191.77/30.36  | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | |   (17857)  all_56_11 = e0 & op(e1, e0) = e0
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | ALPHA: (17857) implies:
% 191.77/30.36  | | | | | | | | | | | | |   (17858)  op(e1, e0) = e0
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.77/30.36  | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (17852) gives:
% 191.77/30.36  | | | | | | | | | | | | |   (17859)  all_52_11 = e0
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 191.77/30.36  | | | | | | | | | | | | |              e0, e0, e1, simplifying with (160), (17858) gives:
% 191.77/30.36  | | | | | | | | | | | | |   (17860)  all_52_14 = e0
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | REDUCE: (126), (17860) imply:
% 191.77/30.36  | | | | | | | | | | | | |   (17861)   ~ (all_52_6 = e0)
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | REDUCE: (16568), (17860) imply:
% 191.77/30.36  | | | | | | | | | | | | |   (17862)   ~ (e2 = e0)
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.77/30.36  | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | |   (17863)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.77/30.36  | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.77/30.36  | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.77/30.36  | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.77/30.36  | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.36  | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.77/30.36  | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.77/30.36  | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.77/30.36  | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.77/30.36  | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.77/30.36  | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.77/30.36  | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.77/30.36  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.77/30.36  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.77/30.36  | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.77/30.36  | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.77/30.36  | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.77/30.36  | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.77/30.36  | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.77/30.36  | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.77/30.36  | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.77/30.36  | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | BETA: splitting (17863) gives:
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | |   (17864)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.77/30.36  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.77/30.36  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.77/30.36  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.77/30.36  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.36  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.77/30.36  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | BETA: splitting (17864) gives:
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | |   (17865)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.77/30.36  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (16569), (17723), (17865),
% 191.77/30.36  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.36  | | | | | | | | | | | | | | | |            #445.
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | |   (17866)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.77/30.36  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.77/30.36  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (373), (17723), (17866),
% 191.77/30.36  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.36  | | | | | | | | | | | | | | | |            #980.
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | |   (17867)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.77/30.36  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.77/30.36  | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.77/30.36  | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 191.77/30.36  | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.77/30.36  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.77/30.36  | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 191.77/30.36  | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 191.77/30.36  | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.77/30.36  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 191.77/30.36  | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.77/30.36  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_10))
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | BETA: splitting (17867) gives:
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | |   (17868)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.77/30.36  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.77/30.36  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 191.77/30.36  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | BETA: splitting (17868) gives:
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17869)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.77/30.36  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 191.77/30.36  | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 191.77/30.36  | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | ALPHA: (17869) implies:
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17870)   ~ (all_57_4 = e1)
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17871)  op(e1, e2) = all_57_4
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17872)  op(e3, e2) = e3
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 191.77/30.36  | | | | | | | | | | | | | | | | |              all_57_4, e2, e1, simplifying with (162), (17871)
% 191.77/30.36  | | | | | | | | | | | | | | | | |              gives:
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17873)  all_57_4 = all_52_6
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 191.77/30.36  | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (17872) gives:
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17874)  all_52_4 = e3
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | REDUCE: (17870), (17873) imply:
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17875)   ~ (all_52_6 = e1)
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | REDUCE: (136), (17874) imply:
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17876)   ~ (all_52_6 = e3)
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | SIMP: (17876) implies:
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17877)   ~ (all_52_6 = e3)
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | |   (17878)  all_54_9 = e3
% 191.77/30.36  | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (17877), (17878) are inconsistent by
% 191.77/30.36  | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 191.77/30.36  | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | |   (17879)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 191.77/30.36  | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (258), (16564), (17858), (17875),
% 191.77/30.36  | | | | | | | | | | | | | | | | | |            (17879), (function-axioms) are inconsistent by
% 191.77/30.36  | | | | | | | | | | | | | | | | | |            sub-proof #230.
% 191.77/30.36  | | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17880)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.77/30.36  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.77/30.36  | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.77/30.36  | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | ALPHA: (17880) implies:
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17881)  op(e0, e0) = e2
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17723), (17881), (function-axioms) are
% 191.77/30.36  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | |   (17882)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 191.77/30.36  | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 191.77/30.36  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 191.77/30.36  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.77/30.36  | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.77/30.36  | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (125), (157), (158), (162), (170),
% 191.77/30.36  | | | | | | | | | | | | | | | |            (225), (13170), (13173), (16569), (17852),
% 191.77/30.36  | | | | | | | | | | | | | | | |            (17861), (17882), (function-axioms) are
% 191.77/30.36  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #249.
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | End of split
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | |   (17883)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.77/30.36  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.77/30.36  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.77/30.36  | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.77/30.36  | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.77/30.36  | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.77/30.36  | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.77/30.36  | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.77/30.36  | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.77/30.36  | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.77/30.36  | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.77/30.36  | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.77/30.36  | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.77/30.36  | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.77/30.36  | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.77/30.36  | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.77/30.36  | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.77/30.36  | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.77/30.36  | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.77/30.36  | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.77/30.36  | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.77/30.36  | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.77/30.36  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.77/30.36  | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.77/30.36  | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.77/30.36  | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.77/30.36  | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.77/30.36  | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.36  | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.77/30.36  | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.77/30.36  | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.77/30.36  | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.77/30.36  | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.77/30.36  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.77/30.36  | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.77/30.36  | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.77/30.36  | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.77/30.36  | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.77/30.36  | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.77/30.36  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.77/30.36  | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.77/30.36  | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.77/30.36  | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.77/30.36  | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | BETA: splitting (17883) gives:
% 191.77/30.36  | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | |   (17884)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.77/30.36  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.77/30.36  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.77/30.36  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.77/30.36  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.77/30.36  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.77/30.36  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.77/30.36  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.77/30.36  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.77/30.36  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (17726), (17852), (17884),
% 191.77/30.36  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.36  | | | | | | | | | | | | | | |            #285.
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | |   (17885)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.77/30.36  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.77/30.36  | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.77/30.36  | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.77/30.36  | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.77/30.36  | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.77/30.36  | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.77/30.36  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.77/30.36  | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.77/30.36  | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.77/30.36  | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.77/30.36  | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.77/30.36  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.77/30.36  | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.36  | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.77/30.36  | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.77/30.36  | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.77/30.36  | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.77/30.36  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.77/30.36  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.77/30.36  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.77/30.36  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.77/30.36  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.77/30.36  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.77/30.36  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.77/30.36  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.77/30.36  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.77/30.36  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.77/30.36  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.77/30.36  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.77/30.36  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.77/30.36  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | BETA: splitting (17885) gives:
% 191.77/30.36  | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | |   (17886)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.77/30.36  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.77/30.36  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.77/30.36  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.77/30.36  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.77/30.36  | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | REF_CLOSE: (160), (17722), (17837), (17886),
% 191.77/30.36  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.36  | | | | | | | | | | | | | | | |            #284.
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | |   (17887)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.77/30.36  | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.77/30.36  | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.77/30.36  | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.77/30.36  | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.77/30.36  | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.77/30.36  | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.77/30.36  | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.77/30.36  | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.36  | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.77/30.36  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.77/30.36  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.77/30.36  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.77/30.36  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.77/30.36  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.77/30.36  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.77/30.36  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.77/30.36  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.77/30.36  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.77/30.36  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.77/30.36  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.77/30.36  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.77/30.36  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | BETA: splitting (17887) gives:
% 191.77/30.36  | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17888)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.77/30.36  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.77/30.36  | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.77/30.36  | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.77/30.36  | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | ALPHA: (17888) implies:
% 191.77/30.36  | | | | | | | | | | | | | | | | |   (17889)  op(e1, e1) = e0
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16569), (17889), (function-axioms) are
% 191.77/30.36  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.36  | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.36  | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | |   (17890)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.77/30.37  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.77/30.37  | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | BETA: splitting (17890) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | |   (17891)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | ALPHA: (17891) implies:
% 191.77/30.37  | | | | | | | | | | | | | | | | | |   (17892)  op(e1, e0) = e1
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (17722), (17892), (function-axioms) are
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | |   (17893)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | ALPHA: (17893) implies:
% 191.77/30.37  | | | | | | | | | | | | | | | | | |   (17894)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | BETA: splitting (17894) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |   (17895)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | BETA: splitting (17895) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |   (17896)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | ALPHA: (17896) implies:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |   (17897)  op(e2, e2) = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (17897), (function-axioms) are
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1975.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |   (17898)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17898) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |   (17899)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | ALPHA: (17899) implies:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |   (17900)  op(e0, e3) = e0
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13169), (17900), (function-axioms) are
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |   (17901)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | ALPHA: (17901) implies:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |   (17902)  op(e0, e2) = e0
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (157), (158), (17852), (17902),
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            #493.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |   (17903)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | BETA: splitting (17903) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |   (17904)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | ALPHA: (17904) implies:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |   (17905)  op(e0, e2) = e0
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (157), (158), (17852), (17905),
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |            #493.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |   (17906)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17906) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |   (17907)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | ALPHA: (17907) implies:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |   (17908)  op(e3, e3) = e1
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13173), (17908), (function-axioms) are
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |   (17909)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | ALPHA: (17909) implies:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |   (17910)  op(e2, e2) = e1
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (125), (157), (158), (162), (170), (225),
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            (13170), (17852), (17861), (17910),
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | |            #250.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | 
% 191.77/30.37  | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | |   (17911)  all_24_2 = e1
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | | COMBINE_EQS: (318), (17911) imply:
% 191.77/30.37  | | | | | | | |   (17912)  all_4_2 = e1
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | | SIMP: (17912) implies:
% 191.77/30.37  | | | | | | | |   (17913)  all_4_2 = e1
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | | REDUCE: (352), (17913) imply:
% 191.77/30.37  | | | | | | | |   (17914)   ~ (all_52_4 = e1)
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | | REDUCE: (354), (17913) imply:
% 191.77/30.37  | | | | | | | |   (17915)   ~ (all_52_6 = e1)
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | | REDUCE: (358), (17913) imply:
% 191.77/30.37  | | | | | | | |   (17916)   ~ (all_52_9 = e1)
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | | REDUCE: (373), (17913) imply:
% 191.77/30.37  | | | | | | | |   (17917)   ~ (e3 = e1)
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | | REDUCE: (36), (17913) imply:
% 191.77/30.37  | | | | | | | |   (17918)  op(e2, e2) = e1
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | | BETA: splitting (218) gives:
% 191.77/30.37  | | | | | | | | 
% 191.77/30.37  | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | 
% 191.77/30.37  | | | | | | | | |   (17919)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 191.77/30.37  | | | | | | | | |              & op(e2, e1) = e1)
% 191.77/30.37  | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | BETA: splitting (17919) gives:
% 191.77/30.37  | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | |   (17920)  all_56_4 = e1 & op(e3, e1) = e1
% 191.77/30.37  | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | ALPHA: (17920) implies:
% 191.77/30.37  | | | | | | | | | |   (17921)  all_56_4 = e1
% 191.77/30.37  | | | | | | | | | |   (17922)  op(e3, e1) = e1
% 191.77/30.37  | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | BETA: splitting (201) gives:
% 191.77/30.37  | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | |   (17923)  all_54_3 = e3
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | COMBINE_EQS: (270), (17923) imply:
% 191.77/30.37  | | | | | | | | | | |   (17924)  all_52_12 = e3
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | SIMP: (17924) implies:
% 191.77/30.37  | | | | | | | | | | |   (17925)  all_52_12 = e3
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | REDUCE: (133), (17925) imply:
% 191.77/30.37  | | | | | | | | | | |   (17926)   ~ (all_52_4 = e3)
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | REDUCE: (113), (17925) imply:
% 191.77/30.37  | | | | | | | | | | |   (17927)   ~ (all_52_13 = e3)
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | SIMP: (17927) implies:
% 191.77/30.37  | | | | | | | | | | |   (17928)   ~ (all_52_13 = e3)
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | REDUCE: (112), (17925) imply:
% 191.77/30.37  | | | | | | | | | | |   (17929)   ~ (all_52_14 = e3)
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | SIMP: (17929) implies:
% 191.77/30.37  | | | | | | | | | | |   (17930)   ~ (all_52_14 = e3)
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | BETA: splitting (193) gives:
% 191.77/30.37  | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | |   (17931)  all_54_11 = e3
% 191.77/30.37  | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | REF_CLOSE: (250), (17930), (17931) are inconsistent by
% 191.77/30.37  | | | | | | | | | | | |            sub-proof #1277.
% 191.77/30.37  | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | |   (17932)   ~ (all_54_11 = e3)
% 191.77/30.37  | | | | | | | | | | | |   (17933)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 191.77/30.37  | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | BETA: splitting (17933) gives:
% 191.77/30.37  | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | |   (17934)  all_54_11 = e2
% 191.77/30.37  | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | REF_CLOSE: (250), (16568), (17934) are inconsistent by
% 191.77/30.37  | | | | | | | | | | | | |            sub-proof #1339.
% 191.77/30.37  | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | |   (17935)  all_54_11 = e1 | all_54_11 = e0
% 191.77/30.37  | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | BETA: splitting (17935) gives:
% 191.77/30.37  | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | |   (17936)  all_54_11 = e1
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | REF_CLOSE: (250), (17722), (17936) are inconsistent by
% 191.77/30.37  | | | | | | | | | | | | | |            sub-proof #1338.
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | |   (17937)  all_54_11 = e0
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | COMBINE_EQS: (250), (17937) imply:
% 191.77/30.37  | | | | | | | | | | | | | |   (17938)  all_52_14 = e0
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | SIMP: (17938) implies:
% 191.77/30.37  | | | | | | | | | | | | | |   (17939)  all_52_14 = e0
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | REDUCE: (126), (17939) imply:
% 191.77/30.37  | | | | | | | | | | | | | |   (17940)   ~ (all_52_6 = e0)
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | REDUCE: (110), (17939) imply:
% 191.77/30.37  | | | | | | | | | | | | | |   (17941)   ~ (all_52_13 = e0)
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | REDUCE: (17930), (17939) imply:
% 191.77/30.37  | | | | | | | | | | | | | |   (17942)   ~ (e3 = e0)
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | REDUCE: (17722), (17939) imply:
% 191.77/30.37  | | | | | | | | | | | | | |   (17943)   ~ (e1 = e0)
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 191.77/30.37  | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | |   (17944)  all_54_7 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | REF_CLOSE: (260), (17928), (17944) are inconsistent by
% 191.77/30.37  | | | | | | | | | | | | | | |            sub-proof #1484.
% 191.77/30.37  | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | |   (17945)   ~ (all_54_7 = e3)
% 191.77/30.37  | | | | | | | | | | | | | | |   (17946)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 191.77/30.37  | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | BETA: splitting (17946) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | |   (17947)  all_54_7 = e2
% 191.77/30.37  | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (17947) imply:
% 191.77/30.37  | | | | | | | | | | | | | | | |   (17948)  all_52_13 = e2
% 191.77/30.37  | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | SIMP: (17948) implies:
% 191.77/30.37  | | | | | | | | | | | | | | | |   (17949)  all_52_13 = e2
% 191.77/30.37  | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | REDUCE: (17928), (17949) imply:
% 191.77/30.37  | | | | | | | | | | | | | | | |   (17950)   ~ (e3 = e2)
% 191.77/30.37  | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | REDUCE: (164), (17949) imply:
% 191.77/30.37  | | | | | | | | | | | | | | | |   (17951)  op(e2, e0) = e2
% 191.77/30.37  | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | |   (17952)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.37  | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | BETA: splitting (17952) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | |   (17953)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | BETA: splitting (17953) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |   (17954)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (17918), (17926), (17954),
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            #1673.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |   (17955)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (13173), (16569), (17955),
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            #233.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | |   (17956)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | BETA: splitting (17956) gives:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |   (17957)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (13169), (17918), (17951), (17957),
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            #354.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |   (17958)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (195), (258), (16564), (17915), (17940),
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            (17958), (function-axioms) are inconsistent by
% 191.77/30.37  | | | | | | | | | | | | | | | | | | |            sub-proof #446.
% 191.77/30.37  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | | End of split
% 191.77/30.37  | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.37  | | | | | | | | | | | | | | | | | 
% 191.77/30.37  | | | | | | | | | | | | | | | | |   (17959)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.37  | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.37  | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.37  | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.37  | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.38  | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | BETA: splitting (17959) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | |   (17960)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | BETA: splitting (17960) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |   (17961)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (17918), (17941), (17961),
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            #642.
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |   (17962)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | BETA: splitting (17962) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |   (17963)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | ALPHA: (17963) implies:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |   (17964)  op(e0, e1) = e1
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (17719), (17964), (function-axioms) are
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1885.
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |   (17965)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | ALPHA: (17965) implies:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |   (17966)  op(e0, e1) = e0
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (125), (157), (158), (162), (170), (225),
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            (13170), (17918), (17940), (17966),
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            #250.
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | |   (17967)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | BETA: splitting (17967) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |   (17968)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (13173), (17918), (17968),
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            #357.
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |   (17969)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (16569), (17918), (17951), (17969),
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            #415.
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | |   (17970)  all_54_7 = e1 | all_54_7 = e0
% 191.77/30.38  | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | REF_CLOSE: (260), (17721), (17941), (17970) are inconsistent
% 191.77/30.38  | | | | | | | | | | | | | | | |            by sub-proof #1376.
% 191.77/30.38  | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | |   (17971)   ~ (all_54_3 = e3)
% 191.77/30.38  | | | | | | | | | | |   (17972)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 191.77/30.38  | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | REDUCE: (270), (17971) imply:
% 191.77/30.38  | | | | | | | | | | |   (17973)   ~ (all_52_12 = e3)
% 191.77/30.38  | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | BETA: splitting (17972) gives:
% 191.77/30.38  | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | |   (17974)  all_54_3 = e2
% 191.77/30.38  | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | COMBINE_EQS: (270), (17974) imply:
% 191.77/30.38  | | | | | | | | | | | |   (17975)  all_52_12 = e2
% 191.77/30.38  | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | SIMP: (17975) implies:
% 191.77/30.38  | | | | | | | | | | | |   (17976)  all_52_12 = e2
% 191.77/30.38  | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | REDUCE: (133), (17976) imply:
% 191.77/30.38  | | | | | | | | | | | |   (17977)   ~ (all_52_4 = e2)
% 191.77/30.38  | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | REDUCE: (113), (17976) imply:
% 191.77/30.38  | | | | | | | | | | | |   (17978)   ~ (all_52_13 = e2)
% 191.77/30.38  | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | SIMP: (17978) implies:
% 191.77/30.38  | | | | | | | | | | | |   (17979)   ~ (all_52_13 = e2)
% 191.77/30.38  | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | BETA: splitting (236) gives:
% 191.77/30.38  | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | |   (17980)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 191.77/30.38  | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 191.77/30.38  | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | BETA: splitting (17980) gives:
% 191.77/30.38  | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | |   (17981)  all_56_0 = e3 & op(e3, e3) = e3
% 191.77/30.38  | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | ALPHA: (17981) implies:
% 191.77/30.38  | | | | | | | | | | | | | |   (17982)  op(e3, e3) = e3
% 191.77/30.38  | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | REF_CLOSE: (7), (13173), (17982), (function-axioms) are
% 191.77/30.38  | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 191.77/30.38  | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | |   (17983)  all_56_1 = e3 & op(e3, e2) = e3
% 191.77/30.38  | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | ALPHA: (17983) implies:
% 191.77/30.38  | | | | | | | | | | | | | |   (17984)  all_56_1 = e3
% 191.77/30.38  | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 191.77/30.38  | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | |   (17985)  all_54_1 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | COMBINE_EQS: (272), (17985) imply:
% 191.77/30.38  | | | | | | | | | | | | | | |   (17986)  all_52_4 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | REDUCE: (136), (17986) imply:
% 191.77/30.38  | | | | | | | | | | | | | | |   (17987)   ~ (all_52_6 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | SIMP: (17987) implies:
% 191.77/30.38  | | | | | | | | | | | | | | |   (17988)   ~ (all_52_6 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | REDUCE: (170), (17986) imply:
% 191.77/30.38  | | | | | | | | | | | | | | |   (17989)  op(e3, e2) = e3
% 191.77/30.38  | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | |   (17990)  all_54_9 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | REF_CLOSE: (258), (17988), (17990) are inconsistent by
% 191.77/30.38  | | | | | | | | | | | | | | | |            sub-proof #715.
% 191.77/30.38  | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | |   (17991)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 191.77/30.38  | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | |   (17992)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 191.77/30.38  | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 191.77/30.38  | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | BETA: splitting (17992) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | |   (17993)  all_56_2 = e2 & op(e2, e3) = e2
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | ALPHA: (17993) implies:
% 191.77/30.38  | | | | | | | | | | | | | | | | | |   (17994)  op(e2, e3) = e2
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |   (17995)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | BETA: splitting (17995) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |   (17996)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17996) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |   (17997)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (13173), (17918), (17997),
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |            #364.
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |   (17998)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (373), (13173), (17994), (17998),
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |            #239.
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |   (17999)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17999) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |   (18000)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (13169), (17973), (18000),
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |            #397.
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |   (18001)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18001) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |   (18002)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18002) implies:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |   (18003)  op(e1, e2) = e2
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (16564), (18003), (function-axioms) are
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #429.
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |   (18004)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18004) implies:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |   (18005)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13173), (17989), (18005), (function-axioms)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #396.
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |   (18006)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.38  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | BETA: splitting (18006) gives:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.38  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |   (18007)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | BETA: splitting (18007) gives:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |   (18008)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (13173), (17979), (17989), (18008),
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            #395.
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |   (18009)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18009) gives:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |   (18010)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18010) implies:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |   (18011)  op(e0, e1) = e1
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (17719), (18011), (function-axioms) are
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1885.
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |   (18012)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18012) implies:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |   (18013)  op(e1, e0) = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (258), (16564), (17915), (17991),
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |            (18013), (function-axioms) are inconsistent by
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #230.
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |   (18014)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | BETA: splitting (18014) gives:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |   (18015)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (230), (232),
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            (234), (13173), (17720), (17921), (17984),
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            (17989), (18015), (function-axioms) are
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #350.
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |   (18016)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (16569), (17723), (18016),
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            #437.
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | |   (18017)  all_56_3 = e2 & op(e2, e2) = e2
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | ALPHA: (18017) implies:
% 191.77/30.39  | | | | | | | | | | | | | | | | | |   (18018)  op(e2, e2) = e2
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17918), (18018), (function-axioms) are
% 191.77/30.39  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1783.
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | |   (18019)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 191.77/30.39  | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 191.77/30.39  | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (16566), (17979), (18019),
% 191.77/30.39  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.39  | | | | | | | | | | | | | | | | |            #1661.
% 191.77/30.39  | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | |   (18020)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 191.77/30.39  | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | REF_CLOSE: (272), (13170), (17914), (17977), (18020) are
% 191.77/30.39  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1897.
% 191.77/30.39  | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | |   (18021)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 191.77/30.39  | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | REF_CLOSE: (8), (168), (17922), (17973), (18021),
% 191.77/30.39  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.39  | | | | | | | | | | | | |            #273.
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | |   (18022)  all_54_3 = e1 | all_54_3 = e0
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | REF_CLOSE: (270), (13172), (17720), (18022) are inconsistent
% 191.77/30.39  | | | | | | | | | | | |            by sub-proof #1061.
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | |   (18023)  all_56_5 = e1 & op(e2, e1) = e1
% 191.77/30.39  | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | ALPHA: (18023) implies:
% 191.77/30.39  | | | | | | | | | |   (18024)  op(e2, e1) = e1
% 191.77/30.39  | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | REF_CLOSE: (165), (17916), (18024), (function-axioms) are
% 191.77/30.39  | | | | | | | | | |            inconsistent by sub-proof #1755.
% 191.77/30.39  | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | | 
% 191.77/30.39  | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | 
% 191.77/30.39  | | | | | | | | |   (18025)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1
% 191.77/30.39  | | | | | | | | |              & op(e0, e1) = e1)
% 191.77/30.39  | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | REF_CLOSE: (6), (157), (16569), (17719), (18025),
% 191.77/30.39  | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.39  | | | | | | | | |            #460.
% 191.77/30.39  | | | | | | | | | 
% 191.77/30.39  | | | | | | | | End of split
% 191.77/30.39  | | | | | | | | 
% 191.77/30.39  | | | | | | | End of split
% 191.77/30.39  | | | | | | | 
% 191.77/30.39  | | | | | | End of split
% 191.77/30.39  | | | | | | 
% 191.77/30.39  | | | | | End of split
% 191.77/30.39  | | | | | 
% 191.77/30.39  | | | | End of split
% 191.77/30.39  | | | | 
% 191.77/30.39  | | | End of split
% 191.77/30.39  | | | 
% 191.77/30.39  | | End of split
% 191.77/30.39  | | 
% 191.77/30.39  | Case 2:
% 191.77/30.39  | | 
% 191.77/30.39  | |   (18026)  all_4_2 = e3
% 191.77/30.39  | |   (18027)  ( ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 & op(e2, e3) =
% 191.77/30.39  | |              all_4_1 & $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e1) &
% 191.77/30.39  | |              op(e2, e3) = all_4_1 & $i(all_4_1))
% 191.77/30.39  | | 
% 191.77/30.39  | | COMBINE_EQS: (305), (18026) imply:
% 191.77/30.39  | |   (18028)  all_40_2 = e3
% 191.77/30.39  | | 
% 191.77/30.39  | | REDUCE: (349), (18026) imply:
% 191.77/30.39  | |   (18029)   ~ (all_52_1 = e3)
% 191.77/30.39  | | 
% 191.77/30.39  | | REDUCE: (352), (18026) imply:
% 191.77/30.39  | |   (18030)   ~ (all_52_4 = e3)
% 191.77/30.39  | | 
% 191.77/30.39  | | REDUCE: (354), (18026) imply:
% 191.77/30.39  | |   (18031)   ~ (all_52_6 = e3)
% 191.77/30.39  | | 
% 191.77/30.39  | | REDUCE: (356), (18026) imply:
% 191.77/30.39  | |   (18032)   ~ (all_52_7 = e3)
% 191.77/30.39  | | 
% 191.77/30.39  | | REDUCE: (358), (18026) imply:
% 191.77/30.39  | |   (18033)   ~ (all_52_9 = e3)
% 191.77/30.39  | | 
% 191.77/30.39  | | REDUCE: (360), (18026) imply:
% 191.77/30.39  | |   (18034)   ~ (all_52_13 = e3)
% 191.77/30.39  | | 
% 191.77/30.39  | | BETA: splitting (224) gives:
% 191.77/30.39  | | 
% 191.77/30.39  | | Case 1:
% 191.77/30.39  | | | 
% 191.77/30.39  | | |   (18035)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2)
% 191.77/30.39  | | |              = e3)
% 191.77/30.39  | | | 
% 191.77/30.39  | | | BETA: splitting (18035) gives:
% 191.77/30.39  | | | 
% 191.77/30.39  | | | Case 1:
% 191.77/30.39  | | | | 
% 191.77/30.39  | | | |   (18036)  all_56_2 = e3 & op(e2, e3) = e3
% 191.77/30.39  | | | | 
% 191.77/30.39  | | | | REF_CLOSE: (167), (18029), (18036), (function-axioms) are inconsistent
% 191.77/30.39  | | | |            by sub-proof #223.
% 191.77/30.39  | | | | 
% 191.77/30.39  | | | Case 2:
% 191.77/30.39  | | | | 
% 191.77/30.39  | | | |   (18037)  all_56_3 = e3 & op(e2, e2) = e3
% 191.77/30.39  | | | | 
% 191.77/30.39  | | | | ALPHA: (18037) implies:
% 191.77/30.39  | | | |   (18038)  all_56_3 = e3
% 191.77/30.39  | | | |   (18039)  op(e2, e2) = e3
% 191.77/30.39  | | | | 
% 191.77/30.39  | | | | BETA: splitting (40) gives:
% 191.77/30.39  | | | | 
% 191.77/30.39  | | | | Case 1:
% 191.77/30.39  | | | | | 
% 191.77/30.39  | | | | |   (18040)   ~ (all_6_2 = e0)
% 191.77/30.39  | | | | | 
% 191.77/30.39  | | | | | BETA: splitting (46) gives:
% 191.77/30.39  | | | | | 
% 191.77/30.39  | | | | | Case 1:
% 191.77/30.39  | | | | | | 
% 191.77/30.39  | | | | | |   (18041)   ~ (all_10_2 = e2)
% 191.77/30.39  | | | | | | 
% 191.77/30.39  | | | | | | BETA: splitting (49) gives:
% 191.77/30.39  | | | | | | 
% 191.77/30.39  | | | | | | Case 1:
% 191.77/30.39  | | | | | | | 
% 191.77/30.39  | | | | | | |   (18042)   ~ (all_12_2 = e2)
% 191.77/30.39  | | | | | | | 
% 191.77/30.39  | | | | | | | REDUCE: (324), (18042) imply:
% 191.77/30.39  | | | | | | |   (18043)   ~ (all_6_2 = e2)
% 191.77/30.39  | | | | | | | 
% 191.77/30.39  | | | | | | | BETA: splitting (52) gives:
% 191.77/30.39  | | | | | | | 
% 191.77/30.39  | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | 
% 191.77/30.39  | | | | | | | |   (18044)   ~ (all_14_2 = e1)
% 191.77/30.39  | | | | | | | | 
% 191.77/30.39  | | | | | | | | BETA: splitting (58) gives:
% 191.77/30.39  | | | | | | | | 
% 191.77/30.39  | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | 
% 191.77/30.39  | | | | | | | | |   (18045)   ~ (all_18_2 = e3)
% 191.77/30.39  | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | REDUCE: (301), (18045) imply:
% 191.77/30.39  | | | | | | | | |   (18046)   ~ (all_14_2 = e3)
% 191.77/30.39  | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | BETA: splitting (61) gives:
% 191.77/30.39  | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | |   (18047)   ~ (all_20_2 = e3)
% 191.77/30.39  | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | REDUCE: (325), (18047) imply:
% 191.77/30.39  | | | | | | | | | |   (18048)   ~ (all_10_2 = e3)
% 191.77/30.39  | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | BETA: splitting (64) gives:
% 191.77/30.39  | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | |   (18049)   ~ (all_22_2 = e0)
% 191.77/30.39  | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | REDUCE: (251), (18049) imply:
% 191.77/30.39  | | | | | | | | | | |   (18050)   ~ (all_10_2 = e0)
% 191.77/30.39  | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | BETA: splitting (194) gives:
% 191.77/30.39  | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | |   (18051)  all_54_10 = e3
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | COMBINE_EQS: (336), (18051) imply:
% 191.77/30.39  | | | | | | | | | | | |   (18052)  all_10_2 = e3
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | REDUCE: (18048), (18052) imply:
% 191.77/30.39  | | | | | | | | | | | |   (18053)  $false
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | CLOSE: (18053) is inconsistent.
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | |   (18054)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | BETA: splitting (18054) gives:
% 191.77/30.39  | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | |   (18055)  all_54_10 = e2
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | COMBINE_EQS: (336), (18055) imply:
% 191.77/30.39  | | | | | | | | | | | | |   (18056)  all_10_2 = e2
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | REDUCE: (18041), (18056) imply:
% 191.77/30.39  | | | | | | | | | | | | |   (18057)  $false
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | CLOSE: (18057) is inconsistent.
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | |   (18058)   ~ (all_54_10 = e2)
% 191.77/30.39  | | | | | | | | | | | | |   (18059)  all_54_10 = e1 | all_54_10 = e0
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | BETA: splitting (18059) gives:
% 191.77/30.39  | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | |   (18060)  all_54_10 = e1
% 191.77/30.39  | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | COMBINE_EQS: (336), (18060) imply:
% 191.77/30.39  | | | | | | | | | | | | | |   (18061)  all_10_2 = e1
% 191.77/30.39  | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | REDUCE: (350), (18061) imply:
% 191.77/30.39  | | | | | | | | | | | | | |   (18062)   ~ (all_52_2 = e1)
% 191.77/30.39  | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | REDUCE: (361), (18061) imply:
% 191.77/30.39  | | | | | | | | | | | | | |   (18063)   ~ (all_52_6 = e1)
% 191.77/30.39  | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | REDUCE: (366), (18061) imply:
% 191.77/30.39  | | | | | | | | | | | | | |   (18064)   ~ (all_52_11 = e1)
% 191.77/30.39  | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | REDUCE: (368), (18061) imply:
% 191.77/30.39  | | | | | | | | | | | | | |   (18065)   ~ (all_52_14 = e1)
% 191.77/30.39  | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | REDUCE: (45), (18061) imply:
% 191.77/30.39  | | | | | | | | | | | | | |   (18066)  op(e1, e1) = e1
% 191.77/30.39  | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 191.77/30.39  | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | |   (18067)   ~ (all_26_2 = e1)
% 191.77/30.39  | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | REDUCE: (307), (18067) imply:
% 191.77/30.39  | | | | | | | | | | | | | | |   (18068)   ~ (all_6_2 = e1)
% 191.77/30.39  | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 191.77/30.39  | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | |   (18069)  all_54_0 = e3
% 191.77/30.39  | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (18069) imply:
% 191.77/30.39  | | | | | | | | | | | | | | | |   (18070)  all_6_2 = e3
% 191.77/30.39  | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | SIMP: (18070) implies:
% 191.77/30.39  | | | | | | | | | | | | | | | |   (18071)  all_6_2 = e3
% 191.77/30.39  | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | REDUCE: (340), (18071) imply:
% 191.77/30.39  | | | | | | | | | | | | | | | |   (18072)   ~ (all_52_2 = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | REDUCE: (342), (18071) imply:
% 191.77/30.39  | | | | | | | | | | | | | | | |   (18073)   ~ (all_52_3 = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | REDUCE: (348), (18071) imply:
% 191.77/30.39  | | | | | | | | | | | | | | | |   (18074)   ~ (all_52_12 = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | REDUCE: (39), (18071) imply:
% 191.77/30.39  | | | | | | | | | | | | | | | |   (18075)  op(e3, e3) = e3
% 191.77/30.39  | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 191.77/30.39  | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | |   (18076)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 191.77/30.39  | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (18031), (18072), (18076),
% 191.77/30.39  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.39  | | | | | | | | | | | | | | | | |            #222.
% 191.77/30.39  | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | |   (18077)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 191.77/30.39  | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 191.77/30.39  | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | BETA: splitting (18077) gives:
% 191.77/30.39  | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | |   (18078)  all_56_8 = e3 & op(e1, e1) = e3
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | ALPHA: (18078) implies:
% 191.77/30.39  | | | | | | | | | | | | | | | | | |   (18079)  op(e1, e1) = e3
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18066), (18079), (function-axioms) are
% 191.77/30.39  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | |   (18080)  all_56_11 = e3 & op(e1, e0) = e3
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | ALPHA: (18080) implies:
% 191.77/30.39  | | | | | | | | | | | | | | | | | |   (18081)  op(e1, e0) = e3
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |   (18082)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (163), (170), (18030), (18039),
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |            (18062), (18063), (18082), (function-axioms) are
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #217.
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |   (18083)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | BETA: splitting (18083) gives:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |   (18084)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (168), (18044), (18074), (18075),
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            (18084), (function-axioms) are inconsistent by
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            sub-proof #1962.
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |   (18085)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | BETA: splitting (18085) gives:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |   (18086)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18075), (18086), (function-axioms) are
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |   (18087)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.77/30.39  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18087) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |   (18088)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18088) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |   (18089)  op(e1, e1) = e0
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18066), (18089), (function-axioms) are
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |   (18090)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18090) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |   (18091)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18091) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |   (18092)  op(e1, e0) = e1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (18065), (18092), (function-axioms) are
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |   (18093)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18093) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |   (18094)  op(e0, e0) = all_57_15
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |   (18095)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18095) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | |   (18096)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18096) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18097)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18097) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18098)   ~ (all_57_15 = e3)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18099)   ~ (all_57_0 = e2)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18100)  op(e0, e3) = e0
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18101)  op(e2, e3) = all_57_0
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (51), (18094)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18102)  all_57_15 = all_14_2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (18100) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18103)  all_52_3 = e0
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e1, simplifying with (160), (18081) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18104)  all_52_14 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0, e3, e2, simplifying with (167), (18101)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18105)  all_57_0 = all_52_1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18099), (18105) imply:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18106)   ~ (all_52_1 = e2)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (18103) imply:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18107)   ~ (all_52_7 = e0)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18107) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18108)   ~ (all_52_7 = e0)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (18103) imply:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18109)   ~ (all_14_2 = e0)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18109) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18110)   ~ (all_14_2 = e0)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18073), (18103) imply:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18111)   ~ (e3 = e0)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (18104) imply:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (18112)   ~ (all_14_2 = e3)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18113)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18113) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18114)  all_56_0 = e1 & op(e3, e3) = e1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18114) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18115)  op(e3, e3) = e1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18075), (18115), (function-axioms) are
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18116)  all_56_2 = e1 & op(e2, e3) = e1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18116) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18117)  all_56_2 = e1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18118)  all_54_15 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (18046), (18118) are inconsistent by
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18119)   ~ (all_54_15 = e3)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18120)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18120) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18121)  all_54_15 = e2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (18121) imply:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18122)  all_14_2 = e2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18122) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18123)  all_14_2 = e2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (18123) imply:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18124)   ~ (all_52_13 = e2)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18046), (18123) imply:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18125)   ~ (e3 = e2)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (18123) imply:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18126)  op(e0, e0) = e2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18127)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18127) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18128)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18128) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18129)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (18094), (18098), (18100),
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18129), (function-axioms) are inconsistent by
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #216.
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18130)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18130) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18131)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18131) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18132)  op(e3, e3) = e1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18117), (18132), (function-axioms) are
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1844.
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18133)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18133) implies:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18134)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18094), (18098), (18100), (18134),
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1275.
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18135)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18135) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18136)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (18075), (18126), (18136),
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1517.
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18137)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (18039), (18063), (18137),
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #215.
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18138)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18138) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18139)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18139) gives:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18140)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (164), (18108), (18124), (18140),
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #634.
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18141)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.77/30.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (18064), (18126), (18141),
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1730.
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.77/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18142)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18142) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18143)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (18094), (18098), (18100), (18143),
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #213.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18144)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18144) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18145)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18145) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18146)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (164), (167), (223), (18039), (18106),
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18124), (18146), (function-axioms) are
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #211.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18147)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18147) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18148)  op(e0, e0) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18126), (18148), (function-axioms) are
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18149)  all_54_15 = e1 | all_54_15 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (18044), (18110), (18149) are inconsistent
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1659.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18150)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18150) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18151)  all_56_6 = e1 & op(e1, e3) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18151) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18152)  op(e1, e3) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (18062), (18152), (function-axioms) are
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18153)  all_56_12 = e1 & op(e0, e3) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18153) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18154)  all_56_12 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18155)  all_56_15 = e0 & op(e0, e0) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18155) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18156)  op(e0, e0) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18157)  all_54_15 = e3
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (18046), (18157) are inconsistent by
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18158)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18158) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18159)  all_54_15 = e2
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (18159) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18160)  all_14_2 = e2
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18160) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18161)  all_14_2 = e2
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (18161) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18162)  op(e0, e0) = e2
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18156), (18162), (function-axioms) are
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18163)  all_54_15 = e1 | all_54_15 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (18044), (18110), (18163) are inconsistent
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1659.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18164)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18164) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18165)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18165) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18166)  all_56_12 = e0 & op(e0, e3) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18166) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18167)  all_56_12 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18154), (18167) are inconsistent by
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1723.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18168)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18168) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18169)  all_56_13 = e0 & op(e0, e2) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18169) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18170)  op(e0, e2) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18108), (18170), (function-axioms) are
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18171)  all_56_14 = e0 & op(e0, e1) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18171) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18172)  op(e0, e1) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (18100), (18172),
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1671.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (18173)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18066), (18075), (18173),
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |            #1956.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |   (18174)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (336), (18039), (18041), (18050),
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |            (18059), (18075), (18174), (function-axioms) are
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #208.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | |   (18175)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | REF_CLOSE: (279), (18040), (18043), (18068), (18175) are
% 191.93/30.41  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 191.93/30.41  | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | End of split
% 191.93/30.41  | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | |   (18176)  all_26_2 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | COMBINE_EQS: (307), (18176) imply:
% 191.93/30.41  | | | | | | | | | | | | | | |   (18177)  all_6_2 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | SIMP: (18177) implies:
% 191.93/30.41  | | | | | | | | | | | | | | |   (18178)  all_6_2 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | REDUCE: (342), (18178) imply:
% 191.93/30.41  | | | | | | | | | | | | | | |   (18179)   ~ (all_52_3 = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | REDUCE: (348), (18178) imply:
% 191.93/30.41  | | | | | | | | | | | | | | |   (18180)   ~ (all_52_12 = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | REDUCE: (18043), (18178) imply:
% 191.93/30.41  | | | | | | | | | | | | | | |   (18181)   ~ (e2 = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | REDUCE: (39), (18178) imply:
% 191.93/30.41  | | | | | | | | | | | | | | |   (18182)  op(e3, e3) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | |   (18183)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | BETA: splitting (18183) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | |   (18184)  all_56_9 = e1 & op(e3, e0) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | ALPHA: (18184) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | |   (18185)  op(e3, e0) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (18180), (18185), (function-axioms) are
% 191.93/30.41  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 191.93/30.41  | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | |   (18186)  all_56_10 = e1 & op(e2, e0) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | ALPHA: (18186) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | |   (18187)  all_56_10 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | |   (18188)  op(e2, e0) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | |   (18189)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | BETA: splitting (18189) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18190)  all_56_12 = e1 & op(e0, e3) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | ALPHA: (18190) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18191)  op(e0, e3) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18179), (18191), (function-axioms) are
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18192)  all_56_13 = e1 & op(e0, e2) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | ALPHA: (18192) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18193)  all_56_13 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18194)  op(e0, e2) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (18194) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18195)  all_52_7 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (18188) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18196)  all_52_13 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | REDUCE: (145), (18196) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18197)   ~ (all_52_1 = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | REDUCE: (125), (18195) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18198)   ~ (all_52_11 = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | REDUCE: (117), (18196) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18199)   ~ (all_52_9 = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | REDUCE: (110), (18196) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18200)   ~ (all_52_14 = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | REDUCE: (371), (18196) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18201)   ~ (all_14_2 = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | REDUCE: (18034), (18196) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | |   (18202)   ~ (e3 = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | |   (18203)   ~ (all_28_2 = e2)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (18203) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | |   (18204)   ~ (all_14_2 = e2)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | |   (18205)  all_54_15 = e3
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (18046), (18205) are inconsistent by
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | |   (18206)   ~ (all_54_15 = e3)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | |   (18207)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18207) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | |   (18208)  all_54_15 = e2
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (18204), (18208) are inconsistent by
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1648.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | |   (18209)   ~ (all_54_15 = e2)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | |   (18210)  all_54_15 = e1 | all_54_15 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18210) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18211)  all_54_15 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (18044), (18211) are inconsistent by
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1660.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18212)  all_54_15 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (18212) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18213)  all_14_2 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18213) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18214)  all_14_2 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (18214) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18215)   ~ (all_52_3 = e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (18214) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18216)   ~ (all_52_11 = e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (18214) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18217)   ~ (all_52_14 = e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18046), (18214) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18218)   ~ (e3 = e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18204), (18214) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18219)   ~ (e2 = e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18044), (18214) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18220)   ~ (e1 = e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (18214) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | |   (18221)  op(e0, e0) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |   (18222)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (163), (170), (18030), (18039),
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |            (18062), (18063), (18222), (function-axioms) are
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #217.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |   (18223)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18223) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (18224)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18224) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18225)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18225) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18226)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18226) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18227)  op(e0, e0) = e1
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18221), (18227), (function-axioms) are
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18228)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18228) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18229)   ~ (all_57_12 = e1)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18230)   ~ (all_57_6 = e3)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18231)  op(e2, e1) = e2
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18232)  op(e2, e2) = all_57_12
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18233)  op(e3, e1) = all_57_6
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (18231) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18234)  all_52_9 = e2
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12, e2, e2, simplifying with (18039),
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (18232) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18235)  all_57_12 = e3
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (18234) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18236)   ~ (all_52_1 = e2)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (18234) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18237)   ~ (all_52_11 = e2)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18237) implies:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18238)   ~ (all_52_11 = e2)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18239)  all_54_14 = e3
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (18239) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18240)  all_52_11 = e3
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (18240) imply:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18241)   ~ (all_52_3 = e3)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18242)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (146), (165), (167), (18039), (18231),
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18242), (function-axioms) are inconsistent by
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #207.
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18243)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18243) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18244)  all_56_5 = e2 & op(e2, e1) = e2
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18244) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18245)  all_56_5 = e2
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18246)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18246) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18247)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18247) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18248)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (170), (18030), (18231),
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18248), (function-axioms) are inconsistent by
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #206.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18249)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18249) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18250)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18250) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18251)  op(e3, e1) = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18230), (18233), (18251), (function-axioms) are
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #675.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18252)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18252) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18253)  op(e1, e3) = e1
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (18062), (18253), (function-axioms) are
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18254)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18254) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18255)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (18182), (18215), (18255),
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1891.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18256)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18256) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18257)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18257) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18258)  op(e2, e2) = e1
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18229), (18232), (18258), (function-axioms) are
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1890.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18259)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18259) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18260)  op(e1, e2) = e1
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (18063), (18260), (function-axioms) are
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1970.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18261)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18261) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18262)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18262) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18263)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18263) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18264)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18264) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18265)  op(e2, e0) = e2
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (18231), (18265),
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18266)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18266) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18267)  op(e0, e0) = e2
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (18044), (18204), (18210), (18267),
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1645.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18268)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (18064), (18217), (18268),
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1883.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18269)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18269) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18270)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18039), (18182), (18270),
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #205.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18271)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18271) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18272)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18272) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18273)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (18231), (18273), (function-axioms)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #204.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18274)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18274) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18275)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18276)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18276) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18277)  all_56_0 = e3 & op(e3, e3) = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18277) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18278)  op(e3, e3) = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18182), (18278), (function-axioms) are
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18279)  all_56_2 = e3 & op(e2, e3) = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (18029), (18279), (function-axioms) are
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #223.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18280)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18280) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18281)  all_56_6 = e3 & op(e1, e3) = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18281) implies:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18282)  all_56_6 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18283)  all_54_4 = e3
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (18029), (18283) are inconsistent by
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18284)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18285)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18285) gives:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18286)  all_56_2 = e0 & op(e2, e3) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18286) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18287)  all_56_2 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18288)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18288) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18289)  all_56_0 = e3 & op(e3, e3) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18289) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18290)  op(e3, e3) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18282), (18287), (18290), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1348.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18291)  all_56_1 = e3 & op(e3, e2) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18291) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18292)  op(e3, e2) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (18292), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18293)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18293) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18294)  all_56_4 = e3 & op(e3, e1) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18294) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18295)  op(e3, e1) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18230), (18233), (18295), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #675.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18296)  all_56_9 = e3 & op(e3, e0) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18296) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18297)  op(e3, e0) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18182), (18275), (18297), (function-axioms)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #203.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18298)  all_56_3 = e0 & op(e2, e2) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18298) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18299)  op(e2, e2) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (18299), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18300)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18300) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18301)  all_56_5 = e0 & op(e2, e1) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18301) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18302)  all_56_5 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18245), (18302) are inconsistent by
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1860.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18303)  all_56_10 = e0 & op(e2, e0) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18303) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18304)  op(e2, e0) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (18197), (18236), (18284),
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18304), (function-axioms) are inconsistent by
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #201.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18305)  all_56_12 = e3 & op(e0, e3) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18305) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18306)  op(e0, e3) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18241), (18306), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #323.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18307)  all_56_10 = e2 & op(e2, e0) = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18307) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18308)  op(e2, e0) = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (18231), (18308),
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18309)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (18064), (18216), (18238), (18309) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1736.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18310)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18310) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18311)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18311) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18312)  op(e0, e0) = e1
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18221), (18312), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18313)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (18039), (18066), (18313),
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #200.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (18314)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18314) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18315)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18182), (18315), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18316)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18316) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18317)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18317) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18318)  op(e1, e1) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18066), (18318), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18319)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18319) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18320)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18320) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18321)  op(e1, e0) = e1
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (18065), (18321), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18322)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18322) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18323)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18323) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18324)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18324) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18325)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18325) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18326)  op(e0, e3) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18215), (18326), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18327)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18327) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18328)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18328) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18329)  op(e0, e3) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18215), (18329), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18330)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18330) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18331)  op(e3, e3) = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (159), (189), (246),
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (351), (362), (369), (18044), (18046), (18204),
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18323), (18331), (function-axioms) are
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #197.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18332)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18332) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18333)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18333) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18334)  op(e1, e1) = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (336), (18041), (18050), (18059), (18334),
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #210.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18335)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (18039), (18216), (18335),
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #196.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | |   (18336)  all_28_2 = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (18336) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | |   (18337)  all_14_2 = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | SIMP: (18337) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | |   (18338)  all_14_2 = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (18338) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | |   (18339)  all_50_2 = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (18338) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | |   (18340)   ~ (all_52_3 = e2)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (18338) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | |   (18341)   ~ (all_52_14 = e2)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | REDUCE: (18046), (18338) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | |   (18342)   ~ (e3 = e2)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (18338) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | |   (18343)  op(e0, e0) = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | |   (18344)   ~ (all_50_2 = e2)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18339), (18344) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | |   (18345)  $false
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | CLOSE: (18345) is inconsistent.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | |   (18346)  ( ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | |              & op(e0, e2) = all_50_1 & $i(all_50_0) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | |              $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e0, e2)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | |              = all_50_1 & $i(all_50_1))
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18346) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18347)   ~ (all_50_0 = e3) & op(all_50_1, e0) = all_50_0 &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_50_1 & $i(all_50_0) &
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |            $i(all_50_1)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18347) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18348)   ~ (all_50_0 = e3)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18349)  op(e0, e2) = all_50_1
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18350)  op(all_50_1, e0) = all_50_0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_50_1,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (18194), (18349) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18351)  all_50_1 = e1
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18350), (18351) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18352)  op(e1, e0) = all_50_0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |              all_50_0, e0, e1, simplifying with (160), (18352)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18353)  all_52_14 = all_50_0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (18353) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18354)  all_54_11 = all_50_0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (18353) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18355)   ~ (all_52_6 = all_50_0)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (18353) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18356)   ~ (all_52_12 = all_50_0)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18341), (18353) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18357)   ~ (all_50_0 = e2)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18065), (18353) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | |   (18358)   ~ (all_50_0 = e1)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | |   (18359)  all_54_11 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18348), (18354), (18359) are inconsistent by
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1795.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | |   (18360)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18360) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | |   (18361)  all_54_11 = e2
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18354), (18357), (18361) are inconsistent by
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1794.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | |   (18362)   ~ (all_54_11 = e2)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | |   (18363)  all_54_11 = e1 | all_54_11 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (18364)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18364) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18365)  all_56_9 = e3 & op(e3, e0) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18365) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18366)  op(e3, e0) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18363) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18367)  all_54_11 = e1
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18354), (18358), (18367) are inconsistent by
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1791.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18368)  all_54_11 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18354), (18368) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18369)  all_50_0 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18369) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18370)  all_50_0 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18355), (18370) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18371)   ~ (all_52_6 = e0)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18348), (18370) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18372)   ~ (e3 = e0)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18357), (18370) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18373)   ~ (e2 = e0)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18358), (18370) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18374)   ~ (e1 = e0)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18352), (18370) imply:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18375)  op(e1, e0) = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18376)  all_54_9 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (18031), (18376) are inconsistent by
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18377)   ~ (all_54_9 = e3)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18378)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18379)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18379) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18380)  all_56_6 = e3 & op(e1, e3) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18380) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18381)  all_56_6 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18382)  op(e1, e3) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18383)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18383) gives:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18384)  all_56_4 = e3 & op(e3, e1) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18384) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18385)  op(e3, e1) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (18366), (18385),
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1912.
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18386)  all_56_5 = e3 & op(e2, e1) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18386) implies:
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18387)  op(e2, e1) = e3
% 191.93/30.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (18033), (18387), (function-axioms) are
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18388)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18388) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18389)  all_56_8 = e3 & op(e1, e1) = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18389) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18390)  op(e1, e1) = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18066), (18390), (function-axioms) are
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18391)  all_56_14 = e3 & op(e0, e1) = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18391) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18392)  all_56_14 = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18393)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18393) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18394)  all_56_0 = e2 & op(e3, e3) = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18394) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18395)  op(e3, e3) = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18182), (18395), (function-axioms) are
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18396)  all_56_2 = e2 & op(e2, e3) = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18396) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18397)  all_56_2 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18398)  op(e2, e3) = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18399)  all_56_15 = e0 & op(e0, e0) = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18399) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18400)  op(e0, e0) = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18343), (18400), (function-axioms) are
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18401)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18401) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18402)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18402) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18403)  all_56_12 = e0 & op(e0, e3) = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18403) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18404)  all_56_12 = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18405)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18405) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18406)  all_56_2 = e0 & op(e2, e3) = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18397), (18406) are inconsistent by
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1546.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18407)  all_56_3 = e0 & op(e2, e2) = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18407) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18408)  op(e2, e2) = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (18408), (function-axioms) are
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18409)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18409) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18410)  all_56_5 = e0 & op(e2, e1) = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18410) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18411)  all_56_5 = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18412)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18412) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18413)  all_56_4 = e2 & op(e3, e1) = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18413) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18414)  all_56_4 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18378) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18415)  all_54_9 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (18415) imply:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18416)  all_52_6 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18416) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18417)  all_52_6 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (18417) imply:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18418)   ~ (all_52_4 = e2)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18419)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18419) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18420)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18420) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18421)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (18418), (18421),
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18422)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (163), (168), (169), (18062), (18366),
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18422), (function-axioms) are inconsistent by
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1482.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18423)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18423) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18424)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18424) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18425)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18425) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18426)  op(e3, e3) = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18182), (18426), (function-axioms) are
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18427)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18427) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18428)  op(e3, e0) = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (18354), (18356), (18358), (18363),
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18428), (function-axioms) are inconsistent by
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1685.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18429)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (18039), (18063), (18429),
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #215.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18430)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18430) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18431)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18431) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18432)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18432) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18433)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18433) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18434)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18182), (18366), (18434), (function-axioms)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #203.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18435)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18435) implies:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18436)  op(e2, e0) = e0
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (164), (250), (18065), (18363), (18436),
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #328.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18437)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (18182), (18343), (18366), (18437),
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #194.
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18438)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18438) gives:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18439)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 191.93/30.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (231), (18039), (18381),
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18397), (18404), (18439), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #193.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18440)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18440) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18441)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18441) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18442)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18443)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18444)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (163), (170), (18030), (18039),
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18062), (18063), (18444), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #217.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18445)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18445) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18446)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18446) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18447)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18447) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18448)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18448) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18449)  op(e0, e0) = e1
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18343), (18449), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18450)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18450) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18451)  all_57_7 = e2
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18452)   ~ (all_57_12 = e1)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18443), (18451), (18452) are inconsistent by
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1892.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18453)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18453) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18454)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18454) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18455)  op(e0, e0) = e1
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18343), (18455), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18456)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18456) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18457)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18457) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18458)  op(e2, e2) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (18458), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18459)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18459) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18460)  op(e1, e1) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (218), (18199), (18392),
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18414), (18460), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1752.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18461)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18461) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18462)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18182), (18462), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18463)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18463) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18464)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18464) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18465)  op(e1, e1) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (218), (18199), (18392),
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18414), (18465), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1752.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18466)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18466) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18467)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18467) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18468)  op(e1, e0) = e1
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18375), (18468), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18469)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18469) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18470)  op(e0, e0) = all_57_15
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18471)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18471) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18472)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18472) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18473)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18473) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18474)   ~ (all_57_0 = e2)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18475)  op(e2, e3) = all_57_0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (18398), (18475) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18476)  all_57_0 = e2
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18474), (18476) imply:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18477)  $false
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18477) is inconsistent.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18478)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18478) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18479)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18479) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18480)  op(e1, e1) = e3
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (165), (218), (219), (18199),
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18392), (18411), (18480), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #378.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18481)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18481) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18482)   ~ (all_57_15 = e2)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18343), (18470), (18482), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18483)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18483) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18484)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18484) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18485)   ~ (all_57_15 = e2)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18343), (18470), (18485), (function-axioms) are
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18486)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18343), (18442), (18486), (function-axioms)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1139.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18487)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18487) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18488)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18182), (18366), (18488), (function-axioms)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #203.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18489)  all_54_9 = e1 | all_54_9 = e0
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (18063), (18371), (18489) are inconsistent
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1802.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18490)  all_56_5 = e2 & op(e2, e1) = e2
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18490) implies:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18491)  op(e2, e1) = e2
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (18398), (18491),
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18492)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18492) gives:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18493)  all_56_8 = e2 & op(e1, e1) = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18493) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18494)  op(e1, e1) = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (336), (18041), (18050), (18059), (18494),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #210.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18495)  all_56_14 = e2 & op(e0, e1) = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18495) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18496)  all_56_14 = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (209),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18343), (18402), (18404), (18496),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1230.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18497)  all_56_10 = e0 & op(e2, e0) = e0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18497) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18498)  op(e2, e0) = e0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (164), (250), (18065), (18363), (18498),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #328.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18499)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18499) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18500)  all_56_13 = e0 & op(e0, e2) = e0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18193), (18500) are inconsistent by
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1867.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18501)  all_56_14 = e0 & op(e0, e1) = e0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18392), (18501) are inconsistent by
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1745.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18502)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18502) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18503)  all_56_6 = e2 & op(e1, e3) = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18503) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18504)  op(e1, e3) = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18382), (18504), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1371.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18505)  all_56_12 = e2 & op(e0, e3) = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18340), (18505), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18506)  all_56_7 = e3 & op(e1, e2) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18506) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18507)  op(e1, e2) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (18031), (18507), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18508)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18508) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18509)  all_56_8 = e3 & op(e1, e1) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18509) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18510)  op(e1, e1) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18066), (18510), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18511)  all_56_11 = e3 & op(e1, e0) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (168), (193), (206), (18187),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18343), (18348), (18354), (18356), (18357),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18358), (18511), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1683.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18512)  all_56_10 = e3 & op(e2, e0) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18034), (18512), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (18513)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (168), (193), (206), (18187),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | |            (18343), (18348), (18354), (18356), (18357),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | |            (18358), (18513), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1682.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |   (18514)   ~ (all_50_1 = e1) & op(e0, e2) = all_50_1 &
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |            $i(all_50_1)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18514) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |   (18515)   ~ (all_50_1 = e1)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |   (18516)  op(e0, e2) = all_50_1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18194), (18515), (18516), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1250.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | |   (18517)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 191.93/30.46  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (157), (18044), (18064), (18517),
% 191.93/30.46  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.46  | | | | | | | | | | | | | | | | | |            #1680.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | |   (18518)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 191.93/30.46  | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 191.93/30.46  | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (18044), (18065), (18518),
% 191.93/30.46  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.46  | | | | | | | | | | | | | | | |            #1681.
% 191.93/30.46  | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | |   (18519)  all_54_10 = e0
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | COMBINE_EQS: (336), (18519) imply:
% 191.93/30.46  | | | | | | | | | | | | | |   (18520)  all_10_2 = e0
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | REDUCE: (18050), (18520) imply:
% 191.93/30.46  | | | | | | | | | | | | | |   (18521)  $false
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | CLOSE: (18521) is inconsistent.
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | |   (18522)  all_22_2 = e0
% 191.93/30.46  | | | | | | | | | | |   (18523)  ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 191.93/30.46  | | | | | | | | | | |              & op(e1, e0) = all_22_1 & $i(all_22_0) &
% 191.93/30.46  | | | | | | | | | | |              $i(all_22_1)) | ( ~ (all_22_1 = e3) & op(e1, e0)
% 191.93/30.46  | | | | | | | | | | |              = all_22_1 & $i(all_22_1))
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | COMBINE_EQS: (251), (18522) imply:
% 191.93/30.46  | | | | | | | | | | |   (18524)  all_10_2 = e0
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | COMBINE_EQS: (333), (18524) imply:
% 191.93/30.46  | | | | | | | | | | |   (18525)  all_38_2 = e0
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | REDUCE: (350), (18524) imply:
% 191.93/30.46  | | | | | | | | | | |   (18526)   ~ (all_52_2 = e0)
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | REDUCE: (361), (18524) imply:
% 191.93/30.46  | | | | | | | | | | |   (18527)   ~ (all_52_6 = e0)
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | REDUCE: (363), (18524) imply:
% 191.93/30.46  | | | | | | | | | | |   (18528)   ~ (all_52_8 = e0)
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | REDUCE: (364), (18524) imply:
% 191.93/30.46  | | | | | | | | | | |   (18529)   ~ (all_52_9 = e0)
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | REDUCE: (366), (18524) imply:
% 191.93/30.46  | | | | | | | | | | |   (18530)   ~ (all_52_11 = e0)
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | REDUCE: (368), (18524) imply:
% 191.93/30.46  | | | | | | | | | | |   (18531)   ~ (all_52_14 = e0)
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | REDUCE: (18048), (18524) imply:
% 191.93/30.46  | | | | | | | | | | |   (18532)   ~ (e3 = e0)
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | REDUCE: (18041), (18524) imply:
% 191.93/30.46  | | | | | | | | | | |   (18533)   ~ (e2 = e0)
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | REDUCE: (45), (18524) imply:
% 191.93/30.46  | | | | | | | | | | |   (18534)  op(e1, e1) = e0
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | BETA: splitting (70) gives:
% 191.93/30.46  | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | |   (18535)   ~ (all_26_2 = e1)
% 191.93/30.46  | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | REDUCE: (307), (18535) imply:
% 191.93/30.46  | | | | | | | | | | | |   (18536)   ~ (all_6_2 = e1)
% 191.93/30.46  | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | BETA: splitting (204) gives:
% 191.93/30.46  | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | |   (18537)  all_54_0 = e3
% 191.93/30.46  | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | COMBINE_EQS: (279), (18537) imply:
% 191.93/30.46  | | | | | | | | | | | | |   (18538)  all_6_2 = e3
% 191.93/30.46  | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | SIMP: (18538) implies:
% 191.93/30.46  | | | | | | | | | | | | |   (18539)  all_6_2 = e3
% 191.93/30.46  | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | REDUCE: (340), (18539) imply:
% 191.93/30.46  | | | | | | | | | | | | |   (18540)   ~ (all_52_2 = e3)
% 191.93/30.46  | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | REDUCE: (39), (18539) imply:
% 191.93/30.46  | | | | | | | | | | | | |   (18541)  op(e3, e3) = e3
% 191.93/30.46  | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | BETA: splitting (209) gives:
% 191.93/30.46  | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | |   (18542)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 191.93/30.46  | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | BETA: splitting (18542) gives:
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | |   (18543)  all_56_12 = e3 & op(e0, e3) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | ALPHA: (18543) implies:
% 191.93/30.46  | | | | | | | | | | | | | | |   (18544)  all_56_12 = e3
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 191.93/30.46  | | | | | | | | | | | | | | |            (233), (18526), (18541), (18544),
% 191.93/30.46  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.46  | | | | | | | | | | | | | | |            #1332.
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | |   (18545)  all_56_13 = e3 & op(e0, e2) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | ALPHA: (18545) implies:
% 191.93/30.46  | | | | | | | | | | | | | | |   (18546)  op(e0, e2) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | REF_CLOSE: (158), (18032), (18546), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | End of split
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | |   (18547)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 191.93/30.46  | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | BETA: splitting (18547) gives:
% 191.93/30.46  | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | |   (18548)  all_56_14 = e3 & op(e0, e1) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | ALPHA: (18548) implies:
% 191.93/30.46  | | | | | | | | | | | | | | |   (18549)  all_56_14 = e3
% 191.93/30.46  | | | | | | | | | | | | | | |   (18550)  op(e0, e1) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | |   (18551)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 191.93/30.46  | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (18031), (18540), (18551),
% 191.93/30.46  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.46  | | | | | | | | | | | | | | | |            #222.
% 191.93/30.46  | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | |   (18552)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 191.93/30.46  | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | BETA: splitting (18552) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18553)  all_56_8 = e3 & op(e1, e1) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | ALPHA: (18553) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18554)  op(e1, e1) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18534), (18554), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18555)  all_56_11 = e3 & op(e1, e0) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | ALPHA: (18555) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18556)  all_56_11 = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18557)  op(e1, e0) = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 191.93/30.46  | | | | | | | | | | | | | | | | |              e3, e1, e0, simplifying with (157), (18550) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18558)  all_52_11 = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 191.93/30.46  | | | | | | | | | | | | | | | | |              e3, e0, e1, simplifying with (160), (18557) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18559)  all_52_14 = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | REDUCE: (139), (18558) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18560)   ~ (all_52_3 = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | REDUCE: (121), (18558) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18561)   ~ (all_52_8 = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | REDUCE: (112), (18559) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18562)   ~ (all_52_12 = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | REDUCE: (372), (18559) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | |   (18563)   ~ (all_14_2 = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | BETA: splitting (18523) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | |   (18564)   ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 &
% 191.93/30.46  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_22_1 & $i(all_22_0) &
% 191.93/30.46  | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | ALPHA: (18564) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | |   (18565)   ~ (all_22_0 = e2)
% 191.93/30.46  | | | | | | | | | | | | | | | | | |   (18566)  op(e1, e0) = all_22_1
% 191.93/30.46  | | | | | | | | | | | | | | | | | |   (18567)  op(all_22_1, e1) = all_22_0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | |   (18568)   ~ (all_38_2 = e0)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | REDUCE: (18525), (18568) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | |   (18569)  $false
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | CLOSE: (18569) is inconsistent.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | |   (18570)  ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_38_1 & $i(all_38_0) &
% 191.93/30.46  | | | | | | | | | | | | | | | | | | |              $i(all_38_1)) | ( ~ (all_38_1 = e2) & op(e1, e0)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | |              = all_38_1 & $i(all_38_1))
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_22_1,
% 191.93/30.46  | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (18557), (18566) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | |   (18571)  all_22_1 = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | REDUCE: (18567), (18571) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | |   (18572)  op(e3, e1) = all_22_0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | BETA: splitting (18570) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18573)   ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 &
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_38_1 & $i(all_38_0) &
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |            $i(all_38_1)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | ALPHA: (18573) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18574)   ~ (all_38_0 = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18575)  op(e1, e0) = all_38_1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18576)  op(all_38_1, e1) = all_38_0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_38_1,
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (18557), (18575) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18577)  all_38_1 = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |              all_22_0, e1, e3, simplifying with (169), (18572)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |              gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18578)  all_52_8 = all_22_0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (18578) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18579)  all_54_2 = all_22_0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (18578) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18580)   ~ (all_52_9 = all_22_0)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | SIMP: (18580) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18581)   ~ (all_52_9 = all_22_0)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (18578) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18582)   ~ (all_52_12 = all_22_0)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | SIMP: (18582) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18583)   ~ (all_52_12 = all_22_0)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | REDUCE: (18561), (18578) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18584)   ~ (all_22_0 = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | REDUCE: (18528), (18578) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18585)   ~ (all_22_0 = e0)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | REDUCE: (18576), (18577) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | |   (18586)  op(e3, e1) = all_38_0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | |   (18587)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18587) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |   (18588)  all_56_4 = e2 & op(e3, e1) = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (168), (170), (202), (232), (271), (18528),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |            (18541), (18565), (18579), (18583), (18584),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |            (18585), (18588), (function-axioms) are
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #189.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |   (18589)  all_56_5 = e2 & op(e2, e1) = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18589) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |   (18590)  all_56_5 = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | |   (18591)  op(e2, e1) = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | |   (18592)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18592) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | |   (18593)  all_56_4 = e1 & op(e3, e1) = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18593) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | |   (18594)  all_56_4 = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (18595)  all_54_2 = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18579), (18584), (18595) are inconsistent by
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #192.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (18596)   ~ (all_54_2 = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (18597)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18597) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18598)  all_54_2 = e2
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18565), (18579), (18598) are inconsistent by
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #191.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18599)   ~ (all_54_2 = e2)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18600)  all_54_2 = e1 | all_54_2 = e0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18600) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18601)  all_54_2 = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18579), (18601) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18602)  all_22_0 = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18602) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18603)  all_22_0 = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18581), (18603) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18604)   ~ (all_52_9 = e1)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18584), (18603) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18605)   ~ (e3 = e1)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18565), (18603) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18606)   ~ (e2 = e1)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18572), (18603) imply:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18607)  op(e3, e1) = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18608)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18608) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18609)  all_56_9 = e1 & op(e3, e0) = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18609) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18610)  op(e3, e0) = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (271), (18528), (18600), (18610),
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #503.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18611)  all_56_10 = e1 & op(e2, e0) = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18611) implies:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18612)  all_56_10 = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18613)  op(e2, e0) = e1
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18614)  all_54_6 = e3
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (18033), (18614) are inconsistent by
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18615)   ~ (all_54_6 = e3)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18616)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18617)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18617) gives:
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 191.93/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18618)  all_56_2 = e0 & op(e2, e3) = e0
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18618) implies:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18619)  all_56_2 = e0
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18620)  op(e2, e3) = e0
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18616) gives:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18621)  all_54_6 = e2
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (18621) imply:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18622)  all_52_9 = e2
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18622) implies:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18623)  all_52_9 = e2
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (18623) imply:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18624)   ~ (all_52_1 = e2)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (18623) imply:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18625)   ~ (all_52_13 = e2)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18625) implies:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18626)   ~ (all_52_13 = e2)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18033), (18623) imply:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18627)   ~ (e3 = e2)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (18613) gives:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18628)  all_52_13 = e1
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (18620) gives:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18629)  all_52_1 = e0
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_38_0,
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (18586), (18607) gives:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18630)  all_38_0 = e1
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (18629) imply:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18631)   ~ (all_52_2 = e0)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (18629) imply:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18632)   ~ (all_52_3 = e0)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18632) implies:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18633)   ~ (all_52_3 = e0)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (18628) imply:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18634)   ~ (all_14_2 = e1)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18635)   ~ (all_40_2 = e3)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18028), (18635) imply:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18636)  $false
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18636) is inconsistent.
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18637)  ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = all_40_1 & $i(all_40_0) &
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_40_1)) | ( ~ (all_40_1 = e0) & op(e2, e3)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_40_1 & $i(all_40_1))
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (51), (121), (128),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (134), (140), (143), (144), (157), (158), (159),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (168),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (191), (192), (206), (207), (208), (211),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (218), (219), (220), (224),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (226), (227), (230), (231), (233), (234),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (238), (239), (248), (249), (271), (351),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (362), (18027), (18030), (18031), (18032),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18033), (18034), (18039), (18044), (18046),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18526), (18527), (18528), (18530), (18531),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18534), (18540), (18541), (18549), (18556),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18560), (18562), (18590), (18591), (18594),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18600), (18604), (18619), (18620), (18624),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18626), (18633), (18637), (function-axioms) are
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #176.
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18638)  all_54_6 = e1 | all_54_6 = e0
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (18529), (18604), (18638) are inconsistent
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #708.
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18639)  all_56_3 = e0 & op(e2, e2) = e0
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18639) implies:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18640)  op(e2, e2) = e0
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (18640), (function-axioms) are
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18641)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18534), (18549), (18594), (18612), (18641),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #175.
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18642)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (18044), (18556), (18642),
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #174.
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18643)  all_54_2 = e0
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18579), (18585), (18643) are inconsistent by
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #190.
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | |   (18644)  all_56_5 = e1 & op(e2, e1) = e1
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18644) implies:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | |   (18645)  op(e2, e1) = e1
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18591), (18645), (function-axioms) are
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | |   (18646)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.46  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (18534), (18549), (18646),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |            #1753.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |   (18647)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (18534), (18549), (18647),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |            #579.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18648)   ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 &
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |            $i(all_38_1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | ALPHA: (18648) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18649)   ~ (all_38_1 = e2)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18650)  op(e1, e0) = all_38_1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_38_1,
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (18557), (18650) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18651)  all_38_1 = e3
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |              all_22_0, e1, e3, simplifying with (169), (18572)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |              gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18652)  all_52_8 = all_22_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (18652) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18653)  all_54_2 = all_22_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (18652) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18654)   ~ (all_52_9 = all_22_0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | SIMP: (18654) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18655)   ~ (all_52_9 = all_22_0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (18652) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18656)   ~ (all_52_12 = all_22_0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | SIMP: (18656) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18657)   ~ (all_52_12 = all_22_0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (18561), (18652) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18658)   ~ (all_22_0 = e3)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (18528), (18652) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18659)   ~ (all_22_0 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |   (18660)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18660) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |   (18661)  all_56_4 = e2 & op(e3, e1) = e2
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (168), (170), (202), (232), (271), (18528),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |            (18541), (18565), (18653), (18657), (18658),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |            (18659), (18661), (function-axioms) are
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #189.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |   (18662)  all_56_5 = e2 & op(e2, e1) = e2
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18662) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |   (18663)  all_56_5 = e2
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |   (18664)  op(e2, e1) = e2
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18665)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18665) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |   (18666)  all_56_4 = e1 & op(e3, e1) = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18666) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |   (18667)  all_56_4 = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (18668)  all_54_2 = e3
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18653), (18658), (18668) are inconsistent by
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #192.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (18669)   ~ (all_54_2 = e3)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (18670)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18670) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18671)  all_54_2 = e2
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18565), (18653), (18671) are inconsistent by
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #191.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18672)   ~ (all_54_2 = e2)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18673)  all_54_2 = e1 | all_54_2 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18673) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18674)  all_54_2 = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18653), (18674) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18675)  all_22_0 = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18675) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18676)  all_22_0 = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18655), (18676) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18677)   ~ (all_52_9 = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18658), (18676) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18678)   ~ (e3 = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18565), (18676) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18679)   ~ (e2 = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18680)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18680) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18681)  all_56_9 = e1 & op(e3, e0) = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18681) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18682)  op(e3, e0) = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (271), (18528), (18673), (18682),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #503.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18683)  all_56_10 = e1 & op(e2, e0) = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18683) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18684)  all_56_10 = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18685)  op(e2, e0) = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18686)  all_54_6 = e3
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (18033), (18686) are inconsistent by
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18687)   ~ (all_54_6 = e3)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18688)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18689)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18689) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18690)  all_56_2 = e0 & op(e2, e3) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18690) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18691)  all_56_2 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18692)  op(e2, e3) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18688) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18693)  all_54_6 = e2
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (18693) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18694)  all_52_9 = e2
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18694) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18695)  all_52_9 = e2
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (18695) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18696)   ~ (all_52_1 = e2)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (18695) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18697)   ~ (all_52_13 = e2)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18697) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18698)   ~ (all_52_13 = e2)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18033), (18695) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18699)   ~ (e3 = e2)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (18685) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18700)  all_52_13 = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (18692) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18701)  all_52_1 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (18701) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18702)   ~ (all_52_2 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (18701) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18703)   ~ (all_52_3 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18703) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18704)   ~ (all_52_3 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (18700) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18705)   ~ (all_14_2 = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18706)   ~ (all_40_2 = e3)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18028), (18706) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18707)  $false
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18707) is inconsistent.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18708)  ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = all_40_1 & $i(all_40_0) &
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_40_1)) | ( ~ (all_40_1 = e0) & op(e2, e3)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_40_1 & $i(all_40_1))
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (51), (121), (128),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (134), (140), (143), (144), (157), (158), (159),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (168),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (191), (192), (206), (207), (208), (211),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (218), (219), (220), (224),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (226), (227), (230), (231), (233), (234),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (238), (239), (248), (249), (271), (351),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (362), (18027), (18030), (18031), (18032),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18033), (18034), (18039), (18044), (18046),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18526), (18527), (18528), (18530), (18531),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18534), (18540), (18541), (18549), (18556),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18560), (18562), (18663), (18664), (18667),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18673), (18677), (18691), (18692), (18696),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18698), (18704), (18708), (function-axioms) are
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #176.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18709)  all_54_6 = e1 | all_54_6 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (18529), (18677), (18709) are inconsistent
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #708.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18710)  all_56_3 = e0 & op(e2, e2) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18710) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18711)  op(e2, e2) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (18711), (function-axioms) are
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18712)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18534), (18549), (18667), (18684), (18712),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #175.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18713)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (18044), (18556), (18713),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #174.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18714)  all_54_2 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18653), (18659), (18714) are inconsistent by
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #190.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |   (18715)  all_56_5 = e1 & op(e2, e1) = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18715) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |   (18716)  op(e2, e1) = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18664), (18716), (function-axioms) are
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18717)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (18534), (18549), (18717),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |            #1753.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |   (18718)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (18534), (18549), (18718),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |            #579.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | |   (18719)   ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 &
% 192.05/30.47  | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18557), (18719), (function-axioms) are
% 192.05/30.47  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #173.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | |   (18720)  all_56_15 = e3 & op(e0, e0) = e3
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | ALPHA: (18720) implies:
% 192.05/30.47  | | | | | | | | | | | | | | |   (18721)  op(e0, e0) = e3
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | REF_CLOSE: (51), (18046), (18721), (function-axioms) are
% 192.05/30.47  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1977.
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | |   (18722)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 192.05/30.47  | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | REF_CLOSE: (279), (18040), (18043), (18536), (18722) are
% 192.05/30.47  | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 192.05/30.47  | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | End of split
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | |   (18723)  all_26_2 = e1
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | COMBINE_EQS: (307), (18723) imply:
% 192.05/30.47  | | | | | | | | | | | |   (18724)  all_6_2 = e1
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | SIMP: (18724) implies:
% 192.05/30.47  | | | | | | | | | | | |   (18725)  all_6_2 = e1
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | REDUCE: (338), (18725) imply:
% 192.05/30.47  | | | | | | | | | | | |   (18726)   ~ (all_52_1 = e1)
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | REDUCE: (340), (18725) imply:
% 192.05/30.47  | | | | | | | | | | | |   (18727)   ~ (all_52_2 = e1)
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | REDUCE: (342), (18725) imply:
% 192.05/30.47  | | | | | | | | | | | |   (18728)   ~ (all_52_3 = e1)
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | REDUCE: (344), (18725) imply:
% 192.05/30.47  | | | | | | | | | | | |   (18729)   ~ (all_52_4 = e1)
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | REDUCE: (346), (18725) imply:
% 192.05/30.47  | | | | | | | | | | | |   (18730)   ~ (all_52_8 = e1)
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | REDUCE: (348), (18725) imply:
% 192.05/30.47  | | | | | | | | | | | |   (18731)   ~ (all_52_12 = e1)
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | REDUCE: (18043), (18725) imply:
% 192.05/30.47  | | | | | | | | | | | |   (18732)   ~ (e2 = e1)
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | REDUCE: (39), (18725) imply:
% 192.05/30.47  | | | | | | | | | | | |   (18733)  op(e3, e3) = e1
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | BETA: splitting (73) gives:
% 192.05/30.47  | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | |   (18734)   ~ (all_28_2 = e2)
% 192.05/30.47  | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | REDUCE: (330), (18734) imply:
% 192.05/30.47  | | | | | | | | | | | | |   (18735)   ~ (all_14_2 = e2)
% 192.05/30.47  | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | BETA: splitting (189) gives:
% 192.05/30.47  | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | |   (18736)  all_54_15 = e3
% 192.05/30.47  | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | COMBINE_EQS: (246), (18736) imply:
% 192.05/30.47  | | | | | | | | | | | | | |   (18737)  all_14_2 = e3
% 192.05/30.47  | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | REDUCE: (18046), (18737) imply:
% 192.05/30.47  | | | | | | | | | | | | | |   (18738)  $false
% 192.05/30.47  | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | CLOSE: (18738) is inconsistent.
% 192.05/30.47  | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | |   (18739)   ~ (all_54_15 = e3)
% 192.05/30.47  | | | | | | | | | | | | | |   (18740)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 192.05/30.47  | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | BETA: splitting (18740) gives:
% 192.05/30.47  | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | |   (18741)  all_54_15 = e2
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | COMBINE_EQS: (246), (18741) imply:
% 192.05/30.47  | | | | | | | | | | | | | | |   (18742)  all_14_2 = e2
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | REDUCE: (18735), (18742) imply:
% 192.05/30.47  | | | | | | | | | | | | | | |   (18743)  $false
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | CLOSE: (18743) is inconsistent.
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | |   (18744)   ~ (all_54_15 = e2)
% 192.05/30.47  | | | | | | | | | | | | | | |   (18745)  all_54_15 = e1 | all_54_15 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | BETA: splitting (18745) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | |   (18746)  all_54_15 = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (18746) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | |   (18747)  all_14_2 = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | REDUCE: (18044), (18747) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | |   (18748)  $false
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | CLOSE: (18748) is inconsistent.
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | |   (18749)  all_54_15 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (18749) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | |   (18750)  all_14_2 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | REDUCE: (351), (18750) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | |   (18751)   ~ (all_52_3 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | REDUCE: (370), (18750) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | |   (18752)   ~ (all_52_12 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | REDUCE: (18044), (18750) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | |   (18753)   ~ (e1 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | REDUCE: (51), (18750) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | |   (18754)  op(e0, e0) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | |   (18755)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | BETA: splitting (18755) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | |   (18756)  all_56_0 = e0 & op(e3, e3) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | ALPHA: (18756) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | |   (18757)  op(e3, e3) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18733), (18757), (function-axioms) are
% 192.05/30.47  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | |   (18758)  all_56_2 = e0 & op(e2, e3) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | ALPHA: (18758) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | |   (18759)  all_56_2 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | |   (18760)  op(e2, e3) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | |   (18761)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | BETA: splitting (18761) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18762)  all_56_0 = e0 & op(e3, e3) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | ALPHA: (18762) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18763)  op(e3, e3) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18733), (18763), (function-axioms) are
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18764)  all_56_1 = e0 & op(e3, e2) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | ALPHA: (18764) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18765)  op(e3, e2) = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (18760) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18766)  all_52_1 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (18765) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18767)  all_52_4 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (18766) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18768)   ~ (all_52_2 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (18766) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18769)   ~ (all_52_3 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (18766) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18770)   ~ (all_52_13 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | SIMP: (18770) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18771)   ~ (all_52_13 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (18767) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18772)   ~ (all_52_7 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | SIMP: (18772) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | |   (18773)   ~ (all_52_7 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |   (18774)   ~ (all_40_2 = e3)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18028), (18774) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |   (18775)  $false
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | CLOSE: (18775) is inconsistent.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |   (18776)  ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = all_40_1 & $i(all_40_0) &
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |              $i(all_40_1)) | ( ~ (all_40_1 = e0) & op(e2, e3)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | |              = all_40_1 & $i(all_40_1))
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18776) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |   (18777)   ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 &
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_40_1 & $i(all_40_0) &
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_40_1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18777) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |   (18778)   ~ (all_40_0 = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |   (18779)  op(e2, e3) = all_40_1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | |   (18780)  op(all_40_1, e2) = all_40_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18027) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18781)   ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 &
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18781) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18782)  op(e2, e3) = all_4_1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18783)  op(all_4_1, e2) = all_4_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_40_1,
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (18760), (18779) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18784)  all_40_1 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |              all_40_1, e3, e2, simplifying with (18779),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |              (18782) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18785)  all_40_1 = all_4_1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18784), (18785) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18786)  all_4_1 = e0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18780), (18784) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18787)  op(e0, e2) = all_40_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18783), (18786) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18788)  op(e0, e2) = all_4_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |              all_4_0, e2, e0, simplifying with (158), (18788)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18789)  all_52_7 = all_4_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |              all_40_0, e2, e0, simplifying with (158), (18787)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18790)  all_52_7 = all_40_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18789), (18790) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18791)  all_40_0 = all_4_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18791) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18792)  all_40_0 = all_4_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (18789) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18793)  all_54_13 = all_4_0
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (18789) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18794)   ~ (all_52_3 = all_4_0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (18789) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18795)   ~ (all_52_11 = all_4_0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18795) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18796)   ~ (all_52_11 = all_4_0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18032), (18789) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18797)   ~ (all_4_0 = e3)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18773), (18789) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18798)   ~ (all_4_0 = e0)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18778), (18792) imply:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (18799)   ~ (all_4_0 = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |   (18800)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18728), (18778), (18787), (18800),
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |            #172.
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |   (18801)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18801) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (18802)  all_56_14 = e1 & op(e0, e1) = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18802) implies:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (18803)  all_56_14 = e1
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18804)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18804) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18805)  all_56_4 = e3 & op(e3, e1) = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18805) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18806)  all_56_4 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18807)  op(e3, e1) = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18808)  all_54_13 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18793), (18808) imply:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18809)  all_4_0 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18809) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18810)  all_4_0 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18797), (18810) imply:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18811)  $false
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18811) is inconsistent.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18812)   ~ (all_54_13 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18813)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18814)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18814) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18815)  all_56_12 = e3 & op(e0, e3) = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18815) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18816)  all_56_12 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18813) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18817)  all_54_13 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18793), (18817) imply:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18818)  all_4_0 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18818) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18819)  all_4_0 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18794), (18819) imply:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18820)   ~ (all_52_3 = e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18796), (18819) imply:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18821)   ~ (all_52_11 = e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18797), (18819) imply:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18822)   ~ (e3 = e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18823)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (170), (224), (18033),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18034), (18729), (18759), (18823),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #171.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18824)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18824) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18825)  all_56_7 = e1 & op(e1, e2) = e1
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18825) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18826)  op(e1, e2) = e1
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18827)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (18733), (18759), (18827),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #170.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18828)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18828) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18829)  all_56_6 = e2 & op(e1, e3) = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18829) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18830)  all_56_6 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18831)  op(e1, e3) = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18832)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18832) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18833)  all_56_4 = e2 & op(e3, e1) = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18833) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18834)  all_56_4 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18806), (18834) are inconsistent by
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1404.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18835)  all_56_5 = e2 & op(e2, e1) = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18835) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18836)  op(e2, e1) = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18837)  all_54_12 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (18837) imply:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18838)  all_52_3 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18838) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18839)  all_52_3 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (18839) imply:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18840)   ~ (all_52_2 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18841)  all_54_8 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (18840), (18841) are inconsistent by
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18842)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18843)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (143), (149), (159),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (167), (170), (224),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (259), (18030), (18033), (18034),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18039), (18526), (18727), (18751), (18759),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18760), (18826), (18830), (18831), (18836),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18842), (18843), (function-axioms) are
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #168.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18844)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18844) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18845)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18845) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18846)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (18771), (18836), (18846),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #709.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18847)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18847) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18848)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18848) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18849)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18850)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (143), (149),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (159), (162), (163), (164), (165), (167),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (224), (231), (235), (238), (246), (259),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18030), (18033), (18034), (18039), (18044),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18526), (18530), (18534), (18727), (18733),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18735), (18745), (18751), (18754), (18759),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18760), (18787), (18788), (18798), (18807),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18826), (18830), (18831), (18842), (18849),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18850), (function-axioms) are inconsistent by
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #163.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18851)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18851) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18852)  op(e1, e0) = e0
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (18531), (18852), (function-axioms) are
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18853)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18853) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18854)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (18534),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18816), (18826), (18830), (18854),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #162.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18855)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18855) gives:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18856)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18856) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18857)  op(e1, e1) = e1
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18534), (18857), (function-axioms) are
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18858)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18858) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18859)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18860)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (143), (149),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (159), (162), (163), (164), (165), (167),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (224), (231), (235), (238), (246), (259),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18030), (18033), (18034), (18039), (18044),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18526), (18530), (18534), (18727), (18733),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18735), (18745), (18751), (18754), (18759),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18760), (18787), (18788), (18798), (18807),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18826), (18830), (18831), (18842), (18859),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18860), (function-axioms) are inconsistent by
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #163.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18861)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (18728), (18751), (18820), (18861) are
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #707.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18862)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (18534), (18821), (18862),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #761.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18863)  all_56_12 = e2 & op(e0, e3) = e2
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18820), (18863), (function-axioms) are
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18864)  all_56_13 = e1 & op(e0, e2) = e1
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18778), (18787), (18864), (function-axioms) are
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #178.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18865)  all_54_13 = e1 | all_54_13 = e0
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18793), (18798), (18799), (18865) are
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #187.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18866)  all_56_13 = e3 & op(e0, e2) = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18866) implies:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18867)  op(e0, e2) = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18032), (18867), (function-axioms) are
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18868)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (18754), (18803), (18868),
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #161.
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18869)  all_56_5 = e3 & op(e2, e1) = e3
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18869) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18870)  op(e2, e1) = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (18033), (18870), (function-axioms) are
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18871)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (18534), (18803), (18871),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1361.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (18872)  all_56_15 = e1 & op(e0, e0) = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18872) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (18873)  op(e0, e0) = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18754), (18873), (function-axioms) are
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18874)   ~ (all_4_1 = e1) & op(e2, e3) = all_4_1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_4_1)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18874) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18875)   ~ (all_4_1 = e1)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18876)  op(e2, e3) = all_4_1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_40_1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (18760), (18779) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18877)  all_40_1 = e0
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |              all_40_1, e3, e2, simplifying with (18779),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |              (18876) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18878)  all_40_1 = all_4_1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18877), (18878) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18879)  all_4_1 = e0
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18780), (18877) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18880)  op(e0, e2) = all_40_0
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |              all_40_0, e2, e0, simplifying with (158), (18880)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18881)  all_52_7 = all_40_0
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (18881) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18882)  all_54_13 = all_40_0
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (18881) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18883)   ~ (all_52_3 = all_40_0)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (18881) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18884)   ~ (all_52_11 = all_40_0)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18884) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18885)   ~ (all_52_11 = all_40_0)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18032), (18881) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18886)   ~ (all_40_0 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18773), (18881) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | |   (18887)   ~ (all_40_0 = e0)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | |   (18888)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18728), (18778), (18880), (18888),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | |            #172.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | |   (18889)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18889) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (18890)  all_56_14 = e1 & op(e0, e1) = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18890) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (18891)  all_56_14 = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18892)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18892) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18893)  all_56_4 = e3 & op(e3, e1) = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18893) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18894)  all_56_4 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18895)  op(e3, e1) = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18896)  all_54_13 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18882), (18896) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18897)  all_40_0 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18897) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18898)  all_40_0 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18886), (18898) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18899)  $false
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18899) is inconsistent.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18900)   ~ (all_54_13 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18901)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18902)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18902) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18903)  all_56_12 = e3 & op(e0, e3) = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18903) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18904)  all_56_12 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18901) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18905)  all_54_13 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18882), (18905) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18906)  all_40_0 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18906) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18907)  all_40_0 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18883), (18907) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18908)   ~ (all_52_3 = e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18885), (18907) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18909)   ~ (all_52_11 = e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18886), (18907) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18910)   ~ (e3 = e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18911)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (170), (224), (18033),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18034), (18729), (18759), (18911),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #171.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18912)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18912) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18913)  all_56_7 = e1 & op(e1, e2) = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18913) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18914)  op(e1, e2) = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18915)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (18733), (18759), (18915),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #170.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18916)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18916) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18917)  all_56_6 = e2 & op(e1, e3) = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18917) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18918)  all_56_6 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18919)  op(e1, e3) = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18920)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18920) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18921)  all_56_4 = e2 & op(e3, e1) = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18921) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18922)  all_56_4 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18894), (18922) are inconsistent by
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1404.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18923)  all_56_5 = e2 & op(e2, e1) = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18923) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18924)  op(e2, e1) = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18925)  all_54_12 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (18925) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18926)  all_52_3 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18926) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18927)  all_52_3 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (18927) imply:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18928)   ~ (all_52_2 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18929)  all_54_8 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (18928), (18929) are inconsistent by
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18930)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18931)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (143), (149), (159),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (167), (170), (224),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (259), (18030), (18033), (18034),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18039), (18526), (18727), (18751), (18759),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18760), (18914), (18918), (18919), (18924),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18930), (18931), (function-axioms) are
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #168.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18932)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18932) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18933)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18933) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18934)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (18771), (18924), (18934),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #709.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18935)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18935) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18936)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18936) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18937)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18938)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (143), (149),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (162), (163), (164), (165),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (170), (224), (231), (235), (238), (246),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (259), (18030), (18033), (18034), (18039),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18044), (18526), (18530), (18534), (18727),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18733), (18735), (18745), (18751), (18754),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18759), (18760), (18773), (18895), (18914),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18918), (18919), (18930), (18937), (18938),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #160.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18939)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18939) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18940)  op(e1, e0) = e0
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (18531), (18940), (function-axioms) are
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18941)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18941) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18942)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (18534),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18904), (18914), (18918), (18942),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #162.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18943)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18943) gives:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18944)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18944) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18945)  op(e1, e1) = e1
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18534), (18945), (function-axioms) are
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18946)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18946) implies:
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18947)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18948)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (143), (149),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (162), (163), (164), (165),
% 192.05/30.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (170), (224), (231), (235), (238), (246),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (259), (18030), (18033), (18034), (18039),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18044), (18526), (18530), (18534), (18727),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18733), (18735), (18745), (18751), (18754),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18759), (18760), (18773), (18895), (18914),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18918), (18919), (18930), (18947), (18948),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #160.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18949)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (18728), (18751), (18908), (18949) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #707.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18950)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (18534), (18909), (18950),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #761.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18951)  all_56_12 = e2 & op(e0, e3) = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18908), (18951), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18952)  all_56_13 = e1 & op(e0, e2) = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18778), (18880), (18952), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #178.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18953)  all_54_13 = e1 | all_54_13 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18954)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (170), (224), (18033),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18034), (18729), (18759), (18954),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #171.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18955)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18955) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18956)  all_56_7 = e1 & op(e1, e2) = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18956) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18957)  op(e1, e2) = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (248), (18773), (18953), (18957),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #509.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18958)  all_56_13 = e1 & op(e0, e2) = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18778), (18880), (18958), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #178.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18959)  all_56_13 = e3 & op(e0, e2) = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18959) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18960)  op(e0, e2) = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18032), (18960), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18961)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (18754), (18891), (18961),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #161.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18962)  all_56_5 = e3 & op(e2, e1) = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18962) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18963)  op(e2, e1) = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (18033), (18963), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18964)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (18534), (18891), (18964),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1361.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (18965)  all_56_15 = e1 & op(e0, e0) = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18965) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (18966)  op(e0, e0) = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18754), (18966), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | |   (18967)   ~ (all_40_1 = e0) & op(e2, e3) = all_40_1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | |            $i(all_40_1)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18760), (18967), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #177.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | |   (18968)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (218), (219),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | |            (220), (18534), (18752), (18968),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | | | |            #1639.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | |   (18969)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 192.05/30.50  | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 192.05/30.50  | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (18526), (18751), (18969),
% 192.05/30.50  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | |            #1767.
% 192.05/30.50  | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | |   (18970)  all_28_2 = e2
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | COMBINE_EQS: (330), (18970) imply:
% 192.05/30.50  | | | | | | | | | | | | |   (18971)  all_14_2 = e2
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | SIMP: (18971) implies:
% 192.05/30.50  | | | | | | | | | | | | |   (18972)  all_14_2 = e2
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | REDUCE: (351), (18972) imply:
% 192.05/30.50  | | | | | | | | | | | | |   (18973)   ~ (all_52_3 = e2)
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | REDUCE: (362), (18972) imply:
% 192.05/30.50  | | | | | | | | | | | | |   (18974)   ~ (all_52_7 = e2)
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | REDUCE: (370), (18972) imply:
% 192.05/30.50  | | | | | | | | | | | | |   (18975)   ~ (all_52_12 = e2)
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | REDUCE: (371), (18972) imply:
% 192.05/30.50  | | | | | | | | | | | | |   (18976)   ~ (all_52_13 = e2)
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | REDUCE: (372), (18972) imply:
% 192.05/30.50  | | | | | | | | | | | | |   (18977)   ~ (all_52_14 = e2)
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | REDUCE: (18046), (18972) imply:
% 192.05/30.50  | | | | | | | | | | | | |   (18978)   ~ (e3 = e2)
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | REDUCE: (51), (18972) imply:
% 192.05/30.50  | | | | | | | | | | | | |   (18979)  op(e0, e0) = e2
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | BETA: splitting (195) gives:
% 192.05/30.50  | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | |   (18980)  all_54_9 = e3
% 192.05/30.50  | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | REF_CLOSE: (258), (18031), (18980) are inconsistent by
% 192.05/30.50  | | | | | | | | | | | | | |            sub-proof #715.
% 192.05/30.50  | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | |   (18981)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 192.05/30.50  | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 192.05/30.50  | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | |   (18982)  all_54_4 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | REF_CLOSE: (269), (18029), (18982) are inconsistent by
% 192.05/30.50  | | | | | | | | | | | | | | |            sub-proof #1409.
% 192.05/30.50  | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | |   (18983)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | |   (18984)  all_54_8 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (18984) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | |   (18985)  all_52_2 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | REDUCE: (143), (18985) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | |   (18986)   ~ (all_52_6 = e3)
% 192.05/30.50  | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | REDUCE: (141), (18985) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | |   (18987)   ~ (all_52_14 = e3)
% 192.05/30.50  | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | SIMP: (18987) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | |   (18988)   ~ (all_52_14 = e3)
% 192.05/30.50  | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | |   (18989)  all_54_11 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (18988), (18989) are inconsistent by
% 192.05/30.50  | | | | | | | | | | | | | | | | |            sub-proof #1277.
% 192.05/30.50  | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | |   (18990)   ~ (all_54_11 = e3)
% 192.05/30.50  | | | | | | | | | | | | | | | | |   (18991)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | |   (18992)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | BETA: splitting (18992) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | |   (18993)  all_56_6 = e3 & op(e1, e3) = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | ALPHA: (18993) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | |   (18994)  all_56_6 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | |   (18995)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (18995) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | |   (18996)  all_56_0 = e2 & op(e3, e3) = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | ALPHA: (18996) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | |   (18997)  op(e3, e3) = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18733), (18997), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | |   (18998)  all_56_2 = e2 & op(e2, e3) = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | ALPHA: (18998) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | |   (18999)  all_56_2 = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18991) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | |   (19000)  all_54_11 = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (18977), (19000) are inconsistent by
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | |   (19001)   ~ (all_54_11 = e2)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | |   (19002)  all_54_11 = e1 | all_54_11 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19002) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | |   (19003)  all_54_11 = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (19003) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | |   (19004)  all_52_14 = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19004) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | |   (19005)  all_52_14 = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (19005) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | |   (19006)   ~ (all_52_13 = e1)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18988), (19005) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | |   (19007)   ~ (e3 = e1)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | |   (19008)  all_54_7 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (19008) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | |   (19009)  all_52_13 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18034), (19009) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | |   (19010)  $false
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19010) is inconsistent.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | |   (19011)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (19012)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (18731), (19006), (19012),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | |            #1190.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (19013)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19013) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19014)  all_56_11 = e1 & op(e1, e0) = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19014) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19015)  all_56_11 = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19016)  op(e1, e0) = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19017)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19017) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19018)  all_56_0 = e0 & op(e3, e3) = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19018) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19019)  op(e3, e3) = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18733), (19019), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19020)  all_56_2 = e0 & op(e2, e3) = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18999), (19020) are inconsistent by
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1546.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19021)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19021) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19022)  all_56_6 = e0 & op(e1, e3) = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19022) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19023)  all_56_6 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (18534),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19015), (19023), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1575.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19024)  all_56_12 = e0 & op(e0, e3) = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19024) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19025)  all_56_12 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19026)  op(e0, e3) = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19011) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19027)  all_54_7 = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (18976), (19027) are inconsistent by
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19028)  all_54_7 = e1 | all_54_7 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19029)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19029) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19030)  all_56_6 = e2 & op(e1, e3) = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19030) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19031)  all_56_6 = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (18031), (18534),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18988), (19031), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1405.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19032)  all_56_7 = e2 & op(e1, e2) = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19032) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19033)  op(e1, e2) = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19028) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19034)  all_54_7 = e1
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (19006), (19034) are inconsistent by
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1446.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19035)  all_54_7 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (19035) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19036)  all_52_13 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19036) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19037)  all_52_13 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (19037) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19038)   ~ (all_52_12 = e0)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19006), (19037) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19039)   ~ (e1 = e0)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19040)  all_54_3 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (19040) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19041)  all_52_12 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19041) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19042)  all_52_12 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (19042) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19043)   ~ (all_52_8 = e3)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (19042) imply:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19044)  op(e3, e0) = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19045)  all_54_2 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (19043), (19045) are inconsistent by
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1762.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19046)   ~ (all_54_2 = e3)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19047)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19048)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19048) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19049)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19049) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19050)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19050) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19051)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19051) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19052)  op(e3, e2) = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (19052), (function-axioms) are
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19053)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19053) implies:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19054)  op(e3, e2) = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (170), (271), (18528), (18730), (19047),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19054), (function-axioms) are inconsistent by
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #159.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19055)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (169), (18727), (19043), (19055),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1733.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19056)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19056) gives:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19057)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (18733), (19038), (19057),
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1732.
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19058)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18039), (19033), (19058),
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #158.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19059)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19059) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19060)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19060) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19061)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19061) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19062)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19062) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19063)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18733), (19044), (19063), (function-axioms)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #203.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19064)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19064) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19065)  op(e0, e2) = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (158), (159), (19026), (19065),
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #157.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19066)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18733), (19016), (19044), (19066),
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #156.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19067)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19067) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19068)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (231), (18039), (18994),
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18999), (19025), (19068), (function-axioms) are
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #193.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19069)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19069) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19070)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19070) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19071)  op(e1, e1) = e1
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18534), (19071), (function-axioms) are
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19072)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19072) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19073)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18733), (19044), (19073), (function-axioms)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #203.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19074)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (18975), (19016), (19038),
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19074), (function-axioms) are inconsistent by
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1290.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19075)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (18534), (18977), (19075),
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #759.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19076)  all_56_15 = e1 & op(e0, e0) = e1
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19076) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19077)  op(e0, e0) = e1
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18979), (19077), (function-axioms) are
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | |   (19078)  all_54_11 = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (18531), (19078) are inconsistent by
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | |   (19079)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19079) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | |   (19080)  all_56_6 = e2 & op(e1, e3) = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19080) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | |   (19081)  all_56_6 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (18031), (18534),
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | |            (18988), (19081), (function-axioms) are
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1405.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | |   (19082)  all_56_12 = e2 & op(e0, e3) = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18973), (19082), (function-axioms) are
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | |   (19083)  all_56_7 = e3 & op(e1, e2) = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | ALPHA: (19083) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | |   (19084)  op(e1, e2) = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (18031), (19084), (function-axioms) are
% 192.05/30.51  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | |   (19085)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (18534), (18988), (19085),
% 192.05/30.51  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.51  | | | | | | | | | | | | | | | | | |            #1406.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | |   (19086)   ~ (all_54_8 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | |   (19087)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | REDUCE: (259), (19086) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | |   (19088)   ~ (all_52_2 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | BETA: splitting (19087) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | |   (19089)  all_54_8 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (19089) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | |   (19090)  all_52_2 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | REDUCE: (149), (19090) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | |   (19091)   ~ (all_52_1 = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | REDUCE: (144), (19090) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | |   (19092)   ~ (all_52_3 = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | REDUCE: (143), (19090) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | |   (19093)   ~ (all_52_6 = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | SIMP: (19093) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | |   (19094)   ~ (all_52_6 = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | REDUCE: (141), (19090) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | |   (19095)   ~ (all_52_14 = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | |   (19096)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | BETA: splitting (19096) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | |   (19097)  all_56_1 = e2 & op(e3, e2) = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | ALPHA: (19097) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | |   (19098)  all_56_1 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | |   (19099)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (18733), (19091), (19099),
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | |            #1469.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | |   (19100)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19100) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | |   (19101)  all_56_6 = e2 & op(e1, e3) = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19101) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | |   (19102)  all_56_6 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | |   (19103)  op(e1, e3) = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | |   (19104)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (18039), (19098), (19104),
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | |            #155.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | |   (19105)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19105) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | |   (19106)  all_56_7 = e0 & op(e1, e2) = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (18527), (19106), (function-axioms) are
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #369.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | |   (19107)  all_56_13 = e0 & op(e0, e2) = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19107) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | |   (19108)  all_56_13 = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18981) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | |   (19109)  all_54_9 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (19109) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | |   (19110)  all_52_6 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19094), (19110) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | |   (19111)  $false
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19111) is inconsistent.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | |   (19112)   ~ (all_54_9 = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | |   (19113)  all_54_9 = e1 | all_54_9 = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19113) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (19114)  all_54_9 = e1
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (19114) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (19115)  all_52_6 = e1
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19115) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (19116)   ~ (all_52_7 = e1)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19116) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (19117)   ~ (all_52_7 = e1)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (19115) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (19118)   ~ (all_52_14 = e1)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19118) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (19119)   ~ (all_52_14 = e1)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (19115) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (19120)  op(e1, e2) = e1
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19121)  all_54_11 = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (19121) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19122)  all_52_14 = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (19122) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19123)   ~ (all_52_12 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18983) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19124)  all_54_4 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (19091), (19124) are inconsistent by
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1833.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19125)   ~ (all_54_4 = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19126)  all_54_4 = e1 | all_54_4 = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19126) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19127)  all_54_4 = e1
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (18726), (19127) are inconsistent by
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1832.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19128)  all_54_4 = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (19128) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19129)  all_52_1 = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19129) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19130)  all_52_1 = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (19130) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19131)   ~ (all_52_3 = e0)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19131) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19132)   ~ (all_52_3 = e0)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (19130) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19133)   ~ (all_52_13 = e0)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19133) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19134)   ~ (all_52_13 = e0)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18726), (19130) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19135)   ~ (e1 = e0)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19136)  all_54_12 = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (19136) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19137)  all_52_3 = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19137) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19138)  all_52_3 = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (19138) imply:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19139)   ~ (all_52_11 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19139) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19140)   ~ (all_52_11 = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19141)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19141) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19142)  all_56_12 = e3 & op(e0, e3) = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19142) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19143)  all_56_12 = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19144)  op(e0, e3) = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19145)  all_56_15 = e0 & op(e0, e0) = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19145) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19146)  op(e0, e0) = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18979), (19146), (function-axioms) are
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19147)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19147) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19148)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19148) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19149)  all_56_9 = e0 & op(e3, e0) = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19149) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19150)  op(e3, e0) = e0
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19151)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19151) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19152)  all_56_0 = e3 & op(e3, e3) = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19152) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19153)  op(e3, e3) = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (19102),
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19143), (19153), (function-axioms) are
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19154)  all_56_1 = e3 & op(e3, e2) = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19154) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19155)  op(e3, e2) = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (19155), (function-axioms) are
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19156)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19156) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19157)  all_56_4 = e3 & op(e3, e1) = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19157) implies:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19158)  all_56_4 = e3
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19159)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19159) gives:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19160)  all_56_4 = e2 & op(e3, e1) = e2
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19158), (19160) are inconsistent by
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1920.
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19161)  all_56_5 = e2 & op(e2, e1) = e2
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19161) implies:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19162)  op(e2, e1) = e2
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19163)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19163) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19164)  all_56_0 = e0 & op(e3, e3) = e0
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19164) implies:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19165)  op(e3, e3) = e0
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18733), (19165), (function-axioms) are
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19166)  all_56_2 = e0 & op(e2, e3) = e0
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19166) implies:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19167)  all_56_2 = e0
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19168)  op(e2, e3) = e0
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19169)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (158), (19117), (19144), (19169),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #248.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19170)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19170) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19171)  all_56_14 = e1 & op(e0, e1) = e1
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19171) implies:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19172)  all_56_14 = e1
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19173)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19173) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19174)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19174) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19175)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (170), (18030), (19162),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19175), (function-axioms) are inconsistent by
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #206.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19176)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19176) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19177)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19177) implies:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19178)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (164), (167), (223), (18039), (18976),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19091), (19178), (function-axioms) are
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #211.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19179)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19179) implies:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19180)  op(e1, e3) = e1
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (162), (163), (19120), (19180),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #185.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19181)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19181) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19182)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (159), (231), (235),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19102), (19103), (19132), (19167), (19168),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19182), (function-axioms) are inconsistent by
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #181.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19183)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (164), (165), (224), (18033),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18034), (19162), (19167), (19183),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #180.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19184)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19184) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19185)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19185) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19186)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18976), (19134), (19186),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1172.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19187)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19187) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19188)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19188) implies:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19189)  op(e1, e0) = e1
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (19119), (19189), (function-axioms) are
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19190)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19190) implies:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19191)  op(e1, e0) = e0
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (201), (270), (18731), (18975),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19123), (19191), (function-axioms) are
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1077.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19192)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19192) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19193)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (18534),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19102), (19120), (19143), (19193),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #162.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19194)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19194) gives:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19195)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19195) implies:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19196)  op(e1, e1) = e1
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18534), (19196), (function-axioms) are
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19197)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19197) implies:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19198)  op(e0, e0) = e0
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (19108), (19143), (19172),
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19198), (function-axioms) are inconsistent by
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #326.
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19199)  all_56_15 = e1 & op(e0, e0) = e1
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19199) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19200)  op(e0, e0) = e1
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18979), (19200), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19201)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19201) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19202)  all_56_6 = e0 & op(e1, e3) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19202) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19203)  all_56_6 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (18534), (19119), (19203),
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1527.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19204)  all_56_12 = e0 & op(e0, e3) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19204) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19205)  op(e0, e3) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (19132), (19205), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19206)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19206) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19207)  all_56_8 = e2 & op(e1, e1) = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19207) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19208)  op(e1, e1) = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18534), (19208), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19209)  all_56_14 = e2 & op(e0, e1) = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19209) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19210)  all_56_14 = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (18728), (18979), (19210),
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1228.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19211)  all_56_9 = e3 & op(e3, e0) = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19211) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19212)  op(e3, e0) = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19150), (19212), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19213)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19213) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19214)  all_56_10 = e0 & op(e2, e0) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19214) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19215)  op(e2, e0) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (19134), (19215), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19216)  all_56_11 = e0 & op(e1, e0) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19216) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19217)  op(e1, e0) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (201), (270), (18731), (18975),
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19123), (19217), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1077.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19218)  all_56_13 = e3 & op(e0, e2) = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19218) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19219)  all_56_13 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19220)  all_56_15 = e0 & op(e0, e0) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19220) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19221)  op(e0, e0) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18979), (19221), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19222)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19222) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19223)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19223) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19224)  all_56_12 = e0 & op(e0, e3) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19224) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19225)  op(e0, e3) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (19132), (19225), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19226)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (18530), (19219), (19226),
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1343.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19227)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19227) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19228)  all_56_14 = e3 & op(e0, e1) = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (19140), (19228), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #154.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19229)  all_56_15 = e3 & op(e0, e0) = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19229) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19230)  op(e0, e0) = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18979), (19230), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19231)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (18728), (18973), (19132), (19231) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #707.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19232)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (18531), (18977), (19119), (19232) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1335.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19233)  all_54_9 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (19233) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19234)  all_52_6 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18527), (19234) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19235)  $false
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19235) is inconsistent.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |   (19236)  all_56_12 = e2 & op(e0, e3) = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (18973), (19236), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | |   (19237)  all_56_3 = e2 & op(e2, e2) = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | ALPHA: (19237) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | |   (19238)  op(e2, e2) = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (19238), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | |   (19239)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (18974), (19094), (19239),
% 192.05/30.53  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.53  | | | | | | | | | | | | | | | | | |            #427.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | |   (19240)  all_54_8 = e1 | all_54_8 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (18526), (18727), (19240) are inconsistent
% 192.05/30.53  | | | | | | | | | | | | | | | | |            by sub-proof #1365.
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | End of split
% 192.05/30.53  | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | |   (19241)  all_20_2 = e3
% 192.05/30.53  | | | | | | | | | |   (19242)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0
% 192.05/30.53  | | | | | | | | | |              & op(e1, e3) = all_20_1 & $i(all_20_0) &
% 192.05/30.53  | | | | | | | | | |              $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1, e3)
% 192.05/30.53  | | | | | | | | | |              = all_20_1 & $i(all_20_1))
% 192.05/30.53  | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | COMBINE_EQS: (325), (19241) imply:
% 192.05/30.53  | | | | | | | | | |   (19243)  all_10_2 = e3
% 192.05/30.53  | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | COMBINE_EQS: (331), (19243) imply:
% 192.05/30.53  | | | | | | | | | |   (19244)  all_30_2 = e3
% 192.05/30.53  | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | REDUCE: (366), (19243) imply:
% 192.05/30.53  | | | | | | | | | |   (19245)   ~ (all_52_11 = e3)
% 192.05/30.53  | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | REDUCE: (368), (19243) imply:
% 192.05/30.53  | | | | | | | | | |   (19246)   ~ (all_52_14 = e3)
% 192.05/30.53  | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | REDUCE: (45), (19243) imply:
% 192.05/30.53  | | | | | | | | | |   (19247)  op(e1, e1) = e3
% 192.05/30.53  | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | BETA: splitting (209) gives:
% 192.05/30.53  | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | |   (19248)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.05/30.53  | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.05/30.53  | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | BETA: splitting (19248) gives:
% 192.05/30.53  | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | |   (19249)  all_56_12 = e3 & op(e0, e3) = e3
% 192.05/30.53  | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | ALPHA: (19249) implies:
% 192.05/30.53  | | | | | | | | | | | |   (19250)  all_56_12 = e3
% 192.05/30.53  | | | | | | | | | | | |   (19251)  op(e0, e3) = e3
% 192.05/30.53  | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | BETA: splitting (212) gives:
% 192.05/30.53  | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | |   (19252)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 192.05/30.53  | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 192.05/30.53  | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | BETA: splitting (19252) gives:
% 192.05/30.53  | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | |   (19253)  all_56_9 = e3 & op(e3, e0) = e3
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | ALPHA: (19253) implies:
% 192.05/30.53  | | | | | | | | | | | | | |   (19254)  all_56_9 = e3
% 192.05/30.53  | | | | | | | | | | | | | |   (19255)  op(e3, e0) = e3
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 192.05/30.53  | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (19251) gives:
% 192.05/30.53  | | | | | | | | | | | | | |   (19256)  all_52_3 = e3
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 192.05/30.53  | | | | | | | | | | | | | |              e3, e0, e3, simplifying with (168), (19255) gives:
% 192.05/30.53  | | | | | | | | | | | | | |   (19257)  all_52_12 = e3
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | REDUCE: (144), (19256) imply:
% 192.05/30.53  | | | | | | | | | | | | | |   (19258)   ~ (all_52_2 = e3)
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | REDUCE: (120), (19257) imply:
% 192.05/30.53  | | | | | | | | | | | | | |   (19259)   ~ (all_52_8 = e3)
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | REDUCE: (113), (19257) imply:
% 192.05/30.53  | | | | | | | | | | | | | |   (19260)   ~ (all_52_13 = e3)
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | REDUCE: (112), (19257) imply:
% 192.05/30.53  | | | | | | | | | | | | | |   (19261)   ~ (all_52_14 = e3)
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | REDUCE: (370), (19257) imply:
% 192.05/30.53  | | | | | | | | | | | | | |   (19262)   ~ (all_14_2 = e3)
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | REDUCE: (348), (19257) imply:
% 192.05/30.53  | | | | | | | | | | | | | |   (19263)   ~ (all_6_2 = e3)
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | SIMP: (19263) implies:
% 192.05/30.53  | | | | | | | | | | | | | |   (19264)   ~ (all_6_2 = e3)
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 192.05/30.53  | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | |   (19265)  all_54_0 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | REF_CLOSE: (279), (19264), (19265) are inconsistent by
% 192.05/30.53  | | | | | | | | | | | | | | |            sub-proof #1225.
% 192.05/30.53  | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | |   (19266)   ~ (all_54_0 = e3)
% 192.05/30.53  | | | | | | | | | | | | | | |   (19267)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | BETA: splitting (19267) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | |   (19268)  all_54_0 = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | REF_CLOSE: (279), (18043), (19268) are inconsistent by
% 192.05/30.53  | | | | | | | | | | | | | | | |            sub-proof #1224.
% 192.05/30.53  | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | |   (19269)   ~ (all_54_0 = e2)
% 192.05/30.53  | | | | | | | | | | | | | | | |   (19270)  all_54_0 = e1 | all_54_0 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | BETA: splitting (19270) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | |   (19271)  all_54_0 = e1
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (19271) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | |   (19272)  all_6_2 = e1
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | SIMP: (19272) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | |   (19273)  all_6_2 = e1
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | REDUCE: (340), (19273) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | |   (19274)   ~ (all_52_2 = e1)
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | REDUCE: (344), (19273) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | |   (19275)   ~ (all_52_4 = e1)
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | REDUCE: (346), (19273) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | |   (19276)   ~ (all_52_8 = e1)
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | REDUCE: (19264), (19273) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | |   (19277)   ~ (e3 = e1)
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | REDUCE: (18043), (19273) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | |   (19278)   ~ (e2 = e1)
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | REDUCE: (39), (19273) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | |   (19279)  op(e3, e3) = e1
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | |   (19280)   ~ (all_28_2 = e2)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | REDUCE: (330), (19280) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | |   (19281)   ~ (all_14_2 = e2)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | |   (19282)  all_54_15 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (19282) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | |   (19283)  all_14_2 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | REDUCE: (18046), (19283) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | |   (19284)  $false
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | CLOSE: (19284) is inconsistent.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | |   (19285)   ~ (all_54_15 = e3)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | |   (19286)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | BETA: splitting (19286) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | |   (19287)  all_54_15 = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (19287) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | |   (19288)  all_14_2 = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | REDUCE: (19281), (19288) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | |   (19289)  $false
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | CLOSE: (19289) is inconsistent.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | |   (19290)   ~ (all_54_15 = e2)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | |   (19291)  all_54_15 = e1 | all_54_15 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |   (19292)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19292) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |   (19293)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19293) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |   (19294)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19294) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |   (19295)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19295) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |   (19296)  op(e3, e2) = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (19296), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |   (19297)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19297) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |   (19298)  op(e2, e3) = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |   (19299)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19291) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19300)  all_54_15 = e1
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (18044), (19300) are inconsistent by
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1660.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19301)  all_54_15 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (19301) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19302)  all_14_2 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19302) implies:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19303)  all_14_2 = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (19303) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19304)   ~ (all_52_7 = e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (19303) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19305)   ~ (all_52_11 = e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18046), (19303) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19306)   ~ (e3 = e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19281), (19303) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19307)   ~ (e2 = e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18044), (19303) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19308)   ~ (e1 = e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (19303) imply:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (19309)  op(e0, e0) = e0
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19310)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19310) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19311)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19311) gives:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19312)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (19312), (function-axioms) are
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19313)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (19274), (19313), (function-axioms) are
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #219.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19314)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19314) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19315)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (19315), (function-axioms) are
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19316)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19316) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19317)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19317) implies:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19318)  op(e3, e3) = e2
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19279), (19318), (function-axioms) are
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19319)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19319) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19320)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19320) implies:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19321)  op(e0, e0) = e2
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19309), (19321), (function-axioms) are
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19322)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19322) implies:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19323)   ~ (all_57_10 = e1)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19324)  op(e3, e3) = all_57_10
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19279), (19323), (19324), (function-axioms) are
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1319.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19325)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19325) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19326)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19326) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19327)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (146), (165), (167), (19298), (19309),
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19327), (function-axioms) are inconsistent by
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #518.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19328)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19328) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19329)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19329) implies:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19330)  op(e0, e0) = e1
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19309), (19330), (function-axioms) are
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19331)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (19247), (19331), (function-axioms)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #153.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19332)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19332) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19333)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19279), (19333), (function-axioms) are
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19334)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19334) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19335)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19335) implies:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19336)  op(e1, e1) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19247), (19336), (function-axioms) are
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19337)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19337) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19338)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19338) implies:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19339)  op(e2, e2) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (19339), (function-axioms) are
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19340)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19340) implies:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19341)  op(e0, e0) = all_57_15
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19342)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19342) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19343)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19343) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19344)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19344) implies:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19345)   ~ (all_57_15 = e3)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19346)  op(e0, e3) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19299), (19341), (19345), (19346),
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1275.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19347)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19347) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19348)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19348) implies:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19349)   ~ (all_57_15 = e3)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19350)  op(e0, e3) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19299), (19341), (19349), (19350),
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1275.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19351)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19351) implies:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19352)  op(e0, e2) = e0
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (19304), (19352), (function-axioms) are
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19353)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (158), (18039), (19304), (19305),
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19353), (function-axioms) are inconsistent by
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #152.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |   (19354)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (163), (168), (169), (19255), (19274),
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |            (19354), (function-axioms) are inconsistent by
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1482.
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |   (19355)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19355) gives:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |   (19356)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (19255), (19279), (19356),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            #506.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |   (19357)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18039), (19247), (19357),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            #151.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |   (19358)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19358) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |   (19359)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19359) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |   (19360)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19360) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |   (19361)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19361) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |   (19362)  op(e2, e2) = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (19362), (function-axioms) are
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |   (19363)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19363) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |   (19364)  op(e0, e0) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (18044), (19281), (19291), (19364),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            #1645.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |   (19365)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19365) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |   (19366)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19366) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |   (19367)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19255), (19279), (19367), (function-axioms)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #203.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |   (19368)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19368) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |   (19369)  op(e0, e0) = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (18044), (19291), (19369),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |            #1642.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |   (19370)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19370) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |   (19371)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18039), (19279), (19371),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            #205.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |   (19372)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (19247), (19255), (19279), (19372),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |            #150.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | |   (19373)  all_28_2 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (19373) imply:
% 192.05/30.55  | | | | | | | | | | | | | | | | | |   (19374)  all_14_2 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | SIMP: (19374) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | |   (19375)  all_14_2 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | REDUCE: (362), (19375) imply:
% 192.05/30.55  | | | | | | | | | | | | | | | | | |   (19376)   ~ (all_52_7 = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | REDUCE: (369), (19375) imply:
% 192.05/30.55  | | | | | | | | | | | | | | | | | |   (19377)   ~ (all_52_11 = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | REDUCE: (371), (19375) imply:
% 192.05/30.55  | | | | | | | | | | | | | | | | | |   (19378)   ~ (all_52_13 = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | REDUCE: (372), (19375) imply:
% 192.05/30.55  | | | | | | | | | | | | | | | | | |   (19379)   ~ (all_52_14 = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | REDUCE: (18046), (19375) imply:
% 192.05/30.55  | | | | | | | | | | | | | | | | | |   (19380)   ~ (e3 = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | REDUCE: (51), (19375) imply:
% 192.05/30.55  | | | | | | | | | | | | | | | | | |   (19381)  op(e0, e0) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | |   (19382)   ~ (all_30_2 = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | REDUCE: (19244), (19382) imply:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | |   (19383)  $false
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | CLOSE: (19383) is inconsistent.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | |   (19384)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | |              $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | |              = all_30_1 & $i(all_30_1))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | |   (19385)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19385) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |   (19386)  all_56_0 = e2 & op(e3, e3) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19386) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |   (19387)  op(e3, e3) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19279), (19387), (function-axioms) are
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |   (19388)  all_56_1 = e2 & op(e3, e2) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19388) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |   (19389)  all_56_1 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | |   (19390)  op(e3, e2) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |   (19391)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (19279), (19389), (19391),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |            #149.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |   (19392)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19392) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |   (19393)  all_56_4 = e0 & op(e3, e1) = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19393) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | |   (19394)  all_56_4 = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |   (19395)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19395) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (19396)  all_56_4 = e2 & op(e3, e1) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19396) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (19397)  all_56_4 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19398)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (19279), (19390), (19398),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            #513.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19399)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19399) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19400)  all_56_4 = e3 & op(e3, e1) = e3
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19400) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19401)  op(e3, e1) = e3
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (19259), (19401), (function-axioms) are
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (230), (19255), (19279), (19389),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19397), (function-axioms) are inconsistent by
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #148.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (19402)  all_56_5 = e2 & op(e2, e1) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19402) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (19403)  op(e2, e1) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19404)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            (18039), (19250), (19279), (19404),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            #147.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19405)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19405) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19406)  all_56_5 = e1 & op(e2, e1) = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19406) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19407)  op(e2, e1) = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19403), (19407), (function-axioms) are
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19408)  all_56_10 = e1 & op(e2, e0) = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19408) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19409)  all_56_10 = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19410)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (19276), (19403), (19410),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1391.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19411)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19411) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19412)  all_56_8 = e1 & op(e1, e1) = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19412) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19413)  op(e1, e1) = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19247), (19413), (function-axioms) are
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19414)  all_56_14 = e1 & op(e0, e1) = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19414) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19415)  all_56_14 = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19416)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19416) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19417)  all_56_2 = e0 & op(e2, e3) = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19417) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19418)  all_56_2 = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19419)  op(e2, e3) = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19420)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19420) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19421)  all_56_0 = e2 & op(e3, e3) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19421) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19422)  op(e3, e3) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19279), (19422), (function-axioms) are
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19423)  all_56_2 = e2 & op(e2, e3) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19423) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19424)  op(e2, e3) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (19403), (19424),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19425)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19425) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19426)  all_56_6 = e2 & op(e1, e3) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19426) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19427)  all_56_6 = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19428)  op(e1, e3) = e2
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19429)  all_56_15 = e0 & op(e0, e0) = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19429) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19430)  op(e0, e0) = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19381), (19430), (function-axioms) are
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19431)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19431) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19432)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19432) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19433)  all_56_12 = e0 & op(e0, e3) = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19250), (19433) are inconsistent by
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1846.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19434)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19434) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19435)  all_56_13 = e0 & op(e0, e2) = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19435) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19436)  all_56_13 = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19437)  op(e0, e2) = e0
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19438)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (170), (224), (18033),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18034), (19275), (19418), (19438),
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #171.
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19439)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19439) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19440)  all_56_7 = e1 & op(e1, e2) = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19440) implies:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19441)  op(e1, e2) = e1
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19442)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19442) gives:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19443)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19443) gives:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19444)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (170), (18030), (19403),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19444), (function-axioms) are inconsistent by
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #206.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19445)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19445) gives:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19446)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19446) implies:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19447)  op(e3, e1) = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (19255), (19447),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1912.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19448)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19242), (19384), (19428), (19448),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #289.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19449)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19449) gives:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19450)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19450) gives:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19451)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19451) implies:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19452)  op(e3, e3) = e0
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (19418),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19419), (19427), (19428), (19452),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #400.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19453)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19453) implies:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19454)  op(e0, e3) = e0
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (158), (159), (19437), (19454),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #157.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19455)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (164), (165), (224), (18033),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18034), (19403), (19418), (19455),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #180.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19456)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19456) gives:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19457)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19457) gives:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19458)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19458) gives:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19459)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19459) implies:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19460)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19255), (19279), (19460), (function-axioms)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #203.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19461)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19461) implies:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19462)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19247), (19441), (19462), (function-axioms)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #879.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19463)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (19255), (19279), (19381), (19463),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #194.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19464)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19464) gives:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19465)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19465) gives:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19466)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19466) implies:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19467)  op(e3, e3) = e3
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (19250),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19427), (19467), (function-axioms) are
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19468)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19468) implies:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19469)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19247), (19441), (19469), (function-axioms)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #879.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19470)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (19247), (19255), (19279), (19470),
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #150.
% 192.05/30.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19471)  all_56_13 = e1 & op(e0, e2) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19471) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19472)  all_56_13 = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19436), (19472) imply:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19473)  e1 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (19473) imply:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19474)  $false
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19474) is inconsistent.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19475)  all_56_14 = e0 & op(e0, e1) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19415), (19475) are inconsistent by
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1199.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19476)  all_56_12 = e2 & op(e0, e3) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19250), (19476) are inconsistent by
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1848.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19477)  all_56_3 = e0 & op(e2, e2) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19477) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19478)  op(e2, e2) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (19478), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19479)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19479) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19480)  all_56_5 = e0 & op(e2, e1) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19480) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19481)  all_56_5 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (19247),
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19394), (19481), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1153.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19482)  all_56_10 = e0 & op(e2, e0) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19409), (19482) are inconsistent by
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1792.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | |   (19483)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (19247), (19377), (19483),
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | |            #685.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | |   (19484)  all_56_9 = e0 & op(e3, e0) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19484) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | |   (19485)  op(e3, e0) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19255), (19485), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | |   (19486)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19486) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | |   (19487)  all_56_4 = e2 & op(e3, e1) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19487) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | |   (19488)  all_56_4 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | |   (19489)  op(e3, e1) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | |   (19490)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19490) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | |   (19491)  all_56_0 = e0 & op(e3, e3) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19491) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | |   (19492)  op(e3, e3) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19279), (19492), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | |   (19493)  all_56_1 = e0 & op(e3, e2) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19493) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | |   (19494)  all_56_1 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | |   (19495)  op(e3, e2) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | |   (19496)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19496) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (19497)  all_56_1 = e2 & op(e3, e2) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19497) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (19498)  all_56_1 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (230), (19255), (19279), (19488),
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | |            (19498), (function-axioms) are inconsistent by
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #148.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (19499)  all_56_3 = e2 & op(e2, e2) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19499) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (19500)  op(e2, e2) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (19500), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | |   (19501)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19501) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (19502)  all_56_7 = e2 & op(e1, e2) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19502) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (19503)  all_56_7 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (19504)  op(e1, e2) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19505)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19505) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19506)  all_56_6 = e1 & op(e1, e3) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19506) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19507)  op(e1, e3) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (19274), (19507), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1974.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19508)  all_56_7 = e1 & op(e1, e2) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19508) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19509)  op(e1, e2) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19504), (19509), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19510)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19510) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19511)  all_56_8 = e1 & op(e1, e1) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19511) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19512)  op(e1, e1) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19247), (19512), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19513)  all_56_11 = e1 & op(e1, e0) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19513) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19514)  op(e1, e0) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19515)  all_56_15 = e0 & op(e0, e0) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19515) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19516)  op(e0, e0) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19381), (19516), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19517)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19517) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19518)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19519)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19519) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19520)  all_56_9 = e0 & op(e3, e0) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19520) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19521)  all_56_9 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19522)  op(e3, e0) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (19279),
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19494), (19521), (19522), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1416.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19523)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19523) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19524)  all_56_10 = e0 & op(e2, e0) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19524) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19525)  op(e2, e0) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19526)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (18039), (19275), (19526),
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #146.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19527)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19527) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19528)  all_56_7 = e1 & op(e1, e2) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19528) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19529)  op(e1, e2) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19504), (19529), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19530)  all_56_13 = e1 & op(e0, e2) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19530) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19531)  all_56_13 = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19518) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19532)  all_56_12 = e0 & op(e0, e3) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19250), (19532) are inconsistent by
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1846.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19533)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19533) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19534)  all_56_13 = e0 & op(e0, e2) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19534) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19535)  all_56_13 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19531), (19535) are inconsistent by
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1787.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19536)  all_56_14 = e0 & op(e0, e1) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19536) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19537)  all_56_14 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19538)  op(e0, e1) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19539)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19539) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19540)  all_56_4 = e1 & op(e3, e1) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19540) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19541)  op(e3, e1) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (19276), (19541), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19542)  all_56_5 = e1 & op(e2, e1) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19542) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19543)  op(e2, e1) = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19544)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19544) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19545)  all_56_2 = e2 & op(e2, e3) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19545) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19546)  all_56_2 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19547)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19547) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19548)  all_56_6 = e0 & op(e1, e3) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19548) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19549)  all_56_6 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19550)  op(e1, e3) = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (19538) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19551)  all_52_11 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (19514) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19552)  all_52_14 = e1
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (19504) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19553)  all_52_6 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (19550) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19554)  all_52_2 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (19525) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19555)  all_52_13 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (19489) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19556)  all_52_8 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (19495) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19557)  all_52_4 = e0
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (19552), (19555) imply:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19558)   ~ (e1 = e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18034), (19555) imply:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19559)   ~ (e3 = e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19378), (19555) imply:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19560)   ~ (e2 = e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19561)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19561) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19562)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19562) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19563)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19563) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19564)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19564) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19565)  op(e3, e2) = e3
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (19565), (function-axioms) are
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19566)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19566) implies:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19567)  op(e2, e3) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19568)  op(e3, e2) = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19569)  op(e3, e3) = all_57_10
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19570)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19571)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19571) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19572)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19572) gives:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19573)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (19573), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19574)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19550), (19574), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #145.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19575)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19575) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19576)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (19576), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19577)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19577) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19578)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19578) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19579)  op(e1, e2) = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19504), (19579), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19580)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19580) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19581)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19581) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19582)  op(e1, e2) = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19504), (19582), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19583)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19583) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19584)   ~ (all_57_10 = e1)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19279), (19569), (19584), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1319.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19585)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19585) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19586)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19586) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19587)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19587) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19588)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19588) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19589)  op(e0, e0) = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19381), (19589), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19590)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19590) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19591)  op(e2, e1) = e2
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (19567), (19591),
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19592)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (18039), (19381), (19514), (19592),
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #144.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19593)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19593) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19594)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19279), (19594), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19595)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19595) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19596)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19596) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19597)   ~ (all_57_13 = e1)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19598)  op(e1, e0) = all_57_13
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19514), (19597), (19598), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19599)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19599) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19600)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19600) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19601)  op(e2, e2) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (19601), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19602)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19602) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19603)  op(e0, e0) = all_57_15
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19604)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19604) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19605)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19605) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19606)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19606) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19607)   ~ (all_57_15 = e3)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19608)  op(e0, e3) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19570), (19603), (19607), (19608),
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1275.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19609)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19609) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19610)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19610) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19611)   ~ (all_57_15 = e3)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19612)  op(e0, e3) = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19570), (19603), (19611), (19612),
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1275.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19613)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19613) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19614)   ~ (all_57_15 = e2)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19381), (19603), (19614), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19615)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19615) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19616)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19616) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19617)   ~ (all_57_15 = e2)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19381), (19603), (19617), (function-axioms) are
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19618)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19618) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19619)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19619) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19620)  all_57_10 = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (19495), (19568) gives:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19621)  e2 = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19546), (19621) imply:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19622)  all_56_2 = e0
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (163), (233), (235),
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19258), (19279), (19549), (19622),
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1176.
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19623)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19623) implies:
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19624)  op(e2, e2) = e1
% 192.05/30.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (19624), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19625)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19625) gives:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19626)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19626) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19627)  op(e3, e1) = e3
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (19255), (19627),
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1912.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19628)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19628) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19629)  op(e1, e3) = e1
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19550), (19629), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #489.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19630)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19630) gives:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19631)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (139), (157), (159), (19279), (19538),
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19631), (function-axioms) are inconsistent by
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1195.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19632)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18039), (19504), (19632),
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #158.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19633)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19633) gives:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19634)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19634) gives:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19635)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19635) gives:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19636)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19636) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19637)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19255), (19279), (19637), (function-axioms)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #203.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19638)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19638) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19639)  op(e0, e2) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (157), (158), (19538), (19639),
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #493.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19640)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19255), (19279), (19514), (19640),
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #156.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19641)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19641) gives:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19642)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18039), (19279), (19642),
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #205.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19643)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19643) gives:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19644)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19644) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19645)  op(e1, e1) = e1
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (162), (216), (18031), (19246),
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19549), (19645), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #143.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19646)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19646) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19647)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19255), (19279), (19647), (function-axioms)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #203.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19648)  all_56_7 = e0 & op(e1, e2) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19648) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19649)  all_56_7 = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19503), (19649) are inconsistent by
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1868.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19650)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19650) gives:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19651)  all_56_8 = e0 & op(e1, e1) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19651) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19652)  op(e1, e1) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19247), (19652), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19653)  all_56_11 = e0 & op(e1, e0) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19653) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19654)  op(e1, e0) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19514), (19654), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19655)  all_56_3 = e2 & op(e2, e2) = e2
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19655) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19656)  op(e2, e2) = e2
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (19656), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19657)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (19378), (19543), (19657),
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1414.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19658)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19658) gives:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19659)  all_56_8 = e1 & op(e1, e1) = e1
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19659) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19660)  op(e1, e1) = e1
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19247), (19660), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19661)  all_56_14 = e1 & op(e0, e1) = e1
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19537), (19661) are inconsistent by
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1127.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19662)  all_56_11 = e0 & op(e1, e0) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19662) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19663)  op(e1, e0) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19514), (19663), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (19664)  all_56_13 = e2 & op(e0, e2) = e2
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19664) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (19665)  op(e0, e2) = e2
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (19376), (19665), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | |   (19666)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19666) gives:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | |   (19667)  all_56_4 = e0 & op(e3, e1) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19667) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | |   (19668)  all_56_4 = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19488), (19668) are inconsistent by
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1823.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | |   (19669)  all_56_9 = e0 & op(e3, e0) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19669) implies:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | |   (19670)  op(e3, e0) = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19255), (19670), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | |   (19671)  all_56_9 = e2 & op(e3, e0) = e2
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19254), (19671) are inconsistent by
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | |            sub-proof #968.
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | |   (19672)  all_54_0 = e0
% 192.05/30.59  | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (18040), (19672) are inconsistent by
% 192.05/30.59  | | | | | | | | | | | | | | | | |            sub-proof #1181.
% 192.05/30.59  | | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | |   (19673)  all_56_10 = e3 & op(e2, e0) = e3
% 192.05/30.59  | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | | REF_CLOSE: (164), (18034), (19673), (function-axioms) are
% 192.05/30.59  | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 192.05/30.59  | | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | |   (19674)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 192.05/30.59  | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.59  | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | | REF_CLOSE: (51), (160), (18046), (19246), (19674),
% 192.05/30.59  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.59  | | | | | | | | | | | | |            #1249.
% 192.05/30.59  | | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | End of split
% 192.05/30.59  | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | Case 2:
% 192.05/30.59  | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | |   (19675)  all_56_13 = e3 & op(e0, e2) = e3
% 192.05/30.59  | | | | | | | | | | | | 
% 192.05/30.59  | | | | | | | | | | | | ALPHA: (19675) implies:
% 192.05/30.60  | | | | | | | | | | | |   (19676)  op(e0, e2) = e3
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | REF_CLOSE: (158), (18032), (19676), (function-axioms) are
% 192.05/30.60  | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | |   (19677)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.05/30.60  | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.60  | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | BETA: splitting (19677) gives:
% 192.05/30.60  | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | |   (19678)  all_56_14 = e3 & op(e0, e1) = e3
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | REF_CLOSE: (157), (19245), (19678), (function-axioms) are
% 192.05/30.60  | | | | | | | | | | | |            inconsistent by sub-proof #154.
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | |   (19679)  all_56_15 = e3 & op(e0, e0) = e3
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | ALPHA: (19679) implies:
% 192.05/30.60  | | | | | | | | | | | |   (19680)  op(e0, e0) = e3
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | REF_CLOSE: (51), (18046), (19680), (function-axioms) are
% 192.05/30.60  | | | | | | | | | | | |            inconsistent by sub-proof #1977.
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | 
% 192.05/30.60  | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | 
% 192.05/30.60  | | | | | | | | |   (19681)  all_18_2 = e3
% 192.05/30.60  | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | COMBINE_EQS: (301), (19681) imply:
% 192.05/30.60  | | | | | | | | |   (19682)  all_14_2 = e3
% 192.05/30.60  | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | SIMP: (19682) implies:
% 192.05/30.60  | | | | | | | | |   (19683)  all_14_2 = e3
% 192.05/30.60  | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | REDUCE: (351), (19683) imply:
% 192.05/30.60  | | | | | | | | |   (19684)   ~ (all_52_3 = e3)
% 192.05/30.60  | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | REDUCE: (369), (19683) imply:
% 192.05/30.60  | | | | | | | | |   (19685)   ~ (all_52_11 = e3)
% 192.05/30.60  | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | REDUCE: (372), (19683) imply:
% 192.05/30.60  | | | | | | | | |   (19686)   ~ (all_52_14 = e3)
% 192.05/30.60  | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | REDUCE: (51), (19683) imply:
% 192.05/30.60  | | | | | | | | |   (19687)  op(e0, e0) = e3
% 192.05/30.60  | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | BETA: splitting (61) gives:
% 192.05/30.60  | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | |   (19688)   ~ (all_20_2 = e3)
% 192.05/30.60  | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | REDUCE: (325), (19688) imply:
% 192.05/30.60  | | | | | | | | | |   (19689)   ~ (all_10_2 = e3)
% 192.05/30.60  | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | BETA: splitting (220) gives:
% 192.05/30.60  | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | |   (19690)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 192.05/30.60  | | | | | | | | | | |              & op(e2, e1) = e3)
% 192.05/30.60  | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | BETA: splitting (19690) gives:
% 192.05/30.60  | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | |   (19691)  all_56_4 = e3 & op(e3, e1) = e3
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | ALPHA: (19691) implies:
% 192.05/30.60  | | | | | | | | | | | |   (19692)  op(e3, e1) = e3
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | BETA: splitting (216) gives:
% 192.05/30.60  | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | |   (19693)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 192.05/30.60  | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 192.05/30.60  | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | BETA: splitting (19693) gives:
% 192.05/30.60  | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | |   (19694)  all_56_6 = e3 & op(e1, e3) = e3
% 192.05/30.60  | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | ALPHA: (19694) implies:
% 192.05/30.60  | | | | | | | | | | | | | |   (19695)  op(e1, e3) = e3
% 192.05/30.60  | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 192.05/30.60  | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (19695) gives:
% 192.05/30.60  | | | | | | | | | | | | | |   (19696)  all_52_2 = e3
% 192.05/30.60  | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 192.05/30.60  | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (19692) gives:
% 192.05/30.60  | | | | | | | | | | | | | |   (19697)  all_52_8 = e3
% 192.05/30.60  | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | REDUCE: (141), (19696) imply:
% 192.05/30.60  | | | | | | | | | | | | | |   (19698)   ~ (all_52_14 = e3)
% 192.05/30.60  | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | REDUCE: (346), (19697) imply:
% 192.05/30.60  | | | | | | | | | | | | | |   (19699)   ~ (all_6_2 = e3)
% 192.05/30.60  | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | SIMP: (19699) implies:
% 192.05/30.60  | | | | | | | | | | | | | |   (19700)   ~ (all_6_2 = e3)
% 192.05/30.60  | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 192.05/30.60  | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | |   (19701)  all_54_0 = e3
% 192.05/30.60  | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | COMBINE_EQS: (279), (19701) imply:
% 192.05/30.60  | | | | | | | | | | | | | | |   (19702)  all_6_2 = e3
% 192.05/30.60  | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | REDUCE: (19700), (19702) imply:
% 192.05/30.60  | | | | | | | | | | | | | | |   (19703)  $false
% 192.05/30.60  | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | CLOSE: (19703) is inconsistent.
% 192.05/30.60  | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | |   (19704)   ~ (all_54_0 = e3)
% 192.05/30.60  | | | | | | | | | | | | | | |   (19705)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 192.05/30.60  | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | BETA: splitting (19705) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | |   (19706)  all_54_0 = e2
% 192.05/30.60  | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (19706) imply:
% 192.05/30.60  | | | | | | | | | | | | | | | |   (19707)  all_6_2 = e2
% 192.05/30.60  | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | REDUCE: (18043), (19707) imply:
% 192.05/30.60  | | | | | | | | | | | | | | | |   (19708)  $false
% 192.05/30.60  | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | CLOSE: (19708) is inconsistent.
% 192.05/30.60  | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | |   (19709)   ~ (all_54_0 = e2)
% 192.05/30.60  | | | | | | | | | | | | | | | |   (19710)  all_54_0 = e1 | all_54_0 = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | |   (19711)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.60  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.60  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.60  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.05/30.60  | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.05/30.60  | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.05/30.60  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.05/30.60  | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.60  | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | BETA: splitting (19711) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | |   (19712)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.60  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.60  | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | BETA: splitting (19712) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |   (19713)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (19713), (function-axioms) are
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |   (19714)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19695), (19714), (function-axioms) are
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #141.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | |   (19715)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.60  | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | BETA: splitting (19715) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |   (19716)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (19716), (function-axioms) are
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |   (19717)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (19717) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19718)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (19718) implies:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19719)  op(e3, e3) = e2
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (279), (18040), (18043), (19710), (19719),
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            #140.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19720)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18039), (19687), (19720),
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            #139.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | |   (19721)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.60  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.05/30.60  | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.05/30.60  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.05/30.60  | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.05/30.60  | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.60  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.60  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.60  | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | BETA: splitting (19721) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | |   (19722)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | BETA: splitting (19722) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |   (19723)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19687), (19692), (19723), (function-axioms)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #464.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |   (19724)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (120), (168), (169), (19687), (19692),
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |            (19724), (function-axioms) are inconsistent by
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |            sub-proof #655.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | |   (19725)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.60  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | BETA: splitting (19725) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |   (19726)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (19726) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19727)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (19727) implies:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19728)  op(e3, e3) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (279), (18040), (19710), (19728),
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            #138.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19729)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (19729) implies:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19730)  op(e3, e3) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (279), (18040), (19710), (19730),
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            #138.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |   (19731)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (19731) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19732)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (19732) implies:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19733)   ~ (all_57_13 = e1)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19734)  op(e1, e0) = all_57_13
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19735)  op(e1, e1) = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | |   (19736)  op(e2, e0) = e2
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19710) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | |   (19737)  all_54_0 = e1
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (19737) imply:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | |   (19738)  all_6_2 = e1
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (19738) imply:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | |   (19739)  all_42_2 = e1
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |   (19740)   ~ (all_42_2 = e1)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19739), (19740) imply:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |   (19741)  $false
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19741) is inconsistent.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |              all_57_13, e0, e1, simplifying with (160), (19734)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |   (19742)  all_57_13 = all_52_14
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e0,
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |              e1, e1, simplifying with (45), (19735) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |   (19743)  all_10_2 = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (19736) gives:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |   (19744)  all_52_13 = e2
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19733), (19742) imply:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |   (19745)   ~ (all_52_14 = e1)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (19744) imply:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |   (19746)   ~ (all_52_14 = e2)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | SIMP: (19746) implies:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |   (19747)   ~ (all_52_14 = e2)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (19743) imply:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |   (19748)   ~ (all_52_14 = e0)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (193), (250), (19686), (19745), (19747), (19748)
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #749.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | |   (19749)  all_54_0 = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (19749) imply:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | |   (19750)  all_6_2 = e0
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18040), (19750) imply:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | |   (19751)  $false
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | CLOSE: (19751) is inconsistent.
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.60  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |   (19752)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19752) gives:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |   (19753)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19753) implies:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |   (19754)  op(e2, e2) = e0
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (19754), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |   (19755)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19755) implies:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |   (19756)  op(e0, e0) = all_57_15
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |   (19757)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19710) gives:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | |   (19758)  all_54_0 = e1
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (19758) imply:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | |   (19759)  all_6_2 = e1
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (19759) imply:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | |   (19760)  all_26_2 = e1
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19700), (19759) imply:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | |   (19761)   ~ (e3 = e1)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18043), (19759) imply:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | |   (19762)   ~ (e2 = e1)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (19759) imply:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | |   (19763)  op(e3, e3) = e1
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | |   (19764)   ~ (all_26_2 = e1)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19760), (19764) imply:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | |   (19765)  $false
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19765) is inconsistent.
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | |   (19766)  ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_26_1 & $i(all_26_0) &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3, e1)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | |              = all_26_1 & $i(all_26_1))
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19766) gives:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |   (19767)   ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_26_1 & $i(all_26_0) &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_1)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19767) implies:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |   (19768)  op(e3, e1) = all_26_1
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (45), (18039), (18041), (19687),
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            (19692), (19756), (19757), (19763), (19768),
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            #135.
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |   (19769)   ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 &
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_1)
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19769) implies:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |   (19770)  op(e3, e1) = all_26_1
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (45), (18039), (18041), (19687),
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            (19692), (19756), (19757), (19763), (19770),
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            #135.
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | |   (19771)  all_54_0 = e0
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (19771) imply:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | |   (19772)  all_6_2 = e0
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18040), (19772) imply:
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | |   (19773)  $false
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19773) is inconsistent.
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | |   (19774)  all_56_7 = e3 & op(e1, e2) = e3
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | ALPHA: (19774) implies:
% 192.05/30.61  | | | | | | | | | | | | | |   (19775)  op(e1, e2) = e3
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | REF_CLOSE: (162), (18031), (19775), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | |   (19776)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 192.05/30.61  | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | BETA: splitting (19776) gives:
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | |   (19777)  all_56_8 = e3 & op(e1, e1) = e3
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | REF_CLOSE: (45), (19689), (19777), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | |   (19778)  all_56_11 = e3 & op(e1, e0) = e3
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | REF_CLOSE: (160), (19686), (19778), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | | | |            inconsistent by sub-proof #1407.
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | |   (19779)  all_56_5 = e3 & op(e2, e1) = e3
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | ALPHA: (19779) implies:
% 192.05/30.61  | | | | | | | | | | | |   (19780)  op(e2, e1) = e3
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | REF_CLOSE: (165), (18033), (19780), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | |   (19781)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 192.05/30.61  | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 192.05/30.61  | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | BETA: splitting (19781) gives:
% 192.05/30.61  | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | |   (19782)  all_56_8 = e3 & op(e1, e1) = e3
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | REF_CLOSE: (45), (19689), (19782), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | |   (19783)  all_56_14 = e3 & op(e0, e1) = e3
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | REF_CLOSE: (157), (19685), (19783), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | |            inconsistent by sub-proof #154.
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | |   (19784)  all_20_2 = e3
% 192.05/30.61  | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | COMBINE_EQS: (325), (19784) imply:
% 192.05/30.61  | | | | | | | | | |   (19785)  all_10_2 = e3
% 192.05/30.61  | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | SIMP: (19785) implies:
% 192.05/30.61  | | | | | | | | | |   (19786)  all_10_2 = e3
% 192.05/30.61  | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | REDUCE: (350), (19786) imply:
% 192.05/30.61  | | | | | | | | | |   (19787)   ~ (all_52_2 = e3)
% 192.05/30.61  | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | REDUCE: (45), (19786) imply:
% 192.05/30.61  | | | | | | | | | |   (19788)  op(e1, e1) = e3
% 192.05/30.61  | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | BETA: splitting (235) gives:
% 192.05/30.61  | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | |   (19789)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 192.05/30.61  | | | | | | | | | | |              & op(e2, e3) = e3)
% 192.05/30.61  | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | BETA: splitting (19789) gives:
% 192.05/30.61  | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | |   (19790)  all_56_0 = e3 & op(e3, e3) = e3
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | ALPHA: (19790) implies:
% 192.05/30.61  | | | | | | | | | | | |   (19791)  op(e3, e3) = e3
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e3,
% 192.05/30.61  | | | | | | | | | | | |              e3, e3, simplifying with (39), (19791) gives:
% 192.05/30.61  | | | | | | | | | | | |   (19792)  all_6_2 = e3
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | REDUCE: (348), (19792) imply:
% 192.05/30.61  | | | | | | | | | | | |   (19793)   ~ (all_52_12 = e3)
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.05/30.61  | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | |   (19794)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.61  | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.61  | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.61  | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.61  | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.61  | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.61  | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.61  | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.61  | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.61  | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.61  | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.05/30.61  | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.05/30.61  | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.05/30.61  | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.05/30.61  | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.61  | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.05/30.61  | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.05/30.61  | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.05/30.61  | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.05/30.61  | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.05/30.61  | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.61  | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.05/30.61  | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.05/30.61  | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.05/30.61  | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.05/30.61  | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.05/30.61  | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.61  | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.61  | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | BETA: splitting (19794) gives:
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | |   (19795)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.61  | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.61  | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.61  | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.61  | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.61  | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.61  | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.61  | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | BETA: splitting (19795) gives:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | |   (19796)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.61  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.61  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.61  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | REF_CLOSE: (18039), (19796), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | |   (19797)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.61  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.61  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | REF_CLOSE: (19788), (19797), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | | | | |            inconsistent by sub-proof #133.
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | |   (19798)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.61  | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.61  | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.61  | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.05/30.61  | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.61  | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.61  | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.05/30.61  | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.05/30.61  | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.61  | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.61  | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.61  | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | BETA: splitting (19798) gives:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | |   (19799)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.61  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.61  | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (19799), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | |   (19800)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.61  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.61  | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.05/30.61  | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.61  | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | BETA: splitting (19800) gives:
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | |   (19801)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.61  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.61  | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 192.05/30.61  | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | ALPHA: (19801) implies:
% 192.05/30.61  | | | | | | | | | | | | | | | |   (19802)  op(e3, e3) = e2
% 192.05/30.61  | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19791), (19802), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 192.05/30.61  | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | |   (19803)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.61  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.61  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.61  | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.61  | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.61  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.61  | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.61  | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.61  | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18039), (19687), (19803),
% 192.05/30.61  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.61  | | | | | | | | | | | | | | | |            #139.
% 192.05/30.61  | | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | |   (19804)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.61  | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.61  | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.61  | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.61  | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.61  | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.61  | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.61  | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.61  | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.61  | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.61  | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.61  | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.61  | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.61  | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.61  | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.61  | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.61  | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.05/30.61  | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.05/30.61  | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.05/30.61  | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.05/30.61  | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.05/30.61  | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.05/30.61  | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.05/30.61  | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.05/30.61  | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.61  | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.61  | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.61  | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.61  | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.61  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.61  | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.61  | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.61  | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.61  | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.61  | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.61  | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.61  | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.61  | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.61  | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.61  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.61  | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.61  | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.61  | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.61  | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.61  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.61  | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.61  | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.61  | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | BETA: splitting (19804) gives:
% 192.05/30.61  | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | |   (19805)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.61  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.61  | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.61  | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.61  | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.61  | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.61  | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.61  | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.61  | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.61  | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.61  | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | BETA: splitting (19805) gives:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | |   (19806)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.61  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.61  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.61  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | REF_CLOSE: (8), (19687), (19791), (19806), (function-axioms)
% 192.05/30.61  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1045.
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | |   (19807)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.61  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.05/30.61  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.05/30.61  | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.05/30.61  | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (19687), (19793), (19807),
% 192.05/30.61  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.61  | | | | | | | | | | | | | | |            #1189.
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | End of split
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | |   (19808)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.61  | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.61  | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.61  | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.61  | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.61  | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.05/30.61  | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.05/30.61  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.61  | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.05/30.61  | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.05/30.61  | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.05/30.61  | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.05/30.61  | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.05/30.61  | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.61  | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.05/30.61  | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.61  | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.05/30.61  | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.05/30.61  | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.61  | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.61  | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.61  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.61  | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.61  | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.61  | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.61  | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.61  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.61  | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.61  | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.61  | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | BETA: splitting (19808) gives:
% 192.05/30.61  | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | |   (19809)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.61  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.61  | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.61  | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.61  | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.61  | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | REF_CLOSE: (7), (19791), (19809), (function-axioms) are
% 192.05/30.61  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | Case 2:
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | |   (19810)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.61  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.61  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.61  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.61  | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.61  | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.61  | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.61  | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.61  | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.61  | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.61  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.61  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.61  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.61  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.61  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.61  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.61  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.61  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.61  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.61  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.61  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.61  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.61  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | BETA: splitting (19810) gives:
% 192.05/30.61  | | | | | | | | | | | | | | | 
% 192.05/30.61  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.61  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | |   (19811)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.62  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.62  | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.62  | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | ALPHA: (19811) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | |   (19812)  op(e1, e1) = e0
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19788), (19812), (function-axioms) are
% 192.05/30.62  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | |   (19813)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.62  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.05/30.62  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.05/30.62  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.05/30.62  | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.05/30.62  | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.05/30.62  | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.05/30.62  | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.05/30.62  | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.05/30.62  | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.05/30.62  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.05/30.62  | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.05/30.62  | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.05/30.62  | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.62  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.05/30.62  | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.62  | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.05/30.62  | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.05/30.62  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.05/30.62  | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.05/30.62  | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.05/30.62  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.05/30.62  | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.05/30.62  | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.05/30.62  | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | BETA: splitting (19813) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | |   (19814)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.62  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | ALPHA: (19814) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | |   (19815)  op(e2, e2) = e0
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (19815), (function-axioms) are
% 192.05/30.62  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | |   (19816)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.62  | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.62  | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.62  | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.62  | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.05/30.62  | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.62  | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.05/30.62  | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.05/30.62  | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.05/30.62  | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.05/30.62  | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.05/30.62  | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.05/30.62  | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.05/30.62  | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | ALPHA: (19816) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | |   (19817)  op(e0, e0) = all_57_15
% 192.05/30.62  | | | | | | | | | | | | | | | | |   (19818)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.62  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.62  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.62  | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.62  | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.62  | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.62  | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.62  | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.62  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.62  | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.62  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.62  | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.62  | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 192.05/30.62  | | | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (19687),
% 192.05/30.62  | | | | | | | | | | | | | | | | |              (19817) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | |   (19819)  all_57_15 = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | BETA: splitting (19818) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19820)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.62  | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | BETA: splitting (19820) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |   (19821)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | ALPHA: (19821) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |   (19822)   ~ (all_57_15 = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19687), (19817), (19822), (function-axioms) are
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1276.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |   (19823)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | BETA: splitting (19823) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |   (19824)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | ALPHA: (19824) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |   (19825)   ~ (all_57_15 = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19687), (19817), (19825), (function-axioms) are
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1276.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |   (19826)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | ALPHA: (19826) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |   (19827)  op(e3, e3) = e2
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19791), (19827), (function-axioms) are
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19828)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.62  | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | BETA: splitting (19828) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |   (19829)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | ALPHA: (19829) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |   (19830)  op(e1, e1) = e2
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19788), (19830), (function-axioms) are
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |   (19831)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (19791), (19831), (function-axioms)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #209.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | |   (19832)  all_56_2 = e3 & op(e2, e3) = e3
% 192.05/30.62  | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | REF_CLOSE: (167), (18029), (19832), (function-axioms) are
% 192.05/30.62  | | | | | | | | | | | |            inconsistent by sub-proof #223.
% 192.05/30.62  | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | |   (19833)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 192.05/30.62  | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 192.05/30.62  | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | REF_CLOSE: (159), (163), (19684), (19787), (19833),
% 192.05/30.62  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.62  | | | | | | | | | | |            #228.
% 192.05/30.62  | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | 
% 192.05/30.62  | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | |   (19834)  all_14_2 = e1
% 192.05/30.62  | | | | | | | |   (19835)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 192.05/30.62  | | | | | | | |              op(e0, e1) = all_14_1 & $i(all_14_0) &
% 192.05/30.62  | | | | | | | |              $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e0, e1) =
% 192.05/30.62  | | | | | | | |              all_14_1 & $i(all_14_1))
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | | COMBINE_EQS: (327), (19834) imply:
% 192.05/30.62  | | | | | | | |   (19836)  all_16_2 = e1
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | | REDUCE: (362), (19834) imply:
% 192.05/30.62  | | | | | | | |   (19837)   ~ (all_52_7 = e1)
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | | REDUCE: (369), (19834) imply:
% 192.05/30.62  | | | | | | | |   (19838)   ~ (all_52_11 = e1)
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | | REDUCE: (370), (19834) imply:
% 192.05/30.62  | | | | | | | |   (19839)   ~ (all_52_12 = e1)
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | | REDUCE: (371), (19834) imply:
% 192.05/30.62  | | | | | | | |   (19840)   ~ (all_52_13 = e1)
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | | REDUCE: (372), (19834) imply:
% 192.05/30.62  | | | | | | | |   (19841)   ~ (all_52_14 = e1)
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | | REDUCE: (51), (19834) imply:
% 192.05/30.62  | | | | | | | |   (19842)  op(e0, e0) = e1
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | | BETA: splitting (55) gives:
% 192.05/30.62  | | | | | | | | 
% 192.05/30.62  | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | 
% 192.05/30.62  | | | | | | | | |   (19843)   ~ (all_16_2 = e1)
% 192.05/30.62  | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | REDUCE: (19836), (19843) imply:
% 192.05/30.62  | | | | | | | | |   (19844)  $false
% 192.05/30.62  | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | CLOSE: (19844) is inconsistent.
% 192.05/30.62  | | | | | | | | | 
% 192.05/30.62  | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | 
% 192.05/30.62  | | | | | | | | |   (19845)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 192.05/30.62  | | | | | | | | |              op(e0, e1) = all_16_1 & $i(all_16_0) &
% 192.05/30.62  | | | | | | | | |              $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0, e1)
% 192.05/30.62  | | | | | | | | |              = all_16_1 & $i(all_16_1))
% 192.05/30.62  | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | BETA: splitting (61) gives:
% 192.05/30.62  | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | |   (19846)   ~ (all_20_2 = e3)
% 192.05/30.62  | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | REDUCE: (325), (19846) imply:
% 192.05/30.62  | | | | | | | | | |   (19847)   ~ (all_10_2 = e3)
% 192.05/30.62  | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | BETA: splitting (64) gives:
% 192.05/30.62  | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | |   (19848)   ~ (all_22_2 = e0)
% 192.05/30.62  | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | REDUCE: (251), (19848) imply:
% 192.05/30.62  | | | | | | | | | | |   (19849)   ~ (all_10_2 = e0)
% 192.05/30.62  | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | BETA: splitting (194) gives:
% 192.05/30.62  | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | |   (19850)  all_54_10 = e3
% 192.05/30.62  | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | REF_CLOSE: (336), (19847), (19850) are inconsistent by
% 192.05/30.62  | | | | | | | | | | | |            sub-proof #983.
% 192.05/30.62  | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | |   (19851)   ~ (all_54_10 = e3)
% 192.05/30.62  | | | | | | | | | | | |   (19852)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 192.05/30.62  | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | BETA: splitting (19852) gives:
% 192.05/30.62  | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | |   (19853)  all_54_10 = e2
% 192.05/30.62  | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | REF_CLOSE: (336), (18041), (19853) are inconsistent by
% 192.05/30.62  | | | | | | | | | | | | |            sub-proof #982.
% 192.05/30.62  | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | |   (19854)   ~ (all_54_10 = e2)
% 192.05/30.62  | | | | | | | | | | | | |   (19855)  all_54_10 = e1 | all_54_10 = e0
% 192.05/30.62  | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | BETA: splitting (19855) gives:
% 192.05/30.62  | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | |   (19856)  all_54_10 = e1
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | COMBINE_EQS: (336), (19856) imply:
% 192.05/30.62  | | | | | | | | | | | | | |   (19857)  all_10_2 = e1
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | SIMP: (19857) implies:
% 192.05/30.62  | | | | | | | | | | | | | |   (19858)  all_10_2 = e1
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | REDUCE: (361), (19858) imply:
% 192.05/30.62  | | | | | | | | | | | | | |   (19859)   ~ (all_52_6 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | REDUCE: (364), (19858) imply:
% 192.05/30.62  | | | | | | | | | | | | | |   (19860)   ~ (all_52_9 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | REDUCE: (19847), (19858) imply:
% 192.05/30.62  | | | | | | | | | | | | | |   (19861)   ~ (e3 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | REDUCE: (18041), (19858) imply:
% 192.05/30.62  | | | | | | | | | | | | | |   (19862)   ~ (e2 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | REDUCE: (45), (19858) imply:
% 192.05/30.62  | | | | | | | | | | | | | |   (19863)  op(e1, e1) = e1
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 192.05/30.62  | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | |   (19864)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 192.05/30.62  | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | BETA: splitting (19864) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | |   (19865)  all_56_2 = e1 & op(e2, e3) = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | ALPHA: (19865) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | |   (19866)  all_56_2 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | |   (19867)  op(e2, e3) = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | |   (19868)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | BETA: splitting (19868) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19869)  all_56_1 = e1 & op(e3, e2) = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | ALPHA: (19869) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19870)  all_56_1 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19871)  op(e3, e2) = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (19867) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19872)  all_52_1 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 192.05/30.62  | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (19871) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19873)  all_52_4 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | REDUCE: (149), (19872) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19874)   ~ (all_52_2 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | SIMP: (19874) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19875)   ~ (all_52_2 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | REDUCE: (148), (19872) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19876)   ~ (all_52_3 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | SIMP: (19876) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19877)   ~ (all_52_3 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | REDUCE: (146), (19872) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19878)   ~ (all_52_9 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | REDUCE: (136), (19873) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19879)   ~ (all_52_6 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | REDUCE: (135), (19873) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19880)   ~ (all_52_7 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | REDUCE: (133), (19873) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19881)   ~ (all_52_12 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | REDUCE: (344), (19873) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19882)   ~ (all_6_2 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | SIMP: (19882) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | |   (19883)   ~ (all_6_2 = e1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |   (19884)  all_54_0 = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (19884) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |   (19885)  all_6_2 = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | REDUCE: (342), (19885) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |   (19886)   ~ (all_52_3 = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | REDUCE: (39), (19885) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | |   (19887)  op(e3, e3) = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |   (19888)   ~ (all_40_2 = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | REDUCE: (18028), (19888) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |   (19889)  $false
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | CLOSE: (19889) is inconsistent.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |   (19890)  ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = all_40_1 & $i(all_40_0) &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |              $i(all_40_1)) | ( ~ (all_40_1 = e0) & op(e2, e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | |              = all_40_1 & $i(all_40_1))
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | |   (19891)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19891) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | |   (19892)  all_56_9 = e3 & op(e3, e0) = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (19870),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | |            (19887), (19892), (function-axioms) are
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #966.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | |   (19893)  all_56_10 = e3 & op(e2, e0) = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18034), (19893), (function-axioms) are
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | |   (19894)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19894) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | |   (19895)  all_56_11 = e3 & op(e1, e0) = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19895) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | |   (19896)  all_56_11 = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | |   (19897)  op(e1, e0) = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19890) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | |   (19898)   ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_40_1 & $i(all_40_0) &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_40_1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19898) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | |   (19899)  op(e2, e3) = all_40_1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18027) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | |   (19900)   ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19900) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | |   (19901)   ~ (all_4_0 = e0)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | |   (19902)  op(e2, e3) = all_4_1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | |   (19903)  op(all_4_1, e2) = all_4_0
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (19904)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (18032), (19886), (19904),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            #322.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (19905)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19905) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19906)  all_56_14 = e3 & op(e0, e1) = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19906) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19907)  all_56_14 = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19908)  op(e0, e1) = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, e0, simplifying with (157), (19908) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19909)  all_52_11 = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e1, simplifying with (160), (19897) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19910)  all_52_14 = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_40_1,
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (19867), (19899) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19911)  all_40_1 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_40_1, e3, e2, simplifying with (19899),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              (19902) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19912)  all_40_1 = all_4_1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19911), (19912) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19913)  all_4_1 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19913) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19914)  all_4_1 = e1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (19910) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19915)   ~ (all_52_2 = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (19909) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19916)   ~ (all_52_8 = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (19910) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19917)   ~ (all_52_12 = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19903), (19914) imply:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19918)  op(e1, e2) = all_4_0
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19845) gives:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19919)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = all_16_1 & $i(all_16_0) &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19919) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19920)   ~ (all_16_0 = e3)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19921)  op(e0, e1) = all_16_1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19922)  op(all_16_1, e0) = all_16_0
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (113), (117),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (141), (143), (144), (146), (157), (158),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (192), (195), (196), (201),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (212), (213), (214), (215), (216), (217),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (221), (223), (225), (227),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (233), (234), (235), (238),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (249), (258), (259), (270), (336), (18030),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18031), (18033), (18038), (18039), (18041),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19835), (19837), (19838), (19839), (19841),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19849), (19855), (19859), (19860), (19863),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19866), (19870), (19875), (19877), (19886),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19887), (19896), (19901), (19907), (19908),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19915), (19916), (19917), (19918), (19920),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19921), (19922), (function-axioms) are
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #116.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19923)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19923) implies:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19924)   ~ (all_16_1 = e2)
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19925)  op(e0, e1) = all_16_1
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (45), (113), (117),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (141), (143), (144), (146), (157), (158),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (192), (195), (196), (201),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (212), (213), (214), (215), (216), (217),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (221), (223), (225), (227),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (233), (234), (235), (238),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (249), (258), (259), (270), (336), (18030),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18031), (18033), (18038), (18039), (18041),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19835), (19837), (19838), (19839), (19841),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19849), (19855), (19859), (19860), (19863),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19866), (19870), (19875), (19877), (19886),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19887), (19896), (19901), (19907), (19908),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19915), (19916), (19917), (19918), (19924),
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19925), (function-axioms) are inconsistent by
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #114.
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19926)  all_56_15 = e3 & op(e0, e0) = e3
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19926) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19927)  op(e0, e0) = e3
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19842), (19927), (function-axioms) are
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |   (19928)   ~ (all_4_1 = e1) & op(e2, e3) = all_4_1 &
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_4_1)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19867), (19928), (function-axioms) are
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #113.
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | |   (19929)   ~ (all_40_1 = e0) & op(e2, e3) = all_40_1 &
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_40_1)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19929) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | |   (19930)   ~ (all_40_1 = e0)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | |   (19931)  op(e2, e3) = all_40_1
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18027) gives:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |   (19932)   ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 &
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19932) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |   (19933)   ~ (all_4_0 = e0)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |   (19934)  op(e2, e3) = all_4_1
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |   (19935)  op(all_4_1, e2) = all_4_0
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (19936)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (18032), (19886), (19936),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |            #322.
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (19937)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19937) gives:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19938)  all_56_14 = e3 & op(e0, e1) = e3
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19938) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19939)  all_56_14 = e3
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19940)  op(e0, e1) = e3
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, e0, simplifying with (157), (19940) gives:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19941)  all_52_11 = e3
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e1, simplifying with (160), (19897) gives:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19942)  all_52_14 = e3
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_40_1,
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (19867), (19931) gives:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19943)  all_40_1 = e1
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_40_1, e3, e2, simplifying with (19931),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |              (19934) gives:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19944)  all_40_1 = all_4_1
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19943), (19944) imply:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19945)  all_4_1 = e1
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19945) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19946)  all_4_1 = e1
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (19942) imply:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19947)   ~ (all_52_2 = e3)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (19941) imply:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19948)   ~ (all_52_8 = e3)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (19942) imply:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19949)   ~ (all_52_12 = e3)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19935), (19946) imply:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19950)  op(e1, e2) = all_4_0
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19845) gives:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19951)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = all_16_1 & $i(all_16_0) &
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19951) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19952)   ~ (all_16_0 = e3)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19953)  op(e0, e1) = all_16_1
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19954)  op(all_16_1, e0) = all_16_0
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (113), (117),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (141), (143), (144), (146), (157), (158),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (192), (195), (196), (201),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (212), (213), (214), (215), (216), (217),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (221), (223), (225), (227),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (233), (234), (235), (238),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (249), (258), (259), (270), (336), (18030),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18031), (18033), (18038), (18039), (18041),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19835), (19837), (19838), (19839), (19841),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19849), (19855), (19859), (19860), (19863),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19866), (19870), (19875), (19877), (19886),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19887), (19896), (19933), (19939), (19940),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19947), (19948), (19949), (19950), (19952),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19953), (19954), (function-axioms) are
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #116.
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19955)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19955) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19956)   ~ (all_16_1 = e2)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19957)  op(e0, e1) = all_16_1
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (45), (113), (117),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (141), (143), (144), (146), (157), (158),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (192), (195), (196), (201),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (212), (213), (214), (215), (216), (217),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (221), (223), (225), (227),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (233), (234), (235), (238),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (249), (258), (259), (270), (336), (18030),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18031), (18033), (18038), (18039), (18041),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19835), (19837), (19838), (19839), (19841),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19849), (19855), (19859), (19860), (19863),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19866), (19870), (19875), (19877), (19886),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19887), (19896), (19933), (19939), (19940),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19947), (19948), (19949), (19950), (19956),
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19957), (function-axioms) are inconsistent by
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #114.
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19958)  all_56_15 = e3 & op(e0, e0) = e3
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19958) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19959)  op(e0, e0) = e3
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19842), (19959), (function-axioms) are
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |   (19960)   ~ (all_4_1 = e1) & op(e2, e3) = all_4_1 &
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_4_1)
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19867), (19960), (function-axioms) are
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #113.
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | |   (19961)  all_56_15 = e3 & op(e0, e0) = e3
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19961) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | |   (19962)  op(e0, e0) = e3
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19842), (19962), (function-axioms) are
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | |   (19963)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (18040), (18043), (19883), (19963) are
% 192.05/30.63  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 192.05/30.63  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | |   (19964)  all_56_3 = e1 & op(e2, e2) = e1
% 192.05/30.63  | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | ALPHA: (19964) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | | | |   (19965)  op(e2, e2) = e1
% 192.05/30.63  | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (19965), (function-axioms) are
% 192.05/30.63  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 192.05/30.63  | | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | |   (19966)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.05/30.63  | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.63  | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (19837), (19859), (19966),
% 192.05/30.63  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.63  | | | | | | | | | | | | | | | | |            #1101.
% 192.05/30.63  | | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | |   (19967)  all_56_3 = e1 & op(e2, e2) = e1
% 192.05/30.63  | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | ALPHA: (19967) implies:
% 192.05/30.63  | | | | | | | | | | | | | | | |   (19968)  op(e2, e2) = e1
% 192.05/30.63  | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (19968), (function-axioms) are
% 192.05/30.63  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 192.05/30.63  | | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | |   (19969)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 192.05/30.63  | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 192.05/30.63  | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (19840), (19860), (19969),
% 192.05/30.63  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.63  | | | | | | | | | | | | | | |            #939.
% 192.05/30.63  | | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | |   (19970)  all_54_10 = e0
% 192.05/30.63  | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | REF_CLOSE: (336), (19849), (19970) are inconsistent by
% 192.05/30.63  | | | | | | | | | | | | | |            sub-proof #932.
% 192.05/30.63  | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | End of split
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | |   (19971)  all_22_2 = e0
% 192.05/30.63  | | | | | | | | | | |   (19972)  ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 192.05/30.63  | | | | | | | | | | |              & op(e1, e0) = all_22_1 & $i(all_22_0) &
% 192.05/30.63  | | | | | | | | | | |              $i(all_22_1)) | ( ~ (all_22_1 = e3) & op(e1, e0)
% 192.05/30.63  | | | | | | | | | | |              = all_22_1 & $i(all_22_1))
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | COMBINE_EQS: (251), (19971) imply:
% 192.05/30.63  | | | | | | | | | | |   (19973)  all_10_2 = e0
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | SIMP: (19973) implies:
% 192.05/30.63  | | | | | | | | | | |   (19974)  all_10_2 = e0
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | REDUCE: (350), (19974) imply:
% 192.05/30.63  | | | | | | | | | | |   (19975)   ~ (all_52_2 = e0)
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | REDUCE: (363), (19974) imply:
% 192.05/30.63  | | | | | | | | | | |   (19976)   ~ (all_52_8 = e0)
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | REDUCE: (364), (19974) imply:
% 192.05/30.63  | | | | | | | | | | |   (19977)   ~ (all_52_9 = e0)
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | REDUCE: (366), (19974) imply:
% 192.05/30.63  | | | | | | | | | | |   (19978)   ~ (all_52_11 = e0)
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | REDUCE: (368), (19974) imply:
% 192.05/30.63  | | | | | | | | | | |   (19979)   ~ (all_52_14 = e0)
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | REDUCE: (19847), (19974) imply:
% 192.05/30.63  | | | | | | | | | | |   (19980)   ~ (e3 = e0)
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | REDUCE: (18041), (19974) imply:
% 192.05/30.63  | | | | | | | | | | |   (19981)   ~ (e2 = e0)
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | REDUCE: (45), (19974) imply:
% 192.05/30.63  | | | | | | | | | | |   (19982)  op(e1, e1) = e0
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | BETA: splitting (70) gives:
% 192.05/30.63  | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | Case 1:
% 192.05/30.63  | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | |   (19983)   ~ (all_26_2 = e1)
% 192.05/30.63  | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | REDUCE: (307), (19983) imply:
% 192.05/30.63  | | | | | | | | | | | |   (19984)   ~ (all_6_2 = e1)
% 192.05/30.63  | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | BETA: splitting (204) gives:
% 192.05/30.63  | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | Case 1:
% 192.05/30.63  | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | |   (19985)  all_54_0 = e3
% 192.05/30.63  | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | COMBINE_EQS: (279), (19985) imply:
% 192.05/30.63  | | | | | | | | | | | | |   (19986)  all_6_2 = e3
% 192.05/30.63  | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | REDUCE: (340), (19986) imply:
% 192.05/30.63  | | | | | | | | | | | | |   (19987)   ~ (all_52_2 = e3)
% 192.05/30.63  | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | REDUCE: (346), (19986) imply:
% 192.05/30.63  | | | | | | | | | | | | |   (19988)   ~ (all_52_8 = e3)
% 192.05/30.63  | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | REDUCE: (348), (19986) imply:
% 192.05/30.63  | | | | | | | | | | | | |   (19989)   ~ (all_52_12 = e3)
% 192.05/30.63  | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | BETA: splitting (220) gives:
% 192.05/30.63  | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | Case 1:
% 192.05/30.63  | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | |   (19990)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 192.05/30.63  | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 192.05/30.63  | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (18033), (19988), (19990),
% 192.05/30.63  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.63  | | | | | | | | | | | | | |            #1757.
% 192.05/30.63  | | | | | | | | | | | | | | 
% 192.05/30.63  | | | | | | | | | | | | | Case 2:
% 192.05/30.63  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | |   (19991)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 192.05/30.64  | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | BETA: splitting (19991) gives:
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | |   (19992)  all_56_8 = e3 & op(e1, e1) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | ALPHA: (19992) implies:
% 192.05/30.64  | | | | | | | | | | | | | | |   (19993)  op(e1, e1) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | REF_CLOSE: (7), (19982), (19993), (function-axioms) are
% 192.05/30.64  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | |   (19994)  all_56_14 = e3 & op(e0, e1) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | ALPHA: (19994) implies:
% 192.05/30.64  | | | | | | | | | | | | | | |   (19995)  op(e0, e1) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | |   (19996)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (18031), (19987), (19996),
% 192.05/30.64  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.64  | | | | | | | | | | | | | | | |            #222.
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | |   (19997)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 192.05/30.64  | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | BETA: splitting (19997) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | |   (19998)  all_56_8 = e3 & op(e1, e1) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | ALPHA: (19998) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | |   (19999)  op(e1, e1) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19982), (19999), (function-axioms) are
% 192.05/30.64  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | |   (20000)  all_56_11 = e3 & op(e1, e0) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | ALPHA: (20000) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | |   (20001)  all_56_11 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | |   (20002)  op(e1, e0) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | BETA: splitting (19845) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | |   (20003)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | |            op(e0, e1) = all_16_1 & $i(all_16_0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | ALPHA: (20003) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | |   (20004)  op(e0, e1) = all_16_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | BETA: splitting (19835) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20005)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            op(e0, e1) = all_14_1 & $i(all_14_0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            $i(all_14_1)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | ALPHA: (20005) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20006)   ~ (all_14_0 = e2)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20007)  op(e0, e1) = all_14_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20008)  op(all_14_1, e0) = all_14_0
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | BETA: splitting (19972) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20009)   ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_22_1 & $i(all_22_0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | ALPHA: (20009) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20010)   ~ (all_22_0 = e2)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20011)  op(e1, e0) = all_22_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20012)  op(all_22_1, e1) = all_22_0
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_16_1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              e1, e0, simplifying with (19995), (20004) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20013)  all_16_1 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              all_16_1, e1, e0, simplifying with (20004),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              (20007) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20014)  all_16_1 = all_14_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_22_1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (20002), (20011) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20015)  all_22_1 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20013), (20014) imply:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20016)  all_14_1 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (113), (117), (123), (160),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (164), (165), (168), (169), (198), (201), (202),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (206), (211), (261), (270), (271), (18033),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (19839), (19842), (19976), (19977), (19979),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (19988), (19989), (20001), (20006), (20008),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (20010), (20012), (20015), (20016),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            #111.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20017)   ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20002), (20017), (function-axioms) are
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #173.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20018)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            $i(all_14_1)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | ALPHA: (20018) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20019)   ~ (all_14_1 = e3)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20020)  op(e0, e1) = all_14_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19995), (20004), (20019), (20020),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            #117.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | |   (20021)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | ALPHA: (20021) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | |   (20022)   ~ (all_16_1 = e2)
% 192.05/30.64  | | | | | | | | | | | | | | | | | |   (20023)  op(e0, e1) = all_16_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | BETA: splitting (19835) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20024)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            op(e0, e1) = all_14_1 & $i(all_14_0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            $i(all_14_1)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | ALPHA: (20024) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20025)   ~ (all_14_0 = e2)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20026)  op(e0, e1) = all_14_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20027)  op(all_14_1, e0) = all_14_0
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | BETA: splitting (19972) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20028)   ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_22_1 & $i(all_22_0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | ALPHA: (20028) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20029)   ~ (all_22_0 = e2)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20030)  op(e1, e0) = all_22_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20031)  op(all_22_1, e1) = all_22_0
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_16_1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              e1, e0, simplifying with (19995), (20023) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20032)  all_16_1 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              all_16_1, e1, e0, simplifying with (20023),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              (20026) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20033)  all_16_1 = all_14_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_22_1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (20002), (20030) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20034)  all_22_1 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20032), (20033) imply:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20035)  all_14_1 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (113), (117), (123), (160),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (164), (165), (168), (169), (198), (201), (202),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (206), (211), (261), (270), (271), (18033),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (19839), (19842), (19976), (19977), (19979),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (19988), (19989), (20001), (20025), (20027),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (20029), (20031), (20034), (20035),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            #111.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20036)   ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | ALPHA: (20036) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20037)   ~ (all_22_1 = e3)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20038)  op(e1, e0) = all_22_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_22_1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (20002), (20038) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20039)  all_22_1 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | REDUCE: (20037), (20039) imply:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20040)  $false
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | CLOSE: (20040) is inconsistent.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20041)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            $i(all_14_1)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | ALPHA: (20041) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20042)   ~ (all_14_1 = e3)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20043)  op(e0, e1) = all_14_1
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19995), (20023), (20042), (20043),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            #117.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | |   (20044)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 192.05/30.64  | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | REF_CLOSE: (279), (18040), (18043), (19984), (20044) are
% 192.05/30.64  | | | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 192.05/30.64  | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | |   (20045)  all_26_2 = e1
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | COMBINE_EQS: (307), (20045) imply:
% 192.05/30.64  | | | | | | | | | | | |   (20046)  all_6_2 = e1
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | SIMP: (20046) implies:
% 192.05/30.64  | | | | | | | | | | | |   (20047)  all_6_2 = e1
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | REDUCE: (340), (20047) imply:
% 192.05/30.64  | | | | | | | | | | | |   (20048)   ~ (all_52_2 = e1)
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | REDUCE: (342), (20047) imply:
% 192.05/30.64  | | | | | | | | | | | |   (20049)   ~ (all_52_3 = e1)
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | REDUCE: (344), (20047) imply:
% 192.05/30.64  | | | | | | | | | | | |   (20050)   ~ (all_52_4 = e1)
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | REDUCE: (346), (20047) imply:
% 192.05/30.64  | | | | | | | | | | | |   (20051)   ~ (all_52_8 = e1)
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | REDUCE: (39), (20047) imply:
% 192.05/30.64  | | | | | | | | | | | |   (20052)  op(e3, e3) = e1
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | BETA: splitting (218) gives:
% 192.05/30.64  | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | |   (20053)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 192.05/30.64  | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 192.05/30.64  | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | BETA: splitting (20053) gives:
% 192.05/30.64  | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | |   (20054)  all_56_4 = e1 & op(e3, e1) = e1
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | ALPHA: (20054) implies:
% 192.05/30.64  | | | | | | | | | | | | | |   (20055)  op(e3, e1) = e1
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | REF_CLOSE: (169), (20051), (20055), (function-axioms) are
% 192.05/30.64  | | | | | | | | | | | | | |            inconsistent by sub-proof #1880.
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | |   (20056)  all_56_5 = e1 & op(e2, e1) = e1
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | ALPHA: (20056) implies:
% 192.05/30.64  | | | | | | | | | | | | | |   (20057)  op(e2, e1) = e1
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.05/30.64  | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | |   (20058)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.05/30.64  | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (18039), (20050), (20058),
% 192.05/30.64  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.64  | | | | | | | | | | | | | | |            #146.
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | |   (20059)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.05/30.64  | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | BETA: splitting (20059) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | |   (20060)  all_56_7 = e1 & op(e1, e2) = e1
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | ALPHA: (20060) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | |   (20061)  all_56_7 = e1
% 192.05/30.64  | | | | | | | | | | | | | | | |   (20062)  op(e1, e2) = e1
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | |   (20063)  all_54_13 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (18032), (20063) are inconsistent by
% 192.05/30.64  | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | |   (20064)   ~ (all_54_13 = e3)
% 192.05/30.64  | | | | | | | | | | | | | | | | |   (20065)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | |   (20066)  all_54_14 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (20066) imply:
% 192.05/30.64  | | | | | | | | | | | | | | | | | |   (20067)  all_52_11 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | REDUCE: (121), (20067) imply:
% 192.05/30.64  | | | | | | | | | | | | | | | | | |   (20068)   ~ (all_52_8 = e3)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20069)  all_54_2 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (20068), (20069) are inconsistent by
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |            sub-proof #1762.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20070)   ~ (all_54_2 = e3)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | |   (20071)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20072)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20072) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |   (20073)  all_56_0 = e3 & op(e3, e3) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20073) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |   (20074)  op(e3, e3) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20052), (20074), (function-axioms) are
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |   (20075)  all_56_1 = e3 & op(e3, e2) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20075) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |   (20076)  op(e3, e2) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (20076), (function-axioms) are
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |   (20077)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20077) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |   (20078)  all_56_4 = e3 & op(e3, e1) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20078) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |   (20079)  op(e3, e1) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (20068), (20079), (function-axioms) are
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |   (20080)  all_56_9 = e3 & op(e3, e0) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20080) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | |   (20081)  op(e3, e0) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |   (20082)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20082) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |   (20083)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20083) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |   (20084)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20084) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (20085)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20085) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (20086)  op(e3, e2) = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (20086), (function-axioms) are
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (20087)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20087) implies:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (20088)  op(e3, e2) = e2
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (170), (271), (19976), (20051), (20071),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (20088), (function-axioms) are inconsistent by
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #159.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |   (20089)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (163), (168), (169), (20048), (20081),
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |            (20089), (function-axioms) are inconsistent by
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1482.
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |   (20090)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20090) gives:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |   (20091)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.64  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (20052), (20081), (20091),
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            #506.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |   (20092)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (18039), (19982), (20092),
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            #110.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |   (20093)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20093) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |   (20094)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20094) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |   (20095)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20095) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (20096)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20096) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (20097)  op(e2, e2) = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (20097), (function-axioms) are
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (20098)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20098) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (20099)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19982), (20062), (20099), (function-axioms)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1513.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |   (20100)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (19838), (19979), (20100),
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            #1883.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |   (20101)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20101) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |   (20102)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (19982), (20052), (20062), (20102),
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            #1478.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |   (20103)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19842), (19982), (20103), (function-axioms)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #915.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | |   (20104)   ~ (all_54_14 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | |   (20105)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | REDUCE: (247), (20104) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | |   (20106)   ~ (all_52_11 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | BETA: splitting (20105) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | |   (20107)  all_54_14 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (20107) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | |   (20108)  all_52_11 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | REDUCE: (139), (20108) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | |   (20109)   ~ (all_52_3 = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | REDUCE: (125), (20108) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | |   (20110)   ~ (all_52_7 = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | REDUCE: (121), (20108) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | |   (20111)   ~ (all_52_8 = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | REDUCE: (20106), (20108) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | |   (20112)   ~ (e3 = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | |   (20113)  all_54_2 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (20113) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | |   (20114)  all_52_8 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (20114) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | |   (20115)   ~ (all_52_12 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | SIMP: (20115) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | |   (20116)   ~ (all_52_12 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | |   (20117)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (20057), (20111), (20117),
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | |            #109.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | |   (20118)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20118) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |   (20119)  all_56_8 = e2 & op(e1, e1) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20119) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |   (20120)  op(e1, e1) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19982), (20120), (function-axioms) are
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |   (20121)  all_56_14 = e2 & op(e0, e1) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20121) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | |   (20122)  all_56_14 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |   (20123)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20123) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |   (20124)  all_56_1 = e2 & op(e3, e2) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20124) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | |   (20125)  all_56_1 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (20126)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (18039), (20125), (20126),
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (20127)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20127) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20128)  all_56_7 = e0 & op(e1, e2) = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20128) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20129)  all_56_7 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (19841), (19982), (20129),
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1521.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20130)  all_56_13 = e0 & op(e0, e2) = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20130) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20131)  op(e0, e2) = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20065) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20132)  all_54_13 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (20132) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20133)  all_52_7 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20110), (20133) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20134)  $false
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (20134) is inconsistent.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20135)   ~ (all_54_13 = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20136)  all_54_13 = e1 | all_54_13 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20137)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20137) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20138)  all_56_4 = e3 & op(e3, e1) = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20138) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20139)  all_56_4 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20140)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20140) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20141)  all_56_12 = e3 & op(e0, e3) = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20141) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20142)  all_56_12 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20143)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20143) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20144)  all_56_0 = e0 & op(e3, e3) = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20144) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20145)  op(e3, e3) = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20052), (20145), (function-axioms) are
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20146)  all_56_2 = e0 & op(e2, e3) = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20146) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20147)  all_56_2 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20148)  op(e2, e3) = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20149)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (20052), (20147), (20149),
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1364.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20150)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20150) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20151)  all_56_6 = e2 & op(e1, e3) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20151) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20152)  all_56_6 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20153)  op(e1, e3) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20154)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20154) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20155)  all_56_2 = e2 & op(e2, e3) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20155) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20156)  all_56_2 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20147), (20156) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20157)  e2 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20157) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20158)  e2 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20152), (20158) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20159)  all_56_6 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (19982),
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20061), (20159), (function-axioms) are
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1579.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20160)  all_56_3 = e2 & op(e2, e2) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20160) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20161)  op(e2, e2) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (20161), (function-axioms) are
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20162)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20162) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20163)  all_56_5 = e2 & op(e2, e1) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20163) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20164)  op(e2, e1) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20057), (20164), (function-axioms) are
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20165)  all_56_10 = e2 & op(e2, e0) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20165) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20166)  op(e2, e0) = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20136) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20167)  all_54_13 = e1
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (19837), (20167) are inconsistent by
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1654.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20168)  all_54_13 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (20168) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20169)  all_52_7 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20169) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20170)  all_52_7 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (20170) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20171)   ~ (all_52_3 = e0)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (20170) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20172)   ~ (all_52_4 = e0)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19837), (20170) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20173)   ~ (e1 = e0)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20174)  all_54_12 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (20174) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20175)  all_52_3 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20175) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20176)  all_52_3 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (20176) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20177)   ~ (all_52_2 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20178)  all_54_8 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (20177), (20178) are inconsistent by
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20179)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20180)  all_54_1 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (18030), (20180) are inconsistent by
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1763.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20181)   ~ (all_54_1 = e3)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20182)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20182) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20183)  all_54_1 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (20183) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20184)  all_52_4 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20184) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20185)  all_52_4 = e2
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (20185) imply:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20186)   ~ (all_52_12 = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20186) implies:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20187)   ~ (all_52_12 = e2)
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20188)  all_54_3 = e3
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (20116), (20188) are inconsistent by
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20189)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20190)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20190) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20191)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20191) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20192)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20192) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20193)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20193) implies:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20194)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19842), (20131), (20194), (function-axioms)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #283.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20195)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20195) implies:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20196)  op(e2, e3) = e2
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (167), (259), (19975), (20048), (20179),
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20196), (function-axioms) are inconsistent by
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #169.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20197)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (20048), (20153), (20197),
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1370.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20198)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20198) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20199)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (159), (231), (235),
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20147), (20148), (20152), (20153), (20171),
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20199), (function-axioms) are inconsistent by
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #181.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20200)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20200) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20201)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20201) implies:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20202)  op(e2, e2) = e1
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (164), (165), (224), (18033), (18034),
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20147), (20202), (function-axioms) are
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #581.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20203)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20203) implies:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20204)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19842), (20131), (20204), (function-axioms)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #283.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20205)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20205) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20206)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20206) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20207)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20207) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20208)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20208) implies:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20209)  op(e0, e2) = e2
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (20110), (20209), (function-axioms) are
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20210)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20210) implies:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20211)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19982), (20062), (20211), (function-axioms)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1513.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20212)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20212) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20213)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20213) implies:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20214)  op(e0, e1) = e1
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (19838), (20214), (function-axioms) are
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1885.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20215)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (19839), (20187), (20189),
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20215), (function-axioms) are inconsistent by
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1129.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20216)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20216) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20217)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20217) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20218)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20218) implies:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20219)  op(e3, e3) = e3
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20220)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (229), (20142), (20152),
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20219), (20220), (function-axioms) are
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1599.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20221)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (20049), (20152), (20221),
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #906.
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20222)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20222) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20223)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19842), (20131), (20223), (function-axioms)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #283.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20224)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (18039), (19982), (20166), (20224),
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #108.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20225)  all_54_1 = e1 | all_54_1 = e0
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (20050), (20172), (20225) are inconsistent
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1898.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20226)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (20049), (20109), (20171), (20226) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #707.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20227)  all_56_12 = e2 & op(e0, e3) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (20109), (20227), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20228)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20228) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20229)  all_56_6 = e0 & op(e1, e3) = e0
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20229) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20230)  all_56_6 = e0
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (19982),
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20061), (20230), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1579.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20231)  all_56_12 = e0 & op(e0, e3) = e0
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20231) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20232)  op(e0, e3) = e0
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (158), (159), (20131), (20232),
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #157.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20233)  all_56_13 = e3 & op(e0, e2) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20233) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20234)  op(e0, e2) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18032), (20234), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20235)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20235) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20236)  all_56_14 = e3 & op(e0, e1) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20236) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20237)  all_56_14 = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20122), (20237) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20238)  e3 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20238) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20239)  e3 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20139), (20239) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20240)  all_56_4 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (19982),
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20122), (20240), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #663.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20241)  all_56_15 = e3 & op(e0, e0) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20241) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20242)  op(e0, e0) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19842), (20242), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20243)  all_56_5 = e3 & op(e2, e1) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20243) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20244)  op(e2, e1) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20057), (20244), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #480.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20245)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (19982), (20122), (20245),
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1494.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20246)  all_56_3 = e2 & op(e2, e2) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20246) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20247)  op(e2, e2) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (20247), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |   (20248)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20248) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20249)  all_56_7 = e2 & op(e1, e2) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20249) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20250)  op(e1, e2) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20062), (20250), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20251)  all_56_13 = e2 & op(e0, e2) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20251) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20252)  op(e0, e2) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (20110), (20252), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | |   (20253)   ~ (all_54_2 = e3)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (20253) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | |   (20254)   ~ (all_52_8 = e3)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |   (20255)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (20057), (20111), (20255),
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |            #109.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |   (20256)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20256) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |   (20257)  all_56_8 = e2 & op(e1, e1) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20257) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |   (20258)  op(e1, e1) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19982), (20258), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |   (20259)  all_56_14 = e2 & op(e0, e1) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20259) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |   (20260)  all_56_14 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |   (20261)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20261) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20262)  all_56_4 = e3 & op(e3, e1) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20262) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20263)  op(e3, e1) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (20254), (20263), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20264)  all_56_5 = e3 & op(e2, e1) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20264) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20265)  op(e2, e1) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20057), (20265), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #480.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |   (20266)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (19982), (20260), (20266),
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |            #1494.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | |   (20267)  all_54_14 = e1 | all_54_14 = e0
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (19838), (19978), (20267) are inconsistent
% 192.05/30.67  | | | | | | | | | | | | | | | | | | |            by sub-proof #1737.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | |   (20268)  all_56_13 = e1 & op(e0, e2) = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | ALPHA: (20268) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | |   (20269)  op(e0, e2) = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | REF_CLOSE: (158), (19837), (20269), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | |   (20270)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 192.05/30.67  | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 192.05/30.67  | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | REF_CLOSE: (4), (157), (19838), (19982), (20270),
% 192.05/30.67  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.67  | | | | | | | | | | | | |            #914.
% 192.05/30.67  | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | |   (20271)  all_20_2 = e3
% 192.05/30.67  | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | COMBINE_EQS: (325), (20271) imply:
% 192.05/30.67  | | | | | | | | | |   (20272)  all_10_2 = e3
% 192.05/30.67  | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | REDUCE: (366), (20272) imply:
% 192.05/30.67  | | | | | | | | | |   (20273)   ~ (all_52_11 = e3)
% 192.05/30.67  | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | REDUCE: (368), (20272) imply:
% 192.05/30.67  | | | | | | | | | |   (20274)   ~ (all_52_14 = e3)
% 192.05/30.67  | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | REDUCE: (45), (20272) imply:
% 192.05/30.67  | | | | | | | | | |   (20275)  op(e1, e1) = e3
% 192.05/30.67  | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | BETA: splitting (209) gives:
% 192.05/30.67  | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | |   (20276)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.05/30.67  | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.05/30.67  | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | BETA: splitting (20276) gives:
% 192.05/30.67  | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | |   (20277)  all_56_12 = e3 & op(e0, e3) = e3
% 192.05/30.67  | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | ALPHA: (20277) implies:
% 192.05/30.67  | | | | | | | | | | | |   (20278)  all_56_12 = e3
% 192.05/30.67  | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | BETA: splitting (212) gives:
% 192.05/30.67  | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | |   (20279)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 192.05/30.67  | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 192.05/30.67  | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | BETA: splitting (20279) gives:
% 192.05/30.67  | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | |   (20280)  all_56_9 = e3 & op(e3, e0) = e3
% 192.05/30.67  | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | ALPHA: (20280) implies:
% 192.05/30.67  | | | | | | | | | | | | | |   (20281)  op(e3, e0) = e3
% 192.05/30.67  | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 192.05/30.67  | | | | | | | | | | | | | |              e3, e0, e3, simplifying with (168), (20281) gives:
% 192.05/30.67  | | | | | | | | | | | | | |   (20282)  all_52_12 = e3
% 192.05/30.67  | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | REDUCE: (348), (20282) imply:
% 192.05/30.67  | | | | | | | | | | | | | |   (20283)   ~ (all_6_2 = e3)
% 192.05/30.67  | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | SIMP: (20283) implies:
% 192.05/30.67  | | | | | | | | | | | | | |   (20284)   ~ (all_6_2 = e3)
% 192.05/30.67  | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 192.05/30.67  | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | |   (20285)  all_54_0 = e3
% 192.05/30.67  | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | COMBINE_EQS: (279), (20285) imply:
% 192.05/30.67  | | | | | | | | | | | | | | |   (20286)  all_6_2 = e3
% 192.05/30.67  | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | REDUCE: (20284), (20286) imply:
% 192.05/30.67  | | | | | | | | | | | | | | |   (20287)  $false
% 192.05/30.67  | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | CLOSE: (20287) is inconsistent.
% 192.05/30.67  | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | |   (20288)   ~ (all_54_0 = e3)
% 192.05/30.67  | | | | | | | | | | | | | | |   (20289)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 192.05/30.67  | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | BETA: splitting (20289) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | |   (20290)  all_54_0 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (20290) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | |   (20291)  all_6_2 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | REDUCE: (18043), (20291) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | |   (20292)  $false
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | CLOSE: (20292) is inconsistent.
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | |   (20293)   ~ (all_54_0 = e2)
% 192.05/30.67  | | | | | | | | | | | | | | | |   (20294)  all_54_0 = e1 | all_54_0 = e0
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | BETA: splitting (20294) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | |   (20295)  all_54_0 = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (20295) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | |   (20296)  all_6_2 = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | REDUCE: (344), (20296) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | |   (20297)   ~ (all_52_4 = e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | REDUCE: (20284), (20296) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | |   (20298)   ~ (e3 = e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | REDUCE: (18043), (20296) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | |   (20299)   ~ (e2 = e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | REDUCE: (39), (20296) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | |   (20300)  op(e3, e3) = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | |   (20301)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233),
% 192.05/30.67  | | | | | | | | | | | | | | | | | |            (18039), (20278), (20300), (20301),
% 192.05/30.67  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.67  | | | | | | | | | | | | | | | | | |            #147.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | |   (20302)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | BETA: splitting (20302) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | |   (20303)  all_56_5 = e1 & op(e2, e1) = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | ALPHA: (20303) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | |   (20304)  op(e2, e1) = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | |   (20305)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (18039), (20297), (20305),
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | |            #146.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | |   (20306)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20306) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |   (20307)  all_56_7 = e1 & op(e1, e2) = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20307) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |   (20308)  op(e1, e2) = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (20308) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |   (20309)  all_52_6 = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (20304) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |   (20310)  all_52_9 = e1
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (20309) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |   (20311)   ~ (all_52_2 = e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (20309) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |   (20312)   ~ (all_52_14 = e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (20310) imply:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | |   (20313)   ~ (all_52_11 = e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |   (20314)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20314) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |   (20315)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20315) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20316)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20316) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (20317)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20317) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (20318)   ~ (all_57_12 = e3)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (20319)  op(e2, e2) = all_57_12
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (20318), (20319), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (20320)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20320) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (20321)  op(e0, e0) = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19842), (20321), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20322)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (20311), (20322), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #219.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |   (20323)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20323) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20324)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (20308), (20324),
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |            #183.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |   (20325)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20325) gives:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (20326)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20326) implies:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (20327)  op(e3, e3) = e2
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20300), (20327), (function-axioms) are
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (20328)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18039), (19842), (20328),
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | |            #107.
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.67  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |   (20329)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20329) gives:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |   (20330)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20330) gives:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |   (20331)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20300), (20304), (20331), (function-axioms)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #441.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |   (20332)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20332) gives:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (20333)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20333) implies:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (20334)  op(e2, e1) = e2
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20304), (20334), (function-axioms) are
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (20335)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (20275), (20335), (function-axioms)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #153.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |   (20336)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20336) gives:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |   (20337)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20300), (20337), (function-axioms) are
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |   (20338)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20338) gives:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (20339)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20339) implies:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (20340)  op(e1, e1) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20275), (20340), (function-axioms) are
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (20341)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20341) gives:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20342)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20342) implies:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20343)  op(e1, e0) = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (19841), (20343), (function-axioms) are
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20344)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20344) implies:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20345)  op(e0, e0) = all_57_15
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20346)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20346) gives:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20347)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20347) gives:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20348)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20348) implies:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20349)   ~ (all_57_15 = e3)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20350)  op(e0, e3) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (120), (139), (140), (157),
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (168), (169), (170), (239), (18030),
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18039), (19838), (19842), (20275), (20281),
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20300), (20308), (20345), (20349), (20350),
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #106.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20351)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20351) gives:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20352)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20352) implies:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20353)   ~ (all_57_15 = e3)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20354)  op(e0, e3) = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (120), (139), (140), (157),
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (168), (169), (170), (239), (18030),
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18039), (19838), (19842), (20275), (20281),
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20300), (20308), (20345), (20353), (20354),
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #106.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20355)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20355) implies:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20356)  op(e3, e3) = e2
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20300), (20356), (function-axioms) are
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20357)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (19842), (20308), (20345), (20357),
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #105.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | |   (20358)  all_56_13 = e1 & op(e0, e2) = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20358) implies:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | |   (20359)  op(e0, e2) = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (19837), (20359), (function-axioms) are
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | |   (20360)  all_56_10 = e1 & op(e2, e0) = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | ALPHA: (20360) implies:
% 192.05/30.68  | | | | | | | | | | | | | | | | | | |   (20361)  op(e2, e0) = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (19840), (20361), (function-axioms) are
% 192.05/30.68  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1650.
% 192.05/30.68  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | |   (20362)  all_54_0 = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (20362) imply:
% 192.05/30.68  | | | | | | | | | | | | | | | | |   (20363)  all_6_2 = e0
% 192.05/30.68  | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | REDUCE: (18040), (20363) imply:
% 192.05/30.68  | | | | | | | | | | | | | | | | |   (20364)  $false
% 192.05/30.68  | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | | CLOSE: (20364) is inconsistent.
% 192.05/30.68  | | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | |   (20365)  all_56_10 = e3 & op(e2, e0) = e3
% 192.05/30.68  | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | REF_CLOSE: (164), (18034), (20365), (function-axioms) are
% 192.05/30.68  | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 192.05/30.68  | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | |   (20366)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 192.05/30.68  | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.68  | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | REF_CLOSE: (8), (160), (19842), (20274), (20366),
% 192.05/30.68  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.68  | | | | | | | | | | | | |            #585.
% 192.05/30.68  | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | |   (20367)  all_56_13 = e3 & op(e0, e2) = e3
% 192.05/30.68  | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | ALPHA: (20367) implies:
% 192.05/30.68  | | | | | | | | | | | |   (20368)  op(e0, e2) = e3
% 192.05/30.68  | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | REF_CLOSE: (158), (18032), (20368), (function-axioms) are
% 192.05/30.68  | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 192.05/30.68  | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | |   (20369)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.05/30.68  | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.68  | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | REF_CLOSE: (8), (157), (19842), (20273), (20369),
% 192.05/30.68  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.68  | | | | | | | | | | |            #104.
% 192.05/30.68  | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | | 
% 192.05/30.68  | | | | | | | | End of split
% 192.05/30.68  | | | | | | | | 
% 192.05/30.68  | | | | | | | End of split
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | Case 2:
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | |   (20370)  all_12_2 = e2
% 192.05/30.68  | | | | | | |   (20371)  ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 192.05/30.68  | | | | | | |              op(e3, e2) = all_12_1 & $i(all_12_0) & $i(all_12_1))
% 192.05/30.68  | | | | | | |            | ( ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 192.05/30.68  | | | | | | |              $i(all_12_1))
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | | COMBINE_EQS: (324), (20370) imply:
% 192.05/30.68  | | | | | | |   (20372)  all_6_2 = e2
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | | COMBINE_EQS: (281), (20372) imply:
% 192.05/30.68  | | | | | | |   (20373)  all_46_2 = e2
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | | REDUCE: (338), (20372) imply:
% 192.05/30.68  | | | | | | |   (20374)   ~ (all_52_1 = e2)
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | | REDUCE: (340), (20372) imply:
% 192.05/30.68  | | | | | | |   (20375)   ~ (all_52_2 = e2)
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | | REDUCE: (342), (20372) imply:
% 192.05/30.68  | | | | | | |   (20376)   ~ (all_52_3 = e2)
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | | REDUCE: (344), (20372) imply:
% 192.05/30.68  | | | | | | |   (20377)   ~ (all_52_4 = e2)
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | | REDUCE: (346), (20372) imply:
% 192.05/30.68  | | | | | | |   (20378)   ~ (all_52_8 = e2)
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | | REDUCE: (348), (20372) imply:
% 192.05/30.68  | | | | | | |   (20379)   ~ (all_52_12 = e2)
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | | BETA: splitting (233) gives:
% 192.05/30.68  | | | | | | | 
% 192.05/30.68  | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | 
% 192.05/30.68  | | | | | | | |   (20380)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 &
% 192.05/30.68  | | | | | | | |              op(e2, e3) = e2)
% 192.05/30.68  | | | | | | | | 
% 192.05/30.68  | | | | | | | | BETA: splitting (20380) gives:
% 192.05/30.68  | | | | | | | | 
% 192.05/30.68  | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | 
% 192.05/30.68  | | | | | | | | |   (20381)  all_56_0 = e2 & op(e3, e3) = e2
% 192.05/30.68  | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | ALPHA: (20381) implies:
% 192.05/30.68  | | | | | | | | |   (20382)  all_56_0 = e2
% 192.05/30.68  | | | | | | | | |   (20383)  op(e3, e3) = e2
% 192.05/30.68  | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | BETA: splitting (52) gives:
% 192.05/30.68  | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | |   (20384)   ~ (all_14_2 = e1)
% 192.05/30.68  | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | BETA: splitting (58) gives:
% 192.05/30.68  | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | |   (20385)   ~ (all_18_2 = e3)
% 192.05/30.68  | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | REDUCE: (301), (20385) imply:
% 192.05/30.68  | | | | | | | | | | |   (20386)   ~ (all_14_2 = e3)
% 192.05/30.68  | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | BETA: splitting (61) gives:
% 192.05/30.68  | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | |   (20387)   ~ (all_20_2 = e3)
% 192.05/30.68  | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | REDUCE: (325), (20387) imply:
% 192.05/30.68  | | | | | | | | | | | |   (20388)   ~ (all_10_2 = e3)
% 192.05/30.68  | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | BETA: splitting (64) gives:
% 192.05/30.68  | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | |   (20389)   ~ (all_22_2 = e0)
% 192.05/30.68  | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | REDUCE: (251), (20389) imply:
% 192.05/30.68  | | | | | | | | | | | | |   (20390)   ~ (all_10_2 = e0)
% 192.05/30.68  | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | BETA: splitting (194) gives:
% 192.05/30.68  | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | |   (20391)  all_54_10 = e3
% 192.05/30.68  | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | REF_CLOSE: (336), (20388), (20391) are inconsistent by
% 192.05/30.68  | | | | | | | | | | | | | |            sub-proof #983.
% 192.05/30.68  | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | |   (20392)   ~ (all_54_10 = e3)
% 192.05/30.68  | | | | | | | | | | | | | |   (20393)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 192.05/30.68  | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | BETA: splitting (20393) gives:
% 192.05/30.68  | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | |   (20394)  all_54_10 = e2
% 192.05/30.68  | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | REF_CLOSE: (336), (18041), (20394) are inconsistent by
% 192.05/30.68  | | | | | | | | | | | | | | |            sub-proof #982.
% 192.05/30.68  | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | Case 2:
% 192.05/30.68  | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | |   (20395)   ~ (all_54_10 = e2)
% 192.05/30.68  | | | | | | | | | | | | | | |   (20396)  all_54_10 = e1 | all_54_10 = e0
% 192.05/30.68  | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | BETA: splitting (20396) gives:
% 192.05/30.68  | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.68  | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | |   (20397)  all_54_10 = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (20397) imply:
% 192.05/30.68  | | | | | | | | | | | | | | | |   (20398)  all_10_2 = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | SIMP: (20398) implies:
% 192.05/30.68  | | | | | | | | | | | | | | | |   (20399)  all_10_2 = e1
% 192.05/30.68  | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | REDUCE: (350), (20399) imply:
% 192.05/30.68  | | | | | | | | | | | | | | | |   (20400)   ~ (all_52_2 = e1)
% 192.05/30.68  | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | REDUCE: (361), (20399) imply:
% 192.05/30.68  | | | | | | | | | | | | | | | |   (20401)   ~ (all_52_6 = e1)
% 192.05/30.68  | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | REDUCE: (364), (20399) imply:
% 192.05/30.68  | | | | | | | | | | | | | | | |   (20402)   ~ (all_52_9 = e1)
% 192.05/30.68  | | | | | | | | | | | | | | | | 
% 192.05/30.68  | | | | | | | | | | | | | | | | REDUCE: (366), (20399) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | |   (20403)   ~ (all_52_11 = e1)
% 192.05/30.69  | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | REDUCE: (368), (20399) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | |   (20404)   ~ (all_52_14 = e1)
% 192.05/30.69  | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | REDUCE: (20388), (20399) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | |   (20405)   ~ (e3 = e1)
% 192.05/30.69  | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | REDUCE: (18041), (20399) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | |   (20406)   ~ (e2 = e1)
% 192.05/30.69  | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | REDUCE: (45), (20399) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | |   (20407)  op(e1, e1) = e1
% 192.05/30.69  | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | |   (20408)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.69  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.69  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.69  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.05/30.69  | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.05/30.69  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.05/30.69  | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.69  | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | BETA: splitting (20408) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | |   (20409)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.69  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.69  | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | BETA: splitting (20409) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |   (20410)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (20374), (20410), (function-axioms) are
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1784.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |   (20411)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (20400), (20411), (function-axioms) are
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #219.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | |   (20412)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.69  | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | BETA: splitting (20412) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |   (20413)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20383), (20413), (function-axioms) are
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #798.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |   (20414)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (18039), (20401), (20414),
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |            #218.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.69  | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | |   (20415)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.69  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.05/30.69  | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.05/30.69  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.05/30.69  | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.05/30.69  | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.69  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.69  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.69  | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | BETA: splitting (20415) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | |   (20416)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | BETA: splitting (20416) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |   (20417)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (20383), (20384), (20417),
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |            #682.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |   (20418)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | BETA: splitting (20418) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |   (20419)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | ALPHA: (20419) implies:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |   (20420)  op(e0, e0) = e1
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (20384), (20420), (function-axioms) are
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1967.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |   (20421)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (18039), (20407), (20421),
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |            #200.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | |   (20422)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.69  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | BETA: splitting (20422) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |   (20423)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20383), (20423), (function-axioms) are
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |   (20424)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | BETA: splitting (20424) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |   (20425)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | ALPHA: (20425) implies:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |   (20426)  op(e1, e1) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20407), (20426), (function-axioms) are
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |   (20427)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20427) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |   (20428)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20428) implies:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |   (20429)  op(e1, e0) = e1
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (20404), (20429), (function-axioms) are
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |   (20430)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20430) implies:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |   (20431)  op(e0, e0) = all_57_15
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |   (20432)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (51), (20431)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | |   (20433)  all_57_15 = all_14_2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |   (20434)   ~ (all_28_2 = e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (20434) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |   (20435)   ~ (all_14_2 = e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (159), (189), (246),
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |            (351), (362), (369), (20383), (20384), (20386),
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |            (20432), (20435), (function-axioms) are
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #197.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |   (20436)  all_28_2 = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (20436) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |   (20437)  all_14_2 = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | SIMP: (20437) implies:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |   (20438)  all_14_2 = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20433), (20438) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |   (20439)  all_57_15 = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (20438) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |   (20440)   ~ (all_52_7 = e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (20438) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |   (20441)   ~ (all_52_13 = e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20386), (20438) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |   (20442)   ~ (e3 = e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (20438) imply:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | |   (20443)  op(e0, e0) = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | |   (20444)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (18039), (20377), (20444),
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | |            #103.
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | |   (20445)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20445) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | |   (20446)  all_56_7 = e2 & op(e1, e2) = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20446) implies:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | |   (20447)  op(e1, e2) = e2
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20432) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (20448)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20448) gives:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20449)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20449) implies:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20450)   ~ (all_57_15 = e3)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20451)  op(e0, e3) = e0
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20452)  op(e2, e3) = all_57_0
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20453)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (18039), (20374), (20453),
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #212.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20454)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20454) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20455)  all_56_5 = e2 & op(e2, e1) = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20455) implies:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20456)  op(e2, e1) = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (20451) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20457)  all_52_3 = e0
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (20447) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20458)  all_52_6 = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (20456) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20459)  all_52_9 = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0, e3, e2, simplifying with (167), (20452)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20460)  all_57_0 = all_52_1
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (20457) imply:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20461)   ~ (all_52_7 = e0)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20461) implies:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20462)   ~ (all_52_7 = e0)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (20457) imply:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20463)   ~ (all_52_11 = e0)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20463) implies:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20464)   ~ (all_52_11 = e0)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20376), (20457) imply:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20465)   ~ (e2 = e0)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (20458) imply:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20466)   ~ (all_52_7 = e2)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20467)  all_54_13 = e3
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (18032), (20467) are inconsistent by
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20468)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20468) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20469)  all_54_13 = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (20440), (20469) are inconsistent by
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1444.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20470)  all_54_13 = e1 | all_54_13 = e0
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20471)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20471) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20472)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (18030), (20377), (20383), (20431),
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20450), (20451), (20472), (function-axioms) are
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #102.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20473)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20473) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20474)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20474) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20475)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20475) implies:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20476)  op(e3, e3) = e0
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20383), (20476), (function-axioms) are
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20477)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20477) implies:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20478)  all_57_15 = e3
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20479)  op(e0, e0) = e3
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20480)  op(e3, e0) = e0
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20481)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (45), (140), (158), (159), (160), (162),
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (238), (336), (361), (368), (18039),
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18041), (20374), (20383), (20388), (20390),
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20393), (20451), (20478), (20479), (20480),
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20481), (function-axioms) are inconsistent by
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #100.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20482)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20482) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20483)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20483) implies:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20484)  op(e2, e2) = e1
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (20383), (20407), (20432),
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20462), (20464), (20484), (function-axioms) are
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #789.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20485)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20485) implies:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20486)  op(e1, e2) = e1
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (248), (20462), (20470), (20486),
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #509.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20487)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20487) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20488)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20488) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20489)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20489) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20490)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20490) implies:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20491)  op(e2, e0) = e2
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (20456), (20491),
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20492)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20492) implies:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20493)  op(e0, e2) = e0
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (20462), (20493), (function-axioms) are
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20494)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (20403), (20443), (20494),
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1730.
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20495)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20495) gives:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20496)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (20431), (20450), (20451), (20496),
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #213.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20497)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20497) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20498)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20498) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20499)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (20456), (20499), (function-axioms)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #204.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20500)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20500) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20501)  op(e0, e0) = e0
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20443), (20501), (function-axioms) are
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20502)  all_56_10 = e2 & op(e2, e0) = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20502) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20503)  op(e2, e0) = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (20441), (20503), (function-axioms) are
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20504)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20504) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20505)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20505) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20506)  op(e1, e1) = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20407), (20506), (function-axioms) are
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1978.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20507)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20507) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20508)   ~ (all_57_15 = e2)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20431), (20443), (20508), (function-axioms) are
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (20509)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18039), (20383), (20431), (20443),
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |            (20509), (function-axioms) are inconsistent by
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #99.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | |   (20510)  all_56_13 = e2 & op(e0, e2) = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20510) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | |   (20511)  op(e0, e2) = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (20440), (20511), (function-axioms) are
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | |   (20512)  all_54_10 = e0
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | REF_CLOSE: (336), (20390), (20512) are inconsistent by
% 192.05/30.71  | | | | | | | | | | | | | | | |            sub-proof #932.
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | |   (20513)  all_22_2 = e0
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | COMBINE_EQS: (251), (20513) imply:
% 192.05/30.71  | | | | | | | | | | | | |   (20514)  all_10_2 = e0
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | SIMP: (20514) implies:
% 192.05/30.71  | | | | | | | | | | | | |   (20515)  all_10_2 = e0
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | REDUCE: (350), (20515) imply:
% 192.05/30.71  | | | | | | | | | | | | |   (20516)   ~ (all_52_2 = e0)
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | REDUCE: (363), (20515) imply:
% 192.05/30.71  | | | | | | | | | | | | |   (20517)   ~ (all_52_8 = e0)
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | REDUCE: (366), (20515) imply:
% 192.05/30.71  | | | | | | | | | | | | |   (20518)   ~ (all_52_11 = e0)
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | REDUCE: (368), (20515) imply:
% 192.05/30.71  | | | | | | | | | | | | |   (20519)   ~ (all_52_14 = e0)
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | REDUCE: (20388), (20515) imply:
% 192.05/30.71  | | | | | | | | | | | | |   (20520)   ~ (e3 = e0)
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | REDUCE: (18041), (20515) imply:
% 192.05/30.71  | | | | | | | | | | | | |   (20521)   ~ (e2 = e0)
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | REDUCE: (45), (20515) imply:
% 192.05/30.71  | | | | | | | | | | | | |   (20522)  op(e1, e1) = e0
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | BETA: splitting (73) gives:
% 192.05/30.71  | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | |   (20523)   ~ (all_28_2 = e2)
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | REDUCE: (330), (20523) imply:
% 192.05/30.71  | | | | | | | | | | | | | |   (20524)   ~ (all_14_2 = e2)
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | |   (20525)  all_54_15 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | COMBINE_EQS: (246), (20525) imply:
% 192.05/30.71  | | | | | | | | | | | | | | |   (20526)  all_14_2 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | REDUCE: (20386), (20526) imply:
% 192.05/30.71  | | | | | | | | | | | | | | |   (20527)  $false
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | CLOSE: (20527) is inconsistent.
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | |   (20528)   ~ (all_54_15 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | |   (20529)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (51), (91), (100), (117), (143),
% 192.05/30.71  | | | | | | | | | | | | | | |            (144), (145), (148), (149), (159), (160), (162),
% 192.05/30.71  | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 192.05/30.71  | | | | | | | | | | | | | | |            (192), (196), (211), (216), (218), (219), (220),
% 192.05/30.71  | | | | | | | | | | | | | | |            (221), (224), (229), (230), (231), (234), (235),
% 192.05/30.71  | | | | | | | | | | | | | | |            (239), (246), (249), (259), (370), (371), (372),
% 192.05/30.71  | | | | | | | | | | | | | | |            (18027), (18028), (18030), (18031), (18033),
% 192.05/30.71  | | | | | | | | | | | | | | |            (18034), (18039), (20371), (20373), (20375),
% 192.05/30.71  | | | | | | | | | | | | | | |            (20376), (20377), (20378), (20379), (20383),
% 192.05/30.71  | | | | | | | | | | | | | | |            (20384), (20386), (20522), (20524), (20529),
% 192.05/30.71  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.71  | | | | | | | | | | | | | | |            #91.
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | |   (20530)  all_28_2 = e2
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | COMBINE_EQS: (330), (20530) imply:
% 192.05/30.71  | | | | | | | | | | | | | |   (20531)  all_14_2 = e2
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | SIMP: (20531) implies:
% 192.05/30.71  | | | | | | | | | | | | | |   (20532)  all_14_2 = e2
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | REDUCE: (371), (20532) imply:
% 192.05/30.71  | | | | | | | | | | | | | |   (20533)   ~ (all_52_13 = e2)
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | REDUCE: (372), (20532) imply:
% 192.05/30.71  | | | | | | | | | | | | | |   (20534)   ~ (all_52_14 = e2)
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | REDUCE: (20386), (20532) imply:
% 192.05/30.71  | | | | | | | | | | | | | |   (20535)   ~ (e3 = e2)
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | REDUCE: (51), (20532) imply:
% 192.05/30.71  | | | | | | | | | | | | | |   (20536)  op(e0, e0) = e2
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 192.05/30.71  | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | |   (20537)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 192.05/30.71  | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | BETA: splitting (20537) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | |   (20538)  all_56_6 = e2 & op(e1, e3) = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | REF_CLOSE: (163), (20375), (20538), (function-axioms) are
% 192.05/30.71  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | |   (20539)  all_56_7 = e2 & op(e1, e2) = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | ALPHA: (20539) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | |   (20540)  all_56_7 = e2
% 192.05/30.71  | | | | | | | | | | | | | | | |   (20541)  op(e1, e2) = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | |   (20542)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.05/30.71  | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (18039), (20374), (20542),
% 192.05/30.71  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.71  | | | | | | | | | | | | | | | | |            #212.
% 192.05/30.71  | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | |   (20543)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 192.05/30.71  | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 192.05/30.71  | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | BETA: splitting (20543) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | |   (20544)  all_56_5 = e2 & op(e2, e1) = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | ALPHA: (20544) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | |   (20545)  op(e2, e1) = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | |   (20546)  all_54_4 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (18029), (20546) are inconsistent by
% 192.05/30.71  | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | |   (20547)   ~ (all_54_4 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | |   (20548)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | |   (20549)  all_54_8 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (20549) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | |   (20550)  all_52_2 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | SIMP: (20550) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | |   (20551)  all_52_2 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (20551) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | |   (20552)   ~ (all_52_3 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | SIMP: (20552) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | |   (20553)   ~ (all_52_3 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (20551) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | |   (20554)   ~ (all_52_14 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | SIMP: (20554) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | |   (20555)   ~ (all_52_14 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | |   (20556)  all_54_11 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (20555), (20556) are inconsistent by
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1277.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | |   (20557)   ~ (all_54_11 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | |   (20558)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20558) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | |   (20559)  all_54_11 = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (20534), (20559) are inconsistent by
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | |   (20560)   ~ (all_54_11 = e2)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | |   (20561)  all_54_11 = e1 | all_54_11 = e0
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20561) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | |   (20562)  all_54_11 = e1
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (20562) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | |   (20563)  all_52_14 = e1
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20563) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | |   (20564)  all_52_14 = e1
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (20564) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | |   (20565)   ~ (all_52_12 = e1)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (20564) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | |   (20566)   ~ (all_52_13 = e1)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20555), (20564) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | |   (20567)   ~ (e3 = e1)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20534), (20564) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | |   (20568)   ~ (e2 = e1)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (20564) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | |   (20569)  op(e1, e0) = e1
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | |   (20570)  all_54_7 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (18034), (20570) are inconsistent by
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | |   (20571)   ~ (all_54_7 = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | |   (20572)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (20573)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (18032), (20553), (20573),
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |            #322.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (20574)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20574) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20575)  all_56_14 = e3 & op(e0, e1) = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20575) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20576)  all_56_14 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20577)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20577) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20578)  all_56_0 = e3 & op(e3, e3) = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20578) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20579)  op(e3, e3) = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (20383), (20579), (function-axioms) are
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20580)  all_56_2 = e3 & op(e2, e3) = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20580) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20581)  all_56_2 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (216), (229),
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (20382), (20383), (20522), (20541),
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20555), (20581), (function-axioms) are
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #679.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20582)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20582) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20583)  all_56_6 = e3 & op(e1, e3) = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20583) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20584)  all_56_6 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20572) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20585)  all_54_7 = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (20533), (20585) are inconsistent by
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20586)   ~ (all_54_7 = e2)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20587)  all_54_7 = e1 | all_54_7 = e0
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20587) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20588)  all_54_7 = e1
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (20566), (20588) are inconsistent by
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1446.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20589)  all_54_7 = e0
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (20589) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20590)  all_52_13 = e0
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20590) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20591)  all_52_13 = e0
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (20591) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20592)   ~ (all_52_1 = e0)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (20591) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20593)   ~ (all_52_12 = e0)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20566), (20591) imply:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20594)   ~ (e1 = e0)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20595)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20595) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20596)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20596) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20597)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (20545), (20597),
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #90.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20598)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20598) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20599)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20599) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20600)  op(e1, e3) = e1
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (269), (20374), (20548), (20592),
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20600), (function-axioms) are inconsistent by
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #686.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20601)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20601) implies:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20602)  op(e1, e3) = e1
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (269), (20374), (20548), (20592),
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20602), (function-axioms) are inconsistent by
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #686.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20603)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20603) gives:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20604)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20383), (20604), (function-axioms) are
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #798.
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20605)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.05/30.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20605) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20606)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20606) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20607)  op(e1, e2) = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20541), (20607), (function-axioms) are
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20608)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20608) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20609)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20609) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20610)  op(e1, e2) = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20541), (20610), (function-axioms) are
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20611)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20611) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20612)  op(e2, e2) = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (112), (117), (157),
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (163), (164), (165), (167), (168), (193),
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (238), (250), (20374), (20375), (20383),
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20518), (20519), (20522), (20534), (20536),
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20545), (20612), (function-axioms) are
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #746.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20613)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20613) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20614)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20614) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20615)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20383), (20536), (20615), (function-axioms)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #811.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20616)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (18039), (20536), (20569), (20616),
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #144.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20617)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20617) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20618)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20383), (20618), (function-axioms) are
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20619)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20619) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20620)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20620) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20621)   ~ (all_57_13 = e1)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20622)  op(e1, e0) = all_57_13
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20569), (20621), (20622), (function-axioms) are
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1437.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20623)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20623) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20624)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20624) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20625)   ~ (all_57_14 = e0)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20626)  op(e1, e1) = all_57_14
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20522), (20625), (20626), (function-axioms) are
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20627)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20627) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20628)  op(e0, e0) = all_57_15
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20629)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20630)  all_54_3 = e3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (20630) imply:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20631)  all_52_12 = e3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20631) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20632)  all_52_12 = e3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (20632) imply:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20633)   ~ (all_52_8 = e3)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (20632) imply:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20634)  op(e3, e0) = e3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20635)  all_54_2 = e3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (20633), (20635) are inconsistent by
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1762.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20636)   ~ (all_54_2 = e3)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20637)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20638)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20638) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20639)  all_56_4 = e1 & op(e3, e1) = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20639) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20640)  all_56_4 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20641)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20641) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20642)  all_56_2 = e1 & op(e2, e3) = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20642) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20643)  all_56_2 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20644)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (18039), (20592), (20644),
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #89.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20645)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20645) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20646)  all_56_5 = e0 & op(e2, e1) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20646) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20647)  all_56_5 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (20522),
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20640), (20647), (function-axioms) are
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1554.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20648)  all_56_10 = e0 & op(e2, e0) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20648) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20649)  all_56_10 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20637) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20650)  all_54_2 = e2
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (20378), (20650) are inconsistent by
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1761.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20651)   ~ (all_54_2 = e2)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20652)  all_54_2 = e1 | all_54_2 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20653)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20653) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20654)  all_56_0 = e0 & op(e3, e3) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20654) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20655)  op(e3, e3) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20383), (20655), (function-axioms) are
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20656)  all_56_2 = e0 & op(e2, e3) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (20592), (20656), (function-axioms) are
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #366.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20657)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20657) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20658)  all_56_6 = e0 & op(e1, e3) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20658) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20659)  all_56_6 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (215), (216),
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (20522), (20640), (20659),
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1574.
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20660)  all_56_12 = e0 & op(e0, e3) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20660) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20661)  all_56_12 = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20652) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20662)  all_54_2 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (20662) imply:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20663)  all_52_8 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20663) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20664)  all_52_8 = e1
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (20664) imply:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20665)   ~ (all_52_11 = e1)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20665) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20666)   ~ (all_52_11 = e1)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20629) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20667)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20667) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20668)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20668) implies:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20669)   ~ (all_57_15 = e3)
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20670)  op(e0, e3) = e0
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20671)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20671) gives:
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20672)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20672) gives:
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20673)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (20377), (20673),
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.05/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20674)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20674) gives:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20675)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20675) implies:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20676)  op(e3, e3) = e1
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (20584), (20643), (20661),
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20676), (function-axioms) are inconsistent by
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #619.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20677)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20677) implies:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20678)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20628), (20669), (20670), (20678),
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1275.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20679)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20679) gives:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20680)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (168), (20383), (20593), (20680),
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #658.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20681)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20681) gives:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20682)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20682) implies:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20683)  op(e2, e2) = e1
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (20522), (20643), (20649),
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20683), (function-axioms) are inconsistent by
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #280.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20684)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20684) implies:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20685)  op(e1, e2) = e1
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20541), (20685), (function-axioms) are
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20686)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20686) gives:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20687)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20687) gives:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20688)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (140), (158), (159), (202), (271), (20378),
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20383), (20633), (20634), (20670), (20688),
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #88.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20689)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20689) gives:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20690)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20690) implies:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20691)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (202), (271), (20378), (20383), (20633),
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20634), (20691), (function-axioms) are
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20692)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20692) implies:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20693)  op(e1, e0) = e0
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20569), (20693), (function-axioms) are
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20694)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20694) gives:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20695)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (20628), (20669), (20670), (20695),
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #213.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20696)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20696) gives:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20697)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20697) implies:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20698)  op(e1, e1) = e1
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20522), (20698), (function-axioms) are
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20699)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20699) implies:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20700)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (202), (271), (20378), (20383), (20633),
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20634), (20700), (function-axioms) are
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20701)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20701) gives:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20702)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20702) implies:
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20703)  op(e1, e1) = e3
% 192.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (230), (232), (236), (20382),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20383), (20565), (20576), (20633), (20666),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20703), (function-axioms) are inconsistent by
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #572.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20704)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20704) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20705)   ~ (all_57_15 = e2)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20536), (20628), (20705), (function-axioms) are
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20706)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20706) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20707)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20707) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20708)   ~ (all_57_15 = e2)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20536), (20628), (20708), (function-axioms) are
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20709)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20709) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20710)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20710) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20711)  op(e3, e3) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (20584), (20643), (20661),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20711), (function-axioms) are inconsistent by
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #619.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20712)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20712) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20713)  op(e2, e2) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (20522), (20643), (20649),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20713), (function-axioms) are inconsistent by
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #280.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20714)  all_54_2 = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (20517), (20714) are inconsistent by
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1389.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20715)  all_56_3 = e1 & op(e2, e2) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20715) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20716)  op(e2, e2) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (157), (20518), (20522),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20536), (20628), (20629), (20716),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #747.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20717)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (20545), (20566), (20717),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #586.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20718)  all_56_5 = e1 & op(e2, e1) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20718) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20719)  op(e2, e1) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20545), (20719), (function-axioms) are
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20720)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20720) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20721)  all_56_8 = e1 & op(e1, e1) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20721) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20722)  op(e1, e1) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20522), (20722), (function-axioms) are
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20723)  all_56_14 = e1 & op(e0, e1) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20723) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20724)  op(e0, e1) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (20378), (20517), (20637),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20724), (function-axioms) are inconsistent by
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #295.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20725)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (20379), (20569), (20593),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20725), (function-axioms) are inconsistent by
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1290.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20726)  all_56_12 = e3 & op(e0, e3) = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20726) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20727)  op(e0, e3) = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (20553), (20727), (function-axioms) are
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #323.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20728)  all_56_15 = e3 & op(e0, e0) = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20728) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20729)  op(e0, e0) = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (164), (168),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (214), (216), (20379), (20522), (20533),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            (20540), (20541), (20555), (20729),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            #666.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |   (20730)  all_54_11 = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (20519), (20730) are inconsistent by
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | |   (20731)   ~ (all_54_8 = e3)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | |   (20732)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (20731) imply:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | |   (20733)   ~ (all_52_2 = e3)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | |   (20734)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (18029), (20383), (20734),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | |            #87.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | |   (20735)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20735) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | |   (20736)  all_56_6 = e3 & op(e1, e3) = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20736) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | |   (20737)  op(e1, e3) = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (20733), (20737), (function-axioms) are
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | |   (20738)  all_56_12 = e3 & op(e0, e3) = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20738) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | |   (20739)  all_56_12 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |   (20740)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20740) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |   (20741)  all_56_0 = e0 & op(e3, e3) = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20741) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |   (20742)  op(e3, e3) = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20383), (20742), (function-axioms) are
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |   (20743)  all_56_2 = e0 & op(e2, e3) = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20743) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |   (20744)  all_56_2 = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (20745)  all_56_15 = e0 & op(e0, e0) = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20745) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (20746)  op(e0, e0) = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20536), (20746), (function-axioms) are
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1945.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (20747)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20747) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (20748)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20748) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20749)  all_56_12 = e0 & op(e0, e3) = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20739), (20749) are inconsistent by
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1846.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20750)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20750) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20751)  all_56_13 = e0 & op(e0, e2) = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20751) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20752)  op(e0, e2) = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20732) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20753)  all_54_8 = e2
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (20375), (20753) are inconsistent by
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20754)   ~ (all_54_8 = e2)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20755)  all_54_8 = e1 | all_54_8 = e0
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20755) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20756)  all_54_8 = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (20756) imply:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20757)  all_52_2 = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20757) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20758)  all_52_2 = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (20758) imply:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20759)   ~ (all_52_1 = e1)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (20758) imply:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20760)   ~ (all_52_14 = e1)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (20760) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20761)   ~ (all_52_14 = e1)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20733), (20758) imply:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20762)   ~ (e3 = e1)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20375), (20758) imply:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20763)   ~ (e2 = e1)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20764)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20764) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20765)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20765) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20766)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (20377), (20766),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20767)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (20383), (20522), (20767),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #775.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20768)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20768) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20769)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (140), (158), (159), (20383), (20752),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20769), (function-axioms) are inconsistent by
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #86.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20770)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20770) gives:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20771)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20771) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20772)  op(e2, e2) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (112), (117), (157),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (163), (164), (165), (167), (168), (193),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (238), (250), (20374), (20375), (20383),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20518), (20519), (20522), (20534), (20536),
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20545), (20772), (function-axioms) are
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #746.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20773)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20773) implies:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20774)  op(e1, e2) = e1
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20541), (20774), (function-axioms) are
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20775)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20775) gives:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20776)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20776) gives:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20777)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20777) gives:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20778)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20778) implies:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20779)  op(e2, e0) = e2
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (20545), (20779),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20780)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20780) implies:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20781)  op(e2, e0) = e0
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (20374), (20548), (20759),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20781), (function-axioms) are inconsistent by
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #201.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20782)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (20519), (20761), (20782),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1514.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20783)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20783) gives:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20784)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20784) gives:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20785)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20785) implies:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20786)  op(e3, e3) = e3
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20739), (20744), (20786), (function-axioms) are
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1596.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20787)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20787) implies:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20788)  op(e2, e2) = e2
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (20788), (function-axioms) are
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20789)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (20522), (20536), (20789),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1433.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20790)  all_54_8 = e0
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (20516), (20790) are inconsistent by
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1366.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20791)  all_56_14 = e0 & op(e0, e1) = e0
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20791) implies:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20792)  op(e0, e1) = e0
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (20518), (20792), (function-axioms) are
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | |   (20793)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (20516), (20739), (20793),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | |            #1699.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | |   (20794)  all_56_10 = e2 & op(e2, e0) = e2
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | ALPHA: (20794) implies:
% 192.36/30.75  | | | | | | | | | | | | | | | | | |   (20795)  op(e2, e0) = e2
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (20533), (20795), (function-axioms) are
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | |   (20796)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 192.36/30.75  | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 192.36/30.75  | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (20522), (20534), (20796),
% 192.36/30.75  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.75  | | | | | | | | | | | | | | |            #759.
% 192.36/30.75  | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | |   (20797)  all_20_2 = e3
% 192.36/30.75  | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | COMBINE_EQS: (325), (20797) imply:
% 192.36/30.75  | | | | | | | | | | | |   (20798)  all_10_2 = e3
% 192.36/30.75  | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | SIMP: (20798) implies:
% 192.36/30.75  | | | | | | | | | | | |   (20799)  all_10_2 = e3
% 192.36/30.75  | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | REDUCE: (363), (20799) imply:
% 192.36/30.75  | | | | | | | | | | | |   (20800)   ~ (all_52_8 = e3)
% 192.36/30.75  | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | REDUCE: (45), (20799) imply:
% 192.36/30.75  | | | | | | | | | | | |   (20801)  op(e1, e1) = e3
% 192.36/30.75  | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.36/30.75  | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | |   (20802)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.36/30.75  | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 192.36/30.75  | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | REF_CLOSE: (9), (170), (18030), (20383), (20802),
% 192.36/30.75  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.75  | | | | | | | | | | | | |            #826.
% 192.36/30.75  | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | |   (20803)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.36/30.75  | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 192.36/30.75  | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | BETA: splitting (20803) gives:
% 192.36/30.75  | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | |   (20804)  all_56_4 = e3 & op(e3, e1) = e3
% 192.36/30.75  | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | ALPHA: (20804) implies:
% 192.36/30.75  | | | | | | | | | | | | | |   (20805)  op(e3, e1) = e3
% 192.36/30.75  | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | REF_CLOSE: (169), (20800), (20805), (function-axioms) are
% 192.36/30.75  | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 192.36/30.75  | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | |   (20806)  all_56_9 = e3 & op(e3, e0) = e3
% 192.36/30.75  | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | ALPHA: (20806) implies:
% 192.36/30.75  | | | | | | | | | | | | | |   (20807)  op(e3, e0) = e3
% 192.36/30.75  | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 192.36/30.75  | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | |   (20808)   ~ (all_28_2 = e2)
% 192.36/30.75  | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | REDUCE: (330), (20808) imply:
% 192.36/30.75  | | | | | | | | | | | | | | |   (20809)   ~ (all_14_2 = e2)
% 192.36/30.75  | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.36/30.75  | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | |   (20810)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.36/30.75  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.75  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.36/30.75  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.36/30.75  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.75  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.75  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.75  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.36/30.75  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.75  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.75  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.75  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.36/30.75  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.36/30.75  | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.75  | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.75  | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.36/30.75  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.36/30.75  | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.75  | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | BETA: splitting (20810) gives:
% 192.36/30.75  | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | |   (20811)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | BETA: splitting (20811) gives:
% 192.36/30.75  | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | |   (20812)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (20377), (20812),
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            #195.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | |   (20813)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | BETA: splitting (20813) gives:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |   (20814)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | ALPHA: (20814) implies:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |   (20815)  op(e3, e3) = e1
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20383), (20815), (function-axioms) are
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |   (20816)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | ALPHA: (20816) implies:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |   (20817)  op(e1, e3) = e1
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (51), (91), (100), (117), (141),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (143), (144), (145), (148), (149), (157), (158),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (192), (196), (211),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (216), (218), (219), (220), (221), (224), (229),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (230), (231), (234), (235), (238), (239), (246),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (249), (259), (351), (362), (369), (370), (371),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (372), (18027), (18028), (18030), (18031),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (18033), (18034), (18039), (20371), (20373),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (20374), (20375), (20376), (20377), (20378),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (20379), (20383), (20384), (20386), (20801),
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            (20809), (20817), (function-axioms) are
% 192.36/30.75  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #85.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | |   (20818)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.36/30.75  | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | BETA: splitting (20818) gives:
% 192.36/30.75  | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | |   (20819)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (20383), (20807), (20819),
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            #809.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | |   (20820)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.36/30.75  | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18039), (20801), (20820),
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.75  | | | | | | | | | | | | | | | | | |            #151.
% 192.36/30.75  | | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | | End of split
% 192.36/30.75  | | | | | | | | | | | | | | | | 
% 192.36/30.75  | | | | | | | | | | | | | | | Case 2:
% 192.36/30.75  | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | |   (20821)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.76  | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.76  | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.76  | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.76  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.76  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.36/30.76  | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.76  | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.76  | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.76  | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.76  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.36/30.76  | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.36/30.76  | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.36/30.76  | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.36/30.76  | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.36/30.76  | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.36/30.76  | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.36/30.76  | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.36/30.76  | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.36/30.76  | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.36/30.76  | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.36/30.76  | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.36/30.76  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.76  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.36/30.76  | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.36/30.76  | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.36/30.76  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.76  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.36/30.76  | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.36/30.76  | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.36/30.76  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.76  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.36/30.76  | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | BETA: splitting (20821) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | |   (20822)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.76  | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.76  | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | BETA: splitting (20822) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | |   (20823)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | BETA: splitting (20823) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20824)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | ALPHA: (20824) implies:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20825)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (202), (271), (20378), (20383), (20800),
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            (20807), (20825), (function-axioms) are
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20826)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | ALPHA: (20826) implies:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20827)  op(e0, e0) = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (20384), (20386), (20809),
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            (20827), (function-axioms) are inconsistent by
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            sub-proof #1643.
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | |   (20828)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | BETA: splitting (20828) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20829)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | ALPHA: (20829) implies:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20830)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (202), (271), (20378), (20383), (20800),
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            (20807), (20830), (function-axioms) are
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20831)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | ALPHA: (20831) implies:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20832)  op(e0, e0) = e1
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (20384), (20386), (20809),
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            (20832), (function-axioms) are inconsistent by
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            sub-proof #1641.
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | End of split
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | End of split
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | |   (20833)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.36/30.76  | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.76  | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | BETA: splitting (20833) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | |   (20834)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (20383), (20834), (function-axioms)
% 192.36/30.76  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #84.
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | |   (20835)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.36/30.76  | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (202), (271), (20378), (20383), (20800),
% 192.36/30.76  | | | | | | | | | | | | | | | | | |            (20801), (20807), (20835), (function-axioms) are
% 192.36/30.76  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #730.
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | End of split
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | End of split
% 192.36/30.76  | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | End of split
% 192.36/30.76  | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | Case 2:
% 192.36/30.76  | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | |   (20836)  all_28_2 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | COMBINE_EQS: (330), (20836) imply:
% 192.36/30.76  | | | | | | | | | | | | | | |   (20837)  all_14_2 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | SIMP: (20837) implies:
% 192.36/30.76  | | | | | | | | | | | | | | |   (20838)  all_14_2 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | REDUCE: (362), (20838) imply:
% 192.36/30.76  | | | | | | | | | | | | | | |   (20839)   ~ (all_52_7 = e2)
% 192.36/30.76  | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | REDUCE: (369), (20838) imply:
% 192.36/30.76  | | | | | | | | | | | | | | |   (20840)   ~ (all_52_11 = e2)
% 192.36/30.76  | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | REDUCE: (20386), (20838) imply:
% 192.36/30.76  | | | | | | | | | | | | | | |   (20841)   ~ (e3 = e2)
% 192.36/30.76  | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | REDUCE: (51), (20838) imply:
% 192.36/30.76  | | | | | | | | | | | | | | |   (20842)  op(e0, e0) = e2
% 192.36/30.76  | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | |   (20843)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.36/30.76  | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (18039), (20377), (20843),
% 192.36/30.76  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.76  | | | | | | | | | | | | | | | |            #103.
% 192.36/30.76  | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | Case 2:
% 192.36/30.76  | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | |   (20844)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 192.36/30.76  | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 192.36/30.76  | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | BETA: splitting (20844) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | |   (20845)  all_56_7 = e2 & op(e1, e2) = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | ALPHA: (20845) implies:
% 192.36/30.76  | | | | | | | | | | | | | | | | |   (20846)  op(e1, e2) = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | |   (20847)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | BETA: splitting (20847) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20848)  all_56_4 = e2 & op(e3, e1) = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (20378), (20848), (function-axioms) are
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20849)  all_56_5 = e2 & op(e2, e1) = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | ALPHA: (20849) implies:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20850)  op(e2, e1) = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (20846) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20851)  all_52_6 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (20850) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | |   (20852)  all_52_9 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |   (20853)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20853) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |   (20854)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20854) gives:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | |   (20855)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (167), (20850), (20855),
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | |            #90.
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |   (20856)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20801), (20856), (function-axioms) are
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #133.
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |   (20857)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20857) gives:
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |   (20858)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20383), (20858), (function-axioms) are
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #798.
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |   (20859)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18039), (20846), (20859),
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |            #127.
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |   (20860)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20860) gives:
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |   (20861)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20861) gives:
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |   (20862)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20383), (20842), (20862), (function-axioms)
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #811.
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |   (20863)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.77/30.76  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20863) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |   (20864)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20864) implies:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |   (20865)  op(e0, e0) = e1
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20842), (20865), (function-axioms) are
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |   (20866)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (20801), (20866), (function-axioms)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #153.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |   (20867)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20867) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |   (20868)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20383), (20868), (function-axioms) are
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |   (20869)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20869) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |   (20870)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20870) implies:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |   (20871)  op(e2, e0) = e2
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (165), (20850), (20871),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |            #1887.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |   (20872)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20872) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |   (20873)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20873) implies:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |   (20874)  op(e2, e2) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (20874), (function-axioms) are
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |   (20875)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20875) implies:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |   (20876)  op(e0, e0) = all_57_15
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |   (20877)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20877) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (20878)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20878) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20879)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20879) implies:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20880)   ~ (all_57_15 = e3)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20881)  op(e0, e3) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (140), (158), (159),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (202), (239), (271), (18030), (18039),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            (20377), (20378), (20383), (20800), (20801),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            (20807), (20842), (20846), (20876), (20880),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            (20881), (function-axioms) are inconsistent by
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #83.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20882)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20882) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20883)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20883) implies:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20884)   ~ (all_57_15 = e3)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20885)  op(e0, e3) = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (140), (158), (159),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (202), (239), (271), (18030), (18039),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20377), (20378), (20383), (20800), (20801),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20807), (20842), (20846), (20876), (20884),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20885), (function-axioms) are inconsistent by
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #83.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20886)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20886) implies:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (20887)   ~ (all_57_15 = e2)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20842), (20876), (20887), (function-axioms) are
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #748.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (20888)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18039), (20383), (20842), (20876),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (20888), (function-axioms) are inconsistent by
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #99.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | |   (20889)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 192.77/30.77  | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (20801), (20840), (20889),
% 192.77/30.77  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.77  | | | | | | | | | | | | | | | | | |            #685.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | |   (20890)  all_56_13 = e2 & op(e0, e2) = e2
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | ALPHA: (20890) implies:
% 192.77/30.77  | | | | | | | | | | | | | | | | |   (20891)  op(e0, e2) = e2
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (20839), (20891), (function-axioms) are
% 192.77/30.77  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | |   (20892)  all_18_2 = e3
% 192.77/30.77  | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | COMBINE_EQS: (301), (20892) imply:
% 192.77/30.77  | | | | | | | | | | |   (20893)  all_14_2 = e3
% 192.77/30.77  | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | SIMP: (20893) implies:
% 192.77/30.77  | | | | | | | | | | |   (20894)  all_14_2 = e3
% 192.77/30.77  | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | REDUCE: (351), (20894) imply:
% 192.77/30.77  | | | | | | | | | | |   (20895)   ~ (all_52_3 = e3)
% 192.77/30.77  | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | REDUCE: (370), (20894) imply:
% 192.77/30.77  | | | | | | | | | | |   (20896)   ~ (all_52_12 = e3)
% 192.77/30.77  | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | REDUCE: (51), (20894) imply:
% 192.77/30.77  | | | | | | | | | | |   (20897)  op(e0, e0) = e3
% 192.77/30.77  | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | BETA: splitting (235) gives:
% 192.77/30.77  | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | |   (20898)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 192.77/30.77  | | | | | | | | | | | |              & op(e2, e3) = e3)
% 192.77/30.77  | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | REF_CLOSE: (9), (167), (18029), (20383), (20898),
% 192.77/30.77  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.77  | | | | | | | | | | | |            #87.
% 192.77/30.77  | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | |   (20899)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 192.77/30.77  | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 192.77/30.77  | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | BETA: splitting (20899) gives:
% 192.77/30.77  | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | |   (20900)  all_56_6 = e3 & op(e1, e3) = e3
% 192.77/30.77  | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | ALPHA: (20900) implies:
% 192.77/30.77  | | | | | | | | | | | | |   (20901)  all_56_6 = e3
% 192.77/30.77  | | | | | | | | | | | | |   (20902)  op(e1, e3) = e3
% 192.77/30.77  | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.77/30.77  | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | |   (20903)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.77/30.77  | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 192.77/30.77  | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (18030), (20383), (20903),
% 192.77/30.77  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.77  | | | | | | | | | | | | | |            #826.
% 192.77/30.77  | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | |   (20904)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.77/30.77  | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 192.77/30.77  | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | BETA: splitting (20904) gives:
% 192.77/30.77  | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | |   (20905)  all_56_4 = e3 & op(e3, e1) = e3
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | ALPHA: (20905) implies:
% 192.77/30.77  | | | | | | | | | | | | | | |   (20906)  all_56_4 = e3
% 192.77/30.77  | | | | | | | | | | | | | | |   (20907)  op(e3, e1) = e3
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 192.77/30.77  | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (20902) gives:
% 192.77/30.77  | | | | | | | | | | | | | | |   (20908)  all_52_2 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 192.77/30.77  | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (20907) gives:
% 192.77/30.77  | | | | | | | | | | | | | | |   (20909)  all_52_8 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | REDUCE: (143), (20908) imply:
% 192.77/30.77  | | | | | | | | | | | | | | |   (20910)   ~ (all_52_6 = e3)
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | REDUCE: (141), (20908) imply:
% 192.77/30.77  | | | | | | | | | | | | | | |   (20911)   ~ (all_52_14 = e3)
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | SIMP: (20911) implies:
% 192.77/30.77  | | | | | | | | | | | | | | |   (20912)   ~ (all_52_14 = e3)
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | REDUCE: (123), (20909) imply:
% 192.77/30.77  | | | | | | | | | | | | | | |   (20913)   ~ (all_52_9 = e3)
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | REDUCE: (363), (20909) imply:
% 192.77/30.77  | | | | | | | | | | | | | | |   (20914)   ~ (all_10_2 = e3)
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | SIMP: (20914) implies:
% 192.77/30.77  | | | | | | | | | | | | | | |   (20915)   ~ (all_10_2 = e3)
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | |   (20916)   ~ (all_22_2 = e0)
% 192.77/30.77  | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | REDUCE: (251), (20916) imply:
% 192.77/30.77  | | | | | | | | | | | | | | | |   (20917)   ~ (all_10_2 = e0)
% 192.77/30.77  | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | |   (20918)  all_54_10 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (20915), (20918) are inconsistent by
% 192.77/30.77  | | | | | | | | | | | | | | | | |            sub-proof #983.
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | |   (20919)   ~ (all_54_10 = e3)
% 192.77/30.77  | | | | | | | | | | | | | | | | |   (20920)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | |   (20921)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | BETA: splitting (20921) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |   (20922)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (20922) gives:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |   (20923)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (20377), (20923),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |            #195.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |   (20924)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (20383), (20907), (20924),
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | |            #637.
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.77  | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.77  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |   (20925)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (20925) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |   (20926)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20926) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20927)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20927) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20928)  op(e3, e3) = e0
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20383), (20928), (function-axioms) are
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20929)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20929) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20930)  all_57_15 = e3
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20931)  op(e0, e3) = e0
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20932)  op(e3, e0) = e0
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20933)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (45), (140), (158), (159), (160), (162),
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            (167), (238), (336), (361), (368), (18039),
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            (18041), (20374), (20383), (20897), (20915),
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            (20917), (20920), (20930), (20931), (20932),
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            (20933), (function-axioms) are inconsistent by
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            sub-proof #100.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |   (20934)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20934) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20935)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20935) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20936)  op(e2, e2) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (20936), (function-axioms) are
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20937)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20937) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20938)  op(e1, e1) = e2
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20920) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |   (20939)  all_54_10 = e2
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (18041), (20939) are inconsistent by
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #982.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |   (20940)   ~ (all_54_10 = e2)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |   (20941)  all_54_10 = e1 | all_54_10 = e0
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (336), (18041), (20917), (20938), (20941),
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |            #210.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | |   (20942)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | BETA: splitting (20942) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |   (20943)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (20943) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |   (20944)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (18039), (20897), (20944),
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |            #82.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |   (20945)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20945) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20946)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20946) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20947)  op(e1, e1) = e0
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (336), (18041), (20917), (20920), (20947),
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            #81.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20948)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20948) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20949)  op(e0, e0) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20897), (20949), (function-axioms) are
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |   (20950)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (20950) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |   (20951)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (20383), (20951), (function-axioms)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #84.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |   (20952)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20952) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20953)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20953) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20954)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20954) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |   (20955)  all_57_10 = e1 & op(e3, e3) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20955) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |   (20956)  op(e3, e3) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20383), (20956), (function-axioms) are
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |   (20957)   ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20957) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |   (20958)   ~ (all_57_6 = e3)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |   (20959)  op(e3, e1) = all_57_6
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20907), (20958), (20959), (function-axioms) are
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #675.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20960)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20960) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20961)  op(e0, e0) = e0
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20897), (20961), (function-axioms) are
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | |   (20962)  all_22_2 = e0
% 192.77/30.78  | | | | | | | | | | | | | | | |   (20963)  ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0
% 192.77/30.78  | | | | | | | | | | | | | | | |              & op(e1, e0) = all_22_1 & $i(all_22_0) &
% 192.77/30.78  | | | | | | | | | | | | | | | |              $i(all_22_1)) | ( ~ (all_22_1 = e3) & op(e1, e0)
% 192.77/30.78  | | | | | | | | | | | | | | | |              = all_22_1 & $i(all_22_1))
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (20962) imply:
% 192.77/30.78  | | | | | | | | | | | | | | | |   (20964)  all_10_2 = e0
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | SIMP: (20964) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | |   (20965)  all_10_2 = e0
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | COMBINE_EQS: (333), (20965) imply:
% 192.77/30.78  | | | | | | | | | | | | | | | |   (20966)  all_38_2 = e0
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | REDUCE: (366), (20965) imply:
% 192.77/30.78  | | | | | | | | | | | | | | | |   (20967)   ~ (all_52_11 = e0)
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | REDUCE: (368), (20965) imply:
% 192.77/30.78  | | | | | | | | | | | | | | | |   (20968)   ~ (all_52_14 = e0)
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | REDUCE: (20915), (20965) imply:
% 192.77/30.78  | | | | | | | | | | | | | | | |   (20969)   ~ (e3 = e0)
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | REDUCE: (18041), (20965) imply:
% 192.77/30.78  | | | | | | | | | | | | | | | |   (20970)   ~ (e2 = e0)
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | REDUCE: (45), (20965) imply:
% 192.77/30.78  | | | | | | | | | | | | | | | |   (20971)  op(e1, e1) = e0
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | |   (20972)   ~ (all_38_2 = e0)
% 192.77/30.78  | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | REDUCE: (20966), (20972) imply:
% 192.77/30.78  | | | | | | | | | | | | | | | | |   (20973)  $false
% 192.77/30.78  | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | CLOSE: (20973) is inconsistent.
% 192.77/30.78  | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | |   (20974)  ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0
% 192.77/30.78  | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_38_1 & $i(all_38_0) &
% 192.77/30.78  | | | | | | | | | | | | | | | | |              $i(all_38_1)) | ( ~ (all_38_1 = e2) & op(e1, e0)
% 192.77/30.78  | | | | | | | | | | | | | | | | |              = all_38_1 & $i(all_38_1))
% 192.77/30.78  | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | |   (20975)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (18039), (20374), (20975),
% 192.77/30.78  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.78  | | | | | | | | | | | | | | | | | |            #212.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | |   (20976)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | BETA: splitting (20976) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |   (20977)  all_56_5 = e2 & op(e2, e1) = e2
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | ALPHA: (20977) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | |   (20978)  op(e2, e1) = e2
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |   (20979)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20979) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20980)  all_56_4 = e1 & op(e3, e1) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20980) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20981)  op(e3, e1) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20907), (20981), (function-axioms) are
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20982)  all_56_5 = e1 & op(e2, e1) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20982) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20983)  op(e2, e1) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20978), (20983), (function-axioms) are
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |   (20984)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (20984) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20985)  all_56_8 = e1 & op(e1, e1) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20985) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20986)  op(e1, e1) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20971), (20986), (function-axioms) are
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20987)  all_56_14 = e1 & op(e0, e1) = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (20987) implies:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | |   (20988)  all_56_14 = e1
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.78  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | |   (20989)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20989) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |   (20990)  all_56_12 = e2 & op(e0, e3) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (20376), (20990), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |   (20991)  all_56_13 = e2 & op(e0, e2) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20991) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |   (20992)  all_56_13 = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |   (20993)  op(e0, e2) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |   (20994)  all_56_15 = e0 & op(e0, e0) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20994) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |   (20995)  op(e0, e0) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20897), (20995), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |   (20996)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20996) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |   (20997)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (20998)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20998) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (20999)  all_56_1 = e0 & op(e3, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (20999) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21000)  all_56_1 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21001)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (20383), (21000), (21001),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #606.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21002)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21002) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21003)  all_56_4 = e1 & op(e3, e1) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21003) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21004)  op(e3, e1) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20907), (21004), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21005)  all_56_9 = e1 & op(e3, e0) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21005) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21006)  op(e3, e0) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21007)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (18039), (21000), (21007),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #80.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21008)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21008) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21009)  all_56_7 = e1 & op(e1, e2) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21009) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21010)  all_56_7 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21011)  op(e1, e2) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21012)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21012) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21013)  all_56_6 = e2 & op(e1, e3) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21013) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21014)  all_56_6 = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (162), (216), (18031), (20912),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20971), (21014), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1405.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21015)  all_56_7 = e2 & op(e1, e2) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21015) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21016)  op(e1, e2) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (21011), (21016), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21017)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21017) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21018)  all_56_8 = e2 & op(e1, e1) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21018) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21019)  op(e1, e1) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20971), (21019), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21020)  all_56_11 = e2 & op(e1, e0) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21020) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21021)  all_56_11 = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21022)  op(e1, e0) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20997) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21023)  all_56_12 = e0 & op(e0, e3) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21023) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21024)  all_56_12 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21025)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21025) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21026)  all_56_0 = e1 & op(e3, e3) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21026) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21027)  op(e3, e3) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20383), (21027), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21028)  all_56_2 = e1 & op(e2, e3) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21028) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21029)  all_56_2 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21030)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21030) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21031)  all_56_2 = e0 & op(e2, e3) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21031) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21032)  all_56_2 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21029), (21032) imply:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21033)  e1 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21010), (21033) imply:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21034)  all_56_7 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (20375), (20971), (21034),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #750.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21035)  all_56_3 = e0 & op(e2, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21035) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21036)  op(e2, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21036), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21037)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21037) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21038)  all_56_5 = e0 & op(e2, e1) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21038) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21039)  all_56_5 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (20906), (20971), (20988),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21039), (function-axioms) are inconsistent by
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1553.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21040)  all_56_10 = e0 & op(e2, e0) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21040) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21041)  all_56_10 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20963) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21042)   ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_22_1 & $i(all_22_0) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21042) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21043)  op(e1, e0) = all_22_1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (117), (160), (163),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (170), (214), (215), (216), (218),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (223), (224), (229), (231),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (239), (18030), (20375), (20377), (20383),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20897), (20901), (20907), (20968), (20971),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20974), (20978), (20993), (21006), (21010),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21011), (21022), (21024), (21029), (21041),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21043), (function-axioms) are inconsistent by
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #79.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21044)   ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21044) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21045)  op(e1, e0) = all_22_1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (117), (160), (163),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (170), (214), (215), (216), (218),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (223), (224), (229), (231),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (239), (18030), (20375), (20377), (20383),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20897), (20901), (20907), (20968), (20971),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20974), (20978), (20993), (21006), (21010),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21011), (21022), (21024), (21029), (21041),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21045), (function-axioms) are inconsistent by
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #79.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21046)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21046) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21047)  all_56_6 = e1 & op(e1, e3) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21047) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21048)  all_56_6 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (20971), (21010), (21021),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21048), (function-axioms) are inconsistent by
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1617.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21049)  all_56_12 = e1 & op(e0, e3) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21049) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21050)  all_56_12 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21024), (21050) imply:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21051)  e1 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21051) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21052)  e1 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21010), (21052) imply:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21053)  all_56_7 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (20375), (20971), (21053),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #750.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21054)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21054) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21055)  all_56_13 = e0 & op(e0, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21055) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21056)  op(e0, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20993), (21056), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21057)  all_56_14 = e0 & op(e0, e1) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21057) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21058)  op(e0, e1) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (20967), (21058), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21059)  all_56_13 = e1 & op(e0, e2) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20992), (21059) are inconsistent by
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1205.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21060)  all_56_3 = e0 & op(e2, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21060) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21061)  op(e2, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21061), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (21062)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21062) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21063)  all_56_7 = e0 & op(e1, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21063) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21064)  all_56_7 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (20375), (20971), (21064),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |            #750.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21065)  all_56_13 = e0 & op(e0, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21065) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21066)  op(e0, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20993), (21066), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | |   (21067)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (20897), (20988), (21067),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | |            #1385.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | |   (21068)  all_56_10 = e2 & op(e2, e0) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | ALPHA: (21068) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | |   (21069)  all_56_10 = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | |   (21070)  op(e2, e0) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |   (21071)  all_56_15 = e0 & op(e0, e0) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | ALPHA: (21071) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |   (21072)  op(e0, e0) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20897), (21072), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |   (21073)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | ALPHA: (21073) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |   (21074)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | |   (21075)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21075) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | |   (21076)  all_56_2 = e0 & op(e2, e3) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21076) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | |   (21077)  all_56_2 = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |   (21078)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (20383), (21077), (21078),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |            #594.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |   (21079)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21079) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |   (21080)  all_56_6 = e1 & op(e1, e3) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21080) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |   (21081)  all_56_6 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20901), (21081) are inconsistent by
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |   (21082)  all_56_12 = e1 & op(e0, e3) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21082) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | |   (21083)  all_56_12 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21074) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (21084)  all_56_12 = e0 & op(e0, e3) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21083), (21084) are inconsistent by
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1697.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (21085)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21085) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21086)  all_56_13 = e0 & op(e0, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21086) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21087)  op(e0, e2) = e0
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21088)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (18039), (20377), (21088),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #103.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21089)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21089) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21090)  all_56_7 = e2 & op(e1, e2) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21090) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21091)  op(e1, e2) = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21092)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21092) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21093)  all_56_6 = e1 & op(e1, e3) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21093) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21094)  all_56_6 = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (160), (216), (20912), (20971),
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21091), (21094), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #668.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21095)  all_56_7 = e1 & op(e1, e2) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21095) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21096)  op(e1, e2) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (21091), (21096), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21097)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21097) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21098)  all_56_8 = e1 & op(e1, e1) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21098) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21099)  op(e1, e1) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20971), (21099), (function-axioms) are
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21100)  all_56_11 = e1 & op(e1, e0) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21100) implies:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21101)  op(e1, e0) = e1
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21102)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21102) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21103)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21103) gives:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21104)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21104) gives:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21105)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21105) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21106)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (20897), (21087), (21106), (function-axioms)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1028.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21107)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21107) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21108)  op(e3, e2) = e2
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (20377), (21108), (function-axioms) are
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #825.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21109)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21109) gives:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21110)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21110) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21111)  op(e3, e3) = e1
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20383), (21111), (function-axioms) are
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21112)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21112) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21113)  op(e1, e3) = e1
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (21101), (21113),
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #303.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21114)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21114) gives:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21115)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (140), (158), (159), (20383), (21087),
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21115), (function-axioms) are inconsistent by
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #86.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21116)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (164), (165), (224), (18033),
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18034), (21077), (21091), (21116),
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #78.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21117)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21117) gives:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21118)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21118) gives:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21119)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (20897), (21087), (21119),
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #304.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21120)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21120) gives:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21121)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21121) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21122)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21070), (21122), (function-axioms)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #165.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21123)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21123) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21124)  op(e1, e0) = e0
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21101), (21124), (function-axioms) are
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21125)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21125) gives:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21126)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21126) gives:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21127)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21127) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21128)  op(e3, e3) = e3
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20901), (21083), (21128), (function-axioms) are
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1542.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21129)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21129) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21130)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (20897), (21087), (21130), (function-axioms)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1028.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21131)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (20897), (20971), (21131),
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #652.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21132)  all_56_13 = e2 & op(e0, e2) = e2
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21132) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21133)  op(e0, e2) = e2
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21087), (21133), (function-axioms) are
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21134)  all_56_14 = e0 & op(e0, e1) = e0
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21134) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21135)  op(e0, e1) = e0
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (20967), (21135), (function-axioms) are
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | |   (21136)  all_56_3 = e0 & op(e2, e2) = e0
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21136) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | |   (21137)  op(e2, e2) = e0
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21137), (function-axioms) are
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | |   (21138)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21138) gives:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | |   (21139)  all_56_5 = e0 & op(e2, e1) = e0
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21139) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | |   (21140)  all_56_5 = e0
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | |            (20971), (21140), (function-axioms) are
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1551.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | |   (21141)  all_56_10 = e0 & op(e2, e0) = e0
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21141) implies:
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | |   (21142)  all_56_10 = e0
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21069), (21142) are inconsistent by
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1342.
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | |   (21143)  all_56_9 = e3 & op(e3, e0) = e3
% 192.77/30.80  | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | ALPHA: (21143) implies:
% 192.77/30.80  | | | | | | | | | | | | | | |   (21144)  op(e3, e0) = e3
% 192.77/30.80  | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | | REF_CLOSE: (168), (20896), (21144), (function-axioms) are
% 192.77/30.80  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 192.77/30.80  | | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | |   (21145)  all_56_12 = e3 & op(e0, e3) = e3
% 192.77/30.80  | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | ALPHA: (21145) implies:
% 192.77/30.80  | | | | | | | | | | | | |   (21146)  op(e0, e3) = e3
% 192.77/30.80  | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | | REF_CLOSE: (159), (20895), (21146), (function-axioms) are
% 192.77/30.80  | | | | | | | | | | | | |            inconsistent by sub-proof #323.
% 192.77/30.80  | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | End of split
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | Case 2:
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | |   (21147)  all_14_2 = e1
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | REDUCE: (351), (21147) imply:
% 192.77/30.80  | | | | | | | | | |   (21148)   ~ (all_52_3 = e1)
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | REDUCE: (362), (21147) imply:
% 192.77/30.80  | | | | | | | | | |   (21149)   ~ (all_52_7 = e1)
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | REDUCE: (369), (21147) imply:
% 192.77/30.80  | | | | | | | | | |   (21150)   ~ (all_52_11 = e1)
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | REDUCE: (370), (21147) imply:
% 192.77/30.80  | | | | | | | | | |   (21151)   ~ (all_52_12 = e1)
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | REDUCE: (371), (21147) imply:
% 192.77/30.80  | | | | | | | | | |   (21152)   ~ (all_52_13 = e1)
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | REDUCE: (372), (21147) imply:
% 192.77/30.80  | | | | | | | | | |   (21153)   ~ (all_52_14 = e1)
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | REDUCE: (51), (21147) imply:
% 192.77/30.80  | | | | | | | | | |   (21154)  op(e0, e0) = e1
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | BETA: splitting (61) gives:
% 192.77/30.80  | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | |   (21155)   ~ (all_20_2 = e3)
% 192.77/30.80  | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | REDUCE: (325), (21155) imply:
% 192.77/30.80  | | | | | | | | | | |   (21156)   ~ (all_10_2 = e3)
% 192.77/30.80  | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | BETA: splitting (64) gives:
% 192.77/30.80  | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | |   (21157)   ~ (all_22_2 = e0)
% 192.77/30.80  | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | REDUCE: (251), (21157) imply:
% 192.77/30.80  | | | | | | | | | | | |   (21158)   ~ (all_10_2 = e0)
% 192.77/30.80  | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | BETA: splitting (194) gives:
% 192.77/30.80  | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | Case 1:
% 192.77/30.80  | | | | | | | | | | | | | 
% 192.77/30.80  | | | | | | | | | | | | |   (21159)  all_54_10 = e3
% 192.77/30.80  | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | REF_CLOSE: (336), (21156), (21159) are inconsistent by
% 192.77/30.81  | | | | | | | | | | | | |            sub-proof #983.
% 192.77/30.81  | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | Case 2:
% 192.77/30.81  | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | |   (21160)   ~ (all_54_10 = e3)
% 192.77/30.81  | | | | | | | | | | | | |   (21161)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 192.77/30.81  | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | BETA: splitting (21161) gives:
% 192.77/30.81  | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | Case 1:
% 192.77/30.81  | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | |   (21162)  all_54_10 = e2
% 192.77/30.81  | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | REF_CLOSE: (336), (18041), (21162) are inconsistent by
% 192.77/30.81  | | | | | | | | | | | | | |            sub-proof #982.
% 192.77/30.81  | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | Case 2:
% 192.77/30.81  | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | |   (21163)   ~ (all_54_10 = e2)
% 192.77/30.81  | | | | | | | | | | | | | |   (21164)  all_54_10 = e1 | all_54_10 = e0
% 192.77/30.81  | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | BETA: splitting (21164) gives:
% 192.77/30.81  | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | Case 1:
% 192.77/30.81  | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | |   (21165)  all_54_10 = e1
% 192.77/30.81  | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | COMBINE_EQS: (336), (21165) imply:
% 192.77/30.81  | | | | | | | | | | | | | | |   (21166)  all_10_2 = e1
% 192.77/30.81  | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | SIMP: (21166) implies:
% 192.77/30.81  | | | | | | | | | | | | | | |   (21167)  all_10_2 = e1
% 192.77/30.81  | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | REDUCE: (350), (21167) imply:
% 192.77/30.81  | | | | | | | | | | | | | | |   (21168)   ~ (all_52_2 = e1)
% 192.77/30.81  | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | REDUCE: (361), (21167) imply:
% 192.77/30.81  | | | | | | | | | | | | | | |   (21169)   ~ (all_52_6 = e1)
% 192.77/30.81  | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | REDUCE: (21156), (21167) imply:
% 192.77/30.81  | | | | | | | | | | | | | | |   (21170)   ~ (e3 = e1)
% 192.77/30.81  | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | REDUCE: (18041), (21167) imply:
% 192.77/30.81  | | | | | | | | | | | | | | |   (21171)   ~ (e2 = e1)
% 192.77/30.81  | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | REDUCE: (45), (21167) imply:
% 192.77/30.81  | | | | | | | | | | | | | | |   (21172)  op(e1, e1) = e1
% 192.77/30.81  | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.77/30.81  | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | Case 1:
% 192.77/30.81  | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | |   (21173)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.77/30.81  | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.77/30.81  | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | BETA: splitting (21173) gives:
% 192.77/30.81  | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.81  | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | |   (21174)  all_56_1 = e1 & op(e3, e2) = e1
% 192.77/30.81  | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | ALPHA: (21174) implies:
% 192.77/30.81  | | | | | | | | | | | | | | | | |   (21175)  op(e3, e2) = e1
% 192.77/30.81  | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 192.77/30.81  | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.81  | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | |   (21176)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 192.77/30.81  | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 192.77/30.81  | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | | BETA: splitting (21176) gives:
% 192.77/30.81  | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | | |   (21177)  all_56_0 = e1 & op(e3, e3) = e1
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | ALPHA: (21177) implies:
% 192.77/30.81  | | | | | | | | | | | | | | | | | | |   (21178)  op(e3, e3) = e1
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (20383), (21178), (function-axioms) are
% 192.77/30.81  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | | Case 2:
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | | |   (21179)  all_56_2 = e1 & op(e2, e3) = e1
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | ALPHA: (21179) implies:
% 192.77/30.81  | | | | | | | | | | | | | | | | | | |   (21180)  op(e2, e3) = e1
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | 
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.77/30.81  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | |   (21181)   ~ (all_46_2 = e2)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | REDUCE: (20373), (21181) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | |   (21182)  $false
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | CLOSE: (21182) is inconsistent.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | |   (21183)  ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_46_1 & $i(all_46_0) &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | |              $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e3, e2)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | |              = all_46_1 & $i(all_46_1))
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (21183) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | |   (21184)   ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_46_1 & $i(all_46_0) &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | |            $i(all_46_1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (21184) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | |   (21185)   ~ (all_46_0 = e1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | |   (21186)  op(e3, e2) = all_46_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | |   (21187)  op(all_46_1, e3) = all_46_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20371) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21188)   ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_12_1 & $i(all_12_0) &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |            $i(all_12_1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21188) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21189)   ~ (all_12_0 = e0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21190)  op(e3, e2) = all_12_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21191)  op(all_12_1, e3) = all_12_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18027) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21192)   ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21192) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21193)   ~ (all_4_0 = e0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21194)  op(e2, e3) = all_4_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21195)  op(all_4_1, e2) = all_4_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_4_1,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (21180), (21194) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21196)  all_4_1 = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (21175), (21186) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21197)  all_46_1 = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              all_46_1, e2, e3, simplifying with (21186),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              (21190) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21198)  all_46_1 = all_12_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21197), (21198) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21199)  all_12_1 = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21199) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21200)  all_12_1 = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21187), (21197) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21201)  op(e1, e3) = all_46_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21191), (21200) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21202)  op(e1, e3) = all_12_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21195), (21196) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21203)  op(e1, e2) = all_4_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              all_4_0, e2, e1, simplifying with (162), (21203)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21204)  all_52_6 = all_4_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              all_12_0, e3, e1, simplifying with (163), (21202)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21205)  all_52_2 = all_12_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              all_46_0, e3, e1, simplifying with (163), (21201)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21206)  all_52_2 = all_46_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21205), (21206) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21207)  all_46_0 = all_12_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (21204) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21208)  all_54_9 = all_4_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (21205) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21209)  all_54_8 = all_12_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (21205) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21210)   ~ (all_52_3 = all_12_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21210) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21211)   ~ (all_52_3 = all_12_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (21204), (21205) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21212)   ~ (all_12_0 = all_4_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (21205) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21213)   ~ (all_52_14 = all_12_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21213) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21214)   ~ (all_52_14 = all_12_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20375), (21205) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21215)   ~ (all_12_0 = e2)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21204) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21216)   ~ (all_52_7 = all_4_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21216) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21217)   ~ (all_52_7 = all_4_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18031), (21204) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21218)   ~ (all_4_0 = e3)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21169), (21204) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21219)   ~ (all_4_0 = e1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21185), (21207) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21220)   ~ (all_12_0 = e1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | |   (21221)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21221) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21222)  all_56_6 = e0 & op(e1, e3) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21222) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21223)  all_56_6 = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (162), (196), (216), (18031), (21172),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21189), (21209), (21214), (21215), (21220),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21223), (function-axioms) are inconsistent by
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #77.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21224)  all_56_7 = e0 & op(e1, e2) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (158), (170), (195), (227), (18039),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (20377), (21193), (21208), (21217), (21218),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21219), (21224), (function-axioms) are
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #76.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | |   (21225)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21225) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21226)  all_56_8 = e0 & op(e1, e1) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21226) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21227)  op(e1, e1) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21172), (21227), (function-axioms) are
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21228)  all_56_11 = e0 & op(e1, e0) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21228) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21229)  op(e1, e0) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (140), (160), (191), (192), (195), (196),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (248), (249), (258), (18032), (20376), (21148),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21149), (21169), (21189), (21208), (21209),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21211), (21212), (21215), (21217), (21220),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21229), (function-axioms) are inconsistent by
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21230)   ~ (all_4_1 = e1) & op(e2, e3) = all_4_1 &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_4_1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21230) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21231)   ~ (all_4_1 = e1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21232)  op(e2, e3) = all_4_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_4_1,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (21180), (21232) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21233)  all_4_1 = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21231), (21233) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21234)  $false
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21234) is inconsistent.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21235)   ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |            $i(all_12_1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21235) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21236)   ~ (all_12_1 = e1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21237)  op(e3, e2) = all_12_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21175), (21186), (21236), (21237),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |            #609.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | |   (21238)   ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | |            $i(all_46_1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (21238) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | |   (21239)   ~ (all_46_1 = e0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | |   (21240)  op(e3, e2) = all_46_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20371) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21241)   ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_12_1 & $i(all_12_0) &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |            $i(all_12_1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21241) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21242)   ~ (all_12_0 = e0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21243)  op(e3, e2) = all_12_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21244)  op(all_12_1, e3) = all_12_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18027) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21245)   ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21245) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21246)   ~ (all_4_0 = e0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21247)  op(e2, e3) = all_4_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21248)  op(all_4_1, e2) = all_4_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_4_1,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (21180), (21247) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21249)  all_4_1 = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (21175), (21240) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21250)  all_46_1 = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              all_46_1, e2, e3, simplifying with (21240),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              (21243) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21251)  all_46_1 = all_12_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21250), (21251) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21252)  all_12_1 = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21252) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21253)  all_12_1 = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21244), (21253) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21254)  op(e1, e3) = all_12_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21248), (21249) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21255)  op(e1, e2) = all_4_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              all_4_0, e2, e1, simplifying with (162), (21255)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21256)  all_52_6 = all_4_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              all_12_0, e3, e1, simplifying with (163), (21254)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21257)  all_52_2 = all_12_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (21256) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21258)  all_54_9 = all_4_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (21257) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21259)  all_54_8 = all_12_0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (21257) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21260)   ~ (all_52_3 = all_12_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21260) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21261)   ~ (all_52_3 = all_12_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (21256), (21257) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21262)   ~ (all_12_0 = all_4_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (21257) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21263)   ~ (all_52_14 = all_12_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21263) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21264)   ~ (all_52_14 = all_12_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20375), (21257) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21265)   ~ (all_12_0 = e2)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21168), (21257) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21266)   ~ (all_12_0 = e1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (21256) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21267)   ~ (all_52_7 = all_4_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21267) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21268)   ~ (all_52_7 = all_4_0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18031), (21256) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21269)   ~ (all_4_0 = e3)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21169), (21256) imply:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21270)   ~ (all_4_0 = e1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | |   (21271)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21271) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21272)  all_56_6 = e0 & op(e1, e3) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21272) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21273)  all_56_6 = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (162), (196), (216), (18031), (21172),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21242), (21259), (21264), (21265), (21266),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21273), (function-axioms) are inconsistent by
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #77.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21274)  all_56_7 = e0 & op(e1, e2) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (158), (170), (195), (227), (18039),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (20377), (21246), (21258), (21268), (21269),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21270), (21274), (function-axioms) are
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #76.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | |   (21275)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21275) gives:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21276)  all_56_8 = e0 & op(e1, e1) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21276) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21277)  op(e1, e1) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21172), (21277), (function-axioms) are
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21278)  all_56_11 = e0 & op(e1, e0) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21278) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (21279)  op(e1, e0) = e0
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (140), (160), (191), (192), (195), (196),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (248), (249), (258), (18032), (20376), (21148),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21149), (21169), (21242), (21258), (21259),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21261), (21262), (21265), (21266), (21268),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (21279), (function-axioms) are inconsistent by
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |   (21280)   ~ (all_4_1 = e1) & op(e2, e3) = all_4_1 &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_4_1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21180), (21280), (function-axioms) are
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #113.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21281)   ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |            $i(all_12_1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21281) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21282)   ~ (all_12_1 = e1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |   (21283)  op(e3, e2) = all_12_1
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21175), (21240), (21282), (21283),
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | |            #609.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | |   (21284)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 192.86/30.81  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 192.86/30.81  | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (21148), (21168), (21284),
% 192.86/30.81  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.81  | | | | | | | | | | | | | | | | | |            #607.
% 192.86/30.81  | | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | |   (21285)  all_56_3 = e1 & op(e2, e2) = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | ALPHA: (21285) implies:
% 192.86/30.81  | | | | | | | | | | | | | | | | |   (21286)  op(e2, e2) = e1
% 192.86/30.81  | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (21286), (function-axioms) are
% 192.86/30.81  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 192.86/30.81  | | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | |   (21287)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.86/30.81  | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.86/30.81  | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (21149), (21169), (21287),
% 192.86/30.81  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.81  | | | | | | | | | | | | | | | |            #1101.
% 192.86/30.81  | | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | |   (21288)  all_54_10 = e0
% 192.86/30.81  | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | | REF_CLOSE: (336), (21158), (21288) are inconsistent by
% 192.86/30.81  | | | | | | | | | | | | | | |            sub-proof #932.
% 192.86/30.81  | | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | End of split
% 192.86/30.81  | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | Case 2:
% 192.86/30.81  | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | |   (21289)  all_22_2 = e0
% 192.86/30.81  | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | COMBINE_EQS: (251), (21289) imply:
% 192.86/30.81  | | | | | | | | | | | |   (21290)  all_10_2 = e0
% 192.86/30.81  | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | SIMP: (21290) implies:
% 192.86/30.81  | | | | | | | | | | | |   (21291)  all_10_2 = e0
% 192.86/30.81  | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | REDUCE: (368), (21291) imply:
% 192.86/30.81  | | | | | | | | | | | |   (21292)   ~ (all_52_14 = e0)
% 192.86/30.81  | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | REDUCE: (21156), (21291) imply:
% 192.86/30.81  | | | | | | | | | | | |   (21293)   ~ (e3 = e0)
% 192.86/30.81  | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | REDUCE: (18041), (21291) imply:
% 192.86/30.81  | | | | | | | | | | | |   (21294)   ~ (e2 = e0)
% 192.86/30.81  | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | REDUCE: (45), (21291) imply:
% 192.86/30.81  | | | | | | | | | | | |   (21295)  op(e1, e1) = e0
% 192.86/30.81  | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.86/30.81  | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | |   (21296)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.86/30.81  | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.86/30.81  | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.81  | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.81  | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.81  | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.81  | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.86/30.81  | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.86/30.81  | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.86/30.81  | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.86/30.81  | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.86/30.81  | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.81  | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.81  | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.86/30.81  | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.81  | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.81  | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.81  | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.81  | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.81  | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.81  | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.86/30.81  | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.81  | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.81  | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.86/30.81  | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.81  | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.81  | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.86/30.81  | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.81  | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.81  | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.81  | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.81  | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.81  | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.81  | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.86/30.81  | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.81  | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.81  | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.86/30.81  | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.86/30.81  | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.86/30.81  | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.86/30.81  | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.81  | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.86/30.81  | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.86/30.81  | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.81  | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.81  | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.81  | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.86/30.81  | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.86/30.81  | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.81  | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.81  | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.86/30.81  | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.86/30.81  | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.86/30.81  | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | BETA: splitting (21296) gives:
% 192.86/30.81  | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | Case 1:
% 192.86/30.81  | | | | | | | | | | | | | | 
% 192.86/30.81  | | | | | | | | | | | | | |   (21297)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.86/30.81  | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.86/30.81  | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.86/30.81  | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.81  | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.81  | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.81  | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.81  | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.86/30.81  | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.86/30.81  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.86/30.81  | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.86/30.81  | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.86/30.81  | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.86/30.81  | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.86/30.81  | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.81  | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.81  | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.86/30.81  | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.86/30.81  | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.81  | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.81  | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.81  | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.81  | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.82  | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.86/30.82  | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.82  | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.82  | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.86/30.82  | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.82  | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | BETA: splitting (21297) gives:
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | |   (21298)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.86/30.82  | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.82  | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.86/30.82  | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.86/30.82  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.86/30.82  | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.82  | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (20377), (21298),
% 192.86/30.82  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.82  | | | | | | | | | | | | | | |            #195.
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | |   (21299)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.82  | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.82  | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.82  | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.86/30.82  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.86/30.82  | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.82  | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (20383), (21295), (21299),
% 192.86/30.82  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.82  | | | | | | | | | | | | | | |            #775.
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | |   (21300)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.86/30.82  | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.82  | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.82  | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.82  | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.86/30.82  | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.82  | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.82  | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.86/30.82  | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.86/30.82  | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.86/30.82  | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.86/30.82  | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.82  | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.86/30.82  | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.82  | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.86/30.82  | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.82  | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.82  | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.86/30.82  | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.86/30.82  | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | BETA: splitting (21300) gives:
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | |   (21301)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.82  | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.82  | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.82  | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.86/30.82  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.86/30.82  | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.86/30.82  | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | BETA: splitting (21301) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | |   (21302)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.86/30.82  | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.82  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.82  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | ALPHA: (21302) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | |   (21303)  op(e3, e3) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20383), (21303), (function-axioms) are
% 192.86/30.82  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | |   (21304)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.86/30.82  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 192.86/30.82  | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.86/30.82  | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 192.86/30.82  | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | ALPHA: (21304) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | |   (21305)  op(e0, e0) = e3
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (21154), (21305), (function-axioms) are
% 192.86/30.82  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | |   (21306)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.86/30.82  | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.82  | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.86/30.82  | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.82  | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.86/30.82  | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.86/30.82  | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.86/30.82  | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (18039), (21295), (21306),
% 192.86/30.82  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.82  | | | | | | | | | | | | | | |            #110.
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | |   (21307)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.86/30.82  | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.86/30.82  | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.82  | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.82  | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.82  | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.82  | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.82  | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.86/30.82  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.86/30.82  | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.86/30.82  | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.82  | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.82  | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.86/30.82  | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.86/30.82  | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.86/30.82  | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.86/30.82  | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.86/30.82  | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.82  | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.82  | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.86/30.82  | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.86/30.82  | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.86/30.82  | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.86/30.82  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.86/30.82  | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.86/30.82  | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.86/30.82  | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.86/30.82  | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.86/30.82  | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.86/30.82  | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.86/30.82  | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.86/30.82  | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.86/30.82  | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.86/30.82  | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.86/30.82  | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.86/30.82  | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.82  | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.86/30.82  | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.86/30.82  | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.86/30.82  | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.82  | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.82  | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.86/30.82  | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.86/30.82  | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.86/30.82  | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.86/30.82  | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.82  | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.82  | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.82  | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.86/30.82  | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.86/30.82  | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.86/30.82  | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.82  | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.82  | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.82  | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.86/30.82  | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | BETA: splitting (21307) gives:
% 192.86/30.82  | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | |   (21308)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.86/30.82  | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.82  | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.82  | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.82  | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.86/30.82  | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.82  | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.82  | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.86/30.82  | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.86/30.82  | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.86/30.82  | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.86/30.82  | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.82  | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.82  | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.86/30.82  | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.86/30.82  | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.86/30.82  | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.86/30.82  | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.86/30.82  | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.86/30.82  | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.86/30.82  | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.86/30.82  | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.86/30.82  | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | BETA: splitting (21308) gives:
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | |   (21309)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.86/30.82  | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.82  | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.82  | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.82  | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.86/30.82  | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.86/30.82  | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.86/30.82  | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | BETA: splitting (21309) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | |   (21310)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.86/30.82  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.86/30.82  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.82  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.82  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.86/30.82  | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.86/30.82  | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | ALPHA: (21310) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | |   (21311)  op(e2, e2) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21311), (function-axioms) are
% 192.86/30.82  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | |   (21312)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.86/30.82  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.86/30.82  | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.86/30.82  | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.86/30.82  | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.86/30.82  | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | ALPHA: (21312) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | |   (21313)  op(e0, e0) = e2
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (21154), (21313), (function-axioms) are
% 192.86/30.82  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | |   (21314)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.86/30.82  | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.82  | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.82  | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.86/30.82  | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.86/30.82  | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.86/30.82  | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.86/30.82  | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.86/30.82  | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.86/30.82  | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (21150), (21292), (21314),
% 192.86/30.82  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.82  | | | | | | | | | | | | | | |            #1883.
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | |   (21315)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.86/30.82  | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.86/30.82  | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.86/30.82  | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.86/30.82  | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.82  | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.86/30.82  | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.86/30.82  | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.86/30.82  | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.82  | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.86/30.82  | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.86/30.82  | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.86/30.82  | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.86/30.82  | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.82  | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.82  | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.86/30.82  | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.86/30.82  | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.86/30.82  | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.82  | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | BETA: splitting (21315) gives:
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | |   (21316)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.86/30.82  | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.86/30.82  | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.86/30.82  | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.86/30.82  | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.82  | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.86/30.82  | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.86/30.82  | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.86/30.82  | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.82  | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (20383), (21316), (function-axioms)
% 192.86/30.82  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #84.
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | |   (21317)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.86/30.82  | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.86/30.82  | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.86/30.82  | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.82  | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.82  | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.86/30.82  | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.86/30.82  | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.86/30.82  | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.82  | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.82  | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.82  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | REF_CLOSE: (4), (21154), (21295), (21317), (function-axioms)
% 192.86/30.82  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #915.
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | |   (21318)  all_20_2 = e3
% 192.86/30.82  | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | COMBINE_EQS: (325), (21318) imply:
% 192.86/30.82  | | | | | | | | | | |   (21319)  all_10_2 = e3
% 192.86/30.82  | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | SIMP: (21319) implies:
% 192.86/30.82  | | | | | | | | | | |   (21320)  all_10_2 = e3
% 192.86/30.82  | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | REDUCE: (363), (21320) imply:
% 192.86/30.82  | | | | | | | | | | |   (21321)   ~ (all_52_8 = e3)
% 192.86/30.82  | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | REDUCE: (368), (21320) imply:
% 192.86/30.82  | | | | | | | | | | |   (21322)   ~ (all_52_14 = e3)
% 192.86/30.82  | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | REDUCE: (45), (21320) imply:
% 192.86/30.82  | | | | | | | | | | |   (21323)  op(e1, e1) = e3
% 192.86/30.82  | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | BETA: splitting (209) gives:
% 192.86/30.82  | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | |   (21324)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.86/30.82  | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.86/30.82  | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | BETA: splitting (21324) gives:
% 192.86/30.82  | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | |   (21325)  all_56_12 = e3 & op(e0, e3) = e3
% 192.86/30.82  | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | ALPHA: (21325) implies:
% 192.86/30.82  | | | | | | | | | | | | |   (21326)  all_56_12 = e3
% 192.86/30.82  | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.86/30.82  | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | |   (21327)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.86/30.82  | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (18030), (20383), (21327),
% 192.86/30.82  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.82  | | | | | | | | | | | | | |            #826.
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | |   (21328)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.86/30.82  | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | BETA: splitting (21328) gives:
% 192.86/30.82  | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | |   (21329)  all_56_4 = e3 & op(e3, e1) = e3
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | ALPHA: (21329) implies:
% 192.86/30.82  | | | | | | | | | | | | | | |   (21330)  op(e3, e1) = e3
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | REF_CLOSE: (169), (21321), (21330), (function-axioms) are
% 192.86/30.82  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | |   (21331)  all_56_9 = e3 & op(e3, e0) = e3
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | ALPHA: (21331) implies:
% 192.86/30.82  | | | | | | | | | | | | | | |   (21332)  all_56_9 = e3
% 192.86/30.82  | | | | | | | | | | | | | | |   (21333)  op(e3, e0) = e3
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | |   (21334)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 192.86/30.82  | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | BETA: splitting (21334) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | |   (21335)  all_56_12 = e2 & op(e0, e3) = e2
% 192.86/30.82  | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (20376), (21335), (function-axioms) are
% 192.86/30.82  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 192.86/30.82  | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | |   (21336)  all_56_13 = e2 & op(e0, e2) = e2
% 192.86/30.82  | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | ALPHA: (21336) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | | |   (21337)  all_56_13 = e2
% 192.86/30.82  | | | | | | | | | | | | | | | | |   (21338)  op(e0, e2) = e2
% 192.86/30.82  | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | |   (21339)  all_56_15 = e0 & op(e0, e0) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | ALPHA: (21339) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | | | |   (21340)  op(e0, e0) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21154), (21340), (function-axioms) are
% 192.86/30.82  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 192.86/30.82  | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | |   (21341)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.86/30.82  | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 192.86/30.82  | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 192.86/30.82  | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 192.86/30.82  | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | ALPHA: (21341) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | | | |   (21342)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 192.86/30.82  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 192.86/30.82  | | | | | | | | | | | | | | | | | |                e1) = e0)
% 192.86/30.82  | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | BETA: splitting (21342) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | |   (21343)  all_56_12 = e0 & op(e0, e3) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | ALPHA: (21343) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | |   (21344)  all_56_12 = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (21326), (21344) are inconsistent by
% 192.86/30.82  | | | | | | | | | | | | | | | | | | |            sub-proof #1700.
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | |   (21345)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 192.86/30.82  | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | BETA: splitting (21345) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | |   (21346)  all_56_13 = e0 & op(e0, e2) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | ALPHA: (21346) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | |   (21347)  op(e0, e2) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21338), (21347), (function-axioms) are
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | |   (21348)  all_56_14 = e0 & op(e0, e1) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | ALPHA: (21348) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | |   (21349)  op(e0, e1) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | |   (21350)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21350) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | |   (21351)  all_56_4 = e2 & op(e3, e1) = e2
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (169), (230),
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | |            (232), (236), (20382), (20383), (21151), (21321),
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | |            (21351), (function-axioms) are inconsistent by
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #575.
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | |   (21352)  all_56_5 = e2 & op(e2, e1) = e2
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21352) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | |   (21353)  op(e2, e1) = e2
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | |   (21354)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21354) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | |   (21355)  all_56_2 = e1 & op(e2, e3) = e1
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21355) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | |   (21356)  all_56_2 = e1
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (21357)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21357) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21358)  all_56_0 = e0 & op(e3, e3) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21358) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21359)  op(e3, e3) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (163), (233), (20375), (21326),
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            (21356), (21359), (function-axioms) are
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #73.
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21360)  all_56_2 = e0 & op(e2, e3) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21356), (21360) are inconsistent by
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1858.
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (21361)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21361) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21362)  all_56_6 = e0 & op(e1, e3) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21362) implies:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21363)  all_56_6 = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21364)  op(e1, e3) = e0
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21365)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21365) gives:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21366)  all_56_4 = e1 & op(e3, e1) = e1
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21366) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21367)  all_56_4 = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21368)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21368) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21369)  all_56_0 = e0 & op(e3, e3) = e0
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21369) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21370)  op(e3, e3) = e0
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (163), (233), (20375), (21326),
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21356), (21370), (function-axioms) are
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #73.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21371)  all_56_1 = e0 & op(e3, e2) = e0
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21371) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21372)  all_56_1 = e0
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21373)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (18039), (21372), (21373),
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #80.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21374)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21374) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21375)  all_56_7 = e1 & op(e1, e2) = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21375) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21376)  op(e1, e2) = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21377)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21377) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21378)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21378) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21379)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (20377), (21379),
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21380)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21380) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21381)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21381) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21382)  op(e3, e3) = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (21326),
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21356), (21382), (function-axioms) are
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1845.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21383)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21383) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21384)  op(e1, e3) = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21364), (21384), (function-axioms) are
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #489.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21385)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21385) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21386)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21386) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21387)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21387) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21388)  op(e3, e3) = e0
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (163), (233), (20375), (21326),
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21356), (21388), (function-axioms) are
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #73.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21389)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21389) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21390)  op(e0, e3) = e0
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (21349), (21390),
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1671.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21391)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21391) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21392)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21392) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21393)  op(e2, e2) = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (21393), (function-axioms) are
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21394)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21394) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21395)  op(e2, e1) = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (21353), (21395), (function-axioms) are
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21396)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21396) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21397)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21397) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21398)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21398) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21399)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21399) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21400)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (202), (271), (20378), (20383), (21321),
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21333), (21400), (function-axioms) are
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21401)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21401) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21402)  op(e0, e2) = e0
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21338), (21402), (function-axioms) are
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21403)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21403) gives:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21404)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21404) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21405)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (202), (271), (20378), (20383), (21321),
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21333), (21405), (function-axioms) are
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21406)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21406) implies:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21407)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (21353), (21407), (function-axioms)
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #204.
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21408)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21408) gives:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21409)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21409) gives:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21410)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21410) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21411)  op(e3, e3) = e3
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (168), (169), (234), (20378), (20379),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21372), (21411), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #98.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21412)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21412) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21413)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (21323), (21376), (21413), (function-axioms)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #879.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21414)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21414) gives:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21415)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21415) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21416)  op(e1, e1) = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (162), (216), (18031), (21322),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21363), (21416), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #143.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21417)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21417) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21418)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (202), (271), (20378), (20383), (21321),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21333), (21418), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21419)  all_56_13 = e1 & op(e0, e2) = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21419) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21420)  op(e0, e2) = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (21149), (21420), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21421)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21421) gives:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21422)  all_56_4 = e0 & op(e3, e1) = e0
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21367), (21422) are inconsistent by
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1500.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21423)  all_56_9 = e0 & op(e3, e0) = e0
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21423) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21424)  op(e3, e0) = e0
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (21333), (21424), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1793.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21425)  all_56_5 = e1 & op(e2, e1) = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21425) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21426)  op(e2, e1) = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (21353), (21426), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21427)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21427) gives:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21428)  all_56_8 = e1 & op(e1, e1) = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21428) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21429)  op(e1, e1) = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (162), (216), (18031), (21322),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21363), (21429), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #143.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21430)  all_56_14 = e1 & op(e0, e1) = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21430) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21431)  all_56_14 = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (21326), (21337), (21342), (21431)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1124.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21432)  all_56_12 = e0 & op(e0, e3) = e0
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21432) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21433)  op(e0, e3) = e0
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (21349), (21433),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1671.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | |   (21434)  all_56_3 = e1 & op(e2, e2) = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21434) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | |   (21435)  op(e2, e2) = e1
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (21435), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | |   (21436)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (21152), (21353), (21436),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | |            #586.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | |   (21437)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21437) gives:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |   (21438)  all_56_8 = e2 & op(e1, e1) = e2
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21438) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |   (21439)  op(e1, e1) = e2
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (21323), (21439), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |   (21440)  all_56_14 = e2 & op(e0, e1) = e2
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21440) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |   (21441)  all_56_14 = e2
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (120), (125), (139),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (164), (165), (167),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (202), (206), (207), (209),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            (214), (216), (217), (218), (219), (220), (222),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (226), (227), (229), (233), (234),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            (238), (239), (271), (18033), (18034), (18039),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            (20374), (20377), (20378), (20383), (21148),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            (21149), (21152), (21153), (21154), (21321),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            (21322), (21323), (21326), (21332), (21333),
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            (21342), (21441), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | |   (21442)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 192.86/30.84  | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 192.86/30.84  | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | BETA: splitting (21442) gives:
% 192.86/30.84  | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | |   (21443)  all_56_14 = e2 & op(e0, e1) = e2
% 192.86/30.84  | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | ALPHA: (21443) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | |   (21444)  all_56_14 = e2
% 192.86/30.84  | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 192.86/30.84  | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | |   (21445)  all_56_15 = e0 & op(e0, e0) = e0
% 192.86/30.84  | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | ALPHA: (21445) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | |   (21446)  op(e0, e0) = e0
% 192.86/30.84  | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21154), (21446), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | |   (21447)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 192.86/30.84  | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 192.86/30.84  | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 192.86/30.84  | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | ALPHA: (21447) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | | |   (21448)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 192.86/30.84  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 192.86/30.84  | | | | | | | | | | | | | | | | | |                e1) = e0)
% 192.86/30.84  | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (120), (125), (139),
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (164), (165), (167),
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            (168), (169), (170), (202), (206), (207), (209),
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            (214), (216), (217), (218), (219), (220), (222),
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            (223), (224), (226), (227), (229), (233), (234),
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            (238), (239), (271), (18033), (18034), (18039),
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            (20374), (20377), (20378), (20383), (21148),
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            (21149), (21152), (21153), (21154), (21321),
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            (21322), (21323), (21326), (21332), (21333),
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            (21444), (21448), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 192.86/30.84  | | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | |   (21449)  all_56_15 = e2 & op(e0, e0) = e2
% 192.86/30.84  | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | ALPHA: (21449) implies:
% 192.86/30.84  | | | | | | | | | | | | | | | | |   (21450)  op(e0, e0) = e2
% 192.86/30.84  | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (21154), (21450), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 192.86/30.84  | | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | |   (21451)  all_56_13 = e3 & op(e0, e2) = e3
% 192.86/30.84  | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | ALPHA: (21451) implies:
% 192.86/30.84  | | | | | | | | | | | | |   (21452)  op(e0, e2) = e3
% 192.86/30.84  | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | | REF_CLOSE: (158), (18032), (21452), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 192.86/30.84  | | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | |   (21453)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.86/30.84  | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.86/30.84  | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 192.86/30.84  | | | | | | | | | | | |            (217), (218), (219), (230), (232), (236), (20382),
% 192.86/30.84  | | | | | | | | | | | |            (20383), (21150), (21151), (21154), (21321),
% 192.86/30.84  | | | | | | | | | | | |            (21323), (21453), (function-axioms) are
% 192.86/30.84  | | | | | | | | | | | |            inconsistent by sub-proof #571.
% 192.86/30.84  | | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | |   (21454)  all_56_2 = e2 & op(e2, e3) = e2
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | ALPHA: (21454) implies:
% 192.86/30.84  | | | | | | | | |   (21455)  op(e2, e3) = e2
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | REF_CLOSE: (167), (20374), (21455), (function-axioms) are
% 192.86/30.84  | | | | | | | | |            inconsistent by sub-proof #1785.
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | 
% 192.86/30.84  | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | 
% 192.86/30.84  | | | | | | | |   (21456)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 192.86/30.84  | | | | | | | |              op(e0, e3) = e2)
% 192.86/30.84  | | | | | | | | 
% 192.86/30.84  | | | | | | | | BETA: splitting (21456) gives:
% 192.86/30.84  | | | | | | | | 
% 192.86/30.84  | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | |   (21457)  all_56_6 = e2 & op(e1, e3) = e2
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | REF_CLOSE: (163), (20375), (21457), (function-axioms) are
% 192.86/30.84  | | | | | | | | |            inconsistent by sub-proof #796.
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | Case 2:
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | |   (21458)  all_56_12 = e2 & op(e0, e3) = e2
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | REF_CLOSE: (159), (20376), (21458), (function-axioms) are
% 192.86/30.84  | | | | | | | | |            inconsistent by sub-proof #528.
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | End of split
% 192.86/30.84  | | | | | | | | 
% 192.86/30.84  | | | | | | | End of split
% 192.86/30.84  | | | | | | | 
% 192.86/30.84  | | | | | | End of split
% 192.86/30.84  | | | | | | 
% 192.86/30.84  | | | | | Case 2:
% 192.86/30.84  | | | | | | 
% 192.86/30.84  | | | | | |   (21459)  all_10_2 = e2
% 192.86/30.84  | | | | | | 
% 192.86/30.84  | | | | | | REDUCE: (350), (21459) imply:
% 192.86/30.84  | | | | | |   (21460)   ~ (all_52_2 = e2)
% 192.86/30.84  | | | | | | 
% 192.86/30.84  | | | | | | REDUCE: (361), (21459) imply:
% 192.86/30.84  | | | | | |   (21461)   ~ (all_52_6 = e2)
% 192.86/30.84  | | | | | | 
% 192.86/30.84  | | | | | | REDUCE: (363), (21459) imply:
% 192.86/30.84  | | | | | |   (21462)   ~ (all_52_8 = e2)
% 192.86/30.84  | | | | | | 
% 192.86/30.84  | | | | | | REDUCE: (364), (21459) imply:
% 192.86/30.84  | | | | | |   (21463)   ~ (all_52_9 = e2)
% 192.86/30.84  | | | | | | 
% 192.86/30.84  | | | | | | REDUCE: (368), (21459) imply:
% 192.86/30.84  | | | | | |   (21464)   ~ (all_52_14 = e2)
% 192.86/30.84  | | | | | | 
% 192.86/30.84  | | | | | | REDUCE: (45), (21459) imply:
% 192.86/30.84  | | | | | |   (21465)  op(e1, e1) = e2
% 192.86/30.84  | | | | | | 
% 192.86/30.84  | | | | | | BETA: splitting (49) gives:
% 192.86/30.84  | | | | | | 
% 192.86/30.84  | | | | | | Case 1:
% 192.86/30.84  | | | | | | | 
% 192.86/30.84  | | | | | | |   (21466)   ~ (all_12_2 = e2)
% 192.86/30.84  | | | | | | | 
% 192.86/30.84  | | | | | | | REDUCE: (324), (21466) imply:
% 192.86/30.84  | | | | | | |   (21467)   ~ (all_6_2 = e2)
% 192.86/30.84  | | | | | | | 
% 192.86/30.84  | | | | | | | BETA: splitting (52) gives:
% 192.86/30.84  | | | | | | | 
% 192.86/30.84  | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | 
% 192.86/30.84  | | | | | | | |   (21468)   ~ (all_14_2 = e1)
% 192.86/30.84  | | | | | | | | 
% 192.86/30.84  | | | | | | | | BETA: splitting (58) gives:
% 192.86/30.84  | | | | | | | | 
% 192.86/30.84  | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | |   (21469)   ~ (all_18_2 = e3)
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | REDUCE: (301), (21469) imply:
% 192.86/30.84  | | | | | | | | |   (21470)   ~ (all_14_2 = e3)
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | BETA: splitting (70) gives:
% 192.86/30.84  | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | |   (21471)   ~ (all_26_2 = e1)
% 192.86/30.84  | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | REDUCE: (307), (21471) imply:
% 192.86/30.84  | | | | | | | | | |   (21472)   ~ (all_6_2 = e1)
% 192.86/30.84  | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | BETA: splitting (204) gives:
% 192.86/30.84  | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | Case 1:
% 192.86/30.84  | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | |   (21473)  all_54_0 = e3
% 192.86/30.84  | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | COMBINE_EQS: (279), (21473) imply:
% 192.86/30.84  | | | | | | | | | | |   (21474)  all_6_2 = e3
% 192.86/30.84  | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | SIMP: (21474) implies:
% 192.86/30.84  | | | | | | | | | | |   (21475)  all_6_2 = e3
% 192.86/30.84  | | | | | | | | | | | 
% 192.86/30.84  | | | | | | | | | | | REDUCE: (340), (21475) imply:
% 192.86/30.84  | | | | | | | | | | |   (21476)   ~ (all_52_2 = e3)
% 192.92/30.84  | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | REDUCE: (346), (21475) imply:
% 192.92/30.84  | | | | | | | | | | |   (21477)   ~ (all_52_8 = e3)
% 192.92/30.84  | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | REDUCE: (39), (21475) imply:
% 192.92/30.84  | | | | | | | | | | |   (21478)  op(e3, e3) = e3
% 192.92/30.84  | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | BETA: splitting (220) gives:
% 192.92/30.84  | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | Case 1:
% 192.92/30.84  | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | |   (21479)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 192.92/30.84  | | | | | | | | | | | |              & op(e2, e1) = e3)
% 192.92/30.84  | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | REF_CLOSE: (165), (169), (18033), (21477), (21479),
% 192.92/30.84  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.84  | | | | | | | | | | | |            #1757.
% 192.92/30.84  | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | Case 2:
% 192.92/30.84  | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | |   (21480)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 192.92/30.84  | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 192.92/30.84  | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | BETA: splitting (21480) gives:
% 192.92/30.84  | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | Case 1:
% 192.92/30.84  | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | |   (21481)  all_56_8 = e3 & op(e1, e1) = e3
% 192.92/30.84  | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | ALPHA: (21481) implies:
% 192.92/30.84  | | | | | | | | | | | | |   (21482)  op(e1, e1) = e3
% 192.92/30.84  | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | REF_CLOSE: (9), (21465), (21482), (function-axioms) are
% 192.92/30.84  | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 192.92/30.84  | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | Case 2:
% 192.92/30.84  | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | |   (21483)  all_56_14 = e3 & op(e0, e1) = e3
% 192.92/30.84  | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | ALPHA: (21483) implies:
% 192.92/30.84  | | | | | | | | | | | | |   (21484)  all_56_14 = e3
% 192.92/30.84  | | | | | | | | | | | | |   (21485)  op(e0, e1) = e3
% 192.92/30.84  | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | BETA: splitting (216) gives:
% 192.92/30.84  | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | Case 1:
% 192.92/30.84  | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | |   (21486)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 192.92/30.84  | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 192.92/30.84  | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (18031), (21476), (21486),
% 192.92/30.84  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.84  | | | | | | | | | | | | | |            #222.
% 192.92/30.84  | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | Case 2:
% 192.92/30.84  | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | |   (21487)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 192.92/30.84  | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 192.92/30.84  | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | BETA: splitting (21487) gives:
% 192.92/30.84  | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | Case 1:
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | |   (21488)  all_56_8 = e3 & op(e1, e1) = e3
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | ALPHA: (21488) implies:
% 192.92/30.84  | | | | | | | | | | | | | | |   (21489)  op(e1, e1) = e3
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (217), (218),
% 192.92/30.84  | | | | | | | | | | | | | | |            (219), (21462), (21484), (21489),
% 192.92/30.84  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.84  | | | | | | | | | | | | | | |            #70.
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | Case 2:
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | |   (21490)  all_56_11 = e3 & op(e1, e0) = e3
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | ALPHA: (21490) implies:
% 192.92/30.84  | | | | | | | | | | | | | | |   (21491)  op(e1, e0) = e3
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 192.92/30.84  | | | | | | | | | | | | | | |              e3, e1, e0, simplifying with (157), (21485) gives:
% 192.92/30.84  | | | | | | | | | | | | | | |   (21492)  all_52_11 = e3
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 192.92/30.84  | | | | | | | | | | | | | | |              e3, e0, e1, simplifying with (160), (21491) gives:
% 192.92/30.84  | | | | | | | | | | | | | | |   (21493)  all_52_14 = e3
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | REDUCE: (112), (21493) imply:
% 192.92/30.84  | | | | | | | | | | | | | | |   (21494)   ~ (all_52_12 = e3)
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | REDUCE: (372), (21493) imply:
% 192.92/30.84  | | | | | | | | | | | | | | |   (21495)   ~ (all_14_2 = e3)
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 192.92/30.84  | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | Case 1:
% 192.92/30.84  | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | |   (21496)   ~ (all_28_2 = e2)
% 192.92/30.84  | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | REDUCE: (330), (21496) imply:
% 192.92/30.84  | | | | | | | | | | | | | | | |   (21497)   ~ (all_14_2 = e2)
% 192.92/30.84  | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 192.92/30.84  | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.84  | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | |   (21498)  all_54_15 = e3
% 192.92/30.84  | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (21470), (21498) are inconsistent by
% 192.92/30.84  | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 192.92/30.84  | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.84  | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | |   (21499)   ~ (all_54_15 = e3)
% 192.92/30.84  | | | | | | | | | | | | | | | | |   (21500)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 192.92/30.84  | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | BETA: splitting (21500) gives:
% 192.92/30.84  | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | |   (21501)  all_54_15 = e2
% 192.92/30.84  | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (21497), (21501) are inconsistent by
% 192.92/30.84  | | | | | | | | | | | | | | | | | |            sub-proof #1648.
% 192.92/30.84  | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | |   (21502)   ~ (all_54_15 = e2)
% 192.92/30.84  | | | | | | | | | | | | | | | | | |   (21503)  all_54_15 = e1 | all_54_15 = e0
% 192.92/30.84  | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | BETA: splitting (21503) gives:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |   (21504)  all_54_15 = e1
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (21468), (21504) are inconsistent by
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |            sub-proof #1660.
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |   (21505)  all_54_15 = e0
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (21505) imply:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |   (21506)  all_14_2 = e0
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | SIMP: (21506) implies:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |   (21507)  all_14_2 = e0
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | REDUCE: (351), (21507) imply:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |   (21508)   ~ (all_52_3 = e0)
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | REDUCE: (362), (21507) imply:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |   (21509)   ~ (all_52_7 = e0)
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | REDUCE: (21470), (21507) imply:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |   (21510)   ~ (e3 = e0)
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | REDUCE: (21497), (21507) imply:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |   (21511)   ~ (e2 = e0)
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | REDUCE: (21468), (21507) imply:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |   (21512)   ~ (e1 = e0)
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | REDUCE: (51), (21507) imply:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | |   (21513)  op(e0, e0) = e0
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |   (21514)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | | BETA: splitting (21514) gives:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.84  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |   (21515)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21515) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |   (21516)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (21516), (function-axioms) are
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |   (21517)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21517) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21518)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21518) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21519)   ~ (all_57_14 = e3)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21520)   ~ (all_57_0 = e2)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21521)  op(e1, e1) = all_57_14
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21522)  op(e1, e3) = e1
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21523)  op(e2, e3) = all_57_0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14, e1, e1, simplifying with (21465),
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |              (21521) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21524)  all_57_14 = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (21522) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21525)  all_52_2 = e1
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0, e3, e2, simplifying with (167), (21523)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21526)  all_57_0 = all_52_1
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21520), (21526) imply:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21527)   ~ (all_52_1 = e2)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21519), (21524) imply:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21528)   ~ (e3 = e2)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (21525) imply:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21529)   ~ (all_52_1 = e1)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (21525) imply:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21530)   ~ (all_52_6 = e1)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21530) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21531)   ~ (all_52_6 = e1)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21476), (21525) imply:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21532)   ~ (e3 = e1)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21460), (21525) imply:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | |   (21533)   ~ (e2 = e1)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | |   (21534)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (18039), (21527), (21534),
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | |            #212.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | |   (21535)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21535) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (21536)  all_56_5 = e2 & op(e2, e1) = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21536) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (21537)  op(e2, e1) = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (21463), (21537), (function-axioms) are
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (21538)  all_56_10 = e2 & op(e2, e0) = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21538) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (21539)  op(e2, e0) = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21540)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21540) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21541)  all_56_0 = e0 & op(e3, e3) = e0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21541) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21542)  op(e3, e3) = e0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (21478), (21542), (function-axioms) are
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21543)  all_56_2 = e0 & op(e2, e3) = e0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21543) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21544)  all_56_2 = e0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21545)  all_54_9 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (18031), (21545) are inconsistent by
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21546)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21546) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21547)  all_54_9 = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (21461), (21547) are inconsistent by
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1142.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21548)  all_54_9 = e1 | all_54_9 = e0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21549)  all_54_4 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (18029), (21549) are inconsistent by
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21550)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21551)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21551) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21552)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21552) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21553)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21553) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21554)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21554) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21555)  op(e3, e2) = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (21555), (function-axioms) are
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21556)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21556) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21557)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (21465), (21522), (21557), (function-axioms)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #438.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21558)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21558) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21559)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21559) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21560)  op(e3, e3) = e1
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (21478), (21560), (function-axioms) are
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21561)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21561) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21562)  op(e1, e1) = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21519), (21521), (21562), (function-axioms) are
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #734.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21563)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21563) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21564)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (21478), (21508), (21564),
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1328.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21565)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (162), (164), (165), (224), (18033),
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18034), (21531), (21544), (21565),
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #97.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21566)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21566) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21567)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21567) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21568)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21568) gives:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21569)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21569) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21570)  op(e2, e2) = e0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21570), (function-axioms) are
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21571)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21571) implies:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21572)  op(e2, e0) = e0
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (21527), (21529), (21550),
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21572), (function-axioms) are inconsistent by
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #201.
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21573)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21573) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21574)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21574) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21575)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21539), (21575), (function-axioms)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #165.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21576)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21576) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21577)  op(e1, e0) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (258), (21531), (21548), (21577),
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #231.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21578)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21578) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21579)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21579) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21580)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21580) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21581)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (21465), (21522), (21581), (function-axioms)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #438.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21582)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21582) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21583)  op(e2, e2) = e2
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (21583), (function-axioms) are
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21584)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (9), (165), (169), (219), (18039),
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21462), (21463), (21484), (21539), (21584),
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #69.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21585)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21585) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21586)  all_56_6 = e0 & op(e1, e3) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21586) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21587)  op(e1, e3) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21522), (21587), (function-axioms) are
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #489.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21588)  all_56_12 = e0 & op(e0, e3) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21588) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21589)  op(e0, e3) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (21508), (21589), (function-axioms) are
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |   (21590)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21590) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |   (21591)  op(e0, e0) = e3
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (207),
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |            (208), (21484), (21508), (21591),
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |            #319.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |   (21592)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (170), (18030), (18039), (21465),
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |            (21478), (21592), (function-axioms) are
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #67.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |   (21593)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (21593) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |   (21594)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21594) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |   (21595)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (21478), (21513), (21595),
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |            #1312.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |   (21596)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (21494), (21513), (21596),
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |            #1828.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |   (21597)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21597) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |   (21598)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (21478), (21598), (function-axioms) are
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1960.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |   (21599)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21599) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |   (21600)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21600) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |   (21601)  op(e1, e1) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21465), (21601), (function-axioms) are
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |   (21602)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21602) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |   (21603)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21603) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |   (21604)  op(e2, e2) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21604), (function-axioms) are
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |   (21605)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21605) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |   (21606)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21606) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (21607)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (21508), (21509), (21607),
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |            #199.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (21608)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21608) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21609)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21609) implies:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21610)  op(e0, e2) = e0
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (21509), (21610), (function-axioms) are
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21611)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21611) gives:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21612)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21612) implies:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21613)  op(e3, e3) = e1
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (21478), (21613), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1966.
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21614)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21614) implies:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21615)  op(e2, e2) = e1
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (158), (159), (246), (351), (362),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (369), (21468), (21478), (21497), (21500),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21606), (21615), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #505.
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | |   (21616)  all_28_2 = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (21616) imply:
% 192.92/30.87  | | | | | | | | | | | | | | | |   (21617)  all_14_2 = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | SIMP: (21617) implies:
% 192.92/30.87  | | | | | | | | | | | | | | | |   (21618)  all_14_2 = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | REDUCE: (370), (21618) imply:
% 192.92/30.87  | | | | | | | | | | | | | | | |   (21619)   ~ (all_52_12 = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | REDUCE: (371), (21618) imply:
% 192.92/30.87  | | | | | | | | | | | | | | | |   (21620)   ~ (all_52_13 = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | REDUCE: (21470), (21618) imply:
% 192.92/30.87  | | | | | | | | | | | | | | | |   (21621)   ~ (e3 = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | REDUCE: (51), (21618) imply:
% 192.92/30.87  | | | | | | | | | | | | | | | |   (21622)  op(e0, e0) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | |   (21623)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | BETA: splitting (21623) gives:
% 192.92/30.87  | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | |   (21624)  all_56_2 = e2 & op(e2, e3) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | ALPHA: (21624) implies:
% 192.92/30.87  | | | | | | | | | | | | | | | | | |   (21625)  op(e2, e3) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | |   (21626)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (21626) gives:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21627)  all_56_0 = e2 & op(e3, e3) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (21627) implies:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21628)  op(e3, e3) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (21478), (21628), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21629)  all_56_1 = e2 & op(e3, e2) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (21629) implies:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21630)  op(e3, e2) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (21625) gives:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21631)  all_52_1 = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (21630) gives:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21632)  all_52_4 = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (21631) imply:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21633)   ~ (all_52_3 = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | SIMP: (21633) implies:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21634)   ~ (all_52_3 = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (21631) imply:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21635)   ~ (all_52_13 = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (21632) imply:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21636)   ~ (all_52_8 = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | |   (21637)   ~ (all_40_2 = e3)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18028), (21637) imply:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | |   (21638)  $false
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | CLOSE: (21638) is inconsistent.
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | |   (21639)  ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = all_40_1 & $i(all_40_0) &
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | |              $i(all_40_1)) | ( ~ (all_40_1 = e0) & op(e2, e3)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | |              = all_40_1 & $i(all_40_1))
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21639) gives:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |   (21640)   ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 &
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_40_1 & $i(all_40_0) &
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            $i(all_40_1)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21640) implies:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |   (21641)  op(e2, e3) = all_40_1
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (164), (168),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (206), (207), (208), (217), (218),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            (219), (238), (18027), (18030), (18039), (21462),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            (21465), (21478), (21484), (21494), (21620),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            (21622), (21625), (21634), (21641),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            #63.
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |   (21642)   ~ (all_40_1 = e0) & op(e2, e3) = all_40_1 &
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            $i(all_40_1)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21642) implies:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |   (21643)  op(e2, e3) = all_40_1
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (164), (168),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (206), (207), (208), (217), (218),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            (219), (238), (18027), (18030), (18039), (21462),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            (21465), (21478), (21484), (21494), (21620),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            (21622), (21625), (21634), (21643),
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | |            #63.
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | |   (21644)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (21644) gives:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21645)  all_56_4 = e2 & op(e3, e1) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (21462), (21645), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |   (21646)  all_56_9 = e2 & op(e3, e0) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (21619), (21646), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #737.
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | |   (21647)  all_56_3 = e2 & op(e2, e2) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | ALPHA: (21647) implies:
% 192.92/30.87  | | | | | | | | | | | | | | | | | |   (21648)  op(e2, e2) = e2
% 192.92/30.87  | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (21648), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 192.92/30.87  | | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | |   (21649)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 192.92/30.87  | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 192.92/30.87  | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (21463), (21620), (21649),
% 192.92/30.87  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.87  | | | | | | | | | | | | | | | | |            #1661.
% 192.92/30.87  | | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | |   (21650)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | REF_CLOSE: (279), (18040), (21467), (21472), (21650) are
% 192.92/30.87  | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | |   (21651)  all_26_2 = e1
% 192.92/30.87  | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | COMBINE_EQS: (307), (21651) imply:
% 192.92/30.87  | | | | | | | | | |   (21652)  all_6_2 = e1
% 192.92/30.87  | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | SIMP: (21652) implies:
% 192.92/30.87  | | | | | | | | | |   (21653)  all_6_2 = e1
% 192.92/30.87  | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | REDUCE: (340), (21653) imply:
% 192.92/30.87  | | | | | | | | | |   (21654)   ~ (all_52_2 = e1)
% 192.92/30.87  | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | REDUCE: (21467), (21653) imply:
% 192.92/30.87  | | | | | | | | | |   (21655)   ~ (e2 = e1)
% 192.92/30.87  | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | REDUCE: (39), (21653) imply:
% 192.92/30.87  | | | | | | | | | |   (21656)  op(e3, e3) = e1
% 192.92/30.87  | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | BETA: splitting (238) gives:
% 192.92/30.87  | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | |   (21657)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.87  | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.87  | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.87  | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.87  | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.87  | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.87  | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.87  | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.87  | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.87  | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.87  | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.87  | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.87  | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.87  | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.87  | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.87  | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.87  | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.92/30.87  | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.92/30.87  | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.92/30.87  | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.92/30.87  | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.92/30.87  | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.92/30.87  | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.92/30.87  | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.92/30.87  | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.92/30.87  | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.92/30.87  | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.92/30.87  | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.87  | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.92/30.87  | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.92/30.87  | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.92/30.87  | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.92/30.87  | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.92/30.87  | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.87  | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.87  | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.87  | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | BETA: splitting (21657) gives:
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | |   (21658)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.87  | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.87  | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.87  | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.87  | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.87  | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.87  | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.87  | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.87  | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.87  | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.87  | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.87  | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.87  | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.87  | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.87  | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | BETA: splitting (21658) gives:
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | |   (21659)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.87  | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.87  | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.87  | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | REF_CLOSE: (18039), (21659), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | |   (21660)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.87  | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.87  | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.87  | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | REF_CLOSE: (163), (21654), (21660), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | |            inconsistent by sub-proof #219.
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | |   (21661)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.87  | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.92/30.87  | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.92/30.87  | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.92/30.87  | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.92/30.87  | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.92/30.87  | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.87  | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.87  | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.92/30.87  | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.92/30.87  | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.92/30.87  | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.92/30.87  | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.92/30.87  | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.92/30.87  | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.92/30.87  | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.92/30.87  | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_10))
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | BETA: splitting (21661) gives:
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | |   (21662)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.87  | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.92/30.87  | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.92/30.87  | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (21662), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | |   (21663)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.92/30.87  | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.92/30.87  | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.92/30.87  | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.92/30.87  | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.92/30.87  | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.87  | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18039), (21465), (21656), (21663),
% 192.92/30.87  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.87  | | | | | | | | | | | | |            #62.
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | |   (21664)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.87  | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.87  | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.87  | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.87  | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.87  | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.87  | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.87  | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.92/30.87  | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.92/30.87  | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.92/30.87  | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.92/30.87  | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.92/30.87  | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.87  | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.87  | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.87  | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.87  | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.87  | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.87  | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.87  | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.92/30.87  | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.92/30.87  | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.92/30.87  | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.92/30.87  | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.92/30.87  | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.92/30.87  | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.92/30.87  | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.92/30.87  | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.92/30.87  | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.92/30.87  | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.87  | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.87  | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.87  | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.92/30.87  | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.92/30.87  | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.87  | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.92/30.87  | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.92/30.87  | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.92/30.87  | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.92/30.87  | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.92/30.87  | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.87  | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.87  | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.87  | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.87  | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.87  | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.87  | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.87  | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.87  | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.87  | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.87  | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.87  | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.87  | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.87  | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.87  | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.87  | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.87  | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | BETA: splitting (21664) gives:
% 192.92/30.87  | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | |   (21665)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.87  | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.87  | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.87  | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.87  | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.87  | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.92/30.87  | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.92/30.87  | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.92/30.87  | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.92/30.87  | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.92/30.87  | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.87  | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.87  | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.87  | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.87  | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.87  | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | BETA: splitting (21665) gives:
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | |   (21666)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.87  | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.87  | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.87  | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.87  | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | BETA: splitting (21666) gives:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | |   (21667)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.87  | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.87  | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.87  | | | | | | | | | | | | | |            $i(all_57_10)
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | ALPHA: (21667) implies:
% 192.92/30.87  | | | | | | | | | | | | | |   (21668)  op(e0, e0) = e1
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | REF_CLOSE: (51), (21468), (21668), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #1967.
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | |   (21669)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 192.92/30.87  | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 192.92/30.87  | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 192.92/30.87  | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | ALPHA: (21669) implies:
% 192.92/30.87  | | | | | | | | | | | | | |   (21670)  op(e2, e1) = e2
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | REF_CLOSE: (165), (21463), (21670), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | |   (21671)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.87  | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.92/30.87  | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.92/30.87  | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.92/30.87  | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.92/30.87  | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | BETA: splitting (21671) gives:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | |   (21672)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.87  | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.92/30.87  | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.92/30.87  | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.87  | | | | | | | | | | | | | |            $i(all_57_12)
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | ALPHA: (21672) implies:
% 192.92/30.87  | | | | | | | | | | | | | |   (21673)  op(e0, e0) = e1
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | REF_CLOSE: (51), (21468), (21673), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #1967.
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | |   (21674)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.87  | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.87  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.87  | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.87  | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.87  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.87  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.87  | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (18039), (21465), (21674),
% 192.92/30.87  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.87  | | | | | | | | | | | | | |            #61.
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | End of split
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | |   (21675)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.87  | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.87  | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.87  | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.92/30.87  | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.92/30.87  | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.92/30.87  | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.92/30.87  | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.92/30.87  | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.87  | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.92/30.87  | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.87  | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.92/30.87  | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.92/30.87  | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.92/30.87  | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.92/30.87  | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.92/30.87  | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.87  | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.92/30.87  | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.87  | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.92/30.87  | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.92/30.87  | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.87  | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.87  | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.87  | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.87  | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.87  | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.87  | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.87  | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.87  | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.87  | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.87  | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.87  | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.87  | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.87  | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.87  | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | BETA: splitting (21675) gives:
% 192.92/30.87  | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | |   (21676)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.87  | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.92/30.87  | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.92/30.87  | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.92/30.87  | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.92/30.87  | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_14))
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | REF_CLOSE: (4), (21656), (21676), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | |            inconsistent by sub-proof #1936.
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | |   (21677)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.92/30.87  | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.92/30.87  | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.92/30.87  | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.87  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.92/30.87  | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.92/30.87  | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.92/30.87  | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.92/30.87  | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.92/30.87  | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.87  | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.87  | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.87  | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.87  | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.87  | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.87  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.87  | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.87  | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.87  | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.87  | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.87  | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.87  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.87  | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.87  | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.87  | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.87  | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.87  | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | BETA: splitting (21677) gives:
% 192.92/30.87  | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | Case 1:
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | |   (21678)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.92/30.87  | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.87  | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.87  | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.87  | | | | | | | | | | | | | |            $i(all_57_13)
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | ALPHA: (21678) implies:
% 192.92/30.87  | | | | | | | | | | | | | |   (21679)  op(e1, e1) = e0
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | | REF_CLOSE: (5), (21465), (21679), (function-axioms) are
% 192.92/30.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.87  | | | | | | | | | | | | | Case 2:
% 192.92/30.87  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | |   (21680)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.92/30.88  | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.92/30.88  | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.92/30.88  | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.92/30.88  | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.92/30.88  | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.92/30.88  | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.92/30.88  | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.92/30.88  | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.92/30.88  | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.92/30.88  | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.92/30.88  | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.92/30.88  | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.92/30.88  | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.92/30.88  | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.92/30.88  | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.88  | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.92/30.88  | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.92/30.88  | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.92/30.88  | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.92/30.88  | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.92/30.88  | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.92/30.88  | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.92/30.88  | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.92/30.88  | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | BETA: splitting (21680) gives:
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | |   (21681)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.92/30.88  | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.92/30.88  | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | ALPHA: (21681) implies:
% 192.92/30.88  | | | | | | | | | | | | | | |   (21682)  op(e2, e2) = e0
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21682), (function-axioms) are
% 192.92/30.88  | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | |   (21683)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.88  | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.88  | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.92/30.88  | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.92/30.88  | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.92/30.88  | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.92/30.88  | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.92/30.88  | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.92/30.88  | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | ALPHA: (21683) implies:
% 192.92/30.88  | | | | | | | | | | | | | | |   (21684)  op(e0, e0) = all_57_15
% 192.92/30.88  | | | | | | | | | | | | | | |   (21685)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.92/30.88  | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.92/30.88  | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.88  | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.92/30.88  | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.92/30.88  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.92/30.88  | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.92/30.88  | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_15, e0, e0, simplifying with (51), (21684)
% 192.92/30.88  | | | | | | | | | | | | | | |              gives:
% 192.92/30.88  | | | | | | | | | | | | | | |   (21686)  all_57_15 = all_14_2
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21687)   ~ (all_28_2 = e2)
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | REDUCE: (330), (21687) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21688)   ~ (all_14_2 = e2)
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21689)  all_54_15 = e3
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (21689) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21690)  all_14_2 = e3
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | REDUCE: (21470), (21690) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21691)  $false
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | CLOSE: (21691) is inconsistent.
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21692)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | BETA: splitting (21692) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21693)  all_54_15 = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (21693) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21694)  all_14_2 = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | REDUCE: (21688), (21694) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21695)  $false
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | CLOSE: (21695) is inconsistent.
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21696)  all_54_15 = e1 | all_54_15 = e0
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | BETA: splitting (21696) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | |   (21697)  all_54_15 = e1
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (21697) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | |   (21698)  all_14_2 = e1
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | REDUCE: (21468), (21698) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | |   (21699)  $false
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | CLOSE: (21699) is inconsistent.
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | |   (21700)  all_54_15 = e0
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (21700) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | |   (21701)  all_14_2 = e0
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | REDUCE: (351), (21701) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | |   (21702)   ~ (all_52_3 = e0)
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | REDUCE: (362), (21701) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | |   (21703)   ~ (all_52_7 = e0)
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | REDUCE: (369), (21701) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | |   (21704)   ~ (all_52_11 = e0)
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (158), (159), (18039), (21685),
% 192.92/30.88  | | | | | | | | | | | | | | | | | | |            (21702), (21703), (21704), (function-axioms) are
% 192.92/30.88  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #60.
% 192.92/30.88  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21705)  all_28_2 = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (21705) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21706)  all_14_2 = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | SIMP: (21706) implies:
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21707)  all_14_2 = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | REDUCE: (369), (21707) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21708)   ~ (all_52_11 = e2)
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | REDUCE: (371), (21707) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21709)   ~ (all_52_13 = e2)
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | REDUCE: (21470), (21707) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21710)   ~ (e3 = e2)
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | REDUCE: (51), (21707) imply:
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21711)  op(e0, e0) = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21712)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | BETA: splitting (21712) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21713)  all_56_2 = e2 & op(e2, e3) = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | ALPHA: (21713) implies:
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21714)  op(e2, e3) = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (125), (139), (157), (158), (159),
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            (165), (206), (220), (18033), (18039), (21465),
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            (21684), (21685), (21708), (21711), (21714),
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            #59.
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21715)  all_56_3 = e2 & op(e2, e2) = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | ALPHA: (21715) implies:
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21716)  op(e2, e2) = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (21716), (function-axioms) are
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21717)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 192.92/30.88  | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (21463), (21709), (21717),
% 192.92/30.88  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.88  | | | | | | | | | | | | | | | | |            #1661.
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | 
% 192.92/30.88  | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | 
% 192.92/30.88  | | | | | | | | |   (21718)  all_18_2 = e3
% 192.92/30.88  | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | COMBINE_EQS: (301), (21718) imply:
% 192.92/30.88  | | | | | | | | |   (21719)  all_14_2 = e3
% 192.92/30.88  | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | SIMP: (21719) implies:
% 192.92/30.88  | | | | | | | | |   (21720)  all_14_2 = e3
% 192.92/30.88  | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | REDUCE: (369), (21720) imply:
% 192.92/30.88  | | | | | | | | |   (21721)   ~ (all_52_11 = e3)
% 192.92/30.88  | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | REDUCE: (372), (21720) imply:
% 192.92/30.88  | | | | | | | | |   (21722)   ~ (all_52_14 = e3)
% 192.92/30.88  | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | REDUCE: (51), (21720) imply:
% 192.92/30.88  | | | | | | | | |   (21723)  op(e0, e0) = e3
% 192.92/30.88  | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | BETA: splitting (216) gives:
% 192.92/30.88  | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | |   (21724)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 192.92/30.88  | | | | | | | | | |              & op(e1, e2) = e3)
% 192.92/30.88  | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | BETA: splitting (21724) gives:
% 192.92/30.88  | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | |   (21725)  all_56_6 = e3 & op(e1, e3) = e3
% 192.92/30.88  | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | ALPHA: (21725) implies:
% 192.92/30.88  | | | | | | | | | | |   (21726)  op(e1, e3) = e3
% 192.92/30.88  | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | BETA: splitting (220) gives:
% 192.92/30.88  | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | |   (21727)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 192.92/30.88  | | | | | | | | | | | |              & op(e2, e1) = e3)
% 192.92/30.88  | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | BETA: splitting (21727) gives:
% 192.92/30.88  | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | |   (21728)  all_56_4 = e3 & op(e3, e1) = e3
% 192.92/30.88  | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | ALPHA: (21728) implies:
% 192.92/30.88  | | | | | | | | | | | | |   (21729)  op(e3, e1) = e3
% 192.92/30.88  | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 192.92/30.88  | | | | | | | | | | | | |              e3, e1, simplifying with (163), (21726) gives:
% 192.92/30.88  | | | | | | | | | | | | |   (21730)  all_52_2 = e3
% 192.92/30.88  | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 192.92/30.88  | | | | | | | | | | | | |              e1, e3, simplifying with (169), (21729) gives:
% 192.92/30.88  | | | | | | | | | | | | |   (21731)  all_52_8 = e3
% 192.92/30.88  | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | REDUCE: (143), (21730) imply:
% 192.92/30.88  | | | | | | | | | | | | |   (21732)   ~ (all_52_6 = e3)
% 192.92/30.88  | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | REDUCE: (346), (21731) imply:
% 192.92/30.88  | | | | | | | | | | | | |   (21733)   ~ (all_6_2 = e3)
% 192.92/30.88  | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | SIMP: (21733) implies:
% 192.92/30.88  | | | | | | | | | | | | |   (21734)   ~ (all_6_2 = e3)
% 192.92/30.88  | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | BETA: splitting (204) gives:
% 192.92/30.88  | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | |   (21735)  all_54_0 = e3
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | COMBINE_EQS: (279), (21735) imply:
% 192.92/30.88  | | | | | | | | | | | | | |   (21736)  all_6_2 = e3
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | REDUCE: (21734), (21736) imply:
% 192.92/30.88  | | | | | | | | | | | | | |   (21737)  $false
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | CLOSE: (21737) is inconsistent.
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | |   (21738)   ~ (all_54_0 = e3)
% 192.92/30.88  | | | | | | | | | | | | | |   (21739)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.92/30.88  | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | |   (21740)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.88  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.88  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.88  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.92/30.88  | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.92/30.88  | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.92/30.88  | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.92/30.88  | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.92/30.88  | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.92/30.88  | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.92/30.88  | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | BETA: splitting (21740) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21741)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.88  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.88  | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.88  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | BETA: splitting (21741) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21742)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.88  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.88  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.88  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (21742), (function-axioms) are
% 192.92/30.88  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21743)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.88  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.88  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (21726), (21743), (function-axioms) are
% 192.92/30.88  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #141.
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21744)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.92/30.88  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.92/30.88  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.88  | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.92/30.88  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.92/30.88  | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | BETA: splitting (21744) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21745)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.88  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.92/30.88  | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (21745), (function-axioms) are
% 192.92/30.88  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21746)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.92/30.88  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.92/30.88  | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.92/30.88  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (21465), (21746), (function-axioms)
% 192.92/30.88  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #58.
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | |   (21747)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.88  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.88  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.92/30.88  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.92/30.88  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.88  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.92/30.88  | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.92/30.88  | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.92/30.88  | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.92/30.88  | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.92/30.88  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.92/30.88  | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.92/30.88  | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.92/30.88  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.88  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.92/30.88  | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.92/30.88  | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.92/30.88  | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.88  | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.88  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.88  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.88  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.88  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.88  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.88  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.88  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.88  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.88  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.88  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.88  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | BETA: splitting (21747) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21748)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.88  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.88  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.92/30.88  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.92/30.88  | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.88  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | BETA: splitting (21748) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21749)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.88  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.88  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.88  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (21723), (21729), (21749), (function-axioms)
% 192.92/30.88  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #464.
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21750)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.88  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.92/30.88  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.92/30.88  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.92/30.88  | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.92/30.88  | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (120), (168), (169), (21723), (21729),
% 192.92/30.88  | | | | | | | | | | | | | | | | |            (21750), (function-axioms) are inconsistent by
% 192.92/30.88  | | | | | | | | | | | | | | | | |            sub-proof #655.
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | |   (21751)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.92/30.88  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.92/30.88  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.92/30.88  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.92/30.88  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.92/30.88  | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.88  | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.92/30.88  | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.92/30.88  | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.92/30.88  | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.92/30.88  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.92/30.88  | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.88  | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.92/30.88  | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.92/30.88  | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.92/30.88  | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.88  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.88  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.88  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.88  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.88  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.88  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.88  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.88  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.88  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.88  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.88  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | BETA: splitting (21751) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | |   (21752)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.88  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.92/30.88  | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.92/30.88  | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.92/30.88  | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.92/30.88  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.92/30.88  | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | BETA: splitting (21752) gives:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21753)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.88  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | ALPHA: (21753) implies:
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21754)  op(e3, e3) = e0
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (279), (18040), (21467), (21739), (21754),
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            #57.
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21755)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.92/30.88  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | ALPHA: (21755) implies:
% 192.92/30.88  | | | | | | | | | | | | | | | | | |   (21756)  op(e3, e3) = e0
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (279), (18040), (21467), (21739), (21756),
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.88  | | | | | | | | | | | | | | | | | |            #57.
% 192.92/30.88  | | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.88  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.88  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21757)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.92/30.89  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.89  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.89  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.92/30.89  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.92/30.89  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.89  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.92/30.89  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.92/30.89  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.89  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.89  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.89  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.89  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.89  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.89  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.89  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.89  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | BETA: splitting (21757) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | |   (21758)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.89  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.89  | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | ALPHA: (21758) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | |   (21759)  op(e1, e1) = e0
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21465), (21759), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | |   (21760)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.92/30.89  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.92/30.89  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.92/30.89  | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | BETA: splitting (21760) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21761)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | ALPHA: (21761) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21762)  op(e2, e2) = e0
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21762), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21763)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | ALPHA: (21763) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21764)  op(e0, e0) = all_57_15
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21765)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | BETA: splitting (21739) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | |   (21766)  all_54_0 = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (21766) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | |   (21767)  all_6_2 = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | REDUCE: (21467), (21767) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | |   (21768)  $false
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | CLOSE: (21768) is inconsistent.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | |   (21769)   ~ (all_54_0 = e2)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | |   (21770)  all_54_0 = e1 | all_54_0 = e0
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | BETA: splitting (21770) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | |   (21771)  all_54_0 = e1
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (21771) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | |   (21772)  all_6_2 = e1
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (21772) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | |   (21773)  all_42_2 = e1
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | REDUCE: (21734), (21772) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | |   (21774)   ~ (e3 = e1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | |   (21775)   ~ (all_42_2 = e1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21773), (21775) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | |   (21776)  $false
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21776) is inconsistent.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | |   (21777)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_42_1 & $i(all_42_0) &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | |              $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3, e1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | |              = all_42_1 & $i(all_42_1))
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21777) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |   (21778)   ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_42_1 & $i(all_42_0) &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_42_1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21778) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |   (21779)  op(e3, e1) = all_42_1
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (128), (158), (162), (195), (258),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            (279), (18031), (18039), (18040), (21461),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            (21467), (21723), (21729), (21764), (21765),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            (21770), (21779), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #56.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |   (21780)   ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 &
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_42_1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21780) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |   (21781)  op(e3, e1) = all_42_1
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (128), (158), (162), (195), (258),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            (279), (18031), (18039), (18040), (21461),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            (21467), (21723), (21729), (21764), (21765),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            (21770), (21781), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #56.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | |   (21782)  all_54_0 = e0
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (21782) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | |   (21783)  all_6_2 = e0
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18040), (21783) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | |   (21784)  $false
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | CLOSE: (21784) is inconsistent.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | |   (21785)  all_56_5 = e3 & op(e2, e1) = e3
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | ALPHA: (21785) implies:
% 192.92/30.89  | | | | | | | | | | | | |   (21786)  op(e2, e1) = e3
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | REF_CLOSE: (165), (18033), (21786), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | |   (21787)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 192.92/30.89  | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 192.92/30.89  | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | REF_CLOSE: (9), (157), (21465), (21721), (21787),
% 192.92/30.89  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.89  | | | | | | | | | | | |            #55.
% 192.92/30.89  | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | |   (21788)  all_56_7 = e3 & op(e1, e2) = e3
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | ALPHA: (21788) implies:
% 192.92/30.89  | | | | | | | | | | |   (21789)  op(e1, e2) = e3
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | REF_CLOSE: (162), (18031), (21789), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | |   (21790)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 192.92/30.89  | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 192.92/30.89  | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | REF_CLOSE: (9), (160), (21465), (21722), (21790),
% 192.92/30.89  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.89  | | | | | | | | | |            #507.
% 192.92/30.89  | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | 
% 192.92/30.89  | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | |   (21791)  all_14_2 = e1
% 192.92/30.89  | | | | | | | |   (21792)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 192.92/30.89  | | | | | | | |              op(e0, e1) = all_14_1 & $i(all_14_0) &
% 192.92/30.89  | | | | | | | |              $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e0, e1) =
% 192.92/30.89  | | | | | | | |              all_14_1 & $i(all_14_1))
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | | COMBINE_EQS: (327), (21791) imply:
% 192.92/30.89  | | | | | | | |   (21793)  all_16_2 = e1
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | | REDUCE: (351), (21791) imply:
% 192.92/30.89  | | | | | | | |   (21794)   ~ (all_52_3 = e1)
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | | REDUCE: (362), (21791) imply:
% 192.92/30.89  | | | | | | | |   (21795)   ~ (all_52_7 = e1)
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | | REDUCE: (370), (21791) imply:
% 192.92/30.89  | | | | | | | |   (21796)   ~ (all_52_12 = e1)
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | | REDUCE: (371), (21791) imply:
% 192.92/30.89  | | | | | | | |   (21797)   ~ (all_52_13 = e1)
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | | REDUCE: (372), (21791) imply:
% 192.92/30.89  | | | | | | | |   (21798)   ~ (all_52_14 = e1)
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | | REDUCE: (51), (21791) imply:
% 192.92/30.89  | | | | | | | |   (21799)  op(e0, e0) = e1
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | | BETA: splitting (55) gives:
% 192.92/30.89  | | | | | | | | 
% 192.92/30.89  | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | 
% 192.92/30.89  | | | | | | | | |   (21800)   ~ (all_16_2 = e1)
% 192.92/30.89  | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | REDUCE: (21793), (21800) imply:
% 192.92/30.89  | | | | | | | | |   (21801)  $false
% 192.92/30.89  | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | CLOSE: (21801) is inconsistent.
% 192.92/30.89  | | | | | | | | | 
% 192.92/30.89  | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | 
% 192.92/30.89  | | | | | | | | |   (21802)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 192.92/30.89  | | | | | | | | |              op(e0, e1) = all_16_1 & $i(all_16_0) &
% 192.92/30.89  | | | | | | | | |              $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0, e1)
% 192.92/30.89  | | | | | | | | |              = all_16_1 & $i(all_16_1))
% 192.92/30.89  | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | BETA: splitting (70) gives:
% 192.92/30.89  | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | |   (21803)   ~ (all_26_2 = e1)
% 192.92/30.89  | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | REDUCE: (307), (21803) imply:
% 192.92/30.89  | | | | | | | | | |   (21804)   ~ (all_6_2 = e1)
% 192.92/30.89  | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | BETA: splitting (204) gives:
% 192.92/30.89  | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | |   (21805)  all_54_0 = e3
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | COMBINE_EQS: (279), (21805) imply:
% 192.92/30.89  | | | | | | | | | | |   (21806)  all_6_2 = e3
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | REDUCE: (340), (21806) imply:
% 192.92/30.89  | | | | | | | | | | |   (21807)   ~ (all_52_2 = e3)
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | REDUCE: (342), (21806) imply:
% 192.92/30.89  | | | | | | | | | | |   (21808)   ~ (all_52_3 = e3)
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | REDUCE: (39), (21806) imply:
% 192.92/30.89  | | | | | | | | | | |   (21809)  op(e3, e3) = e3
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | BETA: splitting (216) gives:
% 192.92/30.89  | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | |   (21810)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 192.92/30.89  | | | | | | | | | | | |              & op(e1, e2) = e3)
% 192.92/30.89  | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | REF_CLOSE: (162), (163), (18031), (21807), (21810),
% 192.92/30.89  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.89  | | | | | | | | | | | |            #222.
% 192.92/30.89  | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | |   (21811)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 192.92/30.89  | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 192.92/30.89  | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | BETA: splitting (21811) gives:
% 192.92/30.89  | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | |   (21812)  all_56_8 = e3 & op(e1, e1) = e3
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | ALPHA: (21812) implies:
% 192.92/30.89  | | | | | | | | | | | | |   (21813)  op(e1, e1) = e3
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | REF_CLOSE: (9), (21465), (21813), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | |   (21814)  all_56_11 = e3 & op(e1, e0) = e3
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | ALPHA: (21814) implies:
% 192.92/30.89  | | | | | | | | | | | | |   (21815)  all_56_11 = e3
% 192.92/30.89  | | | | | | | | | | | | |   (21816)  op(e1, e0) = e3
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | BETA: splitting (209) gives:
% 192.92/30.89  | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | |   (21817)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 192.92/30.89  | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 192.92/30.89  | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (18032), (21808), (21817),
% 192.92/30.89  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.89  | | | | | | | | | | | | | |            #322.
% 192.92/30.89  | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | |   (21818)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 192.92/30.89  | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 192.92/30.89  | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | BETA: splitting (21818) gives:
% 192.92/30.89  | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | |   (21819)  all_56_14 = e3 & op(e0, e1) = e3
% 192.92/30.89  | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | ALPHA: (21819) implies:
% 192.92/30.89  | | | | | | | | | | | | | | |   (21820)  all_56_14 = e3
% 192.92/30.89  | | | | | | | | | | | | | | |   (21821)  op(e0, e1) = e3
% 192.92/30.89  | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 192.92/30.89  | | | | | | | | | | | | | | |              e3, e1, e0, simplifying with (157), (21821) gives:
% 192.92/30.89  | | | | | | | | | | | | | | |   (21822)  all_52_11 = e3
% 192.92/30.89  | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 192.92/30.89  | | | | | | | | | | | | | | |              e3, e0, e1, simplifying with (160), (21816) gives:
% 192.92/30.89  | | | | | | | | | | | | | | |   (21823)  all_52_14 = e3
% 192.92/30.89  | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | REDUCE: (121), (21822) imply:
% 192.92/30.89  | | | | | | | | | | | | | | |   (21824)   ~ (all_52_8 = e3)
% 192.92/30.89  | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | REDUCE: (112), (21823) imply:
% 192.92/30.89  | | | | | | | | | | | | | | |   (21825)   ~ (all_52_12 = e3)
% 192.92/30.89  | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | BETA: splitting (21792) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | |   (21826)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 192.92/30.89  | | | | | | | | | | | | | | | |            op(e0, e1) = all_14_1 & $i(all_14_0) &
% 192.92/30.89  | | | | | | | | | | | | | | | |            $i(all_14_1)
% 192.92/30.89  | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | ALPHA: (21826) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | |   (21827)   ~ (all_14_0 = e2)
% 192.92/30.89  | | | | | | | | | | | | | | | |   (21828)  op(e0, e1) = all_14_1
% 192.92/30.89  | | | | | | | | | | | | | | | |   (21829)  op(all_14_1, e0) = all_14_0
% 192.92/30.89  | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | BETA: splitting (21802) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21830)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 192.92/30.89  | | | | | | | | | | | | | | | | |            op(e0, e1) = all_16_1 & $i(all_16_0) &
% 192.92/30.89  | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | ALPHA: (21830) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21831)   ~ (all_16_0 = e3)
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21832)  op(e0, e1) = all_16_1
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21833)  op(all_16_1, e0) = all_16_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_16_1,
% 192.92/30.89  | | | | | | | | | | | | | | | | |              e1, e0, simplifying with (21821), (21832) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21834)  all_16_1 = e3
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 192.92/30.89  | | | | | | | | | | | | | | | | |              all_16_1, e1, e0, simplifying with (21828),
% 192.92/30.89  | | | | | | | | | | | | | | | | |              (21832) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21835)  all_16_1 = all_14_1
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | COMBINE_EQS: (21834), (21835) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21836)  all_14_1 = e3
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | SIMP: (21836) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21837)  all_14_1 = e3
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (21833), (21834) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21838)  op(e3, e0) = all_16_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (21829), (21837) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21839)  op(e3, e0) = all_14_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 192.92/30.89  | | | | | | | | | | | | | | | | |              all_14_0, e0, e3, simplifying with (168), (21839)
% 192.92/30.89  | | | | | | | | | | | | | | | | |              gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21840)  all_52_12 = all_14_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 192.92/30.89  | | | | | | | | | | | | | | | | |              all_16_0, e0, e3, simplifying with (168), (21838)
% 192.92/30.89  | | | | | | | | | | | | | | | | |              gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21841)  all_52_12 = all_16_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | COMBINE_EQS: (21840), (21841) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21842)  all_16_0 = all_14_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | SIMP: (21842) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21843)  all_16_0 = all_14_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (21840) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21844)  all_54_3 = all_14_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (133), (21840) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21845)   ~ (all_52_4 = all_14_0)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (120), (21840) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21846)   ~ (all_52_8 = all_14_0)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (113), (21840) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21847)   ~ (all_52_13 = all_14_0)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | SIMP: (21847) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21848)   ~ (all_52_13 = all_14_0)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (21796), (21840) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21849)   ~ (all_14_0 = e1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (21831), (21843) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21850)   ~ (all_14_0 = e3)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | |   (21851)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | BETA: splitting (21851) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21852)  all_56_0 = e2 & op(e3, e3) = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | ALPHA: (21852) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21853)  op(e3, e3) = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (21809), (21853), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21854)  all_56_1 = e2 & op(e3, e2) = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | ALPHA: (21854) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21855)  all_56_1 = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (112), (117), (121), (123), (128),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (134), (135), (136), (140), (143), (145), (148),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (162), (163), (164),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (165), (167), (169), (170), (191), (195), (197),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (201), (202), (203), (207), (214), (215), (216),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (217), (219), (221), (222), (223), (225), (226),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (229), (231), (233), (235), (238), (239), (248),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (258), (260), (270), (271), (272), (18030),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (18031), (18032), (18033), (18034), (18039),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21460), (21462), (21465), (21794), (21795),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21796), (21797), (21798), (21799), (21807),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21809), (21820), (21824), (21827), (21839),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21844), (21845), (21846), (21848), (21849),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21850), (21855), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #47.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | |   (21856)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | BETA: splitting (21856) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21857)  all_56_4 = e2 & op(e3, e1) = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (21462), (21857), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21858)  all_56_9 = e2 & op(e3, e0) = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | ALPHA: (21858) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21859)  all_56_9 = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (201), (206), (21799),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21815), (21827), (21844), (21848), (21849),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21850), (21859), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #46.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21860)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 192.92/30.89  | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | ALPHA: (21860) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21861)   ~ (all_16_1 = e2)
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21862)  op(e0, e1) = all_16_1
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_16_1,
% 192.92/30.89  | | | | | | | | | | | | | | | | |              e1, e0, simplifying with (21821), (21862) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21863)  all_16_1 = e3
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 192.92/30.89  | | | | | | | | | | | | | | | | |              all_16_1, e1, e0, simplifying with (21828),
% 192.92/30.89  | | | | | | | | | | | | | | | | |              (21862) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21864)  all_16_1 = all_14_1
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | COMBINE_EQS: (21863), (21864) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21865)  all_14_1 = e3
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | SIMP: (21865) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21866)  all_14_1 = e3
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (21829), (21866) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21867)  op(e3, e0) = all_14_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 192.92/30.89  | | | | | | | | | | | | | | | | |              all_14_0, e0, e3, simplifying with (168), (21867)
% 192.92/30.89  | | | | | | | | | | | | | | | | |              gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21868)  all_52_12 = all_14_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (21868) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21869)  all_54_3 = all_14_0
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (133), (21868) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21870)   ~ (all_52_4 = all_14_0)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (120), (21868) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21871)   ~ (all_52_8 = all_14_0)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (113), (21868) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21872)   ~ (all_52_13 = all_14_0)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | SIMP: (21872) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21873)   ~ (all_52_13 = all_14_0)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (21825), (21868) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21874)   ~ (all_14_0 = e3)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | REDUCE: (21796), (21868) imply:
% 192.92/30.89  | | | | | | | | | | | | | | | | |   (21875)   ~ (all_14_0 = e1)
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | |   (21876)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | BETA: splitting (21876) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21877)  all_56_0 = e2 & op(e3, e3) = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | ALPHA: (21877) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21878)  op(e3, e3) = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (21809), (21878), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1957.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21879)  all_56_1 = e2 & op(e3, e2) = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | ALPHA: (21879) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21880)  all_56_1 = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (112), (117), (121), (123), (128),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (134), (135), (136), (140), (143), (145), (148),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (162), (163), (164),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (165), (167), (169), (170), (191), (195), (197),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (201), (202), (203), (207), (214), (215), (216),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (217), (219), (221), (222), (223), (225), (226),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (229), (231), (233), (235), (238), (239), (248),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (258), (260), (270), (271), (272), (18030),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (18031), (18032), (18033), (18034), (18039),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21460), (21462), (21465), (21794), (21795),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21796), (21797), (21798), (21799), (21807),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21809), (21820), (21824), (21827), (21867),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21869), (21870), (21871), (21873), (21874),
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            (21875), (21880), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #47.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | |   (21881)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | BETA: splitting (21881) gives:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21882)  all_56_4 = e2 & op(e3, e1) = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (21462), (21882), (function-axioms) are
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21883)  all_56_9 = e2 & op(e3, e0) = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | ALPHA: (21883) implies:
% 192.92/30.89  | | | | | | | | | | | | | | | | | | |   (21884)  all_56_9 = e2
% 192.92/30.89  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (201), (206), (21799),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (21815), (21827), (21869), (21873), (21874),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (21875), (21884), (function-axioms) are
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #46.
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | |   (21885)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 192.92/30.90  | | | | | | | | | | | | | | | |            $i(all_14_1)
% 192.92/30.90  | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | ALPHA: (21885) implies:
% 192.92/30.90  | | | | | | | | | | | | | | | |   (21886)   ~ (all_14_1 = e3)
% 192.92/30.90  | | | | | | | | | | | | | | | |   (21887)  op(e0, e1) = all_14_1
% 192.92/30.90  | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | BETA: splitting (21802) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | |   (21888)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |            op(e0, e1) = all_16_1 & $i(all_16_0) &
% 192.92/30.90  | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | ALPHA: (21888) implies:
% 192.92/30.90  | | | | | | | | | | | | | | | | |   (21889)  op(e0, e1) = all_16_1
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | REF_CLOSE: (21821), (21886), (21887), (21889),
% 192.92/30.90  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.90  | | | | | | | | | | | | | | | | |            #117.
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | |   (21890)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | ALPHA: (21890) implies:
% 192.92/30.90  | | | | | | | | | | | | | | | | |   (21891)  op(e0, e1) = all_16_1
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | REF_CLOSE: (21821), (21886), (21887), (21891),
% 192.92/30.90  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.90  | | | | | | | | | | | | | | | | |            #117.
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | |   (21892)  all_56_15 = e3 & op(e0, e0) = e3
% 192.92/30.90  | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | ALPHA: (21892) implies:
% 192.92/30.90  | | | | | | | | | | | | | | |   (21893)  op(e0, e0) = e3
% 192.92/30.90  | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | REF_CLOSE: (8), (21799), (21893), (function-axioms) are
% 192.92/30.90  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 192.92/30.90  | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | |   (21894)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | REF_CLOSE: (279), (18040), (21467), (21804), (21894) are
% 192.92/30.90  | | | | | | | | | | |            inconsistent by sub-proof #1952.
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | |   (21895)  all_26_2 = e1
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | COMBINE_EQS: (307), (21895) imply:
% 192.92/30.90  | | | | | | | | | |   (21896)  all_6_2 = e1
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | SIMP: (21896) implies:
% 192.92/30.90  | | | | | | | | | |   (21897)  all_6_2 = e1
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | REDUCE: (340), (21897) imply:
% 192.92/30.90  | | | | | | | | | |   (21898)   ~ (all_52_2 = e1)
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | REDUCE: (344), (21897) imply:
% 192.92/30.90  | | | | | | | | | |   (21899)   ~ (all_52_4 = e1)
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | REDUCE: (21467), (21897) imply:
% 192.92/30.90  | | | | | | | | | |   (21900)   ~ (e2 = e1)
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | REDUCE: (39), (21897) imply:
% 192.92/30.90  | | | | | | | | | |   (21901)  op(e3, e3) = e1
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (148), (158), (159),
% 192.92/30.90  | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (170),
% 192.92/30.90  | | | | | | | | | |            (221), (222), (223), (226), (229), (233), (235),
% 192.92/30.90  | | | | | | | | | |            (238), (18030), (18033), (18039), (21463),
% 192.92/30.90  | | | | | | | | | |            (21465), (21794), (21795), (21797), (21798),
% 192.92/30.90  | | | | | | | | | |            (21799), (21898), (21899), (21901),
% 192.92/30.90  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.90  | | | | | | | | | |            #48.
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | 
% 192.92/30.90  | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | 
% 192.92/30.90  | | | | | | | End of split
% 192.92/30.90  | | | | | | | 
% 192.92/30.90  | | | | | | Case 2:
% 192.92/30.90  | | | | | | | 
% 192.92/30.90  | | | | | | |   (21902)  all_12_2 = e2
% 192.92/30.90  | | | | | | |   (21903)  ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 192.92/30.90  | | | | | | |              op(e3, e2) = all_12_1 & $i(all_12_0) & $i(all_12_1))
% 192.92/30.90  | | | | | | |            | ( ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 192.92/30.90  | | | | | | |              $i(all_12_1))
% 192.92/30.90  | | | | | | | 
% 192.92/30.90  | | | | | | | COMBINE_EQS: (324), (21902) imply:
% 192.92/30.90  | | | | | | |   (21904)  all_6_2 = e2
% 192.92/30.90  | | | | | | | 
% 192.92/30.90  | | | | | | | SIMP: (21904) implies:
% 192.92/30.90  | | | | | | |   (21905)  all_6_2 = e2
% 192.92/30.90  | | | | | | | 
% 192.92/30.90  | | | | | | | COMBINE_EQS: (281), (21905) imply:
% 192.92/30.90  | | | | | | |   (21906)  all_46_2 = e2
% 192.92/30.90  | | | | | | | 
% 192.92/30.90  | | | | | | | REDUCE: (338), (21905) imply:
% 192.92/30.90  | | | | | | |   (21907)   ~ (all_52_1 = e2)
% 192.92/30.90  | | | | | | | 
% 192.92/30.90  | | | | | | | REDUCE: (342), (21905) imply:
% 192.92/30.90  | | | | | | |   (21908)   ~ (all_52_3 = e2)
% 192.92/30.90  | | | | | | | 
% 192.92/30.90  | | | | | | | REDUCE: (344), (21905) imply:
% 192.92/30.90  | | | | | | |   (21909)   ~ (all_52_4 = e2)
% 192.92/30.90  | | | | | | | 
% 192.92/30.90  | | | | | | | BETA: splitting (223) gives:
% 192.92/30.90  | | | | | | | 
% 192.92/30.90  | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | 
% 192.92/30.90  | | | | | | | |   (21910)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 &
% 192.92/30.90  | | | | | | | |              op(e2, e2) = e2)
% 192.92/30.90  | | | | | | | | 
% 192.92/30.90  | | | | | | | | REF_CLOSE: (9), (167), (18039), (21907), (21910),
% 192.92/30.90  | | | | | | | |            (function-axioms) are inconsistent by sub-proof #212.
% 192.92/30.90  | | | | | | | | 
% 192.92/30.90  | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | 
% 192.92/30.90  | | | | | | | |   (21911)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 &
% 192.92/30.90  | | | | | | | |              op(e2, e0) = e2)
% 192.92/30.90  | | | | | | | | 
% 192.92/30.90  | | | | | | | | BETA: splitting (21911) gives:
% 192.92/30.90  | | | | | | | | 
% 192.92/30.90  | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | 
% 192.92/30.90  | | | | | | | | |   (21912)  all_56_5 = e2 & op(e2, e1) = e2
% 192.92/30.90  | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | ALPHA: (21912) implies:
% 192.92/30.90  | | | | | | | | |   (21913)  op(e2, e1) = e2
% 192.92/30.90  | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | REF_CLOSE: (165), (21463), (21913), (function-axioms) are
% 192.92/30.90  | | | | | | | | |            inconsistent by sub-proof #1942.
% 192.92/30.90  | | | | | | | | | 
% 192.92/30.90  | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | 
% 192.92/30.90  | | | | | | | | |   (21914)  all_56_10 = e2 & op(e2, e0) = e2
% 192.92/30.90  | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | ALPHA: (21914) implies:
% 192.92/30.90  | | | | | | | | |   (21915)  op(e2, e0) = e2
% 192.92/30.90  | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | BETA: splitting (227) gives:
% 192.92/30.90  | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | |   (21916)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 192.92/30.90  | | | | | | | | | |              & op(e2, e2) = e2)
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | REF_CLOSE: (9), (170), (18039), (21909), (21916),
% 192.92/30.90  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.90  | | | | | | | | | |            #103.
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | |   (21917)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 192.92/30.90  | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | BETA: splitting (21917) gives:
% 192.92/30.90  | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | |   (21918)  all_56_7 = e2 & op(e1, e2) = e2
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | ALPHA: (21918) implies:
% 192.92/30.90  | | | | | | | | | | |   (21919)  op(e1, e2) = e2
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | REF_CLOSE: (162), (21461), (21919), (function-axioms) are
% 192.92/30.90  | | | | | | | | | | |            inconsistent by sub-proof #429.
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | |   (21920)  all_56_13 = e2 & op(e0, e2) = e2
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | ALPHA: (21920) implies:
% 192.92/30.90  | | | | | | | | | | |   (21921)  all_56_13 = e2
% 192.92/30.90  | | | | | | | | | | |   (21922)  op(e0, e2) = e2
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | BETA: splitting (233) gives:
% 192.92/30.90  | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | |   (21923)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 192.92/30.90  | | | | | | | | | | | |              & op(e2, e3) = e2)
% 192.92/30.90  | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | BETA: splitting (21923) gives:
% 192.92/30.90  | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | |   (21924)  all_56_0 = e2 & op(e3, e3) = e2
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | ALPHA: (21924) implies:
% 192.92/30.90  | | | | | | | | | | | | |   (21925)  all_56_0 = e2
% 192.92/30.90  | | | | | | | | | | | | |   (21926)  op(e3, e3) = e2
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 192.92/30.90  | | | | | | | | | | | | |              e2, e0, simplifying with (158), (21922) gives:
% 192.92/30.90  | | | | | | | | | | | | |   (21927)  all_52_7 = e2
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 192.92/30.90  | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (21915) gives:
% 192.92/30.90  | | | | | | | | | | | | |   (21928)  all_52_13 = e2
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | REDUCE: (113), (21928) imply:
% 192.92/30.90  | | | | | | | | | | | | |   (21929)   ~ (all_52_12 = e2)
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | REDUCE: (110), (21928) imply:
% 192.92/30.90  | | | | | | | | | | | | |   (21930)   ~ (all_52_14 = e2)
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | REDUCE: (371), (21928) imply:
% 192.92/30.90  | | | | | | | | | | | | |   (21931)   ~ (all_14_2 = e2)
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | SIMP: (21931) implies:
% 192.92/30.90  | | | | | | | | | | | | |   (21932)   ~ (all_14_2 = e2)
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | REDUCE: (18034), (21928) imply:
% 192.92/30.90  | | | | | | | | | | | | |   (21933)   ~ (e3 = e2)
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | BETA: splitting (52) gives:
% 192.92/30.90  | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | |   (21934)   ~ (all_14_2 = e1)
% 192.92/30.90  | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 192.92/30.90  | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | |   (21935)   ~ (all_18_2 = e3)
% 192.92/30.90  | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | REDUCE: (301), (21935) imply:
% 192.92/30.90  | | | | | | | | | | | | | | |   (21936)   ~ (all_14_2 = e3)
% 192.92/30.90  | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | |   (21937)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.92/30.90  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.90  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.92/30.90  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.92/30.90  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.90  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.90  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.90  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.92/30.90  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.90  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.90  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.90  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.90  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.90  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.92/30.90  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.92/30.90  | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.90  | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.92/30.90  | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.92/30.90  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.92/30.90  | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.92/30.90  | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | BETA: splitting (21937) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | |   (21938)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | BETA: splitting (21938) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | |   (21939)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (21909), (21939),
% 192.92/30.90  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.90  | | | | | | | | | | | | | | | | | |            #195.
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | |   (21940)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | BETA: splitting (21940) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21941)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | ALPHA: (21941) implies:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21942)  op(e3, e3) = e1
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (21926), (21942), (function-axioms) are
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21943)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | ALPHA: (21943) implies:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21944)  op(e1, e1) = e3
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21945)  op(e1, e3) = e1
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (51), (91), (100), (117), (141),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (143), (144), (145), (148), (149), (157), (158),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (192), (196), (211),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (216), (218), (219), (220), (221), (224), (229),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (230), (231), (234), (235), (238), (239), (246),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (249), (259), (351), (362), (369), (370), (371),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (372), (18027), (18028), (18030), (18031),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (18033), (18034), (18039), (21460), (21462),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (21903), (21906), (21907), (21908), (21909),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (21926), (21929), (21932), (21934), (21936),
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            (21944), (21945), (function-axioms) are
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #85.
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | |   (21946)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.90  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.90  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.92/30.90  | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | BETA: splitting (21946) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | |   (21947)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | BETA: splitting (21947) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21948)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | ALPHA: (21948) implies:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21949)  op(e3, e3) = e0
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21926), (21949), (function-axioms) are
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21950)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | ALPHA: (21950) implies:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21951)  op(e0, e0) = e3
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (21936), (21951), (function-axioms) are
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1977.
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | |   (21952)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.90  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | BETA: splitting (21952) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21953)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | ALPHA: (21953) implies:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21954)  op(e2, e2) = e1
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (21954), (function-axioms) are
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21955)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | ALPHA: (21955) implies:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | |   (21956)  op(e1, e2) = e1
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | |   (21957)  all_54_15 = e3
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (21936), (21957) are inconsistent by
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | |   (21958)   ~ (all_54_15 = e3)
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | |   (21959)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | BETA: splitting (21959) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | |   (21960)  all_54_15 = e2
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (21932), (21960) are inconsistent by
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1648.
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | |   (21961)   ~ (all_54_15 = e2)
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | |   (21962)  all_54_15 = e1 | all_54_15 = e0
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21962) gives:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | |   (21963)  all_54_15 = e1
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (21934), (21963) are inconsistent by
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1660.
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | |   (21964)  all_54_15 = e0
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (21964) imply:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | |   (21965)  all_14_2 = e0
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | SIMP: (21965) implies:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | |   (21966)  all_14_2 = e0
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21932), (21966) imply:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | |   (21967)   ~ (e2 = e0)
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21934), (21966) imply:
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | |   (21968)   ~ (e1 = e0)
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.90  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (21966) imply:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | |   (21969)  op(e0, e0) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |   (21970)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21970) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |   (21971)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21971) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (21972)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (21972), (function-axioms) are
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (21973)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (162), (163), (21956), (21973),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |            #184.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |   (21974)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21974) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (21975)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21926), (21975), (function-axioms) are
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #798.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (21976)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (21465), (21976), (function-axioms)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #58.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |   (21977)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21977) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |   (21978)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21978) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (21979)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (21926), (21969), (21979),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |            #791.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (21980)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21980) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21981)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21981) implies:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21982)  op(e0, e0) = e1
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (21969), (21982), (function-axioms) are
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21983)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21983) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21984)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21984) implies:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21985)   ~ (all_57_11 = e2)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21986)  op(e2, e0) = all_57_11
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21915), (21985), (21986), (function-axioms) are
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #433.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21987)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21987) implies:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21988)  op(e1, e1) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (51), (91), (100), (117), (143),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (144), (145), (148), (149), (159), (160), (162),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (192), (196), (211), (216), (218), (219), (220),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (224), (229), (230), (231), (234), (235),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (246), (249), (259), (370), (371), (372),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18027), (18028), (18030), (18031), (18033),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18034), (18039), (21460), (21462), (21903),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21906), (21908), (21909), (21926), (21929),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21932), (21934), (21936), (21959), (21988),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #91.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |   (21989)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21989) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (21990)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21926), (21990), (function-axioms) are
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (21991)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21991) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21992)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21992) implies:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21993)  op(e1, e1) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (51), (91), (100), (117), (143),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (144), (145), (148), (149), (159), (160), (162),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (192), (196), (211), (216), (218), (219), (220),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (224), (229), (230), (231), (234), (235),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (246), (249), (259), (370), (371), (372),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (18027), (18028), (18030), (18031), (18033),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (18034), (18039), (21460), (21462), (21903),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (21906), (21908), (21909), (21926), (21929),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (21932), (21934), (21936), (21959), (21993),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            #91.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (21994)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21994) gives:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21995)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21995) implies:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21996)   ~ (all_57_11 = e2)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21997)  op(e2, e0) = all_57_11
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21915), (21996), (21997), (function-axioms) are
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #433.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21998)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21998) implies:
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (21999)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (158), (159), (246), (351),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (362), (369), (21926), (21934), (21962), (21999),
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #198.
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | | End of split
% 192.92/30.91  | | | | | | | | | | | | | | | | 
% 192.92/30.91  | | | | | | | | | | | | | | | Case 2:
% 192.92/30.91  | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | |   (22000)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.92  | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.92  | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.92/30.92  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.92/30.92  | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.92  | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.92  | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.92/30.92  | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.92/30.92  | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.92/30.92  | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.92/30.92  | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.92/30.92  | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.92/30.92  | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.92/30.92  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.92  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.92/30.92  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.92  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.92/30.92  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.92  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.92/30.92  | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | BETA: splitting (22000) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | |   (22001)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | BETA: splitting (22001) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | |   (22002)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | BETA: splitting (22002) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22003)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | ALPHA: (22003) implies:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22004)  op(e2, e2) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (22004), (function-axioms) are
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22005)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | ALPHA: (22005) implies:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22006)  op(e0, e2) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21922), (22006), (function-axioms) are
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | |   (22007)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | BETA: splitting (22007) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22008)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | ALPHA: (22008) implies:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22009)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (21915), (22009), (function-axioms)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #165.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22010)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | ALPHA: (22010) implies:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22011)  op(e0, e0) = e1
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (21932), (21934), (21936),
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            (22011), (function-axioms) are inconsistent by
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |            sub-proof #1641.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | |   (22012)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.92/30.92  | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.92  | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | BETA: splitting (22012) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | |   (22013)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (21926), (22013), (function-axioms)
% 192.92/30.92  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #84.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | |   (22014)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (18039), (21465), (21915), (22014),
% 192.92/30.92  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.92  | | | | | | | | | | | | | | | | | |            #45.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | End of split
% 192.92/30.92  | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | End of split
% 192.92/30.92  | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | |   (22015)  all_18_2 = e3
% 192.92/30.92  | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | COMBINE_EQS: (301), (22015) imply:
% 192.92/30.92  | | | | | | | | | | | | | | |   (22016)  all_14_2 = e3
% 192.92/30.92  | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | SIMP: (22016) implies:
% 192.92/30.92  | | | | | | | | | | | | | | |   (22017)  all_14_2 = e3
% 192.92/30.92  | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | REDUCE: (372), (22017) imply:
% 192.92/30.92  | | | | | | | | | | | | | | |   (22018)   ~ (all_52_14 = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | REDUCE: (51), (22017) imply:
% 192.92/30.92  | | | | | | | | | | | | | | |   (22019)  op(e0, e0) = e3
% 192.92/30.92  | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | |   (22020)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 192.92/30.92  | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | BETA: splitting (22020) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | |   (22021)  all_56_4 = e3 & op(e3, e1) = e3
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | ALPHA: (22021) implies:
% 192.92/30.92  | | | | | | | | | | | | | | | | |   (22022)  op(e3, e1) = e3
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | |   (22023)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 192.92/30.92  | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | BETA: splitting (22023) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22024)  all_56_6 = e3 & op(e1, e3) = e3
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | ALPHA: (22024) implies:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22025)  op(e1, e3) = e3
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (22025) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22026)  all_52_2 = e3
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (22022) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | |   (22027)  all_52_8 = e3
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |   (22028)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (18039), (21465), (21907), (21926),
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |            (22025), (22028), (function-axioms) are
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #44.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |   (22029)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | BETA: splitting (22029) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |   (22030)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22030) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |   (22031)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (21926), (22019), (22031),
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |            #676.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |   (22032)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (120), (168), (169), (22019), (22022),
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |            (22032), (function-axioms) are inconsistent by
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #655.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |   (22033)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22033) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |   (22034)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21926), (22034), (function-axioms) are
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |   (22035)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22035) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |   (22036)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22036) implies:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |   (22037)  op(e1, e1) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21465), (22037), (function-axioms) are
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |   (22038)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22038) gives:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | |   (22039)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22039) implies:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | |   (22040)   ~ (all_57_11 = e2)
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | |   (22041)  op(e2, e0) = all_57_11
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21915), (22040), (22041), (function-axioms) are
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #433.
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |   (22042)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22042) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |   (22043)  op(e0, e0) = all_57_15
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |   (22044)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22044) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (22045)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22045) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22046)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22046) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22047)   ~ (all_57_15 = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22019), (22043), (22047), (function-axioms) are
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1276.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22048)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21922), (22019), (22043), (22048),
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            #422.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (22049)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22049) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22050)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22050) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22051)  op(e0, e2) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21922), (22051), (function-axioms) are
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22052)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18039), (21926), (22052),
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            #101.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | |   (22053)  all_56_7 = e3 & op(e1, e2) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | ALPHA: (22053) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | |   (22054)  op(e1, e2) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (18031), (22054), (function-axioms) are
% 192.92/30.93  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | |   (22055)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (21465), (22018), (22055),
% 192.92/30.93  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.93  | | | | | | | | | | | | | | | | | |            #507.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22056)  all_56_5 = e3 & op(e2, e1) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | ALPHA: (22056) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22057)  op(e2, e1) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (18033), (22057), (function-axioms) are
% 192.92/30.93  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | |   (22058)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 192.92/30.93  | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | BETA: splitting (22058) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22059)  all_56_8 = e3 & op(e1, e1) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | ALPHA: (22059) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22060)  op(e1, e1) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (21465), (22060), (function-axioms) are
% 192.92/30.93  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22061)  all_56_14 = e3 & op(e0, e1) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | ALPHA: (22061) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22062)  all_56_14 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 192.92/30.93  | | | | | | | | | | | | | | | | |            (21921), (22019), (22062), (function-axioms) are
% 192.92/30.93  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #65.
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | |   (22063)  all_14_2 = e1
% 192.92/30.93  | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | REDUCE: (351), (22063) imply:
% 192.92/30.93  | | | | | | | | | | | | | |   (22064)   ~ (all_52_3 = e1)
% 192.92/30.93  | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | REDUCE: (369), (22063) imply:
% 192.92/30.93  | | | | | | | | | | | | | |   (22065)   ~ (all_52_11 = e1)
% 192.92/30.93  | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | REDUCE: (370), (22063) imply:
% 192.92/30.93  | | | | | | | | | | | | | |   (22066)   ~ (all_52_12 = e1)
% 192.92/30.93  | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | REDUCE: (372), (22063) imply:
% 192.92/30.93  | | | | | | | | | | | | | |   (22067)   ~ (all_52_14 = e1)
% 192.92/30.93  | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | REDUCE: (21932), (22063) imply:
% 192.92/30.93  | | | | | | | | | | | | | |   (22068)   ~ (e2 = e1)
% 192.92/30.93  | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | REDUCE: (51), (22063) imply:
% 192.92/30.93  | | | | | | | | | | | | | |   (22069)  op(e0, e0) = e1
% 192.92/30.93  | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 192.92/30.93  | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | |   (22070)  all_54_9 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | REF_CLOSE: (258), (18031), (22070) are inconsistent by
% 192.92/30.93  | | | | | | | | | | | | | | |            sub-proof #715.
% 192.92/30.93  | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | |   (22071)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 192.92/30.93  | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | |   (22072)  all_54_1 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | REF_CLOSE: (272), (18030), (22072) are inconsistent by
% 192.92/30.93  | | | | | | | | | | | | | | | |            sub-proof #1763.
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | |   (22073)   ~ (all_54_1 = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | |   (22074)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22075)  all_54_11 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (22075) imply:
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22076)  all_52_14 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | SIMP: (22076) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22077)  all_52_14 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | REDUCE: (141), (22077) imply:
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22078)   ~ (all_52_2 = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | REDUCE: (112), (22077) imply:
% 192.92/30.93  | | | | | | | | | | | | | | | | |   (22079)   ~ (all_52_12 = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | |   (22080)  all_54_3 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (22079), (22080) are inconsistent by
% 192.92/30.93  | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | |   (22081)   ~ (all_54_3 = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | | |   (22082)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | |   (22083)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (18029), (21926), (22083),
% 192.92/30.93  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.93  | | | | | | | | | | | | | | | | | | |            #87.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | |   (22084)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | BETA: splitting (22084) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | |   (22085)  all_56_6 = e3 & op(e1, e3) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | ALPHA: (22085) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | |   (22086)  op(e1, e3) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (22078), (22086), (function-axioms) are
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | |   (22087)  all_56_12 = e3 & op(e0, e3) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | ALPHA: (22087) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | |   (22088)  all_56_12 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | BETA: splitting (22082) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | |   (22089)  all_54_3 = e2
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (21929), (22089) are inconsistent by
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1689.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | |   (22090)  all_54_3 = e1 | all_54_3 = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | |   (22091)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (18030), (21926), (22091),
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | |            #826.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | |   (22092)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22092) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | |   (22093)  all_56_4 = e3 & op(e3, e1) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22093) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | |   (22094)  all_56_4 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | |   (22095)  op(e3, e1) = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |   (22096)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22096) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (22097)  all_56_0 = e1 & op(e3, e3) = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22097) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (22098)  op(e3, e3) = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (21926), (22098), (function-axioms) are
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (22099)  all_56_1 = e1 & op(e3, e2) = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22099) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (22100)  all_56_1 = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22101)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (21926), (22100), (22101),
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            #622.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22102)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22102) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22103)  all_56_4 = e0 & op(e3, e1) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (22094), (22103) are inconsistent by
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #978.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22104)  all_56_9 = e0 & op(e3, e0) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22104) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22105)  all_56_9 = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22106)  all_56_15 = e0 & op(e0, e0) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22106) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22107)  op(e0, e0) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22069), (22107), (function-axioms) are
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22108)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22108) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22109)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22109) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22110)  all_56_12 = e0 & op(e0, e3) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (22088), (22110) are inconsistent by
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1846.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22111)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22111) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22112)  all_56_13 = e0 & op(e0, e2) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22112) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22113)  op(e0, e2) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21922), (22113), (function-axioms) are
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22114)  all_56_14 = e0 & op(e0, e1) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22114) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22115)  op(e0, e1) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22116)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (18039), (22100), (22116),
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #132.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22117)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22117) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22118)  all_56_7 = e0 & op(e1, e2) = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22118) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22119)  all_56_7 = e0
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22120)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22120) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22121)  all_56_6 = e1 & op(e1, e3) = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22121) implies:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22122)  op(e1, e3) = e1
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22123)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22123) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22124)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22124) gives:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22125)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (21909), (22125),
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22126)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (21926), (22095), (22126),
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #637.
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 192.92/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22127)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22127) gives:
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22128)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22128) gives:
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22129)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22129) implies:
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22130)  op(e3, e3) = e0
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21926), (22130), (function-axioms) are
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22131)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22131) implies:
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22132)  op(e0, e3) = e0
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (22115), (22132),
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1671.
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22133)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (143), (162), (163), (18039), (22122),
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22133), (function-axioms) are inconsistent by
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #43.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22134)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22134) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22135)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22135) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22136)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22136) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22137)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22137) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22138)  op(e2, e2) = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (22138), (function-axioms) are
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22139)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22139) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22140)  op(e0, e2) = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (157), (158), (22115), (22140),
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #493.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22141)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (157), (160), (270), (22065), (22066),
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22090), (22141), (function-axioms) are
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #993.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22142)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22142) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22143)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22143) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22144)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22144) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22145)  op(e3, e3) = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22146)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (22100), (22145), (22146),
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1502.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22147)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (22094), (22105), (22147) are
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1918.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22148)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22148) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22149)  op(e2, e2) = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (22149), (function-axioms) are
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22150)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (18039), (21465), (21915), (22150),
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #45.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22151)  all_56_7 = e1 & op(e1, e2) = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22151) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22152)  all_56_7 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22119), (22152) are inconsistent by
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1522.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22153)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (21465), (22067), (22153),
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #436.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22154)  all_56_13 = e0 & op(e0, e2) = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22154) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22155)  op(e0, e2) = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (157), (158), (22115), (22155),
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #493.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | |   (22156)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (22066), (22095), (22156),
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | |            #42.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | |   (22157)  all_56_9 = e3 & op(e3, e0) = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22157) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | |   (22158)  op(e3, e0) = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (22079), (22158), (function-axioms) are
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | End of split
% 193.03/30.94  | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | |   (22159)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | BETA: splitting (22159) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | |   (22160)  all_54_11 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (21464), (22160) are inconsistent by
% 193.03/30.94  | | | | | | | | | | | | | | | | | |            sub-proof #1339.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | |   (22161)   ~ (all_54_11 = e2)
% 193.03/30.94  | | | | | | | | | | | | | | | | | |   (22162)  all_54_11 = e1 | all_54_11 = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | BETA: splitting (22162) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | |   (22163)  all_54_11 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (22163) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | |   (22164)  all_52_14 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | REDUCE: (22067), (22164) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | |   (22165)  $false
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | CLOSE: (22165) is inconsistent.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | |   (22166)  all_54_11 = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (22166) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | |   (22167)  all_52_14 = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | REDUCE: (141), (22167) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | |   (22168)   ~ (all_52_2 = e0)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | REDUCE: (126), (22167) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | |   (22169)   ~ (all_52_6 = e0)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | REDUCE: (112), (22167) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | |   (22170)   ~ (all_52_12 = e0)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | REDUCE: (21464), (22167) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | |   (22171)   ~ (e2 = e0)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | REDUCE: (160), (22167) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | |   (22172)  op(e1, e0) = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | |   (22173)  all_54_3 = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (22173) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | |   (22174)  all_52_12 = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | SIMP: (22174) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | |   (22175)  all_52_12 = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (22175) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | |   (22176)   ~ (all_52_8 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (22175) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | |   (22177)  op(e3, e0) = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | BETA: splitting (22071) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | |   (22178)  all_54_9 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (21461), (22178) are inconsistent by
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1142.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | |   (22179)   ~ (all_54_9 = e2)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | |   (22180)  all_54_9 = e1 | all_54_9 = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22180) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | |   (22181)  all_54_9 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (22181) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | |   (22182)  all_52_6 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | SIMP: (22182) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | |   (22183)  all_52_6 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (22183) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | |   (22184)   ~ (all_52_2 = e1)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (22183) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | |   (22185)   ~ (all_52_4 = e1)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | |   (22186)  all_54_8 = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (22186) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | |   (22187)  all_52_2 = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22187) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | |   (22188)  all_52_2 = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (22188) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | |   (22189)   ~ (all_52_3 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22189) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | |   (22190)   ~ (all_52_3 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (22188) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | |   (22191)  op(e1, e3) = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | |   (22192)  all_54_12 = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (22192) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | |   (22193)  all_52_3 = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22190), (22193) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | |   (22194)  $false
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22194) is inconsistent.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | |   (22195)   ~ (all_54_12 = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | |   (22196)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (22197)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (18032), (22190), (22197),
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | |            #322.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (22198)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22198) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22199)  all_56_14 = e3 & op(e0, e1) = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22199) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22200)  all_56_14 = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22074) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22201)  all_54_1 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (22201) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22202)  all_52_4 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21909), (22202) imply:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22203)  $false
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22203) is inconsistent.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22204)   ~ (all_54_1 = e2)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22205)  all_54_1 = e1 | all_54_1 = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22206)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22206) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22207)  all_56_0 = e1 & op(e3, e3) = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22207) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22208)  op(e3, e3) = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (21926), (22208), (function-axioms) are
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1934.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22209)  all_56_2 = e1 & op(e2, e3) = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22209) implies:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22210)  all_56_2 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22211)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (18039), (21465), (21907), (21926),
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22191), (22211), (function-axioms) are
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #44.
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22212)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22212) gives:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22213)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22213) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22214)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22214) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22215)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22215) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22216)  op(e3, e1) = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (22176), (22216), (function-axioms) are
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22217)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22217) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22218)  op(e3, e3) = e1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22210), (22218), (function-axioms) are
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1844.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22219)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22219) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22220)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22220) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22221)  op(e2, e1) = e2
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (21463), (22221), (function-axioms) are
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22222)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21465), (21915), (22222), (function-axioms)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #432.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22223)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22223) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22224)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21926), (22224), (function-axioms) are
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #819.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22225)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22225) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22226)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22226) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22227)  op(e1, e1) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21465), (22227), (function-axioms) are
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22228)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22228) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22229)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22229) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22230)  op(e1, e0) = e1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22172), (22230), (function-axioms) are
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22231)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22231) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22232)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22232) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22233)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22233) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22234)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22234) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22235)  op(e0, e3) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22205) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22236)  all_54_1 = e1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (22236) imply:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22237)  all_52_4 = e1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22237) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22238)  all_52_4 = e1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22185), (22238) imply:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22239)  $false
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22239) is inconsistent.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22240)  all_54_1 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (22240) imply:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22241)  all_52_4 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22241) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22242)  all_52_4 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (22242) imply:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22243)   ~ (all_52_8 = e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22243) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22244)   ~ (all_52_8 = e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22245)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22245) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22246)  all_56_4 = e0 & op(e3, e1) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (22244), (22246), (function-axioms) are
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22247)  all_56_5 = e0 & op(e2, e1) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22247) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22248)  op(e2, e1) = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22196) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22249)  all_54_12 = e2
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (21908), (22249) are inconsistent by
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1465.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22250)   ~ (all_54_12 = e2)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22251)  all_54_12 = e1 | all_54_12 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22251) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22252)  all_54_12 = e1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (22064), (22252) are inconsistent by
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1464.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22253)  all_54_12 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (22253) imply:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22254)  all_52_3 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22254) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22255)  all_52_3 = e0
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (22255) imply:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22256)   ~ (all_52_11 = e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22256) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22257)   ~ (all_52_11 = e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22190), (22255) imply:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22258)   ~ (e3 = e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22064), (22255) imply:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22259)   ~ (e1 = e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22260)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22260) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22261)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22261) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22262)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (21909), (22262),
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22263)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22263) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22264)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22264) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22265)  op(e3, e3) = e1
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22210), (22265), (function-axioms) are
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1844.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22266)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22266) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22267)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22069), (22235), (22267), (function-axioms)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #911.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22268)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22268) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22269)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (168), (21926), (22170), (22269),
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #658.
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22270)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22270) gives:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22271)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22271) implies:
% 193.03/30.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22272)  op(e2, e2) = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (22272), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22273)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22273) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22274)  op(e2, e1) = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22248), (22274), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #72.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22275)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22275) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22276)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22276) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22277)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22277) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22278)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22278) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22279)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (202), (271), (21462), (21926), (22176),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22177), (22279), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22280)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22280) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22281)  op(e2, e0) = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (164), (250), (22067), (22162), (22281),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #328.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22282)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22282) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22283)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22283) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22284)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (202), (271), (21462), (21926), (22176),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22177), (22284), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22285)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22285) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22286)  op(e0, e1) = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (22257), (22286), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22287)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22287) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22288)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22288) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22289)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22289) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22290)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22069), (22235), (22290), (function-axioms)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #911.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22291)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22291) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22292)  op(e2, e2) = e2
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (22292), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22293)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22293) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22294)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22294) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22295)  op(e1, e1) = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (165), (169), (219), (21462), (21463),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22200), (22295), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22296)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22296) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22297)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (202), (271), (21462), (21926), (22176),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22177), (22297), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22298)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22298) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22299)  all_56_8 = e0 & op(e1, e1) = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22299) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22300)  op(e1, e1) = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21465), (22300), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22301)  all_56_14 = e0 & op(e0, e1) = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22301) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22302)  op(e0, e1) = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (22235), (22302),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1671.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22303)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e0 & $i(all_57_3))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22303) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22304)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22304) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22305)  op(e1, e1) = e3
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (168), (169),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (230), (232), (236), (21925),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (21926), (22065), (22066), (22176), (22200),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22305), (function-axioms) are inconsistent by
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #572.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22306)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22306) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22307)  op(e0, e2) = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21922), (22307), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22308)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22308) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22309)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22309) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22310)  op(e0, e2) = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21922), (22310), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22311)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22311) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22312)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22312) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22313)  op(e3, e3) = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22210), (22313), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1844.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22314)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22314) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22315)  op(e2, e2) = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (22315), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22316)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22316) gives:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22317)  all_56_6 = e1 & op(e1, e3) = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22317) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22318)  op(e1, e3) = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22191), (22318), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #142.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22319)  all_56_12 = e1 & op(e0, e3) = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22319) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22320)  op(e0, e3) = e1
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (22064), (22320), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1950.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22321)  all_56_15 = e3 & op(e0, e0) = e3
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22321) implies:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22322)  op(e0, e0) = e3
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22069), (22322), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | |   (22323)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (21460), (22168), (22184), (22323) are
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #670.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | |   (22324)  all_54_9 = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (22169), (22324) are inconsistent by
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1803.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | |   (22325)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (21929), (22066), (22172),
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | |            (22325), (function-axioms) are inconsistent by
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | |            sub-proof #1686.
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | |   (22326)  all_56_2 = e2 & op(e2, e3) = e2
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | ALPHA: (22326) implies:
% 193.03/30.96  | | | | | | | | | | | | |   (22327)  op(e2, e3) = e2
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | REF_CLOSE: (167), (21907), (22327), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | |            inconsistent by sub-proof #1785.
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | |   (22328)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 193.03/30.96  | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 193.03/30.96  | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | BETA: splitting (22328) gives:
% 193.03/30.96  | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | |   (22329)  all_56_6 = e2 & op(e1, e3) = e2
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | REF_CLOSE: (163), (21460), (22329), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | Case 2:
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | |   (22330)  all_56_12 = e2 & op(e0, e3) = e2
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | | REF_CLOSE: (159), (21908), (22330), (function-axioms) are
% 193.03/30.96  | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 193.03/30.96  | | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | | 
% 193.03/30.96  | | | | | | | | End of split
% 193.03/30.96  | | | | | | | | 
% 193.03/30.96  | | | | | | | End of split
% 193.03/30.96  | | | | | | | 
% 193.03/30.96  | | | | | | End of split
% 193.03/30.96  | | | | | | 
% 193.03/30.96  | | | | | End of split
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | Case 2:
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | |   (22331)  all_6_2 = e0
% 193.03/30.96  | | | | |   (22332)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0)
% 193.03/30.96  | | | | |              = all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 =
% 193.03/30.96  | | | | |                e2) & op(e3, e0) = all_6_1 & $i(all_6_1))
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | | COMBINE_EQS: (329), (22331) imply:
% 193.03/30.96  | | | | |   (22333)  all_8_2 = e0
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | | REDUCE: (338), (22331) imply:
% 193.03/30.96  | | | | |   (22334)   ~ (all_52_1 = e0)
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | | REDUCE: (340), (22331) imply:
% 193.03/30.96  | | | | |   (22335)   ~ (all_52_2 = e0)
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | | REDUCE: (342), (22331) imply:
% 193.03/30.96  | | | | |   (22336)   ~ (all_52_3 = e0)
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | | REDUCE: (344), (22331) imply:
% 193.03/30.96  | | | | |   (22337)   ~ (all_52_4 = e0)
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | | REDUCE: (346), (22331) imply:
% 193.03/30.96  | | | | |   (22338)   ~ (all_52_8 = e0)
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | | REDUCE: (348), (22331) imply:
% 193.03/30.96  | | | | |   (22339)   ~ (all_52_12 = e0)
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | | REDUCE: (39), (22331) imply:
% 193.03/30.96  | | | | |   (22340)  op(e3, e3) = e0
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | | BETA: splitting (43) gives:
% 193.03/30.96  | | | | | 
% 193.03/30.96  | | | | | Case 1:
% 193.03/30.96  | | | | | | 
% 193.03/30.96  | | | | | |   (22341)   ~ (all_8_2 = e0)
% 193.03/30.96  | | | | | | 
% 193.03/30.96  | | | | | | REDUCE: (22333), (22341) imply:
% 193.03/30.96  | | | | | |   (22342)  $false
% 193.03/30.96  | | | | | | 
% 193.03/30.96  | | | | | | CLOSE: (22342) is inconsistent.
% 193.03/30.96  | | | | | | 
% 193.03/30.96  | | | | | Case 2:
% 193.03/30.96  | | | | | | 
% 193.03/30.96  | | | | | |   (22343)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3,
% 193.03/30.96  | | | | | |                e0) = all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~
% 193.03/30.96  | | | | | |              (all_8_1 = e1) & op(e3, e0) = all_8_1 & $i(all_8_1))
% 193.03/30.96  | | | | | | 
% 193.03/30.96  | | | | | | BETA: splitting (46) gives:
% 193.03/30.96  | | | | | | 
% 193.03/30.96  | | | | | | Case 1:
% 193.03/30.96  | | | | | | | 
% 193.03/30.96  | | | | | | |   (22344)   ~ (all_10_2 = e2)
% 193.03/30.96  | | | | | | | 
% 193.03/30.96  | | | | | | | BETA: splitting (52) gives:
% 193.03/30.96  | | | | | | | 
% 193.03/30.96  | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | 
% 193.03/30.96  | | | | | | | |   (22345)   ~ (all_14_2 = e1)
% 193.03/30.96  | | | | | | | | 
% 193.03/30.96  | | | | | | | | BETA: splitting (58) gives:
% 193.03/30.96  | | | | | | | | 
% 193.03/30.96  | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | 
% 193.03/30.96  | | | | | | | | |   (22346)   ~ (all_18_2 = e3)
% 193.03/30.96  | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | REDUCE: (301), (22346) imply:
% 193.03/30.96  | | | | | | | | |   (22347)   ~ (all_14_2 = e3)
% 193.03/30.96  | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | BETA: splitting (61) gives:
% 193.03/30.96  | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | |   (22348)   ~ (all_20_2 = e3)
% 193.03/30.96  | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | REDUCE: (325), (22348) imply:
% 193.03/30.96  | | | | | | | | | |   (22349)   ~ (all_10_2 = e3)
% 193.03/30.96  | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | BETA: splitting (64) gives:
% 193.03/30.96  | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | Case 1:
% 193.03/30.96  | | | | | | | | | | | 
% 193.03/30.96  | | | | | | | | | | |   (22350)   ~ (all_22_2 = e0)
% 193.03/30.96  | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | REDUCE: (251), (22350) imply:
% 193.03/30.97  | | | | | | | | | | |   (22351)   ~ (all_10_2 = e0)
% 193.03/30.97  | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | BETA: splitting (194) gives:
% 193.03/30.97  | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | |   (22352)  all_54_10 = e3
% 193.03/30.97  | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | REF_CLOSE: (336), (22349), (22352) are inconsistent by
% 193.03/30.97  | | | | | | | | | | | |            sub-proof #983.
% 193.03/30.97  | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | |   (22353)   ~ (all_54_10 = e3)
% 193.03/30.97  | | | | | | | | | | | |   (22354)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 193.03/30.97  | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | BETA: splitting (22354) gives:
% 193.03/30.97  | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | |   (22355)  all_54_10 = e2
% 193.03/30.97  | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | REF_CLOSE: (336), (22344), (22355) are inconsistent by
% 193.03/30.97  | | | | | | | | | | | | |            sub-proof #982.
% 193.03/30.97  | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | |   (22356)   ~ (all_54_10 = e2)
% 193.03/30.97  | | | | | | | | | | | | |   (22357)  all_54_10 = e1 | all_54_10 = e0
% 193.03/30.97  | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | BETA: splitting (22357) gives:
% 193.03/30.97  | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | |   (22358)  all_54_10 = e1
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | COMBINE_EQS: (336), (22358) imply:
% 193.03/30.97  | | | | | | | | | | | | | |   (22359)  all_10_2 = e1
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | SIMP: (22359) implies:
% 193.03/30.97  | | | | | | | | | | | | | |   (22360)  all_10_2 = e1
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | REDUCE: (350), (22360) imply:
% 193.03/30.97  | | | | | | | | | | | | | |   (22361)   ~ (all_52_2 = e1)
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | REDUCE: (361), (22360) imply:
% 193.03/30.97  | | | | | | | | | | | | | |   (22362)   ~ (all_52_6 = e1)
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | REDUCE: (366), (22360) imply:
% 193.03/30.97  | | | | | | | | | | | | | |   (22363)   ~ (all_52_11 = e1)
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | REDUCE: (368), (22360) imply:
% 193.03/30.97  | | | | | | | | | | | | | |   (22364)   ~ (all_52_14 = e1)
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | REDUCE: (22349), (22360) imply:
% 193.03/30.97  | | | | | | | | | | | | | |   (22365)   ~ (e3 = e1)
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | REDUCE: (22344), (22360) imply:
% 193.03/30.97  | | | | | | | | | | | | | |   (22366)   ~ (e2 = e1)
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | REDUCE: (45), (22360) imply:
% 193.03/30.97  | | | | | | | | | | | | | |   (22367)  op(e1, e1) = e1
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.03/30.97  | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | |   (22368)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.03/30.97  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.03/30.97  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.03/30.97  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.03/30.97  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.97  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.03/30.97  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.03/30.97  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.03/30.97  | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.03/30.97  | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.03/30.97  | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.03/30.97  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.03/30.97  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.03/30.97  | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.03/30.97  | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 193.03/30.97  | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.03/30.97  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.03/30.97  | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.03/30.97  | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.03/30.97  | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.03/30.97  | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.03/30.97  | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (163), (170), (18030), (18039),
% 193.03/30.97  | | | | | | | | | | | | | | |            (22361), (22362), (22368), (function-axioms) are
% 193.03/30.97  | | | | | | | | | | | | | | |            inconsistent by sub-proof #217.
% 193.03/30.97  | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | |   (22369)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.03/30.97  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.03/30.97  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.03/30.97  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.03/30.97  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.03/30.97  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.03/30.97  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.03/30.97  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.03/30.97  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.03/30.97  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.03/30.97  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.03/30.97  | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.03/30.97  | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.03/30.97  | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.03/30.97  | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.03/30.97  | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.03/30.97  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.03/30.97  | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.03/30.97  | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.03/30.97  | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.03/30.97  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.03/30.97  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.03/30.97  | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.03/30.97  | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.03/30.97  | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.03/30.97  | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.03/30.97  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.03/30.97  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.03/30.97  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.03/30.97  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.03/30.97  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.03/30.97  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.03/30.97  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.03/30.97  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.03/30.97  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.03/30.97  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.03/30.97  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.03/30.97  | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | BETA: splitting (22369) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | |   (22370)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.03/30.97  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.03/30.97  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.03/30.97  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.03/30.97  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.03/30.97  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.03/30.97  | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.03/30.97  | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.03/30.97  | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.03/30.97  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.03/30.97  | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.03/30.97  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.03/30.97  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.03/30.97  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 193.03/30.97  | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (51), (22340), (22345), (22370),
% 193.03/30.97  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.97  | | | | | | | | | | | | | | | |            #377.
% 193.03/30.97  | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | |   (22371)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.03/30.97  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.03/30.97  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.03/30.97  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.03/30.97  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.03/30.97  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.03/30.97  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.03/30.97  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 193.03/30.97  | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 193.03/30.97  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.03/30.97  | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 193.03/30.97  | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.03/30.97  | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.03/30.97  | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.03/30.97  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.03/30.97  | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.97  | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.03/30.97  | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 193.03/30.97  | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.03/30.97  | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.03/30.97  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.03/30.97  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.03/30.97  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.03/30.97  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.03/30.97  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.03/30.97  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.03/30.97  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.03/30.97  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.03/30.97  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.03/30.97  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.03/30.97  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.03/30.97  | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | BETA: splitting (22371) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | |   (22372)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.03/30.97  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.03/30.97  | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.03/30.97  | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.03/30.97  | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.03/30.97  | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.03/30.97  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.03/30.97  | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 193.03/30.97  | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | BETA: splitting (22372) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22373)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.03/30.97  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | ALPHA: (22373) implies:
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22374)   ~ (all_57_12 = e0)
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22375)   ~ (all_57_9 = e3)
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22376)  op(e2, e0) = e2
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22377)  op(e2, e2) = all_57_12
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22378)  op(e3, e0) = all_57_9
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 193.03/30.97  | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (22376) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22379)  all_52_13 = e2
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 193.03/30.97  | | | | | | | | | | | | | | | | | |              all_57_12, e2, e2, simplifying with (18039),
% 193.03/30.97  | | | | | | | | | | | | | | | | | |              (22377) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22380)  all_57_12 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 193.03/30.97  | | | | | | | | | | | | | | | | | |              all_57_9, e0, e3, simplifying with (168), (22378)
% 193.03/30.97  | | | | | | | | | | | | | | | | | |              gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22381)  all_57_9 = all_52_12
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | REDUCE: (22375), (22381) imply:
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22382)   ~ (all_52_12 = e3)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | REDUCE: (145), (22379) imply:
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22383)   ~ (all_52_1 = e2)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | REDUCE: (117), (22379) imply:
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22384)   ~ (all_52_9 = e2)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | REDUCE: (371), (22379) imply:
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22385)   ~ (all_14_2 = e2)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | SIMP: (22385) implies:
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22386)   ~ (all_14_2 = e2)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | REDUCE: (18034), (22379) imply:
% 193.03/30.97  | | | | | | | | | | | | | | | | | |   (22387)   ~ (e3 = e2)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | |   (22388)  all_54_4 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (22388) imply:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | |   (22389)  all_52_1 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | REDUCE: (18029), (22389) imply:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | |   (22390)  $false
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | CLOSE: (22390) is inconsistent.
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | |   (22391)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | |   (22392)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (18030), (22340), (22392),
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | |            #41.
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | |   (22393)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | BETA: splitting (22393) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | |   (22394)  all_56_4 = e3 & op(e3, e1) = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | ALPHA: (22394) implies:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | |   (22395)  op(e3, e1) = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | |   (22396)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22396) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | |   (22397)  all_56_2 = e1 & op(e2, e3) = e1
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22397) implies:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | |   (22398)  all_56_2 = e1
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22391) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | |   (22399)  all_54_4 = e2
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (22383), (22399) are inconsistent by
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1833.
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | |   (22400)   ~ (all_54_4 = e2)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | |   (22401)  all_54_4 = e1 | all_54_4 = e0
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (22402)  all_54_15 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (22347), (22402) are inconsistent by
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1675.
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (22403)   ~ (all_54_15 = e3)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (22404)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22405)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22405) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22406)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22406) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22407)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22407) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22408)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22408) implies:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22409)  op(e3, e2) = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (22409), (function-axioms) are
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22410)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22410) implies:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22411)  op(e2, e3) = e2
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (22383), (22411), (function-axioms) are
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1785.
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22412)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22412) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22413)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22413) implies:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22414)  op(e3, e3) = e1
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22398), (22414), (function-axioms) are
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1844.
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22415)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22415) implies:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22416)  op(e1, e3) = e1
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (269), (22334), (22401), (22416),
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #687.
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22417)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22417) gives:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22418)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (159), (168), (169), (22336), (22395),
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22418), (function-axioms) are inconsistent by
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #225.
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22419)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (18039), (22362), (22419),
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #215.
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22420)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22420) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22421)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22421) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22422)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22422) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22423)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22423) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22424)  op(e2, e2) = e0
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22374), (22377), (22424), (function-axioms) are
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1381.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22425)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22425) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22426)  op(e0, e0) = e2
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (246), (22345), (22386), (22404), (22426),
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1644.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22427)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22427) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22428)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22428) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22429)  op(e0, e1) = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (22363), (22429), (function-axioms) are
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1885.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22430)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22430) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22431)  op(e0, e0) = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (189), (246), (22345), (22347), (22386),
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22431), (function-axioms) are inconsistent by
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1641.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22432)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22432) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22433)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (18039), (22340), (22433),
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #40.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22434)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22434) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22435)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22340), (22395), (22435), (function-axioms)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #39.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22436)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22436) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22437)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (22376), (22437), (function-axioms)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #165.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | |   (22438)  all_56_3 = e1 & op(e2, e2) = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22438) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | |   (22439)  op(e2, e2) = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (22439), (function-axioms) are
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | |   (22440)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22440) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | |   (22441)  all_56_5 = e1 & op(e2, e1) = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22441) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | |   (22442)  op(e2, e1) = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (165), (167), (221), (223),
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | |            (18039), (22334), (22383), (22384), (22442),
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | |            #49.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | |   (22443)  all_56_10 = e1 & op(e2, e0) = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22443) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | |   (22444)  op(e2, e0) = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22391) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | |   (22445)  all_54_4 = e2
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (22383), (22445) are inconsistent by
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1833.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | |   (22446)  all_54_4 = e1 | all_54_4 = e0
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (22334), (22444), (22446),
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | |            #690.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | |   (22447)  all_56_9 = e3 & op(e3, e0) = e3
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | ALPHA: (22447) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | |   (22448)  op(e3, e0) = e3
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (22382), (22448), (function-axioms) are
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | |   (22449)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | ALPHA: (22449) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | |   (22450)  op(e1, e0) = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (22364), (22450), (function-axioms) are
% 193.03/30.98  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | |   (22451)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.03/30.98  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.03/30.98  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.03/30.98  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.03/30.98  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.03/30.98  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.03/30.98  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.03/30.98  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.03/30.98  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.03/30.98  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.03/30.98  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.03/30.98  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.03/30.98  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.03/30.98  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.03/30.98  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.03/30.98  | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | BETA: splitting (22451) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | |   (22452)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | ALPHA: (22452) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | |   (22453)  op(e1, e1) = e0
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22367), (22453), (function-axioms) are
% 193.03/30.98  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | |   (22454)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 193.03/30.98  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 193.03/30.98  | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | BETA: splitting (22454) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |   (22455)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | ALPHA: (22455) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |   (22456)  op(e1, e0) = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (22364), (22456), (function-axioms) are
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |   (22457)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | ALPHA: (22457) implies:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |   (22458)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | BETA: splitting (22458) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |   (22459)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (22336), (22340), (22459),
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |            #38.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |   (22460)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (18039), (22340), (22367), (22460),
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | |            #36.
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | |   (22461)  all_54_10 = e0
% 193.03/30.98  | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | REF_CLOSE: (336), (22351), (22461) are inconsistent by
% 193.03/30.98  | | | | | | | | | | | | | |            sub-proof #932.
% 193.03/30.98  | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | End of split
% 193.03/30.98  | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | |   (22462)  all_22_2 = e0
% 193.03/30.98  | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | COMBINE_EQS: (251), (22462) imply:
% 193.03/30.98  | | | | | | | | | | |   (22463)  all_10_2 = e0
% 193.03/30.98  | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | SIMP: (22463) implies:
% 193.03/30.98  | | | | | | | | | | |   (22464)  all_10_2 = e0
% 193.03/30.98  | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | REDUCE: (361), (22464) imply:
% 193.03/30.98  | | | | | | | | | | |   (22465)   ~ (all_52_6 = e0)
% 193.03/30.98  | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | REDUCE: (22349), (22464) imply:
% 193.03/30.98  | | | | | | | | | | |   (22466)   ~ (e3 = e0)
% 193.03/30.98  | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | REDUCE: (22344), (22464) imply:
% 193.03/30.98  | | | | | | | | | | |   (22467)   ~ (e2 = e0)
% 193.03/30.98  | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | REDUCE: (45), (22464) imply:
% 193.03/30.98  | | | | | | | | | | |   (22468)  op(e1, e1) = e0
% 193.03/30.98  | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | BETA: splitting (225) gives:
% 193.03/30.98  | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | |   (22469)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 193.03/30.98  | | | | | | | | | | | |              & op(e2, e2) = e0)
% 193.03/30.98  | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | REF_CLOSE: (7), (170), (18039), (22337), (22469),
% 193.03/30.98  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.98  | | | | | | | | | | | |            #54.
% 193.03/30.98  | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | |   (22470)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 193.03/30.98  | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 193.03/30.98  | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | BETA: splitting (22470) gives:
% 193.03/30.98  | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | |   (22471)  all_56_7 = e0 & op(e1, e2) = e0
% 193.03/30.98  | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | REF_CLOSE: (162), (22465), (22471), (function-axioms) are
% 193.03/30.98  | | | | | | | | | | | | |            inconsistent by sub-proof #369.
% 193.03/30.98  | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | |   (22472)  all_56_13 = e0 & op(e0, e2) = e0
% 193.03/30.98  | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | ALPHA: (22472) implies:
% 193.03/30.98  | | | | | | | | | | | | |   (22473)  op(e0, e2) = e0
% 193.03/30.98  | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | BETA: splitting (221) gives:
% 193.03/30.98  | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | |   (22474)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 193.03/30.98  | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 193.03/30.98  | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (18039), (22334), (22474),
% 193.03/30.98  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.03/30.98  | | | | | | | | | | | | | |            #89.
% 193.03/30.98  | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | |   (22475)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 193.03/30.98  | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 193.03/30.98  | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | BETA: splitting (22475) gives:
% 193.03/30.98  | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | |   (22476)  all_56_5 = e0 & op(e2, e1) = e0
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | ALPHA: (22476) implies:
% 193.03/30.98  | | | | | | | | | | | | | | |   (22477)  all_56_5 = e0
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 193.03/30.98  | | | | | | | | | | | | | | |            (22468), (22477), (function-axioms) are
% 193.03/30.98  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1551.
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | |   (22478)  all_56_10 = e0 & op(e2, e0) = e0
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | ALPHA: (22478) implies:
% 193.03/30.98  | | | | | | | | | | | | | | |   (22479)  op(e2, e0) = e0
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 193.03/30.98  | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (22473) gives:
% 193.03/30.98  | | | | | | | | | | | | | | |   (22480)  all_52_7 = e0
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 193.03/30.98  | | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (22479) gives:
% 193.03/30.98  | | | | | | | | | | | | | | |   (22481)  all_52_13 = e0
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | REDUCE: (125), (22480) imply:
% 193.03/30.98  | | | | | | | | | | | | | | |   (22482)   ~ (all_52_11 = e0)
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | SIMP: (22482) implies:
% 193.03/30.98  | | | | | | | | | | | | | | |   (22483)   ~ (all_52_11 = e0)
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | REDUCE: (110), (22481) imply:
% 193.03/30.98  | | | | | | | | | | | | | | |   (22484)   ~ (all_52_14 = e0)
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | SIMP: (22484) implies:
% 193.03/30.98  | | | | | | | | | | | | | | |   (22485)   ~ (all_52_14 = e0)
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | REDUCE: (371), (22481) imply:
% 193.03/30.98  | | | | | | | | | | | | | | |   (22486)   ~ (all_14_2 = e0)
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | SIMP: (22486) implies:
% 193.03/30.98  | | | | | | | | | | | | | | |   (22487)   ~ (all_14_2 = e0)
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | |   (22488)  all_54_15 = e3
% 193.03/30.98  | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (22488) imply:
% 193.03/30.98  | | | | | | | | | | | | | | | |   (22489)  all_14_2 = e3
% 193.03/30.98  | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | REDUCE: (22347), (22489) imply:
% 193.03/30.98  | | | | | | | | | | | | | | | |   (22490)  $false
% 193.03/30.98  | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | CLOSE: (22490) is inconsistent.
% 193.03/30.98  | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | Case 2:
% 193.03/30.98  | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | |   (22491)   ~ (all_54_15 = e3)
% 193.03/30.98  | | | | | | | | | | | | | | | |   (22492)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 193.03/30.98  | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.03/30.98  | | | | | | | | | | | | | | | | 
% 193.03/30.98  | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.98  | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | |   (22493)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.03/30.99  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.03/30.99  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.03/30.99  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.03/30.99  | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.99  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.03/30.99  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.03/30.99  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.03/30.99  | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.03/30.99  | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.03/30.99  | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.03/30.99  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.03/30.99  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.03/30.99  | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.03/30.99  | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.03/30.99  | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.03/30.99  | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.03/30.99  | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.03/30.99  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.03/30.99  | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.03/30.99  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.03/30.99  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.03/30.99  | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | BETA: splitting (22493) gives:
% 193.03/30.99  | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | |   (22494)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.03/30.99  | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.03/30.99  | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.03/30.99  | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | BETA: splitting (22494) gives:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |   (22495)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (22495), (function-axioms) are
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |   (22496)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | BETA: splitting (22496) gives:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |   (22497)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | ALPHA: (22497) implies:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |   (22498)   ~ (all_57_0 = e2)
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |   (22499)  op(e1, e3) = e1
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |   (22500)  op(e2, e3) = all_57_0
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | BETA: splitting (22492) gives:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | |   (22501)  all_54_15 = e2
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (22501) imply:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | |   (22502)  all_14_2 = e2
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | SIMP: (22502) implies:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | |   (22503)  all_14_2 = e2
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (22503) imply:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | |   (22504)  all_50_2 = e2
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | |   (22505)   ~ (all_50_2 = e2)
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22504), (22505) imply:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | |   (22506)  $false
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22506) is inconsistent.
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (22499) gives:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | |   (22507)  all_52_2 = e1
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | |              all_57_0, e3, e2, simplifying with (167), (22500)
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | |   (22508)  all_57_0 = all_52_1
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22498), (22508) imply:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | |   (22509)   ~ (all_52_1 = e2)
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (22507) imply:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | |   (22510)   ~ (all_52_1 = e1)
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | |   (22511)  all_54_4 = e3
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (18029), (22511) are inconsistent by
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1409.
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | |   (22512)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (22479), (22509), (22510),
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | |            (22512), (function-axioms) are inconsistent by
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #201.
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | |   (22513)  all_54_15 = e1 | all_54_15 = e0
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (22345), (22487), (22513) are inconsistent
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1659.
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |   (22514)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | ALPHA: (22514) implies:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |   (22515)  op(e0, e0) = e3
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (22347), (22515), (function-axioms) are
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1977.
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | End of split
% 193.03/30.99  | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.99  | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | |   (22516)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.03/30.99  | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.03/30.99  | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.03/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 193.03/30.99  | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (170), (18030), (18039), (22340),
% 193.03/30.99  | | | | | | | | | | | | | | | | | |            (22473), (22516), (function-axioms) are
% 193.03/30.99  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #35.
% 193.03/30.99  | | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | | End of split
% 193.03/30.99  | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | Case 2:
% 193.03/30.99  | | | | | | | | | | | | | | | | | 
% 193.03/30.99  | | | | | | | | | | | | | | | | |   (22517)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.03/30.99  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.03/30.99  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.03/30.99  | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.03/30.99  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.03/30.99  | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.03/30.99  | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.03/30.99  | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.03/30.99  | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.03/30.99  | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.07/30.99  | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.07/30.99  | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.07/30.99  | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.07/30.99  | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.07/30.99  | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.07/30.99  | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.07/30.99  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.07/30.99  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/30.99  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/30.99  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/30.99  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/30.99  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/30.99  | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | BETA: splitting (22517) gives:
% 193.07/30.99  | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | Case 1:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | |   (22518)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 193.07/30.99  | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (51), (22340), (22345), (22518),
% 193.07/30.99  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/30.99  | | | | | | | | | | | | | | | | | |            #377.
% 193.07/30.99  | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | Case 2:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | |   (22519)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.07/30.99  | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/30.99  | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | BETA: splitting (22519) gives:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | |   (22520)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.07/30.99  | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.07/30.99  | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.07/30.99  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.07/30.99  | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | BETA: splitting (22520) gives:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |   (22521)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | ALPHA: (22521) implies:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |   (22522)  all_57_11 = e2
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |   (22523)   ~ (all_57_9 = e3)
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |   (22524)  op(e2, e0) = e2
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |   (22525)  op(e3, e0) = all_57_9
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |   (22526)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22526) gives:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |   (22527)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (145), (164), (167), (170), (18030),
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |            (22340), (22468), (22524), (22527),
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |            #33.
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |   (22528)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22528) gives:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |   (22529)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (22332), (22336), (22343), (22523),
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |            (22525), (22529), (function-axioms) are
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #359.
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |   (22530)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (18039), (22468), (22530),
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | |            #110.
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |   (22531)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (160), (18039), (22340),
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (22468), (22473), (22485), (22522), (22524),
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            (22531), (function-axioms) are inconsistent by
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | |            sub-proof #32.
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |   (22532)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | ALPHA: (22532) implies:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |   (22533)   ~ (all_57_14 = e0)
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |   (22534)  op(e1, e1) = all_57_14
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22468), (22533), (22534), (function-axioms) are
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | End of split
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.07/30.99  | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/30.99  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |   (22535)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (22535) gives:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |   (22536)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | ALPHA: (22536) implies:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |   (22537)  all_57_11 = e2
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |   (22538)  op(e2, e0) = e2
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |   (22539)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22539) gives:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |   (22540)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (145), (164), (167), (170), (18030),
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (22340), (22468), (22538), (22540),
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            #33.
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |   (22541)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22541) gives:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |   (22542)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (18039), (22336), (22538), (22542),
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |            #31.
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |   (22543)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (18039), (22468), (22543),
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | |            #110.
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |   (22544)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (160), (18039), (22340),
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (22468), (22473), (22485), (22537), (22538),
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (22544), (function-axioms) are inconsistent by
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            sub-proof #32.
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |   (22545)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (22545) gives:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |   (22546)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | ALPHA: (22546) implies:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |   (22547)   ~ (all_57_14 = e0)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |   (22548)  op(e1, e1) = all_57_14
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22468), (22547), (22548), (function-axioms) are
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |   (22549)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | ALPHA: (22549) implies:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |   (22550)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22550) gives:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |   (22551)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (22336), (22340), (22551),
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            #38.
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |   (22552)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (125), (157), (158),
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (159), (22336), (22340), (22468), (22473),
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            (22483), (22550), (22552), (function-axioms) are
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #30.
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | |   (22553)  all_20_2 = e3
% 193.07/31.00  | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | COMBINE_EQS: (325), (22553) imply:
% 193.07/31.00  | | | | | | | | | |   (22554)  all_10_2 = e3
% 193.07/31.00  | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | REDUCE: (350), (22554) imply:
% 193.07/31.00  | | | | | | | | | |   (22555)   ~ (all_52_2 = e3)
% 193.07/31.00  | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | REDUCE: (363), (22554) imply:
% 193.07/31.00  | | | | | | | | | |   (22556)   ~ (all_52_8 = e3)
% 193.07/31.00  | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | REDUCE: (45), (22554) imply:
% 193.07/31.00  | | | | | | | | | |   (22557)  op(e1, e1) = e3
% 193.07/31.00  | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | BETA: splitting (235) gives:
% 193.07/31.00  | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | |   (22558)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 193.07/31.00  | | | | | | | | | | |              & op(e2, e3) = e3)
% 193.07/31.00  | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | REF_CLOSE: (7), (167), (18029), (22340), (22558),
% 193.07/31.00  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.00  | | | | | | | | | | |            #29.
% 193.07/31.00  | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | |   (22559)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 193.07/31.00  | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 193.07/31.00  | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | BETA: splitting (22559) gives:
% 193.07/31.00  | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | |   (22560)  all_56_6 = e3 & op(e1, e3) = e3
% 193.07/31.00  | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | ALPHA: (22560) implies:
% 193.07/31.00  | | | | | | | | | | | |   (22561)  op(e1, e3) = e3
% 193.07/31.00  | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | REF_CLOSE: (163), (22555), (22561), (function-axioms) are
% 193.07/31.00  | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 193.07/31.00  | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | |   (22562)  all_56_12 = e3 & op(e0, e3) = e3
% 193.07/31.00  | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | ALPHA: (22562) implies:
% 193.07/31.00  | | | | | | | | | | | |   (22563)  all_56_12 = e3
% 193.07/31.00  | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | BETA: splitting (236) gives:
% 193.07/31.00  | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | |   (22564)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 193.07/31.00  | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 193.07/31.00  | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | BETA: splitting (22564) gives:
% 193.07/31.00  | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | |   (22565)  all_56_0 = e3 & op(e3, e3) = e3
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | ALPHA: (22565) implies:
% 193.07/31.00  | | | | | | | | | | | | | |   (22566)  op(e3, e3) = e3
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 193.07/31.00  | | | | | | | | | | | | | |            (233), (22335), (22563), (22566),
% 193.07/31.00  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.00  | | | | | | | | | | | | | |            #1332.
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | |   (22567)  all_56_1 = e3 & op(e3, e2) = e3
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | ALPHA: (22567) implies:
% 193.07/31.00  | | | | | | | | | | | | | |   (22568)  op(e3, e2) = e3
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (22568), (function-axioms) are
% 193.07/31.00  | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | |   (22569)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 193.07/31.00  | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 193.07/31.00  | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | BETA: splitting (22569) gives:
% 193.07/31.00  | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | |   (22570)  all_56_4 = e3 & op(e3, e1) = e3
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | ALPHA: (22570) implies:
% 193.07/31.00  | | | | | | | | | | | | | |   (22571)  op(e3, e1) = e3
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | REF_CLOSE: (169), (22556), (22571), (function-axioms) are
% 193.07/31.00  | | | | | | | | | | | | | |            inconsistent by sub-proof #1759.
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | |   (22572)  all_56_9 = e3 & op(e3, e0) = e3
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | ALPHA: (22572) implies:
% 193.07/31.00  | | | | | | | | | | | | | |   (22573)  op(e3, e0) = e3
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.07/31.00  | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | |   (22574)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.07/31.00  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.07/31.00  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.07/31.00  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.07/31.00  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.07/31.00  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.07/31.00  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.00  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.07/31.00  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.07/31.00  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.07/31.00  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.00  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.07/31.00  | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.07/31.00  | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.07/31.00  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.07/31.00  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.07/31.00  | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.07/31.00  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.00  | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.07/31.00  | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.07/31.00  | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.07/31.00  | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.07/31.00  | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.07/31.00  | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | BETA: splitting (22574) gives:
% 193.07/31.00  | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | |   (22575)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.07/31.00  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.07/31.00  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.07/31.00  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.07/31.00  | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.00  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.07/31.00  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.07/31.00  | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | BETA: splitting (22575) gives:
% 193.07/31.00  | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | |   (22576)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.07/31.00  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.07/31.00  | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.07/31.00  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (22576), (function-axioms) are
% 193.07/31.00  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | |   (22577)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.00  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.07/31.00  | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (22557), (22577), (function-axioms) are
% 193.07/31.00  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #133.
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | End of split
% 193.07/31.00  | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | |   (22578)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.00  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.07/31.00  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.07/31.00  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.00  | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.07/31.00  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.07/31.00  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.07/31.00  | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.07/31.00  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.07/31.00  | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.07/31.00  | | | | | | | | | | | | | | | |              $i(all_57_10))
% 193.07/31.00  | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | BETA: splitting (22578) gives:
% 193.07/31.00  | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | |   (22579)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.00  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.07/31.00  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.07/31.00  | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.07/31.00  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (22579), (function-axioms) are
% 193.07/31.00  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | |   (22580)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.07/31.00  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.07/31.00  | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 193.07/31.00  | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.00  | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.07/31.00  | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.00  | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | BETA: splitting (22580) gives:
% 193.07/31.00  | | | | | | | | | | | | | | | | | 
% 193.07/31.00  | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.00  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | |   (22581)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | ALPHA: (22581) implies:
% 193.07/31.01  | | | | | | | | | | | | | | | | | |   (22582)  op(e3, e3) = e2
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22340), (22582), (function-axioms) are
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | |   (22583)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | BETA: splitting (22583) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22584)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | ALPHA: (22584) implies:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22585)   ~ (all_57_5 = e0)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22586)  op(e0, e0) = e2
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22587)  op(e0, e2) = all_57_5
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22588)  op(e1, e2) = e1
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2, e2,
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              e0, e0, simplifying with (51), (22586) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22589)  all_14_2 = e2
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              all_57_5, e2, e0, simplifying with (158), (22587)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22590)  all_57_5 = all_52_7
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (22588) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22591)  all_52_6 = e1
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | REDUCE: (22585), (22590) imply:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22592)   ~ (all_52_7 = e0)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | REDUCE: (128), (22591) imply:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22593)   ~ (all_52_7 = e1)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | SIMP: (22593) implies:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22594)   ~ (all_52_7 = e1)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (248), (362), (18032), (22589), (22592),
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            (22594) are inconsistent by sub-proof #1320.
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22595)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | ALPHA: (22595) implies:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22596)  op(e2, e2) = e1
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (22596), (function-axioms) are
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | |   (22597)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/31.01  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/31.01  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.07/31.01  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.07/31.01  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.07/31.01  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.07/31.01  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.07/31.01  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.07/31.01  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/31.01  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.07/31.01  | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.07/31.01  | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.07/31.01  | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.07/31.01  | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.07/31.01  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.07/31.01  | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.07/31.01  | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.01  | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.07/31.01  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.07/31.01  | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.07/31.01  | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.01  | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/31.01  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/31.01  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/31.01  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/31.01  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/31.01  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/31.01  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/31.01  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/31.01  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/31.01  | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | BETA: splitting (22597) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | |   (22598)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/31.01  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/31.01  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.07/31.01  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.07/31.01  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.07/31.01  | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.07/31.01  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.07/31.01  | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.07/31.01  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (51), (22340), (22345), (22598),
% 193.07/31.01  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.01  | | | | | | | | | | | | | | | |            #377.
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | |   (22599)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/31.01  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.07/31.01  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.07/31.01  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.07/31.01  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.07/31.01  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 193.07/31.01  | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 193.07/31.01  | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.07/31.01  | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.07/31.01  | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.07/31.01  | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.01  | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.07/31.01  | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.07/31.01  | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/31.01  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/31.01  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/31.01  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/31.01  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/31.01  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/31.01  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | BETA: splitting (22599) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | |   (22600)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.07/31.01  | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.07/31.01  | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.07/31.01  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | REF_CLOSE: (22332), (22343), (22573), (22600),
% 193.07/31.01  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.01  | | | | | | | | | | | | | | | | |            #28.
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | |   (22601)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.07/31.01  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.07/31.01  | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/31.01  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/31.01  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/31.01  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/31.01  | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | BETA: splitting (22601) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | |   (22602)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | ALPHA: (22602) implies:
% 193.07/31.01  | | | | | | | | | | | | | | | | | |   (22603)  op(e1, e1) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (22557), (22603), (function-axioms) are
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | |   (22604)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | BETA: splitting (22604) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22605)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | ALPHA: (22605) implies:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22606)  op(e2, e2) = e0
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (22606), (function-axioms) are
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22607)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | ALPHA: (22607) implies:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |   (22608)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | BETA: splitting (22608) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |   (22609)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (22336), (22340), (22609),
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |            #38.
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |   (22610)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | BETA: splitting (22610) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |   (22611)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | | ALPHA: (22611) implies:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |   (22612)  op(e1, e1) = e2
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (22557), (22612), (function-axioms) are
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |   (22613)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_7))
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (18039), (22340), (22613),
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | |            #37.
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | End of split
% 193.07/31.01  | | | | | | | | | 
% 193.07/31.01  | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | 
% 193.07/31.01  | | | | | | | | |   (22614)  all_18_2 = e3
% 193.07/31.01  | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | COMBINE_EQS: (301), (22614) imply:
% 193.07/31.01  | | | | | | | | |   (22615)  all_14_2 = e3
% 193.07/31.01  | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | REDUCE: (351), (22615) imply:
% 193.07/31.01  | | | | | | | | |   (22616)   ~ (all_52_3 = e3)
% 193.07/31.01  | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | REDUCE: (370), (22615) imply:
% 193.07/31.01  | | | | | | | | |   (22617)   ~ (all_52_12 = e3)
% 193.07/31.01  | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | REDUCE: (51), (22615) imply:
% 193.07/31.01  | | | | | | | | |   (22618)  op(e0, e0) = e3
% 193.07/31.01  | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | BETA: splitting (235) gives:
% 193.07/31.01  | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | |   (22619)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 193.07/31.01  | | | | | | | | | |              & op(e2, e3) = e3)
% 193.07/31.01  | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | REF_CLOSE: (7), (167), (18029), (22340), (22619),
% 193.07/31.01  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.01  | | | | | | | | | |            #29.
% 193.07/31.01  | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | |   (22620)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 193.07/31.01  | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 193.07/31.01  | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | BETA: splitting (22620) gives:
% 193.07/31.01  | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | |   (22621)  all_56_6 = e3 & op(e1, e3) = e3
% 193.07/31.01  | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | ALPHA: (22621) implies:
% 193.07/31.01  | | | | | | | | | | |   (22622)  op(e1, e3) = e3
% 193.07/31.01  | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | BETA: splitting (236) gives:
% 193.07/31.01  | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | |   (22623)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 193.07/31.01  | | | | | | | | | | | |              & op(e3, e2) = e3)
% 193.07/31.01  | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | REF_CLOSE: (7), (170), (18030), (22340), (22623),
% 193.07/31.01  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.01  | | | | | | | | | | | |            #41.
% 193.07/31.01  | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | |   (22624)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 193.07/31.01  | | | | | | | | | | | |              & op(e3, e0) = e3)
% 193.07/31.01  | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | BETA: splitting (22624) gives:
% 193.07/31.01  | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | |   (22625)  all_56_4 = e3 & op(e3, e1) = e3
% 193.07/31.01  | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | ALPHA: (22625) implies:
% 193.07/31.01  | | | | | | | | | | | | |   (22626)  op(e3, e1) = e3
% 193.07/31.01  | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 193.07/31.01  | | | | | | | | | | | | |              e3, e1, simplifying with (163), (22622) gives:
% 193.07/31.01  | | | | | | | | | | | | |   (22627)  all_52_2 = e3
% 193.07/31.01  | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 193.07/31.01  | | | | | | | | | | | | |              e1, e3, simplifying with (169), (22626) gives:
% 193.07/31.01  | | | | | | | | | | | | |   (22628)  all_52_8 = e3
% 193.07/31.01  | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | REDUCE: (363), (22628) imply:
% 193.07/31.01  | | | | | | | | | | | | |   (22629)   ~ (all_10_2 = e3)
% 193.07/31.01  | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | SIMP: (22629) implies:
% 193.07/31.01  | | | | | | | | | | | | |   (22630)   ~ (all_10_2 = e3)
% 193.07/31.01  | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | BETA: splitting (64) gives:
% 193.07/31.01  | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | |   (22631)   ~ (all_22_2 = e0)
% 193.07/31.01  | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | REDUCE: (251), (22631) imply:
% 193.07/31.01  | | | | | | | | | | | | | |   (22632)   ~ (all_10_2 = e0)
% 193.07/31.01  | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.07/31.01  | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | |   (22633)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.01  | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.01  | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.01  | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.01  | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.01  | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.01  | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.01  | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.01  | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.01  | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.01  | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.01  | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.01  | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.01  | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.01  | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.01  | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.01  | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.01  | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.01  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.01  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.01  | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.01  | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.01  | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.07/31.01  | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.01  | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.01  | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.01  | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.01  | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.01  | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.01  | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.01  | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | BETA: splitting (22633) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | |   (22634)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.01  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.01  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.01  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.01  | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.01  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.01  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.01  | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.01  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.01  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.01  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.01  | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.01  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.01  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | BETA: splitting (22634) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | |   (22635)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.01  | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.01  | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.01  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.01  | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | BETA: splitting (22635) gives:
% 193.07/31.01  | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | |   (22636)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.07/31.01  | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | ALPHA: (22636) implies:
% 193.07/31.01  | | | | | | | | | | | | | | | | | |   (22637)  op(e3, e2) = e3
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (22637), (function-axioms) are
% 193.07/31.01  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.01  | | | | | | | | | | | | | | | | | | 
% 193.07/31.01  | | | | | | | | | | | | | | | | | |   (22638)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 193.07/31.02  | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.07/31.02  | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | ALPHA: (22638) implies:
% 193.07/31.02  | | | | | | | | | | | | | | | | | |   (22639)  op(e2, e3) = e2
% 193.07/31.02  | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | |   (22640)  all_54_10 = e3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (22640) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | |   (22641)  all_10_2 = e3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | REDUCE: (22630), (22641) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | |   (22642)  $false
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | CLOSE: (22642) is inconsistent.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | |   (22643)   ~ (all_54_10 = e3)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | |   (22644)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | BETA: splitting (22644) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | |   (22645)  all_54_10 = e2
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (22645) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | |   (22646)  all_10_2 = e2
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (22344), (22646) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | |   (22647)  $false
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | CLOSE: (22647) is inconsistent.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | |   (22648)   ~ (all_54_10 = e2)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | |   (22649)  all_54_10 = e1 | all_54_10 = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | BETA: splitting (22649) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | |   (22650)  all_54_10 = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (22650) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | |   (22651)  all_10_2 = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (22651) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | |   (22652)   ~ (all_52_6 = e1)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (22651) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | |   (22653)   ~ (all_52_14 = e1)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (22630), (22651) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | |   (22654)   ~ (e3 = e1)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (22344), (22651) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | |   (22655)   ~ (e2 = e1)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (22651) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | |   (22656)  op(e1, e1) = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |   (22657)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22657) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |   (22658)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22658) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |   (22659)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (22659), (function-axioms) are
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |   (22660)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22660) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22661)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22661) implies:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22662)   ~ (all_57_0 = e2)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22663)  op(e2, e3) = all_57_0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22639), (22662), (22663), (function-axioms) are
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #66.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22664)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22664) implies:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22665)  op(e1, e3) = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22622), (22665), (function-axioms) are
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #142.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |   (22666)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22666) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |   (22667)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (22667), (function-axioms) are
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |   (22668)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (18039), (22652), (22668),
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |            #218.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |   (22669)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22669) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |   (22670)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22670) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |   (22671)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (22340), (22618), (22671),
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |            #318.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |   (22672)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (120), (168), (169), (22618), (22626),
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |            (22672), (function-axioms) are inconsistent by
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #655.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |   (22673)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22673) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |   (22674)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22674) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22675)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22675) implies:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22676)  op(e2, e0) = e2
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (167), (22639), (22676),
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            #34.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22677)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22677) implies:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22678)  op(e1, e0) = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (22653), (22678), (function-axioms) are
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |   (22679)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22679) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22680)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22680) implies:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22681)  op(e1, e1) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22656), (22681), (function-axioms) are
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1959.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (22682)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22682) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22683)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22683) implies:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22684)  op(e1, e0) = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (22653), (22684), (function-axioms) are
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22685)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22685) implies:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22686)  op(e0, e0) = all_57_15
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22687)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22687) gives:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22688)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22340), (22618), (22686), (22688),
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #27.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22689)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (18039), (22340), (22656), (22689),
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #36.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | |   (22690)  all_54_10 = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (22690) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | |   (22691)  all_10_2 = e0
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (22632), (22691) imply:
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | |   (22692)  $false
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | CLOSE: (22692) is inconsistent.
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | |   (22693)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.02  | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.02  | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.02  | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.02  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.02  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.02  | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.02  | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.02  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.02  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.02  | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.02  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.02  | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/31.02  | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (22340), (22622), (22693),
% 193.07/31.02  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.02  | | | | | | | | | | | | | | | | |            #26.
% 193.07/31.02  | | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | | End of split
% 193.07/31.02  | | | | | | | | | | | | | | | | 
% 193.07/31.02  | | | | | | | | | | | | | | | Case 2:
% 193.07/31.02  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | |   (22694)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.03  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.03  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.03  | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.03  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | BETA: splitting (22694) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | |   (22695)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (159), (168), (169), (22336), (22626),
% 193.07/31.03  | | | | | | | | | | | | | | | | |            (22695), (function-axioms) are inconsistent by
% 193.07/31.03  | | | | | | | | | | | | | | | | |            sub-proof #225.
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | |   (22696)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | BETA: splitting (22696) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22697)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | ALPHA: (22697) implies:
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22698)  op(e2, e2) = e1
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (22698), (function-axioms) are
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22699)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | ALPHA: (22699) implies:
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22700)  op(e1, e1) = e2
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (22344), (22700), (function-axioms) are
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #137.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | |   (22701)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.03  | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.03  | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.03  | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.07/31.03  | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.07/31.03  | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.07/31.03  | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.03  | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.03  | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.07/31.03  | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.07/31.03  | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.07/31.03  | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.07/31.03  | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.07/31.03  | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.07/31.03  | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.07/31.03  | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.07/31.03  | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.03  | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.07/31.03  | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.07/31.03  | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.03  | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.03  | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.07/31.03  | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.07/31.03  | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.03  | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.03  | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.07/31.03  | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.07/31.03  | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.03  | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | BETA: splitting (22701) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | |   (22702)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.03  | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.07/31.03  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.03  | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.07/31.03  | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | BETA: splitting (22702) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | |   (22703)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (18039), (22618), (22703),
% 193.07/31.03  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.03  | | | | | | | | | | | | | | | | |            #82.
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | |   (22704)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | BETA: splitting (22704) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22705)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | ALPHA: (22705) implies:
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22706)  op(e1, e1) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |   (22707)  all_54_10 = e3
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (22707) imply:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |   (22708)  all_10_2 = e3
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | REDUCE: (22630), (22708) imply:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |   (22709)  $false
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | CLOSE: (22709) is inconsistent.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |   (22710)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (336), (22344), (22632), (22706), (22710),
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |            #81.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22711)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | ALPHA: (22711) implies:
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22712)  op(e0, e0) = e1
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22618), (22712), (function-axioms) are
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | |   (22713)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.07/31.03  | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.07/31.03  | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.07/31.03  | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.07/31.03  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.07/31.03  | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.07/31.03  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.07/31.03  | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.07/31.03  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.03  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | BETA: splitting (22713) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | |   (22714)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (18039), (22340), (22714),
% 193.07/31.03  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.03  | | | | | | | | | | | | | | | | |            #40.
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | |   (22715)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.03  | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.07/31.03  | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.03  | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | BETA: splitting (22715) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22716)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22340), (22626), (22716), (function-axioms)
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #39.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22717)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | ALPHA: (22717) implies:
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22718)  op(e0, e0) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (22618), (22718), (function-axioms) are
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | |   (22719)  all_22_2 = e0
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | COMBINE_EQS: (251), (22719) imply:
% 193.07/31.03  | | | | | | | | | | | | | |   (22720)  all_10_2 = e0
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | SIMP: (22720) implies:
% 193.07/31.03  | | | | | | | | | | | | | |   (22721)  all_10_2 = e0
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | REDUCE: (366), (22721) imply:
% 193.07/31.03  | | | | | | | | | | | | | |   (22722)   ~ (all_52_11 = e0)
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | REDUCE: (368), (22721) imply:
% 193.07/31.03  | | | | | | | | | | | | | |   (22723)   ~ (all_52_14 = e0)
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | REDUCE: (22630), (22721) imply:
% 193.07/31.03  | | | | | | | | | | | | | |   (22724)   ~ (e3 = e0)
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | REDUCE: (22344), (22721) imply:
% 193.07/31.03  | | | | | | | | | | | | | |   (22725)   ~ (e2 = e0)
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | REDUCE: (45), (22721) imply:
% 193.07/31.03  | | | | | | | | | | | | | |   (22726)  op(e1, e1) = e0
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 193.07/31.03  | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | |   (22727)  all_56_15 = e0 & op(e0, e0) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | ALPHA: (22727) implies:
% 193.07/31.03  | | | | | | | | | | | | | | |   (22728)  op(e0, e0) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | REF_CLOSE: (7), (22618), (22728), (function-axioms) are
% 193.07/31.03  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | |   (22729)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 193.07/31.03  | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | ALPHA: (22729) implies:
% 193.07/31.03  | | | | | | | | | | | | | | |   (22730)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 193.07/31.03  | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | |                e1) = e0)
% 193.07/31.03  | | | | | | | | | | | | | | |   (22731)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 193.07/31.03  | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | |                e0) = e0)
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | BETA: splitting (22730) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | |   (22732)  all_56_12 = e0 & op(e0, e3) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | ALPHA: (22732) implies:
% 193.07/31.03  | | | | | | | | | | | | | | | |   (22733)  op(e0, e3) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | REF_CLOSE: (159), (22336), (22733), (function-axioms) are
% 193.07/31.03  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | |   (22734)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 193.07/31.03  | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | BETA: splitting (22734) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | |   (22735)  all_56_13 = e0 & op(e0, e2) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | ALPHA: (22735) implies:
% 193.07/31.03  | | | | | | | | | | | | | | | | |   (22736)  op(e0, e2) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | BETA: splitting (22731) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22737)  all_56_9 = e0 & op(e3, e0) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | ALPHA: (22737) implies:
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22738)  op(e3, e0) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (22339), (22738), (function-axioms) are
% 193.07/31.03  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | |   (22739)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | BETA: splitting (22739) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |   (22740)  all_56_10 = e0 & op(e2, e0) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | ALPHA: (22740) implies:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |   (22741)  op(e2, e0) = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (22736) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |   (22742)  all_52_7 = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (22741) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |   (22743)  all_52_13 = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | REDUCE: (125), (22742) imply:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |   (22744)   ~ (all_52_11 = e0)
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | REDUCE: (110), (22743) imply:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | |   (22745)   ~ (all_52_14 = e0)
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |   (22746)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | BETA: splitting (22746) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |   (22747)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22747) gives:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |   (22748)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (22748), (function-axioms) are
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |   (22749)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22622), (22749), (function-axioms) are
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #141.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |   (22750)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (170), (18030), (18039), (22340),
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |            (22736), (22750), (function-axioms) are
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #35.
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |   (22751)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.07/31.03  | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | BETA: splitting (22751) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |   (22752)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22752) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |   (22753)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (22340), (22618), (22753),
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |            #318.
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |   (22754)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (120), (168), (169), (22618), (22626),
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |            (22754), (function-axioms) are inconsistent by
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #655.
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |   (22755)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22755) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |   (22756)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22756) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |   (22757)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22757) implies:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |   (22758)   ~ (all_57_9 = e3)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |   (22759)  op(e2, e0) = e2
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |   (22760)  op(e3, e0) = all_57_9
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |   (22761)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22761) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (22762)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22762) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22763)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (145), (164), (167), (22618), (22736),
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (22759), (22763), (function-axioms) are
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #25.
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22764)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (22340), (22622), (22764),
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            #26.
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (22765)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22765) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22766)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (22332), (22336), (22343), (22758),
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (22760), (22766), (function-axioms) are
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #359.
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22767)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18039), (22618), (22736), (22767),
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            #24.
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |   (22768)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (160), (18039), (22340),
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (22618), (22723), (22726), (22736), (22759),
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (22768), (function-axioms) are inconsistent by
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #23.
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |   (22769)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22769) implies:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |   (22770)   ~ (all_57_14 = e0)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |   (22771)  op(e1, e1) = all_57_14
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22726), (22770), (22771), (function-axioms) are
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |   (22772)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22772) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |   (22773)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22773) implies:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | |   (22774)  op(e2, e0) = e2
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |   (22775)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22775) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (22776)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22776) gives:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22777)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (145), (164), (167), (22618), (22736),
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (22774), (22777), (function-axioms) are
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #25.
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22778)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (22340), (22622), (22778),
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            #26.
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (22779)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22779) gives:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22780)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (159), (168), (169), (22336), (22626),
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (22780), (function-axioms) are inconsistent by
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #225.
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22781)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18039), (22618), (22736), (22781),
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            #24.
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |   (22782)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (160), (18039), (22340),
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            (22618), (22723), (22726), (22736), (22774),
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            (22782), (function-axioms) are inconsistent by
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #23.
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |   (22783)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22783) gives:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |   (22784)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22784) implies:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |   (22785)   ~ (all_57_14 = e0)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |   (22786)  op(e1, e1) = all_57_14
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22726), (22785), (22786), (function-axioms) are
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1636.
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |   (22787)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22787) implies:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |   (22788)  op(e0, e0) = all_57_15
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |   (22789)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22789) gives:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (22790)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22340), (22618), (22788), (22790),
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |            #27.
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (22791)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (125), (157), (158),
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (22336), (22340), (22722), (22726),
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |            (22736), (22789), (22791), (function-axioms) are
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #30.
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | |   (22792)  all_56_11 = e0 & op(e1, e0) = e0
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | ALPHA: (22792) implies:
% 193.07/31.05  | | | | | | | | | | | | | | | | | | |   (22793)  op(e1, e0) = e0
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (22723), (22793), (function-axioms) are
% 193.07/31.05  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 193.07/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | |   (22794)  all_56_14 = e0 & op(e0, e1) = e0
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | ALPHA: (22794) implies:
% 193.07/31.05  | | | | | | | | | | | | | | | | |   (22795)  op(e0, e1) = e0
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (22722), (22795), (function-axioms) are
% 193.07/31.05  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | |   (22796)  all_56_9 = e3 & op(e3, e0) = e3
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | ALPHA: (22796) implies:
% 193.07/31.05  | | | | | | | | | | | | |   (22797)  op(e3, e0) = e3
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | REF_CLOSE: (168), (22617), (22797), (function-axioms) are
% 193.07/31.05  | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | |   (22798)  all_56_12 = e3 & op(e0, e3) = e3
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | ALPHA: (22798) implies:
% 193.07/31.05  | | | | | | | | | | |   (22799)  op(e0, e3) = e3
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | REF_CLOSE: (159), (22616), (22799), (function-axioms) are
% 193.07/31.05  | | | | | | | | | | |            inconsistent by sub-proof #323.
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | | 
% 193.07/31.05  | | | | | | | | End of split
% 193.07/31.05  | | | | | | | | 
% 193.07/31.05  | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | 
% 193.07/31.05  | | | | | | | |   (22800)  all_14_2 = e1
% 193.07/31.05  | | | | | | | | 
% 193.07/31.05  | | | | | | | | REDUCE: (351), (22800) imply:
% 193.07/31.05  | | | | | | | |   (22801)   ~ (all_52_3 = e1)
% 193.07/31.05  | | | | | | | | 
% 193.07/31.05  | | | | | | | | REDUCE: (369), (22800) imply:
% 193.07/31.05  | | | | | | | |   (22802)   ~ (all_52_11 = e1)
% 193.07/31.05  | | | | | | | | 
% 193.07/31.05  | | | | | | | | REDUCE: (370), (22800) imply:
% 193.07/31.05  | | | | | | | |   (22803)   ~ (all_52_12 = e1)
% 193.07/31.05  | | | | | | | | 
% 193.07/31.05  | | | | | | | | REDUCE: (372), (22800) imply:
% 193.07/31.05  | | | | | | | |   (22804)   ~ (all_52_14 = e1)
% 193.07/31.05  | | | | | | | | 
% 193.07/31.05  | | | | | | | | REDUCE: (51), (22800) imply:
% 193.07/31.05  | | | | | | | |   (22805)  op(e0, e0) = e1
% 193.07/31.05  | | | | | | | | 
% 193.07/31.05  | | | | | | | | BETA: splitting (61) gives:
% 193.07/31.05  | | | | | | | | 
% 193.07/31.05  | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | 
% 193.07/31.05  | | | | | | | | |   (22806)   ~ (all_20_2 = e3)
% 193.07/31.05  | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | REDUCE: (325), (22806) imply:
% 193.07/31.05  | | | | | | | | |   (22807)   ~ (all_10_2 = e3)
% 193.07/31.05  | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | BETA: splitting (64) gives:
% 193.07/31.05  | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | |   (22808)   ~ (all_22_2 = e0)
% 193.07/31.05  | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | REDUCE: (251), (22808) imply:
% 193.07/31.05  | | | | | | | | | |   (22809)   ~ (all_10_2 = e0)
% 193.07/31.05  | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | BETA: splitting (194) gives:
% 193.07/31.05  | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | |   (22810)  all_54_10 = e3
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | REF_CLOSE: (336), (22807), (22810) are inconsistent by
% 193.07/31.05  | | | | | | | | | | |            sub-proof #983.
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | |   (22811)   ~ (all_54_10 = e3)
% 193.07/31.05  | | | | | | | | | | |   (22812)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | BETA: splitting (22812) gives:
% 193.07/31.05  | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | |   (22813)  all_54_10 = e2
% 193.07/31.05  | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | REF_CLOSE: (336), (22344), (22813) are inconsistent by
% 193.07/31.05  | | | | | | | | | | | |            sub-proof #982.
% 193.07/31.05  | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | |   (22814)   ~ (all_54_10 = e2)
% 193.07/31.05  | | | | | | | | | | | |   (22815)  all_54_10 = e1 | all_54_10 = e0
% 193.07/31.05  | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | BETA: splitting (22815) gives:
% 193.07/31.05  | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | |   (22816)  all_54_10 = e1
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | COMBINE_EQS: (336), (22816) imply:
% 193.07/31.05  | | | | | | | | | | | | |   (22817)  all_10_2 = e1
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | SIMP: (22817) implies:
% 193.07/31.05  | | | | | | | | | | | | |   (22818)  all_10_2 = e1
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | REDUCE: (350), (22818) imply:
% 193.07/31.05  | | | | | | | | | | | | |   (22819)   ~ (all_52_2 = e1)
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | REDUCE: (363), (22818) imply:
% 193.07/31.05  | | | | | | | | | | | | |   (22820)   ~ (all_52_8 = e1)
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | REDUCE: (22807), (22818) imply:
% 193.07/31.05  | | | | | | | | | | | | |   (22821)   ~ (e3 = e1)
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | REDUCE: (22344), (22818) imply:
% 193.07/31.05  | | | | | | | | | | | | |   (22822)   ~ (e2 = e1)
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | REDUCE: (45), (22818) imply:
% 193.07/31.05  | | | | | | | | | | | | |   (22823)  op(e1, e1) = e1
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | BETA: splitting (231) gives:
% 193.07/31.05  | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | |   (22824)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 193.07/31.05  | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 193.07/31.05  | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | BETA: splitting (22824) gives:
% 193.07/31.05  | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | |   (22825)  all_56_0 = e1 & op(e3, e3) = e1
% 193.07/31.05  | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | ALPHA: (22825) implies:
% 193.07/31.05  | | | | | | | | | | | | | | |   (22826)  op(e3, e3) = e1
% 193.07/31.05  | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | REF_CLOSE: (4), (22340), (22826), (function-axioms) are
% 193.07/31.05  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 193.07/31.05  | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | |   (22827)  all_56_2 = e1 & op(e2, e3) = e1
% 193.07/31.05  | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | ALPHA: (22827) implies:
% 193.07/31.05  | | | | | | | | | | | | | | |   (22828)  all_56_2 = e1
% 193.07/31.05  | | | | | | | | | | | | | | |   (22829)  op(e2, e3) = e1
% 193.07/31.05  | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 193.07/31.05  | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | |   (22830)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 193.07/31.05  | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 193.07/31.05  | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | BETA: splitting (22830) gives:
% 193.07/31.05  | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | Case 1:
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | |   (22831)  all_56_0 = e1 & op(e3, e3) = e1
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | ALPHA: (22831) implies:
% 193.07/31.05  | | | | | | | | | | | | | | | | |   (22832)  op(e3, e3) = e1
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 193.07/31.05  | | | | | | | | | | | | | | | | |            (22828), (22832), (function-axioms) are
% 193.07/31.05  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1844.
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | Case 2:
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | |   (22833)  all_56_1 = e1 & op(e3, e2) = e1
% 193.07/31.05  | | | | | | | | | | | | | | | | | 
% 193.07/31.05  | | | | | | | | | | | | | | | | | ALPHA: (22833) implies:
% 193.07/31.05  | | | | | | | | | | | | | | | | |   (22834)  all_56_1 = e1
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22835)  op(e3, e2) = e1
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 193.14/31.05  | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (22829) gives:
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22836)  all_52_1 = e1
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 193.14/31.05  | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (22835) gives:
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22837)  all_52_4 = e1
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | REDUCE: (149), (22836) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22838)   ~ (all_52_2 = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | REDUCE: (148), (22836) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22839)   ~ (all_52_3 = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | REDUCE: (146), (22836) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22840)   ~ (all_52_9 = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | SIMP: (22840) implies:
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22841)   ~ (all_52_9 = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | REDUCE: (136), (22837) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22842)   ~ (all_52_6 = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | SIMP: (22842) implies:
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22843)   ~ (all_52_6 = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | REDUCE: (135), (22837) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22844)   ~ (all_52_7 = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | SIMP: (22844) implies:
% 193.14/31.05  | | | | | | | | | | | | | | | | |   (22845)   ~ (all_52_7 = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | |   (22846)   ~ (all_40_2 = e3)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | REDUCE: (18028), (22846) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | |   (22847)  $false
% 193.14/31.05  | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | CLOSE: (22847) is inconsistent.
% 193.14/31.05  | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | |   (22848)  ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0
% 193.14/31.05  | | | | | | | | | | | | | | | | | |              & op(e2, e3) = all_40_1 & $i(all_40_0) &
% 193.14/31.05  | | | | | | | | | | | | | | | | | |              $i(all_40_1)) | ( ~ (all_40_1 = e0) & op(e2, e3)
% 193.14/31.05  | | | | | | | | | | | | | | | | | |              = all_40_1 & $i(all_40_1))
% 193.14/31.05  | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | BETA: splitting (18027) gives:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |   (22849)   ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 &
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | ALPHA: (22849) implies:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |   (22850)   ~ (all_4_0 = e0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |   (22851)  op(e2, e3) = all_4_1
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |   (22852)  op(all_4_1, e2) = all_4_0
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_4_1,
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (22829), (22851) gives:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |   (22853)  all_4_1 = e1
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | REDUCE: (22852), (22853) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |   (22854)  op(e1, e2) = all_4_0
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (22848) gives:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |              all_4_0, e2, e1, simplifying with (162), (22854)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |              gives:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22855)  all_52_6 = all_4_0
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (22855) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22856)  all_54_9 = all_4_0
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (22855) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22857)   ~ (all_52_2 = all_4_0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (22855) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22858)   ~ (all_52_7 = all_4_0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | SIMP: (22858) implies:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22859)   ~ (all_52_7 = all_4_0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (22855) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22860)   ~ (all_52_14 = all_4_0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | SIMP: (22860) implies:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22861)   ~ (all_52_14 = all_4_0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (18031), (22855) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22862)   ~ (all_4_0 = e3)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (22843), (22855) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22863)   ~ (all_4_0 = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (110), (120),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (121), (125), (126), (139), (140), (141), (144),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (148), (157), (158), (159), (160), (162), (163),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (190),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (191), (192), (193), (195), (196), (212), (213),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (216), (217), (218), (219), (220), (221), (223),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (227), (229), (230), (233), (234), (238), (239),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (247), (248), (249), (250), (258), (259), (336),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (18030), (18032), (18034), (18038), (18039),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22332), (22335), (22338), (22340), (22343),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22344), (22801), (22802), (22804), (22805),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22809), (22815), (22819), (22823), (22828),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22834), (22841), (22843), (22845), (22850),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22855), (22856), (22857), (22859), (22861),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22862), (22863), (function-axioms) are
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #18.
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22864)   ~ (all_40_1 = e0) & op(e2, e3) = all_40_1 &
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            $i(all_40_1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | ALPHA: (22864) implies:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22865)   ~ (all_40_1 = e0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22866)  op(e2, e3) = all_40_1
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |              all_4_0, e2, e1, simplifying with (162), (22854)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |              gives:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22867)  all_52_6 = all_4_0
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_40_1,
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (22829), (22866) gives:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22868)  all_40_1 = e1
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (22867) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22869)  all_54_9 = all_4_0
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (22867) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22870)   ~ (all_52_2 = all_4_0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (22867) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22871)   ~ (all_52_7 = all_4_0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | SIMP: (22871) implies:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22872)   ~ (all_52_7 = all_4_0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (22867) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22873)   ~ (all_52_14 = all_4_0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | SIMP: (22873) implies:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22874)   ~ (all_52_14 = all_4_0)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (18031), (22867) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22875)   ~ (all_4_0 = e3)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (22843), (22867) imply:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |   (22876)   ~ (all_4_0 = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (110), (120),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (121), (125), (126), (139), (140), (141), (144),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (148), (157), (158), (159), (160), (162), (163),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (190),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (191), (192), (193), (195), (196), (212), (213),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (216), (217), (218), (219), (220), (221), (223),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (227), (229), (230), (233), (234), (238), (239),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (247), (248), (249), (250), (258), (259), (336),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (18030), (18032), (18034), (18038), (18039),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22332), (22335), (22338), (22340), (22343),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22344), (22801), (22802), (22804), (22805),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22809), (22815), (22819), (22823), (22828),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22834), (22841), (22843), (22845), (22850),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22867), (22869), (22870), (22872), (22874),
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            (22875), (22876), (function-axioms) are
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #18.
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | End of split
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |   (22877)   ~ (all_4_1 = e1) & op(e2, e3) = all_4_1 &
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |            $i(all_4_1)
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22829), (22877), (function-axioms) are
% 193.14/31.05  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #113.
% 193.14/31.05  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | | End of split
% 193.14/31.05  | | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | | End of split
% 193.14/31.05  | | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | End of split
% 193.14/31.05  | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | Case 2:
% 193.14/31.05  | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | |   (22878)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 193.14/31.05  | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 193.14/31.05  | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (22803), (22820), (22878),
% 193.14/31.05  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.14/31.05  | | | | | | | | | | | | | | | |            #608.
% 193.14/31.05  | | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | | End of split
% 193.14/31.05  | | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | End of split
% 193.14/31.05  | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | Case 2:
% 193.14/31.05  | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | |   (22879)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 193.14/31.05  | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 193.14/31.05  | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (22801), (22819), (22879),
% 193.14/31.05  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.14/31.05  | | | | | | | | | | | | | |            #607.
% 193.14/31.05  | | | | | | | | | | | | | | 
% 193.14/31.05  | | | | | | | | | | | | | End of split
% 193.14/31.05  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | |   (22880)  all_54_10 = e0
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | REF_CLOSE: (336), (22809), (22880) are inconsistent by
% 193.14/31.06  | | | | | | | | | | | | |            sub-proof #932.
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | End of split
% 193.14/31.06  | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | End of split
% 193.14/31.06  | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | End of split
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | |   (22881)  all_22_2 = e0
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | COMBINE_EQS: (251), (22881) imply:
% 193.14/31.06  | | | | | | | | | |   (22882)  all_10_2 = e0
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | REDUCE: (364), (22882) imply:
% 193.14/31.06  | | | | | | | | | |   (22883)   ~ (all_52_9 = e0)
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | REDUCE: (366), (22882) imply:
% 193.14/31.06  | | | | | | | | | |   (22884)   ~ (all_52_11 = e0)
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | REDUCE: (368), (22882) imply:
% 193.14/31.06  | | | | | | | | | |   (22885)   ~ (all_52_14 = e0)
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | REDUCE: (22807), (22882) imply:
% 193.14/31.06  | | | | | | | | | |   (22886)   ~ (e3 = e0)
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | REDUCE: (22344), (22882) imply:
% 193.14/31.06  | | | | | | | | | |   (22887)   ~ (e2 = e0)
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | REDUCE: (45), (22882) imply:
% 193.14/31.06  | | | | | | | | | |   (22888)  op(e1, e1) = e0
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | BETA: splitting (225) gives:
% 193.14/31.06  | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | |   (22889)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 193.14/31.06  | | | | | | | | | | |              & op(e2, e2) = e0)
% 193.14/31.06  | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | REF_CLOSE: (7), (170), (18039), (22337), (22889),
% 193.14/31.06  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.14/31.06  | | | | | | | | | | |            #54.
% 193.14/31.06  | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | |   (22890)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 193.14/31.06  | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 193.14/31.06  | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | BETA: splitting (22890) gives:
% 193.14/31.06  | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | |   (22891)  all_56_7 = e0 & op(e1, e2) = e0
% 193.14/31.06  | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | ALPHA: (22891) implies:
% 193.14/31.06  | | | | | | | | | | | |   (22892)  all_56_7 = e0
% 193.14/31.06  | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (214), (215),
% 193.14/31.06  | | | | | | | | | | | |            (216), (22804), (22888), (22892),
% 193.14/31.06  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.14/31.06  | | | | | | | | | | | |            #1521.
% 193.14/31.06  | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | |   (22893)  all_56_13 = e0 & op(e0, e2) = e0
% 193.14/31.06  | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | ALPHA: (22893) implies:
% 193.14/31.06  | | | | | | | | | | | |   (22894)  all_56_13 = e0
% 193.14/31.06  | | | | | | | | | | | |   (22895)  op(e0, e2) = e0
% 193.14/31.06  | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | BETA: splitting (192) gives:
% 193.14/31.06  | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | |   (22896)  all_54_12 = e3
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | COMBINE_EQS: (249), (22896) imply:
% 193.14/31.06  | | | | | | | | | | | | |   (22897)  all_52_3 = e3
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | SIMP: (22897) implies:
% 193.14/31.06  | | | | | | | | | | | | |   (22898)  all_52_3 = e3
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | REDUCE: (144), (22898) imply:
% 193.14/31.06  | | | | | | | | | | | | |   (22899)   ~ (all_52_2 = e3)
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | REDUCE: (139), (22898) imply:
% 193.14/31.06  | | | | | | | | | | | | |   (22900)   ~ (all_52_11 = e3)
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | SIMP: (22900) implies:
% 193.14/31.06  | | | | | | | | | | | | |   (22901)   ~ (all_52_11 = e3)
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | BETA: splitting (235) gives:
% 193.14/31.06  | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | |   (22902)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 193.14/31.06  | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 193.14/31.06  | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (18029), (22340), (22902),
% 193.14/31.06  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.14/31.06  | | | | | | | | | | | | | |            #29.
% 193.14/31.06  | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | |   (22903)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 193.14/31.06  | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 193.14/31.06  | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | BETA: splitting (22903) gives:
% 193.14/31.06  | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | |   (22904)  all_56_6 = e3 & op(e1, e3) = e3
% 193.14/31.06  | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | ALPHA: (22904) implies:
% 193.14/31.06  | | | | | | | | | | | | | | |   (22905)  op(e1, e3) = e3
% 193.14/31.06  | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | REF_CLOSE: (163), (22899), (22905), (function-axioms) are
% 193.14/31.06  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 193.14/31.06  | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | |   (22906)  all_56_12 = e3 & op(e0, e3) = e3
% 193.14/31.06  | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | ALPHA: (22906) implies:
% 193.14/31.06  | | | | | | | | | | | | | | |   (22907)  all_56_12 = e3
% 193.14/31.06  | | | | | | | | | | | | | | |   (22908)  op(e0, e3) = e3
% 193.14/31.06  | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | |   (22909)  all_54_14 = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (22909) imply:
% 193.14/31.06  | | | | | | | | | | | | | | | |   (22910)  all_52_11 = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | REDUCE: (22901), (22910) imply:
% 193.14/31.06  | | | | | | | | | | | | | | | |   (22911)  $false
% 193.14/31.06  | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | CLOSE: (22911) is inconsistent.
% 193.14/31.06  | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | |   (22912)   ~ (all_54_14 = e3)
% 193.14/31.06  | | | | | | | | | | | | | | | |   (22913)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 193.14/31.06  | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | BETA: splitting (22913) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | |   (22914)  all_54_14 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (22914) imply:
% 193.14/31.06  | | | | | | | | | | | | | | | | |   (22915)  all_52_11 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | REDUCE: (118), (22915) imply:
% 193.14/31.06  | | | | | | | | | | | | | | | | |   (22916)   ~ (all_52_9 = e2)
% 193.14/31.06  | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | REDUCE: (22901), (22915) imply:
% 193.14/31.06  | | | | | | | | | | | | | | | | |   (22917)   ~ (e3 = e2)
% 193.14/31.06  | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | |   (22918)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | BETA: splitting (22918) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | |   (22919)  all_56_4 = e3 & op(e3, e1) = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | ALPHA: (22919) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | |   (22920)  all_56_4 = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | | | |   (22921)  op(e3, e1) = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | |   (22922)  all_54_6 = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (18033), (22922) are inconsistent by
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | |            sub-proof #1468.
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | |   (22923)   ~ (all_54_6 = e3)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | |   (22924)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | |   (22925)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22925) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | |   (22926)  all_56_4 = e1 & op(e3, e1) = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22926) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | |   (22927)  op(e3, e1) = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22921), (22927), (function-axioms) are
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | |   (22928)  all_56_5 = e1 & op(e2, e1) = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22928) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | |   (22929)  all_56_5 = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | |   (22930)  op(e2, e1) = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | |   (22931)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22931) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | |   (22932)  all_56_12 = e2 & op(e0, e3) = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22932) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | |   (22933)  all_56_12 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (22907), (22933) are inconsistent by
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1354.
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | |   (22934)  all_56_13 = e2 & op(e0, e2) = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22934) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | |   (22935)  op(e0, e2) = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22895), (22935), (function-axioms) are
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | |   (22936)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22936) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | |   (22937)  all_56_14 = e2 & op(e0, e1) = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22937) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | |   (22938)  all_56_14 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (22939)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (18031), (22899), (22939),
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (22940)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22940) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22941)  all_56_8 = e3 & op(e1, e1) = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22941) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22942)  op(e1, e1) = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (22888), (22942), (function-axioms) are
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22943)  all_56_11 = e3 & op(e1, e0) = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22943) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (22944)  all_56_11 = e3
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22945)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22945) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22946)  all_56_9 = e2 & op(e3, e0) = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22946) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22947)  all_56_9 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22948)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22948) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22949)  all_56_2 = e2 & op(e2, e3) = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22949) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22950)  all_56_2 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22924) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22951)  all_54_6 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (22916), (22951) are inconsistent by
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1467.
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22952)   ~ (all_54_6 = e2)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22953)  all_54_6 = e1 | all_54_6 = e0
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22954)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22954) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22955)  all_56_0 = e1 & op(e3, e3) = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22955) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22956)  op(e3, e3) = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22340), (22956), (function-axioms) are
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22957)  all_56_1 = e1 & op(e3, e2) = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22957) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22958)  all_56_1 = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22959)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (22340), (22950), (22959),
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #17.
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22960)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22960) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22961)  all_56_6 = e1 & op(e1, e3) = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22961) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22962)  all_56_6 = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22963)  op(e1, e3) = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22964)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22964) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22965)  all_56_6 = e2 & op(e1, e3) = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22965) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22966)  all_56_6 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22962), (22966) imply:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22967)  e2 = e1
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (22907),
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22950), (22962), (22967) are inconsistent by
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #16.
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22968)  all_56_7 = e2 & op(e1, e2) = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22968) implies:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22969)  all_56_7 = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22970)  op(e1, e2) = e2
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22953) gives:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.14/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22971)  all_54_6 = e1
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (22971) imply:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22972)  all_52_9 = e1
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22972) implies:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22973)  all_52_9 = e1
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (22973) imply:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22974)   ~ (all_52_8 = e1)
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18033), (22973) imply:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22975)   ~ (e3 = e1)
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22916), (22973) imply:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22976)   ~ (e2 = e1)
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22977)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22977) gives:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22978)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22978) gives:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22979)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22979) gives:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22980)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22980) implies:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22981)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (22801), (22895), (22938),
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22981), (function-axioms) are inconsistent by
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #582.
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22982)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22982) implies:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22983)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (22888), (22963), (22983), (function-axioms)
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1325.
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22984)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (169), (22340), (22974), (22984),
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #15.
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22985)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22985) gives:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22986)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (159), (168), (169), (22336), (22921),
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22986), (function-axioms) are inconsistent by
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #225.
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22987)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18039), (22970), (22987),
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #158.
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22988)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22988) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22989)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22989) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22990)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22990) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22991)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22991) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22992)  op(e0, e2) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22895), (22992), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22993)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22993) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22994)  op(e0, e0) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (206), (207), (209), (218), (219), (220),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22801), (22888), (22920), (22930), (22974),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22994), (function-axioms) are inconsistent by
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1403.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22995)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (160), (261), (22883), (22885),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22916), (22924), (22995), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #583.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22996)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22996) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22997)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22997) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22998)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22998) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (22999)  op(e3, e3) = e3
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23000)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23000) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23001)  all_56_0 = e0 & op(e3, e3) = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (22340), (22999), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1961.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23002)  all_56_1 = e0 & op(e3, e2) = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23002) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23003)  all_56_1 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22958), (23003) imply:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23004)  e1 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22929), (23004) imply:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23005)  all_56_5 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219), (220),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22888), (23005), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1551.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23006)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23006) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23007)  all_56_4 = e0 & op(e3, e1) = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23007) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23008)  all_56_4 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (22888),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22929), (23008), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1817.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23009)  all_56_9 = e0 & op(e3, e0) = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23009) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23010)  all_56_9 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22947), (23010) imply:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23011)  e2 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22969), (23011) imply:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23012)  all_56_7 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (22888),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22962), (23012), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1523.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23013)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23013) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23014)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (22801), (22895), (22938),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23014), (function-axioms) are inconsistent by
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #582.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23015)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22805), (22888), (23015), (function-axioms)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #915.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23016)  all_54_6 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (22883), (23016) are inconsistent by
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1452.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23017)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23017) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23018)  all_56_8 = e2 & op(e1, e1) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23018) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23019)  op(e1, e1) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22888), (23019), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1821.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23020)  all_56_11 = e2 & op(e1, e0) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23020) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23021)  all_56_11 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22944), (23021) imply:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23022)  e3 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22920), (23022) imply:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23023)  all_56_4 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (22888),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22938), (23023), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #663.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23024)  all_56_12 = e1 & op(e0, e3) = e1
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23024) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23025)  op(e0, e3) = e1
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22908), (23025), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #375.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23026)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (22803), (22921), (23026),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #42.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23027)  all_56_3 = e2 & op(e2, e2) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23027) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23028)  op(e2, e2) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (23028), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23029)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (167), (221), (18039),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22334), (22916), (22930), (23029),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #50.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23030)  all_56_10 = e2 & op(e2, e0) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23030) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23031)  all_56_10 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (167), (221), (18039), (22334),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22930), (23031), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #51.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23032)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23032) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23033)  all_56_11 = e2 & op(e1, e0) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23033) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23034)  all_56_11 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22944), (23034) imply:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23035)  e3 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23035) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23036)  e3 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22920), (23036) imply:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23037)  all_56_4 = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (22888),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22938), (23037), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #663.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23038)  all_56_15 = e2 & op(e0, e0) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23038) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23039)  op(e0, e0) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (139), (157), (159),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (22801), (22938), (23039),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1228.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | |   (23040)  all_56_15 = e2 & op(e0, e0) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23040) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | |   (23041)  op(e0, e0) = e2
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (159), (207),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (22801), (22802), (22888),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | |            (22894), (22929), (23041), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1429.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | |   (23042)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (118), (157), (261), (22883), (22888),
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | |            (22916), (22924), (23042), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #647.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | |   (23043)  all_56_5 = e3 & op(e2, e1) = e3
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | ALPHA: (23043) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | |   (23044)  op(e2, e1) = e3
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (18033), (23044), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | |   (23045)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 193.15/31.07  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 193.15/31.07  | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | BETA: splitting (23045) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | |   (23046)  all_56_8 = e3 & op(e1, e1) = e3
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | ALPHA: (23046) implies:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | |   (23047)  op(e1, e1) = e3
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (22888), (23047), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | |   (23048)  all_56_14 = e3 & op(e0, e1) = e3
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (22901), (23048), (function-axioms) are
% 193.15/31.07  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #154.
% 193.15/31.07  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | |   (23049)  all_54_14 = e1 | all_54_14 = e0
% 193.15/31.07  | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (22802), (22884), (23049) are inconsistent
% 193.15/31.07  | | | | | | | | | | | | | | | | |            by sub-proof #1737.
% 193.15/31.07  | | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | End of split
% 193.15/31.07  | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | |   (23050)   ~ (all_54_12 = e3)
% 193.15/31.07  | | | | | | | | | | | | |   (23051)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.15/31.07  | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | REDUCE: (249), (23050) imply:
% 193.15/31.07  | | | | | | | | | | | | |   (23052)   ~ (all_52_3 = e3)
% 193.15/31.07  | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.15/31.07  | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | |   (23053)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.15/31.07  | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.15/31.07  | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.07  | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.07  | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.15/31.07  | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.15/31.07  | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.15/31.07  | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.15/31.07  | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.07  | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.07  | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.15/31.07  | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.07  | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.07  | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.07  | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.15/31.07  | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.07  | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.07  | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.15/31.07  | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.07  | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.07  | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.15/31.07  | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.07  | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.07  | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.07  | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.07  | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.15/31.07  | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.07  | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.07  | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.15/31.07  | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.15/31.07  | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.15/31.07  | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.07  | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.07  | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.07  | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.07  | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.15/31.07  | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.15/31.07  | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.07  | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.07  | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.15/31.07  | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.15/31.07  | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.07  | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | BETA: splitting (23053) gives:
% 193.15/31.07  | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | |   (23054)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.15/31.07  | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.07  | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.07  | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.15/31.07  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.15/31.07  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.15/31.07  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.15/31.07  | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.07  | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.07  | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.15/31.07  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.07  | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.07  | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.07  | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.15/31.07  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.15/31.07  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.15/31.07  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.15/31.07  | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.07  | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.15/31.07  | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | BETA: splitting (23054) gives:
% 193.15/31.07  | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | Case 1:
% 193.15/31.07  | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | |   (23055)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.15/31.07  | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.07  | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.15/31.07  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.15/31.07  | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.15/31.07  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.15/31.07  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.15/31.07  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.07  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.15/31.07  | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (148), (167), (249), (22336), (22801),
% 193.15/31.07  | | | | | | | | | | | | | | | |            (22805), (22895), (23051), (23055),
% 193.15/31.07  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.07  | | | | | | | | | | | | | | | |            #21.
% 193.15/31.07  | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | Case 2:
% 193.15/31.07  | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | |   (23056)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.15/31.07  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.07  | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.07  | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.07  | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.07  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.07  | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.15/31.07  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.15/31.07  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.15/31.07  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.07  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.07  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.15/31.07  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.07  | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.15/31.07  | | | | | | | | | | | | | | | | 
% 193.15/31.07  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (22340), (22888), (23056),
% 193.15/31.07  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.07  | | | | | | | | | | | | | | | |            #363.
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | |   (23057)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.08  | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.08  | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.08  | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.15/31.08  | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.15/31.08  | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.15/31.08  | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.08  | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.08  | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.08  | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.15/31.08  | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.15/31.08  | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | BETA: splitting (23057) gives:
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | |   (23058)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.08  | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.08  | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.15/31.08  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.15/31.08  | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | REF_CLOSE: (159), (22336), (23052), (23058),
% 193.15/31.08  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.08  | | | | | | | | | | | | | | | |            #14.
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | |   (23059)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.08  | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.08  | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.15/31.08  | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.15/31.08  | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | BETA: splitting (23059) gives:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23060)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.08  | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 193.15/31.08  | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.15/31.08  | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | ALPHA: (23060) implies:
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23061)  op(e2, e2) = e1
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (23061), (function-axioms) are
% 193.15/31.08  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23062)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.15/31.08  | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 193.15/31.08  | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | ALPHA: (23062) implies:
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23063)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 193.15/31.08  | | | | | | | | | | | | | | | | |                = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (22805), (22895), (23063), (function-axioms)
% 193.15/31.08  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #283.
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | |   (23064)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.15/31.08  | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.08  | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.08  | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.08  | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.08  | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.15/31.08  | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.15/31.08  | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.15/31.08  | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.15/31.08  | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.08  | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.08  | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.15/31.08  | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.15/31.08  | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.15/31.08  | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.15/31.08  | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.15/31.08  | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.15/31.08  | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.15/31.08  | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.15/31.08  | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.15/31.08  | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.15/31.08  | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.15/31.08  | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.08  | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.15/31.08  | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.15/31.08  | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.15/31.08  | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.08  | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.08  | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.15/31.08  | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.15/31.08  | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.15/31.08  | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.08  | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.08  | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.15/31.08  | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.15/31.08  | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.15/31.08  | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.08  | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.08  | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (157), (160), (22340),
% 193.15/31.08  | | | | | | | | | | | | | |            (22802), (22805), (22885), (22888), (22895),
% 193.15/31.08  | | | | | | | | | | | | | |            (23064), (function-axioms) are inconsistent by
% 193.15/31.08  | | | | | | | | | | | | | |            sub-proof #281.
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | 
% 193.15/31.08  | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | 
% 193.15/31.08  | | | | | | | | |   (23065)  all_20_2 = e3
% 193.15/31.08  | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | COMBINE_EQS: (325), (23065) imply:
% 193.15/31.08  | | | | | | | | |   (23066)  all_10_2 = e3
% 193.15/31.08  | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | SIMP: (23066) implies:
% 193.15/31.08  | | | | | | | | |   (23067)  all_10_2 = e3
% 193.15/31.08  | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | REDUCE: (350), (23067) imply:
% 193.15/31.08  | | | | | | | | |   (23068)   ~ (all_52_2 = e3)
% 193.15/31.08  | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | REDUCE: (368), (23067) imply:
% 193.15/31.08  | | | | | | | | |   (23069)   ~ (all_52_14 = e3)
% 193.15/31.08  | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | REDUCE: (45), (23067) imply:
% 193.15/31.08  | | | | | | | | |   (23070)  op(e1, e1) = e3
% 193.15/31.08  | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | BETA: splitting (235) gives:
% 193.15/31.08  | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | |   (23071)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 193.15/31.08  | | | | | | | | | |              & op(e2, e3) = e3)
% 193.15/31.08  | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | REF_CLOSE: (7), (167), (18029), (22340), (23071),
% 193.15/31.08  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.08  | | | | | | | | | |            #29.
% 193.15/31.08  | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | |   (23072)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 193.15/31.08  | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 193.15/31.08  | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | BETA: splitting (23072) gives:
% 193.15/31.08  | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | |   (23073)  all_56_6 = e3 & op(e1, e3) = e3
% 193.15/31.08  | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | ALPHA: (23073) implies:
% 193.15/31.08  | | | | | | | | | | |   (23074)  op(e1, e3) = e3
% 193.15/31.08  | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | REF_CLOSE: (163), (23068), (23074), (function-axioms) are
% 193.15/31.08  | | | | | | | | | | |            inconsistent by sub-proof #1179.
% 193.15/31.08  | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | |   (23075)  all_56_12 = e3 & op(e0, e3) = e3
% 193.15/31.08  | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | ALPHA: (23075) implies:
% 193.15/31.08  | | | | | | | | | | |   (23076)  op(e0, e3) = e3
% 193.15/31.08  | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | BETA: splitting (212) gives:
% 193.15/31.08  | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | |   (23077)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 193.15/31.08  | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 193.15/31.08  | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | BETA: splitting (23077) gives:
% 193.15/31.08  | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | |   (23078)  all_56_9 = e3 & op(e3, e0) = e3
% 193.15/31.08  | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | ALPHA: (23078) implies:
% 193.15/31.08  | | | | | | | | | | | | |   (23079)  op(e3, e0) = e3
% 193.15/31.08  | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 193.15/31.08  | | | | | | | | | | | | |              e3, e0, simplifying with (159), (23076) gives:
% 193.15/31.08  | | | | | | | | | | | | |   (23080)  all_52_3 = e3
% 193.15/31.08  | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 193.15/31.08  | | | | | | | | | | | | |              e3, e0, e3, simplifying with (168), (23079) gives:
% 193.15/31.08  | | | | | | | | | | | | |   (23081)  all_52_12 = e3
% 193.15/31.08  | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | REDUCE: (139), (23080) imply:
% 193.15/31.08  | | | | | | | | | | | | |   (23082)   ~ (all_52_11 = e3)
% 193.15/31.08  | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | SIMP: (23082) implies:
% 193.15/31.08  | | | | | | | | | | | | |   (23083)   ~ (all_52_11 = e3)
% 193.15/31.08  | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | REDUCE: (120), (23081) imply:
% 193.15/31.08  | | | | | | | | | | | | |   (23084)   ~ (all_52_8 = e3)
% 193.15/31.08  | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.15/31.08  | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | |   (23085)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.15/31.08  | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.15/31.08  | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.15/31.08  | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.15/31.08  | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.15/31.08  | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.15/31.08  | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.15/31.08  | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.15/31.08  | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.15/31.08  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.15/31.08  | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.15/31.08  | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.15/31.08  | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.15/31.08  | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.15/31.08  | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.15/31.08  | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | BETA: splitting (23085) gives:
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | |   (23086)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.15/31.08  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.15/31.08  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.15/31.08  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.15/31.08  | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.15/31.08  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.15/31.08  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | BETA: splitting (23086) gives:
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | |   (23087)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.15/31.08  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.15/31.08  | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.15/31.08  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (23087), (function-axioms) are
% 193.15/31.08  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | |   (23088)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.15/31.08  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.15/31.08  | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | REF_CLOSE: (23070), (23088), (function-axioms) are
% 193.15/31.08  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #133.
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | |   (23089)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.15/31.08  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.15/31.08  | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.15/31.08  | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.15/31.08  | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.15/31.08  | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.15/31.08  | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.15/31.08  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.15/31.08  | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.15/31.08  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_10))
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | BETA: splitting (23089) gives:
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | |   (23090)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.15/31.08  | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.15/31.08  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (23090), (function-axioms) are
% 193.15/31.08  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | |   (23091)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.15/31.08  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 193.15/31.08  | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.15/31.08  | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | BETA: splitting (23091) gives:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23092)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.15/31.08  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | ALPHA: (23092) implies:
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23093)  op(e3, e3) = e2
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22340), (23093), (function-axioms) are
% 193.15/31.08  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23094)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.15/31.08  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.15/31.08  | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.15/31.08  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.15/31.08  | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18039), (22805), (23094),
% 193.15/31.08  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.08  | | | | | | | | | | | | | | | | |            #107.
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | |   (23095)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.15/31.08  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.15/31.08  | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.15/31.08  | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.15/31.08  | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.15/31.08  | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.15/31.08  | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.15/31.08  | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.15/31.08  | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.15/31.08  | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.15/31.08  | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.15/31.08  | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.15/31.08  | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.15/31.08  | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.15/31.08  | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.15/31.08  | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.15/31.08  | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.15/31.08  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.15/31.08  | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.15/31.08  | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.15/31.08  | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.15/31.08  | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.15/31.08  | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.15/31.08  | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.15/31.08  | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.15/31.08  | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.15/31.08  | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.15/31.08  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.15/31.08  | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.15/31.08  | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.15/31.08  | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.15/31.08  | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.15/31.08  | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.15/31.08  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.15/31.08  | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.15/31.08  | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.15/31.08  | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.15/31.08  | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | BETA: splitting (23095) gives:
% 193.15/31.08  | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | |   (23096)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.15/31.08  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.15/31.08  | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.15/31.08  | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.15/31.08  | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.15/31.08  | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.15/31.08  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.15/31.08  | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.15/31.08  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.15/31.08  | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | BETA: splitting (23096) gives:
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | |   (23097)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.15/31.08  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.15/31.08  | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.15/31.08  | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12))
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (169), (22340), (23084), (23097),
% 193.15/31.08  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.08  | | | | | | | | | | | | | | | |            #565.
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | |   (23098)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.15/31.08  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 193.15/31.08  | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 193.15/31.08  | | | | | | | | | | | | | | | |              & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.15/31.08  | | | | | | | | | | | | | | | |              (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 193.15/31.08  | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | BETA: splitting (23098) gives:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23099)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.15/31.08  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.15/31.08  | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.15/31.08  | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.15/31.08  | | | | | | | | | | | | | | | | |            $i(all_57_12)
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | ALPHA: (23099) implies:
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23100)   ~ (all_57_8 = e0)
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23101)  op(e0, e1) = all_57_8
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23102)  op(e2, e1) = e2
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 193.15/31.08  | | | | | | | | | | | | | | | | |              all_57_8, e1, e0, simplifying with (157), (23101)
% 193.15/31.08  | | | | | | | | | | | | | | | | |              gives:
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23103)  all_57_8 = all_52_11
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 193.15/31.08  | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (23102) gives:
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23104)  all_52_9 = e2
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | REDUCE: (23100), (23103) imply:
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23105)   ~ (all_52_11 = e0)
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | REDUCE: (118), (23104) imply:
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23106)   ~ (all_52_11 = e2)
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | SIMP: (23106) implies:
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23107)   ~ (all_52_11 = e2)
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (247), (22802), (23083), (23105), (23107)
% 193.15/31.08  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #411.
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | |   (23108)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.15/31.08  | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.15/31.08  | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.15/31.08  | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.15/31.08  | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.15/31.08  | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (22340), (23108), (function-axioms) are
% 193.15/31.08  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #407.
% 193.15/31.08  | | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | End of split
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | |   (23109)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.15/31.08  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.15/31.08  | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.15/31.08  | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.15/31.08  | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.15/31.08  | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 193.15/31.08  | | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.15/31.08  | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.15/31.08  | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 193.15/31.08  | | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.15/31.08  | | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.15/31.08  | | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.15/31.08  | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.15/31.08  | | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.08  | | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.15/31.08  | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 193.15/31.08  | | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.15/31.08  | | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.15/31.08  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.15/31.08  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.15/31.08  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.15/31.08  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.15/31.08  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.15/31.08  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.15/31.08  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.15/31.08  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.15/31.08  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.15/31.08  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.15/31.08  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.15/31.08  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.15/31.08  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.15/31.08  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.15/31.08  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | BETA: splitting (23109) gives:
% 193.15/31.08  | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | Case 1:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | |   (23110)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.15/31.08  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.15/31.08  | | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.15/31.08  | | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.15/31.08  | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.15/31.08  | | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.15/31.08  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.15/31.08  | | | | | | | | | | | | | | | |              $i(all_57_14))
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | | REF_CLOSE: (22332), (22343), (23079), (23110),
% 193.15/31.08  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.08  | | | | | | | | | | | | | | | |            #28.
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.08  | | | | | | | | | | | | | | | Case 2:
% 193.15/31.08  | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | |   (23111)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.15/31.09  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.15/31.09  | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.15/31.09  | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.15/31.09  | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.15/31.09  | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.15/31.09  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.15/31.09  | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.15/31.09  | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.15/31.09  | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.15/31.09  | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.15/31.09  | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.15/31.09  | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.15/31.09  | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.15/31.09  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.15/31.09  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.15/31.09  | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.15/31.09  | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.15/31.09  | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.15/31.09  | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.15/31.09  | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.15/31.09  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.15/31.09  | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.15/31.09  | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.15/31.09  | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.15/31.09  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.15/31.09  | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.15/31.09  | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.15/31.09  | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | BETA: splitting (23111) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23112)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.15/31.09  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.15/31.09  | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.15/31.09  | | | | | | | | | | | | | | | | |            $i(all_57_13)
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | ALPHA: (23112) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23113)  op(e1, e1) = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (23070), (23113), (function-axioms) are
% 193.15/31.09  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1824.
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23114)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.15/31.09  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 193.15/31.09  | | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 193.15/31.09  | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.15/31.09  | | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.15/31.09  | | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 193.15/31.09  | | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.15/31.09  | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 193.15/31.09  | | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.15/31.09  | | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.15/31.09  | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 193.15/31.09  | | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | BETA: splitting (23114) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | |   (23115)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | ALPHA: (23115) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | |   (23116)  op(e1, e0) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (22804), (23116), (function-axioms) are
% 193.15/31.09  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1958.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | |   (23117)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | ALPHA: (23117) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | |   (23118)  op(e0, e0) = all_57_15
% 193.15/31.09  | | | | | | | | | | | | | | | | | |   (23119)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.15/31.09  | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.15/31.09  | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | BETA: splitting (23119) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |   (23120)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (22336), (22340), (23120),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |            #38.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |   (23121)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (159), (22336), (22340),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |            (22805), (23070), (23118), (23119), (23121),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |            #276.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | |   (23122)  all_56_10 = e3 & op(e2, e0) = e3
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | REF_CLOSE: (164), (18034), (23122), (function-axioms) are
% 193.15/31.09  | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | |   (23123)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 193.15/31.09  | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 193.15/31.09  | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | REF_CLOSE: (8), (160), (22805), (23069), (23123),
% 193.15/31.09  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.09  | | | | | | | | | | | |            #585.
% 193.15/31.09  | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | 
% 193.15/31.09  | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | 
% 193.15/31.09  | | | | | | | End of split
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | Case 2:
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | |   (23124)  all_10_2 = e2
% 193.15/31.09  | | | | | | |   (23125)  ( ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 &
% 193.15/31.09  | | | | | | |              op(e1, e2) = all_10_1 & $i(all_10_0) & $i(all_10_1))
% 193.15/31.09  | | | | | | |            | ( ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 &
% 193.15/31.09  | | | | | | |              $i(all_10_1))
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | | COMBINE_EQS: (332), (23124) imply:
% 193.15/31.09  | | | | | | |   (23126)  all_34_2 = e2
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | | REDUCE: (350), (23124) imply:
% 193.15/31.09  | | | | | | |   (23127)   ~ (all_52_2 = e2)
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | | REDUCE: (361), (23124) imply:
% 193.15/31.09  | | | | | | |   (23128)   ~ (all_52_6 = e2)
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | | REDUCE: (363), (23124) imply:
% 193.15/31.09  | | | | | | |   (23129)   ~ (all_52_8 = e2)
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | | REDUCE: (364), (23124) imply:
% 193.15/31.09  | | | | | | |   (23130)   ~ (all_52_9 = e2)
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | | REDUCE: (366), (23124) imply:
% 193.15/31.09  | | | | | | |   (23131)   ~ (all_52_11 = e2)
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | | REDUCE: (45), (23124) imply:
% 193.15/31.09  | | | | | | |   (23132)  op(e1, e1) = e2
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | | BETA: splitting (52) gives:
% 193.15/31.09  | | | | | | | 
% 193.15/31.09  | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | 
% 193.15/31.09  | | | | | | | |   (23133)   ~ (all_14_2 = e1)
% 193.15/31.09  | | | | | | | | 
% 193.15/31.09  | | | | | | | | BETA: splitting (58) gives:
% 193.15/31.09  | | | | | | | | 
% 193.15/31.09  | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | 
% 193.15/31.09  | | | | | | | | |   (23134)   ~ (all_18_2 = e3)
% 193.15/31.09  | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | REDUCE: (301), (23134) imply:
% 193.15/31.09  | | | | | | | | |   (23135)   ~ (all_14_2 = e3)
% 193.15/31.09  | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | BETA: splitting (73) gives:
% 193.15/31.09  | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | |   (23136)   ~ (all_28_2 = e2)
% 193.15/31.09  | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | REDUCE: (330), (23136) imply:
% 193.15/31.09  | | | | | | | | | |   (23137)   ~ (all_14_2 = e2)
% 193.15/31.09  | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | BETA: splitting (189) gives:
% 193.15/31.09  | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | |   (23138)  all_54_15 = e3
% 193.15/31.09  | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | REF_CLOSE: (246), (23135), (23138) are inconsistent by
% 193.15/31.09  | | | | | | | | | | |            sub-proof #1675.
% 193.15/31.09  | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | |   (23139)   ~ (all_54_15 = e3)
% 193.15/31.09  | | | | | | | | | | |   (23140)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 193.15/31.09  | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | BETA: splitting (23140) gives:
% 193.15/31.09  | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | |   (23141)  all_54_15 = e2
% 193.15/31.09  | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | REF_CLOSE: (246), (23137), (23141) are inconsistent by
% 193.15/31.09  | | | | | | | | | | | |            sub-proof #1648.
% 193.15/31.09  | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | |   (23142)  all_54_15 = e1 | all_54_15 = e0
% 193.15/31.09  | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | BETA: splitting (23142) gives:
% 193.15/31.09  | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | |   (23143)  all_54_15 = e1
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | REF_CLOSE: (246), (23133), (23143) are inconsistent by
% 193.15/31.09  | | | | | | | | | | | | |            sub-proof #1660.
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | |   (23144)  all_54_15 = e0
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | COMBINE_EQS: (246), (23144) imply:
% 193.15/31.09  | | | | | | | | | | | | |   (23145)  all_14_2 = e0
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | SIMP: (23145) implies:
% 193.15/31.09  | | | | | | | | | | | | |   (23146)  all_14_2 = e0
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | REDUCE: (362), (23146) imply:
% 193.15/31.09  | | | | | | | | | | | | |   (23147)   ~ (all_52_7 = e0)
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | REDUCE: (371), (23146) imply:
% 193.15/31.09  | | | | | | | | | | | | |   (23148)   ~ (all_52_13 = e0)
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | REDUCE: (23135), (23146) imply:
% 193.15/31.09  | | | | | | | | | | | | |   (23149)   ~ (e3 = e0)
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | REDUCE: (23133), (23146) imply:
% 193.15/31.09  | | | | | | | | | | | | |   (23150)   ~ (e1 = e0)
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | REDUCE: (51), (23146) imply:
% 193.15/31.09  | | | | | | | | | | | | |   (23151)  op(e0, e0) = e0
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | BETA: splitting (225) gives:
% 193.15/31.09  | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | |   (23152)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 193.15/31.09  | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 193.15/31.09  | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (18039), (22337), (23152),
% 193.15/31.09  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.09  | | | | | | | | | | | | | |            #54.
% 193.15/31.09  | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | |   (23153)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 193.15/31.09  | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 193.15/31.09  | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | BETA: splitting (23153) gives:
% 193.15/31.09  | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | |   (23154)  all_56_7 = e0 & op(e1, e2) = e0
% 193.15/31.09  | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | ALPHA: (23154) implies:
% 193.15/31.09  | | | | | | | | | | | | | | |   (23155)  all_56_7 = e0
% 193.15/31.09  | | | | | | | | | | | | | | |   (23156)  op(e1, e2) = e0
% 193.15/31.09  | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | |   (23157)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 193.15/31.09  | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (18039), (22334), (23157),
% 193.15/31.09  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.09  | | | | | | | | | | | | | | | |            #89.
% 193.15/31.09  | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | |   (23158)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 193.15/31.09  | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | BETA: splitting (23158) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23159)  all_56_5 = e0 & op(e2, e1) = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | ALPHA: (23159) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23160)  all_56_5 = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23161)  op(e2, e1) = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 193.15/31.09  | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (23156) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23162)  all_52_6 = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 193.15/31.09  | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (23161) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23163)  all_52_9 = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | REDUCE: (128), (23162) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23164)   ~ (all_52_7 = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | REDUCE: (126), (23162) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23165)   ~ (all_52_14 = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | SIMP: (23165) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23166)   ~ (all_52_14 = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | REDUCE: (118), (23163) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23167)   ~ (all_52_11 = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | SIMP: (23167) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23168)   ~ (all_52_11 = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | REDUCE: (117), (23163) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23169)   ~ (all_52_13 = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | REDUCE: (23130), (23163) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | |   (23170)   ~ (e2 = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | |   (23171)   ~ (all_34_2 = e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | REDUCE: (23126), (23171) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | |   (23172)  $false
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | CLOSE: (23172) is inconsistent.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | |   (23173)  ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_34_1 & $i(all_34_0) &
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              $i(all_34_1)) | ( ~ (all_34_1 = e3) & op(e1, e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | |              = all_34_1 & $i(all_34_1))
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | BETA: splitting (23173) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |   (23174)   ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_34_1 & $i(all_34_0) &
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |            $i(all_34_1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | ALPHA: (23174) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |   (23175)   ~ (all_34_0 = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |   (23176)  op(e1, e2) = all_34_1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | |   (23177)  op(all_34_1, e1) = all_34_0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | BETA: splitting (23125) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23178)   ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 &
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_10_1 & $i(all_10_0) &
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | ALPHA: (23178) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23179)   ~ (all_10_0 = e3)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23180)  op(e1, e2) = all_10_1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23181)  op(all_10_1, e1) = all_10_0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (23156), (23176) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23182)  all_34_1 = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |              all_34_1, e2, e1, simplifying with (23176),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |              (23180) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23183)  all_34_1 = all_10_1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23182), (23183) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23184)  all_10_1 = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | REDUCE: (23177), (23182) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23185)  op(e0, e1) = all_34_0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | REDUCE: (23181), (23184) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23186)  op(e0, e1) = all_10_0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |              all_10_0, e1, e0, simplifying with (157), (23186)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |              gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23187)  all_52_11 = all_10_0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |              all_34_0, e1, e0, simplifying with (157), (23185)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |              gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23188)  all_52_11 = all_34_0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23187), (23188) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23189)  all_34_0 = all_10_0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | SIMP: (23189) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23190)  all_34_0 = all_10_0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (23187) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23191)  all_54_14 = all_10_0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (23187) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23192)   ~ (all_52_7 = all_10_0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (23187) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23193)   ~ (all_52_8 = all_10_0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | REDUCE: (23131), (23187) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23194)   ~ (all_10_0 = e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | REDUCE: (23175), (23190) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | |   (23195)   ~ (all_10_0 = e0)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | |   (23196)  all_54_14 = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23179), (23191), (23196) are inconsistent by
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | |            sub-proof #268.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | |   (23197)   ~ (all_54_14 = e3)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | |   (23198)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | |   (23199)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23199) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | |   (23200)  all_56_12 = e3 & op(e0, e3) = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23200) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | |   (23201)  all_56_12 = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | |   (23202)  op(e0, e3) = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | |   (23203)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23203) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (23204)  all_56_0 = e2 & op(e3, e3) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23204) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (23205)  op(e3, e3) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22340), (23205), (function-axioms) are
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (23206)  all_56_2 = e2 & op(e2, e3) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23206) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (23207)  all_56_2 = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (23208)  op(e2, e3) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23209)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (163), (233), (22340),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | |            (23127), (23201), (23209), (function-axioms) are
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #13.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23210)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23210) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23211)  all_56_6 = e1 & op(e1, e3) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23211) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23212)  all_56_6 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23213)  op(e1, e3) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23214)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23214) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23215)  all_56_12 = e2 & op(e0, e3) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23215) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23216)  all_56_12 = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (23201), (23216) are inconsistent by
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1354.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23217)  all_56_13 = e2 & op(e0, e2) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23217) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23218)  all_56_13 = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23219)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23219) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23220)  all_56_1 = e1 & op(e3, e2) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23220) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23221)  op(e3, e2) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23222)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23222) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23223)  all_56_0 = e2 & op(e3, e3) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23223) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23224)  op(e3, e3) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22340), (23224), (function-axioms) are
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23225)  all_56_1 = e2 & op(e3, e2) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23225) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23226)  op(e3, e2) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23221), (23226), (function-axioms) are
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #12.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23227)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23227) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23228)  all_56_4 = e2 & op(e3, e1) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (23129), (23228), (function-axioms) are
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #810.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23229)  all_56_9 = e2 & op(e3, e0) = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23229) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23230)  all_56_9 = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23231)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23201), (23202), (23207), (23212), (23218),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23231), (function-axioms) are inconsistent by
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #11.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23232)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23232) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23233)  all_56_14 = e1 & op(e0, e1) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23233) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23234)  all_56_14 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23235)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23235) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23236)  all_56_2 = e1 & op(e2, e3) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23236) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23237)  all_56_2 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (23201),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23212), (23237) are inconsistent by sub-proof
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #275.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23238)  all_56_3 = e1 & op(e2, e2) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23238) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23239)  op(e2, e2) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (165), (169),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (190), (208), (218), (219), (220), (228),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23129), (23130), (23132), (23151), (23155),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23160), (23179), (23191), (23193), (23194),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23195), (23201), (23234), (23239),
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #246.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23240)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23240) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23241)  all_56_5 = e1 & op(e2, e1) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23241) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23242)  op(e2, e1) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23161), (23242), (function-axioms) are
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #72.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23243)  all_56_10 = e1 & op(e2, e0) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23243) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23244)  all_56_10 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23198) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23245)  all_54_14 = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23191), (23194), (23245) are inconsistent by
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #267.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23246)   ~ (all_54_14 = e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23247)  all_54_14 = e1 | all_54_14 = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23247) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23248)  all_54_14 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23191), (23248) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23249)  all_10_0 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23249) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23250)  all_10_0 = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23192), (23250) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23251)   ~ (all_52_7 = e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23193), (23250) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23252)   ~ (all_52_8 = e1)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23186), (23250) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23253)  op(e0, e1) = e1
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23254)  all_54_2 = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (23254) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23255)  all_52_8 = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (23255) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23256)   ~ (all_52_12 = e3)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23256) implies:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23257)   ~ (all_52_12 = e3)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (23255) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23258)  op(e3, e1) = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23259)  all_54_13 = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (23259) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23260)  all_52_7 = e3
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18032), (23260) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23261)  $false
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23261) is inconsistent.
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23262)   ~ (all_54_13 = e3)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23263)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23263) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23264)  all_54_13 = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (23264) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23265)  all_52_7 = e2
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (23265) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23266)   ~ (all_52_4 = e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18032), (23265) imply:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23267)   ~ (e3 = e2)
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23268)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23268) gives:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23269)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23269) gives:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23270)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (23266), (23270),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23271)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (169), (22340), (23252), (23271),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #15.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23272)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23272) gives:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23273)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (159), (168), (169), (22336), (23258),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23273), (function-axioms) are inconsistent by
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #225.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23274)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23274) gives:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23275)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23275) implies:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23276)  op(e2, e2) = e1
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (158), (165),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (190), (207), (208), (218), (219),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (228), (23129), (23130), (23132), (23151),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23155), (23160), (23179), (23191), (23193),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23194), (23195), (23201), (23202), (23251),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23276), (function-axioms) are inconsistent by
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #245.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23277)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23277) implies:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23278)  op(e1, e2) = e1
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (162), (163), (23213), (23278),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #185.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23279)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23279) gives:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23280)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23280) gives:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23281)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (167), (23148), (23208), (23281),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #10.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23282)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23282) gives:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23283)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23283) implies:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23284)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (110), (113), (120), (133), (134), (143),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (162), (163), (165),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (190), (197), (201), (203),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (218), (219), (220), (228),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (260), (270), (272), (18030), (18034),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18039), (22336), (22337), (22339), (22340),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23129), (23130), (23132), (23147), (23148),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23151), (23155), (23160), (23166), (23168),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23179), (23191), (23193), (23194), (23195),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23201), (23202), (23208), (23213), (23230),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23244), (23251), (23257), (23258), (23266),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23284), (function-axioms) are inconsistent by
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #7.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23285)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23285) implies:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23286)  op(e1, e0) = e0
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (23166), (23286), (function-axioms) are
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23287)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23287) gives:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23288)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (18039), (22335), (23201), (23288),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #6.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23289)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23289) gives:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23290)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23290) implies:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23291)  op(e1, e1) = e1
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23132), (23291), (function-axioms) are
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23292)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23292) implies:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23293)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (110), (113), (120), (133), (134), (143),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (159), (160), (162), (163), (165),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (190), (197), (201), (203),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (218), (219), (220), (228),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (238), (260), (270), (272), (18030), (18034),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18039), (22336), (22337), (22339), (22340),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23129), (23130), (23132), (23147), (23148),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23151), (23155), (23160), (23166), (23168),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23179), (23191), (23193), (23194), (23195),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23201), (23202), (23208), (23213), (23230),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23244), (23251), (23257), (23258), (23266),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23293), (function-axioms) are inconsistent by
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #7.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23294)  all_54_13 = e1 | all_54_13 = e0
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (23147), (23251), (23294) are inconsistent
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1652.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23295)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (22338), (23129), (23253),
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23295), (function-axioms) are inconsistent by
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #295.
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.15/31.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.15/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23296)  all_54_14 = e0
% 193.15/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.15/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23191), (23195), (23296) are inconsistent by
% 193.15/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #261.
% 193.15/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23297)  all_56_15 = e1 & op(e0, e0) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23297) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23298)  op(e0, e0) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23151), (23298), (function-axioms) are
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23299)  all_56_3 = e1 & op(e2, e2) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23299) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23300)  op(e2, e2) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (23300), (function-axioms) are
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23301)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23301) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23302)  all_56_7 = e1 & op(e1, e2) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23302) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23303)  op(e1, e2) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (162), (163), (23213), (23303),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #185.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23304)  all_56_13 = e1 & op(e0, e2) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23304) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23305)  all_56_13 = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23218), (23305) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23306)  e2 = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (229), (233), (23201),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23207), (23212), (23306) are inconsistent by
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #16.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23307)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (23131), (23151), (23307),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #516.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23308)  all_56_12 = e1 & op(e0, e3) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23308) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23309)  op(e0, e3) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (23202), (23309), (function-axioms) are
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #375.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | |   (23310)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (23127), (23201), (23310),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | |            #5.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | |   (23311)  all_56_13 = e3 & op(e0, e2) = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23311) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | |   (23312)  op(e0, e2) = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18032), (23312), (function-axioms) are
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | |   (23313)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (165), (169), (218),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | |            (219), (23129), (23130), (23151), (23160),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | |            (23191), (23193), (23194), (23195), (23198),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | |            (23313), (function-axioms) are inconsistent by
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #4.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23314)   ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23156), (23314), (function-axioms) are
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #240.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | |   (23315)   ~ (all_34_1 = e3) & op(e1, e2) = all_34_1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | |            $i(all_34_1)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | ALPHA: (23315) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | |   (23316)   ~ (all_34_1 = e3)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | |   (23317)  op(e1, e2) = all_34_1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | BETA: splitting (23125) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23318)   ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_10_1 & $i(all_10_0) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | ALPHA: (23318) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23319)   ~ (all_10_0 = e3)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23320)  op(e1, e2) = all_10_1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23321)  op(all_10_1, e1) = all_10_0
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (23156), (23317) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23322)  all_34_1 = e0
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |              all_34_1, e2, e1, simplifying with (23317),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |              (23320) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23323)  all_34_1 = all_10_1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23322), (23323) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23324)  all_10_1 = e0
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | REDUCE: (23321), (23324) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23325)  op(e0, e1) = all_10_0
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |              all_10_0, e1, e0, simplifying with (157), (23325)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |              gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23326)  all_52_11 = all_10_0
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (23326) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23327)  all_54_14 = all_10_0
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (23326) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23328)   ~ (all_52_7 = all_10_0)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (23326) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23329)   ~ (all_52_8 = all_10_0)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | REDUCE: (23131), (23326) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23330)   ~ (all_10_0 = e2)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | REDUCE: (23168), (23326) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | |   (23331)   ~ (all_10_0 = e0)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | |   (23332)  all_54_14 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23319), (23327), (23332) are inconsistent by
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | |            sub-proof #268.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | |   (23333)   ~ (all_54_14 = e3)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | |   (23334)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | |   (23335)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23335) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | |   (23336)  all_56_12 = e3 & op(e0, e3) = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23336) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | |   (23337)  all_56_12 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | |   (23338)  op(e0, e3) = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | |   (23339)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23339) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (23340)  all_56_0 = e2 & op(e3, e3) = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23340) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (23341)  op(e3, e3) = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22340), (23341), (function-axioms) are
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (23342)  all_56_2 = e2 & op(e2, e3) = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23342) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (23343)  all_56_2 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (23344)  op(e2, e3) = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23345)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (163), (233), (22340),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (23127), (23337), (23345), (function-axioms) are
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #13.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23346)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23346) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23347)  all_56_6 = e1 & op(e1, e3) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23347) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23348)  all_56_6 = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23349)  op(e1, e3) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23350)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23350) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23351)  all_56_12 = e2 & op(e0, e3) = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23351) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23352)  all_56_12 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (23337), (23352) are inconsistent by
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1354.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23353)  all_56_13 = e2 & op(e0, e2) = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23353) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23354)  all_56_13 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23355)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23337), (23338), (23343), (23348), (23354),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23355), (function-axioms) are inconsistent by
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #11.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23356)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23356) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23357)  all_56_14 = e1 & op(e0, e1) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23357) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23358)  all_56_14 = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23334) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23359)  all_54_14 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23327), (23330), (23359) are inconsistent by
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #267.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23360)   ~ (all_54_14 = e2)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23361)  all_54_14 = e1 | all_54_14 = e0
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23361) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23362)  all_54_14 = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23327), (23362) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23363)  all_10_0 = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23363) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23364)  all_10_0 = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23328), (23364) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23365)   ~ (all_52_7 = e1)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23329), (23364) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23366)   ~ (all_52_8 = e1)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23325), (23364) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23367)  op(e0, e1) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23368)  all_54_2 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (23368) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23369)  all_52_8 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (23369) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23370)   ~ (all_52_12 = e3)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23370) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23371)   ~ (all_52_12 = e3)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (23369) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23372)  op(e3, e1) = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23373)  all_54_13 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (18032), (23373) are inconsistent by
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23374)   ~ (all_54_13 = e3)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23375)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23375) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23376)  all_54_13 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (23376) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23377)  all_52_7 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23377) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23378)  all_52_7 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (23378) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23379)   ~ (all_52_4 = e2)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18032), (23378) imply:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23380)   ~ (e3 = e2)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23381)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23381) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23382)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23382) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23383)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (23379), (23383),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23384)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (169), (22340), (23366), (23384),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #15.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23385)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23385) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23386)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (159), (168), (169), (22336), (23372),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23386), (function-axioms) are inconsistent by
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #225.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23387)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23387) gives:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23388)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23388) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23389)  op(e2, e2) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (158), (165),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (190), (207), (208), (218), (219),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (228), (23129), (23130), (23132), (23151),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23160), (23316), (23317), (23319), (23327),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23329), (23330), (23331), (23337), (23338),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23365), (23389), (function-axioms) are
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #241.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23390)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23390) implies:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23391)  op(e1, e2) = e1
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (162), (163), (23349), (23391),
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #185.
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23392)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23392) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23393)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23393) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23394)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (167), (23148), (23344), (23394),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #10.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23395)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23395) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23396)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23396) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23397)  op(e1, e1) = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (23155),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23348), (23397), (function-axioms) are
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1523.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23398)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23398) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23399)  op(e1, e0) = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (23166), (23399), (function-axioms) are
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1884.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23400)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23400) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23401)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (18039), (22335), (23337), (23401),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #6.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23402)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23402) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23403)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23403) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23404)  op(e1, e1) = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23132), (23404), (function-axioms) are
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23405)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23405) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23406)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23407)  all_54_1 = e3
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (23407) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23408)  all_52_4 = e3
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18030), (23408) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23409)  $false
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23409) is inconsistent.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23410)   ~ (all_54_1 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23411)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23411) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23412)  all_54_1 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (23412) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23413)  all_52_4 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23379), (23413) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23414)  $false
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23414) is inconsistent.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23415)  all_54_1 = e1 | all_54_1 = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23415) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23416)  all_54_1 = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (23416) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23417)  all_52_4 = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (23417) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23418)   ~ (all_52_12 = e1)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23418) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23419)   ~ (all_52_12 = e1)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23420)  all_54_3 = e3
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (23420) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23421)  all_52_12 = e3
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23371), (23421) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23422)  $false
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23422) is inconsistent.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23423)   ~ (all_54_3 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23424)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23424) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23425)  all_54_3 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (23425) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23426)  all_52_12 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (23426) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23427)   ~ (all_52_13 = e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23427) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23428)   ~ (all_52_13 = e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23429)  all_54_7 = e3
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (18034), (23429) are inconsistent by
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23430)   ~ (all_54_7 = e3)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23431)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23431) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23432)  all_54_7 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (23428), (23432) are inconsistent by
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23433)   ~ (all_54_7 = e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23434)  all_54_7 = e1 | all_54_7 = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23434) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23435)  all_54_7 = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (23435) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23436)  all_52_13 = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23436) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23437)  all_52_13 = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (23437) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23438)   ~ (all_52_14 = e1)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23438) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23439)   ~ (all_52_14 = e1)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18034), (23437) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23440)   ~ (e3 = e1)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23428), (23437) imply:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23441)   ~ (e2 = e1)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23406) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23442)  all_57_12 = e0 & op(e2, e2) = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23442) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23443)  op(e2, e2) = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (23443), (function-axioms) are
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23444)   ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23444) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23445)   ~ (all_57_11 = e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23446)  op(e2, e0) = all_57_11
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23447)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23447) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23448)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23448) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23449)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18039), (23349), (23449), (function-axioms) are
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #9.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23450)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23450) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23451)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23451) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23452)   ~ (all_57_0 = e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23453)  op(e2, e3) = all_57_0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23344), (23452), (23453), (function-axioms) are
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #66.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23454)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23454) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23455)  op(e0, e0) = e3
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (23337), (23354), (23358),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23455), (function-axioms) are inconsistent by
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #448.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23456)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23456) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23457)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (23457), (function-axioms) are
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23458)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23458) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23459)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23459) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23460)  op(e1, e2) = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (162), (163), (23349), (23460),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #185.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23461)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23461) gives:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23462)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23462) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23463)  op(e1, e2) = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (162), (163), (23349), (23463),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #185.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23464)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23464) implies:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23465)  op(e2, e2) = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (158), (165),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (190), (207), (208), (218), (219),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (228), (23129), (23130), (23132), (23151),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23160), (23316), (23317), (23319), (23327),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23329), (23330), (23331), (23337), (23338),
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23365), (23465), (function-axioms) are
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #241.
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23466)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.20/31.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (120), (157), (158), (159), (160),
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (18039), (22336), (22340), (23147),
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23151), (23168), (23372), (23439), (23445),
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23446), (23466), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #8.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23467)  all_54_7 = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (23148), (23467) are inconsistent by
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1477.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23468)  all_54_3 = e1 | all_54_3 = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (22339), (23419), (23468) are inconsistent
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1061.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23469)  all_54_1 = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (23469) imply:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23470)  all_52_4 = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22337), (23470) imply:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23471)  $false
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23471) is inconsistent.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23472)  all_54_13 = e1 | all_54_13 = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (23147), (23365), (23472) are inconsistent
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1652.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23473)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (22338), (23129), (23367),
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23473), (function-axioms) are inconsistent by
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #295.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23474)  all_54_14 = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23327), (23331), (23474) are inconsistent by
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #261.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23475)  all_56_15 = e1 & op(e0, e0) = e1
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23475) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23476)  op(e0, e0) = e1
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23151), (23476), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23477)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (23131), (23151), (23477),
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #516.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23478)  all_56_12 = e1 & op(e0, e3) = e1
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23478) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23479)  op(e0, e3) = e1
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (23338), (23479), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #375.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | |   (23480)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (23127), (23337), (23480),
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | |            #5.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | |   (23481)  all_56_13 = e3 & op(e0, e2) = e3
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23481) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | |   (23482)  op(e0, e2) = e3
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18032), (23482), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | |   (23483)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (165), (169), (218),
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | |            (219), (23129), (23130), (23151), (23160),
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | |            (23327), (23329), (23330), (23331), (23334),
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | |            (23483), (function-axioms) are inconsistent by
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #4.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | |   (23484)   ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 &
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | |            $i(all_10_1)
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23156), (23484), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #240.
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | |   (23485)  all_56_10 = e0 & op(e2, e0) = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | ALPHA: (23485) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | | |   (23486)  op(e2, e0) = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (23148), (23486), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1173.
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | |   (23487)  all_56_13 = e0 & op(e0, e2) = e0
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | ALPHA: (23487) implies:
% 193.20/31.13  | | | | | | | | | | | | | | |   (23488)  op(e0, e2) = e0
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | REF_CLOSE: (158), (23147), (23488), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | |   (23489)  all_28_2 = e2
% 193.20/31.13  | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | COMBINE_EQS: (330), (23489) imply:
% 193.20/31.13  | | | | | | | | | |   (23490)  all_14_2 = e2
% 193.20/31.13  | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | SIMP: (23490) implies:
% 193.20/31.13  | | | | | | | | | |   (23491)  all_14_2 = e2
% 193.20/31.13  | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | REDUCE: (370), (23491) imply:
% 193.20/31.13  | | | | | | | | | |   (23492)   ~ (all_52_12 = e2)
% 193.20/31.13  | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | REDUCE: (371), (23491) imply:
% 193.20/31.13  | | | | | | | | | |   (23493)   ~ (all_52_13 = e2)
% 193.20/31.13  | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | REDUCE: (23135), (23491) imply:
% 193.20/31.13  | | | | | | | | | |   (23494)   ~ (e3 = e2)
% 193.20/31.13  | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | REDUCE: (51), (23491) imply:
% 193.20/31.13  | | | | | | | | | |   (23495)  op(e0, e0) = e2
% 193.20/31.13  | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | BETA: splitting (223) gives:
% 193.20/31.13  | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | |   (23496)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 193.20/31.13  | | | | | | | | | | |              & op(e2, e2) = e2)
% 193.20/31.13  | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | BETA: splitting (23496) gives:
% 193.20/31.13  | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | |   (23497)  all_56_2 = e2 & op(e2, e3) = e2
% 193.20/31.13  | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | ALPHA: (23497) implies:
% 193.20/31.13  | | | | | | | | | | | |   (23498)  op(e2, e3) = e2
% 193.20/31.13  | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.20/31.13  | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | |   (23499)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.20/31.13  | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.20/31.13  | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.20/31.13  | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.20/31.13  | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.20/31.13  | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.20/31.13  | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.20/31.13  | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.20/31.13  | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.20/31.13  | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.20/31.13  | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.20/31.13  | | | | | | | | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.20/31.13  | | | | | | | | | | | | |              (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.20/31.13  | | | | | | | | | | | | |                e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.20/31.13  | | | | | | | | | | | | |            (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.20/31.13  | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.20/31.13  | | | | | | | | | | | | |              all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.20/31.13  | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.20/31.13  | | | | | | | | | | | | |              &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.20/31.13  | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.20/31.13  | | | | | | | | | | | | |                e2) = e1 & op(e1, e1) = all_57_14 &
% 193.20/31.13  | | | | | | | | | | | | |              $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.20/31.13  | | | | | | | | | | | | |              all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.20/31.13  | | | | | | | | | | | | |              (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.20/31.13  | | | | | | | | | | | | |              = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.20/31.13  | | | | | | | | | | | | |              = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.20/31.13  | | | | | | | | | | | | |              = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.20/31.13  | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.20/31.13  | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.20/31.13  | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | BETA: splitting (23499) gives:
% 193.20/31.13  | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | |   (23500)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.20/31.13  | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.20/31.13  | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.20/31.13  | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.20/31.13  | | | | | | | | | | | | | |            | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.20/31.13  | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.20/31.13  | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.20/31.13  | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | BETA: splitting (23500) gives:
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | |   (23501)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.20/31.13  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.20/31.13  | | | | | | | | | | | | | | |            | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.20/31.13  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | REF_CLOSE: (18039), (23501), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | |            inconsistent by sub-proof #220.
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | |   (23502)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.20/31.13  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.20/31.13  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.20/31.13  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.20/31.13  | | | | | | | | | | | | | | |              &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.20/31.13  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_14))
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | BETA: splitting (23502) gives:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23503)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.20/31.13  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.20/31.13  | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.20/31.13  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.20/31.13  | | | | | | | | | | | | | | | |            $i(all_57_14)
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | ALPHA: (23503) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23504)   ~ (all_57_0 = e2)
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23505)  op(e2, e3) = all_57_0
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | REF_CLOSE: (23498), (23504), (23505), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #66.
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23506)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.20/31.13  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.20/31.13  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 193.20/31.13  | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | ALPHA: (23506) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23507)  op(e0, e0) = e3
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (23495), (23507), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1692.
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | |   (23508)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.20/31.13  | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.20/31.13  | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.20/31.13  | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.20/31.13  | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.20/31.13  | | | | | | | | | | | | | |              (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.20/31.13  | | | | | | | | | | | | | |              = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.20/31.13  | | | | | | | | | | | | | |              all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.20/31.13  | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.20/31.13  | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.20/31.13  | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.20/31.13  | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_10))
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | BETA: splitting (23508) gives:
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | |   (23509)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.20/31.13  | | | | | | | | | | | | | | |                e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | | | |              all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.20/31.13  | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.20/31.13  | | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.20/31.13  | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_10))
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (23509), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1971.
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | |   (23510)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.20/31.13  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.20/31.13  | | | | | | | | | | | | | | |                e1) = all_57_14 & $i(all_57_3) &
% 193.20/31.13  | | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 193.20/31.13  | | | | | | | | | | | | | | |              &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.20/31.13  | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.20/31.13  | | | | | | | | | | | | | | |              (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.20/31.13  | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | BETA: splitting (23510) gives:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23511)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.20/31.13  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.20/31.13  | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | ALPHA: (23511) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23512)  op(e3, e3) = e2
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22340), (23512), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #833.
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23513)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.20/31.13  | | | | | | | | | | | | | | | |                e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.20/31.13  | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.20/31.13  | | | | | | | | | | | | | | | |              op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.20/31.13  | | | | | | | | | | | | | | | |            | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.20/31.13  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.20/31.13  | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.20/31.13  | | | | | | | | | | | | | | | |              $i(all_57_10))
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (23132), (23513), (function-axioms)
% 193.20/31.13  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #68.
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | |   (23514)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.20/31.13  | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.20/31.13  | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.20/31.13  | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.20/31.13  | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.20/31.13  | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.20/31.13  | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.20/31.13  | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.20/31.13  | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.20/31.13  | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.20/31.13  | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.20/31.13  | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.20/31.13  | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.20/31.13  | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.20/31.13  | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.20/31.13  | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.20/31.13  | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.20/31.13  | | | | | | | | | | | | |              & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.20/31.13  | | | | | | | | | | | | |              (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.20/31.13  | | | | | | | | | | | | |              = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.20/31.13  | | | | | | | | | | | | |              = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.20/31.13  | | | | | | | | | | | | |            (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.20/31.13  | | | | | | | | | | | | |                e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.20/31.13  | | | | | | | | | | | | |            | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.20/31.13  | | | | | | | | | | | | |                = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.20/31.13  | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.20/31.13  | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.20/31.13  | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.20/31.13  | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.20/31.13  | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.20/31.13  | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.20/31.13  | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.20/31.13  | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.20/31.13  | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.20/31.13  | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.20/31.13  | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.20/31.13  | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.20/31.13  | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.20/31.13  | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.20/31.13  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.20/31.13  | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.20/31.13  | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.20/31.13  | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.20/31.13  | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.20/31.13  | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.20/31.13  | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.20/31.13  | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.20/31.13  | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.20/31.13  | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | BETA: splitting (23514) gives:
% 193.20/31.13  | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | |   (23515)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.20/31.13  | | | | | | | | | | | | | |                e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | | |              all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.20/31.13  | | | | | | | | | | | | | |              all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.20/31.13  | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.20/31.13  | | | | | | | | | | | | | |                e2) = all_57_12 & op(e2, e1) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.20/31.13  | | | | | | | | | | | | | |              all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.20/31.13  | | | | | | | | | | | | | |              (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.20/31.13  | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.20/31.13  | | | | | | | | | | | | | |            (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.20/31.13  | | | | | | | | | | | | | |                e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | | |              all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.20/31.13  | | | | | | | | | | | | | |              &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_13))
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (22340), (23495), (23515),
% 193.20/31.13  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.13  | | | | | | | | | | | | | |            #368.
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | |   (23516)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.20/31.13  | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.20/31.13  | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.20/31.13  | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.20/31.13  | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.20/31.13  | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 193.20/31.13  | | | | | | | | | | | | | |              e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.20/31.13  | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.20/31.13  | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 193.20/31.13  | | | | | | | | | | | | | |              & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.20/31.13  | | | | | | | | | | | | | |              (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.20/31.13  | | | | | | | | | | | | | |              = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.20/31.13  | | | | | | | | | | | | | |                e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.20/31.13  | | | | | | | | | | | | | |            (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.13  | | | | | | | | | | | | | |              ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.20/31.13  | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.20/31.13  | | | | | | | | | | | | | |                  all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 193.20/31.13  | | | | | | | | | | | | | |                  & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.20/31.13  | | | | | | | | | | | | | |                  = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.20/31.13  | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.20/31.13  | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.20/31.13  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.20/31.13  | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.20/31.13  | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.20/31.13  | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.20/31.13  | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.20/31.13  | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.20/31.13  | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.20/31.13  | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.20/31.13  | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | BETA: splitting (23516) gives:
% 193.20/31.13  | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | |   (23517)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.20/31.13  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.20/31.13  | | | | | | | | | | | | | | |            | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.20/31.13  | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.20/31.13  | | | | | | | | | | | | | | |              & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.20/31.13  | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_9) &
% 193.20/31.13  | | | | | | | | | | | | | | |              $i(all_57_14))
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | BETA: splitting (23517) gives:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23518)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.20/31.13  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.20/31.13  | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | ALPHA: (23518) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23519)  op(e2, e0) = e2
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | REF_CLOSE: (164), (23493), (23519), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23520)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.20/31.13  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.20/31.13  | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | ALPHA: (23520) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23521)   ~ (all_57_9 = e3)
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23522)  op(e1, e0) = e1
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23523)  op(e3, e0) = all_57_9
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 193.20/31.13  | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (23522) gives:
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23524)  all_52_14 = e1
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 193.20/31.13  | | | | | | | | | | | | | | | |              all_57_9, e0, e3, simplifying with (168), (23523)
% 193.20/31.13  | | | | | | | | | | | | | | | |              gives:
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23525)  all_57_9 = all_52_12
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | REDUCE: (23521), (23525) imply:
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23526)   ~ (all_52_12 = e3)
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | |   (23527)  all_54_3 = e3
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (23526), (23527) are inconsistent by
% 193.20/31.13  | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | |   (23528)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (270), (22339), (23492), (23522),
% 193.20/31.13  | | | | | | | | | | | | | | | | |            (23528), (function-axioms) are inconsistent by
% 193.20/31.13  | | | | | | | | | | | | | | | | |            sub-proof #1290.
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | End of split
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | |   (23529)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.20/31.13  | | | | | | | | | | | | | | |                e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.20/31.13  | | | | | | | | | | | | | | |              all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.20/31.13  | | | | | | | | | | | | | | |              $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.20/31.13  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.20/31.13  | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.20/31.13  | | | | | | | | | | | | | | |              $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.20/31.13  | | | | | | | | | | | | | | |              all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.20/31.13  | | | | | | | | | | | | | | |                  all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.20/31.13  | | | | | | | | | | | | | | |                  (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.20/31.13  | | | | | | | | | | | | | | |                  op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | | |                  $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.20/31.13  | | | | | | | | | | | | | | |                  e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | | | |                    e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.20/31.13  | | | | | | | | | | | | | | |                  e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.20/31.13  | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.20/31.13  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | | | |                  e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.20/31.13  | | | | | | | | | | | | | | |                  & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.20/31.13  | | | | | | | | | | | | | | |                  = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | | | |                    e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.20/31.13  | | | | | | | | | | | | | | |                  e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.20/31.13  | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.20/31.13  | | | | | | | | | | | | | | |                    = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.20/31.13  | | | | | | | | | | | | | | |                  e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.20/31.13  | | | | | | | | | | | | | | |                  & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.20/31.13  | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | | | |                    e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.20/31.13  | | | | | | | | | | | | | | |                  all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | BETA: splitting (23529) gives:
% 193.20/31.13  | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23530)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.20/31.13  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.20/31.13  | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.20/31.13  | | | | | | | | | | | | | | | |            $i(all_57_13)
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | ALPHA: (23530) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23531)  op(e2, e0) = e2
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | REF_CLOSE: (164), (23493), (23531), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1662.
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | |   (23532)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.20/31.13  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 193.20/31.13  | | | | | | | | | | | | | | | |              & op(e1, e0) = e1 & $i(all_57_11) &
% 193.20/31.13  | | | | | | | | | | | | | | | |              $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.20/31.13  | | | | | | | | | | | | | | | |              $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 193.20/31.13  | | | | | | | | | | | | | | | |                  &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.20/31.13  | | | | | | | | | | | | | | | |                  op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.20/31.13  | | | | | | | | | | | | | | | |                  op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 193.20/31.13  | | | | | | | | | | | | | | | |                  = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.20/31.13  | | | | | | | | | | | | | | | |                   ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 193.20/31.13  | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | | | |                  $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.20/31.13  | | | | | | | | | | | | | | | |                  e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | | | | |                    e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.20/31.13  | | | | | | | | | | | | | | | |                  all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.20/31.13  | | | | | | | | | | | | | | | |                (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 193.20/31.13  | | | | | | | | | | | | | | | |                    = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.20/31.13  | | | | | | | | | | | | | | | |                  all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.20/31.13  | | | | | | | | | | | | | | | |                  & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.20/31.13  | | | | | | | | | | | | | | | |                  = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.20/31.13  | | | | | | | | | | | | | | | |                    e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.20/31.13  | | | | | | | | | | | | | | | |                  all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.20/31.13  | | | | | | | | | | | | | | | |                (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 193.20/31.13  | | | | | | | | | | | | | | | |                    = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.20/31.13  | | | | | | | | | | | | | | | |                  e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 193.20/31.13  | | | | | | | | | | | | | | | |                  & $i(all_57_7))))
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | BETA: splitting (23532) gives:
% 193.20/31.13  | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | |   (23533)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.20/31.13  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.20/31.13  | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.20/31.13  | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | ALPHA: (23533) implies:
% 193.20/31.13  | | | | | | | | | | | | | | | | |   (23534)  op(e2, e2) = e0
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (23534), (function-axioms) are
% 193.20/31.13  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #202.
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.13  | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.13  | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | |   (23535)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.14  | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.20/31.14  | | | | | | | | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.20/31.14  | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.20/31.14  | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.20/31.14  | | | | | | | | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 193.20/31.14  | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.20/31.14  | | | | | | | | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 193.20/31.14  | | | | | | | | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 193.20/31.14  | | | | | | | | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.20/31.14  | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 193.20/31.14  | | | | | | | | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.20/31.14  | | | | | | | | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 193.20/31.14  | | | | | | | | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.20/31.14  | | | | | | | | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.20/31.14  | | | | | | | | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 193.20/31.14  | | | | | | | | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.20/31.14  | | | | | | | | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 193.20/31.14  | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.20/31.14  | | | | | | | | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7)))
% 193.20/31.14  | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | ALPHA: (23535) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | |   (23536)  op(e0, e0) = all_57_15
% 193.20/31.14  | | | | | | | | | | | | | | | | |   (23537)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.20/31.14  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.20/31.14  | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.20/31.14  | | | | | | | | | | | | | | | | |              &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.20/31.14  | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | |                e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.20/31.14  | | | | | | | | | | | | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.20/31.14  | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.20/31.14  | | | | | | | | | | | | | | | | |              = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.20/31.14  | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.20/31.14  | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.20/31.14  | | | | | | | | | | | | | | | | |              all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.20/31.14  | | | | | | | | | | | | | | | | |              $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | |              &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.20/31.14  | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | |                e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.20/31.14  | | | | | | | | | | | | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.20/31.14  | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.20/31.14  | | | | | | | | | | | | | | | | |              = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.20/31.14  | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (125), (139), (157), (158), (159),
% 193.20/31.14  | | | | | | | | | | | | | | | | |            (165), (206), (220), (18033), (18039), (23131),
% 193.20/31.14  | | | | | | | | | | | | | | | | |            (23132), (23495), (23498), (23536), (23537),
% 193.20/31.14  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.14  | | | | | | | | | | | | | | | | |            #59.
% 193.20/31.14  | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | End of split
% 193.20/31.14  | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | End of split
% 193.20/31.14  | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | End of split
% 193.20/31.14  | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | End of split
% 193.20/31.14  | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | End of split
% 193.20/31.14  | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | |   (23538)  all_56_3 = e2 & op(e2, e2) = e2
% 193.20/31.14  | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | ALPHA: (23538) implies:
% 193.20/31.14  | | | | | | | | | | | |   (23539)  op(e2, e2) = e2
% 193.20/31.14  | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | REF_CLOSE: (9), (18039), (23539), (function-axioms) are
% 193.20/31.14  | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 193.20/31.14  | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | End of split
% 193.20/31.14  | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | |   (23540)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 193.20/31.14  | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 193.20/31.14  | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | REF_CLOSE: (164), (165), (23130), (23493), (23540),
% 193.20/31.14  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.14  | | | | | | | | | | |            #1661.
% 193.20/31.14  | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | End of split
% 193.20/31.14  | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | End of split
% 193.20/31.14  | | | | | | | | | 
% 193.20/31.14  | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | 
% 193.20/31.14  | | | | | | | | |   (23541)  all_18_2 = e3
% 193.20/31.14  | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | COMBINE_EQS: (301), (23541) imply:
% 193.20/31.14  | | | | | | | | |   (23542)  all_14_2 = e3
% 193.20/31.14  | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | SIMP: (23542) implies:
% 193.20/31.14  | | | | | | | | |   (23543)  all_14_2 = e3
% 193.20/31.14  | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | REDUCE: (372), (23543) imply:
% 193.20/31.14  | | | | | | | | |   (23544)   ~ (all_52_14 = e3)
% 193.20/31.14  | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | REDUCE: (51), (23543) imply:
% 193.20/31.14  | | | | | | | | |   (23545)  op(e0, e0) = e3
% 193.20/31.14  | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | BETA: splitting (216) gives:
% 193.20/31.14  | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | |   (23546)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 193.20/31.14  | | | | | | | | | |              & op(e1, e2) = e3)
% 193.20/31.14  | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | BETA: splitting (23546) gives:
% 193.20/31.14  | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | |   (23547)  all_56_6 = e3 & op(e1, e3) = e3
% 193.20/31.14  | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | ALPHA: (23547) implies:
% 193.20/31.14  | | | | | | | | | | |   (23548)  op(e1, e3) = e3
% 193.20/31.14  | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | BETA: splitting (220) gives:
% 193.20/31.14  | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | |   (23549)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 193.20/31.14  | | | | | | | | | | | |              & op(e2, e1) = e3)
% 193.20/31.14  | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | BETA: splitting (23549) gives:
% 193.20/31.14  | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | |   (23550)  all_56_4 = e3 & op(e3, e1) = e3
% 193.20/31.14  | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | ALPHA: (23550) implies:
% 193.20/31.14  | | | | | | | | | | | | |   (23551)  all_56_4 = e3
% 193.20/31.14  | | | | | | | | | | | | |   (23552)  op(e3, e1) = e3
% 193.20/31.14  | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 193.20/31.14  | | | | | | | | | | | | |              e3, e1, simplifying with (163), (23548) gives:
% 193.20/31.14  | | | | | | | | | | | | |   (23553)  all_52_2 = e3
% 193.20/31.14  | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 193.20/31.14  | | | | | | | | | | | | |              e1, e3, simplifying with (169), (23552) gives:
% 193.20/31.14  | | | | | | | | | | | | |   (23554)  all_52_8 = e3
% 193.20/31.14  | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | BETA: splitting (82) gives:
% 193.20/31.14  | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | |   (23555)   ~ (all_34_2 = e2)
% 193.20/31.14  | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | REDUCE: (23126), (23555) imply:
% 193.20/31.14  | | | | | | | | | | | | | |   (23556)  $false
% 193.20/31.14  | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | CLOSE: (23556) is inconsistent.
% 193.20/31.14  | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | |   (23557)  ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0
% 193.20/31.14  | | | | | | | | | | | | | |              & op(e1, e2) = all_34_1 & $i(all_34_0) &
% 193.20/31.14  | | | | | | | | | | | | | |              $i(all_34_1)) | ( ~ (all_34_1 = e3) & op(e1, e2)
% 193.20/31.14  | | | | | | | | | | | | | |              = all_34_1 & $i(all_34_1))
% 193.20/31.14  | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 193.20/31.14  | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | |   (23558)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 193.20/31.14  | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 193.20/31.14  | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | BETA: splitting (23558) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | |   (23559)  all_56_2 = e2 & op(e2, e3) = e2
% 193.20/31.14  | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | ALPHA: (23559) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | |   (23560)  all_56_2 = e2
% 193.20/31.14  | | | | | | | | | | | | | | | |   (23561)  op(e2, e3) = e2
% 193.20/31.14  | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | |   (23562)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 193.20/31.14  | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (22340), (23560), (23562),
% 193.20/31.14  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.14  | | | | | | | | | | | | | | | | |            #17.
% 193.20/31.14  | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | |   (23563)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 193.20/31.14  | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 193.20/31.14  | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | BETA: splitting (23563) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | |   (23564)  all_56_6 = e1 & op(e1, e3) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | ALPHA: (23564) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | |   (23565)  op(e1, e3) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (23548), (23565), (function-axioms) are
% 193.20/31.14  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #142.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | |   (23566)  all_56_12 = e1 & op(e0, e3) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | ALPHA: (23566) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | |   (23567)  all_56_12 = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | |   (23568)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | BETA: splitting (23568) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | |   (23569)  all_56_12 = e2 & op(e0, e3) = e2
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23567), (23569) are inconsistent by
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | |            sub-proof #1543.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | |   (23570)  all_56_13 = e2 & op(e0, e2) = e2
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (23570) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | |   (23571)  all_56_13 = e2
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | |   (23572)  op(e0, e2) = e2
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | |   (23573)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (18039), (22337), (23573),
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | |            #54.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | |   (23574)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23574) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | |   (23575)  all_56_7 = e0 & op(e1, e2) = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23575) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | |   (23576)  all_56_7 = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | |   (23577)  op(e1, e2) = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | |   (23578)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23578) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | |   (23579)  all_56_6 = e1 & op(e1, e3) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23579) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | |   (23580)  op(e1, e3) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (23548), (23580), (function-axioms) are
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #142.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | |   (23581)  all_56_7 = e1 & op(e1, e2) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23576), (23581) are inconsistent by
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #399.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | |   (23582)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23582) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | |   (23583)  all_56_8 = e1 & op(e1, e1) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23583) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | |   (23584)  op(e1, e1) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23132), (23584), (function-axioms) are
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | |   (23585)  all_56_11 = e1 & op(e1, e0) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23585) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | |   (23586)  op(e1, e0) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (23587)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23587) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23588)  all_56_1 = e1 & op(e3, e2) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23588) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23589)  all_56_1 = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23590)  op(e3, e2) = e1
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23591)  all_56_15 = e0 & op(e0, e0) = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23591) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23592)  op(e0, e0) = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (23545), (23592), (function-axioms) are
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23593)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23593) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23594)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23594) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23595)  all_56_12 = e0 & op(e0, e3) = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23595) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23596)  op(e0, e3) = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (22336), (23596), (function-axioms) are
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1935.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23597)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23597) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23598)  all_56_13 = e0 & op(e0, e2) = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23598) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23599)  op(e0, e2) = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (23572), (23599), (function-axioms) are
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23600)  all_56_14 = e0 & op(e0, e1) = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23600) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23601)  op(e0, e1) = e0
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23602)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23602) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23603)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23603) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23604)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23604) gives:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23605)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23605) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23606)  op(e3, e2) = e3
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (23606), (function-axioms) are
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1972.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23607)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23607) implies:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23608)  op(e3, e2) = e2
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23590), (23608), (function-axioms) are
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #12.
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23609)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.20/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23609) gives:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23610)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23610) implies:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23611)  op(e3, e3) = e1
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22340), (23611), (function-axioms) are
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23612)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23612) implies:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23613)  op(e1, e3) = e1
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (23586), (23613),
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #303.
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23614)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23614) gives:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23615)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23615) gives:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23616)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23616) implies:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23617)  op(e3, e0) = e3
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (169), (23552), (23617),
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1912.
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23618)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23618) implies:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23619)  op(e0, e3) = e0
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (23601), (23619),
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1671.
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23620)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23620) gives:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23621)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23621) implies:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23622)  op(e2, e2) = e1
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (23622), (function-axioms) are
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23623)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23623) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23624)  op(e1, e2) = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23125), (23557), (23577), (23624),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #2.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23625)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23625) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23626)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23626) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23627)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23627) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23628)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23628) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23629)  op(e2, e0) = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (167), (23561), (23629),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #34.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23630)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23630) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23631)  op(e0, e2) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (157), (158), (23601), (23631),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #493.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23632)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23632) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23633)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23633) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23634)  op(e1, e1) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (214), (215),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (23127), (23576), (23634),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #750.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23635)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23635) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23636)  op(e1, e0) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23586), (23636), (function-axioms) are
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23637)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23637) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23638)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (18039),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23551), (23589), (23638), (function-axioms) are
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23639)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (23132), (23586), (23639),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #495.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23640)  all_56_3 = e1 & op(e2, e2) = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23640) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23641)  op(e2, e2) = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (23641), (function-axioms) are
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (23642)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23642) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23643)  all_56_7 = e1 & op(e1, e2) = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23643) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23644)  op(e1, e2) = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23125), (23557), (23577), (23644),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            #2.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23645)  all_56_13 = e1 & op(e0, e2) = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23571), (23645) are inconsistent by
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1205.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | |   (23646)  all_56_13 = e0 & op(e0, e2) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23646) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | |   (23647)  op(e0, e2) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (23572), (23647), (function-axioms) are
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #423.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | |   (23648)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (23131), (23545), (23648),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.15  | | | | | | | | | | | | | | | | | | |            #469.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | |   (23649)  all_56_3 = e2 & op(e2, e2) = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | ALPHA: (23649) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | |   (23650)  op(e2, e2) = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18039), (23650), (function-axioms) are
% 193.23/31.15  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #214.
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | End of split
% 193.23/31.15  | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | |   (23651)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 193.23/31.15  | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 193.23/31.15  | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | BETA: splitting (23651) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | |   (23652)  all_56_5 = e2 & op(e2, e1) = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | ALPHA: (23652) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | |   (23653)  op(e2, e1) = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | REF_CLOSE: (165), (23130), (23653), (function-axioms) are
% 193.23/31.15  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1942.
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | |   (23654)  all_56_10 = e2 & op(e2, e0) = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | ALPHA: (23654) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | |   (23655)  all_56_10 = e2
% 193.23/31.15  | | | | | | | | | | | | | | | |   (23656)  op(e2, e0) = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | |   (23657)  all_56_15 = e0 & op(e0, e0) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | ALPHA: (23657) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | |   (23658)  op(e0, e0) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (23545), (23658), (function-axioms) are
% 193.23/31.15  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1947.
% 193.23/31.15  | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | |   (23659)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 193.23/31.15  | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | ALPHA: (23659) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | |   (23660)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 193.23/31.15  | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | |                e0) = e0)
% 193.23/31.15  | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | BETA: splitting (23660) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | |   (23661)  all_56_9 = e0 & op(e3, e0) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | ALPHA: (23661) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | |   (23662)  op(e3, e0) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (22339), (23662), (function-axioms) are
% 193.23/31.15  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1799.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | |   (23663)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | BETA: splitting (23663) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | |   (23664)  all_56_10 = e0 & op(e2, e0) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | ALPHA: (23664) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | |   (23665)  all_56_10 = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (23655), (23665) are inconsistent by
% 193.23/31.15  | | | | | | | | | | | | | | | | | | |            sub-proof #1342.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | |   (23666)  all_56_11 = e0 & op(e1, e0) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | ALPHA: (23666) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | |   (23667)  op(e1, e0) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | |   (23668)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | BETA: splitting (23668) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | |   (23669)  all_56_6 = e1 & op(e1, e3) = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | ALPHA: (23669) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | |   (23670)  op(e1, e3) = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (23548), (23670), (function-axioms) are
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #142.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | |   (23671)  all_56_7 = e1 & op(e1, e2) = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | ALPHA: (23671) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | |   (23672)  all_56_7 = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | |   (23673)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23673) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | |   (23674)  all_56_2 = e1 & op(e2, e3) = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23674) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | |   (23675)  all_56_2 = e1
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | |   (23676)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (18039), (22337), (23676),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | |            #54.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | |   (23677)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23677) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (23678)  all_56_7 = e0 & op(e1, e2) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23678) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (23679)  all_56_7 = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23672), (23679) are inconsistent by
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1522.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (23680)  all_56_13 = e0 & op(e0, e2) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23680) implies:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (23681)  op(e0, e2) = e0
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23682)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23682) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23683)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23683) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23684)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (145), (164), (167), (23545), (23656),
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23681), (23684), (function-axioms) are
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #25.
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23685)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23685) gives:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23686)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23686) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23687)  op(e3, e3) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23675), (23687), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1844.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23688)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23688) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23689)  op(e1, e3) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (23548), (23689), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #142.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23690)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23690) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23691)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (159), (168), (169), (22336), (23552),
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23691), (function-axioms) are inconsistent by
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #225.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23692)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23692) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23693)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23693) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23694)  op(e2, e2) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (23694), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23695)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_5 & $i(all_57_5)))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23695) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23696)  op(e2, e1) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (167), (221), (18039), (22334),
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23655), (23696), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #51.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23697)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23697) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23698)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23698) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23699)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (23545), (23681), (23699),
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #304.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23700)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23700) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23701)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23701) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23702)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18039), (23656), (23702), (function-axioms)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #165.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23703)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23703) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23704)  op(e0, e0) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (23545), (23704), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1392.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23705)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23705) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23706)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (22340), (23545), (23681), (23706),
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #298.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23707)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (18039), (23132), (23656), (23707),
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #45.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |   (23708)  all_56_3 = e1 & op(e2, e2) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23708) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |   (23709)  op(e2, e2) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18039), (23709), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1679.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | |   (23710)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23710) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |   (23711)  all_56_5 = e1 & op(e2, e1) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23711) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |   (23712)  op(e2, e1) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (167), (221), (18039), (22334),
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |            (23655), (23712), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #51.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |   (23713)  all_56_10 = e1 & op(e2, e0) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23655), (23713) are inconsistent by
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1841.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | |   (23714)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (23714) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |   (23715)  all_56_8 = e1 & op(e1, e1) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | ALPHA: (23715) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |   (23716)  op(e1, e1) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23132), (23716), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |   (23717)  all_56_11 = e1 & op(e1, e0) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | ALPHA: (23717) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |   (23718)  op(e1, e0) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23667), (23718), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | |   (23719)  all_56_5 = e3 & op(e2, e1) = e3
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | ALPHA: (23719) implies:
% 193.23/31.16  | | | | | | | | | | | | |   (23720)  op(e2, e1) = e3
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | REF_CLOSE: (165), (18033), (23720), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | |   (23721)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 193.23/31.16  | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 193.23/31.16  | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | BETA: splitting (23721) gives:
% 193.23/31.16  | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | |   (23722)  all_56_8 = e3 & op(e1, e1) = e3
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | ALPHA: (23722) implies:
% 193.23/31.16  | | | | | | | | | | | | |   (23723)  op(e1, e1) = e3
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | REF_CLOSE: (9), (23132), (23723), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | |   (23724)  all_56_14 = e3 & op(e0, e1) = e3
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | ALPHA: (23724) implies:
% 193.23/31.16  | | | | | | | | | | | | |   (23725)  all_56_14 = e3
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (207),
% 193.23/31.16  | | | | | | | | | | | | |            (208), (22336), (23545), (23725),
% 193.23/31.16  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.16  | | | | | | | | | | | | |            #319.
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | |   (23726)  all_56_7 = e3 & op(e1, e2) = e3
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | ALPHA: (23726) implies:
% 193.23/31.16  | | | | | | | | | | |   (23727)  op(e1, e2) = e3
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | REF_CLOSE: (162), (18031), (23727), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | |            inconsistent by sub-proof #1408.
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | |   (23728)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 193.23/31.16  | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 193.23/31.16  | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | REF_CLOSE: (9), (160), (23132), (23544), (23728),
% 193.23/31.16  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.16  | | | | | | | | | |            #507.
% 193.23/31.16  | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | | 
% 193.23/31.16  | | | | | | | | End of split
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | |   (23729)  all_14_2 = e1
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | | REDUCE: (351), (23729) imply:
% 193.23/31.16  | | | | | | | |   (23730)   ~ (all_52_3 = e1)
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | | REDUCE: (362), (23729) imply:
% 193.23/31.16  | | | | | | | |   (23731)   ~ (all_52_7 = e1)
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | | REDUCE: (369), (23729) imply:
% 193.23/31.16  | | | | | | | |   (23732)   ~ (all_52_11 = e1)
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | | REDUCE: (370), (23729) imply:
% 193.23/31.16  | | | | | | | |   (23733)   ~ (all_52_12 = e1)
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | | REDUCE: (371), (23729) imply:
% 193.23/31.16  | | | | | | | |   (23734)   ~ (all_52_13 = e1)
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | | REDUCE: (372), (23729) imply:
% 193.23/31.16  | | | | | | | |   (23735)   ~ (all_52_14 = e1)
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | | REDUCE: (51), (23729) imply:
% 193.23/31.16  | | | | | | | |   (23736)  op(e0, e0) = e1
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | | BETA: splitting (203) gives:
% 193.23/31.16  | | | | | | | | 
% 193.23/31.16  | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | 
% 193.23/31.16  | | | | | | | | |   (23737)  all_54_1 = e3
% 193.23/31.16  | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | REF_CLOSE: (272), (18030), (23737) are inconsistent by
% 193.23/31.16  | | | | | | | | |            sub-proof #1763.
% 193.23/31.16  | | | | | | | | | 
% 193.23/31.16  | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | 
% 193.23/31.16  | | | | | | | | |   (23738)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 193.23/31.16  | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | BETA: splitting (198) gives:
% 193.23/31.16  | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | |   (23739)  all_54_6 = e3
% 193.23/31.16  | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | REF_CLOSE: (261), (18033), (23739) are inconsistent by
% 193.23/31.16  | | | | | | | | | |            sub-proof #1468.
% 193.23/31.16  | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | |   (23740)   ~ (all_54_6 = e3)
% 193.23/31.16  | | | | | | | | | |   (23741)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 193.23/31.16  | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | BETA: splitting (202) gives:
% 193.23/31.16  | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | |   (23742)  all_54_2 = e3
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | COMBINE_EQS: (271), (23742) imply:
% 193.23/31.16  | | | | | | | | | | |   (23743)  all_52_8 = e3
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | SIMP: (23743) implies:
% 193.23/31.16  | | | | | | | | | | |   (23744)  all_52_8 = e3
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | REDUCE: (123), (23744) imply:
% 193.23/31.16  | | | | | | | | | | |   (23745)   ~ (all_52_9 = e3)
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | REDUCE: (121), (23744) imply:
% 193.23/31.16  | | | | | | | | | | |   (23746)   ~ (all_52_11 = e3)
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | SIMP: (23746) implies:
% 193.23/31.16  | | | | | | | | | | |   (23747)   ~ (all_52_11 = e3)
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | REDUCE: (120), (23744) imply:
% 193.23/31.16  | | | | | | | | | | |   (23748)   ~ (all_52_12 = e3)
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | SIMP: (23748) implies:
% 193.23/31.16  | | | | | | | | | | |   (23749)   ~ (all_52_12 = e3)
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | BETA: splitting (220) gives:
% 193.23/31.16  | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | |   (23750)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 193.23/31.16  | | | | | | | | | | | |              & op(e2, e1) = e3)
% 193.23/31.16  | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | BETA: splitting (23750) gives:
% 193.23/31.16  | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | |   (23751)  all_56_4 = e3 & op(e3, e1) = e3
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | ALPHA: (23751) implies:
% 193.23/31.16  | | | | | | | | | | | | |   (23752)  all_56_4 = e3
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | BETA: splitting (201) gives:
% 193.23/31.16  | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | |   (23753)  all_54_3 = e3
% 193.23/31.16  | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | COMBINE_EQS: (270), (23753) imply:
% 193.23/31.16  | | | | | | | | | | | | | |   (23754)  all_52_12 = e3
% 193.23/31.16  | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | REDUCE: (23749), (23754) imply:
% 193.23/31.16  | | | | | | | | | | | | | |   (23755)  $false
% 193.23/31.16  | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | CLOSE: (23755) is inconsistent.
% 193.23/31.16  | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | |   (23756)   ~ (all_54_3 = e3)
% 193.23/31.16  | | | | | | | | | | | | | |   (23757)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.23/31.16  | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | BETA: splitting (23757) gives:
% 193.23/31.16  | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | |   (23758)  all_54_3 = e2
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | COMBINE_EQS: (270), (23758) imply:
% 193.23/31.16  | | | | | | | | | | | | | | |   (23759)  all_52_12 = e2
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | REDUCE: (133), (23759) imply:
% 193.23/31.16  | | | | | | | | | | | | | | |   (23760)   ~ (all_52_4 = e2)
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | REDUCE: (113), (23759) imply:
% 193.23/31.16  | | | | | | | | | | | | | | |   (23761)   ~ (all_52_13 = e2)
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | SIMP: (23761) implies:
% 193.23/31.16  | | | | | | | | | | | | | | |   (23762)   ~ (all_52_13 = e2)
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | REDUCE: (112), (23759) imply:
% 193.23/31.16  | | | | | | | | | | | | | | |   (23763)   ~ (all_52_14 = e2)
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | SIMP: (23763) implies:
% 193.23/31.16  | | | | | | | | | | | | | | |   (23764)   ~ (all_52_14 = e2)
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | REDUCE: (23749), (23759) imply:
% 193.23/31.16  | | | | | | | | | | | | | | |   (23765)   ~ (e3 = e2)
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | |   (23766)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 193.23/31.16  | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | BETA: splitting (23766) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | |   (23767)  all_56_12 = e3 & op(e0, e3) = e3
% 193.23/31.16  | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | ALPHA: (23767) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | |   (23768)  all_56_12 = e3
% 193.23/31.16  | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | |   (23769)  all_54_7 = e3
% 193.23/31.16  | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (18034), (23769) are inconsistent by
% 193.23/31.16  | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | |   (23770)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 193.23/31.16  | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | |   (23771)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 193.23/31.16  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | BETA: splitting (23771) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | |   (23772)  all_56_12 = e2 & op(e0, e3) = e2
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | ALPHA: (23772) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | |   (23773)  all_56_12 = e2
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (23768), (23773) are inconsistent by
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | |            sub-proof #1354.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | |   (23774)  all_56_13 = e2 & op(e0, e2) = e2
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | ALPHA: (23774) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | |   (23775)  all_56_13 = e2
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |   (23776)  all_54_14 = e3
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (23776) imply:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |   (23777)  all_52_11 = e3
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | REDUCE: (23747), (23777) imply:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |   (23778)  $false
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | CLOSE: (23778) is inconsistent.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |   (23779)   ~ (all_54_14 = e3)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | |   (23780)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | |   (23781)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23781) gives:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |   (23782)  all_56_0 = e1 & op(e3, e3) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23782) implies:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |   (23783)  op(e3, e3) = e1
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22340), (23783), (function-axioms) are
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | |   (23784)  all_56_1 = e1 & op(e3, e2) = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23784) implies:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | |   (23785)  all_56_1 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23770) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | |   (23786)  all_54_7 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (23786) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | |   (23787)  all_52_13 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23762), (23787) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | |   (23788)  $false
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23788) is inconsistent.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | |   (23789)   ~ (all_54_7 = e2)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | |   (23790)  all_54_7 = e1 | all_54_7 = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23790) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (23791)  all_54_7 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (23791) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (23792)  all_52_13 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23734), (23792) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (23793)  $false
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23793) is inconsistent.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (23794)  all_54_7 = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (23794) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (23795)  all_52_13 = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (23795) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (23796)   ~ (all_52_14 = e0)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23796) implies:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (23797)   ~ (all_52_14 = e0)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23738) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23798)  all_54_1 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (23760), (23798) are inconsistent by
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #697.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23799)   ~ (all_54_1 = e2)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23800)  all_54_1 = e1 | all_54_1 = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23801)  all_54_11 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (23801) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23802)  all_52_14 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23802) implies:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23803)  all_52_14 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (23803) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23804)   ~ (all_52_2 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23805)  all_54_8 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (23804), (23805) are inconsistent by
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1162.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23806)   ~ (all_54_8 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23807)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23807) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23808)  all_54_8 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (23127), (23808) are inconsistent by
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1258.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23809)   ~ (all_54_8 = e2)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23810)  all_54_8 = e1 | all_54_8 = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23810) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23811)  all_54_8 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (23811) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23812)  all_52_2 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23812) implies:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23813)  all_52_2 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (23813) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23814)   ~ (all_52_6 = e1)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23814) implies:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23815)   ~ (all_52_6 = e1)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23804), (23813) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23816)   ~ (e3 = e1)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23127), (23813) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23817)   ~ (e2 = e1)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (23813) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23818)  op(e1, e3) = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23819)  all_54_9 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (18031), (23819) are inconsistent by
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #715.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23820)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23780) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23821)  all_54_14 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (23821) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23822)  all_52_11 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23131), (23822) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23823)  $false
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23823) is inconsistent.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23824)   ~ (all_54_14 = e2)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23825)  all_54_14 = e1 | all_54_14 = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23825) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23826)  all_54_14 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (23826) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23827)  all_52_11 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23732), (23827) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23828)  $false
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23828) is inconsistent.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23829)  all_54_14 = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (23829) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23830)  all_52_11 = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (23830) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23831)   ~ (all_52_7 = e0)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (23830) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23832)   ~ (all_52_9 = e0)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23747), (23830) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23833)   ~ (e3 = e0)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23131), (23830) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23834)   ~ (e2 = e0)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23732), (23830) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23835)   ~ (e1 = e0)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (23830) imply:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23836)  op(e0, e1) = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23837)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23837) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23838)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23838) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23839)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18030), (23760), (23839),
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23840)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (134), (169), (272), (22337), (22340),
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23800), (23840), (function-axioms) are
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #226.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23841)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23841) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23842)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23842) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23843)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23843) implies:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23844)  op(e3, e0) = e3
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (23749), (23844), (function-axioms) are
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1964.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23845)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1)))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23845) implies:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23846)  op(e0, e3) = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (157), (159), (23836), (23846),
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1671.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23847)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (143), (162), (163), (18039), (23818),
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23847), (function-axioms) are inconsistent by
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #43.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23848)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23848) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23849)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23849) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23850)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (164), (23762), (23831), (23850),
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #634.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23851)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23851) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23852)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23852) implies:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23853)  op(e0, e1) = e1
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (261), (23130), (23741), (23832),
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23853), (function-axioms) are inconsistent by
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #648.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23854)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23854) implies:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23855)  op(e1, e0) = e0
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (258), (23128), (23815), (23820),
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23855), (function-axioms) are inconsistent by
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #230.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23856)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23856) gives:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23857)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (18039),
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23752), (23785), (23857), (function-axioms) are
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1.
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23858)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23858) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23859)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23859) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23860)  op(e1, e1) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23132), (23860), (function-axioms) are
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1955.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23861)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23861) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23862)  op(e0, e0) = e0
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23863)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23863) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23864)  all_56_12 = e1 & op(e0, e3) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23864) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23865)  all_56_12 = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (23768), (23865) are inconsistent by
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1674.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23866)  all_56_13 = e1 & op(e0, e2) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23775), (23866) are inconsistent by
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1205.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23867)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23867) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23868)  all_56_14 = e1 & op(e0, e1) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23868) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23869)  op(e0, e1) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (261), (23130), (23741), (23832),
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (23869), (function-axioms) are inconsistent by
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #648.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23870)  all_56_15 = e1 & op(e0, e0) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23736), (23862), (function-axioms) are
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1943.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23871)  all_54_8 = e0
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (22335), (23871) are inconsistent by
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1366.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23872)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (23735), (23764), (23797), (23872) are
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1335.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | |   (23873)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23873) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |   (23874)  all_56_4 = e1 & op(e3, e1) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23874) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |   (23875)  op(e3, e1) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (272), (22337), (23738), (23760),
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |            (23875), (function-axioms) are inconsistent by
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #694.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |   (23876)  all_56_9 = e1 & op(e3, e0) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23876) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |   (23877)  op(e3, e0) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (23733), (23877), (function-axioms) are
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1949.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | |   (23878)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (23131), (23736), (23878),
% 193.23/31.18  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.18  | | | | | | | | | | | | | | | | | | |            #410.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | |   (23879)  all_56_13 = e3 & op(e0, e2) = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | ALPHA: (23879) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | |   (23880)  op(e0, e2) = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18032), (23880), (function-axioms) are
% 193.23/31.18  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #783.
% 193.23/31.18  | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | |   (23881)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 193.23/31.18  | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 193.23/31.18  | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (23736), (23747), (23881),
% 193.23/31.18  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.18  | | | | | | | | | | | | | | | |            #104.
% 193.23/31.18  | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | |   (23882)  all_54_3 = e1 | all_54_3 = e0
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | REF_CLOSE: (270), (22339), (23733), (23882) are inconsistent
% 193.23/31.18  | | | | | | | | | | | | | | |            by sub-proof #1061.
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | |   (23883)  all_56_5 = e3 & op(e2, e1) = e3
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | ALPHA: (23883) implies:
% 193.23/31.18  | | | | | | | | | | | | |   (23884)  op(e2, e1) = e3
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | REF_CLOSE: (165), (18033), (23884), (function-axioms) are
% 193.23/31.18  | | | | | | | | | | | | |            inconsistent by sub-proof #1758.
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | |   (23885)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 193.23/31.18  | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 193.23/31.18  | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | REF_CLOSE: (9), (157), (23132), (23747), (23885),
% 193.23/31.18  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.18  | | | | | | | | | | | |            #55.
% 193.23/31.18  | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | |   (23886)   ~ (all_54_2 = e3)
% 193.23/31.18  | | | | | | | | | | |   (23887)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 193.23/31.18  | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | REDUCE: (271), (23886) imply:
% 193.23/31.18  | | | | | | | | | | |   (23888)   ~ (all_52_8 = e3)
% 193.23/31.18  | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | BETA: splitting (23887) gives:
% 193.23/31.18  | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | |   (23889)  all_54_2 = e2
% 193.23/31.18  | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | REF_CLOSE: (271), (23129), (23889) are inconsistent by
% 193.23/31.18  | | | | | | | | | | | |            sub-proof #1761.
% 193.23/31.18  | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | |   (23890)   ~ (all_54_2 = e2)
% 193.23/31.18  | | | | | | | | | | | |   (23891)  all_54_2 = e1 | all_54_2 = e0
% 193.23/31.18  | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | BETA: splitting (220) gives:
% 193.23/31.18  | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | |   (23892)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 193.23/31.18  | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | REF_CLOSE: (165), (169), (18033), (23888), (23892),
% 193.23/31.18  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.18  | | | | | | | | | | | | |            #1757.
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | |   (23893)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 193.23/31.18  | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | BETA: splitting (23893) gives:
% 193.23/31.18  | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | |   (23894)  all_56_8 = e3 & op(e1, e1) = e3
% 193.23/31.18  | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | ALPHA: (23894) implies:
% 193.23/31.18  | | | | | | | | | | | | | |   (23895)  op(e1, e1) = e3
% 193.23/31.18  | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | REF_CLOSE: (9), (23132), (23895), (function-axioms) are
% 193.23/31.18  | | | | | | | | | | | | | |            inconsistent by sub-proof #1777.
% 193.23/31.18  | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | |   (23896)  all_56_14 = e3 & op(e0, e1) = e3
% 193.23/31.18  | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | ALPHA: (23896) implies:
% 193.23/31.18  | | | | | | | | | | | | | |   (23897)  all_56_14 = e3
% 193.23/31.18  | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | BETA: splitting (23891) gives:
% 193.23/31.18  | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | |   (23898)  all_54_2 = e1
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | COMBINE_EQS: (271), (23898) imply:
% 193.23/31.18  | | | | | | | | | | | | | | |   (23899)  all_52_8 = e1
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | REDUCE: (134), (23899) imply:
% 193.23/31.18  | | | | | | | | | | | | | | |   (23900)   ~ (all_52_4 = e1)
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | REDUCE: (123), (23899) imply:
% 193.23/31.18  | | | | | | | | | | | | | | |   (23901)   ~ (all_52_9 = e1)
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | SIMP: (23901) implies:
% 193.23/31.18  | | | | | | | | | | | | | | |   (23902)   ~ (all_52_9 = e1)
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | REDUCE: (121), (23899) imply:
% 193.23/31.18  | | | | | | | | | | | | | | |   (23903)   ~ (all_52_11 = e1)
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | REDUCE: (23888), (23899) imply:
% 193.23/31.18  | | | | | | | | | | | | | | |   (23904)   ~ (e3 = e1)
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | |   (23905)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 193.23/31.18  | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 193.23/31.18  | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (18039), (23900), (23905),
% 193.23/31.18  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.18  | | | | | | | | | | | | | | | |            #146.
% 193.23/31.18  | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | |   (23906)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 193.23/31.18  | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 193.23/31.18  | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | BETA: splitting (23906) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | |   (23907)  all_56_7 = e1 & op(e1, e2) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | ALPHA: (23907) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | |   (23908)  op(e1, e2) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | BETA: splitting (23738) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | |   (23909)  all_54_1 = e2
% 193.23/31.18  | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (23909) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | |   (23910)  all_52_4 = e2
% 193.23/31.18  | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | REDUCE: (135), (23910) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | |   (23911)   ~ (all_52_7 = e2)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | SIMP: (23911) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | |   (23912)   ~ (all_52_7 = e2)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | |   (23913)  all_54_13 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (18032), (23913) are inconsistent by
% 193.23/31.18  | | | | | | | | | | | | | | | | | | |            sub-proof #1445.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | |   (23914)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | BETA: splitting (23914) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | |   (23915)  all_54_13 = e2
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (23915) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | |   (23916)  all_52_7 = e2
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | REDUCE: (23912), (23916) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | |   (23917)  $false
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | CLOSE: (23917) is inconsistent.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | |   (23918)   ~ (all_54_13 = e2)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | |   (23919)  all_54_13 = e1 | all_54_13 = e0
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | BETA: splitting (23919) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | |   (23920)  all_54_13 = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (23920) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | |   (23921)  all_52_7 = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | REDUCE: (23731), (23921) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | |   (23922)  $false
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | CLOSE: (23922) is inconsistent.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | |   (23923)  all_54_13 = e0
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (23923) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | |   (23924)  all_52_7 = e0
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (23924) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | |   (23925)   ~ (all_52_11 = e0)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | SIMP: (23925) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | |   (23926)   ~ (all_52_11 = e0)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | REDUCE: (23731), (23924) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | |   (23927)   ~ (e1 = e0)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (23924) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | |   (23928)  op(e0, e2) = e0
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | |   (23929)  all_54_14 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (23929) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | |   (23930)  all_52_11 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | SIMP: (23930) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | |   (23931)  all_52_11 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (23931) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | |   (23932)   ~ (all_52_3 = e3)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |   (23933)  all_54_12 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (23933) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |   (23934)  all_52_3 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23932), (23934) imply:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |   (23935)  $false
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23935) is inconsistent.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |   (23936)   ~ (all_54_12 = e3)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | |   (23937)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |   (23938)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23938) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (23939)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23939) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23940)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (148), (167), (249), (22336), (23730),
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (23736), (23928), (23937), (23940),
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            #21.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23941)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23941) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23942)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & $i(all_57_8)))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23942) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23943)  op(e3, e3) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22340), (23943), (function-axioms) are
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1937.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23944)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_2 & $i(all_57_2)))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23944) implies:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23945)  op(e1, e3) = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (162), (163), (23908), (23945),
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #185.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (23946)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23946) gives:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23947)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (22336), (23932), (23947),
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            #14.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23948)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (18039), (23902), (23948),
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            #53.
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |   (23949)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.18  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23949) gives:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (23950)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23950) gives:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23951)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23951) gives:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23952)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_13 & $i(all_57_13)))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23952) implies:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23953)  op(e0, e2) = e2
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (23912), (23953), (function-axioms) are
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #428.
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23954)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & $i(all_57_4)))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23954) implies:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23955)  op(e0, e0) = e2
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (23736), (23955), (function-axioms) are
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1780.
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23956)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_11 & $i(all_57_11)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23956) gives:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23957)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_11 & $i(all_57_11)))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23957) implies:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23958)  op(e0, e1) = e1
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (22338), (23891), (23958),
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #296.
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23959)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & $i(all_57_7)))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (23959) implies:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (23960)  op(e0, e1) = e0
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (23926), (23960), (function-axioms) are
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1931.
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (23961)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23961) gives:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23962)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (22340), (23736), (23928), (23962),
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            #282.
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (23963)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_8 & $i(all_57_8)))) |
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_13 & $i(all_57_13))))
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (165), (169), (219), (23129),
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (23130), (23736), (23897), (23963),
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            #443.
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | |   (23964)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (23131), (23732), (23926), (23964) are
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1736.
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.19  | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | |   (23965)  all_54_1 = e1 | all_54_1 = e0
% 193.23/31.19  | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (22337), (23900), (23965) are inconsistent
% 193.23/31.19  | | | | | | | | | | | | | | | | | |            by sub-proof #1898.
% 193.23/31.19  | | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | Case 2:
% 193.23/31.19  | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | |   (23966)  all_56_13 = e1 & op(e0, e2) = e1
% 193.23/31.19  | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | ALPHA: (23966) implies:
% 193.23/31.19  | | | | | | | | | | | | | | | | |   (23967)  op(e0, e2) = e1
% 193.23/31.19  | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (23731), (23967), (function-axioms) are
% 193.23/31.19  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1649.
% 193.23/31.19  | | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | Case 2:
% 193.23/31.19  | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | |   (23968)  all_54_2 = e0
% 193.23/31.19  | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | COMBINE_EQS: (271), (23968) imply:
% 193.23/31.19  | | | | | | | | | | | | | | |   (23969)  all_52_8 = e0
% 193.23/31.19  | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | REDUCE: (22338), (23969) imply:
% 193.23/31.19  | | | | | | | | | | | | | | |   (23970)  $false
% 193.23/31.19  | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | | CLOSE: (23970) is inconsistent.
% 193.23/31.19  | | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | | 
% 193.23/31.19  | | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | | 
% 193.23/31.19  | | | | | | | | End of split
% 193.23/31.19  | | | | | | | | 
% 193.23/31.19  | | | | | | | End of split
% 193.23/31.19  | | | | | | | 
% 193.23/31.19  | | | | | | End of split
% 193.23/31.19  | | | | | | 
% 193.23/31.19  | | | | | End of split
% 193.23/31.19  | | | | | 
% 193.23/31.19  | | | | End of split
% 193.23/31.19  | | | | 
% 193.23/31.19  | | | End of split
% 193.23/31.19  | | | 
% 193.23/31.19  | | Case 2:
% 193.23/31.19  | | | 
% 193.23/31.19  | | |   (23971)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2,
% 193.23/31.19  | | |                e0) = e3)
% 193.23/31.19  | | | 
% 193.23/31.19  | | | REF_CLOSE: (164), (165), (18033), (18034), (23971), (function-axioms) are
% 193.23/31.19  | | |            inconsistent by sub-proof #1455.
% 193.23/31.19  | | | 
% 193.23/31.19  | | End of split
% 193.23/31.19  | | 
% 193.23/31.19  | End of split
% 193.23/31.19  | 
% 193.23/31.19  End of proof
% 193.23/31.19  
% 193.23/31.19  Sub-proof #1 shows that the following formulas are inconsistent:
% 193.23/31.19  ----------------------------------------------------------------
% 193.23/31.19    (1)  all_56_1 = e1
% 193.23/31.19    (2)   ~ (e3 = e2)
% 193.23/31.19    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.19    (4)  op(e2, e2) = e3
% 193.23/31.19    (5)  all_56_4 = e3
% 193.23/31.19    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 193.23/31.19         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 193.23/31.19    (7)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.23/31.19             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.19           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.23/31.19               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.23/31.19             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.19         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.23/31.19             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.19           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.23/31.19               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.23/31.19             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.19    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 193.23/31.19         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 193.23/31.19    (9)   ~ (e1 = e0)
% 193.23/31.19    (10)   ~ (e2 = e1)
% 193.23/31.19    (11)   ~ (e2 = e0)
% 193.23/31.19    (12)   ~ (e3 = e0)
% 193.23/31.19  
% 193.23/31.19  Begin of proof
% 193.23/31.19  | 
% 193.23/31.19  | BETA: splitting (7) gives:
% 193.23/31.19  | 
% 193.23/31.19  | Case 1:
% 193.23/31.19  | | 
% 193.23/31.19  | |   (13)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.19  | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.23/31.19  | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.19  | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.23/31.19  | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.19  | |               e3) = all_57_2 & $i(all_57_2)))
% 193.23/31.19  | | 
% 193.23/31.19  | | ALPHA: (13) implies:
% 193.23/31.19  | |   (14)  op(e3, e3) = e3
% 193.23/31.19  | | 
% 193.23/31.19  | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10), (11), (12), (14) are
% 193.23/31.19  | |            inconsistent by sub-proof #977.
% 193.23/31.19  | | 
% 193.23/31.19  | Case 2:
% 193.23/31.19  | | 
% 193.23/31.19  | |   (15)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.19  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.23/31.19  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.19  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 193.23/31.19  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.19  | |               e2) = all_57_5 & $i(all_57_5)))
% 193.23/31.19  | | 
% 193.23/31.19  | | ALPHA: (15) implies:
% 193.23/31.19  | |   (16)  op(e2, e2) = e2
% 193.23/31.19  | | 
% 193.23/31.19  | | REF_CLOSE: (2), (3), (4), (16) are inconsistent by sub-proof #214.
% 193.23/31.19  | | 
% 193.23/31.19  | End of split
% 193.23/31.19  | 
% 193.23/31.19  End of proof
% 193.23/31.19  
% 193.23/31.19  Sub-proof #2 shows that the following formulas are inconsistent:
% 193.23/31.19  ----------------------------------------------------------------
% 193.23/31.19    (1)  ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 & op(e1, e2) = all_34_1
% 193.23/31.19           & $i(all_34_0) & $i(all_34_1)) | ( ~ (all_34_1 = e3) & op(e1, e2) =
% 193.23/31.19           all_34_1 & $i(all_34_1))
% 193.23/31.19    (2)  op(e1, e2) = e1
% 193.23/31.19    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.19    (4)  ( ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 & op(e1, e2) = all_10_1
% 193.23/31.19           & $i(all_10_0) & $i(all_10_1)) | ( ~ (all_10_1 = e0) & op(e1, e2) =
% 193.23/31.19           all_10_1 & $i(all_10_1))
% 193.23/31.19    (5)  op(e1, e2) = e0
% 193.23/31.19    (6)   ~ (e1 = e0)
% 193.23/31.19  
% 193.23/31.19  Begin of proof
% 193.23/31.19  | 
% 193.23/31.19  | BETA: splitting (4) gives:
% 193.23/31.19  | 
% 193.23/31.19  | Case 1:
% 193.23/31.19  | | 
% 193.23/31.19  | |   (7)   ~ (all_10_0 = e3) & op(all_10_1, e1) = all_10_0 & op(e1, e2) =
% 193.23/31.19  | |        all_10_1 & $i(all_10_0) & $i(all_10_1)
% 193.23/31.19  | | 
% 193.23/31.19  | | ALPHA: (7) implies:
% 193.23/31.19  | |   (8)  op(e1, e2) = all_10_1
% 193.23/31.19  | | 
% 193.23/31.19  | | BETA: splitting (1) gives:
% 193.23/31.19  | | 
% 193.23/31.19  | | Case 1:
% 193.23/31.19  | | | 
% 193.23/31.19  | | |   (9)   ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 & op(e1, e2) =
% 193.23/31.19  | | |        all_34_1 & $i(all_34_0) & $i(all_34_1)
% 193.23/31.19  | | | 
% 193.23/31.19  | | | ALPHA: (9) implies:
% 193.23/31.19  | | |   (10)  op(e1, e2) = all_34_1
% 193.23/31.19  | | | 
% 193.23/31.19  | | | REF_CLOSE: (2), (3), (5), (6), (8), (10) are inconsistent by sub-proof #3.
% 193.23/31.19  | | | 
% 193.23/31.19  | | Case 2:
% 193.23/31.19  | | | 
% 193.23/31.19  | | |   (11)   ~ (all_34_1 = e3) & op(e1, e2) = all_34_1 & $i(all_34_1)
% 193.23/31.19  | | | 
% 193.23/31.19  | | | ALPHA: (11) implies:
% 193.23/31.19  | | |   (12)  op(e1, e2) = all_34_1
% 193.23/31.19  | | | 
% 193.23/31.19  | | | REF_CLOSE: (2), (3), (5), (6), (8), (12) are inconsistent by sub-proof #3.
% 193.23/31.19  | | | 
% 193.23/31.19  | | End of split
% 193.23/31.19  | | 
% 193.23/31.19  | Case 2:
% 193.23/31.19  | | 
% 193.23/31.19  | |   (13)   ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 & $i(all_10_1)
% 193.23/31.19  | | 
% 193.23/31.19  | | REF_CLOSE: (3), (5), (13) are inconsistent by sub-proof #240.
% 193.23/31.19  | | 
% 193.23/31.19  | End of split
% 193.23/31.19  | 
% 193.23/31.19  End of proof
% 193.23/31.19  
% 193.23/31.19  Sub-proof #3 shows that the following formulas are inconsistent:
% 193.23/31.19  ----------------------------------------------------------------
% 193.23/31.19    (1)  op(e1, e2) = all_10_1
% 193.23/31.19    (2)  op(e1, e2) = e1
% 193.23/31.19    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.19    (4)  op(e1, e2) = e0
% 193.23/31.19    (5)   ~ (e1 = e0)
% 193.23/31.19    (6)  op(e1, e2) = all_34_1
% 193.23/31.19  
% 193.23/31.19  Begin of proof
% 193.23/31.19  | 
% 193.23/31.19  | GROUND_INST: instantiating (3) with e1, all_10_1, e2, e1, simplifying with
% 193.23/31.19  |              (1), (2) gives:
% 193.23/31.19  |   (7)  all_10_1 = e1
% 193.23/31.19  | 
% 193.23/31.19  | GROUND_INST: instantiating (3) with e0, all_34_1, e2, e1, simplifying with
% 193.23/31.19  |              (4), (6) gives:
% 193.23/31.19  |   (8)  all_34_1 = e0
% 193.23/31.19  | 
% 193.23/31.19  | GROUND_INST: instantiating (3) with all_10_1, all_34_1, e2, e1, simplifying
% 193.23/31.19  |              with (1), (6) gives:
% 193.23/31.19  |   (9)  all_34_1 = all_10_1
% 193.23/31.19  | 
% 193.23/31.19  | COMBINE_EQS: (8), (9) imply:
% 193.23/31.19  |   (10)  all_10_1 = e0
% 193.23/31.19  | 
% 193.23/31.19  | SIMP: (10) implies:
% 193.23/31.19  |   (11)  all_10_1 = e0
% 193.23/31.19  | 
% 193.23/31.19  | COMBINE_EQS: (7), (11) imply:
% 193.23/31.19  |   (12)  e1 = e0
% 193.23/31.19  | 
% 193.23/31.19  | SIMP: (12) implies:
% 193.23/31.19  |   (13)  e1 = e0
% 193.23/31.19  | 
% 193.23/31.19  | REDUCE: (5), (13) imply:
% 193.23/31.19  |   (14)  $false
% 193.23/31.19  | 
% 193.23/31.19  | CLOSE: (14) is inconsistent.
% 193.23/31.19  | 
% 193.23/31.19  End of proof
% 193.23/31.19  
% 193.23/31.19  Sub-proof #4 shows that the following formulas are inconsistent:
% 193.23/31.19  ----------------------------------------------------------------
% 193.23/31.19    (1)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 193.23/31.19    (2)   ~ (e3 = e2)
% 193.23/31.20    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.20    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.23/31.20         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.23/31.20    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.23/31.20         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.23/31.20    (6)   ~ (all_10_0 = e2)
% 193.23/31.20    (7)   ~ (all_52_9 = e2)
% 193.23/31.20    (8)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 193.23/31.20    (9)   ~ (all_52_8 = e2)
% 193.23/31.20    (10)  all_56_5 = e0
% 193.23/31.20    (11)   ~ (e1 = e0)
% 193.23/31.20    (12)   ~ (e2 = e1)
% 193.23/31.20    (13)   ~ (all_52_8 = all_10_0)
% 193.23/31.20    (14)  op(e2, e1) = all_52_9
% 193.23/31.20    (15)  op(e0, e0) = e0
% 193.23/31.20    (16)   ~ (all_10_0 = e0)
% 193.23/31.20    (17)  op(e3, e1) = all_52_8
% 193.23/31.20    (18)   ~ (e3 = e1)
% 193.23/31.20    (19)   ~ (e3 = e0)
% 193.23/31.20    (20)  all_54_14 = all_10_0
% 193.23/31.20  
% 193.23/31.20  Begin of proof
% 193.23/31.20  | 
% 193.23/31.20  | BETA: splitting (1) gives:
% 193.23/31.20  | 
% 193.23/31.20  | Case 1:
% 193.23/31.20  | | 
% 193.23/31.20  | |   (21)  all_56_14 = e3 & op(e0, e1) = e3
% 193.23/31.20  | | 
% 193.23/31.20  | | ALPHA: (21) implies:
% 193.23/31.20  | |   (22)  all_56_14 = e3
% 193.23/31.20  | | 
% 193.23/31.20  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 193.23/31.20  | |            (14), (16), (17), (18), (20), (22) are inconsistent by sub-proof
% 193.23/31.20  | |            #258.
% 193.23/31.20  | | 
% 193.23/31.20  | Case 2:
% 193.23/31.20  | | 
% 193.23/31.20  | |   (23)  all_56_15 = e3 & op(e0, e0) = e3
% 193.23/31.20  | | 
% 193.23/31.20  | | ALPHA: (23) implies:
% 193.23/31.20  | |   (24)  op(e0, e0) = e3
% 193.23/31.20  | | 
% 193.23/31.20  | | REF_CLOSE: (3), (15), (19), (24) are inconsistent by sub-proof #1947.
% 193.23/31.20  | | 
% 193.23/31.20  | End of split
% 193.23/31.20  | 
% 193.23/31.20  End of proof
% 193.23/31.20  
% 193.23/31.20  Sub-proof #5 shows that the following formulas are inconsistent:
% 193.23/31.20  ----------------------------------------------------------------
% 193.23/31.20    (1)  op(e1, e3) = all_52_2
% 193.23/31.20    (2)   ~ (e3 = e2)
% 193.23/31.20    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.20    (4)  all_56_12 = e3
% 193.23/31.20    (5)   ~ (all_52_2 = e2)
% 193.23/31.20    (6)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.23/31.20  
% 193.23/31.20  Begin of proof
% 193.23/31.20  | 
% 193.23/31.20  | BETA: splitting (6) gives:
% 193.23/31.20  | 
% 193.23/31.20  | Case 1:
% 193.23/31.20  | | 
% 193.23/31.20  | |   (7)  all_56_6 = e2 & op(e1, e3) = e2
% 193.23/31.20  | | 
% 193.23/31.20  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #796.
% 193.23/31.20  | | 
% 193.23/31.20  | Case 2:
% 193.23/31.20  | | 
% 193.23/31.20  | |   (8)  all_56_12 = e2 & op(e0, e3) = e2
% 193.23/31.20  | | 
% 193.23/31.20  | | ALPHA: (8) implies:
% 193.23/31.20  | |   (9)  all_56_12 = e2
% 193.23/31.20  | | 
% 193.23/31.20  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #1354.
% 193.23/31.20  | | 
% 193.23/31.20  | End of split
% 193.23/31.20  | 
% 193.23/31.20  End of proof
% 193.23/31.20  
% 193.23/31.20  Sub-proof #6 shows that the following formulas are inconsistent:
% 193.23/31.20  ----------------------------------------------------------------
% 193.23/31.20    (1)  op(e1, e3) = all_52_2
% 193.23/31.20    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.23/31.20         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.23/31.20    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.23/31.20         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.23/31.20    (4)   ~ (all_52_2 = e0)
% 193.23/31.20    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 193.23/31.20         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 193.23/31.20    (6)   ~ (e3 = e2)
% 193.23/31.20    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.20    (8)  op(e2, e2) = e3
% 193.23/31.20    (9)  all_56_12 = e3
% 193.23/31.20    (10)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3)
% 193.23/31.20              | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.20            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.23/31.20                = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 193.23/31.20              | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.23/31.20          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2)
% 193.23/31.20              | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.20            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.23/31.20                = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2)
% 193.23/31.20              | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.23/31.20    (11)   ~ (e1 = e0)
% 193.23/31.20    (12)   ~ (e2 = e1)
% 193.23/31.20    (13)   ~ (e3 = e1)
% 193.23/31.20    (14)   ~ (e2 = e0)
% 193.23/31.20    (15)   ~ (e3 = e0)
% 193.23/31.20  
% 193.23/31.20  Begin of proof
% 193.23/31.20  | 
% 193.23/31.20  | BETA: splitting (10) gives:
% 193.23/31.20  | 
% 193.23/31.20  | Case 1:
% 193.23/31.20  | | 
% 193.23/31.20  | |   (16)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 193.23/31.20  | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.23/31.20  | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.23/31.20  | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.23/31.20  | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.23/31.20  | |               e3) = all_57_2 & $i(all_57_2)))
% 193.23/31.20  | | 
% 193.23/31.20  | | ALPHA: (16) implies:
% 193.23/31.20  | |   (17)  op(e3, e3) = e3
% 193.23/31.20  | | 
% 193.23/31.20  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (14),
% 193.23/31.20  | |            (15), (17) are inconsistent by sub-proof #1332.
% 193.23/31.20  | | 
% 193.23/31.20  | Case 2:
% 193.23/31.20  | | 
% 193.23/31.20  | |   (18)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 193.23/31.20  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.23/31.20  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.23/31.20  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 193.23/31.20  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.23/31.20  | |               e2) = all_57_5 & $i(all_57_5)))
% 193.23/31.20  | | 
% 193.23/31.20  | | ALPHA: (18) implies:
% 193.23/31.20  | |   (19)  op(e2, e2) = e2
% 193.23/31.20  | | 
% 193.23/31.20  | | REF_CLOSE: (6), (7), (8), (19) are inconsistent by sub-proof #214.
% 193.23/31.20  | | 
% 193.23/31.20  | End of split
% 193.23/31.20  | 
% 193.23/31.20  End of proof
% 193.23/31.20  
% 193.23/31.20  Sub-proof #7 shows that the following formulas are inconsistent:
% 193.23/31.20  ----------------------------------------------------------------
% 193.23/31.20    (1)   ~ (all_52_4 = e3)
% 193.23/31.20    (2)  op(e3, e3) = e0
% 193.23/31.20    (3)   ~ (all_52_7 = e0)
% 193.23/31.20    (4)  op(e1, e3) = all_52_2
% 193.23/31.20    (5)   ~ (all_52_13 = e3)
% 193.23/31.20    (6)  op(e1, e2) = all_52_6
% 193.23/31.20    (7)  all_54_7 = all_52_13
% 193.23/31.20    (8)   ~ (all_52_14 = e0)
% 193.23/31.20    (9)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.23/31.20    (10)  all_54_3 = all_52_12
% 193.23/31.20    (11)  all_56_10 = e1
% 193.23/31.20    (12)  all_56_9 = e2
% 193.23/31.20    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.20            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.20    (14)  op(e3, e2) = all_52_4
% 193.23/31.20    (15)  op(e2, e2) = e3
% 193.23/31.20    (16)   ~ (all_52_12 = all_52_13)
% 193.23/31.20    (17)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.23/31.20          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.23/31.20    (18)  all_56_7 = e0
% 193.23/31.20    (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.23/31.20          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.23/31.20    (20)   ~ (all_52_4 = all_52_8)
% 193.23/31.20    (21)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 193.23/31.20          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 193.23/31.20            e1)
% 193.23/31.20    (22)  all_56_12 = e3
% 193.23/31.20    (23)   ~ (all_52_4 = e2)
% 193.23/31.20    (24)   ~ (all_10_0 = e2)
% 193.23/31.20    (25)   ~ (all_52_4 = e0)
% 193.23/31.20    (26)  op(e0, e3) = all_52_3
% 193.23/31.20    (27)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 193.23/31.20          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 193.23/31.20            e2)
% 193.23/31.20    (28)  op(e1, e0) = all_52_14
% 193.23/31.20    (29)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 193.23/31.20          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 193.23/31.20    (30)   ~ (all_52_4 = all_52_12)
% 193.23/31.20    (31)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.23/31.20              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.23/31.20            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.23/31.20            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.23/31.20            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.23/31.20            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.23/31.20            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 193.23/31.20            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.23/31.20            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 193.23/31.20            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.23/31.20            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.23/31.20            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 193.23/31.20            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.23/31.20            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.23/31.20            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.23/31.20            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.23/31.20            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.23/31.20            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 193.23/31.20            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.23/31.20            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.23/31.20            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 193.23/31.20            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.23/31.20            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.23/31.20            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 193.23/31.20            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.23/31.20            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.23/31.20            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.23/31.20            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.23/31.20            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.23/31.20            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 193.23/31.20            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.23/31.20            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.23/31.20            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.23/31.20            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.23/31.20            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.23/31.20            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.23/31.20            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.23/31.20            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.23/31.20            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.23/31.20            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.23/31.20            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.23/31.20            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 193.23/31.20            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.23/31.20            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.23/31.20            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 193.23/31.20            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.23/31.20            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.23/31.20            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.23/31.20              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 193.23/31.20            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.23/31.20            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.23/31.20              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.23/31.20            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.23/31.20            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 193.23/31.20                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.23/31.20                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.23/31.20                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.23/31.20                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.23/31.20                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.23/31.20                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.23/31.20                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.23/31.20              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.23/31.20                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.23/31.20                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.23/31.20                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.23/31.20                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.23/31.20                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.23/31.20                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.23/31.20                $i(all_57_7))))
% 193.23/31.20    (32)   ~ (all_52_9 = e2)
% 193.23/31.20    (33)   ~ (all_52_12 = e0)
% 193.23/31.20    (34)  op(e1, e3) = e1
% 193.23/31.20    (35)   ~ (all_52_7 = e1)
% 193.23/31.20    (36)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.23/31.20            all_57_11 & $i(all_57_11))
% 193.23/31.20    (37)  op(e0, e1) = all_52_11
% 193.23/31.20    (38)   ~ (all_52_12 = e3)
% 193.23/31.20    (39)  op(e3, e1) = e3
% 193.23/31.20    (40)   ~ (all_52_8 = all_52_12)
% 193.23/31.20    (41)   ~ (all_52_8 = e2)
% 193.23/31.20    (42)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 193.23/31.20    (43)  op(e1, e1) = e2
% 193.23/31.20    (44)  all_56_5 = e0
% 193.23/31.20    (45)  op(e2, e3) = e2
% 193.23/31.20    (46)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 193.23/31.20          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 193.23/31.20    (47)   ~ (all_10_0 = e3)
% 193.23/31.20    (48)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 193.23/31.20    (49)   ~ (all_52_13 = all_52_14)
% 193.23/31.20    (50)   ~ (all_52_2 = all_52_6)
% 193.23/31.20    (51)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 193.23/31.20              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 193.23/31.20                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 193.23/31.20                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 193.23/31.20    (52)   ~ (all_52_11 = e0)
% 193.23/31.20    (53)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 193.23/31.20    (54)   ~ (all_52_3 = e0)
% 193.23/31.20    (55)   ~ (all_52_8 = all_10_0)
% 193.23/31.20    (56)  op(e3, e0) = all_52_12
% 193.23/31.20    (57)  op(e2, e1) = all_52_9
% 193.23/31.20    (58)  op(e0, e3) = e3
% 193.23/31.20    (59)  op(e0, e0) = e0
% 193.23/31.20    (60)   ~ (all_52_13 = e0)
% 193.23/31.20    (61)   ~ (all_10_0 = e0)
% 193.23/31.20    (62)  op(e3, e1) = all_52_8
% 193.23/31.20    (63)  all_54_1 = all_52_4
% 193.23/31.20    (64)  op(e0, e2) = all_52_7
% 193.23/31.20    (65)   ~ (e3 = e0)
% 193.23/31.20    (66)  all_54_14 = all_10_0
% 193.23/31.20  
% 193.23/31.20  Begin of proof
% 193.23/31.20  | 
% 193.23/31.20  | BETA: splitting (53) gives:
% 193.23/31.20  | 
% 193.23/31.20  | Case 1:
% 193.23/31.20  | | 
% 193.23/31.20  | |   (67)  all_54_1 = e3
% 193.23/31.20  | | 
% 193.23/31.20  | | COMBINE_EQS: (63), (67) imply:
% 193.23/31.20  | |   (68)  all_52_4 = e3
% 193.23/31.20  | | 
% 193.23/31.20  | | REDUCE: (1), (68) imply:
% 193.23/31.20  | |   (69)  $false
% 193.23/31.20  | | 
% 193.23/31.20  | | CLOSE: (69) is inconsistent.
% 193.23/31.20  | | 
% 193.23/31.20  | Case 2:
% 193.23/31.20  | | 
% 193.23/31.20  | |   (70)   ~ (all_54_1 = e3)
% 193.23/31.20  | |   (71)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 193.23/31.20  | | 
% 193.23/31.20  | | BETA: splitting (71) gives:
% 193.23/31.20  | | 
% 193.23/31.20  | | Case 1:
% 193.23/31.21  | | | 
% 193.23/31.21  | | |   (72)  all_54_1 = e2
% 193.23/31.21  | | | 
% 193.23/31.21  | | | COMBINE_EQS: (63), (72) imply:
% 193.23/31.21  | | |   (73)  all_52_4 = e2
% 193.23/31.21  | | | 
% 193.23/31.21  | | | REDUCE: (23), (73) imply:
% 193.23/31.21  | | |   (74)  $false
% 193.23/31.21  | | | 
% 193.23/31.21  | | | CLOSE: (74) is inconsistent.
% 193.23/31.21  | | | 
% 193.23/31.21  | | Case 2:
% 193.23/31.21  | | | 
% 193.23/31.21  | | |   (75)  all_54_1 = e1 | all_54_1 = e0
% 193.23/31.21  | | | 
% 193.23/31.21  | | | BETA: splitting (75) gives:
% 193.23/31.21  | | | 
% 193.23/31.21  | | | Case 1:
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | |   (76)  all_54_1 = e1
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | | COMBINE_EQS: (63), (76) imply:
% 193.23/31.21  | | | |   (77)  all_52_4 = e1
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | | REDUCE: (30), (77) imply:
% 193.23/31.21  | | | |   (78)   ~ (all_52_12 = e1)
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | | SIMP: (78) implies:
% 193.23/31.21  | | | |   (79)   ~ (all_52_12 = e1)
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | | BETA: splitting (9) gives:
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | | Case 1:
% 193.23/31.21  | | | | | 
% 193.23/31.21  | | | | |   (80)  all_54_3 = e3
% 193.23/31.21  | | | | | 
% 193.23/31.21  | | | | | COMBINE_EQS: (10), (80) imply:
% 193.23/31.21  | | | | |   (81)  all_52_12 = e3
% 193.23/31.21  | | | | | 
% 193.23/31.21  | | | | | REDUCE: (38), (81) imply:
% 193.23/31.21  | | | | |   (82)  $false
% 193.23/31.21  | | | | | 
% 193.23/31.21  | | | | | CLOSE: (82) is inconsistent.
% 193.23/31.21  | | | | | 
% 193.23/31.21  | | | | Case 2:
% 193.23/31.21  | | | | | 
% 193.23/31.21  | | | | |   (83)   ~ (all_54_3 = e3)
% 193.23/31.21  | | | | |   (84)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.23/31.21  | | | | | 
% 193.23/31.21  | | | | | BETA: splitting (84) gives:
% 193.23/31.21  | | | | | 
% 193.23/31.21  | | | | | Case 1:
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | |   (85)  all_54_3 = e2
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | | COMBINE_EQS: (10), (85) imply:
% 193.23/31.21  | | | | | |   (86)  all_52_12 = e2
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | | REDUCE: (16), (86) imply:
% 193.23/31.21  | | | | | |   (87)   ~ (all_52_13 = e2)
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | | SIMP: (87) implies:
% 193.23/31.21  | | | | | |   (88)   ~ (all_52_13 = e2)
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | | REDUCE: (38), (86) imply:
% 193.23/31.21  | | | | | |   (89)   ~ (e3 = e2)
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | | SIMP: (89) implies:
% 193.23/31.21  | | | | | |   (90)   ~ (e3 = e2)
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | | REDUCE: (33), (86) imply:
% 193.23/31.21  | | | | | |   (91)   ~ (e2 = e0)
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | | BETA: splitting (42) gives:
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | | Case 1:
% 193.23/31.21  | | | | | | | 
% 193.23/31.21  | | | | | | |   (92)  all_54_7 = e3
% 193.23/31.21  | | | | | | | 
% 193.23/31.21  | | | | | | | COMBINE_EQS: (7), (92) imply:
% 193.23/31.21  | | | | | | |   (93)  all_52_13 = e3
% 193.23/31.21  | | | | | | | 
% 193.23/31.21  | | | | | | | REDUCE: (5), (93) imply:
% 193.23/31.21  | | | | | | |   (94)  $false
% 193.23/31.21  | | | | | | | 
% 193.23/31.21  | | | | | | | CLOSE: (94) is inconsistent.
% 193.23/31.21  | | | | | | | 
% 193.23/31.21  | | | | | | Case 2:
% 193.23/31.21  | | | | | | | 
% 193.23/31.21  | | | | | | |   (95)   ~ (all_54_7 = e3)
% 193.23/31.21  | | | | | | |   (96)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 193.23/31.21  | | | | | | | 
% 193.23/31.21  | | | | | | | BETA: splitting (96) gives:
% 193.23/31.21  | | | | | | | 
% 193.23/31.21  | | | | | | | Case 1:
% 193.23/31.21  | | | | | | | | 
% 193.23/31.21  | | | | | | | |   (97)  all_54_7 = e2
% 193.23/31.21  | | | | | | | | 
% 193.23/31.21  | | | | | | | | COMBINE_EQS: (7), (97) imply:
% 193.23/31.21  | | | | | | | |   (98)  all_52_13 = e2
% 193.23/31.21  | | | | | | | | 
% 193.23/31.21  | | | | | | | | REDUCE: (88), (98) imply:
% 193.23/31.21  | | | | | | | |   (99)  $false
% 193.23/31.21  | | | | | | | | 
% 193.23/31.21  | | | | | | | | CLOSE: (99) is inconsistent.
% 193.23/31.21  | | | | | | | | 
% 193.23/31.21  | | | | | | | Case 2:
% 193.23/31.21  | | | | | | | | 
% 193.23/31.21  | | | | | | | |   (100)   ~ (all_54_7 = e2)
% 193.23/31.21  | | | | | | | |   (101)  all_54_7 = e1 | all_54_7 = e0
% 193.23/31.21  | | | | | | | | 
% 193.23/31.21  | | | | | | | | BETA: splitting (101) gives:
% 193.23/31.21  | | | | | | | | 
% 193.23/31.21  | | | | | | | | Case 1:
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | |   (102)  all_54_7 = e1
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | COMBINE_EQS: (7), (102) imply:
% 193.23/31.21  | | | | | | | | |   (103)  all_52_13 = e1
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | REDUCE: (49), (103) imply:
% 193.23/31.21  | | | | | | | | |   (104)   ~ (all_52_14 = e1)
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | SIMP: (104) implies:
% 193.23/31.21  | | | | | | | | |   (105)   ~ (all_52_14 = e1)
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | REDUCE: (5), (103) imply:
% 193.23/31.21  | | | | | | | | |   (106)   ~ (e3 = e1)
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | SIMP: (106) implies:
% 193.23/31.21  | | | | | | | | |   (107)   ~ (e3 = e1)
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | REDUCE: (88), (103) imply:
% 193.23/31.21  | | | | | | | | |   (108)   ~ (e2 = e1)
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | SIMP: (108) implies:
% 193.23/31.21  | | | | | | | | |   (109)   ~ (e2 = e1)
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | REDUCE: (60), (103) imply:
% 193.23/31.21  | | | | | | | | |   (110)   ~ (e1 = e0)
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | BETA: splitting (36) gives:
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | Case 1:
% 193.23/31.21  | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | |   (111)  all_57_12 = e0 & op(e2, e2) = e0
% 193.23/31.21  | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | ALPHA: (111) implies:
% 193.23/31.21  | | | | | | | | | |   (112)  op(e2, e2) = e0
% 193.23/31.21  | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | REF_CLOSE: (13), (15), (65), (112) are inconsistent by
% 193.23/31.21  | | | | | | | | | |            sub-proof #202.
% 193.23/31.21  | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | Case 2:
% 193.23/31.21  | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | |   (113)   ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.23/31.21  | | | | | | | | | |          $i(all_57_11)
% 193.23/31.21  | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | ALPHA: (113) implies:
% 193.23/31.21  | | | | | | | | | |   (114)   ~ (all_57_11 = e2)
% 193.23/31.21  | | | | | | | | | |   (115)  op(e2, e0) = all_57_11
% 193.23/31.21  | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | BETA: splitting (31) gives:
% 193.23/31.21  | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | Case 1:
% 193.23/31.21  | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | |   (116)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.23/31.21  | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.23/31.21  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.23/31.21  | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.23/31.21  | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.23/31.21  | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.23/31.21  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.23/31.21  | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.23/31.21  | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.23/31.21  | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.23/31.21  | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.23/31.21  | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.23/31.21  | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.23/31.21  | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.23/31.21  | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.23/31.21  | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.23/31.21  | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.23/31.21  | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.23/31.21  | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.23/31.21  | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.23/31.21  | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.23/31.21  | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.23/31.21  | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.23/31.21  | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.23/31.21  | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.23/31.21  | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.23/31.21  | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.23/31.21  | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.23/31.21  | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 193.23/31.21  | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.23/31.21  | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.23/31.21  | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.23/31.21  | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.23/31.21  | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.23/31.21  | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.23/31.21  | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.23/31.21  | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.23/31.21  | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.23/31.21  | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | BETA: splitting (116) gives:
% 193.23/31.21  | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | Case 1:
% 193.23/31.21  | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | |   (117)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.23/31.21  | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.23/31.21  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.23/31.21  | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.23/31.21  | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.23/31.21  | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.23/31.21  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.23/31.21  | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.23/31.21  | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.23/31.21  | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.23/31.21  | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.23/31.21  | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.23/31.21  | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.23/31.21  | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.23/31.21  | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.23/31.21  | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.23/31.21  | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 193.23/31.21  | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | BETA: splitting (117) gives:
% 193.23/31.21  | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | Case 1:
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | |   (118)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.23/31.21  | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.23/31.21  | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.23/31.21  | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.23/31.21  | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.23/31.21  | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.23/31.21  | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.23/31.21  | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | REF_CLOSE: (13), (15), (34), (118) are inconsistent by
% 193.23/31.21  | | | | | | | | | | | | |            sub-proof #9.
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | Case 2:
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | |   (119)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.23/31.21  | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.23/31.21  | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.23/31.21  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.23/31.21  | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.23/31.21  | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.23/31.21  | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.23/31.21  | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.23/31.21  | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | BETA: splitting (119) gives:
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | Case 1:
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | |   (120)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.23/31.21  | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.23/31.21  | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.23/31.21  | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.23/31.21  | | | | | | | | | | | | | |          $i(all_57_14)
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | ALPHA: (120) implies:
% 193.23/31.21  | | | | | | | | | | | | | |   (121)   ~ (all_57_0 = e2)
% 193.23/31.21  | | | | | | | | | | | | | |   (122)  op(e2, e3) = all_57_0
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | REF_CLOSE: (13), (45), (121), (122) are inconsistent by
% 193.23/31.21  | | | | | | | | | | | | | |            sub-proof #66.
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | Case 2:
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | |   (123)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.23/31.21  | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.23/31.21  | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 193.23/31.21  | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | ALPHA: (123) implies:
% 193.23/31.21  | | | | | | | | | | | | | |   (124)  op(e0, e0) = e3
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (13), (28), (51), (65), (91),
% 193.23/31.21  | | | | | | | | | | | | | |            (110), (124) are inconsistent by sub-proof #486.
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | End of split
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | End of split
% 193.23/31.21  | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | Case 2:
% 193.23/31.21  | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | |   (125)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.23/31.21  | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.23/31.21  | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.23/31.21  | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.23/31.21  | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.23/31.21  | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.23/31.21  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.23/31.21  | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.23/31.21  | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.23/31.21  | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.23/31.21  | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.23/31.21  | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.23/31.21  | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.23/31.21  | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.23/31.21  | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.23/31.21  | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.23/31.21  | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.23/31.21  | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.23/31.21  | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.23/31.21  | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.23/31.21  | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.23/31.21  | | | | | | | | | | | |            $i(all_57_10))
% 193.23/31.21  | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | BETA: splitting (125) gives:
% 193.23/31.21  | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | Case 1:
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | |   (126)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.23/31.21  | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.23/31.21  | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.23/31.21  | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.23/31.21  | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.23/31.21  | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.23/31.21  | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.23/31.21  | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.23/31.21  | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | REF_CLOSE: (1), (13), (14), (126) are inconsistent by
% 193.23/31.21  | | | | | | | | | | | | |            sub-proof #1971.
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | Case 2:
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | |   (127)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.23/31.21  | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.23/31.21  | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.23/31.21  | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 193.23/31.21  | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 193.23/31.21  | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 193.23/31.21  | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.23/31.21  | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.23/31.21  | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.23/31.21  | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.23/31.21  | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.23/31.21  | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.23/31.21  | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | BETA: splitting (127) gives:
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | Case 1:
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | |   (128)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.23/31.21  | | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.23/31.21  | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.23/31.21  | | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | ALPHA: (128) implies:
% 193.23/31.21  | | | | | | | | | | | | | |   (129)  op(e1, e2) = e1
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13), (34), (50), (129) are inconsistent
% 193.23/31.21  | | | | | | | | | | | | | |            by sub-proof #185.
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | Case 2:
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | |   (130)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.23/31.21  | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.23/31.21  | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.23/31.21  | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.23/31.21  | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.23/31.21  | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.23/31.21  | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.23/31.21  | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.23/31.21  | | | | | | | | | | | | | |            $i(all_57_10))
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | Case 1:
% 193.23/31.21  | | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | |   (131)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.23/31.21  | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.23/31.21  | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.23/31.21  | | | | | | | | | | | | | | |          op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 193.23/31.21  | | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | | ALPHA: (131) implies:
% 193.23/31.21  | | | | | | | | | | | | | | |   (132)  op(e1, e2) = e1
% 193.23/31.21  | | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13), (34), (50), (132) are inconsistent
% 193.23/31.21  | | | | | | | | | | | | | | |            by sub-proof #185.
% 193.23/31.21  | | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | Case 2:
% 193.23/31.21  | | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | |   (133)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.23/31.21  | | | | | | | | | | | | | | |            e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.23/31.21  | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.23/31.21  | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.23/31.21  | | | | | | | | | | | | | | |          $i(all_57_10)
% 193.23/31.21  | | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 193.23/31.21  | | | | | | | | | | | | | | |   (134)  op(e2, e2) = e1
% 193.23/31.21  | | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (17), (18), (19), (20), (21), (22),
% 193.23/31.21  | | | | | | | | | | | | | | |            (24), (27), (29), (32), (35), (41), (43), (44),
% 193.23/31.21  | | | | | | | | | | | | | | |            (46), (47), (48), (55), (57), (58), (59), (61),
% 193.23/31.21  | | | | | | | | | | | | | | |            (62), (64), (65), (66), (90), (91), (107), (109),
% 193.23/31.21  | | | | | | | | | | | | | | |            (110), (134) are inconsistent by sub-proof #245.
% 193.23/31.21  | | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | | End of split
% 193.23/31.21  | | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | | End of split
% 193.23/31.21  | | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | | End of split
% 193.23/31.21  | | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | End of split
% 193.23/31.21  | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | Case 2:
% 193.23/31.21  | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | |   (135)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.23/31.21  | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.23/31.21  | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.23/31.21  | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.23/31.21  | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.23/31.21  | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.23/31.21  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.23/31.21  | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 193.23/31.21  | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.23/31.21  | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.23/31.21  | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.23/31.21  | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.23/31.21  | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.23/31.21  | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.23/31.21  | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.23/31.21  | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.23/31.21  | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.23/31.21  | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.23/31.21  | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.23/31.21  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.23/31.21  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.23/31.21  | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.23/31.21  | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.23/31.21  | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.23/31.21  | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.23/31.21  | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.23/31.21  | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.23/31.21  | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.23/31.21  | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.23/31.21  | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.23/31.21  | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.23/31.21  | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.23/31.21  | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.23/31.21  | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.23/31.21  | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.23/31.21  | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.23/31.21  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.23/31.21  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.23/31.21  | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.23/31.21  | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.23/31.21  | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.23/31.21  | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.23/31.21  | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.23/31.21  | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.23/31.21  | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.23/31.21  | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.23/31.21  | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.23/31.21  | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.23/31.21  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.23/31.21  | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.23/31.21  | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.23/31.21  | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.23/31.21  | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.23/31.21  | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.23/31.21  | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.23/31.21  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.23/31.21  | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.23/31.21  | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.23/31.21  | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.23/31.21  | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.23/31.21  | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.23/31.21  | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | | REF_CLOSE: (2), (3), (13), (15), (26), (28), (37), (39),
% 193.23/31.21  | | | | | | | | | | |            (40), (52), (54), (56), (59), (62), (64), (105),
% 193.23/31.21  | | | | | | | | | | |            (107), (110), (114), (115), (135) are inconsistent
% 193.23/31.21  | | | | | | | | | | |            by sub-proof #8.
% 193.23/31.21  | | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | | End of split
% 193.23/31.21  | | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | End of split
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | Case 2:
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | |   (136)  all_54_7 = e0
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | COMBINE_EQS: (7), (136) imply:
% 193.23/31.21  | | | | | | | | |   (137)  all_52_13 = e0
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | REDUCE: (60), (137) imply:
% 193.23/31.21  | | | | | | | | |   (138)  $false
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | | CLOSE: (138) is inconsistent.
% 193.23/31.21  | | | | | | | | | 
% 193.23/31.21  | | | | | | | | End of split
% 193.23/31.21  | | | | | | | | 
% 193.23/31.21  | | | | | | | End of split
% 193.23/31.21  | | | | | | | 
% 193.23/31.21  | | | | | | End of split
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | Case 2:
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | |   (139)  all_54_3 = e1 | all_54_3 = e0
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | | REF_CLOSE: (10), (33), (79), (139) are inconsistent by sub-proof
% 193.23/31.21  | | | | | |            #1061.
% 193.23/31.21  | | | | | | 
% 193.23/31.21  | | | | | End of split
% 193.23/31.21  | | | | | 
% 193.23/31.21  | | | | End of split
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | Case 2:
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | |   (140)  all_54_1 = e0
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | | COMBINE_EQS: (63), (140) imply:
% 193.23/31.21  | | | |   (141)  all_52_4 = e0
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | | REDUCE: (25), (141) imply:
% 193.23/31.21  | | | |   (142)  $false
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | | CLOSE: (142) is inconsistent.
% 193.23/31.21  | | | | 
% 193.23/31.21  | | | End of split
% 193.23/31.21  | | | 
% 193.23/31.21  | | End of split
% 193.23/31.21  | | 
% 193.23/31.21  | End of split
% 193.23/31.21  | 
% 193.23/31.21  End of proof
% 193.23/31.21  
% 193.23/31.21  Sub-proof #8 shows that the following formulas are inconsistent:
% 193.23/31.21  ----------------------------------------------------------------
% 193.23/31.21    (1)  op(e3, e3) = e0
% 193.23/31.21    (2)   ~ (all_52_7 = e0)
% 193.23/31.21    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.21    (4)  op(e2, e2) = e3
% 193.23/31.22    (5)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 193.23/31.22             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.23/31.22           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 193.23/31.22           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.23/31.22           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 193.23/31.22           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.23/31.22           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 193.23/31.22           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 193.23/31.22           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 193.23/31.22           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 193.23/31.22           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.23/31.22           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 193.23/31.22           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 193.23/31.22           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.23/31.22           $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~
% 193.23/31.22           (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.23/31.22           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.23/31.22           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 193.23/31.22           &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.23/31.22           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.23/31.22           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0)
% 193.23/31.22           &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.23/31.22           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.23/31.22           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 193.23/31.22           &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.23/31.22           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.23/31.22           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 193.23/31.22               e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.23/31.22               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.23/31.22               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.23/31.22                 e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.23/31.22               e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.23/31.22               e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.23/31.22               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 193.23/31.22               = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 193.23/31.22               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.23/31.22               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.23/31.22                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.23/31.22               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.23/31.22               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 193.23/31.22                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.23/31.22               $i(all_57_7))))
% 193.23/31.22    (6)  op(e0, e3) = all_52_3
% 193.23/31.22    (7)  op(e1, e0) = all_52_14
% 193.23/31.22    (8)  op(e0, e1) = all_52_11
% 193.23/31.22    (9)  op(e3, e1) = e3
% 193.23/31.22    (10)   ~ (all_52_14 = e1)
% 193.23/31.22    (11)   ~ (all_52_8 = all_52_12)
% 193.23/31.22    (12)   ~ (e1 = e0)
% 193.23/31.22    (13)  op(e2, e0) = all_57_11
% 193.23/31.22    (14)   ~ (all_52_11 = e0)
% 193.23/31.22    (15)   ~ (all_52_3 = e0)
% 193.23/31.22    (16)  op(e3, e0) = all_52_12
% 193.23/31.22    (17)  op(e0, e0) = e0
% 193.23/31.22    (18)   ~ (all_57_11 = e2)
% 193.23/31.22    (19)  op(e3, e1) = all_52_8
% 193.23/31.22    (20)   ~ (e3 = e1)
% 193.23/31.22    (21)  op(e0, e2) = all_52_7
% 193.23/31.22  
% 193.23/31.22  Begin of proof
% 193.23/31.22  | 
% 193.23/31.22  | BETA: splitting (5) gives:
% 193.23/31.22  | 
% 193.23/31.22  | Case 1:
% 193.23/31.22  | | 
% 193.23/31.22  | |   (22)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 193.23/31.22  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.23/31.22  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 193.23/31.22  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 193.23/31.22  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 193.23/31.22  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 193.23/31.22  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 193.23/31.22  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.23/31.22  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.23/31.22  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.23/31.22  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.23/31.22  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.23/31.22  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 193.23/31.22  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 193.23/31.22  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.23/31.22  | |           $i(all_57_13))
% 193.23/31.22  | | 
% 193.23/31.22  | | BETA: splitting (22) gives:
% 193.23/31.22  | | 
% 193.23/31.22  | | Case 1:
% 193.23/31.22  | | | 
% 193.23/31.22  | | |   (23)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.23/31.22  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.23/31.22  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.23/31.22  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 193.23/31.22  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.23/31.22  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.23/31.22  | | |           $i(all_57_6) & $i(all_57_12))
% 193.23/31.22  | | | 
% 193.23/31.22  | | | REF_CLOSE: (1), (3), (12), (17), (23) are inconsistent by sub-proof #370.
% 193.23/31.22  | | | 
% 193.23/31.22  | | Case 2:
% 193.23/31.22  | | | 
% 193.23/31.22  | | |   (24)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.23/31.22  | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.23/31.22  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.23/31.22  | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10
% 193.23/31.22  | | |             = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 193.23/31.22  | | |             e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.23/31.22  | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.23/31.22  | | |           &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 193.23/31.22  | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 193.23/31.22  | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.23/31.22  | | | 
% 193.23/31.22  | | | REF_CLOSE: (3), (9), (11), (12), (16), (17), (19), (24) are inconsistent
% 193.23/31.22  | | |            by sub-proof #520.
% 193.23/31.22  | | | 
% 193.23/31.22  | | End of split
% 193.23/31.22  | | 
% 193.23/31.22  | Case 2:
% 193.23/31.22  | | 
% 193.23/31.22  | |   (25)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.23/31.22  | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.23/31.22  | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.23/31.22  | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.23/31.22  | |             e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.23/31.22  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 193.23/31.22  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 193.23/31.22  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 193.23/31.22  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.23/31.22  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 193.23/31.22  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.23/31.22  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 193.23/31.22  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.23/31.22  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.23/31.22  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 193.23/31.22  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 193.23/31.22  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.23/31.22  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.23/31.22  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.23/31.22  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.23/31.22  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 193.23/31.22  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 193.23/31.22  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.23/31.22  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.23/31.22  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.23/31.22  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.23/31.22  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.23/31.22  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.23/31.22  | |               $i(all_57_7))))
% 193.23/31.22  | | 
% 193.23/31.22  | | BETA: splitting (25) gives:
% 193.23/31.22  | | 
% 193.23/31.22  | | Case 1:
% 193.23/31.22  | | | 
% 193.23/31.22  | | |   (26)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.23/31.22  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.23/31.22  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.23/31.22  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.23/31.22  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.23/31.22  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.23/31.22  | | |           $i(all_57_9) & $i(all_57_14))
% 193.23/31.22  | | | 
% 193.23/31.22  | | | BETA: splitting (26) gives:
% 193.23/31.22  | | | 
% 193.23/31.22  | | | Case 1:
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | |   (27)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.23/31.22  | | | |         (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.23/31.22  | | | |         op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.23/31.22  | | | |         $i(all_57_12)
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | | ALPHA: (27) implies:
% 193.23/31.22  | | | |   (28)  op(e2, e0) = e2
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | | REF_CLOSE: (3), (13), (18), (28) are inconsistent by sub-proof #433.
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | Case 2:
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | |   (29)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 193.23/31.22  | | | |         (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.23/31.22  | | | |         op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.23/31.22  | | | |         $i(all_57_14)
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | | ALPHA: (29) implies:
% 193.23/31.22  | | | |   (30)  op(e1, e0) = e1
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | | REF_CLOSE: (3), (7), (10), (30) are inconsistent by sub-proof #1958.
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | End of split
% 193.23/31.22  | | | 
% 193.23/31.22  | | Case 2:
% 193.23/31.22  | | | 
% 193.23/31.22  | | |   (31)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 193.23/31.22  | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.23/31.22  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.23/31.22  | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 193.23/31.22  | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.23/31.22  | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 193.23/31.22  | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.23/31.22  | | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.23/31.22  | | |                 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.23/31.22  | | |               op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 193.23/31.22  | | |             (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.23/31.22  | | |               (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.23/31.22  | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.23/31.22  | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3)
% 193.23/31.22  | | |               = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.23/31.22  | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 193.23/31.22  | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.23/31.22  | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4))
% 193.23/31.22  | | |             | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.23/31.22  | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.23/31.22  | | |               op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.23/31.22  | | |               = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2)
% 193.23/31.22  | | |               = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.23/31.22  | | |               $i(all_57_7))))
% 193.23/31.22  | | | 
% 193.23/31.22  | | | BETA: splitting (31) gives:
% 193.23/31.22  | | | 
% 193.23/31.22  | | | Case 1:
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | |   (32)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 193.23/31.22  | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.23/31.22  | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.23/31.22  | | | |         $i(all_57_13)
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | | ALPHA: (32) implies:
% 193.23/31.22  | | | |   (33)  op(e2, e0) = e2
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | | REF_CLOSE: (3), (13), (18), (33) are inconsistent by sub-proof #433.
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | Case 2:
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | |   (34)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.23/31.22  | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.23/31.22  | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.23/31.22  | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.23/31.22  | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.23/31.22  | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 193.23/31.22  | | | |               & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 193.23/31.22  | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.23/31.22  | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 193.23/31.22  | | | |               e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.23/31.22  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.23/31.22  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.23/31.22  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.23/31.22  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 193.23/31.22  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.23/31.22  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 193.23/31.22  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 193.23/31.22  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.23/31.22  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 193.23/31.22  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | | BETA: splitting (34) gives:
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | | Case 1:
% 193.23/31.22  | | | | | 
% 193.23/31.22  | | | | |   (35)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.23/31.22  | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.23/31.22  | | | | |         op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.23/31.22  | | | | |         $i(all_57_14)
% 193.23/31.22  | | | | | 
% 193.23/31.22  | | | | | ALPHA: (35) implies:
% 193.23/31.22  | | | | |   (36)  op(e1, e0) = e1
% 193.23/31.22  | | | | | 
% 193.23/31.22  | | | | | REF_CLOSE: (3), (7), (10), (36) are inconsistent by sub-proof #1958.
% 193.23/31.22  | | | | | 
% 193.23/31.22  | | | | Case 2:
% 193.23/31.22  | | | | | 
% 193.23/31.22  | | | | |   (37)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.23/31.22  | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3)
% 193.23/31.22  | | | | |             & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 193.23/31.22  | | | | |             e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.23/31.22  | | | | |             (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.23/31.22  | | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.23/31.22  | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.23/31.22  | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.23/31.22  | | | | |             op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.23/31.22  | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.23/31.22  | | | | |             (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 193.23/31.22  | | | | |             & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.23/31.22  | | | | |             all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 193.23/31.22  | | | | |             & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 193.23/31.22  | | | | |             e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.23/31.22  | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 193.23/31.22  | | | | |             op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7)))
% 193.23/31.22  | | | | | 
% 193.23/31.22  | | | | | ALPHA: (37) implies:
% 193.23/31.22  | | | | |   (38)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.23/31.22  | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.23/31.22  | | | | |           op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.23/31.22  | | | | |           = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3)
% 193.23/31.22  | | | | |           = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.23/31.22  | | | | |           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.23/31.22  | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.23/31.22  | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.23/31.22  | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.23/31.22  | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.23/31.22  | | | | |           op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.23/31.22  | | | | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 193.23/31.22  | | | | |           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.23/31.22  | | | | |           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.23/31.22  | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 193.23/31.22  | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.23/31.22  | | | | | 
% 193.23/31.22  | | | | | REF_CLOSE: (2), (3), (4), (6), (8), (14), (15), (20), (21), (38) are
% 193.23/31.22  | | | | |            inconsistent by sub-proof #60.
% 193.23/31.22  | | | | | 
% 193.23/31.22  | | | | End of split
% 193.23/31.22  | | | | 
% 193.23/31.22  | | | End of split
% 193.23/31.22  | | | 
% 193.23/31.22  | | End of split
% 193.23/31.22  | | 
% 193.23/31.22  | End of split
% 193.23/31.22  | 
% 193.23/31.22  End of proof
% 193.23/31.22  
% 193.23/31.22  Sub-proof #9 shows that the following formulas are inconsistent:
% 193.23/31.22  ----------------------------------------------------------------
% 193.23/31.22    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.23/31.22             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.23/31.22           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.23/31.22           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.23/31.22           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.23/31.22           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.23/31.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.22    (3)  op(e1, e3) = e1
% 193.23/31.22    (4)  op(e2, e2) = e3
% 193.23/31.22  
% 193.23/31.22  Begin of proof
% 193.23/31.22  | 
% 193.23/31.22  | BETA: splitting (1) gives:
% 193.23/31.22  | 
% 193.23/31.22  | Case 1:
% 193.23/31.22  | | 
% 193.23/31.22  | |   (5)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.23/31.22  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.23/31.22  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 193.23/31.22  | | 
% 193.23/31.22  | | ALPHA: (5) implies:
% 193.23/31.22  | |   (6)   ~ (all_57_1 = e1)
% 193.23/31.22  | |   (7)  op(e1, e3) = all_57_1
% 193.23/31.22  | | 
% 193.23/31.22  | | REF_CLOSE: (2), (3), (6), (7) are inconsistent by sub-proof #1326.
% 193.23/31.22  | | 
% 193.23/31.22  | Case 2:
% 193.23/31.22  | | 
% 193.23/31.22  | |   (8)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 193.23/31.22  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 193.23/31.22  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 193.23/31.22  | | 
% 193.23/31.22  | | ALPHA: (8) implies:
% 193.23/31.22  | |   (9)   ~ (all_57_12 = e3)
% 193.23/31.22  | |   (10)  op(e2, e2) = all_57_12
% 193.23/31.22  | | 
% 193.23/31.22  | | REF_CLOSE: (2), (4), (9), (10) are inconsistent by sub-proof #221.
% 193.23/31.22  | | 
% 193.23/31.22  | End of split
% 193.23/31.22  | 
% 193.23/31.22  End of proof
% 193.23/31.22  
% 193.23/31.22  Sub-proof #10 shows that the following formulas are inconsistent:
% 193.23/31.22  ----------------------------------------------------------------
% 193.23/31.22    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.23    (2)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.23/31.23           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.23/31.23           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.23/31.23                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 193.23/31.23               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.23/31.23               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 193.23/31.23           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 193.23/31.23             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.23/31.23               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.23/31.23           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.23/31.23               = all_57_4 & $i(all_57_4))))
% 193.23/31.23    (3)  op(e2, e0) = all_52_13
% 193.23/31.23    (4)   ~ (all_52_1 = all_52_13)
% 193.23/31.23    (5)  op(e2, e3) = e2
% 193.23/31.23    (6)   ~ (all_52_13 = e0)
% 193.23/31.23    (7)  op(e2, e3) = all_52_1
% 193.23/31.23  
% 193.23/31.23  Begin of proof
% 193.23/31.23  | 
% 193.23/31.23  | BETA: splitting (2) gives:
% 193.23/31.23  | 
% 193.23/31.23  | Case 1:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (8)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.23/31.23  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.23/31.23  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.23/31.23  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 193.23/31.23  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.23/31.23  | |            all_57_13 & $i(all_57_13)))
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (8) implies:
% 193.23/31.23  | |   (9)  op(e2, e0) = e2
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (1), (3), (4), (5), (7), (9) are inconsistent by sub-proof #34.
% 193.23/31.23  | | 
% 193.23/31.23  | Case 2:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (10)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 193.23/31.23  | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.23/31.23  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 193.23/31.23  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 193.23/31.23  | |             e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.23/31.23  | |             all_57_4 & $i(all_57_4)))
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (10) implies:
% 193.23/31.23  | |   (11)  op(e2, e0) = e0
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (1), (3), (6), (11) are inconsistent by sub-proof #1173.
% 193.23/31.23  | | 
% 193.23/31.23  | End of split
% 193.23/31.23  | 
% 193.23/31.23  End of proof
% 193.23/31.23  
% 193.23/31.23  Sub-proof #11 shows that the following formulas are inconsistent:
% 193.23/31.23  ----------------------------------------------------------------
% 193.23/31.23    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.23/31.23         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.23/31.23    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.23/31.23         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.23/31.23    (3)   ~ (e3 = e2)
% 193.23/31.23    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.23    (5)  all_56_12 = e3
% 193.23/31.23    (6)  all_56_13 = e2
% 193.23/31.23    (7)   ~ (e1 = e0)
% 193.23/31.23    (8)  all_56_6 = e1
% 193.23/31.23    (9)   ~ (e2 = e1)
% 193.23/31.23    (10)  op(e0, e3) = e3
% 193.23/31.23    (11)  all_56_2 = e2
% 193.23/31.23    (12)   ~ (e3 = e1)
% 193.23/31.23    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 193.23/31.23    (14)   ~ (e2 = e0)
% 193.23/31.23    (15)   ~ (e3 = e0)
% 193.23/31.23  
% 193.23/31.23  Begin of proof
% 193.23/31.23  | 
% 193.23/31.23  | BETA: splitting (13) gives:
% 193.23/31.23  | 
% 193.23/31.23  | Case 1:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (16)  all_56_12 = e1 & op(e0, e3) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (16) implies:
% 193.23/31.23  | |   (17)  op(e0, e3) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (4), (10), (12), (17) are inconsistent by sub-proof #375.
% 193.23/31.23  | | 
% 193.23/31.23  | Case 2:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (18)  all_56_13 = e1 & op(e0, e2) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (18) implies:
% 193.23/31.23  | |   (19)  all_56_13 = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | COMBINE_EQS: (6), (19) imply:
% 193.23/31.23  | |   (20)  e2 = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (11), (14), (15), (20) are
% 193.23/31.23  | |            inconsistent by sub-proof #16.
% 193.23/31.23  | | 
% 193.23/31.23  | End of split
% 193.23/31.23  | 
% 193.23/31.23  End of proof
% 193.23/31.23  
% 193.23/31.23  Sub-proof #12 shows that the following formulas are inconsistent:
% 193.23/31.23  ----------------------------------------------------------------
% 193.23/31.23    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.23    (2)  op(e3, e2) = e2
% 193.23/31.23    (3)  op(e3, e2) = e1
% 193.23/31.23    (4)   ~ (e2 = e1)
% 193.23/31.23  
% 193.23/31.23  Begin of proof
% 193.23/31.23  | 
% 193.23/31.23  | GROUND_INST: instantiating (1) with e1, e2, e2, e3, simplifying with (2), (3)
% 193.23/31.23  |              gives:
% 193.23/31.23  |   (5)  e2 = e1
% 193.23/31.23  | 
% 193.23/31.23  | REDUCE: (4), (5) imply:
% 193.23/31.23  |   (6)  $false
% 193.23/31.23  | 
% 193.23/31.23  | CLOSE: (6) is inconsistent.
% 193.23/31.23  | 
% 193.23/31.23  End of proof
% 193.23/31.23  
% 193.23/31.23  Sub-proof #13 shows that the following formulas are inconsistent:
% 193.23/31.23  ----------------------------------------------------------------
% 193.23/31.23    (1)  op(e3, e3) = e0
% 193.23/31.23    (2)  op(e1, e3) = all_52_2
% 193.23/31.23    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.23/31.23         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.23/31.23    (4)   ~ (e3 = e2)
% 193.23/31.23    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.23    (6)  all_56_12 = e3
% 193.23/31.23    (7)   ~ (all_52_2 = e2)
% 193.23/31.23    (8)   ~ (e1 = e0)
% 193.23/31.23    (9)   ~ (e2 = e1)
% 193.23/31.23    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 193.23/31.23    (11)   ~ (e2 = e0)
% 193.23/31.23  
% 193.23/31.23  Begin of proof
% 193.23/31.23  | 
% 193.23/31.23  | BETA: splitting (10) gives:
% 193.23/31.23  | 
% 193.23/31.23  | Case 1:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (12)  all_56_0 = e1 & op(e3, e3) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (12) implies:
% 193.23/31.23  | |   (13)  op(e3, e3) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (1), (5), (8), (13) are inconsistent by sub-proof #1937.
% 193.23/31.23  | | 
% 193.23/31.23  | Case 2:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (14)  all_56_2 = e1 & op(e2, e3) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (14) implies:
% 193.23/31.23  | |   (15)  all_56_2 = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (15) are
% 193.23/31.23  | |            inconsistent by sub-proof #73.
% 193.23/31.23  | | 
% 193.23/31.23  | End of split
% 193.23/31.23  | 
% 193.23/31.23  End of proof
% 193.23/31.23  
% 193.23/31.23  Sub-proof #14 shows that the following formulas are inconsistent:
% 193.23/31.23  ----------------------------------------------------------------
% 193.23/31.23    (1)   ~ (all_52_3 = e3)
% 193.23/31.23    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.23    (3)  op(e0, e3) = all_52_3
% 193.23/31.23    (4)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 193.23/31.23           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.23/31.23           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 193.23/31.23                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 193.23/31.23               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 193.23/31.23               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 193.23/31.23           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 193.23/31.23           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.23/31.23             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.23           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.23/31.23               = all_57_1 & $i(all_57_1))))
% 193.23/31.23    (5)   ~ (all_52_3 = e0)
% 193.23/31.23  
% 193.23/31.23  Begin of proof
% 193.23/31.23  | 
% 193.23/31.23  | BETA: splitting (4) gives:
% 193.23/31.23  | 
% 193.23/31.23  | Case 1:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (6)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 193.23/31.23  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.23/31.23  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 193.23/31.23  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 193.23/31.23  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.23/31.23  | |            all_57_13 & $i(all_57_13)))
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (6) implies:
% 193.23/31.23  | |   (7)  op(e0, e3) = e3
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #323.
% 193.23/31.23  | | 
% 193.23/31.23  | Case 2:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (8)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 193.23/31.23  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.23/31.23  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 193.23/31.23  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.23/31.23  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 193.23/31.23  | |            & $i(all_57_1)))
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (8) implies:
% 193.23/31.23  | |   (9)  op(e0, e3) = e0
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1935.
% 193.23/31.23  | | 
% 193.23/31.23  | End of split
% 193.23/31.23  | 
% 193.23/31.23  End of proof
% 193.23/31.23  
% 193.23/31.23  Sub-proof #15 shows that the following formulas are inconsistent:
% 193.23/31.23  ----------------------------------------------------------------
% 193.23/31.23    (1)  op(e3, e3) = e0
% 193.23/31.23    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.23    (3)   ~ (all_52_8 = e1)
% 193.23/31.23    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 193.23/31.23           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 193.23/31.23           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 193.23/31.23                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 193.23/31.23               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 193.23/31.23               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.23/31.23           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 193.23/31.23           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.23/31.23               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.23/31.23           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.23/31.23               = all_57_2 & $i(all_57_2))))
% 193.23/31.23    (5)   ~ (e1 = e0)
% 193.23/31.23    (6)  op(e3, e1) = all_52_8
% 193.23/31.23  
% 193.23/31.23  Begin of proof
% 193.23/31.23  | 
% 193.23/31.23  | BETA: splitting (4) gives:
% 193.23/31.23  | 
% 193.23/31.23  | Case 1:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 193.23/31.23  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 193.23/31.23  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 193.23/31.23  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 193.23/31.23  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 193.23/31.23  | |            & $i(all_57_8)))
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (7) implies:
% 193.23/31.23  | |   (8)  op(e3, e3) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1937.
% 193.23/31.23  | | 
% 193.23/31.23  | Case 2:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 193.23/31.23  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.23/31.23  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 193.23/31.23  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.23/31.23  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 193.23/31.23  | |            & $i(all_57_2)))
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (9) implies:
% 193.23/31.23  | |   (10)  op(e3, e1) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1880.
% 193.23/31.23  | | 
% 193.23/31.23  | End of split
% 193.23/31.23  | 
% 193.23/31.23  End of proof
% 193.23/31.23  
% 193.23/31.23  Sub-proof #16 shows that the following formulas are inconsistent:
% 193.23/31.23  ----------------------------------------------------------------
% 193.23/31.23    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.23/31.23         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.23/31.23    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.23/31.23         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.23/31.23    (3)   ~ (e3 = e2)
% 193.23/31.23    (4)  all_56_12 = e3
% 193.23/31.23    (5)  e2 = e1
% 193.23/31.23    (6)   ~ (e1 = e0)
% 193.23/31.23    (7)  all_56_6 = e1
% 193.23/31.23    (8)   ~ (e2 = e1)
% 193.23/31.23    (9)  all_56_2 = e2
% 193.23/31.23    (10)   ~ (e2 = e0)
% 193.23/31.23    (11)   ~ (e3 = e0)
% 193.23/31.23  
% 193.23/31.23  Begin of proof
% 193.23/31.23  | 
% 193.23/31.23  | SIMP: (5) implies:
% 193.23/31.23  |   (12)  e2 = e1
% 193.23/31.23  | 
% 193.23/31.23  | COMBINE_EQS: (9), (12) imply:
% 193.23/31.23  |   (13)  all_56_2 = e1
% 193.23/31.23  | 
% 193.23/31.23  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (10), (11), (13) are
% 193.23/31.23  |            inconsistent by sub-proof #275.
% 193.23/31.23  | 
% 193.23/31.23  End of proof
% 193.23/31.23  
% 193.23/31.23  Sub-proof #17 shows that the following formulas are inconsistent:
% 193.23/31.23  ----------------------------------------------------------------
% 193.23/31.23    (1)  op(e3, e3) = e0
% 193.23/31.23    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.23/31.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.23/31.23    (3)   ~ (e1 = e0)
% 193.23/31.23    (4)   ~ (e2 = e1)
% 193.23/31.23    (5)  all_56_2 = e2
% 193.23/31.23    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 193.23/31.23  
% 193.23/31.23  Begin of proof
% 193.23/31.23  | 
% 193.23/31.23  | BETA: splitting (6) gives:
% 193.23/31.23  | 
% 193.23/31.23  | Case 1:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | ALPHA: (7) implies:
% 193.23/31.23  | |   (8)  op(e3, e3) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1937.
% 193.23/31.23  | | 
% 193.23/31.23  | Case 2:
% 193.23/31.23  | | 
% 193.23/31.23  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 193.23/31.23  | | 
% 193.23/31.23  | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #1570.
% 193.23/31.23  | | 
% 193.23/31.23  | End of split
% 193.23/31.23  | 
% 193.23/31.23  End of proof
% 193.23/31.23  
% 193.23/31.23  Sub-proof #18 shows that the following formulas are inconsistent:
% 193.23/31.23  ----------------------------------------------------------------
% 193.23/31.23    (1)   ~ (all_52_4 = e3)
% 193.23/31.23    (2)  op(e3, e3) = e0
% 193.23/31.23    (3)  op(e1, e1) = e1
% 193.23/31.23    (4)  op(e1, e3) = all_52_2
% 193.23/31.23    (5)  all_56_1 = e1
% 193.45/31.24    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.45/31.24           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.45/31.24           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 193.45/31.24                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.45/31.24               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.45/31.24               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.24           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 193.45/31.24           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.24               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.24           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.45/31.24               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 193.45/31.24           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 193.45/31.24           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 193.45/31.24               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.24               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.45/31.24               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.24         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 193.45/31.24           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.45/31.24           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 193.45/31.24               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.45/31.24             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.24         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 193.45/31.24           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.45/31.24           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 193.45/31.24                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 193.45/31.24               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 193.45/31.24               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 193.45/31.24           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 193.45/31.24           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.45/31.24             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.24           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.45/31.24               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 193.45/31.24           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 193.45/31.24           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 193.45/31.24               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.24               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.45/31.24               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.24         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 193.45/31.24           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.45/31.24           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 193.45/31.24               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.45/31.24             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.24         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.45/31.24           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.45/31.24           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.45/31.24                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 193.45/31.24               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.45/31.24               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 193.45/31.24           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 193.45/31.24             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.24               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.24           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.24               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 193.45/31.24           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.45/31.24           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 193.45/31.24               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.24               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.24               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.24         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 193.45/31.24           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.45/31.24           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 193.45/31.24               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 193.45/31.24             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.45/31.24         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.45/31.24             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.24           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.45/31.24               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.45/31.24             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.24         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.45/31.24             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.24           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.24               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.45/31.24             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.24         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.45/31.24             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.24           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 193.45/31.24               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 193.45/31.24             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.24         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 193.45/31.24             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.24           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 193.45/31.24               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 193.45/31.24             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.24    (7)   ~ (all_52_3 = e1)
% 193.45/31.24    (8)   ~ (all_52_13 = e3)
% 193.45/31.24    (9)  op(e1, e2) = all_52_6
% 193.45/31.24    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.45/31.24          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.45/31.24    (11)   ~ (all_52_11 = e1)
% 193.45/31.24    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 193.45/31.24          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 193.45/31.24    (13)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 193.45/31.24          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 193.45/31.24    (14)  op(e0, e0) = e1
% 193.45/31.24    (15)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 193.45/31.24          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 193.45/31.24    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.45/31.24          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.45/31.24    (17)   ~ (all_52_2 = e0)
% 193.45/31.24    (18)   ~ (e3 = e2)
% 193.45/31.24    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.24            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.24    (20)   ~ (all_52_9 = e1)
% 193.45/31.24    (21)  op(e3, e2) = all_52_4
% 193.45/31.24    (22)  op(e2, e2) = e3
% 193.45/31.24    (23)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.45/31.24    (24)   ~ (all_52_7 = all_52_11)
% 193.45/31.24    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.45/31.24          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.45/31.24    (26)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.45/31.24          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.45/31.24    (27)   ~ (all_52_3 = all_52_7)
% 193.45/31.24    (28)  all_54_12 = all_52_3
% 193.45/31.24    (29)  all_54_13 = all_52_7
% 193.45/31.24    (30)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 193.45/31.24          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 193.45/31.24    (31)  all_54_10 = all_10_2
% 193.45/31.24    (32)  all_54_9 = all_52_6
% 193.45/31.24    (33)  op(e0, e3) = all_52_3
% 193.45/31.24    (34)   ~ (all_4_0 = e3)
% 193.45/31.24    (35)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 193.45/31.24    (36)  op(e2, e0) = all_52_13
% 193.45/31.24    (37)  op(e1, e0) = all_52_14
% 193.45/31.24    (38)  all_54_8 = all_52_2
% 193.45/31.24    (39)  all_54_9 = all_4_0
% 193.45/31.24    (40)  all_52_6 = all_4_0
% 193.45/31.24    (41)   ~ (all_52_14 = all_4_0)
% 193.45/31.24    (42)   ~ (all_52_2 = all_52_14)
% 193.45/31.24    (43)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.45/31.24              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.24            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.45/31.24            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.45/31.24            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.24            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.45/31.24            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 193.45/31.24            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.24            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 193.45/31.24            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.24            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.24            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 193.45/31.24            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.24            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.24            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.45/31.24            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.24            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.24            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 193.45/31.24            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.24            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.24            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 193.45/31.24            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.24            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.24            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 193.45/31.24            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.24            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.24            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.24            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.24            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.24            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 193.45/31.24            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.24            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.45/31.24            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.24            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.24            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.24            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.24            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.24            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.24            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.24            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.24            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.24            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 193.45/31.24            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.24            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.24            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 193.45/31.24            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.24            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.24            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.24              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 193.45/31.24            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.24            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.24              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.24            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.24            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 193.45/31.24                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.24                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.24                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.24                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.24                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.45/31.24                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.24                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.24              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.24                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.24                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.24                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.24                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.24                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.24                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.24                $i(all_57_7))))
% 193.45/31.24    (44)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 193.45/31.24          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 193.45/31.24    (45)  all_54_10 = e1 | all_54_10 = e0
% 193.45/31.24    (46)   ~ (all_4_0 = e1)
% 193.45/31.24    (47)   ~ (all_52_7 = all_4_0)
% 193.45/31.24    (48)   ~ (all_52_7 = e1)
% 193.45/31.24    (49)  op(e0, e1) = all_52_11
% 193.45/31.24    (50)   ~ (all_52_6 = all_52_14)
% 193.45/31.24    (51)  op(e1, e1) = all_10_2
% 193.45/31.24    (52)   ~ (all_52_14 = e1)
% 193.45/31.24    (53)   ~ (all_52_8 = all_52_12)
% 193.45/31.24    (54)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.45/31.24    (55)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 193.45/31.24          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 193.45/31.24    (56)  all_54_11 = all_52_14
% 193.45/31.24    (57)   ~ (e1 = e0)
% 193.45/31.24    (58)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 193.45/31.24          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 193.45/31.24    (59)  all_56_2 = e1
% 193.45/31.24    (60)   ~ (all_52_8 = all_52_11)
% 193.45/31.24    (61)  all_56_3 = e3
% 193.45/31.24    (62)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 193.45/31.24          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 193.45/31.24    (63)   ~ (all_10_2 = e0)
% 193.45/31.24    (64)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 193.45/31.24    (65)   ~ (all_52_13 = all_52_14)
% 193.45/31.24    (66)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 193.45/31.24    (67)   ~ (e2 = e1)
% 193.45/31.24    (68)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 193.45/31.24          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 193.45/31.24    (69)  all_54_14 = all_52_11
% 193.45/31.24    (70)   ~ (all_52_2 = e1)
% 193.45/31.24    (71)  op(e3, e0) = all_52_12
% 193.45/31.24    (72)   ~ (all_52_7 = e3)
% 193.45/31.24    (73)   ~ (all_52_2 = all_52_3)
% 193.45/31.24    (74)   ~ (all_10_2 = e2)
% 193.45/31.24    (75)  op(e2, e1) = all_52_9
% 193.45/31.24    (76)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 193.45/31.24            $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 193.45/31.24            & $i(all_8_1))
% 193.45/31.24    (77)   ~ (all_52_1 = all_52_3)
% 193.45/31.24    (78)  op(e3, e1) = all_52_8
% 193.45/31.24    (79)   ~ (e3 = e1)
% 193.45/31.24    (80)   ~ (all_52_6 = e1)
% 193.45/31.24    (81)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 193.45/31.24          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 193.45/31.24    (82)  op(e0, e2) = all_52_7
% 193.45/31.24    (83)   ~ (e2 = e0)
% 193.45/31.24    (84)  op(e2, e3) = all_52_1
% 193.45/31.24    (85)   ~ (all_52_8 = e0)
% 193.45/31.24    (86)   ~ (all_52_2 = all_4_0)
% 193.45/31.24    (87)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.45/31.24    (88)   ~ (e3 = e0)
% 193.45/31.24    (89)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 193.45/31.24            $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 193.45/31.24            & $i(all_6_1))
% 193.45/31.24    (90)   ~ (all_4_0 = e0)
% 193.45/31.24    (91)   ~ (all_52_3 = all_52_11)
% 193.45/31.24  
% 193.45/31.24  Begin of proof
% 193.45/31.24  | 
% 193.45/31.24  | REDUCE: (9), (40) imply:
% 193.45/31.24  |   (92)  op(e1, e2) = all_4_0
% 193.45/31.24  | 
% 193.45/31.24  | BETA: splitting (87) gives:
% 193.45/31.24  | 
% 193.45/31.24  | Case 1:
% 193.45/31.24  | | 
% 193.45/31.24  | |   (93)  all_54_9 = e3
% 193.45/31.24  | | 
% 193.45/31.24  | | REF_CLOSE: (34), (39), (93) are inconsistent by sub-proof #75.
% 193.45/31.24  | | 
% 193.45/31.24  | Case 2:
% 193.45/31.24  | | 
% 193.45/31.24  | |   (94)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.45/31.24  | | 
% 193.45/31.24  | | BETA: splitting (15) gives:
% 193.45/31.24  | | 
% 193.45/31.24  | | Case 1:
% 193.45/31.24  | | | 
% 193.45/31.24  | | |   (95)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 193.45/31.24  | | |           e2)
% 193.45/31.24  | | | 
% 193.45/31.24  | | | REF_CLOSE: (5), (18), (19), (22), (67), (95) are inconsistent by sub-proof
% 193.45/31.24  | | |            #131.
% 193.45/31.24  | | | 
% 193.45/31.24  | | Case 2:
% 193.45/31.24  | | | 
% 193.45/31.24  | | |   (96)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 193.45/31.24  | | |           e2)
% 193.45/31.24  | | | 
% 193.45/31.24  | | | BETA: splitting (96) gives:
% 193.45/31.24  | | | 
% 193.45/31.24  | | | Case 1:
% 193.45/31.24  | | | | 
% 193.45/31.24  | | | |   (97)  all_56_7 = e2 & op(e1, e2) = e2
% 193.45/31.24  | | | | 
% 193.45/31.24  | | | | ALPHA: (97) implies:
% 193.45/31.24  | | | |   (98)  all_56_7 = e2
% 193.45/31.24  | | | |   (99)  op(e1, e2) = e2
% 193.45/31.24  | | | | 
% 193.45/31.24  | | | | BETA: splitting (30) gives:
% 193.45/31.24  | | | | 
% 193.45/31.24  | | | | Case 1:
% 193.45/31.24  | | | | | 
% 193.45/31.24  | | | | |   (100)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1,
% 193.45/31.24  | | | | |              e2) = e0)
% 193.45/31.24  | | | | | 
% 193.45/31.24  | | | | | BETA: splitting (100) gives:
% 193.45/31.24  | | | | | 
% 193.45/31.24  | | | | | Case 1:
% 193.45/31.24  | | | | | | 
% 193.45/31.24  | | | | | |   (101)  all_56_6 = e0 & op(e1, e3) = e0
% 193.45/31.24  | | | | | | 
% 193.45/31.24  | | | | | | REF_CLOSE: (4), (17), (19), (101) are inconsistent by sub-proof
% 193.45/31.24  | | | | | |            #1768.
% 193.45/31.24  | | | | | | 
% 193.45/31.24  | | | | | Case 2:
% 193.45/31.24  | | | | | | 
% 193.45/31.24  | | | | | |   (102)  all_56_7 = e0 & op(e1, e2) = e0
% 193.45/31.24  | | | | | | 
% 193.45/31.24  | | | | | | REF_CLOSE: (83), (98), (102) are inconsistent by sub-proof #873.
% 193.45/31.24  | | | | | | 
% 193.45/31.24  | | | | | End of split
% 193.45/31.24  | | | | | 
% 193.45/31.24  | | | | Case 2:
% 193.45/31.24  | | | | | 
% 193.45/31.24  | | | | |   (103)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1,
% 193.45/31.24  | | | | |              e0) = e0)
% 193.45/31.24  | | | | | 
% 193.45/31.24  | | | | | BETA: splitting (103) gives:
% 193.45/31.24  | | | | | 
% 193.45/31.24  | | | | | Case 1:
% 193.45/31.24  | | | | | | 
% 193.45/31.24  | | | | | |   (104)  all_56_8 = e0 & op(e1, e1) = e0
% 193.45/31.24  | | | | | | 
% 193.45/31.24  | | | | | | ALPHA: (104) implies:
% 193.45/31.24  | | | | | |   (105)  op(e1, e1) = e0
% 193.45/31.24  | | | | | | 
% 193.45/31.25  | | | | | | REF_CLOSE: (3), (19), (57), (105) are inconsistent by sub-proof
% 193.45/31.25  | | | | | |            #1959.
% 193.45/31.25  | | | | | | 
% 193.45/31.25  | | | | | Case 2:
% 193.45/31.25  | | | | | | 
% 193.45/31.25  | | | | | |   (106)  all_56_11 = e0 & op(e1, e0) = e0
% 193.45/31.25  | | | | | | 
% 193.45/31.25  | | | | | | ALPHA: (106) implies:
% 193.45/31.25  | | | | | |   (107)  all_56_11 = e0
% 193.45/31.25  | | | | | |   (108)  op(e1, e0) = e0
% 193.45/31.25  | | | | | | 
% 193.45/31.25  | | | | | | BETA: splitting (58) gives:
% 193.45/31.25  | | | | | | 
% 193.45/31.25  | | | | | | Case 1:
% 193.45/31.25  | | | | | | | 
% 193.45/31.25  | | | | | | |   (109)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 193.45/31.25  | | | | | | |            op(e2, e0) = e3)
% 193.45/31.25  | | | | | | | 
% 193.45/31.25  | | | | | | | BETA: splitting (109) gives:
% 193.45/31.25  | | | | | | | 
% 193.45/31.25  | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | 
% 193.45/31.25  | | | | | | | |   (110)  all_56_9 = e3 & op(e3, e0) = e3
% 193.45/31.25  | | | | | | | | 
% 193.45/31.25  | | | | | | | | ALPHA: (110) implies:
% 193.45/31.25  | | | | | | | |   (111)  all_56_9 = e3
% 193.45/31.25  | | | | | | | |   (112)  op(e3, e0) = e3
% 193.45/31.25  | | | | | | | | 
% 193.45/31.25  | | | | | | | | BETA: splitting (81) gives:
% 193.45/31.25  | | | | | | | | 
% 193.45/31.25  | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | 
% 193.45/31.25  | | | | | | | | |   (113)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 &
% 193.45/31.25  | | | | | | | | |            op(e1, e2) = e3)
% 193.45/31.25  | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | BETA: splitting (113) gives:
% 193.45/31.25  | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | |   (114)  all_56_6 = e3 & op(e1, e3) = e3
% 193.45/31.25  | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | ALPHA: (114) implies:
% 193.45/31.25  | | | | | | | | | |   (115)  all_56_6 = e3
% 193.45/31.25  | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | BETA: splitting (44) gives:
% 193.45/31.25  | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | |   (116)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 193.45/31.25  | | | | | | | | | | |            & op(e3, e2) = e2)
% 193.45/31.25  | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | BETA: splitting (116) gives:
% 193.45/31.25  | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | |   (117)  all_56_0 = e2 & op(e3, e3) = e2
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | ALPHA: (117) implies:
% 193.45/31.25  | | | | | | | | | | | |   (118)  op(e3, e3) = e2
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | REF_CLOSE: (2), (19), (83), (118) are inconsistent by
% 193.45/31.25  | | | | | | | | | | | |            sub-proof #833.
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | |   (119)  all_56_1 = e2 & op(e3, e2) = e2
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | REF_CLOSE: (5), (67), (119) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | |            #1503.
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | End of split
% 193.45/31.25  | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | |   (120)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 193.45/31.25  | | | | | | | | | | |            & op(e3, e0) = e2)
% 193.45/31.25  | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | BETA: splitting (120) gives:
% 193.45/31.25  | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | |   (121)  all_56_4 = e2 & op(e3, e1) = e2
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | ALPHA: (121) implies:
% 193.45/31.25  | | | | | | | | | | | |   (122)  all_56_4 = e2
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | BETA: splitting (94) gives:
% 193.45/31.25  | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | |   (123)  all_54_9 = e2
% 193.45/31.25  | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | COMBINE_EQS: (39), (123) imply:
% 193.45/31.25  | | | | | | | | | | | | |   (124)  all_4_0 = e2
% 193.45/31.25  | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | SIMP: (124) implies:
% 193.45/31.25  | | | | | | | | | | | | |   (125)  all_4_0 = e2
% 193.45/31.25  | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | REDUCE: (86), (125) imply:
% 193.45/31.25  | | | | | | | | | | | | |   (126)   ~ (all_52_2 = e2)
% 193.45/31.25  | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | REDUCE: (47), (125) imply:
% 193.45/31.25  | | | | | | | | | | | | |   (127)   ~ (all_52_7 = e2)
% 193.45/31.25  | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | REDUCE: (41), (125) imply:
% 193.45/31.25  | | | | | | | | | | | | |   (128)   ~ (all_52_14 = e2)
% 193.45/31.25  | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | BETA: splitting (54) gives:
% 193.45/31.25  | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | |   (129)  all_54_8 = e3
% 193.45/31.25  | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | COMBINE_EQS: (38), (129) imply:
% 193.45/31.25  | | | | | | | | | | | | | |   (130)  all_52_2 = e3
% 193.45/31.25  | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | SIMP: (130) implies:
% 193.45/31.25  | | | | | | | | | | | | | |   (131)  all_52_2 = e3
% 193.45/31.25  | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | REDUCE: (73), (131) imply:
% 193.45/31.25  | | | | | | | | | | | | | |   (132)   ~ (all_52_3 = e3)
% 193.45/31.25  | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | SIMP: (132) implies:
% 193.45/31.25  | | | | | | | | | | | | | |   (133)   ~ (all_52_3 = e3)
% 193.45/31.25  | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | REDUCE: (42), (131) imply:
% 193.45/31.25  | | | | | | | | | | | | | |   (134)   ~ (all_52_14 = e3)
% 193.45/31.25  | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | SIMP: (134) implies:
% 193.45/31.25  | | | | | | | | | | | | | |   (135)   ~ (all_52_14 = e3)
% 193.45/31.25  | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | REDUCE: (4), (131) imply:
% 193.45/31.25  | | | | | | | | | | | | | |   (136)  op(e1, e3) = e3
% 193.45/31.25  | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 193.45/31.25  | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | |   (137)  all_54_12 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | REF_CLOSE: (28), (133), (137) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | |            #1466.
% 193.45/31.25  | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | |   (138)   ~ (all_54_12 = e3)
% 193.45/31.25  | | | | | | | | | | | | | | |   (139)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | |   (140)  all_54_13 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | REF_CLOSE: (29), (72), (140) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | |            #1445.
% 193.45/31.25  | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | |   (141)   ~ (all_54_13 = e3)
% 193.45/31.25  | | | | | | | | | | | | | | | |   (142)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | |   (143)  all_54_13 = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (127), (143) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | |            #1444.
% 193.45/31.25  | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | |   (144)   ~ (all_54_13 = e2)
% 193.45/31.25  | | | | | | | | | | | | | | | | |   (145)  all_54_13 = e1 | all_54_13 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | |   (146)  all_54_11 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (135), (146) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | | |            #1277.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | |   (147)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | |   (148)  all_54_11 = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (128), (148) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | | | |            #1339.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | |   (149)  all_54_11 = e1 | all_54_11 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | |   (150)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | |   (151)  all_56_4 = e3 & op(e3, e1) = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | ALPHA: (151) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | |   (152)  op(e3, e1) = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (53), (71), (78), (112), (152) are
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1912.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | |   (153)  all_56_5 = e3 & op(e2, e1) = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | |   (154)  all_56_5 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (155)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (156)  all_56_2 = e0 & op(e2, e3) = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (156) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (157)  all_56_2 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (59), (157) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |            #1713.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (158)  all_56_3 = e0 & op(e2, e2) = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (158) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (159)  all_56_3 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (159) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (160)  e3 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (160) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (161)  $false
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (161) is inconsistent.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (162)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (163)  all_56_5 = e0 & op(e2, e1) = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (154), (163) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |            #1499.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (164)  all_56_10 = e0 & op(e2, e0) = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (165)  all_56_10 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | |   (166)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (167)  all_56_2 = e2 & op(e2, e3) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (67), (167) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |            #1304.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (168)  all_56_3 = e2 & op(e2, e2) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_56_3 = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (169) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (170)  e3 = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (170) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (171)  $false
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | |   (172)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_56_5 = e2 & op(e2, e1) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (154), (173) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |            #1816.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_56_10 = e2 & op(e2, e0) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (165), (174) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |            #1003.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | |   (175)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | |   (176)  all_56_8 = e3 & op(e1, e1) = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | |   (177)  op(e1, e1) = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (19), (79), (177) are inconsistent by
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1978.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | |   (178)  all_56_14 = e3 & op(e0, e1) = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | ALPHA: (178) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | |   (179)  all_56_14 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (180)  all_54_13 = e1
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (48), (180) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |            #1654.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (181)  all_54_13 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (181) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (182)  all_52_7 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | SIMP: (182) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (183)  all_52_7 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (183) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (184)   ~ (all_52_3 = e0)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (183) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_52_11 = e0)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (186)   ~ (all_52_11 = e0)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (183) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (187)   ~ (e3 = e0)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (183) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (188)   ~ (e1 = e0)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (183) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | |   (189)  op(e0, e2) = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_54_12 = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (190) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_52_3 = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (191) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_52_3 = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (192) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (193)   ~ (all_52_11 = e2)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (193) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (194)   ~ (all_52_11 = e2)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (192) imply:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | |   (195)   ~ (e3 = e2)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | |   (196)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  all_56_4 = e0 & op(e3, e1) = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (78), (85), (197) are inconsistent by
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #406.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_56_5 = e0 & op(e2, e1) = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_56_5 = e0
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_56_2 = e2 & op(e2, e3) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  op(e2, e3) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19), (28), (77), (84), (139), (184), (202)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #22.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_56_3 = e2 & op(e2, e2) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  op(e2, e2) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (204) are inconsistent by
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #214.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_56_5 = e2 & op(e2, e1) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (199), (206) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #862.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_56_10 = e2 & op(e2, e0) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  op(e2, e0) = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14), (19), (28), (67), (77), (84), (139),
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (184), (189), (211) are inconsistent by sub-proof
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #21.
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  op(e3, e3) = e1
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (16), (18), (19), (57), (59), (67), (83),
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (115), (214) are inconsistent by sub-proof
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1850.
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  op(e1, e3) = e1
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (79), (136), (216) are inconsistent by
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #142.
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (22), (33), (88), (184), (208), (218) are
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #31.
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (22), (67), (79), (99), (219) are
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #158.
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  op(e0, e2) = e2
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (82), (127), (224) are inconsistent by
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #428.
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (225) implies:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  op(e2, e0) = e0
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (36), (52), (56), (65), (149), (226) are
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #328.
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (228) implies:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  op(e0, e1) = e1
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (19), (49), (229) are inconsistent by
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1885.
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  op(e0, e1) = e0
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (24), (49), (82), (189), (231) are
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #493.
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  op(e3, e3) = e3
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (14), (18), (19), (44), (55), (57),
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (59), (61), (62), (67), (68), (79), (83),
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (107), (179), (199), (235) are inconsistent
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #957.
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (236) implies:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (19), (67), (189), (237) are inconsistent by
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #283.
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_54_14 = e3
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (241) imply:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_52_11 = e3
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (242) implies:
% 193.45/31.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_52_11 = e3
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (243) imply:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)   ~ (all_52_8 = e3)
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)   ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 &
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e0) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  op(e3, e0) = all_8_1
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (7), (10), (16), (18), (19), (21), (22),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (25), (26), (28), (31), (33), (43), (45), (51),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (59), (62), (63), (67), (74), (77), (78),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (83), (84), (88), (89), (99), (108), (112),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (115), (136), (139), (184), (189), (199), (240),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (244), (246) are inconsistent by sub-proof #19.
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)   ~ (all_8_1 = e1) & op(e3, e0) = all_8_1 &
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_8_1)
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (247) implies:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  op(e3, e0) = all_8_1
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (7), (10), (16), (18), (19), (21), (22),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (25), (26), (28), (31), (33), (43), (45), (51),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (59), (62), (63), (67), (74), (77), (78),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (83), (84), (88), (89), (99), (108), (112),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (115), (136), (139), (184), (189), (199), (240),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (244), (248) are inconsistent by sub-proof #19.
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (69), (186), (194), (249) are inconsistent
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1736.
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11))
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (22), (88), (208), (251) are inconsistent by
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #165.
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_56_8 = e0 & op(e1, e1) = e0
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  op(e1, e1) = e0
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (26), (57), (67), (75), (79), (122),
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | |            (179), (254) are inconsistent by sub-proof #1752.
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_56_14 = e0 & op(e0, e1) = e0
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  op(e0, e1) = e0
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (24), (49), (82), (189), (256) are
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #493.
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_54_12 = e1 | all_54_12 = e0
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (28), (184), (257) are inconsistent by
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #845.
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | |   (258)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.45/31.27  | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | | REF_CLOSE: (17), (38), (70), (126), (258) are inconsistent by
% 193.45/31.27  | | | | | | | | | | | | | |            sub-proof #670.
% 193.45/31.27  | | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | |   (259)  all_54_9 = e1 | all_54_9 = e0
% 193.45/31.27  | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | | REF_CLOSE: (19), (32), (37), (50), (80), (108), (259) are
% 193.45/31.27  | | | | | | | | | | | | |            inconsistent by sub-proof #231.
% 193.45/31.27  | | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | |   (260)  all_56_9 = e2 & op(e3, e0) = e2
% 193.45/31.27  | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | | REF_CLOSE: (18), (111), (260) are inconsistent by sub-proof
% 193.45/31.27  | | | | | | | | | | | |            #968.
% 193.45/31.27  | | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | |   (261)  all_56_7 = e3 & op(e1, e2) = e3
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | ALPHA: (261) implies:
% 193.45/31.27  | | | | | | | | | |   (262)  op(e1, e2) = e3
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | REF_CLOSE: (18), (19), (99), (262) are inconsistent by
% 193.45/31.27  | | | | | | | | | |            sub-proof #823.
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | 
% 193.45/31.27  | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | 
% 193.45/31.27  | | | | | | | | |   (263)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 &
% 193.45/31.27  | | | | | | | | |            op(e1, e0) = e3)
% 193.45/31.27  | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | BETA: splitting (263) gives:
% 193.45/31.27  | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | Case 1:
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | |   (264)  all_56_8 = e3 & op(e1, e1) = e3
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | ALPHA: (264) implies:
% 193.45/31.27  | | | | | | | | | |   (265)  op(e1, e1) = e3
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | REF_CLOSE: (3), (19), (79), (265) are inconsistent by
% 193.45/31.27  | | | | | | | | | |            sub-proof #1978.
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | |   (266)  all_56_11 = e3 & op(e1, e0) = e3
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | ALPHA: (266) implies:
% 193.45/31.27  | | | | | | | | | |   (267)  all_56_11 = e3
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | | REF_CLOSE: (88), (107), (267) are inconsistent by sub-proof
% 193.45/31.27  | | | | | | | | | |            #958.
% 193.45/31.27  | | | | | | | | | | 
% 193.45/31.27  | | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | | 
% 193.45/31.27  | | | | | | | | End of split
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | |   (268)  all_56_10 = e3 & op(e2, e0) = e3
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | | REF_CLOSE: (8), (19), (36), (268) are inconsistent by sub-proof
% 193.45/31.27  | | | | | | | |            #1456.
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | End of split
% 193.45/31.27  | | | | | | | 
% 193.45/31.27  | | | | | | Case 2:
% 193.45/31.27  | | | | | | | 
% 193.45/31.27  | | | | | | |   (269)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 193.45/31.27  | | | | | | |            op(e0, e0) = e3)
% 193.45/31.27  | | | | | | | 
% 193.45/31.27  | | | | | | | BETA: splitting (269) gives:
% 193.45/31.27  | | | | | | | 
% 193.45/31.27  | | | | | | | Case 1:
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | |   (270)  all_56_11 = e3 & op(e1, e0) = e3
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | | ALPHA: (270) implies:
% 193.45/31.27  | | | | | | | |   (271)  all_56_11 = e3
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | | COMBINE_EQS: (107), (271) imply:
% 193.45/31.27  | | | | | | | |   (272)  e3 = e0
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | | REDUCE: (88), (272) imply:
% 193.45/31.27  | | | | | | | |   (273)  $false
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | | CLOSE: (273) is inconsistent.
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | Case 2:
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | |   (274)  all_56_15 = e3 & op(e0, e0) = e3
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | | ALPHA: (274) implies:
% 193.45/31.27  | | | | | | | |   (275)  op(e0, e0) = e3
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | | REF_CLOSE: (14), (19), (79), (275) are inconsistent by sub-proof
% 193.45/31.27  | | | | | | | |            #1392.
% 193.45/31.27  | | | | | | | | 
% 193.45/31.27  | | | | | | | End of split
% 193.45/31.27  | | | | | | | 
% 193.45/31.27  | | | | | | End of split
% 193.45/31.27  | | | | | | 
% 193.45/31.27  | | | | | End of split
% 193.45/31.27  | | | | | 
% 193.45/31.27  | | | | End of split
% 193.45/31.27  | | | | 
% 193.45/31.27  | | | Case 2:
% 193.45/31.27  | | | | 
% 193.45/31.27  | | | |   (276)  all_56_13 = e2 & op(e0, e2) = e2
% 193.45/31.27  | | | | 
% 193.45/31.27  | | | | ALPHA: (276) implies:
% 193.45/31.27  | | | |   (277)  op(e0, e2) = e2
% 193.45/31.27  | | | | 
% 193.45/31.27  | | | | REF_CLOSE: (19), (39), (46), (47), (82), (90), (94), (277) are
% 193.45/31.27  | | | |            inconsistent by sub-proof #119.
% 193.45/31.27  | | | | 
% 193.45/31.27  | | | End of split
% 193.45/31.27  | | | 
% 193.45/31.27  | | End of split
% 193.45/31.27  | | 
% 193.45/31.27  | End of split
% 193.45/31.27  | 
% 193.45/31.27  End of proof
% 193.45/31.27  
% 193.45/31.27  Sub-proof #19 shows that the following formulas are inconsistent:
% 193.45/31.27  ----------------------------------------------------------------
% 193.45/31.27    (1)   ~ (all_52_4 = e3)
% 193.45/31.27    (2)  op(e3, e3) = e0
% 193.45/31.27    (3)  op(e1, e0) = e0
% 193.45/31.27    (4)   ~ (all_52_3 = e1)
% 193.45/31.27    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.45/31.27         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.45/31.27    (6)  op(e3, e0) = e3
% 193.45/31.28    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.45/31.28         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.45/31.28    (8)   ~ (e3 = e2)
% 193.45/31.28    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.28    (10)  op(e3, e2) = all_52_4
% 193.45/31.28    (11)  op(e2, e2) = e3
% 193.45/31.28    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.45/31.28          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.45/31.28    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.45/31.28          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.45/31.28    (14)  all_54_12 = all_52_3
% 193.45/31.28    (15)  op(e1, e2) = e2
% 193.45/31.28    (16)  all_54_10 = all_10_2
% 193.45/31.28    (17)  op(e3, e0) = all_8_1
% 193.45/31.28    (18)   ~ (all_52_8 = e3)
% 193.45/31.28    (19)  op(e0, e3) = all_52_3
% 193.45/31.28    (20)  op(e0, e2) = e0
% 193.45/31.28    (21)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.45/31.28              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.28            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.45/31.28            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.45/31.28            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.28            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.45/31.28            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 193.45/31.28            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.28            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 193.45/31.28            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.28            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.28            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 193.45/31.28            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.28            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.28            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.45/31.28            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.28            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.28            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 193.45/31.28            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.28            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.28            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 193.45/31.28            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.28            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.28            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 193.45/31.28            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.28            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.28            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.28            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.28            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.28            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 193.45/31.28            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.28            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.45/31.28            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.28            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.28            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.28            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.28            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.28            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.28            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.28            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.28            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.28            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 193.45/31.28            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.28            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.28            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 193.45/31.28            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.28            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.28            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.28              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 193.45/31.28            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.28            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.28              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.28            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.28            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 193.45/31.28                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.28                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.28                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.28                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.28                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.45/31.28                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.28                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.28              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.28                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.28                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.28                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.28                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.28                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.28                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.28                $i(all_57_7))))
% 193.45/31.28    (22)  all_54_10 = e1 | all_54_10 = e0
% 193.45/31.28    (23)  op(e1, e1) = all_10_2
% 193.45/31.28    (24)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.45/31.28            all_57_7 & $i(all_57_7))
% 193.45/31.28    (25)  all_56_5 = e0
% 193.45/31.28    (26)  op(e1, e3) = e3
% 193.45/31.28    (27)   ~ (e1 = e0)
% 193.45/31.28    (28)  all_56_2 = e1
% 193.45/31.28    (29)  all_56_6 = e3
% 193.45/31.28    (30)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 193.45/31.28          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 193.45/31.28    (31)   ~ (all_10_2 = e0)
% 193.45/31.28    (32)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.45/31.28    (33)   ~ (e2 = e1)
% 193.45/31.28    (34)   ~ (all_52_3 = e0)
% 193.45/31.28    (35)   ~ (all_10_2 = e2)
% 193.45/31.28    (36)   ~ (all_52_1 = all_52_3)
% 193.45/31.28    (37)  op(e3, e1) = all_52_8
% 193.45/31.28    (38)   ~ (e3 = e1)
% 193.45/31.28    (39)   ~ (e2 = e0)
% 193.45/31.28    (40)  op(e2, e3) = all_52_1
% 193.45/31.28    (41)   ~ (e3 = e0)
% 193.45/31.28    (42)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 193.45/31.28            $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 193.45/31.28            & $i(all_6_1))
% 193.45/31.28  
% 193.45/31.28  Begin of proof
% 193.45/31.28  | 
% 193.45/31.28  | BETA: splitting (42) gives:
% 193.45/31.28  | 
% 193.45/31.28  | Case 1:
% 193.45/31.28  | | 
% 193.45/31.28  | |   (43)   ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1
% 193.45/31.28  | |         & $i(all_6_0) & $i(all_6_1)
% 193.45/31.28  | | 
% 193.45/31.28  | | ALPHA: (43) implies:
% 193.45/31.28  | |   (44)  op(e3, e0) = all_6_1
% 193.45/31.28  | | 
% 193.45/31.28  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 193.45/31.28  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 193.45/31.28  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 193.45/31.28  | |            (35), (36), (37), (38), (39), (40), (41), (44) are inconsistent
% 193.45/31.28  | |            by sub-proof #20.
% 193.45/31.28  | | 
% 193.45/31.28  | Case 2:
% 193.45/31.28  | | 
% 193.45/31.28  | |   (45)   ~ (all_6_1 = e2) & op(e3, e0) = all_6_1 & $i(all_6_1)
% 193.45/31.28  | | 
% 193.45/31.28  | | ALPHA: (45) implies:
% 193.45/31.28  | |   (46)  op(e3, e0) = all_6_1
% 193.45/31.28  | | 
% 193.45/31.28  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 193.45/31.28  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 193.45/31.28  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 193.45/31.28  | |            (35), (36), (37), (38), (39), (40), (41), (46) are inconsistent
% 193.45/31.28  | |            by sub-proof #20.
% 193.45/31.28  | | 
% 193.45/31.28  | End of split
% 193.45/31.28  | 
% 193.45/31.28  End of proof
% 193.45/31.28  
% 193.45/31.28  Sub-proof #20 shows that the following formulas are inconsistent:
% 193.45/31.28  ----------------------------------------------------------------
% 193.45/31.28    (1)   ~ (all_52_4 = e3)
% 193.45/31.28    (2)  op(e3, e3) = e0
% 193.45/31.28    (3)  op(e1, e0) = e0
% 193.45/31.28    (4)   ~ (all_52_3 = e1)
% 193.45/31.28    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.45/31.28         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.45/31.28    (6)  op(e3, e0) = e3
% 193.45/31.28    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.45/31.28         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.45/31.28    (8)   ~ (e3 = e2)
% 193.45/31.28    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.28    (10)  op(e3, e2) = all_52_4
% 193.45/31.28    (11)  op(e2, e2) = e3
% 193.45/31.28    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.45/31.28          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.45/31.28    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.45/31.28          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.45/31.28    (14)  all_54_12 = all_52_3
% 193.45/31.28    (15)  op(e1, e2) = e2
% 193.45/31.28    (16)  all_54_10 = all_10_2
% 193.45/31.28    (17)  op(e3, e0) = all_8_1
% 193.45/31.28    (18)   ~ (all_52_8 = e3)
% 193.45/31.28    (19)  op(e0, e3) = all_52_3
% 193.45/31.28    (20)  op(e0, e2) = e0
% 193.45/31.28    (21)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.45/31.28              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.28            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.45/31.28            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.45/31.28            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.28            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.45/31.28            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 193.45/31.28            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.28            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 193.45/31.28            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.28            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.28            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 193.45/31.28            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.28            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.28            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.45/31.28            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.28            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.28            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 193.45/31.28            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.28            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.28            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 193.45/31.28            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.28            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.28            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 193.45/31.28            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.28            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.28            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.28            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.28            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.28            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 193.45/31.28            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.28            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.45/31.28            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.28            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.28            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.28            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.28            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.28            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.28            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.28            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.28            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.28            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 193.45/31.28            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.28            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.28            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 193.45/31.28            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.28            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.28            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.28              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 193.45/31.28            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.28            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.28              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.28            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.28            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 193.45/31.28                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.28                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.28                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.28                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.28                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.45/31.28                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.28                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.28              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.28                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.28                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.28                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.28                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.28                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.28                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.28                $i(all_57_7))))
% 193.45/31.28    (22)  all_54_10 = e1 | all_54_10 = e0
% 193.45/31.28    (23)  op(e1, e1) = all_10_2
% 193.45/31.28    (24)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.45/31.28            all_57_7 & $i(all_57_7))
% 193.45/31.28    (25)  all_56_5 = e0
% 193.45/31.28    (26)  op(e1, e3) = e3
% 193.45/31.28    (27)   ~ (e1 = e0)
% 193.45/31.28    (28)  all_56_2 = e1
% 193.45/31.28    (29)  all_56_6 = e3
% 193.45/31.28    (30)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 193.45/31.28          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 193.45/31.28    (31)   ~ (all_10_2 = e0)
% 193.45/31.28    (32)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.45/31.28    (33)   ~ (e2 = e1)
% 193.45/31.28    (34)   ~ (all_52_3 = e0)
% 193.45/31.28    (35)  op(e3, e0) = all_6_1
% 193.45/31.28    (36)   ~ (all_10_2 = e2)
% 193.45/31.28    (37)   ~ (all_52_1 = all_52_3)
% 193.45/31.28    (38)  op(e3, e1) = all_52_8
% 193.45/31.28    (39)   ~ (e3 = e1)
% 193.45/31.28    (40)   ~ (e2 = e0)
% 193.45/31.28    (41)  op(e2, e3) = all_52_1
% 193.45/31.28    (42)   ~ (e3 = e0)
% 193.45/31.28  
% 193.45/31.28  Begin of proof
% 193.45/31.28  | 
% 193.45/31.28  | BETA: splitting (21) gives:
% 193.45/31.28  | 
% 193.45/31.28  | Case 1:
% 193.45/31.28  | | 
% 193.45/31.28  | |   (43)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 193.45/31.28  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.28  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 193.45/31.28  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 193.45/31.28  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 193.45/31.28  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 193.45/31.28  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 193.45/31.28  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 193.45/31.28  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 193.45/31.28  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 193.45/31.28  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 193.45/31.28  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 193.45/31.28  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 193.45/31.28  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.28  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.45/31.28  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 193.45/31.28  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.45/31.28  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 193.45/31.28  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 193.45/31.28  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 193.45/31.28  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.45/31.28  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 193.45/31.28  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.28  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 193.45/31.28  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 193.45/31.28  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 193.45/31.28  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.28  | | 
% 193.45/31.28  | | BETA: splitting (43) gives:
% 193.45/31.28  | | 
% 193.45/31.28  | | Case 1:
% 193.45/31.28  | | | 
% 193.45/31.28  | | |   (44)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.28  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.28  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 193.45/31.28  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 193.45/31.28  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 193.45/31.28  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.28  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 193.45/31.28  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.45/31.28  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.28  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 193.45/31.28  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.45/31.28  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 193.45/31.28  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 193.45/31.28  | | | 
% 193.45/31.28  | | | BETA: splitting (44) gives:
% 193.45/31.28  | | | 
% 193.45/31.28  | | | Case 1:
% 193.45/31.28  | | | | 
% 193.45/31.29  | | | |   (45)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.29  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.29  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 193.45/31.29  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 193.45/31.29  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.29  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 193.45/31.29  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | BETA: splitting (45) gives:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | Case 1:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | |   (46)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.29  | | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.29  | | | | |         op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 193.45/31.29  | | | | |         $i(all_57_12)
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | ALPHA: (46) implies:
% 193.45/31.29  | | | | |   (47)  op(e2, e3) = e2
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | REF_CLOSE: (4), (9), (14), (32), (34), (37), (41), (47) are
% 193.45/31.29  | | | | |            inconsistent by sub-proof #22.
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | Case 2:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | |   (48)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 193.45/31.29  | | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.29  | | | | |         op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 193.45/31.29  | | | | |         $i(all_57_12)
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | ALPHA: (48) implies:
% 193.45/31.29  | | | | |   (49)  op(e2, e3) = e2
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | REF_CLOSE: (4), (9), (14), (32), (34), (37), (41), (49) are
% 193.45/31.29  | | | | |            inconsistent by sub-proof #22.
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | End of split
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | Case 2:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | |   (50)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.29  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.45/31.29  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.29  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 193.45/31.29  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.29  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 193.45/31.29  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | REF_CLOSE: (9), (26), (39), (50) are inconsistent by sub-proof #141.
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | End of split
% 193.45/31.29  | | | 
% 193.45/31.29  | | Case 2:
% 193.45/31.29  | | | 
% 193.45/31.29  | | |   (51)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.29  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.45/31.29  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.45/31.29  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 193.45/31.29  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 193.45/31.29  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.29  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.45/31.29  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.45/31.29  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 193.45/31.29  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 193.45/31.29  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 193.45/31.29  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 193.45/31.29  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 193.45/31.29  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.29  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.29  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.29  | | | 
% 193.45/31.29  | | | BETA: splitting (51) gives:
% 193.45/31.29  | | | 
% 193.45/31.29  | | | Case 1:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | |   (52)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.29  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.45/31.29  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.45/31.29  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.45/31.29  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 193.45/31.29  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.29  | | | |           $i(all_57_5) & $i(all_57_10))
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | REF_CLOSE: (1), (9), (10), (20), (52) are inconsistent by sub-proof
% 193.45/31.29  | | | |            #128.
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | Case 2:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | |   (53)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.29  | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 193.45/31.29  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.29  | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 193.45/31.29  | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.45/31.29  | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 193.45/31.29  | | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.45/31.29  | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 193.45/31.29  | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.45/31.29  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | REF_CLOSE: (9), (11), (15), (33), (39), (53) are inconsistent by
% 193.45/31.29  | | | |            sub-proof #127.
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | End of split
% 193.45/31.29  | | | 
% 193.45/31.29  | | End of split
% 193.45/31.29  | | 
% 193.45/31.29  | Case 2:
% 193.45/31.29  | | 
% 193.45/31.29  | |   (54)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 193.45/31.29  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.45/31.29  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 193.45/31.29  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 193.45/31.29  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 193.45/31.29  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 193.45/31.29  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 193.45/31.29  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.45/31.29  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.45/31.29  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.45/31.29  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.29  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.29  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 193.45/31.29  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 193.45/31.29  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.29  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.45/31.29  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.45/31.29  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 193.45/31.29  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.45/31.29  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.45/31.29  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 193.45/31.29  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 193.45/31.29  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 193.45/31.29  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.29  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 193.45/31.29  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.45/31.29  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 193.45/31.29  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.45/31.29  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.29  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 193.45/31.29  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 193.45/31.29  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.45/31.29  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.29  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.45/31.29  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.29  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 193.45/31.29  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 193.45/31.29  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.29  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.45/31.29  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.45/31.29  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.45/31.29  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.29  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.29  | |               $i(all_57_7))))
% 193.45/31.29  | | 
% 193.45/31.29  | | BETA: splitting (54) gives:
% 193.45/31.29  | | 
% 193.45/31.29  | | Case 1:
% 193.45/31.29  | | | 
% 193.45/31.29  | | |   (55)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.29  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.29  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.29  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 193.45/31.29  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.45/31.29  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.29  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 193.45/31.29  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.45/31.29  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 193.45/31.29  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 193.45/31.29  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 193.45/31.29  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.45/31.29  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 193.45/31.29  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.45/31.29  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.29  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.29  | | |           $i(all_57_13))
% 193.45/31.29  | | | 
% 193.45/31.29  | | | BETA: splitting (55) gives:
% 193.45/31.29  | | | 
% 193.45/31.29  | | | Case 1:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | |   (56)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.29  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.29  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.29  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 193.45/31.29  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 193.45/31.29  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 193.45/31.29  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | BETA: splitting (56) gives:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | Case 1:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | |   (57)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.29  | | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.29  | | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.29  | | | | |         $i(all_57_10)
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | ALPHA: (57) implies:
% 193.45/31.29  | | | | |   (58)  op(e3, e1) = e3
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | REF_CLOSE: (9), (18), (38), (58) are inconsistent by sub-proof #1759.
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | Case 2:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | |   (59)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.45/31.29  | | | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.29  | | | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.45/31.29  | | | | |         $i(all_57_12)
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | ALPHA: (59) implies:
% 193.45/31.29  | | | | |   (60)  op(e3, e3) = e1
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | REF_CLOSE: (5), (7), (8), (9), (27), (28), (29), (33), (40), (42),
% 193.45/31.29  | | | | |            (60) are inconsistent by sub-proof #1850.
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | End of split
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | Case 2:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | |   (61)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.29  | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.29  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.29  | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 193.45/31.29  | | | |           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.45/31.29  | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 193.45/31.29  | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 193.45/31.29  | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.45/31.29  | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 193.45/31.29  | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | BETA: splitting (61) gives:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | Case 1:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | |   (62)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.29  | | | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.29  | | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.29  | | | | |         $i(all_57_12)
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | ALPHA: (62) implies:
% 193.45/31.29  | | | | |   (63)  all_57_7 = e2
% 193.45/31.29  | | | | |   (64)   ~ (all_57_12 = e1)
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | REF_CLOSE: (24), (63), (64) are inconsistent by sub-proof #1892.
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | Case 2:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | |   (65)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.45/31.29  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 193.45/31.29  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.29  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 193.45/31.29  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 193.45/31.29  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 193.45/31.29  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | REF_CLOSE: (2), (9), (65) are inconsistent by sub-proof #407.
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | End of split
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | End of split
% 193.45/31.29  | | | 
% 193.45/31.29  | | Case 2:
% 193.45/31.29  | | | 
% 193.45/31.29  | | |   (66)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.45/31.29  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.29  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.29  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.45/31.29  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.45/31.29  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.45/31.29  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 193.45/31.29  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.45/31.29  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 193.45/31.29  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 193.45/31.29  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.45/31.29  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 193.45/31.29  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.45/31.29  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.45/31.29  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.29  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.29  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.45/31.29  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.29  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 193.45/31.29  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.29  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 193.45/31.29  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.29  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 193.45/31.29  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.29  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.29  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 193.45/31.29  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.45/31.29  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.29  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.45/31.29  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.29  | | | 
% 193.45/31.29  | | | BETA: splitting (66) gives:
% 193.45/31.29  | | | 
% 193.45/31.29  | | | Case 1:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | |   (67)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.45/31.29  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.29  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.29  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 193.45/31.29  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.45/31.29  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 193.45/31.29  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | BETA: splitting (67) gives:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | Case 1:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | |   (68)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.45/31.29  | | | | |         (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.29  | | | | |         op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.29  | | | | |         $i(all_57_12)
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | ALPHA: (68) implies:
% 193.45/31.29  | | | | |   (69)   ~ (all_57_9 = e3)
% 193.45/31.29  | | | | |   (70)  op(e3, e0) = all_57_9
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | REF_CLOSE: (6), (9), (17), (35), (69), (70) are inconsistent by
% 193.45/31.29  | | | | |            sub-proof #362.
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | Case 2:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | |   (71)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 193.45/31.29  | | | | |         (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.29  | | | | |         op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.29  | | | | |         $i(all_57_14)
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | ALPHA: (71) implies:
% 193.45/31.29  | | | | |   (72)   ~ (all_57_9 = e3)
% 193.45/31.29  | | | | |   (73)  op(e3, e0) = all_57_9
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | REF_CLOSE: (6), (9), (17), (35), (72), (73) are inconsistent by
% 193.45/31.29  | | | | |            sub-proof #362.
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | End of split
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | Case 2:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | |   (74)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 193.45/31.29  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.45/31.29  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.29  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 193.45/31.29  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.45/31.29  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 193.45/31.29  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 193.45/31.29  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 193.45/31.29  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.29  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.29  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.45/31.29  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.29  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.29  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.29  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.45/31.29  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.29  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.29  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 193.45/31.29  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.45/31.29  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 193.45/31.29  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 193.45/31.29  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.29  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 193.45/31.29  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | BETA: splitting (74) gives:
% 193.45/31.29  | | | | 
% 193.45/31.29  | | | | Case 1:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | |   (75)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 193.45/31.29  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.45/31.29  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.29  | | | | |         $i(all_57_13)
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | ALPHA: (75) implies:
% 193.45/31.29  | | | | |   (76)  op(e1, e1) = e0
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | REF_CLOSE: (8), (9), (12), (13), (25), (27), (30), (33), (39), (40),
% 193.45/31.29  | | | | |            (42), (76) are inconsistent by sub-proof #1551.
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | Case 2:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | |   (77)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.45/31.29  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.29  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.29  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.29  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.29  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 193.45/31.29  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 193.45/31.29  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.45/31.29  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.29  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.45/31.29  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 193.45/31.29  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.29  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 193.45/31.29  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.29  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.29  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.29  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 193.45/31.29  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.29  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.29  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 193.45/31.29  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.29  | | | | |               $i(all_57_7))))
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | BETA: splitting (77) gives:
% 193.45/31.29  | | | | | 
% 193.45/31.29  | | | | | Case 1:
% 193.45/31.29  | | | | | | 
% 193.45/31.29  | | | | | |   (78)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.45/31.29  | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.29  | | | | | |         & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.29  | | | | | |         $i(all_57_14)
% 193.45/31.29  | | | | | | 
% 193.45/31.29  | | | | | | ALPHA: (78) implies:
% 193.45/31.29  | | | | | |   (79)  op(e1, e0) = e1
% 193.45/31.29  | | | | | | 
% 193.45/31.29  | | | | | | REF_CLOSE: (3), (9), (27), (79) are inconsistent by sub-proof #312.
% 193.45/31.29  | | | | | | 
% 193.45/31.29  | | | | | Case 2:
% 193.45/31.29  | | | | | | 
% 193.45/31.29  | | | | | |   (80)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.45/31.29  | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.29  | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 193.45/31.29  | | | | | |               e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.45/31.29  | | | | | |             = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 193.45/31.29  | | | | | |               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.29  | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.29  | | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.29  | | | | | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.29  | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 193.45/31.29  | | | | | |             (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.29  | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.29  | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.29  | | | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 193.45/31.29  | | | | | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.29  | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.29  | | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 193.45/31.29  | | | | | |             & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.29  | | | | | |             $i(all_57_7)))
% 193.45/31.29  | | | | | | 
% 193.45/31.29  | | | | | | ALPHA: (80) implies:
% 193.45/31.30  | | | | | |   (81)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.30  | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 193.45/31.30  | | | | | |           & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 193.45/31.30  | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.45/31.30  | | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 193.45/31.30  | | | | | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.30  | | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.45/31.30  | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.30  | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.30  | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 193.45/31.30  | | | | | |           & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.45/31.30  | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 193.45/31.30  | | | | | |           & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 193.45/31.30  | | | | | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.30  | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 193.45/31.30  | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.30  | | | | | | 
% 193.45/31.30  | | | | | | BETA: splitting (81) gives:
% 193.45/31.30  | | | | | | 
% 193.45/31.30  | | | | | | Case 1:
% 193.45/31.30  | | | | | | | 
% 193.45/31.30  | | | | | | |   (82)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.30  | | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 193.45/31.30  | | | | | | |           e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 193.45/31.30  | | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.45/31.30  | | | | | | |             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.30  | | | | | | |             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.45/31.30  | | | | | | |           = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 193.45/31.30  | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.30  | | | | | | |           $i(all_57_3))
% 193.45/31.30  | | | | | | | 
% 193.45/31.30  | | | | | | | REF_CLOSE: (2), (9), (19), (34), (40), (82) are inconsistent by
% 193.45/31.30  | | | | | | |            sub-proof #38.
% 193.45/31.30  | | | | | | | 
% 193.45/31.30  | | | | | | Case 2:
% 193.45/31.30  | | | | | | | 
% 193.45/31.30  | | | | | | |   (83)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.30  | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.45/31.30  | | | | | | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.45/31.30  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.45/31.30  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.45/31.30  | | | | | | |             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.45/31.30  | | | | | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 193.45/31.30  | | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.30  | | | | | | |           $i(all_57_7))
% 193.45/31.30  | | | | | | | 
% 193.45/31.30  | | | | | | | BETA: splitting (83) gives:
% 193.45/31.30  | | | | | | | 
% 193.45/31.30  | | | | | | | Case 1:
% 193.45/31.30  | | | | | | | | 
% 193.45/31.30  | | | | | | | |   (84)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.30  | | | | | | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.45/31.30  | | | | | | | |         e2 & op(e0, e2) = e0 & $i(all_57_4)
% 193.45/31.30  | | | | | | | | 
% 193.45/31.30  | | | | | | | | ALPHA: (84) implies:
% 193.45/31.30  | | | | | | | |   (85)  op(e1, e1) = e2
% 193.45/31.30  | | | | | | | | 
% 193.45/31.30  | | | | | | | | REF_CLOSE: (9), (16), (22), (23), (31), (36), (85) are
% 193.45/31.30  | | | | | | | |            inconsistent by sub-proof #210.
% 193.45/31.30  | | | | | | | | 
% 193.45/31.30  | | | | | | | Case 2:
% 193.45/31.30  | | | | | | | | 
% 193.45/31.30  | | | | | | | |   (86)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 193.45/31.30  | | | | | | | |           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.45/31.30  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 193.45/31.30  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.30  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.30  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.30  | | | | | | | | 
% 193.45/31.30  | | | | | | | | BETA: splitting (86) gives:
% 193.45/31.30  | | | | | | | | 
% 193.45/31.30  | | | | | | | | Case 1:
% 193.45/31.30  | | | | | | | | | 
% 193.45/31.30  | | | | | | | | |   (87)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 193.45/31.30  | | | | | | | | |         ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.45/31.30  | | | | | | | | |         all_57_6 & op(e0, e1) = e0 & $i(all_57_6)
% 193.45/31.30  | | | | | | | | | 
% 193.45/31.30  | | | | | | | | | ALPHA: (87) implies:
% 193.45/31.30  | | | | | | | | |   (88)  op(e3, e3) = e1
% 193.45/31.30  | | | | | | | | | 
% 193.45/31.30  | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (27), (28), (29), (33), (40),
% 193.45/31.30  | | | | | | | | |            (42), (88) are inconsistent by sub-proof #1850.
% 193.45/31.30  | | | | | | | | | 
% 193.45/31.30  | | | | | | | | Case 2:
% 193.45/31.30  | | | | | | | | | 
% 193.45/31.30  | | | | | | | | |   (89)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 193.45/31.30  | | | | | | | | |         ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.30  | | | | | | | | |         all_57_7 & op(e0, e1) = e0 & $i(all_57_7)
% 193.45/31.30  | | | | | | | | | 
% 193.45/31.30  | | | | | | | | | ALPHA: (89) implies:
% 193.45/31.30  | | | | | | | | |   (90)  op(e2, e2) = e1
% 193.45/31.30  | | | | | | | | | 
% 193.45/31.30  | | | | | | | | | REF_CLOSE: (9), (11), (39), (90) are inconsistent by sub-proof
% 193.45/31.30  | | | | | | | | |            #1679.
% 193.45/31.30  | | | | | | | | | 
% 193.45/31.30  | | | | | | | | End of split
% 193.45/31.30  | | | | | | | | 
% 193.45/31.30  | | | | | | | End of split
% 193.45/31.30  | | | | | | | 
% 193.45/31.30  | | | | | | End of split
% 193.45/31.30  | | | | | | 
% 193.45/31.30  | | | | | End of split
% 193.45/31.30  | | | | | 
% 193.45/31.30  | | | | End of split
% 193.45/31.30  | | | | 
% 193.45/31.30  | | | End of split
% 193.45/31.30  | | | 
% 193.45/31.30  | | End of split
% 193.45/31.30  | | 
% 193.45/31.30  | End of split
% 193.45/31.30  | 
% 193.45/31.30  End of proof
% 193.45/31.30  
% 193.45/31.30  Sub-proof #21 shows that the following formulas are inconsistent:
% 193.45/31.30  ----------------------------------------------------------------
% 193.45/31.30    (1)   ~ (all_52_3 = e1)
% 193.45/31.30    (2)  op(e0, e0) = e1
% 193.45/31.30    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.30    (4)  all_54_12 = all_52_3
% 193.45/31.30    (5)  op(e0, e2) = e0
% 193.45/31.30    (6)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.45/31.30    (7)   ~ (e2 = e1)
% 193.45/31.30    (8)   ~ (all_52_3 = e0)
% 193.45/31.30    (9)   ~ (all_52_1 = all_52_3)
% 193.45/31.30    (10)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.45/31.30            op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.45/31.30            $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 193.45/31.30                  e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 193.45/31.30                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.45/31.30                $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3
% 193.45/31.30            & op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2,
% 193.45/31.30              e2) = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.30                (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.30            ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.45/31.30                = all_57_2 & $i(all_57_2))))
% 193.45/31.30    (11)  op(e2, e3) = all_52_1
% 193.45/31.30  
% 193.45/31.30  Begin of proof
% 193.45/31.30  | 
% 193.45/31.30  | BETA: splitting (10) gives:
% 193.45/31.30  | 
% 193.45/31.30  | Case 1:
% 193.45/31.30  | | 
% 193.45/31.30  | |   (12)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.45/31.30  | |         op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.45/31.30  | |         $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 193.45/31.30  | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 =
% 193.45/31.30  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.45/31.30  | |             all_57_5 & $i(all_57_5)))
% 193.45/31.30  | | 
% 193.45/31.30  | | ALPHA: (12) implies:
% 193.45/31.30  | |   (13)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.30  | |             e2) = all_57_5 & $i(all_57_5))
% 193.45/31.30  | | 
% 193.45/31.30  | | REF_CLOSE: (2), (3), (5), (7), (13) are inconsistent by sub-proof #283.
% 193.45/31.30  | | 
% 193.45/31.30  | Case 2:
% 193.45/31.30  | | 
% 193.45/31.30  | |   (14)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 193.45/31.30  | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.30  | |         $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 193.45/31.30  | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 193.45/31.30  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.45/31.30  | |             all_57_2 & $i(all_57_2)))
% 193.45/31.30  | | 
% 193.45/31.30  | | ALPHA: (14) implies:
% 193.45/31.30  | |   (15)  op(e2, e3) = e2
% 193.45/31.30  | | 
% 193.45/31.30  | | REF_CLOSE: (1), (3), (4), (6), (8), (9), (11), (15) are inconsistent by
% 193.45/31.30  | |            sub-proof #22.
% 193.45/31.30  | | 
% 193.45/31.30  | End of split
% 193.45/31.30  | 
% 193.45/31.30  End of proof
% 193.45/31.30  
% 193.45/31.30  Sub-proof #22 shows that the following formulas are inconsistent:
% 193.45/31.30  ----------------------------------------------------------------
% 193.45/31.30    (1)   ~ (all_52_3 = e1)
% 193.45/31.30    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.30    (3)  all_54_12 = all_52_3
% 193.45/31.30    (4)  op(e2, e3) = e2
% 193.45/31.30    (5)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.45/31.30    (6)   ~ (all_52_3 = e0)
% 193.45/31.30    (7)   ~ (all_52_1 = all_52_3)
% 193.45/31.30    (8)  op(e2, e3) = all_52_1
% 193.45/31.30  
% 193.45/31.30  Begin of proof
% 193.45/31.30  | 
% 193.45/31.30  | BETA: splitting (5) gives:
% 193.45/31.30  | 
% 193.45/31.30  | Case 1:
% 193.45/31.30  | | 
% 193.45/31.30  | |   (9)  all_54_12 = e2
% 193.45/31.30  | | 
% 193.45/31.30  | | COMBINE_EQS: (3), (9) imply:
% 193.45/31.30  | |   (10)  all_52_3 = e2
% 193.45/31.30  | | 
% 193.45/31.30  | | REDUCE: (7), (10) imply:
% 193.45/31.30  | |   (11)   ~ (all_52_1 = e2)
% 193.45/31.30  | | 
% 193.45/31.30  | | REF_CLOSE: (2), (4), (8), (11) are inconsistent by sub-proof #1785.
% 193.45/31.30  | | 
% 193.45/31.30  | Case 2:
% 193.45/31.30  | | 
% 193.45/31.30  | |   (12)  all_54_12 = e1 | all_54_12 = e0
% 193.45/31.30  | | 
% 193.45/31.30  | | REF_CLOSE: (1), (3), (6), (12) are inconsistent by sub-proof #845.
% 193.45/31.30  | | 
% 193.45/31.30  | End of split
% 193.45/31.30  | 
% 193.45/31.30  End of proof
% 193.45/31.30  
% 193.45/31.30  Sub-proof #23 shows that the following formulas are inconsistent:
% 193.45/31.30  ----------------------------------------------------------------
% 193.45/31.30    (1)  op(e3, e3) = e0
% 193.45/31.30    (2)   ~ (all_52_14 = e0)
% 193.45/31.30    (3)   ~ (e3 = e2)
% 193.45/31.30    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.30    (5)  op(e2, e2) = e3
% 193.45/31.30    (6)  op(e2, e0) = e2
% 193.45/31.30    (7)  op(e1, e0) = all_52_14
% 193.45/31.30    (8)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.45/31.30           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.45/31.30           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.45/31.30                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 193.45/31.30               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.45/31.30               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 193.45/31.30           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 193.45/31.30             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.30               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.30           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.30               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 193.45/31.30           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.45/31.30           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 193.45/31.30               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.30               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.30               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.30         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 193.45/31.30           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.45/31.30           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 193.45/31.30               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 193.45/31.30             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.45/31.30         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.45/31.30             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.30           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.45/31.30               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.45/31.30             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.30         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.45/31.30             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.30           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.30               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.45/31.30             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.30         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.45/31.30             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.30           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 193.45/31.30               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 193.45/31.30             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.30         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 193.45/31.30             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.30           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 193.45/31.30               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 193.45/31.30             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.30    (9)  op(e0, e2) = e0
% 193.45/31.30    (10)  op(e1, e1) = e0
% 193.45/31.30    (11)   ~ (e1 = e0)
% 193.45/31.30    (12)  op(e0, e0) = e3
% 193.45/31.30    (13)   ~ (e2 = e0)
% 193.45/31.30    (14)   ~ (e3 = e0)
% 193.45/31.30  
% 193.45/31.30  Begin of proof
% 193.45/31.30  | 
% 193.45/31.30  | BETA: splitting (8) gives:
% 193.45/31.30  | 
% 193.45/31.30  | Case 1:
% 193.45/31.30  | | 
% 193.45/31.30  | |   (15)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.45/31.30  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.45/31.30  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.30  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.30  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.45/31.30  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 193.45/31.30  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 193.45/31.30  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.45/31.30  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 193.45/31.30  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 193.45/31.30  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.30  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 193.45/31.30  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.45/31.30  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 193.45/31.30  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.30  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.30  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.30  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 193.45/31.30  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.45/31.30  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.30  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.30  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 193.45/31.30  | |                 e1) = all_57_7 & $i(all_57_7))))
% 193.45/31.30  | | 
% 193.45/31.30  | | BETA: splitting (15) gives:
% 193.45/31.30  | | 
% 193.45/31.30  | | Case 1:
% 193.45/31.30  | | | 
% 193.45/31.30  | | |   (16)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 193.45/31.30  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.45/31.30  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.30  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.30  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.45/31.30  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 193.45/31.30  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.30  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.45/31.30  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.30  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.30  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.45/31.30  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.45/31.30  | | | 
% 193.45/31.30  | | | REF_CLOSE: (3), (4), (9), (12), (13), (16) are inconsistent by sub-proof
% 193.45/31.30  | | |            #304.
% 193.45/31.30  | | | 
% 193.45/31.30  | | Case 2:
% 193.45/31.30  | | | 
% 193.45/31.30  | | |   (17)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 193.45/31.30  | | |           & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 193.45/31.30  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.30  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.30  | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 193.45/31.30  | | |               op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 193.45/31.30  | | |           all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.30  | | |           op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.45/31.30  | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.30  | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.30  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.45/31.30  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.45/31.30  | | | 
% 193.45/31.30  | | | REF_CLOSE: (2), (4), (5), (6), (7), (14), (17) are inconsistent by
% 193.45/31.30  | | |            sub-proof #96.
% 193.45/31.30  | | | 
% 193.45/31.30  | | End of split
% 193.45/31.30  | | 
% 193.45/31.30  | Case 2:
% 193.45/31.30  | | 
% 193.45/31.30  | |   (18)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.30  | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.45/31.30  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.30  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.30  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.45/31.30  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 193.45/31.30  | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 193.45/31.30  | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 193.45/31.30  | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.45/31.30  | |               all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 193.45/31.30  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.45/31.30  | |               $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 193.45/31.30  | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 193.45/31.30  | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 193.45/31.30  | |                 e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.30  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.45/31.30  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.30  | |         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 193.45/31.30  | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.30  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.30  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 193.45/31.30  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.45/31.30  | |               op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.30  | | 
% 193.45/31.30  | | BETA: splitting (18) gives:
% 193.45/31.30  | | 
% 193.45/31.30  | | Case 1:
% 193.45/31.30  | | | 
% 193.45/31.30  | | |   (19)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 193.45/31.30  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.45/31.30  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.30  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.30  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.30  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 193.45/31.30  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.30  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.30  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.45/31.30  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.45/31.30  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.45/31.30  | | |               all_57_5 & $i(all_57_5))))
% 193.45/31.30  | | | 
% 193.45/31.30  | | | REF_CLOSE: (1), (3), (4), (9), (12), (14), (19) are inconsistent by
% 193.45/31.30  | | |            sub-proof #298.
% 193.45/31.30  | | | 
% 193.45/31.30  | | Case 2:
% 193.45/31.30  | | | 
% 193.45/31.30  | | |   (20)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3)
% 193.45/31.30  | | |               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.30  | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.30  | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 193.45/31.30  | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 193.45/31.30  | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 193.45/31.30  | | |           op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.30  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.30  | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 193.45/31.30  | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 193.45/31.30  | | |               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.45/31.30  | | |               all_57_13 & $i(all_57_13))))
% 193.45/31.30  | | | 
% 193.45/31.30  | | | REF_CLOSE: (4), (5), (6), (10), (11), (14), (20) are inconsistent by
% 193.45/31.30  | | |            sub-proof #108.
% 193.45/31.30  | | | 
% 193.45/31.30  | | End of split
% 193.45/31.30  | | 
% 193.45/31.30  | End of split
% 193.45/31.30  | 
% 193.45/31.30  End of proof
% 193.45/31.30  
% 193.45/31.30  Sub-proof #24 shows that the following formulas are inconsistent:
% 193.45/31.30  ----------------------------------------------------------------
% 193.45/31.30    (1)   ~ (e3 = e2)
% 193.45/31.30    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.30    (3)  op(e2, e2) = e3
% 193.45/31.30    (4)  op(e0, e2) = e0
% 193.45/31.30    (5)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 193.45/31.30           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 193.45/31.30           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 193.45/31.30                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 193.45/31.30               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 193.45/31.30               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.45/31.30           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 193.45/31.30           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.30               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.30           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 193.45/31.30               = all_57_5 & $i(all_57_5))))
% 193.45/31.30    (6)  op(e0, e0) = e3
% 193.45/31.30    (7)   ~ (e3 = e1)
% 193.45/31.30  
% 193.45/31.30  Begin of proof
% 193.45/31.30  | 
% 193.45/31.30  | BETA: splitting (5) gives:
% 193.45/31.30  | 
% 193.45/31.30  | Case 1:
% 193.45/31.30  | | 
% 193.45/31.30  | |   (8)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 193.45/31.30  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 193.45/31.30  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 193.45/31.30  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 193.45/31.30  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 193.45/31.30  | |            & $i(all_57_8)))
% 193.45/31.30  | | 
% 193.45/31.30  | | ALPHA: (8) implies:
% 193.45/31.30  | |   (9)  op(e2, e2) = e1
% 193.45/31.30  | | 
% 193.45/31.30  | | REF_CLOSE: (2), (3), (7), (9) are inconsistent by sub-proof #1679.
% 193.45/31.30  | | 
% 193.45/31.30  | Case 2:
% 193.45/31.30  | | 
% 193.45/31.30  | |   (10)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 193.45/31.30  | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.45/31.30  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 193.45/31.30  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 193.45/31.30  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.45/31.30  | |             all_57_5 & $i(all_57_5)))
% 193.45/31.30  | | 
% 193.45/31.30  | | ALPHA: (10) implies:
% 193.45/31.30  | |   (11)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.30  | |             e2) = all_57_5 & $i(all_57_5))
% 193.45/31.30  | | 
% 193.45/31.30  | | REF_CLOSE: (1), (2), (4), (6), (11) are inconsistent by sub-proof #1028.
% 193.45/31.30  | | 
% 193.45/31.30  | End of split
% 193.45/31.30  | 
% 193.45/31.30  End of proof
% 193.45/31.30  
% 193.45/31.30  Sub-proof #25 shows that the following formulas are inconsistent:
% 193.45/31.30  ----------------------------------------------------------------
% 193.45/31.30    (1)   ~ (e3 = e2)
% 193.45/31.30    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.30    (3)  op(e2, e0) = e2
% 193.45/31.30    (4)  op(e2, e0) = all_52_13
% 193.45/31.30    (5)  op(e0, e2) = e0
% 193.45/31.30    (6)   ~ (all_52_1 = all_52_13)
% 193.45/31.30    (7)  op(e0, e0) = e3
% 193.45/31.31    (8)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.45/31.31           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.45/31.31           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 193.45/31.31                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.45/31.31               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.45/31.31               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.31           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 193.45/31.31           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.31               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.31           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.45/31.31               = all_57_2 & $i(all_57_2))))
% 193.45/31.31    (9)  op(e2, e3) = all_52_1
% 193.45/31.31  
% 193.45/31.31  Begin of proof
% 193.45/31.31  | 
% 193.45/31.31  | BETA: splitting (8) gives:
% 193.45/31.31  | 
% 193.45/31.31  | Case 1:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (10)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.45/31.31  | |         op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.45/31.31  | |         $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 193.45/31.31  | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 =
% 193.45/31.31  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.45/31.31  | |             all_57_5 & $i(all_57_5)))
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (10) implies:
% 193.45/31.31  | |   (11)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.31  | |             e2) = all_57_5 & $i(all_57_5))
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (1), (2), (5), (7), (11) are inconsistent by sub-proof #1028.
% 193.45/31.31  | | 
% 193.45/31.31  | Case 2:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (12)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 193.45/31.31  | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.31  | |         $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 193.45/31.31  | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 193.45/31.31  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.45/31.31  | |             all_57_2 & $i(all_57_2)))
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (12) implies:
% 193.45/31.31  | |   (13)  op(e2, e3) = e2
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (2), (3), (4), (6), (9), (13) are inconsistent by sub-proof #34.
% 193.45/31.31  | | 
% 193.45/31.31  | End of split
% 193.45/31.31  | 
% 193.45/31.31  End of proof
% 193.45/31.31  
% 193.45/31.31  Sub-proof #26 shows that the following formulas are inconsistent:
% 193.45/31.31  ----------------------------------------------------------------
% 193.45/31.31    (1)  op(e3, e3) = e0
% 193.45/31.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.31    (3)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 193.45/31.31           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 193.45/31.31           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 193.45/31.31                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 193.45/31.31               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 193.45/31.31               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.31           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 193.45/31.31           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.45/31.31               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.31           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.45/31.31               = all_57_2 & $i(all_57_2))))
% 193.45/31.31    (4)  op(e1, e3) = e3
% 193.45/31.31    (5)   ~ (e1 = e0)
% 193.45/31.31    (6)   ~ (e3 = e1)
% 193.45/31.31  
% 193.45/31.31  Begin of proof
% 193.45/31.31  | 
% 193.45/31.31  | BETA: splitting (3) gives:
% 193.45/31.31  | 
% 193.45/31.31  | Case 1:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 193.45/31.31  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 193.45/31.31  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 193.45/31.31  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 193.45/31.31  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 193.45/31.31  | |            & $i(all_57_8)))
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (7) implies:
% 193.45/31.31  | |   (8)  op(e3, e3) = e1
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1937.
% 193.45/31.31  | | 
% 193.45/31.31  | Case 2:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 193.45/31.31  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.45/31.31  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 193.45/31.31  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.45/31.31  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 193.45/31.31  | |            & $i(all_57_2)))
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (9) implies:
% 193.45/31.31  | |   (10)  op(e1, e3) = e1
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #142.
% 193.45/31.31  | | 
% 193.45/31.31  | End of split
% 193.45/31.31  | 
% 193.45/31.31  End of proof
% 193.45/31.31  
% 193.45/31.31  Sub-proof #27 shows that the following formulas are inconsistent:
% 193.45/31.31  ----------------------------------------------------------------
% 193.45/31.31    (1)  op(e3, e3) = e0
% 193.45/31.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.31    (3)  op(e0, e0) = all_57_15
% 193.45/31.31    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.31             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.31           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 193.45/31.31           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.31             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.31           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.31           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.45/31.31    (5)  op(e0, e0) = e3
% 193.45/31.31    (6)   ~ (e2 = e0)
% 193.45/31.31  
% 193.45/31.31  Begin of proof
% 193.45/31.31  | 
% 193.45/31.31  | BETA: splitting (4) gives:
% 193.45/31.31  | 
% 193.45/31.31  | Case 1:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (7)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.31  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.31  | |        $i(all_57_0)
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (7) implies:
% 193.45/31.31  | |   (8)   ~ (all_57_15 = e3)
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1276.
% 193.45/31.31  | | 
% 193.45/31.31  | Case 2:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (9)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 193.45/31.31  | |            = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0
% 193.45/31.31  | |          & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.45/31.31  | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.31  | |          all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (1), (2), (3), (5), (6), (9) are inconsistent by sub-proof #300.
% 193.45/31.31  | | 
% 193.45/31.31  | End of split
% 193.45/31.31  | 
% 193.45/31.31  End of proof
% 193.45/31.31  
% 193.45/31.31  Sub-proof #28 shows that the following formulas are inconsistent:
% 193.45/31.31  ----------------------------------------------------------------
% 193.45/31.31    (1)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 193.45/31.31             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 193.45/31.31           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.45/31.31         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 193.45/31.31             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 193.45/31.31           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.45/31.31    (2)  op(e3, e0) = e3
% 193.45/31.31    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.31    (4)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 193.45/31.31           $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 193.45/31.31           & $i(all_8_1))
% 193.45/31.31    (5)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 193.45/31.31           $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 193.45/31.31           & $i(all_6_1))
% 193.45/31.31  
% 193.45/31.31  Begin of proof
% 193.45/31.31  | 
% 193.45/31.31  | BETA: splitting (1) gives:
% 193.45/31.31  | 
% 193.45/31.31  | Case 1:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (6)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 193.45/31.31  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 193.45/31.31  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (6) implies:
% 193.45/31.31  | |   (7)   ~ (all_57_9 = e3)
% 193.45/31.31  | |   (8)  op(e3, e0) = all_57_9
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (2), (3), (4), (5), (7), (8) are inconsistent by sub-proof #360.
% 193.45/31.31  | | 
% 193.45/31.31  | Case 2:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (9)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 193.45/31.31  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 193.45/31.31  | |        all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (9) implies:
% 193.45/31.31  | |   (10)   ~ (all_57_9 = e3)
% 193.45/31.31  | |   (11)  op(e3, e0) = all_57_9
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (2), (3), (4), (5), (10), (11) are inconsistent by sub-proof
% 193.45/31.31  | |            #360.
% 193.45/31.31  | | 
% 193.45/31.31  | End of split
% 193.45/31.31  | 
% 193.45/31.31  End of proof
% 193.45/31.31  
% 193.45/31.31  Sub-proof #29 shows that the following formulas are inconsistent:
% 193.45/31.31  ----------------------------------------------------------------
% 193.45/31.31    (1)  op(e3, e3) = e0
% 193.45/31.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.31    (3)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 193.45/31.31    (4)   ~ (all_52_1 = e3)
% 193.45/31.31    (5)  op(e2, e3) = all_52_1
% 193.45/31.31    (6)   ~ (e3 = e0)
% 193.45/31.31  
% 193.45/31.31  Begin of proof
% 193.45/31.31  | 
% 193.45/31.31  | BETA: splitting (3) gives:
% 193.45/31.31  | 
% 193.45/31.31  | Case 1:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (7) implies:
% 193.45/31.31  | |   (8)  op(e3, e3) = e3
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1961.
% 193.45/31.31  | | 
% 193.45/31.31  | Case 2:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (9)  all_56_2 = e3 & op(e2, e3) = e3
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #223.
% 193.45/31.31  | | 
% 193.45/31.31  | End of split
% 193.45/31.31  | 
% 193.45/31.31  End of proof
% 193.45/31.31  
% 193.45/31.31  Sub-proof #30 shows that the following formulas are inconsistent:
% 193.45/31.31  ----------------------------------------------------------------
% 193.45/31.31    (1)  op(e3, e3) = e0
% 193.45/31.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.31    (3)   ~ (all_52_7 = all_52_11)
% 193.45/31.31    (4)  op(e0, e3) = all_52_3
% 193.45/31.31    (5)  op(e0, e2) = e0
% 193.45/31.31    (6)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.45/31.31             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.31           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 193.45/31.31           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.45/31.31             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.31           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.31           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.31    (7)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.31             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.31           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 193.45/31.31           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.31             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.31           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.31           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.31           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 193.45/31.31           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.45/31.31           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 193.45/31.31           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.45/31.31         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.31             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.31           $i(all_57_7))
% 193.45/31.31    (8)  op(e0, e1) = all_52_11
% 193.45/31.31    (9)  op(e1, e1) = e0
% 193.45/31.31    (10)   ~ (e1 = e0)
% 193.45/31.31    (11)   ~ (e2 = e1)
% 193.45/31.31    (12)   ~ (all_52_11 = e0)
% 193.45/31.31    (13)   ~ (all_52_3 = e0)
% 193.45/31.31    (14)   ~ (e3 = e1)
% 193.45/31.31    (15)  op(e0, e2) = all_52_7
% 193.45/31.31    (16)   ~ (e2 = e0)
% 193.45/31.31    (17)   ~ (e3 = e0)
% 193.45/31.31  
% 193.45/31.31  Begin of proof
% 193.45/31.31  | 
% 193.45/31.31  | BETA: splitting (6) gives:
% 193.45/31.31  | 
% 193.45/31.31  | Case 1:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (18)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.31  | |           = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.45/31.31  | |         & $i(all_57_4)
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (18) implies:
% 193.45/31.31  | |   (19)  op(e1, e1) = e2
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (2), (9), (16), (19) are inconsistent by sub-proof #1821.
% 193.45/31.31  | | 
% 193.45/31.31  | Case 2:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (20)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 193.45/31.31  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 193.45/31.31  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.31  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 193.45/31.31  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.31  | | 
% 193.45/31.31  | | BETA: splitting (20) gives:
% 193.45/31.31  | | 
% 193.45/31.31  | | Case 1:
% 193.45/31.31  | | | 
% 193.45/31.31  | | |   (21)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.45/31.31  | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.31  | | |         op(e0, e1) = e0 & $i(all_57_6)
% 193.45/31.31  | | | 
% 193.45/31.31  | | | ALPHA: (21) implies:
% 193.45/31.31  | | |   (22)  op(e3, e3) = e1
% 193.45/31.31  | | | 
% 193.45/31.31  | | | REF_CLOSE: (1), (2), (10), (22) are inconsistent by sub-proof #1937.
% 193.45/31.31  | | | 
% 193.45/31.31  | | Case 2:
% 193.45/31.31  | | | 
% 193.45/31.31  | | |   (23)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.31  | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.45/31.31  | | |         op(e0, e1) = e0 & $i(all_57_7)
% 193.45/31.31  | | | 
% 193.45/31.31  | | | ALPHA: (23) implies:
% 193.45/31.31  | | |   (24)  op(e2, e2) = e1
% 193.45/31.31  | | | 
% 193.45/31.31  | | | BETA: splitting (7) gives:
% 193.45/31.31  | | | 
% 193.45/31.31  | | | Case 1:
% 193.45/31.31  | | | | 
% 193.45/31.31  | | | |   (25)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.31  | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.45/31.31  | | | |           op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.45/31.31  | | | |           e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.31  | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.45/31.31  | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.31  | | | |           (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 193.45/31.31  | | | |           op(e0, e2) = e0 & $i(all_57_3))
% 193.45/31.31  | | | | 
% 193.45/31.31  | | | | REF_CLOSE: (1), (2), (4), (13), (14), (16), (24), (25) are inconsistent
% 193.45/31.31  | | | |            by sub-proof #278.
% 193.45/31.31  | | | | 
% 193.45/31.31  | | | Case 2:
% 193.45/31.31  | | | | 
% 193.45/31.31  | | | | 
% 193.45/31.31  | | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (11), (12), (14), (15),
% 193.45/31.31  | | | |            (16), (17), (24) are inconsistent by sub-proof #294.
% 193.45/31.31  | | | | 
% 193.45/31.31  | | | End of split
% 193.45/31.31  | | | 
% 193.45/31.31  | | End of split
% 193.45/31.31  | | 
% 193.45/31.31  | End of split
% 193.45/31.31  | 
% 193.45/31.31  End of proof
% 193.45/31.31  
% 193.45/31.31  Sub-proof #31 shows that the following formulas are inconsistent:
% 193.45/31.31  ----------------------------------------------------------------
% 193.45/31.31    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.31    (2)  op(e2, e2) = e3
% 193.45/31.31    (3)  op(e2, e0) = e2
% 193.45/31.31    (4)  op(e0, e3) = all_52_3
% 193.45/31.31    (5)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 193.45/31.31           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.45/31.31           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 193.45/31.31                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 193.45/31.31               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 193.45/31.31               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 193.45/31.31           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 193.45/31.31           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.45/31.31             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.31           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.45/31.31               = all_57_1 & $i(all_57_1))))
% 193.45/31.31    (6)   ~ (all_52_3 = e0)
% 193.45/31.31    (7)   ~ (e3 = e0)
% 193.45/31.31  
% 193.45/31.31  Begin of proof
% 193.45/31.31  | 
% 193.45/31.31  | BETA: splitting (5) gives:
% 193.45/31.31  | 
% 193.45/31.31  | Case 1:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (8)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 193.45/31.31  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.45/31.31  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 193.45/31.31  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 193.45/31.31  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.45/31.31  | |            all_57_13 & $i(all_57_13)))
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (8) implies:
% 193.45/31.31  | |   (9)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.45/31.31  | |            e0) = all_57_11 & $i(all_57_11))
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (1), (2), (3), (7), (9) are inconsistent by sub-proof #165.
% 193.45/31.31  | | 
% 193.45/31.31  | Case 2:
% 193.45/31.31  | | 
% 193.45/31.31  | |   (10)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 193.45/31.31  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.45/31.31  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 193.45/31.31  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 193.45/31.31  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.31  | |             all_57_1 & $i(all_57_1)))
% 193.45/31.31  | | 
% 193.45/31.31  | | ALPHA: (10) implies:
% 193.45/31.31  | |   (11)  op(e0, e3) = e0
% 193.45/31.31  | | 
% 193.45/31.31  | | REF_CLOSE: (1), (4), (6), (11) are inconsistent by sub-proof #1935.
% 193.45/31.31  | | 
% 193.45/31.31  | End of split
% 193.45/31.31  | 
% 193.45/31.31  End of proof
% 193.45/31.31  
% 193.45/31.31  Sub-proof #32 shows that the following formulas are inconsistent:
% 193.45/31.31  ----------------------------------------------------------------
% 193.45/31.31    (1)  op(e3, e3) = e0
% 193.45/31.31    (2)   ~ (all_52_14 = e0)
% 193.45/31.31    (3)   ~ (e3 = e2)
% 193.45/31.31    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.31    (5)  op(e2, e2) = e3
% 193.45/31.31    (6)  op(e2, e0) = e2
% 193.45/31.31    (7)  op(e1, e0) = all_52_14
% 193.45/31.31    (8)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.45/31.31           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.45/31.31           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.45/31.31                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 193.45/31.31               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.45/31.31               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 193.45/31.31           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 193.45/31.31             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.31               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.31           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.31               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 193.45/31.31           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.45/31.31           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 193.45/31.31               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.31               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.31               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.31         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 193.45/31.31           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.45/31.31           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 193.45/31.31               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 193.45/31.31             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.45/31.31         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.45/31.31             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.31           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.45/31.31               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.45/31.31             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.31         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.45/31.31             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.31           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.31               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.45/31.31             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.31         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.45/31.31             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.31           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 193.45/31.31               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 193.45/31.31             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.31         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 193.45/31.31             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.31           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 193.45/31.31               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 193.45/31.31             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.31    (9)  op(e0, e2) = e0
% 193.45/31.31    (10)  op(e1, e1) = e0
% 193.45/31.31    (11)   ~ (e1 = e0)
% 193.45/31.31    (12)  all_57_11 = e2
% 193.45/31.31    (13)   ~ (e2 = e0)
% 193.45/31.31    (14)   ~ (e3 = e0)
% 193.45/31.31  
% 193.45/31.31  Begin of proof
% 193.45/31.31  | 
% 193.45/31.31  | BETA: splitting (8) gives:
% 193.45/31.31  | 
% 193.45/31.31  | Case 1:
% 193.45/31.31  | | 
% 193.45/31.32  | |   (15)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.45/31.32  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.45/31.32  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.32  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.32  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.45/31.32  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 193.45/31.32  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 193.45/31.32  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.45/31.32  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 193.45/31.32  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 193.45/31.32  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.32  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 193.45/31.32  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.45/31.32  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 193.45/31.32  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.32  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.32  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.32  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 193.45/31.32  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.45/31.32  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.32  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.32  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 193.45/31.32  | |                 e1) = all_57_7 & $i(all_57_7))))
% 193.45/31.32  | | 
% 193.45/31.32  | | BETA: splitting (15) gives:
% 193.45/31.32  | | 
% 193.45/31.32  | | Case 1:
% 193.45/31.32  | | | 
% 193.45/31.32  | | |   (16)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 193.45/31.32  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.45/31.32  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.32  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.32  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.45/31.32  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 193.45/31.32  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.32  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.45/31.32  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.32  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.32  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.45/31.32  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.45/31.32  | | | 
% 193.45/31.32  | | | REF_CLOSE: (4), (9), (12), (13), (16) are inconsistent by sub-proof #358.
% 193.45/31.32  | | | 
% 193.45/31.32  | | Case 2:
% 193.45/31.32  | | | 
% 193.45/31.32  | | |   (17)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 193.45/31.32  | | |           & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 193.45/31.32  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.32  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.32  | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 193.45/31.32  | | |               op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 193.45/31.32  | | |           all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.32  | | |           op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.45/31.32  | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.32  | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.32  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.45/31.32  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.45/31.32  | | | 
% 193.45/31.32  | | | REF_CLOSE: (2), (4), (5), (6), (7), (14), (17) are inconsistent by
% 193.45/31.32  | | |            sub-proof #96.
% 193.45/31.32  | | | 
% 193.45/31.32  | | End of split
% 193.45/31.32  | | 
% 193.45/31.32  | Case 2:
% 193.45/31.32  | | 
% 193.45/31.32  | |   (18)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.32  | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.45/31.32  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.32  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.32  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.45/31.32  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 193.45/31.32  | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 193.45/31.32  | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 193.45/31.32  | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.45/31.32  | |               all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 193.45/31.32  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.45/31.32  | |               $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 193.45/31.32  | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 193.45/31.32  | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 193.45/31.32  | |                 e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.32  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.45/31.32  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.32  | |         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 193.45/31.32  | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.32  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.32  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 193.45/31.32  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.45/31.32  | |               op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.32  | | 
% 193.45/31.32  | | BETA: splitting (18) gives:
% 193.45/31.32  | | 
% 193.45/31.32  | | Case 1:
% 193.45/31.32  | | | 
% 193.45/31.32  | | |   (19)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 193.45/31.32  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.45/31.32  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.32  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.32  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.32  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 193.45/31.32  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.32  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.32  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.45/31.32  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.45/31.32  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.45/31.32  | | |               all_57_5 & $i(all_57_5))))
% 193.45/31.32  | | | 
% 193.45/31.32  | | | REF_CLOSE: (1), (3), (4), (5), (14), (19) are inconsistent by sub-proof
% 193.45/31.32  | | |            #40.
% 193.45/31.32  | | | 
% 193.45/31.32  | | Case 2:
% 193.45/31.32  | | | 
% 193.45/31.32  | | |   (20)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3)
% 193.45/31.32  | | |               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.32  | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.32  | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 193.45/31.32  | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 193.45/31.32  | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 193.45/31.32  | | |           op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.32  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.32  | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 193.45/31.32  | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 193.45/31.32  | | |               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.45/31.32  | | |               all_57_13 & $i(all_57_13))))
% 193.45/31.32  | | | 
% 193.45/31.32  | | | REF_CLOSE: (4), (5), (6), (10), (11), (14), (20) are inconsistent by
% 193.45/31.32  | | |            sub-proof #108.
% 193.45/31.32  | | | 
% 193.45/31.32  | | End of split
% 193.45/31.32  | | 
% 193.45/31.32  | End of split
% 193.45/31.32  | 
% 193.45/31.32  End of proof
% 193.45/31.32  
% 193.45/31.32  Sub-proof #33 shows that the following formulas are inconsistent:
% 193.45/31.32  ----------------------------------------------------------------
% 193.45/31.32    (1)   ~ (all_52_4 = e3)
% 193.45/31.32    (2)  op(e3, e3) = e0
% 193.45/31.32    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.32    (4)  op(e3, e2) = all_52_4
% 193.45/31.32    (5)  op(e2, e0) = e2
% 193.45/31.32    (6)  op(e2, e0) = all_52_13
% 193.45/31.32    (7)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.45/31.32           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.45/31.32           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 193.45/31.32                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.45/31.32               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.45/31.32               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.32           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 193.45/31.32           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.32               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.32           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.45/31.32               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 193.45/31.32           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 193.45/31.32           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 193.45/31.32               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.32               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.45/31.32               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.32         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 193.45/31.32           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.45/31.32           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 193.45/31.32               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.45/31.32             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.45/31.32    (8)  op(e1, e1) = e0
% 193.45/31.32    (9)   ~ (e1 = e0)
% 193.45/31.32    (10)   ~ (all_52_1 = all_52_13)
% 193.45/31.32    (11)  op(e2, e3) = all_52_1
% 193.45/31.32    (12)   ~ (e3 = e0)
% 193.45/31.32  
% 193.45/31.32  Begin of proof
% 193.45/31.32  | 
% 193.45/31.32  | BETA: splitting (7) gives:
% 193.45/31.32  | 
% 193.45/31.32  | Case 1:
% 193.45/31.32  | | 
% 193.45/31.32  | |   (13)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.45/31.32  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.45/31.32  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.32  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 193.45/31.32  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.32  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 193.45/31.32  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.45/31.32  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 193.45/31.32  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.32  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 193.45/31.32  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 193.45/31.32  | |               $i(all_57_2))))
% 193.45/31.32  | | 
% 193.45/31.32  | | BETA: splitting (13) gives:
% 193.45/31.32  | | 
% 193.45/31.32  | | Case 1:
% 193.45/31.32  | | | 
% 193.45/31.32  | | |   (14)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.45/31.32  | | |         op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.45/31.32  | | |         $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.32  | | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 193.45/31.32  | | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.32  | | |               e2) = all_57_5 & $i(all_57_5)))
% 193.45/31.32  | | | 
% 193.45/31.32  | | | ALPHA: (14) implies:
% 193.45/31.32  | | |   (15)  op(e3, e2) = e3
% 193.45/31.32  | | | 
% 193.45/31.32  | | | REF_CLOSE: (1), (3), (4), (15) are inconsistent by sub-proof #1972.
% 193.45/31.32  | | | 
% 193.45/31.32  | | Case 2:
% 193.45/31.32  | | | 
% 193.45/31.32  | | |   (16)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 193.45/31.32  | | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.32  | | |         $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.32  | | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.32  | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.45/31.32  | | |               e3) = all_57_2 & $i(all_57_2)))
% 193.45/31.32  | | | 
% 193.45/31.32  | | | ALPHA: (16) implies:
% 193.45/31.32  | | |   (17)  op(e2, e3) = e2
% 193.45/31.32  | | | 
% 193.45/31.32  | | | REF_CLOSE: (3), (5), (6), (10), (11), (17) are inconsistent by sub-proof
% 193.45/31.32  | | |            #34.
% 193.45/31.32  | | | 
% 193.45/31.32  | | End of split
% 193.45/31.32  | | 
% 193.45/31.32  | Case 2:
% 193.45/31.32  | | 
% 193.45/31.32  | |   (18)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 193.45/31.32  | |           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 193.45/31.32  | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.32  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 193.45/31.32  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.32  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6
% 193.45/31.32  | |           = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.45/31.32  | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 =
% 193.45/31.32  | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.32  | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 193.45/31.32  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 193.45/31.32  | |               $i(all_57_2))))
% 193.45/31.32  | | 
% 193.45/31.32  | | REF_CLOSE: (2), (3), (8), (9), (12), (18) are inconsistent by sub-proof
% 193.45/31.32  | |            #363.
% 193.45/31.32  | | 
% 193.45/31.32  | End of split
% 193.45/31.32  | 
% 193.45/31.32  End of proof
% 193.45/31.32  
% 193.45/31.32  Sub-proof #34 shows that the following formulas are inconsistent:
% 193.45/31.32  ----------------------------------------------------------------
% 193.45/31.32    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.32    (2)  op(e2, e0) = e2
% 193.45/31.32    (3)  op(e2, e0) = all_52_13
% 193.45/31.32    (4)   ~ (all_52_1 = all_52_13)
% 193.45/31.32    (5)  op(e2, e3) = e2
% 193.45/31.32    (6)  op(e2, e3) = all_52_1
% 193.45/31.32  
% 193.45/31.32  Begin of proof
% 193.45/31.32  | 
% 193.45/31.32  | GROUND_INST: instantiating (1) with all_52_13, e2, e0, e2, simplifying with
% 193.45/31.32  |              (2), (3) gives:
% 193.45/31.32  |   (7)  all_52_13 = e2
% 193.45/31.32  | 
% 193.45/31.32  | GROUND_INST: instantiating (1) with all_52_1, e2, e3, e2, simplifying with
% 193.45/31.32  |              (5), (6) gives:
% 193.45/31.32  |   (8)  all_52_1 = e2
% 193.45/31.32  | 
% 193.45/31.32  | REDUCE: (4), (7), (8) imply:
% 193.45/31.32  |   (9)  $false
% 193.45/31.32  | 
% 193.45/31.32  | CLOSE: (9) is inconsistent.
% 193.45/31.32  | 
% 193.45/31.32  End of proof
% 193.45/31.32  
% 193.45/31.32  Sub-proof #35 shows that the following formulas are inconsistent:
% 193.45/31.32  ----------------------------------------------------------------
% 193.45/31.32    (1)   ~ (all_52_4 = e3)
% 193.45/31.32    (2)  op(e3, e3) = e0
% 193.45/31.32    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.32    (4)  op(e3, e2) = all_52_4
% 193.45/31.32    (5)  op(e2, e2) = e3
% 193.45/31.32    (6)  op(e0, e2) = e0
% 193.45/31.32    (7)   ~ (e3 = e1)
% 193.45/31.32    (8)   ~ (e2 = e0)
% 193.45/31.32    (9)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 193.45/31.32             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.32           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 193.45/31.32           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.45/31.32           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 193.45/31.32           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.45/31.32           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3)
% 193.45/31.32           = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 193.45/31.32           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 193.45/31.32           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 193.45/31.32           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.32           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 193.45/31.32            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 193.45/31.32             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.32  
% 193.45/31.32  Begin of proof
% 193.45/31.32  | 
% 193.45/31.32  | BETA: splitting (9) gives:
% 193.45/31.32  | 
% 193.45/31.32  | Case 1:
% 193.45/31.32  | | 
% 193.45/31.32  | |   (10)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 193.45/31.32  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.32  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.45/31.32  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 193.45/31.32  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.45/31.32  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 193.45/31.32  | | 
% 193.45/31.32  | | REF_CLOSE: (1), (3), (4), (6), (10) are inconsistent by sub-proof #128.
% 193.45/31.32  | | 
% 193.45/31.32  | Case 2:
% 193.45/31.32  | | 
% 193.45/31.32  | |   (11)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 193.45/31.32  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 193.45/31.32  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.45/31.32  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 193.45/31.32  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.32  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 193.45/31.32  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 193.45/31.32  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 193.45/31.32  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.32  | | 
% 193.45/31.32  | | BETA: splitting (11) gives:
% 193.45/31.32  | | 
% 193.45/31.32  | | Case 1:
% 193.45/31.32  | | | 
% 193.45/31.32  | | |   (12)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.32  | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 193.45/31.32  | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.32  | | |         $i(all_57_14)
% 193.45/31.32  | | | 
% 193.45/31.32  | | | ALPHA: (12) implies:
% 193.45/31.32  | | |   (13)  op(e3, e3) = e2
% 193.45/31.32  | | | 
% 193.45/31.32  | | | REF_CLOSE: (2), (3), (8), (13) are inconsistent by sub-proof #833.
% 193.45/31.32  | | | 
% 193.45/31.32  | | Case 2:
% 193.45/31.32  | | | 
% 193.45/31.32  | | |   (14)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.45/31.32  | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.32  | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.32  | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7
% 193.45/31.32  | | |             = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 193.45/31.32  | | |             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.45/31.32  | | |           $i(all_57_7) & $i(all_57_10))
% 193.45/31.32  | | | 
% 193.45/31.32  | | | REF_CLOSE: (3), (5), (6), (7), (14) are inconsistent by sub-proof #52.
% 193.45/31.32  | | | 
% 193.45/31.32  | | End of split
% 193.45/31.32  | | 
% 193.45/31.32  | End of split
% 193.45/31.32  | 
% 193.45/31.32  End of proof
% 193.45/31.32  
% 193.45/31.32  Sub-proof #36 shows that the following formulas are inconsistent:
% 193.45/31.32  ----------------------------------------------------------------
% 193.45/31.32    (1)  op(e3, e3) = e0
% 193.45/31.32    (2)  op(e1, e1) = e1
% 193.45/31.32    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.32    (4)  op(e2, e2) = e3
% 193.45/31.32    (5)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.45/31.32             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.32           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 193.45/31.32           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.45/31.32             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.32           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.32           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.32    (6)   ~ (e1 = e0)
% 193.45/31.32    (7)   ~ (e2 = e1)
% 193.45/31.32    (8)   ~ (e3 = e1)
% 193.45/31.32  
% 193.45/31.32  Begin of proof
% 193.45/31.32  | 
% 193.45/31.32  | BETA: splitting (5) gives:
% 193.45/31.32  | 
% 193.45/31.32  | Case 1:
% 193.45/31.32  | | 
% 193.45/31.32  | |   (9)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.45/31.32  | |          e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.32  | |        $i(all_57_4)
% 193.45/31.32  | | 
% 193.45/31.32  | | ALPHA: (9) implies:
% 193.45/31.32  | |   (10)  op(e1, e1) = e2
% 193.45/31.32  | | 
% 193.45/31.32  | | REF_CLOSE: (2), (3), (7), (10) are inconsistent by sub-proof #1955.
% 193.45/31.32  | | 
% 193.45/31.32  | Case 2:
% 193.45/31.32  | | 
% 193.45/31.32  | |   (11)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 193.45/31.32  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 193.45/31.32  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.32  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 193.45/31.32  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.32  | | 
% 193.45/31.32  | | REF_CLOSE: (1), (3), (4), (6), (8), (11) are inconsistent by sub-proof #37.
% 193.45/31.32  | | 
% 193.45/31.32  | End of split
% 193.45/31.32  | 
% 193.45/31.32  End of proof
% 193.45/31.32  
% 193.45/31.32  Sub-proof #37 shows that the following formulas are inconsistent:
% 193.45/31.32  ----------------------------------------------------------------
% 193.45/31.32    (1)  op(e3, e3) = e0
% 193.45/31.32    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.32    (3)  op(e2, e2) = e3
% 193.45/31.32    (4)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.45/31.32             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.32           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 193.45/31.32           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 193.45/31.32             e1) = e0 & $i(all_57_7))
% 193.45/31.32    (5)   ~ (e1 = e0)
% 193.45/31.32    (6)   ~ (e3 = e1)
% 193.45/31.32  
% 193.45/31.32  Begin of proof
% 193.45/31.32  | 
% 193.45/31.32  | BETA: splitting (4) gives:
% 193.45/31.32  | 
% 193.45/31.32  | Case 1:
% 193.45/31.32  | | 
% 193.45/31.32  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.45/31.32  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.32  | |        $i(all_57_6)
% 193.45/31.32  | | 
% 193.45/31.32  | | ALPHA: (7) implies:
% 193.45/31.32  | |   (8)  op(e3, e3) = e1
% 193.45/31.32  | | 
% 193.45/31.32  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1937.
% 193.45/31.32  | | 
% 193.45/31.32  | Case 2:
% 193.45/31.32  | | 
% 193.45/31.32  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.32  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.32  | |        $i(all_57_7)
% 193.45/31.32  | | 
% 193.45/31.32  | | ALPHA: (9) implies:
% 193.45/31.32  | |   (10)  op(e2, e2) = e1
% 193.45/31.32  | | 
% 193.45/31.32  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1679.
% 193.45/31.32  | | 
% 193.45/31.32  | End of split
% 193.45/31.32  | 
% 193.45/31.32  End of proof
% 193.45/31.32  
% 193.45/31.32  Sub-proof #38 shows that the following formulas are inconsistent:
% 193.45/31.32  ----------------------------------------------------------------
% 193.45/31.32    (1)  op(e3, e3) = e0
% 193.45/31.32    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.32    (3)  op(e0, e3) = all_52_3
% 193.45/31.32    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.32             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.32           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 193.45/31.32           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.32             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.32           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.32           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.45/31.32    (5)   ~ (all_52_3 = e0)
% 193.45/31.32    (6)   ~ (e2 = e0)
% 193.45/31.32  
% 193.45/31.32  Begin of proof
% 193.45/31.32  | 
% 193.45/31.32  | BETA: splitting (4) gives:
% 193.45/31.32  | 
% 193.45/31.32  | Case 1:
% 193.45/31.32  | | 
% 193.45/31.33  | |   (7)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.33  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.33  | |        $i(all_57_0)
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (7) implies:
% 193.45/31.33  | |   (8)  op(e0, e3) = e0
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1935.
% 193.45/31.33  | | 
% 193.45/31.33  | Case 2:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (9)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 193.45/31.33  | |            = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0
% 193.45/31.33  | |          & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.45/31.33  | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.33  | |          all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (1), (2), (3), (5), (6), (9) are inconsistent by sub-proof #404.
% 193.45/31.33  | | 
% 193.45/31.33  | End of split
% 193.45/31.33  | 
% 193.45/31.33  End of proof
% 193.45/31.33  
% 193.45/31.33  Sub-proof #39 shows that the following formulas are inconsistent:
% 193.45/31.33  ----------------------------------------------------------------
% 193.45/31.33    (1)  op(e3, e3) = e0
% 193.45/31.33    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.33    (3)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.45/31.33           ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.33         ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.45/31.33             all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.45/31.33             (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))
% 193.45/31.33    (4)  op(e3, e1) = e3
% 193.45/31.33    (5)   ~ (e1 = e0)
% 193.45/31.33  
% 193.45/31.33  Begin of proof
% 193.45/31.33  | 
% 193.45/31.33  | ALPHA: (3) implies:
% 193.45/31.33  |   (6)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.45/31.33  |          all_57_6 & $i(all_57_6))
% 193.45/31.33  | 
% 193.45/31.33  | BETA: splitting (6) gives:
% 193.45/31.33  | 
% 193.45/31.33  | Case 1:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (7)  all_57_10 = e1 & op(e3, e3) = e1
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (7) implies:
% 193.45/31.33  | |   (8)  op(e3, e3) = e1
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1937.
% 193.45/31.33  | | 
% 193.45/31.33  | Case 2:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (9)   ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (9) implies:
% 193.45/31.33  | |   (10)   ~ (all_57_6 = e3)
% 193.45/31.33  | |   (11)  op(e3, e1) = all_57_6
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (2), (4), (10), (11) are inconsistent by sub-proof #675.
% 193.45/31.33  | | 
% 193.45/31.33  | End of split
% 193.45/31.33  | 
% 193.45/31.33  End of proof
% 193.45/31.33  
% 193.45/31.33  Sub-proof #40 shows that the following formulas are inconsistent:
% 193.45/31.33  ----------------------------------------------------------------
% 193.45/31.33    (1)  op(e3, e3) = e0
% 193.45/31.33    (2)   ~ (e3 = e2)
% 193.45/31.33    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.33    (4)  op(e2, e2) = e3
% 193.45/31.33    (5)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.45/31.33             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.33           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.45/31.33               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.45/31.33             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.33         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.45/31.33             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.33           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.33               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.45/31.33             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.45/31.33    (6)   ~ (e3 = e0)
% 193.45/31.33  
% 193.45/31.33  Begin of proof
% 193.45/31.33  | 
% 193.45/31.33  | BETA: splitting (5) gives:
% 193.45/31.33  | 
% 193.45/31.33  | Case 1:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (7)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.33  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.45/31.33  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.33  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.33  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.45/31.33  | |              e3) = all_57_2 & $i(all_57_2)))
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (7) implies:
% 193.45/31.33  | |   (8)  op(e3, e3) = e3
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1961.
% 193.45/31.33  | | 
% 193.45/31.33  | Case 2:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (9)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.33  | |            e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.45/31.33  | |            $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.33  | |            (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 193.45/31.33  | |        ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.33  | |              e2) = all_57_5 & $i(all_57_5)))
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (9) implies:
% 193.45/31.33  | |   (10)  op(e2, e2) = e2
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #214.
% 193.45/31.33  | | 
% 193.45/31.33  | End of split
% 193.45/31.33  | 
% 193.45/31.33  End of proof
% 193.45/31.33  
% 193.45/31.33  Sub-proof #41 shows that the following formulas are inconsistent:
% 193.45/31.33  ----------------------------------------------------------------
% 193.45/31.33    (1)   ~ (all_52_4 = e3)
% 193.45/31.33    (2)  op(e3, e3) = e0
% 193.45/31.33    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.33    (4)  op(e3, e2) = all_52_4
% 193.45/31.33    (5)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 193.45/31.33    (6)   ~ (e3 = e0)
% 193.45/31.33  
% 193.45/31.33  Begin of proof
% 193.45/31.33  | 
% 193.45/31.33  | BETA: splitting (5) gives:
% 193.45/31.33  | 
% 193.45/31.33  | Case 1:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (7) implies:
% 193.45/31.33  | |   (8)  op(e3, e3) = e3
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1961.
% 193.45/31.33  | | 
% 193.45/31.33  | Case 2:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (9)  all_56_1 = e3 & op(e3, e2) = e3
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (9) implies:
% 193.45/31.33  | |   (10)  op(e3, e2) = e3
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1972.
% 193.45/31.33  | | 
% 193.45/31.33  | End of split
% 193.45/31.33  | 
% 193.45/31.33  End of proof
% 193.45/31.33  
% 193.45/31.33  Sub-proof #42 shows that the following formulas are inconsistent:
% 193.45/31.33  ----------------------------------------------------------------
% 193.45/31.33    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.33    (2)  op(e3, e1) = e3
% 193.45/31.33    (3)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 193.45/31.33    (4)   ~ (all_52_12 = e1)
% 193.45/31.33    (5)  op(e3, e0) = all_52_12
% 193.45/31.33    (6)   ~ (e3 = e1)
% 193.45/31.33  
% 193.45/31.33  Begin of proof
% 193.45/31.33  | 
% 193.45/31.33  | BETA: splitting (3) gives:
% 193.45/31.33  | 
% 193.45/31.33  | Case 1:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (7) implies:
% 193.45/31.33  | |   (8)  op(e3, e1) = e1
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1624.
% 193.45/31.33  | | 
% 193.45/31.33  | Case 2:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (9)  all_56_9 = e1 & op(e3, e0) = e1
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (9) implies:
% 193.45/31.33  | |   (10)  op(e3, e0) = e1
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1949.
% 193.45/31.33  | | 
% 193.45/31.33  | End of split
% 193.45/31.33  | 
% 193.45/31.33  End of proof
% 193.45/31.33  
% 193.45/31.33  Sub-proof #43 shows that the following formulas are inconsistent:
% 193.45/31.33  ----------------------------------------------------------------
% 193.45/31.33    (1)  op(e1, e3) = all_52_2
% 193.45/31.33    (2)  op(e1, e2) = all_52_6
% 193.45/31.33    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.33    (4)  op(e2, e2) = e3
% 193.45/31.33    (5)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 193.45/31.33           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 193.45/31.33           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 193.45/31.33                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 193.45/31.33               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 193.45/31.33               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.45/31.33           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 193.45/31.33           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.33               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.33           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 193.45/31.33               = all_57_5 & $i(all_57_5))))
% 193.45/31.33    (6)  op(e1, e3) = e1
% 193.45/31.33    (7)   ~ (all_52_2 = all_52_6)
% 193.45/31.33    (8)   ~ (e3 = e1)
% 193.45/31.33  
% 193.45/31.33  Begin of proof
% 193.45/31.33  | 
% 193.45/31.33  | BETA: splitting (5) gives:
% 193.45/31.33  | 
% 193.45/31.33  | Case 1:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (9)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 193.45/31.33  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 193.45/31.33  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 193.45/31.33  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 193.45/31.33  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 193.45/31.33  | |            & $i(all_57_8)))
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (9) implies:
% 193.45/31.33  | |   (10)  op(e2, e2) = e1
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (3), (4), (8), (10) are inconsistent by sub-proof #1679.
% 193.45/31.33  | | 
% 193.45/31.33  | Case 2:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (11)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 193.45/31.33  | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.45/31.33  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 193.45/31.33  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 193.45/31.33  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.45/31.33  | |             all_57_5 & $i(all_57_5)))
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (11) implies:
% 193.45/31.33  | |   (12)  op(e1, e2) = e1
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (1), (2), (3), (6), (7), (12) are inconsistent by sub-proof #185.
% 193.45/31.33  | | 
% 193.45/31.33  | End of split
% 193.45/31.33  | 
% 193.45/31.33  End of proof
% 193.45/31.33  
% 193.45/31.33  Sub-proof #44 shows that the following formulas are inconsistent:
% 193.45/31.33  ----------------------------------------------------------------
% 193.45/31.33    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.33    (2)  op(e2, e2) = e3
% 193.45/31.33    (3)  op(e3, e3) = e2
% 193.45/31.33    (4)  op(e1, e1) = e2
% 193.45/31.33    (5)  op(e1, e3) = e3
% 193.45/31.33    (6)   ~ (all_52_1 = e2)
% 193.45/31.33    (7)   ~ (e3 = e1)
% 193.45/31.33    (8)  op(e2, e3) = all_52_1
% 193.45/31.33    (9)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.45/31.33             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.33           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.45/31.33           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.45/31.33           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.33           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.45/31.33           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 193.45/31.33           = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 193.45/31.33           & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 193.45/31.33           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.33           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 193.45/31.33           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 193.45/31.33            ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1,
% 193.45/31.33             e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.45/31.33         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 193.45/31.33             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.45/31.33           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4
% 193.45/31.33           = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.45/31.33           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1)
% 193.45/31.33           = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.45/31.33           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2)
% 193.45/31.33           = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2
% 193.45/31.33           & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 193.45/31.33           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 193.45/31.33             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.33           $i(all_57_10))
% 193.45/31.33  
% 193.45/31.33  Begin of proof
% 193.45/31.33  | 
% 193.45/31.33  | BETA: splitting (9) gives:
% 193.45/31.33  | 
% 193.45/31.33  | Case 1:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (10)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 193.45/31.33  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.33  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 193.45/31.33  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 193.45/31.33  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 193.45/31.33  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 193.45/31.33  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 193.45/31.33  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 193.45/31.33  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 193.45/31.33  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 193.45/31.33  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 193.45/31.33  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 193.45/31.33  | | 
% 193.45/31.33  | | BETA: splitting (10) gives:
% 193.45/31.33  | | 
% 193.45/31.33  | | Case 1:
% 193.45/31.33  | | | 
% 193.45/31.33  | | |   (11)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.33  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.33  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 193.45/31.33  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 193.45/31.33  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 193.45/31.33  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.33  | | |           $i(all_57_2) & $i(all_57_12))
% 193.45/31.33  | | | 
% 193.45/31.33  | | | REF_CLOSE: (1), (6), (8), (11) are inconsistent by sub-proof #1784.
% 193.45/31.33  | | | 
% 193.45/31.33  | | Case 2:
% 193.45/31.33  | | | 
% 193.45/31.33  | | |   (12)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.33  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.45/31.33  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.33  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 193.45/31.33  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.33  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.33  | | |           $i(all_57_2) & $i(all_57_14))
% 193.45/31.33  | | | 
% 193.45/31.33  | | | REF_CLOSE: (1), (5), (7), (12) are inconsistent by sub-proof #141.
% 193.45/31.33  | | | 
% 193.45/31.33  | | End of split
% 193.45/31.33  | | 
% 193.45/31.33  | Case 2:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (13)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 193.45/31.33  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.33  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.45/31.33  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 193.45/31.33  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.45/31.33  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 193.45/31.33  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 193.45/31.33  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 193.45/31.33  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.45/31.33  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 193.45/31.33  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.33  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 193.45/31.33  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 193.45/31.33  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 193.45/31.33  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.33  | | 
% 193.45/31.33  | | BETA: splitting (13) gives:
% 193.45/31.33  | | 
% 193.45/31.33  | | Case 1:
% 193.45/31.33  | | | 
% 193.45/31.33  | | |   (14)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.33  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.45/31.33  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.45/31.33  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 193.45/31.33  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 193.45/31.33  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.33  | | |           $i(all_57_5) & $i(all_57_10))
% 193.45/31.33  | | | 
% 193.45/31.33  | | | REF_CLOSE: (1), (3), (14) are inconsistent by sub-proof #798.
% 193.45/31.33  | | | 
% 193.45/31.33  | | Case 2:
% 193.45/31.33  | | | 
% 193.45/31.33  | | |   (15)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.33  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 193.45/31.33  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.33  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 193.45/31.33  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 193.45/31.33  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.33  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 193.45/31.33  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.33  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.33  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.33  | | | 
% 193.45/31.33  | | | REF_CLOSE: (1), (2), (4), (7), (15) are inconsistent by sub-proof #58.
% 193.45/31.33  | | | 
% 193.45/31.33  | | End of split
% 193.45/31.33  | | 
% 193.45/31.33  | End of split
% 193.45/31.33  | 
% 193.45/31.33  End of proof
% 193.45/31.33  
% 193.45/31.33  Sub-proof #45 shows that the following formulas are inconsistent:
% 193.45/31.33  ----------------------------------------------------------------
% 193.45/31.33    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.45/31.33             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.33           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 193.45/31.33               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 193.45/31.33             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.33         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 193.45/31.33             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.33           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 193.45/31.33               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 193.45/31.33             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.33    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.33    (3)  op(e2, e2) = e3
% 193.45/31.33    (4)  op(e2, e0) = e2
% 193.45/31.33    (5)  op(e1, e1) = e2
% 193.45/31.33    (6)   ~ (e2 = e1)
% 193.45/31.33    (7)   ~ (e3 = e0)
% 193.45/31.33  
% 193.45/31.33  Begin of proof
% 193.45/31.33  | 
% 193.45/31.33  | BETA: splitting (1) gives:
% 193.45/31.33  | 
% 193.45/31.33  | Case 1:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (8)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 193.45/31.33  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.33  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.33  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 193.45/31.33  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.33  | |              e1) = all_57_8 & $i(all_57_8)))
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (8) implies:
% 193.45/31.33  | |   (9)  op(e1, e1) = e1
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (2), (5), (6), (9) are inconsistent by sub-proof #1955.
% 193.45/31.33  | | 
% 193.45/31.33  | Case 2:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (10)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 193.45/31.33  | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.33  | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.33  | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 193.45/31.33  | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.33  | |               e0) = all_57_13 & $i(all_57_13)))
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (10) implies:
% 193.45/31.33  | |   (11)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.45/31.33  | |             e0) = all_57_11 & $i(all_57_11))
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (2), (3), (4), (7), (11) are inconsistent by sub-proof #165.
% 193.45/31.33  | | 
% 193.45/31.33  | End of split
% 193.45/31.33  | 
% 193.45/31.33  End of proof
% 193.45/31.33  
% 193.45/31.33  Sub-proof #46 shows that the following formulas are inconsistent:
% 193.45/31.33  ----------------------------------------------------------------
% 193.45/31.33    (1)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.45/31.33    (2)  op(e0, e0) = e1
% 193.45/31.33    (3)  all_56_9 = e2
% 193.45/31.33    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.33    (5)   ~ (all_14_0 = e3)
% 193.45/31.33    (6)  op(e2, e0) = all_52_13
% 193.45/31.33    (7)   ~ (all_14_0 = e2)
% 193.45/31.33    (8)  all_54_3 = all_14_0
% 193.45/31.33    (9)   ~ (all_14_0 = e1)
% 193.45/31.33    (10)  all_56_11 = e3
% 193.45/31.33    (11)   ~ (e1 = e0)
% 193.45/31.33    (12)   ~ (all_52_13 = all_14_0)
% 193.45/31.33    (13)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 193.45/31.33              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 193.45/31.33                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 193.45/31.33                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 193.45/31.33    (14)   ~ (e2 = e0)
% 193.45/31.33    (15)   ~ (e3 = e0)
% 193.45/31.33  
% 193.45/31.33  Begin of proof
% 193.45/31.33  | 
% 193.45/31.33  | BETA: splitting (13) gives:
% 193.45/31.33  | 
% 193.45/31.33  | Case 1:
% 193.45/31.33  | | 
% 193.45/31.33  | |   (16)  all_56_15 = e0 & op(e0, e0) = e0
% 193.45/31.33  | | 
% 193.45/31.33  | | ALPHA: (16) implies:
% 193.45/31.33  | |   (17)  op(e0, e0) = e0
% 193.45/31.33  | | 
% 193.45/31.33  | | REF_CLOSE: (2), (4), (11), (17) are inconsistent by sub-proof #1943.
% 193.45/31.33  | | 
% 193.45/31.33  | Case 2:
% 193.45/31.33  | | 
% 193.45/31.34  | |   (18)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 193.45/31.34  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 193.45/31.34  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 193.45/31.34  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 193.45/31.34  | | 
% 193.45/31.34  | | ALPHA: (18) implies:
% 193.45/31.34  | |   (19)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 193.45/31.34  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 193.45/31.34  | | 
% 193.45/31.34  | | BETA: splitting (19) gives:
% 193.45/31.34  | | 
% 193.45/31.34  | | Case 1:
% 193.45/31.34  | | | 
% 193.45/31.34  | | |   (20)  all_56_9 = e0 & op(e3, e0) = e0
% 193.45/31.34  | | | 
% 193.45/31.34  | | | REF_CLOSE: (3), (14), (20) are inconsistent by sub-proof #1572.
% 193.45/31.34  | | | 
% 193.45/31.34  | | Case 2:
% 193.45/31.34  | | | 
% 193.45/31.34  | | |   (21)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 193.45/31.34  | | |           = e0)
% 193.45/31.34  | | | 
% 193.45/31.34  | | | BETA: splitting (21) gives:
% 193.45/31.34  | | | 
% 193.45/31.34  | | | Case 1:
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | |   (22)  all_56_10 = e0 & op(e2, e0) = e0
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | ALPHA: (22) implies:
% 193.45/31.34  | | | |   (23)  op(e2, e0) = e0
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | BETA: splitting (1) gives:
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | Case 1:
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | |   (24)  all_54_3 = e3
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | | REF_CLOSE: (5), (8), (24) are inconsistent by sub-proof #112.
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | Case 2:
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | |   (25)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (12), (23), (25) are inconsistent
% 193.45/31.34  | | | | |            by sub-proof #122.
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | End of split
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | Case 2:
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | |   (26)  all_56_11 = e0 & op(e1, e0) = e0
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | REF_CLOSE: (10), (15), (26) are inconsistent by sub-proof #1684.
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | End of split
% 193.45/31.34  | | | 
% 193.45/31.34  | | End of split
% 193.45/31.34  | | 
% 193.45/31.34  | End of split
% 193.45/31.34  | 
% 193.45/31.34  End of proof
% 193.45/31.34  
% 193.45/31.34  Sub-proof #47 shows that the following formulas are inconsistent:
% 193.45/31.34  ----------------------------------------------------------------
% 193.45/31.34    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 193.45/31.34         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 193.45/31.34    (2)   ~ (all_52_4 = e3)
% 193.45/31.34    (3)  op(e1, e3) = all_52_2
% 193.45/31.34    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.45/31.34           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.45/31.34           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 193.45/31.34                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.45/31.34               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.45/31.34               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.34           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 193.45/31.34           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.34               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.34           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.45/31.34               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 193.45/31.34           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 193.45/31.34           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 193.45/31.34               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.34               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.45/31.34               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.34         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 193.45/31.34           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.45/31.34           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 193.45/31.34               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.45/31.34             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.34         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 193.45/31.34           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.45/31.34           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 193.45/31.34                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 193.45/31.34               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 193.45/31.34               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 193.45/31.34           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 193.45/31.34           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.45/31.34             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.34           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.45/31.34               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 193.45/31.34           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 193.45/31.34           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 193.45/31.34               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.34               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.45/31.34               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.34         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 193.45/31.34           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.45/31.34           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 193.45/31.34               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.45/31.34             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.34         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.45/31.34           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.45/31.34           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.45/31.34                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 193.45/31.34               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.45/31.34               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 193.45/31.34           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 193.45/31.34             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.34               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.34           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.34               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 193.45/31.34           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.45/31.34           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 193.45/31.34               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.34               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.34               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.34         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 193.45/31.34           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.45/31.34           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 193.45/31.34               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 193.45/31.34             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.45/31.34         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.45/31.34             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.34           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.45/31.34               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.45/31.34             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.34         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.45/31.34             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.34           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.34               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.45/31.34             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.34         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.45/31.34             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.34           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 193.45/31.34               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 193.45/31.34             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.34         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 193.45/31.34             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.34           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 193.45/31.34               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 193.45/31.34             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.34    (5)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 193.45/31.34         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 193.45/31.34    (6)   ~ (all_52_3 = e1)
% 193.45/31.34    (7)   ~ (all_52_13 = e3)
% 193.45/31.34    (8)  op(e1, e2) = all_52_6
% 193.45/31.34    (9)  all_54_7 = all_52_13
% 193.45/31.34    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.45/31.34          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.45/31.34    (11)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.45/31.34    (12)  all_54_3 = all_52_12
% 193.45/31.34    (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 193.45/31.34          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 193.45/31.34    (14)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 193.45/31.34          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 193.45/31.34    (15)  op(e0, e0) = e1
% 193.45/31.34    (16)   ~ (all_52_6 = all_52_7)
% 193.45/31.34    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.45/31.34          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.45/31.34    (18)  all_54_2 = all_52_8
% 193.45/31.34    (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 193.45/31.34          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 193.45/31.34    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.34            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.34    (21)  op(e3, e2) = all_52_4
% 193.45/31.34    (22)  op(e2, e2) = e3
% 193.45/31.34    (23)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.45/31.34          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.45/31.34    (24)   ~ (all_52_3 = all_52_7)
% 193.45/31.34    (25)   ~ (all_52_9 = e3)
% 193.45/31.34    (26)   ~ (all_52_4 = all_52_8)
% 193.45/31.34    (27)  all_54_13 = all_52_7
% 193.45/31.34    (28)   ~ (all_14_0 = e3)
% 193.45/31.34    (29)   ~ (all_52_4 = all_52_7)
% 193.45/31.34    (30)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 193.45/31.34          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 193.45/31.34            e1)
% 193.45/31.34    (31)  all_54_9 = all_52_6
% 193.45/31.34    (32)   ~ (all_52_4 = all_14_0)
% 193.45/31.34    (33)   ~ (all_52_8 = e3)
% 193.45/31.34    (34)  op(e0, e3) = all_52_3
% 193.45/31.34    (35)  op(e2, e0) = all_52_13
% 193.45/31.34    (36)  op(e1, e0) = all_52_14
% 193.45/31.34    (37)   ~ (all_14_0 = e2)
% 193.45/31.34    (38)   ~ (all_52_8 = all_52_9)
% 193.45/31.34    (39)  all_54_3 = all_14_0
% 193.45/31.34    (40)   ~ (all_52_13 = e1)
% 193.45/31.34    (41)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.45/31.34              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.34            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.45/31.34            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.45/31.34            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.34            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.45/31.34            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 193.45/31.34            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.34            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 193.45/31.34            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.34            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.34            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 193.45/31.34            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.34            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.34            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.45/31.34            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.34            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.34            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 193.45/31.34            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.34            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.34            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 193.45/31.34            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.34            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.34            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 193.45/31.34            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.34            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.34            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.34            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.34            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.34            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 193.45/31.34            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.34            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.45/31.34            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.34            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.34            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.34            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.34            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.34            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.34            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.34            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.34            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.34            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 193.45/31.34            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.34            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.34            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 193.45/31.34            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.34            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.34            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.34              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 193.45/31.34            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.34            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.34              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.34            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.34            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 193.45/31.34                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.34                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.34                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.34                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.34                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.45/31.34                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.34                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.34              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.34                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.34                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.34                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.34                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.34                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.34                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.34                $i(all_57_7))))
% 193.45/31.34    (42)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 193.45/31.34          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 193.45/31.34    (43)   ~ (all_52_2 = e2)
% 193.45/31.34    (44)   ~ (all_52_12 = all_52_14)
% 193.45/31.34    (45)  op(e3, e0) = all_14_0
% 193.45/31.34    (46)   ~ (all_14_0 = e1)
% 193.45/31.34    (47)   ~ (all_52_7 = e1)
% 193.45/31.34    (48)  op(e0, e1) = all_52_11
% 193.45/31.34    (49)  op(e3, e3) = e3
% 193.45/31.34    (50)   ~ (all_52_2 = e3)
% 193.45/31.34    (51)  all_56_14 = e3
% 193.45/31.34    (52)   ~ (all_52_14 = e1)
% 193.45/31.34    (53)   ~ (all_52_8 = e2)
% 193.45/31.34    (54)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 193.45/31.34    (55)  op(e1, e1) = e2
% 193.45/31.34    (56)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 193.45/31.34    (57)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 193.45/31.34          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 193.45/31.34    (58)   ~ (all_52_1 = all_52_13)
% 193.45/31.34    (59)   ~ (all_52_8 = all_52_11)
% 193.45/31.34    (60)   ~ (all_52_6 = e3)
% 193.45/31.34    (61)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 193.45/31.34          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 193.45/31.34    (62)   ~ (all_52_2 = all_52_6)
% 193.45/31.34    (63)   ~ (all_52_13 = all_14_0)
% 193.45/31.34    (64)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 193.45/31.34    (65)   ~ (e2 = e1)
% 193.45/31.34    (66)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 193.45/31.34          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 193.45/31.34    (67)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 193.45/31.34    (68)   ~ (all_52_12 = e1)
% 193.45/31.34    (69)   ~ (all_52_7 = e3)
% 193.45/31.34    (70)   ~ (all_52_8 = all_14_0)
% 193.45/31.34    (71)  op(e2, e1) = all_52_9
% 193.45/31.34    (72)   ~ (all_52_4 = all_52_6)
% 193.45/31.34    (73)   ~ (all_52_1 = all_52_3)
% 193.45/31.34    (74)  op(e3, e1) = all_52_8
% 193.45/31.34    (75)   ~ (all_52_9 = all_52_13)
% 193.45/31.34    (76)   ~ (e3 = e1)
% 193.45/31.34    (77)  all_54_1 = all_52_4
% 193.45/31.34    (78)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 193.45/31.34          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 193.45/31.34    (79)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 193.45/31.34          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 193.45/31.34    (80)  op(e0, e2) = all_52_7
% 193.45/31.34    (81)  op(e2, e3) = all_52_1
% 193.45/31.34    (82)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.45/31.34    (83)  all_56_1 = e2
% 193.45/31.34  
% 193.45/31.34  Begin of proof
% 193.45/31.34  | 
% 193.45/31.34  | BETA: splitting (11) gives:
% 193.45/31.34  | 
% 193.45/31.34  | Case 1:
% 193.45/31.34  | | 
% 193.45/31.34  | |   (84)  all_54_3 = e3
% 193.45/31.34  | | 
% 193.45/31.34  | | COMBINE_EQS: (39), (84) imply:
% 193.45/31.34  | |   (85)  all_14_0 = e3
% 193.45/31.34  | | 
% 193.45/31.34  | | REDUCE: (28), (85) imply:
% 193.45/31.34  | |   (86)  $false
% 193.45/31.34  | | 
% 193.45/31.34  | | CLOSE: (86) is inconsistent.
% 193.45/31.34  | | 
% 193.45/31.34  | Case 2:
% 193.45/31.34  | | 
% 193.45/31.34  | |   (87)   ~ (all_54_3 = e3)
% 193.45/31.34  | |   (88)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 193.45/31.34  | | 
% 193.45/31.34  | | BETA: splitting (88) gives:
% 193.45/31.34  | | 
% 193.45/31.34  | | Case 1:
% 193.45/31.34  | | | 
% 193.45/31.34  | | |   (89)  all_54_3 = e2
% 193.45/31.34  | | | 
% 193.45/31.34  | | | COMBINE_EQS: (39), (89) imply:
% 193.45/31.34  | | |   (90)  all_14_0 = e2
% 193.45/31.34  | | | 
% 193.45/31.34  | | | REDUCE: (37), (90) imply:
% 193.45/31.34  | | |   (91)  $false
% 193.45/31.34  | | | 
% 193.45/31.34  | | | CLOSE: (91) is inconsistent.
% 193.45/31.34  | | | 
% 193.45/31.34  | | Case 2:
% 193.45/31.34  | | | 
% 193.45/31.34  | | |   (92)  all_54_3 = e1 | all_54_3 = e0
% 193.45/31.34  | | | 
% 193.45/31.34  | | | BETA: splitting (92) gives:
% 193.45/31.34  | | | 
% 193.45/31.34  | | | Case 1:
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | |   (93)  all_54_3 = e1
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | COMBINE_EQS: (39), (93) imply:
% 193.45/31.34  | | | |   (94)  all_14_0 = e1
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | SIMP: (94) implies:
% 193.45/31.34  | | | |   (95)  all_14_0 = e1
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | REDUCE: (46), (95) imply:
% 193.45/31.34  | | | |   (96)  $false
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | CLOSE: (96) is inconsistent.
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | Case 2:
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | |   (97)  all_54_3 = e0
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | COMBINE_EQS: (39), (97) imply:
% 193.45/31.34  | | | |   (98)  all_14_0 = e0
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | SIMP: (98) implies:
% 193.45/31.34  | | | |   (99)  all_14_0 = e0
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | REDUCE: (32), (99) imply:
% 193.45/31.34  | | | |   (100)   ~ (all_52_4 = e0)
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | REDUCE: (70), (99) imply:
% 193.45/31.34  | | | |   (101)   ~ (all_52_8 = e0)
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | REDUCE: (63), (99) imply:
% 193.45/31.34  | | | |   (102)   ~ (all_52_13 = e0)
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | REDUCE: (28), (99) imply:
% 193.45/31.34  | | | |   (103)   ~ (e3 = e0)
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | SIMP: (103) implies:
% 193.45/31.34  | | | |   (104)   ~ (e3 = e0)
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | REDUCE: (46), (99) imply:
% 193.45/31.34  | | | |   (105)   ~ (e1 = e0)
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | SIMP: (105) implies:
% 193.45/31.34  | | | |   (106)   ~ (e1 = e0)
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | REDUCE: (45), (99) imply:
% 193.45/31.34  | | | |   (107)  op(e3, e0) = e0
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | BETA: splitting (54) gives:
% 193.45/31.34  | | | | 
% 193.45/31.34  | | | | Case 1:
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | |   (108)  all_54_7 = e3
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | | REF_CLOSE: (7), (9), (108) are inconsistent by sub-proof #1484.
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | Case 2:
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | |   (109)   ~ (all_54_7 = e3)
% 193.45/31.34  | | | | |   (110)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | | BETA: splitting (1) gives:
% 193.45/31.34  | | | | | 
% 193.45/31.34  | | | | | Case 1:
% 193.45/31.34  | | | | | | 
% 193.45/31.34  | | | | | |   (111)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2,
% 193.45/31.34  | | | | | |              e2) = e1)
% 193.45/31.34  | | | | | | 
% 193.45/31.34  | | | | | | BETA: splitting (111) gives:
% 193.45/31.34  | | | | | | 
% 193.45/31.34  | | | | | | Case 1:
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | |   (112)  all_56_1 = e1 & op(e3, e2) = e1
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | | REF_CLOSE: (65), (83), (112) are inconsistent by sub-proof #1158.
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | Case 2:
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | |   (113)  all_56_3 = e1 & op(e2, e2) = e1
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | | ALPHA: (113) implies:
% 193.45/31.34  | | | | | | |   (114)  op(e2, e2) = e1
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | | REF_CLOSE: (20), (22), (76), (114) are inconsistent by sub-proof
% 193.45/31.34  | | | | | | |            #1679.
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | End of split
% 193.45/31.34  | | | | | | 
% 193.45/31.34  | | | | | Case 2:
% 193.45/31.34  | | | | | | 
% 193.45/31.34  | | | | | |   (115)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 &
% 193.45/31.34  | | | | | |            op(e0, e2) = e1)
% 193.45/31.34  | | | | | | 
% 193.45/31.34  | | | | | | BETA: splitting (115) gives:
% 193.45/31.34  | | | | | | 
% 193.45/31.34  | | | | | | Case 1:
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | |   (116)  all_56_7 = e1 & op(e1, e2) = e1
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | | ALPHA: (116) implies:
% 193.45/31.34  | | | | | | |   (117)  all_56_7 = e1
% 193.45/31.34  | | | | | | |   (118)  op(e1, e2) = e1
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | | BETA: splitting (110) gives:
% 193.45/31.34  | | | | | | | 
% 193.45/31.34  | | | | | | | Case 1:
% 193.45/31.34  | | | | | | | | 
% 193.45/31.34  | | | | | | | |   (119)  all_54_7 = e2
% 193.45/31.34  | | | | | | | | 
% 193.45/31.34  | | | | | | | | COMBINE_EQS: (9), (119) imply:
% 193.45/31.34  | | | | | | | |   (120)  all_52_13 = e2
% 193.45/31.34  | | | | | | | | 
% 193.45/31.34  | | | | | | | | REDUCE: (58), (120) imply:
% 193.45/31.34  | | | | | | | |   (121)   ~ (all_52_1 = e2)
% 193.45/31.34  | | | | | | | | 
% 193.45/31.34  | | | | | | | | REDUCE: (75), (120) imply:
% 193.45/31.35  | | | | | | | |   (122)   ~ (all_52_9 = e2)
% 193.45/31.35  | | | | | | | | 
% 193.45/31.35  | | | | | | | | REDUCE: (7), (120) imply:
% 193.45/31.35  | | | | | | | |   (123)   ~ (e3 = e2)
% 193.45/31.35  | | | | | | | | 
% 193.45/31.35  | | | | | | | | SIMP: (123) implies:
% 193.45/31.35  | | | | | | | |   (124)   ~ (e3 = e2)
% 193.45/31.35  | | | | | | | | 
% 193.45/31.35  | | | | | | | | REDUCE: (102), (120) imply:
% 193.45/31.35  | | | | | | | |   (125)   ~ (e2 = e0)
% 193.45/31.35  | | | | | | | | 
% 193.45/31.35  | | | | | | | | REDUCE: (35), (120) imply:
% 193.45/31.35  | | | | | | | |   (126)  op(e2, e0) = e2
% 193.45/31.35  | | | | | | | | 
% 193.45/31.35  | | | | | | | | BETA: splitting (13) gives:
% 193.45/31.35  | | | | | | | | 
% 193.45/31.35  | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | 
% 193.45/31.35  | | | | | | | | |   (127)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 &
% 193.45/31.35  | | | | | | | | |            op(e2, e1) = e0)
% 193.45/31.35  | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | BETA: splitting (127) gives:
% 193.45/31.35  | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | |   (128)  all_56_4 = e0 & op(e3, e1) = e0
% 193.45/31.35  | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | REF_CLOSE: (20), (74), (101), (128) are inconsistent by
% 193.45/31.35  | | | | | | | | | |            sub-proof #406.
% 193.45/31.35  | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | |   (129)  all_56_5 = e0 & op(e2, e1) = e0
% 193.45/31.35  | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | ALPHA: (129) implies:
% 193.45/31.35  | | | | | | | | | |   (130)  op(e2, e1) = e0
% 193.45/31.35  | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | BETA: splitting (57) gives:
% 193.45/31.35  | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | |   (131)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 193.45/31.35  | | | | | | | | | | |            & op(e2, e2) = e1)
% 193.45/31.35  | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | BETA: splitting (131) gives:
% 193.45/31.35  | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | |   (132)  all_56_2 = e1 & op(e2, e3) = e1
% 193.45/31.35  | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | ALPHA: (132) implies:
% 193.45/31.35  | | | | | | | | | | | |   (133)  all_56_2 = e1
% 193.45/31.35  | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | BETA: splitting (56) gives:
% 193.45/31.35  | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | |   (134)  all_54_2 = e3
% 193.45/31.35  | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | REF_CLOSE: (18), (33), (134) are inconsistent by sub-proof
% 193.45/31.35  | | | | | | | | | | | | |            #1762.
% 193.45/31.35  | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | |   (135)   ~ (all_54_2 = e3)
% 193.45/31.35  | | | | | | | | | | | | |   (136)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 193.45/31.35  | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | BETA: splitting (5) gives:
% 193.45/31.35  | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | |   (137)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 193.45/31.35  | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 193.45/31.35  | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (100), (104), (137) are
% 193.45/31.35  | | | | | | | | | | | | | |            inconsistent by sub-proof #54.
% 193.45/31.35  | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | |   (138)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 193.45/31.35  | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0)
% 193.45/31.35  | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 193.45/31.35  | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | |   (139)  all_56_7 = e0 & op(e1, e2) = e0
% 193.45/31.35  | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 193.45/31.35  | | | | | | | | | | | | | | |   (140)  all_56_7 = e0
% 193.45/31.35  | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | REF_CLOSE: (106), (117), (140) are inconsistent by sub-proof
% 193.45/31.35  | | | | | | | | | | | | | | |            #1522.
% 193.45/31.35  | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | |   (141)  all_56_13 = e0 & op(e0, e2) = e0
% 193.45/31.35  | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 193.45/31.35  | | | | | | | | | | | | | | |   (142)  op(e0, e2) = e0
% 193.45/31.35  | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | BETA: splitting (10) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | |   (143)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 193.45/31.35  | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 193.45/31.35  | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | REF_CLOSE: (20), (49), (81), (121), (124), (143) are
% 193.45/31.35  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 193.45/31.35  | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | |   (144)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 193.45/31.35  | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 193.45/31.35  | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | |   (145)  all_56_6 = e2 & op(e1, e3) = e2
% 193.45/31.35  | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (20), (43), (145) are inconsistent by
% 193.45/31.35  | | | | | | | | | | | | | | | | |            sub-proof #796.
% 193.45/31.35  | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | |   (146)  all_56_12 = e2 & op(e0, e3) = e2
% 193.45/31.35  | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 193.45/31.35  | | | | | | | | | | | | | | | | |   (147)  all_56_12 = e2
% 193.45/31.35  | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | |   (148)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 193.45/31.35  | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (49), (104), (106), (133), (148) are
% 193.45/31.35  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 193.45/31.35  | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | |   (149)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 193.45/31.35  | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | |   (150)  all_56_6 = e0 & op(e1, e3) = e0
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | |   (151)  op(e1, e3) = e0
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | |   (152)  all_54_2 = e2
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (152) imply:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | |   (153)  all_52_8 = e2
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (153) imply:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | |   (154)  $false
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | CLOSE: (154) is inconsistent.
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | |   (155)   ~ (all_54_2 = e2)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | |   (156)  all_54_2 = e1 | all_54_2 = e0
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | |   (157)  all_54_2 = e1
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (157) imply:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | |   (158)  all_52_8 = e1
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (158) imply:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | |   (159)   ~ (all_52_4 = e1)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (158) imply:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | |   (160)   ~ (all_52_9 = e1)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | SIMP: (160) implies:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | |   (161)   ~ (all_52_9 = e1)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (158) imply:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | |   (162)   ~ (e3 = e1)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (158) imply:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | |   (163)   ~ (e2 = e1)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (158) imply:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | |   (164)  op(e3, e1) = e1
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | |   (165)  all_54_1 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (165) imply:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | |   (166)  all_52_4 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (166) imply:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | |   (167)  $false
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (167) is inconsistent.
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | |   (168)   ~ (all_54_1 = e3)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | |   (169)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |   (170)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |   (171)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (172)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (20), (65), (142), (174) are inconsistent by
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #283.
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (175) implies:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (176)  op(e2, e3) = e2
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (81), (121), (176) are inconsistent by
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1785.
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (20), (61), (65), (76), (104), (106),
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            (124), (125), (133), (151), (177) are inconsistent
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #470.
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |   (178)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (180)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  op(e3, e3) = e0
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (49), (104), (181) are inconsistent by
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1961.
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & $i(all_57_1)))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (182) implies:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  op(e0, e3) = e0
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (24), (34), (80), (142), (183) are
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #157.
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (184)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (71), (76), (161), (184) are
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #53.
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |   (185)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |   (186)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  op(e0, e2) = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (125), (142), (189) are inconsistent by
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #423.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  op(e2, e0) = e0
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (35), (102), (191) are inconsistent by
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1173.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  op(e0, e1) = e1
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (48), (59), (101), (156), (194) are
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #296.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (195) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  op(e1, e0) = e0
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (20), (36), (44), (68), (92), (196) are
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1687.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |   (197)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_57_15 = e3 & op(e0, e0) = e3
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  op(e0, e0) = e3
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (30), (47), (51), (65), (76), (80), (147),
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203) are inconsistent by sub-proof #1039.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)   ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)   ~ (all_57_2 = e0)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  op(e0, e3) = all_57_2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_54_1 = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (207) imply:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_52_4 = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (208) imply:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)   ~ (all_52_6 = e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (209) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_52_6 = e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (208) imply:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)   ~ (all_52_7 = e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (211) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)   ~ (all_52_7 = e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_54_13 = e3
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (69), (213) are inconsistent by sub-proof
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1445.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)   ~ (all_54_13 = e3)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_54_13 = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (212), (216) are inconsistent by sub-proof
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1444.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)   ~ (all_54_13 = e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_54_13 = e1 | all_54_13 = e0
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_54_13 = e1
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (47), (219) are inconsistent by sub-proof
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1654.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_54_13 = e0
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (220) imply:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_52_7 = e0
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (221) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_52_7 = e0
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (222) imply:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)   ~ (all_52_3 = e0)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (222) imply:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)   ~ (all_52_6 = e0)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (222) imply:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)   ~ (e2 = e0)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_54_9 = e3
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (60), (226) are inconsistent by sub-proof
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #715.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)   ~ (all_54_9 = e3)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_54_9 = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (210), (229) are inconsistent by sub-proof
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1142.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)   ~ (all_54_9 = e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_54_9 = e1 | all_54_9 = e0
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (81), (121), (234) are inconsistent by
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1784.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_14)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (236) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  op(e1, e3) = e1
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (55), (124), (201), (237) are inconsistent
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #438.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  op(e1, e3) = e1
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (55), (124), (201), (239) are inconsistent
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #438.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)   ~ (all_57_4 = e1)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  op(e1, e2) = all_57_4
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (118), (243), (244) are inconsistent by
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1303.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)   ~ (all_57_5 = e0)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  op(e0, e2) = all_57_5
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (142), (246), (247) are inconsistent by
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1589.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  op(e3, e3) = e2
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (17), (19), (20), (34), (50), (61), (65),
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (104), (106), (124), (125), (147), (223),
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (250) are inconsistent by sub-proof #740.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (76), (142), (251) are inconsistent by
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #52.
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  op(e3, e1) = e3
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (76), (164), (256) are inconsistent by
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1624.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (257) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  op(e3, e3) = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (20), (61), (65), (76), (104), (106),
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (124), (125), (133), (258) are inconsistent by
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1844.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  op(e2, e1) = e2
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (71), (122), (261) are inconsistent by
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1942.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (104), (107), (262) are inconsistent by
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1383.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (49), (104), (264) are inconsistent by
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1960.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  op(e1, e1) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (20), (36), (42), (49), (52), (65), (76),
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (78), (79), (104), (106), (124), (125), (133),
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (206), (267) are inconsistent by sub-proof
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1525.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (269) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  op(e1, e0) = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (36), (52), (270) are inconsistent by
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (271) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  op(e0, e0) = all_57_15
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_54_9 = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (274) imply:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_52_6 = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (275) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_52_6 = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (276) imply:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)   ~ (all_52_2 = e1)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)   ~ (all_57_15 = e3)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  op(e0, e3) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (200), (272), (280), (281) are inconsistent
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1275.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)   ~ (all_57_15 = e3)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  op(e0, e3) = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (200), (272), (284), (285) are inconsistent
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1275.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  op(e3, e3) = e2
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (17), (19), (20), (34), (50), (61), (65),
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (104), (106), (124), (125), (147), (223),
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (287) are inconsistent by sub-proof #740.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (289) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)   ~ (all_57_4 = e1)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  op(e1, e2) = all_57_4
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (118), (290), (291) are inconsistent by
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1303.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (293) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  op(e3, e3) = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (6), (8), (10), (14), (15), (17),
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (20), (21), (22), (25), (34), (35), (36), (40),
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (41), (47), (52), (55), (57), (61), (65), (66),
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (71), (73), (76), (80), (81), (104), (106), (122),
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (124), (125), (159), (277), (294) are inconsistent
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #48.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  op(e2, e2) = e1
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (76), (296) are inconsistent by
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1679.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_54_9 = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (224), (297) are inconsistent by sub-proof
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1803.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_54_1 = e1 | all_54_1 = e0
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (100), (159), (298) are inconsistent by
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1898.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (20), (65), (142), (300) are inconsistent by
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #283.
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (23), (51), (53), (65), (71), (74),
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (122), (124), (126), (301) are inconsistent
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #69.
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | |   (302)  all_54_2 = e0
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (302) imply:
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | |   (303)  all_52_8 = e0
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (303) imply:
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | |   (304)  $false
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | CLOSE: (304) is inconsistent.
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | |   (305)  all_56_12 = e0 & op(e0, e3) = e0
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | ALPHA: (305) implies:
% 193.45/31.38  | | | | | | | | | | | | | | | | | | |   (306)  op(e0, e3) = e0
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (24), (34), (80), (142), (306) are
% 193.45/31.38  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #157.
% 193.45/31.38  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | Case 2:
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | |   (307)  all_56_3 = e1 & op(e2, e2) = e1
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | ALPHA: (307) implies:
% 193.45/31.38  | | | | | | | | | | | |   (308)  op(e2, e2) = e1
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | REF_CLOSE: (20), (22), (76), (308) are inconsistent by
% 193.45/31.38  | | | | | | | | | | | |            sub-proof #1679.
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | Case 2:
% 193.45/31.38  | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | |   (309)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 193.45/31.38  | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 193.45/31.38  | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | BETA: splitting (309) gives:
% 193.45/31.38  | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | Case 1:
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | |   (310)  all_56_5 = e1 & op(e2, e1) = e1
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | ALPHA: (310) implies:
% 193.45/31.38  | | | | | | | | | | | |   (311)  op(e2, e1) = e1
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | REF_CLOSE: (20), (106), (130), (311) are inconsistent by
% 193.45/31.38  | | | | | | | | | | | |            sub-proof #72.
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | Case 2:
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | |   (312)  all_56_10 = e1 & op(e2, e0) = e1
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | ALPHA: (312) implies:
% 193.45/31.38  | | | | | | | | | | | |   (313)  op(e2, e0) = e1
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | | REF_CLOSE: (20), (35), (40), (313) are inconsistent by
% 193.45/31.38  | | | | | | | | | | | |            sub-proof #1650.
% 193.45/31.38  | | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | 
% 193.45/31.38  | | | | | | | | Case 2:
% 193.45/31.38  | | | | | | | | | 
% 193.45/31.38  | | | | | | | | |   (314)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 &
% 193.45/31.38  | | | | | | | | |            op(e0, e1) = e0)
% 193.45/31.38  | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | BETA: splitting (314) gives:
% 193.45/31.38  | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | Case 1:
% 193.45/31.38  | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | |   (315)  all_56_8 = e0 & op(e1, e1) = e0
% 193.45/31.38  | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | ALPHA: (315) implies:
% 193.45/31.38  | | | | | | | | | |   (316)  op(e1, e1) = e0
% 193.45/31.38  | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | REF_CLOSE: (20), (55), (125), (316) are inconsistent by
% 193.45/31.38  | | | | | | | | | |            sub-proof #1821.
% 193.45/31.38  | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | Case 2:
% 193.45/31.38  | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | |   (317)  all_56_14 = e0 & op(e0, e1) = e0
% 193.45/31.38  | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | | REF_CLOSE: (51), (104), (317) are inconsistent by sub-proof
% 193.45/31.38  | | | | | | | | | |            #861.
% 193.45/31.38  | | | | | | | | | | 
% 193.45/31.38  | | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | | 
% 193.45/31.38  | | | | | | | | End of split
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | Case 2:
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | |   (318)  all_54_7 = e1 | all_54_7 = e0
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | | REF_CLOSE: (9), (40), (102), (318) are inconsistent by sub-proof
% 193.45/31.38  | | | | | | | |            #1376.
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | End of split
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | Case 2:
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | |   (319)  all_56_13 = e1 & op(e0, e2) = e1
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | | ALPHA: (319) implies:
% 193.45/31.38  | | | | | | |   (320)  op(e0, e2) = e1
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | | REF_CLOSE: (20), (47), (80), (320) are inconsistent by sub-proof
% 193.45/31.38  | | | | | | |            #1649.
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | End of split
% 193.45/31.38  | | | | | | 
% 193.45/31.38  | | | | | End of split
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | End of split
% 193.45/31.38  | | | | 
% 193.45/31.38  | | | End of split
% 193.45/31.38  | | | 
% 193.45/31.38  | | End of split
% 193.45/31.38  | | 
% 193.45/31.38  | End of split
% 193.45/31.38  | 
% 193.45/31.38  End of proof
% 193.45/31.38  
% 193.45/31.38  Sub-proof #48 shows that the following formulas are inconsistent:
% 193.45/31.38  ----------------------------------------------------------------
% 193.45/31.38    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 193.45/31.38         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 193.45/31.38    (2)   ~ (all_52_4 = e3)
% 193.45/31.38    (3)  op(e1, e3) = all_52_2
% 193.45/31.38    (4)   ~ (all_52_3 = e1)
% 193.45/31.38    (5)  op(e1, e2) = all_52_6
% 193.45/31.38    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.45/31.38         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.45/31.38    (7)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 193.45/31.38         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 193.45/31.38    (8)  op(e0, e0) = e1
% 193.45/31.38    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.45/31.38         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.45/31.38    (10)   ~ (e3 = e2)
% 193.45/31.38    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.38            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.38    (12)  op(e3, e2) = all_52_4
% 193.45/31.38    (13)  op(e2, e2) = e3
% 193.45/31.38    (14)  op(e3, e3) = e1
% 193.45/31.38    (15)   ~ (all_52_9 = e3)
% 193.45/31.38    (16)  op(e0, e3) = all_52_3
% 193.45/31.38    (17)  op(e2, e0) = all_52_13
% 193.45/31.38    (18)  op(e1, e0) = all_52_14
% 193.45/31.38    (19)   ~ (all_52_13 = e1)
% 193.45/31.38    (20)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.45/31.38              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.38            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.45/31.38            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.45/31.38            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.38            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.45/31.38            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 193.45/31.38            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.38            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 193.45/31.38            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.38            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.38            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 193.45/31.38            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.38            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.38            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.45/31.38            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.38            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.38            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 193.45/31.38            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.38            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.38            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 193.45/31.38            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.38            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.38            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 193.45/31.38            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.38            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.38            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.38            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.38            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.38            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 193.45/31.38            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.38            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.45/31.38            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.38            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.38            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.38            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.38            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.38            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.38            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.38            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.38            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.38            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 193.45/31.38            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.38            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.38            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 193.45/31.38            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.38            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.38            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.38              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 193.45/31.38            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.38            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.38              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.38            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.38            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 193.45/31.38                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.38                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.38                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.38                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.38                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.45/31.38                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.38                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.38              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.38                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.38                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.38                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.38                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.38                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.38                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.38                $i(all_57_7))))
% 193.45/31.38    (21)   ~ (all_52_9 = e2)
% 193.45/31.38    (22)   ~ (all_52_7 = e1)
% 193.45/31.38    (23)   ~ (all_52_14 = e1)
% 193.45/31.38    (24)  op(e1, e1) = e2
% 193.45/31.38    (25)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 193.45/31.38          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 193.45/31.38    (26)   ~ (e1 = e0)
% 193.45/31.38    (27)   ~ (all_52_4 = e1)
% 193.45/31.38    (28)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 193.45/31.38          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 193.45/31.38    (29)   ~ (e2 = e1)
% 193.45/31.38    (30)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 193.45/31.38          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 193.45/31.38    (31)   ~ (all_52_2 = e1)
% 193.45/31.38    (32)  op(e2, e1) = all_52_9
% 193.45/31.38    (33)   ~ (all_52_1 = all_52_3)
% 193.45/31.38    (34)   ~ (e3 = e1)
% 193.45/31.38    (35)  op(e0, e2) = all_52_7
% 193.45/31.38    (36)   ~ (e2 = e0)
% 193.45/31.38    (37)  op(e2, e3) = all_52_1
% 193.45/31.38    (38)   ~ (e3 = e0)
% 193.45/31.38  
% 193.45/31.38  Begin of proof
% 193.45/31.38  | 
% 193.45/31.38  | BETA: splitting (1) gives:
% 193.45/31.38  | 
% 193.45/31.38  | Case 1:
% 193.45/31.38  | | 
% 193.45/31.38  | |   (39)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 193.45/31.38  | |           e1)
% 193.45/31.38  | | 
% 193.45/31.38  | | REF_CLOSE: (11), (12), (13), (27), (34), (39) are inconsistent by sub-proof
% 193.45/31.38  | |            #146.
% 193.45/31.38  | | 
% 193.45/31.38  | Case 2:
% 193.45/31.38  | | 
% 193.45/31.38  | |   (40)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 193.45/31.38  | |           e1)
% 193.45/31.38  | | 
% 193.45/31.38  | | BETA: splitting (40) gives:
% 193.45/31.38  | | 
% 193.45/31.38  | | Case 1:
% 193.45/31.38  | | | 
% 193.45/31.38  | | |   (41)  all_56_7 = e1 & op(e1, e2) = e1
% 193.45/31.38  | | | 
% 193.45/31.38  | | | ALPHA: (41) implies:
% 193.45/31.38  | | |   (42)  op(e1, e2) = e1
% 193.45/31.38  | | | 
% 193.45/31.38  | | | BETA: splitting (25) gives:
% 193.45/31.38  | | | 
% 193.45/31.38  | | | Case 1:
% 193.45/31.38  | | | | 
% 193.45/31.38  | | | |   (43)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2)
% 193.45/31.38  | | | |           = e1)
% 193.45/31.38  | | | | 
% 193.45/31.38  | | | | BETA: splitting (43) gives:
% 193.45/31.38  | | | | 
% 193.45/31.38  | | | | Case 1:
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | |   (44)  all_56_2 = e1 & op(e2, e3) = e1
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | | ALPHA: (44) implies:
% 193.45/31.38  | | | | |   (45)  all_56_2 = e1
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | | REF_CLOSE: (6), (9), (10), (11), (14), (26), (28), (29), (34), (36),
% 193.45/31.38  | | | | |            (38), (45) are inconsistent by sub-proof #1844.
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | Case 2:
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | |   (46)  all_56_3 = e1 & op(e2, e2) = e1
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | | ALPHA: (46) implies:
% 193.45/31.38  | | | | |   (47)  op(e2, e2) = e1
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | | REF_CLOSE: (11), (13), (34), (47) are inconsistent by sub-proof #1679.
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | End of split
% 193.45/31.38  | | | | 
% 193.45/31.38  | | | Case 2:
% 193.45/31.38  | | | | 
% 193.45/31.38  | | | |   (48)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0)
% 193.45/31.38  | | | |           = e1)
% 193.45/31.38  | | | | 
% 193.45/31.38  | | | | BETA: splitting (48) gives:
% 193.45/31.38  | | | | 
% 193.45/31.38  | | | | Case 1:
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | |   (49)  all_56_5 = e1 & op(e2, e1) = e1
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | | ALPHA: (49) implies:
% 193.45/31.38  | | | | |   (50)  op(e2, e1) = e1
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | | BETA: splitting (20) gives:
% 193.45/31.38  | | | | | 
% 193.45/31.38  | | | | | Case 1:
% 193.45/31.38  | | | | | | 
% 193.45/31.38  | | | | | |   (51)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.38  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 193.45/31.38  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.45/31.38  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 193.45/31.38  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 193.45/31.38  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 193.45/31.38  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.45/31.38  | | | | | |         | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.38  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 193.45/31.38  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 193.45/31.38  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 193.45/31.38  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.38  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 193.45/31.38  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14)) | (all_57_3 =
% 193.45/31.38  | | | | | |           e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 193.45/31.38  | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1,
% 193.45/31.38  | | | | | |             e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.45/31.38  | | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.45/31.38  | | | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.45/31.38  | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 193.45/31.38  | | | | | |           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 193.45/31.38  | | | | | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.38  | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 193.45/31.38  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 193.45/31.38  | | | | | |           & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 193.45/31.38  | | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.45/31.38  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 193.45/31.38  | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 193.45/31.38  | | | | | |           e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 193.45/31.38  | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 193.45/31.38  | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.38  | | | | | |           $i(all_57_10))
% 193.45/31.38  | | | | | | 
% 193.45/31.38  | | | | | | BETA: splitting (51) gives:
% 193.45/31.38  | | | | | | 
% 193.45/31.38  | | | | | | Case 1:
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | |   (52)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.38  | | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 193.45/31.38  | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.45/31.38  | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 193.45/31.38  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 193.45/31.38  | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.38  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 193.45/31.38  | | | | | | |           $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3 &  ~
% 193.45/31.38  | | | | | | |           (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.45/31.38  | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1,
% 193.45/31.38  | | | | | | |             e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 193.45/31.38  | | | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 193.45/31.38  | | | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.38  | | | | | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.38  | | | | | | |           $i(all_57_2) & $i(all_57_14))
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | | BETA: splitting (52) gives:
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | | Case 1:
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | |   (53)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 193.45/31.38  | | | | | | | |           ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 193.45/31.38  | | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.45/31.38  | | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 193.45/31.38  | | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 193.45/31.38  | | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.38  | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 193.45/31.38  | | | | | | | |           & $i(all_57_12))
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | | REF_CLOSE: (11), (13), (53) are inconsistent by sub-proof #220.
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | Case 2:
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | |   (54)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) & 
% 193.45/31.38  | | | | | | | |           ~ (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 193.45/31.38  | | | | | | | |             e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 193.45/31.38  | | | | | | | |           & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 193.45/31.38  | | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 193.45/31.38  | | | | | | | |             e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.38  | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 193.45/31.38  | | | | | | | |           & $i(all_57_14))
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | | REF_CLOSE: (3), (11), (31), (54) are inconsistent by sub-proof
% 193.45/31.38  | | | | | | | |            #219.
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | End of split
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | Case 2:
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | |   (55)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.38  | | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 193.45/31.38  | | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.38  | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 193.45/31.38  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 193.45/31.38  | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.45/31.38  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.38  | | | | | | |           $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 193.45/31.38  | | | | | | |           (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2
% 193.45/31.38  | | | | | | |           & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.45/31.38  | | | | | | |           all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 =
% 193.45/31.38  | | | | | | |           e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 193.45/31.38  | | | | | | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.38  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.38  | | | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 193.45/31.38  | | | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.38  | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 193.45/31.38  | | | | | | |             e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | | BETA: splitting (55) gives:
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | | Case 1:
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | |   (56)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) & 
% 193.45/31.38  | | | | | | | |           ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 193.45/31.38  | | | | | | | |             e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.38  | | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 193.45/31.38  | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 193.45/31.38  | | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.45/31.38  | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 193.45/31.38  | | | | | | | |           & $i(all_57_10))
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | | REF_CLOSE: (2), (11), (12), (42), (56) are inconsistent by
% 193.45/31.38  | | | | | | | |            sub-proof #183.
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | Case 2:
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | |   (57)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 193.45/31.38  | | | | | | | |           ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.38  | | | | | | | |           all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.38  | | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.45/31.38  | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 193.45/31.38  | | | | | | | |             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.38  | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 193.45/31.38  | | | | | | | |           & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 & 
% 193.45/31.38  | | | | | | | |           ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.38  | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 193.45/31.38  | | | | | | | |             e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | | REF_CLOSE: (11), (13), (14), (24), (29), (34), (57) are
% 193.45/31.38  | | | | | | | |            inconsistent by sub-proof #62.
% 193.45/31.38  | | | | | | | | 
% 193.45/31.38  | | | | | | | End of split
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | End of split
% 193.45/31.38  | | | | | | 
% 193.45/31.38  | | | | | Case 2:
% 193.45/31.38  | | | | | | 
% 193.45/31.38  | | | | | |   (58)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.38  | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 193.45/31.38  | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 193.45/31.38  | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 & all_57_10
% 193.45/31.38  | | | | | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3,
% 193.45/31.38  | | | | | |             e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 193.45/31.38  | | | | | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.45/31.38  | | | | | |           $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 193.45/31.38  | | | | | |           (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.45/31.38  | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 193.45/31.38  | | | | | |           op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.45/31.38  | | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.45/31.38  | | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 193.45/31.38  | | | | | |           e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.45/31.38  | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 193.45/31.38  | | | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1)
% 193.45/31.38  | | | | | |           & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 193.45/31.38  | | | | | |           e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.38  | | | | | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~
% 193.45/31.38  | | | | | |           (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.45/31.38  | | | | | |           op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 & op(e2,
% 193.45/31.38  | | | | | |             e0) = e2 & $i(all_57_9) & $i(all_57_12)) | (all_57_10 =
% 193.45/31.38  | | | | | |           e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 193.45/31.38  | | | | | |             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1,
% 193.45/31.38  | | | | | |             e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.38  | | | | | |           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 193.45/31.38  | | | | | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.45/31.38  | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0)
% 193.45/31.38  | | | | | |           = all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12
% 193.45/31.38  | | | | | |           = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.45/31.38  | | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 193.45/31.38  | | | | | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.45/31.38  | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.45/31.38  | | | | | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 193.45/31.38  | | | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.38  | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.38  | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.45/31.38  | | | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.38  | | | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.38  | | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.38  | | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.45/31.38  | | | | | |               e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.38  | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 193.45/31.38  | | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.38  | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.38  | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.38  | | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.45/31.38  | | | | | |               e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.38  | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.38  | | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.45/31.38  | | | | | |               e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.38  | | | | | |               $i(all_57_7))))
% 193.45/31.38  | | | | | | 
% 193.45/31.38  | | | | | | BETA: splitting (58) gives:
% 193.45/31.38  | | | | | | 
% 193.45/31.38  | | | | | | Case 1:
% 193.45/31.38  | | | | | | | 
% 193.45/31.38  | | | | | | |   (59)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.38  | | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 193.45/31.38  | | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 193.45/31.38  | | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 193.45/31.38  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 193.45/31.38  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.45/31.38  | | | | | | |             e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.45/31.38  | | | | | | |           $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 193.45/31.38  | | | | | | |           (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.45/31.38  | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 193.45/31.38  | | | | | | |           op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.45/31.38  | | | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.45/31.38  | | | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 193.45/31.38  | | | | | | |           e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.45/31.38  | | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 193.45/31.38  | | | | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 193.45/31.38  | | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.38  | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10)
% 193.45/31.38  | | | | | | |           & $i(all_57_13))
% 193.45/31.39  | | | | | | | 
% 193.45/31.39  | | | | | | | BETA: splitting (59) gives:
% 193.45/31.39  | | | | | | | 
% 193.45/31.39  | | | | | | | Case 1:
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | |   (60)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) & 
% 193.45/31.39  | | | | | | | |           ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 193.45/31.39  | | | | | | | |             e1) = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 193.45/31.39  | | | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 193.45/31.39  | | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 193.45/31.39  | | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.39  | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.39  | | | | | | | |           $i(all_57_6) & $i(all_57_12))
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | | BETA: splitting (60) gives:
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | | Case 1:
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | |   (61)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) & 
% 193.45/31.39  | | | | | | | | |         ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 193.45/31.39  | | | | | | | | |           e1) = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 193.45/31.39  | | | | | | | | |         $i(all_57_8) & $i(all_57_10)
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | ALPHA: (61) implies:
% 193.45/31.39  | | | | | | | | |   (62)   ~ (all_57_10 = e1)
% 193.45/31.39  | | | | | | | | |   (63)  op(e3, e3) = all_57_10
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | REF_CLOSE: (11), (14), (62), (63) are inconsistent by
% 193.45/31.39  | | | | | | | | |            sub-proof #1319.
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | Case 2:
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | |   (64)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 193.45/31.39  | | | | | | | | |         ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.45/31.39  | | | | | | | | |         all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.39  | | | | | | | | |         $i(all_57_6) & $i(all_57_12)
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | ALPHA: (64) implies:
% 193.45/31.39  | | | | | | | | |   (65)  op(e2, e1) = e2
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | REF_CLOSE: (11), (21), (32), (65) are inconsistent by
% 193.45/31.39  | | | | | | | | |            sub-proof #1942.
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | End of split
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | Case 2:
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | |   (66)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) & 
% 193.45/31.39  | | | | | | | |           ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 193.45/31.39  | | | | | | | |             e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 193.45/31.39  | | | | | | | |           $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 193.45/31.39  | | | | | | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 193.45/31.39  | | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.39  | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.45/31.39  | | | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 193.45/31.39  | | | | | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 193.45/31.39  | | | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.39  | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.39  | | | | | | | |           $i(all_57_10) & $i(all_57_13))
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | | BETA: splitting (66) gives:
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | | Case 1:
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | |   (67)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) & 
% 193.45/31.39  | | | | | | | | |         ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 193.45/31.39  | | | | | | | | |           e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 193.45/31.39  | | | | | | | | |         $i(all_57_8) & $i(all_57_12)
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | ALPHA: (67) implies:
% 193.45/31.39  | | | | | | | | |   (68)  op(e2, e1) = e2
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | REF_CLOSE: (11), (21), (32), (68) are inconsistent by
% 193.45/31.39  | | | | | | | | |            sub-proof #1942.
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | Case 2:
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | |   (69)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.39  | | | | | | | | |           &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.39  | | | | | | | | |           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 193.45/31.39  | | | | | | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 193.45/31.39  | | | | | | | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.39  | | | | | | | | |           &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 193.45/31.39  | | | | | | | | |           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 193.45/31.39  | | | | | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | REF_CLOSE: (11), (13), (24), (36), (38), (69) are inconsistent
% 193.45/31.39  | | | | | | | | |            by sub-proof #61.
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | End of split
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | End of split
% 193.45/31.39  | | | | | | | 
% 193.45/31.39  | | | | | | Case 2:
% 193.45/31.39  | | | | | | | 
% 193.45/31.39  | | | | | | |   (70)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.45/31.39  | | | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.45/31.39  | | | | | | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.45/31.39  | | | | | | |           $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 193.45/31.39  | | | | | | |           all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 193.45/31.39  | | | | | | |             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1,
% 193.45/31.39  | | | | | | |             e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.39  | | | | | | |           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 193.45/31.39  | | | | | | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.45/31.39  | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 193.45/31.39  | | | | | | |             e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 193.45/31.39  | | | | | | |         (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 193.45/31.39  | | | | | | |           ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 193.45/31.39  | | | | | | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.45/31.39  | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 193.45/31.39  | | | | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 193.45/31.39  | | | | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.39  | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.39  | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.45/31.39  | | | | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.39  | | | | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.39  | | | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.39  | | | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.45/31.39  | | | | | | |               e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.39  | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 193.45/31.39  | | | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.39  | | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.39  | | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.39  | | | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.45/31.39  | | | | | | |               e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.39  | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.39  | | | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.45/31.39  | | | | | | |               e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.39  | | | | | | |               $i(all_57_7))))
% 193.45/31.39  | | | | | | | 
% 193.45/31.39  | | | | | | | BETA: splitting (70) gives:
% 193.45/31.39  | | | | | | | 
% 193.45/31.39  | | | | | | | Case 1:
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | |   (71)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) & 
% 193.45/31.39  | | | | | | | |           ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.45/31.39  | | | | | | | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.45/31.39  | | | | | | | |           $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 193.45/31.39  | | | | | | | |           all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 193.45/31.39  | | | | | | | |             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.39  | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.45/31.39  | | | | | | | |           $i(all_57_9) & $i(all_57_14))
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | | REF_CLOSE: (11), (14), (26), (71) are inconsistent by sub-proof
% 193.45/31.39  | | | | | | | |            #1936.
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | Case 2:
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | |   (72)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &
% 193.45/31.39  | | | | | | | |            ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 193.45/31.39  | | | | | | | |             e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13
% 193.45/31.39  | | | | | | | |           & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 193.45/31.39  | | | | | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 193.45/31.39  | | | | | | | |             e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.45/31.39  | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.45/31.39  | | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.45/31.39  | | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.45/31.39  | | | | | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.39  | | | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 193.45/31.39  | | | | | | | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 193.45/31.39  | | | | | | | |             (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 193.45/31.39  | | | | | | | |               &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 193.45/31.39  | | | | | | | |               op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 193.45/31.39  | | | | | | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.45/31.39  | | | | | | | |                 e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.45/31.39  | | | | | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.39  | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 & 
% 193.45/31.39  | | | | | | | |               ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 193.45/31.39  | | | | | | | |                 e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.39  | | | | | | | |               e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 193.45/31.39  | | | | | | | |               e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.45/31.39  | | | | | | | |               op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.45/31.39  | | | | | | | |                 e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.45/31.39  | | | | | | | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.39  | | | | | | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.39  | | | | | | | |               all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | | BETA: splitting (72) gives:
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | | Case 1:
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | |   (73)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0)
% 193.45/31.39  | | | | | | | | |         &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 193.45/31.39  | | | | | | | | |         op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 193.45/31.39  | | | | | | | | |         all_57_13 & $i(all_57_12) & $i(all_57_13)
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | ALPHA: (73) implies:
% 193.45/31.39  | | | | | | | | |   (74)  op(e1, e1) = e0
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | REF_CLOSE: (11), (24), (36), (74) are inconsistent by
% 193.45/31.39  | | | | | | | | |            sub-proof #1821.
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | Case 2:
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | |   (75)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 193.45/31.39  | | | | | | | | |           &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.45/31.39  | | | | | | | | |           = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 193.45/31.39  | | | | | | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.45/31.39  | | | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.45/31.39  | | | | | | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.39  | | | | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.45/31.39  | | | | | | | | |               op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.39  | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.45/31.39  | | | | | | | | |               &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.45/31.39  | | | | | | | | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.39  | | | | | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.45/31.39  | | | | | | | | |               all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.39  | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.45/31.39  | | | | | | | | |               = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.39  | | | | | | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.39  | | | | | | | | |                 e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.39  | | | | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.39  | | | | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.45/31.39  | | | | | | | | |               &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.45/31.39  | | | | | | | | |               op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.45/31.39  | | | | | | | | |                 e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.45/31.39  | | | | | | | | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.39  | | | | | | | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.45/31.39  | | | | | | | | |               = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | BETA: splitting (75) gives:
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | Case 1:
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | |   (76)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.39  | | | | | | | | | |           e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.45/31.39  | | | | | | | | | |         op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.45/31.39  | | | | | | | | | |         op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | ALPHA: (76) implies:
% 193.45/31.39  | | | | | | | | | |   (77)  op(e1, e0) = e1
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | REF_CLOSE: (11), (18), (23), (77) are inconsistent by
% 193.45/31.39  | | | | | | | | | |            sub-proof #1958.
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | Case 2:
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | |   (78)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 193.45/31.39  | | | | | | | | | |             = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.39  | | | | | | | | | |             (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.45/31.39  | | | | | | | | | |             op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.39  | | | | | | | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.45/31.39  | | | | | | | | | |             &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.45/31.39  | | | | | | | | | |             op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.39  | | | | | | | | | |               e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.45/31.39  | | | | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.39  | | | | | | | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.45/31.39  | | | | | | | | | |             = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.39  | | | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.39  | | | | | | | | | |               e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.39  | | | | | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.39  | | | | | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.45/31.39  | | | | | | | | | |             &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.45/31.39  | | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.45/31.39  | | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.45/31.39  | | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.39  | | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.45/31.39  | | | | | | | | | |             = all_57_7 & op(e0, e1) = e0 & $i(all_57_7)))
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | ALPHA: (78) implies:
% 193.45/31.39  | | | | | | | | | |   (79)  op(e0, e0) = all_57_15
% 193.45/31.39  | | | | | | | | | |   (80)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2)
% 193.45/31.39  | | | | | | | | | |           &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.45/31.39  | | | | | | | | | |           op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0))
% 193.45/31.39  | | | | | | | | | |         | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.39  | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.39  | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.39  | | | | | | | | | |           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 & 
% 193.45/31.39  | | | | | | | | | |           ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 193.45/31.39  | | | | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 193.45/31.39  | | | | | | | | | |           e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.45/31.39  | | | | | | | | | |           e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 193.45/31.39  | | | | | | | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 193.45/31.39  | | | | | | | | | |             e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.45/31.39  | | | | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.45/31.39  | | | | | | | | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.45/31.39  | | | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.45/31.39  | | | | | | | | | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 193.45/31.39  | | | | | | | | | |           &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 193.45/31.39  | | | | | | | | | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | GROUND_INST: instantiating (11) with e1, all_57_15, e0, e0,
% 193.45/31.39  | | | | | | | | | |              simplifying with (8), (79) gives:
% 193.45/31.39  | | | | | | | | | |   (81)  all_57_15 = e1
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | GROUND_INST: instantiating (11) with all_52_6, e1, e2, e1,
% 193.45/31.39  | | | | | | | | | |              simplifying with (5), (42) gives:
% 193.45/31.39  | | | | | | | | | |   (82)  all_52_6 = e1
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | GROUND_INST: instantiating (11) with all_52_9, e1, e1, e2,
% 193.45/31.39  | | | | | | | | | |              simplifying with (32), (50) gives:
% 193.45/31.39  | | | | | | | | | |   (83)  all_52_9 = e1
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | REDUCE: (15), (83) imply:
% 193.45/31.39  | | | | | | | | | |   (84)   ~ (e3 = e1)
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | REDUCE: (21), (83) imply:
% 193.45/31.39  | | | | | | | | | |   (85)   ~ (e2 = e1)
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | BETA: splitting (80) gives:
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | Case 1:
% 193.45/31.39  | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | |   (86)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.39  | | | | | | | | | | |             e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.39  | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.39  | | | | | | | | | | |           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.45/31.39  | | | | | | | | | | |           &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.45/31.39  | | | | | | | | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.39  | | | | | | | | | | |             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.45/31.39  | | | | | | | | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.39  | | | | | | | | | | |           (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.45/31.39  | | | | | | | | | | |           = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.45/31.39  | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | BETA: splitting (86) gives:
% 193.45/31.39  | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | Case 1:
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | |   (87)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.39  | | | | | | | | | | | |           e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.39  | | | | | | | | | | | |         all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.39  | | | | | | | | | | | |         $i(all_57_0)
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | | ALPHA: (87) implies:
% 193.45/31.39  | | | | | | | | | | | |   (88)   ~ (all_57_0 = e2)
% 193.45/31.39  | | | | | | | | | | | |   (89)  op(e0, e3) = e0
% 193.45/31.39  | | | | | | | | | | | |   (90)  op(e2, e3) = all_57_0
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_52_3, e0, e3, e0,
% 193.45/31.39  | | | | | | | | | | | |              simplifying with (16), (89) gives:
% 193.45/31.39  | | | | | | | | | | | |   (91)  all_52_3 = e0
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_52_1, all_57_0, e3,
% 193.45/31.39  | | | | | | | | | | | |              e2, simplifying with (37), (90) gives:
% 193.45/31.39  | | | | | | | | | | | |   (92)  all_57_0 = all_52_1
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | | REDUCE: (88), (92) imply:
% 193.45/31.39  | | | | | | | | | | | |   (93)   ~ (all_52_1 = e2)
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | | REDUCE: (33), (91) imply:
% 193.45/31.39  | | | | | | | | | | | |   (94)   ~ (all_52_1 = e0)
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | | REDUCE: (4), (91) imply:
% 193.45/31.39  | | | | | | | | | | | |   (95)   ~ (e1 = e0)
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | | REF_CLOSE: (7), (10), (11), (13), (21), (26), (30), (32),
% 193.45/31.39  | | | | | | | | | | | |            (36), (37), (38), (50), (93), (94) are
% 193.45/31.39  | | | | | | | | | | | |            inconsistent by sub-proof #49.
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | Case 2:
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | |   (96)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.39  | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.39  | | | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.39  | | | | | | | | | | | |           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 193.45/31.39  | | | | | | | | | | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 193.45/31.39  | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 193.45/31.39  | | | | | | | | | | | |             e2) = e0 & $i(all_57_3))
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | | REF_CLOSE: (10), (11), (14), (24), (29), (96) are
% 193.45/31.39  | | | | | | | | | | | |            inconsistent by sub-proof #439.
% 193.45/31.39  | | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | End of split
% 193.45/31.39  | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | Case 2:
% 193.45/31.39  | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | |   (97)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.39  | | | | | | | | | | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.39  | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.39  | | | | | | | | | | |           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.45/31.39  | | | | | | | | | | |           &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.45/31.39  | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.45/31.39  | | | | | | | | | | |             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.45/31.39  | | | | | | | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.39  | | | | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.45/31.39  | | | | | | | | | | |           = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.39  | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | | REF_CLOSE: (8), (11), (13), (34), (42), (79), (97) are
% 193.45/31.39  | | | | | | | | | | |            inconsistent by sub-proof #105.
% 193.45/31.39  | | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | | End of split
% 193.45/31.39  | | | | | | | | | | 
% 193.45/31.39  | | | | | | | | | End of split
% 193.45/31.39  | | | | | | | | | 
% 193.45/31.39  | | | | | | | | End of split
% 193.45/31.39  | | | | | | | | 
% 193.45/31.39  | | | | | | | End of split
% 193.45/31.39  | | | | | | | 
% 193.45/31.39  | | | | | | End of split
% 193.45/31.39  | | | | | | 
% 193.45/31.39  | | | | | End of split
% 193.45/31.39  | | | | | 
% 193.45/31.39  | | | | Case 2:
% 193.45/31.39  | | | | | 
% 193.45/31.39  | | | | |   (98)  all_56_10 = e1 & op(e2, e0) = e1
% 193.45/31.39  | | | | | 
% 193.45/31.39  | | | | | ALPHA: (98) implies:
% 193.45/31.39  | | | | |   (99)  op(e2, e0) = e1
% 193.45/31.39  | | | | | 
% 193.45/31.39  | | | | | REF_CLOSE: (11), (17), (19), (99) are inconsistent by sub-proof #1650.
% 193.45/31.39  | | | | | 
% 193.45/31.39  | | | | End of split
% 193.45/31.39  | | | | 
% 193.45/31.39  | | | End of split
% 193.45/31.39  | | | 
% 193.45/31.39  | | Case 2:
% 193.45/31.39  | | | 
% 193.45/31.39  | | |   (100)  all_56_13 = e1 & op(e0, e2) = e1
% 193.45/31.39  | | | 
% 193.45/31.39  | | | ALPHA: (100) implies:
% 193.45/31.39  | | |   (101)  op(e0, e2) = e1
% 193.45/31.39  | | | 
% 193.45/31.39  | | | REF_CLOSE: (11), (22), (35), (101) are inconsistent by sub-proof #1649.
% 193.45/31.39  | | | 
% 193.45/31.39  | | End of split
% 193.45/31.39  | | 
% 193.45/31.39  | End of split
% 193.45/31.39  | 
% 193.45/31.39  End of proof
% 193.45/31.39  
% 193.45/31.39  Sub-proof #49 shows that the following formulas are inconsistent:
% 193.45/31.39  ----------------------------------------------------------------
% 193.45/31.39    (1)   ~ (all_52_1 = e0)
% 193.45/31.39    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 193.45/31.39         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 193.45/31.39    (3)   ~ (e3 = e2)
% 193.45/31.39    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.39    (5)  op(e2, e1) = e1
% 193.45/31.39    (6)  op(e2, e2) = e3
% 193.45/31.39    (7)   ~ (all_52_9 = e2)
% 193.45/31.39    (8)   ~ (e1 = e0)
% 193.45/31.39    (9)   ~ (all_52_1 = e2)
% 193.45/31.39    (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 193.45/31.39          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 193.45/31.39    (11)  op(e2, e1) = all_52_9
% 193.45/31.39    (12)   ~ (e2 = e0)
% 193.45/31.39    (13)  op(e2, e3) = all_52_1
% 193.45/31.39    (14)   ~ (e3 = e0)
% 193.45/31.39  
% 193.45/31.39  Begin of proof
% 193.45/31.39  | 
% 193.45/31.39  | BETA: splitting (10) gives:
% 193.45/31.39  | 
% 193.45/31.39  | Case 1:
% 193.45/31.39  | | 
% 193.45/31.39  | |   (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 193.45/31.39  | |           e2)
% 193.45/31.39  | | 
% 193.45/31.39  | | REF_CLOSE: (3), (4), (6), (9), (13), (15) are inconsistent by sub-proof
% 193.45/31.39  | |            #212.
% 193.45/31.39  | | 
% 193.45/31.39  | Case 2:
% 193.45/31.39  | | 
% 193.45/31.39  | |   (16)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 193.45/31.39  | |           e2)
% 193.45/31.39  | | 
% 193.45/31.39  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (11), (12), (13), (14), (16)
% 193.45/31.39  | |            are inconsistent by sub-proof #50.
% 193.45/31.39  | | 
% 193.45/31.39  | End of split
% 193.45/31.39  | 
% 193.45/31.39  End of proof
% 193.45/31.39  
% 193.45/31.39  Sub-proof #50 shows that the following formulas are inconsistent:
% 193.45/31.39  ----------------------------------------------------------------
% 193.45/31.39    (1)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 193.45/31.39    (2)   ~ (all_52_1 = e0)
% 193.45/31.39    (3)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 193.45/31.39         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 193.45/31.39    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.39    (5)  op(e2, e1) = e1
% 193.45/31.39    (6)  op(e2, e2) = e3
% 193.45/31.39    (7)   ~ (all_52_9 = e2)
% 193.45/31.39    (8)   ~ (e1 = e0)
% 193.45/31.39    (9)  op(e2, e1) = all_52_9
% 193.45/31.39    (10)   ~ (e2 = e0)
% 193.45/31.39    (11)  op(e2, e3) = all_52_1
% 193.45/31.39    (12)   ~ (e3 = e0)
% 193.45/31.39  
% 193.45/31.39  Begin of proof
% 193.45/31.39  | 
% 193.45/31.39  | BETA: splitting (1) gives:
% 193.45/31.39  | 
% 193.45/31.39  | Case 1:
% 193.45/31.39  | | 
% 193.45/31.39  | |   (13)  all_56_5 = e2 & op(e2, e1) = e2
% 193.45/31.39  | | 
% 193.45/31.39  | | ALPHA: (13) implies:
% 193.45/31.39  | |   (14)  op(e2, e1) = e2
% 193.45/31.39  | | 
% 193.45/31.39  | | REF_CLOSE: (4), (7), (9), (14) are inconsistent by sub-proof #1942.
% 193.45/31.39  | | 
% 193.45/31.39  | Case 2:
% 193.45/31.39  | | 
% 193.45/31.39  | |   (15)  all_56_10 = e2 & op(e2, e0) = e2
% 193.45/31.39  | | 
% 193.45/31.39  | | ALPHA: (15) implies:
% 193.45/31.39  | |   (16)  all_56_10 = e2
% 193.45/31.39  | | 
% 193.45/31.39  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (10), (11), (12), (16) are
% 193.45/31.39  | |            inconsistent by sub-proof #51.
% 193.45/31.39  | | 
% 193.45/31.39  | End of split
% 193.45/31.39  | 
% 193.45/31.39  End of proof
% 193.45/31.39  
% 193.45/31.39  Sub-proof #51 shows that the following formulas are inconsistent:
% 193.45/31.39  ----------------------------------------------------------------
% 193.45/31.39    (1)   ~ (all_52_1 = e0)
% 193.45/31.39    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 193.45/31.39         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 193.45/31.39    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.39    (4)  op(e2, e1) = e1
% 193.45/31.39    (5)  all_56_10 = e2
% 193.45/31.39    (6)  op(e2, e2) = e3
% 193.45/31.39    (7)   ~ (e1 = e0)
% 193.45/31.39    (8)   ~ (e2 = e0)
% 193.45/31.39    (9)  op(e2, e3) = all_52_1
% 193.45/31.39    (10)   ~ (e3 = e0)
% 193.45/31.39  
% 193.45/31.39  Begin of proof
% 193.45/31.39  | 
% 193.45/31.39  | BETA: splitting (2) gives:
% 193.45/31.39  | 
% 193.45/31.39  | Case 1:
% 193.45/31.39  | | 
% 193.45/31.39  | |   (11)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 193.45/31.39  | |           e0)
% 193.45/31.39  | | 
% 193.45/31.39  | | REF_CLOSE: (1), (3), (6), (9), (10), (11) are inconsistent by sub-proof #89.
% 193.45/31.39  | | 
% 193.45/31.39  | Case 2:
% 193.45/31.39  | | 
% 193.45/31.39  | |   (12)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 193.45/31.39  | |           e0)
% 193.45/31.39  | | 
% 193.45/31.39  | | BETA: splitting (12) gives:
% 193.45/31.39  | | 
% 193.45/31.39  | | Case 1:
% 193.45/31.39  | | | 
% 193.45/31.39  | | |   (13)  all_56_5 = e0 & op(e2, e1) = e0
% 193.45/31.39  | | | 
% 193.45/31.39  | | | ALPHA: (13) implies:
% 193.45/31.39  | | |   (14)  op(e2, e1) = e0
% 193.45/31.39  | | | 
% 193.45/31.39  | | | REF_CLOSE: (3), (4), (7), (14) are inconsistent by sub-proof #72.
% 193.45/31.39  | | | 
% 193.45/31.39  | | Case 2:
% 193.45/31.39  | | | 
% 193.45/31.39  | | |   (15)  all_56_10 = e0 & op(e2, e0) = e0
% 193.45/31.39  | | | 
% 193.45/31.39  | | | ALPHA: (15) implies:
% 193.45/31.39  | | |   (16)  all_56_10 = e0
% 193.45/31.39  | | | 
% 193.45/31.39  | | | REF_CLOSE: (5), (8), (16) are inconsistent by sub-proof #1342.
% 193.45/31.39  | | | 
% 193.45/31.39  | | End of split
% 193.45/31.39  | | 
% 193.45/31.39  | End of split
% 193.45/31.39  | 
% 193.45/31.39  End of proof
% 193.45/31.39  
% 193.45/31.39  Sub-proof #52 shows that the following formulas are inconsistent:
% 193.45/31.39  ----------------------------------------------------------------
% 193.45/31.39    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.39    (2)  op(e2, e2) = e3
% 193.45/31.39    (3)  op(e0, e2) = e0
% 193.45/31.39    (4)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 193.45/31.39             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.39           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.45/31.39           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 193.45/31.39           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 193.45/31.39           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.39    (5)   ~ (e3 = e1)
% 193.45/31.39  
% 193.45/31.39  Begin of proof
% 193.45/31.39  | 
% 193.45/31.39  | BETA: splitting (4) gives:
% 193.45/31.39  | 
% 193.45/31.39  | Case 1:
% 193.45/31.39  | | 
% 193.45/31.39  | |   (6)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 193.45/31.39  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.39  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 193.45/31.39  | | 
% 193.45/31.39  | | ALPHA: (6) implies:
% 193.45/31.39  | |   (7)   ~ (all_57_5 = e0)
% 193.45/31.39  | |   (8)  op(e0, e2) = all_57_5
% 193.45/31.39  | | 
% 193.45/31.39  | | REF_CLOSE: (1), (3), (7), (8) are inconsistent by sub-proof #1589.
% 193.45/31.39  | | 
% 193.45/31.39  | Case 2:
% 193.45/31.39  | | 
% 193.45/31.39  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 193.45/31.39  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.45/31.39  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 193.45/31.39  | | 
% 193.45/31.39  | | ALPHA: (9) implies:
% 193.45/31.39  | |   (10)  op(e2, e2) = e1
% 193.45/31.39  | | 
% 193.45/31.39  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1679.
% 193.45/31.39  | | 
% 193.45/31.39  | End of split
% 193.45/31.39  | 
% 193.45/31.39  End of proof
% 193.45/31.39  
% 193.45/31.39  Sub-proof #53 shows that the following formulas are inconsistent:
% 193.45/31.39  ----------------------------------------------------------------
% 193.45/31.40    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.40    (2)   ~ (all_52_9 = e1)
% 193.45/31.40    (3)  op(e2, e2) = e3
% 193.45/31.40    (4)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 193.45/31.40           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 193.45/31.40           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 193.45/31.40                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 193.45/31.40               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 193.45/31.40               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.45/31.40           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 193.45/31.40           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.40               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.40           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 193.45/31.40               = all_57_5 & $i(all_57_5))))
% 193.45/31.40    (5)  op(e2, e1) = all_52_9
% 193.45/31.40    (6)   ~ (e3 = e1)
% 193.45/31.40  
% 193.45/31.40  Begin of proof
% 193.45/31.40  | 
% 193.45/31.40  | BETA: splitting (4) gives:
% 193.45/31.40  | 
% 193.45/31.40  | Case 1:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 193.45/31.40  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 193.45/31.40  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 193.45/31.40  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 193.45/31.40  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 193.45/31.40  | |            & $i(all_57_8)))
% 193.45/31.40  | | 
% 193.45/31.40  | | ALPHA: (7) implies:
% 193.45/31.40  | |   (8)  op(e2, e2) = e1
% 193.45/31.40  | | 
% 193.45/31.40  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1679.
% 193.45/31.40  | | 
% 193.45/31.40  | Case 2:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 193.45/31.40  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.45/31.40  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 193.45/31.40  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.45/31.40  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 193.45/31.40  | |            & $i(all_57_5)))
% 193.45/31.40  | | 
% 193.45/31.40  | | ALPHA: (9) implies:
% 193.45/31.40  | |   (10)  op(e2, e1) = e1
% 193.45/31.40  | | 
% 193.45/31.40  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1755.
% 193.45/31.40  | | 
% 193.45/31.40  | End of split
% 193.45/31.40  | 
% 193.45/31.40  End of proof
% 193.45/31.40  
% 193.45/31.40  Sub-proof #54 shows that the following formulas are inconsistent:
% 193.45/31.40  ----------------------------------------------------------------
% 193.45/31.40    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 193.45/31.40    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.40    (3)  op(e3, e2) = all_52_4
% 193.45/31.40    (4)  op(e2, e2) = e3
% 193.45/31.40    (5)   ~ (all_52_4 = e0)
% 193.45/31.40    (6)   ~ (e3 = e0)
% 193.45/31.40  
% 193.45/31.40  Begin of proof
% 193.45/31.40  | 
% 193.45/31.40  | BETA: splitting (1) gives:
% 193.45/31.40  | 
% 193.45/31.40  | Case 1:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (7)  all_56_1 = e0 & op(e3, e2) = e0
% 193.45/31.40  | | 
% 193.45/31.40  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #389.
% 193.45/31.40  | | 
% 193.45/31.40  | Case 2:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 193.45/31.40  | | 
% 193.45/31.40  | | ALPHA: (8) implies:
% 193.45/31.40  | |   (9)  op(e2, e2) = e0
% 193.45/31.40  | | 
% 193.45/31.40  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #202.
% 193.45/31.40  | | 
% 193.45/31.40  | End of split
% 193.45/31.40  | 
% 193.45/31.40  End of proof
% 193.45/31.40  
% 193.45/31.40  Sub-proof #55 shows that the following formulas are inconsistent:
% 193.45/31.40  ----------------------------------------------------------------
% 193.45/31.40    (1)   ~ (e3 = e2)
% 193.45/31.40    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.40    (3)  op(e0, e1) = all_52_11
% 193.45/31.40    (4)  op(e1, e1) = e2
% 193.45/31.40    (5)   ~ (all_52_11 = e3)
% 193.45/31.40    (6)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 193.45/31.40  
% 193.45/31.40  Begin of proof
% 193.45/31.40  | 
% 193.45/31.40  | BETA: splitting (6) gives:
% 193.45/31.40  | 
% 193.45/31.40  | Case 1:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 193.45/31.40  | | 
% 193.45/31.40  | | ALPHA: (7) implies:
% 193.45/31.40  | |   (8)  op(e1, e1) = e3
% 193.45/31.40  | | 
% 193.45/31.40  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1777.
% 193.45/31.40  | | 
% 193.45/31.40  | Case 2:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 193.45/31.40  | | 
% 193.45/31.40  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #154.
% 193.45/31.40  | | 
% 193.45/31.40  | End of split
% 193.45/31.40  | 
% 193.45/31.40  End of proof
% 193.45/31.40  
% 193.45/31.40  Sub-proof #56 shows that the following formulas are inconsistent:
% 193.45/31.40  ----------------------------------------------------------------
% 193.45/31.40    (1)  all_54_0 = all_6_2
% 193.45/31.40    (2)  op(e1, e2) = all_52_6
% 193.45/31.40    (3)  op(e3, e3) = all_6_2
% 193.45/31.40    (4)   ~ (all_52_6 = all_52_7)
% 193.45/31.40    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.40    (6)   ~ (all_6_2 = e0)
% 193.45/31.40    (7)  op(e2, e2) = e3
% 193.45/31.40    (8)  all_54_9 = all_52_6
% 193.45/31.40    (9)  op(e0, e0) = all_57_15
% 193.45/31.40    (10)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.40              e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.40            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.45/31.40             ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.40              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.40            (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.40            all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 193.45/31.40            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 193.45/31.40            = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.45/31.40          (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.45/31.40              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.40            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 193.45/31.40             ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 193.45/31.40              e1) = e0 & $i(all_57_7))
% 193.45/31.40    (11)   ~ (all_52_6 = e2)
% 193.45/31.40    (12)  op(e3, e1) = e3
% 193.45/31.40    (13)  op(e3, e1) = all_42_1
% 193.45/31.40    (14)   ~ (all_52_6 = e3)
% 193.45/31.40    (15)  all_54_0 = e1 | all_54_0 = e0
% 193.45/31.40    (16)  op(e0, e0) = e3
% 193.45/31.40    (17)   ~ (e3 = e1)
% 193.45/31.40    (18)  op(e0, e2) = all_52_7
% 193.45/31.40    (19)   ~ (all_6_2 = e2)
% 193.45/31.40    (20)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.45/31.40  
% 193.45/31.40  Begin of proof
% 193.45/31.40  | 
% 193.45/31.40  | GROUND_INST: instantiating (5) with e3, all_57_15, e0, e0, simplifying with
% 193.45/31.40  |              (9), (16) gives:
% 193.45/31.40  |   (21)  all_57_15 = e3
% 193.45/31.40  | 
% 193.45/31.40  | GROUND_INST: instantiating (5) with e3, all_42_1, e1, e3, simplifying with
% 193.45/31.40  |              (12), (13) gives:
% 193.45/31.40  |   (22)  all_42_1 = e3
% 193.45/31.40  | 
% 193.45/31.40  | BETA: splitting (10) gives:
% 193.45/31.40  | 
% 193.45/31.40  | Case 1:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (23)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 193.45/31.40  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 193.45/31.40  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.45/31.40  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 193.45/31.40  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 193.45/31.40  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 193.45/31.40  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.40  | |           $i(all_57_3))
% 193.45/31.40  | | 
% 193.45/31.40  | | BETA: splitting (23) gives:
% 193.45/31.40  | | 
% 193.45/31.40  | | Case 1:
% 193.45/31.40  | | | 
% 193.45/31.40  | | |   (24)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.40  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.45/31.40  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 193.45/31.40  | | | 
% 193.45/31.40  | | | ALPHA: (24) implies:
% 193.45/31.40  | | |   (25)   ~ (all_57_15 = e3)
% 193.45/31.40  | | | 
% 193.45/31.40  | | | REF_CLOSE: (5), (9), (16), (25) are inconsistent by sub-proof #1276.
% 193.45/31.40  | | | 
% 193.45/31.40  | | Case 2:
% 193.45/31.40  | | | 
% 193.45/31.40  | | |   (26)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.40  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.45/31.40  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.45/31.40  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.40  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.45/31.40  | | | 
% 193.45/31.40  | | | BETA: splitting (26) gives:
% 193.45/31.40  | | | 
% 193.45/31.40  | | | Case 1:
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | |   (27)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.40  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.45/31.40  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | ALPHA: (27) implies:
% 193.45/31.40  | | | |   (28)   ~ (all_57_15 = e3)
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | REF_CLOSE: (5), (9), (16), (28) are inconsistent by sub-proof #1276.
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | Case 2:
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | |   (29)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.40  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 193.45/31.40  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | ALPHA: (29) implies:
% 193.45/31.40  | | | |   (30)  op(e3, e3) = e2
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | REF_CLOSE: (1), (3), (5), (6), (15), (19), (30) are inconsistent by
% 193.45/31.40  | | | |            sub-proof #140.
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | End of split
% 193.45/31.40  | | | 
% 193.45/31.40  | | End of split
% 193.45/31.40  | | 
% 193.45/31.40  | Case 2:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (31)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.40  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.40  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.40  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.40  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.40  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.40  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.40  | |           $i(all_57_7))
% 193.45/31.40  | | 
% 193.45/31.40  | | BETA: splitting (31) gives:
% 193.45/31.40  | | 
% 193.45/31.40  | | Case 1:
% 193.45/31.40  | | | 
% 193.45/31.40  | | |   (32)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.40  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.40  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 193.45/31.40  | | | 
% 193.45/31.40  | | | ALPHA: (32) implies:
% 193.45/31.40  | | |   (33)   ~ (all_57_4 = e1)
% 193.45/31.40  | | |   (34)  op(e0, e2) = e0
% 193.45/31.40  | | |   (35)  op(e1, e2) = all_57_4
% 193.45/31.40  | | | 
% 193.45/31.40  | | | GROUND_INST: instantiating (5) with all_52_7, e0, e2, e0, simplifying with
% 193.45/31.40  | | |              (18), (34) gives:
% 193.45/31.40  | | |   (36)  all_52_7 = e0
% 193.45/31.40  | | | 
% 193.45/31.40  | | | GROUND_INST: instantiating (5) with all_52_6, all_57_4, e2, e1,
% 193.45/31.40  | | |              simplifying with (2), (35) gives:
% 193.45/31.40  | | |   (37)  all_57_4 = all_52_6
% 193.45/31.40  | | | 
% 193.45/31.40  | | | REDUCE: (33), (37) imply:
% 193.45/31.40  | | |   (38)   ~ (all_52_6 = e1)
% 193.45/31.40  | | | 
% 193.45/31.40  | | | REDUCE: (4), (36) imply:
% 193.45/31.40  | | |   (39)   ~ (all_52_6 = e0)
% 193.45/31.40  | | | 
% 193.45/31.40  | | | BETA: splitting (20) gives:
% 193.45/31.40  | | | 
% 193.45/31.40  | | | Case 1:
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | |   (40)  all_54_9 = e3
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | COMBINE_EQS: (8), (40) imply:
% 193.45/31.40  | | | |   (41)  all_52_6 = e3
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | REDUCE: (14), (41) imply:
% 193.45/31.40  | | | |   (42)  $false
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | CLOSE: (42) is inconsistent.
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | Case 2:
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | |   (43)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | REF_CLOSE: (8), (11), (38), (39), (43) are inconsistent by sub-proof
% 193.45/31.40  | | | |            #951.
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | End of split
% 193.45/31.40  | | | 
% 193.45/31.40  | | Case 2:
% 193.45/31.40  | | | 
% 193.45/31.40  | | |   (44)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.45/31.40  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.40  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.45/31.40  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 193.45/31.40  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.40  | | | 
% 193.45/31.40  | | | REF_CLOSE: (5), (7), (12), (17), (44) are inconsistent by sub-proof #136.
% 193.45/31.40  | | | 
% 193.45/31.40  | | End of split
% 193.45/31.40  | | 
% 193.45/31.40  | End of split
% 193.45/31.40  | 
% 193.45/31.40  End of proof
% 193.45/31.40  
% 193.45/31.40  Sub-proof #57 shows that the following formulas are inconsistent:
% 193.45/31.40  ----------------------------------------------------------------
% 193.45/31.40    (1)  op(e3, e3) = e0
% 193.45/31.40    (2)  all_54_0 = all_6_2
% 193.45/31.40    (3)  op(e3, e3) = all_6_2
% 193.45/31.40    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.40    (5)   ~ (all_6_2 = e0)
% 193.45/31.40    (6)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 193.45/31.40    (7)   ~ (all_6_2 = e2)
% 193.45/31.40  
% 193.45/31.40  Begin of proof
% 193.45/31.40  | 
% 193.45/31.40  | BETA: splitting (6) gives:
% 193.45/31.40  | 
% 193.45/31.40  | Case 1:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (8)  all_54_0 = e2
% 193.45/31.40  | | 
% 193.45/31.40  | | REF_CLOSE: (2), (7), (8) are inconsistent by sub-proof #1224.
% 193.45/31.40  | | 
% 193.45/31.40  | Case 2:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (9)  all_54_0 = e1 | all_54_0 = e0
% 193.45/31.40  | | 
% 193.45/31.40  | | REF_CLOSE: (1), (2), (3), (4), (5), (9) are inconsistent by sub-proof #138.
% 193.45/31.40  | | 
% 193.45/31.40  | End of split
% 193.45/31.40  | 
% 193.45/31.40  End of proof
% 193.45/31.40  
% 193.45/31.40  Sub-proof #58 shows that the following formulas are inconsistent:
% 193.45/31.40  ----------------------------------------------------------------
% 193.45/31.40    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.40    (2)  op(e2, e2) = e3
% 193.45/31.40    (3)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 193.45/31.40             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 193.45/31.40           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 193.45/31.40           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 193.45/31.40             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 193.45/31.40             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 193.45/31.40           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.40           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.45/31.40           $i(all_57_7) & $i(all_57_10))
% 193.45/31.40    (4)  op(e1, e1) = e2
% 193.45/31.40    (5)   ~ (e3 = e1)
% 193.45/31.40  
% 193.45/31.40  Begin of proof
% 193.45/31.40  | 
% 193.45/31.40  | BETA: splitting (3) gives:
% 193.45/31.40  | 
% 193.45/31.40  | Case 1:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (6)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 193.45/31.40  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 193.45/31.40  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 193.45/31.40  | | 
% 193.45/31.40  | | ALPHA: (6) implies:
% 193.45/31.40  | |   (7)   ~ (all_57_14 = e2)
% 193.45/31.40  | |   (8)  op(e1, e1) = all_57_14
% 193.45/31.40  | | 
% 193.45/31.40  | | REF_CLOSE: (1), (4), (7), (8) are inconsistent by sub-proof #435.
% 193.45/31.40  | | 
% 193.45/31.40  | Case 2:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (9)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 193.45/31.40  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.40  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 193.45/31.40  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 193.45/31.40  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 193.45/31.40  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.40  | | 
% 193.45/31.40  | | REF_CLOSE: (1), (2), (4), (5), (9) are inconsistent by sub-proof #68.
% 193.45/31.40  | | 
% 193.45/31.40  | End of split
% 193.45/31.40  | 
% 193.45/31.40  End of proof
% 193.45/31.40  
% 193.45/31.40  Sub-proof #59 shows that the following formulas are inconsistent:
% 193.45/31.40  ----------------------------------------------------------------
% 193.45/31.40    (1)   ~ (e3 = e2)
% 193.45/31.40    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.40    (3)  op(e2, e2) = e3
% 193.45/31.40    (4)   ~ (all_52_7 = all_52_11)
% 193.45/31.40    (5)   ~ (all_52_9 = e3)
% 193.45/31.40    (6)  op(e0, e3) = all_52_3
% 193.45/31.40    (7)  op(e0, e0) = all_57_15
% 193.45/31.40    (8)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.40             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.40           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 193.45/31.40           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.40             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.40           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.40           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.40           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 193.45/31.40           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.45/31.40           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 193.45/31.40           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.45/31.40         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.40             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.40           $i(all_57_7))
% 193.45/31.40    (9)  op(e0, e1) = all_52_11
% 193.45/31.40    (10)  op(e1, e1) = e2
% 193.45/31.40    (11)  op(e2, e3) = e2
% 193.45/31.40    (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 193.45/31.40          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 193.45/31.40    (13)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 193.45/31.40              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 193.45/31.40                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 193.45/31.40                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 193.45/31.40    (14)  op(e2, e1) = all_52_9
% 193.45/31.40    (15)  op(e0, e0) = e2
% 193.45/31.40    (16)   ~ (e3 = e1)
% 193.45/31.40    (17)  op(e0, e2) = all_52_7
% 193.45/31.40    (18)   ~ (e3 = e0)
% 193.45/31.40    (19)   ~ (all_52_3 = all_52_11)
% 193.45/31.40    (20)   ~ (all_52_11 = e2)
% 193.45/31.40  
% 193.45/31.40  Begin of proof
% 193.45/31.40  | 
% 193.45/31.40  | BETA: splitting (8) gives:
% 193.45/31.40  | 
% 193.45/31.40  | Case 1:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (21)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 193.45/31.40  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 193.45/31.40  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.45/31.40  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 193.45/31.40  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 193.45/31.40  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 193.45/31.40  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.40  | |           $i(all_57_3))
% 193.45/31.40  | | 
% 193.45/31.40  | | BETA: splitting (21) gives:
% 193.45/31.40  | | 
% 193.45/31.40  | | Case 1:
% 193.45/31.40  | | | 
% 193.45/31.40  | | |   (22)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.40  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.45/31.40  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 193.45/31.40  | | | 
% 193.45/31.40  | | | ALPHA: (22) implies:
% 193.45/31.40  | | |   (23)   ~ (all_57_0 = e2)
% 193.45/31.40  | | |   (24)  op(e2, e3) = all_57_0
% 193.45/31.40  | | | 
% 193.45/31.40  | | | REF_CLOSE: (2), (11), (23), (24) are inconsistent by sub-proof #66.
% 193.45/31.40  | | | 
% 193.45/31.40  | | Case 2:
% 193.45/31.40  | | | 
% 193.45/31.40  | | |   (25)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.40  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.45/31.40  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.45/31.40  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.40  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.45/31.40  | | | 
% 193.45/31.40  | | | REF_CLOSE: (1), (2), (7), (10), (15), (25) are inconsistent by sub-proof
% 193.45/31.40  | | |            #530.
% 193.45/31.40  | | | 
% 193.45/31.40  | | End of split
% 193.45/31.40  | | 
% 193.45/31.40  | Case 2:
% 193.45/31.40  | | 
% 193.45/31.40  | |   (26)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.40  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.40  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.40  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.40  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.40  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.40  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.40  | |           $i(all_57_7))
% 193.45/31.40  | | 
% 193.45/31.40  | | BETA: splitting (26) gives:
% 193.45/31.40  | | 
% 193.45/31.40  | | Case 1:
% 193.45/31.40  | | | 
% 193.45/31.40  | | |   (27)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.40  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.40  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 193.45/31.40  | | | 
% 193.45/31.40  | | | ALPHA: (27) implies:
% 193.45/31.40  | | |   (28)   ~ (all_57_15 = e2)
% 193.45/31.40  | | | 
% 193.45/31.40  | | | REF_CLOSE: (2), (7), (15), (28) are inconsistent by sub-proof #748.
% 193.45/31.40  | | | 
% 193.45/31.40  | | Case 2:
% 193.45/31.40  | | | 
% 193.45/31.40  | | |   (29)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.45/31.40  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.40  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.45/31.40  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 193.45/31.40  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.40  | | | 
% 193.45/31.40  | | | BETA: splitting (29) gives:
% 193.45/31.40  | | | 
% 193.45/31.40  | | | Case 1:
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | |   (30)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.45/31.40  | | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.40  | | | |         op(e0, e1) = e0 & $i(all_57_6)
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | ALPHA: (30) implies:
% 193.45/31.40  | | | |   (31)   ~ (all_57_6 = e3)
% 193.45/31.40  | | | |   (32)  op(e0, e1) = e0
% 193.45/31.40  | | | |   (33)  op(e3, e1) = all_57_6
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | GROUND_INST: instantiating (2) with all_52_11, e0, e1, e0, simplifying
% 193.45/31.40  | | | |              with (9), (32) gives:
% 193.45/31.40  | | | |   (34)  all_52_11 = e0
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | REDUCE: (19), (34) imply:
% 193.45/31.40  | | | |   (35)   ~ (all_52_3 = e0)
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | REDUCE: (4), (34) imply:
% 193.45/31.40  | | | |   (36)   ~ (all_52_7 = e0)
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | REDUCE: (20), (34) imply:
% 193.45/31.40  | | | |   (37)   ~ (e2 = e0)
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | SIMP: (37) implies:
% 193.45/31.40  | | | |   (38)   ~ (e2 = e0)
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | BETA: splitting (12) gives:
% 193.45/31.40  | | | | 
% 193.45/31.40  | | | | Case 1:
% 193.45/31.40  | | | | | 
% 193.45/31.40  | | | | |   (39)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2,
% 193.45/31.40  | | | | |             e1) = e3)
% 193.45/31.40  | | | | | 
% 193.45/31.40  | | | | | BETA: splitting (39) gives:
% 193.45/31.40  | | | | | 
% 193.45/31.40  | | | | | Case 1:
% 193.45/31.40  | | | | | | 
% 193.45/31.40  | | | | | |   (40)  all_56_4 = e3 & op(e3, e1) = e3
% 193.45/31.40  | | | | | | 
% 193.45/31.40  | | | | | | ALPHA: (40) implies:
% 193.45/31.40  | | | | | |   (41)  op(e3, e1) = e3
% 193.45/31.40  | | | | | | 
% 193.45/31.40  | | | | | | REF_CLOSE: (2), (31), (33), (41) are inconsistent by sub-proof #675.
% 193.45/31.40  | | | | | | 
% 193.45/31.40  | | | | | Case 2:
% 193.45/31.40  | | | | | | 
% 193.45/31.40  | | | | | |   (42)  all_56_5 = e3 & op(e2, e1) = e3
% 193.45/31.40  | | | | | | 
% 193.45/31.40  | | | | | | ALPHA: (42) implies:
% 193.45/31.40  | | | | | |   (43)  op(e2, e1) = e3
% 193.45/31.40  | | | | | | 
% 193.45/31.40  | | | | | | REF_CLOSE: (2), (5), (14), (43) are inconsistent by sub-proof #1758.
% 193.45/31.40  | | | | | | 
% 193.45/31.40  | | | | | End of split
% 193.45/31.40  | | | | | 
% 193.45/31.40  | | | | Case 2:
% 193.45/31.40  | | | | | 
% 193.45/31.40  | | | | |   (44)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0,
% 193.45/31.40  | | | | |             e1) = e3)
% 193.45/31.40  | | | | | 
% 193.45/31.40  | | | | | BETA: splitting (44) gives:
% 193.45/31.40  | | | | | 
% 193.45/31.40  | | | | | Case 1:
% 193.45/31.40  | | | | | | 
% 193.45/31.41  | | | | | |   (45)  all_56_8 = e3 & op(e1, e1) = e3
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | | ALPHA: (45) implies:
% 193.45/31.41  | | | | | |   (46)  op(e1, e1) = e3
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | | REF_CLOSE: (1), (2), (10), (46) are inconsistent by sub-proof #1777.
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | Case 2:
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | |   (47)  all_56_14 = e3 & op(e0, e1) = e3
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | | ALPHA: (47) implies:
% 193.45/31.41  | | | | | |   (48)  all_56_14 = e3
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | | BETA: splitting (13) gives:
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | | Case 1:
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | |   (49)  all_56_15 = e0 & op(e0, e0) = e0
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | ALPHA: (49) implies:
% 193.45/31.41  | | | | | | |   (50)  op(e0, e0) = e0
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | REF_CLOSE: (2), (15), (38), (50) are inconsistent by sub-proof
% 193.45/31.41  | | | | | | |            #1945.
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | Case 2:
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | |   (51)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 193.45/31.41  | | | | | | |             op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0))
% 193.45/31.41  | | | | | | |         & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 193.45/31.41  | | | | | | |             op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | ALPHA: (51) implies:
% 193.45/31.41  | | | | | | |   (52)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 193.45/31.41  | | | | | | |           op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | BETA: splitting (52) gives:
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | Case 1:
% 193.45/31.41  | | | | | | | | 
% 193.45/31.41  | | | | | | | |   (53)  all_56_12 = e0 & op(e0, e3) = e0
% 193.45/31.41  | | | | | | | | 
% 193.45/31.41  | | | | | | | | ALPHA: (53) implies:
% 193.45/31.41  | | | | | | | |   (54)  op(e0, e3) = e0
% 193.45/31.41  | | | | | | | | 
% 193.45/31.41  | | | | | | | | REF_CLOSE: (2), (6), (35), (54) are inconsistent by sub-proof
% 193.45/31.41  | | | | | | | |            #1935.
% 193.45/31.41  | | | | | | | | 
% 193.45/31.41  | | | | | | | Case 2:
% 193.45/31.41  | | | | | | | | 
% 193.45/31.41  | | | | | | | |   (55)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 &
% 193.45/31.41  | | | | | | | |           op(e0, e1) = e0)
% 193.45/31.41  | | | | | | | | 
% 193.45/31.41  | | | | | | | | BETA: splitting (55) gives:
% 193.45/31.41  | | | | | | | | 
% 193.45/31.41  | | | | | | | | Case 1:
% 193.45/31.41  | | | | | | | | | 
% 193.45/31.41  | | | | | | | | |   (56)  all_56_13 = e0 & op(e0, e2) = e0
% 193.45/31.41  | | | | | | | | | 
% 193.45/31.41  | | | | | | | | | ALPHA: (56) implies:
% 193.45/31.41  | | | | | | | | |   (57)  op(e0, e2) = e0
% 193.45/31.41  | | | | | | | | | 
% 193.45/31.41  | | | | | | | | | REF_CLOSE: (2), (17), (36), (57) are inconsistent by sub-proof
% 193.45/31.41  | | | | | | | | |            #818.
% 193.45/31.41  | | | | | | | | | 
% 193.45/31.41  | | | | | | | | Case 2:
% 193.45/31.41  | | | | | | | | | 
% 193.45/31.41  | | | | | | | | |   (58)  all_56_14 = e0 & op(e0, e1) = e0
% 193.45/31.41  | | | | | | | | | 
% 193.45/31.41  | | | | | | | | | REF_CLOSE: (18), (48), (58) are inconsistent by sub-proof
% 193.45/31.41  | | | | | | | | |            #861.
% 193.45/31.41  | | | | | | | | | 
% 193.45/31.41  | | | | | | | | End of split
% 193.45/31.41  | | | | | | | | 
% 193.45/31.41  | | | | | | | End of split
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | End of split
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | End of split
% 193.45/31.41  | | | | | 
% 193.45/31.41  | | | | End of split
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | Case 2:
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | |   (59)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.41  | | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.45/31.41  | | | |         op(e0, e1) = e0 & $i(all_57_7)
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | | ALPHA: (59) implies:
% 193.45/31.41  | | | |   (60)  op(e2, e2) = e1
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | | REF_CLOSE: (2), (3), (16), (60) are inconsistent by sub-proof #1679.
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | End of split
% 193.45/31.41  | | | 
% 193.45/31.41  | | End of split
% 193.45/31.41  | | 
% 193.45/31.41  | End of split
% 193.45/31.41  | 
% 193.45/31.41  End of proof
% 193.45/31.41  
% 193.45/31.41  Sub-proof #60 shows that the following formulas are inconsistent:
% 193.45/31.41  ----------------------------------------------------------------
% 193.45/31.41    (1)   ~ (all_52_7 = e0)
% 193.45/31.41    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.41    (3)  op(e2, e2) = e3
% 193.45/31.41    (4)  op(e0, e3) = all_52_3
% 193.45/31.41    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.41             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.41           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 193.45/31.41           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.41             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.41           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.41           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.41           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 193.45/31.41           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.45/31.41           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 193.45/31.41           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.45/31.41         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.41             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.41           $i(all_57_7))
% 193.45/31.41    (6)  op(e0, e1) = all_52_11
% 193.45/31.41    (7)   ~ (all_52_11 = e0)
% 193.45/31.41    (8)   ~ (all_52_3 = e0)
% 193.45/31.41    (9)   ~ (e3 = e1)
% 193.45/31.41    (10)  op(e0, e2) = all_52_7
% 193.45/31.41  
% 193.45/31.41  Begin of proof
% 193.45/31.41  | 
% 193.45/31.41  | BETA: splitting (5) gives:
% 193.45/31.41  | 
% 193.45/31.41  | Case 1:
% 193.45/31.41  | | 
% 193.45/31.41  | |   (11)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 193.45/31.41  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 193.45/31.41  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.45/31.41  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 193.45/31.41  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 193.45/31.41  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 193.45/31.41  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.41  | |           $i(all_57_3))
% 193.45/31.41  | | 
% 193.45/31.41  | | REF_CLOSE: (1), (2), (4), (8), (10), (11) are inconsistent by sub-proof
% 193.45/31.41  | |            #199.
% 193.45/31.41  | | 
% 193.45/31.41  | Case 2:
% 193.45/31.41  | | 
% 193.45/31.41  | |   (12)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.41  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.41  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.41  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.41  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.41  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.41  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.41  | |           $i(all_57_7))
% 193.45/31.41  | | 
% 193.45/31.41  | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (12) are inconsistent by
% 193.45/31.41  | |            sub-proof #152.
% 193.45/31.41  | | 
% 193.45/31.41  | End of split
% 193.45/31.41  | 
% 193.45/31.41  End of proof
% 193.45/31.41  
% 193.45/31.41  Sub-proof #61 shows that the following formulas are inconsistent:
% 193.45/31.41  ----------------------------------------------------------------
% 193.45/31.41    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.41    (2)  op(e2, e2) = e3
% 193.45/31.41    (3)  op(e1, e1) = e2
% 193.45/31.41    (4)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 193.45/31.41             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.45/31.41           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 193.45/31.41           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.45/31.41           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 193.45/31.41           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.45/31.41    (5)   ~ (e2 = e0)
% 193.45/31.41    (6)   ~ (e3 = e0)
% 193.45/31.41  
% 193.45/31.41  Begin of proof
% 193.45/31.41  | 
% 193.45/31.41  | BETA: splitting (4) gives:
% 193.45/31.41  | 
% 193.45/31.41  | Case 1:
% 193.45/31.41  | | 
% 193.45/31.41  | |   (7)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 193.45/31.41  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 193.45/31.41  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 193.45/31.41  | | 
% 193.45/31.41  | | ALPHA: (7) implies:
% 193.45/31.41  | |   (8)  op(e2, e2) = e0
% 193.45/31.41  | | 
% 193.45/31.41  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #202.
% 193.45/31.41  | | 
% 193.45/31.41  | Case 2:
% 193.45/31.41  | | 
% 193.45/31.41  | |   (9)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 193.45/31.41  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 193.45/31.41  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 193.45/31.41  | | 
% 193.45/31.41  | | ALPHA: (9) implies:
% 193.45/31.41  | |   (10)  op(e1, e1) = e0
% 193.45/31.41  | | 
% 193.45/31.41  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1821.
% 193.45/31.41  | | 
% 193.45/31.41  | End of split
% 193.45/31.41  | 
% 193.45/31.41  End of proof
% 193.45/31.41  
% 193.45/31.41  Sub-proof #62 shows that the following formulas are inconsistent:
% 193.45/31.41  ----------------------------------------------------------------
% 193.45/31.41    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.41    (2)  op(e2, e2) = e3
% 193.45/31.41    (3)  op(e3, e3) = e1
% 193.45/31.41    (4)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 193.45/31.41             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 193.45/31.41           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 193.45/31.41           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 193.45/31.41             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 193.45/31.41             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 193.45/31.41           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.41           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.45/31.41           $i(all_57_7) & $i(all_57_10))
% 193.45/31.41    (5)  op(e1, e1) = e2
% 193.45/31.41    (6)   ~ (e2 = e1)
% 193.45/31.41    (7)   ~ (e3 = e1)
% 193.45/31.41  
% 193.45/31.41  Begin of proof
% 193.45/31.41  | 
% 193.45/31.41  | BETA: splitting (4) gives:
% 193.45/31.41  | 
% 193.45/31.41  | Case 1:
% 193.45/31.41  | | 
% 193.45/31.41  | |   (8)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 193.45/31.41  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 193.45/31.41  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 193.45/31.41  | | 
% 193.45/31.41  | | ALPHA: (8) implies:
% 193.45/31.41  | |   (9)  op(e3, e3) = e2
% 193.45/31.41  | | 
% 193.45/31.41  | | REF_CLOSE: (1), (3), (6), (9) are inconsistent by sub-proof #1934.
% 193.45/31.41  | | 
% 193.45/31.41  | Case 2:
% 193.45/31.41  | | 
% 193.45/31.41  | |   (10)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 193.45/31.41  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.41  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 193.45/31.41  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 193.45/31.41  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 193.45/31.41  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.41  | | 
% 193.45/31.41  | | REF_CLOSE: (1), (2), (5), (7), (10) are inconsistent by sub-proof #68.
% 193.45/31.41  | | 
% 193.45/31.41  | End of split
% 193.45/31.41  | 
% 193.45/31.41  End of proof
% 193.45/31.41  
% 193.45/31.41  Sub-proof #63 shows that the following formulas are inconsistent:
% 193.45/31.41  ----------------------------------------------------------------
% 193.45/31.41    (1)  op(e2, e3) = all_40_1
% 193.45/31.41    (2)   ~ (all_52_4 = e3)
% 193.45/31.41    (3)   ~ (all_52_3 = e2)
% 193.45/31.41    (4)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 193.45/31.41         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 193.45/31.41    (5)   ~ (all_52_13 = e2)
% 193.45/31.41    (6)   ~ (e3 = e2)
% 193.45/31.41    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.41    (8)  op(e3, e2) = all_52_4
% 193.45/31.41    (9)  op(e2, e2) = e3
% 193.45/31.41    (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.45/31.41          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.45/31.41    (11)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.45/31.41          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.45/31.41    (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 193.45/31.41          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 193.45/31.41            e1)
% 193.45/31.41    (13)  op(e0, e3) = all_52_3
% 193.45/31.41    (14)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 193.45/31.41          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 193.45/31.41            e2)
% 193.45/31.41    (15)  op(e2, e0) = all_52_13
% 193.45/31.41    (16)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.45/31.41              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.41            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.45/31.41            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.45/31.41            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.41            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.45/31.41            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 193.45/31.41            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.41            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 193.45/31.41            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.41            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.41            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 193.45/31.41            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.41            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.41            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.45/31.41            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.41            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.41            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 193.45/31.41            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.41            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.41            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 193.45/31.41            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.41            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.41            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 193.45/31.41            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.41            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.41            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.41            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.41            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.41            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 193.45/31.41            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.41            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.45/31.41            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.41            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.41            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.41            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.41            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.41            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.41            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.41            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.41            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.41            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 193.45/31.41            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.41            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.41            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 193.45/31.41            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.41            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.41            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.41              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 193.45/31.41            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.41            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.41              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.41            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.41            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 193.45/31.41                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.41                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.41                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.41                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.41                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.45/31.41                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.41                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.41              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.41                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.41                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.41                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.41                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.41                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.41                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.41                $i(all_57_7))))
% 193.45/31.41    (17)  op(e3, e3) = e3
% 193.45/31.41    (18)   ~ (all_52_12 = e3)
% 193.45/31.41    (19)  all_56_14 = e3
% 193.45/31.41    (20)   ~ (all_52_8 = e2)
% 193.45/31.41    (21)  ( ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 & op(e2, e3) = all_4_1 &
% 193.45/31.41            $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e1) & op(e2, e3) = all_4_1
% 193.45/31.41            & $i(all_4_1))
% 193.45/31.41    (22)  op(e1, e1) = e2
% 193.45/31.41    (23)   ~ (e1 = e0)
% 193.45/31.41    (24)  op(e2, e3) = e2
% 193.45/31.41    (25)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 193.45/31.41              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 193.45/31.41                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 193.45/31.41                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 193.45/31.41    (26)   ~ (e2 = e1)
% 193.45/31.41    (27)  op(e3, e0) = all_52_12
% 193.45/31.41    (28)  op(e3, e1) = all_52_8
% 193.45/31.41    (29)  op(e0, e0) = e2
% 193.45/31.41    (30)   ~ (e3 = e1)
% 193.45/31.41    (31)   ~ (e2 = e0)
% 193.45/31.41    (32)   ~ (e3 = e0)
% 193.45/31.41  
% 193.45/31.41  Begin of proof
% 193.45/31.41  | 
% 193.45/31.41  | BETA: splitting (16) gives:
% 193.45/31.41  | 
% 193.45/31.41  | Case 1:
% 193.45/31.41  | | 
% 193.45/31.41  | |   (33)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 193.45/31.41  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.41  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 193.45/31.41  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 193.45/31.41  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 193.45/31.41  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 193.45/31.41  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 193.45/31.41  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 193.45/31.41  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 193.45/31.41  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 193.45/31.41  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 193.45/31.41  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 193.45/31.41  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 193.45/31.41  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.41  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.45/31.41  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 193.45/31.41  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.45/31.41  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 193.45/31.41  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 193.45/31.41  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 193.45/31.41  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.45/31.41  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 193.45/31.41  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.41  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 193.45/31.41  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 193.45/31.41  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 193.45/31.41  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.41  | | 
% 193.45/31.41  | | BETA: splitting (33) gives:
% 193.45/31.41  | | 
% 193.45/31.41  | | Case 1:
% 193.45/31.41  | | | 
% 193.45/31.41  | | |   (34)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.41  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.41  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 193.45/31.41  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 193.45/31.41  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 193.45/31.41  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.41  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 193.45/31.41  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.45/31.41  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.41  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 193.45/31.41  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.45/31.41  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 193.45/31.41  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 193.45/31.41  | | | 
% 193.45/31.41  | | | BETA: splitting (34) gives:
% 193.45/31.41  | | | 
% 193.45/31.41  | | | Case 1:
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | |   (35)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.41  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 193.45/31.41  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 193.45/31.41  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 193.45/31.41  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.41  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 193.45/31.41  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | | REF_CLOSE: (7), (9), (35) are inconsistent by sub-proof #220.
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | Case 2:
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | |   (36)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.41  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.45/31.41  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.41  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 193.45/31.41  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.41  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 193.45/31.41  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | | BETA: splitting (36) gives:
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | | Case 1:
% 193.45/31.41  | | | | | 
% 193.45/31.41  | | | | |   (37)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.41  | | | | |         (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.45/31.41  | | | | |         op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.41  | | | | |         $i(all_57_14)
% 193.45/31.41  | | | | | 
% 193.45/31.41  | | | | | ALPHA: (37) implies:
% 193.45/31.41  | | | | |   (38)   ~ (all_57_0 = e2)
% 193.45/31.41  | | | | |   (39)  op(e2, e3) = all_57_0
% 193.45/31.41  | | | | | 
% 193.45/31.41  | | | | | REF_CLOSE: (7), (24), (38), (39) are inconsistent by sub-proof #66.
% 193.45/31.41  | | | | | 
% 193.45/31.41  | | | | Case 2:
% 193.45/31.41  | | | | | 
% 193.45/31.41  | | | | |   (40)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 193.45/31.41  | | | | |         (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.41  | | | | |         op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 193.45/31.41  | | | | |         $i(all_57_14)
% 193.45/31.41  | | | | | 
% 193.45/31.41  | | | | | ALPHA: (40) implies:
% 193.45/31.41  | | | | |   (41)  op(e0, e0) = e3
% 193.45/31.41  | | | | | 
% 193.45/31.41  | | | | | BETA: splitting (14) gives:
% 193.45/31.41  | | | | | 
% 193.45/31.41  | | | | | Case 1:
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | |   (42)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 &
% 193.45/31.41  | | | | | |           op(e0, e2) = e2)
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | | BETA: splitting (42) gives:
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | | Case 1:
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | |   (43)  all_56_12 = e2 & op(e0, e3) = e2
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | REF_CLOSE: (3), (7), (13), (43) are inconsistent by sub-proof
% 193.45/31.41  | | | | | | |            #528.
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | Case 2:
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | |   (44)  all_56_13 = e2 & op(e0, e2) = e2
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | ALPHA: (44) implies:
% 193.45/31.41  | | | | | | |   (45)  all_56_13 = e2
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | REF_CLOSE: (6), (7), (12), (14), (19), (23), (25), (26), (30),
% 193.45/31.41  | | | | | | |            (31), (32), (41), (45) are inconsistent by sub-proof
% 193.45/31.41  | | | | | | |            #65.
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | End of split
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | Case 2:
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | |   (46)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 &
% 193.45/31.41  | | | | | |           op(e0, e0) = e2)
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | | BETA: splitting (46) gives:
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | | Case 1:
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | |   (47)  all_56_14 = e2 & op(e0, e1) = e2
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | ALPHA: (47) implies:
% 193.45/31.41  | | | | | | |   (48)  all_56_14 = e2
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | REF_CLOSE: (6), (19), (48) are inconsistent by sub-proof #1495.
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | Case 2:
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | |   (49)  all_56_15 = e2 & op(e0, e0) = e2
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | | REF_CLOSE: (6), (7), (29), (41) are inconsistent by sub-proof
% 193.45/31.41  | | | | | | |            #1692.
% 193.45/31.41  | | | | | | | 
% 193.45/31.41  | | | | | | End of split
% 193.45/31.41  | | | | | | 
% 193.45/31.41  | | | | | End of split
% 193.45/31.41  | | | | | 
% 193.45/31.41  | | | | End of split
% 193.45/31.41  | | | | 
% 193.45/31.41  | | | End of split
% 193.45/31.41  | | | 
% 193.45/31.41  | | Case 2:
% 193.45/31.41  | | | 
% 193.45/31.42  | | |   (50)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.42  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.45/31.42  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.45/31.42  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 193.45/31.42  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 193.45/31.42  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.42  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.45/31.42  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.45/31.42  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 193.45/31.42  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 193.45/31.42  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 193.45/31.42  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 193.45/31.42  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 193.45/31.42  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.42  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.42  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.42  | | | 
% 193.45/31.42  | | | REF_CLOSE: (2), (6), (7), (8), (9), (17), (22), (30), (50) are
% 193.45/31.42  | | |            inconsistent by sub-proof #67.
% 193.45/31.42  | | | 
% 193.45/31.42  | | End of split
% 193.45/31.42  | | 
% 193.45/31.42  | Case 2:
% 193.45/31.42  | | 
% 193.45/31.42  | |   (51)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 193.45/31.42  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.45/31.42  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 193.45/31.42  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 193.45/31.42  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 193.45/31.42  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 193.45/31.42  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 193.45/31.42  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.45/31.42  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.45/31.42  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.45/31.42  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.42  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.42  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 193.45/31.42  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 193.45/31.42  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.42  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.45/31.42  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.45/31.42  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 193.45/31.42  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.45/31.42  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.45/31.42  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 193.45/31.42  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 193.45/31.42  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 193.45/31.42  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.42  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 193.45/31.42  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.45/31.42  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 193.45/31.42  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.45/31.42  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.42  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 193.45/31.42  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 193.45/31.42  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.45/31.42  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.42  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.45/31.42  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.42  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 193.45/31.42  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 193.45/31.42  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.42  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.45/31.42  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.45/31.42  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.45/31.42  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.42  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.42  | |               $i(all_57_7))))
% 193.45/31.42  | | 
% 193.45/31.42  | | BETA: splitting (51) gives:
% 193.45/31.42  | | 
% 193.45/31.42  | | Case 1:
% 193.45/31.42  | | | 
% 193.45/31.42  | | |   (52)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.42  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.42  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.42  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 193.45/31.42  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.45/31.42  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.42  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 193.45/31.42  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.45/31.42  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 193.45/31.42  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 193.45/31.42  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 193.45/31.42  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.45/31.42  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 193.45/31.42  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.45/31.42  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.42  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.42  | | |           $i(all_57_13))
% 193.45/31.42  | | | 
% 193.45/31.42  | | | REF_CLOSE: (7), (17), (18), (26), (27), (29), (30), (52) are inconsistent
% 193.45/31.42  | | |            by sub-proof #1585.
% 193.45/31.42  | | | 
% 193.45/31.42  | | Case 2:
% 193.45/31.42  | | | 
% 193.45/31.42  | | |   (53)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.45/31.42  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.42  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.42  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.45/31.42  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.45/31.42  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.45/31.42  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 193.45/31.42  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.45/31.42  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 193.45/31.42  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 193.45/31.42  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.45/31.42  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 193.45/31.42  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.45/31.42  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.45/31.42  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.42  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.42  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.45/31.42  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.42  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 193.45/31.42  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.42  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 193.45/31.42  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.42  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 193.45/31.42  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.42  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.42  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 193.45/31.42  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.45/31.42  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.42  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.45/31.42  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.42  | | | 
% 193.45/31.42  | | | BETA: splitting (53) gives:
% 193.45/31.42  | | | 
% 193.45/31.42  | | | Case 1:
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | |   (54)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.45/31.42  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.42  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.42  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 193.45/31.42  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.45/31.42  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 193.45/31.42  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | | REF_CLOSE: (7), (17), (32), (54) are inconsistent by sub-proof #1960.
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | Case 2:
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | |   (55)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 193.45/31.42  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.45/31.42  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.42  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 193.45/31.42  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.45/31.42  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 193.45/31.42  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 193.45/31.42  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 193.45/31.42  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.42  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.42  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.45/31.42  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.45/31.42  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.42  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.42  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.45/31.42  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.42  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.42  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 193.45/31.42  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.45/31.42  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 193.45/31.42  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 193.45/31.42  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.42  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 193.45/31.42  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | | BETA: splitting (55) gives:
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | | Case 1:
% 193.45/31.42  | | | | | 
% 193.45/31.42  | | | | |   (56)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 193.45/31.42  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.45/31.42  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.42  | | | | |         $i(all_57_13)
% 193.45/31.42  | | | | | 
% 193.45/31.42  | | | | | ALPHA: (56) implies:
% 193.45/31.42  | | | | |   (57)  op(e2, e0) = e2
% 193.45/31.42  | | | | | 
% 193.45/31.42  | | | | | REF_CLOSE: (5), (7), (15), (57) are inconsistent by sub-proof #1662.
% 193.45/31.42  | | | | | 
% 193.45/31.42  | | | | Case 2:
% 193.45/31.42  | | | | | 
% 193.45/31.42  | | | | |   (58)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.45/31.42  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.42  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.42  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.42  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.42  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 193.45/31.42  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 193.45/31.42  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.45/31.42  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.42  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.45/31.42  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 193.45/31.42  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.42  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 193.45/31.42  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.42  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.42  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.42  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 193.45/31.42  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.42  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.42  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 193.45/31.42  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.42  | | | | |               $i(all_57_7))))
% 193.45/31.42  | | | | | 
% 193.45/31.42  | | | | | BETA: splitting (58) gives:
% 193.45/31.42  | | | | | 
% 193.45/31.42  | | | | | Case 1:
% 193.45/31.42  | | | | | | 
% 193.45/31.42  | | | | | |   (59)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.45/31.42  | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.42  | | | | | |         & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.42  | | | | | |         $i(all_57_14)
% 193.45/31.42  | | | | | | 
% 193.45/31.42  | | | | | | ALPHA: (59) implies:
% 193.45/31.42  | | | | | |   (60)  op(e2, e2) = e0
% 193.45/31.42  | | | | | | 
% 193.45/31.42  | | | | | | REF_CLOSE: (7), (9), (32), (60) are inconsistent by sub-proof #202.
% 193.45/31.42  | | | | | | 
% 193.45/31.42  | | | | | Case 2:
% 193.45/31.42  | | | | | | 
% 193.45/31.42  | | | | | |   (61)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.45/31.42  | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.42  | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 193.45/31.42  | | | | | |               e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.45/31.42  | | | | | |             = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 193.45/31.42  | | | | | |               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.42  | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.42  | | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.42  | | | | | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.42  | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 193.45/31.42  | | | | | |             (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.42  | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.42  | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.42  | | | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 193.45/31.42  | | | | | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.42  | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.42  | | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 193.45/31.42  | | | | | |             & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.42  | | | | | |             $i(all_57_7)))
% 193.45/31.42  | | | | | | 
% 193.45/31.42  | | | | | | ALPHA: (61) implies:
% 193.45/31.42  | | | | | |   (62)  op(e0, e0) = all_57_15
% 193.45/31.42  | | | | | |   (63)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.42  | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 193.45/31.42  | | | | | |           & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 193.45/31.42  | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.45/31.42  | | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 193.45/31.42  | | | | | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.42  | | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 193.45/31.42  | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.42  | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.42  | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 193.45/31.42  | | | | | |           & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.45/31.42  | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 193.45/31.42  | | | | | |           & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 193.45/31.42  | | | | | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.45/31.42  | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 193.45/31.42  | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.42  | | | | | | 
% 193.45/31.42  | | | | | | BETA: splitting (21) gives:
% 193.45/31.42  | | | | | | 
% 193.45/31.42  | | | | | | Case 1:
% 193.45/31.42  | | | | | | | 
% 193.45/31.42  | | | | | | |   (64)   ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 & op(e2, e3)
% 193.45/31.42  | | | | | | |         = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 193.45/31.42  | | | | | | | 
% 193.45/31.42  | | | | | | | ALPHA: (64) implies:
% 193.45/31.42  | | | | | | |   (65)  op(e2, e3) = all_4_1
% 193.45/31.42  | | | | | | | 
% 193.45/31.42  | | | | | | | REF_CLOSE: (1), (4), (6), (7), (9), (10), (11), (17), (19), (20),
% 193.45/31.42  | | | | | | |            (23), (24), (26), (28), (29), (30), (31), (32), (62),
% 193.45/31.42  | | | | | | |            (63), (65) are inconsistent by sub-proof #64.
% 193.45/31.42  | | | | | | | 
% 193.45/31.42  | | | | | | Case 2:
% 193.45/31.42  | | | | | | | 
% 193.45/31.42  | | | | | | |   (66)   ~ (all_4_1 = e1) & op(e2, e3) = all_4_1 & $i(all_4_1)
% 193.45/31.42  | | | | | | | 
% 193.45/31.42  | | | | | | | ALPHA: (66) implies:
% 193.45/31.42  | | | | | | |   (67)  op(e2, e3) = all_4_1
% 193.45/31.42  | | | | | | | 
% 193.45/31.42  | | | | | | | REF_CLOSE: (1), (4), (6), (7), (9), (10), (11), (17), (19), (20),
% 193.45/31.42  | | | | | | |            (23), (24), (26), (28), (29), (30), (31), (32), (62),
% 193.45/31.42  | | | | | | |            (63), (67) are inconsistent by sub-proof #64.
% 193.45/31.42  | | | | | | | 
% 193.45/31.42  | | | | | | End of split
% 193.45/31.42  | | | | | | 
% 193.45/31.42  | | | | | End of split
% 193.45/31.42  | | | | | 
% 193.45/31.42  | | | | End of split
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | End of split
% 193.45/31.42  | | | 
% 193.45/31.42  | | End of split
% 193.45/31.42  | | 
% 193.45/31.42  | End of split
% 193.45/31.42  | 
% 193.45/31.42  End of proof
% 193.45/31.42  
% 193.45/31.42  Sub-proof #64 shows that the following formulas are inconsistent:
% 193.45/31.42  ----------------------------------------------------------------
% 193.45/31.42    (1)  op(e2, e3) = all_40_1
% 193.45/31.42    (2)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 193.45/31.42         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 193.45/31.42    (3)   ~ (e3 = e2)
% 193.45/31.42    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.42    (5)  op(e2, e2) = e3
% 193.45/31.42    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.45/31.42         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.45/31.42    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.45/31.42         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.45/31.42    (8)  op(e0, e0) = all_57_15
% 193.45/31.42    (9)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 193.45/31.42             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.42           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 193.45/31.42           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.42             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.45/31.42           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.42           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.42           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 193.45/31.42           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 193.45/31.42           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 193.45/31.42           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.45/31.42         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.42             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.42           $i(all_57_7))
% 193.45/31.42    (10)  op(e3, e3) = e3
% 193.45/31.42    (11)  all_56_14 = e3
% 193.45/31.42    (12)   ~ (all_52_8 = e2)
% 193.45/31.42    (13)   ~ (e1 = e0)
% 193.45/31.42    (14)  op(e2, e3) = e2
% 193.45/31.42    (15)   ~ (e2 = e1)
% 193.45/31.42    (16)  op(e2, e3) = all_4_1
% 193.45/31.42    (17)  op(e3, e1) = all_52_8
% 193.45/31.42    (18)  op(e0, e0) = e2
% 193.45/31.42    (19)   ~ (e3 = e1)
% 193.45/31.42    (20)   ~ (e2 = e0)
% 193.45/31.42    (21)   ~ (e3 = e0)
% 193.45/31.42  
% 193.45/31.42  Begin of proof
% 193.45/31.42  | 
% 193.45/31.42  | GROUND_INST: instantiating (4) with e2, all_57_15, e0, e0, simplifying with
% 193.45/31.42  |              (8), (18) gives:
% 193.45/31.42  |   (22)  all_57_15 = e2
% 193.45/31.42  | 
% 193.45/31.42  | GROUND_INST: instantiating (4) with e2, all_40_1, e3, e2, simplifying with
% 193.45/31.42  |              (1), (14) gives:
% 193.45/31.42  |   (23)  all_40_1 = e2
% 193.45/31.42  | 
% 193.45/31.42  | GROUND_INST: instantiating (4) with all_4_1, all_40_1, e3, e2, simplifying
% 193.45/31.42  |              with (1), (16) gives:
% 193.45/31.42  |   (24)  all_40_1 = all_4_1
% 193.45/31.42  | 
% 193.45/31.42  | COMBINE_EQS: (23), (24) imply:
% 193.45/31.42  |   (25)  all_4_1 = e2
% 193.45/31.42  | 
% 193.45/31.42  | BETA: splitting (9) gives:
% 193.45/31.42  | 
% 193.45/31.42  | Case 1:
% 193.45/31.42  | | 
% 193.45/31.42  | |   (26)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 193.45/31.42  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 193.45/31.42  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.45/31.42  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 193.45/31.42  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 193.45/31.42  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 193.45/31.42  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.42  | |           $i(all_57_3))
% 193.45/31.42  | | 
% 193.45/31.42  | | BETA: splitting (26) gives:
% 193.45/31.42  | | 
% 193.45/31.42  | | Case 1:
% 193.45/31.42  | | | 
% 193.45/31.42  | | |   (27)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.42  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.45/31.42  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 193.45/31.42  | | | 
% 193.45/31.42  | | | ALPHA: (27) implies:
% 193.45/31.42  | | |   (28)   ~ (all_57_0 = e2)
% 193.45/31.42  | | |   (29)  op(e2, e3) = all_57_0
% 193.45/31.42  | | | 
% 193.45/31.42  | | | REF_CLOSE: (4), (14), (28), (29) are inconsistent by sub-proof #66.
% 193.45/31.42  | | | 
% 193.45/31.42  | | Case 2:
% 193.45/31.42  | | | 
% 193.45/31.42  | | |   (30)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.42  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.45/31.42  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.45/31.42  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.42  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.45/31.42  | | | 
% 193.45/31.42  | | | BETA: splitting (30) gives:
% 193.45/31.42  | | | 
% 193.45/31.42  | | | Case 1:
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | |   (31)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.45/31.42  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.45/31.42  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | | ALPHA: (31) implies:
% 193.45/31.42  | | | |   (32)  op(e1, e1) = e3
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | | REF_CLOSE: (2), (3), (4), (6), (7), (11), (12), (13), (15), (17), (19),
% 193.45/31.42  | | | |            (20), (21), (32) are inconsistent by sub-proof #70.
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | Case 2:
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | |   (33)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.42  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 193.45/31.42  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | | ALPHA: (33) implies:
% 193.45/31.42  | | | |   (34)   ~ (all_57_15 = e2)
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | | REF_CLOSE: (4), (8), (18), (34) are inconsistent by sub-proof #748.
% 193.45/31.42  | | | | 
% 193.45/31.42  | | | End of split
% 193.45/31.42  | | | 
% 193.45/31.42  | | End of split
% 193.45/31.42  | | 
% 193.45/31.42  | Case 2:
% 193.45/31.42  | | 
% 193.45/31.42  | |   (35)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.42  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.42  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.42  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.42  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.42  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.42  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.42  | |           $i(all_57_7))
% 193.45/31.42  | | 
% 193.45/31.42  | | BETA: splitting (35) gives:
% 193.45/31.42  | | 
% 193.45/31.42  | | Case 1:
% 193.45/31.42  | | | 
% 193.45/31.42  | | |   (36)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.42  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.42  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 193.45/31.42  | | | 
% 193.45/31.42  | | | ALPHA: (36) implies:
% 193.45/31.42  | | |   (37)   ~ (all_57_15 = e2)
% 193.45/31.42  | | | 
% 193.45/31.42  | | | REF_CLOSE: (4), (8), (18), (37) are inconsistent by sub-proof #748.
% 193.45/31.42  | | | 
% 193.45/31.42  | | Case 2:
% 193.45/31.42  | | | 
% 193.45/31.42  | | |   (38)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.45/31.42  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.42  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.45/31.42  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 193.45/31.42  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.42  | | | 
% 193.45/31.42  | | | REF_CLOSE: (4), (5), (10), (19), (38) are inconsistent by sub-proof #209.
% 193.45/31.42  | | | 
% 193.45/31.42  | | End of split
% 193.45/31.42  | | 
% 193.45/31.42  | End of split
% 193.45/31.42  | 
% 193.45/31.42  End of proof
% 193.45/31.42  
% 193.45/31.42  Sub-proof #65 shows that the following formulas are inconsistent:
% 193.45/31.42  ----------------------------------------------------------------
% 193.45/31.42    (1)   ~ (e3 = e2)
% 193.45/31.42    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.42    (3)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 193.45/31.42         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 193.45/31.42    (4)  all_56_13 = e2
% 193.45/31.42    (5)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 193.45/31.42         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 193.45/31.42    (6)  all_56_14 = e3
% 193.45/31.42    (7)   ~ (e1 = e0)
% 193.45/31.42    (8)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 193.45/31.42             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 193.45/31.42               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 193.45/31.42               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 193.45/31.42    (9)   ~ (e2 = e1)
% 193.45/31.42    (10)  op(e0, e0) = e3
% 193.45/31.42    (11)   ~ (e3 = e1)
% 193.45/31.42    (12)   ~ (e2 = e0)
% 193.45/31.42    (13)   ~ (e3 = e0)
% 193.45/31.42  
% 193.45/31.42  Begin of proof
% 193.45/31.42  | 
% 193.45/31.42  | BETA: splitting (8) gives:
% 193.45/31.42  | 
% 193.45/31.42  | Case 1:
% 193.45/31.42  | | 
% 193.45/31.42  | |   (14)  all_56_15 = e0 & op(e0, e0) = e0
% 193.45/31.42  | | 
% 193.45/31.42  | | ALPHA: (14) implies:
% 193.45/31.42  | |   (15)  op(e0, e0) = e0
% 193.45/31.42  | | 
% 193.45/31.42  | | REF_CLOSE: (2), (10), (13), (15) are inconsistent by sub-proof #1947.
% 193.45/31.42  | | 
% 193.45/31.42  | Case 2:
% 193.45/31.42  | | 
% 193.45/31.42  | |   (16)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 193.45/31.42  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 193.45/31.42  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 193.45/31.42  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 193.45/31.42  | | 
% 193.45/31.42  | | ALPHA: (16) implies:
% 193.45/31.42  | |   (17)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 193.45/31.42  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 193.45/31.42  | | 
% 193.45/31.42  | | BETA: splitting (17) gives:
% 193.45/31.42  | | 
% 193.45/31.42  | | Case 1:
% 193.45/31.42  | | | 
% 193.45/31.43  | | |   (18)  all_56_12 = e0 & op(e0, e3) = e0
% 193.45/31.43  | | | 
% 193.45/31.43  | | | ALPHA: (18) implies:
% 193.45/31.43  | | |   (19)  all_56_12 = e0
% 193.45/31.43  | | | 
% 193.45/31.43  | | | BETA: splitting (3) gives:
% 193.45/31.43  | | | 
% 193.45/31.43  | | | Case 1:
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | |   (20)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0,
% 193.45/31.43  | | | |             e2) = e1)
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | | BETA: splitting (20) gives:
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | | Case 1:
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | |   (21)  all_56_12 = e1 & op(e0, e3) = e1
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | | REF_CLOSE: (7), (19), (21) are inconsistent by sub-proof #412.
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | Case 2:
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | |   (22)  all_56_13 = e1 & op(e0, e2) = e1
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | | REF_CLOSE: (4), (9), (22) are inconsistent by sub-proof #1205.
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | End of split
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | Case 2:
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | |   (23)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 193.45/31.43  | | | |             e0) = e1)
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | | BETA: splitting (23) gives:
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | | Case 1:
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | |   (24)  all_56_14 = e1 & op(e0, e1) = e1
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | | REF_CLOSE: (6), (11), (24) are inconsistent by sub-proof #1748.
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | Case 2:
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | |   (25)  all_56_15 = e1 & op(e0, e0) = e1
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | | ALPHA: (25) implies:
% 193.45/31.43  | | | | |   (26)  op(e0, e0) = e1
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | | REF_CLOSE: (2), (10), (11), (26) are inconsistent by sub-proof #1392.
% 193.45/31.43  | | | | | 
% 193.45/31.43  | | | | End of split
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | End of split
% 193.45/31.43  | | | 
% 193.45/31.43  | | Case 2:
% 193.45/31.43  | | | 
% 193.45/31.43  | | |   (27)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 193.45/31.43  | | |           = e0)
% 193.45/31.43  | | | 
% 193.45/31.43  | | | BETA: splitting (27) gives:
% 193.45/31.43  | | | 
% 193.45/31.43  | | | Case 1:
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | |   (28)  all_56_13 = e0 & op(e0, e2) = e0
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | | ALPHA: (28) implies:
% 193.45/31.43  | | | |   (29)  all_56_13 = e0
% 193.45/31.43  | | | |   (30)  op(e0, e2) = e0
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (11), (12), (29),
% 193.45/31.43  | | | |            (30) are inconsistent by sub-proof #321.
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | Case 2:
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | |   (31)  all_56_14 = e0 & op(e0, e1) = e0
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | | REF_CLOSE: (6), (13), (31) are inconsistent by sub-proof #861.
% 193.45/31.43  | | | | 
% 193.45/31.43  | | | End of split
% 193.45/31.43  | | | 
% 193.45/31.43  | | End of split
% 193.45/31.43  | | 
% 193.45/31.43  | End of split
% 193.45/31.43  | 
% 193.45/31.43  End of proof
% 193.45/31.43  
% 193.45/31.43  Sub-proof #66 shows that the following formulas are inconsistent:
% 193.45/31.43  ----------------------------------------------------------------
% 193.45/31.43    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.43    (2)  op(e2, e3) = all_57_0
% 193.45/31.43    (3)  op(e2, e3) = e2
% 193.45/31.43    (4)   ~ (all_57_0 = e2)
% 193.45/31.43  
% 193.45/31.43  Begin of proof
% 193.45/31.43  | 
% 193.45/31.43  | GROUND_INST: instantiating (1) with e2, all_57_0, e3, e2, simplifying with
% 193.45/31.43  |              (2), (3) gives:
% 193.45/31.43  |   (5)  all_57_0 = e2
% 193.45/31.43  | 
% 193.45/31.43  | REDUCE: (4), (5) imply:
% 193.45/31.43  |   (6)  $false
% 193.45/31.43  | 
% 193.45/31.43  | CLOSE: (6) is inconsistent.
% 193.45/31.43  | 
% 193.45/31.43  End of proof
% 193.45/31.43  
% 193.45/31.43  Sub-proof #67 shows that the following formulas are inconsistent:
% 193.45/31.43  ----------------------------------------------------------------
% 193.45/31.43    (1)   ~ (all_52_4 = e3)
% 193.45/31.43    (2)   ~ (e3 = e2)
% 193.45/31.43    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.43    (4)  op(e3, e2) = all_52_4
% 193.45/31.43    (5)  op(e2, e2) = e3
% 193.45/31.43    (6)  op(e3, e3) = e3
% 193.45/31.43    (7)  op(e1, e1) = e2
% 193.45/31.43    (8)   ~ (e3 = e1)
% 193.45/31.43    (9)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 193.45/31.43             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.43           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 193.45/31.43           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.45/31.43           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 193.45/31.43           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.45/31.43           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3)
% 193.45/31.43           = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 193.45/31.43           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 193.45/31.43           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 193.45/31.43           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.43           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 193.45/31.43            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 193.45/31.43             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.43  
% 193.45/31.43  Begin of proof
% 193.45/31.43  | 
% 193.45/31.43  | BETA: splitting (9) gives:
% 193.45/31.43  | 
% 193.45/31.43  | Case 1:
% 193.45/31.43  | | 
% 193.45/31.43  | |   (10)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 193.45/31.43  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.43  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.45/31.43  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 193.45/31.43  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.45/31.43  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 193.45/31.43  | | 
% 193.45/31.43  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1971.
% 193.45/31.43  | | 
% 193.45/31.43  | Case 2:
% 193.45/31.43  | | 
% 193.45/31.43  | |   (11)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 193.45/31.43  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 193.45/31.43  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.45/31.43  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 193.45/31.43  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.43  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 193.45/31.43  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 193.45/31.43  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 193.45/31.43  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.43  | | 
% 193.45/31.43  | | BETA: splitting (11) gives:
% 193.45/31.43  | | 
% 193.45/31.43  | | Case 1:
% 193.45/31.43  | | | 
% 193.45/31.43  | | |   (12)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.43  | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 193.45/31.43  | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.43  | | |         $i(all_57_14)
% 193.45/31.43  | | | 
% 193.45/31.43  | | | ALPHA: (12) implies:
% 193.45/31.43  | | |   (13)  op(e3, e3) = e2
% 193.45/31.43  | | | 
% 193.45/31.43  | | | REF_CLOSE: (2), (3), (6), (13) are inconsistent by sub-proof #1957.
% 193.45/31.43  | | | 
% 193.45/31.43  | | Case 2:
% 193.45/31.43  | | | 
% 193.45/31.43  | | |   (14)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.45/31.43  | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.43  | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.43  | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7
% 193.45/31.43  | | |             = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 193.45/31.43  | | |             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.45/31.43  | | |           $i(all_57_7) & $i(all_57_10))
% 193.45/31.43  | | | 
% 193.45/31.43  | | | REF_CLOSE: (3), (5), (7), (8), (14) are inconsistent by sub-proof #68.
% 193.45/31.43  | | | 
% 193.45/31.43  | | End of split
% 193.45/31.43  | | 
% 193.45/31.43  | End of split
% 193.45/31.43  | 
% 193.45/31.43  End of proof
% 193.45/31.43  
% 193.45/31.43  Sub-proof #68 shows that the following formulas are inconsistent:
% 193.45/31.43  ----------------------------------------------------------------
% 193.45/31.43    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.43    (2)  op(e2, e2) = e3
% 193.45/31.43    (3)  op(e1, e1) = e2
% 193.45/31.43    (4)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 193.45/31.43             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.43           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.45/31.43           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 193.45/31.43           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 193.45/31.43           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.43    (5)   ~ (e3 = e1)
% 193.45/31.43  
% 193.45/31.43  Begin of proof
% 193.45/31.43  | 
% 193.45/31.43  | BETA: splitting (4) gives:
% 193.45/31.43  | 
% 193.45/31.43  | Case 1:
% 193.45/31.43  | | 
% 193.45/31.43  | |   (6)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 193.45/31.43  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 193.45/31.43  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 193.45/31.43  | | 
% 193.45/31.43  | | ALPHA: (6) implies:
% 193.45/31.43  | |   (7)   ~ (all_57_14 = e2)
% 193.45/31.43  | |   (8)  op(e1, e1) = all_57_14
% 193.45/31.43  | | 
% 193.45/31.43  | | REF_CLOSE: (1), (3), (7), (8) are inconsistent by sub-proof #435.
% 193.45/31.43  | | 
% 193.45/31.43  | Case 2:
% 193.45/31.43  | | 
% 193.45/31.43  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 193.45/31.43  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.45/31.43  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 193.45/31.43  | | 
% 193.45/31.43  | | ALPHA: (9) implies:
% 193.45/31.43  | |   (10)  op(e2, e2) = e1
% 193.45/31.43  | | 
% 193.45/31.43  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1679.
% 193.45/31.43  | | 
% 193.45/31.43  | End of split
% 193.45/31.43  | 
% 193.45/31.43  End of proof
% 193.45/31.43  
% 193.45/31.43  Sub-proof #69 shows that the following formulas are inconsistent:
% 193.45/31.43  ----------------------------------------------------------------
% 193.45/31.43    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.45/31.43             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.43           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 193.45/31.43               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 193.45/31.43             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.43         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 193.45/31.43             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.43           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 193.45/31.43               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 193.45/31.43             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.43    (2)   ~ (e3 = e2)
% 193.45/31.43    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.43    (4)  op(e2, e2) = e3
% 193.45/31.43    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.45/31.43         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.45/31.43    (6)  op(e2, e0) = e2
% 193.45/31.43    (7)   ~ (all_52_9 = e2)
% 193.45/31.43    (8)  all_56_14 = e3
% 193.45/31.43    (9)   ~ (all_52_8 = e2)
% 193.45/31.43    (10)   ~ (e2 = e1)
% 193.45/31.43    (11)  op(e2, e1) = all_52_9
% 193.45/31.43    (12)  op(e3, e1) = all_52_8
% 193.45/31.43    (13)   ~ (e3 = e0)
% 193.45/31.43  
% 193.45/31.43  Begin of proof
% 193.45/31.43  | 
% 193.45/31.43  | BETA: splitting (1) gives:
% 193.45/31.43  | 
% 193.45/31.43  | Case 1:
% 193.45/31.43  | | 
% 193.45/31.43  | |   (14)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 193.45/31.43  | |             e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.43  | |             $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.43  | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 193.45/31.43  | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.43  | |               e1) = all_57_8 & $i(all_57_8)))
% 193.45/31.43  | | 
% 193.45/31.43  | | ALPHA: (14) implies:
% 193.45/31.43  | |   (15)  op(e1, e1) = e1
% 193.45/31.43  | | 
% 193.45/31.43  | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (10), (11), (12), (15) are
% 193.45/31.43  | |            inconsistent by sub-proof #545.
% 193.45/31.43  | | 
% 193.45/31.43  | Case 2:
% 193.45/31.43  | | 
% 193.45/31.43  | |   (16)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 193.45/31.43  | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.43  | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.43  | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 193.45/31.43  | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.43  | |               e0) = all_57_13 & $i(all_57_13)))
% 193.45/31.43  | | 
% 193.45/31.43  | | ALPHA: (16) implies:
% 193.45/31.43  | |   (17)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.45/31.43  | |             e0) = all_57_11 & $i(all_57_11))
% 193.45/31.43  | | 
% 193.45/31.43  | | REF_CLOSE: (3), (4), (6), (13), (17) are inconsistent by sub-proof #165.
% 193.45/31.43  | | 
% 193.45/31.43  | End of split
% 193.45/31.43  | 
% 193.45/31.43  End of proof
% 193.45/31.43  
% 193.45/31.43  Sub-proof #70 shows that the following formulas are inconsistent:
% 193.45/31.43  ----------------------------------------------------------------
% 193.45/31.43    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 193.45/31.43         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 193.45/31.43    (2)   ~ (e3 = e2)
% 193.45/31.43    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.43    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.45/31.43         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.45/31.43    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.45/31.43         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.45/31.43    (6)  all_56_14 = e3
% 193.45/31.43    (7)   ~ (all_52_8 = e2)
% 193.45/31.43    (8)   ~ (e1 = e0)
% 193.45/31.43    (9)   ~ (e2 = e1)
% 193.45/31.43    (10)  op(e3, e1) = all_52_8
% 193.45/31.43    (11)   ~ (e3 = e1)
% 193.45/31.43    (12)  op(e1, e1) = e3
% 193.45/31.43    (13)   ~ (e2 = e0)
% 193.45/31.43    (14)   ~ (e3 = e0)
% 193.45/31.43  
% 193.45/31.43  Begin of proof
% 193.45/31.43  | 
% 193.45/31.43  | BETA: splitting (4) gives:
% 193.45/31.43  | 
% 193.45/31.43  | Case 1:
% 193.45/31.43  | | 
% 193.45/31.43  | |   (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 193.45/31.43  | |           e2)
% 193.45/31.43  | | 
% 193.45/31.43  | | BETA: splitting (15) gives:
% 193.45/31.43  | | 
% 193.45/31.43  | | Case 1:
% 193.45/31.43  | | | 
% 193.45/31.43  | | |   (16)  all_56_4 = e2 & op(e3, e1) = e2
% 193.45/31.43  | | | 
% 193.45/31.43  | | | REF_CLOSE: (3), (7), (10), (16) are inconsistent by sub-proof #810.
% 193.45/31.43  | | | 
% 193.45/31.43  | | Case 2:
% 193.45/31.43  | | | 
% 193.45/31.43  | | |   (17)  all_56_5 = e2 & op(e2, e1) = e2
% 193.45/31.43  | | | 
% 193.45/31.43  | | | ALPHA: (17) implies:
% 193.45/31.43  | | |   (18)  op(e2, e1) = e2
% 193.45/31.43  | | | 
% 193.45/31.43  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (12), (13), (14),
% 193.45/31.43  | | |            (18) are inconsistent by sub-proof #123.
% 193.45/31.43  | | | 
% 193.45/31.43  | | End of split
% 193.45/31.43  | | 
% 193.45/31.43  | Case 2:
% 193.45/31.43  | | 
% 193.45/31.43  | |   (19)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 193.45/31.43  | |           e2)
% 193.45/31.43  | | 
% 193.45/31.43  | | REF_CLOSE: (2), (3), (6), (12), (19) are inconsistent by sub-proof #1610.
% 193.45/31.43  | | 
% 193.45/31.43  | End of split
% 193.45/31.43  | 
% 193.45/31.43  End of proof
% 193.45/31.43  
% 193.45/31.43  Sub-proof #71 shows that the following formulas are inconsistent:
% 193.45/31.43  ----------------------------------------------------------------
% 193.45/31.43    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 193.45/31.43         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 193.45/31.43    (2)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 193.45/31.43         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 193.45/31.43    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.45/31.43           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.45/31.43           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 193.45/31.43                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.45/31.43               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.45/31.43               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.43           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 193.45/31.43           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.43               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.45/31.43           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.45/31.43               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 193.45/31.43           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 193.45/31.43           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 193.45/31.43               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.43               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.45/31.43               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.43         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 193.45/31.43           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.45/31.43           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 193.45/31.43               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.45/31.43             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.43         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 193.45/31.43           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.45/31.43           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 193.45/31.43                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 193.45/31.43               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 193.45/31.43               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 193.45/31.43           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 193.45/31.43           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.45/31.43             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.43           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.45/31.43               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 193.45/31.43           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 193.45/31.43           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 193.45/31.43               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.43               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.45/31.43               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.43         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 193.45/31.43           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.45/31.43           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 193.45/31.43               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.45/31.43             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.43         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.45/31.43           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.45/31.43           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.45/31.43                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 193.45/31.43               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.45/31.43               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 193.45/31.43           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 193.45/31.43             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.45/31.43               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.43           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.43               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 193.45/31.43           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.45/31.43           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 193.45/31.43               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.45/31.43               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.43               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.45/31.43         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 193.45/31.43           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.45/31.43           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 193.45/31.43               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 193.45/31.43             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.45/31.43         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.45/31.43             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.45/31.43           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.45/31.43               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.45/31.43             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.43         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.45/31.43             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.45/31.43           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.45/31.43               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.45/31.43             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.43         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.45/31.43             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.45/31.43           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 193.45/31.43               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 193.45/31.43             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.43         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 193.45/31.43             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.45/31.43           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 193.45/31.43               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 193.45/31.43             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.45/31.43    (4)   ~ (all_52_3 = e1)
% 193.45/31.43    (5)   ~ (all_52_13 = e3)
% 193.45/31.43    (6)  all_56_9 = e3
% 193.45/31.43    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.45/31.43         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.45/31.43    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 193.45/31.43         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 193.45/31.43    (9)  op(e0, e0) = e1
% 193.45/31.43    (10)  op(e3, e0) = e3
% 193.45/31.43    (11)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 193.45/31.43          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 193.45/31.43    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.45/31.43          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.45/31.43    (13)  all_54_2 = all_52_8
% 193.45/31.43    (14)   ~ (e3 = e2)
% 193.45/31.43    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.45/31.43            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.45/31.43    (16)  op(e3, e2) = all_52_4
% 193.45/31.43    (17)  op(e2, e2) = e3
% 193.45/31.43    (18)   ~ (all_52_7 = all_52_11)
% 193.45/31.43    (19)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.45/31.43          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.45/31.43    (20)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.45/31.43          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.45/31.43    (21)   ~ (all_52_9 = e3)
% 193.45/31.43    (22)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 193.45/31.43          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 193.45/31.43            e1)
% 193.45/31.43    (23)  all_56_12 = e3
% 193.45/31.43    (24)   ~ (all_52_4 = e2)
% 193.45/31.43    (25)   ~ (all_52_8 = e3)
% 193.45/31.43    (26)   ~ (all_52_14 = e3)
% 193.45/31.43    (27)  op(e0, e3) = all_52_3
% 193.45/31.43    (28)  all_56_14 = e2
% 193.45/31.43    (29)  op(e2, e0) = all_52_13
% 193.45/31.43    (30)  op(e1, e0) = all_52_14
% 193.45/31.43    (31)   ~ (all_52_13 = e1)
% 193.45/31.44    (32)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.45/31.44              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.45/31.44            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.45/31.44            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.45/31.44            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.44            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.45/31.44            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 193.45/31.44            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.45/31.44            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 193.45/31.44            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.45/31.44            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.44            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 193.45/31.44            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.44            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.44            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.45/31.44            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.44            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.44            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 193.45/31.44            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.44            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.44            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 193.45/31.44            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.44            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.44            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 193.45/31.44            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.44            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.44            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.44            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.45/31.44            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.44            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 193.45/31.44            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.45/31.44            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.45/31.44            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.45/31.44            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.44            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.44            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.44            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.44            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.44            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.45/31.44            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.44            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.44            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 193.45/31.44            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.44            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.45/31.44            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 193.45/31.44            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.45/31.44            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.44            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.44              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 193.45/31.44            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.44            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.44              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.45/31.44            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.44            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 193.45/31.44                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.44                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.44                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.44                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.44                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.45/31.44                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.45/31.44                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.44              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.45/31.44                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.45/31.44                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.45/31.44                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.44                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.45/31.44                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.45/31.44                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.45/31.44                $i(all_57_7))))
% 193.45/31.44    (33)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 193.45/31.44          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 193.45/31.44    (34)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 193.45/31.44          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 193.45/31.44    (35)   ~ (all_52_7 = e1)
% 193.45/31.44    (36)  op(e0, e1) = all_52_11
% 193.45/31.44    (37)   ~ (all_52_14 = e1)
% 193.45/31.44    (38)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 193.45/31.44          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 193.45/31.44    (39)   ~ (all_52_8 = all_52_12)
% 193.45/31.44    (40)   ~ (all_52_8 = e2)
% 193.45/31.44    (41)  op(e3, e3) = e2
% 193.45/31.44    (42)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 193.45/31.44          | (all_56_14 = e0 & op(e0, e1) = e0)
% 193.45/31.44    (43)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 193.45/31.44    (44)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 193.45/31.44          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 193.45/31.44    (45)   ~ (e1 = e0)
% 193.45/31.44    (46)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 193.45/31.44          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 193.45/31.44    (47)   ~ (all_52_1 = e2)
% 193.45/31.44    (48)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 193.45/31.44              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 193.45/31.44                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 193.45/31.44                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 193.45/31.44    (49)   ~ (e2 = e1)
% 193.45/31.44    (50)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 193.45/31.44          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 193.45/31.44    (51)  op(e3, e0) = all_52_12
% 193.45/31.44    (52)  op(e2, e1) = all_52_9
% 193.45/31.44    (53)  op(e3, e1) = all_52_8
% 193.45/31.44    (54)   ~ (e3 = e1)
% 193.45/31.44    (55)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 193.45/31.44          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 193.45/31.44    (56)  op(e0, e2) = all_52_7
% 193.45/31.44    (57)  op(e1, e1) = e3
% 193.45/31.44    (58)   ~ (e2 = e0)
% 193.45/31.44    (59)  op(e2, e3) = all_52_1
% 193.45/31.44    (60)   ~ (e3 = e0)
% 193.45/31.44    (61)   ~ (all_52_3 = all_52_11)
% 193.45/31.44  
% 193.45/31.44  Begin of proof
% 193.45/31.44  | 
% 193.45/31.44  | BETA: splitting (42) gives:
% 193.45/31.44  | 
% 193.45/31.44  | Case 1:
% 193.45/31.44  | | 
% 193.45/31.44  | |   (62)  all_56_12 = e0 & op(e0, e3) = e0
% 193.45/31.44  | | 
% 193.45/31.44  | | ALPHA: (62) implies:
% 193.45/31.44  | |   (63)  all_56_12 = e0
% 193.45/31.44  | | 
% 193.45/31.44  | | REF_CLOSE: (23), (60), (63) are inconsistent by sub-proof #1700.
% 193.45/31.44  | | 
% 193.45/31.44  | Case 2:
% 193.45/31.44  | | 
% 193.45/31.44  | |   (64)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 193.45/31.44  | |           e0)
% 193.45/31.44  | | 
% 193.45/31.44  | | BETA: splitting (64) gives:
% 193.45/31.44  | | 
% 193.45/31.44  | | Case 1:
% 193.45/31.44  | | | 
% 193.45/31.44  | | |   (65)  all_56_13 = e0 & op(e0, e2) = e0
% 193.45/31.44  | | | 
% 193.45/31.44  | | | ALPHA: (65) implies:
% 193.45/31.44  | | |   (66)  op(e0, e2) = e0
% 193.45/31.44  | | | 
% 193.45/31.44  | | | BETA: splitting (11) gives:
% 193.45/31.44  | | | 
% 193.45/31.44  | | | Case 1:
% 193.45/31.44  | | | | 
% 193.45/31.44  | | | |   (67)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2)
% 193.45/31.44  | | | |           = e2)
% 193.45/31.44  | | | | 
% 193.45/31.44  | | | | REF_CLOSE: (14), (15), (16), (17), (24), (67) are inconsistent by
% 193.45/31.44  | | | |            sub-proof #103.
% 193.45/31.44  | | | | 
% 193.45/31.44  | | | Case 2:
% 193.45/31.44  | | | | 
% 193.45/31.44  | | | |   (68)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2)
% 193.45/31.44  | | | |           = e2)
% 193.45/31.44  | | | | 
% 193.45/31.44  | | | | BETA: splitting (68) gives:
% 193.45/31.44  | | | | 
% 193.45/31.44  | | | | Case 1:
% 193.45/31.44  | | | | | 
% 193.45/31.44  | | | | |   (69)  all_56_7 = e2 & op(e1, e2) = e2
% 193.45/31.44  | | | | | 
% 193.45/31.44  | | | | | ALPHA: (69) implies:
% 193.45/31.44  | | | | |   (70)  all_56_7 = e2
% 193.45/31.44  | | | | |   (71)  op(e1, e2) = e2
% 193.45/31.44  | | | | | 
% 193.45/31.44  | | | | | BETA: splitting (1) gives:
% 193.45/31.44  | | | | | 
% 193.45/31.44  | | | | | Case 1:
% 193.45/31.44  | | | | | | 
% 193.45/31.44  | | | | | |   (72)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2,
% 193.45/31.44  | | | | | |             e2) = e1)
% 193.45/31.44  | | | | | | 
% 193.45/31.44  | | | | | | BETA: splitting (72) gives:
% 193.45/31.44  | | | | | | 
% 193.45/31.44  | | | | | | Case 1:
% 193.45/31.44  | | | | | | | 
% 193.45/31.44  | | | | | | |   (73)  all_56_1 = e1 & op(e3, e2) = e1
% 193.45/31.44  | | | | | | | 
% 193.45/31.44  | | | | | | | ALPHA: (73) implies:
% 193.45/31.44  | | | | | | |   (74)  all_56_1 = e1
% 193.45/31.44  | | | | | | | 
% 193.45/31.44  | | | | | | | BETA: splitting (34) gives:
% 193.45/31.44  | | | | | | | 
% 193.45/31.44  | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | 
% 193.45/31.44  | | | | | | | |   (75)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 &
% 193.45/31.44  | | | | | | | |           op(e1, e2) = e1)
% 193.45/31.44  | | | | | | | | 
% 193.45/31.44  | | | | | | | | BETA: splitting (75) gives:
% 193.45/31.44  | | | | | | | | 
% 193.45/31.44  | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | 
% 193.45/31.44  | | | | | | | | |   (76)  all_56_6 = e1 & op(e1, e3) = e1
% 193.45/31.44  | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | ALPHA: (76) implies:
% 193.45/31.44  | | | | | | | | |   (77)  all_56_6 = e1
% 193.45/31.44  | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | BETA: splitting (12) gives:
% 193.45/31.44  | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | |   (78)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 193.45/31.44  | | | | | | | | | |           op(e2, e3) = e0)
% 193.45/31.44  | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | BETA: splitting (78) gives:
% 193.45/31.44  | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | |   (79)  all_56_0 = e0 & op(e3, e3) = e0
% 193.45/31.44  | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | ALPHA: (79) implies:
% 193.45/31.44  | | | | | | | | | | |   (80)  op(e3, e3) = e0
% 193.45/31.44  | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | REF_CLOSE: (15), (41), (58), (80) are inconsistent by
% 193.45/31.44  | | | | | | | | | | |            sub-proof #833.
% 193.45/31.44  | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | Case 2:
% 193.45/31.44  | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | |   (81)  all_56_2 = e0 & op(e2, e3) = e0
% 193.45/31.44  | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | ALPHA: (81) implies:
% 193.45/31.44  | | | | | | | | | | |   (82)  all_56_2 = e0
% 193.45/31.44  | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | BETA: splitting (44) gives:
% 193.45/31.44  | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | |   (83)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 193.45/31.44  | | | | | | | | | | | |           & op(e2, e2) = e1)
% 193.45/31.44  | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | BETA: splitting (83) gives:
% 193.45/31.44  | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | |   (84)  all_56_2 = e1 & op(e2, e3) = e1
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | ALPHA: (84) implies:
% 193.45/31.44  | | | | | | | | | | | | |   (85)  all_56_2 = e1
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | REF_CLOSE: (7), (12), (14), (23), (45), (49), (58), (60),
% 193.45/31.44  | | | | | | | | | | | | |            (77), (85) are inconsistent by sub-proof #275.
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | Case 2:
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | |   (86)  all_56_3 = e1 & op(e2, e2) = e1
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | ALPHA: (86) implies:
% 193.45/31.44  | | | | | | | | | | | | |   (87)  op(e2, e2) = e1
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | REF_CLOSE: (5), (15), (21), (29), (38), (52), (54), (60),
% 193.45/31.44  | | | | | | | | | | | | |            (82), (87) are inconsistent by sub-proof #581.
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | End of split
% 193.45/31.44  | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | Case 2:
% 193.45/31.44  | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | |   (88)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 193.45/31.44  | | | | | | | | | | | |           e1 & op(e2, e0) = e1)
% 193.45/31.44  | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | BETA: splitting (88) gives:
% 193.45/31.44  | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | |   (89)  all_56_5 = e1 & op(e2, e1) = e1
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | ALPHA: (89) implies:
% 193.45/31.44  | | | | | | | | | | | | |   (90)  all_56_5 = e1
% 193.45/31.44  | | | | | | | | | | | | |   (91)  op(e2, e1) = e1
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | BETA: splitting (50) gives:
% 193.45/31.44  | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | |   (92)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 193.45/31.44  | | | | | | | | | | | | | |           & op(e2, e2) = e2)
% 193.45/31.44  | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (17), (47), (59), (92) are
% 193.45/31.44  | | | | | | | | | | | | | |            inconsistent by sub-proof #212.
% 193.45/31.44  | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | Case 2:
% 193.45/31.44  | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | |   (93)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 193.45/31.44  | | | | | | | | | | | | | |           e2 & op(e2, e0) = e2)
% 193.45/31.44  | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 193.45/31.44  | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | |   (94)  all_56_5 = e2 & op(e2, e1) = e2
% 193.45/31.44  | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | ALPHA: (94) implies:
% 193.45/31.44  | | | | | | | | | | | | | | |   (95)  op(e2, e1) = e2
% 193.45/31.44  | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | REF_CLOSE: (15), (49), (91), (95) are inconsistent by
% 193.45/31.44  | | | | | | | | | | | | | | |            sub-proof #1441.
% 193.45/31.44  | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | Case 2:
% 193.45/31.44  | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | |   (96)  all_56_10 = e2 & op(e2, e0) = e2
% 193.45/31.44  | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | ALPHA: (96) implies:
% 193.45/31.44  | | | | | | | | | | | | | | |   (97)  op(e2, e0) = e2
% 193.45/31.44  | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 193.45/31.44  | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | |   (98)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 193.45/31.44  | | | | | | | | | | | | | | | |           & op(e2, e1) = e0)
% 193.45/31.44  | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 193.45/31.44  | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | |   (99)  all_56_4 = e0 & op(e3, e1) = e0
% 193.45/31.44  | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | ALPHA: (99) implies:
% 193.45/31.44  | | | | | | | | | | | | | | | | |   (100)  all_56_4 = e0
% 193.45/31.44  | | | | | | | | | | | | | | | | |   (101)  op(e3, e1) = e0
% 193.45/31.44  | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 193.45/31.44  | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | |   (102)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.45/31.44  | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |   (103)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |   (104)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |   (105)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |          e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | ALPHA: (105) implies:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |   (106)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15), (49), (66), (106) are inconsistent by
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |            sub-proof #283.
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |   (107)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |            e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | ALPHA: (107) implies:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |   (108)  op(e3, e2) = e2
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (24), (108) are inconsistent by
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |            sub-proof #825.
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |   (109)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |   (110)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | ALPHA: (110) implies:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |   (111)  op(e3, e3) = e1
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (41), (49), (111) are inconsistent by
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1934.
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |   (112)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | ALPHA: (112) implies:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |   (113)  op(e1, e3) = e1
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |   (114)  op(e3, e1) = e1
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |   (115)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.44  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |   (116)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (116) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |   (117)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |   (118)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (47), (59), (113), (118) are inconsistent by
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #755.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |   (119)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (57), (119) are inconsistent by sub-proof
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            #133.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |   (120)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (120) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |   (121)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (41), (121) are inconsistent by sub-proof
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            #798.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |   (122)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (123)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (123) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (124)  op(e1, e2) = e1
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (49), (71), (124) are inconsistent by
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #784.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (125)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (126)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (126) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (127)  op(e1, e2) = e1
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (49), (71), (127) are inconsistent by
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #784.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (128)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (128) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (129)  op(e2, e2) = e1
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15), (21), (29), (38), (52), (54), (60),
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (129) are inconsistent by sub-proof #581.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |   (130)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |   (131)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |   (132)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (133)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (134)  op(e3, e1) = e3
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (39), (51), (53), (134) are
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1912.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (135)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (136)  op(e3, e3) = e1
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (41), (49), (136) are inconsistent by
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1934.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |   (137)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (138)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (138) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (139)  op(e2, e1) = e2
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (20), (28), (45), (49), (54), (57), (100),
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            (139) are inconsistent by sub-proof #698.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (140)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (141)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (142)   ~ (all_57_11 = e2)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (143)  op(e2, e0) = all_57_11
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (97), (142), (143) are inconsistent by
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #433.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (144)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (144) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (145)  op(e1, e1) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (19), (46), (49), (54), (58), (60),
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (100), (145) are inconsistent by sub-proof
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1817.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |   (146)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |   (147)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (41), (58), (147) are inconsistent by
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #819.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |   (148)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (149)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (149) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (150)  op(e1, e1) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (19), (46), (49), (54), (58), (60),
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (100), (150) are inconsistent by sub-proof
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            #1817.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (151)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (152)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (152) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (153)  op(e1, e0) = e1
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (30), (37), (153) are inconsistent by
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (154)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 193.45/31.45  | | | | | | | | | | | | | | | | | | | | | | | | | |   (155)  op(e0, e0) = all_57_15
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (156)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.45/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (157)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (158)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (158) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (159)   ~ (all_57_15 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (160)  op(e0, e3) = e0
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (115), (155), (159), (160) are inconsistent
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1275.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (161)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (162)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (163)   ~ (all_57_15 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (164)  op(e0, e3) = e0
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (115), (155), (163), (164) are inconsistent
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1275.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with e0, e1, e1, e3,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (101), (114) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (165)  e1 = e0
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (90), (165) imply:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (166)  all_56_5 = e0
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (19), (20), (45), (49), (54), (57),
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (100), (166) are inconsistent by sub-proof
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1153.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (167)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (168)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (169)  op(e1, e1) = e2
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (57), (169) are inconsistent by
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1777.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (170)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (171)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (171) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (172)  op(e3, e3) = e1
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (41), (49), (172) are inconsistent by
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1934.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  op(e2, e2) = e1
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15), (21), (29), (38), (52), (54), (60),
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (174) are inconsistent by sub-proof #581.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |   (175)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |   (176)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (41), (58), (60), (176) are
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #809.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |   (177)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15), (21), (29), (38), (49), (52), (54),
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            (60), (71), (82), (177) are inconsistent by
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            sub-proof #78.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | |   (178)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |   (179)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |   (180)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (181)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (182)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (13), (15), (25), (40), (41), (43), (58),
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |            (182) are inconsistent by sub-proof #732.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (183)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (184)  op(e0, e0) = e2
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (14), (15), (22), (27), (28), (36),
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |            (45), (48), (49), (54), (58), (60), (61), (184)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1228.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |   (185)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (186)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (187)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (13), (15), (25), (40), (41), (43), (58),
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |            (187) are inconsistent by sub-proof #732.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (188)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (189)  op(e0, e1) = e0
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (36), (56), (66), (189) are
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #493.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |   (190)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |   (191)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (192)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | ALPHA: (192) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (193)  op(e3, e3) = e3
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14), (15), (33), (49), (58), (74), (100),
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |            (193) are inconsistent by sub-proof #967.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (194)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |   (195)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15), (49), (66), (195) are inconsistent by
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | |            sub-proof #283.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |   (196)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (13), (15), (25), (40), (41), (43), (54),
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            (57), (58), (196) are inconsistent by sub-proof
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | |            #730.
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | | End of split
% 193.85/31.46  | | | | | | | | | | | | | | | | | 
% 193.85/31.46  | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.46  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | |   (197)  all_56_5 = e0 & op(e2, e1) = e0
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 193.85/31.47  | | | | | | | | | | | | | | | | |   (198)  op(e2, e1) = e0
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (45), (91), (198) are inconsistent by
% 193.85/31.47  | | | | | | | | | | | | | | | | |            sub-proof #72.
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | Case 2:
% 193.85/31.47  | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | |   (199)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 193.85/31.47  | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 193.85/31.47  | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 193.85/31.47  | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | Case 1:
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | |   (200)  all_56_8 = e0 & op(e1, e1) = e0
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 193.85/31.47  | | | | | | | | | | | | | | | | |   (201)  op(e1, e1) = e0
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (26), (30), (54), (55), (60), (71),
% 193.85/31.47  | | | | | | | | | | | | | | | | |            (77), (201) are inconsistent by sub-proof #668.
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | Case 2:
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | |   (202)  all_56_14 = e0 & op(e0, e1) = e0
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 193.85/31.47  | | | | | | | | | | | | | | | | |   (203)  op(e0, e1) = e0
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (36), (56), (66), (203) are
% 193.85/31.47  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #493.
% 193.85/31.47  | | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | Case 2:
% 193.85/31.47  | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | |   (204)  all_56_10 = e1 & op(e2, e0) = e1
% 193.85/31.47  | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | ALPHA: (204) implies:
% 193.85/31.47  | | | | | | | | | | | | |   (205)  op(e2, e0) = e1
% 193.85/31.47  | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | | REF_CLOSE: (15), (29), (31), (205) are inconsistent by
% 193.85/31.47  | | | | | | | | | | | | |            sub-proof #1650.
% 193.85/31.47  | | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | Case 2:
% 193.85/31.47  | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | |   (206)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0
% 193.85/31.47  | | | | | | | | | |            & op(e0, e3) = e0)
% 193.85/31.47  | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | BETA: splitting (206) gives:
% 193.85/31.47  | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | Case 1:
% 193.85/31.47  | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | |   (207)  all_56_6 = e0 & op(e1, e3) = e0
% 193.85/31.47  | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | ALPHA: (207) implies:
% 193.85/31.47  | | | | | | | | | | |   (208)  all_56_6 = e0
% 193.85/31.47  | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | REF_CLOSE: (15), (30), (34), (37), (45), (49), (54), (57),
% 193.85/31.47  | | | | | | | | | | |            (70), (208) are inconsistent by sub-proof #577.
% 193.85/31.47  | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | Case 2:
% 193.85/31.47  | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | |   (209)  all_56_12 = e0 & op(e0, e3) = e0
% 193.85/31.47  | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | | REF_CLOSE: (23), (60), (209) are inconsistent by sub-proof
% 193.85/31.47  | | | | | | | | | | |            #1846.
% 193.85/31.47  | | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | Case 2:
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | |   (210)  all_56_7 = e1 & op(e1, e2) = e1
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | ALPHA: (210) implies:
% 193.85/31.47  | | | | | | | | |   (211)  op(e1, e2) = e1
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | REF_CLOSE: (15), (49), (71), (211) are inconsistent by
% 193.85/31.47  | | | | | | | | |            sub-proof #784.
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | Case 2:
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | |   (212)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 &
% 193.85/31.47  | | | | | | | |            op(e1, e0) = e1)
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | | REF_CLOSE: (15), (30), (37), (54), (57), (212) are inconsistent
% 193.85/31.47  | | | | | | | |            by sub-proof #1770.
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | End of split
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | Case 2:
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | |   (213)  all_56_3 = e1 & op(e2, e2) = e1
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | | ALPHA: (213) implies:
% 193.85/31.47  | | | | | | |   (214)  op(e2, e2) = e1
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | | REF_CLOSE: (15), (17), (54), (214) are inconsistent by sub-proof
% 193.85/31.47  | | | | | | |            #1679.
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | End of split
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | Case 2:
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | |   (215)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 &
% 193.85/31.47  | | | | | |            op(e0, e2) = e1)
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | | BETA: splitting (215) gives:
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | | Case 1:
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | |   (216)  all_56_7 = e1 & op(e1, e2) = e1
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | | ALPHA: (216) implies:
% 193.85/31.47  | | | | | | |   (217)  op(e1, e2) = e1
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | | REF_CLOSE: (15), (49), (71), (217) are inconsistent by sub-proof
% 193.85/31.47  | | | | | | |            #784.
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | Case 2:
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | |   (218)  all_56_13 = e1 & op(e0, e2) = e1
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | | ALPHA: (218) implies:
% 193.85/31.47  | | | | | | |   (219)  op(e0, e2) = e1
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | | REF_CLOSE: (15), (35), (56), (219) are inconsistent by sub-proof
% 193.85/31.47  | | | | | | |            #1649.
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | End of split
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | End of split
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | Case 2:
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | |   (220)  all_56_13 = e2 & op(e0, e2) = e2
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | | ALPHA: (220) implies:
% 193.85/31.47  | | | | |   (221)  op(e0, e2) = e2
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | | REF_CLOSE: (15), (58), (66), (221) are inconsistent by sub-proof #423.
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | End of split
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | End of split
% 193.85/31.47  | | | 
% 193.85/31.47  | | Case 2:
% 193.85/31.47  | | | 
% 193.85/31.47  | | |   (222)  all_56_14 = e0 & op(e0, e1) = e0
% 193.85/31.47  | | | 
% 193.85/31.47  | | | ALPHA: (222) implies:
% 193.85/31.47  | | |   (223)  all_56_14 = e0
% 193.85/31.47  | | | 
% 193.85/31.47  | | | REF_CLOSE: (28), (58), (223) are inconsistent by sub-proof #1695.
% 193.85/31.47  | | | 
% 193.85/31.47  | | End of split
% 193.85/31.47  | | 
% 193.85/31.47  | End of split
% 193.85/31.47  | 
% 193.85/31.47  End of proof
% 193.85/31.47  
% 193.85/31.47  Sub-proof #72 shows that the following formulas are inconsistent:
% 193.85/31.47  ----------------------------------------------------------------
% 193.85/31.47    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.47    (2)  op(e2, e1) = e1
% 193.85/31.47    (3)  op(e2, e1) = e0
% 193.85/31.47    (4)   ~ (e1 = e0)
% 193.85/31.47  
% 193.85/31.47  Begin of proof
% 193.85/31.47  | 
% 193.85/31.47  | GROUND_INST: instantiating (1) with e0, e1, e1, e2, simplifying with (2), (3)
% 193.85/31.47  |              gives:
% 193.85/31.47  |   (5)  e1 = e0
% 193.85/31.47  | 
% 193.85/31.47  | REDUCE: (4), (5) imply:
% 193.85/31.47  |   (6)  $false
% 193.85/31.47  | 
% 193.85/31.47  | CLOSE: (6) is inconsistent.
% 193.85/31.47  | 
% 193.85/31.47  End of proof
% 193.85/31.47  
% 193.85/31.47  Sub-proof #73 shows that the following formulas are inconsistent:
% 193.85/31.47  ----------------------------------------------------------------
% 193.85/31.47    (1)  op(e3, e3) = e0
% 193.85/31.47    (2)  op(e1, e3) = all_52_2
% 193.85/31.47    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.85/31.47         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.85/31.47    (4)   ~ (e3 = e2)
% 193.85/31.47    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.47    (6)  all_56_12 = e3
% 193.85/31.47    (7)   ~ (all_52_2 = e2)
% 193.85/31.47    (8)  all_56_2 = e1
% 193.85/31.47    (9)   ~ (e2 = e1)
% 193.85/31.47    (10)   ~ (e2 = e0)
% 193.85/31.47  
% 193.85/31.47  Begin of proof
% 193.85/31.47  | 
% 193.85/31.47  | BETA: splitting (3) gives:
% 193.85/31.47  | 
% 193.85/31.47  | Case 1:
% 193.85/31.47  | | 
% 193.85/31.47  | |   (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 193.85/31.47  | |           e2)
% 193.85/31.47  | | 
% 193.85/31.47  | | BETA: splitting (11) gives:
% 193.85/31.47  | | 
% 193.85/31.47  | | Case 1:
% 193.85/31.47  | | | 
% 193.85/31.47  | | |   (12)  all_56_0 = e2 & op(e3, e3) = e2
% 193.85/31.47  | | | 
% 193.85/31.47  | | | ALPHA: (12) implies:
% 193.85/31.47  | | |   (13)  op(e3, e3) = e2
% 193.85/31.47  | | | 
% 193.85/31.47  | | | REF_CLOSE: (1), (5), (10), (13) are inconsistent by sub-proof #833.
% 193.85/31.47  | | | 
% 193.85/31.47  | | Case 2:
% 193.85/31.47  | | | 
% 193.85/31.47  | | |   (14)  all_56_2 = e2 & op(e2, e3) = e2
% 193.85/31.47  | | | 
% 193.85/31.47  | | | REF_CLOSE: (8), (9), (14) are inconsistent by sub-proof #1304.
% 193.85/31.47  | | | 
% 193.85/31.47  | | End of split
% 193.85/31.47  | | 
% 193.85/31.47  | Case 2:
% 193.85/31.47  | | 
% 193.85/31.47  | |   (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 193.85/31.47  | |           e2)
% 193.85/31.47  | | 
% 193.85/31.47  | | BETA: splitting (15) gives:
% 193.85/31.47  | | 
% 193.85/31.47  | | Case 1:
% 193.85/31.47  | | | 
% 193.85/31.47  | | |   (16)  all_56_6 = e2 & op(e1, e3) = e2
% 193.85/31.47  | | | 
% 193.85/31.47  | | | REF_CLOSE: (2), (5), (7), (16) are inconsistent by sub-proof #796.
% 193.85/31.47  | | | 
% 193.85/31.47  | | Case 2:
% 193.85/31.47  | | | 
% 193.85/31.47  | | |   (17)  all_56_12 = e2 & op(e0, e3) = e2
% 193.85/31.47  | | | 
% 193.85/31.47  | | | REF_CLOSE: (4), (6), (17) are inconsistent by sub-proof #1848.
% 193.85/31.47  | | | 
% 193.85/31.47  | | End of split
% 193.85/31.47  | | 
% 193.85/31.47  | End of split
% 193.85/31.47  | 
% 193.85/31.47  End of proof
% 193.85/31.47  
% 193.85/31.47  Sub-proof #74 shows that the following formulas are inconsistent:
% 193.85/31.47  ----------------------------------------------------------------
% 193.85/31.47    (1)  op(e1, e0) = e0
% 193.85/31.47    (2)   ~ (all_52_3 = e1)
% 193.85/31.47    (3)   ~ (all_52_3 = e2)
% 193.85/31.47    (4)   ~ (all_12_0 = all_4_0)
% 193.85/31.47    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.47    (6)  all_54_8 = all_12_0
% 193.85/31.47    (7)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.85/31.47    (8)   ~ (all_52_3 = all_52_7)
% 193.85/31.47    (9)  all_54_12 = all_52_3
% 193.85/31.47    (10)  all_54_13 = all_52_7
% 193.85/31.47    (11)  all_54_9 = all_52_6
% 193.85/31.47    (12)  op(e1, e0) = all_52_14
% 193.85/31.47    (13)   ~ (all_12_0 = e0)
% 193.85/31.47    (14)   ~ (all_12_0 = e1)
% 193.85/31.47    (15)  all_54_9 = all_4_0
% 193.85/31.47    (16)   ~ (all_52_7 = all_4_0)
% 193.85/31.47    (17)   ~ (all_52_7 = e1)
% 193.85/31.47    (18)   ~ (all_52_6 = all_52_14)
% 193.85/31.47    (19)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.85/31.47    (20)   ~ (all_52_3 = all_12_0)
% 193.85/31.47    (21)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 193.85/31.47    (22)   ~ (all_52_7 = e3)
% 193.85/31.47    (23)   ~ (all_52_6 = e1)
% 193.85/31.47    (24)   ~ (all_12_0 = e2)
% 193.85/31.47    (25)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.85/31.47  
% 193.85/31.47  Begin of proof
% 193.85/31.47  | 
% 193.85/31.47  | BETA: splitting (19) gives:
% 193.85/31.47  | 
% 193.85/31.47  | Case 1:
% 193.85/31.47  | | 
% 193.85/31.47  | |   (26)  all_54_8 = e3
% 193.85/31.47  | | 
% 193.85/31.47  | | COMBINE_EQS: (6), (26) imply:
% 193.85/31.47  | |   (27)  all_12_0 = e3
% 193.85/31.47  | | 
% 193.85/31.47  | | SIMP: (27) implies:
% 193.85/31.47  | |   (28)  all_12_0 = e3
% 193.85/31.47  | | 
% 193.85/31.47  | | REDUCE: (20), (28) imply:
% 193.85/31.47  | |   (29)   ~ (all_52_3 = e3)
% 193.85/31.47  | | 
% 193.85/31.47  | | REDUCE: (4), (28) imply:
% 193.85/31.47  | |   (30)   ~ (all_4_0 = e3)
% 193.85/31.47  | | 
% 193.85/31.47  | | SIMP: (30) implies:
% 193.85/31.47  | |   (31)   ~ (all_4_0 = e3)
% 193.85/31.47  | | 
% 193.85/31.47  | | BETA: splitting (25) gives:
% 193.85/31.47  | | 
% 193.85/31.47  | | Case 1:
% 193.85/31.47  | | | 
% 193.85/31.47  | | |   (32)  all_54_9 = e3
% 193.85/31.47  | | | 
% 193.85/31.47  | | | REF_CLOSE: (15), (31), (32) are inconsistent by sub-proof #75.
% 193.85/31.47  | | | 
% 193.85/31.47  | | Case 2:
% 193.85/31.47  | | | 
% 193.85/31.47  | | |   (33)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.85/31.47  | | | 
% 193.85/31.47  | | | BETA: splitting (33) gives:
% 193.85/31.47  | | | 
% 193.85/31.47  | | | Case 1:
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | |   (34)  all_54_9 = e2
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | | COMBINE_EQS: (15), (34) imply:
% 193.85/31.47  | | | |   (35)  all_4_0 = e2
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | | SIMP: (35) implies:
% 193.85/31.47  | | | |   (36)  all_4_0 = e2
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | | REDUCE: (16), (36) imply:
% 193.85/31.47  | | | |   (37)   ~ (all_52_7 = e2)
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | | BETA: splitting (21) gives:
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | | Case 1:
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | |   (38)  all_54_13 = e3
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | | REF_CLOSE: (10), (22), (38) are inconsistent by sub-proof #1445.
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | Case 2:
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | |   (39)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | | BETA: splitting (7) gives:
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | | Case 1:
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | |   (40)  all_54_12 = e3
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | | REF_CLOSE: (9), (29), (40) are inconsistent by sub-proof #1466.
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | Case 2:
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | |   (41)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | | BETA: splitting (39) gives:
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | | Case 1:
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | |   (42)  all_54_13 = e2
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | | REF_CLOSE: (10), (37), (42) are inconsistent by sub-proof #1444.
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | Case 2:
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | |   (43)  all_54_13 = e1 | all_54_13 = e0
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | | BETA: splitting (43) gives:
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | | Case 1:
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | |   (44)  all_54_13 = e1
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | | REF_CLOSE: (10), (17), (44) are inconsistent by sub-proof #1654.
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | Case 2:
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | |   (45)  all_54_13 = e0
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | | COMBINE_EQS: (10), (45) imply:
% 193.85/31.47  | | | | | | | |   (46)  all_52_7 = e0
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | | SIMP: (46) implies:
% 193.85/31.47  | | | | | | | |   (47)  all_52_7 = e0
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | | REDUCE: (8), (47) imply:
% 193.85/31.47  | | | | | | | |   (48)   ~ (all_52_3 = e0)
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | | BETA: splitting (41) gives:
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | | Case 1:
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | |   (49)  all_54_12 = e2
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | REF_CLOSE: (3), (9), (49) are inconsistent by sub-proof #1465.
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | Case 2:
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | |   (50)  all_54_12 = e1 | all_54_12 = e0
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | | REF_CLOSE: (2), (9), (48), (50) are inconsistent by sub-proof
% 193.85/31.47  | | | | | | | | |            #845.
% 193.85/31.47  | | | | | | | | | 
% 193.85/31.47  | | | | | | | | End of split
% 193.85/31.47  | | | | | | | | 
% 193.85/31.47  | | | | | | | End of split
% 193.85/31.47  | | | | | | | 
% 193.85/31.47  | | | | | | End of split
% 193.85/31.47  | | | | | | 
% 193.85/31.47  | | | | | End of split
% 193.85/31.47  | | | | | 
% 193.85/31.47  | | | | End of split
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | Case 2:
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | |   (51)  all_54_9 = e1 | all_54_9 = e0
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | | REF_CLOSE: (1), (5), (11), (12), (18), (23), (51) are inconsistent by
% 193.85/31.47  | | | |            sub-proof #231.
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | End of split
% 193.85/31.47  | | | 
% 193.85/31.47  | | End of split
% 193.85/31.47  | | 
% 193.85/31.47  | Case 2:
% 193.85/31.47  | | 
% 193.85/31.47  | |   (52)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.85/31.47  | | 
% 193.85/31.47  | | REF_CLOSE: (6), (13), (14), (24), (52) are inconsistent by sub-proof #610.
% 193.85/31.47  | | 
% 193.85/31.47  | End of split
% 193.85/31.47  | 
% 193.85/31.47  End of proof
% 193.85/31.47  
% 193.85/31.47  Sub-proof #75 shows that the following formulas are inconsistent:
% 193.85/31.47  ----------------------------------------------------------------
% 193.85/31.47    (1)  all_54_9 = all_4_0
% 193.85/31.47    (2)  all_54_9 = e3
% 193.85/31.47    (3)   ~ (all_4_0 = e3)
% 193.85/31.47  
% 193.85/31.47  Begin of proof
% 193.85/31.47  | 
% 193.85/31.47  | COMBINE_EQS: (1), (2) imply:
% 193.85/31.47  |   (4)  all_4_0 = e3
% 193.85/31.47  | 
% 193.85/31.47  | SIMP: (4) implies:
% 193.85/31.47  |   (5)  all_4_0 = e3
% 193.85/31.47  | 
% 193.85/31.47  | REDUCE: (3), (5) imply:
% 193.85/31.47  |   (6)  $false
% 193.85/31.47  | 
% 193.85/31.47  | CLOSE: (6) is inconsistent.
% 193.85/31.47  | 
% 193.85/31.47  End of proof
% 193.85/31.47  
% 193.85/31.47  Sub-proof #76 shows that the following formulas are inconsistent:
% 193.85/31.47  ----------------------------------------------------------------
% 193.85/31.47    (1)  all_56_7 = e0 & op(e1, e2) = e0
% 193.85/31.47    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 193.85/31.47         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 193.85/31.47    (3)   ~ (e3 = e2)
% 193.85/31.47    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.47    (5)  op(e3, e2) = all_52_4
% 193.85/31.47    (6)  op(e2, e2) = e3
% 193.85/31.47    (7)   ~ (all_52_4 = e2)
% 193.85/31.47    (8)   ~ (all_4_0 = e3)
% 193.85/31.47    (9)  all_54_9 = all_4_0
% 193.85/31.47    (10)   ~ (all_4_0 = e1)
% 193.85/31.47    (11)   ~ (all_52_7 = all_4_0)
% 193.85/31.47    (12)  op(e0, e2) = all_52_7
% 193.85/31.47    (13)   ~ (e2 = e0)
% 193.85/31.47    (14)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.85/31.47    (15)   ~ (all_4_0 = e0)
% 193.85/31.47  
% 193.85/31.47  Begin of proof
% 193.85/31.47  | 
% 193.85/31.47  | ALPHA: (1) implies:
% 193.85/31.47  |   (16)  all_56_7 = e0
% 193.85/31.47  | 
% 193.85/31.47  | BETA: splitting (2) gives:
% 193.85/31.47  | 
% 193.85/31.47  | Case 1:
% 193.85/31.47  | | 
% 193.85/31.47  | |   (17)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 193.85/31.47  | |           e2)
% 193.85/31.47  | | 
% 193.85/31.47  | | REF_CLOSE: (3), (4), (5), (6), (7), (17) are inconsistent by sub-proof #103.
% 193.85/31.47  | | 
% 193.85/31.47  | Case 2:
% 193.85/31.47  | | 
% 193.85/31.47  | |   (18)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 193.85/31.47  | |           e2)
% 193.85/31.47  | | 
% 193.85/31.47  | | BETA: splitting (18) gives:
% 193.85/31.47  | | 
% 193.85/31.47  | | Case 1:
% 193.85/31.47  | | | 
% 193.85/31.47  | | |   (19)  all_56_7 = e2 & op(e1, e2) = e2
% 193.85/31.47  | | | 
% 193.85/31.47  | | | REF_CLOSE: (13), (16), (19) are inconsistent by sub-proof #1262.
% 193.85/31.47  | | | 
% 193.85/31.47  | | Case 2:
% 193.85/31.47  | | | 
% 193.85/31.47  | | |   (20)  all_56_13 = e2 & op(e0, e2) = e2
% 193.85/31.47  | | | 
% 193.85/31.47  | | | ALPHA: (20) implies:
% 193.85/31.47  | | |   (21)  op(e0, e2) = e2
% 193.85/31.47  | | | 
% 193.85/31.47  | | | BETA: splitting (14) gives:
% 193.85/31.47  | | | 
% 193.85/31.47  | | | Case 1:
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | |   (22)  all_54_9 = e3
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | | COMBINE_EQS: (9), (22) imply:
% 193.85/31.47  | | | |   (23)  all_4_0 = e3
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | | REDUCE: (8), (23) imply:
% 193.85/31.47  | | | |   (24)  $false
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | | CLOSE: (24) is inconsistent.
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | Case 2:
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | |   (25)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | | REF_CLOSE: (4), (9), (10), (11), (12), (15), (21), (25) are inconsistent
% 193.85/31.47  | | | |            by sub-proof #119.
% 193.85/31.47  | | | | 
% 193.85/31.47  | | | End of split
% 193.85/31.47  | | | 
% 193.85/31.47  | | End of split
% 193.85/31.47  | | 
% 193.85/31.47  | End of split
% 193.85/31.47  | 
% 193.85/31.47  End of proof
% 193.85/31.47  
% 193.85/31.47  Sub-proof #77 shows that the following formulas are inconsistent:
% 193.85/31.47  ----------------------------------------------------------------
% 193.85/31.47    (1)  op(e1, e1) = e1
% 193.85/31.47    (2)  op(e1, e2) = all_52_6
% 193.85/31.47    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.47    (4)  all_54_8 = all_12_0
% 193.85/31.47    (5)  op(e1, e0) = all_52_14
% 193.85/31.47    (6)   ~ (all_12_0 = e0)
% 193.85/31.47    (7)   ~ (all_12_0 = e1)
% 193.85/31.47    (8)  all_56_6 = e0
% 193.85/31.47    (9)   ~ (all_52_14 = all_12_0)
% 193.85/31.47    (10)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.85/31.47    (11)   ~ (all_52_6 = e3)
% 193.85/31.47    (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 193.85/31.47          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 193.85/31.47    (13)   ~ (all_12_0 = e2)
% 193.85/31.47  
% 193.85/31.47  Begin of proof
% 193.85/31.47  | 
% 193.85/31.47  | BETA: splitting (10) gives:
% 193.85/31.47  | 
% 193.85/31.47  | Case 1:
% 193.85/31.47  | | 
% 193.85/31.47  | |   (14)  all_54_8 = e3
% 193.85/31.47  | | 
% 193.85/31.47  | | COMBINE_EQS: (4), (14) imply:
% 193.85/31.47  | |   (15)  all_12_0 = e3
% 193.85/31.47  | | 
% 193.85/31.47  | | SIMP: (15) implies:
% 193.85/31.47  | |   (16)  all_12_0 = e3
% 193.85/31.47  | | 
% 193.85/31.47  | | REDUCE: (9), (16) imply:
% 193.85/31.47  | |   (17)   ~ (all_52_14 = e3)
% 193.85/31.47  | | 
% 193.85/31.47  | | REDUCE: (7), (16) imply:
% 193.85/31.47  | |   (18)   ~ (e3 = e1)
% 193.85/31.47  | | 
% 193.85/31.47  | | REDUCE: (6), (16) imply:
% 193.85/31.47  | |   (19)   ~ (e3 = e0)
% 193.85/31.47  | | 
% 193.85/31.47  | | REF_CLOSE: (1), (2), (3), (5), (8), (11), (12), (17), (18), (19) are
% 193.85/31.47  | |            inconsistent by sub-proof #143.
% 193.85/31.47  | | 
% 193.85/31.47  | Case 2:
% 193.85/31.47  | | 
% 193.85/31.47  | |   (20)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.85/31.47  | | 
% 193.85/31.47  | | REF_CLOSE: (4), (6), (7), (13), (20) are inconsistent by sub-proof #610.
% 193.85/31.47  | | 
% 193.85/31.47  | End of split
% 193.85/31.47  | 
% 193.85/31.47  End of proof
% 193.85/31.47  
% 193.85/31.47  Sub-proof #78 shows that the following formulas are inconsistent:
% 193.85/31.47  ----------------------------------------------------------------
% 193.85/31.47    (1)   ~ (all_52_13 = e3)
% 193.85/31.47    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.47    (3)   ~ (all_52_9 = e3)
% 193.85/31.47    (4)  op(e1, e2) = e2
% 193.85/31.47    (5)  op(e2, e0) = all_52_13
% 193.85/31.47    (6)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 193.85/31.47           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 193.85/31.47           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 193.85/31.47                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 193.85/31.47               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 193.85/31.47               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 193.85/31.47           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 193.85/31.47           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.47               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.47           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 193.85/31.47               = all_57_5 & $i(all_57_5))))
% 193.85/31.47    (7)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 193.85/31.47         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 193.85/31.47    (8)   ~ (e2 = e1)
% 193.85/31.47    (9)  all_56_2 = e0
% 193.85/31.47    (10)  op(e2, e1) = all_52_9
% 193.85/31.47    (11)   ~ (e3 = e1)
% 193.85/31.47    (12)   ~ (e3 = e0)
% 193.85/31.47  
% 193.85/31.47  Begin of proof
% 193.85/31.47  | 
% 193.85/31.47  | BETA: splitting (6) gives:
% 193.85/31.47  | 
% 193.85/31.47  | Case 1:
% 193.85/31.47  | | 
% 193.85/31.47  | |   (13)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 193.85/31.47  | |         op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 193.85/31.47  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 193.85/31.47  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 =
% 193.85/31.47  | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.85/31.47  | |             all_57_8 & $i(all_57_8)))
% 193.85/31.47  | | 
% 193.85/31.47  | | ALPHA: (13) implies:
% 193.85/31.47  | |   (14)  op(e2, e2) = e1
% 193.85/31.47  | | 
% 193.85/31.47  | | REF_CLOSE: (1), (2), (3), (5), (7), (9), (10), (11), (12), (14) are
% 193.85/31.47  | |            inconsistent by sub-proof #581.
% 193.85/31.47  | | 
% 193.85/31.47  | Case 2:
% 193.85/31.47  | | 
% 193.85/31.47  | |   (15)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 193.85/31.47  | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 193.85/31.47  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 193.85/31.47  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 193.85/31.47  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.85/31.47  | |             all_57_5 & $i(all_57_5)))
% 193.85/31.47  | | 
% 193.85/31.47  | | ALPHA: (15) implies:
% 193.85/31.47  | |   (16)  op(e1, e2) = e1
% 193.85/31.47  | | 
% 193.85/31.47  | | REF_CLOSE: (2), (4), (8), (16) are inconsistent by sub-proof #784.
% 193.85/31.47  | | 
% 193.85/31.47  | End of split
% 193.85/31.47  | 
% 193.85/31.47  End of proof
% 193.85/31.47  
% 193.85/31.47  Sub-proof #79 shows that the following formulas are inconsistent:
% 193.85/31.47  ----------------------------------------------------------------
% 193.85/31.47    (1)   ~ (all_52_4 = e3)
% 193.85/31.47    (2)  op(e1, e3) = all_52_2
% 193.85/31.48    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.85/31.48           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.85/31.48           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 193.85/31.48                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.85/31.48               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.85/31.48               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.85/31.48           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 193.85/31.48           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.48               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.85/31.48           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.85/31.48               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 193.85/31.48           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 193.85/31.48           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 193.85/31.48               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.48               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.48               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.48         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 193.85/31.48           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.85/31.48           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 193.85/31.48               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.85/31.48             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.85/31.48         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 193.85/31.48           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.85/31.48           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 193.85/31.48                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 193.85/31.48               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 193.85/31.48               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 193.85/31.48           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 193.85/31.48           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.85/31.48             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.48           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.85/31.48               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 193.85/31.48           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 193.85/31.48           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 193.85/31.48               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.48               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.48               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.48         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 193.85/31.48           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.85/31.48           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 193.85/31.48               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.85/31.48             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.85/31.48         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.85/31.48           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.85/31.48           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.85/31.48                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 193.85/31.48               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.48               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 193.85/31.48           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 193.85/31.48             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.48               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.48           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.85/31.48               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 193.85/31.48           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.85/31.48           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 193.85/31.48               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.48               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.48               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.85/31.48         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 193.85/31.48           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.85/31.48           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 193.85/31.48               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 193.85/31.48             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.85/31.48         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.85/31.48             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.48           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.85/31.48               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.85/31.48             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.85/31.48         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.85/31.48             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.48           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.85/31.48               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.85/31.48             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.85/31.48         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.85/31.48             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.48           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 193.85/31.48               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 193.85/31.48             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.48         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 193.85/31.48             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.48           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 193.85/31.48               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 193.85/31.48             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.85/31.48    (4)   ~ (all_52_14 = e0)
% 193.85/31.48    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 193.85/31.48         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 193.85/31.48    (6)  op(e1, e0) = all_22_1
% 193.85/31.48    (7)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 193.85/31.48         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 193.85/31.48    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.85/31.48         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.85/31.48    (9)  op(e1, e2) = e1
% 193.85/31.48    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 193.85/31.48          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 193.85/31.48    (11)   ~ (e3 = e2)
% 193.85/31.48    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.48            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.48    (13)  op(e3, e2) = all_52_4
% 193.85/31.48    (14)  all_56_7 = e1
% 193.85/31.48    (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.85/31.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.85/31.48    (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.85/31.48          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.85/31.48    (17)   ~ (all_52_4 = e2)
% 193.85/31.48    (18)  op(e2, e0) = all_52_13
% 193.85/31.48    (19)  op(e1, e0) = all_52_14
% 193.85/31.48    (20)  op(e1, e0) = e2
% 193.85/31.48    (21)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 193.85/31.48          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 193.85/31.48    (22)   ~ (all_52_2 = e2)
% 193.85/31.48    (23)  op(e3, e1) = e3
% 193.85/31.48    (24)  op(e1, e1) = e0
% 193.85/31.48    (25)  op(e3, e0) = e1
% 193.85/31.48    (26)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 193.85/31.48          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 193.85/31.48    (27)  op(e3, e3) = e2
% 193.85/31.48    (28)  all_56_10 = e0
% 193.85/31.48    (29)   ~ (e1 = e0)
% 193.85/31.48    (30)  all_56_2 = e1
% 193.85/31.48    (31)  all_56_6 = e3
% 193.85/31.48    (32)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 193.85/31.48          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 193.85/31.48    (33)  op(e0, e2) = e2
% 193.85/31.48    (34)   ~ (e2 = e1)
% 193.85/31.48    (35)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 193.85/31.48          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 193.85/31.48    (36)  op(e2, e1) = all_52_9
% 193.85/31.48    (37)  all_56_12 = e0
% 193.85/31.48    (38)  op(e0, e0) = e3
% 193.85/31.48    (39)   ~ (all_52_9 = all_52_13)
% 193.85/31.48    (40)  ( ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 & op(e1, e0) =
% 193.85/31.48            all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~ (all_38_1 = e2) & op(e1,
% 193.85/31.48              e0) = all_38_1 & $i(all_38_1))
% 193.85/31.48    (41)   ~ (e3 = e1)
% 193.85/31.48    (42)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 193.85/31.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 193.85/31.48    (43)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 193.85/31.48          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 193.85/31.48    (44)   ~ (e2 = e0)
% 193.85/31.48    (45)  op(e2, e1) = e2
% 193.85/31.48    (46)   ~ (e3 = e0)
% 193.85/31.48  
% 193.85/31.48  Begin of proof
% 193.85/31.48  | 
% 193.85/31.48  | BETA: splitting (3) gives:
% 193.85/31.48  | 
% 193.85/31.48  | Case 1:
% 193.85/31.48  | | 
% 193.85/31.48  | |   (47)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.85/31.48  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.85/31.48  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.85/31.48  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 193.85/31.48  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.85/31.48  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 193.85/31.48  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.85/31.48  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 193.85/31.48  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.85/31.48  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 193.85/31.48  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 193.85/31.48  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 193.85/31.48  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 193.85/31.48  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 193.85/31.48  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.48  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.48  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.48  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 193.85/31.48  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.85/31.48  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.85/31.48  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.48  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.85/31.48  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 193.85/31.48  | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0,
% 193.85/31.48  | |             e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 193.85/31.48  | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.85/31.48  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 193.85/31.48  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.48  | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15
% 193.85/31.48  | |           = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0
% 193.85/31.48  | |           & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 193.85/31.48  | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.85/31.48  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.48  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.85/31.48  | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 193.85/31.48  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 193.85/31.48  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.85/31.48  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.48  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.85/31.48  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 193.85/31.48  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.85/31.48  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 193.85/31.48  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.85/31.48  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 193.85/31.48  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.85/31.48  | |               $i(all_57_5))))
% 193.85/31.48  | | 
% 193.85/31.48  | | BETA: splitting (47) gives:
% 193.85/31.48  | | 
% 193.85/31.48  | | Case 1:
% 193.85/31.48  | | | 
% 193.85/31.48  | | |   (48)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 193.85/31.48  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.85/31.48  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.85/31.48  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 193.85/31.48  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.85/31.48  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 193.85/31.48  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 193.85/31.48  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 193.85/31.48  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.85/31.48  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 193.85/31.48  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.85/31.48  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 193.85/31.48  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 193.85/31.48  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.85/31.48  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.85/31.48  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 193.85/31.48  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.85/31.48  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 193.85/31.48  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.85/31.48  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 193.85/31.48  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.85/31.48  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 193.85/31.48  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 193.85/31.48  | | |               $i(all_57_2))))
% 193.85/31.48  | | | 
% 193.85/31.48  | | | BETA: splitting (48) gives:
% 193.85/31.48  | | | 
% 193.85/31.48  | | | Case 1:
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | |   (49)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 193.85/31.48  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 193.85/31.48  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 193.85/31.48  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.85/31.48  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 193.85/31.48  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.85/31.48  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 193.85/31.48  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 193.85/31.48  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.48  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.85/31.48  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.85/31.48  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | | REF_CLOSE: (1), (12), (13), (17), (49) are inconsistent by sub-proof
% 193.85/31.48  | | | |            #195.
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | Case 2:
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | |   (50)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 193.85/31.48  | | | |           e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 193.85/31.48  | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 193.85/31.48  | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.48  | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.48  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 193.85/31.48  | | | |         | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 193.85/31.48  | | | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 193.85/31.48  | | | |           e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.85/31.48  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.48  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.85/31.48  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | | BETA: splitting (50) gives:
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | | Case 1:
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | |   (51)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 193.85/31.48  | | | | |         e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 193.85/31.48  | | | | |         all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 193.85/31.48  | | | | |             e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.48  | | | | |             $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.48  | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | ALPHA: (51) implies:
% 193.85/31.48  | | | | |   (52)  op(e3, e3) = e1
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | REF_CLOSE: (5), (8), (11), (12), (29), (30), (31), (34), (44), (46),
% 193.85/31.48  | | | | |            (52) are inconsistent by sub-proof #1850.
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | Case 2:
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | |   (53)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 193.85/31.48  | | | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 193.85/31.48  | | | | |         e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.85/31.48  | | | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.48  | | | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.85/31.48  | | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | ALPHA: (53) implies:
% 193.85/31.48  | | | | |   (54)  op(e3, e1) = e1
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | REF_CLOSE: (12), (23), (41), (54) are inconsistent by sub-proof #1624.
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | End of split
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | End of split
% 193.85/31.48  | | | 
% 193.85/31.48  | | Case 2:
% 193.85/31.48  | | | 
% 193.85/31.48  | | |   (55)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 193.85/31.48  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.85/31.48  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.48  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 193.85/31.48  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.85/31.48  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 193.85/31.48  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 193.85/31.48  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 193.85/31.48  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 193.85/31.48  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 193.85/31.48  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.85/31.48  | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2
% 193.85/31.48  | | |           & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1,
% 193.85/31.48  | | |             e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.85/31.48  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.85/31.48  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 193.85/31.48  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.85/31.48  | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 193.85/31.48  | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.85/31.48  | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 193.85/31.48  | | |               = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.85/31.48  | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 193.85/31.48  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.85/31.48  | | |               $i(all_57_5))))
% 193.85/31.48  | | | 
% 193.85/31.48  | | | BETA: splitting (55) gives:
% 193.85/31.48  | | | 
% 193.85/31.48  | | | Case 1:
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | |   (56)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 193.85/31.48  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 193.85/31.48  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 193.85/31.48  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.48  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 193.85/31.48  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.48  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 193.85/31.48  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.85/31.48  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 193.85/31.48  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 193.85/31.48  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.85/31.48  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.85/31.48  | | | |               all_57_1 & $i(all_57_1))))
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | | BETA: splitting (56) gives:
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | | Case 1:
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | |   (57)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 193.85/31.48  | | | | |         e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 193.85/31.48  | | | | |         all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 193.85/31.48  | | | | |             e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.48  | | | | |             $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 193.85/31.48  | | | | |             ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.48  | | | | |             $i(all_57_13)))
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | ALPHA: (57) implies:
% 193.85/31.48  | | | | |   (58)  op(e3, e3) = e0
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | REF_CLOSE: (12), (27), (44), (58) are inconsistent by sub-proof #833.
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | Case 2:
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | |   (59)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 193.85/31.48  | | | | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) =
% 193.85/31.48  | | | | |         e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.85/31.48  | | | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.48  | | | | |         ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.85/31.48  | | | | |             op(e1, e3) = all_57_1 & $i(all_57_1)))
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | ALPHA: (59) implies:
% 193.85/31.48  | | | | |   (60)  op(e3, e0) = e0
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | GROUND_INST: instantiating (12) with e1, e0, e0, e3, simplifying with
% 193.85/31.48  | | | | |              (25), (60) gives:
% 193.85/31.48  | | | | |   (61)  e1 = e0
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | COMBINE_EQS: (14), (61) imply:
% 193.85/31.48  | | | | |   (62)  all_56_7 = e0
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | REF_CLOSE: (2), (11), (12), (21), (22), (24), (29), (34), (41), (42),
% 193.85/31.48  | | | | |            (43), (44), (46), (62) are inconsistent by sub-proof #750.
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | End of split
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | Case 2:
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | |   (63)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 193.85/31.48  | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 193.85/31.48  | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.85/31.48  | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.48  | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.48  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 193.85/31.48  | | | |         | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 193.85/31.48  | | | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 193.85/31.48  | | | |           e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.48  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.48  | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.85/31.48  | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | | BETA: splitting (63) gives:
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | | Case 1:
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | |   (64)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 193.85/31.48  | | | | |         e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 193.85/31.48  | | | | |         all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.85/31.48  | | | | |             e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.48  | | | | |             $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.48  | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | ALPHA: (64) implies:
% 193.85/31.48  | | | | |   (65)  op(e2, e2) = e1
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | REF_CLOSE: (7), (11), (12), (15), (16), (24), (26), (28), (29), (30),
% 193.85/31.48  | | | | |            (32), (34), (35), (41), (44), (46), (65) are inconsistent
% 193.85/31.48  | | | | |            by sub-proof #280.
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | Case 2:
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | |   (66)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 193.85/31.48  | | | | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 193.85/31.48  | | | | |         e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.48  | | | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.48  | | | | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.85/31.48  | | | | |             op(e0, e2) = all_57_5 & $i(all_57_5)))
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | ALPHA: (66) implies:
% 193.85/31.48  | | | | |   (67)  op(e2, e1) = e1
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | | REF_CLOSE: (12), (34), (45), (67) are inconsistent by sub-proof #1441.
% 193.85/31.48  | | | | | 
% 193.85/31.48  | | | | End of split
% 193.85/31.48  | | | | 
% 193.85/31.48  | | | End of split
% 193.85/31.48  | | | 
% 193.85/31.48  | | End of split
% 193.85/31.48  | | 
% 193.85/31.48  | Case 2:
% 193.85/31.48  | | 
% 193.85/31.49  | |   (68)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.85/31.49  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.85/31.49  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.49  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.49  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.85/31.49  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 193.85/31.49  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 193.85/31.49  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.85/31.49  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 193.85/31.49  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 193.85/31.49  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.85/31.49  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 193.85/31.49  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.85/31.49  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 193.85/31.49  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.49  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.49  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.85/31.49  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 193.85/31.49  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.85/31.49  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.85/31.49  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.49  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 193.85/31.49  | |                 e1) = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 193.85/31.49  | |             e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 193.85/31.49  | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 193.85/31.49  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.85/31.49  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 193.85/31.49  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 193.85/31.49  | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 193.85/31.49  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 193.85/31.49  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 193.85/31.49  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.85/31.49  | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 193.85/31.49  | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.85/31.49  | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 193.85/31.49  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.49  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.85/31.49  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 193.85/31.49  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.85/31.49  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 193.85/31.49  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.85/31.49  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 193.85/31.49  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.85/31.49  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 193.85/31.49  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.49  | |               $i(all_57_13))))
% 193.85/31.49  | | 
% 193.85/31.49  | | BETA: splitting (68) gives:
% 193.85/31.49  | | 
% 193.85/31.49  | | Case 1:
% 193.85/31.49  | | | 
% 193.85/31.49  | | |   (69)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 193.85/31.49  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.85/31.49  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.49  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.49  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.85/31.49  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 193.85/31.49  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 193.85/31.49  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.85/31.49  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.49  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.49  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.49  | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 193.85/31.49  | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 193.85/31.49  | | |           e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.49  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.85/31.49  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 193.85/31.49  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.85/31.49  | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 193.85/31.49  | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.85/31.49  | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10
% 193.85/31.49  | | |               = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.85/31.49  | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 193.85/31.49  | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.49  | | |               $i(all_57_7))))
% 193.85/31.49  | | | 
% 193.85/31.49  | | | BETA: splitting (69) gives:
% 193.85/31.49  | | | 
% 193.85/31.49  | | | Case 1:
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | |   (70)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 193.85/31.49  | | | |           e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 193.85/31.49  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 193.85/31.49  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.49  | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 193.85/31.49  | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.49  | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 193.85/31.49  | | | |           all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.85/31.49  | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.85/31.49  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 193.85/31.49  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.85/31.49  | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.85/31.49  | | | |               all_57_4 & $i(all_57_4))))
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | | BETA: splitting (70) gives:
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | | Case 1:
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | |   (71)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 193.85/31.49  | | | | |         e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 193.85/31.49  | | | | |         all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 193.85/31.49  | | | | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.49  | | | | |             $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 193.85/31.49  | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.49  | | | | |             $i(all_57_13)))
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | ALPHA: (71) implies:
% 193.85/31.49  | | | | |   (72)  op(e2, e0) = e2
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | REF_CLOSE: (12), (18), (36), (39), (45), (72) are inconsistent by
% 193.85/31.49  | | | | |            sub-proof #1887.
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | Case 2:
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | |   (73)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 193.85/31.49  | | | | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) =
% 193.85/31.49  | | | | |         e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.49  | | | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.49  | | | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.49  | | | | |             op(e1, e2) = all_57_4 & $i(all_57_4)))
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | ALPHA: (73) implies:
% 193.85/31.49  | | | | |   (74)  op(e0, e2) = e0
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | REF_CLOSE: (12), (33), (44), (74) are inconsistent by sub-proof #423.
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | End of split
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | Case 2:
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | |   (75)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 193.85/31.49  | | | |           e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 193.85/31.49  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 193.85/31.49  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.49  | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.49  | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.49  | | | |               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 193.85/31.49  | | | |           all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.85/31.49  | | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.85/31.49  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.85/31.49  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.85/31.49  | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.85/31.49  | | | |               all_57_7 & $i(all_57_7))))
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | | BETA: splitting (75) gives:
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | | Case 1:
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | |   (76)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 193.85/31.49  | | | | |         e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 193.85/31.49  | | | | |         all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 193.85/31.49  | | | | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.49  | | | | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.49  | | | | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.49  | | | | |             $i(all_57_11)))
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | ALPHA: (76) implies:
% 193.85/31.49  | | | | |   (77)  op(e1, e0) = e1
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | BETA: splitting (40) gives:
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | Case 1:
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | |   (78)   ~ (all_38_0 = e3) & op(all_38_1, e1) = all_38_0 & op(e1,
% 193.85/31.49  | | | | | |           e0) = all_38_1 & $i(all_38_0) & $i(all_38_1)
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | ALPHA: (78) implies:
% 193.85/31.49  | | | | | |   (79)  op(e1, e0) = all_38_1
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | GROUND_INST: instantiating (12) with e2, all_22_1, e0, e1,
% 193.85/31.49  | | | | | |              simplifying with (6), (20) gives:
% 193.85/31.49  | | | | | |   (80)  all_22_1 = e2
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | GROUND_INST: instantiating (12) with all_22_1, all_38_1, e0, e1,
% 193.85/31.49  | | | | | |              simplifying with (6), (79) gives:
% 193.85/31.49  | | | | | |   (81)  all_38_1 = all_22_1
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | GROUND_INST: instantiating (12) with e1, all_38_1, e0, e1,
% 193.85/31.49  | | | | | |              simplifying with (77), (79) gives:
% 193.85/31.49  | | | | | |   (82)  all_38_1 = e1
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | COMBINE_EQS: (81), (82) imply:
% 193.85/31.49  | | | | | |   (83)  all_22_1 = e1
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | SIMP: (83) implies:
% 193.85/31.49  | | | | | |   (84)  all_22_1 = e1
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | COMBINE_EQS: (80), (84) imply:
% 193.85/31.49  | | | | | |   (85)  e2 = e1
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | SIMP: (85) implies:
% 193.85/31.49  | | | | | |   (86)  e2 = e1
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | REDUCE: (34), (86) imply:
% 193.85/31.49  | | | | | |   (87)  $false
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | CLOSE: (87) is inconsistent.
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | Case 2:
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | |   (88)   ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 & $i(all_38_1)
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | | REF_CLOSE: (12), (20), (88) are inconsistent by sub-proof #768.
% 193.85/31.49  | | | | | | 
% 193.85/31.49  | | | | | End of split
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | Case 2:
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | |   (89)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 193.85/31.49  | | | | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) =
% 193.85/31.49  | | | | |         e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.85/31.49  | | | | |             (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.49  | | | | |         ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.85/31.49  | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7)))
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | ALPHA: (89) implies:
% 193.85/31.49  | | | | |   (90)  op(e1, e0) = e0
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | REF_CLOSE: (4), (12), (19), (90) are inconsistent by sub-proof #1884.
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | End of split
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | End of split
% 193.85/31.49  | | | 
% 193.85/31.49  | | Case 2:
% 193.85/31.49  | | | 
% 193.85/31.49  | | |   (91)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 193.85/31.49  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.85/31.49  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.49  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.85/31.49  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.85/31.49  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 193.85/31.49  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.49  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.49  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.49  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.85/31.49  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.85/31.49  | | |               all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) =
% 193.85/31.49  | | |           e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.85/31.49  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 193.85/31.49  | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.85/31.49  | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 193.85/31.49  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 193.85/31.49  | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 193.85/31.49  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.85/31.49  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 193.85/31.49  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.85/31.49  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 193.85/31.49  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.49  | | |               $i(all_57_13))))
% 193.85/31.49  | | | 
% 193.85/31.49  | | | BETA: splitting (91) gives:
% 193.85/31.49  | | | 
% 193.85/31.49  | | | Case 1:
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | |   (92)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 193.85/31.49  | | | |                 e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 193.85/31.49  | | | |               & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 193.85/31.49  | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 193.85/31.49  | | | |           & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.85/31.49  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2
% 193.85/31.49  | | | |           & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.49  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.49  | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.49  | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 193.85/31.49  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.85/31.49  | | | |               all_57_5 & $i(all_57_5))))
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | | BETA: splitting (92) gives:
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | | Case 1:
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | |   (93)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 193.85/31.49  | | | | |               e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 193.85/31.49  | | | | |             & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 193.85/31.49  | | | | |             ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 193.85/31.49  | | | | |         & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.85/31.49  | | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | ALPHA: (93) implies:
% 193.85/31.49  | | | | |   (94)  op(e3, e3) = e3
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | REF_CLOSE: (5), (10), (11), (12), (29), (31), (34), (37), (41), (44),
% 193.85/31.49  | | | | |            (94) are inconsistent by sub-proof #1567.
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | Case 2:
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | |   (95)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3,
% 193.85/31.49  | | | | |               e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3
% 193.85/31.49  | | | | |             & $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | (
% 193.85/31.49  | | | | |             ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 193.85/31.49  | | | | |         & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.85/31.49  | | | | |             op(e0, e2) = all_57_5 & $i(all_57_5)))
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | ALPHA: (95) implies:
% 193.85/31.49  | | | | |   (96)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.49  | | | | |           op(e1, e2) = all_57_4 & $i(all_57_4))
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | | REF_CLOSE: (9), (12), (24), (44), (96) are inconsistent by sub-proof
% 193.85/31.49  | | | | |            #1513.
% 193.85/31.49  | | | | | 
% 193.85/31.49  | | | | End of split
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | Case 2:
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | |   (97)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 193.85/31.49  | | | |                 e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 193.85/31.49  | | | |               & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 193.85/31.49  | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 193.85/31.49  | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 193.85/31.49  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0
% 193.85/31.49  | | | |           & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.49  | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.49  | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 193.85/31.49  | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 193.85/31.49  | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 193.85/31.49  | | | |               = all_57_13 & $i(all_57_13))))
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | | REF_CLOSE: (12), (24), (29), (38), (46), (97) are inconsistent by
% 193.85/31.49  | | | |            sub-proof #652.
% 193.85/31.49  | | | | 
% 193.85/31.49  | | | End of split
% 193.85/31.49  | | | 
% 193.85/31.49  | | End of split
% 193.85/31.49  | | 
% 193.85/31.49  | End of split
% 193.85/31.49  | 
% 193.85/31.49  End of proof
% 193.85/31.49  
% 193.85/31.49  Sub-proof #80 shows that the following formulas are inconsistent:
% 193.85/31.49  ----------------------------------------------------------------
% 193.85/31.49    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.49    (2)  op(e2, e2) = e3
% 193.85/31.49    (3)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 193.85/31.49    (4)  all_56_1 = e0
% 193.85/31.49    (5)   ~ (e1 = e0)
% 193.85/31.49    (6)   ~ (e3 = e1)
% 193.85/31.49  
% 193.85/31.49  Begin of proof
% 193.85/31.49  | 
% 193.85/31.49  | BETA: splitting (3) gives:
% 193.85/31.49  | 
% 193.85/31.49  | Case 1:
% 193.85/31.49  | | 
% 193.85/31.49  | |   (7)  all_56_1 = e1 & op(e3, e2) = e1
% 193.85/31.49  | | 
% 193.85/31.49  | | ALPHA: (7) implies:
% 193.85/31.49  | |   (8)  all_56_1 = e1
% 193.85/31.49  | | 
% 193.85/31.49  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1628.
% 193.85/31.49  | | 
% 193.85/31.49  | Case 2:
% 193.85/31.49  | | 
% 193.85/31.49  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 193.85/31.49  | | 
% 193.85/31.49  | | ALPHA: (9) implies:
% 193.85/31.49  | |   (10)  op(e2, e2) = e1
% 193.85/31.49  | | 
% 193.85/31.49  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1679.
% 193.85/31.49  | | 
% 193.85/31.49  | End of split
% 193.85/31.49  | 
% 193.85/31.49  End of proof
% 193.85/31.49  
% 193.85/31.49  Sub-proof #81 shows that the following formulas are inconsistent:
% 193.85/31.49  ----------------------------------------------------------------
% 193.85/31.49    (1)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 193.85/31.49    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.49    (3)  all_54_10 = all_10_2
% 193.85/31.49    (4)  op(e1, e1) = all_10_2
% 193.85/31.49    (5)  op(e1, e1) = e0
% 193.85/31.49    (6)   ~ (all_10_2 = e0)
% 193.85/31.49    (7)   ~ (all_10_2 = e2)
% 193.85/31.49  
% 193.85/31.49  Begin of proof
% 193.85/31.49  | 
% 193.85/31.49  | BETA: splitting (1) gives:
% 193.85/31.49  | 
% 193.85/31.49  | Case 1:
% 193.85/31.49  | | 
% 193.85/31.49  | |   (8)  all_54_10 = e2
% 193.85/31.49  | | 
% 193.85/31.49  | | REF_CLOSE: (3), (7), (8) are inconsistent by sub-proof #982.
% 193.85/31.49  | | 
% 193.85/31.49  | Case 2:
% 193.85/31.49  | | 
% 193.85/31.49  | |   (9)  all_54_10 = e1 | all_54_10 = e0
% 193.85/31.49  | | 
% 193.85/31.49  | | BETA: splitting (9) gives:
% 193.85/31.49  | | 
% 193.85/31.49  | | Case 1:
% 193.85/31.49  | | | 
% 193.85/31.49  | | |   (10)  all_54_10 = e1
% 193.85/31.49  | | | 
% 193.85/31.49  | | | COMBINE_EQS: (3), (10) imply:
% 193.85/31.49  | | |   (11)  all_10_2 = e1
% 193.85/31.49  | | | 
% 193.85/31.49  | | | SIMP: (11) implies:
% 193.85/31.49  | | |   (12)  all_10_2 = e1
% 193.85/31.49  | | | 
% 193.85/31.49  | | | REDUCE: (6), (12) imply:
% 193.85/31.49  | | |   (13)   ~ (e1 = e0)
% 193.85/31.49  | | | 
% 193.85/31.49  | | | REDUCE: (4), (12) imply:
% 193.85/31.49  | | |   (14)  op(e1, e1) = e1
% 193.85/31.49  | | | 
% 193.85/31.49  | | | REF_CLOSE: (2), (5), (13), (14) are inconsistent by sub-proof #1959.
% 193.85/31.49  | | | 
% 193.85/31.49  | | Case 2:
% 193.85/31.49  | | | 
% 193.85/31.49  | | |   (15)  all_54_10 = e0
% 193.85/31.49  | | | 
% 193.85/31.49  | | | REF_CLOSE: (3), (6), (15) are inconsistent by sub-proof #932.
% 193.85/31.49  | | | 
% 193.85/31.49  | | End of split
% 193.85/31.49  | | 
% 193.85/31.49  | End of split
% 193.85/31.49  | 
% 193.85/31.49  End of proof
% 193.85/31.49  
% 193.85/31.49  Sub-proof #82 shows that the following formulas are inconsistent:
% 193.85/31.49  ----------------------------------------------------------------
% 193.85/31.49    (1)   ~ (e3 = e2)
% 193.85/31.49    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.49    (3)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.85/31.49           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.85/31.49           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.85/31.49                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 193.85/31.49               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.49               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 193.85/31.49           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 193.85/31.49             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.49               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.49           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.85/31.49               = all_57_4 & $i(all_57_4))))
% 193.85/31.49    (4)  op(e2, e2) = e3
% 193.85/31.49    (5)  op(e0, e0) = e3
% 193.85/31.49    (6)   ~ (e3 = e0)
% 193.85/31.49  
% 193.85/31.49  Begin of proof
% 193.85/31.49  | 
% 193.85/31.49  | BETA: splitting (3) gives:
% 193.85/31.49  | 
% 193.85/31.49  | Case 1:
% 193.85/31.49  | | 
% 193.85/31.49  | |   (7)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.85/31.49  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.85/31.49  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.85/31.49  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 193.85/31.49  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 193.85/31.49  | |            all_57_13 & $i(all_57_13)))
% 193.85/31.49  | | 
% 193.85/31.49  | | ALPHA: (7) implies:
% 193.85/31.49  | |   (8)  op(e2, e2) = e0
% 193.85/31.49  | | 
% 193.85/31.49  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #202.
% 193.85/31.49  | | 
% 193.85/31.49  | Case 2:
% 193.85/31.49  | | 
% 193.85/31.49  | |   (9)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 193.85/31.49  | |        all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.85/31.49  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 193.85/31.49  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.85/31.49  | |            & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 193.85/31.49  | |            & $i(all_57_4)))
% 193.85/31.49  | | 
% 193.85/31.49  | | ALPHA: (9) implies:
% 193.85/31.49  | |   (10)  op(e0, e0) = e2
% 193.85/31.49  | | 
% 193.85/31.49  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1692.
% 193.85/31.49  | | 
% 193.85/31.49  | End of split
% 193.85/31.49  | 
% 193.85/31.49  End of proof
% 193.85/31.49  
% 193.85/31.49  Sub-proof #83 shows that the following formulas are inconsistent:
% 193.85/31.49  ----------------------------------------------------------------
% 193.85/31.49    (1)   ~ (all_52_4 = e3)
% 193.85/31.49    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.85/31.49           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.85/31.49           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 193.85/31.49                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.85/31.49               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.85/31.49               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.85/31.49           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 193.85/31.49           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.49               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.85/31.49           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.85/31.49               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 193.85/31.49           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 193.85/31.49           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 193.85/31.49               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.49               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.49               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.49         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 193.85/31.49           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.85/31.49           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 193.85/31.49               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.85/31.49             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.85/31.49         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 193.85/31.49           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.85/31.49           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 193.85/31.49                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 193.85/31.49               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 193.85/31.49               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 193.85/31.49           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 193.85/31.49           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.85/31.49             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.49           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.85/31.49               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 193.85/31.49           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 193.85/31.49           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 193.85/31.49               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.49               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.49               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.49         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 193.85/31.49           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.85/31.49           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 193.85/31.49               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.85/31.49             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.85/31.49         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.85/31.49           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.85/31.49           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.85/31.49                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 193.85/31.49               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.49               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 193.85/31.49           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 193.85/31.49             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.49               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.49           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.85/31.49               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 193.85/31.49           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.85/31.49           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 193.85/31.49               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.49               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.49               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.85/31.49         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 193.85/31.49           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.85/31.49           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 193.85/31.49               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 193.85/31.49             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.85/31.49         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.85/31.49             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.49           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.85/31.49               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.85/31.49             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.85/31.49         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.85/31.49             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.49           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.85/31.49               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.85/31.49             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.85/31.50         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.85/31.50             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.50           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 193.85/31.50               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 193.85/31.50             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.50         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 193.85/31.50             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.50           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 193.85/31.50               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 193.85/31.50             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.85/31.50    (3)  op(e3, e0) = e3
% 193.85/31.50    (4)  all_54_2 = all_52_8
% 193.85/31.50    (5)   ~ (e3 = e2)
% 193.85/31.50    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.50    (7)  op(e3, e2) = all_52_4
% 193.85/31.50    (8)  op(e2, e2) = e3
% 193.85/31.50    (9)   ~ (all_57_15 = e3)
% 193.85/31.50    (10)   ~ (all_52_3 = all_52_7)
% 193.85/31.50    (11)  op(e1, e2) = e2
% 193.85/31.50    (12)   ~ (all_52_4 = e2)
% 193.85/31.50    (13)   ~ (all_52_8 = e3)
% 193.85/31.50    (14)  op(e0, e3) = all_52_3
% 193.85/31.50    (15)  op(e0, e3) = e0
% 193.85/31.50    (16)  op(e0, e0) = all_57_15
% 193.85/31.50    (17)   ~ (all_52_8 = e2)
% 193.85/31.50    (18)  op(e3, e3) = e2
% 193.85/31.50    (19)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 193.85/31.50    (20)   ~ (e2 = e1)
% 193.85/31.50    (21)  op(e0, e0) = e2
% 193.85/31.50    (22)   ~ (e3 = e1)
% 193.85/31.50    (23)  op(e0, e2) = all_52_7
% 193.85/31.50    (24)  op(e1, e1) = e3
% 193.85/31.50    (25)   ~ (e2 = e0)
% 193.85/31.50    (26)   ~ (e3 = e0)
% 193.85/31.50  
% 193.85/31.50  Begin of proof
% 193.85/31.50  | 
% 193.85/31.50  | BETA: splitting (2) gives:
% 193.85/31.50  | 
% 193.85/31.50  | Case 1:
% 193.85/31.50  | | 
% 193.85/31.50  | |   (27)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.85/31.50  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.85/31.50  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.85/31.50  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 193.85/31.50  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.85/31.50  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 193.85/31.50  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 193.85/31.50  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 193.85/31.50  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.85/31.50  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 193.85/31.50  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 193.85/31.50  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 193.85/31.50  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 193.85/31.50  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 193.85/31.50  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.50  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.50  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.50  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 193.85/31.50  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 193.85/31.50  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 193.85/31.50  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.50  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.85/31.50  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 193.85/31.50  | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0,
% 193.85/31.50  | |             e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 193.85/31.50  | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.85/31.50  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 193.85/31.50  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.50  | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15
% 193.85/31.50  | |           = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0
% 193.85/31.50  | |           & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 193.85/31.50  | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.85/31.50  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.50  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 193.85/31.50  | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 193.85/31.50  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 193.85/31.50  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.85/31.50  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.50  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.85/31.50  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 193.85/31.50  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.85/31.50  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 193.85/31.50  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.85/31.50  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 193.85/31.50  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.85/31.50  | |               $i(all_57_5))))
% 193.85/31.50  | | 
% 193.85/31.50  | | BETA: splitting (27) gives:
% 193.85/31.50  | | 
% 193.85/31.50  | | Case 1:
% 193.85/31.50  | | | 
% 193.85/31.50  | | |   (28)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 193.85/31.50  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.85/31.50  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.85/31.50  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 193.85/31.50  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.85/31.50  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 193.85/31.50  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 193.85/31.50  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 193.85/31.50  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 193.85/31.50  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 193.85/31.50  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 193.85/31.50  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 193.85/31.50  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 193.85/31.50  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.85/31.50  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 193.85/31.50  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 193.85/31.50  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.85/31.50  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 193.85/31.50  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 193.85/31.50  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 193.85/31.50  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 193.85/31.50  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 193.85/31.50  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 193.85/31.50  | | |               $i(all_57_2))))
% 193.85/31.50  | | | 
% 193.85/31.50  | | | REF_CLOSE: (1), (6), (7), (9), (12), (15), (16), (18), (20), (28) are
% 193.85/31.50  | | |            inconsistent by sub-proof #102.
% 193.85/31.50  | | | 
% 193.85/31.50  | | Case 2:
% 193.85/31.50  | | | 
% 193.85/31.50  | | |   (29)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 193.85/31.50  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.85/31.50  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.50  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 193.85/31.50  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.85/31.50  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 193.85/31.50  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 193.85/31.50  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 193.85/31.50  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 193.85/31.50  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 193.85/31.50  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.85/31.50  | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2
% 193.85/31.50  | | |           & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1,
% 193.85/31.50  | | |             e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 193.85/31.50  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.85/31.50  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 193.85/31.50  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 193.85/31.50  | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 193.85/31.50  | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 193.85/31.50  | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 193.85/31.50  | | |               = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 193.85/31.50  | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 193.85/31.50  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.85/31.50  | | |               $i(all_57_5))))
% 193.85/31.50  | | | 
% 193.85/31.50  | | | BETA: splitting (29) gives:
% 193.85/31.50  | | | 
% 193.85/31.50  | | | Case 1:
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | |   (30)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 193.85/31.50  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 193.85/31.50  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 193.85/31.50  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.50  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 193.85/31.50  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.50  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 193.85/31.50  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 193.85/31.50  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 193.85/31.50  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 193.85/31.50  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 193.85/31.50  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.85/31.50  | | | |               all_57_1 & $i(all_57_1))))
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | | REF_CLOSE: (3), (6), (18), (25), (26), (30) are inconsistent by
% 193.85/31.50  | | | |            sub-proof #809.
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | Case 2:
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | |   (31)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 193.85/31.50  | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 193.85/31.50  | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 193.85/31.50  | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.50  | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.50  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 193.85/31.50  | | | |         | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 193.85/31.50  | | | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 193.85/31.50  | | | |           e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.50  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.50  | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 193.85/31.50  | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | | REF_CLOSE: (6), (8), (11), (20), (22), (31) are inconsistent by
% 193.85/31.50  | | | |            sub-proof #158.
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | End of split
% 193.85/31.50  | | | 
% 193.85/31.50  | | End of split
% 193.85/31.50  | | 
% 193.85/31.50  | Case 2:
% 193.85/31.50  | | 
% 193.85/31.50  | |   (32)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.85/31.50  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.85/31.50  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.50  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.50  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.85/31.50  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 193.85/31.50  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 193.85/31.50  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.85/31.50  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 193.85/31.50  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 193.85/31.50  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.85/31.50  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 193.85/31.50  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.85/31.50  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 193.85/31.50  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.50  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.50  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.85/31.50  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 193.85/31.50  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 193.85/31.50  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 193.85/31.50  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.50  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 193.85/31.50  | |                 e1) = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 193.85/31.50  | |             e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 193.85/31.50  | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 193.85/31.50  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 193.85/31.50  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 193.85/31.50  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 193.85/31.50  | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 193.85/31.50  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 193.85/31.50  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 193.85/31.50  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 193.85/31.50  | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 193.85/31.50  | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.85/31.50  | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 193.85/31.50  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.50  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 193.85/31.50  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 193.85/31.50  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 193.85/31.50  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 193.85/31.50  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.85/31.50  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 193.85/31.50  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.85/31.50  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 193.85/31.50  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.50  | |               $i(all_57_13))))
% 193.85/31.50  | | 
% 193.85/31.50  | | BETA: splitting (32) gives:
% 193.85/31.50  | | 
% 193.85/31.50  | | Case 1:
% 193.85/31.50  | | | 
% 193.85/31.50  | | |   (33)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 193.85/31.50  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.85/31.50  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.50  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.50  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 193.85/31.50  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 193.85/31.50  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 193.85/31.50  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 193.85/31.50  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.50  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.50  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.50  | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 193.85/31.50  | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 193.85/31.50  | | |           e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 193.85/31.50  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.85/31.50  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 193.85/31.50  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.85/31.50  | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 193.85/31.50  | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.85/31.50  | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10
% 193.85/31.50  | | |               = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 193.85/31.50  | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 193.85/31.50  | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.50  | | |               $i(all_57_7))))
% 193.85/31.50  | | | 
% 193.85/31.50  | | | BETA: splitting (33) gives:
% 193.85/31.50  | | | 
% 193.85/31.50  | | | Case 1:
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | |   (34)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 193.85/31.50  | | | |           e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 193.85/31.50  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 193.85/31.50  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.50  | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 193.85/31.50  | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.50  | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 193.85/31.50  | | | |           all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 193.85/31.50  | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 193.85/31.50  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 193.85/31.50  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 193.85/31.50  | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 193.85/31.50  | | | |               all_57_4 & $i(all_57_4))))
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | | REF_CLOSE: (3), (4), (6), (10), (13), (14), (15), (17), (18), (19),
% 193.85/31.50  | | | |            (23), (25), (34) are inconsistent by sub-proof #88.
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | Case 2:
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | |   (35)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 193.85/31.50  | | | |           e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 193.85/31.50  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 193.85/31.50  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.50  | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.50  | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 193.85/31.50  | | | |               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 193.85/31.50  | | | |           all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 193.85/31.50  | | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.85/31.50  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.85/31.50  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 193.85/31.50  | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.85/31.50  | | | |               all_57_7 & $i(all_57_7))))
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | | REF_CLOSE: (3), (4), (6), (13), (17), (18), (19), (20), (21), (25), (35)
% 193.85/31.50  | | | |            are inconsistent by sub-proof #692.
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | End of split
% 193.85/31.50  | | | 
% 193.85/31.50  | | Case 2:
% 193.85/31.50  | | | 
% 193.85/31.50  | | |   (36)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 193.85/31.50  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.85/31.50  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.50  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.85/31.50  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.85/31.50  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 193.85/31.50  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.50  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.50  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.50  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.85/31.50  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.85/31.50  | | |               all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) =
% 193.85/31.50  | | |           e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 193.85/31.50  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 193.85/31.50  | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 193.85/31.50  | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 193.85/31.50  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 193.85/31.50  | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 193.85/31.50  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 193.85/31.50  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 193.85/31.50  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 193.85/31.50  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 193.85/31.50  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.50  | | |               $i(all_57_13))))
% 193.85/31.50  | | | 
% 193.85/31.50  | | | BETA: splitting (36) gives:
% 193.85/31.50  | | | 
% 193.85/31.50  | | | Case 1:
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | |   (37)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 193.85/31.50  | | | |                 e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 193.85/31.50  | | | |               & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 193.85/31.50  | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 193.85/31.50  | | | |           & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 193.85/31.50  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2
% 193.85/31.50  | | | |           & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.50  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.50  | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 193.85/31.50  | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 193.85/31.50  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 193.85/31.50  | | | |               all_57_5 & $i(all_57_5))))
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | | REF_CLOSE: (5), (6), (8), (9), (15), (16), (37) are inconsistent by
% 193.85/31.50  | | | |            sub-proof #213.
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | Case 2:
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | |   (38)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 193.85/31.50  | | | |                 e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 193.85/31.50  | | | |               & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 193.85/31.50  | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 193.85/31.50  | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 193.85/31.50  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0
% 193.85/31.50  | | | |           & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 193.85/31.50  | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.50  | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 193.85/31.50  | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 193.85/31.50  | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 193.85/31.50  | | | |               = all_57_13 & $i(all_57_13))))
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | | REF_CLOSE: (3), (4), (6), (13), (17), (18), (19), (22), (24), (25), (38)
% 193.85/31.50  | | | |            are inconsistent by sub-proof #730.
% 193.85/31.50  | | | | 
% 193.85/31.50  | | | End of split
% 193.85/31.50  | | | 
% 193.85/31.50  | | End of split
% 193.85/31.50  | | 
% 193.85/31.50  | End of split
% 193.85/31.50  | 
% 193.85/31.50  End of proof
% 193.85/31.50  
% 193.85/31.50  Sub-proof #84 shows that the following formulas are inconsistent:
% 193.85/31.50  ----------------------------------------------------------------
% 193.85/31.50    (1)   ~ (e3 = e2)
% 193.85/31.50    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.50    (3)  op(e2, e2) = e3
% 193.85/31.50    (4)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.85/31.50             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.50           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.85/31.50               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.85/31.50             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.85/31.50         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.85/31.50             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.50           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.85/31.50               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.85/31.50             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 193.85/31.50    (5)  op(e3, e3) = e2
% 193.85/31.50  
% 193.85/31.50  Begin of proof
% 193.85/31.50  | 
% 193.85/31.50  | BETA: splitting (4) gives:
% 193.85/31.50  | 
% 193.85/31.50  | Case 1:
% 193.85/31.50  | | 
% 193.85/31.50  | |   (6)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 193.85/31.50  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 193.85/31.50  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.50  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.85/31.50  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 193.85/31.50  | |              e3) = all_57_2 & $i(all_57_2)))
% 193.85/31.50  | | 
% 193.85/31.50  | | ALPHA: (6) implies:
% 193.85/31.50  | |   (7)  op(e3, e3) = e3
% 193.85/31.50  | | 
% 193.85/31.50  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1957.
% 193.85/31.50  | | 
% 193.85/31.50  | Case 2:
% 193.85/31.50  | | 
% 193.85/31.50  | |   (8)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 193.85/31.50  | |            e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 193.85/31.50  | |            $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 193.85/31.50  | |            (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 193.85/31.50  | |        ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 193.85/31.50  | |              e2) = all_57_5 & $i(all_57_5)))
% 193.85/31.50  | | 
% 193.85/31.50  | | ALPHA: (8) implies:
% 193.85/31.50  | |   (9)  op(e2, e2) = e2
% 193.85/31.50  | | 
% 193.85/31.50  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #214.
% 193.85/31.50  | | 
% 193.85/31.50  | End of split
% 193.85/31.50  | 
% 193.85/31.50  End of proof
% 193.85/31.50  
% 193.85/31.50  Sub-proof #85 shows that the following formulas are inconsistent:
% 193.85/31.50  ----------------------------------------------------------------
% 193.85/31.50    (1)   ~ (all_52_4 = e3)
% 193.85/31.50    (2)  op(e1, e3) = all_52_2
% 193.85/31.51    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 193.85/31.51           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 193.85/31.51           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 193.85/31.51                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 193.85/31.51               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 193.85/31.51               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 193.85/31.51           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 193.85/31.51           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 193.85/31.51               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 193.85/31.51           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 193.85/31.51               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 193.85/31.51           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 193.85/31.51           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 193.85/31.51               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 193.85/31.51               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.51               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.51         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 193.85/31.51           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 193.85/31.51           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 193.85/31.51               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.85/31.51             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.85/31.51         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 193.85/31.51           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 193.85/31.51           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 193.85/31.51                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 193.85/31.51               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 193.85/31.51               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 193.85/31.51           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 193.85/31.51           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.85/31.51             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.51           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.85/31.51               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 193.85/31.51           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 193.85/31.51           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 193.85/31.51               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 193.85/31.51               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 193.85/31.51               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.51         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 193.85/31.51           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 193.85/31.51           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 193.85/31.51               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.85/31.51             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.85/31.51         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 193.85/31.51           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 193.85/31.51           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 193.85/31.51                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 193.85/31.51               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 193.85/31.51               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 193.85/31.51           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 193.85/31.51             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 193.85/31.51               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.51           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.85/31.51               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 193.85/31.51           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 193.85/31.51           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 193.85/31.51               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 193.85/31.51               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 193.85/31.51               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 193.85/31.51         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 193.85/31.51           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 193.85/31.51           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 193.85/31.51               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 193.85/31.51             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 193.85/31.51         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 193.85/31.51             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 193.85/31.51           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 193.85/31.51               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 193.85/31.51             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 193.85/31.51         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 193.85/31.51             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 193.85/31.51           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 193.85/31.51               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 193.85/31.51             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 193.85/31.51         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 193.85/31.51             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 193.85/31.51           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 193.85/31.51               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 193.85/31.51             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 193.85/31.51         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 193.85/31.51             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 193.85/31.51           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 193.85/31.51               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 193.85/31.51             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 193.85/31.51    (4)   ~ (all_52_13 = e3)
% 193.85/31.51    (5)  op(e1, e2) = all_52_6
% 193.85/31.51    (6)  op(e0, e0) = all_14_2
% 193.85/31.51    (7)   ~ (all_52_3 = e2)
% 193.85/31.51    (8)  ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3, e2) = all_12_1
% 193.85/31.51           & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e1) & op(e3, e2) =
% 193.85/31.51           all_12_1 & $i(all_12_1))
% 193.85/31.51    (9)   ~ (all_14_2 = e1)
% 193.85/31.51    (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 193.85/31.51          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 193.85/31.51    (11)  all_40_2 = e3
% 193.85/31.51    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 193.85/31.51          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 193.85/31.51    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 193.85/31.51          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 193.85/31.51    (14)   ~ (e3 = e2)
% 193.85/31.51    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 193.85/31.51            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 193.85/31.51    (16)   ~ (all_52_3 = all_14_2)
% 193.85/31.51    (17)   ~ (all_52_13 = all_14_2)
% 193.85/31.51    (18)  op(e3, e2) = all_52_4
% 193.85/31.51    (19)  op(e2, e2) = e3
% 193.85/31.51    (20)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 193.85/31.51    (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 193.85/31.51          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 193.85/31.51    (22)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 193.85/31.51          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 193.85/31.51    (23)   ~ (all_52_9 = e3)
% 193.85/31.51    (24)  all_54_12 = all_52_3
% 193.85/31.51    (25)   ~ (all_52_4 = e2)
% 193.85/31.51    (26)  op(e0, e3) = all_52_3
% 193.85/31.51    (27)  op(e2, e0) = all_52_13
% 193.85/31.51    (28)  op(e1, e0) = all_52_14
% 193.85/31.51    (29)   ~ (all_52_12 = e2)
% 193.85/31.51    (30)  all_54_8 = all_52_2
% 193.85/31.51    (31)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 193.85/31.51    (32)   ~ (all_52_12 = all_14_2)
% 193.85/31.51    (33)   ~ (all_46_2 = e2) | ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 193.85/31.51            op(e3, e2) = all_46_1 & $i(all_46_0) & $i(all_46_1)) | ( ~ (all_46_1 =
% 193.85/31.51              e0) & op(e3, e2) = all_46_1 & $i(all_46_1))
% 193.85/31.51    (34)   ~ (all_52_2 = all_52_14)
% 193.85/31.51    (35)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 193.85/31.51              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 193.85/31.51            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 193.85/31.51            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 193.85/31.51            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 193.85/31.51            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.85/31.51            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 193.85/31.51            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 193.85/31.51            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 193.85/31.51            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.85/31.51            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 193.85/31.51            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 193.85/31.51            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.85/31.51            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.85/31.51            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 193.85/31.51            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 193.85/31.51            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.85/31.51            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 193.85/31.51            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.85/31.51            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.85/31.51            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 193.85/31.51            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.85/31.51            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.85/31.51            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 193.85/31.51            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.85/31.51            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.85/31.51            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.85/31.51            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.85/31.51            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.85/31.51            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 193.85/31.51            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.85/31.51            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.85/31.51            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 193.85/31.51            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 193.85/31.51            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.85/31.51            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.85/31.51            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.85/31.51            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 193.85/31.51            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.85/31.51            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.85/31.51            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.85/31.51            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 193.85/31.51            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.85/31.51            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.85/31.51            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 193.85/31.51            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 193.85/31.51            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.85/31.51            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 193.85/31.51              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 193.85/31.51            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.85/31.51            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 193.85/31.51              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.85/31.51            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 193.85/31.51            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 193.85/31.51                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 193.85/31.51                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.85/31.51                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 193.85/31.51                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 193.85/31.51                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 193.85/31.51                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.85/31.51                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 193.85/31.51              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 193.85/31.51                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 193.85/31.51                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.85/31.51                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 193.85/31.51                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 193.85/31.51                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 193.85/31.51                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.85/31.51                $i(all_57_7))))
% 193.85/31.51    (36)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 193.85/31.51          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 193.85/31.51    (37)   ~ (all_52_2 = e2)
% 193.85/31.51    (38)   ~ (all_52_14 = all_14_2)
% 193.85/31.51    (39)  op(e1, e3) = e1
% 193.85/31.51    (40)  op(e0, e1) = all_52_11
% 193.85/31.51    (41)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 193.85/31.51          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 193.85/31.51    (42)   ~ (all_14_2 = e3)
% 193.85/31.51    (43)  all_46_2 = e2
% 193.85/31.51    (44)   ~ (all_14_2 = e2)
% 193.85/31.51    (45)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 193.85/31.51    (46)   ~ (all_52_8 = e2)
% 193.85/31.51    (47)  ( ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 & op(e2, e3) = all_4_1 &
% 193.85/31.51            $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e1) & op(e2, e3) = all_4_1
% 193.85/31.51            & $i(all_4_1))
% 193.85/31.51    (48)  op(e3, e3) = e2
% 193.85/31.51    (49)  all_54_15 = all_14_2
% 193.85/31.51    (50)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 193.85/31.51          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 193.85/31.51    (51)   ~ (all_52_1 = all_52_13)
% 193.85/31.51    (52)   ~ (all_52_11 = all_14_2)
% 193.85/31.51    (53)   ~ (all_52_6 = e3)
% 193.85/31.51    (54)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 193.85/31.51          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 193.85/31.51    (55)   ~ (all_52_7 = all_14_2)
% 193.85/31.51    (56)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 193.85/31.51          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 193.85/31.51    (57)   ~ (all_52_2 = all_52_6)
% 193.85/31.51    (58)   ~ (all_52_1 = e2)
% 193.85/31.51    (59)   ~ (e2 = e1)
% 193.85/31.51    (60)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 193.85/31.51          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 193.85/31.51    (61)  op(e3, e0) = all_52_12
% 193.85/31.51    (62)   ~ (all_52_2 = all_52_3)
% 193.85/31.51    (63)  op(e2, e1) = all_52_9
% 193.85/31.51    (64)   ~ (all_52_1 = all_52_2)
% 193.85/31.51    (65)   ~ (all_52_1 = all_52_3)
% 193.85/31.51    (66)   ~ (all_40_2 = e3) | ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 &
% 193.85/31.51            op(e2, e3) = all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 =
% 193.85/31.51              e0) & op(e2, e3) = all_40_1 & $i(all_40_1))
% 193.85/31.51    (67)  op(e3, e1) = all_52_8
% 193.85/31.51    (68)   ~ (all_52_9 = all_52_13)
% 193.85/31.51    (69)   ~ (e3 = e1)
% 193.85/31.51    (70)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 193.85/31.51          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 193.85/31.51    (71)  op(e0, e2) = all_52_7
% 193.85/31.51    (72)  op(e1, e1) = e3
% 193.85/31.51    (73)  op(e2, e3) = all_52_1
% 193.85/31.51  
% 193.85/31.51  Begin of proof
% 193.85/31.51  | 
% 193.85/31.51  | BETA: splitting (31) gives:
% 193.85/31.51  | 
% 193.85/31.51  | Case 1:
% 193.85/31.51  | | 
% 193.85/31.51  | |   (74)  all_54_15 = e3
% 193.85/31.51  | | 
% 193.85/31.51  | | REF_CLOSE: (42), (49), (74) are inconsistent by sub-proof #1675.
% 193.85/31.51  | | 
% 193.85/31.51  | Case 2:
% 193.85/31.51  | | 
% 193.85/31.51  | |   (75)   ~ (all_54_15 = e3)
% 193.85/31.51  | |   (76)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 193.85/31.51  | | 
% 193.85/31.51  | | BETA: splitting (76) gives:
% 193.85/31.51  | | 
% 193.85/31.51  | | Case 1:
% 193.85/31.51  | | | 
% 193.85/31.51  | | |   (77)  all_54_15 = e2
% 193.85/31.51  | | | 
% 193.85/31.51  | | | REF_CLOSE: (44), (49), (77) are inconsistent by sub-proof #1648.
% 193.85/31.51  | | | 
% 193.85/31.51  | | Case 2:
% 193.85/31.51  | | | 
% 193.85/31.51  | | |   (78)   ~ (all_54_15 = e2)
% 193.85/31.51  | | |   (79)  all_54_15 = e1 | all_54_15 = e0
% 193.85/31.51  | | | 
% 193.85/31.51  | | | BETA: splitting (79) gives:
% 193.85/31.51  | | | 
% 193.85/31.51  | | | Case 1:
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | |   (80)  all_54_15 = e1
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | REF_CLOSE: (9), (49), (80) are inconsistent by sub-proof #1660.
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | Case 2:
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | |   (81)  all_54_15 = e0
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | COMBINE_EQS: (49), (81) imply:
% 193.85/31.51  | | | |   (82)  all_14_2 = e0
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | SIMP: (82) implies:
% 193.85/31.51  | | | |   (83)  all_14_2 = e0
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | REDUCE: (42), (83) imply:
% 193.85/31.51  | | | |   (84)   ~ (e3 = e0)
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | SIMP: (84) implies:
% 193.85/31.51  | | | |   (85)   ~ (e3 = e0)
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | REDUCE: (44), (83) imply:
% 193.85/31.51  | | | |   (86)   ~ (e2 = e0)
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | SIMP: (86) implies:
% 193.85/31.51  | | | |   (87)   ~ (e2 = e0)
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | REDUCE: (9), (83) imply:
% 193.85/31.51  | | | |   (88)   ~ (e1 = e0)
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | SIMP: (88) implies:
% 193.85/31.51  | | | |   (89)   ~ (e1 = e0)
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | REDUCE: (6), (83) imply:
% 193.85/31.51  | | | |   (90)  op(e0, e0) = e0
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | BETA: splitting (35) gives:
% 193.85/31.51  | | | | 
% 193.85/31.51  | | | | Case 1:
% 193.85/31.51  | | | | | 
% 193.85/31.51  | | | | |   (91)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.85/31.51  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 193.85/31.51  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 193.85/31.51  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 193.85/31.51  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 193.85/31.51  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 193.85/31.51  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 193.85/31.51  | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 193.85/31.51  | | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 193.85/31.51  | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 193.85/31.51  | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 193.85/31.51  | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 193.85/31.51  | | | | |           & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 193.85/31.51  | | | | |           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 193.85/31.51  | | | | |           (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 193.85/31.51  | | | | |           all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 193.85/31.51  | | | | |             e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3
% 193.85/31.51  | | | | |           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2)
% 193.85/31.51  | | | | |           & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.85/31.51  | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 193.85/31.51  | | | | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.85/31.51  | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 193.85/31.51  | | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 193.85/31.51  | | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 193.85/31.51  | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.85/31.51  | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 193.85/31.51  | | | | |           = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.85/31.51  | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 193.85/31.51  | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 193.85/31.51  | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.85/31.51  | | | | | 
% 193.85/31.51  | | | | | BETA: splitting (91) gives:
% 193.85/31.51  | | | | | 
% 193.85/31.51  | | | | | Case 1:
% 193.85/31.51  | | | | | | 
% 193.85/31.51  | | | | | |   (92)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.85/31.51  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 193.85/31.51  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.85/31.51  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 193.85/31.51  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 193.85/31.51  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 193.85/31.51  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 193.85/31.51  | | | | | |         | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.85/31.51  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 193.85/31.51  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 193.85/31.51  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 193.85/31.51  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 193.85/31.51  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 193.85/31.51  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 193.85/31.51  | | | | | | 
% 193.85/31.51  | | | | | | BETA: splitting (92) gives:
% 193.85/31.51  | | | | | | 
% 193.85/31.51  | | | | | | Case 1:
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | |   (93)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 193.85/31.51  | | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 193.85/31.51  | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 193.85/31.51  | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 193.85/31.51  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 193.85/31.51  | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 193.85/31.51  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 193.85/31.51  | | | | | | |           $i(all_57_12))
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | | REF_CLOSE: (15), (39), (58), (73), (93) are inconsistent by
% 193.85/31.51  | | | | | | |            sub-proof #755.
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | Case 2:
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | |   (94)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 193.85/31.51  | | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 193.85/31.51  | | | | | | |           e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.85/31.51  | | | | | | |           $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 193.85/31.51  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 193.85/31.51  | | | | | | |             e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 193.85/31.51  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 193.85/31.51  | | | | | | |           $i(all_57_14))
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | | REF_CLOSE: (15), (72), (94) are inconsistent by sub-proof #133.
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | End of split
% 193.85/31.51  | | | | | | 
% 193.85/31.51  | | | | | Case 2:
% 193.85/31.51  | | | | | | 
% 193.85/31.51  | | | | | |   (95)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.85/31.51  | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 193.85/31.51  | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.85/31.51  | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15
% 193.85/31.51  | | | | | |           = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3,
% 193.85/31.51  | | | | | |             e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 193.85/31.51  | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 193.85/31.51  | | | | | |         | (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.85/31.51  | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 193.85/31.51  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 193.85/31.51  | | | | | |           & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 193.85/31.51  | | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 193.85/31.51  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 193.85/31.51  | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 193.85/31.51  | | | | | |           e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 193.85/31.51  | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 193.85/31.51  | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 193.85/31.51  | | | | | |           $i(all_57_10))
% 193.85/31.51  | | | | | | 
% 193.85/31.51  | | | | | | BETA: splitting (95) gives:
% 193.85/31.51  | | | | | | 
% 193.85/31.51  | | | | | | Case 1:
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | |   (96)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 193.85/31.51  | | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 193.85/31.51  | | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 193.85/31.51  | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 193.85/31.51  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 193.85/31.51  | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 193.85/31.51  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.85/31.51  | | | | | | |           $i(all_57_10))
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | | REF_CLOSE: (15), (48), (96) are inconsistent by sub-proof #798.
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | Case 2:
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | |   (97)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.85/31.51  | | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.85/31.51  | | | | | | |           all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.85/31.51  | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 193.85/31.51  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 193.85/31.51  | | | | | | |             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.85/31.51  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 193.85/31.51  | | | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 193.85/31.51  | | | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 193.85/31.51  | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 193.85/31.51  | | | | | | |             e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | | BETA: splitting (97) gives:
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | | Case 1:
% 193.85/31.51  | | | | | | | | 
% 193.85/31.51  | | | | | | | |   (98)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 193.85/31.51  | | | | | | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 193.85/31.51  | | | | | | | |         all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 193.85/31.51  | | | | | | | |         $i(all_57_3) & $i(all_57_14)
% 193.85/31.51  | | | | | | | | 
% 193.85/31.51  | | | | | | | | ALPHA: (98) implies:
% 193.85/31.51  | | | | | | | |   (99)  op(e1, e2) = e1
% 193.85/31.51  | | | | | | | | 
% 193.85/31.51  | | | | | | | | REF_CLOSE: (2), (5), (15), (39), (57), (99) are inconsistent by
% 193.85/31.51  | | | | | | | |            sub-proof #185.
% 193.85/31.51  | | | | | | | | 
% 193.85/31.51  | | | | | | | Case 2:
% 193.85/31.51  | | | | | | | | 
% 193.85/31.51  | | | | | | | |   (100)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) & 
% 193.85/31.51  | | | | | | | |            ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 193.85/31.51  | | | | | | | |            all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.85/31.51  | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 193.85/31.51  | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 193.85/31.51  | | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 193.85/31.51  | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 193.85/31.51  | | | | | | | |            $i(all_57_7) & $i(all_57_10))
% 193.85/31.51  | | | | | | | | 
% 193.85/31.51  | | | | | | | | BETA: splitting (100) gives:
% 193.85/31.51  | | | | | | | | 
% 193.85/31.51  | | | | | | | | Case 1:
% 193.85/31.51  | | | | | | | | | 
% 193.85/31.51  | | | | | | | | |   (101)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &
% 193.85/31.51  | | | | | | | | |           ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 193.85/31.51  | | | | | | | | |          all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 193.85/31.51  | | | | | | | | |          $i(all_57_5) & $i(all_57_14)
% 193.85/31.51  | | | | | | | | | 
% 193.85/31.51  | | | | | | | | | ALPHA: (101) implies:
% 193.85/31.51  | | | | | | | | |   (102)  op(e1, e2) = e1
% 193.85/31.51  | | | | | | | | | 
% 193.85/31.51  | | | | | | | | | REF_CLOSE: (2), (5), (15), (39), (57), (102) are inconsistent
% 193.85/31.51  | | | | | | | | |            by sub-proof #185.
% 193.85/31.51  | | | | | | | | | 
% 193.85/31.51  | | | | | | | | Case 2:
% 193.85/31.51  | | | | | | | | | 
% 193.85/31.51  | | | | | | | | |   (103)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 193.85/31.51  | | | | | | | | |           ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 193.85/31.51  | | | | | | | | |            e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7
% 193.85/31.51  | | | | | | | | |          & $i(all_57_7) & $i(all_57_10)
% 193.85/31.51  | | | | | | | | | 
% 193.85/31.51  | | | | | | | | | ALPHA: (103) implies:
% 193.85/31.51  | | | | | | | | |   (104)  op(e2, e2) = e1
% 193.85/31.51  | | | | | | | | | 
% 193.85/31.51  | | | | | | | | | REF_CLOSE: (15), (19), (69), (104) are inconsistent by
% 193.85/31.51  | | | | | | | | |            sub-proof #1679.
% 193.85/31.51  | | | | | | | | | 
% 193.85/31.51  | | | | | | | | End of split
% 193.85/31.51  | | | | | | | | 
% 193.85/31.51  | | | | | | | End of split
% 193.85/31.51  | | | | | | | 
% 193.85/31.51  | | | | | | End of split
% 193.85/31.51  | | | | | | 
% 193.85/31.51  | | | | | End of split
% 193.85/31.51  | | | | | 
% 193.85/31.51  | | | | Case 2:
% 193.85/31.51  | | | | | 
% 193.85/31.52  | | | | |   (105)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.85/31.52  | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 193.85/31.52  | | | | |            & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 193.85/31.52  | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 193.85/31.52  | | | | |            (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 193.85/31.52  | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 193.85/31.52  | | | | |            = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 193.85/31.52  | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 193.85/31.52  | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 193.85/31.52  | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12))
% 193.85/31.52  | | | | |          | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.85/31.52  | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 193.85/31.52  | | | | |            & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10)
% 193.85/31.52  | | | | |            & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 193.85/31.52  | | | | |            (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 193.85/31.52  | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 193.85/31.52  | | | | |            = all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 =
% 193.85/31.52  | | | | |            e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 193.85/31.52  | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2,
% 193.85/31.52  | | | | |              e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 193.85/31.52  | | | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 193.85/31.52  | | | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 193.85/31.52  | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 193.85/31.52  | | | | |            = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 193.85/31.52  | | | | |            all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1)
% 193.85/31.52  | | | | |            & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) =
% 193.85/31.52  | | | | |            e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 193.85/31.52  | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 193.85/31.52  | | | | |            (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 193.85/31.52  | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 193.85/31.52  | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 193.85/31.52  | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 =
% 193.85/31.52  | | | | |                e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2,
% 193.85/31.52  | | | | |                  e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.85/31.52  | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.85/31.52  | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.85/31.52  | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.85/31.52  | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.85/31.52  | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 193.85/31.52  | | | | |                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.85/31.52  | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 193.85/31.52  | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.85/31.52  | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.85/31.52  | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.85/31.52  | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 193.85/31.52  | | | | |                & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.85/31.52  | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.85/31.52  | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 193.85/31.52  | | | | |                & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.85/31.52  | | | | |                $i(all_57_7))))
% 193.85/31.52  | | | | | 
% 193.85/31.52  | | | | | BETA: splitting (105) gives:
% 193.85/31.52  | | | | | 
% 193.85/31.52  | | | | | Case 1:
% 193.85/31.52  | | | | | | 
% 193.85/31.52  | | | | | |   (106)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.85/31.52  | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 193.85/31.52  | | | | | |            e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 193.85/31.52  | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 193.85/31.52  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1)
% 193.85/31.52  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 193.85/31.52  | | | | | |            all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 193.85/31.52  | | | | | |            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 193.85/31.52  | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 193.85/31.52  | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 193.85/31.52  | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 193.85/31.52  | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 193.85/31.52  | | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 193.85/31.52  | | | | | |            e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.85/31.52  | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 193.85/31.52  | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 193.85/31.52  | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 193.85/31.52  | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 193.85/31.52  | | | | | |            $i(all_57_13))
% 193.85/31.52  | | | | | | 
% 193.85/31.52  | | | | | | BETA: splitting (106) gives:
% 193.85/31.52  | | | | | | 
% 193.85/31.52  | | | | | | Case 1:
% 193.85/31.52  | | | | | | | 
% 193.85/31.52  | | | | | | |   (107)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.85/31.52  | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1)
% 193.85/31.52  | | | | | | |            = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 193.85/31.52  | | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 193.85/31.52  | | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 193.85/31.52  | | | | | | |              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 193.85/31.52  | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6)
% 193.85/31.52  | | | | | | |            & $i(all_57_12))
% 193.85/31.52  | | | | | | | 
% 193.85/31.52  | | | | | | | REF_CLOSE: (15), (48), (59), (89), (90), (107) are inconsistent by
% 193.85/31.52  | | | | | | |            sub-proof #791.
% 193.85/31.52  | | | | | | | 
% 193.85/31.52  | | | | | | Case 2:
% 193.85/31.52  | | | | | | | 
% 193.85/31.52  | | | | | | |   (108)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 193.85/31.52  | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1)
% 193.85/31.52  | | | | | | |            = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 193.85/31.52  | | | | | | |            $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 193.85/31.52  | | | | | | |            all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 193.85/31.52  | | | | | | |              e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.85/31.52  | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 193.85/31.52  | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 193.85/31.52  | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 193.85/31.52  | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.85/31.52  | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.85/31.52  | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 193.85/31.52  | | | | | | | 
% 193.85/31.52  | | | | | | | BETA: splitting (108) gives:
% 193.85/31.52  | | | | | | | 
% 193.85/31.52  | | | | | | | Case 1:
% 193.85/31.52  | | | | | | | | 
% 193.85/31.52  | | | | | | | |   (109)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) & 
% 193.85/31.52  | | | | | | | |          ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 193.85/31.52  | | | | | | | |            e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 193.85/31.52  | | | | | | | |          $i(all_57_8) & $i(all_57_12)
% 193.85/31.52  | | | | | | | | 
% 193.85/31.52  | | | | | | | | ALPHA: (109) implies:
% 193.85/31.52  | | | | | | | |   (110)  op(e0, e0) = e1
% 193.85/31.52  | | | | | | | | 
% 193.85/31.52  | | | | | | | | REF_CLOSE: (15), (89), (90), (110) are inconsistent by sub-proof
% 193.85/31.52  | | | | | | | |            #1943.
% 193.85/31.52  | | | | | | | | 
% 193.85/31.52  | | | | | | | Case 2:
% 193.85/31.52  | | | | | | | | 
% 193.85/31.52  | | | | | | | |   (111)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &
% 193.85/31.52  | | | | | | | |             ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 193.85/31.52  | | | | | | | |              e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 193.85/31.52  | | | | | | | |            & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 193.85/31.52  | | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 193.85/31.52  | | | | | | | |              = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 193.85/31.52  | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 193.85/31.52  | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 193.85/31.52  | | | | | | | | 
% 193.85/31.52  | | | | | | | | BETA: splitting (111) gives:
% 193.85/31.52  | | | | | | | | 
% 193.85/31.52  | | | | | | | | Case 1:
% 193.85/31.52  | | | | | | | | | 
% 193.85/31.52  | | | | | | | | |   (112)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 193.85/31.52  | | | | | | | | |          &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 193.85/31.52  | | | | | | | | |          op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 193.85/31.52  | | | | | | | | |          all_57_11 & $i(all_57_10) & $i(all_57_11)
% 193.85/31.52  | | | | | | | | | 
% 193.85/31.52  | | | | | | | | | ALPHA: (112) implies:
% 193.85/31.52  | | | | | | | | |   (113)  op(e2, e2) = e0
% 193.85/31.52  | | | | | | | | | 
% 193.85/31.52  | | | | | | | | | REF_CLOSE: (15), (19), (85), (113) are inconsistent by
% 193.85/31.52  | | | | | | | | |            sub-proof #202.
% 193.85/31.52  | | | | | | | | | 
% 193.85/31.52  | | | | | | | | Case 2:
% 193.85/31.52  | | | | | | | | | 
% 193.85/31.52  | | | | | | | | |   (114)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 193.85/31.52  | | | | | | | | |          &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 193.85/31.52  | | | | | | | | |          op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 193.85/31.52  | | | | | | | | |          all_57_13 & $i(all_57_10) & $i(all_57_13)
% 193.85/31.52  | | | | | | | | | 
% 193.85/31.52  | | | | | | | | | ALPHA: (114) implies:
% 193.85/31.52  | | | | | | | | |   (115)  op(e1, e1) = e0
% 193.85/31.52  | | | | | | | | | 
% 193.85/31.52  | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 193.85/31.52  | | | | | | | | |            (11), (12), (13), (14), (15), (17), (18), (19),
% 193.85/31.52  | | | | | | | | |            (20), (21), (22), (23), (24), (25), (26), (27),
% 193.85/31.52  | | | | | | | | |            (28), (29), (30), (32), (33), (36), (37), (38),
% 193.85/31.52  | | | | | | | | |            (41), (42), (43), (44), (45), (46), (47), (48),
% 193.85/31.52  | | | | | | | | |            (49), (50), (51), (53), (54), (56), (57), (59),
% 193.85/31.52  | | | | | | | | |            (60), (61), (62), (63), (64), (65), (66), (67),
% 193.85/31.52  | | | | | | | | |            (68), (69), (70), (73), (79), (115) are
% 193.85/31.52  | | | | | | | | |            inconsistent by sub-proof #92.
% 193.85/31.52  | | | | | | | | | 
% 193.85/31.52  | | | | | | | | End of split
% 193.85/31.52  | | | | | | | | 
% 193.85/31.52  | | | | | | | End of split
% 193.85/31.52  | | | | | | | 
% 193.85/31.52  | | | | | | End of split
% 193.85/31.52  | | | | | | 
% 193.85/31.52  | | | | | Case 2:
% 193.85/31.52  | | | | | | 
% 193.85/31.52  | | | | | |   (116)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 193.85/31.52  | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.85/31.52  | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.85/31.52  | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 193.85/31.52  | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 = e0)
% 193.85/31.52  | | | | | |            & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 193.85/31.52  | | | | | |            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 193.85/31.52  | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 193.85/31.52  | | | | | |            (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 193.85/31.52  | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 193.85/31.52  | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 193.85/31.52  | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 193.85/31.52  | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 193.85/31.52  | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 193.85/31.52  | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 193.85/31.52  | | | | | |            & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 193.85/31.52  | | | | | |                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 193.85/31.52  | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 193.85/31.52  | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 193.85/31.52  | | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 193.85/31.52  | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 193.85/31.52  | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 193.85/31.52  | | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 193.85/31.52  | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 193.85/31.52  | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 193.85/31.52  | | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 193.85/31.52  | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 193.85/31.52  | | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 193.85/31.52  | | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 193.85/31.52  | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 193.85/31.52  | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 193.85/31.52  | | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 193.85/31.52  | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 193.85/31.52  | | | | | |                $i(all_57_7))))
% 193.85/31.52  | | | | | | 
% 193.85/31.52  | | | | | | BETA: splitting (116) gives:
% 193.85/31.52  | | | | | | 
% 193.85/31.52  | | | | | | Case 1:
% 193.85/31.52  | | | | | | | 
% 193.85/31.52  | | | | | | |   (117)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) & 
% 193.85/31.52  | | | | | | |            ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 193.85/31.52  | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 193.85/31.52  | | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 194.36/31.52  | | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 194.36/31.52  | | | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.36/31.52  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 194.36/31.52  | | | | | | |            & $i(all_57_14))
% 194.36/31.52  | | | | | | | 
% 194.36/31.52  | | | | | | | REF_CLOSE: (15), (48), (87), (117) are inconsistent by sub-proof
% 194.36/31.52  | | | | | | |            #819.
% 194.36/31.52  | | | | | | | 
% 194.36/31.52  | | | | | | Case 2:
% 194.36/31.52  | | | | | | | 
% 194.36/31.52  | | | | | | |   (118)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) & 
% 194.36/31.52  | | | | | | |            ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 194.36/31.52  | | | | | | |              e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.36/31.52  | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 194.36/31.52  | | | | | | |            all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 194.36/31.52  | | | | | | |              e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.36/31.52  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.36/31.52  | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.36/31.52  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 194.36/31.52  | | | | | | |                = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.36/31.52  | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 194.36/31.52  | | | | | | |                  e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 194.36/31.52  | | | | | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 194.36/31.52  | | | | | | |                  = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.36/31.52  | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.36/31.52  | | | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 194.36/31.52  | | | | | | |                  = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.36/31.52  | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 194.36/31.52  | | | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.36/31.52  | | | | | | |                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.36/31.52  | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.36/31.52  | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.36/31.52  | | | | | | |                  = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.36/31.52  | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.36/31.52  | | | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 194.36/31.52  | | | | | | |                  = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.36/31.52  | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 194.36/31.52  | | | | | | | 
% 194.36/31.52  | | | | | | | BETA: splitting (118) gives:
% 194.36/31.52  | | | | | | | 
% 194.36/31.52  | | | | | | | Case 1:
% 194.36/31.52  | | | | | | | | 
% 194.36/31.52  | | | | | | | |   (119)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &
% 194.36/31.52  | | | | | | | |           ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 194.36/31.52  | | | | | | | |            e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.36/31.52  | | | | | | | |          $i(all_57_12) & $i(all_57_13)
% 194.36/31.52  | | | | | | | | 
% 194.36/31.52  | | | | | | | | ALPHA: (119) implies:
% 194.36/31.52  | | | | | | | |   (120)  op(e1, e1) = e0
% 194.36/31.52  | | | | | | | | 
% 194.36/31.52  | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 194.36/31.52  | | | | | | | |            (11), (12), (13), (14), (15), (17), (18), (19), (20),
% 194.36/31.52  | | | | | | | |            (21), (22), (23), (24), (25), (26), (27), (28), (29),
% 194.36/31.52  | | | | | | | |            (30), (32), (33), (36), (37), (38), (41), (42), (43),
% 194.36/31.52  | | | | | | | |            (44), (45), (46), (47), (48), (49), (50), (51), (53),
% 194.36/31.52  | | | | | | | |            (54), (56), (57), (59), (60), (61), (62), (63), (64),
% 194.36/31.52  | | | | | | | |            (65), (66), (67), (68), (69), (70), (73), (79), (120)
% 194.36/31.52  | | | | | | | |            are inconsistent by sub-proof #92.
% 194.36/31.52  | | | | | | | | 
% 194.36/31.52  | | | | | | | Case 2:
% 194.36/31.52  | | | | | | | | 
% 194.36/31.52  | | | | | | | |   (121)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 194.36/31.52  | | | | | | | |            &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 194.36/31.52  | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 194.36/31.52  | | | | | | | |            e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.36/31.52  | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.36/31.52  | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.36/31.52  | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 194.36/31.52  | | | | | | | |                  e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 194.36/31.52  | | | | | | | |              (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.36/31.52  | | | | | | | |                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.36/31.52  | | | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.36/31.52  | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 194.36/31.52  | | | | | | | |                 ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 194.36/31.52  | | | | | | | |                  e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 194.36/31.52  | | | | | | | |                e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.36/31.52  | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 194.36/31.52  | | | | | | | |                op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 194.36/31.52  | | | | | | | |                  e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.36/31.52  | | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.36/31.52  | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.36/31.52  | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.36/31.52  | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.36/31.52  | | | | | | | |                  e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 194.36/31.52  | | | | | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.36/31.52  | | | | | | | |                $i(all_57_7))))
% 194.36/31.52  | | | | | | | | 
% 194.36/31.52  | | | | | | | | BETA: splitting (121) gives:
% 194.36/31.52  | | | | | | | | 
% 194.36/31.52  | | | | | | | | Case 1:
% 194.36/31.52  | | | | | | | | | 
% 194.36/31.52  | | | | | | | | |   (122)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 194.36/31.52  | | | | | | | | |          &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 194.36/31.52  | | | | | | | | |          = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 194.36/31.52  | | | | | | | | |          e1 & $i(all_57_11) & $i(all_57_14)
% 194.36/31.52  | | | | | | | | | 
% 194.36/31.52  | | | | | | | | | ALPHA: (122) implies:
% 194.36/31.52  | | | | | | | | |   (123)  op(e1, e0) = e1
% 194.36/31.52  | | | | | | | | | 
% 194.36/31.52  | | | | | | | | | REF_CLOSE: (2), (15), (28), (34), (39), (123) are inconsistent
% 194.36/31.52  | | | | | | | | |            by sub-proof #303.
% 194.36/31.52  | | | | | | | | | 
% 194.36/31.52  | | | | | | | | Case 2:
% 194.36/31.52  | | | | | | | | | 
% 194.36/31.52  | | | | | | | | |   (124)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 194.36/31.52  | | | | | | | | |              e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.36/31.52  | | | | | | | | |              (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 194.36/31.52  | | | | | | | | |                e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 194.36/31.52  | | | | | | | | |            (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.36/31.52  | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.36/31.52  | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.36/31.52  | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 194.36/31.52  | | | | | | | | |               ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 194.36/31.52  | | | | | | | | |                e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 194.36/31.52  | | | | | | | | |              e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.36/31.52  | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 194.36/31.52  | | | | | | | | |              op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 194.36/31.52  | | | | | | | | |                e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.36/31.52  | | | | | | | | |              all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.36/31.52  | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.36/31.52  | | | | | | | | |              all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.36/31.52  | | | | | | | | |            (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.36/31.52  | | | | | | | | |                e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 194.36/31.52  | | | | | | | | |              op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.36/31.52  | | | | | | | | |              $i(all_57_7)))
% 194.36/31.52  | | | | | | | | | 
% 194.36/31.52  | | | | | | | | | ALPHA: (124) implies:
% 194.36/31.52  | | | | | | | | |   (125)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2)
% 194.36/31.52  | | | | | | | | |            &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.36/31.52  | | | | | | | | |            op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 194.36/31.52  | | | | | | | | |          (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 194.36/31.52  | | | | | | | | |            &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.36/31.52  | | | | | | | | |            op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.36/31.52  | | | | | | | | |          (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3)
% 194.36/31.52  | | | | | | | | |            &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.36/31.52  | | | | | | | | |              e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.36/31.52  | | | | | | | | |          | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.36/31.52  | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.36/31.52  | | | | | | | | |            & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4))
% 194.36/31.52  | | | | | | | | |          | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 194.36/31.52  | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 194.36/31.52  | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.36/31.52  | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 & 
% 194.36/31.52  | | | | | | | | |            ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 194.36/31.52  | | | | | | | | |              e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 194.36/31.52  | | | | | | | | |            e0 & $i(all_57_7))
% 194.36/31.52  | | | | | | | | | 
% 194.36/31.52  | | | | | | | | | REF_CLOSE: (9), (15), (16), (26), (40), (48), (49), (52),
% 194.36/31.52  | | | | | | | | |            (55), (59), (69), (71), (79), (125) are
% 194.36/31.52  | | | | | | | | |            inconsistent by sub-proof #198.
% 194.36/31.52  | | | | | | | | | 
% 194.36/31.52  | | | | | | | | End of split
% 194.36/31.52  | | | | | | | | 
% 194.36/31.52  | | | | | | | End of split
% 194.36/31.52  | | | | | | | 
% 194.36/31.52  | | | | | | End of split
% 194.36/31.52  | | | | | | 
% 194.36/31.52  | | | | | End of split
% 194.36/31.52  | | | | | 
% 194.36/31.52  | | | | End of split
% 194.36/31.52  | | | | 
% 194.36/31.52  | | | End of split
% 194.36/31.52  | | | 
% 194.36/31.52  | | End of split
% 194.36/31.52  | | 
% 194.36/31.52  | End of split
% 194.36/31.52  | 
% 194.36/31.52  End of proof
% 194.36/31.52  
% 194.36/31.52  Sub-proof #86 shows that the following formulas are inconsistent:
% 194.36/31.52  ----------------------------------------------------------------
% 194.36/31.52    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.36/31.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.36/31.52    (2)   ~ (all_52_3 = all_52_7)
% 194.36/31.52    (3)  op(e0, e3) = all_52_3
% 194.36/31.52    (4)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.36/31.52           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.36/31.52           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.36/31.52                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.36/31.52               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.36/31.52               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.36/31.52           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.36/31.52           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.36/31.52             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.36/31.52           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.36/31.52               = all_57_1 & $i(all_57_1))))
% 194.36/31.52    (5)  op(e0, e2) = e0
% 194.36/31.52    (6)  op(e3, e3) = e2
% 194.36/31.52    (7)  op(e0, e2) = all_52_7
% 194.36/31.52    (8)   ~ (e2 = e0)
% 194.36/31.52  
% 194.36/31.52  Begin of proof
% 194.36/31.52  | 
% 194.36/31.52  | BETA: splitting (4) gives:
% 194.36/31.52  | 
% 194.36/31.52  | Case 1:
% 194.36/31.52  | | 
% 194.36/31.52  | |   (9)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.36/31.52  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.36/31.52  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.36/31.52  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 194.36/31.52  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.36/31.52  | |            all_57_13 & $i(all_57_13)))
% 194.36/31.52  | | 
% 194.36/31.52  | | ALPHA: (9) implies:
% 194.36/31.52  | |   (10)  op(e3, e3) = e0
% 194.36/31.52  | | 
% 194.36/31.52  | | REF_CLOSE: (1), (6), (8), (10) are inconsistent by sub-proof #833.
% 194.36/31.52  | | 
% 194.36/31.52  | Case 2:
% 194.36/31.52  | | 
% 194.36/31.52  | |   (11)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 194.36/31.52  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.36/31.52  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.36/31.52  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.36/31.52  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.36/31.52  | |             all_57_1 & $i(all_57_1)))
% 194.36/31.52  | | 
% 194.36/31.52  | | ALPHA: (11) implies:
% 194.36/31.52  | |   (12)  op(e0, e3) = e0
% 194.36/31.52  | | 
% 194.36/31.52  | | REF_CLOSE: (1), (2), (3), (5), (7), (12) are inconsistent by sub-proof #157.
% 194.36/31.52  | | 
% 194.36/31.52  | End of split
% 194.36/31.52  | 
% 194.36/31.52  End of proof
% 194.36/31.52  
% 194.36/31.52  Sub-proof #87 shows that the following formulas are inconsistent:
% 194.36/31.52  ----------------------------------------------------------------
% 194.36/31.52    (1)   ~ (e3 = e2)
% 194.36/31.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.36/31.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.36/31.52    (3)  op(e3, e3) = e2
% 194.36/31.52    (4)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 194.36/31.52    (5)   ~ (all_52_1 = e3)
% 194.36/31.52    (6)  op(e2, e3) = all_52_1
% 194.36/31.52  
% 194.36/31.52  Begin of proof
% 194.36/31.52  | 
% 194.36/31.52  | BETA: splitting (4) gives:
% 194.36/31.52  | 
% 194.36/31.52  | Case 1:
% 194.36/31.52  | | 
% 194.36/31.52  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 194.36/31.52  | | 
% 194.36/31.52  | | ALPHA: (7) implies:
% 194.36/31.52  | |   (8)  op(e3, e3) = e3
% 194.36/31.52  | | 
% 194.36/31.52  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1957.
% 194.36/31.52  | | 
% 194.36/31.52  | Case 2:
% 194.36/31.52  | | 
% 194.36/31.52  | |   (9)  all_56_2 = e3 & op(e2, e3) = e3
% 194.36/31.52  | | 
% 194.36/31.52  | | REF_CLOSE: (2), (5), (6), (9) are inconsistent by sub-proof #223.
% 194.36/31.52  | | 
% 194.36/31.52  | End of split
% 194.36/31.52  | 
% 194.36/31.52  End of proof
% 194.36/31.52  
% 194.36/31.52  Sub-proof #88 shows that the following formulas are inconsistent:
% 194.36/31.52  ----------------------------------------------------------------
% 194.36/31.52    (1)  op(e3, e0) = e3
% 194.36/31.52    (2)  all_54_2 = all_52_8
% 194.36/31.52    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.36/31.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.36/31.52    (4)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.36/31.52           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.36/31.52           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.36/31.52                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.36/31.52               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.36/31.52               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.36/31.52           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.36/31.52             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.36/31.52               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.36/31.52           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.36/31.52               = all_57_4 & $i(all_57_4))))
% 194.36/31.52    (5)   ~ (all_52_3 = all_52_7)
% 194.36/31.52    (6)   ~ (all_52_8 = e3)
% 194.36/31.52    (7)  op(e0, e3) = all_52_3
% 194.36/31.52    (8)  op(e0, e3) = e0
% 194.36/31.52    (9)   ~ (all_52_8 = e2)
% 194.36/31.52    (10)  op(e3, e3) = e2
% 194.36/31.52    (11)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 194.36/31.52    (12)  op(e0, e2) = all_52_7
% 194.36/31.52    (13)   ~ (e2 = e0)
% 194.36/31.52  
% 194.36/31.52  Begin of proof
% 194.36/31.52  | 
% 194.36/31.52  | BETA: splitting (4) gives:
% 194.36/31.52  | 
% 194.36/31.52  | Case 1:
% 194.36/31.52  | | 
% 194.36/31.52  | |   (14)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.36/31.52  | |         op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.36/31.52  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 194.36/31.52  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 =
% 194.36/31.52  | |             e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.36/31.52  | |             all_57_13 & $i(all_57_13)))
% 194.36/31.52  | | 
% 194.36/31.52  | | ALPHA: (14) implies:
% 194.36/31.52  | |   (15)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 194.36/31.52  | |             e0) = all_57_9 & $i(all_57_9))
% 194.36/31.52  | | 
% 194.36/31.52  | | REF_CLOSE: (1), (2), (3), (6), (9), (10), (11), (13), (15) are inconsistent
% 194.36/31.52  | |            by sub-proof #732.
% 194.36/31.52  | | 
% 194.36/31.52  | Case 2:
% 194.36/31.52  | | 
% 194.36/31.52  | |   (16)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 194.36/31.52  | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.36/31.52  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.36/31.52  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 194.36/31.52  | |             e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 194.36/31.52  | |             all_57_4 & $i(all_57_4)))
% 194.36/31.52  | | 
% 194.36/31.52  | | ALPHA: (16) implies:
% 194.36/31.52  | |   (17)  op(e0, e2) = e0
% 194.36/31.52  | | 
% 194.36/31.52  | | REF_CLOSE: (3), (5), (7), (8), (12), (17) are inconsistent by sub-proof
% 194.36/31.52  | |            #157.
% 194.36/31.52  | | 
% 194.36/31.52  | End of split
% 194.36/31.52  | 
% 194.36/31.52  End of proof
% 194.36/31.52  
% 194.36/31.52  Sub-proof #89 shows that the following formulas are inconsistent:
% 194.36/31.52  ----------------------------------------------------------------
% 194.36/31.52    (1)   ~ (all_52_1 = e0)
% 194.36/31.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.36/31.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.36/31.52    (3)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 194.36/31.52    (4)  op(e2, e2) = e3
% 194.36/31.52    (5)  op(e2, e3) = all_52_1
% 194.36/31.52    (6)   ~ (e3 = e0)
% 194.36/31.52  
% 194.36/31.52  Begin of proof
% 194.36/31.52  | 
% 194.36/31.52  | BETA: splitting (3) gives:
% 194.36/31.52  | 
% 194.36/31.52  | Case 1:
% 194.36/31.52  | | 
% 194.36/31.52  | |   (7)  all_56_2 = e0 & op(e2, e3) = e0
% 194.36/31.52  | | 
% 194.36/31.52  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #366.
% 194.36/31.52  | | 
% 194.36/31.52  | Case 2:
% 194.36/31.52  | | 
% 194.36/31.52  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 194.36/31.52  | | 
% 194.36/31.52  | | ALPHA: (8) implies:
% 194.36/31.52  | |   (9)  op(e2, e2) = e0
% 194.36/31.52  | | 
% 194.36/31.52  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #202.
% 194.36/31.52  | | 
% 194.36/31.52  | End of split
% 194.36/31.52  | 
% 194.36/31.52  End of proof
% 194.36/31.52  
% 194.36/31.52  Sub-proof #90 shows that the following formulas are inconsistent:
% 194.36/31.52  ----------------------------------------------------------------
% 194.36/31.52    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.36/31.53             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.36/31.53           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.36/31.53           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.36/31.53           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.36/31.53           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.36/31.53    (2)   ~ (all_52_1 = all_52_9)
% 194.36/31.53    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.36/31.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.36/31.53    (4)  op(e2, e1) = all_52_9
% 194.36/31.53    (5)  op(e2, e3) = all_52_1
% 194.36/31.53    (6)  op(e2, e1) = e2
% 194.36/31.53  
% 194.36/31.53  Begin of proof
% 194.36/31.53  | 
% 194.36/31.53  | BETA: splitting (1) gives:
% 194.36/31.53  | 
% 194.36/31.53  | Case 1:
% 194.36/31.53  | | 
% 194.36/31.53  | |   (7)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.36/31.53  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.36/31.53  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 194.36/31.53  | | 
% 194.36/31.53  | | ALPHA: (7) implies:
% 194.36/31.53  | |   (8)  op(e2, e3) = e2
% 194.36/31.53  | | 
% 194.36/31.53  | | REF_CLOSE: (2), (3), (4), (5), (6), (8) are inconsistent by sub-proof #1135.
% 194.36/31.53  | | 
% 194.36/31.53  | Case 2:
% 194.36/31.53  | | 
% 194.36/31.53  | |   (9)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 194.36/31.53  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.36/31.53  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 194.36/31.53  | | 
% 194.36/31.53  | | ALPHA: (9) implies:
% 194.36/31.53  | |   (10)  op(e2, e3) = e2
% 194.36/31.53  | | 
% 194.36/31.53  | | REF_CLOSE: (2), (3), (4), (5), (6), (10) are inconsistent by sub-proof
% 194.36/31.53  | |            #1135.
% 194.36/31.53  | | 
% 194.36/31.53  | End of split
% 194.36/31.53  | 
% 194.36/31.53  End of proof
% 194.36/31.53  
% 194.36/31.53  Sub-proof #91 shows that the following formulas are inconsistent:
% 194.36/31.53  ----------------------------------------------------------------
% 194.36/31.53    (1)   ~ (all_52_4 = e3)
% 194.36/31.53    (2)  op(e1, e3) = all_52_2
% 194.38/31.53    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.38/31.53           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.38/31.53           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.38/31.53                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.38/31.53               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.38/31.53               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.38/31.53           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.38/31.53           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.53               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.38/31.53           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.38/31.53               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.38/31.53           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.38/31.53           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.38/31.53               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.53               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.53               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.53         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.38/31.53           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.38/31.53           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.38/31.53               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.53             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.53         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.38/31.53           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.38/31.53           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.38/31.53                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.38/31.53               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.38/31.53               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.38/31.53           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.38/31.53           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.38/31.53             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.53           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.38/31.53               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.38/31.53           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.38/31.53           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.38/31.53               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.53               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.53               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.53         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.38/31.53           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.38/31.53           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.38/31.53               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.38/31.53             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.53         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.38/31.53           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.38/31.53           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.38/31.53                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.38/31.53               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.53               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.38/31.53           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.38/31.53             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.53               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.53           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.38/31.53               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.38/31.53           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.38/31.53           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.38/31.53               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.53               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.53               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.38/31.53         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.38/31.53           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.38/31.53           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.38/31.53               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.38/31.53             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.38/31.53         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.38/31.53             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.53           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.38/31.53               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.53             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.53         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.38/31.53             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.53           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.38/31.53               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.38/31.53             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.53         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.38/31.53             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.53           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.38/31.53               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.38/31.53             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.53         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.38/31.53             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.53           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.38/31.53               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.38/31.53             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.38/31.53    (4)   ~ (all_52_13 = e3)
% 194.38/31.53    (5)  op(e1, e2) = all_52_6
% 194.38/31.53    (6)  op(e0, e0) = all_14_2
% 194.38/31.53    (7)   ~ (all_52_3 = e2)
% 194.38/31.53    (8)  ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3, e2) = all_12_1
% 194.38/31.53           & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e1) & op(e3, e2) =
% 194.38/31.53           all_12_1 & $i(all_12_1))
% 194.38/31.53    (9)   ~ (all_14_2 = e1)
% 194.38/31.53    (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.38/31.53          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.38/31.53    (11)  all_40_2 = e3
% 194.38/31.53    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.38/31.53          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.38/31.53    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.38/31.53          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.38/31.53    (14)   ~ (e3 = e2)
% 194.38/31.53    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.53            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.53    (16)   ~ (all_52_13 = all_14_2)
% 194.38/31.53    (17)  op(e3, e2) = all_52_4
% 194.38/31.53    (18)  op(e2, e2) = e3
% 194.38/31.53    (19)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.38/31.53    (20)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.38/31.53          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.38/31.53    (21)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.38/31.53          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.38/31.53    (22)   ~ (all_52_9 = e3)
% 194.38/31.53    (23)  all_54_12 = all_52_3
% 194.38/31.53    (24)   ~ (all_52_4 = e2)
% 194.38/31.53    (25)  op(e0, e3) = all_52_3
% 194.38/31.53    (26)  op(e2, e0) = all_52_13
% 194.38/31.53    (27)  op(e1, e0) = all_52_14
% 194.38/31.53    (28)   ~ (all_52_12 = e2)
% 194.38/31.53    (29)  all_54_8 = all_52_2
% 194.38/31.53    (30)   ~ (all_52_12 = all_14_2)
% 194.38/31.53    (31)   ~ (all_46_2 = e2) | ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 194.38/31.53            op(e3, e2) = all_46_1 & $i(all_46_0) & $i(all_46_1)) | ( ~ (all_46_1 =
% 194.38/31.53              e0) & op(e3, e2) = all_46_1 & $i(all_46_1))
% 194.38/31.53    (32)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.38/31.53          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.38/31.53    (33)   ~ (all_52_2 = e2)
% 194.38/31.53    (34)   ~ (all_52_14 = all_14_2)
% 194.38/31.53    (35)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.38/31.53    (36)  op(e1, e1) = e0
% 194.38/31.53    (37)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.38/31.53          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.38/31.53    (38)   ~ (all_14_2 = e3)
% 194.38/31.53    (39)  all_46_2 = e2
% 194.38/31.53    (40)   ~ (all_14_2 = e2)
% 194.38/31.53    (41)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.38/31.53    (42)   ~ (all_52_8 = e2)
% 194.38/31.53    (43)  ( ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 & op(e2, e3) = all_4_1 &
% 194.38/31.53            $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e1) & op(e2, e3) = all_4_1
% 194.38/31.53            & $i(all_4_1))
% 194.38/31.53    (44)  op(e3, e3) = e2
% 194.38/31.53    (45)  all_54_15 = all_14_2
% 194.38/31.53    (46)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.38/31.53          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.38/31.53    (47)   ~ (all_52_1 = all_52_13)
% 194.38/31.53    (48)   ~ (all_52_6 = e3)
% 194.38/31.53    (49)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.38/31.53          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.38/31.53    (50)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.38/31.53          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.38/31.53    (51)   ~ (all_52_2 = all_52_6)
% 194.38/31.53    (52)   ~ (e2 = e1)
% 194.38/31.53    (53)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.38/31.53          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.38/31.53    (54)  op(e3, e0) = all_52_12
% 194.38/31.53    (55)   ~ (all_52_2 = all_52_3)
% 194.38/31.53    (56)  op(e2, e1) = all_52_9
% 194.38/31.53    (57)   ~ (all_52_1 = all_52_2)
% 194.38/31.53    (58)   ~ (all_52_1 = all_52_3)
% 194.38/31.53    (59)   ~ (all_40_2 = e3) | ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 &
% 194.38/31.53            op(e2, e3) = all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 =
% 194.38/31.53              e0) & op(e2, e3) = all_40_1 & $i(all_40_1))
% 194.38/31.53    (60)  op(e3, e1) = all_52_8
% 194.38/31.53    (61)   ~ (all_52_9 = all_52_13)
% 194.38/31.53    (62)   ~ (e3 = e1)
% 194.38/31.53    (63)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.38/31.53          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.38/31.53    (64)  op(e2, e3) = all_52_1
% 194.38/31.53  
% 194.38/31.53  Begin of proof
% 194.38/31.53  | 
% 194.38/31.53  | BETA: splitting (35) gives:
% 194.38/31.53  | 
% 194.38/31.53  | Case 1:
% 194.38/31.53  | | 
% 194.38/31.53  | |   (65)  all_54_15 = e2
% 194.38/31.53  | | 
% 194.38/31.53  | | COMBINE_EQS: (45), (65) imply:
% 194.38/31.53  | |   (66)  all_14_2 = e2
% 194.38/31.53  | | 
% 194.38/31.53  | | REDUCE: (40), (66) imply:
% 194.38/31.53  | |   (67)  $false
% 194.38/31.53  | | 
% 194.38/31.53  | | CLOSE: (67) is inconsistent.
% 194.38/31.53  | | 
% 194.38/31.53  | Case 2:
% 194.38/31.53  | | 
% 194.38/31.53  | |   (68)   ~ (all_54_15 = e2)
% 194.38/31.53  | |   (69)  all_54_15 = e1 | all_54_15 = e0
% 194.38/31.53  | | 
% 194.38/31.53  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 194.38/31.53  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 194.38/31.53  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 194.38/31.53  | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 194.38/31.53  | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 194.38/31.53  | |            (58), (59), (60), (61), (62), (63), (64), (69) are inconsistent
% 194.38/31.53  | |            by sub-proof #92.
% 194.38/31.53  | | 
% 194.38/31.53  | End of split
% 194.38/31.53  | 
% 194.38/31.53  End of proof
% 194.38/31.53  
% 194.38/31.53  Sub-proof #92 shows that the following formulas are inconsistent:
% 194.38/31.53  ----------------------------------------------------------------
% 194.38/31.53    (1)   ~ (all_52_4 = e3)
% 194.38/31.53    (2)  op(e1, e3) = all_52_2
% 194.38/31.53    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.38/31.53           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.38/31.53           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.38/31.53                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.38/31.53               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.38/31.53               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.38/31.53           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.38/31.53           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.53               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.38/31.53           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.38/31.53               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.38/31.53           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.38/31.53           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.38/31.53               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.53               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.53               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.53         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.38/31.53           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.38/31.53           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.38/31.53               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.53             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.53         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.38/31.53           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.38/31.53           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.38/31.53                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.38/31.53               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.38/31.53               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.38/31.53           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.38/31.53           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.38/31.53             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.53           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.38/31.53               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.38/31.53           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.38/31.53           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.38/31.53               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.53               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.53               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.53         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.38/31.53           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.38/31.53           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.38/31.53               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.38/31.53             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.53         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.38/31.53           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.38/31.53           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.38/31.53                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.38/31.53               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.53               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.38/31.53           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.38/31.53             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.53               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.53           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.38/31.53               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.38/31.53           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.38/31.53           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.38/31.53               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.53               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.53               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.38/31.53         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.38/31.53           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.38/31.53           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.38/31.53               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.38/31.53             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.38/31.53         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.38/31.53             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.53           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.38/31.53               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.53             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.53         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.38/31.53             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.53           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.38/31.53               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.38/31.53             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.53         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.38/31.53             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.53           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.38/31.53               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.38/31.53             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.53         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.38/31.53             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.53           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.38/31.53               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.38/31.53             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.38/31.53    (4)   ~ (all_52_13 = e3)
% 194.38/31.53    (5)  op(e1, e2) = all_52_6
% 194.38/31.53    (6)  op(e0, e0) = all_14_2
% 194.38/31.53    (7)   ~ (all_52_3 = e2)
% 194.38/31.53    (8)  ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3, e2) = all_12_1
% 194.38/31.53           & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e1) & op(e3, e2) =
% 194.38/31.53           all_12_1 & $i(all_12_1))
% 194.38/31.53    (9)   ~ (all_14_2 = e1)
% 194.38/31.53    (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.38/31.53          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.38/31.53    (11)  all_40_2 = e3
% 194.38/31.53    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.38/31.53          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.38/31.53    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.38/31.53          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.38/31.53    (14)   ~ (e3 = e2)
% 194.38/31.53    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.53            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.53    (16)   ~ (all_52_13 = all_14_2)
% 194.38/31.53    (17)  op(e3, e2) = all_52_4
% 194.38/31.53    (18)  op(e2, e2) = e3
% 194.38/31.53    (19)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.38/31.53    (20)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.38/31.53          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.38/31.53    (21)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.38/31.53          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.38/31.53    (22)   ~ (all_52_9 = e3)
% 194.38/31.53    (23)  all_54_12 = all_52_3
% 194.38/31.53    (24)   ~ (all_52_4 = e2)
% 194.38/31.53    (25)  op(e0, e3) = all_52_3
% 194.38/31.53    (26)  op(e2, e0) = all_52_13
% 194.38/31.53    (27)  op(e1, e0) = all_52_14
% 194.38/31.53    (28)   ~ (all_52_12 = e2)
% 194.38/31.53    (29)  all_54_8 = all_52_2
% 194.38/31.53    (30)   ~ (all_52_12 = all_14_2)
% 194.38/31.53    (31)   ~ (all_46_2 = e2) | ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 194.38/31.53            op(e3, e2) = all_46_1 & $i(all_46_0) & $i(all_46_1)) | ( ~ (all_46_1 =
% 194.38/31.53              e0) & op(e3, e2) = all_46_1 & $i(all_46_1))
% 194.38/31.53    (32)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.38/31.53          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.38/31.53    (33)   ~ (all_52_2 = e2)
% 194.38/31.53    (34)   ~ (all_52_14 = all_14_2)
% 194.38/31.53    (35)  op(e1, e1) = e0
% 194.38/31.53    (36)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.38/31.53          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.38/31.53    (37)   ~ (all_14_2 = e3)
% 194.38/31.53    (38)  all_46_2 = e2
% 194.38/31.53    (39)   ~ (all_14_2 = e2)
% 194.38/31.53    (40)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.38/31.53    (41)   ~ (all_52_8 = e2)
% 194.38/31.53    (42)  ( ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 & op(e2, e3) = all_4_1 &
% 194.38/31.53            $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e1) & op(e2, e3) = all_4_1
% 194.38/31.53            & $i(all_4_1))
% 194.38/31.53    (43)  op(e3, e3) = e2
% 194.38/31.53    (44)  all_54_15 = all_14_2
% 194.38/31.53    (45)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.38/31.53          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.38/31.53    (46)   ~ (all_52_1 = all_52_13)
% 194.38/31.53    (47)   ~ (all_52_6 = e3)
% 194.38/31.53    (48)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.38/31.53          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.38/31.53    (49)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.38/31.53          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.38/31.53    (50)   ~ (all_52_2 = all_52_6)
% 194.38/31.53    (51)   ~ (e2 = e1)
% 194.38/31.54    (52)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.38/31.54          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.38/31.54    (53)  op(e3, e0) = all_52_12
% 194.38/31.54    (54)   ~ (all_52_2 = all_52_3)
% 194.38/31.54    (55)  op(e2, e1) = all_52_9
% 194.38/31.54    (56)   ~ (all_52_1 = all_52_2)
% 194.38/31.54    (57)   ~ (all_52_1 = all_52_3)
% 194.38/31.54    (58)   ~ (all_40_2 = e3) | ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 &
% 194.38/31.54            op(e2, e3) = all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 =
% 194.38/31.54              e0) & op(e2, e3) = all_40_1 & $i(all_40_1))
% 194.38/31.54    (59)  op(e3, e1) = all_52_8
% 194.38/31.54    (60)   ~ (all_52_9 = all_52_13)
% 194.38/31.54    (61)   ~ (e3 = e1)
% 194.38/31.54    (62)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.38/31.54          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.38/31.54    (63)  all_54_15 = e1 | all_54_15 = e0
% 194.38/31.54    (64)  op(e2, e3) = all_52_1
% 194.38/31.54  
% 194.38/31.54  Begin of proof
% 194.38/31.54  | 
% 194.38/31.54  | BETA: splitting (63) gives:
% 194.38/31.54  | 
% 194.38/31.54  | Case 1:
% 194.38/31.54  | | 
% 194.38/31.54  | |   (65)  all_54_15 = e1
% 194.38/31.54  | | 
% 194.38/31.54  | | COMBINE_EQS: (44), (65) imply:
% 194.38/31.54  | |   (66)  all_14_2 = e1
% 194.38/31.54  | | 
% 194.38/31.54  | | REDUCE: (9), (66) imply:
% 194.38/31.54  | |   (67)  $false
% 194.38/31.54  | | 
% 194.38/31.54  | | CLOSE: (67) is inconsistent.
% 194.38/31.54  | | 
% 194.38/31.54  | Case 2:
% 194.38/31.54  | | 
% 194.38/31.54  | |   (68)  all_54_15 = e0
% 194.38/31.54  | | 
% 194.38/31.54  | | COMBINE_EQS: (44), (68) imply:
% 194.38/31.54  | |   (69)  all_14_2 = e0
% 194.38/31.54  | | 
% 194.38/31.54  | | REDUCE: (30), (69) imply:
% 194.38/31.54  | |   (70)   ~ (all_52_12 = e0)
% 194.38/31.54  | | 
% 194.38/31.54  | | REDUCE: (16), (69) imply:
% 194.38/31.54  | |   (71)   ~ (all_52_13 = e0)
% 194.38/31.54  | | 
% 194.38/31.54  | | REDUCE: (34), (69) imply:
% 194.38/31.54  | |   (72)   ~ (all_52_14 = e0)
% 194.38/31.54  | | 
% 194.38/31.54  | | REDUCE: (37), (69) imply:
% 194.38/31.54  | |   (73)   ~ (e3 = e0)
% 194.38/31.54  | | 
% 194.38/31.54  | | SIMP: (73) implies:
% 194.38/31.54  | |   (74)   ~ (e3 = e0)
% 194.38/31.54  | | 
% 194.38/31.54  | | REDUCE: (39), (69) imply:
% 194.38/31.54  | |   (75)   ~ (e2 = e0)
% 194.38/31.54  | | 
% 194.38/31.54  | | SIMP: (75) implies:
% 194.38/31.54  | |   (76)   ~ (e2 = e0)
% 194.38/31.54  | | 
% 194.38/31.54  | | REDUCE: (9), (69) imply:
% 194.38/31.54  | |   (77)   ~ (e1 = e0)
% 194.38/31.54  | | 
% 194.38/31.54  | | SIMP: (77) implies:
% 194.38/31.54  | |   (78)   ~ (e1 = e0)
% 194.38/31.54  | | 
% 194.38/31.54  | | REDUCE: (6), (69) imply:
% 194.38/31.54  | |   (79)  op(e0, e0) = e0
% 194.38/31.54  | | 
% 194.38/31.54  | | BETA: splitting (10) gives:
% 194.38/31.54  | | 
% 194.38/31.54  | | Case 1:
% 194.38/31.54  | | | 
% 194.38/31.54  | | |   (80)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 194.38/31.54  | | |           e0)
% 194.38/31.54  | | | 
% 194.38/31.54  | | | BETA: splitting (80) gives:
% 194.38/31.54  | | | 
% 194.38/31.54  | | | Case 1:
% 194.38/31.54  | | | | 
% 194.38/31.54  | | | |   (81)  all_56_2 = e0 & op(e2, e3) = e0
% 194.38/31.54  | | | | 
% 194.38/31.54  | | | | ALPHA: (81) implies:
% 194.38/31.54  | | | |   (82)  all_56_2 = e0
% 194.38/31.54  | | | |   (83)  op(e2, e3) = e0
% 194.38/31.54  | | | | 
% 194.38/31.54  | | | | BETA: splitting (45) gives:
% 194.38/31.54  | | | | 
% 194.38/31.54  | | | | Case 1:
% 194.38/31.54  | | | | | 
% 194.38/31.54  | | | | |   (84)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3,
% 194.38/31.54  | | | | |             e2) = e0)
% 194.38/31.54  | | | | | 
% 194.38/31.54  | | | | | BETA: splitting (84) gives:
% 194.38/31.54  | | | | | 
% 194.38/31.54  | | | | | Case 1:
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | |   (85)  all_56_0 = e0 & op(e3, e3) = e0
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | ALPHA: (85) implies:
% 194.38/31.54  | | | | | |   (86)  op(e3, e3) = e0
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | REF_CLOSE: (15), (43), (76), (86) are inconsistent by sub-proof
% 194.38/31.54  | | | | | |            #833.
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | Case 2:
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | |   (87)  all_56_1 = e0 & op(e3, e2) = e0
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | ALPHA: (87) implies:
% 194.38/31.54  | | | | | |   (88)  all_56_1 = e0
% 194.38/31.54  | | | | | |   (89)  op(e3, e2) = e0
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | GROUND_INST: instantiating (15) with all_52_1, e0, e3, e2,
% 194.38/31.54  | | | | | |              simplifying with (64), (83) gives:
% 194.38/31.54  | | | | | |   (90)  all_52_1 = e0
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | GROUND_INST: instantiating (15) with all_52_4, e0, e2, e3,
% 194.38/31.54  | | | | | |              simplifying with (17), (89) gives:
% 194.38/31.54  | | | | | |   (91)  all_52_4 = e0
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | REDUCE: (56), (90) imply:
% 194.38/31.54  | | | | | |   (92)   ~ (all_52_2 = e0)
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | SIMP: (92) implies:
% 194.38/31.54  | | | | | |   (93)   ~ (all_52_2 = e0)
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | REDUCE: (57), (90) imply:
% 194.38/31.54  | | | | | |   (94)   ~ (all_52_3 = e0)
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | SIMP: (94) implies:
% 194.38/31.54  | | | | | |   (95)   ~ (all_52_3 = e0)
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | REDUCE: (46), (90) imply:
% 194.38/31.54  | | | | | |   (96)   ~ (all_52_13 = e0)
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | BETA: splitting (58) gives:
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | | Case 1:
% 194.38/31.54  | | | | | | | 
% 194.38/31.54  | | | | | | |   (97)   ~ (all_40_2 = e3)
% 194.38/31.54  | | | | | | | 
% 194.38/31.54  | | | | | | | REDUCE: (11), (97) imply:
% 194.38/31.54  | | | | | | |   (98)  $false
% 194.38/31.54  | | | | | | | 
% 194.38/31.54  | | | | | | | CLOSE: (98) is inconsistent.
% 194.38/31.54  | | | | | | | 
% 194.38/31.54  | | | | | | Case 2:
% 194.38/31.54  | | | | | | | 
% 194.38/31.54  | | | | | | |   (99)  ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 & op(e2,
% 194.38/31.54  | | | | | | |             e3) = all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~
% 194.38/31.54  | | | | | | |           (all_40_1 = e0) & op(e2, e3) = all_40_1 & $i(all_40_1))
% 194.38/31.54  | | | | | | | 
% 194.38/31.54  | | | | | | | BETA: splitting (31) gives:
% 194.38/31.54  | | | | | | | 
% 194.38/31.54  | | | | | | | Case 1:
% 194.38/31.54  | | | | | | | | 
% 194.38/31.54  | | | | | | | |   (100)   ~ (all_46_2 = e2)
% 194.38/31.54  | | | | | | | | 
% 194.38/31.54  | | | | | | | | REDUCE: (38), (100) imply:
% 194.38/31.54  | | | | | | | |   (101)  $false
% 194.38/31.54  | | | | | | | | 
% 194.38/31.54  | | | | | | | | CLOSE: (101) is inconsistent.
% 194.38/31.54  | | | | | | | | 
% 194.38/31.54  | | | | | | | Case 2:
% 194.38/31.54  | | | | | | | | 
% 194.38/31.54  | | | | | | | |   (102)  ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 194.38/31.54  | | | | | | | |            op(e3, e2) = all_46_1 & $i(all_46_0) & $i(all_46_1))
% 194.38/31.54  | | | | | | | |          | ( ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 194.38/31.54  | | | | | | | |            $i(all_46_1))
% 194.38/31.54  | | | | | | | | 
% 194.38/31.54  | | | | | | | | BETA: splitting (102) gives:
% 194.38/31.54  | | | | | | | | 
% 194.38/31.54  | | | | | | | | Case 1:
% 194.38/31.54  | | | | | | | | | 
% 194.38/31.54  | | | | | | | | |   (103)   ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 194.38/31.54  | | | | | | | | |          op(e3, e2) = all_46_1 & $i(all_46_0) & $i(all_46_1)
% 194.38/31.54  | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | ALPHA: (103) implies:
% 194.38/31.54  | | | | | | | | |   (104)   ~ (all_46_0 = e1)
% 194.38/31.54  | | | | | | | | |   (105)  op(e3, e2) = all_46_1
% 194.38/31.54  | | | | | | | | |   (106)  op(all_46_1, e3) = all_46_0
% 194.38/31.54  | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | BETA: splitting (42) gives:
% 194.38/31.54  | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | Case 1:
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | |   (107)   ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 &
% 194.38/31.54  | | | | | | | | | |          op(e2, e3) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | | ALPHA: (107) implies:
% 194.38/31.54  | | | | | | | | | |   (108)  op(e2, e3) = all_4_1
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | | GROUND_INST: instantiating (15) with e0, all_4_1, e3, e2,
% 194.38/31.54  | | | | | | | | | |              simplifying with (83), (108) gives:
% 194.38/31.54  | | | | | | | | | |   (109)  all_4_1 = e0
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | | GROUND_INST: instantiating (15) with e0, all_46_1, e2, e3,
% 194.38/31.54  | | | | | | | | | |              simplifying with (89), (105) gives:
% 194.38/31.54  | | | | | | | | | |   (110)  all_46_1 = e0
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (12), (13), (15),
% 194.38/31.54  | | | | | | | | | |            (17), (18), (19), (20), (22), (23), (24), (25),
% 194.38/31.54  | | | | | | | | | |            (26), (27), (28), (29), (32), (33), (35), (36),
% 194.38/31.54  | | | | | | | | | |            (40), (41), (43), (47), (48), (49), (50), (51),
% 194.38/31.54  | | | | | | | | | |            (52), (53), (54), (55), (59), (60), (62), (71),
% 194.38/31.54  | | | | | | | | | |            (72), (76), (78), (79), (82), (88), (93), (95),
% 194.38/31.54  | | | | | | | | | |            (99), (104), (106), (108), (109), (110) are
% 194.38/31.54  | | | | | | | | | |            inconsistent by sub-proof #93.
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | Case 2:
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | |   (111)   ~ (all_4_1 = e1) & op(e2, e3) = all_4_1 &
% 194.38/31.54  | | | | | | | | | |          $i(all_4_1)
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | | ALPHA: (111) implies:
% 194.38/31.54  | | | | | | | | | |   (112)   ~ (all_4_1 = e1)
% 194.38/31.54  | | | | | | | | | |   (113)  op(e2, e3) = all_4_1
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | | GROUND_INST: instantiating (15) with e0, all_4_1, e3, e2,
% 194.38/31.54  | | | | | | | | | |              simplifying with (83), (113) gives:
% 194.38/31.54  | | | | | | | | | |   (114)  all_4_1 = e0
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | | GROUND_INST: instantiating (15) with e0, all_46_1, e2, e3,
% 194.38/31.54  | | | | | | | | | |              simplifying with (89), (105) gives:
% 194.38/31.54  | | | | | | | | | |   (115)  all_46_1 = e0
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (12), (13), (15),
% 194.38/31.54  | | | | | | | | | |            (17), (18), (19), (20), (22), (23), (24), (25),
% 194.38/31.54  | | | | | | | | | |            (26), (27), (28), (29), (32), (33), (35), (36),
% 194.38/31.54  | | | | | | | | | |            (40), (41), (43), (47), (48), (49), (50), (51),
% 194.38/31.54  | | | | | | | | | |            (52), (53), (54), (55), (59), (60), (62), (71),
% 194.38/31.54  | | | | | | | | | |            (72), (76), (78), (79), (82), (88), (93), (95),
% 194.38/31.54  | | | | | | | | | |            (99), (104), (106), (113), (114), (115) are
% 194.38/31.54  | | | | | | | | | |            inconsistent by sub-proof #93.
% 194.38/31.54  | | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | End of split
% 194.38/31.54  | | | | | | | | | 
% 194.38/31.54  | | | | | | | | Case 2:
% 194.38/31.54  | | | | | | | | | 
% 194.38/31.54  | | | | | | | | |   (116)   ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 194.38/31.54  | | | | | | | | |          $i(all_46_1)
% 194.38/31.54  | | | | | | | | | 
% 194.38/31.54  | | | | | | | | | REF_CLOSE: (8), (15), (89), (116) are inconsistent by
% 194.38/31.54  | | | | | | | | |            sub-proof #764.
% 194.38/31.54  | | | | | | | | | 
% 194.38/31.54  | | | | | | | | End of split
% 194.38/31.54  | | | | | | | | 
% 194.38/31.54  | | | | | | | End of split
% 194.38/31.54  | | | | | | | 
% 194.38/31.54  | | | | | | End of split
% 194.38/31.54  | | | | | | 
% 194.38/31.54  | | | | | End of split
% 194.38/31.54  | | | | | 
% 194.38/31.54  | | | | Case 2:
% 194.38/31.54  | | | | | 
% 194.38/31.54  | | | | |   (117)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 194.38/31.54  | | | | |              e0) = e0)
% 194.38/31.54  | | | | | 
% 194.38/31.54  | | | | | REF_CLOSE: (14), (15), (20), (21), (35), (49), (51), (53), (61), (70),
% 194.38/31.54  | | | | |            (74), (76), (78), (117) are inconsistent by sub-proof
% 194.38/31.54  | | | | |            #1639.
% 194.38/31.54  | | | | | 
% 194.38/31.54  | | | | End of split
% 194.38/31.54  | | | | 
% 194.38/31.54  | | | Case 2:
% 194.38/31.54  | | | | 
% 194.38/31.54  | | | |   (118)  all_56_3 = e0 & op(e2, e2) = e0
% 194.38/31.54  | | | | 
% 194.38/31.54  | | | | ALPHA: (118) implies:
% 194.38/31.54  | | | |   (119)  op(e2, e2) = e0
% 194.38/31.54  | | | | 
% 194.38/31.54  | | | | REF_CLOSE: (15), (18), (74), (119) are inconsistent by sub-proof #202.
% 194.38/31.54  | | | | 
% 194.38/31.54  | | | End of split
% 194.38/31.54  | | | 
% 194.38/31.54  | | Case 2:
% 194.38/31.54  | | | 
% 194.38/31.54  | | |   (120)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0)
% 194.38/31.54  | | |            = e0)
% 194.38/31.54  | | | 
% 194.38/31.54  | | | REF_CLOSE: (14), (15), (20), (21), (26), (35), (49), (51), (61), (71),
% 194.38/31.54  | | |            (74), (76), (78), (120) are inconsistent by sub-proof #751.
% 194.38/31.54  | | | 
% 194.38/31.54  | | End of split
% 194.38/31.54  | | 
% 194.38/31.54  | End of split
% 194.38/31.54  | 
% 194.38/31.54  End of proof
% 194.38/31.54  
% 194.38/31.54  Sub-proof #93 shows that the following formulas are inconsistent:
% 194.38/31.54  ----------------------------------------------------------------
% 194.38/31.54    (1)   ~ (all_52_4 = e3)
% 194.38/31.54    (2)  op(all_46_1, e3) = all_46_0
% 194.38/31.54    (3)  op(e1, e3) = all_52_2
% 194.38/31.54    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.38/31.54           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.38/31.54           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.38/31.54                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.38/31.54               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.38/31.54               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.38/31.54           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.38/31.54           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.54               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.38/31.54           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.38/31.54               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.38/31.54           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.38/31.54           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.38/31.54               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.54               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.54               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.54         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.38/31.54           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.38/31.54           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.38/31.54               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.54             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.54         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.38/31.54           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.38/31.54           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.38/31.54                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.38/31.54               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.38/31.54               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.38/31.54           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.38/31.54           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.38/31.54             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.54           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.38/31.54               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.38/31.54           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.38/31.54           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.38/31.54               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.54               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.54               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.54         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.38/31.54           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.38/31.54           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.38/31.54               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.38/31.54             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.54         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.38/31.54           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.38/31.54           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.38/31.54                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.38/31.54               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.54               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.38/31.54           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.38/31.54             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.54               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.54           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.38/31.54               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.38/31.54           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.38/31.54           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.38/31.54               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.54               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.54               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.38/31.54         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.38/31.54           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.38/31.54           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.38/31.54               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.38/31.54             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.38/31.54         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.38/31.54             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.54           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.38/31.54               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.54             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.54         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.38/31.54             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.54           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.38/31.54               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.38/31.54             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.54         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.38/31.54             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.54           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.38/31.54               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.38/31.54             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.54         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.38/31.54             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.54           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.38/31.54               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.38/31.54             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.38/31.54    (5)   ~ (all_52_13 = e3)
% 194.38/31.54    (6)  op(e1, e2) = all_52_6
% 194.38/31.54    (7)  all_4_1 = e0
% 194.38/31.54    (8)   ~ (all_52_14 = e0)
% 194.38/31.54    (9)   ~ (all_52_3 = e2)
% 194.38/31.54    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.38/31.54          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.38/31.54    (11)   ~ (all_52_2 = e0)
% 194.38/31.54    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.38/31.54          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.38/31.54    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.54            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.54    (14)  op(e3, e2) = all_52_4
% 194.38/31.54    (15)  op(e2, e2) = e3
% 194.38/31.54    (16)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.38/31.54    (17)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.38/31.54          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.38/31.54    (18)   ~ (all_52_9 = e3)
% 194.38/31.54    (19)  all_54_12 = all_52_3
% 194.38/31.54    (20)   ~ (all_52_4 = e2)
% 194.38/31.54    (21)   ~ (all_46_0 = e1)
% 194.38/31.54    (22)  op(e0, e3) = all_52_3
% 194.38/31.54    (23)  op(e2, e0) = all_52_13
% 194.38/31.54    (24)  op(e1, e0) = all_52_14
% 194.38/31.54    (25)   ~ (all_52_12 = e2)
% 194.38/31.54    (26)  all_54_8 = all_52_2
% 194.38/31.54    (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.38/31.54          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.38/31.54    (28)   ~ (all_52_2 = e2)
% 194.38/31.54    (29)  all_56_1 = e0
% 194.38/31.54    (30)  op(e1, e1) = e0
% 194.38/31.54    (31)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.38/31.54          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.38/31.54    (32)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.38/31.54    (33)   ~ (all_52_8 = e2)
% 194.38/31.54    (34)  op(e3, e3) = e2
% 194.38/31.54    (35)   ~ (e1 = e0)
% 194.38/31.54    (36)   ~ (all_52_6 = e3)
% 194.38/31.54    (37)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.38/31.54          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.38/31.54    (38)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.38/31.54          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.38/31.54    (39)   ~ (all_52_2 = all_52_6)
% 194.38/31.54    (40)   ~ (e2 = e1)
% 194.38/31.54    (41)   ~ (all_52_3 = e0)
% 194.38/31.54    (42)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.38/31.54          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.38/31.54    (43)  op(e3, e0) = all_52_12
% 194.38/31.54    (44)  all_56_2 = e0
% 194.38/31.54    (45)   ~ (all_52_2 = all_52_3)
% 194.38/31.54    (46)  op(e2, e1) = all_52_9
% 194.38/31.54    (47)  op(e0, e0) = e0
% 194.38/31.54    (48)  all_46_1 = e0
% 194.38/31.54    (49)   ~ (all_52_13 = e0)
% 194.38/31.54    (50)  op(e2, e3) = all_4_1
% 194.38/31.54    (51)  op(e3, e1) = all_52_8
% 194.38/31.54    (52)   ~ (all_52_9 = all_52_13)
% 194.38/31.54    (53)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.38/31.54          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.38/31.54    (54)   ~ (e2 = e0)
% 194.38/31.54    (55)  ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 & op(e2, e3) =
% 194.38/31.54            all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 = e0) & op(e2,
% 194.38/31.54              e3) = all_40_1 & $i(all_40_1))
% 194.38/31.54  
% 194.38/31.54  Begin of proof
% 194.38/31.54  | 
% 194.38/31.54  | REDUCE: (2), (48) imply:
% 194.38/31.54  |   (56)  op(e0, e3) = all_46_0
% 194.38/31.54  | 
% 194.38/31.54  | REDUCE: (7), (50) imply:
% 194.38/31.54  |   (57)  op(e2, e3) = e0
% 194.38/31.54  | 
% 194.38/31.54  | BETA: splitting (55) gives:
% 194.38/31.54  | 
% 194.38/31.54  | Case 1:
% 194.38/31.54  | | 
% 194.38/31.54  | |   (58)   ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 & op(e2, e3) =
% 194.38/31.54  | |         all_40_1 & $i(all_40_0) & $i(all_40_1)
% 194.38/31.54  | | 
% 194.38/31.54  | | ALPHA: (58) implies:
% 194.38/31.54  | |   (59)  op(e2, e3) = all_40_1
% 194.38/31.54  | | 
% 194.38/31.54  | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 194.38/31.54  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 194.38/31.54  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 194.38/31.54  | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 194.38/31.54  | |            (49), (51), (52), (53), (54), (56), (57), (59) are inconsistent
% 194.38/31.54  | |            by sub-proof #94.
% 194.38/31.54  | | 
% 194.38/31.54  | Case 2:
% 194.38/31.54  | | 
% 194.38/31.54  | |   (60)   ~ (all_40_1 = e0) & op(e2, e3) = all_40_1 & $i(all_40_1)
% 194.38/31.54  | | 
% 194.38/31.54  | | ALPHA: (60) implies:
% 194.38/31.54  | |   (61)  op(e2, e3) = all_40_1
% 194.38/31.54  | | 
% 194.38/31.54  | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 194.38/31.54  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 194.38/31.54  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 194.38/31.54  | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 194.38/31.54  | |            (49), (51), (52), (53), (54), (56), (57), (61) are inconsistent
% 194.38/31.54  | |            by sub-proof #94.
% 194.38/31.54  | | 
% 194.38/31.54  | End of split
% 194.38/31.54  | 
% 194.38/31.54  End of proof
% 194.38/31.54  
% 194.38/31.54  Sub-proof #94 shows that the following formulas are inconsistent:
% 194.38/31.54  ----------------------------------------------------------------
% 194.38/31.54    (1)  op(e2, e3) = all_40_1
% 194.38/31.54    (2)   ~ (all_52_4 = e3)
% 194.38/31.54    (3)  op(e1, e3) = all_52_2
% 194.38/31.55    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.38/31.55           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.38/31.55           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.38/31.55                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.38/31.55               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.38/31.55               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.38/31.55           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.38/31.55           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.55               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.38/31.55           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.38/31.55               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.38/31.55           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.38/31.55           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.38/31.55               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.55               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.55               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.55         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.38/31.55           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.38/31.55           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.38/31.55               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.55             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.55         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.38/31.55           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.38/31.55           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.38/31.55                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.38/31.55               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.38/31.55               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.38/31.55           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.38/31.55           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.38/31.55             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.55           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.38/31.55               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.38/31.55           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.38/31.55           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.38/31.55               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.55               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.55               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.55         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.38/31.55           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.38/31.55           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.38/31.55               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.38/31.55             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.55         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.38/31.55           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.38/31.55           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.38/31.55                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.38/31.55               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.55               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.38/31.55           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.38/31.55             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.55               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.55           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.38/31.55               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.38/31.55           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.38/31.55           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.38/31.55               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.55               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.55               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.38/31.55         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.38/31.55           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.38/31.55           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.38/31.55               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.38/31.55             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.38/31.55         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.38/31.55             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.55           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.38/31.55               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.55             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.55         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.38/31.55             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.55           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.38/31.55               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.38/31.55             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.55         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.38/31.55             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.55           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.38/31.55               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.38/31.55             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.55         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.38/31.55             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.55           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.38/31.55               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.38/31.55             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.38/31.55    (5)   ~ (all_52_13 = e3)
% 194.38/31.55    (6)  op(e1, e2) = all_52_6
% 194.38/31.55    (7)  op(e2, e3) = e0
% 194.38/31.55    (8)   ~ (all_52_14 = e0)
% 194.38/31.55    (9)   ~ (all_52_3 = e2)
% 194.38/31.55    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.38/31.55          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.38/31.55    (11)   ~ (all_52_2 = e0)
% 194.38/31.55    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.38/31.55          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.38/31.55    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.55            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.55    (14)  op(e3, e2) = all_52_4
% 194.38/31.55    (15)  op(e2, e2) = e3
% 194.38/31.55    (16)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.38/31.55    (17)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.38/31.55          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.38/31.55    (18)   ~ (all_52_9 = e3)
% 194.38/31.55    (19)  all_54_12 = all_52_3
% 194.38/31.55    (20)   ~ (all_52_4 = e2)
% 194.38/31.55    (21)   ~ (all_46_0 = e1)
% 194.38/31.55    (22)  op(e0, e3) = all_52_3
% 194.38/31.55    (23)  op(e2, e0) = all_52_13
% 194.38/31.55    (24)  op(e1, e0) = all_52_14
% 194.38/31.55    (25)   ~ (all_52_12 = e2)
% 194.38/31.55    (26)  all_54_8 = all_52_2
% 194.38/31.55    (27)  op(e0, e3) = all_46_0
% 194.38/31.55    (28)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.38/31.55          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.38/31.55    (29)   ~ (all_52_2 = e2)
% 194.38/31.55    (30)  all_56_1 = e0
% 194.38/31.55    (31)  op(e1, e1) = e0
% 194.38/31.55    (32)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.38/31.55          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.38/31.55    (33)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.38/31.55    (34)   ~ (all_52_8 = e2)
% 194.38/31.55    (35)  op(e3, e3) = e2
% 194.38/31.55    (36)   ~ (e1 = e0)
% 194.38/31.55    (37)   ~ (all_52_6 = e3)
% 194.38/31.55    (38)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.38/31.55          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.38/31.55    (39)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.38/31.55          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.38/31.55    (40)   ~ (all_52_2 = all_52_6)
% 194.38/31.55    (41)   ~ (e2 = e1)
% 194.38/31.55    (42)   ~ (all_52_3 = e0)
% 194.38/31.55    (43)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.38/31.55          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.38/31.55    (44)  op(e3, e0) = all_52_12
% 194.38/31.55    (45)  all_56_2 = e0
% 194.38/31.55    (46)   ~ (all_52_2 = all_52_3)
% 194.38/31.55    (47)  op(e2, e1) = all_52_9
% 194.38/31.55    (48)  op(e0, e0) = e0
% 194.38/31.55    (49)   ~ (all_52_13 = e0)
% 194.38/31.55    (50)  op(e3, e1) = all_52_8
% 194.38/31.55    (51)   ~ (all_52_9 = all_52_13)
% 194.38/31.55    (52)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.38/31.55          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.38/31.55    (53)   ~ (e2 = e0)
% 194.38/31.55  
% 194.38/31.55  Begin of proof
% 194.38/31.55  | 
% 194.38/31.55  | GROUND_INST: instantiating (13) with all_52_3, all_46_0, e3, e0, simplifying
% 194.38/31.55  |              with (22), (27) gives:
% 194.38/31.55  |   (54)  all_52_3 = all_46_0
% 194.38/31.55  | 
% 194.38/31.55  | GROUND_INST: instantiating (13) with e0, all_40_1, e3, e2, simplifying with
% 194.38/31.55  |              (1), (7) gives:
% 194.38/31.55  |   (55)  all_40_1 = e0
% 194.38/31.55  | 
% 194.38/31.55  | COMBINE_EQS: (19), (54) imply:
% 194.38/31.55  |   (56)  all_54_12 = all_46_0
% 194.38/31.55  | 
% 194.38/31.55  | REDUCE: (46), (54) imply:
% 194.38/31.55  |   (57)   ~ (all_52_2 = all_46_0)
% 194.38/31.55  | 
% 194.38/31.55  | REDUCE: (9), (54) imply:
% 194.38/31.55  |   (58)   ~ (all_46_0 = e2)
% 194.38/31.55  | 
% 194.38/31.55  | REDUCE: (42), (54) imply:
% 194.38/31.55  |   (59)   ~ (all_46_0 = e0)
% 194.38/31.55  | 
% 194.38/31.55  | BETA: splitting (16) gives:
% 194.38/31.55  | 
% 194.38/31.55  | Case 1:
% 194.38/31.55  | | 
% 194.38/31.55  | |   (60)  all_54_12 = e3
% 194.38/31.55  | | 
% 194.38/31.55  | | COMBINE_EQS: (56), (60) imply:
% 194.38/31.55  | |   (61)  all_46_0 = e3
% 194.38/31.55  | | 
% 194.38/31.55  | | REDUCE: (57), (61) imply:
% 194.38/31.55  | |   (62)   ~ (all_52_2 = e3)
% 194.38/31.55  | | 
% 194.38/31.55  | | REDUCE: (58), (61) imply:
% 194.38/31.55  | |   (63)   ~ (e3 = e2)
% 194.38/31.55  | | 
% 194.38/31.55  | | REDUCE: (21), (61) imply:
% 194.38/31.55  | |   (64)   ~ (e3 = e1)
% 194.38/31.55  | | 
% 194.38/31.55  | | REDUCE: (59), (61) imply:
% 194.38/31.55  | |   (65)   ~ (e3 = e0)
% 194.38/31.55  | | 
% 194.38/31.55  | | BETA: splitting (38) gives:
% 194.38/31.55  | | 
% 194.38/31.55  | | Case 1:
% 194.38/31.55  | | | 
% 194.38/31.55  | | |   (66)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 194.38/31.55  | | |           e3)
% 194.38/31.55  | | | 
% 194.38/31.55  | | | BETA: splitting (66) gives:
% 194.38/31.55  | | | 
% 194.38/31.55  | | | Case 1:
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | |   (67)  all_56_0 = e3 & op(e3, e3) = e3
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | | ALPHA: (67) implies:
% 194.38/31.55  | | | |   (68)  op(e3, e3) = e3
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | | REF_CLOSE: (13), (25), (28), (30), (34), (44), (50), (53), (63), (68)
% 194.38/31.55  | | | |            are inconsistent by sub-proof #98.
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | Case 2:
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | |   (69)  all_56_2 = e3 & op(e2, e3) = e3
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | | ALPHA: (69) implies:
% 194.38/31.55  | | | |   (70)  op(e2, e3) = e3
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | | REF_CLOSE: (7), (13), (65), (70) are inconsistent by sub-proof #420.
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | End of split
% 194.38/31.55  | | | 
% 194.38/31.55  | | Case 2:
% 194.38/31.55  | | | 
% 194.38/31.55  | | |   (71)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 194.38/31.55  | | |           e3)
% 194.38/31.55  | | | 
% 194.38/31.55  | | | BETA: splitting (71) gives:
% 194.38/31.55  | | | 
% 194.38/31.55  | | | Case 1:
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | |   (72)  all_56_6 = e3 & op(e1, e3) = e3
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | | ALPHA: (72) implies:
% 194.38/31.55  | | | |   (73)  op(e1, e3) = e3
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | | REF_CLOSE: (3), (13), (62), (73) are inconsistent by sub-proof #1179.
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | Case 2:
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | |   (74)  all_56_12 = e3 & op(e0, e3) = e3
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | | ALPHA: (74) implies:
% 194.38/31.55  | | | |   (75)  all_56_12 = e3
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | | BETA: splitting (39) gives:
% 194.38/31.55  | | | | 
% 194.38/31.55  | | | | Case 1:
% 194.38/31.55  | | | | | 
% 194.38/31.55  | | | | |   (76)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2,
% 194.38/31.55  | | | | |             e1) = e3)
% 194.38/31.55  | | | | | 
% 194.38/31.55  | | | | | BETA: splitting (76) gives:
% 194.38/31.55  | | | | | 
% 194.38/31.55  | | | | | Case 1:
% 194.38/31.55  | | | | | | 
% 194.38/31.55  | | | | | |   (77)  all_56_4 = e3 & op(e3, e1) = e3
% 194.38/31.55  | | | | | | 
% 194.38/31.55  | | | | | | ALPHA: (77) implies:
% 194.38/31.55  | | | | | |   (78)  op(e3, e1) = e3
% 194.38/31.55  | | | | | | 
% 194.38/31.55  | | | | | | BETA: splitting (52) gives:
% 194.38/31.55  | | | | | | 
% 194.38/31.55  | | | | | | Case 1:
% 194.38/31.55  | | | | | | | 
% 194.38/31.55  | | | | | | |   (79)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 &
% 194.38/31.55  | | | | | | |           op(e1, e2) = e3)
% 194.38/31.55  | | | | | | | 
% 194.38/31.55  | | | | | | | REF_CLOSE: (3), (6), (13), (37), (62), (79) are inconsistent by
% 194.38/31.55  | | | | | | |            sub-proof #222.
% 194.38/31.55  | | | | | | | 
% 194.38/31.55  | | | | | | Case 2:
% 194.38/31.55  | | | | | | | 
% 194.38/31.55  | | | | | | |   (80)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 &
% 194.38/31.55  | | | | | | |           op(e1, e0) = e3)
% 194.38/31.55  | | | | | | | 
% 194.38/31.55  | | | | | | | BETA: splitting (80) gives:
% 194.38/31.55  | | | | | | | 
% 194.38/31.55  | | | | | | | Case 1:
% 194.38/31.55  | | | | | | | | 
% 194.38/31.55  | | | | | | | |   (81)  all_56_8 = e3 & op(e1, e1) = e3
% 194.38/31.55  | | | | | | | | 
% 194.38/31.55  | | | | | | | | ALPHA: (81) implies:
% 194.38/31.55  | | | | | | | |   (82)  op(e1, e1) = e3
% 194.38/31.55  | | | | | | | | 
% 194.38/31.55  | | | | | | | | REF_CLOSE: (13), (31), (65), (82) are inconsistent by sub-proof
% 194.38/31.55  | | | | | | | |            #1824.
% 194.38/31.55  | | | | | | | | 
% 194.38/31.55  | | | | | | | Case 2:
% 194.38/31.55  | | | | | | | | 
% 194.38/31.55  | | | | | | | |   (83)  all_56_11 = e3 & op(e1, e0) = e3
% 194.38/31.55  | | | | | | | | 
% 194.38/31.55  | | | | | | | | ALPHA: (83) implies:
% 194.38/31.55  | | | | | | | |   (84)  all_56_11 = e3
% 194.38/31.55  | | | | | | | | 
% 194.38/31.55  | | | | | | | | BETA: splitting (33) gives:
% 194.38/31.55  | | | | | | | | 
% 194.38/31.55  | | | | | | | | Case 1:
% 194.38/31.55  | | | | | | | | | 
% 194.38/31.55  | | | | | | | | |   (85)  all_54_8 = e3
% 194.38/31.55  | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | COMBINE_EQS: (26), (85) imply:
% 194.38/31.55  | | | | | | | | |   (86)  all_52_2 = e3
% 194.38/31.55  | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | REDUCE: (62), (86) imply:
% 194.38/31.55  | | | | | | | | |   (87)  $false
% 194.38/31.55  | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | CLOSE: (87) is inconsistent.
% 194.38/31.55  | | | | | | | | | 
% 194.38/31.55  | | | | | | | | Case 2:
% 194.38/31.55  | | | | | | | | | 
% 194.38/31.55  | | | | | | | | |   (88)   ~ (all_54_8 = e3)
% 194.38/31.55  | | | | | | | | |   (89)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.38/31.55  | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | BETA: splitting (89) gives:
% 194.38/31.55  | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | Case 1:
% 194.38/31.55  | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | |   (90)  all_54_8 = e2
% 194.38/31.55  | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | COMBINE_EQS: (26), (90) imply:
% 194.38/31.55  | | | | | | | | | |   (91)  all_52_2 = e2
% 194.38/31.55  | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | REDUCE: (29), (91) imply:
% 194.38/31.55  | | | | | | | | | |   (92)  $false
% 194.38/31.55  | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | CLOSE: (92) is inconsistent.
% 194.38/31.55  | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | Case 2:
% 194.38/31.55  | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | |   (93)   ~ (all_54_8 = e2)
% 194.38/31.55  | | | | | | | | | |   (94)  all_54_8 = e1 | all_54_8 = e0
% 194.38/31.55  | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | BETA: splitting (94) gives:
% 194.38/31.55  | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | Case 1:
% 194.38/31.55  | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | |   (95)  all_54_8 = e1
% 194.38/31.55  | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | COMBINE_EQS: (26), (95) imply:
% 194.38/31.55  | | | | | | | | | | |   (96)  all_52_2 = e1
% 194.38/31.55  | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | REDUCE: (40), (96) imply:
% 194.38/31.55  | | | | | | | | | | |   (97)   ~ (all_52_6 = e1)
% 194.38/31.55  | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | SIMP: (97) implies:
% 194.38/31.55  | | | | | | | | | | |   (98)   ~ (all_52_6 = e1)
% 194.38/31.55  | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | REDUCE: (62), (96) imply:
% 194.38/31.55  | | | | | | | | | | |   (99)   ~ (e3 = e1)
% 194.38/31.55  | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | REDUCE: (29), (96) imply:
% 194.38/31.55  | | | | | | | | | | |   (100)   ~ (e2 = e1)
% 194.38/31.55  | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | BETA: splitting (43) gives:
% 194.38/31.55  | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | Case 1:
% 194.38/31.55  | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | |   (101)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 194.38/31.55  | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 194.38/31.55  | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | BETA: splitting (101) gives:
% 194.38/31.55  | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | Case 1:
% 194.38/31.55  | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | |   (102)  all_56_9 = e2 & op(e3, e0) = e2
% 194.38/31.55  | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | REF_CLOSE: (13), (25), (44), (102) are inconsistent by
% 194.38/31.55  | | | | | | | | | | | | |            sub-proof #737.
% 194.38/31.55  | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | Case 2:
% 194.38/31.55  | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | |   (103)  all_56_10 = e2 & op(e2, e0) = e2
% 194.38/31.55  | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | ALPHA: (103) implies:
% 194.38/31.55  | | | | | | | | | | | | |   (104)  op(e2, e0) = e2
% 194.38/31.55  | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | BETA: splitting (4) gives:
% 194.38/31.55  | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | Case 1:
% 194.38/31.55  | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | |   (105)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.38/31.55  | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.38/31.55  | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.38/31.55  | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.55  | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.38/31.55  | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.38/31.55  | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.38/31.55  | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.38/31.55  | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.55  | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.55  | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.38/31.55  | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.38/31.55  | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.55  | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.55  | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.38/31.55  | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.38/31.55  | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.38/31.55  | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.38/31.55  | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.55  | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.55  | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.38/31.55  | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.55  | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.38/31.55  | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.38/31.55  | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.38/31.55  | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.38/31.55  | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.38/31.55  | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.38/31.55  | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.38/31.55  | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.38/31.55  | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.38/31.55  | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.38/31.55  | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.38/31.55  | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.38/31.55  | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.55  | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.55  | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.38/31.55  | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.38/31.55  | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.38/31.55  | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.38/31.55  | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.38/31.55  | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.38/31.55  | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.38/31.55  | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 194.38/31.55  | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | Case 1:
% 194.38/31.55  | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | |   (106)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.38/31.55  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.38/31.55  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.55  | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.38/31.55  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.38/31.55  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.55  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.55  | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.38/31.55  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.55  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.55  | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.38/31.55  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.38/31.55  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.55  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.38/31.55  | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 194.38/31.55  | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | Case 1:
% 194.38/31.55  | | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | |   (107)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.38/31.55  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.38/31.55  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.55  | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.38/31.55  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.38/31.55  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.55  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.38/31.55  | | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (13), (14), (20), (107) are inconsistent by
% 194.38/31.55  | | | | | | | | | | | | | | | |            sub-proof #195.
% 194.38/31.55  | | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | Case 2:
% 194.38/31.55  | | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | |   (108)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.38/31.55  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.55  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.55  | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.38/31.55  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.38/31.55  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.55  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.38/31.55  | | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (35), (41), (64), (78), (108) are
% 194.38/31.55  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #637.
% 194.38/31.55  | | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | End of split
% 194.38/31.55  | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | Case 2:
% 194.38/31.55  | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | |   (109)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.55  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.38/31.55  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.38/31.55  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.38/31.55  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.38/31.55  | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.38/31.55  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.38/31.55  | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.38/31.55  | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.38/31.55  | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.38/31.55  | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.38/31.55  | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.55  | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.55  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.55  | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.38/31.55  | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.38/31.55  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.38/31.55  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.38/31.55  | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.38/31.55  | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.38/31.55  | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 194.38/31.55  | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | Case 1:
% 194.38/31.55  | | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | |   (110)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.55  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.55  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.38/31.55  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.38/31.55  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.38/31.55  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.38/31.55  | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.38/31.55  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.38/31.55  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.38/31.55  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.38/31.55  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.38/31.55  | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 194.38/31.55  | | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (22), (35), (42), (53), (110) are
% 194.38/31.55  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #830.
% 194.38/31.55  | | | | | | | | | | | | | | | | 
% 194.38/31.55  | | | | | | | | | | | | | | | Case 2:
% 194.38/31.55  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | |   (111)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.38/31.56  | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.38/31.56  | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.56  | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.56  | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.38/31.56  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.38/31.56  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.38/31.56  | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.38/31.56  | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (13), (18), (23), (32), (45), (47),
% 194.38/31.56  | | | | | | | | | | | | | | | |            (64), (65), (98), (111) are inconsistent by
% 194.38/31.56  | | | | | | | | | | | | | | | |            sub-proof #97.
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | |   (112)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.38/31.56  | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.38/31.56  | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.56  | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.56  | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.38/31.56  | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.38/31.56  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.38/31.56  | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.38/31.56  | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.38/31.56  | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.38/31.56  | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.38/31.56  | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.38/31.56  | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.38/31.56  | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.38/31.56  | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.38/31.56  | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.56  | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.56  | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.38/31.56  | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.38/31.56  | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.38/31.56  | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.38/31.56  | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.38/31.56  | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.38/31.56  | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.38/31.56  | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.38/31.56  | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.38/31.56  | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.38/31.56  | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.38/31.56  | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.38/31.56  | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.38/31.56  | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.56  | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.38/31.56  | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.56  | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.38/31.56  | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.38/31.56  | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.56  | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.38/31.56  | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.56  | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.38/31.56  | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.38/31.56  | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.56  | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.56  | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.56  | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.38/31.56  | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.38/31.56  | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.56  | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.38/31.56  | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.38/31.56  | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 194.38/31.56  | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | |   (113)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.38/31.56  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.38/31.56  | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.56  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.56  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.38/31.56  | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.38/31.56  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.38/31.56  | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.38/31.56  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.38/31.56  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.38/31.56  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.38/31.56  | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.38/31.56  | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.38/31.56  | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.38/31.56  | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.38/31.56  | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.56  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.56  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.38/31.56  | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.38/31.56  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.38/31.56  | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.38/31.56  | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.38/31.56  | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.38/31.56  | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.38/31.56  | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.38/31.56  | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.38/31.56  | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 194.38/31.56  | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | |   (114)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.38/31.56  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.56  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.56  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.38/31.56  | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.38/31.56  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.38/31.56  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.38/31.56  | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.38/31.56  | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | |   (115)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.38/31.56  | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.38/31.56  | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.56  | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.56  | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 194.38/31.56  | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.38/31.56  | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | | ALPHA: (115) implies:
% 194.38/31.56  | | | | | | | | | | | | | | | | |   (116)  op(e2, e2) = e0
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (65), (116) are inconsistent by
% 194.38/31.56  | | | | | | | | | | | | | | | | |            sub-proof #202.
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | |   (117)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.38/31.56  | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.38/31.56  | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.38/31.56  | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 194.38/31.56  | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 194.38/31.56  | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | | ALPHA: (117) implies:
% 194.38/31.56  | | | | | | | | | | | | | | | | |   (118)  op(e2, e0) = e0
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (23), (49), (118) are inconsistent by
% 194.38/31.56  | | | | | | | | | | | | | | | | |            sub-proof #1173.
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | |   (119)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.38/31.56  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.56  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.56  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.38/31.56  | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.38/31.56  | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.38/31.56  | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.38/31.56  | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.38/31.56  | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.38/31.56  | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (15), (24), (65), (104), (119) are
% 194.38/31.56  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #96.
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | |   (120)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.38/31.56  | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.38/31.56  | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.56  | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.38/31.56  | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.56  | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.38/31.56  | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.38/31.56  | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.56  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.38/31.56  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.56  | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.38/31.56  | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.38/31.56  | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.56  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.56  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.56  | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.38/31.56  | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.38/31.56  | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.56  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.38/31.56  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.38/31.56  | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | BETA: splitting (120) gives:
% 194.38/31.56  | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | |   (121)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.38/31.56  | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.38/31.56  | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.56  | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.38/31.56  | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.56  | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.38/31.56  | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.38/31.56  | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.56  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.38/31.56  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | BETA: splitting (121) gives:
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | |   (122)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.38/31.56  | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.38/31.56  | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.56  | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.38/31.56  | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.38/31.56  | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.38/31.56  | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | | ALPHA: (122) implies:
% 194.38/31.56  | | | | | | | | | | | | | | | | |   (123)  op(e3, e3) = e3
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (25), (28), (30), (34), (44), (50), (53),
% 194.38/31.56  | | | | | | | | | | | | | | | | |            (63), (123) are inconsistent by sub-proof #98.
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | |   (124)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.38/31.56  | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.38/31.56  | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.56  | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.38/31.56  | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.38/31.56  | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.38/31.56  | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | | ALPHA: (124) implies:
% 194.38/31.56  | | | | | | | | | | | | | | | | |   (125)  op(e2, e2) = e2
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (63), (125) are inconsistent by
% 194.38/31.56  | | | | | | | | | | | | | | | | |            sub-proof #214.
% 194.38/31.56  | | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | |   (126)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.38/31.56  | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.38/31.56  | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.56  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.56  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.56  | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.38/31.56  | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.38/31.56  | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.56  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.56  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.38/31.56  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.38/31.56  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (31), (36), (65), (104), (126) are
% 194.38/31.56  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 194.38/31.56  | | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | |   (127)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 194.38/31.56  | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | REF_CLOSE: (3), (10), (12), (13), (22), (35), (36), (38),
% 194.38/31.56  | | | | | | | | | | | |            (41), (42), (48), (53), (62), (63), (64), (65),
% 194.38/31.56  | | | | | | | | | | | |            (75), (84), (127) are inconsistent by sub-proof
% 194.38/31.56  | | | | | | | | | | | |            #95.
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | |   (128)  all_54_8 = e0
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | COMBINE_EQS: (26), (128) imply:
% 194.38/31.56  | | | | | | | | | | |   (129)  all_52_2 = e0
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | REDUCE: (11), (129) imply:
% 194.38/31.56  | | | | | | | | | | |   (130)  $false
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | CLOSE: (130) is inconsistent.
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | 
% 194.38/31.56  | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | 
% 194.38/31.56  | | | | | | | End of split
% 194.38/31.56  | | | | | | | 
% 194.38/31.56  | | | | | | End of split
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | Case 2:
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | |   (131)  all_56_5 = e3 & op(e2, e1) = e3
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | | ALPHA: (131) implies:
% 194.38/31.56  | | | | | |   (132)  op(e2, e1) = e3
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | | REF_CLOSE: (13), (18), (47), (132) are inconsistent by sub-proof
% 194.38/31.56  | | | | | |            #1758.
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | End of split
% 194.38/31.56  | | | | | 
% 194.38/31.56  | | | | Case 2:
% 194.38/31.56  | | | | | 
% 194.38/31.56  | | | | |   (133)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0,
% 194.38/31.56  | | | | |              e1) = e3)
% 194.38/31.56  | | | | | 
% 194.38/31.56  | | | | | BETA: splitting (133) gives:
% 194.38/31.56  | | | | | 
% 194.38/31.56  | | | | | Case 1:
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | |   (134)  all_56_8 = e3 & op(e1, e1) = e3
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | | ALPHA: (134) implies:
% 194.38/31.56  | | | | | |   (135)  op(e1, e1) = e3
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | | REF_CLOSE: (13), (31), (65), (135) are inconsistent by sub-proof
% 194.38/31.56  | | | | | |            #1824.
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | Case 2:
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | |   (136)  all_56_14 = e3 & op(e0, e1) = e3
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | | ALPHA: (136) implies:
% 194.38/31.56  | | | | | |   (137)  all_56_14 = e3
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | | BETA: splitting (52) gives:
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | | Case 1:
% 194.38/31.56  | | | | | | | 
% 194.38/31.56  | | | | | | |   (138)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 &
% 194.38/31.56  | | | | | | |            op(e1, e2) = e3)
% 194.38/31.56  | | | | | | | 
% 194.38/31.56  | | | | | | | REF_CLOSE: (3), (6), (13), (37), (62), (138) are inconsistent by
% 194.38/31.56  | | | | | | |            sub-proof #222.
% 194.38/31.56  | | | | | | | 
% 194.38/31.56  | | | | | | Case 2:
% 194.38/31.56  | | | | | | | 
% 194.38/31.56  | | | | | | |   (139)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 &
% 194.38/31.56  | | | | | | |            op(e1, e0) = e3)
% 194.38/31.56  | | | | | | | 
% 194.38/31.56  | | | | | | | BETA: splitting (139) gives:
% 194.38/31.56  | | | | | | | 
% 194.38/31.56  | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | 
% 194.38/31.56  | | | | | | | |   (140)  all_56_8 = e3 & op(e1, e1) = e3
% 194.38/31.56  | | | | | | | | 
% 194.38/31.56  | | | | | | | | ALPHA: (140) implies:
% 194.38/31.56  | | | | | | | |   (141)  op(e1, e1) = e3
% 194.38/31.56  | | | | | | | | 
% 194.38/31.56  | | | | | | | | REF_CLOSE: (13), (31), (65), (141) are inconsistent by sub-proof
% 194.38/31.56  | | | | | | | |            #1824.
% 194.38/31.56  | | | | | | | | 
% 194.38/31.56  | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | 
% 194.38/31.56  | | | | | | | |   (142)  all_56_11 = e3 & op(e1, e0) = e3
% 194.38/31.56  | | | | | | | | 
% 194.38/31.56  | | | | | | | | ALPHA: (142) implies:
% 194.38/31.56  | | | | | | | |   (143)  all_56_11 = e3
% 194.38/31.56  | | | | | | | | 
% 194.38/31.56  | | | | | | | | BETA: splitting (17) gives:
% 194.38/31.56  | | | | | | | | 
% 194.38/31.56  | | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | | 
% 194.38/31.56  | | | | | | | | |   (144)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 &
% 194.38/31.56  | | | | | | | | |            op(e2, e1) = e2)
% 194.38/31.56  | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | BETA: splitting (144) gives:
% 194.38/31.56  | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | |   (145)  all_56_4 = e2 & op(e3, e1) = e2
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | REF_CLOSE: (13), (34), (50), (145) are inconsistent by
% 194.38/31.56  | | | | | | | | | |            sub-proof #810.
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | |   (146)  all_56_5 = e2 & op(e2, e1) = e2
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | ALPHA: (146) implies:
% 194.38/31.56  | | | | | | | | | |   (147)  op(e2, e1) = e2
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | BETA: splitting (43) gives:
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | |   (148)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 194.38/31.56  | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | BETA: splitting (148) gives:
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | |   (149)  all_56_9 = e2 & op(e3, e0) = e2
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | REF_CLOSE: (13), (25), (44), (149) are inconsistent by
% 194.38/31.56  | | | | | | | | | | | |            sub-proof #737.
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | |   (150)  all_56_10 = e2 & op(e2, e0) = e2
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | ALPHA: (150) implies:
% 194.38/31.56  | | | | | | | | | | | |   (151)  op(e2, e0) = e2
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | | REF_CLOSE: (13), (23), (47), (51), (147), (151) are
% 194.38/31.56  | | | | | | | | | | | |            inconsistent by sub-proof #1887.
% 194.38/31.56  | | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | |   (152)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 194.38/31.56  | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | | REF_CLOSE: (3), (10), (12), (13), (22), (35), (36), (38),
% 194.38/31.56  | | | | | | | | | | |            (41), (42), (48), (53), (62), (63), (64), (65),
% 194.38/31.56  | | | | | | | | | | |            (75), (143), (152) are inconsistent by sub-proof
% 194.38/31.56  | | | | | | | | | | |            #95.
% 194.38/31.56  | | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | 
% 194.38/31.56  | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | 
% 194.38/31.56  | | | | | | | | |   (153)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 &
% 194.38/31.56  | | | | | | | | |            op(e0, e1) = e2)
% 194.38/31.56  | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | BETA: splitting (153) gives:
% 194.38/31.56  | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | Case 1:
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | |   (154)  all_56_8 = e2 & op(e1, e1) = e2
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | ALPHA: (154) implies:
% 194.38/31.56  | | | | | | | | | |   (155)  op(e1, e1) = e2
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | REF_CLOSE: (13), (31), (53), (155) are inconsistent by
% 194.38/31.56  | | | | | | | | | |            sub-proof #1821.
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | Case 2:
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | |   (156)  all_56_14 = e2 & op(e0, e1) = e2
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | ALPHA: (156) implies:
% 194.38/31.56  | | | | | | | | | |   (157)  all_56_14 = e2
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | COMBINE_EQS: (137), (157) imply:
% 194.38/31.56  | | | | | | | | | |   (158)  e3 = e2
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | COMBINE_EQS: (75), (158) imply:
% 194.38/31.56  | | | | | | | | | |   (159)  all_56_12 = e2
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | | REF_CLOSE: (3), (10), (12), (13), (22), (35), (36), (38),
% 194.38/31.56  | | | | | | | | | |            (41), (42), (53), (62), (63), (64), (65), (159)
% 194.38/31.56  | | | | | | | | | |            are inconsistent by sub-proof #740.
% 194.38/31.56  | | | | | | | | | | 
% 194.38/31.56  | | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | | 
% 194.38/31.56  | | | | | | | | End of split
% 194.38/31.56  | | | | | | | | 
% 194.38/31.56  | | | | | | | End of split
% 194.38/31.56  | | | | | | | 
% 194.38/31.56  | | | | | | End of split
% 194.38/31.56  | | | | | | 
% 194.38/31.56  | | | | | End of split
% 194.38/31.56  | | | | | 
% 194.38/31.56  | | | | End of split
% 194.38/31.56  | | | | 
% 194.38/31.56  | | | End of split
% 194.38/31.56  | | | 
% 194.38/31.56  | | End of split
% 194.38/31.56  | | 
% 194.38/31.56  | Case 2:
% 194.38/31.56  | | 
% 194.38/31.56  | |   (160)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.38/31.56  | | 
% 194.38/31.56  | | REF_CLOSE: (21), (56), (58), (59), (160) are inconsistent by sub-proof #767.
% 194.38/31.56  | | 
% 194.38/31.56  | End of split
% 194.38/31.56  | 
% 194.38/31.56  End of proof
% 194.38/31.56  
% 194.38/31.56  Sub-proof #95 shows that the following formulas are inconsistent:
% 194.38/31.56  ----------------------------------------------------------------
% 194.38/31.56    (1)  op(e1, e3) = all_52_2
% 194.38/31.56    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.38/31.56         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.38/31.56    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.38/31.56         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.38/31.56    (4)   ~ (e3 = e2)
% 194.38/31.56    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.56    (6)  all_56_12 = e3
% 194.38/31.56    (7)  op(e0, e3) = all_52_3
% 194.38/31.56    (8)  all_56_11 = e3
% 194.38/31.56    (9)   ~ (all_52_2 = e3)
% 194.38/31.56    (10)  op(e3, e3) = e2
% 194.38/31.56    (11)   ~ (e1 = e0)
% 194.38/31.56    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.38/31.56          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.38/31.56    (13)   ~ (e2 = e1)
% 194.38/31.56    (14)   ~ (all_52_3 = e0)
% 194.38/31.56    (15)  op(e0, e0) = e0
% 194.38/31.56    (16)   ~ (e3 = e1)
% 194.38/31.56    (17)   ~ (e2 = e0)
% 194.38/31.56    (18)   ~ (e3 = e0)
% 194.38/31.56    (19)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.38/31.56  
% 194.38/31.56  Begin of proof
% 194.38/31.56  | 
% 194.38/31.56  | BETA: splitting (19) gives:
% 194.38/31.56  | 
% 194.38/31.56  | Case 1:
% 194.38/31.56  | | 
% 194.38/31.56  | |   (20)  all_56_11 = e2 & op(e1, e0) = e2
% 194.38/31.56  | | 
% 194.38/31.56  | | ALPHA: (20) implies:
% 194.38/31.56  | |   (21)  all_56_11 = e2
% 194.38/31.56  | | 
% 194.38/31.56  | | COMBINE_EQS: (8), (21) imply:
% 194.38/31.56  | |   (22)  e3 = e2
% 194.38/31.56  | | 
% 194.38/31.56  | | SIMP: (22) implies:
% 194.38/31.56  | |   (23)  e3 = e2
% 194.38/31.56  | | 
% 194.38/31.56  | | COMBINE_EQS: (6), (23) imply:
% 194.38/31.56  | |   (24)  all_56_12 = e2
% 194.38/31.56  | | 
% 194.38/31.56  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (12), (13), (14),
% 194.38/31.56  | |            (16), (17), (18), (24) are inconsistent by sub-proof #740.
% 194.38/31.56  | | 
% 194.38/31.56  | Case 2:
% 194.38/31.56  | | 
% 194.38/31.56  | |   (25)  all_56_15 = e2 & op(e0, e0) = e2
% 194.38/31.56  | | 
% 194.38/31.56  | | ALPHA: (25) implies:
% 194.38/31.56  | |   (26)  op(e0, e0) = e2
% 194.38/31.56  | | 
% 194.38/31.56  | | REF_CLOSE: (5), (15), (17), (26) are inconsistent by sub-proof #1945.
% 194.38/31.56  | | 
% 194.38/31.56  | End of split
% 194.38/31.56  | 
% 194.38/31.56  End of proof
% 194.38/31.56  
% 194.38/31.56  Sub-proof #96 shows that the following formulas are inconsistent:
% 194.38/31.56  ----------------------------------------------------------------
% 194.38/31.56    (1)   ~ (all_52_14 = e0)
% 194.38/31.56    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.56    (3)  op(e2, e2) = e3
% 194.38/31.56    (4)  op(e2, e0) = e2
% 194.38/31.56    (5)  op(e1, e0) = all_52_14
% 194.38/31.56    (6)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.38/31.56           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.38/31.56           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.38/31.56                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.38/31.56               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.38/31.56               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 194.38/31.56           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 194.38/31.56             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.38/31.56               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.56           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.38/31.56               = all_57_7 & $i(all_57_7))))
% 194.38/31.56    (7)   ~ (e3 = e0)
% 194.38/31.56  
% 194.38/31.56  Begin of proof
% 194.38/31.56  | 
% 194.38/31.56  | BETA: splitting (6) gives:
% 194.38/31.56  | 
% 194.38/31.56  | Case 1:
% 194.38/31.56  | | 
% 194.38/31.56  | |   (8)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.38/31.56  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.38/31.56  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.38/31.56  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 194.38/31.56  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.38/31.56  | |            all_57_11 & $i(all_57_11)))
% 194.38/31.56  | | 
% 194.38/31.56  | | ALPHA: (8) implies:
% 194.38/31.56  | |   (9)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.38/31.56  | |            e0) = all_57_11 & $i(all_57_11))
% 194.38/31.56  | | 
% 194.38/31.56  | | REF_CLOSE: (2), (3), (4), (7), (9) are inconsistent by sub-proof #165.
% 194.38/31.56  | | 
% 194.38/31.56  | Case 2:
% 194.38/31.56  | | 
% 194.38/31.56  | |   (10)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.38/31.56  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.38/31.56  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 194.38/31.56  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 194.38/31.56  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.38/31.56  | |             all_57_7 & $i(all_57_7)))
% 194.38/31.56  | | 
% 194.38/31.56  | | ALPHA: (10) implies:
% 194.38/31.56  | |   (11)  op(e1, e0) = e0
% 194.38/31.56  | | 
% 194.38/31.56  | | REF_CLOSE: (1), (2), (5), (11) are inconsistent by sub-proof #1884.
% 194.38/31.56  | | 
% 194.38/31.56  | End of split
% 194.38/31.56  | 
% 194.38/31.56  End of proof
% 194.38/31.56  
% 194.38/31.56  Sub-proof #97 shows that the following formulas are inconsistent:
% 194.38/31.56  ----------------------------------------------------------------
% 194.38/31.56    (1)   ~ (all_52_13 = e3)
% 194.38/31.56    (2)  op(e1, e2) = all_52_6
% 194.38/31.57    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.57    (4)   ~ (all_52_9 = e3)
% 194.38/31.57    (5)  op(e2, e0) = all_52_13
% 194.38/31.57    (6)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.38/31.57           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.38/31.57           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.38/31.57                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.38/31.57               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.38/31.57               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.38/31.57           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 194.38/31.57           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.57               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.57           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.38/31.57               = all_57_5 & $i(all_57_5))))
% 194.38/31.57    (7)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.38/31.57         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.38/31.57    (8)  all_56_2 = e0
% 194.38/31.57    (9)  op(e2, e1) = all_52_9
% 194.38/31.57    (10)   ~ (e3 = e1)
% 194.38/31.57    (11)   ~ (all_52_6 = e1)
% 194.38/31.57    (12)   ~ (e3 = e0)
% 194.38/31.57  
% 194.38/31.57  Begin of proof
% 194.38/31.57  | 
% 194.38/31.57  | BETA: splitting (6) gives:
% 194.38/31.57  | 
% 194.38/31.57  | Case 1:
% 194.38/31.57  | | 
% 194.38/31.57  | |   (13)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.38/31.57  | |         op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.38/31.57  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 194.38/31.57  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 =
% 194.38/31.57  | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.38/31.57  | |             all_57_8 & $i(all_57_8)))
% 194.38/31.57  | | 
% 194.38/31.57  | | ALPHA: (13) implies:
% 194.38/31.57  | |   (14)  op(e2, e2) = e1
% 194.38/31.57  | | 
% 194.38/31.57  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (12), (14) are
% 194.38/31.57  | |            inconsistent by sub-proof #581.
% 194.38/31.57  | | 
% 194.38/31.57  | Case 2:
% 194.38/31.57  | | 
% 194.38/31.57  | |   (15)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.38/31.57  | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.38/31.57  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.38/31.57  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 194.38/31.57  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.38/31.57  | |             all_57_5 & $i(all_57_5)))
% 194.38/31.57  | | 
% 194.38/31.57  | | ALPHA: (15) implies:
% 194.38/31.57  | |   (16)  op(e1, e2) = e1
% 194.38/31.57  | | 
% 194.38/31.57  | | REF_CLOSE: (2), (3), (11), (16) are inconsistent by sub-proof #1970.
% 194.38/31.57  | | 
% 194.38/31.57  | End of split
% 194.38/31.57  | 
% 194.38/31.57  End of proof
% 194.38/31.57  
% 194.38/31.57  Sub-proof #98 shows that the following formulas are inconsistent:
% 194.38/31.57  ----------------------------------------------------------------
% 194.38/31.57    (1)   ~ (e3 = e2)
% 194.38/31.57    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.57    (3)   ~ (all_52_12 = e2)
% 194.38/31.57    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.38/31.57         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.38/31.57    (5)  op(e3, e3) = e3
% 194.38/31.57    (6)  all_56_1 = e0
% 194.38/31.57    (7)   ~ (all_52_8 = e2)
% 194.38/31.57    (8)  op(e3, e0) = all_52_12
% 194.38/31.57    (9)  op(e3, e1) = all_52_8
% 194.38/31.57    (10)   ~ (e2 = e0)
% 194.38/31.57  
% 194.38/31.57  Begin of proof
% 194.38/31.57  | 
% 194.38/31.57  | BETA: splitting (4) gives:
% 194.38/31.57  | 
% 194.38/31.57  | Case 1:
% 194.38/31.57  | | 
% 194.38/31.57  | |   (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 194.38/31.57  | |           e2)
% 194.38/31.57  | | 
% 194.38/31.57  | | REF_CLOSE: (1), (2), (5), (6), (10), (11) are inconsistent by sub-proof
% 194.38/31.57  | |            #1566.
% 194.38/31.57  | | 
% 194.38/31.57  | Case 2:
% 194.38/31.57  | | 
% 194.38/31.57  | |   (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 194.38/31.57  | |           e2)
% 194.38/31.57  | | 
% 194.38/31.57  | | BETA: splitting (12) gives:
% 194.38/31.57  | | 
% 194.38/31.57  | | Case 1:
% 194.38/31.57  | | | 
% 194.38/31.57  | | |   (13)  all_56_4 = e2 & op(e3, e1) = e2
% 194.38/31.57  | | | 
% 194.38/31.57  | | | REF_CLOSE: (2), (7), (9), (13) are inconsistent by sub-proof #810.
% 194.38/31.57  | | | 
% 194.38/31.57  | | Case 2:
% 194.38/31.57  | | | 
% 194.38/31.57  | | |   (14)  all_56_9 = e2 & op(e3, e0) = e2
% 194.38/31.57  | | | 
% 194.38/31.57  | | | REF_CLOSE: (2), (3), (8), (14) are inconsistent by sub-proof #737.
% 194.38/31.57  | | | 
% 194.38/31.57  | | End of split
% 194.38/31.57  | | 
% 194.38/31.57  | End of split
% 194.38/31.57  | 
% 194.38/31.57  End of proof
% 194.38/31.57  
% 194.38/31.57  Sub-proof #99 shows that the following formulas are inconsistent:
% 194.38/31.57  ----------------------------------------------------------------
% 194.38/31.57    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.57    (2)  op(e2, e2) = e3
% 194.38/31.57    (3)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.38/31.57             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.38/31.57           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 194.38/31.57           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.38/31.57             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.38/31.57           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.38/31.57           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.38/31.57    (4)  op(e0, e0) = all_57_15
% 194.38/31.57    (5)  op(e3, e3) = e2
% 194.38/31.57    (6)   ~ (e2 = e1)
% 194.38/31.57    (7)  op(e0, e0) = e2
% 194.38/31.57    (8)   ~ (e3 = e1)
% 194.38/31.57  
% 194.38/31.57  Begin of proof
% 194.38/31.57  | 
% 194.38/31.57  | BETA: splitting (3) gives:
% 194.38/31.57  | 
% 194.38/31.57  | Case 1:
% 194.38/31.57  | | 
% 194.38/31.57  | |   (9)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.38/31.57  | |          e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.38/31.57  | |        $i(all_57_4)
% 194.38/31.57  | | 
% 194.38/31.57  | | ALPHA: (9) implies:
% 194.38/31.57  | |   (10)   ~ (all_57_15 = e2)
% 194.38/31.57  | | 
% 194.38/31.57  | | REF_CLOSE: (1), (4), (7), (10) are inconsistent by sub-proof #748.
% 194.38/31.57  | | 
% 194.38/31.57  | Case 2:
% 194.38/31.57  | | 
% 194.38/31.57  | |   (11)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.38/31.57  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.38/31.57  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.38/31.57  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 194.38/31.57  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.38/31.57  | | 
% 194.38/31.57  | | REF_CLOSE: (1), (2), (5), (6), (8), (11) are inconsistent by sub-proof #101.
% 194.38/31.57  | | 
% 194.38/31.57  | End of split
% 194.38/31.57  | 
% 194.38/31.57  End of proof
% 194.38/31.57  
% 194.38/31.57  Sub-proof #100 shows that the following formulas are inconsistent:
% 194.38/31.57  ----------------------------------------------------------------
% 194.38/31.57    (1)  op(e1, e2) = all_52_6
% 194.38/31.57    (2)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 194.38/31.57    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.57    (4)  op(e2, e2) = e3
% 194.38/31.57    (5)  all_57_15 = e3
% 194.38/31.57    (6)   ~ (all_52_3 = all_52_7)
% 194.38/31.57    (7)   ~ (all_10_2 = e3)
% 194.38/31.57    (8)  all_54_10 = all_10_2
% 194.38/31.57    (9)  op(e0, e3) = all_52_3
% 194.38/31.57    (10)  op(e0, e3) = e0
% 194.38/31.57    (11)  op(e1, e0) = all_52_14
% 194.38/31.57    (12)  op(e3, e0) = e0
% 194.38/31.57    (13)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.38/31.57              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.38/31.57            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.38/31.57            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.38/31.57            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.38/31.57            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.38/31.57            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.38/31.57            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.38/31.57            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.38/31.57            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.38/31.57            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.38/31.57            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.38/31.57            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.38/31.57            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.38/31.57            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.38/31.57            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.38/31.57            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.38/31.57            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.38/31.57            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.38/31.57            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.38/31.57            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.38/31.57            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.38/31.57            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.38/31.57            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.38/31.57            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.38/31.57            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.38/31.57            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.38/31.57            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.38/31.57            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.38/31.57            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.38/31.57            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.38/31.57            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.38/31.57            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.38/31.57            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.38/31.57            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.38/31.57            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.38/31.57            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.38/31.57            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.38/31.57            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.38/31.57            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.38/31.57            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.38/31.57            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.38/31.57            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.38/31.57            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.38/31.57            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.38/31.57            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.38/31.57            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.38/31.57            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.38/31.57              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.38/31.57            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.38/31.57            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.38/31.57              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.38/31.57            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.38/31.57            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.38/31.57                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.38/31.57                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.38/31.57                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.38/31.57                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.38/31.57                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.38/31.57                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.38/31.57                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.38/31.57              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.38/31.57                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.38/31.57                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.38/31.57                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.38/31.57                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.38/31.57                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.38/31.57                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.38/31.57                $i(all_57_7))))
% 194.38/31.57    (14)   ~ (all_52_14 = all_10_2)
% 194.38/31.57    (15)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.38/31.57            all_57_1 & $i(all_57_1))
% 194.38/31.57    (16)  op(e1, e1) = all_10_2
% 194.38/31.57    (17)  op(e3, e3) = e2
% 194.38/31.57    (18)   ~ (all_10_2 = e0)
% 194.38/31.57    (19)   ~ (all_52_1 = e2)
% 194.38/31.57    (20)   ~ (all_10_2 = e2)
% 194.38/31.57    (21)  op(e0, e0) = e3
% 194.38/31.57    (22)  op(e0, e2) = all_52_7
% 194.38/31.57    (23)   ~ (e2 = e0)
% 194.38/31.57    (24)  op(e2, e3) = all_52_1
% 194.38/31.57    (25)   ~ (all_52_6 = all_10_2)
% 194.38/31.57    (26)   ~ (e3 = e0)
% 194.38/31.57  
% 194.38/31.57  Begin of proof
% 194.38/31.57  | 
% 194.38/31.57  | BETA: splitting (15) gives:
% 194.38/31.57  | 
% 194.38/31.57  | Case 1:
% 194.38/31.57  | | 
% 194.38/31.57  | |   (27)  all_57_14 = e3 & op(e1, e1) = e3
% 194.38/31.57  | | 
% 194.38/31.57  | | ALPHA: (27) implies:
% 194.38/31.57  | |   (28)  op(e1, e1) = e3
% 194.38/31.57  | | 
% 194.38/31.57  | | BETA: splitting (2) gives:
% 194.38/31.57  | | 
% 194.38/31.57  | | Case 1:
% 194.38/31.57  | | | 
% 194.38/31.57  | | |   (29)  all_54_10 = e2
% 194.38/31.57  | | | 
% 194.38/31.57  | | | REF_CLOSE: (8), (20), (29) are inconsistent by sub-proof #982.
% 194.38/31.57  | | | 
% 194.38/31.57  | | Case 2:
% 194.38/31.57  | | | 
% 194.38/31.57  | | |   (30)  all_54_10 = e1 | all_54_10 = e0
% 194.38/31.57  | | | 
% 194.38/31.57  | | | BETA: splitting (30) gives:
% 194.38/31.57  | | | 
% 194.38/31.57  | | | Case 1:
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | |   (31)  all_54_10 = e1
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | COMBINE_EQS: (8), (31) imply:
% 194.38/31.57  | | | |   (32)  all_10_2 = e1
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | SIMP: (32) implies:
% 194.38/31.57  | | | |   (33)  all_10_2 = e1
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | REDUCE: (7), (33) imply:
% 194.38/31.57  | | | |   (34)   ~ (e3 = e1)
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | SIMP: (34) implies:
% 194.38/31.57  | | | |   (35)   ~ (e3 = e1)
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | REDUCE: (16), (33) imply:
% 194.38/31.57  | | | |   (36)  op(e1, e1) = e1
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | REF_CLOSE: (3), (28), (35), (36) are inconsistent by sub-proof #1978.
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | Case 2:
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | |   (37)  all_54_10 = e0
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | REF_CLOSE: (8), (18), (37) are inconsistent by sub-proof #932.
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | End of split
% 194.38/31.57  | | | 
% 194.38/31.57  | | End of split
% 194.38/31.57  | | 
% 194.38/31.57  | Case 2:
% 194.38/31.57  | | 
% 194.38/31.57  | |   (38)   ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)
% 194.38/31.57  | | 
% 194.38/31.57  | | ALPHA: (38) implies:
% 194.38/31.57  | |   (39)   ~ (all_57_1 = e1)
% 194.38/31.57  | |   (40)  op(e1, e3) = all_57_1
% 194.38/31.57  | | 
% 194.38/31.57  | | BETA: splitting (2) gives:
% 194.38/31.57  | | 
% 194.38/31.57  | | Case 1:
% 194.38/31.57  | | | 
% 194.38/31.57  | | |   (41)  all_54_10 = e2
% 194.38/31.57  | | | 
% 194.38/31.57  | | | REF_CLOSE: (8), (20), (41) are inconsistent by sub-proof #982.
% 194.38/31.57  | | | 
% 194.38/31.57  | | Case 2:
% 194.38/31.57  | | | 
% 194.38/31.57  | | |   (42)   ~ (all_54_10 = e2)
% 194.38/31.57  | | |   (43)  all_54_10 = e1 | all_54_10 = e0
% 194.38/31.57  | | | 
% 194.38/31.57  | | | BETA: splitting (43) gives:
% 194.38/31.57  | | | 
% 194.38/31.57  | | | Case 1:
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | |   (44)  all_54_10 = e1
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | COMBINE_EQS: (8), (44) imply:
% 194.38/31.57  | | | |   (45)  all_10_2 = e1
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | SIMP: (45) implies:
% 194.38/31.57  | | | |   (46)  all_10_2 = e1
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | REDUCE: (25), (46) imply:
% 194.38/31.57  | | | |   (47)   ~ (all_52_6 = e1)
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | REDUCE: (14), (46) imply:
% 194.38/31.57  | | | |   (48)   ~ (all_52_14 = e1)
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | REDUCE: (7), (46) imply:
% 194.38/31.57  | | | |   (49)   ~ (e3 = e1)
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | SIMP: (49) implies:
% 194.38/31.57  | | | |   (50)   ~ (e3 = e1)
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | REDUCE: (20), (46) imply:
% 194.38/31.57  | | | |   (51)   ~ (e2 = e1)
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | SIMP: (51) implies:
% 194.38/31.57  | | | |   (52)   ~ (e2 = e1)
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | REDUCE: (18), (46) imply:
% 194.38/31.57  | | | |   (53)   ~ (e1 = e0)
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | REDUCE: (16), (46) imply:
% 194.38/31.57  | | | |   (54)  op(e1, e1) = e1
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | BETA: splitting (13) gives:
% 194.38/31.57  | | | | 
% 194.38/31.57  | | | | Case 1:
% 194.38/31.57  | | | | | 
% 194.38/31.57  | | | | |   (55)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.38/31.57  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 194.38/31.57  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 194.38/31.57  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 194.38/31.57  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.38/31.57  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 194.38/31.57  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.38/31.57  | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 194.38/31.57  | | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.38/31.57  | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 194.38/31.57  | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 194.38/31.57  | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 194.38/31.57  | | | | |           & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 194.38/31.57  | | | | |           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.38/31.57  | | | | |           (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.38/31.57  | | | | |           all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 194.38/31.57  | | | | |             e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3
% 194.38/31.57  | | | | |           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2)
% 194.38/31.57  | | | | |           & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.38/31.57  | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 194.38/31.57  | | | | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.38/31.57  | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.38/31.57  | | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.38/31.57  | | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 194.38/31.57  | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.38/31.57  | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 194.38/31.57  | | | | |           = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 194.38/31.57  | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 194.38/31.57  | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.38/31.57  | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.38/31.57  | | | | | 
% 194.38/31.57  | | | | | BETA: splitting (55) gives:
% 194.38/31.57  | | | | | 
% 194.38/31.57  | | | | | Case 1:
% 194.38/31.57  | | | | | | 
% 194.38/31.57  | | | | | |   (56)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.38/31.57  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 194.38/31.57  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.38/31.57  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 194.38/31.57  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 194.38/31.57  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.38/31.57  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.38/31.57  | | | | | |         | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.38/31.57  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 194.38/31.57  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 194.38/31.57  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 194.38/31.57  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.38/31.57  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 194.38/31.57  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.38/31.57  | | | | | | 
% 194.38/31.57  | | | | | | BETA: splitting (56) gives:
% 194.38/31.57  | | | | | | 
% 194.38/31.57  | | | | | | Case 1:
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | |   (57)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.38/31.57  | | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 194.38/31.57  | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.38/31.57  | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 194.38/31.57  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 194.38/31.57  | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.38/31.57  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 194.38/31.57  | | | | | | |           $i(all_57_12))
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | | REF_CLOSE: (3), (19), (24), (57) are inconsistent by sub-proof
% 194.38/31.57  | | | | | | |            #1784.
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | Case 2:
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | |   (58)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.38/31.57  | | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 194.38/31.57  | | | | | | |           e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.38/31.57  | | | | | | |           $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 194.38/31.57  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 194.38/31.57  | | | | | | |             e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.38/31.57  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 194.38/31.57  | | | | | | |           $i(all_57_14))
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | | BETA: splitting (58) gives:
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | | Case 1:
% 194.38/31.57  | | | | | | | | 
% 194.38/31.57  | | | | | | | |   (59)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.38/31.57  | | | | | | | |         (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 194.38/31.57  | | | | | | | |         e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.38/31.57  | | | | | | | |         $i(all_57_0) & $i(all_57_14)
% 194.38/31.57  | | | | | | | | 
% 194.38/31.57  | | | | | | | | ALPHA: (59) implies:
% 194.38/31.57  | | | | | | | |   (60)  op(e1, e3) = e1
% 194.38/31.57  | | | | | | | | 
% 194.38/31.57  | | | | | | | | REF_CLOSE: (3), (39), (40), (60) are inconsistent by sub-proof
% 194.38/31.57  | | | | | | | |            #1326.
% 194.38/31.57  | | | | | | | | 
% 194.38/31.57  | | | | | | | Case 2:
% 194.38/31.57  | | | | | | | | 
% 194.38/31.57  | | | | | | | |   (61)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 194.38/31.57  | | | | | | | |         (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 194.38/31.57  | | | | | | | |         all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.38/31.57  | | | | | | | |         $i(all_57_2) & $i(all_57_14)
% 194.38/31.57  | | | | | | | | 
% 194.38/31.57  | | | | | | | | ALPHA: (61) implies:
% 194.38/31.57  | | | | | | | |   (62)  op(e1, e3) = e1
% 194.38/31.57  | | | | | | | | 
% 194.38/31.57  | | | | | | | | REF_CLOSE: (3), (39), (40), (62) are inconsistent by sub-proof
% 194.38/31.57  | | | | | | | |            #1326.
% 194.38/31.57  | | | | | | | | 
% 194.38/31.57  | | | | | | | End of split
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | End of split
% 194.38/31.57  | | | | | | 
% 194.38/31.57  | | | | | Case 2:
% 194.38/31.57  | | | | | | 
% 194.38/31.57  | | | | | |   (63)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.38/31.57  | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 194.38/31.57  | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.38/31.57  | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15
% 194.38/31.57  | | | | | |           = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3,
% 194.38/31.57  | | | | | |             e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.38/31.57  | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 194.38/31.57  | | | | | |         | (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.38/31.57  | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 194.38/31.57  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 194.38/31.57  | | | | | |           & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 194.38/31.57  | | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.38/31.57  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 194.38/31.57  | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 194.38/31.57  | | | | | |           e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 194.38/31.57  | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 194.38/31.57  | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.38/31.57  | | | | | |           $i(all_57_10))
% 194.38/31.57  | | | | | | 
% 194.38/31.57  | | | | | | BETA: splitting (63) gives:
% 194.38/31.57  | | | | | | 
% 194.38/31.57  | | | | | | Case 1:
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | |   (64)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.38/31.57  | | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 194.38/31.57  | | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.38/31.57  | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 194.38/31.57  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 194.38/31.57  | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.38/31.57  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.38/31.57  | | | | | | |           $i(all_57_10))
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | | REF_CLOSE: (3), (17), (64) are inconsistent by sub-proof #798.
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | Case 2:
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | |   (65)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.38/31.57  | | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.38/31.57  | | | | | | |           all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.38/31.57  | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.38/31.57  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 194.38/31.57  | | | | | | |             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.38/31.57  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.38/31.57  | | | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 194.38/31.57  | | | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.38/31.57  | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 194.38/31.57  | | | | | | |             e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | | REF_CLOSE: (1), (3), (4), (47), (50), (65) are inconsistent by
% 194.38/31.57  | | | | | | |            sub-proof #218.
% 194.38/31.57  | | | | | | | 
% 194.38/31.57  | | | | | | End of split
% 194.38/31.57  | | | | | | 
% 194.38/31.57  | | | | | End of split
% 194.38/31.57  | | | | | 
% 194.38/31.57  | | | | Case 2:
% 194.38/31.57  | | | | | 
% 194.38/31.57  | | | | |   (66)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.38/31.57  | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 194.38/31.57  | | | | |           & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.38/31.57  | | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 194.38/31.57  | | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 194.38/31.57  | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 194.38/31.57  | | | | |           = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.38/31.57  | | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 194.38/31.57  | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.38/31.57  | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.38/31.57  | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.38/31.57  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 194.38/31.57  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.38/31.57  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 194.38/31.57  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 194.38/31.57  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.38/31.57  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 194.38/31.57  | | | | |           & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 = e0)
% 194.38/31.57  | | | | |           & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.38/31.57  | | | | |           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.38/31.57  | | | | |         | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 194.38/31.57  | | | | |           (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.38/31.57  | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.38/31.57  | | | | |           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 194.38/31.57  | | | | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.38/31.57  | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 194.38/31.57  | | | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 194.38/31.57  | | | | |           & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0)
% 194.38/31.57  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 194.38/31.57  | | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14))
% 194.38/31.57  | | | | |         | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.38/31.57  | | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.38/31.57  | | | | |                 e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 194.38/31.57  | | | | |                 e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.38/31.57  | | | | |               = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 194.38/31.57  | | | | |                 e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.38/31.57  | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.38/31.57  | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.38/31.57  | | | | |               & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.38/31.57  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 194.38/31.57  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.38/31.57  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.38/31.57  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.38/31.57  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 194.38/31.57  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.38/31.57  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.38/31.57  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.38/31.57  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.38/31.57  | | | | |               $i(all_57_7))))
% 194.38/31.57  | | | | | 
% 194.38/31.57  | | | | | BETA: splitting (66) gives:
% 194.38/31.57  | | | | | 
% 194.38/31.57  | | | | | Case 1:
% 194.38/31.57  | | | | | | 
% 194.38/31.58  | | | | | |   (67)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.38/31.58  | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 194.38/31.58  | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 194.38/31.58  | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 & all_57_10
% 194.38/31.58  | | | | | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3,
% 194.38/31.58  | | | | | |             e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.38/31.58  | | | | | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.38/31.58  | | | | | |           $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 194.38/31.58  | | | | | |           (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.38/31.58  | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 194.38/31.58  | | | | | |           op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.38/31.58  | | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.38/31.58  | | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 194.38/31.58  | | | | | |           e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.38/31.58  | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 194.38/31.58  | | | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1)
% 194.38/31.58  | | | | | |           & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 194.38/31.58  | | | | | |           e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.38/31.58  | | | | | |           $i(all_57_13))
% 194.38/31.58  | | | | | | 
% 194.38/31.58  | | | | | | BETA: splitting (67) gives:
% 194.38/31.58  | | | | | | 
% 194.38/31.58  | | | | | | Case 1:
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | |   (68)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.38/31.58  | | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 194.38/31.58  | | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 194.38/31.58  | | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 194.38/31.58  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 194.38/31.58  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.38/31.58  | | | | | | |             e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.38/31.58  | | | | | | |           $i(all_57_12))
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | | REF_CLOSE: (3), (17), (21), (50), (52), (68) are inconsistent by
% 194.38/31.58  | | | | | | |            sub-proof #676.
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | Case 2:
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | |   (69)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.38/31.58  | | | | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) =
% 194.38/31.58  | | | | | | |           e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 194.38/31.58  | | | | | | |           $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 194.38/31.58  | | | | | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 194.38/31.58  | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.38/31.58  | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10)
% 194.38/31.58  | | | | | | |           & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 194.38/31.58  | | | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 194.38/31.58  | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1,
% 194.38/31.58  | | | | | | |             e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | | REF_CLOSE: (3), (12), (21), (26), (50), (69) are inconsistent by
% 194.38/31.58  | | | | | | |            sub-proof #1382.
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | End of split
% 194.38/31.58  | | | | | | 
% 194.38/31.58  | | | | | Case 2:
% 194.38/31.58  | | | | | | 
% 194.38/31.58  | | | | | |   (70)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.38/31.58  | | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9
% 194.38/31.58  | | | | | |           & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 194.38/31.58  | | | | | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 194.38/31.58  | | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.38/31.58  | | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1,
% 194.38/31.58  | | | | | |             e0) = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 =
% 194.38/31.58  | | | | | |           e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13
% 194.38/31.58  | | | | | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.38/31.58  | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.38/31.58  | | | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 194.38/31.58  | | | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.38/31.58  | | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 194.38/31.58  | | | | | |             e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0)
% 194.38/31.58  | | | | | |           = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 194.38/31.58  | | | | | |               = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.38/31.58  | | | | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 194.38/31.58  | | | | | |               e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &
% 194.38/31.58  | | | | | |                ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3)
% 194.38/31.58  | | | | | |               = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.38/31.58  | | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.38/31.58  | | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.38/31.58  | | | | | |               e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.38/31.58  | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 194.38/31.58  | | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.38/31.58  | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.38/31.58  | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.38/31.58  | | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.38/31.58  | | | | | |               e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.38/31.58  | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.38/31.58  | | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.38/31.58  | | | | | |               e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.38/31.58  | | | | | |               $i(all_57_7))))
% 194.38/31.58  | | | | | | 
% 194.38/31.58  | | | | | | BETA: splitting (70) gives:
% 194.38/31.58  | | | | | | 
% 194.38/31.58  | | | | | | Case 1:
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | |   (71)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.38/31.58  | | | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 194.38/31.58  | | | | | | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.38/31.58  | | | | | | |           $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 194.38/31.58  | | | | | | |           all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 194.38/31.58  | | | | | | |             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1,
% 194.38/31.58  | | | | | | |             e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.38/31.58  | | | | | | |           $i(all_57_14))
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | | REF_CLOSE: (3), (17), (23), (71) are inconsistent by sub-proof
% 194.38/31.58  | | | | | | |            #819.
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | Case 2:
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | |   (72)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) & 
% 194.38/31.58  | | | | | | |           ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0)
% 194.38/31.58  | | | | | | |           = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.38/31.58  | | | | | | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 194.38/31.58  | | | | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 194.38/31.58  | | | | | | |             e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.38/31.58  | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11)
% 194.38/31.58  | | | | | | |           & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.38/31.58  | | | | | | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 194.38/31.58  | | | | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.38/31.58  | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.38/31.58  | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.38/31.58  | | | | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.38/31.58  | | | | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.38/31.58  | | | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.38/31.58  | | | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.38/31.58  | | | | | | |               e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.38/31.58  | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 194.38/31.58  | | | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.38/31.58  | | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.38/31.58  | | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.38/31.58  | | | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.38/31.58  | | | | | | |               e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.38/31.58  | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.38/31.58  | | | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.38/31.58  | | | | | | |               e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.38/31.58  | | | | | | |               $i(all_57_7))))
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | | BETA: splitting (72) gives:
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | | Case 1:
% 194.38/31.58  | | | | | | | | 
% 194.38/31.58  | | | | | | | |   (73)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) & 
% 194.38/31.58  | | | | | | | |         ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0)
% 194.38/31.58  | | | | | | | |         = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.38/31.58  | | | | | | | |         $i(all_57_12) & $i(all_57_13)
% 194.38/31.58  | | | | | | | | 
% 194.38/31.58  | | | | | | | | ALPHA: (73) implies:
% 194.38/31.58  | | | | | | | |   (74)  op(e1, e1) = e0
% 194.38/31.58  | | | | | | | | 
% 194.38/31.58  | | | | | | | | REF_CLOSE: (3), (53), (54), (74) are inconsistent by sub-proof
% 194.38/31.58  | | | | | | | |            #1959.
% 194.38/31.58  | | | | | | | | 
% 194.38/31.58  | | | | | | | Case 2:
% 194.38/31.58  | | | | | | | | 
% 194.38/31.58  | | | | | | | |   (75)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &
% 194.38/31.58  | | | | | | | |            ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 194.38/31.58  | | | | | | | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.38/31.58  | | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.38/31.58  | | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.38/31.58  | | | | | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.38/31.58  | | | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 194.38/31.58  | | | | | | | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 194.38/31.58  | | | | | | | |             (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 194.38/31.58  | | | | | | | |               &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.38/31.58  | | | | | | | |               op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 194.38/31.58  | | | | | | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.38/31.58  | | | | | | | |                 e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 194.38/31.58  | | | | | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.38/31.58  | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 & 
% 194.38/31.58  | | | | | | | |               ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 194.38/31.58  | | | | | | | |                 e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.38/31.58  | | | | | | | |               e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 194.38/31.58  | | | | | | | |               e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.38/31.58  | | | | | | | |               op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.38/31.58  | | | | | | | |                 e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.38/31.58  | | | | | | | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.38/31.58  | | | | | | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.38/31.58  | | | | | | | |               all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.38/31.58  | | | | | | | | 
% 194.38/31.58  | | | | | | | | BETA: splitting (75) gives:
% 194.38/31.58  | | | | | | | | 
% 194.38/31.58  | | | | | | | | Case 1:
% 194.38/31.58  | | | | | | | | | 
% 194.38/31.58  | | | | | | | | |   (76)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 194.38/31.58  | | | | | | | | |         &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 194.38/31.58  | | | | | | | | |         all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.38/31.58  | | | | | | | | |         $i(all_57_11) & $i(all_57_14)
% 194.38/31.58  | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | ALPHA: (76) implies:
% 194.38/31.58  | | | | | | | | |   (77)  op(e1, e0) = e1
% 194.38/31.58  | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | REF_CLOSE: (3), (11), (48), (77) are inconsistent by sub-proof
% 194.38/31.58  | | | | | | | | |            #1958.
% 194.38/31.58  | | | | | | | | | 
% 194.38/31.58  | | | | | | | | Case 2:
% 194.38/31.58  | | | | | | | | | 
% 194.38/31.58  | | | | | | | | |   (78)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 194.38/31.58  | | | | | | | | |             e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.38/31.58  | | | | | | | | |             (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 194.38/31.58  | | | | | | | | |               e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 194.38/31.58  | | | | | | | | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 194.38/31.58  | | | | | | | | |             &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.38/31.58  | | | | | | | | |             op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 194.38/31.58  | | | | | | | | |           | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.38/31.58  | | | | | | | | |               e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 194.38/31.58  | | | | | | | | |             op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.38/31.58  | | | | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 & 
% 194.38/31.58  | | | | | | | | |             ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 194.38/31.58  | | | | | | | | |               e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.38/31.58  | | | | | | | | |             e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 194.38/31.58  | | | | | | | | |             e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.38/31.58  | | | | | | | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.38/31.58  | | | | | | | | |               e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.38/31.58  | | | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.38/31.58  | | | | | | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.38/31.58  | | | | | | | | |             all_57_7 & op(e0, e1) = e0 & $i(all_57_7)))
% 194.38/31.58  | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | ALPHA: (78) implies:
% 194.38/31.58  | | | | | | | | |   (79)  op(e0, e0) = all_57_15
% 194.38/31.58  | | | | | | | | |   (80)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &
% 194.38/31.58  | | | | | | | | |            ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 194.38/31.58  | | | | | | | | |             e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 194.38/31.58  | | | | | | | | |         (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.38/31.58  | | | | | | | | |            ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 194.38/31.58  | | | | | | | | |             e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.38/31.58  | | | | | | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &
% 194.38/31.58  | | | | | | | | |            ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.38/31.58  | | | | | | | | |           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.38/31.58  | | | | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 194.38/31.58  | | | | | | | | |            ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1,
% 194.38/31.58  | | | | | | | | |             e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.38/31.58  | | | | | | | | |         (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &
% 194.38/31.58  | | | | | | | | |            ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.38/31.58  | | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.38/31.58  | | | | | | | | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 194.38/31.58  | | | | | | | | |            ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.38/31.58  | | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.38/31.58  | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | BETA: splitting (80) gives:
% 194.38/31.58  | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | Case 1:
% 194.38/31.58  | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | |   (81)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2)
% 194.38/31.58  | | | | | | | | | |           &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.38/31.58  | | | | | | | | | |           op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0))
% 194.38/31.58  | | | | | | | | | |         | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.38/31.58  | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.38/31.58  | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.38/31.58  | | | | | | | | | |           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 & 
% 194.38/31.58  | | | | | | | | | |           ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 194.38/31.58  | | | | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 194.38/31.58  | | | | | | | | | |           e0 & $i(all_57_3))
% 194.38/31.58  | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | BETA: splitting (81) gives:
% 194.38/31.58  | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | Case 1:
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | |   (82)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.38/31.58  | | | | | | | | | | |           e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.38/31.58  | | | | | | | | | | |         all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.38/31.58  | | | | | | | | | | |         $i(all_57_0)
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | ALPHA: (82) implies:
% 194.38/31.58  | | | | | | | | | | |   (83)   ~ (all_57_15 = e3)
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | REF_CLOSE: (3), (21), (79), (83) are inconsistent by
% 194.38/31.58  | | | | | | | | | | |            sub-proof #1276.
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | Case 2:
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | |   (84)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.38/31.58  | | | | | | | | | | |             e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.38/31.58  | | | | | | | | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.38/31.58  | | | | | | | | | | |           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 194.38/31.58  | | | | | | | | | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.38/31.58  | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 194.38/31.58  | | | | | | | | | | |             e2) = e0 & $i(all_57_3))
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | BETA: splitting (84) gives:
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | Case 1:
% 194.38/31.58  | | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | |   (85)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.38/31.58  | | | | | | | | | | | |           e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.38/31.58  | | | | | | | | | | | |         all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.38/31.58  | | | | | | | | | | | |         $i(all_57_1)
% 194.38/31.58  | | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | | ALPHA: (85) implies:
% 194.38/31.58  | | | | | | | | | | | |   (86)   ~ (all_57_15 = e3)
% 194.38/31.58  | | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | | REF_CLOSE: (3), (21), (79), (86) are inconsistent by
% 194.38/31.58  | | | | | | | | | | | |            sub-proof #1276.
% 194.38/31.58  | | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | Case 2:
% 194.38/31.58  | | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | |   (87)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.38/31.58  | | | | | | | | | | | |           e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 194.38/31.58  | | | | | | | | | | | |         op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.38/31.58  | | | | | | | | | | | |         $i(all_57_3)
% 194.38/31.58  | | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | | ALPHA: (87) implies:
% 194.38/31.58  | | | | | | | | | | | |   (88)  op(e0, e2) = e0
% 194.38/31.58  | | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | | REF_CLOSE: (3), (6), (9), (10), (22), (88) are inconsistent
% 194.38/31.58  | | | | | | | | | | | |            by sub-proof #157.
% 194.38/31.58  | | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | End of split
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | End of split
% 194.38/31.58  | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | Case 2:
% 194.38/31.58  | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | |   (89)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1)
% 194.38/31.58  | | | | | | | | | |           &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 &
% 194.38/31.58  | | | | | | | | | |           op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4))
% 194.38/31.58  | | | | | | | | | |         | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 194.38/31.58  | | | | | | | | | |             e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 194.38/31.58  | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.38/31.58  | | | | | | | | | |           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 & 
% 194.38/31.58  | | | | | | | | | |           ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 194.38/31.58  | | | | | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 194.38/31.58  | | | | | | | | | |           e0 & $i(all_57_7))
% 194.38/31.58  | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | BETA: splitting (89) gives:
% 194.38/31.58  | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | Case 1:
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | |   (90)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.38/31.58  | | | | | | | | | | |           e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.38/31.58  | | | | | | | | | | |         all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.38/31.58  | | | | | | | | | | |         $i(all_57_4)
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | ALPHA: (90) implies:
% 194.38/31.58  | | | | | | | | | | |   (91)  op(e0, e2) = e0
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | REF_CLOSE: (3), (6), (9), (10), (22), (91) are inconsistent
% 194.38/31.58  | | | | | | | | | | |            by sub-proof #157.
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | Case 2:
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | |   (92)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 194.38/31.58  | | | | | | | | | | |             e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 194.38/31.58  | | | | | | | | | | |           op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.38/31.58  | | | | | | | | | | |           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 194.38/31.58  | | | | | | | | | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.38/31.58  | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.38/31.58  | | | | | | | | | | |             e1) = e0 & $i(all_57_7))
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | | REF_CLOSE: (3), (4), (17), (50), (52), (92) are inconsistent
% 194.38/31.58  | | | | | | | | | | |            by sub-proof #101.
% 194.38/31.58  | | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | | End of split
% 194.38/31.58  | | | | | | | | | | 
% 194.38/31.58  | | | | | | | | | End of split
% 194.38/31.58  | | | | | | | | | 
% 194.38/31.58  | | | | | | | | End of split
% 194.38/31.58  | | | | | | | | 
% 194.38/31.58  | | | | | | | End of split
% 194.38/31.58  | | | | | | | 
% 194.38/31.58  | | | | | | End of split
% 194.38/31.58  | | | | | | 
% 194.38/31.58  | | | | | End of split
% 194.38/31.58  | | | | | 
% 194.38/31.58  | | | | End of split
% 194.38/31.58  | | | | 
% 194.38/31.58  | | | Case 2:
% 194.38/31.58  | | | | 
% 194.38/31.58  | | | |   (93)  all_54_10 = e0
% 194.38/31.58  | | | | 
% 194.38/31.58  | | | | REF_CLOSE: (8), (18), (93) are inconsistent by sub-proof #932.
% 194.38/31.58  | | | | 
% 194.38/31.58  | | | End of split
% 194.38/31.58  | | | 
% 194.38/31.58  | | End of split
% 194.38/31.58  | | 
% 194.38/31.58  | End of split
% 194.38/31.58  | 
% 194.38/31.58  End of proof
% 194.38/31.58  
% 194.38/31.58  Sub-proof #101 shows that the following formulas are inconsistent:
% 194.38/31.58  ----------------------------------------------------------------
% 194.38/31.58    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.58    (2)  op(e2, e2) = e3
% 194.38/31.58    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.38/31.58             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.38/31.58           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 194.38/31.58           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.38/31.58             e1) = e0 & $i(all_57_7))
% 194.38/31.58    (4)  op(e3, e3) = e2
% 194.38/31.58    (5)   ~ (e2 = e1)
% 194.38/31.58    (6)   ~ (e3 = e1)
% 194.38/31.58  
% 194.38/31.58  Begin of proof
% 194.38/31.58  | 
% 194.38/31.58  | BETA: splitting (3) gives:
% 194.38/31.58  | 
% 194.38/31.58  | Case 1:
% 194.38/31.58  | | 
% 194.38/31.58  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.38/31.58  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.38/31.58  | |        $i(all_57_6)
% 194.38/31.58  | | 
% 194.38/31.58  | | ALPHA: (7) implies:
% 194.38/31.58  | |   (8)  op(e3, e3) = e1
% 194.38/31.58  | | 
% 194.38/31.58  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1934.
% 194.38/31.58  | | 
% 194.38/31.58  | Case 2:
% 194.38/31.58  | | 
% 194.38/31.58  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.38/31.58  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.38/31.58  | |        $i(all_57_7)
% 194.38/31.58  | | 
% 194.38/31.58  | | ALPHA: (9) implies:
% 194.38/31.58  | |   (10)  op(e2, e2) = e1
% 194.38/31.58  | | 
% 194.38/31.58  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1679.
% 194.38/31.58  | | 
% 194.38/31.58  | End of split
% 194.38/31.58  | 
% 194.38/31.58  End of proof
% 194.38/31.58  
% 194.38/31.58  Sub-proof #102 shows that the following formulas are inconsistent:
% 194.38/31.58  ----------------------------------------------------------------
% 194.38/31.58    (1)   ~ (all_52_4 = e3)
% 194.38/31.58    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.58    (3)  op(e3, e2) = all_52_4
% 194.38/31.58    (4)   ~ (all_57_15 = e3)
% 194.38/31.58    (5)   ~ (all_52_4 = e2)
% 194.38/31.58    (6)  op(e0, e3) = e0
% 194.38/31.58    (7)  op(e0, e0) = all_57_15
% 194.38/31.58    (8)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.38/31.58           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.38/31.58           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.38/31.58                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.38/31.58               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.38/31.58               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.38/31.58           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.38/31.58           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.58               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.38/31.58           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.38/31.58               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.38/31.58           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.38/31.58           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.38/31.58               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.58               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.58               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.58         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.38/31.58           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.38/31.58           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.38/31.58               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.58             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.38/31.58    (9)  op(e3, e3) = e2
% 194.38/31.58    (10)   ~ (e2 = e1)
% 194.38/31.58  
% 194.38/31.58  Begin of proof
% 194.38/31.58  | 
% 194.38/31.58  | BETA: splitting (8) gives:
% 194.38/31.58  | 
% 194.38/31.58  | Case 1:
% 194.38/31.58  | | 
% 194.38/31.58  | |   (11)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.38/31.58  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.38/31.58  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.38/31.58  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.38/31.58  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.38/31.58  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 194.38/31.58  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.38/31.58  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 194.38/31.58  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.38/31.58  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.38/31.58  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.38/31.58  | |               $i(all_57_2))))
% 194.38/31.58  | | 
% 194.38/31.58  | | REF_CLOSE: (1), (2), (3), (5), (11) are inconsistent by sub-proof #195.
% 194.38/31.58  | | 
% 194.38/31.58  | Case 2:
% 194.38/31.58  | | 
% 194.38/31.58  | |   (12)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.38/31.58  | |           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.38/31.58  | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.38/31.58  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.38/31.58  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.58  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6
% 194.38/31.58  | |           = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.38/31.58  | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 =
% 194.38/31.58  | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.38/31.58  | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.38/31.58  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.38/31.58  | |               $i(all_57_2))))
% 194.38/31.58  | | 
% 194.38/31.58  | | BETA: splitting (12) gives:
% 194.38/31.58  | | 
% 194.38/31.58  | | Case 1:
% 194.38/31.58  | | | 
% 194.38/31.58  | | |   (13)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.38/31.58  | | |         op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.38/31.58  | | |         $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.38/31.58  | | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.38/31.58  | | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.58  | | |               e1) = all_57_8 & $i(all_57_8)))
% 194.38/31.58  | | | 
% 194.38/31.58  | | | ALPHA: (13) implies:
% 194.38/31.58  | | |   (14)  op(e3, e3) = e1
% 194.38/31.58  | | | 
% 194.38/31.58  | | | REF_CLOSE: (2), (9), (10), (14) are inconsistent by sub-proof #1934.
% 194.38/31.58  | | | 
% 194.38/31.58  | | Case 2:
% 194.38/31.58  | | | 
% 194.38/31.58  | | |   (15)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.38/31.58  | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.38/31.58  | | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.38/31.58  | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.58  | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.38/31.58  | | |               e3) = all_57_2 & $i(all_57_2)))
% 194.38/31.58  | | | 
% 194.38/31.58  | | | ALPHA: (15) implies:
% 194.38/31.58  | | |   (16)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.38/31.58  | | |             e3) = all_57_2 & $i(all_57_2))
% 194.38/31.58  | | | 
% 194.38/31.58  | | | REF_CLOSE: (2), (4), (6), (7), (16) are inconsistent by sub-proof #1275.
% 194.38/31.58  | | | 
% 194.38/31.58  | | End of split
% 194.38/31.58  | | 
% 194.38/31.58  | End of split
% 194.38/31.58  | 
% 194.38/31.58  End of proof
% 194.38/31.58  
% 194.38/31.58  Sub-proof #103 shows that the following formulas are inconsistent:
% 194.38/31.58  ----------------------------------------------------------------
% 194.38/31.58    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 194.38/31.58    (2)   ~ (e3 = e2)
% 194.38/31.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.58    (4)  op(e3, e2) = all_52_4
% 194.38/31.58    (5)  op(e2, e2) = e3
% 194.38/31.58    (6)   ~ (all_52_4 = e2)
% 194.38/31.58  
% 194.38/31.58  Begin of proof
% 194.38/31.58  | 
% 194.38/31.58  | BETA: splitting (1) gives:
% 194.38/31.58  | 
% 194.38/31.58  | Case 1:
% 194.38/31.58  | | 
% 194.38/31.58  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 194.38/31.58  | | 
% 194.38/31.58  | | ALPHA: (7) implies:
% 194.38/31.58  | |   (8)  op(e3, e2) = e2
% 194.38/31.58  | | 
% 194.38/31.58  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #825.
% 194.38/31.58  | | 
% 194.38/31.58  | Case 2:
% 194.38/31.58  | | 
% 194.38/31.58  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 194.38/31.58  | | 
% 194.38/31.58  | | ALPHA: (9) implies:
% 194.38/31.58  | |   (10)  op(e2, e2) = e2
% 194.38/31.58  | | 
% 194.38/31.58  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #214.
% 194.38/31.58  | | 
% 194.38/31.58  | End of split
% 194.38/31.58  | 
% 194.38/31.58  End of proof
% 194.38/31.58  
% 194.38/31.58  Sub-proof #104 shows that the following formulas are inconsistent:
% 194.38/31.58  ----------------------------------------------------------------
% 194.38/31.58    (1)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 194.38/31.58    (2)  op(e0, e0) = e1
% 194.38/31.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.58    (4)  op(e0, e1) = all_52_11
% 194.38/31.58    (5)   ~ (all_52_11 = e3)
% 194.38/31.58    (6)   ~ (e3 = e1)
% 194.38/31.58  
% 194.38/31.58  Begin of proof
% 194.38/31.58  | 
% 194.38/31.58  | BETA: splitting (1) gives:
% 194.38/31.58  | 
% 194.38/31.58  | Case 1:
% 194.38/31.58  | | 
% 194.38/31.58  | |   (7)  all_56_14 = e3 & op(e0, e1) = e3
% 194.38/31.58  | | 
% 194.38/31.58  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #154.
% 194.38/31.58  | | 
% 194.38/31.58  | Case 2:
% 194.38/31.58  | | 
% 194.38/31.58  | |   (8)  all_56_15 = e3 & op(e0, e0) = e3
% 194.38/31.58  | | 
% 194.38/31.58  | | ALPHA: (8) implies:
% 194.38/31.58  | |   (9)  op(e0, e0) = e3
% 194.38/31.58  | | 
% 194.38/31.58  | | REF_CLOSE: (2), (3), (6), (9) are inconsistent by sub-proof #1392.
% 194.38/31.58  | | 
% 194.38/31.58  | End of split
% 194.38/31.58  | 
% 194.38/31.58  End of proof
% 194.38/31.58  
% 194.38/31.58  Sub-proof #105 shows that the following formulas are inconsistent:
% 194.38/31.58  ----------------------------------------------------------------
% 194.38/31.58    (1)  op(e0, e0) = e1
% 194.38/31.58    (2)  op(e1, e2) = e1
% 194.38/31.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.58    (4)  op(e2, e2) = e3
% 194.38/31.58    (5)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.38/31.58             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.38/31.58           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 194.38/31.58           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.38/31.58             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.38/31.58           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.38/31.58           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.38/31.58    (6)  op(e0, e0) = all_57_15
% 194.38/31.58    (7)   ~ (e3 = e1)
% 194.38/31.58  
% 194.38/31.58  Begin of proof
% 194.38/31.58  | 
% 194.38/31.58  | BETA: splitting (5) gives:
% 194.38/31.58  | 
% 194.38/31.58  | Case 1:
% 194.38/31.58  | | 
% 194.38/31.58  | |   (8)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.38/31.58  | |          e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.38/31.58  | |        $i(all_57_4)
% 194.38/31.58  | | 
% 194.38/31.58  | | ALPHA: (8) implies:
% 194.38/31.58  | |   (9)   ~ (all_57_4 = e1)
% 194.38/31.58  | |   (10)  op(e1, e2) = all_57_4
% 194.38/31.58  | | 
% 194.38/31.58  | | REF_CLOSE: (2), (3), (9), (10) are inconsistent by sub-proof #1303.
% 194.38/31.58  | | 
% 194.38/31.58  | Case 2:
% 194.38/31.58  | | 
% 194.38/31.58  | |   (11)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.38/31.58  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.38/31.58  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.38/31.58  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 194.38/31.58  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.38/31.58  | | 
% 194.38/31.58  | | BETA: splitting (11) gives:
% 194.38/31.58  | | 
% 194.38/31.58  | | Case 1:
% 194.38/31.58  | | | 
% 194.38/31.58  | | |   (12)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.38/31.58  | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.38/31.58  | | |         op(e0, e1) = e0 & $i(all_57_6)
% 194.38/31.58  | | | 
% 194.38/31.58  | | | ALPHA: (12) implies:
% 194.38/31.58  | | |   (13)   ~ (all_57_15 = e1)
% 194.38/31.58  | | | 
% 194.38/31.58  | | | REF_CLOSE: (1), (3), (6), (13) are inconsistent by sub-proof #499.
% 194.38/31.58  | | | 
% 194.38/31.58  | | Case 2:
% 194.38/31.58  | | | 
% 194.38/31.58  | | |   (14)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.38/31.58  | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.38/31.58  | | |         op(e0, e1) = e0 & $i(all_57_7)
% 194.38/31.58  | | | 
% 194.38/31.58  | | | ALPHA: (14) implies:
% 194.38/31.58  | | |   (15)  op(e2, e2) = e1
% 194.38/31.58  | | | 
% 194.38/31.58  | | | REF_CLOSE: (3), (4), (7), (15) are inconsistent by sub-proof #1679.
% 194.38/31.58  | | | 
% 194.38/31.58  | | End of split
% 194.38/31.58  | | 
% 194.38/31.58  | End of split
% 194.38/31.58  | 
% 194.38/31.58  End of proof
% 194.38/31.58  
% 194.38/31.58  Sub-proof #106 shows that the following formulas are inconsistent:
% 194.38/31.58  ----------------------------------------------------------------
% 194.38/31.58    (1)   ~ (all_52_4 = e3)
% 194.38/31.59    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.38/31.59           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.38/31.59           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.38/31.59                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.38/31.59               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.38/31.59               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.38/31.59           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.38/31.59           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.59               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.38/31.59           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.38/31.59               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.38/31.59           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.38/31.59           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.38/31.59               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.59               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.59               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.59         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.38/31.59           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.38/31.59           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.38/31.59               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.59             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.59         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.38/31.59           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.38/31.59           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.38/31.59                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.38/31.59               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.38/31.59               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.38/31.59           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.38/31.59           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.38/31.59             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.59           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.38/31.59               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.38/31.59           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.38/31.59           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.38/31.59               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.59               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.59               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.59         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.38/31.59           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.38/31.59           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.38/31.59               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.38/31.59             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.59         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.38/31.59           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.38/31.59           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.38/31.59                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.38/31.59               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.59               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.38/31.59           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.38/31.59             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.59               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.59           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.38/31.59               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.38/31.59           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.38/31.59           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.38/31.59               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.59               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.59               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.38/31.59         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.38/31.59           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.38/31.59           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.38/31.59               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.38/31.59             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.38/31.59         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.38/31.59             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.59           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.38/31.59               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.38/31.59             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.38/31.59         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.38/31.59             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.59           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.38/31.59               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.38/31.59             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.59         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.38/31.59             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.59           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.38/31.59               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.38/31.59             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.59         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.38/31.59             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.59           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.38/31.59               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.38/31.59             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.38/31.59    (3)   ~ (all_52_11 = e1)
% 194.38/31.59    (4)  op(e0, e0) = e1
% 194.38/31.59    (5)  op(e3, e0) = e3
% 194.38/31.59    (6)  op(e1, e2) = e1
% 194.38/31.59    (7)   ~ (e3 = e2)
% 194.38/31.59    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.59    (9)  op(e3, e2) = all_52_4
% 194.38/31.59    (10)  op(e2, e2) = e3
% 194.38/31.59    (11)  op(e3, e3) = e1
% 194.38/31.59    (12)   ~ (all_57_15 = e3)
% 194.38/31.59    (13)   ~ (all_52_3 = all_52_7)
% 194.38/31.59    (14)  op(e0, e3) = all_52_3
% 194.38/31.59    (15)  op(e0, e3) = e0
% 194.38/31.59    (16)  op(e0, e0) = all_57_15
% 194.38/31.59    (17)  op(e0, e1) = all_52_11
% 194.38/31.59    (18)   ~ (all_52_8 = all_52_12)
% 194.38/31.59    (19)   ~ (e1 = e0)
% 194.38/31.59    (20)  op(e3, e0) = all_52_12
% 194.38/31.59    (21)  op(e3, e1) = all_52_8
% 194.38/31.59    (22)   ~ (e3 = e1)
% 194.38/31.59    (23)  op(e0, e2) = all_52_7
% 194.38/31.59    (24)  op(e1, e1) = e3
% 194.38/31.59    (25)   ~ (e3 = e0)
% 194.38/31.59    (26)   ~ (all_52_3 = all_52_11)
% 194.38/31.59  
% 194.38/31.59  Begin of proof
% 194.38/31.59  | 
% 194.38/31.59  | BETA: splitting (2) gives:
% 194.38/31.59  | 
% 194.38/31.59  | Case 1:
% 194.38/31.59  | | 
% 194.38/31.59  | |   (27)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.38/31.59  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.38/31.59  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.38/31.59  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.38/31.59  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.38/31.59  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 194.38/31.59  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.38/31.59  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 194.38/31.59  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.38/31.59  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.38/31.59  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.38/31.59  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 194.38/31.59  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 194.38/31.59  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.38/31.59  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.59  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.59  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.59  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.38/31.59  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.38/31.59  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.38/31.59  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.59  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.38/31.59  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 194.38/31.59  | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0,
% 194.38/31.59  | |             e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 194.38/31.59  | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.38/31.59  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 194.38/31.59  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.59  | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15
% 194.38/31.59  | |           = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0
% 194.38/31.59  | |           & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 194.38/31.59  | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.38/31.59  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.59  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.38/31.59  | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.38/31.59  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.38/31.59  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.38/31.59  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.59  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.59  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 194.38/31.59  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.38/31.59  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 194.38/31.59  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.38/31.59  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.38/31.59  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.38/31.59  | |               $i(all_57_5))))
% 194.38/31.59  | | 
% 194.38/31.59  | | BETA: splitting (27) gives:
% 194.38/31.59  | | 
% 194.38/31.59  | | Case 1:
% 194.38/31.59  | | | 
% 194.38/31.59  | | |   (28)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 194.38/31.59  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.38/31.59  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.38/31.59  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.38/31.59  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.38/31.59  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 194.38/31.59  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.38/31.59  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 194.38/31.59  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.38/31.59  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 194.38/31.59  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.38/31.59  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 194.38/31.59  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 194.38/31.59  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.38/31.59  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.38/31.59  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.38/31.59  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.38/31.59  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 194.38/31.59  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.38/31.59  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 194.38/31.59  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.38/31.59  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.38/31.59  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.38/31.59  | | |               $i(all_57_2))))
% 194.38/31.59  | | | 
% 194.38/31.59  | | | BETA: splitting (28) gives:
% 194.38/31.59  | | | 
% 194.38/31.59  | | | Case 1:
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | |   (29)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 194.38/31.59  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 194.38/31.59  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 194.38/31.59  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.38/31.59  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.38/31.59  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.38/31.59  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 194.38/31.59  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 194.38/31.59  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.59  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.38/31.59  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.59  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | | REF_CLOSE: (1), (8), (9), (12), (15), (16), (29) are inconsistent by
% 194.38/31.59  | | | |            sub-proof #216.
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | Case 2:
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | |   (30)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 194.38/31.59  | | | |           e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 194.38/31.59  | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 194.38/31.59  | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.59  | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.59  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 194.38/31.59  | | | |         | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.38/31.59  | | | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 194.38/31.59  | | | |           e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.38/31.59  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.59  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.59  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | | BETA: splitting (30) gives:
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | | Case 1:
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | |   (31)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 194.38/31.59  | | | | |         e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 194.38/31.59  | | | | |         all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 194.38/31.59  | | | | |             e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.59  | | | | |             $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.59  | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | ALPHA: (31) implies:
% 194.38/31.59  | | | | |   (32)  op(e3, e1) = e3
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | REF_CLOSE: (5), (8), (18), (20), (21), (32) are inconsistent by
% 194.38/31.59  | | | | |            sub-proof #1912.
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | Case 2:
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | |   (33)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.38/31.59  | | | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 194.38/31.59  | | | | |         e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.38/31.59  | | | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.38/31.59  | | | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.59  | | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | ALPHA: (33) implies:
% 194.38/31.59  | | | | |   (34)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.59  | | | | |           op(e0, e3) = all_57_2 & $i(all_57_2))
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | REF_CLOSE: (8), (12), (15), (16), (34) are inconsistent by sub-proof
% 194.38/31.59  | | | | |            #1275.
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | End of split
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | End of split
% 194.38/31.59  | | | 
% 194.38/31.59  | | Case 2:
% 194.38/31.59  | | | 
% 194.38/31.59  | | |   (35)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 194.38/31.59  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.38/31.59  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.59  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 194.38/31.59  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.38/31.59  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.38/31.59  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.38/31.59  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.38/31.59  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.38/31.59  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 194.38/31.59  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.38/31.59  | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2
% 194.38/31.59  | | |           & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1,
% 194.38/31.59  | | |             e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.38/31.59  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.38/31.59  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.38/31.59  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.38/31.59  | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 194.38/31.59  | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.38/31.59  | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 194.38/31.59  | | |               = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.38/31.59  | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.38/31.59  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.38/31.59  | | |               $i(all_57_5))))
% 194.38/31.59  | | | 
% 194.38/31.59  | | | BETA: splitting (35) gives:
% 194.38/31.59  | | | 
% 194.38/31.59  | | | Case 1:
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | |   (36)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 194.38/31.59  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 194.38/31.59  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 194.38/31.59  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.38/31.59  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 194.38/31.59  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.59  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 194.38/31.59  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.38/31.59  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.38/31.59  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.38/31.59  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.38/31.59  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.38/31.59  | | | |               all_57_1 & $i(all_57_1))))
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | | REF_CLOSE: (5), (8), (11), (19), (25), (36) are inconsistent by
% 194.38/31.59  | | | |            sub-proof #506.
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | Case 2:
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | |   (37)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 194.38/31.59  | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 194.38/31.59  | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.38/31.59  | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.59  | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.38/31.59  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 194.38/31.59  | | | |         | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.38/31.59  | | | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 194.38/31.59  | | | |           e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.59  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.59  | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.38/31.59  | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | | REF_CLOSE: (7), (8), (10), (22), (24), (37) are inconsistent by
% 194.38/31.59  | | | |            sub-proof #151.
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | End of split
% 194.38/31.59  | | | 
% 194.38/31.59  | | End of split
% 194.38/31.59  | | 
% 194.38/31.59  | Case 2:
% 194.38/31.59  | | 
% 194.38/31.59  | |   (38)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.38/31.59  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.38/31.59  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.38/31.59  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.59  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.38/31.59  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.38/31.59  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 194.38/31.59  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.38/31.59  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.38/31.59  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 194.38/31.59  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.38/31.59  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 194.38/31.59  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.38/31.59  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 194.38/31.59  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.59  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.59  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.38/31.59  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.38/31.59  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.38/31.59  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.38/31.59  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.59  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 194.38/31.59  | |                 e1) = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 194.38/31.59  | |             e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.38/31.59  | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.38/31.59  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.38/31.59  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.38/31.59  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.38/31.59  | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 194.38/31.59  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.38/31.59  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 194.38/31.59  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.38/31.59  | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.38/31.59  | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.38/31.59  | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 194.38/31.59  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.59  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.38/31.59  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.38/31.59  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.59  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 194.38/31.59  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.38/31.59  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 194.38/31.59  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.38/31.59  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 194.38/31.59  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.59  | |               $i(all_57_13))))
% 194.38/31.59  | | 
% 194.38/31.59  | | BETA: splitting (38) gives:
% 194.38/31.59  | | 
% 194.38/31.59  | | Case 1:
% 194.38/31.59  | | | 
% 194.38/31.59  | | |   (39)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 194.38/31.59  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.38/31.59  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.38/31.59  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.59  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.38/31.59  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.38/31.59  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 194.38/31.59  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.38/31.59  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.59  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.59  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.38/31.59  | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 194.38/31.59  | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 194.38/31.59  | | |           e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.38/31.59  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.38/31.59  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.38/31.59  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.38/31.59  | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 194.38/31.59  | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.38/31.59  | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10
% 194.38/31.59  | | |               = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.38/31.59  | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 194.38/31.59  | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.38/31.59  | | |               $i(all_57_7))))
% 194.38/31.59  | | | 
% 194.38/31.59  | | | BETA: splitting (39) gives:
% 194.38/31.59  | | | 
% 194.38/31.59  | | | Case 1:
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | |   (40)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 194.38/31.59  | | | |           e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 194.38/31.59  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 194.38/31.59  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.59  | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 194.38/31.59  | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.59  | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 194.38/31.59  | | | |           all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.38/31.59  | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.38/31.59  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.38/31.59  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.38/31.59  | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 194.38/31.59  | | | |               all_57_4 & $i(all_57_4))))
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | | BETA: splitting (40) gives:
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | | Case 1:
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | |   (41)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 194.38/31.59  | | | | |         e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 194.38/31.59  | | | | |         all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 194.38/31.59  | | | | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.59  | | | | |             $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 194.38/31.59  | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.59  | | | | |             $i(all_57_13)))
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | ALPHA: (41) implies:
% 194.38/31.59  | | | | |   (42)  op(e2, e2) = e0
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | REF_CLOSE: (8), (10), (25), (42) are inconsistent by sub-proof #202.
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | Case 2:
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | |   (43)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 194.38/31.59  | | | | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) =
% 194.38/31.59  | | | | |         e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.59  | | | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.59  | | | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.38/31.59  | | | | |             op(e1, e2) = all_57_4 & $i(all_57_4)))
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | ALPHA: (43) implies:
% 194.38/31.59  | | | | |   (44)  op(e0, e2) = e0
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | REF_CLOSE: (8), (13), (14), (15), (23), (44) are inconsistent by
% 194.38/31.59  | | | | |            sub-proof #157.
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | End of split
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | Case 2:
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | |   (45)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 194.38/31.59  | | | |           e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 194.38/31.59  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 194.38/31.59  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.59  | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.59  | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.38/31.59  | | | |               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 194.38/31.59  | | | |           all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.38/31.59  | | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.38/31.59  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.38/31.59  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.38/31.59  | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.38/31.59  | | | |               all_57_7 & $i(all_57_7))))
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | | BETA: splitting (45) gives:
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | | Case 1:
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | |   (46)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 194.38/31.59  | | | | |         e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 194.38/31.59  | | | | |         all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 194.38/31.59  | | | | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.59  | | | | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.59  | | | | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.38/31.59  | | | | |             $i(all_57_11)))
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | ALPHA: (46) implies:
% 194.38/31.59  | | | | |   (47)  op(e0, e1) = e1
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | REF_CLOSE: (3), (8), (17), (47) are inconsistent by sub-proof #1885.
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | Case 2:
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | |   (48)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.38/31.59  | | | | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) =
% 194.38/31.59  | | | | |         e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.38/31.59  | | | | |             (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.59  | | | | |         ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.38/31.59  | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7)))
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | ALPHA: (48) implies:
% 194.38/31.59  | | | | |   (49)  op(e0, e1) = e0
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | | REF_CLOSE: (8), (14), (15), (17), (26), (49) are inconsistent by
% 194.38/31.59  | | | | |            sub-proof #1671.
% 194.38/31.59  | | | | | 
% 194.38/31.59  | | | | End of split
% 194.38/31.59  | | | | 
% 194.38/31.59  | | | End of split
% 194.38/31.59  | | | 
% 194.38/31.59  | | Case 2:
% 194.38/31.59  | | | 
% 194.38/31.59  | | |   (50)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 194.38/31.59  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.38/31.59  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.38/31.59  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.38/31.59  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.59  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 194.38/31.59  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.59  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.59  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.38/31.59  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.38/31.59  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.38/31.59  | | |               all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) =
% 194.38/31.59  | | |           e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.38/31.59  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 194.38/31.59  | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.38/31.59  | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 194.38/31.59  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.38/31.59  | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 194.38/31.60  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.38/31.60  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.38/31.60  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.38/31.60  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 194.38/31.60  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.38/31.60  | | |               $i(all_57_13))))
% 194.38/31.60  | | | 
% 194.38/31.60  | | | BETA: splitting (50) gives:
% 194.38/31.60  | | | 
% 194.38/31.60  | | | Case 1:
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | |   (51)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 194.38/31.60  | | | |                 e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 194.38/31.60  | | | |               & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 194.38/31.60  | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 194.38/31.60  | | | |           & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.60  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2
% 194.38/31.60  | | | |           & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.60  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.60  | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.38/31.60  | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 194.38/31.60  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.38/31.60  | | | |               all_57_5 & $i(all_57_5))))
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | | BETA: splitting (51) gives:
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | | Case 1:
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | |   (52)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 194.38/31.60  | | | | |               e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 194.38/31.60  | | | | |             & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 194.38/31.60  | | | | |             ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 194.38/31.60  | | | | |         & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.60  | | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | ALPHA: (52) implies:
% 194.38/31.60  | | | | |   (53)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.38/31.60  | | | | |           op(e0, e3) = all_57_2 & $i(all_57_2))
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | REF_CLOSE: (8), (12), (15), (16), (53) are inconsistent by sub-proof
% 194.38/31.60  | | | | |            #1275.
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | Case 2:
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | |   (54)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3,
% 194.38/31.60  | | | | |               e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3
% 194.38/31.60  | | | | |             & $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | (
% 194.38/31.60  | | | | |             ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 194.38/31.60  | | | | |         & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.38/31.60  | | | | |             op(e0, e2) = all_57_5 & $i(all_57_5)))
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | ALPHA: (54) implies:
% 194.38/31.60  | | | | |   (55)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.38/31.60  | | | | |           op(e1, e2) = all_57_4 & $i(all_57_4))
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | REF_CLOSE: (6), (7), (8), (24), (55) are inconsistent by sub-proof
% 194.38/31.60  | | | | |            #879.
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | End of split
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | Case 2:
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | |   (56)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 194.38/31.60  | | | |                 e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 194.38/31.60  | | | |               & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 194.38/31.60  | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 194.38/31.60  | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 194.38/31.60  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0
% 194.38/31.60  | | | |           & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.38/31.60  | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.60  | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.38/31.60  | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 194.38/31.60  | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 194.38/31.60  | | | |               = all_57_13 & $i(all_57_13))))
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | | REF_CLOSE: (4), (8), (19), (22), (24), (56) are inconsistent by
% 194.38/31.60  | | | |            sub-proof #866.
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | End of split
% 194.38/31.60  | | | 
% 194.38/31.60  | | End of split
% 194.38/31.60  | | 
% 194.38/31.60  | End of split
% 194.38/31.60  | 
% 194.38/31.60  End of proof
% 194.38/31.60  
% 194.38/31.60  Sub-proof #107 shows that the following formulas are inconsistent:
% 194.38/31.60  ----------------------------------------------------------------
% 194.38/31.60    (1)  op(e0, e0) = e1
% 194.38/31.60    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.60    (3)  op(e2, e2) = e3
% 194.38/31.60    (4)   ~ (e2 = e1)
% 194.38/31.60    (5)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 194.38/31.60             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.38/31.60           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.38/31.60           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 194.38/31.60           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 194.38/31.60           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.38/31.60    (6)   ~ (e3 = e1)
% 194.38/31.60  
% 194.38/31.60  Begin of proof
% 194.38/31.60  | 
% 194.38/31.60  | BETA: splitting (5) gives:
% 194.38/31.60  | 
% 194.38/31.60  | Case 1:
% 194.38/31.60  | | 
% 194.38/31.60  | |   (7)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 194.38/31.60  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.38/31.60  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 194.38/31.60  | | 
% 194.38/31.60  | | ALPHA: (7) implies:
% 194.38/31.60  | |   (8)  op(e0, e0) = e2
% 194.38/31.60  | | 
% 194.38/31.60  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1780.
% 194.38/31.60  | | 
% 194.38/31.60  | Case 2:
% 194.38/31.60  | | 
% 194.38/31.60  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 194.38/31.60  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.38/31.60  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 194.38/31.60  | | 
% 194.38/31.60  | | ALPHA: (9) implies:
% 194.38/31.60  | |   (10)  op(e2, e2) = e1
% 194.38/31.60  | | 
% 194.38/31.60  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1679.
% 194.38/31.60  | | 
% 194.38/31.60  | End of split
% 194.38/31.60  | 
% 194.38/31.60  End of proof
% 194.38/31.60  
% 194.38/31.60  Sub-proof #108 shows that the following formulas are inconsistent:
% 194.38/31.60  ----------------------------------------------------------------
% 194.38/31.60    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.38/31.60             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.38/31.60           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.38/31.60               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.38/31.60             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.38/31.60         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.38/31.60             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.38/31.60           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.38/31.60               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.38/31.60             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.38/31.60    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.60    (3)  op(e2, e2) = e3
% 194.38/31.60    (4)  op(e2, e0) = e2
% 194.38/31.60    (5)  op(e1, e1) = e0
% 194.38/31.60    (6)   ~ (e1 = e0)
% 194.38/31.60    (7)   ~ (e3 = e0)
% 194.38/31.60  
% 194.38/31.60  Begin of proof
% 194.38/31.60  | 
% 194.38/31.60  | BETA: splitting (1) gives:
% 194.38/31.60  | 
% 194.38/31.60  | Case 1:
% 194.38/31.60  | | 
% 194.38/31.60  | |   (8)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 194.38/31.60  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.38/31.60  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.38/31.60  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.38/31.60  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.38/31.60  | |              e1) = all_57_8 & $i(all_57_8)))
% 194.38/31.60  | | 
% 194.38/31.60  | | ALPHA: (8) implies:
% 194.38/31.60  | |   (9)  op(e1, e1) = e1
% 194.38/31.60  | | 
% 194.38/31.60  | | REF_CLOSE: (2), (5), (6), (9) are inconsistent by sub-proof #1959.
% 194.38/31.60  | | 
% 194.38/31.60  | Case 2:
% 194.38/31.60  | | 
% 194.38/31.60  | |   (10)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 194.38/31.60  | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.38/31.60  | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.38/31.60  | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.38/31.60  | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.38/31.60  | |               e0) = all_57_13 & $i(all_57_13)))
% 194.38/31.60  | | 
% 194.38/31.60  | | ALPHA: (10) implies:
% 194.38/31.60  | |   (11)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.38/31.60  | |             e0) = all_57_11 & $i(all_57_11))
% 194.38/31.60  | | 
% 194.38/31.60  | | REF_CLOSE: (2), (3), (4), (7), (11) are inconsistent by sub-proof #165.
% 194.38/31.60  | | 
% 194.38/31.60  | End of split
% 194.38/31.60  | 
% 194.38/31.60  End of proof
% 194.38/31.60  
% 194.38/31.60  Sub-proof #109 shows that the following formulas are inconsistent:
% 194.38/31.60  ----------------------------------------------------------------
% 194.38/31.60    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.60    (2)  op(e2, e1) = e1
% 194.38/31.60    (3)   ~ (all_52_8 = e2)
% 194.38/31.60    (4)   ~ (e2 = e1)
% 194.38/31.60    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 194.38/31.60    (6)  op(e3, e1) = all_52_8
% 194.38/31.60  
% 194.38/31.60  Begin of proof
% 194.38/31.60  | 
% 194.38/31.60  | BETA: splitting (5) gives:
% 194.38/31.60  | 
% 194.38/31.60  | Case 1:
% 194.38/31.60  | | 
% 194.38/31.60  | |   (7)  all_56_4 = e2 & op(e3, e1) = e2
% 194.38/31.60  | | 
% 194.38/31.60  | | REF_CLOSE: (1), (3), (6), (7) are inconsistent by sub-proof #810.
% 194.38/31.60  | | 
% 194.38/31.60  | Case 2:
% 194.38/31.60  | | 
% 194.38/31.60  | |   (8)  all_56_5 = e2 & op(e2, e1) = e2
% 194.38/31.60  | | 
% 194.38/31.60  | | ALPHA: (8) implies:
% 194.38/31.60  | |   (9)  op(e2, e1) = e2
% 194.38/31.60  | | 
% 194.38/31.60  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1441.
% 194.38/31.60  | | 
% 194.38/31.60  | End of split
% 194.38/31.60  | 
% 194.38/31.60  End of proof
% 194.38/31.60  
% 194.38/31.60  Sub-proof #110 shows that the following formulas are inconsistent:
% 194.38/31.60  ----------------------------------------------------------------
% 194.38/31.60    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.60    (2)  op(e2, e2) = e3
% 194.38/31.60    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.38/31.60           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.38/31.60           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.38/31.60                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.38/31.60               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.38/31.60               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.38/31.60           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 194.38/31.60           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.38/31.60               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.38/31.60           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.38/31.60               = all_57_5 & $i(all_57_5))))
% 194.38/31.60    (4)  op(e1, e1) = e0
% 194.38/31.60    (5)   ~ (e3 = e1)
% 194.38/31.60    (6)   ~ (e2 = e0)
% 194.38/31.60  
% 194.38/31.60  Begin of proof
% 194.38/31.60  | 
% 194.38/31.60  | BETA: splitting (3) gives:
% 194.38/31.60  | 
% 194.38/31.60  | Case 1:
% 194.38/31.60  | | 
% 194.38/31.60  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.38/31.60  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.38/31.60  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.38/31.60  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 194.38/31.60  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.38/31.60  | |            & $i(all_57_8)))
% 194.38/31.60  | | 
% 194.38/31.60  | | ALPHA: (7) implies:
% 194.38/31.60  | |   (8)  op(e2, e2) = e1
% 194.38/31.60  | | 
% 194.38/31.60  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1679.
% 194.38/31.60  | | 
% 194.38/31.60  | Case 2:
% 194.38/31.60  | | 
% 194.38/31.60  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.38/31.60  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.38/31.60  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.38/31.60  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.38/31.60  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 194.38/31.60  | |            & $i(all_57_5)))
% 194.38/31.60  | | 
% 194.38/31.60  | | ALPHA: (9) implies:
% 194.38/31.60  | |   (10)  op(e1, e1) = e2
% 194.38/31.60  | | 
% 194.38/31.60  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1821.
% 194.38/31.60  | | 
% 194.38/31.60  | End of split
% 194.38/31.60  | 
% 194.38/31.60  End of proof
% 194.38/31.60  
% 194.38/31.60  Sub-proof #111 shows that the following formulas are inconsistent:
% 194.38/31.60  ----------------------------------------------------------------
% 194.38/31.60    (1)   ~ (all_52_14 = e0)
% 194.38/31.60    (2)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.38/31.60    (3)  all_54_3 = all_52_12
% 194.38/31.60    (4)  all_54_6 = all_52_9
% 194.38/31.60    (5)  op(e0, e0) = e1
% 194.38/31.60    (6)  all_54_2 = all_52_8
% 194.38/31.60    (7)   ~ (e3 = e2)
% 194.38/31.60    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.60    (9)   ~ (all_52_9 = e0)
% 194.38/31.60    (10)  all_22_1 = e3
% 194.38/31.60    (11)   ~ (all_52_12 = all_52_13)
% 194.38/31.60    (12)   ~ (all_52_9 = e3)
% 194.38/31.60    (13)   ~ (all_52_8 = e3)
% 194.38/31.60    (14)  op(e2, e0) = all_52_13
% 194.38/31.60    (15)  op(e1, e0) = all_52_14
% 194.38/31.60    (16)   ~ (all_14_0 = e2)
% 194.38/31.60    (17)  op(all_22_1, e1) = all_22_0
% 194.38/31.60    (18)   ~ (all_52_8 = all_52_9)
% 194.38/31.60    (19)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 194.38/31.60    (20)   ~ (all_22_0 = e2)
% 194.38/31.60    (21)  all_56_11 = e3
% 194.38/31.60    (22)   ~ (all_52_12 = e3)
% 194.38/31.60    (23)  all_14_1 = e3
% 194.38/31.60    (24)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 194.38/31.60    (25)   ~ (e1 = e0)
% 194.38/31.60    (26)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.38/31.60              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.38/31.60                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.38/31.60                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.38/31.60    (27)   ~ (e2 = e1)
% 194.38/31.60    (28)   ~ (all_52_12 = e1)
% 194.38/31.60    (29)  op(all_14_1, e0) = all_14_0
% 194.38/31.60    (30)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.38/31.60          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.38/31.60    (31)  op(e3, e0) = all_52_12
% 194.38/31.60    (32)  op(e2, e1) = all_52_9
% 194.38/31.60    (33)  op(e3, e1) = all_52_8
% 194.38/31.60    (34)   ~ (all_52_9 = all_52_13)
% 194.38/31.60    (35)   ~ (e2 = e0)
% 194.38/31.60    (36)   ~ (all_52_8 = e0)
% 194.38/31.60  
% 194.38/31.60  Begin of proof
% 194.38/31.60  | 
% 194.38/31.60  | REDUCE: (10), (17) imply:
% 194.38/31.60  |   (37)  op(e3, e1) = all_22_0
% 194.38/31.60  | 
% 194.38/31.60  | REDUCE: (23), (29) imply:
% 194.38/31.60  |   (38)  op(e3, e0) = all_14_0
% 194.38/31.60  | 
% 194.38/31.60  | GROUND_INST: instantiating (8) with all_52_12, all_14_0, e0, e3, simplifying
% 194.38/31.60  |              with (31), (38) gives:
% 194.38/31.60  |   (39)  all_52_12 = all_14_0
% 194.38/31.60  | 
% 194.38/31.60  | GROUND_INST: instantiating (8) with all_52_8, all_22_0, e1, e3, simplifying
% 194.38/31.60  |              with (33), (37) gives:
% 194.38/31.60  |   (40)  all_52_8 = all_22_0
% 194.38/31.60  | 
% 194.38/31.60  | COMBINE_EQS: (3), (39) imply:
% 194.38/31.60  |   (41)  all_54_3 = all_14_0
% 194.38/31.60  | 
% 194.38/31.60  | COMBINE_EQS: (6), (40) imply:
% 194.38/31.60  |   (42)  all_54_2 = all_22_0
% 194.38/31.60  | 
% 194.38/31.60  | REDUCE: (18), (40) imply:
% 194.38/31.60  |   (43)   ~ (all_52_9 = all_22_0)
% 194.38/31.60  | 
% 194.38/31.60  | SIMP: (43) implies:
% 194.38/31.60  |   (44)   ~ (all_52_9 = all_22_0)
% 194.38/31.60  | 
% 194.38/31.60  | REDUCE: (13), (40) imply:
% 194.38/31.60  |   (45)   ~ (all_22_0 = e3)
% 194.38/31.60  | 
% 194.38/31.60  | REDUCE: (36), (40) imply:
% 194.38/31.60  |   (46)   ~ (all_22_0 = e0)
% 194.38/31.60  | 
% 194.38/31.60  | REDUCE: (11), (39) imply:
% 194.38/31.60  |   (47)   ~ (all_52_13 = all_14_0)
% 194.38/31.60  | 
% 194.38/31.60  | SIMP: (47) implies:
% 194.38/31.60  |   (48)   ~ (all_52_13 = all_14_0)
% 194.38/31.60  | 
% 194.38/31.60  | REDUCE: (22), (39) imply:
% 194.38/31.60  |   (49)   ~ (all_14_0 = e3)
% 194.38/31.60  | 
% 194.38/31.60  | REDUCE: (28), (39) imply:
% 194.38/31.60  |   (50)   ~ (all_14_0 = e1)
% 194.38/31.60  | 
% 194.38/31.60  | BETA: splitting (30) gives:
% 194.38/31.60  | 
% 194.38/31.60  | Case 1:
% 194.38/31.60  | | 
% 194.38/31.60  | |   (51)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 194.38/31.60  | |           e2)
% 194.38/31.60  | | 
% 194.38/31.60  | | BETA: splitting (51) gives:
% 194.38/31.60  | | 
% 194.38/31.60  | | Case 1:
% 194.38/31.60  | | | 
% 194.38/31.60  | | |   (52)  all_56_9 = e2 & op(e3, e0) = e2
% 194.38/31.60  | | | 
% 194.38/31.60  | | | ALPHA: (52) implies:
% 194.38/31.60  | | |   (53)  all_56_9 = e2
% 194.38/31.60  | | | 
% 194.38/31.60  | | | BETA: splitting (2) gives:
% 194.38/31.60  | | | 
% 194.38/31.60  | | | Case 1:
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | |   (54)  all_54_3 = e3
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | | REF_CLOSE: (41), (49), (54) are inconsistent by sub-proof #112.
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | Case 2:
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | |   (55)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | | BETA: splitting (26) gives:
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | | Case 1:
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | |   (56)  all_56_15 = e0 & op(e0, e0) = e0
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | ALPHA: (56) implies:
% 194.38/31.60  | | | | |   (57)  op(e0, e0) = e0
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | REF_CLOSE: (5), (8), (25), (57) are inconsistent by sub-proof #1943.
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | Case 2:
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | |   (58)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 194.38/31.60  | | | | |               e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 194.38/31.60  | | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 194.38/31.60  | | | | |               e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | ALPHA: (58) implies:
% 194.38/31.60  | | | | |   (59)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 194.38/31.60  | | | | |             e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | BETA: splitting (59) gives:
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | Case 1:
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | |   (60)  all_56_9 = e0 & op(e3, e0) = e0
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | | REF_CLOSE: (35), (53), (60) are inconsistent by sub-proof #1572.
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | Case 2:
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | |   (61)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 194.38/31.60  | | | | | |           op(e1, e0) = e0)
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | | BETA: splitting (61) gives:
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | | Case 1:
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | |   (62)  all_56_10 = e0 & op(e2, e0) = e0
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | | ALPHA: (62) implies:
% 194.38/31.60  | | | | | | |   (63)  op(e2, e0) = e0
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | | REF_CLOSE: (8), (14), (16), (41), (48), (50), (55), (63) are
% 194.38/31.60  | | | | | | |            inconsistent by sub-proof #122.
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | Case 2:
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | |   (64)  all_56_11 = e0 & op(e1, e0) = e0
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | | ALPHA: (64) implies:
% 194.38/31.60  | | | | | | |   (65)  op(e1, e0) = e0
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | | REF_CLOSE: (1), (8), (15), (65) are inconsistent by sub-proof
% 194.38/31.60  | | | | | | |            #1884.
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | End of split
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | End of split
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | End of split
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | End of split
% 194.38/31.60  | | | 
% 194.38/31.60  | | Case 2:
% 194.38/31.60  | | | 
% 194.38/31.60  | | |   (66)  all_56_10 = e2 & op(e2, e0) = e2
% 194.38/31.60  | | | 
% 194.38/31.60  | | | ALPHA: (66) implies:
% 194.38/31.60  | | |   (67)  op(e2, e0) = e2
% 194.38/31.60  | | | 
% 194.38/31.60  | | | BETA: splitting (24) gives:
% 194.38/31.60  | | | 
% 194.38/31.60  | | | Case 1:
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | |   (68)  all_54_2 = e3
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | | REF_CLOSE: (42), (45), (68) are inconsistent by sub-proof #192.
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | Case 2:
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | |   (69)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | | BETA: splitting (69) gives:
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | | Case 1:
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | |   (70)  all_54_2 = e2
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | REF_CLOSE: (20), (42), (70) are inconsistent by sub-proof #191.
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | Case 2:
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | |   (71)  all_54_2 = e1 | all_54_2 = e0
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | BETA: splitting (71) gives:
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | | Case 1:
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | |   (72)  all_54_2 = e1
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | | COMBINE_EQS: (42), (72) imply:
% 194.38/31.60  | | | | | |   (73)  all_22_0 = e1
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | | SIMP: (73) implies:
% 194.38/31.60  | | | | | |   (74)  all_22_0 = e1
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | | REDUCE: (44), (74) imply:
% 194.38/31.60  | | | | | |   (75)   ~ (all_52_9 = e1)
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | | BETA: splitting (19) gives:
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | | Case 1:
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | |   (76)  all_54_6 = e3
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | | COMBINE_EQS: (4), (76) imply:
% 194.38/31.60  | | | | | | |   (77)  all_52_9 = e3
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | | REDUCE: (12), (77) imply:
% 194.38/31.60  | | | | | | |   (78)  $false
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | | CLOSE: (78) is inconsistent.
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | Case 2:
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | |   (79)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | | BETA: splitting (79) gives:
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | | Case 1:
% 194.38/31.60  | | | | | | | | 
% 194.38/31.60  | | | | | | | |   (80)  all_54_6 = e2
% 194.38/31.60  | | | | | | | | 
% 194.38/31.60  | | | | | | | | COMBINE_EQS: (4), (80) imply:
% 194.38/31.60  | | | | | | | |   (81)  all_52_9 = e2
% 194.38/31.60  | | | | | | | | 
% 194.38/31.60  | | | | | | | | REDUCE: (32), (81) imply:
% 194.38/31.60  | | | | | | | |   (82)  op(e2, e1) = e2
% 194.38/31.60  | | | | | | | | 
% 194.38/31.60  | | | | | | | | REF_CLOSE: (8), (14), (32), (34), (67), (82) are inconsistent by
% 194.38/31.60  | | | | | | | |            sub-proof #1887.
% 194.38/31.60  | | | | | | | | 
% 194.38/31.60  | | | | | | | Case 2:
% 194.38/31.60  | | | | | | | | 
% 194.38/31.60  | | | | | | | |   (83)  all_54_6 = e1 | all_54_6 = e0
% 194.38/31.60  | | | | | | | | 
% 194.38/31.60  | | | | | | | | REF_CLOSE: (4), (9), (75), (83) are inconsistent by sub-proof
% 194.38/31.60  | | | | | | | |            #708.
% 194.38/31.60  | | | | | | | | 
% 194.38/31.60  | | | | | | | End of split
% 194.38/31.60  | | | | | | | 
% 194.38/31.60  | | | | | | End of split
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | Case 2:
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | |   (84)  all_54_2 = e0
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | | REF_CLOSE: (42), (46), (84) are inconsistent by sub-proof #190.
% 194.38/31.60  | | | | | | 
% 194.38/31.60  | | | | | End of split
% 194.38/31.60  | | | | | 
% 194.38/31.60  | | | | End of split
% 194.38/31.60  | | | | 
% 194.38/31.60  | | | End of split
% 194.38/31.60  | | | 
% 194.38/31.60  | | End of split
% 194.38/31.60  | | 
% 194.38/31.60  | Case 2:
% 194.38/31.60  | | 
% 194.38/31.60  | |   (85)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 194.38/31.60  | |           e2)
% 194.38/31.60  | | 
% 194.38/31.60  | | REF_CLOSE: (5), (7), (8), (21), (27), (85) are inconsistent by sub-proof
% 194.38/31.60  | |            #592.
% 194.38/31.60  | | 
% 194.38/31.60  | End of split
% 194.38/31.60  | 
% 194.38/31.60  End of proof
% 194.38/31.60  
% 194.38/31.60  Sub-proof #112 shows that the following formulas are inconsistent:
% 194.38/31.60  ----------------------------------------------------------------
% 194.38/31.60    (1)  all_54_3 = all_14_0
% 194.38/31.60    (2)  all_54_3 = e3
% 194.38/31.60    (3)   ~ (all_14_0 = e3)
% 194.38/31.60  
% 194.38/31.60  Begin of proof
% 194.38/31.60  | 
% 194.38/31.60  | COMBINE_EQS: (1), (2) imply:
% 194.38/31.60  |   (4)  all_14_0 = e3
% 194.38/31.60  | 
% 194.38/31.60  | SIMP: (4) implies:
% 194.38/31.60  |   (5)  all_14_0 = e3
% 194.38/31.60  | 
% 194.38/31.60  | REDUCE: (3), (5) imply:
% 194.38/31.60  |   (6)  $false
% 194.38/31.60  | 
% 194.38/31.60  | CLOSE: (6) is inconsistent.
% 194.38/31.60  | 
% 194.38/31.60  End of proof
% 194.38/31.60  
% 194.38/31.60  Sub-proof #113 shows that the following formulas are inconsistent:
% 194.38/31.60  ----------------------------------------------------------------
% 194.38/31.60    (1)   ~ (all_4_1 = e1) & op(e2, e3) = all_4_1 & $i(all_4_1)
% 194.38/31.60    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.38/31.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.38/31.60    (3)  op(e2, e3) = e1
% 194.38/31.60  
% 194.38/31.60  Begin of proof
% 194.38/31.60  | 
% 194.38/31.60  | ALPHA: (1) implies:
% 194.38/31.60  |   (4)   ~ (all_4_1 = e1)
% 194.38/31.60  |   (5)  op(e2, e3) = all_4_1
% 194.38/31.60  | 
% 194.38/31.60  | GROUND_INST: instantiating (2) with e1, all_4_1, e3, e2, simplifying with (3),
% 194.38/31.60  |              (5) gives:
% 194.38/31.60  |   (6)  all_4_1 = e1
% 194.38/31.60  | 
% 194.38/31.60  | REDUCE: (4), (6) imply:
% 194.38/31.60  |   (7)  $false
% 194.38/31.60  | 
% 194.38/31.60  | CLOSE: (7) is inconsistent.
% 194.38/31.60  | 
% 194.38/31.60  End of proof
% 194.38/31.60  
% 194.38/31.60  Sub-proof #114 shows that the following formulas are inconsistent:
% 194.38/31.60  ----------------------------------------------------------------
% 194.38/31.60    (1)   ~ (all_52_4 = e3)
% 194.38/31.60    (2)  op(e1, e1) = e1
% 194.38/31.60    (3)  op(e1, e3) = all_52_2
% 194.38/31.60    (4)  all_56_1 = e1
% 194.51/31.61    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.51/31.61           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.51/31.61           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.51/31.61                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.51/31.61               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.51/31.61               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.51/31.61           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.51/31.61           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.61               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.51/31.61           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.51/31.61               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.51/31.61           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.51/31.61           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.51/31.61               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.61               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.51/31.61               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.61         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.51/31.61           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.51/31.61           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.51/31.61               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.51/31.61             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.61         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.51/31.61           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.51/31.61           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.51/31.61                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.51/31.61               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.51/31.61               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.51/31.61           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.51/31.61           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.51/31.61             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.61           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.51/31.61               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.51/31.61           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.51/31.61           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.51/31.61               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.51/31.61               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.51/31.61               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.61         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.51/31.61           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.51/31.61           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.51/31.61               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.51/31.61             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.61         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.51/31.61           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.51/31.61           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.51/31.61                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.51/31.61               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.51/31.61               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.51/31.61           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.51/31.61             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.51/31.61               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.61           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.51/31.61               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.51/31.61           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.51/31.61           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.51/31.61               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.61               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.61               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.51/31.61         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.51/31.61           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.51/31.61           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.51/31.61               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.51/31.61             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.51/31.61         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.51/31.61             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.61           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.51/31.61               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.51/31.61             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.61         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.51/31.61             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.61           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.51/31.61               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.51/31.61             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.61         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.51/31.61             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.51/31.61           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.51/31.61               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.51/31.61             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.61         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.51/31.61             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.51/31.61           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.51/31.61               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.51/31.61             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.51/31.61    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.51/31.61         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.51/31.61    (7)   ~ (all_52_3 = e1)
% 194.51/31.61    (8)  op(e1, e2) = all_52_6
% 194.51/31.61    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.51/31.61         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.51/31.61    (10)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.51/31.61    (11)  all_54_3 = all_52_12
% 194.51/31.61    (12)   ~ (all_52_3 = e3)
% 194.51/31.61    (13)   ~ (all_52_11 = e1)
% 194.51/31.61    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.51/31.61          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.51/31.61    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.51/31.61          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.51/31.61    (16)   ~ (all_52_1 = all_52_9)
% 194.51/31.61    (17)   ~ (all_52_6 = all_52_7)
% 194.51/31.61    (18)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.51/31.61          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.51/31.61    (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.51/31.61          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.51/31.61    (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.51/31.61          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.51/31.61    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.61            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.61    (22)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 194.51/31.61            all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e0,
% 194.51/31.61              e1) = all_14_1 & $i(all_14_1))
% 194.51/31.61    (23)   ~ (all_52_9 = e1)
% 194.51/31.61    (24)  op(e3, e2) = all_52_4
% 194.51/31.61    (25)  op(e2, e2) = e3
% 194.51/31.61    (26)   ~ (all_52_12 = all_52_13)
% 194.51/31.61    (27)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.51/31.61    (28)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.51/31.61          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.51/31.61    (29)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.51/31.61          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.51/31.61    (30)   ~ (all_52_9 = e3)
% 194.51/31.61    (31)  all_54_12 = all_52_3
% 194.51/31.61    (32)  op(e1, e2) = all_4_0
% 194.51/31.61    (33)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.51/31.61          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.51/31.61    (34)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.51/31.61          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 194.51/31.61            e1)
% 194.51/31.61    (35)  all_54_10 = all_10_2
% 194.51/31.61    (36)  all_54_9 = all_52_6
% 194.51/31.61    (37)   ~ (all_52_8 = e3)
% 194.51/31.61    (38)  op(e0, e3) = all_52_3
% 194.51/31.61    (39)  op(e0, e1) = all_16_1
% 194.51/31.61    (40)  op(e2, e0) = all_52_13
% 194.51/31.61    (41)  op(e1, e0) = all_52_14
% 194.51/31.61    (42)  all_54_8 = all_52_2
% 194.51/31.61    (43)   ~ (all_16_1 = e2)
% 194.51/31.61    (44)   ~ (all_52_2 = all_52_14)
% 194.51/31.61    (45)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.51/31.61              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.51/31.61            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.51/31.61            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.51/31.61            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.51/31.61            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.51/31.61            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.51/31.61            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.51/31.61            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.51/31.61            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.51/31.61            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.51/31.61            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.51/31.61            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.51/31.61            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.51/31.61            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.51/31.61            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.51/31.61            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.51/31.61            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.51/31.61            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.51/31.61            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.51/31.61            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.51/31.61            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.51/31.61            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.51/31.61            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.51/31.61            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.51/31.61            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.51/31.61            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.51/31.61            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.51/31.61            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.61            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.51/31.61            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.51/31.61            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.51/31.61            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.51/31.61            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.51/31.61            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.61            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.51/31.61            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.61            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.51/31.61            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.51/31.61            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.61            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.51/31.61            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.51/31.61            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.51/31.61            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.51/31.61            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.51/31.61            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.51/31.61            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.51/31.61            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.51/31.61              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.51/31.61            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.51/31.61            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.51/31.61              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.51/31.61            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.51/31.61            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.51/31.61                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.51/31.61                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.61                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.51/31.61                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.51/31.61                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.51/31.61                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.51/31.61                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.51/31.61              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.51/31.61                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.51/31.61                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.51/31.61                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.51/31.61                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.51/31.61                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.51/31.61                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.51/31.61                $i(all_57_7))))
% 194.51/31.61    (46)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.51/31.61          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.51/31.61    (47)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.51/31.61          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.51/31.61    (48)  all_54_10 = e1 | all_54_10 = e0
% 194.51/31.61    (49)   ~ (all_52_7 = e1)
% 194.51/31.61    (50)  all_56_11 = e3
% 194.51/31.61    (51)  op(e0, e1) = all_52_11
% 194.51/31.61    (52)  op(e3, e3) = e3
% 194.51/31.61    (53)   ~ (all_52_12 = e3)
% 194.51/31.61    (54)  op(e1, e1) = all_10_2
% 194.51/31.61    (55)   ~ (all_52_2 = e3)
% 194.51/31.61    (56)  all_56_14 = e3
% 194.51/31.61    (57)   ~ (all_52_14 = e1)
% 194.51/31.61    (58)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.51/31.61    (59)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.51/31.61          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.51/31.61    (60)   ~ (e1 = e0)
% 194.51/31.61    (61)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 194.51/31.61          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 194.51/31.61    (62)  all_56_2 = e1
% 194.51/31.61    (63)  all_56_3 = e3
% 194.51/31.61    (64)   ~ (all_52_6 = e3)
% 194.51/31.61    (65)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.51/31.61          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.51/31.61    (66)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.51/31.61          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.51/31.61    (67)   ~ (all_10_2 = e0)
% 194.51/31.61    (68)  op(e0, e1) = e3
% 194.51/31.61    (69)   ~ (all_52_2 = all_52_6)
% 194.51/31.61    (70)   ~ (e2 = e1)
% 194.51/31.61    (71)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.51/31.61          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.51/31.61    (72)   ~ (all_52_12 = e1)
% 194.51/31.61    (73)   ~ (all_52_2 = e1)
% 194.51/31.61    (74)  op(e3, e0) = all_52_12
% 194.51/31.61    (75)   ~ (all_52_2 = all_52_3)
% 194.51/31.61    (76)   ~ (all_10_2 = e2)
% 194.51/31.61    (77)  op(e2, e1) = all_52_9
% 194.51/31.61    (78)  op(e3, e1) = all_52_8
% 194.51/31.61    (79)   ~ (all_52_9 = all_52_13)
% 194.51/31.61    (80)   ~ (e3 = e1)
% 194.51/31.61    (81)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.51/31.61          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.51/31.61    (82)   ~ (all_52_6 = e1)
% 194.51/31.61    (83)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.51/31.61          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.51/31.61    (84)  op(e0, e2) = all_52_7
% 194.51/31.61    (85)   ~ (e2 = e0)
% 194.51/31.61    (86)  op(e2, e3) = all_52_1
% 194.51/31.61    (87)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.51/31.61    (88)   ~ (e3 = e0)
% 194.51/31.61    (89)   ~ (all_4_0 = e0)
% 194.51/31.61  
% 194.51/31.61  Begin of proof
% 194.51/31.61  | 
% 194.51/31.61  | BETA: splitting (22) gives:
% 194.51/31.61  | 
% 194.51/31.61  | Case 1:
% 194.51/31.61  | | 
% 194.51/31.61  | |   (90)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 194.51/31.61  | |         all_14_1 & $i(all_14_0) & $i(all_14_1)
% 194.51/31.61  | | 
% 194.51/31.61  | | ALPHA: (90) implies:
% 194.51/31.61  | |   (91)   ~ (all_14_0 = e2)
% 194.51/31.61  | |   (92)  op(e0, e1) = all_14_1
% 194.51/31.61  | |   (93)  op(all_14_1, e0) = all_14_0
% 194.51/31.61  | | 
% 194.51/31.61  | | GROUND_INST: instantiating (21) with e3, all_16_1, e1, e0, simplifying with
% 194.51/31.61  | |              (39), (68) gives:
% 194.51/31.61  | |   (94)  all_16_1 = e3
% 194.51/31.61  | | 
% 194.51/31.61  | | GROUND_INST: instantiating (21) with all_14_1, all_16_1, e1, e0, simplifying
% 194.51/31.61  | |              with (39), (92) gives:
% 194.51/31.61  | |   (95)  all_16_1 = all_14_1
% 194.51/31.61  | | 
% 194.51/31.61  | | GROUND_INST: instantiating (21) with all_52_6, all_4_0, e2, e1, simplifying
% 194.51/31.61  | |              with (8), (32) gives:
% 194.51/31.61  | |   (96)  all_52_6 = all_4_0
% 194.51/31.61  | | 
% 194.51/31.61  | | COMBINE_EQS: (94), (95) imply:
% 194.51/31.61  | |   (97)  all_14_1 = e3
% 194.51/31.61  | | 
% 194.51/31.61  | | SIMP: (97) implies:
% 194.51/31.61  | |   (98)  all_14_1 = e3
% 194.51/31.61  | | 
% 194.51/31.61  | | COMBINE_EQS: (36), (96) imply:
% 194.51/31.61  | |   (99)  all_54_9 = all_4_0
% 194.51/31.61  | | 
% 194.51/31.61  | | REDUCE: (69), (96) imply:
% 194.51/31.61  | |   (100)   ~ (all_52_2 = all_4_0)
% 194.51/31.61  | | 
% 194.51/31.61  | | REDUCE: (17), (96) imply:
% 194.51/31.61  | |   (101)   ~ (all_52_7 = all_4_0)
% 194.51/31.61  | | 
% 194.51/31.61  | | SIMP: (101) implies:
% 194.51/31.61  | |   (102)   ~ (all_52_7 = all_4_0)
% 194.51/31.61  | | 
% 194.51/31.61  | | REDUCE: (64), (96) imply:
% 194.51/31.61  | |   (103)   ~ (all_4_0 = e3)
% 194.51/31.61  | | 
% 194.51/31.61  | | REDUCE: (82), (96) imply:
% 194.51/31.61  | |   (104)   ~ (all_4_0 = e1)
% 194.51/31.61  | | 
% 194.51/31.61  | | REDUCE: (43), (94) imply:
% 194.51/31.61  | |   (105)   ~ (e3 = e2)
% 194.51/31.61  | | 
% 194.51/31.61  | | REDUCE: (93), (98) imply:
% 194.51/31.61  | |   (106)  op(e3, e0) = all_14_0
% 194.51/31.61  | | 
% 194.51/31.61  | | BETA: splitting (33) gives:
% 194.51/31.61  | | 
% 194.51/31.61  | | Case 1:
% 194.51/31.61  | | | 
% 194.51/31.61  | | |   (107)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 194.51/31.61  | | |            e0)
% 194.51/31.61  | | | 
% 194.51/31.61  | | | BETA: splitting (107) gives:
% 194.51/31.61  | | | 
% 194.51/31.61  | | | Case 1:
% 194.51/31.61  | | | | 
% 194.51/31.61  | | | |   (108)  all_56_6 = e0 & op(e1, e3) = e0
% 194.51/31.61  | | | | 
% 194.51/31.61  | | | | ALPHA: (108) implies:
% 194.51/31.61  | | | |   (109)  all_56_6 = e0
% 194.51/31.61  | | | | 
% 194.51/31.61  | | | | BETA: splitting (9) gives:
% 194.51/31.61  | | | | 
% 194.51/31.61  | | | | Case 1:
% 194.51/31.61  | | | | | 
% 194.51/31.61  | | | | |   (110)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2,
% 194.51/31.61  | | | | |              e3) = e2)
% 194.51/31.61  | | | | | 
% 194.51/31.61  | | | | | REF_CLOSE: (21), (52), (62), (70), (105), (110) are inconsistent by
% 194.51/31.61  | | | | |            sub-proof #975.
% 194.51/31.61  | | | | | 
% 194.51/31.61  | | | | Case 2:
% 194.51/31.61  | | | | | 
% 194.51/31.61  | | | | |   (111)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0,
% 194.51/31.61  | | | | |              e3) = e2)
% 194.51/31.61  | | | | | 
% 194.51/31.61  | | | | | BETA: splitting (111) gives:
% 194.51/31.61  | | | | | 
% 194.51/31.61  | | | | | Case 1:
% 194.51/31.61  | | | | | | 
% 194.51/31.61  | | | | | |   (112)  all_56_6 = e2 & op(e1, e3) = e2
% 194.51/31.61  | | | | | | 
% 194.51/31.61  | | | | | | ALPHA: (112) implies:
% 194.51/31.61  | | | | | |   (113)  all_56_6 = e2
% 194.51/31.61  | | | | | | 
% 194.51/31.61  | | | | | | REF_CLOSE: (85), (109), (113) are inconsistent by sub-proof #1849.
% 194.51/31.61  | | | | | | 
% 194.51/31.61  | | | | | Case 2:
% 194.51/31.61  | | | | | | 
% 194.51/31.61  | | | | | |   (114)  all_56_12 = e2 & op(e0, e3) = e2
% 194.51/31.61  | | | | | | 
% 194.51/31.61  | | | | | | ALPHA: (114) implies:
% 194.51/31.61  | | | | | |   (115)  all_56_12 = e2
% 194.51/31.61  | | | | | | 
% 194.51/31.61  | | | | | | BETA: splitting (6) gives:
% 194.51/31.61  | | | | | | 
% 194.51/31.61  | | | | | | Case 1:
% 194.51/31.61  | | | | | | | 
% 194.51/31.61  | | | | | | |   (116)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 &
% 194.51/31.61  | | | | | | |            op(e2, e2) = e0)
% 194.51/31.61  | | | | | | | 
% 194.51/31.61  | | | | | | | REF_CLOSE: (4), (21), (25), (60), (88), (116) are inconsistent by
% 194.51/31.61  | | | | | | |            sub-proof #132.
% 194.51/31.61  | | | | | | | 
% 194.51/31.61  | | | | | | Case 2:
% 194.51/31.61  | | | | | | | 
% 194.51/31.61  | | | | | | |   (117)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 &
% 194.51/31.61  | | | | | | |            op(e0, e2) = e0)
% 194.51/31.61  | | | | | | | 
% 194.51/31.61  | | | | | | | BETA: splitting (117) gives:
% 194.51/31.61  | | | | | | | 
% 194.51/31.61  | | | | | | | Case 1:
% 194.51/31.61  | | | | | | | | 
% 194.51/31.61  | | | | | | | |   (118)  all_56_7 = e0 & op(e1, e2) = e0
% 194.51/31.61  | | | | | | | | 
% 194.51/31.61  | | | | | | | | REF_CLOSE: (3), (4), (9), (18), (19), (21), (25), (52), (60),
% 194.51/31.61  | | | | | | | |            (62), (84), (87), (88), (89), (99), (100), (102),
% 194.51/31.61  | | | | | | | |            (103), (104), (118) are inconsistent by sub-proof
% 194.51/31.61  | | | | | | | |            #129.
% 194.51/31.61  | | | | | | | | 
% 194.51/31.61  | | | | | | | Case 2:
% 194.51/31.61  | | | | | | | | 
% 194.51/31.61  | | | | | | | |   (119)  all_56_13 = e0 & op(e0, e2) = e0
% 194.51/31.61  | | | | | | | | 
% 194.51/31.61  | | | | | | | | ALPHA: (119) implies:
% 194.51/31.61  | | | | | | | |   (120)  all_56_13 = e0
% 194.51/31.61  | | | | | | | |   (121)  op(e0, e2) = e0
% 194.51/31.61  | | | | | | | | 
% 194.51/31.61  | | | | | | | | BETA: splitting (87) gives:
% 194.51/31.61  | | | | | | | | 
% 194.51/31.61  | | | | | | | | Case 1:
% 194.51/31.61  | | | | | | | | | 
% 194.51/31.61  | | | | | | | | |   (122)  all_54_9 = e3
% 194.51/31.61  | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | COMBINE_EQS: (99), (122) imply:
% 194.51/31.61  | | | | | | | | |   (123)  all_4_0 = e3
% 194.51/31.61  | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | REDUCE: (103), (123) imply:
% 194.51/31.61  | | | | | | | | |   (124)  $false
% 194.51/31.61  | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | CLOSE: (124) is inconsistent.
% 194.51/31.61  | | | | | | | | | 
% 194.51/31.61  | | | | | | | | Case 2:
% 194.51/31.61  | | | | | | | | | 
% 194.51/31.61  | | | | | | | | |   (125)   ~ (all_54_9 = e3)
% 194.51/31.61  | | | | | | | | |   (126)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.51/31.61  | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | BETA: splitting (18) gives:
% 194.51/31.61  | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | Case 1:
% 194.51/31.61  | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | |   (127)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 194.51/31.61  | | | | | | | | | |            & op(e2, e2) = e2)
% 194.51/31.61  | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | REF_CLOSE: (4), (21), (25), (70), (105), (127) are
% 194.51/31.61  | | | | | | | | | |            inconsistent by sub-proof #131.
% 194.51/31.61  | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | Case 2:
% 194.51/31.61  | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | |   (128)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2
% 194.51/31.61  | | | | | | | | | |            & op(e0, e2) = e2)
% 194.51/31.61  | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | BETA: splitting (128) gives:
% 194.51/31.61  | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | Case 1:
% 194.51/31.61  | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | |   (129)  all_56_7 = e2 & op(e1, e2) = e2
% 194.51/31.61  | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | ALPHA: (129) implies:
% 194.51/31.61  | | | | | | | | | | |   (130)  all_56_7 = e2
% 194.51/31.61  | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | BETA: splitting (126) gives:
% 194.51/31.61  | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | Case 1:
% 194.51/31.61  | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | |   (131)  all_54_9 = e2
% 194.51/31.61  | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | COMBINE_EQS: (99), (131) imply:
% 194.51/31.61  | | | | | | | | | | | |   (132)  all_4_0 = e2
% 194.51/31.61  | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | SIMP: (132) implies:
% 194.51/31.61  | | | | | | | | | | | |   (133)  all_4_0 = e2
% 194.51/31.61  | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | REDUCE: (100), (133) imply:
% 194.51/31.61  | | | | | | | | | | | |   (134)   ~ (all_52_2 = e2)
% 194.51/31.61  | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | REDUCE: (103), (133) imply:
% 194.51/31.61  | | | | | | | | | | | |   (135)   ~ (e3 = e2)
% 194.51/31.61  | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | REDUCE: (32), (133) imply:
% 194.51/31.61  | | | | | | | | | | | |   (136)  op(e1, e2) = e2
% 194.51/31.61  | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | BETA: splitting (58) gives:
% 194.51/31.61  | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | Case 1:
% 194.51/31.61  | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | |   (137)  all_54_8 = e3
% 194.51/31.61  | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | COMBINE_EQS: (42), (137) imply:
% 194.51/31.61  | | | | | | | | | | | | |   (138)  all_52_2 = e3
% 194.51/31.61  | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | REDUCE: (55), (138) imply:
% 194.51/31.61  | | | | | | | | | | | | |   (139)  $false
% 194.51/31.61  | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | CLOSE: (139) is inconsistent.
% 194.51/31.61  | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | Case 2:
% 194.51/31.61  | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | |   (140)   ~ (all_54_8 = e3)
% 194.51/31.61  | | | | | | | | | | | | |   (141)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.51/31.61  | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | BETA: splitting (141) gives:
% 194.51/31.61  | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | Case 1:
% 194.51/31.61  | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | |   (142)  all_54_8 = e2
% 194.51/31.61  | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | COMBINE_EQS: (42), (142) imply:
% 194.51/31.61  | | | | | | | | | | | | | |   (143)  all_52_2 = e2
% 194.51/31.61  | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | REDUCE: (134), (143) imply:
% 194.51/31.61  | | | | | | | | | | | | | |   (144)  $false
% 194.51/31.61  | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | CLOSE: (144) is inconsistent.
% 194.51/31.61  | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | Case 2:
% 194.51/31.61  | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | |   (145)   ~ (all_54_8 = e2)
% 194.51/31.61  | | | | | | | | | | | | | |   (146)  all_54_8 = e1 | all_54_8 = e0
% 194.51/31.61  | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 194.51/31.61  | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | Case 1:
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | |   (147)  all_54_8 = e1
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | COMBINE_EQS: (42), (147) imply:
% 194.51/31.61  | | | | | | | | | | | | | | |   (148)  all_52_2 = e1
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | REDUCE: (73), (148) imply:
% 194.51/31.61  | | | | | | | | | | | | | | |   (149)  $false
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | CLOSE: (149) is inconsistent.
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | Case 2:
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | |   (150)  all_54_8 = e0
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | COMBINE_EQS: (42), (150) imply:
% 194.51/31.61  | | | | | | | | | | | | | | |   (151)  all_52_2 = e0
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | REDUCE: (75), (151) imply:
% 194.51/31.61  | | | | | | | | | | | | | | |   (152)   ~ (all_52_3 = e0)
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | SIMP: (152) implies:
% 194.51/31.61  | | | | | | | | | | | | | | |   (153)   ~ (all_52_3 = e0)
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | REDUCE: (55), (151) imply:
% 194.51/31.61  | | | | | | | | | | | | | | |   (154)   ~ (e3 = e0)
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | REDUCE: (134), (151) imply:
% 194.51/31.61  | | | | | | | | | | | | | | |   (155)   ~ (e2 = e0)
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | REDUCE: (73), (151) imply:
% 194.51/31.61  | | | | | | | | | | | | | | |   (156)   ~ (e1 = e0)
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | REDUCE: (3), (151) imply:
% 194.51/31.61  | | | | | | | | | | | | | | |   (157)  op(e1, e3) = e0
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 194.51/31.61  | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | Case 1:
% 194.51/31.61  | | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | |   (158)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.51/31.61  | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.51/31.61  | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.51/31.61  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.51/31.61  | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.51/31.61  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.51/31.61  | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.51/31.61  | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.51/31.61  | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.51/31.61  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.51/31.61  | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 194.51/31.61  | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.51/31.61  | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.51/31.61  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.51/31.61  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.51/31.61  | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.51/31.61  | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 194.51/31.61  | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 194.51/31.61  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 194.51/31.61  | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.51/31.61  | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 194.51/31.61  | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 194.51/31.61  | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.51/31.61  | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.51/31.61  | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.51/31.61  | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.51/31.61  | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.51/31.61  | | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (21), (24), (25), (34), (41), (47), (49),
% 194.51/31.61  | | | | | | | | | | | | | | | |            (56), (57), (60), (70), (80), (84), (109), (115),
% 194.51/31.61  | | | | | | | | | | | | | | | |            (121), (130), (136), (157), (158) are inconsistent
% 194.51/31.61  | | | | | | | | | | | | | | | |            by sub-proof #126.
% 194.51/31.61  | | | | | | | | | | | | | | | | 
% 194.51/31.61  | | | | | | | | | | | | | | | Case 2:
% 194.51/31.61  | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | |   (159)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.51/31.62  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.62  | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.51/31.62  | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.51/31.62  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.51/31.62  | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.51/31.62  | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.51/31.62  | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.51/31.62  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.51/31.62  | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.51/31.62  | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.51/31.62  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 194.51/31.62  | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.51/31.62  | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 194.51/31.62  | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 194.51/31.62  | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.51/31.62  | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.51/31.62  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.51/31.62  | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 194.51/31.62  | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.51/31.62  | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.51/31.62  | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.51/31.62  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.51/31.62  | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.51/31.62  | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.51/31.62  | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.51/31.62  | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.51/31.62  | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.51/31.62  | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.51/31.62  | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.51/31.62  | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.51/31.62  | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.51/31.62  | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.51/31.62  | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.51/31.62  | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.51/31.62  | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.51/31.62  | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.51/31.62  | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.51/31.62  | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | |   (160)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.51/31.62  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.62  | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.51/31.62  | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.51/31.62  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.51/31.62  | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.51/31.62  | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.51/31.62  | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.51/31.62  | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.51/31.62  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.51/31.62  | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.51/31.62  | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.51/31.62  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.51/31.62  | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.51/31.62  | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | |   (161)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.51/31.62  | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (37), (52), (78), (80), (161) are
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1351.
% 194.51/31.62  | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | |   (162)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |   (163)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |   (164)  all_57_7 = e2
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |   (165)   ~ (all_57_12 = e1)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |   (166)   ~ (all_57_8 = e0)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |   (167)  op(e0, e0) = e1
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |   (168)  op(e0, e1) = all_57_8
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |   (169)  op(e2, e1) = e2
% 194.51/31.62  | | | | | | | | | | | | | | | | | | |   (170)  op(e2, e2) = all_57_12
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |   (171)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |   (172)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |   (173)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |   (175)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (70), (121), (167), (175) are inconsistent
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #283.
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |            e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |   (177)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |   (178)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (10), (11), (12), (14), (15), (16),
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |            (18), (21), (23), (25), (26), (27), (28), (29),
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |            (30), (31), (34), (38), (40), (46), (49), (50),
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (56), (59), (60), (61), (62), (63),
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (70), (71), (72), (74), (77), (79),
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |            (80), (84), (85), (86), (88), (91), (105), (106),
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |            (115), (120), (130), (157), (165), (166), (167),
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (177), (178) are inconsistent
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #115.
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |   (179)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (52), (60), (80), (157), (179) are
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |   (180)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (38), (52), (70), (88), (136), (153), (165),
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            (170), (180) are inconsistent by sub-proof #124.
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |   (181)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |   (182)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |   (183)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (40), (70), (77), (79), (167), (169), (183)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #899.
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |   (184)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (21), (41), (42), (44), (51), (73), (146),
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            (184) are inconsistent by sub-proof #793.
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |   (185)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |   (186)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |   (188)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 194.51/31.62  | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |   (189)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (10), (11), (12), (14), (15), (16),
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |            (18), (21), (23), (25), (26), (27), (28), (29),
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |            (30), (31), (34), (38), (40), (46), (49), (50),
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (56), (59), (60), (61), (62), (63),
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (70), (71), (72), (74), (77), (79),
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |            (80), (84), (85), (86), (88), (91), (105), (106),
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |            (115), (120), (130), (157), (165), (166), (167),
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (188), (189) are inconsistent
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #115.
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |   (191)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (70), (121), (167), (191) are inconsistent
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #283.
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (60), (164), (165), (167), (192) are
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #947.
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |   (193)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (53), (74), (193) are inconsistent by
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            sub-proof #1963.
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.63  | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | |   (194)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.51/31.63  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.51/31.63  | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.51/31.63  | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.51/31.63  | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.51/31.63  | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.51/31.63  | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 194.51/31.63  | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 194.51/31.63  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.51/31.63  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.51/31.63  | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.51/31.63  | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 194.51/31.63  | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 194.51/31.63  | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 194.51/31.63  | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.63  | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 194.51/31.63  | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.51/31.63  | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.51/31.63  | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.51/31.63  | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.51/31.63  | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.51/31.63  | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.51/31.63  | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.51/31.63  | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.51/31.63  | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.51/31.63  | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.51/31.63  | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.51/31.63  | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.51/31.63  | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.51/31.63  | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.51/31.63  | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.51/31.63  | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.51/31.63  | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.51/31.63  | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 194.51/31.63  | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | |   (195)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.51/31.63  | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.51/31.63  | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (52), (88), (195) are inconsistent by
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            sub-proof #1960.
% 194.51/31.63  | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | |   (196)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.51/31.63  | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.51/31.63  | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |   (197)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |   (198)  op(e1, e1) = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (41), (47), (57), (60), (70), (80), (81),
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            (83), (85), (88), (105), (109), (198) are
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1527.
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |   (199)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.51/31.63  | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |   (200)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |   (201)  op(e1, e0) = e1
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (41), (57), (201) are inconsistent by
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |   (202)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |   (203)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (19), (20), (21), (25), (35), (38), (48),
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            (52), (54), (55), (60), (65), (67), (70), (76),
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            (80), (85), (88), (105), (115), (153), (203) are
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #120.
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | Case 2:
% 194.51/31.63  | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | |   (204)  all_54_9 = e1 | all_54_9 = e0
% 194.51/31.63  | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | | REF_CLOSE: (89), (99), (104), (204) are inconsistent by
% 194.51/31.63  | | | | | | | | | | | |            sub-proof #130.
% 194.51/31.63  | | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | Case 2:
% 194.51/31.63  | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | |   (205)  all_56_13 = e2 & op(e0, e2) = e2
% 194.51/31.63  | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | ALPHA: (205) implies:
% 194.51/31.63  | | | | | | | | | | |   (206)  op(e0, e2) = e2
% 194.51/31.63  | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | | REF_CLOSE: (21), (84), (89), (99), (102), (104), (126), (206)
% 194.51/31.63  | | | | | | | | | | |            are inconsistent by sub-proof #119.
% 194.51/31.63  | | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | | 
% 194.51/31.63  | | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | | 
% 194.51/31.63  | | | | | | | | End of split
% 194.51/31.63  | | | | | | | | 
% 194.51/31.63  | | | | | | | End of split
% 194.51/31.63  | | | | | | | 
% 194.51/31.63  | | | | | | End of split
% 194.51/31.63  | | | | | | 
% 194.51/31.63  | | | | | End of split
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | End of split
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | Case 2:
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | |   (207)  all_56_7 = e0 & op(e1, e2) = e0
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | | REF_CLOSE: (3), (4), (9), (18), (19), (21), (25), (52), (60), (62),
% 194.51/31.63  | | | |            (84), (87), (88), (89), (99), (100), (102), (103), (104),
% 194.51/31.63  | | | |            (207) are inconsistent by sub-proof #129.
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | End of split
% 194.51/31.63  | | | 
% 194.51/31.63  | | Case 2:
% 194.51/31.63  | | | 
% 194.51/31.63  | | |   (208)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.51/31.63  | | |            = e0)
% 194.51/31.63  | | | 
% 194.51/31.63  | | | REF_CLOSE: (2), (21), (50), (60), (88), (208) are inconsistent by
% 194.51/31.63  | | |            sub-proof #118.
% 194.51/31.63  | | | 
% 194.51/31.63  | | End of split
% 194.51/31.63  | | 
% 194.51/31.63  | Case 2:
% 194.51/31.63  | | 
% 194.51/31.63  | |   (209)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 & $i(all_14_1)
% 194.51/31.63  | | 
% 194.51/31.63  | | ALPHA: (209) implies:
% 194.51/31.63  | |   (210)   ~ (all_14_1 = e3)
% 194.51/31.63  | |   (211)  op(e0, e1) = all_14_1
% 194.51/31.63  | | 
% 194.51/31.63  | | REF_CLOSE: (21), (39), (68), (210), (211) are inconsistent by sub-proof
% 194.51/31.63  | |            #117.
% 194.51/31.63  | | 
% 194.51/31.63  | End of split
% 194.51/31.63  | 
% 194.51/31.63  End of proof
% 194.51/31.63  
% 194.51/31.63  Sub-proof #115 shows that the following formulas are inconsistent:
% 194.51/31.63  ----------------------------------------------------------------
% 194.51/31.63    (1)  op(e1, e1) = e1
% 194.51/31.63    (2)  all_56_1 = e1
% 194.51/31.63    (3)   ~ (all_52_3 = e1)
% 194.51/31.63    (4)   ~ (all_57_8 = e0)
% 194.51/31.63    (5)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.51/31.63    (6)  all_54_3 = all_52_12
% 194.51/31.63    (7)   ~ (all_52_3 = e3)
% 194.51/31.63    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.51/31.63         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.51/31.63    (9)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.51/31.63         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.51/31.63    (10)   ~ (all_52_1 = all_52_9)
% 194.51/31.63    (11)  op(e0, e0) = e1
% 194.51/31.63    (12)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.51/31.63          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.51/31.63    (13)   ~ (e3 = e2)
% 194.51/31.63    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.63            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.63    (15)   ~ (all_52_9 = e1)
% 194.51/31.63    (16)  all_56_13 = e0
% 194.51/31.63    (17)  op(e2, e2) = e3
% 194.51/31.63    (18)   ~ (all_52_12 = all_52_13)
% 194.51/31.63    (19)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.51/31.63    (20)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.51/31.63          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.51/31.63    (21)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.51/31.63          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.51/31.63    (22)   ~ (all_52_9 = e3)
% 194.51/31.63    (23)  all_54_12 = all_52_3
% 194.51/31.63    (24)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.51/31.63          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 194.51/31.63            e1)
% 194.51/31.63    (25)  op(e0, e1) = all_57_8
% 194.51/31.63    (26)  op(e0, e3) = all_52_3
% 194.51/31.63    (27)  op(e2, e0) = all_52_13
% 194.51/31.63    (28)   ~ (all_14_0 = e2)
% 194.51/31.63    (29)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.51/31.63            all_57_2 & $i(all_57_2))
% 194.51/31.63    (30)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.51/31.63          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.51/31.63    (31)  op(e3, e0) = all_14_0
% 194.51/31.63    (32)   ~ (all_52_7 = e1)
% 194.51/31.63    (33)  all_56_11 = e3
% 194.51/31.63    (34)  op(e3, e3) = e3
% 194.51/31.63    (35)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.51/31.63            all_57_1 & $i(all_57_1))
% 194.51/31.63    (36)   ~ (all_52_12 = e3)
% 194.51/31.63    (37)  all_56_14 = e3
% 194.51/31.63    (38)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.51/31.63          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.51/31.63    (39)   ~ (e1 = e0)
% 194.51/31.63    (40)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 194.51/31.63          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 194.51/31.63    (41)  all_56_2 = e1
% 194.51/31.63    (42)  all_56_3 = e3
% 194.51/31.63    (43)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.51/31.63          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.51/31.63    (44)  op(e2, e2) = all_57_12
% 194.51/31.63    (45)  op(e0, e1) = e3
% 194.51/31.63    (46)   ~ (e2 = e1)
% 194.51/31.63    (47)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.51/31.63          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.51/31.63    (48)   ~ (all_52_12 = e1)
% 194.51/31.63    (49)  op(e3, e0) = all_52_12
% 194.51/31.63    (50)  all_56_7 = e2
% 194.51/31.63    (51)  op(e2, e1) = all_52_9
% 194.51/31.63    (52)  all_56_12 = e2
% 194.51/31.63    (53)   ~ (all_52_9 = all_52_13)
% 194.51/31.63    (54)   ~ (all_57_12 = e1)
% 194.51/31.63    (55)   ~ (e3 = e1)
% 194.51/31.63    (56)  op(e0, e2) = all_52_7
% 194.51/31.63    (57)   ~ (e2 = e0)
% 194.51/31.63    (58)  op(e2, e3) = all_52_1
% 194.51/31.63    (59)  op(e2, e1) = e2
% 194.51/31.63    (60)   ~ (e3 = e0)
% 194.51/31.63    (61)  op(e1, e3) = e0
% 194.51/31.63  
% 194.51/31.63  Begin of proof
% 194.51/31.63  | 
% 194.51/31.63  | BETA: splitting (29) gives:
% 194.51/31.63  | 
% 194.51/31.63  | Case 1:
% 194.51/31.63  | | 
% 194.51/31.63  | |   (62)  all_57_15 = e3 & op(e0, e0) = e3
% 194.51/31.63  | | 
% 194.51/31.63  | | ALPHA: (62) implies:
% 194.51/31.63  | |   (63)  op(e0, e0) = e3
% 194.51/31.63  | | 
% 194.51/31.63  | | REF_CLOSE: (14), (24), (32), (37), (46), (52), (55), (56), (63) are
% 194.51/31.63  | |            inconsistent by sub-proof #1039.
% 194.51/31.63  | | 
% 194.51/31.63  | Case 2:
% 194.51/31.63  | | 
% 194.51/31.63  | |   (64)   ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)
% 194.51/31.63  | | 
% 194.51/31.63  | | ALPHA: (64) implies:
% 194.51/31.63  | |   (65)   ~ (all_57_2 = e0)
% 194.51/31.63  | |   (66)  op(e0, e3) = all_57_2
% 194.51/31.63  | | 
% 194.51/31.63  | | BETA: splitting (19) gives:
% 194.51/31.63  | | 
% 194.51/31.63  | | Case 1:
% 194.51/31.63  | | | 
% 194.51/31.63  | | |   (67)  all_54_12 = e3
% 194.51/31.63  | | | 
% 194.51/31.63  | | | REF_CLOSE: (7), (23), (67) are inconsistent by sub-proof #1466.
% 194.51/31.63  | | | 
% 194.51/31.63  | | Case 2:
% 194.51/31.63  | | | 
% 194.51/31.63  | | |   (68)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.51/31.63  | | | 
% 194.51/31.63  | | | BETA: splitting (35) gives:
% 194.51/31.63  | | | 
% 194.51/31.63  | | | Case 1:
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | |   (69)  all_57_14 = e3 & op(e1, e1) = e3
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | | ALPHA: (69) implies:
% 194.51/31.63  | | | |   (70)  op(e1, e1) = e3
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | | REF_CLOSE: (8), (13), (14), (20), (21), (37), (39), (46), (55), (57),
% 194.51/31.63  | | | |            (59), (60), (70) are inconsistent by sub-proof #123.
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | Case 2:
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | |   (71)   ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | | ALPHA: (71) implies:
% 194.51/31.63  | | | |   (72)   ~ (all_57_1 = e1)
% 194.51/31.63  | | | |   (73)  op(e1, e3) = all_57_1
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | | BETA: splitting (68) gives:
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | | Case 1:
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | |   (74)  all_54_12 = e2
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | COMBINE_EQS: (23), (74) imply:
% 194.51/31.63  | | | | |   (75)  all_52_3 = e2
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | SIMP: (75) implies:
% 194.51/31.63  | | | | |   (76)  all_52_3 = e2
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | REDUCE: (26), (76) imply:
% 194.51/31.63  | | | | |   (77)  op(e0, e3) = e2
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | GROUND_INST: instantiating (14) with e3, all_57_8, e1, e0, simplifying
% 194.51/31.63  | | | | |              with (25), (45) gives:
% 194.51/31.63  | | | | |   (78)  all_57_8 = e3
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | GROUND_INST: instantiating (14) with e2, all_57_2, e3, e0, simplifying
% 194.51/31.63  | | | | |              with (66), (77) gives:
% 194.51/31.63  | | | | |   (79)  all_57_2 = e2
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | GROUND_INST: instantiating (14) with e0, all_57_1, e3, e1, simplifying
% 194.51/31.63  | | | | |              with (61), (73) gives:
% 194.51/31.63  | | | | |   (80)  all_57_1 = e0
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | GROUND_INST: instantiating (14) with all_52_9, e2, e1, e2, simplifying
% 194.51/31.63  | | | | |              with (51), (59) gives:
% 194.51/31.63  | | | | |   (81)  all_52_9 = e2
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | GROUND_INST: instantiating (14) with e3, all_57_12, e2, e2,
% 194.51/31.63  | | | | |              simplifying with (17), (44) gives:
% 194.51/31.63  | | | | |   (82)  all_57_12 = e3
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | GROUND_INST: instantiating (14) with all_52_12, all_14_0, e0, e3,
% 194.51/31.63  | | | | |              simplifying with (31), (49) gives:
% 194.51/31.63  | | | | |   (83)  all_52_12 = all_14_0
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | COMBINE_EQS: (6), (83) imply:
% 194.51/31.63  | | | | |   (84)  all_54_3 = all_14_0
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | REDUCE: (72), (80) imply:
% 194.51/31.63  | | | | |   (85)   ~ (e1 = e0)
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | REDUCE: (53), (81) imply:
% 194.51/31.63  | | | | |   (86)   ~ (all_52_13 = e2)
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | SIMP: (86) implies:
% 194.51/31.63  | | | | |   (87)   ~ (all_52_13 = e2)
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | REDUCE: (22), (81) imply:
% 194.51/31.63  | | | | |   (88)   ~ (e3 = e2)
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | REDUCE: (18), (83) imply:
% 194.51/31.63  | | | | |   (89)   ~ (all_52_13 = all_14_0)
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | SIMP: (89) implies:
% 194.51/31.63  | | | | |   (90)   ~ (all_52_13 = all_14_0)
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | REDUCE: (36), (83) imply:
% 194.51/31.63  | | | | |   (91)   ~ (all_14_0 = e3)
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | REDUCE: (48), (83) imply:
% 194.51/31.63  | | | | |   (92)   ~ (all_14_0 = e1)
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | REF_CLOSE: (1), (2), (5), (9), (10), (11), (12), (13), (14), (16),
% 194.51/31.63  | | | | |            (27), (28), (30), (33), (34), (37), (38), (39), (40), (41),
% 194.51/31.63  | | | | |            (42), (43), (44), (46), (47), (50), (51), (55), (57), (58),
% 194.51/31.63  | | | | |            (60), (81), (82), (84), (87), (90), (91), (92) are
% 194.51/31.63  | | | | |            inconsistent by sub-proof #121.
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | Case 2:
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | |   (93)  all_54_12 = e1 | all_54_12 = e0
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | | REF_CLOSE: (3), (14), (23), (26), (65), (66), (93) are inconsistent by
% 194.51/31.63  | | | | |            sub-proof #1069.
% 194.51/31.63  | | | | | 
% 194.51/31.63  | | | | End of split
% 194.51/31.63  | | | | 
% 194.51/31.63  | | | End of split
% 194.51/31.63  | | | 
% 194.51/31.63  | | End of split
% 194.51/31.63  | | 
% 194.51/31.63  | End of split
% 194.51/31.63  | 
% 194.51/31.63  End of proof
% 194.51/31.63  
% 194.51/31.63  Sub-proof #116 shows that the following formulas are inconsistent:
% 194.51/31.63  ----------------------------------------------------------------
% 194.51/31.63    (1)   ~ (all_52_4 = e3)
% 194.51/31.63    (2)  op(e1, e1) = e1
% 194.51/31.63    (3)  op(e1, e3) = all_52_2
% 194.51/31.63    (4)  all_56_1 = e1
% 194.51/31.64    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.51/31.64           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.51/31.64           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.51/31.64                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.51/31.64               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.51/31.64               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.51/31.64           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.51/31.64           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.64               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.51/31.64           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.51/31.64               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.51/31.64           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.51/31.64           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.51/31.64               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.64               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.51/31.64               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.64         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.51/31.64           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.51/31.64           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.51/31.64               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.51/31.64             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.64         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.51/31.64           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.51/31.64           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.51/31.64                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.51/31.64               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.51/31.64               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.51/31.64           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.51/31.64           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.51/31.64             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.64           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.51/31.64               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.51/31.64           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.51/31.64           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.51/31.64               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.51/31.64               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.51/31.64               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.64         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.51/31.64           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.51/31.64           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.51/31.64               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.51/31.64             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.64         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.51/31.64           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.51/31.64           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.51/31.64                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.51/31.64               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.51/31.64               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.51/31.64           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.51/31.64             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.51/31.64               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.64           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.51/31.64               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.51/31.64           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.51/31.64           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.51/31.64               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.64               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.64               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.51/31.64         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.51/31.64           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.51/31.64           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.51/31.64               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.51/31.64             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.51/31.64         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.51/31.64             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.64           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.51/31.64               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.51/31.64             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.64         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.51/31.64             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.64           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.51/31.64               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.51/31.64             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.64         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.51/31.64             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.51/31.64           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.51/31.64               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.51/31.64             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.64         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.51/31.64             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.51/31.64           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.51/31.64               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.51/31.64             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.51/31.64    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.51/31.64         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.51/31.64    (7)   ~ (all_52_3 = e1)
% 194.51/31.64    (8)  op(e1, e2) = all_52_6
% 194.51/31.64    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.51/31.64         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.51/31.64    (10)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.51/31.64    (11)  all_54_3 = all_52_12
% 194.51/31.64    (12)   ~ (all_52_3 = e3)
% 194.51/31.64    (13)   ~ (all_52_11 = e1)
% 194.51/31.64    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.51/31.64          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.51/31.64    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.51/31.64          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.51/31.64    (16)   ~ (all_52_1 = all_52_9)
% 194.51/31.64    (17)   ~ (all_52_6 = all_52_7)
% 194.51/31.64    (18)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.51/31.64          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.51/31.64    (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.51/31.64          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.51/31.64    (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.51/31.64          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.51/31.64    (21)   ~ (e3 = e2)
% 194.51/31.64    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.64            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.64    (23)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 194.51/31.64            all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e0,
% 194.51/31.64              e1) = all_14_1 & $i(all_14_1))
% 194.51/31.64    (24)   ~ (all_52_9 = e1)
% 194.51/31.64    (25)  op(e3, e2) = all_52_4
% 194.51/31.64    (26)  op(e2, e2) = e3
% 194.51/31.64    (27)  op(all_16_1, e0) = all_16_0
% 194.51/31.64    (28)   ~ (all_52_12 = all_52_13)
% 194.51/31.64    (29)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.51/31.64    (30)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.51/31.64          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.51/31.64    (31)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.51/31.64          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.51/31.64    (32)   ~ (all_52_9 = e3)
% 194.51/31.64    (33)  all_54_12 = all_52_3
% 194.51/31.64    (34)  op(e1, e2) = all_4_0
% 194.51/31.64    (35)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.51/31.64          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.51/31.64    (36)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.51/31.64          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 194.51/31.64            e1)
% 194.51/31.64    (37)  all_54_10 = all_10_2
% 194.51/31.64    (38)  all_54_9 = all_52_6
% 194.51/31.64    (39)   ~ (all_52_8 = e3)
% 194.51/31.64    (40)  op(e0, e3) = all_52_3
% 194.51/31.64    (41)  op(e0, e1) = all_16_1
% 194.51/31.64    (42)  op(e2, e0) = all_52_13
% 194.51/31.64    (43)  op(e1, e0) = all_52_14
% 194.51/31.64    (44)  all_54_8 = all_52_2
% 194.51/31.64    (45)   ~ (all_52_2 = all_52_14)
% 194.51/31.64    (46)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.51/31.64              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.51/31.64            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.51/31.64            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.51/31.64            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.51/31.64            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.51/31.64            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.51/31.64            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.51/31.64            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.51/31.64            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.51/31.64            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.51/31.64            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.51/31.64            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.51/31.64            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.51/31.64            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.51/31.64            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.51/31.64            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.51/31.64            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.51/31.64            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.51/31.64            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.51/31.64            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.51/31.64            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.51/31.64            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.51/31.64            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.51/31.64            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.51/31.64            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.51/31.64            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.51/31.64            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.51/31.64            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.64            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.51/31.64            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.51/31.64            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.51/31.64            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.51/31.64            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.51/31.64            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.64            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.51/31.64            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.64            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.51/31.64            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.51/31.64            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.64            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.51/31.64            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.51/31.64            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.51/31.64            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.51/31.64            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.51/31.64            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.51/31.64            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.51/31.64            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.51/31.64              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.51/31.64            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.51/31.64            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.51/31.64              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.51/31.64            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.51/31.64            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.51/31.64                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.51/31.64                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.64                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.51/31.64                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.51/31.64                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.51/31.64                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.51/31.64                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.51/31.64              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.51/31.64                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.51/31.64                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.51/31.64                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.51/31.64                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.51/31.64                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.51/31.64                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.51/31.64                $i(all_57_7))))
% 194.51/31.64    (47)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.51/31.64          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.51/31.64    (48)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.51/31.64          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.51/31.64    (49)  all_54_10 = e1 | all_54_10 = e0
% 194.51/31.64    (50)   ~ (all_52_7 = e1)
% 194.51/31.64    (51)  all_56_11 = e3
% 194.51/31.64    (52)  op(e0, e1) = all_52_11
% 194.51/31.64    (53)  op(e3, e3) = e3
% 194.51/31.64    (54)   ~ (all_16_0 = e3)
% 194.51/31.64    (55)   ~ (all_52_12 = e3)
% 194.51/31.64    (56)  op(e1, e1) = all_10_2
% 194.51/31.64    (57)   ~ (all_52_2 = e3)
% 194.51/31.64    (58)  all_56_14 = e3
% 194.51/31.64    (59)   ~ (all_52_14 = e1)
% 194.51/31.64    (60)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.51/31.64    (61)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.51/31.64          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.51/31.64    (62)   ~ (e1 = e0)
% 194.51/31.64    (63)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 194.51/31.64          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 194.51/31.64    (64)  all_56_2 = e1
% 194.51/31.64    (65)  all_56_3 = e3
% 194.51/31.64    (66)   ~ (all_52_6 = e3)
% 194.51/31.64    (67)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.51/31.64          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.51/31.64    (68)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.51/31.64          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.51/31.64    (69)   ~ (all_10_2 = e0)
% 194.51/31.64    (70)  op(e0, e1) = e3
% 194.51/31.64    (71)   ~ (all_52_2 = all_52_6)
% 194.51/31.64    (72)   ~ (e2 = e1)
% 194.51/31.64    (73)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.51/31.64          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.51/31.64    (74)   ~ (all_52_12 = e1)
% 194.51/31.64    (75)   ~ (all_52_2 = e1)
% 194.51/31.64    (76)  op(e3, e0) = all_52_12
% 194.51/31.64    (77)   ~ (all_52_2 = all_52_3)
% 194.51/31.64    (78)   ~ (all_10_2 = e2)
% 194.51/31.64    (79)  op(e2, e1) = all_52_9
% 194.51/31.64    (80)  op(e3, e1) = all_52_8
% 194.51/31.64    (81)   ~ (all_52_9 = all_52_13)
% 194.51/31.64    (82)   ~ (e3 = e1)
% 194.51/31.64    (83)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.51/31.64          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.51/31.64    (84)   ~ (all_52_6 = e1)
% 194.51/31.64    (85)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.51/31.64          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.51/31.64    (86)  op(e0, e2) = all_52_7
% 194.51/31.64    (87)   ~ (e2 = e0)
% 194.51/31.64    (88)  op(e2, e3) = all_52_1
% 194.51/31.64    (89)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.51/31.64    (90)   ~ (e3 = e0)
% 194.51/31.64    (91)   ~ (all_4_0 = e0)
% 194.51/31.64  
% 194.51/31.64  Begin of proof
% 194.51/31.64  | 
% 194.51/31.64  | BETA: splitting (23) gives:
% 194.51/31.64  | 
% 194.51/31.64  | Case 1:
% 194.51/31.64  | | 
% 194.51/31.64  | |   (92)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 194.51/31.64  | |         all_14_1 & $i(all_14_0) & $i(all_14_1)
% 194.51/31.64  | | 
% 194.51/31.64  | | ALPHA: (92) implies:
% 194.51/31.64  | |   (93)   ~ (all_14_0 = e2)
% 194.51/31.64  | |   (94)  op(e0, e1) = all_14_1
% 194.51/31.64  | |   (95)  op(all_14_1, e0) = all_14_0
% 194.51/31.64  | | 
% 194.51/31.64  | | GROUND_INST: instantiating (22) with e3, all_16_1, e1, e0, simplifying with
% 194.51/31.64  | |              (41), (70) gives:
% 194.51/31.64  | |   (96)  all_16_1 = e3
% 194.51/31.64  | | 
% 194.51/31.64  | | GROUND_INST: instantiating (22) with all_14_1, all_16_1, e1, e0, simplifying
% 194.51/31.64  | |              with (41), (94) gives:
% 194.51/31.64  | |   (97)  all_16_1 = all_14_1
% 194.51/31.64  | | 
% 194.51/31.64  | | GROUND_INST: instantiating (22) with all_52_6, all_4_0, e2, e1, simplifying
% 194.51/31.64  | |              with (8), (34) gives:
% 194.51/31.64  | |   (98)  all_52_6 = all_4_0
% 194.51/31.64  | | 
% 194.51/31.64  | | COMBINE_EQS: (96), (97) imply:
% 194.51/31.64  | |   (99)  all_14_1 = e3
% 194.51/31.64  | | 
% 194.51/31.64  | | SIMP: (99) implies:
% 194.51/31.64  | |   (100)  all_14_1 = e3
% 194.51/31.64  | | 
% 194.51/31.64  | | COMBINE_EQS: (38), (98) imply:
% 194.51/31.64  | |   (101)  all_54_9 = all_4_0
% 194.51/31.64  | | 
% 194.51/31.64  | | REDUCE: (71), (98) imply:
% 194.51/31.64  | |   (102)   ~ (all_52_2 = all_4_0)
% 194.51/31.64  | | 
% 194.51/31.64  | | REDUCE: (17), (98) imply:
% 194.51/31.64  | |   (103)   ~ (all_52_7 = all_4_0)
% 194.51/31.64  | | 
% 194.51/31.64  | | SIMP: (103) implies:
% 194.51/31.64  | |   (104)   ~ (all_52_7 = all_4_0)
% 194.51/31.64  | | 
% 194.51/31.64  | | REDUCE: (66), (98) imply:
% 194.51/31.64  | |   (105)   ~ (all_4_0 = e3)
% 194.51/31.64  | | 
% 194.51/31.64  | | REDUCE: (84), (98) imply:
% 194.51/31.64  | |   (106)   ~ (all_4_0 = e1)
% 194.51/31.64  | | 
% 194.51/31.64  | | REDUCE: (27), (96) imply:
% 194.51/31.64  | |   (107)  op(e3, e0) = all_16_0
% 194.51/31.64  | | 
% 194.51/31.64  | | REDUCE: (95), (100) imply:
% 194.51/31.64  | |   (108)  op(e3, e0) = all_14_0
% 194.51/31.64  | | 
% 194.51/31.64  | | BETA: splitting (35) gives:
% 194.51/31.64  | | 
% 194.51/31.64  | | Case 1:
% 194.51/31.64  | | | 
% 194.51/31.64  | | |   (109)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 194.51/31.64  | | |            e0)
% 194.51/31.64  | | | 
% 194.51/31.64  | | | BETA: splitting (109) gives:
% 194.51/31.64  | | | 
% 194.51/31.64  | | | Case 1:
% 194.51/31.64  | | | | 
% 194.51/31.64  | | | |   (110)  all_56_6 = e0 & op(e1, e3) = e0
% 194.51/31.64  | | | | 
% 194.51/31.64  | | | | ALPHA: (110) implies:
% 194.51/31.64  | | | |   (111)  all_56_6 = e0
% 194.51/31.64  | | | | 
% 194.51/31.64  | | | | BETA: splitting (9) gives:
% 194.51/31.64  | | | | 
% 194.51/31.64  | | | | Case 1:
% 194.51/31.64  | | | | | 
% 194.51/31.64  | | | | |   (112)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2,
% 194.51/31.64  | | | | |              e3) = e2)
% 194.51/31.64  | | | | | 
% 194.51/31.64  | | | | | REF_CLOSE: (21), (22), (53), (64), (72), (112) are inconsistent by
% 194.51/31.64  | | | | |            sub-proof #975.
% 194.51/31.64  | | | | | 
% 194.51/31.64  | | | | Case 2:
% 194.51/31.64  | | | | | 
% 194.51/31.64  | | | | |   (113)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0,
% 194.51/31.64  | | | | |              e3) = e2)
% 194.51/31.64  | | | | | 
% 194.51/31.64  | | | | | BETA: splitting (113) gives:
% 194.51/31.64  | | | | | 
% 194.51/31.64  | | | | | Case 1:
% 194.51/31.64  | | | | | | 
% 194.51/31.64  | | | | | |   (114)  all_56_6 = e2 & op(e1, e3) = e2
% 194.51/31.64  | | | | | | 
% 194.51/31.64  | | | | | | ALPHA: (114) implies:
% 194.51/31.64  | | | | | |   (115)  all_56_6 = e2
% 194.51/31.64  | | | | | | 
% 194.51/31.64  | | | | | | REF_CLOSE: (87), (111), (115) are inconsistent by sub-proof #1849.
% 194.51/31.64  | | | | | | 
% 194.51/31.64  | | | | | Case 2:
% 194.51/31.64  | | | | | | 
% 194.51/31.64  | | | | | |   (116)  all_56_12 = e2 & op(e0, e3) = e2
% 194.51/31.64  | | | | | | 
% 194.51/31.64  | | | | | | ALPHA: (116) implies:
% 194.51/31.64  | | | | | |   (117)  all_56_12 = e2
% 194.51/31.64  | | | | | | 
% 194.51/31.64  | | | | | | BETA: splitting (6) gives:
% 194.51/31.64  | | | | | | 
% 194.51/31.64  | | | | | | Case 1:
% 194.51/31.64  | | | | | | | 
% 194.51/31.64  | | | | | | |   (118)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 &
% 194.51/31.64  | | | | | | |            op(e2, e2) = e0)
% 194.51/31.64  | | | | | | | 
% 194.51/31.64  | | | | | | | REF_CLOSE: (4), (22), (26), (62), (90), (118) are inconsistent by
% 194.51/31.64  | | | | | | |            sub-proof #132.
% 194.51/31.64  | | | | | | | 
% 194.51/31.64  | | | | | | Case 2:
% 194.51/31.64  | | | | | | | 
% 194.51/31.64  | | | | | | |   (119)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 &
% 194.51/31.64  | | | | | | |            op(e0, e2) = e0)
% 194.51/31.64  | | | | | | | 
% 194.51/31.64  | | | | | | | BETA: splitting (119) gives:
% 194.51/31.64  | | | | | | | 
% 194.51/31.64  | | | | | | | Case 1:
% 194.51/31.64  | | | | | | | | 
% 194.51/31.64  | | | | | | | |   (120)  all_56_7 = e0 & op(e1, e2) = e0
% 194.51/31.64  | | | | | | | | 
% 194.51/31.64  | | | | | | | | REF_CLOSE: (3), (4), (9), (18), (19), (22), (26), (53), (62),
% 194.51/31.64  | | | | | | | |            (64), (86), (89), (90), (91), (101), (102), (104),
% 194.51/31.64  | | | | | | | |            (105), (106), (120) are inconsistent by sub-proof
% 194.51/31.64  | | | | | | | |            #129.
% 194.51/31.64  | | | | | | | | 
% 194.51/31.64  | | | | | | | Case 2:
% 194.51/31.64  | | | | | | | | 
% 194.51/31.64  | | | | | | | |   (121)  all_56_13 = e0 & op(e0, e2) = e0
% 194.51/31.64  | | | | | | | | 
% 194.51/31.64  | | | | | | | | ALPHA: (121) implies:
% 194.51/31.64  | | | | | | | |   (122)  all_56_13 = e0
% 194.51/31.64  | | | | | | | |   (123)  op(e0, e2) = e0
% 194.51/31.64  | | | | | | | | 
% 194.51/31.64  | | | | | | | | BETA: splitting (89) gives:
% 194.51/31.64  | | | | | | | | 
% 194.51/31.64  | | | | | | | | Case 1:
% 194.51/31.64  | | | | | | | | | 
% 194.51/31.64  | | | | | | | | |   (124)  all_54_9 = e3
% 194.51/31.64  | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | COMBINE_EQS: (101), (124) imply:
% 194.51/31.64  | | | | | | | | |   (125)  all_4_0 = e3
% 194.51/31.64  | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | REDUCE: (105), (125) imply:
% 194.51/31.64  | | | | | | | | |   (126)  $false
% 194.51/31.64  | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | CLOSE: (126) is inconsistent.
% 194.51/31.64  | | | | | | | | | 
% 194.51/31.64  | | | | | | | | Case 2:
% 194.51/31.64  | | | | | | | | | 
% 194.51/31.64  | | | | | | | | |   (127)   ~ (all_54_9 = e3)
% 194.51/31.64  | | | | | | | | |   (128)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.51/31.64  | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | BETA: splitting (18) gives:
% 194.51/31.64  | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | Case 1:
% 194.51/31.64  | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | |   (129)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 194.51/31.64  | | | | | | | | | |            & op(e2, e2) = e2)
% 194.51/31.64  | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | REF_CLOSE: (4), (21), (22), (26), (72), (129) are
% 194.51/31.64  | | | | | | | | | |            inconsistent by sub-proof #131.
% 194.51/31.64  | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | Case 2:
% 194.51/31.64  | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | |   (130)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2
% 194.51/31.64  | | | | | | | | | |            & op(e0, e2) = e2)
% 194.51/31.64  | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | BETA: splitting (130) gives:
% 194.51/31.64  | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | Case 1:
% 194.51/31.64  | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | |   (131)  all_56_7 = e2 & op(e1, e2) = e2
% 194.51/31.64  | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | ALPHA: (131) implies:
% 194.51/31.64  | | | | | | | | | | |   (132)  all_56_7 = e2
% 194.51/31.64  | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | BETA: splitting (128) gives:
% 194.51/31.64  | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | Case 1:
% 194.51/31.64  | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | |   (133)  all_54_9 = e2
% 194.51/31.64  | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | COMBINE_EQS: (101), (133) imply:
% 194.51/31.64  | | | | | | | | | | | |   (134)  all_4_0 = e2
% 194.51/31.64  | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | SIMP: (134) implies:
% 194.51/31.64  | | | | | | | | | | | |   (135)  all_4_0 = e2
% 194.51/31.64  | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | REDUCE: (102), (135) imply:
% 194.51/31.64  | | | | | | | | | | | |   (136)   ~ (all_52_2 = e2)
% 194.51/31.64  | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | REDUCE: (105), (135) imply:
% 194.51/31.64  | | | | | | | | | | | |   (137)   ~ (e3 = e2)
% 194.51/31.64  | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | REDUCE: (34), (135) imply:
% 194.51/31.64  | | | | | | | | | | | |   (138)  op(e1, e2) = e2
% 194.51/31.64  | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | BETA: splitting (60) gives:
% 194.51/31.64  | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | Case 1:
% 194.51/31.64  | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | |   (139)  all_54_8 = e3
% 194.51/31.64  | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | COMBINE_EQS: (44), (139) imply:
% 194.51/31.64  | | | | | | | | | | | | |   (140)  all_52_2 = e3
% 194.51/31.64  | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | REDUCE: (57), (140) imply:
% 194.51/31.64  | | | | | | | | | | | | |   (141)  $false
% 194.51/31.64  | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | CLOSE: (141) is inconsistent.
% 194.51/31.64  | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | Case 2:
% 194.51/31.64  | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | |   (142)   ~ (all_54_8 = e3)
% 194.51/31.64  | | | | | | | | | | | | |   (143)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.51/31.64  | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | BETA: splitting (143) gives:
% 194.51/31.64  | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | Case 1:
% 194.51/31.64  | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | |   (144)  all_54_8 = e2
% 194.51/31.64  | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | COMBINE_EQS: (44), (144) imply:
% 194.51/31.64  | | | | | | | | | | | | | |   (145)  all_52_2 = e2
% 194.51/31.64  | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | REDUCE: (136), (145) imply:
% 194.51/31.64  | | | | | | | | | | | | | |   (146)  $false
% 194.51/31.64  | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | CLOSE: (146) is inconsistent.
% 194.51/31.64  | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | Case 2:
% 194.51/31.64  | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | |   (147)   ~ (all_54_8 = e2)
% 194.51/31.64  | | | | | | | | | | | | | |   (148)  all_54_8 = e1 | all_54_8 = e0
% 194.51/31.64  | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 194.51/31.64  | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | Case 1:
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | |   (149)  all_54_8 = e1
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | COMBINE_EQS: (44), (149) imply:
% 194.51/31.64  | | | | | | | | | | | | | | |   (150)  all_52_2 = e1
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | REDUCE: (75), (150) imply:
% 194.51/31.64  | | | | | | | | | | | | | | |   (151)  $false
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | CLOSE: (151) is inconsistent.
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | Case 2:
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | |   (152)  all_54_8 = e0
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | COMBINE_EQS: (44), (152) imply:
% 194.51/31.64  | | | | | | | | | | | | | | |   (153)  all_52_2 = e0
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | REDUCE: (77), (153) imply:
% 194.51/31.64  | | | | | | | | | | | | | | |   (154)   ~ (all_52_3 = e0)
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | SIMP: (154) implies:
% 194.51/31.64  | | | | | | | | | | | | | | |   (155)   ~ (all_52_3 = e0)
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | REDUCE: (57), (153) imply:
% 194.51/31.64  | | | | | | | | | | | | | | |   (156)   ~ (e3 = e0)
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | REDUCE: (136), (153) imply:
% 194.51/31.64  | | | | | | | | | | | | | | |   (157)   ~ (e2 = e0)
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | REDUCE: (75), (153) imply:
% 194.51/31.64  | | | | | | | | | | | | | | |   (158)   ~ (e1 = e0)
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | REDUCE: (3), (153) imply:
% 194.51/31.64  | | | | | | | | | | | | | | |   (159)  op(e1, e3) = e0
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 194.51/31.64  | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | Case 1:
% 194.51/31.64  | | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | |   (160)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.51/31.64  | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.51/31.64  | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.51/31.64  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.51/31.64  | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.51/31.64  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.51/31.64  | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.51/31.64  | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.51/31.64  | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.51/31.64  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.51/31.64  | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 194.51/31.64  | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.51/31.64  | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.51/31.64  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.51/31.64  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.51/31.64  | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.51/31.64  | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 194.51/31.64  | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 194.51/31.64  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 194.51/31.64  | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.51/31.64  | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 194.51/31.64  | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 194.51/31.64  | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.51/31.64  | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.51/31.64  | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.51/31.64  | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.51/31.64  | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.51/31.64  | | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (22), (25), (26), (36), (43), (48), (50),
% 194.51/31.64  | | | | | | | | | | | | | | | |            (58), (59), (62), (72), (82), (86), (111), (117),
% 194.51/31.64  | | | | | | | | | | | | | | | |            (123), (132), (138), (159), (160) are inconsistent
% 194.51/31.64  | | | | | | | | | | | | | | | |            by sub-proof #126.
% 194.51/31.64  | | | | | | | | | | | | | | | | 
% 194.51/31.64  | | | | | | | | | | | | | | | Case 2:
% 194.51/31.64  | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | |   (161)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.51/31.65  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.65  | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.51/31.65  | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.51/31.65  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.51/31.65  | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.51/31.65  | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.51/31.65  | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.51/31.65  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.51/31.65  | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.51/31.65  | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.51/31.65  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 194.51/31.65  | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.51/31.65  | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 194.51/31.65  | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 194.51/31.65  | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.51/31.65  | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.51/31.65  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.51/31.65  | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 194.51/31.65  | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.51/31.65  | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.51/31.65  | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.51/31.65  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.51/31.65  | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.51/31.65  | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.51/31.65  | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.51/31.65  | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.51/31.65  | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.51/31.65  | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.51/31.65  | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.51/31.65  | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.51/31.65  | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.51/31.65  | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.51/31.65  | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.51/31.65  | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.51/31.65  | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.51/31.65  | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.51/31.65  | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.51/31.65  | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | |   (162)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.51/31.65  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.65  | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.51/31.65  | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.51/31.65  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.51/31.65  | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.51/31.65  | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.51/31.65  | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.51/31.65  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.51/31.65  | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.51/31.65  | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.51/31.65  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.51/31.65  | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.51/31.65  | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | |   (163)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (39), (53), (80), (82), (163) are
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1351.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | |   (164)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |   (165)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | ALPHA: (165) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |   (166)  all_57_7 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |   (167)   ~ (all_57_12 = e1)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |   (168)   ~ (all_57_8 = e0)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |   (169)  op(e0, e0) = e1
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |   (170)  op(e0, e1) = all_57_8
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |   (171)  op(e2, e1) = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | |   (172)  op(e2, e2) = all_57_12
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |   (173)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |   (174)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |   (175)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |   (177)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (72), (123), (169), (177) are inconsistent
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #283.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |            e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (178) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |   (179)  op(e2, e3) = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (22), (79), (88), (171), (179) are
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1135.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |   (180)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (53), (62), (82), (159), (180) are
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |   (181)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (40), (53), (72), (90), (138), (155), (167),
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            (172), (181) are inconsistent by sub-proof #124.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |   (182)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |   (183)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |   (184)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (42), (72), (79), (81), (169), (171), (184)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #899.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |   (185)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (22), (43), (44), (45), (52), (75), (148),
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            (185) are inconsistent by sub-proof #793.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |   (186)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |   (187)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |   (189)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |   (190)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_57_15 = e3 & op(e0, e0) = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | |   (192)  op(e0, e0) = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (36), (50), (58), (72), (82), (86), (117),
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | |            (192) are inconsistent by sub-proof #1039.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | |   (193)   ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | |   (194)   ~ (all_57_2 = e0)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | |   (195)  op(e0, e3) = all_57_2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_54_12 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (33), (196) are inconsistent by sub-proof
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | |            #1466.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_57_14 = e3 & op(e1, e1) = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  op(e1, e1) = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (21), (22), (30), (31), (58), (62), (72),
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (87), (90), (171), (199) are inconsistent by
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #123.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)   ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)   ~ (all_57_1 = e1)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  op(e1, e3) = all_57_1
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_54_12 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (203) imply:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_52_3 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (204) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_52_3 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (205) imply:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  op(e0, e3) = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with e3, all_57_8, e1, e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (70), (170) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_57_8 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with e2, all_57_2, e3, e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (195), (206) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_57_2 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with e0, all_57_1, e3, e1,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (159), (202) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_57_1 = e0
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_9, e2, e1, e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (79), (171) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_52_9 = e2
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with e3, all_57_12, e2, e2,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (26), (172) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_57_12 = e3
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_12, all_14_0, e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (76), (108) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_52_12 = all_14_0
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_12, all_16_0, e0,
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (76), (107) gives:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_52_12 = all_16_0
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (213) imply:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_16_0 = all_14_0
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (214) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_16_0 = all_14_0
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (212) imply:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_54_3 = all_14_0
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (210) imply:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)   ~ (all_52_13 = e2)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (217) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)   ~ (all_52_13 = e2)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (212) imply:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)   ~ (all_52_13 = all_14_0)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)   ~ (all_52_13 = all_14_0)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (212) imply:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)   ~ (all_14_0 = e1)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (215) imply:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)   ~ (all_14_0 = e3)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (10), (15), (16), (18), (21), (22),
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (47), (51), (53), (58), (61), (62), (63),
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (65), (68), (72), (73), (79), (82), (87),
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (90), (93), (122), (132), (169), (172),
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (211), (216), (218), (220), (221), (222)
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #121.
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_54_12 = e1 | all_54_12 = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (22), (33), (40), (194), (195), (223) are
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1069.
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (224) implies:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |   (225)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (72), (123), (169), (225) are inconsistent
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #283.
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |   (226)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (62), (166), (167), (169), (226) are
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #947.
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |   (227)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (55), (76), (227) are inconsistent by
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            sub-proof #1963.
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.66  | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | |   (228)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.51/31.66  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.51/31.66  | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.51/31.66  | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.51/31.66  | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.51/31.66  | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.51/31.66  | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 194.51/31.66  | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 194.51/31.66  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.51/31.66  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.51/31.66  | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.51/31.66  | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 194.51/31.66  | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 194.51/31.66  | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 194.51/31.66  | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.66  | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 194.51/31.66  | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.51/31.66  | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.51/31.66  | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.51/31.66  | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.51/31.66  | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.51/31.66  | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.51/31.66  | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.51/31.66  | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.51/31.66  | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.51/31.66  | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.51/31.66  | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.51/31.66  | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.51/31.66  | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.51/31.66  | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.51/31.66  | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.51/31.66  | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.51/31.66  | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.51/31.66  | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 194.51/31.66  | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | |   (229)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.51/31.66  | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.51/31.66  | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 194.51/31.66  | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (53), (90), (229) are inconsistent by
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            sub-proof #1960.
% 194.51/31.66  | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | |   (230)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.51/31.66  | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.51/31.66  | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.51/31.66  | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |   (231)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |   (232)  op(e1, e1) = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (43), (48), (59), (62), (72), (82),
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            (83), (85), (87), (90), (111), (232) are
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1527.
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |   (233)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.51/31.66  | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |   (234)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |   (235)  op(e1, e0) = e1
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (43), (59), (235) are inconsistent by
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |   (236)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | ALPHA: (236) implies:
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |   (237)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (19), (20), (21), (22), (26), (37), (40),
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            (49), (53), (56), (57), (62), (67), (69), (72),
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            (78), (82), (87), (90), (117), (155), (237) are
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #120.
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | Case 2:
% 194.51/31.66  | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | |   (238)  all_54_9 = e1 | all_54_9 = e0
% 194.51/31.66  | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | | REF_CLOSE: (91), (101), (106), (238) are inconsistent by
% 194.51/31.66  | | | | | | | | | | | |            sub-proof #130.
% 194.51/31.66  | | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | Case 2:
% 194.51/31.66  | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | |   (239)  all_56_13 = e2 & op(e0, e2) = e2
% 194.51/31.66  | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | ALPHA: (239) implies:
% 194.51/31.66  | | | | | | | | | | |   (240)  op(e0, e2) = e2
% 194.51/31.66  | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | | REF_CLOSE: (22), (86), (91), (101), (104), (106), (128),
% 194.51/31.66  | | | | | | | | | | |            (240) are inconsistent by sub-proof #119.
% 194.51/31.66  | | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | | 
% 194.51/31.66  | | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | | 
% 194.51/31.66  | | | | | | | | End of split
% 194.51/31.66  | | | | | | | | 
% 194.51/31.66  | | | | | | | End of split
% 194.51/31.66  | | | | | | | 
% 194.51/31.66  | | | | | | End of split
% 194.51/31.66  | | | | | | 
% 194.51/31.66  | | | | | End of split
% 194.51/31.66  | | | | | 
% 194.51/31.66  | | | | End of split
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | Case 2:
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | |   (241)  all_56_7 = e0 & op(e1, e2) = e0
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | | REF_CLOSE: (3), (4), (9), (18), (19), (22), (26), (53), (62), (64),
% 194.51/31.66  | | | |            (86), (89), (90), (91), (101), (102), (104), (105), (106),
% 194.51/31.66  | | | |            (241) are inconsistent by sub-proof #129.
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | End of split
% 194.51/31.66  | | | 
% 194.51/31.66  | | Case 2:
% 194.51/31.66  | | | 
% 194.51/31.66  | | |   (242)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.51/31.66  | | |            = e0)
% 194.51/31.66  | | | 
% 194.51/31.66  | | | REF_CLOSE: (2), (22), (51), (62), (90), (242) are inconsistent by
% 194.51/31.66  | | |            sub-proof #118.
% 194.51/31.66  | | | 
% 194.51/31.66  | | End of split
% 194.51/31.66  | | 
% 194.51/31.66  | Case 2:
% 194.51/31.66  | | 
% 194.51/31.66  | |   (243)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 & $i(all_14_1)
% 194.51/31.66  | | 
% 194.51/31.66  | | ALPHA: (243) implies:
% 194.51/31.66  | |   (244)   ~ (all_14_1 = e3)
% 194.51/31.66  | |   (245)  op(e0, e1) = all_14_1
% 194.51/31.66  | | 
% 194.51/31.66  | | REF_CLOSE: (22), (41), (70), (244), (245) are inconsistent by sub-proof
% 194.51/31.66  | |            #117.
% 194.51/31.66  | | 
% 194.51/31.66  | End of split
% 194.51/31.66  | 
% 194.51/31.66  End of proof
% 194.51/31.66  
% 194.51/31.66  Sub-proof #117 shows that the following formulas are inconsistent:
% 194.51/31.66  ----------------------------------------------------------------
% 194.51/31.66    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.66    (2)  op(e0, e1) = all_16_1
% 194.51/31.66    (3)   ~ (all_14_1 = e3)
% 194.51/31.66    (4)  op(e0, e1) = e3
% 194.51/31.66    (5)  op(e0, e1) = all_14_1
% 194.51/31.66  
% 194.51/31.66  Begin of proof
% 194.51/31.66  | 
% 194.51/31.66  | GROUND_INST: instantiating (1) with all_14_1, all_16_1, e1, e0, simplifying
% 194.51/31.66  |              with (2), (5) gives:
% 194.51/31.66  |   (6)  all_16_1 = all_14_1
% 194.51/31.66  | 
% 194.51/31.66  | GROUND_INST: instantiating (1) with e3, all_16_1, e1, e0, simplifying with
% 194.51/31.66  |              (2), (4) gives:
% 194.51/31.66  |   (7)  all_16_1 = e3
% 194.51/31.66  | 
% 194.51/31.66  | COMBINE_EQS: (6), (7) imply:
% 194.51/31.66  |   (8)  all_14_1 = e3
% 194.51/31.66  | 
% 194.51/31.66  | REDUCE: (3), (8) imply:
% 194.51/31.66  |   (9)  $false
% 194.51/31.66  | 
% 194.51/31.66  | CLOSE: (9) is inconsistent.
% 194.51/31.66  | 
% 194.51/31.66  End of proof
% 194.51/31.66  
% 194.51/31.66  Sub-proof #118 shows that the following formulas are inconsistent:
% 194.51/31.66  ----------------------------------------------------------------
% 194.51/31.66    (1)  op(e1, e1) = e1
% 194.51/31.66    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.66    (3)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.51/31.66    (4)  all_56_11 = e3
% 194.51/31.66    (5)   ~ (e1 = e0)
% 194.51/31.66    (6)   ~ (e3 = e0)
% 194.51/31.66  
% 194.51/31.66  Begin of proof
% 194.51/31.66  | 
% 194.51/31.66  | BETA: splitting (3) gives:
% 194.51/31.66  | 
% 194.51/31.66  | Case 1:
% 194.51/31.66  | | 
% 194.51/31.66  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 194.51/31.66  | | 
% 194.51/31.66  | | ALPHA: (7) implies:
% 194.51/31.66  | |   (8)  op(e1, e1) = e0
% 194.51/31.66  | | 
% 194.51/31.66  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1959.
% 194.51/31.66  | | 
% 194.51/31.66  | Case 2:
% 194.51/31.66  | | 
% 194.51/31.66  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 194.51/31.66  | | 
% 194.51/31.66  | | ALPHA: (9) implies:
% 194.51/31.66  | |   (10)  all_56_11 = e0
% 194.51/31.66  | | 
% 194.51/31.66  | | REF_CLOSE: (4), (6), (10) are inconsistent by sub-proof #958.
% 194.51/31.66  | | 
% 194.51/31.66  | End of split
% 194.51/31.66  | 
% 194.51/31.66  End of proof
% 194.51/31.66  
% 194.51/31.66  Sub-proof #119 shows that the following formulas are inconsistent:
% 194.51/31.66  ----------------------------------------------------------------
% 194.51/31.66    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.66    (2)  all_54_9 = all_4_0
% 194.51/31.66    (3)   ~ (all_4_0 = e1)
% 194.51/31.66    (4)   ~ (all_52_7 = all_4_0)
% 194.51/31.66    (5)  op(e0, e2) = e2
% 194.51/31.66    (6)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.51/31.66    (7)  op(e0, e2) = all_52_7
% 194.51/31.66    (8)   ~ (all_4_0 = e0)
% 194.51/31.66  
% 194.51/31.66  Begin of proof
% 194.51/31.66  | 
% 194.51/31.66  | BETA: splitting (6) gives:
% 194.51/31.66  | 
% 194.51/31.66  | Case 1:
% 194.51/31.66  | | 
% 194.51/31.66  | |   (9)  all_54_9 = e2
% 194.51/31.66  | | 
% 194.51/31.66  | | COMBINE_EQS: (2), (9) imply:
% 194.51/31.66  | |   (10)  all_4_0 = e2
% 194.51/31.66  | | 
% 194.51/31.66  | | REDUCE: (4), (10) imply:
% 194.51/31.66  | |   (11)   ~ (all_52_7 = e2)
% 194.51/31.66  | | 
% 194.51/31.66  | | REF_CLOSE: (1), (5), (7), (11) are inconsistent by sub-proof #428.
% 194.51/31.66  | | 
% 194.51/31.66  | Case 2:
% 194.51/31.66  | | 
% 194.51/31.66  | |   (12)  all_54_9 = e1 | all_54_9 = e0
% 194.51/31.66  | | 
% 194.51/31.66  | | REF_CLOSE: (2), (3), (8), (12) are inconsistent by sub-proof #130.
% 194.51/31.66  | | 
% 194.51/31.66  | End of split
% 194.51/31.66  | 
% 194.51/31.66  End of proof
% 194.51/31.66  
% 194.51/31.66  Sub-proof #120 shows that the following formulas are inconsistent:
% 194.51/31.66  ----------------------------------------------------------------
% 194.51/31.66    (1)  op(e1, e3) = all_52_2
% 194.51/31.66    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.51/31.66         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.51/31.66    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.51/31.66         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.51/31.66    (4)   ~ (e3 = e2)
% 194.51/31.66    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.66    (6)  op(e2, e2) = e3
% 194.51/31.66    (7)  all_54_10 = all_10_2
% 194.51/31.66    (8)  op(e0, e3) = all_52_3
% 194.51/31.66    (9)  all_54_10 = e1 | all_54_10 = e0
% 194.51/31.66    (10)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.51/31.66              e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.51/31.66            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.51/31.66             ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.51/31.66              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.51/31.66            (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.51/31.66            all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 194.51/31.66            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 194.51/31.66            = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.51/31.66          (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.51/31.66              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.51/31.66            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 194.51/31.66             ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.51/31.66              e1) = e0 & $i(all_57_7))
% 194.51/31.66    (11)  op(e3, e3) = e3
% 194.51/31.66    (12)  op(e1, e1) = all_10_2
% 194.51/31.66    (13)   ~ (all_52_2 = e3)
% 194.51/31.66    (14)   ~ (e1 = e0)
% 194.51/31.66    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.51/31.66          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.51/31.66    (16)   ~ (all_10_2 = e0)
% 194.51/31.66    (17)   ~ (e2 = e1)
% 194.51/31.66    (18)   ~ (all_52_3 = e0)
% 194.51/31.66    (19)   ~ (all_10_2 = e2)
% 194.51/31.66    (20)  all_56_12 = e2
% 194.51/31.66    (21)   ~ (e3 = e1)
% 194.51/31.66    (22)   ~ (e2 = e0)
% 194.51/31.66    (23)   ~ (e3 = e0)
% 194.51/31.66  
% 194.51/31.66  Begin of proof
% 194.51/31.66  | 
% 194.51/31.66  | BETA: splitting (10) gives:
% 194.51/31.66  | 
% 194.51/31.66  | Case 1:
% 194.51/31.66  | | 
% 194.51/31.66  | |   (24)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 194.51/31.66  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 194.51/31.66  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.51/31.66  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.51/31.66  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 194.51/31.66  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.51/31.66  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.51/31.66  | |           $i(all_57_3))
% 194.51/31.66  | | 
% 194.51/31.66  | | BETA: splitting (24) gives:
% 194.51/31.66  | | 
% 194.51/31.66  | | Case 1:
% 194.51/31.66  | | | 
% 194.51/31.66  | | |   (25)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.51/31.66  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.51/31.66  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 194.51/31.66  | | | 
% 194.51/31.66  | | | ALPHA: (25) implies:
% 194.51/31.66  | | |   (26)  op(e0, e3) = e0
% 194.51/31.66  | | | 
% 194.51/31.66  | | | REF_CLOSE: (5), (8), (18), (26) are inconsistent by sub-proof #1935.
% 194.51/31.66  | | | 
% 194.51/31.66  | | Case 2:
% 194.51/31.66  | | | 
% 194.51/31.66  | | |   (27)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.51/31.66  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.51/31.66  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.51/31.66  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.51/31.66  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.51/31.66  | | | 
% 194.51/31.66  | | | BETA: splitting (27) gives:
% 194.51/31.66  | | | 
% 194.51/31.66  | | | Case 1:
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | |   (28)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.51/31.66  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.51/31.66  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | | ALPHA: (28) implies:
% 194.51/31.66  | | | |   (29)  op(e0, e3) = e0
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | | REF_CLOSE: (5), (8), (18), (29) are inconsistent by sub-proof #1935.
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | Case 2:
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | |   (30)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.51/31.66  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.51/31.66  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | | ALPHA: (30) implies:
% 194.51/31.66  | | | |   (31)  op(e3, e3) = e2
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (13), (14), (15), (17), (18),
% 194.51/31.66  | | | |            (20), (21), (22), (23), (31) are inconsistent by sub-proof
% 194.51/31.66  | | | |            #740.
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | End of split
% 194.51/31.66  | | | 
% 194.51/31.66  | | End of split
% 194.51/31.66  | | 
% 194.51/31.66  | Case 2:
% 194.51/31.66  | | 
% 194.51/31.66  | |   (32)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.51/31.66  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.51/31.66  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.51/31.66  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.51/31.66  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.51/31.66  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.51/31.66  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.51/31.66  | |           $i(all_57_7))
% 194.51/31.66  | | 
% 194.51/31.66  | | REF_CLOSE: (5), (6), (7), (9), (11), (12), (16), (19), (21), (32) are
% 194.51/31.66  | |            inconsistent by sub-proof #208.
% 194.51/31.66  | | 
% 194.51/31.66  | End of split
% 194.51/31.66  | 
% 194.51/31.66  End of proof
% 194.51/31.66  
% 194.51/31.66  Sub-proof #121 shows that the following formulas are inconsistent:
% 194.51/31.66  ----------------------------------------------------------------
% 194.51/31.66    (1)  op(e1, e1) = e1
% 194.51/31.66    (2)  all_56_1 = e1
% 194.51/31.66    (3)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.51/31.66    (4)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.51/31.66         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.51/31.66    (5)   ~ (all_52_1 = all_52_9)
% 194.51/31.66    (6)  op(e0, e0) = e1
% 194.51/31.66    (7)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.51/31.66         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.51/31.66    (8)   ~ (all_52_13 = e2)
% 194.51/31.66    (9)   ~ (e3 = e2)
% 194.51/31.66    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.66            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.66    (11)  all_56_13 = e0
% 194.51/31.66    (12)   ~ (all_14_0 = e3)
% 194.51/31.66    (13)  op(e2, e0) = all_52_13
% 194.51/31.66    (14)   ~ (all_14_0 = e2)
% 194.51/31.66    (15)  all_54_3 = all_14_0
% 194.51/31.66    (16)  all_57_12 = e3
% 194.51/31.66    (17)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.51/31.66          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.51/31.66    (18)  all_52_9 = e2
% 194.51/31.66    (19)   ~ (all_14_0 = e1)
% 194.51/31.66    (20)  all_56_11 = e3
% 194.51/31.66    (21)  op(e3, e3) = e3
% 194.51/31.66    (22)  all_56_14 = e3
% 194.51/31.66    (23)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.51/31.66          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.51/31.66    (24)   ~ (e1 = e0)
% 194.51/31.66    (25)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 194.51/31.66          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 194.51/31.66    (26)  all_56_2 = e1
% 194.51/31.66    (27)  all_56_3 = e3
% 194.51/31.66    (28)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.51/31.66          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.51/31.66    (29)  op(e2, e2) = all_57_12
% 194.51/31.66    (30)   ~ (all_52_13 = all_14_0)
% 194.51/31.66    (31)   ~ (e2 = e1)
% 194.51/31.66    (32)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.51/31.66          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.51/31.66    (33)  all_56_7 = e2
% 194.51/31.66    (34)  op(e2, e1) = all_52_9
% 194.51/31.66    (35)   ~ (e3 = e1)
% 194.51/31.66    (36)   ~ (e2 = e0)
% 194.51/31.66    (37)  op(e2, e3) = all_52_1
% 194.51/31.66    (38)   ~ (e3 = e0)
% 194.51/31.66  
% 194.51/31.66  Begin of proof
% 194.51/31.66  | 
% 194.51/31.66  | REDUCE: (16), (29) imply:
% 194.51/31.66  |   (39)  op(e2, e2) = e3
% 194.51/31.66  | 
% 194.51/31.66  | REDUCE: (18), (34) imply:
% 194.51/31.66  |   (40)  op(e2, e1) = e2
% 194.51/31.66  | 
% 194.51/31.66  | BETA: splitting (32) gives:
% 194.51/31.66  | 
% 194.51/31.66  | Case 1:
% 194.51/31.66  | | 
% 194.51/31.66  | |   (41)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 194.51/31.66  | |           e2)
% 194.51/31.66  | | 
% 194.51/31.66  | | REF_CLOSE: (5), (9), (10), (34), (37), (39), (40), (41) are inconsistent by
% 194.51/31.66  | |            sub-proof #207.
% 194.51/31.66  | | 
% 194.51/31.66  | Case 2:
% 194.51/31.66  | | 
% 194.51/31.66  | |   (42)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 194.51/31.66  | |           e2)
% 194.51/31.66  | | 
% 194.51/31.66  | | BETA: splitting (42) gives:
% 194.51/31.66  | | 
% 194.51/31.66  | | Case 1:
% 194.51/31.66  | | | 
% 194.51/31.66  | | |   (43)  all_56_5 = e2 & op(e2, e1) = e2
% 194.51/31.66  | | | 
% 194.51/31.66  | | | ALPHA: (43) implies:
% 194.51/31.66  | | |   (44)  all_56_5 = e2
% 194.51/31.66  | | | 
% 194.51/31.66  | | | BETA: splitting (3) gives:
% 194.51/31.66  | | | 
% 194.51/31.66  | | | Case 1:
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | |   (45)  all_54_3 = e3
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | | COMBINE_EQS: (15), (45) imply:
% 194.51/31.66  | | | |   (46)  all_14_0 = e3
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | | REDUCE: (12), (46) imply:
% 194.51/31.66  | | | |   (47)  $false
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | | CLOSE: (47) is inconsistent.
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | Case 2:
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | |   (48)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | | BETA: splitting (4) gives:
% 194.51/31.66  | | | | 
% 194.51/31.66  | | | | Case 1:
% 194.51/31.66  | | | | | 
% 194.51/31.66  | | | | |   (49)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2,
% 194.51/31.66  | | | | |             e2) = e0)
% 194.51/31.66  | | | | | 
% 194.51/31.66  | | | | | BETA: splitting (49) gives:
% 194.51/31.66  | | | | | 
% 194.51/31.66  | | | | | Case 1:
% 194.51/31.66  | | | | | | 
% 194.51/31.66  | | | | | |   (50)  all_56_2 = e0 & op(e2, e3) = e0
% 194.51/31.66  | | | | | | 
% 194.51/31.66  | | | | | | REF_CLOSE: (24), (26), (50) are inconsistent by sub-proof #1858.
% 194.51/31.66  | | | | | | 
% 194.51/31.66  | | | | | Case 2:
% 194.51/31.66  | | | | | | 
% 194.51/31.66  | | | | | |   (51)  all_56_3 = e0 & op(e2, e2) = e0
% 194.51/31.66  | | | | | | 
% 194.51/31.66  | | | | | | ALPHA: (51) implies:
% 194.51/31.66  | | | | | |   (52)  op(e2, e2) = e0
% 194.51/31.66  | | | | | | 
% 194.51/31.66  | | | | | | REF_CLOSE: (10), (38), (39), (52) are inconsistent by sub-proof
% 194.51/31.66  | | | | | |            #202.
% 194.51/31.66  | | | | | | 
% 194.51/31.66  | | | | | End of split
% 194.51/31.66  | | | | | 
% 194.51/31.66  | | | | Case 2:
% 194.51/31.66  | | | | | 
% 194.51/31.66  | | | | |   (53)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2,
% 194.51/31.66  | | | | |             e0) = e0)
% 194.51/31.66  | | | | | 
% 194.51/31.66  | | | | | BETA: splitting (53) gives:
% 194.51/31.66  | | | | | 
% 194.51/31.66  | | | | | Case 1:
% 194.51/31.66  | | | | | | 
% 194.51/31.67  | | | | | |   (54)  all_56_5 = e0 & op(e2, e1) = e0
% 194.51/31.67  | | | | | | 
% 194.51/31.67  | | | | | | ALPHA: (54) implies:
% 194.51/31.67  | | | | | |   (55)  all_56_5 = e0
% 194.51/31.67  | | | | | | 
% 194.51/31.67  | | | | | | COMBINE_EQS: (44), (55) imply:
% 194.51/31.67  | | | | | |   (56)  e2 = e0
% 194.51/31.67  | | | | | | 
% 194.51/31.67  | | | | | | COMBINE_EQS: (33), (56) imply:
% 194.51/31.67  | | | | | |   (57)  all_56_7 = e0
% 194.51/31.67  | | | | | | 
% 194.51/31.67  | | | | | | BETA: splitting (7) gives:
% 194.51/31.67  | | | | | | 
% 194.51/31.67  | | | | | | Case 1:
% 194.51/31.67  | | | | | | | 
% 194.51/31.67  | | | | | | |   (58)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 &
% 194.51/31.67  | | | | | | |           op(e2, e2) = e2)
% 194.51/31.67  | | | | | | | 
% 194.51/31.67  | | | | | | | BETA: splitting (58) gives:
% 194.51/31.67  | | | | | | | 
% 194.51/31.67  | | | | | | | Case 1:
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | |   (59)  all_56_1 = e2 & op(e3, e2) = e2
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | | REF_CLOSE: (2), (31), (59) are inconsistent by sub-proof #1105.
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | Case 2:
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | |   (60)  all_56_3 = e2 & op(e2, e2) = e2
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | | ALPHA: (60) implies:
% 194.51/31.67  | | | | | | | |   (61)  all_56_3 = e2
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | | COMBINE_EQS: (27), (61) imply:
% 194.51/31.67  | | | | | | | |   (62)  e3 = e2
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | | COMBINE_EQS: (20), (62) imply:
% 194.51/31.67  | | | | | | | |   (63)  all_56_11 = e2
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | | BETA: splitting (25) gives:
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | | Case 1:
% 194.51/31.67  | | | | | | | | | 
% 194.51/31.67  | | | | | | | | |   (64)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 194.51/31.67  | | | | | | | | |           op(e2, e0) = e3)
% 194.51/31.67  | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | REF_CLOSE: (1), (2), (9), (10), (17), (21), (22), (23), (24),
% 194.51/31.67  | | | | | | | | |            (26), (27), (28), (31), (32), (35), (36), (38),
% 194.51/31.67  | | | | | | | | |            (55), (64) are inconsistent by sub-proof #959.
% 194.51/31.67  | | | | | | | | | 
% 194.51/31.67  | | | | | | | | Case 2:
% 194.51/31.67  | | | | | | | | | 
% 194.51/31.67  | | | | | | | | |   (65)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 194.51/31.67  | | | | | | | | |           op(e0, e0) = e3)
% 194.51/31.67  | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | BETA: splitting (65) gives:
% 194.51/31.67  | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | Case 1:
% 194.51/31.67  | | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | |   (66)  all_56_11 = e3 & op(e1, e0) = e3
% 194.51/31.67  | | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | | COMBINE_EQS: (20), (63) imply:
% 194.51/31.67  | | | | | | | | | |   (67)  e3 = e2
% 194.51/31.67  | | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | | COMBINE_EQS: (22), (62) imply:
% 194.51/31.67  | | | | | | | | | |   (68)  all_56_14 = e2
% 194.51/31.67  | | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | | REF_CLOSE: (1), (2), (9), (10), (17), (21), (23), (24), (28),
% 194.51/31.67  | | | | | | | | | |            (31), (35), (36), (38), (55), (68) are
% 194.51/31.67  | | | | | | | | | |            inconsistent by sub-proof #973.
% 194.51/31.67  | | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | Case 2:
% 194.51/31.67  | | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | |   (69)  all_56_15 = e3 & op(e0, e0) = e3
% 194.51/31.67  | | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | | ALPHA: (69) implies:
% 194.51/31.67  | | | | | | | | | |   (70)  op(e0, e0) = e3
% 194.51/31.67  | | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | | REF_CLOSE: (6), (10), (35), (70) are inconsistent by
% 194.51/31.67  | | | | | | | | | |            sub-proof #1392.
% 194.51/31.67  | | | | | | | | | | 
% 194.51/31.67  | | | | | | | | | End of split
% 194.51/31.67  | | | | | | | | | 
% 194.51/31.67  | | | | | | | | End of split
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | End of split
% 194.51/31.67  | | | | | | | 
% 194.51/31.67  | | | | | | Case 2:
% 194.51/31.67  | | | | | | | 
% 194.51/31.67  | | | | | | |   (71)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 194.51/31.67  | | | | | | |           op(e0, e2) = e2)
% 194.51/31.67  | | | | | | | 
% 194.51/31.67  | | | | | | | BETA: splitting (71) gives:
% 194.51/31.67  | | | | | | | 
% 194.51/31.67  | | | | | | | Case 1:
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | |   (72)  all_56_7 = e2 & op(e1, e2) = e2
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | | REF_CLOSE: (36), (57), (72) are inconsistent by sub-proof #1262.
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | Case 2:
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | |   (73)  all_56_13 = e2 & op(e0, e2) = e2
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | | ALPHA: (73) implies:
% 194.51/31.67  | | | | | | | |   (74)  all_56_13 = e2
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | | REF_CLOSE: (11), (36), (74) are inconsistent by sub-proof #1357.
% 194.51/31.67  | | | | | | | | 
% 194.51/31.67  | | | | | | | End of split
% 194.51/31.67  | | | | | | | 
% 194.51/31.67  | | | | | | End of split
% 194.51/31.67  | | | | | | 
% 194.51/31.67  | | | | | Case 2:
% 194.51/31.67  | | | | | | 
% 194.51/31.67  | | | | | |   (75)  all_56_10 = e0 & op(e2, e0) = e0
% 194.51/31.67  | | | | | | 
% 194.51/31.67  | | | | | | ALPHA: (75) implies:
% 194.51/31.67  | | | | | |   (76)  op(e2, e0) = e0
% 194.51/31.67  | | | | | | 
% 194.51/31.67  | | | | | | REF_CLOSE: (10), (13), (14), (15), (19), (30), (48), (76) are
% 194.51/31.67  | | | | | |            inconsistent by sub-proof #122.
% 194.51/31.67  | | | | | | 
% 194.51/31.67  | | | | | End of split
% 194.51/31.67  | | | | | 
% 194.51/31.67  | | | | End of split
% 194.51/31.67  | | | | 
% 194.51/31.67  | | | End of split
% 194.51/31.67  | | | 
% 194.51/31.67  | | Case 2:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (77)  all_56_10 = e2 & op(e2, e0) = e2
% 194.51/31.67  | | | 
% 194.51/31.67  | | | ALPHA: (77) implies:
% 194.51/31.67  | | |   (78)  op(e2, e0) = e2
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (8), (10), (13), (78) are inconsistent by sub-proof #1662.
% 194.51/31.67  | | | 
% 194.51/31.67  | | End of split
% 194.51/31.67  | | 
% 194.51/31.67  | End of split
% 194.51/31.67  | 
% 194.51/31.67  End of proof
% 194.51/31.67  
% 194.51/31.67  Sub-proof #122 shows that the following formulas are inconsistent:
% 194.51/31.67  ----------------------------------------------------------------
% 194.51/31.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.67    (2)  op(e2, e0) = e0
% 194.51/31.67    (3)  op(e2, e0) = all_52_13
% 194.51/31.67    (4)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.51/31.67    (5)   ~ (all_14_0 = e2)
% 194.51/31.67    (6)  all_54_3 = all_14_0
% 194.51/31.67    (7)   ~ (all_14_0 = e1)
% 194.51/31.67    (8)   ~ (all_52_13 = all_14_0)
% 194.51/31.67  
% 194.51/31.67  Begin of proof
% 194.51/31.67  | 
% 194.51/31.67  | BETA: splitting (4) gives:
% 194.51/31.67  | 
% 194.51/31.67  | Case 1:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (9)  all_54_3 = e2
% 194.51/31.67  | | 
% 194.51/31.67  | | COMBINE_EQS: (6), (9) imply:
% 194.51/31.67  | |   (10)  all_14_0 = e2
% 194.51/31.67  | | 
% 194.51/31.67  | | REDUCE: (5), (10) imply:
% 194.51/31.67  | |   (11)  $false
% 194.51/31.67  | | 
% 194.51/31.67  | | CLOSE: (11) is inconsistent.
% 194.51/31.67  | | 
% 194.51/31.67  | Case 2:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (12)  all_54_3 = e1 | all_54_3 = e0
% 194.51/31.67  | | 
% 194.51/31.67  | | BETA: splitting (12) gives:
% 194.51/31.67  | | 
% 194.51/31.67  | | Case 1:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (13)  all_54_3 = e1
% 194.51/31.67  | | | 
% 194.51/31.67  | | | COMBINE_EQS: (6), (13) imply:
% 194.51/31.67  | | |   (14)  all_14_0 = e1
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REDUCE: (7), (14) imply:
% 194.51/31.67  | | |   (15)  $false
% 194.51/31.67  | | | 
% 194.51/31.67  | | | CLOSE: (15) is inconsistent.
% 194.51/31.67  | | | 
% 194.51/31.67  | | Case 2:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (16)  all_54_3 = e0
% 194.51/31.67  | | | 
% 194.51/31.67  | | | COMBINE_EQS: (6), (16) imply:
% 194.51/31.67  | | |   (17)  all_14_0 = e0
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REDUCE: (8), (17) imply:
% 194.51/31.67  | | |   (18)   ~ (all_52_13 = e0)
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (1), (2), (3), (18) are inconsistent by sub-proof #1173.
% 194.51/31.67  | | | 
% 194.51/31.67  | | End of split
% 194.51/31.67  | | 
% 194.51/31.67  | End of split
% 194.51/31.67  | 
% 194.51/31.67  End of proof
% 194.51/31.67  
% 194.51/31.67  Sub-proof #123 shows that the following formulas are inconsistent:
% 194.51/31.67  ----------------------------------------------------------------
% 194.51/31.67    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.51/31.67         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.51/31.67    (2)   ~ (e3 = e2)
% 194.51/31.67    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.67    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.51/31.67         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.51/31.67    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.51/31.67         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.51/31.67    (6)  all_56_14 = e3
% 194.51/31.67    (7)   ~ (e1 = e0)
% 194.51/31.67    (8)   ~ (e2 = e1)
% 194.51/31.67    (9)   ~ (e3 = e1)
% 194.51/31.67    (10)  op(e1, e1) = e3
% 194.51/31.67    (11)   ~ (e2 = e0)
% 194.51/31.67    (12)  op(e2, e1) = e2
% 194.51/31.67    (13)   ~ (e3 = e0)
% 194.51/31.67  
% 194.51/31.67  Begin of proof
% 194.51/31.67  | 
% 194.51/31.67  | BETA: splitting (5) gives:
% 194.51/31.67  | 
% 194.51/31.67  | Case 1:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 194.51/31.67  | |           e1)
% 194.51/31.67  | | 
% 194.51/31.67  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (10), (11), (12), (13), (14)
% 194.51/31.67  | |            are inconsistent by sub-proof #573.
% 194.51/31.67  | | 
% 194.51/31.67  | Case 2:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (15)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 194.51/31.67  | |           e1)
% 194.51/31.67  | | 
% 194.51/31.67  | | BETA: splitting (15) gives:
% 194.51/31.67  | | 
% 194.51/31.67  | | Case 1:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (16)  all_56_8 = e1 & op(e1, e1) = e1
% 194.51/31.67  | | | 
% 194.51/31.67  | | | ALPHA: (16) implies:
% 194.51/31.67  | | |   (17)  op(e1, e1) = e1
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (3), (9), (10), (17) are inconsistent by sub-proof #1978.
% 194.51/31.67  | | | 
% 194.51/31.67  | | Case 2:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (18)  all_56_14 = e1 & op(e0, e1) = e1
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (6), (9), (18) are inconsistent by sub-proof #1748.
% 194.51/31.67  | | | 
% 194.51/31.67  | | End of split
% 194.51/31.67  | | 
% 194.51/31.67  | End of split
% 194.51/31.67  | 
% 194.51/31.67  End of proof
% 194.51/31.67  
% 194.51/31.67  Sub-proof #124 shows that the following formulas are inconsistent:
% 194.51/31.67  ----------------------------------------------------------------
% 194.51/31.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.67    (2)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.51/31.67           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.51/31.67           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.51/31.67                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.51/31.67               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.51/31.67               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.51/31.67           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.51/31.67           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.51/31.67             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.67           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.51/31.67               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.51/31.67           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.51/31.67           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.51/31.67               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.51/31.67               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.51/31.67               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.51/31.67         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.51/31.67           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.51/31.67           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.51/31.67               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.51/31.67             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.51/31.67    (3)  op(e1, e2) = e2
% 194.51/31.67    (4)  op(e0, e3) = all_52_3
% 194.51/31.67    (5)  op(e3, e3) = e3
% 194.51/31.67    (6)  op(e2, e2) = all_57_12
% 194.51/31.67    (7)   ~ (e2 = e1)
% 194.51/31.67    (8)   ~ (all_52_3 = e0)
% 194.51/31.67    (9)   ~ (all_57_12 = e1)
% 194.51/31.67    (10)   ~ (e3 = e0)
% 194.51/31.67  
% 194.51/31.67  Begin of proof
% 194.51/31.67  | 
% 194.51/31.67  | BETA: splitting (2) gives:
% 194.51/31.67  | 
% 194.51/31.67  | Case 1:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (11)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.51/31.67  | |           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.51/31.67  | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.51/31.67  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.51/31.67  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.51/31.67  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.51/31.67  | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.51/31.67  | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.51/31.67  | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.51/31.67  | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 194.51/31.67  | |                 e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.51/31.67  | |               $i(all_57_1))))
% 194.51/31.67  | | 
% 194.51/31.67  | | REF_CLOSE: (1), (4), (5), (8), (10), (11) are inconsistent by sub-proof
% 194.51/31.67  | |            #1328.
% 194.51/31.67  | | 
% 194.51/31.67  | Case 2:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (12)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.51/31.67  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.51/31.67  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.51/31.67  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.51/31.67  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.67  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 194.51/31.67  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.51/31.67  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 194.51/31.67  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.51/31.67  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.51/31.67  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.51/31.67  | |               $i(all_57_5))))
% 194.51/31.67  | | 
% 194.51/31.67  | | BETA: splitting (12) gives:
% 194.51/31.67  | | 
% 194.51/31.67  | | Case 1:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (13)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.51/31.67  | | |         op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.51/31.67  | | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.51/31.67  | | |             (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.51/31.67  | | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.51/31.67  | | |               e1) = all_57_8 & $i(all_57_8)))
% 194.51/31.67  | | | 
% 194.51/31.67  | | | ALPHA: (13) implies:
% 194.51/31.67  | | |   (14)  op(e2, e2) = e1
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (1), (6), (9), (14) are inconsistent by sub-proof #1890.
% 194.51/31.67  | | | 
% 194.51/31.67  | | Case 2:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (15)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.51/31.67  | | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.51/31.67  | | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.51/31.67  | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.51/31.67  | | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.51/31.67  | | |               e2) = all_57_5 & $i(all_57_5)))
% 194.51/31.67  | | | 
% 194.51/31.67  | | | ALPHA: (15) implies:
% 194.51/31.67  | | |   (16)  op(e1, e2) = e1
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (1), (3), (7), (16) are inconsistent by sub-proof #784.
% 194.51/31.67  | | | 
% 194.51/31.67  | | End of split
% 194.51/31.67  | | 
% 194.51/31.67  | End of split
% 194.51/31.67  | 
% 194.51/31.67  End of proof
% 194.51/31.67  
% 194.51/31.67  Sub-proof #125 shows that the following formulas are inconsistent:
% 194.51/31.67  ----------------------------------------------------------------
% 194.51/31.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.67    (2)  op(e3, e3) = e3
% 194.51/31.67    (3)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.51/31.67           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.51/31.67           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.51/31.67                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.51/31.67               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.51/31.67               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.51/31.67           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 194.51/31.67           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.51/31.67               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.51/31.67           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.51/31.67               = all_57_2 & $i(all_57_2))))
% 194.51/31.67    (4)   ~ (e1 = e0)
% 194.51/31.67    (5)   ~ (e3 = e1)
% 194.51/31.67    (6)  op(e1, e3) = e0
% 194.51/31.67  
% 194.51/31.67  Begin of proof
% 194.51/31.67  | 
% 194.51/31.67  | BETA: splitting (3) gives:
% 194.51/31.67  | 
% 194.51/31.67  | Case 1:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.51/31.67  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.51/31.67  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.51/31.67  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 194.51/31.67  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.51/31.67  | |            & $i(all_57_8)))
% 194.51/31.67  | | 
% 194.51/31.67  | | ALPHA: (7) implies:
% 194.51/31.67  | |   (8)  op(e3, e3) = e1
% 194.51/31.67  | | 
% 194.51/31.67  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1966.
% 194.51/31.67  | | 
% 194.51/31.67  | Case 2:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.51/31.67  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.51/31.67  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.51/31.67  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.51/31.67  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 194.51/31.67  | |            & $i(all_57_2)))
% 194.51/31.67  | | 
% 194.51/31.67  | | ALPHA: (9) implies:
% 194.51/31.67  | |   (10)  op(e1, e3) = e1
% 194.51/31.67  | | 
% 194.51/31.67  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #489.
% 194.51/31.67  | | 
% 194.51/31.67  | End of split
% 194.51/31.67  | 
% 194.51/31.67  End of proof
% 194.51/31.67  
% 194.51/31.67  Sub-proof #126 shows that the following formulas are inconsistent:
% 194.51/31.67  ----------------------------------------------------------------
% 194.51/31.67    (1)   ~ (all_52_4 = e3)
% 194.51/31.67    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.67    (3)  op(e3, e2) = all_52_4
% 194.51/31.67    (4)  op(e2, e2) = e3
% 194.51/31.67    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 194.51/31.67         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.51/31.67    (6)  op(e1, e2) = e2
% 194.51/31.67    (7)  op(e1, e0) = all_52_14
% 194.51/31.67    (8)  op(e0, e2) = e0
% 194.51/31.67    (9)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.51/31.67         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.51/31.67    (10)  all_56_6 = e0
% 194.51/31.67    (11)   ~ (all_52_7 = e1)
% 194.51/31.67    (12)  all_56_14 = e3
% 194.51/31.67    (13)   ~ (all_52_14 = e1)
% 194.51/31.67    (14)   ~ (e1 = e0)
% 194.51/31.67    (15)   ~ (e2 = e1)
% 194.51/31.67    (16)  all_56_7 = e2
% 194.51/31.67    (17)  all_56_12 = e2
% 194.51/31.67    (18)   ~ (e3 = e1)
% 194.51/31.67    (19)  op(e0, e2) = all_52_7
% 194.51/31.67    (20)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.51/31.67              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.51/31.67            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.51/31.67            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.51/31.67            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.51/31.67            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.51/31.67            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.51/31.67            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.51/31.67            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.51/31.67            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.51/31.67            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.51/31.67            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.51/31.67            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.51/31.67            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.51/31.67            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.51/31.67            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.51/31.67            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.51/31.67            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.51/31.67            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.51/31.67            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.51/31.67            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.51/31.67            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.51/31.67            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.51/31.67            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.51/31.67            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.51/31.67            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.51/31.67            $i(all_57_10))
% 194.51/31.67    (21)  op(e1, e3) = e0
% 194.51/31.67  
% 194.51/31.67  Begin of proof
% 194.51/31.67  | 
% 194.51/31.67  | BETA: splitting (20) gives:
% 194.51/31.67  | 
% 194.51/31.67  | Case 1:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (22)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 194.51/31.67  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.51/31.67  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 194.51/31.67  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 194.51/31.67  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.51/31.67  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 194.51/31.67  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 194.51/31.67  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 194.51/31.67  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 194.51/31.67  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 194.51/31.67  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.51/31.67  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.51/31.67  | | 
% 194.51/31.67  | | BETA: splitting (22) gives:
% 194.51/31.67  | | 
% 194.51/31.67  | | Case 1:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (23)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.51/31.67  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.51/31.67  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 194.51/31.67  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 194.51/31.67  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 194.51/31.67  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.51/31.67  | | |           $i(all_57_2) & $i(all_57_12))
% 194.51/31.67  | | | 
% 194.51/31.67  | | | BETA: splitting (23) gives:
% 194.51/31.67  | | | 
% 194.51/31.67  | | | Case 1:
% 194.51/31.67  | | | | 
% 194.51/31.67  | | | |   (24)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.51/31.67  | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.51/31.67  | | | |         op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 194.51/31.67  | | | |         $i(all_57_12)
% 194.51/31.67  | | | | 
% 194.51/31.67  | | | | ALPHA: (24) implies:
% 194.51/31.67  | | | |   (25)  op(e1, e1) = e3
% 194.51/31.67  | | | | 
% 194.51/31.67  | | | | REF_CLOSE: (2), (7), (9), (10), (13), (14), (15), (16), (18), (25) are
% 194.51/31.67  | | | |            inconsistent by sub-proof #577.
% 194.51/31.67  | | | | 
% 194.51/31.67  | | | Case 2:
% 194.51/31.67  | | | | 
% 194.51/31.67  | | | |   (26)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 194.51/31.67  | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.51/31.67  | | | |         op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 194.51/31.67  | | | |         $i(all_57_12)
% 194.51/31.67  | | | | 
% 194.51/31.67  | | | | ALPHA: (26) implies:
% 194.51/31.67  | | | |   (27)  op(e0, e0) = e3
% 194.51/31.67  | | | | 
% 194.51/31.67  | | | | REF_CLOSE: (2), (5), (11), (12), (15), (17), (18), (19), (27) are
% 194.51/31.67  | | | |            inconsistent by sub-proof #1039.
% 194.51/31.67  | | | | 
% 194.51/31.67  | | | End of split
% 194.51/31.67  | | | 
% 194.51/31.67  | | Case 2:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (28)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.51/31.67  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.51/31.67  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.51/31.67  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 194.51/31.67  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 194.51/31.67  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.51/31.67  | | |           $i(all_57_2) & $i(all_57_14))
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (2), (14), (21), (28) are inconsistent by sub-proof #145.
% 194.51/31.67  | | | 
% 194.51/31.67  | | End of split
% 194.51/31.67  | | 
% 194.51/31.67  | Case 2:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (29)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.51/31.67  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.51/31.67  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.51/31.67  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.51/31.67  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.51/31.67  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 194.51/31.67  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.51/31.67  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 194.51/31.67  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.51/31.67  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.51/31.67  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.51/31.67  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.51/31.67  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.51/31.67  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.51/31.67  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.51/31.67  | | 
% 194.51/31.67  | | BETA: splitting (29) gives:
% 194.51/31.67  | | 
% 194.51/31.67  | | Case 1:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (30)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.51/31.67  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.51/31.67  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.51/31.67  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 194.51/31.67  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 194.51/31.67  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.51/31.67  | | |           $i(all_57_5) & $i(all_57_10))
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (1), (2), (3), (8), (30) are inconsistent by sub-proof #128.
% 194.51/31.67  | | | 
% 194.51/31.67  | | Case 2:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (31)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.51/31.67  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.51/31.67  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.51/31.67  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 194.51/31.67  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 194.51/31.67  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.51/31.67  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 194.51/31.67  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.51/31.67  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.51/31.67  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (2), (4), (6), (15), (18), (31) are inconsistent by sub-proof
% 194.51/31.67  | | |            #127.
% 194.51/31.67  | | | 
% 194.51/31.67  | | End of split
% 194.51/31.67  | | 
% 194.51/31.67  | End of split
% 194.51/31.67  | 
% 194.51/31.67  End of proof
% 194.51/31.67  
% 194.51/31.67  Sub-proof #127 shows that the following formulas are inconsistent:
% 194.51/31.67  ----------------------------------------------------------------
% 194.51/31.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.67    (2)  op(e2, e2) = e3
% 194.51/31.67    (3)  op(e1, e2) = e2
% 194.51/31.67    (4)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 194.51/31.67             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 194.51/31.67           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 194.51/31.67           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 194.51/31.67             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 194.51/31.67             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 194.51/31.67           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.51/31.67           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.51/31.67           $i(all_57_7) & $i(all_57_10))
% 194.51/31.67    (5)   ~ (e2 = e1)
% 194.51/31.67    (6)   ~ (e3 = e1)
% 194.51/31.67  
% 194.51/31.67  Begin of proof
% 194.51/31.67  | 
% 194.51/31.67  | BETA: splitting (4) gives:
% 194.51/31.67  | 
% 194.51/31.67  | Case 1:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (7)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 194.51/31.67  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 194.51/31.67  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 194.51/31.67  | | 
% 194.51/31.67  | | ALPHA: (7) implies:
% 194.51/31.67  | |   (8)  op(e1, e2) = e1
% 194.51/31.67  | | 
% 194.51/31.67  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #784.
% 194.51/31.67  | | 
% 194.51/31.67  | Case 2:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (9)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.51/31.67  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.51/31.67  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.51/31.67  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.51/31.67  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.51/31.67  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.51/31.67  | | 
% 194.51/31.67  | | BETA: splitting (9) gives:
% 194.51/31.67  | | 
% 194.51/31.67  | | Case 1:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (10)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.51/31.67  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.51/31.67  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.51/31.67  | | |         $i(all_57_14)
% 194.51/31.67  | | | 
% 194.51/31.67  | | | ALPHA: (10) implies:
% 194.51/31.67  | | |   (11)  op(e1, e2) = e1
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (1), (3), (5), (11) are inconsistent by sub-proof #784.
% 194.51/31.67  | | | 
% 194.51/31.67  | | Case 2:
% 194.51/31.67  | | | 
% 194.51/31.67  | | |   (12)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.51/31.67  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.51/31.67  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.51/31.67  | | |         $i(all_57_10)
% 194.51/31.67  | | | 
% 194.51/31.67  | | | ALPHA: (12) implies:
% 194.51/31.67  | | |   (13)  op(e2, e2) = e1
% 194.51/31.67  | | | 
% 194.51/31.67  | | | REF_CLOSE: (1), (2), (6), (13) are inconsistent by sub-proof #1679.
% 194.51/31.67  | | | 
% 194.51/31.67  | | End of split
% 194.51/31.67  | | 
% 194.51/31.67  | End of split
% 194.51/31.67  | 
% 194.51/31.67  End of proof
% 194.51/31.67  
% 194.51/31.67  Sub-proof #128 shows that the following formulas are inconsistent:
% 194.51/31.67  ----------------------------------------------------------------
% 194.51/31.67    (1)   ~ (all_52_4 = e3)
% 194.51/31.67    (2)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 194.51/31.67             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.51/31.67           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 194.51/31.67           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.51/31.67           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 194.51/31.67           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 194.51/31.67    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.51/31.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.51/31.67    (4)  op(e3, e2) = all_52_4
% 194.51/31.67    (5)  op(e0, e2) = e0
% 194.51/31.67  
% 194.51/31.67  Begin of proof
% 194.51/31.67  | 
% 194.51/31.67  | BETA: splitting (2) gives:
% 194.51/31.67  | 
% 194.51/31.67  | Case 1:
% 194.51/31.67  | | 
% 194.51/31.67  | |   (6)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 194.51/31.67  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.51/31.67  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 194.51/31.67  | | 
% 194.51/31.67  | | ALPHA: (6) implies:
% 194.51/31.67  | |   (7)  op(e3, e2) = e3
% 194.51/31.67  | | 
% 194.51/31.67  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1972.
% 194.51/31.68  | | 
% 194.51/31.68  | Case 2:
% 194.51/31.68  | | 
% 194.51/31.68  | |   (8)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 194.51/31.68  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.51/31.68  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 194.51/31.68  | | 
% 194.51/31.68  | | ALPHA: (8) implies:
% 194.51/31.68  | |   (9)   ~ (all_57_5 = e0)
% 194.51/31.68  | |   (10)  op(e0, e2) = all_57_5
% 194.51/31.68  | | 
% 194.51/31.68  | | REF_CLOSE: (3), (5), (9), (10) are inconsistent by sub-proof #1589.
% 194.51/31.68  | | 
% 194.51/31.68  | End of split
% 194.51/31.68  | 
% 194.51/31.68  End of proof
% 194.51/31.68  
% 194.51/31.68  Sub-proof #129 shows that the following formulas are inconsistent:
% 194.51/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)  all_56_7 = e0 & op(e1, e2) = e0
% 194.58/31.68    (2)  op(e1, e3) = all_52_2
% 194.58/31.68    (3)  all_56_1 = e1
% 194.58/31.68    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.58/31.68         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.58/31.68    (5)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.58/31.68         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.58/31.68    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.58/31.68         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.58/31.68    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (8)  op(e2, e2) = e3
% 194.58/31.68    (9)   ~ (all_4_0 = e3)
% 194.58/31.68    (10)  all_54_9 = all_4_0
% 194.58/31.68    (11)   ~ (all_4_0 = e1)
% 194.58/31.68    (12)   ~ (all_52_7 = all_4_0)
% 194.58/31.68    (13)  op(e3, e3) = e3
% 194.58/31.68    (14)   ~ (e1 = e0)
% 194.58/31.68    (15)  all_56_2 = e1
% 194.58/31.68    (16)  op(e0, e2) = all_52_7
% 194.58/31.68    (17)   ~ (all_52_2 = all_4_0)
% 194.58/31.68    (18)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.58/31.68    (19)   ~ (e3 = e0)
% 194.58/31.68    (20)   ~ (all_4_0 = e0)
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | ALPHA: (1) implies:
% 194.58/31.68  |   (21)  all_56_7 = e0
% 194.58/31.68  | 
% 194.58/31.68  | BETA: splitting (18) gives:
% 194.58/31.68  | 
% 194.58/31.68  | Case 1:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (22)  all_54_9 = e3
% 194.58/31.68  | | 
% 194.58/31.68  | | COMBINE_EQS: (10), (22) imply:
% 194.58/31.68  | |   (23)  all_4_0 = e3
% 194.58/31.68  | | 
% 194.58/31.68  | | REDUCE: (9), (23) imply:
% 194.58/31.68  | |   (24)  $false
% 194.58/31.68  | | 
% 194.58/31.68  | | CLOSE: (24) is inconsistent.
% 194.58/31.68  | | 
% 194.58/31.68  | Case 2:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (25)   ~ (all_54_9 = e3)
% 194.58/31.68  | |   (26)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.58/31.68  | | 
% 194.58/31.68  | | BETA: splitting (26) gives:
% 194.58/31.68  | | 
% 194.58/31.68  | | Case 1:
% 194.58/31.68  | | | 
% 194.58/31.68  | | |   (27)  all_54_9 = e2
% 194.58/31.68  | | | 
% 194.58/31.68  | | | COMBINE_EQS: (10), (27) imply:
% 194.58/31.68  | | |   (28)  all_4_0 = e2
% 194.58/31.68  | | | 
% 194.58/31.68  | | | REDUCE: (17), (28) imply:
% 194.58/31.68  | | |   (29)   ~ (all_52_2 = e2)
% 194.58/31.68  | | | 
% 194.58/31.68  | | | REDUCE: (12), (28) imply:
% 194.58/31.68  | | |   (30)   ~ (all_52_7 = e2)
% 194.58/31.68  | | | 
% 194.58/31.68  | | | REDUCE: (9), (28) imply:
% 194.58/31.68  | | |   (31)   ~ (e3 = e2)
% 194.58/31.68  | | | 
% 194.58/31.68  | | | SIMP: (31) implies:
% 194.58/31.68  | | |   (32)   ~ (e3 = e2)
% 194.58/31.68  | | | 
% 194.58/31.68  | | | REDUCE: (11), (28) imply:
% 194.58/31.68  | | |   (33)   ~ (e2 = e1)
% 194.58/31.68  | | | 
% 194.58/31.68  | | | REDUCE: (20), (28) imply:
% 194.58/31.68  | | |   (34)   ~ (e2 = e0)
% 194.58/31.68  | | | 
% 194.58/31.68  | | | BETA: splitting (4) gives:
% 194.58/31.68  | | | 
% 194.58/31.68  | | | Case 1:
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | |   (35)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 194.58/31.68  | | | |           = e2)
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | | REF_CLOSE: (7), (13), (15), (32), (33), (35) are inconsistent by
% 194.58/31.68  | | | |            sub-proof #975.
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | Case 2:
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | |   (36)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3)
% 194.58/31.68  | | | |           = e2)
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | | BETA: splitting (36) gives:
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | | Case 1:
% 194.58/31.68  | | | | | 
% 194.58/31.68  | | | | |   (37)  all_56_6 = e2 & op(e1, e3) = e2
% 194.58/31.68  | | | | | 
% 194.58/31.68  | | | | | REF_CLOSE: (2), (7), (29), (37) are inconsistent by sub-proof #796.
% 194.58/31.68  | | | | | 
% 194.58/31.68  | | | | Case 2:
% 194.58/31.68  | | | | | 
% 194.58/31.68  | | | | |   (38)  all_56_12 = e2 & op(e0, e3) = e2
% 194.58/31.68  | | | | | 
% 194.58/31.68  | | | | | ALPHA: (38) implies:
% 194.58/31.68  | | | | |   (39)  all_56_12 = e2
% 194.58/31.68  | | | | | 
% 194.58/31.68  | | | | | BETA: splitting (6) gives:
% 194.58/31.68  | | | | | 
% 194.58/31.68  | | | | | Case 1:
% 194.58/31.68  | | | | | | 
% 194.58/31.68  | | | | | |   (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2,
% 194.58/31.68  | | | | | |             e3) = e0)
% 194.58/31.68  | | | | | | 
% 194.58/31.68  | | | | | | REF_CLOSE: (7), (13), (14), (15), (19), (40) are inconsistent by
% 194.58/31.68  | | | | | |            sub-proof #1602.
% 194.58/31.68  | | | | | | 
% 194.58/31.68  | | | | | Case 2:
% 194.58/31.68  | | | | | | 
% 194.58/31.68  | | | | | |   (41)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0,
% 194.58/31.68  | | | | | |             e3) = e0)
% 194.58/31.68  | | | | | | 
% 194.58/31.68  | | | | | | BETA: splitting (41) gives:
% 194.58/31.68  | | | | | | 
% 194.58/31.68  | | | | | | Case 1:
% 194.58/31.68  | | | | | | | 
% 194.58/31.68  | | | | | | |   (42)  all_56_6 = e0 & op(e1, e3) = e0
% 194.58/31.68  | | | | | | | 
% 194.58/31.68  | | | | | | | ALPHA: (42) implies:
% 194.58/31.68  | | | | | | |   (43)  all_56_6 = e0
% 194.58/31.68  | | | | | | | 
% 194.58/31.68  | | | | | | | BETA: splitting (5) gives:
% 194.58/31.68  | | | | | | | 
% 194.58/31.68  | | | | | | | Case 1:
% 194.58/31.68  | | | | | | | | 
% 194.58/31.68  | | | | | | | |   (44)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 &
% 194.58/31.68  | | | | | | | |           op(e2, e2) = e2)
% 194.58/31.68  | | | | | | | | 
% 194.58/31.68  | | | | | | | | REF_CLOSE: (3), (7), (8), (32), (33), (44) are inconsistent by
% 194.58/31.68  | | | | | | | |            sub-proof #131.
% 194.58/31.68  | | | | | | | | 
% 194.58/31.68  | | | | | | | Case 2:
% 194.58/31.68  | | | | | | | | 
% 194.58/31.68  | | | | | | | |   (45)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 194.58/31.68  | | | | | | | |           op(e0, e2) = e2)
% 194.58/31.68  | | | | | | | | 
% 194.58/31.68  | | | | | | | | BETA: splitting (45) gives:
% 194.58/31.68  | | | | | | | | 
% 194.58/31.68  | | | | | | | | Case 1:
% 194.58/31.68  | | | | | | | | | 
% 194.58/31.68  | | | | | | | | |   (46)  all_56_7 = e2 & op(e1, e2) = e2
% 194.58/31.68  | | | | | | | | | 
% 194.58/31.68  | | | | | | | | | ALPHA: (46) implies:
% 194.58/31.68  | | | | | | | | |   (47)  all_56_7 = e2
% 194.58/31.68  | | | | | | | | | 
% 194.58/31.68  | | | | | | | | | COMBINE_EQS: (21), (47) imply:
% 194.58/31.68  | | | | | | | | |   (48)  e2 = e0
% 194.58/31.68  | | | | | | | | | 
% 194.58/31.68  | | | | | | | | | COMBINE_EQS: (39), (48) imply:
% 194.58/31.68  | | | | | | | | |   (49)  all_56_12 = e0
% 194.58/31.68  | | | | | | | | | 
% 194.58/31.68  | | | | | | | | | REF_CLOSE: (4), (7), (13), (15), (32), (33), (34), (43), (49)
% 194.58/31.68  | | | | | | | | |            are inconsistent by sub-proof #1014.
% 194.58/31.68  | | | | | | | | | 
% 194.58/31.68  | | | | | | | | Case 2:
% 194.58/31.68  | | | | | | | | | 
% 194.58/31.68  | | | | | | | | |   (50)  all_56_13 = e2 & op(e0, e2) = e2
% 194.58/31.68  | | | | | | | | | 
% 194.58/31.68  | | | | | | | | | ALPHA: (50) implies:
% 194.58/31.68  | | | | | | | | |   (51)  op(e0, e2) = e2
% 194.58/31.68  | | | | | | | | | 
% 194.58/31.68  | | | | | | | | | REF_CLOSE: (7), (16), (30), (51) are inconsistent by sub-proof
% 194.58/31.68  | | | | | | | | |            #428.
% 194.58/31.68  | | | | | | | | | 
% 194.58/31.68  | | | | | | | | End of split
% 194.58/31.68  | | | | | | | | 
% 194.58/31.68  | | | | | | | End of split
% 194.58/31.68  | | | | | | | 
% 194.58/31.68  | | | | | | Case 2:
% 194.58/31.68  | | | | | | | 
% 194.58/31.68  | | | | | | |   (52)  all_56_12 = e0 & op(e0, e3) = e0
% 194.58/31.68  | | | | | | | 
% 194.58/31.68  | | | | | | | REF_CLOSE: (34), (39), (52) are inconsistent by sub-proof #1592.
% 194.58/31.68  | | | | | | | 
% 194.58/31.68  | | | | | | End of split
% 194.58/31.68  | | | | | | 
% 194.58/31.68  | | | | | End of split
% 194.58/31.68  | | | | | 
% 194.58/31.68  | | | | End of split
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | End of split
% 194.58/31.68  | | | 
% 194.58/31.68  | | Case 2:
% 194.58/31.68  | | | 
% 194.58/31.68  | | |   (53)  all_54_9 = e1 | all_54_9 = e0
% 194.58/31.68  | | | 
% 194.58/31.68  | | | REF_CLOSE: (10), (11), (20), (53) are inconsistent by sub-proof #130.
% 194.58/31.68  | | | 
% 194.58/31.68  | | End of split
% 194.58/31.68  | | 
% 194.58/31.68  | End of split
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #130 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)  all_54_9 = e1 | all_54_9 = e0
% 194.58/31.68    (2)  all_54_9 = all_4_0
% 194.58/31.68    (3)   ~ (all_4_0 = e1)
% 194.58/31.68    (4)   ~ (all_4_0 = e0)
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | BETA: splitting (1) gives:
% 194.58/31.68  | 
% 194.58/31.68  | Case 1:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (5)  all_54_9 = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | COMBINE_EQS: (2), (5) imply:
% 194.58/31.68  | |   (6)  all_4_0 = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | REDUCE: (3), (6) imply:
% 194.58/31.68  | |   (7)  $false
% 194.58/31.68  | | 
% 194.58/31.68  | | CLOSE: (7) is inconsistent.
% 194.58/31.68  | | 
% 194.58/31.68  | Case 2:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (8)  all_54_9 = e0
% 194.58/31.68  | | 
% 194.58/31.68  | | COMBINE_EQS: (2), (8) imply:
% 194.58/31.68  | |   (9)  all_4_0 = e0
% 194.58/31.68  | | 
% 194.58/31.68  | | REDUCE: (4), (9) imply:
% 194.58/31.68  | |   (10)  $false
% 194.58/31.68  | | 
% 194.58/31.68  | | CLOSE: (10) is inconsistent.
% 194.58/31.68  | | 
% 194.58/31.68  | End of split
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #131 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)  all_56_1 = e1
% 194.58/31.68    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 194.58/31.68    (3)   ~ (e3 = e2)
% 194.58/31.68    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (5)  op(e2, e2) = e3
% 194.58/31.68    (6)   ~ (e2 = e1)
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | BETA: splitting (2) gives:
% 194.58/31.68  | 
% 194.58/31.68  | Case 1:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (1), (6), (7) are inconsistent by sub-proof #1503.
% 194.58/31.68  | | 
% 194.58/31.68  | Case 2:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 194.58/31.68  | | 
% 194.58/31.68  | | ALPHA: (8) implies:
% 194.58/31.68  | |   (9)  op(e2, e2) = e2
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #214.
% 194.58/31.68  | | 
% 194.58/31.68  | End of split
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #132 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)  all_56_1 = e1
% 194.58/31.68    (2)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 194.58/31.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (4)  op(e2, e2) = e3
% 194.58/31.68    (5)   ~ (e1 = e0)
% 194.58/31.68    (6)   ~ (e3 = e0)
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | BETA: splitting (2) gives:
% 194.58/31.68  | 
% 194.58/31.68  | Case 1:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (7)  all_56_1 = e0 & op(e3, e2) = e0
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (1), (5), (7) are inconsistent by sub-proof #1534.
% 194.58/31.68  | | 
% 194.58/31.68  | Case 2:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 194.58/31.68  | | 
% 194.58/31.68  | | ALPHA: (8) implies:
% 194.58/31.68  | |   (9)  op(e2, e2) = e0
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (3), (4), (6), (9) are inconsistent by sub-proof #202.
% 194.58/31.68  | | 
% 194.58/31.68  | End of split
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #133 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 194.58/31.68             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.68           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 194.58/31.68           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 194.58/31.68             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 194.58/31.68             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.58/31.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (3)  op(e1, e1) = e3
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | BETA: splitting (1) gives:
% 194.58/31.68  | 
% 194.58/31.68  | Case 1:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (4)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 194.58/31.68  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.68  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 194.58/31.68  | | 
% 194.58/31.68  | | ALPHA: (4) implies:
% 194.58/31.68  | |   (5)   ~ (all_57_14 = e3)
% 194.58/31.68  | |   (6)  op(e1, e1) = all_57_14
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (2), (3), (5), (6) are inconsistent by sub-proof #734.
% 194.58/31.68  | | 
% 194.58/31.68  | Case 2:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (7)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 194.58/31.68  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.58/31.68  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 194.58/31.68  | | 
% 194.58/31.68  | | ALPHA: (7) implies:
% 194.58/31.68  | |   (8)   ~ (all_57_14 = e3)
% 194.58/31.68  | |   (9)  op(e1, e1) = all_57_14
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (2), (3), (8), (9) are inconsistent by sub-proof #734.
% 194.58/31.68  | | 
% 194.58/31.68  | End of split
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #134 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)  all_56_8 = e3 & op(e1, e1) = e3
% 194.58/31.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (3)  op(e1, e1) = all_10_2
% 194.58/31.68    (4)   ~ (all_10_2 = e3)
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | ALPHA: (1) implies:
% 194.58/31.68  |   (5)  op(e1, e1) = e3
% 194.58/31.68  | 
% 194.58/31.68  | GROUND_INST: instantiating (2) with all_10_2, e3, e1, e1, simplifying with
% 194.58/31.68  |              (3), (5) gives:
% 194.58/31.68  |   (6)  all_10_2 = e3
% 194.58/31.68  | 
% 194.58/31.68  | REDUCE: (4), (6) imply:
% 194.58/31.68  |   (7)  $false
% 194.58/31.68  | 
% 194.58/31.68  | CLOSE: (7) is inconsistent.
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #135 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (2)  op(e2, e2) = e3
% 194.58/31.68    (3)  op(e3, e3) = e1
% 194.58/31.68    (4)  op(e0, e0) = all_57_15
% 194.58/31.68    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.58/31.68             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.68           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.58/31.68           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.58/31.68             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.58/31.68           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.68           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.58/31.68           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.58/31.68           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.58/31.68           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.58/31.68           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.58/31.68         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.58/31.68             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.68           $i(all_57_7))
% 194.58/31.68    (6)  op(e3, e1) = all_26_1
% 194.58/31.68    (7)  op(e1, e1) = all_10_2
% 194.58/31.68    (8)  op(e3, e1) = e3
% 194.58/31.68    (9)   ~ (e2 = e1)
% 194.58/31.68    (10)   ~ (all_10_2 = e2)
% 194.58/31.68    (11)  op(e0, e0) = e3
% 194.58/31.68    (12)   ~ (e3 = e1)
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | GROUND_INST: instantiating (1) with e3, all_57_15, e0, e0, simplifying with
% 194.58/31.68  |              (4), (11) gives:
% 194.58/31.68  |   (13)  all_57_15 = e3
% 194.58/31.68  | 
% 194.58/31.68  | GROUND_INST: instantiating (1) with e3, all_26_1, e1, e3, simplifying with
% 194.58/31.68  |              (6), (8) gives:
% 194.58/31.68  |   (14)  all_26_1 = e3
% 194.58/31.68  | 
% 194.58/31.68  | BETA: splitting (5) gives:
% 194.58/31.68  | 
% 194.58/31.68  | Case 1:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (15)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 194.58/31.68  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 194.58/31.68  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.58/31.68  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.58/31.68  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 194.58/31.68  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.58/31.68  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.58/31.68  | |           $i(all_57_3))
% 194.58/31.68  | | 
% 194.58/31.68  | | BETA: splitting (15) gives:
% 194.58/31.68  | | 
% 194.58/31.68  | | Case 1:
% 194.58/31.68  | | | 
% 194.58/31.68  | | |   (16)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.68  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.58/31.68  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 194.58/31.68  | | | 
% 194.58/31.68  | | | ALPHA: (16) implies:
% 194.58/31.68  | | |   (17)   ~ (all_57_15 = e3)
% 194.58/31.68  | | | 
% 194.58/31.68  | | | REF_CLOSE: (1), (4), (11), (17) are inconsistent by sub-proof #1276.
% 194.58/31.68  | | | 
% 194.58/31.68  | | Case 2:
% 194.58/31.68  | | | 
% 194.58/31.68  | | |   (18)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.58/31.68  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.58/31.68  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.58/31.68  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.58/31.68  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.58/31.68  | | | 
% 194.58/31.68  | | | BETA: splitting (18) gives:
% 194.58/31.68  | | | 
% 194.58/31.68  | | | Case 1:
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | |   (19)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.58/31.68  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.58/31.68  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | | ALPHA: (19) implies:
% 194.58/31.68  | | | |   (20)   ~ (all_57_15 = e3)
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | | REF_CLOSE: (1), (4), (11), (20) are inconsistent by sub-proof #1276.
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | Case 2:
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | |   (21)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.58/31.68  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.58/31.68  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | | ALPHA: (21) implies:
% 194.58/31.68  | | | |   (22)  op(e3, e3) = e2
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | | REF_CLOSE: (1), (3), (9), (22) are inconsistent by sub-proof #1934.
% 194.58/31.68  | | | | 
% 194.58/31.68  | | | End of split
% 194.58/31.68  | | | 
% 194.58/31.68  | | End of split
% 194.58/31.68  | | 
% 194.58/31.68  | Case 2:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (23)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.58/31.68  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.58/31.68  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.58/31.68  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.58/31.68  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.58/31.68  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.58/31.68  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.68  | |           $i(all_57_7))
% 194.58/31.68  | | 
% 194.58/31.68  | | BETA: splitting (23) gives:
% 194.58/31.68  | | 
% 194.58/31.68  | | Case 1:
% 194.58/31.68  | | | 
% 194.58/31.68  | | |   (24)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.68  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.58/31.68  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 194.58/31.68  | | | 
% 194.58/31.68  | | | ALPHA: (24) implies:
% 194.58/31.68  | | |   (25)  op(e1, e1) = e2
% 194.58/31.68  | | | 
% 194.58/31.68  | | | REF_CLOSE: (1), (7), (10), (25) are inconsistent by sub-proof #137.
% 194.58/31.68  | | | 
% 194.58/31.68  | | Case 2:
% 194.58/31.68  | | | 
% 194.58/31.68  | | |   (26)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.58/31.68  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.58/31.68  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.58/31.68  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.58/31.68  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.58/31.68  | | | 
% 194.58/31.68  | | | REF_CLOSE: (1), (2), (8), (12), (26) are inconsistent by sub-proof #136.
% 194.58/31.68  | | | 
% 194.58/31.68  | | End of split
% 194.58/31.68  | | 
% 194.58/31.68  | End of split
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #136 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (2)  op(e2, e2) = e3
% 194.58/31.68    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.58/31.68             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.58/31.68           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 194.58/31.68           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.58/31.68             e1) = e0 & $i(all_57_7))
% 194.58/31.68    (4)  op(e3, e1) = e3
% 194.58/31.68    (5)   ~ (e3 = e1)
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | BETA: splitting (3) gives:
% 194.58/31.68  | 
% 194.58/31.68  | Case 1:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (6)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.58/31.68  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.58/31.68  | |        $i(all_57_6)
% 194.58/31.68  | | 
% 194.58/31.68  | | ALPHA: (6) implies:
% 194.58/31.68  | |   (7)   ~ (all_57_6 = e3)
% 194.58/31.68  | |   (8)  op(e3, e1) = all_57_6
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (1), (4), (7), (8) are inconsistent by sub-proof #675.
% 194.58/31.68  | | 
% 194.58/31.68  | Case 2:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.58/31.68  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.68  | |        $i(all_57_7)
% 194.58/31.68  | | 
% 194.58/31.68  | | ALPHA: (9) implies:
% 194.58/31.68  | |   (10)  op(e2, e2) = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1679.
% 194.58/31.68  | | 
% 194.58/31.68  | End of split
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #137 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (2)  op(e1, e1) = all_10_2
% 194.58/31.68    (3)  op(e1, e1) = e2
% 194.58/31.68    (4)   ~ (all_10_2 = e2)
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | GROUND_INST: instantiating (1) with all_10_2, e2, e1, e1, simplifying with
% 194.58/31.68  |              (2), (3) gives:
% 194.58/31.68  |   (5)  all_10_2 = e2
% 194.58/31.68  | 
% 194.58/31.68  | REDUCE: (4), (5) imply:
% 194.58/31.68  |   (6)  $false
% 194.58/31.68  | 
% 194.58/31.68  | CLOSE: (6) is inconsistent.
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #138 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)  op(e3, e3) = e0
% 194.58/31.68    (2)  all_54_0 = all_6_2
% 194.58/31.68    (3)  op(e3, e3) = all_6_2
% 194.58/31.68    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (5)   ~ (all_6_2 = e0)
% 194.58/31.68    (6)  all_54_0 = e1 | all_54_0 = e0
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | BETA: splitting (6) gives:
% 194.58/31.68  | 
% 194.58/31.68  | Case 1:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (7)  all_54_0 = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | COMBINE_EQS: (2), (7) imply:
% 194.58/31.68  | |   (8)  all_6_2 = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | SIMP: (8) implies:
% 194.58/31.68  | |   (9)  all_6_2 = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | REDUCE: (5), (9) imply:
% 194.58/31.68  | |   (10)   ~ (e1 = e0)
% 194.58/31.68  | | 
% 194.58/31.68  | | REDUCE: (3), (9) imply:
% 194.58/31.68  | |   (11)  op(e3, e3) = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (1), (4), (10), (11) are inconsistent by sub-proof #1937.
% 194.58/31.68  | | 
% 194.58/31.68  | Case 2:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (12)  all_54_0 = e0
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (2), (5), (12) are inconsistent by sub-proof #1181.
% 194.58/31.68  | | 
% 194.58/31.68  | End of split
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #139 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)   ~ (e3 = e2)
% 194.58/31.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (3)  op(e2, e2) = e3
% 194.58/31.68    (4)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 194.58/31.68             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.58/31.68           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.58/31.68           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 194.58/31.68           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 194.58/31.68           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.58/31.68    (5)  op(e0, e0) = e3
% 194.58/31.68    (6)   ~ (e3 = e1)
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | BETA: splitting (4) gives:
% 194.58/31.68  | 
% 194.58/31.68  | Case 1:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (7)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 194.58/31.68  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.58/31.68  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 194.58/31.68  | | 
% 194.58/31.68  | | ALPHA: (7) implies:
% 194.58/31.68  | |   (8)  op(e0, e0) = e2
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1692.
% 194.58/31.68  | | 
% 194.58/31.68  | Case 2:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 194.58/31.68  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.58/31.68  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 194.58/31.68  | | 
% 194.58/31.68  | | ALPHA: (9) implies:
% 194.58/31.68  | |   (10)  op(e2, e2) = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1679.
% 194.58/31.68  | | 
% 194.58/31.68  | End of split
% 194.58/31.68  | 
% 194.58/31.68  End of proof
% 194.58/31.68  
% 194.58/31.68  Sub-proof #140 shows that the following formulas are inconsistent:
% 194.58/31.68  ----------------------------------------------------------------
% 194.58/31.68    (1)  all_54_0 = all_6_2
% 194.58/31.68    (2)  op(e3, e3) = all_6_2
% 194.58/31.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.68    (4)   ~ (all_6_2 = e0)
% 194.58/31.68    (5)  op(e3, e3) = e2
% 194.58/31.68    (6)  all_54_0 = e1 | all_54_0 = e0
% 194.58/31.68    (7)   ~ (all_6_2 = e2)
% 194.58/31.68  
% 194.58/31.68  Begin of proof
% 194.58/31.68  | 
% 194.58/31.68  | BETA: splitting (6) gives:
% 194.58/31.68  | 
% 194.58/31.68  | Case 1:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (8)  all_54_0 = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | COMBINE_EQS: (1), (8) imply:
% 194.58/31.68  | |   (9)  all_6_2 = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | SIMP: (9) implies:
% 194.58/31.68  | |   (10)  all_6_2 = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | REDUCE: (7), (10) imply:
% 194.58/31.68  | |   (11)   ~ (e2 = e1)
% 194.58/31.68  | | 
% 194.58/31.68  | | SIMP: (11) implies:
% 194.58/31.68  | |   (12)   ~ (e2 = e1)
% 194.58/31.68  | | 
% 194.58/31.68  | | REDUCE: (2), (10) imply:
% 194.58/31.68  | |   (13)  op(e3, e3) = e1
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (3), (5), (12), (13) are inconsistent by sub-proof #1934.
% 194.58/31.68  | | 
% 194.58/31.68  | Case 2:
% 194.58/31.68  | | 
% 194.58/31.68  | |   (14)  all_54_0 = e0
% 194.58/31.68  | | 
% 194.58/31.68  | | REF_CLOSE: (1), (4), (14) are inconsistent by sub-proof #1181.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #141 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 194.58/31.69             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.69           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 194.58/31.69           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 194.58/31.69             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 194.58/31.69             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.58/31.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (3)  op(e1, e3) = e3
% 194.58/31.69    (4)   ~ (e3 = e1)
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (1) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (5)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 194.58/31.69  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.69  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (5) implies:
% 194.58/31.69  | |   (6)  op(e1, e3) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #142.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (7)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 194.58/31.69  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.58/31.69  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (7) implies:
% 194.58/31.69  | |   (8)  op(e1, e3) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #142.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #142 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (2)  op(e1, e3) = e3
% 194.58/31.69    (3)  op(e1, e3) = e1
% 194.58/31.69    (4)   ~ (e3 = e1)
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | GROUND_INST: instantiating (1) with e3, e1, e3, e1, simplifying with (2), (3)
% 194.58/31.69  |              gives:
% 194.58/31.69  |   (5)  e3 = e1
% 194.58/31.69  | 
% 194.58/31.69  | REDUCE: (4), (5) imply:
% 194.58/31.69  |   (6)  $false
% 194.58/31.69  | 
% 194.58/31.69  | CLOSE: (6) is inconsistent.
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #143 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)  op(e1, e1) = e1
% 194.58/31.69    (2)  op(e1, e2) = all_52_6
% 194.58/31.69    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (4)   ~ (all_52_14 = e3)
% 194.58/31.69    (5)  op(e1, e0) = all_52_14
% 194.58/31.69    (6)  all_56_6 = e0
% 194.58/31.69    (7)   ~ (all_52_6 = e3)
% 194.58/31.69    (8)   ~ (e3 = e1)
% 194.58/31.69    (9)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.58/31.69         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.58/31.69    (10)   ~ (e3 = e0)
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (9) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 194.58/31.69  | |           e3)
% 194.58/31.69  | | 
% 194.58/31.69  | | BETA: splitting (11) gives:
% 194.58/31.69  | | 
% 194.58/31.69  | | Case 1:
% 194.58/31.69  | | | 
% 194.58/31.69  | | |   (12)  all_56_6 = e3 & op(e1, e3) = e3
% 194.58/31.69  | | | 
% 194.58/31.69  | | | REF_CLOSE: (6), (10), (12) are inconsistent by sub-proof #1578.
% 194.58/31.69  | | | 
% 194.58/31.69  | | Case 2:
% 194.58/31.69  | | | 
% 194.58/31.69  | | |   (13)  all_56_7 = e3 & op(e1, e2) = e3
% 194.58/31.69  | | | 
% 194.58/31.69  | | | ALPHA: (13) implies:
% 194.58/31.69  | | |   (14)  op(e1, e2) = e3
% 194.58/31.69  | | | 
% 194.58/31.69  | | | REF_CLOSE: (2), (3), (7), (14) are inconsistent by sub-proof #1408.
% 194.58/31.69  | | | 
% 194.58/31.69  | | End of split
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (15)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 194.58/31.69  | |           e3)
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (1), (3), (4), (5), (8), (15) are inconsistent by sub-proof
% 194.58/31.69  | |            #1055.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #144 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 194.58/31.69             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.58/31.69           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 194.58/31.69           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.58/31.69           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 194.58/31.69           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 194.58/31.69           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 194.58/31.69           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.58/31.69           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.58/31.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (3)  op(e2, e2) = e3
% 194.58/31.69    (4)   ~ (e2 = e1)
% 194.58/31.69    (5)  op(e1, e0) = e1
% 194.58/31.69    (6)  op(e0, e0) = e2
% 194.58/31.69    (7)   ~ (e3 = e0)
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (1) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (8)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 194.58/31.69  | |          e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.58/31.69  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (8) implies:
% 194.58/31.69  | |   (9)  op(e0, e0) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #1780.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (10)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.69  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.69  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.69  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 194.58/31.69  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 194.58/31.69  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.58/31.69  | |           $i(all_57_13))
% 194.58/31.69  | | 
% 194.58/31.69  | | BETA: splitting (10) gives:
% 194.58/31.69  | | 
% 194.58/31.69  | | Case 1:
% 194.58/31.69  | | | 
% 194.58/31.69  | | |   (11)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.69  | | |         (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.69  | | |         op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.69  | | |         $i(all_57_11)
% 194.58/31.69  | | | 
% 194.58/31.69  | | | ALPHA: (11) implies:
% 194.58/31.69  | | |   (12)  op(e2, e2) = e0
% 194.58/31.69  | | | 
% 194.58/31.69  | | | REF_CLOSE: (2), (3), (7), (12) are inconsistent by sub-proof #202.
% 194.58/31.69  | | | 
% 194.58/31.69  | | Case 2:
% 194.58/31.69  | | | 
% 194.58/31.69  | | |   (13)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.69  | | |         (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.69  | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.58/31.69  | | |         $i(all_57_13)
% 194.58/31.69  | | | 
% 194.58/31.69  | | | ALPHA: (13) implies:
% 194.58/31.69  | | |   (14)   ~ (all_57_13 = e1)
% 194.58/31.69  | | |   (15)  op(e1, e0) = all_57_13
% 194.58/31.69  | | | 
% 194.58/31.69  | | | REF_CLOSE: (2), (5), (14), (15) are inconsistent by sub-proof #1437.
% 194.58/31.69  | | | 
% 194.58/31.69  | | End of split
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #145 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 194.58/31.69             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.69           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 194.58/31.69           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 194.58/31.69             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 194.58/31.69             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.58/31.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (3)  op(e1, e3) = e0
% 194.58/31.69    (4)   ~ (e1 = e0)
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (1) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (5)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 194.58/31.69  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.69  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (5) implies:
% 194.58/31.69  | |   (6)  op(e1, e3) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #489.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (7)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 194.58/31.69  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.58/31.69  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (7) implies:
% 194.58/31.69  | |   (8)  op(e1, e3) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #489.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #146 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (2)  op(e3, e2) = all_52_4
% 194.58/31.69    (3)  op(e2, e2) = e3
% 194.58/31.69    (4)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 194.58/31.69    (5)   ~ (all_52_4 = e1)
% 194.58/31.69    (6)   ~ (e3 = e1)
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (4) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (7)  all_56_1 = e1 & op(e3, e2) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (7) implies:
% 194.58/31.69  | |   (8)  op(e3, e2) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1910.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (9) implies:
% 194.58/31.69  | |   (10)  op(e2, e2) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1679.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #147 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.58/31.69         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.58/31.69    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.58/31.69         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.58/31.69    (3)   ~ (e3 = e2)
% 194.58/31.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (5)  op(e2, e2) = e3
% 194.58/31.69    (6)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 194.58/31.69    (7)  op(e3, e3) = e1
% 194.58/31.69    (8)  all_56_12 = e3
% 194.58/31.69    (9)   ~ (e1 = e0)
% 194.58/31.69    (10)   ~ (e2 = e1)
% 194.58/31.69    (11)   ~ (e3 = e1)
% 194.58/31.69    (12)   ~ (e2 = e0)
% 194.58/31.69    (13)   ~ (e3 = e0)
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (6) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (14)  all_56_2 = e1 & op(e2, e3) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (14) implies:
% 194.58/31.69  | |   (15)  all_56_2 = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (12), (13), (15) are
% 194.58/31.69  | |            inconsistent by sub-proof #1845.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (16)  all_56_3 = e1 & op(e2, e2) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (16) implies:
% 194.58/31.69  | |   (17)  op(e2, e2) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (4), (5), (11), (17) are inconsistent by sub-proof #1679.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #148 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)  op(e3, e0) = e3
% 194.58/31.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (3)  op(e3, e3) = e1
% 194.58/31.69    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.58/31.69         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.58/31.69    (5)   ~ (e1 = e0)
% 194.58/31.69    (6)  all_56_4 = e2
% 194.58/31.69    (7)   ~ (e2 = e0)
% 194.58/31.69    (8)   ~ (e3 = e0)
% 194.58/31.69    (9)  all_56_1 = e2
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (4) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 194.58/31.69  | |           e0)
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (2), (3), (5), (7), (9), (10) are inconsistent by sub-proof #149.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 194.58/31.69  | |           e0)
% 194.58/31.69  | | 
% 194.58/31.69  | | BETA: splitting (11) gives:
% 194.58/31.69  | | 
% 194.58/31.69  | | Case 1:
% 194.58/31.69  | | | 
% 194.58/31.69  | | |   (12)  all_56_4 = e0 & op(e3, e1) = e0
% 194.58/31.69  | | | 
% 194.58/31.69  | | | REF_CLOSE: (6), (7), (12) are inconsistent by sub-proof #1876.
% 194.58/31.69  | | | 
% 194.58/31.69  | | Case 2:
% 194.58/31.69  | | | 
% 194.58/31.69  | | |   (13)  all_56_9 = e0 & op(e3, e0) = e0
% 194.58/31.69  | | | 
% 194.58/31.69  | | | ALPHA: (13) implies:
% 194.58/31.69  | | |   (14)  op(e3, e0) = e0
% 194.58/31.69  | | | 
% 194.58/31.69  | | | REF_CLOSE: (1), (2), (8), (14) are inconsistent by sub-proof #1793.
% 194.58/31.69  | | | 
% 194.58/31.69  | | End of split
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #149 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (2)  op(e3, e3) = e1
% 194.58/31.69    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 194.58/31.69    (4)   ~ (e1 = e0)
% 194.58/31.69    (5)   ~ (e2 = e0)
% 194.58/31.69    (6)  all_56_1 = e2
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (3) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (7) implies:
% 194.58/31.69  | |   (8)  op(e3, e3) = e0
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1937.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #1789.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #150 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.58/31.69             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.58/31.69           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.58/31.69               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.58/31.69             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.69         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.58/31.69             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.58/31.69           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.58/31.69               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.58/31.69             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.58/31.69    (2)  op(e3, e0) = e3
% 194.58/31.69    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (4)  op(e3, e3) = e1
% 194.58/31.69    (5)   ~ (e1 = e0)
% 194.58/31.69    (6)   ~ (e3 = e1)
% 194.58/31.69    (7)  op(e1, e1) = e3
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (1) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (8)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 194.58/31.69  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.58/31.69  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.58/31.69  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.58/31.69  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.58/31.69  | |              e1) = all_57_8 & $i(all_57_8)))
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (8) implies:
% 194.58/31.69  | |   (9)  op(e1, e1) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (3), (6), (7), (9) are inconsistent by sub-proof #1978.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (10)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 194.58/31.69  | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.58/31.69  | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.58/31.69  | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.58/31.69  | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.58/31.69  | |               e0) = all_57_13 & $i(all_57_13)))
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (10) implies:
% 194.58/31.69  | |   (11)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 194.58/31.69  | |             e0) = all_57_9 & $i(all_57_9))
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (2), (3), (4), (5), (11) are inconsistent by sub-proof #203.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #151 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)   ~ (e3 = e2)
% 194.58/31.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (3)  op(e2, e2) = e3
% 194.58/31.69    (4)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.58/31.69           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.58/31.69           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.58/31.69                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.58/31.69               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.58/31.69               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.58/31.69           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 194.58/31.69           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.58/31.69               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.69           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.58/31.69               = all_57_5 & $i(all_57_5))))
% 194.58/31.69    (5)   ~ (e3 = e1)
% 194.58/31.69    (6)  op(e1, e1) = e3
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (4) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.58/31.69  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.58/31.69  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.58/31.69  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 194.58/31.69  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.58/31.69  | |            & $i(all_57_8)))
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (7) implies:
% 194.58/31.69  | |   (8)  op(e2, e2) = e1
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1679.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.58/31.69  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.58/31.69  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.58/31.69  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.58/31.69  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 194.58/31.69  | |            & $i(all_57_5)))
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (9) implies:
% 194.58/31.69  | |   (10)  op(e1, e1) = e2
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1777.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #152 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)   ~ (all_52_7 = e0)
% 194.58/31.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (3)  op(e2, e2) = e3
% 194.58/31.69    (4)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.58/31.69             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.69           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 194.58/31.69           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.58/31.69             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.58/31.69           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.69           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.58/31.69    (5)  op(e0, e1) = all_52_11
% 194.58/31.69    (6)   ~ (all_52_11 = e0)
% 194.58/31.69    (7)   ~ (e3 = e1)
% 194.58/31.69    (8)  op(e0, e2) = all_52_7
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (4) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (9)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.58/31.69  | |          e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.69  | |        $i(all_57_4)
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (9) implies:
% 194.58/31.69  | |   (10)  op(e0, e2) = e0
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (1), (2), (8), (10) are inconsistent by sub-proof #818.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (11)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.58/31.69  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.58/31.69  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.58/31.69  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 194.58/31.69  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (2), (3), (5), (6), (7), (11) are inconsistent by sub-proof #196.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #153 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (2)  op(e2, e2) = e3
% 194.58/31.69    (3)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 194.58/31.69             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.58/31.69           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 194.58/31.69           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.58/31.69           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 194.58/31.69           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.58/31.69    (4)  op(e1, e1) = e3
% 194.58/31.69    (5)   ~ (e3 = e0)
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (3) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (6)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 194.58/31.69  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 194.58/31.69  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (6) implies:
% 194.58/31.69  | |   (7)  op(e2, e2) = e0
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #202.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (8)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 194.58/31.69  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 194.58/31.69  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (8) implies:
% 194.58/31.69  | |   (9)  op(e1, e1) = e0
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1824.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #154 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)  all_56_14 = e3 & op(e0, e1) = e3
% 194.58/31.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (3)  op(e0, e1) = all_52_11
% 194.58/31.69    (4)   ~ (all_52_11 = e3)
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | ALPHA: (1) implies:
% 194.58/31.69  |   (5)  op(e0, e1) = e3
% 194.58/31.69  | 
% 194.58/31.69  | GROUND_INST: instantiating (2) with all_52_11, e3, e1, e0, simplifying with
% 194.58/31.69  |              (3), (5) gives:
% 194.58/31.69  |   (6)  all_52_11 = e3
% 194.58/31.69  | 
% 194.58/31.69  | REDUCE: (4), (6) imply:
% 194.58/31.69  |   (7)  $false
% 194.58/31.69  | 
% 194.58/31.69  | CLOSE: (7) is inconsistent.
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #155 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 194.58/31.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (3)  op(e2, e2) = e3
% 194.58/31.69    (4)   ~ (e2 = e0)
% 194.58/31.69    (5)   ~ (e3 = e0)
% 194.58/31.69    (6)  all_56_1 = e2
% 194.58/31.69  
% 194.58/31.69  Begin of proof
% 194.58/31.69  | 
% 194.58/31.69  | BETA: splitting (1) gives:
% 194.58/31.69  | 
% 194.58/31.69  | Case 1:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (7)  all_56_1 = e0 & op(e3, e2) = e0
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (4), (6), (7) are inconsistent by sub-proof #1789.
% 194.58/31.69  | | 
% 194.58/31.69  | Case 2:
% 194.58/31.69  | | 
% 194.58/31.69  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 194.58/31.69  | | 
% 194.58/31.69  | | ALPHA: (8) implies:
% 194.58/31.69  | |   (9)  op(e2, e2) = e0
% 194.58/31.69  | | 
% 194.58/31.69  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #202.
% 194.58/31.69  | | 
% 194.58/31.69  | End of split
% 194.58/31.69  | 
% 194.58/31.69  End of proof
% 194.58/31.69  
% 194.58/31.69  Sub-proof #156 shows that the following formulas are inconsistent:
% 194.58/31.69  ----------------------------------------------------------------
% 194.58/31.69    (1)  op(e3, e0) = e3
% 194.58/31.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.69    (3)  op(e3, e3) = e1
% 194.58/31.69    (4)   ~ (e1 = e0)
% 194.58/31.69    (5)  op(e1, e0) = e1
% 194.58/31.70    (6)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.58/31.70           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.58/31.70           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.58/31.70                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.58/31.70               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.58/31.70               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 194.58/31.70           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 194.58/31.70             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.58/31.70               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.58/31.70           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.58/31.70               = all_57_7 & $i(all_57_7))))
% 194.58/31.70  
% 194.58/31.70  Begin of proof
% 194.58/31.70  | 
% 194.58/31.70  | BETA: splitting (6) gives:
% 194.58/31.70  | 
% 194.58/31.70  | Case 1:
% 194.58/31.70  | | 
% 194.58/31.70  | |   (7)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.58/31.70  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.58/31.70  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.58/31.70  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 194.58/31.70  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.58/31.70  | |            all_57_11 & $i(all_57_11)))
% 194.58/31.70  | | 
% 194.58/31.70  | | ALPHA: (7) implies:
% 194.58/31.70  | |   (8)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 194.58/31.70  | |          = all_57_9 & $i(all_57_9))
% 194.58/31.70  | | 
% 194.58/31.70  | | REF_CLOSE: (1), (2), (3), (4), (8) are inconsistent by sub-proof #203.
% 194.58/31.70  | | 
% 194.58/31.70  | Case 2:
% 194.58/31.70  | | 
% 194.58/31.70  | |   (9)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.58/31.70  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.58/31.70  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.58/31.70  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.58/31.70  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 194.58/31.70  | |            & $i(all_57_7)))
% 194.58/31.70  | | 
% 194.58/31.70  | | ALPHA: (9) implies:
% 194.58/31.70  | |   (10)  op(e1, e0) = e0
% 194.58/31.70  | | 
% 194.58/31.70  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #312.
% 194.58/31.70  | | 
% 194.58/31.70  | End of split
% 194.58/31.70  | 
% 194.58/31.70  End of proof
% 194.58/31.70  
% 194.58/31.70  Sub-proof #157 shows that the following formulas are inconsistent:
% 194.58/31.70  ----------------------------------------------------------------
% 194.58/31.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.70    (2)   ~ (all_52_3 = all_52_7)
% 194.58/31.70    (3)  op(e0, e3) = all_52_3
% 194.58/31.70    (4)  op(e0, e3) = e0
% 194.58/31.70    (5)  op(e0, e2) = e0
% 194.58/31.70    (6)  op(e0, e2) = all_52_7
% 194.58/31.70  
% 194.58/31.70  Begin of proof
% 194.58/31.70  | 
% 194.58/31.70  | GROUND_INST: instantiating (1) with all_52_7, e0, e2, e0, simplifying with
% 194.58/31.70  |              (5), (6) gives:
% 194.58/31.70  |   (7)  all_52_7 = e0
% 194.58/31.70  | 
% 194.58/31.70  | GROUND_INST: instantiating (1) with all_52_3, e0, e3, e0, simplifying with
% 194.58/31.70  |              (3), (4) gives:
% 194.58/31.70  |   (8)  all_52_3 = e0
% 194.58/31.70  | 
% 194.58/31.70  | REDUCE: (2), (7), (8) imply:
% 194.58/31.70  |   (9)  $false
% 194.58/31.70  | 
% 194.58/31.70  | CLOSE: (9) is inconsistent.
% 194.58/31.70  | 
% 194.58/31.70  End of proof
% 194.58/31.70  
% 194.58/31.70  Sub-proof #158 shows that the following formulas are inconsistent:
% 194.58/31.70  ----------------------------------------------------------------
% 194.58/31.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.70    (2)  op(e2, e2) = e3
% 194.58/31.70    (3)  op(e1, e2) = e2
% 194.58/31.70    (4)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.58/31.70           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.58/31.70           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.58/31.70                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.58/31.70               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.58/31.70               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.58/31.70           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 194.58/31.70           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.58/31.70               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.70           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.58/31.70               = all_57_5 & $i(all_57_5))))
% 194.58/31.70    (5)   ~ (e2 = e1)
% 194.58/31.70    (6)   ~ (e3 = e1)
% 194.58/31.70  
% 194.58/31.70  Begin of proof
% 194.58/31.70  | 
% 194.58/31.70  | BETA: splitting (4) gives:
% 194.58/31.70  | 
% 194.58/31.70  | Case 1:
% 194.58/31.70  | | 
% 194.58/31.70  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.58/31.70  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.58/31.70  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.58/31.70  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 194.58/31.70  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.58/31.70  | |            & $i(all_57_8)))
% 194.58/31.70  | | 
% 194.58/31.70  | | ALPHA: (7) implies:
% 194.58/31.70  | |   (8)  op(e2, e2) = e1
% 194.58/31.70  | | 
% 194.58/31.70  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1679.
% 194.58/31.70  | | 
% 194.58/31.70  | Case 2:
% 194.58/31.70  | | 
% 194.58/31.70  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.58/31.70  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.58/31.70  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.58/31.70  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.58/31.70  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 194.58/31.70  | |            & $i(all_57_5)))
% 194.58/31.70  | | 
% 194.58/31.70  | | ALPHA: (9) implies:
% 194.58/31.70  | |   (10)  op(e1, e2) = e1
% 194.58/31.70  | | 
% 194.58/31.70  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #784.
% 194.58/31.70  | | 
% 194.58/31.70  | End of split
% 194.58/31.70  | 
% 194.58/31.70  End of proof
% 194.58/31.70  
% 194.58/31.70  Sub-proof #159 shows that the following formulas are inconsistent:
% 194.58/31.70  ----------------------------------------------------------------
% 194.58/31.70    (1)  all_54_2 = all_52_8
% 194.58/31.70    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.70    (3)  op(e3, e2) = all_52_4
% 194.58/31.70    (4)   ~ (all_52_4 = all_52_8)
% 194.58/31.70    (5)  op(e3, e2) = e2
% 194.58/31.70    (6)   ~ (all_52_8 = e1)
% 194.58/31.70    (7)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 194.58/31.70    (8)   ~ (all_52_8 = e0)
% 194.58/31.70  
% 194.58/31.70  Begin of proof
% 194.58/31.70  | 
% 194.58/31.70  | BETA: splitting (7) gives:
% 194.58/31.70  | 
% 194.58/31.70  | Case 1:
% 194.58/31.70  | | 
% 194.58/31.70  | |   (9)  all_54_2 = e2
% 194.58/31.70  | | 
% 194.58/31.70  | | COMBINE_EQS: (1), (9) imply:
% 194.58/31.70  | |   (10)  all_52_8 = e2
% 194.58/31.70  | | 
% 194.58/31.70  | | SIMP: (10) implies:
% 194.58/31.70  | |   (11)  all_52_8 = e2
% 194.58/31.70  | | 
% 194.58/31.70  | | REDUCE: (4), (11) imply:
% 194.58/31.70  | |   (12)   ~ (all_52_4 = e2)
% 194.58/31.70  | | 
% 194.58/31.70  | | REF_CLOSE: (2), (3), (5), (12) are inconsistent by sub-proof #825.
% 194.58/31.70  | | 
% 194.58/31.70  | Case 2:
% 194.58/31.70  | | 
% 194.58/31.70  | |   (13)  all_54_2 = e1 | all_54_2 = e0
% 194.58/31.70  | | 
% 194.58/31.70  | | REF_CLOSE: (1), (6), (8), (13) are inconsistent by sub-proof #1663.
% 194.58/31.70  | | 
% 194.58/31.70  | End of split
% 194.58/31.70  | 
% 194.58/31.70  End of proof
% 194.58/31.70  
% 194.58/31.70  Sub-proof #160 shows that the following formulas are inconsistent:
% 194.58/31.70  ----------------------------------------------------------------
% 194.58/31.70    (1)   ~ (all_52_4 = e3)
% 194.58/31.70    (2)   ~ (all_52_7 = e0)
% 194.58/31.70    (3)  op(e1, e3) = all_52_2
% 194.58/31.70    (4)   ~ (all_52_13 = e3)
% 194.58/31.70    (5)  op(e1, e2) = all_52_6
% 194.58/31.70    (6)  op(e2, e3) = e0
% 194.58/31.70    (7)  op(e0, e0) = all_14_2
% 194.58/31.70    (8)   ~ (all_14_2 = e1)
% 194.58/31.70    (9)  op(e1, e2) = e1
% 194.58/31.70    (10)   ~ (all_52_2 = e0)
% 194.58/31.70    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.58/31.70          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.58/31.70    (12)   ~ (e3 = e2)
% 194.58/31.70    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.70            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.70    (14)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 194.58/31.70            all_57_9 & $i(all_57_9))
% 194.58/31.70    (15)  op(e3, e2) = all_52_4
% 194.58/31.70    (16)  op(e2, e2) = e3
% 194.58/31.70    (17)  op(e3, e3) = e1
% 194.58/31.70    (18)   ~ (all_52_9 = e3)
% 194.58/31.70    (19)  op(e0, e3) = all_52_3
% 194.58/31.70    (20)  op(e2, e0) = all_52_13
% 194.58/31.70    (21)  all_54_8 = all_52_2
% 194.58/31.70    (22)  op(e1, e3) = e2
% 194.58/31.70    (23)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.58/31.70              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.58/31.70            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.58/31.70            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.58/31.70            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.58/31.70            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.58/31.70            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.58/31.70            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.58/31.70            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.58/31.70            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.58/31.70            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.70            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.58/31.70            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.58/31.70            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.58/31.70            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.58/31.70            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.58/31.70            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.70            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.58/31.70            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.70            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.58/31.70            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.58/31.70            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.70            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.58/31.70            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.58/31.70            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.58/31.70            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.58/31.70            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.58/31.70            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.58/31.70            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.70            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.58/31.70            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.58/31.70            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.58/31.70            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.58/31.70            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.58/31.70            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.70            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.58/31.70            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.70            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.70            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.58/31.70            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.70            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.58/31.70            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.58/31.70            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.58/31.70            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.58/31.70            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.58/31.70            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.58/31.70            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.58/31.70            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.58/31.70              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.58/31.70            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.58/31.70            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.58/31.70              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.58/31.70            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.58/31.70            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.58/31.70                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.58/31.70                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.70                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.58/31.70                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.58/31.70                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.58/31.70                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.58/31.70                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.58/31.70              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.58/31.70                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.58/31.70                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.58/31.70                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.58/31.70                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.58/31.70                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.58/31.70                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.70                $i(all_57_7))))
% 194.58/31.70    (24)  all_56_6 = e2
% 194.58/31.70    (25)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.58/31.70            all_57_11 & $i(all_57_11))
% 194.58/31.70    (26)  op(e0, e1) = all_52_11
% 194.58/31.70    (27)  op(e3, e1) = e3
% 194.58/31.70    (28)  op(e1, e1) = e0
% 194.58/31.70    (29)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.58/31.70          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.58/31.70    (30)   ~ (all_14_2 = e2)
% 194.58/31.70    (31)  all_54_15 = all_14_2
% 194.58/31.70    (32)   ~ (e1 = e0)
% 194.58/31.70    (33)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.58/31.70          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.58/31.70    (34)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.58/31.70    (35)   ~ (all_52_2 = all_52_6)
% 194.58/31.70    (36)   ~ (e2 = e1)
% 194.58/31.70    (37)   ~ (all_52_11 = e0)
% 194.58/31.70    (38)   ~ (all_52_3 = e0)
% 194.58/31.70    (39)   ~ (all_52_2 = e1)
% 194.58/31.70    (40)  all_56_2 = e0
% 194.58/31.70    (41)  op(e2, e1) = all_52_9
% 194.58/31.70    (42)  op(e0, e0) = e0
% 194.58/31.70    (43)   ~ (all_52_1 = all_52_2)
% 194.58/31.70    (44)   ~ (e3 = e1)
% 194.58/31.70    (45)  all_54_15 = e1 | all_54_15 = e0
% 194.58/31.70    (46)  op(e0, e2) = all_52_7
% 194.58/31.70    (47)   ~ (e2 = e0)
% 194.58/31.70    (48)  op(e2, e3) = all_52_1
% 194.58/31.70    (49)   ~ (e3 = e0)
% 194.58/31.70  
% 194.58/31.70  Begin of proof
% 194.58/31.70  | 
% 194.58/31.70  | BETA: splitting (23) gives:
% 194.58/31.70  | 
% 194.58/31.70  | Case 1:
% 194.58/31.70  | | 
% 194.58/31.70  | |   (50)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 194.58/31.70  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.58/31.70  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 194.58/31.70  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 194.58/31.70  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.58/31.70  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 194.58/31.70  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 194.58/31.70  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 194.58/31.70  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 194.58/31.70  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 194.58/31.70  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.58/31.70  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 194.58/31.70  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.58/31.70  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.58/31.70  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.58/31.70  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.58/31.70  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.58/31.70  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 194.58/31.70  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.58/31.70  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 194.58/31.70  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.58/31.70  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.58/31.70  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.58/31.70  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.58/31.70  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.58/31.70  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.58/31.70  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.58/31.70  | | 
% 194.58/31.70  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (13), (15), (17), (18),
% 194.58/31.70  | |            (20), (21), (29), (30), (31), (34), (35), (36), (39), (40), (41),
% 194.58/31.70  | |            (43), (44), (45), (48), (49), (50) are inconsistent by sub-proof
% 194.58/31.70  | |            #167.
% 194.58/31.70  | | 
% 194.58/31.70  | Case 2:
% 194.58/31.70  | | 
% 194.58/31.70  | |   (51)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 194.58/31.70  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.58/31.70  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 194.58/31.70  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 194.58/31.70  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.58/31.70  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 194.58/31.70  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.58/31.70  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.58/31.70  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.58/31.70  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.70  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.70  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.70  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 194.58/31.70  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 194.58/31.70  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.58/31.70  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.58/31.70  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 194.58/31.70  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 194.58/31.70  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.58/31.70  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 194.58/31.70  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 194.58/31.70  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 194.58/31.70  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 194.58/31.70  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.58/31.70  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 194.58/31.70  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.58/31.70  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 194.58/31.70  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.58/31.70  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.70  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 194.58/31.70  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 194.58/31.70  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.58/31.70  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.58/31.70  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.58/31.70  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.70  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 194.58/31.70  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 194.58/31.70  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.70  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.58/31.70  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.58/31.70  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.58/31.70  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.58/31.70  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.70  | |               $i(all_57_7))))
% 194.58/31.70  | | 
% 194.58/31.70  | | BETA: splitting (51) gives:
% 194.58/31.70  | | 
% 194.58/31.70  | | Case 1:
% 194.58/31.70  | | | 
% 194.58/31.70  | | |   (52)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.58/31.70  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.58/31.70  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.70  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 194.58/31.70  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.58/31.70  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.58/31.70  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 194.58/31.70  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.58/31.70  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 194.58/31.70  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 194.58/31.70  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.58/31.70  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.58/31.70  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 194.58/31.70  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.70  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.70  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.58/31.70  | | |           $i(all_57_13))
% 194.58/31.70  | | | 
% 194.58/31.70  | | | REF_CLOSE: (13), (14), (17), (27), (32), (42), (52) are inconsistent by
% 194.58/31.70  | | |            sub-proof #166.
% 194.58/31.70  | | | 
% 194.58/31.70  | | Case 2:
% 194.58/31.70  | | | 
% 194.58/31.70  | | |   (53)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.58/31.70  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.58/31.70  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.58/31.70  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.58/31.70  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 194.58/31.70  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.58/31.70  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 194.58/31.70  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.58/31.70  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 194.58/31.70  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 194.58/31.70  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.58/31.70  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 194.58/31.70  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 194.58/31.70  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.58/31.70  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.58/31.70  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.70  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.58/31.70  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.58/31.70  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 194.58/31.70  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.58/31.70  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.58/31.70  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.58/31.70  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 194.58/31.70  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.70  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.58/31.70  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 194.58/31.70  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.58/31.70  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.70  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.58/31.70  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 194.58/31.70  | | | 
% 194.58/31.70  | | | BETA: splitting (53) gives:
% 194.58/31.70  | | | 
% 194.58/31.70  | | | Case 1:
% 194.58/31.70  | | | | 
% 194.58/31.70  | | | |   (54)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.58/31.70  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.58/31.70  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.58/31.70  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 194.58/31.70  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.58/31.70  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 194.58/31.70  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 194.58/31.70  | | | | 
% 194.58/31.70  | | | | REF_CLOSE: (6), (11), (12), (13), (22), (24), (32), (33), (36), (40),
% 194.58/31.70  | | | |            (44), (49), (54) are inconsistent by sub-proof #188.
% 194.58/31.70  | | | | 
% 194.58/31.70  | | | Case 2:
% 194.58/31.70  | | | | 
% 194.58/31.70  | | | |   (55)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 194.58/31.70  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.58/31.70  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.58/31.70  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 194.58/31.70  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.58/31.70  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 194.58/31.70  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 194.58/31.70  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 194.58/31.70  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.58/31.70  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.70  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.58/31.70  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.58/31.70  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.58/31.70  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.58/31.70  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 194.58/31.70  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.58/31.70  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.70  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 194.58/31.70  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.58/31.70  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 194.58/31.70  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.58/31.70  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.58/31.70  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 194.58/31.70  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.58/31.70  | | | | 
% 194.58/31.70  | | | | BETA: splitting (55) gives:
% 194.58/31.70  | | | | 
% 194.58/31.70  | | | | Case 1:
% 194.58/31.70  | | | | | 
% 194.58/31.70  | | | | |   (56)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 194.58/31.70  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.58/31.70  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.58/31.70  | | | | |         $i(all_57_13)
% 194.58/31.70  | | | | | 
% 194.58/31.70  | | | | | ALPHA: (56) implies:
% 194.58/31.70  | | | | |   (57)  op(e2, e0) = e2
% 194.58/31.70  | | | | | 
% 194.58/31.70  | | | | | REF_CLOSE: (13), (16), (25), (49), (57) are inconsistent by sub-proof
% 194.58/31.70  | | | | |            #165.
% 194.58/31.70  | | | | | 
% 194.58/31.70  | | | | Case 2:
% 194.58/31.70  | | | | | 
% 194.58/31.70  | | | | |   (58)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.58/31.70  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.58/31.70  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.58/31.70  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.70  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.70  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 194.58/31.70  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 194.58/31.70  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.58/31.70  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.58/31.70  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.58/31.70  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 194.58/31.70  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.58/31.70  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 194.58/31.70  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.58/31.70  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.70  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.58/31.70  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 194.58/31.70  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.58/31.70  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.58/31.70  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.58/31.70  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.70  | | | | |               $i(all_57_7))))
% 194.58/31.70  | | | | | 
% 194.58/31.70  | | | | | BETA: splitting (58) gives:
% 194.58/31.70  | | | | | 
% 194.58/31.70  | | | | | Case 1:
% 194.58/31.70  | | | | | | 
% 194.58/31.70  | | | | | |   (59)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.58/31.70  | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.58/31.70  | | | | | |         & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.58/31.70  | | | | | |         $i(all_57_14)
% 194.58/31.70  | | | | | | 
% 194.58/31.70  | | | | | | ALPHA: (59) implies:
% 194.58/31.70  | | | | | |   (60)   ~ (all_57_14 = e0)
% 194.58/31.70  | | | | | |   (61)  op(e1, e1) = all_57_14
% 194.58/31.70  | | | | | | 
% 194.58/31.70  | | | | | | REF_CLOSE: (13), (28), (60), (61) are inconsistent by sub-proof
% 194.58/31.70  | | | | | |            #1636.
% 194.58/31.70  | | | | | | 
% 194.58/31.70  | | | | | Case 2:
% 194.58/31.70  | | | | | | 
% 194.58/31.70  | | | | | |   (62)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.58/31.70  | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.58/31.70  | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 194.58/31.70  | | | | | |               e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.58/31.70  | | | | | |             = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 194.58/31.70  | | | | | |               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.58/31.70  | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.58/31.70  | | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.58/31.70  | | | | | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.58/31.70  | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 194.58/31.70  | | | | | |             (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.58/31.70  | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.70  | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.58/31.70  | | | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 194.58/31.70  | | | | | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.58/31.70  | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.58/31.70  | | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.58/31.70  | | | | | |             & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.70  | | | | | |             $i(all_57_7)))
% 194.58/31.70  | | | | | | 
% 194.58/31.70  | | | | | | ALPHA: (62) implies:
% 194.58/31.71  | | | | | |   (63)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.71  | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 194.58/31.71  | | | | | |           & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 194.58/31.71  | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.58/31.71  | | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 194.58/31.71  | | | | | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.58/31.71  | | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 194.58/31.71  | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.58/31.71  | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.71  | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 194.58/31.71  | | | | | |           & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.58/31.71  | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 194.58/31.71  | | | | | |           & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.58/31.71  | | | | | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.58/31.71  | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 194.58/31.71  | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.58/31.71  | | | | | | 
% 194.58/31.71  | | | | | | BETA: splitting (63) gives:
% 194.58/31.71  | | | | | | 
% 194.58/31.71  | | | | | | Case 1:
% 194.58/31.71  | | | | | | | 
% 194.58/31.71  | | | | | | |   (64)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.71  | | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 194.58/31.71  | | | | | | |           e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 194.58/31.71  | | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.58/31.71  | | | | | | |             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.58/31.71  | | | | | | |             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.58/31.71  | | | | | | |           = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 194.58/31.71  | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.58/31.71  | | | | | | |           $i(all_57_3))
% 194.58/31.71  | | | | | | | 
% 194.58/31.71  | | | | | | | REF_CLOSE: (2), (13), (19), (38), (46), (64) are inconsistent by
% 194.58/31.71  | | | | | | |            sub-proof #199.
% 194.58/31.71  | | | | | | | 
% 194.58/31.71  | | | | | | Case 2:
% 194.58/31.71  | | | | | | | 
% 194.58/31.71  | | | | | | |   (65)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.71  | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.58/31.71  | | | | | | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.58/31.71  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.58/31.71  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.58/31.71  | | | | | | |             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.58/31.71  | | | | | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 194.58/31.71  | | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.71  | | | | | | |           $i(all_57_7))
% 194.58/31.71  | | | | | | | 
% 194.58/31.71  | | | | | | | BETA: splitting (65) gives:
% 194.58/31.71  | | | | | | | 
% 194.58/31.71  | | | | | | | Case 1:
% 194.58/31.71  | | | | | | | | 
% 194.58/31.71  | | | | | | | |   (66)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.71  | | | | | | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.58/31.71  | | | | | | | |         e2 & op(e0, e2) = e0 & $i(all_57_4)
% 194.58/31.71  | | | | | | | | 
% 194.58/31.71  | | | | | | | | ALPHA: (66) implies:
% 194.58/31.71  | | | | | | | |   (67)  op(e0, e2) = e0
% 194.58/31.71  | | | | | | | | 
% 194.58/31.71  | | | | | | | | REF_CLOSE: (2), (13), (46), (67) are inconsistent by sub-proof
% 194.58/31.71  | | | | | | | |            #818.
% 194.58/31.71  | | | | | | | | 
% 194.58/31.71  | | | | | | | Case 2:
% 194.58/31.71  | | | | | | | | 
% 194.58/31.71  | | | | | | | |   (68)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 194.58/31.71  | | | | | | | |           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.58/31.71  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 194.58/31.71  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.71  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.71  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.58/31.71  | | | | | | | | 
% 194.58/31.71  | | | | | | | | REF_CLOSE: (13), (17), (26), (28), (36), (37), (44), (47), (49),
% 194.58/31.71  | | | | | | | |            (63), (68) are inconsistent by sub-proof #164.
% 194.58/31.71  | | | | | | | | 
% 194.58/31.71  | | | | | | | End of split
% 194.58/31.71  | | | | | | | 
% 194.58/31.71  | | | | | | End of split
% 194.58/31.71  | | | | | | 
% 194.58/31.71  | | | | | End of split
% 194.58/31.71  | | | | | 
% 194.58/31.71  | | | | End of split
% 194.58/31.71  | | | | 
% 194.58/31.71  | | | End of split
% 194.58/31.71  | | | 
% 194.58/31.71  | | End of split
% 194.58/31.71  | | 
% 194.58/31.71  | End of split
% 194.58/31.71  | 
% 194.58/31.71  End of proof
% 194.58/31.71  
% 194.58/31.71  Sub-proof #161 shows that the following formulas are inconsistent:
% 194.58/31.71  ----------------------------------------------------------------
% 194.58/31.71    (1)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 194.58/31.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.71    (3)  all_56_14 = e1
% 194.58/31.71    (4)  op(e0, e0) = e0
% 194.58/31.71    (5)   ~ (e3 = e1)
% 194.58/31.71    (6)   ~ (e3 = e0)
% 194.58/31.71  
% 194.58/31.71  Begin of proof
% 194.58/31.71  | 
% 194.58/31.71  | BETA: splitting (1) gives:
% 194.58/31.71  | 
% 194.58/31.71  | Case 1:
% 194.58/31.71  | | 
% 194.58/31.71  | |   (7)  all_56_14 = e3 & op(e0, e1) = e3
% 194.58/31.71  | | 
% 194.58/31.71  | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #1362.
% 194.58/31.71  | | 
% 194.58/31.71  | Case 2:
% 194.58/31.71  | | 
% 194.58/31.71  | |   (8)  all_56_15 = e3 & op(e0, e0) = e3
% 194.58/31.71  | | 
% 194.58/31.71  | | ALPHA: (8) implies:
% 194.58/31.71  | |   (9)  op(e0, e0) = e3
% 194.58/31.71  | | 
% 194.58/31.71  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #1947.
% 194.58/31.71  | | 
% 194.58/31.71  | End of split
% 194.58/31.71  | 
% 194.58/31.71  End of proof
% 194.58/31.71  
% 194.58/31.71  Sub-proof #162 shows that the following formulas are inconsistent:
% 194.58/31.71  ----------------------------------------------------------------
% 194.58/31.71    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.58/31.71         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.58/31.71    (2)  op(e1, e2) = e1
% 194.58/31.71    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.58/31.71         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.58/31.71    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.71    (5)  all_56_12 = e3
% 194.58/31.71    (6)  all_56_6 = e2
% 194.58/31.71    (7)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.58/31.71             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.58/31.71           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.58/31.71               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.58/31.71             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.58/31.71         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.58/31.71             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.71           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.58/31.71               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.58/31.71             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.58/31.71    (8)  op(e1, e1) = e0
% 194.58/31.71    (9)   ~ (e1 = e0)
% 194.58/31.71    (10)   ~ (e2 = e1)
% 194.58/31.71    (11)   ~ (e3 = e1)
% 194.58/31.71    (12)   ~ (e2 = e0)
% 194.58/31.71    (13)   ~ (e3 = e0)
% 194.58/31.71  
% 194.58/31.71  Begin of proof
% 194.58/31.71  | 
% 194.58/31.71  | BETA: splitting (7) gives:
% 194.58/31.71  | 
% 194.58/31.71  | Case 1:
% 194.58/31.71  | | 
% 194.58/31.71  | |   (14)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 194.58/31.71  | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.58/31.71  | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.58/31.71  | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.58/31.71  | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.58/31.71  | |               e3) = all_57_2 & $i(all_57_2)))
% 194.58/31.71  | | 
% 194.58/31.71  | | ALPHA: (14) implies:
% 194.58/31.71  | |   (15)  op(e3, e3) = e3
% 194.58/31.71  | | 
% 194.58/31.71  | | REF_CLOSE: (1), (3), (4), (5), (6), (9), (10), (11), (12), (13), (15) are
% 194.58/31.71  | |            inconsistent by sub-proof #1597.
% 194.58/31.71  | | 
% 194.58/31.71  | Case 2:
% 194.58/31.71  | | 
% 194.58/31.71  | |   (16)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 194.58/31.71  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.58/31.71  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.71  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.58/31.71  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.58/31.71  | |               e2) = all_57_5 & $i(all_57_5)))
% 194.58/31.71  | | 
% 194.58/31.71  | | ALPHA: (16) implies:
% 194.58/31.71  | |   (17)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 194.58/31.71  | |             e2) = all_57_4 & $i(all_57_4))
% 194.58/31.71  | | 
% 194.58/31.71  | | REF_CLOSE: (2), (4), (8), (12), (17) are inconsistent by sub-proof #1513.
% 194.58/31.71  | | 
% 194.58/31.71  | End of split
% 194.58/31.71  | 
% 194.58/31.71  End of proof
% 194.58/31.71  
% 194.58/31.71  Sub-proof #163 shows that the following formulas are inconsistent:
% 194.58/31.71  ----------------------------------------------------------------
% 194.58/31.71    (1)   ~ (all_52_4 = e3)
% 194.58/31.71    (2)  op(e1, e3) = all_52_2
% 194.58/31.71    (3)   ~ (all_52_13 = e3)
% 194.58/31.71    (4)  op(e1, e2) = all_52_6
% 194.58/31.71    (5)  op(e2, e3) = e0
% 194.58/31.71    (6)  op(e0, e0) = all_14_2
% 194.58/31.71    (7)  op(e0, e2) = all_4_0
% 194.58/31.71    (8)   ~ (all_14_2 = e1)
% 194.58/31.71    (9)  op(e1, e2) = e1
% 194.58/31.71    (10)   ~ (all_52_2 = e0)
% 194.58/31.71    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.58/31.71          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.58/31.71    (12)   ~ (e3 = e2)
% 194.58/31.71    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.71            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.71    (14)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 194.58/31.71            all_57_9 & $i(all_57_9))
% 194.58/31.71    (15)  op(e3, e2) = all_52_4
% 194.58/31.71    (16)  op(e2, e2) = e3
% 194.58/31.71    (17)  op(e3, e3) = e1
% 194.58/31.71    (18)   ~ (all_52_9 = e3)
% 194.58/31.71    (19)  op(e0, e3) = all_52_3
% 194.58/31.71    (20)  op(e2, e0) = all_52_13
% 194.58/31.71    (21)  all_54_8 = all_52_2
% 194.58/31.71    (22)  op(e0, e2) = all_40_0
% 194.58/31.71    (23)  op(e1, e3) = e2
% 194.58/31.71    (24)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.58/31.71              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.58/31.71            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.58/31.71            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.58/31.71            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.58/31.71            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.58/31.71            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.58/31.71            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.58/31.71            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.58/31.71            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.58/31.71            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.71            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.58/31.71            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.58/31.71            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.58/31.71            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.58/31.71            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.58/31.71            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.71            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.58/31.71            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.71            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.58/31.71            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.58/31.71            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.71            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.58/31.71            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.58/31.71            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.58/31.71            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.58/31.71            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.58/31.71            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.58/31.71            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.71            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.58/31.71            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.58/31.71            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.58/31.71            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.58/31.71            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.58/31.71            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.71            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.58/31.71            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.71            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.71            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.58/31.71            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.71            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.58/31.71            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.58/31.71            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.58/31.71            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.58/31.71            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.58/31.71            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.58/31.71            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.58/31.71            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.58/31.71              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.58/31.71            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.58/31.71            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.58/31.71              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.58/31.71            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.58/31.71            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.58/31.71                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.58/31.71                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.71                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.58/31.71                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.58/31.71                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.58/31.71                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.58/31.71                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.58/31.71              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.58/31.71                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.58/31.71                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.58/31.71                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.58/31.71                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.58/31.71                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.58/31.71                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.71                $i(all_57_7))))
% 194.58/31.71    (25)  all_56_6 = e2
% 194.58/31.71    (26)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.58/31.71            all_57_11 & $i(all_57_11))
% 194.58/31.71    (27)  op(e0, e1) = all_52_11
% 194.58/31.71    (28)  op(e3, e1) = e3
% 194.58/31.71    (29)  op(e1, e1) = e0
% 194.58/31.71    (30)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.58/31.71          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.58/31.71    (31)   ~ (all_14_2 = e2)
% 194.58/31.71    (32)  all_54_15 = all_14_2
% 194.58/31.71    (33)   ~ (e1 = e0)
% 194.58/31.71    (34)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.58/31.71          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.58/31.71    (35)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.58/31.71    (36)   ~ (all_52_2 = all_52_6)
% 194.58/31.71    (37)   ~ (e2 = e1)
% 194.58/31.71    (38)   ~ (all_52_11 = e0)
% 194.58/31.71    (39)   ~ (all_52_3 = e0)
% 194.58/31.71    (40)   ~ (all_52_2 = e1)
% 194.58/31.71    (41)  all_56_2 = e0
% 194.58/31.71    (42)  op(e2, e1) = all_52_9
% 194.58/31.71    (43)  op(e0, e0) = e0
% 194.58/31.71    (44)   ~ (all_52_1 = all_52_2)
% 194.58/31.71    (45)   ~ (e3 = e1)
% 194.58/31.71    (46)  all_54_15 = e1 | all_54_15 = e0
% 194.58/31.71    (47)   ~ (e2 = e0)
% 194.58/31.71    (48)  op(e2, e3) = all_52_1
% 194.58/31.71    (49)   ~ (e3 = e0)
% 194.58/31.71    (50)   ~ (all_4_0 = e0)
% 194.58/31.71  
% 194.58/31.71  Begin of proof
% 194.58/31.71  | 
% 194.58/31.71  | BETA: splitting (24) gives:
% 194.58/31.71  | 
% 194.58/31.71  | Case 1:
% 194.58/31.71  | | 
% 194.58/31.71  | |   (51)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 194.58/31.71  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.58/31.71  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 194.58/31.71  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 194.58/31.71  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.58/31.71  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 194.58/31.71  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 194.58/31.71  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 194.58/31.71  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 194.58/31.71  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 194.58/31.71  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.58/31.71  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 194.58/31.71  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.58/31.71  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.58/31.71  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.58/31.71  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.58/31.71  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.58/31.71  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 194.58/31.71  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.58/31.71  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 194.58/31.71  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.58/31.71  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.58/31.71  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.58/31.71  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.58/31.71  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.58/31.71  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.58/31.71  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.58/31.71  | | 
% 194.58/31.71  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (13), (15), (17), (18),
% 194.58/31.71  | |            (20), (21), (30), (31), (32), (35), (36), (37), (40), (41), (42),
% 194.58/31.71  | |            (44), (45), (46), (48), (49), (51) are inconsistent by sub-proof
% 194.58/31.71  | |            #167.
% 194.58/31.71  | | 
% 194.58/31.71  | Case 2:
% 194.58/31.71  | | 
% 194.58/31.71  | |   (52)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 194.58/31.71  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.58/31.71  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 194.58/31.71  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 194.58/31.71  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.58/31.71  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 194.58/31.71  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.58/31.71  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.58/31.71  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.58/31.71  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.71  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.71  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.71  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 194.58/31.71  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 194.58/31.71  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.58/31.71  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.58/31.71  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 194.58/31.71  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 194.58/31.71  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.58/31.71  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 194.58/31.71  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 194.58/31.71  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 194.58/31.71  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 194.58/31.71  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.58/31.71  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 194.58/31.71  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.58/31.71  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 194.58/31.71  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.58/31.71  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.71  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 194.58/31.71  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 194.58/31.71  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.58/31.71  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.58/31.71  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.58/31.71  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.71  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 194.58/31.71  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 194.58/31.71  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.71  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.58/31.71  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.58/31.71  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.58/31.71  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.58/31.71  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.71  | |               $i(all_57_7))))
% 194.58/31.71  | | 
% 194.58/31.71  | | BETA: splitting (52) gives:
% 194.58/31.71  | | 
% 194.58/31.71  | | Case 1:
% 194.58/31.71  | | | 
% 194.58/31.71  | | |   (53)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.58/31.71  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.58/31.71  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.71  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 194.58/31.71  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.58/31.71  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.58/31.71  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 194.58/31.71  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.58/31.71  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 194.58/31.71  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 194.58/31.71  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.58/31.71  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.58/31.71  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 194.58/31.71  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.71  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.71  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.58/31.71  | | |           $i(all_57_13))
% 194.58/31.71  | | | 
% 194.58/31.71  | | | REF_CLOSE: (13), (14), (17), (28), (33), (43), (53) are inconsistent by
% 194.58/31.71  | | |            sub-proof #166.
% 194.58/31.71  | | | 
% 194.58/31.71  | | Case 2:
% 194.58/31.71  | | | 
% 194.58/31.71  | | |   (54)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.58/31.71  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.58/31.71  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.58/31.71  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.58/31.71  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 194.58/31.71  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.58/31.71  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 194.58/31.71  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.58/31.71  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 194.58/31.71  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 194.58/31.71  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.58/31.71  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 194.58/31.71  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 194.58/31.71  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.58/31.71  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.58/31.71  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.71  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.58/31.71  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.58/31.71  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 194.58/31.71  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.58/31.71  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.58/31.71  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.58/31.71  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 194.58/31.71  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.71  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.58/31.71  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 194.58/31.71  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.58/31.71  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.71  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.58/31.71  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 194.58/31.71  | | | 
% 194.58/31.71  | | | BETA: splitting (54) gives:
% 194.58/31.71  | | | 
% 194.58/31.71  | | | Case 1:
% 194.58/31.71  | | | | 
% 194.58/31.71  | | | |   (55)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.58/31.71  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.58/31.71  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.58/31.71  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 194.58/31.71  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.58/31.71  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 194.58/31.71  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 194.58/31.71  | | | | 
% 194.58/31.71  | | | | REF_CLOSE: (5), (11), (12), (13), (23), (25), (33), (34), (37), (41),
% 194.58/31.71  | | | |            (45), (49), (55) are inconsistent by sub-proof #188.
% 194.58/31.71  | | | | 
% 194.58/31.71  | | | Case 2:
% 194.58/31.71  | | | | 
% 194.58/31.71  | | | |   (56)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 194.58/31.71  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.58/31.71  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.58/31.71  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 194.58/31.71  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.58/31.71  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 194.58/31.71  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 194.58/31.71  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 194.58/31.71  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.58/31.71  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.71  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.58/31.71  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.58/31.71  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.58/31.71  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.58/31.71  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 194.58/31.71  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.58/31.71  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.71  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 194.58/31.71  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.58/31.71  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 194.58/31.71  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.58/31.71  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.58/31.71  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 194.58/31.71  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.58/31.71  | | | | 
% 194.58/31.71  | | | | BETA: splitting (56) gives:
% 194.58/31.71  | | | | 
% 194.58/31.71  | | | | Case 1:
% 194.58/31.71  | | | | | 
% 194.58/31.71  | | | | |   (57)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 194.58/31.71  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.58/31.71  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.58/31.71  | | | | |         $i(all_57_13)
% 194.58/31.71  | | | | | 
% 194.58/31.71  | | | | | ALPHA: (57) implies:
% 194.58/31.71  | | | | |   (58)  op(e2, e0) = e2
% 194.58/31.71  | | | | | 
% 194.58/31.71  | | | | | REF_CLOSE: (13), (16), (26), (49), (58) are inconsistent by sub-proof
% 194.58/31.71  | | | | |            #165.
% 194.58/31.71  | | | | | 
% 194.58/31.71  | | | | Case 2:
% 194.58/31.71  | | | | | 
% 194.58/31.71  | | | | |   (59)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.58/31.71  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.58/31.71  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.58/31.71  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.71  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.71  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 194.58/31.71  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 194.58/31.71  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.58/31.71  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.58/31.71  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.58/31.71  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 194.58/31.71  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.58/31.71  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 194.58/31.71  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.58/31.71  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.71  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.58/31.71  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 194.58/31.71  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.58/31.71  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.58/31.71  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.58/31.71  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.71  | | | | |               $i(all_57_7))))
% 194.58/31.71  | | | | | 
% 194.58/31.71  | | | | | BETA: splitting (59) gives:
% 194.58/31.71  | | | | | 
% 194.58/31.71  | | | | | Case 1:
% 194.58/31.71  | | | | | | 
% 194.58/31.71  | | | | | |   (60)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.58/31.71  | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.58/31.71  | | | | | |         & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.58/31.71  | | | | | |         $i(all_57_14)
% 194.58/31.71  | | | | | | 
% 194.58/31.71  | | | | | | ALPHA: (60) implies:
% 194.58/31.71  | | | | | |   (61)   ~ (all_57_14 = e0)
% 194.58/31.71  | | | | | |   (62)  op(e1, e1) = all_57_14
% 194.58/31.71  | | | | | | 
% 194.58/31.71  | | | | | | REF_CLOSE: (13), (29), (61), (62) are inconsistent by sub-proof
% 194.58/31.71  | | | | | |            #1636.
% 194.58/31.71  | | | | | | 
% 194.58/31.71  | | | | | Case 2:
% 194.58/31.71  | | | | | | 
% 194.58/31.71  | | | | | |   (63)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.58/31.71  | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.58/31.71  | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 194.58/31.71  | | | | | |               e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.58/31.71  | | | | | |             = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 194.58/31.71  | | | | | |               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.58/31.71  | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.58/31.71  | | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.58/31.71  | | | | | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.58/31.71  | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 194.58/31.71  | | | | | |             (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.58/31.71  | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.71  | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.58/31.71  | | | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 194.58/31.71  | | | | | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.58/31.71  | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.58/31.71  | | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.58/31.71  | | | | | |             & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.71  | | | | | |             $i(all_57_7)))
% 194.58/31.71  | | | | | | 
% 194.58/31.71  | | | | | | ALPHA: (63) implies:
% 194.58/31.72  | | | | | |   (64)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.72  | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 194.58/31.72  | | | | | |           & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 194.58/31.72  | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.58/31.72  | | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 194.58/31.72  | | | | | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.58/31.72  | | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 194.58/31.72  | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.58/31.72  | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.72  | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 194.58/31.72  | | | | | |           & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.58/31.72  | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 194.58/31.72  | | | | | |           & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.58/31.72  | | | | | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.58/31.72  | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 194.58/31.72  | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.58/31.72  | | | | | | 
% 194.58/31.72  | | | | | | BETA: splitting (64) gives:
% 194.58/31.72  | | | | | | 
% 194.58/31.72  | | | | | | Case 1:
% 194.58/31.72  | | | | | | | 
% 194.58/31.72  | | | | | | |   (65)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.72  | | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 194.58/31.72  | | | | | | |           e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 194.58/31.72  | | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.58/31.72  | | | | | | |             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.58/31.72  | | | | | | |             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.58/31.72  | | | | | | |           = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 194.58/31.72  | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.58/31.72  | | | | | | |           $i(all_57_3))
% 194.58/31.72  | | | | | | | 
% 194.58/31.72  | | | | | | | BETA: splitting (65) gives:
% 194.58/31.72  | | | | | | | 
% 194.58/31.72  | | | | | | | Case 1:
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | |   (66)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.72  | | | | | | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 194.58/31.72  | | | | | | | |         e3 & op(e0, e3) = e0 & $i(all_57_0)
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | | ALPHA: (66) implies:
% 194.58/31.72  | | | | | | | |   (67)  op(e0, e3) = e0
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | | REF_CLOSE: (13), (19), (39), (67) are inconsistent by sub-proof
% 194.58/31.72  | | | | | | | |            #1935.
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | Case 2:
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | |   (68)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.58/31.72  | | | | | | | |           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 194.58/31.72  | | | | | | | |             e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.58/31.72  | | | | | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 194.58/31.72  | | | | | | | |           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.72  | | | | | | | |           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | | BETA: splitting (68) gives:
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | | Case 1:
% 194.58/31.72  | | | | | | | | | 
% 194.58/31.72  | | | | | | | | |   (69)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.58/31.72  | | | | | | | | |         ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 194.58/31.72  | | | | | | | | |           e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)
% 194.58/31.72  | | | | | | | | | 
% 194.58/31.72  | | | | | | | | | ALPHA: (69) implies:
% 194.58/31.72  | | | | | | | | |   (70)  op(e0, e3) = e0
% 194.58/31.72  | | | | | | | | | 
% 194.58/31.72  | | | | | | | | | REF_CLOSE: (13), (19), (39), (70) are inconsistent by
% 194.58/31.72  | | | | | | | | |            sub-proof #1935.
% 194.58/31.72  | | | | | | | | | 
% 194.58/31.72  | | | | | | | | Case 2:
% 194.58/31.72  | | | | | | | | | 
% 194.58/31.72  | | | | | | | | |   (71)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 194.58/31.72  | | | | | | | | |         ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.72  | | | | | | | | |         all_57_3 & op(e0, e2) = e0 & $i(all_57_3)
% 194.58/31.72  | | | | | | | | | 
% 194.58/31.72  | | | | | | | | | ALPHA: (71) implies:
% 194.58/31.72  | | | | | | | | |   (72)  op(e0, e2) = e0
% 194.58/31.72  | | | | | | | | | 
% 194.58/31.72  | | | | | | | | | REF_CLOSE: (7), (13), (22), (50), (72) are inconsistent by
% 194.58/31.72  | | | | | | | | |            sub-proof #186.
% 194.58/31.72  | | | | | | | | | 
% 194.58/31.72  | | | | | | | | End of split
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | End of split
% 194.58/31.72  | | | | | | | 
% 194.58/31.72  | | | | | | Case 2:
% 194.58/31.72  | | | | | | | 
% 194.58/31.72  | | | | | | |   (73)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.72  | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.58/31.72  | | | | | | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.58/31.72  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.58/31.72  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.58/31.72  | | | | | | |             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.58/31.72  | | | | | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 194.58/31.72  | | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.72  | | | | | | |           $i(all_57_7))
% 194.58/31.72  | | | | | | | 
% 194.58/31.72  | | | | | | | BETA: splitting (73) gives:
% 194.58/31.72  | | | | | | | 
% 194.58/31.72  | | | | | | | Case 1:
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | |   (74)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.72  | | | | | | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.58/31.72  | | | | | | | |         e2 & op(e0, e2) = e0 & $i(all_57_4)
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | | ALPHA: (74) implies:
% 194.58/31.72  | | | | | | | |   (75)  op(e0, e2) = e0
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | | REF_CLOSE: (7), (13), (22), (50), (75) are inconsistent by
% 194.58/31.72  | | | | | | | |            sub-proof #186.
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | Case 2:
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | |   (76)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 194.58/31.72  | | | | | | | |           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.58/31.72  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 194.58/31.72  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.72  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.72  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | | REF_CLOSE: (13), (17), (27), (29), (37), (38), (45), (47), (49),
% 194.58/31.72  | | | | | | | |            (64), (76) are inconsistent by sub-proof #164.
% 194.58/31.72  | | | | | | | | 
% 194.58/31.72  | | | | | | | End of split
% 194.58/31.72  | | | | | | | 
% 194.58/31.72  | | | | | | End of split
% 194.58/31.72  | | | | | | 
% 194.58/31.72  | | | | | End of split
% 194.58/31.72  | | | | | 
% 194.58/31.72  | | | | End of split
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | End of split
% 194.58/31.72  | | | 
% 194.58/31.72  | | End of split
% 194.58/31.72  | | 
% 194.58/31.72  | End of split
% 194.58/31.72  | 
% 194.58/31.72  End of proof
% 194.58/31.72  
% 194.58/31.72  Sub-proof #164 shows that the following formulas are inconsistent:
% 194.58/31.72  ----------------------------------------------------------------
% 194.58/31.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.72    (2)  op(e3, e3) = e1
% 194.58/31.72    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.58/31.72             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.58/31.72           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 194.58/31.72           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.58/31.72             e1) = e0 & $i(all_57_7))
% 194.58/31.72    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.58/31.72             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.72           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.58/31.72           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.58/31.72             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.58/31.72           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.72           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.58/31.72           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.58/31.72           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.58/31.72           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.58/31.72           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.58/31.72         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.58/31.72             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.72           $i(all_57_7))
% 194.58/31.72    (5)  op(e0, e1) = all_52_11
% 194.58/31.72    (6)  op(e1, e1) = e0
% 194.58/31.72    (7)   ~ (e2 = e1)
% 194.58/31.72    (8)   ~ (all_52_11 = e0)
% 194.58/31.72    (9)   ~ (e3 = e1)
% 194.58/31.72    (10)   ~ (e2 = e0)
% 194.58/31.72    (11)   ~ (e3 = e0)
% 194.58/31.72  
% 194.58/31.72  Begin of proof
% 194.58/31.72  | 
% 194.58/31.72  | BETA: splitting (3) gives:
% 194.58/31.72  | 
% 194.58/31.72  | Case 1:
% 194.58/31.72  | | 
% 194.58/31.72  | |   (12)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.58/31.72  | |           = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.58/31.72  | |         & $i(all_57_6)
% 194.58/31.72  | | 
% 194.58/31.72  | | ALPHA: (12) implies:
% 194.58/31.72  | |   (13)  op(e0, e1) = e0
% 194.58/31.72  | | 
% 194.58/31.72  | | REF_CLOSE: (1), (5), (8), (13) are inconsistent by sub-proof #1931.
% 194.58/31.72  | | 
% 194.58/31.72  | Case 2:
% 194.58/31.72  | | 
% 194.58/31.72  | |   (14)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 194.58/31.72  | |           = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.58/31.72  | |         & $i(all_57_7)
% 194.58/31.72  | | 
% 194.58/31.72  | | ALPHA: (14) implies:
% 194.58/31.72  | |   (15)  op(e2, e2) = e1
% 194.58/31.72  | | 
% 194.58/31.72  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (15) are
% 194.58/31.72  | |            inconsistent by sub-proof #1316.
% 194.58/31.72  | | 
% 194.58/31.72  | End of split
% 194.58/31.72  | 
% 194.58/31.72  End of proof
% 194.58/31.72  
% 194.58/31.72  Sub-proof #165 shows that the following formulas are inconsistent:
% 194.58/31.72  ----------------------------------------------------------------
% 194.58/31.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.72    (2)  op(e2, e2) = e3
% 194.58/31.72    (3)  op(e2, e0) = e2
% 194.58/31.72    (4)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.58/31.72           all_57_11 & $i(all_57_11))
% 194.58/31.72    (5)   ~ (e3 = e0)
% 194.58/31.72  
% 194.58/31.72  Begin of proof
% 194.58/31.72  | 
% 194.58/31.72  | BETA: splitting (4) gives:
% 194.58/31.72  | 
% 194.58/31.72  | Case 1:
% 194.58/31.72  | | 
% 194.58/31.72  | |   (6)  all_57_12 = e0 & op(e2, e2) = e0
% 194.58/31.72  | | 
% 194.58/31.72  | | ALPHA: (6) implies:
% 194.58/31.72  | |   (7)  op(e2, e2) = e0
% 194.58/31.72  | | 
% 194.58/31.72  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #202.
% 194.58/31.72  | | 
% 194.58/31.72  | Case 2:
% 194.58/31.72  | | 
% 194.58/31.72  | |   (8)   ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)
% 194.58/31.72  | | 
% 194.58/31.72  | | ALPHA: (8) implies:
% 194.58/31.72  | |   (9)   ~ (all_57_11 = e2)
% 194.58/31.72  | |   (10)  op(e2, e0) = all_57_11
% 194.58/31.72  | | 
% 194.58/31.72  | | REF_CLOSE: (1), (3), (9), (10) are inconsistent by sub-proof #433.
% 194.58/31.72  | | 
% 194.58/31.72  | End of split
% 194.58/31.72  | 
% 194.58/31.72  End of proof
% 194.58/31.72  
% 194.58/31.72  Sub-proof #166 shows that the following formulas are inconsistent:
% 194.58/31.72  ----------------------------------------------------------------
% 194.58/31.72    (1)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.58/31.72             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.58/31.72           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 194.58/31.72           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.58/31.72           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.58/31.72           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.58/31.72           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 194.58/31.72           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 194.58/31.72           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 194.58/31.72           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 194.58/31.72           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.58/31.72           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 194.58/31.72           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.58/31.72           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.58/31.72           $i(all_57_10) & $i(all_57_13))
% 194.58/31.72    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.72    (3)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 194.58/31.72           all_57_9 & $i(all_57_9))
% 194.58/31.72    (4)  op(e3, e3) = e1
% 194.58/31.72    (5)  op(e3, e1) = e3
% 194.58/31.72    (6)   ~ (e1 = e0)
% 194.58/31.72    (7)  op(e0, e0) = e0
% 194.58/31.72  
% 194.58/31.72  Begin of proof
% 194.58/31.72  | 
% 194.58/31.72  | BETA: splitting (1) gives:
% 194.58/31.72  | 
% 194.58/31.72  | Case 1:
% 194.58/31.72  | | 
% 194.58/31.72  | |   (8)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 194.58/31.72  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.58/31.72  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 194.58/31.72  | |        (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 194.58/31.72  | |            = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.58/31.72  | |          all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 194.58/31.72  | | 
% 194.58/31.72  | | REF_CLOSE: (2), (5), (6), (7), (8) are inconsistent by sub-proof #521.
% 194.58/31.72  | | 
% 194.58/31.72  | Case 2:
% 194.58/31.72  | | 
% 194.58/31.72  | |   (9)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.58/31.72  | |            = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.58/31.72  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.58/31.72  | |        (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 194.58/31.72  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 194.58/31.72  | |          e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 194.58/31.72  | |        (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 194.58/31.72  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 194.58/31.72  | |          e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.58/31.72  | | 
% 194.58/31.72  | | BETA: splitting (9) gives:
% 194.58/31.72  | | 
% 194.58/31.72  | | Case 1:
% 194.58/31.72  | | | 
% 194.58/31.72  | | |   (10)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.58/31.72  | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.58/31.72  | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.72  | | |         $i(all_57_12)
% 194.58/31.72  | | | 
% 194.58/31.72  | | | ALPHA: (10) implies:
% 194.58/31.72  | | |   (11)  op(e0, e0) = e1
% 194.58/31.72  | | | 
% 194.58/31.72  | | | REF_CLOSE: (2), (6), (7), (11) are inconsistent by sub-proof #1943.
% 194.58/31.72  | | | 
% 194.58/31.72  | | Case 2:
% 194.58/31.72  | | | 
% 194.58/31.72  | | |   (12)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.72  | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.72  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.72  | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10
% 194.58/31.72  | | |             = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 194.58/31.72  | | |             e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.58/31.72  | | |           $i(all_57_10) & $i(all_57_13))
% 194.58/31.72  | | | 
% 194.58/31.72  | | | BETA: splitting (12) gives:
% 194.58/31.72  | | | 
% 194.58/31.72  | | | Case 1:
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | |   (13)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.72  | | | |         (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.72  | | | |         op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.72  | | | |         $i(all_57_11)
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | ALPHA: (13) implies:
% 194.58/31.72  | | | |   (14)  op(e3, e0) = e3
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | REF_CLOSE: (2), (3), (4), (6), (14) are inconsistent by sub-proof #203.
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | Case 2:
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | |   (15)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.72  | | | |         (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.72  | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.58/31.72  | | | |         $i(all_57_13)
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | ALPHA: (15) implies:
% 194.58/31.72  | | | |   (16)  op(e3, e0) = e3
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | REF_CLOSE: (2), (3), (4), (6), (16) are inconsistent by sub-proof #203.
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | End of split
% 194.58/31.72  | | | 
% 194.58/31.72  | | End of split
% 194.58/31.72  | | 
% 194.58/31.72  | End of split
% 194.58/31.72  | 
% 194.58/31.72  End of proof
% 194.58/31.72  
% 194.58/31.72  Sub-proof #167 shows that the following formulas are inconsistent:
% 194.58/31.72  ----------------------------------------------------------------
% 194.58/31.72    (1)   ~ (all_52_4 = e3)
% 194.58/31.72    (2)  op(e1, e3) = all_52_2
% 194.58/31.72    (3)   ~ (all_52_13 = e3)
% 194.58/31.72    (4)  op(e1, e2) = all_52_6
% 194.58/31.72    (5)  op(e0, e0) = all_14_2
% 194.58/31.72    (6)   ~ (all_14_2 = e1)
% 194.58/31.72    (7)  op(e1, e2) = e1
% 194.58/31.72    (8)   ~ (all_52_2 = e0)
% 194.58/31.72    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.72    (10)  op(e3, e2) = all_52_4
% 194.58/31.72    (11)  op(e3, e3) = e1
% 194.58/31.72    (12)   ~ (all_52_9 = e3)
% 194.58/31.72    (13)  op(e2, e0) = all_52_13
% 194.58/31.72    (14)  all_54_8 = all_52_2
% 194.58/31.72    (15)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.58/31.72          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.58/31.72    (16)   ~ (all_14_2 = e2)
% 194.58/31.72    (17)  all_54_15 = all_14_2
% 194.58/31.72    (18)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.58/31.72    (19)   ~ (all_52_2 = all_52_6)
% 194.58/31.72    (20)   ~ (e2 = e1)
% 194.58/31.72    (21)   ~ (all_52_2 = e1)
% 194.58/31.72    (22)  all_56_2 = e0
% 194.58/31.72    (23)  op(e2, e1) = all_52_9
% 194.58/31.72    (24)   ~ (all_52_1 = all_52_2)
% 194.58/31.72    (25)   ~ (e3 = e1)
% 194.58/31.72    (26)  all_54_15 = e1 | all_54_15 = e0
% 194.58/31.72    (27)  op(e2, e3) = all_52_1
% 194.58/31.72    (28)   ~ (e3 = e0)
% 194.58/31.72    (29)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.58/31.72              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.58/31.72            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.58/31.72            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.58/31.72            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.58/31.72            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.58/31.72            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.58/31.72            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.58/31.72            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.58/31.72            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.58/31.72            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.72            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.58/31.72            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.58/31.72            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.58/31.72            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.58/31.72            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.58/31.72            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.72            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.58/31.72            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.72            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.58/31.72            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.58/31.72            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.72            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.58/31.72            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.58/31.72            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.58/31.72            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.58/31.72            $i(all_57_10))
% 194.58/31.72  
% 194.58/31.72  Begin of proof
% 194.58/31.72  | 
% 194.58/31.72  | BETA: splitting (29) gives:
% 194.58/31.72  | 
% 194.58/31.72  | Case 1:
% 194.58/31.72  | | 
% 194.58/31.72  | |   (30)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 194.58/31.72  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.58/31.72  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 194.58/31.72  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 194.58/31.72  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.58/31.72  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 194.58/31.72  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 194.58/31.72  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 194.58/31.72  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 194.58/31.72  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 194.58/31.72  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.58/31.72  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.58/31.72  | | 
% 194.58/31.72  | | BETA: splitting (30) gives:
% 194.58/31.72  | | 
% 194.58/31.72  | | Case 1:
% 194.58/31.72  | | | 
% 194.58/31.72  | | |   (31)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.58/31.72  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.58/31.72  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 194.58/31.72  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 194.58/31.72  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 194.58/31.72  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.72  | | |           $i(all_57_2) & $i(all_57_12))
% 194.58/31.72  | | | 
% 194.58/31.72  | | | BETA: splitting (31) gives:
% 194.58/31.72  | | | 
% 194.58/31.72  | | | Case 1:
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | |   (32)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.58/31.72  | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.58/31.72  | | | |         op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 194.58/31.72  | | | |         $i(all_57_12)
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | ALPHA: (32) implies:
% 194.58/31.72  | | | |   (33)  op(e2, e3) = e2
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | REF_CLOSE: (8), (9), (14), (18), (21), (24), (27), (33) are inconsistent
% 194.58/31.72  | | | |            by sub-proof #169.
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | Case 2:
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | |   (34)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 194.58/31.72  | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.58/31.72  | | | |         op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 194.58/31.72  | | | |         $i(all_57_12)
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | ALPHA: (34) implies:
% 194.58/31.72  | | | |   (35)  op(e2, e3) = e2
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | REF_CLOSE: (8), (9), (14), (18), (21), (24), (27), (35) are inconsistent
% 194.58/31.72  | | | |            by sub-proof #169.
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | End of split
% 194.58/31.72  | | | 
% 194.58/31.72  | | Case 2:
% 194.58/31.72  | | | 
% 194.58/31.72  | | |   (36)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.72  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.58/31.72  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.58/31.72  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 194.58/31.72  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 194.58/31.72  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.72  | | |           $i(all_57_2) & $i(all_57_14))
% 194.58/31.72  | | | 
% 194.58/31.72  | | | REF_CLOSE: (2), (4), (7), (9), (19), (36) are inconsistent by sub-proof
% 194.58/31.72  | | |            #184.
% 194.58/31.72  | | | 
% 194.58/31.72  | | End of split
% 194.58/31.72  | | 
% 194.58/31.72  | Case 2:
% 194.58/31.72  | | 
% 194.58/31.72  | |   (37)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.58/31.72  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.58/31.72  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.58/31.72  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.58/31.72  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.58/31.72  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 194.58/31.72  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.58/31.72  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 194.58/31.72  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.58/31.72  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.58/31.72  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.58/31.72  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.58/31.72  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.58/31.72  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.58/31.72  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.58/31.72  | | 
% 194.58/31.72  | | BETA: splitting (37) gives:
% 194.58/31.72  | | 
% 194.58/31.72  | | Case 1:
% 194.58/31.72  | | | 
% 194.58/31.72  | | |   (38)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.72  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.58/31.72  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.58/31.72  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 194.58/31.72  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 194.58/31.72  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.72  | | |           $i(all_57_5) & $i(all_57_10))
% 194.58/31.72  | | | 
% 194.58/31.72  | | | REF_CLOSE: (1), (7), (9), (10), (38) are inconsistent by sub-proof #183.
% 194.58/31.72  | | | 
% 194.58/31.72  | | Case 2:
% 194.58/31.72  | | | 
% 194.58/31.72  | | |   (39)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.58/31.72  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.58/31.72  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.58/31.72  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 194.58/31.72  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 194.58/31.72  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.72  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 194.58/31.72  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.58/31.72  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.72  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.58/31.72  | | | 
% 194.58/31.72  | | | BETA: splitting (39) gives:
% 194.58/31.72  | | | 
% 194.58/31.72  | | | Case 1:
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | |   (40)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.58/31.72  | | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.58/31.72  | | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.58/31.72  | | | |         $i(all_57_14)
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | ALPHA: (40) implies:
% 194.58/31.72  | | | |   (41)  op(e3, e3) = e2
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | REF_CLOSE: (9), (11), (20), (41) are inconsistent by sub-proof #1934.
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | Case 2:
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | |   (42)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.58/31.72  | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.72  | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.58/31.72  | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 194.58/31.72  | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 194.58/31.72  | | | |           & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.58/31.72  | | | |           $i(all_57_7) & $i(all_57_10))
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | BETA: splitting (42) gives:
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | | Case 1:
% 194.58/31.72  | | | | | 
% 194.58/31.72  | | | | |   (43)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.58/31.72  | | | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.72  | | | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.58/31.72  | | | | |         $i(all_57_14)
% 194.58/31.72  | | | | | 
% 194.58/31.72  | | | | | ALPHA: (43) implies:
% 194.58/31.72  | | | | |   (44)  op(e0, e0) = e2
% 194.58/31.72  | | | | | 
% 194.58/31.72  | | | | | REF_CLOSE: (5), (6), (9), (16), (17), (26), (44) are inconsistent by
% 194.58/31.72  | | | | |            sub-proof #1645.
% 194.58/31.72  | | | | | 
% 194.58/31.72  | | | | Case 2:
% 194.58/31.72  | | | | | 
% 194.58/31.72  | | | | |   (45)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.72  | | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.58/31.72  | | | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.58/31.72  | | | | |         $i(all_57_10)
% 194.58/31.72  | | | | | 
% 194.58/31.72  | | | | | ALPHA: (45) implies:
% 194.58/31.72  | | | | |   (46)  op(e2, e2) = e1
% 194.58/31.72  | | | | | 
% 194.58/31.72  | | | | | REF_CLOSE: (3), (9), (12), (13), (15), (22), (23), (25), (28), (46)
% 194.58/31.72  | | | | |            are inconsistent by sub-proof #581.
% 194.58/31.72  | | | | | 
% 194.58/31.72  | | | | End of split
% 194.58/31.72  | | | | 
% 194.58/31.72  | | | End of split
% 194.58/31.72  | | | 
% 194.58/31.72  | | End of split
% 194.58/31.72  | | 
% 194.58/31.72  | End of split
% 194.58/31.72  | 
% 194.58/31.72  End of proof
% 194.58/31.72  
% 194.58/31.72  Sub-proof #168 shows that the following formulas are inconsistent:
% 194.58/31.72  ----------------------------------------------------------------
% 194.58/31.72    (1)   ~ (all_52_4 = e3)
% 194.58/31.72    (2)  op(e1, e3) = all_52_2
% 194.58/31.72    (3)   ~ (all_52_13 = e3)
% 194.58/31.72    (4)  op(e1, e2) = all_52_6
% 194.58/31.72    (5)  op(e2, e3) = e0
% 194.58/31.72    (6)  op(e1, e2) = e1
% 194.58/31.72    (7)   ~ (all_52_2 = e0)
% 194.58/31.72    (8)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.58/31.72         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.58/31.72    (9)   ~ (e3 = e2)
% 194.58/31.72    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.72            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.72    (11)  op(e3, e2) = all_52_4
% 194.58/31.72    (12)  op(e2, e2) = e3
% 194.58/31.72    (13)   ~ (all_52_9 = e3)
% 194.58/31.72    (14)  op(e0, e3) = all_52_3
% 194.58/31.72    (15)  op(e2, e0) = all_52_13
% 194.58/31.72    (16)  all_54_8 = all_52_2
% 194.58/31.72    (17)  op(e1, e3) = e2
% 194.58/31.72    (18)  all_56_6 = e2
% 194.58/31.73    (19)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.58/31.73            op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.58/31.73            $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.58/31.73                  e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 194.58/31.73                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.58/31.73                $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3
% 194.58/31.73            & op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2,
% 194.58/31.73              e2) = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.58/31.73                (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.58/31.73            ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.58/31.73                = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.58/31.73            all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.58/31.73            op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.58/31.73                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.58/31.73                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.58/31.73                (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.73          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.58/31.73            & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10)
% 194.58/31.73            & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.58/31.73                  e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 194.58/31.73                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.58/31.73                $i(all_57_2)))) | (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0
% 194.58/31.73            & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 194.58/31.73            all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.58/31.73                (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.58/31.73            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.58/31.73                  e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 =
% 194.58/31.73            e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.58/31.73            op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 194.58/31.73                op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.58/31.73                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.58/31.73                (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.58/31.73          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.58/31.73            op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.58/31.73            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.58/31.73                  e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 194.58/31.73                & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.58/31.73                $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2
% 194.58/31.73            & op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1,
% 194.58/31.73              e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.58/31.73                (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.73            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.58/31.73                = all_57_5 & $i(all_57_5))))
% 194.58/31.73    (20)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.58/31.73          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.58/31.73    (21)   ~ (e1 = e0)
% 194.58/31.73    (22)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.58/31.73          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.58/31.73    (23)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.58/31.73    (24)   ~ (all_52_2 = all_52_6)
% 194.58/31.73    (25)   ~ (e2 = e1)
% 194.58/31.73    (26)   ~ (all_52_3 = e0)
% 194.58/31.73    (27)   ~ (all_52_2 = e1)
% 194.58/31.73    (28)  all_56_2 = e0
% 194.58/31.73    (29)  op(e2, e1) = all_52_9
% 194.58/31.73    (30)   ~ (all_52_1 = all_52_2)
% 194.58/31.73    (31)   ~ (e3 = e1)
% 194.58/31.73    (32)  op(e2, e3) = all_52_1
% 194.58/31.73    (33)  op(e2, e1) = e2
% 194.58/31.73    (34)   ~ (e3 = e0)
% 194.58/31.73  
% 194.58/31.73  Begin of proof
% 194.58/31.73  | 
% 194.58/31.73  | BETA: splitting (19) gives:
% 194.58/31.73  | 
% 194.58/31.73  | Case 1:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (35)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.58/31.73  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.58/31.73  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.73  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.58/31.73  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.58/31.73  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 194.58/31.73  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.58/31.73  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 194.58/31.73  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.58/31.73  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.58/31.73  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.58/31.73  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 194.58/31.73  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 194.58/31.73  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.58/31.73  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.58/31.73  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.58/31.73  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.73  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.58/31.73  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.58/31.73  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.58/31.73  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.58/31.73  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.58/31.73  | |                 e3) = all_57_2 & $i(all_57_2))))
% 194.58/31.73  | | 
% 194.58/31.73  | | BETA: splitting (35) gives:
% 194.58/31.73  | | 
% 194.58/31.73  | | Case 1:
% 194.58/31.73  | | | 
% 194.58/31.73  | | |   (36)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 194.58/31.73  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.58/31.73  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.73  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.58/31.73  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.58/31.73  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 194.58/31.73  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.58/31.73  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 194.58/31.73  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.58/31.73  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 194.58/31.73  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.58/31.73  | | |               all_57_2 & $i(all_57_2))))
% 194.58/31.73  | | | 
% 194.58/31.73  | | | BETA: splitting (36) gives:
% 194.58/31.73  | | | 
% 194.58/31.73  | | | Case 1:
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | |   (37)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 194.58/31.73  | | | |         & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.58/31.73  | | | |         $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.73  | | | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.58/31.73  | | | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.58/31.73  | | | |             op(e0, e2) = all_57_5 & $i(all_57_5)))
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | | ALPHA: (37) implies:
% 194.58/31.73  | | | |   (38)  op(e3, e2) = e3
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | | REF_CLOSE: (1), (10), (11), (38) are inconsistent by sub-proof #1972.
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | Case 2:
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | |   (39)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 194.58/31.73  | | | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3
% 194.58/31.73  | | | |         & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.58/31.73  | | | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.58/31.73  | | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.58/31.73  | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | | ALPHA: (39) implies:
% 194.58/31.73  | | | |   (40)  op(e2, e3) = e2
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | | REF_CLOSE: (7), (10), (16), (23), (27), (30), (32), (40) are
% 194.58/31.73  | | | |            inconsistent by sub-proof #169.
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | End of split
% 194.58/31.73  | | | 
% 194.58/31.73  | | Case 2:
% 194.58/31.73  | | | 
% 194.58/31.73  | | |   (41)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 194.58/31.73  | | |           & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.58/31.73  | | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.58/31.73  | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.58/31.73  | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 194.58/31.73  | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 &
% 194.58/31.73  | | |           all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.58/31.73  | | |             e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.58/31.73  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.58/31.73  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 &
% 194.58/31.73  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.58/31.73  | | |               all_57_2 & $i(all_57_2))))
% 194.58/31.73  | | | 
% 194.58/31.73  | | | BETA: splitting (41) gives:
% 194.58/31.73  | | | 
% 194.58/31.73  | | | Case 1:
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | |   (42)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 194.58/31.73  | | | |         & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.58/31.73  | | | |         $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.58/31.73  | | | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.58/31.73  | | | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 194.58/31.73  | | | |             op(e0, e1) = all_57_8 & $i(all_57_8)))
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | | ALPHA: (42) implies:
% 194.58/31.73  | | | |   (43)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.58/31.73  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7))
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | | REF_CLOSE: (10), (12), (31), (33), (43) are inconsistent by sub-proof
% 194.58/31.73  | | | |            #204.
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | Case 2:
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | |   (44)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.58/31.73  | | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3
% 194.58/31.73  | | | |         & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.58/31.73  | | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.58/31.73  | | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.58/31.73  | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | | ALPHA: (44) implies:
% 194.58/31.73  | | | |   (45)  op(e1, e3) = e1
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | | REF_CLOSE: (2), (4), (6), (10), (24), (45) are inconsistent by sub-proof
% 194.58/31.73  | | | |            #185.
% 194.58/31.73  | | | | 
% 194.58/31.73  | | | End of split
% 194.58/31.73  | | | 
% 194.58/31.73  | | End of split
% 194.58/31.73  | | 
% 194.58/31.73  | Case 2:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (46)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.58/31.73  | |           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.58/31.73  | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.58/31.73  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.58/31.73  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.58/31.73  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.58/31.73  | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.58/31.73  | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.58/31.73  | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.58/31.73  | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 194.58/31.73  | |                 e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.58/31.73  | |               $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 =
% 194.58/31.73  | |           e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 194.58/31.73  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.58/31.73  | |               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.58/31.73  | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.58/31.73  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.73  | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.58/31.73  | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.58/31.73  | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.58/31.73  | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.73  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.58/31.73  | |                 e2) = all_57_5 & $i(all_57_5))))
% 194.58/31.73  | | 
% 194.58/31.73  | | BETA: splitting (46) gives:
% 194.58/31.73  | | 
% 194.58/31.73  | | Case 1:
% 194.58/31.73  | | | 
% 194.58/31.73  | | |   (47)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 194.58/31.73  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.58/31.73  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.58/31.73  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 194.58/31.73  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.58/31.73  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.58/31.73  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.58/31.73  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.58/31.73  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.58/31.73  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 194.58/31.73  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.58/31.73  | | |               all_57_1 & $i(all_57_1))))
% 194.58/31.73  | | | 
% 194.58/31.73  | | | REF_CLOSE: (5), (8), (9), (10), (14), (17), (18), (21), (22), (25), (26),
% 194.58/31.73  | | |            (28), (31), (34), (47) are inconsistent by sub-proof #181.
% 194.58/31.73  | | | 
% 194.58/31.73  | | Case 2:
% 194.58/31.73  | | | 
% 194.58/31.73  | | |   (48)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1
% 194.58/31.73  | | |           & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.58/31.73  | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.58/31.73  | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.58/31.73  | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 194.58/31.73  | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 &
% 194.58/31.73  | | |           all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 194.58/31.73  | | |             e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.58/31.73  | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.58/31.73  | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 &
% 194.58/31.73  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.58/31.73  | | |               all_57_5 & $i(all_57_5))))
% 194.58/31.73  | | | 
% 194.58/31.73  | | | REF_CLOSE: (3), (10), (13), (15), (20), (25), (28), (29), (31), (33),
% 194.58/31.73  | | |            (34), (48) are inconsistent by sub-proof #180.
% 194.58/31.73  | | | 
% 194.58/31.73  | | End of split
% 194.58/31.73  | | 
% 194.58/31.73  | End of split
% 194.58/31.73  | 
% 194.58/31.73  End of proof
% 194.58/31.73  
% 194.58/31.73  Sub-proof #169 shows that the following formulas are inconsistent:
% 194.58/31.73  ----------------------------------------------------------------
% 194.58/31.73    (1)   ~ (all_52_2 = e0)
% 194.58/31.73    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.73    (3)  all_54_8 = all_52_2
% 194.58/31.73    (4)  op(e2, e3) = e2
% 194.58/31.73    (5)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.58/31.73    (6)   ~ (all_52_2 = e1)
% 194.58/31.73    (7)   ~ (all_52_1 = all_52_2)
% 194.58/31.73    (8)  op(e2, e3) = all_52_1
% 194.58/31.73  
% 194.58/31.73  Begin of proof
% 194.58/31.73  | 
% 194.58/31.73  | BETA: splitting (5) gives:
% 194.58/31.73  | 
% 194.58/31.73  | Case 1:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (9)  all_54_8 = e2
% 194.58/31.73  | | 
% 194.58/31.73  | | COMBINE_EQS: (3), (9) imply:
% 194.58/31.73  | |   (10)  all_52_2 = e2
% 194.58/31.73  | | 
% 194.58/31.73  | | SIMP: (10) implies:
% 194.58/31.73  | |   (11)  all_52_2 = e2
% 194.58/31.73  | | 
% 194.58/31.73  | | REDUCE: (7), (11) imply:
% 194.58/31.73  | |   (12)   ~ (all_52_1 = e2)
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (2), (4), (8), (12) are inconsistent by sub-proof #1785.
% 194.58/31.73  | | 
% 194.58/31.73  | Case 2:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (13)  all_54_8 = e1 | all_54_8 = e0
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (1), (3), (6), (13) are inconsistent by sub-proof #1365.
% 194.58/31.73  | | 
% 194.58/31.73  | End of split
% 194.58/31.73  | 
% 194.58/31.73  End of proof
% 194.58/31.73  
% 194.58/31.73  Sub-proof #170 shows that the following formulas are inconsistent:
% 194.58/31.73  ----------------------------------------------------------------
% 194.58/31.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.73    (2)  op(e3, e3) = e1
% 194.58/31.73    (3)   ~ (e2 = e1)
% 194.58/31.73    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 194.58/31.73    (5)  all_56_2 = e0
% 194.58/31.73    (6)   ~ (e2 = e0)
% 194.58/31.73  
% 194.58/31.73  Begin of proof
% 194.58/31.73  | 
% 194.58/31.73  | BETA: splitting (4) gives:
% 194.58/31.73  | 
% 194.58/31.73  | Case 1:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 194.58/31.73  | | 
% 194.58/31.73  | | ALPHA: (7) implies:
% 194.58/31.73  | |   (8)  op(e3, e3) = e2
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1934.
% 194.58/31.73  | | 
% 194.58/31.73  | Case 2:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #1507.
% 194.58/31.73  | | 
% 194.58/31.73  | End of split
% 194.58/31.73  | 
% 194.58/31.73  End of proof
% 194.58/31.73  
% 194.58/31.73  Sub-proof #171 shows that the following formulas are inconsistent:
% 194.58/31.73  ----------------------------------------------------------------
% 194.58/31.73    (1)   ~ (all_52_13 = e3)
% 194.58/31.73    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.73    (3)  op(e3, e2) = all_52_4
% 194.58/31.73    (4)   ~ (all_52_9 = e3)
% 194.58/31.73    (5)  op(e2, e0) = all_52_13
% 194.58/31.73    (6)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 194.58/31.73    (7)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.58/31.73         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.58/31.73    (8)   ~ (all_52_4 = e1)
% 194.58/31.73    (9)  all_56_2 = e0
% 194.58/31.73    (10)  op(e2, e1) = all_52_9
% 194.58/31.73    (11)   ~ (e3 = e1)
% 194.58/31.73    (12)   ~ (e3 = e0)
% 194.58/31.73  
% 194.58/31.73  Begin of proof
% 194.58/31.73  | 
% 194.58/31.73  | BETA: splitting (6) gives:
% 194.58/31.73  | 
% 194.58/31.73  | Case 1:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (13)  all_56_1 = e1 & op(e3, e2) = e1
% 194.58/31.73  | | 
% 194.58/31.73  | | ALPHA: (13) implies:
% 194.58/31.73  | |   (14)  op(e3, e2) = e1
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (2), (3), (8), (14) are inconsistent by sub-proof #1910.
% 194.58/31.73  | | 
% 194.58/31.73  | Case 2:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (15)  all_56_3 = e1 & op(e2, e2) = e1
% 194.58/31.73  | | 
% 194.58/31.73  | | ALPHA: (15) implies:
% 194.58/31.73  | |   (16)  op(e2, e2) = e1
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (1), (2), (4), (5), (7), (9), (10), (11), (12), (16) are
% 194.58/31.73  | |            inconsistent by sub-proof #581.
% 194.58/31.73  | | 
% 194.58/31.73  | End of split
% 194.58/31.73  | 
% 194.58/31.73  End of proof
% 194.58/31.73  
% 194.58/31.73  Sub-proof #172 shows that the following formulas are inconsistent:
% 194.58/31.73  ----------------------------------------------------------------
% 194.58/31.73    (1)   ~ (all_52_3 = e1)
% 194.58/31.73    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.73    (3)  op(e0, e3) = all_52_3
% 194.58/31.73    (4)  op(e0, e2) = all_40_0
% 194.58/31.73    (5)   ~ (all_40_0 = e1)
% 194.58/31.73    (6)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.58/31.73  
% 194.58/31.73  Begin of proof
% 194.58/31.73  | 
% 194.58/31.73  | BETA: splitting (6) gives:
% 194.58/31.73  | 
% 194.58/31.73  | Case 1:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (7)  all_56_12 = e1 & op(e0, e3) = e1
% 194.58/31.73  | | 
% 194.58/31.73  | | ALPHA: (7) implies:
% 194.58/31.73  | |   (8)  op(e0, e3) = e1
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1950.
% 194.58/31.73  | | 
% 194.58/31.73  | Case 2:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (9)  all_56_13 = e1 & op(e0, e2) = e1
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #178.
% 194.58/31.73  | | 
% 194.58/31.73  | End of split
% 194.58/31.73  | 
% 194.58/31.73  End of proof
% 194.58/31.73  
% 194.58/31.73  Sub-proof #173 shows that the following formulas are inconsistent:
% 194.58/31.73  ----------------------------------------------------------------
% 194.58/31.73    (1)   ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 & $i(all_22_1)
% 194.58/31.73    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.73    (3)  op(e1, e0) = e3
% 194.58/31.73  
% 194.58/31.73  Begin of proof
% 194.58/31.73  | 
% 194.58/31.73  | ALPHA: (1) implies:
% 194.58/31.73  |   (4)   ~ (all_22_1 = e3)
% 194.58/31.73  |   (5)  op(e1, e0) = all_22_1
% 194.58/31.73  | 
% 194.58/31.73  | GROUND_INST: instantiating (2) with e3, all_22_1, e0, e1, simplifying with
% 194.58/31.73  |              (3), (5) gives:
% 194.58/31.73  |   (6)  all_22_1 = e3
% 194.58/31.73  | 
% 194.58/31.73  | REDUCE: (4), (6) imply:
% 194.58/31.73  |   (7)  $false
% 194.58/31.73  | 
% 194.58/31.73  | CLOSE: (7) is inconsistent.
% 194.58/31.73  | 
% 194.58/31.73  End of proof
% 194.58/31.73  
% 194.58/31.73  Sub-proof #174 shows that the following formulas are inconsistent:
% 194.58/31.73  ----------------------------------------------------------------
% 194.58/31.73    (1)  op(e0, e0) = all_14_2
% 194.58/31.73    (2)   ~ (all_14_2 = e1)
% 194.58/31.73    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.73    (4)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.58/31.73    (5)  all_56_11 = e3
% 194.58/31.73    (6)   ~ (e3 = e1)
% 194.58/31.73  
% 194.58/31.73  Begin of proof
% 194.58/31.73  | 
% 194.58/31.73  | BETA: splitting (4) gives:
% 194.58/31.73  | 
% 194.58/31.73  | Case 1:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (7)  all_56_11 = e1 & op(e1, e0) = e1
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (5), (6), (7) are inconsistent by sub-proof #500.
% 194.58/31.73  | | 
% 194.58/31.73  | Case 2:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (8)  all_56_15 = e1 & op(e0, e0) = e1
% 194.58/31.73  | | 
% 194.58/31.73  | | ALPHA: (8) implies:
% 194.58/31.73  | |   (9)  op(e0, e0) = e1
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1967.
% 194.58/31.73  | | 
% 194.58/31.73  | End of split
% 194.58/31.73  | 
% 194.58/31.73  End of proof
% 194.58/31.73  
% 194.58/31.73  Sub-proof #175 shows that the following formulas are inconsistent:
% 194.58/31.73  ----------------------------------------------------------------
% 194.58/31.73    (1)  all_56_10 = e1
% 194.58/31.73    (2)   ~ (e3 = e2)
% 194.58/31.73    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.73    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.58/31.73         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.58/31.73    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.58/31.73         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.58/31.73    (6)  all_56_4 = e1
% 194.58/31.73    (7)  all_56_14 = e3
% 194.58/31.73    (8)  op(e1, e1) = e0
% 194.58/31.73    (9)   ~ (e1 = e0)
% 194.58/31.73    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.58/31.73          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.58/31.73    (11)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.58/31.73    (12)   ~ (e2 = e1)
% 194.58/31.73    (13)   ~ (e3 = e1)
% 194.58/31.73    (14)   ~ (e2 = e0)
% 194.58/31.73    (15)   ~ (e3 = e0)
% 194.58/31.73  
% 194.58/31.73  Begin of proof
% 194.58/31.73  | 
% 194.58/31.73  | BETA: splitting (11) gives:
% 194.58/31.73  | 
% 194.58/31.73  | Case 1:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (16)  all_56_5 = e0 & op(e2, e1) = e0
% 194.58/31.73  | | 
% 194.58/31.73  | | ALPHA: (16) implies:
% 194.58/31.73  | |   (17)  all_56_5 = e0
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (12), (14), (17) are inconsistent
% 194.58/31.73  | |            by sub-proof #1555.
% 194.58/31.73  | | 
% 194.58/31.73  | Case 2:
% 194.58/31.73  | | 
% 194.58/31.73  | |   (18)  all_56_10 = e0 & op(e2, e0) = e0
% 194.58/31.73  | | 
% 194.58/31.73  | | ALPHA: (18) implies:
% 194.58/31.73  | |   (19)  all_56_10 = e0
% 194.58/31.73  | | 
% 194.58/31.73  | | COMBINE_EQS: (1), (19) imply:
% 194.58/31.73  | |   (20)  e1 = e0
% 194.58/31.73  | | 
% 194.58/31.73  | | SIMP: (20) implies:
% 194.58/31.73  | |   (21)  e1 = e0
% 194.58/31.73  | | 
% 194.58/31.73  | | COMBINE_EQS: (6), (21) imply:
% 194.58/31.73  | |   (22)  all_56_4 = e0
% 194.58/31.73  | | 
% 194.58/31.73  | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (12), (13), (14), (15), (22)
% 194.58/31.73  | |            are inconsistent by sub-proof #1809.
% 194.58/31.73  | | 
% 194.58/31.73  | End of split
% 194.58/31.73  | 
% 194.58/31.73  End of proof
% 194.58/31.73  
% 194.58/31.73  Sub-proof #176 shows that the following formulas are inconsistent:
% 194.58/31.73  ----------------------------------------------------------------
% 194.58/31.73    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.58/31.73         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.58/31.73    (2)   ~ (all_52_4 = e3)
% 194.58/31.73    (3)  op(e1, e3) = all_52_2
% 194.58/31.73    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.58/31.73           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.58/31.73           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.58/31.73                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.58/31.73               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.58/31.73               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.58/31.73           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.58/31.73           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.58/31.73               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.58/31.73           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.58/31.73               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.58/31.73           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.58/31.73           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.58/31.73               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.58/31.73               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.58/31.73               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.73         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.58/31.73           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.58/31.73           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.58/31.73               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.58/31.74             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.58/31.74         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.58/31.74           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.58/31.74           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.58/31.74                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.58/31.74               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.58/31.74               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.58/31.74           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.58/31.74           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.58/31.74             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.58/31.74           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.58/31.74               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.58/31.74           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.58/31.74           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.58/31.74               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.58/31.74               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.58/31.74               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.74         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.58/31.74           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.58/31.74           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.58/31.74               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.58/31.74             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.58/31.74         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.58/31.74           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.58/31.74           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.58/31.74                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.58/31.74               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.58/31.74               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.58/31.74           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.58/31.74             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.58/31.74               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.74           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.58/31.74               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.58/31.74           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.58/31.74           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.58/31.74               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.58/31.74               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.58/31.74               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.58/31.74         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.58/31.74           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.58/31.74           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.58/31.74               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.58/31.74             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.58/31.74         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.58/31.74             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.58/31.74           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.58/31.74               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.58/31.74             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.58/31.74         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.58/31.74             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.74           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.58/31.74               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.58/31.74             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.58/31.74         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.58/31.74             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.58/31.74           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.58/31.74               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.58/31.74             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.74         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.58/31.74             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.58/31.74           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.58/31.74               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.58/31.74             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.58/31.74    (5)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.58/31.74         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.58/31.74    (6)   ~ (all_52_13 = e3)
% 194.58/31.74    (7)  op(e1, e2) = all_52_6
% 194.58/31.74    (8)  op(e2, e3) = e0
% 194.58/31.74    (9)   ~ (all_52_14 = e0)
% 194.58/31.74    (10)   ~ (all_52_6 = e0)
% 194.58/31.74    (11)  op(e0, e0) = all_14_2
% 194.58/31.74    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.58/31.74          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.58/31.74    (13)   ~ (all_14_2 = e1)
% 194.58/31.74    (14)   ~ (all_52_3 = e3)
% 194.58/31.74    (15)   ~ (all_52_6 = all_52_7)
% 194.58/31.74    (16)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.58/31.74          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.58/31.74    (17)   ~ (all_52_2 = e0)
% 194.58/31.74    (18)  all_54_2 = all_52_8
% 194.58/31.74    (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.58/31.74          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.58/31.74    (20)   ~ (all_52_13 = e2)
% 194.58/31.74    (21)   ~ (e3 = e2)
% 194.58/31.74    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.58/31.74            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.58/31.74    (23)   ~ (all_52_3 = all_14_2)
% 194.58/31.74    (24)   ~ (all_52_9 = e1)
% 194.58/31.74    (25)  op(e3, e2) = all_52_4
% 194.58/31.74    (26)  op(e2, e2) = e3
% 194.58/31.74    (27)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.58/31.74    (28)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.58/31.74          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.58/31.74    (29)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.58/31.74          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.58/31.74    (30)   ~ (all_52_3 = all_52_7)
% 194.58/31.74    (31)   ~ (all_52_9 = e3)
% 194.58/31.74    (32)  all_54_12 = all_52_3
% 194.58/31.74    (33)   ~ (all_52_4 = all_52_8)
% 194.58/31.74    (34)  all_54_13 = all_52_7
% 194.58/31.74    (35)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.58/31.74          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 194.58/31.74            e1)
% 194.58/31.74    (36)  op(e0, e3) = all_52_3
% 194.58/31.74    (37)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.58/31.74          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 194.58/31.74            e2)
% 194.58/31.74    (38)  op(e2, e0) = all_52_13
% 194.58/31.74    (39)  op(e1, e0) = all_52_14
% 194.58/31.74    (40)  all_56_4 = e1
% 194.58/31.74    (41)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.58/31.74              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.58/31.74            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.58/31.74            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.58/31.74            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.58/31.74            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.58/31.74            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.58/31.74            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.58/31.74            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.58/31.74            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.58/31.74            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.74            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.58/31.74            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.58/31.74            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.58/31.74            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.58/31.74            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.58/31.74            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.74            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.58/31.74            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.74            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.58/31.74            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.58/31.74            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.74            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.58/31.74            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.58/31.74            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.58/31.74            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.58/31.74            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.58/31.74            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.58/31.74            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.74            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.58/31.74            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.58/31.74            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.58/31.74            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.58/31.74            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.58/31.74            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.74            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.58/31.74            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.74            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.74            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.58/31.74            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.74            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.58/31.74            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.58/31.74            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.58/31.74            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.58/31.74            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.58/31.74            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.58/31.74            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.58/31.74            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.58/31.74              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.58/31.74            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.58/31.74            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.58/31.74              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.58/31.74            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.58/31.74            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.58/31.74                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.58/31.74                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.74                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.58/31.74                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.58/31.74                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.58/31.74                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.58/31.74                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.58/31.74              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.58/31.74                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.58/31.74                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.58/31.74                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.58/31.74                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.58/31.74                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.58/31.74                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.58/31.74                $i(all_57_7))))
% 194.58/31.74    (42)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.58/31.74          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.58/31.74    (43)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.58/31.74          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.58/31.74    (44)  all_56_11 = e3
% 194.58/31.74    (45)  op(e0, e1) = all_52_11
% 194.58/31.74    (46)  op(e3, e3) = e3
% 194.58/31.74    (47)   ~ (all_52_12 = e3)
% 194.58/31.74    (48)   ~ (all_52_2 = e3)
% 194.58/31.74    (49)  all_56_14 = e3
% 194.58/31.74    (50)  op(e1, e1) = e0
% 194.58/31.74    (51)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.58/31.74          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.58/31.74    (52)   ~ (all_14_2 = e3)
% 194.58/31.74    (53)  ( ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 & op(e2, e3) = all_4_1 &
% 194.58/31.74            $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e1) & op(e2, e3) = all_4_1
% 194.58/31.74            & $i(all_4_1))
% 194.58/31.74    (54)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.58/31.74          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.58/31.74    (55)   ~ (all_52_8 = all_52_11)
% 194.58/31.74    (56)   ~ (all_52_6 = e3)
% 194.58/31.74    (57)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.58/31.74          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.58/31.74    (58)   ~ (all_52_7 = all_14_2)
% 194.58/31.74    (59)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.58/31.74          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.58/31.74    (60)   ~ (all_52_2 = all_52_6)
% 194.58/31.74    (61)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.58/31.74    (62)   ~ (all_52_1 = e2)
% 194.58/31.74    (63)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.58/31.74              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.58/31.74                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.58/31.74                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.58/31.74    (64)   ~ (e2 = e1)
% 194.58/31.74    (65)   ~ (all_52_11 = e0)
% 194.58/31.74    (66)   ~ (all_52_3 = e0)
% 194.58/31.74    (67)  all_56_5 = e2
% 194.58/31.74    (68)  all_54_2 = e1 | all_54_2 = e0
% 194.58/31.74    (69)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.58/31.74          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.58/31.74    (70)  op(e3, e0) = all_52_12
% 194.58/31.74    (71)  all_56_2 = e0
% 194.58/31.74    (72)   ~ (all_52_7 = e3)
% 194.58/31.74    (73)   ~ (all_52_2 = all_52_3)
% 194.58/31.74    (74)  op(e2, e1) = all_52_9
% 194.58/31.74    (75)   ~ (e3 = e1)
% 194.58/31.74    (76)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.58/31.74          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.58/31.74    (77)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.58/31.74          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.58/31.74    (78)  op(e0, e2) = all_52_7
% 194.58/31.74    (79)   ~ (e2 = e0)
% 194.58/31.74    (80)  op(e2, e3) = all_52_1
% 194.58/31.74    (81)  op(e2, e1) = e2
% 194.58/31.74    (82)   ~ (all_52_8 = e0)
% 194.58/31.74    (83)   ~ (e3 = e0)
% 194.58/31.74    (84)  ( ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 & op(e2, e3) =
% 194.58/31.74            all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 = e0) & op(e2,
% 194.58/31.74              e3) = all_40_1 & $i(all_40_1))
% 194.58/31.74  
% 194.58/31.74  Begin of proof
% 194.58/31.74  | 
% 194.58/31.74  | BETA: splitting (53) gives:
% 194.58/31.74  | 
% 194.58/31.74  | Case 1:
% 194.58/31.74  | | 
% 194.58/31.74  | |   (85)   ~ (all_4_0 = e0) & op(all_4_1, e2) = all_4_0 & op(e2, e3) = all_4_1
% 194.58/31.74  | |         & $i(all_4_0) & $i(all_4_1)
% 194.58/31.74  | | 
% 194.58/31.74  | | ALPHA: (85) implies:
% 194.58/31.74  | |   (86)   ~ (all_4_0 = e0)
% 194.58/31.74  | |   (87)  op(e2, e3) = all_4_1
% 194.58/31.74  | |   (88)  op(all_4_1, e2) = all_4_0
% 194.58/31.74  | | 
% 194.58/31.74  | | GROUND_INST: instantiating (22) with e0, all_4_1, e3, e2, simplifying with
% 194.58/31.74  | |              (8), (87) gives:
% 194.58/31.74  | |   (89)  all_4_1 = e0
% 194.58/31.74  | | 
% 194.58/31.74  | | REDUCE: (88), (89) imply:
% 194.58/31.74  | |   (90)  op(e0, e2) = all_4_0
% 194.58/31.74  | | 
% 194.58/31.74  | | BETA: splitting (84) gives:
% 194.58/31.74  | | 
% 194.58/31.74  | | Case 1:
% 194.58/31.74  | | | 
% 194.58/31.74  | | |   (91)   ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 & op(e2, e3) =
% 194.58/31.74  | | |         all_40_1 & $i(all_40_0) & $i(all_40_1)
% 194.58/31.74  | | | 
% 194.58/31.74  | | | ALPHA: (91) implies:
% 194.58/31.74  | | |   (92)   ~ (all_40_0 = e1)
% 194.58/31.74  | | |   (93)  op(e2, e3) = all_40_1
% 194.58/31.74  | | |   (94)  op(all_40_1, e2) = all_40_0
% 194.58/31.74  | | | 
% 194.58/31.74  | | | GROUND_INST: instantiating (22) with all_52_7, all_4_0, e2, e0,
% 194.58/31.74  | | |              simplifying with (78), (90) gives:
% 194.58/31.74  | | |   (95)  all_52_7 = all_4_0
% 194.58/31.74  | | | 
% 194.58/31.74  | | | GROUND_INST: instantiating (22) with e0, all_40_1, e3, e2, simplifying
% 194.58/31.74  | | |              with (8), (93) gives:
% 194.58/31.74  | | |   (96)  all_40_1 = e0
% 194.58/31.74  | | | 
% 194.58/31.74  | | | COMBINE_EQS: (34), (95) imply:
% 194.58/31.74  | | |   (97)  all_54_13 = all_4_0
% 194.58/31.74  | | | 
% 194.58/31.74  | | | REDUCE: (30), (95) imply:
% 194.58/31.74  | | |   (98)   ~ (all_52_3 = all_4_0)
% 194.58/31.74  | | | 
% 194.58/31.74  | | | REDUCE: (15), (95) imply:
% 194.58/31.74  | | |   (99)   ~ (all_52_6 = all_4_0)
% 194.58/31.74  | | | 
% 194.58/31.74  | | | REDUCE: (58), (95) imply:
% 194.58/31.74  | | |   (100)   ~ (all_14_2 = all_4_0)
% 194.58/31.74  | | | 
% 194.58/31.74  | | | SIMP: (100) implies:
% 194.58/31.74  | | |   (101)   ~ (all_14_2 = all_4_0)
% 194.58/31.74  | | | 
% 194.58/31.74  | | | REDUCE: (72), (95) imply:
% 194.58/31.74  | | |   (102)   ~ (all_4_0 = e3)
% 194.58/31.74  | | | 
% 194.58/31.74  | | | REDUCE: (94), (96) imply:
% 194.58/31.74  | | |   (103)  op(e0, e2) = all_40_0
% 194.58/31.74  | | | 
% 194.58/31.74  | | | BETA: splitting (63) gives:
% 194.58/31.74  | | | 
% 194.58/31.74  | | | Case 1:
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | |   (104)  all_56_15 = e0 & op(e0, e0) = e0
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | | ALPHA: (104) implies:
% 194.58/31.74  | | | |   (105)  op(e0, e0) = e0
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | | GROUND_INST: instantiating (22) with all_14_2, e0, e0, e0, simplifying
% 194.58/31.74  | | | |              with (11), (105) gives:
% 194.58/31.74  | | | |   (106)  all_14_2 = e0
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | | GROUND_INST: instantiating (22) with all_4_0, all_40_0, e2, e0,
% 194.58/31.74  | | | |              simplifying with (90), (103) gives:
% 194.58/31.74  | | | |   (107)  all_40_0 = all_4_0
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | | REDUCE: (92), (107) imply:
% 194.58/31.74  | | | |   (108)   ~ (all_4_0 = e1)
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | | REDUCE: (101), (106) imply:
% 194.58/31.74  | | | |   (109)   ~ (all_4_0 = e0)
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | | REDUCE: (52), (106) imply:
% 194.58/31.74  | | | |   (110)   ~ (e3 = e0)
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | | REDUCE: (13), (106) imply:
% 194.58/31.74  | | | |   (111)   ~ (e1 = e0)
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | | SIMP: (111) implies:
% 194.58/31.74  | | | |   (112)   ~ (e1 = e0)
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | | BETA: splitting (61) gives:
% 194.58/31.74  | | | | 
% 194.58/31.74  | | | | Case 1:
% 194.58/31.74  | | | | | 
% 194.58/31.74  | | | | |   (113)  all_54_13 = e3
% 194.58/31.74  | | | | | 
% 194.58/31.74  | | | | | COMBINE_EQS: (97), (113) imply:
% 194.58/31.74  | | | | |   (114)  all_4_0 = e3
% 194.58/31.74  | | | | | 
% 194.58/31.74  | | | | | REDUCE: (102), (114) imply:
% 194.58/31.74  | | | | |   (115)  $false
% 194.58/31.74  | | | | | 
% 194.58/31.74  | | | | | CLOSE: (115) is inconsistent.
% 194.58/31.74  | | | | | 
% 194.58/31.74  | | | | Case 2:
% 194.58/31.74  | | | | | 
% 194.58/31.74  | | | | |   (116)   ~ (all_54_13 = e3)
% 194.58/31.74  | | | | |   (117)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.58/31.74  | | | | | 
% 194.58/31.74  | | | | | BETA: splitting (117) gives:
% 194.58/31.74  | | | | | 
% 194.58/31.74  | | | | | Case 1:
% 194.58/31.74  | | | | | | 
% 194.58/31.74  | | | | | |   (118)  all_54_13 = e2
% 194.58/31.74  | | | | | | 
% 194.58/31.74  | | | | | | COMBINE_EQS: (97), (118) imply:
% 194.58/31.74  | | | | | |   (119)  all_4_0 = e2
% 194.58/31.74  | | | | | | 
% 194.58/31.74  | | | | | | REDUCE: (98), (119) imply:
% 194.58/31.74  | | | | | |   (120)   ~ (all_52_3 = e2)
% 194.58/31.74  | | | | | | 
% 194.58/31.74  | | | | | | REDUCE: (99), (119) imply:
% 194.58/31.74  | | | | | |   (121)   ~ (all_52_6 = e2)
% 194.58/31.74  | | | | | | 
% 194.58/31.74  | | | | | | REDUCE: (102), (119) imply:
% 194.58/31.74  | | | | | |   (122)   ~ (e3 = e2)
% 194.58/31.74  | | | | | | 
% 194.58/31.74  | | | | | | REDUCE: (90), (119) imply:
% 194.58/31.74  | | | | | |   (123)  op(e0, e2) = e2
% 194.58/31.74  | | | | | | 
% 194.58/31.74  | | | | | | BETA: splitting (76) gives:
% 194.58/31.74  | | | | | | 
% 194.58/31.74  | | | | | | Case 1:
% 194.58/31.74  | | | | | | | 
% 194.58/31.74  | | | | | | |   (124)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 &
% 194.58/31.74  | | | | | | |            op(e1, e2) = e2)
% 194.58/31.74  | | | | | | | 
% 194.58/31.74  | | | | | | | BETA: splitting (124) gives:
% 194.58/31.74  | | | | | | | 
% 194.58/31.74  | | | | | | | Case 1:
% 194.58/31.74  | | | | | | | | 
% 194.58/31.74  | | | | | | | |   (125)  all_56_6 = e2 & op(e1, e3) = e2
% 194.58/31.74  | | | | | | | | 
% 194.58/31.74  | | | | | | | | ALPHA: (125) implies:
% 194.58/31.74  | | | | | | | |   (126)  all_56_6 = e2
% 194.58/31.74  | | | | | | | |   (127)  op(e1, e3) = e2
% 194.58/31.74  | | | | | | | | 
% 194.58/31.74  | | | | | | | | BETA: splitting (27) gives:
% 194.58/31.74  | | | | | | | | 
% 194.58/31.74  | | | | | | | | Case 1:
% 194.58/31.74  | | | | | | | | | 
% 194.58/31.74  | | | | | | | | |   (128)  all_54_12 = e3
% 194.58/31.74  | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | COMBINE_EQS: (32), (128) imply:
% 194.58/31.74  | | | | | | | | |   (129)  all_52_3 = e3
% 194.58/31.74  | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | REDUCE: (14), (129) imply:
% 194.58/31.74  | | | | | | | | |   (130)  $false
% 194.58/31.74  | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | CLOSE: (130) is inconsistent.
% 194.58/31.74  | | | | | | | | | 
% 194.58/31.74  | | | | | | | | Case 2:
% 194.58/31.74  | | | | | | | | | 
% 194.58/31.74  | | | | | | | | |   (131)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.58/31.74  | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | BETA: splitting (131) gives:
% 194.58/31.74  | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | Case 1:
% 194.58/31.74  | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | |   (132)  all_54_12 = e2
% 194.58/31.74  | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | COMBINE_EQS: (32), (132) imply:
% 194.58/31.74  | | | | | | | | | |   (133)  all_52_3 = e2
% 194.58/31.74  | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | REDUCE: (120), (133) imply:
% 194.58/31.74  | | | | | | | | | |   (134)  $false
% 194.58/31.74  | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | CLOSE: (134) is inconsistent.
% 194.58/31.74  | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | Case 2:
% 194.58/31.74  | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | |   (135)  all_54_12 = e1 | all_54_12 = e0
% 194.58/31.74  | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | BETA: splitting (41) gives:
% 194.58/31.74  | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | Case 1:
% 194.58/31.74  | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | |   (136)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.58/31.74  | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.74  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.58/31.74  | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.58/31.74  | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.58/31.74  | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.74  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.58/31.74  | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.58/31.74  | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.74  | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.58/31.74  | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.74  | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.58/31.74  | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.58/31.74  | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.58/31.74  | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.74  | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.74  | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 194.58/31.74  | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.58/31.74  | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.58/31.74  | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 194.58/31.74  | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.58/31.74  | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.58/31.74  | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.58/31.74  | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.58/31.74  | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.58/31.74  | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 194.58/31.74  | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 194.58/31.74  | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 194.58/31.74  | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.74  | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.58/31.74  | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.58/31.74  | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 194.58/31.74  | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 194.58/31.74  | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.58/31.74  | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.74  | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.58/31.74  | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.74  | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.58/31.74  | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | BETA: splitting (136) gives:
% 194.58/31.74  | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | Case 1:
% 194.58/31.74  | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | |   (137)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.58/31.74  | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.74  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.58/31.74  | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.58/31.74  | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.58/31.74  | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.74  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.58/31.74  | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.58/31.74  | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.74  | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.58/31.74  | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.74  | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.58/31.74  | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.58/31.74  | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.58/31.74  | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.74  | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.74  | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.58/31.74  | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | BETA: splitting (137) gives:
% 194.58/31.74  | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | Case 1:
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | |   (138)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.58/31.74  | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.74  | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.58/31.74  | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.58/31.74  | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.58/31.74  | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.74  | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.58/31.74  | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | REF_CLOSE: (22), (62), (80), (138) are inconsistent by
% 194.58/31.74  | | | | | | | | | | | | |            sub-proof #1784.
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | Case 2:
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | |   (139)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.74  | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.58/31.74  | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.74  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.58/31.74  | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.58/31.74  | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.58/31.74  | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.74  | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.74  | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | BETA: splitting (139) gives:
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | Case 1:
% 194.58/31.74  | | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | |   (140)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.74  | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.58/31.74  | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.74  | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.58/31.74  | | | | | | | | | | | | | |          $i(all_57_14)
% 194.58/31.74  | | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | | ALPHA: (140) implies:
% 194.58/31.74  | | | | | | | | | | | | | |   (141)  op(e1, e3) = e1
% 194.58/31.74  | | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | | REF_CLOSE: (3), (22), (32), (66), (73), (135), (141) are
% 194.58/31.74  | | | | | | | | | | | | | |            inconsistent by sub-proof #336.
% 194.58/31.74  | | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | Case 2:
% 194.58/31.74  | | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | |   (142)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.58/31.74  | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.58/31.74  | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 194.58/31.74  | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 194.58/31.74  | | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | | ALPHA: (142) implies:
% 194.58/31.74  | | | | | | | | | | | | | |   (143)  op(e1, e3) = e1
% 194.58/31.74  | | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | | REF_CLOSE: (3), (22), (32), (66), (73), (135), (143) are
% 194.58/31.74  | | | | | | | | | | | | | |            inconsistent by sub-proof #336.
% 194.58/31.74  | | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | End of split
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | End of split
% 194.58/31.74  | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | Case 2:
% 194.58/31.74  | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | |   (144)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.58/31.74  | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.58/31.74  | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.58/31.74  | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.58/31.74  | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.58/31.74  | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.58/31.74  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.58/31.74  | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.74  | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 194.58/31.74  | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.58/31.74  | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.58/31.74  | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 194.58/31.74  | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.58/31.74  | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.58/31.74  | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.58/31.74  | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.58/31.74  | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 194.58/31.74  | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.58/31.74  | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.58/31.74  | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.58/31.74  | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.58/31.74  | | | | | | | | | | | |            $i(all_57_10))
% 194.58/31.74  | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | BETA: splitting (144) gives:
% 194.58/31.74  | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | Case 1:
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | |   (145)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.58/31.74  | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.58/31.74  | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.58/31.74  | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.58/31.74  | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.58/31.74  | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.58/31.74  | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.58/31.74  | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.74  | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | | REF_CLOSE: (2), (22), (25), (145) are inconsistent by
% 194.58/31.74  | | | | | | | | | | | | |            sub-proof #1971.
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.74  | | | | | | | | | | | | Case 2:
% 194.58/31.74  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | |   (146)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.58/31.75  | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 194.58/31.75  | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 194.58/31.75  | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 194.58/31.75  | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 194.58/31.75  | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 194.58/31.75  | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.75  | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.75  | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 194.58/31.75  | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.75  | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.58/31.75  | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.75  | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | BETA: splitting (146) gives:
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | |   (147)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.58/31.75  | | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 194.58/31.75  | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 194.58/31.75  | | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | ALPHA: (147) implies:
% 194.58/31.75  | | | | | | | | | | | | | |   (148)  op(e3, e3) = e2
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (46), (148) are inconsistent by
% 194.58/31.75  | | | | | | | | | | | | | |            sub-proof #1957.
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | |   (149)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.58/31.75  | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.58/31.75  | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.58/31.75  | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 194.58/31.75  | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.58/31.75  | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.58/31.75  | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.58/31.75  | | | | | | | | | | | | | |            $i(all_57_10))
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | |   (150)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.58/31.75  | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.58/31.75  | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.58/31.75  | | | | | | | | | | | | | | |          op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 194.58/31.75  | | | | | | | | | | | | | | |   (151)  op(e0, e0) = e2
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | REF_CLOSE: (22), (79), (105), (151) are inconsistent by
% 194.58/31.75  | | | | | | | | | | | | | | |            sub-proof #1945.
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | |   (152)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.58/31.75  | | | | | | | | | | | | | | |            e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.58/31.75  | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.58/31.75  | | | | | | | | | | | | | | |          $i(all_57_10)
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | ALPHA: (152) implies:
% 194.58/31.75  | | | | | | | | | | | | | | |   (153)  op(e2, e2) = e1
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | REF_CLOSE: (6), (22), (31), (38), (51), (71), (74), (75),
% 194.58/31.75  | | | | | | | | | | | | | | |            (83), (153) are inconsistent by sub-proof #581.
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | |   (154)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.58/31.75  | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.58/31.75  | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.75  | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.58/31.75  | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.58/31.75  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.58/31.75  | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.58/31.75  | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.58/31.75  | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.58/31.75  | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.58/31.75  | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.58/31.75  | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.58/31.75  | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.58/31.75  | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.58/31.75  | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.75  | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.58/31.75  | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.58/31.75  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.75  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.58/31.75  | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 194.58/31.75  | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.58/31.75  | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 194.58/31.75  | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 194.58/31.75  | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.58/31.75  | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.58/31.75  | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.58/31.75  | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.58/31.75  | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 194.58/31.75  | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.58/31.75  | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.58/31.75  | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.58/31.75  | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.58/31.75  | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.58/31.75  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.58/31.75  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.58/31.75  | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.58/31.75  | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.58/31.75  | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.75  | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.58/31.75  | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.58/31.75  | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.58/31.75  | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.58/31.75  | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.58/31.75  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.58/31.75  | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.58/31.75  | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.58/31.75  | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.58/31.75  | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.58/31.75  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.58/31.75  | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.58/31.75  | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.75  | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.58/31.75  | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | BETA: splitting (154) gives:
% 194.58/31.75  | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | |   (155)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.58/31.75  | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.58/31.75  | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.75  | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.58/31.75  | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.58/31.75  | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.58/31.75  | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.58/31.75  | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.58/31.75  | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.58/31.75  | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.58/31.75  | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.58/31.75  | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.58/31.75  | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.58/31.75  | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.58/31.75  | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.58/31.75  | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.58/31.75  | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.58/31.75  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.75  | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.58/31.75  | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.58/31.75  | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | BETA: splitting (155) gives:
% 194.58/31.75  | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | |   (156)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.58/31.75  | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.58/31.75  | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.75  | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.58/31.75  | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.58/31.75  | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.58/31.75  | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.58/31.75  | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | REF_CLOSE: (22), (46), (75), (105), (112), (156) are
% 194.58/31.75  | | | | | | | | | | | | |            inconsistent by sub-proof #1312.
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | |   (157)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.58/31.75  | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.58/31.75  | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.58/31.75  | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.58/31.75  | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 194.58/31.75  | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.58/31.75  | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.58/31.75  | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.58/31.75  | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 194.58/31.75  | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.58/31.75  | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.58/31.75  | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.58/31.75  | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | REF_CLOSE: (22), (47), (70), (105), (112), (157) are
% 194.58/31.75  | | | | | | | | | | | | |            inconsistent by sub-proof #1828.
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | |   (158)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.58/31.75  | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.58/31.75  | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.58/31.75  | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.58/31.75  | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.58/31.75  | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.58/31.75  | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.58/31.75  | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 194.58/31.75  | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 194.58/31.75  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.58/31.75  | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.58/31.75  | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 194.58/31.75  | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.58/31.75  | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 194.58/31.75  | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 194.58/31.75  | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 194.58/31.75  | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.75  | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 194.58/31.75  | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.58/31.75  | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 194.58/31.75  | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.58/31.75  | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.58/31.75  | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.58/31.75  | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.58/31.75  | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.58/31.75  | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.58/31.75  | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.58/31.75  | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.58/31.75  | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.58/31.75  | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.58/31.75  | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.58/31.75  | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.75  | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.58/31.75  | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | BETA: splitting (158) gives:
% 194.58/31.75  | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | |   (159)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.58/31.75  | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.58/31.75  | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.58/31.75  | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.58/31.75  | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.58/31.75  | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.58/31.75  | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.58/31.75  | | | | | | | | | | | | |            $i(all_57_14))
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | REF_CLOSE: (8), (19), (21), (22), (57), (64), (71), (75),
% 194.58/31.75  | | | | | | | | | | | | |            (83), (112), (126), (127), (159) are inconsistent
% 194.58/31.75  | | | | | | | | | | | | |            by sub-proof #188.
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | |   (160)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.58/31.75  | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.58/31.75  | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.58/31.75  | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.58/31.75  | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.58/31.75  | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.58/31.75  | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.58/31.75  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.58/31.75  | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.58/31.75  | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.58/31.75  | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.58/31.75  | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.58/31.75  | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.58/31.75  | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.58/31.75  | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.58/31.75  | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.58/31.75  | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.58/31.75  | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.58/31.75  | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.58/31.75  | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.58/31.75  | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.58/31.75  | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.58/31.75  | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.58/31.75  | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.58/31.75  | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.75  | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | BETA: splitting (160) gives:
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | |   (161)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.58/31.75  | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.58/31.75  | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.58/31.75  | | | | | | | | | | | | | |          $i(all_57_13)
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | ALPHA: (161) implies:
% 194.58/31.75  | | | | | | | | | | | | | |   (162)  op(e2, e0) = e2
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (38), (162) are inconsistent by
% 194.58/31.75  | | | | | | | | | | | | | |            sub-proof #1662.
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | |   (163)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.58/31.75  | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 194.58/31.75  | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 194.58/31.75  | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.58/31.75  | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.58/31.75  | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.58/31.75  | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.58/31.75  | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 194.58/31.75  | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.58/31.75  | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 194.58/31.75  | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.58/31.75  | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.58/31.75  | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.58/31.75  | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.58/31.75  | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.58/31.75  | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.58/31.75  | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.58/31.75  | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.58/31.75  | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.58/31.75  | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.58/31.75  | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.58/31.75  | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.58/31.75  | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.58/31.75  | | | | | | | | | | | | | |                & $i(all_57_7))))
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | |   (164)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.58/31.75  | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.58/31.75  | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 194.58/31.75  | | | | | | | | | | | | | | |   (165)   ~ (all_57_14 = e0)
% 194.58/31.75  | | | | | | | | | | | | | | |   (166)  op(e1, e1) = all_57_14
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | REF_CLOSE: (22), (50), (165), (166) are inconsistent by
% 194.58/31.75  | | | | | | | | | | | | | | |            sub-proof #1636.
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | |   (167)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.75  | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.75  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.58/31.75  | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.58/31.75  | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.58/31.75  | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.58/31.75  | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.58/31.75  | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.58/31.75  | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.58/31.75  | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.58/31.75  | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.58/31.75  | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.58/31.75  | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.58/31.75  | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.58/31.75  | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.58/31.75  | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.58/31.75  | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.58/31.75  | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.58/31.75  | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | ALPHA: (167) implies:
% 194.58/31.75  | | | | | | | | | | | | | | |   (168)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.75  | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.58/31.75  | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.58/31.75  | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.58/31.75  | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.58/31.75  | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.58/31.75  | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.58/31.75  | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.58/31.75  | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.58/31.75  | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.58/31.75  | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.58/31.75  | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.58/31.75  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.58/31.75  | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.75  | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.58/31.75  | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | |   (169)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.75  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.58/31.75  | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.58/31.75  | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.58/31.75  | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.58/31.75  | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.58/31.75  | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.58/31.75  | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.58/31.75  | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 194.58/31.75  | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | |   (170)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.75  | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.58/31.75  | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | | ALPHA: (170) implies:
% 194.58/31.75  | | | | | | | | | | | | | | | | |   (171)  op(e0, e3) = e0
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (36), (66), (171) are inconsistent by
% 194.58/31.75  | | | | | | | | | | | | | | | | |            sub-proof #1935.
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | |   (172)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.58/31.75  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.58/31.75  | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 194.58/31.75  | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.58/31.75  | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 194.58/31.75  | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (36), (66), (79), (123), (172) are
% 194.58/31.75  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #386.
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | |   (173)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.58/31.75  | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.58/31.75  | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.58/31.75  | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.58/31.75  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.58/31.75  | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.75  | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.58/31.75  | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.58/31.75  | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 194.58/31.75  | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | |   (174)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.58/31.75  | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.58/31.75  | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 194.58/31.75  | | | | | | | | | | | | | | | | |   (175)  op(e0, e2) = e0
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (79), (123), (175) are inconsistent by
% 194.58/31.75  | | | | | | | | | | | | | | | | |            sub-proof #423.
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | |   (176)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 194.58/31.75  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 194.58/31.75  | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.58/31.75  | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 194.58/31.75  | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.58/31.75  | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.58/31.75  | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (45), (46), (50), (65), (75), (79),
% 194.58/31.75  | | | | | | | | | | | | | | | | |            (83), (168), (176) are inconsistent by sub-proof
% 194.58/31.75  | | | | | | | | | | | | | | | | |            #1632.
% 194.58/31.75  | | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | End of split
% 194.58/31.75  | | | | | | | | 
% 194.58/31.75  | | | | | | | Case 2:
% 194.58/31.75  | | | | | | | | 
% 194.58/31.75  | | | | | | | |   (177)  all_56_7 = e2 & op(e1, e2) = e2
% 194.58/31.75  | | | | | | | | 
% 194.58/31.75  | | | | | | | | ALPHA: (177) implies:
% 194.58/31.75  | | | | | | | |   (178)  op(e1, e2) = e2
% 194.58/31.75  | | | | | | | | 
% 194.58/31.75  | | | | | | | | REF_CLOSE: (7), (22), (121), (178) are inconsistent by sub-proof
% 194.58/31.75  | | | | | | | |            #429.
% 194.58/31.75  | | | | | | | | 
% 194.58/31.75  | | | | | | | End of split
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | Case 2:
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | |   (179)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 194.58/31.75  | | | | | | |            op(e1, e0) = e2)
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | | REF_CLOSE: (21), (22), (44), (50), (79), (179) are inconsistent by
% 194.58/31.75  | | | | | | |            sub-proof #907.
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | End of split
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | Case 2:
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | |   (180)  all_54_13 = e1 | all_54_13 = e0
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | | REF_CLOSE: (86), (97), (108), (180) are inconsistent by sub-proof
% 194.58/31.75  | | | | | |            #187.
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | End of split
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | End of split
% 194.58/31.75  | | | | 
% 194.58/31.75  | | | Case 2:
% 194.58/31.75  | | | | 
% 194.58/31.75  | | | |   (181)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 194.58/31.75  | | | |                e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 194.58/31.75  | | | |          ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 194.58/31.75  | | | |                e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 194.58/31.75  | | | | 
% 194.58/31.75  | | | | ALPHA: (181) implies:
% 194.58/31.75  | | | |   (182)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 194.58/31.75  | | | |              e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.58/31.75  | | | | 
% 194.58/31.75  | | | | BETA: splitting (182) gives:
% 194.58/31.75  | | | | 
% 194.58/31.75  | | | | Case 1:
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | |   (183)  all_56_12 = e0 & op(e0, e3) = e0
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | | ALPHA: (183) implies:
% 194.58/31.75  | | | | |   (184)  op(e0, e3) = e0
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | | REF_CLOSE: (22), (36), (66), (184) are inconsistent by sub-proof
% 194.58/31.75  | | | | |            #1935.
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | Case 2:
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | |   (185)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 194.58/31.75  | | | | |              e1) = e0)
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | | BETA: splitting (185) gives:
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | | Case 1:
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | |   (186)  all_56_13 = e0 & op(e0, e2) = e0
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | | ALPHA: (186) implies:
% 194.58/31.75  | | | | | |   (187)  op(e0, e2) = e0
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | | REF_CLOSE: (22), (86), (90), (103), (187) are inconsistent by
% 194.58/31.75  | | | | | |            sub-proof #186.
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | Case 2:
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | |   (188)  all_56_14 = e0 & op(e0, e1) = e0
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | | ALPHA: (188) implies:
% 194.58/31.75  | | | | | |   (189)  op(e0, e1) = e0
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | | REF_CLOSE: (22), (45), (65), (189) are inconsistent by sub-proof
% 194.58/31.75  | | | | | |            #1931.
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | End of split
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | End of split
% 194.58/31.75  | | | | 
% 194.58/31.75  | | | End of split
% 194.58/31.75  | | | 
% 194.58/31.75  | | Case 2:
% 194.58/31.75  | | | 
% 194.58/31.75  | | |   (190)   ~ (all_40_1 = e0) & op(e2, e3) = all_40_1 & $i(all_40_1)
% 194.58/31.75  | | | 
% 194.58/31.75  | | | ALPHA: (190) implies:
% 194.58/31.75  | | |   (191)   ~ (all_40_1 = e0)
% 194.58/31.75  | | |   (192)  op(e2, e3) = all_40_1
% 194.58/31.75  | | | 
% 194.58/31.75  | | | GROUND_INST: instantiating (22) with e0, all_40_1, e3, e2, simplifying
% 194.58/31.75  | | |              with (8), (192) gives:
% 194.58/31.75  | | |   (193)  all_40_1 = e0
% 194.58/31.75  | | | 
% 194.58/31.75  | | | REDUCE: (191), (193) imply:
% 194.58/31.75  | | |   (194)  $false
% 194.58/31.75  | | | 
% 194.58/31.75  | | | CLOSE: (194) is inconsistent.
% 194.58/31.75  | | | 
% 194.58/31.75  | | End of split
% 194.58/31.75  | | 
% 194.58/31.75  | Case 2:
% 194.58/31.75  | | 
% 194.58/31.75  | |   (195)   ~ (all_4_1 = e1) & op(e2, e3) = all_4_1 & $i(all_4_1)
% 194.58/31.75  | | 
% 194.58/31.75  | | ALPHA: (195) implies:
% 194.58/31.75  | |   (196)   ~ (all_4_1 = e1)
% 194.58/31.75  | |   (197)  op(e2, e3) = all_4_1
% 194.58/31.75  | | 
% 194.58/31.75  | | GROUND_INST: instantiating (22) with e0, all_4_1, e3, e2, simplifying with
% 194.58/31.75  | |              (8), (197) gives:
% 194.58/31.75  | |   (198)  all_4_1 = e0
% 194.58/31.75  | | 
% 194.58/31.75  | | REDUCE: (196), (198) imply:
% 194.58/31.75  | |   (199)   ~ (e1 = e0)
% 194.58/31.75  | | 
% 194.58/31.75  | | SIMP: (199) implies:
% 194.58/31.75  | |   (200)   ~ (e1 = e0)
% 194.58/31.75  | | 
% 194.58/31.75  | | BETA: splitting (84) gives:
% 194.58/31.75  | | 
% 194.58/31.75  | | Case 1:
% 194.58/31.75  | | | 
% 194.58/31.75  | | |   (201)   ~ (all_40_0 = e1) & op(all_40_1, e2) = all_40_0 & op(e2, e3) =
% 194.58/31.75  | | |          all_40_1 & $i(all_40_0) & $i(all_40_1)
% 194.58/31.75  | | | 
% 194.58/31.75  | | | ALPHA: (201) implies:
% 194.58/31.75  | | |   (202)   ~ (all_40_0 = e1)
% 194.58/31.75  | | |   (203)  op(e2, e3) = all_40_1
% 194.58/31.75  | | |   (204)  op(all_40_1, e2) = all_40_0
% 194.58/31.75  | | | 
% 194.58/31.75  | | | GROUND_INST: instantiating (22) with e0, all_40_1, e3, e2, simplifying
% 194.58/31.75  | | |              with (8), (203) gives:
% 194.58/31.75  | | |   (205)  all_40_1 = e0
% 194.58/31.75  | | | 
% 194.58/31.75  | | | REDUCE: (204), (205) imply:
% 194.58/31.75  | | |   (206)  op(e0, e2) = all_40_0
% 194.58/31.75  | | | 
% 194.58/31.75  | | | GROUND_INST: instantiating (22) with all_52_7, all_40_0, e2, e0,
% 194.58/31.75  | | |              simplifying with (78), (206) gives:
% 194.58/31.75  | | |   (207)  all_52_7 = all_40_0
% 194.58/31.75  | | | 
% 194.58/31.75  | | | BETA: splitting (35) gives:
% 194.58/31.75  | | | 
% 194.58/31.75  | | | Case 1:
% 194.58/31.75  | | | | 
% 194.58/31.75  | | | |   (208)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0,
% 194.58/31.75  | | | |              e2) = e1)
% 194.58/31.75  | | | | 
% 194.58/31.75  | | | | BETA: splitting (208) gives:
% 194.58/31.75  | | | | 
% 194.58/31.75  | | | | Case 1:
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | |   (209)  all_56_12 = e1 & op(e0, e3) = e1
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | | ALPHA: (209) implies:
% 194.58/31.75  | | | | |   (210)  all_56_12 = e1
% 194.58/31.75  | | | | |   (211)  op(e0, e3) = e1
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | | BETA: splitting (1) gives:
% 194.58/31.75  | | | | | 
% 194.58/31.75  | | | | | Case 1:
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | |   (212)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2,
% 194.58/31.75  | | | | | |              e2) = e1)
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | | BETA: splitting (212) gives:
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | | Case 1:
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | |   (213)  all_56_1 = e1 & op(e3, e2) = e1
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | | REF_CLOSE: (18), (22), (25), (33), (68), (82), (213) are
% 194.58/31.75  | | | | | | |            inconsistent by sub-proof #1388.
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | Case 2:
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | |   (214)  all_56_3 = e1 & op(e2, e2) = e1
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | | ALPHA: (214) implies:
% 194.58/31.75  | | | | | | |   (215)  op(e2, e2) = e1
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | | REF_CLOSE: (6), (22), (31), (38), (51), (71), (74), (75), (83),
% 194.58/31.75  | | | | | | |            (215) are inconsistent by sub-proof #581.
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | End of split
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | Case 2:
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | |   (216)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 &
% 194.58/31.75  | | | | | |            op(e0, e2) = e1)
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | | BETA: splitting (216) gives:
% 194.58/31.75  | | | | | | 
% 194.58/31.75  | | | | | | Case 1:
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | |   (217)  all_56_7 = e1 & op(e1, e2) = e1
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | | ALPHA: (217) implies:
% 194.58/31.75  | | | | | | |   (218)  op(e1, e2) = e1
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | | BETA: splitting (76) gives:
% 194.58/31.75  | | | | | | | 
% 194.58/31.75  | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | 
% 194.58/31.75  | | | | | | | |   (219)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 &
% 194.58/31.75  | | | | | | | |            op(e1, e2) = e2)
% 194.58/31.75  | | | | | | | | 
% 194.58/31.75  | | | | | | | | BETA: splitting (219) gives:
% 194.58/31.75  | | | | | | | | 
% 194.58/31.75  | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | |   (220)  all_56_6 = e2 & op(e1, e3) = e2
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | ALPHA: (220) implies:
% 194.58/31.75  | | | | | | | | |   (221)  all_56_6 = e2
% 194.58/31.75  | | | | | | | | |   (222)  op(e1, e3) = e2
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | GROUND_INST: instantiating (22) with all_52_3, e1, e3, e0,
% 194.58/31.75  | | | | | | | | |              simplifying with (36), (211) gives:
% 194.58/31.75  | | | | | | | | |   (223)  all_52_3 = e1
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | GROUND_INST: instantiating (22) with all_52_6, e1, e2, e1,
% 194.58/31.75  | | | | | | | | |              simplifying with (7), (218) gives:
% 194.58/31.75  | | | | | | | | |   (224)  all_52_6 = e1
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | GROUND_INST: instantiating (22) with all_52_2, e2, e3, e1,
% 194.58/31.75  | | | | | | | | |              simplifying with (3), (222) gives:
% 194.58/31.75  | | | | | | | | |   (225)  all_52_2 = e2
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | REDUCE: (48), (225) imply:
% 194.58/31.75  | | | | | | | | |   (226)   ~ (e3 = e2)
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | REDUCE: (23), (223) imply:
% 194.58/31.75  | | | | | | | | |   (227)   ~ (all_14_2 = e1)
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | REDUCE: (56), (224) imply:
% 194.58/31.75  | | | | | | | | |   (228)   ~ (e3 = e1)
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | BETA: splitting (41) gives:
% 194.58/31.75  | | | | | | | | | 
% 194.58/31.75  | | | | | | | | | Case 1:
% 194.58/31.75  | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | |   (229)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.58/31.76  | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.76  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.58/31.76  | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 194.58/31.76  | | | | | | | | | |          (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.58/31.76  | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.76  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.58/31.76  | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 194.58/31.76  | | | | | | | | | |          (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.76  | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.76  | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.58/31.76  | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.58/31.76  | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.58/31.76  | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0,
% 194.58/31.76  | | | | | | | | | |              e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 194.58/31.76  | | | | | | | | | |            & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 =
% 194.58/31.76  | | | | | | | | | |            e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 = e2) &
% 194.58/31.76  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1,
% 194.58/31.76  | | | | | | | | | |              e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4)
% 194.58/31.76  | | | | | | | | | |            & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 =
% 194.58/31.76  | | | | | | | | | |            e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.58/31.76  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0,
% 194.58/31.76  | | | | | | | | | |              e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 194.58/31.76  | | | | | | | | | |            & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 =
% 194.58/31.76  | | | | | | | | | |            e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 194.58/31.76  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 194.58/31.76  | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.76  | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.58/31.76  | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.58/31.76  | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 194.58/31.76  | | | | | | | | | |            all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 194.58/31.76  | | | | | | | | | |            e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 194.58/31.76  | | | | | | | | | |            e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.76  | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.58/31.76  | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.76  | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.58/31.76  | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | BETA: splitting (229) gives:
% 194.58/31.76  | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | |   (230)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.58/31.76  | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.76  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.58/31.76  | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.58/31.76  | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.58/31.76  | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.76  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.58/31.76  | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.58/31.76  | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.76  | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.76  | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.58/31.76  | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.58/31.76  | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.58/31.76  | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.76  | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.76  | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.58/31.76  | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | BETA: splitting (230) gives:
% 194.58/31.76  | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | |   (231)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.58/31.76  | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.76  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.58/31.76  | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.58/31.76  | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.58/31.76  | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.58/31.76  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.58/31.76  | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | REF_CLOSE: (22), (62), (80), (231) are inconsistent by
% 194.58/31.76  | | | | | | | | | | | |            sub-proof #1784.
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | |   (232)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.58/31.76  | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.58/31.76  | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.58/31.76  | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.58/31.76  | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.58/31.76  | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.76  | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.58/31.76  | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | REF_CLOSE: (3), (7), (22), (60), (218), (232) are
% 194.58/31.76  | | | | | | | | | | | |            inconsistent by sub-proof #184.
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | End of split
% 194.58/31.76  | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | |   (233)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.58/31.76  | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.58/31.76  | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.58/31.76  | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.58/31.76  | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.58/31.76  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.58/31.76  | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.76  | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 194.58/31.76  | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.58/31.76  | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.58/31.76  | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 194.58/31.76  | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.58/31.76  | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.58/31.76  | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.58/31.76  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.58/31.76  | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 194.58/31.76  | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.58/31.76  | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.58/31.76  | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.58/31.76  | | | | | | | | | | |            $i(all_57_10))
% 194.58/31.76  | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | BETA: splitting (233) gives:
% 194.58/31.76  | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | |   (234)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.58/31.76  | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.58/31.76  | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.58/31.76  | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.58/31.76  | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.58/31.76  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.58/31.76  | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.76  | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | REF_CLOSE: (2), (22), (25), (218), (234) are inconsistent by
% 194.58/31.76  | | | | | | | | | | | |            sub-proof #183.
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | |   (235)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.58/31.76  | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 194.58/31.76  | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 194.58/31.76  | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 194.58/31.76  | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 194.58/31.76  | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 194.58/31.76  | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.58/31.76  | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.58/31.76  | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 194.58/31.76  | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.58/31.76  | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.58/31.76  | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.58/31.76  | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | BETA: splitting (235) gives:
% 194.58/31.76  | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | |   (236)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.58/31.76  | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 194.58/31.76  | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 194.58/31.76  | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 194.58/31.76  | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | ALPHA: (236) implies:
% 194.58/31.76  | | | | | | | | | | | | |   (237)  op(e3, e3) = e2
% 194.58/31.76  | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | REF_CLOSE: (21), (22), (46), (237) are inconsistent by
% 194.58/31.76  | | | | | | | | | | | | |            sub-proof #1957.
% 194.58/31.76  | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | |   (238)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.58/31.76  | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.58/31.76  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.58/31.76  | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 194.58/31.76  | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.58/31.76  | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.58/31.76  | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.58/31.76  | | | | | | | | | | | | |            $i(all_57_10))
% 194.58/31.76  | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.58/31.76  | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | |   (239)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.58/31.76  | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.58/31.76  | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.58/31.76  | | | | | | | | | | | | | |          op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 194.58/31.76  | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | ALPHA: (239) implies:
% 194.58/31.76  | | | | | | | | | | | | | |   (240)   ~ (all_57_14 = e2)
% 194.58/31.76  | | | | | | | | | | | | | |   (241)   ~ (all_57_5 = e0)
% 194.58/31.76  | | | | | | | | | | | | | |   (242)  op(e0, e0) = e2
% 194.58/31.76  | | | | | | | | | | | | | |   (243)  op(e0, e2) = all_57_5
% 194.58/31.76  | | | | | | | | | | | | | |   (244)  op(e1, e1) = all_57_14
% 194.58/31.76  | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 194.58/31.76  | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | |   (245)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.58/31.76  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.58/31.76  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.58/31.76  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.58/31.76  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.58/31.76  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.58/31.76  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.58/31.76  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.58/31.76  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.76  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.58/31.76  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.58/31.76  | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.58/31.76  | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.58/31.76  | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.58/31.76  | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.58/31.76  | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.58/31.76  | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.58/31.76  | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 194.58/31.76  | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | |   (246)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.58/31.76  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.58/31.76  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.58/31.76  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.58/31.76  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.58/31.76  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.58/31.76  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.58/31.76  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.58/31.76  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | |   (247)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.58/31.76  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (248)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (249)  op(e3, e2) = e3
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (22), (25), (249) are inconsistent by
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            sub-proof #1972.
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (250)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (251)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10), (11), (13), (16), (21), (22),
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            (26), (28), (35), (36), (37), (40), (45), (49),
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            (50), (52), (63), (64), (65), (66), (67), (75),
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            (79), (83), (200), (218), (240), (241), (242),
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            (243), (244), (251) are inconsistent by sub-proof
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            #182.
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | End of split
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | |   (252)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.58/31.76  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (253)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (254)  op(e3, e3) = e1
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (46), (75), (254) are inconsistent by
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (255)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (256)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10), (11), (13), (16), (21), (22),
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            (26), (28), (35), (36), (37), (40), (45), (49),
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            (50), (52), (63), (64), (65), (66), (67), (75),
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            (79), (83), (200), (218), (240), (241), (242),
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            (243), (244), (256) are inconsistent by sub-proof
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            #182.
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | End of split
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | End of split
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | |   (257)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.76  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.58/31.76  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.58/31.76  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.58/31.76  | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.58/31.76  | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.58/31.76  | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.58/31.76  | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.58/31.76  | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | |   (258)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.58/31.76  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19), (21), (22), (36), (57), (64), (66),
% 194.58/31.76  | | | | | | | | | | | | | | | | |            (71), (75), (83), (200), (221), (222), (258) are
% 194.58/31.76  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | |   (259)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.58/31.76  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (22), (31), (38), (51), (64), (71), (74),
% 194.58/31.76  | | | | | | | | | | | | | | | | |            (75), (81), (83), (259) are inconsistent by
% 194.58/31.76  | | | | | | | | | | | | | | | | |            sub-proof #180.
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | End of split
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | End of split
% 194.58/31.76  | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | |   (260)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.76  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.58/31.76  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.58/31.76  | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.58/31.76  | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.76  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.58/31.76  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.58/31.76  | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.58/31.76  | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.58/31.76  | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.58/31.76  | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.58/31.76  | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.58/31.76  | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.58/31.76  | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.58/31.76  | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.76  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.58/31.76  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.58/31.76  | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.58/31.76  | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.58/31.76  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.58/31.76  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.76  | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.58/31.76  | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.58/31.76  | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.58/31.76  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.58/31.76  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.58/31.76  | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 194.58/31.76  | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | |   (261)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.76  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.58/31.76  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.58/31.76  | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.58/31.76  | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.76  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.58/31.76  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.58/31.76  | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.58/31.76  | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.58/31.76  | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | |   (262)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.58/31.76  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (38), (241), (243), (262) are
% 194.58/31.76  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1515.
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | |   (263)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.58/31.76  | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.58/31.76  | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.58/31.76  | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.58/31.76  | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | Case 1:
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (264)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (265)  op(e0, e1) = e1
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (22), (45), (55), (68), (82), (265) are
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #296.
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (266)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.58/31.76  | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | ALPHA: (266) implies:
% 194.58/31.76  | | | | | | | | | | | | | | | | | |   (267)  op(e1, e0) = e0
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (22), (39), (267) are inconsistent by
% 194.58/31.76  | | | | | | | | | | | | | | | | | |            sub-proof #1884.
% 194.58/31.76  | | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | | End of split
% 194.58/31.76  | | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | | End of split
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.76  | | | | | | | | | | | | | | | Case 2:
% 194.58/31.76  | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | |   (268)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.58/31.77  | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.58/31.77  | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.58/31.77  | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.58/31.77  | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.58/31.77  | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.58/31.77  | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.58/31.77  | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.58/31.77  | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.77  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.77  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.58/31.77  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.58/31.77  | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.58/31.77  | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.58/31.77  | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.58/31.77  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.58/31.77  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.58/31.77  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.58/31.77  | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.58/31.77  | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.58/31.77  | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.58/31.77  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.58/31.77  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.58/31.77  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.58/31.77  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.58/31.77  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.58/31.77  | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 194.58/31.77  | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | Case 1:
% 194.58/31.77  | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | |   (269)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.58/31.77  | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.58/31.77  | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.58/31.77  | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.58/31.77  | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.58/31.77  | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.58/31.77  | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.58/31.77  | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.58/31.77  | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.77  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.77  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.58/31.77  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 194.58/31.77  | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 194.58/31.77  | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | | Case 1:
% 194.58/31.77  | | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | | |   (270)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.58/31.77  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.58/31.77  | | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | | | ALPHA: (270) implies:
% 194.58/31.77  | | | | | | | | | | | | | | | | | |   (271)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 194.58/31.77  | | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10), (11), (13), (16), (21), (22),
% 194.58/31.77  | | | | | | | | | | | | | | | | | |            (26), (28), (35), (36), (37), (40), (45), (49),
% 194.58/31.77  | | | | | | | | | | | | | | | | | |            (50), (52), (63), (64), (65), (66), (67), (75),
% 194.58/31.77  | | | | | | | | | | | | | | | | | |            (79), (83), (200), (218), (240), (241), (242),
% 194.58/31.77  | | | | | | | | | | | | | | | | | |            (243), (244), (271) are inconsistent by sub-proof
% 194.58/31.77  | | | | | | | | | | | | | | | | | |            #182.
% 194.58/31.77  | | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | | Case 2:
% 194.58/31.77  | | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | | |   (272)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.58/31.77  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.58/31.77  | | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | | | ALPHA: (272) implies:
% 194.58/31.77  | | | | | | | | | | | | | | | | | |   (273)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 194.58/31.77  | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 194.58/31.77  | | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (218), (240), (273) are inconsistent by
% 194.58/31.77  | | | | | | | | | | | | | | | | | |            sub-proof #532.
% 194.58/31.77  | | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | | End of split
% 194.58/31.77  | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | Case 2:
% 194.58/31.77  | | | | | | | | | | | | | | | | | 
% 194.58/31.77  | | | | | | | | | | | | | | | | |   (274)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.58/31.77  | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.58/31.77  | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.58/31.77  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.58/31.77  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.58/31.77  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.58/31.77  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.70/31.77  | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.70/31.77  | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.70/31.77  | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.70/31.77  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.70/31.77  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.70/31.77  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.70/31.77  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.70/31.77  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (50), (79), (200), (242), (274) are
% 194.70/31.77  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1433.
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | |   (275)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.70/31.77  | | | | | | | | | | | | | |            e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.70/31.77  | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.70/31.77  | | | | | | | | | | | | | |          $i(all_57_10)
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | ALPHA: (275) implies:
% 194.70/31.77  | | | | | | | | | | | | | |   (276)  op(e2, e2) = e1
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | REF_CLOSE: (6), (22), (31), (38), (51), (71), (74), (75),
% 194.70/31.77  | | | | | | | | | | | | | |            (83), (276) are inconsistent by sub-proof #581.
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | |   (277)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.70/31.77  | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.70/31.77  | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.70/31.77  | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.70/31.77  | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.70/31.77  | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.70/31.77  | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.70/31.77  | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.70/31.77  | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.70/31.77  | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.70/31.77  | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.70/31.77  | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.70/31.77  | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.70/31.77  | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.70/31.77  | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.70/31.77  | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.70/31.77  | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.70/31.77  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 194.70/31.77  | | | | | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 &
% 194.70/31.77  | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 194.70/31.77  | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.70/31.77  | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 194.70/31.77  | | | | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) =
% 194.70/31.77  | | | | | | | | | |            e2 & $i(all_57_9) & $i(all_57_12)) | (all_57_10 =
% 194.70/31.77  | | | | | | | | | |            e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 194.70/31.77  | | | | | | | | | |            (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 194.70/31.77  | | | | | | | | | |            all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 194.70/31.77  | | | | | | | | | |            e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 =
% 194.70/31.77  | | | | | | | | | |            e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 194.70/31.77  | | | | | | | | | |            (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 194.70/31.77  | | | | | | | | | |            op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 194.70/31.77  | | | | | | | | | |            all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 194.70/31.77  | | | | | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.70/31.77  | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.70/31.77  | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.70/31.77  | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14))
% 194.70/31.77  | | | | | | | | | |          | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.70/31.77  | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.70/31.77  | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.70/31.77  | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 194.70/31.77  | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.70/31.77  | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.70/31.77  | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.70/31.77  | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.70/31.77  | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.70/31.77  | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.70/31.77  | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.70/31.77  | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.70/31.77  | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.70/31.77  | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.70/31.77  | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.70/31.77  | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.70/31.77  | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.70/31.77  | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | BETA: splitting (277) gives:
% 194.70/31.77  | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | |   (278)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.70/31.77  | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.70/31.77  | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.70/31.77  | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.70/31.77  | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.70/31.77  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.70/31.77  | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.70/31.77  | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.70/31.77  | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.70/31.77  | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.70/31.77  | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.70/31.77  | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.70/31.77  | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.70/31.77  | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.70/31.77  | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.70/31.77  | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.70/31.77  | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.70/31.77  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.70/31.77  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.70/31.77  | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | REF_CLOSE: (11), (13), (22), (46), (47), (70), (75), (278)
% 194.70/31.77  | | | | | | | | | | |            are inconsistent by sub-proof #1962.
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | |   (279)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.70/31.77  | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.70/31.77  | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.70/31.77  | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.70/31.77  | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.70/31.77  | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.70/31.77  | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.70/31.77  | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.70/31.77  | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 194.70/31.77  | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 194.70/31.77  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.70/31.77  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.70/31.77  | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 194.70/31.77  | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.70/31.77  | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 194.70/31.77  | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 194.70/31.77  | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 194.70/31.77  | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.70/31.77  | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 194.70/31.77  | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.70/31.77  | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 194.70/31.77  | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.70/31.77  | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.70/31.77  | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.70/31.77  | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.70/31.77  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.70/31.77  | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.70/31.77  | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.70/31.77  | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.70/31.77  | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.70/31.77  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.70/31.77  | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.70/31.77  | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.70/31.77  | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | BETA: splitting (279) gives:
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | |   (280)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.70/31.77  | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.70/31.77  | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.70/31.77  | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.70/31.77  | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.70/31.77  | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.70/31.77  | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.70/31.77  | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.70/31.77  | | | | | | | | | | | |            $i(all_57_14))
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | REF_CLOSE: (8), (19), (21), (22), (57), (64), (71), (75),
% 194.70/31.77  | | | | | | | | | | | |            (83), (200), (221), (222), (280) are inconsistent
% 194.70/31.77  | | | | | | | | | | | |            by sub-proof #188.
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | |   (281)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.70/31.77  | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.70/31.77  | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.70/31.77  | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.70/31.77  | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.70/31.77  | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.70/31.77  | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.70/31.77  | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.70/31.77  | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.70/31.77  | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.70/31.77  | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.70/31.77  | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.70/31.77  | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.70/31.77  | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.70/31.77  | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.70/31.77  | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.70/31.77  | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.70/31.77  | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.70/31.77  | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.70/31.77  | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.70/31.77  | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.70/31.77  | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.70/31.77  | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.70/31.77  | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.70/31.77  | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.70/31.77  | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.70/31.77  | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | BETA: splitting (281) gives:
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | |   (282)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.70/31.77  | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.70/31.77  | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.70/31.77  | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.70/31.77  | | | | | | | | | | | | |          $i(all_57_13)
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | ALPHA: (282) implies:
% 194.70/31.77  | | | | | | | | | | | | |   (283)  op(e2, e0) = e2
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | REF_CLOSE: (20), (22), (38), (283) are inconsistent by
% 194.70/31.77  | | | | | | | | | | | | |            sub-proof #1662.
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | |   (284)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.70/31.77  | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.70/31.77  | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 194.70/31.77  | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 194.70/31.77  | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.70/31.77  | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.70/31.77  | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.70/31.77  | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.70/31.77  | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 194.70/31.77  | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.70/31.77  | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 194.70/31.77  | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.70/31.77  | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.70/31.77  | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.70/31.77  | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.70/31.77  | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.70/31.77  | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.70/31.77  | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.70/31.77  | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.70/31.77  | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.70/31.77  | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.70/31.77  | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.70/31.77  | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.70/31.77  | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.70/31.77  | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.70/31.77  | | | | | | | | | | | | |                & $i(all_57_7))))
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | BETA: splitting (284) gives:
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | |   (285)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.70/31.77  | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.70/31.77  | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | ALPHA: (285) implies:
% 194.70/31.77  | | | | | | | | | | | | | |   (286)   ~ (all_57_14 = e0)
% 194.70/31.77  | | | | | | | | | | | | | |   (287)  op(e1, e1) = all_57_14
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | REF_CLOSE: (22), (50), (286), (287) are inconsistent by
% 194.70/31.77  | | | | | | | | | | | | | |            sub-proof #1636.
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | |   (288)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.70/31.77  | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.70/31.77  | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.70/31.77  | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.70/31.77  | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.70/31.77  | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.70/31.77  | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.70/31.77  | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.70/31.77  | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.70/31.77  | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.70/31.77  | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.70/31.77  | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.70/31.77  | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.70/31.77  | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.70/31.77  | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.70/31.77  | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.70/31.77  | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.70/31.77  | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.70/31.77  | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | ALPHA: (288) implies:
% 194.70/31.77  | | | | | | | | | | | | | |   (289)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.70/31.77  | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.70/31.77  | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.70/31.77  | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.70/31.77  | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.70/31.77  | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.70/31.77  | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.70/31.77  | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.70/31.77  | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.70/31.77  | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.70/31.77  | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.70/31.77  | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.70/31.77  | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.70/31.77  | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.70/31.77  | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.70/31.77  | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.70/31.77  | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.70/31.77  | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | |   (290)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.70/31.77  | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.70/31.77  | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.70/31.77  | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.70/31.77  | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.70/31.77  | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.70/31.77  | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.70/31.77  | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.70/31.77  | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | |   (291)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.70/31.77  | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.70/31.77  | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | | | |          $i(all_57_0)
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 194.70/31.77  | | | | | | | | | | | | | | | |   (292)  op(e0, e3) = e0
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | REF_CLOSE: (22), (36), (66), (292) are inconsistent by
% 194.70/31.77  | | | | | | | | | | | | | | | |            sub-proof #1935.
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | |   (293)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.70/31.77  | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.70/31.77  | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 194.70/31.77  | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.70/31.77  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 194.70/31.77  | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (36), (46), (66), (293) are
% 194.70/31.77  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1311.
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | |   (294)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.70/31.77  | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.70/31.77  | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.70/31.77  | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.70/31.77  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.70/31.77  | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.70/31.77  | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.70/31.77  | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.70/31.77  | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | |   (295)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.70/31.77  | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.70/31.77  | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | | | |          $i(all_57_4)
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 194.70/31.77  | | | | | | | | | | | | | | | |   (296)   ~ (all_57_4 = e1)
% 194.70/31.77  | | | | | | | | | | | | | | | |   (297)  op(e1, e2) = all_57_4
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | REF_CLOSE: (22), (218), (296), (297) are inconsistent by
% 194.70/31.77  | | | | | | | | | | | | | | | |            sub-proof #1303.
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | |   (298)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 194.70/31.77  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 194.70/31.77  | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.70/31.77  | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 194.70/31.77  | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.70/31.77  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.70/31.77  | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (45), (46), (50), (65), (75), (79),
% 194.70/31.77  | | | | | | | | | | | | | | | |            (83), (289), (298) are inconsistent by sub-proof
% 194.70/31.77  | | | | | | | | | | | | | | | |            #1632.
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | 
% 194.70/31.77  | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | 
% 194.70/31.77  | | | | | | | | |   (299)  all_56_7 = e2 & op(e1, e2) = e2
% 194.70/31.77  | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | ALPHA: (299) implies:
% 194.70/31.77  | | | | | | | | |   (300)  op(e1, e2) = e2
% 194.70/31.77  | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | REF_CLOSE: (22), (64), (218), (300) are inconsistent by
% 194.70/31.77  | | | | | | | | |            sub-proof #784.
% 194.70/31.77  | | | | | | | | | 
% 194.70/31.77  | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | 
% 194.70/31.77  | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | 
% 194.70/31.77  | | | | | | | |   (301)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 194.70/31.77  | | | | | | | |            op(e1, e0) = e2)
% 194.70/31.77  | | | | | | | | 
% 194.70/31.77  | | | | | | | | REF_CLOSE: (21), (22), (44), (50), (79), (301) are inconsistent
% 194.70/31.77  | | | | | | | |            by sub-proof #907.
% 194.70/31.77  | | | | | | | | 
% 194.70/31.77  | | | | | | | End of split
% 194.70/31.77  | | | | | | | 
% 194.70/31.77  | | | | | | Case 2:
% 194.70/31.77  | | | | | | | 
% 194.70/31.77  | | | | | | |   (302)  all_56_13 = e1 & op(e0, e2) = e1
% 194.70/31.77  | | | | | | | 
% 194.70/31.77  | | | | | | | ALPHA: (302) implies:
% 194.70/31.77  | | | | | | |   (303)  all_56_13 = e1
% 194.70/31.77  | | | | | | | 
% 194.70/31.77  | | | | | | | BETA: splitting (63) gives:
% 194.70/31.77  | | | | | | | 
% 194.70/31.77  | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | 
% 194.70/31.77  | | | | | | | |   (304)  all_56_15 = e0 & op(e0, e0) = e0
% 194.70/31.77  | | | | | | | | 
% 194.70/31.77  | | | | | | | | ALPHA: (304) implies:
% 194.70/31.77  | | | | | | | |   (305)  op(e0, e0) = e0
% 194.70/31.77  | | | | | | | | 
% 194.70/31.77  | | | | | | | | BETA: splitting (69) gives:
% 194.70/31.77  | | | | | | | | 
% 194.70/31.77  | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | 
% 194.70/31.77  | | | | | | | | |   (306)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 &
% 194.70/31.77  | | | | | | | | |            op(e2, e0) = e2)
% 194.70/31.77  | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | BETA: splitting (306) gives:
% 194.70/31.77  | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | |   (307)  all_56_9 = e2 & op(e3, e0) = e2
% 194.70/31.77  | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | ALPHA: (307) implies:
% 194.70/31.77  | | | | | | | | | |   (308)  all_56_9 = e2
% 194.70/31.77  | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | BETA: splitting (12) gives:
% 194.70/31.77  | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | |   (309)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 194.70/31.77  | | | | | | | | | | |            & op(e2, e3) = e2)
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | REF_CLOSE: (21), (22), (46), (62), (80), (309) are
% 194.70/31.77  | | | | | | | | | | |            inconsistent by sub-proof #179.
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | |   (310)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 194.70/31.77  | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | BETA: splitting (310) gives:
% 194.70/31.77  | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | |   (311)  all_56_6 = e2 & op(e1, e3) = e2
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | ALPHA: (311) implies:
% 194.70/31.77  | | | | | | | | | | | |   (312)  all_56_6 = e2
% 194.70/31.77  | | | | | | | | | | | |   (313)  op(e1, e3) = e2
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | BETA: splitting (54) gives:
% 194.70/31.77  | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | |   (314)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 194.70/31.77  | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | BETA: splitting (314) gives:
% 194.70/31.77  | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | |   (315)  all_56_0 = e0 & op(e3, e3) = e0
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | ALPHA: (315) implies:
% 194.70/31.77  | | | | | | | | | | | | | |   (316)  op(e3, e3) = e0
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | REF_CLOSE: (8), (19), (21), (22), (57), (64), (71), (75),
% 194.70/31.77  | | | | | | | | | | | | | |            (83), (200), (312), (313), (316) are inconsistent
% 194.70/31.77  | | | | | | | | | | | | | |            by sub-proof #400.
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | |   (317)  all_56_1 = e0 & op(e3, e2) = e0
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | ALPHA: (317) implies:
% 194.70/31.77  | | | | | | | | | | | | | |   (318)  all_56_1 = e0
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 194.70/31.77  | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | |   (319)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 194.70/31.77  | | | | | | | | | | | | | | |            & op(e1, e2) = e1)
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 194.70/31.77  | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | |   (320)  all_56_6 = e1 & op(e1, e3) = e1
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 194.70/31.77  | | | | | | | | | | | | | | | |   (321)  all_56_6 = e1
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | COMBINE_EQS: (312), (321) imply:
% 194.70/31.77  | | | | | | | | | | | | | | | |   (322)  e2 = e1
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | SIMP: (322) implies:
% 194.70/31.77  | | | | | | | | | | | | | | | |   (323)  e2 = e1
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | COMBINE_EQS: (308), (323) imply:
% 194.70/31.77  | | | | | | | | | | | | | | | |   (324)  all_56_9 = e1
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | |   (325)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | |   (326)  all_56_0 = e2 & op(e3, e3) = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | ALPHA: (326) implies:
% 194.70/31.77  | | | | | | | | | | | | | | | | | |   (327)  op(e3, e3) = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (46), (327) are inconsistent by
% 194.70/31.77  | | | | | | | | | | | | | | | | | |            sub-proof #1957.
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | |   (328)  all_56_1 = e2 & op(e3, e2) = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 194.70/31.77  | | | | | | | | | | | | | | | | | |   (329)  all_56_1 = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (329) imply:
% 194.70/31.77  | | | | | | | | | | | | | | | | | |   (330)  e2 = e0
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | REDUCE: (79), (330) imply:
% 194.70/31.77  | | | | | | | | | | | | | | | | | |   (331)  $false
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | CLOSE: (331) is inconsistent.
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | |   (332)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | |   (333)  all_56_4 = e2 & op(e3, e1) = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | ALPHA: (333) implies:
% 194.70/31.77  | | | | | | | | | | | | | | | | | |   (334)  all_56_4 = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (29), (49), (50), (64), (74), (75),
% 194.70/31.77  | | | | | | | | | | | | | | | | | |            (200), (334) are inconsistent by sub-proof #1752.
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (307), (324) are inconsistent by sub-proof
% 194.70/31.77  | | | | | | | | | | | | | | | | | |            #1873.
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | End of split
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | Case 2:
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | |   (335)  all_56_7 = e1 & op(e1, e2) = e1
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | ALPHA: (335) implies:
% 194.70/31.77  | | | | | | | | | | | | | | | |   (336)  all_56_7 = e1
% 194.70/31.77  | | | | | | | | | | | | | | | |   (337)  op(e1, e2) = e1
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 194.70/31.77  | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | |   (338)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 194.70/31.77  | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | Case 1:
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | |   (339)  all_56_1 = e2 & op(e3, e2) = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | ALPHA: (339) implies:
% 194.70/31.77  | | | | | | | | | | | | | | | | | |   (340)  all_56_1 = e2
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 194.70/31.77  | | | | | | | | | | | | | | | | | | 
% 194.70/31.77  | | | | | | | | | | | | | | | | | | Case 1:
% 194.70/31.78  | | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (46), (79), (83), (314), (340) are
% 194.70/31.78  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1000.
% 194.70/31.78  | | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | |   (341)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 194.70/31.78  | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 194.70/31.78  | | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (28), (29), (50), (59), (64), (75),
% 194.70/31.78  | | | | | | | | | | | | | | | | | | |            (79), (83), (200), (308), (341) are inconsistent
% 194.70/31.78  | | | | | | | | | | | | | | | | | | |            by sub-proof #1571.
% 194.70/31.78  | | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | |   (342)  all_56_3 = e2 & op(e2, e2) = e2
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | ALPHA: (342) implies:
% 194.70/31.78  | | | | | | | | | | | | | | | | | |   (343)  op(e2, e2) = e2
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (26), (343) are inconsistent by
% 194.70/31.78  | | | | | | | | | | | | | | | | | |            sub-proof #214.
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | |   (344)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 194.70/31.78  | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 194.70/31.78  | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 194.70/31.78  | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | Case 1:
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | |   (345)  all_56_7 = e2 & op(e1, e2) = e2
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 194.70/31.78  | | | | | | | | | | | | | | | | | |   (346)  op(e1, e2) = e2
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (64), (337), (346) are inconsistent by
% 194.70/31.78  | | | | | | | | | | | | | | | | | |            sub-proof #784.
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | |   (347)  all_56_13 = e2 & op(e0, e2) = e2
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 194.70/31.78  | | | | | | | | | | | | | | | | | |   (348)  all_56_13 = e2
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (348) imply:
% 194.70/31.78  | | | | | | | | | | | | | | | | | |   (349)  e2 = e1
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (312), (349) imply:
% 194.70/31.78  | | | | | | | | | | | | | | | | | |   (350)  all_56_6 = e1
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (50), (64), (75), (76), (77), (79),
% 194.70/31.78  | | | | | | | | | | | | | | | | | |            (83), (336), (350) are inconsistent by sub-proof
% 194.70/31.78  | | | | | | | | | | | | | | | | | |            #1616.
% 194.70/31.78  | | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | |   (351)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 194.70/31.78  | | | | | | | | | | | | | | |            e1 & op(e1, e0) = e1)
% 194.70/31.78  | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 194.70/31.78  | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | Case 1:
% 194.70/31.78  | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | |   (352)  all_56_8 = e1 & op(e1, e1) = e1
% 194.70/31.78  | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | ALPHA: (352) implies:
% 194.70/31.78  | | | | | | | | | | | | | | | |   (353)  op(e1, e1) = e1
% 194.70/31.78  | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | REF_CLOSE: (22), (50), (200), (353) are inconsistent by
% 194.70/31.78  | | | | | | | | | | | | | | | |            sub-proof #1959.
% 194.70/31.78  | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | |   (354)  all_56_11 = e1 & op(e1, e0) = e1
% 194.70/31.78  | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | | REF_CLOSE: (44), (75), (354) are inconsistent by sub-proof
% 194.70/31.78  | | | | | | | | | | | | | | | |            #541.
% 194.70/31.78  | | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | |   (355)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 194.70/31.78  | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 194.70/31.78  | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | BETA: splitting (355) gives:
% 194.70/31.78  | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | Case 1:
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | |   (356)  all_56_4 = e0 & op(e3, e1) = e0
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | ALPHA: (356) implies:
% 194.70/31.78  | | | | | | | | | | | | | |   (357)  all_56_4 = e0
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (28), (29), (50), (59), (64), (75),
% 194.70/31.78  | | | | | | | | | | | | | |            (79), (83), (200), (357) are inconsistent by
% 194.70/31.78  | | | | | | | | | | | | | |            sub-proof #1809.
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | |   (358)  all_56_9 = e0 & op(e3, e0) = e0
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | ALPHA: (358) implies:
% 194.70/31.78  | | | | | | | | | | | | | |   (359)  all_56_9 = e0
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | COMBINE_EQS: (308), (359) imply:
% 194.70/31.78  | | | | | | | | | | | | | |   (360)  e2 = e0
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | COMBINE_EQS: (67), (360) imply:
% 194.70/31.78  | | | | | | | | | | | | | |   (361)  all_56_5 = e0
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (28), (40), (49), (50), (64), (79),
% 194.70/31.78  | | | | | | | | | | | | | |            (361) are inconsistent by sub-proof #1555.
% 194.70/31.78  | | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | |   (362)  all_56_12 = e2 & op(e0, e3) = e2
% 194.70/31.78  | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | ALPHA: (362) implies:
% 194.70/31.78  | | | | | | | | | | | |   (363)  all_56_12 = e2
% 194.70/31.78  | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | | REF_CLOSE: (64), (210), (363) are inconsistent by sub-proof
% 194.70/31.78  | | | | | | | | | | | |            #1622.
% 194.70/31.78  | | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | |   (364)  all_56_10 = e2 & op(e2, e0) = e2
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | ALPHA: (364) implies:
% 194.70/31.78  | | | | | | | | | |   (365)  op(e2, e0) = e2
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | REF_CLOSE: (20), (22), (38), (365) are inconsistent by
% 194.70/31.78  | | | | | | | | | |            sub-proof #1662.
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | |   (366)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2
% 194.70/31.78  | | | | | | | | |            & op(e0, e0) = e2)
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | BETA: splitting (366) gives:
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | Case 1:
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | |   (367)  all_56_11 = e2 & op(e1, e0) = e2
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | REF_CLOSE: (21), (44), (367) are inconsistent by sub-proof
% 194.70/31.78  | | | | | | | | | |            #908.
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | |   (368)  all_56_15 = e2 & op(e0, e0) = e2
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | ALPHA: (368) implies:
% 194.70/31.78  | | | | | | | | | |   (369)  op(e0, e0) = e2
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | REF_CLOSE: (22), (79), (305), (369) are inconsistent by
% 194.70/31.78  | | | | | | | | | |            sub-proof #1945.
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | 
% 194.70/31.78  | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | 
% 194.70/31.78  | | | | | | | |   (370)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 194.70/31.78  | | | | | | | |              op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 194.70/31.78  | | | | | | | |              e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 194.70/31.78  | | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0
% 194.70/31.78  | | | | | | | |              & op(e0, e1) = e0))
% 194.70/31.78  | | | | | | | | 
% 194.70/31.78  | | | | | | | | ALPHA: (370) implies:
% 194.70/31.78  | | | | | | | |   (371)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.70/31.78  | | | | | | | |            op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.70/31.78  | | | | | | | | 
% 194.70/31.78  | | | | | | | | BETA: splitting (371) gives:
% 194.70/31.78  | | | | | | | | 
% 194.70/31.78  | | | | | | | | Case 1:
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | |   (372)  all_56_12 = e0 & op(e0, e3) = e0
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | ALPHA: (372) implies:
% 194.70/31.78  | | | | | | | | |   (373)  op(e0, e3) = e0
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | REF_CLOSE: (22), (36), (66), (373) are inconsistent by
% 194.70/31.78  | | | | | | | | |            sub-proof #1935.
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | |   (374)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0
% 194.70/31.78  | | | | | | | | |            & op(e0, e1) = e0)
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | BETA: splitting (374) gives:
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | Case 1:
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | |   (375)  all_56_13 = e0 & op(e0, e2) = e0
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | ALPHA: (375) implies:
% 194.70/31.78  | | | | | | | | | |   (376)  all_56_13 = e0
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | COMBINE_EQS: (303), (376) imply:
% 194.70/31.78  | | | | | | | | | |   (377)  e1 = e0
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | COMBINE_EQS: (40), (377) imply:
% 194.70/31.78  | | | | | | | | | |   (378)  all_56_4 = e0
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | REF_CLOSE: (21), (22), (28), (29), (50), (59), (64), (75),
% 194.70/31.78  | | | | | | | | | |            (79), (83), (200), (378) are inconsistent by
% 194.70/31.78  | | | | | | | | | |            sub-proof #1809.
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | Case 2:
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | |   (379)  all_56_14 = e0 & op(e0, e1) = e0
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | ALPHA: (379) implies:
% 194.70/31.78  | | | | | | | | | |   (380)  op(e0, e1) = e0
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | | REF_CLOSE: (22), (45), (65), (380) are inconsistent by
% 194.70/31.78  | | | | | | | | | |            sub-proof #1931.
% 194.70/31.78  | | | | | | | | | | 
% 194.70/31.78  | | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | | 
% 194.70/31.78  | | | | | | | | End of split
% 194.70/31.78  | | | | | | | | 
% 194.70/31.78  | | | | | | | End of split
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | End of split
% 194.70/31.78  | | | | | | 
% 194.70/31.78  | | | | | End of split
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | Case 2:
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | |   (381)  all_56_13 = e1 & op(e0, e2) = e1
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | REF_CLOSE: (22), (202), (206), (381) are inconsistent by sub-proof
% 194.70/31.78  | | | | |            #178.
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | End of split
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | Case 2:
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | |   (382)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 194.70/31.78  | | | |              e0) = e1)
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | | BETA: splitting (382) gives:
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | | Case 1:
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | |   (383)  all_56_14 = e1 & op(e0, e1) = e1
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | ALPHA: (383) implies:
% 194.70/31.78  | | | | |   (384)  op(e0, e1) = e1
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | REF_CLOSE: (18), (22), (45), (55), (68), (82), (384) are inconsistent
% 194.70/31.78  | | | | |            by sub-proof #296.
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | Case 2:
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | |   (385)  all_56_15 = e1 & op(e0, e0) = e1
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | ALPHA: (385) implies:
% 194.70/31.78  | | | | |   (386)  op(e0, e0) = e1
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | REF_CLOSE: (11), (13), (22), (386) are inconsistent by sub-proof
% 194.70/31.78  | | | | |            #1967.
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | End of split
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | End of split
% 194.70/31.78  | | | 
% 194.70/31.78  | | Case 2:
% 194.70/31.78  | | | 
% 194.70/31.78  | | |   (387)   ~ (all_40_1 = e0) & op(e2, e3) = all_40_1 & $i(all_40_1)
% 194.70/31.78  | | | 
% 194.70/31.78  | | | REF_CLOSE: (8), (22), (387) are inconsistent by sub-proof #177.
% 194.70/31.78  | | | 
% 194.70/31.78  | | End of split
% 194.70/31.78  | | 
% 194.70/31.78  | End of split
% 194.70/31.78  | 
% 194.70/31.78  End of proof
% 194.70/31.78  
% 194.70/31.78  Sub-proof #177 shows that the following formulas are inconsistent:
% 194.70/31.78  ----------------------------------------------------------------
% 194.70/31.78    (1)   ~ (all_40_1 = e0) & op(e2, e3) = all_40_1 & $i(all_40_1)
% 194.70/31.78    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.78    (3)  op(e2, e3) = e0
% 194.70/31.78  
% 194.70/31.78  Begin of proof
% 194.70/31.78  | 
% 194.70/31.78  | ALPHA: (1) implies:
% 194.70/31.78  |   (4)   ~ (all_40_1 = e0)
% 194.70/31.78  |   (5)  op(e2, e3) = all_40_1
% 194.70/31.78  | 
% 194.70/31.78  | GROUND_INST: instantiating (2) with e0, all_40_1, e3, e2, simplifying with
% 194.70/31.78  |              (3), (5) gives:
% 194.70/31.78  |   (6)  all_40_1 = e0
% 194.70/31.78  | 
% 194.70/31.78  | REDUCE: (4), (6) imply:
% 194.70/31.78  |   (7)  $false
% 194.70/31.78  | 
% 194.70/31.78  | CLOSE: (7) is inconsistent.
% 194.70/31.78  | 
% 194.70/31.78  End of proof
% 194.70/31.78  
% 194.70/31.78  Sub-proof #178 shows that the following formulas are inconsistent:
% 194.70/31.78  ----------------------------------------------------------------
% 194.70/31.78    (1)  all_56_13 = e1 & op(e0, e2) = e1
% 194.70/31.78    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.78    (3)  op(e0, e2) = all_40_0
% 194.70/31.78    (4)   ~ (all_40_0 = e1)
% 194.70/31.78  
% 194.70/31.78  Begin of proof
% 194.70/31.78  | 
% 194.70/31.78  | ALPHA: (1) implies:
% 194.70/31.78  |   (5)  op(e0, e2) = e1
% 194.70/31.78  | 
% 194.70/31.78  | GROUND_INST: instantiating (2) with all_40_0, e1, e2, e0, simplifying with
% 194.70/31.78  |              (3), (5) gives:
% 194.70/31.78  |   (6)  all_40_0 = e1
% 194.70/31.78  | 
% 194.70/31.78  | REDUCE: (4), (6) imply:
% 194.70/31.78  |   (7)  $false
% 194.70/31.78  | 
% 194.70/31.78  | CLOSE: (7) is inconsistent.
% 194.70/31.78  | 
% 194.70/31.78  End of proof
% 194.70/31.78  
% 194.70/31.78  Sub-proof #179 shows that the following formulas are inconsistent:
% 194.70/31.78  ----------------------------------------------------------------
% 194.70/31.78    (1)   ~ (e3 = e2)
% 194.70/31.78    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.78    (3)  op(e3, e3) = e3
% 194.70/31.78    (4)   ~ (all_52_1 = e2)
% 194.70/31.78    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 194.70/31.78    (6)  op(e2, e3) = all_52_1
% 194.70/31.78  
% 194.70/31.78  Begin of proof
% 194.70/31.78  | 
% 194.70/31.78  | BETA: splitting (5) gives:
% 194.70/31.78  | 
% 194.70/31.78  | Case 1:
% 194.70/31.78  | | 
% 194.70/31.78  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 194.70/31.78  | | 
% 194.70/31.78  | | ALPHA: (7) implies:
% 194.70/31.78  | |   (8)  op(e3, e3) = e2
% 194.70/31.78  | | 
% 194.70/31.78  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1957.
% 194.70/31.78  | | 
% 194.70/31.78  | Case 2:
% 194.70/31.78  | | 
% 194.70/31.78  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 194.70/31.78  | | 
% 194.70/31.78  | | ALPHA: (9) implies:
% 194.70/31.78  | |   (10)  op(e2, e3) = e2
% 194.70/31.78  | | 
% 194.70/31.78  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1785.
% 194.70/31.78  | | 
% 194.70/31.78  | End of split
% 194.70/31.78  | 
% 194.70/31.78  End of proof
% 194.70/31.78  
% 194.70/31.78  Sub-proof #180 shows that the following formulas are inconsistent:
% 194.70/31.78  ----------------------------------------------------------------
% 194.70/31.78    (1)   ~ (all_52_13 = e3)
% 194.70/31.78    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.78    (3)   ~ (all_52_9 = e3)
% 194.70/31.78    (4)  op(e2, e0) = all_52_13
% 194.70/31.78    (5)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.70/31.78           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.70/31.78           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.70/31.78                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.70/31.78               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.70/31.78               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.70/31.78           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 194.70/31.78           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.70/31.78               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.70/31.78           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.70/31.78               = all_57_5 & $i(all_57_5))))
% 194.70/31.78    (6)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.70/31.78         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.70/31.78    (7)   ~ (e2 = e1)
% 194.70/31.78    (8)  all_56_2 = e0
% 194.70/31.78    (9)  op(e2, e1) = all_52_9
% 194.70/31.78    (10)   ~ (e3 = e1)
% 194.70/31.78    (11)  op(e2, e1) = e2
% 194.70/31.78    (12)   ~ (e3 = e0)
% 194.70/31.78  
% 194.70/31.78  Begin of proof
% 194.70/31.78  | 
% 194.70/31.78  | BETA: splitting (5) gives:
% 194.70/31.78  | 
% 194.70/31.78  | Case 1:
% 194.70/31.78  | | 
% 194.70/31.78  | |   (13)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.70/31.78  | |         op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.70/31.78  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 194.70/31.78  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 =
% 194.70/31.78  | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.70/31.78  | |             all_57_8 & $i(all_57_8)))
% 194.70/31.78  | | 
% 194.70/31.78  | | ALPHA: (13) implies:
% 194.70/31.78  | |   (14)  op(e2, e2) = e1
% 194.70/31.78  | | 
% 194.70/31.78  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (12), (14) are
% 194.70/31.78  | |            inconsistent by sub-proof #581.
% 194.70/31.78  | | 
% 194.70/31.78  | Case 2:
% 194.70/31.78  | | 
% 194.70/31.78  | |   (15)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.70/31.78  | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.70/31.78  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.70/31.78  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 194.70/31.78  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.70/31.78  | |             all_57_5 & $i(all_57_5)))
% 194.70/31.78  | | 
% 194.70/31.78  | | ALPHA: (15) implies:
% 194.70/31.78  | |   (16)  op(e2, e1) = e1
% 194.70/31.78  | | 
% 194.70/31.78  | | REF_CLOSE: (2), (7), (11), (16) are inconsistent by sub-proof #1441.
% 194.70/31.78  | | 
% 194.70/31.78  | End of split
% 194.70/31.78  | 
% 194.70/31.78  End of proof
% 194.70/31.78  
% 194.70/31.78  Sub-proof #181 shows that the following formulas are inconsistent:
% 194.70/31.78  ----------------------------------------------------------------
% 194.70/31.78    (1)  op(e2, e3) = e0
% 194.70/31.78    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.70/31.78         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.70/31.78    (3)   ~ (e3 = e2)
% 194.70/31.78    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.78    (5)  op(e0, e3) = all_52_3
% 194.70/31.78    (6)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.70/31.78           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.70/31.78           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.70/31.78                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.70/31.78               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.70/31.78               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.70/31.78           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.70/31.78           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.70/31.78             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.70/31.78           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.70/31.78               = all_57_1 & $i(all_57_1))))
% 194.70/31.78    (7)  op(e1, e3) = e2
% 194.70/31.78    (8)  all_56_6 = e2
% 194.70/31.78    (9)   ~ (e1 = e0)
% 194.70/31.78    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.70/31.78          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.70/31.78    (11)   ~ (e2 = e1)
% 194.70/31.78    (12)   ~ (all_52_3 = e0)
% 194.70/31.78    (13)  all_56_2 = e0
% 194.70/31.78    (14)   ~ (e3 = e1)
% 194.70/31.78    (15)   ~ (e3 = e0)
% 194.70/31.78  
% 194.70/31.78  Begin of proof
% 194.70/31.78  | 
% 194.70/31.78  | BETA: splitting (6) gives:
% 194.70/31.78  | 
% 194.70/31.78  | Case 1:
% 194.70/31.78  | | 
% 194.70/31.78  | |   (16)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.70/31.78  | |         op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.70/31.78  | |         $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.70/31.78  | |               = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 194.70/31.78  | |             = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.70/31.78  | |             all_57_13 & $i(all_57_13)))
% 194.70/31.78  | | 
% 194.70/31.78  | | ALPHA: (16) implies:
% 194.70/31.78  | |   (17)  op(e3, e3) = e0
% 194.70/31.78  | | 
% 194.70/31.78  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (11), (13), (14), (15),
% 194.70/31.78  | |            (17) are inconsistent by sub-proof #400.
% 194.70/31.78  | | 
% 194.70/31.78  | Case 2:
% 194.70/31.78  | | 
% 194.70/31.78  | |   (18)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 194.70/31.78  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.70/31.78  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.70/31.78  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.70/31.78  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.70/31.78  | |             all_57_1 & $i(all_57_1)))
% 194.70/31.78  | | 
% 194.70/31.78  | | ALPHA: (18) implies:
% 194.70/31.78  | |   (19)  op(e0, e3) = e0
% 194.70/31.78  | | 
% 194.70/31.78  | | REF_CLOSE: (4), (5), (12), (19) are inconsistent by sub-proof #1935.
% 194.70/31.78  | | 
% 194.70/31.78  | End of split
% 194.70/31.78  | 
% 194.70/31.78  End of proof
% 194.70/31.78  
% 194.70/31.78  Sub-proof #182 shows that the following formulas are inconsistent:
% 194.70/31.78  ----------------------------------------------------------------
% 194.70/31.78    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.70/31.78         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.70/31.78    (2)  op(e1, e2) = all_52_6
% 194.70/31.78    (3)   ~ (all_52_6 = e0)
% 194.70/31.78    (4)  op(e0, e0) = all_14_2
% 194.70/31.78    (5)   ~ (all_14_2 = e1)
% 194.70/31.78    (6)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.70/31.78         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.70/31.78    (7)  op(e1, e2) = e1
% 194.70/31.78    (8)   ~ (e3 = e2)
% 194.70/31.78    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.78    (10)  op(e2, e2) = e3
% 194.70/31.78    (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.70/31.78          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.70/31.78    (12)   ~ (all_57_5 = e0)
% 194.70/31.78    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.70/31.78          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 194.70/31.78            e1)
% 194.70/31.78    (14)  op(e1, e1) = all_57_14
% 194.70/31.78    (15)  op(e0, e3) = all_52_3
% 194.70/31.78    (16)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.70/31.78          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 194.70/31.78            e2)
% 194.70/31.78    (17)  all_56_4 = e1
% 194.70/31.78    (18)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.70/31.78            all_57_2 & $i(all_57_2))
% 194.70/31.78    (19)  op(e0, e1) = all_52_11
% 194.70/31.78    (20)  all_56_14 = e3
% 194.70/31.78    (21)  op(e0, e2) = all_57_5
% 194.70/31.78    (22)  op(e1, e1) = e0
% 194.70/31.78    (23)   ~ (all_14_2 = e3)
% 194.70/31.78    (24)   ~ (e1 = e0)
% 194.70/31.78    (25)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.70/31.78              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.70/31.78                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.70/31.78                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.70/31.78    (26)   ~ (e2 = e1)
% 194.70/31.78    (27)   ~ (all_57_14 = e2)
% 194.70/31.78    (28)   ~ (all_52_11 = e0)
% 194.70/31.78    (29)   ~ (all_52_3 = e0)
% 194.70/31.78    (30)  all_56_5 = e2
% 194.70/31.78    (31)  op(e0, e0) = e2
% 194.70/31.78    (32)   ~ (e3 = e1)
% 194.70/31.78    (33)   ~ (e2 = e0)
% 194.70/31.78    (34)   ~ (e3 = e0)
% 194.70/31.78  
% 194.70/31.78  Begin of proof
% 194.70/31.78  | 
% 194.70/31.78  | BETA: splitting (18) gives:
% 194.70/31.78  | 
% 194.70/31.78  | Case 1:
% 194.70/31.78  | | 
% 194.70/31.78  | |   (35)  all_57_15 = e3 & op(e0, e0) = e3
% 194.70/31.78  | | 
% 194.70/31.78  | | ALPHA: (35) implies:
% 194.70/31.78  | |   (36)  op(e0, e0) = e3
% 194.70/31.78  | | 
% 194.70/31.78  | | REF_CLOSE: (8), (9), (13), (15), (16), (20), (24), (25), (26), (29), (32),
% 194.70/31.78  | |            (33), (34), (36) are inconsistent by sub-proof #319.
% 194.70/31.78  | | 
% 194.70/31.78  | Case 2:
% 194.70/31.78  | | 
% 194.70/31.78  | |   (37)   ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)
% 194.70/31.78  | | 
% 194.70/31.78  | | ALPHA: (37) implies:
% 194.70/31.78  | |   (38)   ~ (all_57_2 = e0)
% 194.70/31.78  | |   (39)  op(e0, e3) = all_57_2
% 194.70/31.78  | | 
% 194.70/31.78  | | GROUND_INST: instantiating (9) with all_14_2, e2, e0, e0, simplifying with
% 194.70/31.78  | |              (4), (31) gives:
% 194.70/31.78  | |   (40)  all_14_2 = e2
% 194.70/31.78  | | 
% 194.70/31.78  | | GROUND_INST: instantiating (9) with e0, all_57_14, e1, e1, simplifying with
% 194.70/31.78  | |              (14), (22) gives:
% 194.70/31.78  | |   (41)  all_57_14 = e0
% 194.70/31.78  | | 
% 194.70/31.78  | | REDUCE: (27), (41) imply:
% 194.70/31.78  | |   (42)   ~ (e2 = e0)
% 194.70/31.78  | | 
% 194.70/31.78  | | REDUCE: (23), (40) imply:
% 194.70/31.78  | |   (43)   ~ (e3 = e2)
% 194.70/31.78  | | 
% 194.70/31.78  | | BETA: splitting (25) gives:
% 194.70/31.78  | | 
% 194.70/31.78  | | Case 1:
% 194.70/31.78  | | | 
% 194.70/31.78  | | |   (44)  all_56_15 = e0 & op(e0, e0) = e0
% 194.70/31.78  | | | 
% 194.70/31.78  | | | ALPHA: (44) implies:
% 194.70/31.78  | | |   (45)  op(e0, e0) = e0
% 194.70/31.78  | | | 
% 194.70/31.78  | | | REF_CLOSE: (9), (31), (33), (45) are inconsistent by sub-proof #1945.
% 194.70/31.78  | | | 
% 194.70/31.78  | | Case 2:
% 194.70/31.78  | | | 
% 194.70/31.78  | | |   (46)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 194.70/31.78  | | |             = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0
% 194.70/31.78  | | |             & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 194.70/31.78  | | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 194.70/31.78  | | | 
% 194.70/31.78  | | | ALPHA: (46) implies:
% 194.70/31.78  | | |   (47)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2)
% 194.70/31.78  | | |           = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.70/31.78  | | | 
% 194.70/31.78  | | | BETA: splitting (6) gives:
% 194.70/31.78  | | | 
% 194.70/31.78  | | | Case 1:
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | |   (48)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2)
% 194.70/31.78  | | | |           = e2)
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | | BETA: splitting (48) gives:
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | | Case 1:
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | |   (49)  all_56_1 = e2 & op(e3, e2) = e2
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | ALPHA: (49) implies:
% 194.70/31.78  | | | | |   (50)  all_56_1 = e2
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | BETA: splitting (1) gives:
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | Case 1:
% 194.70/31.78  | | | | | | 
% 194.70/31.78  | | | | | |   (51)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2,
% 194.70/31.78  | | | | | |             e2) = e0)
% 194.70/31.78  | | | | | | 
% 194.70/31.78  | | | | | | BETA: splitting (51) gives:
% 194.70/31.78  | | | | | | 
% 194.70/31.78  | | | | | | Case 1:
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | |   (52)  all_56_1 = e0 & op(e3, e2) = e0
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | | ALPHA: (52) implies:
% 194.70/31.78  | | | | | | |   (53)  all_56_1 = e0
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | | COMBINE_EQS: (50), (53) imply:
% 194.70/31.78  | | | | | | |   (54)  e2 = e0
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | | COMBINE_EQS: (30), (54) imply:
% 194.70/31.78  | | | | | | |   (55)  all_56_5 = e0
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | | REF_CLOSE: (8), (9), (11), (17), (20), (22), (26), (33), (55) are
% 194.70/31.78  | | | | | | |            inconsistent by sub-proof #1555.
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | Case 2:
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | |   (56)  all_56_3 = e0 & op(e2, e2) = e0
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | | ALPHA: (56) implies:
% 194.70/31.78  | | | | | | |   (57)  op(e2, e2) = e0
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | | REF_CLOSE: (9), (10), (34), (57) are inconsistent by sub-proof
% 194.70/31.78  | | | | | | |            #202.
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | End of split
% 194.70/31.78  | | | | | | 
% 194.70/31.78  | | | | | Case 2:
% 194.70/31.78  | | | | | | 
% 194.70/31.78  | | | | | |   (58)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0,
% 194.70/31.78  | | | | | |             e2) = e0)
% 194.70/31.78  | | | | | | 
% 194.70/31.78  | | | | | | BETA: splitting (58) gives:
% 194.70/31.78  | | | | | | 
% 194.70/31.78  | | | | | | Case 1:
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | |   (59)  all_56_7 = e0 & op(e1, e2) = e0
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | | REF_CLOSE: (2), (3), (9), (59) are inconsistent by sub-proof #369.
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | Case 2:
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | |   (60)  all_56_13 = e0 & op(e0, e2) = e0
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | | ALPHA: (60) implies:
% 194.70/31.78  | | | | | | |   (61)  op(e0, e2) = e0
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | | REF_CLOSE: (9), (12), (21), (61) are inconsistent by sub-proof
% 194.70/31.78  | | | | | | |            #1589.
% 194.70/31.78  | | | | | | | 
% 194.70/31.78  | | | | | | End of split
% 194.70/31.78  | | | | | | 
% 194.70/31.78  | | | | | End of split
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | Case 2:
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | |   (62)  all_56_3 = e2 & op(e2, e2) = e2
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | ALPHA: (62) implies:
% 194.70/31.78  | | | | |   (63)  op(e2, e2) = e2
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | REF_CLOSE: (8), (9), (10), (63) are inconsistent by sub-proof #214.
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | End of split
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | Case 2:
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | |   (64)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2)
% 194.70/31.78  | | | |           = e2)
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | | BETA: splitting (64) gives:
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | | Case 1:
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | |   (65)  all_56_7 = e2 & op(e1, e2) = e2
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | ALPHA: (65) implies:
% 194.70/31.78  | | | | |   (66)  op(e1, e2) = e2
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | REF_CLOSE: (7), (9), (26), (66) are inconsistent by sub-proof #784.
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | Case 2:
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | |   (67)  all_56_13 = e2 & op(e0, e2) = e2
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | ALPHA: (67) implies:
% 194.70/31.78  | | | | |   (68)  all_56_13 = e2
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | | REF_CLOSE: (9), (19), (28), (33), (38), (39), (47), (68) are
% 194.70/31.78  | | | | |            inconsistent by sub-proof #1025.
% 194.70/31.78  | | | | | 
% 194.70/31.78  | | | | End of split
% 194.70/31.78  | | | | 
% 194.70/31.78  | | | End of split
% 194.70/31.78  | | | 
% 194.70/31.78  | | End of split
% 194.70/31.78  | | 
% 194.70/31.78  | End of split
% 194.70/31.78  | 
% 194.70/31.78  End of proof
% 194.70/31.78  
% 194.70/31.78  Sub-proof #183 shows that the following formulas are inconsistent:
% 194.70/31.78  ----------------------------------------------------------------
% 194.70/31.78    (1)   ~ (all_52_4 = e3)
% 194.70/31.78    (2)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 194.70/31.78             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.70/31.78           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 194.70/31.78           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.70/31.78           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 194.70/31.78           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 194.70/31.78    (3)  op(e1, e2) = e1
% 194.70/31.78    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.78    (5)  op(e3, e2) = all_52_4
% 194.70/31.78  
% 194.70/31.78  Begin of proof
% 194.70/31.78  | 
% 194.70/31.78  | BETA: splitting (2) gives:
% 194.70/31.78  | 
% 194.70/31.78  | Case 1:
% 194.70/31.78  | | 
% 194.70/31.78  | |   (6)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 194.70/31.78  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.70/31.78  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 194.70/31.78  | | 
% 194.70/31.78  | | ALPHA: (6) implies:
% 194.70/31.78  | |   (7)   ~ (all_57_4 = e1)
% 194.70/31.78  | |   (8)  op(e1, e2) = all_57_4
% 194.70/31.78  | | 
% 194.70/31.78  | | REF_CLOSE: (3), (4), (7), (8) are inconsistent by sub-proof #1303.
% 194.70/31.78  | | 
% 194.70/31.78  | Case 2:
% 194.70/31.78  | | 
% 194.70/31.79  | |   (9)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 194.70/31.79  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.70/31.79  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 194.70/31.79  | | 
% 194.70/31.79  | | ALPHA: (9) implies:
% 194.70/31.79  | |   (10)  op(e3, e2) = e3
% 194.70/31.79  | | 
% 194.70/31.79  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1972.
% 194.70/31.79  | | 
% 194.70/31.79  | End of split
% 194.70/31.79  | 
% 194.70/31.79  End of proof
% 194.70/31.79  
% 194.70/31.79  Sub-proof #184 shows that the following formulas are inconsistent:
% 194.70/31.79  ----------------------------------------------------------------
% 194.70/31.79    (1)  op(e1, e3) = all_52_2
% 194.70/31.79    (2)  op(e1, e2) = all_52_6
% 194.70/31.79    (3)  op(e1, e2) = e1
% 194.70/31.79    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.79    (5)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 194.70/31.79             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.70/31.79           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 194.70/31.79           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 194.70/31.79             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 194.70/31.79             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.70/31.79    (6)   ~ (all_52_2 = all_52_6)
% 194.70/31.79  
% 194.70/31.79  Begin of proof
% 194.70/31.79  | 
% 194.70/31.79  | BETA: splitting (5) gives:
% 194.70/31.79  | 
% 194.70/31.79  | Case 1:
% 194.70/31.79  | | 
% 194.70/31.79  | |   (7)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 194.70/31.79  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.70/31.79  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 194.70/31.79  | | 
% 194.70/31.79  | | ALPHA: (7) implies:
% 194.70/31.79  | |   (8)  op(e1, e3) = e1
% 194.70/31.79  | | 
% 194.70/31.79  | | REF_CLOSE: (1), (2), (3), (4), (6), (8) are inconsistent by sub-proof #185.
% 194.70/31.79  | | 
% 194.70/31.79  | Case 2:
% 194.70/31.79  | | 
% 194.70/31.79  | |   (9)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 194.70/31.79  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.70/31.79  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 194.70/31.79  | | 
% 194.70/31.79  | | ALPHA: (9) implies:
% 194.70/31.79  | |   (10)  op(e1, e3) = e1
% 194.70/31.79  | | 
% 194.70/31.79  | | REF_CLOSE: (1), (2), (3), (4), (6), (10) are inconsistent by sub-proof #185.
% 194.70/31.79  | | 
% 194.70/31.79  | End of split
% 194.70/31.79  | 
% 194.70/31.79  End of proof
% 194.70/31.79  
% 194.70/31.79  Sub-proof #185 shows that the following formulas are inconsistent:
% 194.70/31.79  ----------------------------------------------------------------
% 194.70/31.79    (1)  op(e1, e3) = all_52_2
% 194.70/31.79    (2)  op(e1, e2) = all_52_6
% 194.70/31.79    (3)  op(e1, e2) = e1
% 194.70/31.79    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.79    (5)  op(e1, e3) = e1
% 194.70/31.79    (6)   ~ (all_52_2 = all_52_6)
% 194.70/31.79  
% 194.70/31.79  Begin of proof
% 194.70/31.79  | 
% 194.70/31.79  | GROUND_INST: instantiating (4) with all_52_6, e1, e2, e1, simplifying with
% 194.70/31.79  |              (2), (3) gives:
% 194.70/31.79  |   (7)  all_52_6 = e1
% 194.70/31.79  | 
% 194.70/31.79  | GROUND_INST: instantiating (4) with all_52_2, e1, e3, e1, simplifying with
% 194.70/31.79  |              (1), (5) gives:
% 194.70/31.79  |   (8)  all_52_2 = e1
% 194.70/31.79  | 
% 194.70/31.79  | REDUCE: (6), (7), (8) imply:
% 194.70/31.79  |   (9)  $false
% 194.70/31.79  | 
% 194.70/31.79  | CLOSE: (9) is inconsistent.
% 194.70/31.79  | 
% 194.70/31.79  End of proof
% 194.70/31.79  
% 194.70/31.79  Sub-proof #186 shows that the following formulas are inconsistent:
% 194.70/31.79  ----------------------------------------------------------------
% 194.70/31.79    (1)  op(e0, e2) = all_4_0
% 194.70/31.79    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.79    (3)  op(e0, e2) = all_40_0
% 194.70/31.79    (4)  op(e0, e2) = e0
% 194.70/31.79    (5)   ~ (all_4_0 = e0)
% 194.70/31.79  
% 194.70/31.79  Begin of proof
% 194.70/31.79  | 
% 194.70/31.79  | GROUND_INST: instantiating (2) with all_4_0, all_40_0, e2, e0, simplifying
% 194.70/31.79  |              with (1), (3) gives:
% 194.70/31.79  |   (6)  all_40_0 = all_4_0
% 194.70/31.79  | 
% 194.70/31.79  | GROUND_INST: instantiating (2) with e0, all_40_0, e2, e0, simplifying with
% 194.70/31.79  |              (3), (4) gives:
% 194.70/31.79  |   (7)  all_40_0 = e0
% 194.70/31.79  | 
% 194.70/31.79  | COMBINE_EQS: (6), (7) imply:
% 194.70/31.79  |   (8)  all_4_0 = e0
% 194.70/31.79  | 
% 194.70/31.79  | REDUCE: (5), (8) imply:
% 194.70/31.79  |   (9)  $false
% 194.70/31.79  | 
% 194.70/31.79  | CLOSE: (9) is inconsistent.
% 194.70/31.79  | 
% 194.70/31.79  End of proof
% 194.70/31.79  
% 194.70/31.79  Sub-proof #187 shows that the following formulas are inconsistent:
% 194.70/31.79  ----------------------------------------------------------------
% 194.70/31.79    (1)  all_54_13 = e1 | all_54_13 = e0
% 194.70/31.79    (2)  all_54_13 = all_4_0
% 194.70/31.79    (3)   ~ (all_4_0 = e1)
% 194.70/31.79    (4)   ~ (all_4_0 = e0)
% 194.70/31.79  
% 194.70/31.79  Begin of proof
% 194.70/31.79  | 
% 194.70/31.79  | BETA: splitting (1) gives:
% 194.70/31.79  | 
% 194.70/31.79  | Case 1:
% 194.70/31.79  | | 
% 194.70/31.79  | |   (5)  all_54_13 = e1
% 194.70/31.79  | | 
% 194.70/31.79  | | COMBINE_EQS: (2), (5) imply:
% 194.70/31.79  | |   (6)  all_4_0 = e1
% 194.70/31.79  | | 
% 194.70/31.79  | | SIMP: (6) implies:
% 194.70/31.79  | |   (7)  all_4_0 = e1
% 194.70/31.79  | | 
% 194.70/31.79  | | REDUCE: (3), (7) imply:
% 194.70/31.79  | |   (8)  $false
% 194.70/31.79  | | 
% 194.70/31.79  | | CLOSE: (8) is inconsistent.
% 194.70/31.79  | | 
% 194.70/31.79  | Case 2:
% 194.70/31.79  | | 
% 194.70/31.79  | |   (9)  all_54_13 = e0
% 194.70/31.79  | | 
% 194.70/31.79  | | COMBINE_EQS: (2), (9) imply:
% 194.70/31.79  | |   (10)  all_4_0 = e0
% 194.70/31.79  | | 
% 194.70/31.79  | | SIMP: (10) implies:
% 194.70/31.79  | |   (11)  all_4_0 = e0
% 194.70/31.79  | | 
% 194.70/31.79  | | REDUCE: (4), (11) imply:
% 194.70/31.79  | |   (12)  $false
% 194.70/31.79  | | 
% 194.70/31.79  | | CLOSE: (12) is inconsistent.
% 194.70/31.79  | | 
% 194.70/31.79  | End of split
% 194.70/31.79  | 
% 194.70/31.79  End of proof
% 194.70/31.79  
% 194.70/31.79  Sub-proof #188 shows that the following formulas are inconsistent:
% 194.70/31.79  ----------------------------------------------------------------
% 194.70/31.79    (1)  op(e2, e3) = e0
% 194.70/31.79    (2)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 194.70/31.79             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.70/31.79           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.70/31.79         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 194.70/31.79             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.70/31.79           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.70/31.79    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.70/31.79         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.70/31.79    (4)   ~ (e3 = e2)
% 194.70/31.79    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.70/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.70/31.79    (6)  op(e1, e3) = e2
% 194.70/31.79    (7)  all_56_6 = e2
% 194.70/31.79    (8)   ~ (e1 = e0)
% 194.70/31.79    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.70/31.79         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.70/31.79    (10)   ~ (e2 = e1)
% 194.70/31.79    (11)  all_56_2 = e0
% 194.70/31.79    (12)   ~ (e3 = e1)
% 194.70/31.79    (13)   ~ (e3 = e0)
% 194.70/31.79  
% 194.70/31.79  Begin of proof
% 194.70/31.79  | 
% 194.70/31.79  | BETA: splitting (2) gives:
% 194.70/31.79  | 
% 194.70/31.79  | Case 1:
% 194.70/31.79  | | 
% 194.70/31.79  | |   (14)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 194.70/31.79  | |           = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.70/31.79  | |         all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 194.70/31.79  | | 
% 194.70/31.79  | | ALPHA: (14) implies:
% 194.70/31.79  | |   (15)  op(e3, e3) = e0
% 194.70/31.79  | | 
% 194.70/31.79  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 194.70/31.79  | |            (15) are inconsistent by sub-proof #400.
% 194.70/31.79  | | 
% 194.70/31.79  | Case 2:
% 194.70/31.79  | | 
% 194.70/31.79  | |   (16)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 194.70/31.79  | |           = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.70/31.79  | |         all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 194.70/31.79  | | 
% 194.70/31.79  | | ALPHA: (16) implies:
% 194.70/31.79  | |   (17)  op(e3, e3) = e0
% 194.70/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 194.73/31.79  | |            (17) are inconsistent by sub-proof #400.
% 194.73/31.79  | | 
% 194.73/31.79  | End of split
% 194.73/31.79  | 
% 194.73/31.79  End of proof
% 194.73/31.79  
% 194.73/31.79  Sub-proof #189 shows that the following formulas are inconsistent:
% 194.73/31.79  ----------------------------------------------------------------
% 194.73/31.79    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 194.73/31.79         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 194.73/31.79    (2)  all_54_2 = all_52_8
% 194.73/31.79    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.79    (4)   ~ (all_22_0 = e0)
% 194.73/31.79    (5)  op(e3, e2) = all_52_4
% 194.73/31.79    (6)   ~ (all_22_0 = e3)
% 194.73/31.79    (7)   ~ (all_52_4 = all_52_8)
% 194.73/31.79    (8)   ~ (all_22_0 = e2)
% 194.73/31.79    (9)  op(e3, e3) = e3
% 194.73/31.79    (10)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 194.73/31.79    (11)  op(e3, e0) = all_52_12
% 194.73/31.79    (12)  all_56_4 = e2 & op(e3, e1) = e2
% 194.73/31.79    (13)  all_54_2 = all_22_0
% 194.73/31.79    (14)   ~ (all_52_12 = all_22_0)
% 194.73/31.79    (15)   ~ (all_52_8 = e0)
% 194.73/31.79  
% 194.73/31.79  Begin of proof
% 194.73/31.79  | 
% 194.73/31.79  | ALPHA: (12) implies:
% 194.73/31.79  |   (16)  all_56_4 = e2
% 194.73/31.79  | 
% 194.73/31.79  | BETA: splitting (10) gives:
% 194.73/31.79  | 
% 194.73/31.79  | Case 1:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (17)  all_54_2 = e3
% 194.73/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (6), (13), (17) are inconsistent by sub-proof #192.
% 194.73/31.79  | | 
% 194.73/31.79  | Case 2:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (18)   ~ (all_54_2 = e3)
% 194.73/31.79  | |   (19)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 194.73/31.79  | | 
% 194.73/31.79  | | BETA: splitting (19) gives:
% 194.73/31.79  | | 
% 194.73/31.79  | | Case 1:
% 194.73/31.79  | | | 
% 194.73/31.79  | | |   (20)  all_54_2 = e2
% 194.73/31.79  | | | 
% 194.73/31.79  | | | REF_CLOSE: (8), (13), (20) are inconsistent by sub-proof #191.
% 194.73/31.79  | | | 
% 194.73/31.79  | | Case 2:
% 194.73/31.79  | | | 
% 194.73/31.79  | | |   (21)   ~ (all_54_2 = e2)
% 194.73/31.79  | | |   (22)  all_54_2 = e1 | all_54_2 = e0
% 194.73/31.79  | | | 
% 194.73/31.79  | | | BETA: splitting (22) gives:
% 194.73/31.79  | | | 
% 194.73/31.79  | | | Case 1:
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | |   (23)  all_54_2 = e1
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | | COMBINE_EQS: (13), (23) imply:
% 194.73/31.79  | | | |   (24)  all_22_0 = e1
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | | SIMP: (24) implies:
% 194.73/31.79  | | | |   (25)  all_22_0 = e1
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | | REDUCE: (14), (25) imply:
% 194.73/31.79  | | | |   (26)   ~ (all_52_12 = e1)
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | | REDUCE: (6), (25) imply:
% 194.73/31.79  | | | |   (27)   ~ (e3 = e1)
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | | SIMP: (27) implies:
% 194.73/31.79  | | | |   (28)   ~ (e3 = e1)
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | | REDUCE: (8), (25) imply:
% 194.73/31.79  | | | |   (29)   ~ (e2 = e1)
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | | SIMP: (29) implies:
% 194.73/31.79  | | | |   (30)   ~ (e2 = e1)
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | | BETA: splitting (1) gives:
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | | Case 1:
% 194.73/31.79  | | | | | 
% 194.73/31.79  | | | | |   (31)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3,
% 194.73/31.79  | | | | |             e2) = e1)
% 194.73/31.79  | | | | | 
% 194.73/31.79  | | | | | REF_CLOSE: (2), (3), (5), (7), (9), (15), (22), (28), (31) are
% 194.73/31.79  | | | | |            inconsistent by sub-proof #1002.
% 194.73/31.79  | | | | | 
% 194.73/31.79  | | | | Case 2:
% 194.73/31.79  | | | | | 
% 194.73/31.79  | | | | |   (32)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3,
% 194.73/31.79  | | | | |             e0) = e1)
% 194.73/31.79  | | | | | 
% 194.73/31.79  | | | | | REF_CLOSE: (3), (11), (16), (26), (30), (32) are inconsistent by
% 194.73/31.79  | | | | |            sub-proof #920.
% 194.73/31.79  | | | | | 
% 194.73/31.79  | | | | End of split
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | Case 2:
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | |   (33)  all_54_2 = e0
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | | REF_CLOSE: (4), (13), (33) are inconsistent by sub-proof #190.
% 194.73/31.79  | | | | 
% 194.73/31.79  | | | End of split
% 194.73/31.79  | | | 
% 194.73/31.79  | | End of split
% 194.73/31.79  | | 
% 194.73/31.79  | End of split
% 194.73/31.79  | 
% 194.73/31.79  End of proof
% 194.73/31.79  
% 194.73/31.79  Sub-proof #190 shows that the following formulas are inconsistent:
% 194.73/31.79  ----------------------------------------------------------------
% 194.73/31.79    (1)  all_54_2 = all_22_0
% 194.73/31.79    (2)  all_54_2 = e0
% 194.73/31.79    (3)   ~ (all_22_0 = e0)
% 194.73/31.79  
% 194.73/31.79  Begin of proof
% 194.73/31.79  | 
% 194.73/31.79  | COMBINE_EQS: (1), (2) imply:
% 194.73/31.79  |   (4)  all_22_0 = e0
% 194.73/31.79  | 
% 194.73/31.79  | SIMP: (4) implies:
% 194.73/31.79  |   (5)  all_22_0 = e0
% 194.73/31.79  | 
% 194.73/31.79  | REDUCE: (3), (5) imply:
% 194.73/31.79  |   (6)  $false
% 194.73/31.79  | 
% 194.73/31.79  | CLOSE: (6) is inconsistent.
% 194.73/31.79  | 
% 194.73/31.79  End of proof
% 194.73/31.79  
% 194.73/31.79  Sub-proof #191 shows that the following formulas are inconsistent:
% 194.73/31.79  ----------------------------------------------------------------
% 194.73/31.79    (1)  all_54_2 = all_22_0
% 194.73/31.79    (2)  all_54_2 = e2
% 194.73/31.79    (3)   ~ (all_22_0 = e2)
% 194.73/31.79  
% 194.73/31.79  Begin of proof
% 194.73/31.79  | 
% 194.73/31.79  | COMBINE_EQS: (1), (2) imply:
% 194.73/31.79  |   (4)  all_22_0 = e2
% 194.73/31.79  | 
% 194.73/31.79  | SIMP: (4) implies:
% 194.73/31.79  |   (5)  all_22_0 = e2
% 194.73/31.79  | 
% 194.73/31.79  | REDUCE: (3), (5) imply:
% 194.73/31.79  |   (6)  $false
% 194.73/31.79  | 
% 194.73/31.79  | CLOSE: (6) is inconsistent.
% 194.73/31.79  | 
% 194.73/31.79  End of proof
% 194.73/31.79  
% 194.73/31.79  Sub-proof #192 shows that the following formulas are inconsistent:
% 194.73/31.79  ----------------------------------------------------------------
% 194.73/31.79    (1)  all_54_2 = all_22_0
% 194.73/31.79    (2)  all_54_2 = e3
% 194.73/31.79    (3)   ~ (all_22_0 = e3)
% 194.73/31.79  
% 194.73/31.79  Begin of proof
% 194.73/31.79  | 
% 194.73/31.79  | COMBINE_EQS: (1), (2) imply:
% 194.73/31.79  |   (4)  all_22_0 = e3
% 194.73/31.79  | 
% 194.73/31.79  | SIMP: (4) implies:
% 194.73/31.79  |   (5)  all_22_0 = e3
% 194.73/31.79  | 
% 194.73/31.79  | REDUCE: (3), (5) imply:
% 194.73/31.79  |   (6)  $false
% 194.73/31.79  | 
% 194.73/31.79  | CLOSE: (6) is inconsistent.
% 194.73/31.79  | 
% 194.73/31.79  End of proof
% 194.73/31.79  
% 194.73/31.79  Sub-proof #193 shows that the following formulas are inconsistent:
% 194.73/31.79  ----------------------------------------------------------------
% 194.73/31.79    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.73/31.79         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.73/31.79    (2)   ~ (e3 = e2)
% 194.73/31.79    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.79    (4)  op(e2, e2) = e3
% 194.73/31.79    (5)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.73/31.79             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.73/31.79           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.73/31.79               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.73/31.79             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.73/31.79         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.73/31.79             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.73/31.79           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.73/31.79               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.73/31.79             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.73/31.79    (6)   ~ (e1 = e0)
% 194.73/31.79    (7)  all_56_6 = e3
% 194.73/31.79    (8)   ~ (e2 = e1)
% 194.73/31.79    (9)  all_56_2 = e2
% 194.73/31.79    (10)  all_56_12 = e0
% 194.73/31.79    (11)   ~ (e3 = e1)
% 194.73/31.79  
% 194.73/31.79  Begin of proof
% 194.73/31.79  | 
% 194.73/31.79  | BETA: splitting (5) gives:
% 194.73/31.79  | 
% 194.73/31.79  | Case 1:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (12)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 194.73/31.79  | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.73/31.79  | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.73/31.79  | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.73/31.79  | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.73/31.79  | |               e3) = all_57_2 & $i(all_57_2)))
% 194.73/31.79  | | 
% 194.73/31.79  | | ALPHA: (12) implies:
% 194.73/31.79  | |   (13)  op(e3, e3) = e3
% 194.73/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (1), (3), (6), (7), (8), (9), (10), (11), (13) are inconsistent
% 194.73/31.79  | |            by sub-proof #1568.
% 194.73/31.79  | | 
% 194.73/31.79  | Case 2:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (14)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 194.73/31.79  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.73/31.79  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.73/31.79  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.73/31.79  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.73/31.79  | |               e2) = all_57_5 & $i(all_57_5)))
% 194.73/31.79  | | 
% 194.73/31.79  | | ALPHA: (14) implies:
% 194.73/31.79  | |   (15)  op(e2, e2) = e2
% 194.73/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (2), (3), (4), (15) are inconsistent by sub-proof #214.
% 194.73/31.79  | | 
% 194.73/31.79  | End of split
% 194.73/31.79  | 
% 194.73/31.79  End of proof
% 194.73/31.79  
% 194.73/31.79  Sub-proof #194 shows that the following formulas are inconsistent:
% 194.73/31.79  ----------------------------------------------------------------
% 194.73/31.79    (1)  op(e3, e0) = e3
% 194.73/31.79    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.79    (3)  op(e3, e3) = e1
% 194.73/31.79    (4)   ~ (e1 = e0)
% 194.73/31.79    (5)   ~ (e2 = e1)
% 194.73/31.79    (6)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.73/31.79           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.73/31.79           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.73/31.79                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.73/31.79               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.73/31.79               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 194.73/31.79           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 194.73/31.79             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.73/31.79               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.73/31.79           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.73/31.79               = all_57_7 & $i(all_57_7))))
% 194.73/31.79    (7)  op(e0, e0) = e2
% 194.73/31.79  
% 194.73/31.79  Begin of proof
% 194.73/31.79  | 
% 194.73/31.79  | BETA: splitting (6) gives:
% 194.73/31.79  | 
% 194.73/31.79  | Case 1:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (8)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.73/31.79  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.73/31.79  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.73/31.79  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 194.73/31.79  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.73/31.79  | |            all_57_11 & $i(all_57_11)))
% 194.73/31.79  | | 
% 194.73/31.79  | | ALPHA: (8) implies:
% 194.73/31.79  | |   (9)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 194.73/31.79  | |          = all_57_9 & $i(all_57_9))
% 194.73/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (1), (2), (3), (4), (9) are inconsistent by sub-proof #203.
% 194.73/31.79  | | 
% 194.73/31.79  | Case 2:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (10)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.73/31.79  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.73/31.79  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 194.73/31.79  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 194.73/31.79  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.73/31.79  | |             all_57_7 & $i(all_57_7)))
% 194.73/31.79  | | 
% 194.73/31.79  | | ALPHA: (10) implies:
% 194.73/31.79  | |   (11)  op(e0, e0) = e1
% 194.73/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (2), (5), (7), (11) are inconsistent by sub-proof #1780.
% 194.73/31.79  | | 
% 194.73/31.79  | End of split
% 194.73/31.79  | 
% 194.73/31.79  End of proof
% 194.73/31.79  
% 194.73/31.79  Sub-proof #195 shows that the following formulas are inconsistent:
% 194.73/31.79  ----------------------------------------------------------------
% 194.73/31.79    (1)   ~ (all_52_4 = e3)
% 194.73/31.79    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.79    (3)  op(e3, e2) = all_52_4
% 194.73/31.79    (4)   ~ (all_52_4 = e2)
% 194.73/31.79    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.73/31.79           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.73/31.79           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.73/31.79                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.73/31.79               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.73/31.79               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.73/31.79           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.73/31.79           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.73/31.79               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.73/31.79           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.73/31.79               = all_57_2 & $i(all_57_2))))
% 194.73/31.79  
% 194.73/31.79  Begin of proof
% 194.73/31.79  | 
% 194.73/31.79  | BETA: splitting (5) gives:
% 194.73/31.79  | 
% 194.73/31.79  | Case 1:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (6)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.73/31.79  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.73/31.79  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.73/31.79  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 194.73/31.79  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 194.73/31.79  | |            & $i(all_57_5)))
% 194.73/31.79  | | 
% 194.73/31.79  | | ALPHA: (6) implies:
% 194.73/31.79  | |   (7)  op(e3, e2) = e3
% 194.73/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1972.
% 194.73/31.79  | | 
% 194.73/31.79  | Case 2:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (8)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 194.73/31.79  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.73/31.79  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 194.73/31.79  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.73/31.79  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 194.73/31.79  | |            & $i(all_57_2)))
% 194.73/31.79  | | 
% 194.73/31.79  | | ALPHA: (8) implies:
% 194.73/31.79  | |   (9)  op(e3, e2) = e2
% 194.73/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #825.
% 194.73/31.79  | | 
% 194.73/31.79  | End of split
% 194.73/31.79  | 
% 194.73/31.79  End of proof
% 194.73/31.79  
% 194.73/31.79  Sub-proof #196 shows that the following formulas are inconsistent:
% 194.73/31.79  ----------------------------------------------------------------
% 194.73/31.79    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.79    (2)  op(e2, e2) = e3
% 194.73/31.79    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.73/31.79             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.73/31.79           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 194.73/31.79           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.73/31.79             e1) = e0 & $i(all_57_7))
% 194.73/31.79    (4)  op(e0, e1) = all_52_11
% 194.73/31.79    (5)   ~ (all_52_11 = e0)
% 194.73/31.79    (6)   ~ (e3 = e1)
% 194.73/31.79  
% 194.73/31.79  Begin of proof
% 194.73/31.79  | 
% 194.73/31.79  | BETA: splitting (3) gives:
% 194.73/31.79  | 
% 194.73/31.79  | Case 1:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.73/31.79  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.73/31.79  | |        $i(all_57_6)
% 194.73/31.79  | | 
% 194.73/31.79  | | ALPHA: (7) implies:
% 194.73/31.79  | |   (8)  op(e0, e1) = e0
% 194.73/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1931.
% 194.73/31.79  | | 
% 194.73/31.79  | Case 2:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.73/31.79  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.73/31.79  | |        $i(all_57_7)
% 194.73/31.79  | | 
% 194.73/31.79  | | ALPHA: (9) implies:
% 194.73/31.79  | |   (10)  op(e2, e2) = e1
% 194.73/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1679.
% 194.73/31.79  | | 
% 194.73/31.79  | End of split
% 194.73/31.79  | 
% 194.73/31.79  End of proof
% 194.73/31.79  
% 194.73/31.79  Sub-proof #197 shows that the following formulas are inconsistent:
% 194.73/31.79  ----------------------------------------------------------------
% 194.73/31.79    (1)   ~ (all_14_2 = e1)
% 194.73/31.79    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.79    (3)   ~ (all_52_3 = all_14_2)
% 194.73/31.79    (4)  op(e0, e3) = all_52_3
% 194.73/31.79    (5)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.73/31.79    (6)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.73/31.79             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.73/31.79           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.73/31.79           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.73/31.79             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.73/31.79           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.73/31.79           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.73/31.79           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.73/31.79           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.73/31.79           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.73/31.79           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.73/31.79         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.73/31.79             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.73/31.79           $i(all_57_7))
% 194.73/31.79    (7)  op(e0, e1) = all_52_11
% 194.73/31.79    (8)   ~ (all_14_2 = e3)
% 194.73/31.79    (9)   ~ (all_14_2 = e2)
% 194.73/31.79    (10)  op(e3, e3) = e2
% 194.73/31.79    (11)  all_54_15 = all_14_2
% 194.73/31.79    (12)   ~ (all_52_11 = all_14_2)
% 194.73/31.79    (13)   ~ (all_52_7 = all_14_2)
% 194.73/31.79    (14)   ~ (e2 = e1)
% 194.73/31.79    (15)   ~ (e3 = e1)
% 194.73/31.79    (16)  op(e0, e2) = all_52_7
% 194.73/31.79  
% 194.73/31.79  Begin of proof
% 194.73/31.79  | 
% 194.73/31.79  | BETA: splitting (5) gives:
% 194.73/31.79  | 
% 194.73/31.79  | Case 1:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (17)  all_54_15 = e3
% 194.73/31.79  | | 
% 194.73/31.79  | | REF_CLOSE: (8), (11), (17) are inconsistent by sub-proof #1675.
% 194.73/31.79  | | 
% 194.73/31.79  | Case 2:
% 194.73/31.79  | | 
% 194.73/31.79  | |   (18)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.73/31.79  | | 
% 194.73/31.79  | | BETA: splitting (18) gives:
% 194.73/31.79  | | 
% 194.73/31.79  | | Case 1:
% 194.73/31.79  | | | 
% 194.73/31.79  | | |   (19)  all_54_15 = e2
% 194.73/31.79  | | | 
% 194.73/31.79  | | | REF_CLOSE: (9), (11), (19) are inconsistent by sub-proof #1648.
% 194.73/31.79  | | | 
% 194.73/31.79  | | Case 2:
% 194.73/31.79  | | | 
% 194.73/31.79  | | |   (20)  all_54_15 = e1 | all_54_15 = e0
% 194.73/31.79  | | | 
% 194.73/31.79  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (10), (11), (12), (13), (14),
% 194.73/31.79  | | |            (15), (16), (20) are inconsistent by sub-proof #198.
% 194.73/31.79  | | | 
% 194.73/31.79  | | End of split
% 194.73/31.79  | | 
% 194.73/31.79  | End of split
% 194.73/31.79  | 
% 194.73/31.79  End of proof
% 194.73/31.79  
% 194.73/31.79  Sub-proof #198 shows that the following formulas are inconsistent:
% 194.73/31.79  ----------------------------------------------------------------
% 194.73/31.79    (1)   ~ (all_14_2 = e1)
% 194.73/31.79    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.79    (3)   ~ (all_52_3 = all_14_2)
% 194.73/31.79    (4)  op(e0, e3) = all_52_3
% 194.73/31.80    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.73/31.80             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.73/31.80           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.73/31.80           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.73/31.80             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.73/31.80           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.73/31.80           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.73/31.80           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.73/31.80           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.73/31.80           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.73/31.80           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.73/31.80         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.73/31.80             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.73/31.80           $i(all_57_7))
% 194.73/31.80    (6)  op(e0, e1) = all_52_11
% 194.73/31.80    (7)  op(e3, e3) = e2
% 194.73/31.80    (8)  all_54_15 = all_14_2
% 194.73/31.80    (9)   ~ (all_52_11 = all_14_2)
% 194.73/31.80    (10)   ~ (all_52_7 = all_14_2)
% 194.73/31.80    (11)   ~ (e2 = e1)
% 194.73/31.80    (12)   ~ (e3 = e1)
% 194.73/31.80    (13)  all_54_15 = e1 | all_54_15 = e0
% 194.73/31.80    (14)  op(e0, e2) = all_52_7
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (13) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (15)  all_54_15 = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (8), (15) are inconsistent by sub-proof #1660.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (16)  all_54_15 = e0
% 194.73/31.80  | | 
% 194.73/31.80  | | COMBINE_EQS: (8), (16) imply:
% 194.73/31.80  | |   (17)  all_14_2 = e0
% 194.73/31.80  | | 
% 194.73/31.80  | | SIMP: (17) implies:
% 194.73/31.80  | |   (18)  all_14_2 = e0
% 194.73/31.80  | | 
% 194.73/31.80  | | REDUCE: (3), (18) imply:
% 194.73/31.80  | |   (19)   ~ (all_52_3 = e0)
% 194.73/31.80  | | 
% 194.73/31.80  | | REDUCE: (10), (18) imply:
% 194.73/31.80  | |   (20)   ~ (all_52_7 = e0)
% 194.73/31.80  | | 
% 194.73/31.80  | | REDUCE: (9), (18) imply:
% 194.73/31.80  | |   (21)   ~ (all_52_11 = e0)
% 194.73/31.80  | | 
% 194.73/31.80  | | BETA: splitting (5) gives:
% 194.73/31.80  | | 
% 194.73/31.80  | | Case 1:
% 194.73/31.80  | | | 
% 194.73/31.80  | | |   (22)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.73/31.80  | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.73/31.80  | | |           op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.73/31.80  | | |           e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.73/31.80  | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.73/31.80  | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.73/31.80  | | |           (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.73/31.80  | | |           op(e0, e2) = e0 & $i(all_57_3))
% 194.73/31.80  | | | 
% 194.73/31.80  | | | REF_CLOSE: (2), (4), (14), (19), (20), (22) are inconsistent by sub-proof
% 194.73/31.80  | | |            #199.
% 194.73/31.80  | | | 
% 194.73/31.80  | | Case 2:
% 194.73/31.80  | | | 
% 194.73/31.80  | | |   (23)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.73/31.80  | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.73/31.80  | | |           op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 194.73/31.80  | | |           e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 194.73/31.80  | | |           & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.73/31.80  | | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.73/31.80  | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.73/31.80  | | |           op(e0, e1) = e0 & $i(all_57_7))
% 194.73/31.80  | | | 
% 194.73/31.80  | | | REF_CLOSE: (2), (4), (5), (6), (7), (11), (12), (14), (19), (20), (21),
% 194.73/31.80  | | |            (23) are inconsistent by sub-proof #431.
% 194.73/31.80  | | | 
% 194.73/31.80  | | End of split
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #199 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ~ (all_52_7 = e0)
% 194.73/31.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (3)  op(e0, e3) = all_52_3
% 194.73/31.80    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.73/31.80             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.73/31.80           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.73/31.80           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.73/31.80             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.73/31.80           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.73/31.80           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.73/31.80    (5)   ~ (all_52_3 = e0)
% 194.73/31.80    (6)  op(e0, e2) = all_52_7
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (4) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (7)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.73/31.80  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.73/31.80  | |        $i(all_57_0)
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (7) implies:
% 194.73/31.80  | |   (8)  op(e0, e3) = e0
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1935.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (9)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 194.73/31.80  | |            = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0
% 194.73/31.80  | |          & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.73/31.80  | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.73/31.80  | |          all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (2), (3), (5), (6), (9) are inconsistent by sub-proof #817.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #200 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)  op(e1, e1) = e1
% 194.73/31.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (3)  op(e2, e2) = e3
% 194.73/31.80    (4)   ~ (e1 = e0)
% 194.73/31.80    (5)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 194.73/31.80             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.73/31.80           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 194.73/31.80           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.73/31.80           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 194.73/31.80           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.73/31.80    (6)   ~ (e3 = e0)
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (5) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (7)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 194.73/31.80  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 194.73/31.80  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (7) implies:
% 194.73/31.80  | |   (8)  op(e2, e2) = e0
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #202.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (9)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 194.73/31.80  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 194.73/31.80  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (9) implies:
% 194.73/31.80  | |   (10)  op(e1, e1) = e0
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1959.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #201 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)  all_54_4 = all_52_1
% 194.73/31.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (3)  op(e2, e0) = e0
% 194.73/31.80    (4)  op(e2, e0) = all_52_13
% 194.73/31.80    (5)   ~ (all_52_1 = e1)
% 194.73/31.80    (6)   ~ (all_52_1 = all_52_13)
% 194.73/31.80    (7)   ~ (all_52_1 = e2)
% 194.73/31.80    (8)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (8) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (9)  all_54_4 = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (7), (9) are inconsistent by sub-proof #1833.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (10)  all_54_4 = e1 | all_54_4 = e0
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10) are inconsistent by sub-proof
% 194.73/31.80  | |            #671.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #202 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (2)  op(e2, e2) = e3
% 194.73/31.80    (3)  op(e2, e2) = e0
% 194.73/31.80    (4)   ~ (e3 = e0)
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | GROUND_INST: instantiating (1) with e3, e0, e2, e2, simplifying with (2), (3)
% 194.73/31.80  |              gives:
% 194.73/31.80  |   (5)  e3 = e0
% 194.73/31.80  | 
% 194.73/31.80  | REDUCE: (4), (5) imply:
% 194.73/31.80  |   (6)  $false
% 194.73/31.80  | 
% 194.73/31.80  | CLOSE: (6) is inconsistent.
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #203 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)  op(e3, e0) = e3
% 194.73/31.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (3)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 194.73/31.80           all_57_9 & $i(all_57_9))
% 194.73/31.80    (4)  op(e3, e3) = e1
% 194.73/31.80    (5)   ~ (e1 = e0)
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (3) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (6)  all_57_10 = e0 & op(e3, e3) = e0
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (6) implies:
% 194.73/31.80  | |   (7)  op(e3, e3) = e0
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1937.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (8)   ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (8) implies:
% 194.73/31.80  | |   (9)  op(e3, e0) = all_57_9
% 194.73/31.80  | | 
% 194.73/31.80  | | GROUND_INST: instantiating (2) with e3, all_57_9, e0, e3, simplifying with
% 194.73/31.80  | |              (1), (9) gives:
% 194.73/31.80  | |   (10)  all_57_9 = e3
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (2), (3), (4), (5), (10) are inconsistent by sub-proof #1479.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #204 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (2)  op(e2, e2) = e3
% 194.73/31.80    (3)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.73/31.80           all_57_7 & $i(all_57_7))
% 194.73/31.80    (4)   ~ (e3 = e1)
% 194.73/31.80    (5)  op(e2, e1) = e2
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (3) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (6)  all_57_12 = e1 & op(e2, e2) = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (6) implies:
% 194.73/31.80  | |   (7)  op(e2, e2) = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1679.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (8)   ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (8) implies:
% 194.73/31.80  | |   (9)   ~ (all_57_7 = e2)
% 194.73/31.80  | |   (10)  op(e2, e1) = all_57_7
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (5), (9), (10) are inconsistent by sub-proof #1718.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #205 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ~ (e3 = e2)
% 194.73/31.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (3)  op(e2, e2) = e3
% 194.73/31.80    (4)  op(e3, e3) = e1
% 194.73/31.80    (5)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.73/31.80             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.73/31.80           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.73/31.80               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.73/31.80             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.73/31.80         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.73/31.80             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.73/31.80           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.73/31.80               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.73/31.80             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.73/31.80    (6)   ~ (e3 = e1)
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (5) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (7)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 194.73/31.80  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.73/31.80  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.73/31.80  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.73/31.80  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.73/31.80  | |              e3) = all_57_2 & $i(all_57_2)))
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (7) implies:
% 194.73/31.80  | |   (8)  op(e3, e3) = e3
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1966.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (9)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 194.73/31.80  | |            e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.73/31.80  | |            $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.73/31.80  | |            (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.73/31.80  | |        ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.73/31.80  | |              e2) = all_57_5 & $i(all_57_5)))
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (9) implies:
% 194.73/31.80  | |   (10)  op(e2, e2) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #214.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #206 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ~ (all_52_4 = e3)
% 194.73/31.80    (2)   ~ (all_52_1 = all_52_9)
% 194.73/31.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (4)  op(e3, e2) = all_52_4
% 194.73/31.80    (5)  op(e2, e1) = all_52_9
% 194.73/31.80    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.73/31.80           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.73/31.80           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.73/31.80                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.73/31.80               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.73/31.80               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.73/31.80           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.73/31.80           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.73/31.80               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.73/31.80           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.73/31.80               = all_57_2 & $i(all_57_2))))
% 194.73/31.80    (7)  op(e2, e3) = all_52_1
% 194.73/31.80    (8)  op(e2, e1) = e2
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (6) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (9)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.73/31.80  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.73/31.80  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.73/31.80  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 194.73/31.80  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 194.73/31.80  | |            & $i(all_57_5)))
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (9) implies:
% 194.73/31.80  | |   (10)  op(e3, e2) = e3
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1972.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (11)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 194.73/31.80  | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.73/31.80  | |         $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 194.73/31.80  | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 194.73/31.80  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.73/31.80  | |             all_57_2 & $i(all_57_2)))
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (11) implies:
% 194.73/31.80  | |   (12)  op(e2, e3) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (2), (3), (5), (7), (8), (12) are inconsistent by sub-proof
% 194.73/31.80  | |            #1135.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #207 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ~ (all_52_1 = all_52_9)
% 194.73/31.80    (2)   ~ (e3 = e2)
% 194.73/31.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (4)  op(e2, e2) = e3
% 194.73/31.80    (5)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 194.73/31.80    (6)  op(e2, e1) = all_52_9
% 194.73/31.80    (7)  op(e2, e3) = all_52_1
% 194.73/31.80    (8)  op(e2, e1) = e2
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (5) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (9) implies:
% 194.73/31.80  | |   (10)  op(e2, e3) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (3), (6), (7), (8), (10) are inconsistent by sub-proof
% 194.73/31.80  | |            #1135.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (11)  all_56_3 = e2 & op(e2, e2) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (11) implies:
% 194.73/31.80  | |   (12)  op(e2, e2) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (2), (3), (4), (12) are inconsistent by sub-proof #214.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #208 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (2)  op(e2, e2) = e3
% 194.73/31.80    (3)  all_54_10 = all_10_2
% 194.73/31.80    (4)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.73/31.80             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.73/31.80           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 194.73/31.80           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.73/31.80             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.73/31.80           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.73/31.80           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.73/31.80    (5)  all_54_10 = e1 | all_54_10 = e0
% 194.73/31.80    (6)  op(e3, e3) = e3
% 194.73/31.80    (7)  op(e1, e1) = all_10_2
% 194.73/31.80    (8)   ~ (all_10_2 = e0)
% 194.73/31.80    (9)   ~ (all_10_2 = e2)
% 194.73/31.80    (10)   ~ (e3 = e1)
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (4) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (11)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.73/31.80  | |           = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.73/31.80  | |         & $i(all_57_4)
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (11) implies:
% 194.73/31.80  | |   (12)  op(e1, e1) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (3), (5), (7), (8), (9), (12) are inconsistent by sub-proof
% 194.73/31.80  | |            #210.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (13)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.73/31.80  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.73/31.80  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.73/31.80  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 194.73/31.80  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (2), (6), (10), (13) are inconsistent by sub-proof #209.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #209 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (2)  op(e2, e2) = e3
% 194.73/31.80    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.73/31.80             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.73/31.80           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 194.73/31.80           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.73/31.80             e1) = e0 & $i(all_57_7))
% 194.73/31.80    (4)  op(e3, e3) = e3
% 194.73/31.80    (5)   ~ (e3 = e1)
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (3) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (6)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.73/31.80  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.73/31.80  | |        $i(all_57_6)
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (6) implies:
% 194.73/31.80  | |   (7)  op(e3, e3) = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1966.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (8)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.73/31.80  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.73/31.80  | |        $i(all_57_7)
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (8) implies:
% 194.73/31.80  | |   (9)  op(e2, e2) = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1679.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #210 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (2)  all_54_10 = all_10_2
% 194.73/31.80    (3)  all_54_10 = e1 | all_54_10 = e0
% 194.73/31.80    (4)  op(e1, e1) = all_10_2
% 194.73/31.80    (5)  op(e1, e1) = e2
% 194.73/31.80    (6)   ~ (all_10_2 = e0)
% 194.73/31.80    (7)   ~ (all_10_2 = e2)
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (3) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (8)  all_54_10 = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | COMBINE_EQS: (2), (8) imply:
% 194.73/31.80  | |   (9)  all_10_2 = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | SIMP: (9) implies:
% 194.73/31.80  | |   (10)  all_10_2 = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | REDUCE: (7), (10) imply:
% 194.73/31.80  | |   (11)   ~ (e2 = e1)
% 194.73/31.80  | | 
% 194.73/31.80  | | SIMP: (11) implies:
% 194.73/31.80  | |   (12)   ~ (e2 = e1)
% 194.73/31.80  | | 
% 194.73/31.80  | | REDUCE: (4), (10) imply:
% 194.73/31.80  | |   (13)  op(e1, e1) = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (5), (12), (13) are inconsistent by sub-proof #1955.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (14)  all_54_10 = e0
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (2), (6), (14) are inconsistent by sub-proof #932.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #211 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ~ (all_52_13 = e2)
% 194.73/31.80    (2)   ~ (e3 = e2)
% 194.73/31.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (4)  op(e2, e2) = e3
% 194.73/31.80    (5)  op(e2, e0) = all_52_13
% 194.73/31.80    (6)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.73/31.80           all_57_7 & $i(all_57_7))
% 194.73/31.80    (7)   ~ (all_52_1 = e2)
% 194.73/31.80    (8)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.73/31.80         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.73/31.80    (9)   ~ (e3 = e1)
% 194.73/31.80    (10)  op(e2, e3) = all_52_1
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (6) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (11)  all_57_12 = e1 & op(e2, e2) = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (11) implies:
% 194.73/31.80  | |   (12)  op(e2, e2) = e1
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (3), (4), (9), (12) are inconsistent by sub-proof #1679.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (13)   ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (13) implies:
% 194.73/31.80  | |   (14)   ~ (all_57_7 = e2)
% 194.73/31.80  | |   (15)  op(e2, e1) = all_57_7
% 194.73/31.80  | | 
% 194.73/31.80  | | BETA: splitting (8) gives:
% 194.73/31.80  | | 
% 194.73/31.80  | | Case 1:
% 194.73/31.80  | | | 
% 194.73/31.80  | | |   (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 194.73/31.80  | | |           e2)
% 194.73/31.80  | | | 
% 194.73/31.80  | | | REF_CLOSE: (2), (3), (4), (7), (10), (16) are inconsistent by sub-proof
% 194.73/31.80  | | |            #212.
% 194.73/31.80  | | | 
% 194.73/31.80  | | Case 2:
% 194.73/31.80  | | | 
% 194.73/31.80  | | |   (17)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 194.73/31.80  | | |           e2)
% 194.73/31.80  | | | 
% 194.73/31.80  | | | REF_CLOSE: (1), (3), (5), (14), (15), (17) are inconsistent by sub-proof
% 194.73/31.80  | | |            #821.
% 194.73/31.80  | | | 
% 194.73/31.80  | | End of split
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #212 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ~ (e3 = e2)
% 194.73/31.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (3)  op(e2, e2) = e3
% 194.73/31.80    (4)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 194.73/31.80    (5)   ~ (all_52_1 = e2)
% 194.73/31.80    (6)  op(e2, e3) = all_52_1
% 194.73/31.80  
% 194.73/31.80  Begin of proof
% 194.73/31.80  | 
% 194.73/31.80  | BETA: splitting (4) gives:
% 194.73/31.80  | 
% 194.73/31.80  | Case 1:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (7)  all_56_2 = e2 & op(e2, e3) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (7) implies:
% 194.73/31.80  | |   (8)  op(e2, e3) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1785.
% 194.73/31.80  | | 
% 194.73/31.80  | Case 2:
% 194.73/31.80  | | 
% 194.73/31.80  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | ALPHA: (9) implies:
% 194.73/31.80  | |   (10)  op(e2, e2) = e2
% 194.73/31.80  | | 
% 194.73/31.80  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #214.
% 194.73/31.80  | | 
% 194.73/31.80  | End of split
% 194.73/31.80  | 
% 194.73/31.80  End of proof
% 194.73/31.80  
% 194.73/31.80  Sub-proof #213 shows that the following formulas are inconsistent:
% 194.73/31.80  ----------------------------------------------------------------
% 194.73/31.80    (1)   ~ (e3 = e2)
% 194.73/31.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.80    (3)  op(e2, e2) = e3
% 194.73/31.80    (4)   ~ (all_57_15 = e3)
% 194.73/31.80    (5)  op(e0, e3) = e0
% 194.73/31.80    (6)  op(e0, e0) = all_57_15
% 194.73/31.81    (7)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.73/31.81             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.73/31.81           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.73/31.81               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.73/31.81             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.73/31.81         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.73/31.81             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.73/31.81           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.73/31.81               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.73/31.81             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | BETA: splitting (7) gives:
% 194.73/31.81  | 
% 194.73/31.81  | Case 1:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (8)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 194.73/31.81  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.73/31.81  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.73/31.81  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.73/31.81  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.73/31.81  | |              e3) = all_57_2 & $i(all_57_2)))
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (8) implies:
% 194.73/31.81  | |   (9)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.73/31.81  | |          = all_57_2 & $i(all_57_2))
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (2), (4), (5), (6), (9) are inconsistent by sub-proof #1275.
% 194.73/31.81  | | 
% 194.73/31.81  | Case 2:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (10)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 194.73/31.81  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.73/31.81  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.73/31.81  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.73/31.81  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.73/31.81  | |               e2) = all_57_5 & $i(all_57_5)))
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (10) implies:
% 194.73/31.81  | |   (11)  op(e2, e2) = e2
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (1), (2), (3), (11) are inconsistent by sub-proof #214.
% 194.73/31.81  | | 
% 194.73/31.81  | End of split
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #214 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.81    (2)  op(e2, e2) = e3
% 194.73/31.81    (3)  op(e2, e2) = e2
% 194.73/31.81    (4)   ~ (e3 = e2)
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | GROUND_INST: instantiating (1) with e3, e2, e2, e2, simplifying with (2), (3)
% 194.73/31.81  |              gives:
% 194.73/31.81  |   (5)  e3 = e2
% 194.73/31.81  | 
% 194.73/31.81  | REDUCE: (4), (5) imply:
% 194.73/31.81  |   (6)  $false
% 194.73/31.81  | 
% 194.73/31.81  | CLOSE: (6) is inconsistent.
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #215 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)  op(e1, e2) = all_52_6
% 194.73/31.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.81    (3)  op(e2, e2) = e3
% 194.73/31.81    (4)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.73/31.81           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.73/31.81           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.73/31.81                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.73/31.81               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.73/31.81               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.73/31.81           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 194.73/31.81           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.73/31.81               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.73/31.81           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.73/31.81               = all_57_5 & $i(all_57_5))))
% 194.73/31.81    (5)   ~ (e3 = e1)
% 194.73/31.81    (6)   ~ (all_52_6 = e1)
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | BETA: splitting (4) gives:
% 194.73/31.81  | 
% 194.73/31.81  | Case 1:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.73/31.81  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.73/31.81  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.73/31.81  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 194.73/31.81  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.73/31.81  | |            & $i(all_57_8)))
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (7) implies:
% 194.73/31.81  | |   (8)  op(e2, e2) = e1
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1679.
% 194.73/31.81  | | 
% 194.73/31.81  | Case 2:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.73/31.81  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.73/31.81  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.73/31.81  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.73/31.81  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 194.73/31.81  | |            & $i(all_57_5)))
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (9) implies:
% 194.73/31.81  | |   (10)  op(e1, e2) = e1
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1970.
% 194.73/31.81  | | 
% 194.73/31.81  | End of split
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #216 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)   ~ (all_52_4 = e3)
% 194.73/31.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.81    (3)  op(e3, e2) = all_52_4
% 194.73/31.81    (4)   ~ (all_57_15 = e3)
% 194.73/31.81    (5)  op(e0, e3) = e0
% 194.73/31.81    (6)  op(e0, e0) = all_57_15
% 194.73/31.81    (7)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.73/31.81           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.73/31.81           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.73/31.81                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.73/31.81               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.73/31.81               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.73/31.81           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.73/31.81           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.73/31.81               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.73/31.81           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.73/31.81               = all_57_2 & $i(all_57_2))))
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | BETA: splitting (7) gives:
% 194.73/31.81  | 
% 194.73/31.81  | Case 1:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (8)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.73/31.81  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.73/31.81  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.73/31.81  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 194.73/31.81  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 194.73/31.81  | |            & $i(all_57_5)))
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (8) implies:
% 194.73/31.81  | |   (9)  op(e3, e2) = e3
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1972.
% 194.73/31.81  | | 
% 194.73/31.81  | Case 2:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (10)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 194.73/31.81  | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.73/31.81  | |         $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 194.73/31.81  | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 194.73/31.81  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.73/31.81  | |             all_57_2 & $i(all_57_2)))
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (10) implies:
% 194.73/31.81  | |   (11)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.73/31.81  | |             e3) = all_57_2 & $i(all_57_2))
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (2), (4), (5), (6), (11) are inconsistent by sub-proof #1275.
% 194.73/31.81  | | 
% 194.73/31.81  | End of split
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #217 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)   ~ (all_52_4 = e3)
% 194.73/31.81    (2)  op(e1, e3) = all_52_2
% 194.73/31.81    (3)  op(e1, e2) = all_52_6
% 194.73/31.81    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.81    (5)  op(e3, e2) = all_52_4
% 194.73/31.81    (6)  op(e2, e2) = e3
% 194.73/31.81    (7)   ~ (all_52_2 = e1)
% 194.73/31.81    (8)   ~ (e3 = e1)
% 194.73/31.81    (9)   ~ (all_52_6 = e1)
% 194.73/31.81    (10)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.73/31.81              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.73/31.81            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.73/31.81            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.73/31.81            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.73/31.81            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.73/31.81            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.73/31.81            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.73/31.81            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.73/31.81            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.73/31.81            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.73/31.81            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.73/31.81            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.73/31.81            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.73/31.81            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.73/31.81            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.73/31.81            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.73/31.81            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.73/31.81            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.73/31.81            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.73/31.81            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.73/31.81            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.73/31.81            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.73/31.81            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.73/31.81            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.73/31.81            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.73/31.81            $i(all_57_10))
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | BETA: splitting (10) gives:
% 194.73/31.81  | 
% 194.73/31.81  | Case 1:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (11)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 194.73/31.81  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.73/31.81  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 194.73/31.81  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 194.73/31.81  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.73/31.81  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 194.73/31.81  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 194.73/31.81  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 194.73/31.81  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 194.73/31.81  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 194.73/31.81  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.73/31.81  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.73/31.81  | | 
% 194.73/31.81  | | BETA: splitting (11) gives:
% 194.73/31.81  | | 
% 194.73/31.81  | | Case 1:
% 194.73/31.81  | | | 
% 194.73/31.81  | | |   (12)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.73/31.81  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.73/31.81  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 194.73/31.81  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 194.73/31.81  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 194.73/31.81  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.73/31.81  | | |           $i(all_57_2) & $i(all_57_12))
% 194.73/31.81  | | | 
% 194.73/31.81  | | | REF_CLOSE: (4), (6), (12) are inconsistent by sub-proof #220.
% 194.73/31.81  | | | 
% 194.73/31.81  | | Case 2:
% 194.73/31.81  | | | 
% 194.73/31.81  | | |   (13)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.73/31.81  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.73/31.81  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.73/31.81  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 194.73/31.81  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 194.73/31.81  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.73/31.81  | | |           $i(all_57_2) & $i(all_57_14))
% 194.73/31.81  | | | 
% 194.73/31.81  | | | REF_CLOSE: (2), (4), (7), (13) are inconsistent by sub-proof #219.
% 194.73/31.81  | | | 
% 194.73/31.81  | | End of split
% 194.73/31.81  | | 
% 194.73/31.81  | Case 2:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (14)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.73/31.81  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.73/31.81  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.73/31.81  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.73/31.81  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.73/31.81  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 194.73/31.81  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.73/31.81  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 194.73/31.81  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.73/31.81  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.73/31.81  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.73/31.81  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.73/31.81  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.73/31.81  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.73/31.81  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.73/31.81  | | 
% 194.73/31.81  | | BETA: splitting (14) gives:
% 194.73/31.81  | | 
% 194.73/31.81  | | Case 1:
% 194.73/31.81  | | | 
% 194.73/31.81  | | |   (15)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.73/31.81  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.73/31.81  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.73/31.81  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 194.73/31.81  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 194.73/31.81  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.73/31.81  | | |           $i(all_57_5) & $i(all_57_10))
% 194.73/31.81  | | | 
% 194.73/31.81  | | | REF_CLOSE: (1), (4), (5), (15) are inconsistent by sub-proof #1971.
% 194.73/31.81  | | | 
% 194.73/31.81  | | Case 2:
% 194.73/31.81  | | | 
% 194.73/31.81  | | |   (16)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.73/31.81  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.73/31.81  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.73/31.81  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 194.73/31.81  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 194.73/31.81  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.73/31.81  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 194.73/31.81  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.73/31.81  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.73/31.81  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.73/31.81  | | | 
% 194.73/31.81  | | | REF_CLOSE: (3), (4), (6), (8), (9), (16) are inconsistent by sub-proof
% 194.73/31.81  | | |            #218.
% 194.73/31.81  | | | 
% 194.73/31.81  | | End of split
% 194.73/31.81  | | 
% 194.73/31.81  | End of split
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #218 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)  op(e1, e2) = all_52_6
% 194.73/31.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.81    (3)  op(e2, e2) = e3
% 194.73/31.81    (4)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 194.73/31.81             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 194.73/31.81           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 194.73/31.81           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 194.73/31.81             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 194.73/31.81             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 194.73/31.81           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.73/31.81           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.73/31.81           $i(all_57_7) & $i(all_57_10))
% 194.73/31.81    (5)   ~ (e3 = e1)
% 194.73/31.81    (6)   ~ (all_52_6 = e1)
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | BETA: splitting (4) gives:
% 194.73/31.81  | 
% 194.73/31.81  | Case 1:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (7)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 194.73/31.81  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 194.73/31.81  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (7) implies:
% 194.73/31.81  | |   (8)  op(e1, e2) = e1
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1970.
% 194.73/31.81  | | 
% 194.73/31.81  | Case 2:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (9)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.73/31.81  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.73/31.81  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.73/31.81  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.73/31.81  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.73/31.81  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.73/31.81  | | 
% 194.73/31.81  | | BETA: splitting (9) gives:
% 194.73/31.81  | | 
% 194.73/31.81  | | Case 1:
% 194.73/31.81  | | | 
% 194.73/31.81  | | |   (10)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.73/31.81  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.73/31.81  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.73/31.81  | | |         $i(all_57_14)
% 194.73/31.81  | | | 
% 194.73/31.81  | | | ALPHA: (10) implies:
% 194.73/31.81  | | |   (11)  op(e1, e2) = e1
% 194.73/31.81  | | | 
% 194.73/31.81  | | | REF_CLOSE: (1), (2), (6), (11) are inconsistent by sub-proof #1970.
% 194.73/31.81  | | | 
% 194.73/31.81  | | Case 2:
% 194.73/31.81  | | | 
% 194.73/31.81  | | |   (12)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.73/31.81  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.73/31.81  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.73/31.81  | | |         $i(all_57_10)
% 194.73/31.81  | | | 
% 194.73/31.81  | | | ALPHA: (12) implies:
% 194.73/31.81  | | |   (13)  op(e2, e2) = e1
% 194.73/31.81  | | | 
% 194.73/31.81  | | | REF_CLOSE: (2), (3), (5), (13) are inconsistent by sub-proof #1679.
% 194.73/31.81  | | | 
% 194.73/31.81  | | End of split
% 194.73/31.81  | | 
% 194.73/31.81  | End of split
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #219 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 194.73/31.81             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.73/31.81           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 194.73/31.81           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 194.73/31.81             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 194.73/31.81             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.73/31.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.81    (3)  op(e1, e3) = all_52_2
% 194.73/31.81    (4)   ~ (all_52_2 = e1)
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | BETA: splitting (1) gives:
% 194.73/31.81  | 
% 194.73/31.81  | Case 1:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (5)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 194.73/31.81  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.73/31.81  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (5) implies:
% 194.73/31.81  | |   (6)  op(e1, e3) = e1
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #1974.
% 194.73/31.81  | | 
% 194.73/31.81  | Case 2:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (7)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 194.73/31.81  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.73/31.81  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (7) implies:
% 194.73/31.81  | |   (8)  op(e1, e3) = e1
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1974.
% 194.73/31.81  | | 
% 194.73/31.81  | End of split
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #220 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.73/31.81             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.73/31.81           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.73/31.81           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.73/31.81           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.73/31.81           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.73/31.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.81    (3)  op(e2, e2) = e3
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | BETA: splitting (1) gives:
% 194.73/31.81  | 
% 194.73/31.81  | Case 1:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (4)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.73/31.81  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.73/31.81  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (4) implies:
% 194.73/31.81  | |   (5)   ~ (all_57_12 = e3)
% 194.73/31.81  | |   (6)  op(e2, e2) = all_57_12
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (2), (3), (5), (6) are inconsistent by sub-proof #221.
% 194.73/31.81  | | 
% 194.73/31.81  | Case 2:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (7)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 194.73/31.81  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.73/31.81  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (7) implies:
% 194.73/31.81  | |   (8)   ~ (all_57_12 = e3)
% 194.73/31.81  | |   (9)  op(e2, e2) = all_57_12
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (2), (3), (8), (9) are inconsistent by sub-proof #221.
% 194.73/31.81  | | 
% 194.73/31.81  | End of split
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #221 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.81    (2)  op(e2, e2) = all_57_12
% 194.73/31.81    (3)  op(e2, e2) = e3
% 194.73/31.81    (4)   ~ (all_57_12 = e3)
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | GROUND_INST: instantiating (1) with e3, all_57_12, e2, e2, simplifying with
% 194.73/31.81  |              (2), (3) gives:
% 194.73/31.81  |   (5)  all_57_12 = e3
% 194.73/31.81  | 
% 194.73/31.81  | REDUCE: (4), (5) imply:
% 194.73/31.81  |   (6)  $false
% 194.73/31.81  | 
% 194.73/31.81  | CLOSE: (6) is inconsistent.
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #222 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)  op(e1, e3) = all_52_2
% 194.73/31.81    (2)  op(e1, e2) = all_52_6
% 194.73/31.81    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.81    (4)   ~ (all_52_2 = e3)
% 194.73/31.81    (5)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 194.73/31.81    (6)   ~ (all_52_6 = e3)
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | BETA: splitting (5) gives:
% 194.73/31.81  | 
% 194.73/31.81  | Case 1:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (7)  all_56_6 = e3 & op(e1, e3) = e3
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (7) implies:
% 194.73/31.81  | |   (8)  op(e1, e3) = e3
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1179.
% 194.73/31.81  | | 
% 194.73/31.81  | Case 2:
% 194.73/31.81  | | 
% 194.73/31.81  | |   (9)  all_56_7 = e3 & op(e1, e2) = e3
% 194.73/31.81  | | 
% 194.73/31.81  | | ALPHA: (9) implies:
% 194.73/31.81  | |   (10)  op(e1, e2) = e3
% 194.73/31.81  | | 
% 194.73/31.81  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1408.
% 194.73/31.81  | | 
% 194.73/31.81  | End of split
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #223 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)  all_56_2 = e3 & op(e2, e3) = e3
% 194.73/31.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.81    (3)  op(e2, e3) = all_52_1
% 194.73/31.81    (4)   ~ (all_52_1 = e3)
% 194.73/31.81  
% 194.73/31.81  Begin of proof
% 194.73/31.81  | 
% 194.73/31.81  | ALPHA: (1) implies:
% 194.73/31.81  |   (5)  op(e2, e3) = e3
% 194.73/31.81  | 
% 194.73/31.81  | GROUND_INST: instantiating (2) with all_52_1, e3, e3, e2, simplifying with
% 194.73/31.81  |              (3), (5) gives:
% 194.73/31.81  |   (6)  all_52_1 = e3
% 194.73/31.81  | 
% 194.73/31.81  | REDUCE: (4), (6) imply:
% 194.73/31.81  |   (7)  $false
% 194.73/31.81  | 
% 194.73/31.81  | CLOSE: (7) is inconsistent.
% 194.73/31.81  | 
% 194.73/31.81  End of proof
% 194.73/31.81  
% 194.73/31.81  Sub-proof #224 shows that the following formulas are inconsistent:
% 194.73/31.81  ----------------------------------------------------------------
% 194.73/31.81    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.73/31.81         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.73/31.81    (2)  op(e3, e3) = e0
% 194.73/31.81    (3)  op(e1, e3) = all_52_2
% 194.73/31.82    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.73/31.82           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.73/31.82           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.73/31.82                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.73/31.82               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.73/31.82               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.73/31.82           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.73/31.82           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.73/31.82               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.73/31.82           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.73/31.82               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.73/31.82           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.73/31.82           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.73/31.82               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.73/31.82               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.73/31.82               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.73/31.82         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.73/31.82           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.73/31.82           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.73/31.82               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.73/31.82             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.73/31.82         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.73/31.82           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.73/31.82           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.73/31.82                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.73/31.82               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.73/31.82               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.73/31.82           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.73/31.82           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.73/31.82             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.73/31.82           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.73/31.82               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.73/31.82           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.73/31.82           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.73/31.82               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.73/31.82               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.73/31.82               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.73/31.82         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.73/31.82           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.73/31.82           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.73/31.82               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.73/31.82             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.73/31.82         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.73/31.82           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.73/31.82           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.73/31.82                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.73/31.82               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.73/31.82               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.73/31.82           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.73/31.82             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.73/31.82               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.73/31.82           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.73/31.82               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.73/31.82           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.73/31.82           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.73/31.82               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.73/31.82               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.73/31.82               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.73/31.82         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.73/31.82           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.73/31.82           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.73/31.82               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.73/31.82             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.73/31.82         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.73/31.82             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.73/31.82           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.73/31.82               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.73/31.82             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.73/31.82         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.73/31.82             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.73/31.82           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.73/31.82               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.73/31.82             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.73/31.82         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.73/31.82             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.73/31.82           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.73/31.82               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.73/31.82             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.73/31.82         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.73/31.82             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.73/31.82           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.73/31.82               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.73/31.82             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.73/31.82    (5)  all_54_4 = all_52_1
% 194.73/31.82    (6)  op(e1, e2) = all_52_6
% 194.73/31.82    (7)  all_54_7 = all_52_13
% 194.73/31.82    (8)   ~ (all_52_2 = all_6_0)
% 194.73/31.82    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.73/31.82         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.73/31.82    (10)   ~ (all_52_1 = e0)
% 194.73/31.82    (11)   ~ (all_52_7 = e2)
% 194.73/31.82    (12)  all_54_6 = all_52_9
% 194.73/31.82    (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.73/31.82          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.73/31.82    (14)  op(e0, e0) = e1
% 194.73/31.82    (15)   ~ (all_52_6 = all_52_7)
% 194.73/31.82    (16)   ~ (all_52_9 = all_6_0)
% 194.73/31.82    (17)  all_56_9 = e2
% 194.73/31.82    (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.73/31.82          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.73/31.82    (19)   ~ (all_52_2 = e0)
% 194.73/31.82    (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.73/31.82          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.73/31.82    (21)   ~ (all_52_13 = e2)
% 194.73/31.82    (22)   ~ (all_52_13 = all_6_0)
% 194.73/31.82    (23)   ~ (e3 = e2)
% 194.73/31.82    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.73/31.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.73/31.82    (25)  op(e3, e2) = all_52_4
% 194.73/31.82    (26)  op(e2, e2) = all_4_2
% 194.73/31.82    (27)   ~ (all_52_4 = all_52_8)
% 194.73/31.82    (28)  all_54_13 = all_52_7
% 194.73/31.82    (29)   ~ (all_52_4 = all_52_7)
% 194.73/31.82    (30)   ~ (all_52_4 = e2)
% 194.73/31.82    (31)  all_54_9 = all_52_6
% 194.73/31.82    (32)  op(e0, e3) = all_52_3
% 194.73/31.82    (33)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.73/31.82    (34)   ~ (all_52_14 = e2)
% 194.73/31.82    (35)  op(e2, e0) = all_52_13
% 194.73/31.82    (36)  op(e1, e0) = all_52_14
% 194.73/31.82    (37)  all_54_8 = all_52_2
% 194.73/31.82    (38)   ~ (all_52_13 = e1)
% 194.73/31.82    (39)   ~ (all_52_2 = all_52_14)
% 194.73/31.82    (40)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.73/31.82              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.73/31.82            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.73/31.82            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.73/31.82            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.73/31.82            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.73/31.82            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.73/31.82            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.73/31.82            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.73/31.82            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.73/31.82            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.73/31.82            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.73/31.82            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.73/31.82            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.73/31.82            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.73/31.82            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.73/31.82            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.73/31.82            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.73/31.82            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.73/31.82            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.73/31.82            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.73/31.82            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.73/31.82            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.73/31.82            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.73/31.82            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.73/31.82            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.73/31.82            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.73/31.82            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.73/31.82            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.73/31.82            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.73/31.82            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.73/31.82            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.73/31.82            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.73/31.82            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.73/31.82            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.73/31.82            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.73/31.82            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.73/31.82            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.73/31.82            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.73/31.82            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.73/31.82            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.73/31.82            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.73/31.82            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.73/31.82            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.73/31.82            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.73/31.82            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.73/31.82            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.73/31.82            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.73/31.82              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.73/31.82            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.73/31.82            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.73/31.82              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.73/31.82            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.73/31.82            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.73/31.82                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.73/31.82                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.73/31.82                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.73/31.82                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.73/31.82                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.73/31.82                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.73/31.82                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.73/31.82              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.73/31.82                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.73/31.82                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.73/31.82                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.73/31.82                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.73/31.82                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.73/31.82                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.73/31.82                $i(all_57_7))))
% 194.73/31.82    (41)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.73/31.82          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.73/31.82    (42)   ~ (all_52_2 = e2)
% 194.73/31.82    (43)   ~ (all_52_9 = e2)
% 194.73/31.82    (44)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 194.76/31.82    (45)  op(e1, e3) = e1
% 194.76/31.82    (46)   ~ (all_52_7 = e1)
% 194.76/31.82    (47)   ~ (all_52_6 = e2)
% 194.76/31.82    (48)  op(e0, e1) = all_52_11
% 194.76/31.82    (49)   ~ (all_52_6 = all_52_14)
% 194.76/31.82    (50)   ~ (all_4_2 = e3)
% 194.76/31.82    (51)   ~ (all_52_8 = all_52_12)
% 194.76/31.82    (52)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.76/31.82    (53)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.76/31.82          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.76/31.82    (54)  all_54_11 = all_52_14
% 194.76/31.82    (55)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.76/31.82    (56)  op(e1, e1) = e2
% 194.76/31.82    (57)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.76/31.82          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.76/31.82    (58)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.82    (59)  all_56_6 = e1
% 194.76/31.82    (60)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 194.76/31.82          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 194.76/31.82    (61)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.76/31.82          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.76/31.82    (62)   ~ (all_52_13 = all_52_14)
% 194.76/31.82    (63)   ~ (all_52_2 = all_52_6)
% 194.76/31.82    (64)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.76/31.82    (65)   ~ (all_52_1 = e2)
% 194.76/31.82    (66)   ~ (e2 = e1)
% 194.76/31.82    (67)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 194.76/31.82    (68)   ~ (all_52_3 = e0)
% 194.76/31.82    (69)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 194.76/31.82            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 194.76/31.82              e1) = all_16_1 & $i(all_16_1))
% 194.76/31.82    (70)  op(e3, e0) = all_52_12
% 194.76/31.82    (71)  op(e2, e2) = e2
% 194.76/31.82    (72)  all_56_12 = e2
% 194.76/31.82    (73)   ~ (all_52_1 = all_52_2)
% 194.76/31.82    (74)  op(e2, e3) = all_6_0
% 194.76/31.82    (75)   ~ (all_52_4 = all_52_6)
% 194.76/31.82    (76)  op(e3, e1) = all_52_8
% 194.76/31.82    (77)   ~ (all_52_9 = all_52_13)
% 194.76/31.82    (78)   ~ (e3 = e1)
% 194.76/31.82    (79)  all_54_1 = all_52_4
% 194.76/31.82    (80)  op(e0, e2) = all_52_7
% 194.76/31.82    (81)   ~ (all_52_8 = e0)
% 194.76/31.82    (82)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.76/31.82    (83)   ~ (e3 = e0)
% 194.76/31.82    (84)   ~ (all_52_9 = all_52_11)
% 194.76/31.82    (85)  all_54_4 = all_6_0
% 194.76/31.82  
% 194.76/31.82  Begin of proof
% 194.76/31.82  | 
% 194.76/31.82  | BETA: splitting (61) gives:
% 194.76/31.82  | 
% 194.76/31.82  | Case 1:
% 194.76/31.82  | | 
% 194.76/31.82  | |   (86)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 194.76/31.82  | |           e3)
% 194.76/31.82  | | 
% 194.76/31.82  | | BETA: splitting (86) gives:
% 194.76/31.82  | | 
% 194.76/31.82  | | Case 1:
% 194.76/31.82  | | | 
% 194.76/31.82  | | |   (87)  all_56_0 = e3 & op(e3, e3) = e3
% 194.76/31.82  | | | 
% 194.76/31.82  | | | ALPHA: (87) implies:
% 194.76/31.82  | | |   (88)  op(e3, e3) = e3
% 194.76/31.82  | | | 
% 194.76/31.82  | | | REF_CLOSE: (2), (24), (83), (88) are inconsistent by sub-proof #1961.
% 194.76/31.82  | | | 
% 194.76/31.82  | | Case 2:
% 194.76/31.82  | | | 
% 194.76/31.82  | | |   (89)  all_56_2 = e3 & op(e2, e3) = e3
% 194.76/31.82  | | | 
% 194.76/31.82  | | | ALPHA: (89) implies:
% 194.76/31.82  | | |   (90)  all_56_2 = e3
% 194.76/31.82  | | | 
% 194.76/31.82  | | | BETA: splitting (57) gives:
% 194.76/31.82  | | | 
% 194.76/31.82  | | | Case 1:
% 194.76/31.82  | | | | 
% 194.76/31.82  | | | |   (91)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2)
% 194.76/31.82  | | | |           = e1)
% 194.76/31.82  | | | | 
% 194.76/31.82  | | | | REF_CLOSE: (24), (66), (71), (78), (90), (91) are inconsistent by
% 194.76/31.82  | | | |            sub-proof #661.
% 194.76/31.82  | | | | 
% 194.76/31.82  | | | Case 2:
% 194.76/31.82  | | | | 
% 194.76/31.82  | | | |   (92)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0)
% 194.76/31.82  | | | |           = e1)
% 194.76/31.82  | | | | 
% 194.76/31.82  | | | | BETA: splitting (92) gives:
% 194.76/31.82  | | | | 
% 194.76/31.82  | | | | Case 1:
% 194.76/31.82  | | | | | 
% 194.76/31.82  | | | | |   (93)  all_56_5 = e1 & op(e2, e1) = e1
% 194.76/31.82  | | | | | 
% 194.76/31.82  | | | | | ALPHA: (93) implies:
% 194.76/31.82  | | | | |   (94)  all_56_5 = e1
% 194.76/31.82  | | | | | 
% 194.76/31.82  | | | | | BETA: splitting (58) gives:
% 194.76/31.82  | | | | | 
% 194.76/31.82  | | | | | Case 1:
% 194.76/31.82  | | | | | | 
% 194.76/31.82  | | | | | |   (95)  all_54_4 = e3
% 194.76/31.82  | | | | | | 
% 194.76/31.82  | | | | | | COMBINE_EQS: (85), (95) imply:
% 194.76/31.82  | | | | | |   (96)  all_6_0 = e3
% 194.76/31.82  | | | | | | 
% 194.76/31.82  | | | | | | SIMP: (96) implies:
% 194.76/31.82  | | | | | |   (97)  all_6_0 = e3
% 194.76/31.82  | | | | | | 
% 194.76/31.82  | | | | | | REDUCE: (8), (97) imply:
% 194.76/31.82  | | | | | |   (98)   ~ (all_52_2 = e3)
% 194.76/31.82  | | | | | | 
% 194.76/31.82  | | | | | | REDUCE: (16), (97) imply:
% 194.76/31.82  | | | | | |   (99)   ~ (all_52_9 = e3)
% 194.76/31.82  | | | | | | 
% 194.76/31.82  | | | | | | REDUCE: (22), (97) imply:
% 194.76/31.82  | | | | | |   (100)   ~ (all_52_13 = e3)
% 194.76/31.82  | | | | | | 
% 194.76/31.82  | | | | | | REDUCE: (74), (97) imply:
% 194.76/31.82  | | | | | |   (101)  op(e2, e3) = e3
% 194.76/31.82  | | | | | | 
% 194.76/31.82  | | | | | | BETA: splitting (52) gives:
% 194.76/31.82  | | | | | | 
% 194.76/31.82  | | | | | | Case 1:
% 194.76/31.82  | | | | | | | 
% 194.76/31.82  | | | | | | |   (102)  all_54_8 = e3
% 194.76/31.82  | | | | | | | 
% 194.76/31.82  | | | | | | | REF_CLOSE: (37), (98), (102) are inconsistent by sub-proof #1162.
% 194.76/31.82  | | | | | | | 
% 194.76/31.82  | | | | | | Case 2:
% 194.76/31.82  | | | | | | | 
% 194.76/31.82  | | | | | | |   (103)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.76/31.82  | | | | | | | 
% 194.76/31.82  | | | | | | | BETA: splitting (103) gives:
% 194.76/31.82  | | | | | | | 
% 194.76/31.82  | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | 
% 194.76/31.82  | | | | | | | |   (104)  all_54_8 = e2
% 194.76/31.82  | | | | | | | | 
% 194.76/31.82  | | | | | | | | REF_CLOSE: (37), (42), (104) are inconsistent by sub-proof
% 194.76/31.82  | | | | | | | |            #1258.
% 194.76/31.82  | | | | | | | | 
% 194.76/31.82  | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | 
% 194.76/31.82  | | | | | | | |   (105)   ~ (all_54_8 = e2)
% 194.76/31.82  | | | | | | | |   (106)  all_54_8 = e1 | all_54_8 = e0
% 194.76/31.82  | | | | | | | | 
% 194.76/31.82  | | | | | | | | BETA: splitting (55) gives:
% 194.76/31.82  | | | | | | | | 
% 194.76/31.82  | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | 
% 194.76/31.82  | | | | | | | | |   (107)  all_54_7 = e3
% 194.76/31.82  | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | REF_CLOSE: (7), (100), (107) are inconsistent by sub-proof
% 194.76/31.82  | | | | | | | | |            #1484.
% 194.76/31.82  | | | | | | | | | 
% 194.76/31.82  | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | 
% 194.76/31.82  | | | | | | | | |   (108)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.76/31.82  | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | BETA: splitting (108) gives:
% 194.76/31.82  | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | |   (109)  all_54_7 = e2
% 194.76/31.82  | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | REF_CLOSE: (7), (21), (109) are inconsistent by sub-proof
% 194.76/31.82  | | | | | | | | | |            #1483.
% 194.76/31.82  | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | |   (110)   ~ (all_54_7 = e2)
% 194.76/31.82  | | | | | | | | | |   (111)  all_54_7 = e1 | all_54_7 = e0
% 194.76/31.82  | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | BETA: splitting (111) gives:
% 194.76/31.82  | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | |   (112)  all_54_7 = e1
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | REF_CLOSE: (7), (38), (112) are inconsistent by sub-proof
% 194.76/31.82  | | | | | | | | | | |            #1446.
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | |   (113)  all_54_7 = e0
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | COMBINE_EQS: (7), (113) imply:
% 194.76/31.82  | | | | | | | | | | |   (114)  all_52_13 = e0
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | SIMP: (114) implies:
% 194.76/31.82  | | | | | | | | | | |   (115)  all_52_13 = e0
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | REDUCE: (77), (115) imply:
% 194.76/31.82  | | | | | | | | | | |   (116)   ~ (all_52_9 = e0)
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | REDUCE: (62), (115) imply:
% 194.76/31.82  | | | | | | | | | | |   (117)   ~ (all_52_14 = e0)
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | SIMP: (117) implies:
% 194.76/31.82  | | | | | | | | | | |   (118)   ~ (all_52_14 = e0)
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | BETA: splitting (106) gives:
% 194.76/31.82  | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | |   (119)  all_54_8 = e1
% 194.76/31.82  | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | COMBINE_EQS: (37), (119) imply:
% 194.76/31.82  | | | | | | | | | | | |   (120)  all_52_2 = e1
% 194.76/31.82  | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | SIMP: (120) implies:
% 194.76/31.82  | | | | | | | | | | | |   (121)  all_52_2 = e1
% 194.76/31.82  | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | REDUCE: (63), (121) imply:
% 194.76/31.82  | | | | | | | | | | | |   (122)   ~ (all_52_6 = e1)
% 194.76/31.82  | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | SIMP: (122) implies:
% 194.76/31.82  | | | | | | | | | | | |   (123)   ~ (all_52_6 = e1)
% 194.76/31.82  | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | REDUCE: (39), (121) imply:
% 194.76/31.82  | | | | | | | | | | | |   (124)   ~ (all_52_14 = e1)
% 194.76/31.82  | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | SIMP: (124) implies:
% 194.76/31.82  | | | | | | | | | | | |   (125)   ~ (all_52_14 = e1)
% 194.76/31.82  | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | REDUCE: (42), (121) imply:
% 194.76/31.82  | | | | | | | | | | | |   (126)   ~ (e2 = e1)
% 194.76/31.82  | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | BETA: splitting (33) gives:
% 194.76/31.82  | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | |   (127)  all_54_11 = e3
% 194.76/31.82  | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | COMBINE_EQS: (54), (127) imply:
% 194.76/31.82  | | | | | | | | | | | | |   (128)  all_52_14 = e3
% 194.76/31.82  | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | SIMP: (128) implies:
% 194.76/31.82  | | | | | | | | | | | | |   (129)  all_52_14 = e3
% 194.76/31.82  | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | REDUCE: (49), (129) imply:
% 194.76/31.82  | | | | | | | | | | | | |   (130)   ~ (all_52_6 = e3)
% 194.76/31.82  | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | BETA: splitting (82) gives:
% 194.76/31.82  | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | |   (131)  all_54_9 = e3
% 194.76/31.82  | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | REF_CLOSE: (31), (130), (131) are inconsistent by sub-proof
% 194.76/31.82  | | | | | | | | | | | | | |            #715.
% 194.76/31.82  | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | |   (132)   ~ (all_54_9 = e3)
% 194.76/31.82  | | | | | | | | | | | | | |   (133)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.76/31.82  | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 194.76/31.82  | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | |   (134)  all_54_9 = e2
% 194.76/31.82  | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | REF_CLOSE: (31), (47), (134) are inconsistent by sub-proof
% 194.76/31.82  | | | | | | | | | | | | | | |            #1142.
% 194.76/31.82  | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | |   (135)   ~ (all_54_9 = e2)
% 194.76/31.82  | | | | | | | | | | | | | | |   (136)  all_54_9 = e1 | all_54_9 = e0
% 194.76/31.82  | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | |   (137)  all_54_9 = e1
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | REF_CLOSE: (31), (123), (137) are inconsistent by sub-proof
% 194.76/31.82  | | | | | | | | | | | | | | | |            #1804.
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | |   (138)  all_54_9 = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (138) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | |   (139)  all_52_6 = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | SIMP: (139) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | |   (140)  all_52_6 = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | REDUCE: (75), (140) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | |   (141)   ~ (all_52_4 = e0)
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | REDUCE: (15), (140) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | |   (142)   ~ (all_52_7 = e0)
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | SIMP: (142) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | |   (143)   ~ (all_52_7 = e0)
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | REDUCE: (130), (140) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | |   (144)   ~ (e3 = e0)
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | REDUCE: (47), (140) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | |   (145)   ~ (e2 = e0)
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | SIMP: (145) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | |   (146)   ~ (e2 = e0)
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | REDUCE: (123), (140) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | |   (147)   ~ (e1 = e0)
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | SIMP: (147) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | |   (148)   ~ (e1 = e0)
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | |   (149)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 194.76/31.82  | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 194.76/31.82  | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | |   (150)  all_56_1 = e1 & op(e3, e2) = e1
% 194.76/31.82  | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | | | |   (151)  all_56_1 = e1
% 194.76/31.82  | | | | | | | | | | | | | | | | | |   (152)  op(e3, e2) = e1
% 194.76/31.82  | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | |   (153)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | |   (154)  all_56_4 = e0 & op(e3, e1) = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (76), (81), (154) are inconsistent by
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | |            sub-proof #406.
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | |   (155)  all_56_5 = e0 & op(e2, e1) = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | ALPHA: (155) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | |   (156)  all_56_5 = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (148), (156) are inconsistent by sub-proof
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | |            #1842.
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | |   (157)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | |   (158)  all_56_8 = e0 & op(e1, e1) = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | ALPHA: (158) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | |   (159)  op(e1, e1) = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (56), (146), (159) are inconsistent by
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | |            sub-proof #1821.
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | |   (160)  all_56_14 = e0 & op(e0, e1) = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | |   (161)  op(e0, e1) = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | |   (162)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e3)
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | |   (163)  all_56_0 = e3 & op(e3, e3) = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | |   (164)  op(e3, e3) = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (18), (19), (20), (23), (24), (66),
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | |            (78), (83), (90), (146), (148), (164) are
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1720.
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | |   (165)  all_56_1 = e3 & op(e3, e2) = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (165) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | |   (166)  op(e3, e2) = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (78), (152), (166) are inconsistent by
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #739.
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | |   (167)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e3)
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | |   (168)  all_56_4 = e3 & op(e3, e1) = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | |   (169)  all_56_4 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | |   (170)  op(e3, e1) = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | |   (171)  all_54_13 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (171) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | |   (172)  all_52_7 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (172) implies:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_52_7 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (173) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | |   (174)   ~ (all_52_4 = e3)
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (173) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | |   (175)  op(e0, e2) = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_54_1 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (174), (176) are inconsistent by sub-proof
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | |            #1763.
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | |   (177)   ~ (all_54_1 = e3)
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_54_6 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (179) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (180)  all_52_9 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (180) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  $false
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (181) is inconsistent.
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  all_54_6 = e2
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (183) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_52_9 = e2
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (184) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)  $false
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (185) is inconsistent.
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  all_54_6 = e1 | all_54_6 = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_54_1 = e2
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (187) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_52_4 = e2
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (188) imply:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  $false
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (189) is inconsistent.
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_54_1 = e1 | all_54_1 = e0
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.76/31.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (25), (26), (50), (174), (193) are
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1530.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (27), (76), (79), (141), (148), (190),
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (194) are inconsistent by sub-proof #226.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (32), (51), (68), (70), (76), (170), (196)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #225.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (24), (66), (71), (123), (197) are
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1272.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  op(e2, e0) = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (24), (35), (202) are inconsistent by
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  op(e0, e2) = e0
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (83), (175), (204) are inconsistent by
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #618.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  op(e0, e1) = e1
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (24), (48), (84), (116), (186), (207) are
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1451.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  op(e1, e0) = e0
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (31), (36), (49), (123), (136), (209) are
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #231.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (212) implies:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  op(e3, e3) = e3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (24), (41), (53), (66), (83), (146), (148),
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (151), (169), (213) are inconsistent by sub-proof
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #977.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)   ~ (all_57_1 = e1)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  op(e1, e3) = all_57_1
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (45), (220), (221) are inconsistent by
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1326.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  op(e2, e3) = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (24), (101), (223) are inconsistent by
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1869.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (24), (26), (50), (78), (224) are
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #980.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (215), (226) are inconsistent by sub-proof
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #465.
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (24), (66), (71), (123), (227) are
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1782.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (69), (148), (161), (230) are
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)   ~ (all_57_8 = e0)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  op(e0, e1) = all_57_8
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (69), (161), (233), (234) are inconsistent
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #287.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (51), (70), (76), (170), (235) are
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #900.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (24), (35), (36), (125), (237) are
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #560.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  op(e2, e0) = e2
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (24), (35), (240) are inconsistent by
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  op(e1, e0) = e1
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (36), (125), (243) are inconsistent by
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (244) implies:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (26), (32), (50), (66), (68), (71),
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (148), (175), (245) are inconsistent by
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #262.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (24), (56), (66), (148), (246) are
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #437.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (28), (46), (143), (247) are inconsistent by
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1651.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | |   (248)  all_56_9 = e3 & op(e3, e0) = e3
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (248) are inconsistent by sub-proof
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | |            #525.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | |   (249)  all_56_3 = e1 & op(e2, e2) = e1
% 194.76/31.84  | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 194.76/31.84  | | | | | | | | | | | | | | | | | |   (250)  op(e2, e2) = e1
% 194.76/31.84  | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (66), (71), (250) are inconsistent by
% 194.76/31.84  | | | | | | | | | | | | | | | | | |            sub-proof #1783.
% 194.76/31.84  | | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | |   (251)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 194.76/31.84  | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 194.76/31.84  | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (24), (46), (80), (123), (251) are
% 194.76/31.84  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1101.
% 194.76/31.84  | | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | |   (252)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.76/31.84  | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | | REF_CLOSE: (34), (54), (118), (125), (252) are inconsistent
% 194.76/31.84  | | | | | | | | | | | | |            by sub-proof #1335.
% 194.76/31.84  | | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | Case 2:
% 194.76/31.84  | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | |   (253)  all_54_8 = e0
% 194.76/31.84  | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | | REF_CLOSE: (19), (37), (253) are inconsistent by sub-proof
% 194.76/31.84  | | | | | | | | | | | |            #1366.
% 194.76/31.84  | | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | | 
% 194.76/31.84  | | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | | 
% 194.76/31.84  | | | | | | | | End of split
% 194.76/31.84  | | | | | | | | 
% 194.76/31.84  | | | | | | | End of split
% 194.76/31.84  | | | | | | | 
% 194.76/31.84  | | | | | | End of split
% 194.76/31.84  | | | | | | 
% 194.76/31.84  | | | | | Case 2:
% 194.76/31.84  | | | | | | 
% 194.76/31.84  | | | | | |   (254)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.84  | | | | | | 
% 194.76/31.84  | | | | | | REF_CLOSE: (3), (5), (10), (24), (45), (65), (73), (254) are
% 194.76/31.84  | | | | | |            inconsistent by sub-proof #686.
% 194.76/31.84  | | | | | | 
% 194.76/31.84  | | | | | End of split
% 194.76/31.84  | | | | | 
% 194.76/31.84  | | | | Case 2:
% 194.76/31.84  | | | | | 
% 194.76/31.84  | | | | |   (255)  all_56_10 = e1 & op(e2, e0) = e1
% 194.76/31.84  | | | | | 
% 194.76/31.84  | | | | | ALPHA: (255) implies:
% 194.76/31.84  | | | | |   (256)  op(e2, e0) = e1
% 194.76/31.84  | | | | | 
% 194.76/31.84  | | | | | REF_CLOSE: (24), (35), (38), (256) are inconsistent by sub-proof
% 194.76/31.84  | | | | |            #1650.
% 194.76/31.84  | | | | | 
% 194.76/31.84  | | | | End of split
% 194.76/31.84  | | | | 
% 194.76/31.84  | | | End of split
% 194.76/31.84  | | | 
% 194.76/31.84  | | End of split
% 194.76/31.84  | | 
% 194.76/31.84  | Case 2:
% 194.76/31.84  | | 
% 194.76/31.84  | |   (257)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 194.76/31.84  | |            e3)
% 194.76/31.84  | | 
% 194.76/31.84  | | REF_CLOSE: (23), (59), (72), (78), (257) are inconsistent by sub-proof #742.
% 194.76/31.84  | | 
% 194.76/31.84  | End of split
% 194.76/31.84  | 
% 194.76/31.84  End of proof
% 194.76/31.84  
% 194.76/31.84  Sub-proof #225 shows that the following formulas are inconsistent:
% 194.76/31.84  ----------------------------------------------------------------
% 194.76/31.84    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.84           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.84    (2)  op(e0, e3) = all_52_3
% 194.76/31.84    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.76/31.84           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.76/31.84           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.76/31.84                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.76/31.84               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.76/31.84               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.76/31.84           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.76/31.84           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.76/31.84             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.84           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.76/31.84               = all_57_1 & $i(all_57_1))))
% 194.76/31.84    (4)  op(e3, e1) = e3
% 194.76/31.84    (5)   ~ (all_52_8 = all_52_12)
% 194.76/31.84    (6)   ~ (all_52_3 = e0)
% 194.76/31.84    (7)  op(e3, e0) = all_52_12
% 194.76/31.84    (8)  op(e3, e1) = all_52_8
% 194.76/31.84  
% 194.76/31.84  Begin of proof
% 194.76/31.84  | 
% 194.76/31.84  | BETA: splitting (3) gives:
% 194.76/31.84  | 
% 194.76/31.84  | Case 1:
% 194.76/31.84  | | 
% 194.76/31.84  | |   (9)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.76/31.84  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.76/31.84  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.76/31.84  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 194.76/31.84  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.76/31.84  | |            all_57_13 & $i(all_57_13)))
% 194.76/31.84  | | 
% 194.76/31.84  | | ALPHA: (9) implies:
% 194.76/31.84  | |   (10)  op(e3, e0) = e3
% 194.76/31.84  | | 
% 194.76/31.84  | | REF_CLOSE: (1), (4), (5), (7), (8), (10) are inconsistent by sub-proof
% 194.76/31.84  | |            #1912.
% 194.76/31.84  | | 
% 194.76/31.84  | Case 2:
% 194.76/31.84  | | 
% 194.76/31.84  | |   (11)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 194.76/31.84  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.76/31.84  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.76/31.84  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.76/31.84  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.76/31.84  | |             all_57_1 & $i(all_57_1)))
% 194.76/31.84  | | 
% 194.76/31.84  | | ALPHA: (11) implies:
% 194.76/31.84  | |   (12)  op(e0, e3) = e0
% 194.76/31.84  | | 
% 194.76/31.84  | | REF_CLOSE: (1), (2), (6), (12) are inconsistent by sub-proof #1935.
% 194.76/31.84  | | 
% 194.76/31.84  | End of split
% 194.76/31.84  | 
% 194.76/31.84  End of proof
% 194.76/31.84  
% 194.76/31.84  Sub-proof #226 shows that the following formulas are inconsistent:
% 194.76/31.84  ----------------------------------------------------------------
% 194.76/31.84    (1)  op(e3, e3) = e0
% 194.76/31.84    (2)  all_54_1 = e1 | all_54_1 = e0
% 194.76/31.84    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.84           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.84    (4)   ~ (all_52_4 = all_52_8)
% 194.76/31.84    (5)   ~ (all_52_4 = e0)
% 194.76/31.84    (6)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.76/31.84           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.76/31.84           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.76/31.84                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.76/31.84               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.76/31.84               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.76/31.84           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 194.76/31.84           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.76/31.84               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.84           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.76/31.84               = all_57_2 & $i(all_57_2))))
% 194.76/31.84    (7)   ~ (e1 = e0)
% 194.76/31.84    (8)  op(e3, e1) = all_52_8
% 194.76/31.84    (9)  all_54_1 = all_52_4
% 194.76/31.84  
% 194.76/31.84  Begin of proof
% 194.76/31.84  | 
% 194.76/31.84  | BETA: splitting (6) gives:
% 194.76/31.84  | 
% 194.76/31.84  | Case 1:
% 194.76/31.84  | | 
% 194.76/31.84  | |   (10)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.76/31.84  | |         op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.76/31.84  | |         $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 194.76/31.84  | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 =
% 194.76/31.84  | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.76/31.84  | |             all_57_8 & $i(all_57_8)))
% 194.76/31.84  | | 
% 194.76/31.84  | | ALPHA: (10) implies:
% 194.76/31.84  | |   (11)  op(e3, e3) = e1
% 194.76/31.84  | | 
% 194.76/31.84  | | REF_CLOSE: (1), (3), (7), (11) are inconsistent by sub-proof #1937.
% 194.76/31.84  | | 
% 194.76/31.84  | Case 2:
% 194.76/31.84  | | 
% 194.76/31.84  | |   (12)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.76/31.84  | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.76/31.84  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.76/31.84  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 194.76/31.84  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.76/31.84  | |             all_57_2 & $i(all_57_2)))
% 194.76/31.84  | | 
% 194.76/31.84  | | ALPHA: (12) implies:
% 194.76/31.84  | |   (13)  op(e3, e1) = e1
% 194.76/31.84  | | 
% 194.76/31.84  | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (13) are inconsistent by sub-proof
% 194.76/31.84  | |            #695.
% 194.76/31.84  | | 
% 194.76/31.84  | End of split
% 194.76/31.84  | 
% 194.76/31.84  End of proof
% 194.76/31.84  
% 194.76/31.84  Sub-proof #227 shows that the following formulas are inconsistent:
% 194.76/31.84  ----------------------------------------------------------------
% 194.76/31.84    (1)  op(e3, e3) = e0
% 194.76/31.84    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.76/31.84         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.76/31.84    (3)   ~ (all_6_0 = e2)
% 194.76/31.84    (4)   ~ (all_52_9 = all_6_0)
% 194.76/31.84    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.76/31.84         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.76/31.84    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.76/31.84         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.76/31.84    (7)   ~ (all_52_13 = all_6_0)
% 194.76/31.84    (8)   ~ (e3 = e2)
% 194.76/31.84    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.84           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.84    (10)  op(e2, e2) = all_4_2
% 194.76/31.84    (11)  op(e2, e0) = all_52_13
% 194.76/31.84    (12)   ~ (all_6_0 = e1)
% 194.76/31.84    (13)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.76/31.84          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.76/31.84    (14)   ~ (all_4_2 = e3)
% 194.76/31.84    (15)   ~ (e1 = e0)
% 194.76/31.84    (16)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.84    (17)  all_56_2 = e1
% 194.76/31.84    (18)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.76/31.84          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.76/31.84    (19)   ~ (e2 = e1)
% 194.76/31.84    (20)  op(e2, e1) = all_52_9
% 194.76/31.84    (21)  all_56_12 = e2
% 194.76/31.84    (22)   ~ (all_6_0 = e0)
% 194.76/31.84    (23)   ~ (e3 = e1)
% 194.76/31.84    (24)   ~ (e2 = e0)
% 194.76/31.84    (25)   ~ (e3 = e0)
% 194.76/31.84    (26)  all_54_4 = all_6_0
% 194.76/31.84  
% 194.76/31.84  Begin of proof
% 194.76/31.84  | 
% 194.76/31.84  | BETA: splitting (18) gives:
% 194.76/31.84  | 
% 194.76/31.84  | Case 1:
% 194.76/31.84  | | 
% 194.76/31.85  | |   (27)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 194.76/31.85  | |           e3)
% 194.76/31.85  | | 
% 194.76/31.85  | | REF_CLOSE: (1), (9), (17), (23), (25), (27) are inconsistent by sub-proof
% 194.76/31.85  | |            #309.
% 194.76/31.85  | | 
% 194.76/31.85  | Case 2:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (28)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 194.76/31.85  | |           e3)
% 194.76/31.85  | | 
% 194.76/31.85  | | BETA: splitting (28) gives:
% 194.76/31.85  | | 
% 194.76/31.85  | | Case 1:
% 194.76/31.85  | | | 
% 194.76/31.85  | | |   (29)  all_56_6 = e3 & op(e1, e3) = e3
% 194.76/31.85  | | | 
% 194.76/31.85  | | | ALPHA: (29) implies:
% 194.76/31.85  | | |   (30)  all_56_6 = e3
% 194.76/31.85  | | | 
% 194.76/31.85  | | | BETA: splitting (16) gives:
% 194.76/31.85  | | | 
% 194.76/31.85  | | | Case 1:
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | |   (31)  all_54_4 = e3
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | | COMBINE_EQS: (26), (31) imply:
% 194.76/31.85  | | | |   (32)  all_6_0 = e3
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | | SIMP: (32) implies:
% 194.76/31.85  | | | |   (33)  all_6_0 = e3
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | | REDUCE: (4), (33) imply:
% 194.76/31.85  | | | |   (34)   ~ (all_52_9 = e3)
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | | REDUCE: (7), (33) imply:
% 194.76/31.85  | | | |   (35)   ~ (all_52_13 = e3)
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | | REF_CLOSE: (2), (5), (6), (8), (9), (10), (11), (13), (14), (15), (19),
% 194.76/31.85  | | | |            (20), (23), (24), (25), (30), (34), (35) are inconsistent by
% 194.76/31.85  | | | |            sub-proof #1454.
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | Case 2:
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | |   (36)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | | REF_CLOSE: (3), (12), (22), (26), (36) are inconsistent by sub-proof
% 194.76/31.85  | | | |            #265.
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | End of split
% 194.76/31.85  | | | 
% 194.76/31.85  | | Case 2:
% 194.76/31.85  | | | 
% 194.76/31.85  | | |   (37)  all_56_12 = e3 & op(e0, e3) = e3
% 194.76/31.85  | | | 
% 194.76/31.85  | | | ALPHA: (37) implies:
% 194.76/31.85  | | |   (38)  all_56_12 = e3
% 194.76/31.85  | | | 
% 194.76/31.85  | | | REF_CLOSE: (8), (21), (38) are inconsistent by sub-proof #1354.
% 194.76/31.85  | | | 
% 194.76/31.85  | | End of split
% 194.76/31.85  | | 
% 194.76/31.85  | End of split
% 194.76/31.85  | 
% 194.76/31.85  End of proof
% 194.76/31.85  
% 194.76/31.85  Sub-proof #228 shows that the following formulas are inconsistent:
% 194.76/31.85  ----------------------------------------------------------------
% 194.76/31.85    (1)  op(e1, e3) = all_52_2
% 194.76/31.85    (2)   ~ (all_52_3 = e3)
% 194.76/31.85    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.85           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.85    (4)  op(e0, e3) = all_52_3
% 194.76/31.85    (5)   ~ (all_52_2 = e3)
% 194.76/31.85    (6)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.76/31.85  
% 194.76/31.85  Begin of proof
% 194.76/31.85  | 
% 194.76/31.85  | BETA: splitting (6) gives:
% 194.76/31.85  | 
% 194.76/31.85  | Case 1:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (7)  all_56_6 = e3 & op(e1, e3) = e3
% 194.76/31.85  | | 
% 194.76/31.85  | | ALPHA: (7) implies:
% 194.76/31.85  | |   (8)  op(e1, e3) = e3
% 194.76/31.85  | | 
% 194.76/31.85  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1179.
% 194.76/31.85  | | 
% 194.76/31.85  | Case 2:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (9)  all_56_12 = e3 & op(e0, e3) = e3
% 194.76/31.85  | | 
% 194.76/31.85  | | ALPHA: (9) implies:
% 194.76/31.85  | |   (10)  op(e0, e3) = e3
% 194.76/31.85  | | 
% 194.76/31.85  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #323.
% 194.76/31.85  | | 
% 194.76/31.85  | End of split
% 194.76/31.85  | 
% 194.76/31.85  End of proof
% 194.76/31.85  
% 194.76/31.85  Sub-proof #229 shows that the following formulas are inconsistent:
% 194.76/31.85  ----------------------------------------------------------------
% 194.76/31.85    (1)   ~ (e3 = e2)
% 194.76/31.85    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.85           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.85    (3)  op(e2, e2) = all_4_2
% 194.76/31.85    (4)  op(e2, e0) = e2
% 194.76/31.85    (5)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 194.76/31.85           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 194.76/31.85             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 194.76/31.85    (6)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.76/31.85         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.76/31.85    (7)   ~ (all_4_2 = e3)
% 194.76/31.85    (8)  all_56_5 = e0
% 194.76/31.85    (9)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.76/31.85         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.76/31.85    (10)   ~ (e1 = e0)
% 194.76/31.85    (11)  all_36_2 = e0
% 194.76/31.85    (12)   ~ (e2 = e1)
% 194.76/31.85    (13)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.76/31.85          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.76/31.85    (14)  op(e2, e2) = e0
% 194.76/31.85    (15)   ~ (e3 = e1)
% 194.76/31.85    (16)   ~ (e2 = e0)
% 194.76/31.85    (17)   ~ (e3 = e0)
% 194.76/31.85  
% 194.76/31.85  Begin of proof
% 194.76/31.85  | 
% 194.76/31.85  | BETA: splitting (6) gives:
% 194.76/31.85  | 
% 194.76/31.85  | Case 1:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (18)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 194.76/31.85  | |           e3)
% 194.76/31.85  | | 
% 194.76/31.85  | | REF_CLOSE: (1), (2), (3), (7), (8), (9), (10), (12), (13), (14), (15), (16),
% 194.76/31.85  | |            (18) are inconsistent by sub-proof #234.
% 194.76/31.85  | | 
% 194.76/31.85  | Case 2:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (19)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 194.76/31.85  | |           e3)
% 194.76/31.85  | | 
% 194.76/31.85  | | BETA: splitting (19) gives:
% 194.76/31.85  | | 
% 194.76/31.85  | | Case 1:
% 194.76/31.85  | | | 
% 194.76/31.85  | | |   (20)  all_56_5 = e3 & op(e2, e1) = e3
% 194.76/31.85  | | | 
% 194.76/31.85  | | | ALPHA: (20) implies:
% 194.76/31.85  | | |   (21)  all_56_5 = e3
% 194.76/31.85  | | | 
% 194.76/31.85  | | | REF_CLOSE: (8), (17), (21) are inconsistent by sub-proof #1838.
% 194.76/31.85  | | | 
% 194.76/31.85  | | Case 2:
% 194.76/31.85  | | | 
% 194.76/31.85  | | |   (22)  all_56_10 = e3 & op(e2, e0) = e3
% 194.76/31.85  | | | 
% 194.76/31.85  | | | ALPHA: (22) implies:
% 194.76/31.85  | | |   (23)  op(e2, e0) = e3
% 194.76/31.85  | | | 
% 194.76/31.85  | | | REF_CLOSE: (1), (2), (4), (5), (11), (23) are inconsistent by sub-proof
% 194.76/31.85  | | |            #1706.
% 194.76/31.85  | | | 
% 194.76/31.85  | | End of split
% 194.76/31.85  | | 
% 194.76/31.85  | End of split
% 194.76/31.85  | 
% 194.76/31.85  End of proof
% 194.76/31.85  
% 194.76/31.85  Sub-proof #230 shows that the following formulas are inconsistent:
% 194.76/31.85  ----------------------------------------------------------------
% 194.76/31.85    (1)  op(e1, e0) = e0
% 194.76/31.85    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.85           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.85    (3)  all_54_9 = all_52_6
% 194.76/31.85    (4)  op(e1, e0) = all_52_14
% 194.76/31.85    (5)   ~ (all_52_6 = e2)
% 194.76/31.85    (6)   ~ (all_52_6 = all_52_14)
% 194.76/31.85    (7)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.76/31.85    (8)   ~ (all_52_6 = e1)
% 194.76/31.85  
% 194.76/31.85  Begin of proof
% 194.76/31.85  | 
% 194.76/31.85  | BETA: splitting (7) gives:
% 194.76/31.85  | 
% 194.76/31.85  | Case 1:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (9)  all_54_9 = e2
% 194.76/31.85  | | 
% 194.76/31.85  | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #1142.
% 194.76/31.85  | | 
% 194.76/31.85  | Case 2:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (10)  all_54_9 = e1 | all_54_9 = e0
% 194.76/31.85  | | 
% 194.76/31.85  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (10) are inconsistent by sub-proof
% 194.76/31.85  | |            #231.
% 194.76/31.85  | | 
% 194.76/31.85  | End of split
% 194.76/31.85  | 
% 194.76/31.85  End of proof
% 194.76/31.85  
% 194.76/31.85  Sub-proof #231 shows that the following formulas are inconsistent:
% 194.76/31.85  ----------------------------------------------------------------
% 194.76/31.85    (1)  op(e1, e0) = e0
% 194.76/31.85    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.85           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.85    (3)  all_54_9 = all_52_6
% 194.76/31.85    (4)  op(e1, e0) = all_52_14
% 194.76/31.85    (5)   ~ (all_52_6 = all_52_14)
% 194.76/31.85    (6)  all_54_9 = e1 | all_54_9 = e0
% 194.76/31.85    (7)   ~ (all_52_6 = e1)
% 194.76/31.85  
% 194.76/31.85  Begin of proof
% 194.76/31.85  | 
% 194.76/31.85  | BETA: splitting (6) gives:
% 194.76/31.85  | 
% 194.76/31.85  | Case 1:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (8)  all_54_9 = e1
% 194.76/31.85  | | 
% 194.76/31.85  | | REF_CLOSE: (3), (7), (8) are inconsistent by sub-proof #1804.
% 194.76/31.85  | | 
% 194.76/31.85  | Case 2:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (9)  all_54_9 = e0
% 194.76/31.85  | | 
% 194.76/31.85  | | COMBINE_EQS: (3), (9) imply:
% 194.76/31.85  | |   (10)  all_52_6 = e0
% 194.76/31.85  | | 
% 194.76/31.85  | | SIMP: (10) implies:
% 194.76/31.85  | |   (11)  all_52_6 = e0
% 194.76/31.85  | | 
% 194.76/31.85  | | REDUCE: (5), (11) imply:
% 194.76/31.85  | |   (12)   ~ (all_52_14 = e0)
% 194.76/31.85  | | 
% 194.76/31.85  | | SIMP: (12) implies:
% 194.76/31.85  | |   (13)   ~ (all_52_14 = e0)
% 194.76/31.85  | | 
% 194.76/31.85  | | REF_CLOSE: (1), (2), (4), (13) are inconsistent by sub-proof #1884.
% 194.76/31.85  | | 
% 194.76/31.85  | End of split
% 194.76/31.85  | 
% 194.76/31.85  End of proof
% 194.76/31.85  
% 194.76/31.85  Sub-proof #232 shows that the following formulas are inconsistent:
% 194.76/31.85  ----------------------------------------------------------------
% 194.76/31.85    (1)  op(e3, e3) = e0
% 194.76/31.85    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.76/31.85           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.76/31.85           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.76/31.85                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.76/31.85               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.76/31.85               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.76/31.85           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.76/31.85           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.76/31.85               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.76/31.85           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.76/31.85               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.76/31.85           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.76/31.85           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.76/31.85               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.76/31.85               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.76/31.85               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.85         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.76/31.85           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.76/31.85           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.76/31.85               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.76/31.85             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.76/31.85         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.76/31.85           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.76/31.85           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.76/31.85                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.76/31.85               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.76/31.85               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.76/31.85           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.76/31.85           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.76/31.85             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.85           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.76/31.85               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.76/31.85           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.76/31.85           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.76/31.85               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.76/31.85               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.76/31.85               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.85         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.76/31.85           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.76/31.85           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.76/31.85               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.76/31.85             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.76/31.85         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.76/31.85           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.76/31.85           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.76/31.85                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.76/31.85               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.76/31.85               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.76/31.85           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.76/31.85             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.76/31.85               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.76/31.85           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.76/31.85               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.76/31.85           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.76/31.85           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.76/31.85               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.76/31.85               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.76/31.85               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.76/31.85         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.76/31.85           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.76/31.85           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.76/31.85               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.76/31.85             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.76/31.85         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.76/31.85             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.85           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.76/31.85               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.76/31.85             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.76/31.85         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.76/31.85             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.76/31.85           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.76/31.85               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.76/31.85             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.76/31.85         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.76/31.85             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.76/31.85           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.76/31.85               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.76/31.85             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.85         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.76/31.85             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.76/31.85           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.76/31.85               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.76/31.85             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.76/31.85    (3)  op(e1, e2) = all_52_6
% 194.76/31.85    (4)   ~ (e3 = e2)
% 194.76/31.85    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.85           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.85    (6)  op(e2, e2) = e1
% 194.76/31.85    (7)  op(e0, e3) = all_52_3
% 194.76/31.85    (8)   ~ (all_52_6 = e2)
% 194.76/31.85    (9)   ~ (all_52_12 = e3)
% 194.76/31.85    (10)  op(e1, e1) = e2
% 194.76/31.85    (11)   ~ (e1 = e0)
% 194.76/31.85    (12)   ~ (e2 = e1)
% 194.76/31.85    (13)   ~ (all_52_3 = e0)
% 194.76/31.85    (14)  op(e3, e0) = all_52_12
% 194.76/31.85    (15)  op(e0, e0) = e3
% 194.76/31.85    (16)   ~ (e3 = e1)
% 194.76/31.85    (17)   ~ (all_52_6 = e1)
% 194.76/31.85    (18)   ~ (e2 = e0)
% 194.76/31.85    (19)   ~ (e3 = e0)
% 194.76/31.85  
% 194.76/31.85  Begin of proof
% 194.76/31.85  | 
% 194.76/31.85  | BETA: splitting (2) gives:
% 194.76/31.85  | 
% 194.76/31.85  | Case 1:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (20)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.76/31.85  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.76/31.85  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.76/31.85  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.76/31.85  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.76/31.85  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 194.76/31.85  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.76/31.85  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 194.76/31.85  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.76/31.85  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.76/31.85  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.76/31.85  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 194.76/31.85  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 194.76/31.85  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.76/31.85  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.76/31.85  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.76/31.85  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.76/31.85  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.76/31.85  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.76/31.85  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.76/31.85  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.85  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.76/31.85  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 194.76/31.85  | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0,
% 194.76/31.85  | |             e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 194.76/31.85  | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.76/31.85  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 194.76/31.85  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.76/31.85  | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15
% 194.76/31.85  | |           = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0
% 194.76/31.85  | |           & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 194.76/31.85  | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.76/31.85  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.76/31.85  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.76/31.85  | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.76/31.85  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.76/31.85  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.76/31.85  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.76/31.85  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.85  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 194.76/31.85  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.76/31.85  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 194.76/31.85  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.76/31.85  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.76/31.85  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.76/31.85  | |               $i(all_57_5))))
% 194.76/31.85  | | 
% 194.76/31.85  | | BETA: splitting (20) gives:
% 194.76/31.85  | | 
% 194.76/31.85  | | Case 1:
% 194.76/31.85  | | | 
% 194.76/31.85  | | |   (21)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 194.76/31.85  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.76/31.85  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.76/31.85  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.76/31.85  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.76/31.85  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 194.76/31.85  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.76/31.85  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 194.76/31.85  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.76/31.85  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 194.76/31.85  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.76/31.85  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 194.76/31.85  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 194.76/31.85  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.76/31.85  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.76/31.85  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.76/31.85  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.76/31.85  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 194.76/31.85  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.76/31.85  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 194.76/31.85  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.76/31.85  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.76/31.85  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.76/31.85  | | |               $i(all_57_2))))
% 194.76/31.85  | | | 
% 194.76/31.85  | | | BETA: splitting (21) gives:
% 194.76/31.85  | | | 
% 194.76/31.85  | | | Case 1:
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | |   (22)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 194.76/31.85  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 194.76/31.85  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 194.76/31.85  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.76/31.85  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.76/31.85  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.76/31.85  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 194.76/31.85  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 194.76/31.85  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.76/31.85  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.76/31.85  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.76/31.85  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | | REF_CLOSE: (1), (5), (6), (16), (18), (22) are inconsistent by sub-proof
% 194.76/31.85  | | | |            #364.
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | Case 2:
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | |   (23)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 194.76/31.85  | | | |           e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 194.76/31.85  | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 194.76/31.85  | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.76/31.85  | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.76/31.85  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 194.76/31.85  | | | |         | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.76/31.85  | | | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 194.76/31.85  | | | |           e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.76/31.85  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.85  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.76/31.85  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | | REF_CLOSE: (1), (4), (5), (10), (11), (23) are inconsistent by sub-proof
% 194.76/31.85  | | | |            #233.
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | End of split
% 194.76/31.85  | | | 
% 194.76/31.85  | | Case 2:
% 194.76/31.85  | | | 
% 194.76/31.85  | | |   (24)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 194.76/31.85  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.76/31.85  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.76/31.85  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 194.76/31.85  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.76/31.85  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.76/31.85  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.76/31.85  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.76/31.85  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.76/31.85  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 194.76/31.85  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.76/31.85  | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2
% 194.76/31.85  | | |           & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1,
% 194.76/31.85  | | |             e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.76/31.85  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.76/31.85  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.76/31.85  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.76/31.85  | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 194.76/31.85  | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.76/31.85  | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 194.76/31.85  | | |               = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.76/31.85  | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.76/31.85  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.76/31.85  | | |               $i(all_57_5))))
% 194.76/31.85  | | | 
% 194.76/31.85  | | | BETA: splitting (24) gives:
% 194.76/31.85  | | | 
% 194.76/31.85  | | | Case 1:
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | |   (25)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 194.76/31.85  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 194.76/31.85  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 194.76/31.85  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.76/31.85  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 194.76/31.85  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.76/31.85  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 194.76/31.85  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.76/31.85  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.76/31.85  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.76/31.85  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.76/31.85  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.76/31.85  | | | |               all_57_1 & $i(all_57_1))))
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | | REF_CLOSE: (5), (7), (9), (13), (14), (25) are inconsistent by sub-proof
% 194.76/31.85  | | | |            #397.
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | Case 2:
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | |   (26)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 194.76/31.85  | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 194.76/31.85  | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.76/31.85  | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.76/31.85  | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.76/31.85  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 194.76/31.85  | | | |         | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.76/31.85  | | | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 194.76/31.85  | | | |           e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.76/31.85  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.76/31.85  | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.76/31.85  | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | | REF_CLOSE: (3), (5), (8), (17), (26) are inconsistent by sub-proof #425.
% 194.76/31.85  | | | | 
% 194.76/31.85  | | | End of split
% 194.76/31.85  | | | 
% 194.76/31.85  | | End of split
% 194.76/31.85  | | 
% 194.76/31.85  | Case 2:
% 194.76/31.85  | | 
% 194.76/31.85  | |   (27)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.76/31.85  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.76/31.85  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.85  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.76/31.85  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.76/31.85  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.76/31.85  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 194.76/31.85  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.76/31.85  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.76/31.85  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 194.76/31.85  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.76/31.85  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 194.76/31.85  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.76/31.85  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 194.76/31.85  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.76/31.85  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.76/31.85  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.76/31.85  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.76/31.85  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.76/31.85  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.76/31.85  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.76/31.85  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 194.76/31.85  | |                 e1) = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 194.76/31.85  | |             e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.76/31.85  | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.76/31.85  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.76/31.85  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.76/31.85  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.76/31.85  | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 194.76/31.85  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.76/31.85  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 194.76/31.85  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.76/31.85  | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.76/31.85  | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.76/31.85  | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 194.76/31.85  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.76/31.85  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.76/31.85  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.76/31.85  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.76/31.85  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 194.76/31.85  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.76/31.85  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 194.76/31.85  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.76/31.85  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 194.76/31.85  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.76/31.85  | |               $i(all_57_13))))
% 194.76/31.85  | | 
% 194.76/31.85  | | BETA: splitting (27) gives:
% 194.76/31.85  | | 
% 194.76/31.85  | | Case 1:
% 194.76/31.85  | | | 
% 194.76/31.86  | | |   (28)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 194.76/31.86  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.76/31.86  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.86  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.76/31.86  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.76/31.86  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.76/31.86  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 194.76/31.86  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.76/31.86  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.76/31.86  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.76/31.86  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.76/31.86  | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 194.76/31.86  | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 194.76/31.86  | | |           e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.86  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.76/31.86  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.76/31.86  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.76/31.86  | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 194.76/31.86  | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.76/31.86  | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10
% 194.76/31.86  | | |               = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.76/31.86  | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 194.76/31.86  | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.76/31.86  | | |               $i(all_57_7))))
% 194.76/31.86  | | | 
% 194.76/31.86  | | | REF_CLOSE: (4), (5), (6), (10), (11), (15), (16), (18), (28) are
% 194.76/31.86  | | |            inconsistent by sub-proof #451.
% 194.76/31.86  | | | 
% 194.76/31.86  | | Case 2:
% 194.76/31.86  | | | 
% 194.76/31.86  | | |   (29)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 194.76/31.86  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.76/31.86  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.76/31.86  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.76/31.86  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.76/31.86  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 194.76/31.86  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.76/31.86  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.76/31.86  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.76/31.86  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.76/31.86  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.76/31.86  | | |               all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) =
% 194.76/31.86  | | |           e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.76/31.86  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 194.76/31.86  | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.76/31.86  | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 194.76/31.86  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.76/31.86  | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 194.76/31.86  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.76/31.86  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.76/31.86  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.76/31.86  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 194.76/31.86  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.76/31.86  | | |               $i(all_57_13))))
% 194.76/31.86  | | | 
% 194.76/31.86  | | | BETA: splitting (29) gives:
% 194.76/31.86  | | | 
% 194.76/31.86  | | | Case 1:
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | |   (30)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 194.76/31.86  | | | |                 e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 194.76/31.86  | | | |               & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 194.76/31.86  | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 194.76/31.86  | | | |           & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.76/31.86  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2
% 194.76/31.86  | | | |           & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.76/31.86  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.76/31.86  | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.76/31.86  | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 194.76/31.86  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.76/31.86  | | | |               all_57_5 & $i(all_57_5))))
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | REF_CLOSE: (1), (5), (6), (12), (19), (30) are inconsistent by sub-proof
% 194.76/31.86  | | | |            #357.
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | Case 2:
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | |   (31)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 194.76/31.86  | | | |                 e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 194.76/31.86  | | | |               & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 194.76/31.86  | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 194.76/31.86  | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 194.76/31.86  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0
% 194.76/31.86  | | | |           & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.76/31.86  | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.76/31.86  | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.76/31.86  | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 194.76/31.86  | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 194.76/31.86  | | | |               = all_57_13 & $i(all_57_13))))
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | REF_CLOSE: (5), (10), (12), (15), (19), (31) are inconsistent by
% 194.76/31.86  | | | |            sub-proof #450.
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | End of split
% 194.76/31.86  | | | 
% 194.76/31.86  | | End of split
% 194.76/31.86  | | 
% 194.76/31.86  | End of split
% 194.76/31.86  | 
% 194.76/31.86  End of proof
% 194.76/31.86  
% 194.76/31.86  Sub-proof #233 shows that the following formulas are inconsistent:
% 194.76/31.86  ----------------------------------------------------------------
% 194.76/31.86    (1)  op(e3, e3) = e0
% 194.76/31.86    (2)   ~ (e3 = e2)
% 194.76/31.86    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.86    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.76/31.86           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.76/31.86           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.76/31.86                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.76/31.86               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.76/31.86               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.76/31.86           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 194.76/31.86           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.76/31.86               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.86           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.76/31.86               = all_57_2 & $i(all_57_2))))
% 194.76/31.86    (5)  op(e1, e1) = e2
% 194.76/31.86    (6)   ~ (e1 = e0)
% 194.76/31.86  
% 194.76/31.86  Begin of proof
% 194.76/31.86  | 
% 194.76/31.86  | BETA: splitting (4) gives:
% 194.76/31.86  | 
% 194.76/31.86  | Case 1:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.76/31.86  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.76/31.86  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.76/31.86  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 194.76/31.86  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.76/31.86  | |            & $i(all_57_8)))
% 194.76/31.86  | | 
% 194.76/31.86  | | ALPHA: (7) implies:
% 194.76/31.86  | |   (8)  op(e3, e3) = e1
% 194.76/31.86  | | 
% 194.76/31.86  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1937.
% 194.76/31.86  | | 
% 194.76/31.86  | Case 2:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.76/31.86  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.76/31.86  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.76/31.86  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.76/31.86  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 194.76/31.86  | |            & $i(all_57_2)))
% 194.76/31.86  | | 
% 194.76/31.86  | | ALPHA: (9) implies:
% 194.76/31.86  | |   (10)  op(e1, e1) = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1777.
% 194.76/31.86  | | 
% 194.76/31.86  | End of split
% 194.76/31.86  | 
% 194.76/31.86  End of proof
% 194.76/31.86  
% 194.76/31.86  Sub-proof #234 shows that the following formulas are inconsistent:
% 194.76/31.86  ----------------------------------------------------------------
% 194.76/31.86    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 194.76/31.86    (2)   ~ (e3 = e2)
% 194.76/31.86    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.86    (4)  op(e2, e2) = all_4_2
% 194.76/31.86    (5)   ~ (all_4_2 = e3)
% 194.76/31.86    (6)  all_56_5 = e0
% 194.76/31.86    (7)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.76/31.86         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.76/31.86    (8)   ~ (e1 = e0)
% 194.76/31.86    (9)   ~ (e2 = e1)
% 194.76/31.86    (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.76/31.86          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.76/31.86    (11)  op(e2, e2) = e0
% 194.76/31.86    (12)   ~ (e3 = e1)
% 194.76/31.86    (13)   ~ (e2 = e0)
% 194.76/31.86  
% 194.76/31.86  Begin of proof
% 194.76/31.86  | 
% 194.76/31.86  | BETA: splitting (1) gives:
% 194.76/31.86  | 
% 194.76/31.86  | Case 1:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (14)  all_56_2 = e3 & op(e2, e3) = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | ALPHA: (14) implies:
% 194.76/31.86  | |   (15)  all_56_2 = e3
% 194.76/31.86  | |   (16)  op(e2, e3) = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (10), (11), (12), (13), (15), (16)
% 194.76/31.86  | |            are inconsistent by sub-proof #293.
% 194.76/31.86  | | 
% 194.76/31.86  | Case 2:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (17)  all_56_3 = e3 & op(e2, e2) = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | ALPHA: (17) implies:
% 194.76/31.86  | |   (18)  op(e2, e2) = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | REF_CLOSE: (3), (4), (5), (18) are inconsistent by sub-proof #1975.
% 194.76/31.86  | | 
% 194.76/31.86  | End of split
% 194.76/31.86  | 
% 194.76/31.86  End of proof
% 194.76/31.86  
% 194.76/31.86  Sub-proof #235 shows that the following formulas are inconsistent:
% 194.76/31.86  ----------------------------------------------------------------
% 194.76/31.86    (1)  op(e1, e3) = all_52_2
% 194.76/31.86    (2)   ~ (all_52_13 = e3)
% 194.76/31.86    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.76/31.86         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.76/31.86    (4)   ~ (all_52_14 = all_18_0)
% 194.76/31.86    (5)   ~ (all_6_0 = e2)
% 194.76/31.86    (6)   ~ (all_52_9 = all_6_0)
% 194.76/31.86    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.76/31.86         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.76/31.86    (8)   ~ (all_52_2 = e0)
% 194.76/31.86    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.76/31.86         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.76/31.86    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.86            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.86    (11)  op(e2, e2) = all_4_2
% 194.76/31.86    (12)   ~ (all_18_0 = e2)
% 194.76/31.86    (13)   ~ (all_18_0 = e1)
% 194.76/31.86    (14)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 194.76/31.86          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.76/31.86    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.76/31.86          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.76/31.86    (16)  op(e3, e0) = all_8_1
% 194.76/31.86    (17)   ~ (all_18_0 = all_6_0)
% 194.76/31.86    (18)   ~ (all_52_14 = e3)
% 194.76/31.86    (19)   ~ (all_52_14 = e2)
% 194.76/31.86    (20)  op(e2, e0) = all_52_13
% 194.76/31.86    (21)  op(e1, e0) = all_52_14
% 194.76/31.86    (22)   ~ (all_6_0 = e1)
% 194.76/31.86    (23)  all_54_7 = all_18_0
% 194.76/31.86    (24)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.76/31.86          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.76/31.86    (25)   ~ (all_4_2 = e3)
% 194.76/31.86    (26)   ~ (all_8_1 = e1)
% 194.76/31.86    (27)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.76/31.86    (28)  op(e1, e1) = e2
% 194.76/31.86    (29)   ~ (e1 = e0)
% 194.76/31.86    (30)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.86    (31)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.76/31.86              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.76/31.86                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.76/31.86                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.76/31.86    (32)   ~ (e2 = e1)
% 194.76/31.86    (33)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.76/31.86          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.76/31.86    (34)  op(e2, e1) = all_52_9
% 194.76/31.86    (35)   ~ (all_6_0 = e0)
% 194.76/31.86    (36)  op(e0, e0) = e3
% 194.76/31.86    (37)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.76/31.86          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.76/31.86    (38)   ~ (e2 = e0)
% 194.76/31.86    (39)  all_54_4 = all_6_0
% 194.76/31.86  
% 194.76/31.86  Begin of proof
% 194.76/31.86  | 
% 194.76/31.86  | BETA: splitting (30) gives:
% 194.76/31.86  | 
% 194.76/31.86  | Case 1:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (40)  all_54_4 = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | COMBINE_EQS: (39), (40) imply:
% 194.76/31.86  | |   (41)  all_6_0 = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | SIMP: (41) implies:
% 194.76/31.86  | |   (42)  all_6_0 = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | REDUCE: (6), (42) imply:
% 194.76/31.86  | |   (43)   ~ (all_52_9 = e3)
% 194.76/31.86  | | 
% 194.76/31.86  | | REDUCE: (17), (42) imply:
% 194.76/31.86  | |   (44)   ~ (all_18_0 = e3)
% 194.76/31.86  | | 
% 194.76/31.86  | | REDUCE: (5), (42) imply:
% 194.76/31.86  | |   (45)   ~ (e3 = e2)
% 194.76/31.86  | | 
% 194.76/31.86  | | REDUCE: (22), (42) imply:
% 194.76/31.86  | |   (46)   ~ (e3 = e1)
% 194.76/31.86  | | 
% 194.76/31.86  | | REDUCE: (35), (42) imply:
% 194.76/31.86  | |   (47)   ~ (e3 = e0)
% 194.76/31.86  | | 
% 194.76/31.86  | | BETA: splitting (37) gives:
% 194.76/31.86  | | 
% 194.76/31.86  | | Case 1:
% 194.76/31.86  | | | 
% 194.76/31.86  | | |   (48)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 194.76/31.86  | | |           e3)
% 194.76/31.86  | | | 
% 194.76/31.86  | | | BETA: splitting (48) gives:
% 194.76/31.86  | | | 
% 194.76/31.86  | | | Case 1:
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | |   (49)  all_56_6 = e3 & op(e1, e3) = e3
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | ALPHA: (49) implies:
% 194.76/31.86  | | | |   (50)  all_56_6 = e3
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | REF_CLOSE: (2), (3), (7), (9), (10), (11), (20), (24), (25), (29), (32),
% 194.76/31.86  | | | |            (34), (38), (43), (45), (46), (47), (50) are inconsistent by
% 194.76/31.86  | | | |            sub-proof #1454.
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | Case 2:
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | |   (51)  all_56_7 = e3 & op(e1, e2) = e3
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | ALPHA: (51) implies:
% 194.76/31.86  | | | |   (52)  all_56_7 = e3
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | BETA: splitting (15) gives:
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | Case 1:
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | |   (53)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1,
% 194.76/31.86  | | | | |             e2) = e0)
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | | REF_CLOSE: (1), (8), (10), (47), (52), (53) are inconsistent by
% 194.76/31.86  | | | | |            sub-proof #238.
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | Case 2:
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | |   (54)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1,
% 194.76/31.86  | | | | |             e0) = e0)
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | | BETA: splitting (54) gives:
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | | Case 1:
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | |   (55)  all_56_8 = e0 & op(e1, e1) = e0
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | | ALPHA: (55) implies:
% 194.76/31.86  | | | | | |   (56)  op(e1, e1) = e0
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | | REF_CLOSE: (10), (28), (38), (56) are inconsistent by sub-proof
% 194.76/31.86  | | | | | |            #1821.
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | Case 2:
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | |   (57)  all_56_11 = e0 & op(e1, e0) = e0
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | | ALPHA: (57) implies:
% 194.76/31.86  | | | | | |   (58)  op(e1, e0) = e0
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | | BETA: splitting (14) gives:
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | | Case 1:
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | |   (59)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 &
% 194.76/31.86  | | | | | | |           op(e2, e0) = e1)
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | | BETA: splitting (59) gives:
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | | Case 1:
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | |   (60)  all_56_9 = e1 & op(e3, e0) = e1
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | | ALPHA: (60) implies:
% 194.76/31.86  | | | | | | | |   (61)  op(e3, e0) = e1
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | | REF_CLOSE: (10), (16), (26), (61) are inconsistent by sub-proof
% 194.76/31.86  | | | | | | | |            #371.
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | Case 2:
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | |   (62)  all_56_10 = e1 & op(e2, e0) = e1
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | | REF_CLOSE: (4), (10), (12), (13), (19), (21), (23), (27), (31),
% 194.76/31.86  | | | | | | | |            (32), (33), (36), (44), (45), (62) are inconsistent
% 194.76/31.86  | | | | | | | |            by sub-proof #482.
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | End of split
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | Case 2:
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | |   (63)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 194.76/31.86  | | | | | | |           op(e0, e0) = e1)
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | | REF_CLOSE: (10), (29), (36), (46), (58), (63) are inconsistent by
% 194.76/31.86  | | | | | | |            sub-proof #237.
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | End of split
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | End of split
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | End of split
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | End of split
% 194.76/31.86  | | | 
% 194.76/31.86  | | Case 2:
% 194.76/31.86  | | | 
% 194.76/31.86  | | |   (64)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 194.76/31.86  | | |           e3)
% 194.76/31.86  | | | 
% 194.76/31.86  | | | REF_CLOSE: (10), (18), (21), (28), (45), (64) are inconsistent by
% 194.76/31.86  | | |            sub-proof #507.
% 194.76/31.86  | | | 
% 194.76/31.86  | | End of split
% 194.76/31.86  | | 
% 194.76/31.86  | Case 2:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (65)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.86  | | 
% 194.76/31.86  | | REF_CLOSE: (5), (22), (35), (39), (65) are inconsistent by sub-proof #265.
% 194.76/31.86  | | 
% 194.76/31.86  | End of split
% 194.76/31.86  | 
% 194.76/31.86  End of proof
% 194.76/31.86  
% 194.76/31.86  Sub-proof #236 shows that the following formulas are inconsistent:
% 194.76/31.86  ----------------------------------------------------------------
% 194.76/31.86    (1)  op(e1, e3) = all_52_2
% 194.76/31.86    (2)   ~ (all_52_13 = e3)
% 194.76/31.86    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.76/31.86         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.76/31.86    (4)   ~ (all_52_14 = all_18_0)
% 194.76/31.86    (5)   ~ (all_52_9 = all_6_0)
% 194.76/31.86    (6)  all_56_9 = e2
% 194.76/31.86    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.76/31.86         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.76/31.86    (8)   ~ (all_52_2 = e0)
% 194.76/31.86    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.76/31.86         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.76/31.86    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.86            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.86    (11)  op(e2, e2) = all_4_2
% 194.76/31.86    (12)   ~ (all_18_0 = e2)
% 194.76/31.86    (13)   ~ (all_18_0 = e1)
% 194.76/31.86    (14)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 194.76/31.86          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.76/31.86    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.76/31.86          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.76/31.86    (16)   ~ (all_18_0 = all_6_0)
% 194.76/31.86    (17)   ~ (all_52_14 = e3)
% 194.76/31.86    (18)  all_8_0 = all_6_0
% 194.76/31.86    (19)   ~ (all_52_14 = e2)
% 194.76/31.86    (20)  op(e2, e0) = all_52_13
% 194.76/31.86    (21)  op(e1, e0) = all_52_14
% 194.76/31.86    (22)   ~ (all_6_0 = e1)
% 194.76/31.86    (23)   ~ (all_8_0 = e2)
% 194.76/31.86    (24)  all_54_7 = all_18_0
% 194.76/31.86    (25)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.76/31.86          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.76/31.86    (26)   ~ (all_4_2 = e3)
% 194.76/31.86    (27)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.76/31.86    (28)  op(e1, e1) = e2
% 194.76/31.86    (29)   ~ (e1 = e0)
% 194.76/31.86    (30)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.86    (31)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.76/31.86              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.76/31.86                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.76/31.86                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.76/31.86    (32)   ~ (e2 = e1)
% 194.76/31.86    (33)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.76/31.86          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.76/31.86    (34)  op(e2, e1) = all_52_9
% 194.76/31.86    (35)   ~ (all_6_0 = e0)
% 194.76/31.86    (36)  op(e0, e0) = e3
% 194.76/31.86    (37)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.76/31.86          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.76/31.86    (38)   ~ (e2 = e0)
% 194.76/31.86    (39)  all_54_4 = all_6_0
% 194.76/31.86  
% 194.76/31.86  Begin of proof
% 194.76/31.86  | 
% 194.76/31.86  | REDUCE: (18), (23) imply:
% 194.76/31.86  |   (40)   ~ (all_6_0 = e2)
% 194.76/31.86  | 
% 194.76/31.86  | BETA: splitting (30) gives:
% 194.76/31.86  | 
% 194.76/31.86  | Case 1:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (41)  all_54_4 = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | COMBINE_EQS: (39), (41) imply:
% 194.76/31.86  | |   (42)  all_6_0 = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | SIMP: (42) implies:
% 194.76/31.86  | |   (43)  all_6_0 = e3
% 194.76/31.86  | | 
% 194.76/31.86  | | REDUCE: (5), (43) imply:
% 194.76/31.86  | |   (44)   ~ (all_52_9 = e3)
% 194.76/31.86  | | 
% 194.76/31.86  | | REDUCE: (16), (43) imply:
% 194.76/31.86  | |   (45)   ~ (all_18_0 = e3)
% 194.76/31.86  | | 
% 194.76/31.86  | | REDUCE: (40), (43) imply:
% 194.76/31.86  | |   (46)   ~ (e3 = e2)
% 194.76/31.86  | | 
% 194.76/31.86  | | REDUCE: (22), (43) imply:
% 194.76/31.86  | |   (47)   ~ (e3 = e1)
% 194.76/31.86  | | 
% 194.76/31.86  | | REDUCE: (35), (43) imply:
% 194.76/31.86  | |   (48)   ~ (e3 = e0)
% 194.76/31.86  | | 
% 194.76/31.86  | | BETA: splitting (37) gives:
% 194.76/31.86  | | 
% 194.76/31.86  | | Case 1:
% 194.76/31.86  | | | 
% 194.76/31.86  | | |   (49)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 194.76/31.86  | | |           e3)
% 194.76/31.86  | | | 
% 194.76/31.86  | | | BETA: splitting (49) gives:
% 194.76/31.86  | | | 
% 194.76/31.86  | | | Case 1:
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | |   (50)  all_56_6 = e3 & op(e1, e3) = e3
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | ALPHA: (50) implies:
% 194.76/31.86  | | | |   (51)  all_56_6 = e3
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | REF_CLOSE: (2), (3), (7), (9), (10), (11), (20), (25), (26), (29), (32),
% 194.76/31.86  | | | |            (34), (38), (44), (46), (47), (48), (51) are inconsistent by
% 194.76/31.86  | | | |            sub-proof #1454.
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | Case 2:
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | |   (52)  all_56_7 = e3 & op(e1, e2) = e3
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | ALPHA: (52) implies:
% 194.76/31.86  | | | |   (53)  all_56_7 = e3
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | BETA: splitting (15) gives:
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | | Case 1:
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | |   (54)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1,
% 194.76/31.86  | | | | |             e2) = e0)
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | | REF_CLOSE: (1), (8), (10), (48), (53), (54) are inconsistent by
% 194.76/31.86  | | | | |            sub-proof #238.
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | Case 2:
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | |   (55)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1,
% 194.76/31.86  | | | | |             e0) = e0)
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | | BETA: splitting (55) gives:
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | | Case 1:
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | |   (56)  all_56_8 = e0 & op(e1, e1) = e0
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | | ALPHA: (56) implies:
% 194.76/31.86  | | | | | |   (57)  op(e1, e1) = e0
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | | REF_CLOSE: (10), (28), (38), (57) are inconsistent by sub-proof
% 194.76/31.86  | | | | | |            #1821.
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | Case 2:
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | |   (58)  all_56_11 = e0 & op(e1, e0) = e0
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | | ALPHA: (58) implies:
% 194.76/31.86  | | | | | |   (59)  op(e1, e0) = e0
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | | BETA: splitting (14) gives:
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | | Case 1:
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | |   (60)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 &
% 194.76/31.86  | | | | | | |           op(e2, e0) = e1)
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | | BETA: splitting (60) gives:
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | | Case 1:
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | |   (61)  all_56_9 = e1 & op(e3, e0) = e1
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | | REF_CLOSE: (6), (32), (61) are inconsistent by sub-proof #1593.
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | Case 2:
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | |   (62)  all_56_10 = e1 & op(e2, e0) = e1
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | | REF_CLOSE: (4), (10), (12), (13), (19), (21), (24), (27), (31),
% 194.76/31.86  | | | | | | | |            (32), (33), (36), (45), (46), (62) are inconsistent
% 194.76/31.86  | | | | | | | |            by sub-proof #482.
% 194.76/31.86  | | | | | | | | 
% 194.76/31.86  | | | | | | | End of split
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | Case 2:
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | |   (63)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 194.76/31.86  | | | | | | |           op(e0, e0) = e1)
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | | REF_CLOSE: (10), (29), (36), (47), (59), (63) are inconsistent by
% 194.76/31.86  | | | | | | |            sub-proof #237.
% 194.76/31.86  | | | | | | | 
% 194.76/31.86  | | | | | | End of split
% 194.76/31.86  | | | | | | 
% 194.76/31.86  | | | | | End of split
% 194.76/31.86  | | | | | 
% 194.76/31.86  | | | | End of split
% 194.76/31.86  | | | | 
% 194.76/31.86  | | | End of split
% 194.76/31.86  | | | 
% 194.76/31.86  | | Case 2:
% 194.76/31.86  | | | 
% 194.76/31.86  | | |   (64)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 194.76/31.86  | | |           e3)
% 194.76/31.86  | | | 
% 194.76/31.86  | | | REF_CLOSE: (10), (17), (21), (28), (46), (64) are inconsistent by
% 194.76/31.86  | | |            sub-proof #507.
% 194.76/31.86  | | | 
% 194.76/31.86  | | End of split
% 194.76/31.86  | | 
% 194.76/31.86  | Case 2:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (65)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.86  | | 
% 194.76/31.86  | | REF_CLOSE: (22), (35), (39), (40), (65) are inconsistent by sub-proof #265.
% 194.76/31.86  | | 
% 194.76/31.86  | End of split
% 194.76/31.86  | 
% 194.76/31.86  End of proof
% 194.76/31.86  
% 194.76/31.86  Sub-proof #237 shows that the following formulas are inconsistent:
% 194.76/31.86  ----------------------------------------------------------------
% 194.76/31.86    (1)  op(e1, e0) = e0
% 194.76/31.86    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.86    (3)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.76/31.86    (4)   ~ (e1 = e0)
% 194.76/31.86    (5)  op(e0, e0) = e3
% 194.76/31.86    (6)   ~ (e3 = e1)
% 194.76/31.86  
% 194.76/31.86  Begin of proof
% 194.76/31.86  | 
% 194.76/31.86  | BETA: splitting (3) gives:
% 194.76/31.86  | 
% 194.76/31.86  | Case 1:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (7)  all_56_11 = e1 & op(e1, e0) = e1
% 194.76/31.86  | | 
% 194.76/31.86  | | ALPHA: (7) implies:
% 194.76/31.86  | |   (8)  op(e1, e0) = e1
% 194.76/31.86  | | 
% 194.76/31.86  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #312.
% 194.76/31.86  | | 
% 194.76/31.86  | Case 2:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 194.76/31.86  | | 
% 194.76/31.86  | | ALPHA: (9) implies:
% 194.76/31.86  | |   (10)  op(e0, e0) = e1
% 194.76/31.86  | | 
% 194.76/31.86  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1392.
% 194.76/31.86  | | 
% 194.76/31.86  | End of split
% 194.76/31.86  | 
% 194.76/31.86  End of proof
% 194.76/31.86  
% 194.76/31.86  Sub-proof #238 shows that the following formulas are inconsistent:
% 194.76/31.86  ----------------------------------------------------------------
% 194.76/31.86    (1)  op(e1, e3) = all_52_2
% 194.76/31.86    (2)   ~ (all_52_2 = e0)
% 194.76/31.86    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.86    (4)  all_56_7 = e3
% 194.76/31.86    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 194.76/31.86    (6)   ~ (e3 = e0)
% 194.76/31.86  
% 194.76/31.86  Begin of proof
% 194.76/31.86  | 
% 194.76/31.86  | BETA: splitting (5) gives:
% 194.76/31.86  | 
% 194.76/31.86  | Case 1:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (7)  all_56_6 = e0 & op(e1, e3) = e0
% 194.76/31.86  | | 
% 194.76/31.86  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1768.
% 194.76/31.86  | | 
% 194.76/31.86  | Case 2:
% 194.76/31.86  | | 
% 194.76/31.86  | |   (8)  all_56_7 = e0 & op(e1, e2) = e0
% 194.76/31.86  | | 
% 194.76/31.86  | | ALPHA: (8) implies:
% 194.76/31.86  | |   (9)  all_56_7 = e0
% 194.76/31.86  | | 
% 194.76/31.86  | | REF_CLOSE: (4), (6), (9) are inconsistent by sub-proof #1797.
% 194.76/31.86  | | 
% 194.76/31.86  | End of split
% 194.76/31.86  | 
% 194.76/31.86  End of proof
% 194.76/31.86  
% 194.76/31.86  Sub-proof #239 shows that the following formulas are inconsistent:
% 194.76/31.86  ----------------------------------------------------------------
% 194.76/31.86    (1)  op(e3, e3) = e0
% 194.76/31.87    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.87    (3)  op(e2, e2) = all_4_2
% 194.76/31.87    (4)   ~ (all_4_2 = e3)
% 194.76/31.87    (5)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.76/31.87           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.76/31.87           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.76/31.87                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.76/31.87               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.76/31.87               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.76/31.87           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 194.76/31.87           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.76/31.87               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.76/31.87           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.76/31.87               = all_57_2 & $i(all_57_2))))
% 194.76/31.87    (6)   ~ (e1 = e0)
% 194.76/31.87    (7)  op(e2, e3) = e2
% 194.76/31.87  
% 194.76/31.87  Begin of proof
% 194.76/31.87  | 
% 194.76/31.87  | BETA: splitting (5) gives:
% 194.76/31.87  | 
% 194.76/31.87  | Case 1:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (8)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.76/31.87  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.76/31.87  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.76/31.87  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 194.76/31.87  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.76/31.87  | |            & $i(all_57_8)))
% 194.76/31.87  | | 
% 194.76/31.87  | | ALPHA: (8) implies:
% 194.76/31.87  | |   (9)  op(e3, e3) = e1
% 194.76/31.87  | | 
% 194.76/31.87  | | REF_CLOSE: (1), (2), (6), (9) are inconsistent by sub-proof #1937.
% 194.76/31.87  | | 
% 194.76/31.87  | Case 2:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (10)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.76/31.87  | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.76/31.87  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.76/31.87  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 194.76/31.87  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.76/31.87  | |             all_57_2 & $i(all_57_2)))
% 194.76/31.87  | | 
% 194.76/31.87  | | ALPHA: (10) implies:
% 194.76/31.87  | |   (11)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.76/31.87  | |             e3) = all_57_0 & $i(all_57_0))
% 194.76/31.87  | | 
% 194.76/31.87  | | REF_CLOSE: (2), (3), (4), (7), (11) are inconsistent by sub-proof #534.
% 194.76/31.87  | | 
% 194.76/31.87  | End of split
% 194.76/31.87  | 
% 194.76/31.87  End of proof
% 194.76/31.87  
% 194.76/31.87  Sub-proof #240 shows that the following formulas are inconsistent:
% 194.76/31.87  ----------------------------------------------------------------
% 194.76/31.87    (1)   ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 & $i(all_10_1)
% 194.76/31.87    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.87    (3)  op(e1, e2) = e0
% 194.76/31.87  
% 194.76/31.87  Begin of proof
% 194.76/31.87  | 
% 194.76/31.87  | ALPHA: (1) implies:
% 194.76/31.87  |   (4)   ~ (all_10_1 = e0)
% 194.76/31.87  |   (5)  op(e1, e2) = all_10_1
% 194.76/31.87  | 
% 194.76/31.87  | GROUND_INST: instantiating (2) with e0, all_10_1, e2, e1, simplifying with
% 194.76/31.87  |              (3), (5) gives:
% 194.76/31.87  |   (6)  all_10_1 = e0
% 194.76/31.87  | 
% 194.76/31.87  | REDUCE: (4), (6) imply:
% 194.76/31.87  |   (7)  $false
% 194.76/31.87  | 
% 194.76/31.87  | CLOSE: (7) is inconsistent.
% 194.76/31.87  | 
% 194.76/31.87  End of proof
% 194.76/31.87  
% 194.76/31.87  Sub-proof #241 shows that the following formulas are inconsistent:
% 194.76/31.87  ----------------------------------------------------------------
% 194.76/31.87    (1)   ~ (e3 = e2)
% 194.76/31.87    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.87    (3)  op(e3, e2) = all_52_4
% 194.76/31.87    (4)  op(e2, e2) = e1
% 194.76/31.87    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.76/31.87         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.76/31.87    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.76/31.87         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.76/31.87    (7)   ~ (all_52_4 = all_52_8)
% 194.76/31.87    (8)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 194.76/31.87         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.76/31.87    (9)  all_56_12 = e3
% 194.76/31.87    (10)   ~ (all_10_0 = e2)
% 194.76/31.87    (11)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.76/31.87          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 194.76/31.87            e2)
% 194.76/31.87    (12)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.76/31.87          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.76/31.87    (13)   ~ (all_52_9 = e2)
% 194.76/31.87    (14)   ~ (all_34_1 = e3)
% 194.76/31.87    (15)   ~ (all_52_7 = e1)
% 194.76/31.87    (16)   ~ (all_52_8 = e2)
% 194.76/31.87    (17)  op(e1, e1) = e2
% 194.76/31.87    (18)  all_56_5 = e0
% 194.76/31.87    (19)   ~ (e1 = e0)
% 194.76/31.87    (20)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.76/31.87          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.76/31.87    (21)   ~ (all_10_0 = e3)
% 194.76/31.87    (22)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.87    (23)   ~ (e2 = e1)
% 194.76/31.87    (24)   ~ (all_52_8 = all_10_0)
% 194.76/31.87    (25)  op(e2, e1) = all_52_9
% 194.76/31.87    (26)  op(e0, e3) = e3
% 194.76/31.87    (27)  op(e0, e0) = e0
% 194.76/31.87    (28)   ~ (all_10_0 = e0)
% 194.76/31.87    (29)  op(e3, e1) = all_52_8
% 194.76/31.87    (30)   ~ (e3 = e1)
% 194.76/31.87    (31)  op(e0, e2) = all_52_7
% 194.76/31.87    (32)   ~ (e2 = e0)
% 194.76/31.87    (33)   ~ (e3 = e0)
% 194.76/31.87    (34)  all_54_14 = all_10_0
% 194.76/31.87    (35)  op(e1, e2) = all_34_1
% 194.76/31.87  
% 194.76/31.87  Begin of proof
% 194.76/31.87  | 
% 194.76/31.87  | BETA: splitting (8) gives:
% 194.76/31.87  | 
% 194.76/31.87  | Case 1:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (36)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 194.76/31.87  | |           e1)
% 194.76/31.87  | | 
% 194.76/31.87  | | REF_CLOSE: (2), (15), (26), (30), (31), (36) are inconsistent by sub-proof
% 194.76/31.87  | |            #248.
% 194.76/31.87  | | 
% 194.76/31.87  | Case 2:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (37)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 194.76/31.87  | |           e1)
% 194.76/31.87  | | 
% 194.76/31.87  | | BETA: splitting (37) gives:
% 194.76/31.87  | | 
% 194.76/31.87  | | Case 1:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (38)  all_56_14 = e1 & op(e0, e1) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | ALPHA: (38) implies:
% 194.76/31.87  | | |   (39)  all_56_14 = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | BETA: splitting (22) gives:
% 194.76/31.87  | | | 
% 194.76/31.87  | | | Case 1:
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | |   (40)  all_54_14 = e3
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | | REF_CLOSE: (21), (34), (40) are inconsistent by sub-proof #268.
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | Case 2:
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | |   (41)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | | BETA: splitting (20) gives:
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | | Case 1:
% 194.76/31.87  | | | | | 
% 194.76/31.87  | | | | |   (42)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2,
% 194.76/31.87  | | | | |             e1) = e3)
% 194.76/31.87  | | | | | 
% 194.76/31.87  | | | | | BETA: splitting (42) gives:
% 194.76/31.87  | | | | | 
% 194.76/31.87  | | | | | Case 1:
% 194.76/31.87  | | | | | | 
% 194.76/31.87  | | | | | |   (43)  all_56_4 = e3 & op(e3, e1) = e3
% 194.76/31.87  | | | | | | 
% 194.76/31.87  | | | | | | ALPHA: (43) implies:
% 194.76/31.87  | | | | | |   (44)  op(e3, e1) = e3
% 194.76/31.87  | | | | | | 
% 194.76/31.87  | | | | | | REF_CLOSE: (1), (2), (3), (4), (7), (9), (11), (12), (14), (23),
% 194.76/31.87  | | | | | |            (27), (29), (30), (32), (35), (39), (44) are inconsistent
% 194.76/31.87  | | | | | |            by sub-proof #242.
% 194.76/31.87  | | | | | | 
% 194.76/31.87  | | | | | Case 2:
% 194.76/31.87  | | | | | | 
% 194.76/31.87  | | | | | |   (45)  all_56_5 = e3 & op(e2, e1) = e3
% 194.76/31.87  | | | | | | 
% 194.76/31.87  | | | | | | REF_CLOSE: (18), (33), (45) are inconsistent by sub-proof #260.
% 194.76/31.87  | | | | | | 
% 194.76/31.87  | | | | | End of split
% 194.76/31.87  | | | | | 
% 194.76/31.87  | | | | Case 2:
% 194.76/31.87  | | | | | 
% 194.76/31.87  | | | | |   (46)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0,
% 194.76/31.87  | | | | |             e1) = e3)
% 194.76/31.87  | | | | | 
% 194.76/31.87  | | | | | REF_CLOSE: (1), (2), (5), (6), (10), (13), (16), (17), (18), (19),
% 194.76/31.87  | | | | |            (23), (24), (25), (28), (29), (30), (34), (41), (46) are
% 194.76/31.87  | | | | |            inconsistent by sub-proof #253.
% 194.76/31.87  | | | | | 
% 194.76/31.87  | | | | End of split
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | End of split
% 194.76/31.87  | | | 
% 194.76/31.87  | | Case 2:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (47)  all_56_15 = e1 & op(e0, e0) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | ALPHA: (47) implies:
% 194.76/31.87  | | |   (48)  op(e0, e0) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | REF_CLOSE: (2), (19), (27), (48) are inconsistent by sub-proof #1943.
% 194.76/31.87  | | | 
% 194.76/31.87  | | End of split
% 194.76/31.87  | | 
% 194.76/31.87  | End of split
% 194.76/31.87  | 
% 194.76/31.87  End of proof
% 194.76/31.87  
% 194.76/31.87  Sub-proof #242 shows that the following formulas are inconsistent:
% 194.76/31.87  ----------------------------------------------------------------
% 194.76/31.87    (1)   ~ (e3 = e2)
% 194.76/31.87    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.87    (3)  op(e3, e2) = all_52_4
% 194.76/31.87    (4)  op(e2, e2) = e1
% 194.76/31.87    (5)   ~ (all_52_4 = all_52_8)
% 194.76/31.87    (6)  all_56_12 = e3
% 194.76/31.87    (7)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 194.76/31.87         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.76/31.87    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.76/31.87         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.76/31.87    (9)   ~ (all_34_1 = e3)
% 194.76/31.87    (10)  op(e3, e1) = e3
% 194.76/31.87    (11)  all_56_14 = e1
% 194.76/31.87    (12)   ~ (e2 = e1)
% 194.76/31.87    (13)  op(e0, e0) = e0
% 194.76/31.87    (14)  op(e3, e1) = all_52_8
% 194.76/31.87    (15)   ~ (e3 = e1)
% 194.76/31.87    (16)   ~ (e2 = e0)
% 194.76/31.87    (17)  op(e1, e2) = all_34_1
% 194.76/31.87  
% 194.76/31.87  Begin of proof
% 194.76/31.87  | 
% 194.76/31.87  | BETA: splitting (8) gives:
% 194.76/31.87  | 
% 194.76/31.87  | Case 1:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (18)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 194.76/31.87  | |           e3)
% 194.76/31.87  | | 
% 194.76/31.87  | | REF_CLOSE: (2), (3), (4), (5), (10), (14), (15), (18) are inconsistent by
% 194.76/31.87  | |            sub-proof #416.
% 194.76/31.87  | | 
% 194.76/31.87  | Case 2:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (19)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 194.76/31.87  | |           e3)
% 194.76/31.87  | | 
% 194.76/31.87  | | BETA: splitting (19) gives:
% 194.76/31.87  | | 
% 194.76/31.87  | | Case 1:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (20)  all_56_7 = e3 & op(e1, e2) = e3
% 194.76/31.87  | | | 
% 194.76/31.87  | | | ALPHA: (20) implies:
% 194.76/31.87  | | |   (21)  op(e1, e2) = e3
% 194.76/31.87  | | | 
% 194.76/31.87  | | | REF_CLOSE: (2), (9), (17), (21) are inconsistent by sub-proof #468.
% 194.76/31.87  | | | 
% 194.76/31.87  | | Case 2:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (22)  all_56_13 = e3 & op(e0, e2) = e3
% 194.76/31.87  | | | 
% 194.76/31.87  | | | ALPHA: (22) implies:
% 194.76/31.87  | | |   (23)  all_56_13 = e3
% 194.76/31.87  | | | 
% 194.76/31.87  | | | REF_CLOSE: (1), (2), (6), (7), (11), (12), (13), (16), (23) are
% 194.76/31.87  | | |            inconsistent by sub-proof #704.
% 194.76/31.87  | | | 
% 194.76/31.87  | | End of split
% 194.76/31.87  | | 
% 194.76/31.87  | End of split
% 194.76/31.87  | 
% 194.76/31.87  End of proof
% 194.76/31.87  
% 194.76/31.87  Sub-proof #243 shows that the following formulas are inconsistent:
% 194.76/31.87  ----------------------------------------------------------------
% 194.76/31.87    (1)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 194.76/31.87    (2)   ~ (e3 = e2)
% 194.76/31.87    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.87    (4)   ~ (all_52_9 = e1)
% 194.76/31.87    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.76/31.87         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.76/31.87    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.76/31.87         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.76/31.87    (7)   ~ (all_10_0 = e2)
% 194.76/31.87    (8)   ~ (all_52_9 = e2)
% 194.76/31.87    (9)   ~ (all_52_8 = e2)
% 194.76/31.87    (10)   ~ (all_10_0 = e3)
% 194.76/31.87    (11)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.87    (12)   ~ (e2 = e1)
% 194.76/31.87    (13)   ~ (all_52_8 = all_10_0)
% 194.76/31.87    (14)  op(e2, e1) = all_52_9
% 194.76/31.87    (15)  op(e0, e0) = e0
% 194.76/31.87    (16)   ~ (all_10_0 = e0)
% 194.76/31.87    (17)  op(e3, e1) = all_52_8
% 194.76/31.87    (18)   ~ (e3 = e1)
% 194.76/31.87    (19)   ~ (e3 = e0)
% 194.76/31.87    (20)  all_54_14 = all_10_0
% 194.76/31.87  
% 194.76/31.87  Begin of proof
% 194.76/31.87  | 
% 194.76/31.87  | BETA: splitting (1) gives:
% 194.76/31.87  | 
% 194.76/31.87  | Case 1:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (21)  all_56_14 = e3 & op(e0, e1) = e3
% 194.76/31.87  | | 
% 194.76/31.87  | | ALPHA: (21) implies:
% 194.76/31.87  | |   (22)  all_56_14 = e3
% 194.76/31.87  | | 
% 194.76/31.87  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 194.76/31.87  | |            (14), (16), (17), (18), (20), (22) are inconsistent by sub-proof
% 194.76/31.87  | |            #244.
% 194.76/31.87  | | 
% 194.76/31.87  | Case 2:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (23)  all_56_15 = e3 & op(e0, e0) = e3
% 194.76/31.87  | | 
% 194.76/31.87  | | ALPHA: (23) implies:
% 194.76/31.87  | |   (24)  op(e0, e0) = e3
% 194.76/31.87  | | 
% 194.76/31.87  | | REF_CLOSE: (3), (15), (19), (24) are inconsistent by sub-proof #1947.
% 194.76/31.87  | | 
% 194.76/31.87  | End of split
% 194.76/31.87  | 
% 194.76/31.87  End of proof
% 194.76/31.87  
% 194.76/31.87  Sub-proof #244 shows that the following formulas are inconsistent:
% 194.76/31.87  ----------------------------------------------------------------
% 194.76/31.87    (1)   ~ (e3 = e2)
% 194.76/31.87    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.87    (3)   ~ (all_52_9 = e1)
% 194.76/31.87    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.76/31.87         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.76/31.87    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.76/31.87         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.76/31.87    (6)   ~ (all_10_0 = e2)
% 194.76/31.87    (7)   ~ (all_52_9 = e2)
% 194.76/31.87    (8)  all_56_14 = e3
% 194.76/31.87    (9)   ~ (all_52_8 = e2)
% 194.76/31.87    (10)   ~ (all_10_0 = e3)
% 194.76/31.87    (11)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.87    (12)   ~ (e2 = e1)
% 194.76/31.87    (13)   ~ (all_52_8 = all_10_0)
% 194.76/31.87    (14)  op(e2, e1) = all_52_9
% 194.76/31.87    (15)   ~ (all_10_0 = e0)
% 194.76/31.87    (16)  op(e3, e1) = all_52_8
% 194.76/31.87    (17)   ~ (e3 = e1)
% 194.76/31.87    (18)  all_54_14 = all_10_0
% 194.76/31.87  
% 194.76/31.87  Begin of proof
% 194.76/31.87  | 
% 194.76/31.87  | BETA: splitting (5) gives:
% 194.76/31.87  | 
% 194.76/31.87  | Case 1:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 194.76/31.87  | |           e1)
% 194.76/31.87  | | 
% 194.76/31.87  | | BETA: splitting (19) gives:
% 194.76/31.87  | | 
% 194.76/31.87  | | Case 1:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (20)  all_56_4 = e1 & op(e3, e1) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | ALPHA: (20) implies:
% 194.76/31.87  | | |   (21)  op(e3, e1) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | BETA: splitting (11) gives:
% 194.76/31.87  | | | 
% 194.76/31.87  | | | Case 1:
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | |   (22)  all_54_14 = e3
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | | REF_CLOSE: (10), (18), (22) are inconsistent by sub-proof #268.
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | Case 2:
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | |   (23)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | | REF_CLOSE: (2), (6), (13), (15), (16), (18), (21), (23) are inconsistent
% 194.76/31.87  | | | |            by sub-proof #259.
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | End of split
% 194.76/31.87  | | | 
% 194.76/31.87  | | Case 2:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (24)  all_56_5 = e1 & op(e2, e1) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | ALPHA: (24) implies:
% 194.76/31.87  | | |   (25)  op(e2, e1) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | REF_CLOSE: (2), (3), (14), (25) are inconsistent by sub-proof #1755.
% 194.76/31.87  | | | 
% 194.76/31.87  | | End of split
% 194.76/31.87  | | 
% 194.76/31.87  | Case 2:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (26)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 194.76/31.87  | |           e1)
% 194.76/31.87  | | 
% 194.76/31.87  | | BETA: splitting (26) gives:
% 194.76/31.87  | | 
% 194.76/31.87  | | Case 1:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (27)  all_56_8 = e1 & op(e1, e1) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | ALPHA: (27) implies:
% 194.76/31.87  | | |   (28)  op(e1, e1) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | REF_CLOSE: (1), (2), (4), (7), (8), (9), (12), (14), (16), (28) are
% 194.76/31.87  | | |            inconsistent by sub-proof #545.
% 194.76/31.87  | | | 
% 194.76/31.87  | | Case 2:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (29)  all_56_14 = e1 & op(e0, e1) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | ALPHA: (29) implies:
% 194.76/31.87  | | |   (30)  all_56_14 = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | REF_CLOSE: (8), (17), (30) are inconsistent by sub-proof #1812.
% 194.76/31.87  | | | 
% 194.76/31.87  | | End of split
% 194.76/31.87  | | 
% 194.76/31.87  | End of split
% 194.76/31.87  | 
% 194.76/31.87  End of proof
% 194.76/31.87  
% 194.76/31.87  Sub-proof #245 shows that the following formulas are inconsistent:
% 194.76/31.87  ----------------------------------------------------------------
% 194.76/31.87    (1)   ~ (e3 = e2)
% 194.76/31.87    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.87    (3)  op(e3, e2) = all_52_4
% 194.76/31.87    (4)  op(e2, e2) = e1
% 194.76/31.87    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.76/31.87         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.76/31.87    (6)  all_56_7 = e0
% 194.76/31.87    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.76/31.87         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.76/31.87    (8)   ~ (all_52_4 = all_52_8)
% 194.76/31.87    (9)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 194.76/31.87         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.76/31.87    (10)  all_56_12 = e3
% 194.76/31.87    (11)   ~ (all_10_0 = e2)
% 194.76/31.87    (12)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.76/31.87          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 194.76/31.87            e2)
% 194.76/31.87    (13)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.76/31.87          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.76/31.87    (14)   ~ (all_52_9 = e2)
% 194.76/31.87    (15)   ~ (all_52_7 = e1)
% 194.76/31.87    (16)   ~ (all_52_8 = e2)
% 194.76/31.87    (17)  op(e1, e1) = e2
% 194.76/31.87    (18)  all_56_5 = e0
% 194.76/31.87    (19)   ~ (e1 = e0)
% 194.76/31.87    (20)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.76/31.87          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.76/31.87    (21)   ~ (all_10_0 = e3)
% 194.76/31.87    (22)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.87    (23)   ~ (e2 = e1)
% 194.76/31.87    (24)   ~ (all_52_8 = all_10_0)
% 194.76/31.87    (25)  op(e2, e1) = all_52_9
% 194.76/31.87    (26)  op(e0, e3) = e3
% 194.76/31.87    (27)  op(e0, e0) = e0
% 194.76/31.87    (28)   ~ (all_10_0 = e0)
% 194.76/31.87    (29)  op(e3, e1) = all_52_8
% 194.76/31.87    (30)   ~ (e3 = e1)
% 194.76/31.87    (31)  op(e0, e2) = all_52_7
% 194.76/31.87    (32)   ~ (e2 = e0)
% 194.76/31.87    (33)   ~ (e3 = e0)
% 194.76/31.87    (34)  all_54_14 = all_10_0
% 194.76/31.87  
% 194.76/31.87  Begin of proof
% 194.76/31.87  | 
% 194.76/31.87  | BETA: splitting (9) gives:
% 194.76/31.87  | 
% 194.76/31.87  | Case 1:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (35)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 194.76/31.87  | |           e1)
% 194.76/31.87  | | 
% 194.76/31.87  | | REF_CLOSE: (2), (15), (26), (30), (31), (35) are inconsistent by sub-proof
% 194.76/31.87  | |            #248.
% 194.76/31.87  | | 
% 194.76/31.87  | Case 2:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (36)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 194.76/31.87  | |           e1)
% 194.76/31.87  | | 
% 194.76/31.87  | | BETA: splitting (36) gives:
% 194.76/31.87  | | 
% 194.76/31.87  | | Case 1:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (37)  all_56_14 = e1 & op(e0, e1) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | ALPHA: (37) implies:
% 194.76/31.87  | | |   (38)  all_56_14 = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 194.76/31.87  | | |            (14), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 194.76/31.87  | | |            (25), (27), (28), (29), (30), (32), (33), (34), (38) are
% 194.76/31.87  | | |            inconsistent by sub-proof #246.
% 194.76/31.87  | | | 
% 194.76/31.87  | | Case 2:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (39)  all_56_15 = e1 & op(e0, e0) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | ALPHA: (39) implies:
% 194.76/31.87  | | |   (40)  op(e0, e0) = e1
% 194.76/31.87  | | | 
% 194.76/31.87  | | | REF_CLOSE: (2), (19), (27), (40) are inconsistent by sub-proof #1943.
% 194.76/31.87  | | | 
% 194.76/31.87  | | End of split
% 194.76/31.87  | | 
% 194.76/31.87  | End of split
% 194.76/31.87  | 
% 194.76/31.87  End of proof
% 194.76/31.87  
% 194.76/31.87  Sub-proof #246 shows that the following formulas are inconsistent:
% 194.76/31.87  ----------------------------------------------------------------
% 194.76/31.87    (1)   ~ (e3 = e2)
% 194.76/31.87    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.87    (3)  op(e3, e2) = all_52_4
% 194.76/31.87    (4)  op(e2, e2) = e1
% 194.76/31.87    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.76/31.87         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.76/31.87    (6)  all_56_7 = e0
% 194.76/31.87    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.76/31.87         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.76/31.87    (8)   ~ (all_52_4 = all_52_8)
% 194.76/31.87    (9)  all_56_12 = e3
% 194.76/31.87    (10)   ~ (all_10_0 = e2)
% 194.76/31.87    (11)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.76/31.87          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 194.76/31.87            e2)
% 194.76/31.87    (12)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.76/31.87          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.76/31.87    (13)   ~ (all_52_9 = e2)
% 194.76/31.87    (14)   ~ (all_52_8 = e2)
% 194.76/31.87    (15)  op(e1, e1) = e2
% 194.76/31.87    (16)  all_56_5 = e0
% 194.76/31.87    (17)   ~ (e1 = e0)
% 194.76/31.87    (18)  all_56_14 = e1
% 194.76/31.87    (19)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.76/31.87          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.76/31.87    (20)   ~ (all_10_0 = e3)
% 194.76/31.87    (21)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.87    (22)   ~ (e2 = e1)
% 194.76/31.87    (23)   ~ (all_52_8 = all_10_0)
% 194.76/31.87    (24)  op(e2, e1) = all_52_9
% 194.76/31.87    (25)  op(e0, e0) = e0
% 194.76/31.87    (26)   ~ (all_10_0 = e0)
% 194.76/31.87    (27)  op(e3, e1) = all_52_8
% 194.76/31.87    (28)   ~ (e3 = e1)
% 194.76/31.87    (29)   ~ (e2 = e0)
% 194.76/31.87    (30)   ~ (e3 = e0)
% 194.76/31.87    (31)  all_54_14 = all_10_0
% 194.76/31.87  
% 194.76/31.87  Begin of proof
% 194.76/31.87  | 
% 194.76/31.87  | BETA: splitting (21) gives:
% 194.76/31.87  | 
% 194.76/31.87  | Case 1:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (32)  all_54_14 = e3
% 194.76/31.87  | | 
% 194.76/31.87  | | REF_CLOSE: (20), (31), (32) are inconsistent by sub-proof #268.
% 194.76/31.87  | | 
% 194.76/31.87  | Case 2:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (33)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.87  | | 
% 194.76/31.87  | | BETA: splitting (19) gives:
% 194.76/31.87  | | 
% 194.76/31.87  | | Case 1:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (34)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 194.76/31.87  | | |           e3)
% 194.76/31.87  | | | 
% 194.76/31.87  | | | BETA: splitting (34) gives:
% 194.76/31.87  | | | 
% 194.76/31.87  | | | Case 1:
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | |   (35)  all_56_4 = e3 & op(e3, e1) = e3
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | | ALPHA: (35) implies:
% 194.76/31.87  | | | |   (36)  op(e3, e1) = e3
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (11), (12), (18), (22),
% 194.76/31.87  | | | |            (25), (27), (28), (29), (30), (36) are inconsistent by
% 194.76/31.87  | | | |            sub-proof #247.
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | Case 2:
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | |   (37)  all_56_5 = e3 & op(e2, e1) = e3
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | | REF_CLOSE: (16), (30), (37) are inconsistent by sub-proof #260.
% 194.76/31.87  | | | | 
% 194.76/31.87  | | | End of split
% 194.76/31.87  | | | 
% 194.76/31.87  | | Case 2:
% 194.76/31.87  | | | 
% 194.76/31.87  | | |   (38)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 194.76/31.87  | | |           e3)
% 194.76/31.87  | | | 
% 194.76/31.87  | | | REF_CLOSE: (1), (2), (5), (7), (10), (13), (14), (15), (16), (17), (22),
% 194.76/31.87  | | |            (23), (24), (26), (27), (28), (31), (33), (38) are inconsistent
% 194.76/31.87  | | |            by sub-proof #253.
% 194.76/31.87  | | | 
% 194.76/31.87  | | End of split
% 194.76/31.87  | | 
% 194.76/31.87  | End of split
% 194.76/31.87  | 
% 194.76/31.87  End of proof
% 194.76/31.87  
% 194.76/31.87  Sub-proof #247 shows that the following formulas are inconsistent:
% 194.76/31.87  ----------------------------------------------------------------
% 194.76/31.87    (1)   ~ (e3 = e2)
% 194.76/31.87    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.87    (3)  op(e3, e2) = all_52_4
% 194.76/31.87    (4)  op(e2, e2) = e1
% 194.76/31.87    (5)  all_56_7 = e0
% 194.76/31.87    (6)   ~ (all_52_4 = all_52_8)
% 194.76/31.87    (7)  all_56_12 = e3
% 194.76/31.87    (8)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 194.76/31.87         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.76/31.87    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.76/31.87         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.76/31.87    (10)  op(e3, e1) = e3
% 194.76/31.87    (11)  all_56_14 = e1
% 194.76/31.87    (12)   ~ (e2 = e1)
% 194.76/31.87    (13)  op(e0, e0) = e0
% 194.76/31.87    (14)  op(e3, e1) = all_52_8
% 194.76/31.87    (15)   ~ (e3 = e1)
% 194.76/31.87    (16)   ~ (e2 = e0)
% 194.76/31.87    (17)   ~ (e3 = e0)
% 194.76/31.87  
% 194.76/31.87  Begin of proof
% 194.76/31.87  | 
% 194.76/31.87  | BETA: splitting (9) gives:
% 194.76/31.87  | 
% 194.76/31.87  | Case 1:
% 194.76/31.87  | | 
% 194.76/31.87  | |   (18)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 194.76/31.87  | |           e3)
% 194.76/31.87  | | 
% 194.76/31.87  | | REF_CLOSE: (2), (3), (4), (6), (10), (14), (15), (18) are inconsistent by
% 194.76/31.87  | |            sub-proof #416.
% 194.76/31.87  | | 
% 194.76/31.87  | Case 2:
% 194.76/31.87  | | 
% 194.76/31.88  | |   (19)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 194.76/31.88  | |           e3)
% 194.76/31.88  | | 
% 194.76/31.88  | | BETA: splitting (19) gives:
% 194.76/31.88  | | 
% 194.76/31.88  | | Case 1:
% 194.76/31.88  | | | 
% 194.76/31.88  | | |   (20)  all_56_7 = e3 & op(e1, e2) = e3
% 194.76/31.88  | | | 
% 194.76/31.88  | | | REF_CLOSE: (5), (17), (20) are inconsistent by sub-proof #1094.
% 194.76/31.88  | | | 
% 194.76/31.88  | | Case 2:
% 194.76/31.88  | | | 
% 194.76/31.88  | | |   (21)  all_56_13 = e3 & op(e0, e2) = e3
% 194.76/31.88  | | | 
% 194.76/31.88  | | | ALPHA: (21) implies:
% 194.76/31.88  | | |   (22)  all_56_13 = e3
% 194.76/31.88  | | | 
% 194.76/31.88  | | | REF_CLOSE: (1), (2), (7), (8), (11), (12), (13), (16), (22) are
% 194.76/31.88  | | |            inconsistent by sub-proof #704.
% 194.76/31.88  | | | 
% 194.76/31.88  | | End of split
% 194.76/31.88  | | 
% 194.76/31.88  | End of split
% 194.76/31.88  | 
% 194.76/31.88  End of proof
% 194.76/31.88  
% 194.76/31.88  Sub-proof #248 shows that the following formulas are inconsistent:
% 194.76/31.88  ----------------------------------------------------------------
% 194.76/31.88    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.88    (2)   ~ (all_52_7 = e1)
% 194.76/31.88    (3)  op(e0, e3) = e3
% 194.76/31.88    (4)   ~ (e3 = e1)
% 194.76/31.88    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.76/31.88    (6)  op(e0, e2) = all_52_7
% 194.76/31.88  
% 194.76/31.88  Begin of proof
% 194.76/31.88  | 
% 194.76/31.88  | BETA: splitting (5) gives:
% 194.76/31.88  | 
% 194.76/31.88  | Case 1:
% 194.76/31.88  | | 
% 194.76/31.88  | |   (7)  all_56_12 = e1 & op(e0, e3) = e1
% 194.76/31.88  | | 
% 194.76/31.88  | | ALPHA: (7) implies:
% 194.76/31.88  | |   (8)  op(e0, e3) = e1
% 194.76/31.88  | | 
% 194.76/31.88  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #375.
% 194.76/31.88  | | 
% 194.76/31.88  | Case 2:
% 194.76/31.88  | | 
% 194.76/31.88  | |   (9)  all_56_13 = e1 & op(e0, e2) = e1
% 194.76/31.88  | | 
% 194.76/31.88  | | ALPHA: (9) implies:
% 194.76/31.88  | |   (10)  op(e0, e2) = e1
% 194.76/31.88  | | 
% 194.76/31.88  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1649.
% 194.76/31.88  | | 
% 194.76/31.88  | End of split
% 194.76/31.88  | 
% 194.76/31.88  End of proof
% 194.76/31.88  
% 194.76/31.88  Sub-proof #249 shows that the following formulas are inconsistent:
% 194.76/31.88  ----------------------------------------------------------------
% 194.76/31.88    (1)  op(e3, e3) = e0
% 194.76/31.88    (2)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.76/31.88         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.76/31.88    (3)  op(e1, e2) = all_52_6
% 194.76/31.88    (4)   ~ (all_52_6 = e0)
% 194.76/31.88    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.88    (6)  op(e3, e2) = all_52_4
% 194.76/31.88    (7)   ~ (all_52_7 = all_52_11)
% 194.76/31.88    (8)   ~ (all_52_4 = e0)
% 194.76/31.88    (9)  op(e0, e1) = e0
% 194.76/31.88    (10)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 194.76/31.88              e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 194.76/31.88            op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 =
% 194.76/31.88            e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 194.76/31.88            op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.76/31.88            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 194.76/31.88            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3)
% 194.76/31.88            = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.76/31.88            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.76/31.88    (11)  op(e0, e1) = all_52_11
% 194.76/31.88    (12)  op(e1, e1) = e2
% 194.76/31.88    (13)   ~ (e1 = e0)
% 194.76/31.88    (14)  op(e0, e2) = all_52_7
% 194.76/31.88    (15)   ~ (e2 = e0)
% 194.76/31.88  
% 194.76/31.88  Begin of proof
% 194.76/31.88  | 
% 194.76/31.88  | BETA: splitting (10) gives:
% 194.76/31.88  | 
% 194.76/31.88  | Case 1:
% 194.76/31.88  | | 
% 194.76/31.88  | |   (16)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.76/31.88  | |           = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 194.76/31.88  | |         & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 194.76/31.88  | | 
% 194.76/31.88  | | ALPHA: (16) implies:
% 194.76/31.88  | |   (17)  op(e3, e3) = e2
% 194.76/31.88  | | 
% 194.76/31.88  | | REF_CLOSE: (1), (5), (15), (17) are inconsistent by sub-proof #833.
% 194.76/31.88  | | 
% 194.76/31.88  | Case 2:
% 194.76/31.88  | | 
% 194.76/31.88  | |   (18)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.76/31.88  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.76/31.88  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.76/31.88  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.76/31.88  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.76/31.88  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.76/31.88  | | 
% 194.76/31.88  | | BETA: splitting (18) gives:
% 194.76/31.88  | | 
% 194.76/31.88  | | Case 1:
% 194.76/31.88  | | | 
% 194.76/31.88  | | |   (19)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.76/31.88  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.88  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.76/31.88  | | |         $i(all_57_14)
% 194.76/31.88  | | | 
% 194.76/31.88  | | | ALPHA: (19) implies:
% 194.76/31.88  | | |   (20)   ~ (all_57_14 = e2)
% 194.76/31.88  | | |   (21)  op(e1, e1) = all_57_14
% 194.76/31.88  | | | 
% 194.76/31.88  | | | REF_CLOSE: (5), (12), (20), (21) are inconsistent by sub-proof #435.
% 194.76/31.88  | | | 
% 194.76/31.88  | | Case 2:
% 194.76/31.88  | | | 
% 194.76/31.88  | | |   (22)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.76/31.88  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.76/31.88  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.76/31.88  | | |         $i(all_57_10)
% 194.76/31.88  | | | 
% 194.76/31.88  | | | ALPHA: (22) implies:
% 194.76/31.88  | | |   (23)  op(e2, e2) = e1
% 194.76/31.88  | | | 
% 194.76/31.88  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (13), (14), (23)
% 194.76/31.88  | | |            are inconsistent by sub-proof #250.
% 194.76/31.88  | | | 
% 194.76/31.88  | | End of split
% 194.76/31.88  | | 
% 194.76/31.88  | End of split
% 194.76/31.88  | 
% 194.76/31.88  End of proof
% 194.76/31.88  
% 194.76/31.88  Sub-proof #250 shows that the following formulas are inconsistent:
% 194.76/31.88  ----------------------------------------------------------------
% 194.76/31.88    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.76/31.88         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.76/31.88    (2)  op(e1, e2) = all_52_6
% 194.76/31.88    (3)   ~ (all_52_6 = e0)
% 194.76/31.88    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.88    (5)  op(e3, e2) = all_52_4
% 194.76/31.88    (6)  op(e2, e2) = e1
% 194.76/31.88    (7)   ~ (all_52_7 = all_52_11)
% 194.76/31.88    (8)   ~ (all_52_4 = e0)
% 194.76/31.88    (9)  op(e0, e1) = e0
% 194.76/31.88    (10)  op(e0, e1) = all_52_11
% 194.76/31.88    (11)   ~ (e1 = e0)
% 194.76/31.88    (12)  op(e0, e2) = all_52_7
% 194.76/31.88  
% 194.76/31.88  Begin of proof
% 194.76/31.88  | 
% 194.76/31.88  | BETA: splitting (1) gives:
% 194.76/31.88  | 
% 194.76/31.88  | Case 1:
% 194.76/31.88  | | 
% 194.76/31.88  | |   (13)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 194.76/31.88  | |           e0)
% 194.76/31.88  | | 
% 194.76/31.88  | | REF_CLOSE: (4), (5), (6), (8), (11), (13) are inconsistent by sub-proof
% 194.76/31.88  | |            #367.
% 194.76/31.88  | | 
% 194.76/31.88  | Case 2:
% 194.76/31.88  | | 
% 194.76/31.88  | |   (14)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 194.76/31.88  | |           e0)
% 194.76/31.88  | | 
% 194.76/31.88  | | BETA: splitting (14) gives:
% 194.76/31.88  | | 
% 194.76/31.88  | | Case 1:
% 194.76/31.88  | | | 
% 194.76/31.88  | | |   (15)  all_56_7 = e0 & op(e1, e2) = e0
% 194.76/31.88  | | | 
% 194.76/31.88  | | | REF_CLOSE: (2), (3), (4), (15) are inconsistent by sub-proof #369.
% 194.76/31.88  | | | 
% 194.76/31.88  | | Case 2:
% 194.76/31.88  | | | 
% 194.76/31.88  | | |   (16)  all_56_13 = e0 & op(e0, e2) = e0
% 194.76/31.88  | | | 
% 194.76/31.88  | | | ALPHA: (16) implies:
% 194.76/31.88  | | |   (17)  op(e0, e2) = e0
% 194.76/31.88  | | | 
% 194.76/31.88  | | | REF_CLOSE: (4), (7), (9), (10), (12), (17) are inconsistent by sub-proof
% 194.76/31.88  | | |            #493.
% 194.76/31.88  | | | 
% 194.76/31.88  | | End of split
% 194.76/31.88  | | 
% 194.76/31.88  | End of split
% 194.76/31.88  | 
% 194.76/31.88  End of proof
% 194.76/31.88  
% 194.76/31.88  Sub-proof #251 shows that the following formulas are inconsistent:
% 194.76/31.88  ----------------------------------------------------------------
% 194.76/31.88    (1)   ~ (all_10_1 = e0) & op(e1, e2) = all_10_1 & $i(all_10_1)
% 194.76/31.88    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.88    (3)  op(e1, e2) = all_34_1
% 194.76/31.88    (4)  op(e1, e2) = e0
% 194.76/31.88  
% 194.76/31.88  Begin of proof
% 194.76/31.88  | 
% 194.76/31.88  | ALPHA: (1) implies:
% 194.76/31.88  |   (5)   ~ (all_10_1 = e0)
% 194.76/31.88  |   (6)  op(e1, e2) = all_10_1
% 194.76/31.88  | 
% 194.76/31.88  | GROUND_INST: instantiating (2) with e0, all_34_1, e2, e1, simplifying with
% 194.76/31.88  |              (3), (4) gives:
% 194.76/31.88  |   (7)  all_34_1 = e0
% 194.76/31.88  | 
% 194.76/31.88  | GROUND_INST: instantiating (2) with all_10_1, all_34_1, e2, e1, simplifying
% 194.76/31.88  |              with (3), (6) gives:
% 194.76/31.88  |   (8)  all_34_1 = all_10_1
% 194.76/31.88  | 
% 194.76/31.88  | COMBINE_EQS: (7), (8) imply:
% 194.76/31.88  |   (9)  all_10_1 = e0
% 194.76/31.88  | 
% 194.76/31.88  | SIMP: (9) implies:
% 194.76/31.88  |   (10)  all_10_1 = e0
% 194.76/31.88  | 
% 194.76/31.88  | REDUCE: (5), (10) imply:
% 194.76/31.88  |   (11)  $false
% 194.76/31.88  | 
% 194.76/31.88  | CLOSE: (11) is inconsistent.
% 194.76/31.88  | 
% 194.76/31.88  End of proof
% 194.76/31.88  
% 194.76/31.88  Sub-proof #252 shows that the following formulas are inconsistent:
% 194.76/31.88  ----------------------------------------------------------------
% 194.76/31.88    (1)  op(e3, e0) = e2
% 194.76/31.88    (2)  op(e3, e3) = e0
% 194.76/31.88    (3)   ~ (all_52_7 = e0)
% 194.76/31.88    (4)  all_54_4 = all_52_1
% 194.76/31.88    (5)  all_54_7 = all_52_13
% 194.76/31.88    (6)   ~ (all_52_1 = e0)
% 194.76/31.88    (7)   ~ (all_52_7 = e2)
% 194.76/31.88    (8)   ~ (all_52_13 = e2)
% 194.76/31.88    (9)   ~ (e3 = e2)
% 194.76/31.88    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.88            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.88    (11)  op(e3, e2) = all_52_4
% 194.76/31.88    (12)  op(e2, e2) = all_4_2
% 194.76/31.88    (13)   ~ (all_52_7 = all_52_11)
% 194.76/31.88    (14)  op(e0, e1) = all_10_0
% 194.76/31.88    (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.76/31.88          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.76/31.88    (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.76/31.88          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.76/31.88    (17)  all_54_13 = all_52_7
% 194.76/31.88    (18)   ~ (all_52_4 = all_52_7)
% 194.76/31.88    (19)  op(e3, e0) = all_8_1
% 194.76/31.88    (20)  op(e0, e3) = all_52_3
% 194.76/31.88    (21)  op(e2, e0) = all_52_13
% 194.76/31.88    (22)  op(e1, e0) = all_52_14
% 194.76/31.88    (23)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.76/31.88              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.76/31.88            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.76/31.88            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.76/31.88            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.76/31.88            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.76/31.88            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.76/31.88            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.76/31.88            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.76/31.88            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.76/31.88            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.76/31.88            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.76/31.88            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.76/31.88            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.76/31.88            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.76/31.88            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.76/31.88            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.76/31.88            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.76/31.88            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.76/31.88            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.76/31.88            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.76/31.88            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.88            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.76/31.88            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.76/31.88            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.76/31.88            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.76/31.88            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.76/31.88            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.76/31.88            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.88            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.76/31.88            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.76/31.88            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.76/31.88            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.76/31.88            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.76/31.88            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.88            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.76/31.88            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.88            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.76/31.88            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.76/31.88            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.88            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.76/31.88            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.76/31.88            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.76/31.88            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.76/31.88            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.76/31.88            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.76/31.88            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.76/31.88            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.76/31.88              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.76/31.88            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.88            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.76/31.88              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.76/31.88            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.76/31.88            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.76/31.88                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.76/31.88                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.88                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.76/31.88                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.76/31.88                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.76/31.88                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.76/31.88                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.76/31.88              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.76/31.88                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.76/31.88                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.76/31.88                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.76/31.88                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.76/31.88                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.76/31.88                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.76/31.88                $i(all_57_7))))
% 194.76/31.88    (24)   ~ (all_52_9 = e2)
% 194.76/31.88    (25)  op(e0, e1) = all_52_11
% 194.76/31.88    (26)   ~ (all_4_2 = e3)
% 194.76/31.88    (27)   ~ (all_52_8 = all_52_12)
% 194.76/31.88    (28)   ~ (all_8_1 = e1)
% 194.76/31.88    (29)   ~ (all_52_8 = e2)
% 194.76/31.88    (30)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.76/31.88    (31)  op(e1, e1) = e2
% 194.76/31.88    (32)  all_56_5 = e0
% 194.76/31.88    (33)   ~ (e1 = e0)
% 194.76/31.88    (34)   ~ (all_52_1 = all_52_13)
% 194.76/31.88    (35)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.88    (36)   ~ (all_52_8 = all_52_11)
% 194.76/31.88    (37)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.76/31.88          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.76/31.88    (38)   ~ (all_10_0 = e3)
% 194.76/31.88    (39)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.88    (40)   ~ (all_52_13 = all_52_14)
% 194.76/31.88    (41)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.76/31.88    (42)   ~ (all_52_1 = e2)
% 194.76/31.88    (43)  all_54_14 = all_52_11
% 194.76/31.88    (44)   ~ (all_52_11 = e0)
% 194.76/31.88    (45)   ~ (all_52_3 = e0)
% 194.76/31.88    (46)  op(e3, e0) = all_52_12
% 194.76/31.88    (47)  op(e2, e2) = e2
% 194.76/31.88    (48)  op(e2, e1) = all_52_9
% 194.76/31.88    (49)  op(e0, e0) = e0
% 194.76/31.88    (50)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.76/31.88            $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.76/31.88            & $i(all_8_1))
% 194.76/31.88    (51)   ~ (all_52_13 = e0)
% 194.76/31.88    (52)  op(e3, e1) = all_52_8
% 194.76/31.88    (53)   ~ (e3 = e1)
% 194.76/31.88    (54)  op(e0, e2) = all_52_7
% 194.76/31.88    (55)   ~ (e2 = e0)
% 194.76/31.88    (56)  op(e2, e3) = all_52_1
% 194.76/31.88    (57)   ~ (e3 = e0)
% 194.76/31.88    (58)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 194.76/31.88            $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 194.76/31.88            & $i(all_6_1))
% 194.76/31.88    (59)   ~ (all_52_11 = e2)
% 194.76/31.88  
% 194.76/31.88  Begin of proof
% 194.76/31.88  | 
% 194.76/31.88  | BETA: splitting (58) gives:
% 194.76/31.88  | 
% 194.76/31.88  | Case 1:
% 194.76/31.88  | | 
% 194.76/31.88  | |   (60)   ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1
% 194.76/31.88  | |         & $i(all_6_0) & $i(all_6_1)
% 194.76/31.88  | | 
% 194.76/31.88  | | ALPHA: (60) implies:
% 194.76/31.88  | |   (61)   ~ (all_6_0 = e1)
% 194.76/31.88  | |   (62)  op(e3, e0) = all_6_1
% 194.76/31.88  | |   (63)  op(all_6_1, e3) = all_6_0
% 194.76/31.88  | | 
% 194.76/31.88  | | GROUND_INST: instantiating (10) with all_52_11, all_10_0, e1, e0,
% 194.76/31.88  | |              simplifying with (14), (25) gives:
% 194.76/31.88  | |   (64)  all_52_11 = all_10_0
% 194.76/31.88  | | 
% 194.76/31.88  | | GROUND_INST: instantiating (10) with e2, all_8_1, e0, e3, simplifying with
% 194.76/31.88  | |              (1), (19) gives:
% 194.76/31.88  | |   (65)  all_8_1 = e2
% 194.76/31.88  | | 
% 194.76/31.88  | | GROUND_INST: instantiating (10) with all_6_1, all_8_1, e0, e3, simplifying
% 194.76/31.88  | |              with (19), (62) gives:
% 194.76/31.88  | |   (66)  all_8_1 = all_6_1
% 194.76/31.88  | | 
% 194.76/31.88  | | COMBINE_EQS: (65), (66) imply:
% 194.76/31.88  | |   (67)  all_6_1 = e2
% 194.76/31.88  | | 
% 194.76/31.88  | | SIMP: (67) implies:
% 194.76/31.88  | |   (68)  all_6_1 = e2
% 194.76/31.88  | | 
% 194.76/31.88  | | COMBINE_EQS: (43), (64) imply:
% 194.76/31.88  | |   (69)  all_54_14 = all_10_0
% 194.76/31.88  | | 
% 194.76/31.88  | | REDUCE: (13), (64) imply:
% 194.76/31.88  | |   (70)   ~ (all_52_7 = all_10_0)
% 194.76/31.88  | | 
% 194.76/31.88  | | REDUCE: (36), (64) imply:
% 194.76/31.88  | |   (71)   ~ (all_52_8 = all_10_0)
% 194.76/31.88  | | 
% 194.76/31.88  | | REDUCE: (59), (64) imply:
% 194.76/31.88  | |   (72)   ~ (all_10_0 = e2)
% 194.76/31.88  | | 
% 194.76/31.88  | | REDUCE: (44), (64) imply:
% 194.76/31.88  | |   (73)   ~ (all_10_0 = e0)
% 194.76/31.88  | | 
% 194.76/31.88  | | REDUCE: (28), (65) imply:
% 194.76/31.88  | |   (74)   ~ (e2 = e1)
% 194.76/31.88  | | 
% 194.76/31.88  | | REDUCE: (63), (68) imply:
% 194.76/31.88  | |   (75)  op(e2, e3) = all_6_0
% 194.76/31.88  | | 
% 194.76/31.88  | | BETA: splitting (39) gives:
% 194.76/31.88  | | 
% 194.76/31.88  | | Case 1:
% 194.76/31.88  | | | 
% 194.76/31.88  | | |   (76)  all_54_14 = e3
% 194.76/31.88  | | | 
% 194.76/31.88  | | | REF_CLOSE: (38), (69), (76) are inconsistent by sub-proof #268.
% 194.76/31.88  | | | 
% 194.76/31.88  | | Case 2:
% 194.76/31.88  | | | 
% 194.76/31.88  | | |   (77)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.88  | | | 
% 194.76/31.88  | | | BETA: splitting (37) gives:
% 194.76/31.88  | | | 
% 194.76/31.88  | | | Case 1:
% 194.76/31.88  | | | | 
% 194.76/31.88  | | | |   (78)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1)
% 194.76/31.88  | | | |           = e3)
% 194.76/31.88  | | | | 
% 194.76/31.88  | | | | BETA: splitting (78) gives:
% 194.76/31.88  | | | | 
% 194.76/31.88  | | | | Case 1:
% 194.76/31.88  | | | | | 
% 194.76/31.88  | | | | |   (79)  all_56_4 = e3 & op(e3, e1) = e3
% 194.76/31.88  | | | | | 
% 194.76/31.88  | | | | | ALPHA: (79) implies:
% 194.76/31.88  | | | | |   (80)  op(e3, e1) = e3
% 194.76/31.88  | | | | | 
% 194.76/31.88  | | | | | BETA: splitting (77) gives:
% 194.76/31.88  | | | | | 
% 194.76/31.88  | | | | | Case 1:
% 194.76/31.88  | | | | | | 
% 194.76/31.88  | | | | | |   (81)  all_54_14 = e2
% 194.76/31.88  | | | | | | 
% 194.76/31.88  | | | | | | REF_CLOSE: (69), (72), (81) are inconsistent by sub-proof #267.
% 194.76/31.88  | | | | | | 
% 194.76/31.88  | | | | | Case 2:
% 194.76/31.88  | | | | | | 
% 194.76/31.88  | | | | | |   (82)   ~ (all_54_14 = e2)
% 194.76/31.88  | | | | | |   (83)  all_54_14 = e1 | all_54_14 = e0
% 194.76/31.88  | | | | | | 
% 194.76/31.88  | | | | | | BETA: splitting (83) gives:
% 194.76/31.88  | | | | | | 
% 194.76/31.88  | | | | | | Case 1:
% 194.76/31.88  | | | | | | | 
% 194.76/31.88  | | | | | | |   (84)  all_54_14 = e1
% 194.76/31.88  | | | | | | | 
% 194.76/31.88  | | | | | | | COMBINE_EQS: (69), (84) imply:
% 194.76/31.88  | | | | | | |   (85)  all_10_0 = e1
% 194.76/31.88  | | | | | | | 
% 194.76/31.88  | | | | | | | SIMP: (85) implies:
% 194.76/31.88  | | | | | | |   (86)  all_10_0 = e1
% 194.76/31.88  | | | | | | | 
% 194.76/31.88  | | | | | | | REDUCE: (70), (86) imply:
% 194.76/31.88  | | | | | | |   (87)   ~ (all_52_7 = e1)
% 194.76/31.88  | | | | | | | 
% 194.76/31.88  | | | | | | | REDUCE: (72), (86) imply:
% 194.76/31.88  | | | | | | |   (88)   ~ (e2 = e1)
% 194.76/31.88  | | | | | | | 
% 194.76/31.88  | | | | | | | BETA: splitting (41) gives:
% 194.76/31.88  | | | | | | | 
% 194.76/31.88  | | | | | | | Case 1:
% 194.76/31.88  | | | | | | | | 
% 194.76/31.88  | | | | | | | |   (89)  all_54_13 = e3
% 194.76/31.88  | | | | | | | | 
% 194.76/31.88  | | | | | | | | COMBINE_EQS: (17), (89) imply:
% 194.76/31.88  | | | | | | | |   (90)  all_52_7 = e3
% 194.76/31.88  | | | | | | | | 
% 194.76/31.88  | | | | | | | | SIMP: (90) implies:
% 194.76/31.88  | | | | | | | |   (91)  all_52_7 = e3
% 194.76/31.88  | | | | | | | | 
% 194.76/31.88  | | | | | | | | REDUCE: (18), (91) imply:
% 194.76/31.88  | | | | | | | |   (92)   ~ (all_52_4 = e3)
% 194.76/31.88  | | | | | | | | 
% 194.76/31.88  | | | | | | | | REDUCE: (54), (91) imply:
% 194.76/31.88  | | | | | | | |   (93)  op(e0, e2) = e3
% 194.76/31.88  | | | | | | | | 
% 194.76/31.88  | | | | | | | | BETA: splitting (23) gives:
% 194.76/31.88  | | | | | | | | 
% 194.76/31.88  | | | | | | | | Case 1:
% 194.76/31.88  | | | | | | | | | 
% 194.76/31.88  | | | | | | | | |   (94)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.76/31.88  | | | | | | | | |            ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 194.76/31.88  | | | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3
% 194.76/31.88  | | | | | | | | |           & $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 194.76/31.88  | | | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 194.76/31.88  | | | | | | | | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.76/31.88  | | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.76/31.88  | | | | | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 194.76/31.88  | | | | | | | | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.76/31.88  | | | | | | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 194.76/31.88  | | | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 194.76/31.88  | | | | | | | | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.88  | | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 194.76/31.88  | | | | | | | | |           all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.76/31.88  | | | | | | | | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.76/31.88  | | | | | | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 194.76/31.88  | | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.76/31.88  | | | | | | | | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.76/31.88  | | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 194.76/31.88  | | | | | | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.76/31.88  | | | | | | | | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.76/31.88  | | | | | | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.76/31.88  | | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.76/31.88  | | | | | | | | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.88  | | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 194.76/31.88  | | | | | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.76/31.88  | | | | | | | | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.76/31.88  | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_7) & $i(all_57_10))
% 194.76/31.88  | | | | | | | | | 
% 194.76/31.88  | | | | | | | | | REF_CLOSE: (2), (10), (11), (12), (26), (31), (42), (47),
% 194.76/31.88  | | | | | | | | |            (49), (55), (56), (57), (74), (92), (94) are
% 194.76/31.88  | | | | | | | | |            inconsistent by sub-proof #266.
% 194.76/31.88  | | | | | | | | | 
% 194.76/31.88  | | | | | | | | Case 2:
% 194.76/31.88  | | | | | | | | | 
% 194.76/31.88  | | | | | | | | |   (95)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &
% 194.76/31.88  | | | | | | | | |            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.76/31.88  | | | | | | | | |           op(e3, e1) = e3 & op(e0, e1) = all_57_8 & op(e0, e0)
% 194.76/31.88  | | | | | | | | |           = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7 =
% 194.76/31.88  | | | | | | | | |           e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.76/31.88  | | | | | | | | |           (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.76/31.88  | | | | | | | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2
% 194.76/31.88  | | | | | | | | |           & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.76/31.88  | | | | | | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.76/31.88  | | | | | | | | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.76/31.88  | | | | | | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 194.76/31.88  | | | | | | | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 194.76/31.88  | | | | | | | | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.88  | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 194.76/31.88  | | | | | | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 194.76/31.88  | | | | | | | | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.88  | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 &
% 194.76/31.88  | | | | | | | | |           all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 194.76/31.88  | | | | | | | | |             = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.76/31.88  | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 194.76/31.88  | | | | | | | | |           all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 194.76/31.88  | | | | | | | | |             = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.76/31.88  | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 194.76/31.88  | | | | | | | | |           all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13
% 194.76/31.88  | | | | | | | | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.76/31.88  | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 194.76/31.88  | | | | | | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14
% 194.76/31.88  | | | | | | | | |             = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.88  | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.76/31.88  | | | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.76/31.88  | | | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.76/31.88  | | | | | | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.76/31.88  | | | | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.76/31.88  | | | | | | | | |               op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.88  | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.76/31.88  | | | | | | | | |               &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.76/31.88  | | | | | | | | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.76/31.88  | | | | | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.76/31.88  | | | | | | | | |               all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.76/31.88  | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.76/31.88  | | | | | | | | |               = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.76/31.88  | | | | | | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.76/31.88  | | | | | | | | |                 e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.76/31.88  | | | | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.76/31.88  | | | | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.76/31.88  | | | | | | | | |               &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.76/31.88  | | | | | | | | |               op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.76/31.88  | | | | | | | | |                 e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.76/31.88  | | | | | | | | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.76/31.88  | | | | | | | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.76/31.88  | | | | | | | | |               = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.76/31.89  | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | BETA: splitting (95) gives:
% 194.76/31.89  | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | Case 1:
% 194.76/31.89  | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | |   (96)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.76/31.89  | | | | | | | | | |           &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.76/31.89  | | | | | | | | | |           op(e3, e1) = e3 & op(e0, e1) = all_57_8 & op(e0,
% 194.76/31.89  | | | | | | | | | |             e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 194.76/31.89  | | | | | | | | | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.76/31.89  | | | | | | | | | |           &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3,
% 194.76/31.89  | | | | | | | | | |             e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2,
% 194.76/31.89  | | | | | | | | | |             e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 194.76/31.89  | | | | | | | | | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.76/31.89  | | | | | | | | | |           &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.76/31.89  | | | | | | | | | |           op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.76/31.89  | | | | | | | | | |             e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.76/31.89  | | | | | | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.76/31.89  | | | | | | | | | |             e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.76/31.89  | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.76/31.89  | | | | | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.76/31.89  | | | | | | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &
% 194.76/31.89  | | | | | | | | | |            ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3,
% 194.76/31.89  | | | | | | | | | |             e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 194.76/31.89  | | | | | | | | | |           e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.76/31.89  | | | | | | | | | |           $i(all_57_13))
% 194.76/31.89  | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | BETA: splitting (96) gives:
% 194.76/31.89  | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | Case 1:
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | |   (97)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.76/31.89  | | | | | | | | | | |             e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.76/31.89  | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.76/31.89  | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.89  | | | | | | | | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.76/31.89  | | | | | | | | | | |           &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.76/31.89  | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.76/31.89  | | | | | | | | | | |             e2) = all_57_12 & op(e2, e1) = e2 &
% 194.76/31.89  | | | | | | | | | | |           $i(all_57_6) & $i(all_57_12))
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | REF_CLOSE: (2), (10), (33), (49), (97) are inconsistent by
% 194.76/31.89  | | | | | | | | | | |            sub-proof #370.
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | Case 2:
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | |   (98)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.76/31.89  | | | | | | | | | | |             e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.76/31.89  | | | | | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.76/31.89  | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.89  | | | | | | | | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 194.76/31.89  | | | | | | | | | | |           &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.76/31.89  | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.89  | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.89  | | | | | | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 194.76/31.89  | | | | | | | | | | |           & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.76/31.89  | | | | | | | | | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.76/31.89  | | | | | | | | | | |           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.76/31.89  | | | | | | | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | REF_CLOSE: (10), (27), (33), (46), (49), (52), (80), (98) are
% 194.76/31.89  | | | | | | | | | | |            inconsistent by sub-proof #520.
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | End of split
% 194.76/31.89  | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | Case 2:
% 194.76/31.89  | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | |   (99)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.76/31.89  | | | | | | | | | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.76/31.89  | | | | | | | | | |           op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.76/31.89  | | | | | | | | | |           op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.76/31.89  | | | | | | | | | |         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.76/31.89  | | | | | | | | | |             e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.76/31.89  | | | | | | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.76/31.89  | | | | | | | | | |           op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 194.76/31.89  | | | | | | | | | |         (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.76/31.89  | | | | | | | | | |             e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.76/31.89  | | | | | | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.76/31.89  | | | | | | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.89  | | | | | | | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 194.76/31.89  | | | | | | | | | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.76/31.89  | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1,
% 194.76/31.89  | | | | | | | | | |             e1) = all_57_14 & op(e1, e0) = e1 &
% 194.76/31.89  | | | | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.76/31.89  | | | | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.76/31.89  | | | | | | | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.76/31.89  | | | | | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.76/31.89  | | | | | | | | | |               op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.89  | | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.76/31.89  | | | | | | | | | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.76/31.89  | | | | | | | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.76/31.89  | | | | | | | | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.76/31.89  | | | | | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.76/31.89  | | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.76/31.89  | | | | | | | | | |                 e2) = all_57_3 & op(e0, e2) = e0 &
% 194.76/31.89  | | | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.76/31.89  | | | | | | | | | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.76/31.89  | | | | | | | | | |               & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.76/31.89  | | | | | | | | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.76/31.89  | | | | | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.76/31.89  | | | | | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.76/31.89  | | | | | | | | | |                 e1) = all_57_6 & op(e0, e1) = e0 &
% 194.76/31.89  | | | | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.76/31.89  | | | | | | | | | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.76/31.89  | | | | | | | | | |               & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.76/31.89  | | | | | | | | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 194.76/31.89  | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | BETA: splitting (99) gives:
% 194.76/31.89  | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | Case 1:
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | |   (100)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.76/31.89  | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.76/31.89  | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.76/31.89  | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.76/31.89  | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.76/31.89  | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.76/31.89  | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.76/31.89  | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.76/31.89  | | | | | | | | | | |            $i(all_57_14))
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | BETA: splitting (100) gives:
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | Case 1:
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | |   (101)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.76/31.89  | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.76/31.89  | | | | | | | | | | | |          op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.76/31.89  | | | | | | | | | | | |          op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | ALPHA: (101) implies:
% 194.76/31.89  | | | | | | | | | | | |   (102)  op(e2, e0) = e2
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | REF_CLOSE: (8), (10), (21), (102) are inconsistent by
% 194.76/31.89  | | | | | | | | | | | |            sub-proof #1662.
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | Case 2:
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | |   (103)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.76/31.89  | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.76/31.89  | | | | | | | | | | | |          op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.76/31.89  | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | ALPHA: (103) implies:
% 194.76/31.89  | | | | | | | | | | | |   (104)  op(e1, e0) = e1
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (10), (22), (30), (34), (35),
% 194.76/31.89  | | | | | | | | | | | |            (40), (42), (51), (56), (61), (75), (104) are
% 194.76/31.89  | | | | | | | | | | | |            inconsistent by sub-proof #254.
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | End of split
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | Case 2:
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | |   (105)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.76/31.89  | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.76/31.89  | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.76/31.89  | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.89  | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.76/31.89  | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.76/31.89  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.89  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.76/31.89  | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.76/31.89  | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.76/31.89  | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.76/31.89  | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.76/31.89  | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.89  | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.76/31.89  | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.76/31.89  | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.76/31.89  | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.76/31.89  | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.76/31.89  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.76/31.89  | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.76/31.89  | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.76/31.89  | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.76/31.89  | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.76/31.89  | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.76/31.89  | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.76/31.89  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.76/31.89  | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.76/31.89  | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.76/31.89  | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.76/31.89  | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.76/31.89  | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | BETA: splitting (105) gives:
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | Case 1:
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | |   (106)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.76/31.89  | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.76/31.89  | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.76/31.89  | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.89  | | | | | | | | | | | |          $i(all_57_13)
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | ALPHA: (106) implies:
% 194.76/31.89  | | | | | | | | | | | |   (107)  op(e2, e0) = e2
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | REF_CLOSE: (8), (10), (21), (107) are inconsistent by
% 194.76/31.89  | | | | | | | | | | | |            sub-proof #1662.
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | Case 2:
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | |   (108)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.76/31.89  | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.76/31.89  | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 194.76/31.89  | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 194.76/31.89  | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.76/31.89  | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.76/31.89  | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.76/31.89  | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.76/31.89  | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 194.76/31.89  | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.76/31.89  | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 194.76/31.89  | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.76/31.89  | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.76/31.89  | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.76/31.89  | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.76/31.89  | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.76/31.89  | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.76/31.89  | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.76/31.89  | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.76/31.89  | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.76/31.89  | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.76/31.89  | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.76/31.89  | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.76/31.89  | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.76/31.89  | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.76/31.89  | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.76/31.89  | | | | | | | | | | | |                & $i(all_57_7))))
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | BETA: splitting (108) gives:
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | Case 1:
% 194.76/31.89  | | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | |   (109)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.76/31.89  | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.76/31.89  | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.76/31.89  | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 194.76/31.89  | | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | | ALPHA: (109) implies:
% 194.76/31.89  | | | | | | | | | | | | |   (110)  op(e1, e0) = e1
% 194.76/31.89  | | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (10), (22), (30), (34), (35),
% 194.76/31.89  | | | | | | | | | | | | |            (40), (42), (51), (56), (61), (75), (110) are
% 194.76/31.89  | | | | | | | | | | | | |            inconsistent by sub-proof #254.
% 194.76/31.89  | | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | Case 2:
% 194.76/31.89  | | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | |   (111)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.89  | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.76/31.89  | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.76/31.89  | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.89  | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.76/31.89  | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.76/31.89  | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.76/31.89  | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.76/31.89  | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.76/31.89  | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.76/31.89  | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 194.76/31.89  | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.76/31.89  | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.76/31.89  | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.76/31.89  | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.76/31.89  | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.76/31.89  | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.76/31.89  | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 194.76/31.89  | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.76/31.89  | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.76/31.89  | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.76/31.89  | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 194.76/31.89  | | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | | ALPHA: (111) implies:
% 194.76/31.89  | | | | | | | | | | | | |   (112)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.76/31.89  | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.76/31.89  | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.89  | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.76/31.89  | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.76/31.89  | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.76/31.89  | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.76/31.89  | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.76/31.89  | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.76/31.89  | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.76/31.89  | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.76/31.89  | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.76/31.89  | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.76/31.89  | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.76/31.89  | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.76/31.89  | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.76/31.89  | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.76/31.89  | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.76/31.89  | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.76/31.89  | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.76/31.89  | | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | | REF_CLOSE: (2), (10), (12), (20), (26), (33), (45), (47),
% 194.76/31.89  | | | | | | | | | | | | |            (57), (74), (93), (112) are inconsistent by
% 194.76/31.89  | | | | | | | | | | | | |            sub-proof #262.
% 194.76/31.89  | | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | | End of split
% 194.76/31.89  | | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | | End of split
% 194.76/31.89  | | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | | End of split
% 194.76/31.89  | | | | | | | | | | 
% 194.76/31.89  | | | | | | | | | End of split
% 194.76/31.89  | | | | | | | | | 
% 194.76/31.89  | | | | | | | | End of split
% 194.76/31.89  | | | | | | | | 
% 194.76/31.89  | | | | | | | Case 2:
% 194.76/31.89  | | | | | | | | 
% 194.76/31.89  | | | | | | | |   (113)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.76/31.89  | | | | | | | | 
% 194.76/31.89  | | | | | | | | REF_CLOSE: (3), (7), (17), (87), (113) are inconsistent by
% 194.76/31.89  | | | | | | | |            sub-proof #1651.
% 194.76/31.89  | | | | | | | | 
% 194.76/31.89  | | | | | | | End of split
% 194.76/31.89  | | | | | | | 
% 194.76/31.89  | | | | | | Case 2:
% 194.76/31.89  | | | | | | | 
% 194.76/31.89  | | | | | | |   (114)  all_54_14 = e0
% 194.76/31.89  | | | | | | | 
% 194.76/31.89  | | | | | | | REF_CLOSE: (69), (73), (114) are inconsistent by sub-proof #261.
% 194.76/31.89  | | | | | | | 
% 194.76/31.89  | | | | | | End of split
% 194.76/31.89  | | | | | | 
% 194.76/31.89  | | | | | End of split
% 194.76/31.89  | | | | | 
% 194.76/31.89  | | | | Case 2:
% 194.76/31.89  | | | | | 
% 194.76/31.89  | | | | |   (115)  all_56_5 = e3 & op(e2, e1) = e3
% 194.76/31.89  | | | | | 
% 194.76/31.89  | | | | | REF_CLOSE: (32), (57), (115) are inconsistent by sub-proof #260.
% 194.76/31.89  | | | | | 
% 194.76/31.89  | | | | End of split
% 194.76/31.89  | | | | 
% 194.76/31.89  | | | Case 2:
% 194.76/31.89  | | | | 
% 194.76/31.89  | | | |   (116)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0,
% 194.76/31.89  | | | |              e1) = e3)
% 194.76/31.89  | | | | 
% 194.76/31.89  | | | | REF_CLOSE: (9), (10), (15), (16), (24), (29), (31), (32), (33), (48),
% 194.76/31.89  | | | |            (52), (53), (69), (71), (72), (73), (74), (77), (116) are
% 194.76/31.89  | | | |            inconsistent by sub-proof #253.
% 194.76/31.89  | | | | 
% 194.76/31.89  | | | End of split
% 194.76/31.89  | | | 
% 194.76/31.89  | | End of split
% 194.76/31.89  | | 
% 194.76/31.89  | Case 2:
% 194.76/31.89  | | 
% 194.76/31.89  | |   (117)   ~ (all_6_1 = e2) & op(e3, e0) = all_6_1 & $i(all_6_1)
% 194.76/31.89  | | 
% 194.76/31.89  | | ALPHA: (117) implies:
% 194.76/31.89  | |   (118)   ~ (all_6_1 = e2)
% 194.76/31.89  | |   (119)  op(e3, e0) = all_6_1
% 194.76/31.89  | | 
% 194.76/31.89  | | REF_CLOSE: (1), (10), (50), (118), (119) are inconsistent by sub-proof #256.
% 194.76/31.89  | | 
% 194.76/31.89  | End of split
% 194.76/31.89  | 
% 194.76/31.89  End of proof
% 194.76/31.89  
% 194.76/31.89  Sub-proof #253 shows that the following formulas are inconsistent:
% 194.76/31.89  ----------------------------------------------------------------
% 194.76/31.89    (1)   ~ (e3 = e2)
% 194.76/31.89    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.89           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.89    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.76/31.89         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.76/31.89    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.76/31.89         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.76/31.89    (5)   ~ (all_10_0 = e2)
% 194.76/31.89    (6)   ~ (all_52_9 = e2)
% 194.76/31.89    (7)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.89    (8)   ~ (all_52_8 = e2)
% 194.76/31.89    (9)  op(e1, e1) = e2
% 194.76/31.89    (10)  all_56_5 = e0
% 194.76/31.89    (11)   ~ (e1 = e0)
% 194.76/31.89    (12)   ~ (e2 = e1)
% 194.76/31.89    (13)   ~ (all_52_8 = all_10_0)
% 194.76/31.89    (14)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.76/31.89    (15)  op(e2, e1) = all_52_9
% 194.76/31.89    (16)   ~ (all_10_0 = e0)
% 194.76/31.89    (17)  op(e3, e1) = all_52_8
% 194.76/31.89    (18)   ~ (e3 = e1)
% 194.76/31.89    (19)  all_54_14 = all_10_0
% 194.76/31.89  
% 194.76/31.89  Begin of proof
% 194.76/31.89  | 
% 194.76/31.89  | BETA: splitting (14) gives:
% 194.76/31.89  | 
% 194.76/31.89  | Case 1:
% 194.76/31.89  | | 
% 194.76/31.89  | |   (20)  all_56_8 = e3 & op(e1, e1) = e3
% 194.76/31.89  | | 
% 194.76/31.89  | | ALPHA: (20) implies:
% 194.76/31.89  | |   (21)  op(e1, e1) = e3
% 194.76/31.89  | | 
% 194.76/31.89  | | REF_CLOSE: (1), (2), (9), (21) are inconsistent by sub-proof #1777.
% 194.76/31.89  | | 
% 194.76/31.89  | Case 2:
% 194.76/31.89  | | 
% 194.76/31.89  | |   (22)  all_56_14 = e3 & op(e0, e1) = e3
% 194.76/31.89  | | 
% 194.76/31.89  | | ALPHA: (22) implies:
% 194.76/31.89  | |   (23)  all_56_14 = e3
% 194.76/31.89  | | 
% 194.76/31.89  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 194.76/31.89  | |            (15), (16), (17), (18), (19), (23) are inconsistent by sub-proof
% 194.76/31.89  | |            #258.
% 194.76/31.89  | | 
% 194.76/31.89  | End of split
% 194.76/31.89  | 
% 194.76/31.89  End of proof
% 194.76/31.89  
% 194.76/31.89  Sub-proof #254 shows that the following formulas are inconsistent:
% 194.76/31.89  ----------------------------------------------------------------
% 194.76/31.89    (1)  all_54_4 = all_52_1
% 194.76/31.89    (2)  all_54_7 = all_52_13
% 194.76/31.89    (3)   ~ (all_52_1 = e0)
% 194.76/31.89    (4)   ~ (all_52_13 = e2)
% 194.76/31.89    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.89           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.89    (6)  op(e1, e0) = all_52_14
% 194.76/31.89    (7)   ~ (all_6_0 = e1)
% 194.76/31.89    (8)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.76/31.89    (9)   ~ (all_52_1 = all_52_13)
% 194.76/31.89    (10)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.89    (11)   ~ (all_52_13 = all_52_14)
% 194.76/31.89    (12)   ~ (all_52_1 = e2)
% 194.76/31.89    (13)  op(e1, e0) = e1
% 194.76/31.89    (14)  op(e2, e3) = all_6_0
% 194.76/31.89    (15)   ~ (all_52_13 = e0)
% 194.76/31.89    (16)  op(e2, e3) = all_52_1
% 194.76/31.89  
% 194.76/31.89  Begin of proof
% 194.76/31.89  | 
% 194.76/31.89  | GROUND_INST: instantiating (5) with all_52_14, e1, e0, e1, simplifying with
% 194.76/31.89  |              (6), (13) gives:
% 194.76/31.89  |   (17)  all_52_14 = e1
% 194.76/31.89  | 
% 194.76/31.89  | GROUND_INST: instantiating (5) with all_52_1, all_6_0, e3, e2, simplifying
% 194.76/31.89  |              with (14), (16) gives:
% 194.76/31.89  |   (18)  all_52_1 = all_6_0
% 194.76/31.89  | 
% 194.76/31.89  | COMBINE_EQS: (1), (18) imply:
% 194.76/31.89  |   (19)  all_54_4 = all_6_0
% 194.76/31.89  | 
% 194.76/31.89  | REDUCE: (9), (18) imply:
% 194.76/31.89  |   (20)   ~ (all_52_13 = all_6_0)
% 194.76/31.89  | 
% 194.76/31.89  | SIMP: (20) implies:
% 194.76/31.89  |   (21)   ~ (all_52_13 = all_6_0)
% 194.76/31.89  | 
% 194.76/31.89  | REDUCE: (12), (18) imply:
% 194.76/31.89  |   (22)   ~ (all_6_0 = e2)
% 194.76/31.89  | 
% 194.76/31.89  | REDUCE: (3), (18) imply:
% 194.76/31.89  |   (23)   ~ (all_6_0 = e0)
% 194.76/31.89  | 
% 194.76/31.89  | REDUCE: (11), (17) imply:
% 194.76/31.89  |   (24)   ~ (all_52_13 = e1)
% 194.76/31.89  | 
% 194.76/31.89  | REF_CLOSE: (2), (4), (7), (8), (10), (15), (19), (21), (22), (23), (24) are
% 194.76/31.89  |            inconsistent by sub-proof #264.
% 194.76/31.89  | 
% 194.76/31.89  End of proof
% 194.76/31.89  
% 194.76/31.89  Sub-proof #255 shows that the following formulas are inconsistent:
% 194.76/31.89  ----------------------------------------------------------------
% 194.76/31.89    (1)  op(e3, e0) = e2
% 194.76/31.89    (2)  op(e3, e3) = e0
% 194.76/31.89    (3)   ~ (all_52_7 = e0)
% 194.76/31.89    (4)  all_54_4 = all_52_1
% 194.76/31.89    (5)  all_54_7 = all_52_13
% 194.76/31.89    (6)   ~ (all_52_1 = e0)
% 194.76/31.89    (7)   ~ (all_52_7 = e2)
% 194.76/31.89    (8)   ~ (all_52_13 = e2)
% 194.76/31.89    (9)   ~ (e3 = e2)
% 194.76/31.89    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.76/31.89            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.76/31.89    (11)  op(e3, e2) = all_52_4
% 194.76/31.89    (12)  op(e2, e2) = all_4_2
% 194.76/31.89    (13)   ~ (all_52_7 = all_52_11)
% 194.76/31.89    (14)  op(e0, e1) = all_10_0
% 194.76/31.89    (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.76/31.89          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.76/31.89    (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.76/31.89          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.76/31.89    (17)  all_54_13 = all_52_7
% 194.76/31.89    (18)   ~ (all_52_4 = all_52_7)
% 194.76/31.89    (19)  op(e3, e0) = all_8_1
% 194.76/31.89    (20)  op(e0, e3) = all_52_3
% 194.76/31.89    (21)  op(e2, e0) = all_52_13
% 194.76/31.89    (22)  op(e1, e0) = all_52_14
% 194.76/31.89    (23)   ~ (all_8_0 = e2)
% 194.76/31.89    (24)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.76/31.89              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.76/31.89            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.76/31.89            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.76/31.89            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.76/31.89            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.76/31.89            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.76/31.89            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.76/31.89            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.76/31.89            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.76/31.89            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.76/31.89            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.76/31.89            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.76/31.89            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.76/31.89            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.76/31.89            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.76/31.89            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.76/31.89            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.76/31.89            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.76/31.89            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.76/31.89            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.76/31.89            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.89            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.76/31.89            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.76/31.89            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.76/31.89            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.76/31.89            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.76/31.89            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.76/31.89            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.89            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.76/31.89            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.76/31.89            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.76/31.89            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.76/31.89            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.76/31.89            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.89            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.76/31.89            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.89            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.76/31.89            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.76/31.89            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.89            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.76/31.89            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.76/31.89            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.76/31.89            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.76/31.89            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.76/31.89            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.76/31.89            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.76/31.89            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.76/31.89              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.76/31.89            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.89            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.76/31.89              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.76/31.89            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.76/31.89            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.76/31.89                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.76/31.89                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.89                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.76/31.89                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.76/31.89                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.76/31.89                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.76/31.89                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.76/31.89              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.76/31.89                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.76/31.89                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.76/31.89                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.76/31.89                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.76/31.89                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.76/31.89                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.76/31.89                $i(all_57_7))))
% 194.76/31.89    (25)   ~ (all_52_9 = e2)
% 194.76/31.89    (26)  op(e0, e1) = all_52_11
% 194.76/31.89    (27)   ~ (all_4_2 = e3)
% 194.76/31.89    (28)   ~ (all_52_8 = all_52_12)
% 194.76/31.89    (29)   ~ (all_52_8 = e2)
% 194.76/31.89    (30)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.76/31.89    (31)  op(e1, e1) = e2
% 194.76/31.89    (32)  all_56_5 = e0
% 194.76/31.89    (33)   ~ (e1 = e0)
% 194.76/31.89    (34)   ~ (all_52_1 = all_52_13)
% 194.76/31.89    (35)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.76/31.89    (36)   ~ (all_52_8 = all_52_11)
% 194.76/31.89    (37)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.76/31.89          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.76/31.89    (38)   ~ (all_10_0 = e3)
% 194.76/31.89    (39)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.89    (40)   ~ (all_52_13 = all_52_14)
% 194.76/31.89    (41)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.76/31.89    (42)   ~ (all_52_1 = e2)
% 194.76/31.89    (43)   ~ (e2 = e1)
% 194.76/31.89    (44)  all_54_14 = all_52_11
% 194.76/31.89    (45)   ~ (all_52_11 = e0)
% 194.76/31.89    (46)   ~ (all_52_3 = e0)
% 194.76/31.89    (47)  op(e3, e0) = all_52_12
% 194.76/31.89    (48)  op(e2, e2) = e2
% 194.76/31.89    (49)  op(e2, e1) = all_52_9
% 194.76/31.89    (50)  op(e0, e0) = e0
% 194.76/31.89    (51)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.76/31.89            $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.76/31.89            & $i(all_8_1))
% 194.76/31.89    (52)   ~ (all_52_13 = e0)
% 194.76/31.89    (53)  op(e3, e1) = all_52_8
% 194.76/31.89    (54)   ~ (e3 = e1)
% 194.76/31.89    (55)  op(e0, e2) = all_52_7
% 194.76/31.89    (56)   ~ (e2 = e0)
% 194.76/31.89    (57)  op(e2, e3) = all_52_1
% 194.76/31.89    (58)  op(all_8_1, e3) = all_8_0
% 194.76/31.89    (59)   ~ (e3 = e0)
% 194.76/31.89    (60)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 194.76/31.89            $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 194.76/31.89            & $i(all_6_1))
% 194.76/31.89    (61)   ~ (all_52_11 = e2)
% 194.76/31.89  
% 194.76/31.89  Begin of proof
% 194.76/31.89  | 
% 194.76/31.89  | BETA: splitting (60) gives:
% 194.76/31.89  | 
% 194.76/31.89  | Case 1:
% 194.76/31.89  | | 
% 194.76/31.89  | |   (62)   ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1
% 194.76/31.89  | |         & $i(all_6_0) & $i(all_6_1)
% 194.76/31.89  | | 
% 194.76/31.89  | | ALPHA: (62) implies:
% 194.76/31.89  | |   (63)   ~ (all_6_0 = e1)
% 194.76/31.89  | |   (64)  op(e3, e0) = all_6_1
% 194.76/31.89  | |   (65)  op(all_6_1, e3) = all_6_0
% 194.76/31.89  | | 
% 194.76/31.89  | | GROUND_INST: instantiating (10) with all_52_11, all_10_0, e1, e0,
% 194.76/31.89  | |              simplifying with (14), (26) gives:
% 194.76/31.89  | |   (66)  all_52_11 = all_10_0
% 194.76/31.89  | | 
% 194.76/31.89  | | GROUND_INST: instantiating (10) with e2, all_8_1, e0, e3, simplifying with
% 194.76/31.89  | |              (1), (19) gives:
% 194.76/31.89  | |   (67)  all_8_1 = e2
% 194.76/31.89  | | 
% 194.76/31.90  | | GROUND_INST: instantiating (10) with all_6_1, all_8_1, e0, e3, simplifying
% 194.76/31.90  | |              with (19), (64) gives:
% 194.76/31.90  | |   (68)  all_8_1 = all_6_1
% 194.76/31.90  | | 
% 194.76/31.90  | | COMBINE_EQS: (67), (68) imply:
% 194.76/31.90  | |   (69)  all_6_1 = e2
% 194.76/31.90  | | 
% 194.76/31.90  | | SIMP: (69) implies:
% 194.76/31.90  | |   (70)  all_6_1 = e2
% 194.76/31.90  | | 
% 194.76/31.90  | | COMBINE_EQS: (44), (66) imply:
% 194.76/31.90  | |   (71)  all_54_14 = all_10_0
% 194.76/31.90  | | 
% 194.76/31.90  | | REDUCE: (13), (66) imply:
% 194.76/31.90  | |   (72)   ~ (all_52_7 = all_10_0)
% 194.76/31.90  | | 
% 194.76/31.90  | | REDUCE: (36), (66) imply:
% 194.76/31.90  | |   (73)   ~ (all_52_8 = all_10_0)
% 194.76/31.90  | | 
% 194.76/31.90  | | REDUCE: (61), (66) imply:
% 194.76/31.90  | |   (74)   ~ (all_10_0 = e2)
% 194.76/31.90  | | 
% 194.76/31.90  | | REDUCE: (45), (66) imply:
% 194.76/31.90  | |   (75)   ~ (all_10_0 = e0)
% 194.76/31.90  | | 
% 194.76/31.90  | | REDUCE: (58), (67) imply:
% 194.76/31.90  | |   (76)  op(e2, e3) = all_8_0
% 194.76/31.90  | | 
% 194.76/31.90  | | REDUCE: (65), (70) imply:
% 194.76/31.90  | |   (77)  op(e2, e3) = all_6_0
% 194.76/31.90  | | 
% 194.76/31.90  | | BETA: splitting (39) gives:
% 194.76/31.90  | | 
% 194.76/31.90  | | Case 1:
% 194.76/31.90  | | | 
% 194.76/31.90  | | |   (78)  all_54_14 = e3
% 194.76/31.90  | | | 
% 194.76/31.90  | | | REF_CLOSE: (38), (71), (78) are inconsistent by sub-proof #268.
% 194.76/31.90  | | | 
% 194.76/31.90  | | Case 2:
% 194.76/31.90  | | | 
% 194.76/31.90  | | |   (79)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.76/31.90  | | | 
% 194.76/31.90  | | | BETA: splitting (37) gives:
% 194.76/31.90  | | | 
% 194.76/31.90  | | | Case 1:
% 194.76/31.90  | | | | 
% 194.76/31.90  | | | |   (80)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1)
% 194.76/31.90  | | | |           = e3)
% 194.76/31.90  | | | | 
% 194.76/31.90  | | | | BETA: splitting (80) gives:
% 194.76/31.90  | | | | 
% 194.76/31.90  | | | | Case 1:
% 194.76/31.90  | | | | | 
% 194.76/31.90  | | | | |   (81)  all_56_4 = e3 & op(e3, e1) = e3
% 194.76/31.90  | | | | | 
% 194.76/31.90  | | | | | ALPHA: (81) implies:
% 194.76/31.90  | | | | |   (82)  op(e3, e1) = e3
% 194.76/31.90  | | | | | 
% 194.76/31.90  | | | | | BETA: splitting (79) gives:
% 194.76/31.90  | | | | | 
% 194.76/31.90  | | | | | Case 1:
% 194.76/31.90  | | | | | | 
% 194.76/31.90  | | | | | |   (83)  all_54_14 = e2
% 194.76/31.90  | | | | | | 
% 194.76/31.90  | | | | | | REF_CLOSE: (71), (74), (83) are inconsistent by sub-proof #267.
% 194.76/31.90  | | | | | | 
% 194.76/31.90  | | | | | Case 2:
% 194.76/31.90  | | | | | | 
% 194.76/31.90  | | | | | |   (84)   ~ (all_54_14 = e2)
% 194.76/31.90  | | | | | |   (85)  all_54_14 = e1 | all_54_14 = e0
% 194.76/31.90  | | | | | | 
% 194.76/31.90  | | | | | | BETA: splitting (85) gives:
% 194.76/31.90  | | | | | | 
% 194.76/31.90  | | | | | | Case 1:
% 194.76/31.90  | | | | | | | 
% 194.76/31.90  | | | | | | |   (86)  all_54_14 = e1
% 194.76/31.90  | | | | | | | 
% 194.76/31.90  | | | | | | | COMBINE_EQS: (71), (86) imply:
% 194.76/31.90  | | | | | | |   (87)  all_10_0 = e1
% 194.76/31.90  | | | | | | | 
% 194.76/31.90  | | | | | | | SIMP: (87) implies:
% 194.76/31.90  | | | | | | |   (88)  all_10_0 = e1
% 194.76/31.90  | | | | | | | 
% 194.76/31.90  | | | | | | | REDUCE: (72), (88) imply:
% 194.76/31.90  | | | | | | |   (89)   ~ (all_52_7 = e1)
% 194.76/31.90  | | | | | | | 
% 194.76/31.90  | | | | | | | REDUCE: (74), (88) imply:
% 194.76/31.90  | | | | | | |   (90)   ~ (e2 = e1)
% 194.76/31.90  | | | | | | | 
% 194.76/31.90  | | | | | | | BETA: splitting (41) gives:
% 194.76/31.90  | | | | | | | 
% 194.76/31.90  | | | | | | | Case 1:
% 194.76/31.90  | | | | | | | | 
% 194.76/31.90  | | | | | | | |   (91)  all_54_13 = e3
% 194.76/31.90  | | | | | | | | 
% 194.76/31.90  | | | | | | | | COMBINE_EQS: (17), (91) imply:
% 194.76/31.90  | | | | | | | |   (92)  all_52_7 = e3
% 194.76/31.90  | | | | | | | | 
% 194.76/31.90  | | | | | | | | SIMP: (92) implies:
% 194.76/31.90  | | | | | | | |   (93)  all_52_7 = e3
% 194.76/31.90  | | | | | | | | 
% 194.76/31.90  | | | | | | | | REDUCE: (18), (93) imply:
% 194.76/31.90  | | | | | | | |   (94)   ~ (all_52_4 = e3)
% 194.76/31.90  | | | | | | | | 
% 194.76/31.90  | | | | | | | | REDUCE: (55), (93) imply:
% 194.76/31.90  | | | | | | | |   (95)  op(e0, e2) = e3
% 194.76/31.90  | | | | | | | | 
% 194.76/31.90  | | | | | | | | BETA: splitting (24) gives:
% 194.76/31.90  | | | | | | | | 
% 194.76/31.90  | | | | | | | | Case 1:
% 194.76/31.90  | | | | | | | | | 
% 194.76/31.90  | | | | | | | | |   (96)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.76/31.90  | | | | | | | | |            ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 194.76/31.90  | | | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3
% 194.76/31.90  | | | | | | | | |           & $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 194.76/31.90  | | | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 194.76/31.90  | | | | | | | | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.76/31.90  | | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.76/31.90  | | | | | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 194.76/31.90  | | | | | | | | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.76/31.90  | | | | | | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 194.76/31.90  | | | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 194.76/31.90  | | | | | | | | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.90  | | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 194.76/31.90  | | | | | | | | |           all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.76/31.90  | | | | | | | | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.76/31.90  | | | | | | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 194.76/31.90  | | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.76/31.90  | | | | | | | | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.76/31.90  | | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 194.76/31.90  | | | | | | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.76/31.90  | | | | | | | | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.76/31.90  | | | | | | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.76/31.90  | | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.76/31.90  | | | | | | | | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.76/31.90  | | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 194.76/31.90  | | | | | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.76/31.90  | | | | | | | | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.76/31.90  | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_7) & $i(all_57_10))
% 194.76/31.90  | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | REF_CLOSE: (2), (10), (11), (12), (27), (31), (42), (43),
% 194.76/31.90  | | | | | | | | |            (48), (50), (56), (57), (59), (94), (96) are
% 194.76/31.90  | | | | | | | | |            inconsistent by sub-proof #266.
% 194.76/31.90  | | | | | | | | | 
% 194.76/31.90  | | | | | | | | Case 2:
% 194.76/31.90  | | | | | | | | | 
% 194.76/31.90  | | | | | | | | |   (97)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &
% 194.76/31.90  | | | | | | | | |            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.76/31.90  | | | | | | | | |           op(e3, e1) = e3 & op(e0, e1) = all_57_8 & op(e0, e0)
% 194.76/31.90  | | | | | | | | |           = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7 =
% 194.76/31.90  | | | | | | | | |           e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.76/31.90  | | | | | | | | |           (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.76/31.90  | | | | | | | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2
% 194.76/31.90  | | | | | | | | |           & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.76/31.90  | | | | | | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.76/31.90  | | | | | | | | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.76/31.90  | | | | | | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 194.76/31.90  | | | | | | | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 194.76/31.90  | | | | | | | | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.90  | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 194.76/31.90  | | | | | | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 194.76/31.90  | | | | | | | | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.90  | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 &
% 194.76/31.90  | | | | | | | | |           all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 194.76/31.90  | | | | | | | | |             = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.76/31.90  | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 194.76/31.90  | | | | | | | | |           all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 194.76/31.90  | | | | | | | | |             = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.76/31.90  | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 194.76/31.90  | | | | | | | | |           all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13
% 194.76/31.90  | | | | | | | | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.76/31.90  | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 194.76/31.90  | | | | | | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14
% 194.76/31.90  | | | | | | | | |             = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.90  | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.76/31.90  | | | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.76/31.90  | | | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.76/31.90  | | | | | | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.76/31.90  | | | | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.76/31.90  | | | | | | | | |               op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.90  | | | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.76/31.90  | | | | | | | | |               &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.76/31.90  | | | | | | | | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.76/31.90  | | | | | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.76/31.90  | | | | | | | | |               all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.76/31.90  | | | | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.76/31.90  | | | | | | | | |               = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.76/31.90  | | | | | | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.76/31.90  | | | | | | | | |                 e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.76/31.90  | | | | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.76/31.90  | | | | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.76/31.90  | | | | | | | | |               &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.76/31.90  | | | | | | | | |               op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.76/31.90  | | | | | | | | |                 e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.76/31.90  | | | | | | | | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.76/31.90  | | | | | | | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.76/31.90  | | | | | | | | |               = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.76/31.90  | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | BETA: splitting (97) gives:
% 194.76/31.90  | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | Case 1:
% 194.76/31.90  | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | |   (98)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.76/31.90  | | | | | | | | | |           &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.76/31.90  | | | | | | | | | |           op(e3, e1) = e3 & op(e0, e1) = all_57_8 & op(e0,
% 194.76/31.90  | | | | | | | | | |             e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 194.76/31.90  | | | | | | | | | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.76/31.90  | | | | | | | | | |           &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3,
% 194.76/31.90  | | | | | | | | | |             e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2,
% 194.76/31.90  | | | | | | | | | |             e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 194.76/31.90  | | | | | | | | | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.76/31.90  | | | | | | | | | |           &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.76/31.90  | | | | | | | | | |           op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.76/31.90  | | | | | | | | | |             e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.76/31.90  | | | | | | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.76/31.90  | | | | | | | | | |             e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.76/31.90  | | | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.76/31.90  | | | | | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.76/31.90  | | | | | | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &
% 194.76/31.90  | | | | | | | | | |            ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3,
% 194.76/31.90  | | | | | | | | | |             e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 194.76/31.90  | | | | | | | | | |           e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.76/31.90  | | | | | | | | | |           $i(all_57_13))
% 194.76/31.90  | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | BETA: splitting (98) gives:
% 194.76/31.90  | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | Case 1:
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | |   (99)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.76/31.90  | | | | | | | | | | |             e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.76/31.90  | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.76/31.90  | | | | | | | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.90  | | | | | | | | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.76/31.90  | | | | | | | | | | |           &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.76/31.90  | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.76/31.90  | | | | | | | | | | |             e2) = all_57_12 & op(e2, e1) = e2 &
% 194.76/31.90  | | | | | | | | | | |           $i(all_57_6) & $i(all_57_12))
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | REF_CLOSE: (2), (10), (33), (50), (99) are inconsistent by
% 194.76/31.90  | | | | | | | | | | |            sub-proof #370.
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | Case 2:
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | |   (100)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.76/31.90  | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.76/31.90  | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.76/31.90  | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.76/31.90  | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 194.76/31.90  | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.76/31.90  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.76/31.90  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.90  | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 194.76/31.90  | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.76/31.90  | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.76/31.90  | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.76/31.90  | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | REF_CLOSE: (10), (28), (33), (47), (50), (53), (82), (100)
% 194.76/31.90  | | | | | | | | | | |            are inconsistent by sub-proof #520.
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | End of split
% 194.76/31.90  | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | Case 2:
% 194.76/31.90  | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | |   (101)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.76/31.90  | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.76/31.90  | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.76/31.90  | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.76/31.90  | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.76/31.90  | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.76/31.90  | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.76/31.90  | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 194.76/31.90  | | | | | | | | | |          (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.76/31.90  | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.76/31.90  | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.76/31.90  | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.90  | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 194.76/31.90  | | | | | | | | | |            &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.76/31.90  | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1,
% 194.76/31.90  | | | | | | | | | |              e1) = all_57_14 & op(e1, e0) = e1 &
% 194.76/31.90  | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.76/31.90  | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.76/31.90  | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.76/31.90  | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.76/31.90  | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.90  | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.76/31.90  | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.76/31.90  | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.76/31.90  | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.76/31.90  | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.76/31.90  | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.76/31.90  | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 194.76/31.90  | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.76/31.90  | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.76/31.90  | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.76/31.90  | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.76/31.90  | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.76/31.90  | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.76/31.90  | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 194.76/31.90  | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.76/31.90  | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.76/31.90  | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.76/31.90  | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 194.76/31.90  | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | BETA: splitting (101) gives:
% 194.76/31.90  | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | Case 1:
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | |   (102)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.76/31.90  | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.76/31.90  | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.76/31.90  | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.76/31.90  | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.76/31.90  | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.76/31.90  | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.76/31.90  | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.76/31.90  | | | | | | | | | | |            $i(all_57_14))
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | BETA: splitting (102) gives:
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | Case 1:
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | |   (103)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.76/31.90  | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.76/31.90  | | | | | | | | | | | |          op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.76/31.90  | | | | | | | | | | | |          op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | ALPHA: (103) implies:
% 194.76/31.90  | | | | | | | | | | | |   (104)  op(e2, e0) = e2
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | REF_CLOSE: (8), (10), (21), (104) are inconsistent by
% 194.76/31.90  | | | | | | | | | | | |            sub-proof #1662.
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | Case 2:
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | |   (105)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.76/31.90  | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.76/31.90  | | | | | | | | | | | |          op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.76/31.90  | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | ALPHA: (105) implies:
% 194.76/31.90  | | | | | | | | | | | |   (106)  op(e1, e0) = e1
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (10), (22), (23), (30), (34),
% 194.76/31.90  | | | | | | | | | | | |            (35), (40), (52), (57), (63), (76), (77), (106)
% 194.76/31.90  | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | End of split
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | Case 2:
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | |   (107)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.76/31.90  | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.76/31.90  | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.76/31.90  | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.90  | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.76/31.90  | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.76/31.90  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.76/31.90  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.76/31.90  | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.76/31.90  | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.76/31.90  | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.76/31.90  | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.76/31.90  | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.90  | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.76/31.90  | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.76/31.90  | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.76/31.90  | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.76/31.90  | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.76/31.90  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.76/31.90  | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.76/31.90  | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.76/31.90  | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.76/31.90  | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.76/31.90  | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.76/31.90  | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.76/31.90  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.76/31.90  | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.76/31.90  | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.76/31.90  | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.76/31.90  | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.76/31.90  | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | BETA: splitting (107) gives:
% 194.76/31.90  | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | Case 1:
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | |   (108)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.76/31.90  | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.76/31.90  | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.76/31.90  | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.76/31.90  | | | | | | | | | | | |          $i(all_57_13)
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | ALPHA: (108) implies:
% 194.76/31.90  | | | | | | | | | | | |   (109)  op(e2, e0) = e2
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | REF_CLOSE: (8), (10), (21), (109) are inconsistent by
% 194.76/31.90  | | | | | | | | | | | |            sub-proof #1662.
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | Case 2:
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | |   (110)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.76/31.90  | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.76/31.90  | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 194.76/31.90  | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 194.76/31.90  | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.76/31.90  | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.76/31.90  | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.76/31.90  | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.76/31.90  | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 194.76/31.90  | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.76/31.90  | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 194.76/31.90  | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.76/31.90  | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.76/31.90  | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.76/31.90  | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.76/31.90  | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.76/31.90  | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.76/31.90  | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.76/31.90  | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.76/31.90  | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.76/31.90  | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.76/31.90  | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.76/31.90  | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.76/31.90  | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.76/31.90  | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.76/31.90  | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.76/31.90  | | | | | | | | | | | |                & $i(all_57_7))))
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | BETA: splitting (110) gives:
% 194.76/31.90  | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | Case 1:
% 194.76/31.90  | | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | |   (111)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.76/31.90  | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.76/31.90  | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.76/31.90  | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 194.76/31.90  | | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | | ALPHA: (111) implies:
% 194.76/31.90  | | | | | | | | | | | | |   (112)  op(e1, e0) = e1
% 194.76/31.90  | | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (10), (22), (23), (30), (34),
% 194.76/31.90  | | | | | | | | | | | | |            (35), (40), (52), (57), (63), (76), (77), (112)
% 194.76/31.90  | | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 194.76/31.90  | | | | | | | | | | | | | 
% 194.76/31.90  | | | | | | | | | | | | Case 2:
% 194.76/31.90  | | | | | | | | | | | | | 
% 194.76/31.91  | | | | | | | | | | | | |   (113)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.76/31.91  | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.76/31.91  | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.76/31.91  | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.76/31.91  | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.76/31.91  | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.76/31.91  | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.76/31.91  | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.76/31.91  | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.76/31.91  | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.76/31.91  | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 194.76/31.91  | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.76/31.91  | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.76/31.91  | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.76/31.91  | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.76/31.91  | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.76/31.91  | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.76/31.91  | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 194.76/31.91  | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.76/31.91  | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.76/31.91  | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.76/31.91  | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 194.76/31.91  | | | | | | | | | | | | | 
% 194.76/31.91  | | | | | | | | | | | | | ALPHA: (113) implies:
% 194.87/31.91  | | | | | | | | | | | | |   (114)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.87/31.91  | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.87/31.91  | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.87/31.91  | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.87/31.91  | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.87/31.91  | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.87/31.91  | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.87/31.91  | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.87/31.91  | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.87/31.91  | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.87/31.91  | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.87/31.91  | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.87/31.91  | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.87/31.91  | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.87/31.91  | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.87/31.91  | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.87/31.91  | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.87/31.91  | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.87/31.91  | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.87/31.91  | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.87/31.91  | | | | | | | | | | | | | 
% 194.87/31.91  | | | | | | | | | | | | | REF_CLOSE: (2), (10), (12), (20), (27), (33), (43), (46),
% 194.87/31.91  | | | | | | | | | | | | |            (48), (59), (95), (114) are inconsistent by
% 194.87/31.91  | | | | | | | | | | | | |            sub-proof #262.
% 194.87/31.91  | | | | | | | | | | | | | 
% 194.87/31.91  | | | | | | | | | | | | End of split
% 194.87/31.91  | | | | | | | | | | | | 
% 194.87/31.91  | | | | | | | | | | | End of split
% 194.87/31.91  | | | | | | | | | | | 
% 194.87/31.91  | | | | | | | | | | End of split
% 194.87/31.91  | | | | | | | | | | 
% 194.87/31.91  | | | | | | | | | End of split
% 194.87/31.91  | | | | | | | | | 
% 194.87/31.91  | | | | | | | | End of split
% 194.87/31.91  | | | | | | | | 
% 194.87/31.91  | | | | | | | Case 2:
% 194.87/31.91  | | | | | | | | 
% 194.87/31.91  | | | | | | | |   (115)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.87/31.91  | | | | | | | | 
% 194.87/31.91  | | | | | | | | REF_CLOSE: (3), (7), (17), (89), (115) are inconsistent by
% 194.87/31.91  | | | | | | | |            sub-proof #1651.
% 194.87/31.91  | | | | | | | | 
% 194.87/31.91  | | | | | | | End of split
% 194.87/31.91  | | | | | | | 
% 194.87/31.91  | | | | | | Case 2:
% 194.87/31.91  | | | | | | | 
% 194.87/31.91  | | | | | | |   (116)  all_54_14 = e0
% 194.87/31.91  | | | | | | | 
% 194.87/31.91  | | | | | | | REF_CLOSE: (71), (75), (116) are inconsistent by sub-proof #261.
% 194.87/31.91  | | | | | | | 
% 194.87/31.91  | | | | | | End of split
% 194.87/31.91  | | | | | | 
% 194.87/31.91  | | | | | End of split
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | Case 2:
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | |   (117)  all_56_5 = e3 & op(e2, e1) = e3
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | | REF_CLOSE: (32), (59), (117) are inconsistent by sub-proof #260.
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | End of split
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | Case 2:
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | |   (118)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0,
% 194.87/31.91  | | | |              e1) = e3)
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | | BETA: splitting (118) gives:
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | | Case 1:
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | |   (119)  all_56_8 = e3 & op(e1, e1) = e3
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | | ALPHA: (119) implies:
% 194.87/31.91  | | | | |   (120)  op(e1, e1) = e3
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | | REF_CLOSE: (9), (10), (31), (120) are inconsistent by sub-proof #1777.
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | Case 2:
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | |   (121)  all_56_14 = e3 & op(e0, e1) = e3
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | | ALPHA: (121) implies:
% 194.87/31.91  | | | | |   (122)  all_56_14 = e3
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | | REF_CLOSE: (9), (10), (15), (16), (25), (29), (32), (33), (43), (49),
% 194.87/31.91  | | | | |            (53), (54), (71), (73), (74), (75), (79), (122) are
% 194.87/31.91  | | | | |            inconsistent by sub-proof #258.
% 194.87/31.91  | | | | | 
% 194.87/31.91  | | | | End of split
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | End of split
% 194.87/31.91  | | | 
% 194.87/31.91  | | End of split
% 194.87/31.91  | | 
% 194.87/31.91  | Case 2:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (123)   ~ (all_6_1 = e2) & op(e3, e0) = all_6_1 & $i(all_6_1)
% 194.87/31.91  | | 
% 194.87/31.91  | | ALPHA: (123) implies:
% 194.87/31.91  | |   (124)   ~ (all_6_1 = e2)
% 194.87/31.91  | |   (125)  op(e3, e0) = all_6_1
% 194.87/31.91  | | 
% 194.87/31.91  | | REF_CLOSE: (1), (10), (51), (124), (125) are inconsistent by sub-proof #256.
% 194.87/31.91  | | 
% 194.87/31.91  | End of split
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #256 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)  op(e3, e0) = e2
% 194.87/31.91    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.91    (3)   ~ (all_6_1 = e2)
% 194.87/31.91    (4)  op(e3, e0) = all_6_1
% 194.87/31.91    (5)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.87/31.91           $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.87/31.91           & $i(all_8_1))
% 194.87/31.91  
% 194.87/31.91  Begin of proof
% 194.87/31.91  | 
% 194.87/31.91  | BETA: splitting (5) gives:
% 194.87/31.91  | 
% 194.87/31.91  | Case 1:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (6)   ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1
% 194.87/31.91  | |        & $i(all_8_0) & $i(all_8_1)
% 194.87/31.91  | | 
% 194.87/31.91  | | ALPHA: (6) implies:
% 194.87/31.91  | |   (7)  op(e3, e0) = all_8_1
% 194.87/31.91  | | 
% 194.87/31.91  | | REF_CLOSE: (1), (2), (3), (4), (7) are inconsistent by sub-proof #257.
% 194.87/31.91  | | 
% 194.87/31.91  | Case 2:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (8)   ~ (all_8_1 = e1) & op(e3, e0) = all_8_1 & $i(all_8_1)
% 194.87/31.91  | | 
% 194.87/31.91  | | ALPHA: (8) implies:
% 194.87/31.91  | |   (9)  op(e3, e0) = all_8_1
% 194.87/31.91  | | 
% 194.87/31.91  | | REF_CLOSE: (1), (2), (3), (4), (9) are inconsistent by sub-proof #257.
% 194.87/31.91  | | 
% 194.87/31.91  | End of split
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #257 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)  op(e3, e0) = e2
% 194.87/31.91    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.91    (3)  op(e3, e0) = all_8_1
% 194.87/31.91    (4)   ~ (all_6_1 = e2)
% 194.87/31.91    (5)  op(e3, e0) = all_6_1
% 194.87/31.91  
% 194.87/31.91  Begin of proof
% 194.87/31.91  | 
% 194.87/31.91  | GROUND_INST: instantiating (2) with e2, all_8_1, e0, e3, simplifying with (1),
% 194.87/31.91  |              (3) gives:
% 194.87/31.91  |   (6)  all_8_1 = e2
% 194.87/31.91  | 
% 194.87/31.91  | GROUND_INST: instantiating (2) with all_6_1, all_8_1, e0, e3, simplifying with
% 194.87/31.91  |              (3), (5) gives:
% 194.87/31.91  |   (7)  all_8_1 = all_6_1
% 194.87/31.91  | 
% 194.87/31.91  | COMBINE_EQS: (6), (7) imply:
% 194.87/31.91  |   (8)  all_6_1 = e2
% 194.87/31.91  | 
% 194.87/31.91  | REDUCE: (4), (8) imply:
% 194.87/31.91  |   (9)  $false
% 194.87/31.91  | 
% 194.87/31.91  | CLOSE: (9) is inconsistent.
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #258 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)   ~ (e3 = e2)
% 194.87/31.91    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.91    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.87/31.91         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.87/31.91    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.87/31.91         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.87/31.91    (5)   ~ (all_10_0 = e2)
% 194.87/31.91    (6)   ~ (all_52_9 = e2)
% 194.87/31.91    (7)  all_56_14 = e3
% 194.87/31.91    (8)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.87/31.91    (9)   ~ (all_52_8 = e2)
% 194.87/31.91    (10)  all_56_5 = e0
% 194.87/31.91    (11)   ~ (e1 = e0)
% 194.87/31.91    (12)   ~ (e2 = e1)
% 194.87/31.91    (13)   ~ (all_52_8 = all_10_0)
% 194.87/31.91    (14)  op(e2, e1) = all_52_9
% 194.87/31.91    (15)   ~ (all_10_0 = e0)
% 194.87/31.91    (16)  op(e3, e1) = all_52_8
% 194.87/31.91    (17)   ~ (e3 = e1)
% 194.87/31.91    (18)  all_54_14 = all_10_0
% 194.87/31.91  
% 194.87/31.91  Begin of proof
% 194.87/31.91  | 
% 194.87/31.91  | BETA: splitting (4) gives:
% 194.87/31.91  | 
% 194.87/31.91  | Case 1:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 194.87/31.91  | |           e1)
% 194.87/31.91  | | 
% 194.87/31.91  | | BETA: splitting (19) gives:
% 194.87/31.91  | | 
% 194.87/31.91  | | Case 1:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (20)  all_56_4 = e1 & op(e3, e1) = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | ALPHA: (20) implies:
% 194.87/31.91  | | |   (21)  op(e3, e1) = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REF_CLOSE: (2), (5), (8), (13), (15), (16), (18), (21) are inconsistent by
% 194.87/31.91  | | |            sub-proof #259.
% 194.87/31.91  | | | 
% 194.87/31.91  | | Case 2:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (22)  all_56_5 = e1 & op(e2, e1) = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REF_CLOSE: (10), (11), (22) are inconsistent by sub-proof #1236.
% 194.87/31.91  | | | 
% 194.87/31.91  | | End of split
% 194.87/31.91  | | 
% 194.87/31.91  | Case 2:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (23)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 194.87/31.91  | |           e1)
% 194.87/31.91  | | 
% 194.87/31.91  | | BETA: splitting (23) gives:
% 194.87/31.91  | | 
% 194.87/31.91  | | Case 1:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (24)  all_56_8 = e1 & op(e1, e1) = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | ALPHA: (24) implies:
% 194.87/31.91  | | |   (25)  op(e1, e1) = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (12), (14), (16), (25) are
% 194.87/31.91  | | |            inconsistent by sub-proof #545.
% 194.87/31.91  | | | 
% 194.87/31.91  | | Case 2:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (26)  all_56_14 = e1 & op(e0, e1) = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REF_CLOSE: (7), (17), (26) are inconsistent by sub-proof #1748.
% 194.87/31.91  | | | 
% 194.87/31.91  | | End of split
% 194.87/31.91  | | 
% 194.87/31.91  | End of split
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #259 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.91    (2)   ~ (all_10_0 = e2)
% 194.87/31.91    (3)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.87/31.91    (4)   ~ (all_52_8 = all_10_0)
% 194.87/31.91    (5)   ~ (all_10_0 = e0)
% 194.87/31.91    (6)  op(e3, e1) = e1
% 194.87/31.91    (7)  op(e3, e1) = all_52_8
% 194.87/31.91    (8)  all_54_14 = all_10_0
% 194.87/31.91  
% 194.87/31.91  Begin of proof
% 194.87/31.91  | 
% 194.87/31.91  | BETA: splitting (3) gives:
% 194.87/31.91  | 
% 194.87/31.91  | Case 1:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (9)  all_54_14 = e2
% 194.87/31.91  | | 
% 194.87/31.91  | | REF_CLOSE: (2), (8), (9) are inconsistent by sub-proof #267.
% 194.87/31.91  | | 
% 194.87/31.91  | Case 2:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (10)  all_54_14 = e1 | all_54_14 = e0
% 194.87/31.91  | | 
% 194.87/31.91  | | BETA: splitting (10) gives:
% 194.87/31.91  | | 
% 194.87/31.91  | | Case 1:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (11)  all_54_14 = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | COMBINE_EQS: (8), (11) imply:
% 194.87/31.91  | | |   (12)  all_10_0 = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | SIMP: (12) implies:
% 194.87/31.91  | | |   (13)  all_10_0 = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REDUCE: (4), (13) imply:
% 194.87/31.91  | | |   (14)   ~ (all_52_8 = e1)
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REF_CLOSE: (1), (6), (7), (14) are inconsistent by sub-proof #1880.
% 194.87/31.91  | | | 
% 194.87/31.91  | | Case 2:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (15)  all_54_14 = e0
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REF_CLOSE: (5), (8), (15) are inconsistent by sub-proof #261.
% 194.87/31.91  | | | 
% 194.87/31.91  | | End of split
% 194.87/31.91  | | 
% 194.87/31.91  | End of split
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #260 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)  all_56_5 = e3 & op(e2, e1) = e3
% 194.87/31.91    (2)  all_56_5 = e0
% 194.87/31.91    (3)   ~ (e3 = e0)
% 194.87/31.91  
% 194.87/31.91  Begin of proof
% 194.87/31.91  | 
% 194.87/31.91  | ALPHA: (1) implies:
% 194.87/31.91  |   (4)  all_56_5 = e3
% 194.87/31.91  | 
% 194.87/31.91  | COMBINE_EQS: (2), (4) imply:
% 194.87/31.91  |   (5)  e3 = e0
% 194.87/31.91  | 
% 194.87/31.91  | REDUCE: (3), (5) imply:
% 194.87/31.91  |   (6)  $false
% 194.87/31.91  | 
% 194.87/31.91  | CLOSE: (6) is inconsistent.
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #261 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)  all_54_14 = all_10_0
% 194.87/31.91    (2)  all_54_14 = e0
% 194.87/31.91    (3)   ~ (all_10_0 = e0)
% 194.87/31.91  
% 194.87/31.91  Begin of proof
% 194.87/31.91  | 
% 194.87/31.91  | COMBINE_EQS: (1), (2) imply:
% 194.87/31.91  |   (4)  all_10_0 = e0
% 194.87/31.91  | 
% 194.87/31.91  | SIMP: (4) implies:
% 194.87/31.91  |   (5)  all_10_0 = e0
% 194.87/31.91  | 
% 194.87/31.91  | REDUCE: (3), (5) imply:
% 194.87/31.91  |   (6)  $false
% 194.87/31.91  | 
% 194.87/31.91  | CLOSE: (6) is inconsistent.
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #262 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)  op(e3, e3) = e0
% 194.87/31.91    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.91    (3)  op(e2, e2) = all_4_2
% 194.87/31.91    (4)  op(e0, e3) = all_52_3
% 194.87/31.91    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.87/31.91             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.87/31.91           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.87/31.91           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.87/31.91             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.87/31.91           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.87/31.91           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.87/31.91           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.87/31.91           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.87/31.91           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.87/31.91           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.87/31.91         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.87/31.91             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.87/31.91           $i(all_57_7))
% 194.87/31.91    (6)   ~ (all_4_2 = e3)
% 194.87/31.91    (7)   ~ (e1 = e0)
% 194.87/31.91    (8)   ~ (e2 = e1)
% 194.87/31.91    (9)   ~ (all_52_3 = e0)
% 194.87/31.91    (10)  op(e2, e2) = e2
% 194.87/31.91    (11)  op(e0, e2) = e3
% 194.87/31.91    (12)   ~ (e3 = e0)
% 194.87/31.91  
% 194.87/31.91  Begin of proof
% 194.87/31.91  | 
% 194.87/31.91  | BETA: splitting (5) gives:
% 194.87/31.91  | 
% 194.87/31.91  | Case 1:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 194.87/31.91  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 194.87/31.91  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.87/31.91  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.87/31.91  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 194.87/31.91  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.87/31.91  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.87/31.91  | |           $i(all_57_3))
% 194.87/31.91  | | 
% 194.87/31.91  | | BETA: splitting (13) gives:
% 194.87/31.91  | | 
% 194.87/31.91  | | Case 1:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (14)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.87/31.91  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.87/31.91  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 194.87/31.91  | | | 
% 194.87/31.91  | | | ALPHA: (14) implies:
% 194.87/31.91  | | |   (15)  op(e2, e2) = e3
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REF_CLOSE: (2), (3), (6), (15) are inconsistent by sub-proof #1975.
% 194.87/31.91  | | | 
% 194.87/31.91  | | Case 2:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (16)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.87/31.91  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.87/31.91  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.87/31.91  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.87/31.91  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.87/31.91  | | | 
% 194.87/31.91  | | | BETA: splitting (16) gives:
% 194.87/31.91  | | | 
% 194.87/31.91  | | | Case 1:
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | |   (17)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.87/31.91  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.87/31.91  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | | ALPHA: (17) implies:
% 194.87/31.91  | | | |   (18)  op(e0, e3) = e0
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | | REF_CLOSE: (2), (4), (9), (18) are inconsistent by sub-proof #1935.
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | Case 2:
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | |   (19)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.87/31.91  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.87/31.91  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | | ALPHA: (19) implies:
% 194.87/31.91  | | | |   (20)  op(e0, e2) = e0
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | | REF_CLOSE: (2), (11), (12), (20) are inconsistent by sub-proof #618.
% 194.87/31.91  | | | | 
% 194.87/31.91  | | | End of split
% 194.87/31.91  | | | 
% 194.87/31.91  | | End of split
% 194.87/31.91  | | 
% 194.87/31.91  | Case 2:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (21)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.87/31.91  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.87/31.91  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.87/31.91  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.87/31.91  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.87/31.91  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.87/31.91  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.87/31.91  | |           $i(all_57_7))
% 194.87/31.91  | | 
% 194.87/31.91  | | BETA: splitting (21) gives:
% 194.87/31.91  | | 
% 194.87/31.91  | | Case 1:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (22)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.87/31.91  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.87/31.91  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 194.87/31.91  | | | 
% 194.87/31.91  | | | ALPHA: (22) implies:
% 194.87/31.91  | | |   (23)  op(e0, e2) = e0
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REF_CLOSE: (2), (11), (12), (23) are inconsistent by sub-proof #618.
% 194.87/31.91  | | | 
% 194.87/31.91  | | Case 2:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (24)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.87/31.91  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.87/31.91  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.87/31.91  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.87/31.91  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REF_CLOSE: (1), (2), (7), (8), (10), (24) are inconsistent by sub-proof
% 194.87/31.91  | | |            #563.
% 194.87/31.91  | | | 
% 194.87/31.91  | | End of split
% 194.87/31.91  | | 
% 194.87/31.91  | End of split
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #263 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)  all_54_4 = all_52_1
% 194.87/31.91    (2)  all_54_7 = all_52_13
% 194.87/31.91    (3)   ~ (all_52_1 = e0)
% 194.87/31.91    (4)   ~ (all_52_13 = e2)
% 194.87/31.91    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.91    (6)  op(e1, e0) = all_52_14
% 194.87/31.91    (7)   ~ (all_6_0 = e1)
% 194.87/31.91    (8)   ~ (all_8_0 = e2)
% 194.87/31.91    (9)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.87/31.91    (10)   ~ (all_52_1 = all_52_13)
% 194.87/31.91    (11)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.87/31.91    (12)   ~ (all_52_13 = all_52_14)
% 194.87/31.91    (13)  op(e1, e0) = e1
% 194.87/31.91    (14)  op(e2, e3) = all_8_0
% 194.87/31.91    (15)  op(e2, e3) = all_6_0
% 194.87/31.91    (16)   ~ (all_52_13 = e0)
% 194.87/31.91    (17)  op(e2, e3) = all_52_1
% 194.87/31.91  
% 194.87/31.91  Begin of proof
% 194.87/31.91  | 
% 194.87/31.91  | GROUND_INST: instantiating (5) with all_52_14, e1, e0, e1, simplifying with
% 194.87/31.91  |              (6), (13) gives:
% 194.87/31.91  |   (18)  all_52_14 = e1
% 194.87/31.91  | 
% 194.87/31.91  | GROUND_INST: instantiating (5) with all_52_1, all_6_0, e3, e2, simplifying
% 194.87/31.91  |              with (15), (17) gives:
% 194.87/31.91  |   (19)  all_52_1 = all_6_0
% 194.87/31.91  | 
% 194.87/31.91  | GROUND_INST: instantiating (5) with all_52_1, all_8_0, e3, e2, simplifying
% 194.87/31.91  |              with (14), (17) gives:
% 194.87/31.91  |   (20)  all_52_1 = all_8_0
% 194.87/31.91  | 
% 194.87/31.91  | COMBINE_EQS: (19), (20) imply:
% 194.87/31.91  |   (21)  all_8_0 = all_6_0
% 194.87/31.91  | 
% 194.87/31.91  | SIMP: (21) implies:
% 194.87/31.91  |   (22)  all_8_0 = all_6_0
% 194.87/31.91  | 
% 194.87/31.91  | COMBINE_EQS: (1), (19) imply:
% 194.87/31.91  |   (23)  all_54_4 = all_6_0
% 194.87/31.91  | 
% 194.87/31.91  | REDUCE: (10), (19) imply:
% 194.87/31.91  |   (24)   ~ (all_52_13 = all_6_0)
% 194.87/31.91  | 
% 194.87/31.91  | SIMP: (24) implies:
% 194.87/31.91  |   (25)   ~ (all_52_13 = all_6_0)
% 194.87/31.91  | 
% 194.87/31.91  | REDUCE: (3), (19) imply:
% 194.87/31.91  |   (26)   ~ (all_6_0 = e0)
% 194.87/31.91  | 
% 194.87/31.91  | REDUCE: (12), (18) imply:
% 194.87/31.91  |   (27)   ~ (all_52_13 = e1)
% 194.87/31.91  | 
% 194.87/31.91  | REDUCE: (8), (22) imply:
% 194.87/31.91  |   (28)   ~ (all_6_0 = e2)
% 194.87/31.91  | 
% 194.87/31.91  | REF_CLOSE: (2), (4), (7), (9), (11), (16), (23), (25), (26), (27), (28) are
% 194.87/31.91  |            inconsistent by sub-proof #264.
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #264 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)  all_54_7 = all_52_13
% 194.87/31.91    (2)   ~ (all_6_0 = e2)
% 194.87/31.91    (3)   ~ (all_52_13 = e2)
% 194.87/31.91    (4)   ~ (all_52_13 = all_6_0)
% 194.87/31.91    (5)   ~ (all_6_0 = e1)
% 194.87/31.91    (6)   ~ (all_52_13 = e1)
% 194.87/31.91    (7)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.87/31.91    (8)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.87/31.91    (9)   ~ (all_52_13 = e0)
% 194.87/31.91    (10)   ~ (all_6_0 = e0)
% 194.87/31.91    (11)  all_54_4 = all_6_0
% 194.87/31.91  
% 194.87/31.91  Begin of proof
% 194.87/31.91  | 
% 194.87/31.91  | BETA: splitting (8) gives:
% 194.87/31.91  | 
% 194.87/31.91  | Case 1:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (12)  all_54_4 = e3
% 194.87/31.91  | | 
% 194.87/31.91  | | COMBINE_EQS: (11), (12) imply:
% 194.87/31.91  | |   (13)  all_6_0 = e3
% 194.87/31.91  | | 
% 194.87/31.91  | | REDUCE: (4), (13) imply:
% 194.87/31.91  | |   (14)   ~ (all_52_13 = e3)
% 194.87/31.91  | | 
% 194.87/31.91  | | REF_CLOSE: (1), (3), (6), (7), (9), (14) are inconsistent by sub-proof #440.
% 194.87/31.91  | | 
% 194.87/31.91  | Case 2:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (15)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.87/31.91  | | 
% 194.87/31.91  | | REF_CLOSE: (2), (5), (10), (11), (15) are inconsistent by sub-proof #265.
% 194.87/31.91  | | 
% 194.87/31.91  | End of split
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #265 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)   ~ (all_6_0 = e2)
% 194.87/31.91    (2)   ~ (all_6_0 = e1)
% 194.87/31.91    (3)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.87/31.91    (4)   ~ (all_6_0 = e0)
% 194.87/31.91    (5)  all_54_4 = all_6_0
% 194.87/31.91  
% 194.87/31.91  Begin of proof
% 194.87/31.91  | 
% 194.87/31.91  | BETA: splitting (3) gives:
% 194.87/31.91  | 
% 194.87/31.91  | Case 1:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (6)  all_54_4 = e2
% 194.87/31.91  | | 
% 194.87/31.91  | | COMBINE_EQS: (5), (6) imply:
% 194.87/31.91  | |   (7)  all_6_0 = e2
% 194.87/31.91  | | 
% 194.87/31.91  | | SIMP: (7) implies:
% 194.87/31.91  | |   (8)  all_6_0 = e2
% 194.87/31.91  | | 
% 194.87/31.91  | | REDUCE: (1), (8) imply:
% 194.87/31.91  | |   (9)  $false
% 194.87/31.91  | | 
% 194.87/31.91  | | CLOSE: (9) is inconsistent.
% 194.87/31.91  | | 
% 194.87/31.91  | Case 2:
% 194.87/31.91  | | 
% 194.87/31.91  | |   (10)  all_54_4 = e1 | all_54_4 = e0
% 194.87/31.91  | | 
% 194.87/31.91  | | BETA: splitting (10) gives:
% 194.87/31.91  | | 
% 194.87/31.91  | | Case 1:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (11)  all_54_4 = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | COMBINE_EQS: (5), (11) imply:
% 194.87/31.91  | | |   (12)  all_6_0 = e1
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REDUCE: (2), (12) imply:
% 194.87/31.91  | | |   (13)  $false
% 194.87/31.91  | | | 
% 194.87/31.91  | | | CLOSE: (13) is inconsistent.
% 194.87/31.91  | | | 
% 194.87/31.91  | | Case 2:
% 194.87/31.91  | | | 
% 194.87/31.91  | | |   (14)  all_54_4 = e0
% 194.87/31.91  | | | 
% 194.87/31.91  | | | COMBINE_EQS: (5), (14) imply:
% 194.87/31.91  | | |   (15)  all_6_0 = e0
% 194.87/31.91  | | | 
% 194.87/31.91  | | | REDUCE: (4), (15) imply:
% 194.87/31.91  | | |   (16)  $false
% 194.87/31.91  | | | 
% 194.87/31.91  | | | CLOSE: (16) is inconsistent.
% 194.87/31.91  | | | 
% 194.87/31.91  | | End of split
% 194.87/31.91  | | 
% 194.87/31.91  | End of split
% 194.87/31.91  | 
% 194.87/31.91  End of proof
% 194.87/31.91  
% 194.87/31.91  Sub-proof #266 shows that the following formulas are inconsistent:
% 194.87/31.91  ----------------------------------------------------------------
% 194.87/31.91    (1)   ~ (all_52_4 = e3)
% 194.87/31.91    (2)  op(e3, e3) = e0
% 194.87/31.91    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.91    (4)  op(e3, e2) = all_52_4
% 194.87/31.91    (5)  op(e2, e2) = all_4_2
% 194.87/31.91    (6)   ~ (all_4_2 = e3)
% 194.87/31.91    (7)  op(e1, e1) = e2
% 194.87/31.91    (8)   ~ (all_52_1 = e2)
% 194.87/31.91    (9)   ~ (e2 = e1)
% 194.87/31.91    (10)  op(e2, e2) = e2
% 194.87/31.91    (11)  op(e0, e0) = e0
% 194.87/31.91    (12)   ~ (e2 = e0)
% 194.87/31.91    (13)  op(e2, e3) = all_52_1
% 194.87/31.91    (14)   ~ (e3 = e0)
% 194.87/31.91    (15)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.87/31.91              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.87/31.91            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.87/31.91            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.87/31.91            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.87/31.91            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.87/31.91            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.87/31.91            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.87/31.92            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.87/31.92            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.87/31.92            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.87/31.92            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.87/31.92            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.87/31.92            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.87/31.92            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.87/31.92            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.87/31.92            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.87/31.92            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.87/31.92            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.87/31.92            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.87/31.92            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.87/31.92            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.87/31.92            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.87/31.92            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.87/31.92            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.87/31.92            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.87/31.92            $i(all_57_10))
% 194.87/31.92  
% 194.87/31.92  Begin of proof
% 194.87/31.92  | 
% 194.87/31.92  | BETA: splitting (15) gives:
% 194.87/31.92  | 
% 194.87/31.92  | Case 1:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (16)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 194.87/31.92  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.87/31.92  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 194.87/31.92  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 194.87/31.92  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.87/31.92  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 194.87/31.92  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 194.87/31.92  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 194.87/31.92  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 194.87/31.92  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 194.87/31.92  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.87/31.92  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.87/31.92  | | 
% 194.87/31.92  | | BETA: splitting (16) gives:
% 194.87/31.92  | | 
% 194.87/31.92  | | Case 1:
% 194.87/31.92  | | | 
% 194.87/31.92  | | |   (17)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.87/31.92  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.87/31.92  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 194.87/31.92  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 194.87/31.92  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 194.87/31.92  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.87/31.92  | | |           $i(all_57_2) & $i(all_57_12))
% 194.87/31.92  | | | 
% 194.87/31.92  | | | REF_CLOSE: (3), (8), (13), (17) are inconsistent by sub-proof #1784.
% 194.87/31.92  | | | 
% 194.87/31.92  | | Case 2:
% 194.87/31.92  | | | 
% 194.87/31.92  | | |   (18)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.87/31.92  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.87/31.92  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.87/31.92  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 194.87/31.92  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 194.87/31.92  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.87/31.92  | | |           $i(all_57_2) & $i(all_57_14))
% 194.87/31.92  | | | 
% 194.87/31.92  | | | REF_CLOSE: (3), (5), (6), (11), (14), (18) are inconsistent by sub-proof
% 194.87/31.92  | | |            #546.
% 194.87/31.92  | | | 
% 194.87/31.92  | | End of split
% 194.87/31.92  | | 
% 194.87/31.92  | Case 2:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (19)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.87/31.92  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.87/31.92  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.87/31.92  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.87/31.92  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.87/31.92  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 194.87/31.92  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.87/31.92  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 194.87/31.92  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.87/31.92  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.87/31.92  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.87/31.92  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.87/31.92  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.87/31.92  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.87/31.92  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.87/31.92  | | 
% 194.87/31.92  | | BETA: splitting (19) gives:
% 194.87/31.92  | | 
% 194.87/31.92  | | Case 1:
% 194.87/31.92  | | | 
% 194.87/31.92  | | |   (20)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.87/31.92  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.87/31.92  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.87/31.92  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 194.87/31.92  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 194.87/31.92  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.87/31.92  | | |           $i(all_57_5) & $i(all_57_10))
% 194.87/31.92  | | | 
% 194.87/31.92  | | | REF_CLOSE: (1), (3), (4), (20) are inconsistent by sub-proof #1971.
% 194.87/31.92  | | | 
% 194.87/31.92  | | Case 2:
% 194.87/31.92  | | | 
% 194.87/31.92  | | |   (21)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.87/31.92  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.87/31.92  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.87/31.92  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 194.87/31.92  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 194.87/31.92  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.87/31.92  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 194.87/31.92  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.87/31.92  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.87/31.92  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.87/31.92  | | | 
% 194.87/31.92  | | | BETA: splitting (21) gives:
% 194.87/31.92  | | | 
% 194.87/31.92  | | | Case 1:
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | |   (22)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.87/31.92  | | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.87/31.92  | | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.87/31.92  | | | |         $i(all_57_14)
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | | ALPHA: (22) implies:
% 194.87/31.92  | | | |   (23)  op(e3, e3) = e2
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | | REF_CLOSE: (2), (3), (12), (23) are inconsistent by sub-proof #833.
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | Case 2:
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | |   (24)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.87/31.92  | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.87/31.92  | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.87/31.92  | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 194.87/31.92  | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 194.87/31.92  | | | |           & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.87/31.92  | | | |           $i(all_57_7) & $i(all_57_10))
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | | REF_CLOSE: (3), (7), (9), (10), (24) are inconsistent by sub-proof #430.
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | End of split
% 194.87/31.92  | | | 
% 194.87/31.92  | | End of split
% 194.87/31.92  | | 
% 194.87/31.92  | End of split
% 194.87/31.92  | 
% 194.87/31.92  End of proof
% 194.87/31.92  
% 194.87/31.92  Sub-proof #267 shows that the following formulas are inconsistent:
% 194.87/31.92  ----------------------------------------------------------------
% 194.87/31.92    (1)  all_54_14 = all_10_0
% 194.87/31.92    (2)  all_54_14 = e2
% 194.87/31.92    (3)   ~ (all_10_0 = e2)
% 194.87/31.92  
% 194.87/31.92  Begin of proof
% 194.87/31.92  | 
% 194.87/31.92  | COMBINE_EQS: (1), (2) imply:
% 194.87/31.92  |   (4)  all_10_0 = e2
% 194.87/31.92  | 
% 194.87/31.92  | SIMP: (4) implies:
% 194.87/31.92  |   (5)  all_10_0 = e2
% 194.87/31.92  | 
% 194.87/31.92  | REDUCE: (3), (5) imply:
% 194.87/31.92  |   (6)  $false
% 194.87/31.92  | 
% 194.87/31.92  | CLOSE: (6) is inconsistent.
% 194.87/31.92  | 
% 194.87/31.92  End of proof
% 194.87/31.92  
% 194.87/31.92  Sub-proof #268 shows that the following formulas are inconsistent:
% 194.87/31.92  ----------------------------------------------------------------
% 194.87/31.92    (1)  all_54_14 = all_10_0
% 194.87/31.92    (2)  all_54_14 = e3
% 194.87/31.92    (3)   ~ (all_10_0 = e3)
% 194.87/31.92  
% 194.87/31.92  Begin of proof
% 194.87/31.92  | 
% 194.87/31.92  | COMBINE_EQS: (1), (2) imply:
% 194.87/31.92  |   (4)  all_10_0 = e3
% 194.87/31.92  | 
% 194.87/31.92  | SIMP: (4) implies:
% 194.87/31.92  |   (5)  all_10_0 = e3
% 194.87/31.92  | 
% 194.87/31.92  | REDUCE: (3), (5) imply:
% 194.87/31.92  |   (6)  $false
% 194.87/31.92  | 
% 194.87/31.92  | CLOSE: (6) is inconsistent.
% 194.87/31.92  | 
% 194.87/31.92  End of proof
% 194.87/31.92  
% 194.87/31.92  Sub-proof #269 shows that the following formulas are inconsistent:
% 194.87/31.92  ----------------------------------------------------------------
% 194.87/31.92    (1)  op(e3, e3) = e0
% 194.87/31.92    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.92    (3)  op(e3, e2) = all_52_4
% 194.87/31.92    (4)   ~ (all_52_4 = e2)
% 194.87/31.92    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 194.87/31.92    (6)   ~ (e2 = e0)
% 194.87/31.92  
% 194.87/31.92  Begin of proof
% 194.87/31.92  | 
% 194.87/31.92  | BETA: splitting (5) gives:
% 194.87/31.92  | 
% 194.87/31.92  | Case 1:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 194.87/31.92  | | 
% 194.87/31.92  | | ALPHA: (7) implies:
% 194.87/31.92  | |   (8)  op(e3, e3) = e2
% 194.87/31.92  | | 
% 194.87/31.92  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #833.
% 194.87/31.92  | | 
% 194.87/31.92  | Case 2:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 194.87/31.92  | | 
% 194.87/31.92  | | ALPHA: (9) implies:
% 194.87/31.92  | |   (10)  op(e3, e2) = e2
% 194.87/31.92  | | 
% 194.87/31.92  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #825.
% 194.87/31.92  | | 
% 194.87/31.92  | End of split
% 194.87/31.92  | 
% 194.87/31.92  End of proof
% 194.87/31.92  
% 194.87/31.92  Sub-proof #270 shows that the following formulas are inconsistent:
% 194.87/31.92  ----------------------------------------------------------------
% 194.87/31.92    (1)  op(e3, e3) = e0
% 194.87/31.92    (2)  op(e0, e0) = e1
% 194.87/31.92    (3)   ~ (e3 = e2)
% 194.87/31.92    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.92    (5)  op(e2, e2) = e1
% 194.87/31.92    (6)  op(e0, e3) = all_52_3
% 194.87/31.92    (7)  op(e1, e0) = all_52_14
% 194.87/31.92    (8)   ~ (all_52_14 = e1)
% 194.87/31.92    (9)   ~ (e1 = e0)
% 194.87/31.92    (10)   ~ (all_52_3 = e0)
% 194.87/31.92    (11)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 =
% 194.87/31.92              e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.87/31.92            op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 =
% 194.87/31.92            e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.87/31.92            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.87/31.92            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.87/31.92            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 194.87/31.92                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.87/31.92                op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 194.87/31.92                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.87/31.92                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.87/31.92                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.87/31.92                  e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.87/31.92                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 194.87/31.92                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 194.87/31.92                  e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.87/31.92                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 194.87/31.92                  e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.87/31.92                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.87/31.92                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 194.87/31.92                  e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.87/31.92                $i(all_57_7))))
% 194.87/31.92    (12)   ~ (e3 = e1)
% 194.87/31.92    (13)  op(e1, e1) = e3
% 194.87/31.92    (14)   ~ (e2 = e0)
% 194.87/31.92    (15)   ~ (e3 = e0)
% 194.87/31.92  
% 194.87/31.92  Begin of proof
% 194.87/31.92  | 
% 194.87/31.92  | BETA: splitting (11) gives:
% 194.87/31.92  | 
% 194.87/31.92  | Case 1:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (16)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 194.87/31.92  | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1,
% 194.87/31.92  | |           e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)
% 194.87/31.92  | | 
% 194.87/31.92  | | ALPHA: (16) implies:
% 194.87/31.92  | |   (17)  op(e1, e1) = e0
% 194.87/31.92  | | 
% 194.87/31.92  | | REF_CLOSE: (4), (13), (15), (17) are inconsistent by sub-proof #1824.
% 194.87/31.92  | | 
% 194.87/31.92  | Case 2:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (18)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.87/31.92  | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.87/31.92  | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.87/31.92  | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.87/31.92  | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.87/31.92  | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.87/31.92  | |               op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.87/31.92  | |               e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.87/31.92  | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.87/31.92  | |             (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.87/31.92  | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.87/31.92  | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.87/31.92  | |               e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.87/31.92  | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.87/31.92  | |             (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.87/31.92  | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.87/31.92  | |               op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.87/31.92  | |               e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.87/31.92  | |               e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.87/31.92  | | 
% 194.87/31.92  | | BETA: splitting (18) gives:
% 194.87/31.92  | | 
% 194.87/31.92  | | Case 1:
% 194.87/31.92  | | | 
% 194.87/31.92  | | |   (19)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.87/31.92  | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.87/31.92  | | |         op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.87/31.92  | | |         $i(all_57_14)
% 194.87/31.92  | | | 
% 194.87/31.92  | | | ALPHA: (19) implies:
% 194.87/31.92  | | |   (20)  op(e1, e0) = e1
% 194.87/31.92  | | | 
% 194.87/31.92  | | | REF_CLOSE: (4), (7), (8), (20) are inconsistent by sub-proof #1958.
% 194.87/31.92  | | | 
% 194.87/31.92  | | Case 2:
% 194.87/31.92  | | | 
% 194.87/31.92  | | |   (21)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.87/31.92  | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.87/31.92  | | |             op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.87/31.92  | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1
% 194.87/31.92  | | |               = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 194.87/31.92  | | |               e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 194.87/31.92  | | |             & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.87/31.92  | | |             op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.87/31.92  | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.87/31.92  | | |               = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1,
% 194.87/31.92  | | |               e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0
% 194.87/31.92  | | |             & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.87/31.92  | | |             op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.87/31.92  | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.87/31.92  | | |               = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.87/31.92  | | |             all_57_7 & op(e0, e1) = e0 & $i(all_57_7)))
% 194.87/31.92  | | | 
% 194.87/31.92  | | | ALPHA: (21) implies:
% 194.87/31.92  | | |   (22)  op(e0, e0) = all_57_15
% 194.87/31.92  | | |   (23)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.87/31.92  | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.87/31.92  | | |           op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.87/31.92  | | |           e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.87/31.92  | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.87/31.92  | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.87/31.92  | | |           (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.87/31.92  | | |           op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.87/31.92  | | |           e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.87/31.92  | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.87/31.92  | | |         (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.87/31.92  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.87/31.92  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.87/31.92  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.87/31.92  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.87/31.92  | | | 
% 194.87/31.92  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (12), (13), (14),
% 194.87/31.92  | | |            (22), (23) are inconsistent by sub-proof #277.
% 194.87/31.92  | | | 
% 194.87/31.92  | | End of split
% 194.87/31.92  | | 
% 194.87/31.92  | End of split
% 194.87/31.92  | 
% 194.87/31.92  End of proof
% 194.87/31.92  
% 194.87/31.92  Sub-proof #271 shows that the following formulas are inconsistent:
% 194.87/31.92  ----------------------------------------------------------------
% 194.87/31.92    (1)  op(e3, e3) = e0
% 194.87/31.92    (2)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 194.87/31.92         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 194.87/31.92    (3)  op(e1, e3) = all_52_2
% 194.87/31.92    (4)  all_54_4 = all_52_1
% 194.87/31.92    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.87/31.92         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.87/31.92    (6)   ~ (all_52_1 = e0)
% 194.87/31.92    (7)   ~ (all_52_11 = e1)
% 194.87/31.92    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.87/31.92         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.87/31.92    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 194.87/31.92         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 194.87/31.92    (10)  op(e0, e0) = e1
% 194.87/31.92    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.87/31.92          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.87/31.92    (12)   ~ (all_52_2 = e0)
% 194.87/31.92    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.87/31.92          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.87/31.92    (14)   ~ (e3 = e2)
% 194.87/31.92    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.92            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.92    (16)  op(e3, e0) = all_57_9
% 194.87/31.92    (17)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.87/31.92          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.87/31.92    (18)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.87/31.92          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.87/31.92    (19)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.87/31.92          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 194.87/31.92            e1)
% 194.87/31.92    (20)   ~ (all_52_8 = e3)
% 194.87/31.92    (21)   ~ (all_52_12 = e2)
% 194.87/31.92    (22)  all_56_4 = e1
% 194.87/31.92    (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.87/31.92          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.87/31.92    (24)   ~ (all_52_9 = e2)
% 194.87/31.92    (25)  op(e0, e1) = all_52_11
% 194.87/31.92    (26)   ~ (all_52_12 = e3)
% 194.87/31.92    (27)  all_20_1 = e1
% 194.87/31.92    (28)  op(e1, e3) = all_30_1
% 194.87/31.92    (29)   ~ (all_52_1 = e1)
% 194.87/31.92    (30)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.87/31.92          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.87/31.92    (31)   ~ (e1 = e0)
% 194.87/31.92    (32)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.87/31.92    (33)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 194.87/31.92          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 194.87/31.92    (34)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.87/31.92          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.87/31.92    (35)   ~ (all_52_1 = e2)
% 194.87/31.92    (36)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.87/31.92              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.87/31.92                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.87/31.92                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.87/31.92    (37)   ~ (e2 = e1)
% 194.87/31.92    (38)   ~ (all_52_12 = e1)
% 194.87/31.92    (39)  all_57_9 = all_52_12
% 194.87/31.92    (40)  op(e2, e1) = all_52_9
% 194.87/31.92    (41)  op(e1, e3) = all_20_1
% 194.87/31.92    (42)   ~ (all_52_1 = all_52_2)
% 194.87/31.92    (43)  op(e3, e1) = e1
% 194.87/31.92    (44)  op(e3, e1) = all_52_8
% 194.87/31.92    (45)   ~ (e3 = e1)
% 194.87/31.92    (46)  op(e1, e1) = e3
% 194.87/31.92    (47)   ~ (e2 = e0)
% 194.87/31.92    (48)  op(e2, e3) = all_52_1
% 194.87/31.92    (49)   ~ (e3 = e0)
% 194.87/31.92  
% 194.87/31.92  Begin of proof
% 194.87/31.92  | 
% 194.87/31.92  | REDUCE: (16), (39) imply:
% 194.87/31.92  |   (50)  op(e3, e0) = all_52_12
% 194.87/31.92  | 
% 194.87/31.92  | REDUCE: (27), (41) imply:
% 194.87/31.92  |   (51)  op(e1, e3) = e1
% 194.87/31.92  | 
% 194.87/31.92  | BETA: splitting (5) gives:
% 194.87/31.92  | 
% 194.87/31.92  | Case 1:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (52)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 194.87/31.92  | |           e2)
% 194.87/31.92  | | 
% 194.87/31.92  | | REF_CLOSE: (1), (15), (35), (47), (48), (52) are inconsistent by sub-proof
% 194.87/31.92  | |            #349.
% 194.87/31.92  | | 
% 194.87/31.92  | Case 2:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (53)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 194.87/31.92  | |           e2)
% 194.87/31.92  | | 
% 194.87/31.92  | | BETA: splitting (53) gives:
% 194.87/31.92  | | 
% 194.87/31.92  | | Case 1:
% 194.87/31.92  | | | 
% 194.87/31.92  | | |   (54)  all_56_6 = e2 & op(e1, e3) = e2
% 194.87/31.92  | | | 
% 194.87/31.92  | | | ALPHA: (54) implies:
% 194.87/31.92  | | |   (55)  op(e1, e3) = e2
% 194.87/31.92  | | | 
% 194.87/31.92  | | | REF_CLOSE: (15), (28), (37), (41), (51), (55) are inconsistent by
% 194.87/31.92  | | |            sub-proof #290.
% 194.87/31.92  | | | 
% 194.87/31.92  | | Case 2:
% 194.87/31.92  | | | 
% 194.87/31.92  | | |   (56)  all_56_12 = e2 & op(e0, e3) = e2
% 194.87/31.92  | | | 
% 194.87/31.92  | | | ALPHA: (56) implies:
% 194.87/31.92  | | |   (57)  all_56_12 = e2
% 194.87/31.92  | | | 
% 194.87/31.92  | | | BETA: splitting (34) gives:
% 194.87/31.92  | | | 
% 194.87/31.92  | | | Case 1:
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | |   (58)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3)
% 194.87/31.92  | | | |           = e3)
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | | BETA: splitting (58) gives:
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | | Case 1:
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | |   (59)  all_56_0 = e3 & op(e3, e3) = e3
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | | ALPHA: (59) implies:
% 194.87/31.92  | | | | |   (60)  op(e3, e3) = e3
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | | REF_CLOSE: (1), (15), (49), (60) are inconsistent by sub-proof #1961.
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | Case 2:
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | |   (61)  all_56_2 = e3 & op(e2, e3) = e3
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | | ALPHA: (61) implies:
% 194.87/31.92  | | | | |   (62)  all_56_2 = e3
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | | BETA: splitting (23) gives:
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | | Case 1:
% 194.87/31.92  | | | | | | 
% 194.87/31.92  | | | | | |   (63)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3,
% 194.87/31.92  | | | | | |             e2) = e2)
% 194.87/31.92  | | | | | | 
% 194.87/31.92  | | | | | | BETA: splitting (63) gives:
% 194.87/31.92  | | | | | | 
% 194.87/31.92  | | | | | | Case 1:
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | |   (64)  all_56_0 = e2 & op(e3, e3) = e2
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | | ALPHA: (64) implies:
% 194.87/31.92  | | | | | | |   (65)  all_56_0 = e2
% 194.87/31.92  | | | | | | |   (66)  op(e3, e3) = e2
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | | REF_CLOSE: (2), (7), (8), (9), (10), (14), (15), (17), (18), (19),
% 194.87/31.92  | | | | | | |            (20), (24), (25), (30), (31), (33), (36), (37), (38),
% 194.87/31.92  | | | | | | |            (40), (44), (45), (46), (47), (49), (50), (57), (65),
% 194.87/31.92  | | | | | | |            (66) are inconsistent by sub-proof #570.
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | Case 2:
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | |   (67)  all_56_1 = e2 & op(e3, e2) = e2
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | | ALPHA: (67) implies:
% 194.87/31.92  | | | | | | |   (68)  op(e3, e2) = e2
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | | REF_CLOSE: (3), (5), (11), (12), (13), (14), (15), (26), (31),
% 194.87/31.92  | | | | | | |            (33), (37), (43), (45), (47), (49), (50), (62), (68)
% 194.87/31.92  | | | | | | |            are inconsistent by sub-proof #272.
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | End of split
% 194.87/31.92  | | | | | | 
% 194.87/31.92  | | | | | Case 2:
% 194.87/31.92  | | | | | | 
% 194.87/31.92  | | | | | |   (69)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3,
% 194.87/31.92  | | | | | |             e0) = e2)
% 194.87/31.92  | | | | | | 
% 194.87/31.92  | | | | | | BETA: splitting (69) gives:
% 194.87/31.92  | | | | | | 
% 194.87/31.92  | | | | | | Case 1:
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | |   (70)  all_56_4 = e2 & op(e3, e1) = e2
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | | ALPHA: (70) implies:
% 194.87/31.92  | | | | | | |   (71)  all_56_4 = e2
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | | REF_CLOSE: (22), (37), (71) are inconsistent by sub-proof #1751.
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | Case 2:
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | |   (72)  all_56_9 = e2 & op(e3, e0) = e2
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | | REF_CLOSE: (15), (21), (50), (72) are inconsistent by sub-proof
% 194.87/31.92  | | | | | | |            #737.
% 194.87/31.92  | | | | | | | 
% 194.87/31.92  | | | | | | End of split
% 194.87/31.92  | | | | | | 
% 194.87/31.92  | | | | | End of split
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | End of split
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | Case 2:
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | |   (73)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3)
% 194.87/31.92  | | | |           = e3)
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | | BETA: splitting (73) gives:
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | | Case 1:
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | |   (74)  all_56_6 = e3 & op(e1, e3) = e3
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | | ALPHA: (74) implies:
% 194.87/31.92  | | | | |   (75)  op(e1, e3) = e3
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | | REF_CLOSE: (3), (4), (6), (15), (29), (32), (35), (42), (75) are
% 194.87/31.92  | | | | |            inconsistent by sub-proof #462.
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | Case 2:
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | |   (76)  all_56_12 = e3 & op(e0, e3) = e3
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | | REF_CLOSE: (14), (57), (76) are inconsistent by sub-proof #1226.
% 194.87/31.92  | | | | | 
% 194.87/31.92  | | | | End of split
% 194.87/31.92  | | | | 
% 194.87/31.92  | | | End of split
% 194.87/31.92  | | | 
% 194.87/31.92  | | End of split
% 194.87/31.92  | | 
% 194.87/31.92  | End of split
% 194.87/31.92  | 
% 194.87/31.92  End of proof
% 194.87/31.92  
% 194.87/31.92  Sub-proof #272 shows that the following formulas are inconsistent:
% 194.87/31.92  ----------------------------------------------------------------
% 194.87/31.92    (1)  op(e1, e3) = all_52_2
% 194.87/31.92    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.87/31.92         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.87/31.92    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.87/31.92         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.87/31.92    (4)   ~ (all_52_2 = e0)
% 194.87/31.92    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.87/31.92         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.87/31.92    (6)   ~ (e3 = e2)
% 194.87/31.92    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.92    (8)  op(e3, e2) = e2
% 194.87/31.92    (9)   ~ (all_52_12 = e3)
% 194.87/31.92    (10)  all_56_2 = e3
% 194.87/31.92    (11)   ~ (e1 = e0)
% 194.87/31.92    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 194.87/31.92          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 194.87/31.92    (13)   ~ (e2 = e1)
% 194.87/31.92    (14)  op(e3, e0) = all_52_12
% 194.87/31.92    (15)  op(e3, e1) = e1
% 194.87/31.92    (16)   ~ (e3 = e1)
% 194.87/31.92    (17)   ~ (e2 = e0)
% 194.87/31.92    (18)   ~ (e3 = e0)
% 194.87/31.92  
% 194.87/31.92  Begin of proof
% 194.87/31.92  | 
% 194.87/31.92  | BETA: splitting (12) gives:
% 194.87/31.92  | 
% 194.87/31.92  | Case 1:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (19)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 194.87/31.92  | |           e3)
% 194.87/31.92  | | 
% 194.87/31.92  | | BETA: splitting (19) gives:
% 194.87/31.92  | | 
% 194.87/31.92  | | Case 1:
% 194.87/31.92  | | | 
% 194.87/31.92  | | |   (20)  all_56_0 = e3 & op(e3, e3) = e3
% 194.87/31.92  | | | 
% 194.87/31.92  | | | ALPHA: (20) implies:
% 194.87/31.92  | | |   (21)  op(e3, e3) = e3
% 194.87/31.92  | | | 
% 194.87/31.92  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (11), (13), (16),
% 194.87/31.92  | | |            (17), (18), (21) are inconsistent by sub-proof #1720.
% 194.87/31.92  | | | 
% 194.87/31.92  | | Case 2:
% 194.87/31.92  | | | 
% 194.87/31.92  | | |   (22)  all_56_1 = e3 & op(e3, e2) = e3
% 194.87/31.92  | | | 
% 194.87/31.92  | | | ALPHA: (22) implies:
% 194.87/31.92  | | |   (23)  op(e3, e2) = e3
% 194.87/31.92  | | | 
% 194.87/31.92  | | | REF_CLOSE: (6), (7), (8), (23) are inconsistent by sub-proof #1927.
% 194.87/31.92  | | | 
% 194.87/31.92  | | End of split
% 194.87/31.92  | | 
% 194.87/31.92  | Case 2:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (24)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 194.87/31.92  | |           e3)
% 194.87/31.92  | | 
% 194.87/31.92  | | REF_CLOSE: (7), (9), (14), (15), (16), (24) are inconsistent by sub-proof
% 194.87/31.92  | |            #273.
% 194.87/31.92  | | 
% 194.87/31.92  | End of split
% 194.87/31.92  | 
% 194.87/31.92  End of proof
% 194.87/31.92  
% 194.87/31.92  Sub-proof #273 shows that the following formulas are inconsistent:
% 194.87/31.92  ----------------------------------------------------------------
% 194.87/31.92    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.92    (2)   ~ (all_52_12 = e3)
% 194.87/31.92    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 194.87/31.92    (4)  op(e3, e0) = all_52_12
% 194.87/31.92    (5)  op(e3, e1) = e1
% 194.87/31.92    (6)   ~ (e3 = e1)
% 194.87/31.92  
% 194.87/31.92  Begin of proof
% 194.87/31.92  | 
% 194.87/31.92  | BETA: splitting (3) gives:
% 194.87/31.92  | 
% 194.87/31.92  | Case 1:
% 194.87/31.92  | | 
% 194.87/31.92  | |   (7)  all_56_4 = e3 & op(e3, e1) = e3
% 194.87/31.92  | | 
% 194.87/31.92  | | ALPHA: (7) implies:
% 194.87/31.93  | |   (8)  op(e3, e1) = e3
% 194.87/31.93  | | 
% 194.87/31.93  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1624.
% 194.87/31.93  | | 
% 194.87/31.93  | Case 2:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (9)  all_56_9 = e3 & op(e3, e0) = e3
% 194.87/31.93  | | 
% 194.87/31.93  | | ALPHA: (9) implies:
% 194.87/31.93  | |   (10)  op(e3, e0) = e3
% 194.87/31.93  | | 
% 194.87/31.93  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1964.
% 194.87/31.93  | | 
% 194.87/31.93  | End of split
% 194.87/31.93  | 
% 194.87/31.93  End of proof
% 194.87/31.93  
% 194.87/31.93  Sub-proof #274 shows that the following formulas are inconsistent:
% 194.87/31.93  ----------------------------------------------------------------
% 194.87/31.93    (1)  op(e1, e2) = all_52_6
% 194.87/31.93    (2)  op(e0, e0) = e1
% 194.87/31.93    (3)   ~ (e3 = e2)
% 194.87/31.93    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.93    (5)  op(e2, e2) = e1
% 194.87/31.93    (6)  op(e1, e3) = e1
% 194.87/31.93    (7)   ~ (e2 = e1)
% 194.87/31.93    (8)  op(e3, e1) = e1
% 194.87/31.93    (9)   ~ (e3 = e1)
% 194.87/31.93    (10)   ~ (all_52_6 = e1)
% 194.87/31.93    (11)  op(e1, e1) = e3
% 194.87/31.93    (12)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.87/31.93              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.87/31.93            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.87/31.93            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.87/31.93            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.87/31.93            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.87/31.93            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.87/31.93            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.87/31.93            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.87/31.93            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.87/31.93            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.87/31.93            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.87/31.93            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.87/31.93            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.87/31.93            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.87/31.93            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.87/31.93            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.87/31.93            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.87/31.93            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.87/31.93            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.87/31.93            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.87/31.93            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.87/31.93            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.87/31.93            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.87/31.93            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.87/31.93            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.87/31.93            $i(all_57_10))
% 194.87/31.93  
% 194.87/31.93  Begin of proof
% 194.87/31.93  | 
% 194.87/31.93  | BETA: splitting (12) gives:
% 194.87/31.93  | 
% 194.87/31.93  | Case 1:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (13)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 194.87/31.93  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.87/31.93  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 194.87/31.93  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 194.87/31.93  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.87/31.93  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 194.87/31.93  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 194.87/31.93  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 194.87/31.93  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 194.87/31.93  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 194.87/31.93  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 194.87/31.93  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 194.87/31.93  | | 
% 194.87/31.93  | | BETA: splitting (13) gives:
% 194.87/31.93  | | 
% 194.87/31.93  | | Case 1:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (14)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.87/31.93  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 194.87/31.93  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 194.87/31.93  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 194.87/31.93  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 194.87/31.93  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.87/31.93  | | |           $i(all_57_2) & $i(all_57_12))
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (2), (4), (6), (9), (14) are inconsistent by sub-proof #894.
% 194.87/31.93  | | | 
% 194.87/31.93  | | Case 2:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (15)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.87/31.93  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.87/31.93  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.87/31.93  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 194.87/31.93  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 194.87/31.93  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.87/31.93  | | |           $i(all_57_2) & $i(all_57_14))
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (4), (5), (9), (11), (15) are inconsistent by sub-proof #683.
% 194.87/31.93  | | | 
% 194.87/31.93  | | End of split
% 194.87/31.93  | | 
% 194.87/31.93  | Case 2:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (16)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.87/31.93  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.87/31.93  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.87/31.93  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.87/31.93  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.87/31.93  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 194.87/31.93  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.87/31.93  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 194.87/31.93  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.87/31.93  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.87/31.93  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.87/31.93  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.87/31.93  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.87/31.93  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.87/31.93  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.87/31.93  | | 
% 194.87/31.93  | | BETA: splitting (16) gives:
% 194.87/31.93  | | 
% 194.87/31.93  | | Case 1:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (17)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.87/31.93  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.87/31.93  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.87/31.93  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 194.87/31.93  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 194.87/31.93  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.87/31.93  | | |           $i(all_57_5) & $i(all_57_10))
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (2), (3), (4), (7), (11), (17) are inconsistent by sub-proof
% 194.87/31.93  | | |            #882.
% 194.87/31.93  | | | 
% 194.87/31.93  | | Case 2:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (18)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.87/31.93  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.87/31.93  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.87/31.93  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 194.87/31.93  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 194.87/31.93  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.87/31.93  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 194.87/31.93  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.87/31.93  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.87/31.93  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (1), (4), (8), (9), (10), (18) are inconsistent by sub-proof
% 194.87/31.93  | | |            #1140.
% 194.87/31.93  | | | 
% 194.87/31.93  | | End of split
% 194.87/31.93  | | 
% 194.87/31.93  | End of split
% 194.87/31.93  | 
% 194.87/31.93  End of proof
% 194.87/31.93  
% 194.87/31.93  Sub-proof #275 shows that the following formulas are inconsistent:
% 194.87/31.93  ----------------------------------------------------------------
% 194.87/31.93    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.87/31.93         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.87/31.93    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.87/31.93         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.87/31.93    (3)   ~ (e3 = e2)
% 194.87/31.93    (4)  all_56_12 = e3
% 194.87/31.93    (5)   ~ (e1 = e0)
% 194.87/31.93    (6)  all_56_2 = e1
% 194.87/31.93    (7)  all_56_6 = e1
% 194.87/31.93    (8)   ~ (e2 = e1)
% 194.87/31.93    (9)   ~ (e2 = e0)
% 194.87/31.93    (10)   ~ (e3 = e0)
% 194.87/31.93  
% 194.87/31.93  Begin of proof
% 194.87/31.93  | 
% 194.87/31.93  | BETA: splitting (1) gives:
% 194.87/31.93  | 
% 194.87/31.93  | Case 1:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 194.87/31.93  | |           e2)
% 194.87/31.93  | | 
% 194.87/31.93  | | BETA: splitting (11) gives:
% 194.87/31.93  | | 
% 194.87/31.93  | | Case 1:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (12)  all_56_0 = e2 & op(e3, e3) = e2
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (12) implies:
% 194.87/31.93  | | |   (13)  all_56_0 = e2
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (2), (4), (5), (6), (7), (9), (10), (13) are inconsistent by
% 194.87/31.93  | | |            sub-proof #689.
% 194.87/31.93  | | | 
% 194.87/31.93  | | Case 2:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (14)  all_56_2 = e2 & op(e2, e3) = e2
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (14) implies:
% 194.87/31.93  | | |   (15)  all_56_2 = e2
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (6), (8), (15) are inconsistent by sub-proof #1855.
% 194.87/31.93  | | | 
% 194.87/31.93  | | End of split
% 194.87/31.93  | | 
% 194.87/31.93  | Case 2:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (16)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 194.87/31.93  | |           e2)
% 194.87/31.93  | | 
% 194.87/31.93  | | BETA: splitting (16) gives:
% 194.87/31.93  | | 
% 194.87/31.93  | | Case 1:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (17)  all_56_6 = e2 & op(e1, e3) = e2
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (17) implies:
% 194.87/31.93  | | |   (18)  all_56_6 = e2
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (7), (8), (18) are inconsistent by sub-proof #1779.
% 194.87/31.93  | | | 
% 194.87/31.93  | | Case 2:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (19)  all_56_12 = e2 & op(e0, e3) = e2
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (3), (4), (19) are inconsistent by sub-proof #1848.
% 194.87/31.93  | | | 
% 194.87/31.93  | | End of split
% 194.87/31.93  | | 
% 194.87/31.93  | End of split
% 194.87/31.93  | 
% 194.87/31.93  End of proof
% 194.87/31.93  
% 194.87/31.93  Sub-proof #276 shows that the following formulas are inconsistent:
% 194.87/31.93  ----------------------------------------------------------------
% 194.87/31.93    (1)  op(e3, e3) = e0
% 194.87/31.93    (2)  op(e0, e0) = e1
% 194.87/31.93    (3)   ~ (e3 = e2)
% 194.87/31.93    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.93    (5)  op(e0, e3) = all_52_3
% 194.87/31.93    (6)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.87/31.93             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.87/31.93           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 194.87/31.93           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.87/31.93             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.87/31.93           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.87/31.93           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.87/31.93    (7)  op(e0, e0) = all_57_15
% 194.87/31.93    (8)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.87/31.93             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.87/31.93           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.87/31.93           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.87/31.93             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.87/31.93           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.87/31.93           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.87/31.93           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.87/31.93           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.87/31.93           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.87/31.93           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.87/31.93         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.87/31.93             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.87/31.93           $i(all_57_7))
% 194.87/31.93    (9)   ~ (e1 = e0)
% 194.87/31.93    (10)   ~ (all_52_3 = e0)
% 194.87/31.93    (11)   ~ (e3 = e1)
% 194.87/31.93    (12)  op(e1, e1) = e3
% 194.87/31.93    (13)   ~ (e2 = e0)
% 194.87/31.93  
% 194.87/31.93  Begin of proof
% 194.87/31.93  | 
% 194.87/31.93  | BETA: splitting (6) gives:
% 194.87/31.93  | 
% 194.87/31.93  | Case 1:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (14)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.87/31.93  | |           = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.87/31.93  | |         & $i(all_57_4)
% 194.87/31.93  | | 
% 194.87/31.93  | | ALPHA: (14) implies:
% 194.87/31.93  | |   (15)  op(e1, e1) = e2
% 194.87/31.93  | | 
% 194.87/31.93  | | REF_CLOSE: (3), (4), (12), (15) are inconsistent by sub-proof #1777.
% 194.87/31.93  | | 
% 194.87/31.93  | Case 2:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (16)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.87/31.93  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.87/31.93  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.87/31.93  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 194.87/31.93  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.87/31.93  | | 
% 194.87/31.93  | | BETA: splitting (16) gives:
% 194.87/31.93  | | 
% 194.87/31.93  | | Case 1:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (17)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.87/31.93  | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.87/31.93  | | |         op(e0, e1) = e0 & $i(all_57_6)
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (17) implies:
% 194.87/31.93  | | |   (18)  op(e3, e3) = e1
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (1), (4), (9), (18) are inconsistent by sub-proof #1937.
% 194.87/31.93  | | | 
% 194.87/31.93  | | Case 2:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (19)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.87/31.93  | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.87/31.93  | | |         op(e0, e1) = e0 & $i(all_57_7)
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (19) implies:
% 194.87/31.93  | | |   (20)  op(e2, e2) = e1
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 194.87/31.93  | | |            (20) are inconsistent by sub-proof #277.
% 194.87/31.93  | | | 
% 194.87/31.93  | | End of split
% 194.87/31.93  | | 
% 194.87/31.93  | End of split
% 194.87/31.93  | 
% 194.87/31.93  End of proof
% 194.87/31.93  
% 194.87/31.93  Sub-proof #277 shows that the following formulas are inconsistent:
% 194.87/31.93  ----------------------------------------------------------------
% 194.87/31.93    (1)  op(e3, e3) = e0
% 194.87/31.93    (2)  op(e0, e0) = e1
% 194.87/31.93    (3)   ~ (e3 = e2)
% 194.87/31.93    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.93    (5)  op(e2, e2) = e1
% 194.87/31.93    (6)  op(e0, e3) = all_52_3
% 194.87/31.93    (7)  op(e0, e0) = all_57_15
% 194.87/31.93    (8)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.87/31.93             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.87/31.93           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.87/31.93           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.87/31.93             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.87/31.93           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.87/31.93           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.87/31.93           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.87/31.93           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.87/31.93           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.87/31.93           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.87/31.93         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.87/31.93             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.87/31.93           $i(all_57_7))
% 194.87/31.93    (9)   ~ (e1 = e0)
% 194.87/31.93    (10)   ~ (all_52_3 = e0)
% 194.87/31.93    (11)   ~ (e3 = e1)
% 194.87/31.93    (12)  op(e1, e1) = e3
% 194.87/31.93    (13)   ~ (e2 = e0)
% 194.87/31.93  
% 194.87/31.93  Begin of proof
% 194.87/31.93  | 
% 194.87/31.93  | BETA: splitting (8) gives:
% 194.87/31.93  | 
% 194.87/31.93  | Case 1:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (14)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 194.87/31.93  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 194.87/31.93  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.87/31.93  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.87/31.93  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 194.87/31.93  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.87/31.93  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.87/31.93  | |           $i(all_57_3))
% 194.87/31.93  | | 
% 194.87/31.93  | | REF_CLOSE: (1), (4), (5), (6), (10), (11), (13), (14) are inconsistent by
% 194.87/31.93  | |            sub-proof #278.
% 194.87/31.93  | | 
% 194.87/31.93  | Case 2:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (15)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.87/31.93  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.87/31.93  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.87/31.93  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.87/31.93  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.87/31.93  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.87/31.93  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.87/31.93  | |           $i(all_57_7))
% 194.87/31.93  | | 
% 194.87/31.93  | | BETA: splitting (15) gives:
% 194.87/31.93  | | 
% 194.87/31.93  | | Case 1:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (16)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.87/31.93  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.87/31.93  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (16) implies:
% 194.87/31.93  | | |   (17)  op(e1, e1) = e2
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (3), (4), (12), (17) are inconsistent by sub-proof #1777.
% 194.87/31.93  | | | 
% 194.87/31.93  | | Case 2:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (18)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.87/31.93  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.87/31.93  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.87/31.93  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.87/31.93  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.87/31.93  | | | 
% 194.87/31.93  | | | BETA: splitting (18) gives:
% 194.87/31.93  | | | 
% 194.87/31.93  | | | Case 1:
% 194.87/31.93  | | | | 
% 194.87/31.93  | | | |   (19)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.87/31.93  | | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.87/31.93  | | | |         op(e0, e1) = e0 & $i(all_57_6)
% 194.87/31.93  | | | | 
% 194.87/31.93  | | | | ALPHA: (19) implies:
% 194.87/31.93  | | | |   (20)  op(e3, e3) = e1
% 194.87/31.93  | | | | 
% 194.87/31.93  | | | | REF_CLOSE: (1), (4), (9), (20) are inconsistent by sub-proof #1937.
% 194.87/31.93  | | | | 
% 194.87/31.93  | | | Case 2:
% 194.87/31.93  | | | | 
% 194.87/31.93  | | | |   (21)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.87/31.93  | | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.87/31.93  | | | |         op(e0, e1) = e0 & $i(all_57_7)
% 194.87/31.93  | | | | 
% 194.87/31.93  | | | | ALPHA: (21) implies:
% 194.87/31.93  | | | |   (22)   ~ (all_57_15 = e1)
% 194.87/31.93  | | | | 
% 194.87/31.93  | | | | REF_CLOSE: (2), (4), (7), (22) are inconsistent by sub-proof #499.
% 194.87/31.93  | | | | 
% 194.87/31.93  | | | End of split
% 194.87/31.93  | | | 
% 194.87/31.93  | | End of split
% 194.87/31.93  | | 
% 194.87/31.93  | End of split
% 194.87/31.93  | 
% 194.87/31.93  End of proof
% 194.87/31.93  
% 194.87/31.93  Sub-proof #278 shows that the following formulas are inconsistent:
% 194.87/31.93  ----------------------------------------------------------------
% 194.87/31.93    (1)  op(e3, e3) = e0
% 194.87/31.93    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.93    (3)  op(e2, e2) = e1
% 194.87/31.93    (4)  op(e0, e3) = all_52_3
% 194.87/31.93    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.87/31.93             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.87/31.93           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.87/31.93           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.87/31.93             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.87/31.93           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.87/31.93           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.87/31.93    (6)   ~ (all_52_3 = e0)
% 194.87/31.93    (7)   ~ (e3 = e1)
% 194.87/31.93    (8)   ~ (e2 = e0)
% 194.87/31.93  
% 194.87/31.93  Begin of proof
% 194.87/31.93  | 
% 194.87/31.93  | BETA: splitting (5) gives:
% 194.87/31.93  | 
% 194.87/31.93  | Case 1:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (9)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.87/31.93  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.87/31.93  | |        $i(all_57_0)
% 194.87/31.93  | | 
% 194.87/31.93  | | ALPHA: (9) implies:
% 194.87/31.93  | |   (10)  op(e2, e2) = e3
% 194.87/31.93  | | 
% 194.87/31.93  | | REF_CLOSE: (2), (3), (7), (10) are inconsistent by sub-proof #1679.
% 194.87/31.93  | | 
% 194.87/31.93  | Case 2:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (11)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 194.87/31.93  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 194.87/31.93  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.87/31.93  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.87/31.93  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.87/31.93  | | 
% 194.87/31.93  | | REF_CLOSE: (1), (2), (4), (6), (8), (11) are inconsistent by sub-proof #404.
% 194.87/31.93  | | 
% 194.87/31.93  | End of split
% 194.87/31.93  | 
% 194.87/31.93  End of proof
% 194.87/31.93  
% 194.87/31.93  Sub-proof #279 shows that the following formulas are inconsistent:
% 194.87/31.93  ----------------------------------------------------------------
% 194.87/31.93    (1)  op(e3, e3) = e0
% 194.87/31.93    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.87/31.93             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.87/31.93           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 194.87/31.93           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.87/31.93           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.87/31.93           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.87/31.93           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 194.87/31.93           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 194.87/31.93           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 194.87/31.93           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 194.87/31.93           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.87/31.93           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 194.87/31.93           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.87/31.93           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.87/31.93           $i(all_57_10) & $i(all_57_13))
% 194.87/31.93    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.93    (4)  op(e2, e2) = e1
% 194.87/31.93    (5)   ~ (e1 = e0)
% 194.87/31.93    (6)  op(e3, e1) = e1
% 194.87/31.93    (7)   ~ (e3 = e1)
% 194.87/31.93  
% 194.87/31.93  Begin of proof
% 194.87/31.93  | 
% 194.87/31.93  | BETA: splitting (2) gives:
% 194.87/31.93  | 
% 194.87/31.93  | Case 1:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (8)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 194.87/31.93  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.87/31.93  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 194.87/31.93  | |        (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 194.87/31.93  | |            = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.87/31.93  | |          all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 194.87/31.93  | | 
% 194.87/31.93  | | BETA: splitting (8) gives:
% 194.87/31.93  | | 
% 194.87/31.93  | | Case 1:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (9)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 194.87/31.93  | | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.87/31.93  | | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (9) implies:
% 194.87/31.93  | | |   (10)  op(e3, e1) = e3
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (3), (6), (7), (10) are inconsistent by sub-proof #1624.
% 194.87/31.93  | | | 
% 194.87/31.93  | | Case 2:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (11)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.87/31.93  | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.87/31.93  | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.87/31.93  | | |         $i(all_57_12)
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (11) implies:
% 194.87/31.93  | | |   (12)  op(e3, e3) = e1
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (1), (3), (5), (12) are inconsistent by sub-proof #1937.
% 194.87/31.93  | | | 
% 194.87/31.93  | | End of split
% 194.87/31.93  | | 
% 194.87/31.93  | Case 2:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (13)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.87/31.93  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.87/31.93  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.87/31.93  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.87/31.93  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.87/31.93  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.87/31.93  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 194.87/31.93  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 194.87/31.93  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.87/31.93  | |           $i(all_57_13))
% 194.87/31.93  | | 
% 194.87/31.93  | | BETA: splitting (13) gives:
% 194.87/31.93  | | 
% 194.87/31.93  | | Case 1:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (14)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.87/31.93  | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.87/31.93  | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.87/31.93  | | |         $i(all_57_12)
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (14) implies:
% 194.87/31.93  | | |   (15)   ~ (all_57_12 = e1)
% 194.87/31.93  | | |   (16)  op(e2, e2) = all_57_12
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (3), (4), (15), (16) are inconsistent by sub-proof #1890.
% 194.87/31.93  | | | 
% 194.87/31.93  | | Case 2:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (17)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.87/31.93  | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.87/31.93  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.87/31.93  | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10
% 194.87/31.93  | | |             = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 194.87/31.93  | | |             e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.87/31.93  | | |           $i(all_57_10) & $i(all_57_13))
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (1), (3), (17) are inconsistent by sub-proof #407.
% 194.87/31.93  | | | 
% 194.87/31.93  | | End of split
% 194.87/31.93  | | 
% 194.87/31.93  | End of split
% 194.87/31.93  | 
% 194.87/31.93  End of proof
% 194.87/31.93  
% 194.87/31.93  Sub-proof #280 shows that the following formulas are inconsistent:
% 194.87/31.93  ----------------------------------------------------------------
% 194.87/31.93    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.87/31.93         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.87/31.93    (2)   ~ (e3 = e2)
% 194.87/31.93    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.93    (4)  op(e2, e2) = e1
% 194.87/31.93    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.87/31.93         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.87/31.93    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.87/31.93         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.87/31.93    (7)  op(e1, e1) = e0
% 194.87/31.93    (8)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.87/31.93         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.87/31.93    (9)  all_56_10 = e0
% 194.87/31.93    (10)   ~ (e1 = e0)
% 194.87/31.93    (11)  all_56_2 = e1
% 194.87/31.93    (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.87/31.93          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.87/31.93    (13)   ~ (e2 = e1)
% 194.87/31.93    (14)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.87/31.93          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.87/31.93    (15)   ~ (e3 = e1)
% 194.87/31.93    (16)   ~ (e2 = e0)
% 194.87/31.93    (17)   ~ (e3 = e0)
% 194.87/31.93  
% 194.87/31.93  Begin of proof
% 194.87/31.93  | 
% 194.87/31.93  | BETA: splitting (8) gives:
% 194.87/31.93  | 
% 194.87/31.93  | Case 1:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (18)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 194.87/31.93  | |           e3)
% 194.87/31.93  | | 
% 194.87/31.93  | | REF_CLOSE: (3), (4), (11), (15), (18) are inconsistent by sub-proof #1021.
% 194.87/31.93  | | 
% 194.87/31.93  | Case 2:
% 194.87/31.93  | | 
% 194.87/31.93  | |   (19)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 194.87/31.93  | |           e3)
% 194.87/31.93  | | 
% 194.87/31.93  | | BETA: splitting (19) gives:
% 194.87/31.93  | | 
% 194.87/31.93  | | Case 1:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (20)  all_56_5 = e3 & op(e2, e1) = e3
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (20) implies:
% 194.87/31.93  | | |   (21)  all_56_5 = e3
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (11), (12), (13),
% 194.87/31.93  | | |            (14), (15), (16), (17), (21) are inconsistent by sub-proof
% 194.87/31.93  | | |            #1017.
% 194.87/31.93  | | | 
% 194.87/31.93  | | Case 2:
% 194.87/31.93  | | | 
% 194.87/31.93  | | |   (22)  all_56_10 = e3 & op(e2, e0) = e3
% 194.87/31.93  | | | 
% 194.87/31.93  | | | ALPHA: (22) implies:
% 194.87/31.93  | | |   (23)  all_56_10 = e3
% 194.87/31.93  | | | 
% 194.87/31.93  | | | REF_CLOSE: (9), (17), (23) are inconsistent by sub-proof #1432.
% 194.87/31.93  | | | 
% 194.87/31.93  | | End of split
% 194.87/31.93  | | 
% 194.87/31.93  | End of split
% 194.87/31.93  | 
% 194.87/31.93  End of proof
% 194.87/31.93  
% 194.87/31.93  Sub-proof #281 shows that the following formulas are inconsistent:
% 194.87/31.93  ----------------------------------------------------------------
% 194.87/31.93    (1)  op(e3, e3) = e0
% 194.87/31.93    (2)   ~ (all_52_14 = e0)
% 194.87/31.93    (3)   ~ (all_52_11 = e1)
% 194.87/31.93    (4)  op(e0, e0) = e1
% 194.87/31.93    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.93    (6)  op(e1, e0) = all_52_14
% 194.87/31.94    (7)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.87/31.94           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.87/31.94           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.87/31.94                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.87/31.94               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.87/31.94               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.87/31.94           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.87/31.94             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.87/31.94               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.94           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.87/31.94               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.87/31.94           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.87/31.94           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.87/31.94               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.87/31.94               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.94               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.87/31.94         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.87/31.94           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.87/31.94           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.87/31.94               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.87/31.94             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.87/31.94         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.87/31.94             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.87/31.94           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.87/31.94               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.87/31.94             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.94         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.87/31.94             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.94           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.87/31.94               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.87/31.94             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.87/31.94         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.87/31.94             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.87/31.94           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.87/31.94               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.87/31.94             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.94         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.87/31.94             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.94           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.87/31.94               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.87/31.94             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.87/31.94    (8)  op(e0, e2) = e0
% 194.87/31.94    (9)  op(e0, e1) = all_52_11
% 194.87/31.94    (10)  op(e1, e1) = e0
% 194.87/31.94    (11)   ~ (e1 = e0)
% 194.87/31.94    (12)   ~ (e2 = e1)
% 194.87/31.94    (13)   ~ (e2 = e0)
% 194.87/31.94    (14)   ~ (e3 = e0)
% 194.87/31.94  
% 194.87/31.94  Begin of proof
% 194.87/31.94  | 
% 194.87/31.94  | BETA: splitting (7) gives:
% 194.87/31.94  | 
% 194.87/31.94  | Case 1:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (15)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.87/31.94  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.87/31.94  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.94  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.94  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.87/31.94  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.87/31.94  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 194.87/31.94  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.87/31.94  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.87/31.94  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 194.87/31.94  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.87/31.94  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 194.87/31.94  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.87/31.94  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 194.87/31.94  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.87/31.94  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.94  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.87/31.94  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.87/31.94  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.87/31.94  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.87/31.94  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.87/31.94  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 194.87/31.94  | |                 e1) = all_57_7 & $i(all_57_7))))
% 194.87/31.94  | | 
% 194.87/31.94  | | BETA: splitting (15) gives:
% 194.87/31.94  | | 
% 194.87/31.94  | | Case 1:
% 194.87/31.94  | | | 
% 194.87/31.94  | | |   (16)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 194.87/31.94  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.87/31.94  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.94  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.94  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.87/31.94  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.87/31.94  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 194.87/31.94  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.87/31.94  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.87/31.94  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.94  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.87/31.94  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))))
% 194.87/31.94  | | | 
% 194.87/31.94  | | | BETA: splitting (16) gives:
% 194.87/31.94  | | | 
% 194.87/31.94  | | | Case 1:
% 194.87/31.94  | | | | 
% 194.87/31.94  | | | |   (17)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 194.87/31.94  | | | |         e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15
% 194.87/31.94  | | | |         & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.94  | | | |             (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.94  | | | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.87/31.94  | | | |             op(e1, e0) = all_57_13 & $i(all_57_13)))
% 194.87/31.94  | | | | 
% 194.87/31.94  | | | | ALPHA: (17) implies:
% 194.87/31.94  | | | |   (18)  op(e0, e2) = e2
% 194.87/31.94  | | | | 
% 194.87/31.94  | | | | REF_CLOSE: (5), (8), (13), (18) are inconsistent by sub-proof #423.
% 194.87/31.94  | | | | 
% 194.87/31.94  | | | Case 2:
% 194.87/31.94  | | | | 
% 194.87/31.94  | | | |   (19)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 194.87/31.94  | | | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2
% 194.87/31.94  | | | |         & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.87/31.94  | | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.94  | | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.87/31.94  | | | |             op(e1, e2) = all_57_4 & $i(all_57_4)))
% 194.87/31.94  | | | | 
% 194.87/31.94  | | | | ALPHA: (19) implies:
% 194.87/31.94  | | | |   (20)  op(e0, e0) = e2
% 194.87/31.94  | | | | 
% 194.87/31.94  | | | | REF_CLOSE: (4), (5), (12), (20) are inconsistent by sub-proof #1780.
% 194.87/31.94  | | | | 
% 194.87/31.94  | | | End of split
% 194.87/31.94  | | | 
% 194.87/31.94  | | Case 2:
% 194.87/31.94  | | | 
% 194.87/31.94  | | |   (21)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 194.87/31.94  | | |           & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.87/31.94  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.94  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.94  | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.87/31.94  | | |               op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 194.87/31.94  | | |           all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 194.87/31.94  | | |           op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.87/31.94  | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.87/31.94  | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.87/31.94  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.87/31.94  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.87/31.94  | | | 
% 194.87/31.94  | | | REF_CLOSE: (2), (3), (5), (6), (9), (21) are inconsistent by sub-proof
% 194.87/31.94  | | |            #1883.
% 194.87/31.94  | | | 
% 194.87/31.94  | | End of split
% 194.87/31.94  | | 
% 194.87/31.94  | Case 2:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (22)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 194.87/31.94  | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.87/31.94  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.87/31.94  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.87/31.94  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.87/31.94  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 194.87/31.94  | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.87/31.94  | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 194.87/31.94  | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 194.87/31.94  | |               all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.87/31.94  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.87/31.94  | |               $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 194.87/31.94  | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 194.87/31.94  | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 194.87/31.94  | |                 e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.87/31.94  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.87/31.94  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.94  | |         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 194.87/31.94  | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.87/31.94  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.94  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.87/31.94  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.87/31.94  | |               op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.87/31.94  | | 
% 194.87/31.94  | | BETA: splitting (22) gives:
% 194.87/31.94  | | 
% 194.87/31.94  | | Case 1:
% 194.87/31.94  | | | 
% 194.87/31.94  | | |   (23)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 194.87/31.94  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.87/31.94  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.87/31.94  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.87/31.94  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.87/31.94  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 194.87/31.94  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.87/31.94  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.94  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.87/31.94  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.87/31.94  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.87/31.94  | | |               all_57_5 & $i(all_57_5))))
% 194.87/31.94  | | | 
% 194.87/31.94  | | | REF_CLOSE: (1), (4), (5), (8), (12), (14), (23) are inconsistent by
% 194.87/31.94  | | |            sub-proof #282.
% 194.87/31.94  | | | 
% 194.87/31.94  | | Case 2:
% 194.87/31.94  | | | 
% 194.87/31.94  | | |   (24)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3)
% 194.87/31.94  | | |               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.87/31.94  | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.87/31.94  | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.87/31.94  | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 194.87/31.94  | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 194.87/31.94  | | |           op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.94  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.94  | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.87/31.94  | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.87/31.94  | | |               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.87/31.94  | | |               all_57_13 & $i(all_57_13))))
% 194.87/31.94  | | | 
% 194.87/31.94  | | | REF_CLOSE: (4), (5), (10), (11), (24) are inconsistent by sub-proof #915.
% 194.87/31.94  | | | 
% 194.87/31.94  | | End of split
% 194.87/31.94  | | 
% 194.87/31.94  | End of split
% 194.87/31.94  | 
% 194.87/31.94  End of proof
% 194.87/31.94  
% 194.87/31.94  Sub-proof #282 shows that the following formulas are inconsistent:
% 194.87/31.94  ----------------------------------------------------------------
% 194.87/31.94    (1)  op(e3, e3) = e0
% 194.87/31.94    (2)  op(e0, e0) = e1
% 194.87/31.94    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.94    (4)  op(e0, e2) = e0
% 194.87/31.94    (5)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.87/31.94             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.87/31.94           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.87/31.94               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.87/31.94             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.94         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.87/31.94             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.94           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.87/31.94               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.87/31.94             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.87/31.94    (6)   ~ (e2 = e1)
% 194.87/31.94    (7)   ~ (e3 = e0)
% 194.87/31.94  
% 194.87/31.94  Begin of proof
% 194.87/31.94  | 
% 194.87/31.94  | BETA: splitting (5) gives:
% 194.87/31.94  | 
% 194.87/31.94  | Case 1:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (8)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 194.87/31.94  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.87/31.94  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.87/31.94  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.87/31.94  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.87/31.94  | |              e3) = all_57_2 & $i(all_57_2)))
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (8) implies:
% 194.87/31.94  | |   (9)  op(e3, e3) = e3
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (1), (3), (7), (9) are inconsistent by sub-proof #1961.
% 194.87/31.94  | | 
% 194.87/31.94  | Case 2:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (10)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 194.87/31.94  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.87/31.94  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.87/31.94  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.87/31.94  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.87/31.94  | |               e2) = all_57_5 & $i(all_57_5)))
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (10) implies:
% 194.87/31.94  | |   (11)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.87/31.94  | |             e2) = all_57_5 & $i(all_57_5))
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (2), (3), (4), (6), (11) are inconsistent by sub-proof #283.
% 194.87/31.94  | | 
% 194.87/31.94  | End of split
% 194.87/31.94  | 
% 194.87/31.94  End of proof
% 194.87/31.94  
% 194.87/31.94  Sub-proof #283 shows that the following formulas are inconsistent:
% 194.87/31.94  ----------------------------------------------------------------
% 194.87/31.94    (1)  op(e0, e0) = e1
% 194.87/31.94    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.94    (3)  op(e0, e2) = e0
% 194.87/31.94    (4)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.87/31.94           all_57_5 & $i(all_57_5))
% 194.87/31.94    (5)   ~ (e2 = e1)
% 194.87/31.94  
% 194.87/31.94  Begin of proof
% 194.87/31.94  | 
% 194.87/31.94  | BETA: splitting (4) gives:
% 194.87/31.94  | 
% 194.87/31.94  | Case 1:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (6)  all_57_15 = e2 & op(e0, e0) = e2
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (6) implies:
% 194.87/31.94  | |   (7)  op(e0, e0) = e2
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1780.
% 194.87/31.94  | | 
% 194.87/31.94  | Case 2:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (8)   ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (8) implies:
% 194.87/31.94  | |   (9)   ~ (all_57_5 = e0)
% 194.87/31.94  | |   (10)  op(e0, e2) = all_57_5
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (2), (3), (9), (10) are inconsistent by sub-proof #1589.
% 194.87/31.94  | | 
% 194.87/31.94  | End of split
% 194.87/31.94  | 
% 194.87/31.94  End of proof
% 194.87/31.94  
% 194.87/31.94  Sub-proof #284 shows that the following formulas are inconsistent:
% 194.87/31.94  ----------------------------------------------------------------
% 194.87/31.94    (1)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 194.87/31.94             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.87/31.94           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.87/31.94         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 194.87/31.94             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.87/31.94           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.87/31.94    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.94    (3)  op(e1, e0) = all_52_14
% 194.87/31.94    (4)   ~ (all_52_14 = e1)
% 194.87/31.94    (5)  op(e2, e2) = e0
% 194.87/31.94  
% 194.87/31.94  Begin of proof
% 194.87/31.94  | 
% 194.87/31.94  | BETA: splitting (1) gives:
% 194.87/31.94  | 
% 194.87/31.94  | Case 1:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (6)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 194.87/31.94  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.87/31.94  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (6) implies:
% 194.87/31.94  | |   (7)   ~ (all_57_12 = e0)
% 194.87/31.94  | |   (8)  op(e2, e2) = all_57_12
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (2), (5), (7), (8) are inconsistent by sub-proof #1381.
% 194.87/31.94  | | 
% 194.87/31.94  | Case 2:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (9)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 194.87/31.94  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.87/31.94  | |        all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (9) implies:
% 194.87/31.94  | |   (10)  op(e1, e0) = e1
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1958.
% 194.87/31.94  | | 
% 194.87/31.94  | End of split
% 194.87/31.94  | 
% 194.87/31.94  End of proof
% 194.87/31.94  
% 194.87/31.94  Sub-proof #285 shows that the following formulas are inconsistent:
% 194.87/31.94  ----------------------------------------------------------------
% 194.87/31.94    (1)  op(e3, e3) = e0
% 194.87/31.94    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.87/31.94             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.87/31.94           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 194.87/31.94           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.87/31.94           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.87/31.94           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.87/31.94           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 194.87/31.94           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 194.87/31.94           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 194.87/31.94           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 194.87/31.94           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.87/31.94           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 194.87/31.94           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.87/31.94           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.87/31.94           $i(all_57_10) & $i(all_57_13))
% 194.87/31.94    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.94    (4)  op(e0, e1) = e0
% 194.87/31.94    (5)   ~ (e1 = e0)
% 194.87/31.94    (6)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) = all_16_1
% 194.87/31.94           & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0, e1) =
% 194.87/31.94           all_16_1 & $i(all_16_1))
% 194.87/31.94  
% 194.87/31.94  Begin of proof
% 194.87/31.94  | 
% 194.87/31.94  | BETA: splitting (2) gives:
% 194.87/31.94  | 
% 194.87/31.94  | Case 1:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (7)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 194.87/31.94  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.87/31.94  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 194.87/31.94  | |        (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 194.87/31.94  | |            = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.87/31.94  | |          all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (1), (3), (4), (5), (6), (7) are inconsistent by sub-proof #286.
% 194.87/31.94  | | 
% 194.87/31.94  | Case 2:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (8)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.87/31.94  | |            = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.87/31.94  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.87/31.94  | |        (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 194.87/31.94  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 194.87/31.94  | |          e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 194.87/31.94  | |        (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 194.87/31.94  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 194.87/31.94  | |          e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.87/31.94  | | 
% 194.87/31.94  | | BETA: splitting (8) gives:
% 194.87/31.94  | | 
% 194.87/31.94  | | Case 1:
% 194.87/31.94  | | | 
% 194.87/31.94  | | |   (9)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.87/31.94  | | |          = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.87/31.94  | | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 194.87/31.94  | | | 
% 194.87/31.94  | | | ALPHA: (9) implies:
% 194.87/31.94  | | |   (10)   ~ (all_57_8 = e0)
% 194.87/31.94  | | |   (11)  op(e0, e1) = all_57_8
% 194.87/31.94  | | | 
% 194.87/31.94  | | | REF_CLOSE: (3), (4), (6), (10), (11) are inconsistent by sub-proof #287.
% 194.87/31.94  | | | 
% 194.87/31.94  | | Case 2:
% 194.87/31.94  | | | 
% 194.87/31.94  | | |   (12)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.87/31.94  | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.87/31.94  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.87/31.94  | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10
% 194.87/31.94  | | |             = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 194.87/31.94  | | |             e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.87/31.94  | | |           $i(all_57_10) & $i(all_57_13))
% 194.87/31.94  | | | 
% 194.87/31.94  | | | REF_CLOSE: (1), (3), (12) are inconsistent by sub-proof #407.
% 194.87/31.94  | | | 
% 194.87/31.94  | | End of split
% 194.87/31.94  | | 
% 194.87/31.94  | End of split
% 194.87/31.94  | 
% 194.87/31.94  End of proof
% 194.87/31.94  
% 194.87/31.94  Sub-proof #286 shows that the following formulas are inconsistent:
% 194.87/31.94  ----------------------------------------------------------------
% 194.87/31.94    (1)  op(e3, e3) = e0
% 194.87/31.94    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.94    (3)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.87/31.94             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.87/31.94           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 194.87/31.94           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.87/31.94           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.87/31.94           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 194.87/31.94    (4)  op(e0, e1) = e0
% 194.87/31.94    (5)   ~ (e1 = e0)
% 194.87/31.94    (6)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) = all_16_1
% 194.87/31.94           & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0, e1) =
% 194.87/31.94           all_16_1 & $i(all_16_1))
% 194.87/31.94  
% 194.87/31.94  Begin of proof
% 194.87/31.94  | 
% 194.87/31.94  | BETA: splitting (3) gives:
% 194.87/31.94  | 
% 194.87/31.94  | Case 1:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.87/31.94  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.87/31.94  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (7) implies:
% 194.87/31.94  | |   (8)   ~ (all_57_8 = e0)
% 194.87/31.94  | |   (9)  op(e0, e1) = all_57_8
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (2), (4), (6), (8), (9) are inconsistent by sub-proof #287.
% 194.87/31.94  | | 
% 194.87/31.94  | Case 2:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (10)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 194.87/31.94  | |           = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.87/31.94  | |         all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (10) implies:
% 194.87/31.94  | |   (11)  op(e3, e3) = e1
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (1), (2), (5), (11) are inconsistent by sub-proof #1937.
% 194.87/31.94  | | 
% 194.87/31.94  | End of split
% 194.87/31.94  | 
% 194.87/31.94  End of proof
% 194.87/31.94  
% 194.87/31.94  Sub-proof #287 shows that the following formulas are inconsistent:
% 194.87/31.94  ----------------------------------------------------------------
% 194.87/31.94    (1)   ~ (all_57_8 = e0)
% 194.87/31.94    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.94    (3)  op(e0, e1) = all_57_8
% 194.87/31.94    (4)  op(e0, e1) = e0
% 194.87/31.94    (5)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) = all_16_1
% 194.87/31.94           & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0, e1) =
% 194.87/31.94           all_16_1 & $i(all_16_1))
% 194.87/31.94  
% 194.87/31.94  Begin of proof
% 194.87/31.94  | 
% 194.87/31.94  | BETA: splitting (5) gives:
% 194.87/31.94  | 
% 194.87/31.94  | Case 1:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (6)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 194.87/31.94  | |        all_16_1 & $i(all_16_0) & $i(all_16_1)
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (6) implies:
% 194.87/31.94  | |   (7)  op(e0, e1) = all_16_1
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (1), (2), (3), (4), (7) are inconsistent by sub-proof #869.
% 194.87/31.94  | | 
% 194.87/31.94  | Case 2:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (8)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 & $i(all_16_1)
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (8) implies:
% 194.87/31.94  | |   (9)  op(e0, e1) = all_16_1
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (1), (2), (3), (4), (9) are inconsistent by sub-proof #869.
% 194.87/31.94  | | 
% 194.87/31.94  | End of split
% 194.87/31.94  | 
% 194.87/31.94  End of proof
% 194.87/31.94  
% 194.87/31.94  Sub-proof #288 shows that the following formulas are inconsistent:
% 194.87/31.94  ----------------------------------------------------------------
% 194.87/31.94    (1)  op(e3, e3) = e0
% 194.87/31.94    (2)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 194.87/31.94             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.87/31.94           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 194.87/31.94           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.87/31.94           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 194.87/31.94           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 194.87/31.94           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 194.87/31.94           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.87/31.94           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.87/31.94    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.94    (4)   ~ (all_52_9 = e2)
% 194.87/31.94    (5)  op(e2, e1) = all_52_9
% 194.87/31.94  
% 194.87/31.94  Begin of proof
% 194.87/31.94  | 
% 194.87/31.94  | BETA: splitting (2) gives:
% 194.87/31.94  | 
% 194.87/31.94  | Case 1:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (6)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 194.87/31.94  | |          e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.87/31.94  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 194.87/31.94  | | 
% 194.87/31.94  | | ALPHA: (6) implies:
% 194.87/31.94  | |   (7)  op(e2, e1) = e2
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #1942.
% 194.87/31.94  | | 
% 194.87/31.94  | Case 2:
% 194.87/31.94  | | 
% 194.87/31.94  | |   (8)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 194.87/31.94  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 194.87/31.94  | |          e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 194.87/31.94  | |        (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 194.87/31.94  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 194.87/31.94  | |          e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.87/31.94  | | 
% 194.87/31.94  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #407.
% 194.87/31.94  | | 
% 194.87/31.94  | End of split
% 194.87/31.94  | 
% 194.87/31.94  End of proof
% 194.87/31.94  
% 194.87/31.94  Sub-proof #289 shows that the following formulas are inconsistent:
% 194.87/31.94  ----------------------------------------------------------------
% 194.87/31.94    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.94    (2)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) = all_20_1
% 194.87/31.94           & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1, e3) =
% 194.87/31.94           all_20_1 & $i(all_20_1))
% 194.87/31.94    (3)  op(e1, e3) = e2
% 194.87/31.94    (4)   ~ (e2 = e1)
% 194.87/31.94    (5)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 & op(e1, e3) = all_30_1
% 194.87/31.94           & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3) =
% 194.87/31.94           all_30_1 & $i(all_30_1))
% 194.87/31.94    (6)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 &
% 194.87/31.94         op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.87/31.94         ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.87/31.94             all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 194.87/31.94             (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))
% 194.87/31.94  
% 194.87/31.94  Begin of proof
% 194.87/31.94  | 
% 194.87/31.94  | ALPHA: (6) implies:
% 194.87/31.94  |   (7)  op(e1, e3) = e1
% 194.87/31.94  | 
% 194.87/31.94  | BETA: splitting (2) gives:
% 194.87/31.94  | 
% 194.87/31.94  | Case 1:
% 194.87/31.94  | | 
% 194.87/31.95  | |   (8)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) =
% 194.87/31.95  | |        all_20_1 & $i(all_20_0) & $i(all_20_1)
% 194.87/31.95  | | 
% 194.87/31.95  | | ALPHA: (8) implies:
% 194.87/31.95  | |   (9)  op(e1, e3) = all_20_1
% 194.87/31.95  | | 
% 194.87/31.95  | | BETA: splitting (5) gives:
% 194.87/31.95  | | 
% 194.87/31.95  | | Case 1:
% 194.87/31.95  | | | 
% 194.87/31.95  | | |   (10)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 & op(e1, e3) =
% 194.87/31.95  | | |         all_30_1 & $i(all_30_0) & $i(all_30_1)
% 194.87/31.95  | | | 
% 194.87/31.95  | | | ALPHA: (10) implies:
% 194.87/31.95  | | |   (11)  op(e1, e3) = all_30_1
% 194.87/31.95  | | | 
% 194.87/31.95  | | | REF_CLOSE: (1), (3), (4), (7), (9), (11) are inconsistent by sub-proof
% 194.87/31.95  | | |            #290.
% 194.87/31.95  | | | 
% 194.87/31.95  | | Case 2:
% 194.87/31.95  | | | 
% 194.87/31.95  | | |   (12)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 & $i(all_30_1)
% 194.87/31.95  | | | 
% 194.87/31.95  | | | ALPHA: (12) implies:
% 194.87/31.95  | | |   (13)  op(e1, e3) = all_30_1
% 194.87/31.95  | | | 
% 194.87/31.95  | | | REF_CLOSE: (1), (3), (4), (7), (9), (13) are inconsistent by sub-proof
% 194.87/31.95  | | |            #290.
% 194.87/31.95  | | | 
% 194.87/31.95  | | End of split
% 194.87/31.95  | | 
% 194.87/31.95  | Case 2:
% 194.87/31.95  | | 
% 194.87/31.95  | |   (14)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 & $i(all_20_1)
% 194.87/31.95  | | 
% 194.87/31.95  | | REF_CLOSE: (1), (3), (5), (14) are inconsistent by sub-proof #343.
% 194.87/31.95  | | 
% 194.87/31.95  | End of split
% 194.87/31.95  | 
% 194.87/31.95  End of proof
% 194.87/31.95  
% 194.87/31.95  Sub-proof #290 shows that the following formulas are inconsistent:
% 194.87/31.95  ----------------------------------------------------------------
% 194.87/31.95    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.95           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.95    (2)  op(e1, e3) = e2
% 194.87/31.95    (3)  op(e1, e3) = e1
% 194.87/31.95    (4)  op(e1, e3) = all_30_1
% 194.87/31.95    (5)   ~ (e2 = e1)
% 194.87/31.95    (6)  op(e1, e3) = all_20_1
% 194.87/31.95  
% 194.87/31.95  Begin of proof
% 194.87/31.95  | 
% 194.87/31.95  | GROUND_INST: instantiating (1) with e1, all_20_1, e3, e1, simplifying with
% 194.87/31.95  |              (3), (6) gives:
% 194.87/31.95  |   (7)  all_20_1 = e1
% 194.87/31.95  | 
% 194.87/31.95  | GROUND_INST: instantiating (1) with e2, all_30_1, e3, e1, simplifying with
% 194.87/31.95  |              (2), (4) gives:
% 194.87/31.95  |   (8)  all_30_1 = e2
% 194.87/31.95  | 
% 194.87/31.95  | GROUND_INST: instantiating (1) with all_20_1, all_30_1, e3, e1, simplifying
% 194.87/31.95  |              with (4), (6) gives:
% 194.87/31.95  |   (9)  all_30_1 = all_20_1
% 194.87/31.95  | 
% 194.87/31.95  | COMBINE_EQS: (8), (9) imply:
% 194.87/31.95  |   (10)  all_20_1 = e2
% 194.87/31.95  | 
% 194.87/31.95  | SIMP: (10) implies:
% 194.87/31.95  |   (11)  all_20_1 = e2
% 194.87/31.95  | 
% 194.87/31.95  | COMBINE_EQS: (7), (11) imply:
% 194.87/31.95  |   (12)  e2 = e1
% 194.87/31.95  | 
% 194.87/31.95  | REDUCE: (5), (12) imply:
% 194.87/31.95  |   (13)  $false
% 194.87/31.95  | 
% 194.87/31.95  | CLOSE: (13) is inconsistent.
% 194.87/31.95  | 
% 194.87/31.95  End of proof
% 194.87/31.95  
% 194.87/31.95  Sub-proof #291 shows that the following formulas are inconsistent:
% 194.87/31.95  ----------------------------------------------------------------
% 194.87/31.95    (1)  op(e3, e3) = e0
% 194.87/31.95    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.87/31.95           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.87/31.95           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.87/31.95                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.87/31.95               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.87/31.95               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.87/31.95           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.87/31.95           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.87/31.95               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.87/31.95           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.87/31.95               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.87/31.95           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.87/31.95           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.87/31.95               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.87/31.95               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.87/31.95               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.95         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.87/31.95           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.87/31.95           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.87/31.95               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.87/31.95             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.95         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.87/31.95           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.87/31.95           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.87/31.95                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.87/31.95               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.87/31.95               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.87/31.95           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.87/31.95           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.87/31.95             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.87/31.95           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.87/31.95               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.87/31.95           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.87/31.95           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.87/31.95               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.87/31.95               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.87/31.95               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.95         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.87/31.95           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.87/31.95           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.87/31.95               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.87/31.95             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.87/31.95         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.87/31.95           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.87/31.95           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.87/31.95                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.87/31.95               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.87/31.95               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.87/31.95           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.87/31.95             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.87/31.95               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.95           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.87/31.95               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.87/31.95           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.87/31.95           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.87/31.95               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.87/31.95               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.95               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.87/31.95         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.87/31.95           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.87/31.95           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.87/31.95               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.87/31.95             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.87/31.95         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.87/31.95             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.87/31.95           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.87/31.95               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.87/31.95             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.95         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.87/31.95             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.95           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.87/31.95               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.87/31.95             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.87/31.95         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.87/31.95             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.87/31.95           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.87/31.95               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.87/31.95             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.95         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.87/31.95             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.95           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.87/31.95               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.87/31.95             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.87/31.95    (3)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.87/31.95         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.87/31.95    (4)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.87/31.95         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.87/31.95    (5)   ~ (all_52_1 = all_52_9)
% 194.87/31.95    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 194.87/31.95         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 194.87/31.95    (7)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.87/31.95         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.87/31.95    (8)   ~ (e3 = e2)
% 194.87/31.95    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.95           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.95    (10)   ~ (all_52_9 = e1)
% 194.87/31.95    (11)  op(e2, e2) = e1
% 194.87/31.95    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.87/31.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.87/31.95    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.87/31.95          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.87/31.95    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.87/31.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.87/31.95    (15)  op(e0, e3) = all_52_3
% 194.87/31.95    (16)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.87/31.95          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 194.87/31.95            e2)
% 194.87/31.95    (17)  op(e2, e0) = all_52_13
% 194.87/31.95    (18)  op(e3, e1) = e2
% 194.87/31.95    (19)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 194.87/31.95            all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0,
% 194.87/31.95              e3) = all_18_1 & $i(all_18_1))
% 194.87/31.95    (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.87/31.95          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.87/31.95    (21)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.87/31.95          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.87/31.95    (22)   ~ (all_52_12 = e0)
% 194.87/31.95    (23)   ~ (all_52_12 = e3)
% 194.87/31.95    (24)  op(e3, e2) = e3
% 194.87/31.95    (25)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.87/31.95          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.87/31.95    (26)   ~ (e1 = e0)
% 194.87/31.95    (27)  all_56_4 = e2
% 194.87/31.95    (28)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.87/31.95              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.87/31.95                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.87/31.95                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.87/31.95    (29)   ~ (e2 = e1)
% 194.87/31.95    (30)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.87/31.95          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.87/31.95    (31)   ~ (all_52_3 = e0)
% 194.87/31.95    (32)  op(e3, e0) = all_52_12
% 194.87/31.95    (33)  op(e2, e1) = all_52_9
% 194.87/31.95    (34)  op(e2, e3) = e3
% 194.87/31.95    (35)  all_56_1 = e3
% 194.87/31.95    (36)  op(e3, e1) = all_52_8
% 194.87/31.95    (37)  op(e0, e0) = e3
% 194.87/31.95    (38)   ~ (all_52_9 = all_52_13)
% 194.87/31.95    (39)   ~ (e3 = e1)
% 194.87/31.95    (40)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.87/31.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.87/31.95    (41)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.87/31.95          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.87/31.95    (42)  op(e1, e1) = e3
% 194.87/31.95    (43)   ~ (e2 = e0)
% 194.87/31.95    (44)  op(e2, e3) = all_52_1
% 194.87/31.95    (45)   ~ (all_52_8 = e0)
% 194.87/31.95    (46)   ~ (e3 = e0)
% 194.87/31.95  
% 194.87/31.95  Begin of proof
% 194.87/31.95  | 
% 194.87/31.95  | BETA: splitting (6) gives:
% 194.87/31.95  | 
% 194.87/31.95  | Case 1:
% 194.87/31.95  | | 
% 194.87/31.95  | |   (47)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 194.87/31.95  | |           e1)
% 194.87/31.95  | | 
% 194.87/31.95  | | REF_CLOSE: (1), (9), (24), (26), (39), (47) are inconsistent by sub-proof
% 194.87/31.95  | |            #292.
% 194.87/31.95  | | 
% 194.87/31.95  | Case 2:
% 194.87/31.95  | | 
% 194.87/31.95  | |   (48)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 194.87/31.95  | |           e1)
% 194.87/31.95  | | 
% 194.87/31.95  | | BETA: splitting (48) gives:
% 194.87/31.95  | | 
% 194.87/31.95  | | Case 1:
% 194.87/31.95  | | | 
% 194.87/31.95  | | |   (49)  all_56_4 = e1 & op(e3, e1) = e1
% 194.87/31.95  | | | 
% 194.87/31.95  | | | ALPHA: (49) implies:
% 194.87/31.95  | | |   (50)  all_56_4 = e1
% 194.87/31.95  | | | 
% 194.87/31.95  | | | REF_CLOSE: (27), (29), (50) are inconsistent by sub-proof #1751.
% 194.87/31.95  | | | 
% 194.87/31.95  | | Case 2:
% 194.87/31.95  | | | 
% 194.87/31.95  | | |   (51)  all_56_9 = e1 & op(e3, e0) = e1
% 194.87/31.95  | | | 
% 194.87/31.95  | | | ALPHA: (51) implies:
% 194.87/31.95  | | |   (52)  all_56_9 = e1
% 194.87/31.95  | | | 
% 194.87/31.95  | | | BETA: splitting (13) gives:
% 194.87/31.95  | | | 
% 194.87/31.95  | | | Case 1:
% 194.87/31.95  | | | | 
% 194.87/31.95  | | | |   (53)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1)
% 194.87/31.95  | | | |           = e1)
% 194.87/31.95  | | | | 
% 194.87/31.95  | | | | BETA: splitting (53) gives:
% 194.87/31.95  | | | | 
% 194.87/31.95  | | | | Case 1:
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | |   (54)  all_56_4 = e1 & op(e3, e1) = e1
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | | ALPHA: (54) implies:
% 194.87/31.95  | | | | |   (55)  all_56_4 = e1
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | | REF_CLOSE: (27), (29), (55) are inconsistent by sub-proof #1751.
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | Case 2:
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | |   (56)  all_56_5 = e1 & op(e2, e1) = e1
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | | ALPHA: (56) implies:
% 194.87/31.95  | | | | |   (57)  op(e2, e1) = e1
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | | REF_CLOSE: (9), (10), (33), (57) are inconsistent by sub-proof #1755.
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | End of split
% 194.87/31.95  | | | | 
% 194.87/31.95  | | | Case 2:
% 194.87/31.95  | | | | 
% 194.87/31.95  | | | |   (58)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1)
% 194.87/31.95  | | | |           = e1)
% 194.87/31.95  | | | | 
% 194.87/31.95  | | | | BETA: splitting (58) gives:
% 194.87/31.95  | | | | 
% 194.87/31.95  | | | | Case 1:
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | |   (59)  all_56_8 = e1 & op(e1, e1) = e1
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | | ALPHA: (59) implies:
% 194.87/31.95  | | | | |   (60)  op(e1, e1) = e1
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | | REF_CLOSE: (9), (39), (42), (60) are inconsistent by sub-proof #1978.
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | Case 2:
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | |   (61)  all_56_14 = e1 & op(e0, e1) = e1
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | | ALPHA: (61) implies:
% 194.87/31.95  | | | | |   (62)  all_56_14 = e1
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | | BETA: splitting (4) gives:
% 194.87/31.95  | | | | | 
% 194.87/31.95  | | | | | Case 1:
% 194.87/31.95  | | | | | | 
% 194.87/31.95  | | | | | |   (63)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2,
% 194.87/31.95  | | | | | |             e1) = e0)
% 194.87/31.95  | | | | | | 
% 194.87/31.95  | | | | | | BETA: splitting (63) gives:
% 194.87/31.95  | | | | | | 
% 194.87/31.95  | | | | | | Case 1:
% 194.87/31.95  | | | | | | | 
% 194.87/31.95  | | | | | | |   (64)  all_56_4 = e0 & op(e3, e1) = e0
% 194.87/31.95  | | | | | | | 
% 194.87/31.95  | | | | | | | REF_CLOSE: (9), (36), (45), (64) are inconsistent by sub-proof
% 194.87/31.95  | | | | | | |            #406.
% 194.87/31.95  | | | | | | | 
% 194.87/31.95  | | | | | | Case 2:
% 194.87/31.95  | | | | | | | 
% 194.87/31.95  | | | | | | |   (65)  all_56_5 = e0 & op(e2, e1) = e0
% 194.87/31.95  | | | | | | | 
% 194.87/31.95  | | | | | | | ALPHA: (65) implies:
% 194.87/31.95  | | | | | | |   (66)  all_56_5 = e0
% 194.87/31.95  | | | | | | | 
% 194.87/31.95  | | | | | | | BETA: splitting (28) gives:
% 194.87/31.95  | | | | | | | 
% 194.87/31.95  | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | 
% 194.87/31.95  | | | | | | | |   (67)  all_56_15 = e0 & op(e0, e0) = e0
% 194.87/31.95  | | | | | | | | 
% 194.87/31.95  | | | | | | | | ALPHA: (67) implies:
% 194.87/31.95  | | | | | | | |   (68)  op(e0, e0) = e0
% 194.87/31.95  | | | | | | | | 
% 194.87/31.95  | | | | | | | | REF_CLOSE: (9), (37), (46), (68) are inconsistent by sub-proof
% 194.87/31.95  | | | | | | | |            #1947.
% 194.87/31.95  | | | | | | | | 
% 194.87/31.95  | | | | | | | Case 2:
% 194.87/31.95  | | | | | | | | 
% 194.87/31.95  | | | | | | | |   (69)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 194.87/31.95  | | | | | | | |             op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 194.87/31.95  | | | | | | | |             e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 194.87/31.95  | | | | | | | |           (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 &
% 194.87/31.95  | | | | | | | |             op(e0, e1) = e0))
% 194.87/31.95  | | | | | | | | 
% 194.87/31.95  | | | | | | | | ALPHA: (69) implies:
% 194.87/31.95  | | | | | | | |   (70)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.87/31.95  | | | | | | | |           op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.87/31.95  | | | | | | | |   (71)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 194.87/31.95  | | | | | | | |           op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.87/31.95  | | | | | | | | 
% 194.87/31.95  | | | | | | | | BETA: splitting (30) gives:
% 194.87/31.95  | | | | | | | | 
% 194.87/31.95  | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | 
% 194.87/31.95  | | | | | | | | |   (72)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 &
% 194.87/31.95  | | | | | | | | |           op(e2, e2) = e2)
% 194.87/31.95  | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | REF_CLOSE: (8), (9), (11), (29), (34), (72) are inconsistent
% 194.87/31.95  | | | | | | | | |            by sub-proof #1167.
% 194.87/31.95  | | | | | | | | | 
% 194.87/31.95  | | | | | | | | Case 2:
% 194.87/31.95  | | | | | | | | | 
% 194.87/31.95  | | | | | | | | |   (73)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 &
% 194.87/31.95  | | | | | | | | |           op(e2, e0) = e2)
% 194.87/31.95  | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | BETA: splitting (73) gives:
% 194.87/31.95  | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | |   (74)  all_56_5 = e2 & op(e2, e1) = e2
% 194.87/31.95  | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | ALPHA: (74) implies:
% 194.87/31.95  | | | | | | | | | |   (75)  op(e2, e1) = e2
% 194.87/31.95  | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | REF_CLOSE: (5), (8), (9), (11), (12), (13), (17), (26), (27),
% 194.87/31.95  | | | | | | | | | |            (29), (30), (33), (38), (39), (42), (43), (44),
% 194.87/31.95  | | | | | | | | | |            (66), (75) are inconsistent by sub-proof #1133.
% 194.87/31.95  | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | Case 2:
% 194.87/31.95  | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | |   (76)  all_56_10 = e2 & op(e2, e0) = e2
% 194.87/31.95  | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | ALPHA: (76) implies:
% 194.87/31.95  | | | | | | | | | |   (77)  all_56_10 = e2
% 194.87/31.95  | | | | | | | | | |   (78)  op(e2, e0) = e2
% 194.87/31.95  | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | BETA: splitting (70) gives:
% 194.87/31.95  | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | |   (79)  all_56_12 = e0 & op(e0, e3) = e0
% 194.87/31.95  | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | ALPHA: (79) implies:
% 194.87/31.95  | | | | | | | | | | |   (80)  op(e0, e3) = e0
% 194.87/31.95  | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | REF_CLOSE: (9), (15), (31), (80) are inconsistent by
% 194.87/31.95  | | | | | | | | | | |            sub-proof #1935.
% 194.87/31.95  | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | Case 2:
% 194.87/31.95  | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | |   (81)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 194.87/31.95  | | | | | | | | | | |           e0 & op(e0, e1) = e0)
% 194.87/31.95  | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | BETA: splitting (81) gives:
% 194.87/31.95  | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | |   (82)  all_56_13 = e0 & op(e0, e2) = e0
% 194.87/31.95  | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | ALPHA: (82) implies:
% 194.87/31.95  | | | | | | | | | | | |   (83)  op(e0, e2) = e0
% 194.87/31.95  | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | BETA: splitting (7) gives:
% 194.87/31.95  | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | |   (84)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 194.87/31.95  | | | | | | | | | | | | |           & op(e2, e2) = e2)
% 194.87/31.95  | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | REF_CLOSE: (8), (9), (11), (24), (29), (84) are inconsistent
% 194.87/31.95  | | | | | | | | | | | | |            by sub-proof #644.
% 194.87/31.95  | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | Case 2:
% 194.87/31.95  | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | |   (85)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 194.87/31.95  | | | | | | | | | | | | |           e2 & op(e0, e2) = e2)
% 194.87/31.95  | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | BETA: splitting (85) gives:
% 194.87/31.95  | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | |   (86)  all_56_7 = e2 & op(e1, e2) = e2
% 194.87/31.95  | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | ALPHA: (86) implies:
% 194.87/31.95  | | | | | | | | | | | | | |   (87)  all_56_7 = e2
% 194.87/31.95  | | | | | | | | | | | | | |   (88)  op(e1, e2) = e2
% 194.87/31.95  | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 194.87/31.95  | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | |   (89)  all_56_9 = e0 & op(e3, e0) = e0
% 194.87/31.95  | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | ALPHA: (89) implies:
% 194.87/31.95  | | | | | | | | | | | | | | |   (90)  op(e3, e0) = e0
% 194.87/31.95  | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | REF_CLOSE: (9), (22), (32), (90) are inconsistent by
% 194.87/31.95  | | | | | | | | | | | | | | |            sub-proof #1799.
% 194.87/31.95  | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | Case 2:
% 194.87/31.95  | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | |   (91)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 194.87/31.95  | | | | | | | | | | | | | | |           e0 & op(e1, e0) = e0)
% 194.87/31.95  | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 194.87/31.95  | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | |   (92)  all_56_10 = e0 & op(e2, e0) = e0
% 194.87/31.95  | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | ALPHA: (92) implies:
% 194.87/31.95  | | | | | | | | | | | | | | | |   (93)  all_56_10 = e0
% 194.87/31.95  | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (93) imply:
% 194.87/31.95  | | | | | | | | | | | | | | | |   (94)  e2 = e0
% 194.87/31.95  | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (94) imply:
% 194.87/31.95  | | | | | | | | | | | | | | | |   (95)  all_56_4 = e0
% 194.87/31.95  | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (12), (13), (26), (29), (39), (42),
% 194.87/31.95  | | | | | | | | | | | | | | | |            (43), (66), (95) are inconsistent by sub-proof
% 194.87/31.95  | | | | | | | | | | | | | | | |            #1153.
% 194.87/31.95  | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | Case 2:
% 194.87/31.95  | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | |   (96)  all_56_11 = e0 & op(e1, e0) = e0
% 194.87/31.95  | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | ALPHA: (96) implies:
% 194.87/31.95  | | | | | | | | | | | | | | | |   (97)  all_56_11 = e0
% 194.87/31.95  | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 194.87/31.95  | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | |   (98)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 194.87/31.95  | | | | | | | | | | | | | | | | |           & op(e1, e2) = e1)
% 194.87/31.95  | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 194.87/31.95  | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | |   (99)  all_56_6 = e1 & op(e1, e3) = e1
% 194.87/31.95  | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | ALPHA: (99) implies:
% 194.87/31.95  | | | | | | | | | | | | | | | | | |   (100)  all_56_6 = e1
% 194.87/31.95  | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 194.87/31.95  | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | |   (101)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | |   (102)  all_56_12 = e2 & op(e0, e3) = e2
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | ALPHA: (102) implies:
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | |   (103)  op(e0, e3) = e2
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |   (104)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | |   (105)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.87/31.95  | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |   (106)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (11), (37), (39), (83), (106) are
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #674.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |   (107)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (108)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (108) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (109)  op(e3, e3) = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (9), (26), (109) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1937.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (110)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (110) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (111)  op(e3, e1) = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with e2, e1, e1, e3, simplifying
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | |              with (18), (111) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (112)  e2 = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (112) imply:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (113)  all_56_7 = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (14), (26), (29), (39), (40), (41),
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (43), (46), (100), (113) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #858.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (114)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_18_1)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (103), (114) are inconsistent by sub-proof
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | |            #476.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |   (115)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |   (116)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15), (23), (31), (32), (116) are
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #397.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |   (117)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (118)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (118) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (119)  op(e2, e1) = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (11), (12), (13), (17), (26), (27),
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            (29), (30), (33), (38), (39), (42), (43), (44),
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            (66), (119) are inconsistent by sub-proof #1133.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (120)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (121)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (9), (24), (43), (121) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #396.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |   (122)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |   (123)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |   (124)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (9), (24), (43), (83), (124) are inconsistent
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #297.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |   (125)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (26), (37), (39), (78), (125) are
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #419.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |   (126)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |   (127)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (128)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (128) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (129)  op(e3, e3) = e3
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (20), (24), (25), (26), (29), (35),
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            (43), (46), (52), (129) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1872.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (130)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (130) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (131)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (9), (24), (43), (131) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #396.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |   (132)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (133)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (134)  op(e1, e1) = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (42), (134) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1978.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (135)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |   (136)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11))
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (26), (78), (136) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #424.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |   (137)  all_56_13 = e2 & op(e0, e2) = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | ALPHA: (137) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |   (138)  all_56_13 = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (11), (26), (35), (43), (46), (87),
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |            (138) are inconsistent by sub-proof #330.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | |   (139)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 194.87/31.96  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |   (140)  all_56_14 = e2 & op(e0, e1) = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | ALPHA: (140) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |   (141)  all_56_14 = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (141) imply:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |   (142)  e2 = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (142) imply:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |   (143)  all_56_7 = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (14), (26), (29), (39), (40), (41),
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |            (42), (43), (46), (100), (143) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |            sub-proof #858.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |   (144)  all_56_15 = e2 & op(e0, e0) = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | ALPHA: (144) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |   (145)  op(e0, e0) = e2
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (37), (145) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | |            sub-proof #1692.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | |   (146)  all_56_7 = e1 & op(e1, e2) = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 194.87/31.96  | | | | | | | | | | | | | | | | | |   (147)  op(e1, e2) = e1
% 194.87/31.96  | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (29), (88), (147) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | | | | | |            sub-proof #784.
% 194.87/31.96  | | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | |   (148)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 194.87/31.96  | | | | | | | | | | | | | | | | |            e1 & op(e1, e0) = e1)
% 194.87/31.96  | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (26), (39), (42), (97), (148) are
% 194.87/31.96  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #339.
% 194.87/31.96  | | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | |   (149)  all_56_13 = e2 & op(e0, e2) = e2
% 194.87/31.96  | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | ALPHA: (149) implies:
% 194.87/31.96  | | | | | | | | | | | | | |   (150)  op(e0, e2) = e2
% 194.87/31.96  | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | | REF_CLOSE: (9), (43), (83), (150) are inconsistent by
% 194.87/31.96  | | | | | | | | | | | | | |            sub-proof #423.
% 194.87/31.96  | | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | Case 2:
% 194.87/31.96  | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | |   (151)  all_56_14 = e0 & op(e0, e1) = e0
% 194.87/31.96  | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | | REF_CLOSE: (26), (62), (151) are inconsistent by sub-proof
% 194.87/31.96  | | | | | | | | | | | |            #1207.
% 194.87/31.96  | | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | | 
% 194.87/31.96  | | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | | 
% 194.87/31.96  | | | | | | | | End of split
% 194.87/31.96  | | | | | | | | 
% 194.87/31.96  | | | | | | | End of split
% 194.87/31.96  | | | | | | | 
% 194.87/31.96  | | | | | | End of split
% 194.87/31.96  | | | | | | 
% 194.87/31.96  | | | | | Case 2:
% 194.87/31.96  | | | | | | 
% 194.87/31.96  | | | | | |   (152)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 &
% 194.87/31.96  | | | | | |            op(e0, e1) = e0)
% 194.87/31.96  | | | | | | 
% 194.87/31.96  | | | | | | REF_CLOSE: (9), (26), (42), (46), (62), (152) are inconsistent by
% 194.87/31.96  | | | | | |            sub-proof #1201.
% 194.87/31.96  | | | | | | 
% 194.87/31.96  | | | | | End of split
% 194.87/31.96  | | | | | 
% 194.87/31.96  | | | | End of split
% 194.87/31.96  | | | | 
% 194.87/31.96  | | | End of split
% 194.87/31.96  | | | 
% 194.87/31.96  | | End of split
% 194.87/31.96  | | 
% 194.87/31.96  | End of split
% 194.87/31.96  | 
% 194.87/31.96  End of proof
% 194.87/31.96  
% 194.87/31.96  Sub-proof #292 shows that the following formulas are inconsistent:
% 194.87/31.96  ----------------------------------------------------------------
% 194.87/31.96    (1)  op(e3, e3) = e0
% 194.87/31.96    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.96    (3)  op(e3, e2) = e3
% 194.87/31.96    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 194.87/31.96    (5)   ~ (e1 = e0)
% 194.87/31.96    (6)   ~ (e3 = e1)
% 194.87/31.96  
% 194.87/31.96  Begin of proof
% 194.87/31.96  | 
% 194.87/31.96  | BETA: splitting (4) gives:
% 194.87/31.96  | 
% 194.87/31.96  | Case 1:
% 194.87/31.96  | | 
% 194.87/31.96  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 194.87/31.96  | | 
% 194.87/31.96  | | ALPHA: (7) implies:
% 194.87/31.96  | |   (8)  op(e3, e3) = e1
% 194.87/31.96  | | 
% 194.87/31.96  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1937.
% 194.87/31.96  | | 
% 194.87/31.96  | Case 2:
% 194.87/31.96  | | 
% 194.87/31.96  | |   (9)  all_56_1 = e1 & op(e3, e2) = e1
% 194.87/31.96  | | 
% 194.87/31.96  | | ALPHA: (9) implies:
% 194.87/31.96  | |   (10)  op(e3, e2) = e1
% 194.87/31.96  | | 
% 194.87/31.96  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #739.
% 194.87/31.96  | | 
% 194.87/31.96  | End of split
% 194.87/31.96  | 
% 194.87/31.96  End of proof
% 194.87/31.96  
% 194.87/31.96  Sub-proof #293 shows that the following formulas are inconsistent:
% 194.87/31.96  ----------------------------------------------------------------
% 194.87/31.96    (1)   ~ (e3 = e2)
% 194.87/31.96    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.96    (3)  all_56_5 = e0
% 194.87/31.96    (4)  all_56_2 = e3
% 194.87/31.96    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.87/31.96         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.87/31.96    (6)   ~ (e1 = e0)
% 194.87/31.96    (7)   ~ (e2 = e1)
% 194.87/31.96    (8)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.87/31.96         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.87/31.96    (9)  op(e2, e3) = e3
% 194.87/31.96    (10)  op(e2, e2) = e0
% 194.87/31.96    (11)   ~ (e3 = e1)
% 194.87/31.96    (12)   ~ (e2 = e0)
% 194.87/31.96  
% 194.87/31.96  Begin of proof
% 194.87/31.96  | 
% 194.87/31.96  | BETA: splitting (5) gives:
% 194.87/31.96  | 
% 194.87/31.96  | Case 1:
% 194.87/31.96  | | 
% 194.87/31.96  | |   (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 194.87/31.96  | |           e1)
% 194.87/31.96  | | 
% 194.87/31.96  | | BETA: splitting (13) gives:
% 194.87/31.96  | | 
% 194.87/31.96  | | Case 1:
% 194.87/31.96  | | | 
% 194.87/31.96  | | |   (14)  all_56_2 = e1 & op(e2, e3) = e1
% 194.87/31.96  | | | 
% 194.87/31.96  | | | ALPHA: (14) implies:
% 194.87/31.96  | | |   (15)  all_56_2 = e1
% 194.87/31.96  | | | 
% 194.87/31.96  | | | REF_CLOSE: (4), (11), (15) are inconsistent by sub-proof #1859.
% 194.87/31.96  | | | 
% 194.87/31.96  | | Case 2:
% 194.87/31.96  | | | 
% 194.87/31.96  | | |   (16)  all_56_3 = e1 & op(e2, e2) = e1
% 194.87/31.96  | | | 
% 194.87/31.96  | | | ALPHA: (16) implies:
% 194.87/31.96  | | |   (17)  op(e2, e2) = e1
% 194.87/31.96  | | | 
% 194.87/31.96  | | | REF_CLOSE: (2), (6), (10), (17) are inconsistent by sub-proof #1909.
% 194.87/31.96  | | | 
% 194.87/31.96  | | End of split
% 194.87/31.96  | | 
% 194.87/31.96  | Case 2:
% 194.87/31.96  | | 
% 194.87/31.97  | |   (18)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 194.87/31.97  | |           e1)
% 194.87/31.97  | | 
% 194.87/31.97  | | BETA: splitting (18) gives:
% 194.87/31.97  | | 
% 194.87/31.97  | | Case 1:
% 194.87/31.97  | | | 
% 194.87/31.97  | | |   (19)  all_56_5 = e1 & op(e2, e1) = e1
% 194.87/31.97  | | | 
% 194.87/31.97  | | | ALPHA: (19) implies:
% 194.87/31.97  | | |   (20)  all_56_5 = e1
% 194.87/31.97  | | | 
% 194.87/31.97  | | | REF_CLOSE: (3), (6), (20) are inconsistent by sub-proof #1842.
% 194.87/31.97  | | | 
% 194.87/31.97  | | Case 2:
% 194.87/31.97  | | | 
% 194.87/31.97  | | |   (21)  all_56_10 = e1 & op(e2, e0) = e1
% 194.87/31.97  | | | 
% 194.87/31.97  | | | ALPHA: (21) implies:
% 194.87/31.97  | | |   (22)  all_56_10 = e1
% 194.87/31.97  | | | 
% 194.87/31.97  | | | BETA: splitting (8) gives:
% 194.87/31.97  | | | 
% 194.87/31.97  | | | Case 1:
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | |   (23)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2)
% 194.87/31.97  | | | |           = e2)
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | | REF_CLOSE: (1), (2), (9), (10), (12), (23) are inconsistent by sub-proof
% 194.87/31.97  | | | |            #1415.
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | Case 2:
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | |   (24)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0)
% 194.87/31.97  | | | |           = e2)
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | | BETA: splitting (24) gives:
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | | Case 1:
% 194.87/31.97  | | | | | 
% 194.87/31.97  | | | | |   (25)  all_56_5 = e2 & op(e2, e1) = e2
% 194.87/31.97  | | | | | 
% 194.87/31.97  | | | | | ALPHA: (25) implies:
% 194.87/31.97  | | | | |   (26)  all_56_5 = e2
% 194.87/31.97  | | | | | 
% 194.87/31.97  | | | | | REF_CLOSE: (3), (12), (26) are inconsistent by sub-proof #1860.
% 194.87/31.97  | | | | | 
% 194.87/31.97  | | | | Case 2:
% 194.87/31.97  | | | | | 
% 194.87/31.97  | | | | |   (27)  all_56_10 = e2 & op(e2, e0) = e2
% 194.87/31.97  | | | | | 
% 194.87/31.97  | | | | | ALPHA: (27) implies:
% 194.87/31.97  | | | | |   (28)  all_56_10 = e2
% 194.87/31.97  | | | | | 
% 194.87/31.97  | | | | | REF_CLOSE: (7), (22), (28) are inconsistent by sub-proof #1197.
% 194.87/31.97  | | | | | 
% 194.87/31.97  | | | | End of split
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | End of split
% 194.87/31.97  | | | 
% 194.87/31.97  | | End of split
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #294 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (2)  op(e2, e2) = e1
% 194.87/31.97    (3)   ~ (all_52_7 = all_52_11)
% 194.87/31.97    (4)  op(e0, e2) = e0
% 194.87/31.97    (5)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.87/31.97             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.87/31.97           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 194.87/31.97           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.87/31.97             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.87/31.97           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.87/31.97           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.87/31.97    (6)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.87/31.97             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.87/31.97           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.87/31.97           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.87/31.97             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.87/31.97           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.87/31.97           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.87/31.97           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.87/31.97           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.87/31.97           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.87/31.97           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.87/31.97         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.87/31.97             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.87/31.97           $i(all_57_7))
% 194.87/31.97    (7)  op(e0, e1) = all_52_11
% 194.87/31.97    (8)  op(e1, e1) = e0
% 194.87/31.97    (9)   ~ (e2 = e1)
% 194.87/31.97    (10)   ~ (all_52_11 = e0)
% 194.87/31.97    (11)   ~ (e3 = e1)
% 194.87/31.97    (12)  op(e0, e2) = all_52_7
% 194.87/31.97    (13)   ~ (e2 = e0)
% 194.87/31.97    (14)   ~ (e3 = e0)
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | BETA: splitting (5) gives:
% 194.87/31.97  | 
% 194.87/31.97  | Case 1:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (15)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.87/31.97  | |           = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.87/31.97  | |         & $i(all_57_4)
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (15) implies:
% 194.87/31.97  | |   (16)  op(e1, e1) = e2
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (1), (8), (13), (16) are inconsistent by sub-proof #1821.
% 194.87/31.97  | | 
% 194.87/31.97  | Case 2:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (17)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.87/31.97  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.87/31.97  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.87/31.97  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 194.87/31.97  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.87/31.97  | | 
% 194.87/31.97  | | BETA: splitting (17) gives:
% 194.87/31.97  | | 
% 194.87/31.97  | | Case 1:
% 194.87/31.97  | | | 
% 194.87/31.97  | | |   (18)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.87/31.97  | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.87/31.97  | | |         op(e0, e1) = e0 & $i(all_57_6)
% 194.87/31.97  | | | 
% 194.87/31.97  | | | ALPHA: (18) implies:
% 194.87/31.97  | | |   (19)  op(e3, e3) = e1
% 194.87/31.97  | | | 
% 194.87/31.97  | | | REF_CLOSE: (1), (2), (6), (7), (8), (9), (10), (11), (13), (14), (19) are
% 194.87/31.97  | | |            inconsistent by sub-proof #1316.
% 194.87/31.97  | | | 
% 194.87/31.97  | | Case 2:
% 194.87/31.97  | | | 
% 194.87/31.97  | | |   (20)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.87/31.97  | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.87/31.97  | | |         op(e0, e1) = e0 & $i(all_57_7)
% 194.87/31.97  | | | 
% 194.87/31.97  | | | ALPHA: (20) implies:
% 194.87/31.97  | | |   (21)  op(e0, e1) = e0
% 194.87/31.97  | | | 
% 194.87/31.97  | | | REF_CLOSE: (1), (3), (4), (7), (12), (21) are inconsistent by sub-proof
% 194.87/31.97  | | |            #493.
% 194.87/31.97  | | | 
% 194.87/31.97  | | End of split
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #295 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)  all_54_2 = all_52_8
% 194.87/31.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (3)  op(e0, e1) = e1
% 194.87/31.97    (4)  op(e0, e1) = all_52_11
% 194.87/31.97    (5)   ~ (all_52_8 = e2)
% 194.87/31.97    (6)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 194.87/31.97    (7)   ~ (all_52_8 = all_52_11)
% 194.87/31.97    (8)   ~ (all_52_8 = e0)
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | BETA: splitting (6) gives:
% 194.87/31.97  | 
% 194.87/31.97  | Case 1:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (9)  all_54_2 = e2
% 194.87/31.97  | | 
% 194.87/31.97  | | COMBINE_EQS: (1), (9) imply:
% 194.87/31.97  | |   (10)  all_52_8 = e2
% 194.87/31.97  | | 
% 194.87/31.97  | | REDUCE: (5), (10) imply:
% 194.87/31.97  | |   (11)  $false
% 194.87/31.97  | | 
% 194.87/31.97  | | CLOSE: (11) is inconsistent.
% 194.87/31.97  | | 
% 194.87/31.97  | Case 2:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (12)  all_54_2 = e1 | all_54_2 = e0
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (12) are inconsistent by sub-proof
% 194.87/31.97  | |            #296.
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #296 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)  all_54_2 = all_52_8
% 194.87/31.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (3)  op(e0, e1) = e1
% 194.87/31.97    (4)  op(e0, e1) = all_52_11
% 194.87/31.97    (5)   ~ (all_52_8 = all_52_11)
% 194.87/31.97    (6)  all_54_2 = e1 | all_54_2 = e0
% 194.87/31.97    (7)   ~ (all_52_8 = e0)
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | BETA: splitting (6) gives:
% 194.87/31.97  | 
% 194.87/31.97  | Case 1:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (8)  all_54_2 = e1
% 194.87/31.97  | | 
% 194.87/31.97  | | COMBINE_EQS: (1), (8) imply:
% 194.87/31.97  | |   (9)  all_52_8 = e1
% 194.87/31.97  | | 
% 194.87/31.97  | | REDUCE: (5), (9) imply:
% 194.87/31.97  | |   (10)   ~ (all_52_11 = e1)
% 194.87/31.97  | | 
% 194.87/31.97  | | SIMP: (10) implies:
% 194.87/31.97  | |   (11)   ~ (all_52_11 = e1)
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (2), (3), (4), (11) are inconsistent by sub-proof #1885.
% 194.87/31.97  | | 
% 194.87/31.97  | Case 2:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (12)  all_54_2 = e0
% 194.87/31.97  | | 
% 194.87/31.97  | | COMBINE_EQS: (1), (12) imply:
% 194.87/31.97  | |   (13)  all_52_8 = e0
% 194.87/31.97  | | 
% 194.87/31.97  | | REDUCE: (7), (13) imply:
% 194.87/31.97  | |   (14)  $false
% 194.87/31.97  | | 
% 194.87/31.97  | | CLOSE: (14) is inconsistent.
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #297 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)  op(e3, e3) = e0
% 194.87/31.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (3)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.87/31.97           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.87/31.97           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.87/31.97                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.87/31.97               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.87/31.97               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.87/31.97           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.87/31.97             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.87/31.97               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.97           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.87/31.97               = all_57_4 & $i(all_57_4))))
% 194.87/31.97    (4)  op(e0, e2) = e0
% 194.87/31.97    (5)  op(e3, e2) = e3
% 194.87/31.97    (6)   ~ (e2 = e0)
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | BETA: splitting (3) gives:
% 194.87/31.97  | 
% 194.87/31.97  | Case 1:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (7)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.87/31.97  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.87/31.97  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.87/31.97  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 194.87/31.97  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.87/31.97  | |            all_57_13 & $i(all_57_13)))
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (7) implies:
% 194.87/31.97  | |   (8)  op(e0, e2) = e2
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #423.
% 194.87/31.97  | | 
% 194.87/31.97  | Case 2:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (9)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 194.87/31.97  | |        all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.87/31.97  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.87/31.97  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.87/31.97  | |            & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 194.87/31.97  | |            & $i(all_57_4)))
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (9) implies:
% 194.87/31.97  | |   (10)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.87/31.97  | |             e2) = all_57_3 & $i(all_57_3))
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (1), (2), (5), (6), (10) are inconsistent by sub-proof #396.
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #298 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)  op(e3, e3) = e0
% 194.87/31.97    (2)   ~ (e3 = e2)
% 194.87/31.97    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (4)  op(e0, e2) = e0
% 194.87/31.97    (5)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.87/31.97             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.87/31.97           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.87/31.97               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.87/31.97             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.87/31.97         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.87/31.97             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.97           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.87/31.97               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.87/31.97             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.87/31.97    (6)  op(e0, e0) = e3
% 194.87/31.97    (7)   ~ (e3 = e0)
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | BETA: splitting (5) gives:
% 194.87/31.97  | 
% 194.87/31.97  | Case 1:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (8)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 194.87/31.97  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.87/31.97  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.87/31.97  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.87/31.97  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.87/31.97  | |              e3) = all_57_2 & $i(all_57_2)))
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (8) implies:
% 194.87/31.97  | |   (9)  op(e3, e3) = e3
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (1), (3), (7), (9) are inconsistent by sub-proof #1961.
% 194.87/31.97  | | 
% 194.87/31.97  | Case 2:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (10)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 194.87/31.97  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.87/31.97  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.87/31.97  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.87/31.97  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.87/31.97  | |               e2) = all_57_5 & $i(all_57_5)))
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (10) implies:
% 194.87/31.97  | |   (11)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.87/31.97  | |             e2) = all_57_5 & $i(all_57_5))
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (2), (3), (4), (6), (11) are inconsistent by sub-proof #1028.
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #299 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (2)  op(e2, e2) = all_4_2
% 194.87/31.97    (3)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.87/31.97             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.87/31.97           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 194.87/31.97           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.87/31.97             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.87/31.97           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.87/31.97           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.87/31.97    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.87/31.97             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.87/31.97           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.87/31.97           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.87/31.97             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.87/31.97           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.87/31.97           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.87/31.97           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.87/31.97           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.87/31.97           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.87/31.97           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.87/31.97         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.87/31.97             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.87/31.97           $i(all_57_7))
% 194.87/31.97    (5)  op(e0, e1) = all_52_11
% 194.87/31.97    (6)  op(e1, e1) = e0
% 194.87/31.97    (7)   ~ (all_4_2 = e3)
% 194.87/31.97    (8)   ~ (e2 = e1)
% 194.87/31.97    (9)   ~ (all_52_11 = e0)
% 194.87/31.97    (10)  op(e2, e2) = e2
% 194.87/31.97    (11)   ~ (e2 = e0)
% 194.87/31.97    (12)   ~ (e3 = e0)
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | BETA: splitting (3) gives:
% 194.87/31.97  | 
% 194.87/31.97  | Case 1:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (13)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.87/31.97  | |           = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.87/31.97  | |         & $i(all_57_4)
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (13) implies:
% 194.87/31.97  | |   (14)  op(e1, e1) = e2
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (1), (6), (11), (14) are inconsistent by sub-proof #1821.
% 194.87/31.97  | | 
% 194.87/31.97  | Case 2:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (15)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.87/31.97  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.87/31.97  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.87/31.97  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 194.87/31.97  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (15)
% 194.87/31.97  | |            are inconsistent by sub-proof #774.
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #300 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)  op(e3, e3) = e0
% 194.87/31.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (3)  op(e0, e0) = all_57_15
% 194.87/31.97    (4)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.87/31.97             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.87/31.97           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 194.87/31.97           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 194.87/31.97             e2) = e0 & $i(all_57_3))
% 194.87/31.97    (5)  op(e0, e0) = e3
% 194.87/31.97    (6)   ~ (e2 = e0)
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | BETA: splitting (4) gives:
% 194.87/31.97  | 
% 194.87/31.97  | Case 1:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.87/31.97  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.87/31.97  | |        $i(all_57_1)
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (7) implies:
% 194.87/31.97  | |   (8)   ~ (all_57_15 = e3)
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1276.
% 194.87/31.97  | | 
% 194.87/31.97  | Case 2:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.87/31.97  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.87/31.97  | |        $i(all_57_3)
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (9) implies:
% 194.87/31.97  | |   (10)  op(e3, e3) = e2
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #833.
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #301 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 194.87/31.97             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.87/31.97           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.87/31.97         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 194.87/31.97             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.87/31.97           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.87/31.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (3)  op(e1, e1) = e0
% 194.87/31.97    (4)  op(e2, e0) = all_57_11
% 194.87/31.97    (5)   ~ (all_57_11 = e2)
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | BETA: splitting (1) gives:
% 194.87/31.97  | 
% 194.87/31.97  | Case 1:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (6)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 194.87/31.97  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.87/31.97  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (6) implies:
% 194.87/31.97  | |   (7)  op(e2, e0) = e2
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #433.
% 194.87/31.97  | | 
% 194.87/31.97  | Case 2:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (8)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 194.87/31.97  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.87/31.97  | |        all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (8) implies:
% 194.87/31.97  | |   (9)   ~ (all_57_14 = e0)
% 194.87/31.97  | |   (10)  op(e1, e1) = all_57_14
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (2), (3), (9), (10) are inconsistent by sub-proof #1636.
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #302 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)  op(e3, e3) = e0
% 194.87/31.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (3)  op(e0, e2) = e0
% 194.87/31.97    (4)  op(e1, e1) = e0
% 194.87/31.97    (5)   ~ (e2 = e1)
% 194.87/31.97    (6)  op(e2, e2) = e2
% 194.87/31.97    (7)   ~ (e2 = e0)
% 194.87/31.97    (8)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 194.87/31.97             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.87/31.97           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 194.87/31.97           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.87/31.97           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 194.87/31.97           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 194.87/31.97           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3)
% 194.87/31.97           = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 194.87/31.97           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 194.87/31.97           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 194.87/31.97           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.87/31.97           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 194.87/31.97            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 194.87/31.97             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | BETA: splitting (8) gives:
% 194.87/31.97  | 
% 194.87/31.97  | Case 1:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (9)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.87/31.97  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.87/31.97  | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.87/31.97  | |        (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.87/31.97  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.87/31.97  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (2), (3), (4), (7), (9) are inconsistent by sub-proof #1588.
% 194.87/31.97  | | 
% 194.87/31.97  | Case 2:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (10)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.87/31.97  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 194.87/31.97  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.87/31.97  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.87/31.97  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.87/31.97  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.87/31.97  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.87/31.97  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.87/31.97  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.87/31.97  | | 
% 194.87/31.97  | | BETA: splitting (10) gives:
% 194.87/31.97  | | 
% 194.87/31.97  | | Case 1:
% 194.87/31.97  | | | 
% 194.87/31.97  | | |   (11)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.87/31.97  | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.87/31.97  | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.87/31.97  | | |         $i(all_57_14)
% 194.87/31.97  | | | 
% 194.87/31.97  | | | ALPHA: (11) implies:
% 194.87/31.97  | | |   (12)  op(e3, e3) = e2
% 194.87/31.97  | | | 
% 194.87/31.97  | | | REF_CLOSE: (1), (2), (7), (12) are inconsistent by sub-proof #833.
% 194.87/31.97  | | | 
% 194.87/31.97  | | Case 2:
% 194.87/31.97  | | | 
% 194.87/31.97  | | |   (13)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.87/31.97  | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.87/31.97  | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.87/31.97  | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7
% 194.87/31.97  | | |             = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 194.87/31.97  | | |             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.87/31.97  | | |           $i(all_57_7) & $i(all_57_10))
% 194.87/31.97  | | | 
% 194.87/31.97  | | | BETA: splitting (13) gives:
% 194.87/31.97  | | | 
% 194.87/31.97  | | | Case 1:
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | |   (14)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.87/31.97  | | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.87/31.97  | | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.87/31.97  | | | |         $i(all_57_14)
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | | ALPHA: (14) implies:
% 194.87/31.97  | | | |   (15)   ~ (all_57_5 = e0)
% 194.87/31.97  | | | |   (16)  op(e0, e2) = all_57_5
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | | REF_CLOSE: (2), (3), (15), (16) are inconsistent by sub-proof #1589.
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | Case 2:
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | |   (17)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.87/31.97  | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.87/31.97  | | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.87/31.97  | | | |         $i(all_57_10)
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | | ALPHA: (17) implies:
% 194.87/31.97  | | | |   (18)  op(e2, e2) = e1
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | | REF_CLOSE: (2), (5), (6), (18) are inconsistent by sub-proof #1783.
% 194.87/31.97  | | | | 
% 194.87/31.97  | | | End of split
% 194.87/31.97  | | | 
% 194.87/31.97  | | End of split
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #303 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)  op(e1, e3) = all_52_2
% 194.87/31.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (3)  op(e1, e0) = all_52_14
% 194.87/31.97    (4)   ~ (all_52_2 = all_52_14)
% 194.87/31.97    (5)  op(e1, e3) = e1
% 194.87/31.97    (6)  op(e1, e0) = e1
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | GROUND_INST: instantiating (2) with all_52_14, e1, e0, e1, simplifying with
% 194.87/31.97  |              (3), (6) gives:
% 194.87/31.97  |   (7)  all_52_14 = e1
% 194.87/31.97  | 
% 194.87/31.97  | GROUND_INST: instantiating (2) with all_52_2, e1, e3, e1, simplifying with
% 194.87/31.97  |              (1), (5) gives:
% 194.87/31.97  |   (8)  all_52_2 = e1
% 194.87/31.97  | 
% 194.87/31.97  | REDUCE: (4), (7), (8) imply:
% 194.87/31.97  |   (9)  $false
% 194.87/31.97  | 
% 194.87/31.97  | CLOSE: (9) is inconsistent.
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #304 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)   ~ (e3 = e2)
% 194.87/31.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.97    (3)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.87/31.97           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.87/31.97           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.87/31.97                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.87/31.97               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.87/31.97               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.87/31.97           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.87/31.97             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.87/31.97               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.87/31.97           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.87/31.97               = all_57_4 & $i(all_57_4))))
% 194.87/31.97    (4)  op(e0, e2) = e0
% 194.87/31.97    (5)  op(e0, e0) = e3
% 194.87/31.97    (6)   ~ (e2 = e0)
% 194.87/31.97  
% 194.87/31.97  Begin of proof
% 194.87/31.97  | 
% 194.87/31.97  | BETA: splitting (3) gives:
% 194.87/31.97  | 
% 194.87/31.97  | Case 1:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (7)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.87/31.97  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.87/31.97  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.87/31.97  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 194.87/31.97  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.87/31.97  | |            all_57_13 & $i(all_57_13)))
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (7) implies:
% 194.87/31.97  | |   (8)  op(e0, e2) = e2
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #423.
% 194.87/31.97  | | 
% 194.87/31.97  | Case 2:
% 194.87/31.97  | | 
% 194.87/31.97  | |   (9)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 194.87/31.97  | |        all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.87/31.97  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.87/31.97  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.87/31.97  | |            & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 194.87/31.97  | |            & $i(all_57_4)))
% 194.87/31.97  | | 
% 194.87/31.97  | | ALPHA: (9) implies:
% 194.87/31.97  | |   (10)  op(e0, e0) = e2
% 194.87/31.97  | | 
% 194.87/31.97  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1692.
% 194.87/31.97  | | 
% 194.87/31.97  | End of split
% 194.87/31.97  | 
% 194.87/31.97  End of proof
% 194.87/31.97  
% 194.87/31.97  Sub-proof #305 shows that the following formulas are inconsistent:
% 194.87/31.97  ----------------------------------------------------------------
% 194.87/31.97    (1)  op(e3, e3) = e0
% 194.87/31.98    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.98    (3)  op(e3, e2) = all_52_4
% 194.87/31.98    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 194.87/31.98    (5)   ~ (e1 = e0)
% 194.87/31.98    (6)   ~ (all_52_4 = e1)
% 194.87/31.98  
% 194.87/31.98  Begin of proof
% 194.87/31.98  | 
% 194.87/31.98  | BETA: splitting (4) gives:
% 194.87/31.98  | 
% 194.87/31.98  | Case 1:
% 194.87/31.98  | | 
% 194.87/31.98  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 194.87/31.98  | | 
% 194.87/31.98  | | ALPHA: (7) implies:
% 194.87/31.98  | |   (8)  op(e3, e3) = e1
% 194.87/31.98  | | 
% 194.87/31.98  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1937.
% 194.87/31.98  | | 
% 194.87/31.98  | Case 2:
% 194.87/31.98  | | 
% 194.87/31.98  | |   (9)  all_56_1 = e1 & op(e3, e2) = e1
% 194.87/31.98  | | 
% 194.87/31.98  | | ALPHA: (9) implies:
% 194.87/31.98  | |   (10)  op(e3, e2) = e1
% 194.87/31.98  | | 
% 194.87/31.98  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1910.
% 194.87/31.98  | | 
% 194.87/31.98  | End of split
% 194.87/31.98  | 
% 194.87/31.98  End of proof
% 194.87/31.98  
% 194.87/31.98  Sub-proof #306 shows that the following formulas are inconsistent:
% 194.87/31.98  ----------------------------------------------------------------
% 194.87/31.98    (1)  op(e3, e3) = e0
% 194.87/31.98    (2)  op(e1, e1) = e1
% 194.87/31.98    (3)  op(e1, e3) = all_52_2
% 194.87/31.98    (4)  all_54_4 = all_52_1
% 194.87/31.98    (5)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.87/31.98         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.87/31.98    (6)  op(e1, e2) = all_52_6
% 194.87/31.98    (7)  op(e0, e0) = all_14_2
% 194.87/31.98    (8)   ~ (all_52_1 = e0)
% 194.87/31.98    (9)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 194.87/31.98           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 194.87/31.98             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 194.87/31.98    (10)   ~ (all_14_2 = e1)
% 194.87/31.98    (11)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.87/31.98          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.87/31.98    (12)   ~ (all_52_1 = all_52_9)
% 194.87/31.98    (13)   ~ (all_52_2 = e0)
% 194.87/31.98    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.87/31.98            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.87/31.98    (15)   ~ (all_52_9 = e1)
% 194.87/31.98    (16)   ~ (all_52_13 = all_14_2)
% 194.87/31.98    (17)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 194.87/31.98            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 194.87/31.98              e1) = all_24_1 & $i(all_24_1))
% 194.87/31.98    (18)  op(e3, e2) = all_52_4
% 194.87/31.98    (19)  op(e2, e2) = e1
% 194.87/31.98    (20)   ~ (all_52_12 = all_52_13)
% 194.87/31.98    (21)   ~ (all_52_7 = all_52_11)
% 194.87/31.98    (22)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.87/31.98          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.87/31.98    (23)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.87/31.98          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.87/31.98    (24)  all_48_2 = e3
% 194.87/31.98    (25)   ~ (all_52_3 = all_52_7)
% 194.87/31.98    (26)   ~ (all_52_4 = all_52_8)
% 194.87/31.98    (27)  all_54_13 = all_52_7
% 194.87/31.98    (28)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.87/31.98          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.87/31.98    (29)   ~ (all_52_4 = e0)
% 194.87/31.98    (30)  op(e0, e3) = all_52_3
% 194.87/31.98    (31)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.87/31.98    (32)  op(e2, e0) = all_52_13
% 194.87/31.98    (33)  op(e1, e0) = all_52_14
% 194.87/31.98    (34)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 194.87/31.98            all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0,
% 194.87/31.98              e3) = all_18_1 & $i(all_18_1))
% 194.87/31.98    (35)  all_54_8 = all_52_2
% 194.87/31.98    (36)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.87/31.98    (37)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.87/31.98          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.87/31.98    (38)   ~ (all_52_8 = all_52_9)
% 194.87/31.98    (39)   ~ (all_52_2 = all_52_14)
% 194.97/31.98    (40)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.97/31.98              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.97/31.98            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.97/31.98            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.97/31.98            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/31.98            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.97/31.98            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.97/31.98            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.97/31.98            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.97/31.98            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.97/31.98            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/31.98            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.97/31.98            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/31.98            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/31.98            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.97/31.98            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/31.98            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/31.98            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.97/31.98            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/31.98            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.97/31.98            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.97/31.98            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/31.98            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/31.98            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.97/31.98            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/31.98            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/31.98            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/31.98            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/31.98            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/31.98            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.97/31.98            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/31.98            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.97/31.98            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/31.98            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/31.98            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/31.98            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.97/31.98            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/31.98            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/31.98            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.97/31.98            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/31.98            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.97/31.98            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.97/31.98            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/31.98            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.97/31.98            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.97/31.98            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/31.98            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/31.98            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/31.98              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.97/31.98            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/31.98            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/31.98              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.97/31.98            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/31.98            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.97/31.98                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.97/31.98                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/31.98                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/31.98                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/31.98                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.97/31.98                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.97/31.98                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/31.98              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/31.98                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.97/31.98                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/31.98                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/31.98                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.97/31.98                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/31.98                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/31.98                $i(all_57_7))))
% 194.97/31.98    (41)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.97/31.98          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.97/31.98    (42)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.97/31.98          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.97/31.98    (43)   ~ (all_52_12 = all_52_14)
% 194.97/31.98    (44)   ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 194.97/31.98            op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 =
% 194.97/31.98              e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 194.97/31.98    (45)   ~ (all_52_12 = e0)
% 194.97/31.98    (46)  all_56_9 = e1
% 194.97/31.98    (47)  op(e0, e1) = all_52_11
% 194.97/31.98    (48)  op(e3, e0) = e1
% 194.97/31.98    (49)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/31.98          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.97/31.98    (50)   ~ (all_52_8 = all_52_12)
% 194.97/31.98    (51)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.97/31.98    (52)  all_54_15 = all_14_2
% 194.97/31.98    (53)  all_54_11 = all_52_14
% 194.97/31.98    (54)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.97/31.98          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.97/31.98    (55)   ~ (all_52_1 = all_52_13)
% 194.97/31.98    (56)   ~ (all_52_11 = all_14_2)
% 194.97/31.98    (57)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.97/31.98    (58)   ~ (all_52_8 = all_52_11)
% 194.97/31.98    (59)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.97/31.98          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.97/31.98    (60)   ~ (all_52_7 = all_14_2)
% 194.97/31.98    (61)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.97/31.98          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.97/31.98    (62)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/31.98    (63)   ~ (all_52_13 = all_52_14)
% 194.97/31.98    (64)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/31.98    (65)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/31.98              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.97/31.98                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.97/31.98                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.97/31.98    (66)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/31.98          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/31.98    (67)  all_54_14 = all_52_11
% 194.97/31.98    (68)   ~ (all_52_3 = e0)
% 194.97/31.98    (69)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.97/31.98          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/31.98    (70)  op(e0, e3) = e1
% 194.97/31.98    (71)  op(e3, e0) = all_52_12
% 194.97/31.98    (72)   ~ (all_52_2 = all_52_3)
% 194.97/31.98    (73)  all_44_2 = e1
% 194.97/31.98    (74)  op(e2, e1) = all_52_9
% 194.97/31.98    (75)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.97/31.98            $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.97/31.98            & $i(all_8_1))
% 194.97/31.98    (76)   ~ (all_52_1 = all_52_2)
% 194.97/31.98    (77)   ~ (all_52_1 = all_52_3)
% 194.97/31.98    (78)  op(e3, e1) = all_52_8
% 194.97/31.98    (79)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.97/31.98          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.97/31.98    (80)   ~ (all_52_6 = e1)
% 194.97/31.98    (81)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.97/31.98          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.97/31.98    (82)  op(e0, e2) = all_52_7
% 194.97/31.98    (83)  op(e2, e3) = all_52_1
% 194.97/31.98    (84)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 194.97/31.98            $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 194.97/31.98            & $i(all_6_1))
% 194.97/31.98    (85)   ~ (all_52_3 = all_52_11)
% 194.97/31.98    (86)   ~ (all_52_9 = all_52_11)
% 194.97/31.98  
% 194.97/31.98  Begin of proof
% 194.97/31.98  | 
% 194.97/31.98  | GROUND_INST: instantiating (14) with all_52_3, e1, e3, e0, simplifying with
% 194.97/31.98  |              (30), (70) gives:
% 194.97/31.98  |   (87)  all_52_3 = e1
% 194.97/31.98  | 
% 194.97/31.98  | GROUND_INST: instantiating (14) with all_52_12, e1, e0, e3, simplifying with
% 194.97/31.98  |              (48), (71) gives:
% 194.97/31.98  |   (88)  all_52_12 = e1
% 194.97/31.98  | 
% 194.97/31.98  | REDUCE: (77), (87) imply:
% 194.97/31.98  |   (89)   ~ (all_52_1 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | REDUCE: (72), (87) imply:
% 194.97/31.98  |   (90)   ~ (all_52_2 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | REDUCE: (25), (87) imply:
% 194.97/31.98  |   (91)   ~ (all_52_7 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | SIMP: (91) implies:
% 194.97/31.98  |   (92)   ~ (all_52_7 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | REDUCE: (85), (87) imply:
% 194.97/31.98  |   (93)   ~ (all_52_11 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | SIMP: (93) implies:
% 194.97/31.98  |   (94)   ~ (all_52_11 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | REDUCE: (50), (88) imply:
% 194.97/31.98  |   (95)   ~ (all_52_8 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | REDUCE: (20), (88) imply:
% 194.97/31.98  |   (96)   ~ (all_52_13 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | SIMP: (96) implies:
% 194.97/31.98  |   (97)   ~ (all_52_13 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | REDUCE: (43), (88) imply:
% 194.97/31.98  |   (98)   ~ (all_52_14 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | SIMP: (98) implies:
% 194.97/31.98  |   (99)   ~ (all_52_14 = e1)
% 194.97/31.98  | 
% 194.97/31.98  | REDUCE: (45), (88) imply:
% 194.97/31.98  |   (100)   ~ (e1 = e0)
% 194.97/31.98  | 
% 194.97/31.98  | BETA: splitting (84) gives:
% 194.97/31.98  | 
% 194.97/31.98  | Case 1:
% 194.97/31.98  | | 
% 194.97/31.98  | |   (101)   ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) =
% 194.97/31.98  | |          all_6_1 & $i(all_6_0) & $i(all_6_1)
% 194.97/31.98  | | 
% 194.97/31.98  | | ALPHA: (101) implies:
% 194.97/31.98  | |   (102)  op(e3, e0) = all_6_1
% 194.97/31.98  | | 
% 194.97/31.98  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 194.97/31.98  | |            (13), (14), (15), (16), (17), (18), (19), (21), (22), (23), (24),
% 194.97/31.98  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 194.97/31.98  | |            (37), (38), (39), (40), (41), (42), (44), (46), (47), (48), (49),
% 194.97/31.98  | |            (51), (52), (53), (54), (55), (56), (57), (58), (59), (60), (61),
% 194.97/31.98  | |            (62), (63), (64), (65), (66), (67), (68), (69), (70), (73), (74),
% 194.97/31.98  | |            (75), (76), (78), (79), (80), (81), (82), (83), (86), (89), (90),
% 194.97/31.98  | |            (92), (94), (95), (97), (99), (100), (102) are inconsistent by
% 194.97/31.98  | |            sub-proof #307.
% 194.97/31.98  | | 
% 194.97/31.98  | Case 2:
% 194.97/31.98  | | 
% 194.97/31.98  | |   (103)   ~ (all_6_1 = e2) & op(e3, e0) = all_6_1 & $i(all_6_1)
% 194.97/31.98  | | 
% 194.97/31.98  | | ALPHA: (103) implies:
% 194.97/31.98  | |   (104)  op(e3, e0) = all_6_1
% 194.97/31.98  | | 
% 194.97/31.98  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 194.97/31.98  | |            (13), (14), (15), (16), (17), (18), (19), (21), (22), (23), (24),
% 194.97/31.98  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 194.97/31.98  | |            (37), (38), (39), (40), (41), (42), (44), (46), (47), (48), (49),
% 194.97/31.98  | |            (51), (52), (53), (54), (55), (56), (57), (58), (59), (60), (61),
% 194.97/31.98  | |            (62), (63), (64), (65), (66), (67), (68), (69), (70), (73), (74),
% 194.97/31.98  | |            (75), (76), (78), (79), (80), (81), (82), (83), (86), (89), (90),
% 194.97/31.98  | |            (92), (94), (95), (97), (99), (100), (104) are inconsistent by
% 194.97/31.98  | |            sub-proof #307.
% 194.97/31.98  | | 
% 194.97/31.98  | End of split
% 194.97/31.98  | 
% 194.97/31.98  End of proof
% 194.97/31.98  
% 194.97/31.98  Sub-proof #307 shows that the following formulas are inconsistent:
% 194.97/31.98  ----------------------------------------------------------------
% 194.97/31.98    (1)  op(e3, e3) = e0
% 194.97/31.98    (2)  op(e1, e1) = e1
% 194.97/31.98    (3)  op(e1, e3) = all_52_2
% 194.97/31.98    (4)  all_54_4 = all_52_1
% 194.97/31.98    (5)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/31.98         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.97/31.98    (6)  op(e1, e2) = all_52_6
% 194.97/31.98    (7)  op(e0, e0) = all_14_2
% 194.97/31.98    (8)   ~ (all_52_1 = e0)
% 194.97/31.98    (9)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 194.97/31.98           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 194.97/31.98             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 194.97/31.98    (10)   ~ (all_14_2 = e1)
% 194.97/31.98    (11)   ~ (all_52_11 = e1)
% 194.97/31.98    (12)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/31.98          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/31.98    (13)   ~ (all_52_1 = all_52_9)
% 194.97/31.98    (14)   ~ (all_52_2 = e0)
% 194.97/31.98    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/31.98            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/31.98    (16)   ~ (all_52_9 = e1)
% 194.97/31.98    (17)   ~ (all_52_13 = all_14_2)
% 194.97/31.98    (18)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 194.97/31.98            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 194.97/31.98              e1) = all_24_1 & $i(all_24_1))
% 194.97/31.98    (19)  op(e3, e2) = all_52_4
% 194.97/31.98    (20)  op(e2, e2) = e1
% 194.97/31.98    (21)   ~ (all_52_7 = all_52_11)
% 194.97/31.98    (22)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/31.98          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/31.98    (23)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/31.98          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/31.98    (24)  all_48_2 = e3
% 194.97/31.98    (25)   ~ (all_52_4 = all_52_8)
% 194.97/31.98    (26)  all_54_13 = all_52_7
% 194.97/31.98    (27)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.97/31.98          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.97/31.98    (28)   ~ (all_52_4 = e0)
% 194.97/31.98    (29)  op(e0, e3) = all_52_3
% 194.97/31.98    (30)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.97/31.98    (31)  op(e2, e0) = all_52_13
% 194.97/31.98    (32)  op(e1, e0) = all_52_14
% 194.97/31.98    (33)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 194.97/31.98            all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0,
% 194.97/31.98              e3) = all_18_1 & $i(all_18_1))
% 194.97/31.98    (34)  all_54_8 = all_52_2
% 194.97/31.98    (35)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.97/31.98    (36)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/31.98          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/31.98    (37)   ~ (all_52_8 = all_52_9)
% 194.97/31.98    (38)   ~ (all_52_13 = e1)
% 194.97/31.98    (39)   ~ (all_52_2 = all_52_14)
% 194.97/31.98    (40)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.97/31.98              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.97/31.98            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.97/31.98            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.97/31.98            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/31.98            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.97/31.98            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.97/31.98            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.97/31.98            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.97/31.98            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.97/31.98            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/31.98            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.97/31.98            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/31.98            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/31.98            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.97/31.98            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/31.98            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/31.98            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.97/31.98            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/31.98            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.97/31.98            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.97/31.98            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/31.98            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/31.98            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.97/31.98            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/31.98            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/31.98            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/31.98            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/31.98            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/31.98            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.97/31.98            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/31.98            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.97/31.98            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/31.98            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/31.98            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/31.98            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.97/31.98            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/31.98            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/31.98            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.97/31.98            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/31.98            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.97/31.98            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.97/31.98            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/31.98            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.97/31.98            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.97/31.98            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/31.98            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/31.98            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/31.98              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.97/31.98            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/31.98            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/31.98              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.97/31.98            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/31.98            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.97/31.98                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.97/31.98                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/31.98                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/31.98                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/31.98                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.97/31.98                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.97/31.98                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/31.98              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/31.98                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.97/31.98                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/31.98                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/31.98                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.97/31.98                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/31.98                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/31.98                $i(all_57_7))))
% 194.97/31.98    (41)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.97/31.98          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.97/31.98    (42)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.97/31.98          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.97/31.98    (43)   ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 194.97/31.98            op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 =
% 194.97/31.98              e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 194.97/31.98    (44)   ~ (all_52_8 = e1)
% 194.97/31.98    (45)   ~ (all_52_7 = e1)
% 194.97/31.98    (46)  all_56_9 = e1
% 194.97/31.98    (47)  op(e0, e1) = all_52_11
% 194.97/31.98    (48)   ~ (all_52_14 = e1)
% 194.97/31.98    (49)  op(e3, e0) = e1
% 194.97/31.98    (50)   ~ (all_52_1 = e1)
% 194.97/31.98    (51)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/31.98          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.97/31.98    (52)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.97/31.99    (53)  all_54_15 = all_14_2
% 194.97/31.99    (54)  all_54_11 = all_52_14
% 194.97/31.99    (55)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.97/31.99          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.97/31.99    (56)   ~ (e1 = e0)
% 194.97/31.99    (57)   ~ (all_52_1 = all_52_13)
% 194.97/31.99    (58)   ~ (all_52_11 = all_14_2)
% 194.97/31.99    (59)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.97/31.99    (60)   ~ (all_52_8 = all_52_11)
% 194.97/31.99    (61)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.97/31.99          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.97/31.99    (62)   ~ (all_52_7 = all_14_2)
% 194.97/31.99    (63)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.97/31.99          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.97/31.99    (64)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/31.99    (65)   ~ (all_52_13 = all_52_14)
% 194.97/31.99    (66)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/31.99    (67)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/31.99              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.97/31.99                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.97/31.99                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.97/31.99    (68)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/31.99          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/31.99    (69)  all_54_14 = all_52_11
% 194.97/31.99    (70)   ~ (all_52_3 = e0)
% 194.97/31.99    (71)  op(e3, e0) = all_6_1
% 194.97/31.99    (72)   ~ (all_52_2 = e1)
% 194.97/31.99    (73)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.97/31.99          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/31.99    (74)  op(e0, e3) = e1
% 194.97/31.99    (75)  all_44_2 = e1
% 194.97/31.99    (76)  op(e2, e1) = all_52_9
% 194.97/31.99    (77)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.97/31.99            $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.97/31.99            & $i(all_8_1))
% 194.97/31.99    (78)   ~ (all_52_1 = all_52_2)
% 194.97/31.99    (79)  op(e3, e1) = all_52_8
% 194.97/31.99    (80)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.97/31.99          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.97/31.99    (81)   ~ (all_52_6 = e1)
% 194.97/31.99    (82)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.97/31.99          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.97/31.99    (83)  op(e0, e2) = all_52_7
% 194.97/31.99    (84)  op(e2, e3) = all_52_1
% 194.97/31.99    (85)   ~ (all_52_9 = all_52_11)
% 194.97/31.99  
% 194.97/31.99  Begin of proof
% 194.97/31.99  | 
% 194.97/31.99  | BETA: splitting (43) gives:
% 194.97/31.99  | 
% 194.97/31.99  | Case 1:
% 194.97/31.99  | | 
% 194.97/31.99  | |   (86)   ~ (all_48_2 = e3)
% 194.97/31.99  | | 
% 194.97/31.99  | | REDUCE: (24), (86) imply:
% 194.97/31.99  | |   (87)  $false
% 194.97/31.99  | | 
% 194.97/31.99  | | CLOSE: (87) is inconsistent.
% 194.97/31.99  | | 
% 194.97/31.99  | Case 2:
% 194.97/31.99  | | 
% 194.97/31.99  | |   (88)  ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 & op(e0, e3) =
% 194.97/31.99  | |           all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 = e1) &
% 194.97/31.99  | |           op(e0, e3) = all_48_1 & $i(all_48_1))
% 194.97/31.99  | | 
% 194.97/31.99  | | BETA: splitting (88) gives:
% 194.97/31.99  | | 
% 194.97/31.99  | | Case 1:
% 194.97/31.99  | | | 
% 194.97/31.99  | | |   (89)   ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 & op(e0, e3) =
% 194.97/31.99  | | |         all_48_1 & $i(all_48_0) & $i(all_48_1)
% 194.97/31.99  | | | 
% 194.97/31.99  | | | ALPHA: (89) implies:
% 194.97/31.99  | | |   (90)   ~ (all_48_0 = e2)
% 194.97/31.99  | | |   (91)  op(e0, e3) = all_48_1
% 194.97/31.99  | | |   (92)  op(all_48_1, e0) = all_48_0
% 194.97/31.99  | | | 
% 194.97/31.99  | | | BETA: splitting (77) gives:
% 194.97/31.99  | | | 
% 194.97/31.99  | | | Case 1:
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | |   (93)   ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) =
% 194.97/31.99  | | | |         all_8_1 & $i(all_8_0) & $i(all_8_1)
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | ALPHA: (93) implies:
% 194.97/31.99  | | | |   (94)   ~ (all_8_0 = e2)
% 194.97/31.99  | | | |   (95)  op(e3, e0) = all_8_1
% 194.97/31.99  | | | |   (96)  op(all_8_1, e3) = all_8_0
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | BETA: splitting (33) gives:
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | Case 1:
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | |   (97)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3)
% 194.97/31.99  | | | | |         = all_18_1 & $i(all_18_0) & $i(all_18_1)
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | | ALPHA: (97) implies:
% 194.97/31.99  | | | | |   (98)  op(e0, e3) = all_18_1
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 194.97/31.99  | | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 194.97/31.99  | | | | |            (22), (23), (25), (26), (27), (28), (29), (30), (31), (32),
% 194.97/31.99  | | | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (44),
% 194.97/31.99  | | | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 194.97/31.99  | | | | |            (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 194.97/31.99  | | | | |            (65), (66), (67), (68), (69), (70), (71), (72), (73), (74),
% 194.97/31.99  | | | | |            (75), (76), (78), (79), (80), (81), (82), (83), (84), (85),
% 194.97/31.99  | | | | |            (90), (91), (92), (94), (95), (96), (98) are inconsistent
% 194.97/31.99  | | | | |            by sub-proof #308.
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | Case 2:
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | |   (99)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 & $i(all_18_1)
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | | ALPHA: (99) implies:
% 194.97/31.99  | | | | |   (100)  op(e0, e3) = all_18_1
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 194.97/31.99  | | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 194.97/31.99  | | | | |            (22), (23), (25), (26), (27), (28), (29), (30), (31), (32),
% 194.97/31.99  | | | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (44),
% 194.97/31.99  | | | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 194.97/31.99  | | | | |            (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 194.97/31.99  | | | | |            (65), (66), (67), (68), (69), (70), (71), (72), (73), (74),
% 194.97/31.99  | | | | |            (75), (76), (78), (79), (80), (81), (82), (83), (84), (85),
% 194.97/31.99  | | | | |            (90), (91), (92), (94), (95), (96), (100) are inconsistent
% 194.97/31.99  | | | | |            by sub-proof #308.
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | End of split
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | Case 2:
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | |   (101)   ~ (all_8_1 = e1) & op(e3, e0) = all_8_1 & $i(all_8_1)
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | ALPHA: (101) implies:
% 194.97/31.99  | | | |   (102)   ~ (all_8_1 = e1)
% 194.97/31.99  | | | |   (103)  op(e3, e0) = all_8_1
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | REF_CLOSE: (15), (49), (102), (103) are inconsistent by sub-proof #371.
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | End of split
% 194.97/31.99  | | | 
% 194.97/31.99  | | Case 2:
% 194.97/31.99  | | | 
% 194.97/31.99  | | |   (104)   ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 & $i(all_48_1)
% 194.97/31.99  | | | 
% 194.97/31.99  | | | ALPHA: (104) implies:
% 194.97/31.99  | | |   (105)   ~ (all_48_1 = e1)
% 194.97/31.99  | | |   (106)  op(e0, e3) = all_48_1
% 194.97/31.99  | | | 
% 194.97/31.99  | | | REF_CLOSE: (15), (33), (74), (105), (106) are inconsistent by sub-proof
% 194.97/31.99  | | |            #1035.
% 194.97/31.99  | | | 
% 194.97/31.99  | | End of split
% 194.97/31.99  | | 
% 194.97/31.99  | End of split
% 194.97/31.99  | 
% 194.97/31.99  End of proof
% 194.97/31.99  
% 194.97/31.99  Sub-proof #308 shows that the following formulas are inconsistent:
% 194.97/31.99  ----------------------------------------------------------------
% 194.97/31.99    (1)  op(e3, e3) = e0
% 194.97/31.99    (2)  op(e1, e1) = e1
% 194.97/31.99    (3)  op(e1, e3) = all_52_2
% 194.97/31.99    (4)  all_54_4 = all_52_1
% 194.97/31.99    (5)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/31.99         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.97/31.99    (6)  op(e1, e2) = all_52_6
% 194.97/31.99    (7)  op(e0, e0) = all_14_2
% 194.97/31.99    (8)   ~ (all_52_1 = e0)
% 194.97/31.99    (9)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 194.97/31.99           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 194.97/31.99             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 194.97/31.99    (10)   ~ (all_14_2 = e1)
% 194.97/31.99    (11)   ~ (all_52_11 = e1)
% 194.97/31.99    (12)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/31.99          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/31.99    (13)   ~ (all_52_1 = all_52_9)
% 194.97/31.99    (14)   ~ (all_52_2 = e0)
% 194.97/31.99    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/31.99            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/31.99    (16)   ~ (all_52_9 = e1)
% 194.97/31.99    (17)   ~ (all_52_13 = all_14_2)
% 194.97/31.99    (18)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 194.97/31.99            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 194.97/31.99              e1) = all_24_1 & $i(all_24_1))
% 194.97/31.99    (19)  op(e3, e2) = all_52_4
% 194.97/31.99    (20)  op(e2, e2) = e1
% 194.97/31.99    (21)   ~ (all_48_0 = e2)
% 194.97/31.99    (22)   ~ (all_52_7 = all_52_11)
% 194.97/31.99    (23)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/31.99          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/31.99    (24)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/31.99          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/31.99    (25)   ~ (all_52_4 = all_52_8)
% 194.97/31.99    (26)  all_54_13 = all_52_7
% 194.97/31.99    (27)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.97/31.99          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.97/31.99    (28)  op(e3, e0) = all_8_1
% 194.97/31.99    (29)   ~ (all_52_4 = e0)
% 194.97/31.99    (30)  op(e0, e3) = all_52_3
% 194.97/31.99    (31)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.97/31.99    (32)  op(e2, e0) = all_52_13
% 194.97/31.99    (33)  op(e1, e0) = all_52_14
% 194.97/31.99    (34)  all_54_8 = all_52_2
% 194.97/31.99    (35)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.97/31.99    (36)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/31.99          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/31.99    (37)   ~ (all_52_8 = all_52_9)
% 194.97/31.99    (38)   ~ (all_52_13 = e1)
% 194.97/31.99    (39)   ~ (all_8_0 = e2)
% 194.97/31.99    (40)   ~ (all_52_2 = all_52_14)
% 194.97/31.99    (41)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.97/31.99              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.97/31.99            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.97/31.99            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.97/31.99            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/31.99            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.97/31.99            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.97/31.99            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.97/31.99            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.97/31.99            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.97/31.99            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/31.99            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.97/31.99            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/31.99            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/31.99            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.97/31.99            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/31.99            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/31.99            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.97/31.99            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/31.99            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.97/31.99            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.97/31.99            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/31.99            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/31.99            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.97/31.99            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/31.99            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/31.99            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/31.99            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/31.99            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/31.99            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.97/31.99            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/31.99            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.97/31.99            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/31.99            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/31.99            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/31.99            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.97/31.99            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/31.99            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/31.99            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.97/31.99            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/31.99            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.97/31.99            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.97/31.99            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/31.99            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.97/31.99            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.97/31.99            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/31.99            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/31.99            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/31.99              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.97/31.99            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/31.99            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/31.99              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.97/31.99            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/31.99            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.97/31.99                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.97/31.99                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/31.99                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/31.99                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/31.99                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.97/31.99                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.97/31.99                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/31.99              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/31.99                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.97/31.99                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/31.99                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/31.99                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.97/31.99                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/31.99                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/31.99                $i(all_57_7))))
% 194.97/31.99    (42)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.97/31.99          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.97/31.99    (43)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.97/31.99          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.97/31.99    (44)   ~ (all_52_8 = e1)
% 194.97/31.99    (45)   ~ (all_52_7 = e1)
% 194.97/31.99    (46)  all_56_9 = e1
% 194.97/31.99    (47)  op(e0, e1) = all_52_11
% 194.97/31.99    (48)   ~ (all_52_14 = e1)
% 194.97/31.99    (49)  op(e3, e0) = e1
% 194.97/31.99    (50)   ~ (all_52_1 = e1)
% 194.97/31.99    (51)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/31.99          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.97/31.99    (52)  op(e0, e3) = all_18_1
% 194.97/31.99    (53)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.97/31.99    (54)  all_54_15 = all_14_2
% 194.97/31.99    (55)  all_54_11 = all_52_14
% 194.97/31.99    (56)  op(e0, e3) = all_48_1
% 194.97/31.99    (57)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.97/31.99          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.97/31.99    (58)   ~ (e1 = e0)
% 194.97/31.99    (59)   ~ (all_52_1 = all_52_13)
% 194.97/31.99    (60)   ~ (all_52_11 = all_14_2)
% 194.97/31.99    (61)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.97/31.99    (62)   ~ (all_52_8 = all_52_11)
% 194.97/31.99    (63)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.97/31.99          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.97/31.99    (64)   ~ (all_52_7 = all_14_2)
% 194.97/31.99    (65)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.97/31.99          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.97/31.99    (66)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/31.99    (67)   ~ (all_52_13 = all_52_14)
% 194.97/31.99    (68)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/31.99    (69)  op(all_48_1, e0) = all_48_0
% 194.97/31.99    (70)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/31.99              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.97/31.99                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.97/31.99                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.97/31.99    (71)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/31.99          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/31.99    (72)  all_54_14 = all_52_11
% 194.97/31.99    (73)   ~ (all_52_3 = e0)
% 194.97/31.99    (74)  op(e3, e0) = all_6_1
% 194.97/31.99    (75)   ~ (all_52_2 = e1)
% 194.97/31.99    (76)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.97/31.99          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/31.99    (77)  op(e0, e3) = e1
% 194.97/31.99    (78)  all_44_2 = e1
% 194.97/31.99    (79)  op(e2, e1) = all_52_9
% 194.97/31.99    (80)   ~ (all_52_1 = all_52_2)
% 194.97/31.99    (81)  op(e3, e1) = all_52_8
% 194.97/31.99    (82)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.97/31.99          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.97/31.99    (83)   ~ (all_52_6 = e1)
% 194.97/31.99    (84)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.97/31.99          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.97/31.99    (85)  op(e0, e2) = all_52_7
% 194.97/31.99    (86)  op(e2, e3) = all_52_1
% 194.97/31.99    (87)  op(all_8_1, e3) = all_8_0
% 194.97/31.99    (88)   ~ (all_52_9 = all_52_11)
% 194.97/31.99  
% 194.97/31.99  Begin of proof
% 194.97/31.99  | 
% 194.97/31.99  | GROUND_INST: instantiating (15) with e1, all_48_1, e3, e0, simplifying with
% 194.97/31.99  |              (56), (77) gives:
% 194.97/31.99  |   (89)  all_48_1 = e1
% 194.97/31.99  | 
% 194.97/31.99  | GROUND_INST: instantiating (15) with all_18_1, all_48_1, e3, e0, simplifying
% 194.97/31.99  |              with (52), (56) gives:
% 194.97/31.99  |   (90)  all_48_1 = all_18_1
% 194.97/31.99  | 
% 194.97/31.99  | GROUND_INST: instantiating (15) with e1, all_8_1, e0, e3, simplifying with
% 194.97/31.99  |              (28), (49) gives:
% 194.97/31.99  |   (91)  all_8_1 = e1
% 194.97/31.99  | 
% 194.97/31.99  | GROUND_INST: instantiating (15) with all_6_1, all_8_1, e0, e3, simplifying
% 194.97/31.99  |              with (28), (74) gives:
% 194.97/31.99  |   (92)  all_8_1 = all_6_1
% 194.97/31.99  | 
% 194.97/31.99  | COMBINE_EQS: (89), (90) imply:
% 194.97/31.99  |   (93)  all_18_1 = e1
% 194.97/31.99  | 
% 194.97/31.99  | COMBINE_EQS: (91), (92) imply:
% 194.97/31.99  |   (94)  all_6_1 = e1
% 194.97/31.99  | 
% 194.97/31.99  | REDUCE: (69), (89) imply:
% 194.97/31.99  |   (95)  op(e1, e0) = all_48_0
% 194.97/31.99  | 
% 194.97/31.99  | REDUCE: (87), (91) imply:
% 194.97/31.99  |   (96)  op(e1, e3) = all_8_0
% 194.97/31.99  | 
% 194.97/31.99  | GROUND_INST: instantiating (15) with all_52_14, all_48_0, e0, e1, simplifying
% 194.97/31.99  |              with (33), (95) gives:
% 194.97/31.99  |   (97)  all_52_14 = all_48_0
% 194.97/31.99  | 
% 194.97/31.99  | GROUND_INST: instantiating (15) with all_52_2, all_8_0, e3, e1, simplifying
% 194.97/31.99  |              with (3), (96) gives:
% 194.97/31.99  |   (98)  all_52_2 = all_8_0
% 194.97/31.99  | 
% 194.97/31.99  | COMBINE_EQS: (55), (97) imply:
% 194.97/31.99  |   (99)  all_54_11 = all_48_0
% 194.97/31.99  | 
% 194.97/31.99  | COMBINE_EQS: (34), (98) imply:
% 194.97/31.99  |   (100)  all_54_8 = all_8_0
% 194.97/31.99  | 
% 194.97/31.99  | REDUCE: (80), (98) imply:
% 194.97/31.99  |   (101)   ~ (all_52_1 = all_8_0)
% 194.97/31.99  | 
% 194.97/31.99  | REDUCE: (40), (97), (98) imply:
% 194.97/31.99  |   (102)   ~ (all_48_0 = all_8_0)
% 194.97/31.99  | 
% 194.97/31.99  | SIMP: (102) implies:
% 194.97/31.99  |   (103)   ~ (all_48_0 = all_8_0)
% 194.97/31.99  | 
% 194.97/31.99  | REDUCE: (75), (98) imply:
% 194.97/31.99  |   (104)   ~ (all_8_0 = e1)
% 194.97/31.99  | 
% 194.97/31.99  | REDUCE: (14), (98) imply:
% 194.97/31.99  |   (105)   ~ (all_8_0 = e0)
% 194.97/31.99  | 
% 194.97/31.99  | BETA: splitting (53) gives:
% 194.97/31.99  | 
% 194.97/31.99  | Case 1:
% 194.97/31.99  | | 
% 194.97/31.99  | |   (106)  all_54_8 = e3
% 194.97/31.99  | | 
% 194.97/31.99  | | COMBINE_EQS: (100), (106) imply:
% 194.97/31.99  | |   (107)  all_8_0 = e3
% 194.97/31.99  | | 
% 194.97/31.99  | | SIMP: (107) implies:
% 194.97/31.99  | |   (108)  all_8_0 = e3
% 194.97/31.99  | | 
% 194.97/31.99  | | REDUCE: (101), (108) imply:
% 194.97/31.99  | |   (109)   ~ (all_52_1 = e3)
% 194.97/31.99  | | 
% 194.97/31.99  | | REDUCE: (103), (108) imply:
% 194.97/31.99  | |   (110)   ~ (all_48_0 = e3)
% 194.97/31.99  | | 
% 194.97/31.99  | | REDUCE: (104), (108) imply:
% 194.97/31.99  | |   (111)   ~ (e3 = e1)
% 194.97/31.99  | | 
% 194.97/31.99  | | REDUCE: (105), (108) imply:
% 194.97/31.99  | |   (112)   ~ (e3 = e0)
% 194.97/31.99  | | 
% 194.97/31.99  | | BETA: splitting (61) gives:
% 194.97/31.99  | | 
% 194.97/31.99  | | Case 1:
% 194.97/31.99  | | | 
% 194.97/31.99  | | |   (113)  all_54_4 = e3
% 194.97/31.99  | | | 
% 194.97/31.99  | | | REF_CLOSE: (4), (109), (113) are inconsistent by sub-proof #1409.
% 194.97/31.99  | | | 
% 194.97/31.99  | | Case 2:
% 194.97/31.99  | | | 
% 194.97/31.99  | | |   (114)   ~ (all_54_4 = e3)
% 194.97/31.99  | | |   (115)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.97/31.99  | | | 
% 194.97/31.99  | | | BETA: splitting (115) gives:
% 194.97/31.99  | | | 
% 194.97/31.99  | | | Case 1:
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | |   (116)  all_54_4 = e2
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | COMBINE_EQS: (4), (116) imply:
% 194.97/31.99  | | | |   (117)  all_52_1 = e2
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | SIMP: (117) implies:
% 194.97/31.99  | | | |   (118)  all_52_1 = e2
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | REDUCE: (13), (118) imply:
% 194.97/31.99  | | | |   (119)   ~ (all_52_9 = e2)
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | SIMP: (119) implies:
% 194.97/31.99  | | | |   (120)   ~ (all_52_9 = e2)
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | REDUCE: (59), (118) imply:
% 194.97/31.99  | | | |   (121)   ~ (all_52_13 = e2)
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | SIMP: (121) implies:
% 194.97/31.99  | | | |   (122)   ~ (all_52_13 = e2)
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | REDUCE: (109), (118) imply:
% 194.97/31.99  | | | |   (123)   ~ (e3 = e2)
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | SIMP: (123) implies:
% 194.97/31.99  | | | |   (124)   ~ (e3 = e2)
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | REDUCE: (50), (118) imply:
% 194.97/31.99  | | | |   (125)   ~ (e2 = e1)
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | REDUCE: (8), (118) imply:
% 194.97/31.99  | | | |   (126)   ~ (e2 = e0)
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | BETA: splitting (71) gives:
% 194.97/31.99  | | | | 
% 194.97/31.99  | | | | Case 1:
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | |   (127)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2,
% 194.97/31.99  | | | | |              e2) = e2)
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | | BETA: splitting (127) gives:
% 194.97/31.99  | | | | | 
% 194.97/31.99  | | | | | Case 1:
% 194.97/31.99  | | | | | | 
% 194.97/31.99  | | | | | |   (128)  all_56_2 = e2 & op(e2, e3) = e2
% 194.97/31.99  | | | | | | 
% 194.97/31.99  | | | | | | ALPHA: (128) implies:
% 194.97/31.99  | | | | | |   (129)  all_56_2 = e2
% 194.97/31.99  | | | | | |   (130)  op(e2, e3) = e2
% 194.97/31.99  | | | | | | 
% 194.97/31.99  | | | | | | BETA: splitting (31) gives:
% 194.97/31.99  | | | | | | 
% 194.97/31.99  | | | | | | Case 1:
% 194.97/31.99  | | | | | | | 
% 194.97/31.99  | | | | | | |   (131)  all_54_11 = e3
% 194.97/31.99  | | | | | | | 
% 194.97/31.99  | | | | | | | COMBINE_EQS: (99), (131) imply:
% 194.97/31.99  | | | | | | |   (132)  all_48_0 = e3
% 194.97/31.99  | | | | | | | 
% 194.97/31.99  | | | | | | | REDUCE: (110), (132) imply:
% 194.97/31.99  | | | | | | |   (133)  $false
% 194.97/31.99  | | | | | | | 
% 194.97/31.99  | | | | | | | CLOSE: (133) is inconsistent.
% 194.97/31.99  | | | | | | | 
% 194.97/31.99  | | | | | | Case 2:
% 194.97/31.99  | | | | | | | 
% 194.97/31.99  | | | | | | |   (134)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.97/31.99  | | | | | | | 
% 194.97/31.99  | | | | | | | BETA: splitting (51) gives:
% 194.97/31.99  | | | | | | | 
% 194.97/31.99  | | | | | | | Case 1:
% 194.97/31.99  | | | | | | | | 
% 194.97/31.99  | | | | | | | |   (135)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 &
% 194.97/31.99  | | | | | | | |            op(e2, e2) = e3)
% 194.97/31.99  | | | | | | | | 
% 194.97/31.99  | | | | | | | | REF_CLOSE: (15), (20), (111), (124), (130), (135) are
% 194.97/31.99  | | | | | | | |            inconsistent by sub-proof #333.
% 194.97/31.99  | | | | | | | | 
% 194.97/31.99  | | | | | | | Case 2:
% 194.97/31.99  | | | | | | | | 
% 194.97/31.99  | | | | | | | |   (136)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 194.97/31.99  | | | | | | | |            op(e2, e0) = e3)
% 194.97/31.99  | | | | | | | | 
% 194.97/31.99  | | | | | | | | BETA: splitting (136) gives:
% 194.97/31.99  | | | | | | | | 
% 194.97/31.99  | | | | | | | | Case 1:
% 194.97/31.99  | | | | | | | | | 
% 194.97/31.99  | | | | | | | | |   (137)  all_56_5 = e3 & op(e2, e1) = e3
% 194.97/31.99  | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | ALPHA: (137) implies:
% 194.97/31.99  | | | | | | | | |   (138)  all_56_5 = e3
% 194.97/31.99  | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | BETA: splitting (12) gives:
% 194.97/31.99  | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | Case 1:
% 194.97/31.99  | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | |   (139)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 194.97/31.99  | | | | | | | | | |            & op(e2, e2) = e0)
% 194.97/31.99  | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | REF_CLOSE: (8), (15), (20), (58), (86), (139) are
% 194.97/31.99  | | | | | | | | | |            inconsistent by sub-proof #365.
% 194.97/31.99  | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | Case 2:
% 194.97/31.99  | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | |   (140)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0
% 194.97/31.99  | | | | | | | | | |            & op(e2, e0) = e0)
% 194.97/31.99  | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | BETA: splitting (140) gives:
% 194.97/31.99  | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | Case 1:
% 194.97/31.99  | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | |   (141)  all_56_5 = e0 & op(e2, e1) = e0
% 194.97/31.99  | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | ALPHA: (141) implies:
% 194.97/31.99  | | | | | | | | | | |   (142)  all_56_5 = e0
% 194.97/31.99  | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | REF_CLOSE: (112), (138), (142) are inconsistent by sub-proof
% 194.97/31.99  | | | | | | | | | | |            #1838.
% 194.97/31.99  | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | Case 2:
% 194.97/31.99  | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | |   (143)  all_56_10 = e0 & op(e2, e0) = e0
% 194.97/31.99  | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | ALPHA: (143) implies:
% 194.97/31.99  | | | | | | | | | | |   (144)  op(e2, e0) = e0
% 194.97/31.99  | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | BETA: splitting (134) gives:
% 194.97/31.99  | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | Case 1:
% 194.97/31.99  | | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | |   (145)  all_54_11 = e2
% 194.97/31.99  | | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | | REF_CLOSE: (21), (99), (145) are inconsistent by sub-proof
% 194.97/31.99  | | | | | | | | | | | |            #1047.
% 194.97/31.99  | | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | Case 2:
% 194.97/31.99  | | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | |   (146)  all_54_11 = e1 | all_54_11 = e0
% 194.97/31.99  | | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | | REF_CLOSE: (15), (32), (48), (55), (67), (144), (146) are
% 194.97/31.99  | | | | | | | | | | | |            inconsistent by sub-proof #328.
% 194.97/31.99  | | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | | End of split
% 194.97/31.99  | | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | | End of split
% 194.97/31.99  | | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | End of split
% 194.97/31.99  | | | | | | | | | 
% 194.97/31.99  | | | | | | | | Case 2:
% 194.97/31.99  | | | | | | | | | 
% 194.97/31.99  | | | | | | | | |   (147)  all_56_10 = e3 & op(e2, e0) = e3
% 194.97/31.99  | | | | | | | | | 
% 194.97/31.99  | | | | | | | | | ALPHA: (147) implies:
% 194.97/31.99  | | | | | | | | |   (148)  all_56_10 = e3
% 194.97/32.00  | | | | | | | | |   (149)  op(e2, e0) = e3
% 194.97/32.00  | | | | | | | | | 
% 194.97/32.00  | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (11),
% 194.97/32.00  | | | | | | | | |            (12), (15), (16), (17), (18), (19), (20), (22),
% 194.97/32.00  | | | | | | | | |            (23), (24), (25), (26), (27), (29), (30), (32),
% 194.97/32.00  | | | | | | | | |            (33), (35), (36), (37), (38), (41), (42), (43),
% 194.97/32.00  | | | | | | | | |            (44), (45), (46), (47), (48), (54), (57), (58),
% 194.97/32.00  | | | | | | | | |            (60), (62), (63), (64), (65), (66), (68), (70),
% 194.97/32.00  | | | | | | | | |            (71), (72), (73), (75), (76), (77), (78), (79),
% 194.97/32.00  | | | | | | | | |            (81), (82), (83), (84), (85), (88), (111), (112),
% 194.97/32.00  | | | | | | | | |            (120), (122), (124), (125), (126), (129), (148),
% 194.97/32.00  | | | | | | | | |            (149) are inconsistent by sub-proof #374.
% 194.97/32.00  | | | | | | | | | 
% 194.97/32.00  | | | | | | | | End of split
% 194.97/32.00  | | | | | | | | 
% 194.97/32.00  | | | | | | | End of split
% 194.97/32.00  | | | | | | | 
% 194.97/32.00  | | | | | | End of split
% 194.97/32.00  | | | | | | 
% 194.97/32.00  | | | | | Case 2:
% 194.97/32.00  | | | | | | 
% 194.97/32.00  | | | | | |   (150)  all_56_3 = e2 & op(e2, e2) = e2
% 194.97/32.00  | | | | | | 
% 194.97/32.00  | | | | | | ALPHA: (150) implies:
% 194.97/32.00  | | | | | |   (151)  op(e2, e2) = e2
% 194.97/32.00  | | | | | | 
% 194.97/32.00  | | | | | | REF_CLOSE: (15), (20), (125), (151) are inconsistent by sub-proof
% 194.97/32.00  | | | | | |            #1783.
% 194.97/32.00  | | | | | | 
% 194.97/32.00  | | | | | End of split
% 194.97/32.00  | | | | | 
% 194.97/32.00  | | | | Case 2:
% 194.97/32.00  | | | | | 
% 194.97/32.00  | | | | |   (152)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2,
% 194.97/32.00  | | | | |              e0) = e2)
% 194.97/32.00  | | | | | 
% 194.97/32.00  | | | | | REF_CLOSE: (15), (32), (79), (120), (122), (152) are inconsistent by
% 194.97/32.00  | | | | |            sub-proof #1661.
% 194.97/32.00  | | | | | 
% 194.97/32.00  | | | | End of split
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | Case 2:
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | |   (153)  all_54_4 = e1 | all_54_4 = e0
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | | REF_CLOSE: (4), (8), (50), (153) are inconsistent by sub-proof #1830.
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | End of split
% 194.97/32.00  | | | 
% 194.97/32.00  | | End of split
% 194.97/32.00  | | 
% 194.97/32.00  | Case 2:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (154)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (14), (34), (39), (75), (100), (154) are inconsistent by
% 194.97/32.00  | |            sub-proof #372.
% 194.97/32.00  | | 
% 194.97/32.00  | End of split
% 194.97/32.00  | 
% 194.97/32.00  End of proof
% 194.97/32.00  
% 194.97/32.00  Sub-proof #309 shows that the following formulas are inconsistent:
% 194.97/32.00  ----------------------------------------------------------------
% 194.97/32.00    (1)  op(e3, e3) = e0
% 194.97/32.00    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.00    (3)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 194.97/32.00    (4)  all_56_2 = e1
% 194.97/32.00    (5)   ~ (e3 = e1)
% 194.97/32.00    (6)   ~ (e3 = e0)
% 194.97/32.00  
% 194.97/32.00  Begin of proof
% 194.97/32.00  | 
% 194.97/32.00  | BETA: splitting (3) gives:
% 194.97/32.00  | 
% 194.97/32.00  | Case 1:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 194.97/32.00  | | 
% 194.97/32.00  | | ALPHA: (7) implies:
% 194.97/32.00  | |   (8)  op(e3, e3) = e3
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1961.
% 194.97/32.00  | | 
% 194.97/32.00  | Case 2:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (9)  all_56_2 = e3 & op(e2, e3) = e3
% 194.97/32.00  | | 
% 194.97/32.00  | | ALPHA: (9) implies:
% 194.97/32.00  | |   (10)  all_56_2 = e3
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (4), (5), (10) are inconsistent by sub-proof #1859.
% 194.97/32.00  | | 
% 194.97/32.00  | End of split
% 194.97/32.00  | 
% 194.97/32.00  End of proof
% 194.97/32.00  
% 194.97/32.00  Sub-proof #310 shows that the following formulas are inconsistent:
% 194.97/32.00  ----------------------------------------------------------------
% 194.97/32.00    (1)  op(e3, e3) = e0
% 194.97/32.00    (2)   ~ (all_52_7 = e0)
% 194.97/32.00    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.00    (4)  op(e2, e2) = all_4_2
% 194.97/32.00    (5)  op(e0, e0) = all_57_15
% 194.97/32.00    (6)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.97/32.00             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.00           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.97/32.00           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.97/32.00             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.97/32.00           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.00           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.00           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.97/32.00           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.97/32.00           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.97/32.00           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.97/32.00         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.00             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.00           $i(all_57_7))
% 194.97/32.00    (7)   ~ (all_4_2 = e3)
% 194.97/32.00    (8)   ~ (e1 = e0)
% 194.97/32.00    (9)  op(e0, e0) = e3
% 194.97/32.00    (10)  op(e2, e2) = e0
% 194.97/32.00    (11)  op(e0, e2) = all_52_7
% 194.97/32.00  
% 194.97/32.00  Begin of proof
% 194.97/32.00  | 
% 194.97/32.00  | BETA: splitting (6) gives:
% 194.97/32.00  | 
% 194.97/32.00  | Case 1:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (12)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 194.97/32.00  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 194.97/32.00  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.97/32.00  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.97/32.00  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 194.97/32.00  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.97/32.00  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.00  | |           $i(all_57_3))
% 194.97/32.00  | | 
% 194.97/32.00  | | BETA: splitting (12) gives:
% 194.97/32.00  | | 
% 194.97/32.00  | | Case 1:
% 194.97/32.00  | | | 
% 194.97/32.00  | | |   (13)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.97/32.00  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.97/32.00  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 194.97/32.00  | | | 
% 194.97/32.00  | | | ALPHA: (13) implies:
% 194.97/32.00  | | |   (14)  op(e2, e2) = e3
% 194.97/32.00  | | | 
% 194.97/32.00  | | | REF_CLOSE: (3), (4), (7), (14) are inconsistent by sub-proof #1975.
% 194.97/32.00  | | | 
% 194.97/32.00  | | Case 2:
% 194.97/32.00  | | | 
% 194.97/32.00  | | |   (15)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.97/32.00  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.97/32.00  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.97/32.00  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.97/32.00  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.97/32.00  | | | 
% 194.97/32.00  | | | BETA: splitting (15) gives:
% 194.97/32.00  | | | 
% 194.97/32.00  | | | Case 1:
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | |   (16)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.97/32.00  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.97/32.00  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | | ALPHA: (16) implies:
% 194.97/32.00  | | | |   (17)   ~ (all_57_15 = e3)
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | | REF_CLOSE: (3), (5), (9), (17) are inconsistent by sub-proof #1276.
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | Case 2:
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | |   (18)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.00  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.97/32.00  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | | ALPHA: (18) implies:
% 194.97/32.00  | | | |   (19)  op(e0, e2) = e0
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | | REF_CLOSE: (2), (3), (11), (19) are inconsistent by sub-proof #818.
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | End of split
% 194.97/32.00  | | | 
% 194.97/32.00  | | End of split
% 194.97/32.00  | | 
% 194.97/32.00  | Case 2:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (20)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/32.00  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.97/32.00  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/32.00  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.00  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.97/32.00  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/32.00  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.00  | |           $i(all_57_7))
% 194.97/32.00  | | 
% 194.97/32.00  | | BETA: splitting (20) gives:
% 194.97/32.00  | | 
% 194.97/32.00  | | Case 1:
% 194.97/32.00  | | | 
% 194.97/32.00  | | |   (21)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.97/32.00  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.00  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 194.97/32.00  | | | 
% 194.97/32.00  | | | ALPHA: (21) implies:
% 194.97/32.00  | | |   (22)  op(e0, e2) = e0
% 194.97/32.00  | | | 
% 194.97/32.00  | | | REF_CLOSE: (2), (3), (11), (22) are inconsistent by sub-proof #818.
% 194.97/32.00  | | | 
% 194.97/32.00  | | Case 2:
% 194.97/32.00  | | | 
% 194.97/32.00  | | |   (23)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.97/32.00  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/32.00  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.97/32.00  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.97/32.00  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.00  | | | 
% 194.97/32.00  | | | REF_CLOSE: (1), (3), (8), (10), (23) are inconsistent by sub-proof #549.
% 194.97/32.00  | | | 
% 194.97/32.00  | | End of split
% 194.97/32.00  | | 
% 194.97/32.00  | End of split
% 194.97/32.00  | 
% 194.97/32.00  End of proof
% 194.97/32.00  
% 194.97/32.00  Sub-proof #311 shows that the following formulas are inconsistent:
% 194.97/32.00  ----------------------------------------------------------------
% 194.97/32.00    (1)  op(e1, e0) = e0
% 194.97/32.00    (2)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 194.97/32.00             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.97/32.00           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.97/32.00         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 194.97/32.00             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.97/32.00           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.97/32.00    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.00    (4)   ~ (e1 = e0)
% 194.97/32.00    (5)  op(e2, e2) = e0
% 194.97/32.00  
% 194.97/32.00  Begin of proof
% 194.97/32.00  | 
% 194.97/32.00  | BETA: splitting (2) gives:
% 194.97/32.00  | 
% 194.97/32.00  | Case 1:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (6)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 194.97/32.00  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.97/32.00  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 194.97/32.00  | | 
% 194.97/32.00  | | ALPHA: (6) implies:
% 194.97/32.00  | |   (7)   ~ (all_57_12 = e0)
% 194.97/32.00  | |   (8)  op(e2, e2) = all_57_12
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (3), (5), (7), (8) are inconsistent by sub-proof #1381.
% 194.97/32.00  | | 
% 194.97/32.00  | Case 2:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (9)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 194.97/32.00  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.97/32.00  | |        all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 194.97/32.00  | | 
% 194.97/32.00  | | ALPHA: (9) implies:
% 194.97/32.00  | |   (10)  op(e1, e0) = e1
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #312.
% 194.97/32.00  | | 
% 194.97/32.00  | End of split
% 194.97/32.00  | 
% 194.97/32.00  End of proof
% 194.97/32.00  
% 194.97/32.00  Sub-proof #312 shows that the following formulas are inconsistent:
% 194.97/32.00  ----------------------------------------------------------------
% 194.97/32.00    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.00    (2)  op(e1, e0) = e1
% 194.97/32.00    (3)  op(e1, e0) = e0
% 194.97/32.00    (4)   ~ (e1 = e0)
% 194.97/32.00  
% 194.97/32.00  Begin of proof
% 194.97/32.00  | 
% 194.97/32.00  | GROUND_INST: instantiating (1) with e0, e1, e0, e1, simplifying with (2), (3)
% 194.97/32.00  |              gives:
% 194.97/32.00  |   (5)  e1 = e0
% 194.97/32.00  | 
% 194.97/32.00  | REDUCE: (4), (5) imply:
% 194.97/32.00  |   (6)  $false
% 194.97/32.00  | 
% 194.97/32.00  | CLOSE: (6) is inconsistent.
% 194.97/32.00  | 
% 194.97/32.00  End of proof
% 194.97/32.00  
% 194.97/32.00  Sub-proof #313 shows that the following formulas are inconsistent:
% 194.97/32.00  ----------------------------------------------------------------
% 194.97/32.00    (1)  op(e3, e3) = e0
% 194.97/32.00    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.00    (3)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.97/32.00           all_57_8 & $i(all_57_8))
% 194.97/32.00    (4)  op(e0, e1) = e0
% 194.97/32.00    (5)   ~ (e1 = e0)
% 194.97/32.00    (6)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.97/32.00           all_57_6 & $i(all_57_6))
% 194.97/32.00    (7)  op(e0, e0) = e3
% 194.97/32.00    (8)   ~ (e3 = e1)
% 194.97/32.00  
% 194.97/32.00  Begin of proof
% 194.97/32.00  | 
% 194.97/32.00  | BETA: splitting (3) gives:
% 194.97/32.00  | 
% 194.97/32.00  | Case 1:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (9)  all_57_15 = e1 & op(e0, e0) = e1
% 194.97/32.00  | | 
% 194.97/32.00  | | ALPHA: (9) implies:
% 194.97/32.00  | |   (10)  op(e0, e0) = e1
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (2), (7), (8), (10) are inconsistent by sub-proof #1392.
% 194.97/32.00  | | 
% 194.97/32.00  | Case 2:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (11)   ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)
% 194.97/32.00  | | 
% 194.97/32.00  | | ALPHA: (11) implies:
% 194.97/32.00  | |   (12)  op(e0, e1) = all_57_8
% 194.97/32.00  | | 
% 194.97/32.00  | | BETA: splitting (6) gives:
% 194.97/32.00  | | 
% 194.97/32.00  | | Case 1:
% 194.97/32.00  | | | 
% 194.97/32.00  | | |   (13)  all_57_10 = e1 & op(e3, e3) = e1
% 194.97/32.00  | | | 
% 194.97/32.00  | | | ALPHA: (13) implies:
% 194.97/32.00  | | |   (14)  op(e3, e3) = e1
% 194.97/32.00  | | | 
% 194.97/32.00  | | | REF_CLOSE: (1), (2), (5), (14) are inconsistent by sub-proof #1937.
% 194.97/32.00  | | | 
% 194.97/32.00  | | Case 2:
% 194.97/32.00  | | | 
% 194.97/32.00  | | | 
% 194.97/32.00  | | | GROUND_INST: instantiating (2) with e0, all_57_8, e1, e0, simplifying with
% 194.97/32.00  | | |              (4), (12) gives:
% 194.97/32.00  | | |   (15)  all_57_8 = e0
% 194.97/32.00  | | | 
% 194.97/32.00  | | | REF_CLOSE: (2), (3), (7), (8), (15) are inconsistent by sub-proof #1184.
% 194.97/32.00  | | | 
% 194.97/32.00  | | End of split
% 194.97/32.00  | | 
% 194.97/32.00  | End of split
% 194.97/32.00  | 
% 194.97/32.00  End of proof
% 194.97/32.00  
% 194.97/32.00  Sub-proof #314 shows that the following formulas are inconsistent:
% 194.97/32.00  ----------------------------------------------------------------
% 194.97/32.00    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.00    (2)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.00           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.00           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.00                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.00               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.00               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.00           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.00           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.00             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.00           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.00               = all_57_1 & $i(all_57_1))))
% 194.97/32.00    (3)   ~ (all_57_2 = e0)
% 194.97/32.00    (4)   ~ (all_52_12 = e3)
% 194.97/32.00    (5)  op(e3, e0) = all_52_12
% 194.97/32.00    (6)  op(e0, e3) = all_57_2
% 194.97/32.00  
% 194.97/32.00  Begin of proof
% 194.97/32.00  | 
% 194.97/32.00  | BETA: splitting (2) gives:
% 194.97/32.00  | 
% 194.97/32.00  | Case 1:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.00  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.00  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.97/32.00  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 194.97/32.00  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.00  | |            all_57_13 & $i(all_57_13)))
% 194.97/32.00  | | 
% 194.97/32.00  | | ALPHA: (7) implies:
% 194.97/32.00  | |   (8)  op(e3, e0) = e3
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1964.
% 194.97/32.00  | | 
% 194.97/32.00  | Case 2:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 194.97/32.00  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.00  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.97/32.00  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.97/32.00  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 194.97/32.00  | |            & $i(all_57_1)))
% 194.97/32.00  | | 
% 194.97/32.00  | | ALPHA: (9) implies:
% 194.97/32.00  | |   (10)  op(e0, e3) = e0
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1526.
% 194.97/32.00  | | 
% 194.97/32.00  | End of split
% 194.97/32.00  | 
% 194.97/32.00  End of proof
% 194.97/32.00  
% 194.97/32.00  Sub-proof #315 shows that the following formulas are inconsistent:
% 194.97/32.00  ----------------------------------------------------------------
% 194.97/32.00    (1)   ~ (all_52_13 = e3)
% 194.97/32.00    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.00    (3)  op(e2, e0) = all_52_13
% 194.97/32.00    (4)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.97/32.00    (5)  all_56_5 = e0
% 194.97/32.00    (6)   ~ (e3 = e0)
% 194.97/32.00  
% 194.97/32.00  Begin of proof
% 194.97/32.00  | 
% 194.97/32.00  | BETA: splitting (4) gives:
% 194.97/32.00  | 
% 194.97/32.00  | Case 1:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (7)  all_56_5 = e3 & op(e2, e1) = e3
% 194.97/32.00  | | 
% 194.97/32.00  | | ALPHA: (7) implies:
% 194.97/32.00  | |   (8)  all_56_5 = e3
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (5), (6), (8) are inconsistent by sub-proof #1838.
% 194.97/32.00  | | 
% 194.97/32.00  | Case 2:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (9)  all_56_10 = e3 & op(e2, e0) = e3
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1456.
% 194.97/32.00  | | 
% 194.97/32.00  | End of split
% 194.97/32.00  | 
% 194.97/32.00  End of proof
% 194.97/32.00  
% 194.97/32.00  Sub-proof #316 shows that the following formulas are inconsistent:
% 194.97/32.00  ----------------------------------------------------------------
% 194.97/32.00    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.97/32.00         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.97/32.00    (2)  op(e1, e3) = all_52_2
% 194.97/32.00    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.00         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.97/32.00    (4)   ~ (all_52_2 = e0)
% 194.97/32.00    (5)   ~ (e3 = e2)
% 194.97/32.00    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.00    (7)  op(e2, e2) = all_4_2
% 194.97/32.00    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.00         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/32.00    (9)   ~ (all_4_2 = e3)
% 194.97/32.00    (10)   ~ (e1 = e0)
% 194.97/32.00    (11)   ~ (e2 = e1)
% 194.97/32.00    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 194.97/32.00    (13)  op(e2, e2) = e0
% 194.97/32.00    (14)   ~ (e3 = e1)
% 194.97/32.00    (15)   ~ (e2 = e0)
% 194.97/32.00    (16)   ~ (e3 = e0)
% 194.97/32.00  
% 194.97/32.00  Begin of proof
% 194.97/32.00  | 
% 194.97/32.00  | BETA: splitting (12) gives:
% 194.97/32.00  | 
% 194.97/32.00  | Case 1:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (17)  all_56_6 = e0 & op(e1, e3) = e0
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (2), (4), (6), (17) are inconsistent by sub-proof #1768.
% 194.97/32.00  | | 
% 194.97/32.00  | Case 2:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (18)  all_56_7 = e0 & op(e1, e2) = e0
% 194.97/32.00  | | 
% 194.97/32.00  | | ALPHA: (18) implies:
% 194.97/32.00  | |   (19)  all_56_7 = e0
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (13), (14), (15),
% 194.97/32.00  | |            (16), (19) are inconsistent by sub-proof #398.
% 194.97/32.00  | | 
% 194.97/32.00  | End of split
% 194.97/32.00  | 
% 194.97/32.00  End of proof
% 194.97/32.00  
% 194.97/32.00  Sub-proof #317 shows that the following formulas are inconsistent:
% 194.97/32.00  ----------------------------------------------------------------
% 194.97/32.00    (1)  op(e3, e3) = e0
% 194.97/32.00    (2)  op(e1, e1) = e1
% 194.97/32.00    (3)   ~ (all_52_13 = e2)
% 194.97/32.00    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.00    (5)  op(e2, e2) = all_4_2
% 194.97/32.00    (6)  op(e0, e3) = all_52_3
% 194.97/32.00    (7)  op(e2, e0) = all_52_13
% 194.97/32.00    (8)  op(e1, e0) = all_52_14
% 194.97/32.00    (9)   ~ (all_4_2 = e1)
% 194.97/32.00    (10)   ~ (all_52_14 = e1)
% 194.97/32.00    (11)   ~ (all_4_2 = e3)
% 194.97/32.00    (12)   ~ (e1 = e0)
% 194.97/32.00    (13)   ~ (e2 = e1)
% 194.97/32.00    (14)   ~ (all_52_3 = e0)
% 194.97/32.00    (15)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 194.97/32.00              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.97/32.00            all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.97/32.00          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 194.97/32.00              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.97/32.00            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 194.97/32.00          (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 =
% 194.97/32.00              e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.97/32.00            op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 =
% 194.97/32.00            e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.97/32.00            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.97/32.00            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.97/32.00            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 194.97/32.00                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.97/32.00                op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 194.97/32.00                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.97/32.00                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.00                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.97/32.00                  e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.00                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 194.97/32.00                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 194.97/32.00                  e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.97/32.00                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 194.97/32.00                  e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.97/32.00                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.97/32.00                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 194.97/32.00                  e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.00                $i(all_57_7))))
% 194.97/32.00    (16)   ~ (e2 = e0)
% 194.97/32.00  
% 194.97/32.00  Begin of proof
% 194.97/32.00  | 
% 194.97/32.00  | BETA: splitting (15) gives:
% 194.97/32.00  | 
% 194.97/32.00  | Case 1:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (17)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.97/32.00  | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/32.00  | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.97/32.00  | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.97/32.00  | |             e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 194.97/32.00  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 194.97/32.00  | |           & $i(all_57_14))
% 194.97/32.00  | | 
% 194.97/32.00  | | REF_CLOSE: (3), (4), (7), (8), (10), (17) are inconsistent by sub-proof
% 194.97/32.00  | |            #560.
% 194.97/32.00  | | 
% 194.97/32.00  | Case 2:
% 194.97/32.00  | | 
% 194.97/32.00  | |   (18)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 194.97/32.00  | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.97/32.00  | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.00  | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11
% 194.97/32.00  | |             = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 194.97/32.00  | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.97/32.00  | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.97/32.00  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.00  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 194.97/32.00  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 194.97/32.00  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.97/32.00  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.00  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.97/32.00  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.00  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 194.97/32.00  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 194.97/32.00  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.97/32.00  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.97/32.00  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.97/32.00  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.97/32.00  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/32.00  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.00  | |               $i(all_57_7))))
% 194.97/32.00  | | 
% 194.97/32.00  | | BETA: splitting (18) gives:
% 194.97/32.00  | | 
% 194.97/32.00  | | Case 1:
% 194.97/32.00  | | | 
% 194.97/32.00  | | |   (19)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 194.97/32.00  | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.97/32.00  | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.00  | | |         $i(all_57_13)
% 194.97/32.00  | | | 
% 194.97/32.00  | | | ALPHA: (19) implies:
% 194.97/32.00  | | |   (20)  op(e2, e0) = e2
% 194.97/32.00  | | | 
% 194.97/32.00  | | | REF_CLOSE: (3), (4), (7), (20) are inconsistent by sub-proof #1662.
% 194.97/32.00  | | | 
% 194.97/32.00  | | Case 2:
% 194.97/32.00  | | | 
% 194.97/32.00  | | |   (21)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.97/32.00  | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.00  | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/32.00  | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.00  | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.97/32.00  | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.97/32.00  | | |               op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.97/32.00  | | |               = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3)
% 194.97/32.00  | | |               = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.00  | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.97/32.00  | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 194.97/32.00  | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/32.00  | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.97/32.00  | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.00  | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.97/32.00  | | |               = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.97/32.00  | | |               = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.97/32.00  | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.97/32.00  | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 194.97/32.00  | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.97/32.00  | | | 
% 194.97/32.00  | | | BETA: splitting (21) gives:
% 194.97/32.00  | | | 
% 194.97/32.00  | | | Case 1:
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | |   (22)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.97/32.00  | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.00  | | | |         op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/32.00  | | | |         $i(all_57_14)
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | | ALPHA: (22) implies:
% 194.97/32.00  | | | |   (23)  op(e1, e0) = e1
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | | REF_CLOSE: (4), (8), (10), (23) are inconsistent by sub-proof #1958.
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | Case 2:
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | |   (24)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.97/32.00  | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.97/32.00  | | | |             op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.00  | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.97/32.00  | | | |             (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.97/32.00  | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 194.97/32.00  | | | |           | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.00  | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.97/32.00  | | | |             op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.00  | | | |             = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 194.97/32.00  | | | |             = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.97/32.00  | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/32.00  | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 194.97/32.00  | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.97/32.00  | | | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.00  | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.97/32.00  | | | |             op(e0, e1) = e0 & $i(all_57_7)))
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | | ALPHA: (24) implies:
% 194.97/32.00  | | | |   (25)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.97/32.00  | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.97/32.00  | | | |           op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.97/32.00  | | | |           e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.97/32.00  | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.97/32.00  | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.00  | | | |           (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 194.97/32.00  | | | |           op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.97/32.00  | | | |           e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.97/32.00  | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.97/32.00  | | | |         (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.97/32.00  | | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/32.00  | | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.97/32.00  | | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.97/32.00  | | | |           e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | | REF_CLOSE: (1), (2), (4), (5), (6), (9), (11), (12), (13), (14), (16),
% 194.97/32.00  | | | |            (25) are inconsistent by sub-proof #401.
% 194.97/32.00  | | | | 
% 194.97/32.00  | | | End of split
% 194.97/32.00  | | | 
% 194.97/32.00  | | End of split
% 194.97/32.00  | | 
% 194.97/32.00  | End of split
% 194.97/32.00  | 
% 194.97/32.00  End of proof
% 194.97/32.00  
% 194.97/32.00  Sub-proof #318 shows that the following formulas are inconsistent:
% 194.97/32.00  ----------------------------------------------------------------
% 194.97/32.00    (1)  op(e3, e3) = e0
% 194.97/32.00    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.00    (3)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.97/32.00             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.00           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 194.97/32.00           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.00           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.97/32.00           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 194.97/32.00    (4)   ~ (e1 = e0)
% 194.97/32.00    (5)  op(e0, e0) = e3
% 194.97/32.00    (6)   ~ (e3 = e1)
% 194.97/32.00  
% 194.97/32.00  Begin of proof
% 194.97/32.00  | 
% 194.97/32.00  | BETA: splitting (3) gives:
% 194.97/32.00  | 
% 194.97/32.00  | Case 1:
% 194.97/32.00  | | 
% 194.97/32.01  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.97/32.01  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.01  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (7) implies:
% 194.97/32.01  | |   (8)  op(e0, e0) = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1392.
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 194.97/32.01  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.97/32.01  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (9) implies:
% 194.97/32.01  | |   (10)  op(e3, e3) = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1937.
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #319 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)   ~ (e3 = e2)
% 194.97/32.01    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (3)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 194.97/32.01         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.97/32.01    (4)  op(e0, e3) = all_52_3
% 194.97/32.01    (5)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 194.97/32.01         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/32.01    (6)  all_56_14 = e3
% 194.97/32.01    (7)   ~ (e1 = e0)
% 194.97/32.01    (8)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/32.01             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 194.97/32.01               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.97/32.01               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.97/32.01    (9)   ~ (e2 = e1)
% 194.97/32.01    (10)   ~ (all_52_3 = e0)
% 194.97/32.01    (11)  op(e0, e0) = e3
% 194.97/32.01    (12)   ~ (e3 = e1)
% 194.97/32.01    (13)   ~ (e2 = e0)
% 194.97/32.01    (14)   ~ (e3 = e0)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (8) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (15)  all_56_15 = e0 & op(e0, e0) = e0
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (15) implies:
% 194.97/32.01  | |   (16)  op(e0, e0) = e0
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (2), (11), (14), (16) are inconsistent by sub-proof #1947.
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (17)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 194.97/32.01  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 194.97/32.01  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 194.97/32.01  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (17) implies:
% 194.97/32.01  | |   (18)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 194.97/32.01  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 194.97/32.01  | |            (14), (18) are inconsistent by sub-proof #320.
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #320 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)   ~ (e3 = e2)
% 194.97/32.01    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (3)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 194.97/32.01         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.97/32.01    (4)  op(e0, e3) = all_52_3
% 194.97/32.01    (5)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 194.97/32.01         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/32.01    (6)  all_56_14 = e3
% 194.97/32.01    (7)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 194.97/32.01         (all_56_14 = e0 & op(e0, e1) = e0)
% 194.97/32.01    (8)   ~ (e1 = e0)
% 194.97/32.01    (9)   ~ (e2 = e1)
% 194.97/32.01    (10)   ~ (all_52_3 = e0)
% 194.97/32.01    (11)  op(e0, e0) = e3
% 194.97/32.01    (12)   ~ (e3 = e1)
% 194.97/32.01    (13)   ~ (e2 = e0)
% 194.97/32.01    (14)   ~ (e3 = e0)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (7) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (15)  all_56_12 = e0 & op(e0, e3) = e0
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (15) implies:
% 194.97/32.01  | |   (16)  op(e0, e3) = e0
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (2), (4), (10), (16) are inconsistent by sub-proof #1935.
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (17)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 194.97/32.01  | |           e0)
% 194.97/32.01  | | 
% 194.97/32.01  | | BETA: splitting (17) gives:
% 194.97/32.01  | | 
% 194.97/32.01  | | Case 1:
% 194.97/32.01  | | | 
% 194.97/32.01  | | |   (18)  all_56_13 = e0 & op(e0, e2) = e0
% 194.97/32.01  | | | 
% 194.97/32.01  | | | ALPHA: (18) implies:
% 194.97/32.01  | | |   (19)  all_56_13 = e0
% 194.97/32.01  | | |   (20)  op(e0, e2) = e0
% 194.97/32.01  | | | 
% 194.97/32.01  | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (11), (12), (13), (19), (20)
% 194.97/32.01  | | |            are inconsistent by sub-proof #321.
% 194.97/32.01  | | | 
% 194.97/32.01  | | Case 2:
% 194.97/32.01  | | | 
% 194.97/32.01  | | |   (21)  all_56_14 = e0 & op(e0, e1) = e0
% 194.97/32.01  | | | 
% 194.97/32.01  | | | REF_CLOSE: (6), (14), (21) are inconsistent by sub-proof #861.
% 194.97/32.01  | | | 
% 194.97/32.01  | | End of split
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #321 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)   ~ (e3 = e2)
% 194.97/32.01    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (3)  all_56_13 = e0
% 194.97/32.01    (4)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 194.97/32.01         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.97/32.01    (5)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 194.97/32.01         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/32.01    (6)  op(e0, e2) = e0
% 194.97/32.01    (7)  all_56_14 = e3
% 194.97/32.01    (8)   ~ (e1 = e0)
% 194.97/32.01    (9)   ~ (e2 = e1)
% 194.97/32.01    (10)  op(e0, e0) = e3
% 194.97/32.01    (11)   ~ (e3 = e1)
% 194.97/32.01    (12)   ~ (e2 = e0)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (4) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 194.97/32.01  | |           e1)
% 194.97/32.01  | | 
% 194.97/32.01  | | BETA: splitting (13) gives:
% 194.97/32.01  | | 
% 194.97/32.01  | | Case 1:
% 194.97/32.01  | | | 
% 194.97/32.01  | | |   (14)  all_56_12 = e1 & op(e0, e3) = e1
% 194.97/32.01  | | | 
% 194.97/32.01  | | | ALPHA: (14) implies:
% 194.97/32.01  | | |   (15)  all_56_12 = e1
% 194.97/32.01  | | | 
% 194.97/32.01  | | | BETA: splitting (5) gives:
% 194.97/32.01  | | | 
% 194.97/32.01  | | | Case 1:
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | |   (16)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 194.97/32.01  | | | |             e2) = e2)
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | | BETA: splitting (16) gives:
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | | Case 1:
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | |   (17)  all_56_12 = e2 & op(e0, e3) = e2
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | | ALPHA: (17) implies:
% 194.97/32.01  | | | | |   (18)  all_56_12 = e2
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | | REF_CLOSE: (9), (15), (18) are inconsistent by sub-proof #1622.
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | Case 2:
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | |   (19)  all_56_13 = e2 & op(e0, e2) = e2
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | | ALPHA: (19) implies:
% 194.97/32.01  | | | | |   (20)  op(e0, e2) = e2
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | | REF_CLOSE: (2), (6), (12), (20) are inconsistent by sub-proof #423.
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | End of split
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | Case 2:
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | |   (21)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 194.97/32.01  | | | |             e0) = e2)
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | | BETA: splitting (21) gives:
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | | Case 1:
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | |   (22)  all_56_14 = e2 & op(e0, e1) = e2
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | | REF_CLOSE: (1), (7), (22) are inconsistent by sub-proof #1820.
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | Case 2:
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | |   (23)  all_56_15 = e2 & op(e0, e0) = e2
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | | ALPHA: (23) implies:
% 194.97/32.01  | | | | |   (24)  op(e0, e0) = e2
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | | REF_CLOSE: (1), (2), (10), (24) are inconsistent by sub-proof #1692.
% 194.97/32.01  | | | | | 
% 194.97/32.01  | | | | End of split
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | End of split
% 194.97/32.01  | | | 
% 194.97/32.01  | | Case 2:
% 194.97/32.01  | | | 
% 194.97/32.01  | | |   (25)  all_56_13 = e1 & op(e0, e2) = e1
% 194.97/32.01  | | | 
% 194.97/32.01  | | | ALPHA: (25) implies:
% 194.97/32.01  | | |   (26)  all_56_13 = e1
% 194.97/32.01  | | | 
% 194.97/32.01  | | | REF_CLOSE: (3), (8), (26) are inconsistent by sub-proof #1787.
% 194.97/32.01  | | | 
% 194.97/32.01  | | End of split
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (27)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 194.97/32.01  | |           e1)
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (2), (7), (10), (11), (27) are inconsistent by sub-proof #1040.
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #322 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)   ~ (all_52_3 = e3)
% 194.97/32.01    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (3)  op(e0, e3) = all_52_3
% 194.97/32.01    (4)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/32.01    (5)   ~ (all_52_7 = e3)
% 194.97/32.01    (6)  op(e0, e2) = all_52_7
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (4) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (7)  all_56_12 = e3 & op(e0, e3) = e3
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (7) implies:
% 194.97/32.01  | |   (8)  op(e0, e3) = e3
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #323.
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (9)  all_56_13 = e3 & op(e0, e2) = e3
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (9) implies:
% 194.97/32.01  | |   (10)  op(e0, e2) = e3
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #783.
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #323 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (2)  op(e0, e3) = all_52_3
% 194.97/32.01    (3)  op(e0, e3) = e3
% 194.97/32.01    (4)   ~ (all_52_3 = e3)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | GROUND_INST: instantiating (1) with all_52_3, e3, e3, e0, simplifying with
% 194.97/32.01  |              (2), (3) gives:
% 194.97/32.01  |   (5)  all_52_3 = e3
% 194.97/32.01  | 
% 194.97/32.01  | REDUCE: (4), (5) imply:
% 194.97/32.01  |   (6)  $false
% 194.97/32.01  | 
% 194.97/32.01  | CLOSE: (6) is inconsistent.
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #324 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)  op(e3, e3) = e0
% 194.97/32.01    (2)  op(e1, e3) = all_52_2
% 194.97/32.01    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.97/32.01           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.01           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.01                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.97/32.01               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.01               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.01           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 194.97/32.01           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.01               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.01           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.01               = all_57_2 & $i(all_57_2))))
% 194.97/32.01    (5)   ~ (e1 = e0)
% 194.97/32.01    (6)   ~ (all_52_2 = e1)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (4) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.97/32.01  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.01  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.01  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 194.97/32.01  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.97/32.01  | |            & $i(all_57_8)))
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (7) implies:
% 194.97/32.01  | |   (8)  op(e3, e3) = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1937.
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.97/32.01  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.01  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.97/32.01  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.97/32.01  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 194.97/32.01  | |            & $i(all_57_2)))
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (9) implies:
% 194.97/32.01  | |   (10)  op(e1, e3) = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1974.
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #325 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)   ~ (e3 = e2)
% 194.97/32.01    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (3)  op(e2, e2) = e1
% 194.97/32.01    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 194.97/32.01    (5)  op(e3, e2) = e2
% 194.97/32.01    (6)   ~ (e3 = e1)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (4) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (7) implies:
% 194.97/32.01  | |   (8)  op(e3, e2) = e3
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1927.
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (9) implies:
% 194.97/32.01  | |   (10)  op(e2, e2) = e3
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1679.
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #326 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)   ~ (e3 = e2)
% 194.97/32.01    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (3)  all_56_13 = e0
% 194.97/32.01    (4)  all_56_12 = e3
% 194.97/32.01    (5)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 194.97/32.01         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/32.01    (6)  all_56_14 = e1
% 194.97/32.01    (7)   ~ (e2 = e1)
% 194.97/32.01    (8)  op(e0, e0) = e0
% 194.97/32.01    (9)   ~ (e2 = e0)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (5) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (10)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 194.97/32.01  | |           e2)
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (1), (3), (4), (9), (10) are inconsistent by sub-proof #629.
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (11)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 194.97/32.01  | |           e2)
% 194.97/32.01  | | 
% 194.97/32.01  | | BETA: splitting (11) gives:
% 194.97/32.01  | | 
% 194.97/32.01  | | Case 1:
% 194.97/32.01  | | | 
% 194.97/32.01  | | |   (12)  all_56_14 = e2 & op(e0, e1) = e2
% 194.97/32.01  | | | 
% 194.97/32.01  | | | ALPHA: (12) implies:
% 194.97/32.01  | | |   (13)  all_56_14 = e2
% 194.97/32.01  | | | 
% 194.97/32.01  | | | REF_CLOSE: (6), (7), (13) are inconsistent by sub-proof #1815.
% 194.97/32.01  | | | 
% 194.97/32.01  | | Case 2:
% 194.97/32.01  | | | 
% 194.97/32.01  | | |   (14)  all_56_15 = e2 & op(e0, e0) = e2
% 194.97/32.01  | | | 
% 194.97/32.01  | | | ALPHA: (14) implies:
% 194.97/32.01  | | |   (15)  op(e0, e0) = e2
% 194.97/32.01  | | | 
% 194.97/32.01  | | | REF_CLOSE: (2), (8), (9), (15) are inconsistent by sub-proof #1945.
% 194.97/32.01  | | | 
% 194.97/32.01  | | End of split
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #327 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)   ~ (e3 = e2)
% 194.97/32.01    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.01         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.01    (4)  all_56_5 = e0
% 194.97/32.01    (5)  all_56_14 = e1
% 194.97/32.01    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.97/32.01         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.97/32.01    (7)   ~ (e2 = e1)
% 194.97/32.01    (8)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.97/32.01           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.97/32.01           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.01                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.97/32.01               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.01               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 194.97/32.01           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 194.97/32.01             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.01               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.01           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.01               = all_57_7 & $i(all_57_7))))
% 194.97/32.01    (9)  op(e0, e0) = e2
% 194.97/32.01    (10)   ~ (e3 = e1)
% 194.97/32.01    (11)   ~ (e2 = e0)
% 194.97/32.01    (12)   ~ (e3 = e0)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (8) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (13)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.97/32.01  | |         op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.97/32.01  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 194.97/32.01  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 194.97/32.01  | |             e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.01  | |             all_57_11 & $i(all_57_11)))
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (13) implies:
% 194.97/32.01  | |   (14)  op(e1, e1) = e0
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (11), (12), (14) are
% 194.97/32.01  | |            inconsistent by sub-proof #1552.
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (15)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.97/32.01  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.97/32.01  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 194.97/32.01  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 194.97/32.01  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.97/32.01  | |             all_57_7 & $i(all_57_7)))
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (15) implies:
% 194.97/32.01  | |   (16)  op(e0, e0) = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (2), (7), (9), (16) are inconsistent by sub-proof #1780.
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #328 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (2)  op(e2, e0) = e0
% 194.97/32.01    (3)  op(e2, e0) = all_52_13
% 194.97/32.01    (4)   ~ (all_52_14 = e1)
% 194.97/32.01    (5)  all_54_11 = all_52_14
% 194.97/32.01    (6)  all_54_11 = e1 | all_54_11 = e0
% 194.97/32.01    (7)   ~ (all_52_13 = all_52_14)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (6) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (8)  all_54_11 = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | COMBINE_EQS: (5), (8) imply:
% 194.97/32.01  | |   (9)  all_52_14 = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | REDUCE: (4), (9) imply:
% 194.97/32.01  | |   (10)  $false
% 194.97/32.01  | | 
% 194.97/32.01  | | CLOSE: (10) is inconsistent.
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (11)  all_54_11 = e0
% 194.97/32.01  | | 
% 194.97/32.01  | | COMBINE_EQS: (5), (11) imply:
% 194.97/32.01  | |   (12)  all_52_14 = e0
% 194.97/32.01  | | 
% 194.97/32.01  | | REDUCE: (7), (12) imply:
% 194.97/32.01  | |   (13)   ~ (all_52_13 = e0)
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (1), (2), (3), (13) are inconsistent by sub-proof #1173.
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #329 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)  op(e3, e3) = e0
% 194.97/32.01    (2)  op(e1, e3) = all_52_2
% 194.97/32.01    (3)  op(e0, e0) = all_14_2
% 194.97/32.01    (4)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.01         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/32.01    (5)   ~ (e3 = e2)
% 194.97/32.01    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (7)  op(e2, e2) = e1
% 194.97/32.01    (8)   ~ (all_52_14 = e3)
% 194.97/32.01    (9)  op(e1, e0) = all_52_14
% 194.97/32.01    (10)   ~ (all_52_7 = e1)
% 194.97/32.01    (11)   ~ (all_52_12 = e3)
% 194.97/32.01    (12)   ~ (all_52_2 = e3)
% 194.97/32.01    (13)   ~ (all_14_2 = e3)
% 194.97/32.01    (14)   ~ (e1 = e0)
% 194.97/32.01    (15)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 194.97/32.01          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 194.97/32.01    (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.97/32.01          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.97/32.01    (17)   ~ (e2 = e1)
% 194.97/32.01    (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.01          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/32.01    (19)  op(e3, e0) = all_52_12
% 194.97/32.01    (20)   ~ (e3 = e1)
% 194.97/32.01    (21)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.97/32.01    (22)  op(e0, e2) = all_52_7
% 194.97/32.01    (23)   ~ (e2 = e0)
% 194.97/32.01    (24)   ~ (e3 = e0)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (21) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (25)  all_56_12 = e1 & op(e0, e3) = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (25) implies:
% 194.97/32.01  | |   (26)  all_56_12 = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | BETA: splitting (16) gives:
% 194.97/32.01  | | 
% 194.97/32.01  | | Case 1:
% 194.97/32.01  | | | 
% 194.97/32.01  | | |   (27)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 194.97/32.01  | | |           e3)
% 194.97/32.01  | | | 
% 194.97/32.01  | | | BETA: splitting (27) gives:
% 194.97/32.01  | | | 
% 194.97/32.01  | | | Case 1:
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | |   (28)  all_56_0 = e3 & op(e3, e3) = e3
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | | ALPHA: (28) implies:
% 194.97/32.01  | | | |   (29)  op(e3, e3) = e3
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | | REF_CLOSE: (1), (6), (24), (29) are inconsistent by sub-proof #1961.
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | Case 2:
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | |   (30)  all_56_2 = e3 & op(e2, e3) = e3
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (11), (13), (14), (15),
% 194.97/32.01  | | | |            (17), (18), (19), (23), (24), (30) are inconsistent by
% 194.97/32.01  | | | |            sub-proof #1164.
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | End of split
% 194.97/32.01  | | | 
% 194.97/32.01  | | Case 2:
% 194.97/32.01  | | | 
% 194.97/32.01  | | |   (31)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 194.97/32.01  | | |           e3)
% 194.97/32.01  | | | 
% 194.97/32.01  | | | BETA: splitting (31) gives:
% 194.97/32.01  | | | 
% 194.97/32.01  | | | Case 1:
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | |   (32)  all_56_6 = e3 & op(e1, e3) = e3
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | | ALPHA: (32) implies:
% 194.97/32.01  | | | |   (33)  op(e1, e3) = e3
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | | REF_CLOSE: (2), (6), (12), (33) are inconsistent by sub-proof #1179.
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | Case 2:
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | |   (34)  all_56_12 = e3 & op(e0, e3) = e3
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | | REF_CLOSE: (20), (26), (34) are inconsistent by sub-proof #758.
% 194.97/32.01  | | | | 
% 194.97/32.01  | | | End of split
% 194.97/32.01  | | | 
% 194.97/32.01  | | End of split
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (35)  all_56_13 = e1 & op(e0, e2) = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | ALPHA: (35) implies:
% 194.97/32.01  | |   (36)  op(e0, e2) = e1
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (6), (10), (22), (36) are inconsistent by sub-proof #1649.
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #330 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.01         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.97/32.01    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (3)  op(e2, e2) = e1
% 194.97/32.01    (4)  all_56_13 = e2
% 194.97/32.01    (5)   ~ (e1 = e0)
% 194.97/32.01    (6)  all_56_7 = e2
% 194.97/32.01    (7)  all_56_1 = e3
% 194.97/32.01    (8)   ~ (e2 = e0)
% 194.97/32.01    (9)   ~ (e3 = e0)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | BETA: splitting (1) gives:
% 194.97/32.01  | 
% 194.97/32.01  | Case 1:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (10)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 194.97/32.01  | |           e0)
% 194.97/32.01  | | 
% 194.97/32.01  | | REF_CLOSE: (2), (3), (5), (7), (9), (10) are inconsistent by sub-proof #421.
% 194.97/32.01  | | 
% 194.97/32.01  | Case 2:
% 194.97/32.01  | | 
% 194.97/32.01  | |   (11)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 194.97/32.01  | |           e0)
% 194.97/32.01  | | 
% 194.97/32.01  | | BETA: splitting (11) gives:
% 194.97/32.01  | | 
% 194.97/32.01  | | Case 1:
% 194.97/32.01  | | | 
% 194.97/32.01  | | |   (12)  all_56_7 = e0 & op(e1, e2) = e0
% 194.97/32.01  | | | 
% 194.97/32.01  | | | REF_CLOSE: (6), (8), (12) are inconsistent by sub-proof #873.
% 194.97/32.01  | | | 
% 194.97/32.01  | | Case 2:
% 194.97/32.01  | | | 
% 194.97/32.01  | | |   (13)  all_56_13 = e0 & op(e0, e2) = e0
% 194.97/32.01  | | | 
% 194.97/32.01  | | | REF_CLOSE: (4), (8), (13) are inconsistent by sub-proof #1208.
% 194.97/32.01  | | | 
% 194.97/32.01  | | End of split
% 194.97/32.01  | | 
% 194.97/32.01  | End of split
% 194.97/32.01  | 
% 194.97/32.01  End of proof
% 194.97/32.01  
% 194.97/32.01  Sub-proof #331 shows that the following formulas are inconsistent:
% 194.97/32.01  ----------------------------------------------------------------
% 194.97/32.01    (1)   ~ (e3 = e2)
% 194.97/32.01    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.01    (3)  all_56_7 = e2 & op(e1, e2) = e2
% 194.97/32.01    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.01         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.01    (5)  all_56_7 = e0
% 194.97/32.01    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/32.01         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/32.01    (7)  all_56_5 = e0
% 194.97/32.01    (8)   ~ (e1 = e0)
% 194.97/32.01    (9)  all_56_4 = e2
% 194.97/32.01    (10)   ~ (e2 = e1)
% 194.97/32.01    (11)   ~ (e3 = e1)
% 194.97/32.01    (12)  op(e1, e1) = e3
% 194.97/32.01    (13)   ~ (e2 = e0)
% 194.97/32.01  
% 194.97/32.01  Begin of proof
% 194.97/32.01  | 
% 194.97/32.01  | ALPHA: (3) implies:
% 194.97/32.01  |   (14)  all_56_7 = e2
% 194.97/32.01  | 
% 194.97/32.01  | COMBINE_EQS: (5), (14) imply:
% 194.97/32.01  |   (15)  e2 = e0
% 194.97/32.01  | 
% 194.97/32.01  | COMBINE_EQS: (9), (15) imply:
% 194.97/32.01  |   (16)  all_56_4 = e0
% 194.97/32.01  | 
% 194.97/32.01  | REF_CLOSE: (1), (2), (4), (6), (7), (8), (10), (11), (12), (13), (16) are
% 194.97/32.01  |            inconsistent by sub-proof #1153.
% 194.97/32.01  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #332 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 194.97/32.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (3)  op(e3, e2) = all_52_4
% 194.97/32.02    (4)  op(e2, e2) = e1
% 194.97/32.02    (5)   ~ (all_52_4 = e2)
% 194.97/32.02    (6)   ~ (all_52_4 = e0)
% 194.97/32.02    (7)   ~ (all_52_4 = e1)
% 194.97/32.02    (8)   ~ (e2 = e1)
% 194.97/32.02    (9)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 194.97/32.02    (10)  all_54_1 = all_52_4
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (1) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (11)  all_56_1 = e2 & op(e3, e2) = e2
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (2), (3), (5), (6), (7), (9), (10), (11) are inconsistent by
% 194.97/32.02  | |            sub-proof #1896.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (12)  all_56_3 = e2 & op(e2, e2) = e2
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (12) implies:
% 194.97/32.02  | |   (13)  op(e2, e2) = e2
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (2), (4), (8), (13) are inconsistent by sub-proof #1783.
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #333 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 194.97/32.02    (2)   ~ (e3 = e2)
% 194.97/32.02    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (4)  op(e2, e2) = e1
% 194.97/32.02    (5)  op(e2, e3) = e2
% 194.97/32.02    (6)   ~ (e3 = e1)
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (1) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (7) implies:
% 194.97/32.02  | |   (8)  op(e2, e3) = e3
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1869.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (9) implies:
% 194.97/32.02  | |   (10)  op(e2, e2) = e3
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (3), (4), (6), (10) are inconsistent by sub-proof #1679.
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #334 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)   ~ (all_52_1 = all_52_9)
% 194.97/32.02    (2)   ~ (e3 = e2)
% 194.97/32.02    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (4)  op(e2, e2) = e1
% 194.97/32.02    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.02         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.02    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/32.02         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/32.02    (7)  op(e2, e0) = all_52_13
% 194.97/32.02    (8)  all_56_10 = e3
% 194.97/32.02    (9)  all_56_5 = e0
% 194.97/32.02    (10)   ~ (e1 = e0)
% 194.97/32.02    (11)  all_56_2 = e1
% 194.97/32.02    (12)  all_56_4 = e2
% 194.97/32.02    (13)   ~ (e2 = e1)
% 194.97/32.02    (14)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.02          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/32.02    (15)  op(e2, e1) = all_52_9
% 194.97/32.02    (16)   ~ (all_52_9 = all_52_13)
% 194.97/32.02    (17)   ~ (e3 = e1)
% 194.97/32.02    (18)  op(e1, e1) = e3
% 194.97/32.02    (19)   ~ (e2 = e0)
% 194.97/32.02    (20)  op(e2, e3) = all_52_1
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (14) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (21)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 194.97/32.02  | |           e2)
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (3), (4), (11), (13), (21) are inconsistent by sub-proof #474.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (22)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 194.97/32.02  | |           e2)
% 194.97/32.02  | | 
% 194.97/32.02  | | BETA: splitting (22) gives:
% 194.97/32.02  | | 
% 194.97/32.02  | | Case 1:
% 194.97/32.02  | | | 
% 194.97/32.02  | | |   (23)  all_56_5 = e2 & op(e2, e1) = e2
% 194.97/32.02  | | | 
% 194.97/32.02  | | | ALPHA: (23) implies:
% 194.97/32.02  | | |   (24)  op(e2, e1) = e2
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (13), (14),
% 194.97/32.02  | | |            (15), (16), (17), (18), (19), (20), (24) are inconsistent by
% 194.97/32.02  | | |            sub-proof #1133.
% 194.97/32.02  | | | 
% 194.97/32.02  | | Case 2:
% 194.97/32.02  | | | 
% 194.97/32.02  | | |   (25)  all_56_10 = e2 & op(e2, e0) = e2
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REF_CLOSE: (2), (8), (25) are inconsistent by sub-proof #1550.
% 194.97/32.02  | | | 
% 194.97/32.02  | | End of split
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #335 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)  op(e3, e3) = e0
% 194.97/32.02    (2)  op(e1, e3) = all_52_2
% 194.97/32.02    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (4)  op(e2, e2) = all_4_2
% 194.97/32.02    (5)  all_54_12 = all_52_3
% 194.97/32.02    (6)  all_54_12 = e1 | all_54_12 = e0
% 194.97/32.02    (7)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.02           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.02           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.02                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.02               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.02               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.02           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.97/32.02           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.02               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.02           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.02               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.97/32.02           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.97/32.02           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.97/32.02               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.02               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.02               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.02         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.97/32.02           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.02           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.97/32.02               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.02             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.02    (8)   ~ (all_4_2 = e3)
% 194.97/32.02    (9)   ~ (e1 = e0)
% 194.97/32.02    (10)   ~ (all_52_3 = e0)
% 194.97/32.02    (11)   ~ (all_52_2 = all_52_3)
% 194.97/32.02    (12)   ~ (e2 = e0)
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (7) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (13)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.02  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.02  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.02  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.02  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.02  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 194.97/32.02  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.97/32.02  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 194.97/32.02  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.02  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.02  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.02  | |               $i(all_57_2))))
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (1), (3), (4), (8), (12), (13) are inconsistent by sub-proof
% 194.97/32.02  | |            #352.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (14)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.97/32.02  | |           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.02  | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.02  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.02  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.02  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6
% 194.97/32.02  | |           = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.97/32.02  | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 =
% 194.97/32.02  | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.02  | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.02  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.02  | |               $i(all_57_2))))
% 194.97/32.02  | | 
% 194.97/32.02  | | BETA: splitting (14) gives:
% 194.97/32.02  | | 
% 194.97/32.02  | | Case 1:
% 194.97/32.02  | | | 
% 194.97/32.02  | | |   (15)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.97/32.02  | | |         op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.02  | | |         $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.02  | | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.02  | | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.02  | | |               e1) = all_57_8 & $i(all_57_8)))
% 194.97/32.02  | | | 
% 194.97/32.02  | | | ALPHA: (15) implies:
% 194.97/32.02  | | |   (16)  op(e3, e3) = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REF_CLOSE: (1), (3), (9), (16) are inconsistent by sub-proof #1937.
% 194.97/32.02  | | | 
% 194.97/32.02  | | Case 2:
% 194.97/32.02  | | | 
% 194.97/32.02  | | |   (17)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.97/32.02  | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.02  | | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.02  | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.02  | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.02  | | |               e3) = all_57_2 & $i(all_57_2)))
% 194.97/32.02  | | | 
% 194.97/32.02  | | | ALPHA: (17) implies:
% 194.97/32.02  | | |   (18)  op(e1, e3) = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REF_CLOSE: (2), (3), (5), (6), (10), (11), (18) are inconsistent by
% 194.97/32.02  | | |            sub-proof #336.
% 194.97/32.02  | | | 
% 194.97/32.02  | | End of split
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #336 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)  op(e1, e3) = all_52_2
% 194.97/32.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (3)  all_54_12 = all_52_3
% 194.97/32.02    (4)  all_54_12 = e1 | all_54_12 = e0
% 194.97/32.02    (5)  op(e1, e3) = e1
% 194.97/32.02    (6)   ~ (all_52_3 = e0)
% 194.97/32.02    (7)   ~ (all_52_2 = all_52_3)
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (4) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (8)  all_54_12 = e1
% 194.97/32.02  | | 
% 194.97/32.02  | | COMBINE_EQS: (3), (8) imply:
% 194.97/32.02  | |   (9)  all_52_3 = e1
% 194.97/32.02  | | 
% 194.97/32.02  | | SIMP: (9) implies:
% 194.97/32.02  | |   (10)  all_52_3 = e1
% 194.97/32.02  | | 
% 194.97/32.02  | | REDUCE: (7), (10) imply:
% 194.97/32.02  | |   (11)   ~ (all_52_2 = e1)
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (1), (2), (5), (11) are inconsistent by sub-proof #1974.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (12)  all_54_12 = e0
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (3), (6), (12) are inconsistent by sub-proof #1098.
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #337 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)   ~ (all_52_3 = e2)
% 194.97/32.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (3)   ~ (all_52_3 = all_52_7)
% 194.97/32.02    (4)  all_54_12 = all_52_3
% 194.97/32.02    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 194.97/32.02         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 194.97/32.02    (6)  all_56_12 = e3
% 194.97/32.02    (7)   ~ (e1 = e0)
% 194.97/32.02    (8)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.97/32.02    (9)   ~ (e2 = e1)
% 194.97/32.02    (10)  all_56_14 = e0
% 194.97/32.02    (11)   ~ (all_52_3 = e0)
% 194.97/32.02    (12)  op(e0, e0) = e2
% 194.97/32.02    (13)   ~ (e3 = e1)
% 194.97/32.02    (14)  op(e0, e2) = all_52_7
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (5) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 194.97/32.02  | |           e1)
% 194.97/32.02  | | 
% 194.97/32.02  | | BETA: splitting (15) gives:
% 194.97/32.02  | | 
% 194.97/32.02  | | Case 1:
% 194.97/32.02  | | | 
% 194.97/32.02  | | |   (16)  all_56_12 = e1 & op(e0, e3) = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | ALPHA: (16) implies:
% 194.97/32.02  | | |   (17)  all_56_12 = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REF_CLOSE: (6), (13), (17) are inconsistent by sub-proof #1674.
% 194.97/32.02  | | | 
% 194.97/32.02  | | Case 2:
% 194.97/32.02  | | | 
% 194.97/32.02  | | |   (18)  all_56_13 = e1 & op(e0, e2) = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | ALPHA: (18) implies:
% 194.97/32.02  | | |   (19)  op(e0, e2) = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REF_CLOSE: (1), (2), (3), (4), (8), (11), (14), (19) are inconsistent by
% 194.97/32.02  | | |            sub-proof #338.
% 194.97/32.02  | | | 
% 194.97/32.02  | | End of split
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (20)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 194.97/32.02  | |           e1)
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (2), (7), (9), (10), (12), (20) are inconsistent by sub-proof
% 194.97/32.02  | |            #1126.
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #338 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)   ~ (all_52_3 = e2)
% 194.97/32.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (3)   ~ (all_52_3 = all_52_7)
% 194.97/32.02    (4)  all_54_12 = all_52_3
% 194.97/32.02    (5)  op(e0, e2) = e1
% 194.97/32.02    (6)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.97/32.02    (7)   ~ (all_52_3 = e0)
% 194.97/32.02    (8)  op(e0, e2) = all_52_7
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (6) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (9)  all_54_12 = e2
% 194.97/32.02  | | 
% 194.97/32.02  | | COMBINE_EQS: (4), (9) imply:
% 194.97/32.02  | |   (10)  all_52_3 = e2
% 194.97/32.02  | | 
% 194.97/32.02  | | REDUCE: (1), (10) imply:
% 194.97/32.02  | |   (11)  $false
% 194.97/32.02  | | 
% 194.97/32.02  | | CLOSE: (11) is inconsistent.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (12)  all_54_12 = e1 | all_54_12 = e0
% 194.97/32.02  | | 
% 194.97/32.02  | | BETA: splitting (12) gives:
% 194.97/32.02  | | 
% 194.97/32.02  | | Case 1:
% 194.97/32.02  | | | 
% 194.97/32.02  | | |   (13)  all_54_12 = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | COMBINE_EQS: (4), (13) imply:
% 194.97/32.02  | | |   (14)  all_52_3 = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | SIMP: (14) implies:
% 194.97/32.02  | | |   (15)  all_52_3 = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REDUCE: (3), (15) imply:
% 194.97/32.02  | | |   (16)   ~ (all_52_7 = e1)
% 194.97/32.02  | | | 
% 194.97/32.02  | | | SIMP: (16) implies:
% 194.97/32.02  | | |   (17)   ~ (all_52_7 = e1)
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REF_CLOSE: (2), (5), (8), (17) are inconsistent by sub-proof #1649.
% 194.97/32.02  | | | 
% 194.97/32.02  | | Case 2:
% 194.97/32.02  | | | 
% 194.97/32.02  | | |   (18)  all_54_12 = e0
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REF_CLOSE: (4), (7), (18) are inconsistent by sub-proof #1098.
% 194.97/32.02  | | | 
% 194.97/32.02  | | End of split
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #339 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)  all_56_11 = e0
% 194.97/32.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (3)   ~ (e1 = e0)
% 194.97/32.02    (4)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.97/32.02    (5)   ~ (e3 = e1)
% 194.97/32.02    (6)  op(e1, e1) = e3
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (4) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (7) implies:
% 194.97/32.02  | |   (8)  op(e1, e1) = e1
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1978.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (9)  all_56_11 = e1 & op(e1, e0) = e1
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (9) implies:
% 194.97/32.02  | |   (10)  all_56_11 = e1
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #479.
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #340 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)  op(e3, e3) = e0
% 194.97/32.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (3)  op(e2, e2) = all_4_2
% 194.97/32.02    (4)   ~ (all_4_2 = e3)
% 194.97/32.02    (5)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.97/32.02           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.02           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.02                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.97/32.02               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.02               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.02           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 194.97/32.02           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.02               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.02           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.02               = all_57_2 & $i(all_57_2))))
% 194.97/32.02    (6)  all_30_2 = e3
% 194.97/32.02    (7)   ~ (all_30_2 = e3) | ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 194.97/32.02           op(e1, e3) = all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 =
% 194.97/32.02             e0) & op(e1, e3) = all_30_1 & $i(all_30_1))
% 194.97/32.02    (8)   ~ (e1 = e0)
% 194.97/32.02    (9)  op(e2, e3) = e2
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (5) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (10)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.97/32.02  | |         op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.02  | |         $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 194.97/32.02  | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 =
% 194.97/32.02  | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.97/32.02  | |             all_57_8 & $i(all_57_8)))
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (10) implies:
% 194.97/32.02  | |   (11)  op(e3, e3) = e1
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (1), (2), (8), (11) are inconsistent by sub-proof #1937.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (12)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.97/32.02  | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.02  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.97/32.02  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 194.97/32.02  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.02  | |             all_57_2 & $i(all_57_2)))
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (12) implies:
% 194.97/32.02  | |   (13)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.97/32.02  | |             e3) = all_57_0 & $i(all_57_0))
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (2), (3), (4), (6), (7), (9), (13) are inconsistent by sub-proof
% 194.97/32.02  | |            #1255.
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #341 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)   ~ (all_52_13 = e2)
% 194.97/32.02    (2)   ~ (e3 = e2)
% 194.97/32.02    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (4)  op(e2, e0) = all_52_13
% 194.97/32.02    (5)  all_56_10 = e3
% 194.97/32.02    (6)  all_56_2 = e3
% 194.97/32.02    (7)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.97/32.02         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.97/32.02    (8)   ~ (e1 = e0)
% 194.97/32.02    (9)   ~ (e2 = e1)
% 194.97/32.02    (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.02          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/32.02    (11)  op(e2, e3) = e3
% 194.97/32.02    (12)  op(e2, e2) = e0
% 194.97/32.02    (13)   ~ (e3 = e1)
% 194.97/32.02    (14)   ~ (e2 = e0)
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (7) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (15)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 194.97/32.02  | |           e1)
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (3), (6), (8), (12), (13), (15) are inconsistent by sub-proof
% 194.97/32.02  | |            #691.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (16)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 194.97/32.02  | |           e1)
% 194.97/32.02  | | 
% 194.97/32.02  | | BETA: splitting (16) gives:
% 194.97/32.02  | | 
% 194.97/32.02  | | Case 1:
% 194.97/32.02  | | | 
% 194.97/32.02  | | |   (17)  all_56_5 = e1 & op(e2, e1) = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | ALPHA: (17) implies:
% 194.97/32.02  | | |   (18)  op(e2, e1) = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REF_CLOSE: (1), (2), (3), (4), (9), (10), (11), (12), (14), (18) are
% 194.97/32.02  | | |            inconsistent by sub-proof #1413.
% 194.97/32.02  | | | 
% 194.97/32.02  | | Case 2:
% 194.97/32.02  | | | 
% 194.97/32.02  | | |   (19)  all_56_10 = e1 & op(e2, e0) = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | ALPHA: (19) implies:
% 194.97/32.02  | | |   (20)  all_56_10 = e1
% 194.97/32.02  | | | 
% 194.97/32.02  | | | REF_CLOSE: (5), (13), (20) are inconsistent by sub-proof #1742.
% 194.97/32.02  | | | 
% 194.97/32.02  | | End of split
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #342 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)  all_56_11 = e1 & op(e1, e0) = e1
% 194.97/32.02    (2)  all_56_11 = e0
% 194.97/32.02    (3)   ~ (e1 = e0)
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | ALPHA: (1) implies:
% 194.97/32.02  |   (4)  all_56_11 = e1
% 194.97/32.02  | 
% 194.97/32.02  | COMBINE_EQS: (2), (4) imply:
% 194.97/32.02  |   (5)  e1 = e0
% 194.97/32.02  | 
% 194.97/32.02  | REDUCE: (3), (5) imply:
% 194.97/32.02  |   (6)  $false
% 194.97/32.02  | 
% 194.97/32.02  | CLOSE: (6) is inconsistent.
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #343 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 & $i(all_20_1)
% 194.97/32.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (3)  op(e1, e3) = e2
% 194.97/32.02    (4)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 & op(e1, e3) = all_30_1
% 194.97/32.02           & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3) =
% 194.97/32.02           all_30_1 & $i(all_30_1))
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | ALPHA: (1) implies:
% 194.97/32.02  |   (5)   ~ (all_20_1 = e2)
% 194.97/32.02  |   (6)  op(e1, e3) = all_20_1
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (4) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (7)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 & op(e1, e3) =
% 194.97/32.02  | |        all_30_1 & $i(all_30_0) & $i(all_30_1)
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (7) implies:
% 194.97/32.02  | |   (8)  op(e1, e3) = all_30_1
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (2), (3), (5), (6), (8) are inconsistent by sub-proof #1267.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (9)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 & $i(all_30_1)
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (9) implies:
% 194.97/32.02  | |   (10)  op(e1, e3) = all_30_1
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (2), (3), (5), (6), (10) are inconsistent by sub-proof #1267.
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #344 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)  op(e1, e2) = all_52_6
% 194.97/32.02    (2)  all_56_11 = e1
% 194.97/32.02    (3)   ~ (e3 = e2)
% 194.97/32.02    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.02    (5)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.97/32.02    (6)   ~ (all_52_14 = e3)
% 194.97/32.02    (7)  op(e1, e0) = all_52_14
% 194.97/32.02    (8)  all_56_6 = e2
% 194.97/32.02    (9)   ~ (e1 = e0)
% 194.97/32.02    (10)   ~ (all_52_6 = e3)
% 194.97/32.02    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.97/32.02          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.97/32.02    (12)   ~ (e3 = e0)
% 194.97/32.02  
% 194.97/32.02  Begin of proof
% 194.97/32.02  | 
% 194.97/32.02  | BETA: splitting (5) gives:
% 194.97/32.02  | 
% 194.97/32.02  | Case 1:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (13)  all_56_8 = e0 & op(e1, e1) = e0
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (13) implies:
% 194.97/32.02  | |   (14)  op(e1, e1) = e0
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (10), (11), (12), (14) are
% 194.97/32.02  | |            inconsistent by sub-proof #1405.
% 194.97/32.02  | | 
% 194.97/32.02  | Case 2:
% 194.97/32.02  | | 
% 194.97/32.02  | |   (15)  all_56_11 = e0 & op(e1, e0) = e0
% 194.97/32.02  | | 
% 194.97/32.02  | | ALPHA: (15) implies:
% 194.97/32.02  | |   (16)  all_56_11 = e0
% 194.97/32.02  | | 
% 194.97/32.02  | | REF_CLOSE: (2), (9), (16) are inconsistent by sub-proof #479.
% 194.97/32.02  | | 
% 194.97/32.02  | End of split
% 194.97/32.02  | 
% 194.97/32.02  End of proof
% 194.97/32.02  
% 194.97/32.02  Sub-proof #345 shows that the following formulas are inconsistent:
% 194.97/32.02  ----------------------------------------------------------------
% 194.97/32.02    (1)  op(e3, e3) = e0
% 194.97/32.02    (2)   ~ (all_52_1 = all_20_0)
% 194.97/32.02    (3)  all_56_1 = e1
% 194.97/32.03    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.03           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.03           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.03                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.03               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.03               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.03           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.97/32.03           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.03               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.03           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.03               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.97/32.03           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.97/32.03           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.97/32.03               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.03               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.03               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.03         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.97/32.03           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.03           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.97/32.03               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.03             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.03         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.03           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.03           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.03                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.03               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.03               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.03           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.03           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.03             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.03           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.03               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.97/32.03           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.03           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.97/32.03               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.03               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.03               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.03         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.97/32.03           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.03           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.97/32.03               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.03             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.03         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.03           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.03           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.03                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.03               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.03               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.03           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.03             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.03               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.03           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.03               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.03           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.03           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.97/32.03               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.03               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.03               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.03         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.97/32.03           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.03           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.03               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.97/32.03             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.97/32.03         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.03             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.03           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.03               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.03             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.03         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.97/32.03             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.03           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.03               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.03             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.03         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.03             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.03           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.03               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.03             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.03         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.03             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.03           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.03               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.03             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.03    (5)  all_54_4 = all_52_1
% 194.97/32.03    (6)  op(e1, e2) = all_52_6
% 194.97/32.03    (7)  all_54_7 = all_52_13
% 194.97/32.03    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.97/32.03         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.97/32.03    (9)   ~ (all_52_1 = e0)
% 194.97/32.03    (10)   ~ (all_52_3 = e2)
% 194.97/32.03    (11)   ~ (all_52_7 = e2)
% 194.97/32.03    (12)  op(e3, e2) = e1
% 194.97/32.03    (13)  op(e3, e0) = e3
% 194.97/32.03    (14)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.03          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.97/32.03    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.97/32.03          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.97/32.03    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.97/32.03          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.97/32.03    (17)   ~ (all_52_13 = e2)
% 194.97/32.03    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.03    (19)  op(e3, e2) = all_52_4
% 194.97/32.03    (20)  op(e2, e2) = all_4_2
% 194.97/32.03    (21)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.97/32.03    (22)   ~ (all_52_7 = all_52_11)
% 194.97/32.03    (23)  all_56_7 = e0
% 194.97/32.03    (24)   ~ (all_52_3 = all_52_7)
% 194.97/32.03    (25)  all_54_12 = all_52_3
% 194.97/32.03    (26)   ~ (all_52_4 = all_52_8)
% 194.97/32.03    (27)  all_54_13 = all_52_7
% 194.97/32.03    (28)   ~ (all_52_4 = all_52_7)
% 194.97/32.03    (29)   ~ (all_52_4 = e2)
% 194.97/32.03    (30)   ~ (all_52_4 = e0)
% 194.97/32.03    (31)  op(e0, e3) = all_52_3
% 194.97/32.03    (32)  op(e2, e0) = all_52_13
% 194.97/32.03    (33)  op(e1, e0) = all_52_14
% 194.97/32.03    (34)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.03          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/32.03    (35)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.97/32.03              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.97/32.03            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.97/32.03            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.97/32.03            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.03            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.97/32.03            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.97/32.03            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.97/32.03            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.97/32.03            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.97/32.03            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.03            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.97/32.03            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.03            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.03            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.97/32.03            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.03            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.03            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.97/32.03            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.03            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.97/32.03            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.97/32.03            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.03            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.03            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.97/32.03            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/32.03            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/32.03            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/32.03            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/32.03            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.03            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.97/32.03            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/32.03            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.97/32.03            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/32.03            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.03            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.03            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.97/32.03            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.03            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.03            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.97/32.03            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.03            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.97/32.03            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.97/32.03            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/32.03            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.97/32.03            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.97/32.03            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/32.03            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/32.03            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/32.03              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.97/32.03            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.03            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/32.03              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.97/32.03            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/32.03            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.97/32.03                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.97/32.03                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.03                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.03                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.03                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.97/32.03                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.97/32.03                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/32.03              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/32.03                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.97/32.03                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/32.03                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.03                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.97/32.03                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/32.03                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.03                $i(all_57_7))))
% 194.97/32.03    (36)  all_56_6 = e2
% 194.97/32.03    (37)   ~ (all_20_0 = e0)
% 194.97/32.03    (38)  op(e0, e1) = all_52_11
% 194.97/32.03    (39)   ~ (all_4_2 = e3)
% 194.97/32.03    (40)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.97/32.03    (41)  all_56_2 = e3
% 194.97/32.03    (42)   ~ (e1 = e0)
% 194.97/32.03    (43)   ~ (all_52_1 = all_52_13)
% 194.97/32.03    (44)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.97/32.03    (45)   ~ (all_52_11 = e3)
% 194.97/32.03    (46)   ~ (all_52_6 = e3)
% 194.97/32.03    (47)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/32.03    (48)   ~ (all_52_13 = all_52_14)
% 194.97/32.03    (49)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/32.03    (50)   ~ (all_52_1 = e2)
% 194.97/32.03    (51)   ~ (e2 = e1)
% 194.97/32.03    (52)  all_54_14 = all_52_11
% 194.97/32.03    (53)  op(e1, e0) = e1
% 194.97/32.03    (54)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 194.97/32.03    (55)   ~ (all_52_3 = e0)
% 194.97/32.03    (56)  op(e2, e2) = e2
% 194.97/32.03    (57)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.97/32.03            $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.97/32.03            & $i(all_8_1))
% 194.97/32.03    (58)  all_54_6 = e1 | all_54_6 = e0
% 194.97/32.03    (59)   ~ (all_52_1 = all_52_3)
% 194.97/32.03    (60)  op(e3, e1) = all_52_8
% 194.97/32.03    (61)  op(e0, e0) = e2
% 194.97/32.03    (62)   ~ (e3 = e1)
% 194.97/32.03    (63)  all_54_1 = all_52_4
% 194.97/32.03    (64)  all_54_6 = all_20_0
% 194.97/32.03    (65)  op(e0, e2) = all_52_7
% 194.97/32.03    (66)  op(e1, e1) = e3
% 194.97/32.03    (67)  op(e2, e3) = all_52_1
% 194.97/32.03    (68)   ~ (all_52_13 = all_20_0)
% 194.97/32.03    (69)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 194.97/32.03            $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 194.97/32.03            & $i(all_6_1))
% 194.97/32.03    (70)   ~ (all_52_3 = all_52_11)
% 194.97/32.03    (71)   ~ (all_52_11 = e2)
% 194.97/32.03  
% 194.97/32.03  Begin of proof
% 194.97/32.03  | 
% 194.97/32.03  | BETA: splitting (16) gives:
% 194.97/32.03  | 
% 194.97/32.03  | Case 1:
% 194.97/32.03  | | 
% 194.97/32.03  | |   (72)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 194.97/32.03  | |           e1)
% 194.97/32.03  | | 
% 194.97/32.03  | | REF_CLOSE: (1), (18), (41), (42), (62), (72) are inconsistent by sub-proof
% 194.97/32.03  | |            #1459.
% 194.97/32.03  | | 
% 194.97/32.03  | Case 2:
% 194.97/32.03  | | 
% 194.97/32.03  | |   (73)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 194.97/32.03  | |           e1)
% 194.97/32.03  | | 
% 194.97/32.03  | | BETA: splitting (73) gives:
% 194.97/32.03  | | 
% 194.97/32.03  | | Case 1:
% 194.97/32.03  | | | 
% 194.97/32.03  | | |   (74)  all_56_6 = e1 & op(e1, e3) = e1
% 194.97/32.03  | | | 
% 194.97/32.03  | | | ALPHA: (74) implies:
% 194.97/32.03  | | |   (75)  all_56_6 = e1
% 194.97/32.03  | | | 
% 194.97/32.03  | | | REF_CLOSE: (36), (51), (75) are inconsistent by sub-proof #1779.
% 194.97/32.03  | | | 
% 194.97/32.03  | | Case 2:
% 194.97/32.03  | | | 
% 194.97/32.03  | | |   (76)  all_56_12 = e1 & op(e0, e3) = e1
% 194.97/32.03  | | | 
% 194.97/32.03  | | | ALPHA: (76) implies:
% 194.97/32.03  | | |   (77)  all_56_12 = e1
% 194.97/32.03  | | | 
% 194.97/32.03  | | | BETA: splitting (58) gives:
% 194.97/32.03  | | | 
% 194.97/32.03  | | | Case 1:
% 194.97/32.03  | | | | 
% 194.97/32.03  | | | |   (78)  all_54_6 = e1
% 194.97/32.03  | | | | 
% 194.97/32.03  | | | | COMBINE_EQS: (64), (78) imply:
% 194.97/32.03  | | | |   (79)  all_20_0 = e1
% 194.97/32.03  | | | | 
% 194.97/32.03  | | | | SIMP: (79) implies:
% 194.97/32.03  | | | |   (80)  all_20_0 = e1
% 194.97/32.03  | | | | 
% 194.97/32.03  | | | | REDUCE: (2), (80) imply:
% 194.97/32.03  | | | |   (81)   ~ (all_52_1 = e1)
% 194.97/32.03  | | | | 
% 194.97/32.03  | | | | REDUCE: (68), (80) imply:
% 194.97/32.03  | | | |   (82)   ~ (all_52_13 = e1)
% 194.97/32.03  | | | | 
% 194.97/32.03  | | | | BETA: splitting (44) gives:
% 194.97/32.03  | | | | 
% 194.97/32.03  | | | | Case 1:
% 194.97/32.03  | | | | | 
% 194.97/32.03  | | | | |   (83)  all_54_4 = e3
% 194.97/32.03  | | | | | 
% 194.97/32.03  | | | | | COMBINE_EQS: (5), (83) imply:
% 194.97/32.03  | | | | |   (84)  all_52_1 = e3
% 194.97/32.03  | | | | | 
% 194.97/32.03  | | | | | REDUCE: (59), (84) imply:
% 194.97/32.03  | | | | |   (85)   ~ (all_52_3 = e3)
% 194.97/32.03  | | | | | 
% 194.97/32.03  | | | | | SIMP: (85) implies:
% 194.97/32.03  | | | | |   (86)   ~ (all_52_3 = e3)
% 194.97/32.03  | | | | | 
% 194.97/32.03  | | | | | REDUCE: (43), (84) imply:
% 194.97/32.03  | | | | |   (87)   ~ (all_52_13 = e3)
% 194.97/32.03  | | | | | 
% 194.97/32.03  | | | | | SIMP: (87) implies:
% 194.97/32.03  | | | | |   (88)   ~ (all_52_13 = e3)
% 194.97/32.03  | | | | | 
% 194.97/32.03  | | | | | REDUCE: (67), (84) imply:
% 194.97/32.03  | | | | |   (89)  op(e2, e3) = e3
% 194.97/32.03  | | | | | 
% 194.97/32.03  | | | | | BETA: splitting (40) gives:
% 194.97/32.03  | | | | | 
% 194.97/32.03  | | | | | Case 1:
% 194.97/32.03  | | | | | | 
% 194.97/32.03  | | | | | |   (90)  all_54_7 = e3
% 194.97/32.03  | | | | | | 
% 194.97/32.03  | | | | | | REF_CLOSE: (7), (88), (90) are inconsistent by sub-proof #1484.
% 194.97/32.03  | | | | | | 
% 194.97/32.03  | | | | | Case 2:
% 194.97/32.03  | | | | | | 
% 194.97/32.03  | | | | | |   (91)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.97/32.03  | | | | | | 
% 194.97/32.03  | | | | | | BETA: splitting (47) gives:
% 194.97/32.03  | | | | | | 
% 194.97/32.03  | | | | | | Case 1:
% 194.97/32.03  | | | | | | | 
% 194.97/32.03  | | | | | | |   (92)  all_54_14 = e3
% 194.97/32.03  | | | | | | | 
% 194.97/32.03  | | | | | | | REF_CLOSE: (45), (52), (92) are inconsistent by sub-proof #1260.
% 194.97/32.03  | | | | | | | 
% 194.97/32.03  | | | | | | Case 2:
% 194.97/32.03  | | | | | | | 
% 194.97/32.03  | | | | | | |   (93)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/32.03  | | | | | | | 
% 194.97/32.03  | | | | | | | BETA: splitting (91) gives:
% 194.97/32.03  | | | | | | | 
% 194.97/32.03  | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | 
% 194.97/32.03  | | | | | | | |   (94)  all_54_7 = e2
% 194.97/32.03  | | | | | | | | 
% 194.97/32.03  | | | | | | | | REF_CLOSE: (7), (17), (94) are inconsistent by sub-proof #1483.
% 194.97/32.03  | | | | | | | | 
% 194.97/32.03  | | | | | | | Case 2:
% 194.97/32.03  | | | | | | | | 
% 194.97/32.03  | | | | | | | |   (95)   ~ (all_54_7 = e2)
% 194.97/32.03  | | | | | | | |   (96)  all_54_7 = e1 | all_54_7 = e0
% 194.97/32.03  | | | | | | | | 
% 194.97/32.03  | | | | | | | | BETA: splitting (96) gives:
% 194.97/32.03  | | | | | | | | 
% 194.97/32.03  | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | 
% 194.97/32.03  | | | | | | | | |   (97)  all_54_7 = e1
% 194.97/32.03  | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | REF_CLOSE: (7), (82), (97) are inconsistent by sub-proof
% 194.97/32.03  | | | | | | | | |            #1446.
% 194.97/32.03  | | | | | | | | | 
% 194.97/32.03  | | | | | | | | Case 2:
% 194.97/32.03  | | | | | | | | | 
% 194.97/32.03  | | | | | | | | |   (98)  all_54_7 = e0
% 194.97/32.03  | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | COMBINE_EQS: (7), (98) imply:
% 194.97/32.03  | | | | | | | | |   (99)  all_52_13 = e0
% 194.97/32.03  | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | SIMP: (99) implies:
% 194.97/32.03  | | | | | | | | |   (100)  all_52_13 = e0
% 194.97/32.03  | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | REDUCE: (48), (100) imply:
% 194.97/32.03  | | | | | | | | |   (101)   ~ (all_52_14 = e0)
% 194.97/32.03  | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | SIMP: (101) implies:
% 194.97/32.03  | | | | | | | | |   (102)   ~ (all_52_14 = e0)
% 194.97/32.03  | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | BETA: splitting (21) gives:
% 194.97/32.03  | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | |   (103)  all_54_12 = e3
% 194.97/32.03  | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | REF_CLOSE: (25), (86), (103) are inconsistent by sub-proof
% 194.97/32.03  | | | | | | | | | |            #1466.
% 194.97/32.03  | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | Case 2:
% 194.97/32.03  | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | |   (104)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.97/32.03  | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | BETA: splitting (104) gives:
% 194.97/32.03  | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | |   (105)  all_54_12 = e2
% 194.97/32.03  | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | REF_CLOSE: (10), (25), (105) are inconsistent by sub-proof
% 194.97/32.03  | | | | | | | | | | |            #1465.
% 194.97/32.03  | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | Case 2:
% 194.97/32.03  | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | |   (106)   ~ (all_54_12 = e2)
% 194.97/32.03  | | | | | | | | | | |   (107)  all_54_12 = e1 | all_54_12 = e0
% 194.97/32.03  | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | BETA: splitting (93) gives:
% 194.97/32.03  | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | |   (108)  all_54_14 = e2
% 194.97/32.03  | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | REF_CLOSE: (52), (71), (108) are inconsistent by sub-proof
% 194.97/32.03  | | | | | | | | | | | |            #1740.
% 194.97/32.03  | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | Case 2:
% 194.97/32.03  | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | |   (109)   ~ (all_54_14 = e2)
% 194.97/32.03  | | | | | | | | | | | |   (110)  all_54_14 = e1 | all_54_14 = e0
% 194.97/32.03  | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | BETA: splitting (34) gives:
% 194.97/32.03  | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | |   (111)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 194.97/32.03  | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 194.97/32.03  | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | REF_CLOSE: (12), (18), (20), (39), (62), (111) are
% 194.97/32.03  | | | | | | | | | | | | |            inconsistent by sub-proof #738.
% 194.97/32.03  | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | Case 2:
% 194.97/32.03  | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | |   (112)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 194.97/32.03  | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 194.97/32.03  | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | BETA: splitting (112) gives:
% 194.97/32.03  | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | |   (113)  all_56_7 = e3 & op(e1, e2) = e3
% 194.97/32.03  | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | ALPHA: (113) implies:
% 194.97/32.03  | | | | | | | | | | | | | |   (114)  op(e1, e2) = e3
% 194.97/32.03  | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | REF_CLOSE: (6), (18), (46), (114) are inconsistent by
% 194.97/32.03  | | | | | | | | | | | | | |            sub-proof #1408.
% 194.97/32.03  | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | Case 2:
% 194.97/32.03  | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | |   (115)  all_56_13 = e3 & op(e0, e2) = e3
% 194.97/32.03  | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | ALPHA: (115) implies:
% 194.97/32.03  | | | | | | | | | | | | | |   (116)  all_56_13 = e3
% 194.97/32.03  | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 194.97/32.03  | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | |   (117)  all_54_12 = e1
% 194.97/32.03  | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | COMBINE_EQS: (25), (117) imply:
% 194.97/32.03  | | | | | | | | | | | | | | |   (118)  all_52_3 = e1
% 194.97/32.03  | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | SIMP: (118) implies:
% 194.97/32.03  | | | | | | | | | | | | | | |   (119)  all_52_3 = e1
% 194.97/32.03  | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | REDUCE: (24), (119) imply:
% 194.97/32.03  | | | | | | | | | | | | | | |   (120)   ~ (all_52_7 = e1)
% 194.97/32.03  | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | SIMP: (120) implies:
% 194.97/32.03  | | | | | | | | | | | | | | |   (121)   ~ (all_52_7 = e1)
% 194.97/32.03  | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | REDUCE: (70), (119) imply:
% 194.97/32.03  | | | | | | | | | | | | | | |   (122)   ~ (all_52_11 = e1)
% 194.97/32.03  | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | SIMP: (122) implies:
% 194.97/32.03  | | | | | | | | | | | | | | |   (123)   ~ (all_52_11 = e1)
% 194.97/32.03  | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | REDUCE: (10), (119) imply:
% 194.97/32.03  | | | | | | | | | | | | | | |   (124)   ~ (e2 = e1)
% 194.97/32.03  | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 194.97/32.03  | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | |   (125)  all_54_14 = e1
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | REF_CLOSE: (52), (123), (125) are inconsistent by sub-proof
% 194.97/32.03  | | | | | | | | | | | | | | | |            #1739.
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | Case 2:
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | |   (126)  all_54_14 = e0
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (126) imply:
% 194.97/32.03  | | | | | | | | | | | | | | | |   (127)  all_52_11 = e0
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | SIMP: (127) implies:
% 194.97/32.03  | | | | | | | | | | | | | | | |   (128)  all_52_11 = e0
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | REDUCE: (22), (128) imply:
% 194.97/32.03  | | | | | | | | | | | | | | | |   (129)   ~ (all_52_7 = e0)
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | REDUCE: (71), (128) imply:
% 194.97/32.03  | | | | | | | | | | | | | | | |   (130)   ~ (e2 = e0)
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | SIMP: (130) implies:
% 194.97/32.03  | | | | | | | | | | | | | | | |   (131)   ~ (e2 = e0)
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | REDUCE: (123), (128) imply:
% 194.97/32.03  | | | | | | | | | | | | | | | |   (132)   ~ (e1 = e0)
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 194.97/32.03  | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | |   (133)  all_54_13 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (133) imply:
% 194.97/32.03  | | | | | | | | | | | | | | | | |   (134)  all_52_7 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | SIMP: (134) implies:
% 194.97/32.03  | | | | | | | | | | | | | | | | |   (135)  all_52_7 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | REDUCE: (28), (135) imply:
% 194.97/32.03  | | | | | | | | | | | | | | | | |   (136)   ~ (all_52_4 = e3)
% 194.97/32.03  | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | REDUCE: (11), (135) imply:
% 194.97/32.03  | | | | | | | | | | | | | | | | |   (137)   ~ (e3 = e2)
% 194.97/32.03  | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | REDUCE: (129), (135) imply:
% 194.97/32.03  | | | | | | | | | | | | | | | | |   (138)   ~ (e3 = e0)
% 194.97/32.03  | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 194.97/32.03  | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | |   (139)  all_54_1 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (139) imply:
% 194.97/32.03  | | | | | | | | | | | | | | | | | |   (140)  all_52_4 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | REDUCE: (136), (140) imply:
% 194.97/32.03  | | | | | | | | | | | | | | | | | |   (141)  $false
% 194.97/32.03  | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | CLOSE: (141) is inconsistent.
% 194.97/32.03  | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | |   (142)   ~ (all_54_1 = e3)
% 194.97/32.03  | | | | | | | | | | | | | | | | | |   (143)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 194.97/32.03  | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |   (144)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |   (145)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |   (146)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (20), (39), (136), (146) are
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1530.
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |   (147)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.03  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |   (148)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |   (149)  op(e3, e3) = e1
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (18), (42), (149) are inconsistent by
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1937.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |   (150)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |   (151)  op(e3, e1) = e1
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (26), (29), (30), (60), (63), (143), (151)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #694.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |   (152)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |   (153)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (31), (53), (55), (66), (138), (153) are
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #347.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |   (154)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (51), (56), (66), (137), (154) are
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #880.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |   (155)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |   (156)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |   (157)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (32), (65), (129), (157) are
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #634.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |   (158)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (33), (38), (102), (123), (158) are
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1883.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |   (159)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |   (160)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |   (161)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |   (162)  op(e3, e3) = e3
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (16), (18), (41), (42), (51), (62),
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |            (77), (131), (137), (138), (162) are inconsistent
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1217.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |   (163)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |   (164)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |   (165)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | |   (166)  all_57_14 = e2 & op(e1, e1) = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | |   (167)  op(e1, e1) = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (66), (137), (167) are inconsistent by
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1777.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | |   (168)   ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | |   (169)   ~ (all_57_4 = e1)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | |   (170)  op(e1, e2) = all_57_4
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |   (171)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (172)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (173)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (89), (137), (173) are inconsistent by
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1442.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (39), (66), (174) are inconsistent by
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #733.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (175)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (176)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (165), (176) are inconsistent by sub-proof
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            #465.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (51), (56), (169), (170), (177) are
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #656.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |   (178)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (180)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (18), (42), (51), (61), (180) are
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #393.
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.97/32.04  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (182) implies:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  op(e0, e0) = e1
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (51), (61), (183) are inconsistent by
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1780.
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (185) implies:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  op(e2, e2) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (14), (18), (23), (51), (116), (131), (137),
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (186) are inconsistent by sub-proof #1284.
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)   ~ (all_57_13 = e1)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  op(e1, e0) = all_57_13
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (53), (188), (189) are inconsistent by
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1437.
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (17), (18), (32), (57), (69), (191) are
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #346.
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)   ~ (all_57_13 = e1)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  op(e1, e0) = all_57_13
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (53), (194), (195) are inconsistent by
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1437.
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  op(e2, e2) = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (14), (18), (23), (51), (116), (131), (137),
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198) are inconsistent by sub-proof #1284.
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  op(e0, e0) = all_57_15
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (31), (39), (55), (61), (200), (202)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #391.
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)   ~ (all_57_15 = e2)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (61), (200), (205) are inconsistent by
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #748.
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (18), (42), (51), (56), (206) are
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #563.
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |   (207)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (53), (62), (66), (138), (207) are
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1254.
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | |   (208)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/32.05  | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (27), (121), (129), (208) are inconsistent
% 194.97/32.05  | | | | | | | | | | | | | | | | |            by sub-proof #1651.
% 194.97/32.05  | | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | Case 2:
% 194.97/32.05  | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | |   (209)  all_54_12 = e0
% 194.97/32.05  | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | | REF_CLOSE: (25), (55), (209) are inconsistent by sub-proof
% 194.97/32.05  | | | | | | | | | | | | | | |            #1098.
% 194.97/32.05  | | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | | 
% 194.97/32.05  | | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | | 
% 194.97/32.05  | | | | | | | | End of split
% 194.97/32.05  | | | | | | | | 
% 194.97/32.05  | | | | | | | End of split
% 194.97/32.05  | | | | | | | 
% 194.97/32.05  | | | | | | End of split
% 194.97/32.05  | | | | | | 
% 194.97/32.05  | | | | | End of split
% 194.97/32.05  | | | | | 
% 194.97/32.05  | | | | Case 2:
% 194.97/32.05  | | | | | 
% 194.97/32.05  | | | | |   (210)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.97/32.05  | | | | | 
% 194.97/32.05  | | | | | REF_CLOSE: (5), (9), (50), (81), (210) are inconsistent by sub-proof
% 194.97/32.05  | | | | |            #1829.
% 194.97/32.05  | | | | | 
% 194.97/32.05  | | | | End of split
% 194.97/32.05  | | | | 
% 194.97/32.05  | | | Case 2:
% 194.97/32.05  | | | | 
% 194.97/32.05  | | | |   (211)  all_54_6 = e0
% 194.97/32.05  | | | | 
% 194.97/32.05  | | | | REF_CLOSE: (37), (64), (211) are inconsistent by sub-proof #1233.
% 194.97/32.05  | | | | 
% 194.97/32.05  | | | End of split
% 194.97/32.05  | | | 
% 194.97/32.05  | | End of split
% 194.97/32.05  | | 
% 194.97/32.05  | End of split
% 194.97/32.05  | 
% 194.97/32.05  End of proof
% 194.97/32.05  
% 194.97/32.05  Sub-proof #346 shows that the following formulas are inconsistent:
% 194.97/32.05  ----------------------------------------------------------------
% 194.97/32.05    (1)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 194.97/32.05             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.97/32.05           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.97/32.05         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 194.97/32.05             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.97/32.05           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.97/32.05    (2)  op(e3, e0) = e3
% 194.97/32.05    (3)   ~ (all_52_13 = e2)
% 194.97/32.05    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.05    (5)  op(e2, e0) = all_52_13
% 194.97/32.05    (6)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.97/32.05           $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.97/32.05           & $i(all_8_1))
% 194.97/32.05    (7)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 194.97/32.05           $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 194.97/32.05           & $i(all_6_1))
% 194.97/32.05  
% 194.97/32.05  Begin of proof
% 194.97/32.05  | 
% 194.97/32.05  | BETA: splitting (1) gives:
% 194.97/32.05  | 
% 194.97/32.05  | Case 1:
% 194.97/32.05  | | 
% 194.97/32.05  | |   (8)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 194.97/32.05  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.97/32.05  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 194.97/32.05  | | 
% 194.97/32.05  | | ALPHA: (8) implies:
% 194.97/32.05  | |   (9)  op(e2, e0) = e2
% 194.97/32.05  | | 
% 194.97/32.05  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #1662.
% 194.97/32.05  | | 
% 194.97/32.05  | Case 2:
% 194.97/32.05  | | 
% 194.97/32.05  | |   (10)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 194.97/32.05  | |           = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.97/32.05  | |         all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 194.97/32.05  | | 
% 194.97/32.05  | | ALPHA: (10) implies:
% 194.97/32.05  | |   (11)   ~ (all_57_9 = e3)
% 194.97/32.05  | |   (12)  op(e3, e0) = all_57_9
% 194.97/32.05  | | 
% 194.97/32.05  | | REF_CLOSE: (2), (4), (6), (7), (11), (12) are inconsistent by sub-proof
% 194.97/32.05  | |            #360.
% 194.97/32.05  | | 
% 194.97/32.05  | End of split
% 194.97/32.05  | 
% 194.97/32.05  End of proof
% 194.97/32.05  
% 194.97/32.05  Sub-proof #347 shows that the following formulas are inconsistent:
% 194.97/32.05  ----------------------------------------------------------------
% 194.97/32.05    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.05    (2)  op(e0, e3) = all_52_3
% 194.97/32.05    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.05           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.05           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.05                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.05               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.05               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.05           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.05           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.05             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.05           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.05               = all_57_1 & $i(all_57_1))))
% 194.97/32.05    (4)  op(e1, e0) = e1
% 194.97/32.05    (5)   ~ (all_52_3 = e0)
% 194.97/32.05    (6)  op(e1, e1) = e3
% 194.97/32.05    (7)   ~ (e3 = e0)
% 194.97/32.05  
% 194.97/32.05  Begin of proof
% 194.97/32.05  | 
% 194.97/32.05  | BETA: splitting (3) gives:
% 194.97/32.05  | 
% 194.97/32.05  | Case 1:
% 194.97/32.05  | | 
% 194.97/32.05  | |   (8)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.05  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.05  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.97/32.05  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 194.97/32.05  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.05  | |            all_57_13 & $i(all_57_13)))
% 194.97/32.05  | | 
% 194.97/32.05  | | ALPHA: (8) implies:
% 194.97/32.05  | |   (9)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.05  | |            e0) = all_57_13 & $i(all_57_13))
% 194.97/32.05  | | 
% 194.97/32.05  | | REF_CLOSE: (1), (4), (6), (7), (9) are inconsistent by sub-proof #1271.
% 194.97/32.05  | | 
% 194.97/32.05  | Case 2:
% 194.97/32.05  | | 
% 194.97/32.05  | |   (10)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 194.97/32.05  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.05  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.97/32.05  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.97/32.05  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.05  | |             all_57_1 & $i(all_57_1)))
% 194.97/32.05  | | 
% 194.97/32.05  | | ALPHA: (10) implies:
% 194.97/32.05  | |   (11)  op(e0, e3) = e0
% 194.97/32.05  | | 
% 194.97/32.05  | | REF_CLOSE: (1), (2), (5), (11) are inconsistent by sub-proof #1935.
% 194.97/32.05  | | 
% 194.97/32.05  | End of split
% 194.97/32.05  | 
% 194.97/32.05  End of proof
% 194.97/32.05  
% 194.97/32.05  Sub-proof #348 shows that the following formulas are inconsistent:
% 194.97/32.05  ----------------------------------------------------------------
% 194.97/32.05    (1)  all_56_9 = e3
% 194.97/32.05    (2)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.97/32.05    (3)  all_56_10 = e0
% 194.97/32.05    (4)   ~ (e1 = e0)
% 194.97/32.05    (5)   ~ (e3 = e1)
% 194.97/32.05  
% 194.97/32.05  Begin of proof
% 194.97/32.05  | 
% 194.97/32.05  | BETA: splitting (2) gives:
% 194.97/32.05  | 
% 194.97/32.05  | Case 1:
% 194.97/32.05  | | 
% 194.97/32.05  | |   (6)  all_56_9 = e1 & op(e3, e0) = e1
% 194.97/32.05  | | 
% 194.97/32.05  | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #820.
% 194.97/32.05  | | 
% 194.97/32.05  | Case 2:
% 194.97/32.05  | | 
% 194.97/32.05  | |   (7)  all_56_10 = e1 & op(e2, e0) = e1
% 194.97/32.05  | | 
% 194.97/32.05  | | ALPHA: (7) implies:
% 194.97/32.05  | |   (8)  all_56_10 = e1
% 194.97/32.05  | | 
% 194.97/32.05  | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #1411.
% 194.97/32.05  | | 
% 194.97/32.05  | End of split
% 194.97/32.05  | 
% 194.97/32.05  End of proof
% 194.97/32.05  
% 194.97/32.05  Sub-proof #349 shows that the following formulas are inconsistent:
% 194.97/32.05  ----------------------------------------------------------------
% 194.97/32.05    (1)  op(e3, e3) = e0
% 194.97/32.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.05    (3)   ~ (all_52_1 = e2)
% 194.97/32.05    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 194.97/32.05    (5)   ~ (e2 = e0)
% 194.97/32.05    (6)  op(e2, e3) = all_52_1
% 194.97/32.05  
% 194.97/32.05  Begin of proof
% 194.97/32.05  | 
% 194.97/32.05  | BETA: splitting (4) gives:
% 194.97/32.05  | 
% 194.97/32.05  | Case 1:
% 194.97/32.05  | | 
% 194.97/32.05  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 194.97/32.05  | | 
% 194.97/32.05  | | ALPHA: (7) implies:
% 194.97/32.05  | |   (8)  op(e3, e3) = e2
% 194.97/32.05  | | 
% 194.97/32.05  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #833.
% 194.97/32.05  | | 
% 194.97/32.05  | Case 2:
% 194.97/32.05  | | 
% 194.97/32.05  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 194.97/32.05  | | 
% 194.97/32.05  | | ALPHA: (9) implies:
% 194.97/32.05  | |   (10)  op(e2, e3) = e2
% 194.97/32.05  | | 
% 194.97/32.05  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1785.
% 194.97/32.05  | | 
% 194.97/32.05  | End of split
% 194.97/32.05  | 
% 194.97/32.05  End of proof
% 194.97/32.05  
% 194.97/32.05  Sub-proof #350 shows that the following formulas are inconsistent:
% 194.97/32.05  ----------------------------------------------------------------
% 194.97/32.05    (1)  op(e3, e3) = e0
% 194.97/32.05    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 194.97/32.05         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 194.97/32.05    (3)   ~ (e3 = e2)
% 194.97/32.05    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.05    (5)  all_56_4 = e1
% 194.97/32.05    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.97/32.05         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.97/32.05    (7)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.05             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.05           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.05               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.05             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.05         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.97/32.05             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.05           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.05               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.05             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.05    (8)  op(e3, e2) = e3
% 194.97/32.05    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.97/32.05         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/32.05    (10)   ~ (e1 = e0)
% 194.97/32.05    (11)   ~ (e2 = e1)
% 194.97/32.05    (12)   ~ (all_52_12 = e1)
% 194.97/32.05    (13)  op(e3, e0) = all_52_12
% 194.97/32.05    (14)  all_56_1 = e3
% 194.97/32.05    (15)   ~ (e3 = e1)
% 194.97/32.05    (16)   ~ (e2 = e0)
% 194.97/32.05    (17)   ~ (e3 = e0)
% 194.97/32.05  
% 194.97/32.05  Begin of proof
% 194.97/32.05  | 
% 194.97/32.05  | BETA: splitting (7) gives:
% 194.97/32.05  | 
% 194.97/32.05  | Case 1:
% 194.97/32.05  | | 
% 194.97/32.05  | |   (18)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.05  | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.05  | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.05  | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.05  | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.05  | |               e3) = all_57_2 & $i(all_57_2)))
% 194.97/32.05  | | 
% 194.97/32.05  | | ALPHA: (18) implies:
% 194.97/32.05  | |   (19)  op(e3, e3) = e3
% 194.97/32.05  | | 
% 194.97/32.05  | | REF_CLOSE: (2), (3), (4), (5), (6), (9), (10), (11), (12), (13), (14), (15),
% 194.97/32.05  | |            (16), (17), (19) are inconsistent by sub-proof #892.
% 194.97/32.05  | | 
% 194.97/32.05  | Case 2:
% 194.97/32.05  | | 
% 194.97/32.05  | |   (20)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.05  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.05  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.05  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.05  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.05  | |               e2) = all_57_5 & $i(all_57_5)))
% 194.97/32.05  | | 
% 194.97/32.05  | | ALPHA: (20) implies:
% 194.97/32.05  | |   (21)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.05  | |             e2) = all_57_3 & $i(all_57_3))
% 194.97/32.05  | | 
% 194.97/32.05  | | REF_CLOSE: (1), (4), (8), (16), (21) are inconsistent by sub-proof #396.
% 194.97/32.05  | | 
% 194.97/32.05  | End of split
% 194.97/32.05  | 
% 194.97/32.05  End of proof
% 194.97/32.05  
% 194.97/32.05  Sub-proof #351 shows that the following formulas are inconsistent:
% 194.97/32.05  ----------------------------------------------------------------
% 194.97/32.05    (1)  op(e3, e3) = e0
% 194.97/32.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.05    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.05           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.05           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.05                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.05               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.05               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.05           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.05           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.05             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.05           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.05               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.97/32.05           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.05           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.97/32.05               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.05               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.05               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.05         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.97/32.05           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.05           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.97/32.05               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.05             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.05    (4)  op(e0, e3) = all_52_3
% 194.97/32.05    (5)   ~ (all_52_12 = e3)
% 194.97/32.05    (6)  op(e3, e2) = e3
% 194.97/32.05    (7)   ~ (e2 = e1)
% 194.97/32.05    (8)   ~ (all_52_3 = e0)
% 194.97/32.05    (9)  op(e3, e0) = all_52_12
% 194.97/32.05    (10)  op(e2, e2) = e2
% 194.97/32.05    (11)   ~ (e2 = e0)
% 194.97/32.05  
% 194.97/32.05  Begin of proof
% 194.97/32.05  | 
% 194.97/32.05  | BETA: splitting (3) gives:
% 194.97/32.05  | 
% 194.97/32.05  | Case 1:
% 194.97/32.05  | | 
% 194.97/32.06  | |   (12)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.06  | |           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.06  | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.06  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.06  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.97/32.06  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.97/32.06  | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.06  | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.97/32.06  | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.97/32.06  | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 194.97/32.06  | |                 e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.06  | |               $i(all_57_1))))
% 194.97/32.06  | | 
% 194.97/32.06  | | REF_CLOSE: (2), (4), (5), (8), (9), (12) are inconsistent by sub-proof #397.
% 194.97/32.06  | | 
% 194.97/32.06  | Case 2:
% 194.97/32.06  | | 
% 194.97/32.06  | |   (13)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.97/32.06  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.97/32.06  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.06  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.06  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.06  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 194.97/32.06  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.97/32.06  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 194.97/32.06  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.06  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.97/32.06  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.06  | |               $i(all_57_5))))
% 194.97/32.06  | | 
% 194.97/32.06  | | BETA: splitting (13) gives:
% 194.97/32.06  | | 
% 194.97/32.06  | | Case 1:
% 194.97/32.06  | | | 
% 194.97/32.06  | | |   (14)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.97/32.06  | | |         op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.97/32.06  | | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.06  | | |             (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.06  | | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.06  | | |               e1) = all_57_8 & $i(all_57_8)))
% 194.97/32.06  | | | 
% 194.97/32.06  | | | ALPHA: (14) implies:
% 194.97/32.06  | | |   (15)  op(e2, e2) = e1
% 194.97/32.06  | | | 
% 194.97/32.06  | | | REF_CLOSE: (2), (7), (10), (15) are inconsistent by sub-proof #1783.
% 194.97/32.06  | | | 
% 194.97/32.06  | | Case 2:
% 194.97/32.06  | | | 
% 194.97/32.06  | | |   (16)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.97/32.06  | | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.97/32.06  | | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.06  | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.06  | | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.06  | | |               e2) = all_57_5 & $i(all_57_5)))
% 194.97/32.06  | | | 
% 194.97/32.06  | | | ALPHA: (16) implies:
% 194.97/32.06  | | |   (17)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.06  | | |             e2) = all_57_3 & $i(all_57_3))
% 194.97/32.06  | | | 
% 194.97/32.06  | | | REF_CLOSE: (1), (2), (6), (11), (17) are inconsistent by sub-proof #396.
% 194.97/32.06  | | | 
% 194.97/32.06  | | End of split
% 194.97/32.06  | | 
% 194.97/32.06  | End of split
% 194.97/32.06  | 
% 194.97/32.06  End of proof
% 194.97/32.06  
% 194.97/32.06  Sub-proof #352 shows that the following formulas are inconsistent:
% 194.97/32.06  ----------------------------------------------------------------
% 194.97/32.06    (1)  op(e3, e3) = e0
% 194.97/32.06    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.06    (3)  op(e2, e2) = all_4_2
% 194.97/32.06    (4)   ~ (all_4_2 = e3)
% 194.97/32.06    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.06           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.06           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.06                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.06               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.06               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.06           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.97/32.06           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.06               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.06           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.06               = all_57_2 & $i(all_57_2))))
% 194.97/32.06    (6)   ~ (e2 = e0)
% 194.97/32.06  
% 194.97/32.06  Begin of proof
% 194.97/32.06  | 
% 194.97/32.06  | BETA: splitting (5) gives:
% 194.97/32.06  | 
% 194.97/32.06  | Case 1:
% 194.97/32.06  | | 
% 194.97/32.06  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.06  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.06  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.06  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 194.97/32.06  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 194.97/32.06  | |            & $i(all_57_5)))
% 194.97/32.06  | | 
% 194.97/32.06  | | ALPHA: (7) implies:
% 194.97/32.06  | |   (8)  op(e3, e3) = e2
% 194.97/32.06  | | 
% 194.97/32.06  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #833.
% 194.97/32.06  | | 
% 194.97/32.06  | Case 2:
% 194.97/32.06  | | 
% 194.97/32.06  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 194.97/32.06  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.06  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 194.97/32.06  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.97/32.06  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 194.97/32.06  | |            & $i(all_57_2)))
% 194.97/32.06  | | 
% 194.97/32.06  | | ALPHA: (9) implies:
% 194.97/32.06  | |   (10)  op(e2, e2) = e3
% 194.97/32.06  | | 
% 194.97/32.06  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1975.
% 194.97/32.06  | | 
% 194.97/32.06  | End of split
% 194.97/32.06  | 
% 194.97/32.06  End of proof
% 194.97/32.06  
% 194.97/32.06  Sub-proof #353 shows that the following formulas are inconsistent:
% 194.97/32.06  ----------------------------------------------------------------
% 194.97/32.06    (1)  op(e3, e3) = e0
% 194.97/32.06    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.06           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.06           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.06                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.06               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.06               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.06           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.97/32.06           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.06               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.06           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.06               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.97/32.06           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.97/32.06           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.97/32.06               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.06               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.06               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.06         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.97/32.06           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.06           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.97/32.06               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.06             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.06         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.06           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.06           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.06                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.06               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.06               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.06           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.06           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.06             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.06           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.06               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.97/32.06           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.06           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.97/32.06               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.06               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.06               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.06         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.97/32.06           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.06           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.97/32.06               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.06             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.06         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.06           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.06           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.06                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.06               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.06               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.06           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.06             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.06               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.06           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.06               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.06           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.06           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.97/32.06               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.06               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.06               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.06         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.97/32.06           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.06           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.06               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.97/32.06             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.97/32.06         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.06             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.06           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.06               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.06             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.06         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.97/32.06             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.06           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.06               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.06             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.06         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.06             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.06           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.06               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.06             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.06         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.06             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.06           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.06               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.06             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.06    (3)  op(e1, e2) = all_52_6
% 194.97/32.06    (4)   ~ (all_52_14 = e0)
% 194.97/32.06    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.06    (6)  op(e2, e2) = e1
% 194.97/32.06    (7)  op(e2, e0) = e2
% 194.97/32.06    (8)  op(e0, e3) = all_52_3
% 194.97/32.06    (9)  op(e2, e0) = all_52_13
% 194.97/32.06    (10)  op(e1, e0) = all_52_14
% 194.97/32.06    (11)  op(e0, e2) = e0
% 194.97/32.06    (12)  op(e1, e1) = e0
% 194.97/32.06    (13)   ~ (e1 = e0)
% 194.97/32.06    (14)   ~ (e2 = e1)
% 194.97/32.06    (15)   ~ (all_52_3 = e0)
% 194.97/32.06    (16)  op(e2, e1) = all_52_9
% 194.97/32.06    (17)  all_57_11 = e2
% 194.97/32.06    (18)   ~ (all_52_9 = all_52_13)
% 194.97/32.06    (19)   ~ (e3 = e1)
% 194.97/32.06    (20)   ~ (all_52_6 = e1)
% 194.97/32.06    (21)   ~ (e2 = e0)
% 194.97/32.06    (22)   ~ (e3 = e0)
% 194.97/32.06  
% 194.97/32.06  Begin of proof
% 194.97/32.06  | 
% 194.97/32.06  | BETA: splitting (2) gives:
% 194.97/32.06  | 
% 194.97/32.06  | Case 1:
% 194.97/32.06  | | 
% 194.97/32.06  | |   (23)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.06  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.06  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.06  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.06  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.06  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 194.97/32.06  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.97/32.06  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 194.97/32.06  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.06  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.06  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.06  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 194.97/32.06  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 194.97/32.06  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.97/32.06  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.06  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.06  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.06  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.97/32.06  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.06  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.06  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.06  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.06  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 194.97/32.06  | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0,
% 194.97/32.06  | |             e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 194.97/32.06  | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.06  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 194.97/32.06  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.06  | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15
% 194.97/32.06  | |           = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0
% 194.97/32.06  | |           & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 194.97/32.06  | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.06  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.06  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.97/32.06  | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.97/32.06  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.97/32.06  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.06  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.06  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.06  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 194.97/32.06  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.97/32.06  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 194.97/32.06  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.06  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.97/32.06  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.06  | |               $i(all_57_5))))
% 194.97/32.06  | | 
% 194.97/32.06  | | BETA: splitting (23) gives:
% 194.97/32.06  | | 
% 194.97/32.06  | | Case 1:
% 194.97/32.06  | | | 
% 194.97/32.06  | | |   (24)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 194.97/32.06  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.06  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.06  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.06  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.06  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 194.97/32.06  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.06  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 194.97/32.06  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.06  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 194.97/32.06  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.06  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 194.97/32.06  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 194.97/32.06  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.06  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.06  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.97/32.06  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.97/32.06  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 194.97/32.06  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.97/32.06  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 194.97/32.06  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.06  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.06  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.06  | | |               $i(all_57_2))))
% 194.97/32.06  | | | 
% 194.97/32.06  | | | BETA: splitting (24) gives:
% 194.97/32.06  | | | 
% 194.97/32.06  | | | Case 1:
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | |   (25)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 194.97/32.06  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 194.97/32.06  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 194.97/32.06  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.06  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.97/32.06  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.06  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 194.97/32.06  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 194.97/32.06  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.06  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.06  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.06  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | | REF_CLOSE: (1), (5), (6), (19), (21), (25) are inconsistent by sub-proof
% 194.97/32.06  | | | |            #364.
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | Case 2:
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | |   (26)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 194.97/32.06  | | | |           e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 194.97/32.06  | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 194.97/32.06  | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.06  | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.06  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 194.97/32.06  | | | |         | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.97/32.06  | | | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 194.97/32.06  | | | |           e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.06  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.06  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.06  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | | REF_CLOSE: (1), (5), (12), (13), (22), (26) are inconsistent by
% 194.97/32.06  | | | |            sub-proof #363.
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | End of split
% 194.97/32.06  | | | 
% 194.97/32.06  | | Case 2:
% 194.97/32.06  | | | 
% 194.97/32.06  | | |   (27)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 194.97/32.06  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.06  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.06  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 194.97/32.06  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.97/32.06  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.97/32.06  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.06  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.97/32.06  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.06  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 194.97/32.06  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.06  | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2
% 194.97/32.06  | | |           & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1,
% 194.97/32.06  | | |             e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.06  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.97/32.06  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.97/32.06  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.97/32.06  | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 194.97/32.06  | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.97/32.06  | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 194.97/32.06  | | |               = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.06  | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.97/32.06  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.06  | | |               $i(all_57_5))))
% 194.97/32.06  | | | 
% 194.97/32.06  | | | BETA: splitting (27) gives:
% 194.97/32.06  | | | 
% 194.97/32.06  | | | Case 1:
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | |   (28)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 194.97/32.06  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 194.97/32.06  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 194.97/32.06  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.06  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 194.97/32.06  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.06  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 194.97/32.06  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.97/32.06  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.97/32.06  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.06  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.97/32.06  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.06  | | | |               all_57_1 & $i(all_57_1))))
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | | REF_CLOSE: (5), (6), (7), (8), (13), (15), (28) are inconsistent by
% 194.97/32.06  | | | |            sub-proof #354.
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | Case 2:
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | |   (29)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 194.97/32.06  | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 194.97/32.06  | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.06  | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.06  | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.06  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 194.97/32.06  | | | |         | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.97/32.06  | | | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 194.97/32.06  | | | |           e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.06  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.06  | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.06  | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | | REF_CLOSE: (3), (5), (7), (9), (16), (18), (20), (29) are inconsistent
% 194.97/32.06  | | | |            by sub-proof #997.
% 194.97/32.06  | | | | 
% 194.97/32.06  | | | End of split
% 194.97/32.06  | | | 
% 194.97/32.06  | | End of split
% 194.97/32.06  | | 
% 194.97/32.06  | Case 2:
% 194.97/32.06  | | 
% 194.97/32.06  | |   (30)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.06  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.06  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.06  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.06  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.97/32.06  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.97/32.06  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 194.97/32.06  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.97/32.06  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.06  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 194.97/32.06  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.06  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 194.97/32.06  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.06  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 194.97/32.06  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.06  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.06  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.06  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.97/32.06  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.97/32.06  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.06  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.06  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 194.97/32.06  | |                 e1) = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 194.97/32.06  | |             e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.97/32.06  | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.97/32.06  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.06  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.06  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.06  | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 194.97/32.06  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.06  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 194.97/32.06  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.06  | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.97/32.06  | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.06  | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.06  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.06  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.06  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.06  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.06  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 194.97/32.06  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.06  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 194.97/32.06  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.06  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 194.97/32.06  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.06  | |               $i(all_57_13))))
% 194.97/32.06  | | 
% 194.97/32.06  | | REF_CLOSE: (1), (4), (5), (6), (7), (10), (11), (12), (13), (14), (17),
% 194.97/32.06  | |            (21), (22), (30) are inconsistent by sub-proof #356.
% 194.97/32.06  | | 
% 194.97/32.06  | End of split
% 194.97/32.06  | 
% 194.97/32.06  End of proof
% 194.97/32.06  
% 194.97/32.06  Sub-proof #354 shows that the following formulas are inconsistent:
% 194.97/32.06  ----------------------------------------------------------------
% 194.97/32.06    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.06    (2)  op(e2, e2) = e1
% 194.97/32.06    (3)  op(e2, e0) = e2
% 194.97/32.06    (4)  op(e0, e3) = all_52_3
% 194.97/32.06    (5)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.06           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.06           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.06                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.06               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.06               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.06           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.06           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.06             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.06           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.06               = all_57_1 & $i(all_57_1))))
% 194.97/32.06    (6)   ~ (e1 = e0)
% 194.97/32.06    (7)   ~ (all_52_3 = e0)
% 194.97/32.06  
% 194.97/32.06  Begin of proof
% 194.97/32.06  | 
% 194.97/32.06  | BETA: splitting (5) gives:
% 194.97/32.06  | 
% 194.97/32.06  | Case 1:
% 194.97/32.06  | | 
% 194.97/32.06  | |   (8)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.06  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.06  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.97/32.06  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 194.97/32.06  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.06  | |            all_57_13 & $i(all_57_13)))
% 194.97/32.06  | | 
% 194.97/32.06  | | ALPHA: (8) implies:
% 194.97/32.06  | |   (9)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.97/32.06  | |            e0) = all_57_11 & $i(all_57_11))
% 194.97/32.06  | | 
% 194.97/32.06  | | REF_CLOSE: (1), (2), (3), (6), (9) are inconsistent by sub-proof #424.
% 194.97/32.06  | | 
% 194.97/32.06  | Case 2:
% 194.97/32.06  | | 
% 194.97/32.06  | |   (10)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 194.97/32.06  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.06  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.97/32.06  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.97/32.06  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.06  | |             all_57_1 & $i(all_57_1)))
% 194.97/32.06  | | 
% 194.97/32.06  | | ALPHA: (10) implies:
% 194.97/32.06  | |   (11)  op(e0, e3) = e0
% 194.97/32.06  | | 
% 194.97/32.06  | | REF_CLOSE: (1), (4), (7), (11) are inconsistent by sub-proof #1935.
% 194.97/32.06  | | 
% 194.97/32.06  | End of split
% 194.97/32.06  | 
% 194.97/32.06  End of proof
% 194.97/32.06  
% 194.97/32.06  Sub-proof #355 shows that the following formulas are inconsistent:
% 194.97/32.06  ----------------------------------------------------------------
% 194.97/32.07    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.07           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.07           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.07                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.07               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.07               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.07           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.97/32.07           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.07               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.07           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.07               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.97/32.07           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.97/32.07           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.97/32.07               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.07               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.07               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.07         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.97/32.07           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.07           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.97/32.07               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.07             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.07         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.07           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.07           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.07                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.07               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.07               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.07           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.07           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.07             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.07           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.07               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.97/32.07           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.07           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.97/32.07               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.07               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.07               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.07         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.97/32.07           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.07           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.97/32.07               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.07             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.07         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.07           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.07           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.07                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.07               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.07               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.07           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.07             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.07               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.07           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.07               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.07           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.07           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.97/32.07               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.07               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.07               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.07         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.97/32.07           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.07           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.07               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.97/32.07             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.97/32.07         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.07             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.07           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.07               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.07             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.07         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.97/32.07             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.07           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.07               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.07             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.07         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.07             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.07           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.07               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.07             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.07         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.07             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.07           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.07               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.07             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.07    (2)  op(e1, e2) = all_52_6
% 194.97/32.07    (3)   ~ (all_52_14 = e0)
% 194.97/32.07    (4)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 194.97/32.07             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.97/32.07           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.97/32.07         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 194.97/32.07             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.97/32.07           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.97/32.07    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.07    (6)  op(e2, e2) = e1
% 194.97/32.07    (7)  op(e0, e3) = all_52_3
% 194.97/32.07    (8)  op(e2, e0) = all_52_13
% 194.97/32.07    (9)  op(e1, e0) = all_52_14
% 194.97/32.07    (10)  op(e0, e2) = e0
% 194.97/32.07    (11)  op(e1, e1) = e0
% 194.97/32.07    (12)   ~ (e1 = e0)
% 194.97/32.07    (13)   ~ (e2 = e1)
% 194.97/32.07    (14)   ~ (all_52_3 = e0)
% 194.97/32.07    (15)  op(e2, e1) = all_52_9
% 194.97/32.07    (16)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.97/32.07            $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.97/32.07            & $i(all_8_1))
% 194.97/32.07    (17)   ~ (all_52_9 = all_52_13)
% 194.97/32.07    (18)   ~ (e3 = e1)
% 194.97/32.07    (19)   ~ (all_52_6 = e1)
% 194.97/32.07    (20)   ~ (e2 = e0)
% 194.97/32.07    (21)   ~ (e3 = e0)
% 194.97/32.07    (22)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 194.97/32.07            $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 194.97/32.07            & $i(all_6_1))
% 194.97/32.07  
% 194.97/32.07  Begin of proof
% 194.97/32.07  | 
% 194.97/32.07  | BETA: splitting (4) gives:
% 194.97/32.07  | 
% 194.97/32.07  | Case 1:
% 194.97/32.07  | | 
% 194.97/32.07  | |   (23)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 194.97/32.07  | |           = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 194.97/32.07  | |         all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 194.97/32.07  | | 
% 194.97/32.07  | | ALPHA: (23) implies:
% 194.97/32.07  | |   (24)  all_57_11 = e2
% 194.97/32.07  | |   (25)   ~ (all_57_9 = e3)
% 194.97/32.07  | |   (26)  op(e2, e0) = e2
% 194.97/32.07  | |   (27)  op(e3, e0) = all_57_9
% 194.97/32.07  | |   (28)  op(e3, e3) = e0
% 194.97/32.07  | | 
% 194.97/32.07  | | BETA: splitting (1) gives:
% 194.97/32.07  | | 
% 194.97/32.07  | | Case 1:
% 194.97/32.07  | | | 
% 194.97/32.07  | | |   (29)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 194.97/32.07  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.07  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.07  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.07  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.07  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 194.97/32.07  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.07  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 194.97/32.07  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.07  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 194.97/32.07  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.07  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 194.97/32.07  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 194.97/32.07  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.07  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.07  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.97/32.07  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.97/32.07  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 194.97/32.07  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.97/32.07  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 194.97/32.07  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.07  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.07  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.07  | | |               $i(all_57_2)))) | (all_57_2 = e3 & all_57_9 = e3 & all_57_10
% 194.97/32.07  | | |           = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 194.97/32.07  | | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12 = e0 &
% 194.97/32.07  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.07  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 194.97/32.07  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.07  | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 194.97/32.07  | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.97/32.07  | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12
% 194.97/32.07  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.07  | | |               all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) =
% 194.97/32.07  | | |               e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.07  | | |               $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 & all_57_12
% 194.97/32.07  | | |           = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.07  | | |           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 &
% 194.97/32.07  | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.97/32.07  | | |               all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) =
% 194.97/32.07  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.07  | | |               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14
% 194.97/32.07  | | |           = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) =
% 194.97/32.07  | | |           e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3,
% 194.97/32.07  | | |                 e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.07  | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.97/32.07  | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.07  | | | 
% 194.97/32.07  | | | BETA: splitting (29) gives:
% 194.97/32.07  | | | 
% 194.97/32.07  | | | Case 1:
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | |   (30)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 194.97/32.07  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 194.97/32.07  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 194.97/32.07  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.07  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.97/32.07  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.07  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 194.97/32.07  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 194.97/32.07  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.07  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.07  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.07  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 &
% 194.97/32.07  | | | |           all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1)
% 194.97/32.07  | | | |           = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.07  | | | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.07  | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.07  | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 194.97/32.07  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 &
% 194.97/32.07  | | | |           all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 &
% 194.97/32.07  | | | |           op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.07  | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.07  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.07  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.07  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | | BETA: splitting (30) gives:
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | | Case 1:
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | |   (31)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 194.97/32.07  | | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 194.97/32.07  | | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 194.97/32.07  | | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.07  | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | (
% 194.97/32.07  | | | | |               ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.07  | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 &
% 194.97/32.07  | | | | |           all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.97/32.07  | | | | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 194.97/32.07  | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.07  | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 194.97/32.07  | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.07  | | | | |               = all_57_2 & $i(all_57_2))))
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | | REF_CLOSE: (5), (6), (18), (20), (28), (31) are inconsistent by
% 194.97/32.07  | | | | |            sub-proof #364.
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | Case 2:
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | |   (32)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 194.97/32.07  | | | | |           e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 194.97/32.07  | | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 194.97/32.07  | | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.07  | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | (
% 194.97/32.07  | | | | |               ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.07  | | | | |               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 &
% 194.97/32.07  | | | | |           all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.97/32.07  | | | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.07  | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.07  | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 194.97/32.07  | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.07  | | | | |               = all_57_2 & $i(all_57_2))))
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | | REF_CLOSE: (5), (11), (12), (21), (28), (32) are inconsistent by
% 194.97/32.07  | | | | |            sub-proof #363.
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | End of split
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | Case 2:
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | |   (33)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 194.97/32.07  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 194.97/32.07  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 194.97/32.07  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.07  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 194.97/32.07  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.07  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 194.97/32.07  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.97/32.07  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.97/32.07  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.07  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.97/32.07  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.07  | | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 =
% 194.97/32.07  | | | |           e2 & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 194.97/32.07  | | | |           op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.07  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.97/32.07  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 194.97/32.07  | | | |               & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.97/32.07  | | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 =
% 194.97/32.07  | | | |           e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 194.97/32.07  | | | |           & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.07  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.97/32.07  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.97/32.07  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.97/32.07  | | | |               all_57_5 & $i(all_57_5))))
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | | BETA: splitting (33) gives:
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | | Case 1:
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | |   (34)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 194.97/32.07  | | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 194.97/32.07  | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 194.97/32.07  | | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.07  | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) |
% 194.97/32.07  | | | | |             ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.07  | | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 194.97/32.07  | | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.97/32.07  | | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.97/32.07  | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.07  | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.97/32.07  | | | | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.07  | | | | |               = all_57_1 & $i(all_57_1))))
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | | REF_CLOSE: (5), (7), (14), (16), (22), (25), (27), (34) are
% 194.97/32.07  | | | | |            inconsistent by sub-proof #359.
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | Case 2:
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | |   (35)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 194.97/32.07  | | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 194.97/32.07  | | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.07  | | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.07  | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | (
% 194.97/32.07  | | | | |               ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.07  | | | | |               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 &
% 194.97/32.07  | | | | |           all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.97/32.07  | | | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.07  | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.97/32.07  | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 194.97/32.07  | | | | |               e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.97/32.07  | | | | |               = all_57_5 & $i(all_57_5))))
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | | REF_CLOSE: (2), (5), (8), (15), (17), (19), (26), (35) are
% 194.97/32.07  | | | | |            inconsistent by sub-proof #997.
% 194.97/32.07  | | | | | 
% 194.97/32.07  | | | | End of split
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | End of split
% 194.97/32.07  | | | 
% 194.97/32.07  | | Case 2:
% 194.97/32.07  | | | 
% 194.97/32.07  | | |   (36)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 194.97/32.07  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.07  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.07  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.07  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.97/32.07  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.97/32.07  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 194.97/32.07  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.07  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.07  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.07  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.07  | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 194.97/32.07  | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 194.97/32.07  | | |           e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.07  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.97/32.07  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.97/32.07  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.07  | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 194.97/32.07  | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.97/32.07  | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10
% 194.97/32.07  | | |               = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.97/32.07  | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 194.97/32.07  | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.07  | | |               $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3) = e3 &
% 194.97/32.07  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.07  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 194.97/32.07  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.07  | | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.07  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.07  | | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 194.97/32.07  | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.97/32.07  | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 194.97/32.07  | | |               op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 194.97/32.07  | | |               all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.97/32.07  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.07  | | |               $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 194.97/32.07  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.97/32.07  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 194.97/32.07  | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.97/32.07  | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 194.97/32.07  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.07  | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 194.97/32.07  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.97/32.07  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.97/32.07  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.07  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 194.97/32.07  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.07  | | |               $i(all_57_13))))
% 194.97/32.07  | | | 
% 194.97/32.07  | | | REF_CLOSE: (3), (5), (6), (9), (10), (11), (12), (13), (20), (21), (24),
% 194.97/32.07  | | |            (26), (28), (36) are inconsistent by sub-proof #356.
% 194.97/32.07  | | | 
% 194.97/32.07  | | End of split
% 194.97/32.07  | | 
% 194.97/32.07  | Case 2:
% 194.97/32.07  | | 
% 194.97/32.07  | |   (37)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 194.97/32.07  | |           = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 194.97/32.07  | |         all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 194.97/32.07  | | 
% 194.97/32.07  | | ALPHA: (37) implies:
% 194.97/32.07  | |   (38)   ~ (all_57_14 = e0)
% 194.97/32.07  | |   (39)  op(e1, e1) = all_57_14
% 194.97/32.07  | | 
% 194.97/32.07  | | REF_CLOSE: (5), (11), (38), (39) are inconsistent by sub-proof #1636.
% 194.97/32.07  | | 
% 194.97/32.07  | End of split
% 194.97/32.07  | 
% 194.97/32.07  End of proof
% 194.97/32.07  
% 194.97/32.07  Sub-proof #356 shows that the following formulas are inconsistent:
% 194.97/32.07  ----------------------------------------------------------------
% 194.97/32.07    (1)  op(e3, e3) = e0
% 194.97/32.07    (2)   ~ (all_52_14 = e0)
% 194.97/32.07    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.07    (4)  op(e2, e2) = e1
% 194.97/32.07    (5)  op(e2, e0) = e2
% 194.97/32.07    (6)  op(e1, e0) = all_52_14
% 194.97/32.07    (7)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.07           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.07           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.07                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.07               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.07               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.07           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.07             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.07               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.07           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.07               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.07           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.07           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.97/32.07               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.07               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.07               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.07         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.97/32.07           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.07           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.07               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.97/32.07             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.97/32.07         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.07             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.07           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.07               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.07             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.07         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.97/32.07             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.07           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.07               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.07             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.07         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.07             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.07           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.07               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.07             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.07         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.07             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.07           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.07               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.07             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.07    (8)  op(e0, e2) = e0
% 194.97/32.07    (9)  op(e1, e1) = e0
% 194.97/32.07    (10)   ~ (e1 = e0)
% 194.97/32.07    (11)   ~ (e2 = e1)
% 194.97/32.07    (12)  all_57_11 = e2
% 194.97/32.07    (13)   ~ (e2 = e0)
% 194.97/32.07    (14)   ~ (e3 = e0)
% 194.97/32.07  
% 194.97/32.07  Begin of proof
% 194.97/32.07  | 
% 194.97/32.07  | BETA: splitting (7) gives:
% 194.97/32.07  | 
% 194.97/32.07  | Case 1:
% 194.97/32.07  | | 
% 194.97/32.07  | |   (15)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.07  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.07  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.07  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.07  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.97/32.07  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.97/32.07  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 194.97/32.07  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.97/32.07  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.07  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 194.97/32.07  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.07  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 194.97/32.07  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.07  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 194.97/32.07  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.07  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.07  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.07  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.97/32.07  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.97/32.07  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.07  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.07  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 194.97/32.07  | |                 e1) = all_57_7 & $i(all_57_7))))
% 194.97/32.07  | | 
% 194.97/32.07  | | BETA: splitting (15) gives:
% 194.97/32.07  | | 
% 194.97/32.07  | | Case 1:
% 194.97/32.07  | | | 
% 194.97/32.07  | | |   (16)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 194.97/32.07  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.07  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.07  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.07  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.97/32.07  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.97/32.07  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 194.97/32.07  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.07  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.07  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.07  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.07  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))))
% 194.97/32.07  | | | 
% 194.97/32.07  | | | REF_CLOSE: (3), (8), (12), (13), (16) are inconsistent by sub-proof #358.
% 194.97/32.07  | | | 
% 194.97/32.07  | | Case 2:
% 194.97/32.07  | | | 
% 194.97/32.07  | | |   (17)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 194.97/32.07  | | |           & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.97/32.07  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.07  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.07  | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.07  | | |               op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 194.97/32.07  | | |           all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.07  | | |           op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.97/32.07  | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.07  | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.07  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.07  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.97/32.07  | | | 
% 194.97/32.07  | | | BETA: splitting (17) gives:
% 194.97/32.07  | | | 
% 194.97/32.07  | | | Case 1:
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | |   (18)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 194.97/32.07  | | | |         e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15
% 194.97/32.07  | | | |         & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.07  | | | |             (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.07  | | | |         ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.07  | | | |             op(e2, e0) = all_57_11 & $i(all_57_11)))
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | | ALPHA: (18) implies:
% 194.97/32.07  | | | |   (19)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.07  | | | |           op(e2, e0) = all_57_11 & $i(all_57_11))
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | | REF_CLOSE: (3), (4), (5), (10), (19) are inconsistent by sub-proof #424.
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | Case 2:
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | |   (20)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.97/32.07  | | | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1
% 194.97/32.07  | | | |         & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.07  | | | |             (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.07  | | | |         ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.07  | | | |             op(e2, e1) = all_57_7 & $i(all_57_7)))
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | | ALPHA: (20) implies:
% 194.97/32.07  | | | |   (21)  op(e1, e0) = e0
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | | REF_CLOSE: (2), (3), (6), (21) are inconsistent by sub-proof #1884.
% 194.97/32.07  | | | | 
% 194.97/32.07  | | | End of split
% 194.97/32.07  | | | 
% 194.97/32.07  | | End of split
% 194.97/32.07  | | 
% 194.97/32.07  | Case 2:
% 194.97/32.07  | | 
% 194.97/32.08  | |   (22)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.08  | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.08  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.08  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.08  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.08  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 194.97/32.08  | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.97/32.08  | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 194.97/32.08  | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 194.97/32.08  | |               all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.97/32.08  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.08  | |               $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 194.97/32.08  | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 194.97/32.08  | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 194.97/32.08  | |                 e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.08  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.08  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.08  | |         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 194.97/32.08  | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.08  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.08  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.08  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.97/32.08  | |               op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.08  | | 
% 194.97/32.08  | | BETA: splitting (22) gives:
% 194.97/32.08  | | 
% 194.97/32.08  | | Case 1:
% 194.97/32.08  | | | 
% 194.97/32.08  | | |   (23)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 194.97/32.08  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.08  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.08  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.08  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.08  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 194.97/32.08  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.08  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.08  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.08  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.08  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.97/32.08  | | |               all_57_5 & $i(all_57_5))))
% 194.97/32.08  | | | 
% 194.97/32.08  | | | REF_CLOSE: (1), (3), (4), (11), (14), (23) are inconsistent by sub-proof
% 194.97/32.08  | | |            #357.
% 194.97/32.08  | | | 
% 194.97/32.08  | | Case 2:
% 194.97/32.08  | | | 
% 194.97/32.08  | | |   (24)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3)
% 194.97/32.08  | | |               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.08  | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.08  | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.08  | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 194.97/32.08  | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 194.97/32.08  | | |           op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.08  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.08  | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.08  | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.08  | | |               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.08  | | |               all_57_13 & $i(all_57_13))))
% 194.97/32.08  | | | 
% 194.97/32.08  | | | BETA: splitting (24) gives:
% 194.97/32.08  | | | 
% 194.97/32.08  | | | Case 1:
% 194.97/32.08  | | | | 
% 194.97/32.08  | | | |   (25)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3)
% 194.97/32.08  | | | |             = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.08  | | | |             $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.08  | | | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.08  | | | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 194.97/32.08  | | | |             op(e0, e1) = all_57_8 & $i(all_57_8)))
% 194.97/32.08  | | | | 
% 194.97/32.08  | | | | ALPHA: (25) implies:
% 194.97/32.08  | | | |   (26)  op(e1, e1) = e1
% 194.97/32.08  | | | | 
% 194.97/32.08  | | | | REF_CLOSE: (3), (9), (10), (26) are inconsistent by sub-proof #1959.
% 194.97/32.08  | | | | 
% 194.97/32.08  | | | Case 2:
% 194.97/32.08  | | | | 
% 194.97/32.08  | | | |   (27)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3)
% 194.97/32.08  | | | |             = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.08  | | | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.08  | | | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 194.97/32.08  | | | |         & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.97/32.08  | | | |             op(e1, e0) = all_57_13 & $i(all_57_13)))
% 194.97/32.08  | | | | 
% 194.97/32.08  | | | | ALPHA: (27) implies:
% 194.97/32.08  | | | |   (28)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.08  | | | |           op(e2, e0) = all_57_11 & $i(all_57_11))
% 194.97/32.08  | | | | 
% 194.97/32.08  | | | | REF_CLOSE: (3), (4), (5), (10), (28) are inconsistent by sub-proof #424.
% 194.97/32.08  | | | | 
% 194.97/32.08  | | | End of split
% 194.97/32.08  | | | 
% 194.97/32.08  | | End of split
% 194.97/32.08  | | 
% 194.97/32.08  | End of split
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #357 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)  op(e3, e3) = e0
% 194.97/32.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (3)  op(e2, e2) = e1
% 194.97/32.08    (4)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.08             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.08           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.08               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.08             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.08         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.97/32.08             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.08           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.08               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.08             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.08    (5)   ~ (e2 = e1)
% 194.97/32.08    (6)   ~ (e3 = e0)
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | BETA: splitting (4) gives:
% 194.97/32.08  | 
% 194.97/32.08  | Case 1:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (7)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.08  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.08  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.08  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.08  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.08  | |              e3) = all_57_2 & $i(all_57_2)))
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (7) implies:
% 194.97/32.08  | |   (8)  op(e3, e3) = e3
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1961.
% 194.97/32.08  | | 
% 194.97/32.08  | Case 2:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (9)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.08  | |            e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.08  | |            $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.08  | |            (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.08  | |        ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.08  | |              e2) = all_57_5 & $i(all_57_5)))
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (9) implies:
% 194.97/32.08  | |   (10)  op(e2, e2) = e2
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1783.
% 194.97/32.08  | | 
% 194.97/32.08  | End of split
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #358 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (2)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.08           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.08           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.08                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.08               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.08               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.08           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.08             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.08               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.08           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.08               = all_57_4 & $i(all_57_4))))
% 194.97/32.08    (3)  op(e0, e2) = e0
% 194.97/32.08    (4)  all_57_11 = e2
% 194.97/32.08    (5)   ~ (e2 = e0)
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | BETA: splitting (2) gives:
% 194.97/32.08  | 
% 194.97/32.08  | Case 1:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (6)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.08  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.08  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.08  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 194.97/32.08  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.08  | |            all_57_13 & $i(all_57_13)))
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (6) implies:
% 194.97/32.08  | |   (7)  op(e0, e2) = e2
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #423.
% 194.97/32.08  | | 
% 194.97/32.08  | Case 2:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (8)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 194.97/32.08  | |        all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.08  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.97/32.08  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.97/32.08  | |            & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 194.97/32.08  | |            & $i(all_57_4)))
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (8) implies:
% 194.97/32.08  | |   (9)  all_57_11 = e0
% 194.97/32.08  | | 
% 194.97/32.08  | | COMBINE_EQS: (4), (9) imply:
% 194.97/32.08  | |   (10)  e2 = e0
% 194.97/32.08  | | 
% 194.97/32.08  | | REDUCE: (5), (10) imply:
% 194.97/32.08  | |   (11)  $false
% 194.97/32.08  | | 
% 194.97/32.08  | | CLOSE: (11) is inconsistent.
% 194.97/32.08  | | 
% 194.97/32.08  | End of split
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #359 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (2)  op(e3, e0) = all_57_9
% 194.97/32.08    (3)  op(e0, e3) = all_52_3
% 194.97/32.08    (4)   ~ (all_57_9 = e3)
% 194.97/32.08    (5)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.08           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.08           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.08                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.08               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.08               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.08           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.08           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.08             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.08           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.08               = all_57_1 & $i(all_57_1))))
% 194.97/32.08    (6)   ~ (all_52_3 = e0)
% 194.97/32.08    (7)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.97/32.08           $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.97/32.08           & $i(all_8_1))
% 194.97/32.08    (8)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 194.97/32.08           $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 194.97/32.08           & $i(all_6_1))
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | BETA: splitting (5) gives:
% 194.97/32.08  | 
% 194.97/32.08  | Case 1:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (9)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.08  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.08  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.97/32.08  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 194.97/32.08  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.08  | |            all_57_13 & $i(all_57_13)))
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (9) implies:
% 194.97/32.08  | |   (10)  op(e3, e0) = e3
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (2), (4), (7), (8), (10) are inconsistent by sub-proof #360.
% 194.97/32.08  | | 
% 194.97/32.08  | Case 2:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (11)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 194.97/32.08  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.08  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.97/32.08  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.97/32.08  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.08  | |             all_57_1 & $i(all_57_1)))
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (11) implies:
% 194.97/32.08  | |   (12)  op(e0, e3) = e0
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (3), (6), (12) are inconsistent by sub-proof #1935.
% 194.97/32.08  | | 
% 194.97/32.08  | End of split
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #360 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)  op(e3, e0) = e3
% 194.97/32.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (3)  op(e3, e0) = all_57_9
% 194.97/32.08    (4)   ~ (all_57_9 = e3)
% 194.97/32.08    (5)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.97/32.08           $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.97/32.08           & $i(all_8_1))
% 194.97/32.08    (6)  ( ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1 &
% 194.97/32.08           $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e3, e0) = all_6_1
% 194.97/32.08           & $i(all_6_1))
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | BETA: splitting (6) gives:
% 194.97/32.08  | 
% 194.97/32.08  | Case 1:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (7)   ~ (all_6_0 = e1) & op(all_6_1, e3) = all_6_0 & op(e3, e0) = all_6_1
% 194.97/32.08  | |        & $i(all_6_0) & $i(all_6_1)
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (7) implies:
% 194.97/32.08  | |   (8)  op(e3, e0) = all_6_1
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (2), (3), (4), (5), (8) are inconsistent by sub-proof #361.
% 194.97/32.08  | | 
% 194.97/32.08  | Case 2:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (9)   ~ (all_6_1 = e2) & op(e3, e0) = all_6_1 & $i(all_6_1)
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (9) implies:
% 194.97/32.08  | |   (10)  op(e3, e0) = all_6_1
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (2), (3), (4), (5), (10) are inconsistent by sub-proof #361.
% 194.97/32.08  | | 
% 194.97/32.08  | End of split
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #361 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)  op(e3, e0) = e3
% 194.97/32.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (3)  op(e3, e0) = all_57_9
% 194.97/32.08    (4)   ~ (all_57_9 = e3)
% 194.97/32.08    (5)  op(e3, e0) = all_6_1
% 194.97/32.08    (6)  ( ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1 &
% 194.97/32.08           $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e3, e0) = all_8_1
% 194.97/32.08           & $i(all_8_1))
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | BETA: splitting (6) gives:
% 194.97/32.08  | 
% 194.97/32.08  | Case 1:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (7)   ~ (all_8_0 = e2) & op(all_8_1, e3) = all_8_0 & op(e3, e0) = all_8_1
% 194.97/32.08  | |        & $i(all_8_0) & $i(all_8_1)
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (7) implies:
% 194.97/32.08  | |   (8)  op(e3, e0) = all_8_1
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (2), (3), (4), (5), (8) are inconsistent by sub-proof #362.
% 194.97/32.08  | | 
% 194.97/32.08  | Case 2:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (9)   ~ (all_8_1 = e1) & op(e3, e0) = all_8_1 & $i(all_8_1)
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (9) implies:
% 194.97/32.08  | |   (10)  op(e3, e0) = all_8_1
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (2), (3), (4), (5), (10) are inconsistent by sub-proof #362.
% 194.97/32.08  | | 
% 194.97/32.08  | End of split
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #362 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)  op(e3, e0) = e3
% 194.97/32.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (3)  op(e3, e0) = all_57_9
% 194.97/32.08    (4)  op(e3, e0) = all_8_1
% 194.97/32.08    (5)   ~ (all_57_9 = e3)
% 194.97/32.08    (6)  op(e3, e0) = all_6_1
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | GROUND_INST: instantiating (2) with all_8_1, all_57_9, e0, e3, simplifying
% 194.97/32.08  |              with (3), (4) gives:
% 194.97/32.08  |   (7)  all_57_9 = all_8_1
% 194.97/32.08  | 
% 194.97/32.08  | GROUND_INST: instantiating (2) with all_6_1, all_57_9, e0, e3, simplifying
% 194.97/32.08  |              with (3), (6) gives:
% 194.97/32.08  |   (8)  all_57_9 = all_6_1
% 194.97/32.08  | 
% 194.97/32.08  | GROUND_INST: instantiating (2) with e3, all_57_9, e0, e3, simplifying with
% 194.97/32.08  |              (1), (3) gives:
% 194.97/32.08  |   (9)  all_57_9 = e3
% 194.97/32.08  | 
% 194.97/32.08  | COMBINE_EQS: (7), (8) imply:
% 194.97/32.08  |   (10)  all_8_1 = all_6_1
% 194.97/32.08  | 
% 194.97/32.08  | COMBINE_EQS: (7), (9) imply:
% 194.97/32.08  |   (11)  all_8_1 = e3
% 194.97/32.08  | 
% 194.97/32.08  | COMBINE_EQS: (10), (11) imply:
% 194.97/32.08  |   (12)  all_6_1 = e3
% 194.97/32.08  | 
% 194.97/32.08  | REDUCE: (5), (9) imply:
% 194.97/32.08  |   (13)  $false
% 194.97/32.08  | 
% 194.97/32.08  | CLOSE: (13) is inconsistent.
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #363 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)  op(e3, e3) = e0
% 194.97/32.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (3)  op(e1, e1) = e0
% 194.97/32.08    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.97/32.08           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.08           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.08                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.97/32.08               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.08               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.08           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 194.97/32.08           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.08               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.08           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.08               = all_57_2 & $i(all_57_2))))
% 194.97/32.08    (5)   ~ (e1 = e0)
% 194.97/32.08    (6)   ~ (e3 = e0)
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | BETA: splitting (4) gives:
% 194.97/32.08  | 
% 194.97/32.08  | Case 1:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.97/32.08  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.08  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.08  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 194.97/32.08  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.97/32.08  | |            & $i(all_57_8)))
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (7) implies:
% 194.97/32.08  | |   (8)  op(e3, e3) = e1
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1937.
% 194.97/32.08  | | 
% 194.97/32.08  | Case 2:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.97/32.08  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.08  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.97/32.08  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.97/32.08  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 194.97/32.08  | |            & $i(all_57_2)))
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (9) implies:
% 194.97/32.08  | |   (10)  op(e1, e1) = e3
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1824.
% 194.97/32.08  | | 
% 194.97/32.08  | End of split
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #364 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)  op(e3, e3) = e0
% 194.97/32.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (3)  op(e2, e2) = e1
% 194.97/32.08    (4)   ~ (e3 = e1)
% 194.97/32.08    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.08           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.08           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.08                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.08               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.08               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.08           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.97/32.08           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.08               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.08           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.08               = all_57_2 & $i(all_57_2))))
% 194.97/32.08    (6)   ~ (e2 = e0)
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | BETA: splitting (5) gives:
% 194.97/32.08  | 
% 194.97/32.08  | Case 1:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.08  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.08  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.08  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 194.97/32.08  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 194.97/32.08  | |            & $i(all_57_5)))
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (7) implies:
% 194.97/32.08  | |   (8)  op(e3, e3) = e2
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #833.
% 194.97/32.08  | | 
% 194.97/32.08  | Case 2:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 194.97/32.08  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.08  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 194.97/32.08  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.97/32.08  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 194.97/32.08  | |            & $i(all_57_2)))
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (9) implies:
% 194.97/32.08  | |   (10)  op(e2, e2) = e3
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1679.
% 194.97/32.08  | | 
% 194.97/32.08  | End of split
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #365 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)   ~ (all_52_1 = e0)
% 194.97/32.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (3)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 194.97/32.08    (4)  op(e2, e2) = e1
% 194.97/32.08    (5)   ~ (e1 = e0)
% 194.97/32.08    (6)  op(e2, e3) = all_52_1
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | BETA: splitting (3) gives:
% 194.97/32.08  | 
% 194.97/32.08  | Case 1:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (7)  all_56_2 = e0 & op(e2, e3) = e0
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (2), (6), (7) are inconsistent by sub-proof #366.
% 194.97/32.08  | | 
% 194.97/32.08  | Case 2:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (8) implies:
% 194.97/32.08  | |   (9)  op(e2, e2) = e0
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1909.
% 194.97/32.08  | | 
% 194.97/32.08  | End of split
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #366 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)  all_56_2 = e0 & op(e2, e3) = e0
% 194.97/32.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (3)  op(e2, e3) = all_52_1
% 194.97/32.08    (4)   ~ (all_52_1 = e0)
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | ALPHA: (1) implies:
% 194.97/32.08  |   (5)  op(e2, e3) = e0
% 194.97/32.08  | 
% 194.97/32.08  | GROUND_INST: instantiating (2) with all_52_1, e0, e3, e2, simplifying with
% 194.97/32.08  |              (3), (5) gives:
% 194.97/32.08  |   (6)  all_52_1 = e0
% 194.97/32.08  | 
% 194.97/32.08  | REDUCE: (4), (6) imply:
% 194.97/32.08  |   (7)  $false
% 194.97/32.08  | 
% 194.97/32.08  | CLOSE: (7) is inconsistent.
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #367 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 194.97/32.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (3)  op(e3, e2) = all_52_4
% 194.97/32.08    (4)  op(e2, e2) = e1
% 194.97/32.08    (5)   ~ (all_52_4 = e0)
% 194.97/32.08    (6)   ~ (e1 = e0)
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | BETA: splitting (1) gives:
% 194.97/32.08  | 
% 194.97/32.08  | Case 1:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (7)  all_56_1 = e0 & op(e3, e2) = e0
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #389.
% 194.97/32.08  | | 
% 194.97/32.08  | Case 2:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 194.97/32.08  | | 
% 194.97/32.08  | | ALPHA: (8) implies:
% 194.97/32.08  | |   (9)  op(e2, e2) = e0
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #1909.
% 194.97/32.08  | | 
% 194.97/32.08  | End of split
% 194.97/32.08  | 
% 194.97/32.08  End of proof
% 194.97/32.08  
% 194.97/32.08  Sub-proof #368 shows that the following formulas are inconsistent:
% 194.97/32.08  ----------------------------------------------------------------
% 194.97/32.08    (1)  op(e3, e3) = e0
% 194.97/32.08    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.97/32.08             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.08           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 194.97/32.08           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.08           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.97/32.08           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.97/32.08           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 194.97/32.08           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 194.97/32.08           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 194.97/32.08           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.08           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.08           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 194.97/32.08           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.97/32.08           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.08           $i(all_57_10) & $i(all_57_13))
% 194.97/32.08    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.08    (4)   ~ (e1 = e0)
% 194.97/32.08    (5)   ~ (e2 = e1)
% 194.97/32.08    (6)  op(e0, e0) = e2
% 194.97/32.08  
% 194.97/32.08  Begin of proof
% 194.97/32.08  | 
% 194.97/32.08  | BETA: splitting (2) gives:
% 194.97/32.08  | 
% 194.97/32.08  | Case 1:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (7)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 194.97/32.08  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.08  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 194.97/32.08  | |        (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 194.97/32.08  | |            = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.97/32.08  | |          all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 194.97/32.08  | | 
% 194.97/32.08  | | REF_CLOSE: (1), (3), (4), (5), (6), (7) are inconsistent by sub-proof #393.
% 194.97/32.08  | | 
% 194.97/32.08  | Case 2:
% 194.97/32.08  | | 
% 194.97/32.08  | |   (8)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.97/32.09  | |            = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.97/32.09  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.97/32.09  | |        (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 194.97/32.09  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 194.97/32.09  | |          e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 194.97/32.09  | |        (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 194.97/32.09  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 194.97/32.09  | |          e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.97/32.09  | | 
% 194.97/32.09  | | BETA: splitting (8) gives:
% 194.97/32.09  | | 
% 194.97/32.09  | | Case 1:
% 194.97/32.09  | | | 
% 194.97/32.09  | | |   (9)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.97/32.09  | | |          = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.97/32.09  | | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 194.97/32.09  | | | 
% 194.97/32.09  | | | ALPHA: (9) implies:
% 194.97/32.09  | | |   (10)  op(e0, e0) = e1
% 194.97/32.09  | | | 
% 194.97/32.09  | | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1780.
% 194.97/32.09  | | | 
% 194.97/32.09  | | Case 2:
% 194.97/32.09  | | | 
% 194.97/32.09  | | |   (11)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.97/32.09  | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.09  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.09  | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10
% 194.97/32.09  | | |             = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.09  | | |             e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.09  | | |           $i(all_57_10) & $i(all_57_13))
% 194.97/32.09  | | | 
% 194.97/32.09  | | | REF_CLOSE: (1), (3), (11) are inconsistent by sub-proof #407.
% 194.97/32.09  | | | 
% 194.97/32.09  | | End of split
% 194.97/32.09  | | 
% 194.97/32.09  | End of split
% 194.97/32.09  | 
% 194.97/32.09  End of proof
% 194.97/32.09  
% 194.97/32.09  Sub-proof #369 shows that the following formulas are inconsistent:
% 194.97/32.09  ----------------------------------------------------------------
% 194.97/32.09    (1)  all_56_7 = e0 & op(e1, e2) = e0
% 194.97/32.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.09    (3)  op(e1, e2) = all_52_6
% 194.97/32.09    (4)   ~ (all_52_6 = e0)
% 194.97/32.09  
% 194.97/32.09  Begin of proof
% 194.97/32.09  | 
% 194.97/32.09  | ALPHA: (1) implies:
% 194.97/32.09  |   (5)  op(e1, e2) = e0
% 194.97/32.09  | 
% 194.97/32.09  | GROUND_INST: instantiating (2) with all_52_6, e0, e2, e1, simplifying with
% 194.97/32.09  |              (3), (5) gives:
% 194.97/32.09  |   (6)  all_52_6 = e0
% 194.97/32.09  | 
% 194.97/32.09  | REDUCE: (4), (6) imply:
% 194.97/32.09  |   (7)  $false
% 194.97/32.09  | 
% 194.97/32.09  | CLOSE: (7) is inconsistent.
% 194.97/32.09  | 
% 194.97/32.09  End of proof
% 194.97/32.09  
% 194.97/32.09  Sub-proof #370 shows that the following formulas are inconsistent:
% 194.97/32.09  ----------------------------------------------------------------
% 194.97/32.09    (1)  op(e3, e3) = e0
% 194.97/32.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.09    (3)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.97/32.09             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.09           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 194.97/32.09           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.09           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.97/32.09           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 194.97/32.09    (4)   ~ (e1 = e0)
% 194.97/32.09    (5)  op(e0, e0) = e0
% 194.97/32.09  
% 194.97/32.09  Begin of proof
% 194.97/32.09  | 
% 194.97/32.09  | BETA: splitting (3) gives:
% 194.97/32.09  | 
% 194.97/32.09  | Case 1:
% 194.97/32.09  | | 
% 194.97/32.09  | |   (6)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.97/32.09  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.09  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 194.97/32.09  | | 
% 194.97/32.09  | | ALPHA: (6) implies:
% 194.97/32.09  | |   (7)  op(e0, e0) = e1
% 194.97/32.09  | | 
% 194.97/32.09  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1943.
% 194.97/32.09  | | 
% 194.97/32.09  | Case 2:
% 194.97/32.09  | | 
% 194.97/32.09  | |   (8)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 194.97/32.09  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.97/32.09  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 194.97/32.09  | | 
% 194.97/32.09  | | ALPHA: (8) implies:
% 194.97/32.09  | |   (9)  op(e3, e3) = e1
% 194.97/32.09  | | 
% 194.97/32.09  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1937.
% 194.97/32.09  | | 
% 194.97/32.09  | End of split
% 194.97/32.09  | 
% 194.97/32.09  End of proof
% 194.97/32.09  
% 194.97/32.09  Sub-proof #371 shows that the following formulas are inconsistent:
% 194.97/32.09  ----------------------------------------------------------------
% 194.97/32.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.09    (2)  op(e3, e0) = all_8_1
% 194.97/32.09    (3)  op(e3, e0) = e1
% 194.97/32.09    (4)   ~ (all_8_1 = e1)
% 194.97/32.09  
% 194.97/32.09  Begin of proof
% 194.97/32.09  | 
% 194.97/32.09  | GROUND_INST: instantiating (1) with e1, all_8_1, e0, e3, simplifying with (2),
% 194.97/32.09  |              (3) gives:
% 194.97/32.09  |   (5)  all_8_1 = e1
% 194.97/32.09  | 
% 194.97/32.09  | REDUCE: (4), (5) imply:
% 194.97/32.09  |   (6)  $false
% 194.97/32.09  | 
% 194.97/32.09  | CLOSE: (6) is inconsistent.
% 194.97/32.09  | 
% 194.97/32.09  End of proof
% 194.97/32.09  
% 194.97/32.09  Sub-proof #372 shows that the following formulas are inconsistent:
% 194.97/32.09  ----------------------------------------------------------------
% 194.97/32.09    (1)   ~ (all_52_2 = e0)
% 194.97/32.09    (2)  all_54_8 = all_52_2
% 194.97/32.09    (3)   ~ (all_8_0 = e2)
% 194.97/32.09    (4)  all_54_8 = all_8_0
% 194.97/32.09    (5)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 194.97/32.09    (6)   ~ (all_52_2 = e1)
% 194.97/32.09  
% 194.97/32.09  Begin of proof
% 194.97/32.09  | 
% 194.97/32.09  | BETA: splitting (5) gives:
% 194.97/32.09  | 
% 194.97/32.09  | Case 1:
% 194.97/32.09  | | 
% 194.97/32.09  | |   (7)  all_54_8 = e2
% 194.97/32.09  | | 
% 194.97/32.09  | | COMBINE_EQS: (4), (7) imply:
% 194.97/32.09  | |   (8)  all_8_0 = e2
% 194.97/32.09  | | 
% 194.97/32.09  | | SIMP: (8) implies:
% 194.97/32.09  | |   (9)  all_8_0 = e2
% 194.97/32.09  | | 
% 194.97/32.09  | | REDUCE: (3), (9) imply:
% 194.97/32.09  | |   (10)  $false
% 194.97/32.09  | | 
% 194.97/32.09  | | CLOSE: (10) is inconsistent.
% 194.97/32.09  | | 
% 194.97/32.09  | Case 2:
% 194.97/32.09  | | 
% 194.97/32.09  | |   (11)  all_54_8 = e1 | all_54_8 = e0
% 194.97/32.09  | | 
% 194.97/32.09  | | REF_CLOSE: (1), (2), (6), (11) are inconsistent by sub-proof #1365.
% 194.97/32.09  | | 
% 194.97/32.09  | End of split
% 194.97/32.09  | 
% 194.97/32.09  End of proof
% 194.97/32.09  
% 194.97/32.09  Sub-proof #373 shows that the following formulas are inconsistent:
% 194.97/32.09  ----------------------------------------------------------------
% 194.97/32.09    (1)  op(e3, e3) = e0
% 194.97/32.09    (2)  op(e1, e1) = e1
% 194.97/32.09    (3)  op(e1, e3) = all_52_2
% 194.97/32.09    (4)  all_54_4 = all_52_1
% 194.97/32.09    (5)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.09         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.97/32.09    (6)  op(e1, e2) = all_52_6
% 194.97/32.09    (7)  op(e0, e0) = all_14_2
% 194.97/32.09    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.97/32.09         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.97/32.09    (9)   ~ (all_52_1 = e0)
% 194.97/32.09    (10)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 194.97/32.09            op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 194.97/32.09              e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 194.97/32.09    (11)   ~ (all_14_2 = e1)
% 194.97/32.09    (12)   ~ (all_52_11 = e1)
% 194.97/32.09    (13)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.09          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/32.09    (14)   ~ (all_52_1 = all_52_9)
% 194.97/32.09    (15)   ~ (e3 = e2)
% 194.97/32.09    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.09    (17)   ~ (all_52_9 = e1)
% 194.97/32.09    (18)   ~ (all_52_13 = all_14_2)
% 194.97/32.09    (19)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 194.97/32.09            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 194.97/32.09              e1) = all_24_1 & $i(all_24_1))
% 194.97/32.09    (20)  op(e3, e2) = all_52_4
% 194.97/32.09    (21)  op(e2, e2) = e1
% 194.97/32.09    (22)   ~ (all_52_7 = all_52_11)
% 194.97/32.09    (23)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.09          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.09    (24)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/32.09          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/32.09    (25)   ~ (all_52_4 = all_52_8)
% 194.97/32.09    (26)  all_54_13 = all_52_7
% 194.97/32.09    (27)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.97/32.09          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.97/32.09    (28)   ~ (all_52_4 = e0)
% 194.97/32.09    (29)   ~ (all_52_14 = e3)
% 194.97/32.09    (30)  op(e0, e3) = all_52_3
% 194.97/32.09    (31)  op(e2, e0) = all_52_13
% 194.97/32.09    (32)  op(e1, e0) = all_52_14
% 194.97/32.09    (33)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.97/32.09    (34)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.09          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/32.09    (35)  all_56_12 = e1
% 194.97/32.09    (36)   ~ (all_52_8 = all_52_9)
% 194.97/32.09    (37)   ~ (all_52_13 = e1)
% 194.97/32.09    (38)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.97/32.09              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.97/32.09            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.97/32.09            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.97/32.09            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.09            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.97/32.09            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.97/32.09            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.97/32.09            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.97/32.09            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.97/32.09            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.09            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.97/32.09            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.09            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.09            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.97/32.09            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.09            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.09            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.97/32.09            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.09            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.97/32.09            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.97/32.09            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.09            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.09            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.97/32.09            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/32.09            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/32.09            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/32.09            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/32.09            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.09            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.97/32.09            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/32.09            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.97/32.09            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/32.09            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.09            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.09            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.97/32.09            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.09            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.09            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.97/32.09            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.09            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.97/32.09            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.97/32.09            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/32.09            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.97/32.09            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.97/32.09            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/32.09            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/32.09            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/32.09              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.97/32.09            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.09            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/32.09              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.97/32.09            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/32.09            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.97/32.09                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.97/32.09                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.09                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.09                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.09                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.97/32.09                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.97/32.09                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/32.09              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/32.09                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.97/32.09                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/32.09                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.09                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.97/32.09                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/32.09                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.09                $i(all_57_7))))
% 194.97/32.09    (39)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.97/32.09          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.97/32.09    (40)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.97/32.09          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.97/32.09    (41)   ~ (all_52_8 = e1)
% 194.97/32.09    (42)   ~ (all_52_7 = e1)
% 194.97/32.09    (43)  all_56_9 = e1
% 194.97/32.09    (44)  op(e0, e1) = all_52_11
% 194.97/32.09    (45)   ~ (all_52_14 = e1)
% 194.97/32.09    (46)   ~ (all_52_1 = e1)
% 194.97/32.09    (47)   ~ (all_14_2 = e3)
% 194.97/32.09    (48)  all_54_15 = all_14_2
% 194.97/32.09    (49)   ~ (all_52_1 = e3)
% 194.97/32.09    (50)  op(e1, e3) = e3
% 194.97/32.09    (51)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.97/32.09          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.97/32.09    (52)   ~ (e1 = e0)
% 194.97/32.09    (53)   ~ (all_52_1 = all_52_13)
% 194.97/32.09    (54)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 194.97/32.09          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 194.97/32.09    (55)   ~ (all_52_11 = all_14_2)
% 194.97/32.09    (56)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.97/32.09    (57)   ~ (all_52_8 = all_52_11)
% 194.97/32.09    (58)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.97/32.09          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.97/32.09    (59)   ~ (all_52_7 = all_14_2)
% 194.97/32.09    (60)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.97/32.09          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.97/32.09    (61)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/32.09    (62)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/32.09    (63)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/32.09              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.97/32.09                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.97/32.09                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.97/32.09    (64)   ~ (e2 = e1)
% 194.97/32.09    (65)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.09          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/32.09    (66)  all_54_14 = all_52_11
% 194.97/32.09    (67)   ~ (all_52_3 = e0)
% 194.97/32.09    (68)   ~ (all_52_2 = e1)
% 194.97/32.09    (69)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.97/32.09          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/32.09    (70)  op(e0, e3) = e1
% 194.97/32.09    (71)  all_44_2 = e1
% 194.97/32.09    (72)  op(e2, e1) = all_52_9
% 194.97/32.09    (73)  op(e3, e1) = all_52_8
% 194.97/32.09    (74)   ~ (e3 = e1)
% 194.97/32.09    (75)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.97/32.09          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.97/32.09    (76)   ~ (all_52_6 = e1)
% 194.97/32.09    (77)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.97/32.09          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.97/32.09    (78)  op(e0, e2) = all_52_7
% 194.97/32.09    (79)   ~ (e2 = e0)
% 194.97/32.09    (80)   ~ (e3 = e0)
% 194.97/32.09    (81)   ~ (all_52_9 = all_52_11)
% 194.97/32.09  
% 194.97/32.09  Begin of proof
% 194.97/32.09  | 
% 194.97/32.09  | BETA: splitting (8) gives:
% 194.97/32.09  | 
% 194.97/32.09  | Case 1:
% 194.97/32.09  | | 
% 194.97/32.09  | |   (82)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 194.97/32.09  | |           e2)
% 194.97/32.09  | | 
% 194.97/32.09  | | BETA: splitting (82) gives:
% 194.97/32.09  | | 
% 194.97/32.09  | | Case 1:
% 194.97/32.09  | | | 
% 194.97/32.09  | | |   (83)  all_56_0 = e2 & op(e3, e3) = e2
% 194.97/32.09  | | | 
% 194.97/32.09  | | | ALPHA: (83) implies:
% 194.97/32.09  | | |   (84)  op(e3, e3) = e2
% 194.97/32.09  | | | 
% 194.97/32.09  | | | REF_CLOSE: (1), (16), (79), (84) are inconsistent by sub-proof #833.
% 194.97/32.09  | | | 
% 194.97/32.09  | | Case 2:
% 194.97/32.09  | | | 
% 194.97/32.09  | | |   (85)  all_56_2 = e2 & op(e2, e3) = e2
% 194.97/32.09  | | | 
% 194.97/32.09  | | | ALPHA: (85) implies:
% 194.97/32.09  | | |   (86)  all_56_2 = e2
% 194.97/32.09  | | | 
% 194.97/32.09  | | | BETA: splitting (56) gives:
% 194.97/32.09  | | | 
% 194.97/32.09  | | | Case 1:
% 194.97/32.09  | | | | 
% 194.97/32.09  | | | |   (87)  all_54_4 = e3
% 194.97/32.09  | | | | 
% 194.97/32.09  | | | | REF_CLOSE: (4), (49), (87) are inconsistent by sub-proof #1409.
% 194.97/32.09  | | | | 
% 194.97/32.09  | | | Case 2:
% 194.97/32.09  | | | | 
% 194.97/32.09  | | | |   (88)   ~ (all_54_4 = e3)
% 194.97/32.09  | | | |   (89)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 194.97/32.09  | | | | 
% 194.97/32.09  | | | | BETA: splitting (89) gives:
% 194.97/32.09  | | | | 
% 194.97/32.09  | | | | Case 1:
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | |   (90)  all_54_4 = e2
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | | COMBINE_EQS: (4), (90) imply:
% 194.97/32.09  | | | | |   (91)  all_52_1 = e2
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | | SIMP: (91) implies:
% 194.97/32.09  | | | | |   (92)  all_52_1 = e2
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | | REDUCE: (14), (92) imply:
% 194.97/32.09  | | | | |   (93)   ~ (all_52_9 = e2)
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | | SIMP: (93) implies:
% 194.97/32.09  | | | | |   (94)   ~ (all_52_9 = e2)
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | | REDUCE: (53), (92) imply:
% 194.97/32.09  | | | | |   (95)   ~ (all_52_13 = e2)
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | | SIMP: (95) implies:
% 194.97/32.09  | | | | |   (96)   ~ (all_52_13 = e2)
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | | REDUCE: (49), (92) imply:
% 194.97/32.09  | | | | |   (97)   ~ (e3 = e2)
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | | BETA: splitting (54) gives:
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | | Case 1:
% 194.97/32.09  | | | | | | 
% 194.97/32.09  | | | | | |   (98)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2,
% 194.97/32.09  | | | | | |             e0) = e3)
% 194.97/32.09  | | | | | | 
% 194.97/32.09  | | | | | | BETA: splitting (98) gives:
% 194.97/32.09  | | | | | | 
% 194.97/32.09  | | | | | | Case 1:
% 194.97/32.09  | | | | | | | 
% 194.97/32.09  | | | | | | |   (99)  all_56_9 = e3 & op(e3, e0) = e3
% 194.97/32.09  | | | | | | | 
% 194.97/32.09  | | | | | | | ALPHA: (99) implies:
% 194.97/32.09  | | | | | | |   (100)  all_56_9 = e3
% 194.97/32.09  | | | | | | | 
% 194.97/32.09  | | | | | | | COMBINE_EQS: (43), (100) imply:
% 194.97/32.09  | | | | | | |   (101)  e3 = e1
% 194.97/32.09  | | | | | | | 
% 194.97/32.09  | | | | | | | REDUCE: (74), (101) imply:
% 194.97/32.09  | | | | | | |   (102)  $false
% 194.97/32.09  | | | | | | | 
% 194.97/32.09  | | | | | | | CLOSE: (102) is inconsistent.
% 194.97/32.09  | | | | | | | 
% 194.97/32.09  | | | | | | Case 2:
% 194.97/32.09  | | | | | | | 
% 194.97/32.09  | | | | | | |   (103)  all_56_10 = e3 & op(e2, e0) = e3
% 194.97/32.09  | | | | | | | 
% 194.97/32.09  | | | | | | | ALPHA: (103) implies:
% 194.97/32.09  | | | | | | |   (104)  all_56_10 = e3
% 194.97/32.09  | | | | | | |   (105)  op(e2, e0) = e3
% 194.97/32.09  | | | | | | | 
% 194.97/32.09  | | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (10), (11), (12), (13),
% 194.97/32.09  | | | | | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 194.97/32.09  | | | | | | |            (24), (25), (26), (27), (28), (30), (31), (32), (33),
% 194.97/32.09  | | | | | | |            (34), (36), (37), (38), (39), (40), (41), (42), (43),
% 194.97/32.09  | | | | | | |            (44), (45), (48), (51), (52), (55), (57), (58), (59),
% 194.97/32.09  | | | | | | |            (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 194.97/32.09  | | | | | | |            (69), (70), (71), (72), (73), (74), (75), (76), (77),
% 194.97/32.09  | | | | | | |            (78), (79), (80), (81), (86), (94), (96), (104), (105)
% 194.97/32.09  | | | | | | |            are inconsistent by sub-proof #374.
% 194.97/32.09  | | | | | | | 
% 194.97/32.09  | | | | | | End of split
% 194.97/32.09  | | | | | | 
% 194.97/32.09  | | | | | Case 2:
% 194.97/32.09  | | | | | | 
% 194.97/32.09  | | | | | |   (106)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 194.97/32.09  | | | | | |            op(e0, e0) = e3)
% 194.97/32.09  | | | | | | 
% 194.97/32.09  | | | | | | REF_CLOSE: (7), (16), (29), (32), (47), (106) are inconsistent by
% 194.97/32.09  | | | | | |            sub-proof #1249.
% 194.97/32.09  | | | | | | 
% 194.97/32.09  | | | | | End of split
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | Case 2:
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | |   (107)  all_54_4 = e1 | all_54_4 = e0
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | | REF_CLOSE: (4), (9), (46), (107) are inconsistent by sub-proof #1830.
% 194.97/32.09  | | | | | 
% 194.97/32.09  | | | | End of split
% 194.97/32.09  | | | | 
% 194.97/32.09  | | | End of split
% 194.97/32.09  | | | 
% 194.97/32.09  | | End of split
% 194.97/32.09  | | 
% 194.97/32.09  | Case 2:
% 194.97/32.09  | | 
% 194.97/32.09  | |   (108)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 194.97/32.09  | |            e2)
% 194.97/32.09  | | 
% 194.97/32.09  | | BETA: splitting (108) gives:
% 194.97/32.09  | | 
% 194.97/32.09  | | Case 1:
% 194.97/32.09  | | | 
% 194.97/32.09  | | |   (109)  all_56_6 = e2 & op(e1, e3) = e2
% 194.97/32.09  | | | 
% 194.97/32.09  | | | ALPHA: (109) implies:
% 194.97/32.09  | | |   (110)  op(e1, e3) = e2
% 194.97/32.09  | | | 
% 194.97/32.09  | | | REF_CLOSE: (15), (16), (50), (110) are inconsistent by sub-proof #1371.
% 194.97/32.09  | | | 
% 194.97/32.09  | | Case 2:
% 194.97/32.09  | | | 
% 194.97/32.09  | | |   (111)  all_56_12 = e2 & op(e0, e3) = e2
% 194.97/32.09  | | | 
% 194.97/32.09  | | | REF_CLOSE: (35), (64), (111) are inconsistent by sub-proof #1543.
% 194.97/32.09  | | | 
% 194.97/32.09  | | End of split
% 194.97/32.09  | | 
% 194.97/32.09  | End of split
% 194.97/32.09  | 
% 194.97/32.09  End of proof
% 194.97/32.09  
% 194.97/32.09  Sub-proof #374 shows that the following formulas are inconsistent:
% 194.97/32.09  ----------------------------------------------------------------
% 194.97/32.09    (1)  op(e3, e3) = e0
% 194.97/32.09    (2)  op(e1, e1) = e1
% 194.97/32.09    (3)  op(e1, e3) = all_52_2
% 194.97/32.09    (4)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.09         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 194.97/32.09    (5)  op(e1, e2) = all_52_6
% 194.97/32.09    (6)  op(e0, e0) = all_14_2
% 194.97/32.09    (7)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 194.97/32.09           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 194.97/32.09             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 194.97/32.09    (8)   ~ (all_14_2 = e1)
% 194.97/32.09    (9)   ~ (all_52_11 = e1)
% 194.97/32.09    (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.09          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/32.09    (11)   ~ (all_52_13 = e2)
% 194.97/32.09    (12)   ~ (e3 = e2)
% 194.97/32.09    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.09    (14)   ~ (all_52_9 = e1)
% 194.97/32.09    (15)   ~ (all_52_13 = all_14_2)
% 194.97/32.09    (16)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 194.97/32.09            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 194.97/32.09              e1) = all_24_1 & $i(all_24_1))
% 194.97/32.09    (17)  op(e3, e2) = all_52_4
% 194.97/32.09    (18)  op(e2, e0) = e3
% 194.97/32.09    (19)  op(e2, e2) = e1
% 194.97/32.09    (20)   ~ (all_52_7 = all_52_11)
% 194.97/32.09    (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.09          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.09    (22)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/32.09          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/32.09    (23)   ~ (all_52_4 = all_52_8)
% 194.97/32.09    (24)  all_54_13 = all_52_7
% 194.97/32.09    (25)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.97/32.09          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.97/32.09    (26)   ~ (all_52_4 = e0)
% 194.97/32.09    (27)  op(e0, e3) = all_52_3
% 194.97/32.09    (28)  op(e2, e0) = all_52_13
% 194.97/32.09    (29)  op(e1, e0) = all_52_14
% 194.97/32.09    (30)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.97/32.09    (31)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.09          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/32.09    (32)   ~ (all_52_8 = all_52_9)
% 194.97/32.09    (33)   ~ (all_52_13 = e1)
% 194.97/32.10    (34)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.97/32.10              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.97/32.10            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.97/32.10            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.97/32.10            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.10            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 194.97/32.10            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 194.97/32.10            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 194.97/32.10            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 194.97/32.10            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 194.97/32.10            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.10            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 194.97/32.10            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.10            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.10            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 194.97/32.10            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.10            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.10            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 194.97/32.10            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.10            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 194.97/32.10            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 194.97/32.10            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.10            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.10            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 194.97/32.10            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/32.10            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/32.10            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/32.10            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/32.10            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.10            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 194.97/32.10            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/32.10            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.97/32.10            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 194.97/32.10            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.10            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.10            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 194.97/32.10            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.10            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.10            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 194.97/32.10            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.10            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.97/32.10            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 194.97/32.10            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/32.10            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 194.97/32.10            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 194.97/32.10            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 194.97/32.10            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/32.10            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/32.10              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 194.97/32.10            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.10            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/32.10              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 194.97/32.10            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/32.10            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 194.97/32.10                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.97/32.10                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.10                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.10                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.10                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 194.97/32.10                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.97/32.10                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/32.10              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/32.10                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.97/32.10                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/32.10                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.10                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.97/32.10                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/32.10                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.10                $i(all_57_7))))
% 194.97/32.10    (35)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.97/32.10          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.97/32.10    (36)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.97/32.10          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.97/32.10    (37)   ~ (all_52_9 = e2)
% 194.97/32.10    (38)  all_56_10 = e3
% 194.97/32.10    (39)   ~ (all_52_8 = e1)
% 194.97/32.10    (40)   ~ (all_52_7 = e1)
% 194.97/32.10    (41)  all_56_9 = e1
% 194.97/32.10    (42)  op(e0, e1) = all_52_11
% 194.97/32.10    (43)   ~ (all_52_14 = e1)
% 194.97/32.10    (44)  all_54_15 = all_14_2
% 194.97/32.10    (45)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.97/32.10          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 194.97/32.10    (46)   ~ (e1 = e0)
% 194.97/32.10    (47)   ~ (all_52_11 = all_14_2)
% 194.97/32.10    (48)   ~ (all_52_8 = all_52_11)
% 194.97/32.10    (49)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.97/32.10          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.97/32.10    (50)   ~ (all_52_7 = all_14_2)
% 194.97/32.10    (51)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.97/32.10          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.97/32.10    (52)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/32.10    (53)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/32.10    (54)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/32.10              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.97/32.10                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.97/32.10                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.97/32.10    (55)   ~ (e2 = e1)
% 194.97/32.10    (56)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.10          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/32.10    (57)  all_54_14 = all_52_11
% 194.97/32.10    (58)   ~ (all_52_3 = e0)
% 194.97/32.10    (59)   ~ (all_52_2 = e1)
% 194.97/32.10    (60)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 194.97/32.10          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/32.10    (61)  op(e0, e3) = e1
% 194.97/32.10    (62)  all_44_2 = e1
% 194.97/32.10    (63)  op(e2, e1) = all_52_9
% 194.97/32.10    (64)  all_56_2 = e2
% 194.97/32.10    (65)  op(e3, e1) = all_52_8
% 194.97/32.10    (66)   ~ (e3 = e1)
% 194.97/32.10    (67)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.97/32.10          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.97/32.10    (68)   ~ (all_52_6 = e1)
% 194.97/32.10    (69)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 194.97/32.10          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 194.97/32.10    (70)  op(e0, e2) = all_52_7
% 194.97/32.10    (71)   ~ (e2 = e0)
% 194.97/32.10    (72)   ~ (e3 = e0)
% 194.97/32.10    (73)   ~ (all_52_9 = all_52_11)
% 194.97/32.10  
% 194.97/32.10  Begin of proof
% 194.97/32.10  | 
% 194.97/32.10  | BETA: splitting (49) gives:
% 194.97/32.10  | 
% 194.97/32.10  | Case 1:
% 194.97/32.10  | | 
% 194.97/32.10  | |   (74)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 194.97/32.10  | |           e3)
% 194.97/32.10  | | 
% 194.97/32.10  | | BETA: splitting (74) gives:
% 194.97/32.10  | | 
% 194.97/32.10  | | Case 1:
% 194.97/32.10  | | | 
% 194.97/32.10  | | |   (75)  all_56_0 = e3 & op(e3, e3) = e3
% 194.97/32.10  | | | 
% 194.97/32.10  | | | ALPHA: (75) implies:
% 194.97/32.10  | | |   (76)  op(e3, e3) = e3
% 194.97/32.10  | | | 
% 194.97/32.10  | | | REF_CLOSE: (1), (13), (72), (76) are inconsistent by sub-proof #1961.
% 194.97/32.10  | | | 
% 194.97/32.10  | | Case 2:
% 194.97/32.10  | | | 
% 194.97/32.10  | | |   (77)  all_56_2 = e3 & op(e2, e3) = e3
% 194.97/32.10  | | | 
% 194.97/32.10  | | | ALPHA: (77) implies:
% 194.97/32.10  | | |   (78)  all_56_2 = e3
% 194.97/32.10  | | |   (79)  op(e2, e3) = e3
% 194.97/32.10  | | | 
% 194.97/32.10  | | | REF_CLOSE: (10), (12), (13), (19), (38), (46), (55), (56), (71), (72),
% 194.97/32.10  | | |            (78), (79) are inconsistent by sub-proof #1165.
% 194.97/32.10  | | | 
% 194.97/32.10  | | End of split
% 194.97/32.10  | | 
% 194.97/32.10  | Case 2:
% 194.97/32.10  | | 
% 194.97/32.10  | |   (80)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 194.97/32.10  | |           e3)
% 194.97/32.10  | | 
% 194.97/32.10  | | BETA: splitting (80) gives:
% 194.97/32.10  | | 
% 194.97/32.10  | | Case 1:
% 194.97/32.10  | | | 
% 194.97/32.10  | | |   (81)  all_56_6 = e3 & op(e1, e3) = e3
% 194.97/32.10  | | | 
% 194.97/32.10  | | | ALPHA: (81) implies:
% 194.97/32.10  | | |   (82)  all_56_6 = e3
% 194.97/32.10  | | | 
% 194.97/32.10  | | | BETA: splitting (10) gives:
% 194.97/32.10  | | | 
% 194.97/32.10  | | | Case 1:
% 194.97/32.10  | | | | 
% 194.97/32.10  | | | |   (83)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2)
% 194.97/32.10  | | | |           = e0)
% 194.97/32.10  | | | | 
% 194.97/32.10  | | | | REF_CLOSE: (12), (13), (19), (37), (38), (46), (55), (56), (63), (71),
% 194.97/32.10  | | | |            (83) are inconsistent by sub-proof #1159.
% 194.97/32.10  | | | | 
% 194.97/32.10  | | | Case 2:
% 194.97/32.10  | | | | 
% 194.97/32.10  | | | |   (84)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0)
% 194.97/32.10  | | | |           = e0)
% 194.97/32.10  | | | | 
% 194.97/32.10  | | | | BETA: splitting (84) gives:
% 194.97/32.10  | | | | 
% 194.97/32.10  | | | | Case 1:
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | |   (85)  all_56_5 = e0 & op(e2, e1) = e0
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | ALPHA: (85) implies:
% 194.97/32.10  | | | | |   (86)  all_56_5 = e0
% 194.97/32.10  | | | | |   (87)  op(e2, e1) = e0
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | GROUND_INST: instantiating (13) with all_52_13, e3, e0, e2,
% 194.97/32.10  | | | | |              simplifying with (18), (28) gives:
% 194.97/32.10  | | | | |   (88)  all_52_13 = e3
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | GROUND_INST: instantiating (13) with all_52_9, e0, e1, e2, simplifying
% 194.97/32.10  | | | | |              with (63), (87) gives:
% 194.97/32.10  | | | | |   (89)  all_52_9 = e0
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | REDUCE: (32), (89) imply:
% 194.97/32.10  | | | | |   (90)   ~ (all_52_8 = e0)
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | REDUCE: (73), (89) imply:
% 194.97/32.10  | | | | |   (91)   ~ (all_52_11 = e0)
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | SIMP: (91) implies:
% 194.97/32.10  | | | | |   (92)   ~ (all_52_11 = e0)
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | REDUCE: (37), (89) imply:
% 194.97/32.10  | | | | |   (93)   ~ (e2 = e0)
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | REDUCE: (14), (89) imply:
% 194.97/32.10  | | | | |   (94)   ~ (e1 = e0)
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | REDUCE: (15), (88) imply:
% 194.97/32.10  | | | | |   (95)   ~ (all_14_2 = e3)
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | SIMP: (95) implies:
% 194.97/32.10  | | | | |   (96)   ~ (all_14_2 = e3)
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | BETA: splitting (7) gives:
% 194.97/32.10  | | | | | 
% 194.97/32.10  | | | | | Case 1:
% 194.97/32.10  | | | | | | 
% 194.97/32.10  | | | | | |   (97)   ~ (all_44_2 = e1)
% 194.97/32.10  | | | | | | 
% 194.97/32.10  | | | | | | REDUCE: (62), (97) imply:
% 194.97/32.10  | | | | | |   (98)  $false
% 194.97/32.10  | | | | | | 
% 194.97/32.10  | | | | | | CLOSE: (98) is inconsistent.
% 194.97/32.10  | | | | | | 
% 194.97/32.10  | | | | | Case 2:
% 194.97/32.10  | | | | | | 
% 194.97/32.10  | | | | | |   (99)  ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 & op(e2,
% 194.97/32.10  | | | | | |             e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~
% 194.97/32.10  | | | | | |           (all_44_1 = e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 194.97/32.10  | | | | | | 
% 194.97/32.10  | | | | | | BETA: splitting (99) gives:
% 194.97/32.10  | | | | | | 
% 194.97/32.10  | | | | | | Case 1:
% 194.97/32.10  | | | | | | | 
% 194.97/32.10  | | | | | | |   (100)   ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 & op(e2,
% 194.97/32.10  | | | | | | |            e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)
% 194.97/32.10  | | | | | | | 
% 194.97/32.10  | | | | | | | ALPHA: (100) implies:
% 194.97/32.10  | | | | | | |   (101)   ~ (all_44_0 = e0)
% 194.97/32.10  | | | | | | |   (102)  op(e2, e1) = all_44_1
% 194.97/32.10  | | | | | | |   (103)  op(all_44_1, e2) = all_44_0
% 194.97/32.10  | | | | | | | 
% 194.97/32.10  | | | | | | | BETA: splitting (16) gives:
% 194.97/32.10  | | | | | | | 
% 194.97/32.10  | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | |   (104)   ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 194.97/32.10  | | | | | | | |          op(e2, e1) = all_24_1 & $i(all_24_0) & $i(all_24_1)
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | ALPHA: (104) implies:
% 194.97/32.10  | | | | | | | |   (105)   ~ (all_24_0 = e3)
% 194.97/32.10  | | | | | | | |   (106)  op(e2, e1) = all_24_1
% 194.97/32.10  | | | | | | | |   (107)  op(all_24_1, e2) = all_24_0
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | GROUND_INST: instantiating (13) with e0, all_44_1, e1, e2,
% 194.97/32.10  | | | | | | | |              simplifying with (87), (102) gives:
% 194.97/32.10  | | | | | | | |   (108)  all_44_1 = e0
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | GROUND_INST: instantiating (13) with all_24_1, all_44_1, e1, e2,
% 194.97/32.10  | | | | | | | |              simplifying with (102), (106) gives:
% 194.97/32.10  | | | | | | | |   (109)  all_44_1 = all_24_1
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | COMBINE_EQS: (108), (109) imply:
% 194.97/32.10  | | | | | | | |   (110)  all_24_1 = e0
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | REDUCE: (103), (108) imply:
% 194.97/32.10  | | | | | | | |   (111)  op(e0, e2) = all_44_0
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | REDUCE: (107), (110) imply:
% 194.97/32.10  | | | | | | | |   (112)  op(e0, e2) = all_24_0
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | GROUND_INST: instantiating (13) with all_52_7, all_24_0, e2, e0,
% 194.97/32.10  | | | | | | | |              simplifying with (70), (112) gives:
% 194.97/32.10  | | | | | | | |   (113)  all_52_7 = all_24_0
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | GROUND_INST: instantiating (13) with all_52_7, all_44_0, e2, e0,
% 194.97/32.10  | | | | | | | |              simplifying with (70), (111) gives:
% 194.97/32.10  | | | | | | | |   (114)  all_52_7 = all_44_0
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | COMBINE_EQS: (113), (114) imply:
% 194.97/32.10  | | | | | | | |   (115)  all_44_0 = all_24_0
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | SIMP: (115) implies:
% 194.97/32.10  | | | | | | | |   (116)  all_44_0 = all_24_0
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | COMBINE_EQS: (24), (113) imply:
% 194.97/32.10  | | | | | | | |   (117)  all_54_13 = all_24_0
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | REDUCE: (20), (113) imply:
% 194.97/32.10  | | | | | | | |   (118)   ~ (all_52_11 = all_24_0)
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | SIMP: (118) implies:
% 194.97/32.10  | | | | | | | |   (119)   ~ (all_52_11 = all_24_0)
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | REDUCE: (50), (113) imply:
% 194.97/32.10  | | | | | | | |   (120)   ~ (all_24_0 = all_14_2)
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | REDUCE: (40), (113) imply:
% 194.97/32.10  | | | | | | | |   (121)   ~ (all_24_0 = e1)
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | REDUCE: (101), (116) imply:
% 194.97/32.10  | | | | | | | |   (122)   ~ (all_24_0 = e0)
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | BETA: splitting (54) gives:
% 194.97/32.10  | | | | | | | | 
% 194.97/32.10  | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | 
% 194.97/32.10  | | | | | | | | |   (123)  all_56_15 = e0 & op(e0, e0) = e0
% 194.97/32.10  | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | ALPHA: (123) implies:
% 194.97/32.10  | | | | | | | | |   (124)  op(e0, e0) = e0
% 194.97/32.10  | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | BETA: splitting (4) gives:
% 194.97/32.10  | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | |   (125)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 194.97/32.10  | | | | | | | | | |            & op(e2, e2) = e0)
% 194.97/32.10  | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | BETA: splitting (125) gives:
% 194.97/32.10  | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | |   (126)  all_56_1 = e0 & op(e3, e2) = e0
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | REF_CLOSE: (13), (17), (26), (126) are inconsistent by
% 194.97/32.10  | | | | | | | | | | |            sub-proof #389.
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | |   (127)  all_56_3 = e0 & op(e2, e2) = e0
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | ALPHA: (127) implies:
% 194.97/32.10  | | | | | | | | | | |   (128)  op(e2, e2) = e0
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | REF_CLOSE: (13), (28), (33), (45), (46), (55), (64), (86),
% 194.97/32.10  | | | | | | | | | | |            (128) are inconsistent by sub-proof #872.
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | End of split
% 194.97/32.10  | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | |   (129)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0
% 194.97/32.10  | | | | | | | | | |            & op(e0, e2) = e0)
% 194.97/32.10  | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | BETA: splitting (129) gives:
% 194.97/32.10  | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | |   (130)  all_56_7 = e0 & op(e1, e2) = e0
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | ALPHA: (130) implies:
% 194.97/32.10  | | | | | | | | | | |   (131)  all_56_7 = e0
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | BETA: splitting (60) gives:
% 194.97/32.10  | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | |   (132)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 194.97/32.10  | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 194.97/32.10  | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | BETA: splitting (132) gives:
% 194.97/32.10  | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | |   (133)  all_56_9 = e2 & op(e3, e0) = e2
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | ALPHA: (133) implies:
% 194.97/32.10  | | | | | | | | | | | | |   (134)  all_56_9 = e2
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | REF_CLOSE: (41), (55), (134) are inconsistent by sub-proof
% 194.97/32.10  | | | | | | | | | | | | |            #1605.
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | |   (135)  all_56_10 = e2 & op(e2, e0) = e2
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | ALPHA: (135) implies:
% 194.97/32.10  | | | | | | | | | | | | |   (136)  op(e2, e0) = e2
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | REF_CLOSE: (11), (13), (28), (136) are inconsistent by
% 194.97/32.10  | | | | | | | | | | | | |            sub-proof #1662.
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | End of split
% 194.97/32.10  | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | |   (137)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 194.97/32.10  | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 194.97/32.10  | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | BETA: splitting (137) gives:
% 194.97/32.10  | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | |   (138)  all_56_11 = e2 & op(e1, e0) = e2
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | ALPHA: (138) implies:
% 194.97/32.10  | | | | | | | | | | | | |   (139)  all_56_11 = e2
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | BETA: splitting (53) gives:
% 194.97/32.10  | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | |   (140)  all_54_13 = e3
% 194.97/32.10  | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | REF_CLOSE: (105), (117), (140) are inconsistent by sub-proof
% 194.97/32.10  | | | | | | | | | | | | | |            #388.
% 194.97/32.10  | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | |   (141)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/32.10  | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 194.97/32.10  | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | |   (142)  all_54_13 = e2
% 194.97/32.10  | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | COMBINE_EQS: (117), (142) imply:
% 194.97/32.10  | | | | | | | | | | | | | | |   (143)  all_24_0 = e2
% 194.97/32.10  | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | SIMP: (143) implies:
% 194.97/32.10  | | | | | | | | | | | | | | |   (144)  all_24_0 = e2
% 194.97/32.10  | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | REDUCE: (119), (144) imply:
% 194.97/32.10  | | | | | | | | | | | | | | |   (145)   ~ (all_52_11 = e2)
% 194.97/32.10  | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | REDUCE: (120), (144) imply:
% 194.97/32.10  | | | | | | | | | | | | | | |   (146)   ~ (all_14_2 = e2)
% 194.97/32.10  | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | SIMP: (146) implies:
% 194.97/32.10  | | | | | | | | | | | | | | |   (147)   ~ (all_14_2 = e2)
% 194.97/32.10  | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | REDUCE: (112), (144) imply:
% 194.97/32.10  | | | | | | | | | | | | | | |   (148)  op(e0, e2) = e2
% 194.97/32.10  | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 194.97/32.10  | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | |   (149)  all_54_15 = e3
% 194.97/32.10  | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | REF_CLOSE: (44), (96), (149) are inconsistent by sub-proof
% 194.97/32.10  | | | | | | | | | | | | | | | |            #1675.
% 194.97/32.10  | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | |   (150)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 194.97/32.10  | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 194.97/32.10  | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | |   (151)  all_54_14 = e3
% 194.97/32.10  | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | COMBINE_EQS: (57), (151) imply:
% 194.97/32.10  | | | | | | | | | | | | | | | | |   (152)  all_52_11 = e3
% 194.97/32.10  | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | SIMP: (152) implies:
% 194.97/32.10  | | | | | | | | | | | | | | | | |   (153)  all_52_11 = e3
% 194.97/32.10  | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | REDUCE: (48), (153) imply:
% 194.97/32.10  | | | | | | | | | | | | | | | | |   (154)   ~ (all_52_8 = e3)
% 194.97/32.10  | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 194.97/32.10  | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | |   (155)  all_54_15 = e2
% 194.97/32.10  | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (147), (155) are inconsistent by sub-proof
% 194.97/32.10  | | | | | | | | | | | | | | | | | |            #1648.
% 194.97/32.10  | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | |   (156)   ~ (all_54_15 = e2)
% 194.97/32.10  | | | | | | | | | | | | | | | | | |   (157)  all_54_15 = e1 | all_54_15 = e0
% 194.97/32.10  | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |   (158)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |   (159)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |   (160)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |   (161)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |   (162)  op(e1, e1) = e3
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (13), (36), (46), (55), (59), (66), (131),
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |            (139), (162) are inconsistent by sub-proof #387.
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |   (163)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |   (164)  op(e0, e0) = e3
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13), (44), (96), (157), (164) are
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1647.
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |   (165)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (13), (19), (59), (66), (165) are
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1678.
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |   (166)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |   (167)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |   (168)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |   (169)  op(e1, e1) = e2
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (13), (55), (169) are inconsistent by
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1955.
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |   (170)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (170) implies:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |   (171)  op(e0, e0) = e2
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13), (44), (147), (157), (171) are
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1645.
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |   (172)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (65), (68), (154), (172) are
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1677.
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.10  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |   (173)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.10  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |   (174)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |   (175)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |   (176)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |   (177)  op(e0, e0) = e1
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13), (44), (157), (177) are
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1642.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |   (178)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (178) implies:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |   (179)  op(e3, e3) = e1
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (13), (46), (179) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1937.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |   (180)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |   (181)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |   (182)  op(e0, e0) = e1
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13), (44), (157), (182) are
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1642.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |   (183)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (13), (183) are inconsistent by sub-proof
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            #407.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |   (184)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |   (185)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (28), (29), (43), (185) are
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #560.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |   (186)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |   (187)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |   (188)  op(e2, e0) = e2
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (28), (188) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |   (189)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |   (191)  op(e1, e0) = e1
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (29), (43), (191) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |   (192)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (13), (19), (27), (42), (46), (58), (66),
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |            (71), (92), (148), (192) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #384.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | |   (193)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (57), (92), (145), (193) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | | | | | | |            sub-proof #1736.
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | |   (194)  all_54_13 = e1 | all_54_13 = e0
% 194.97/32.11  | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | REF_CLOSE: (117), (121), (122), (194) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | | | | |            sub-proof #383.
% 194.97/32.11  | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | |   (195)  all_56_15 = e2 & op(e0, e0) = e2
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | ALPHA: (195) implies:
% 194.97/32.11  | | | | | | | | | | | | |   (196)  op(e0, e0) = e2
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | REF_CLOSE: (13), (71), (124), (196) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | | |            sub-proof #1945.
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | |   (197)  all_56_13 = e0 & op(e0, e2) = e0
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | ALPHA: (197) implies:
% 194.97/32.11  | | | | | | | | | | |   (198)  op(e0, e2) = e0
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | REF_CLOSE: (13), (53), (105), (112), (117), (121), (122),
% 194.97/32.11  | | | | | | | | | | |            (198) are inconsistent by sub-proof #382.
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | 
% 194.97/32.11  | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | 
% 194.97/32.11  | | | | | | | | |   (199)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0
% 194.97/32.11  | | | | | | | | |              & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.97/32.11  | | | | | | | | |              = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 194.97/32.11  | | | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 194.97/32.11  | | | | | | | | |              e0 & op(e0, e1) = e0))
% 194.97/32.11  | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | ALPHA: (199) implies:
% 194.97/32.11  | | | | | | | | |   (200)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0
% 194.97/32.11  | | | | | | | | |            & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 194.97/32.11  | | | | | | | | |            e0)
% 194.97/32.11  | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | REF_CLOSE: (13), (27), (42), (53), (58), (92), (105), (112),
% 194.97/32.11  | | | | | | | | |            (117), (121), (122), (200) are inconsistent by
% 194.97/32.11  | | | | | | | | |            sub-proof #381.
% 194.97/32.11  | | | | | | | | | 
% 194.97/32.11  | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | |   (201)   ~ (all_24_1 = e0) & op(e2, e1) = all_24_1 &
% 194.97/32.11  | | | | | | | |          $i(all_24_1)
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | REF_CLOSE: (13), (87), (201) are inconsistent by sub-proof #380.
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | End of split
% 194.97/32.11  | | | | | | | 
% 194.97/32.11  | | | | | | Case 2:
% 194.97/32.11  | | | | | | | 
% 194.97/32.11  | | | | | | |   (202)   ~ (all_44_1 = e3) & op(e2, e1) = all_44_1 & $i(all_44_1)
% 194.97/32.11  | | | | | | | 
% 194.97/32.11  | | | | | | | ALPHA: (202) implies:
% 194.97/32.11  | | | | | | |   (203)   ~ (all_44_1 = e3)
% 194.97/32.11  | | | | | | |   (204)  op(e2, e1) = all_44_1
% 194.97/32.11  | | | | | | | 
% 194.97/32.11  | | | | | | | BETA: splitting (16) gives:
% 194.97/32.11  | | | | | | | 
% 194.97/32.11  | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | |   (205)   ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 194.97/32.11  | | | | | | | |          op(e2, e1) = all_24_1 & $i(all_24_0) & $i(all_24_1)
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | ALPHA: (205) implies:
% 194.97/32.11  | | | | | | | |   (206)   ~ (all_24_0 = e3)
% 194.97/32.11  | | | | | | | |   (207)  op(e2, e1) = all_24_1
% 194.97/32.11  | | | | | | | |   (208)  op(all_24_1, e2) = all_24_0
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | GROUND_INST: instantiating (13) with e0, all_44_1, e1, e2,
% 194.97/32.11  | | | | | | | |              simplifying with (87), (204) gives:
% 194.97/32.11  | | | | | | | |   (209)  all_44_1 = e0
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | GROUND_INST: instantiating (13) with all_24_1, all_44_1, e1, e2,
% 194.97/32.11  | | | | | | | |              simplifying with (204), (207) gives:
% 194.97/32.11  | | | | | | | |   (210)  all_44_1 = all_24_1
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | COMBINE_EQS: (209), (210) imply:
% 194.97/32.11  | | | | | | | |   (211)  all_24_1 = e0
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | REDUCE: (203), (209) imply:
% 194.97/32.11  | | | | | | | |   (212)   ~ (e3 = e0)
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | REDUCE: (208), (211) imply:
% 194.97/32.11  | | | | | | | |   (213)  op(e0, e2) = all_24_0
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | GROUND_INST: instantiating (13) with all_52_7, all_24_0, e2, e0,
% 194.97/32.11  | | | | | | | |              simplifying with (70), (213) gives:
% 194.97/32.11  | | | | | | | |   (214)  all_52_7 = all_24_0
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | COMBINE_EQS: (24), (214) imply:
% 194.97/32.11  | | | | | | | |   (215)  all_54_13 = all_24_0
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | REDUCE: (20), (214) imply:
% 194.97/32.11  | | | | | | | |   (216)   ~ (all_52_11 = all_24_0)
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | SIMP: (216) implies:
% 194.97/32.11  | | | | | | | |   (217)   ~ (all_52_11 = all_24_0)
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | REDUCE: (40), (214) imply:
% 194.97/32.11  | | | | | | | |   (218)   ~ (all_24_0 = e1)
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | BETA: splitting (31) gives:
% 194.97/32.11  | | | | | | | | 
% 194.97/32.11  | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | 
% 194.97/32.11  | | | | | | | | |   (219)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 &
% 194.97/32.11  | | | | | | | | |            op(e2, e2) = e3)
% 194.97/32.11  | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | BETA: splitting (219) gives:
% 194.97/32.11  | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | |   (220)  all_56_1 = e3 & op(e3, e2) = e3
% 194.97/32.11  | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | ALPHA: (220) implies:
% 194.97/32.11  | | | | | | | | | |   (221)  op(e3, e2) = e3
% 194.97/32.11  | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | BETA: splitting (51) gives:
% 194.97/32.11  | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | |   (222)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 194.97/32.11  | | | | | | | | | | |            & op(e2, e1) = e3)
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | BETA: splitting (222) gives:
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | |   (223)  all_56_4 = e3 & op(e3, e1) = e3
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | ALPHA: (223) implies:
% 194.97/32.11  | | | | | | | | | | | |   (224)  op(e3, e1) = e3
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | REF_CLOSE: (13), (17), (23), (65), (221), (224) are
% 194.97/32.11  | | | | | | | | | | | |            inconsistent by sub-proof #497.
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | |   (225)  all_56_5 = e3 & op(e2, e1) = e3
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | ALPHA: (225) implies:
% 194.97/32.11  | | | | | | | | | | | |   (226)  op(e2, e1) = e3
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | REF_CLOSE: (13), (203), (204), (226) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | |            sub-proof #1042.
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | |   (227)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 194.97/32.11  | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | BETA: splitting (227) gives:
% 194.97/32.11  | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | |   (228)  all_56_8 = e3 & op(e1, e1) = e3
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | ALPHA: (228) implies:
% 194.97/32.11  | | | | | | | | | | | |   (229)  op(e1, e1) = e3
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | REF_CLOSE: (9), (13), (22), (39), (42), (46), (65), (66),
% 194.97/32.11  | | | | | | | | | | | |            (86), (229) are inconsistent by sub-proof #1234.
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | |   (230)  all_56_14 = e3 & op(e0, e1) = e3
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | ALPHA: (230) implies:
% 194.97/32.11  | | | | | | | | | | | |   (231)  all_56_14 = e3
% 194.97/32.11  | | | | | | | | | | | |   (232)  op(e0, e1) = e3
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | BETA: splitting (35) gives:
% 194.97/32.11  | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | |   (233)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 194.97/32.11  | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | REF_CLOSE: (1), (12), (13), (71), (221), (233) are
% 194.97/32.11  | | | | | | | | | | | | |            inconsistent by sub-proof #379.
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | |   (234)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 194.97/32.11  | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | BETA: splitting (234) gives:
% 194.97/32.11  | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | |   (235)  all_56_4 = e2 & op(e3, e1) = e2
% 194.97/32.11  | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | ALPHA: (235) implies:
% 194.97/32.11  | | | | | | | | | | | | | |   (236)  op(e3, e1) = e2
% 194.97/32.11  | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_52_11, e3, e1, e0,
% 194.97/32.11  | | | | | | | | | | | | | |              simplifying with (42), (232) gives:
% 194.97/32.11  | | | | | | | | | | | | | |   (237)  all_52_11 = e3
% 194.97/32.11  | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_52_8, e2, e1, e3,
% 194.97/32.11  | | | | | | | | | | | | | |              simplifying with (65), (236) gives:
% 194.97/32.11  | | | | | | | | | | | | | |   (238)  all_52_8 = e2
% 194.97/32.11  | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_52_4, e3, e2, e3,
% 194.97/32.11  | | | | | | | | | | | | | |              simplifying with (17), (221) gives:
% 194.97/32.11  | | | | | | | | | | | | | |   (239)  all_52_4 = e3
% 194.97/32.11  | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | REDUCE: (48), (237), (238) imply:
% 194.97/32.11  | | | | | | | | | | | | | |   (240)   ~ (e3 = e2)
% 194.97/32.11  | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | REDUCE: (217), (237) imply:
% 194.97/32.11  | | | | | | | | | | | | | |   (241)   ~ (all_24_0 = e3)
% 194.97/32.11  | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 194.97/32.11  | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | |   (242)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.11  | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.11  | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.97/32.11  | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.11  | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.11  | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.97/32.11  | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.11  | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.97/32.11  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.97/32.11  | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.97/32.11  | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.97/32.11  | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.11  | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.11  | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 194.97/32.11  | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.97/32.11  | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.97/32.11  | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.11  | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 194.97/32.11  | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 194.97/32.11  | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 194.97/32.11  | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.11  | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 194.97/32.11  | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 194.97/32.11  | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 194.97/32.11  | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.97/32.11  | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.97/32.11  | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.11  | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | |   (243)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.11  | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.97/32.11  | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.11  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.97/32.11  | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.11  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.97/32.11  | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.97/32.11  | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.97/32.11  | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | |   (244)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.11  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 194.97/32.11  | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.11  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | |   (245)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | |          op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 194.97/32.11  | | | | | | | | | | | | | | | | | |   (246)  op(e1, e1) = e3
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (21), (22), (55), (63), (66),
% 194.97/32.11  | | | | | | | | | | | | | | | | | |            (71), (86), (231), (246) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | | | | | | | |            sub-proof #378.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | |   (247)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | ALPHA: (247) implies:
% 194.97/32.11  | | | | | | | | | | | | | | | | | |   (248)  op(e0, e0) = e3
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (96), (248) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | | | | | | | |            sub-proof #1977.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | |   (249)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.11  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 194.97/32.11  | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (13), (19), (59), (66), (249) are
% 194.97/32.11  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1678.
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | End of split
% 194.97/32.11  | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | |   (250)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.11  | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.97/32.11  | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.97/32.11  | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.11  | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.97/32.11  | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 194.97/32.11  | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.97/32.11  | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.97/32.11  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 194.97/32.11  | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.97/32.11  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.97/32.11  | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/32.11  | | | | | | | | | | | | | | | |            $i(all_57_10))
% 194.97/32.11  | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | |   (251)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.11  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 194.97/32.11  | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.11  | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 194.97/32.11  | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | |   (252)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.11  | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.97/32.11  | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 194.97/32.11  | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | ALPHA: (252) implies:
% 194.97/32.11  | | | | | | | | | | | | | | | | | |   (253)  op(e1, e1) = e2
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (13), (55), (253) are inconsistent by
% 194.97/32.11  | | | | | | | | | | | | | | | | | |            sub-proof #1955.
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.11  | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.11  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (254)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | ALPHA: (254) implies:
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (255)   ~ (all_57_10 = e2)
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (256)   ~ (all_57_5 = e0)
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (257)  op(e0, e0) = e2
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (258)  op(e0, e2) = all_57_5
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (259)  op(e3, e3) = all_57_10
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_14_2, e2, e0, e0,
% 194.97/32.12  | | | | | | | | | | | | | | | | | |              simplifying with (6), (257) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (260)  all_14_2 = e2
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_24_0, all_57_5, e2,
% 194.97/32.12  | | | | | | | | | | | | | | | | | |              e0, simplifying with (213), (258) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (261)  all_57_5 = all_24_0
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with e0, all_57_10, e3, e3,
% 194.97/32.12  | | | | | | | | | | | | | | | | | |              simplifying with (1), (259) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (262)  all_57_10 = e0
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | REDUCE: (256), (261) imply:
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (263)   ~ (all_24_0 = e0)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |   (264)  all_56_15 = e0 & op(e0, e0) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |   (265)  op(e0, e0) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (71), (257), (265) are inconsistent by
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            sub-proof #1945.
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |   (266)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |   (267)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (27), (42), (53), (58), (92), (206), (213),
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            (215), (218), (263), (267) are inconsistent by
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            sub-proof #381.
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | |   (268)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 194.97/32.12  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 194.97/32.12  | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 194.97/32.12  | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (17), (23), (65), (68), (221), (268)
% 194.97/32.12  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #426.
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | |   (269)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.12  | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.12  | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.97/32.12  | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.12  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.97/32.12  | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.12  | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.97/32.12  | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.97/32.12  | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.97/32.12  | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.97/32.12  | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.97/32.12  | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.12  | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.97/32.12  | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.12  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.12  | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.12  | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 194.97/32.12  | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 194.97/32.12  | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 194.97/32.12  | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 194.97/32.12  | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 194.97/32.12  | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 194.97/32.12  | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 194.97/32.12  | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 194.97/32.12  | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.12  | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.97/32.12  | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.97/32.12  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.12  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.97/32.12  | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.97/32.12  | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.97/32.12  | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.97/32.12  | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.97/32.12  | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.97/32.12  | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.97/32.12  | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.12  | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.97/32.12  | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.97/32.12  | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.12  | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.97/32.12  | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.97/32.12  | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | Case 1:
% 194.97/32.12  | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | |   (270)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 194.97/32.12  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.12  | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 194.97/32.12  | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.12  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 194.97/32.12  | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.12  | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.97/32.12  | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 194.97/32.12  | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 194.97/32.12  | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.97/32.12  | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 194.97/32.12  | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.12  | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 194.97/32.12  | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.12  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.12  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.12  | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 194.97/32.12  | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (8), (13), (46), (270) are inconsistent
% 194.97/32.12  | | | | | | | | | | | | | | | |            by sub-proof #377.
% 194.97/32.12  | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | |   (271)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.97/32.12  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.97/32.12  | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.97/32.12  | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.97/32.12  | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.97/32.12  | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/32.12  | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 194.97/32.12  | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.12  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 194.97/32.12  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.12  | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 194.97/32.12  | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 194.97/32.12  | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 194.97/32.12  | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 194.97/32.12  | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.12  | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 194.97/32.12  | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 194.97/32.12  | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.97/32.12  | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.97/32.12  | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.12  | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.97/32.12  | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.97/32.12  | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.97/32.12  | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.97/32.12  | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | |   (272)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 194.97/32.12  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 194.97/32.12  | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 194.97/32.12  | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 194.97/32.12  | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (28), (29), (43), (272) are
% 194.97/32.12  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #560.
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | |   (273)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/32.12  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 194.97/32.12  | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 194.97/32.12  | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.97/32.12  | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 194.97/32.12  | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 194.97/32.12  | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.12  | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 194.97/32.12  | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 194.97/32.12  | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 194.97/32.12  | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (274)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | ALPHA: (274) implies:
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (275)  op(e2, e0) = e2
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (28), (275) are inconsistent by
% 194.97/32.12  | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | |   (276)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 194.97/32.12  | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/32.12  | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.97/32.12  | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 194.97/32.12  | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |   (277)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | ALPHA: (277) implies:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |   (278)  op(e1, e0) = e1
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (29), (43), (278) are inconsistent by
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |   (279)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |   (280)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |   (281)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |   (282)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |   (283)  op(e2, e2) = e3
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (19), (66), (283) are inconsistent by
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1679.
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |   (284)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (27), (58), (221), (284) are inconsistent by
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1808.
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |   (285)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | Case 1:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |   (286)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |   (287)  op(e1, e1) = e2
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (13), (55), (287) are inconsistent by
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1955.
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |   (288)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (13), (42), (46), (92), (288) are
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #385.
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | |   (289)  all_56_9 = e2 & op(e3, e0) = e2
% 194.97/32.12  | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | ALPHA: (289) implies:
% 194.97/32.12  | | | | | | | | | | | | | |   (290)  all_56_9 = e2
% 194.97/32.12  | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | | REF_CLOSE: (41), (55), (290) are inconsistent by sub-proof
% 194.97/32.12  | | | | | | | | | | | | | |            #1605.
% 194.97/32.12  | | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | |   (291)  all_56_3 = e3 & op(e2, e2) = e3
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | ALPHA: (291) implies:
% 194.97/32.12  | | | | | | | | | |   (292)  op(e2, e2) = e3
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | REF_CLOSE: (13), (19), (66), (292) are inconsistent by
% 194.97/32.12  | | | | | | | | | |            sub-proof #1679.
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | 
% 194.97/32.12  | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | 
% 194.97/32.12  | | | | | | | | |   (293)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 194.97/32.12  | | | | | | | | |            op(e0, e2) = e3)
% 194.97/32.12  | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | BETA: splitting (293) gives:
% 194.97/32.12  | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | Case 1:
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | |   (294)  all_56_7 = e3 & op(e1, e2) = e3
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | ALPHA: (294) implies:
% 194.97/32.12  | | | | | | | | | |   (295)  all_56_7 = e3
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | REF_CLOSE: (2), (12), (13), (25), (36), (46), (55), (66),
% 194.97/32.12  | | | | | | | | | |            (67), (69), (71), (72), (82), (295) are
% 194.97/32.12  | | | | | | | | | |            inconsistent by sub-proof #1116.
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | |   (296)  all_56_13 = e3 & op(e0, e2) = e3
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | | REF_CLOSE: (13), (206), (213), (296) are inconsistent by
% 194.97/32.12  | | | | | | | | | |            sub-proof #376.
% 194.97/32.12  | | | | | | | | | | 
% 194.97/32.12  | | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | | 
% 194.97/32.12  | | | | | | | | End of split
% 194.97/32.12  | | | | | | | | 
% 194.97/32.12  | | | | | | | Case 2:
% 194.97/32.12  | | | | | | | | 
% 194.97/32.12  | | | | | | | |   (297)   ~ (all_24_1 = e0) & op(e2, e1) = all_24_1 &
% 194.97/32.12  | | | | | | | |          $i(all_24_1)
% 194.97/32.12  | | | | | | | | 
% 194.97/32.12  | | | | | | | | REF_CLOSE: (13), (87), (297) are inconsistent by sub-proof #380.
% 194.97/32.12  | | | | | | | | 
% 194.97/32.12  | | | | | | | End of split
% 194.97/32.12  | | | | | | | 
% 194.97/32.12  | | | | | | End of split
% 194.97/32.12  | | | | | | 
% 194.97/32.12  | | | | | End of split
% 194.97/32.12  | | | | | 
% 194.97/32.12  | | | | Case 2:
% 194.97/32.12  | | | | | 
% 194.97/32.12  | | | | |   (298)  all_56_10 = e0 & op(e2, e0) = e0
% 194.97/32.12  | | | | | 
% 194.97/32.12  | | | | | ALPHA: (298) implies:
% 194.97/32.12  | | | | |   (299)  all_56_10 = e0
% 194.97/32.12  | | | | | 
% 194.97/32.12  | | | | | REF_CLOSE: (38), (72), (299) are inconsistent by sub-proof #1432.
% 194.97/32.12  | | | | | 
% 194.97/32.12  | | | | End of split
% 194.97/32.12  | | | | 
% 194.97/32.12  | | | End of split
% 194.97/32.12  | | | 
% 194.97/32.12  | | Case 2:
% 194.97/32.12  | | | 
% 194.97/32.12  | | |   (300)  all_56_12 = e3 & op(e0, e3) = e3
% 194.97/32.12  | | | 
% 194.97/32.12  | | | ALPHA: (300) implies:
% 194.97/32.12  | | |   (301)  op(e0, e3) = e3
% 194.97/32.12  | | | 
% 194.97/32.12  | | | REF_CLOSE: (13), (61), (66), (301) are inconsistent by sub-proof #375.
% 194.97/32.12  | | | 
% 194.97/32.12  | | End of split
% 194.97/32.12  | | 
% 194.97/32.12  | End of split
% 194.97/32.12  | 
% 194.97/32.12  End of proof
% 194.97/32.12  
% 194.97/32.12  Sub-proof #375 shows that the following formulas are inconsistent:
% 194.97/32.12  ----------------------------------------------------------------
% 194.97/32.12    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.12    (2)  op(e0, e3) = e3
% 194.97/32.12    (3)  op(e0, e3) = e1
% 194.97/32.12    (4)   ~ (e3 = e1)
% 194.97/32.12  
% 194.97/32.12  Begin of proof
% 194.97/32.12  | 
% 194.97/32.12  | GROUND_INST: instantiating (1) with e1, e3, e3, e0, simplifying with (2), (3)
% 194.97/32.12  |              gives:
% 194.97/32.12  |   (5)  e3 = e1
% 194.97/32.12  | 
% 194.97/32.12  | REDUCE: (4), (5) imply:
% 194.97/32.12  |   (6)  $false
% 194.97/32.12  | 
% 194.97/32.12  | CLOSE: (6) is inconsistent.
% 194.97/32.12  | 
% 194.97/32.12  End of proof
% 194.97/32.12  
% 194.97/32.12  Sub-proof #376 shows that the following formulas are inconsistent:
% 194.97/32.12  ----------------------------------------------------------------
% 194.97/32.12    (1)  all_56_13 = e3 & op(e0, e2) = e3
% 194.97/32.12    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.12    (3)  op(e0, e2) = all_24_0
% 194.97/32.12    (4)   ~ (all_24_0 = e3)
% 194.97/32.12  
% 194.97/32.12  Begin of proof
% 194.97/32.12  | 
% 194.97/32.12  | ALPHA: (1) implies:
% 194.97/32.12  |   (5)  op(e0, e2) = e3
% 194.97/32.12  | 
% 194.97/32.12  | GROUND_INST: instantiating (2) with all_24_0, e3, e2, e0, simplifying with
% 194.97/32.12  |              (3), (5) gives:
% 194.97/32.12  |   (6)  all_24_0 = e3
% 194.97/32.12  | 
% 194.97/32.12  | REDUCE: (4), (6) imply:
% 194.97/32.12  |   (7)  $false
% 194.97/32.12  | 
% 194.97/32.12  | CLOSE: (7) is inconsistent.
% 194.97/32.12  | 
% 194.97/32.12  End of proof
% 194.97/32.12  
% 194.97/32.12  Sub-proof #377 shows that the following formulas are inconsistent:
% 194.97/32.12  ----------------------------------------------------------------
% 194.97/32.12    (1)  op(e3, e3) = e0
% 194.97/32.12    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.97/32.12             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.12           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 194.97/32.12           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.12           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.97/32.12           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 194.97/32.12           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 194.97/32.12           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 194.97/32.12           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 194.97/32.12           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 194.97/32.12           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 194.97/32.12           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 194.97/32.12           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 194.97/32.12           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.12           $i(all_57_10) & $i(all_57_13))
% 194.97/32.12    (3)  op(e0, e0) = all_14_2
% 194.97/32.12    (4)   ~ (all_14_2 = e1)
% 194.97/32.12    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.12    (6)   ~ (e1 = e0)
% 194.97/32.12  
% 194.97/32.12  Begin of proof
% 194.97/32.12  | 
% 194.97/32.12  | BETA: splitting (2) gives:
% 194.97/32.12  | 
% 194.97/32.12  | Case 1:
% 194.97/32.12  | | 
% 194.97/32.12  | |   (7)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 194.97/32.12  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.12  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 194.97/32.12  | |        (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 194.97/32.12  | |            = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.97/32.12  | |          all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 194.97/32.12  | | 
% 194.97/32.12  | | BETA: splitting (7) gives:
% 194.97/32.12  | | 
% 194.97/32.12  | | Case 1:
% 194.97/32.12  | | | 
% 194.97/32.12  | | |   (8)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 194.97/32.12  | | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.12  | | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 194.97/32.12  | | | 
% 194.97/32.12  | | | ALPHA: (8) implies:
% 194.97/32.12  | | |   (9)  op(e0, e0) = e1
% 194.97/32.12  | | | 
% 194.97/32.12  | | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #1967.
% 194.97/32.12  | | | 
% 194.97/32.12  | | Case 2:
% 194.97/32.12  | | | 
% 194.97/32.12  | | |   (10)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.97/32.12  | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/32.12  | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 194.97/32.12  | | |         $i(all_57_12)
% 194.97/32.12  | | | 
% 194.97/32.12  | | | ALPHA: (10) implies:
% 194.97/32.12  | | |   (11)  op(e3, e3) = e1
% 194.97/32.12  | | | 
% 194.97/32.12  | | | REF_CLOSE: (1), (5), (6), (11) are inconsistent by sub-proof #1937.
% 194.97/32.12  | | | 
% 194.97/32.12  | | End of split
% 194.97/32.12  | | 
% 194.97/32.12  | Case 2:
% 194.97/32.12  | | 
% 194.97/32.12  | |   (12)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 194.97/32.12  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 194.97/32.12  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 194.97/32.12  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.97/32.12  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.12  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.12  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 194.97/32.12  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 194.97/32.12  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 194.97/32.12  | |           $i(all_57_13))
% 194.97/32.12  | | 
% 194.97/32.12  | | BETA: splitting (12) gives:
% 194.97/32.12  | | 
% 194.97/32.12  | | Case 1:
% 194.97/32.12  | | | 
% 194.97/32.12  | | |   (13)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 194.97/32.12  | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 194.97/32.12  | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 194.97/32.12  | | |         $i(all_57_12)
% 194.97/32.12  | | | 
% 194.97/32.12  | | | ALPHA: (13) implies:
% 194.97/32.12  | | |   (14)  op(e0, e0) = e1
% 194.97/32.12  | | | 
% 194.97/32.12  | | | REF_CLOSE: (3), (4), (5), (14) are inconsistent by sub-proof #1967.
% 194.97/32.12  | | | 
% 194.97/32.12  | | Case 2:
% 194.97/32.12  | | | 
% 194.97/32.12  | | |   (15)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 194.97/32.12  | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 194.97/32.12  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 194.97/32.12  | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10
% 194.97/32.12  | | |             = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.12  | | |             e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 194.97/32.12  | | |           $i(all_57_10) & $i(all_57_13))
% 194.97/32.12  | | | 
% 194.97/32.12  | | | REF_CLOSE: (1), (5), (15) are inconsistent by sub-proof #407.
% 194.97/32.12  | | | 
% 194.97/32.12  | | End of split
% 194.97/32.12  | | 
% 194.97/32.12  | End of split
% 194.97/32.12  | 
% 194.97/32.12  End of proof
% 194.97/32.12  
% 194.97/32.12  Sub-proof #378 shows that the following formulas are inconsistent:
% 194.97/32.12  ----------------------------------------------------------------
% 194.97/32.12    (1)   ~ (e3 = e2)
% 194.97/32.12    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.12    (3)   ~ (all_52_9 = e1)
% 194.97/32.12    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.13         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.13    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/32.13         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/32.13    (6)  all_56_14 = e3
% 194.97/32.13    (7)  all_56_5 = e0
% 194.97/32.13    (8)   ~ (e2 = e1)
% 194.97/32.13    (9)  op(e2, e1) = all_52_9
% 194.97/32.13    (10)   ~ (e3 = e1)
% 194.97/32.13    (11)  op(e1, e1) = e3
% 194.97/32.13    (12)   ~ (e2 = e0)
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | BETA: splitting (5) gives:
% 194.97/32.13  | 
% 194.97/32.13  | Case 1:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 194.97/32.13  | |           e1)
% 194.97/32.13  | | 
% 194.97/32.13  | | BETA: splitting (13) gives:
% 194.97/32.13  | | 
% 194.97/32.13  | | Case 1:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (14)  all_56_4 = e1 & op(e3, e1) = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (14) implies:
% 194.97/32.13  | | |   (15)  all_56_4 = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (11), (12), (15) are inconsistent
% 194.97/32.13  | | |            by sub-proof #1609.
% 194.97/32.13  | | | 
% 194.97/32.13  | | Case 2:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (16)  all_56_5 = e1 & op(e2, e1) = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (16) implies:
% 194.97/32.13  | | |   (17)  op(e2, e1) = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (2), (3), (9), (17) are inconsistent by sub-proof #1755.
% 194.97/32.13  | | | 
% 194.97/32.13  | | End of split
% 194.97/32.13  | | 
% 194.97/32.13  | Case 2:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (18)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 194.97/32.13  | |           e1)
% 194.97/32.13  | | 
% 194.97/32.13  | | BETA: splitting (18) gives:
% 194.97/32.13  | | 
% 194.97/32.13  | | Case 1:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (19)  all_56_8 = e1 & op(e1, e1) = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (19) implies:
% 194.97/32.13  | | |   (20)  op(e1, e1) = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (2), (10), (11), (20) are inconsistent by sub-proof #1978.
% 194.97/32.13  | | | 
% 194.97/32.13  | | Case 2:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (21)  all_56_14 = e1 & op(e0, e1) = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (21) implies:
% 194.97/32.13  | | |   (22)  all_56_14 = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (6), (10), (22) are inconsistent by sub-proof #1812.
% 194.97/32.13  | | | 
% 194.97/32.13  | | End of split
% 194.97/32.13  | | 
% 194.97/32.13  | End of split
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #379 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)  op(e3, e3) = e0
% 194.97/32.13    (2)   ~ (e3 = e2)
% 194.97/32.13    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 194.97/32.13    (5)  op(e3, e2) = e3
% 194.97/32.13    (6)   ~ (e2 = e0)
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | BETA: splitting (4) gives:
% 194.97/32.13  | 
% 194.97/32.13  | Case 1:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 194.97/32.13  | | 
% 194.97/32.13  | | ALPHA: (7) implies:
% 194.97/32.13  | |   (8)  op(e3, e3) = e2
% 194.97/32.13  | | 
% 194.97/32.13  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #833.
% 194.97/32.13  | | 
% 194.97/32.13  | Case 2:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 194.97/32.13  | | 
% 194.97/32.13  | | ALPHA: (9) implies:
% 194.97/32.13  | |   (10)  op(e3, e2) = e2
% 194.97/32.13  | | 
% 194.97/32.13  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1927.
% 194.97/32.13  | | 
% 194.97/32.13  | End of split
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #380 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)   ~ (all_24_1 = e0) & op(e2, e1) = all_24_1 & $i(all_24_1)
% 194.97/32.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (3)  op(e2, e1) = e0
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | ALPHA: (1) implies:
% 194.97/32.13  |   (4)   ~ (all_24_1 = e0)
% 194.97/32.13  |   (5)  op(e2, e1) = all_24_1
% 194.97/32.13  | 
% 194.97/32.13  | GROUND_INST: instantiating (2) with e0, all_24_1, e1, e2, simplifying with
% 194.97/32.13  |              (3), (5) gives:
% 194.97/32.13  |   (6)  all_24_1 = e0
% 194.97/32.13  | 
% 194.97/32.13  | REDUCE: (4), (6) imply:
% 194.97/32.13  |   (7)  $false
% 194.97/32.13  | 
% 194.97/32.13  | CLOSE: (7) is inconsistent.
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #381 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)  all_54_13 = all_24_0
% 194.97/32.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (3)  op(e0, e3) = all_52_3
% 194.97/32.13    (4)  op(e0, e1) = all_52_11
% 194.97/32.13    (5)   ~ (all_24_0 = e1)
% 194.97/32.13    (6)   ~ (all_24_0 = e0)
% 194.97/32.13    (7)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 194.97/32.13         (all_56_14 = e0 & op(e0, e1) = e0)
% 194.97/32.13    (8)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/32.13    (9)   ~ (all_52_11 = e0)
% 194.97/32.13    (10)   ~ (all_52_3 = e0)
% 194.97/32.13    (11)   ~ (all_24_0 = e3)
% 194.97/32.13    (12)  op(e0, e2) = all_24_0
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | BETA: splitting (7) gives:
% 194.97/32.13  | 
% 194.97/32.13  | Case 1:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (13)  all_56_12 = e0 & op(e0, e3) = e0
% 194.97/32.13  | | 
% 194.97/32.13  | | ALPHA: (13) implies:
% 194.97/32.13  | |   (14)  op(e0, e3) = e0
% 194.97/32.13  | | 
% 194.97/32.13  | | REF_CLOSE: (2), (3), (10), (14) are inconsistent by sub-proof #1935.
% 194.97/32.13  | | 
% 194.97/32.13  | Case 2:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (15)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 194.97/32.13  | |           e0)
% 194.97/32.13  | | 
% 194.97/32.13  | | BETA: splitting (15) gives:
% 194.97/32.13  | | 
% 194.97/32.13  | | Case 1:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (16)  all_56_13 = e0 & op(e0, e2) = e0
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (16) implies:
% 194.97/32.13  | | |   (17)  op(e0, e2) = e0
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (1), (2), (5), (6), (8), (11), (12), (17) are inconsistent by
% 194.97/32.13  | | |            sub-proof #382.
% 194.97/32.13  | | | 
% 194.97/32.13  | | Case 2:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (18)  all_56_14 = e0 & op(e0, e1) = e0
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (18) implies:
% 194.97/32.13  | | |   (19)  op(e0, e1) = e0
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (2), (4), (9), (19) are inconsistent by sub-proof #1931.
% 194.97/32.13  | | | 
% 194.97/32.13  | | End of split
% 194.97/32.13  | | 
% 194.97/32.13  | End of split
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #382 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)  all_54_13 = all_24_0
% 194.97/32.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (3)  op(e0, e2) = e0
% 194.97/32.13    (4)   ~ (all_24_0 = e1)
% 194.97/32.13    (5)   ~ (all_24_0 = e0)
% 194.97/32.13    (6)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/32.13    (7)   ~ (all_24_0 = e3)
% 194.97/32.13    (8)  op(e0, e2) = all_24_0
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | BETA: splitting (6) gives:
% 194.97/32.13  | 
% 194.97/32.13  | Case 1:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (9)  all_54_13 = e3
% 194.97/32.13  | | 
% 194.97/32.13  | | REF_CLOSE: (1), (7), (9) are inconsistent by sub-proof #388.
% 194.97/32.13  | | 
% 194.97/32.13  | Case 2:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (10)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/32.13  | | 
% 194.97/32.13  | | BETA: splitting (10) gives:
% 194.97/32.13  | | 
% 194.97/32.13  | | Case 1:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (11)  all_54_13 = e2
% 194.97/32.13  | | | 
% 194.97/32.13  | | | COMBINE_EQS: (1), (11) imply:
% 194.97/32.13  | | |   (12)  all_24_0 = e2
% 194.97/32.13  | | | 
% 194.97/32.13  | | | SIMP: (12) implies:
% 194.97/32.13  | | |   (13)  all_24_0 = e2
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REDUCE: (5), (13) imply:
% 194.97/32.13  | | |   (14)   ~ (e2 = e0)
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REDUCE: (8), (13) imply:
% 194.97/32.13  | | |   (15)  op(e0, e2) = e2
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (2), (3), (14), (15) are inconsistent by sub-proof #423.
% 194.97/32.13  | | | 
% 194.97/32.13  | | Case 2:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (16)  all_54_13 = e1 | all_54_13 = e0
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (1), (4), (5), (16) are inconsistent by sub-proof #383.
% 194.97/32.13  | | | 
% 194.97/32.13  | | End of split
% 194.97/32.13  | | 
% 194.97/32.13  | End of split
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #383 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)  all_54_13 = e1 | all_54_13 = e0
% 194.97/32.13    (2)  all_54_13 = all_24_0
% 194.97/32.13    (3)   ~ (all_24_0 = e1)
% 194.97/32.13    (4)   ~ (all_24_0 = e0)
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | BETA: splitting (1) gives:
% 194.97/32.13  | 
% 194.97/32.13  | Case 1:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (5)  all_54_13 = e1
% 194.97/32.13  | | 
% 194.97/32.13  | | COMBINE_EQS: (2), (5) imply:
% 194.97/32.13  | |   (6)  all_24_0 = e1
% 194.97/32.13  | | 
% 194.97/32.13  | | SIMP: (6) implies:
% 194.97/32.13  | |   (7)  all_24_0 = e1
% 194.97/32.13  | | 
% 194.97/32.13  | | REDUCE: (3), (7) imply:
% 194.97/32.13  | |   (8)  $false
% 194.97/32.13  | | 
% 194.97/32.13  | | CLOSE: (8) is inconsistent.
% 194.97/32.13  | | 
% 194.97/32.13  | Case 2:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (9)  all_54_13 = e0
% 194.97/32.13  | | 
% 194.97/32.13  | | COMBINE_EQS: (2), (9) imply:
% 194.97/32.13  | |   (10)  all_24_0 = e0
% 194.97/32.13  | | 
% 194.97/32.13  | | SIMP: (10) implies:
% 194.97/32.13  | |   (11)  all_24_0 = e0
% 194.97/32.13  | | 
% 194.97/32.13  | | REDUCE: (4), (11) imply:
% 194.97/32.13  | |   (12)  $false
% 194.97/32.13  | | 
% 194.97/32.13  | | CLOSE: (12) is inconsistent.
% 194.97/32.13  | | 
% 194.97/32.13  | End of split
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #384 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)  op(e3, e3) = e0
% 194.97/32.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (3)  op(e2, e2) = e1
% 194.97/32.13    (4)  op(e0, e3) = all_52_3
% 194.97/32.13    (5)  op(e0, e1) = all_52_11
% 194.97/32.13    (6)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.97/32.13             &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.97/32.13             op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 194.97/32.13             all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 194.97/32.13               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 194.97/32.13           | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 194.97/32.13               = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.13             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1)
% 194.97/32.13             &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.13             op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 & 
% 194.97/32.13             ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.13               e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.97/32.13             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 194.97/32.13               e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7)))
% 194.97/32.13    (7)   ~ (e1 = e0)
% 194.97/32.13    (8)  op(e0, e2) = e2
% 194.97/32.13    (9)   ~ (all_52_11 = e0)
% 194.97/32.13    (10)   ~ (all_52_3 = e0)
% 194.97/32.13    (11)   ~ (e3 = e1)
% 194.97/32.13    (12)   ~ (e2 = e0)
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | ALPHA: (6) implies:
% 194.97/32.13  |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.97/32.13  |             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.13  |           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 194.97/32.13  |           &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.97/32.13  |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 & 
% 194.97/32.13  |           ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.97/32.13  |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0
% 194.97/32.13  |           & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 194.97/32.13  |             e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4))
% 194.97/32.13  |         | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.97/32.13  |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.13  |           & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.97/32.13  |             e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.13  |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.13  | 
% 194.97/32.13  | BETA: splitting (13) gives:
% 194.97/32.13  | 
% 194.97/32.13  | Case 1:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (14)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 194.97/32.13  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 194.97/32.13  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.97/32.13  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.97/32.13  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 194.97/32.13  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.97/32.13  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.13  | |           $i(all_57_3))
% 194.97/32.13  | | 
% 194.97/32.13  | | BETA: splitting (14) gives:
% 194.97/32.13  | | 
% 194.97/32.13  | | Case 1:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (15)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 194.97/32.13  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 194.97/32.13  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (15) implies:
% 194.97/32.13  | | |   (16)  op(e2, e2) = e3
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (2), (3), (11), (16) are inconsistent by sub-proof #1679.
% 194.97/32.13  | | | 
% 194.97/32.13  | | Case 2:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (17)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 194.97/32.13  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.97/32.13  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 194.97/32.13  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 194.97/32.13  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (2), (4), (8), (10), (12), (17) are inconsistent by sub-proof
% 194.97/32.13  | | |            #386.
% 194.97/32.13  | | | 
% 194.97/32.13  | | End of split
% 194.97/32.13  | | 
% 194.97/32.13  | Case 2:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (18)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/32.13  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.97/32.13  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/32.13  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.13  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.97/32.13  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/32.13  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.13  | |           $i(all_57_7))
% 194.97/32.13  | | 
% 194.97/32.13  | | BETA: splitting (18) gives:
% 194.97/32.13  | | 
% 194.97/32.13  | | Case 1:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (19)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.97/32.13  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.13  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (19) implies:
% 194.97/32.13  | | |   (20)  op(e0, e2) = e0
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (2), (8), (12), (20) are inconsistent by sub-proof #423.
% 194.97/32.13  | | | 
% 194.97/32.13  | | Case 2:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (21)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.97/32.13  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/32.13  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.97/32.13  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.97/32.13  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (1), (2), (5), (7), (9), (21) are inconsistent by sub-proof
% 194.97/32.13  | | |            #385.
% 194.97/32.13  | | | 
% 194.97/32.13  | | End of split
% 194.97/32.13  | | 
% 194.97/32.13  | End of split
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #385 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)  op(e3, e3) = e0
% 194.97/32.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.97/32.13             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.97/32.13           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 194.97/32.13           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.97/32.13             e1) = e0 & $i(all_57_7))
% 194.97/32.13    (4)  op(e0, e1) = all_52_11
% 194.97/32.13    (5)   ~ (e1 = e0)
% 194.97/32.13    (6)   ~ (all_52_11 = e0)
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | BETA: splitting (3) gives:
% 194.97/32.13  | 
% 194.97/32.13  | Case 1:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.97/32.13  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.97/32.13  | |        $i(all_57_6)
% 194.97/32.13  | | 
% 194.97/32.13  | | ALPHA: (7) implies:
% 194.97/32.13  | |   (8)  op(e3, e3) = e1
% 194.97/32.13  | | 
% 194.97/32.13  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1937.
% 194.97/32.13  | | 
% 194.97/32.13  | Case 2:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.13  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.13  | |        $i(all_57_7)
% 194.97/32.13  | | 
% 194.97/32.13  | | ALPHA: (9) implies:
% 194.97/32.13  | |   (10)  op(e0, e1) = e0
% 194.97/32.13  | | 
% 194.97/32.13  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1931.
% 194.97/32.13  | | 
% 194.97/32.13  | End of split
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #386 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (2)  op(e0, e3) = all_52_3
% 194.97/32.13    (3)  op(e0, e2) = e2
% 194.97/32.13    (4)   ~ (all_52_3 = e0)
% 194.97/32.13    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.13             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.13           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 194.97/32.13           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 194.97/32.13             e2) = e0 & $i(all_57_3))
% 194.97/32.13    (6)   ~ (e2 = e0)
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | BETA: splitting (5) gives:
% 194.97/32.13  | 
% 194.97/32.13  | Case 1:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.13  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.13  | |        $i(all_57_1)
% 194.97/32.13  | | 
% 194.97/32.13  | | ALPHA: (7) implies:
% 194.97/32.13  | |   (8)  op(e0, e3) = e0
% 194.97/32.13  | | 
% 194.97/32.13  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1935.
% 194.97/32.13  | | 
% 194.97/32.13  | Case 2:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.97/32.13  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.13  | |        $i(all_57_3)
% 194.97/32.13  | | 
% 194.97/32.13  | | ALPHA: (9) implies:
% 194.97/32.13  | |   (10)  op(e0, e2) = e0
% 194.97/32.13  | | 
% 194.97/32.13  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #423.
% 194.97/32.13  | | 
% 194.97/32.13  | End of split
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #387 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)  op(e1, e3) = all_52_2
% 194.97/32.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (3)  all_56_7 = e0
% 194.97/32.13    (4)  all_56_11 = e2
% 194.97/32.13    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.97/32.13         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.97/32.13    (6)   ~ (e1 = e0)
% 194.97/32.13    (7)   ~ (e2 = e1)
% 194.97/32.13    (8)   ~ (all_52_2 = e1)
% 194.97/32.13    (9)   ~ (e3 = e1)
% 194.97/32.13    (10)  op(e1, e1) = e3
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | BETA: splitting (5) gives:
% 194.97/32.13  | 
% 194.97/32.13  | Case 1:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (11)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 194.97/32.13  | |           e1)
% 194.97/32.13  | | 
% 194.97/32.13  | | BETA: splitting (11) gives:
% 194.97/32.13  | | 
% 194.97/32.13  | | Case 1:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (12)  all_56_6 = e1 & op(e1, e3) = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (12) implies:
% 194.97/32.13  | | |   (13)  op(e1, e3) = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (1), (2), (8), (13) are inconsistent by sub-proof #1974.
% 194.97/32.13  | | | 
% 194.97/32.13  | | Case 2:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (14)  all_56_7 = e1 & op(e1, e2) = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (14) implies:
% 194.97/32.13  | | |   (15)  all_56_7 = e1
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (3), (6), (15) are inconsistent by sub-proof #1522.
% 194.97/32.13  | | | 
% 194.97/32.13  | | End of split
% 194.97/32.13  | | 
% 194.97/32.13  | Case 2:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (16)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 194.97/32.13  | |           e1)
% 194.97/32.13  | | 
% 194.97/32.13  | | REF_CLOSE: (2), (4), (7), (9), (10), (16) are inconsistent by sub-proof
% 194.97/32.13  | |            #1175.
% 194.97/32.13  | | 
% 194.97/32.13  | End of split
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #388 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)  all_54_13 = all_24_0
% 194.97/32.13    (2)  all_54_13 = e3
% 194.97/32.13    (3)   ~ (all_24_0 = e3)
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | COMBINE_EQS: (1), (2) imply:
% 194.97/32.13  |   (4)  all_24_0 = e3
% 194.97/32.13  | 
% 194.97/32.13  | SIMP: (4) implies:
% 194.97/32.13  |   (5)  all_24_0 = e3
% 194.97/32.13  | 
% 194.97/32.13  | REDUCE: (3), (5) imply:
% 194.97/32.13  |   (6)  $false
% 194.97/32.13  | 
% 194.97/32.13  | CLOSE: (6) is inconsistent.
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #389 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)  all_56_1 = e0 & op(e3, e2) = e0
% 194.97/32.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (3)  op(e3, e2) = all_52_4
% 194.97/32.13    (4)   ~ (all_52_4 = e0)
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | ALPHA: (1) implies:
% 194.97/32.13  |   (5)  op(e3, e2) = e0
% 194.97/32.13  | 
% 194.97/32.13  | GROUND_INST: instantiating (2) with all_52_4, e0, e2, e3, simplifying with
% 194.97/32.13  |              (3), (5) gives:
% 194.97/32.13  |   (6)  all_52_4 = e0
% 194.97/32.13  | 
% 194.97/32.13  | REDUCE: (4), (6) imply:
% 194.97/32.13  |   (7)  $false
% 194.97/32.13  | 
% 194.97/32.13  | CLOSE: (7) is inconsistent.
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #390 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)  op(e3, e3) = e0
% 194.97/32.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (3)  op(e2, e2) = all_4_2
% 194.97/32.13    (4)  op(e0, e3) = all_52_3
% 194.97/32.13    (5)   ~ (all_4_2 = e1)
% 194.97/32.13    (6)   ~ (all_4_2 = e3)
% 194.97/32.13    (7)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 194.97/32.13             &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 194.97/32.13             op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 194.97/32.13             all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 194.97/32.13               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 194.97/32.13           | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 194.97/32.13               = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.13             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1)
% 194.97/32.13             &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.13             op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 & 
% 194.97/32.13             ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.13               e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 194.97/32.13             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 194.97/32.13               e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7)))
% 194.97/32.13    (8)   ~ (e1 = e0)
% 194.97/32.13    (9)   ~ (all_52_3 = e0)
% 194.97/32.13    (10)  op(e0, e0) = e2
% 194.97/32.13  
% 194.97/32.13  Begin of proof
% 194.97/32.13  | 
% 194.97/32.13  | ALPHA: (7) implies:
% 194.97/32.13  |   (11)  op(e0, e0) = all_57_15
% 194.97/32.13  |   (12)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.97/32.13  |             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.13  |           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 194.97/32.13  |           &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 194.97/32.13  |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 & 
% 194.97/32.13  |           ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.97/32.13  |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0
% 194.97/32.13  |           & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 194.97/32.13  |             e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4))
% 194.97/32.13  |         | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.97/32.13  |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 194.97/32.13  |           & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 194.97/32.13  |             e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.13  |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.13  | 
% 194.97/32.13  | BETA: splitting (12) gives:
% 194.97/32.13  | 
% 194.97/32.13  | Case 1:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 194.97/32.13  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 194.97/32.13  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.97/32.13  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.97/32.13  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 194.97/32.13  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.97/32.13  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.13  | |           $i(all_57_3))
% 194.97/32.13  | | 
% 194.97/32.13  | | REF_CLOSE: (2), (3), (4), (6), (9), (10), (11), (13) are inconsistent by
% 194.97/32.13  | |            sub-proof #391.
% 194.97/32.13  | | 
% 194.97/32.13  | Case 2:
% 194.97/32.13  | | 
% 194.97/32.13  | |   (14)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/32.13  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.97/32.13  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/32.13  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.13  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.97/32.13  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/32.13  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.13  | |           $i(all_57_7))
% 194.97/32.13  | | 
% 194.97/32.13  | | BETA: splitting (14) gives:
% 194.97/32.13  | | 
% 194.97/32.13  | | Case 1:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (15)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.97/32.13  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.13  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 194.97/32.13  | | | 
% 194.97/32.13  | | | ALPHA: (15) implies:
% 194.97/32.13  | | |   (16)   ~ (all_57_15 = e2)
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (2), (10), (11), (16) are inconsistent by sub-proof #748.
% 194.97/32.13  | | | 
% 194.97/32.13  | | Case 2:
% 194.97/32.13  | | | 
% 194.97/32.13  | | |   (17)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.97/32.13  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/32.13  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.97/32.13  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.97/32.13  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.13  | | | 
% 194.97/32.13  | | | REF_CLOSE: (1), (2), (3), (5), (8), (17) are inconsistent by sub-proof
% 194.97/32.13  | | |            #402.
% 194.97/32.13  | | | 
% 194.97/32.13  | | End of split
% 194.97/32.13  | | 
% 194.97/32.13  | End of split
% 194.97/32.13  | 
% 194.97/32.13  End of proof
% 194.97/32.13  
% 194.97/32.13  Sub-proof #391 shows that the following formulas are inconsistent:
% 194.97/32.13  ----------------------------------------------------------------
% 194.97/32.13    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.13    (2)  op(e2, e2) = all_4_2
% 194.97/32.13    (3)  op(e0, e3) = all_52_3
% 194.97/32.13    (4)  op(e0, e0) = all_57_15
% 194.97/32.14    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.97/32.14             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.14           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.97/32.14           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.97/32.14             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.97/32.14           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.14           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.97/32.14    (6)   ~ (all_4_2 = e3)
% 194.97/32.14    (7)   ~ (all_52_3 = e0)
% 194.97/32.14    (8)  op(e0, e0) = e2
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | BETA: splitting (5) gives:
% 194.97/32.14  | 
% 194.97/32.14  | Case 1:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (9)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.97/32.14  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.14  | |        $i(all_57_0)
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (9) implies:
% 194.97/32.14  | |   (10)  op(e2, e2) = e3
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1975.
% 194.97/32.14  | | 
% 194.97/32.14  | Case 2:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (11)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 194.97/32.14  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 194.97/32.14  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.97/32.14  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.97/32.14  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (3), (4), (7), (8), (11) are inconsistent by sub-proof #392.
% 194.97/32.14  | | 
% 194.97/32.14  | End of split
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #392 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.14    (2)  op(e0, e3) = all_52_3
% 194.97/32.14    (3)  op(e0, e0) = all_57_15
% 194.97/32.14    (4)   ~ (all_52_3 = e0)
% 194.97/32.14    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.14             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.14           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 194.97/32.14           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 194.97/32.14             e2) = e0 & $i(all_57_3))
% 194.97/32.14    (6)  op(e0, e0) = e2
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | BETA: splitting (5) gives:
% 194.97/32.14  | 
% 194.97/32.14  | Case 1:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.14  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.14  | |        $i(all_57_1)
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (7) implies:
% 194.97/32.14  | |   (8)  op(e0, e3) = e0
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1935.
% 194.97/32.14  | | 
% 194.97/32.14  | Case 2:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.97/32.14  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.14  | |        $i(all_57_3)
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (9) implies:
% 194.97/32.14  | |   (10)   ~ (all_57_15 = e2)
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #748.
% 194.97/32.14  | | 
% 194.97/32.14  | End of split
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #393 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)  op(e3, e3) = e0
% 194.97/32.14    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.14    (3)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.97/32.14             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.14           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 194.97/32.14           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.14           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.97/32.14           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 194.97/32.14    (4)   ~ (e1 = e0)
% 194.97/32.14    (5)   ~ (e2 = e1)
% 194.97/32.14    (6)  op(e0, e0) = e2
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | BETA: splitting (3) gives:
% 194.97/32.14  | 
% 194.97/32.14  | Case 1:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.97/32.14  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.14  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (7) implies:
% 194.97/32.14  | |   (8)  op(e0, e0) = e1
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1780.
% 194.97/32.14  | | 
% 194.97/32.14  | Case 2:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 194.97/32.14  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.97/32.14  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (9) implies:
% 194.97/32.14  | |   (10)  op(e3, e3) = e1
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1937.
% 194.97/32.14  | | 
% 194.97/32.14  | End of split
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #394 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)   ~ (all_52_11 = e1)
% 194.97/32.14    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.14         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/32.14    (3)   ~ (e3 = e2)
% 194.97/32.14    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.14    (5)  op(e2, e2) = all_4_2
% 194.97/32.14    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.14         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.14    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/32.14         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/32.14    (8)   ~ (all_52_8 = e1)
% 194.97/32.14    (9)  op(e0, e1) = all_52_11
% 194.97/32.14    (10)  op(e1, e1) = e0
% 194.97/32.14    (11)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.14          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.97/32.14    (12)   ~ (all_4_2 = e3)
% 194.97/32.14    (13)   ~ (e1 = e0)
% 194.97/32.14    (14)  all_56_2 = e1
% 194.97/32.14    (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.97/32.14          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.97/32.14    (16)   ~ (e2 = e1)
% 194.97/32.14    (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.14          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/32.14    (18)  op(e3, e1) = all_52_8
% 194.97/32.14    (19)   ~ (e3 = e1)
% 194.97/32.14    (20)   ~ (e2 = e0)
% 194.97/32.14    (21)   ~ (e3 = e0)
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | BETA: splitting (7) gives:
% 194.97/32.14  | 
% 194.97/32.14  | Case 1:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (22)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 194.97/32.14  | |           e1)
% 194.97/32.14  | | 
% 194.97/32.14  | | BETA: splitting (22) gives:
% 194.97/32.14  | | 
% 194.97/32.14  | | Case 1:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (23)  all_56_4 = e1 & op(e3, e1) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | ALPHA: (23) implies:
% 194.97/32.14  | | |   (24)  op(e3, e1) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | REF_CLOSE: (4), (8), (18), (24) are inconsistent by sub-proof #1880.
% 194.97/32.14  | | | 
% 194.97/32.14  | | Case 2:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (25)  all_56_5 = e1 & op(e2, e1) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | ALPHA: (25) implies:
% 194.97/32.14  | | |   (26)  all_56_5 = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (10), (11), (12), (13), (14),
% 194.97/32.14  | | |            (15), (16), (17), (19), (20), (21), (26) are inconsistent by
% 194.97/32.14  | | |            sub-proof #1547.
% 194.97/32.14  | | | 
% 194.97/32.14  | | End of split
% 194.97/32.14  | | 
% 194.97/32.14  | Case 2:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (27)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 194.97/32.14  | |           e1)
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (4), (9), (10), (13), (27) are inconsistent by sub-proof
% 194.97/32.14  | |            #914.
% 194.97/32.14  | | 
% 194.97/32.14  | End of split
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #395 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)  op(e3, e3) = e0
% 194.97/32.14    (2)   ~ (all_52_13 = e2)
% 194.97/32.14    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.14    (4)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.14           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.14           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.14                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.14               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.14               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.14           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.14             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.14               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.14           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.14               = all_57_4 & $i(all_57_4))))
% 194.97/32.14    (5)  op(e2, e0) = all_52_13
% 194.97/32.14    (6)  op(e3, e2) = e3
% 194.97/32.14    (7)   ~ (e2 = e0)
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | BETA: splitting (4) gives:
% 194.97/32.14  | 
% 194.97/32.14  | Case 1:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (8)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.14  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.14  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.14  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 194.97/32.14  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.14  | |            all_57_13 & $i(all_57_13)))
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (8) implies:
% 194.97/32.14  | |   (9)  op(e2, e0) = e2
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1662.
% 194.97/32.14  | | 
% 194.97/32.14  | Case 2:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (10)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 194.97/32.14  | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.14  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.97/32.14  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 194.97/32.14  | |             e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 194.97/32.14  | |             all_57_4 & $i(all_57_4)))
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (10) implies:
% 194.97/32.14  | |   (11)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.14  | |             e2) = all_57_3 & $i(all_57_3))
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (3), (6), (7), (11) are inconsistent by sub-proof #396.
% 194.97/32.14  | | 
% 194.97/32.14  | End of split
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #396 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)  op(e3, e3) = e0
% 194.97/32.14    (2)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.14           all_57_3 & $i(all_57_3))
% 194.97/32.14    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.14    (4)  op(e3, e2) = e3
% 194.97/32.14    (5)   ~ (e2 = e0)
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | BETA: splitting (2) gives:
% 194.97/32.14  | 
% 194.97/32.14  | Case 1:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (6)  all_57_10 = e2 & op(e3, e3) = e2
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (6) implies:
% 194.97/32.14  | |   (7)  op(e3, e3) = e2
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #833.
% 194.97/32.14  | | 
% 194.97/32.14  | Case 2:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (8)   ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3)
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (8) implies:
% 194.97/32.14  | |   (9)   ~ (all_57_3 = e3)
% 194.97/32.14  | |   (10)  op(e3, e2) = all_57_3
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (3), (4), (9), (10) are inconsistent by sub-proof #1889.
% 194.97/32.14  | | 
% 194.97/32.14  | End of split
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #397 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.14    (2)  op(e0, e3) = all_52_3
% 194.97/32.14    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.14           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.14           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.14                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.14               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.14               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.14           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.14           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.14             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.14           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.14               = all_57_1 & $i(all_57_1))))
% 194.97/32.14    (4)   ~ (all_52_12 = e3)
% 194.97/32.14    (5)   ~ (all_52_3 = e0)
% 194.97/32.14    (6)  op(e3, e0) = all_52_12
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | BETA: splitting (3) gives:
% 194.97/32.14  | 
% 194.97/32.14  | Case 1:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.14  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.14  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.97/32.14  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 194.97/32.14  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.14  | |            all_57_13 & $i(all_57_13)))
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (7) implies:
% 194.97/32.14  | |   (8)  op(e3, e0) = e3
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1964.
% 194.97/32.14  | | 
% 194.97/32.14  | Case 2:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 194.97/32.14  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.14  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.97/32.14  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.97/32.14  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 194.97/32.14  | |            & $i(all_57_1)))
% 194.97/32.14  | | 
% 194.97/32.14  | | ALPHA: (9) implies:
% 194.97/32.14  | |   (10)  op(e0, e3) = e0
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1935.
% 194.97/32.14  | | 
% 194.97/32.14  | End of split
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #398 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.97/32.14         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.97/32.14    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.14         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.97/32.14    (3)   ~ (e3 = e2)
% 194.97/32.14    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.14    (5)  op(e2, e2) = all_4_2
% 194.97/32.14    (6)  all_56_7 = e0
% 194.97/32.14    (7)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.14         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/32.14    (8)   ~ (all_4_2 = e3)
% 194.97/32.14    (9)   ~ (e1 = e0)
% 194.97/32.14    (10)   ~ (e2 = e1)
% 194.97/32.14    (11)  op(e2, e2) = e0
% 194.97/32.14    (12)   ~ (e3 = e1)
% 194.97/32.14    (13)   ~ (e2 = e0)
% 194.97/32.14    (14)   ~ (e3 = e0)
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | BETA: splitting (1) gives:
% 194.97/32.14  | 
% 194.97/32.14  | Case 1:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (15)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 194.97/32.14  | |           e1)
% 194.97/32.14  | | 
% 194.97/32.14  | | BETA: splitting (15) gives:
% 194.97/32.14  | | 
% 194.97/32.14  | | Case 1:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (16)  all_56_1 = e1 & op(e3, e2) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | ALPHA: (16) implies:
% 194.97/32.14  | | |   (17)  all_56_1 = e1
% 194.97/32.14  | | |   (18)  op(e3, e2) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | BETA: splitting (7) gives:
% 194.97/32.14  | | | 
% 194.97/32.14  | | | Case 1:
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | |   (19)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 194.97/32.14  | | | |           = e3)
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | | REF_CLOSE: (4), (5), (8), (12), (18), (19) are inconsistent by sub-proof
% 194.97/32.14  | | | |            #738.
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | Case 2:
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | |   (20)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2)
% 194.97/32.14  | | | |           = e3)
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | | BETA: splitting (20) gives:
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | | Case 1:
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | |   (21)  all_56_7 = e3 & op(e1, e2) = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | REF_CLOSE: (6), (14), (21) are inconsistent by sub-proof #1094.
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | Case 2:
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | |   (22)  all_56_13 = e3 & op(e0, e2) = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | ALPHA: (22) implies:
% 194.97/32.14  | | | | |   (23)  all_56_13 = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | REF_CLOSE: (2), (3), (4), (6), (10), (11), (13), (17), (23) are
% 194.97/32.14  | | | | |            inconsistent by sub-proof #1284.
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | End of split
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | End of split
% 194.97/32.14  | | | 
% 194.97/32.14  | | Case 2:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (24)  all_56_3 = e1 & op(e2, e2) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | ALPHA: (24) implies:
% 194.97/32.14  | | |   (25)  op(e2, e2) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | REF_CLOSE: (4), (9), (11), (25) are inconsistent by sub-proof #1909.
% 194.97/32.14  | | | 
% 194.97/32.14  | | End of split
% 194.97/32.14  | | 
% 194.97/32.14  | Case 2:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (26)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 194.97/32.14  | |           e1)
% 194.97/32.14  | | 
% 194.97/32.14  | | BETA: splitting (26) gives:
% 194.97/32.14  | | 
% 194.97/32.14  | | Case 1:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (27)  all_56_7 = e1 & op(e1, e2) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | REF_CLOSE: (6), (9), (27) are inconsistent by sub-proof #399.
% 194.97/32.14  | | | 
% 194.97/32.14  | | Case 2:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (28)  all_56_13 = e1 & op(e0, e2) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | ALPHA: (28) implies:
% 194.97/32.14  | | |   (29)  all_56_13 = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 194.97/32.14  | | |            (14), (29) are inconsistent by sub-proof #1796.
% 194.97/32.14  | | | 
% 194.97/32.14  | | End of split
% 194.97/32.14  | | 
% 194.97/32.14  | End of split
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #399 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)  all_56_7 = e1 & op(e1, e2) = e1
% 194.97/32.14    (2)  all_56_7 = e0
% 194.97/32.14    (3)   ~ (e1 = e0)
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | ALPHA: (1) implies:
% 194.97/32.14  |   (4)  all_56_7 = e1
% 194.97/32.14  | 
% 194.97/32.14  | COMBINE_EQS: (2), (4) imply:
% 194.97/32.14  |   (5)  e1 = e0
% 194.97/32.14  | 
% 194.97/32.14  | REDUCE: (3), (5) imply:
% 194.97/32.14  |   (6)  $false
% 194.97/32.14  | 
% 194.97/32.14  | CLOSE: (6) is inconsistent.
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #400 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)  op(e3, e3) = e0
% 194.97/32.14    (2)  op(e2, e3) = e0
% 194.97/32.14    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.97/32.14         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.97/32.14    (4)   ~ (e3 = e2)
% 194.97/32.14    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.14    (6)  op(e1, e3) = e2
% 194.97/32.14    (7)  all_56_6 = e2
% 194.97/32.14    (8)   ~ (e1 = e0)
% 194.97/32.14    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.97/32.14         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.97/32.14    (10)   ~ (e2 = e1)
% 194.97/32.14    (11)  all_56_2 = e0
% 194.97/32.14    (12)   ~ (e3 = e1)
% 194.97/32.14    (13)   ~ (e3 = e0)
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | BETA: splitting (3) gives:
% 194.97/32.14  | 
% 194.97/32.14  | Case 1:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 194.97/32.14  | |           e1)
% 194.97/32.14  | | 
% 194.97/32.14  | | BETA: splitting (14) gives:
% 194.97/32.14  | | 
% 194.97/32.14  | | Case 1:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (15)  all_56_0 = e1 & op(e3, e3) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | ALPHA: (15) implies:
% 194.97/32.14  | | |   (16)  op(e3, e3) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | REF_CLOSE: (1), (5), (8), (16) are inconsistent by sub-proof #1937.
% 194.97/32.14  | | | 
% 194.97/32.14  | | Case 2:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (17)  all_56_2 = e1 & op(e2, e3) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | ALPHA: (17) implies:
% 194.97/32.14  | | |   (18)  all_56_2 = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | REF_CLOSE: (8), (11), (18) are inconsistent by sub-proof #1713.
% 194.97/32.14  | | | 
% 194.97/32.14  | | End of split
% 194.97/32.14  | | 
% 194.97/32.14  | Case 2:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (19)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 194.97/32.14  | |           e1)
% 194.97/32.14  | | 
% 194.97/32.14  | | BETA: splitting (19) gives:
% 194.97/32.14  | | 
% 194.97/32.14  | | Case 1:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (20)  all_56_6 = e1 & op(e1, e3) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | REF_CLOSE: (7), (10), (20) are inconsistent by sub-proof #1724.
% 194.97/32.14  | | | 
% 194.97/32.14  | | Case 2:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (21)  all_56_12 = e1 & op(e0, e3) = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | ALPHA: (21) implies:
% 194.97/32.14  | | |   (22)  all_56_12 = e1
% 194.97/32.14  | | | 
% 194.97/32.14  | | | BETA: splitting (9) gives:
% 194.97/32.14  | | | 
% 194.97/32.14  | | | Case 1:
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | |   (23)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3)
% 194.97/32.14  | | | |           = e3)
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | | BETA: splitting (23) gives:
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | | Case 1:
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | |   (24)  all_56_0 = e3 & op(e3, e3) = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | ALPHA: (24) implies:
% 194.97/32.14  | | | | |   (25)  op(e3, e3) = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | REF_CLOSE: (1), (5), (13), (25) are inconsistent by sub-proof #1961.
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | Case 2:
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | |   (26)  all_56_2 = e3 & op(e2, e3) = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | ALPHA: (26) implies:
% 194.97/32.14  | | | | |   (27)  op(e2, e3) = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | REF_CLOSE: (2), (5), (13), (27) are inconsistent by sub-proof #420.
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | End of split
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | Case 2:
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | |   (28)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3)
% 194.97/32.14  | | | |           = e3)
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | | BETA: splitting (28) gives:
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | | Case 1:
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | |   (29)  all_56_6 = e3 & op(e1, e3) = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | ALPHA: (29) implies:
% 194.97/32.14  | | | | |   (30)  op(e1, e3) = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | REF_CLOSE: (4), (5), (6), (30) are inconsistent by sub-proof #1371.
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | Case 2:
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | |   (31)  all_56_12 = e3 & op(e0, e3) = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | ALPHA: (31) implies:
% 194.97/32.14  | | | | |   (32)  all_56_12 = e3
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | | REF_CLOSE: (12), (22), (32) are inconsistent by sub-proof #1674.
% 194.97/32.14  | | | | | 
% 194.97/32.14  | | | | End of split
% 194.97/32.14  | | | | 
% 194.97/32.14  | | | End of split
% 194.97/32.14  | | | 
% 194.97/32.14  | | End of split
% 194.97/32.14  | | 
% 194.97/32.14  | End of split
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #401 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)  op(e3, e3) = e0
% 194.97/32.14    (2)  op(e1, e1) = e1
% 194.97/32.14    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.14    (4)  op(e2, e2) = all_4_2
% 194.97/32.14    (5)  op(e0, e3) = all_52_3
% 194.97/32.14    (6)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.97/32.14             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.14           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.97/32.14           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.97/32.14             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.97/32.14           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.14           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.14           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.97/32.14           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.97/32.14           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.97/32.14           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.97/32.14         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.14             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.14           $i(all_57_7))
% 194.97/32.14    (7)   ~ (all_4_2 = e1)
% 194.97/32.14    (8)   ~ (all_4_2 = e3)
% 194.97/32.14    (9)   ~ (e1 = e0)
% 194.97/32.14    (10)   ~ (e2 = e1)
% 194.97/32.14    (11)   ~ (all_52_3 = e0)
% 194.97/32.14    (12)   ~ (e2 = e0)
% 194.97/32.14  
% 194.97/32.14  Begin of proof
% 194.97/32.14  | 
% 194.97/32.14  | BETA: splitting (6) gives:
% 194.97/32.14  | 
% 194.97/32.14  | Case 1:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 194.97/32.14  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 194.97/32.14  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 194.97/32.14  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 194.97/32.14  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 194.97/32.14  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 194.97/32.14  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.14  | |           $i(all_57_3))
% 194.97/32.14  | | 
% 194.97/32.14  | | REF_CLOSE: (1), (3), (4), (5), (8), (11), (12), (13) are inconsistent by
% 194.97/32.14  | |            sub-proof #403.
% 194.97/32.14  | | 
% 194.97/32.14  | Case 2:
% 194.97/32.14  | | 
% 194.97/32.14  | |   (14)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/32.14  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 194.97/32.14  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 194.97/32.14  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 194.97/32.14  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 194.97/32.14  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 194.97/32.14  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.14  | |           $i(all_57_7))
% 194.97/32.14  | | 
% 194.97/32.14  | | BETA: splitting (14) gives:
% 194.97/32.14  | | 
% 194.97/32.14  | | Case 1:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (15)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 194.97/32.14  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 194.97/32.14  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 194.97/32.14  | | | 
% 194.97/32.14  | | | ALPHA: (15) implies:
% 194.97/32.14  | | |   (16)  op(e1, e1) = e2
% 194.97/32.14  | | | 
% 194.97/32.14  | | | REF_CLOSE: (2), (3), (10), (16) are inconsistent by sub-proof #1955.
% 194.97/32.14  | | | 
% 194.97/32.14  | | Case 2:
% 194.97/32.14  | | | 
% 194.97/32.14  | | |   (17)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.97/32.14  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/32.14  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 194.97/32.14  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 194.97/32.14  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.14  | | | 
% 194.97/32.14  | | | REF_CLOSE: (1), (3), (4), (7), (9), (17) are inconsistent by sub-proof
% 194.97/32.14  | | |            #402.
% 194.97/32.14  | | | 
% 194.97/32.14  | | End of split
% 194.97/32.14  | | 
% 194.97/32.14  | End of split
% 194.97/32.14  | 
% 194.97/32.14  End of proof
% 194.97/32.14  
% 194.97/32.14  Sub-proof #402 shows that the following formulas are inconsistent:
% 194.97/32.14  ----------------------------------------------------------------
% 194.97/32.14    (1)  op(e3, e3) = e0
% 194.97/32.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (3)  op(e2, e2) = all_4_2
% 194.97/32.15    (4)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.97/32.15             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.97/32.15           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 194.97/32.15           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 194.97/32.15             e1) = e0 & $i(all_57_7))
% 194.97/32.15    (5)   ~ (all_4_2 = e1)
% 194.97/32.15    (6)   ~ (e1 = e0)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (4) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 194.97/32.15  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 194.97/32.15  | |        $i(all_57_6)
% 194.97/32.15  | | 
% 194.97/32.15  | | ALPHA: (7) implies:
% 194.97/32.15  | |   (8)  op(e3, e3) = e1
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1937.
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.15  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.15  | |        $i(all_57_7)
% 194.97/32.15  | | 
% 194.97/32.15  | | ALPHA: (9) implies:
% 194.97/32.15  | |   (10)  op(e2, e2) = e1
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1969.
% 194.97/32.15  | | 
% 194.97/32.15  | End of split
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #403 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  op(e3, e3) = e0
% 194.97/32.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (3)  op(e2, e2) = all_4_2
% 194.97/32.15    (4)  op(e0, e3) = all_52_3
% 194.97/32.15    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.97/32.15             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.15           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.97/32.15           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.97/32.15             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.97/32.15           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.15           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.97/32.15    (6)   ~ (all_4_2 = e3)
% 194.97/32.15    (7)   ~ (all_52_3 = e0)
% 194.97/32.15    (8)   ~ (e2 = e0)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (5) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (9)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.97/32.15  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.15  | |        $i(all_57_0)
% 194.97/32.15  | | 
% 194.97/32.15  | | ALPHA: (9) implies:
% 194.97/32.15  | |   (10)  op(e2, e2) = e3
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1975.
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (11)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 194.97/32.15  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 194.97/32.15  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.97/32.15  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 194.97/32.15  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (1), (2), (4), (7), (8), (11) are inconsistent by sub-proof #404.
% 194.97/32.15  | | 
% 194.97/32.15  | End of split
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #404 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  op(e3, e3) = e0
% 194.97/32.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (3)  op(e0, e3) = all_52_3
% 194.97/32.15    (4)   ~ (all_52_3 = e0)
% 194.97/32.15    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.15             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.15           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 194.97/32.15           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 194.97/32.15             e2) = e0 & $i(all_57_3))
% 194.97/32.15    (6)   ~ (e2 = e0)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (5) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.15  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.15  | |        $i(all_57_1)
% 194.97/32.15  | | 
% 194.97/32.15  | | ALPHA: (7) implies:
% 194.97/32.15  | |   (8)  op(e0, e3) = e0
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1935.
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.97/32.15  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.15  | |        $i(all_57_3)
% 194.97/32.15  | | 
% 194.97/32.15  | | ALPHA: (9) implies:
% 194.97/32.15  | |   (10)  op(e3, e3) = e2
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #833.
% 194.97/32.15  | | 
% 194.97/32.15  | End of split
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #405 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 194.97/32.15    (2)  op(e1, e1) = e1
% 194.97/32.15    (3)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.97/32.15         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.97/32.15    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (5)  op(e2, e0) = e2
% 194.97/32.15    (6)  op(e2, e0) = all_52_13
% 194.97/32.15    (7)  op(e0, e1) = all_52_11
% 194.97/32.15    (8)   ~ (all_4_2 = e1)
% 194.97/32.15    (9)   ~ (all_4_2 = e3)
% 194.97/32.15    (10)   ~ (e1 = e0)
% 194.97/32.15    (11)  all_54_5 = all_4_2
% 194.97/32.15    (12)   ~ (all_52_11 = e0)
% 194.97/32.15    (13)   ~ (all_52_13 = all_4_2)
% 194.97/32.15    (14)   ~ (all_52_9 = all_4_2)
% 194.97/32.15    (15)  op(e2, e1) = all_52_9
% 194.97/32.15    (16)  op(e3, e1) = all_52_8
% 194.97/32.15    (17)   ~ (all_52_8 = e0)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (3) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 194.97/32.15  | |           e0)
% 194.97/32.15  | | 
% 194.97/32.15  | | BETA: splitting (18) gives:
% 194.97/32.15  | | 
% 194.97/32.15  | | Case 1:
% 194.97/32.15  | | | 
% 194.97/32.15  | | |   (19)  all_56_4 = e0 & op(e3, e1) = e0
% 194.97/32.15  | | | 
% 194.97/32.15  | | | REF_CLOSE: (4), (16), (17), (19) are inconsistent by sub-proof #406.
% 194.97/32.15  | | | 
% 194.97/32.15  | | Case 2:
% 194.97/32.15  | | | 
% 194.97/32.15  | | |   (20)  all_56_5 = e0 & op(e2, e1) = e0
% 194.97/32.15  | | | 
% 194.97/32.15  | | | ALPHA: (20) implies:
% 194.97/32.15  | | |   (21)  op(e2, e1) = e0
% 194.97/32.15  | | | 
% 194.97/32.15  | | | GROUND_INST: instantiating (4) with all_52_13, e2, e0, e2, simplifying
% 194.97/32.15  | | |              with (5), (6) gives:
% 194.97/32.15  | | |   (22)  all_52_13 = e2
% 194.97/32.15  | | | 
% 194.97/32.15  | | | GROUND_INST: instantiating (4) with all_52_9, e0, e1, e2, simplifying with
% 194.97/32.15  | | |              (15), (21) gives:
% 194.97/32.15  | | |   (23)  all_52_9 = e0
% 194.97/32.15  | | | 
% 194.97/32.15  | | | REDUCE: (14), (23) imply:
% 194.97/32.15  | | |   (24)   ~ (all_4_2 = e0)
% 194.97/32.15  | | | 
% 194.97/32.15  | | | REF_CLOSE: (1), (8), (9), (11), (13), (22), (24) are inconsistent by
% 194.97/32.15  | | |            sub-proof #1640.
% 194.97/32.15  | | | 
% 194.97/32.15  | | End of split
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (25)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 194.97/32.15  | |           e0)
% 194.97/32.15  | | 
% 194.97/32.15  | | BETA: splitting (25) gives:
% 194.97/32.15  | | 
% 194.97/32.15  | | Case 1:
% 194.97/32.15  | | | 
% 194.97/32.15  | | |   (26)  all_56_8 = e0 & op(e1, e1) = e0
% 194.97/32.15  | | | 
% 194.97/32.15  | | | ALPHA: (26) implies:
% 194.97/32.15  | | |   (27)  op(e1, e1) = e0
% 194.97/32.15  | | | 
% 194.97/32.15  | | | REF_CLOSE: (2), (4), (10), (27) are inconsistent by sub-proof #1959.
% 194.97/32.15  | | | 
% 194.97/32.15  | | Case 2:
% 194.97/32.15  | | | 
% 194.97/32.15  | | |   (28)  all_56_14 = e0 & op(e0, e1) = e0
% 194.97/32.15  | | | 
% 194.97/32.15  | | | ALPHA: (28) implies:
% 194.97/32.15  | | |   (29)  op(e0, e1) = e0
% 194.97/32.15  | | | 
% 194.97/32.15  | | | REF_CLOSE: (4), (7), (12), (29) are inconsistent by sub-proof #1931.
% 194.97/32.15  | | | 
% 194.97/32.15  | | End of split
% 194.97/32.15  | | 
% 194.97/32.15  | End of split
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #406 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  all_56_4 = e0 & op(e3, e1) = e0
% 194.97/32.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (3)  op(e3, e1) = all_52_8
% 194.97/32.15    (4)   ~ (all_52_8 = e0)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | ALPHA: (1) implies:
% 194.97/32.15  |   (5)  op(e3, e1) = e0
% 194.97/32.15  | 
% 194.97/32.15  | GROUND_INST: instantiating (2) with all_52_8, e0, e1, e3, simplifying with
% 194.97/32.15  |              (3), (5) gives:
% 194.97/32.15  |   (6)  all_52_8 = e0
% 194.97/32.15  | 
% 194.97/32.15  | REDUCE: (4), (6) imply:
% 194.97/32.15  |   (7)  $false
% 194.97/32.15  | 
% 194.97/32.15  | CLOSE: (7) is inconsistent.
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #407 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 194.97/32.15             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.15           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 194.97/32.15           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.15           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 194.97/32.15           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.97/32.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (3)  op(e3, e3) = e0
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (1) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (4)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 194.97/32.15  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 194.97/32.15  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 194.97/32.15  | | 
% 194.97/32.15  | | ALPHA: (4) implies:
% 194.97/32.15  | |   (5)   ~ (all_57_10 = e0)
% 194.97/32.15  | |   (6)  op(e3, e3) = all_57_10
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (2), (3), (5), (6) are inconsistent by sub-proof #408.
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (7)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 194.97/32.15  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 194.97/32.15  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 194.97/32.15  | | 
% 194.97/32.15  | | ALPHA: (7) implies:
% 194.97/32.15  | |   (8)   ~ (all_57_10 = e0)
% 194.97/32.15  | |   (9)  op(e3, e3) = all_57_10
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (2), (3), (8), (9) are inconsistent by sub-proof #408.
% 194.97/32.15  | | 
% 194.97/32.15  | End of split
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #408 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (2)  op(e3, e3) = all_57_10
% 194.97/32.15    (3)  op(e3, e3) = e0
% 194.97/32.15    (4)   ~ (all_57_10 = e0)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | GROUND_INST: instantiating (1) with e0, all_57_10, e3, e3, simplifying with
% 194.97/32.15  |              (2), (3) gives:
% 194.97/32.15  |   (5)  all_57_10 = e0
% 194.97/32.15  | 
% 194.97/32.15  | REDUCE: (4), (5) imply:
% 194.97/32.15  |   (6)  $false
% 194.97/32.15  | 
% 194.97/32.15  | CLOSE: (6) is inconsistent.
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #409 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  op(e0, e0) = e1
% 194.97/32.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (3)   ~ (all_52_14 = e2)
% 194.97/32.15    (4)  op(e1, e0) = all_52_14
% 194.97/32.15    (5)   ~ (e2 = e1)
% 194.97/32.15    (6)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (6) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (7)  all_56_11 = e2 & op(e1, e0) = e2
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #760.
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 194.97/32.15  | | 
% 194.97/32.15  | | ALPHA: (8) implies:
% 194.97/32.15  | |   (9)  op(e0, e0) = e2
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1780.
% 194.97/32.15  | | 
% 194.97/32.15  | End of split
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #410 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  op(e0, e0) = e1
% 194.97/32.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (3)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 194.97/32.15    (4)  op(e0, e1) = all_52_11
% 194.97/32.15    (5)   ~ (e2 = e1)
% 194.97/32.15    (6)   ~ (all_52_11 = e2)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (3) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (7)  all_56_14 = e2 & op(e0, e1) = e2
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (2), (4), (6), (7) are inconsistent by sub-proof #808.
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 194.97/32.15  | | 
% 194.97/32.15  | | ALPHA: (8) implies:
% 194.97/32.15  | |   (9)  op(e0, e0) = e2
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1780.
% 194.97/32.15  | | 
% 194.97/32.15  | End of split
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #411 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)   ~ (all_52_11 = e1)
% 194.97/32.15    (2)   ~ (all_52_11 = e3)
% 194.97/32.15    (3)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/32.15    (4)  all_54_14 = all_52_11
% 194.97/32.15    (5)   ~ (all_52_11 = e0)
% 194.97/32.15    (6)   ~ (all_52_11 = e2)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (3) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (7)  all_54_14 = e3
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #1260.
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (8)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (1), (4), (5), (6), (8) are inconsistent by sub-proof #1736.
% 194.97/32.15  | | 
% 194.97/32.15  | End of split
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #412 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  all_56_12 = e1 & op(e0, e3) = e1
% 194.97/32.15    (2)  all_56_12 = e0
% 194.97/32.15    (3)   ~ (e1 = e0)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | ALPHA: (1) implies:
% 194.97/32.15  |   (4)  all_56_12 = e1
% 194.97/32.15  | 
% 194.97/32.15  | COMBINE_EQS: (2), (4) imply:
% 194.97/32.15  |   (5)  e1 = e0
% 194.97/32.15  | 
% 194.97/32.15  | REDUCE: (3), (5) imply:
% 194.97/32.15  |   (6)  $false
% 194.97/32.15  | 
% 194.97/32.15  | CLOSE: (6) is inconsistent.
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #413 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.97/32.15         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.97/32.15    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.15         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/32.15    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.97/32.15         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.97/32.15    (4)   ~ (e3 = e2)
% 194.97/32.15    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (6)  all_56_10 = e2
% 194.97/32.15    (7)  op(e2, e2) = e1
% 194.97/32.15    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.15         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.15    (9)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/32.15         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/32.15    (10)  op(e0, e3) = all_52_3
% 194.97/32.15    (11)  all_56_4 = e1
% 194.97/32.15    (12)  op(e0, e1) = all_52_11
% 194.97/32.15    (13)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.15          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.97/32.15    (14)  all_56_0 = e2
% 194.97/32.15    (15)   ~ (e1 = e0)
% 194.97/32.15    (16)  all_56_2 = e1
% 194.97/32.15    (17)  all_56_6 = e1
% 194.97/32.15    (18)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.97/32.15          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.97/32.15    (19)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.97/32.15          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.97/32.15    (20)   ~ (e2 = e1)
% 194.97/32.15    (21)   ~ (e3 = e1)
% 194.97/32.15    (22)   ~ (e2 = e0)
% 194.97/32.15    (23)   ~ (e3 = e0)
% 194.97/32.15    (24)   ~ (all_52_3 = all_52_11)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (18) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (25)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 194.97/32.15  | |           e3)
% 194.97/32.15  | | 
% 194.97/32.15  | | BETA: splitting (25) gives:
% 194.97/32.15  | | 
% 194.97/32.15  | | Case 1:
% 194.97/32.15  | | | 
% 194.97/32.15  | | |   (26)  all_56_0 = e3 & op(e3, e3) = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | ALPHA: (26) implies:
% 194.97/32.15  | | |   (27)  op(e3, e3) = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 194.97/32.15  | | |            (13), (15), (16), (17), (19), (20), (21), (22), (23), (24),
% 194.97/32.15  | | |            (27) are inconsistent by sub-proof #414.
% 194.97/32.15  | | | 
% 194.97/32.15  | | Case 2:
% 194.97/32.15  | | | 
% 194.97/32.15  | | |   (28)  all_56_2 = e3 & op(e2, e3) = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | ALPHA: (28) implies:
% 194.97/32.15  | | |   (29)  all_56_2 = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | REF_CLOSE: (16), (21), (29) are inconsistent by sub-proof #1859.
% 194.97/32.15  | | | 
% 194.97/32.15  | | End of split
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (30)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 194.97/32.15  | |           e3)
% 194.97/32.15  | | 
% 194.97/32.15  | | BETA: splitting (30) gives:
% 194.97/32.15  | | 
% 194.97/32.15  | | Case 1:
% 194.97/32.15  | | | 
% 194.97/32.15  | | |   (31)  all_56_6 = e3 & op(e1, e3) = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | ALPHA: (31) implies:
% 194.97/32.15  | | |   (32)  all_56_6 = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | REF_CLOSE: (17), (21), (32) are inconsistent by sub-proof #1620.
% 194.97/32.15  | | | 
% 194.97/32.15  | | Case 2:
% 194.97/32.15  | | | 
% 194.97/32.15  | | |   (33)  all_56_12 = e3 & op(e0, e3) = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | ALPHA: (33) implies:
% 194.97/32.15  | | |   (34)  all_56_12 = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | REF_CLOSE: (3), (14), (15), (16), (17), (22), (23), (34) are inconsistent
% 194.97/32.15  | | |            by sub-proof #689.
% 194.97/32.15  | | | 
% 194.97/32.15  | | End of split
% 194.97/32.15  | | 
% 194.97/32.15  | End of split
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #414 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.97/32.15         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.97/32.15    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.15         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/32.15    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.97/32.15         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.97/32.15    (4)   ~ (e3 = e2)
% 194.97/32.15    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (6)  all_56_10 = e2
% 194.97/32.15    (7)  op(e2, e2) = e1
% 194.97/32.15    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.15         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.15    (9)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/32.15         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/32.15    (10)  op(e0, e3) = all_52_3
% 194.97/32.15    (11)  all_56_4 = e1
% 194.97/32.15    (12)  op(e0, e1) = all_52_11
% 194.97/32.15    (13)  op(e3, e3) = e3
% 194.97/32.15    (14)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.15          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.97/32.15    (15)   ~ (e1 = e0)
% 194.97/32.15    (16)  all_56_2 = e1
% 194.97/32.15    (17)  all_56_6 = e1
% 194.97/32.15    (18)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.97/32.15          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.97/32.15    (19)   ~ (e2 = e1)
% 194.97/32.15    (20)   ~ (e3 = e1)
% 194.97/32.15    (21)   ~ (e2 = e0)
% 194.97/32.15    (22)   ~ (e3 = e0)
% 194.97/32.15    (23)   ~ (all_52_3 = all_52_11)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (14) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (24)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 194.97/32.15  | |           e3)
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (5), (7), (16), (20), (24) are inconsistent by sub-proof #1021.
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (25)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 194.97/32.15  | |           e3)
% 194.97/32.15  | | 
% 194.97/32.15  | | BETA: splitting (25) gives:
% 194.97/32.15  | | 
% 194.97/32.15  | | Case 1:
% 194.97/32.15  | | | 
% 194.97/32.15  | | |   (26)  all_56_5 = e3 & op(e2, e1) = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | ALPHA: (26) implies:
% 194.97/32.15  | | |   (27)  all_56_5 = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | BETA: splitting (1) gives:
% 194.97/32.15  | | | 
% 194.97/32.15  | | | Case 1:
% 194.97/32.15  | | | | 
% 194.97/32.15  | | | |   (28)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1)
% 194.97/32.15  | | | |           = e0)
% 194.97/32.15  | | | | 
% 194.97/32.15  | | | | BETA: splitting (28) gives:
% 194.97/32.15  | | | | 
% 194.97/32.15  | | | | Case 1:
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | |   (29)  all_56_4 = e0 & op(e3, e1) = e0
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | | REF_CLOSE: (11), (15), (29) are inconsistent by sub-proof #1500.
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | Case 2:
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | |   (30)  all_56_5 = e0 & op(e2, e1) = e0
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | | ALPHA: (30) implies:
% 194.97/32.15  | | | | |   (31)  all_56_5 = e0
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | | REF_CLOSE: (22), (27), (31) are inconsistent by sub-proof #1838.
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | End of split
% 194.97/32.15  | | | | 
% 194.97/32.15  | | | Case 2:
% 194.97/32.15  | | | | 
% 194.97/32.15  | | | |   (32)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1)
% 194.97/32.15  | | | |           = e0)
% 194.97/32.15  | | | | 
% 194.97/32.15  | | | | BETA: splitting (32) gives:
% 194.97/32.15  | | | | 
% 194.97/32.15  | | | | Case 1:
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | |   (33)  all_56_8 = e0 & op(e1, e1) = e0
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | | ALPHA: (33) implies:
% 194.97/32.15  | | | | |   (34)  op(e1, e1) = e0
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (15), (16), (18), (19),
% 194.97/32.15  | | | | |            (20), (21), (22), (34) are inconsistent by sub-proof #1018.
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | Case 2:
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | |   (35)  all_56_14 = e0 & op(e0, e1) = e0
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | | ALPHA: (35) implies:
% 194.97/32.15  | | | | |   (36)  op(e0, e1) = e0
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | | BETA: splitting (3) gives:
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | | Case 1:
% 194.97/32.15  | | | | | | 
% 194.97/32.15  | | | | | |   (37)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2,
% 194.97/32.15  | | | | | |             e3) = e0)
% 194.97/32.15  | | | | | | 
% 194.97/32.15  | | | | | | REF_CLOSE: (5), (13), (15), (16), (22), (37) are inconsistent by
% 194.97/32.15  | | | | | |            sub-proof #1529.
% 194.97/32.15  | | | | | | 
% 194.97/32.15  | | | | | Case 2:
% 194.97/32.15  | | | | | | 
% 194.97/32.15  | | | | | |   (38)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0,
% 194.97/32.15  | | | | | |             e3) = e0)
% 194.97/32.15  | | | | | | 
% 194.97/32.15  | | | | | | BETA: splitting (38) gives:
% 194.97/32.15  | | | | | | 
% 194.97/32.15  | | | | | | Case 1:
% 194.97/32.15  | | | | | | | 
% 194.97/32.15  | | | | | | |   (39)  all_56_6 = e0 & op(e1, e3) = e0
% 194.97/32.15  | | | | | | | 
% 194.97/32.15  | | | | | | | ALPHA: (39) implies:
% 194.97/32.15  | | | | | | |   (40)  all_56_6 = e0
% 194.97/32.15  | | | | | | | 
% 194.97/32.15  | | | | | | | REF_CLOSE: (15), (17), (40) are inconsistent by sub-proof #1565.
% 194.97/32.15  | | | | | | | 
% 194.97/32.15  | | | | | | Case 2:
% 194.97/32.15  | | | | | | | 
% 194.97/32.15  | | | | | | |   (41)  all_56_12 = e0 & op(e0, e3) = e0
% 194.97/32.15  | | | | | | | 
% 194.97/32.15  | | | | | | | ALPHA: (41) implies:
% 194.97/32.15  | | | | | | |   (42)  op(e0, e3) = e0
% 194.97/32.15  | | | | | | | 
% 194.97/32.15  | | | | | | | REF_CLOSE: (5), (10), (12), (23), (36), (42) are inconsistent by
% 194.97/32.15  | | | | | | |            sub-proof #1671.
% 194.97/32.15  | | | | | | | 
% 194.97/32.15  | | | | | | End of split
% 194.97/32.15  | | | | | | 
% 194.97/32.15  | | | | | End of split
% 194.97/32.15  | | | | | 
% 194.97/32.15  | | | | End of split
% 194.97/32.15  | | | | 
% 194.97/32.15  | | | End of split
% 194.97/32.15  | | | 
% 194.97/32.15  | | Case 2:
% 194.97/32.15  | | | 
% 194.97/32.15  | | |   (43)  all_56_10 = e3 & op(e2, e0) = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | ALPHA: (43) implies:
% 194.97/32.15  | | |   (44)  all_56_10 = e3
% 194.97/32.15  | | | 
% 194.97/32.15  | | | COMBINE_EQS: (6), (44) imply:
% 194.97/32.15  | | |   (45)  e3 = e2
% 194.97/32.15  | | | 
% 194.97/32.15  | | | REDUCE: (4), (45) imply:
% 194.97/32.15  | | |   (46)  $false
% 194.97/32.15  | | | 
% 194.97/32.15  | | | CLOSE: (46) is inconsistent.
% 194.97/32.15  | | | 
% 194.97/32.15  | | End of split
% 194.97/32.15  | | 
% 194.97/32.15  | End of split
% 194.97/32.15  | 
% 194.97/32.15  End of proof
% 194.97/32.15  
% 194.97/32.15  Sub-proof #415 shows that the following formulas are inconsistent:
% 194.97/32.15  ----------------------------------------------------------------
% 194.97/32.15    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.15             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.15           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.15               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.15             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.15         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.15             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.15           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.15               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.15             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.15    (3)  op(e2, e2) = e1
% 194.97/32.15    (4)  op(e2, e0) = e2
% 194.97/32.15    (5)  op(e1, e1) = e2
% 194.97/32.15    (6)   ~ (e1 = e0)
% 194.97/32.15    (7)   ~ (e2 = e1)
% 194.97/32.15  
% 194.97/32.15  Begin of proof
% 194.97/32.15  | 
% 194.97/32.15  | BETA: splitting (1) gives:
% 194.97/32.15  | 
% 194.97/32.15  | Case 1:
% 194.97/32.15  | | 
% 194.97/32.15  | |   (8)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.15  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.15  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.15  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.15  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.15  | |              e1) = all_57_8 & $i(all_57_8)))
% 194.97/32.15  | | 
% 194.97/32.15  | | ALPHA: (8) implies:
% 194.97/32.15  | |   (9)  op(e1, e1) = e1
% 194.97/32.15  | | 
% 194.97/32.15  | | REF_CLOSE: (2), (5), (7), (9) are inconsistent by sub-proof #1955.
% 194.97/32.15  | | 
% 194.97/32.15  | Case 2:
% 194.97/32.15  | | 
% 194.97/32.16  | |   (10)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 194.97/32.16  | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.16  | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.16  | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.16  | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.16  | |               e0) = all_57_13 & $i(all_57_13)))
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (10) implies:
% 194.97/32.16  | |   (11)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.97/32.16  | |             e0) = all_57_11 & $i(all_57_11))
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (2), (3), (4), (6), (11) are inconsistent by sub-proof #424.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #416 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (2)  op(e3, e2) = all_52_4
% 194.97/32.16    (3)  op(e2, e2) = e1
% 194.97/32.16    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 194.97/32.16    (5)   ~ (all_52_4 = all_52_8)
% 194.97/32.16    (6)  op(e3, e1) = e3
% 194.97/32.16    (7)  op(e3, e1) = all_52_8
% 194.97/32.16    (8)   ~ (e3 = e1)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (4) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (9)  all_56_1 = e3 & op(e3, e2) = e3
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (9) implies:
% 194.97/32.16  | |   (10)  op(e3, e2) = e3
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (5), (6), (7), (10) are inconsistent by sub-proof #497.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (11)  all_56_3 = e3 & op(e2, e2) = e3
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (11) implies:
% 194.97/32.16  | |   (12)  op(e2, e2) = e3
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (3), (8), (12) are inconsistent by sub-proof #1679.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #417 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ~ (all_52_13 = e3)
% 194.97/32.16    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.16         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/32.16    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (4)  op(e2, e2) = e1
% 194.97/32.16    (5)  op(e2, e0) = all_52_13
% 194.97/32.16    (6)   ~ (all_52_9 = e2)
% 194.97/32.16    (7)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.16         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 194.97/32.16    (8)  op(e3, e3) = e2
% 194.97/32.16    (9)   ~ (e1 = e0)
% 194.97/32.16    (10)   ~ (e2 = e1)
% 194.97/32.16    (11)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.16          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/32.16    (12)  op(e2, e1) = all_52_9
% 194.97/32.16    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 194.97/32.16    (14)   ~ (e3 = e1)
% 194.97/32.16    (15)   ~ (e2 = e0)
% 194.97/32.16    (16)   ~ (e3 = e0)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (13) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (17)  all_56_0 = e1 & op(e3, e3) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (17) implies:
% 194.97/32.16  | |   (18)  op(e3, e3) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (3), (8), (10), (18) are inconsistent by sub-proof #1934.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (19)  all_56_2 = e1 & op(e2, e3) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (19) implies:
% 194.97/32.16  | |   (20)  all_56_2 = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (14),
% 194.97/32.16  | |            (15), (16), (20) are inconsistent by sub-proof #471.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #418 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (2)   ~ (all_52_9 = e1)
% 194.97/32.16    (3)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 194.97/32.16    (4)  op(e3, e1) = e3
% 194.97/32.16    (5)  op(e2, e1) = all_52_9
% 194.97/32.16    (6)   ~ (e3 = e1)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (3) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (7) implies:
% 194.97/32.16  | |   (8)  op(e3, e1) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1624.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (9)  all_56_5 = e1 & op(e2, e1) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (9) implies:
% 194.97/32.16  | |   (10)  op(e2, e1) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1755.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #419 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (2)  op(e2, e2) = e1
% 194.97/32.16    (3)  op(e2, e0) = e2
% 194.97/32.16    (4)   ~ (e1 = e0)
% 194.97/32.16    (5)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.97/32.16           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.97/32.16           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.16                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.97/32.16               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.16               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 194.97/32.16           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 194.97/32.16             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.16               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.16           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.16               = all_57_7 & $i(all_57_7))))
% 194.97/32.16    (6)  op(e0, e0) = e3
% 194.97/32.16    (7)   ~ (e3 = e1)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (5) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (8)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.97/32.16  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.97/32.16  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.16  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 194.97/32.16  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.16  | |            all_57_11 & $i(all_57_11)))
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (8) implies:
% 194.97/32.16  | |   (9)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.97/32.16  | |            e0) = all_57_11 & $i(all_57_11))
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (3), (4), (9) are inconsistent by sub-proof #424.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (10)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.97/32.16  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.97/32.16  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 194.97/32.16  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 194.97/32.16  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.97/32.16  | |             all_57_7 & $i(all_57_7)))
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (10) implies:
% 194.97/32.16  | |   (11)  op(e0, e0) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (6), (7), (11) are inconsistent by sub-proof #1392.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #420 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (2)  op(e2, e3) = e3
% 194.97/32.16    (3)  op(e2, e3) = e0
% 194.97/32.16    (4)   ~ (e3 = e0)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | GROUND_INST: instantiating (1) with e0, e3, e3, e2, simplifying with (2), (3)
% 194.97/32.16  |              gives:
% 194.97/32.16  |   (5)  e3 = e0
% 194.97/32.16  | 
% 194.97/32.16  | REDUCE: (4), (5) imply:
% 194.97/32.16  |   (6)  $false
% 194.97/32.16  | 
% 194.97/32.16  | CLOSE: (6) is inconsistent.
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #421 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 194.97/32.16    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (3)  op(e2, e2) = e1
% 194.97/32.16    (4)   ~ (e1 = e0)
% 194.97/32.16    (5)  all_56_1 = e3
% 194.97/32.16    (6)   ~ (e3 = e0)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (1) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (7)  all_56_1 = e0 & op(e3, e2) = e0
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (5), (6), (7) are inconsistent by sub-proof #1878.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (8) implies:
% 194.97/32.16  | |   (9)  op(e2, e2) = e0
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1909.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #422 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (2)  op(e0, e0) = all_57_15
% 194.97/32.16    (3)  op(e0, e2) = e2
% 194.97/32.16    (4)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.16             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.16           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 194.97/32.16           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 194.97/32.16             e2) = e0 & $i(all_57_3))
% 194.97/32.16    (5)  op(e0, e0) = e3
% 194.97/32.16    (6)   ~ (e2 = e0)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (4) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.16  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.16  | |        $i(all_57_1)
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (7) implies:
% 194.97/32.16  | |   (8)   ~ (all_57_15 = e3)
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1276.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.97/32.16  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.16  | |        $i(all_57_3)
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (9) implies:
% 194.97/32.16  | |   (10)  op(e0, e2) = e0
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #423.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #423 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (2)  op(e0, e2) = e2
% 194.97/32.16    (3)  op(e0, e2) = e0
% 194.97/32.16    (4)   ~ (e2 = e0)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | GROUND_INST: instantiating (1) with e2, e0, e2, e0, simplifying with (2), (3)
% 194.97/32.16  |              gives:
% 194.97/32.16  |   (5)  e2 = e0
% 194.97/32.16  | 
% 194.97/32.16  | REDUCE: (4), (5) imply:
% 194.97/32.16  |   (6)  $false
% 194.97/32.16  | 
% 194.97/32.16  | CLOSE: (6) is inconsistent.
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #424 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (2)  op(e2, e2) = e1
% 194.97/32.16    (3)  op(e2, e0) = e2
% 194.97/32.16    (4)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.16           all_57_11 & $i(all_57_11))
% 194.97/32.16    (5)   ~ (e1 = e0)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (4) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (6)  all_57_12 = e0 & op(e2, e2) = e0
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (6) implies:
% 194.97/32.16  | |   (7)  op(e2, e2) = e0
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1909.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (8)   ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (8) implies:
% 194.97/32.16  | |   (9)   ~ (all_57_11 = e2)
% 194.97/32.16  | |   (10)  op(e2, e0) = all_57_11
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (3), (9), (10) are inconsistent by sub-proof #433.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #425 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)  op(e1, e2) = all_52_6
% 194.97/32.16    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.97/32.16           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.97/32.16           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.97/32.16                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.97/32.16               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.16               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.97/32.16           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 194.97/32.16           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.16               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.16           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.97/32.16               = all_57_5 & $i(all_57_5))))
% 194.97/32.16    (4)   ~ (all_52_6 = e2)
% 194.97/32.16    (5)   ~ (all_52_6 = e1)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (3) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (6)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.97/32.16  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.97/32.16  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.97/32.16  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 194.97/32.16  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.97/32.16  | |            & $i(all_57_8)))
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (6) implies:
% 194.97/32.16  | |   (7)  op(e1, e2) = e2
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #429.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (8)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.97/32.16  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.97/32.16  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.97/32.16  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.97/32.16  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 194.97/32.16  | |            & $i(all_57_5)))
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (8) implies:
% 194.97/32.16  | |   (9)  op(e1, e2) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1970.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #426 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)  op(e1, e2) = all_52_6
% 194.97/32.16    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (3)  op(e3, e2) = all_52_4
% 194.97/32.16    (4)   ~ (all_52_4 = all_52_8)
% 194.97/32.16    (5)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 194.97/32.16             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 194.97/32.16           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 194.97/32.16           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 194.97/32.16             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 194.97/32.16             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 194.97/32.16           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 194.97/32.16           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.97/32.16           $i(all_57_7) & $i(all_57_10))
% 194.97/32.16    (6)  op(e3, e2) = e3
% 194.97/32.16    (7)  op(e3, e1) = all_52_8
% 194.97/32.16    (8)   ~ (all_52_6 = e1)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (5) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (9)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 194.97/32.16  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 194.97/32.16  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (9) implies:
% 194.97/32.16  | |   (10)  op(e1, e2) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (8), (10) are inconsistent by sub-proof #1970.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (11)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.97/32.16  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.97/32.16  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.97/32.16  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.97/32.16  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.97/32.16  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.16  | | 
% 194.97/32.16  | | BETA: splitting (11) gives:
% 194.97/32.16  | | 
% 194.97/32.16  | | Case 1:
% 194.97/32.16  | | | 
% 194.97/32.16  | | |   (12)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.97/32.16  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.16  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.16  | | |         $i(all_57_14)
% 194.97/32.16  | | | 
% 194.97/32.16  | | | ALPHA: (12) implies:
% 194.97/32.16  | | |   (13)  op(e1, e2) = e1
% 194.97/32.16  | | | 
% 194.97/32.16  | | | REF_CLOSE: (1), (2), (8), (13) are inconsistent by sub-proof #1970.
% 194.97/32.16  | | | 
% 194.97/32.16  | | Case 2:
% 194.97/32.16  | | | 
% 194.97/32.16  | | |   (14)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.16  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/32.16  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/32.16  | | |         $i(all_57_10)
% 194.97/32.16  | | | 
% 194.97/32.16  | | | ALPHA: (14) implies:
% 194.97/32.16  | | |   (15)  op(e3, e1) = e3
% 194.97/32.16  | | | 
% 194.97/32.16  | | | REF_CLOSE: (2), (3), (4), (6), (7), (15) are inconsistent by sub-proof
% 194.97/32.16  | | |            #497.
% 194.97/32.16  | | | 
% 194.97/32.16  | | End of split
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #427 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)  op(e1, e2) = all_52_6
% 194.97/32.16    (2)   ~ (all_52_7 = e2)
% 194.97/32.16    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (4)   ~ (all_52_6 = e2)
% 194.97/32.16    (5)  op(e0, e2) = all_52_7
% 194.97/32.16    (6)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (6) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (7)  all_56_7 = e2 & op(e1, e2) = e2
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (7) implies:
% 194.97/32.16  | |   (8)  op(e1, e2) = e2
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #429.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (9)  all_56_13 = e2 & op(e0, e2) = e2
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (9) implies:
% 194.97/32.16  | |   (10)  op(e0, e2) = e2
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #428.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #428 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (2)  op(e0, e2) = all_52_7
% 194.97/32.16    (3)  op(e0, e2) = e2
% 194.97/32.16    (4)   ~ (all_52_7 = e2)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | GROUND_INST: instantiating (1) with all_52_7, e2, e2, e0, simplifying with
% 194.97/32.16  |              (2), (3) gives:
% 194.97/32.16  |   (5)  all_52_7 = e2
% 194.97/32.16  | 
% 194.97/32.16  | REDUCE: (4), (5) imply:
% 194.97/32.16  |   (6)  $false
% 194.97/32.16  | 
% 194.97/32.16  | CLOSE: (6) is inconsistent.
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #429 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (2)  op(e1, e2) = all_52_6
% 194.97/32.16    (3)  op(e1, e2) = e2
% 194.97/32.16    (4)   ~ (all_52_6 = e2)
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | GROUND_INST: instantiating (1) with all_52_6, e2, e2, e1, simplifying with
% 194.97/32.16  |              (2), (3) gives:
% 194.97/32.16  |   (5)  all_52_6 = e2
% 194.97/32.16  | 
% 194.97/32.16  | REDUCE: (4), (5) imply:
% 194.97/32.16  |   (6)  $false
% 194.97/32.16  | 
% 194.97/32.16  | CLOSE: (6) is inconsistent.
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #430 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (2)  op(e1, e1) = e2
% 194.97/32.16    (3)   ~ (e2 = e1)
% 194.97/32.16    (4)  op(e2, e2) = e2
% 194.97/32.16    (5)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 194.97/32.16             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.97/32.16           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.97/32.16           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 194.97/32.16           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 194.97/32.16           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (5) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (6)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 194.97/32.16  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.97/32.16  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (6) implies:
% 194.97/32.16  | |   (7)   ~ (all_57_14 = e2)
% 194.97/32.16  | |   (8)  op(e1, e1) = all_57_14
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (7), (8) are inconsistent by sub-proof #435.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 194.97/32.16  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.97/32.16  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (9) implies:
% 194.97/32.16  | |   (10)  op(e2, e2) = e1
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1783.
% 194.97/32.16  | | 
% 194.97/32.16  | End of split
% 194.97/32.16  | 
% 194.97/32.16  End of proof
% 194.97/32.16  
% 194.97/32.16  Sub-proof #431 shows that the following formulas are inconsistent:
% 194.97/32.16  ----------------------------------------------------------------
% 194.97/32.16    (1)   ~ (all_52_7 = e0)
% 194.97/32.16    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.16    (3)  op(e0, e3) = all_52_3
% 194.97/32.16    (4)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 194.97/32.16             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 194.97/32.16           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 194.97/32.16           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 194.97/32.16             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.97/32.16           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 194.97/32.16           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.16    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 194.97/32.16             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 194.97/32.16           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 194.97/32.16           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 194.97/32.16             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 194.97/32.16           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 194.97/32.16           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 194.97/32.16           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 194.97/32.16           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 194.97/32.16           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 194.97/32.16           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 194.97/32.16         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 194.97/32.16             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 194.97/32.16           $i(all_57_7))
% 194.97/32.16    (6)  op(e0, e1) = all_52_11
% 194.97/32.16    (7)  op(e3, e3) = e2
% 194.97/32.16    (8)   ~ (e2 = e1)
% 194.97/32.16    (9)   ~ (all_52_11 = e0)
% 194.97/32.16    (10)   ~ (all_52_3 = e0)
% 194.97/32.16    (11)   ~ (e3 = e1)
% 194.97/32.16    (12)  op(e0, e2) = all_52_7
% 194.97/32.16  
% 194.97/32.16  Begin of proof
% 194.97/32.16  | 
% 194.97/32.16  | BETA: splitting (4) gives:
% 194.97/32.16  | 
% 194.97/32.16  | Case 1:
% 194.97/32.16  | | 
% 194.97/32.16  | |   (13)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 194.97/32.16  | |           = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 194.97/32.16  | |         & $i(all_57_4)
% 194.97/32.16  | | 
% 194.97/32.16  | | ALPHA: (13) implies:
% 194.97/32.16  | |   (14)  op(e0, e2) = e0
% 194.97/32.16  | | 
% 194.97/32.16  | | REF_CLOSE: (1), (2), (12), (14) are inconsistent by sub-proof #818.
% 194.97/32.16  | | 
% 194.97/32.16  | Case 2:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (15)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 194.97/32.17  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 194.97/32.17  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 194.97/32.17  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 194.97/32.17  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 194.97/32.17  | | 
% 194.97/32.17  | | BETA: splitting (15) gives:
% 194.97/32.17  | | 
% 194.97/32.17  | | Case 1:
% 194.97/32.17  | | | 
% 194.97/32.17  | | |   (16)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 194.97/32.17  | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 194.97/32.17  | | |         op(e0, e1) = e0 & $i(all_57_6)
% 194.97/32.17  | | | 
% 194.97/32.17  | | | ALPHA: (16) implies:
% 194.97/32.17  | | |   (17)  op(e3, e3) = e1
% 194.97/32.17  | | | 
% 194.97/32.17  | | | REF_CLOSE: (2), (7), (8), (17) are inconsistent by sub-proof #1934.
% 194.97/32.17  | | | 
% 194.97/32.17  | | Case 2:
% 194.97/32.17  | | | 
% 194.97/32.17  | | |   (18)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.17  | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.97/32.17  | | |         op(e0, e1) = e0 & $i(all_57_7)
% 194.97/32.17  | | | 
% 194.97/32.17  | | | ALPHA: (18) implies:
% 194.97/32.17  | | |   (19)  op(e2, e2) = e1
% 194.97/32.17  | | | 
% 194.97/32.17  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (19)
% 194.97/32.17  | | |            are inconsistent by sub-proof #681.
% 194.97/32.17  | | | 
% 194.97/32.17  | | End of split
% 194.97/32.17  | | 
% 194.97/32.17  | End of split
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #432 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.17    (2)  op(e2, e0) = e2
% 194.97/32.17    (3)  op(e1, e1) = e2
% 194.97/32.17    (4)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 194.97/32.17             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 194.97/32.17           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 194.97/32.17           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 194.97/32.17           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 194.97/32.17           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 194.97/32.17    (5)   ~ (e2 = e0)
% 194.97/32.17  
% 194.97/32.17  Begin of proof
% 194.97/32.17  | 
% 194.97/32.17  | BETA: splitting (4) gives:
% 194.97/32.17  | 
% 194.97/32.17  | Case 1:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (6)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 194.97/32.17  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 194.97/32.17  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (6) implies:
% 194.97/32.17  | |   (7)   ~ (all_57_11 = e2)
% 194.97/32.17  | |   (8)  op(e2, e0) = all_57_11
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (1), (2), (7), (8) are inconsistent by sub-proof #433.
% 194.97/32.17  | | 
% 194.97/32.17  | Case 2:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (9)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 194.97/32.17  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 194.97/32.17  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (9) implies:
% 194.97/32.17  | |   (10)  op(e1, e1) = e0
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1821.
% 194.97/32.17  | | 
% 194.97/32.17  | End of split
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #433 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.17    (2)  op(e2, e0) = all_57_11
% 194.97/32.17    (3)  op(e2, e0) = e2
% 194.97/32.17    (4)   ~ (all_57_11 = e2)
% 194.97/32.17  
% 194.97/32.17  Begin of proof
% 194.97/32.17  | 
% 194.97/32.17  | GROUND_INST: instantiating (1) with e2, all_57_11, e0, e2, simplifying with
% 194.97/32.17  |              (2), (3) gives:
% 194.97/32.17  |   (5)  all_57_11 = e2
% 194.97/32.17  | 
% 194.97/32.17  | REDUCE: (4), (5) imply:
% 194.97/32.17  |   (6)  $false
% 194.97/32.17  | 
% 194.97/32.17  | CLOSE: (6) is inconsistent.
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #434 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.17    (2)  op(e2, e2) = all_4_2
% 194.97/32.17    (3)   ~ (all_4_2 = e1)
% 194.97/32.17    (4)  op(e3, e3) = e2
% 194.97/32.17    (5)  op(e1, e1) = e2
% 194.97/32.17    (6)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 194.97/32.17             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.97/32.17           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 194.97/32.17           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 194.97/32.17           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 194.97/32.17           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 194.97/32.17           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3)
% 194.97/32.17           = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 194.97/32.17           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 194.97/32.17           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 194.97/32.17           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.17           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 194.97/32.17            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 194.97/32.17             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.17  
% 194.97/32.17  Begin of proof
% 194.97/32.17  | 
% 194.97/32.17  | BETA: splitting (6) gives:
% 194.97/32.17  | 
% 194.97/32.17  | Case 1:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (7)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 194.97/32.17  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 194.97/32.17  | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 194.97/32.17  | |        (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 194.97/32.17  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 194.97/32.17  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #798.
% 194.97/32.17  | | 
% 194.97/32.17  | Case 2:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (8)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.97/32.17  | |            = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 194.97/32.17  | |          & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 194.97/32.17  | |        (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 194.97/32.17  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.97/32.17  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 194.97/32.17  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 194.97/32.17  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 194.97/32.17  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.17  | | 
% 194.97/32.17  | | BETA: splitting (8) gives:
% 194.97/32.17  | | 
% 194.97/32.17  | | Case 1:
% 194.97/32.17  | | | 
% 194.97/32.17  | | |   (9)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 194.97/32.17  | | |          = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 194.97/32.17  | | |        & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 194.97/32.17  | | | 
% 194.97/32.17  | | | ALPHA: (9) implies:
% 194.97/32.17  | | |   (10)   ~ (all_57_14 = e2)
% 194.97/32.17  | | |   (11)  op(e1, e1) = all_57_14
% 194.97/32.17  | | | 
% 194.97/32.17  | | | REF_CLOSE: (1), (5), (10), (11) are inconsistent by sub-proof #435.
% 194.97/32.17  | | | 
% 194.97/32.17  | | Case 2:
% 194.97/32.17  | | | 
% 194.97/32.17  | | |   (12)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.97/32.17  | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.17  | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.17  | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7
% 194.97/32.17  | | |             = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.17  | | |             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 194.97/32.17  | | |           $i(all_57_7) & $i(all_57_10))
% 194.97/32.17  | | | 
% 194.97/32.17  | | | BETA: splitting (12) gives:
% 194.97/32.17  | | | 
% 194.97/32.17  | | | Case 1:
% 194.97/32.17  | | | | 
% 194.97/32.17  | | | |   (13)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 194.97/32.17  | | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.17  | | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 194.97/32.17  | | | |         $i(all_57_14)
% 194.97/32.17  | | | | 
% 194.97/32.17  | | | | ALPHA: (13) implies:
% 194.97/32.17  | | | |   (14)   ~ (all_57_14 = e2)
% 194.97/32.17  | | | |   (15)  op(e1, e1) = all_57_14
% 194.97/32.17  | | | | 
% 194.97/32.17  | | | | REF_CLOSE: (1), (5), (14), (15) are inconsistent by sub-proof #435.
% 194.97/32.17  | | | | 
% 194.97/32.17  | | | Case 2:
% 194.97/32.17  | | | | 
% 194.97/32.17  | | | |   (16)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 194.97/32.17  | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 194.97/32.17  | | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 194.97/32.17  | | | |         $i(all_57_10)
% 194.97/32.17  | | | | 
% 194.97/32.17  | | | | ALPHA: (16) implies:
% 194.97/32.17  | | | |   (17)  op(e2, e2) = e1
% 194.97/32.17  | | | | 
% 194.97/32.17  | | | | REF_CLOSE: (1), (2), (3), (17) are inconsistent by sub-proof #1969.
% 194.97/32.17  | | | | 
% 194.97/32.17  | | | End of split
% 194.97/32.17  | | | 
% 194.97/32.17  | | End of split
% 194.97/32.17  | | 
% 194.97/32.17  | End of split
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #435 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.17    (2)  op(e1, e1) = all_57_14
% 194.97/32.17    (3)  op(e1, e1) = e2
% 194.97/32.17    (4)   ~ (all_57_14 = e2)
% 194.97/32.17  
% 194.97/32.17  Begin of proof
% 194.97/32.17  | 
% 194.97/32.17  | GROUND_INST: instantiating (1) with e2, all_57_14, e1, e1, simplifying with
% 194.97/32.17  |              (2), (3) gives:
% 194.97/32.17  |   (5)  all_57_14 = e2
% 194.97/32.17  | 
% 194.97/32.17  | REDUCE: (4), (5) imply:
% 194.97/32.17  |   (6)  $false
% 194.97/32.17  | 
% 194.97/32.17  | CLOSE: (6) is inconsistent.
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #436 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.17    (2)  op(e1, e0) = all_52_14
% 194.97/32.17    (3)   ~ (all_52_14 = e1)
% 194.97/32.17    (4)  op(e1, e1) = e2
% 194.97/32.17    (5)   ~ (e2 = e1)
% 194.97/32.17    (6)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.97/32.17  
% 194.97/32.17  Begin of proof
% 194.97/32.17  | 
% 194.97/32.17  | BETA: splitting (6) gives:
% 194.97/32.17  | 
% 194.97/32.17  | Case 1:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (7) implies:
% 194.97/32.17  | |   (8)  op(e1, e1) = e1
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1955.
% 194.97/32.17  | | 
% 194.97/32.17  | Case 2:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (9)  all_56_11 = e1 & op(e1, e0) = e1
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (9) implies:
% 194.97/32.17  | |   (10)  op(e1, e0) = e1
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1958.
% 194.97/32.17  | | 
% 194.97/32.17  | End of split
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #437 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.17             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.17           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.17               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.17             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.17         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.17             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.17           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.17               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.17             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.17    (2)  op(e0, e0) = e1
% 194.97/32.17    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.17    (4)  op(e1, e1) = e2
% 194.97/32.17    (5)   ~ (e1 = e0)
% 194.97/32.17    (6)   ~ (e2 = e1)
% 194.97/32.17  
% 194.97/32.17  Begin of proof
% 194.97/32.17  | 
% 194.97/32.17  | BETA: splitting (1) gives:
% 194.97/32.17  | 
% 194.97/32.17  | Case 1:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.17  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.17  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.17  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.17  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.17  | |              e1) = all_57_8 & $i(all_57_8)))
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (7) implies:
% 194.97/32.17  | |   (8)  op(e1, e1) = e1
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1955.
% 194.97/32.17  | | 
% 194.97/32.17  | Case 2:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 194.97/32.17  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.17  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.17  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.17  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.17  | |              e0) = all_57_13 & $i(all_57_13)))
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (9) implies:
% 194.97/32.17  | |   (10)  op(e0, e0) = e0
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1943.
% 194.97/32.17  | | 
% 194.97/32.17  | End of split
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #438 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)   ~ (e3 = e2)
% 194.97/32.17    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.17    (3)  op(e1, e3) = e1
% 194.97/32.17    (4)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.17           all_57_1 & $i(all_57_1))
% 194.97/32.17    (5)  op(e1, e1) = e2
% 194.97/32.17  
% 194.97/32.17  Begin of proof
% 194.97/32.17  | 
% 194.97/32.17  | BETA: splitting (4) gives:
% 194.97/32.17  | 
% 194.97/32.17  | Case 1:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (6)  all_57_14 = e3 & op(e1, e1) = e3
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (6) implies:
% 194.97/32.17  | |   (7)  op(e1, e1) = e3
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1777.
% 194.97/32.17  | | 
% 194.97/32.17  | Case 2:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (8)   ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (8) implies:
% 194.97/32.17  | |   (9)   ~ (all_57_1 = e1)
% 194.97/32.17  | |   (10)  op(e1, e3) = all_57_1
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (2), (3), (9), (10) are inconsistent by sub-proof #1326.
% 194.97/32.17  | | 
% 194.97/32.17  | End of split
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #439 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)   ~ (e3 = e2)
% 194.97/32.17    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.17    (3)  op(e3, e3) = e1
% 194.97/32.17    (4)  op(e1, e1) = e2
% 194.97/32.17    (5)   ~ (e2 = e1)
% 194.97/32.17    (6)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.17             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.17           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 194.97/32.17           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 194.97/32.17             e2) = e0 & $i(all_57_3))
% 194.97/32.17  
% 194.97/32.17  Begin of proof
% 194.97/32.17  | 
% 194.97/32.17  | BETA: splitting (6) gives:
% 194.97/32.17  | 
% 194.97/32.17  | Case 1:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 194.97/32.17  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 194.97/32.17  | |        $i(all_57_1)
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (7) implies:
% 194.97/32.17  | |   (8)  op(e1, e1) = e3
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1777.
% 194.97/32.17  | | 
% 194.97/32.17  | Case 2:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 194.97/32.17  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 194.97/32.17  | |        $i(all_57_3)
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (9) implies:
% 194.97/32.17  | |   (10)  op(e3, e3) = e2
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1934.
% 194.97/32.17  | | 
% 194.97/32.17  | End of split
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #440 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)   ~ (all_52_13 = e3)
% 194.97/32.17    (2)  all_54_7 = all_52_13
% 194.97/32.17    (3)   ~ (all_52_13 = e2)
% 194.97/32.17    (4)   ~ (all_52_13 = e1)
% 194.97/32.17    (5)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.97/32.17    (6)   ~ (all_52_13 = e0)
% 194.97/32.17  
% 194.97/32.17  Begin of proof
% 194.97/32.17  | 
% 194.97/32.17  | BETA: splitting (5) gives:
% 194.97/32.17  | 
% 194.97/32.17  | Case 1:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (7)  all_54_7 = e3
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #1484.
% 194.97/32.17  | | 
% 194.97/32.17  | Case 2:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (8)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (2), (3), (4), (6), (8) are inconsistent by sub-proof #1375.
% 194.97/32.17  | | 
% 194.97/32.17  | End of split
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #441 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.17    (2)  op(e2, e1) = e1
% 194.97/32.17    (3)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.97/32.17             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.17           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 194.97/32.17           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 194.97/32.17           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 194.97/32.17           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 194.97/32.17    (4)  op(e3, e3) = e1
% 194.97/32.17    (5)   ~ (e2 = e1)
% 194.97/32.17  
% 194.97/32.17  Begin of proof
% 194.97/32.17  | 
% 194.97/32.17  | BETA: splitting (3) gives:
% 194.97/32.17  | 
% 194.97/32.17  | Case 1:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (6)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 194.97/32.17  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 194.97/32.17  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (6) implies:
% 194.97/32.17  | |   (7)   ~ (all_57_10 = e1)
% 194.97/32.17  | |   (8)  op(e3, e3) = all_57_10
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (1), (4), (7), (8) are inconsistent by sub-proof #1319.
% 194.97/32.17  | | 
% 194.97/32.17  | Case 2:
% 194.97/32.17  | | 
% 194.97/32.17  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 194.97/32.17  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 194.97/32.17  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 194.97/32.17  | | 
% 194.97/32.17  | | ALPHA: (9) implies:
% 194.97/32.17  | |   (10)  op(e2, e1) = e2
% 194.97/32.17  | | 
% 194.97/32.17  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1441.
% 194.97/32.17  | | 
% 194.97/32.17  | End of split
% 194.97/32.17  | 
% 194.97/32.17  End of proof
% 194.97/32.17  
% 194.97/32.17  Sub-proof #442 shows that the following formulas are inconsistent:
% 194.97/32.17  ----------------------------------------------------------------
% 194.97/32.17    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.17           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.17           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.17                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.17               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.17               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.17           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.97/32.17           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.17               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.17           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.17               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.97/32.17           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.97/32.17           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.97/32.17               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.17               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.17               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.17         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.97/32.17           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.17           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.97/32.17               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.17             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.17         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.17           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.17           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.17                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.17               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.17               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.17           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.17           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.17             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.17           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.17               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.97/32.17           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.17           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.97/32.17               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.17               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.17               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.17         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.97/32.17           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.17           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.97/32.17               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.17             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.17         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.17           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.17           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.17                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.17               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.17               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.17           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.17             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.17               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.17           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.17               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.17           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.17           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.97/32.17               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.17               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.17               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.17         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.97/32.17           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.17           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.17               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.97/32.17             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.97/32.17         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.17             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.17           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.17               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.17             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.17         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.97/32.17             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.17           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.17               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.17             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.17         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.17             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.17           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.17               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.17             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.17         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.17             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.17           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.17               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.17             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.17    (2)  op(e1, e2) = all_52_6
% 194.97/32.17    (3)   ~ (all_52_11 = e1)
% 194.97/32.17    (4)  op(e0, e0) = e1
% 194.97/32.17    (5)   ~ (all_4_2 = e0)
% 194.97/32.17    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.17    (7)  op(e2, e2) = all_4_2
% 194.97/32.17    (8)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.97/32.17    (9)   ~ (all_57_15 = e2)
% 194.97/32.17    (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.17          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.17    (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.97/32.17          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.97/32.17    (12)   ~ (all_52_14 = e3)
% 194.97/32.17    (13)  op(e0, e3) = all_52_3
% 194.97/32.17    (14)   ~ (all_52_14 = e2)
% 194.97/32.17    (15)  op(e2, e0) = all_52_13
% 194.97/32.17    (16)  op(e1, e0) = all_52_14
% 194.97/32.17    (17)  op(e0, e2) = e0
% 194.97/32.17    (18)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 194.97/32.17          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 194.97/32.17    (19)  op(e0, e1) = all_52_11
% 194.97/32.17    (20)  op(e3, e3) = e3
% 194.97/32.17    (21)  all_56_7 = e3
% 194.97/32.17    (22)  all_56_14 = e3
% 194.97/32.17    (23)   ~ (all_4_2 = e1)
% 194.97/32.17    (24)   ~ (all_52_14 = e1)
% 194.97/32.17    (25)   ~ (all_4_2 = e3)
% 194.97/32.17    (26)   ~ (all_52_8 = e2)
% 194.97/32.17    (27)  all_54_11 = all_52_14
% 194.97/32.17    (28)  all_54_5 = all_4_2
% 194.97/32.17    (29)   ~ (all_52_13 = all_52_14)
% 194.97/32.17    (30)   ~ (all_52_11 = e0)
% 194.97/32.17    (31)   ~ (all_52_3 = e0)
% 194.97/32.17    (32)   ~ (all_52_13 = all_4_2)
% 194.97/32.17    (33)   ~ (all_52_9 = all_4_2)
% 194.97/32.17    (34)  op(e2, e1) = all_52_9
% 194.97/32.17    (35)  op(e3, e1) = all_52_8
% 194.97/32.17    (36)   ~ (e3 = e1)
% 194.97/32.17    (37)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.97/32.17          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.97/32.17    (38)   ~ (all_52_6 = e1)
% 194.97/32.17    (39)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 194.97/32.18  
% 194.97/32.18  Begin of proof
% 194.97/32.18  | 
% 194.97/32.18  | BETA: splitting (8) gives:
% 194.97/32.18  | 
% 194.97/32.18  | Case 1:
% 194.97/32.18  | | 
% 194.97/32.18  | |   (40)  all_54_11 = e2
% 194.97/32.18  | | 
% 194.97/32.18  | | REF_CLOSE: (14), (27), (40) are inconsistent by sub-proof #1339.
% 194.97/32.18  | | 
% 194.97/32.18  | Case 2:
% 194.97/32.18  | | 
% 194.97/32.18  | |   (41)  all_54_11 = e1 | all_54_11 = e0
% 194.97/32.18  | | 
% 194.97/32.18  | | BETA: splitting (41) gives:
% 194.97/32.18  | | 
% 194.97/32.18  | | Case 1:
% 194.97/32.18  | | | 
% 194.97/32.18  | | |   (42)  all_54_11 = e1
% 194.97/32.18  | | | 
% 194.97/32.18  | | | REF_CLOSE: (24), (27), (42) are inconsistent by sub-proof #1338.
% 194.97/32.18  | | | 
% 194.97/32.18  | | Case 2:
% 194.97/32.18  | | | 
% 194.97/32.18  | | |   (43)  all_54_11 = e0
% 194.97/32.18  | | | 
% 194.97/32.18  | | | COMBINE_EQS: (27), (43) imply:
% 194.97/32.18  | | |   (44)  all_52_14 = e0
% 194.97/32.18  | | | 
% 194.97/32.18  | | | SIMP: (44) implies:
% 194.97/32.18  | | |   (45)  all_52_14 = e0
% 194.97/32.18  | | | 
% 194.97/32.18  | | | REDUCE: (29), (45) imply:
% 194.97/32.18  | | |   (46)   ~ (all_52_13 = e0)
% 194.97/32.18  | | | 
% 194.97/32.18  | | | REDUCE: (12), (45) imply:
% 194.97/32.18  | | |   (47)   ~ (e3 = e0)
% 194.97/32.18  | | | 
% 194.97/32.18  | | | SIMP: (47) implies:
% 194.97/32.18  | | |   (48)   ~ (e3 = e0)
% 194.97/32.18  | | | 
% 194.97/32.18  | | | REDUCE: (24), (45) imply:
% 194.97/32.18  | | |   (49)   ~ (e1 = e0)
% 194.97/32.18  | | | 
% 194.97/32.18  | | | SIMP: (49) implies:
% 194.97/32.18  | | |   (50)   ~ (e1 = e0)
% 194.97/32.18  | | | 
% 194.97/32.18  | | | BETA: splitting (39) gives:
% 194.97/32.18  | | | 
% 194.97/32.18  | | | Case 1:
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | |   (51)  all_54_5 = e2
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | COMBINE_EQS: (28), (51) imply:
% 194.97/32.18  | | | |   (52)  all_4_2 = e2
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | SIMP: (52) implies:
% 194.97/32.18  | | | |   (53)  all_4_2 = e2
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | REDUCE: (33), (53) imply:
% 194.97/32.18  | | | |   (54)   ~ (all_52_9 = e2)
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | REDUCE: (32), (53) imply:
% 194.97/32.18  | | | |   (55)   ~ (all_52_13 = e2)
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | REDUCE: (25), (53) imply:
% 194.97/32.18  | | | |   (56)   ~ (e3 = e2)
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | SIMP: (56) implies:
% 194.97/32.18  | | | |   (57)   ~ (e3 = e2)
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | REDUCE: (23), (53) imply:
% 194.97/32.18  | | | |   (58)   ~ (e2 = e1)
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | REDUCE: (5), (53) imply:
% 194.97/32.18  | | | |   (59)   ~ (e2 = e0)
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | REDUCE: (7), (53) imply:
% 194.97/32.18  | | | |   (60)  op(e2, e2) = e2
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | BETA: splitting (18) gives:
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | Case 1:
% 194.97/32.18  | | | | | 
% 194.97/32.18  | | | | |   (61)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1,
% 194.97/32.18  | | | | |             e2) = e1)
% 194.97/32.18  | | | | | 
% 194.97/32.18  | | | | | BETA: splitting (61) gives:
% 194.97/32.18  | | | | | 
% 194.97/32.18  | | | | | Case 1:
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | |   (62)  all_56_6 = e1 & op(e1, e3) = e1
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | | ALPHA: (62) implies:
% 194.97/32.18  | | | | | |   (63)  all_56_6 = e1
% 194.97/32.18  | | | | | |   (64)  op(e1, e3) = e1
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | | BETA: splitting (1) gives:
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | | Case 1:
% 194.97/32.18  | | | | | | | 
% 194.97/32.18  | | | | | | |   (65)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 194.97/32.18  | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 194.97/32.18  | | | | | | |             e2) = all_57_12 & $i(all_57_12) & ((all_57_14 = e2 &
% 194.97/32.18  | | | | | | |               op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.18  | | | | | | |               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.18  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.97/32.18  | | | | | | |               = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 194.97/32.18  | | | | | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10
% 194.97/32.18  | | | | | | |           & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.18  | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 194.97/32.18  | | | | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.18  | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 194.97/32.18  | | | | | | |             | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.18  | | | | | | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.97/32.18  | | | | | | |           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 194.97/32.18  | | | | | | |           op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 194.97/32.18  | | | | | | |           & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.18  | | | | | | |                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.18  | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 194.97/32.18  | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.18  | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 194.97/32.18  | | | | | | |             e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 194.97/32.18  | | | | | | |           op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 194.97/32.18  | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.97/32.18  | | | | | | |               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 &
% 194.97/32.18  | | | | | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.18  | | | | | | |               = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 &
% 194.97/32.18  | | | | | | |           all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.18  | | | | | | |           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 194.97/32.18  | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2,
% 194.97/32.18  | | | | | | |                 e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.18  | | | | | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 &
% 194.97/32.18  | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 194.97/32.18  | | | | | | |               = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.97/32.18  | | | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10
% 194.97/32.18  | | | | | | |           & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.18  | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | (
% 194.97/32.18  | | | | | | |               ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.18  | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 194.97/32.18  | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.18  | | | | | | |               $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.97/32.18  | | | | | | |           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 194.97/32.18  | | | | | | |           op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 194.97/32.18  | | | | | | |           & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.97/32.18  | | | | | | |                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.18  | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 194.97/32.18  | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.18  | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2,
% 194.97/32.18  | | | | | | |             e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 &
% 194.97/32.18  | | | | | | |           op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 194.97/32.18  | | | | | | |               op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.97/32.18  | | | | | | |               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 &
% 194.97/32.18  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.97/32.18  | | | | | | |               = all_57_5 & $i(all_57_5))))
% 194.97/32.18  | | | | | | | 
% 194.97/32.18  | | | | | | | BETA: splitting (65) gives:
% 194.97/32.18  | | | | | | | 
% 194.97/32.18  | | | | | | | Case 1:
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | |   (66)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 194.97/32.18  | | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 194.97/32.18  | | | | | | | |           op(e2, e2) = all_57_12 & $i(all_57_12) & ((all_57_14 =
% 194.97/32.18  | | | | | | | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.18  | | | | | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.18  | | | | | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 194.97/32.18  | | | | | | | |                 e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.18  | | | | | | | |         (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3,
% 194.97/32.18  | | | | | | | |             e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2
% 194.97/32.18  | | | | | | | |           & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 = e3 &
% 194.97/32.18  | | | | | | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 194.97/32.18  | | | | | | | |                 e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 194.97/32.18  | | | | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.18  | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.18  | | | | | | | |         (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3,
% 194.97/32.18  | | | | | | | |             e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.97/32.18  | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 =
% 194.97/32.18  | | | | | | | |               e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.18  | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.18  | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 194.97/32.18  | | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.18  | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 194.97/32.18  | | | | | | | |             e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1
% 194.97/32.18  | | | | | | | |           & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 194.97/32.18  | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.97/32.18  | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 194.97/32.18  | | | | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.18  | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | | BETA: splitting (66) gives:
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | | Case 1:
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | |   (67)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.97/32.18  | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3
% 194.97/32.18  | | | | | | | | |           & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.97/32.18  | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 194.97/32.18  | | | | | | | | |                 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 194.97/32.18  | | | | | | | | |           & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.97/32.18  | | | | | | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2
% 194.97/32.18  | | | | | | | | |           & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.18  | | | | | | | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.18  | | | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 194.97/32.18  | | | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.18  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.18  | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | REF_CLOSE: (6), (7), (9), (17), (25), (67) are inconsistent by
% 194.97/32.18  | | | | | | | | |            sub-proof #806.
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | Case 2:
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | |   (68)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.97/32.18  | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3
% 194.97/32.18  | | | | | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.18  | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 194.97/32.18  | | | | | | | | |                 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 194.97/32.18  | | | | | | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.18  | | | | | | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 194.97/32.18  | | | | | | | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.18  | | | | | | | | |             e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.18  | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3)
% 194.97/32.18  | | | | | | | | |             | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.18  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.18  | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | BETA: splitting (68) gives:
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | Case 1:
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | |   (69)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.97/32.18  | | | | | | | | | |         op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3
% 194.97/32.18  | | | | | | | | | |         & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.18  | | | | | | | | | |         ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 194.97/32.18  | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 194.97/32.18  | | | | | | | | | |         & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.18  | | | | | | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.18  | | | | | | | | | |             $i(all_57_8)))
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | | ALPHA: (69) implies:
% 194.97/32.18  | | | | | | | | | |   (70)  op(e3, e3) = e1
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | | REF_CLOSE: (6), (20), (36), (70) are inconsistent by
% 194.97/32.18  | | | | | | | | | |            sub-proof #1966.
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | Case 2:
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | |   (71)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.18  | | | | | | | | | |         op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 194.97/32.18  | | | | | | | | | |           e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.18  | | | | | | | | | |         ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.97/32.18  | | | | | | | | | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0)))
% 194.97/32.18  | | | | | | | | | |         & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 194.97/32.18  | | | | | | | | | |             (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.18  | | | | | | | | | |             $i(all_57_2)))
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | | ALPHA: (71) implies:
% 194.97/32.18  | | | | | | | | | |   (72)  op(e1, e1) = e3
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | | REF_CLOSE: (6), (11), (21), (37), (48), (50), (57), (58),
% 194.97/32.18  | | | | | | | | | |            (59), (63), (72) are inconsistent by sub-proof
% 194.97/32.18  | | | | | | | | | |            #1772.
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | End of split
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | End of split
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | Case 2:
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | |   (73)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3,
% 194.97/32.18  | | | | | | | |             e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 194.97/32.18  | | | | | | | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12 =
% 194.97/32.18  | | | | | | | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.18  | | | | | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.18  | | | | | | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 =
% 194.97/32.18  | | | | | | | |                 e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.18  | | | | | | | |         | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.97/32.18  | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3)
% 194.97/32.18  | | | | | | | |           = e0 & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 =
% 194.97/32.18  | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.18  | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.18  | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 194.97/32.18  | | | | | | | |                 e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.97/32.18  | | | | | | | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2,
% 194.97/32.18  | | | | | | | |             e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.18  | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 =
% 194.97/32.18  | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.97/32.18  | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.18  | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 194.97/32.18  | | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.18  | | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2,
% 194.97/32.18  | | | | | | | |             e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1
% 194.97/32.18  | | | | | | | |           & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 194.97/32.18  | | | | | | | |               op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.18  | | | | | | | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 194.97/32.18  | | | | | | | |               e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.18  | | | | | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | | BETA: splitting (73) gives:
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | | Case 1:
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | |   (74)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.97/32.18  | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3
% 194.97/32.18  | | | | | | | | |           & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.18  | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.97/32.18  | | | | | | | | |                 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 194.97/32.18  | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.18  | | | | | | | | |               all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.97/32.18  | | | | | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 194.97/32.18  | | | | | | | | |           all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.18  | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 194.97/32.18  | | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.97/32.18  | | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14
% 194.97/32.18  | | | | | | | | |               = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.18  | | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))))
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | REF_CLOSE: (6), (13), (20), (31), (48), (74) are inconsistent
% 194.97/32.18  | | | | | | | | |            by sub-proof #1328.
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | Case 2:
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | |   (75)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.97/32.18  | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2
% 194.97/32.18  | | | | | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.18  | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 194.97/32.18  | | | | | | | | |                 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)))
% 194.97/32.18  | | | | | | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.18  | | | | | | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 194.97/32.18  | | | | | | | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 194.97/32.18  | | | | | | | | |             e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.97/32.18  | | | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2)
% 194.97/32.18  | | | | | | | | |             | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.97/32.18  | | | | | | | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.97/32.18  | | | | | | | | |               all_57_5 & $i(all_57_5))))
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | REF_CLOSE: (2), (6), (38), (58), (60), (75) are inconsistent
% 194.97/32.18  | | | | | | | | |            by sub-proof #1272.
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | End of split
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | End of split
% 194.97/32.18  | | | | | | | 
% 194.97/32.18  | | | | | | Case 2:
% 194.97/32.18  | | | | | | | 
% 194.97/32.18  | | | | | | |   (76)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 194.97/32.18  | | | | | | |             e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 194.97/32.18  | | | | | | |             e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 194.97/32.18  | | | | | | |               op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 194.97/32.18  | | | | | | |               = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.18  | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 194.97/32.18  | | | | | | |               = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.97/32.18  | | | | | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12
% 194.97/32.18  | | | | | | |           & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.18  | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | (
% 194.97/32.18  | | | | | | |               ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.18  | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2)
% 194.97/32.18  | | | | | | |             | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.18  | | | | | | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.18  | | | | | | |           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 &
% 194.97/32.18  | | | | | | |           op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15)
% 194.97/32.18  | | | | | | |           & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.18  | | | | | | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.18  | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.18  | | | | | | |                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.18  | | | | | | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1,
% 194.97/32.18  | | | | | | |             e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 194.97/32.18  | | | | | | |           op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 &
% 194.97/32.18  | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.18  | | | | | | |               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 194.97/32.18  | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.18  | | | | | | |               = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 &
% 194.97/32.18  | | | | | | |           op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.18  | | | | | | |             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.18  | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 194.97/32.18  | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.18  | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 194.97/32.18  | | | | | | |             | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.18  | | | | | | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2
% 194.97/32.18  | | | | | | |           & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.97/32.18  | | | | | | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.18  | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.18  | | | | | | |                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.18  | | | | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 194.97/32.18  | | | | | | |                 e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.18  | | | | | | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 194.97/32.18  | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.18  | | | | | | |               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 194.97/32.18  | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.18  | | | | | | |               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.97/32.18  | | | | | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 194.97/32.18  | | | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 194.97/32.18  | | | | | | |           op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.18  | | | | | | |             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.18  | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0)
% 194.97/32.18  | | | | | | |             | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.18  | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 194.97/32.18  | | | | | | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.18  | | | | | | |               & $i(all_57_13))))
% 194.97/32.18  | | | | | | | 
% 194.97/32.18  | | | | | | | BETA: splitting (76) gives:
% 194.97/32.18  | | | | | | | 
% 194.97/32.18  | | | | | | | Case 1:
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | |   (77)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.97/32.18  | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 194.97/32.18  | | | | | | | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 =
% 194.97/32.18  | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.97/32.18  | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.18  | | | | | | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 =
% 194.97/32.18  | | | | | | | |                 e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.18  | | | | | | | |         | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.97/32.18  | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2)
% 194.97/32.18  | | | | | | | |           = e0 & op(e0, e0) = e2 & $i(all_57_12) & ((all_57_10 =
% 194.97/32.18  | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.97/32.18  | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.18  | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.18  | | | | | | | |                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.97/32.18  | | | | | | | |         (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.97/32.18  | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.18  | | | | | | | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 =
% 194.97/32.18  | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.97/32.18  | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.18  | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.18  | | | | | | | |                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))))
% 194.97/32.18  | | | | | | | |         | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.97/32.18  | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1)
% 194.97/32.18  | | | | | | | |           = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 =
% 194.97/32.18  | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.97/32.18  | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.18  | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.18  | | | | | | | |                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | | BETA: splitting (77) gives:
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | | Case 1:
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | |   (78)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.97/32.18  | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2
% 194.97/32.18  | | | | | | | | |           & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.18  | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 194.97/32.18  | | | | | | | | |                 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)))
% 194.97/32.18  | | | | | | | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 194.97/32.18  | | | | | | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 =
% 194.97/32.18  | | | | | | | | |           e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 194.97/32.18  | | | | | | | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2
% 194.97/32.18  | | | | | | | | |           & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.18  | | | | | | | | |               e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.18  | | | | | | | | |               all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 194.97/32.18  | | | | | | | | |               op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 194.97/32.18  | | | | | | | | |                 e2) = all_57_4 & $i(all_57_4))))
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | REF_CLOSE: (6), (15), (46), (55), (78) are inconsistent by
% 194.97/32.18  | | | | | | | | |            sub-proof #1172.
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | Case 2:
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | |   (79)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.97/32.18  | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1
% 194.97/32.18  | | | | | | | | |           & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.18  | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 194.97/32.18  | | | | | | | | |                 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)))
% 194.97/32.18  | | | | | | | | |           & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.18  | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 194.97/32.18  | | | | | | | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 194.97/32.18  | | | | | | | | |           op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1
% 194.97/32.18  | | | | | | | | |           & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.18  | | | | | | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.97/32.18  | | | | | | | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 194.97/32.18  | | | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 194.97/32.18  | | | | | | | | |                 e1) = all_57_7 & $i(all_57_7))))
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | REF_CLOSE: (3), (6), (19), (30), (79) are inconsistent by
% 194.97/32.18  | | | | | | | | |            sub-proof #876.
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | End of split
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | Case 2:
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | |   (80)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 194.97/32.18  | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.97/32.18  | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.97/32.18  | | | | | | | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.18  | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.18  | | | | | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 194.97/32.18  | | | | | | | |                 e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.18  | | | | | | | |         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 &
% 194.97/32.18  | | | | | | | |               op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.18  | | | | | | | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 194.97/32.18  | | | | | | | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.18  | | | | | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.18  | | | | | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 194.97/32.18  | | | | | | | |                 e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.18  | | | | | | | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 194.97/32.18  | | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 194.97/32.18  | | | | | | | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 194.97/32.18  | | | | | | | |               e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.18  | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.18  | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 194.97/32.18  | | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.18  | | | | | | | |         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 &
% 194.97/32.18  | | | | | | | |               op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 194.97/32.18  | | | | | | | |                 e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 194.97/32.18  | | | | | | | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.18  | | | | | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.18  | | | | | | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 =
% 194.97/32.18  | | | | | | | |                 e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | | BETA: splitting (80) gives:
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | | Case 1:
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | |   (81)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 194.97/32.18  | | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.97/32.18  | | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14
% 194.97/32.18  | | | | | | | | |               = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.18  | | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.18  | | | | | | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 194.97/32.18  | | | | | | | | |                 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) =
% 194.97/32.18  | | | | | | | | |           e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.18  | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) =
% 194.97/32.18  | | | | | | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 194.97/32.18  | | | | | | | | |               all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.18  | | | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.18  | | | | | | | | |                 e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | BETA: splitting (81) gives:
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | Case 1:
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | |   (82)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3
% 194.97/32.18  | | | | | | | | | |             & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.18  | | | | | | | | | |             op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.18  | | | | | | | | | |         ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 194.97/32.18  | | | | | | | | | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 194.97/32.18  | | | | | | | | | |         & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 194.97/32.18  | | | | | | | | | |             (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.18  | | | | | | | | | |             $i(all_57_2)))
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | | ALPHA: (82) implies:
% 194.97/32.18  | | | | | | | | | |   (83)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 194.97/32.18  | | | | | | | | | |             e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | | REF_CLOSE: (6), (11), (21), (37), (48), (50), (57), (58),
% 194.97/32.18  | | | | | | | | | |            (59), (63), (64), (83) are inconsistent by
% 194.97/32.18  | | | | | | | | | |            sub-proof #542.
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | Case 2:
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | |   (84)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2
% 194.97/32.18  | | | | | | | | | |             & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.97/32.18  | | | | | | | | | |             op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.18  | | | | | | | | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 194.97/32.18  | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 194.97/32.18  | | | | | | | | | |         & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.97/32.18  | | | | | | | | | |             (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.18  | | | | | | | | | |             $i(all_57_5)))
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | | ALPHA: (84) implies:
% 194.97/32.18  | | | | | | | | | |   (85)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 194.97/32.18  | | | | | | | | | |             e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | | REF_CLOSE: (6), (9), (17), (85) are inconsistent by sub-proof
% 194.97/32.18  | | | | | | | | | |            #807.
% 194.97/32.18  | | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | End of split
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | Case 2:
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | |   (86)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 194.97/32.18  | | | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 194.97/32.18  | | | | | | | | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12
% 194.97/32.18  | | | | | | | | |               = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.18  | | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.18  | | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 194.97/32.18  | | | | | | | | |                 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) =
% 194.97/32.18  | | | | | | | | |           e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.18  | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.18  | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) =
% 194.97/32.18  | | | | | | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.18  | | | | | | | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 &
% 194.97/32.18  | | | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.18  | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | | REF_CLOSE: (4), (6), (10), (22), (26), (34), (35), (50), (54),
% 194.97/32.18  | | | | | | | | |            (57), (58), (86) are inconsistent by sub-proof
% 194.97/32.18  | | | | | | | | |            #443.
% 194.97/32.18  | | | | | | | | | 
% 194.97/32.18  | | | | | | | | End of split
% 194.97/32.18  | | | | | | | | 
% 194.97/32.18  | | | | | | | End of split
% 194.97/32.18  | | | | | | | 
% 194.97/32.18  | | | | | | End of split
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | Case 2:
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | |   (87)  all_56_7 = e1 & op(e1, e2) = e1
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | | ALPHA: (87) implies:
% 194.97/32.18  | | | | | |   (88)  op(e1, e2) = e1
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | | REF_CLOSE: (2), (6), (38), (88) are inconsistent by sub-proof #1970.
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | End of split
% 194.97/32.18  | | | | | 
% 194.97/32.18  | | | | Case 2:
% 194.97/32.18  | | | | | 
% 194.97/32.18  | | | | |   (89)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1,
% 194.97/32.18  | | | | |             e0) = e1)
% 194.97/32.18  | | | | | 
% 194.97/32.18  | | | | | BETA: splitting (89) gives:
% 194.97/32.18  | | | | | 
% 194.97/32.18  | | | | | Case 1:
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | |   (90)  all_56_8 = e1 & op(e1, e1) = e1
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | | ALPHA: (90) implies:
% 194.97/32.18  | | | | | |   (91)  op(e1, e1) = e1
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | | REF_CLOSE: (6), (10), (22), (26), (34), (35), (54), (57), (58), (91)
% 194.97/32.18  | | | | | |            are inconsistent by sub-proof #545.
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | Case 2:
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | |   (92)  all_56_11 = e1 & op(e1, e0) = e1
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | | ALPHA: (92) implies:
% 194.97/32.18  | | | | | |   (93)  op(e1, e0) = e1
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | | REF_CLOSE: (6), (16), (24), (93) are inconsistent by sub-proof
% 194.97/32.18  | | | | | |            #1958.
% 194.97/32.18  | | | | | | 
% 194.97/32.18  | | | | | End of split
% 194.97/32.18  | | | | | 
% 194.97/32.18  | | | | End of split
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | Case 2:
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | |   (94)  all_54_5 = e1 | all_54_5 = e0
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | | REF_CLOSE: (5), (23), (28), (94) are inconsistent by sub-proof #1941.
% 194.97/32.18  | | | | 
% 194.97/32.18  | | | End of split
% 194.97/32.18  | | | 
% 194.97/32.18  | | End of split
% 194.97/32.18  | | 
% 194.97/32.18  | End of split
% 194.97/32.18  | 
% 194.97/32.18  End of proof
% 194.97/32.18  
% 194.97/32.18  Sub-proof #443 shows that the following formulas are inconsistent:
% 194.97/32.18  ----------------------------------------------------------------
% 194.97/32.19    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.19             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.19           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.19               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.19             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.19         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.19             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.19           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.19               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.19             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.19    (2)  op(e0, e0) = e1
% 194.97/32.19    (3)   ~ (e3 = e2)
% 194.97/32.19    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.19    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.19         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.19    (6)   ~ (all_52_9 = e2)
% 194.97/32.19    (7)  all_56_14 = e3
% 194.97/32.19    (8)   ~ (all_52_8 = e2)
% 194.97/32.19    (9)   ~ (e1 = e0)
% 194.97/32.19    (10)   ~ (e2 = e1)
% 194.97/32.19    (11)  op(e2, e1) = all_52_9
% 194.97/32.19    (12)  op(e3, e1) = all_52_8
% 194.97/32.19  
% 194.97/32.19  Begin of proof
% 194.97/32.19  | 
% 194.97/32.19  | BETA: splitting (1) gives:
% 194.97/32.19  | 
% 194.97/32.19  | Case 1:
% 194.97/32.19  | | 
% 194.97/32.19  | |   (13)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.19  | |             e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.19  | |             $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.19  | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.19  | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.19  | |               e1) = all_57_8 & $i(all_57_8)))
% 194.97/32.19  | | 
% 194.97/32.19  | | ALPHA: (13) implies:
% 194.97/32.19  | |   (14)  op(e1, e1) = e1
% 194.97/32.19  | | 
% 194.97/32.19  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (11), (12), (14) are
% 194.97/32.19  | |            inconsistent by sub-proof #545.
% 194.97/32.19  | | 
% 194.97/32.19  | Case 2:
% 194.97/32.19  | | 
% 194.97/32.19  | |   (15)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 194.97/32.19  | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.19  | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.19  | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.19  | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.19  | |               e0) = all_57_13 & $i(all_57_13)))
% 194.97/32.19  | | 
% 194.97/32.19  | | ALPHA: (15) implies:
% 194.97/32.19  | |   (16)  op(e0, e0) = e0
% 194.97/32.19  | | 
% 194.97/32.19  | | REF_CLOSE: (2), (4), (9), (16) are inconsistent by sub-proof #1943.
% 194.97/32.19  | | 
% 194.97/32.19  | End of split
% 194.97/32.19  | 
% 194.97/32.19  End of proof
% 194.97/32.19  
% 194.97/32.19  Sub-proof #444 shows that the following formulas are inconsistent:
% 194.97/32.19  ----------------------------------------------------------------
% 194.97/32.19    (1)  op(e0, e0) = e1
% 194.97/32.19    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.19    (3)  op(e2, e2) = all_4_2
% 194.97/32.19    (4)   ~ (all_4_2 = e1)
% 194.97/32.19    (5)   ~ (e2 = e1)
% 194.97/32.19    (6)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 194.97/32.19             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.97/32.19           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 194.97/32.19           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 194.97/32.19           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 194.97/32.19           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 194.97/32.19  
% 194.97/32.19  Begin of proof
% 194.97/32.19  | 
% 194.97/32.19  | BETA: splitting (6) gives:
% 194.97/32.19  | 
% 194.97/32.19  | Case 1:
% 194.97/32.19  | | 
% 194.97/32.19  | |   (7)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 194.97/32.19  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 194.97/32.19  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 194.97/32.19  | | 
% 194.97/32.19  | | ALPHA: (7) implies:
% 194.97/32.19  | |   (8)  op(e0, e0) = e2
% 194.97/32.19  | | 
% 194.97/32.19  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1780.
% 194.97/32.19  | | 
% 194.97/32.19  | Case 2:
% 194.97/32.19  | | 
% 194.97/32.19  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 194.97/32.19  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 194.97/32.19  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 194.97/32.19  | | 
% 194.97/32.19  | | ALPHA: (9) implies:
% 194.97/32.19  | |   (10)  op(e2, e2) = e1
% 194.97/32.19  | | 
% 194.97/32.19  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1969.
% 194.97/32.19  | | 
% 194.97/32.19  | End of split
% 194.97/32.19  | 
% 194.97/32.19  End of proof
% 194.97/32.19  
% 194.97/32.19  Sub-proof #445 shows that the following formulas are inconsistent:
% 194.97/32.19  ----------------------------------------------------------------
% 194.97/32.19    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.97/32.19             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.97/32.19           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 194.97/32.19           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 194.97/32.19           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 194.97/32.19           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 194.97/32.19    (2)  op(e0, e0) = e1
% 194.97/32.19    (3)   ~ (e3 = e2)
% 194.97/32.19    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.19    (5)  op(e1, e1) = e2
% 194.97/32.19    (6)   ~ (e3 = e1)
% 194.97/32.19  
% 194.97/32.19  Begin of proof
% 194.97/32.19  | 
% 194.97/32.19  | BETA: splitting (1) gives:
% 194.97/32.19  | 
% 194.97/32.19  | Case 1:
% 194.97/32.19  | | 
% 194.97/32.19  | |   (7)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 194.97/32.19  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 194.97/32.19  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 194.97/32.19  | | 
% 194.97/32.19  | | ALPHA: (7) implies:
% 194.97/32.19  | |   (8)  op(e1, e1) = e3
% 194.97/32.19  | | 
% 194.97/32.19  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #1777.
% 194.97/32.19  | | 
% 194.97/32.19  | Case 2:
% 194.97/32.19  | | 
% 194.97/32.19  | |   (9)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 194.97/32.19  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 194.97/32.19  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 194.97/32.19  | | 
% 194.97/32.19  | | ALPHA: (9) implies:
% 194.97/32.19  | |   (10)  op(e0, e0) = e3
% 194.97/32.19  | | 
% 194.97/32.19  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1392.
% 194.97/32.19  | | 
% 194.97/32.19  | End of split
% 194.97/32.19  | 
% 194.97/32.19  End of proof
% 194.97/32.19  
% 194.97/32.19  Sub-proof #446 shows that the following formulas are inconsistent:
% 194.97/32.19  ----------------------------------------------------------------
% 194.97/32.19    (1)  op(e1, e2) = all_52_6
% 194.97/32.19    (2)   ~ (all_52_6 = e0)
% 194.97/32.19    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.19    (4)  all_54_9 = all_52_6
% 194.97/32.19    (5)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.97/32.19           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.97/32.19           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.97/32.19                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 194.97/32.19               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.19               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.97/32.19           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 194.97/32.19           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.19               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.19           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.97/32.19               = all_57_5 & $i(all_57_5))))
% 194.97/32.19    (6)   ~ (all_52_6 = e2)
% 194.97/32.19    (7)   ~ (all_52_6 = e1)
% 194.97/32.19    (8)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 194.97/32.19  
% 194.97/32.19  Begin of proof
% 194.97/32.19  | 
% 194.97/32.19  | BETA: splitting (5) gives:
% 194.97/32.19  | 
% 194.97/32.19  | Case 1:
% 194.97/32.19  | | 
% 194.97/32.19  | |   (9)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 194.97/32.19  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 194.97/32.19  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.97/32.19  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 194.97/32.19  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.97/32.19  | |            & $i(all_57_8)))
% 194.97/32.19  | | 
% 194.97/32.19  | | ALPHA: (9) implies:
% 194.97/32.19  | |   (10)  op(e1, e2) = e2
% 194.97/32.19  | | 
% 194.97/32.19  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (10) are inconsistent by
% 194.97/32.19  | |            sub-proof #543.
% 194.97/32.19  | | 
% 194.97/32.19  | Case 2:
% 194.97/32.19  | | 
% 194.97/32.19  | |   (11)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 194.97/32.19  | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.97/32.19  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.97/32.19  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 194.97/32.19  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.97/32.19  | |             all_57_5 & $i(all_57_5)))
% 194.97/32.19  | | 
% 194.97/32.19  | | ALPHA: (11) implies:
% 194.97/32.19  | |   (12)  op(e1, e2) = e1
% 194.97/32.19  | | 
% 194.97/32.19  | | REF_CLOSE: (1), (3), (7), (12) are inconsistent by sub-proof #1970.
% 194.97/32.19  | | 
% 194.97/32.19  | End of split
% 194.97/32.19  | 
% 194.97/32.19  End of proof
% 194.97/32.19  
% 194.97/32.19  Sub-proof #447 shows that the following formulas are inconsistent:
% 194.97/32.19  ----------------------------------------------------------------
% 194.97/32.19    (1)  op(e1, e3) = all_52_2
% 194.97/32.19    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.19           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.19           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.19                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.19               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.19               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.19           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.97/32.19           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.19               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.19           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.19               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.97/32.19           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.97/32.19           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.97/32.19               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.19               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.19               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.19         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.97/32.19           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.19           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.97/32.19               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.19             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.19         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.19           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.19           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.19                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.19               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.19               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.19           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.19           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.19             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.19           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.19               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.97/32.19           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.19           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.97/32.19               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.19               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.19               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.19         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.97/32.19           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.19           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.97/32.19               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.19             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.19         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.19           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.19           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.19                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.19               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.19               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.19           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.19             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.19               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.19           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.19               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.19           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.19           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.97/32.19               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.19               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.19               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.19         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.97/32.19           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.19           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.19               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.97/32.19             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.97/32.19         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.19             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.19           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.19               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.19             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.19         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.97/32.19             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.19           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.19               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.19             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.19         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.19             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.19           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.19               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.19             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.19         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.19             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.19           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.19               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.19             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.19    (3)  all_56_11 = e1
% 194.97/32.19    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.97/32.19         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.97/32.19    (5)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.19         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/32.19    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 194.97/32.19         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 194.97/32.19    (7)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.19         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.97/32.19    (8)   ~ (e3 = e2)
% 194.97/32.19    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.19    (10)  op(e3, e2) = all_52_4
% 194.97/32.19    (11)  op(e2, e2) = all_4_2
% 194.97/32.19    (12)  op(e2, e2) = e1
% 194.97/32.19    (13)  op(e3, e3) = e1
% 194.97/32.19    (14)  all_56_5 = e3
% 194.97/32.19    (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.19          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.19    (16)   ~ (all_52_4 = all_52_8)
% 194.97/32.19    (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.97/32.19          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.97/32.19    (18)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.97/32.19          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 194.97/32.19            e2)
% 194.97/32.19    (19)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 194.97/32.19          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 194.97/32.19    (20)   ~ (all_52_9 = e2)
% 194.97/32.19    (21)   ~ (all_52_8 = e1)
% 194.97/32.19    (22)  op(e0, e1) = all_52_11
% 194.97/32.19    (23)   ~ (all_4_2 = e3)
% 194.97/32.19    (24)  op(e3, e2) = e3
% 194.97/32.19    (25)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.97/32.19          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/32.19    (26)  op(e1, e1) = e2
% 194.97/32.19    (27)   ~ (e1 = e0)
% 194.97/32.19    (28)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 194.97/32.19          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 194.97/32.19    (29)  all_56_14 = e1
% 194.97/32.19    (30)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 194.97/32.19          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 194.97/32.19    (31)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/32.19              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 194.97/32.19                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.97/32.19                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.97/32.19    (32)   ~ (e2 = e1)
% 194.97/32.19    (33)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.19          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/32.19    (34)  op(e1, e0) = e1
% 194.97/32.19    (35)   ~ (all_52_2 = e1)
% 194.97/32.19    (36)  op(e2, e1) = all_52_9
% 194.97/32.19    (37)  all_56_4 = e0
% 194.97/32.19    (38)  all_56_1 = e3
% 194.97/32.19    (39)  op(e3, e1) = all_52_8
% 194.97/32.19    (40)  op(e0, e0) = e3
% 194.97/32.19    (41)   ~ (e3 = e1)
% 194.97/32.19    (42)   ~ (e2 = e0)
% 194.97/32.19    (43)   ~ (e3 = e0)
% 194.97/32.19    (44)   ~ (all_52_11 = e2)
% 194.97/32.19  
% 194.97/32.19  Begin of proof
% 194.97/32.19  | 
% 194.97/32.19  | BETA: splitting (28) gives:
% 194.97/32.19  | 
% 194.97/32.19  | Case 1:
% 194.97/32.19  | | 
% 194.97/32.19  | |   (45)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 194.97/32.19  | |           e3)
% 194.97/32.19  | | 
% 194.97/32.19  | | BETA: splitting (45) gives:
% 194.97/32.19  | | 
% 194.97/32.19  | | Case 1:
% 194.97/32.19  | | | 
% 194.97/32.19  | | |   (46)  all_56_0 = e3 & op(e3, e3) = e3
% 194.97/32.19  | | | 
% 194.97/32.19  | | | ALPHA: (46) implies:
% 194.97/32.19  | | |   (47)  op(e3, e3) = e3
% 194.97/32.19  | | | 
% 194.97/32.19  | | | REF_CLOSE: (6), (8), (9), (19), (21), (24), (25), (27), (32), (38), (39),
% 194.97/32.19  | | |            (41), (42), (43), (47) are inconsistent by sub-proof #1871.
% 194.97/32.19  | | | 
% 194.97/32.19  | | Case 2:
% 194.97/32.19  | | | 
% 194.97/32.19  | | |   (48)  all_56_2 = e3 & op(e2, e3) = e3
% 194.97/32.19  | | | 
% 194.97/32.19  | | | ALPHA: (48) implies:
% 194.97/32.19  | | |   (49)  all_56_2 = e3
% 194.97/32.19  | | | 
% 194.97/32.19  | | | REF_CLOSE: (5), (8), (9), (12), (14), (27), (32), (33), (42), (43), (49)
% 194.97/32.19  | | |            are inconsistent by sub-proof #453.
% 194.97/32.19  | | | 
% 194.97/32.19  | | End of split
% 194.97/32.19  | | 
% 194.97/32.19  | Case 2:
% 194.97/32.19  | | 
% 194.97/32.19  | |   (50)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 194.97/32.19  | |           e3)
% 194.97/32.19  | | 
% 194.97/32.19  | | BETA: splitting (50) gives:
% 194.97/32.19  | | 
% 194.97/32.19  | | Case 1:
% 194.97/32.19  | | | 
% 194.97/32.19  | | |   (51)  all_56_6 = e3 & op(e1, e3) = e3
% 194.97/32.19  | | | 
% 194.97/32.19  | | | ALPHA: (51) implies:
% 194.97/32.19  | | |   (52)  all_56_6 = e3
% 194.97/32.19  | | |   (53)  op(e1, e3) = e3
% 194.97/32.19  | | | 
% 194.97/32.19  | | | BETA: splitting (7) gives:
% 194.97/32.19  | | | 
% 194.97/32.19  | | | Case 1:
% 194.97/32.19  | | | | 
% 194.97/32.19  | | | |   (54)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2)
% 194.97/32.19  | | | |           = e2)
% 194.97/32.19  | | | | 
% 194.97/32.19  | | | | REF_CLOSE: (8), (9), (12), (24), (32), (54) are inconsistent by
% 194.97/32.19  | | | |            sub-proof #644.
% 194.97/32.19  | | | | 
% 194.97/32.19  | | | Case 2:
% 194.97/32.19  | | | | 
% 194.97/32.19  | | | |   (55)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2)
% 194.97/32.19  | | | |           = e2)
% 194.97/32.19  | | | | 
% 194.97/32.19  | | | | BETA: splitting (55) gives:
% 194.97/32.19  | | | | 
% 194.97/32.19  | | | | Case 1:
% 194.97/32.19  | | | | | 
% 194.97/32.19  | | | | |   (56)  all_56_7 = e2 & op(e1, e2) = e2
% 194.97/32.19  | | | | | 
% 194.97/32.19  | | | | | ALPHA: (56) implies:
% 194.97/32.19  | | | | |   (57)  all_56_7 = e2
% 194.97/32.19  | | | | | 
% 194.97/32.19  | | | | | BETA: splitting (17) gives:
% 194.97/32.19  | | | | | 
% 194.97/32.19  | | | | | Case 1:
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | |   (58)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1,
% 194.97/32.19  | | | | | |             e2) = e0)
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | | BETA: splitting (58) gives:
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | | Case 1:
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | |   (59)  all_56_6 = e0 & op(e1, e3) = e0
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | | REF_CLOSE: (43), (52), (59) are inconsistent by sub-proof #1856.
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | Case 2:
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | |   (60)  all_56_7 = e0 & op(e1, e2) = e0
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | | REF_CLOSE: (42), (57), (60) are inconsistent by sub-proof #873.
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | End of split
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | Case 2:
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | |   (61)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1,
% 194.97/32.19  | | | | | |             e0) = e0)
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | | BETA: splitting (61) gives:
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | | Case 1:
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | |   (62)  all_56_8 = e0 & op(e1, e1) = e0
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | | ALPHA: (62) implies:
% 194.97/32.19  | | | | | | |   (63)  op(e1, e1) = e0
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | | REF_CLOSE: (8), (9), (15), (29), (30), (32), (37), (41), (42),
% 194.97/32.19  | | | | | | |            (43), (63) are inconsistent by sub-proof #1810.
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | Case 2:
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | |   (64)  all_56_11 = e0 & op(e1, e0) = e0
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | | ALPHA: (64) implies:
% 194.97/32.19  | | | | | | |   (65)  all_56_11 = e0
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | | REF_CLOSE: (3), (27), (65) are inconsistent by sub-proof #479.
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | End of split
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | End of split
% 194.97/32.19  | | | | | 
% 194.97/32.19  | | | | Case 2:
% 194.97/32.19  | | | | | 
% 194.97/32.19  | | | | |   (66)  all_56_13 = e2 & op(e0, e2) = e2
% 194.97/32.19  | | | | | 
% 194.97/32.19  | | | | | ALPHA: (66) implies:
% 194.97/32.19  | | | | |   (67)  all_56_13 = e2
% 194.97/32.19  | | | | | 
% 194.97/32.19  | | | | | BETA: splitting (31) gives:
% 194.97/32.19  | | | | | 
% 194.97/32.19  | | | | | Case 1:
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | |   (68)  all_56_15 = e0 & op(e0, e0) = e0
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | | ALPHA: (68) implies:
% 194.97/32.19  | | | | | |   (69)  op(e0, e0) = e0
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | | REF_CLOSE: (9), (40), (43), (69) are inconsistent by sub-proof
% 194.97/32.19  | | | | | |            #1947.
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | Case 2:
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | |   (70)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 194.97/32.19  | | | | | |             op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 194.97/32.19  | | | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.97/32.19  | | | | | |             op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | | ALPHA: (70) implies:
% 194.97/32.19  | | | | | |   (71)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.97/32.19  | | | | | |           op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | | BETA: splitting (2) gives:
% 194.97/32.19  | | | | | | 
% 194.97/32.19  | | | | | | Case 1:
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | |   (72)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 194.97/32.19  | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 194.97/32.19  | | | | | | |             e2) = all_57_12 & $i(all_57_12) & ((all_57_14 = e2 &
% 194.97/32.19  | | | | | | |               op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.19  | | | | | | |               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.19  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.97/32.19  | | | | | | |               = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 194.97/32.19  | | | | | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10
% 194.97/32.19  | | | | | | |           & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.19  | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 194.97/32.19  | | | | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.19  | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 194.97/32.19  | | | | | | |             | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.19  | | | | | | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.97/32.19  | | | | | | |           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 194.97/32.19  | | | | | | |           op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 194.97/32.19  | | | | | | |           & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.19  | | | | | | |                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.19  | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 194.97/32.19  | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.19  | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 194.97/32.19  | | | | | | |             e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 194.97/32.19  | | | | | | |           op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 194.97/32.19  | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.97/32.19  | | | | | | |               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 &
% 194.97/32.19  | | | | | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.19  | | | | | | |               = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 &
% 194.97/32.19  | | | | | | |           all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.19  | | | | | | |           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 194.97/32.19  | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2,
% 194.97/32.19  | | | | | | |                 e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.19  | | | | | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 &
% 194.97/32.19  | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 194.97/32.19  | | | | | | |               = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.97/32.19  | | | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10
% 194.97/32.19  | | | | | | |           & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.19  | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | (
% 194.97/32.19  | | | | | | |               ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.19  | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 194.97/32.19  | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.19  | | | | | | |               $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.97/32.19  | | | | | | |           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 194.97/32.19  | | | | | | |           op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 194.97/32.19  | | | | | | |           & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 194.97/32.19  | | | | | | |                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.19  | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 194.97/32.19  | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.19  | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2,
% 194.97/32.19  | | | | | | |             e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 &
% 194.97/32.19  | | | | | | |           op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 194.97/32.19  | | | | | | |               op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.97/32.19  | | | | | | |               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 &
% 194.97/32.19  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 194.97/32.19  | | | | | | |               = all_57_5 & $i(all_57_5))))
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | | BETA: splitting (72) gives:
% 194.97/32.19  | | | | | | | 
% 194.97/32.19  | | | | | | | Case 1:
% 194.97/32.19  | | | | | | | | 
% 194.97/32.20  | | | | | | | |   (73)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 194.97/32.20  | | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 194.97/32.20  | | | | | | | |           op(e2, e2) = all_57_12 & $i(all_57_12) & ((all_57_14 =
% 194.97/32.20  | | | | | | | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.20  | | | | | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.20  | | | | | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 194.97/32.20  | | | | | | | |                 e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.20  | | | | | | | |         (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3,
% 194.97/32.20  | | | | | | | |             e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2
% 194.97/32.20  | | | | | | | |           & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 = e3 &
% 194.97/32.20  | | | | | | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 194.97/32.20  | | | | | | | |                 e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 194.97/32.20  | | | | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.20  | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.20  | | | | | | | |         (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3,
% 194.97/32.20  | | | | | | | |             e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.97/32.20  | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 =
% 194.97/32.20  | | | | | | | |               e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.20  | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.20  | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 194.97/32.20  | | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.20  | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 194.97/32.20  | | | | | | | |             e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1
% 194.97/32.20  | | | | | | | |           & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 194.97/32.20  | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.97/32.20  | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 194.97/32.20  | | | | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.20  | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | | BETA: splitting (73) gives:
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | |   (74)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.97/32.20  | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3
% 194.97/32.20  | | | | | | | | |           & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.97/32.20  | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 194.97/32.20  | | | | | | | | |                 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 194.97/32.20  | | | | | | | | |           & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.97/32.20  | | | | | | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.20  | | | | | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2
% 194.97/32.20  | | | | | | | | |           & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.20  | | | | | | | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.20  | | | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 194.97/32.20  | | | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.20  | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.20  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.20  | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | REF_CLOSE: (9), (12), (13), (32), (41), (74) are inconsistent
% 194.97/32.20  | | | | | | | | |            by sub-proof #1185.
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | |   (75)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.97/32.20  | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3
% 194.97/32.20  | | | | | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.20  | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 194.97/32.20  | | | | | | | | |                 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 194.97/32.20  | | | | | | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.20  | | | | | | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.20  | | | | | | | | |               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 194.97/32.20  | | | | | | | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 194.97/32.20  | | | | | | | | |             e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.20  | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3)
% 194.97/32.20  | | | | | | | | |             | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.20  | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 194.97/32.20  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.20  | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | REF_CLOSE: (1), (9), (10), (16), (24), (35), (39), (75) are
% 194.97/32.20  | | | | | | | | |            inconsistent by sub-proof #459.
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | |   (76)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3,
% 194.97/32.20  | | | | | | | |             e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 194.97/32.20  | | | | | | | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12 =
% 194.97/32.20  | | | | | | | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.20  | | | | | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.20  | | | | | | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 =
% 194.97/32.20  | | | | | | | |                 e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.20  | | | | | | | |         | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.97/32.20  | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3)
% 194.97/32.20  | | | | | | | |           = e0 & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 =
% 194.97/32.20  | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.20  | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.20  | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 194.97/32.20  | | | | | | | |                 e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.97/32.20  | | | | | | | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2,
% 194.97/32.20  | | | | | | | |             e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.20  | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 =
% 194.97/32.20  | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.97/32.20  | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.20  | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 194.97/32.20  | | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.20  | | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2,
% 194.97/32.20  | | | | | | | |             e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1
% 194.97/32.20  | | | | | | | |           & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 194.97/32.20  | | | | | | | |               op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.20  | | | | | | | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 194.97/32.20  | | | | | | | |               e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.20  | | | | | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | | BETA: splitting (76) gives:
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | |   (77)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.97/32.20  | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3
% 194.97/32.20  | | | | | | | | |           & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.20  | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.97/32.20  | | | | | | | | |                 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.20  | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 194.97/32.20  | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.20  | | | | | | | | |               all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 194.97/32.20  | | | | | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 194.97/32.20  | | | | | | | | |           all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.20  | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 194.97/32.20  | | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.97/32.20  | | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14
% 194.97/32.20  | | | | | | | | |               = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.20  | | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))))
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | BETA: splitting (77) gives:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | |   (78)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.97/32.20  | | | | | | | | | |         op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3
% 194.97/32.20  | | | | | | | | | |         & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.20  | | | | | | | | | |         ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 194.97/32.20  | | | | | | | | | |               = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.20  | | | | | | | | | |             $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 194.97/32.20  | | | | | | | | | |             = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.20  | | | | | | | | | |             all_57_13 & $i(all_57_13)))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | ALPHA: (78) implies:
% 194.97/32.20  | | | | | | | | | |   (79)  op(e3, e3) = e0
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | REF_CLOSE: (9), (13), (27), (79) are inconsistent by
% 194.97/32.20  | | | | | | | | | |            sub-proof #1937.
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | |   (80)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.97/32.20  | | | | | | | | | |         op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 194.97/32.20  | | | | | | | | | |           e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.97/32.20  | | | | | | | | | |         ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 194.97/32.20  | | | | | | | | | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0)))
% 194.97/32.20  | | | | | | | | | |         & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.20  | | | | | | | | | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.20  | | | | | | | | | |             $i(all_57_1)))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | ALPHA: (80) implies:
% 194.97/32.20  | | | | | | | | | |   (81)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.97/32.20  | | | | | | | | | |             e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | BETA: splitting (4) gives:
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | |   (82)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 194.97/32.20  | | | | | | | | | | |           & op(e2, e3) = e2)
% 194.97/32.20  | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | BETA: splitting (82) gives:
% 194.97/32.20  | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | |   (83)  all_56_0 = e2 & op(e3, e3) = e2
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | | ALPHA: (83) implies:
% 194.97/32.20  | | | | | | | | | | | |   (84)  op(e3, e3) = e2
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | | REF_CLOSE: (9), (13), (32), (84) are inconsistent by
% 194.97/32.20  | | | | | | | | | | | |            sub-proof #1934.
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | |   (85)  all_56_2 = e2 & op(e2, e3) = e2
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | | ALPHA: (85) implies:
% 194.97/32.20  | | | | | | | | | | | |   (86)  op(e2, e3) = e2
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | | REF_CLOSE: (9), (11), (23), (81), (86) are inconsistent by
% 194.97/32.20  | | | | | | | | | | | |            sub-proof #534.
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | |   (87)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 194.97/32.20  | | | | | | | | | | |           e2 & op(e0, e3) = e2)
% 194.97/32.20  | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | BETA: splitting (87) gives:
% 194.97/32.20  | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | |   (88)  all_56_6 = e2 & op(e1, e3) = e2
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | | ALPHA: (88) implies:
% 194.97/32.20  | | | | | | | | | | | |   (89)  op(e1, e3) = e2
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | | REF_CLOSE: (8), (9), (53), (89) are inconsistent by sub-proof
% 194.97/32.20  | | | | | | | | | | | |            #1371.
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | |   (90)  all_56_12 = e2 & op(e0, e3) = e2
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | | ALPHA: (90) implies:
% 194.97/32.20  | | | | | | | | | | | |   (91)  all_56_12 = e2
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | | REF_CLOSE: (27), (29), (42), (67), (71), (91) are
% 194.97/32.20  | | | | | | | | | | | |            inconsistent by sub-proof #1206.
% 194.97/32.20  | | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | |   (92)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.97/32.20  | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2
% 194.97/32.20  | | | | | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.20  | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 194.97/32.20  | | | | | | | | |                 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)))
% 194.97/32.20  | | | | | | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.20  | | | | | | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.20  | | | | | | | | |               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 194.97/32.20  | | | | | | | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 194.97/32.20  | | | | | | | | |             e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.97/32.20  | | | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2)
% 194.97/32.20  | | | | | | | | |             | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.20  | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 194.97/32.20  | | | | | | | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.97/32.20  | | | | | | | | |               all_57_5 & $i(all_57_5))))
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | BETA: splitting (92) gives:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | |   (93)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.97/32.20  | | | | | | | | | |         op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2
% 194.97/32.20  | | | | | | | | | |         & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.20  | | | | | | | | | |         ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 194.97/32.20  | | | | | | | | | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)))
% 194.97/32.20  | | | | | | | | | |         & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.20  | | | | | | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.20  | | | | | | | | | |             $i(all_57_8)))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | ALPHA: (93) implies:
% 194.97/32.20  | | | | | | | | | |   (94)  op(e2, e1) = e2
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | REF_CLOSE: (9), (20), (36), (94) are inconsistent by
% 194.97/32.20  | | | | | | | | | |            sub-proof #1942.
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | |   (95)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.97/32.20  | | | | | | | | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 194.97/32.20  | | | | | | | | | |           e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.20  | | | | | | | | | |         ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.97/32.20  | | | | | | | | | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3)))
% 194.97/32.20  | | | | | | | | | |         & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 194.97/32.20  | | | | | | | | | |             (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.20  | | | | | | | | | |             $i(all_57_5)))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | ALPHA: (95) implies:
% 194.97/32.20  | | | | | | | | | |   (96)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.97/32.20  | | | | | | | | | |             e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | REF_CLOSE: (9), (13), (24), (32), (96) are inconsistent by
% 194.97/32.20  | | | | | | | | | |            sub-proof #1888.
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | End of split
% 194.97/32.20  | | | | | | | 
% 194.97/32.20  | | | | | | Case 2:
% 194.97/32.20  | | | | | | | 
% 194.97/32.20  | | | | | | |   (97)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 194.97/32.20  | | | | | | |             e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 194.97/32.20  | | | | | | |             e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 194.97/32.20  | | | | | | |               op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 194.97/32.20  | | | | | | |               = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.20  | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 194.97/32.20  | | | | | | |               = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.97/32.20  | | | | | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12
% 194.97/32.20  | | | | | | |           & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.20  | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | (
% 194.97/32.20  | | | | | | |               ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.20  | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2)
% 194.97/32.20  | | | | | | |             | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.20  | | | | | | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.20  | | | | | | |           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 &
% 194.97/32.20  | | | | | | |           op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15)
% 194.97/32.20  | | | | | | |           & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.20  | | | | | | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.20  | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.20  | | | | | | |                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.20  | | | | | | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1,
% 194.97/32.20  | | | | | | |             e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 194.97/32.20  | | | | | | |           op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 &
% 194.97/32.20  | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.20  | | | | | | |               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 194.97/32.20  | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.20  | | | | | | |               = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 &
% 194.97/32.20  | | | | | | |           op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.20  | | | | | | |             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.20  | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 194.97/32.20  | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.20  | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 194.97/32.20  | | | | | | |             | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 194.97/32.20  | | | | | | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2
% 194.97/32.20  | | | | | | |           & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 194.97/32.20  | | | | | | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.20  | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.20  | | | | | | |                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.20  | | | | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 194.97/32.20  | | | | | | |                 e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.20  | | | | | | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 194.97/32.20  | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.20  | | | | | | |               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 194.97/32.20  | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.20  | | | | | | |               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.97/32.20  | | | | | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 194.97/32.20  | | | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 194.97/32.20  | | | | | | |           op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.20  | | | | | | |             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.20  | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0)
% 194.97/32.20  | | | | | | |             | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.20  | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 194.97/32.20  | | | | | | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.20  | | | | | | |               & $i(all_57_13))))
% 194.97/32.20  | | | | | | | 
% 194.97/32.20  | | | | | | | BETA: splitting (97) gives:
% 194.97/32.20  | | | | | | | 
% 194.97/32.20  | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | |   (98)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.97/32.20  | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 194.97/32.20  | | | | | | | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 =
% 194.97/32.20  | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.97/32.20  | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.20  | | | | | | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 =
% 194.97/32.20  | | | | | | | |                 e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.20  | | | | | | | |         | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.97/32.20  | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2)
% 194.97/32.20  | | | | | | | |           = e0 & op(e0, e0) = e2 & $i(all_57_12) & ((all_57_10 =
% 194.97/32.20  | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.97/32.20  | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.20  | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.20  | | | | | | | |                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.97/32.20  | | | | | | | |         (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.97/32.20  | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.20  | | | | | | | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 =
% 194.97/32.20  | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.97/32.20  | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.20  | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.20  | | | | | | | |                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))))
% 194.97/32.20  | | | | | | | |         | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.97/32.20  | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1)
% 194.97/32.20  | | | | | | | |           = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 =
% 194.97/32.20  | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.97/32.20  | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.20  | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.20  | | | | | | | |                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | | BETA: splitting (98) gives:
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | |   (99)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.97/32.20  | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2
% 194.97/32.20  | | | | | | | | |           & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.20  | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 194.97/32.20  | | | | | | | | |                 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)))
% 194.97/32.20  | | | | | | | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 194.97/32.20  | | | | | | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.20  | | | | | | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 =
% 194.97/32.20  | | | | | | | | |           e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 194.97/32.20  | | | | | | | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2
% 194.97/32.20  | | | | | | | | |           & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.20  | | | | | | | | |               e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.20  | | | | | | | | |               all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 194.97/32.20  | | | | | | | | |               op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 194.97/32.20  | | | | | | | | |                 e2) = all_57_4 & $i(all_57_4))))
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | BETA: splitting (99) gives:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | |   (100)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.97/32.20  | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2
% 194.97/32.20  | | | | | | | | | |          & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.20  | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 194.97/32.20  | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.20  | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 194.97/32.20  | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 194.97/32.20  | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | ALPHA: (100) implies:
% 194.97/32.20  | | | | | | | | | |   (101)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 194.97/32.20  | | | | | | | | | |              = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | REF_CLOSE: (9), (26), (34), (42), (101) are inconsistent by
% 194.97/32.20  | | | | | | | | | |            sub-proof #496.
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | |   (102)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.97/32.20  | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 194.97/32.20  | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.97/32.20  | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.97/32.20  | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.20  | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 194.97/32.20  | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 194.97/32.20  | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | ALPHA: (102) implies:
% 194.97/32.20  | | | | | | | | | |   (103)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 194.97/32.20  | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | REF_CLOSE: (9), (13), (24), (32), (103) are inconsistent by
% 194.97/32.20  | | | | | | | | | |            sub-proof #1888.
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | |   (104)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.97/32.20  | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1
% 194.97/32.20  | | | | | | | | |            & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.20  | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 194.97/32.20  | | | | | | | | |                  = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.20  | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 194.97/32.20  | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.20  | | | | | | | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 194.97/32.20  | | | | | | | | |            all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 194.97/32.20  | | | | | | | | |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 194.97/32.20  | | | | | | | | |            op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1
% 194.97/32.20  | | | | | | | | |                & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.97/32.20  | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.20  | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 194.97/32.20  | | | | | | | | |                  = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.20  | | | | | | | | |                $i(all_57_7))))
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | BETA: splitting (104) gives:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | |   (105)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.97/32.20  | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1
% 194.97/32.20  | | | | | | | | | |          & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.20  | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 194.97/32.20  | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.20  | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 194.97/32.20  | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 194.97/32.20  | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | ALPHA: (105) implies:
% 194.97/32.20  | | | | | | | | | |   (106)  op(e1, e1) = e0
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | REF_CLOSE: (8), (9), (15), (29), (30), (32), (37), (41),
% 194.97/32.20  | | | | | | | | | |            (42), (43), (106) are inconsistent by sub-proof
% 194.97/32.20  | | | | | | | | | |            #1810.
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | |   (107)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.97/32.20  | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 194.97/32.20  | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.20  | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 194.97/32.20  | | | | | | | | | |                = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.20  | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 194.97/32.20  | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 194.97/32.20  | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | ALPHA: (107) implies:
% 194.97/32.20  | | | | | | | | | |   (108)  op(e0, e0) = e1
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | | REF_CLOSE: (9), (40), (41), (108) are inconsistent by
% 194.97/32.20  | | | | | | | | | |            sub-proof #1392.
% 194.97/32.20  | | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | |   (109)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 194.97/32.20  | | | | | | | |                op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 194.97/32.20  | | | | | | | |                  e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 194.97/32.20  | | | | | | | |                e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.20  | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.20  | | | | | | | |            ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 194.97/32.20  | | | | | | | |                  e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.20  | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 &
% 194.97/32.20  | | | | | | | |                op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.20  | | | | | | | |                  e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 194.97/32.20  | | | | | | | |                e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.20  | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 194.97/32.20  | | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 194.97/32.20  | | | | | | | |                  e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.20  | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 194.97/32.20  | | | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 194.97/32.20  | | | | | | | |                  e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 194.97/32.20  | | | | | | | |                e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.20  | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.20  | | | | | | | |            ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 194.97/32.20  | | | | | | | |                  e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.20  | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 &
% 194.97/32.20  | | | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 194.97/32.20  | | | | | | | |                  e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 194.97/32.20  | | | | | | | |                e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.20  | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.20  | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 194.97/32.20  | | | | | | | |                  = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.20  | | | | | | | |                $i(all_57_13))))
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | | BETA: splitting (109) gives:
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | | Case 1:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | |   (110)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3
% 194.97/32.20  | | | | | | | | |                & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.20  | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.20  | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 194.97/32.20  | | | | | | | | |                  = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.20  | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.97/32.20  | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.20  | | | | | | | | |                all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 194.97/32.20  | | | | | | | | |            op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.20  | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.20  | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 194.97/32.20  | | | | | | | | |                op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 194.97/32.20  | | | | | | | | |                  e2) = all_57_4 & $i(all_57_4))) & ((all_57_15
% 194.97/32.20  | | | | | | | | |                = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.20  | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | REF_CLOSE: (6), (8), (9), (13), (19), (21), (24), (25), (27),
% 194.97/32.20  | | | | | | | | |            (32), (38), (39), (41), (42), (43), (110) are
% 194.97/32.20  | | | | | | | | |            inconsistent by sub-proof #1870.
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | Case 2:
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | |   (111)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1
% 194.97/32.20  | | | | | | | | |                & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.97/32.20  | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.20  | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 194.97/32.20  | | | | | | | | |                  = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.20  | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 194.97/32.20  | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 194.97/32.20  | | | | | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 194.97/32.20  | | | | | | | | |            op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 194.97/32.20  | | | | | | | | |                e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 194.97/32.20  | | | | | | | | |                all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 194.97/32.20  | | | | | | | | |                op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.20  | | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.20  | | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 194.97/32.20  | | | | | | | | |                (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.20  | | | | | | | | |                $i(all_57_13))))
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | | REF_CLOSE: (9), (26), (32), (34), (42), (111) are inconsistent
% 194.97/32.20  | | | | | | | | |            by sub-proof #495.
% 194.97/32.20  | | | | | | | | | 
% 194.97/32.20  | | | | | | | | End of split
% 194.97/32.20  | | | | | | | | 
% 194.97/32.20  | | | | | | | End of split
% 194.97/32.20  | | | | | | | 
% 194.97/32.20  | | | | | | End of split
% 194.97/32.20  | | | | | | 
% 194.97/32.20  | | | | | End of split
% 194.97/32.20  | | | | | 
% 194.97/32.20  | | | | End of split
% 194.97/32.20  | | | | 
% 194.97/32.20  | | | End of split
% 194.97/32.20  | | | 
% 194.97/32.20  | | Case 2:
% 194.97/32.20  | | | 
% 194.97/32.20  | | |   (112)  all_56_12 = e3 & op(e0, e3) = e3
% 194.97/32.20  | | | 
% 194.97/32.20  | | | ALPHA: (112) implies:
% 194.97/32.20  | | |   (113)  all_56_12 = e3
% 194.97/32.20  | | | 
% 194.97/32.20  | | | BETA: splitting (18) gives:
% 194.97/32.20  | | | 
% 194.97/32.20  | | | Case 1:
% 194.97/32.20  | | | | 
% 194.97/32.20  | | | |   (114)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 194.97/32.20  | | | |              e2) = e2)
% 194.97/32.20  | | | | 
% 194.97/32.20  | | | | BETA: splitting (114) gives:
% 194.97/32.20  | | | | 
% 194.97/32.20  | | | | Case 1:
% 194.97/32.20  | | | | | 
% 194.97/32.20  | | | | |   (115)  all_56_12 = e2 & op(e0, e3) = e2
% 194.97/32.20  | | | | | 
% 194.97/32.20  | | | | | REF_CLOSE: (8), (113), (115) are inconsistent by sub-proof #1848.
% 194.97/32.20  | | | | | 
% 194.97/32.20  | | | | Case 2:
% 194.97/32.20  | | | | | 
% 194.97/32.20  | | | | |   (116)  all_56_13 = e2 & op(e0, e2) = e2
% 194.97/32.20  | | | | | 
% 194.97/32.20  | | | | | ALPHA: (116) implies:
% 194.97/32.20  | | | | |   (117)  all_56_13 = e2
% 194.97/32.20  | | | | | 
% 194.97/32.20  | | | | | REF_CLOSE: (9), (27), (29), (31), (40), (42), (43), (113), (117) are
% 194.97/32.20  | | | | |            inconsistent by sub-proof #448.
% 194.97/32.20  | | | | | 
% 194.97/32.20  | | | | End of split
% 194.97/32.20  | | | | 
% 194.97/32.20  | | | Case 2:
% 194.97/32.20  | | | | 
% 194.97/32.20  | | | |   (118)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 194.97/32.20  | | | |              e0) = e2)
% 194.97/32.20  | | | | 
% 194.97/32.20  | | | | REF_CLOSE: (8), (9), (22), (40), (44), (118) are inconsistent by
% 194.97/32.20  | | | |            sub-proof #469.
% 194.97/32.20  | | | | 
% 194.97/32.20  | | | End of split
% 194.97/32.20  | | | 
% 194.97/32.20  | | End of split
% 194.97/32.20  | | 
% 194.97/32.20  | End of split
% 194.97/32.20  | 
% 194.97/32.20  End of proof
% 194.97/32.20  
% 194.97/32.20  Sub-proof #448 shows that the following formulas are inconsistent:
% 194.97/32.20  ----------------------------------------------------------------
% 194.97/32.20    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.20    (2)  all_56_12 = e3
% 194.97/32.20    (3)  all_56_13 = e2
% 194.97/32.20    (4)   ~ (e1 = e0)
% 194.97/32.20    (5)  all_56_14 = e1
% 194.97/32.20    (6)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/32.20             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 194.97/32.20               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 194.97/32.20               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 194.97/32.20    (7)  op(e0, e0) = e3
% 194.97/32.20    (8)   ~ (e2 = e0)
% 194.97/32.20    (9)   ~ (e3 = e0)
% 194.97/32.20  
% 194.97/32.20  Begin of proof
% 194.97/32.20  | 
% 194.97/32.20  | BETA: splitting (6) gives:
% 194.97/32.20  | 
% 194.97/32.20  | Case 1:
% 194.97/32.20  | | 
% 194.97/32.20  | |   (10)  all_56_15 = e0 & op(e0, e0) = e0
% 194.97/32.20  | | 
% 194.97/32.20  | | ALPHA: (10) implies:
% 194.97/32.20  | |   (11)  op(e0, e0) = e0
% 194.97/32.20  | | 
% 194.97/32.20  | | REF_CLOSE: (1), (7), (9), (11) are inconsistent by sub-proof #1947.
% 194.97/32.20  | | 
% 194.97/32.20  | Case 2:
% 194.97/32.20  | | 
% 194.97/32.20  | |   (12)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 194.97/32.20  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 194.97/32.20  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 194.97/32.20  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 194.97/32.20  | | 
% 194.97/32.20  | | ALPHA: (12) implies:
% 194.97/32.20  | |   (13)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 194.97/32.20  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.97/32.21  | | 
% 194.97/32.21  | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (13) are inconsistent by sub-proof
% 194.97/32.21  | |            #1124.
% 194.97/32.21  | | 
% 194.97/32.21  | End of split
% 194.97/32.21  | 
% 194.97/32.21  End of proof
% 194.97/32.21  
% 194.97/32.21  Sub-proof #449 shows that the following formulas are inconsistent:
% 194.97/32.21  ----------------------------------------------------------------
% 194.97/32.21    (1)   ~ (all_52_4 = e3)
% 194.97/32.21    (2)  all_54_0 = all_6_2
% 194.97/32.21    (3)  op(e2, e1) = e3
% 194.97/32.21    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.21           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.21           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.21                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.21               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.21               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.21           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.97/32.21           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.21               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.21           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.21               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.97/32.21           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.97/32.21           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.97/32.21               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.21               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.21               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.21         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.97/32.21           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.21           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.97/32.21               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.21             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.21         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.21           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.21           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.21                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.21               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.21               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.21           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.21           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.21             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.21           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.21               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.97/32.21           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.21           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.97/32.21               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.21               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.21               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.21         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.97/32.21           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.21           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.97/32.21               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.21             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.21         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.21           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.21           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.21                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.21               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.21               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.21           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.21             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.21               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.21           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.21               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.21           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.21           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.97/32.21               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.21               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.21               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.21         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.97/32.21           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.21           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.21               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.97/32.21             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.97/32.21         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.21             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.21           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.21               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.21             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.21         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.97/32.21             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.21           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.21               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.21             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.21         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.21             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.21           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.21               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.21             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.21         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.21             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.21           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.21               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.21             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.21    (5)  op(e1, e2) = all_52_6
% 194.97/32.21    (6)  ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 & op(e1, e2) = all_34_1
% 194.97/32.21           & $i(all_34_0) & $i(all_34_1)) | ( ~ (all_34_1 = e3) & op(e1, e2) =
% 194.97/32.21           all_34_1 & $i(all_34_1))
% 194.97/32.21    (7)  op(e2, e1) = all_44_1
% 194.97/32.21    (8)  op(e3, e3) = all_6_2
% 194.97/32.21    (9)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.21         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/32.21    (10)  op(e1, e2) = e3
% 194.97/32.21    (11)  op(e1, e2) = all_10_1
% 194.97/32.21    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.97/32.21          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.97/32.21    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.21            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.21    (14)   ~ (all_6_2 = e0)
% 194.97/32.21    (15)  op(e3, e2) = all_52_4
% 194.97/32.21    (16)  op(e2, e2) = e1
% 194.97/32.21    (17)  all_56_5 = e3
% 194.97/32.21    (18)   ~ (all_52_7 = all_52_11)
% 194.97/32.21    (19)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 194.97/32.21    (20)   ~ (all_52_3 = all_52_7)
% 194.97/32.21    (21)  all_54_13 = all_52_7
% 194.97/32.21    (22)   ~ (all_52_4 = all_52_7)
% 194.97/32.21    (23)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.97/32.21          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.97/32.21    (24)  op(e0, e3) = all_52_3
% 194.97/32.21    (25)   ~ (all_44_0 = e0)
% 194.97/32.21    (26)   ~ (all_52_9 = e2)
% 194.97/32.21    (27)  op(all_44_1, e2) = all_44_0
% 194.97/32.21    (28)   ~ (all_52_7 = e1)
% 194.97/32.21    (29)  op(e3, e3) = e3
% 194.97/32.21    (30)  all_56_7 = e3
% 194.97/32.21    (31)  op(e1, e1) = e2
% 194.97/32.21    (32)   ~ (all_6_2 = e1)
% 194.97/32.21    (33)   ~ (all_52_11 = e3)
% 194.97/32.21    (34)   ~ (all_52_4 = e1)
% 194.97/32.21    (35)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/32.21    (36)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/32.21    (37)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.21          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/32.21    (38)  all_54_14 = all_52_11
% 194.97/32.21    (39)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 194.97/32.21    (40)   ~ (all_52_7 = e3)
% 194.97/32.21    (41)  op(e2, e1) = all_52_9
% 194.97/32.21    (42)  op(e0, e0) = e3
% 194.97/32.21    (43)   ~ (e3 = e1)
% 194.97/32.21    (44)  all_54_1 = all_52_4
% 194.97/32.21    (45)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 194.97/32.21          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 194.97/32.21    (46)   ~ (all_52_6 = e1)
% 194.97/32.21    (47)  op(e0, e2) = all_52_7
% 194.97/32.21    (48)   ~ (all_6_2 = e2)
% 194.97/32.21    (49)   ~ (all_52_3 = all_52_11)
% 194.97/32.21    (50)   ~ (all_52_11 = e2)
% 194.97/32.21  
% 194.97/32.21  Begin of proof
% 194.97/32.21  | 
% 194.97/32.21  | GROUND_INST: instantiating (13) with e3, all_10_1, e2, e1, simplifying with
% 194.97/32.21  |              (10), (11) gives:
% 194.97/32.21  |   (51)  all_10_1 = e3
% 194.97/32.21  | 
% 194.97/32.21  | GROUND_INST: instantiating (13) with e3, all_44_1, e1, e2, simplifying with
% 194.97/32.21  |              (3), (7) gives:
% 194.97/32.21  |   (52)  all_44_1 = e3
% 194.97/32.21  | 
% 194.97/32.21  | REDUCE: (27), (52) imply:
% 194.97/32.21  |   (53)  op(e3, e2) = all_44_0
% 194.97/32.21  | 
% 194.97/32.21  | BETA: splitting (6) gives:
% 194.97/32.21  | 
% 194.97/32.21  | Case 1:
% 194.97/32.21  | | 
% 194.97/32.21  | |   (54)   ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 & op(e1, e2) =
% 194.97/32.21  | |         all_34_1 & $i(all_34_0) & $i(all_34_1)
% 194.97/32.21  | | 
% 194.97/32.21  | | ALPHA: (54) implies:
% 194.97/32.21  | |   (55)  op(e1, e2) = all_34_1
% 194.97/32.21  | | 
% 194.97/32.21  | | GROUND_INST: instantiating (13) with e3, all_34_1, e2, e1, simplifying with
% 194.97/32.21  | |              (10), (55) gives:
% 194.97/32.21  | |   (56)  all_34_1 = e3
% 194.97/32.21  | | 
% 194.97/32.21  | | GROUND_INST: instantiating (13) with all_52_4, all_44_0, e2, e3, simplifying
% 194.97/32.21  | |              with (15), (53) gives:
% 194.97/32.21  | |   (57)  all_52_4 = all_44_0
% 194.97/32.21  | | 
% 194.97/32.21  | | COMBINE_EQS: (44), (57) imply:
% 194.97/32.21  | |   (58)  all_54_1 = all_44_0
% 194.97/32.21  | | 
% 194.97/32.21  | | REDUCE: (22), (57) imply:
% 194.97/32.21  | |   (59)   ~ (all_52_7 = all_44_0)
% 194.97/32.21  | | 
% 194.97/32.21  | | SIMP: (59) implies:
% 194.97/32.21  | |   (60)   ~ (all_52_7 = all_44_0)
% 194.97/32.21  | | 
% 194.97/32.21  | | REDUCE: (1), (57) imply:
% 194.97/32.21  | |   (61)   ~ (all_44_0 = e3)
% 194.97/32.21  | | 
% 194.97/32.21  | | REDUCE: (34), (57) imply:
% 194.97/32.21  | |   (62)   ~ (all_44_0 = e1)
% 194.97/32.21  | | 
% 194.97/32.21  | | BETA: splitting (39) gives:
% 194.97/32.21  | | 
% 194.97/32.21  | | Case 1:
% 194.97/32.21  | | | 
% 194.97/32.21  | | |   (63)  all_54_1 = e3
% 194.97/32.21  | | | 
% 194.97/32.21  | | | COMBINE_EQS: (58), (63) imply:
% 194.97/32.21  | | |   (64)  all_44_0 = e3
% 194.97/32.21  | | | 
% 194.97/32.21  | | | REDUCE: (61), (64) imply:
% 194.97/32.21  | | |   (65)  $false
% 194.97/32.21  | | | 
% 194.97/32.21  | | | CLOSE: (65) is inconsistent.
% 194.97/32.21  | | | 
% 194.97/32.21  | | Case 2:
% 194.97/32.21  | | | 
% 194.97/32.21  | | |   (66)   ~ (all_54_1 = e3)
% 194.97/32.21  | | |   (67)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 194.97/32.21  | | | 
% 194.97/32.21  | | | BETA: splitting (67) gives:
% 194.97/32.21  | | | 
% 194.97/32.21  | | | Case 1:
% 194.97/32.21  | | | | 
% 194.97/32.21  | | | |   (68)  all_54_1 = e2
% 194.97/32.21  | | | | 
% 194.97/32.21  | | | | COMBINE_EQS: (58), (68) imply:
% 194.97/32.21  | | | |   (69)  all_44_0 = e2
% 194.97/32.21  | | | | 
% 194.97/32.21  | | | | SIMP: (69) implies:
% 194.97/32.21  | | | |   (70)  all_44_0 = e2
% 194.97/32.21  | | | | 
% 194.97/32.21  | | | | REDUCE: (60), (70) imply:
% 194.97/32.21  | | | |   (71)   ~ (all_52_7 = e2)
% 194.97/32.21  | | | | 
% 194.97/32.21  | | | | REDUCE: (61), (70) imply:
% 194.97/32.21  | | | |   (72)   ~ (e3 = e2)
% 194.97/32.21  | | | | 
% 194.97/32.21  | | | | SIMP: (72) implies:
% 194.97/32.21  | | | |   (73)   ~ (e3 = e2)
% 194.97/32.21  | | | | 
% 194.97/32.21  | | | | REDUCE: (62), (70) imply:
% 194.97/32.21  | | | |   (74)   ~ (e2 = e1)
% 194.97/32.21  | | | | 
% 194.97/32.21  | | | | BETA: splitting (36) gives:
% 194.97/32.21  | | | | 
% 194.97/32.21  | | | | Case 1:
% 194.97/32.21  | | | | | 
% 194.97/32.21  | | | | |   (75)  all_54_13 = e3
% 194.97/32.21  | | | | | 
% 194.97/32.21  | | | | | REF_CLOSE: (21), (40), (75) are inconsistent by sub-proof #1445.
% 194.97/32.21  | | | | | 
% 194.97/32.21  | | | | Case 2:
% 194.97/32.21  | | | | | 
% 194.97/32.21  | | | | |   (76)   ~ (all_54_13 = e3)
% 194.97/32.21  | | | | |   (77)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 194.97/32.21  | | | | | 
% 194.97/32.21  | | | | | BETA: splitting (77) gives:
% 194.97/32.21  | | | | | 
% 194.97/32.21  | | | | | Case 1:
% 194.97/32.21  | | | | | | 
% 194.97/32.21  | | | | | |   (78)  all_54_13 = e2
% 194.97/32.21  | | | | | | 
% 194.97/32.21  | | | | | | REF_CLOSE: (21), (71), (78) are inconsistent by sub-proof #1444.
% 194.97/32.21  | | | | | | 
% 194.97/32.21  | | | | | Case 2:
% 194.97/32.21  | | | | | | 
% 194.97/32.21  | | | | | |   (79)   ~ (all_54_13 = e2)
% 194.97/32.21  | | | | | |   (80)  all_54_13 = e1 | all_54_13 = e0
% 194.97/32.21  | | | | | | 
% 194.97/32.21  | | | | | | BETA: splitting (80) gives:
% 194.97/32.21  | | | | | | 
% 194.97/32.21  | | | | | | Case 1:
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | |   (81)  all_54_13 = e1
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | REF_CLOSE: (21), (28), (81) are inconsistent by sub-proof #1654.
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | Case 2:
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | |   (82)  all_54_13 = e0
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | COMBINE_EQS: (21), (82) imply:
% 194.97/32.21  | | | | | | |   (83)  all_52_7 = e0
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | SIMP: (83) implies:
% 194.97/32.21  | | | | | | |   (84)  all_52_7 = e0
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | REDUCE: (20), (84) imply:
% 194.97/32.21  | | | | | | |   (85)   ~ (all_52_3 = e0)
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | REDUCE: (18), (84) imply:
% 194.97/32.21  | | | | | | |   (86)   ~ (all_52_11 = e0)
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | SIMP: (86) implies:
% 194.97/32.21  | | | | | | |   (87)   ~ (all_52_11 = e0)
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | REDUCE: (40), (84) imply:
% 194.97/32.21  | | | | | | |   (88)   ~ (e3 = e0)
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | SIMP: (88) implies:
% 194.97/32.21  | | | | | | |   (89)   ~ (e3 = e0)
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | REDUCE: (71), (84) imply:
% 194.97/32.21  | | | | | | |   (90)   ~ (e2 = e0)
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | SIMP: (90) implies:
% 194.97/32.21  | | | | | | |   (91)   ~ (e2 = e0)
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | REDUCE: (28), (84) imply:
% 194.97/32.21  | | | | | | |   (92)   ~ (e1 = e0)
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | SIMP: (92) implies:
% 194.97/32.21  | | | | | | |   (93)   ~ (e1 = e0)
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | REDUCE: (47), (84) imply:
% 194.97/32.21  | | | | | | |   (94)  op(e0, e2) = e0
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | BETA: splitting (35) gives:
% 194.97/32.21  | | | | | | | 
% 194.97/32.21  | | | | | | | Case 1:
% 194.97/32.21  | | | | | | | | 
% 194.97/32.21  | | | | | | | |   (95)  all_54_14 = e3
% 194.97/32.21  | | | | | | | | 
% 194.97/32.21  | | | | | | | | REF_CLOSE: (33), (38), (95) are inconsistent by sub-proof #1260.
% 194.97/32.21  | | | | | | | | 
% 194.97/32.21  | | | | | | | Case 2:
% 194.97/32.21  | | | | | | | | 
% 194.97/32.21  | | | | | | | |   (96)   ~ (all_54_14 = e3)
% 194.97/32.21  | | | | | | | |   (97)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 194.97/32.21  | | | | | | | | 
% 194.97/32.21  | | | | | | | | BETA: splitting (97) gives:
% 194.97/32.21  | | | | | | | | 
% 194.97/32.21  | | | | | | | | Case 1:
% 194.97/32.21  | | | | | | | | | 
% 194.97/32.21  | | | | | | | | |   (98)  all_54_14 = e2
% 194.97/32.21  | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | REF_CLOSE: (38), (50), (98) are inconsistent by sub-proof
% 194.97/32.21  | | | | | | | | |            #1740.
% 194.97/32.21  | | | | | | | | | 
% 194.97/32.21  | | | | | | | | Case 2:
% 194.97/32.21  | | | | | | | | | 
% 194.97/32.21  | | | | | | | | |   (99)   ~ (all_54_14 = e2)
% 194.97/32.21  | | | | | | | | |   (100)  all_54_14 = e1 | all_54_14 = e0
% 194.97/32.21  | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | BETA: splitting (4) gives:
% 194.97/32.21  | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | Case 1:
% 194.97/32.21  | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | |   (101)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.97/32.21  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.97/32.21  | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.97/32.21  | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.21  | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.21  | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.21  | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.21  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 194.97/32.21  | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 194.97/32.21  | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.21  | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.21  | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.21  | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.97/32.21  | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.97/32.21  | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.21  | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.21  | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.21  | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.21  | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.21  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 194.97/32.21  | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.21  | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.21  | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.21  | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.21  | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.97/32.21  | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.97/32.21  | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.21  | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.21  | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.21  | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.21  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.21  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.21  | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.97/32.21  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 194.97/32.21  | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.97/32.21  | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.21  | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.21  | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 194.97/32.21  | | | | | | | | | |                  e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 194.97/32.21  | | | | | | | | | |                  e3) = all_57_1 & $i(all_57_1)))) |
% 194.97/32.21  | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.97/32.21  | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.97/32.21  | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.21  | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.21  | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.21  | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.21  | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.97/32.21  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 194.97/32.21  | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.21  | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.21  | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.21  | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.21  | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | BETA: splitting (101) gives:
% 194.97/32.21  | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | Case 1:
% 194.97/32.21  | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | |   (102)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.97/32.21  | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.97/32.21  | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.97/32.21  | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.21  | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.21  | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.21  | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.21  | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.21  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.97/32.21  | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.21  | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.97/32.21  | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.21  | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.97/32.21  | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.21  | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.21  | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.97/32.21  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.97/32.21  | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.21  | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.21  | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.21  | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.21  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.21  | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.21  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.97/32.21  | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.21  | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.21  | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.21  | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.97/32.21  | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.21  | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.21  | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | BETA: splitting (102) gives:
% 194.97/32.21  | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | Case 1:
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | |   (103)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 194.97/32.21  | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 194.97/32.21  | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 194.97/32.21  | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.21  | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.21  | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.21  | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.21  | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.21  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 194.97/32.21  | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 194.97/32.21  | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 194.97/32.21  | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.21  | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 194.97/32.21  | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.21  | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | REF_CLOSE: (13), (16), (42), (43), (73), (94), (103) are
% 194.97/32.21  | | | | | | | | | | | |            inconsistent by sub-proof #674.
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | Case 2:
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | |   (104)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 194.97/32.21  | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 194.97/32.21  | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.21  | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.21  | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.21  | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.21  | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.21  | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.21  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 194.97/32.21  | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.21  | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.21  | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.21  | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.97/32.21  | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 194.97/32.21  | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | REF_CLOSE: (13), (29), (31), (43), (73), (104) are
% 194.97/32.21  | | | | | | | | | | | |            inconsistent by sub-proof #452.
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | End of split
% 194.97/32.21  | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | Case 2:
% 194.97/32.21  | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | |   (105)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.97/32.21  | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.97/32.21  | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.21  | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.21  | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.21  | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.21  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.21  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.21  | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.97/32.21  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.97/32.21  | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.21  | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.21  | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.21  | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.97/32.21  | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.21  | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 194.97/32.21  | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.97/32.21  | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.97/32.21  | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.21  | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.21  | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.21  | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.21  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.21  | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.97/32.21  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.97/32.21  | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.97/32.21  | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.21  | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.21  | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.97/32.21  | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.21  | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.21  | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | BETA: splitting (105) gives:
% 194.97/32.21  | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | Case 1:
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | |   (106)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.97/32.21  | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.97/32.21  | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.21  | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.21  | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.21  | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.21  | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.21  | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.21  | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.97/32.21  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 194.97/32.21  | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 194.97/32.21  | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 194.97/32.21  | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 194.97/32.21  | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 194.97/32.21  | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 194.97/32.21  | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | BETA: splitting (106) gives:
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | Case 1:
% 194.97/32.21  | | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | |   (107)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 194.97/32.21  | | | | | | | | | | | | |          op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 194.97/32.21  | | | | | | | | | | | | |          e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.21  | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.21  | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.21  | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.21  | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.21  | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 194.97/32.21  | | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | | ALPHA: (107) implies:
% 194.97/32.21  | | | | | | | | | | | | |   (108)  op(e3, e3) = e0
% 194.97/32.21  | | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | | REF_CLOSE: (2), (8), (13), (14), (19), (32), (48), (108) are
% 194.97/32.21  | | | | | | | | | | | | |            inconsistent by sub-proof #1051.
% 194.97/32.21  | | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | Case 2:
% 194.97/32.21  | | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | |   (109)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 194.97/32.21  | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 194.97/32.21  | | | | | | | | | | | | |            e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 194.97/32.21  | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.21  | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 194.97/32.21  | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 194.97/32.21  | | | | | | | | | | | | |              = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 194.97/32.21  | | | | | | | | | | | | |              all_57_1 & $i(all_57_1)))
% 194.97/32.21  | | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | | ALPHA: (109) implies:
% 194.97/32.21  | | | | | | | | | | | | |   (110)  op(e0, e3) = e0
% 194.97/32.21  | | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | | REF_CLOSE: (13), (24), (85), (110) are inconsistent by
% 194.97/32.21  | | | | | | | | | | | | |            sub-proof #1935.
% 194.97/32.21  | | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | End of split
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | Case 2:
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | |   (111)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 194.97/32.21  | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 194.97/32.21  | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 194.97/32.21  | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.21  | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.21  | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.21  | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.21  | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.21  | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 194.97/32.21  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 194.97/32.21  | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 194.97/32.21  | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.21  | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.21  | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 194.97/32.21  | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 194.97/32.21  | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | | REF_CLOSE: (5), (10), (13), (46), (73), (111) are
% 194.97/32.21  | | | | | | | | | | | |            inconsistent by sub-proof #635.
% 194.97/32.21  | | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | | End of split
% 194.97/32.21  | | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | | End of split
% 194.97/32.21  | | | | | | | | | | 
% 194.97/32.21  | | | | | | | | | Case 2:
% 194.97/32.21  | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | |   (112)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.97/32.22  | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.97/32.22  | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.22  | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.22  | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.22  | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.22  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.22  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.22  | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.97/32.22  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 194.97/32.22  | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.97/32.22  | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.22  | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 194.97/32.22  | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 194.97/32.22  | | | | | | | | | |                  e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 194.97/32.22  | | | | | | | | | |                  e2) = all_57_4 & $i(all_57_4)))) |
% 194.97/32.22  | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.97/32.22  | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.97/32.22  | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.22  | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.22  | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.22  | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.97/32.22  | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.97/32.22  | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.22  | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.97/32.22  | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 194.97/32.22  | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.22  | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 194.97/32.22  | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.22  | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 194.97/32.22  | | | | | | | | | |                  e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 194.97/32.22  | | | | | | | | | |                  e1) = all_57_7 & $i(all_57_7)))) |
% 194.97/32.22  | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.97/32.22  | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.22  | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.22  | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.22  | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.22  | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.97/32.22  | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.22  | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.22  | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.97/32.22  | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.97/32.22  | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.22  | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.22  | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.22  | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.22  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.22  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.22  | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.97/32.22  | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 194.97/32.22  | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.22  | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.22  | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.22  | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.22  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.22  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.22  | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.97/32.22  | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 194.97/32.22  | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.22  | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.22  | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.22  | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.22  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.22  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.22  | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | BETA: splitting (112) gives:
% 194.97/32.22  | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | Case 1:
% 194.97/32.22  | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | |   (113)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 194.97/32.22  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 194.97/32.22  | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.22  | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.22  | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.22  | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.22  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.22  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 194.97/32.22  | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 194.97/32.22  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 194.97/32.22  | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.22  | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 194.97/32.22  | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 194.97/32.22  | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 194.97/32.22  | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 194.97/32.22  | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 194.97/32.22  | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 194.97/32.22  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 194.97/32.22  | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 194.97/32.22  | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.22  | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.22  | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 194.97/32.22  | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 194.97/32.22  | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.22  | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 194.97/32.22  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 194.97/32.22  | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 194.97/32.22  | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.22  | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 194.97/32.22  | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 194.97/32.22  | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 194.97/32.22  | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.97/32.22  | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | REF_CLOSE: (13), (16), (31), (42), (43), (73), (91), (93),
% 194.97/32.22  | | | | | | | | | | |            (113) are inconsistent by sub-proof #451.
% 194.97/32.22  | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | Case 2:
% 194.97/32.22  | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | |   (114)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.97/32.22  | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.97/32.22  | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.22  | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.22  | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.22  | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.97/32.22  | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.22  | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.22  | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.97/32.22  | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.97/32.22  | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.22  | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.22  | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.22  | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.22  | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.22  | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.22  | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.97/32.22  | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.97/32.22  | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.22  | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.22  | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.22  | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.22  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.22  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.22  | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.97/32.22  | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.97/32.22  | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.22  | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.22  | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.22  | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.22  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.22  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.22  | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | BETA: splitting (114) gives:
% 194.97/32.22  | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | Case 1:
% 194.97/32.22  | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | |   (115)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.97/32.22  | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 194.97/32.22  | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.22  | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.22  | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.22  | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 194.97/32.22  | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 194.97/32.22  | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.22  | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.97/32.22  | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 194.97/32.22  | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.22  | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.22  | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.22  | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 194.97/32.22  | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 194.97/32.22  | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 194.97/32.22  | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | BETA: splitting (115) gives:
% 194.97/32.22  | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | Case 1:
% 194.97/32.22  | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | |   (116)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 194.97/32.22  | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 194.97/32.22  | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.22  | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.22  | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 194.97/32.22  | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 194.97/32.22  | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 194.97/32.22  | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 194.97/32.22  | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | ALPHA: (116) implies:
% 194.97/32.22  | | | | | | | | | | | | |   (117)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 194.97/32.22  | | | | | | | | | | | | |              = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 194.97/32.22  | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | BETA: splitting (100) gives:
% 194.97/32.22  | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | Case 1:
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | |   (118)  all_54_14 = e1
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | COMBINE_EQS: (38), (118) imply:
% 194.97/32.22  | | | | | | | | | | | | | |   (119)  all_52_11 = e1
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | SIMP: (119) implies:
% 194.97/32.22  | | | | | | | | | | | | | |   (120)  all_52_11 = e1
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | REDUCE: (49), (120) imply:
% 194.97/32.22  | | | | | | | | | | | | | |   (121)   ~ (all_52_3 = e1)
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | REDUCE: (33), (120) imply:
% 194.97/32.22  | | | | | | | | | | | | | |   (122)   ~ (e3 = e1)
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | REDUCE: (50), (120) imply:
% 194.97/32.22  | | | | | | | | | | | | | |   (123)   ~ (e2 = e1)
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | Case 1:
% 194.97/32.22  | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | |   (124)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 194.97/32.22  | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 194.97/32.22  | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 194.97/32.22  | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | Case 1:
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | |   (125)  all_56_0 = e1 & op(e3, e3) = e1
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | | ALPHA: (125) implies:
% 194.97/32.22  | | | | | | | | | | | | | | | |   (126)  op(e3, e3) = e1
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (29), (43), (126) are inconsistent by
% 194.97/32.22  | | | | | | | | | | | | | | | |            sub-proof #1966.
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | Case 2:
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | |   (127)  all_56_2 = e1 & op(e2, e3) = e1
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | | ALPHA: (127) implies:
% 194.97/32.22  | | | | | | | | | | | | | | | |   (128)  all_56_2 = e1
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13), (16), (17), (26), (37), (41), (74),
% 194.97/32.22  | | | | | | | | | | | | | | | |            (89), (91), (93), (128) are inconsistent by
% 194.97/32.22  | | | | | | | | | | | | | | | |            sub-proof #472.
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | End of split
% 194.97/32.22  | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | Case 2:
% 194.97/32.22  | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | |   (129)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 194.97/32.22  | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 194.97/32.22  | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 194.97/32.22  | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | Case 1:
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | |   (130)  all_56_6 = e1 & op(e1, e3) = e1
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | | ALPHA: (130) implies:
% 194.97/32.22  | | | | | | | | | | | | | | | |   (131)  all_56_6 = e1
% 194.97/32.22  | | | | | | | | | | | | | | | |   (132)  op(e1, e3) = e1
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (23), (30), (45), (73), (74), (89), (91),
% 194.97/32.22  | | | | | | | | | | | | | | | |            (93), (117), (131), (132) are inconsistent by
% 194.97/32.22  | | | | | | | | | | | | | | | |            sub-proof #542.
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | Case 2:
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | |   (133)  all_56_12 = e1 & op(e0, e3) = e1
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 194.97/32.22  | | | | | | | | | | | | | | | |   (134)  op(e0, e3) = e1
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (24), (121), (134) are inconsistent by
% 194.97/32.22  | | | | | | | | | | | | | | | |            sub-proof #1950.
% 194.97/32.22  | | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | | End of split
% 194.97/32.22  | | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | End of split
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | Case 2:
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | |   (135)  all_54_14 = e0
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | | REF_CLOSE: (38), (87), (135) are inconsistent by sub-proof
% 194.97/32.22  | | | | | | | | | | | | | |            #1738.
% 194.97/32.22  | | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | End of split
% 194.97/32.22  | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | Case 2:
% 194.97/32.22  | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | |   (136)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 194.97/32.22  | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 194.97/32.22  | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.22  | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 194.97/32.22  | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.22  | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 194.97/32.22  | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 194.97/32.22  | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 194.97/32.22  | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | ALPHA: (136) implies:
% 194.97/32.22  | | | | | | | | | | | | |   (137)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 194.97/32.22  | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 194.97/32.22  | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | | REF_CLOSE: (13), (42), (73), (94), (137) are inconsistent by
% 194.97/32.22  | | | | | | | | | | | | |            sub-proof #1028.
% 194.97/32.22  | | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | End of split
% 194.97/32.22  | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | Case 2:
% 194.97/32.22  | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | |   (138)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 194.97/32.22  | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 194.97/32.22  | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.22  | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.22  | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.22  | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 194.97/32.22  | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.22  | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.22  | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 194.97/32.22  | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 194.97/32.22  | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.22  | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.22  | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 194.97/32.22  | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 194.97/32.22  | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.22  | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.22  | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | | REF_CLOSE: (13), (31), (42), (74), (89), (138) are
% 194.97/32.22  | | | | | | | | | | | |            inconsistent by sub-proof #450.
% 194.97/32.22  | | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | | End of split
% 194.97/32.22  | | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | | End of split
% 194.97/32.22  | | | | | | | | | | 
% 194.97/32.22  | | | | | | | | | End of split
% 194.97/32.22  | | | | | | | | | 
% 194.97/32.22  | | | | | | | | End of split
% 194.97/32.22  | | | | | | | | 
% 194.97/32.22  | | | | | | | End of split
% 194.97/32.22  | | | | | | | 
% 194.97/32.22  | | | | | | End of split
% 194.97/32.22  | | | | | | 
% 194.97/32.22  | | | | | End of split
% 194.97/32.22  | | | | | 
% 194.97/32.22  | | | | End of split
% 194.97/32.22  | | | | 
% 194.97/32.22  | | | Case 2:
% 194.97/32.22  | | | | 
% 194.97/32.22  | | | |   (139)  all_54_1 = e1 | all_54_1 = e0
% 194.97/32.22  | | | | 
% 194.97/32.22  | | | | REF_CLOSE: (25), (58), (62), (139) are inconsistent by sub-proof #1044.
% 194.97/32.22  | | | | 
% 194.97/32.22  | | | End of split
% 194.97/32.22  | | | 
% 194.97/32.22  | | End of split
% 194.97/32.22  | | 
% 194.97/32.22  | Case 2:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (140)   ~ (all_34_1 = e3) & op(e1, e2) = all_34_1 & $i(all_34_1)
% 194.97/32.22  | | 
% 194.97/32.22  | | ALPHA: (140) implies:
% 194.97/32.22  | |   (141)   ~ (all_34_1 = e3)
% 194.97/32.22  | |   (142)  op(e1, e2) = all_34_1
% 194.97/32.22  | | 
% 194.97/32.22  | | REF_CLOSE: (10), (13), (141), (142) are inconsistent by sub-proof #468.
% 194.97/32.22  | | 
% 194.97/32.22  | End of split
% 194.97/32.22  | 
% 194.97/32.22  End of proof
% 194.97/32.22  
% 194.97/32.22  Sub-proof #450 shows that the following formulas are inconsistent:
% 194.97/32.22  ----------------------------------------------------------------
% 194.97/32.22    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.22             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.22           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.22               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.22             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.22         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.22             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.22           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.22               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.22             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.22    (3)  op(e1, e1) = e2
% 194.97/32.22    (4)   ~ (e2 = e1)
% 194.97/32.22    (5)  op(e0, e0) = e3
% 194.97/32.22    (6)   ~ (e3 = e0)
% 194.97/32.22  
% 194.97/32.22  Begin of proof
% 194.97/32.22  | 
% 194.97/32.22  | BETA: splitting (1) gives:
% 194.97/32.22  | 
% 194.97/32.22  | Case 1:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 194.97/32.22  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.22  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 194.97/32.22  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 194.97/32.22  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 194.97/32.22  | |              e1) = all_57_8 & $i(all_57_8)))
% 194.97/32.22  | | 
% 194.97/32.22  | | ALPHA: (7) implies:
% 194.97/32.22  | |   (8)  op(e1, e1) = e1
% 194.97/32.22  | | 
% 194.97/32.22  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1955.
% 194.97/32.22  | | 
% 194.97/32.22  | Case 2:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 194.97/32.22  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.22  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.22  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 194.97/32.22  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 194.97/32.22  | |              e0) = all_57_13 & $i(all_57_13)))
% 194.97/32.22  | | 
% 194.97/32.22  | | ALPHA: (9) implies:
% 194.97/32.22  | |   (10)  op(e0, e0) = e0
% 194.97/32.22  | | 
% 194.97/32.22  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1947.
% 194.97/32.22  | | 
% 194.97/32.22  | End of split
% 194.97/32.22  | 
% 194.97/32.22  End of proof
% 194.97/32.22  
% 194.97/32.22  Sub-proof #451 shows that the following formulas are inconsistent:
% 194.97/32.22  ----------------------------------------------------------------
% 194.97/32.22    (1)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.22           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.22           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.22                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.22               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.22               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.22           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.22             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.22               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.22           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.22               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.22           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.22           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.97/32.22               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.22               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.22               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.22         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.97/32.22           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.22           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.22               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.97/32.22             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))))
% 194.97/32.22    (2)   ~ (e3 = e2)
% 194.97/32.22    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.22    (4)  op(e2, e2) = e1
% 194.97/32.22    (5)  op(e1, e1) = e2
% 194.97/32.22    (6)   ~ (e1 = e0)
% 194.97/32.22    (7)  op(e0, e0) = e3
% 194.97/32.22    (8)   ~ (e3 = e1)
% 194.97/32.22    (9)   ~ (e2 = e0)
% 194.97/32.22  
% 194.97/32.22  Begin of proof
% 194.97/32.22  | 
% 194.97/32.22  | BETA: splitting (1) gives:
% 194.97/32.22  | 
% 194.97/32.22  | Case 1:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (10)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.22  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.22  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.22  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.22  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.97/32.22  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 194.97/32.22  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 194.97/32.22  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 194.97/32.22  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 194.97/32.22  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 194.97/32.22  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 194.97/32.22  | |               $i(all_57_4))))
% 194.97/32.22  | | 
% 194.97/32.22  | | BETA: splitting (10) gives:
% 194.97/32.22  | | 
% 194.97/32.22  | | Case 1:
% 194.97/32.22  | | | 
% 194.97/32.22  | | |   (11)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 194.97/32.22  | | |         & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.22  | | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.22  | | |             (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.22  | | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 194.97/32.22  | | |             op(e1, e0) = all_57_13 & $i(all_57_13)))
% 194.97/32.22  | | | 
% 194.97/32.22  | | | ALPHA: (11) implies:
% 194.97/32.22  | | |   (12)  op(e2, e2) = e0
% 194.97/32.22  | | | 
% 194.97/32.22  | | | REF_CLOSE: (3), (4), (6), (12) are inconsistent by sub-proof #1909.
% 194.97/32.22  | | | 
% 194.97/32.22  | | Case 2:
% 194.97/32.22  | | | 
% 194.97/32.22  | | |   (13)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 194.97/32.22  | | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 194.97/32.22  | | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.22  | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.22  | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 194.97/32.22  | | |               e2) = all_57_4 & $i(all_57_4)))
% 194.97/32.22  | | | 
% 194.97/32.22  | | | ALPHA: (13) implies:
% 194.97/32.22  | | |   (14)  op(e0, e0) = e2
% 194.97/32.22  | | | 
% 194.97/32.22  | | | REF_CLOSE: (2), (3), (7), (14) are inconsistent by sub-proof #1692.
% 194.97/32.22  | | | 
% 194.97/32.22  | | End of split
% 194.97/32.22  | | 
% 194.97/32.22  | Case 2:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (15)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 194.97/32.22  | |           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 194.97/32.22  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 194.97/32.22  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.22  | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 194.97/32.22  | |               op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 194.97/32.22  | |           all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1,
% 194.97/32.22  | |             e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.22  | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 194.97/32.22  | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 194.97/32.22  | |                 e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.22  | |               $i(all_57_7))))
% 194.97/32.22  | | 
% 194.97/32.22  | | REF_CLOSE: (3), (5), (7), (8), (9), (15) are inconsistent by sub-proof #457.
% 194.97/32.22  | | 
% 194.97/32.22  | End of split
% 194.97/32.22  | 
% 194.97/32.22  End of proof
% 194.97/32.22  
% 194.97/32.22  Sub-proof #452 shows that the following formulas are inconsistent:
% 194.97/32.22  ----------------------------------------------------------------
% 194.97/32.22    (1)   ~ (e3 = e2)
% 194.97/32.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.22    (3)  op(e3, e3) = e3
% 194.97/32.22    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.97/32.22           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.22           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.22                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 194.97/32.22               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 194.97/32.22               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 194.97/32.22           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 194.97/32.22           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 194.97/32.22               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.22           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.22               = all_57_2 & $i(all_57_2))))
% 194.97/32.22    (5)  op(e1, e1) = e2
% 194.97/32.22    (6)   ~ (e3 = e1)
% 194.97/32.22  
% 194.97/32.22  Begin of proof
% 194.97/32.22  | 
% 194.97/32.22  | BETA: splitting (4) gives:
% 194.97/32.22  | 
% 194.97/32.22  | Case 1:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 194.97/32.22  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 194.97/32.22  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 194.97/32.22  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 194.97/32.22  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 194.97/32.22  | |            & $i(all_57_8)))
% 194.97/32.22  | | 
% 194.97/32.22  | | ALPHA: (7) implies:
% 194.97/32.22  | |   (8)  op(e3, e3) = e1
% 194.97/32.22  | | 
% 194.97/32.22  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1966.
% 194.97/32.22  | | 
% 194.97/32.22  | Case 2:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 194.97/32.22  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 194.97/32.22  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 194.97/32.22  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 194.97/32.22  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 194.97/32.22  | |            & $i(all_57_2)))
% 194.97/32.22  | | 
% 194.97/32.22  | | ALPHA: (9) implies:
% 194.97/32.22  | |   (10)  op(e1, e1) = e3
% 194.97/32.22  | | 
% 194.97/32.22  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1777.
% 194.97/32.22  | | 
% 194.97/32.22  | End of split
% 194.97/32.22  | 
% 194.97/32.22  End of proof
% 194.97/32.22  
% 194.97/32.22  Sub-proof #453 shows that the following formulas are inconsistent:
% 194.97/32.22  ----------------------------------------------------------------
% 194.97/32.22    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 194.97/32.22         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 194.97/32.22    (2)   ~ (e3 = e2)
% 194.97/32.22    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.22    (4)  op(e2, e2) = e1
% 194.97/32.22    (5)  all_56_5 = e3
% 194.97/32.22    (6)  all_56_2 = e3
% 194.97/32.22    (7)   ~ (e1 = e0)
% 194.97/32.22    (8)   ~ (e2 = e1)
% 194.97/32.22    (9)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.22         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 194.97/32.22    (10)   ~ (e2 = e0)
% 194.97/32.22    (11)   ~ (e3 = e0)
% 194.97/32.22  
% 194.97/32.22  Begin of proof
% 194.97/32.22  | 
% 194.97/32.22  | BETA: splitting (1) gives:
% 194.97/32.22  | 
% 194.97/32.22  | Case 1:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (12)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 194.97/32.22  | |           e0)
% 194.97/32.22  | | 
% 194.97/32.22  | | REF_CLOSE: (3), (4), (6), (7), (11), (12) are inconsistent by sub-proof
% 194.97/32.22  | |            #1168.
% 194.97/32.22  | | 
% 194.97/32.22  | Case 2:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (13)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 194.97/32.22  | |           e0)
% 194.97/32.22  | | 
% 194.97/32.22  | | BETA: splitting (13) gives:
% 194.97/32.22  | | 
% 194.97/32.22  | | Case 1:
% 194.97/32.22  | | | 
% 194.97/32.22  | | |   (14)  all_56_5 = e0 & op(e2, e1) = e0
% 194.97/32.22  | | | 
% 194.97/32.22  | | | REF_CLOSE: (5), (11), (14) are inconsistent by sub-proof #1499.
% 194.97/32.22  | | | 
% 194.97/32.22  | | Case 2:
% 194.97/32.22  | | | 
% 194.97/32.22  | | |   (15)  all_56_10 = e0 & op(e2, e0) = e0
% 194.97/32.22  | | | 
% 194.97/32.22  | | | ALPHA: (15) implies:
% 194.97/32.22  | | |   (16)  all_56_10 = e0
% 194.97/32.22  | | | 
% 194.97/32.22  | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (16) are inconsistent
% 194.97/32.22  | | |            by sub-proof #1008.
% 194.97/32.22  | | | 
% 194.97/32.22  | | End of split
% 194.97/32.22  | | 
% 194.97/32.22  | End of split
% 194.97/32.22  | 
% 194.97/32.22  End of proof
% 194.97/32.22  
% 194.97/32.22  Sub-proof #454 shows that the following formulas are inconsistent:
% 194.97/32.22  ----------------------------------------------------------------
% 194.97/32.22    (1)  op(e1, e2) = all_52_6
% 194.97/32.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.22    (3)   ~ (all_52_6 = e3)
% 194.97/32.22    (4)   ~ (all_52_7 = e3)
% 194.97/32.22    (5)  op(e0, e2) = all_52_7
% 194.97/32.22    (6)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/32.22  
% 194.97/32.22  Begin of proof
% 194.97/32.22  | 
% 194.97/32.22  | BETA: splitting (6) gives:
% 194.97/32.22  | 
% 194.97/32.22  | Case 1:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (7)  all_56_7 = e3 & op(e1, e2) = e3
% 194.97/32.22  | | 
% 194.97/32.22  | | ALPHA: (7) implies:
% 194.97/32.22  | |   (8)  op(e1, e2) = e3
% 194.97/32.22  | | 
% 194.97/32.22  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1408.
% 194.97/32.22  | | 
% 194.97/32.22  | Case 2:
% 194.97/32.22  | | 
% 194.97/32.22  | |   (9)  all_56_13 = e3 & op(e0, e2) = e3
% 194.97/32.22  | | 
% 194.97/32.22  | | ALPHA: (9) implies:
% 194.97/32.22  | |   (10)  op(e0, e2) = e3
% 194.97/32.22  | | 
% 194.97/32.22  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #783.
% 194.97/32.22  | | 
% 194.97/32.22  | End of split
% 194.97/32.22  | 
% 194.97/32.22  End of proof
% 194.97/32.22  
% 194.97/32.22  Sub-proof #455 shows that the following formulas are inconsistent:
% 194.97/32.22  ----------------------------------------------------------------
% 194.97/32.23    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.97/32.23         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.97/32.23    (2)  all_56_9 = e2
% 194.97/32.23    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.23         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.97/32.23    (4)   ~ (e3 = e2)
% 194.97/32.23    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.23    (6)  op(e2, e2) = all_4_2
% 194.97/32.23    (7)  all_56_4 = e1
% 194.97/32.23    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.23         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/32.23    (9)   ~ (all_52_7 = e1)
% 194.97/32.23    (10)  op(e3, e3) = e3
% 194.97/32.23    (11)   ~ (all_4_2 = e3)
% 194.97/32.23    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 194.97/32.23          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 194.97/32.23    (13)   ~ (e1 = e0)
% 194.97/32.23    (14)   ~ (e2 = e1)
% 194.97/32.23    (15)  op(e2, e2) = e0
% 194.97/32.23    (16)   ~ (e3 = e1)
% 194.97/32.23    (17)  op(e0, e2) = all_52_7
% 194.97/32.23    (18)   ~ (e2 = e0)
% 194.97/32.23    (19)   ~ (e3 = e0)
% 194.97/32.23  
% 194.97/32.23  Begin of proof
% 194.97/32.23  | 
% 194.97/32.23  | BETA: splitting (12) gives:
% 194.97/32.23  | 
% 194.97/32.23  | Case 1:
% 194.97/32.23  | | 
% 194.97/32.23  | |   (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 194.97/32.23  | |           e0)
% 194.97/32.23  | | 
% 194.97/32.23  | | BETA: splitting (20) gives:
% 194.97/32.23  | | 
% 194.97/32.23  | | Case 1:
% 194.97/32.23  | | | 
% 194.97/32.23  | | |   (21)  all_56_0 = e0 & op(e3, e3) = e0
% 194.97/32.23  | | | 
% 194.97/32.23  | | | ALPHA: (21) implies:
% 194.97/32.23  | | |   (22)  op(e3, e3) = e0
% 194.97/32.23  | | | 
% 194.97/32.23  | | | REF_CLOSE: (5), (10), (19), (22) are inconsistent by sub-proof #1961.
% 194.97/32.23  | | | 
% 194.97/32.23  | | Case 2:
% 194.97/32.23  | | | 
% 194.97/32.23  | | |   (23)  all_56_1 = e0 & op(e3, e2) = e0
% 194.97/32.23  | | | 
% 194.97/32.23  | | | ALPHA: (23) implies:
% 194.97/32.23  | | |   (24)  all_56_1 = e0
% 194.97/32.23  | | | 
% 194.97/32.23  | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (11), (13), (14), (15),
% 194.97/32.23  | | |            (16), (17), (18), (19), (24) are inconsistent by sub-proof
% 194.97/32.23  | | |            #874.
% 194.97/32.23  | | | 
% 194.97/32.23  | | End of split
% 194.97/32.23  | | 
% 194.97/32.23  | Case 2:
% 194.97/32.23  | | 
% 194.97/32.23  | |   (25)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 194.97/32.23  | |           e0)
% 194.97/32.23  | | 
% 194.97/32.23  | | BETA: splitting (25) gives:
% 194.97/32.23  | | 
% 194.97/32.23  | | Case 1:
% 194.97/32.23  | | | 
% 194.97/32.23  | | |   (26)  all_56_4 = e0 & op(e3, e1) = e0
% 194.97/32.23  | | | 
% 194.97/32.23  | | | ALPHA: (26) implies:
% 194.97/32.23  | | |   (27)  all_56_4 = e0
% 194.97/32.23  | | | 
% 194.97/32.23  | | | REF_CLOSE: (7), (13), (27) are inconsistent by sub-proof #1827.
% 194.97/32.23  | | | 
% 194.97/32.23  | | Case 2:
% 194.97/32.23  | | | 
% 194.97/32.23  | | |   (28)  all_56_9 = e0 & op(e3, e0) = e0
% 194.97/32.23  | | | 
% 194.97/32.23  | | | ALPHA: (28) implies:
% 194.97/32.23  | | |   (29)  all_56_9 = e0
% 194.97/32.23  | | | 
% 194.97/32.23  | | | REF_CLOSE: (2), (18), (29) are inconsistent by sub-proof #1919.
% 194.97/32.23  | | | 
% 194.97/32.23  | | End of split
% 194.97/32.23  | | 
% 194.97/32.23  | End of split
% 194.97/32.23  | 
% 194.97/32.23  End of proof
% 194.97/32.23  
% 194.97/32.23  Sub-proof #456 shows that the following formulas are inconsistent:
% 194.97/32.23  ----------------------------------------------------------------
% 194.97/32.23    (1)   ~ (all_52_1 = all_4_2)
% 194.97/32.23    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 194.97/32.23         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 194.97/32.23    (3)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 194.97/32.23    (4)  op(e1, e3) = all_52_2
% 194.97/32.23    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 194.97/32.23           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 194.97/32.23           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 194.97/32.23                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 194.97/32.23               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 194.97/32.23               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 194.97/32.23           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 194.97/32.23           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 194.97/32.23               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 194.97/32.23           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 194.97/32.23               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 194.97/32.23           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 194.97/32.23           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 194.97/32.23               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 194.97/32.23               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.23               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.23         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 194.97/32.23           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 194.97/32.23           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 194.97/32.23               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.23             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.23         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 194.97/32.23           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 194.97/32.23           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 194.97/32.23                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 194.97/32.23               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 194.97/32.23               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 194.97/32.23           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 194.97/32.23           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.23             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.23           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.23               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 194.97/32.23           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 194.97/32.23           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 194.97/32.23               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 194.97/32.23               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 194.97/32.23               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.23         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 194.97/32.23           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 194.97/32.23           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 194.97/32.23               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.23             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.23         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 194.97/32.23           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 194.97/32.23           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 194.97/32.23                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 194.97/32.23               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 194.97/32.23               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 194.97/32.23           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 194.97/32.23             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 194.97/32.23               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.23           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.23               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 194.97/32.23           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 194.97/32.23           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 194.97/32.23               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 194.97/32.23               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 194.97/32.23               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 194.97/32.23         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 194.97/32.23           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 194.97/32.23           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 194.97/32.23               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 194.97/32.23             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 194.97/32.23         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 194.97/32.23             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 194.97/32.23           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 194.97/32.23               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 194.97/32.23             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 194.97/32.23         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 194.97/32.23             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 194.97/32.23           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 194.97/32.23               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 194.97/32.23             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 194.97/32.23         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 194.97/32.23             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 194.97/32.23           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 194.97/32.23               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 194.97/32.23             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 194.97/32.23         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 194.97/32.23             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 194.97/32.23           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 194.97/32.23               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 194.97/32.23             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 194.97/32.23    (6)  all_54_4 = all_52_1
% 194.97/32.23    (7)   ~ (all_52_13 = e3)
% 194.97/32.23    (8)  op(e1, e2) = all_52_6
% 194.97/32.23    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 194.97/32.23         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 194.97/32.23    (10)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 194.97/32.23    (11)  all_54_3 = all_52_12
% 194.97/32.23    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 194.97/32.23          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 194.97/32.23    (13)   ~ (all_52_1 = all_52_9)
% 194.97/32.23    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 194.97/32.23          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 194.97/32.23    (15)   ~ (all_52_6 = all_52_7)
% 194.97/32.23    (16)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 194.97/32.23          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 194.97/32.23    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 194.97/32.23          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 194.97/32.23    (18)  all_54_2 = all_52_8
% 194.97/32.23    (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 194.97/32.23          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 194.97/32.23    (20)   ~ (all_52_13 = e2)
% 194.97/32.23    (21)   ~ (e3 = e2)
% 194.97/32.23    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 194.97/32.23            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 194.97/32.23    (23)   ~ (all_52_9 = e1)
% 194.97/32.23    (24)  op(e3, e2) = all_52_4
% 194.97/32.23    (25)  op(e2, e2) = all_4_2
% 194.97/32.23    (26)   ~ (all_52_12 = all_52_13)
% 194.97/32.23    (27)  op(e3, e3) = e1
% 194.97/32.23    (28)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 194.97/32.23    (29)   ~ (all_52_7 = all_52_11)
% 194.97/32.23    (30)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 194.97/32.23          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 194.97/32.23    (31)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 194.97/32.23          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 194.97/32.23    (32)   ~ (all_52_3 = all_52_7)
% 194.97/32.23    (33)  all_54_12 = all_52_3
% 194.97/32.23    (34)   ~ (all_52_4 = all_52_8)
% 194.97/32.23    (35)   ~ (all_52_4 = all_52_7)
% 194.97/32.23    (36)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 194.97/32.23          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 194.97/32.23    (37)  all_54_9 = all_52_6
% 194.97/32.23    (38)   ~ (all_52_14 = e3)
% 194.97/32.23    (39)  op(e0, e3) = all_52_3
% 194.97/32.23    (40)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 194.97/32.23    (41)  op(e2, e0) = all_52_13
% 194.97/32.23    (42)  op(e1, e0) = all_52_14
% 194.97/32.23    (43)  all_56_15 = e3
% 194.97/32.23    (44)  all_54_8 = all_52_2
% 194.97/32.23    (45)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 194.97/32.23          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 194.97/32.23    (46)   ~ (all_52_4 = all_52_12)
% 194.97/32.23    (47)   ~ (all_52_2 = all_52_14)
% 195.12/32.23    (48)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.12/32.23              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.12/32.23            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.12/32.23            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.12/32.23            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.12/32.23            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.12/32.23            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.12/32.23            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.12/32.23            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.12/32.23            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.12/32.23            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.12/32.23            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.12/32.23            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.12/32.23            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.12/32.23            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.12/32.23            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.12/32.23            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.12/32.23            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.12/32.23            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.12/32.23            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.12/32.23            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.12/32.23            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.12/32.23            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.12/32.23            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.12/32.23            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.12/32.23            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.12/32.23            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.12/32.23            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.12/32.23            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.12/32.23            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.12/32.23            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.12/32.23            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.12/32.23            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.12/32.23            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.12/32.23            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.12/32.23            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.12/32.23            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.12/32.23            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.12/32.23            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.12/32.23            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.12/32.23            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.12/32.23            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.12/32.23            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.12/32.23            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.12/32.23            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.12/32.23            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.12/32.23            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.12/32.23            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.12/32.23              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.12/32.23            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.12/32.23            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.12/32.23              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.12/32.23            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.12/32.23            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.12/32.23                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.12/32.23                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.12/32.23                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.12/32.23                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.12/32.23                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.12/32.23                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.12/32.23                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.12/32.23              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.12/32.23                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.12/32.23                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.12/32.23                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.12/32.23                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.12/32.23                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.12/32.23                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.12/32.23                $i(all_57_7))))
% 195.12/32.23    (49)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 195.12/32.23          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 195.12/32.23    (50)   ~ (all_52_12 = all_52_14)
% 195.12/32.23    (51)   ~ (all_52_12 = e0)
% 195.12/32.23    (52)   ~ (all_52_8 = e1)
% 195.12/32.23    (53)   ~ (all_52_4 = all_4_2)
% 195.12/32.23    (54)  op(e0, e1) = all_52_11
% 195.12/32.23    (55)   ~ (all_52_12 = e3)
% 195.12/32.23    (56)   ~ (all_52_6 = all_52_14)
% 195.12/32.23    (57)  op(e0, e2) = e1
% 195.12/32.23    (58)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 195.12/32.23            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 195.12/32.23              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 195.12/32.23    (59)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.12/32.23          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.12/32.23    (60)   ~ (all_4_2 = e3)
% 195.12/32.23    (61)   ~ (all_52_8 = all_52_12)
% 195.12/32.23    (62)  op(e3, e2) = e3
% 195.12/32.23    (63)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.12/32.23    (64)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.12/32.23    (65)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.12/32.23          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.12/32.23    (66)  all_54_11 = all_52_14
% 195.12/32.23    (67)  op(e1, e1) = e2
% 195.12/32.23    (68)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.12/32.23    (69)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.12/32.23          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.12/32.23    (70)   ~ (e1 = e0)
% 195.12/32.23    (71)   ~ (all_52_1 = all_52_13)
% 195.12/32.23    (72)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.12/32.23    (73)   ~ (all_52_11 = e3)
% 195.12/32.23    (74)   ~ (all_52_8 = all_52_11)
% 195.12/32.23    (75)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.12/32.23          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.12/32.23    (76)  all_54_5 = all_4_2
% 195.12/32.23    (77)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.12/32.23          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.12/32.23    (78)   ~ (all_52_13 = all_52_14)
% 195.12/32.23    (79)   ~ (all_52_2 = all_52_6)
% 195.12/32.23    (80)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.12/32.23              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.12/32.23                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.12/32.23                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.12/32.23    (81)   ~ (e2 = e1)
% 195.12/32.23    (82)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.12/32.23          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.12/32.23    (83)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.12/32.23    (84)   ~ (all_52_13 = all_4_2)
% 195.12/32.23    (85)   ~ (all_52_12 = e1)
% 195.12/32.23    (86)   ~ (all_52_2 = e1)
% 195.12/32.23    (87)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.12/32.23          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.12/32.23    (88)  op(e3, e0) = all_52_12
% 195.12/32.23    (89)  all_36_2 = all_4_2
% 195.12/32.23    (90)   ~ (all_52_2 = all_52_3)
% 195.12/32.23    (91)   ~ (all_52_9 = all_4_2)
% 195.12/32.23    (92)  op(e2, e1) = all_52_9
% 195.12/32.23    (93)   ~ (all_52_1 = all_52_2)
% 195.12/32.23    (94)  all_56_1 = e3
% 195.12/32.23    (95)   ~ (all_52_6 = all_4_2)
% 195.12/32.23    (96)   ~ (all_52_4 = all_52_6)
% 195.12/32.23    (97)   ~ (all_52_1 = all_52_3)
% 195.12/32.23    (98)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 195.12/32.23            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 195.12/32.23              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 195.12/32.23    (99)  op(e3, e1) = all_52_8
% 195.12/32.23    (100)  op(e0, e0) = e3
% 195.12/32.23    (101)  op(e2, e2) = e0
% 195.12/32.23    (102)   ~ (all_52_9 = all_52_13)
% 195.12/32.23    (103)   ~ (e3 = e1)
% 195.12/32.23    (104)  all_54_1 = all_52_4
% 195.12/32.23    (105)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.12/32.23           (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.12/32.23    (106)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.12/32.23           (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.12/32.23    (107)  op(e0, e2) = all_52_7
% 195.12/32.23    (108)   ~ (e2 = e0)
% 195.12/32.23    (109)  op(e2, e3) = all_52_1
% 195.12/32.23    (110)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.12/32.23    (111)   ~ (e3 = e0)
% 195.12/32.23    (112)  all_32_2 = all_4_2
% 195.12/32.23    (113)   ~ (all_52_3 = all_52_11)
% 195.12/32.23    (114)  all_56_13 = e1
% 195.12/32.23  
% 195.12/32.23  Begin of proof
% 195.12/32.23  | 
% 195.12/32.23  | BETA: splitting (64) gives:
% 195.12/32.23  | 
% 195.12/32.23  | Case 1:
% 195.12/32.23  | | 
% 195.12/32.23  | |   (115)  all_56_5 = e1 & op(e2, e1) = e1
% 195.12/32.23  | | 
% 195.12/32.23  | | ALPHA: (115) implies:
% 195.12/32.23  | |   (116)  op(e2, e1) = e1
% 195.12/32.23  | | 
% 195.12/32.23  | | REF_CLOSE: (22), (23), (92), (116) are inconsistent by sub-proof #1755.
% 195.12/32.23  | | 
% 195.12/32.23  | Case 2:
% 195.12/32.23  | | 
% 195.12/32.23  | |   (117)  all_56_10 = e1 & op(e2, e0) = e1
% 195.12/32.23  | | 
% 195.12/32.23  | | ALPHA: (117) implies:
% 195.12/32.23  | |   (118)  all_56_10 = e1
% 195.12/32.23  | |   (119)  op(e2, e0) = e1
% 195.12/32.23  | | 
% 195.12/32.23  | | BETA: splitting (5) gives:
% 195.12/32.23  | | 
% 195.12/32.23  | | Case 1:
% 195.12/32.23  | | | 
% 195.12/32.24  | | |   (120)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 195.12/32.24  | | |            & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.12/32.24  | | |            $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.12/32.24  | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.12/32.24  | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.12/32.24  | | |                op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 195.12/32.24  | | |            all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 &
% 195.12/32.24  | | |            op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.12/32.24  | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.12/32.24  | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.12/32.24  | | |            ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.12/32.24  | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 &
% 195.12/32.24  | | |            all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) =
% 195.12/32.24  | | |            e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.12/32.24  | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.12/32.24  | | |                op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.12/32.24  | | |                op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.12/32.24  | | |                all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 195.12/32.24  | | |            & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.12/32.24  | | |            op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 195.12/32.24  | | |                = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.12/32.24  | | |                = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 195.12/32.24  | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.12/32.24  | | |                $i(all_57_2)))) | (all_57_2 = e3 & all_57_9 = e3 &
% 195.12/32.24  | | |            all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3)
% 195.12/32.24  | | |            = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12 =
% 195.12/32.24  | | |                e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.12/32.24  | | |                all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 195.12/32.24  | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.12/32.24  | | |                $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 195.12/32.24  | | |            all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.12/32.24  | | |            op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12
% 195.12/32.24  | | |                = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.12/32.24  | | |                = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 195.12/32.24  | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.12/32.24  | | |                $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.12/32.24  | | |            all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2)
% 195.12/32.24  | | |            = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 =
% 195.12/32.24  | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.12/32.24  | | |                all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) =
% 195.12/32.24  | | |                e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.12/32.24  | | |                $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 &
% 195.12/32.24  | | |            all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.12/32.24  | | |            op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 195.12/32.24  | | |                = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.12/32.24  | | |                = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 195.12/32.24  | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.12/32.24  | | |                $i(all_57_5))))
% 195.12/32.24  | | | 
% 195.12/32.24  | | | REF_CLOSE: (4), (22), (24), (25), (27), (34), (51), (60), (62), (70),
% 195.12/32.24  | | |            (81), (86), (88), (99), (101), (120) are inconsistent by
% 195.12/32.24  | | |            sub-proof #458.
% 195.12/32.24  | | | 
% 195.12/32.24  | | Case 2:
% 195.12/32.24  | | | 
% 195.12/32.24  | | |   (121)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 195.12/32.24  | | |            e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15
% 195.12/32.24  | | |            & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.12/32.24  | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.12/32.24  | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 195.12/32.24  | | |                op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0
% 195.12/32.24  | | |            & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 195.12/32.24  | | |            op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.12/32.24  | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.12/32.24  | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.12/32.24  | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.12/32.24  | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 195.12/32.24  | | |            all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0)
% 195.12/32.24  | | |            = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15)
% 195.12/32.24  | | |            & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.12/32.24  | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.12/32.24  | | |                op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.12/32.24  | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 195.12/32.24  | | |            e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 195.12/32.24  | | |            & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.12/32.24  | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.12/32.24  | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 195.12/32.24  | | |                op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.12/32.24  | | |                all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3) =
% 195.12/32.24  | | |            e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.12/32.24  | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.12/32.24  | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.12/32.24  | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.12/32.24  | | |                e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.12/32.24  | | |                $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 195.12/32.24  | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.12/32.24  | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 195.12/32.24  | | |                op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.12/32.24  | | |                all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 195.12/32.24  | | |                e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.12/32.24  | | |                $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 195.12/32.24  | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.12/32.24  | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 195.12/32.24  | | |                op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.12/32.24  | | |                all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 195.12/32.24  | | |                e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.12/32.24  | | |                $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 195.12/32.24  | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.12/32.24  | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.12/32.24  | | |                op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.12/32.24  | | |                all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 195.12/32.24  | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.12/32.24  | | |                $i(all_57_13))))
% 195.12/32.24  | | | 
% 195.12/32.24  | | | BETA: splitting (121) gives:
% 195.12/32.24  | | | 
% 195.12/32.24  | | | Case 1:
% 195.12/32.24  | | | | 
% 195.12/32.24  | | | |   (122)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 195.12/32.24  | | | |            e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 195.12/32.24  | | | |            all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 195.12/32.24  | | | |                e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.12/32.24  | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 195.12/32.24  | | | |                ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.12/32.24  | | | |                $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 195.12/32.24  | | | |            all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.12/32.24  | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.12/32.24  | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.12/32.24  | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.12/32.24  | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.12/32.24  | | | |                all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 =
% 195.12/32.24  | | | |            e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 &
% 195.12/32.24  | | | |            op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.12/32.24  | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.12/32.24  | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 195.12/32.24  | | | |                & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.12/32.24  | | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13
% 195.12/32.24  | | | |            = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.12/32.24  | | | |            e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.12/32.24  | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.12/32.24  | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.12/32.24  | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.12/32.24  | | | |                all_57_7 & $i(all_57_7))))
% 195.12/32.24  | | | | 
% 195.12/32.24  | | | | BETA: splitting (122) gives:
% 195.12/32.24  | | | | 
% 195.12/32.24  | | | | Case 1:
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | |   (123)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2)
% 195.12/32.24  | | | | |            = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 195.12/32.24  | | | | |            all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 195.12/32.24  | | | | |                e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.12/32.24  | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) |
% 195.12/32.24  | | | | |              ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.12/32.24  | | | | |                $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 195.12/32.24  | | | | |            all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.12/32.24  | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.12/32.24  | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.12/32.24  | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 195.12/32.24  | | | | |                e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 195.12/32.24  | | | | |                  e2) = all_57_4 & $i(all_57_4))))
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | | REF_CLOSE: (20), (22), (27), (41), (62), (81), (123) are inconsistent
% 195.12/32.24  | | | | |            by sub-proof #526.
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | Case 2:
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | |   (124)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 195.12/32.24  | | | | |            = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 195.12/32.24  | | | | |            all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 195.12/32.24  | | | | |                e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.12/32.24  | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) |
% 195.12/32.24  | | | | |              ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.12/32.24  | | | | |                $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 195.12/32.24  | | | | |            all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.12/32.24  | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.12/32.24  | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.12/32.24  | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 195.12/32.24  | | | | |                e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 195.12/32.24  | | | | |                  e1) = all_57_7 & $i(all_57_7))))
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | | REF_CLOSE: (22), (67), (100), (103), (108), (124) are inconsistent by
% 195.12/32.24  | | | | |            sub-proof #457.
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | End of split
% 195.12/32.24  | | | | 
% 195.12/32.24  | | | Case 2:
% 195.12/32.24  | | | | 
% 195.12/32.24  | | | |   (125)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 195.12/32.24  | | | |                  e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 195.12/32.24  | | | |                & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) |
% 195.12/32.24  | | | |              ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.12/32.24  | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) | (
% 195.12/32.24  | | | |                ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.12/32.24  | | | |                $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 195.12/32.24  | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.12/32.24  | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.12/32.24  | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.12/32.24  | | | |                all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.12/32.24  | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.12/32.24  | | | |                $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 195.12/32.24  | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.12/32.24  | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.12/32.24  | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.12/32.24  | | | |                all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.12/32.24  | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.12/32.24  | | | |                $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 195.12/32.24  | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.12/32.24  | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 195.12/32.24  | | | |                & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.12/32.24  | | | |                all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.12/32.24  | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.12/32.24  | | | |                all_57_13 & $i(all_57_13))))
% 195.12/32.24  | | | | 
% 195.12/32.24  | | | | BETA: splitting (125) gives:
% 195.12/32.24  | | | | 
% 195.12/32.24  | | | | Case 1:
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | |   (126)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 195.12/32.24  | | | | |                  e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.12/32.24  | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 195.12/32.24  | | | | |                  e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.12/32.24  | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.12/32.24  | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.12/32.24  | | | | |                all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 195.12/32.24  | | | | |              e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.12/32.24  | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.12/32.24  | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) |
% 195.12/32.24  | | | | |              ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.12/32.24  | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.12/32.24  | | | | |              ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.12/32.24  | | | | |                $i(all_57_5))))
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | | BETA: splitting (126) gives:
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | | Case 1:
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | |   (127)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 195.12/32.24  | | | | | |              op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.12/32.24  | | | | | |              all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 195.12/32.24  | | | | | |                e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.12/32.24  | | | | | |              all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.12/32.24  | | | | | |                e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.12/32.24  | | | | | |              all_57_2 & $i(all_57_2)))
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | | ALPHA: (127) implies:
% 195.12/32.24  | | | | | |   (128)  op(e3, e3) = e3
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | | REF_CLOSE: (14), (21), (22), (49), (65), (70), (81), (85), (88),
% 195.12/32.24  | | | | | |            (94), (103), (108), (111), (128) are inconsistent by
% 195.12/32.24  | | | | | |            sub-proof #891.
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | Case 2:
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | |   (129)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 &
% 195.12/32.24  | | | | | |              op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.12/32.24  | | | | | |              all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 195.12/32.24  | | | | | |                e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.12/32.24  | | | | | |              all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.12/32.24  | | | | | |                e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.12/32.24  | | | | | |              all_57_5 & $i(all_57_5)))
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | | ALPHA: (129) implies:
% 195.12/32.24  | | | | | |   (130)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.12/32.24  | | | | | |            op(e3, e2) = all_57_3 & $i(all_57_3))
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | | REF_CLOSE: (22), (27), (62), (81), (130) are inconsistent by
% 195.12/32.24  | | | | | |            sub-proof #1888.
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | End of split
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | Case 2:
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | |   (131)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 195.12/32.24  | | | | |                  e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.12/32.24  | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 195.12/32.24  | | | | |                  e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.12/32.24  | | | | |                all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.12/32.24  | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.12/32.24  | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 195.12/32.24  | | | | |              e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.12/32.24  | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.12/32.24  | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) |
% 195.12/32.24  | | | | |              ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.12/32.24  | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) |
% 195.12/32.24  | | | | |              ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.12/32.24  | | | | |                $i(all_57_13))))
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | | BETA: splitting (131) gives:
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | | Case 1:
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | |   (132)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 195.12/32.24  | | | | | |              op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.12/32.24  | | | | | |              all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 195.12/32.24  | | | | | |                e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.12/32.24  | | | | | |              all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.12/32.24  | | | | | |                e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.12/32.24  | | | | | |              all_57_8 & $i(all_57_8)))
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | | ALPHA: (132) implies:
% 195.12/32.24  | | | | | |   (133)  op(e1, e1) = e1
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 195.12/32.24  | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (21),
% 195.12/32.24  | | | | | |            (22), (24), (25), (26), (27), (28), (29), (30), (31),
% 195.12/32.24  | | | | | |            (32), (33), (34), (35), (36), (37), (38), (39), (40),
% 195.12/32.24  | | | | | |            (41), (42), (43), (44), (45), (46), (47), (48), (49),
% 195.12/32.24  | | | | | |            (50), (52), (53), (54), (55), (56), (57), (58), (59),
% 195.12/32.24  | | | | | |            (60), (61), (63), (65), (66), (68), (69), (70), (71),
% 195.12/32.24  | | | | | |            (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 195.12/32.24  | | | | | |            (81), (82), (83), (84), (86), (87), (88), (89), (90),
% 195.12/32.24  | | | | | |            (91), (92), (93), (95), (96), (97), (98), (99), (100),
% 195.12/32.24  | | | | | |            (102), (104), (105), (106), (107), (108), (109), (110),
% 195.12/32.24  | | | | | |            (112), (113), (114), (118), (119), (133) are inconsistent
% 195.12/32.24  | | | | | |            by sub-proof #1053.
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | Case 2:
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | |   (134)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 &
% 195.12/32.24  | | | | | |              op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 195.12/32.24  | | | | | |              all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.12/32.24  | | | | | |                e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.12/32.24  | | | | | |              all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.12/32.24  | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.12/32.24  | | | | | |              all_57_13 & $i(all_57_13)))
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | | ALPHA: (134) implies:
% 195.12/32.24  | | | | | |   (135)  op(e0, e0) = e0
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | | REF_CLOSE: (22), (100), (111), (135) are inconsistent by sub-proof
% 195.12/32.24  | | | | | |            #1947.
% 195.12/32.24  | | | | | | 
% 195.12/32.24  | | | | | End of split
% 195.12/32.24  | | | | | 
% 195.12/32.24  | | | | End of split
% 195.12/32.24  | | | | 
% 195.12/32.24  | | | End of split
% 195.12/32.24  | | | 
% 195.12/32.24  | | End of split
% 195.12/32.24  | | 
% 195.12/32.24  | End of split
% 195.12/32.24  | 
% 195.12/32.24  End of proof
% 195.12/32.24  
% 195.12/32.24  Sub-proof #457 shows that the following formulas are inconsistent:
% 195.12/32.24  ----------------------------------------------------------------
% 195.12/32.24    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.24    (2)  op(e1, e1) = e2
% 195.12/32.24    (3)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.12/32.24           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.12/32.24           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.12/32.24                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.12/32.24               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.12/32.24               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 195.12/32.24           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 195.12/32.24             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.12/32.24               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.12/32.24           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.12/32.24               = all_57_7 & $i(all_57_7))))
% 195.12/32.24    (4)  op(e0, e0) = e3
% 195.12/32.24    (5)   ~ (e3 = e1)
% 195.12/32.24    (6)   ~ (e2 = e0)
% 195.12/32.24  
% 195.12/32.24  Begin of proof
% 195.12/32.24  | 
% 195.12/32.24  | BETA: splitting (3) gives:
% 195.12/32.24  | 
% 195.12/32.24  | Case 1:
% 195.12/32.24  | | 
% 195.12/32.24  | |   (7)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.12/32.24  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.12/32.24  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.12/32.24  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 195.12/32.24  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.12/32.24  | |            all_57_11 & $i(all_57_11)))
% 195.12/32.24  | | 
% 195.12/32.24  | | ALPHA: (7) implies:
% 195.12/32.24  | |   (8)  op(e1, e1) = e0
% 195.12/32.24  | | 
% 195.12/32.24  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1821.
% 195.12/32.24  | | 
% 195.12/32.24  | Case 2:
% 195.12/32.24  | | 
% 195.12/32.24  | |   (9)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.12/32.24  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.12/32.24  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.12/32.24  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.12/32.24  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 195.12/32.24  | |            & $i(all_57_7)))
% 195.12/32.24  | | 
% 195.12/32.24  | | ALPHA: (9) implies:
% 195.12/32.24  | |   (10)  op(e0, e0) = e1
% 195.12/32.24  | | 
% 195.12/32.24  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1392.
% 195.12/32.24  | | 
% 195.12/32.24  | End of split
% 195.12/32.24  | 
% 195.12/32.24  End of proof
% 195.12/32.24  
% 195.12/32.24  Sub-proof #458 shows that the following formulas are inconsistent:
% 195.12/32.24  ----------------------------------------------------------------
% 195.12/32.24    (1)  op(e1, e3) = all_52_2
% 195.12/32.24    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.24    (3)  op(e3, e2) = all_52_4
% 195.12/32.24    (4)  op(e2, e2) = all_4_2
% 195.12/32.24    (5)  op(e3, e3) = e1
% 195.12/32.24    (6)   ~ (all_52_4 = all_52_8)
% 195.12/32.24    (7)   ~ (all_52_12 = e0)
% 195.12/32.24    (8)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.12/32.24           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.12/32.24           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.12/32.24                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.12/32.24               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.12/32.24               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.12/32.24           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.12/32.24           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.12/32.24               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.12/32.24           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.12/32.24               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.12/32.24           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.12/32.24           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.12/32.24               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.12/32.24               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.12/32.24               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.12/32.24         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.12/32.24           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.12/32.24           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.12/32.24               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.12/32.24             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.12/32.24         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.12/32.24           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.12/32.24           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.12/32.24                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.12/32.24               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.12/32.24               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.12/32.24           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.12/32.24           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.12/32.24             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.12/32.24           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.12/32.24               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.12/32.24           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.12/32.24           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.12/32.24               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.12/32.24               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.12/32.24               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.12/32.24         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.12/32.24           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.12/32.24           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.12/32.24               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.12/32.24             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.12/32.24    (9)   ~ (all_4_2 = e3)
% 195.12/32.24    (10)  op(e3, e2) = e3
% 195.12/32.24    (11)   ~ (e1 = e0)
% 195.12/32.24    (12)   ~ (e2 = e1)
% 195.12/32.24    (13)   ~ (all_52_2 = e1)
% 195.12/32.24    (14)  op(e3, e0) = all_52_12
% 195.12/32.24    (15)  op(e3, e1) = all_52_8
% 195.12/32.24    (16)  op(e2, e2) = e0
% 195.12/32.24  
% 195.12/32.24  Begin of proof
% 195.12/32.24  | 
% 195.12/32.24  | BETA: splitting (8) gives:
% 195.12/32.24  | 
% 195.12/32.24  | Case 1:
% 195.12/32.24  | | 
% 195.12/32.24  | |   (17)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.12/32.24  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.12/32.24  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.12/32.24  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.12/32.24  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.12/32.24  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 195.12/32.24  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.12/32.24  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 195.12/32.24  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.12/32.24  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.12/32.24  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.12/32.24  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 195.12/32.24  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 195.12/32.24  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.12/32.24  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.12/32.24  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.12/32.24  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.12/32.24  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.12/32.24  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.12/32.24  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.12/32.24  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.12/32.24  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.12/32.24  | |                 e3) = all_57_2 & $i(all_57_2))))
% 195.12/32.24  | | 
% 195.12/32.24  | | BETA: splitting (17) gives:
% 195.12/32.24  | | 
% 195.12/32.24  | | Case 1:
% 195.12/32.24  | | | 
% 195.12/32.24  | | |   (18)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 195.12/32.24  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.12/32.24  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.12/32.24  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.12/32.24  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.12/32.24  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 195.12/32.24  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.12/32.24  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 195.12/32.24  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.12/32.24  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 195.12/32.24  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.12/32.24  | | |               all_57_2 & $i(all_57_2))))
% 195.12/32.24  | | | 
% 195.12/32.24  | | | REF_CLOSE: (2), (4), (5), (9), (12), (18) are inconsistent by sub-proof
% 195.12/32.24  | | |            #1893.
% 195.12/32.24  | | | 
% 195.12/32.24  | | Case 2:
% 195.12/32.24  | | | 
% 195.12/32.24  | | |   (19)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 195.12/32.24  | | |           & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.12/32.24  | | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.12/32.24  | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.12/32.24  | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 195.12/32.24  | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 &
% 195.12/32.24  | | |           all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.12/32.24  | | |             e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.12/32.24  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.12/32.24  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 &
% 195.12/32.24  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.12/32.24  | | |               all_57_2 & $i(all_57_2))))
% 195.12/32.24  | | | 
% 195.12/32.24  | | | REF_CLOSE: (1), (2), (3), (6), (10), (13), (15), (19) are inconsistent by
% 195.12/32.24  | | |            sub-proof #459.
% 195.12/32.24  | | | 
% 195.12/32.24  | | End of split
% 195.12/32.24  | | 
% 195.12/32.24  | Case 2:
% 195.12/32.24  | | 
% 195.12/32.24  | |   (20)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.12/32.24  | |           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.12/32.24  | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.12/32.24  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.12/32.24  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 195.12/32.24  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 195.12/32.24  | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.12/32.24  | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.12/32.24  | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 195.12/32.24  | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 195.12/32.24  | |                 e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.12/32.24  | |               $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 =
% 195.12/32.24  | |           e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 195.12/32.24  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.12/32.24  | |               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.12/32.24  | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.12/32.24  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.12/32.24  | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 195.12/32.24  | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.12/32.24  | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.12/32.24  | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.12/32.24  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.12/32.24  | |                 e2) = all_57_5 & $i(all_57_5))))
% 195.12/32.24  | | 
% 195.12/32.24  | | BETA: splitting (20) gives:
% 195.12/32.24  | | 
% 195.12/32.24  | | Case 1:
% 195.12/32.24  | | | 
% 195.12/32.24  | | |   (21)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 195.12/32.24  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.12/32.24  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.12/32.24  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 195.12/32.24  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 195.12/32.24  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 195.12/32.24  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.12/32.24  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.12/32.24  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.12/32.24  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 195.12/32.24  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.12/32.24  | | |               all_57_1 & $i(all_57_1))))
% 195.12/32.24  | | | 
% 195.12/32.24  | | | REF_CLOSE: (2), (5), (7), (11), (14), (21) are inconsistent by sub-proof
% 195.12/32.24  | | |            #1732.
% 195.12/32.24  | | | 
% 195.12/32.24  | | Case 2:
% 195.12/32.24  | | | 
% 195.12/32.25  | | |   (22)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1
% 195.12/32.25  | | |           & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.12/32.25  | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.12/32.25  | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.12/32.25  | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 195.12/32.25  | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 &
% 195.12/32.25  | | |           all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 195.12/32.25  | | |             e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.12/32.25  | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.12/32.25  | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 &
% 195.12/32.25  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.12/32.25  | | |               all_57_5 & $i(all_57_5))))
% 195.12/32.25  | | | 
% 195.12/32.25  | | | REF_CLOSE: (2), (5), (10), (11), (12), (16), (22) are inconsistent by
% 195.12/32.25  | | |            sub-proof #1378.
% 195.12/32.25  | | | 
% 195.12/32.25  | | End of split
% 195.12/32.25  | | 
% 195.12/32.25  | End of split
% 195.12/32.25  | 
% 195.12/32.25  End of proof
% 195.12/32.25  
% 195.12/32.25  Sub-proof #459 shows that the following formulas are inconsistent:
% 195.12/32.25  ----------------------------------------------------------------
% 195.12/32.25    (1)  op(e1, e3) = all_52_2
% 195.12/32.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.25    (3)  op(e3, e2) = all_52_4
% 195.12/32.25    (4)   ~ (all_52_4 = all_52_8)
% 195.12/32.25    (5)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.12/32.25           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.12/32.25           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.12/32.25                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.12/32.25               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.12/32.25               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.12/32.25           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 195.12/32.25           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.12/32.25               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.12/32.25           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.12/32.25               = all_57_2 & $i(all_57_2))))
% 195.12/32.25    (6)  op(e3, e2) = e3
% 195.12/32.25    (7)   ~ (all_52_2 = e1)
% 195.12/32.25    (8)  op(e3, e1) = all_52_8
% 195.12/32.25  
% 195.12/32.25  Begin of proof
% 195.12/32.25  | 
% 195.12/32.25  | BETA: splitting (5) gives:
% 195.12/32.25  | 
% 195.12/32.25  | Case 1:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (9)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.12/32.25  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.12/32.25  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.12/32.25  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 195.12/32.25  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 195.12/32.25  | |            & $i(all_57_8)))
% 195.12/32.25  | | 
% 195.12/32.25  | | ALPHA: (9) implies:
% 195.12/32.25  | |   (10)  op(e3, e1) = e3
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (2), (3), (4), (6), (8), (10) are inconsistent by sub-proof #497.
% 195.12/32.25  | | 
% 195.12/32.25  | Case 2:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (11)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.12/32.25  | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.12/32.25  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.12/32.25  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 195.12/32.25  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.12/32.25  | |             all_57_2 & $i(all_57_2)))
% 195.12/32.25  | | 
% 195.12/32.25  | | ALPHA: (11) implies:
% 195.12/32.25  | |   (12)  op(e1, e3) = e1
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (1), (2), (7), (12) are inconsistent by sub-proof #1974.
% 195.12/32.25  | | 
% 195.12/32.25  | End of split
% 195.12/32.25  | 
% 195.12/32.25  End of proof
% 195.12/32.25  
% 195.12/32.25  Sub-proof #460 shows that the following formulas are inconsistent:
% 195.12/32.25  ----------------------------------------------------------------
% 195.12/32.25    (1)   ~ (all_52_11 = e1)
% 195.12/32.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.25    (3)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.12/32.25    (4)  op(e0, e1) = all_52_11
% 195.12/32.25    (5)  op(e1, e1) = e2
% 195.12/32.25    (6)   ~ (e2 = e1)
% 195.12/32.25  
% 195.12/32.25  Begin of proof
% 195.12/32.25  | 
% 195.12/32.25  | BETA: splitting (3) gives:
% 195.12/32.25  | 
% 195.12/32.25  | Case 1:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 195.12/32.25  | | 
% 195.12/32.25  | | ALPHA: (7) implies:
% 195.12/32.25  | |   (8)  op(e1, e1) = e1
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1955.
% 195.12/32.25  | | 
% 195.12/32.25  | Case 2:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (9)  all_56_14 = e1 & op(e0, e1) = e1
% 195.12/32.25  | | 
% 195.12/32.25  | | ALPHA: (9) implies:
% 195.12/32.25  | |   (10)  op(e0, e1) = e1
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1885.
% 195.12/32.25  | | 
% 195.12/32.25  | End of split
% 195.12/32.25  | 
% 195.12/32.25  End of proof
% 195.12/32.25  
% 195.12/32.25  Sub-proof #461 shows that the following formulas are inconsistent:
% 195.12/32.25  ----------------------------------------------------------------
% 195.12/32.25    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.25    (2)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.12/32.25           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.12/32.25           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.12/32.25                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.12/32.25               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.12/32.25               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.12/32.25           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.12/32.25             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.12/32.25               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.12/32.25           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.12/32.25               = all_57_4 & $i(all_57_4))))
% 195.12/32.25    (3)  op(e2, e0) = all_52_13
% 195.12/32.25    (4)  op(e1, e1) = e2
% 195.12/32.25    (5)  op(e1, e0) = e1
% 195.12/32.25    (6)   ~ (all_52_13 = e0)
% 195.12/32.25    (7)   ~ (e2 = e0)
% 195.12/32.25  
% 195.12/32.25  Begin of proof
% 195.12/32.25  | 
% 195.12/32.25  | BETA: splitting (2) gives:
% 195.12/32.25  | 
% 195.12/32.25  | Case 1:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (8)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.12/32.25  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.12/32.25  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.12/32.25  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 195.12/32.25  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.12/32.25  | |            all_57_13 & $i(all_57_13)))
% 195.12/32.25  | | 
% 195.12/32.25  | | ALPHA: (8) implies:
% 195.12/32.25  | |   (9)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.12/32.25  | |            e0) = all_57_13 & $i(all_57_13))
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (1), (4), (5), (7), (9) are inconsistent by sub-proof #496.
% 195.12/32.25  | | 
% 195.12/32.25  | Case 2:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (10)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.12/32.25  | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.12/32.25  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 195.12/32.25  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 195.12/32.25  | |             e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.12/32.25  | |             all_57_4 & $i(all_57_4)))
% 195.12/32.25  | | 
% 195.12/32.25  | | ALPHA: (10) implies:
% 195.12/32.25  | |   (11)  op(e2, e0) = e0
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (1), (3), (6), (11) are inconsistent by sub-proof #1173.
% 195.12/32.25  | | 
% 195.12/32.25  | End of split
% 195.12/32.25  | 
% 195.12/32.25  End of proof
% 195.12/32.25  
% 195.12/32.25  Sub-proof #462 shows that the following formulas are inconsistent:
% 195.12/32.25  ----------------------------------------------------------------
% 195.12/32.25    (1)  op(e1, e3) = all_52_2
% 195.12/32.25    (2)  all_54_4 = all_52_1
% 195.12/32.25    (3)   ~ (all_52_1 = e0)
% 195.12/32.25    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.25    (5)   ~ (all_52_1 = e1)
% 195.12/32.25    (6)  op(e1, e3) = e3
% 195.12/32.25    (7)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.12/32.25    (8)   ~ (all_52_1 = e2)
% 195.12/32.25    (9)   ~ (all_52_1 = all_52_2)
% 195.12/32.25  
% 195.12/32.25  Begin of proof
% 195.12/32.25  | 
% 195.12/32.25  | BETA: splitting (7) gives:
% 195.12/32.25  | 
% 195.12/32.25  | Case 1:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (10)  all_54_4 = e3
% 195.12/32.25  | | 
% 195.12/32.25  | | COMBINE_EQS: (2), (10) imply:
% 195.12/32.25  | |   (11)  all_52_1 = e3
% 195.12/32.25  | | 
% 195.12/32.25  | | SIMP: (11) implies:
% 195.12/32.25  | |   (12)  all_52_1 = e3
% 195.12/32.25  | | 
% 195.12/32.25  | | REDUCE: (9), (12) imply:
% 195.12/32.25  | |   (13)   ~ (all_52_2 = e3)
% 195.12/32.25  | | 
% 195.12/32.25  | | SIMP: (13) implies:
% 195.12/32.25  | |   (14)   ~ (all_52_2 = e3)
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (1), (4), (6), (14) are inconsistent by sub-proof #1179.
% 195.12/32.25  | | 
% 195.12/32.25  | Case 2:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (15)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (2), (3), (5), (8), (15) are inconsistent by sub-proof #1829.
% 195.12/32.25  | | 
% 195.12/32.25  | End of split
% 195.12/32.25  | 
% 195.12/32.25  End of proof
% 195.12/32.25  
% 195.12/32.25  Sub-proof #463 shows that the following formulas are inconsistent:
% 195.12/32.25  ----------------------------------------------------------------
% 195.12/32.25    (1)   ~ (e3 = e2)
% 195.12/32.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.25    (3)  op(e3, e3) = e1
% 195.12/32.25    (4)   ~ (all_52_12 = e2)
% 195.12/32.25    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 195.12/32.25         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 195.12/32.25    (6)  op(e3, e2) = e3
% 195.12/32.25    (7)   ~ (all_52_8 = e2)
% 195.12/32.25    (8)   ~ (e2 = e1)
% 195.12/32.25    (9)  op(e3, e0) = all_52_12
% 195.12/32.25    (10)  op(e3, e1) = all_52_8
% 195.12/32.25  
% 195.12/32.25  Begin of proof
% 195.12/32.25  | 
% 195.12/32.25  | BETA: splitting (5) gives:
% 195.12/32.25  | 
% 195.12/32.25  | Case 1:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 195.12/32.25  | |           e2)
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (1), (2), (3), (6), (8), (11) are inconsistent by sub-proof
% 195.12/32.25  | |            #1211.
% 195.12/32.25  | | 
% 195.12/32.25  | Case 2:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 195.12/32.25  | |           e2)
% 195.12/32.25  | | 
% 195.12/32.25  | | BETA: splitting (12) gives:
% 195.12/32.25  | | 
% 195.12/32.25  | | Case 1:
% 195.12/32.25  | | | 
% 195.12/32.25  | | |   (13)  all_56_4 = e2 & op(e3, e1) = e2
% 195.12/32.25  | | | 
% 195.12/32.25  | | | REF_CLOSE: (2), (7), (10), (13) are inconsistent by sub-proof #810.
% 195.12/32.25  | | | 
% 195.12/32.25  | | Case 2:
% 195.12/32.25  | | | 
% 195.12/32.25  | | |   (14)  all_56_9 = e2 & op(e3, e0) = e2
% 195.12/32.25  | | | 
% 195.12/32.25  | | | REF_CLOSE: (2), (4), (9), (14) are inconsistent by sub-proof #737.
% 195.12/32.25  | | | 
% 195.12/32.25  | | End of split
% 195.12/32.25  | | 
% 195.12/32.25  | End of split
% 195.12/32.25  | 
% 195.12/32.25  End of proof
% 195.12/32.25  
% 195.12/32.25  Sub-proof #464 shows that the following formulas are inconsistent:
% 195.12/32.25  ----------------------------------------------------------------
% 195.12/32.25    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.25    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.12/32.25             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.12/32.25           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 195.12/32.25           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.12/32.25           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.12/32.25           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 195.12/32.25    (3)  op(e3, e1) = e3
% 195.12/32.25    (4)  op(e0, e0) = e3
% 195.12/32.25    (5)   ~ (e3 = e1)
% 195.12/32.25  
% 195.12/32.25  Begin of proof
% 195.12/32.25  | 
% 195.12/32.25  | BETA: splitting (2) gives:
% 195.12/32.25  | 
% 195.12/32.25  | Case 1:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (6)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.12/32.25  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.12/32.25  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 195.12/32.25  | | 
% 195.12/32.25  | | ALPHA: (6) implies:
% 195.12/32.25  | |   (7)  op(e0, e0) = e1
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1392.
% 195.12/32.25  | | 
% 195.12/32.25  | Case 2:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (8)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 195.12/32.25  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.12/32.25  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 195.12/32.25  | | 
% 195.12/32.25  | | ALPHA: (8) implies:
% 195.12/32.25  | |   (9)   ~ (all_57_6 = e3)
% 195.12/32.25  | |   (10)  op(e3, e1) = all_57_6
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (1), (3), (9), (10) are inconsistent by sub-proof #675.
% 195.12/32.25  | | 
% 195.12/32.25  | End of split
% 195.12/32.25  | 
% 195.12/32.25  End of proof
% 195.12/32.25  
% 195.12/32.25  Sub-proof #465 shows that the following formulas are inconsistent:
% 195.12/32.25  ----------------------------------------------------------------
% 195.12/32.25    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 195.12/32.25             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.12/32.25           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 195.12/32.25           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.12/32.25           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 195.12/32.25           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 195.12/32.25    (2)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.12/32.25           all_57_3 & $i(all_57_3))
% 195.12/32.25    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.25  
% 195.12/32.25  Begin of proof
% 195.12/32.25  | 
% 195.12/32.25  | BETA: splitting (1) gives:
% 195.12/32.25  | 
% 195.12/32.25  | Case 1:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (4)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 195.12/32.25  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.12/32.25  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 195.12/32.25  | | 
% 195.12/32.25  | | ALPHA: (4) implies:
% 195.12/32.25  | |   (5)   ~ (all_57_10 = e2)
% 195.12/32.25  | |   (6)  op(e3, e2) = e3
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (2), (3), (5), (6) are inconsistent by sub-proof #814.
% 195.12/32.25  | | 
% 195.12/32.25  | Case 2:
% 195.12/32.25  | | 
% 195.12/32.25  | |   (7)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 195.12/32.25  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.12/32.25  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 195.12/32.25  | | 
% 195.12/32.25  | | ALPHA: (7) implies:
% 195.12/32.25  | |   (8)   ~ (all_57_10 = e2)
% 195.12/32.25  | |   (9)  op(e3, e2) = e3
% 195.12/32.25  | | 
% 195.12/32.25  | | REF_CLOSE: (2), (3), (8), (9) are inconsistent by sub-proof #814.
% 195.12/32.25  | | 
% 195.12/32.25  | End of split
% 195.12/32.25  | 
% 195.12/32.25  End of proof
% 195.12/32.25  
% 195.12/32.25  Sub-proof #466 shows that the following formulas are inconsistent:
% 195.12/32.25  ----------------------------------------------------------------
% 195.12/32.25    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.12/32.25         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.12/32.25    (2)  all_56_7 = e1 & op(e1, e2) = e1
% 195.12/32.25    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.12/32.25         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.12/32.25    (4)   ~ (e3 = e2)
% 195.12/32.25    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.25    (6)  op(e3, e3) = e1
% 195.12/32.25    (7)  all_56_7 = e3
% 195.12/32.25    (8)  all_56_2 = e3
% 195.12/32.25    (9)   ~ (e1 = e0)
% 195.12/32.25    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.12/32.25          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.12/32.25    (11)   ~ (e2 = e1)
% 195.12/32.25    (12)   ~ (e3 = e1)
% 195.12/32.25    (13)   ~ (e2 = e0)
% 195.12/32.25    (14)   ~ (e3 = e0)
% 195.12/32.25  
% 195.12/32.25  Begin of proof
% 195.12/32.25  | 
% 195.12/32.25  | ALPHA: (2) implies:
% 195.12/32.25  |   (15)  all_56_7 = e1
% 195.12/32.25  | 
% 195.12/32.25  | COMBINE_EQS: (7), (15) imply:
% 195.12/32.25  |   (16)  e3 = e1
% 195.12/32.25  | 
% 195.12/32.25  | COMBINE_EQS: (8), (16) imply:
% 195.12/32.25  |   (17)  all_56_2 = e1
% 195.12/32.25  | 
% 195.12/32.25  | REF_CLOSE: (1), (3), (4), (5), (6), (9), (10), (11), (12), (13), (14), (17)
% 195.12/32.25  |            are inconsistent by sub-proof #1844.
% 195.12/32.25  | 
% 195.12/32.25  End of proof
% 195.12/32.25  
% 195.12/32.25  Sub-proof #467 shows that the following formulas are inconsistent:
% 195.12/32.25  ----------------------------------------------------------------
% 195.12/32.25    (1)   ~ (all_52_1 = all_4_2)
% 195.12/32.25    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.12/32.25         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.12/32.25    (3)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.12/32.25    (4)  op(e1, e3) = all_52_2
% 195.12/32.25    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.12/32.25           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.12/32.25           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.12/32.25                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.12/32.25               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.12/32.25               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.12/32.25           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.12/32.25           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.12/32.25               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.12/32.25           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.12/32.25               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.12/32.25           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.12/32.25           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.12/32.25               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.12/32.25               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.12/32.25               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.12/32.25         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.12/32.25           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.12/32.25           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.12/32.25               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.12/32.25             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.12/32.25         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.12/32.25           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.12/32.25           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.12/32.25                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.12/32.25               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.12/32.25               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.12/32.25           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.12/32.25           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.12/32.25             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.12/32.25           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.12/32.25               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.12/32.25           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.12/32.25           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.12/32.25               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.12/32.25               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.12/32.25               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.12/32.25         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.12/32.25           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.12/32.25           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.12/32.25               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.12/32.25             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.12/32.25         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.12/32.25           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.12/32.25           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.12/32.25                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.12/32.25               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.12/32.25               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.12/32.25           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.12/32.25             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.12/32.25               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.12/32.25           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.12/32.25               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.12/32.25           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.12/32.25           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.12/32.25               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.12/32.25               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.12/32.25               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.12/32.25         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.12/32.25           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.12/32.25           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.12/32.25               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.12/32.25             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.12/32.25         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.12/32.25             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.12/32.25           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.12/32.25               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.12/32.25             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.12/32.25         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.12/32.25             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.12/32.25           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.12/32.25               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.12/32.25             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.12/32.25         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.12/32.25             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.12/32.25           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.12/32.25               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.12/32.25             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.12/32.25         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.12/32.25             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.12/32.25           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.12/32.25               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.12/32.25             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.12/32.25    (6)  all_54_4 = all_52_1
% 195.12/32.25    (7)   ~ (all_52_13 = e3)
% 195.12/32.25    (8)  op(e1, e2) = all_52_6
% 195.12/32.25    (9)  all_54_7 = all_52_13
% 195.12/32.25    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.12/32.25          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.12/32.25    (11)   ~ (all_52_7 = all_4_2)
% 195.12/32.25    (12)   ~ (all_52_3 = e3)
% 195.12/32.25    (13)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.12/32.25          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.12/32.25    (14)   ~ (all_52_1 = all_52_9)
% 195.12/32.25    (15)   ~ (all_52_6 = all_52_7)
% 195.12/32.25    (16)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.12/32.25          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.12/32.25    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.12/32.25          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.12/32.25    (18)  all_54_2 = all_52_8
% 195.12/32.25    (19)   ~ (all_34_2 = e2) | ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 &
% 195.12/32.25            op(e1, e2) = all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~ (all_34_1 =
% 195.12/32.25              e3) & op(e1, e2) = all_34_1 & $i(all_34_1))
% 195.12/32.25    (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.12/32.25          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.12/32.25    (21)   ~ (e3 = e2)
% 195.12/32.25    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.12/32.25            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.12/32.25    (23)  op(e3, e2) = all_52_4
% 195.12/32.25    (24)  op(e2, e2) = all_4_2
% 195.12/32.25    (25)   ~ (all_52_7 = all_52_11)
% 195.12/32.25    (26)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 195.12/32.25          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.12/32.25    (27)  all_48_2 = e3
% 195.12/32.25    (28)   ~ (all_52_3 = all_52_7)
% 195.12/32.25    (29)   ~ (all_52_4 = all_52_8)
% 195.12/32.25    (30)  all_34_2 = e2
% 195.27/32.25    (31)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.27/32.25          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.27/32.25    (32)   ~ (all_52_14 = e3)
% 195.27/32.25    (33)  op(e0, e3) = all_52_3
% 195.27/32.25    (34)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.27/32.25          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.27/32.25            e2)
% 195.27/32.25    (35)   ~ (all_52_14 = e2)
% 195.27/32.25    (36)  op(e2, e0) = all_52_13
% 195.27/32.25    (37)  op(e1, e0) = all_52_14
% 195.27/32.25    (38)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 195.27/32.25            all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0,
% 195.27/32.25              e3) = all_18_1 & $i(all_18_1))
% 195.27/32.25    (39)   ~ (all_52_8 = all_52_9)
% 195.27/32.25    (40)   ~ (all_52_2 = all_52_14)
% 195.27/32.26    (41)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.27/32.26              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.27/32.26            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.27/32.26            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.27/32.26            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.27/32.26            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.27/32.26            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.27/32.26            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.27/32.26            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.27/32.26            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.27/32.26            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.27/32.26            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.27/32.26            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.27/32.26            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.27/32.26            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.27/32.26            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.27/32.26            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.27/32.26            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.27/32.26            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.27/32.26            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.27/32.26            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.27/32.26            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.27/32.26            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.27/32.26            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.27/32.26            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.27/32.26            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.27/32.26            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.27/32.26            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.27/32.26            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.27/32.26            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.27/32.26            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.27/32.26            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.27/32.26            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.27/32.26            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.27/32.26            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.27/32.26            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.27/32.26            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.27/32.26            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.27/32.26            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.27/32.26            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.27/32.26            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.27/32.26            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.27/32.26            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.27/32.26            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.27/32.26            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.27/32.26            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.27/32.26            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.27/32.26            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.27/32.26              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.27/32.26            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.27/32.26            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.27/32.26              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.27/32.26            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.27/32.26            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.27/32.26                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.27/32.26                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.27/32.26                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.27/32.26                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.27/32.26                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.27/32.26                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.27/32.26                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.27/32.26              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.27/32.26                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.27/32.26                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.27/32.26                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.27/32.26                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.27/32.26                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.27/32.26                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.27/32.26                $i(all_57_7))))
% 195.27/32.26    (42)   ~ (all_52_9 = e2)
% 195.27/32.26    (43)   ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 195.27/32.26            op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 =
% 195.27/32.26              e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 195.27/32.26    (44)  op(e0, e1) = all_52_11
% 195.27/32.26    (45)  op(e3, e3) = e3
% 195.27/32.26    (46)   ~ (all_52_12 = e3)
% 195.27/32.26    (47)   ~ (all_52_6 = all_52_14)
% 195.27/32.26    (48)   ~ (all_52_2 = e3)
% 195.27/32.26    (49)   ~ (all_4_2 = e1)
% 195.27/32.26    (50)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.27/32.26          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.27/32.26    (51)   ~ (all_4_2 = e3)
% 195.27/32.26    (52)   ~ (all_52_8 = all_52_12)
% 195.27/32.26    (53)   ~ (all_52_8 = e2)
% 195.27/32.26    (54)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.27/32.26    (55)  op(e1, e1) = e2
% 195.27/32.26    (56)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.27/32.26    (57)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.27/32.26          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.27/32.26    (58)   ~ (e1 = e0)
% 195.27/32.26    (59)   ~ (all_52_1 = all_52_13)
% 195.27/32.26    (60)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.27/32.26    (61)   ~ (all_52_8 = all_52_11)
% 195.27/32.26    (62)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.27/32.26          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.27/32.26    (63)  all_54_5 = all_4_2
% 195.27/32.26    (64)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.27/32.26    (65)   ~ (all_52_13 = all_52_14)
% 195.27/32.26    (66)   ~ (all_52_2 = all_52_6)
% 195.27/32.26    (67)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.27/32.26              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.27/32.26                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.27/32.26                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.27/32.26    (68)   ~ (e2 = e1)
% 195.27/32.26    (69)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.27/32.26          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.27/32.26    (70)  all_54_14 = all_52_11
% 195.27/32.26    (71)   ~ (all_52_13 = all_4_2)
% 195.27/32.26    (72)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.27/32.26          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.27/32.26    (73)  op(e3, e0) = all_52_12
% 195.27/32.26    (74)   ~ (all_52_2 = all_52_3)
% 195.27/32.26    (75)   ~ (all_52_9 = all_4_2)
% 195.27/32.26    (76)  op(e2, e1) = all_52_9
% 195.27/32.26    (77)   ~ (all_52_1 = all_52_2)
% 195.27/32.26    (78)   ~ (all_52_4 = all_52_6)
% 195.27/32.26    (79)   ~ (all_52_1 = all_52_3)
% 195.27/32.26    (80)  op(e3, e1) = all_52_8
% 195.27/32.26    (81)  op(e0, e0) = e3
% 195.27/32.26    (82)   ~ (all_52_9 = all_52_13)
% 195.27/32.26    (83)   ~ (e3 = e1)
% 195.27/32.26    (84)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.27/32.26          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.27/32.26    (85)  op(e0, e2) = all_52_7
% 195.27/32.26    (86)   ~ (e2 = e0)
% 195.27/32.26    (87)  op(e2, e3) = all_52_1
% 195.27/32.26    (88)   ~ (e3 = e0)
% 195.27/32.26    (89)   ~ (all_52_3 = all_52_11)
% 195.27/32.26    (90)   ~ (all_52_11 = e2)
% 195.27/32.26    (91)   ~ (all_52_9 = all_52_11)
% 195.27/32.26  
% 195.27/32.26  Begin of proof
% 195.27/32.26  | 
% 195.27/32.26  | BETA: splitting (50) gives:
% 195.27/32.26  | 
% 195.27/32.26  | Case 1:
% 195.27/32.26  | | 
% 195.27/32.26  | |   (92)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 195.27/32.26  | |           e3)
% 195.27/32.26  | | 
% 195.27/32.26  | | BETA: splitting (92) gives:
% 195.27/32.26  | | 
% 195.27/32.26  | | Case 1:
% 195.27/32.26  | | | 
% 195.27/32.26  | | |   (93)  all_56_2 = e3 & op(e2, e3) = e3
% 195.27/32.26  | | | 
% 195.27/32.26  | | | ALPHA: (93) implies:
% 195.27/32.26  | | |   (94)  all_56_2 = e3
% 195.27/32.26  | | | 
% 195.27/32.26  | | | BETA: splitting (17) gives:
% 195.27/32.26  | | | 
% 195.27/32.26  | | | Case 1:
% 195.27/32.26  | | | | 
% 195.27/32.26  | | | |   (95)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 195.27/32.26  | | | |           = e0)
% 195.27/32.26  | | | | 
% 195.27/32.26  | | | | REF_CLOSE: (22), (45), (88), (94), (95) are inconsistent by sub-proof
% 195.27/32.26  | | | |            #1728.
% 195.27/32.26  | | | | 
% 195.27/32.26  | | | Case 2:
% 195.27/32.26  | | | | 
% 195.27/32.26  | | | |   (96)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 195.27/32.26  | | | |           = e0)
% 195.27/32.26  | | | | 
% 195.27/32.26  | | | | BETA: splitting (96) gives:
% 195.27/32.26  | | | | 
% 195.27/32.26  | | | | Case 1:
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | |   (97)  all_56_6 = e0 & op(e1, e3) = e0
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | ALPHA: (97) implies:
% 195.27/32.26  | | | | |   (98)  op(e1, e3) = e0
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | BETA: splitting (20) gives:
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | Case 1:
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | |   (99)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2,
% 195.27/32.26  | | | | | |             e3) = e1)
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | | REF_CLOSE: (22), (45), (83), (94), (99) are inconsistent by
% 195.27/32.26  | | | | | |            sub-proof #1725.
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | Case 2:
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | |   (100)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 &
% 195.27/32.26  | | | | | |            op(e0, e3) = e1)
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | | BETA: splitting (100) gives:
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | | Case 1:
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | |   (101)  all_56_6 = e1 & op(e1, e3) = e1
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | ALPHA: (101) implies:
% 195.27/32.26  | | | | | | |   (102)  op(e1, e3) = e1
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | REF_CLOSE: (22), (58), (98), (102) are inconsistent by sub-proof
% 195.27/32.26  | | | | | | |            #489.
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | Case 2:
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | |   (103)  all_56_12 = e1 & op(e0, e3) = e1
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | ALPHA: (103) implies:
% 195.27/32.26  | | | | | | |   (104)  all_56_12 = e1
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | REF_CLOSE: (10), (17), (20), (21), (22), (45), (58), (68), (83),
% 195.27/32.26  | | | | | | |            (86), (88), (94), (104) are inconsistent by sub-proof
% 195.27/32.26  | | | | | | |            #1217.
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | End of split
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | End of split
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | Case 2:
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | |   (105)  all_56_12 = e0 & op(e0, e3) = e0
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | ALPHA: (105) implies:
% 195.27/32.26  | | | | |   (106)  all_56_12 = e0
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | REF_CLOSE: (10), (20), (21), (22), (45), (58), (68), (83), (86), (94),
% 195.27/32.26  | | | | |            (106) are inconsistent by sub-proof #1721.
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | End of split
% 195.27/32.26  | | | | 
% 195.27/32.26  | | | End of split
% 195.27/32.26  | | | 
% 195.27/32.26  | | Case 2:
% 195.27/32.26  | | | 
% 195.27/32.26  | | |   (107)  all_56_3 = e3 & op(e2, e2) = e3
% 195.27/32.26  | | | 
% 195.27/32.26  | | | ALPHA: (107) implies:
% 195.27/32.26  | | |   (108)  op(e2, e2) = e3
% 195.27/32.26  | | | 
% 195.27/32.26  | | | REF_CLOSE: (22), (24), (51), (108) are inconsistent by sub-proof #1975.
% 195.27/32.26  | | | 
% 195.27/32.26  | | End of split
% 195.27/32.26  | | 
% 195.27/32.26  | Case 2:
% 195.27/32.26  | | 
% 195.27/32.26  | |   (109)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 195.27/32.26  | |            e3)
% 195.27/32.26  | | 
% 195.27/32.26  | | BETA: splitting (109) gives:
% 195.27/32.26  | | 
% 195.27/32.26  | | Case 1:
% 195.27/32.26  | | | 
% 195.27/32.26  | | |   (110)  all_56_5 = e3 & op(e2, e1) = e3
% 195.27/32.26  | | | 
% 195.27/32.26  | | | ALPHA: (110) implies:
% 195.27/32.26  | | |   (111)  all_56_5 = e3
% 195.27/32.26  | | |   (112)  op(e2, e1) = e3
% 195.27/32.26  | | | 
% 195.27/32.26  | | | BETA: splitting (84) gives:
% 195.27/32.26  | | | 
% 195.27/32.26  | | | Case 1:
% 195.27/32.26  | | | | 
% 195.27/32.26  | | | |   (113)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 195.27/32.26  | | | |            = e3)
% 195.27/32.26  | | | | 
% 195.27/32.26  | | | | BETA: splitting (113) gives:
% 195.27/32.26  | | | | 
% 195.27/32.26  | | | | Case 1:
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | |   (114)  all_56_6 = e3 & op(e1, e3) = e3
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | ALPHA: (114) implies:
% 195.27/32.26  | | | | |   (115)  op(e1, e3) = e3
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | REF_CLOSE: (4), (22), (48), (115) are inconsistent by sub-proof #1179.
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | Case 2:
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | |   (116)  all_56_7 = e3 & op(e1, e2) = e3
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | ALPHA: (116) implies:
% 195.27/32.26  | | | | |   (117)  all_56_7 = e3
% 195.27/32.26  | | | | |   (118)  op(e1, e2) = e3
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | GROUND_INST: instantiating (22) with all_52_6, e3, e2, e1, simplifying
% 195.27/32.26  | | | | |              with (8), (118) gives:
% 195.27/32.26  | | | | |   (119)  all_52_6 = e3
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | GROUND_INST: instantiating (22) with all_52_9, e3, e1, e2, simplifying
% 195.27/32.26  | | | | |              with (76), (112) gives:
% 195.27/32.26  | | | | |   (120)  all_52_9 = e3
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | REDUCE: (14), (120) imply:
% 195.27/32.26  | | | | |   (121)   ~ (all_52_1 = e3)
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | REDUCE: (78), (119) imply:
% 195.27/32.26  | | | | |   (122)   ~ (all_52_4 = e3)
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | REDUCE: (15), (119) imply:
% 195.27/32.26  | | | | |   (123)   ~ (all_52_7 = e3)
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | SIMP: (123) implies:
% 195.27/32.26  | | | | |   (124)   ~ (all_52_7 = e3)
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | REDUCE: (47), (119) imply:
% 195.27/32.26  | | | | |   (125)   ~ (all_52_14 = e3)
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | REDUCE: (39), (120) imply:
% 195.27/32.26  | | | | |   (126)   ~ (all_52_8 = e3)
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | REDUCE: (91), (120) imply:
% 195.27/32.26  | | | | |   (127)   ~ (all_52_11 = e3)
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | SIMP: (127) implies:
% 195.27/32.26  | | | | |   (128)   ~ (all_52_11 = e3)
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | REDUCE: (82), (120) imply:
% 195.27/32.26  | | | | |   (129)   ~ (all_52_13 = e3)
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | REDUCE: (75), (120) imply:
% 195.27/32.26  | | | | |   (130)   ~ (all_4_2 = e3)
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | BETA: splitting (19) gives:
% 195.27/32.26  | | | | | 
% 195.27/32.26  | | | | | Case 1:
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | |   (131)   ~ (all_34_2 = e2)
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | | REDUCE: (30), (131) imply:
% 195.27/32.26  | | | | | |   (132)  $false
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | | CLOSE: (132) is inconsistent.
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | Case 2:
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | |   (133)  ( ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 & op(e1,
% 195.27/32.26  | | | | | |              e2) = all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~
% 195.27/32.26  | | | | | |            (all_34_1 = e3) & op(e1, e2) = all_34_1 & $i(all_34_1))
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | | BETA: splitting (133) gives:
% 195.27/32.26  | | | | | | 
% 195.27/32.26  | | | | | | Case 1:
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | |   (134)   ~ (all_34_0 = e0) & op(all_34_1, e1) = all_34_0 & op(e1,
% 195.27/32.26  | | | | | | |            e2) = all_34_1 & $i(all_34_0) & $i(all_34_1)
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | ALPHA: (134) implies:
% 195.27/32.26  | | | | | | |   (135)   ~ (all_34_0 = e0)
% 195.27/32.26  | | | | | | |   (136)  op(e1, e2) = all_34_1
% 195.27/32.26  | | | | | | |   (137)  op(all_34_1, e1) = all_34_0
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | GROUND_INST: instantiating (22) with e3, all_34_1, e2, e1,
% 195.27/32.26  | | | | | | |              simplifying with (118), (136) gives:
% 195.27/32.26  | | | | | | |   (138)  all_34_1 = e3
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | REDUCE: (137), (138) imply:
% 195.27/32.26  | | | | | | |   (139)  op(e3, e1) = all_34_0
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | GROUND_INST: instantiating (22) with all_52_8, all_34_0, e1, e3,
% 195.27/32.26  | | | | | | |              simplifying with (80), (139) gives:
% 195.27/32.26  | | | | | | |   (140)  all_52_8 = all_34_0
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | COMBINE_EQS: (18), (140) imply:
% 195.27/32.26  | | | | | | |   (141)  all_54_2 = all_34_0
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | REDUCE: (29), (140) imply:
% 195.27/32.26  | | | | | | |   (142)   ~ (all_52_4 = all_34_0)
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | REDUCE: (61), (140) imply:
% 195.27/32.26  | | | | | | |   (143)   ~ (all_52_11 = all_34_0)
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | SIMP: (143) implies:
% 195.27/32.26  | | | | | | |   (144)   ~ (all_52_11 = all_34_0)
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | REDUCE: (52), (140) imply:
% 195.27/32.26  | | | | | | |   (145)   ~ (all_52_12 = all_34_0)
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | SIMP: (145) implies:
% 195.27/32.26  | | | | | | |   (146)   ~ (all_52_12 = all_34_0)
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | REDUCE: (126), (140) imply:
% 195.27/32.26  | | | | | | |   (147)   ~ (all_34_0 = e3)
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | REDUCE: (53), (140) imply:
% 195.27/32.26  | | | | | | |   (148)   ~ (all_34_0 = e2)
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | BETA: splitting (56) gives:
% 195.27/32.26  | | | | | | | 
% 195.27/32.26  | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | 
% 195.27/32.26  | | | | | | | |   (149)  all_54_2 = e3
% 195.27/32.26  | | | | | | | | 
% 195.27/32.26  | | | | | | | | COMBINE_EQS: (141), (149) imply:
% 195.27/32.26  | | | | | | | |   (150)  all_34_0 = e3
% 195.27/32.26  | | | | | | | | 
% 195.27/32.26  | | | | | | | | REDUCE: (147), (150) imply:
% 195.27/32.26  | | | | | | | |   (151)  $false
% 195.27/32.26  | | | | | | | | 
% 195.27/32.26  | | | | | | | | CLOSE: (151) is inconsistent.
% 195.27/32.26  | | | | | | | | 
% 195.27/32.26  | | | | | | | Case 2:
% 195.27/32.26  | | | | | | | | 
% 195.27/32.26  | | | | | | | |   (152)   ~ (all_54_2 = e3)
% 195.27/32.26  | | | | | | | |   (153)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.27/32.26  | | | | | | | | 
% 195.27/32.26  | | | | | | | | BETA: splitting (153) gives:
% 195.27/32.26  | | | | | | | | 
% 195.27/32.26  | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | 
% 195.27/32.26  | | | | | | | | |   (154)  all_54_2 = e2
% 195.27/32.26  | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | COMBINE_EQS: (141), (154) imply:
% 195.27/32.26  | | | | | | | | |   (155)  all_34_0 = e2
% 195.27/32.26  | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | SIMP: (155) implies:
% 195.27/32.26  | | | | | | | | |   (156)  all_34_0 = e2
% 195.27/32.26  | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | REDUCE: (148), (156) imply:
% 195.27/32.26  | | | | | | | | |   (157)  $false
% 195.27/32.26  | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | CLOSE: (157) is inconsistent.
% 195.27/32.26  | | | | | | | | | 
% 195.27/32.26  | | | | | | | | Case 2:
% 195.27/32.26  | | | | | | | | | 
% 195.27/32.26  | | | | | | | | |   (158)   ~ (all_54_2 = e2)
% 195.27/32.26  | | | | | | | | |   (159)  all_54_2 = e1 | all_54_2 = e0
% 195.27/32.26  | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | BETA: splitting (159) gives:
% 195.27/32.26  | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | |   (160)  all_54_2 = e1
% 195.27/32.26  | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | COMBINE_EQS: (141), (160) imply:
% 195.27/32.26  | | | | | | | | | |   (161)  all_34_0 = e1
% 195.27/32.26  | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | SIMP: (161) implies:
% 195.27/32.26  | | | | | | | | | |   (162)  all_34_0 = e1
% 195.27/32.26  | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | REDUCE: (142), (162) imply:
% 195.27/32.26  | | | | | | | | | |   (163)   ~ (all_52_4 = e1)
% 195.27/32.26  | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | REDUCE: (144), (162) imply:
% 195.27/32.26  | | | | | | | | | |   (164)   ~ (all_52_11 = e1)
% 195.27/32.26  | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | REDUCE: (146), (162) imply:
% 195.27/32.26  | | | | | | | | | |   (165)   ~ (all_52_12 = e1)
% 195.27/32.26  | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | REDUCE: (147), (162) imply:
% 195.27/32.26  | | | | | | | | | |   (166)   ~ (e3 = e1)
% 195.27/32.26  | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | REDUCE: (148), (162) imply:
% 195.27/32.26  | | | | | | | | | |   (167)   ~ (e2 = e1)
% 195.27/32.26  | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | BETA: splitting (64) gives:
% 195.27/32.26  | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | |   (168)  all_54_14 = e3
% 195.27/32.26  | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | REF_CLOSE: (70), (128), (168) are inconsistent by sub-proof
% 195.27/32.26  | | | | | | | | | | |            #1260.
% 195.27/32.26  | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | Case 2:
% 195.27/32.26  | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | |   (169)   ~ (all_54_14 = e3)
% 195.27/32.26  | | | | | | | | | | |   (170)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.27/32.26  | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | BETA: splitting (170) gives:
% 195.27/32.26  | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | |   (171)  all_54_14 = e2
% 195.27/32.26  | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | REF_CLOSE: (70), (90), (171) are inconsistent by sub-proof
% 195.27/32.26  | | | | | | | | | | | |            #1740.
% 195.27/32.26  | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | Case 2:
% 195.27/32.26  | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | |   (172)   ~ (all_54_14 = e2)
% 195.27/32.26  | | | | | | | | | | | |   (173)  all_54_14 = e1 | all_54_14 = e0
% 195.27/32.26  | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | BETA: splitting (173) gives:
% 195.27/32.26  | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | |   (174)  all_54_14 = e1
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | REF_CLOSE: (70), (164), (174) are inconsistent by sub-proof
% 195.27/32.26  | | | | | | | | | | | | |            #1739.
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | Case 2:
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | |   (175)  all_54_14 = e0
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | COMBINE_EQS: (70), (175) imply:
% 195.27/32.26  | | | | | | | | | | | | |   (176)  all_52_11 = e0
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | SIMP: (176) implies:
% 195.27/32.26  | | | | | | | | | | | | |   (177)  all_52_11 = e0
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | REDUCE: (89), (177) imply:
% 195.27/32.26  | | | | | | | | | | | | |   (178)   ~ (all_52_3 = e0)
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | REDUCE: (25), (177) imply:
% 195.27/32.26  | | | | | | | | | | | | |   (179)   ~ (all_52_7 = e0)
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | REDUCE: (128), (177) imply:
% 195.27/32.26  | | | | | | | | | | | | |   (180)   ~ (e3 = e0)
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | BETA: splitting (2) gives:
% 195.27/32.26  | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | |   (181)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 195.27/32.26  | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 195.27/32.26  | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (24), (49), (163), (181) are
% 195.27/32.26  | | | | | | | | | | | | | |            inconsistent by sub-proof #1531.
% 195.27/32.26  | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | Case 2:
% 195.27/32.26  | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | |   (182)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 195.27/32.26  | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 195.27/32.26  | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 195.27/32.26  | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | |   (183)  all_56_7 = e1 & op(e1, e2) = e1
% 195.27/32.26  | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 195.27/32.26  | | | | | | | | | | | | | | |   (184)  all_56_7 = e1
% 195.27/32.26  | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | REF_CLOSE: (83), (117), (184) are inconsistent by sub-proof
% 195.27/32.26  | | | | | | | | | | | | | | |            #1907.
% 195.27/32.26  | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | Case 2:
% 195.27/32.26  | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | |   (185)  all_56_13 = e1 & op(e0, e2) = e1
% 195.27/32.26  | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | ALPHA: (185) implies:
% 195.27/32.26  | | | | | | | | | | | | | | |   (186)  all_56_13 = e1
% 195.27/32.26  | | | | | | | | | | | | | | |   (187)  op(e0, e2) = e1
% 195.27/32.26  | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | |   (188)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 195.27/32.26  | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 195.27/32.26  | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | |   (189)  all_56_12 = e2 & op(e0, e3) = e2
% 195.27/32.26  | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | ALPHA: (189) implies:
% 195.27/32.26  | | | | | | | | | | | | | | | | |   (190)  all_56_12 = e2
% 195.27/32.26  | | | | | | | | | | | | | | | | |   (191)  op(e0, e3) = e2
% 195.27/32.26  | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_7, e1, e2, e0,
% 195.27/32.26  | | | | | | | | | | | | | | | | |              simplifying with (85), (187) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | |   (192)  all_52_7 = e1
% 195.27/32.26  | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_3, e2, e3, e0,
% 195.27/32.26  | | | | | | | | | | | | | | | | |              simplifying with (33), (191) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | |   (193)  all_52_3 = e2
% 195.27/32.26  | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | REDUCE: (79), (193) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | |   (194)   ~ (all_52_1 = e2)
% 195.27/32.26  | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | REDUCE: (74), (193) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | |   (195)   ~ (all_52_2 = e2)
% 195.27/32.26  | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | REDUCE: (12), (193) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | |   (196)   ~ (e3 = e2)
% 195.27/32.26  | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | REDUCE: (11), (192) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | |   (197)   ~ (all_4_2 = e1)
% 195.27/32.26  | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | |   (198)   ~ (all_48_2 = e3)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | REDUCE: (27), (198) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | |   (199)  $false
% 195.27/32.26  | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent.
% 195.27/32.26  | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | |   (200)  ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0
% 195.27/32.26  | | | | | | | | | | | | | | | | | |            & op(e0, e3) = all_48_1 & $i(all_48_0) &
% 195.27/32.26  | | | | | | | | | | | | | | | | | |            $i(all_48_1)) | ( ~ (all_48_1 = e1) & op(e0, e3)
% 195.27/32.26  | | | | | | | | | | | | | | | | | |            = all_48_1 & $i(all_48_1))
% 195.27/32.26  | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | |   (201)   ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 195.27/32.26  | | | | | | | | | | | | | | | | | | |          op(e0, e3) = all_48_1 & $i(all_48_0) &
% 195.27/32.26  | | | | | | | | | | | | | | | | | | |          $i(all_48_1)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | |   (202)   ~ (all_48_0 = e2)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | |   (203)  op(e0, e3) = all_48_1
% 195.27/32.26  | | | | | | | | | | | | | | | | | | |   (204)  op(all_48_1, e0) = all_48_0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (205)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |          op(e0, e3) = all_18_1 & $i(all_18_0) &
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |          $i(all_18_1)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (206)   ~ (all_18_0 = e1)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (207)  op(e0, e3) = all_18_1
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (208)  op(all_18_1, e0) = all_18_0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with e2, all_48_1, e3, e0,
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |              simplifying with (191), (203) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (209)  all_48_1 = e2
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_18_1, all_48_1, e3,
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (203), (207) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (210)  all_48_1 = all_18_1
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (209), (210) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (211)  all_18_1 = e2
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (204), (209) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (212)  op(e2, e0) = all_48_0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (211) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (213)  op(e2, e0) = all_18_0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_13, all_18_0, e0,
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (36), (213) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (214)  all_52_13 = all_18_0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_13, all_48_0, e0,
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (36), (212) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (215)  all_52_13 = all_48_0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (215) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (216)  all_48_0 = all_18_0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | SIMP: (216) implies:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (217)  all_48_0 = all_18_0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (214) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (218)  all_54_7 = all_18_0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (214) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (219)   ~ (all_52_1 = all_18_0)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (214) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (220)   ~ (all_52_14 = all_18_0)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | SIMP: (220) implies:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (221)   ~ (all_52_14 = all_18_0)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (214) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (222)   ~ (all_18_0 = all_4_2)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (214) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (223)   ~ (all_18_0 = e3)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (217) imply:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | |   (224)   ~ (all_18_0 = e2)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | |   (225)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | |   (226)  all_56_9 = e1 & op(e3, e0) = e1
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | |   (227)  op(e3, e0) = e1
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (73), (165), (227) are inconsistent by
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1949.
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | |   (228)  all_56_10 = e1 & op(e2, e0) = e1
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (35), (37), (54), (67), (68), (72),
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | |            (81), (206), (218), (221), (223), (224), (228) are
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #482.
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | |   (229)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | |   (230)  all_56_11 = e1 & op(e1, e0) = e1
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | |   (231)  all_56_11 = e1
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | |   (232)  op(e1, e0) = e1
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | |   (233)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_56_9 = e2 & op(e3, e0) = e2
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_56_9 = e2
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_56_6 = e0 & op(e1, e3) = e0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_56_6 = e0
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_2 = e1 & op(e2, e3) = e1
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (240) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_56_2 = e1
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_56_15 = e0 & op(e0, e0) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  op(e0, e0) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (81), (88), (243) are inconsistent by
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1947.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (244) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_56_9 = e0 & op(e3, e0) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (246) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_56_9 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (235), (247) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  e2 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (248) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_12 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (21), (22), (45), (68), (86), (238), (241),
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249) are inconsistent by sub-proof #1014.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_56_10 = e0 & op(e2, e0) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (251) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_56_10 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_56_2 = e2 & op(e2, e3) = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (254) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  op(e2, e3) = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (87), (194), (255) are inconsistent by
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1785.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_56_3 = e2 & op(e2, e2) = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (256) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  op(e2, e2) = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_54_7 = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (258) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_18_0 = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (223), (259) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  $false
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (260) is inconsistent.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)   ~ (all_54_7 = e3)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_54_7 = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (263) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_18_0 = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (224), (264) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  $false
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (265) is inconsistent.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)   ~ (all_54_7 = e2)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_54_7 = e1 | all_54_7 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_54_7 = e1
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (268) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_18_0 = e1
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (269) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  $false
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (270) is inconsistent.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_54_7 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (271) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_18_0 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (219), (272) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)   ~ (all_52_1 = e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (222), (272) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)   ~ (all_4_2 = e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (274) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)   ~ (all_4_2 = e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (224), (272) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)   ~ (e2 = e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (272) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)   ~ (e1 = e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_54_4 = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6), (278) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_52_1 = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (279) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  $false
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (280) is inconsistent.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_54_4 = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6), (282) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_52_1 = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (194), (283) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  $false
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (284) is inconsistent.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)   ~ (all_54_4 = e2)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_54_4 = e1 | all_54_4 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_54_5 = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (287) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_4_2 = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (288) imply:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  $false
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (289) is inconsistent.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)   ~ (all_54_5 = e3)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (87), (194), (294) are inconsistent by
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1784.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_14)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  op(e2, e2) = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (51), (297) are inconsistent by
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1975.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (298) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  op(e1, e3) = e1
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (22), (77), (273), (286), (299) are
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #687.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (122), (301) are inconsistent by
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1971.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (303) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  op(e3, e3) = e2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17), (20), (21), (22), (33), (48), (58),
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (68), (83), (86), (88), (178), (190), (304)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #740.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (68), (81), (257), (305) are
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1024.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (21), (22), (46), (58), (62), (68),
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (81), (83), (86), (88), (241), (307) are
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #481.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (45), (88), (309) are inconsistent by
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1960.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)   ~ (all_57_13 = e1)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  op(e1, e0) = all_57_13
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (232), (312), (313) are inconsistent by
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1437.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (315) implies:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  op(e2, e2) = e0
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (49), (63), (275), (291), (316) are
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1938.
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (33), (45), (49), (51), (83), (85),
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (178), (179), (318) are inconsistent by sub-proof
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #537.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_56_5 = e2 & op(e2, e1) = e2
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  op(e2, e1) = e2
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (42), (76), (321) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1942.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_56_10 = e2 & op(e2, e0) = e2
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_56_10 = e2
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (323) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  e2 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (324) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  e2 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (235), (325) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_56_9 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (68), (72), (81), (86), (231), (252),
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (326) are inconsistent by sub-proof #1013.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_56_11 = e0 & op(e1, e0) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (231), (327) are inconsistent by sub-proof
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1202.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_56_3 = e1 & op(e2, e2) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  op(e2, e2) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (49), (329) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1969.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_56_5 = e1 & op(e2, e1) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (331) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  op(e2, e1) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (83), (112), (332) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #480.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_56_10 = e1 & op(e2, e0) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (333) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_56_10 = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (37), (54), (67), (81), (206), (218), (221),
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (235), (334) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #484.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_56_7 = e0 & op(e1, e2) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (117), (335) are inconsistent by sub-proof
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1775.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (55), (58), (86), (231), (336) are
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #478.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_56_10 = e2 & op(e2, e0) = e2
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (337) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_56_10 = e2
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_56_6 = e0 & op(e1, e3) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_56_6 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_56_2 = e1 & op(e2, e3) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (343) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_56_2 = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_56_15 = e0 & op(e0, e0) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  op(e0, e0) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (81), (88), (346) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1947.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (348) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_56_9 = e0 & op(e3, e0) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (349) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_56_9 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_56_2 = e0 & op(e2, e3) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (344), (352) are inconsistent by sub-proof
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1858.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_56_3 = e0 & op(e2, e2) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (353) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  op(e2, e2) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (22), (24), (49), (51), (54), (63), (206),
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (222), (223), (224), (354) are inconsistent
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #477.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_56_5 = e0 & op(e2, e1) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (111), (356) are inconsistent by sub-proof
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1499.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_56_10 = e0 & op(e2, e0) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (357) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_56_10 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (68), (72), (81), (86), (231), (350),
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (358) are inconsistent by sub-proof #1013.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_56_10 = e0 & op(e2, e0) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (360) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_56_10 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (361) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  e2 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (362) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_56_12 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (21), (22), (45), (68), (86), (341), (344),
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (363) are inconsistent by sub-proof #1014.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_56_11 = e0 & op(e1, e0) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (231), (364) are inconsistent by sub-proof
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1202.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_56_3 = e1 & op(e2, e2) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (365) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  op(e2, e2) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (49), (366) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1969.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_56_5 = e1 & op(e2, e1) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (368) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  op(e2, e1) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (83), (112), (369) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #480.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_56_10 = e1 & op(e2, e0) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (35), (37), (54), (67), (68), (72),
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (81), (206), (218), (221), (223), (224), (370) are
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #482.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_56_7 = e0 & op(e1, e2) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (117), (371) are inconsistent by sub-proof
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1775.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (55), (58), (86), (231), (372) are
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #478.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | |   (373)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (35), (37), (81), (373) are
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #483.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |   (374)  all_56_15 = e1 & op(e0, e0) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (374) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |   (375)  op(e0, e0) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (81), (83), (375) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1392.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (376)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |          $i(all_18_1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (191), (376) are inconsistent by sub-proof
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |            #476.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | |   (377)   ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | |          $i(all_48_1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | ALPHA: (377) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | |   (378)  op(e0, e3) = all_48_1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (379)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |          op(e0, e3) = all_18_1 & $i(all_18_0) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |          $i(all_18_1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | ALPHA: (379) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (380)   ~ (all_18_0 = e1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (381)  op(e0, e3) = all_18_1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (382)  op(all_18_1, e0) = all_18_0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with e2, all_48_1, e3, e0,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |              simplifying with (191), (378) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (383)  all_48_1 = e2
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_18_1, all_48_1, e3,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (378), (381) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (384)  all_48_1 = all_18_1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (384) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (385)  all_18_1 = e2
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (385) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (386)  op(e2, e0) = all_18_0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_13, all_18_0, e0,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (36), (386) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (387)  all_52_13 = all_18_0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (387) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (388)  all_54_7 = all_18_0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (387) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (389)   ~ (all_52_14 = all_18_0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | SIMP: (389) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (390)   ~ (all_52_14 = all_18_0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (387) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (391)   ~ (all_18_0 = all_4_2)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (387) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | |   (392)   ~ (all_18_0 = e3)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | |   (393)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |   (394)  all_56_9 = e1 & op(e3, e0) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |   (395)  op(e3, e0) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (73), (165), (395) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1949.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |   (396)  all_56_10 = e1 & op(e2, e0) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (380), (386), (396) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #475.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | |   (397)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |   (398)  all_56_11 = e1 & op(e1, e0) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (398) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |   (399)  all_56_11 = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | |   (400)  op(e1, e0) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | |   (401)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | |   (402)  all_56_2 = e1 & op(e2, e3) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (402) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_56_2 = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | |   (404)  op(e2, e3) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_56_6 = e0 & op(e1, e3) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (406) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  op(e1, e3) = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_14, e1, e0, e1,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (37), (400) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  all_52_14 = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_2, e0, e3, e1,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4), (407) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_52_2 = e0
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_1, e1, e3, e2,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (87), (404) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  all_52_1 = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (408), (409) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)   ~ (e1 = e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (409) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)   ~ (e2 = e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (408) imply:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)   ~ (all_18_0 = e1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (414) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (415) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (87), (194), (416) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1784.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (417) gives:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_14)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  op(e2, e2) = e3
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (51), (419) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1975.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (420) implies:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  op(e1, e3) = e1
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (58), (407), (421) are inconsistent by
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #489.
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.27/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (122), (423) are inconsistent by
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1971.
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (425) implies:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  op(e3, e3) = e2
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17), (20), (21), (22), (33), (48), (58),
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (68), (83), (86), (88), (178), (190), (426)
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #740.
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  op(e0, e0) = e2
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (81), (429) are inconsistent by
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1692.
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  op(e2, e2) = e1
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13), (22), (36), (42), (50), (58), (68),
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (76), (83), (86), (88), (403), (431) are
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #471.
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (21), (22), (46), (58), (62), (68),
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (81), (83), (86), (88), (403), (433) are
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #481.
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (45), (88), (435) are inconsistent by
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1960.
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (437) implies:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)   ~ (all_57_13 = e1)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  op(e1, e0) = all_57_13
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (400), (438), (439) are inconsistent by
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1437.
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (440) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (441) implies:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)   ~ (all_57_11 = e2)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  op(e2, e0) = all_57_11
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  op(e2, e2) = e0
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (21), (22), (24), (51), (68), (86), (117),
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (444), (447) are inconsistent by sub-proof
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1734.
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (21), (22), (58), (62), (68), (83),
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (88), (403), (407), (448) are inconsistent
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #470.
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (33), (45), (88), (178), (450) are
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1328.
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (452) implies:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  op(e2, e2) = e1
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (58), (444), (453) are inconsistent by
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1909.
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (454) implies:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  op(e2, e1) = e1
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (83), (112), (455) are inconsistent by
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #480.
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (456) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (459) implies:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (55), (86), (400), (460) are inconsistent by
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #496.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (461) implies:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  op(e0, e2) = e0
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (85), (179), (462) are inconsistent by
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #818.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (44), (81), (83), (164), (463) are
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1108.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (466) implies:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  all_57_12 = e3 & op(e2, e2) = e3
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (468) implies:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  op(e2, e2) = e3
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (51), (469) are inconsistent by
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1975.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_18_0, all_57_11, e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (386), (443) gives:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_57_11 = all_18_0
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_4_2, e0, e2, e2,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (24), (444) gives:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_4_2 = e0
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (442), (470) imply:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)   ~ (all_18_0 = e2)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (22), (24), (49), (51), (54), (63), (380),
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (388), (391), (392), (444), (472) are inconsistent
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #477.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (473) implies:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  op(e2, e2) = e2
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (86), (444), (474) are inconsistent by
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1939.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (55), (68), (86), (400), (475) are
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #495.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (476) implies:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (33), (45), (49), (51), (83), (85),
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (178), (179), (477) are inconsistent by sub-proof
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #537.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_56_7 = e0 & op(e1, e2) = e0
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (117), (478) are inconsistent by sub-proof
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1775.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (55), (58), (86), (399), (479) are
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #478.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | |   (480)  all_56_3 = e1 & op(e2, e2) = e1
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (480) implies:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | |   (481)  op(e2, e2) = e1
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (24), (49), (481) are inconsistent by
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1969.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | |   (482)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (482) gives:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_56_5 = e1 & op(e2, e1) = e1
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (483) implies:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | |   (484)  op(e2, e1) = e1
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (83), (112), (484) are inconsistent by
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #480.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_56_10 = e1 & op(e2, e0) = e1
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (380), (386), (485) are inconsistent by
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #475.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | |   (486)  all_56_15 = e1 & op(e0, e0) = e1
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (486) implies:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | |   (487)  op(e0, e0) = e1
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (81), (83), (487) are inconsistent by
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1392.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | |   (488)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 &
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | |          $i(all_18_1)
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (191), (488) are inconsistent by sub-proof
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | |            #476.
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | |   (489)  all_56_13 = e2 & op(e0, e2) = e2
% 195.29/32.30  | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (186), (489) are inconsistent by sub-proof
% 195.29/32.30  | | | | | | | | | | | | | | | | |            #1924.
% 195.29/32.30  | | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | |   (490)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 195.29/32.30  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 195.29/32.30  | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (44), (81), (90), (490) are
% 195.29/32.30  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #469.
% 195.29/32.30  | | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | Case 2:
% 195.29/32.30  | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | |   (491)  all_54_2 = e0
% 195.29/32.30  | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | COMBINE_EQS: (141), (491) imply:
% 195.29/32.30  | | | | | | | | | |   (492)  all_34_0 = e0
% 195.29/32.30  | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | SIMP: (492) implies:
% 195.29/32.30  | | | | | | | | | |   (493)  all_34_0 = e0
% 195.29/32.30  | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | REDUCE: (135), (493) imply:
% 195.29/32.30  | | | | | | | | | |   (494)  $false
% 195.29/32.30  | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | | CLOSE: (494) is inconsistent.
% 195.29/32.30  | | | | | | | | | | 
% 195.29/32.30  | | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | | 
% 195.29/32.30  | | | | | | | | End of split
% 195.29/32.30  | | | | | | | | 
% 195.29/32.30  | | | | | | | End of split
% 195.29/32.30  | | | | | | | 
% 195.29/32.30  | | | | | | Case 2:
% 195.29/32.30  | | | | | | | 
% 195.29/32.30  | | | | | | |   (495)   ~ (all_34_1 = e3) & op(e1, e2) = all_34_1 & $i(all_34_1)
% 195.29/32.30  | | | | | | | 
% 195.29/32.30  | | | | | | | ALPHA: (495) implies:
% 195.29/32.30  | | | | | | |   (496)   ~ (all_34_1 = e3)
% 195.29/32.30  | | | | | | |   (497)  op(e1, e2) = all_34_1
% 195.29/32.30  | | | | | | | 
% 195.29/32.30  | | | | | | | REF_CLOSE: (22), (118), (496), (497) are inconsistent by sub-proof
% 195.29/32.30  | | | | | | |            #468.
% 195.29/32.30  | | | | | | | 
% 195.29/32.30  | | | | | | End of split
% 195.29/32.30  | | | | | | 
% 195.29/32.30  | | | | | End of split
% 195.29/32.30  | | | | | 
% 195.29/32.30  | | | | End of split
% 195.29/32.30  | | | | 
% 195.29/32.30  | | | Case 2:
% 195.29/32.30  | | | | 
% 195.29/32.30  | | | |   (498)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1,
% 195.29/32.30  | | | |              e0) = e3)
% 195.29/32.30  | | | | 
% 195.29/32.30  | | | | REF_CLOSE: (21), (22), (32), (37), (55), (498) are inconsistent by
% 195.29/32.30  | | | |            sub-proof #507.
% 195.29/32.30  | | | | 
% 195.29/32.30  | | | End of split
% 195.29/32.30  | | | 
% 195.29/32.30  | | Case 2:
% 195.29/32.30  | | | 
% 195.29/32.30  | | |   (499)  all_56_10 = e3 & op(e2, e0) = e3
% 195.29/32.30  | | | 
% 195.29/32.30  | | | REF_CLOSE: (7), (22), (36), (499) are inconsistent by sub-proof #1456.
% 195.29/32.30  | | | 
% 195.29/32.30  | | End of split
% 195.29/32.30  | | 
% 195.29/32.30  | End of split
% 195.29/32.30  | 
% 195.29/32.30  End of proof
% 195.29/32.30  
% 195.29/32.30  Sub-proof #468 shows that the following formulas are inconsistent:
% 195.29/32.30  ----------------------------------------------------------------
% 195.29/32.30    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.30    (2)  op(e1, e2) = all_34_1
% 195.29/32.30    (3)  op(e1, e2) = e3
% 195.29/32.30    (4)   ~ (all_34_1 = e3)
% 195.29/32.30  
% 195.29/32.30  Begin of proof
% 195.29/32.30  | 
% 195.29/32.30  | GROUND_INST: instantiating (1) with e3, all_34_1, e2, e1, simplifying with
% 195.29/32.30  |              (2), (3) gives:
% 195.29/32.30  |   (5)  all_34_1 = e3
% 195.29/32.30  | 
% 195.29/32.30  | REDUCE: (4), (5) imply:
% 195.29/32.30  |   (6)  $false
% 195.29/32.30  | 
% 195.29/32.30  | CLOSE: (6) is inconsistent.
% 195.29/32.30  | 
% 195.29/32.30  End of proof
% 195.29/32.30  
% 195.29/32.30  Sub-proof #469 shows that the following formulas are inconsistent:
% 195.29/32.30  ----------------------------------------------------------------
% 195.29/32.30    (1)   ~ (e3 = e2)
% 195.29/32.30    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.30    (3)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.29/32.30    (4)  op(e0, e1) = all_52_11
% 195.29/32.30    (5)  op(e0, e0) = e3
% 195.29/32.30    (6)   ~ (all_52_11 = e2)
% 195.29/32.30  
% 195.29/32.30  Begin of proof
% 195.29/32.30  | 
% 195.29/32.30  | BETA: splitting (3) gives:
% 195.29/32.30  | 
% 195.29/32.30  | Case 1:
% 195.29/32.30  | | 
% 195.29/32.30  | |   (7)  all_56_14 = e2 & op(e0, e1) = e2
% 195.29/32.30  | | 
% 195.29/32.30  | | REF_CLOSE: (2), (4), (6), (7) are inconsistent by sub-proof #808.
% 195.29/32.30  | | 
% 195.29/32.30  | Case 2:
% 195.29/32.30  | | 
% 195.29/32.30  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 195.29/32.30  | | 
% 195.29/32.30  | | ALPHA: (8) implies:
% 195.29/32.30  | |   (9)  op(e0, e0) = e2
% 195.29/32.30  | | 
% 195.29/32.30  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1692.
% 195.29/32.30  | | 
% 195.29/32.30  | End of split
% 195.29/32.30  | 
% 195.29/32.30  End of proof
% 195.29/32.30  
% 195.29/32.30  Sub-proof #470 shows that the following formulas are inconsistent:
% 195.29/32.30  ----------------------------------------------------------------
% 195.29/32.30    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.29/32.30         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.29/32.30    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.29/32.30         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.29/32.30    (3)   ~ (e3 = e2)
% 195.29/32.30    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.30    (5)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.29/32.30           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.29/32.30           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.29/32.30                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.29/32.30               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.29/32.30               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.29/32.30           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 195.29/32.30           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.29/32.30               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.29/32.30           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.29/32.30               = all_57_2 & $i(all_57_2))))
% 195.29/32.30    (6)   ~ (e1 = e0)
% 195.29/32.30    (7)  all_56_2 = e1
% 195.29/32.30    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.29/32.30         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.29/32.30    (9)   ~ (e2 = e1)
% 195.29/32.30    (10)   ~ (e3 = e1)
% 195.29/32.30    (11)   ~ (e2 = e0)
% 195.29/32.30    (12)   ~ (e3 = e0)
% 195.29/32.30    (13)  op(e1, e3) = e0
% 195.29/32.30  
% 195.29/32.30  Begin of proof
% 195.29/32.30  | 
% 195.29/32.30  | BETA: splitting (5) gives:
% 195.29/32.30  | 
% 195.29/32.30  | Case 1:
% 195.29/32.30  | | 
% 195.29/32.30  | |   (14)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.29/32.30  | |         op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.29/32.30  | |         $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.29/32.30  | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 =
% 195.29/32.30  | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.29/32.30  | |             all_57_8 & $i(all_57_8)))
% 195.29/32.30  | | 
% 195.29/32.30  | | ALPHA: (14) implies:
% 195.29/32.30  | |   (15)  op(e3, e3) = e1
% 195.29/32.30  | | 
% 195.29/32.30  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (15)
% 195.29/32.30  | |            are inconsistent by sub-proof #1844.
% 195.29/32.30  | | 
% 195.29/32.30  | Case 2:
% 195.29/32.30  | | 
% 195.29/32.30  | |   (16)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.29/32.30  | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.29/32.30  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.29/32.30  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 195.29/32.30  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.29/32.30  | |             all_57_2 & $i(all_57_2)))
% 195.29/32.30  | | 
% 195.29/32.30  | | ALPHA: (16) implies:
% 195.29/32.30  | |   (17)  op(e1, e3) = e1
% 195.29/32.30  | | 
% 195.29/32.30  | | REF_CLOSE: (4), (6), (13), (17) are inconsistent by sub-proof #489.
% 195.29/32.30  | | 
% 195.29/32.30  | End of split
% 195.29/32.30  | 
% 195.29/32.30  End of proof
% 195.29/32.30  
% 195.29/32.30  Sub-proof #471 shows that the following formulas are inconsistent:
% 195.29/32.30  ----------------------------------------------------------------
% 195.29/32.30    (1)   ~ (all_52_13 = e3)
% 195.29/32.30    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.29/32.30         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.29/32.30    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.30    (4)  op(e2, e2) = e1
% 195.29/32.30    (5)  op(e2, e0) = all_52_13
% 195.29/32.30    (6)   ~ (all_52_9 = e2)
% 195.29/32.30    (7)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.29/32.30         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.29/32.30    (8)   ~ (e1 = e0)
% 195.29/32.30    (9)  all_56_2 = e1
% 195.29/32.30    (10)   ~ (e2 = e1)
% 195.29/32.30    (11)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.29/32.30          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.29/32.30    (12)  op(e2, e1) = all_52_9
% 195.29/32.30    (13)   ~ (e3 = e1)
% 195.29/32.30    (14)   ~ (e2 = e0)
% 195.29/32.30    (15)   ~ (e3 = e0)
% 195.29/32.30  
% 195.29/32.30  Begin of proof
% 195.29/32.30  | 
% 195.29/32.30  | BETA: splitting (7) gives:
% 195.29/32.30  | 
% 195.29/32.30  | Case 1:
% 195.29/32.30  | | 
% 195.29/32.30  | |   (16)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 195.29/32.30  | |           e3)
% 195.29/32.30  | | 
% 195.29/32.30  | | REF_CLOSE: (3), (4), (9), (13), (16) are inconsistent by sub-proof #1021.
% 195.29/32.30  | | 
% 195.29/32.30  | Case 2:
% 195.29/32.30  | | 
% 195.29/32.30  | |   (17)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 195.29/32.30  | |           e3)
% 195.29/32.30  | | 
% 195.29/32.30  | | BETA: splitting (17) gives:
% 195.29/32.30  | | 
% 195.29/32.30  | | Case 1:
% 195.29/32.30  | | | 
% 195.29/32.30  | | |   (18)  all_56_5 = e3 & op(e2, e1) = e3
% 195.29/32.30  | | | 
% 195.29/32.30  | | | ALPHA: (18) implies:
% 195.29/32.30  | | |   (19)  all_56_5 = e3
% 195.29/32.30  | | | 
% 195.29/32.30  | | | REF_CLOSE: (2), (3), (4), (6), (8), (9), (10), (11), (12), (14), (15),
% 195.29/32.30  | | |            (19) are inconsistent by sub-proof #472.
% 195.29/32.30  | | | 
% 195.29/32.30  | | Case 2:
% 195.29/32.30  | | | 
% 195.29/32.30  | | |   (20)  all_56_10 = e3 & op(e2, e0) = e3
% 195.29/32.30  | | | 
% 195.29/32.30  | | | REF_CLOSE: (1), (3), (5), (20) are inconsistent by sub-proof #1456.
% 195.29/32.30  | | | 
% 195.29/32.30  | | End of split
% 195.29/32.30  | | 
% 195.29/32.30  | End of split
% 195.29/32.30  | 
% 195.29/32.30  End of proof
% 195.29/32.30  
% 195.29/32.30  Sub-proof #472 shows that the following formulas are inconsistent:
% 195.29/32.30  ----------------------------------------------------------------
% 195.29/32.30    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.29/32.30         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.29/32.30    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.30    (3)  op(e2, e2) = e1
% 195.29/32.30    (4)  all_56_5 = e3
% 195.29/32.30    (5)   ~ (all_52_9 = e2)
% 195.29/32.30    (6)   ~ (e1 = e0)
% 195.29/32.30    (7)  all_56_2 = e1
% 195.29/32.30    (8)   ~ (e2 = e1)
% 195.29/32.30    (9)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.29/32.30         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.29/32.30    (10)  op(e2, e1) = all_52_9
% 195.29/32.30    (11)   ~ (e2 = e0)
% 195.29/32.30    (12)   ~ (e3 = e0)
% 195.29/32.30  
% 195.29/32.30  Begin of proof
% 195.29/32.30  | 
% 195.29/32.30  | BETA: splitting (1) gives:
% 195.29/32.30  | 
% 195.29/32.30  | Case 1:
% 195.29/32.30  | | 
% 195.29/32.30  | |   (13)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 195.29/32.30  | |           e0)
% 195.29/32.30  | | 
% 195.29/32.30  | | REF_CLOSE: (2), (3), (6), (7), (13) are inconsistent by sub-proof #1020.
% 195.29/32.30  | | 
% 195.29/32.30  | Case 2:
% 195.29/32.30  | | 
% 195.29/32.30  | |   (14)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 195.29/32.30  | |           e0)
% 195.29/32.30  | | 
% 195.29/32.30  | | BETA: splitting (14) gives:
% 195.29/32.30  | | 
% 195.29/32.30  | | Case 1:
% 195.29/32.30  | | | 
% 195.29/32.30  | | |   (15)  all_56_5 = e0 & op(e2, e1) = e0
% 195.29/32.30  | | | 
% 195.29/32.30  | | | REF_CLOSE: (4), (12), (15) are inconsistent by sub-proof #1499.
% 195.29/32.30  | | | 
% 195.29/32.30  | | Case 2:
% 195.29/32.30  | | | 
% 195.29/32.30  | | |   (16)  all_56_10 = e0 & op(e2, e0) = e0
% 195.29/32.30  | | | 
% 195.29/32.30  | | | ALPHA: (16) implies:
% 195.29/32.30  | | |   (17)  all_56_10 = e0
% 195.29/32.30  | | | 
% 195.29/32.30  | | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (10), (11), (17) are inconsistent
% 195.29/32.30  | | |            by sub-proof #473.
% 195.29/32.30  | | | 
% 195.29/32.30  | | End of split
% 195.29/32.30  | | 
% 195.29/32.30  | End of split
% 195.29/32.30  | 
% 195.29/32.30  End of proof
% 195.29/32.30  
% 195.29/32.30  Sub-proof #473 shows that the following formulas are inconsistent:
% 195.29/32.30  ----------------------------------------------------------------
% 195.29/32.30    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.30    (2)  op(e2, e2) = e1
% 195.29/32.30    (3)   ~ (all_52_9 = e2)
% 195.29/32.30    (4)  all_56_10 = e0
% 195.29/32.30    (5)  all_56_2 = e1
% 195.29/32.30    (6)   ~ (e2 = e1)
% 195.29/32.30    (7)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.29/32.30         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.29/32.30    (8)  op(e2, e1) = all_52_9
% 195.29/32.30    (9)   ~ (e2 = e0)
% 195.29/32.30  
% 195.29/32.30  Begin of proof
% 195.29/32.30  | 
% 195.29/32.30  | BETA: splitting (7) gives:
% 195.29/32.30  | 
% 195.29/32.30  | Case 1:
% 195.29/32.30  | | 
% 195.29/32.30  | |   (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 195.29/32.30  | |           e2)
% 195.29/32.30  | | 
% 195.29/32.30  | | REF_CLOSE: (1), (2), (5), (6), (10) are inconsistent by sub-proof #474.
% 195.29/32.30  | | 
% 195.29/32.30  | Case 2:
% 195.29/32.30  | | 
% 195.29/32.31  | |   (11)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 195.29/32.31  | |           e2)
% 195.29/32.31  | | 
% 195.29/32.31  | | BETA: splitting (11) gives:
% 195.29/32.31  | | 
% 195.29/32.31  | | Case 1:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (12)  all_56_5 = e2 & op(e2, e1) = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | ALPHA: (12) implies:
% 195.29/32.31  | | |   (13)  op(e2, e1) = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REF_CLOSE: (1), (3), (8), (13) are inconsistent by sub-proof #1942.
% 195.29/32.31  | | | 
% 195.29/32.31  | | Case 2:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (14)  all_56_10 = e2 & op(e2, e0) = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REF_CLOSE: (4), (9), (14) are inconsistent by sub-proof #1003.
% 195.29/32.31  | | | 
% 195.29/32.31  | | End of split
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #474 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (2)  op(e2, e2) = e1
% 195.29/32.31    (3)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 195.29/32.31    (4)  all_56_2 = e1
% 195.29/32.31    (5)   ~ (e2 = e1)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | BETA: splitting (3) gives:
% 195.29/32.31  | 
% 195.29/32.31  | Case 1:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (6)  all_56_2 = e2 & op(e2, e3) = e2
% 195.29/32.31  | | 
% 195.29/32.31  | | ALPHA: (6) implies:
% 195.29/32.31  | |   (7)  all_56_2 = e2
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #1855.
% 195.29/32.31  | | 
% 195.29/32.31  | Case 2:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 195.29/32.31  | | 
% 195.29/32.31  | | ALPHA: (8) implies:
% 195.29/32.31  | |   (9)  op(e2, e2) = e2
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1783.
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #475 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)  all_56_10 = e1 & op(e2, e0) = e1
% 195.29/32.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (3)  op(e2, e0) = all_18_0
% 195.29/32.31    (4)   ~ (all_18_0 = e1)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | ALPHA: (1) implies:
% 195.29/32.31  |   (5)  op(e2, e0) = e1
% 195.29/32.31  | 
% 195.29/32.31  | GROUND_INST: instantiating (2) with all_18_0, e1, e0, e2, simplifying with
% 195.29/32.31  |              (3), (5) gives:
% 195.29/32.31  |   (6)  all_18_0 = e1
% 195.29/32.31  | 
% 195.29/32.31  | REDUCE: (4), (6) imply:
% 195.29/32.31  |   (7)  $false
% 195.29/32.31  | 
% 195.29/32.31  | CLOSE: (7) is inconsistent.
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #476 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 & $i(all_18_1)
% 195.29/32.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (3)  op(e0, e3) = e2
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | ALPHA: (1) implies:
% 195.29/32.31  |   (4)   ~ (all_18_1 = e2)
% 195.29/32.31  |   (5)  op(e0, e3) = all_18_1
% 195.29/32.31  | 
% 195.29/32.31  | GROUND_INST: instantiating (2) with e2, all_18_1, e3, e0, simplifying with
% 195.29/32.31  |              (3), (5) gives:
% 195.29/32.31  |   (6)  all_18_1 = e2
% 195.29/32.31  | 
% 195.29/32.31  | REDUCE: (4), (6) imply:
% 195.29/32.31  |   (7)  $false
% 195.29/32.31  | 
% 195.29/32.31  | CLOSE: (7) is inconsistent.
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #477 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.29/32.31    (2)   ~ (all_18_0 = all_4_2)
% 195.29/32.31    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (4)  op(e2, e2) = all_4_2
% 195.29/32.31    (5)   ~ (all_18_0 = e2)
% 195.29/32.31    (6)   ~ (all_18_0 = e1)
% 195.29/32.31    (7)   ~ (all_18_0 = e3)
% 195.29/32.31    (8)  all_54_7 = all_18_0
% 195.29/32.31    (9)   ~ (all_4_2 = e1)
% 195.29/32.31    (10)   ~ (all_4_2 = e3)
% 195.29/32.31    (11)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.29/32.31    (12)  all_54_5 = all_4_2
% 195.29/32.31    (13)  op(e2, e2) = e0
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | BETA: splitting (11) gives:
% 195.29/32.31  | 
% 195.29/32.31  | Case 1:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (14)  all_54_7 = e3
% 195.29/32.31  | | 
% 195.29/32.31  | | COMBINE_EQS: (8), (14) imply:
% 195.29/32.31  | |   (15)  all_18_0 = e3
% 195.29/32.31  | | 
% 195.29/32.31  | | REDUCE: (7), (15) imply:
% 195.29/32.31  | |   (16)  $false
% 195.29/32.31  | | 
% 195.29/32.31  | | CLOSE: (16) is inconsistent.
% 195.29/32.31  | | 
% 195.29/32.31  | Case 2:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (17)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | BETA: splitting (17) gives:
% 195.29/32.31  | | 
% 195.29/32.31  | | Case 1:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (18)  all_54_7 = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | COMBINE_EQS: (8), (18) imply:
% 195.29/32.31  | | |   (19)  all_18_0 = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REDUCE: (5), (19) imply:
% 195.29/32.31  | | |   (20)  $false
% 195.29/32.31  | | | 
% 195.29/32.31  | | | CLOSE: (20) is inconsistent.
% 195.29/32.31  | | | 
% 195.29/32.31  | | Case 2:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (21)  all_54_7 = e1 | all_54_7 = e0
% 195.29/32.31  | | | 
% 195.29/32.31  | | | BETA: splitting (21) gives:
% 195.29/32.31  | | | 
% 195.29/32.31  | | | Case 1:
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | |   (22)  all_54_7 = e1
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | | COMBINE_EQS: (8), (22) imply:
% 195.29/32.31  | | | |   (23)  all_18_0 = e1
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | | REDUCE: (6), (23) imply:
% 195.29/32.31  | | | |   (24)  $false
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | | CLOSE: (24) is inconsistent.
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | Case 2:
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | |   (25)  all_54_7 = e0
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | | COMBINE_EQS: (8), (25) imply:
% 195.29/32.31  | | | |   (26)  all_18_0 = e0
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | | REDUCE: (2), (26) imply:
% 195.29/32.31  | | | |   (27)   ~ (all_4_2 = e0)
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | | SIMP: (27) implies:
% 195.29/32.31  | | | |   (28)   ~ (all_4_2 = e0)
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | | REF_CLOSE: (1), (3), (4), (9), (10), (12), (13), (28) are inconsistent
% 195.29/32.31  | | | |            by sub-proof #1220.
% 195.29/32.31  | | | | 
% 195.29/32.31  | | | End of split
% 195.29/32.31  | | | 
% 195.29/32.31  | | End of split
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #478 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)  all_56_11 = e1
% 195.29/32.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (3)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.29/32.31    (4)  op(e1, e1) = e2
% 195.29/32.31    (5)   ~ (e1 = e0)
% 195.29/32.31    (6)   ~ (e2 = e0)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | BETA: splitting (3) gives:
% 195.29/32.31  | 
% 195.29/32.31  | Case 1:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | ALPHA: (7) implies:
% 195.29/32.31  | |   (8)  op(e1, e1) = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1821.
% 195.29/32.31  | | 
% 195.29/32.31  | Case 2:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | ALPHA: (9) implies:
% 195.29/32.31  | |   (10)  all_56_11 = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #479.
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #479 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)  all_56_11 = e1
% 195.29/32.31    (2)  all_56_11 = e0
% 195.29/32.31    (3)   ~ (e1 = e0)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | COMBINE_EQS: (1), (2) imply:
% 195.29/32.31  |   (4)  e1 = e0
% 195.29/32.31  | 
% 195.29/32.31  | SIMP: (4) implies:
% 195.29/32.31  |   (5)  e1 = e0
% 195.29/32.31  | 
% 195.29/32.31  | REDUCE: (3), (5) imply:
% 195.29/32.31  |   (6)  $false
% 195.29/32.31  | 
% 195.29/32.31  | CLOSE: (6) is inconsistent.
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #480 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (2)  op(e2, e1) = e3
% 195.29/32.31    (3)  op(e2, e1) = e1
% 195.29/32.31    (4)   ~ (e3 = e1)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | GROUND_INST: instantiating (1) with e3, e1, e1, e2, simplifying with (2), (3)
% 195.29/32.31  |              gives:
% 195.29/32.31  |   (5)  e3 = e1
% 195.29/32.31  | 
% 195.29/32.31  | REDUCE: (4), (5) imply:
% 195.29/32.31  |   (6)  $false
% 195.29/32.31  | 
% 195.29/32.31  | CLOSE: (6) is inconsistent.
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #481 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.29/32.31             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.29/32.31           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 195.29/32.31           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.29/32.31           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.29/32.31           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.29/32.31           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 195.29/32.31           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 195.29/32.31           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 195.29/32.31           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 195.29/32.31           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.29/32.31           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.29/32.31           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.29/32.31           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.29/32.31           $i(all_57_10) & $i(all_57_13))
% 195.29/32.31    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.29/32.31         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.29/32.31    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.29/32.31         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.29/32.31    (4)   ~ (e3 = e2)
% 195.29/32.31    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (6)   ~ (all_52_12 = e3)
% 195.29/32.31    (7)   ~ (e1 = e0)
% 195.29/32.31    (8)  all_56_2 = e1
% 195.29/32.31    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.29/32.31         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.29/32.31    (10)   ~ (e2 = e1)
% 195.29/32.31    (11)  op(e3, e0) = all_52_12
% 195.29/32.31    (12)  op(e0, e0) = e3
% 195.29/32.31    (13)   ~ (e3 = e1)
% 195.29/32.31    (14)   ~ (e2 = e0)
% 195.29/32.31    (15)   ~ (e3 = e0)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | BETA: splitting (1) gives:
% 195.29/32.31  | 
% 195.29/32.31  | Case 1:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (16)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 195.29/32.31  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.29/32.31  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 195.29/32.31  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 195.29/32.31  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.29/32.31  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 195.29/32.31  | | 
% 195.29/32.31  | | BETA: splitting (16) gives:
% 195.29/32.31  | | 
% 195.29/32.31  | | Case 1:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (17)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.29/32.31  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.29/32.31  | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.29/32.31  | | |         $i(all_57_10)
% 195.29/32.31  | | | 
% 195.29/32.31  | | | ALPHA: (17) implies:
% 195.29/32.31  | | |   (18)  op(e0, e0) = e1
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REF_CLOSE: (5), (12), (13), (18) are inconsistent by sub-proof #1392.
% 195.29/32.31  | | | 
% 195.29/32.31  | | Case 2:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (19)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.29/32.31  | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.29/32.31  | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.29/32.31  | | |         $i(all_57_12)
% 195.29/32.31  | | | 
% 195.29/32.31  | | | ALPHA: (19) implies:
% 195.29/32.31  | | |   (20)  op(e3, e3) = e1
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (13), (14), (15), (20)
% 195.29/32.31  | | |            are inconsistent by sub-proof #1844.
% 195.29/32.31  | | | 
% 195.29/32.31  | | End of split
% 195.29/32.31  | | 
% 195.29/32.31  | Case 2:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (21)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 195.29/32.31  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.29/32.31  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.29/32.31  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.29/32.31  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.29/32.31  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.29/32.31  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 195.29/32.31  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 195.29/32.31  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.29/32.31  | |           $i(all_57_13))
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (5), (6), (11), (12), (13), (21) are inconsistent by sub-proof
% 195.29/32.31  | |            #1189.
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #482 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)   ~ (all_52_14 = all_18_0)
% 195.29/32.31    (2)   ~ (e3 = e2)
% 195.29/32.31    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (4)   ~ (all_18_0 = e2)
% 195.29/32.31    (5)   ~ (all_18_0 = e1)
% 195.29/32.31    (6)   ~ (all_18_0 = e3)
% 195.29/32.31    (7)   ~ (all_52_14 = e2)
% 195.29/32.31    (8)  op(e1, e0) = all_52_14
% 195.29/32.31    (9)  all_54_7 = all_18_0
% 195.29/32.31    (10)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.29/32.31    (11)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.29/32.31              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.29/32.31                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.29/32.31                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.29/32.31    (12)   ~ (e2 = e1)
% 195.29/32.31    (13)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.29/32.31          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.29/32.31    (14)  op(e0, e0) = e3
% 195.29/32.31    (15)  all_56_10 = e1 & op(e2, e0) = e1
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | ALPHA: (15) implies:
% 195.29/32.31  |   (16)  all_56_10 = e1
% 195.29/32.31  | 
% 195.29/32.31  | BETA: splitting (13) gives:
% 195.29/32.31  | 
% 195.29/32.31  | Case 1:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (17)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 195.29/32.31  | |           e2)
% 195.29/32.31  | | 
% 195.29/32.31  | | BETA: splitting (17) gives:
% 195.29/32.31  | | 
% 195.29/32.31  | | Case 1:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (18)  all_56_9 = e2 & op(e3, e0) = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | ALPHA: (18) implies:
% 195.29/32.31  | | |   (19)  all_56_9 = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (14), (16), (19)
% 195.29/32.31  | | |            are inconsistent by sub-proof #484.
% 195.29/32.31  | | | 
% 195.29/32.31  | | Case 2:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (20)  all_56_10 = e2 & op(e2, e0) = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | ALPHA: (20) implies:
% 195.29/32.31  | | |   (21)  all_56_10 = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | COMBINE_EQS: (16), (21) imply:
% 195.29/32.31  | | |   (22)  e2 = e1
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REDUCE: (12), (22) imply:
% 195.29/32.31  | | |   (23)  $false
% 195.29/32.31  | | | 
% 195.29/32.31  | | | CLOSE: (23) is inconsistent.
% 195.29/32.31  | | | 
% 195.29/32.31  | | End of split
% 195.29/32.31  | | 
% 195.29/32.31  | Case 2:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (24)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.29/32.31  | |           e2)
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (2), (3), (7), (8), (14), (24) are inconsistent by sub-proof
% 195.29/32.31  | |            #483.
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #483 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)   ~ (e3 = e2)
% 195.29/32.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (3)   ~ (all_52_14 = e2)
% 195.29/32.31    (4)  op(e1, e0) = all_52_14
% 195.29/32.31    (5)  op(e0, e0) = e3
% 195.29/32.31    (6)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | BETA: splitting (6) gives:
% 195.29/32.31  | 
% 195.29/32.31  | Case 1:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (7)  all_56_11 = e2 & op(e1, e0) = e2
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #760.
% 195.29/32.31  | | 
% 195.29/32.31  | Case 2:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 195.29/32.31  | | 
% 195.29/32.31  | | ALPHA: (8) implies:
% 195.29/32.31  | |   (9)  op(e0, e0) = e2
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1692.
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #484 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)   ~ (all_52_14 = all_18_0)
% 195.29/32.31    (2)  all_56_10 = e1
% 195.29/32.31    (3)  all_56_9 = e2
% 195.29/32.31    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (5)   ~ (all_18_0 = e2)
% 195.29/32.31    (6)   ~ (all_18_0 = e1)
% 195.29/32.31    (7)   ~ (all_18_0 = e3)
% 195.29/32.31    (8)  op(e1, e0) = all_52_14
% 195.29/32.31    (9)  all_54_7 = all_18_0
% 195.29/32.31    (10)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.29/32.31    (11)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.29/32.31              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.29/32.31                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.29/32.31                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.29/32.31    (12)  op(e0, e0) = e3
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | BETA: splitting (10) gives:
% 195.29/32.31  | 
% 195.29/32.31  | Case 1:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (13)  all_54_7 = e3
% 195.29/32.31  | | 
% 195.29/32.31  | | COMBINE_EQS: (9), (13) imply:
% 195.29/32.31  | |   (14)  all_18_0 = e3
% 195.29/32.31  | | 
% 195.29/32.31  | | REDUCE: (7), (14) imply:
% 195.29/32.31  | |   (15)  $false
% 195.29/32.31  | | 
% 195.29/32.31  | | CLOSE: (15) is inconsistent.
% 195.29/32.31  | | 
% 195.29/32.31  | Case 2:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (16)   ~ (all_54_7 = e3)
% 195.29/32.31  | |   (17)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | BETA: splitting (17) gives:
% 195.29/32.31  | | 
% 195.29/32.31  | | Case 1:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (18)  all_54_7 = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | COMBINE_EQS: (9), (18) imply:
% 195.29/32.31  | | |   (19)  all_18_0 = e2
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REDUCE: (5), (19) imply:
% 195.29/32.31  | | |   (20)  $false
% 195.29/32.31  | | | 
% 195.29/32.31  | | | CLOSE: (20) is inconsistent.
% 195.29/32.31  | | | 
% 195.29/32.31  | | Case 2:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (21)  all_54_7 = e1 | all_54_7 = e0
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (21)
% 195.29/32.31  | | |            are inconsistent by sub-proof #485.
% 195.29/32.31  | | | 
% 195.29/32.31  | | End of split
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #485 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)   ~ (all_52_14 = all_18_0)
% 195.29/32.31    (2)  all_56_10 = e1
% 195.29/32.31    (3)  all_56_9 = e2
% 195.29/32.31    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (5)   ~ (all_18_0 = e2)
% 195.29/32.31    (6)   ~ (all_18_0 = e1)
% 195.29/32.31    (7)   ~ (all_18_0 = e3)
% 195.29/32.31    (8)  op(e1, e0) = all_52_14
% 195.29/32.31    (9)  all_54_7 = all_18_0
% 195.29/32.31    (10)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.29/32.31              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.29/32.31                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.29/32.31                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.29/32.31    (11)  all_54_7 = e1 | all_54_7 = e0
% 195.29/32.31    (12)  op(e0, e0) = e3
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | BETA: splitting (11) gives:
% 195.29/32.31  | 
% 195.29/32.31  | Case 1:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (13)  all_54_7 = e1
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (6), (9), (13) are inconsistent by sub-proof #488.
% 195.29/32.31  | | 
% 195.29/32.31  | Case 2:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (14)  all_54_7 = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | COMBINE_EQS: (9), (14) imply:
% 195.29/32.31  | |   (15)  all_18_0 = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | SIMP: (15) implies:
% 195.29/32.31  | |   (16)  all_18_0 = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | REDUCE: (1), (16) imply:
% 195.29/32.31  | |   (17)   ~ (all_52_14 = e0)
% 195.29/32.31  | | 
% 195.29/32.31  | | REDUCE: (7), (16) imply:
% 195.29/32.31  | |   (18)   ~ (e3 = e0)
% 195.29/32.31  | | 
% 195.29/32.31  | | SIMP: (18) implies:
% 195.29/32.31  | |   (19)   ~ (e3 = e0)
% 195.29/32.31  | | 
% 195.29/32.31  | | REDUCE: (5), (16) imply:
% 195.29/32.31  | |   (20)   ~ (e2 = e0)
% 195.29/32.31  | | 
% 195.29/32.31  | | SIMP: (20) implies:
% 195.29/32.31  | |   (21)   ~ (e2 = e0)
% 195.29/32.31  | | 
% 195.29/32.31  | | REDUCE: (6), (16) imply:
% 195.29/32.31  | |   (22)   ~ (e1 = e0)
% 195.29/32.31  | | 
% 195.29/32.31  | | SIMP: (22) implies:
% 195.29/32.31  | |   (23)   ~ (e1 = e0)
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (2), (3), (4), (8), (10), (12), (17), (19), (21), (23) are
% 195.29/32.31  | |            inconsistent by sub-proof #486.
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #486 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)   ~ (all_52_14 = e0)
% 195.29/32.31    (2)  all_56_10 = e1
% 195.29/32.31    (3)  all_56_9 = e2
% 195.29/32.31    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (5)  op(e1, e0) = all_52_14
% 195.29/32.31    (6)   ~ (e1 = e0)
% 195.29/32.31    (7)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.29/32.31             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 195.29/32.31               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.29/32.31               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.29/32.31    (8)  op(e0, e0) = e3
% 195.29/32.31    (9)   ~ (e2 = e0)
% 195.29/32.31    (10)   ~ (e3 = e0)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | BETA: splitting (7) gives:
% 195.29/32.31  | 
% 195.29/32.31  | Case 1:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (11)  all_56_15 = e0 & op(e0, e0) = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | ALPHA: (11) implies:
% 195.29/32.31  | |   (12)  op(e0, e0) = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (4), (8), (10), (12) are inconsistent by sub-proof #1947.
% 195.29/32.31  | | 
% 195.29/32.31  | Case 2:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (13)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 195.29/32.31  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 195.29/32.31  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 195.29/32.31  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 195.29/32.31  | | 
% 195.29/32.31  | | ALPHA: (13) implies:
% 195.29/32.31  | |   (14)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 195.29/32.31  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (14) are inconsistent by
% 195.29/32.31  | |            sub-proof #487.
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #487 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)   ~ (all_52_14 = e0)
% 195.29/32.31    (2)  all_56_10 = e1
% 195.29/32.31    (3)  all_56_9 = e2
% 195.29/32.31    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (5)  op(e1, e0) = all_52_14
% 195.29/32.31    (6)   ~ (e1 = e0)
% 195.29/32.31    (7)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 195.29/32.31         (all_56_11 = e0 & op(e1, e0) = e0)
% 195.29/32.31    (8)   ~ (e2 = e0)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | BETA: splitting (7) gives:
% 195.29/32.31  | 
% 195.29/32.31  | Case 1:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (9)  all_56_9 = e0 & op(e3, e0) = e0
% 195.29/32.31  | | 
% 195.29/32.31  | | REF_CLOSE: (3), (8), (9) are inconsistent by sub-proof #1572.
% 195.29/32.31  | | 
% 195.29/32.31  | Case 2:
% 195.29/32.31  | | 
% 195.29/32.31  | |   (10)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 195.29/32.31  | |           e0)
% 195.29/32.31  | | 
% 195.29/32.31  | | BETA: splitting (10) gives:
% 195.29/32.31  | | 
% 195.29/32.31  | | Case 1:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (11)  all_56_10 = e0 & op(e2, e0) = e0
% 195.29/32.31  | | | 
% 195.29/32.31  | | | ALPHA: (11) implies:
% 195.29/32.31  | | |   (12)  all_56_10 = e0
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REF_CLOSE: (2), (6), (12) are inconsistent by sub-proof #1411.
% 195.29/32.31  | | | 
% 195.29/32.31  | | Case 2:
% 195.29/32.31  | | | 
% 195.29/32.31  | | |   (13)  all_56_11 = e0 & op(e1, e0) = e0
% 195.29/32.31  | | | 
% 195.29/32.31  | | | ALPHA: (13) implies:
% 195.29/32.31  | | |   (14)  op(e1, e0) = e0
% 195.29/32.31  | | | 
% 195.29/32.31  | | | REF_CLOSE: (1), (4), (5), (14) are inconsistent by sub-proof #1884.
% 195.29/32.31  | | | 
% 195.29/32.31  | | End of split
% 195.29/32.31  | | 
% 195.29/32.31  | End of split
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #488 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)  all_54_7 = all_18_0
% 195.29/32.31    (2)  all_54_7 = e1
% 195.29/32.31    (3)   ~ (all_18_0 = e1)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | COMBINE_EQS: (1), (2) imply:
% 195.29/32.31  |   (4)  all_18_0 = e1
% 195.29/32.31  | 
% 195.29/32.31  | SIMP: (4) implies:
% 195.29/32.31  |   (5)  all_18_0 = e1
% 195.29/32.31  | 
% 195.29/32.31  | REDUCE: (3), (5) imply:
% 195.29/32.31  |   (6)  $false
% 195.29/32.31  | 
% 195.29/32.31  | CLOSE: (6) is inconsistent.
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #489 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.31    (2)  op(e1, e3) = e1
% 195.29/32.31    (3)  op(e1, e3) = e0
% 195.29/32.31    (4)   ~ (e1 = e0)
% 195.29/32.31  
% 195.29/32.31  Begin of proof
% 195.29/32.31  | 
% 195.29/32.31  | GROUND_INST: instantiating (1) with e0, e1, e3, e1, simplifying with (2), (3)
% 195.29/32.31  |              gives:
% 195.29/32.31  |   (5)  e1 = e0
% 195.29/32.31  | 
% 195.29/32.31  | REDUCE: (4), (5) imply:
% 195.29/32.31  |   (6)  $false
% 195.29/32.31  | 
% 195.29/32.31  | CLOSE: (6) is inconsistent.
% 195.29/32.31  | 
% 195.29/32.31  End of proof
% 195.29/32.31  
% 195.29/32.31  Sub-proof #490 shows that the following formulas are inconsistent:
% 195.29/32.31  ----------------------------------------------------------------
% 195.29/32.31    (1)  op(e1, e3) = all_52_2
% 195.29/32.32    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.29/32.32           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.29/32.32           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.29/32.32                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.29/32.32               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.29/32.32               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.29/32.32           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.29/32.32           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.29/32.32               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.29/32.32           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.29/32.32               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.29/32.32           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.29/32.32           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.29/32.32               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.29/32.32               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.29/32.32               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.32         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.29/32.32           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.29/32.32           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.29/32.32               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.29/32.32             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.29/32.32         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.29/32.32           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.29/32.32           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.29/32.32                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.29/32.32               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.29/32.32               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.29/32.32           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.29/32.32           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.29/32.32             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.29/32.32           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.29/32.32               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.29/32.32           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.29/32.32           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.29/32.32               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.29/32.32               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.29/32.32               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.32         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.29/32.32           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.29/32.32           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.29/32.32               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.29/32.32             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.29/32.32         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.29/32.32           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.29/32.32           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.29/32.32                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.29/32.32               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.29/32.32               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.29/32.32           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.29/32.32             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.29/32.32               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.29/32.32           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.29/32.32               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.29/32.32           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.29/32.32           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.29/32.32               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.29/32.32               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.29/32.32               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.29/32.32         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.29/32.32           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.29/32.32           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.29/32.32               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.29/32.32             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.29/32.32         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.29/32.32             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.29/32.32           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.29/32.32               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.29/32.32             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.29/32.32         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.29/32.32             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.29/32.32           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.29/32.32               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.29/32.32             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.29/32.32         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.29/32.32             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.29/32.32           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.29/32.32               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.29/32.32             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.32         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.29/32.32             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.29/32.32           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.29/32.32               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.29/32.32             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.29/32.32    (3)  op(e1, e2) = all_52_6
% 195.29/32.32    (4)  op(e0, e0) = all_14_2
% 195.29/32.32    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.29/32.32         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.29/32.32    (6)   ~ (all_14_2 = e1)
% 195.29/32.32    (7)   ~ (e3 = e2)
% 195.29/32.32    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.29/32.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.29/32.32    (9)   ~ (all_52_3 = all_14_2)
% 195.29/32.32    (10)  op(e3, e2) = all_52_4
% 195.29/32.32    (11)  op(e2, e2) = e1
% 195.29/32.32    (12)  op(e3, e3) = e1
% 195.29/32.32    (13)   ~ (all_52_7 = all_52_11)
% 195.29/32.32    (14)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 195.29/32.32          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.29/32.32    (15)   ~ (all_52_4 = all_52_8)
% 195.29/32.32    (16)  op(e0, e3) = all_52_3
% 195.29/32.32    (17)   ~ (all_52_14 = e2)
% 195.29/32.32    (18)  op(e2, e0) = all_52_13
% 195.29/32.32    (19)  op(e1, e0) = all_52_14
% 195.29/32.32    (20)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 195.29/32.32    (21)   ~ (all_52_12 = all_14_2)
% 195.29/32.32    (22)   ~ (all_52_13 = e1)
% 195.29/32.32    (23)   ~ (all_52_2 = all_52_14)
% 195.29/32.32    (24)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.29/32.32              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.29/32.32            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.29/32.32            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.29/32.32            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.29/32.32            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.29/32.32            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.29/32.32            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.29/32.32            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.29/32.32            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.29/32.32            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.29/32.32            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.29/32.32            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.29/32.32            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.29/32.32            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.29/32.32            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.29/32.32            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.29/32.32            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.29/32.32            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.29/32.32            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.29/32.32            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.29/32.32            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.29/32.32            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.29/32.32            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.29/32.32            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.29/32.32            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.29/32.32            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.29/32.32            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.29/32.32            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.29/32.32            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.29/32.32            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.29/32.32            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.29/32.32            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.29/32.32            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.29/32.32            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.29/32.32            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.29/32.32            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.29/32.32            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.29/32.32            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.29/32.32            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.29/32.32            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.29/32.32            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.29/32.32            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.29/32.32            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.29/32.32            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.29/32.32            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.29/32.32            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.29/32.32            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.29/32.32              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.29/32.32            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.29/32.32            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.29/32.32              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.29/32.32            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.29/32.32            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.29/32.32                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.29/32.32                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.29/32.32                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.29/32.32                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.29/32.32                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.29/32.32                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.29/32.32                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.29/32.32              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.29/32.32                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.29/32.32                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.29/32.32                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.29/32.32                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.29/32.32                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.29/32.32                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.29/32.32                $i(all_57_7))))
% 195.29/32.32    (25)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 195.29/32.32          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 195.29/32.32    (26)   ~ (all_52_2 = e2)
% 195.29/32.32    (27)   ~ (all_52_9 = e2)
% 195.29/32.32    (28)   ~ (all_52_14 = all_14_2)
% 195.29/32.32    (29)   ~ (all_28_2 = e2) | ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 195.29/32.32            op(e0, e2) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 =
% 195.29/32.32              e3) & op(e0, e2) = all_28_1 & $i(all_28_1))
% 195.29/32.32    (30)  op(e0, e1) = all_52_11
% 195.29/32.32    (31)   ~ (all_52_6 = all_52_14)
% 195.29/32.32    (32)   ~ (all_14_2 = e3)
% 195.29/32.32    (33)   ~ (all_52_8 = all_52_12)
% 195.29/32.32    (34)   ~ (all_52_8 = e2)
% 195.29/32.32    (35)  all_54_15 = all_14_2
% 195.29/32.32    (36)  op(e1, e1) = e2
% 195.29/32.32    (37)   ~ (e1 = e0)
% 195.29/32.32    (38)   ~ (all_52_1 = all_52_13)
% 195.29/32.32    (39)   ~ (all_52_4 = e1)
% 195.29/32.32    (40)   ~ (all_52_7 = all_14_2)
% 195.29/32.32    (41)   ~ (all_52_12 = e1)
% 195.29/32.32    (42)  op(e3, e0) = all_52_12
% 195.29/32.32    (43)  op(e2, e1) = all_52_9
% 195.29/32.32    (44)  all_28_2 = all_14_2
% 195.29/32.32    (45)  op(e3, e1) = all_52_8
% 195.29/32.32    (46)   ~ (e3 = e1)
% 195.29/32.32    (47)  op(e0, e2) = all_52_7
% 195.29/32.32    (48)   ~ (e2 = e0)
% 195.29/32.32    (49)  op(e2, e3) = all_52_1
% 195.29/32.32    (50)   ~ (all_52_3 = all_52_11)
% 195.29/32.32  
% 195.29/32.32  Begin of proof
% 195.29/32.32  | 
% 195.29/32.32  | BETA: splitting (14) gives:
% 195.29/32.32  | 
% 195.29/32.32  | Case 1:
% 195.29/32.32  | | 
% 195.29/32.32  | |   (51)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 195.29/32.32  | |           e1)
% 195.29/32.32  | | 
% 195.29/32.32  | | REF_CLOSE: (8), (18), (22), (41), (42), (51) are inconsistent by sub-proof
% 195.29/32.32  | |            #1190.
% 195.29/32.32  | | 
% 195.29/32.32  | Case 2:
% 195.29/32.32  | | 
% 195.29/32.32  | |   (52)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.29/32.32  | |           e1)
% 195.29/32.32  | | 
% 195.29/32.32  | | BETA: splitting (52) gives:
% 195.29/32.32  | | 
% 195.29/32.32  | | Case 1:
% 195.29/32.32  | | | 
% 195.29/32.32  | | |   (53)  all_56_11 = e1 & op(e1, e0) = e1
% 195.29/32.32  | | | 
% 195.29/32.32  | | | ALPHA: (53) implies:
% 195.29/32.32  | | |   (54)  op(e1, e0) = e1
% 195.29/32.32  | | | 
% 195.29/32.32  | | | GROUND_INST: instantiating (8) with all_52_14, e1, e0, e1, simplifying
% 195.29/32.32  | | |              with (19), (54) gives:
% 195.29/32.32  | | |   (55)  all_52_14 = e1
% 195.29/32.32  | | | 
% 195.29/32.32  | | | REDUCE: (23), (55) imply:
% 195.29/32.32  | | |   (56)   ~ (all_52_2 = e1)
% 195.29/32.32  | | | 
% 195.29/32.32  | | | REDUCE: (31), (55) imply:
% 195.29/32.32  | | |   (57)   ~ (all_52_6 = e1)
% 195.29/32.32  | | | 
% 195.29/32.32  | | | REDUCE: (28), (55) imply:
% 195.29/32.32  | | |   (58)   ~ (all_14_2 = e1)
% 195.29/32.32  | | | 
% 195.29/32.32  | | | REDUCE: (17), (55) imply:
% 195.29/32.32  | | |   (59)   ~ (e2 = e1)
% 195.29/32.32  | | | 
% 195.29/32.32  | | | SIMP: (59) implies:
% 195.29/32.32  | | |   (60)   ~ (e2 = e1)
% 195.29/32.32  | | | 
% 195.29/32.32  | | | BETA: splitting (29) gives:
% 195.29/32.32  | | | 
% 195.29/32.32  | | | Case 1:
% 195.29/32.32  | | | | 
% 195.29/32.32  | | | |   (61)   ~ (all_28_2 = e2)
% 195.29/32.32  | | | | 
% 195.29/32.32  | | | | REDUCE: (44), (61) imply:
% 195.29/32.32  | | | |   (62)   ~ (all_14_2 = e2)
% 195.29/32.32  | | | | 
% 195.29/32.32  | | | | BETA: splitting (20) gives:
% 195.29/32.32  | | | | 
% 195.29/32.32  | | | | Case 1:
% 195.29/32.32  | | | | | 
% 195.29/32.32  | | | | |   (63)  all_54_15 = e3
% 195.29/32.32  | | | | | 
% 195.29/32.32  | | | | | COMBINE_EQS: (35), (63) imply:
% 195.29/32.32  | | | | |   (64)  all_14_2 = e3
% 195.29/32.32  | | | | | 
% 195.29/32.32  | | | | | REDUCE: (32), (64) imply:
% 195.29/32.32  | | | | |   (65)  $false
% 195.29/32.32  | | | | | 
% 195.29/32.32  | | | | | CLOSE: (65) is inconsistent.
% 195.29/32.32  | | | | | 
% 195.29/32.32  | | | | Case 2:
% 195.29/32.32  | | | | | 
% 195.29/32.32  | | | | |   (66)   ~ (all_54_15 = e3)
% 195.29/32.32  | | | | |   (67)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 195.29/32.32  | | | | | 
% 195.29/32.32  | | | | | BETA: splitting (67) gives:
% 195.29/32.32  | | | | | 
% 195.29/32.32  | | | | | Case 1:
% 195.29/32.32  | | | | | | 
% 195.29/32.32  | | | | | |   (68)  all_54_15 = e2
% 195.29/32.32  | | | | | | 
% 195.29/32.32  | | | | | | COMBINE_EQS: (35), (68) imply:
% 195.29/32.32  | | | | | |   (69)  all_14_2 = e2
% 195.29/32.32  | | | | | | 
% 195.29/32.32  | | | | | | REDUCE: (62), (69) imply:
% 195.29/32.32  | | | | | |   (70)  $false
% 195.29/32.32  | | | | | | 
% 195.29/32.32  | | | | | | CLOSE: (70) is inconsistent.
% 195.29/32.32  | | | | | | 
% 195.29/32.32  | | | | | Case 2:
% 195.29/32.32  | | | | | | 
% 195.29/32.32  | | | | | |   (71)   ~ (all_54_15 = e2)
% 195.29/32.32  | | | | | |   (72)  all_54_15 = e1 | all_54_15 = e0
% 195.29/32.32  | | | | | | 
% 195.29/32.32  | | | | | | BETA: splitting (2) gives:
% 195.29/32.32  | | | | | | 
% 195.29/32.32  | | | | | | Case 1:
% 195.29/32.32  | | | | | | | 
% 195.29/32.32  | | | | | | |   (73)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 195.29/32.32  | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 195.29/32.32  | | | | | | |             e2) = all_57_12 & $i(all_57_12) & ((all_57_14 = e2 &
% 195.29/32.32  | | | | | | |               op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.29/32.32  | | | | | | |               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.29/32.32  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 195.29/32.32  | | | | | | |               = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 195.29/32.32  | | | | | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10
% 195.29/32.32  | | | | | | |           & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.29/32.32  | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 195.29/32.32  | | | | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.29/32.32  | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 195.29/32.32  | | | | | | |             | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.29/32.32  | | | | | | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.29/32.32  | | | | | | |           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 195.29/32.32  | | | | | | |           op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 195.29/32.32  | | | | | | |           & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.29/32.32  | | | | | | |                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.29/32.32  | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 195.29/32.32  | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.32  | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 195.29/32.32  | | | | | | |             e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 195.29/32.32  | | | | | | |           op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 195.29/32.32  | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.29/32.32  | | | | | | |               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 &
% 195.29/32.32  | | | | | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.29/32.32  | | | | | | |               = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 &
% 195.29/32.32  | | | | | | |           all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.29/32.32  | | | | | | |           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 195.29/32.32  | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2,
% 195.29/32.32  | | | | | | |                 e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.29/32.32  | | | | | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 &
% 195.29/32.32  | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 195.29/32.32  | | | | | | |               = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 195.29/32.32  | | | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10
% 195.29/32.32  | | | | | | |           & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.29/32.32  | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | (
% 195.29/32.32  | | | | | | |               ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.29/32.32  | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 195.29/32.32  | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.29/32.32  | | | | | | |               $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.29/32.32  | | | | | | |           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 195.29/32.32  | | | | | | |           op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 195.29/32.32  | | | | | | |           & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.29/32.32  | | | | | | |                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.29/32.32  | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 195.29/32.32  | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.32  | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2,
% 195.29/32.32  | | | | | | |             e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 &
% 195.29/32.32  | | | | | | |           op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 195.29/32.32  | | | | | | |               op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.29/32.32  | | | | | | |               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 &
% 195.29/32.32  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 195.29/32.32  | | | | | | |               = all_57_5 & $i(all_57_5))))
% 195.29/32.32  | | | | | | | 
% 195.29/32.32  | | | | | | | BETA: splitting (73) gives:
% 195.29/32.32  | | | | | | | 
% 195.29/32.32  | | | | | | | Case 1:
% 195.29/32.32  | | | | | | | | 
% 195.29/32.32  | | | | | | | |   (74)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 195.29/32.32  | | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 195.29/32.32  | | | | | | | |           op(e2, e2) = all_57_12 & $i(all_57_12) & ((all_57_14 =
% 195.29/32.32  | | | | | | | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.29/32.32  | | | | | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.29/32.32  | | | | | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 195.29/32.32  | | | | | | | |                 e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.29/32.32  | | | | | | | |         (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3,
% 195.29/32.32  | | | | | | | |             e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2
% 195.29/32.32  | | | | | | | |           & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 = e3 &
% 195.29/32.32  | | | | | | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 195.29/32.32  | | | | | | | |                 e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 195.29/32.32  | | | | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.29/32.32  | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.29/32.32  | | | | | | | |         (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3,
% 195.29/32.32  | | | | | | | |             e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.29/32.32  | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 =
% 195.29/32.32  | | | | | | | |               e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.29/32.32  | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.29/32.32  | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 195.29/32.32  | | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.29/32.32  | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 195.29/32.32  | | | | | | | |             e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1
% 195.29/32.32  | | | | | | | |           & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 195.29/32.32  | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 195.29/32.32  | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 195.29/32.32  | | | | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.29/32.32  | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.29/32.32  | | | | | | | | 
% 195.29/32.32  | | | | | | | | BETA: splitting (74) gives:
% 195.29/32.32  | | | | | | | | 
% 195.29/32.32  | | | | | | | | Case 1:
% 195.29/32.32  | | | | | | | | | 
% 195.29/32.32  | | | | | | | | |   (75)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.29/32.32  | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3
% 195.29/32.32  | | | | | | | | |           & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.29/32.32  | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.29/32.32  | | | | | | | | |                 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 195.29/32.32  | | | | | | | | |           & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 195.29/32.32  | | | | | | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.29/32.32  | | | | | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2
% 195.29/32.32  | | | | | | | | |           & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.29/32.32  | | | | | | | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.29/32.32  | | | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 195.29/32.32  | | | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.29/32.32  | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.29/32.32  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.29/32.32  | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 195.29/32.32  | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | REF_CLOSE: (8), (11), (12), (46), (60), (75) are inconsistent
% 195.29/32.32  | | | | | | | | |            by sub-proof #1185.
% 195.29/32.32  | | | | | | | | | 
% 195.29/32.32  | | | | | | | | Case 2:
% 195.29/32.32  | | | | | | | | | 
% 195.29/32.32  | | | | | | | | |   (76)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.29/32.32  | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3
% 195.29/32.32  | | | | | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.29/32.32  | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.29/32.32  | | | | | | | | |                 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 195.29/32.32  | | | | | | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.29/32.32  | | | | | | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.29/32.32  | | | | | | | | |               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 195.29/32.32  | | | | | | | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.29/32.32  | | | | | | | | |             e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.29/32.32  | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3)
% 195.29/32.32  | | | | | | | | |             | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.29/32.32  | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.29/32.32  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.29/32.32  | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 195.29/32.32  | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | BETA: splitting (76) gives:
% 195.29/32.32  | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | Case 1:
% 195.29/32.32  | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | |   (77)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.29/32.32  | | | | | | | | | |         op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3
% 195.29/32.32  | | | | | | | | | |         & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.29/32.32  | | | | | | | | | |         ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.29/32.32  | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 195.29/32.32  | | | | | | | | | |         & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.29/32.32  | | | | | | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.29/32.32  | | | | | | | | | |             $i(all_57_8)))
% 195.29/32.32  | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | ALPHA: (77) implies:
% 195.29/32.32  | | | | | | | | | |   (78)  op(e3, e1) = e3
% 195.29/32.32  | | | | | | | | | |   (79)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 195.29/32.32  | | | | | | | | | |             e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 195.29/32.32  | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | BETA: splitting (79) gives:
% 195.29/32.32  | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | Case 1:
% 195.29/32.32  | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | |   (80)  all_57_15 = e1 & op(e0, e0) = e1
% 195.29/32.32  | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | ALPHA: (80) implies:
% 195.29/32.32  | | | | | | | | | | |   (81)  op(e0, e0) = e1
% 195.29/32.32  | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (35), (72), (81) are inconsistent
% 195.29/32.32  | | | | | | | | | | |            by sub-proof #1642.
% 195.29/32.32  | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | Case 2:
% 195.29/32.32  | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | |   (82)   ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.29/32.32  | | | | | | | | | | |         $i(all_57_8)
% 195.29/32.32  | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | ALPHA: (82) implies:
% 195.29/32.32  | | | | | | | | | | |   (83)   ~ (all_57_8 = e0)
% 195.29/32.32  | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | BETA: splitting (72) gives:
% 195.29/32.32  | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | Case 1:
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | |   (84)  all_54_15 = e1
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | REF_CLOSE: (6), (35), (84) are inconsistent by sub-proof
% 195.29/32.32  | | | | | | | | | | | |            #1660.
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | Case 2:
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | |   (85)  all_54_15 = e0
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | COMBINE_EQS: (35), (85) imply:
% 195.29/32.32  | | | | | | | | | | | |   (86)  all_14_2 = e0
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | SIMP: (86) implies:
% 195.29/32.32  | | | | | | | | | | | |   (87)  all_14_2 = e0
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | REDUCE: (9), (87) imply:
% 195.29/32.32  | | | | | | | | | | | |   (88)   ~ (all_52_3 = e0)
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | REDUCE: (40), (87) imply:
% 195.29/32.32  | | | | | | | | | | | |   (89)   ~ (all_52_7 = e0)
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | REDUCE: (6), (87) imply:
% 195.29/32.32  | | | | | | | | | | | |   (90)   ~ (e1 = e0)
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | REDUCE: (4), (87) imply:
% 195.29/32.32  | | | | | | | | | | | |   (91)  op(e0, e0) = e0
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | BETA: splitting (24) gives:
% 195.29/32.32  | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | Case 1:
% 195.29/32.32  | | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | |   (92)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.29/32.32  | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.29/32.32  | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.29/32.32  | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.29/32.32  | | | | | | | | | | | | |         | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.29/32.32  | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.29/32.32  | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.29/32.32  | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.29/32.32  | | | | | | | | | | | | |         | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.29/32.32  | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.29/32.32  | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.29/32.32  | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.29/32.32  | | | | | | | | | | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.29/32.32  | | | | | | | | | | | | |           &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.29/32.32  | | | | | | | | | | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.29/32.32  | | | | | | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.29/32.32  | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.29/32.32  | | | | | | | | | | | | |           all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.29/32.32  | | | | | | | | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.29/32.32  | | | | | | | | | | | | |           op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.29/32.32  | | | | | | | | | | | | |             e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.29/32.32  | | | | | | | | | | | | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.29/32.32  | | | | | | | | | | | | |             e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.29/32.32  | | | | | | | | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.29/32.32  | | | | | | | | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.29/32.32  | | | | | | | | | | | | |           $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.29/32.32  | | | | | | | | | | | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.29/32.32  | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.29/32.32  | | | | | | | | | | | | |             e2) = e1 & op(e1, e1) = all_57_14 &
% 195.29/32.32  | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.29/32.32  | | | | | | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.29/32.32  | | | | | | | | | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.29/32.32  | | | | | | | | | | | | |           = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.29/32.32  | | | | | | | | | | | | |           = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.29/32.32  | | | | | | | | | | | | |           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.29/32.32  | | | | | | | | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.29/32.32  | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.29/32.32  | | | | | | | | | | | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.29/32.32  | | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | | BETA: splitting (92) gives:
% 195.29/32.32  | | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | | Case 1:
% 195.29/32.32  | | | | | | | | | | | | | | 
% 195.29/32.32  | | | | | | | | | | | | | |   (93)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.29/32.32  | | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.29/32.32  | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.29/32.32  | | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.29/32.32  | | | | | | | | | | | | | |         | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.29/32.32  | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.29/32.32  | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.29/32.32  | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.29/32.32  | | | | | | | | | | | | | |         | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.29/32.32  | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.29/32.33  | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.29/32.33  | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.29/32.33  | | | | | | | | | | | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.29/32.33  | | | | | | | | | | | | | |           &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.29/32.33  | | | | | | | | | | | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.29/32.33  | | | | | | | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.29/32.33  | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_14))
% 195.29/32.33  | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 195.29/32.33  | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | Case 1:
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | |   (94)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.29/32.33  | | | | | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.29/32.33  | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.29/32.33  | | | | | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.29/32.33  | | | | | | | | | | | | | | |         | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.29/32.33  | | | | | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.29/32.33  | | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.29/32.33  | | | | | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (32), (35), (36), (72), (94)
% 195.29/32.33  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #523.
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | Case 2:
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | |   (95)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.29/32.33  | | | | | | | | | | | | | | |             e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.29/32.33  | | | | | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.29/32.33  | | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.29/32.33  | | | | | | | | | | | | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.29/32.33  | | | | | | | | | | | | | | |           &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.29/32.33  | | | | | | | | | | | | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.29/32.33  | | | | | | | | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.29/32.33  | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_14))
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | REF_CLOSE: (1), (8), (11), (46), (56), (95) are inconsistent
% 195.29/32.33  | | | | | | | | | | | | | | |            by sub-proof #1678.
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | End of split
% 195.29/32.33  | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | Case 2:
% 195.29/32.33  | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | |   (96)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.29/32.33  | | | | | | | | | | | | | |             e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.29/32.33  | | | | | | | | | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.29/32.33  | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.29/32.33  | | | | | | | | | | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.29/32.33  | | | | | | | | | | | | | |           &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.29/32.33  | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.29/32.33  | | | | | | | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.29/32.33  | | | | | | | | | | | | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.29/32.33  | | | | | | | | | | | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.29/32.33  | | | | | | | | | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.29/32.33  | | | | | | | | | | | | | |           = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.29/32.33  | | | | | | | | | | | | | |           all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.29/32.33  | | | | | | | | | | | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.29/32.33  | | | | | | | | | | | | | |             e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.29/32.33  | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.29/32.33  | | | | | | | | | | | | | |           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.29/32.33  | | | | | | | | | | | | | |         | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.29/32.33  | | | | | | | | | | | | | |             e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.29/32.33  | | | | | | | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.29/32.33  | | | | | | | | | | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.29/32.33  | | | | | | | | | | | | | |           $i(all_57_10))
% 195.29/32.33  | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 195.29/32.33  | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | Case 1:
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | |   (97)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.29/32.33  | | | | | | | | | | | | | | |             e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.29/32.33  | | | | | | | | | | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.29/32.33  | | | | | | | | | | | | | | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.29/32.33  | | | | | | | | | | | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.29/32.33  | | | | | | | | | | | | | | |           &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.29/32.33  | | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.29/32.33  | | | | | | | | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.29/32.33  | | | | | | | | | | | | | | |           $i(all_57_5) & $i(all_57_10))
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | Case 1:
% 195.29/32.33  | | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | |   (98)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.29/32.33  | | | | | | | | | | | | | | | |           e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.29/32.33  | | | | | | | | | | | | | | | |         all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.29/32.33  | | | | | | | | | | | | | | | |         all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.29/32.33  | | | | | | | | | | | | | | | |         $i(all_57_10)
% 195.29/32.33  | | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | | ALPHA: (98) implies:
% 195.29/32.33  | | | | | | | | | | | | | | | |   (99)  op(e3, e2) = e3
% 195.29/32.33  | | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (15), (45), (78), (99) are inconsistent
% 195.29/32.33  | | | | | | | | | | | | | | | |            by sub-proof #497.
% 195.29/32.33  | | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | Case 2:
% 195.29/32.33  | | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | |   (100)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.29/32.33  | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.29/32.33  | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.29/32.33  | | | | | | | | | | | | | | | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.29/32.33  | | | | | | | | | | | | | | | |          $i(all_57_10)
% 195.29/32.33  | | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | | ALPHA: (100) implies:
% 195.29/32.33  | | | | | | | | | | | | | | | |   (101)  op(e3, e2) = e3
% 195.29/32.33  | | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (15), (45), (78), (101) are
% 195.29/32.33  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #497.
% 195.29/32.33  | | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | End of split
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | Case 2:
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | |   (102)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.29/32.33  | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.29/32.33  | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 195.29/32.33  | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 195.29/32.33  | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 195.29/32.33  | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 195.29/32.33  | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.29/32.33  | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.29/32.33  | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.29/32.33  | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.29/32.33  | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.29/32.33  | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.29/32.33  | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (12), (57), (102) are inconsistent by
% 195.29/32.33  | | | | | | | | | | | | | | |            sub-proof #1318.
% 195.29/32.33  | | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | | End of split
% 195.29/32.33  | | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | | End of split
% 195.29/32.33  | | | | | | | | | | | | | 
% 195.29/32.33  | | | | | | | | | | | | Case 2:
% 195.29/32.33  | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | |   (103)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.34/32.33  | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.34/32.33  | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.34/32.33  | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.34/32.33  | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.34/32.33  | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.34/32.33  | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.34/32.33  | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.34/32.33  | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.34/32.33  | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.34/32.33  | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.34/32.33  | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.34/32.33  | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.34/32.33  | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.34/32.33  | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.34/32.33  | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.34/32.33  | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.34/32.33  | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.34/32.33  | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.34/32.33  | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.34/32.33  | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.34/32.33  | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.34/32.33  | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.34/32.33  | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.34/32.33  | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.34/32.33  | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.34/32.33  | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.34/32.33  | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.34/32.33  | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.34/32.33  | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.34/32.33  | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.34/32.33  | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.34/32.33  | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.34/32.33  | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.34/32.33  | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.34/32.33  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.34/32.33  | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.34/32.33  | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.34/32.33  | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.34/32.33  | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.34/32.33  | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.34/32.33  | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.34/32.33  | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.34/32.33  | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.34/32.33  | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.34/32.33  | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.34/32.33  | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.34/32.33  | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.34/32.33  | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.34/32.33  | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.34/32.33  | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.34/32.33  | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.34/32.33  | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.34/32.33  | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.34/32.33  | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | BETA: splitting (103) gives:
% 195.34/32.33  | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | Case 1:
% 195.34/32.33  | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | |   (104)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.34/32.33  | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.34/32.33  | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.34/32.33  | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.34/32.33  | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.34/32.33  | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.34/32.33  | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.34/32.33  | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.34/32.33  | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.34/32.33  | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.34/32.33  | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.34/32.33  | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.34/32.33  | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.34/32.33  | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.34/32.33  | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.34/32.33  | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.34/32.33  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.34/32.33  | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.34/32.33  | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.34/32.33  | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 195.34/32.33  | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | Case 1:
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | |   (105)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.34/32.33  | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.34/32.33  | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.34/32.33  | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.34/32.33  | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.34/32.33  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.34/32.33  | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.34/32.33  | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | REF_CLOSE: (8), (37), (78), (91), (105) are inconsistent by
% 195.34/32.33  | | | | | | | | | | | | | | |            sub-proof #521.
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | |   (106)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.34/32.33  | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.34/32.33  | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.34/32.33  | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.34/32.33  | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 195.34/32.33  | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.34/32.33  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.34/32.33  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.34/32.33  | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 195.34/32.33  | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.34/32.33  | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.34/32.33  | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.34/32.33  | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | REF_CLOSE: (8), (33), (37), (42), (45), (78), (91), (106) are
% 195.34/32.33  | | | | | | | | | | | | | | |            inconsistent by sub-proof #520.
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | |   (107)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.34/32.33  | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.34/32.33  | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.34/32.33  | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.34/32.33  | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.34/32.33  | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.34/32.33  | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.34/32.33  | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.34/32.33  | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.34/32.33  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.34/32.33  | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.34/32.33  | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.34/32.33  | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.34/32.33  | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.34/32.33  | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.34/32.33  | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.34/32.33  | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.34/32.33  | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.34/32.33  | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.34/32.33  | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.34/32.33  | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.34/32.33  | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.34/32.33  | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.34/32.33  | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.34/32.33  | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.34/32.33  | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.34/32.33  | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.34/32.33  | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.34/32.33  | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.34/32.33  | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.34/32.33  | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.34/32.33  | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.34/32.33  | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.34/32.33  | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 195.34/32.33  | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | Case 1:
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | |   (108)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.34/32.33  | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.34/32.33  | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.34/32.33  | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.34/32.33  | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.34/32.33  | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.34/32.33  | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.34/32.33  | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (37), (108) are inconsistent by
% 195.34/32.33  | | | | | | | | | | | | | | |            sub-proof #1936.
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | |   (109)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.34/32.33  | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.34/32.33  | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.34/32.33  | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.34/32.33  | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.34/32.33  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.34/32.33  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.34/32.33  | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.34/32.33  | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.34/32.33  | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.34/32.33  | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.34/32.33  | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.34/32.33  | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.34/32.33  | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.34/32.33  | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.34/32.33  | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.34/32.33  | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.34/32.33  | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.34/32.33  | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.34/32.33  | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.34/32.33  | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.34/32.33  | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.34/32.33  | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.34/32.33  | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | Case 1:
% 195.34/32.33  | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | |   (110)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.34/32.33  | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.34/32.33  | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.34/32.33  | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.34/32.33  | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | ALPHA: (110) implies:
% 195.34/32.33  | | | | | | | | | | | | | | | |   (111)   ~ (all_57_13 = e1)
% 195.34/32.33  | | | | | | | | | | | | | | | |   (112)  op(e1, e0) = all_57_13
% 195.34/32.33  | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (54), (111), (112) are inconsistent by
% 195.34/32.33  | | | | | | | | | | | | | | | |            sub-proof #1437.
% 195.34/32.33  | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | |   (113)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.34/32.33  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.34/32.33  | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.34/32.33  | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.34/32.33  | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.34/32.33  | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.34/32.33  | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.34/32.33  | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.34/32.33  | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.34/32.33  | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.34/32.33  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.34/32.33  | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.34/32.33  | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.34/32.33  | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.34/32.33  | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.34/32.33  | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.34/32.33  | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.34/32.33  | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.34/32.33  | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.34/32.33  | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.34/32.33  | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.34/32.33  | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.34/32.33  | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.34/32.33  | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.34/32.33  | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 195.34/32.33  | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | Case 1:
% 195.34/32.33  | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | |   (114)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.34/32.33  | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.34/32.33  | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | ALPHA: (114) implies:
% 195.34/32.33  | | | | | | | | | | | | | | | | |   (115)  op(e2, e2) = e0
% 195.34/32.33  | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (37), (115) are inconsistent by
% 195.34/32.33  | | | | | | | | | | | | | | | | |            sub-proof #1909.
% 195.34/32.33  | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | |   (116)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.34/32.33  | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.34/32.33  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.34/32.33  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.34/32.33  | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.34/32.33  | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.34/32.33  | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.34/32.33  | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.34/32.33  | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.34/32.33  | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.34/32.33  | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.34/32.33  | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.34/32.33  | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.34/32.33  | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.34/32.33  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.34/32.33  | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.34/32.33  | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | ALPHA: (116) implies:
% 195.34/32.33  | | | | | | | | | | | | | | | | |   (117)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.34/32.33  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.34/32.33  | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.34/32.33  | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.34/32.33  | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.34/32.33  | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.34/32.33  | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.34/32.33  | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.34/32.33  | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.34/32.33  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.34/32.33  | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.34/32.33  | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.34/32.33  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.34/32.33  | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.34/32.33  | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.34/32.33  | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.34/32.33  | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 195.34/32.33  | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | Case 1:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | |   (118)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.34/32.33  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.34/32.33  | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.34/32.33  | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (16), (46), (47), (88), (89), (118) are
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #754.
% 195.34/32.33  | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | |   (119)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.34/32.33  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.34/32.33  | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.34/32.33  | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.34/32.33  | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | Case 1:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |   (120)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |   (121)  op(e0, e2) = e0
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (47), (89), (121) are inconsistent by
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |            sub-proof #818.
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |   (122)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 195.34/32.33  | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |   (123)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |          $i(all_57_6)
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | ALPHA: (123) implies:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |   (124)   ~ (all_57_6 = e3)
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |   (125)  op(e3, e1) = all_57_6
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (78), (124), (125) are inconsistent by
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |            sub-proof #675.
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |   (126)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |          $i(all_57_7)
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | ALPHA: (126) implies:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |   (127)  all_57_8 = e0
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (127) imply:
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | |   (128)  $false
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | CLOSE: (128) is inconsistent.
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | |   (129)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.34/32.33  | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.34/32.33  | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.34/32.33  | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.34/32.33  | | | | | | | | | |                = e2) & op(e2, e3) = all_57_0 &
% 195.34/32.33  | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 195.34/32.33  | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.34/32.33  | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | ALPHA: (129) implies:
% 195.34/32.33  | | | | | | | | | |   (130)  op(e1, e3) = e1
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | REF_CLOSE: (1), (8), (56), (130) are inconsistent by
% 195.34/32.33  | | | | | | | | | |            sub-proof #1974.
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | 
% 195.34/32.33  | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | 
% 195.34/32.33  | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | 
% 195.34/32.33  | | | | | | | |   (131)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.34/32.33  | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 195.34/32.33  | | | | | | | |            op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 195.34/32.33  | | | | | | | |                = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 195.34/32.33  | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.34/32.33  | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 195.34/32.33  | | | | | | | |                  = e1) & op(e1, e0) = all_57_13 &
% 195.34/32.33  | | | | | | | |                $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0
% 195.34/32.33  | | | | | | | |            & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.34/32.33  | | | | | | | |              e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.34/32.33  | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.34/32.33  | | | | | | | |              ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.34/32.33  | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) =
% 195.34/32.33  | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 195.34/32.33  | | | | | | | |                & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 =
% 195.34/32.33  | | | | | | | |            e2 & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) =
% 195.34/32.33  | | | | | | | |            e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.34/32.33  | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.34/32.33  | | | | | | | |              ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.34/32.33  | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) =
% 195.34/32.33  | | | | | | | |                e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 195.34/32.33  | | | | | | | |                & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 =
% 195.34/32.33  | | | | | | | |            e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 195.34/32.33  | | | | | | | |              e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.34/32.33  | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.34/32.33  | | | | | | | |              ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.34/32.33  | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 195.34/32.33  | | | | | | | |                e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 195.34/32.33  | | | | | | | |                & $i(all_57_5))))
% 195.34/32.33  | | | | | | | | 
% 195.34/32.33  | | | | | | | | BETA: splitting (131) gives:
% 195.34/32.33  | | | | | | | | 
% 195.34/32.33  | | | | | | | | Case 1:
% 195.34/32.33  | | | | | | | | | 
% 195.34/32.33  | | | | | | | | |   (132)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.34/32.33  | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3
% 195.34/32.33  | | | | | | | | |            & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.34/32.33  | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.34/32.33  | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.34/32.33  | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 195.34/32.33  | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.34/32.33  | | | | | | | | |                all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 195.34/32.33  | | | | | | | | |            all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 195.34/32.33  | | | | | | | | |            all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.34/32.33  | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3
% 195.34/32.33  | | | | | | | | |                & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.34/32.33  | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.34/32.33  | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 195.34/32.33  | | | | | | | | |                  = e1) & op(e1, e3) = all_57_1 &
% 195.34/32.33  | | | | | | | | |                $i(all_57_1))))
% 195.34/32.33  | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | BETA: splitting (132) gives:
% 195.34/32.33  | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | Case 1:
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | |   (133)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.34/32.33  | | | | | | | | | |          op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3
% 195.34/32.33  | | | | | | | | | |          & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.34/32.33  | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.34/32.33  | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.34/32.33  | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 195.34/32.33  | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.34/32.33  | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | ALPHA: (133) implies:
% 195.34/32.33  | | | | | | | | | |   (134)  op(e3, e3) = e0
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | REF_CLOSE: (8), (12), (37), (134) are inconsistent by
% 195.34/32.33  | | | | | | | | | |            sub-proof #1937.
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | |   (135)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.34/32.33  | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 195.34/32.33  | | | | | | | | | |            e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.34/32.33  | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.34/32.33  | | | | | | | | | |                = e2) & op(e2, e3) = all_57_0 &
% 195.34/32.33  | | | | | | | | | |              $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 195.34/32.33  | | | | | | | | | |              = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.34/32.33  | | | | | | | | | |              all_57_1 & $i(all_57_1)))
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | ALPHA: (135) implies:
% 195.34/32.33  | | | | | | | | | |   (136)  op(e0, e0) = e3
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | | REF_CLOSE: (4), (6), (8), (32), (35), (72), (136) are
% 195.34/32.33  | | | | | | | | | |            inconsistent by sub-proof #1647.
% 195.34/32.33  | | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | | 
% 195.34/32.33  | | | | | | | | Case 2:
% 195.34/32.33  | | | | | | | | | 
% 195.34/32.33  | | | | | | | | |   (137)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.34/32.33  | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2
% 195.34/32.33  | | | | | | | | |            & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.34/32.33  | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 195.34/32.33  | | | | | | | | |                  = e3) & op(e3, e1) = all_57_6 &
% 195.34/32.33  | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 195.34/32.33  | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.34/32.33  | | | | | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 &
% 195.34/32.33  | | | | | | | | |            all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 195.34/32.33  | | | | | | | | |            all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 &
% 195.34/32.33  | | | | | | | | |            op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2
% 195.34/32.33  | | | | | | | | |                & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.34/32.33  | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.34/32.33  | | | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.34/32.33  | | | | | | | | |                  = e0) & op(e0, e2) = all_57_5 &
% 195.34/32.33  | | | | | | | | |                $i(all_57_5))))
% 195.34/32.33  | | | | | | | | | 
% 195.34/32.33  | | | | | | | | | REF_CLOSE: (3), (8), (27), (43), (57), (137) are inconsistent
% 195.34/32.33  | | | | | | | | |            by sub-proof #1669.
% 195.34/32.33  | | | | | | | | | 
% 195.34/32.33  | | | | | | | | End of split
% 195.34/32.33  | | | | | | | | 
% 195.34/32.33  | | | | | | | End of split
% 195.34/32.33  | | | | | | | 
% 195.34/32.33  | | | | | | Case 2:
% 195.34/32.33  | | | | | | | 
% 195.34/32.34  | | | | | | |   (138)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 195.34/32.34  | | | | | | |              e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 195.34/32.34  | | | | | | |              e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 195.34/32.34  | | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 195.34/32.34  | | | | | | |                = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.34/32.34  | | | | | | |                op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.34/32.34  | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 =
% 195.34/32.34  | | | | | | |            e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.34/32.34  | | | | | | |            all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.34/32.34  | | | | | | |              e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3,
% 195.34/32.34  | | | | | | |                  e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.34/32.34  | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 195.34/32.34  | | | | | | |                op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.34/32.34  | | | | | | |                = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 195.34/32.34  | | | | | | |            all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.34/32.34  | | | | | | |            op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 195.34/32.34  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 195.34/32.34  | | | | | | |                  e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 195.34/32.34  | | | | | | |                all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.34/32.34  | | | | | | |                op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.34/32.34  | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) | (all_57_8 =
% 195.34/32.34  | | | | | | |            e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.34/32.34  | | | | | | |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 195.34/32.34  | | | | | | |              e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3,
% 195.34/32.34  | | | | | | |                  e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.34/32.34  | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 195.34/32.34  | | | | | | |                op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.34/32.34  | | | | | | |                = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 &
% 195.34/32.34  | | | | | | |            op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.34/32.34  | | | | | | |              ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.34/32.34  | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) =
% 195.34/32.34  | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.34/32.34  | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.34/32.34  | | | | | | |                e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.34/32.34  | | | | | | |                $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2
% 195.34/32.34  | | | | | | |            & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 195.34/32.34  | | | | | | |                  e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.34/32.34  | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.34/32.34  | | | | | | |                  e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.34/32.34  | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 195.34/32.34  | | | | | | |                  e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.34/32.34  | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 195.34/32.34  | | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.34/32.34  | | | | | | |                = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 195.34/32.34  | | | | | | |                op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.34/32.34  | | | | | | |                = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.34/32.34  | | | | | | |                op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 195.34/32.34  | | | | | | |                = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 195.34/32.34  | | | | | | |            op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.34/32.34  | | | | | | |              ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.34/32.34  | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) =
% 195.34/32.34  | | | | | | |                e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11
% 195.34/32.34  | | | | | | |                & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 195.34/32.34  | | | | | | |                e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.34/32.34  | | | | | | |                & $i(all_57_13))))
% 195.34/32.34  | | | | | | | 
% 195.34/32.34  | | | | | | | BETA: splitting (138) gives:
% 195.34/32.34  | | | | | | | 
% 195.34/32.34  | | | | | | | Case 1:
% 195.34/32.34  | | | | | | | | 
% 195.34/32.34  | | | | | | | |   (139)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.34/32.34  | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 195.34/32.34  | | | | | | | |            op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10
% 195.34/32.34  | | | | | | | |                = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.34/32.34  | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.34/32.34  | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 195.34/32.34  | | | | | | | |                  = e1) & op(e1, e0) = all_57_13 &
% 195.34/32.34  | | | | | | | |                $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 =
% 195.34/32.34  | | | | | | | |            e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 195.34/32.34  | | | | | | | |              e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.34/32.34  | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.34/32.34  | | | | | | | |              ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.34/32.34  | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) =
% 195.34/32.34  | | | | | | | |                e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 195.34/32.34  | | | | | | | |                & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 =
% 195.34/32.34  | | | | | | | |            e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 195.34/32.34  | | | | | | | |            e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.34/32.34  | | | | | | | |            $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.34/32.34  | | | | | | | |              ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.34/32.34  | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) =
% 195.34/32.34  | | | | | | | |                e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.34/32.34  | | | | | | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 195.34/32.34  | | | | | | | |            all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.34/32.34  | | | | | | | |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 195.34/32.34  | | | | | | | |            op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 &
% 195.34/32.34  | | | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 195.34/32.34  | | | | | | | |                  e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 195.34/32.34  | | | | | | | |                e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.34/32.34  | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.34/32.34  | | | | | | | | 
% 195.34/32.34  | | | | | | | | BETA: splitting (139) gives:
% 195.34/32.34  | | | | | | | | 
% 195.34/32.34  | | | | | | | | Case 1:
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | |   (140)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.34/32.34  | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2
% 195.34/32.34  | | | | | | | | |            & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.34/32.34  | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.34/32.34  | | | | | | | | |                  = e3) & op(e3, e0) = all_57_9 &
% 195.34/32.34  | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.34/32.34  | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.34/32.34  | | | | | | | | |                all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 195.34/32.34  | | | | | | | | |            all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.34/32.34  | | | | | | | | |            all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 195.34/32.34  | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_12) & ((all_57_10 = e2
% 195.34/32.34  | | | | | | | | |                & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.34/32.34  | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.34/32.34  | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.34/32.34  | | | | | | | | |                  = e1) & op(e1, e2) = all_57_4 &
% 195.34/32.34  | | | | | | | | |                $i(all_57_4))))
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | BETA: splitting (140) gives:
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | Case 1:
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | |   (141)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.34/32.34  | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2
% 195.34/32.34  | | | | | | | | | |          & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.34/32.34  | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.34/32.34  | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 &
% 195.34/32.34  | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.34/32.34  | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.34/32.34  | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | | ALPHA: (141) implies:
% 195.34/32.34  | | | | | | | | | |   (142)  op(e2, e2) = e0
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | | REF_CLOSE: (8), (11), (37), (142) are inconsistent by
% 195.34/32.34  | | | | | | | | | |            sub-proof #1909.
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | Case 2:
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | |   (143)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.34/32.34  | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 195.34/32.34  | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.34/32.34  | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 195.34/32.34  | | | | | | | | | |                = e3) & op(e3, e2) = all_57_3 &
% 195.34/32.34  | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 195.34/32.34  | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.34/32.34  | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | | ALPHA: (143) implies:
% 195.34/32.34  | | | | | | | | | |   (144)  op(e0, e0) = e2
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | | REF_CLOSE: (4), (6), (8), (35), (62), (72), (144) are
% 195.34/32.34  | | | | | | | | | |            inconsistent by sub-proof #1645.
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | End of split
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | Case 2:
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | |   (145)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.34/32.34  | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1
% 195.34/32.34  | | | | | | | | |            & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.34/32.34  | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.34/32.34  | | | | | | | | |                  = e3) & op(e3, e0) = all_57_9 &
% 195.34/32.34  | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 195.34/32.34  | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.34/32.34  | | | | | | | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 195.34/32.34  | | | | | | | | |            all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.34/32.34  | | | | | | | | |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 195.34/32.34  | | | | | | | | |            op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1
% 195.34/32.34  | | | | | | | | |                & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.34/32.34  | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.34/32.34  | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.34/32.34  | | | | | | | | |                  = e2) & op(e2, e1) = all_57_7 &
% 195.34/32.34  | | | | | | | | |                $i(all_57_7))))
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | BETA: splitting (145) gives:
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | Case 1:
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | |   (146)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.34/32.34  | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1
% 195.34/32.34  | | | | | | | | | |          & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.34/32.34  | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.34/32.34  | | | | | | | | | |                = e3) & op(e3, e0) = all_57_9 &
% 195.34/32.34  | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 195.34/32.34  | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.34/32.34  | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | | ALPHA: (146) implies:
% 195.34/32.34  | | | | | | | | | |   (147)  op(e1, e1) = e0
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | | REF_CLOSE: (8), (36), (48), (147) are inconsistent by
% 195.34/32.34  | | | | | | | | | |            sub-proof #1821.
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | Case 2:
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | |   (148)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.34/32.34  | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 195.34/32.34  | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.34/32.34  | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 195.34/32.34  | | | | | | | | | |                = e3) & op(e3, e1) = all_57_6 &
% 195.34/32.34  | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 195.34/32.34  | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.34/32.34  | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | | ALPHA: (148) implies:
% 195.34/32.34  | | | | | | | | | |   (149)  op(e0, e0) = e1
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | | REF_CLOSE: (4), (6), (8), (35), (72), (149) are inconsistent
% 195.34/32.34  | | | | | | | | | |            by sub-proof #1642.
% 195.34/32.34  | | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | End of split
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | End of split
% 195.34/32.34  | | | | | | | | 
% 195.34/32.34  | | | | | | | Case 2:
% 195.34/32.34  | | | | | | | | 
% 195.34/32.34  | | | | | | | |   (150)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 195.34/32.34  | | | | | | | |                op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 195.34/32.34  | | | | | | | |                  e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 195.34/32.34  | | | | | | | |                e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.34/32.34  | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.34/32.34  | | | | | | | |            ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 195.34/32.34  | | | | | | | |                  e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.34/32.34  | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 &
% 195.34/32.34  | | | | | | | |                op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 195.34/32.34  | | | | | | | |                  e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 195.34/32.34  | | | | | | | |                e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.34/32.34  | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.34/32.34  | | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 195.34/32.34  | | | | | | | |                  e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.34/32.34  | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 195.34/32.34  | | | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 195.34/32.34  | | | | | | | |                  e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 195.34/32.34  | | | | | | | |                e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.34/32.34  | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.34/32.34  | | | | | | | |            ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 195.34/32.34  | | | | | | | |                  e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.34/32.34  | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 &
% 195.34/32.34  | | | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 195.34/32.34  | | | | | | | |                  e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 195.34/32.34  | | | | | | | |                e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 195.34/32.34  | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.34/32.34  | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 195.34/32.34  | | | | | | | |                  = e1) & op(e1, e0) = all_57_13 &
% 195.34/32.34  | | | | | | | |                $i(all_57_13))))
% 195.34/32.34  | | | | | | | | 
% 195.34/32.34  | | | | | | | | BETA: splitting (150) gives:
% 195.34/32.34  | | | | | | | | 
% 195.34/32.34  | | | | | | | | Case 1:
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | |   (151)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3
% 195.34/32.34  | | | | | | | | |                & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.34/32.34  | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.34/32.34  | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 195.34/32.34  | | | | | | | | |                  = e1) & op(e1, e3) = all_57_1 &
% 195.34/32.34  | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.34/32.34  | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.34/32.34  | | | | | | | | |                all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 195.34/32.34  | | | | | | | | |            op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 195.34/32.34  | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.34/32.34  | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 195.34/32.34  | | | | | | | | |                op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 195.34/32.34  | | | | | | | | |                  e2) = all_57_4 & $i(all_57_4))) & ((all_57_15
% 195.34/32.34  | | | | | | | | |                = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.34/32.34  | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | REF_CLOSE: (8), (11), (12), (46), (60), (151) are inconsistent
% 195.34/32.34  | | | | | | | | |            by sub-proof #1134.
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | Case 2:
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | |   (152)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1
% 195.34/32.34  | | | | | | | | |                & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.34/32.34  | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.34/32.34  | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.34/32.34  | | | | | | | | |                  = e2) & op(e2, e1) = all_57_7 &
% 195.34/32.34  | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.34/32.34  | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.34/32.34  | | | | | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 195.34/32.34  | | | | | | | | |            op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 195.34/32.34  | | | | | | | | |                e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 195.34/32.34  | | | | | | | | |                all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.34/32.34  | | | | | | | | |                op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 195.34/32.34  | | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.34/32.34  | | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 195.34/32.34  | | | | | | | | |                (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.34/32.34  | | | | | | | | |                $i(all_57_13))))
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | | REF_CLOSE: (8), (36), (48), (54), (60), (152) are inconsistent
% 195.34/32.34  | | | | | | | | |            by sub-proof #495.
% 195.34/32.34  | | | | | | | | | 
% 195.34/32.34  | | | | | | | | End of split
% 195.34/32.34  | | | | | | | | 
% 195.34/32.34  | | | | | | | End of split
% 195.34/32.34  | | | | | | | 
% 195.34/32.34  | | | | | | End of split
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | End of split
% 195.34/32.34  | | | | | 
% 195.34/32.34  | | | | End of split
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | Case 2:
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | |   (153)  all_28_2 = e2
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | | COMBINE_EQS: (44), (153) imply:
% 195.34/32.34  | | | |   (154)  all_14_2 = e2
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | | SIMP: (154) implies:
% 195.34/32.34  | | | |   (155)  all_14_2 = e2
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | | REDUCE: (9), (155) imply:
% 195.34/32.34  | | | |   (156)   ~ (all_52_3 = e2)
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | | REDUCE: (21), (155) imply:
% 195.34/32.34  | | | |   (157)   ~ (all_52_12 = e2)
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | | REDUCE: (32), (155) imply:
% 195.34/32.34  | | | |   (158)   ~ (e3 = e2)
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | | REDUCE: (4), (155) imply:
% 195.34/32.34  | | | |   (159)  op(e0, e0) = e2
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | | BETA: splitting (25) gives:
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | | Case 1:
% 195.34/32.34  | | | | | 
% 195.34/32.34  | | | | |   (160)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3,
% 195.34/32.34  | | | | |              e2) = e2)
% 195.34/32.34  | | | | | 
% 195.34/32.34  | | | | | BETA: splitting (160) gives:
% 195.34/32.34  | | | | | 
% 195.34/32.34  | | | | | Case 1:
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | |   (161)  all_56_0 = e2 & op(e3, e3) = e2
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | | ALPHA: (161) implies:
% 195.34/32.34  | | | | | |   (162)  op(e3, e3) = e2
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | | REF_CLOSE: (8), (12), (60), (162) are inconsistent by sub-proof
% 195.34/32.34  | | | | | |            #1934.
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | Case 2:
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | |   (163)  all_56_1 = e2 & op(e3, e2) = e2
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | | ALPHA: (163) implies:
% 195.34/32.34  | | | | | |   (164)  op(e3, e2) = e2
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (10), (11), (12), (13),
% 195.34/32.34  | | | | | |            (16), (18), (24), (26), (30), (36), (37), (38), (39),
% 195.34/32.34  | | | | | |            (46), (47), (48), (49), (50), (54), (56), (57), (60),
% 195.34/32.34  | | | | | |            (156), (159), (164) are inconsistent by sub-proof #491.
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | End of split
% 195.34/32.34  | | | | | 
% 195.34/32.34  | | | | Case 2:
% 195.34/32.34  | | | | | 
% 195.34/32.34  | | | | |   (165)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3,
% 195.34/32.34  | | | | |              e0) = e2)
% 195.34/32.34  | | | | | 
% 195.34/32.34  | | | | | BETA: splitting (165) gives:
% 195.34/32.34  | | | | | 
% 195.34/32.34  | | | | | Case 1:
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | |   (166)  all_56_4 = e2 & op(e3, e1) = e2
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | | REF_CLOSE: (8), (34), (45), (166) are inconsistent by sub-proof
% 195.34/32.34  | | | | | |            #810.
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | Case 2:
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | |   (167)  all_56_9 = e2 & op(e3, e0) = e2
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | | REF_CLOSE: (8), (42), (157), (167) are inconsistent by sub-proof
% 195.34/32.34  | | | | | |            #737.
% 195.34/32.34  | | | | | | 
% 195.34/32.34  | | | | | End of split
% 195.34/32.34  | | | | | 
% 195.34/32.34  | | | | End of split
% 195.34/32.34  | | | | 
% 195.34/32.34  | | | End of split
% 195.34/32.34  | | | 
% 195.34/32.34  | | Case 2:
% 195.34/32.34  | | | 
% 195.34/32.34  | | |   (168)  all_56_15 = e1 & op(e0, e0) = e1
% 195.34/32.34  | | | 
% 195.34/32.34  | | | ALPHA: (168) implies:
% 195.34/32.34  | | |   (169)  op(e0, e0) = e1
% 195.34/32.34  | | | 
% 195.34/32.34  | | | REF_CLOSE: (4), (6), (8), (169) are inconsistent by sub-proof #1967.
% 195.34/32.34  | | | 
% 195.34/32.34  | | End of split
% 195.34/32.34  | | 
% 195.34/32.34  | End of split
% 195.34/32.34  | 
% 195.34/32.34  End of proof
% 195.34/32.34  
% 195.34/32.34  Sub-proof #491 shows that the following formulas are inconsistent:
% 195.34/32.34  ----------------------------------------------------------------
% 195.34/32.34    (1)  op(e1, e3) = all_52_2
% 195.36/32.34    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.36/32.34           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.36/32.34           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.36/32.34                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.36/32.34               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.36/32.34               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.36/32.34           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.36/32.34           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.36/32.34               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.36/32.34           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.36/32.34               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.36/32.34           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.36/32.34           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.36/32.34               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.34               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.36/32.34               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.34         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.36/32.34           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.36/32.34           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.36/32.34               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.36/32.34             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.34         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.36/32.34           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.36/32.34           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.36/32.34                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.36/32.34               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.36/32.34               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.36/32.34           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.36/32.34           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.36/32.34             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.34           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.36/32.34               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.36/32.34           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.36/32.34           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.36/32.34               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.36/32.34               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.36/32.34               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.34         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.36/32.34           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.36/32.34           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.36/32.34               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.36/32.34             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.34         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.36/32.34           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.36/32.34           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.36/32.34                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.36/32.34               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.36/32.34               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.36/32.34           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.36/32.34             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.34               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.34           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.36/32.34               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.36/32.34           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.36/32.34           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.36/32.34               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.34               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.34               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.36/32.34         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.36/32.34           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.36/32.34           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.36/32.34               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.36/32.34             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.36/32.34         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.36/32.34             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.34           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.36/32.34               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.36/32.34             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.34         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.36/32.34             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.34           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.36/32.34               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.36/32.34             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.34         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.36/32.34             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.34           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.36/32.34               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.36/32.34             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.34         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.36/32.34             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.34           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.36/32.34               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.36/32.34             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.36/32.34    (3)  op(e1, e2) = all_52_6
% 195.36/32.34    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.36/32.34         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.36/32.34    (5)   ~ (all_52_3 = e2)
% 195.36/32.34    (6)   ~ (e3 = e2)
% 195.36/32.34    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.34           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.34    (8)  op(e3, e2) = all_52_4
% 195.36/32.34    (9)  op(e2, e2) = e1
% 195.36/32.34    (10)  op(e3, e3) = e1
% 195.36/32.34    (11)   ~ (all_52_7 = all_52_11)
% 195.36/32.34    (12)  op(e0, e3) = all_52_3
% 195.36/32.34    (13)  op(e2, e0) = all_52_13
% 195.36/32.34    (14)  op(e3, e2) = e2
% 195.36/32.34    (15)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.36/32.34              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.36/32.34            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.36/32.34            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.36/32.34            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.36/32.34            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.36/32.34            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.36/32.34            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.36/32.34            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.36/32.34            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.36/32.34            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.36/32.34            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.36/32.34            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.36/32.34            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.36/32.34            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.36/32.34            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.36/32.34            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.36/32.34            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.36/32.34            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.36/32.34            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.36/32.34            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.36/32.34            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.36/32.34            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.36/32.34            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.36/32.34            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.36/32.34            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.36/32.34            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.36/32.34            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.36/32.34            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.36/32.34            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.36/32.34            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.36/32.34            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.36/32.34            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.36/32.34            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.36/32.34            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.36/32.34            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.36/32.34            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.36/32.34            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.36/32.34            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.36/32.34            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.36/32.34            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.36/32.34            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.36/32.34            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.36/32.34            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.36/32.34            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.36/32.34            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.36/32.34            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.36/32.34            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.36/32.34              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.36/32.34            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.36/32.34            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.36/32.34              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.36/32.34            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.36/32.34            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.36/32.34                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.36/32.34                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.36/32.34                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.36/32.34                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.36/32.34                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.36/32.34                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.36/32.34                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.36/32.34              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.36/32.34                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.36/32.34                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.36/32.34                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.36/32.34                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.36/32.34                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.36/32.34                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.36/32.34                $i(all_57_7))))
% 195.36/32.34    (16)   ~ (all_52_2 = e2)
% 195.36/32.34    (17)  op(e0, e1) = all_52_11
% 195.36/32.34    (18)  op(e1, e1) = e2
% 195.36/32.34    (19)   ~ (e1 = e0)
% 195.36/32.34    (20)   ~ (all_52_1 = all_52_13)
% 195.36/32.34    (21)   ~ (all_52_4 = e1)
% 195.36/32.34    (22)   ~ (e2 = e1)
% 195.36/32.34    (23)  op(e1, e0) = e1
% 195.36/32.34    (24)   ~ (all_52_2 = e1)
% 195.36/32.34    (25)  op(e0, e0) = e2
% 195.36/32.34    (26)   ~ (e3 = e1)
% 195.36/32.34    (27)   ~ (all_52_6 = e1)
% 195.36/32.34    (28)  op(e0, e2) = all_52_7
% 195.36/32.34    (29)   ~ (e2 = e0)
% 195.36/32.34    (30)  op(e2, e3) = all_52_1
% 195.36/32.34    (31)   ~ (all_52_3 = all_52_11)
% 195.36/32.34  
% 195.36/32.34  Begin of proof
% 195.36/32.34  | 
% 195.36/32.34  | BETA: splitting (4) gives:
% 195.36/32.34  | 
% 195.36/32.34  | Case 1:
% 195.36/32.34  | | 
% 195.36/32.35  | |   (32)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 195.36/32.35  | |           e2)
% 195.36/32.35  | | 
% 195.36/32.35  | | BETA: splitting (32) gives:
% 195.36/32.35  | | 
% 195.36/32.35  | | Case 1:
% 195.36/32.35  | | | 
% 195.36/32.35  | | |   (33)  all_56_0 = e2 & op(e3, e3) = e2
% 195.36/32.35  | | | 
% 195.36/32.35  | | | ALPHA: (33) implies:
% 195.36/32.35  | | |   (34)  op(e3, e3) = e2
% 195.36/32.35  | | | 
% 195.36/32.35  | | | REF_CLOSE: (7), (10), (22), (34) are inconsistent by sub-proof #1934.
% 195.36/32.35  | | | 
% 195.36/32.35  | | Case 2:
% 195.36/32.35  | | | 
% 195.36/32.35  | | |   (35)  all_56_2 = e2 & op(e2, e3) = e2
% 195.36/32.35  | | | 
% 195.36/32.35  | | | ALPHA: (35) implies:
% 195.36/32.35  | | |   (36)  op(e2, e3) = e2
% 195.36/32.35  | | | 
% 195.36/32.35  | | | GROUND_INST: instantiating (7) with all_52_1, e2, e3, e2, simplifying with
% 195.36/32.35  | | |              (30), (36) gives:
% 195.36/32.35  | | |   (37)  all_52_1 = e2
% 195.36/32.35  | | | 
% 195.36/32.35  | | | GROUND_INST: instantiating (7) with all_52_4, e2, e2, e3, simplifying with
% 195.36/32.35  | | |              (8), (14) gives:
% 195.36/32.35  | | |   (38)  all_52_4 = e2
% 195.36/32.35  | | | 
% 195.36/32.35  | | | REDUCE: (20), (37) imply:
% 195.36/32.35  | | |   (39)   ~ (all_52_13 = e2)
% 195.36/32.35  | | | 
% 195.36/32.35  | | | SIMP: (39) implies:
% 195.36/32.35  | | |   (40)   ~ (all_52_13 = e2)
% 195.36/32.35  | | | 
% 195.36/32.35  | | | BETA: splitting (15) gives:
% 195.36/32.35  | | | 
% 195.36/32.35  | | | Case 1:
% 195.36/32.35  | | | | 
% 195.36/32.35  | | | |   (41)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.36/32.35  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.36/32.35  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.36/32.35  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.36/32.35  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.36/32.35  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.36/32.35  | | | |           e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.36/32.35  | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 195.36/32.35  | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.36/32.35  | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.36/32.35  | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 195.36/32.35  | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.36/32.35  | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.36/32.35  | | | |           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.36/32.35  | | | |           (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 195.36/32.35  | | | |           & op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.36/32.35  | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 =
% 195.36/32.35  | | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.36/32.35  | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 195.36/32.35  | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.36/32.35  | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.36/32.35  | | | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 195.36/32.35  | | | |           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.36/32.35  | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.36/32.35  | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.36/32.35  | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.36/32.35  | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.36/32.35  | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 195.36/32.35  | | | |           & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.36/32.35  | | | |           $i(all_57_7) & $i(all_57_10))
% 195.36/32.35  | | | | 
% 195.36/32.35  | | | | BETA: splitting (41) gives:
% 195.36/32.35  | | | | 
% 195.36/32.35  | | | | Case 1:
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | |   (42)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.36/32.35  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 195.36/32.35  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.36/32.35  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.36/32.35  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.36/32.35  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 195.36/32.35  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.36/32.35  | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 195.36/32.35  | | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.36/32.35  | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.36/32.35  | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 195.36/32.35  | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 195.36/32.35  | | | | |           & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.36/32.35  | | | | |           $i(all_57_14))
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | | BETA: splitting (42) gives:
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | | Case 1:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | |   (43)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.36/32.35  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.36/32.35  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.36/32.35  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 195.36/32.35  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 195.36/32.35  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.36/32.35  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | REF_CLOSE: (6), (7), (18), (25), (43) are inconsistent by sub-proof
% 195.36/32.35  | | | | | |            #536.
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | Case 2:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | |   (44)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.36/32.35  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 195.36/32.35  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 195.36/32.35  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.36/32.35  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.36/32.35  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 195.36/32.35  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | REF_CLOSE: (1), (7), (9), (24), (26), (44) are inconsistent by
% 195.36/32.35  | | | | | |            sub-proof #1678.
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | End of split
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | Case 2:
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | |   (45)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.36/32.35  | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3
% 195.36/32.35  | | | | |           & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.36/32.35  | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.36/32.35  | | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.36/32.35  | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 195.36/32.35  | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1
% 195.36/32.35  | | | | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2)
% 195.36/32.35  | | | | |           & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 195.36/32.35  | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.36/32.35  | | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.36/32.35  | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.36/32.35  | | | | |           & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.36/32.35  | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.36/32.35  | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.36/32.35  | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.36/32.35  | | | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | | BETA: splitting (45) gives:
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | | Case 1:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | |   (46)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.36/32.35  | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 195.36/32.35  | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.36/32.35  | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15
% 195.36/32.35  | | | | | |           = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3,
% 195.36/32.35  | | | | | |             e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.36/32.35  | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | REF_CLOSE: (6), (7), (14), (46) are inconsistent by sub-proof #1141.
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | Case 2:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | |   (47)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.36/32.35  | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 195.36/32.35  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 195.36/32.35  | | | | | |           & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 195.36/32.35  | | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.36/32.35  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 195.36/32.35  | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 195.36/32.35  | | | | | |           e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 195.36/32.35  | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 195.36/32.35  | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.36/32.35  | | | | | |           $i(all_57_10))
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | REF_CLOSE: (3), (7), (10), (27), (47) are inconsistent by sub-proof
% 195.36/32.35  | | | | | |            #1318.
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | End of split
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | End of split
% 195.36/32.35  | | | | 
% 195.36/32.35  | | | Case 2:
% 195.36/32.35  | | | | 
% 195.36/32.35  | | | |   (48)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.36/32.35  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.36/32.35  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.36/32.35  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.36/32.35  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.36/32.35  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.36/32.35  | | | |           e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.36/32.35  | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 195.36/32.35  | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.36/32.35  | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.36/32.35  | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.36/32.35  | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.36/32.35  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.36/32.35  | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.36/32.35  | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.36/32.35  | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.36/32.35  | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 &
% 195.36/32.35  | | | |           all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 = e0) &
% 195.36/32.35  | | | |           op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 195.36/32.35  | | | |           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.36/32.35  | | | |         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 195.36/32.35  | | | |           (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.36/32.35  | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.36/32.35  | | | |           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 195.36/32.35  | | | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.36/32.35  | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 195.36/32.35  | | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.36/32.35  | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.36/32.35  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.36/32.35  | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.36/32.35  | | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.36/32.35  | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3)
% 195.36/32.35  | | | |               & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.36/32.35  | | | |               e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.36/32.35  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.36/32.35  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.36/32.35  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.36/32.35  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.36/32.35  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.36/32.35  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.36/32.35  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.36/32.35  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.36/32.35  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.36/32.35  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.36/32.35  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.36/32.35  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.36/32.35  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.36/32.35  | | | | 
% 195.36/32.35  | | | | BETA: splitting (48) gives:
% 195.36/32.35  | | | | 
% 195.36/32.35  | | | | Case 1:
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | |   (49)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.36/32.35  | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 195.36/32.35  | | | | |           & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.36/32.35  | | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.36/32.35  | | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.36/32.35  | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 195.36/32.35  | | | | |           = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.36/32.35  | | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 195.36/32.35  | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.36/32.35  | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.36/32.35  | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.36/32.35  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 195.36/32.35  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.36/32.35  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.36/32.35  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.36/32.35  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.36/32.35  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | | BETA: splitting (49) gives:
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | | Case 1:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | |   (50)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.36/32.35  | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 195.36/32.35  | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.36/32.35  | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 & all_57_10
% 195.36/32.35  | | | | | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3,
% 195.36/32.35  | | | | | |             e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.36/32.35  | | | | | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.36/32.35  | | | | | |           $i(all_57_12))
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | BETA: splitting (50) gives:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | Case 1:
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | |   (51)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.36/32.35  | | | | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 195.36/32.35  | | | | | | |         e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.36/32.35  | | | | | | |         $i(all_57_8) & $i(all_57_10)
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | ALPHA: (51) implies:
% 195.36/32.35  | | | | | | |   (52)  op(e0, e0) = e1
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | REF_CLOSE: (7), (22), (25), (52) are inconsistent by sub-proof
% 195.36/32.35  | | | | | | |            #1780.
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | Case 2:
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | |   (53)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.36/32.35  | | | | | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6
% 195.36/32.35  | | | | | | |         & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6)
% 195.36/32.35  | | | | | | |         & $i(all_57_12)
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | ALPHA: (53) implies:
% 195.36/32.35  | | | | | | |   (54)   ~ (all_57_12 = e1)
% 195.36/32.35  | | | | | | |   (55)  op(e2, e2) = all_57_12
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | REF_CLOSE: (7), (9), (54), (55) are inconsistent by sub-proof
% 195.36/32.35  | | | | | | |            #1890.
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | End of split
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | Case 2:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | |   (56)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.36/32.35  | | | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.36/32.35  | | | | | |           e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.36/32.35  | | | | | |           $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12
% 195.36/32.35  | | | | | |           = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3,
% 195.36/32.35  | | | | | |             e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.36/32.35  | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 195.36/32.35  | | | | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.36/32.35  | | | | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 195.36/32.35  | | | | | |           e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.36/32.35  | | | | | |           $i(all_57_10) & $i(all_57_13))
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | BETA: splitting (56) gives:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | Case 1:
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | |   (57)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.36/32.35  | | | | | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.36/32.35  | | | | | | |         e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.36/32.35  | | | | | | |         $i(all_57_8) & $i(all_57_12)
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | ALPHA: (57) implies:
% 195.36/32.35  | | | | | | |   (58)  op(e0, e0) = e1
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | REF_CLOSE: (7), (22), (25), (58) are inconsistent by sub-proof
% 195.36/32.35  | | | | | | |            #1780.
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | Case 2:
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | |   (59)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.36/32.35  | | | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 195.36/32.35  | | | | | | |           e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.36/32.35  | | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.36/32.35  | | | | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 195.36/32.35  | | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.36/32.35  | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10)
% 195.36/32.35  | | | | | | |           & $i(all_57_13))
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | REF_CLOSE: (7), (9), (19), (23), (59) are inconsistent by
% 195.36/32.35  | | | | | | |            sub-proof #1317.
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | End of split
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | End of split
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | Case 2:
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | |   (60)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.36/32.35  | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.36/32.35  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.36/32.35  | | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.36/32.35  | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.36/32.35  | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 195.36/32.35  | | | | |           = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 195.36/32.35  | | | | |           all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.36/32.35  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.36/32.35  | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 195.36/32.35  | | | | |         (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.36/32.35  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.36/32.35  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.36/32.35  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.35  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.36/32.35  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.36/32.35  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.36/32.35  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.36/32.35  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.36/32.35  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.36/32.35  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.36/32.35  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.36/32.35  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.36/32.35  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.36/32.35  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.36/32.35  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.36/32.35  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.36/32.35  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.36/32.35  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.36/32.35  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.36/32.35  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.36/32.35  | | | | |               $i(all_57_7))))
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | | BETA: splitting (60) gives:
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | | Case 1:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | |   (61)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.36/32.35  | | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9
% 195.36/32.35  | | | | | |           & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 195.36/32.35  | | | | | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.36/32.35  | | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.36/32.35  | | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1,
% 195.36/32.35  | | | | | |             e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | REF_CLOSE: (7), (10), (19), (61) are inconsistent by sub-proof
% 195.36/32.35  | | | | | |            #1936.
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | Case 2:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | |   (62)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.36/32.35  | | | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) =
% 195.36/32.35  | | | | | |           e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.36/32.35  | | | | | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.36/32.35  | | | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0)
% 195.36/32.35  | | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.36/32.35  | | | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.36/32.35  | | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.35  | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.36/32.35  | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2)
% 195.36/32.35  | | | | | |               = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 =
% 195.36/32.35  | | | | | |               e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.36/32.35  | | | | | |               (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1)
% 195.36/32.35  | | | | | |               = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.36/32.35  | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.36/32.35  | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.36/32.35  | | | | | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 195.36/32.35  | | | | | |               = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.36/32.35  | | | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1)
% 195.36/32.35  | | | | | |               = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.36/32.35  | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.36/32.35  | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.36/32.35  | | | | | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 195.36/32.35  | | | | | |               = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.36/32.35  | | | | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.36/32.35  | | | | | |               all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | BETA: splitting (62) gives:
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | | Case 1:
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | |   (63)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.36/32.35  | | | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) =
% 195.36/32.35  | | | | | | |         e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.36/32.35  | | | | | | |         $i(all_57_12) & $i(all_57_13)
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | ALPHA: (63) implies:
% 195.36/32.35  | | | | | | |   (64)   ~ (all_57_13 = e1)
% 195.36/32.35  | | | | | | |   (65)  op(e1, e0) = all_57_13
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | REF_CLOSE: (7), (23), (64), (65) are inconsistent by sub-proof
% 195.36/32.35  | | | | | | |            #1437.
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | Case 2:
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | |   (66)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 195.36/32.35  | | | | | | |           ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 195.36/32.35  | | | | | | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.36/32.35  | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 195.36/32.35  | | | | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 195.36/32.35  | | | | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.36/32.35  | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.36/32.35  | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.36/32.35  | | | | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.36/32.35  | | | | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.36/32.35  | | | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.36/32.35  | | | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.36/32.35  | | | | | | |               e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.36/32.35  | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.36/32.35  | | | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.36/32.35  | | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.36/32.35  | | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.36/32.35  | | | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.36/32.35  | | | | | | |               e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.36/32.35  | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.36/32.35  | | | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.36/32.35  | | | | | | |               e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.36/32.35  | | | | | | |               $i(all_57_7))))
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | BETA: splitting (66) gives:
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | | Case 1:
% 195.36/32.35  | | | | | | | | 
% 195.36/32.35  | | | | | | | |   (67)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 195.36/32.35  | | | | | | | |         ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 195.36/32.35  | | | | | | | |         all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.36/32.35  | | | | | | | |         $i(all_57_11) & $i(all_57_14)
% 195.36/32.35  | | | | | | | | 
% 195.36/32.35  | | | | | | | | ALPHA: (67) implies:
% 195.36/32.35  | | | | | | | |   (68)  op(e2, e2) = e0
% 195.36/32.35  | | | | | | | | 
% 195.36/32.35  | | | | | | | | REF_CLOSE: (7), (9), (19), (68) are inconsistent by sub-proof
% 195.36/32.35  | | | | | | | |            #1909.
% 195.36/32.35  | | | | | | | | 
% 195.36/32.35  | | | | | | | Case 2:
% 195.36/32.35  | | | | | | | | 
% 195.36/32.35  | | | | | | | |   (69)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0
% 195.36/32.35  | | | | | | | |             & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.36/32.35  | | | | | | | |             (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.36/32.35  | | | | | | | |               e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.36/32.35  | | | | | | | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.36/32.35  | | | | | | | |              ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 195.36/32.35  | | | | | | | |               e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.36/32.35  | | | | | | | |           (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &
% 195.36/32.35  | | | | | | | |              ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.36/32.35  | | | | | | | |             all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.36/32.35  | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 195.36/32.35  | | | | | | | |              ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1,
% 195.36/32.35  | | | | | | | |               e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.36/32.35  | | | | | | | |           (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &
% 195.36/32.35  | | | | | | | |              ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.36/32.35  | | | | | | | |             all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.36/32.35  | | | | | | | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 195.36/32.35  | | | | | | | |              ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.36/32.35  | | | | | | | |             all_57_7 & op(e0, e1) = e0 & $i(all_57_7)))
% 195.36/32.35  | | | | | | | | 
% 195.36/32.35  | | | | | | | | ALPHA: (69) implies:
% 195.36/32.35  | | | | | | | |   (70)  op(e0, e0) = all_57_15
% 195.36/32.35  | | | | | | | |   (71)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) & 
% 195.36/32.35  | | | | | | | |           ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.36/32.35  | | | | | | | |             e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.36/32.35  | | | | | | | |         (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.36/32.35  | | | | | | | |           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 195.36/32.35  | | | | | | | |             e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.36/32.35  | | | | | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 195.36/32.35  | | | | | | | |           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.36/32.35  | | | | | | | |           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 195.36/32.35  | | | | | | | |           = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.36/32.35  | | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1)
% 195.36/32.35  | | | | | | | |           = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.36/32.35  | | | | | | | |           e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.36/32.35  | | | | | | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.36/32.35  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 195.36/32.35  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.36/32.35  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.36/32.35  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.36/32.35  | | | | | | | | 
% 195.36/32.35  | | | | | | | | BETA: splitting (71) gives:
% 195.36/32.35  | | | | | | | | 
% 195.36/32.35  | | | | | | | | Case 1:
% 195.36/32.35  | | | | | | | | | 
% 195.36/32.35  | | | | | | | | |   (72)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &
% 195.36/32.35  | | | | | | | | |            ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.36/32.35  | | | | | | | | |             e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.36/32.35  | | | | | | | | |         (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.36/32.35  | | | | | | | | |            ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 195.36/32.35  | | | | | | | | |             e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.36/32.35  | | | | | | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &
% 195.36/32.35  | | | | | | | | |            ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.36/32.35  | | | | | | | | |           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.36/32.35  | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | REF_CLOSE: (6), (7), (9), (18), (25), (26), (70), (72) are
% 195.36/32.35  | | | | | | | | |            inconsistent by sub-proof #504.
% 195.36/32.35  | | | | | | | | | 
% 195.36/32.35  | | | | | | | | Case 2:
% 195.36/32.35  | | | | | | | | | 
% 195.36/32.35  | | | | | | | | |   (73)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 195.36/32.35  | | | | | | | | |            ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1,
% 195.36/32.35  | | | | | | | | |             e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.36/32.35  | | | | | | | | |         (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &
% 195.36/32.35  | | | | | | | | |            ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.36/32.35  | | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.36/32.35  | | | | | | | | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 195.36/32.35  | | | | | | | | |            ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.36/32.35  | | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.36/32.35  | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | BETA: splitting (73) gives:
% 195.36/32.35  | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | Case 1:
% 195.36/32.35  | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | |   (74)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1)
% 195.36/32.35  | | | | | | | | | |         &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 &
% 195.36/32.35  | | | | | | | | | |         op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)
% 195.36/32.35  | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | ALPHA: (74) implies:
% 195.36/32.35  | | | | | | | | | |   (75)   ~ (all_57_15 = e2)
% 195.36/32.35  | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | REF_CLOSE: (7), (25), (70), (75) are inconsistent by
% 195.36/32.35  | | | | | | | | | |            sub-proof #748.
% 195.36/32.35  | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | Case 2:
% 195.36/32.35  | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | |   (76)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.36/32.35  | | | | | | | | | |           &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.36/32.35  | | | | | | | | | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6))
% 195.36/32.35  | | | | | | | | | |         | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.36/32.35  | | | | | | | | | |             e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.36/32.35  | | | | | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.36/32.35  | | | | | | | | | |           $i(all_57_7))
% 195.36/32.35  | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | BETA: splitting (76) gives:
% 195.36/32.35  | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | Case 1:
% 195.36/32.35  | | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | |   (77)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.36/32.35  | | | | | | | | | | |           e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.36/32.35  | | | | | | | | | | |         op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.36/32.35  | | | | | | | | | | |         $i(all_57_6)
% 195.36/32.35  | | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | | ALPHA: (77) implies:
% 195.36/32.35  | | | | | | | | | | |   (78)  all_57_8 = e0
% 195.36/32.35  | | | | | | | | | | |   (79)   ~ (all_57_15 = e1)
% 195.36/32.35  | | | | | | | | | | |   (80)  op(e0, e1) = e0
% 195.36/32.35  | | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (11), (12),
% 195.36/32.35  | | | | | | | | | | |            (13), (14), (17), (18), (19), (22), (24), (25),
% 195.36/32.35  | | | | | | | | | | |            (26), (27), (28), (29), (31), (40), (70), (78),
% 195.36/32.35  | | | | | | | | | | |            (79), (80) are inconsistent by sub-proof #492.
% 195.36/32.35  | | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | Case 2:
% 195.36/32.35  | | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | |   (81)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.36/32.35  | | | | | | | | | | |           e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.36/32.35  | | | | | | | | | | |         op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.36/32.35  | | | | | | | | | | |         $i(all_57_7)
% 195.36/32.35  | | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | | ALPHA: (81) implies:
% 195.36/32.35  | | | | | | | | | | |   (82)  all_57_8 = e0
% 195.36/32.35  | | | | | | | | | | |   (83)   ~ (all_57_15 = e1)
% 195.36/32.35  | | | | | | | | | | |   (84)  op(e0, e1) = e0
% 195.36/32.35  | | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (11), (12),
% 195.36/32.35  | | | | | | | | | | |            (13), (14), (17), (18), (19), (22), (24), (25),
% 195.36/32.35  | | | | | | | | | | |            (26), (27), (28), (29), (31), (40), (70), (82),
% 195.36/32.35  | | | | | | | | | | |            (83), (84) are inconsistent by sub-proof #492.
% 195.36/32.35  | | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | | End of split
% 195.36/32.35  | | | | | | | | | | 
% 195.36/32.35  | | | | | | | | | End of split
% 195.36/32.35  | | | | | | | | | 
% 195.36/32.35  | | | | | | | | End of split
% 195.36/32.35  | | | | | | | | 
% 195.36/32.35  | | | | | | | End of split
% 195.36/32.35  | | | | | | | 
% 195.36/32.35  | | | | | | End of split
% 195.36/32.35  | | | | | | 
% 195.36/32.35  | | | | | End of split
% 195.36/32.35  | | | | | 
% 195.36/32.35  | | | | End of split
% 195.36/32.35  | | | | 
% 195.36/32.35  | | | End of split
% 195.36/32.35  | | | 
% 195.36/32.35  | | End of split
% 195.36/32.35  | | 
% 195.36/32.35  | Case 2:
% 195.36/32.35  | | 
% 195.36/32.35  | |   (85)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 195.36/32.35  | |           e2)
% 195.36/32.35  | | 
% 195.36/32.35  | | BETA: splitting (85) gives:
% 195.36/32.35  | | 
% 195.36/32.35  | | Case 1:
% 195.36/32.35  | | | 
% 195.36/32.35  | | |   (86)  all_56_6 = e2 & op(e1, e3) = e2
% 195.36/32.35  | | | 
% 195.36/32.35  | | | REF_CLOSE: (1), (7), (16), (86) are inconsistent by sub-proof #796.
% 195.36/32.35  | | | 
% 195.36/32.35  | | Case 2:
% 195.36/32.35  | | | 
% 195.36/32.35  | | |   (87)  all_56_12 = e2 & op(e0, e3) = e2
% 195.36/32.35  | | | 
% 195.36/32.35  | | | REF_CLOSE: (5), (7), (12), (87) are inconsistent by sub-proof #528.
% 195.36/32.35  | | | 
% 195.36/32.35  | | End of split
% 195.36/32.35  | | 
% 195.36/32.35  | End of split
% 195.36/32.35  | 
% 195.36/32.35  End of proof
% 195.36/32.35  
% 195.36/32.35  Sub-proof #492 shows that the following formulas are inconsistent:
% 195.36/32.35  ----------------------------------------------------------------
% 195.36/32.35    (1)  op(e1, e3) = all_52_2
% 195.36/32.36    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.36/32.36           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.36/32.36           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.36/32.36                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.36/32.36               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.36/32.36               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.36/32.36           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.36/32.36           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.36/32.36               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.36/32.36           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.36/32.36               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.36/32.36           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.36/32.36           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.36/32.36               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.36               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.36/32.36               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.36         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.36/32.36           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.36/32.36           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.36/32.36               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.36/32.36             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.36         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.36/32.36           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.36/32.36           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.36/32.36                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.36/32.36               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.36/32.36               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.36/32.36           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.36/32.36           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.36/32.36             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.36           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.36/32.36               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.36/32.36           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.36/32.36           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.36/32.36               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.36/32.36               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.36/32.36               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.36         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.36/32.36           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.36/32.36           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.36/32.36               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.36/32.36             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.36         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.36/32.36           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.36/32.36           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.36/32.36                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.36/32.36               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.36/32.36               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.36/32.36           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.36/32.36             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.36               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.36           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.36/32.36               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.36/32.36           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.36/32.36           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.36/32.36               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.36               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.36               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.36/32.36         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.36/32.36           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.36/32.36           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.36/32.36               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.36/32.36             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.36/32.36         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.36/32.36             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.36           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.36/32.36               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.36/32.36             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.36         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.36/32.36             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.36           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.36/32.36               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.36/32.36             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.36         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.36/32.36             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.36           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.36/32.36               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.36/32.36             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.36         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.36/32.36             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.36           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.36/32.36               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.36/32.36             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.36/32.36    (3)  all_57_8 = e0
% 195.36/32.36    (4)  op(e1, e2) = all_52_6
% 195.36/32.36    (5)   ~ (all_52_13 = e2)
% 195.36/32.36    (6)   ~ (e3 = e2)
% 195.36/32.36    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.36    (8)  op(e2, e2) = e1
% 195.36/32.36    (9)  op(e3, e3) = e1
% 195.36/32.36    (10)   ~ (all_52_7 = all_52_11)
% 195.36/32.36    (11)  op(e0, e3) = all_52_3
% 195.36/32.36    (12)  op(e2, e0) = all_52_13
% 195.36/32.36    (13)  op(e3, e2) = e2
% 195.36/32.36    (14)  op(e0, e1) = e0
% 195.36/32.36    (15)  op(e0, e0) = all_57_15
% 195.36/32.36    (16)  op(e0, e1) = all_52_11
% 195.36/32.36    (17)  op(e1, e1) = e2
% 195.36/32.36    (18)   ~ (e1 = e0)
% 195.36/32.36    (19)   ~ (e2 = e1)
% 195.36/32.36    (20)   ~ (all_52_2 = e1)
% 195.36/32.36    (21)   ~ (all_57_15 = e1)
% 195.36/32.36    (22)  op(e0, e0) = e2
% 195.36/32.36    (23)   ~ (e3 = e1)
% 195.36/32.36    (24)   ~ (all_52_6 = e1)
% 195.36/32.36    (25)  op(e0, e2) = all_52_7
% 195.36/32.36    (26)   ~ (e2 = e0)
% 195.36/32.36    (27)   ~ (all_52_3 = all_52_11)
% 195.36/32.36  
% 195.36/32.36  Begin of proof
% 195.36/32.36  | 
% 195.36/32.36  | BETA: splitting (2) gives:
% 195.36/32.36  | 
% 195.36/32.36  | Case 1:
% 195.36/32.36  | | 
% 195.36/32.36  | |   (28)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.36/32.36  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.36/32.36  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.36/32.36  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.36/32.36  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.36/32.36  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 195.36/32.36  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.36/32.36  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 195.36/32.36  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.36/32.36  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.36/32.36  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.36/32.36  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 195.36/32.36  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 195.36/32.36  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.36/32.36  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.36  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.36/32.36  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.36  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.36/32.36  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.36/32.36  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.36/32.36  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.36  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.36/32.36  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 195.36/32.36  | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0,
% 195.36/32.36  | |             e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 195.36/32.36  | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.36/32.36  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 195.36/32.36  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.36/32.36  | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15
% 195.36/32.36  | |           = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0
% 195.36/32.36  | |           & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 195.36/32.36  | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.36/32.36  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.36/32.36  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.36/32.36  | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.36/32.36  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.36/32.36  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.36/32.36  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.36  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.36  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 195.36/32.36  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.36/32.36  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 195.36/32.36  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.36/32.36  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 195.36/32.36  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.36/32.36  | |               $i(all_57_5))))
% 195.36/32.36  | | 
% 195.36/32.36  | | BETA: splitting (28) gives:
% 195.36/32.36  | | 
% 195.36/32.36  | | Case 1:
% 195.36/32.36  | | | 
% 195.36/32.36  | | |   (29)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 195.36/32.36  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.36/32.36  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.36/32.36  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.36/32.36  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.36/32.36  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 195.36/32.36  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.36/32.36  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 195.36/32.36  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.36/32.36  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 195.36/32.36  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.36/32.36  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 195.36/32.36  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 195.36/32.36  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.36/32.36  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.36/32.36  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.36/32.36  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.36/32.36  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 195.36/32.36  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.36/32.36  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 195.36/32.36  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.36/32.36  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.36/32.36  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.36/32.36  | | |               $i(all_57_2))))
% 195.36/32.36  | | | 
% 195.36/32.36  | | | BETA: splitting (29) gives:
% 195.36/32.36  | | | 
% 195.36/32.36  | | | Case 1:
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | |   (30)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 195.36/32.36  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 195.36/32.36  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 195.36/32.36  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.36/32.36  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 195.36/32.36  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.36/32.36  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 195.36/32.36  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 195.36/32.36  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.36/32.36  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.36/32.36  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.36  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | | REF_CLOSE: (6), (7), (8), (13), (23), (30) are inconsistent by sub-proof
% 195.36/32.36  | | | |            #1143.
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | Case 2:
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | |   (31)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 195.36/32.36  | | | |           e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 195.36/32.36  | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 195.36/32.36  | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.36  | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.36/32.36  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 195.36/32.36  | | | |         | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.36/32.36  | | | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 195.36/32.36  | | | |           e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.36/32.36  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.36  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.36  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | | BETA: splitting (31) gives:
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | | Case 1:
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | |   (32)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 195.36/32.36  | | | | |         e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 195.36/32.36  | | | | |         all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 195.36/32.36  | | | | |             e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.36  | | | | |             $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.36/32.36  | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | ALPHA: (32) implies:
% 195.36/32.36  | | | | |   (33)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 195.36/32.36  | | | | |           op(e0, e1) = all_57_8 & $i(all_57_8))
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | REF_CLOSE: (3), (7), (19), (22), (33) are inconsistent by sub-proof
% 195.36/32.36  | | | | |            #1658.
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | Case 2:
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | |   (34)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.36/32.36  | | | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 195.36/32.36  | | | | |         e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.36/32.36  | | | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.36  | | | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.36  | | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | ALPHA: (34) implies:
% 195.36/32.36  | | | | |   (35)  op(e1, e3) = e1
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | REF_CLOSE: (1), (7), (20), (35) are inconsistent by sub-proof #1974.
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | End of split
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | End of split
% 195.36/32.36  | | | 
% 195.36/32.36  | | Case 2:
% 195.36/32.36  | | | 
% 195.36/32.36  | | |   (36)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 195.36/32.36  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.36/32.36  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.36  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 195.36/32.36  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 195.36/32.36  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 195.36/32.36  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.36/32.36  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.36/32.36  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.36/32.36  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 195.36/32.36  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.36/32.36  | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2
% 195.36/32.36  | | |           & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1,
% 195.36/32.36  | | |             e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.36/32.36  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.36/32.36  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 195.36/32.36  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.36/32.36  | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 195.36/32.36  | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.36/32.36  | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 195.36/32.36  | | |               = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.36/32.36  | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 195.36/32.36  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.36/32.36  | | |               $i(all_57_5))))
% 195.36/32.36  | | | 
% 195.36/32.36  | | | BETA: splitting (36) gives:
% 195.36/32.36  | | | 
% 195.36/32.36  | | | Case 1:
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | |   (37)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 195.36/32.36  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 195.36/32.36  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 195.36/32.36  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.36/32.36  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 195.36/32.36  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.36/32.36  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 195.36/32.36  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.36/32.36  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.36/32.36  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.36/32.36  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.36/32.36  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.36/32.36  | | | |               all_57_1 & $i(all_57_1))))
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | | REF_CLOSE: (7), (9), (11), (14), (16), (18), (27), (37) are inconsistent
% 195.36/32.36  | | | |            by sub-proof #1195.
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | Case 2:
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | |   (38)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 195.36/32.36  | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 195.36/32.36  | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.36/32.36  | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.36/32.36  | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.36/32.36  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 195.36/32.36  | | | |         | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 195.36/32.36  | | | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 195.36/32.36  | | | |           e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.36  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.36  | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.36/32.36  | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | | REF_CLOSE: (3), (4), (7), (19), (22), (24), (38) are inconsistent by
% 195.36/32.36  | | | |            sub-proof #494.
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | End of split
% 195.36/32.36  | | | 
% 195.36/32.36  | | End of split
% 195.36/32.36  | | 
% 195.36/32.36  | Case 2:
% 195.36/32.36  | | 
% 195.36/32.36  | |   (39)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.36/32.36  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.36/32.36  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.36  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.36  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 195.36/32.36  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 195.36/32.36  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 195.36/32.36  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.36/32.36  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 195.36/32.36  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 195.36/32.36  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.36/32.36  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 195.36/32.36  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.36/32.36  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 195.36/32.36  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.36  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.36  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.36/32.36  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.36/32.36  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.36/32.36  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.36/32.36  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.36  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 195.36/32.36  | |                 e1) = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 195.36/32.36  | |             e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 195.36/32.36  | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 195.36/32.36  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.36/32.36  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.36/32.36  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.36/32.36  | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 195.36/32.36  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 195.36/32.36  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 195.36/32.36  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.36/32.36  | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 195.36/32.36  | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.36  | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 195.36/32.36  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.36/32.36  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.36/32.36  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.36/32.36  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.36  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 195.36/32.36  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.36/32.36  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 195.36/32.36  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.36/32.36  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 195.36/32.36  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.36/32.36  | |               $i(all_57_13))))
% 195.36/32.36  | | 
% 195.36/32.36  | | BETA: splitting (39) gives:
% 195.36/32.36  | | 
% 195.36/32.36  | | Case 1:
% 195.36/32.36  | | | 
% 195.36/32.36  | | |   (40)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 195.36/32.36  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.36/32.36  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.36  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.36  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 195.36/32.36  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 195.36/32.36  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 195.36/32.36  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.36/32.36  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.36  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.36  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.36/32.36  | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 195.36/32.36  | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 195.36/32.36  | | |           e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.36  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.36/32.36  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.36/32.36  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.36/32.36  | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 195.36/32.36  | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.36/32.36  | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10
% 195.36/32.36  | | |               = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.36/32.36  | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 195.36/32.36  | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.36  | | |               $i(all_57_7))))
% 195.36/32.36  | | | 
% 195.36/32.36  | | | BETA: splitting (40) gives:
% 195.36/32.36  | | | 
% 195.36/32.36  | | | Case 1:
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | |   (41)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 195.36/32.36  | | | |           e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 195.36/32.36  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 195.36/32.36  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.36  | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 195.36/32.36  | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.36/32.36  | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 195.36/32.36  | | | |           all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.36/32.36  | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.36/32.36  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.36/32.36  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.36/32.36  | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.36/32.36  | | | |               all_57_4 & $i(all_57_4))))
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | | BETA: splitting (41) gives:
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | | Case 1:
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | |   (42)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 195.36/32.36  | | | | |         e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 195.36/32.36  | | | | |         all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 195.36/32.36  | | | | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.36  | | | | |             $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 195.36/32.36  | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.36/32.36  | | | | |             $i(all_57_13)))
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | ALPHA: (42) implies:
% 195.36/32.36  | | | | |   (43)  op(e2, e0) = e2
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | REF_CLOSE: (5), (7), (12), (43) are inconsistent by sub-proof #1662.
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | Case 2:
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | |   (44)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.36/32.36  | | | | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) =
% 195.36/32.36  | | | | |         e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.36  | | | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.36  | | | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.36/32.36  | | | | |             op(e1, e2) = all_57_4 & $i(all_57_4)))
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | ALPHA: (44) implies:
% 195.36/32.36  | | | | |   (45)  op(e0, e2) = e0
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | REF_CLOSE: (7), (10), (14), (16), (25), (45) are inconsistent by
% 195.36/32.36  | | | | |            sub-proof #493.
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | End of split
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | Case 2:
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | |   (46)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 195.36/32.36  | | | |           e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 195.36/32.36  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 195.36/32.36  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.36  | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.36  | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.36/32.36  | | | |               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 195.36/32.36  | | | |           all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.36/32.36  | | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.36/32.36  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.36/32.36  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.36/32.36  | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.36/32.36  | | | |               all_57_7 & $i(all_57_7))))
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | | BETA: splitting (46) gives:
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | | Case 1:
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | |   (47)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 195.36/32.36  | | | | |         e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 195.36/32.36  | | | | |         all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 195.36/32.36  | | | | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.36  | | | | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.36  | | | | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.36/32.36  | | | | |             $i(all_57_11)))
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | ALPHA: (47) implies:
% 195.36/32.36  | | | | |   (48)  op(e1, e1) = e0
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | REF_CLOSE: (7), (17), (26), (48) are inconsistent by sub-proof #1821.
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | Case 2:
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | |   (49)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.36/32.36  | | | | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) =
% 195.36/32.36  | | | | |         e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.36/32.36  | | | | |             (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.36  | | | | |         ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.36/32.36  | | | | |             op(e2, e1) = all_57_7 & $i(all_57_7)))
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | ALPHA: (49) implies:
% 195.36/32.36  | | | | |   (50)  op(e0, e0) = e1
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | | REF_CLOSE: (7), (15), (21), (50) are inconsistent by sub-proof #499.
% 195.36/32.36  | | | | | 
% 195.36/32.36  | | | | End of split
% 195.36/32.36  | | | | 
% 195.36/32.36  | | | End of split
% 195.36/32.36  | | | 
% 195.36/32.36  | | Case 2:
% 195.36/32.36  | | | 
% 195.36/32.37  | | |   (51)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 195.36/32.37  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.36/32.37  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.36/32.37  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.36/32.37  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.37  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 195.36/32.37  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.37  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.37  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.36/32.37  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.36/32.37  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.36/32.37  | | |               all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) =
% 195.36/32.37  | | |           e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.36/32.37  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 195.36/32.37  | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.36/32.37  | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 195.36/32.37  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.36/32.37  | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 195.36/32.37  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.36/32.37  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.36/32.37  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.36/32.37  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 195.36/32.37  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.36/32.37  | | |               $i(all_57_13))))
% 195.36/32.37  | | | 
% 195.36/32.37  | | | BETA: splitting (51) gives:
% 195.36/32.37  | | | 
% 195.36/32.37  | | | Case 1:
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | |   (52)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 195.36/32.37  | | | |                 e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 195.36/32.37  | | | |               & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 195.36/32.37  | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 195.36/32.37  | | | |           & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.37  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2
% 195.36/32.37  | | | |           & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.37  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.37  | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.36/32.37  | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 195.36/32.37  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.36/32.37  | | | |               all_57_5 & $i(all_57_5))))
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | | REF_CLOSE: (7), (8), (9), (19), (23), (52) are inconsistent by sub-proof
% 195.36/32.37  | | | |            #1134.
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | Case 2:
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | |   (53)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 195.36/32.37  | | | |                 e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 195.36/32.37  | | | |               & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 195.36/32.37  | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 195.36/32.37  | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 195.36/32.37  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0
% 195.36/32.37  | | | |           & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.37  | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.37  | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 195.36/32.37  | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 195.36/32.37  | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 195.36/32.37  | | | |               = all_57_13 & $i(all_57_13))))
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | | REF_CLOSE: (7), (17), (19), (22), (26), (53) are inconsistent by
% 195.36/32.37  | | | |            sub-proof #531.
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | End of split
% 195.36/32.37  | | | 
% 195.36/32.37  | | End of split
% 195.36/32.37  | | 
% 195.36/32.37  | End of split
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #493 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (2)   ~ (all_52_7 = all_52_11)
% 195.36/32.37    (3)  op(e0, e1) = e0
% 195.36/32.37    (4)  op(e0, e2) = e0
% 195.36/32.37    (5)  op(e0, e1) = all_52_11
% 195.36/32.37    (6)  op(e0, e2) = all_52_7
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | GROUND_INST: instantiating (1) with all_52_11, e0, e1, e0, simplifying with
% 195.36/32.37  |              (3), (5) gives:
% 195.36/32.37  |   (7)  all_52_11 = e0
% 195.36/32.37  | 
% 195.36/32.37  | GROUND_INST: instantiating (1) with all_52_7, e0, e2, e0, simplifying with
% 195.36/32.37  |              (4), (6) gives:
% 195.36/32.37  |   (8)  all_52_7 = e0
% 195.36/32.37  | 
% 195.36/32.37  | REDUCE: (2), (7), (8) imply:
% 195.36/32.37  |   (9)  $false
% 195.36/32.37  | 
% 195.36/32.37  | CLOSE: (9) is inconsistent.
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #494 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)  all_57_8 = e0
% 195.36/32.37    (2)  op(e1, e2) = all_52_6
% 195.36/32.37    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (4)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.36/32.37           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.36/32.37           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.36/32.37                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 195.36/32.37               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.36/32.37               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.36/32.37           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 195.36/32.37           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.37               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.37           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 195.36/32.37               = all_57_5 & $i(all_57_5))))
% 195.36/32.37    (5)   ~ (e2 = e1)
% 195.36/32.37    (6)  op(e0, e0) = e2
% 195.36/32.37    (7)   ~ (all_52_6 = e1)
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | BETA: splitting (4) gives:
% 195.36/32.37  | 
% 195.36/32.37  | Case 1:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (8)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.36/32.37  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.36/32.37  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.36/32.37  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 195.36/32.37  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 195.36/32.37  | |            & $i(all_57_8)))
% 195.36/32.37  | | 
% 195.36/32.37  | | ALPHA: (8) implies:
% 195.36/32.37  | |   (9)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 195.36/32.37  | |          = all_57_8 & $i(all_57_8))
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (1), (3), (5), (6), (9) are inconsistent by sub-proof #1658.
% 195.36/32.37  | | 
% 195.36/32.37  | Case 2:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (10)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 195.36/32.37  | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.36/32.37  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 195.36/32.37  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 195.36/32.37  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.36/32.37  | |             all_57_5 & $i(all_57_5)))
% 195.36/32.37  | | 
% 195.36/32.37  | | ALPHA: (10) implies:
% 195.36/32.37  | |   (11)  op(e1, e2) = e1
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (2), (3), (7), (11) are inconsistent by sub-proof #1970.
% 195.36/32.37  | | 
% 195.36/32.37  | End of split
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #495 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.36/32.37             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.37           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.36/32.37               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.36/32.37             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.37         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.36/32.37             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.37           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.36/32.37               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.36/32.37             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.36/32.37    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (3)  op(e1, e1) = e2
% 195.36/32.37    (4)   ~ (e2 = e1)
% 195.36/32.37    (5)  op(e1, e0) = e1
% 195.36/32.37    (6)   ~ (e2 = e0)
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | BETA: splitting (1) gives:
% 195.36/32.37  | 
% 195.36/32.37  | Case 1:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 195.36/32.37  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.36/32.37  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.36/32.37  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.36/32.37  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.37  | |              e1) = all_57_8 & $i(all_57_8)))
% 195.36/32.37  | | 
% 195.36/32.37  | | ALPHA: (7) implies:
% 195.36/32.37  | |   (8)  op(e1, e1) = e1
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1955.
% 195.36/32.37  | | 
% 195.36/32.37  | Case 2:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 195.36/32.37  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.37  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.37  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.36/32.37  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.37  | |              e0) = all_57_13 & $i(all_57_13)))
% 195.36/32.37  | | 
% 195.36/32.37  | | ALPHA: (9) implies:
% 195.36/32.37  | |   (10)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.37  | |             e0) = all_57_13 & $i(all_57_13))
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (2), (3), (5), (6), (10) are inconsistent by sub-proof #496.
% 195.36/32.37  | | 
% 195.36/32.37  | End of split
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #496 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (2)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.36/32.37           all_57_13 & $i(all_57_13))
% 195.36/32.37    (3)  op(e1, e1) = e2
% 195.36/32.37    (4)  op(e1, e0) = e1
% 195.36/32.37    (5)   ~ (e2 = e0)
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | BETA: splitting (2) gives:
% 195.36/32.37  | 
% 195.36/32.37  | Case 1:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (6)  all_57_14 = e0 & op(e1, e1) = e0
% 195.36/32.37  | | 
% 195.36/32.37  | | ALPHA: (6) implies:
% 195.36/32.37  | |   (7)  op(e1, e1) = e0
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #1821.
% 195.36/32.37  | | 
% 195.36/32.37  | Case 2:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (8)   ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13)
% 195.36/32.37  | | 
% 195.36/32.37  | | ALPHA: (8) implies:
% 195.36/32.37  | |   (9)   ~ (all_57_13 = e1)
% 195.36/32.37  | |   (10)  op(e1, e0) = all_57_13
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (1), (4), (9), (10) are inconsistent by sub-proof #1437.
% 195.36/32.37  | | 
% 195.36/32.37  | End of split
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #497 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (2)  op(e3, e2) = all_52_4
% 195.36/32.37    (3)   ~ (all_52_4 = all_52_8)
% 195.36/32.37    (4)  op(e3, e1) = e3
% 195.36/32.37    (5)  op(e3, e2) = e3
% 195.36/32.37    (6)  op(e3, e1) = all_52_8
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | GROUND_INST: instantiating (1) with all_52_8, e3, e1, e3, simplifying with
% 195.36/32.37  |              (4), (6) gives:
% 195.36/32.37  |   (7)  all_52_8 = e3
% 195.36/32.37  | 
% 195.36/32.37  | GROUND_INST: instantiating (1) with all_52_4, e3, e2, e3, simplifying with
% 195.36/32.37  |              (2), (5) gives:
% 195.36/32.37  |   (8)  all_52_4 = e3
% 195.36/32.37  | 
% 195.36/32.37  | REDUCE: (3), (7), (8) imply:
% 195.36/32.37  |   (9)  $false
% 195.36/32.37  | 
% 195.36/32.37  | CLOSE: (9) is inconsistent.
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #498 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)  op(e1, e2) = all_52_6
% 195.36/32.37    (2)   ~ (all_52_6 = all_52_7)
% 195.36/32.37    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.36/32.37         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.36/32.37    (4)  all_54_2 = all_52_8
% 195.36/32.37    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.36/32.37         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.36/32.37    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (7)  op(e3, e2) = all_52_4
% 195.36/32.37    (8)   ~ (all_52_7 = all_52_11)
% 195.36/32.37    (9)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 195.36/32.37         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.36/32.37    (10)   ~ (all_52_4 = all_52_8)
% 195.36/32.37    (11)  all_54_13 = all_52_7
% 195.36/32.37    (12)   ~ (all_52_4 = all_52_7)
% 195.36/32.37    (13)   ~ (all_52_8 = e3)
% 195.36/32.37    (14)  op(e2, e0) = all_52_13
% 195.36/32.37    (15)  op(e3, e2) = e2
% 195.36/32.37    (16)  op(e0, e1) = e0
% 195.36/32.37    (17)  op(e0, e0) = all_57_15
% 195.36/32.37    (18)   ~ (all_52_13 = e1)
% 195.36/32.37    (19)   ~ (all_52_7 = e1)
% 195.36/32.37    (20)  op(e0, e1) = all_52_11
% 195.36/32.37    (21)  op(e3, e3) = e3
% 195.36/32.37    (22)   ~ (all_52_8 = all_52_12)
% 195.36/32.37    (23)  op(e1, e1) = e2
% 195.36/32.37    (24)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.36/32.37    (25)   ~ (e1 = e0)
% 195.36/32.37    (26)   ~ (all_52_8 = all_52_11)
% 195.36/32.37    (27)   ~ (all_52_4 = e1)
% 195.36/32.37    (28)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.36/32.37    (29)   ~ (all_57_15 = e1)
% 195.36/32.37    (30)  op(e3, e0) = all_52_12
% 195.36/32.37    (31)  all_56_2 = e2
% 195.36/32.37    (32)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.36/32.37          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.36/32.37    (33)   ~ (all_52_11 = e2)
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | GROUND_INST: instantiating (6) with all_52_11, e0, e1, e0, simplifying with
% 195.36/32.37  |              (16), (20) gives:
% 195.36/32.37  |   (34)  all_52_11 = e0
% 195.36/32.37  | 
% 195.36/32.37  | GROUND_INST: instantiating (6) with all_52_4, e2, e2, e3, simplifying with
% 195.36/32.37  |              (7), (15) gives:
% 195.36/32.37  |   (35)  all_52_4 = e2
% 195.36/32.37  | 
% 195.36/32.37  | REDUCE: (12), (35) imply:
% 195.36/32.37  |   (36)   ~ (all_52_7 = e2)
% 195.36/32.37  | 
% 195.36/32.37  | SIMP: (36) implies:
% 195.36/32.37  |   (37)   ~ (all_52_7 = e2)
% 195.36/32.37  | 
% 195.36/32.37  | REDUCE: (10), (35) imply:
% 195.36/32.37  |   (38)   ~ (all_52_8 = e2)
% 195.36/32.37  | 
% 195.36/32.37  | SIMP: (38) implies:
% 195.36/32.37  |   (39)   ~ (all_52_8 = e2)
% 195.36/32.37  | 
% 195.36/32.37  | REDUCE: (27), (35) imply:
% 195.36/32.37  |   (40)   ~ (e2 = e1)
% 195.36/32.37  | 
% 195.36/32.37  | REDUCE: (8), (34) imply:
% 195.36/32.37  |   (41)   ~ (all_52_7 = e0)
% 195.36/32.37  | 
% 195.36/32.37  | REDUCE: (26), (34) imply:
% 195.36/32.37  |   (42)   ~ (all_52_8 = e0)
% 195.36/32.37  | 
% 195.36/32.37  | REDUCE: (33), (34) imply:
% 195.36/32.37  |   (43)   ~ (e2 = e0)
% 195.36/32.37  | 
% 195.36/32.37  | SIMP: (43) implies:
% 195.36/32.37  |   (44)   ~ (e2 = e0)
% 195.36/32.37  | 
% 195.36/32.37  | BETA: splitting (24) gives:
% 195.36/32.37  | 
% 195.36/32.37  | Case 1:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (45)  all_54_2 = e3
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (4), (13), (45) are inconsistent by sub-proof #1762.
% 195.36/32.37  | | 
% 195.36/32.37  | Case 2:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (46)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.36/32.37  | | 
% 195.36/32.37  | | BETA: splitting (28) gives:
% 195.36/32.37  | | 
% 195.36/32.37  | | Case 1:
% 195.36/32.37  | | | 
% 195.36/32.37  | | |   (47)  all_54_13 = e3
% 195.36/32.37  | | | 
% 195.36/32.37  | | | COMBINE_EQS: (11), (47) imply:
% 195.36/32.37  | | |   (48)  all_52_7 = e3
% 195.36/32.37  | | | 
% 195.36/32.37  | | | SIMP: (48) implies:
% 195.36/32.37  | | |   (49)  all_52_7 = e3
% 195.36/32.37  | | | 
% 195.36/32.37  | | | REDUCE: (2), (49) imply:
% 195.36/32.37  | | |   (50)   ~ (all_52_6 = e3)
% 195.36/32.37  | | | 
% 195.36/32.37  | | | REDUCE: (37), (49) imply:
% 195.36/32.37  | | |   (51)   ~ (e3 = e2)
% 195.36/32.37  | | | 
% 195.36/32.37  | | | REDUCE: (19), (49) imply:
% 195.36/32.37  | | |   (52)   ~ (e3 = e1)
% 195.36/32.37  | | | 
% 195.36/32.37  | | | REDUCE: (41), (49) imply:
% 195.36/32.37  | | |   (53)   ~ (e3 = e0)
% 195.36/32.37  | | | 
% 195.36/32.37  | | | BETA: splitting (32) gives:
% 195.36/32.37  | | | 
% 195.36/32.37  | | | Case 1:
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | |   (54)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 195.36/32.37  | | | |           = e3)
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | | BETA: splitting (54) gives:
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | | Case 1:
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | |   (55)  all_56_6 = e3 & op(e1, e3) = e3
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | | ALPHA: (55) implies:
% 195.36/32.37  | | | | |   (56)  all_56_6 = e3
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | | REF_CLOSE: (3), (5), (6), (21), (25), (31), (40), (44), (52), (53),
% 195.36/32.37  | | | | |            (56) are inconsistent by sub-proof #1545.
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | Case 2:
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | |   (57)  all_56_7 = e3 & op(e1, e2) = e3
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | | ALPHA: (57) implies:
% 195.36/32.37  | | | | |   (58)  op(e1, e2) = e3
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | | REF_CLOSE: (1), (6), (50), (58) are inconsistent by sub-proof #1408.
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | End of split
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | Case 2:
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | |   (59)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 195.36/32.37  | | | |           = e3)
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | | BETA: splitting (59) gives:
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | | Case 1:
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | |   (60)  all_56_8 = e3 & op(e1, e1) = e3
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | | ALPHA: (60) implies:
% 195.36/32.37  | | | | |   (61)  op(e1, e1) = e3
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | | REF_CLOSE: (6), (23), (51), (61) are inconsistent by sub-proof #1777.
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | Case 2:
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | |   (62)  all_56_11 = e3 & op(e1, e0) = e3
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | | ALPHA: (62) implies:
% 195.36/32.37  | | | | |   (63)  all_56_11 = e3
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | | BETA: splitting (9) gives:
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | | Case 1:
% 195.36/32.37  | | | | | | 
% 195.36/32.37  | | | | | |   (64)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2,
% 195.36/32.37  | | | | | |             e0) = e1)
% 195.36/32.37  | | | | | | 
% 195.36/32.37  | | | | | | REF_CLOSE: (4), (6), (14), (18), (22), (30), (39), (42), (46), (64)
% 195.36/32.37  | | | | | |            are inconsistent by sub-proof #501.
% 195.36/32.37  | | | | | | 
% 195.36/32.37  | | | | | Case 2:
% 195.36/32.37  | | | | | | 
% 195.36/32.37  | | | | | |   (65)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 195.36/32.37  | | | | | |           op(e0, e0) = e1)
% 195.36/32.37  | | | | | | 
% 195.36/32.37  | | | | | | BETA: splitting (65) gives:
% 195.36/32.37  | | | | | | 
% 195.36/32.37  | | | | | | Case 1:
% 195.36/32.37  | | | | | | | 
% 195.36/32.37  | | | | | | |   (66)  all_56_11 = e1 & op(e1, e0) = e1
% 195.36/32.37  | | | | | | | 
% 195.36/32.37  | | | | | | | REF_CLOSE: (52), (63), (66) are inconsistent by sub-proof #500.
% 195.36/32.37  | | | | | | | 
% 195.36/32.37  | | | | | | Case 2:
% 195.36/32.37  | | | | | | | 
% 195.36/32.37  | | | | | | |   (67)  all_56_15 = e1 & op(e0, e0) = e1
% 195.36/32.37  | | | | | | | 
% 195.36/32.37  | | | | | | | ALPHA: (67) implies:
% 195.36/32.37  | | | | | | |   (68)  op(e0, e0) = e1
% 195.36/32.37  | | | | | | | 
% 195.36/32.37  | | | | | | | REF_CLOSE: (6), (17), (29), (68) are inconsistent by sub-proof
% 195.36/32.37  | | | | | | |            #499.
% 195.36/32.37  | | | | | | | 
% 195.36/32.37  | | | | | | End of split
% 195.36/32.37  | | | | | | 
% 195.36/32.37  | | | | | End of split
% 195.36/32.37  | | | | | 
% 195.36/32.37  | | | | End of split
% 195.36/32.37  | | | | 
% 195.36/32.37  | | | End of split
% 195.36/32.37  | | | 
% 195.36/32.37  | | Case 2:
% 195.36/32.37  | | | 
% 195.36/32.37  | | |   (69)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.36/32.37  | | | 
% 195.36/32.37  | | | REF_CLOSE: (11), (19), (37), (41), (69) are inconsistent by sub-proof
% 195.36/32.37  | | |            #1651.
% 195.36/32.37  | | | 
% 195.36/32.37  | | End of split
% 195.36/32.37  | | 
% 195.36/32.37  | End of split
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #499 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (2)  op(e0, e0) = all_57_15
% 195.36/32.37    (3)  op(e0, e0) = e1
% 195.36/32.37    (4)   ~ (all_57_15 = e1)
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | GROUND_INST: instantiating (1) with e1, all_57_15, e0, e0, simplifying with
% 195.36/32.37  |              (2), (3) gives:
% 195.36/32.37  |   (5)  all_57_15 = e1
% 195.36/32.37  | 
% 195.36/32.37  | REDUCE: (4), (5) imply:
% 195.36/32.37  |   (6)  $false
% 195.36/32.37  | 
% 195.36/32.37  | CLOSE: (6) is inconsistent.
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #500 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)  all_56_11 = e1 & op(e1, e0) = e1
% 195.36/32.37    (2)  all_56_11 = e3
% 195.36/32.37    (3)   ~ (e3 = e1)
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | ALPHA: (1) implies:
% 195.36/32.37  |   (4)  all_56_11 = e1
% 195.36/32.37  | 
% 195.36/32.37  | COMBINE_EQS: (2), (4) imply:
% 195.36/32.37  |   (5)  e3 = e1
% 195.36/32.37  | 
% 195.36/32.37  | SIMP: (5) implies:
% 195.36/32.37  |   (6)  e3 = e1
% 195.36/32.37  | 
% 195.36/32.37  | REDUCE: (3), (6) imply:
% 195.36/32.37  |   (7)  $false
% 195.36/32.37  | 
% 195.36/32.37  | CLOSE: (7) is inconsistent.
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #501 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)  all_54_2 = all_52_8
% 195.36/32.37    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (3)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.36/32.37    (4)  op(e2, e0) = all_52_13
% 195.36/32.37    (5)   ~ (all_52_13 = e1)
% 195.36/32.37    (6)   ~ (all_52_8 = all_52_12)
% 195.36/32.37    (7)   ~ (all_52_8 = e2)
% 195.36/32.37    (8)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.36/32.37    (9)  op(e3, e0) = all_52_12
% 195.36/32.37    (10)   ~ (all_52_8 = e0)
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | BETA: splitting (3) gives:
% 195.36/32.37  | 
% 195.36/32.37  | Case 1:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (11)  all_56_9 = e1 & op(e3, e0) = e1
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (1), (2), (6), (7), (8), (9), (10), (11) are inconsistent by
% 195.36/32.37  | |            sub-proof #502.
% 195.36/32.37  | | 
% 195.36/32.37  | Case 2:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (12)  all_56_10 = e1 & op(e2, e0) = e1
% 195.36/32.37  | | 
% 195.36/32.37  | | ALPHA: (12) implies:
% 195.36/32.37  | |   (13)  op(e2, e0) = e1
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (2), (4), (5), (13) are inconsistent by sub-proof #1650.
% 195.36/32.37  | | 
% 195.36/32.37  | End of split
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #502 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)  all_54_2 = all_52_8
% 195.36/32.37    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (3)   ~ (all_52_8 = all_52_12)
% 195.36/32.37    (4)   ~ (all_52_8 = e2)
% 195.36/32.37    (5)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.36/32.37    (6)  all_56_9 = e1 & op(e3, e0) = e1
% 195.36/32.37    (7)  op(e3, e0) = all_52_12
% 195.36/32.37    (8)   ~ (all_52_8 = e0)
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | ALPHA: (6) implies:
% 195.36/32.37  |   (9)  op(e3, e0) = e1
% 195.36/32.37  | 
% 195.36/32.37  | BETA: splitting (5) gives:
% 195.36/32.37  | 
% 195.36/32.37  | Case 1:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (10)  all_54_2 = e2
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (1), (4), (10) are inconsistent by sub-proof #1761.
% 195.36/32.37  | | 
% 195.36/32.37  | Case 2:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (11)  all_54_2 = e1 | all_54_2 = e0
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (1), (2), (3), (7), (8), (9), (11) are inconsistent by sub-proof
% 195.36/32.37  | |            #503.
% 195.36/32.37  | | 
% 195.36/32.37  | End of split
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #503 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)  all_54_2 = all_52_8
% 195.36/32.37    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (3)  op(e3, e0) = e1
% 195.36/32.37    (4)   ~ (all_52_8 = all_52_12)
% 195.36/32.37    (5)  all_54_2 = e1 | all_54_2 = e0
% 195.36/32.37    (6)  op(e3, e0) = all_52_12
% 195.36/32.37    (7)   ~ (all_52_8 = e0)
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | BETA: splitting (5) gives:
% 195.36/32.37  | 
% 195.36/32.37  | Case 1:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (8)  all_54_2 = e1
% 195.36/32.37  | | 
% 195.36/32.37  | | COMBINE_EQS: (1), (8) imply:
% 195.36/32.37  | |   (9)  all_52_8 = e1
% 195.36/32.37  | | 
% 195.36/32.37  | | SIMP: (9) implies:
% 195.36/32.37  | |   (10)  all_52_8 = e1
% 195.36/32.37  | | 
% 195.36/32.37  | | REDUCE: (4), (10) imply:
% 195.36/32.37  | |   (11)   ~ (all_52_12 = e1)
% 195.36/32.37  | | 
% 195.36/32.37  | | SIMP: (11) implies:
% 195.36/32.37  | |   (12)   ~ (all_52_12 = e1)
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (2), (3), (6), (12) are inconsistent by sub-proof #1949.
% 195.36/32.37  | | 
% 195.36/32.37  | Case 2:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (13)  all_54_2 = e0
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (1), (7), (13) are inconsistent by sub-proof #1389.
% 195.36/32.37  | | 
% 195.36/32.37  | End of split
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #504 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)   ~ (e3 = e2)
% 195.36/32.37    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (3)  op(e2, e2) = e1
% 195.36/32.37    (4)  op(e0, e0) = all_57_15
% 195.36/32.37    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.36/32.37             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.36/32.37           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.36/32.37           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.36/32.37             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.36/32.37           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.36/32.37           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.36/32.37    (6)  op(e1, e1) = e2
% 195.36/32.37    (7)  op(e0, e0) = e2
% 195.36/32.37    (8)   ~ (e3 = e1)
% 195.36/32.37  
% 195.36/32.37  Begin of proof
% 195.36/32.37  | 
% 195.36/32.37  | BETA: splitting (5) gives:
% 195.36/32.37  | 
% 195.36/32.37  | Case 1:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (9)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.36/32.37  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.36/32.37  | |        $i(all_57_0)
% 195.36/32.37  | | 
% 195.36/32.37  | | ALPHA: (9) implies:
% 195.36/32.37  | |   (10)  op(e2, e2) = e3
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (2), (3), (8), (10) are inconsistent by sub-proof #1679.
% 195.36/32.37  | | 
% 195.36/32.37  | Case 2:
% 195.36/32.37  | | 
% 195.36/32.37  | |   (11)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 195.36/32.37  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 195.36/32.37  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.36/32.37  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.36/32.37  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.36/32.37  | | 
% 195.36/32.37  | | REF_CLOSE: (1), (2), (4), (6), (7), (11) are inconsistent by sub-proof #530.
% 195.36/32.37  | | 
% 195.36/32.37  | End of split
% 195.36/32.37  | 
% 195.36/32.37  End of proof
% 195.36/32.37  
% 195.36/32.37  Sub-proof #505 shows that the following formulas are inconsistent:
% 195.36/32.37  ----------------------------------------------------------------
% 195.36/32.37    (1)   ~ (all_14_2 = e1)
% 195.36/32.37    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.37    (3)   ~ (all_52_3 = all_14_2)
% 195.36/32.37    (4)  op(e2, e2) = e1
% 195.36/32.37    (5)  op(e0, e3) = all_52_3
% 195.36/32.38    (6)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.36/32.38             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.36/32.38           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.36/32.38           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.36/32.38             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.36/32.38           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.36/32.38           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.36/32.38           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.36/32.38           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.36/32.38           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.36/32.38           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.36/32.38         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.36/32.38             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.36/32.38           $i(all_57_7))
% 195.36/32.38    (7)  op(e0, e1) = all_52_11
% 195.36/32.38    (8)  op(e3, e3) = e3
% 195.36/32.38    (9)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 195.36/32.38    (10)   ~ (all_14_2 = e2)
% 195.36/32.38    (11)  all_54_15 = all_14_2
% 195.36/32.38    (12)   ~ (all_52_11 = all_14_2)
% 195.36/32.38    (13)   ~ (all_52_7 = all_14_2)
% 195.36/32.38    (14)   ~ (e3 = e1)
% 195.36/32.38    (15)  op(e0, e2) = all_52_7
% 195.36/32.38  
% 195.36/32.38  Begin of proof
% 195.36/32.38  | 
% 195.36/32.38  | BETA: splitting (9) gives:
% 195.36/32.38  | 
% 195.36/32.38  | Case 1:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (16)  all_54_15 = e2
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (10), (11), (16) are inconsistent by sub-proof #1648.
% 195.36/32.38  | | 
% 195.36/32.38  | Case 2:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (17)  all_54_15 = e1 | all_54_15 = e0
% 195.36/32.38  | | 
% 195.36/32.38  | | BETA: splitting (17) gives:
% 195.36/32.38  | | 
% 195.36/32.38  | | Case 1:
% 195.36/32.38  | | | 
% 195.36/32.38  | | |   (18)  all_54_15 = e1
% 195.36/32.38  | | | 
% 195.36/32.38  | | | REF_CLOSE: (1), (11), (18) are inconsistent by sub-proof #1660.
% 195.36/32.38  | | | 
% 195.36/32.38  | | Case 2:
% 195.36/32.38  | | | 
% 195.36/32.38  | | |   (19)  all_54_15 = e0
% 195.36/32.38  | | | 
% 195.36/32.38  | | | COMBINE_EQS: (11), (19) imply:
% 195.36/32.38  | | |   (20)  all_14_2 = e0
% 195.36/32.38  | | | 
% 195.36/32.38  | | | SIMP: (20) implies:
% 195.36/32.38  | | |   (21)  all_14_2 = e0
% 195.36/32.38  | | | 
% 195.36/32.38  | | | REDUCE: (3), (21) imply:
% 195.36/32.38  | | |   (22)   ~ (all_52_3 = e0)
% 195.36/32.38  | | | 
% 195.36/32.38  | | | REDUCE: (13), (21) imply:
% 195.36/32.38  | | |   (23)   ~ (all_52_7 = e0)
% 195.36/32.38  | | | 
% 195.36/32.38  | | | REDUCE: (12), (21) imply:
% 195.36/32.38  | | |   (24)   ~ (all_52_11 = e0)
% 195.36/32.38  | | | 
% 195.36/32.38  | | | BETA: splitting (6) gives:
% 195.36/32.38  | | | 
% 195.36/32.38  | | | Case 1:
% 195.36/32.38  | | | | 
% 195.36/32.38  | | | |   (25)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.36/32.38  | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.36/32.38  | | | |           op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.36/32.38  | | | |           e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.36/32.38  | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.36/32.38  | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.36/32.38  | | | |           (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.36/32.38  | | | |           op(e0, e2) = e0 & $i(all_57_3))
% 195.36/32.38  | | | | 
% 195.36/32.38  | | | | REF_CLOSE: (2), (4), (5), (14), (15), (22), (23), (25) are inconsistent
% 195.36/32.38  | | | |            by sub-proof #754.
% 195.36/32.38  | | | | 
% 195.36/32.38  | | | Case 2:
% 195.36/32.38  | | | | 
% 195.36/32.38  | | | |   (26)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.36/32.38  | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.36/32.38  | | | |           op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 195.36/32.38  | | | |           e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.36/32.38  | | | |           e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.36/32.38  | | | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.36/32.38  | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.36/32.38  | | | |           op(e0, e1) = e0 & $i(all_57_7))
% 195.36/32.38  | | | | 
% 195.36/32.38  | | | | BETA: splitting (26) gives:
% 195.36/32.38  | | | | 
% 195.36/32.38  | | | | Case 1:
% 195.36/32.38  | | | | | 
% 195.36/32.38  | | | | |   (27)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.36/32.38  | | | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.36/32.38  | | | | |         op(e0, e2) = e0 & $i(all_57_4)
% 195.36/32.38  | | | | | 
% 195.36/32.38  | | | | | ALPHA: (27) implies:
% 195.36/32.38  | | | | |   (28)  op(e0, e2) = e0
% 195.36/32.38  | | | | | 
% 195.36/32.38  | | | | | REF_CLOSE: (2), (15), (23), (28) are inconsistent by sub-proof #818.
% 195.36/32.38  | | | | | 
% 195.36/32.38  | | | | Case 2:
% 195.36/32.38  | | | | | 
% 195.36/32.38  | | | | |   (29)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.36/32.38  | | | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.36/32.38  | | | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.36/32.38  | | | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2)
% 195.36/32.38  | | | | |           = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.36/32.38  | | | | |           $i(all_57_7))
% 195.36/32.38  | | | | | 
% 195.36/32.38  | | | | | REF_CLOSE: (2), (7), (8), (14), (24), (29) are inconsistent by
% 195.36/32.38  | | | | |            sub-proof #1634.
% 195.36/32.38  | | | | | 
% 195.36/32.38  | | | | End of split
% 195.36/32.38  | | | | 
% 195.36/32.38  | | | End of split
% 195.36/32.38  | | | 
% 195.36/32.38  | | End of split
% 195.36/32.38  | | 
% 195.36/32.38  | End of split
% 195.36/32.38  | 
% 195.36/32.38  End of proof
% 195.36/32.38  
% 195.36/32.38  Sub-proof #506 shows that the following formulas are inconsistent:
% 195.36/32.38  ----------------------------------------------------------------
% 195.36/32.38    (1)  op(e3, e0) = e3
% 195.36/32.38    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.38    (3)  op(e3, e3) = e1
% 195.36/32.38    (4)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.36/32.38           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.36/32.38           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.36/32.38                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.36/32.38               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.36/32.38               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.36/32.38           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.36/32.38           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.36/32.38             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.38           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.36/32.38               = all_57_1 & $i(all_57_1))))
% 195.36/32.38    (5)   ~ (e1 = e0)
% 195.36/32.38    (6)   ~ (e3 = e0)
% 195.36/32.38  
% 195.36/32.38  Begin of proof
% 195.36/32.38  | 
% 195.36/32.38  | BETA: splitting (4) gives:
% 195.36/32.38  | 
% 195.36/32.38  | Case 1:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.36/32.38  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.36/32.38  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 195.36/32.38  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 195.36/32.38  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.36/32.38  | |            all_57_13 & $i(all_57_13)))
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (7) implies:
% 195.36/32.38  | |   (8)  op(e3, e3) = e0
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1937.
% 195.36/32.38  | | 
% 195.36/32.38  | Case 2:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 195.36/32.38  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.36/32.38  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 195.36/32.38  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.36/32.38  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 195.36/32.38  | |            & $i(all_57_1)))
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (9) implies:
% 195.36/32.38  | |   (10)  op(e3, e0) = e0
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1793.
% 195.36/32.38  | | 
% 195.36/32.38  | End of split
% 195.36/32.38  | 
% 195.36/32.38  End of proof
% 195.36/32.38  
% 195.36/32.38  Sub-proof #507 shows that the following formulas are inconsistent:
% 195.36/32.38  ----------------------------------------------------------------
% 195.36/32.38    (1)   ~ (e3 = e2)
% 195.36/32.38    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.38    (3)   ~ (all_52_14 = e3)
% 195.36/32.38    (4)  op(e1, e0) = all_52_14
% 195.36/32.38    (5)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.36/32.38    (6)  op(e1, e1) = e2
% 195.36/32.38  
% 195.36/32.38  Begin of proof
% 195.36/32.38  | 
% 195.36/32.38  | BETA: splitting (5) gives:
% 195.36/32.38  | 
% 195.36/32.38  | Case 1:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (7) implies:
% 195.36/32.38  | |   (8)  op(e1, e1) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1777.
% 195.36/32.38  | | 
% 195.36/32.38  | Case 2:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (9)  all_56_11 = e3 & op(e1, e0) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1407.
% 195.36/32.38  | | 
% 195.36/32.38  | End of split
% 195.36/32.38  | 
% 195.36/32.38  End of proof
% 195.36/32.38  
% 195.36/32.38  Sub-proof #508 shows that the following formulas are inconsistent:
% 195.36/32.38  ----------------------------------------------------------------
% 195.36/32.38    (1)   ~ (all_52_7 = e0)
% 195.36/32.38    (2)  op(e1, e2) = all_52_6
% 195.36/32.38    (3)   ~ (all_52_6 = all_52_7)
% 195.36/32.38    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.38    (5)  all_54_13 = all_52_7
% 195.36/32.38    (6)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.36/32.38           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.36/32.38           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.36/32.38                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 195.36/32.38               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.36/32.38               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.36/32.38           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 195.36/32.38           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.38               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.38           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 195.36/32.38               = all_57_5 & $i(all_57_5))))
% 195.36/32.38    (7)   ~ (e1 = e0)
% 195.36/32.38    (8)  all_54_13 = e1 | all_54_13 = e0
% 195.36/32.38    (9)  op(e2, e2) = e0
% 195.36/32.38  
% 195.36/32.38  Begin of proof
% 195.36/32.38  | 
% 195.36/32.38  | BETA: splitting (6) gives:
% 195.36/32.38  | 
% 195.36/32.38  | Case 1:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (10)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.36/32.38  | |         op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.36/32.38  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 195.36/32.38  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 =
% 195.36/32.38  | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.36/32.38  | |             all_57_8 & $i(all_57_8)))
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (10) implies:
% 195.36/32.38  | |   (11)  op(e2, e2) = e1
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (4), (7), (9), (11) are inconsistent by sub-proof #1909.
% 195.36/32.38  | | 
% 195.36/32.38  | Case 2:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (12)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 195.36/32.38  | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.36/32.38  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 195.36/32.38  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 195.36/32.38  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.36/32.38  | |             all_57_5 & $i(all_57_5)))
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (12) implies:
% 195.36/32.38  | |   (13)  op(e1, e2) = e1
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (13) are inconsistent by sub-proof
% 195.36/32.38  | |            #509.
% 195.36/32.38  | | 
% 195.36/32.38  | End of split
% 195.36/32.38  | 
% 195.36/32.38  End of proof
% 195.36/32.38  
% 195.36/32.38  Sub-proof #509 shows that the following formulas are inconsistent:
% 195.36/32.38  ----------------------------------------------------------------
% 195.36/32.38    (1)   ~ (all_52_7 = e0)
% 195.36/32.38    (2)  op(e1, e2) = all_52_6
% 195.36/32.38    (3)   ~ (all_52_6 = all_52_7)
% 195.36/32.38    (4)  op(e1, e2) = e1
% 195.36/32.38    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.38    (6)  all_54_13 = all_52_7
% 195.36/32.38    (7)  all_54_13 = e1 | all_54_13 = e0
% 195.36/32.38  
% 195.36/32.38  Begin of proof
% 195.36/32.38  | 
% 195.36/32.38  | BETA: splitting (7) gives:
% 195.36/32.38  | 
% 195.36/32.38  | Case 1:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (8)  all_54_13 = e1
% 195.36/32.38  | | 
% 195.36/32.38  | | COMBINE_EQS: (6), (8) imply:
% 195.36/32.38  | |   (9)  all_52_7 = e1
% 195.36/32.38  | | 
% 195.36/32.38  | | SIMP: (9) implies:
% 195.36/32.38  | |   (10)  all_52_7 = e1
% 195.36/32.38  | | 
% 195.36/32.38  | | REDUCE: (3), (10) imply:
% 195.36/32.38  | |   (11)   ~ (all_52_6 = e1)
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (2), (4), (5), (11) are inconsistent by sub-proof #1970.
% 195.36/32.38  | | 
% 195.36/32.38  | Case 2:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (12)  all_54_13 = e0
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (1), (6), (12) are inconsistent by sub-proof #1653.
% 195.36/32.38  | | 
% 195.36/32.38  | End of split
% 195.36/32.38  | 
% 195.36/32.38  End of proof
% 195.36/32.38  
% 195.36/32.38  Sub-proof #510 shows that the following formulas are inconsistent:
% 195.36/32.38  ----------------------------------------------------------------
% 195.36/32.38    (1)  op(e1, e3) = all_52_2
% 195.36/32.38    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.38    (3)   ~ (all_52_2 = e3)
% 195.36/32.38    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.36/32.38           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.36/32.38           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.36/32.38                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.36/32.38               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.36/32.38               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.36/32.38           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 195.36/32.38           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.36/32.38               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.38           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.36/32.38               = all_57_2 & $i(all_57_2))))
% 195.36/32.38    (5)   ~ (all_52_2 = e1)
% 195.36/32.38  
% 195.36/32.38  Begin of proof
% 195.36/32.38  | 
% 195.36/32.38  | BETA: splitting (4) gives:
% 195.36/32.38  | 
% 195.36/32.38  | Case 1:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (6)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.36/32.38  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.36/32.38  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.36/32.38  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 195.36/32.38  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 195.36/32.38  | |            & $i(all_57_8)))
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (6) implies:
% 195.36/32.38  | |   (7)  op(e1, e3) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1179.
% 195.36/32.38  | | 
% 195.36/32.38  | Case 2:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (8)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.36/32.38  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.36/32.38  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 195.36/32.38  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.36/32.38  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 195.36/32.38  | |            & $i(all_57_2)))
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (8) implies:
% 195.36/32.38  | |   (9)  op(e1, e3) = e1
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1974.
% 195.36/32.38  | | 
% 195.36/32.38  | End of split
% 195.36/32.38  | 
% 195.36/32.38  End of proof
% 195.36/32.38  
% 195.36/32.38  Sub-proof #511 shows that the following formulas are inconsistent:
% 195.36/32.38  ----------------------------------------------------------------
% 195.36/32.38    (1)  all_56_6 = e3 & op(e1, e3) = e3
% 195.36/32.38    (2)   ~ (all_52_13 = e2)
% 195.36/32.38    (3)   ~ (e3 = e2)
% 195.36/32.38    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.38    (5)  op(e2, e1) = e1
% 195.36/32.38    (6)  op(e2, e2) = all_4_2
% 195.36/32.38    (7)  op(e2, e0) = all_52_13
% 195.36/32.38    (8)  all_56_6 = e0
% 195.36/32.38    (9)  all_56_10 = e3
% 195.36/32.38    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.36/32.38          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.36/32.38    (11)   ~ (all_4_2 = e3)
% 195.36/32.38    (12)  all_56_5 = e1
% 195.36/32.38    (13)   ~ (e2 = e1)
% 195.36/32.38    (14)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.36/32.38          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.36/32.38    (15)  op(e2, e2) = e0
% 195.36/32.38    (16)   ~ (e3 = e1)
% 195.36/32.38    (17)   ~ (e2 = e0)
% 195.36/32.38    (18)   ~ (e3 = e0)
% 195.36/32.38  
% 195.36/32.38  Begin of proof
% 195.36/32.38  | 
% 195.36/32.38  | ALPHA: (1) implies:
% 195.36/32.38  |   (19)  all_56_6 = e3
% 195.36/32.38  | 
% 195.36/32.38  | COMBINE_EQS: (8), (19) imply:
% 195.36/32.38  |   (20)  e3 = e0
% 195.36/32.38  | 
% 195.36/32.38  | SIMP: (20) implies:
% 195.36/32.38  |   (21)  e3 = e0
% 195.36/32.38  | 
% 195.36/32.38  | COMBINE_EQS: (9), (21) imply:
% 195.36/32.38  |   (22)  all_56_10 = e0
% 195.36/32.38  | 
% 195.36/32.38  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (10), (11), (12), (13), (14), (15),
% 195.36/32.38  |            (16), (17), (18), (22) are inconsistent by sub-proof #1412.
% 195.36/32.38  | 
% 195.36/32.38  End of proof
% 195.36/32.38  
% 195.36/32.38  Sub-proof #512 shows that the following formulas are inconsistent:
% 195.36/32.38  ----------------------------------------------------------------
% 195.36/32.38    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 195.36/32.38    (2)   ~ (e3 = e2)
% 195.36/32.38    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.38    (4)  op(e2, e2) = all_4_2
% 195.36/32.38    (5)   ~ (all_4_2 = e3)
% 195.36/32.38    (6)  op(e2, e3) = e2
% 195.36/32.38  
% 195.36/32.38  Begin of proof
% 195.36/32.38  | 
% 195.36/32.38  | BETA: splitting (1) gives:
% 195.36/32.38  | 
% 195.36/32.38  | Case 1:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (7) implies:
% 195.36/32.38  | |   (8)  op(e2, e3) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1869.
% 195.36/32.38  | | 
% 195.36/32.38  | Case 2:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (9) implies:
% 195.36/32.38  | |   (10)  op(e2, e2) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (3), (4), (5), (10) are inconsistent by sub-proof #1975.
% 195.36/32.38  | | 
% 195.36/32.38  | End of split
% 195.36/32.38  | 
% 195.36/32.38  End of proof
% 195.36/32.38  
% 195.36/32.38  Sub-proof #513 shows that the following formulas are inconsistent:
% 195.36/32.38  ----------------------------------------------------------------
% 195.36/32.38    (1)   ~ (e3 = e2)
% 195.36/32.38    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.38    (3)  op(e3, e3) = e1
% 195.36/32.38    (4)  op(e3, e2) = e2
% 195.36/32.38    (5)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 195.36/32.38    (6)   ~ (e3 = e1)
% 195.36/32.38  
% 195.36/32.38  Begin of proof
% 195.36/32.38  | 
% 195.36/32.38  | BETA: splitting (5) gives:
% 195.36/32.38  | 
% 195.36/32.38  | Case 1:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (7) implies:
% 195.36/32.38  | |   (8)  op(e3, e3) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1966.
% 195.36/32.38  | | 
% 195.36/32.38  | Case 2:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (9)  all_56_1 = e3 & op(e3, e2) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (9) implies:
% 195.36/32.38  | |   (10)  op(e3, e2) = e3
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1927.
% 195.36/32.38  | | 
% 195.36/32.38  | End of split
% 195.36/32.38  | 
% 195.36/32.38  End of proof
% 195.36/32.38  
% 195.36/32.38  Sub-proof #514 shows that the following formulas are inconsistent:
% 195.36/32.38  ----------------------------------------------------------------
% 195.36/32.38    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.38    (2)  op(e0, e1) = all_52_11
% 195.36/32.38    (3)  op(e1, e1) = e2
% 195.36/32.38    (4)   ~ (all_52_11 = e0)
% 195.36/32.38    (5)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.36/32.38    (6)   ~ (e2 = e0)
% 195.36/32.38  
% 195.36/32.38  Begin of proof
% 195.36/32.38  | 
% 195.36/32.38  | BETA: splitting (5) gives:
% 195.36/32.38  | 
% 195.36/32.38  | Case 1:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (7) implies:
% 195.36/32.38  | |   (8)  op(e1, e1) = e0
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1821.
% 195.36/32.38  | | 
% 195.36/32.38  | Case 2:
% 195.36/32.38  | | 
% 195.36/32.38  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 195.36/32.38  | | 
% 195.36/32.38  | | ALPHA: (9) implies:
% 195.36/32.38  | |   (10)  op(e0, e1) = e0
% 195.36/32.38  | | 
% 195.36/32.38  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1931.
% 195.36/32.38  | | 
% 195.36/32.38  | End of split
% 195.36/32.38  | 
% 195.36/32.38  End of proof
% 195.36/32.38  
% 195.36/32.38  Sub-proof #515 shows that the following formulas are inconsistent:
% 195.36/32.38  ----------------------------------------------------------------
% 195.36/32.38    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.36/32.38         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.36/32.38    (2)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.36/32.38         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.36/32.38    (3)   ~ (all_52_7 = e0)
% 195.36/32.38    (4)  op(all_42_1, e3) = all_42_0
% 195.36/32.38    (5)  op(e1, e3) = all_52_2
% 195.36/32.38    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.36/32.38           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.36/32.38           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.36/32.38                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.36/32.38               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.36/32.38               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.36/32.38           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.36/32.38           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.36/32.38               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.36/32.38           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.36/32.38               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.36/32.38           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.36/32.38           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.36/32.38               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.38               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.36/32.38               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.38         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.36/32.38           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.36/32.38           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.36/32.38               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.36/32.38             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.38         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.36/32.38           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.36/32.38           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.36/32.38                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.36/32.38               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.36/32.38               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.36/32.38           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.36/32.38           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.36/32.38             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.38           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.36/32.38               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.36/32.38           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.36/32.38           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.36/32.38               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.36/32.38               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.36/32.38               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.38         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.36/32.38           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.36/32.38           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.36/32.38               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.36/32.38             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.38         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.36/32.38           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.36/32.38           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.36/32.38                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.36/32.38               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.36/32.38               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.36/32.38           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.36/32.38             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.38               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.38           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.36/32.38               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.36/32.38           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.36/32.38           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.36/32.38               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.38               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.38               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.36/32.38         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.36/32.38           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.36/32.38           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.36/32.38               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.36/32.38             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.36/32.38         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.36/32.38             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.38           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.36/32.38               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.36/32.38             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.38         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.36/32.38             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.38           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.36/32.38               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.36/32.38             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.38         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.36/32.38             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.38           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.36/32.38               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.36/32.38             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.38         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.36/32.38             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.38           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.36/32.38               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.36/32.38             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.36/32.38    (7)  all_54_4 = all_52_1
% 195.36/32.38    (8)   ~ (all_52_3 = e1)
% 195.36/32.38    (9)  all_54_7 = all_52_13
% 195.36/32.38    (10)   ~ (all_52_14 = e0)
% 195.36/32.38    (11)  op(e0, e0) = all_14_2
% 195.36/32.38    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.36/32.38          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.36/32.38    (13)   ~ (all_52_1 = e0)
% 195.36/32.38    (14)   ~ (all_14_2 = e1)
% 195.36/32.38    (15)  all_54_6 = all_52_9
% 195.36/32.38    (16)   ~ (all_52_1 = all_52_9)
% 195.36/32.38    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.36/32.38          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.36/32.38    (18)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.36/32.38          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.36/32.38    (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.36/32.38          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.36/32.38    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.36/32.38            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.36/32.38    (21)   ~ (all_42_0 = e2)
% 195.36/32.38    (22)  op(e3, e2) = all_52_4
% 195.36/32.38    (23)  op(e2, e2) = all_4_2
% 195.36/32.38    (24)   ~ (all_52_9 = e0)
% 195.36/32.38    (25)  op(e3, e3) = e1
% 195.36/32.38    (26)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.36/32.38    (27)   ~ (all_52_7 = all_52_11)
% 195.36/32.38    (28)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.36/32.38          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.36/32.38    (29)   ~ (all_52_3 = all_52_7)
% 195.36/32.38    (30)  all_54_12 = all_52_3
% 195.36/32.38    (31)  all_54_13 = all_52_7
% 195.36/32.38    (32)   ~ (all_52_4 = all_52_7)
% 195.36/32.39    (33)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.36/32.39          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.36/32.39            e1)
% 195.36/32.39    (34)   ~ (all_52_4 = e0)
% 195.36/32.39    (35)  op(e0, e3) = all_52_3
% 195.36/32.39    (36)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.36/32.39          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.36/32.39            e2)
% 195.36/32.39    (37)   ~ (all_52_14 = e2)
% 195.36/32.39    (38)  op(e2, e0) = all_52_13
% 195.36/32.39    (39)  op(e1, e0) = all_52_14
% 195.36/32.39    (40)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.36/32.39          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.36/32.39    (41)   ~ (all_52_4 = all_52_12)
% 195.36/32.39    (42)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.36/32.39              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.36/32.39            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.36/32.39            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.36/32.39            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.36/32.39            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.36/32.39            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.36/32.39            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.36/32.39            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.36/32.39            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.36/32.39            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.36/32.39            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.36/32.39            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.36/32.39            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.36/32.39            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.36/32.39            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.36/32.39            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.36/32.39            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.36/32.39            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.36/32.39            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.36/32.39            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.36/32.39            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.36/32.39            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.36/32.39            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.36/32.39            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.36/32.39            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.36/32.39            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.36/32.39            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.36/32.39            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.36/32.39            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.36/32.39            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.36/32.39            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.36/32.39            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.36/32.39            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.36/32.39            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.36/32.39            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.36/32.39            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.36/32.39            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.36/32.39            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.36/32.39            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.36/32.39            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.36/32.39            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.36/32.39            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.36/32.39            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.36/32.39            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.36/32.39            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.36/32.39            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.36/32.39            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.36/32.39              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.36/32.39            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.36/32.39            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.36/32.39              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.36/32.39            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.36/32.39            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.36/32.39                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.36/32.39                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.36/32.39                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.36/32.39                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.36/32.39                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.36/32.39                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.36/32.39                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.36/32.39              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.36/32.39                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.36/32.39                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.36/32.39                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.36/32.39                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.36/32.39                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.36/32.39                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.36/32.39                $i(all_57_7))))
% 195.36/32.39    (43)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 195.36/32.39          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 195.36/32.39    (44)   ~ (all_52_9 = e2)
% 195.36/32.39    (45)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.36/32.39    (46)   ~ (all_52_8 = e1)
% 195.36/32.39    (47)  op(e0, e1) = all_52_11
% 195.36/32.39    (48)   ~ (all_52_1 = e1)
% 195.36/32.39    (49)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.36/32.39          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.36/32.39    (50)   ~ (all_14_2 = e3)
% 195.36/32.39    (51)   ~ (all_4_2 = e3)
% 195.36/32.39    (52)   ~ (all_52_8 = all_52_12)
% 195.36/32.39    (53)  all_54_15 = all_14_2
% 195.36/32.39    (54)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.36/32.39          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.36/32.39    (55)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.36/32.39    (56)  op(e1, e1) = e2
% 195.36/32.39    (57)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.36/32.39          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.36/32.39    (58)   ~ (e1 = e0)
% 195.36/32.39    (59)  op(e3, e1) = all_42_1
% 195.36/32.39    (60)   ~ (all_52_1 = all_52_13)
% 195.36/32.39    (61)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.36/32.39    (62)   ~ (all_52_4 = e1)
% 195.36/32.39    (63)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.36/32.39          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.36/32.39    (64)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.36/32.39          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.36/32.39    (65)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.36/32.39          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.36/32.39    (66)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.36/32.39    (67)   ~ (all_52_13 = all_52_14)
% 195.36/32.39    (68)  op(e3, e1) = e0
% 195.36/32.39    (69)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.36/32.39    (70)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.36/32.39              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.36/32.39                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.36/32.39                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.36/32.39    (71)   ~ (e2 = e1)
% 195.36/32.39    (72)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.36/32.39          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.36/32.39    (73)  all_54_14 = all_52_11
% 195.36/32.39    (74)   ~ (all_52_11 = e0)
% 195.36/32.39    (75)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.36/32.39    (76)   ~ (all_52_3 = e0)
% 195.36/32.39    (77)   ~ (all_52_2 = e1)
% 195.36/32.39    (78)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.36/32.39          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.36/32.39    (79)  op(e3, e0) = all_52_12
% 195.36/32.39    (80)  op(e2, e1) = all_52_9
% 195.36/32.39    (81)  op(e0, e0) = e0
% 195.36/32.39    (82)  all_56_4 = e0
% 195.36/32.39    (83)   ~ (all_52_13 = e0)
% 195.36/32.39    (84)   ~ (all_52_1 = all_52_3)
% 195.36/32.39    (85)  op(e3, e1) = all_52_8
% 195.36/32.39    (86)  op(e2, e2) = e0
% 195.36/32.39    (87)   ~ (all_52_9 = all_52_13)
% 195.36/32.39    (88)  all_54_1 = all_52_4
% 195.36/32.39    (89)  all_54_15 = e1 | all_54_15 = e0
% 195.36/32.39    (90)  op(e0, e2) = all_52_7
% 195.36/32.39    (91)   ~ (e2 = e0)
% 195.36/32.39    (92)  op(e2, e3) = all_52_1
% 195.36/32.39    (93)   ~ (all_52_3 = all_52_11)
% 195.36/32.39    (94)   ~ (all_52_11 = e2)
% 195.36/32.39    (95)   ~ (all_52_9 = all_52_11)
% 195.36/32.39  
% 195.36/32.39  Begin of proof
% 195.36/32.39  | 
% 195.36/32.39  | GROUND_INST: instantiating (20) with e0, all_42_1, e1, e3, simplifying with
% 195.36/32.39  |              (59), (68) gives:
% 195.36/32.39  |   (96)  all_42_1 = e0
% 195.36/32.39  | 
% 195.36/32.39  | REDUCE: (4), (96) imply:
% 195.36/32.39  |   (97)  op(e0, e3) = all_42_0
% 195.36/32.39  | 
% 195.36/32.39  | GROUND_INST: instantiating (20) with all_52_3, all_42_0, e3, e0, simplifying
% 195.36/32.39  |              with (35), (97) gives:
% 195.36/32.39  |   (98)  all_52_3 = all_42_0
% 195.36/32.39  | 
% 195.36/32.39  | COMBINE_EQS: (30), (98) imply:
% 195.36/32.39  |   (99)  all_54_12 = all_42_0
% 195.36/32.39  | 
% 195.36/32.39  | REDUCE: (84), (98) imply:
% 195.36/32.39  |   (100)   ~ (all_52_1 = all_42_0)
% 195.36/32.39  | 
% 195.36/32.39  | REDUCE: (29), (98) imply:
% 195.36/32.39  |   (101)   ~ (all_52_7 = all_42_0)
% 195.36/32.39  | 
% 195.36/32.39  | SIMP: (101) implies:
% 195.36/32.39  |   (102)   ~ (all_52_7 = all_42_0)
% 195.36/32.39  | 
% 195.36/32.39  | REDUCE: (93), (98) imply:
% 195.36/32.39  |   (103)   ~ (all_52_11 = all_42_0)
% 195.36/32.39  | 
% 195.36/32.39  | SIMP: (103) implies:
% 195.36/32.39  |   (104)   ~ (all_52_11 = all_42_0)
% 195.36/32.39  | 
% 195.36/32.39  | BETA: splitting (36) gives:
% 195.36/32.39  | 
% 195.36/32.39  | Case 1:
% 195.36/32.39  | | 
% 195.36/32.39  | |   (105)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 195.36/32.39  | |            e2)
% 195.36/32.39  | | 
% 195.36/32.39  | | BETA: splitting (105) gives:
% 195.36/32.39  | | 
% 195.36/32.39  | | Case 1:
% 195.36/32.39  | | | 
% 195.36/32.39  | | |   (106)  all_56_12 = e2 & op(e0, e3) = e2
% 195.36/32.39  | | | 
% 195.36/32.39  | | | REF_CLOSE: (20), (21), (97), (106) are inconsistent by sub-proof #1835.
% 195.36/32.39  | | | 
% 195.36/32.39  | | Case 2:
% 195.36/32.39  | | | 
% 195.36/32.39  | | |   (107)  all_56_13 = e2 & op(e0, e2) = e2
% 195.36/32.39  | | | 
% 195.36/32.39  | | | ALPHA: (107) implies:
% 195.36/32.39  | | |   (108)  all_56_13 = e2
% 195.36/32.39  | | | 
% 195.36/32.39  | | | BETA: splitting (26) gives:
% 195.36/32.39  | | | 
% 195.36/32.39  | | | Case 1:
% 195.36/32.39  | | | | 
% 195.36/32.39  | | | |   (109)  all_54_12 = e3
% 195.36/32.39  | | | | 
% 195.36/32.39  | | | | COMBINE_EQS: (99), (109) imply:
% 195.36/32.39  | | | |   (110)  all_42_0 = e3
% 195.36/32.39  | | | | 
% 195.36/32.39  | | | | SIMP: (110) implies:
% 195.36/32.39  | | | |   (111)  all_42_0 = e3
% 195.36/32.39  | | | | 
% 195.36/32.39  | | | | REDUCE: (100), (111) imply:
% 195.36/32.39  | | | |   (112)   ~ (all_52_1 = e3)
% 195.36/32.39  | | | | 
% 195.36/32.39  | | | | REDUCE: (102), (111) imply:
% 195.36/32.39  | | | |   (113)   ~ (all_52_7 = e3)
% 195.36/32.39  | | | | 
% 195.36/32.39  | | | | REDUCE: (104), (111) imply:
% 195.36/32.39  | | | |   (114)   ~ (all_52_11 = e3)
% 195.36/32.39  | | | | 
% 195.36/32.39  | | | | BETA: splitting (33) gives:
% 195.36/32.39  | | | | 
% 195.36/32.39  | | | | Case 1:
% 195.36/32.39  | | | | | 
% 195.36/32.39  | | | | |   (115)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0,
% 195.36/32.39  | | | | |              e2) = e1)
% 195.36/32.39  | | | | | 
% 195.36/32.39  | | | | | BETA: splitting (115) gives:
% 195.36/32.39  | | | | | 
% 195.36/32.39  | | | | | Case 1:
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | |   (116)  all_56_12 = e1 & op(e0, e3) = e1
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | | ALPHA: (116) implies:
% 195.36/32.39  | | | | | |   (117)  op(e0, e3) = e1
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | | REF_CLOSE: (8), (20), (35), (117) are inconsistent by sub-proof
% 195.36/32.39  | | | | | |            #1950.
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | Case 2:
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | |   (118)  all_56_13 = e1 & op(e0, e2) = e1
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | | REF_CLOSE: (71), (108), (118) are inconsistent by sub-proof #1205.
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | End of split
% 195.36/32.39  | | | | | 
% 195.36/32.39  | | | | Case 2:
% 195.36/32.39  | | | | | 
% 195.36/32.39  | | | | |   (119)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 195.36/32.39  | | | | |              e0) = e1)
% 195.36/32.39  | | | | | 
% 195.36/32.39  | | | | | BETA: splitting (119) gives:
% 195.36/32.39  | | | | | 
% 195.36/32.39  | | | | | Case 1:
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | |   (120)  all_56_14 = e1 & op(e0, e1) = e1
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | | ALPHA: (120) implies:
% 195.36/32.39  | | | | | |   (121)  all_56_14 = e1
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | | BETA: splitting (66) gives:
% 195.36/32.39  | | | | | | 
% 195.36/32.39  | | | | | | Case 1:
% 195.36/32.39  | | | | | | | 
% 195.36/32.39  | | | | | | |   (122)  all_54_14 = e3
% 195.36/32.39  | | | | | | | 
% 195.36/32.39  | | | | | | | REF_CLOSE: (73), (114), (122) are inconsistent by sub-proof #1260.
% 195.36/32.39  | | | | | | | 
% 195.36/32.39  | | | | | | Case 2:
% 195.36/32.39  | | | | | | | 
% 195.36/32.39  | | | | | | |   (123)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.36/32.39  | | | | | | | 
% 195.36/32.39  | | | | | | | BETA: splitting (123) gives:
% 195.36/32.39  | | | | | | | 
% 195.36/32.39  | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | 
% 195.36/32.39  | | | | | | | |   (124)  all_54_14 = e2
% 195.36/32.39  | | | | | | | | 
% 195.36/32.39  | | | | | | | | REF_CLOSE: (73), (94), (124) are inconsistent by sub-proof
% 195.36/32.39  | | | | | | | |            #1740.
% 195.36/32.39  | | | | | | | | 
% 195.36/32.39  | | | | | | | Case 2:
% 195.36/32.39  | | | | | | | | 
% 195.36/32.39  | | | | | | | |   (125)  all_54_14 = e1 | all_54_14 = e0
% 195.36/32.39  | | | | | | | | 
% 195.36/32.39  | | | | | | | | BETA: splitting (61) gives:
% 195.36/32.39  | | | | | | | | 
% 195.36/32.39  | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | 
% 195.36/32.39  | | | | | | | | |   (126)  all_54_4 = e3
% 195.36/32.39  | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | REF_CLOSE: (7), (112), (126) are inconsistent by sub-proof
% 195.36/32.39  | | | | | | | | |            #1409.
% 195.36/32.39  | | | | | | | | | 
% 195.36/32.39  | | | | | | | | Case 2:
% 195.36/32.39  | | | | | | | | | 
% 195.36/32.39  | | | | | | | | |   (127)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.36/32.39  | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | BETA: splitting (125) gives:
% 195.36/32.39  | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | |   (128)  all_54_14 = e1
% 195.36/32.39  | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | COMBINE_EQS: (73), (128) imply:
% 195.36/32.39  | | | | | | | | | |   (129)  all_52_11 = e1
% 195.36/32.39  | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | SIMP: (129) implies:
% 195.36/32.39  | | | | | | | | | |   (130)  all_52_11 = e1
% 195.36/32.39  | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | REDUCE: (27), (130) imply:
% 195.36/32.39  | | | | | | | | | |   (131)   ~ (all_52_7 = e1)
% 195.36/32.39  | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | REDUCE: (95), (130) imply:
% 195.36/32.39  | | | | | | | | | |   (132)   ~ (all_52_9 = e1)
% 195.36/32.39  | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | BETA: splitting (45) gives:
% 195.36/32.39  | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | |   (133)  all_54_6 = e3
% 195.36/32.39  | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | COMBINE_EQS: (15), (133) imply:
% 195.36/32.39  | | | | | | | | | | |   (134)  all_52_9 = e3
% 195.36/32.39  | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | REDUCE: (87), (134) imply:
% 195.36/32.39  | | | | | | | | | | |   (135)   ~ (all_52_13 = e3)
% 195.36/32.39  | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | SIMP: (135) implies:
% 195.36/32.39  | | | | | | | | | | |   (136)   ~ (all_52_13 = e3)
% 195.36/32.39  | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | REDUCE: (44), (134) imply:
% 195.36/32.39  | | | | | | | | | | |   (137)   ~ (e3 = e2)
% 195.36/32.39  | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | REDUCE: (132), (134) imply:
% 195.36/32.39  | | | | | | | | | | |   (138)   ~ (e3 = e1)
% 195.36/32.39  | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | REDUCE: (24), (134) imply:
% 195.36/32.39  | | | | | | | | | | |   (139)   ~ (e3 = e0)
% 195.36/32.39  | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | BETA: splitting (69) gives:
% 195.36/32.39  | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | |   (140)  all_54_13 = e3
% 195.36/32.39  | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | REF_CLOSE: (31), (113), (140) are inconsistent by sub-proof
% 195.36/32.39  | | | | | | | | | | | |            #1445.
% 195.36/32.39  | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | Case 2:
% 195.36/32.39  | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | |   (141)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.36/32.39  | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | BETA: splitting (65) gives:
% 195.36/32.39  | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | |   (142)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 195.36/32.39  | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 195.36/32.39  | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | BETA: splitting (142) gives:
% 195.36/32.39  | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | |   (143)  all_56_4 = e3 & op(e3, e1) = e3
% 195.36/32.39  | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | REF_CLOSE: (82), (139), (143) are inconsistent by sub-proof
% 195.36/32.39  | | | | | | | | | | | | | |            #1826.
% 195.36/32.39  | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | Case 2:
% 195.36/32.39  | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | |   (144)  all_56_5 = e3 & op(e2, e1) = e3
% 195.36/32.39  | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | ALPHA: (144) implies:
% 195.36/32.39  | | | | | | | | | | | | | |   (145)  all_56_5 = e3
% 195.36/32.39  | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 195.36/32.39  | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | |   (146)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 195.36/32.39  | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 195.36/32.39  | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (58), (62), (86), (146) are
% 195.36/32.39  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1908.
% 195.36/32.39  | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | Case 2:
% 195.36/32.39  | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | |   (147)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 195.36/32.39  | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 195.36/32.39  | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | |   (148)  all_56_7 = e1 & op(e1, e2) = e1
% 195.36/32.39  | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 195.36/32.39  | | | | | | | | | | | | | | | |   (149)  all_56_7 = e1
% 195.36/32.39  | | | | | | | | | | | | | | | |   (150)  op(e1, e2) = e1
% 195.36/32.39  | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | |   (151)  all_54_4 = e2
% 195.36/32.39  | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (151) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | |   (152)  all_52_1 = e2
% 195.36/32.39  | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | REDUCE: (60), (152) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | |   (153)   ~ (all_52_13 = e2)
% 195.36/32.39  | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | SIMP: (153) implies:
% 195.36/32.39  | | | | | | | | | | | | | | | | |   (154)   ~ (all_52_13 = e2)
% 195.36/32.39  | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | REDUCE: (112), (152) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | |   (155)   ~ (e3 = e2)
% 195.36/32.39  | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | REDUCE: (92), (152) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | |   (156)  op(e2, e3) = e2
% 195.36/32.39  | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | |   (157)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 195.36/32.39  | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | |   (158)  all_56_9 = e2 & op(e3, e0) = e2
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | ALPHA: (158) implies:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | |   (159)  all_56_9 = e2
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | |   (160)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e3)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | |   (161)  all_56_0 = e3 & op(e3, e3) = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | |   (162)  op(e3, e3) = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (25), (138), (162) are inconsistent by
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | |   (163)  all_56_1 = e3 & op(e3, e2) = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | |   (164)  all_56_1 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | |   (165)  all_54_13 = e2
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (165) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | |   (166)  all_52_7 = e2
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | SIMP: (166) implies:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | |   (167)  all_52_7 = e2
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (167) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | |   (168)   ~ (all_52_4 = e2)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_54_1 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (169) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | |   (170)  all_52_4 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (170) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | |   (171)   ~ (all_52_12 = e3)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (171) implies:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | |   (172)   ~ (all_52_12 = e3)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (170) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | |   (173)  op(e3, e2) = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_54_7 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (136), (174) are inconsistent by sub-proof
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | |            #1484.
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | |   (175)   ~ (all_54_7 = e3)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (178)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (23), (25), (51), (71), (179) are
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1893.
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (180)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  op(e3, e1) = e3
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  all_54_7 = e2
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (154), (183) are inconsistent by sub-proof
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1483.
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)   ~ (all_54_7 = e2)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)  all_54_7 = e1 | all_54_7 = e0
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  all_54_7 = e1
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (186) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_52_13 = e1
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (187) implies:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_52_13 = e1
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (188) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)   ~ (all_52_14 = e1)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (189) implies:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)   ~ (all_52_14 = e1)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (188) imply:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)   ~ (e3 = e1)
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (20), (50), (53), (56), (89), (137),
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (194) are inconsistent by sub-proof #523.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (23), (51), (77), (195) are
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1973.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (58), (70), (86), (91), (108), (121),
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (138), (139), (150), (173), (196) are
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #522.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (58), (81), (182), (199) are inconsistent by
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #521.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (52), (58), (79), (81), (85), (182), (200)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #520.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (25), (58), (202) are inconsistent by
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1936.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  op(e2, e0) = e2
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (38), (154), (205) are inconsistent by
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  op(e1, e0) = e1
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (39), (190), (208) are inconsistent by
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (20), (23), (35), (47), (51), (58), (74),
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (86), (90), (210) are inconsistent by
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #519.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_54_7 = e0
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (83), (211) are inconsistent by sub-proof
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1477.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (212) implies:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  op(e1, e3) = e1
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (77), (213) are inconsistent by
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1974.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (25), (35), (58), (76), (215) are
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1891.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (25), (58), (71), (86), (173), (216) are
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1378.
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.36/32.40  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (220) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (9), (16), (18), (20), (23), (25),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (35), (38), (39), (40), (42), (47), (51), (56),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (67), (70), (74), (76), (77), (79), (80), (81),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (90), (91), (92), (108), (121), (136),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (139), (149), (150), (154), (156), (164),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (172), (173), (176), (221) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #517.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (25), (71), (173), (223) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1888.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (225) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  op(e1, e1) = e0
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (71), (82), (91), (121), (137), (145),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (226) are inconsistent by sub-proof #1813.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  op(e1, e0) = e0
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (20), (39), (228) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1884.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (20), (25), (43), (46), (54), (58), (71),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (91), (137), (138), (139), (164), (173),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230) are inconsistent by sub-proof #1870.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  op(e1, e1) = e1
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (56), (71), (233) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1955.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (9), (16), (18), (20), (23), (25),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (35), (38), (39), (40), (42), (47), (51), (56),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (67), (70), (74), (76), (77), (79), (80), (81),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (86), (90), (91), (92), (108), (121), (136),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (139), (149), (150), (154), (156), (164),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (172), (173), (176), (235) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #517.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (62), (88), (168), (236) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1897.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | |   (237)  all_54_13 = e1 | all_54_13 = e0
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (31), (131), (237) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1652.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | |   (238)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e3)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | |   (239)  all_56_4 = e3 & op(e3, e1) = e3
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_4 = e3
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (240) imply:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | |   (241)  e3 = e0
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | SIMP: (241) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | |   (242)  e3 = e0
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (145), (242) imply:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_5 = e0
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (19), (20), (23), (25), (49), (51), (57),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | |            (58), (64), (71), (72), (86), (91), (137), (138),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | |            (139), (243) are inconsistent by sub-proof #1239.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | |   (244)  all_56_9 = e3 & op(e3, e0) = e3
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (137), (159), (244) are inconsistent by sub-proof
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | |            #525.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | |   (245)  all_56_10 = e2 & op(e2, e0) = e2
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | |   (246)  op(e2, e0) = e2
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (38), (154), (246) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | |   (247)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 195.36/32.41  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 195.36/32.41  | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | Case 1:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | |   (248)  all_56_11 = e2 & op(e1, e0) = e2
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (37), (39), (248) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | | | | |            sub-proof #760.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | |   (249)  all_56_15 = e2 & op(e0, e0) = e2
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | | | | |   (250)  op(e0, e0) = e2
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (58), (70), (91), (108), (121), (137),
% 195.36/32.41  | | | | | | | | | | | | | | | | | | |            (138), (139), (250) are inconsistent by sub-proof
% 195.36/32.41  | | | | | | | | | | | | | | | | | | |            #1122.
% 195.36/32.41  | | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | |   (251)  all_54_4 = e1 | all_54_4 = e0
% 195.36/32.41  | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13), (48), (251) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | | |            sub-proof #1830.
% 195.36/32.41  | | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | |   (252)  all_56_13 = e1 & op(e0, e2) = e1
% 195.36/32.41  | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | ALPHA: (252) implies:
% 195.36/32.41  | | | | | | | | | | | | | | | |   (253)  op(e0, e2) = e1
% 195.36/32.41  | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | | REF_CLOSE: (20), (90), (131), (253) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | | | |            sub-proof #1649.
% 195.36/32.41  | | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | |   (254)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 195.36/32.41  | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 195.36/32.41  | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | BETA: splitting (254) gives:
% 195.36/32.41  | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | Case 1:
% 195.36/32.41  | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | |   (255)  all_56_8 = e3 & op(e1, e1) = e3
% 195.36/32.41  | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | ALPHA: (255) implies:
% 195.36/32.41  | | | | | | | | | | | | | |   (256)  op(e1, e1) = e3
% 195.36/32.41  | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | REF_CLOSE: (20), (56), (137), (256) are inconsistent by
% 195.36/32.41  | | | | | | | | | | | | | |            sub-proof #1777.
% 195.36/32.41  | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | |   (257)  all_56_14 = e3 & op(e0, e1) = e3
% 195.36/32.41  | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | ALPHA: (257) implies:
% 195.36/32.41  | | | | | | | | | | | | | |   (258)  all_56_14 = e3
% 195.36/32.41  | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | | REF_CLOSE: (121), (138), (258) are inconsistent by sub-proof
% 195.36/32.41  | | | | | | | | | | | | | |            #1812.
% 195.36/32.41  | | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | |   (259)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.36/32.41  | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | | REF_CLOSE: (15), (24), (44), (132), (259) are inconsistent by
% 195.36/32.41  | | | | | | | | | | |            sub-proof #641.
% 195.36/32.41  | | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | Case 2:
% 195.36/32.41  | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | |   (260)  all_54_14 = e0
% 195.36/32.41  | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | | REF_CLOSE: (73), (74), (260) are inconsistent by sub-proof
% 195.36/32.41  | | | | | | | | | |            #1738.
% 195.36/32.41  | | | | | | | | | | 
% 195.36/32.41  | | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | | 
% 195.36/32.41  | | | | | | | | End of split
% 195.36/32.41  | | | | | | | | 
% 195.36/32.41  | | | | | | | End of split
% 195.36/32.41  | | | | | | | 
% 195.36/32.41  | | | | | | End of split
% 195.36/32.41  | | | | | | 
% 195.36/32.41  | | | | | Case 2:
% 195.36/32.41  | | | | | | 
% 195.36/32.41  | | | | | |   (261)  all_56_15 = e1 & op(e0, e0) = e1
% 195.36/32.41  | | | | | | 
% 195.36/32.41  | | | | | | ALPHA: (261) implies:
% 195.36/32.41  | | | | | |   (262)  op(e0, e0) = e1
% 195.36/32.41  | | | | | | 
% 195.36/32.41  | | | | | | REF_CLOSE: (20), (58), (81), (262) are inconsistent by sub-proof
% 195.36/32.41  | | | | | |            #1943.
% 195.36/32.41  | | | | | | 
% 195.36/32.41  | | | | | End of split
% 195.36/32.41  | | | | | 
% 195.36/32.41  | | | | End of split
% 195.36/32.41  | | | | 
% 195.36/32.41  | | | Case 2:
% 195.36/32.41  | | | | 
% 195.36/32.41  | | | |   (263)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.36/32.41  | | | | 
% 195.43/32.41  | | | | BETA: splitting (263) gives:
% 195.43/32.41  | | | | 
% 195.43/32.41  | | | | Case 1:
% 195.43/32.41  | | | | | 
% 195.43/32.41  | | | | |   (264)  all_54_12 = e2
% 195.43/32.41  | | | | | 
% 195.43/32.41  | | | | | COMBINE_EQS: (99), (264) imply:
% 195.43/32.41  | | | | |   (265)  all_42_0 = e2
% 195.43/32.41  | | | | | 
% 195.43/32.41  | | | | | SIMP: (265) implies:
% 195.43/32.41  | | | | |   (266)  all_42_0 = e2
% 195.43/32.41  | | | | | 
% 195.43/32.41  | | | | | REDUCE: (21), (266) imply:
% 195.43/32.41  | | | | |   (267)  $false
% 195.43/32.41  | | | | | 
% 195.43/32.41  | | | | | CLOSE: (267) is inconsistent.
% 195.43/32.41  | | | | | 
% 195.43/32.41  | | | | Case 2:
% 195.43/32.41  | | | | | 
% 195.43/32.41  | | | | |   (268)  all_54_12 = e1 | all_54_12 = e0
% 195.43/32.41  | | | | | 
% 195.43/32.41  | | | | | REF_CLOSE: (8), (30), (76), (268) are inconsistent by sub-proof #845.
% 195.43/32.41  | | | | | 
% 195.43/32.41  | | | | End of split
% 195.43/32.41  | | | | 
% 195.43/32.41  | | | End of split
% 195.43/32.41  | | | 
% 195.43/32.41  | | End of split
% 195.43/32.41  | | 
% 195.43/32.41  | Case 2:
% 195.43/32.41  | | 
% 195.43/32.41  | |   (269)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.43/32.41  | |            e2)
% 195.43/32.41  | | 
% 195.43/32.41  | | REF_CLOSE: (20), (47), (81), (91), (94), (269) are inconsistent by sub-proof
% 195.43/32.41  | |            #516.
% 195.43/32.41  | | 
% 195.43/32.41  | End of split
% 195.43/32.41  | 
% 195.43/32.41  End of proof
% 195.43/32.41  
% 195.43/32.41  Sub-proof #516 shows that the following formulas are inconsistent:
% 195.43/32.41  ----------------------------------------------------------------
% 195.43/32.41    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.41    (2)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.43/32.41    (3)  op(e0, e1) = all_52_11
% 195.43/32.41    (4)  op(e0, e0) = e0
% 195.43/32.41    (5)   ~ (e2 = e0)
% 195.43/32.41    (6)   ~ (all_52_11 = e2)
% 195.43/32.41  
% 195.43/32.41  Begin of proof
% 195.43/32.41  | 
% 195.43/32.41  | BETA: splitting (2) gives:
% 195.43/32.41  | 
% 195.43/32.41  | Case 1:
% 195.43/32.41  | | 
% 195.43/32.41  | |   (7)  all_56_14 = e2 & op(e0, e1) = e2
% 195.43/32.41  | | 
% 195.43/32.41  | | REF_CLOSE: (1), (3), (6), (7) are inconsistent by sub-proof #808.
% 195.43/32.41  | | 
% 195.43/32.41  | Case 2:
% 195.43/32.41  | | 
% 195.43/32.41  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 195.43/32.41  | | 
% 195.43/32.41  | | ALPHA: (8) implies:
% 195.43/32.41  | |   (9)  op(e0, e0) = e2
% 195.43/32.41  | | 
% 195.43/32.41  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1945.
% 195.43/32.41  | | 
% 195.43/32.41  | End of split
% 195.43/32.41  | 
% 195.43/32.41  End of proof
% 195.43/32.41  
% 195.43/32.41  Sub-proof #517 shows that the following formulas are inconsistent:
% 195.43/32.41  ----------------------------------------------------------------
% 195.43/32.41    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.43/32.41         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.43/32.41    (2)   ~ (all_52_7 = e0)
% 195.43/32.41    (3)  op(e1, e3) = all_52_2
% 195.43/32.41    (4)   ~ (all_52_13 = e3)
% 195.43/32.41    (5)  all_54_7 = all_52_13
% 195.43/32.41    (6)   ~ (all_52_1 = all_52_9)
% 195.43/32.41    (7)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.43/32.41         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.43/32.41    (8)  op(e1, e2) = e1
% 195.43/32.41    (9)   ~ (all_52_13 = e2)
% 195.43/32.41    (10)   ~ (e3 = e2)
% 195.43/32.41    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.41    (12)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 195.43/32.41            all_57_9 & $i(all_57_9))
% 195.43/32.41    (13)  op(e2, e2) = all_4_2
% 195.43/32.41    (14)  all_56_7 = e1
% 195.43/32.41    (15)  op(e3, e3) = e1
% 195.43/32.41    (16)  all_56_13 = e2
% 195.43/32.41    (17)  op(e0, e3) = all_52_3
% 195.43/32.41    (18)  op(e2, e0) = all_52_13
% 195.43/32.41    (19)  op(e1, e0) = all_52_14
% 195.43/32.41    (20)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.43/32.41          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.43/32.41    (21)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.43/32.41              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.43/32.41            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.43/32.41            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.43/32.41            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.43/32.41            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.43/32.41            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.43/32.41            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.43/32.41            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.43/32.41            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.43/32.41            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.43/32.41            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.43/32.41            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.43/32.41            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.43/32.41            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.43/32.41            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.43/32.41            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.43/32.41            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.43/32.41            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.41            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.43/32.41            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.43/32.41            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.43/32.41            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.43/32.41            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.43/32.41            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.43/32.41            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.43/32.41            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.43/32.41            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.43/32.41            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.43/32.41            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.43/32.41            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.43/32.41            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.43/32.41            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.43/32.41            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.43/32.41            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.43/32.41            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.43/32.41            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.43/32.41            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.43/32.41            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.43/32.41            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.43/32.41            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.43/32.41            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.43/32.41            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.43/32.41            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.43/32.41            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.43/32.41            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.43/32.41            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.43/32.41            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.43/32.41              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.43/32.41            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.43/32.41            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.43/32.41              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.43/32.41            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.43/32.41            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.43/32.41                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.43/32.41                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.43/32.41                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.43/32.41                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.43/32.41                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.43/32.41                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.43/32.41                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.43/32.41              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.43/32.41                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.43/32.41                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.43/32.41                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.43/32.41                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.43/32.41                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.43/32.41                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.41                $i(all_57_7))))
% 195.43/32.41    (22)  op(e0, e1) = all_52_11
% 195.43/32.41    (23)   ~ (all_52_12 = e3)
% 195.43/32.41    (24)   ~ (all_4_2 = e3)
% 195.43/32.41    (25)  op(e3, e2) = e3
% 195.43/32.41    (26)  op(e1, e1) = e2
% 195.43/32.41    (27)  op(e2, e3) = e2
% 195.43/32.41    (28)  all_56_14 = e1
% 195.43/32.41    (29)   ~ (all_52_13 = all_52_14)
% 195.43/32.41    (30)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.43/32.41              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.43/32.41                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.43/32.41                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.43/32.41    (31)   ~ (all_52_11 = e0)
% 195.43/32.41    (32)   ~ (all_52_3 = e0)
% 195.43/32.41    (33)   ~ (all_52_2 = e1)
% 195.43/32.41    (34)  op(e3, e0) = all_52_12
% 195.43/32.41    (35)  op(e2, e1) = all_52_9
% 195.43/32.41    (36)  op(e0, e0) = e0
% 195.43/32.41    (37)  all_56_1 = e3
% 195.43/32.41    (38)   ~ (all_52_13 = e0)
% 195.43/32.41    (39)  op(e2, e2) = e0
% 195.43/32.41    (40)  op(e0, e2) = all_52_7
% 195.43/32.41    (41)   ~ (e2 = e0)
% 195.43/32.41    (42)  op(e2, e3) = all_52_1
% 195.43/32.41    (43)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.43/32.41    (44)   ~ (e3 = e0)
% 195.43/32.41  
% 195.43/32.41  Begin of proof
% 195.43/32.41  | 
% 195.43/32.41  | BETA: splitting (43) gives:
% 195.43/32.41  | 
% 195.43/32.41  | Case 1:
% 195.43/32.41  | | 
% 195.43/32.41  | |   (45)  all_54_7 = e2
% 195.43/32.41  | | 
% 195.43/32.41  | | REF_CLOSE: (5), (9), (45) are inconsistent by sub-proof #1483.
% 195.43/32.41  | | 
% 195.43/32.41  | Case 2:
% 195.43/32.41  | | 
% 195.43/32.41  | |   (46)   ~ (all_54_7 = e2)
% 195.43/32.41  | |   (47)  all_54_7 = e1 | all_54_7 = e0
% 195.43/32.41  | | 
% 195.43/32.41  | | BETA: splitting (47) gives:
% 195.43/32.41  | | 
% 195.43/32.41  | | Case 1:
% 195.43/32.41  | | | 
% 195.43/32.41  | | |   (48)  all_54_7 = e1
% 195.43/32.41  | | | 
% 195.43/32.41  | | | COMBINE_EQS: (5), (48) imply:
% 195.43/32.41  | | |   (49)  all_52_13 = e1
% 195.43/32.41  | | | 
% 195.43/32.41  | | | SIMP: (49) implies:
% 195.43/32.41  | | |   (50)  all_52_13 = e1
% 195.43/32.41  | | | 
% 195.43/32.41  | | | REDUCE: (29), (50) imply:
% 195.43/32.41  | | |   (51)   ~ (all_52_14 = e1)
% 195.43/32.41  | | | 
% 195.43/32.41  | | | SIMP: (51) implies:
% 195.43/32.41  | | |   (52)   ~ (all_52_14 = e1)
% 195.43/32.41  | | | 
% 195.43/32.41  | | | REDUCE: (4), (50) imply:
% 195.43/32.41  | | |   (53)   ~ (e3 = e1)
% 195.43/32.41  | | | 
% 195.43/32.41  | | | SIMP: (53) implies:
% 195.43/32.41  | | |   (54)   ~ (e3 = e1)
% 195.43/32.41  | | | 
% 195.43/32.41  | | | REDUCE: (9), (50) imply:
% 195.43/32.41  | | |   (55)   ~ (e2 = e1)
% 195.43/32.41  | | | 
% 195.43/32.41  | | | SIMP: (55) implies:
% 195.43/32.41  | | |   (56)   ~ (e2 = e1)
% 195.43/32.41  | | | 
% 195.43/32.41  | | | REDUCE: (38), (50) imply:
% 195.43/32.41  | | |   (57)   ~ (e1 = e0)
% 195.43/32.41  | | | 
% 195.43/32.41  | | | BETA: splitting (21) gives:
% 195.43/32.41  | | | 
% 195.43/32.41  | | | Case 1:
% 195.43/32.41  | | | | 
% 195.43/32.42  | | | |   (58)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.43/32.42  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.43/32.42  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.43/32.42  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.43/32.42  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.43/32.42  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.43/32.42  | | | |           e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.43/32.42  | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 195.43/32.42  | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.43/32.42  | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.43/32.42  | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 195.43/32.42  | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.43/32.42  | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.43/32.42  | | | |           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.43/32.42  | | | |           (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 195.43/32.42  | | | |           & op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.43/32.42  | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 =
% 195.43/32.42  | | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.43/32.42  | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 195.43/32.42  | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.43/32.42  | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.43/32.42  | | | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 195.43/32.42  | | | |           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.43/32.42  | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.43/32.42  | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.43/32.42  | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.43/32.42  | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.43/32.42  | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 195.43/32.42  | | | |           & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.43/32.42  | | | |           $i(all_57_7) & $i(all_57_10))
% 195.43/32.42  | | | | 
% 195.43/32.42  | | | | BETA: splitting (58) gives:
% 195.43/32.42  | | | | 
% 195.43/32.42  | | | | Case 1:
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | |   (59)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.43/32.42  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 195.43/32.42  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.43/32.42  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.43/32.42  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.43/32.42  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 195.43/32.42  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.43/32.42  | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 195.43/32.42  | | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.43/32.42  | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.43/32.42  | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 195.43/32.42  | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 195.43/32.42  | | | | |           & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.43/32.42  | | | | |           $i(all_57_14))
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | | BETA: splitting (59) gives:
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | | Case 1:
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | |   (60)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.43/32.42  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.43/32.42  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.43/32.42  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 195.43/32.42  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 195.43/32.42  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.43/32.42  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | | BETA: splitting (60) gives:
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | | Case 1:
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | |   (61)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.43/32.42  | | | | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.43/32.42  | | | | | | |         all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.43/32.42  | | | | | | |         $i(all_57_1) & $i(all_57_12)
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | | ALPHA: (61) implies:
% 195.43/32.42  | | | | | | |   (62)  op(e1, e1) = e3
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | | REF_CLOSE: (10), (11), (26), (62) are inconsistent by sub-proof
% 195.43/32.42  | | | | | | |            #1777.
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | Case 2:
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | |   (63)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 195.43/32.42  | | | | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.43/32.42  | | | | | | |         all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.43/32.42  | | | | | | |         $i(all_57_2) & $i(all_57_12)
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | | ALPHA: (63) implies:
% 195.43/32.42  | | | | | | |   (64)  op(e0, e0) = e3
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | | REF_CLOSE: (7), (10), (11), (12), (13), (14), (15), (20), (24),
% 195.43/32.42  | | | | | | |            (36), (37), (39), (41), (44), (54), (56), (57), (64)
% 195.43/32.42  | | | | | | |            are inconsistent by sub-proof #1209.
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | End of split
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | Case 2:
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | |   (65)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.43/32.42  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 195.43/32.42  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 195.43/32.42  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.43/32.42  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.43/32.42  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 195.43/32.42  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | | REF_CLOSE: (3), (11), (13), (24), (33), (65) are inconsistent by
% 195.43/32.42  | | | | | |            sub-proof #1973.
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | End of split
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | Case 2:
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | |   (66)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.43/32.42  | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3
% 195.43/32.42  | | | | |           & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.43/32.42  | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.43/32.42  | | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.43/32.42  | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 195.43/32.42  | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1
% 195.43/32.42  | | | | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2)
% 195.43/32.42  | | | | |           & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 195.43/32.42  | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.43/32.42  | | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.43/32.42  | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.43/32.42  | | | | |           & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.43/32.42  | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.43/32.42  | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.43/32.42  | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.43/32.42  | | | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | | REF_CLOSE: (1), (8), (10), (11), (16), (25), (28), (30), (39), (41),
% 195.43/32.42  | | | | |            (44), (54), (57), (66) are inconsistent by sub-proof #522.
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | End of split
% 195.43/32.42  | | | | 
% 195.43/32.42  | | | Case 2:
% 195.43/32.42  | | | | 
% 195.43/32.42  | | | |   (67)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.43/32.42  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.43/32.42  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.43/32.42  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.43/32.42  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.43/32.42  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.43/32.42  | | | |           e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.43/32.42  | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 195.43/32.42  | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.43/32.42  | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.43/32.42  | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.43/32.42  | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.43/32.42  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.43/32.42  | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.43/32.42  | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.43/32.42  | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.43/32.42  | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 &
% 195.43/32.42  | | | |           all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 = e0) &
% 195.43/32.42  | | | |           op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 195.43/32.42  | | | |           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.43/32.42  | | | |         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 195.43/32.42  | | | |           (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.43/32.42  | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.43/32.42  | | | |           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 195.43/32.42  | | | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.43/32.42  | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 195.43/32.42  | | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.43/32.42  | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.43/32.42  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.43/32.42  | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.43/32.42  | | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.43/32.42  | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3)
% 195.43/32.42  | | | |               & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.43/32.42  | | | |               e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.43/32.42  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.43/32.42  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.43/32.42  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.43/32.42  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.43/32.42  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.43/32.42  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.43/32.42  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.43/32.42  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.43/32.42  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.43/32.42  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.43/32.42  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.43/32.42  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.43/32.42  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.43/32.42  | | | | 
% 195.43/32.42  | | | | BETA: splitting (67) gives:
% 195.43/32.42  | | | | 
% 195.43/32.42  | | | | Case 1:
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | |   (68)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.43/32.42  | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 195.43/32.42  | | | | |           & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.43/32.42  | | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.43/32.42  | | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.43/32.42  | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 195.43/32.42  | | | | |           = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.43/32.42  | | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 195.43/32.42  | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.43/32.42  | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.43/32.42  | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.43/32.42  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 195.43/32.42  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.43/32.42  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.43/32.42  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.43/32.42  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.43/32.42  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | | BETA: splitting (68) gives:
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | | Case 1:
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | |   (69)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.43/32.42  | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 195.43/32.42  | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.43/32.42  | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 & all_57_10
% 195.43/32.42  | | | | | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3,
% 195.43/32.42  | | | | | |             e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.43/32.42  | | | | | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.43/32.42  | | | | | |           $i(all_57_12))
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | | REF_CLOSE: (6), (11), (27), (35), (36), (42), (57), (69) are
% 195.43/32.42  | | | | | |            inconsistent by sub-proof #518.
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | Case 2:
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | |   (70)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.43/32.42  | | | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.43/32.42  | | | | | |           e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.43/32.42  | | | | | |           $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12
% 195.43/32.42  | | | | | |           = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3,
% 195.43/32.42  | | | | | |             e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.43/32.42  | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 195.43/32.42  | | | | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.43/32.42  | | | | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 195.43/32.42  | | | | | |           e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.43/32.42  | | | | | |           $i(all_57_10) & $i(all_57_13))
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | | REF_CLOSE: (11), (23), (34), (36), (57), (70) are inconsistent by
% 195.43/32.42  | | | | | |            sub-proof #1828.
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | End of split
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | Case 2:
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | |   (71)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.43/32.42  | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.43/32.42  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.43/32.42  | | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.43/32.42  | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.43/32.42  | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 195.43/32.42  | | | | |           = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 195.43/32.42  | | | | |           all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.43/32.42  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.43/32.42  | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 195.43/32.42  | | | | |         (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.43/32.42  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.43/32.42  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.43/32.42  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.43/32.42  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.43/32.42  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.43/32.42  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.43/32.42  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.43/32.42  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.43/32.42  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.43/32.42  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.43/32.42  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.43/32.42  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.43/32.42  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.43/32.42  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.43/32.42  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.43/32.42  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.43/32.42  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.43/32.42  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.43/32.42  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.43/32.42  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.42  | | | | |               $i(all_57_7))))
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | | BETA: splitting (71) gives:
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | | Case 1:
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | |   (72)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.43/32.42  | | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9
% 195.43/32.42  | | | | | |           & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 195.43/32.42  | | | | | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.43/32.42  | | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.43/32.42  | | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1,
% 195.43/32.42  | | | | | |             e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | | REF_CLOSE: (11), (15), (57), (72) are inconsistent by sub-proof
% 195.43/32.42  | | | | | |            #1936.
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | Case 2:
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | |   (73)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.43/32.42  | | | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) =
% 195.43/32.42  | | | | | |           e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.43/32.42  | | | | | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.43/32.42  | | | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0)
% 195.43/32.42  | | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.43/32.42  | | | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.43/32.42  | | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.43/32.42  | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.43/32.42  | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2)
% 195.43/32.42  | | | | | |               = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 =
% 195.43/32.42  | | | | | |               e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.43/32.42  | | | | | |               (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1)
% 195.43/32.42  | | | | | |               = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.43/32.42  | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.43/32.42  | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.42  | | | | | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 195.43/32.42  | | | | | |               = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.43/32.42  | | | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1)
% 195.43/32.42  | | | | | |               = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.43/32.42  | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.43/32.42  | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.43/32.42  | | | | | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 195.43/32.42  | | | | | |               = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.43/32.42  | | | | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.43/32.42  | | | | | |               all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | | BETA: splitting (73) gives:
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | | Case 1:
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | |   (74)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.43/32.42  | | | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) =
% 195.43/32.42  | | | | | | |         e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.43/32.42  | | | | | | |         $i(all_57_12) & $i(all_57_13)
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | | ALPHA: (74) implies:
% 195.43/32.42  | | | | | | |   (75)  op(e2, e0) = e2
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | | REF_CLOSE: (9), (11), (18), (75) are inconsistent by sub-proof
% 195.43/32.42  | | | | | | |            #1662.
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | Case 2:
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | |   (76)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 195.43/32.42  | | | | | | |           ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 195.43/32.42  | | | | | | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.43/32.42  | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 195.43/32.42  | | | | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 195.43/32.42  | | | | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.43/32.42  | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.43/32.42  | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.43/32.42  | | | | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.43/32.42  | | | | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.43/32.42  | | | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.43/32.42  | | | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.43/32.42  | | | | | | |               e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.43/32.42  | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.43/32.42  | | | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.43/32.42  | | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.43/32.42  | | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.43/32.42  | | | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.43/32.42  | | | | | | |               e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.43/32.42  | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.43/32.42  | | | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.43/32.42  | | | | | | |               e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.42  | | | | | | |               $i(all_57_7))))
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | | BETA: splitting (76) gives:
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | | Case 1:
% 195.43/32.42  | | | | | | | | 
% 195.43/32.42  | | | | | | | |   (77)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 195.43/32.42  | | | | | | | |         ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 195.43/32.42  | | | | | | | |         all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.43/32.42  | | | | | | | |         $i(all_57_11) & $i(all_57_14)
% 195.43/32.42  | | | | | | | | 
% 195.43/32.42  | | | | | | | | ALPHA: (77) implies:
% 195.43/32.42  | | | | | | | |   (78)  op(e1, e0) = e1
% 195.43/32.42  | | | | | | | | 
% 195.43/32.42  | | | | | | | | REF_CLOSE: (11), (19), (52), (78) are inconsistent by sub-proof
% 195.43/32.42  | | | | | | | |            #1958.
% 195.43/32.42  | | | | | | | | 
% 195.43/32.42  | | | | | | | Case 2:
% 195.43/32.42  | | | | | | | | 
% 195.43/32.42  | | | | | | | |   (79)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0
% 195.43/32.42  | | | | | | | |             & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.43/32.42  | | | | | | | |             (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.43/32.42  | | | | | | | |               e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.43/32.42  | | | | | | | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.43/32.42  | | | | | | | |              ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 195.43/32.42  | | | | | | | |               e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.43/32.42  | | | | | | | |           (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &
% 195.43/32.42  | | | | | | | |              ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.42  | | | | | | | |             all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.43/32.42  | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 195.43/32.42  | | | | | | | |              ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1,
% 195.43/32.42  | | | | | | | |               e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.43/32.42  | | | | | | | |           (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &
% 195.43/32.42  | | | | | | | |              ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.43/32.42  | | | | | | | |             all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.43/32.42  | | | | | | | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 195.43/32.42  | | | | | | | |              ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.43/32.42  | | | | | | | |             all_57_7 & op(e0, e1) = e0 & $i(all_57_7)))
% 195.43/32.42  | | | | | | | | 
% 195.43/32.42  | | | | | | | | ALPHA: (79) implies:
% 195.43/32.42  | | | | | | | |   (80)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) & 
% 195.43/32.42  | | | | | | | |           ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.43/32.42  | | | | | | | |             e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.43/32.42  | | | | | | | |         (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.43/32.42  | | | | | | | |           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 195.43/32.42  | | | | | | | |             e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.43/32.42  | | | | | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 195.43/32.42  | | | | | | | |           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.42  | | | | | | | |           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 195.43/32.42  | | | | | | | |           = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.43/32.42  | | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1)
% 195.43/32.42  | | | | | | | |           = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.43/32.42  | | | | | | | |           e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.43/32.42  | | | | | | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.43/32.42  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 195.43/32.42  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.43/32.42  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.43/32.42  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.43/32.42  | | | | | | | | 
% 195.43/32.42  | | | | | | | | REF_CLOSE: (2), (11), (13), (17), (22), (24), (31), (32), (39),
% 195.43/32.42  | | | | | | | |            (40), (57), (80) are inconsistent by sub-proof #519.
% 195.43/32.42  | | | | | | | | 
% 195.43/32.42  | | | | | | | End of split
% 195.43/32.42  | | | | | | | 
% 195.43/32.42  | | | | | | End of split
% 195.43/32.42  | | | | | | 
% 195.43/32.42  | | | | | End of split
% 195.43/32.42  | | | | | 
% 195.43/32.42  | | | | End of split
% 195.43/32.42  | | | | 
% 195.43/32.42  | | | End of split
% 195.43/32.42  | | | 
% 195.43/32.42  | | Case 2:
% 195.43/32.42  | | | 
% 195.43/32.42  | | |   (81)  all_54_7 = e0
% 195.43/32.42  | | | 
% 195.43/32.42  | | | REF_CLOSE: (5), (38), (81) are inconsistent by sub-proof #1477.
% 195.43/32.42  | | | 
% 195.43/32.42  | | End of split
% 195.43/32.42  | | 
% 195.43/32.42  | End of split
% 195.43/32.42  | 
% 195.43/32.42  End of proof
% 195.43/32.42  
% 195.43/32.42  Sub-proof #518 shows that the following formulas are inconsistent:
% 195.43/32.42  ----------------------------------------------------------------
% 195.43/32.42    (1)   ~ (all_52_1 = all_52_9)
% 195.43/32.42    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.42    (3)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.43/32.42             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.43/32.42           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 195.43/32.42           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.43/32.42           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.43/32.42           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 195.43/32.42    (4)   ~ (e1 = e0)
% 195.43/32.42    (5)  op(e2, e3) = e2
% 195.43/32.42    (6)  op(e2, e1) = all_52_9
% 195.43/32.42    (7)  op(e0, e0) = e0
% 195.43/32.42    (8)  op(e2, e3) = all_52_1
% 195.43/32.42  
% 195.43/32.42  Begin of proof
% 195.43/32.42  | 
% 195.43/32.42  | BETA: splitting (3) gives:
% 195.43/32.42  | 
% 195.43/32.42  | Case 1:
% 195.43/32.42  | | 
% 195.43/32.42  | |   (9)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.43/32.42  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.43/32.42  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 195.43/32.42  | | 
% 195.43/32.42  | | ALPHA: (9) implies:
% 195.43/32.42  | |   (10)  op(e0, e0) = e1
% 195.43/32.42  | | 
% 195.43/32.42  | | REF_CLOSE: (2), (4), (7), (10) are inconsistent by sub-proof #1943.
% 195.43/32.42  | | 
% 195.43/32.42  | Case 2:
% 195.43/32.42  | | 
% 195.43/32.42  | |   (11)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 195.43/32.42  | |           = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.43/32.42  | |         all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 195.43/32.42  | | 
% 195.43/32.42  | | ALPHA: (11) implies:
% 195.43/32.42  | |   (12)  op(e2, e1) = e2
% 195.43/32.42  | | 
% 195.43/32.42  | | REF_CLOSE: (1), (2), (5), (6), (8), (12) are inconsistent by sub-proof
% 195.43/32.42  | |            #1135.
% 195.43/32.42  | | 
% 195.43/32.42  | End of split
% 195.43/32.42  | 
% 195.43/32.42  End of proof
% 195.43/32.42  
% 195.43/32.42  Sub-proof #519 shows that the following formulas are inconsistent:
% 195.43/32.42  ----------------------------------------------------------------
% 195.43/32.42    (1)   ~ (all_52_7 = e0)
% 195.43/32.42    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.42    (3)  op(e2, e2) = all_4_2
% 195.43/32.42    (4)  op(e0, e3) = all_52_3
% 195.43/32.42    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.43/32.42             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.43/32.42           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.43/32.42           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.43/32.42             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.43/32.42           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.42           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.43/32.42           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.43/32.42           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.43/32.42           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.43/32.42           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.43/32.42         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.43/32.42             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.42           $i(all_57_7))
% 195.43/32.42    (6)  op(e0, e1) = all_52_11
% 195.43/32.42    (7)   ~ (all_4_2 = e3)
% 195.43/32.42    (8)   ~ (e1 = e0)
% 195.43/32.42    (9)   ~ (all_52_11 = e0)
% 195.43/32.42    (10)   ~ (all_52_3 = e0)
% 195.43/32.42    (11)  op(e2, e2) = e0
% 195.43/32.42    (12)  op(e0, e2) = all_52_7
% 195.43/32.42  
% 195.43/32.42  Begin of proof
% 195.43/32.42  | 
% 195.43/32.42  | BETA: splitting (5) gives:
% 195.43/32.42  | 
% 195.43/32.42  | Case 1:
% 195.43/32.42  | | 
% 195.43/32.42  | |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 195.43/32.42  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.43/32.42  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.43/32.42  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.43/32.42  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 195.43/32.42  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.43/32.42  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.43/32.42  | |           $i(all_57_3))
% 195.43/32.42  | | 
% 195.43/32.42  | | REF_CLOSE: (1), (2), (3), (4), (7), (10), (12), (13) are inconsistent by
% 195.43/32.42  | |            sub-proof #816.
% 195.43/32.42  | | 
% 195.43/32.42  | Case 2:
% 195.43/32.42  | | 
% 195.43/32.42  | |   (14)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.43/32.42  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.43/32.42  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.43/32.42  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.43/32.42  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.43/32.42  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.43/32.42  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.42  | |           $i(all_57_7))
% 195.43/32.42  | | 
% 195.43/32.42  | | BETA: splitting (14) gives:
% 195.43/32.42  | | 
% 195.43/32.42  | | Case 1:
% 195.43/32.42  | | | 
% 195.43/32.42  | | |   (15)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.43/32.42  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.43/32.42  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 195.43/32.42  | | | 
% 195.43/32.42  | | | ALPHA: (15) implies:
% 195.43/32.42  | | |   (16)  op(e0, e2) = e0
% 195.43/32.42  | | | 
% 195.43/32.42  | | | REF_CLOSE: (1), (2), (12), (16) are inconsistent by sub-proof #818.
% 195.43/32.42  | | | 
% 195.43/32.42  | | Case 2:
% 195.43/32.42  | | | 
% 195.43/32.42  | | |   (17)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.43/32.42  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.43/32.42  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.43/32.42  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.43/32.42  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.43/32.42  | | | 
% 195.43/32.42  | | | REF_CLOSE: (2), (6), (8), (9), (11), (17) are inconsistent by sub-proof
% 195.43/32.42  | | |            #1807.
% 195.43/32.42  | | | 
% 195.43/32.42  | | End of split
% 195.43/32.42  | | 
% 195.43/32.42  | End of split
% 195.43/32.42  | 
% 195.43/32.42  End of proof
% 195.43/32.42  
% 195.43/32.42  Sub-proof #520 shows that the following formulas are inconsistent:
% 195.43/32.42  ----------------------------------------------------------------
% 195.43/32.42    (1)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 195.43/32.42             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.43/32.42           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 195.43/32.42           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.43/32.42           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 195.43/32.42           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.43/32.42           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 195.43/32.42           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.43/32.42           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.43/32.42    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.42    (3)  op(e3, e1) = e3
% 195.43/32.42    (4)   ~ (all_52_8 = all_52_12)
% 195.43/32.42    (5)   ~ (e1 = e0)
% 195.43/32.42    (6)  op(e3, e0) = all_52_12
% 195.43/32.42    (7)  op(e0, e0) = e0
% 195.43/32.42    (8)  op(e3, e1) = all_52_8
% 195.43/32.42  
% 195.43/32.42  Begin of proof
% 195.43/32.42  | 
% 195.43/32.42  | BETA: splitting (1) gives:
% 195.43/32.42  | 
% 195.43/32.42  | Case 1:
% 195.43/32.42  | | 
% 195.43/32.42  | |   (9)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 195.43/32.42  | |          e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.43/32.42  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 195.43/32.42  | | 
% 195.43/32.42  | | ALPHA: (9) implies:
% 195.43/32.42  | |   (10)  op(e0, e0) = e1
% 195.43/32.42  | | 
% 195.43/32.42  | | REF_CLOSE: (2), (5), (7), (10) are inconsistent by sub-proof #1943.
% 195.43/32.42  | | 
% 195.43/32.42  | Case 2:
% 195.43/32.42  | | 
% 195.43/32.42  | |   (11)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.43/32.42  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.43/32.42  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.43/32.42  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 195.43/32.42  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 195.43/32.42  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.43/32.42  | |           $i(all_57_13))
% 195.43/32.42  | | 
% 195.43/32.42  | | REF_CLOSE: (2), (3), (4), (6), (8), (11) are inconsistent by sub-proof #900.
% 195.43/32.42  | | 
% 195.43/32.42  | End of split
% 195.43/32.42  | 
% 195.43/32.42  End of proof
% 195.43/32.42  
% 195.43/32.42  Sub-proof #521 shows that the following formulas are inconsistent:
% 195.43/32.42  ----------------------------------------------------------------
% 195.43/32.42    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.43/32.43             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.43/32.43           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 195.43/32.43           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.43/32.43           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.43/32.43           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 195.43/32.43    (3)  op(e3, e1) = e3
% 195.43/32.43    (4)   ~ (e1 = e0)
% 195.43/32.43    (5)  op(e0, e0) = e0
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (2) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (6)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.43/32.43  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.43/32.43  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (6) implies:
% 195.43/32.43  | |   (7)  op(e0, e0) = e1
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1943.
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (8)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 195.43/32.43  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.43/32.43  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (8) implies:
% 195.43/32.43  | |   (9)   ~ (all_57_6 = e3)
% 195.43/32.43  | |   (10)  op(e3, e1) = all_57_6
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (1), (3), (9), (10) are inconsistent by sub-proof #675.
% 195.43/32.43  | | 
% 195.43/32.43  | End of split
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #522 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.43/32.43         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.43/32.43    (2)  op(e1, e2) = e1
% 195.43/32.43    (3)   ~ (e3 = e2)
% 195.43/32.43    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (5)  all_56_13 = e2
% 195.43/32.43    (6)  op(e3, e2) = e3
% 195.43/32.43    (7)   ~ (e1 = e0)
% 195.43/32.43    (8)  all_56_14 = e1
% 195.43/32.43    (9)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.43/32.43             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 195.43/32.43               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.43/32.43               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.43/32.43    (10)  op(e2, e2) = e0
% 195.43/32.43    (11)   ~ (e3 = e1)
% 195.43/32.43    (12)   ~ (e2 = e0)
% 195.43/32.43    (13)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 195.43/32.43              e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.43/32.43            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 195.43/32.43            = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.43/32.43            op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 195.43/32.43            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.43/32.43            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3)
% 195.43/32.43            = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.43/32.43            all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15
% 195.43/32.43            = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.43/32.43            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.43/32.43            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.43/32.43            (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.43/32.43            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.43/32.43            $i(all_57_7) & $i(all_57_10))
% 195.43/32.43    (14)   ~ (e3 = e0)
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (13) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (15)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 195.43/32.43  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.43/32.43  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.43/32.43  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 195.43/32.43  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.43/32.43  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 195.43/32.43  | | 
% 195.43/32.43  | | BETA: splitting (15) gives:
% 195.43/32.43  | | 
% 195.43/32.43  | | Case 1:
% 195.43/32.43  | | | 
% 195.43/32.43  | | |   (16)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.43/32.43  | | |         (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.43/32.43  | | |         op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.43/32.43  | | |         $i(all_57_10)
% 195.43/32.43  | | | 
% 195.43/32.43  | | | ALPHA: (16) implies:
% 195.43/32.43  | | |   (17)   ~ (all_57_4 = e1)
% 195.43/32.43  | | |   (18)  op(e1, e2) = all_57_4
% 195.43/32.43  | | | 
% 195.43/32.43  | | | REF_CLOSE: (2), (4), (17), (18) are inconsistent by sub-proof #1303.
% 195.43/32.43  | | | 
% 195.43/32.43  | | Case 2:
% 195.43/32.43  | | | 
% 195.43/32.43  | | |   (19)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.43/32.43  | | |         (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.43/32.43  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.43/32.43  | | |         $i(all_57_10)
% 195.43/32.43  | | | 
% 195.43/32.43  | | | ALPHA: (19) implies:
% 195.43/32.43  | | |   (20)  op(e0, e0) = e2
% 195.43/32.43  | | | 
% 195.43/32.43  | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (11), (12), (14), (20) are
% 195.43/32.43  | | |            inconsistent by sub-proof #1122.
% 195.43/32.43  | | | 
% 195.43/32.43  | | End of split
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (21)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 195.43/32.43  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 195.43/32.43  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.43/32.43  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.43/32.43  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.43/32.43  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.43/32.43  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.43/32.43  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.43/32.43  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 195.43/32.43  | |            (21) are inconsistent by sub-proof #714.
% 195.43/32.43  | | 
% 195.43/32.43  | End of split
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #523 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)  op(e0, e0) = all_14_2
% 195.43/32.43    (2)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.43/32.43             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.43/32.43           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.43/32.43           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.43/32.43           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.43/32.43           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.43/32.43    (3)   ~ (all_14_2 = e1)
% 195.43/32.43    (4)   ~ (e3 = e2)
% 195.43/32.43    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (6)   ~ (all_14_2 = e3)
% 195.43/32.43    (7)  all_54_15 = all_14_2
% 195.43/32.43    (8)  op(e1, e1) = e2
% 195.43/32.43    (9)  all_54_15 = e1 | all_54_15 = e0
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (2) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (10)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 195.43/32.43  | |           = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.43/32.43  | |         all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (10) implies:
% 195.43/32.43  | |   (11)  op(e1, e1) = e3
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (4), (5), (8), (11) are inconsistent by sub-proof #1777.
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (12)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 195.43/32.43  | |           = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.43/32.43  | |         all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (12) implies:
% 195.43/32.43  | |   (13)  op(e0, e0) = e3
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (13) are inconsistent by sub-proof
% 195.43/32.43  | |            #1647.
% 195.43/32.43  | | 
% 195.43/32.43  | End of split
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #524 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)   ~ (all_52_7 = e0)
% 195.43/32.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (3)  op(e2, e2) = all_4_2
% 195.43/32.43    (4)  op(e0, e3) = all_52_3
% 195.43/32.43    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.43/32.43             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.43/32.43           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.43/32.43           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.43/32.43             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.43/32.43           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.43           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.43/32.43           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.43/32.43           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.43/32.43           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.43/32.43           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.43/32.43         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.43/32.43             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.43           $i(all_57_7))
% 195.43/32.43    (6)  op(e0, e1) = all_52_11
% 195.43/32.43    (7)   ~ (all_4_2 = e3)
% 195.43/32.43    (8)   ~ (e2 = e1)
% 195.43/32.43    (9)   ~ (all_52_11 = e0)
% 195.43/32.43    (10)   ~ (all_52_3 = e0)
% 195.43/32.43    (11)  op(e2, e2) = e2
% 195.43/32.43    (12)  op(e0, e2) = all_52_7
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (5) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 195.43/32.43  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.43/32.43  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.43/32.43  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.43/32.43  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 195.43/32.43  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.43/32.43  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.43/32.43  | |           $i(all_57_3))
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (1), (2), (3), (4), (7), (10), (12), (13) are inconsistent by
% 195.43/32.43  | |            sub-proof #816.
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (14)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.43/32.43  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.43/32.43  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.43/32.43  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.43/32.43  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.43/32.43  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.43/32.43  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.43  | |           $i(all_57_7))
% 195.43/32.43  | | 
% 195.43/32.43  | | BETA: splitting (14) gives:
% 195.43/32.43  | | 
% 195.43/32.43  | | Case 1:
% 195.43/32.43  | | | 
% 195.43/32.43  | | |   (15)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.43/32.43  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.43/32.43  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 195.43/32.43  | | | 
% 195.43/32.43  | | | ALPHA: (15) implies:
% 195.43/32.43  | | |   (16)  op(e0, e2) = e0
% 195.43/32.43  | | | 
% 195.43/32.43  | | | REF_CLOSE: (1), (2), (12), (16) are inconsistent by sub-proof #818.
% 195.43/32.43  | | | 
% 195.43/32.43  | | Case 2:
% 195.43/32.43  | | | 
% 195.43/32.43  | | |   (17)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.43/32.43  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.43/32.43  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.43/32.43  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.43/32.43  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.43/32.43  | | | 
% 195.43/32.43  | | | REF_CLOSE: (2), (6), (8), (9), (11), (17) are inconsistent by sub-proof
% 195.43/32.43  | | |            #1474.
% 195.43/32.43  | | | 
% 195.43/32.43  | | End of split
% 195.43/32.43  | | 
% 195.43/32.43  | End of split
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #525 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)  all_56_9 = e3 & op(e3, e0) = e3
% 195.43/32.43    (2)  all_56_9 = e2
% 195.43/32.43    (3)   ~ (e3 = e2)
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | ALPHA: (1) implies:
% 195.43/32.43  |   (4)  all_56_9 = e3
% 195.43/32.43  | 
% 195.43/32.43  | COMBINE_EQS: (2), (4) imply:
% 195.43/32.43  |   (5)  e3 = e2
% 195.43/32.43  | 
% 195.43/32.43  | SIMP: (5) implies:
% 195.43/32.43  |   (6)  e3 = e2
% 195.43/32.43  | 
% 195.43/32.43  | REDUCE: (3), (6) imply:
% 195.43/32.43  |   (7)  $false
% 195.43/32.43  | 
% 195.43/32.43  | CLOSE: (7) is inconsistent.
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #526 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)   ~ (all_52_13 = e2)
% 195.43/32.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (3)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.43/32.43           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.43/32.43           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.43/32.43                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.43/32.43               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.43/32.43               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.43/32.43           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.43/32.43             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.43/32.43               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.43/32.43           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.43/32.43               = all_57_4 & $i(all_57_4))))
% 195.43/32.43    (4)  op(e3, e3) = e1
% 195.43/32.43    (5)  op(e2, e0) = all_52_13
% 195.43/32.43    (6)  op(e3, e2) = e3
% 195.43/32.43    (7)   ~ (e2 = e1)
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (3) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (8)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.43/32.43  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.43/32.43  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.43/32.43  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 195.43/32.43  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.43/32.43  | |            all_57_13 & $i(all_57_13)))
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (8) implies:
% 195.43/32.43  | |   (9)  op(e2, e0) = e2
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1662.
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (10)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.43/32.43  | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.43/32.43  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 195.43/32.43  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 195.43/32.43  | |             e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.43/32.43  | |             all_57_4 & $i(all_57_4)))
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (10) implies:
% 195.43/32.43  | |   (11)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 195.43/32.43  | |             e2) = all_57_3 & $i(all_57_3))
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (2), (4), (6), (7), (11) are inconsistent by sub-proof #1888.
% 195.43/32.43  | | 
% 195.43/32.43  | End of split
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #527 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)   ~ (all_57_10 = e2)
% 195.43/32.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (3)  op(e2, e2) = all_4_2
% 195.43/32.43    (4)  op(e3, e3) = all_57_10
% 195.43/32.43    (5)   ~ (all_4_2 = e3)
% 195.43/32.43    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.43/32.43           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.43/32.43           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.43/32.43                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.43/32.43               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.43/32.43               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.43/32.43           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.43/32.43           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.43/32.43               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.43/32.43           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.43/32.43               = all_57_2 & $i(all_57_2))))
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (6) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.43/32.43  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.43/32.43  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.43/32.43  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 195.43/32.43  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 195.43/32.43  | |            & $i(all_57_5)))
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (7) implies:
% 195.43/32.43  | |   (8)  op(e3, e3) = e2
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #799.
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 195.43/32.43  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.43/32.43  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 195.43/32.43  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.43/32.43  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 195.43/32.43  | |            & $i(all_57_2)))
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (9) implies:
% 195.43/32.43  | |   (10)  op(e2, e2) = e3
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1975.
% 195.43/32.43  | | 
% 195.43/32.43  | End of split
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #528 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)  all_56_12 = e2 & op(e0, e3) = e2
% 195.43/32.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (3)  op(e0, e3) = all_52_3
% 195.43/32.43    (4)   ~ (all_52_3 = e2)
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | ALPHA: (1) implies:
% 195.43/32.43  |   (5)  op(e0, e3) = e2
% 195.43/32.43  | 
% 195.43/32.43  | GROUND_INST: instantiating (2) with all_52_3, e2, e3, e0, simplifying with
% 195.43/32.43  |              (3), (5) gives:
% 195.43/32.43  |   (6)  all_52_3 = e2
% 195.43/32.43  | 
% 195.43/32.43  | REDUCE: (4), (6) imply:
% 195.43/32.43  |   (7)  $false
% 195.43/32.43  | 
% 195.43/32.43  | CLOSE: (7) is inconsistent.
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #529 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)   ~ (e3 = e2)
% 195.43/32.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (3)  op(e2, e2) = all_4_2
% 195.43/32.43    (4)  op(e0, e0) = all_57_15
% 195.43/32.43    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.43/32.43             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.43/32.43           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.43/32.43           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.43/32.43             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.43/32.43           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.43           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.43/32.43    (6)   ~ (all_4_2 = e3)
% 195.43/32.43    (7)  op(e1, e1) = e2
% 195.43/32.43    (8)  op(e0, e0) = e2
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (5) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (9)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.43/32.43  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.43/32.43  | |        $i(all_57_0)
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (9) implies:
% 195.43/32.43  | |   (10)  op(e2, e2) = e3
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1975.
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (11)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 195.43/32.43  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 195.43/32.43  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.43/32.43  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.43/32.43  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (1), (2), (4), (7), (8), (11) are inconsistent by sub-proof #530.
% 195.43/32.43  | | 
% 195.43/32.43  | End of split
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #530 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)   ~ (e3 = e2)
% 195.43/32.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (3)  op(e0, e0) = all_57_15
% 195.43/32.43    (4)  op(e1, e1) = e2
% 195.43/32.43    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.43/32.43             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.43/32.43           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 195.43/32.43           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 195.43/32.43             e2) = e0 & $i(all_57_3))
% 195.43/32.43    (6)  op(e0, e0) = e2
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (5) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.43/32.43  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.43/32.43  | |        $i(all_57_1)
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (7) implies:
% 195.43/32.43  | |   (8)  op(e1, e1) = e3
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1777.
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.43/32.43  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.43/32.43  | |        $i(all_57_3)
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (9) implies:
% 195.43/32.43  | |   (10)   ~ (all_57_15 = e2)
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #748.
% 195.43/32.43  | | 
% 195.43/32.43  | End of split
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #531 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.43/32.43             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.43/32.43           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.43/32.43               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.43/32.43             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.43/32.43         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.43/32.43             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.43/32.43           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.43/32.43               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.43/32.43             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.43/32.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (3)  op(e1, e1) = e2
% 195.43/32.43    (4)   ~ (e2 = e1)
% 195.43/32.43    (5)  op(e0, e0) = e2
% 195.43/32.43    (6)   ~ (e2 = e0)
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (1) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 195.43/32.43  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.43/32.43  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.43/32.43  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.43/32.43  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.43/32.43  | |              e1) = all_57_8 & $i(all_57_8)))
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (7) implies:
% 195.43/32.43  | |   (8)  op(e1, e1) = e1
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1955.
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 195.43/32.43  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.43/32.43  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.43/32.43  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.43/32.43  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.43/32.43  | |              e0) = all_57_13 & $i(all_57_13)))
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (9) implies:
% 195.43/32.43  | |   (10)  op(e0, e0) = e0
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1945.
% 195.43/32.43  | | 
% 195.43/32.43  | End of split
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #532 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.43/32.43           all_57_4 & $i(all_57_4))
% 195.43/32.43    (2)   ~ (all_57_14 = e2)
% 195.43/32.43    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (4)  op(e1, e2) = e1
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (1) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (5)  all_57_14 = e2 & op(e1, e1) = e2
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (5) implies:
% 195.43/32.43  | |   (6)  all_57_14 = e2
% 195.43/32.43  | | 
% 195.43/32.43  | | REDUCE: (2), (6) imply:
% 195.43/32.43  | |   (7)  $false
% 195.43/32.43  | | 
% 195.43/32.43  | | CLOSE: (7) is inconsistent.
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (8)   ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (8) implies:
% 195.43/32.43  | |   (9)   ~ (all_57_4 = e1)
% 195.43/32.43  | |   (10)  op(e1, e2) = all_57_4
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (3), (4), (9), (10) are inconsistent by sub-proof #1303.
% 195.43/32.43  | | 
% 195.43/32.43  | End of split
% 195.43/32.43  | 
% 195.43/32.43  End of proof
% 195.43/32.43  
% 195.43/32.43  Sub-proof #533 shows that the following formulas are inconsistent:
% 195.43/32.43  ----------------------------------------------------------------
% 195.43/32.43    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.43    (2)  op(e2, e2) = all_4_2
% 195.43/32.43    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.43/32.43           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.43/32.43           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.43/32.43                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.43/32.43               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.43/32.43               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.43/32.43           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.43/32.43           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.43/32.43             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.43/32.43           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.43/32.43               = all_57_1 & $i(all_57_1))))
% 195.43/32.43    (4)  op(e3, e3) = e3
% 195.43/32.43    (5)   ~ (all_4_2 = e3)
% 195.43/32.43    (6)  op(e2, e3) = e2
% 195.43/32.43    (7)   ~ (e3 = e0)
% 195.43/32.43  
% 195.43/32.43  Begin of proof
% 195.43/32.43  | 
% 195.43/32.43  | BETA: splitting (3) gives:
% 195.43/32.43  | 
% 195.43/32.43  | Case 1:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (8)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.43/32.43  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.43/32.43  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 195.43/32.43  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 195.43/32.43  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.43/32.43  | |            all_57_13 & $i(all_57_13)))
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (8) implies:
% 195.43/32.43  | |   (9)  op(e3, e3) = e0
% 195.43/32.43  | | 
% 195.43/32.43  | | REF_CLOSE: (1), (4), (7), (9) are inconsistent by sub-proof #1961.
% 195.43/32.43  | | 
% 195.43/32.43  | Case 2:
% 195.43/32.43  | | 
% 195.43/32.43  | |   (10)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 195.43/32.43  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.43/32.43  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.43/32.43  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 195.43/32.43  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.43/32.43  | |             all_57_1 & $i(all_57_1)))
% 195.43/32.43  | | 
% 195.43/32.43  | | ALPHA: (10) implies:
% 195.43/32.44  | |   (11)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 195.43/32.44  | |             e3) = all_57_0 & $i(all_57_0))
% 195.43/32.44  | | 
% 195.43/32.44  | | REF_CLOSE: (1), (2), (5), (6), (11) are inconsistent by sub-proof #534.
% 195.43/32.44  | | 
% 195.43/32.44  | End of split
% 195.43/32.44  | 
% 195.43/32.44  End of proof
% 195.43/32.44  
% 195.43/32.44  Sub-proof #534 shows that the following formulas are inconsistent:
% 195.43/32.44  ----------------------------------------------------------------
% 195.43/32.44    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.44    (2)  op(e2, e2) = all_4_2
% 195.43/32.44    (3)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.43/32.44           all_57_0 & $i(all_57_0))
% 195.43/32.44    (4)   ~ (all_4_2 = e3)
% 195.43/32.44    (5)  op(e2, e3) = e2
% 195.43/32.44  
% 195.43/32.44  Begin of proof
% 195.43/32.44  | 
% 195.43/32.44  | BETA: splitting (3) gives:
% 195.43/32.44  | 
% 195.43/32.44  | Case 1:
% 195.43/32.44  | | 
% 195.43/32.44  | |   (6)  all_57_12 = e3 & op(e2, e2) = e3
% 195.43/32.44  | | 
% 195.43/32.44  | | ALPHA: (6) implies:
% 195.43/32.44  | |   (7)  op(e2, e2) = e3
% 195.43/32.44  | | 
% 195.43/32.44  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1975.
% 195.43/32.44  | | 
% 195.43/32.44  | Case 2:
% 195.43/32.44  | | 
% 195.43/32.44  | |   (8)   ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0)
% 195.43/32.44  | | 
% 195.43/32.44  | | ALPHA: (8) implies:
% 195.43/32.44  | |   (9)  op(e2, e3) = all_57_0
% 195.43/32.44  | | 
% 195.43/32.44  | | GROUND_INST: instantiating (1) with e2, all_57_0, e3, e2, simplifying with
% 195.43/32.44  | |              (5), (9) gives:
% 195.43/32.44  | |   (10)  all_57_0 = e2
% 195.43/32.44  | | 
% 195.43/32.44  | | REF_CLOSE: (1), (2), (3), (4), (10) are inconsistent by sub-proof #1664.
% 195.43/32.44  | | 
% 195.43/32.44  | End of split
% 195.43/32.44  | 
% 195.43/32.44  End of proof
% 195.43/32.44  
% 195.43/32.44  Sub-proof #535 shows that the following formulas are inconsistent:
% 195.43/32.44  ----------------------------------------------------------------
% 195.43/32.44    (1)   ~ (e3 = e2)
% 195.43/32.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.44    (3)  op(e2, e2) = all_4_2
% 195.43/32.44    (4)  op(e3, e2) = e2
% 195.43/32.44    (5)   ~ (all_4_2 = e3)
% 195.43/32.44    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.43/32.44           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.43/32.44           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.43/32.44                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.43/32.44               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.43/32.44               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.43/32.44           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.43/32.44           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.43/32.44               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.43/32.44           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.43/32.44               = all_57_2 & $i(all_57_2))))
% 195.43/32.44  
% 195.43/32.44  Begin of proof
% 195.43/32.44  | 
% 195.43/32.44  | BETA: splitting (6) gives:
% 195.43/32.44  | 
% 195.43/32.44  | Case 1:
% 195.43/32.44  | | 
% 195.43/32.44  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.43/32.44  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.43/32.44  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.43/32.44  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 195.43/32.44  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 195.43/32.44  | |            & $i(all_57_5)))
% 195.43/32.44  | | 
% 195.43/32.44  | | ALPHA: (7) implies:
% 195.43/32.44  | |   (8)  op(e3, e2) = e3
% 195.43/32.44  | | 
% 195.43/32.44  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1927.
% 195.43/32.44  | | 
% 195.43/32.44  | Case 2:
% 195.43/32.44  | | 
% 195.43/32.44  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 195.43/32.44  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.43/32.44  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 195.43/32.44  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.43/32.44  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 195.43/32.44  | |            & $i(all_57_2)))
% 195.43/32.44  | | 
% 195.43/32.44  | | ALPHA: (9) implies:
% 195.43/32.44  | |   (10)  op(e2, e2) = e3
% 195.43/32.44  | | 
% 195.43/32.44  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1975.
% 195.43/32.44  | | 
% 195.43/32.44  | End of split
% 195.43/32.44  | 
% 195.43/32.44  End of proof
% 195.43/32.44  
% 195.43/32.44  Sub-proof #536 shows that the following formulas are inconsistent:
% 195.43/32.44  ----------------------------------------------------------------
% 195.43/32.44    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.43/32.44             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.43/32.44           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.43/32.44           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.43/32.44           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.43/32.44           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.43/32.44    (2)   ~ (e3 = e2)
% 195.43/32.44    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.44    (4)  op(e1, e1) = e2
% 195.43/32.44    (5)  op(e0, e0) = e2
% 195.43/32.44  
% 195.43/32.44  Begin of proof
% 195.43/32.44  | 
% 195.43/32.44  | BETA: splitting (1) gives:
% 195.43/32.44  | 
% 195.43/32.44  | Case 1:
% 195.43/32.44  | | 
% 195.43/32.44  | |   (6)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.43/32.44  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.43/32.44  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 195.43/32.44  | | 
% 195.43/32.44  | | ALPHA: (6) implies:
% 195.43/32.44  | |   (7)  op(e1, e1) = e3
% 195.43/32.44  | | 
% 195.43/32.44  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1777.
% 195.43/32.44  | | 
% 195.43/32.44  | Case 2:
% 195.43/32.44  | | 
% 195.43/32.44  | |   (8)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 195.43/32.44  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.43/32.44  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 195.43/32.44  | | 
% 195.43/32.44  | | ALPHA: (8) implies:
% 195.43/32.44  | |   (9)  op(e0, e0) = e3
% 195.43/32.44  | | 
% 195.43/32.44  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1692.
% 195.43/32.44  | | 
% 195.43/32.44  | End of split
% 195.43/32.44  | 
% 195.43/32.44  End of proof
% 195.43/32.44  
% 195.43/32.44  Sub-proof #537 shows that the following formulas are inconsistent:
% 195.43/32.44  ----------------------------------------------------------------
% 195.43/32.44    (1)   ~ (all_52_7 = e0)
% 195.43/32.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.44    (3)  op(e2, e2) = all_4_2
% 195.43/32.44    (4)  op(e0, e3) = all_52_3
% 195.43/32.44    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.43/32.44             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.43/32.44           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.43/32.44           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.43/32.44             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.43/32.44           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.44           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.43/32.44           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.43/32.44           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.43/32.44           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.43/32.44           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.43/32.44         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.43/32.44             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.44           $i(all_57_7))
% 195.43/32.44    (6)  op(e3, e3) = e3
% 195.43/32.44    (7)   ~ (all_4_2 = e1)
% 195.43/32.44    (8)   ~ (all_4_2 = e3)
% 195.43/32.44    (9)   ~ (all_52_3 = e0)
% 195.43/32.44    (10)   ~ (e3 = e1)
% 195.43/32.44    (11)  op(e0, e2) = all_52_7
% 195.43/32.44  
% 195.43/32.44  Begin of proof
% 195.43/32.44  | 
% 195.43/32.44  | BETA: splitting (5) gives:
% 195.43/32.44  | 
% 195.43/32.44  | Case 1:
% 195.43/32.44  | | 
% 195.43/32.44  | |   (12)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 195.43/32.44  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.43/32.44  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.43/32.44  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.43/32.44  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 195.43/32.44  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.43/32.44  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.43/32.44  | |           $i(all_57_3))
% 195.43/32.44  | | 
% 195.43/32.44  | | REF_CLOSE: (1), (2), (3), (4), (8), (9), (11), (12) are inconsistent by
% 195.43/32.44  | |            sub-proof #816.
% 195.43/32.44  | | 
% 195.43/32.44  | Case 2:
% 195.43/32.44  | | 
% 195.43/32.44  | |   (13)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.43/32.44  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.43/32.44  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.43/32.44  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.43/32.44  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.43/32.44  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.43/32.44  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.44  | |           $i(all_57_7))
% 195.43/32.44  | | 
% 195.43/32.44  | | BETA: splitting (13) gives:
% 195.43/32.44  | | 
% 195.43/32.44  | | Case 1:
% 195.43/32.44  | | | 
% 195.43/32.44  | | |   (14)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.43/32.44  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.43/32.44  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 195.43/32.44  | | | 
% 195.43/32.44  | | | ALPHA: (14) implies:
% 195.43/32.44  | | |   (15)  op(e0, e2) = e0
% 195.43/32.44  | | | 
% 195.43/32.44  | | | REF_CLOSE: (1), (2), (11), (15) are inconsistent by sub-proof #818.
% 195.43/32.44  | | | 
% 195.43/32.44  | | Case 2:
% 195.43/32.44  | | | 
% 195.43/32.44  | | |   (16)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.43/32.44  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.43/32.44  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.43/32.44  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.43/32.44  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.43/32.44  | | | 
% 195.43/32.44  | | | REF_CLOSE: (2), (3), (6), (7), (10), (16) are inconsistent by sub-proof
% 195.43/32.44  | | |            #1954.
% 195.43/32.44  | | | 
% 195.43/32.44  | | End of split
% 195.43/32.44  | | 
% 195.43/32.44  | End of split
% 195.43/32.44  | 
% 195.43/32.44  End of proof
% 195.43/32.44  
% 195.43/32.44  Sub-proof #538 shows that the following formulas are inconsistent:
% 195.43/32.44  ----------------------------------------------------------------
% 195.43/32.44    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.43/32.44         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.43/32.44    (2)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.43/32.44    (3)  all_54_0 = all_6_2
% 195.43/32.44    (4)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.43/32.44         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.43/32.44    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.43/32.44           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.43/32.44           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.43/32.44                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.43/32.44               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.43/32.44               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.43/32.44           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.43/32.44           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.43/32.44               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.43/32.44           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.43/32.44               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.43/32.44           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.43/32.44           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.43/32.44               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.43/32.44               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.43/32.44               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.43/32.44         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.43/32.44           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.43/32.44           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.43/32.44               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.43/32.44             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.43/32.44         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.43/32.44           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.43/32.44           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.43/32.44                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.43/32.44               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.43/32.44               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.43/32.44           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.43/32.44           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.43/32.44             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.43/32.44           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.43/32.44               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.43/32.44           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.43/32.44           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.43/32.44               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.43/32.44               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.43/32.44               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.43/32.44         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.43/32.44           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.43/32.44           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.43/32.44               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.43/32.44             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.43/32.44         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.43/32.44           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.43/32.44           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.43/32.44                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.43/32.44               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.43/32.44               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.43/32.44           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.43/32.44             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.43/32.44               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.43/32.44           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.43/32.44               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.43/32.44           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.43/32.44           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.43/32.44               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.43/32.44               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.43/32.44               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.43/32.44         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.43/32.44           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.43/32.44           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.43/32.44               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.43/32.44             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.43/32.44         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.43/32.44             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.43/32.44           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.43/32.44               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.43/32.44             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.43/32.44         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.43/32.44             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.43/32.44           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.43/32.44               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.43/32.44             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.43/32.44         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.43/32.44             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.43/32.44           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.43/32.44               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.43/32.44             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.43/32.44         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.43/32.44             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.43/32.44           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.43/32.44               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.43/32.44             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.43/32.44    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.43/32.44         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 195.43/32.44    (7)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.43/32.44             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.43/32.44           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.43/32.44               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.43/32.44             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.43/32.44         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.43/32.44             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.43/32.44           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.43/32.44               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.43/32.44             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.43/32.44    (8)  op(e1, e2) = all_52_6
% 195.43/32.44    (9)   ~ (all_52_14 = e0)
% 195.43/32.44    (10)   ~ (all_52_6 = e0)
% 195.43/32.44    (11)  op(e0, e0) = all_14_2
% 195.43/32.44    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.43/32.44          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.43/32.44    (13)   ~ (all_52_8 = all_6_2)
% 195.43/32.44    (14)   ~ (all_14_2 = e1)
% 195.43/32.44    (15)  op(e3, e3) = all_6_2
% 195.43/32.44    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.43/32.44          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.43/32.44    (17)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.43/32.44          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.43/32.44    (18)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.43/32.44          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.43/32.44    (19)   ~ (all_52_6 = all_52_7)
% 195.43/32.44    (20)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.43/32.44          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.43/32.44    (21)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.43/32.44          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.43/32.44    (22)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.43/32.44          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.43/32.44    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.44            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.44    (24)   ~ (all_6_2 = e0)
% 195.43/32.44    (25)   ~ (all_52_13 = all_14_2)
% 195.43/32.44    (26)  op(e3, e2) = all_52_4
% 195.43/32.44    (27)  op(e2, e2) = all_4_2
% 195.43/32.44    (28)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 195.43/32.44          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.43/32.44    (29)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.43/32.44          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.43/32.44    (30)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.43/32.44          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.43/32.44    (31)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 195.43/32.44    (32)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.43/32.44          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.43/32.44    (33)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.43/32.44          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.43/32.44            e1)
% 195.43/32.44    (34)   ~ (all_52_4 = all_6_2)
% 195.43/32.44    (35)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.43/32.44          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.43/32.44            e2)
% 195.43/32.44    (36)  op(e2, e0) = all_52_13
% 195.43/32.44    (37)  op(e1, e0) = all_52_14
% 195.43/32.44    (38)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 195.43/32.44    (39)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.43/32.44          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.43/32.44    (40)   ~ (all_52_12 = all_14_2)
% 195.43/32.44    (41)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.43/32.44              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.43/32.44            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.43/32.44            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.43/32.44            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.43/32.44            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.43/32.44            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.43/32.44            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.43/32.44            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.43/32.44            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.43/32.44            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.43/32.44            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.43/32.44            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.43/32.44            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.43/32.44            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.43/32.44            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.43/32.44            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.43/32.44            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.43/32.44            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.44            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.43/32.44            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.43/32.44            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.43/32.44            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.43/32.44            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.43/32.44            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.43/32.44            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.43/32.44            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.43/32.44            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.43/32.44            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.43/32.44            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.43/32.44            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.43/32.44            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.43/32.44            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.43/32.44            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.43/32.44            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.43/32.44            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.43/32.44            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.43/32.44            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.43/32.44            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.43/32.44            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.43/32.44            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.43/32.44            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.43/32.44            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.43/32.44            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.43/32.44            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.43/32.44            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.43/32.44            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.43/32.44            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.43/32.44              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.43/32.44            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.43/32.44            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.43/32.44              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.43/32.44            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.43/32.44            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.43/32.44                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.43/32.44                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.43/32.44                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.43/32.44                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.43/32.44                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.43/32.44                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.43/32.44                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.43/32.44              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.43/32.44                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.43/32.44                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.43/32.44                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.43/32.44                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.43/32.44                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.43/32.44                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.44                $i(all_57_7))))
% 195.43/32.44    (42)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 195.43/32.44          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 195.43/32.44    (43)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.43/32.44          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.43/32.44    (44)   ~ (all_28_2 = e2) | ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 195.43/32.44            op(e0, e2) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 =
% 195.43/32.44              e3) & op(e0, e2) = all_28_1 & $i(all_28_1))
% 195.43/32.44    (45)   ~ (all_52_4 = all_4_2)
% 195.43/32.44    (46)  op(e0, e1) = all_52_11
% 195.43/32.44    (47)   ~ (all_52_6 = all_52_14)
% 195.43/32.44    (48)   ~ (all_4_2 = e1)
% 195.43/32.44    (49)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.43/32.44          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.43/32.44    (50)   ~ (all_14_2 = e3)
% 195.43/32.44    (51)   ~ (all_4_2 = e3)
% 195.43/32.44    (52)  all_54_15 = all_14_2
% 195.43/32.44    (53)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.43/32.44          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.43/32.44    (54)  op(e1, e1) = e2
% 195.43/32.44    (55)   ~ (all_6_2 = e1)
% 195.43/32.44    (56)   ~ (all_52_12 = all_6_2)
% 195.43/32.44    (57)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.43/32.44          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.43/32.44    (58)   ~ (e1 = e0)
% 195.43/32.44    (59)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 195.43/32.44          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.43/32.44    (60)  all_54_5 = all_4_2
% 195.43/32.44    (61)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.43/32.44          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.43/32.44    (62)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.43/32.44              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.43/32.44                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.43/32.44                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.43/32.44    (63)   ~ (e2 = e1)
% 195.43/32.44    (64)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.43/32.44          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.43/32.44    (65)  op(e1, e0) = e1
% 195.43/32.44    (66)   ~ (all_52_11 = e0)
% 195.43/32.44    (67)   ~ (all_52_13 = all_4_2)
% 195.43/32.45    (68)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.43/32.45          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.43/32.45    (69)  op(e3, e0) = all_52_12
% 195.43/32.45    (70)   ~ (all_52_6 = all_4_2)
% 195.43/32.45    (71)   ~ (all_52_4 = all_52_6)
% 195.43/32.45    (72)  all_28_2 = all_14_2
% 195.43/32.45    (73)  op(e3, e1) = all_52_8
% 195.43/32.45    (74)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.43/32.45          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.43/32.45    (75)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.43/32.45          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.43/32.45    (76)  op(e0, e2) = all_52_7
% 195.43/32.45    (77)   ~ (e2 = e0)
% 195.43/32.45    (78)   ~ (all_6_2 = e2)
% 195.43/32.45  
% 195.43/32.45  Begin of proof
% 195.43/32.45  | 
% 195.43/32.45  | BETA: splitting (7) gives:
% 195.43/32.45  | 
% 195.43/32.45  | Case 1:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (79)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 195.43/32.45  | |             e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.43/32.45  | |             $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.43/32.45  | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.43/32.45  | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.43/32.45  | |               e1) = all_57_8 & $i(all_57_8)))
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (79) implies:
% 195.43/32.45  | |   (80)  op(e1, e1) = e1
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (23), (54), (63), (80) are inconsistent by sub-proof #1955.
% 195.43/32.45  | | 
% 195.43/32.45  | Case 2:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (81)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 195.43/32.45  | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.43/32.45  | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.43/32.45  | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.43/32.45  | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.43/32.45  | |               e0) = all_57_13 & $i(all_57_13)))
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (81) implies:
% 195.43/32.45  | |   (82)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.43/32.45  | |             e0) = all_57_13 & $i(all_57_13))
% 195.43/32.45  | | 
% 195.43/32.45  | | BETA: splitting (82) gives:
% 195.43/32.45  | | 
% 195.43/32.45  | | Case 1:
% 195.43/32.45  | | | 
% 195.43/32.45  | | |   (83)  all_57_14 = e0 & op(e1, e1) = e0
% 195.43/32.45  | | | 
% 195.43/32.45  | | | ALPHA: (83) implies:
% 195.43/32.45  | | |   (84)  op(e1, e1) = e0
% 195.43/32.45  | | | 
% 195.43/32.45  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 195.43/32.45  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 195.43/32.45  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 195.43/32.45  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 195.43/32.45  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 195.43/32.45  | | |            (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 195.43/32.45  | | |            (66), (67), (68), (69), (70), (71), (72), (73), (74), (75),
% 195.43/32.45  | | |            (76), (77), (78), (84) are inconsistent by sub-proof #1489.
% 195.43/32.45  | | | 
% 195.43/32.45  | | Case 2:
% 195.43/32.45  | | | 
% 195.43/32.45  | | |   (85)   ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13)
% 195.43/32.45  | | | 
% 195.43/32.45  | | | ALPHA: (85) implies:
% 195.43/32.45  | | |   (86)   ~ (all_57_13 = e1)
% 195.43/32.45  | | |   (87)  op(e1, e0) = all_57_13
% 195.43/32.45  | | | 
% 195.43/32.45  | | | REF_CLOSE: (23), (65), (86), (87) are inconsistent by sub-proof #1437.
% 195.43/32.45  | | | 
% 195.43/32.45  | | End of split
% 195.43/32.45  | | 
% 195.43/32.45  | End of split
% 195.43/32.45  | 
% 195.43/32.45  End of proof
% 195.43/32.45  
% 195.43/32.45  Sub-proof #539 shows that the following formulas are inconsistent:
% 195.43/32.45  ----------------------------------------------------------------
% 195.43/32.45    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.45    (2)   ~ (all_52_14 = e2)
% 195.43/32.45    (3)  op(e1, e0) = all_52_14
% 195.43/32.45    (4)  op(e0, e0) = e0
% 195.43/32.45    (5)   ~ (e2 = e0)
% 195.43/32.45    (6)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.43/32.45  
% 195.43/32.45  Begin of proof
% 195.43/32.45  | 
% 195.43/32.45  | BETA: splitting (6) gives:
% 195.43/32.45  | 
% 195.43/32.45  | Case 1:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (7)  all_56_11 = e2 & op(e1, e0) = e2
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #760.
% 195.43/32.45  | | 
% 195.43/32.45  | Case 2:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (8) implies:
% 195.43/32.45  | |   (9)  op(e0, e0) = e2
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1945.
% 195.43/32.45  | | 
% 195.43/32.45  | End of split
% 195.43/32.45  | 
% 195.43/32.45  End of proof
% 195.43/32.45  
% 195.43/32.45  Sub-proof #540 shows that the following formulas are inconsistent:
% 195.43/32.45  ----------------------------------------------------------------
% 195.43/32.45    (1)  op(e1, e3) = all_52_2
% 195.43/32.45    (2)  op(e1, e2) = all_52_6
% 195.43/32.45    (3)   ~ (all_52_6 = e0)
% 195.43/32.45    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.43/32.45         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.43/32.45    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.43/32.45         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.43/32.45    (6)  all_56_9 = e2
% 195.43/32.45    (7)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.43/32.45         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.43/32.45    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.43/32.45         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.43/32.45    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.43/32.45         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.43/32.45    (10)   ~ (e3 = e2)
% 195.43/32.45    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.45            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.45    (12)  op(e3, e2) = all_52_4
% 195.43/32.45    (13)  op(e2, e2) = all_4_2
% 195.43/32.45    (14)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 195.43/32.45          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.43/32.45    (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.43/32.45          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.43/32.45    (16)   ~ (all_52_9 = e3)
% 195.43/32.45    (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.43/32.45          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.43/32.45    (18)   ~ (all_52_4 = e2)
% 195.43/32.45    (19)  all_54_9 = all_52_6
% 195.43/32.45    (20)   ~ (all_52_8 = e3)
% 195.43/32.45    (21)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.43/32.45          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.43/32.45    (22)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 195.43/32.45          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 195.43/32.45    (23)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.43/32.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.43/32.45    (24)   ~ (all_52_9 = e2)
% 195.43/32.45    (25)  all_56_11 = e3
% 195.43/32.45    (26)   ~ (all_52_6 = e2)
% 195.43/32.45    (27)  op(e3, e3) = e3
% 195.43/32.45    (28)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.43/32.45            all_57_1 & $i(all_57_1))
% 195.43/32.45    (29)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.43/32.45          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.43/32.45    (30)   ~ (all_4_2 = e3)
% 195.43/32.45    (31)   ~ (all_52_8 = e2)
% 195.43/32.45    (32)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.43/32.45          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.43/32.45    (33)  op(e1, e1) = e2
% 195.43/32.45    (34)   ~ (e1 = e0)
% 195.43/32.45    (35)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.43/32.45          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.43/32.45    (36)   ~ (e2 = e1)
% 195.43/32.45    (37)   ~ (all_52_12 = e1)
% 195.43/32.45    (38)   ~ (all_52_2 = e1)
% 195.43/32.45    (39)  op(e3, e0) = all_52_12
% 195.43/32.45    (40)  op(e2, e1) = all_52_9
% 195.43/32.45    (41)  op(e0, e0) = e0
% 195.43/32.45    (42)  op(e3, e1) = all_52_8
% 195.43/32.45    (43)  op(e2, e2) = e0
% 195.43/32.45    (44)   ~ (e3 = e1)
% 195.43/32.45    (45)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.43/32.45          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.43/32.45    (46)   ~ (all_52_6 = e1)
% 195.43/32.45    (47)   ~ (e2 = e0)
% 195.43/32.45    (48)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.43/32.45    (49)   ~ (e3 = e0)
% 195.43/32.45  
% 195.43/32.45  Begin of proof
% 195.43/32.45  | 
% 195.43/32.45  | BETA: splitting (35) gives:
% 195.43/32.45  | 
% 195.43/32.45  | Case 1:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (50)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 195.43/32.45  | |           e3)
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (11), (16), (20), (40), (42), (50) are inconsistent by sub-proof
% 195.43/32.45  | |            #1757.
% 195.43/32.45  | | 
% 195.43/32.45  | Case 2:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (51)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 195.43/32.45  | |           e3)
% 195.43/32.45  | | 
% 195.43/32.45  | | BETA: splitting (51) gives:
% 195.43/32.45  | | 
% 195.43/32.45  | | Case 1:
% 195.43/32.45  | | | 
% 195.43/32.45  | | |   (52)  all_56_8 = e3 & op(e1, e1) = e3
% 195.43/32.45  | | | 
% 195.43/32.45  | | | ALPHA: (52) implies:
% 195.43/32.45  | | |   (53)  op(e1, e1) = e3
% 195.43/32.45  | | | 
% 195.43/32.45  | | | REF_CLOSE: (10), (11), (33), (53) are inconsistent by sub-proof #1777.
% 195.43/32.45  | | | 
% 195.43/32.45  | | Case 2:
% 195.43/32.45  | | | 
% 195.43/32.45  | | |   (54)  all_56_14 = e3 & op(e0, e1) = e3
% 195.43/32.45  | | | 
% 195.43/32.45  | | | ALPHA: (54) implies:
% 195.43/32.45  | | |   (55)  all_56_14 = e3
% 195.43/32.45  | | | 
% 195.43/32.45  | | | BETA: splitting (29) gives:
% 195.43/32.45  | | | 
% 195.43/32.45  | | | Case 1:
% 195.43/32.45  | | | | 
% 195.43/32.45  | | | |   (56)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2)
% 195.43/32.45  | | | |           = e3)
% 195.43/32.45  | | | | 
% 195.43/32.45  | | | | BETA: splitting (56) gives:
% 195.43/32.45  | | | | 
% 195.43/32.45  | | | | Case 1:
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | |   (57)  all_56_2 = e3 & op(e2, e3) = e3
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | | ALPHA: (57) implies:
% 195.43/32.45  | | | | |   (58)  all_56_2 = e3
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | | REF_CLOSE: (1), (4), (8), (9), (10), (11), (27), (34), (36), (38),
% 195.43/32.45  | | | | |            (44), (47), (49), (58) are inconsistent by sub-proof #1216.
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | Case 2:
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | |   (59)  all_56_3 = e3 & op(e2, e2) = e3
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | | ALPHA: (59) implies:
% 195.43/32.45  | | | | |   (60)  op(e2, e2) = e3
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | | REF_CLOSE: (11), (13), (30), (60) are inconsistent by sub-proof #1975.
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | End of split
% 195.43/32.45  | | | | 
% 195.43/32.45  | | | Case 2:
% 195.43/32.45  | | | | 
% 195.43/32.45  | | | |   (61)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0)
% 195.43/32.45  | | | |           = e3)
% 195.43/32.45  | | | | 
% 195.43/32.45  | | | | BETA: splitting (61) gives:
% 195.43/32.45  | | | | 
% 195.43/32.45  | | | | Case 1:
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | |   (62)  all_56_5 = e3 & op(e2, e1) = e3
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | | ALPHA: (62) implies:
% 195.43/32.45  | | | | |   (63)  op(e2, e1) = e3
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | | REF_CLOSE: (11), (16), (40), (63) are inconsistent by sub-proof #1758.
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | Case 2:
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | |   (64)  all_56_10 = e3 & op(e2, e0) = e3
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | | ALPHA: (64) implies:
% 195.43/32.45  | | | | |   (65)  all_56_10 = e3
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | | BETA: splitting (7) gives:
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | | Case 1:
% 195.43/32.45  | | | | | | 
% 195.43/32.45  | | | | | |   (66)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2,
% 195.43/32.45  | | | | | |             e2) = e2)
% 195.43/32.45  | | | | | | 
% 195.43/32.45  | | | | | | REF_CLOSE: (11), (12), (18), (43), (47), (66) are inconsistent by
% 195.43/32.45  | | | | | |            sub-proof #824.
% 195.43/32.45  | | | | | | 
% 195.43/32.45  | | | | | Case 2:
% 195.43/32.45  | | | | | | 
% 195.43/32.45  | | | | | |   (67)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0,
% 195.43/32.45  | | | | | |             e2) = e2)
% 195.43/32.45  | | | | | | 
% 195.43/32.45  | | | | | | BETA: splitting (67) gives:
% 195.43/32.45  | | | | | | 
% 195.43/32.45  | | | | | | Case 1:
% 195.43/32.45  | | | | | | | 
% 195.43/32.45  | | | | | | |   (68)  all_56_7 = e2 & op(e1, e2) = e2
% 195.43/32.45  | | | | | | | 
% 195.43/32.45  | | | | | | | ALPHA: (68) implies:
% 195.43/32.45  | | | | | | |   (69)  op(e1, e2) = e2
% 195.43/32.45  | | | | | | | 
% 195.43/32.45  | | | | | | | REF_CLOSE: (2), (3), (11), (19), (26), (46), (48), (69) are
% 195.43/32.45  | | | | | | |            inconsistent by sub-proof #543.
% 195.43/32.45  | | | | | | | 
% 195.43/32.45  | | | | | | Case 2:
% 195.43/32.45  | | | | | | | 
% 195.43/32.45  | | | | | | |   (70)  all_56_13 = e2 & op(e0, e2) = e2
% 195.43/32.45  | | | | | | | 
% 195.43/32.45  | | | | | | | ALPHA: (70) implies:
% 195.43/32.45  | | | | | | |   (71)  all_56_13 = e2
% 195.43/32.45  | | | | | | | 
% 195.43/32.45  | | | | | | | BETA: splitting (21) gives:
% 195.43/32.45  | | | | | | | 
% 195.43/32.45  | | | | | | | Case 1:
% 195.43/32.45  | | | | | | | | 
% 195.43/32.45  | | | | | | | |   (72)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 &
% 195.43/32.45  | | | | | | | |           op(e2, e2) = e3)
% 195.43/32.45  | | | | | | | | 
% 195.43/32.45  | | | | | | | | REF_CLOSE: (5), (10), (11), (13), (22), (27), (30), (32), (34),
% 195.43/32.45  | | | | | | | |            (36), (37), (39), (44), (47), (49), (72) are
% 195.43/32.45  | | | | | | | |            inconsistent by sub-proof #890.
% 195.43/32.45  | | | | | | | | 
% 195.43/32.45  | | | | | | | Case 2:
% 195.43/32.45  | | | | | | | | 
% 195.43/32.45  | | | | | | | |   (73)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 195.43/32.45  | | | | | | | |           op(e0, e2) = e3)
% 195.43/32.45  | | | | | | | | 
% 195.43/32.45  | | | | | | | | BETA: splitting (73) gives:
% 195.43/32.45  | | | | | | | | 
% 195.43/32.45  | | | | | | | | Case 1:
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | |   (74)  all_56_7 = e3 & op(e1, e2) = e3
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | ALPHA: (74) implies:
% 195.43/32.45  | | | | | | | | |   (75)  all_56_7 = e3
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | BETA: splitting (23) gives:
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | Case 1:
% 195.43/32.45  | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | |   (76)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 &
% 195.43/32.45  | | | | | | | | | |           op(e1, e2) = e1)
% 195.43/32.45  | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | BETA: splitting (76) gives:
% 195.43/32.45  | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | Case 1:
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | |   (77)  all_56_6 = e1 & op(e1, e3) = e1
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | | ALPHA: (77) implies:
% 195.43/32.45  | | | | | | | | | | |   (78)  all_56_6 = e1
% 195.43/32.45  | | | | | | | | | | |   (79)  op(e1, e3) = e1
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | | REF_CLOSE: (10), (11), (17), (28), (34), (36), (45), (47),
% 195.43/32.45  | | | | | | | | | | |            (49), (75), (78), (79) are inconsistent by
% 195.43/32.45  | | | | | | | | | | |            sub-proof #542.
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | Case 2:
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | |   (80)  all_56_7 = e1 & op(e1, e2) = e1
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | | ALPHA: (80) implies:
% 195.43/32.45  | | | | | | | | | | |   (81)  op(e1, e2) = e1
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | | REF_CLOSE: (2), (11), (46), (81) are inconsistent by
% 195.43/32.45  | | | | | | | | | | |            sub-proof #1970.
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | End of split
% 195.43/32.45  | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | Case 2:
% 195.43/32.45  | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | |   (82)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1
% 195.43/32.45  | | | | | | | | | |           & op(e1, e0) = e1)
% 195.43/32.45  | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | BETA: splitting (82) gives:
% 195.43/32.45  | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | Case 1:
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | |   (83)  all_56_8 = e1 & op(e1, e1) = e1
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | | ALPHA: (83) implies:
% 195.43/32.45  | | | | | | | | | | |   (84)  op(e1, e1) = e1
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | | REF_CLOSE: (10), (11), (15), (24), (31), (36), (40), (42),
% 195.43/32.45  | | | | | | | | | | |            (55), (84) are inconsistent by sub-proof #545.
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | Case 2:
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | |   (85)  all_56_11 = e1 & op(e1, e0) = e1
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | | REF_CLOSE: (25), (44), (85) are inconsistent by sub-proof
% 195.43/32.45  | | | | | | | | | | |            #541.
% 195.43/32.45  | | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | | End of split
% 195.43/32.45  | | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | End of split
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | Case 2:
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | |   (86)  all_56_13 = e3 & op(e0, e2) = e3
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | ALPHA: (86) implies:
% 195.43/32.45  | | | | | | | | |   (87)  all_56_13 = e3
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | COMBINE_EQS: (71), (87) imply:
% 195.43/32.45  | | | | | | | | |   (88)  e3 = e2
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | COMBINE_EQS: (25), (88) imply:
% 195.43/32.45  | | | | | | | | |   (89)  all_56_11 = e2
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | | REF_CLOSE: (6), (11), (14), (34), (36), (41), (44), (65), (89)
% 195.43/32.45  | | | | | | | | |            are inconsistent by sub-proof #1604.
% 195.43/32.45  | | | | | | | | | 
% 195.43/32.45  | | | | | | | | End of split
% 195.43/32.45  | | | | | | | | 
% 195.43/32.45  | | | | | | | End of split
% 195.43/32.45  | | | | | | | 
% 195.43/32.45  | | | | | | End of split
% 195.43/32.45  | | | | | | 
% 195.43/32.45  | | | | | End of split
% 195.43/32.45  | | | | | 
% 195.43/32.45  | | | | End of split
% 195.43/32.45  | | | | 
% 195.43/32.45  | | | End of split
% 195.43/32.45  | | | 
% 195.43/32.45  | | End of split
% 195.43/32.45  | | 
% 195.43/32.45  | End of split
% 195.43/32.45  | 
% 195.43/32.45  End of proof
% 195.43/32.45  
% 195.43/32.45  Sub-proof #541 shows that the following formulas are inconsistent:
% 195.43/32.45  ----------------------------------------------------------------
% 195.43/32.45    (1)  all_56_11 = e1 & op(e1, e0) = e1
% 195.43/32.45    (2)  all_56_11 = e3
% 195.43/32.45    (3)   ~ (e3 = e1)
% 195.43/32.45  
% 195.43/32.45  Begin of proof
% 195.43/32.45  | 
% 195.43/32.45  | ALPHA: (1) implies:
% 195.43/32.45  |   (4)  all_56_11 = e1
% 195.43/32.45  | 
% 195.43/32.45  | COMBINE_EQS: (2), (4) imply:
% 195.43/32.45  |   (5)  e3 = e1
% 195.43/32.45  | 
% 195.43/32.45  | REDUCE: (3), (5) imply:
% 195.43/32.45  |   (6)  $false
% 195.43/32.45  | 
% 195.43/32.45  | CLOSE: (6) is inconsistent.
% 195.43/32.45  | 
% 195.43/32.45  End of proof
% 195.43/32.45  
% 195.43/32.45  Sub-proof #542 shows that the following formulas are inconsistent:
% 195.43/32.45  ----------------------------------------------------------------
% 195.43/32.45    (1)   ~ (e3 = e2)
% 195.43/32.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.45    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.43/32.45         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.43/32.45    (4)  op(e1, e3) = e1
% 195.43/32.45    (5)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.43/32.45           all_57_1 & $i(all_57_1))
% 195.43/32.45    (6)  all_56_7 = e3
% 195.43/32.45    (7)   ~ (e1 = e0)
% 195.43/32.45    (8)  all_56_6 = e1
% 195.43/32.45    (9)   ~ (e2 = e1)
% 195.43/32.45    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.43/32.45          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.43/32.45    (11)   ~ (e2 = e0)
% 195.43/32.45    (12)   ~ (e3 = e0)
% 195.43/32.45  
% 195.43/32.45  Begin of proof
% 195.43/32.45  | 
% 195.43/32.45  | BETA: splitting (5) gives:
% 195.43/32.45  | 
% 195.43/32.45  | Case 1:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (13)  all_57_14 = e3 & op(e1, e1) = e3
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (13) implies:
% 195.43/32.45  | |   (14)  op(e1, e1) = e3
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (11), (12), (14) are
% 195.43/32.45  | |            inconsistent by sub-proof #1772.
% 195.43/32.45  | | 
% 195.43/32.45  | Case 2:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (15)   ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (15) implies:
% 195.43/32.45  | |   (16)   ~ (all_57_1 = e1)
% 195.43/32.45  | |   (17)  op(e1, e3) = all_57_1
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (2), (4), (16), (17) are inconsistent by sub-proof #1326.
% 195.43/32.45  | | 
% 195.43/32.45  | End of split
% 195.43/32.45  | 
% 195.43/32.45  End of proof
% 195.43/32.45  
% 195.43/32.45  Sub-proof #543 shows that the following formulas are inconsistent:
% 195.43/32.45  ----------------------------------------------------------------
% 195.43/32.45    (1)  op(e1, e2) = all_52_6
% 195.43/32.45    (2)   ~ (all_52_6 = e0)
% 195.43/32.45    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.45    (4)  op(e1, e2) = e2
% 195.43/32.45    (5)  all_54_9 = all_52_6
% 195.43/32.45    (6)   ~ (all_52_6 = e2)
% 195.43/32.45    (7)   ~ (all_52_6 = e1)
% 195.43/32.45    (8)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.43/32.45  
% 195.43/32.45  Begin of proof
% 195.43/32.45  | 
% 195.43/32.45  | BETA: splitting (8) gives:
% 195.43/32.45  | 
% 195.43/32.45  | Case 1:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (9)  all_54_9 = e3
% 195.43/32.45  | | 
% 195.43/32.45  | | COMBINE_EQS: (5), (9) imply:
% 195.43/32.45  | |   (10)  all_52_6 = e3
% 195.43/32.45  | | 
% 195.43/32.45  | | SIMP: (10) implies:
% 195.43/32.45  | |   (11)  all_52_6 = e3
% 195.43/32.45  | | 
% 195.43/32.45  | | REDUCE: (6), (11) imply:
% 195.43/32.45  | |   (12)   ~ (e3 = e2)
% 195.43/32.45  | | 
% 195.43/32.45  | | REDUCE: (1), (11) imply:
% 195.43/32.45  | |   (13)  op(e1, e2) = e3
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (3), (4), (12), (13) are inconsistent by sub-proof #823.
% 195.43/32.45  | | 
% 195.43/32.45  | Case 2:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (14)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (2), (5), (6), (7), (14) are inconsistent by sub-proof #951.
% 195.43/32.45  | | 
% 195.43/32.45  | End of split
% 195.43/32.45  | 
% 195.43/32.45  End of proof
% 195.43/32.45  
% 195.43/32.45  Sub-proof #544 shows that the following formulas are inconsistent:
% 195.43/32.45  ----------------------------------------------------------------
% 195.43/32.45    (1)  all_54_6 = all_52_9
% 195.43/32.45    (2)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.43/32.45    (3)   ~ (e3 = e2)
% 195.43/32.45    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.45    (5)   ~ (all_52_9 = e0)
% 195.43/32.45    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.43/32.45         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.43/32.45    (7)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.43/32.45    (8)   ~ (all_52_9 = e2)
% 195.43/32.45    (9)  op(e0, e1) = all_52_11
% 195.43/32.45    (10)  all_56_14 = e3
% 195.43/32.45    (11)   ~ (all_52_8 = e2)
% 195.43/32.45    (12)   ~ (e2 = e1)
% 195.43/32.45    (13)  op(e2, e1) = all_52_9
% 195.43/32.45    (14)  op(e3, e1) = all_52_8
% 195.43/32.45    (15)   ~ (all_52_9 = all_52_11)
% 195.43/32.45  
% 195.43/32.45  Begin of proof
% 195.43/32.45  | 
% 195.43/32.45  | BETA: splitting (7) gives:
% 195.43/32.45  | 
% 195.43/32.45  | Case 1:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (16)  all_56_8 = e1 & op(e1, e1) = e1
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (16) implies:
% 195.43/32.45  | |   (17)  op(e1, e1) = e1
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (3), (4), (6), (8), (10), (11), (12), (13), (14), (17) are
% 195.43/32.45  | |            inconsistent by sub-proof #545.
% 195.43/32.45  | | 
% 195.43/32.45  | Case 2:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (18)  all_56_14 = e1 & op(e0, e1) = e1
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (18) implies:
% 195.43/32.45  | |   (19)  op(e0, e1) = e1
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (1), (2), (4), (5), (8), (9), (15), (19) are inconsistent by
% 195.43/32.45  | |            sub-proof #648.
% 195.43/32.45  | | 
% 195.43/32.45  | End of split
% 195.43/32.45  | 
% 195.43/32.45  End of proof
% 195.43/32.45  
% 195.43/32.45  Sub-proof #545 shows that the following formulas are inconsistent:
% 195.43/32.45  ----------------------------------------------------------------
% 195.43/32.45    (1)  op(e1, e1) = e1
% 195.43/32.45    (2)   ~ (e3 = e2)
% 195.43/32.45    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.45    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.43/32.45         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.43/32.45    (5)   ~ (all_52_9 = e2)
% 195.43/32.45    (6)  all_56_14 = e3
% 195.43/32.45    (7)   ~ (all_52_8 = e2)
% 195.43/32.45    (8)   ~ (e2 = e1)
% 195.43/32.45    (9)  op(e2, e1) = all_52_9
% 195.43/32.45    (10)  op(e3, e1) = all_52_8
% 195.43/32.45  
% 195.43/32.45  Begin of proof
% 195.43/32.45  | 
% 195.43/32.45  | BETA: splitting (4) gives:
% 195.43/32.45  | 
% 195.43/32.45  | Case 1:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 195.43/32.45  | |           e2)
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (3), (5), (7), (9), (10), (11) are inconsistent by sub-proof
% 195.43/32.45  | |            #792.
% 195.43/32.45  | | 
% 195.43/32.45  | Case 2:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (12)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 195.43/32.45  | |           e2)
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (1), (2), (3), (6), (8), (12) are inconsistent by sub-proof
% 195.43/32.45  | |            #1743.
% 195.43/32.45  | | 
% 195.43/32.45  | End of split
% 195.43/32.45  | 
% 195.43/32.45  End of proof
% 195.43/32.45  
% 195.43/32.45  Sub-proof #546 shows that the following formulas are inconsistent:
% 195.43/32.45  ----------------------------------------------------------------
% 195.43/32.45    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.45    (2)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 195.43/32.45             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.43/32.45           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 195.43/32.45           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 195.43/32.45             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 195.43/32.45             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.43/32.45    (3)  op(e2, e2) = all_4_2
% 195.43/32.45    (4)   ~ (all_4_2 = e3)
% 195.43/32.45    (5)  op(e0, e0) = e0
% 195.43/32.45    (6)   ~ (e3 = e0)
% 195.43/32.45  
% 195.43/32.45  Begin of proof
% 195.43/32.45  | 
% 195.43/32.45  | BETA: splitting (2) gives:
% 195.43/32.45  | 
% 195.43/32.45  | Case 1:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (7)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 195.43/32.45  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.43/32.45  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (7) implies:
% 195.43/32.45  | |   (8)  op(e2, e2) = e3
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1975.
% 195.43/32.45  | | 
% 195.43/32.45  | Case 2:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (9)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 195.43/32.45  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.43/32.45  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (9) implies:
% 195.43/32.45  | |   (10)  op(e0, e0) = e3
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (1), (5), (6), (10) are inconsistent by sub-proof #1947.
% 195.43/32.45  | | 
% 195.43/32.45  | End of split
% 195.43/32.45  | 
% 195.43/32.45  End of proof
% 195.43/32.45  
% 195.43/32.45  Sub-proof #547 shows that the following formulas are inconsistent:
% 195.43/32.45  ----------------------------------------------------------------
% 195.43/32.45    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.45    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.43/32.45             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.43/32.45           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 195.43/32.45           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.43/32.45           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.43/32.45           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 195.43/32.45    (3)  op(e3, e3) = e2
% 195.43/32.45    (4)   ~ (e2 = e1)
% 195.43/32.45    (5)  op(e3, e1) = e1
% 195.43/32.45    (6)   ~ (e3 = e1)
% 195.43/32.45  
% 195.43/32.45  Begin of proof
% 195.43/32.45  | 
% 195.43/32.45  | BETA: splitting (2) gives:
% 195.43/32.45  | 
% 195.43/32.45  | Case 1:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.43/32.45  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.43/32.45  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (7) implies:
% 195.43/32.45  | |   (8)  op(e3, e1) = e3
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1624.
% 195.43/32.45  | | 
% 195.43/32.45  | Case 2:
% 195.43/32.45  | | 
% 195.43/32.45  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 195.43/32.45  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.43/32.45  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 195.43/32.45  | | 
% 195.43/32.45  | | ALPHA: (9) implies:
% 195.43/32.45  | |   (10)  op(e3, e3) = e1
% 195.43/32.45  | | 
% 195.43/32.45  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1934.
% 195.43/32.45  | | 
% 195.43/32.45  | End of split
% 195.43/32.45  | 
% 195.43/32.45  End of proof
% 195.43/32.45  
% 195.43/32.45  Sub-proof #548 shows that the following formulas are inconsistent:
% 195.43/32.45  ----------------------------------------------------------------
% 195.43/32.45    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.46    (2)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.43/32.46             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.43/32.46           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 195.43/32.46           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 195.43/32.46             e1) = e0 & $i(all_57_7))
% 195.43/32.46    (3)  op(e3, e3) = e2
% 195.43/32.46    (4)   ~ (e1 = e0)
% 195.43/32.46    (5)   ~ (e2 = e1)
% 195.43/32.46    (6)  op(e2, e2) = e0
% 195.43/32.46  
% 195.43/32.46  Begin of proof
% 195.43/32.46  | 
% 195.43/32.46  | BETA: splitting (2) gives:
% 195.43/32.46  | 
% 195.43/32.46  | Case 1:
% 195.43/32.46  | | 
% 195.43/32.46  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.43/32.46  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.43/32.46  | |        $i(all_57_6)
% 195.43/32.46  | | 
% 195.43/32.46  | | ALPHA: (7) implies:
% 195.43/32.46  | |   (8)  op(e3, e3) = e1
% 195.43/32.46  | | 
% 195.43/32.46  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1934.
% 195.43/32.46  | | 
% 195.43/32.46  | Case 2:
% 195.43/32.46  | | 
% 195.43/32.46  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.43/32.46  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.46  | |        $i(all_57_7)
% 195.43/32.46  | | 
% 195.43/32.46  | | ALPHA: (9) implies:
% 195.43/32.46  | |   (10)  op(e2, e2) = e1
% 195.43/32.46  | | 
% 195.43/32.46  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1909.
% 195.43/32.46  | | 
% 195.43/32.46  | End of split
% 195.43/32.46  | 
% 195.43/32.46  End of proof
% 195.43/32.46  
% 195.43/32.46  Sub-proof #549 shows that the following formulas are inconsistent:
% 195.43/32.46  ----------------------------------------------------------------
% 195.43/32.46    (1)  op(e3, e3) = e0
% 195.43/32.46    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.46    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.43/32.46             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.43/32.46           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 195.43/32.46           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 195.43/32.46             e1) = e0 & $i(all_57_7))
% 195.43/32.46    (4)   ~ (e1 = e0)
% 195.43/32.46    (5)  op(e2, e2) = e0
% 195.43/32.46  
% 195.43/32.46  Begin of proof
% 195.43/32.46  | 
% 195.43/32.46  | BETA: splitting (3) gives:
% 195.43/32.46  | 
% 195.43/32.46  | Case 1:
% 195.43/32.46  | | 
% 195.43/32.46  | |   (6)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.43/32.46  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.43/32.46  | |        $i(all_57_6)
% 195.43/32.46  | | 
% 195.43/32.46  | | ALPHA: (6) implies:
% 195.43/32.46  | |   (7)  op(e3, e3) = e1
% 195.43/32.46  | | 
% 195.43/32.46  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1937.
% 195.43/32.46  | | 
% 195.43/32.46  | Case 2:
% 195.43/32.46  | | 
% 195.43/32.46  | |   (8)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.43/32.46  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.46  | |        $i(all_57_7)
% 195.43/32.46  | | 
% 195.43/32.46  | | ALPHA: (8) implies:
% 195.43/32.46  | |   (9)  op(e2, e2) = e1
% 195.43/32.46  | | 
% 195.43/32.46  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1909.
% 195.43/32.46  | | 
% 195.43/32.46  | End of split
% 195.43/32.46  | 
% 195.43/32.46  End of proof
% 195.43/32.46  
% 195.43/32.46  Sub-proof #550 shows that the following formulas are inconsistent:
% 195.43/32.46  ----------------------------------------------------------------
% 195.43/32.46    (1)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 195.43/32.46             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 195.43/32.46           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.43/32.46         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 195.43/32.46             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 195.43/32.46           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.43/32.46    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.46    (3)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.43/32.46           all_57_13 & $i(all_57_13))
% 195.43/32.46    (4)  op(e2, e2) = e0
% 195.43/32.46    (5)  op(e1, e1) = e3
% 195.43/32.46    (6)   ~ (e3 = e0)
% 195.43/32.46  
% 195.43/32.46  Begin of proof
% 195.43/32.46  | 
% 195.43/32.46  | BETA: splitting (1) gives:
% 195.43/32.46  | 
% 195.43/32.46  | Case 1:
% 195.43/32.46  | | 
% 195.43/32.46  | |   (7)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 195.43/32.46  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 195.43/32.46  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 195.43/32.46  | | 
% 195.43/32.46  | | ALPHA: (7) implies:
% 195.43/32.46  | |   (8)   ~ (all_57_12 = e0)
% 195.43/32.46  | |   (9)  op(e2, e2) = all_57_12
% 195.43/32.46  | | 
% 195.43/32.46  | | REF_CLOSE: (2), (4), (8), (9) are inconsistent by sub-proof #1381.
% 195.43/32.46  | | 
% 195.43/32.46  | Case 2:
% 195.43/32.46  | | 
% 195.43/32.46  | |   (10)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 195.43/32.46  | |           = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 195.43/32.46  | |         all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 195.43/32.46  | | 
% 195.43/32.46  | | ALPHA: (10) implies:
% 195.43/32.46  | |   (11)  op(e1, e0) = e1
% 195.43/32.46  | | 
% 195.43/32.46  | | REF_CLOSE: (2), (3), (5), (6), (11) are inconsistent by sub-proof #1271.
% 195.43/32.46  | | 
% 195.43/32.46  | End of split
% 195.43/32.46  | 
% 195.43/32.46  End of proof
% 195.43/32.46  
% 195.43/32.46  Sub-proof #551 shows that the following formulas are inconsistent:
% 195.43/32.46  ----------------------------------------------------------------
% 195.43/32.46    (1)   ~ (all_52_4 = e3)
% 195.43/32.46    (2)   ~ (all_52_3 = e1)
% 195.43/32.46    (3)  op(e1, e2) = all_52_6
% 195.43/32.46    (4)   ~ (all_52_3 = e2)
% 195.43/32.46    (5)   ~ (all_52_3 = e3)
% 195.43/32.46    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.46    (7)  op(e3, e2) = all_52_4
% 195.43/32.46    (8)  op(e2, e2) = all_4_2
% 195.43/32.46    (9)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.43/32.46    (10)  all_54_12 = all_52_3
% 195.43/32.46    (11)  op(e0, e3) = all_52_3
% 195.43/32.46    (12)  op(e1, e3) = e1
% 195.43/32.46    (13)   ~ (all_4_2 = e3)
% 195.43/32.46    (14)   ~ (e1 = e0)
% 195.43/32.46    (15)   ~ (all_52_1 = e2)
% 195.43/32.46    (16)  op(e2, e2) = e0
% 195.43/32.46    (17)   ~ (all_52_6 = e1)
% 195.43/32.46    (18)  op(e2, e3) = all_52_1
% 195.43/32.46    (19)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.43/32.46              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.43/32.46            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.43/32.46            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.43/32.46            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.43/32.46            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.43/32.46            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.43/32.46            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.43/32.46            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.43/32.46            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.43/32.46            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.43/32.46            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.43/32.46            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.43/32.46            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.43/32.46            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.43/32.46            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.43/32.46            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.43/32.46            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.43/32.46            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.46            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.43/32.46            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.43/32.46            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.43/32.46            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.43/32.46            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.43/32.46            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.43/32.46            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.43/32.46            $i(all_57_10))
% 195.43/32.46  
% 195.43/32.46  Begin of proof
% 195.43/32.46  | 
% 195.43/32.46  | BETA: splitting (19) gives:
% 195.43/32.46  | 
% 195.43/32.46  | Case 1:
% 195.43/32.46  | | 
% 195.43/32.46  | |   (20)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 195.43/32.46  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.43/32.46  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 195.43/32.46  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 195.43/32.46  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.43/32.46  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 195.43/32.46  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 195.43/32.46  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 195.43/32.46  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.43/32.46  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 195.43/32.46  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.43/32.46  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.43/32.46  | | 
% 195.43/32.46  | | BETA: splitting (20) gives:
% 195.43/32.46  | | 
% 195.43/32.46  | | Case 1:
% 195.43/32.46  | | | 
% 195.43/32.46  | | |   (21)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.43/32.46  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.43/32.46  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.43/32.46  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 195.43/32.46  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.43/32.46  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.43/32.46  | | |           $i(all_57_2) & $i(all_57_12))
% 195.43/32.46  | | | 
% 195.43/32.46  | | | REF_CLOSE: (6), (12), (15), (18), (21) are inconsistent by sub-proof #755.
% 195.43/32.46  | | | 
% 195.43/32.46  | | Case 2:
% 195.43/32.46  | | | 
% 195.43/32.46  | | |   (22)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.43/32.46  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.43/32.46  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.43/32.46  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 195.43/32.46  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 195.43/32.46  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.43/32.46  | | |           $i(all_57_2) & $i(all_57_14))
% 195.43/32.46  | | | 
% 195.43/32.46  | | | REF_CLOSE: (2), (4), (5), (6), (8), (9), (10), (11), (13), (22) are
% 195.43/32.46  | | |            inconsistent by sub-proof #567.
% 195.43/32.46  | | | 
% 195.43/32.46  | | End of split
% 195.43/32.46  | | 
% 195.43/32.46  | Case 2:
% 195.43/32.46  | | 
% 195.43/32.46  | |   (23)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 195.43/32.46  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.43/32.46  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.43/32.46  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 195.43/32.46  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.43/32.46  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 195.43/32.46  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 195.43/32.46  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 195.43/32.46  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.43/32.46  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.43/32.46  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.43/32.46  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.43/32.46  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.43/32.46  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.43/32.46  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.43/32.46  | | 
% 195.43/32.46  | | BETA: splitting (23) gives:
% 195.43/32.46  | | 
% 195.43/32.46  | | Case 1:
% 195.43/32.46  | | | 
% 195.43/32.46  | | |   (24)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.43/32.46  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.43/32.46  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.43/32.46  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 195.43/32.46  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 195.43/32.46  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.43/32.46  | | |           $i(all_57_5) & $i(all_57_10))
% 195.43/32.46  | | | 
% 195.43/32.46  | | | REF_CLOSE: (1), (6), (7), (24) are inconsistent by sub-proof #1971.
% 195.43/32.46  | | | 
% 195.43/32.46  | | Case 2:
% 195.43/32.46  | | | 
% 195.43/32.46  | | |   (25)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.43/32.46  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.43/32.46  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.43/32.46  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 195.43/32.46  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 195.43/32.46  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.43/32.46  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 195.43/32.46  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.43/32.46  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.43/32.46  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.43/32.46  | | | 
% 195.43/32.46  | | | REF_CLOSE: (3), (6), (14), (16), (17), (25) are inconsistent by sub-proof
% 195.43/32.46  | | |            #1895.
% 195.43/32.46  | | | 
% 195.43/32.46  | | End of split
% 195.43/32.46  | | 
% 195.43/32.46  | End of split
% 195.43/32.46  | 
% 195.43/32.46  End of proof
% 195.43/32.46  
% 195.43/32.46  Sub-proof #552 shows that the following formulas are inconsistent:
% 195.43/32.46  ----------------------------------------------------------------
% 195.43/32.46    (1)  op(e1, e3) = all_52_2
% 195.43/32.46    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.43/32.46           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.43/32.46           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.43/32.46                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.43/32.46               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.43/32.46               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.43/32.46           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.43/32.46           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.43/32.46               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.43/32.46           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.43/32.46               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.43/32.46           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.43/32.46           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.43/32.46               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.43/32.46               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.43/32.46               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.43/32.46         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.43/32.46           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.43/32.46           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.43/32.46               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.43/32.46             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.43/32.46         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.43/32.46           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.43/32.46           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.43/32.46                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.43/32.46               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.43/32.46               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.43/32.46           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.43/32.46           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.43/32.46             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.43/32.46           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.43/32.46               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.43/32.46           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.43/32.46           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.43/32.46               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.43/32.46               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.43/32.46               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.43/32.46         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.43/32.46           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.43/32.46           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.43/32.46               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.43/32.46             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.43/32.46         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.43/32.46           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.43/32.46           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.43/32.46                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.43/32.46               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.43/32.46               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.43/32.46           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.43/32.46             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.43/32.46               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.43/32.46           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.43/32.46               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.43/32.46           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.43/32.46           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.43/32.46               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.43/32.46               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.43/32.46               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.43/32.46         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.43/32.46           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.43/32.46           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.43/32.46               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.43/32.46             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.43/32.46         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.43/32.46             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.43/32.46           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.43/32.46               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.43/32.46             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.43/32.46         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.43/32.46             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.43/32.46           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.43/32.46               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.43/32.46             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.43/32.46         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.43/32.46             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.43/32.46           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.43/32.46               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.43/32.46             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.43/32.46         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.43/32.46             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.43/32.46           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.43/32.46               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.43/32.46             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.43/32.46    (3)  all_54_4 = all_52_1
% 195.43/32.46    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.43/32.46         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.43/32.46    (5)   ~ (all_52_1 = e0)
% 195.43/32.46    (6)   ~ (all_52_11 = e1)
% 195.43/32.46    (7)  all_54_6 = all_52_9
% 195.43/32.46    (8)   ~ (all_52_1 = all_52_9)
% 195.43/32.46    (9)  op(e0, e0) = e1
% 195.43/32.46    (10)  op(e1, e2) = e1
% 195.43/32.46    (11)  all_54_2 = all_52_8
% 195.43/32.46    (12)   ~ (e3 = e2)
% 195.43/32.46    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.43/32.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.43/32.46    (14)  op(e2, e2) = all_4_2
% 195.43/32.46    (15)   ~ (all_52_9 = e3)
% 195.43/32.46    (16)  all_56_12 = e3
% 195.43/32.46    (17)   ~ (all_52_8 = e3)
% 195.43/32.46    (18)  op(e0, e3) = all_52_3
% 195.43/32.46    (19)  op(e2, e0) = all_52_13
% 195.43/32.46    (20)  op(e1, e0) = all_52_14
% 195.43/32.46    (21)  all_54_8 = all_52_2
% 195.43/32.46    (22)  op(e3, e0) = e0
% 195.43/32.46    (23)   ~ (all_52_8 = all_52_9)
% 195.43/32.46    (24)   ~ (all_52_2 = all_52_14)
% 195.43/32.46    (25)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.43/32.46              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.43/32.46            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.43/32.46            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.43/32.46            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.43/32.46            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.43/32.46            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.43/32.46            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.43/32.46            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.43/32.46            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.43/32.46            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.43/32.46            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.43/32.46            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.43/32.46            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.43/32.46            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.43/32.46            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.43/32.46            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.43/32.46            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.43/32.46            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.43/32.46            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.43/32.46            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.43/32.46            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.43/32.46            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.43/32.46            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.43/32.46            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.43/32.46            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.43/32.46            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.43/32.46            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.43/32.46            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.43/32.46            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.43/32.46            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.43/32.46            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.43/32.46            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.43/32.46            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.43/32.46            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.43/32.46            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.43/32.46            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.43/32.46            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.43/32.46            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.43/32.46            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.43/32.46            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.43/32.46            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.43/32.46            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.43/32.46            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.43/32.46            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.43/32.46            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.43/32.46            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.43/32.46            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.43/32.46              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.43/32.46            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.43/32.46            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.43/32.46              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.43/32.46            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.43/32.46            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.43/32.46                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.43/32.46                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.43/32.46                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.43/32.46                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.43/32.46                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.43/32.46                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.43/32.46                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.43/32.46              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.43/32.46                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.43/32.46                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.43/32.46                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.43/32.46                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.43/32.46                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.43/32.46                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.43/32.46                $i(all_57_7))))
% 195.43/32.46    (26)   ~ (all_52_2 = e2)
% 195.43/32.46    (27)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.43/32.46    (28)  all_56_6 = e0
% 195.43/32.46    (29)  op(e0, e1) = all_52_11
% 195.43/32.46    (30)   ~ (all_52_2 = e3)
% 195.43/32.46    (31)   ~ (all_52_14 = e1)
% 195.43/32.46    (32)   ~ (all_4_2 = e3)
% 195.43/32.46    (33)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.43/32.46    (34)   ~ (all_52_8 = e2)
% 195.43/32.46    (35)   ~ (all_52_1 = e3)
% 195.43/32.46    (36)  all_54_14 = e1 | all_54_14 = e0
% 195.43/32.46    (37)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.43/32.46    (38)   ~ (all_52_11 = e3)
% 195.43/32.46    (39)  all_56_2 = e1
% 195.43/32.46    (40)   ~ (all_52_8 = all_52_11)
% 195.43/32.46    (41)  all_56_5 = e2 & op(e2, e1) = e2
% 195.43/32.46    (42)   ~ (all_52_1 = e2)
% 195.43/32.46    (43)  all_54_14 = all_52_11
% 195.43/32.46    (44)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 195.43/32.46            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 195.43/32.46              e1) = all_16_1 & $i(all_16_1))
% 195.43/32.46    (45)  op(e2, e1) = all_52_9
% 195.43/32.46    (46)   ~ (all_52_1 = all_52_2)
% 195.43/32.46    (47)   ~ (all_52_13 = e0)
% 195.43/32.46    (48)  all_54_4 = e1 | all_54_4 = e0
% 195.43/32.46    (49)  op(e3, e1) = all_52_8
% 195.43/32.46    (50)  op(e2, e2) = e0
% 195.43/32.46    (51)   ~ (all_52_9 = all_52_13)
% 195.43/32.46    (52)  op(e1, e1) = e3
% 195.43/32.46    (53)  op(e2, e3) = all_52_1
% 195.43/32.46    (54)   ~ (all_52_3 = all_52_11)
% 195.43/32.46    (55)   ~ (all_52_11 = e2)
% 195.43/32.46  
% 195.43/32.46  Begin of proof
% 195.43/32.46  | 
% 195.43/32.46  | ALPHA: (41) implies:
% 195.43/32.46  |   (56)  op(e2, e1) = e2
% 195.43/32.46  | 
% 195.43/32.46  | BETA: splitting (48) gives:
% 195.43/32.46  | 
% 195.43/32.46  | Case 1:
% 195.43/32.46  | | 
% 195.43/32.46  | |   (57)  all_54_4 = e1
% 195.43/32.46  | | 
% 195.43/32.46  | | COMBINE_EQS: (3), (57) imply:
% 195.43/32.46  | |   (58)  all_52_1 = e1
% 195.43/32.46  | | 
% 195.43/32.46  | | SIMP: (58) implies:
% 195.43/32.46  | |   (59)  all_52_1 = e1
% 195.43/32.46  | | 
% 195.43/32.46  | | REDUCE: (46), (59) imply:
% 195.43/32.46  | |   (60)   ~ (all_52_2 = e1)
% 195.43/32.46  | | 
% 195.43/32.46  | | SIMP: (60) implies:
% 195.43/32.46  | |   (61)   ~ (all_52_2 = e1)
% 195.43/32.46  | | 
% 195.43/32.46  | | REDUCE: (8), (59) imply:
% 195.43/32.46  | |   (62)   ~ (all_52_9 = e1)
% 195.43/32.46  | | 
% 195.43/32.46  | | SIMP: (62) implies:
% 195.43/32.46  | |   (63)   ~ (all_52_9 = e1)
% 195.43/32.46  | | 
% 195.43/32.46  | | REDUCE: (35), (59) imply:
% 195.43/32.46  | |   (64)   ~ (e3 = e1)
% 195.43/32.46  | | 
% 195.43/32.46  | | SIMP: (64) implies:
% 195.43/32.46  | |   (65)   ~ (e3 = e1)
% 195.43/32.46  | | 
% 195.43/32.46  | | REDUCE: (42), (59) imply:
% 195.43/32.46  | |   (66)   ~ (e2 = e1)
% 195.43/32.46  | | 
% 195.43/32.46  | | SIMP: (66) implies:
% 195.43/32.46  | |   (67)   ~ (e2 = e1)
% 195.43/32.46  | | 
% 195.43/32.46  | | BETA: splitting (33) gives:
% 195.43/32.46  | | 
% 195.43/32.46  | | Case 1:
% 195.43/32.46  | | | 
% 195.43/32.46  | | |   (68)  all_54_8 = e3
% 195.43/32.46  | | | 
% 195.43/32.46  | | | COMBINE_EQS: (21), (68) imply:
% 195.43/32.46  | | |   (69)  all_52_2 = e3
% 195.43/32.46  | | | 
% 195.43/32.46  | | | REDUCE: (30), (69) imply:
% 195.43/32.46  | | |   (70)  $false
% 195.43/32.46  | | | 
% 195.43/32.46  | | | CLOSE: (70) is inconsistent.
% 195.43/32.46  | | | 
% 195.43/32.46  | | Case 2:
% 195.43/32.46  | | | 
% 195.43/32.46  | | |   (71)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.43/32.46  | | | 
% 195.43/32.46  | | | BETA: splitting (71) gives:
% 195.43/32.46  | | | 
% 195.43/32.46  | | | Case 1:
% 195.43/32.46  | | | | 
% 195.43/32.46  | | | |   (72)  all_54_8 = e2
% 195.43/32.46  | | | | 
% 195.43/32.46  | | | | COMBINE_EQS: (21), (72) imply:
% 195.43/32.46  | | | |   (73)  all_52_2 = e2
% 195.43/32.46  | | | | 
% 195.43/32.46  | | | | REDUCE: (26), (73) imply:
% 195.43/32.46  | | | |   (74)  $false
% 195.43/32.46  | | | | 
% 195.43/32.46  | | | | CLOSE: (74) is inconsistent.
% 195.43/32.46  | | | | 
% 195.43/32.46  | | | Case 2:
% 195.43/32.46  | | | | 
% 195.43/32.46  | | | |   (75)  all_54_8 = e1 | all_54_8 = e0
% 195.43/32.46  | | | | 
% 195.43/32.46  | | | | BETA: splitting (75) gives:
% 195.43/32.46  | | | | 
% 195.43/32.46  | | | | Case 1:
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | |   (76)  all_54_8 = e1
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | | COMBINE_EQS: (21), (76) imply:
% 195.43/32.46  | | | | |   (77)  all_52_2 = e1
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | | REDUCE: (61), (77) imply:
% 195.43/32.46  | | | | |   (78)  $false
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | | CLOSE: (78) is inconsistent.
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | Case 2:
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | |   (79)  all_54_8 = e0
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | | COMBINE_EQS: (21), (79) imply:
% 195.43/32.46  | | | | |   (80)  all_52_2 = e0
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | | REDUCE: (24), (80) imply:
% 195.43/32.46  | | | | |   (81)   ~ (all_52_14 = e0)
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | | SIMP: (81) implies:
% 195.43/32.46  | | | | |   (82)   ~ (all_52_14 = e0)
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | | BETA: splitting (36) gives:
% 195.43/32.46  | | | | | 
% 195.43/32.46  | | | | | Case 1:
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | |   (83)  all_54_14 = e1
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | REF_CLOSE: (6), (43), (83) are inconsistent by sub-proof #1739.
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | Case 2:
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | |   (84)  all_54_14 = e0
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | COMBINE_EQS: (43), (84) imply:
% 195.43/32.46  | | | | | |   (85)  all_52_11 = e0
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | SIMP: (85) implies:
% 195.43/32.46  | | | | | |   (86)  all_52_11 = e0
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | REDUCE: (40), (86) imply:
% 195.43/32.46  | | | | | |   (87)   ~ (all_52_8 = e0)
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | REDUCE: (38), (86) imply:
% 195.43/32.46  | | | | | |   (88)   ~ (e3 = e0)
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | SIMP: (88) implies:
% 195.43/32.46  | | | | | |   (89)   ~ (e3 = e0)
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | REDUCE: (55), (86) imply:
% 195.43/32.46  | | | | | |   (90)   ~ (e2 = e0)
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | SIMP: (90) implies:
% 195.43/32.46  | | | | | |   (91)   ~ (e2 = e0)
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | REDUCE: (6), (86) imply:
% 195.43/32.46  | | | | | |   (92)   ~ (e1 = e0)
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | SIMP: (92) implies:
% 195.43/32.46  | | | | | |   (93)   ~ (e1 = e0)
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | REDUCE: (29), (86) imply:
% 195.43/32.46  | | | | | |   (94)  op(e0, e1) = e0
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | BETA: splitting (2) gives:
% 195.43/32.46  | | | | | | 
% 195.43/32.46  | | | | | | Case 1:
% 195.43/32.46  | | | | | | | 
% 195.43/32.47  | | | | | | |   (95)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 195.43/32.47  | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 195.43/32.47  | | | | | | |             e2) = all_57_12 & $i(all_57_12) & ((all_57_14 = e2 &
% 195.43/32.47  | | | | | | |               op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.43/32.47  | | | | | | |               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.43/32.47  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 195.43/32.47  | | | | | | |               = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 195.43/32.47  | | | | | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10
% 195.43/32.47  | | | | | | |           & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.43/32.47  | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 195.43/32.47  | | | | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.43/32.47  | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 195.43/32.47  | | | | | | |             | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.43/32.47  | | | | | | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.43/32.47  | | | | | | |           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 195.43/32.47  | | | | | | |           op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 195.43/32.47  | | | | | | |           & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.43/32.47  | | | | | | |                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.43/32.47  | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 195.43/32.47  | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.43/32.47  | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 195.43/32.47  | | | | | | |             e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 195.43/32.47  | | | | | | |           op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 195.43/32.47  | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.43/32.47  | | | | | | |               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 &
% 195.43/32.47  | | | | | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.43/32.47  | | | | | | |               = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 &
% 195.43/32.47  | | | | | | |           all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.43/32.47  | | | | | | |           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 195.43/32.47  | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2,
% 195.43/32.47  | | | | | | |                 e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.43/32.47  | | | | | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 &
% 195.43/32.47  | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 195.43/32.47  | | | | | | |               = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 195.43/32.47  | | | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10
% 195.43/32.47  | | | | | | |           & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.43/32.47  | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | (
% 195.43/32.47  | | | | | | |               ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.43/32.47  | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 195.43/32.47  | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.43/32.47  | | | | | | |               $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.43/32.47  | | | | | | |           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 195.43/32.47  | | | | | | |           op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 195.43/32.47  | | | | | | |           & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.43/32.47  | | | | | | |                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.43/32.47  | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 195.43/32.47  | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.43/32.47  | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2,
% 195.43/32.47  | | | | | | |             e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 &
% 195.43/32.47  | | | | | | |           op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 195.43/32.47  | | | | | | |               op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.43/32.47  | | | | | | |               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 &
% 195.43/32.47  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 195.43/32.47  | | | | | | |               = all_57_5 & $i(all_57_5))))
% 195.43/32.47  | | | | | | | 
% 195.43/32.47  | | | | | | | BETA: splitting (95) gives:
% 195.43/32.47  | | | | | | | 
% 195.43/32.47  | | | | | | | Case 1:
% 195.43/32.47  | | | | | | | | 
% 195.43/32.47  | | | | | | | |   (96)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 195.43/32.47  | | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 195.43/32.47  | | | | | | | |           op(e2, e2) = all_57_12 & $i(all_57_12) & ((all_57_14 =
% 195.43/32.47  | | | | | | | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.43/32.47  | | | | | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.43/32.47  | | | | | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 195.43/32.47  | | | | | | | |                 e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.43/32.47  | | | | | | | |         (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3,
% 195.43/32.47  | | | | | | | |             e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2
% 195.43/32.47  | | | | | | | |           & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 = e3 &
% 195.43/32.47  | | | | | | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 195.43/32.47  | | | | | | | |                 e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 195.43/32.47  | | | | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.43/32.47  | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.43/32.47  | | | | | | | |         (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3,
% 195.43/32.47  | | | | | | | |             e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.43/32.47  | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 =
% 195.43/32.47  | | | | | | | |               e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.48/32.47  | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.48/32.47  | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 195.48/32.47  | | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.47  | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 195.48/32.47  | | | | | | | |             e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1
% 195.48/32.47  | | | | | | | |           & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 195.48/32.47  | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 195.48/32.47  | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 195.48/32.47  | | | | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.48/32.47  | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | | BETA: splitting (96) gives:
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | | Case 1:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | |   (97)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.48/32.47  | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3
% 195.48/32.47  | | | | | | | | |           & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.48/32.47  | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.48/32.47  | | | | | | | | |                 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 195.48/32.47  | | | | | | | | |           & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 195.48/32.47  | | | | | | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.48/32.47  | | | | | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2
% 195.48/32.47  | | | | | | | | |           & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.48/32.47  | | | | | | | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.48/32.47  | | | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 195.48/32.47  | | | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.48/32.47  | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.48/32.47  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.48/32.47  | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | REF_CLOSE: (10), (12), (13), (14), (32), (52), (97) are
% 195.48/32.47  | | | | | | | | |            inconsistent by sub-proof #716.
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | Case 2:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | |   (98)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.48/32.47  | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3
% 195.48/32.47  | | | | | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.48/32.47  | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.48/32.47  | | | | | | | | |                 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 195.48/32.47  | | | | | | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.48/32.47  | | | | | | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.48/32.47  | | | | | | | | |               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 195.48/32.47  | | | | | | | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.48/32.47  | | | | | | | | |             e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.48/32.47  | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3)
% 195.48/32.47  | | | | | | | | |             | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.48/32.47  | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.48/32.47  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.48/32.47  | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | BETA: splitting (98) gives:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | Case 1:
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | |   (99)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.48/32.47  | | | | | | | | | |         op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3
% 195.48/32.47  | | | | | | | | | |         & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.48/32.47  | | | | | | | | | |         ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.48/32.47  | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 195.48/32.47  | | | | | | | | | |         & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.48/32.47  | | | | | | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.48/32.47  | | | | | | | | | |             $i(all_57_8)))
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | ALPHA: (99) implies:
% 195.48/32.47  | | | | | | | | | |   (100)  op(e3, e3) = e1
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | REF_CLOSE: (4), (12), (13), (16), (28), (39), (67), (91),
% 195.48/32.47  | | | | | | | | | |            (100) are inconsistent by sub-proof #554.
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | Case 2:
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | |   (101)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.48/32.47  | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.48/32.47  | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.48/32.47  | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.48/32.47  | | | | | | | | | |                = e2) & op(e2, e3) = all_57_0 &
% 195.48/32.47  | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 195.48/32.47  | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.48/32.47  | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | ALPHA: (101) implies:
% 195.48/32.47  | | | | | | | | | |   (102)  op(e1, e3) = e1
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | REF_CLOSE: (1), (13), (61), (102) are inconsistent by
% 195.48/32.47  | | | | | | | | | |            sub-proof #1974.
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | End of split
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | End of split
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | Case 2:
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | |   (103)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.48/32.47  | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 195.48/32.47  | | | | | | | |            op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 195.48/32.47  | | | | | | | |                = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 195.48/32.47  | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.48/32.47  | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 195.48/32.47  | | | | | | | |                  = e1) & op(e1, e0) = all_57_13 &
% 195.48/32.47  | | | | | | | |                $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0
% 195.48/32.47  | | | | | | | |            & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.48/32.47  | | | | | | | |              e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.48/32.47  | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.48/32.47  | | | | | | | |              ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.48/32.47  | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) =
% 195.48/32.47  | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 195.48/32.47  | | | | | | | |                & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 =
% 195.48/32.47  | | | | | | | |            e2 & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.47  | | | | | | | |            e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.48/32.47  | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.48/32.47  | | | | | | | |              ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.48/32.47  | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) =
% 195.48/32.47  | | | | | | | |                e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 195.48/32.47  | | | | | | | |                & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 =
% 195.48/32.47  | | | | | | | |            e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 195.48/32.47  | | | | | | | |              e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.48/32.47  | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.48/32.47  | | | | | | | |              ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.48/32.47  | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 195.48/32.47  | | | | | | | |                e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 195.48/32.47  | | | | | | | |                & $i(all_57_5))))
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | | BETA: splitting (103) gives:
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | | Case 1:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | |   (104)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.48/32.47  | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3
% 195.48/32.47  | | | | | | | | |            & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.47  | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.47  | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 195.48/32.47  | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.48/32.47  | | | | | | | | |                all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 195.48/32.47  | | | | | | | | |            all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 195.48/32.47  | | | | | | | | |            all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.48/32.47  | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3
% 195.48/32.47  | | | | | | | | |                & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.48/32.47  | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.48/32.47  | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 195.48/32.47  | | | | | | | | |                  = e1) & op(e1, e3) = all_57_1 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_1))))
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | BETA: splitting (104) gives:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | Case 1:
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | |   (105)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.48/32.47  | | | | | | | | | |          op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3
% 195.48/32.47  | | | | | | | | | |          & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.47  | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.47  | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.48/32.47  | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 195.48/32.47  | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.48/32.47  | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | ALPHA: (105) implies:
% 195.48/32.47  | | | | | | | | | |   (106)  op(e3, e0) = e3
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | REF_CLOSE: (13), (22), (89), (106) are inconsistent by
% 195.48/32.47  | | | | | | | | | |            sub-proof #1793.
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | Case 2:
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | |   (107)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.48/32.47  | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 195.48/32.47  | | | | | | | | | |            e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.48/32.47  | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.48/32.47  | | | | | | | | | |                = e2) & op(e2, e3) = all_57_0 &
% 195.48/32.47  | | | | | | | | | |              $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 195.48/32.47  | | | | | | | | | |              = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.48/32.47  | | | | | | | | | |              all_57_1 & $i(all_57_1)))
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | ALPHA: (107) implies:
% 195.48/32.47  | | | | | | | | | |   (108)  op(e0, e3) = e0
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | REF_CLOSE: (13), (18), (29), (54), (94), (108) are
% 195.48/32.47  | | | | | | | | | |            inconsistent by sub-proof #1671.
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | End of split
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | Case 2:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | |   (109)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.48/32.47  | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2
% 195.48/32.47  | | | | | | | | |            & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.48/32.47  | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 195.48/32.47  | | | | | | | | |                  = e3) & op(e3, e1) = all_57_6 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 195.48/32.47  | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.48/32.47  | | | | | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 &
% 195.48/32.47  | | | | | | | | |            all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 195.48/32.47  | | | | | | | | |            all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 &
% 195.48/32.47  | | | | | | | | |            op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2
% 195.48/32.47  | | | | | | | | |                & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.48/32.47  | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.47  | | | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.48/32.47  | | | | | | | | |                  = e0) & op(e0, e2) = all_57_5 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_5))))
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | REF_CLOSE: (13), (45), (50), (63), (93), (109) are
% 195.48/32.47  | | | | | | | | |            inconsistent by sub-proof #1368.
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | End of split
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | End of split
% 195.48/32.47  | | | | | | | 
% 195.48/32.47  | | | | | | Case 2:
% 195.48/32.47  | | | | | | | 
% 195.48/32.47  | | | | | | |   (110)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 195.48/32.47  | | | | | | |              e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 195.48/32.47  | | | | | | |              e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 195.48/32.47  | | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 195.48/32.47  | | | | | | |                = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.48/32.47  | | | | | | |                op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.47  | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 =
% 195.48/32.47  | | | | | | |            e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.48/32.47  | | | | | | |            all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.48/32.47  | | | | | | |              e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3,
% 195.48/32.47  | | | | | | |                  e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.48/32.47  | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 195.48/32.47  | | | | | | |                op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.48/32.47  | | | | | | |                = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 195.48/32.47  | | | | | | |            all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.48/32.47  | | | | | | |            op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 195.48/32.47  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 195.48/32.47  | | | | | | |                  e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 195.48/32.47  | | | | | | |                all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.48/32.47  | | | | | | |                op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.48/32.47  | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) | (all_57_8 =
% 195.48/32.47  | | | | | | |            e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.48/32.47  | | | | | | |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 195.48/32.47  | | | | | | |              e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3,
% 195.48/32.47  | | | | | | |                  e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.48/32.47  | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 195.48/32.47  | | | | | | |                op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.48/32.47  | | | | | | |                = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 &
% 195.48/32.47  | | | | | | |            op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.48/32.47  | | | | | | |              ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.48/32.47  | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) =
% 195.48/32.47  | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.48/32.47  | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.48/32.47  | | | | | | |                e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.48/32.47  | | | | | | |                $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2
% 195.48/32.47  | | | | | | |            & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 195.48/32.47  | | | | | | |                  e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.47  | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.48/32.47  | | | | | | |                  e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.48/32.47  | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 195.48/32.47  | | | | | | |                  e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.48/32.47  | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 195.48/32.47  | | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.48/32.47  | | | | | | |                = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 195.48/32.47  | | | | | | |                op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.48/32.47  | | | | | | |                = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.48/32.47  | | | | | | |                op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 195.48/32.47  | | | | | | |                = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 195.48/32.47  | | | | | | |            op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.48/32.47  | | | | | | |              ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.47  | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) =
% 195.48/32.47  | | | | | | |                e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11
% 195.48/32.47  | | | | | | |                & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 195.48/32.47  | | | | | | |                e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.48/32.47  | | | | | | |                & $i(all_57_13))))
% 195.48/32.47  | | | | | | | 
% 195.48/32.47  | | | | | | | BETA: splitting (110) gives:
% 195.48/32.47  | | | | | | | 
% 195.48/32.47  | | | | | | | Case 1:
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | |   (111)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.48/32.47  | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 195.48/32.47  | | | | | | | |            op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10
% 195.48/32.47  | | | | | | | |                = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.48/32.47  | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.48/32.47  | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 195.48/32.47  | | | | | | | |                  = e1) & op(e1, e0) = all_57_13 &
% 195.48/32.47  | | | | | | | |                $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 =
% 195.48/32.47  | | | | | | | |            e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 195.48/32.47  | | | | | | | |              e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.48/32.47  | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.48/32.47  | | | | | | | |              ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.48/32.47  | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) =
% 195.48/32.47  | | | | | | | |                e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 195.48/32.47  | | | | | | | |                & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 =
% 195.48/32.47  | | | | | | | |            e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 195.48/32.47  | | | | | | | |            e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.48/32.47  | | | | | | | |            $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.48/32.47  | | | | | | | |              ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.47  | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) =
% 195.48/32.47  | | | | | | | |                e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.48/32.47  | | | | | | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 195.48/32.47  | | | | | | | |            all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.48/32.47  | | | | | | | |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 195.48/32.47  | | | | | | | |            op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 &
% 195.48/32.47  | | | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 195.48/32.47  | | | | | | | |                  e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 195.48/32.47  | | | | | | | |                e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.48/32.47  | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | | BETA: splitting (111) gives:
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | | Case 1:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | |   (112)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.48/32.47  | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2
% 195.48/32.47  | | | | | | | | |            & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.47  | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.48/32.47  | | | | | | | | |                  = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.48/32.47  | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.48/32.47  | | | | | | | | |                all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 195.48/32.47  | | | | | | | | |            all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.48/32.47  | | | | | | | | |            all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 195.48/32.47  | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_12) & ((all_57_10 = e2
% 195.48/32.47  | | | | | | | | |                & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.48/32.47  | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.47  | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.48/32.47  | | | | | | | | |                  = e1) & op(e1, e2) = all_57_4 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_4))))
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | REF_CLOSE: (13), (19), (45), (47), (51), (56), (112) are
% 195.48/32.47  | | | | | | | | |            inconsistent by sub-proof #709.
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | Case 2:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | |   (113)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.48/32.47  | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1
% 195.48/32.47  | | | | | | | | |            & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.47  | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.48/32.47  | | | | | | | | |                  = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 195.48/32.47  | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.48/32.47  | | | | | | | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 195.48/32.47  | | | | | | | | |            all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.48/32.47  | | | | | | | | |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 195.48/32.47  | | | | | | | | |            op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1
% 195.48/32.47  | | | | | | | | |                & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.48/32.47  | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.48/32.47  | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.48/32.47  | | | | | | | | |                  = e2) & op(e2, e1) = all_57_7 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_7))))
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | REF_CLOSE: (6), (13), (20), (29), (82), (113) are inconsistent
% 195.48/32.47  | | | | | | | | |            by sub-proof #1883.
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | End of split
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | Case 2:
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | |   (114)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 195.48/32.47  | | | | | | | |                op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 195.48/32.47  | | | | | | | |                  e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 195.48/32.47  | | | | | | | |                e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.48/32.47  | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.48/32.47  | | | | | | | |            ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 195.48/32.47  | | | | | | | |                  e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.48/32.47  | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 &
% 195.48/32.47  | | | | | | | |                op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 195.48/32.47  | | | | | | | |                  e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 195.48/32.47  | | | | | | | |                e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.48/32.47  | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.48/32.47  | | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 195.48/32.47  | | | | | | | |                  e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.48/32.47  | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 195.48/32.47  | | | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 195.48/32.47  | | | | | | | |                  e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 195.48/32.47  | | | | | | | |                e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.48/32.47  | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.48/32.47  | | | | | | | |            ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 195.48/32.47  | | | | | | | |                  e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.47  | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 &
% 195.48/32.47  | | | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 195.48/32.47  | | | | | | | |                  e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 195.48/32.47  | | | | | | | |                e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 195.48/32.47  | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.48/32.47  | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 195.48/32.47  | | | | | | | |                  = e1) & op(e1, e0) = all_57_13 &
% 195.48/32.47  | | | | | | | |                $i(all_57_13))))
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | | BETA: splitting (114) gives:
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | | Case 1:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | |   (115)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3
% 195.48/32.47  | | | | | | | | |                & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.48/32.47  | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.48/32.47  | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 195.48/32.47  | | | | | | | | |                  = e1) & op(e1, e3) = all_57_1 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.48/32.47  | | | | | | | | |                = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.48/32.47  | | | | | | | | |                all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 195.48/32.47  | | | | | | | | |            op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 195.48/32.47  | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.48/32.47  | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 195.48/32.47  | | | | | | | | |                op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 195.48/32.47  | | | | | | | | |                  e2) = all_57_4 & $i(all_57_4))) & ((all_57_15
% 195.48/32.47  | | | | | | | | |                = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.48/32.47  | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | BETA: splitting (115) gives:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | Case 1:
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | |   (116)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3
% 195.48/32.47  | | | | | | | | | |              & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.48/32.47  | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.48/32.47  | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 195.48/32.47  | | | | | | | | | |                = e1) & op(e1, e3) = all_57_1 &
% 195.48/32.47  | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.48/32.47  | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.48/32.47  | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | ALPHA: (116) implies:
% 195.48/32.47  | | | | | | | | | |   (117)  op(e3, e3) = e3
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | REF_CLOSE: (2), (7), (8), (9), (10), (11), (13), (14), (15),
% 195.48/32.47  | | | | | | | | | |            (17), (19), (20), (22), (23), (25), (27), (29),
% 195.48/32.47  | | | | | | | | | |            (31), (32), (34), (37), (40), (44), (45), (49),
% 195.48/32.47  | | | | | | | | | |            (50), (51), (52), (53), (56), (82), (87), (89),
% 195.48/32.47  | | | | | | | | | |            (94), (117) are inconsistent by sub-proof #865.
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | Case 2:
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | |   (118)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2
% 195.48/32.47  | | | | | | | | | |              & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.48/32.47  | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.47  | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.48/32.47  | | | | | | | | | |                = e1) & op(e1, e2) = all_57_4 &
% 195.48/32.47  | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.48/32.47  | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.48/32.47  | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | ALPHA: (118) implies:
% 195.48/32.47  | | | | | | | | | |   (119)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.48/32.47  | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | | REF_CLOSE: (10), (12), (13), (52), (119) are inconsistent by
% 195.48/32.47  | | | | | | | | | |            sub-proof #879.
% 195.48/32.47  | | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | End of split
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | Case 2:
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | |   (120)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1
% 195.48/32.47  | | | | | | | | |                & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.48/32.47  | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.48/32.47  | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.48/32.47  | | | | | | | | |                  = e2) & op(e2, e1) = all_57_7 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.48/32.47  | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.48/32.47  | | | | | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 195.48/32.47  | | | | | | | | |            op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 195.48/32.47  | | | | | | | | |                e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 195.48/32.47  | | | | | | | | |                all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.48/32.47  | | | | | | | | |                op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 195.48/32.47  | | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.48/32.47  | | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 195.48/32.47  | | | | | | | | |                (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.48/32.47  | | | | | | | | |                $i(all_57_13))))
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | | REF_CLOSE: (9), (13), (52), (65), (93), (120) are inconsistent
% 195.48/32.47  | | | | | | | | |            by sub-proof #866.
% 195.48/32.47  | | | | | | | | | 
% 195.48/32.47  | | | | | | | | End of split
% 195.48/32.47  | | | | | | | | 
% 195.48/32.47  | | | | | | | End of split
% 195.48/32.47  | | | | | | | 
% 195.48/32.47  | | | | | | End of split
% 195.48/32.47  | | | | | | 
% 195.48/32.47  | | | | | End of split
% 195.48/32.47  | | | | | 
% 195.48/32.47  | | | | End of split
% 195.48/32.47  | | | | 
% 195.48/32.47  | | | End of split
% 195.48/32.47  | | | 
% 195.48/32.47  | | End of split
% 195.48/32.47  | | 
% 195.48/32.47  | Case 2:
% 195.48/32.47  | | 
% 195.48/32.47  | |   (121)  all_54_4 = e0
% 195.48/32.47  | | 
% 195.48/32.47  | | REF_CLOSE: (3), (5), (121) are inconsistent by sub-proof #1831.
% 195.48/32.47  | | 
% 195.48/32.47  | End of split
% 195.48/32.47  | 
% 195.48/32.47  End of proof
% 195.48/32.47  
% 195.48/32.47  Sub-proof #553 shows that the following formulas are inconsistent:
% 195.48/32.47  ----------------------------------------------------------------
% 195.48/32.47    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.48/32.47         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.47    (2)   ~ (all_52_7 = e0)
% 195.48/32.48    (3)   ~ (all_52_3 = e1)
% 195.48/32.48    (4)   ~ (all_52_11 = e1)
% 195.48/32.48    (5)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.48/32.48         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.48/32.48    (6)  all_54_2 = all_52_8
% 195.48/32.48    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.48/32.48         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.48/32.48    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.48    (9)  all_56_4 = e0 & op(e3, e1) = e0
% 195.48/32.48    (10)  op(e3, e2) = all_52_4
% 195.48/32.48    (11)  op(e2, e2) = all_4_2
% 195.48/32.48    (12)   ~ (all_52_7 = all_52_11)
% 195.48/32.48    (13)   ~ (all_52_4 = all_52_8)
% 195.48/32.48    (14)  all_54_13 = all_52_7
% 195.48/32.48    (15)  all_56_11 = e2
% 195.48/32.48    (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.48/32.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.48/32.48    (17)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.48          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.48/32.48            e1)
% 195.48/32.48    (18)  all_56_12 = e3
% 195.48/32.48    (19)   ~ (all_52_8 = e3)
% 195.48/32.48    (20)  op(e0, e3) = all_52_3
% 195.48/32.48    (21)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.48/32.48          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.48/32.48            e2)
% 195.48/32.48    (22)  all_56_4 = e1
% 195.48/32.48    (23)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.48/32.48          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.48/32.48    (24)   ~ (all_52_7 = e1)
% 195.48/32.48    (25)   ~ (all_4_2 = e3)
% 195.48/32.48    (26)   ~ (all_52_8 = e2)
% 195.48/32.48    (27)  op(e3, e3) = e2
% 195.48/32.48    (28)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.48/32.48    (29)   ~ (e1 = e0)
% 195.48/32.48    (30)   ~ (all_52_11 = e3)
% 195.48/32.48    (31)  all_56_2 = e1
% 195.48/32.48    (32)   ~ (all_52_8 = all_52_11)
% 195.48/32.48    (33)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.48/32.48    (34)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.48/32.48    (35)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.48              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.48/32.48                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.48/32.48                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.48/32.48    (36)   ~ (e2 = e1)
% 195.48/32.48    (37)  all_54_14 = all_52_11
% 195.48/32.48    (38)   ~ (all_52_7 = e3)
% 195.48/32.48    (39)  op(e2, e2) = e0
% 195.48/32.48    (40)   ~ (e3 = e1)
% 195.48/32.48    (41)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.48/32.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.48/32.48    (42)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.48/32.48          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.48/32.48    (43)  op(e0, e2) = all_52_7
% 195.48/32.48    (44)  op(e1, e1) = e3
% 195.48/32.48    (45)   ~ (e3 = e0)
% 195.48/32.48  
% 195.48/32.48  Begin of proof
% 195.48/32.48  | 
% 195.48/32.48  | ALPHA: (9) implies:
% 195.48/32.48  |   (46)  all_56_4 = e0
% 195.48/32.48  | 
% 195.48/32.48  | COMBINE_EQS: (22), (46) imply:
% 195.48/32.48  |   (47)  e1 = e0
% 195.48/32.48  | 
% 195.48/32.48  | COMBINE_EQS: (31), (47) imply:
% 195.48/32.48  |   (48)  all_56_2 = e0
% 195.48/32.48  | 
% 195.48/32.48  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 195.48/32.48  |            (14), (15), (16), (17), (18), (19), (20), (21), (23), (24), (25),
% 195.48/32.48  |            (26), (27), (28), (29), (30), (32), (33), (34), (35), (36), (37),
% 195.48/32.48  |            (38), (39), (40), (41), (42), (43), (44), (45), (48) are
% 195.48/32.48  |            inconsistent by sub-proof #555.
% 195.48/32.48  | 
% 195.48/32.48  End of proof
% 195.48/32.48  
% 195.48/32.48  Sub-proof #554 shows that the following formulas are inconsistent:
% 195.48/32.48  ----------------------------------------------------------------
% 195.48/32.48    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.48/32.48         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.48/32.48    (2)   ~ (e3 = e2)
% 195.48/32.48    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.48    (4)  op(e3, e3) = e1
% 195.48/32.48    (5)  all_56_12 = e3
% 195.48/32.48    (6)  all_56_6 = e0
% 195.48/32.48    (7)  all_56_2 = e1
% 195.48/32.48    (8)   ~ (e2 = e1)
% 195.48/32.48    (9)   ~ (e2 = e0)
% 195.48/32.48  
% 195.48/32.48  Begin of proof
% 195.48/32.48  | 
% 195.48/32.48  | BETA: splitting (1) gives:
% 195.48/32.48  | 
% 195.48/32.48  | Case 1:
% 195.48/32.48  | | 
% 195.48/32.48  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 195.48/32.48  | |           e2)
% 195.48/32.48  | | 
% 195.48/32.48  | | REF_CLOSE: (3), (4), (7), (8), (10) are inconsistent by sub-proof #1854.
% 195.48/32.48  | | 
% 195.48/32.48  | Case 2:
% 195.48/32.48  | | 
% 195.48/32.48  | |   (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 195.48/32.48  | |           e2)
% 195.48/32.48  | | 
% 195.48/32.48  | | REF_CLOSE: (2), (5), (6), (9), (11) are inconsistent by sub-proof #1847.
% 195.48/32.48  | | 
% 195.48/32.48  | End of split
% 195.48/32.48  | 
% 195.48/32.48  End of proof
% 195.48/32.48  
% 195.48/32.48  Sub-proof #555 shows that the following formulas are inconsistent:
% 195.48/32.48  ----------------------------------------------------------------
% 195.48/32.48    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.48/32.48         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.48    (2)   ~ (all_52_7 = e0)
% 195.48/32.48    (3)   ~ (all_52_3 = e1)
% 195.48/32.48    (4)   ~ (all_52_11 = e1)
% 195.48/32.48    (5)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.48/32.48         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.48/32.48    (6)  all_54_2 = all_52_8
% 195.48/32.48    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.48/32.48         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.48/32.48    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.48    (9)  op(e3, e2) = all_52_4
% 195.48/32.48    (10)  op(e2, e2) = all_4_2
% 195.48/32.48    (11)   ~ (all_52_7 = all_52_11)
% 195.48/32.48    (12)   ~ (all_52_4 = all_52_8)
% 195.48/32.48    (13)  all_54_13 = all_52_7
% 195.48/32.48    (14)  all_56_11 = e2
% 195.48/32.48    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.48/32.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.48/32.48    (16)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.48          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.48/32.48            e1)
% 195.48/32.48    (17)  all_56_12 = e3
% 195.48/32.48    (18)   ~ (all_52_8 = e3)
% 195.48/32.48    (19)  op(e0, e3) = all_52_3
% 195.48/32.48    (20)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.48/32.48          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.48/32.48            e2)
% 195.48/32.48    (21)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.48/32.48          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.48/32.48    (22)   ~ (all_52_7 = e1)
% 195.48/32.48    (23)   ~ (all_4_2 = e3)
% 195.48/32.48    (24)   ~ (all_52_8 = e2)
% 195.48/32.48    (25)  op(e3, e3) = e2
% 195.48/32.48    (26)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.48/32.48    (27)   ~ (e1 = e0)
% 195.48/32.48    (28)   ~ (all_52_11 = e3)
% 195.48/32.48    (29)   ~ (all_52_8 = all_52_11)
% 195.48/32.48    (30)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.48/32.48    (31)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.48/32.48    (32)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.48              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.48/32.48                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.48/32.48                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.48/32.48    (33)   ~ (e2 = e1)
% 195.48/32.48    (34)  all_54_14 = all_52_11
% 195.48/32.48    (35)  all_56_2 = e0
% 195.48/32.48    (36)   ~ (all_52_7 = e3)
% 195.48/32.48    (37)  op(e2, e2) = e0
% 195.48/32.48    (38)   ~ (e3 = e1)
% 195.48/32.48    (39)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.48/32.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.48/32.48    (40)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.48/32.48          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.48/32.48    (41)  op(e0, e2) = all_52_7
% 195.48/32.48    (42)  op(e1, e1) = e3
% 195.48/32.48    (43)   ~ (e3 = e0)
% 195.48/32.48  
% 195.48/32.48  Begin of proof
% 195.48/32.48  | 
% 195.48/32.48  | BETA: splitting (7) gives:
% 195.48/32.48  | 
% 195.48/32.48  | Case 1:
% 195.48/32.48  | | 
% 195.48/32.48  | |   (44)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 195.48/32.48  | |           e1)
% 195.48/32.48  | | 
% 195.48/32.48  | | REF_CLOSE: (8), (25), (27), (33), (35), (44) are inconsistent by sub-proof
% 195.48/32.48  | |            #594.
% 195.48/32.48  | | 
% 195.48/32.48  | Case 2:
% 195.48/32.48  | | 
% 195.48/32.48  | |   (45)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 195.48/32.48  | |           e1)
% 195.48/32.48  | | 
% 195.48/32.48  | | BETA: splitting (45) gives:
% 195.48/32.48  | | 
% 195.48/32.48  | | Case 1:
% 195.48/32.48  | | | 
% 195.48/32.48  | | |   (46)  all_56_6 = e1 & op(e1, e3) = e1
% 195.48/32.48  | | | 
% 195.48/32.48  | | | ALPHA: (46) implies:
% 195.48/32.48  | | |   (47)  all_56_6 = e1
% 195.48/32.48  | | | 
% 195.48/32.48  | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 195.48/32.48  | | |            (14), (15), (16), (17), (18), (20), (21), (22), (23), (24),
% 195.48/32.48  | | |            (26), (27), (28), (29), (30), (31), (32), (34), (36), (37),
% 195.48/32.48  | | |            (38), (39), (40), (41), (42), (43), (47) are inconsistent by
% 195.48/32.48  | | |            sub-proof #556.
% 195.48/32.48  | | | 
% 195.48/32.48  | | Case 2:
% 195.48/32.48  | | | 
% 195.48/32.48  | | |   (48)  all_56_12 = e1 & op(e0, e3) = e1
% 195.48/32.48  | | | 
% 195.48/32.48  | | | ALPHA: (48) implies:
% 195.48/32.48  | | |   (49)  op(e0, e3) = e1
% 195.48/32.48  | | | 
% 195.48/32.48  | | | REF_CLOSE: (3), (8), (19), (49) are inconsistent by sub-proof #1950.
% 195.48/32.48  | | | 
% 195.48/32.48  | | End of split
% 195.48/32.48  | | 
% 195.48/32.48  | End of split
% 195.48/32.48  | 
% 195.48/32.48  End of proof
% 195.48/32.48  
% 195.48/32.48  Sub-proof #556 shows that the following formulas are inconsistent:
% 195.48/32.48  ----------------------------------------------------------------
% 195.48/32.48    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.48/32.48         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.48    (2)   ~ (all_52_7 = e0)
% 195.48/32.48    (3)   ~ (all_52_11 = e1)
% 195.48/32.48    (4)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.48/32.48         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.48/32.48    (5)  all_54_2 = all_52_8
% 195.48/32.48    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.48    (7)  op(e3, e2) = all_52_4
% 195.48/32.48    (8)  op(e2, e2) = all_4_2
% 195.48/32.48    (9)   ~ (all_52_7 = all_52_11)
% 195.48/32.48    (10)   ~ (all_52_4 = all_52_8)
% 195.48/32.48    (11)  all_54_13 = all_52_7
% 195.48/32.48    (12)  all_56_11 = e2
% 195.48/32.48    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.48/32.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.48/32.48    (14)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.48          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.48/32.48            e1)
% 195.48/32.48    (15)  all_56_12 = e3
% 195.48/32.48    (16)   ~ (all_52_8 = e3)
% 195.48/32.48    (17)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.48/32.48          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.48/32.48            e2)
% 195.48/32.48    (18)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.48/32.48          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.48/32.48    (19)   ~ (all_52_7 = e1)
% 195.48/32.48    (20)   ~ (all_4_2 = e3)
% 195.48/32.48    (21)   ~ (all_52_8 = e2)
% 195.48/32.48    (22)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.48/32.48    (23)   ~ (e1 = e0)
% 195.48/32.48    (24)   ~ (all_52_11 = e3)
% 195.48/32.48    (25)  all_56_6 = e1
% 195.48/32.48    (26)   ~ (all_52_8 = all_52_11)
% 195.48/32.48    (27)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.48/32.48    (28)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.48/32.48    (29)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.48              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.48/32.48                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.48/32.48                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.48/32.48    (30)  all_54_14 = all_52_11
% 195.48/32.48    (31)   ~ (all_52_7 = e3)
% 195.48/32.48    (32)  op(e2, e2) = e0
% 195.48/32.48    (33)   ~ (e3 = e1)
% 195.48/32.48    (34)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.48/32.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.48/32.48    (35)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.48/32.48          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.48/32.48    (36)  op(e0, e2) = all_52_7
% 195.48/32.48    (37)  op(e1, e1) = e3
% 195.48/32.48    (38)   ~ (e3 = e0)
% 195.48/32.48  
% 195.48/32.48  Begin of proof
% 195.48/32.48  | 
% 195.48/32.48  | BETA: splitting (28) gives:
% 195.48/32.48  | 
% 195.48/32.48  | Case 1:
% 195.48/32.48  | | 
% 195.48/32.48  | |   (39)  all_54_13 = e3
% 195.48/32.48  | | 
% 195.48/32.48  | | COMBINE_EQS: (11), (39) imply:
% 195.48/32.48  | |   (40)  all_52_7 = e3
% 195.48/32.48  | | 
% 195.48/32.48  | | REDUCE: (31), (40) imply:
% 195.48/32.48  | |   (41)  $false
% 195.48/32.48  | | 
% 195.48/32.48  | | CLOSE: (41) is inconsistent.
% 195.48/32.48  | | 
% 195.48/32.48  | Case 2:
% 195.48/32.48  | | 
% 195.48/32.48  | |   (42)   ~ (all_54_13 = e3)
% 195.48/32.48  | |   (43)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.48/32.48  | | 
% 195.48/32.48  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 195.48/32.48  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 195.48/32.48  | |            (24), (25), (26), (27), (29), (30), (31), (32), (33), (34), (35),
% 195.48/32.48  | |            (36), (37), (38), (43) are inconsistent by sub-proof #557.
% 195.48/32.48  | | 
% 195.48/32.48  | End of split
% 195.48/32.48  | 
% 195.48/32.48  End of proof
% 195.48/32.48  
% 195.48/32.48  Sub-proof #557 shows that the following formulas are inconsistent:
% 195.48/32.48  ----------------------------------------------------------------
% 195.48/32.48    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.48/32.48         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.48    (2)   ~ (all_52_7 = e0)
% 195.48/32.48    (3)   ~ (all_52_11 = e1)
% 195.48/32.48    (4)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.48/32.48         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.48/32.48    (5)  all_54_2 = all_52_8
% 195.48/32.48    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.48    (7)  op(e3, e2) = all_52_4
% 195.48/32.48    (8)  op(e2, e2) = all_4_2
% 195.48/32.48    (9)   ~ (all_52_7 = all_52_11)
% 195.48/32.48    (10)   ~ (all_52_4 = all_52_8)
% 195.48/32.48    (11)  all_54_13 = all_52_7
% 195.48/32.48    (12)  all_56_11 = e2
% 195.48/32.48    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.48/32.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.48/32.48    (14)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.48          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.48/32.48            e1)
% 195.48/32.48    (15)  all_56_12 = e3
% 195.48/32.48    (16)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.48/32.48    (17)   ~ (all_52_8 = e3)
% 195.48/32.48    (18)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.48/32.48          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.48/32.48            e2)
% 195.48/32.48    (19)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.48/32.48          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.48/32.48    (20)   ~ (all_52_7 = e1)
% 195.48/32.48    (21)   ~ (all_4_2 = e3)
% 195.48/32.48    (22)   ~ (all_52_8 = e2)
% 195.48/32.48    (23)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.48/32.48    (24)   ~ (e1 = e0)
% 195.48/32.48    (25)   ~ (all_52_11 = e3)
% 195.48/32.48    (26)  all_56_6 = e1
% 195.48/32.48    (27)   ~ (all_52_8 = all_52_11)
% 195.48/32.48    (28)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.48/32.48    (29)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.48              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.48/32.48                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.48/32.48                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.48/32.48    (30)  all_54_14 = all_52_11
% 195.48/32.48    (31)   ~ (all_52_7 = e3)
% 195.48/32.48    (32)  op(e2, e2) = e0
% 195.48/32.48    (33)   ~ (e3 = e1)
% 195.48/32.48    (34)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.48/32.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.48/32.48    (35)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.48/32.48          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.48/32.48    (36)  op(e0, e2) = all_52_7
% 195.48/32.48    (37)  op(e1, e1) = e3
% 195.48/32.48    (38)   ~ (e3 = e0)
% 195.48/32.48  
% 195.48/32.48  Begin of proof
% 195.48/32.48  | 
% 195.48/32.48  | BETA: splitting (16) gives:
% 195.48/32.48  | 
% 195.48/32.48  | Case 1:
% 195.48/32.48  | | 
% 195.48/32.48  | |   (39)  all_54_13 = e2
% 195.48/32.48  | | 
% 195.48/32.48  | | COMBINE_EQS: (11), (39) imply:
% 195.48/32.48  | |   (40)  all_52_7 = e2
% 195.48/32.48  | | 
% 195.48/32.48  | | REDUCE: (9), (40) imply:
% 195.48/32.48  | |   (41)   ~ (all_52_11 = e2)
% 195.48/32.48  | | 
% 195.48/32.48  | | SIMP: (41) implies:
% 195.48/32.48  | |   (42)   ~ (all_52_11 = e2)
% 195.48/32.48  | | 
% 195.48/32.48  | | REDUCE: (31), (40) imply:
% 195.48/32.48  | |   (43)   ~ (e3 = e2)
% 195.48/32.48  | | 
% 195.48/32.48  | | SIMP: (43) implies:
% 195.48/32.48  | |   (44)   ~ (e3 = e2)
% 195.48/32.48  | | 
% 195.48/32.48  | | REDUCE: (20), (40) imply:
% 195.48/32.48  | |   (45)   ~ (e2 = e1)
% 195.48/32.48  | | 
% 195.48/32.48  | | REDUCE: (2), (40) imply:
% 195.48/32.48  | |   (46)   ~ (e2 = e0)
% 195.48/32.48  | | 
% 195.48/32.48  | | BETA: splitting (19) gives:
% 195.48/32.48  | | 
% 195.48/32.48  | | Case 1:
% 195.48/32.48  | | | 
% 195.48/32.48  | | |   (47)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 195.48/32.48  | | |           e3)
% 195.48/32.48  | | | 
% 195.48/32.48  | | | BETA: splitting (47) gives:
% 195.48/32.48  | | | 
% 195.48/32.48  | | | Case 1:
% 195.48/32.48  | | | | 
% 195.48/32.48  | | | |   (48)  all_56_1 = e3 & op(e3, e2) = e3
% 195.48/32.48  | | | | 
% 195.48/32.48  | | | | ALPHA: (48) implies:
% 195.48/32.48  | | | |   (49)  op(e3, e2) = e3
% 195.48/32.48  | | | | 
% 195.48/32.48  | | | | BETA: splitting (28) gives:
% 195.48/32.48  | | | | 
% 195.48/32.48  | | | | Case 1:
% 195.48/32.48  | | | | | 
% 195.48/32.48  | | | | |   (50)  all_54_14 = e3
% 195.48/32.48  | | | | | 
% 195.48/32.48  | | | | | COMBINE_EQS: (30), (50) imply:
% 195.48/32.48  | | | | |   (51)  all_52_11 = e3
% 195.48/32.48  | | | | | 
% 195.48/32.48  | | | | | REDUCE: (25), (51) imply:
% 195.48/32.49  | | | | |   (52)  $false
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | | CLOSE: (52) is inconsistent.
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | Case 2:
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | |   (53)   ~ (all_54_14 = e3)
% 195.48/32.49  | | | | |   (54)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | | BETA: splitting (13) gives:
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | | Case 1:
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | |   (55)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1,
% 195.48/32.49  | | | | | |             e2) = e0)
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | | BETA: splitting (55) gives:
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | | Case 1:
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | |   (56)  all_56_6 = e0 & op(e1, e3) = e0
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | REF_CLOSE: (24), (26), (56) are inconsistent by sub-proof #1776.
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | Case 2:
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | |   (57)  all_56_7 = e0 & op(e1, e2) = e0
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | ALPHA: (57) implies:
% 195.48/32.49  | | | | | | |   (58)  all_56_7 = e0
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | BETA: splitting (54) gives:
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | Case 1:
% 195.48/32.49  | | | | | | | | 
% 195.48/32.49  | | | | | | | |   (59)  all_54_14 = e2
% 195.48/32.49  | | | | | | | | 
% 195.48/32.49  | | | | | | | | REF_CLOSE: (30), (42), (59) are inconsistent by sub-proof #1740.
% 195.48/32.49  | | | | | | | | 
% 195.48/32.49  | | | | | | | Case 2:
% 195.48/32.49  | | | | | | | | 
% 195.48/32.49  | | | | | | | |   (60)   ~ (all_54_14 = e2)
% 195.48/32.49  | | | | | | | |   (61)  all_54_14 = e1 | all_54_14 = e0
% 195.48/32.49  | | | | | | | | 
% 195.48/32.49  | | | | | | | | BETA: splitting (61) gives:
% 195.48/32.49  | | | | | | | | 
% 195.48/32.49  | | | | | | | | Case 1:
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | |   (62)  all_54_14 = e1
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | REF_CLOSE: (3), (30), (62) are inconsistent by sub-proof
% 195.48/32.49  | | | | | | | | |            #1739.
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | Case 2:
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | |   (63)  all_54_14 = e0
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | COMBINE_EQS: (30), (63) imply:
% 195.48/32.49  | | | | | | | | |   (64)  all_52_11 = e0
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | SIMP: (64) implies:
% 195.48/32.49  | | | | | | | | |   (65)  all_52_11 = e0
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | REDUCE: (27), (65) imply:
% 195.48/32.49  | | | | | | | | |   (66)   ~ (all_52_8 = e0)
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | REDUCE: (25), (65) imply:
% 195.48/32.49  | | | | | | | | |   (67)   ~ (e3 = e0)
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | REDUCE: (42), (65) imply:
% 195.48/32.49  | | | | | | | | |   (68)   ~ (e2 = e0)
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | REDUCE: (3), (65) imply:
% 195.48/32.49  | | | | | | | | |   (69)   ~ (e1 = e0)
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | BETA: splitting (23) gives:
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | Case 1:
% 195.48/32.49  | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | |   (70)  all_54_2 = e3
% 195.48/32.49  | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | REF_CLOSE: (5), (17), (70) are inconsistent by sub-proof
% 195.48/32.49  | | | | | | | | | |            #1762.
% 195.48/32.49  | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | Case 2:
% 195.48/32.49  | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | |   (71)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.48/32.49  | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | BETA: splitting (71) gives:
% 195.48/32.49  | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | Case 1:
% 195.48/32.49  | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | |   (72)  all_54_2 = e2
% 195.48/32.49  | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | REF_CLOSE: (5), (22), (72) are inconsistent by sub-proof
% 195.48/32.49  | | | | | | | | | | |            #1761.
% 195.48/32.49  | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | Case 2:
% 195.48/32.49  | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | |   (73)  all_54_2 = e1 | all_54_2 = e0
% 195.48/32.49  | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | BETA: splitting (1) gives:
% 195.48/32.49  | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | Case 1:
% 195.48/32.49  | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | |   (74)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 195.48/32.49  | | | | | | | | | | | |           & op(e2, e2) = e1)
% 195.48/32.49  | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | BETA: splitting (74) gives:
% 195.48/32.49  | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | Case 1:
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | |   (75)  all_56_1 = e1 & op(e3, e2) = e1
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (10), (66), (73), (75) are
% 195.48/32.49  | | | | | | | | | | | | |            inconsistent by sub-proof #1388.
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | Case 2:
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | |   (76)  all_56_3 = e1 & op(e2, e2) = e1
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | | ALPHA: (76) implies:
% 195.48/32.49  | | | | | | | | | | | | |   (77)  op(e2, e2) = e1
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | | REF_CLOSE: (6), (24), (32), (77) are inconsistent by
% 195.48/32.49  | | | | | | | | | | | | |            sub-proof #1909.
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | End of split
% 195.48/32.49  | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | Case 2:
% 195.48/32.49  | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | |   (78)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 195.48/32.49  | | | | | | | | | | | |           e1 & op(e0, e2) = e1)
% 195.48/32.49  | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | BETA: splitting (78) gives:
% 195.48/32.49  | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | Case 1:
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | |   (79)  all_56_7 = e1 & op(e1, e2) = e1
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | | ALPHA: (79) implies:
% 195.48/32.49  | | | | | | | | | | | | |   (80)  all_56_7 = e1
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | | REF_CLOSE: (6), (13), (24), (26), (33), (34), (35), (37),
% 195.48/32.49  | | | | | | | | | | | | |            (38), (44), (45), (46), (80) are inconsistent by
% 195.48/32.49  | | | | | | | | | | | | |            sub-proof #858.
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | Case 2:
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | |   (81)  all_56_13 = e1 & op(e0, e2) = e1
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | | ALPHA: (81) implies:
% 195.48/32.49  | | | | | | | | | | | | |   (82)  all_56_13 = e1
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | | REF_CLOSE: (4), (6), (32), (44), (45), (46), (49), (58), (82)
% 195.48/32.49  | | | | | | | | | | | | |            are inconsistent by sub-proof #1798.
% 195.48/32.49  | | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | | End of split
% 195.48/32.49  | | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | | End of split
% 195.48/32.49  | | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | | End of split
% 195.48/32.49  | | | | | | | | | | 
% 195.48/32.49  | | | | | | | | | End of split
% 195.48/32.49  | | | | | | | | | 
% 195.48/32.49  | | | | | | | | End of split
% 195.48/32.49  | | | | | | | | 
% 195.48/32.49  | | | | | | | End of split
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | End of split
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | Case 2:
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | |   (83)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1,
% 195.48/32.49  | | | | | |             e0) = e0)
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | | REF_CLOSE: (6), (12), (37), (38), (46), (83) are inconsistent by
% 195.48/32.49  | | | | | |            sub-proof #1773.
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | End of split
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | End of split
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | Case 2:
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | |   (84)  all_56_3 = e3 & op(e2, e2) = e3
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | | ALPHA: (84) implies:
% 195.48/32.49  | | | |   (85)  op(e2, e2) = e3
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | | REF_CLOSE: (6), (8), (21), (85) are inconsistent by sub-proof #1975.
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | End of split
% 195.48/32.49  | | | 
% 195.48/32.49  | | Case 2:
% 195.48/32.49  | | | 
% 195.48/32.49  | | |   (86)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 195.48/32.49  | | |           e3)
% 195.48/32.49  | | | 
% 195.48/32.49  | | | BETA: splitting (86) gives:
% 195.48/32.49  | | | 
% 195.48/32.49  | | | Case 1:
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | |   (87)  all_56_7 = e3 & op(e1, e2) = e3
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | | ALPHA: (87) implies:
% 195.48/32.49  | | | |   (88)  all_56_7 = e3
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | | REF_CLOSE: (6), (13), (24), (26), (34), (37), (38), (44), (45), (46),
% 195.48/32.49  | | | |            (88) are inconsistent by sub-proof #1772.
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | Case 2:
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | |   (89)  all_56_13 = e3 & op(e0, e2) = e3
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | | ALPHA: (89) implies:
% 195.48/32.49  | | | |   (90)  all_56_13 = e3
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | | REF_CLOSE: (6), (14), (15), (18), (20), (24), (29), (33), (36), (38),
% 195.48/32.49  | | | |            (44), (45), (46), (90) are inconsistent by sub-proof #558.
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | End of split
% 195.48/32.49  | | | 
% 195.48/32.49  | | End of split
% 195.48/32.49  | | 
% 195.48/32.49  | Case 2:
% 195.48/32.49  | | 
% 195.48/32.49  | |   (91)  all_54_13 = e1 | all_54_13 = e0
% 195.48/32.49  | | 
% 195.48/32.49  | | REF_CLOSE: (2), (11), (20), (91) are inconsistent by sub-proof #1652.
% 195.48/32.49  | | 
% 195.48/32.49  | End of split
% 195.48/32.49  | 
% 195.48/32.49  End of proof
% 195.48/32.49  
% 195.48/32.49  Sub-proof #558 shows that the following formulas are inconsistent:
% 195.48/32.49  ----------------------------------------------------------------
% 195.48/32.49    (1)   ~ (e3 = e2)
% 195.48/32.49    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.49    (3)  all_56_13 = e3
% 195.48/32.49    (4)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 195.48/32.49         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.48/32.49    (5)  all_56_12 = e3
% 195.48/32.49    (6)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 195.48/32.49         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.48/32.49    (7)   ~ (all_52_7 = e1)
% 195.48/32.49    (8)   ~ (e1 = e0)
% 195.48/32.49    (9)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.49             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 195.48/32.49               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.48/32.49               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.48/32.49    (10)   ~ (e2 = e1)
% 195.48/32.49    (11)   ~ (e3 = e1)
% 195.48/32.49    (12)  op(e0, e2) = all_52_7
% 195.48/32.49    (13)   ~ (e2 = e0)
% 195.48/32.49    (14)   ~ (e3 = e0)
% 195.48/32.49  
% 195.48/32.49  Begin of proof
% 195.48/32.49  | 
% 195.48/32.49  | BETA: splitting (4) gives:
% 195.48/32.49  | 
% 195.48/32.49  | Case 1:
% 195.48/32.49  | | 
% 195.48/32.49  | |   (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 195.48/32.49  | |           e1)
% 195.48/32.49  | | 
% 195.48/32.49  | | REF_CLOSE: (2), (5), (7), (11), (12), (15) are inconsistent by sub-proof
% 195.48/32.49  | |            #630.
% 195.48/32.49  | | 
% 195.48/32.49  | Case 2:
% 195.48/32.49  | | 
% 195.48/32.49  | |   (16)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.48/32.49  | |           e1)
% 195.48/32.49  | | 
% 195.48/32.49  | | BETA: splitting (16) gives:
% 195.48/32.49  | | 
% 195.48/32.49  | | Case 1:
% 195.48/32.49  | | | 
% 195.48/32.49  | | |   (17)  all_56_14 = e1 & op(e0, e1) = e1
% 195.48/32.49  | | | 
% 195.48/32.49  | | | ALPHA: (17) implies:
% 195.48/32.49  | | |   (18)  all_56_14 = e1
% 195.48/32.49  | | | 
% 195.48/32.49  | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10), (13), (14), (18) are
% 195.48/32.49  | | |            inconsistent by sub-proof #703.
% 195.48/32.49  | | | 
% 195.48/32.49  | | Case 2:
% 195.48/32.49  | | | 
% 195.48/32.49  | | |   (19)  all_56_15 = e1 & op(e0, e0) = e1
% 195.48/32.49  | | | 
% 195.48/32.49  | | | ALPHA: (19) implies:
% 195.48/32.49  | | |   (20)  op(e0, e0) = e1
% 195.48/32.49  | | | 
% 195.48/32.49  | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10), (13), (14), (20) are
% 195.48/32.49  | | |            inconsistent by sub-proof #888.
% 195.48/32.49  | | | 
% 195.48/32.49  | | End of split
% 195.48/32.49  | | 
% 195.48/32.49  | End of split
% 195.48/32.49  | 
% 195.48/32.49  End of proof
% 195.48/32.49  
% 195.48/32.49  Sub-proof #559 shows that the following formulas are inconsistent:
% 195.48/32.49  ----------------------------------------------------------------
% 195.48/32.49    (1)   ~ (all_52_1 = all_4_2)
% 195.48/32.49    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.48/32.49         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.49    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.48/32.49           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.48/32.49           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.48/32.49                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.48/32.49               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.48/32.49               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.48/32.49           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.48/32.49           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.48/32.49               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.48/32.49           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.48/32.49               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.48/32.49           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.48/32.49           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.48/32.49               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.48/32.49               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.48/32.49               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.49         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.48/32.49           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.48/32.49           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.48/32.49               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.48/32.49             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.48/32.49         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.48/32.49           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.48/32.49           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.48/32.49                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.48/32.49               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.48/32.49               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.48/32.49           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.48/32.49           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.48/32.49             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.48/32.49           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.48/32.49               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.48/32.49           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.48/32.49           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.48/32.49               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.48/32.49               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.48/32.49               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.49         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.48/32.49           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.48/32.49           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.48/32.49               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.48/32.49             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.48/32.49         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.48/32.49           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.48/32.49           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.48/32.49                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.48/32.49               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.48/32.49               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.48/32.49           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.48/32.49             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.48/32.49               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.49           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.48/32.49               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.48/32.49           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.48/32.49           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.48/32.49               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.49               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.49               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.48/32.49         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.48/32.49           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.48/32.49           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.48/32.49               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.48/32.49             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.48/32.49         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.48/32.49             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.48/32.49           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.48/32.49               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.48/32.49             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.48/32.49         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.48/32.49             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.49           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.48/32.49               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.48/32.49             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.48/32.49         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.48/32.49             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.48/32.49           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.48/32.49               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.48/32.49             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.49         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.48/32.49             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.48/32.49           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.48/32.49               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.48/32.49             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.48/32.49    (4)  all_54_4 = all_52_1
% 195.48/32.49    (5)   ~ (all_52_3 = e1)
% 195.48/32.49    (6)  op(e1, e2) = all_52_6
% 195.48/32.49    (7)   ~ (all_52_1 = e0)
% 195.48/32.49    (8)   ~ (all_52_3 = e2)
% 195.48/32.49    (9)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 195.48/32.49    (10)  all_54_3 = all_52_12
% 195.48/32.49    (11)   ~ (all_52_11 = e1)
% 195.48/32.49    (12)  all_54_6 = all_52_9
% 195.48/32.49    (13)   ~ (all_52_1 = all_52_9)
% 195.48/32.49    (14)  op(e0, e0) = e1
% 195.48/32.49    (15)  op(e3, e0) = e3
% 195.48/32.49    (16)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.48/32.49          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.48/32.49    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.48/32.49          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.48/32.49    (18)  all_54_2 = all_52_8
% 195.48/32.49    (19)   ~ (all_4_2 = e0)
% 195.48/32.49    (20)   ~ (all_52_13 = e2)
% 195.48/32.49    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.49            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.49    (22)  op(e3, e2) = all_52_4
% 195.48/32.49    (23)  op(e2, e2) = all_4_2
% 195.48/32.49    (24)   ~ (all_52_9 = e0)
% 195.48/32.49    (25)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.48/32.49    (26)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.48/32.49          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.48/32.49    (27)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.48/32.49          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.48/32.49    (28)   ~ (all_52_9 = e3)
% 195.48/32.49    (29)  all_54_12 = all_52_3
% 195.48/32.49    (30)   ~ (all_52_4 = all_52_8)
% 195.48/32.49    (31)  all_56_11 = e2
% 195.48/32.49    (32)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.48/32.49          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.48/32.49    (33)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.49          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.48/32.49            e1)
% 195.48/32.49    (34)   ~ (all_52_4 = e2)
% 195.48/32.49    (35)  op(e0, e3) = all_52_3
% 195.48/32.49    (36)  all_56_14 = e2
% 195.48/32.49    (37)  op(e2, e0) = all_52_13
% 195.48/32.49    (38)  op(e1, e0) = all_52_14
% 195.48/32.49    (39)   ~ (all_52_12 = e2)
% 195.48/32.49    (40)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.48/32.49          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.48/32.49    (41)   ~ (all_52_8 = all_52_9)
% 195.48/32.49    (42)   ~ (all_52_4 = all_52_12)
% 195.48/32.49    (43)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.48/32.49              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.48/32.49            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.48/32.49            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.48/32.49            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.48/32.49            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.48/32.49            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.48/32.49            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.48/32.49            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.48/32.49            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.48/32.49            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.48/32.49            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.48/32.49            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.48/32.49            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.48/32.49            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.48/32.49            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.48/32.49            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.48/32.49            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.48/32.49            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.48/32.49            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.48/32.49            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.48/32.49            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.48/32.49            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.48/32.49            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.48/32.49            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.48/32.49            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.48/32.49            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.48/32.49            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.48/32.49            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.48/32.49            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.48/32.49            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.48/32.49            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.48/32.49            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.48/32.49            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.48/32.49            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.48/32.49            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.48/32.49            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.49            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.48/32.49            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.48/32.49            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.49            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.48/32.49            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.48/32.49            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.48/32.49            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.48/32.49            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.48/32.49            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.48/32.49            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.48/32.49            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.48/32.49              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.48/32.49            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.48/32.49            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.48/32.49              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.48/32.49            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.48/32.49            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.48/32.49                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.48/32.49                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.49                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.48/32.49                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.48/32.49                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.48/32.49                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.48/32.49                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.48/32.49              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.48/32.49                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.48/32.49                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.48/32.49                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.48/32.49                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.48/32.49                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.48/32.49                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.48/32.49                $i(all_57_7))))
% 195.48/32.49    (44)   ~ (all_52_9 = e2)
% 195.48/32.49    (45)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.48/32.49    (46)   ~ (all_52_12 = e0)
% 195.48/32.49    (47)  op(e1, e3) = e1
% 195.48/32.49    (48)   ~ (all_52_7 = e1)
% 195.48/32.49    (49)  op(e0, e1) = all_52_11
% 195.48/32.49    (50)   ~ (all_4_2 = e1)
% 195.48/32.49    (51)   ~ (all_52_14 = e1)
% 195.48/32.49    (52)   ~ (all_4_2 = e3)
% 195.48/32.49    (53)   ~ (all_52_8 = all_52_12)
% 195.48/32.49    (54)   ~ (all_52_8 = e2)
% 195.48/32.49    (55)  op(e3, e3) = e2
% 195.48/32.49    (56)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.48/32.49          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.49    (57)  all_56_5 = e1
% 195.48/32.49    (58)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 195.48/32.49          | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.48/32.49    (59)  all_56_0 = e2
% 195.48/32.49    (60)  all_56_2 = e3
% 195.48/32.49    (61)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.48/32.49    (62)   ~ (e1 = e0)
% 195.48/32.49    (63)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.48/32.49    (64)  all_56_6 = e1
% 195.48/32.49    (65)  all_54_5 = all_4_2
% 195.48/32.49    (66)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.48/32.49          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.48/32.49    (67)   ~ (all_52_1 = e2)
% 195.48/32.49    (68)   ~ (e2 = e1)
% 195.48/32.49    (69)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.48/32.49    (70)   ~ (all_52_12 = e1)
% 195.48/32.49    (71)  op(e3, e0) = all_52_12
% 195.48/32.49    (72)  op(e2, e2) = e2
% 195.48/32.49    (73)  op(e2, e1) = all_52_9
% 195.48/32.49    (74)   ~ (all_52_4 = all_52_6)
% 195.48/32.49    (75)   ~ (all_52_1 = all_52_3)
% 195.48/32.49    (76)  op(e3, e1) = all_52_8
% 195.48/32.49    (77)  all_54_1 = all_52_4
% 195.48/32.49    (78)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.48/32.49          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.48/32.49    (79)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.48/32.49          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.48/32.49    (80)  op(e0, e2) = all_52_7
% 195.48/32.49    (81)  op(e1, e1) = e3
% 195.48/32.49    (82)   ~ (e2 = e0)
% 195.48/32.49    (83)  op(e2, e3) = all_52_1
% 195.48/32.49    (84)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.48/32.49    (85)   ~ (e3 = e0)
% 195.48/32.49    (86)   ~ (all_52_3 = all_52_11)
% 195.48/32.49    (87)   ~ (all_52_9 = all_52_11)
% 195.48/32.49  
% 195.48/32.49  Begin of proof
% 195.48/32.49  | 
% 195.48/32.49  | BETA: splitting (32) gives:
% 195.48/32.49  | 
% 195.48/32.49  | Case 1:
% 195.48/32.49  | | 
% 195.48/32.49  | |   (88)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 195.48/32.49  | |           e0)
% 195.48/32.49  | | 
% 195.48/32.49  | | BETA: splitting (88) gives:
% 195.48/32.49  | | 
% 195.48/32.49  | | Case 1:
% 195.48/32.49  | | | 
% 195.48/32.49  | | |   (89)  all_56_6 = e0 & op(e1, e3) = e0
% 195.48/32.49  | | | 
% 195.48/32.49  | | | ALPHA: (89) implies:
% 195.48/32.49  | | |   (90)  all_56_6 = e0
% 195.48/32.49  | | | 
% 195.48/32.49  | | | REF_CLOSE: (62), (64), (90) are inconsistent by sub-proof #1565.
% 195.48/32.49  | | | 
% 195.48/32.49  | | Case 2:
% 195.48/32.49  | | | 
% 195.48/32.49  | | |   (91)  all_56_7 = e0 & op(e1, e2) = e0
% 195.48/32.49  | | | 
% 195.48/32.49  | | | ALPHA: (91) implies:
% 195.48/32.49  | | |   (92)  all_56_7 = e0
% 195.48/32.49  | | | 
% 195.48/32.49  | | | BETA: splitting (17) gives:
% 195.48/32.49  | | | 
% 195.48/32.49  | | | Case 1:
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | |   (93)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 195.48/32.49  | | | |           = e0)
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | | BETA: splitting (93) gives:
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | | Case 1:
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | |   (94)  all_56_0 = e0 & op(e3, e3) = e0
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | | REF_CLOSE: (59), (82), (94) are inconsistent by sub-proof #1461.
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | Case 2:
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | |   (95)  all_56_2 = e0 & op(e2, e3) = e0
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | | REF_CLOSE: (60), (85), (95) are inconsistent by sub-proof #1729.
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | End of split
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | Case 2:
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | |   (96)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 195.48/32.49  | | | |           = e0)
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | | BETA: splitting (96) gives:
% 195.48/32.49  | | | | 
% 195.48/32.49  | | | | Case 1:
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | |   (97)  all_56_6 = e0 & op(e1, e3) = e0
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | | ALPHA: (97) implies:
% 195.48/32.49  | | | | |   (98)  all_56_6 = e0
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | | REF_CLOSE: (62), (64), (98) are inconsistent by sub-proof #1565.
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | Case 2:
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | |   (99)  all_56_12 = e0 & op(e0, e3) = e0
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | | ALPHA: (99) implies:
% 195.48/32.49  | | | | |   (100)  op(e0, e3) = e0
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | | BETA: splitting (45) gives:
% 195.48/32.49  | | | | | 
% 195.48/32.49  | | | | | Case 1:
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | |   (101)  all_54_6 = e3
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | | REF_CLOSE: (12), (28), (101) are inconsistent by sub-proof #1468.
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | Case 2:
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | |   (102)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | | BETA: splitting (9) gives:
% 195.48/32.49  | | | | | | 
% 195.48/32.49  | | | | | | Case 1:
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | |   (103)  all_54_3 = e3
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | COMBINE_EQS: (10), (103) imply:
% 195.48/32.49  | | | | | | |   (104)  all_52_12 = e3
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | REDUCE: (42), (104) imply:
% 195.48/32.49  | | | | | | |   (105)   ~ (all_52_4 = e3)
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | REDUCE: (53), (104) imply:
% 195.48/32.49  | | | | | | |   (106)   ~ (all_52_8 = e3)
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | REDUCE: (39), (104) imply:
% 195.48/32.49  | | | | | | |   (107)   ~ (e3 = e2)
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | REDUCE: (70), (104) imply:
% 195.48/32.49  | | | | | | |   (108)   ~ (e3 = e1)
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | BETA: splitting (2) gives:
% 195.48/32.49  | | | | | | | 
% 195.48/32.49  | | | | | | | Case 1:
% 195.48/32.49  | | | | | | | | 
% 195.48/32.50  | | | | | | | |   (109)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 &
% 195.48/32.50  | | | | | | | |            op(e2, e2) = e1)
% 195.48/32.50  | | | | | | | | 
% 195.48/32.50  | | | | | | | | BETA: splitting (109) gives:
% 195.48/32.50  | | | | | | | | 
% 195.48/32.50  | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | 
% 195.48/32.50  | | | | | | | | |   (110)  all_56_1 = e1 & op(e3, e2) = e1
% 195.48/32.50  | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | ALPHA: (110) implies:
% 195.48/32.50  | | | | | | | | |   (111)  all_56_1 = e1
% 195.48/32.50  | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | BETA: splitting (102) gives:
% 195.48/32.50  | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | |   (112)  all_54_6 = e2
% 195.48/32.50  | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | REF_CLOSE: (12), (44), (112) are inconsistent by sub-proof
% 195.48/32.50  | | | | | | | | | |            #1467.
% 195.48/32.50  | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | |   (113)   ~ (all_54_6 = e2)
% 195.48/32.50  | | | | | | | | | |   (114)  all_54_6 = e1 | all_54_6 = e0
% 195.48/32.50  | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | BETA: splitting (114) gives:
% 195.48/32.50  | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | |   (115)  all_54_6 = e1
% 195.48/32.50  | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | COMBINE_EQS: (12), (115) imply:
% 195.48/32.50  | | | | | | | | | | |   (116)  all_52_9 = e1
% 195.48/32.50  | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | SIMP: (116) implies:
% 195.48/32.50  | | | | | | | | | | |   (117)  all_52_9 = e1
% 195.48/32.50  | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | REDUCE: (13), (117) imply:
% 195.48/32.50  | | | | | | | | | | |   (118)   ~ (all_52_1 = e1)
% 195.48/32.50  | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | REDUCE: (41), (117) imply:
% 195.48/32.50  | | | | | | | | | | |   (119)   ~ (all_52_8 = e1)
% 195.48/32.50  | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | REDUCE: (44), (117) imply:
% 195.48/32.50  | | | | | | | | | | |   (120)   ~ (e2 = e1)
% 195.48/32.50  | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | BETA: splitting (63) gives:
% 195.48/32.50  | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | |   (121)  all_54_4 = e3
% 195.48/32.50  | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | COMBINE_EQS: (4), (121) imply:
% 195.48/32.50  | | | | | | | | | | | |   (122)  all_52_1 = e3
% 195.48/32.50  | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | REDUCE: (75), (122) imply:
% 195.48/32.50  | | | | | | | | | | | |   (123)   ~ (all_52_3 = e3)
% 195.48/32.50  | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | SIMP: (123) implies:
% 195.48/32.50  | | | | | | | | | | | |   (124)   ~ (all_52_3 = e3)
% 195.48/32.50  | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | BETA: splitting (61) gives:
% 195.48/32.50  | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | |   (125)  all_54_2 = e3
% 195.48/32.50  | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | COMBINE_EQS: (18), (125) imply:
% 195.48/32.50  | | | | | | | | | | | | |   (126)  all_52_8 = e3
% 195.48/32.50  | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | REDUCE: (106), (126) imply:
% 195.48/32.50  | | | | | | | | | | | | |   (127)  $false
% 195.48/32.50  | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | CLOSE: (127) is inconsistent.
% 195.48/32.50  | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | |   (128)   ~ (all_54_2 = e3)
% 195.48/32.50  | | | | | | | | | | | | |   (129)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.48/32.50  | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | BETA: splitting (40) gives:
% 195.48/32.50  | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | |   (130)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 195.48/32.50  | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 195.48/32.50  | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (23), (52), (105), (130) are
% 195.48/32.50  | | | | | | | | | | | | | |            inconsistent by sub-proof #1790.
% 195.48/32.50  | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | |   (131)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 195.48/32.50  | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 195.48/32.50  | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 195.48/32.50  | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | |   (132)  all_56_7 = e3 & op(e1, e2) = e3
% 195.48/32.50  | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | ALPHA: (132) implies:
% 195.48/32.50  | | | | | | | | | | | | | | |   (133)  all_56_7 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | REF_CLOSE: (21), (32), (62), (64), (68), (78), (81), (82),
% 195.48/32.50  | | | | | | | | | | | | | | |            (85), (107), (133) are inconsistent by sub-proof
% 195.48/32.50  | | | | | | | | | | | | | | |            #1772.
% 195.48/32.50  | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | |   (134)  all_56_13 = e3 & op(e0, e2) = e3
% 195.48/32.50  | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 195.48/32.50  | | | | | | | | | | | | | | |   (135)  all_56_13 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | |   (136)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 195.48/32.50  | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | |   (137)  all_56_0 = e0 & op(e3, e3) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (82), (137) are inconsistent by sub-proof
% 195.48/32.50  | | | | | | | | | | | | | | | | |            #1461.
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | |   (138)  all_56_1 = e0 & op(e3, e2) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | ALPHA: (138) implies:
% 195.48/32.50  | | | | | | | | | | | | | | | | |   (139)  all_56_1 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (139) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | |   (140)  e1 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | COMBINE_EQS: (57), (140) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | |   (141)  all_56_5 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (21), (27), (49), (62), (76), (81), (108),
% 195.48/32.50  | | | | | | | | | | | | | | | | |            (119), (141) are inconsistent by sub-proof #1234.
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | End of split
% 195.48/32.50  | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | |   (142)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 195.48/32.50  | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | |   (143)  all_56_4 = e0 & op(e3, e1) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 195.48/32.50  | | | | | | | | | | | | | | | | |   (144)  all_56_4 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | |   (145)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |   (146)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |   (147)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (23), (52), (105), (147) are
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1530.
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |   (148)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (21), (55), (68), (100), (108), (148) are
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #580.
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |   (149)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |   (150)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |   (151)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |          e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | ALPHA: (151) implies:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |   (152)  all_57_10 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |   (153)  op(e3, e3) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |   (154)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | |   (155)  all_54_2 = e2
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (155) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | |   (156)  all_52_8 = e2
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (156) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | |   (157)  $false
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (157) is inconsistent.
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | |   (158)   ~ (all_54_2 = e2)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | |   (159)  all_54_2 = e1 | all_54_2 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | |   (160)  all_54_2 = e1
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (160) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | |   (161)  all_52_8 = e1
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (161) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | |   (162)  $false
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (162) is inconsistent.
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | |   (163)  all_54_2 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (163) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | |   (164)  all_52_8 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (164) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | |   (165)   ~ (all_52_4 = e0)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (164) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | |   (166)   ~ (e3 = e0)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (164) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | |   (167)   ~ (e2 = e0)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | |   (168)  all_54_1 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (168) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_52_4 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (169) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | |   (170)  $false
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (170) is inconsistent.
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | |   (171)   ~ (all_54_1 = e3)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | |   (172)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_54_1 = e2
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (173) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_52_4 = e2
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (174) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (175)  $false
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (175) is inconsistent.
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (176)   ~ (all_54_1 = e2)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  all_54_1 = e1 | all_54_1 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_54_1 = e1
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (178) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_52_4 = e1
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (179) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (180)   ~ (all_52_6 = e1)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (180) implies:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)   ~ (all_52_6 = e1)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (179) imply:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (182)   ~ (e3 = e1)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (6), (8), (19), (21), (22), (23), (25),
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (35), (47), (50), (52), (65), (68), (72),
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (84), (105), (124), (181), (183) are
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #566.
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (62), (76), (106), (153), (186) are
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #565.
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (16), (21), (23), (26), (40), (44), (52),
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (62), (66), (68), (73), (82), (85), (92),
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (108), (135), (144), (187) are inconsistent
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #564.
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  op(e2, e0) = e2
% 195.48/32.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (37), (191) are inconsistent by
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (192) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  op(e1, e0) = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (81), (85), (154), (193) are inconsistent by
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1271.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (195) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  op(e2, e0) = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (37), (196) are inconsistent by
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  op(e1, e0) = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (81), (85), (154), (199) are inconsistent by
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1271.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  op(e2, e2) = e3
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (52), (204) are inconsistent by
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1975.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)   ~ (all_57_1 = e1)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  op(e1, e3) = all_57_1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (207), (208) are inconsistent by
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1326.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_57_10 = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (152), (210) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  e2 = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (211) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  e2 = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (212) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  $false
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (62), (68), (72), (81), (107), (153), (214)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #562.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_54_1 = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (215) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_52_4 = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (216) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  $false
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (217) is inconsistent.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (218)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |            e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              all_57_1 & $i(all_57_1)))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (219)  op(e3, e0) = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (46), (71), (219) are inconsistent by
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1799.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |   (220)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (68), (72), (81), (107), (220) are
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #880.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | |   (221)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.51  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |   (222)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |   (223)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (224)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (224) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (225)  op(e2, e0) = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (37), (225) are inconsistent by
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (226)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (227)  op(e0, e0) = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (36), (58), (62), (68), (82), (85),
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |            (108), (135), (227) are inconsistent by sub-proof
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |            #1693.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |   (228)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (229)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (230)  op(e0, e1) = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (21), (24), (49), (87), (114), (230) are
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1451.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (231)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (232)  op(e0, e1) = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (35), (49), (86), (100), (232) are
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1671.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |   (233)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |   (234)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (235)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (235) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (236)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (21), (100), (108), (236) are inconsistent
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #911.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (237)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |   (238)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | |   (239)  all_54_2 = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (239) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | |   (240)  all_52_8 = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (240) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | |   (241)  $false
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (241) is inconsistent.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | |   (242)   ~ (all_54_2 = e2)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | |   (243)  all_54_2 = e1 | all_54_2 = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_54_2 = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (244) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_52_8 = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (245) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | |   (246)  $false
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (246) is inconsistent.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_54_2 = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (247) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_52_8 = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (248) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | |   (249)   ~ (all_52_4 = e0)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (248) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | |   (250)   ~ (e3 = e0)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (248) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | |   (251)   ~ (e2 = e0)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (248) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | |   (252)   ~ (e1 = e0)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_57_15 = e2 & op(e0, e0) = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | |   (254)  op(e0, e0) = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (36), (58), (62), (68), (82), (85),
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | |            (108), (135), (254) are inconsistent by sub-proof
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | |            #1693.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | |   (255)   ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_5)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | |   (256)   ~ (all_57_5 = e0)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | |   (257)  op(e0, e2) = all_57_5
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_54_1 = e3
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (258) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_52_4 = e3
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (259) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  $false
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (260) is inconsistent.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (261)   ~ (all_54_1 = e3)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_54_1 = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (263) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_52_4 = e2
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (264) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  $false
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (265) is inconsistent.
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)   ~ (all_54_1 = e2)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_54_1 = e1 | all_54_1 = e0
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_54_1 = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (268) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_52_4 = e1
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (269) imply:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)   ~ (all_52_6 = e1)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (270) implies:
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)   ~ (all_52_6 = e1)
% 195.48/32.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (269) imply:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)   ~ (e3 = e1)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (6), (8), (19), (21), (22), (23), (25),
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (35), (47), (50), (52), (65), (68), (72),
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (84), (105), (124), (271), (273) are
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #566.
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (55), (68), (76), (106), (276) are
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #561.
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (16), (21), (23), (26), (40), (44), (52),
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (62), (66), (68), (73), (82), (85), (92),
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (108), (135), (144), (277) are inconsistent
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #564.
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (37), (38), (51), (279) are
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #560.
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (281) implies:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  op(e2, e0) = e2
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (37), (282) are inconsistent by
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (284) implies:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  op(e1, e0) = e1
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (38), (51), (285) are inconsistent by
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (47), (52), (55), (68), (72), (256),
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (257), (287) are inconsistent by sub-proof #653.
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_54_1 = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (288) imply:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_52_4 = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (289) imply:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  $false
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (290) is inconsistent.
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |   (291)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (21), (62), (81), (108), (291) are
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #866.
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | |   (292)  all_56_9 = e0 & op(e3, e0) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | ALPHA: (292) implies:
% 195.48/32.52  | | | | | | | | | | | | | | | | |   (293)  op(e3, e0) = e0
% 195.48/32.52  | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (46), (71), (293) are inconsistent by
% 195.48/32.52  | | | | | | | | | | | | | | | | |            sub-proof #1799.
% 195.48/32.52  | | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | |   (294)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.48/32.52  | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | | REF_CLOSE: (4), (7), (67), (118), (294) are inconsistent by
% 195.48/32.52  | | | | | | | | | | | |            sub-proof #1829.
% 195.48/32.52  | | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | |   (295)  all_54_6 = e0
% 195.48/32.52  | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | | REF_CLOSE: (12), (24), (295) are inconsistent by sub-proof
% 195.48/32.52  | | | | | | | | | | |            #1452.
% 195.48/32.52  | | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | |   (296)  all_56_3 = e1 & op(e2, e2) = e1
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | ALPHA: (296) implies:
% 195.48/32.52  | | | | | | | | |   (297)  op(e2, e2) = e1
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | REF_CLOSE: (21), (68), (72), (297) are inconsistent by
% 195.48/32.52  | | | | | | | | |            sub-proof #1783.
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | 
% 195.48/32.52  | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | 
% 195.48/32.52  | | | | | | | |   (298)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 &
% 195.48/32.52  | | | | | | | |            op(e0, e2) = e1)
% 195.48/32.52  | | | | | | | | 
% 195.48/32.52  | | | | | | | | BETA: splitting (298) gives:
% 195.48/32.52  | | | | | | | | 
% 195.48/32.52  | | | | | | | | Case 1:
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | |   (299)  all_56_7 = e1 & op(e1, e2) = e1
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | ALPHA: (299) implies:
% 195.48/32.52  | | | | | | | | |   (300)  all_56_7 = e1
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | REF_CLOSE: (21), (32), (62), (64), (68), (78), (79), (81),
% 195.48/32.52  | | | | | | | | |            (82), (85), (107), (108), (300) are inconsistent by
% 195.48/32.52  | | | | | | | | |            sub-proof #858.
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | Case 2:
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | |   (301)  all_56_13 = e1 & op(e0, e2) = e1
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | ALPHA: (301) implies:
% 195.48/32.52  | | | | | | | | |   (302)  op(e0, e2) = e1
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | | REF_CLOSE: (21), (48), (80), (302) are inconsistent by
% 195.48/32.52  | | | | | | | | |            sub-proof #1649.
% 195.48/32.52  | | | | | | | | | 
% 195.48/32.52  | | | | | | | | End of split
% 195.48/32.52  | | | | | | | | 
% 195.48/32.52  | | | | | | | End of split
% 195.48/32.52  | | | | | | | 
% 195.48/32.52  | | | | | | Case 2:
% 195.48/32.52  | | | | | | | 
% 195.48/32.52  | | | | | | |   (303)   ~ (all_54_3 = e3)
% 195.48/32.52  | | | | | | | 
% 195.48/32.52  | | | | | | | REDUCE: (10), (303) imply:
% 195.48/32.52  | | | | | | |   (304)   ~ (all_52_12 = e3)
% 195.48/32.52  | | | | | | | 
% 195.48/32.52  | | | | | | | REF_CLOSE: (15), (21), (71), (304) are inconsistent by sub-proof
% 195.48/32.52  | | | | | | |            #1964.
% 195.48/32.52  | | | | | | | 
% 195.48/32.52  | | | | | | End of split
% 195.48/32.52  | | | | | | 
% 195.48/32.52  | | | | | End of split
% 195.48/32.52  | | | | | 
% 195.48/32.52  | | | | End of split
% 195.48/32.52  | | | | 
% 195.48/32.52  | | | End of split
% 195.48/32.52  | | | 
% 195.48/32.52  | | End of split
% 195.48/32.52  | | 
% 195.48/32.52  | Case 2:
% 195.48/32.52  | | 
% 195.48/32.52  | |   (305)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 195.48/32.52  | |            e0)
% 195.48/32.52  | | 
% 195.48/32.52  | | BETA: splitting (305) gives:
% 195.48/32.52  | | 
% 195.48/32.52  | | Case 1:
% 195.48/32.52  | | | 
% 195.48/32.52  | | |   (306)  all_56_8 = e0 & op(e1, e1) = e0
% 195.48/32.52  | | | 
% 195.48/32.52  | | | ALPHA: (306) implies:
% 195.48/32.52  | | |   (307)  op(e1, e1) = e0
% 195.48/32.52  | | | 
% 195.48/32.52  | | | REF_CLOSE: (21), (81), (85), (307) are inconsistent by sub-proof #1824.
% 195.48/32.52  | | | 
% 195.48/32.52  | | Case 2:
% 195.48/32.52  | | | 
% 195.48/32.52  | | |   (308)  all_56_11 = e0 & op(e1, e0) = e0
% 195.48/32.52  | | | 
% 195.48/32.52  | | | ALPHA: (308) implies:
% 195.48/32.52  | | |   (309)  all_56_11 = e0
% 195.48/32.52  | | | 
% 195.48/32.52  | | | REF_CLOSE: (31), (82), (309) are inconsistent by sub-proof #1227.
% 195.48/32.52  | | | 
% 195.48/32.52  | | End of split
% 195.48/32.52  | | 
% 195.48/32.52  | End of split
% 195.48/32.52  | 
% 195.48/32.52  End of proof
% 195.48/32.52  
% 195.48/32.52  Sub-proof #560 shows that the following formulas are inconsistent:
% 195.48/32.52  ----------------------------------------------------------------
% 195.48/32.52    (1)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 195.48/32.52             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 195.48/32.52           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.48/32.52         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 195.48/32.52             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 195.48/32.52           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.48/32.52    (2)   ~ (all_52_13 = e2)
% 195.48/32.52    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.52    (4)  op(e2, e0) = all_52_13
% 195.48/32.52    (5)  op(e1, e0) = all_52_14
% 195.48/32.52    (6)   ~ (all_52_14 = e1)
% 195.48/32.52  
% 195.48/32.52  Begin of proof
% 195.48/32.52  | 
% 195.48/32.52  | BETA: splitting (1) gives:
% 195.48/32.52  | 
% 195.48/32.52  | Case 1:
% 195.48/32.52  | | 
% 195.48/32.52  | |   (7)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 195.48/32.52  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 195.48/32.52  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 195.48/32.52  | | 
% 195.48/32.52  | | ALPHA: (7) implies:
% 195.48/32.52  | |   (8)  op(e2, e0) = e2
% 195.48/32.52  | | 
% 195.48/32.52  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1662.
% 195.48/32.52  | | 
% 195.48/32.52  | Case 2:
% 195.48/32.52  | | 
% 195.48/32.52  | |   (9)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 195.48/32.52  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 195.48/32.52  | |        all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 195.48/32.52  | | 
% 195.48/32.52  | | ALPHA: (9) implies:
% 195.48/32.52  | |   (10)  op(e1, e0) = e1
% 195.48/32.52  | | 
% 195.48/32.52  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1958.
% 195.48/32.52  | | 
% 195.48/32.52  | End of split
% 195.48/32.52  | 
% 195.48/32.52  End of proof
% 195.48/32.52  
% 195.48/32.52  Sub-proof #561 shows that the following formulas are inconsistent:
% 195.48/32.52  ----------------------------------------------------------------
% 195.48/32.52    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.52    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.48/32.52             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.48/32.52           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 195.48/32.52           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.48/32.52           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.48/32.52           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 195.48/32.52    (3)   ~ (all_52_8 = e3)
% 195.48/32.52    (4)  op(e3, e3) = e2
% 195.48/32.52    (5)   ~ (e2 = e1)
% 195.48/32.52    (6)  op(e3, e1) = all_52_8
% 195.48/32.52  
% 195.48/32.52  Begin of proof
% 195.48/32.52  | 
% 195.48/32.52  | BETA: splitting (2) gives:
% 195.48/32.52  | 
% 195.48/32.52  | Case 1:
% 195.48/32.52  | | 
% 195.48/32.52  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.48/32.52  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.48/32.52  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 195.48/32.52  | | 
% 195.48/32.52  | | ALPHA: (7) implies:
% 195.48/32.52  | |   (8)  op(e3, e1) = e3
% 195.48/32.52  | | 
% 195.48/32.52  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1759.
% 195.48/32.52  | | 
% 195.48/32.52  | Case 2:
% 195.48/32.52  | | 
% 195.48/32.52  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 195.48/32.52  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.48/32.52  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 195.48/32.52  | | 
% 195.48/32.52  | | ALPHA: (9) implies:
% 195.48/32.52  | |   (10)  op(e3, e3) = e1
% 195.48/32.52  | | 
% 195.48/32.52  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1934.
% 195.48/32.52  | | 
% 195.48/32.52  | End of split
% 195.48/32.52  | 
% 195.48/32.52  End of proof
% 195.48/32.52  
% 195.48/32.52  Sub-proof #562 shows that the following formulas are inconsistent:
% 195.48/32.52  ----------------------------------------------------------------
% 195.48/32.52    (1)  op(e3, e3) = e0
% 195.48/32.52    (2)   ~ (e3 = e2)
% 195.48/32.52    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.52    (4)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.48/32.52             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.48/32.52           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 195.48/32.52           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.48/32.52             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.48/32.52           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.52           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.48/32.52    (5)   ~ (e1 = e0)
% 195.48/32.52    (6)   ~ (e2 = e1)
% 195.48/32.52    (7)  op(e2, e2) = e2
% 195.48/32.52    (8)  op(e1, e1) = e3
% 195.48/32.52  
% 195.48/32.52  Begin of proof
% 195.48/32.52  | 
% 195.48/32.52  | BETA: splitting (4) gives:
% 195.48/32.52  | 
% 195.48/32.52  | Case 1:
% 195.48/32.52  | | 
% 195.48/32.52  | |   (9)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.48/32.52  | |          e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.48/32.52  | |        $i(all_57_4)
% 195.48/32.52  | | 
% 195.48/32.52  | | ALPHA: (9) implies:
% 195.48/32.52  | |   (10)  op(e1, e1) = e2
% 195.48/32.52  | | 
% 195.48/32.52  | | REF_CLOSE: (2), (3), (8), (10) are inconsistent by sub-proof #1777.
% 195.48/32.52  | | 
% 195.48/32.52  | Case 2:
% 195.48/32.52  | | 
% 195.48/32.52  | |   (11)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 195.48/32.52  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.48/32.52  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.48/32.52  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 195.48/32.52  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.48/32.52  | | 
% 195.48/32.52  | | REF_CLOSE: (1), (3), (5), (6), (7), (11) are inconsistent by sub-proof #563.
% 195.48/32.52  | | 
% 195.48/32.52  | End of split
% 195.48/32.52  | 
% 195.48/32.52  End of proof
% 195.48/32.52  
% 195.48/32.52  Sub-proof #563 shows that the following formulas are inconsistent:
% 195.48/32.52  ----------------------------------------------------------------
% 195.48/32.52    (1)  op(e3, e3) = e0
% 195.48/32.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.52    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.48/32.52             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.48/32.52           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 195.48/32.52           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 195.48/32.52             e1) = e0 & $i(all_57_7))
% 195.48/32.52    (4)   ~ (e1 = e0)
% 195.48/32.52    (5)   ~ (e2 = e1)
% 195.48/32.52    (6)  op(e2, e2) = e2
% 195.48/32.52  
% 195.48/32.52  Begin of proof
% 195.48/32.52  | 
% 195.48/32.52  | BETA: splitting (3) gives:
% 195.48/32.52  | 
% 195.48/32.52  | Case 1:
% 195.48/32.52  | | 
% 195.48/32.52  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.48/32.52  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.48/32.52  | |        $i(all_57_6)
% 195.48/32.52  | | 
% 195.48/32.52  | | ALPHA: (7) implies:
% 195.48/32.52  | |   (8)  op(e3, e3) = e1
% 195.48/32.52  | | 
% 195.48/32.52  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1937.
% 195.48/32.52  | | 
% 195.48/32.52  | Case 2:
% 195.48/32.52  | | 
% 195.48/32.52  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.48/32.52  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.48/32.52  | |        $i(all_57_7)
% 195.48/32.52  | | 
% 195.48/32.52  | | ALPHA: (9) implies:
% 195.48/32.52  | |   (10)  op(e2, e2) = e1
% 195.48/32.52  | | 
% 195.48/32.52  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1783.
% 195.48/32.52  | | 
% 195.48/32.52  | End of split
% 195.48/32.52  | 
% 195.48/32.52  End of proof
% 195.48/32.52  
% 195.48/32.52  Sub-proof #564 shows that the following formulas are inconsistent:
% 195.48/32.52  ----------------------------------------------------------------
% 195.48/32.52    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.48/32.52         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.53    (2)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 195.48/32.53             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.48/32.53           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 195.48/32.53           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.48/32.53           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 195.48/32.53           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.48/32.53           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 195.48/32.53           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.48/32.53           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.48/32.53    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.48/32.53         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.48/32.53    (4)   ~ (e3 = e2)
% 195.48/32.53    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.53    (6)  all_56_13 = e3
% 195.48/32.53    (7)  op(e2, e2) = all_4_2
% 195.48/32.53    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.48/32.53         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.48/32.53    (9)  all_56_7 = e0
% 195.48/32.53    (10)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.48/32.53          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.48/32.53    (11)   ~ (all_52_9 = e2)
% 195.48/32.53    (12)   ~ (all_4_2 = e3)
% 195.48/32.53    (13)  all_56_5 = e1
% 195.48/32.53    (14)   ~ (e1 = e0)
% 195.48/32.53    (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.48/32.53          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.48/32.53    (16)   ~ (e2 = e1)
% 195.48/32.53    (17)  op(e2, e1) = all_52_9
% 195.48/32.53    (18)  all_56_4 = e0
% 195.48/32.53    (19)   ~ (e3 = e1)
% 195.48/32.53    (20)   ~ (e2 = e0)
% 195.48/32.53    (21)   ~ (e3 = e0)
% 195.48/32.53  
% 195.48/32.53  Begin of proof
% 195.48/32.53  | 
% 195.48/32.53  | BETA: splitting (2) gives:
% 195.48/32.53  | 
% 195.48/32.53  | Case 1:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (22)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 195.48/32.53  | |           = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.48/32.53  | |         all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 195.48/32.53  | | 
% 195.48/32.53  | | ALPHA: (22) implies:
% 195.48/32.53  | |   (23)  op(e2, e1) = e2
% 195.48/32.53  | | 
% 195.48/32.53  | | REF_CLOSE: (5), (11), (17), (23) are inconsistent by sub-proof #1942.
% 195.48/32.53  | | 
% 195.48/32.53  | Case 2:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (24)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.48/32.53  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.53  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.48/32.53  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 195.48/32.53  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 195.48/32.53  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.48/32.53  | |           $i(all_57_13))
% 195.48/32.53  | | 
% 195.48/32.53  | | BETA: splitting (24) gives:
% 195.48/32.53  | | 
% 195.48/32.53  | | Case 1:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (25)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.48/32.53  | | |         (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.53  | | |         op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.48/32.53  | | |         $i(all_57_11)
% 195.48/32.53  | | | 
% 195.48/32.53  | | | ALPHA: (25) implies:
% 195.48/32.53  | | |   (26)  op(e2, e2) = e0
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (12), (14), (16),
% 195.48/32.53  | | |            (19), (20), (21), (26) are inconsistent by sub-proof #1282.
% 195.48/32.53  | | | 
% 195.48/32.53  | | Case 2:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (27)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.48/32.53  | | |         (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.48/32.53  | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.48/32.53  | | |         $i(all_57_13)
% 195.48/32.53  | | | 
% 195.48/32.53  | | | ALPHA: (27) implies:
% 195.48/32.53  | | |   (28)  op(e1, e1) = e0
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (4), (5), (8), (13), (15), (16), (18), (19), (20), (21), (28)
% 195.48/32.53  | | |            are inconsistent by sub-proof #1817.
% 195.48/32.53  | | | 
% 195.48/32.53  | | End of split
% 195.48/32.53  | | 
% 195.48/32.53  | End of split
% 195.48/32.53  | 
% 195.48/32.53  End of proof
% 195.48/32.53  
% 195.48/32.53  Sub-proof #565 shows that the following formulas are inconsistent:
% 195.48/32.53  ----------------------------------------------------------------
% 195.48/32.53    (1)  op(e3, e3) = e0
% 195.48/32.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.53    (3)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.48/32.53             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.48/32.53           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 195.48/32.53           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.48/32.53           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.48/32.53           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 195.48/32.53    (4)   ~ (all_52_8 = e3)
% 195.48/32.53    (5)   ~ (e1 = e0)
% 195.48/32.53    (6)  op(e3, e1) = all_52_8
% 195.48/32.53  
% 195.48/32.53  Begin of proof
% 195.48/32.53  | 
% 195.48/32.53  | BETA: splitting (3) gives:
% 195.48/32.53  | 
% 195.48/32.53  | Case 1:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.48/32.53  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.48/32.53  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 195.48/32.53  | | 
% 195.48/32.53  | | ALPHA: (7) implies:
% 195.48/32.53  | |   (8)  op(e3, e1) = e3
% 195.48/32.53  | | 
% 195.48/32.53  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1759.
% 195.48/32.53  | | 
% 195.48/32.53  | Case 2:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 195.48/32.53  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.48/32.53  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 195.48/32.53  | | 
% 195.48/32.53  | | ALPHA: (9) implies:
% 195.48/32.53  | |   (10)  op(e3, e3) = e1
% 195.48/32.53  | | 
% 195.48/32.53  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1937.
% 195.48/32.53  | | 
% 195.48/32.53  | End of split
% 195.48/32.53  | 
% 195.48/32.53  End of proof
% 195.48/32.53  
% 195.48/32.53  Sub-proof #566 shows that the following formulas are inconsistent:
% 195.48/32.53  ----------------------------------------------------------------
% 195.48/32.53    (1)   ~ (all_52_1 = all_4_2)
% 195.48/32.53    (2)   ~ (all_52_4 = e3)
% 195.48/32.53    (3)   ~ (all_52_3 = e1)
% 195.48/32.53    (4)  op(e1, e2) = all_52_6
% 195.48/32.53    (5)   ~ (all_52_3 = e2)
% 195.48/32.53    (6)   ~ (all_52_3 = e3)
% 195.48/32.53    (7)   ~ (all_4_2 = e0)
% 195.48/32.53    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.53    (9)  op(e3, e2) = all_52_4
% 195.48/32.53    (10)  op(e2, e2) = all_4_2
% 195.48/32.53    (11)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.48/32.53    (12)  all_54_12 = all_52_3
% 195.48/32.53    (13)  op(e0, e3) = all_52_3
% 195.48/32.53    (14)  op(e1, e3) = e1
% 195.48/32.53    (15)   ~ (all_4_2 = e1)
% 195.48/32.53    (16)   ~ (all_4_2 = e3)
% 195.48/32.53    (17)  all_54_5 = all_4_2
% 195.48/32.53    (18)   ~ (e2 = e1)
% 195.48/32.53    (19)  op(e2, e2) = e2
% 195.48/32.53    (20)   ~ (all_52_6 = e1)
% 195.48/32.53    (21)  op(e2, e3) = all_52_1
% 195.48/32.53    (22)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.48/32.53    (23)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.48/32.53              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.48/32.53            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.48/32.53            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.48/32.53            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.48/32.53            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.48/32.53            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.48/32.53            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.48/32.53            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.48/32.53            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.48/32.53            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.48/32.53            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.48/32.53            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.48/32.53            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.48/32.53            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.48/32.53            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.48/32.53            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.48/32.53            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.48/32.53            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.48/32.53            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.48/32.53            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.48/32.53            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.48/32.53            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.48/32.53            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.48/32.53            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.48/32.53            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.48/32.53            $i(all_57_10))
% 195.48/32.53  
% 195.48/32.53  Begin of proof
% 195.48/32.53  | 
% 195.48/32.53  | BETA: splitting (23) gives:
% 195.48/32.53  | 
% 195.48/32.53  | Case 1:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (24)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 195.48/32.53  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.48/32.53  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 195.48/32.53  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 195.48/32.53  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.48/32.53  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 195.48/32.53  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 195.48/32.53  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 195.48/32.53  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.48/32.53  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 195.48/32.53  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.48/32.53  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.48/32.53  | | 
% 195.48/32.53  | | BETA: splitting (24) gives:
% 195.48/32.53  | | 
% 195.48/32.53  | | Case 1:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (25)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.48/32.53  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.48/32.53  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.48/32.53  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 195.48/32.53  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.48/32.53  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.48/32.53  | | |           $i(all_57_2) & $i(all_57_12))
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (1), (7), (8), (14), (15), (17), (21), (22), (25) are
% 195.48/32.53  | | |            inconsistent by sub-proof #779.
% 195.48/32.53  | | | 
% 195.48/32.53  | | Case 2:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (26)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.48/32.53  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.48/32.53  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.48/32.53  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 195.48/32.53  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 195.48/32.53  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.48/32.53  | | |           $i(all_57_2) & $i(all_57_14))
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (3), (5), (6), (8), (10), (11), (12), (13), (16), (26) are
% 195.48/32.53  | | |            inconsistent by sub-proof #567.
% 195.48/32.53  | | | 
% 195.48/32.53  | | End of split
% 195.48/32.53  | | 
% 195.48/32.53  | Case 2:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (27)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 195.48/32.53  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.48/32.53  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.48/32.53  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 195.48/32.53  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.48/32.53  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 195.48/32.53  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 195.48/32.53  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 195.48/32.53  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.48/32.53  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.48/32.53  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.48/32.53  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.48/32.53  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.48/32.53  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.48/32.53  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.48/32.53  | | 
% 195.48/32.53  | | BETA: splitting (27) gives:
% 195.48/32.53  | | 
% 195.48/32.53  | | Case 1:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (28)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.48/32.53  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.48/32.53  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.48/32.53  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 195.48/32.53  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 195.48/32.53  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.48/32.53  | | |           $i(all_57_5) & $i(all_57_10))
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (2), (8), (9), (28) are inconsistent by sub-proof #1971.
% 195.48/32.53  | | | 
% 195.48/32.53  | | Case 2:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (29)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.48/32.53  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.48/32.53  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.48/32.53  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 195.48/32.53  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 195.48/32.53  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.48/32.53  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 195.48/32.53  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.48/32.53  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.48/32.53  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (4), (8), (18), (19), (20), (29) are inconsistent by sub-proof
% 195.48/32.53  | | |            #1782.
% 195.48/32.53  | | | 
% 195.48/32.53  | | End of split
% 195.48/32.53  | | 
% 195.48/32.53  | End of split
% 195.48/32.53  | 
% 195.48/32.53  End of proof
% 195.48/32.53  
% 195.48/32.53  Sub-proof #567 shows that the following formulas are inconsistent:
% 195.48/32.53  ----------------------------------------------------------------
% 195.48/32.53    (1)   ~ (all_52_3 = e1)
% 195.48/32.53    (2)   ~ (all_52_3 = e2)
% 195.48/32.53    (3)   ~ (all_52_3 = e3)
% 195.48/32.53    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.53    (5)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 195.48/32.53             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.48/32.53           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 195.48/32.53           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 195.48/32.53             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 195.48/32.53             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.48/32.53    (6)  op(e2, e2) = all_4_2
% 195.48/32.53    (7)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.48/32.53    (8)  all_54_12 = all_52_3
% 195.48/32.53    (9)  op(e0, e3) = all_52_3
% 195.48/32.53    (10)   ~ (all_4_2 = e3)
% 195.48/32.53  
% 195.48/32.53  Begin of proof
% 195.48/32.53  | 
% 195.48/32.53  | BETA: splitting (5) gives:
% 195.48/32.53  | 
% 195.48/32.53  | Case 1:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (11)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 195.48/32.53  | |           = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1
% 195.48/32.53  | |         & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 195.48/32.53  | | 
% 195.48/32.53  | | ALPHA: (11) implies:
% 195.48/32.53  | |   (12)  op(e2, e2) = e3
% 195.48/32.53  | | 
% 195.48/32.53  | | REF_CLOSE: (4), (6), (10), (12) are inconsistent by sub-proof #1975.
% 195.48/32.53  | | 
% 195.48/32.53  | Case 2:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (13)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 195.48/32.53  | |           = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.48/32.53  | |         all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 195.48/32.53  | | 
% 195.48/32.53  | | ALPHA: (13) implies:
% 195.48/32.53  | |   (14)   ~ (all_57_2 = e0)
% 195.48/32.53  | |   (15)  op(e0, e3) = all_57_2
% 195.48/32.53  | | 
% 195.48/32.53  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (14), (15) are inconsistent by
% 195.48/32.53  | |            sub-proof #984.
% 195.48/32.53  | | 
% 195.48/32.53  | End of split
% 195.48/32.53  | 
% 195.48/32.53  End of proof
% 195.48/32.53  
% 195.48/32.53  Sub-proof #568 shows that the following formulas are inconsistent:
% 195.48/32.53  ----------------------------------------------------------------
% 195.48/32.53    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.48/32.53         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.53    (2)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.48/32.53         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 195.48/32.53    (3)   ~ (e3 = e2)
% 195.48/32.53    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.53    (5)  op(e2, e2) = all_4_2
% 195.48/32.53    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.48/32.53         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.48/32.53    (7)  all_56_13 = e2
% 195.48/32.53    (8)  op(e1, e0) = all_52_14
% 195.48/32.53    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.48/32.53         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.48/32.53    (10)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.48/32.53          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.48/32.53    (11)   ~ (all_52_7 = e1)
% 195.48/32.53    (12)   ~ (all_52_14 = e1)
% 195.48/32.53    (13)   ~ (all_4_2 = e3)
% 195.48/32.53    (14)   ~ (e1 = e0)
% 195.48/32.53    (15)   ~ (e2 = e1)
% 195.48/32.53    (16)  op(e2, e2) = e2
% 195.48/32.53    (17)   ~ (e3 = e1)
% 195.48/32.53    (18)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.48/32.53          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.48/32.53    (19)  op(e0, e2) = all_52_7
% 195.48/32.53    (20)  op(e1, e1) = e3
% 195.48/32.53    (21)   ~ (e2 = e0)
% 195.48/32.53    (22)   ~ (e3 = e0)
% 195.48/32.53  
% 195.48/32.53  Begin of proof
% 195.48/32.53  | 
% 195.48/32.53  | BETA: splitting (9) gives:
% 195.48/32.53  | 
% 195.48/32.53  | Case 1:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (23)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 195.48/32.53  | |           e3)
% 195.48/32.53  | | 
% 195.48/32.53  | | BETA: splitting (23) gives:
% 195.48/32.53  | | 
% 195.48/32.53  | | Case 1:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (24)  all_56_1 = e3 & op(e3, e2) = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | ALPHA: (24) implies:
% 195.48/32.53  | | |   (25)  all_56_1 = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | BETA: splitting (1) gives:
% 195.48/32.53  | | | 
% 195.48/32.53  | | | Case 1:
% 195.48/32.53  | | | | 
% 195.48/32.53  | | | |   (26)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2)
% 195.48/32.53  | | | |           = e1)
% 195.48/32.53  | | | | 
% 195.48/32.53  | | | | BETA: splitting (26) gives:
% 195.48/32.53  | | | | 
% 195.48/32.53  | | | | Case 1:
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | |   (27)  all_56_1 = e1 & op(e3, e2) = e1
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | | REF_CLOSE: (17), (25), (27) are inconsistent by sub-proof #1882.
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | Case 2:
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | |   (28)  all_56_3 = e1 & op(e2, e2) = e1
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | | ALPHA: (28) implies:
% 195.48/32.53  | | | | |   (29)  op(e2, e2) = e1
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | | REF_CLOSE: (4), (15), (16), (29) are inconsistent by sub-proof #1783.
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | End of split
% 195.48/32.53  | | | | 
% 195.48/32.53  | | | Case 2:
% 195.48/32.53  | | | | 
% 195.48/32.53  | | | |   (30)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2)
% 195.48/32.53  | | | |           = e1)
% 195.48/32.53  | | | | 
% 195.48/32.53  | | | | BETA: splitting (30) gives:
% 195.48/32.53  | | | | 
% 195.48/32.53  | | | | Case 1:
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | |   (31)  all_56_7 = e1 & op(e1, e2) = e1
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | | ALPHA: (31) implies:
% 195.48/32.53  | | | | |   (32)  all_56_7 = e1
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | | BETA: splitting (2) gives:
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | | Case 1:
% 195.48/32.53  | | | | | | 
% 195.48/32.53  | | | | | |   (33)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2,
% 195.48/32.53  | | | | | |             e2) = e0)
% 195.48/32.53  | | | | | | 
% 195.48/32.53  | | | | | | BETA: splitting (33) gives:
% 195.48/32.53  | | | | | | 
% 195.48/32.53  | | | | | | Case 1:
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | |   (34)  all_56_1 = e0 & op(e3, e2) = e0
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 195.48/32.53  | | | | | | |            (14), (15), (17), (18), (20), (21), (22), (34) are
% 195.48/32.53  | | | | | | |            inconsistent by sub-proof #569.
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | Case 2:
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | |   (35)  all_56_3 = e0 & op(e2, e2) = e0
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | | ALPHA: (35) implies:
% 195.48/32.53  | | | | | | |   (36)  op(e2, e2) = e0
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | | REF_CLOSE: (4), (16), (21), (36) are inconsistent by sub-proof
% 195.48/32.53  | | | | | | |            #1939.
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | End of split
% 195.48/32.53  | | | | | | 
% 195.48/32.53  | | | | | Case 2:
% 195.48/32.53  | | | | | | 
% 195.48/32.53  | | | | | |   (37)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0,
% 195.48/32.53  | | | | | |             e2) = e0)
% 195.48/32.53  | | | | | | 
% 195.48/32.53  | | | | | | BETA: splitting (37) gives:
% 195.48/32.53  | | | | | | 
% 195.48/32.53  | | | | | | Case 1:
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | |   (38)  all_56_7 = e0 & op(e1, e2) = e0
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | | REF_CLOSE: (14), (32), (38) are inconsistent by sub-proof #1563.
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | Case 2:
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | |   (39)  all_56_13 = e0 & op(e0, e2) = e0
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | | REF_CLOSE: (7), (21), (39) are inconsistent by sub-proof #1208.
% 195.48/32.53  | | | | | | | 
% 195.48/32.53  | | | | | | End of split
% 195.48/32.53  | | | | | | 
% 195.48/32.53  | | | | | End of split
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | Case 2:
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | |   (40)  all_56_13 = e1 & op(e0, e2) = e1
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | | ALPHA: (40) implies:
% 195.48/32.53  | | | | |   (41)  op(e0, e2) = e1
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | | REF_CLOSE: (4), (11), (19), (41) are inconsistent by sub-proof #1649.
% 195.48/32.53  | | | | | 
% 195.48/32.53  | | | | End of split
% 195.48/32.53  | | | | 
% 195.48/32.53  | | | End of split
% 195.48/32.53  | | | 
% 195.48/32.53  | | Case 2:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (42)  all_56_3 = e3 & op(e2, e2) = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | ALPHA: (42) implies:
% 195.48/32.53  | | |   (43)  op(e2, e2) = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (4), (5), (13), (43) are inconsistent by sub-proof #1975.
% 195.48/32.53  | | | 
% 195.48/32.53  | | End of split
% 195.48/32.53  | | 
% 195.48/32.53  | Case 2:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (44)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 195.48/32.53  | |           e3)
% 195.48/32.53  | | 
% 195.48/32.53  | | BETA: splitting (44) gives:
% 195.48/32.53  | | 
% 195.48/32.53  | | Case 1:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (45)  all_56_7 = e3 & op(e1, e2) = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | ALPHA: (45) implies:
% 195.48/32.53  | | |   (46)  all_56_7 = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (3), (4), (6), (8), (10), (12), (14), (15), (17), (18), (20),
% 195.48/32.53  | | |            (21), (22), (46) are inconsistent by sub-proof #1769.
% 195.48/32.53  | | | 
% 195.48/32.53  | | Case 2:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (47)  all_56_13 = e3 & op(e0, e2) = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | ALPHA: (47) implies:
% 195.48/32.53  | | |   (48)  all_56_13 = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (3), (7), (48) are inconsistent by sub-proof #1541.
% 195.48/32.53  | | | 
% 195.48/32.53  | | End of split
% 195.48/32.53  | | 
% 195.48/32.53  | End of split
% 195.48/32.53  | 
% 195.48/32.53  End of proof
% 195.48/32.53  
% 195.48/32.53  Sub-proof #569 shows that the following formulas are inconsistent:
% 195.48/32.53  ----------------------------------------------------------------
% 195.48/32.53    (1)   ~ (e3 = e2)
% 195.48/32.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.53    (3)  op(e2, e2) = all_4_2
% 195.48/32.53    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.48/32.53         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.48/32.53    (5)  all_56_13 = e2
% 195.48/32.53    (6)  all_56_1 = e0 & op(e3, e2) = e0
% 195.48/32.53    (7)  op(e1, e0) = all_52_14
% 195.48/32.53    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.48/32.53         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.48/32.53    (9)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.48/32.53         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.48/32.53    (10)   ~ (all_52_14 = e1)
% 195.48/32.53    (11)   ~ (all_4_2 = e3)
% 195.48/32.53    (12)   ~ (e1 = e0)
% 195.48/32.53    (13)   ~ (e2 = e1)
% 195.48/32.53    (14)   ~ (e3 = e1)
% 195.48/32.53    (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.48/32.53          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.48/32.53    (16)  op(e1, e1) = e3
% 195.48/32.53    (17)   ~ (e2 = e0)
% 195.48/32.53    (18)   ~ (e3 = e0)
% 195.48/32.53  
% 195.48/32.53  Begin of proof
% 195.48/32.53  | 
% 195.48/32.53  | ALPHA: (6) implies:
% 195.48/32.53  |   (19)  all_56_1 = e0
% 195.48/32.53  | 
% 195.48/32.53  | BETA: splitting (8) gives:
% 195.48/32.53  | 
% 195.48/32.53  | Case 1:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (20)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 195.48/32.53  | |           e3)
% 195.48/32.53  | | 
% 195.48/32.53  | | REF_CLOSE: (2), (3), (11), (18), (19), (20) are inconsistent by sub-proof
% 195.48/32.53  | |            #854.
% 195.48/32.53  | | 
% 195.48/32.53  | Case 2:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (21)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 195.48/32.53  | |           e3)
% 195.48/32.53  | | 
% 195.48/32.53  | | BETA: splitting (21) gives:
% 195.48/32.53  | | 
% 195.48/32.53  | | Case 1:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (22)  all_56_7 = e3 & op(e1, e2) = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | ALPHA: (22) implies:
% 195.48/32.53  | | |   (23)  all_56_7 = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (1), (2), (4), (7), (9), (10), (12), (13), (14), (15), (16),
% 195.48/32.53  | | |            (17), (18), (23) are inconsistent by sub-proof #1769.
% 195.48/32.53  | | | 
% 195.48/32.53  | | Case 2:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (24)  all_56_13 = e3 & op(e0, e2) = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (1), (5), (24) are inconsistent by sub-proof #700.
% 195.48/32.53  | | | 
% 195.48/32.53  | | End of split
% 195.48/32.53  | | 
% 195.48/32.53  | End of split
% 195.48/32.53  | 
% 195.48/32.53  End of proof
% 195.48/32.53  
% 195.48/32.53  Sub-proof #570 shows that the following formulas are inconsistent:
% 195.48/32.53  ----------------------------------------------------------------
% 195.48/32.53    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.48/32.53         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.48/32.53    (2)   ~ (all_52_11 = e1)
% 195.48/32.53    (3)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.48/32.53         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.48/32.53    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.48/32.53         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.48/32.53    (5)  op(e0, e0) = e1
% 195.48/32.53    (6)   ~ (e3 = e2)
% 195.48/32.53    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.53    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.48/32.53         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.48/32.53    (9)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.48/32.53         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.48/32.53    (10)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.48/32.53          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.48/32.53            e1)
% 195.48/32.53    (11)   ~ (all_52_8 = e3)
% 195.48/32.53    (12)   ~ (all_52_9 = e2)
% 195.48/32.53    (13)  op(e0, e1) = all_52_11
% 195.48/32.53    (14)  op(e3, e3) = e2
% 195.48/32.53    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.48/32.53          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.53    (16)  all_56_0 = e2
% 195.48/32.53    (17)   ~ (e1 = e0)
% 195.48/32.53    (18)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.48/32.53          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.48/32.53    (19)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.53              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.48/32.53                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.48/32.53                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.48/32.53    (20)   ~ (e2 = e1)
% 195.48/32.53    (21)   ~ (all_52_12 = e1)
% 195.48/32.53    (22)  op(e3, e0) = all_52_12
% 195.48/32.53    (23)  op(e2, e1) = all_52_9
% 195.48/32.53    (24)  all_56_12 = e2
% 195.48/32.53    (25)  op(e3, e1) = all_52_8
% 195.48/32.53    (26)   ~ (e3 = e1)
% 195.48/32.53    (27)  op(e1, e1) = e3
% 195.48/32.53    (28)   ~ (e2 = e0)
% 195.48/32.53    (29)   ~ (e3 = e0)
% 195.48/32.53  
% 195.48/32.53  Begin of proof
% 195.48/32.53  | 
% 195.48/32.53  | BETA: splitting (1) gives:
% 195.48/32.53  | 
% 195.48/32.53  | Case 1:
% 195.48/32.53  | | 
% 195.48/32.53  | |   (30)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 195.48/32.53  | |           e3)
% 195.48/32.53  | | 
% 195.48/32.53  | | BETA: splitting (30) gives:
% 195.48/32.53  | | 
% 195.48/32.53  | | Case 1:
% 195.48/32.53  | | | 
% 195.48/32.53  | | |   (31)  all_56_12 = e3 & op(e0, e3) = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | ALPHA: (31) implies:
% 195.48/32.53  | | |   (32)  all_56_12 = e3
% 195.48/32.53  | | | 
% 195.48/32.53  | | | REF_CLOSE: (6), (24), (32) are inconsistent by sub-proof #1354.
% 195.48/32.53  | | | 
% 195.48/32.53  | | Case 2:
% 195.48/32.53  | | | 
% 195.48/32.54  | | |   (33)  all_56_13 = e3 & op(e0, e2) = e3
% 195.48/32.54  | | | 
% 195.48/32.54  | | | ALPHA: (33) implies:
% 195.48/32.54  | | |   (34)  all_56_13 = e3
% 195.48/32.54  | | | 
% 195.48/32.54  | | | BETA: splitting (8) gives:
% 195.48/32.54  | | | 
% 195.48/32.54  | | | Case 1:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | |   (35)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1)
% 195.48/32.54  | | | |           = e2)
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | REF_CLOSE: (4), (6), (7), (11), (12), (14), (15), (16), (17), (18),
% 195.48/32.54  | | | |            (20), (21), (22), (23), (25), (26), (28), (29), (35) are
% 195.48/32.54  | | | |            inconsistent by sub-proof #574.
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | Case 2:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | |   (36)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1)
% 195.48/32.54  | | | |           = e2)
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | BETA: splitting (36) gives:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | Case 1:
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | |   (37)  all_56_8 = e2 & op(e1, e1) = e2
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | | ALPHA: (37) implies:
% 195.48/32.54  | | | | |   (38)  op(e1, e1) = e2
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | | REF_CLOSE: (6), (7), (27), (38) are inconsistent by sub-proof #1777.
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | Case 2:
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | |   (39)  all_56_14 = e2 & op(e0, e1) = e2
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | | ALPHA: (39) implies:
% 195.48/32.54  | | | | |   (40)  all_56_14 = e2
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | | BETA: splitting (19) gives:
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | | Case 1:
% 195.48/32.54  | | | | | | 
% 195.48/32.54  | | | | | |   (41)  all_56_15 = e0 & op(e0, e0) = e0
% 195.48/32.54  | | | | | | 
% 195.48/32.54  | | | | | | ALPHA: (41) implies:
% 195.48/32.54  | | | | | |   (42)  op(e0, e0) = e0
% 195.48/32.54  | | | | | | 
% 195.48/32.54  | | | | | | REF_CLOSE: (7), (10), (17), (20), (24), (26), (34), (40), (42) are
% 195.48/32.54  | | | | | |            inconsistent by sub-proof #1594.
% 195.48/32.54  | | | | | | 
% 195.48/32.54  | | | | | Case 2:
% 195.48/32.54  | | | | | | 
% 195.48/32.54  | | | | | |   (43)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 195.48/32.54  | | | | | |             op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 195.48/32.54  | | | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.48/32.54  | | | | | |             op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 195.48/32.54  | | | | | | 
% 195.48/32.54  | | | | | | ALPHA: (43) implies:
% 195.48/32.54  | | | | | |   (44)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.48/32.54  | | | | | |           op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.48/32.54  | | | | | | 
% 195.48/32.54  | | | | | | BETA: splitting (44) gives:
% 195.48/32.54  | | | | | | 
% 195.48/32.54  | | | | | | Case 1:
% 195.48/32.54  | | | | | | | 
% 195.48/32.54  | | | | | | |   (45)  all_56_12 = e0 & op(e0, e3) = e0
% 195.48/32.54  | | | | | | | 
% 195.48/32.54  | | | | | | | REF_CLOSE: (24), (28), (45) are inconsistent by sub-proof #1592.
% 195.48/32.54  | | | | | | | 
% 195.48/32.54  | | | | | | Case 2:
% 195.48/32.54  | | | | | | | 
% 195.48/32.54  | | | | | | |   (46)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 &
% 195.48/32.54  | | | | | | |           op(e0, e1) = e0)
% 195.48/32.54  | | | | | | | 
% 195.48/32.54  | | | | | | | BETA: splitting (46) gives:
% 195.48/32.54  | | | | | | | 
% 195.48/32.54  | | | | | | | Case 1:
% 195.48/32.54  | | | | | | | | 
% 195.48/32.54  | | | | | | | |   (47)  all_56_13 = e0 & op(e0, e2) = e0
% 195.48/32.54  | | | | | | | | 
% 195.48/32.54  | | | | | | | | REF_CLOSE: (29), (34), (47) are inconsistent by sub-proof #1696.
% 195.48/32.54  | | | | | | | | 
% 195.48/32.54  | | | | | | | Case 2:
% 195.48/32.54  | | | | | | | | 
% 195.48/32.54  | | | | | | | |   (48)  all_56_14 = e0 & op(e0, e1) = e0
% 195.48/32.54  | | | | | | | | 
% 195.48/32.54  | | | | | | | | REF_CLOSE: (28), (40), (48) are inconsistent by sub-proof #1498.
% 195.48/32.54  | | | | | | | | 
% 195.48/32.54  | | | | | | | End of split
% 195.48/32.54  | | | | | | | 
% 195.48/32.54  | | | | | | End of split
% 195.48/32.54  | | | | | | 
% 195.48/32.54  | | | | | End of split
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | End of split
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | End of split
% 195.48/32.54  | | | 
% 195.48/32.54  | | End of split
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (49)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 195.48/32.54  | |           e3)
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (13), (14), (15),
% 195.48/32.54  | |            (16), (17), (18), (20), (21), (22), (25), (26), (27), (28), (29),
% 195.48/32.54  | |            (49) are inconsistent by sub-proof #571.
% 195.48/32.54  | | 
% 195.48/32.54  | End of split
% 195.48/32.54  | 
% 195.48/32.54  End of proof
% 195.48/32.54  
% 195.48/32.54  Sub-proof #571 shows that the following formulas are inconsistent:
% 195.48/32.54  ----------------------------------------------------------------
% 195.48/32.54    (1)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.48/32.54    (2)   ~ (all_52_11 = e1)
% 195.48/32.54    (3)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.48/32.54         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.48/32.54    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.48/32.54         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.48/32.54    (5)  op(e0, e0) = e1
% 195.48/32.54    (6)   ~ (e3 = e2)
% 195.48/32.54    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.54    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.48/32.54         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.48/32.54    (9)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.48/32.54         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.48/32.54    (10)   ~ (all_52_8 = e3)
% 195.48/32.54    (11)  op(e0, e1) = all_52_11
% 195.48/32.54    (12)  op(e3, e3) = e2
% 195.48/32.54    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.48/32.54          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.54    (14)  all_56_0 = e2
% 195.48/32.54    (15)   ~ (e1 = e0)
% 195.48/32.54    (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.48/32.54          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.48/32.54    (17)   ~ (e2 = e1)
% 195.48/32.54    (18)   ~ (all_52_12 = e1)
% 195.48/32.54    (19)  op(e3, e0) = all_52_12
% 195.48/32.54    (20)  op(e3, e1) = all_52_8
% 195.48/32.54    (21)   ~ (e3 = e1)
% 195.48/32.54    (22)  op(e1, e1) = e3
% 195.48/32.54    (23)   ~ (e2 = e0)
% 195.48/32.54    (24)   ~ (e3 = e0)
% 195.48/32.54  
% 195.48/32.54  Begin of proof
% 195.48/32.54  | 
% 195.48/32.54  | BETA: splitting (1) gives:
% 195.48/32.54  | 
% 195.48/32.54  | Case 1:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (25)  all_56_14 = e3 & op(e0, e1) = e3
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (25) implies:
% 195.48/32.54  | |   (26)  all_56_14 = e3
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 195.48/32.54  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (26)
% 195.48/32.54  | |            are inconsistent by sub-proof #572.
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (27)  all_56_15 = e3 & op(e0, e0) = e3
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (27) implies:
% 195.48/32.54  | |   (28)  op(e0, e0) = e3
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (5), (7), (21), (28) are inconsistent by sub-proof #1392.
% 195.48/32.54  | | 
% 195.48/32.54  | End of split
% 195.48/32.54  | 
% 195.48/32.54  End of proof
% 195.48/32.54  
% 195.48/32.54  Sub-proof #572 shows that the following formulas are inconsistent:
% 195.48/32.54  ----------------------------------------------------------------
% 195.48/32.54    (1)   ~ (all_52_11 = e1)
% 195.48/32.54    (2)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.48/32.54         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.48/32.54    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.48/32.54         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.48/32.54    (4)   ~ (e3 = e2)
% 195.48/32.54    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.54    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.48/32.54         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.48/32.54    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.48/32.54         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.48/32.54    (8)   ~ (all_52_8 = e3)
% 195.48/32.54    (9)  op(e0, e1) = all_52_11
% 195.48/32.54    (10)  all_56_14 = e3
% 195.48/32.54    (11)  op(e3, e3) = e2
% 195.48/32.54    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.48/32.54          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.54    (13)  all_56_0 = e2
% 195.48/32.54    (14)   ~ (e1 = e0)
% 195.48/32.54    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.48/32.54          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.48/32.54    (16)   ~ (e2 = e1)
% 195.48/32.54    (17)   ~ (all_52_12 = e1)
% 195.48/32.54    (18)  op(e3, e0) = all_52_12
% 195.48/32.54    (19)  op(e3, e1) = all_52_8
% 195.48/32.54    (20)   ~ (e3 = e1)
% 195.48/32.54    (21)  op(e1, e1) = e3
% 195.48/32.54    (22)   ~ (e2 = e0)
% 195.48/32.54    (23)   ~ (e3 = e0)
% 195.48/32.54  
% 195.48/32.54  Begin of proof
% 195.48/32.54  | 
% 195.48/32.54  | BETA: splitting (6) gives:
% 195.48/32.54  | 
% 195.48/32.54  | Case 1:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (24)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 195.48/32.54  | |           e2)
% 195.48/32.54  | | 
% 195.48/32.54  | | BETA: splitting (24) gives:
% 195.48/32.54  | | 
% 195.48/32.54  | | Case 1:
% 195.48/32.54  | | | 
% 195.48/32.54  | | |   (25)  all_56_4 = e2 & op(e3, e1) = e2
% 195.48/32.54  | | | 
% 195.48/32.54  | | | ALPHA: (25) implies:
% 195.48/32.54  | | |   (26)  all_56_4 = e2
% 195.48/32.54  | | | 
% 195.48/32.54  | | | BETA: splitting (3) gives:
% 195.48/32.54  | | | 
% 195.48/32.54  | | | Case 1:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | |   (27)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2)
% 195.48/32.54  | | | |           = e1)
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | REF_CLOSE: (4), (5), (8), (11), (12), (13), (14), (15), (16), (19),
% 195.48/32.54  | | | |            (20), (22), (23), (26), (27) are inconsistent by sub-proof
% 195.48/32.54  | | | |            #576.
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | Case 2:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | |   (28)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0)
% 195.48/32.54  | | | |           = e1)
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | BETA: splitting (28) gives:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | Case 1:
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | |   (29)  all_56_4 = e1 & op(e3, e1) = e1
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | | ALPHA: (29) implies:
% 195.48/32.54  | | | | |   (30)  all_56_4 = e1
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | | REF_CLOSE: (2), (4), (5), (6), (10), (14), (16), (21), (22), (23),
% 195.48/32.54  | | | | |            (30) are inconsistent by sub-proof #1608.
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | Case 2:
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | |   (31)  all_56_9 = e1 & op(e3, e0) = e1
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | | ALPHA: (31) implies:
% 195.48/32.54  | | | | |   (32)  op(e3, e0) = e1
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | | REF_CLOSE: (5), (17), (18), (32) are inconsistent by sub-proof #1949.
% 195.48/32.54  | | | | | 
% 195.48/32.54  | | | | End of split
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | End of split
% 195.48/32.54  | | | 
% 195.48/32.54  | | Case 2:
% 195.48/32.54  | | | 
% 195.48/32.54  | | |   (33)  all_56_5 = e2 & op(e2, e1) = e2
% 195.48/32.54  | | | 
% 195.48/32.54  | | | ALPHA: (33) implies:
% 195.48/32.54  | | |   (34)  op(e2, e1) = e2
% 195.48/32.54  | | | 
% 195.48/32.54  | | | BETA: splitting (7) gives:
% 195.48/32.54  | | | 
% 195.48/32.54  | | | Case 1:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | |   (35)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1)
% 195.48/32.54  | | | |           = e1)
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | REF_CLOSE: (2), (4), (5), (6), (10), (14), (16), (21), (22), (23), (34),
% 195.48/32.54  | | | |            (35) are inconsistent by sub-proof #573.
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | Case 2:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | |   (36)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1)
% 195.48/32.54  | | | |           = e1)
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | REF_CLOSE: (1), (5), (9), (20), (21), (36) are inconsistent by sub-proof
% 195.48/32.54  | | | |            #1235.
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | End of split
% 195.48/32.54  | | | 
% 195.48/32.54  | | End of split
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (37)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 195.48/32.54  | |           e2)
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (4), (5), (10), (21), (37) are inconsistent by sub-proof #1610.
% 195.48/32.54  | | 
% 195.48/32.54  | End of split
% 195.48/32.54  | 
% 195.48/32.54  End of proof
% 195.48/32.54  
% 195.48/32.54  Sub-proof #573 shows that the following formulas are inconsistent:
% 195.48/32.54  ----------------------------------------------------------------
% 195.48/32.54    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.48/32.54         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.48/32.54    (2)   ~ (e3 = e2)
% 195.48/32.54    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.54    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.48/32.54         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.48/32.54    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 195.48/32.54    (6)  all_56_14 = e3
% 195.48/32.54    (7)   ~ (e1 = e0)
% 195.48/32.54    (8)   ~ (e2 = e1)
% 195.48/32.54    (9)  op(e1, e1) = e3
% 195.48/32.54    (10)   ~ (e2 = e0)
% 195.48/32.54    (11)  op(e2, e1) = e2
% 195.48/32.54    (12)   ~ (e3 = e0)
% 195.48/32.54  
% 195.48/32.54  Begin of proof
% 195.48/32.54  | 
% 195.48/32.54  | BETA: splitting (5) gives:
% 195.48/32.54  | 
% 195.48/32.54  | Case 1:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (13)  all_56_4 = e1 & op(e3, e1) = e1
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (13) implies:
% 195.48/32.54  | |   (14)  all_56_4 = e1
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (12), (14) are
% 195.48/32.54  | |            inconsistent by sub-proof #1608.
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (15)  all_56_5 = e1 & op(e2, e1) = e1
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (15) implies:
% 195.48/32.54  | |   (16)  op(e2, e1) = e1
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (3), (8), (11), (16) are inconsistent by sub-proof #1441.
% 195.48/32.54  | | 
% 195.48/32.54  | End of split
% 195.48/32.54  | 
% 195.48/32.54  End of proof
% 195.48/32.54  
% 195.48/32.54  Sub-proof #574 shows that the following formulas are inconsistent:
% 195.48/32.54  ----------------------------------------------------------------
% 195.48/32.54    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.48/32.54         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.48/32.54    (2)   ~ (e3 = e2)
% 195.48/32.54    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.54    (4)   ~ (all_52_8 = e3)
% 195.48/32.54    (5)   ~ (all_52_9 = e2)
% 195.48/32.54    (6)  op(e3, e3) = e2
% 195.48/32.54    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.48/32.54         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.54    (8)  all_56_0 = e2
% 195.48/32.54    (9)   ~ (e1 = e0)
% 195.48/32.54    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.48/32.54          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.48/32.54    (11)   ~ (e2 = e1)
% 195.48/32.54    (12)   ~ (all_52_12 = e1)
% 195.48/32.54    (13)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 195.48/32.54    (14)  op(e3, e0) = all_52_12
% 195.48/32.54    (15)  op(e2, e1) = all_52_9
% 195.48/32.54    (16)  op(e3, e1) = all_52_8
% 195.48/32.54    (17)   ~ (e3 = e1)
% 195.48/32.54    (18)   ~ (e2 = e0)
% 195.48/32.54    (19)   ~ (e3 = e0)
% 195.48/32.54  
% 195.48/32.54  Begin of proof
% 195.48/32.54  | 
% 195.48/32.54  | BETA: splitting (13) gives:
% 195.48/32.54  | 
% 195.48/32.54  | Case 1:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (20)  all_56_4 = e2 & op(e3, e1) = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14),
% 195.48/32.54  | |            (16), (17), (18), (19), (20) are inconsistent by sub-proof #575.
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (21)  all_56_5 = e2 & op(e2, e1) = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (21) implies:
% 195.48/32.54  | |   (22)  op(e2, e1) = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (3), (5), (15), (22) are inconsistent by sub-proof #1942.
% 195.48/32.54  | | 
% 195.48/32.54  | End of split
% 195.48/32.54  | 
% 195.48/32.54  End of proof
% 195.48/32.54  
% 195.48/32.54  Sub-proof #575 shows that the following formulas are inconsistent:
% 195.48/32.54  ----------------------------------------------------------------
% 195.48/32.54    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.48/32.54         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.48/32.54    (2)   ~ (e3 = e2)
% 195.48/32.54    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.54    (4)   ~ (all_52_8 = e3)
% 195.48/32.54    (5)  op(e3, e3) = e2
% 195.48/32.54    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.48/32.54         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.54    (7)  all_56_0 = e2
% 195.48/32.54    (8)   ~ (e1 = e0)
% 195.48/32.54    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.48/32.54         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.48/32.54    (10)   ~ (e2 = e1)
% 195.48/32.54    (11)   ~ (all_52_12 = e1)
% 195.48/32.54    (12)  op(e3, e0) = all_52_12
% 195.48/32.54    (13)  all_56_4 = e2 & op(e3, e1) = e2
% 195.48/32.54    (14)  op(e3, e1) = all_52_8
% 195.48/32.54    (15)   ~ (e3 = e1)
% 195.48/32.54    (16)   ~ (e2 = e0)
% 195.48/32.54    (17)   ~ (e3 = e0)
% 195.48/32.54  
% 195.48/32.54  Begin of proof
% 195.48/32.54  | 
% 195.48/32.54  | ALPHA: (13) implies:
% 195.48/32.54  |   (18)  all_56_4 = e2
% 195.48/32.54  | 
% 195.48/32.54  | BETA: splitting (1) gives:
% 195.48/32.54  | 
% 195.48/32.54  | Case 1:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 195.48/32.54  | |           e1)
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (14), (15), (16),
% 195.48/32.54  | |            (17), (18), (19) are inconsistent by sub-proof #576.
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (20)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 195.48/32.54  | |           e1)
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (3), (10), (11), (12), (18), (20) are inconsistent by sub-proof
% 195.48/32.54  | |            #920.
% 195.48/32.54  | | 
% 195.48/32.54  | End of split
% 195.48/32.54  | 
% 195.48/32.54  End of proof
% 195.48/32.54  
% 195.48/32.54  Sub-proof #576 shows that the following formulas are inconsistent:
% 195.48/32.54  ----------------------------------------------------------------
% 195.48/32.54    (1)   ~ (e3 = e2)
% 195.48/32.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.54    (3)   ~ (all_52_8 = e3)
% 195.48/32.54    (4)  op(e3, e3) = e2
% 195.48/32.54    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.48/32.54         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.54    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 195.48/32.54    (7)  all_56_0 = e2
% 195.48/32.54    (8)   ~ (e1 = e0)
% 195.48/32.54    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.48/32.54         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.48/32.54    (10)  all_56_4 = e2
% 195.48/32.54    (11)   ~ (e2 = e1)
% 195.48/32.54    (12)  op(e3, e1) = all_52_8
% 195.48/32.54    (13)   ~ (e3 = e1)
% 195.48/32.54    (14)   ~ (e2 = e0)
% 195.48/32.54    (15)   ~ (e3 = e0)
% 195.48/32.54  
% 195.48/32.54  Begin of proof
% 195.48/32.54  | 
% 195.48/32.54  | BETA: splitting (6) gives:
% 195.48/32.54  | 
% 195.48/32.54  | Case 1:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (16)  all_56_0 = e1 & op(e3, e3) = e1
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (16) implies:
% 195.48/32.54  | |   (17)  op(e3, e3) = e1
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (2), (4), (11), (17) are inconsistent by sub-proof #1934.
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (18)  all_56_1 = e1 & op(e3, e2) = e1
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (18) implies:
% 195.48/32.54  | |   (19)  all_56_1 = e1
% 195.48/32.54  | | 
% 195.48/32.54  | | BETA: splitting (5) gives:
% 195.48/32.54  | | 
% 195.48/32.54  | | Case 1:
% 195.48/32.54  | | | 
% 195.48/32.54  | | |   (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 195.48/32.54  | | |           e0)
% 195.48/32.54  | | | 
% 195.48/32.54  | | | BETA: splitting (20) gives:
% 195.48/32.54  | | | 
% 195.48/32.54  | | | Case 1:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | |   (21)  all_56_0 = e0 & op(e3, e3) = e0
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | REF_CLOSE: (7), (14), (21) are inconsistent by sub-proof #1461.
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | Case 2:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | |   (22)  all_56_1 = e0 & op(e3, e2) = e0
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | REF_CLOSE: (8), (19), (22) are inconsistent by sub-proof #1534.
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | End of split
% 195.48/32.54  | | | 
% 195.48/32.54  | | Case 2:
% 195.48/32.54  | | | 
% 195.48/32.54  | | |   (23)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 195.48/32.54  | | |           e0)
% 195.48/32.54  | | | 
% 195.48/32.54  | | | BETA: splitting (23) gives:
% 195.48/32.54  | | | 
% 195.48/32.54  | | | Case 1:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | |   (24)  all_56_4 = e0 & op(e3, e1) = e0
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | REF_CLOSE: (10), (14), (24) are inconsistent by sub-proof #1876.
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | Case 2:
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | |   (25)  all_56_9 = e0 & op(e3, e0) = e0
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | ALPHA: (25) implies:
% 195.48/32.54  | | | |   (26)  op(e3, e0) = e0
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | | REF_CLOSE: (1), (2), (3), (4), (9), (12), (13), (15), (19), (26) are
% 195.48/32.54  | | | |            inconsistent by sub-proof #688.
% 195.48/32.54  | | | | 
% 195.48/32.54  | | | End of split
% 195.48/32.54  | | | 
% 195.48/32.54  | | End of split
% 195.48/32.54  | | 
% 195.48/32.54  | End of split
% 195.48/32.54  | 
% 195.48/32.54  End of proof
% 195.48/32.54  
% 195.48/32.54  Sub-proof #577 shows that the following formulas are inconsistent:
% 195.48/32.54  ----------------------------------------------------------------
% 195.48/32.54    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.54    (2)  op(e1, e0) = all_52_14
% 195.48/32.54    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.48/32.54         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.48/32.54    (4)  all_56_6 = e0
% 195.48/32.54    (5)   ~ (all_52_14 = e1)
% 195.48/32.54    (6)   ~ (e1 = e0)
% 195.48/32.54    (7)   ~ (e2 = e1)
% 195.48/32.54    (8)  all_56_7 = e2
% 195.48/32.54    (9)   ~ (e3 = e1)
% 195.48/32.54    (10)  op(e1, e1) = e3
% 195.48/32.54  
% 195.48/32.54  Begin of proof
% 195.48/32.54  | 
% 195.48/32.54  | BETA: splitting (3) gives:
% 195.48/32.54  | 
% 195.48/32.54  | Case 1:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (11)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 195.48/32.54  | |           e1)
% 195.48/32.54  | | 
% 195.48/32.54  | | BETA: splitting (11) gives:
% 195.48/32.54  | | 
% 195.48/32.54  | | Case 1:
% 195.48/32.54  | | | 
% 195.48/32.54  | | |   (12)  all_56_6 = e1 & op(e1, e3) = e1
% 195.48/32.54  | | | 
% 195.48/32.54  | | | ALPHA: (12) implies:
% 195.48/32.54  | | |   (13)  all_56_6 = e1
% 195.48/32.54  | | | 
% 195.48/32.54  | | | REF_CLOSE: (4), (6), (13) are inconsistent by sub-proof #1565.
% 195.48/32.54  | | | 
% 195.48/32.54  | | Case 2:
% 195.48/32.54  | | | 
% 195.48/32.54  | | |   (14)  all_56_7 = e1 & op(e1, e2) = e1
% 195.48/32.54  | | | 
% 195.48/32.54  | | | REF_CLOSE: (7), (8), (14) are inconsistent by sub-proof #1765.
% 195.48/32.54  | | | 
% 195.48/32.54  | | End of split
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (15)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 195.48/32.54  | |           e1)
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (1), (2), (5), (9), (10), (15) are inconsistent by sub-proof
% 195.48/32.54  | |            #1770.
% 195.48/32.54  | | 
% 195.48/32.54  | End of split
% 195.48/32.54  | 
% 195.48/32.54  End of proof
% 195.48/32.54  
% 195.48/32.54  Sub-proof #578 shows that the following formulas are inconsistent:
% 195.48/32.54  ----------------------------------------------------------------
% 195.48/32.54    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 195.48/32.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.54    (3)  op(e3, e2) = all_52_4
% 195.48/32.54    (4)  op(e2, e2) = e1
% 195.48/32.54    (5)   ~ (all_52_4 = e2)
% 195.48/32.54    (6)   ~ (e2 = e1)
% 195.48/32.54  
% 195.48/32.54  Begin of proof
% 195.48/32.54  | 
% 195.48/32.54  | BETA: splitting (1) gives:
% 195.48/32.54  | 
% 195.48/32.54  | Case 1:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (7) implies:
% 195.48/32.54  | |   (8)  op(e3, e2) = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #825.
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (9) implies:
% 195.48/32.54  | |   (10)  op(e2, e2) = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1783.
% 195.48/32.54  | | 
% 195.48/32.54  | End of split
% 195.48/32.54  | 
% 195.48/32.54  End of proof
% 195.48/32.54  
% 195.48/32.54  Sub-proof #579 shows that the following formulas are inconsistent:
% 195.48/32.54  ----------------------------------------------------------------
% 195.48/32.54    (1)   ~ (e3 = e2)
% 195.48/32.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.54    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.48/32.54    (4)  all_56_14 = e3
% 195.48/32.54    (5)  op(e1, e1) = e0
% 195.48/32.54    (6)   ~ (e2 = e0)
% 195.48/32.54  
% 195.48/32.54  Begin of proof
% 195.48/32.54  | 
% 195.48/32.54  | BETA: splitting (3) gives:
% 195.48/32.54  | 
% 195.48/32.54  | Case 1:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (7) implies:
% 195.48/32.54  | |   (8)  op(e1, e1) = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1821.
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (9)  all_56_14 = e2 & op(e0, e1) = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (9) implies:
% 195.48/32.54  | |   (10)  all_56_14 = e2
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (1), (4), (10) are inconsistent by sub-proof #1495.
% 195.48/32.54  | | 
% 195.48/32.54  | End of split
% 195.48/32.54  | 
% 195.48/32.54  End of proof
% 195.48/32.54  
% 195.48/32.54  Sub-proof #580 shows that the following formulas are inconsistent:
% 195.48/32.54  ----------------------------------------------------------------
% 195.48/32.54    (1)  op(e0, e0) = e1
% 195.48/32.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.54    (3)  op(e0, e3) = e0
% 195.48/32.54    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.48/32.54           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.48/32.54           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.48/32.54                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.48/32.54               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.48/32.54               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.48/32.54           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 195.48/32.54           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.48/32.54               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.48/32.54           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.48/32.54               = all_57_2 & $i(all_57_2))))
% 195.48/32.54    (5)  op(e3, e3) = e2
% 195.48/32.54    (6)   ~ (e2 = e1)
% 195.48/32.54    (7)   ~ (e3 = e1)
% 195.48/32.54  
% 195.48/32.54  Begin of proof
% 195.48/32.54  | 
% 195.48/32.54  | BETA: splitting (4) gives:
% 195.48/32.54  | 
% 195.48/32.54  | Case 1:
% 195.48/32.54  | | 
% 195.48/32.54  | |   (8)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.48/32.54  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.48/32.54  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.48/32.54  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 195.48/32.54  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 195.48/32.54  | |            & $i(all_57_8)))
% 195.48/32.54  | | 
% 195.48/32.54  | | ALPHA: (8) implies:
% 195.48/32.54  | |   (9)  op(e3, e3) = e1
% 195.48/32.54  | | 
% 195.48/32.54  | | REF_CLOSE: (2), (5), (6), (9) are inconsistent by sub-proof #1934.
% 195.48/32.54  | | 
% 195.48/32.54  | Case 2:
% 195.48/32.54  | | 
% 195.48/32.55  | |   (10)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.48/32.55  | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.48/32.55  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.48/32.55  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 195.48/32.55  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.48/32.55  | |             all_57_2 & $i(all_57_2)))
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (10) implies:
% 195.48/32.55  | |   (11)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.48/32.55  | |             e3) = all_57_2 & $i(all_57_2))
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (2), (3), (7), (11) are inconsistent by sub-proof #911.
% 195.48/32.55  | | 
% 195.48/32.55  | End of split
% 195.48/32.55  | 
% 195.48/32.55  End of proof
% 195.48/32.55  
% 195.48/32.55  Sub-proof #581 shows that the following formulas are inconsistent:
% 195.48/32.55  ----------------------------------------------------------------
% 195.48/32.55    (1)   ~ (all_52_13 = e3)
% 195.48/32.55    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.55    (3)  op(e2, e2) = e1
% 195.48/32.55    (4)   ~ (all_52_9 = e3)
% 195.48/32.55    (5)  op(e2, e0) = all_52_13
% 195.48/32.55    (6)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.48/32.55         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.48/32.55    (7)  all_56_2 = e0
% 195.48/32.55    (8)  op(e2, e1) = all_52_9
% 195.48/32.55    (9)   ~ (e3 = e1)
% 195.48/32.55    (10)   ~ (e3 = e0)
% 195.48/32.55  
% 195.48/32.55  Begin of proof
% 195.48/32.55  | 
% 195.48/32.55  | BETA: splitting (6) gives:
% 195.48/32.55  | 
% 195.48/32.55  | Case 1:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (11)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 195.48/32.55  | |           e3)
% 195.48/32.55  | | 
% 195.48/32.55  | | BETA: splitting (11) gives:
% 195.48/32.55  | | 
% 195.48/32.55  | | Case 1:
% 195.48/32.55  | | | 
% 195.48/32.55  | | |   (12)  all_56_2 = e3 & op(e2, e3) = e3
% 195.48/32.55  | | | 
% 195.48/32.55  | | | REF_CLOSE: (7), (10), (12) are inconsistent by sub-proof #1626.
% 195.48/32.55  | | | 
% 195.48/32.55  | | Case 2:
% 195.48/32.55  | | | 
% 195.48/32.55  | | |   (13)  all_56_3 = e3 & op(e2, e2) = e3
% 195.48/32.55  | | | 
% 195.48/32.55  | | | ALPHA: (13) implies:
% 195.48/32.55  | | |   (14)  op(e2, e2) = e3
% 195.48/32.55  | | | 
% 195.48/32.55  | | | REF_CLOSE: (2), (3), (9), (14) are inconsistent by sub-proof #1679.
% 195.48/32.55  | | | 
% 195.48/32.55  | | End of split
% 195.48/32.55  | | 
% 195.48/32.55  | Case 2:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (15)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 195.48/32.55  | |           e3)
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (2), (4), (5), (8), (15) are inconsistent by sub-proof
% 195.48/32.55  | |            #1455.
% 195.48/32.55  | | 
% 195.48/32.55  | End of split
% 195.48/32.55  | 
% 195.48/32.55  End of proof
% 195.48/32.55  
% 195.48/32.55  Sub-proof #582 shows that the following formulas are inconsistent:
% 195.48/32.55  ----------------------------------------------------------------
% 195.48/32.55    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.48/32.55         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.48/32.55    (2)   ~ (all_52_3 = e1)
% 195.48/32.55    (3)   ~ (e3 = e2)
% 195.48/32.55    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.55    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 195.48/32.55         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.48/32.55    (6)  op(e0, e3) = all_52_3
% 195.48/32.55    (7)  all_56_14 = e2
% 195.48/32.55    (8)  op(e0, e2) = e0
% 195.48/32.55    (9)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.48/32.55           all_57_5 & $i(all_57_5))
% 195.48/32.55    (10)  op(e0, e1) = all_52_11
% 195.48/32.55    (11)   ~ (e1 = e0)
% 195.48/32.55    (12)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.48/32.55              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.48/32.55                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.48/32.55                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.48/32.55    (13)   ~ (e2 = e1)
% 195.48/32.55    (14)   ~ (e3 = e1)
% 195.48/32.55    (15)   ~ (e2 = e0)
% 195.48/32.55    (16)   ~ (e3 = e0)
% 195.48/32.55    (17)   ~ (all_52_3 = all_52_11)
% 195.48/32.55  
% 195.48/32.55  Begin of proof
% 195.48/32.55  | 
% 195.48/32.55  | BETA: splitting (9) gives:
% 195.48/32.55  | 
% 195.48/32.55  | Case 1:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (18)  all_57_15 = e2 & op(e0, e0) = e2
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (18) implies:
% 195.48/32.55  | |   (19)  op(e0, e0) = e2
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (11), (12), (13), (14),
% 195.48/32.55  | |            (15), (16), (17), (19) are inconsistent by sub-proof #1228.
% 195.48/32.55  | | 
% 195.48/32.55  | Case 2:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (20)   ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (20) implies:
% 195.48/32.55  | |   (21)   ~ (all_57_5 = e0)
% 195.48/32.55  | |   (22)  op(e0, e2) = all_57_5
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (4), (8), (21), (22) are inconsistent by sub-proof #1589.
% 195.48/32.55  | | 
% 195.48/32.55  | End of split
% 195.48/32.55  | 
% 195.48/32.55  End of proof
% 195.48/32.55  
% 195.48/32.55  Sub-proof #583 shows that the following formulas are inconsistent:
% 195.48/32.55  ----------------------------------------------------------------
% 195.48/32.55    (1)   ~ (all_52_14 = e0)
% 195.48/32.55    (2)  all_54_6 = all_52_9
% 195.48/32.55    (3)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.48/32.55    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.55    (5)   ~ (all_52_9 = e0)
% 195.48/32.55    (6)  op(e1, e0) = all_52_14
% 195.48/32.55    (7)   ~ (all_52_9 = e2)
% 195.48/32.55    (8)  op(e0, e1) = all_52_11
% 195.48/32.55    (9)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.48/32.55           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.48/32.55           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.48/32.55                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.48/32.55               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.48/32.55               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 195.48/32.55           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 195.48/32.55             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.48/32.55               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.48/32.55           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.48/32.55               = all_57_7 & $i(all_57_7))))
% 195.48/32.55    (10)   ~ (all_52_9 = all_52_11)
% 195.48/32.55  
% 195.48/32.55  Begin of proof
% 195.48/32.55  | 
% 195.48/32.55  | BETA: splitting (9) gives:
% 195.48/32.55  | 
% 195.48/32.55  | Case 1:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (11)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.48/32.55  | |         op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.48/32.55  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.48/32.55  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 195.48/32.55  | |             e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.48/32.55  | |             all_57_11 & $i(all_57_11)))
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (11) implies:
% 195.48/32.55  | |   (12)  op(e0, e1) = e1
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (10), (12) are inconsistent by
% 195.48/32.55  | |            sub-proof #648.
% 195.48/32.55  | | 
% 195.48/32.55  | Case 2:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (13)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.48/32.55  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.48/32.55  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 195.48/32.55  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 195.48/32.55  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.48/32.55  | |             all_57_7 & $i(all_57_7)))
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (13) implies:
% 195.48/32.55  | |   (14)  op(e1, e0) = e0
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (4), (6), (14) are inconsistent by sub-proof #1884.
% 195.48/32.55  | | 
% 195.48/32.55  | End of split
% 195.48/32.55  | 
% 195.48/32.55  End of proof
% 195.48/32.55  
% 195.48/32.55  Sub-proof #584 shows that the following formulas are inconsistent:
% 195.48/32.55  ----------------------------------------------------------------
% 195.48/32.55    (1)   ~ (e3 = e2)
% 195.48/32.55    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.55    (3)  all_56_10 = e2
% 195.48/32.55    (4)  op(e2, e2) = all_4_2
% 195.48/32.55    (5)  op(e0, e1) = e2
% 195.48/32.55    (6)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.48/32.55         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.48/32.55    (7)   ~ (all_4_2 = e3)
% 195.48/32.55    (8)  all_56_5 = e1
% 195.48/32.55    (9)  all_56_2 = e3
% 195.48/32.55    (10)  op(e0, e2) = e2
% 195.48/32.55    (11)  op(e0, e1) = all_14_1
% 195.48/32.55    (12)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 195.48/32.55            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 195.48/32.55              e1) = all_16_1 & $i(all_16_1))
% 195.48/32.55    (13)   ~ (e3 = e1)
% 195.48/32.55    (14)  op(e0, e2) = e3
% 195.48/32.55  
% 195.48/32.55  Begin of proof
% 195.48/32.55  | 
% 195.48/32.55  | BETA: splitting (12) gives:
% 195.48/32.55  | 
% 195.48/32.55  | Case 1:
% 195.48/32.55  | | 
% 195.48/32.55  | | 
% 195.48/32.55  | | GROUND_INST: instantiating (2) with e2, e3, e2, e0, simplifying with (10),
% 195.48/32.55  | |              (14) gives:
% 195.48/32.55  | |   (15)  e3 = e2
% 195.48/32.55  | | 
% 195.48/32.55  | | COMBINE_EQS: (9), (15) imply:
% 195.48/32.55  | |   (16)  all_56_2 = e2
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (13), (16) are inconsistent by
% 195.48/32.55  | |            sub-proof #1398.
% 195.48/32.55  | | 
% 195.48/32.55  | Case 2:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (17)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 & $i(all_16_1)
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (17) implies:
% 195.48/32.55  | |   (18)   ~ (all_16_1 = e2)
% 195.48/32.55  | |   (19)  op(e0, e1) = all_16_1
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (2), (5), (11), (18), (19) are inconsistent by sub-proof #613.
% 195.48/32.55  | | 
% 195.48/32.55  | End of split
% 195.48/32.55  | 
% 195.48/32.55  End of proof
% 195.48/32.55  
% 195.48/32.55  Sub-proof #585 shows that the following formulas are inconsistent:
% 195.48/32.55  ----------------------------------------------------------------
% 195.48/32.55    (1)  op(e0, e0) = e1
% 195.48/32.55    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.55    (3)   ~ (all_52_14 = e3)
% 195.48/32.55    (4)  op(e1, e0) = all_52_14
% 195.48/32.55    (5)   ~ (e3 = e1)
% 195.48/32.55    (6)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.48/32.55  
% 195.48/32.55  Begin of proof
% 195.48/32.55  | 
% 195.48/32.55  | BETA: splitting (6) gives:
% 195.48/32.55  | 
% 195.48/32.55  | Case 1:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (7)  all_56_11 = e3 & op(e1, e0) = e3
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1407.
% 195.48/32.55  | | 
% 195.48/32.55  | Case 2:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (8)  all_56_15 = e3 & op(e0, e0) = e3
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (8) implies:
% 195.48/32.55  | |   (9)  op(e0, e0) = e3
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1392.
% 195.48/32.55  | | 
% 195.48/32.55  | End of split
% 195.48/32.55  | 
% 195.48/32.55  End of proof
% 195.48/32.55  
% 195.48/32.55  Sub-proof #586 shows that the following formulas are inconsistent:
% 195.48/32.55  ----------------------------------------------------------------
% 195.48/32.55    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.55    (2)  op(e2, e0) = all_52_13
% 195.48/32.55    (3)   ~ (all_52_13 = e1)
% 195.48/32.55    (4)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.48/32.55    (5)   ~ (e2 = e1)
% 195.48/32.55    (6)  op(e2, e1) = e2
% 195.48/32.55  
% 195.48/32.55  Begin of proof
% 195.48/32.55  | 
% 195.48/32.55  | BETA: splitting (4) gives:
% 195.48/32.55  | 
% 195.48/32.55  | Case 1:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (7)  all_56_5 = e1 & op(e2, e1) = e1
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (7) implies:
% 195.48/32.55  | |   (8)  op(e2, e1) = e1
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1441.
% 195.48/32.55  | | 
% 195.48/32.55  | Case 2:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (9)  all_56_10 = e1 & op(e2, e0) = e1
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (9) implies:
% 195.48/32.55  | |   (10)  op(e2, e0) = e1
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1650.
% 195.48/32.55  | | 
% 195.48/32.55  | End of split
% 195.48/32.55  | 
% 195.48/32.55  End of proof
% 195.48/32.55  
% 195.48/32.55  Sub-proof #587 shows that the following formulas are inconsistent:
% 195.48/32.55  ----------------------------------------------------------------
% 195.48/32.55    (1)   ~ (all_52_14 = e0)
% 195.48/32.55    (2)   ~ (all_52_11 = e1)
% 195.48/32.55    (3)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.48/32.55           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.48/32.55           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.48/32.55                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.48/32.55               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.48/32.55               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.48/32.55           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.48/32.55             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.48/32.55               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.55           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.48/32.55               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.48/32.55           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.48/32.55           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.48/32.55               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.48/32.55               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.48/32.55               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.48/32.55         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.48/32.55           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.48/32.55           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.48/32.55               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.48/32.55             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.48/32.55    (4)   ~ (e3 = e2)
% 195.48/32.55    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.55    (6)  op(e2, e0) = e3
% 195.48/32.55    (7)  op(e2, e0) = all_36_1
% 195.48/32.55    (8)  op(e2, e0) = all_52_13
% 195.48/32.55    (9)  op(e1, e0) = all_52_14
% 195.48/32.55    (10)  op(e0, e1) = all_52_11
% 195.48/32.55    (11)   ~ (all_52_13 = e0)
% 195.48/32.55  
% 195.48/32.55  Begin of proof
% 195.48/32.55  | 
% 195.48/32.55  | BETA: splitting (3) gives:
% 195.48/32.55  | 
% 195.48/32.55  | Case 1:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (12)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.48/32.55  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.48/32.55  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.55  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.48/32.55  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 195.48/32.55  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 195.48/32.55  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 195.48/32.55  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.48/32.55  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 195.48/32.55  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 195.48/32.55  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.48/32.55  | |               $i(all_57_4))))
% 195.48/32.55  | | 
% 195.48/32.55  | | BETA: splitting (12) gives:
% 195.48/32.55  | | 
% 195.48/32.55  | | Case 1:
% 195.48/32.55  | | | 
% 195.48/32.55  | | |   (13)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 195.48/32.55  | | |         & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.48/32.55  | | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.55  | | |             (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.48/32.55  | | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 195.48/32.55  | | |             op(e1, e0) = all_57_13 & $i(all_57_13)))
% 195.48/32.55  | | | 
% 195.48/32.55  | | | ALPHA: (13) implies:
% 195.48/32.55  | | |   (14)  op(e2, e0) = e2
% 195.48/32.55  | | | 
% 195.48/32.55  | | | REF_CLOSE: (4), (5), (6), (7), (14) are inconsistent by sub-proof #1709.
% 195.48/32.55  | | | 
% 195.48/32.55  | | Case 2:
% 195.48/32.55  | | | 
% 195.48/32.55  | | |   (15)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.48/32.55  | | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.48/32.55  | | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.48/32.55  | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.55  | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 195.48/32.55  | | |               e2) = all_57_4 & $i(all_57_4)))
% 195.48/32.55  | | | 
% 195.48/32.55  | | | ALPHA: (15) implies:
% 195.48/32.55  | | |   (16)  op(e2, e0) = e0
% 195.48/32.55  | | | 
% 195.48/32.55  | | | REF_CLOSE: (5), (8), (11), (16) are inconsistent by sub-proof #1173.
% 195.48/32.55  | | | 
% 195.48/32.55  | | End of split
% 195.48/32.55  | | 
% 195.48/32.55  | Case 2:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (17)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.48/32.55  | |           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.48/32.55  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.48/32.55  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.48/32.55  | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 195.48/32.55  | |               op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 195.48/32.55  | |           all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1,
% 195.48/32.55  | |             e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.48/32.55  | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 195.48/32.55  | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 195.48/32.55  | |                 e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.48/32.55  | |               $i(all_57_7))))
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (2), (5), (9), (10), (17) are inconsistent by sub-proof
% 195.48/32.55  | |            #1883.
% 195.48/32.55  | | 
% 195.48/32.55  | End of split
% 195.48/32.55  | 
% 195.48/32.55  End of proof
% 195.48/32.55  
% 195.48/32.55  Sub-proof #588 shows that the following formulas are inconsistent:
% 195.48/32.55  ----------------------------------------------------------------
% 195.48/32.55    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.55    (2)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.48/32.55           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.48/32.55           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.48/32.55                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 195.48/32.55               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.48/32.55               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.48/32.55           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 195.48/32.55           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.48/32.55               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.48/32.55           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 195.48/32.55               = all_57_5 & $i(all_57_5))))
% 195.48/32.55    (3)   ~ (e1 = e0)
% 195.48/32.55    (4)   ~ (e2 = e1)
% 195.48/32.55    (5)  op(e2, e2) = e0
% 195.48/32.55    (6)  op(e2, e1) = e2
% 195.48/32.55  
% 195.48/32.55  Begin of proof
% 195.48/32.55  | 
% 195.48/32.55  | BETA: splitting (2) gives:
% 195.48/32.55  | 
% 195.48/32.55  | Case 1:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.48/32.55  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.48/32.55  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.48/32.55  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 195.48/32.55  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 195.48/32.55  | |            & $i(all_57_8)))
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (7) implies:
% 195.48/32.55  | |   (8)  op(e2, e2) = e1
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1909.
% 195.48/32.55  | | 
% 195.48/32.55  | Case 2:
% 195.48/32.55  | | 
% 195.48/32.55  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 195.48/32.55  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.48/32.55  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 195.48/32.55  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.48/32.55  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 195.48/32.55  | |            & $i(all_57_5)))
% 195.48/32.55  | | 
% 195.48/32.55  | | ALPHA: (9) implies:
% 195.48/32.55  | |   (10)  op(e2, e1) = e1
% 195.48/32.55  | | 
% 195.48/32.55  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1441.
% 195.48/32.55  | | 
% 195.48/32.55  | End of split
% 195.48/32.55  | 
% 195.48/32.55  End of proof
% 195.48/32.55  
% 195.48/32.55  Sub-proof #589 shows that the following formulas are inconsistent:
% 195.48/32.55  ----------------------------------------------------------------
% 195.48/32.55    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.48/32.55         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.48/32.55    (2)   ~ (e3 = e2)
% 195.48/32.55    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.48/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.48/32.55    (4)  op(e2, e2) = all_4_2
% 195.48/32.55    (5)  op(e2, e0) = all_52_13
% 195.48/32.55    (6)   ~ (all_52_13 = e1)
% 195.48/32.55    (7)  all_56_10 = e3
% 195.59/32.55    (8)   ~ (all_4_2 = e1)
% 195.59/32.55    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.59/32.55         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.59/32.55    (10)   ~ (all_4_2 = e3)
% 195.59/32.55    (11)  op(e3, e3) = e2
% 195.59/32.55    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 195.59/32.55    (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.59/32.55          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.59/32.55    (14)   ~ (e1 = e0)
% 195.59/32.55    (15)   ~ (e2 = e1)
% 195.59/32.55    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.59/32.55          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.59/32.55    (17)   ~ (e3 = e1)
% 195.59/32.55    (18)   ~ (e2 = e0)
% 195.59/32.55    (19)   ~ (e3 = e0)
% 195.59/32.55  
% 195.59/32.55  Begin of proof
% 195.59/32.55  | 
% 195.59/32.55  | BETA: splitting (12) gives:
% 195.59/32.55  | 
% 195.59/32.55  | Case 1:
% 195.59/32.55  | | 
% 195.59/32.55  | |   (20)  all_56_0 = e3 & op(e3, e3) = e3
% 195.59/32.55  | | 
% 195.59/32.55  | | ALPHA: (20) implies:
% 195.59/32.55  | |   (21)  op(e3, e3) = e3
% 195.59/32.55  | | 
% 195.59/32.55  | | REF_CLOSE: (2), (3), (11), (21) are inconsistent by sub-proof #1957.
% 195.59/32.55  | | 
% 195.59/32.55  | Case 2:
% 195.59/32.55  | | 
% 195.59/32.55  | |   (22)  all_56_2 = e3 & op(e2, e3) = e3
% 195.59/32.55  | | 
% 195.59/32.55  | | ALPHA: (22) implies:
% 195.59/32.55  | |   (23)  all_56_2 = e3
% 195.59/32.55  | | 
% 195.59/32.55  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (13), (14),
% 195.59/32.55  | |            (15), (16), (17), (18), (19), (23) are inconsistent by sub-proof
% 195.59/32.55  | |            #886.
% 195.59/32.55  | | 
% 195.59/32.55  | End of split
% 195.59/32.55  | 
% 195.59/32.55  End of proof
% 195.59/32.55  
% 195.59/32.55  Sub-proof #590 shows that the following formulas are inconsistent:
% 195.59/32.55  ----------------------------------------------------------------
% 195.59/32.55    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.55    (2)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 195.59/32.55    (3)   ~ (all_52_1 = e2)
% 195.59/32.55    (4)  op(e2, e2) = e0
% 195.59/32.55    (5)   ~ (e2 = e0)
% 195.59/32.55    (6)  op(e2, e3) = all_52_1
% 195.59/32.55  
% 195.59/32.55  Begin of proof
% 195.59/32.55  | 
% 195.59/32.55  | BETA: splitting (2) gives:
% 195.59/32.55  | 
% 195.59/32.55  | Case 1:
% 195.59/32.55  | | 
% 195.59/32.55  | |   (7)  all_56_2 = e2 & op(e2, e3) = e2
% 195.59/32.55  | | 
% 195.59/32.55  | | ALPHA: (7) implies:
% 195.59/32.55  | |   (8)  op(e2, e3) = e2
% 195.59/32.55  | | 
% 195.59/32.55  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1785.
% 195.59/32.55  | | 
% 195.59/32.55  | Case 2:
% 195.59/32.55  | | 
% 195.59/32.55  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 195.59/32.55  | | 
% 195.59/32.55  | | ALPHA: (9) implies:
% 195.59/32.55  | |   (10)  op(e2, e2) = e2
% 195.59/32.55  | | 
% 195.59/32.55  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1939.
% 195.59/32.55  | | 
% 195.59/32.55  | End of split
% 195.59/32.55  | 
% 195.59/32.55  End of proof
% 195.59/32.55  
% 195.59/32.55  Sub-proof #591 shows that the following formulas are inconsistent:
% 195.59/32.55  ----------------------------------------------------------------
% 195.59/32.55    (1)  op(e0, e0) = e1
% 195.59/32.55    (2)   ~ (e3 = e2)
% 195.59/32.55    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.55    (4)  all_56_9 = e0
% 195.59/32.55    (5)  all_56_10 = e3
% 195.59/32.55    (6)  all_56_11 = e3
% 195.59/32.55    (7)   ~ (e2 = e1)
% 195.59/32.55    (8)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.59/32.55         (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.59/32.55    (9)   ~ (e2 = e0)
% 195.59/32.55  
% 195.59/32.55  Begin of proof
% 195.59/32.55  | 
% 195.59/32.55  | BETA: splitting (8) gives:
% 195.59/32.55  | 
% 195.59/32.55  | Case 1:
% 195.59/32.55  | | 
% 195.59/32.55  | |   (10)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 195.59/32.55  | |           e2)
% 195.59/32.55  | | 
% 195.59/32.55  | | BETA: splitting (10) gives:
% 195.59/32.55  | | 
% 195.59/32.55  | | Case 1:
% 195.59/32.55  | | | 
% 195.59/32.55  | | |   (11)  all_56_9 = e2 & op(e3, e0) = e2
% 195.59/32.55  | | | 
% 195.59/32.55  | | | ALPHA: (11) implies:
% 195.59/32.55  | | |   (12)  all_56_9 = e2
% 195.59/32.55  | | | 
% 195.59/32.55  | | | REF_CLOSE: (4), (9), (12) are inconsistent by sub-proof #1919.
% 195.59/32.55  | | | 
% 195.59/32.55  | | Case 2:
% 195.59/32.55  | | | 
% 195.59/32.55  | | |   (13)  all_56_10 = e2 & op(e2, e0) = e2
% 195.59/32.55  | | | 
% 195.59/32.55  | | | REF_CLOSE: (2), (5), (13) are inconsistent by sub-proof #1550.
% 195.59/32.55  | | | 
% 195.59/32.55  | | End of split
% 195.59/32.55  | | 
% 195.59/32.55  | Case 2:
% 195.59/32.55  | | 
% 195.59/32.55  | |   (14)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.59/32.55  | |           e2)
% 195.59/32.55  | | 
% 195.59/32.55  | | REF_CLOSE: (1), (2), (3), (6), (7), (14) are inconsistent by sub-proof #592.
% 195.59/32.55  | | 
% 195.59/32.55  | End of split
% 195.59/32.55  | 
% 195.59/32.55  End of proof
% 195.59/32.55  
% 195.59/32.55  Sub-proof #592 shows that the following formulas are inconsistent:
% 195.59/32.55  ----------------------------------------------------------------
% 195.59/32.55    (1)  op(e0, e0) = e1
% 195.59/32.55    (2)   ~ (e3 = e2)
% 195.59/32.55    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.55    (4)  all_56_11 = e3
% 195.59/32.55    (5)   ~ (e2 = e1)
% 195.59/32.55    (6)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.59/32.55  
% 195.59/32.55  Begin of proof
% 195.59/32.55  | 
% 195.59/32.55  | BETA: splitting (6) gives:
% 195.59/32.55  | 
% 195.59/32.55  | Case 1:
% 195.59/32.55  | | 
% 195.59/32.55  | |   (7)  all_56_11 = e2 & op(e1, e0) = e2
% 195.59/32.55  | | 
% 195.59/32.55  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #908.
% 195.59/32.55  | | 
% 195.59/32.55  | Case 2:
% 195.59/32.55  | | 
% 195.59/32.55  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 195.59/32.55  | | 
% 195.59/32.55  | | ALPHA: (8) implies:
% 195.59/32.55  | |   (9)  op(e0, e0) = e2
% 195.59/32.55  | | 
% 195.59/32.55  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #1780.
% 195.59/32.55  | | 
% 195.59/32.55  | End of split
% 195.59/32.55  | 
% 195.59/32.55  End of proof
% 195.59/32.55  
% 195.59/32.55  Sub-proof #593 shows that the following formulas are inconsistent:
% 195.59/32.55  ----------------------------------------------------------------
% 195.59/32.55    (1)   ~ (all_52_3 = e1)
% 195.59/32.55    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.59/32.55         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.59/32.55    (3)   ~ (e3 = e2)
% 195.59/32.55    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.55    (5)  op(e2, e2) = all_4_2
% 195.59/32.55    (6)  op(e0, e3) = all_52_3
% 195.59/32.55    (7)  op(e2, e0) = all_52_13
% 195.59/32.55    (8)  op(e1, e0) = all_52_14
% 195.59/32.55    (9)   ~ (all_52_13 = e1)
% 195.59/32.55    (10)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.59/32.55          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.59/32.56    (11)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 195.59/32.56            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 195.59/32.56              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 195.59/32.56    (12)   ~ (all_52_14 = e1)
% 195.59/32.56    (13)  op(e1, e1) = e0
% 195.59/32.56    (14)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.59/32.56          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.59/32.56    (15)   ~ (all_4_2 = e3)
% 195.59/32.56    (16)  op(e3, e3) = e2
% 195.59/32.56    (17)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.59/32.56          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.59/32.56    (18)   ~ (e1 = e0)
% 195.59/32.56    (19)  all_36_2 = e0
% 195.59/32.56    (20)   ~ (e2 = e1)
% 195.59/32.56    (21)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.59/32.56          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.59/32.56    (22)  op(e2, e2) = e0
% 195.59/32.56    (23)   ~ (e3 = e1)
% 195.59/32.56    (24)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.59/32.56          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.59/32.56    (25)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.59/32.56          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.59/32.56    (26)   ~ (e2 = e0)
% 195.59/32.56    (27)  all_56_2 = e0 & op(e2, e3) = e0
% 195.59/32.56    (28)   ~ (e3 = e0)
% 195.59/32.56  
% 195.59/32.56  Begin of proof
% 195.59/32.56  | 
% 195.59/32.56  | ALPHA: (27) implies:
% 195.59/32.56  |   (29)  all_56_2 = e0
% 195.59/32.56  | 
% 195.59/32.56  | BETA: splitting (2) gives:
% 195.59/32.56  | 
% 195.59/32.56  | Case 1:
% 195.59/32.56  | | 
% 195.59/32.56  | |   (30)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 195.59/32.56  | |           e1)
% 195.59/32.56  | | 
% 195.59/32.56  | | REF_CLOSE: (4), (16), (18), (20), (29), (30) are inconsistent by sub-proof
% 195.59/32.56  | |            #594.
% 195.59/32.56  | | 
% 195.59/32.56  | Case 2:
% 195.59/32.56  | | 
% 195.59/32.56  | |   (31)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 195.59/32.56  | |           e1)
% 195.59/32.56  | | 
% 195.59/32.56  | | BETA: splitting (31) gives:
% 195.59/32.56  | | 
% 195.59/32.56  | | Case 1:
% 195.59/32.56  | | | 
% 195.59/32.56  | | |   (32)  all_56_6 = e1 & op(e1, e3) = e1
% 195.59/32.56  | | | 
% 195.59/32.56  | | | ALPHA: (32) implies:
% 195.59/32.56  | | |   (33)  all_56_6 = e1
% 195.59/32.56  | | | 
% 195.59/32.56  | | | BETA: splitting (17) gives:
% 195.59/32.56  | | | 
% 195.59/32.56  | | | Case 1:
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | |   (34)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2)
% 195.59/32.56  | | | |           = e1)
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | BETA: splitting (34) gives:
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | Case 1:
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | |   (35)  all_56_2 = e1 & op(e2, e3) = e1
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | ALPHA: (35) implies:
% 195.59/32.56  | | | | |   (36)  all_56_2 = e1
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | COMBINE_EQS: (29), (36) imply:
% 195.59/32.56  | | | | |   (37)  e1 = e0
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | SIMP: (37) implies:
% 195.59/32.56  | | | | |   (38)  e1 = e0
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | COMBINE_EQS: (33), (38) imply:
% 195.59/32.56  | | | | |   (39)  all_56_6 = e0
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | REF_CLOSE: (3), (4), (8), (10), (12), (13), (18), (20), (23), (24),
% 195.59/32.56  | | | | |            (25), (26), (28), (39) are inconsistent by sub-proof #1527.
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | Case 2:
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | |   (40)  all_56_3 = e1 & op(e2, e2) = e1
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | ALPHA: (40) implies:
% 195.59/32.56  | | | | |   (41)  op(e2, e2) = e1
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | REF_CLOSE: (4), (18), (22), (41) are inconsistent by sub-proof #1909.
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | End of split
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | Case 2:
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | |   (42)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0)
% 195.59/32.56  | | | |           = e1)
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | BETA: splitting (42) gives:
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | Case 1:
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | |   (43)  all_56_5 = e1 & op(e2, e1) = e1
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | ALPHA: (43) implies:
% 195.59/32.56  | | | | |   (44)  all_56_5 = e1
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | REF_CLOSE: (3), (4), (5), (11), (14), (15), (19), (20), (21), (22),
% 195.59/32.56  | | | | |            (23), (26), (28), (29), (44) are inconsistent by sub-proof
% 195.59/32.56  | | | | |            #1703.
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | Case 2:
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | |   (45)  all_56_10 = e1 & op(e2, e0) = e1
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | ALPHA: (45) implies:
% 195.59/32.56  | | | | |   (46)  op(e2, e0) = e1
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | REF_CLOSE: (4), (7), (9), (46) are inconsistent by sub-proof #1650.
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | End of split
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | End of split
% 195.59/32.56  | | | 
% 195.59/32.56  | | Case 2:
% 195.59/32.56  | | | 
% 195.59/32.56  | | |   (47)  all_56_12 = e1 & op(e0, e3) = e1
% 195.59/32.56  | | | 
% 195.59/32.56  | | | ALPHA: (47) implies:
% 195.59/32.56  | | |   (48)  op(e0, e3) = e1
% 195.59/32.56  | | | 
% 195.59/32.56  | | | REF_CLOSE: (1), (4), (6), (48) are inconsistent by sub-proof #1950.
% 195.59/32.56  | | | 
% 195.59/32.56  | | End of split
% 195.59/32.56  | | 
% 195.59/32.56  | End of split
% 195.59/32.56  | 
% 195.59/32.56  End of proof
% 195.59/32.56  
% 195.59/32.56  Sub-proof #594 shows that the following formulas are inconsistent:
% 195.59/32.56  ----------------------------------------------------------------
% 195.59/32.56    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.56    (2)  op(e3, e3) = e2
% 195.59/32.56    (3)   ~ (e1 = e0)
% 195.59/32.56    (4)   ~ (e2 = e1)
% 195.59/32.56    (5)  all_56_2 = e0
% 195.59/32.56    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 195.59/32.56  
% 195.59/32.56  Begin of proof
% 195.59/32.56  | 
% 195.59/32.56  | BETA: splitting (6) gives:
% 195.59/32.56  | 
% 195.59/32.56  | Case 1:
% 195.59/32.56  | | 
% 195.59/32.56  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 195.59/32.56  | | 
% 195.59/32.56  | | ALPHA: (7) implies:
% 195.59/32.56  | |   (8)  op(e3, e3) = e1
% 195.59/32.56  | | 
% 195.59/32.56  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1934.
% 195.59/32.56  | | 
% 195.59/32.56  | Case 2:
% 195.59/32.56  | | 
% 195.59/32.56  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 195.59/32.56  | | 
% 195.59/32.56  | | ALPHA: (9) implies:
% 195.59/32.56  | |   (10)  all_56_2 = e1
% 195.59/32.56  | | 
% 195.59/32.56  | | REF_CLOSE: (3), (5), (10) are inconsistent by sub-proof #1713.
% 195.59/32.56  | | 
% 195.59/32.56  | End of split
% 195.59/32.56  | 
% 195.59/32.56  End of proof
% 195.59/32.56  
% 195.59/32.56  Sub-proof #595 shows that the following formulas are inconsistent:
% 195.59/32.56  ----------------------------------------------------------------
% 195.59/32.56    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.59/32.56           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.59/32.56           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.59/32.56                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.59/32.56               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.59/32.56               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.59/32.56           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.59/32.56           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.59/32.56               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.59/32.56           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.59/32.56               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.59/32.56           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.59/32.56           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.59/32.56               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.59/32.56               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.59/32.56               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.59/32.56         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.59/32.56           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.59/32.56           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.59/32.56               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.59/32.56             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.59/32.56         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.59/32.56           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.59/32.56           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.59/32.56                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.59/32.56               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.59/32.56               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.59/32.56           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.59/32.56           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.59/32.56             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.59/32.56           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.59/32.56               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.59/32.56           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.59/32.56           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.59/32.56               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.59/32.56               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.59/32.56               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.59/32.56         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.59/32.56           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.59/32.56           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.59/32.56               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.59/32.56             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.59/32.56         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.59/32.56           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.59/32.56           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.59/32.56                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.59/32.56               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.59/32.56               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.59/32.56           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.59/32.56             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.59/32.56               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.59/32.56           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.59/32.56               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.59/32.56           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.59/32.56           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.59/32.56               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.59/32.56               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.59/32.56               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.59/32.56         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.59/32.56           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.59/32.56           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.59/32.56               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.59/32.56             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.59/32.56         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.59/32.56             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.59/32.56           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.59/32.56               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.59/32.56             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.59/32.56         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.59/32.56             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.59/32.56           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.59/32.56               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.59/32.56             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.59/32.56         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.59/32.56             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.59/32.56           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.59/32.56               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.59/32.56             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.59/32.56         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.59/32.56             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.59/32.56           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.59/32.56               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.59/32.56             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.59/32.56    (2)  all_54_4 = all_52_1
% 195.59/32.56    (3)  op(e1, e2) = all_52_6
% 195.59/32.56    (4)  all_54_7 = all_52_13
% 195.59/32.56    (5)   ~ (all_52_14 = e0)
% 195.59/32.56    (6)   ~ (all_52_6 = e0)
% 195.59/32.56    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.59/32.56         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.59/32.56    (8)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 195.59/32.56    (9)  all_54_3 = all_52_12
% 195.59/32.56    (10)   ~ (all_52_11 = e1)
% 195.59/32.56    (11)  all_54_6 = all_52_9
% 195.59/32.56    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.59/32.56          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.59/32.56    (13)   ~ (all_52_1 = all_52_9)
% 195.59/32.56    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.59/32.56          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.59/32.56    (15)  op(e0, e0) = e1
% 195.59/32.56    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.59/32.56          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.59/32.56    (17)   ~ (all_52_2 = e0)
% 195.59/32.56    (18)  all_54_2 = all_52_8
% 195.59/32.56    (19)   ~ (all_52_13 = e2)
% 195.59/32.56    (20)   ~ (e3 = e2)
% 195.59/32.56    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.56            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.56    (22)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 195.59/32.56            all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e0,
% 195.59/32.56              e1) = all_14_1 & $i(all_14_1))
% 195.59/32.56    (23)  op(e3, e2) = all_52_4
% 195.59/32.56    (24)  op(e2, e2) = all_4_2
% 195.59/32.56    (25)   ~ (all_52_9 = e0)
% 195.59/32.56    (26)   ~ (all_52_12 = all_52_13)
% 195.59/32.56    (27)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.59/32.56          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.59/32.56    (28)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.59/32.56          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.59/32.56    (29)   ~ (all_52_4 = all_52_8)
% 195.59/32.56    (30)  all_56_11 = e2
% 195.59/32.56    (31)  ( ~ (all_22_0 = e2) & op(all_22_1, e1) = all_22_0 & op(e1, e0) =
% 195.59/32.56            all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~ (all_22_1 = e3) & op(e1,
% 195.59/32.56              e0) = all_22_1 & $i(all_22_1))
% 195.59/32.56    (32)  all_54_9 = all_52_6
% 195.59/32.56    (33)  op(e0, e1) = e2
% 195.59/32.56    (34)  all_56_14 = e2
% 195.59/32.56    (35)  op(e2, e0) = all_52_13
% 195.59/32.56    (36)  op(e1, e0) = all_52_14
% 195.59/32.56    (37)   ~ (all_52_12 = e2)
% 195.59/32.56    (38)  all_54_8 = all_52_2
% 195.59/32.56    (39)   ~ (all_52_8 = all_52_9)
% 195.59/32.56    (40)   ~ (all_52_4 = all_52_12)
% 195.59/32.56    (41)  op(e1, e0) = e2
% 195.59/32.56    (42)   ~ (all_52_13 = e1)
% 195.59/32.56    (43)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.59/32.56          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.59/32.56    (44)   ~ (all_52_2 = e2)
% 195.59/32.56    (45)   ~ (all_52_9 = e2)
% 195.59/32.56    (46)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.59/32.56    (47)   ~ (all_52_6 = e2)
% 195.59/32.56    (48)  op(e0, e1) = all_52_11
% 195.59/32.56    (49)  op(e1, e1) = e0
% 195.59/32.56    (50)   ~ (all_4_2 = e3)
% 195.59/32.56    (51)   ~ (all_52_8 = all_52_12)
% 195.59/32.56    (52)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.59/32.56    (53)   ~ (all_52_8 = e2)
% 195.59/32.56    (54)  op(e3, e3) = e2
% 195.59/32.56    (55)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.59/32.56    (56)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.59/32.56    (57)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.59/32.56          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.59/32.56    (58)   ~ (e1 = e0)
% 195.59/32.56    (59)   ~ (all_52_1 = all_52_13)
% 195.59/32.56    (60)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 195.59/32.56          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.59/32.56    (61)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.59/32.56    (62)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.59/32.56          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.59/32.56    (63)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.59/32.56          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.59/32.56    (64)   ~ (all_52_2 = all_52_6)
% 195.59/32.56    (65)   ~ (all_52_1 = e2)
% 195.59/32.56    (66)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.59/32.56              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.59/32.56                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.59/32.56                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.59/32.56    (67)   ~ (e2 = e1)
% 195.59/32.56    (68)   ~ (all_52_12 = e1)
% 195.59/32.56    (69)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 195.59/32.56            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 195.59/32.56              e1) = all_16_1 & $i(all_16_1))
% 195.59/32.56    (70)  op(e3, e0) = all_52_12
% 195.59/32.56    (71)  op(e2, e2) = e2
% 195.59/32.56    (72)  op(e2, e1) = all_52_9
% 195.59/32.56    (73)   ~ (all_52_1 = all_52_2)
% 195.59/32.56    (74)  op(e3, e1) = all_52_8
% 195.59/32.56    (75)   ~ (all_52_9 = all_52_13)
% 195.59/32.56    (76)   ~ (e3 = e1)
% 195.59/32.56    (77)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.59/32.56          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.59/32.56    (78)   ~ (e2 = e0)
% 195.59/32.56    (79)   ~ (all_52_8 = e0)
% 195.59/32.56    (80)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.59/32.56    (81)   ~ (e3 = e0)
% 195.59/32.56  
% 195.59/32.56  Begin of proof
% 195.59/32.56  | 
% 195.59/32.56  | BETA: splitting (69) gives:
% 195.59/32.56  | 
% 195.59/32.56  | Case 1:
% 195.59/32.56  | | 
% 195.59/32.56  | |   (82)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 195.59/32.56  | |         all_16_1 & $i(all_16_0) & $i(all_16_1)
% 195.59/32.56  | | 
% 195.59/32.56  | | ALPHA: (82) implies:
% 195.59/32.56  | |   (83)   ~ (all_16_0 = e3)
% 195.59/32.56  | |   (84)  op(e0, e1) = all_16_1
% 195.59/32.56  | |   (85)  op(all_16_1, e0) = all_16_0
% 195.59/32.56  | | 
% 195.59/32.56  | | BETA: splitting (22) gives:
% 195.59/32.56  | | 
% 195.59/32.56  | | Case 1:
% 195.59/32.56  | | | 
% 195.59/32.56  | | |   (86)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 195.59/32.56  | | |         all_14_1 & $i(all_14_0) & $i(all_14_1)
% 195.59/32.56  | | | 
% 195.59/32.56  | | | ALPHA: (86) implies:
% 195.59/32.56  | | |   (87)  op(e0, e1) = all_14_1
% 195.59/32.56  | | |   (88)  op(all_14_1, e0) = all_14_0
% 195.59/32.56  | | | 
% 195.59/32.56  | | | BETA: splitting (31) gives:
% 195.59/32.56  | | | 
% 195.59/32.56  | | | Case 1:
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | GROUND_INST: instantiating (21) with e2, all_16_1, e1, e0, simplifying
% 195.59/32.56  | | | |              with (33), (84) gives:
% 195.59/32.56  | | | |   (89)  all_16_1 = e2
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | GROUND_INST: instantiating (21) with all_14_1, all_16_1, e1, e0,
% 195.59/32.56  | | | |              simplifying with (84), (87) gives:
% 195.59/32.56  | | | |   (90)  all_16_1 = all_14_1
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | COMBINE_EQS: (89), (90) imply:
% 195.59/32.56  | | | |   (91)  all_14_1 = e2
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 195.59/32.56  | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 195.59/32.56  | | | |            (23), (24), (26), (27), (28), (29), (30), (32), (34), (35),
% 195.59/32.56  | | | |            (36), (37), (38), (39), (40), (42), (43), (44), (45), (46),
% 195.59/32.56  | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 195.59/32.56  | | | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66),
% 195.59/32.56  | | | |            (67), (68), (70), (71), (72), (73), (74), (75), (76), (77),
% 195.59/32.56  | | | |            (78), (79), (80), (81), (83), (85), (88), (89), (91) are
% 195.59/32.56  | | | |            inconsistent by sub-proof #599.
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | Case 2:
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | |   (92)   ~ (all_22_1 = e3) & op(e1, e0) = all_22_1 & $i(all_22_1)
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | ALPHA: (92) implies:
% 195.59/32.56  | | | |   (93)   ~ (all_22_1 = e3)
% 195.59/32.56  | | | |   (94)  op(e1, e0) = all_22_1
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | GROUND_INST: instantiating (21) with e2, all_16_1, e1, e0, simplifying
% 195.59/32.56  | | | |              with (33), (84) gives:
% 195.59/32.56  | | | |   (95)  all_16_1 = e2
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | GROUND_INST: instantiating (21) with all_14_1, all_16_1, e1, e0,
% 195.59/32.56  | | | |              simplifying with (84), (87) gives:
% 195.59/32.56  | | | |   (96)  all_16_1 = all_14_1
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | GROUND_INST: instantiating (21) with e2, all_22_1, e0, e1, simplifying
% 195.59/32.56  | | | |              with (41), (94) gives:
% 195.59/32.56  | | | |   (97)  all_22_1 = e2
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | COMBINE_EQS: (95), (96) imply:
% 195.59/32.56  | | | |   (98)  all_14_1 = e2
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | REDUCE: (93), (97) imply:
% 195.59/32.56  | | | |   (99)   ~ (e3 = e2)
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 195.59/32.56  | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 195.59/32.56  | | | |            (23), (24), (26), (27), (28), (29), (30), (32), (34), (35),
% 195.59/32.56  | | | |            (36), (37), (38), (39), (40), (42), (43), (44), (45), (46),
% 195.59/32.56  | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 195.59/32.56  | | | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66),
% 195.59/32.56  | | | |            (67), (68), (70), (71), (72), (73), (74), (75), (76), (77),
% 195.59/32.56  | | | |            (78), (79), (80), (81), (83), (85), (88), (95), (98) are
% 195.59/32.56  | | | |            inconsistent by sub-proof #599.
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | End of split
% 195.59/32.56  | | | 
% 195.59/32.56  | | Case 2:
% 195.59/32.56  | | | 
% 195.59/32.56  | | |   (100)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 & $i(all_14_1)
% 195.59/32.56  | | | 
% 195.59/32.56  | | | ALPHA: (100) implies:
% 195.59/32.56  | | |   (101)   ~ (all_14_1 = e3)
% 195.59/32.56  | | |   (102)  op(e0, e1) = all_14_1
% 195.59/32.56  | | | 
% 195.59/32.56  | | | GROUND_INST: instantiating (21) with e2, all_16_1, e1, e0, simplifying
% 195.59/32.56  | | |              with (33), (84) gives:
% 195.59/32.56  | | |   (103)  all_16_1 = e2
% 195.59/32.56  | | | 
% 195.59/32.56  | | | GROUND_INST: instantiating (21) with all_14_1, all_16_1, e1, e0,
% 195.59/32.56  | | |              simplifying with (84), (102) gives:
% 195.59/32.56  | | |   (104)  all_16_1 = all_14_1
% 195.59/32.56  | | | 
% 195.59/32.56  | | | COMBINE_EQS: (103), (104) imply:
% 195.59/32.56  | | |   (105)  all_14_1 = e2
% 195.59/32.56  | | | 
% 195.59/32.56  | | | REDUCE: (101), (105) imply:
% 195.59/32.56  | | |   (106)   ~ (e3 = e2)
% 195.59/32.56  | | | 
% 195.59/32.56  | | | REDUCE: (85), (103) imply:
% 195.59/32.56  | | |   (107)  op(e2, e0) = all_16_0
% 195.59/32.56  | | | 
% 195.59/32.56  | | | GROUND_INST: instantiating (21) with all_52_13, all_16_0, e0, e2,
% 195.59/32.56  | | |              simplifying with (35), (107) gives:
% 195.59/32.56  | | |   (108)  all_52_13 = all_16_0
% 195.59/32.56  | | | 
% 195.59/32.56  | | | COMBINE_EQS: (4), (108) imply:
% 195.59/32.56  | | |   (109)  all_54_7 = all_16_0
% 195.59/32.56  | | | 
% 195.59/32.56  | | | REDUCE: (59), (108) imply:
% 195.59/32.56  | | |   (110)   ~ (all_52_1 = all_16_0)
% 195.59/32.56  | | | 
% 195.59/32.56  | | | REDUCE: (26), (108) imply:
% 195.59/32.56  | | |   (111)   ~ (all_52_12 = all_16_0)
% 195.59/32.56  | | | 
% 195.59/32.56  | | | REDUCE: (19), (108) imply:
% 195.59/32.56  | | |   (112)   ~ (all_16_0 = e2)
% 195.59/32.56  | | | 
% 195.59/32.56  | | | REDUCE: (42), (108) imply:
% 195.59/32.56  | | |   (113)   ~ (all_16_0 = e1)
% 195.59/32.56  | | | 
% 195.59/32.56  | | | BETA: splitting (55) gives:
% 195.59/32.56  | | | 
% 195.59/32.56  | | | Case 1:
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | |   (114)  all_54_7 = e3
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | COMBINE_EQS: (109), (114) imply:
% 195.59/32.56  | | | |   (115)  all_16_0 = e3
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | SIMP: (115) implies:
% 195.59/32.56  | | | |   (116)  all_16_0 = e3
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | REDUCE: (83), (116) imply:
% 195.59/32.56  | | | |   (117)  $false
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | CLOSE: (117) is inconsistent.
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | Case 2:
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | |   (118)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | BETA: splitting (118) gives:
% 195.59/32.56  | | | | 
% 195.59/32.56  | | | | Case 1:
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | |   (119)  all_54_7 = e2
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | REF_CLOSE: (109), (112), (119) are inconsistent by sub-proof #598.
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | Case 2:
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | |   (120)   ~ (all_54_7 = e2)
% 195.59/32.56  | | | | |   (121)  all_54_7 = e1 | all_54_7 = e0
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | BETA: splitting (60) gives:
% 195.59/32.56  | | | | | 
% 195.59/32.56  | | | | | Case 1:
% 195.59/32.56  | | | | | | 
% 195.59/32.56  | | | | | |   (122)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 195.59/32.56  | | | | | |            op(e2, e0) = e3)
% 195.59/32.56  | | | | | | 
% 195.59/32.56  | | | | | | BETA: splitting (122) gives:
% 195.59/32.56  | | | | | | 
% 195.59/32.56  | | | | | | Case 1:
% 195.59/32.56  | | | | | | | 
% 195.59/32.56  | | | | | | |   (123)  all_56_9 = e3 & op(e3, e0) = e3
% 195.59/32.56  | | | | | | | 
% 195.59/32.56  | | | | | | | ALPHA: (123) implies:
% 195.59/32.56  | | | | | | |   (124)  op(e3, e0) = e3
% 195.59/32.56  | | | | | | | 
% 195.59/32.56  | | | | | | | BETA: splitting (121) gives:
% 195.59/32.56  | | | | | | | 
% 195.59/32.56  | | | | | | | Case 1:
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | |   (125)  all_54_7 = e1
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | | REF_CLOSE: (109), (113), (125) are inconsistent by sub-proof
% 195.59/32.56  | | | | | | | |            #597.
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | Case 2:
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | |   (126)  all_54_7 = e0
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | | COMBINE_EQS: (109), (126) imply:
% 195.59/32.56  | | | | | | | |   (127)  all_16_0 = e0
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | | SIMP: (127) implies:
% 195.59/32.56  | | | | | | | |   (128)  all_16_0 = e0
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | | REDUCE: (110), (128) imply:
% 195.59/32.56  | | | | | | | |   (129)   ~ (all_52_1 = e0)
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | | REDUCE: (111), (128) imply:
% 195.59/32.56  | | | | | | | |   (130)   ~ (all_52_12 = e0)
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | | REDUCE: (112), (128) imply:
% 195.59/32.56  | | | | | | | |   (131)   ~ (e2 = e0)
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11),
% 195.59/32.56  | | | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (21),
% 195.59/32.56  | | | | | | | |            (23), (24), (25), (27), (28), (29), (30), (32), (34),
% 195.59/32.56  | | | | | | | |            (35), (36), (37), (38), (39), (40), (42), (43), (44),
% 195.59/32.56  | | | | | | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 195.59/32.56  | | | | | | | |            (54), (56), (57), (61), (62), (63), (64), (65), (67),
% 195.59/32.56  | | | | | | | |            (68), (70), (71), (72), (73), (74), (77), (78), (79),
% 195.59/32.56  | | | | | | | |            (80), (124), (129), (130) are inconsistent by
% 195.59/32.56  | | | | | | | |            sub-proof #602.
% 195.59/32.56  | | | | | | | | 
% 195.59/32.56  | | | | | | | End of split
% 195.59/32.56  | | | | | | | 
% 195.59/32.56  | | | | | | Case 2:
% 195.59/32.56  | | | | | | | 
% 195.59/32.56  | | | | | | |   (132)  all_56_10 = e3 & op(e2, e0) = e3
% 195.59/32.56  | | | | | | | 
% 195.59/32.56  | | | | | | | ALPHA: (132) implies:
% 195.59/32.56  | | | | | | |   (133)  all_56_10 = e3
% 195.59/32.56  | | | | | | | 
% 195.59/32.56  | | | | | | | REF_CLOSE: (15), (21), (30), (58), (66), (70), (78), (81), (109),
% 195.59/32.56  | | | | | | |            (111), (113), (121), (133) are inconsistent by
% 195.59/32.56  | | | | | | |            sub-proof #596.
% 195.59/32.56  | | | | | | | 
% 195.59/32.56  | | | | | | End of split
% 195.59/32.56  | | | | | | 
% 195.59/32.56  | | | | | Case 2:
% 195.59/32.56  | | | | | | 
% 195.59/32.57  | | | | | |   (134)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 195.59/32.57  | | | | | |            op(e0, e0) = e3)
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | | REF_CLOSE: (15), (20), (21), (30), (76), (134) are inconsistent by
% 195.59/32.57  | | | | | |            sub-proof #600.
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | End of split
% 195.59/32.57  | | | | | 
% 195.59/32.57  | | | | End of split
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | End of split
% 195.59/32.57  | | | 
% 195.59/32.57  | | End of split
% 195.59/32.57  | | 
% 195.59/32.57  | Case 2:
% 195.59/32.57  | | 
% 195.59/32.57  | |   (135)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 & $i(all_16_1)
% 195.59/32.57  | | 
% 195.59/32.57  | | ALPHA: (135) implies:
% 195.59/32.57  | |   (136)   ~ (all_16_1 = e2)
% 195.59/32.57  | |   (137)  op(e0, e1) = all_16_1
% 195.59/32.57  | | 
% 195.59/32.57  | | REF_CLOSE: (21), (22), (33), (136), (137) are inconsistent by sub-proof
% 195.59/32.57  | |            #612.
% 195.59/32.57  | | 
% 195.59/32.57  | End of split
% 195.59/32.57  | 
% 195.59/32.57  End of proof
% 195.59/32.57  
% 195.59/32.57  Sub-proof #596 shows that the following formulas are inconsistent:
% 195.59/32.57  ----------------------------------------------------------------
% 195.59/32.57    (1)  op(e0, e0) = e1
% 195.59/32.57    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.57    (3)  all_56_11 = e2
% 195.59/32.57    (4)  all_56_10 = e3
% 195.59/32.57    (5)   ~ (e1 = e0)
% 195.59/32.57    (6)   ~ (all_16_0 = e1)
% 195.59/32.57    (7)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.59/32.57             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 195.59/32.57               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.59/32.57               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.59/32.57    (8)  all_54_7 = all_16_0
% 195.59/32.57    (9)  op(e3, e0) = all_52_12
% 195.59/32.57    (10)  all_54_7 = e1 | all_54_7 = e0
% 195.59/32.57    (11)   ~ (e2 = e0)
% 195.59/32.57    (12)   ~ (all_52_12 = all_16_0)
% 195.59/32.57    (13)   ~ (e3 = e0)
% 195.59/32.57  
% 195.59/32.57  Begin of proof
% 195.59/32.57  | 
% 195.59/32.57  | BETA: splitting (7) gives:
% 195.59/32.57  | 
% 195.59/32.57  | Case 1:
% 195.59/32.57  | | 
% 195.59/32.57  | |   (14)  all_56_15 = e0 & op(e0, e0) = e0
% 195.59/32.57  | | 
% 195.59/32.57  | | ALPHA: (14) implies:
% 195.59/32.57  | |   (15)  op(e0, e0) = e0
% 195.59/32.57  | | 
% 195.59/32.57  | | REF_CLOSE: (1), (2), (5), (15) are inconsistent by sub-proof #1943.
% 195.59/32.57  | | 
% 195.59/32.57  | Case 2:
% 195.59/32.57  | | 
% 195.59/32.57  | |   (16)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 195.59/32.57  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 195.59/32.57  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 195.59/32.57  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 195.59/32.57  | | 
% 195.59/32.57  | | ALPHA: (16) implies:
% 195.59/32.57  | |   (17)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 195.59/32.57  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.59/32.57  | | 
% 195.59/32.57  | | BETA: splitting (17) gives:
% 195.59/32.57  | | 
% 195.59/32.57  | | Case 1:
% 195.59/32.57  | | | 
% 195.59/32.57  | | |   (18)  all_56_9 = e0 & op(e3, e0) = e0
% 195.59/32.57  | | | 
% 195.59/32.57  | | | ALPHA: (18) implies:
% 195.59/32.57  | | |   (19)  op(e3, e0) = e0
% 195.59/32.57  | | | 
% 195.59/32.57  | | | BETA: splitting (10) gives:
% 195.59/32.57  | | | 
% 195.59/32.57  | | | Case 1:
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | |   (20)  all_54_7 = e1
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | REF_CLOSE: (6), (8), (20) are inconsistent by sub-proof #597.
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | Case 2:
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | |   (21)  all_54_7 = e0
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | COMBINE_EQS: (8), (21) imply:
% 195.59/32.57  | | | |   (22)  all_16_0 = e0
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | SIMP: (22) implies:
% 195.59/32.57  | | | |   (23)  all_16_0 = e0
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | REDUCE: (12), (23) imply:
% 195.59/32.57  | | | |   (24)   ~ (all_52_12 = e0)
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | REF_CLOSE: (2), (9), (19), (24) are inconsistent by sub-proof #1799.
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | End of split
% 195.59/32.57  | | | 
% 195.59/32.57  | | Case 2:
% 195.59/32.57  | | | 
% 195.59/32.57  | | |   (25)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.59/32.57  | | |           = e0)
% 195.59/32.57  | | | 
% 195.59/32.57  | | | BETA: splitting (25) gives:
% 195.59/32.57  | | | 
% 195.59/32.57  | | | Case 1:
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | |   (26)  all_56_10 = e0 & op(e2, e0) = e0
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | REF_CLOSE: (4), (13), (26) are inconsistent by sub-proof #1548.
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | Case 2:
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | |   (27)  all_56_11 = e0 & op(e1, e0) = e0
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | REF_CLOSE: (3), (11), (27) are inconsistent by sub-proof #1774.
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | End of split
% 195.59/32.57  | | | 
% 195.59/32.57  | | End of split
% 195.59/32.57  | | 
% 195.59/32.57  | End of split
% 195.59/32.57  | 
% 195.59/32.57  End of proof
% 195.59/32.57  
% 195.59/32.57  Sub-proof #597 shows that the following formulas are inconsistent:
% 195.59/32.57  ----------------------------------------------------------------
% 195.59/32.57    (1)  all_54_7 = all_16_0
% 195.59/32.57    (2)  all_54_7 = e1
% 195.59/32.57    (3)   ~ (all_16_0 = e1)
% 195.59/32.57  
% 195.59/32.57  Begin of proof
% 195.59/32.57  | 
% 195.59/32.57  | COMBINE_EQS: (1), (2) imply:
% 195.59/32.57  |   (4)  all_16_0 = e1
% 195.59/32.57  | 
% 195.59/32.57  | SIMP: (4) implies:
% 195.59/32.57  |   (5)  all_16_0 = e1
% 195.59/32.57  | 
% 195.59/32.57  | REDUCE: (3), (5) imply:
% 195.59/32.57  |   (6)  $false
% 195.59/32.57  | 
% 195.59/32.57  | CLOSE: (6) is inconsistent.
% 195.59/32.57  | 
% 195.59/32.57  End of proof
% 195.59/32.57  
% 195.59/32.57  Sub-proof #598 shows that the following formulas are inconsistent:
% 195.59/32.57  ----------------------------------------------------------------
% 195.59/32.57    (1)  all_54_7 = all_16_0
% 195.59/32.57    (2)  all_54_7 = e2
% 195.59/32.57    (3)   ~ (all_16_0 = e2)
% 195.59/32.57  
% 195.59/32.57  Begin of proof
% 195.59/32.57  | 
% 195.59/32.57  | COMBINE_EQS: (1), (2) imply:
% 195.59/32.57  |   (4)  all_16_0 = e2
% 195.59/32.57  | 
% 195.59/32.57  | SIMP: (4) implies:
% 195.59/32.57  |   (5)  all_16_0 = e2
% 195.59/32.57  | 
% 195.59/32.57  | REDUCE: (3), (5) imply:
% 195.59/32.57  |   (6)  $false
% 195.59/32.57  | 
% 195.59/32.57  | CLOSE: (6) is inconsistent.
% 195.59/32.57  | 
% 195.59/32.57  End of proof
% 195.59/32.57  
% 195.59/32.57  Sub-proof #599 shows that the following formulas are inconsistent:
% 195.59/32.57  ----------------------------------------------------------------
% 195.59/32.57    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.59/32.57           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.59/32.57           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.59/32.57                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.59/32.57               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.59/32.57               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.59/32.57           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.59/32.57           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.59/32.57               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.59/32.57           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.59/32.57               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.59/32.57           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.59/32.57           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.59/32.57               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.59/32.57               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.59/32.57               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.59/32.57         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.59/32.57           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.59/32.57           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.59/32.57               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.59/32.57             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.59/32.57         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.59/32.57           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.59/32.57           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.59/32.57                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.59/32.57               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.59/32.57               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.59/32.57           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.59/32.57           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.59/32.57             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.59/32.57           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.59/32.57               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.59/32.57           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.59/32.57           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.59/32.57               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.59/32.57               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.59/32.57               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.59/32.57         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.59/32.57           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.59/32.57           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.59/32.57               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.59/32.57             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.59/32.57         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.59/32.57           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.59/32.57           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.59/32.57                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.59/32.57               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.59/32.57               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.59/32.57           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.59/32.57             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.59/32.57               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.59/32.57           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.59/32.57               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.59/32.57           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.59/32.57           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.59/32.57               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.59/32.57               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.59/32.57               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.59/32.57         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.59/32.57           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.59/32.57           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.59/32.57               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.59/32.57             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.59/32.57         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.59/32.57             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.59/32.57           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.59/32.57               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.59/32.57             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.59/32.57         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.59/32.57             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.59/32.57           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.59/32.57               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.59/32.57             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.59/32.57         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.59/32.57             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.59/32.57           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.59/32.57               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.59/32.57             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.59/32.57         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.59/32.57             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.59/32.57           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.59/32.57               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.59/32.57             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.59/32.57    (2)  all_54_4 = all_52_1
% 195.59/32.57    (3)  op(e1, e2) = all_52_6
% 195.59/32.57    (4)  all_54_7 = all_52_13
% 195.59/32.57    (5)   ~ (all_52_14 = e0)
% 195.59/32.57    (6)   ~ (all_52_6 = e0)
% 195.59/32.57    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.59/32.57         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.59/32.57    (8)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 195.59/32.57    (9)  all_54_3 = all_52_12
% 195.59/32.57    (10)   ~ (all_52_11 = e1)
% 195.59/32.57    (11)  all_54_6 = all_52_9
% 195.59/32.57    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.59/32.57          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.59/32.57    (13)   ~ (all_52_1 = all_52_9)
% 195.59/32.57    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.59/32.57          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.59/32.57    (15)  op(e0, e0) = e1
% 195.59/32.57    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.59/32.57          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.59/32.57    (17)   ~ (all_52_2 = e0)
% 195.59/32.57    (18)  all_54_2 = all_52_8
% 195.59/32.57    (19)   ~ (all_52_13 = e2)
% 195.59/32.57    (20)   ~ (e3 = e2)
% 195.59/32.57    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.57            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.57    (22)  op(e3, e2) = all_52_4
% 195.59/32.57    (23)  op(e2, e2) = all_4_2
% 195.59/32.57    (24)  op(all_16_1, e0) = all_16_0
% 195.59/32.57    (25)   ~ (all_52_12 = all_52_13)
% 195.59/32.57    (26)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.59/32.57          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.59/32.57    (27)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.59/32.57          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.59/32.57    (28)   ~ (all_52_4 = all_52_8)
% 195.59/32.57    (29)  all_56_11 = e2
% 195.59/32.57    (30)  all_54_9 = all_52_6
% 195.59/32.57    (31)  all_56_14 = e2
% 195.59/32.57    (32)  op(e2, e0) = all_52_13
% 195.59/32.57    (33)  op(e1, e0) = all_52_14
% 195.59/32.57    (34)   ~ (all_52_12 = e2)
% 195.59/32.57    (35)  all_54_8 = all_52_2
% 195.59/32.57    (36)   ~ (all_52_8 = all_52_9)
% 195.59/32.57    (37)   ~ (all_52_4 = all_52_12)
% 195.59/32.57    (38)  all_16_1 = e2
% 195.59/32.57    (39)   ~ (all_52_13 = e1)
% 195.59/32.57    (40)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.59/32.57          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.59/32.57    (41)   ~ (all_52_2 = e2)
% 195.59/32.57    (42)   ~ (all_52_9 = e2)
% 195.59/32.57    (43)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.59/32.57    (44)  all_14_1 = e2
% 195.59/32.57    (45)   ~ (all_52_6 = e2)
% 195.59/32.57    (46)  op(e0, e1) = all_52_11
% 195.59/32.57    (47)   ~ (all_16_0 = e3)
% 195.59/32.57    (48)  op(e1, e1) = e0
% 195.59/32.57    (49)   ~ (all_4_2 = e3)
% 195.59/32.57    (50)   ~ (all_52_8 = all_52_12)
% 195.59/32.57    (51)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.59/32.57    (52)   ~ (all_52_8 = e2)
% 195.59/32.57    (53)  op(e3, e3) = e2
% 195.59/32.57    (54)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.59/32.57    (55)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.59/32.57    (56)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.59/32.57          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.59/32.57    (57)   ~ (e1 = e0)
% 195.59/32.57    (58)   ~ (all_52_1 = all_52_13)
% 195.59/32.57    (59)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 195.59/32.57          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.59/32.57    (60)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.59/32.57    (61)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.59/32.57          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.59/32.57    (62)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.59/32.57          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.59/32.57    (63)   ~ (all_52_2 = all_52_6)
% 195.59/32.57    (64)   ~ (all_52_1 = e2)
% 195.59/32.57    (65)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.59/32.57              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.59/32.57                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.59/32.57                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.59/32.57    (66)   ~ (e2 = e1)
% 195.59/32.57    (67)   ~ (all_52_12 = e1)
% 195.59/32.57    (68)  op(all_14_1, e0) = all_14_0
% 195.59/32.57    (69)  op(e3, e0) = all_52_12
% 195.59/32.57    (70)  op(e2, e2) = e2
% 195.59/32.57    (71)  op(e2, e1) = all_52_9
% 195.59/32.57    (72)   ~ (all_52_1 = all_52_2)
% 195.59/32.57    (73)  op(e3, e1) = all_52_8
% 195.59/32.57    (74)   ~ (all_52_9 = all_52_13)
% 195.59/32.57    (75)   ~ (e3 = e1)
% 195.59/32.57    (76)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.59/32.57          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.59/32.57    (77)   ~ (e2 = e0)
% 195.59/32.57    (78)   ~ (all_52_8 = e0)
% 195.59/32.57    (79)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.59/32.57    (80)   ~ (e3 = e0)
% 195.59/32.57  
% 195.59/32.57  Begin of proof
% 195.59/32.57  | 
% 195.59/32.57  | REDUCE: (24), (38) imply:
% 195.59/32.57  |   (81)  op(e2, e0) = all_16_0
% 195.59/32.57  | 
% 195.59/32.57  | REDUCE: (44), (68) imply:
% 195.59/32.57  |   (82)  op(e2, e0) = all_14_0
% 195.59/32.57  | 
% 195.59/32.57  | GROUND_INST: instantiating (21) with all_52_13, all_14_0, e0, e2, simplifying
% 195.59/32.57  |              with (32), (82) gives:
% 195.59/32.57  |   (83)  all_52_13 = all_14_0
% 195.59/32.57  | 
% 195.59/32.57  | GROUND_INST: instantiating (21) with all_52_13, all_16_0, e0, e2, simplifying
% 195.59/32.57  |              with (32), (81) gives:
% 195.59/32.57  |   (84)  all_52_13 = all_16_0
% 195.59/32.57  | 
% 195.59/32.57  | COMBINE_EQS: (83), (84) imply:
% 195.59/32.57  |   (85)  all_16_0 = all_14_0
% 195.59/32.57  | 
% 195.59/32.57  | SIMP: (85) implies:
% 195.59/32.57  |   (86)  all_16_0 = all_14_0
% 195.59/32.57  | 
% 195.59/32.57  | COMBINE_EQS: (4), (83) imply:
% 195.59/32.57  |   (87)  all_54_7 = all_14_0
% 195.59/32.57  | 
% 195.59/32.57  | REDUCE: (58), (83) imply:
% 195.59/32.57  |   (88)   ~ (all_52_1 = all_14_0)
% 195.59/32.57  | 
% 195.59/32.57  | REDUCE: (74), (83) imply:
% 195.59/32.57  |   (89)   ~ (all_52_9 = all_14_0)
% 195.59/32.57  | 
% 195.59/32.57  | REDUCE: (25), (83) imply:
% 195.59/32.57  |   (90)   ~ (all_52_12 = all_14_0)
% 195.59/32.57  | 
% 195.59/32.57  | REDUCE: (19), (83) imply:
% 195.59/32.57  |   (91)   ~ (all_14_0 = e2)
% 195.59/32.57  | 
% 195.59/32.57  | REDUCE: (39), (83) imply:
% 195.59/32.57  |   (92)   ~ (all_14_0 = e1)
% 195.59/32.57  | 
% 195.59/32.57  | REDUCE: (47), (86) imply:
% 195.59/32.57  |   (93)   ~ (all_14_0 = e3)
% 195.59/32.57  | 
% 195.59/32.57  | BETA: splitting (54) gives:
% 195.59/32.57  | 
% 195.59/32.57  | Case 1:
% 195.59/32.57  | | 
% 195.59/32.57  | |   (94)  all_54_7 = e3
% 195.59/32.57  | | 
% 195.59/32.57  | | COMBINE_EQS: (87), (94) imply:
% 195.59/32.57  | |   (95)  all_14_0 = e3
% 195.59/32.57  | | 
% 195.59/32.57  | | SIMP: (95) implies:
% 195.59/32.57  | |   (96)  all_14_0 = e3
% 195.59/32.57  | | 
% 195.59/32.57  | | REDUCE: (93), (96) imply:
% 195.59/32.57  | |   (97)  $false
% 195.59/32.57  | | 
% 195.59/32.57  | | CLOSE: (97) is inconsistent.
% 195.59/32.57  | | 
% 195.59/32.57  | Case 2:
% 195.59/32.57  | | 
% 195.59/32.57  | |   (98)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.59/32.57  | | 
% 195.59/32.57  | | BETA: splitting (98) gives:
% 195.59/32.57  | | 
% 195.59/32.57  | | Case 1:
% 195.59/32.57  | | | 
% 195.59/32.57  | | |   (99)  all_54_7 = e2
% 195.59/32.57  | | | 
% 195.59/32.57  | | | REF_CLOSE: (87), (91), (99) are inconsistent by sub-proof #605.
% 195.59/32.57  | | | 
% 195.59/32.57  | | Case 2:
% 195.59/32.57  | | | 
% 195.59/32.57  | | |   (100)   ~ (all_54_7 = e2)
% 195.59/32.57  | | |   (101)  all_54_7 = e1 | all_54_7 = e0
% 195.59/32.57  | | | 
% 195.59/32.57  | | | BETA: splitting (59) gives:
% 195.59/32.57  | | | 
% 195.59/32.57  | | | Case 1:
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | |   (102)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2,
% 195.59/32.57  | | | |              e0) = e3)
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | BETA: splitting (102) gives:
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | Case 1:
% 195.59/32.57  | | | | | 
% 195.59/32.57  | | | | |   (103)  all_56_9 = e3 & op(e3, e0) = e3
% 195.59/32.57  | | | | | 
% 195.59/32.57  | | | | | ALPHA: (103) implies:
% 195.59/32.57  | | | | |   (104)  op(e3, e0) = e3
% 195.59/32.57  | | | | | 
% 195.59/32.57  | | | | | BETA: splitting (101) gives:
% 195.59/32.57  | | | | | 
% 195.59/32.57  | | | | | Case 1:
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | |   (105)  all_54_7 = e1
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | | REF_CLOSE: (87), (92), (105) are inconsistent by sub-proof #616.
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | Case 2:
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | |   (106)  all_54_7 = e0
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | | COMBINE_EQS: (87), (106) imply:
% 195.59/32.57  | | | | | |   (107)  all_14_0 = e0
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | | SIMP: (107) implies:
% 195.59/32.57  | | | | | |   (108)  all_14_0 = e0
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | | REDUCE: (88), (108) imply:
% 195.59/32.57  | | | | | |   (109)   ~ (all_52_1 = e0)
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | | REDUCE: (89), (108) imply:
% 195.59/32.57  | | | | | |   (110)   ~ (all_52_9 = e0)
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | | REDUCE: (90), (108) imply:
% 195.59/32.57  | | | | | |   (111)   ~ (all_52_12 = e0)
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | | REDUCE: (91), (108) imply:
% 195.59/32.57  | | | | | |   (112)   ~ (e2 = e0)
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12),
% 195.59/32.57  | | | | | |            (13), (14), (15), (16), (17), (18), (19), (21), (22),
% 195.59/32.57  | | | | | |            (23), (26), (27), (28), (29), (30), (31), (32), (33),
% 195.59/32.57  | | | | | |            (34), (35), (36), (37), (39), (40), (41), (42), (43),
% 195.59/32.57  | | | | | |            (45), (46), (48), (49), (50), (51), (52), (53), (55),
% 195.59/32.57  | | | | | |            (56), (60), (61), (62), (63), (64), (66), (67), (69),
% 195.59/32.57  | | | | | |            (70), (71), (72), (73), (76), (77), (78), (79), (104),
% 195.59/32.57  | | | | | |            (109), (110), (111) are inconsistent by sub-proof #602.
% 195.59/32.57  | | | | | | 
% 195.59/32.57  | | | | | End of split
% 195.59/32.57  | | | | | 
% 195.59/32.57  | | | | Case 2:
% 195.59/32.57  | | | | | 
% 195.59/32.57  | | | | |   (113)  all_56_10 = e3 & op(e2, e0) = e3
% 195.59/32.57  | | | | | 
% 195.59/32.57  | | | | | ALPHA: (113) implies:
% 195.59/32.57  | | | | |   (114)  all_56_10 = e3
% 195.59/32.57  | | | | | 
% 195.59/32.57  | | | | | REF_CLOSE: (15), (21), (29), (57), (65), (69), (77), (80), (87), (90),
% 195.59/32.57  | | | | |            (92), (101), (114) are inconsistent by sub-proof #601.
% 195.59/32.57  | | | | | 
% 195.59/32.57  | | | | End of split
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | Case 2:
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | |   (115)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 195.59/32.57  | | | |              e0) = e3)
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | REF_CLOSE: (15), (20), (21), (29), (75), (115) are inconsistent by
% 195.59/32.57  | | | |            sub-proof #600.
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | End of split
% 195.59/32.57  | | | 
% 195.59/32.57  | | End of split
% 195.59/32.57  | | 
% 195.59/32.57  | End of split
% 195.59/32.57  | 
% 195.59/32.57  End of proof
% 195.59/32.57  
% 195.59/32.57  Sub-proof #600 shows that the following formulas are inconsistent:
% 195.59/32.57  ----------------------------------------------------------------
% 195.59/32.57    (1)  op(e0, e0) = e1
% 195.59/32.57    (2)   ~ (e3 = e2)
% 195.59/32.57    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.57    (4)  all_56_11 = e2
% 195.59/32.57    (5)   ~ (e3 = e1)
% 195.59/32.57    (6)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.59/32.57  
% 195.59/32.57  Begin of proof
% 195.59/32.57  | 
% 195.59/32.57  | BETA: splitting (6) gives:
% 195.59/32.57  | 
% 195.59/32.57  | Case 1:
% 195.59/32.57  | | 
% 195.59/32.57  | |   (7)  all_56_11 = e3 & op(e1, e0) = e3
% 195.59/32.57  | | 
% 195.59/32.57  | | ALPHA: (7) implies:
% 195.59/32.57  | |   (8)  all_56_11 = e3
% 195.59/32.57  | | 
% 195.59/32.57  | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #1619.
% 195.59/32.57  | | 
% 195.59/32.57  | Case 2:
% 195.59/32.57  | | 
% 195.59/32.57  | |   (9)  all_56_15 = e3 & op(e0, e0) = e3
% 195.59/32.57  | | 
% 195.59/32.57  | | ALPHA: (9) implies:
% 195.59/32.57  | |   (10)  op(e0, e0) = e3
% 195.59/32.57  | | 
% 195.59/32.57  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1392.
% 195.59/32.57  | | 
% 195.59/32.57  | End of split
% 195.59/32.57  | 
% 195.59/32.57  End of proof
% 195.59/32.57  
% 195.59/32.57  Sub-proof #601 shows that the following formulas are inconsistent:
% 195.59/32.57  ----------------------------------------------------------------
% 195.59/32.57    (1)  op(e0, e0) = e1
% 195.59/32.57    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.57    (3)  all_56_11 = e2
% 195.59/32.57    (4)  all_54_7 = all_14_0
% 195.59/32.57    (5)  all_56_10 = e3
% 195.59/32.57    (6)   ~ (all_52_12 = all_14_0)
% 195.59/32.57    (7)   ~ (all_14_0 = e1)
% 195.59/32.57    (8)   ~ (e1 = e0)
% 195.59/32.57    (9)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.59/32.57             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 195.59/32.57               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.59/32.57               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.59/32.57    (10)  op(e3, e0) = all_52_12
% 195.59/32.57    (11)  all_54_7 = e1 | all_54_7 = e0
% 195.59/32.57    (12)   ~ (e2 = e0)
% 195.59/32.57    (13)   ~ (e3 = e0)
% 195.59/32.57  
% 195.59/32.57  Begin of proof
% 195.59/32.57  | 
% 195.59/32.57  | BETA: splitting (9) gives:
% 195.59/32.57  | 
% 195.59/32.57  | Case 1:
% 195.59/32.57  | | 
% 195.59/32.57  | |   (14)  all_56_15 = e0 & op(e0, e0) = e0
% 195.59/32.57  | | 
% 195.59/32.57  | | ALPHA: (14) implies:
% 195.59/32.57  | |   (15)  op(e0, e0) = e0
% 195.59/32.57  | | 
% 195.59/32.57  | | REF_CLOSE: (1), (2), (8), (15) are inconsistent by sub-proof #1943.
% 195.59/32.57  | | 
% 195.59/32.57  | Case 2:
% 195.59/32.57  | | 
% 195.59/32.57  | |   (16)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 195.59/32.57  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 195.59/32.57  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 195.59/32.57  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 195.59/32.57  | | 
% 195.59/32.57  | | ALPHA: (16) implies:
% 195.59/32.57  | |   (17)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 195.59/32.57  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.59/32.57  | | 
% 195.59/32.57  | | BETA: splitting (17) gives:
% 195.59/32.57  | | 
% 195.59/32.57  | | Case 1:
% 195.59/32.57  | | | 
% 195.59/32.57  | | |   (18)  all_56_9 = e0 & op(e3, e0) = e0
% 195.59/32.57  | | | 
% 195.59/32.57  | | | REF_CLOSE: (2), (4), (6), (7), (10), (11), (18) are inconsistent by
% 195.59/32.57  | | |            sub-proof #615.
% 195.59/32.57  | | | 
% 195.59/32.57  | | Case 2:
% 195.59/32.57  | | | 
% 195.59/32.57  | | |   (19)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.59/32.57  | | |           = e0)
% 195.59/32.57  | | | 
% 195.59/32.57  | | | BETA: splitting (19) gives:
% 195.59/32.57  | | | 
% 195.59/32.57  | | | Case 1:
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | |   (20)  all_56_10 = e0 & op(e2, e0) = e0
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | REF_CLOSE: (5), (13), (20) are inconsistent by sub-proof #1548.
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | Case 2:
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | |   (21)  all_56_11 = e0 & op(e1, e0) = e0
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | | REF_CLOSE: (3), (12), (21) are inconsistent by sub-proof #1774.
% 195.59/32.57  | | | | 
% 195.59/32.57  | | | End of split
% 195.59/32.57  | | | 
% 195.59/32.57  | | End of split
% 195.59/32.57  | | 
% 195.59/32.57  | End of split
% 195.59/32.57  | 
% 195.59/32.57  End of proof
% 195.59/32.57  
% 195.59/32.57  Sub-proof #602 shows that the following formulas are inconsistent:
% 195.59/32.57  ----------------------------------------------------------------
% 195.59/32.58    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.59/32.58           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.59/32.58           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.59/32.58                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.59/32.58               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.59/32.58               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.59/32.58           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.59/32.58           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.59/32.58               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.59/32.58           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.59/32.58               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.59/32.58           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.59/32.58           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.59/32.58               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.59/32.58               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.59/32.58               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.59/32.58         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.59/32.58           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.59/32.58           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.59/32.58               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.59/32.58             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.59/32.58         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.59/32.58           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.59/32.58           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.59/32.58                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.59/32.58               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.59/32.58               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.59/32.58           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.59/32.58           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.59/32.58             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.59/32.58           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.59/32.58               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.59/32.58           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.59/32.58           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.59/32.58               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.59/32.58               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.59/32.58               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.59/32.58         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.59/32.58           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.59/32.58           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.59/32.58               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.59/32.58             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.59/32.58         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.59/32.58           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.59/32.58           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.59/32.58                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.59/32.58               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.59/32.58               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.59/32.58           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.59/32.58             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.59/32.58               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.59/32.58           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.59/32.58               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.59/32.58           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.59/32.58           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.59/32.58               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.59/32.58               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.59/32.58               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.59/32.58         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.59/32.58           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.59/32.58           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.59/32.58               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.59/32.58             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.59/32.58         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.59/32.58             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.59/32.58           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.59/32.58               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.59/32.58             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.59/32.58         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.59/32.58             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.59/32.58           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.59/32.58               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.59/32.58             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.59/32.58         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.59/32.58             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.59/32.58           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.59/32.58               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.59/32.58             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.59/32.58         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.59/32.58             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.59/32.58           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.59/32.58               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.59/32.58             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.59/32.58    (2)  all_54_4 = all_52_1
% 195.59/32.58    (3)  op(e1, e2) = all_52_6
% 195.59/32.58    (4)   ~ (all_52_14 = e0)
% 195.59/32.58    (5)   ~ (all_52_6 = e0)
% 195.59/32.58    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.59/32.58         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.59/32.58    (7)   ~ (all_52_1 = e0)
% 195.59/32.58    (8)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 195.59/32.58    (9)  all_54_3 = all_52_12
% 195.59/32.58    (10)   ~ (all_52_11 = e1)
% 195.59/32.58    (11)  all_54_6 = all_52_9
% 195.59/32.58    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.59/32.58          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.59/32.58    (13)   ~ (all_52_1 = all_52_9)
% 195.59/32.58    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.59/32.58          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.59/32.58    (15)  op(e0, e0) = e1
% 195.59/32.58    (16)  op(e3, e0) = e3
% 195.59/32.58    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.59/32.58          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.59/32.58    (18)   ~ (all_52_2 = e0)
% 195.59/32.58    (19)  all_54_2 = all_52_8
% 195.59/32.58    (20)   ~ (all_52_13 = e2)
% 195.59/32.58    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.59/32.58            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.59/32.58    (22)  op(e3, e2) = all_52_4
% 195.59/32.58    (23)  op(e2, e2) = all_4_2
% 195.59/32.58    (24)   ~ (all_52_9 = e0)
% 195.59/32.58    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.59/32.58          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.59/32.58    (26)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.59/32.58          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.59/32.58    (27)   ~ (all_52_4 = all_52_8)
% 195.59/32.58    (28)  all_56_11 = e2
% 195.59/32.58    (29)  all_54_9 = all_52_6
% 195.59/32.58    (30)  all_56_14 = e2
% 195.59/32.58    (31)  op(e2, e0) = all_52_13
% 195.59/32.58    (32)  op(e1, e0) = all_52_14
% 195.59/32.58    (33)   ~ (all_52_12 = e2)
% 195.59/32.58    (34)  all_54_8 = all_52_2
% 195.59/32.58    (35)   ~ (all_52_8 = all_52_9)
% 195.59/32.58    (36)   ~ (all_52_4 = all_52_12)
% 195.59/32.58    (37)   ~ (all_52_13 = e1)
% 195.59/32.58    (38)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.59/32.58          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.59/32.58    (39)   ~ (all_52_2 = e2)
% 195.59/32.58    (40)   ~ (all_52_9 = e2)
% 195.59/32.58    (41)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.59/32.58    (42)   ~ (all_52_12 = e0)
% 195.59/32.58    (43)   ~ (all_52_6 = e2)
% 195.59/32.58    (44)  op(e0, e1) = all_52_11
% 195.59/32.58    (45)  op(e1, e1) = e0
% 195.59/32.58    (46)   ~ (all_4_2 = e3)
% 195.59/32.58    (47)   ~ (all_52_8 = all_52_12)
% 195.59/32.58    (48)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.59/32.58    (49)   ~ (all_52_8 = e2)
% 195.59/32.58    (50)  op(e3, e3) = e2
% 195.59/32.58    (51)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.59/32.58    (52)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.59/32.58          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.59/32.58    (53)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.59/32.58    (54)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.59/32.58          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.59/32.58    (55)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.59/32.58          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.59/32.58    (56)   ~ (all_52_2 = all_52_6)
% 195.59/32.58    (57)   ~ (all_52_1 = e2)
% 195.59/32.58    (58)   ~ (e2 = e1)
% 195.59/32.58    (59)   ~ (all_52_12 = e1)
% 195.59/32.58    (60)  op(e3, e0) = all_52_12
% 195.59/32.58    (61)  op(e2, e2) = e2
% 195.59/32.58    (62)  op(e2, e1) = all_52_9
% 195.59/32.58    (63)   ~ (all_52_1 = all_52_2)
% 195.59/32.58    (64)  op(e3, e1) = all_52_8
% 195.59/32.58    (65)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.59/32.58          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.59/32.58    (66)   ~ (e2 = e0)
% 195.59/32.58    (67)   ~ (all_52_8 = e0)
% 195.59/32.58    (68)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.59/32.58  
% 195.59/32.58  Begin of proof
% 195.59/32.58  | 
% 195.59/32.58  | BETA: splitting (8) gives:
% 195.59/32.58  | 
% 195.59/32.58  | Case 1:
% 195.59/32.58  | | 
% 195.59/32.58  | |   (69)  all_54_3 = e3
% 195.59/32.58  | | 
% 195.59/32.58  | | COMBINE_EQS: (9), (69) imply:
% 195.59/32.58  | |   (70)  all_52_12 = e3
% 195.59/32.58  | | 
% 195.59/32.58  | | SIMP: (70) implies:
% 195.59/32.58  | |   (71)  all_52_12 = e3
% 195.59/32.58  | | 
% 195.59/32.58  | | REDUCE: (36), (71) imply:
% 195.59/32.58  | |   (72)   ~ (all_52_4 = e3)
% 195.59/32.58  | | 
% 195.59/32.58  | | REDUCE: (47), (71) imply:
% 195.59/32.58  | |   (73)   ~ (all_52_8 = e3)
% 195.59/32.58  | | 
% 195.59/32.58  | | REDUCE: (33), (71) imply:
% 195.59/32.58  | |   (74)   ~ (e3 = e2)
% 195.59/32.58  | | 
% 195.59/32.58  | | REDUCE: (59), (71) imply:
% 195.59/32.58  | |   (75)   ~ (e3 = e1)
% 195.59/32.58  | | 
% 195.59/32.58  | | REDUCE: (42), (71) imply:
% 195.59/32.58  | |   (76)   ~ (e3 = e0)
% 195.59/32.58  | | 
% 195.59/32.58  | | BETA: splitting (51) gives:
% 195.59/32.58  | | 
% 195.59/32.58  | | Case 1:
% 195.59/32.58  | | | 
% 195.59/32.58  | | |   (77)  all_54_2 = e3
% 195.59/32.58  | | | 
% 195.59/32.58  | | | COMBINE_EQS: (19), (77) imply:
% 195.59/32.58  | | |   (78)  all_52_8 = e3
% 195.59/32.58  | | | 
% 195.59/32.58  | | | REDUCE: (73), (78) imply:
% 195.59/32.58  | | |   (79)  $false
% 195.59/32.58  | | | 
% 195.59/32.58  | | | CLOSE: (79) is inconsistent.
% 195.59/32.58  | | | 
% 195.59/32.58  | | Case 2:
% 195.59/32.58  | | | 
% 195.59/32.58  | | |   (80)   ~ (all_54_2 = e3)
% 195.59/32.58  | | |   (81)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.59/32.58  | | | 
% 195.59/32.58  | | | BETA: splitting (81) gives:
% 195.59/32.58  | | | 
% 195.59/32.58  | | | Case 1:
% 195.59/32.58  | | | | 
% 195.59/32.58  | | | |   (82)  all_54_2 = e2
% 195.59/32.58  | | | | 
% 195.59/32.58  | | | | COMBINE_EQS: (19), (82) imply:
% 195.59/32.58  | | | |   (83)  all_52_8 = e2
% 195.59/32.58  | | | | 
% 195.59/32.58  | | | | REDUCE: (49), (83) imply:
% 195.59/32.58  | | | |   (84)  $false
% 195.59/32.58  | | | | 
% 195.59/32.58  | | | | CLOSE: (84) is inconsistent.
% 195.59/32.58  | | | | 
% 195.59/32.58  | | | Case 2:
% 195.59/32.58  | | | | 
% 195.59/32.58  | | | |   (85)   ~ (all_54_2 = e2)
% 195.59/32.58  | | | |   (86)  all_54_2 = e1 | all_54_2 = e0
% 195.59/32.58  | | | | 
% 195.59/32.58  | | | | BETA: splitting (55) gives:
% 195.59/32.58  | | | | 
% 195.59/32.58  | | | | Case 1:
% 195.59/32.58  | | | | | 
% 195.59/32.58  | | | | |   (87)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2,
% 195.59/32.58  | | | | |             e1) = e3)
% 195.59/32.58  | | | | | 
% 195.59/32.58  | | | | | BETA: splitting (87) gives:
% 195.59/32.58  | | | | | 
% 195.59/32.58  | | | | | Case 1:
% 195.59/32.58  | | | | | | 
% 195.59/32.58  | | | | | |   (88)  all_56_4 = e3 & op(e3, e1) = e3
% 195.59/32.58  | | | | | | 
% 195.59/32.58  | | | | | | ALPHA: (88) implies:
% 195.59/32.58  | | | | | |   (89)  op(e3, e1) = e3
% 195.59/32.58  | | | | | | 
% 195.59/32.58  | | | | | | REF_CLOSE: (21), (64), (73), (89) are inconsistent by sub-proof
% 195.59/32.58  | | | | | |            #1759.
% 195.59/32.58  | | | | | | 
% 195.59/32.58  | | | | | Case 2:
% 195.59/32.58  | | | | | | 
% 195.59/32.58  | | | | | |   (90)  all_56_5 = e3 & op(e2, e1) = e3
% 195.59/32.58  | | | | | | 
% 195.59/32.58  | | | | | | ALPHA: (90) implies:
% 195.59/32.58  | | | | | |   (91)  all_56_5 = e3
% 195.59/32.58  | | | | | |   (92)  op(e2, e1) = e3
% 195.59/32.58  | | | | | | 
% 195.59/32.58  | | | | | | BETA: splitting (52) gives:
% 195.59/32.58  | | | | | | 
% 195.59/32.58  | | | | | | Case 1:
% 195.59/32.58  | | | | | | | 
% 195.59/32.58  | | | | | | |   (93)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 195.59/32.58  | | | | | | |           op(e2, e2) = e1)
% 195.59/32.58  | | | | | | | 
% 195.59/32.58  | | | | | | | BETA: splitting (93) gives:
% 195.59/32.58  | | | | | | | 
% 195.59/32.58  | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | 
% 195.59/32.58  | | | | | | | |   (94)  all_56_2 = e1 & op(e2, e3) = e1
% 195.59/32.58  | | | | | | | | 
% 195.59/32.58  | | | | | | | | ALPHA: (94) implies:
% 195.59/32.58  | | | | | | | |   (95)  all_56_2 = e1
% 195.59/32.58  | | | | | | | | 
% 195.59/32.58  | | | | | | | | BETA: splitting (86) gives:
% 195.59/32.58  | | | | | | | | 
% 195.59/32.58  | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | 
% 195.59/32.58  | | | | | | | | |   (96)  all_54_2 = e1
% 195.59/32.58  | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | COMBINE_EQS: (19), (96) imply:
% 195.59/32.58  | | | | | | | | |   (97)  all_52_8 = e1
% 195.59/32.58  | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | SIMP: (97) implies:
% 195.59/32.58  | | | | | | | | |   (98)  all_52_8 = e1
% 195.59/32.58  | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | REDUCE: (27), (98) imply:
% 195.59/32.58  | | | | | | | | |   (99)   ~ (all_52_4 = e1)
% 195.59/32.58  | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | REDUCE: (35), (98) imply:
% 195.59/32.58  | | | | | | | | |   (100)   ~ (all_52_9 = e1)
% 195.59/32.58  | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | SIMP: (100) implies:
% 195.59/32.58  | | | | | | | | |   (101)   ~ (all_52_9 = e1)
% 195.59/32.58  | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | REDUCE: (49), (98) imply:
% 195.59/32.58  | | | | | | | | |   (102)   ~ (e2 = e1)
% 195.59/32.58  | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | REDUCE: (67), (98) imply:
% 195.59/32.58  | | | | | | | | |   (103)   ~ (e1 = e0)
% 195.59/32.58  | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | BETA: splitting (41) gives:
% 195.59/32.58  | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | |   (104)  all_54_6 = e3
% 195.59/32.58  | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | COMBINE_EQS: (11), (104) imply:
% 195.59/32.58  | | | | | | | | | |   (105)  all_52_9 = e3
% 195.59/32.58  | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | SIMP: (105) implies:
% 195.59/32.58  | | | | | | | | | |   (106)  all_52_9 = e3
% 195.59/32.58  | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | REDUCE: (13), (106) imply:
% 195.59/32.58  | | | | | | | | | |   (107)   ~ (all_52_1 = e3)
% 195.59/32.58  | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | BETA: splitting (53) gives:
% 195.59/32.58  | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | |   (108)  all_54_4 = e3
% 195.59/32.58  | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | REF_CLOSE: (2), (107), (108) are inconsistent by sub-proof
% 195.59/32.58  | | | | | | | | | | |            #1409.
% 195.59/32.58  | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | |   (109)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.59/32.58  | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | BETA: splitting (109) gives:
% 195.59/32.58  | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | |   (110)  all_54_4 = e2
% 195.59/32.58  | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | REF_CLOSE: (2), (57), (110) are inconsistent by sub-proof
% 195.59/32.58  | | | | | | | | | | | |            #1833.
% 195.59/32.58  | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | |   (111)   ~ (all_54_4 = e2)
% 195.59/32.58  | | | | | | | | | | | |   (112)  all_54_4 = e1 | all_54_4 = e0
% 195.59/32.58  | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | BETA: splitting (14) gives:
% 195.59/32.58  | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | |   (113)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 195.59/32.58  | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 195.59/32.58  | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | BETA: splitting (113) gives:
% 195.59/32.58  | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | |   (114)  all_56_0 = e1 & op(e3, e3) = e1
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | ALPHA: (114) implies:
% 195.59/32.58  | | | | | | | | | | | | | |   (115)  op(e3, e3) = e1
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | REF_CLOSE: (6), (17), (21), (54), (58), (66), (74), (75),
% 195.59/32.58  | | | | | | | | | | | | | |            (76), (95), (103), (115) are inconsistent by
% 195.59/32.58  | | | | | | | | | | | | | |            sub-proof #1844.
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | |   (116)  all_56_1 = e1 & op(e3, e2) = e1
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | ALPHA: (116) implies:
% 195.59/32.58  | | | | | | | | | | | | | |   (117)  op(e3, e2) = e1
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (99), (117) are inconsistent by
% 195.59/32.58  | | | | | | | | | | | | | |            sub-proof #1910.
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | End of split
% 195.59/32.58  | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | |   (118)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 195.59/32.58  | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 195.59/32.58  | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | BETA: splitting (118) gives:
% 195.59/32.58  | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | |   (119)  all_56_4 = e1 & op(e3, e1) = e1
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | ALPHA: (119) implies:
% 195.59/32.58  | | | | | | | | | | | | | |   (120)  all_56_4 = e1
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 195.59/32.58  | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | |   (121)  all_54_4 = e1
% 195.59/32.58  | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | COMBINE_EQS: (2), (121) imply:
% 195.59/32.58  | | | | | | | | | | | | | | |   (122)  all_52_1 = e1
% 195.59/32.58  | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | SIMP: (122) implies:
% 195.59/32.58  | | | | | | | | | | | | | | |   (123)  all_52_1 = e1
% 195.59/32.58  | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | REDUCE: (63), (123) imply:
% 195.59/32.58  | | | | | | | | | | | | | | |   (124)   ~ (all_52_2 = e1)
% 195.59/32.58  | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | SIMP: (124) implies:
% 195.59/32.58  | | | | | | | | | | | | | | |   (125)   ~ (all_52_2 = e1)
% 195.59/32.58  | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | |   (126)  all_54_8 = e3
% 195.59/32.58  | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (126) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | |   (127)  all_52_2 = e3
% 195.59/32.58  | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | REDUCE: (56), (127) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | |   (128)   ~ (all_52_6 = e3)
% 195.59/32.58  | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | SIMP: (128) implies:
% 195.59/32.58  | | | | | | | | | | | | | | | |   (129)   ~ (all_52_6 = e3)
% 195.59/32.58  | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | |   (130)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 195.59/32.58  | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | |   (131)  all_56_0 = e0 & op(e3, e3) = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | ALPHA: (131) implies:
% 195.59/32.58  | | | | | | | | | | | | | | | | | |   (132)  op(e3, e3) = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (50), (66), (132) are inconsistent by
% 195.59/32.58  | | | | | | | | | | | | | | | | | |            sub-proof #833.
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | |   (133)  all_56_2 = e0 & op(e2, e3) = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 195.59/32.58  | | | | | | | | | | | | | | | | | |   (134)  all_56_2 = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (134) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | | | |   (135)  e1 = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (120), (135) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | | | |   (136)  all_56_4 = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (25), (26), (45), (55), (58), (66), (74),
% 195.59/32.58  | | | | | | | | | | | | | | | | | |            (75), (76), (103), (136) are inconsistent by
% 195.59/32.58  | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | End of split
% 195.59/32.58  | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | |   (137)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 195.59/32.58  | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 195.59/32.58  | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | |   (138)  all_56_6 = e0 & op(e1, e3) = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | ALPHA: (138) implies:
% 195.59/32.58  | | | | | | | | | | | | | | | | | |   (139)  all_56_6 = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | |   (140)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 195.59/32.58  | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e1)
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |   (141)  all_56_6 = e1 & op(e1, e3) = e1
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (25), (26), (45), (55), (58), (66), (74),
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |            (75), (76), (103), (120), (139), (141) are
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |   (142)  all_56_7 = e1 & op(e1, e2) = e1
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | ALPHA: (142) implies:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |   (143)  all_56_7 = e1
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (28), (45), (65), (74), (75), (76), (139),
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |            (143) are inconsistent by sub-proof #1580.
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | End of split
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | |   (144)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 195.59/32.58  | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e0) = e1)
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (28), (45), (58), (103), (144) are
% 195.59/32.58  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1559.
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | End of split
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | |   (145)  all_56_12 = e0 & op(e0, e3) = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 195.59/32.58  | | | | | | | | | | | | | | | | | |   (146)  op(e0, e3) = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | |   (147)  all_54_9 = e3
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (147) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | |   (148)  all_52_6 = e3
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | REDUCE: (129), (148) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | |   (149)  $false
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | CLOSE: (149) is inconsistent.
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | |   (150)   ~ (all_54_9 = e3)
% 195.59/32.58  | | | | | | | | | | | | | | | | | | |   (151)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |   (152)  all_54_9 = e2
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (152) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |   (153)  all_52_6 = e2
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (153) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |   (154)  $false
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | CLOSE: (154) is inconsistent.
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |   (155)   ~ (all_54_9 = e2)
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | |   (156)  all_54_9 = e1 | all_54_9 = e0
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | |   (157)  all_54_9 = e1
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (157) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | |   (158)  all_52_6 = e1
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (158) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | |   (159)   ~ (e3 = e1)
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (158) imply:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | |   (160)  op(e1, e2) = e1
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | |   (161)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | |   (162)  all_56_6 = e3 & op(e1, e3) = e3
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | |   (163)  all_56_6 = e3
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.59/32.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |   (164)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |   (165)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (166)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (23), (46), (72), (166) are
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1530.
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (167)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15), (17), (21), (58), (66), (74), (75),
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (95), (103), (146), (163), (167) are
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #604.
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (168)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (169)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (42), (50), (60), (66), (169) are
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #658.
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (170)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (58), (61), (62), (101), (170) are
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1481.
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |   (171)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (172)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (173)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (31), (45), (66), (160), (173) are
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1480.
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (21), (32), (44), (174) are
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1883.
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (175)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (21), (45), (66), (75), (103), (146), (160),
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | |            (175) are inconsistent by sub-proof #603.
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_56_7 = e3 & op(e1, e2) = e3
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | |   (177)  op(e1, e2) = e3
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (21), (129), (177) are inconsistent by
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1408.
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | |   (178)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (21), (28), (30), (66), (74), (76), (91),
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | |            (103), (120), (178) are inconsistent by sub-proof
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | |            #1496.
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | |   (179)  all_54_9 = e0
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (179) imply:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | |   (180)  all_52_6 = e0
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (180) imply:
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | |   (181)  $false
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | CLOSE: (181) is inconsistent.
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | |   (182)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.61/32.59  | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | | REF_CLOSE: (18), (34), (39), (125), (182) are inconsistent by
% 195.61/32.59  | | | | | | | | | | | | | | | |            sub-proof #670.
% 195.61/32.59  | | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | |   (183)  all_54_4 = e0
% 195.61/32.59  | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (183) are inconsistent by sub-proof
% 195.61/32.59  | | | | | | | | | | | | | | |            #1831.
% 195.61/32.59  | | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | |   (184)  all_56_9 = e1 & op(e3, e0) = e1
% 195.61/32.59  | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | ALPHA: (184) implies:
% 195.61/32.59  | | | | | | | | | | | | | |   (185)  op(e3, e0) = e1
% 195.61/32.59  | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | | REF_CLOSE: (21), (59), (60), (185) are inconsistent by
% 195.61/32.59  | | | | | | | | | | | | | |            sub-proof #1949.
% 195.61/32.59  | | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | |   (186)   ~ (all_54_6 = e3)
% 195.61/32.59  | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | REDUCE: (11), (186) imply:
% 195.61/32.59  | | | | | | | | | |   (187)   ~ (all_52_9 = e3)
% 195.61/32.59  | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | | REF_CLOSE: (21), (62), (92), (187) are inconsistent by
% 195.61/32.59  | | | | | | | | | |            sub-proof #1758.
% 195.61/32.59  | | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | | 
% 195.61/32.59  | | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | | 
% 195.61/32.59  | | | | | | | | |   (188)  all_54_2 = e0
% 195.61/32.59  | | | | | | | | | 
% 195.61/32.59  | | | | | | | | | REF_CLOSE: (19), (67), (188) are inconsistent by sub-proof
% 195.61/32.59  | | | | | | | | |            #1389.
% 195.61/32.59  | | | | | | | | | 
% 195.61/32.59  | | | | | | | | End of split
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | |   (189)  all_56_3 = e1 & op(e2, e2) = e1
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | | ALPHA: (189) implies:
% 195.61/32.59  | | | | | | | |   (190)  op(e2, e2) = e1
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | | REF_CLOSE: (21), (58), (61), (190) are inconsistent by sub-proof
% 195.61/32.59  | | | | | | | |            #1783.
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | End of split
% 195.61/32.59  | | | | | | | 
% 195.61/32.59  | | | | | | Case 2:
% 195.61/32.59  | | | | | | | 
% 195.61/32.59  | | | | | | |   (191)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 &
% 195.61/32.59  | | | | | | |            op(e2, e0) = e1)
% 195.61/32.59  | | | | | | | 
% 195.61/32.59  | | | | | | | BETA: splitting (191) gives:
% 195.61/32.59  | | | | | | | 
% 195.61/32.59  | | | | | | | Case 1:
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | |   (192)  all_56_5 = e1 & op(e2, e1) = e1
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | | ALPHA: (192) implies:
% 195.61/32.59  | | | | | | | |   (193)  all_56_5 = e1
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | | REF_CLOSE: (75), (91), (193) are inconsistent by sub-proof
% 195.61/32.59  | | | | | | | |            #1825.
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | Case 2:
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | |   (194)  all_56_10 = e1 & op(e2, e0) = e1
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | | ALPHA: (194) implies:
% 195.61/32.59  | | | | | | | |   (195)  op(e2, e0) = e1
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | | REF_CLOSE: (21), (31), (37), (195) are inconsistent by sub-proof
% 195.61/32.59  | | | | | | | |            #1650.
% 195.61/32.59  | | | | | | | | 
% 195.61/32.59  | | | | | | | End of split
% 195.61/32.59  | | | | | | | 
% 195.61/32.59  | | | | | | End of split
% 195.61/32.59  | | | | | | 
% 195.61/32.59  | | | | | End of split
% 195.61/32.59  | | | | | 
% 195.61/32.59  | | | | Case 2:
% 195.61/32.59  | | | | | 
% 195.61/32.59  | | | | |   (196)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0,
% 195.61/32.59  | | | | |              e1) = e3)
% 195.61/32.59  | | | | | 
% 195.61/32.59  | | | | | REF_CLOSE: (21), (30), (45), (74), (76), (196) are inconsistent by
% 195.61/32.59  | | | | |            sub-proof #912.
% 195.61/32.59  | | | | | 
% 195.61/32.59  | | | | End of split
% 195.61/32.59  | | | | 
% 195.61/32.59  | | | End of split
% 195.61/32.59  | | | 
% 195.61/32.59  | | End of split
% 195.61/32.59  | | 
% 195.61/32.59  | Case 2:
% 195.61/32.59  | | 
% 195.61/32.59  | |   (197)   ~ (all_54_3 = e3)
% 195.61/32.59  | | 
% 195.61/32.59  | | REDUCE: (9), (197) imply:
% 195.61/32.59  | |   (198)   ~ (all_52_12 = e3)
% 195.61/32.59  | | 
% 195.61/32.59  | | REF_CLOSE: (16), (21), (60), (198) are inconsistent by sub-proof #1964.
% 195.61/32.59  | | 
% 195.61/32.59  | End of split
% 195.61/32.59  | 
% 195.61/32.59  End of proof
% 195.61/32.59  
% 195.61/32.59  Sub-proof #603 shows that the following formulas are inconsistent:
% 195.61/32.59  ----------------------------------------------------------------
% 195.61/32.59    (1)  op(e0, e0) = e1
% 195.61/32.59    (2)  op(e1, e2) = e1
% 195.61/32.59    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.61/32.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.61/32.59    (4)  op(e0, e3) = e0
% 195.61/32.59    (5)  op(e1, e1) = e0
% 195.61/32.59    (6)   ~ (e1 = e0)
% 195.61/32.59    (7)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.61/32.59             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.61/32.59           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.61/32.59               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.61/32.59             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.61/32.59         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.61/32.59             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.61/32.59           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.61/32.59               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.61/32.59             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.61/32.59         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.61/32.59             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.61/32.59           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.61/32.59               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.61/32.59             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.61/32.59         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.61/32.59             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.61/32.59           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.61/32.59               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.61/32.59             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.61/32.59    (8)   ~ (e3 = e1)
% 195.61/32.59    (9)   ~ (e2 = e0)
% 195.61/32.59  
% 195.61/32.59  Begin of proof
% 195.61/32.59  | 
% 195.61/32.59  | BETA: splitting (7) gives:
% 195.61/32.59  | 
% 195.61/32.59  | Case 1:
% 195.61/32.59  | | 
% 195.61/32.59  | |   (10)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 195.61/32.59  | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.61/32.59  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.61/32.59  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.61/32.59  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.61/32.59  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 195.61/32.59  | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 195.61/32.59  | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 195.61/32.59  | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.61/32.59  | |               all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 195.61/32.59  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.61/32.59  | |               $i(all_57_5))))
% 195.61/32.59  | | 
% 195.61/32.59  | | BETA: splitting (10) gives:
% 195.61/32.59  | | 
% 195.61/32.59  | | Case 1:
% 195.61/32.59  | | | 
% 195.61/32.59  | | |   (11)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 195.61/32.59  | | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.61/32.59  | | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.61/32.59  | | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.61/32.59  | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.61/32.59  | | |               e3) = all_57_2 & $i(all_57_2)))
% 195.61/32.59  | | | 
% 195.61/32.59  | | | ALPHA: (11) implies:
% 195.61/32.59  | | |   (12)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.61/32.59  | | |             e3) = all_57_2 & $i(all_57_2))
% 195.61/32.59  | | | 
% 195.61/32.59  | | | REF_CLOSE: (1), (3), (4), (8), (12) are inconsistent by sub-proof #911.
% 195.61/32.59  | | | 
% 195.61/32.59  | | Case 2:
% 195.61/32.59  | | | 
% 195.61/32.59  | | |   (13)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 195.61/32.59  | | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.61/32.59  | | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.61/32.59  | | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.61/32.59  | | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.61/32.59  | | |               e2) = all_57_5 & $i(all_57_5)))
% 195.61/32.59  | | | 
% 195.61/32.59  | | | ALPHA: (13) implies:
% 195.61/32.59  | | |   (14)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 195.61/32.59  | | |             e2) = all_57_4 & $i(all_57_4))
% 195.61/32.59  | | | 
% 195.61/32.59  | | | REF_CLOSE: (2), (3), (5), (9), (14) are inconsistent by sub-proof #1513.
% 195.61/32.59  | | | 
% 195.61/32.59  | | End of split
% 195.61/32.59  | | 
% 195.61/32.59  | Case 2:
% 195.61/32.59  | | 
% 195.61/32.59  | |   (15)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 195.61/32.59  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.61/32.59  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.61/32.59  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.61/32.59  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.61/32.59  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 195.61/32.59  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.61/32.59  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 195.61/32.59  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.61/32.59  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 195.61/32.59  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.61/32.59  | |               $i(all_57_13))))
% 195.61/32.59  | | 
% 195.61/32.59  | | REF_CLOSE: (1), (3), (5), (6), (15) are inconsistent by sub-proof #915.
% 195.61/32.59  | | 
% 195.61/32.59  | End of split
% 195.61/32.59  | 
% 195.61/32.59  End of proof
% 195.61/32.59  
% 195.61/32.59  Sub-proof #604 shows that the following formulas are inconsistent:
% 195.61/32.59  ----------------------------------------------------------------
% 195.61/32.59    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.61/32.59         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.61/32.59    (2)  op(e0, e0) = e1
% 195.61/32.59    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.61/32.59         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.61/32.59    (4)   ~ (e3 = e2)
% 195.61/32.59    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.61/32.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.61/32.59    (6)  op(e0, e3) = e0
% 195.61/32.59    (7)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.61/32.59           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.61/32.59           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.61/32.59                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.61/32.59               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.61/32.59               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.61/32.59           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 195.61/32.59           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.61/32.59               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.61/32.59           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.61/32.59               = all_57_2 & $i(all_57_2))))
% 195.61/32.59    (8)   ~ (e1 = e0)
% 195.61/32.59    (9)  all_56_2 = e1
% 195.61/32.59    (10)  all_56_6 = e3
% 195.61/32.59    (11)   ~ (e2 = e1)
% 195.61/32.59    (12)   ~ (e3 = e1)
% 195.61/32.59    (13)   ~ (e2 = e0)
% 195.61/32.59    (14)   ~ (e3 = e0)
% 195.61/32.59  
% 195.61/32.59  Begin of proof
% 195.61/32.59  | 
% 195.61/32.59  | BETA: splitting (7) gives:
% 195.61/32.59  | 
% 195.61/32.59  | Case 1:
% 195.61/32.59  | | 
% 195.61/32.59  | |   (15)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.61/32.59  | |         op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.61/32.59  | |         $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.61/32.59  | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 =
% 195.61/32.59  | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.61/32.59  | |             all_57_8 & $i(all_57_8)))
% 195.61/32.59  | | 
% 195.61/32.59  | | ALPHA: (15) implies:
% 195.61/32.59  | |   (16)  op(e3, e3) = e1
% 195.61/32.59  | | 
% 195.61/32.59  | | REF_CLOSE: (1), (3), (4), (5), (8), (9), (10), (11), (13), (14), (16) are
% 195.61/32.59  | |            inconsistent by sub-proof #1850.
% 195.61/32.59  | | 
% 195.61/32.59  | Case 2:
% 195.61/32.59  | | 
% 195.61/32.59  | |   (17)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.61/32.59  | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.61/32.59  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.61/32.59  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 195.61/32.59  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.61/32.59  | |             all_57_2 & $i(all_57_2)))
% 195.61/32.59  | | 
% 195.61/32.59  | | ALPHA: (17) implies:
% 195.61/32.59  | |   (18)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.61/32.59  | |             e3) = all_57_2 & $i(all_57_2))
% 195.61/32.59  | | 
% 195.61/32.59  | | REF_CLOSE: (2), (5), (6), (12), (18) are inconsistent by sub-proof #911.
% 195.61/32.59  | | 
% 195.61/32.59  | End of split
% 195.61/32.59  | 
% 195.61/32.59  End of proof
% 195.61/32.59  
% 195.61/32.59  Sub-proof #605 shows that the following formulas are inconsistent:
% 195.61/32.59  ----------------------------------------------------------------
% 195.61/32.59    (1)  all_54_7 = all_14_0
% 195.61/32.59    (2)  all_54_7 = e2
% 195.61/32.59    (3)   ~ (all_14_0 = e2)
% 195.61/32.59  
% 195.61/32.59  Begin of proof
% 195.61/32.59  | 
% 195.61/32.59  | COMBINE_EQS: (1), (2) imply:
% 195.61/32.59  |   (4)  all_14_0 = e2
% 195.61/32.59  | 
% 195.61/32.59  | SIMP: (4) implies:
% 195.61/32.59  |   (5)  all_14_0 = e2
% 195.61/32.59  | 
% 195.61/32.59  | REDUCE: (3), (5) imply:
% 195.61/32.59  |   (6)  $false
% 195.61/32.59  | 
% 195.61/32.59  | CLOSE: (6) is inconsistent.
% 195.61/32.59  | 
% 195.61/32.59  End of proof
% 195.61/32.59  
% 195.61/32.59  Sub-proof #606 shows that the following formulas are inconsistent:
% 195.61/32.59  ----------------------------------------------------------------
% 195.61/32.59    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.61/32.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.61/32.59    (2)  all_56_1 = e0
% 195.61/32.59    (3)  op(e3, e3) = e2
% 195.61/32.59    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 195.61/32.59    (5)   ~ (e1 = e0)
% 195.61/32.59    (6)   ~ (e2 = e1)
% 195.61/32.59  
% 195.61/32.59  Begin of proof
% 195.61/32.59  | 
% 195.61/32.59  | BETA: splitting (4) gives:
% 195.61/32.59  | 
% 195.61/32.59  | Case 1:
% 195.61/32.59  | | 
% 195.61/32.59  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 195.61/32.59  | | 
% 195.61/32.59  | | ALPHA: (7) implies:
% 195.61/32.59  | |   (8)  op(e3, e3) = e1
% 195.61/32.59  | | 
% 195.61/32.59  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1934.
% 195.61/32.59  | | 
% 195.61/32.59  | Case 2:
% 195.61/32.59  | | 
% 195.61/32.59  | |   (9)  all_56_1 = e1 & op(e3, e2) = e1
% 195.61/32.59  | | 
% 195.61/32.59  | | ALPHA: (9) implies:
% 195.61/32.59  | |   (10)  all_56_1 = e1
% 195.61/32.59  | | 
% 195.61/32.59  | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #1628.
% 195.61/32.59  | | 
% 195.61/32.59  | End of split
% 195.61/32.59  | 
% 195.61/32.59  End of proof
% 195.61/32.59  
% 195.61/32.59  Sub-proof #607 shows that the following formulas are inconsistent:
% 195.61/32.59  ----------------------------------------------------------------
% 195.61/32.59    (1)  op(e1, e3) = all_52_2
% 195.61/32.59    (2)   ~ (all_52_3 = e1)
% 195.61/32.59    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.61/32.59    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.61/32.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.61/32.59    (5)  op(e0, e3) = all_52_3
% 195.61/32.59    (6)   ~ (all_52_2 = e1)
% 195.61/32.59  
% 195.61/32.59  Begin of proof
% 195.61/32.59  | 
% 195.61/32.59  | BETA: splitting (3) gives:
% 195.61/32.59  | 
% 195.61/32.59  | Case 1:
% 195.61/32.59  | | 
% 195.61/32.59  | |   (7)  all_56_6 = e1 & op(e1, e3) = e1
% 195.61/32.59  | | 
% 195.61/32.59  | | ALPHA: (7) implies:
% 195.61/32.59  | |   (8)  op(e1, e3) = e1
% 195.61/32.59  | | 
% 195.61/32.59  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1974.
% 195.61/32.59  | | 
% 195.61/32.59  | Case 2:
% 195.61/32.59  | | 
% 195.61/32.59  | |   (9)  all_56_12 = e1 & op(e0, e3) = e1
% 195.61/32.59  | | 
% 195.61/32.59  | | ALPHA: (9) implies:
% 195.61/32.59  | |   (10)  op(e0, e3) = e1
% 195.61/32.59  | | 
% 195.61/32.59  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #1950.
% 195.61/32.59  | | 
% 195.61/32.59  | End of split
% 195.61/32.59  | 
% 195.61/32.59  End of proof
% 195.61/32.59  
% 195.61/32.59  Sub-proof #608 shows that the following formulas are inconsistent:
% 195.61/32.59  ----------------------------------------------------------------
% 195.61/32.59    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.61/32.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.61/32.59    (2)   ~ (all_52_8 = e1)
% 195.61/32.59    (3)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.61/32.60    (4)   ~ (all_52_12 = e1)
% 195.61/32.60    (5)  op(e3, e0) = all_52_12
% 195.61/32.60    (6)  op(e3, e1) = all_52_8
% 195.61/32.60  
% 195.61/32.60  Begin of proof
% 195.61/32.60  | 
% 195.61/32.60  | BETA: splitting (3) gives:
% 195.61/32.60  | 
% 195.61/32.60  | Case 1:
% 195.61/32.60  | | 
% 195.61/32.60  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 195.61/32.60  | | 
% 195.61/32.60  | | ALPHA: (7) implies:
% 195.61/32.60  | |   (8)  op(e3, e1) = e1
% 195.61/32.60  | | 
% 195.61/32.60  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1880.
% 195.61/32.60  | | 
% 195.61/32.60  | Case 2:
% 195.61/32.60  | | 
% 195.61/32.60  | |   (9)  all_56_9 = e1 & op(e3, e0) = e1
% 195.61/32.60  | | 
% 195.61/32.60  | | ALPHA: (9) implies:
% 195.61/32.60  | |   (10)  op(e3, e0) = e1
% 195.61/32.60  | | 
% 195.61/32.60  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1949.
% 195.61/32.60  | | 
% 195.61/32.60  | End of split
% 195.61/32.60  | 
% 195.61/32.60  End of proof
% 195.61/32.60  
% 195.61/32.60  Sub-proof #609 shows that the following formulas are inconsistent:
% 195.61/32.60  ----------------------------------------------------------------
% 195.61/32.60    (1)  op(e3, e2) = e1
% 195.61/32.60    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.61/32.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.61/32.60    (3)  op(e3, e2) = all_12_1
% 195.61/32.60    (4)  op(e3, e2) = all_46_1
% 195.61/32.60    (5)   ~ (all_12_1 = e1)
% 195.61/32.60  
% 195.61/32.60  Begin of proof
% 195.61/32.60  | 
% 195.61/32.60  | GROUND_INST: instantiating (2) with e1, all_46_1, e2, e3, simplifying with
% 195.61/32.60  |              (1), (4) gives:
% 195.61/32.60  |   (6)  all_46_1 = e1
% 195.61/32.60  | 
% 195.61/32.60  | GROUND_INST: instantiating (2) with all_12_1, all_46_1, e2, e3, simplifying
% 195.61/32.60  |              with (3), (4) gives:
% 195.61/32.60  |   (7)  all_46_1 = all_12_1
% 195.61/32.60  | 
% 195.61/32.60  | COMBINE_EQS: (6), (7) imply:
% 195.61/32.60  |   (8)  all_12_1 = e1
% 195.61/32.60  | 
% 195.61/32.60  | SIMP: (8) implies:
% 195.61/32.60  |   (9)  all_12_1 = e1
% 195.61/32.60  | 
% 195.61/32.60  | REDUCE: (5), (9) imply:
% 195.61/32.60  |   (10)  $false
% 195.61/32.60  | 
% 195.61/32.60  | CLOSE: (10) is inconsistent.
% 195.61/32.60  | 
% 195.61/32.60  End of proof
% 195.61/32.60  
% 195.61/32.60  Sub-proof #610 shows that the following formulas are inconsistent:
% 195.61/32.60  ----------------------------------------------------------------
% 195.61/32.60    (1)  all_54_8 = all_12_0
% 195.61/32.60    (2)   ~ (all_12_0 = e0)
% 195.61/32.60    (3)   ~ (all_12_0 = e1)
% 195.61/32.60    (4)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.61/32.60    (5)   ~ (all_12_0 = e2)
% 195.61/32.60  
% 195.61/32.60  Begin of proof
% 195.61/32.60  | 
% 195.61/32.60  | BETA: splitting (4) gives:
% 195.61/32.60  | 
% 195.61/32.60  | Case 1:
% 195.61/32.60  | | 
% 195.61/32.60  | |   (6)  all_54_8 = e2
% 195.61/32.60  | | 
% 195.61/32.60  | | COMBINE_EQS: (1), (6) imply:
% 195.61/32.60  | |   (7)  all_12_0 = e2
% 195.61/32.60  | | 
% 195.61/32.60  | | SIMP: (7) implies:
% 195.61/32.60  | |   (8)  all_12_0 = e2
% 195.61/32.60  | | 
% 195.61/32.60  | | REDUCE: (5), (8) imply:
% 195.61/32.60  | |   (9)  $false
% 195.61/32.60  | | 
% 195.61/32.60  | | CLOSE: (9) is inconsistent.
% 195.61/32.60  | | 
% 195.61/32.60  | Case 2:
% 195.61/32.60  | | 
% 195.61/32.60  | |   (10)  all_54_8 = e1 | all_54_8 = e0
% 195.61/32.60  | | 
% 195.61/32.60  | | BETA: splitting (10) gives:
% 195.61/32.60  | | 
% 195.61/32.60  | | Case 1:
% 195.61/32.60  | | | 
% 195.61/32.60  | | |   (11)  all_54_8 = e1
% 195.61/32.60  | | | 
% 195.61/32.60  | | | COMBINE_EQS: (1), (11) imply:
% 195.61/32.60  | | |   (12)  all_12_0 = e1
% 195.61/32.60  | | | 
% 195.61/32.60  | | | SIMP: (12) implies:
% 195.61/32.60  | | |   (13)  all_12_0 = e1
% 195.61/32.60  | | | 
% 195.61/32.60  | | | REDUCE: (3), (13) imply:
% 195.61/32.60  | | |   (14)  $false
% 195.61/32.60  | | | 
% 195.61/32.60  | | | CLOSE: (14) is inconsistent.
% 195.61/32.60  | | | 
% 195.61/32.60  | | Case 2:
% 195.61/32.60  | | | 
% 195.61/32.60  | | |   (15)  all_54_8 = e0
% 195.61/32.60  | | | 
% 195.61/32.60  | | | COMBINE_EQS: (1), (15) imply:
% 195.61/32.60  | | |   (16)  all_12_0 = e0
% 195.61/32.60  | | | 
% 195.61/32.60  | | | SIMP: (16) implies:
% 195.61/32.60  | | |   (17)  all_12_0 = e0
% 195.61/32.60  | | | 
% 195.61/32.60  | | | REDUCE: (2), (17) imply:
% 195.61/32.60  | | |   (18)  $false
% 195.61/32.60  | | | 
% 195.61/32.60  | | | CLOSE: (18) is inconsistent.
% 195.61/32.60  | | | 
% 195.61/32.60  | | End of split
% 195.61/32.60  | | 
% 195.61/32.60  | End of split
% 195.61/32.60  | 
% 195.61/32.60  End of proof
% 195.61/32.60  
% 195.61/32.60  Sub-proof #611 shows that the following formulas are inconsistent:
% 195.61/32.60  ----------------------------------------------------------------
% 195.61/32.60    (1)   ~ (all_52_1 = all_4_2)
% 195.61/32.60    (2)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.61/32.60    (3)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.61/32.60         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.61/32.60    (4)  op(e1, e1) = e1
% 195.61/32.60    (5)  op(e1, e3) = all_52_2
% 195.61/32.60    (6)  all_56_1 = e1
% 195.61/32.60    (7)   ~ (all_52_3 = e1)
% 195.61/32.60    (8)  op(e1, e2) = all_52_6
% 195.61/32.60    (9)  all_54_7 = all_52_13
% 195.61/32.60    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.61/32.60          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.61/32.60    (11)   ~ (all_52_3 = e2)
% 195.61/32.60    (12)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 195.61/32.60    (13)   ~ (all_52_7 = all_4_2)
% 195.61/32.60    (14)  op(e3, e2) = e1
% 195.61/32.60    (15)  all_54_3 = all_52_12
% 195.61/32.60    (16)   ~ (all_52_3 = e3)
% 195.61/32.60    (17)   ~ (all_52_11 = e1)
% 195.61/32.60    (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.61/32.60          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.61/32.60    (19)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.61/32.60          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.61/32.60    (20)  op(e0, e0) = e1
% 195.61/32.60    (21)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.61/32.60          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.61/32.60    (22)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.61/32.60          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.61/32.60    (23)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.61/32.60          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.61/32.60    (24)   ~ (e3 = e2)
% 195.61/32.60    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.61/32.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.61/32.60    (26)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 195.61/32.60            all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e0,
% 195.61/32.60              e1) = all_14_1 & $i(all_14_1))
% 195.61/32.60    (27)  op(e3, e2) = all_52_4
% 195.61/32.60    (28)  op(e2, e2) = all_4_2
% 195.61/32.60    (29)   ~ (all_52_12 = all_52_13)
% 195.61/32.60    (30)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.61/32.60    (31)   ~ (all_52_7 = all_52_11)
% 195.61/32.60    (32)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.61/32.60          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.61/32.60    (33)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.61/32.60          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.61/32.60    (34)   ~ (all_52_3 = all_52_7)
% 195.61/32.60    (35)  all_54_12 = all_52_3
% 195.61/32.60    (36)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.61/32.60          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.61/32.60    (37)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.61/32.60          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.61/32.60            e1)
% 195.61/32.60    (38)   ~ (all_52_4 = e2)
% 195.61/32.60    (39)   ~ (all_52_14 = e3)
% 195.61/32.60    (40)  op(e0, e3) = all_52_3
% 195.61/32.60    (41)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.61/32.60          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.61/32.60            e2)
% 195.61/32.60    (42)  op(e2, e0) = all_52_13
% 195.61/32.60    (43)  op(e1, e0) = all_52_14
% 195.61/32.60    (44)   ~ (all_52_12 = e2)
% 195.61/32.60    (45)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.61/32.60          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.61/32.60    (46)   ~ (all_52_13 = e1)
% 195.61/32.60    (47)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.61/32.60              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.61/32.60            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.61/32.60            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.61/32.60            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.61/32.60            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.61/32.60            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.61/32.60            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.61/32.60            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.61/32.60            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.61/32.60            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.61/32.60            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.61/32.60            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.61/32.60            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.61/32.60            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.61/32.60            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.61/32.60            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.61/32.60            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.61/32.60            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.61/32.60            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.61/32.60            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.61/32.60            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.61/32.60            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.61/32.60            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.61/32.60            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.61/32.60            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.61/32.60            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.61/32.60            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.61/32.60            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.60            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.61/32.60            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.61/32.60            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.61/32.60            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.61/32.60            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.61/32.60            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.60            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.61/32.60            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.61/32.60            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.61/32.60            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.61/32.60            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.61/32.60            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.61/32.60            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.61/32.60            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.61/32.60            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.61/32.60            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.61/32.60            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.61/32.60            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.61/32.60            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.61/32.60              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.61/32.60            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.61/32.60            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.61/32.60              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.61/32.60            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.61/32.60            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.61/32.60                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.61/32.60                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.61/32.60                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.61/32.60                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.61/32.60                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.61/32.60                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.61/32.60                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.61/32.60              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.61/32.60                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.61/32.60                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.61/32.60                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.61/32.60                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.61/32.60                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.61/32.60                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.61/32.60                $i(all_57_7))))
% 195.61/32.60    (48)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.61/32.60          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.61/32.60    (49)   ~ (all_52_8 = e1)
% 195.61/32.60    (50)   ~ (all_52_7 = e1)
% 195.61/32.60    (51)  op(e0, e1) = all_52_11
% 195.61/32.60    (52)   ~ (all_4_2 = e1)
% 195.61/32.60    (53)   ~ (all_52_14 = e1)
% 195.61/32.60    (54)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.61/32.60          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.61/32.60    (55)   ~ (all_4_2 = e3)
% 195.61/32.60    (56)   ~ (all_52_8 = all_52_12)
% 195.61/32.60    (57)  op(e3, e3) = e2
% 195.61/32.60    (58)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.61/32.60          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.61/32.60    (59)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.61/32.60    (60)   ~ (e1 = e0)
% 195.61/32.60    (61)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 195.61/32.60          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.61/32.60    (62)  all_56_2 = e1
% 195.61/32.60    (63)   ~ (all_52_8 = all_52_11)
% 195.61/32.60    (64)   ~ (all_52_6 = e3)
% 195.61/32.60    (65)  all_54_5 = all_4_2
% 195.61/32.60    (66)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.61/32.60          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.61/32.60    (67)   ~ (all_52_1 = e2)
% 195.61/32.60    (68)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.61/32.60              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.61/32.60                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.61/32.60                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.61/32.60    (69)   ~ (e2 = e1)
% 195.61/32.60    (70)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.61/32.60          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.61/32.60    (71)   ~ (all_52_13 = all_4_2)
% 195.61/32.60    (72)   ~ (all_52_12 = e1)
% 195.61/32.60    (73)   ~ (all_52_2 = e1)
% 195.61/32.60    (74)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 195.61/32.60            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 195.61/32.60              e1) = all_16_1 & $i(all_16_1))
% 195.61/32.60    (75)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.61/32.60          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.61/32.60    (76)  op(e3, e0) = all_52_12
% 195.61/32.60    (77)   ~ (all_52_9 = all_4_2)
% 195.61/32.60    (78)  op(e2, e1) = all_52_9
% 195.61/32.60    (79)  op(e3, e1) = all_52_8
% 195.61/32.60    (80)   ~ (e3 = e1)
% 195.61/32.60    (81)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.61/32.60          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.61/32.60    (82)   ~ (all_52_6 = e1)
% 195.61/32.60    (83)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.61/32.60          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.61/32.60    (84)  op(e0, e2) = all_52_7
% 195.61/32.60    (85)   ~ (e2 = e0)
% 195.61/32.60    (86)  op(e2, e3) = all_52_1
% 195.61/32.60    (87)   ~ (e3 = e0)
% 195.61/32.60    (88)   ~ (all_52_3 = all_52_11)
% 195.61/32.60    (89)   ~ (all_52_9 = all_52_11)
% 195.61/32.60  
% 195.61/32.60  Begin of proof
% 195.61/32.60  | 
% 195.61/32.60  | BETA: splitting (83) gives:
% 195.61/32.60  | 
% 195.61/32.60  | Case 1:
% 195.61/32.60  | | 
% 195.61/32.60  | |   (90)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 195.61/32.60  | |           e3)
% 195.61/32.60  | | 
% 195.61/32.60  | | BETA: splitting (90) gives:
% 195.61/32.60  | | 
% 195.61/32.60  | | Case 1:
% 195.61/32.60  | | | 
% 195.61/32.60  | | |   (91)  all_56_6 = e3 & op(e1, e3) = e3
% 195.61/32.60  | | | 
% 195.61/32.60  | | | ALPHA: (91) implies:
% 195.61/32.60  | | |   (92)  all_56_6 = e3
% 195.61/32.60  | | | 
% 195.61/32.60  | | | BETA: splitting (45) gives:
% 195.61/32.60  | | | 
% 195.61/32.60  | | | Case 1:
% 195.61/32.60  | | | | 
% 195.61/32.60  | | | |   (93)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 195.61/32.60  | | | |           = e3)
% 195.61/32.60  | | | | 
% 195.61/32.60  | | | | REF_CLOSE: (14), (25), (28), (55), (80), (93) are inconsistent by
% 195.61/32.60  | | | |            sub-proof #738.
% 195.61/32.60  | | | | 
% 195.61/32.60  | | | Case 2:
% 195.61/32.60  | | | | 
% 195.61/32.60  | | | |   (94)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2)
% 195.61/32.60  | | | |           = e3)
% 195.61/32.60  | | | | 
% 195.61/32.60  | | | | BETA: splitting (94) gives:
% 195.61/32.60  | | | | 
% 195.61/32.60  | | | | Case 1:
% 195.61/32.60  | | | | | 
% 195.61/32.60  | | | | |   (95)  all_56_7 = e3 & op(e1, e2) = e3
% 195.61/32.60  | | | | | 
% 195.61/32.60  | | | | | ALPHA: (95) implies:
% 195.61/32.60  | | | | |   (96)  all_56_7 = e3
% 195.61/32.60  | | | | | 
% 195.61/32.60  | | | | | REF_CLOSE: (4), (24), (25), (36), (48), (60), (69), (80), (81), (83),
% 195.61/32.60  | | | | |            (85), (87), (92), (96) are inconsistent by sub-proof #1116.
% 195.61/32.60  | | | | | 
% 195.61/32.60  | | | | Case 2:
% 195.61/32.60  | | | | | 
% 195.61/32.60  | | | | |   (97)  all_56_13 = e3 & op(e0, e2) = e3
% 195.61/32.60  | | | | | 
% 195.61/32.60  | | | | | ALPHA: (97) implies:
% 195.61/32.60  | | | | |   (98)  all_56_13 = e3
% 195.61/32.60  | | | | |   (99)  op(e0, e2) = e3
% 195.61/32.60  | | | | | 
% 195.61/32.60  | | | | | BETA: splitting (30) gives:
% 195.61/32.60  | | | | | 
% 195.61/32.60  | | | | | Case 1:
% 195.61/32.60  | | | | | | 
% 195.61/32.60  | | | | | |   (100)  all_54_12 = e3
% 195.61/32.60  | | | | | | 
% 195.61/32.60  | | | | | | REF_CLOSE: (16), (35), (100) are inconsistent by sub-proof #1466.
% 195.61/32.60  | | | | | | 
% 195.61/32.60  | | | | | Case 2:
% 195.61/32.60  | | | | | | 
% 195.61/32.60  | | | | | |   (101)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.61/32.60  | | | | | | 
% 195.61/32.60  | | | | | | BETA: splitting (22) gives:
% 195.61/32.60  | | | | | | 
% 195.61/32.60  | | | | | | Case 1:
% 195.61/32.60  | | | | | | | 
% 195.61/32.60  | | | | | | |   (102)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 195.61/32.60  | | | | | | |            op(e2, e3) = e0)
% 195.61/32.60  | | | | | | | 
% 195.61/32.60  | | | | | | | REF_CLOSE: (25), (57), (60), (62), (85), (102) are inconsistent by
% 195.61/32.60  | | | | | | |            sub-proof #803.
% 195.61/32.60  | | | | | | | 
% 195.61/32.60  | | | | | | Case 2:
% 195.61/32.60  | | | | | | | 
% 195.61/32.60  | | | | | | |   (103)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 195.61/32.60  | | | | | | |            op(e0, e3) = e0)
% 195.61/32.60  | | | | | | | 
% 195.61/32.60  | | | | | | | BETA: splitting (103) gives:
% 195.61/32.60  | | | | | | | 
% 195.61/32.60  | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | 
% 195.61/32.60  | | | | | | | |   (104)  all_56_6 = e0 & op(e1, e3) = e0
% 195.61/32.60  | | | | | | | | 
% 195.61/32.60  | | | | | | | | REF_CLOSE: (87), (92), (104) are inconsistent by sub-proof
% 195.61/32.60  | | | | | | | |            #1856.
% 195.61/32.60  | | | | | | | | 
% 195.61/32.60  | | | | | | | Case 2:
% 195.61/32.60  | | | | | | | | 
% 195.61/32.60  | | | | | | | |   (105)  all_56_12 = e0 & op(e0, e3) = e0
% 195.61/32.60  | | | | | | | | 
% 195.61/32.60  | | | | | | | | ALPHA: (105) implies:
% 195.61/32.60  | | | | | | | |   (106)  all_56_12 = e0
% 195.61/32.60  | | | | | | | | 
% 195.61/32.60  | | | | | | | | BETA: splitting (41) gives:
% 195.61/32.60  | | | | | | | | 
% 195.61/32.60  | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | 
% 195.61/32.60  | | | | | | | | |   (107)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2
% 195.61/32.60  | | | | | | | | |            & op(e0, e2) = e2)
% 195.61/32.60  | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | BETA: splitting (107) gives:
% 195.61/32.60  | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | |   (108)  all_56_12 = e2 & op(e0, e3) = e2
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | REF_CLOSE: (85), (106), (108) are inconsistent by sub-proof
% 195.61/32.60  | | | | | | | | | |            #1060.
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | Case 2:
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | |   (109)  all_56_13 = e2 & op(e0, e2) = e2
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | ALPHA: (109) implies:
% 195.61/32.60  | | | | | | | | | |   (110)  all_56_13 = e2
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | REF_CLOSE: (24), (98), (110) are inconsistent by sub-proof
% 195.61/32.60  | | | | | | | | | |            #1541.
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | End of split
% 195.61/32.60  | | | | | | | | | 
% 195.61/32.60  | | | | | | | | Case 2:
% 195.61/32.60  | | | | | | | | | 
% 195.61/32.60  | | | | | | | | |   (111)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2
% 195.61/32.60  | | | | | | | | |            & op(e0, e0) = e2)
% 195.61/32.60  | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | BETA: splitting (111) gives:
% 195.61/32.60  | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | |   (112)  all_56_14 = e2 & op(e0, e1) = e2
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | ALPHA: (112) implies:
% 195.61/32.60  | | | | | | | | | |   (113)  all_56_14 = e2
% 195.61/32.60  | | | | | | | | | |   (114)  op(e0, e1) = e2
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | BETA: splitting (101) gives:
% 195.61/32.60  | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | |   (115)  all_54_12 = e2
% 195.61/32.60  | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | REF_CLOSE: (11), (35), (115) are inconsistent by sub-proof
% 195.61/32.60  | | | | | | | | | | |            #1465.
% 195.61/32.60  | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | Case 2:
% 195.61/32.60  | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | |   (116)  all_54_12 = e1 | all_54_12 = e0
% 195.61/32.60  | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | BETA: splitting (116) gives:
% 195.61/32.60  | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | |   (117)  all_54_12 = e1
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | REF_CLOSE: (7), (35), (117) are inconsistent by sub-proof
% 195.61/32.60  | | | | | | | | | | | |            #1464.
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | Case 2:
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | |   (118)  all_54_12 = e0
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | COMBINE_EQS: (35), (118) imply:
% 195.61/32.60  | | | | | | | | | | | |   (119)  all_52_3 = e0
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | SIMP: (119) implies:
% 195.61/32.60  | | | | | | | | | | | |   (120)  all_52_3 = e0
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | REDUCE: (34), (120) imply:
% 195.61/32.60  | | | | | | | | | | | |   (121)   ~ (all_52_7 = e0)
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | SIMP: (121) implies:
% 195.61/32.60  | | | | | | | | | | | |   (122)   ~ (all_52_7 = e0)
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | REDUCE: (88), (120) imply:
% 195.61/32.60  | | | | | | | | | | | |   (123)   ~ (all_52_11 = e0)
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | SIMP: (123) implies:
% 195.61/32.60  | | | | | | | | | | | |   (124)   ~ (all_52_11 = e0)
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | REDUCE: (7), (120) imply:
% 195.61/32.60  | | | | | | | | | | | |   (125)   ~ (e1 = e0)
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_52_11, e2, e1, e0,
% 195.61/32.60  | | | | | | | | | | | |              simplifying with (51), (114) gives:
% 195.61/32.60  | | | | | | | | | | | |   (126)  all_52_11 = e2
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_52_7, e3, e2, e0,
% 195.61/32.60  | | | | | | | | | | | |              simplifying with (84), (99) gives:
% 195.61/32.60  | | | | | | | | | | | |   (127)  all_52_7 = e3
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | REDUCE: (13), (127) imply:
% 195.61/32.60  | | | | | | | | | | | |   (128)   ~ (all_4_2 = e3)
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | REDUCE: (63), (126) imply:
% 195.61/32.60  | | | | | | | | | | | |   (129)   ~ (all_52_8 = e2)
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | REDUCE: (89), (126) imply:
% 195.61/32.60  | | | | | | | | | | | |   (130)   ~ (all_52_9 = e2)
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | BETA: splitting (26) gives:
% 195.61/32.60  | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | |   (131)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 195.61/32.60  | | | | | | | | | | | | |          op(e0, e1) = all_14_1 & $i(all_14_0) &
% 195.61/32.60  | | | | | | | | | | | | |          $i(all_14_1)
% 195.61/32.60  | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | ALPHA: (131) implies:
% 195.61/32.60  | | | | | | | | | | | | |   (132)   ~ (all_14_0 = e2)
% 195.61/32.60  | | | | | | | | | | | | |   (133)  op(e0, e1) = all_14_1
% 195.61/32.60  | | | | | | | | | | | | |   (134)  op(all_14_1, e0) = all_14_0
% 195.61/32.60  | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | BETA: splitting (74) gives:
% 195.61/32.60  | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | |   (135)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 195.61/32.60  | | | | | | | | | | | | | |          op(e0, e1) = all_16_1 & $i(all_16_0) &
% 195.61/32.60  | | | | | | | | | | | | | |          $i(all_16_1)
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | ALPHA: (135) implies:
% 195.61/32.60  | | | | | | | | | | | | | |   (136)   ~ (all_16_0 = e3)
% 195.61/32.60  | | | | | | | | | | | | | |   (137)  op(e0, e1) = all_16_1
% 195.61/32.60  | | | | | | | | | | | | | |   (138)  op(all_16_1, e0) = all_16_0
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with e2, all_16_1, e1, e0,
% 195.61/32.60  | | | | | | | | | | | | | |              simplifying with (114), (137) gives:
% 195.61/32.60  | | | | | | | | | | | | | |   (139)  all_16_1 = e2
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_14_1, all_16_1, e1,
% 195.61/32.60  | | | | | | | | | | | | | |              e0, simplifying with (133), (137) gives:
% 195.61/32.60  | | | | | | | | | | | | | |   (140)  all_16_1 = all_14_1
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | COMBINE_EQS: (139), (140) imply:
% 195.61/32.60  | | | | | | | | | | | | | |   (141)  all_14_1 = e2
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | REDUCE: (138), (139) imply:
% 195.61/32.60  | | | | | | | | | | | | | |   (142)  op(e2, e0) = all_16_0
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | REDUCE: (134), (141) imply:
% 195.61/32.60  | | | | | | | | | | | | | |   (143)  op(e2, e0) = all_14_0
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_52_13, all_14_0, e0,
% 195.61/32.60  | | | | | | | | | | | | | |              e2, simplifying with (42), (143) gives:
% 195.61/32.60  | | | | | | | | | | | | | |   (144)  all_52_13 = all_14_0
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_52_13, all_16_0, e0,
% 195.61/32.60  | | | | | | | | | | | | | |              e2, simplifying with (42), (142) gives:
% 195.61/32.60  | | | | | | | | | | | | | |   (145)  all_52_13 = all_16_0
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | COMBINE_EQS: (144), (145) imply:
% 195.61/32.60  | | | | | | | | | | | | | |   (146)  all_16_0 = all_14_0
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | SIMP: (146) implies:
% 195.61/32.60  | | | | | | | | | | | | | |   (147)  all_16_0 = all_14_0
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | COMBINE_EQS: (9), (144) imply:
% 195.61/32.60  | | | | | | | | | | | | | |   (148)  all_54_7 = all_14_0
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | REDUCE: (29), (144) imply:
% 195.61/32.60  | | | | | | | | | | | | | |   (149)   ~ (all_52_12 = all_14_0)
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | REDUCE: (71), (144) imply:
% 195.61/32.60  | | | | | | | | | | | | | |   (150)   ~ (all_14_0 = all_4_2)
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | REDUCE: (46), (144) imply:
% 195.61/32.60  | | | | | | | | | | | | | |   (151)   ~ (all_14_0 = e1)
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | REDUCE: (136), (147) imply:
% 195.61/32.60  | | | | | | | | | | | | | |   (152)   ~ (all_14_0 = e3)
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 195.61/32.60  | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | |   (153)  all_54_7 = e3
% 195.61/32.60  | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | COMBINE_EQS: (148), (153) imply:
% 195.61/32.60  | | | | | | | | | | | | | | |   (154)  all_14_0 = e3
% 195.61/32.60  | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | REDUCE: (152), (154) imply:
% 195.61/32.60  | | | | | | | | | | | | | | |   (155)  $false
% 195.61/32.60  | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | CLOSE: (155) is inconsistent.
% 195.61/32.60  | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | Case 2:
% 195.61/32.60  | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | |   (156)   ~ (all_54_7 = e3)
% 195.61/32.60  | | | | | | | | | | | | | | |   (157)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.61/32.60  | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 195.61/32.60  | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | |   (158)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 195.61/32.60  | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 195.61/32.60  | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (22), (23), (24), (25), (28), (55), (60),
% 195.61/32.60  | | | | | | | | | | | | | | | |            (69), (80), (85), (87), (92), (158) are
% 195.61/32.60  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1457.
% 195.61/32.60  | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | Case 2:
% 195.61/32.60  | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | |   (159)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 195.61/32.60  | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 195.61/32.60  | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 195.61/32.60  | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | |   (160)  all_56_5 = e3 & op(e2, e1) = e3
% 195.61/32.60  | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 195.61/32.60  | | | | | | | | | | | | | | | | |   (161)  all_56_5 = e3
% 195.61/32.60  | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 195.61/32.60  | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | |   (162)  all_54_7 = e2
% 195.61/32.60  | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (162) imply:
% 195.61/32.60  | | | | | | | | | | | | | | | | | |   (163)  all_14_0 = e2
% 195.61/32.60  | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | REDUCE: (132), (163) imply:
% 195.61/32.60  | | | | | | | | | | | | | | | | | |   (164)  $false
% 195.61/32.60  | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 195.61/32.60  | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.60  | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | |   (165)   ~ (all_54_7 = e2)
% 195.61/32.60  | | | | | | | | | | | | | | | | | |   (166)  all_54_7 = e1 | all_54_7 = e0
% 195.61/32.60  | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 195.61/32.60  | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | |   (167)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 195.61/32.60  | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | |   (168)  all_56_9 = e2 & op(e3, e0) = e2
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (44), (76), (168) are inconsistent by
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | |            sub-proof #737.
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | |   (169)  all_56_10 = e2 & op(e2, e0) = e2
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | |   (170)  all_56_10 = e2
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19) gives:
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | |   (171)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 195.61/32.60  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |   (172)  all_56_2 = e0 & op(e2, e3) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (62), (172) are inconsistent by sub-proof
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |            #1858.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |   (173)  all_56_3 = e0 & op(e2, e2) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |   (174)  op(e2, e2) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_54_7 = e1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (175) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_14_0 = e1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (176) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |   (177)  $false
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (177) is inconsistent.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_54_7 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (178) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_14_0 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (179) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |   (180)   ~ (all_4_2 = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (180) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |   (181)   ~ (all_4_2 = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (25), (28), (52), (55), (65), (174), (181)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1220.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | |   (182)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |   (183)  all_56_5 = e0 & op(e2, e1) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (161), (183) are inconsistent by sub-proof
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |            #1499.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |   (184)  all_56_10 = e0 & op(e2, e0) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (170), (184) are inconsistent by sub-proof
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |            #1019.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | |   (185)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | |   (186)  all_56_11 = e2 & op(e1, e0) = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | |   (187)  all_56_11 = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | |   (188)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |   (189)  all_56_6 = e0 & op(e1, e3) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (92), (189) are inconsistent by sub-proof
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |            #1856.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |   (190)  all_56_7 = e0 & op(e1, e2) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | |   (191)  all_56_7 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (25), (57), (60), (85), (192) are
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #622.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |   (193)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_56_4 = e0 & op(e3, e1) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_56_4 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  all_56_1 = e2 & op(e3, e2) = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  op(e3, e2) = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (27), (38), (198) are inconsistent by
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #825.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_56_3 = e2 & op(e2, e2) = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  op(e2, e2) = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_54_7 = e1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (201) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_14_0 = e1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (202) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  $false
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (203) is inconsistent.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_54_7 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (204) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_14_0 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (205) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)   ~ (all_52_12 = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (205) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)   ~ (all_4_2 = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (207) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)   ~ (all_4_2 = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (205) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)   ~ (e3 = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (205) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)   ~ (e2 = e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_54_5 = e3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (211) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_4_2 = e3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (212) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  $false
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)   ~ (all_54_5 = e3)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_54_3 = e3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (216) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_52_12 = e3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (217) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)   ~ (all_52_8 = e3)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (8), (14), (25), (28), (52), (55), (65),
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (73), (80), (82), (86), (200), (208), (215),
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219) are inconsistent by sub-proof #620.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  op(e3, e1) = e3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (79), (218), (224) are inconsistent by
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1759.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (225) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  op(e3, e3) = e1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (24), (25), (62), (69), (85), (92), (106),
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (226) are inconsistent by sub-proof #619.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (228) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  op(e2, e1) = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (52), (65), (77), (78), (208), (215), (229)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1940.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  op(e2, e2) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (52), (65), (208), (215), (232) are
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1938.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  op(e1, e1) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (25), (32), (33), (60), (66), (69), (80),
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (87), (195), (234) are inconsistent by
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (57), (85), (236) are inconsistent by
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #819.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  op(e1, e1) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (25), (32), (33), (60), (66), (69), (80),
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (87), (195), (239) are inconsistent by
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (241) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  op(e1, e0) = e1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (43), (53), (242) are inconsistent by
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (18), (24), (25), (28), (32), (33),
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (51), (52), (55), (60), (62), (69), (80), (85),
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (87), (92), (99), (106), (161), (244) are
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #617.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)   ~ (all_54_3 = e3)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (245) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)   ~ (all_52_12 = e3)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (24), (25), (60), (61), (62), (69),
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (70), (76), (80), (85), (87), (161), (187), (246)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1083.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_56_7 = e2 & op(e1, e2) = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (191), (248) are inconsistent by sub-proof
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1262.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_13 = e2 & op(e0, e2) = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_56_13 = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (98), (250) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  e3 = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (92), (251) imply:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_56_6 = e2
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (24), (25), (32), (33), (39), (43),
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            (51), (60), (69), (80), (83), (85), (87), (161),
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (252) are inconsistent by sub-proof #1090.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_56_9 = e0 & op(e3, e0) = e0
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (76), (148), (149), (151), (166), (253) are
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #615.
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.61  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |   (254)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |   (255)  all_56_8 = e0 & op(e1, e1) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |   (256)  op(e1, e1) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (24), (25), (28), (32), (33), (49), (54),
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            (55), (60), (62), (66), (69), (70), (79), (80),
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            (85), (87), (113), (256) are inconsistent by
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #660.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |   (257)  all_56_11 = e0 & op(e1, e0) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (187), (257) are inconsistent by sub-proof
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            #1774.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (258)  all_56_15 = e2 & op(e0, e0) = e2
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (259)  op(e0, e0) = e2
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (24), (25), (37), (40), (51), (60),
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |            (68), (69), (80), (85), (87), (88), (113), (259)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1228.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | |   (260)  all_56_10 = e3 & op(e2, e0) = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (136), (142), (260) are inconsistent by
% 195.61/32.62  | | | | | | | | | | | | | | | | |            sub-proof #614.
% 195.61/32.62  | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | |   (261)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 195.61/32.62  | | | | | | | | | | | | | |          $i(all_16_1)
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | ALPHA: (261) implies:
% 195.61/32.62  | | | | | | | | | | | | | |   (262)   ~ (all_16_1 = e2)
% 195.61/32.62  | | | | | | | | | | | | | |   (263)  op(e0, e1) = all_16_1
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | REF_CLOSE: (25), (26), (114), (262), (263) are inconsistent
% 195.61/32.62  | | | | | | | | | | | | | |            by sub-proof #612.
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | |   (264)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 195.61/32.62  | | | | | | | | | | | | |          $i(all_14_1)
% 195.61/32.62  | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | ALPHA: (264) implies:
% 195.61/32.62  | | | | | | | | | | | | |   (265)   ~ (all_14_1 = e3)
% 195.61/32.62  | | | | | | | | | | | | |   (266)  op(e0, e1) = all_14_1
% 195.61/32.62  | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | BETA: splitting (74) gives:
% 195.61/32.62  | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | |   (267)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 &
% 195.61/32.62  | | | | | | | | | | | | | |          op(e0, e1) = all_16_1 & $i(all_16_0) &
% 195.61/32.62  | | | | | | | | | | | | | |          $i(all_16_1)
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | ALPHA: (267) implies:
% 195.61/32.62  | | | | | | | | | | | | | |   (268)   ~ (all_16_0 = e3)
% 195.61/32.62  | | | | | | | | | | | | | |   (269)  op(e0, e1) = all_16_1
% 195.61/32.62  | | | | | | | | | | | | | |   (270)  op(all_16_1, e0) = all_16_0
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with e2, all_16_1, e1, e0,
% 195.61/32.62  | | | | | | | | | | | | | |              simplifying with (114), (269) gives:
% 195.61/32.62  | | | | | | | | | | | | | |   (271)  all_16_1 = e2
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_14_1, all_16_1, e1,
% 195.61/32.62  | | | | | | | | | | | | | |              e0, simplifying with (266), (269) gives:
% 195.61/32.62  | | | | | | | | | | | | | |   (272)  all_16_1 = all_14_1
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | COMBINE_EQS: (271), (272) imply:
% 195.61/32.62  | | | | | | | | | | | | | |   (273)  all_14_1 = e2
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | REDUCE: (265), (273) imply:
% 195.61/32.62  | | | | | | | | | | | | | |   (274)   ~ (e3 = e2)
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | REDUCE: (270), (271) imply:
% 195.61/32.62  | | | | | | | | | | | | | |   (275)  op(e2, e0) = all_16_0
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_52_13, all_16_0, e0,
% 195.61/32.62  | | | | | | | | | | | | | |              e2, simplifying with (42), (275) gives:
% 195.61/32.62  | | | | | | | | | | | | | |   (276)  all_52_13 = all_16_0
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | COMBINE_EQS: (9), (276) imply:
% 195.61/32.62  | | | | | | | | | | | | | |   (277)  all_54_7 = all_16_0
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | REDUCE: (29), (276) imply:
% 195.61/32.62  | | | | | | | | | | | | | |   (278)   ~ (all_52_12 = all_16_0)
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | REDUCE: (71), (276) imply:
% 195.61/32.62  | | | | | | | | | | | | | |   (279)   ~ (all_16_0 = all_4_2)
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | REDUCE: (46), (276) imply:
% 195.61/32.62  | | | | | | | | | | | | | |   (280)   ~ (all_16_0 = e1)
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 195.61/32.62  | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | |   (281)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 195.61/32.62  | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 195.61/32.62  | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | |   (282)  all_56_9 = e3 & op(e3, e0) = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 195.61/32.62  | | | | | | | | | | | | | | | |   (283)  op(e3, e0) = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | |   (284)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 195.61/32.62  | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (25), (57), (60), (85), (284) are
% 195.61/32.62  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #622.
% 195.61/32.62  | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | |   (285)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 195.61/32.62  | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | |   (286)  all_56_4 = e0 & op(e3, e1) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 195.61/32.62  | | | | | | | | | | | | | | | | | |   (287)  all_56_4 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | |   (288)  op(e3, e1) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | |   (289)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (22), (23), (24), (25), (28), (55), (60),
% 195.61/32.62  | | | | | | | | | | | | | | | | | | |            (69), (80), (85), (87), (92), (289) are
% 195.61/32.62  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1457.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | |   (290)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (291)  all_56_5 = e3 & op(e2, e1) = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (292)  all_56_5 = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (293)  op(e2, e1) = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_52_9, e3, e1, e2,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |              simplifying with (78), (293) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (294)  all_52_9 = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_52_12, e3, e0, e3,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |              simplifying with (76), (283) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (295)  all_52_12 = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_52_8, e0, e1, e3,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |              simplifying with (79), (288) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (296)  all_52_8 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (295), (296) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (297)   ~ (e3 = e0)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (296) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (298)   ~ (e2 = e0)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (295) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | |   (299)   ~ (all_16_0 = e3)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |   (300)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |   (301)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (67), (86), (302) are inconsistent by
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1784.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |   (303)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (25), (28), (55), (73), (303) are
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1973.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |   (304)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |   (305)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (25), (80), (305) are inconsistent by
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #621.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (25), (28), (52), (82), (306) are
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1968.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |   (307)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |   (308)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |   (309)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (310) implies:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |   (311)  op(e3, e1) = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (56), (76), (79), (283), (311) are
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1912.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |   (313)  op(e3, e3) = e1
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (24), (25), (62), (69), (85), (92), (106),
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            (313) are inconsistent by sub-proof #619.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |   (314)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (315) implies:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |   (316)  op(e2, e1) = e2
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (78), (130), (316) are inconsistent by
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1942.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |   (317)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (318) implies:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (319)   ~ (all_57_11 = e2)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  op(e2, e0) = all_57_11
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  op(e2, e2) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_16_0, all_57_11, e0,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (275), (320) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_57_11 = all_16_0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_4_2, e0, e2, e2,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (28), (321) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_4_2 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (322) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (324)   ~ (all_16_0 = e2)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (323) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (325)   ~ (all_16_0 = e0)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_54_7 = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (326) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_16_0 = e3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (327) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  $false
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_54_7 = e2
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (330) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_16_0 = e2
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (324), (331) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  $false
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (332) is inconsistent.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_54_7 = e1 | all_54_7 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_54_7 = e1
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (334) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_16_0 = e1
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (280), (335) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  $false
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (336) is inconsistent.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_54_7 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (337) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_16_0 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (325), (338) imply:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  $false
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (339) is inconsistent.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  op(e1, e1) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (25), (32), (33), (60), (66), (69), (80),
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (87), (287), (341) are inconsistent by
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |   (342)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |   (343)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (57), (85), (343) are inconsistent by
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #819.
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |   (344)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.61/32.62  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |   (346)  op(e1, e1) = e0
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (25), (32), (33), (60), (66), (69), (80),
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |            (85), (87), (287), (346) are inconsistent by
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |   (347)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (348) implies:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  op(e1, e0) = e1
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (43), (53), (349) are inconsistent by
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (18), (24), (25), (28), (32), (33),
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            (51), (52), (55), (60), (62), (69), (80), (85),
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            (87), (92), (99), (106), (292), (351) are
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #617.
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | |   (352)  all_56_10 = e3 & op(e2, e0) = e3
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (268), (275), (352) are inconsistent by
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | |            sub-proof #614.
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.63  | | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | End of split
% 195.61/32.63  | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | Case 2:
% 195.61/32.63  | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | |   (353)  all_56_9 = e0 & op(e3, e0) = e0
% 195.61/32.63  | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | ALPHA: (353) implies:
% 195.61/32.63  | | | | | | | | | | | | | | | | | |   (354)  op(e3, e0) = e0
% 195.61/32.63  | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (87), (283), (354) are inconsistent by
% 195.61/32.63  | | | | | | | | | | | | | | | | | |            sub-proof #1793.
% 195.61/32.63  | | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | | End of split
% 195.61/32.63  | | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | End of split
% 195.61/32.63  | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | Case 2:
% 195.61/32.63  | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | |   (355)  all_56_10 = e3 & op(e2, e0) = e3
% 195.61/32.63  | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | | REF_CLOSE: (25), (268), (275), (355) are inconsistent by
% 195.61/32.63  | | | | | | | | | | | | | | | |            sub-proof #614.
% 195.61/32.63  | | | | | | | | | | | | | | | | 
% 195.61/32.63  | | | | | | | | | | | | | | | End of split
% 195.61/32.63  | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | Case 2:
% 195.68/32.63  | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | |   (356)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 195.68/32.63  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 195.68/32.63  | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 195.68/32.63  | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | | Case 1:
% 195.68/32.63  | | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | | |   (357)  all_56_11 = e3 & op(e1, e0) = e3
% 195.68/32.63  | | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | | | REF_CLOSE: (25), (39), (43), (357) are inconsistent by
% 195.68/32.63  | | | | | | | | | | | | | | | |            sub-proof #1407.
% 195.68/32.63  | | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | | Case 2:
% 195.68/32.63  | | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | | |   (358)  all_56_15 = e3 & op(e0, e0) = e3
% 195.68/32.63  | | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 195.68/32.63  | | | | | | | | | | | | | | | |   (359)  all_56_15 = e3
% 195.68/32.63  | | | | | | | | | | | | | | | |   (360)  op(e0, e0) = e3
% 195.68/32.63  | | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (24), (25), (37), (41), (51), (60), (68),
% 195.68/32.63  | | | | | | | | | | | | | | | |            (69), (80), (85), (87), (98), (359), (360) are
% 195.68/32.63  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1113.
% 195.68/32.63  | | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | | End of split
% 195.68/32.63  | | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | End of split
% 195.68/32.63  | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | Case 2:
% 195.68/32.63  | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | |   (361)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 &
% 195.68/32.63  | | | | | | | | | | | | | |          $i(all_16_1)
% 195.68/32.63  | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | ALPHA: (361) implies:
% 195.68/32.63  | | | | | | | | | | | | | |   (362)   ~ (all_16_1 = e2)
% 195.68/32.63  | | | | | | | | | | | | | |   (363)  op(e0, e1) = all_16_1
% 195.68/32.63  | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | | REF_CLOSE: (25), (26), (114), (362), (363) are inconsistent
% 195.68/32.63  | | | | | | | | | | | | | |            by sub-proof #612.
% 195.68/32.63  | | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | | End of split
% 195.68/32.63  | | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | | End of split
% 195.68/32.63  | | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | | End of split
% 195.68/32.63  | | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | End of split
% 195.68/32.63  | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | Case 2:
% 195.68/32.63  | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | |   (364)  all_56_15 = e2 & op(e0, e0) = e2
% 195.68/32.63  | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | ALPHA: (364) implies:
% 195.68/32.63  | | | | | | | | | |   (365)  op(e0, e0) = e2
% 195.68/32.63  | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | | REF_CLOSE: (20), (25), (69), (365) are inconsistent by
% 195.68/32.63  | | | | | | | | | |            sub-proof #1780.
% 195.68/32.63  | | | | | | | | | | 
% 195.68/32.63  | | | | | | | | | End of split
% 195.68/32.63  | | | | | | | | | 
% 195.68/32.63  | | | | | | | | End of split
% 195.68/32.63  | | | | | | | | 
% 195.68/32.63  | | | | | | | End of split
% 195.68/32.63  | | | | | | | 
% 195.68/32.63  | | | | | | End of split
% 195.68/32.63  | | | | | | 
% 195.68/32.63  | | | | | End of split
% 195.68/32.63  | | | | | 
% 195.68/32.63  | | | | End of split
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | End of split
% 195.68/32.63  | | | 
% 195.68/32.63  | | Case 2:
% 195.68/32.63  | | | 
% 195.68/32.63  | | |   (366)  all_56_7 = e3 & op(e1, e2) = e3
% 195.68/32.63  | | | 
% 195.68/32.63  | | | ALPHA: (366) implies:
% 195.68/32.63  | | |   (367)  op(e1, e2) = e3
% 195.68/32.63  | | | 
% 195.68/32.63  | | | REF_CLOSE: (8), (25), (64), (367) are inconsistent by sub-proof #1408.
% 195.68/32.63  | | | 
% 195.68/32.63  | | End of split
% 195.68/32.63  | | 
% 195.68/32.63  | Case 2:
% 195.68/32.63  | | 
% 195.68/32.63  | |   (368)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 195.68/32.63  | |            e3)
% 195.68/32.63  | | 
% 195.68/32.63  | | REF_CLOSE: (4), (25), (39), (43), (80), (368) are inconsistent by sub-proof
% 195.68/32.63  | |            #1055.
% 195.68/32.63  | | 
% 195.68/32.63  | End of split
% 195.68/32.63  | 
% 195.68/32.63  End of proof
% 195.68/32.63  
% 195.68/32.63  Sub-proof #612 shows that the following formulas are inconsistent:
% 195.68/32.63  ----------------------------------------------------------------
% 195.68/32.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.63    (2)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) = all_14_1
% 195.68/32.63           & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e0, e1) =
% 195.68/32.63           all_14_1 & $i(all_14_1))
% 195.68/32.63    (3)  op(e0, e1) = e2
% 195.68/32.63    (4)  op(e0, e1) = all_16_1
% 195.68/32.63    (5)   ~ (all_16_1 = e2)
% 195.68/32.63  
% 195.68/32.63  Begin of proof
% 195.68/32.63  | 
% 195.68/32.63  | BETA: splitting (2) gives:
% 195.68/32.63  | 
% 195.68/32.63  | Case 1:
% 195.68/32.63  | | 
% 195.68/32.63  | |   (6)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 195.68/32.63  | |        all_14_1 & $i(all_14_0) & $i(all_14_1)
% 195.68/32.63  | | 
% 195.68/32.63  | | ALPHA: (6) implies:
% 195.68/32.63  | |   (7)  op(e0, e1) = all_14_1
% 195.68/32.63  | | 
% 195.68/32.63  | | REF_CLOSE: (1), (3), (4), (5), (7) are inconsistent by sub-proof #613.
% 195.68/32.63  | | 
% 195.68/32.63  | Case 2:
% 195.68/32.63  | | 
% 195.68/32.63  | |   (8)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 & $i(all_14_1)
% 195.68/32.63  | | 
% 195.68/32.63  | | ALPHA: (8) implies:
% 195.68/32.63  | |   (9)  op(e0, e1) = all_14_1
% 195.68/32.63  | | 
% 195.68/32.63  | | REF_CLOSE: (1), (3), (4), (5), (9) are inconsistent by sub-proof #613.
% 195.68/32.63  | | 
% 195.68/32.63  | End of split
% 195.68/32.63  | 
% 195.68/32.63  End of proof
% 195.68/32.63  
% 195.68/32.63  Sub-proof #613 shows that the following formulas are inconsistent:
% 195.68/32.63  ----------------------------------------------------------------
% 195.68/32.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.63    (2)  op(e0, e1) = e2
% 195.68/32.63    (3)  op(e0, e1) = all_16_1
% 195.68/32.63    (4)   ~ (all_16_1 = e2)
% 195.68/32.63    (5)  op(e0, e1) = all_14_1
% 195.68/32.63  
% 195.68/32.63  Begin of proof
% 195.68/32.63  | 
% 195.68/32.63  | GROUND_INST: instantiating (1) with e2, all_16_1, e1, e0, simplifying with
% 195.68/32.63  |              (2), (3) gives:
% 195.68/32.63  |   (6)  all_16_1 = e2
% 195.68/32.63  | 
% 195.68/32.63  | GROUND_INST: instantiating (1) with all_14_1, all_16_1, e1, e0, simplifying
% 195.68/32.63  |              with (3), (5) gives:
% 195.68/32.63  |   (7)  all_16_1 = all_14_1
% 195.68/32.63  | 
% 195.68/32.63  | COMBINE_EQS: (6), (7) imply:
% 195.68/32.63  |   (8)  all_14_1 = e2
% 195.68/32.63  | 
% 195.68/32.63  | REDUCE: (4), (6) imply:
% 195.68/32.63  |   (9)  $false
% 195.68/32.63  | 
% 195.68/32.63  | CLOSE: (9) is inconsistent.
% 195.68/32.63  | 
% 195.68/32.63  End of proof
% 195.68/32.63  
% 195.68/32.63  Sub-proof #614 shows that the following formulas are inconsistent:
% 195.68/32.63  ----------------------------------------------------------------
% 195.68/32.63    (1)  all_56_10 = e3 & op(e2, e0) = e3
% 195.68/32.63    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.63    (3)  op(e2, e0) = all_16_0
% 195.68/32.63    (4)   ~ (all_16_0 = e3)
% 195.68/32.63  
% 195.68/32.63  Begin of proof
% 195.68/32.63  | 
% 195.68/32.63  | ALPHA: (1) implies:
% 195.68/32.63  |   (5)  op(e2, e0) = e3
% 195.68/32.63  | 
% 195.68/32.63  | GROUND_INST: instantiating (2) with all_16_0, e3, e0, e2, simplifying with
% 195.68/32.63  |              (3), (5) gives:
% 195.68/32.63  |   (6)  all_16_0 = e3
% 195.68/32.63  | 
% 195.68/32.63  | REDUCE: (4), (6) imply:
% 195.68/32.63  |   (7)  $false
% 195.68/32.63  | 
% 195.68/32.63  | CLOSE: (7) is inconsistent.
% 195.68/32.63  | 
% 195.68/32.63  End of proof
% 195.68/32.63  
% 195.68/32.63  Sub-proof #615 shows that the following formulas are inconsistent:
% 195.68/32.63  ----------------------------------------------------------------
% 195.68/32.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.63    (2)  all_54_7 = all_14_0
% 195.68/32.63    (3)   ~ (all_52_12 = all_14_0)
% 195.68/32.63    (4)   ~ (all_14_0 = e1)
% 195.68/32.63    (5)  all_56_9 = e0 & op(e3, e0) = e0
% 195.68/32.63    (6)  op(e3, e0) = all_52_12
% 195.68/32.63    (7)  all_54_7 = e1 | all_54_7 = e0
% 195.68/32.63  
% 195.68/32.63  Begin of proof
% 195.68/32.63  | 
% 195.68/32.63  | ALPHA: (5) implies:
% 195.68/32.63  |   (8)  op(e3, e0) = e0
% 195.68/32.63  | 
% 195.68/32.63  | BETA: splitting (7) gives:
% 195.68/32.63  | 
% 195.68/32.63  | Case 1:
% 195.68/32.63  | | 
% 195.68/32.63  | |   (9)  all_54_7 = e1
% 195.68/32.63  | | 
% 195.68/32.63  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #616.
% 195.68/32.63  | | 
% 195.68/32.63  | Case 2:
% 195.68/32.63  | | 
% 195.68/32.63  | |   (10)  all_54_7 = e0
% 195.68/32.63  | | 
% 195.68/32.63  | | COMBINE_EQS: (2), (10) imply:
% 195.68/32.63  | |   (11)  all_14_0 = e0
% 195.68/32.63  | | 
% 195.68/32.63  | | SIMP: (11) implies:
% 195.68/32.63  | |   (12)  all_14_0 = e0
% 195.68/32.63  | | 
% 195.68/32.63  | | REDUCE: (3), (12) imply:
% 195.68/32.63  | |   (13)   ~ (all_52_12 = e0)
% 195.68/32.63  | | 
% 195.68/32.63  | | REF_CLOSE: (1), (6), (8), (13) are inconsistent by sub-proof #1799.
% 195.68/32.63  | | 
% 195.68/32.63  | End of split
% 195.68/32.63  | 
% 195.68/32.63  End of proof
% 195.68/32.63  
% 195.68/32.63  Sub-proof #616 shows that the following formulas are inconsistent:
% 195.68/32.63  ----------------------------------------------------------------
% 195.68/32.63    (1)  all_54_7 = all_14_0
% 195.68/32.63    (2)  all_54_7 = e1
% 195.68/32.63    (3)   ~ (all_14_0 = e1)
% 195.68/32.63  
% 195.68/32.63  Begin of proof
% 195.68/32.63  | 
% 195.68/32.63  | COMBINE_EQS: (1), (2) imply:
% 195.68/32.63  |   (4)  all_14_0 = e1
% 195.68/32.63  | 
% 195.68/32.63  | SIMP: (4) implies:
% 195.68/32.63  |   (5)  all_14_0 = e1
% 195.68/32.63  | 
% 195.68/32.63  | REDUCE: (3), (5) imply:
% 195.68/32.63  |   (6)  $false
% 195.68/32.63  | 
% 195.68/32.63  | CLOSE: (6) is inconsistent.
% 195.68/32.63  | 
% 195.68/32.63  End of proof
% 195.68/32.63  
% 195.68/32.63  Sub-proof #617 shows that the following formulas are inconsistent:
% 195.68/32.63  ----------------------------------------------------------------
% 195.68/32.63    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.68/32.63         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.68/32.63    (2)   ~ (all_52_11 = e1)
% 195.68/32.63    (3)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.68/32.63         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.68/32.63    (4)   ~ (e3 = e2)
% 195.68/32.63    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.63    (6)  op(e2, e2) = all_4_2
% 195.68/32.63    (7)  all_56_5 = e3
% 195.68/32.63    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.68/32.63         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.68/32.63    (9)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.68/32.63         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.68/32.63    (10)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.68/32.63              e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.68/32.63            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.68/32.63             ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.68/32.63              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.68/32.63            (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.68/32.63            all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 195.68/32.63            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 195.68/32.63            = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.68/32.63          (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.68/32.63              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.68/32.63            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 195.68/32.63             ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 195.68/32.63              e1) = e0 & $i(all_57_7))
% 195.68/32.63    (11)  op(e0, e1) = all_52_11
% 195.68/32.63    (12)   ~ (all_4_2 = e1)
% 195.68/32.63    (13)   ~ (all_4_2 = e3)
% 195.68/32.63    (14)   ~ (e1 = e0)
% 195.68/32.63    (15)  all_56_2 = e1
% 195.68/32.63    (16)  all_56_6 = e3
% 195.68/32.63    (17)   ~ (e2 = e1)
% 195.68/32.63    (18)  all_56_12 = e0
% 195.68/32.63    (19)   ~ (e3 = e1)
% 195.68/32.63    (20)   ~ (e2 = e0)
% 195.68/32.63    (21)  op(e0, e2) = e3
% 195.68/32.63    (22)   ~ (e3 = e0)
% 195.68/32.63  
% 195.68/32.63  Begin of proof
% 195.68/32.63  | 
% 195.68/32.63  | BETA: splitting (10) gives:
% 195.68/32.63  | 
% 195.68/32.63  | Case 1:
% 195.68/32.63  | | 
% 195.68/32.63  | |   (23)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 195.68/32.63  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.68/32.63  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.68/32.63  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.68/32.63  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 195.68/32.63  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.68/32.63  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.68/32.63  | |           $i(all_57_3))
% 195.68/32.63  | | 
% 195.68/32.63  | | BETA: splitting (23) gives:
% 195.68/32.63  | | 
% 195.68/32.63  | | Case 1:
% 195.68/32.63  | | | 
% 195.68/32.63  | | |   (24)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.68/32.63  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.68/32.63  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 195.68/32.63  | | | 
% 195.68/32.63  | | | ALPHA: (24) implies:
% 195.68/32.63  | | |   (25)  op(e2, e2) = e3
% 195.68/32.63  | | | 
% 195.68/32.63  | | | REF_CLOSE: (5), (6), (13), (25) are inconsistent by sub-proof #1975.
% 195.68/32.63  | | | 
% 195.68/32.63  | | Case 2:
% 195.68/32.63  | | | 
% 195.68/32.63  | | |   (26)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.68/32.63  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.68/32.63  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.68/32.63  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.68/32.63  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.68/32.63  | | | 
% 195.68/32.63  | | | BETA: splitting (26) gives:
% 195.68/32.63  | | | 
% 195.68/32.63  | | | Case 1:
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | |   (27)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.68/32.63  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.68/32.63  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | | ALPHA: (27) implies:
% 195.68/32.63  | | | |   (28)  op(e1, e1) = e3
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (11), (14), (17), (19),
% 195.68/32.63  | | | |            (20), (22), (28) are inconsistent by sub-proof #1092.
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | Case 2:
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | |   (29)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.68/32.63  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.68/32.63  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | | ALPHA: (29) implies:
% 195.68/32.63  | | | |   (30)  op(e0, e2) = e0
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | | REF_CLOSE: (5), (21), (22), (30) are inconsistent by sub-proof #618.
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | End of split
% 195.68/32.63  | | | 
% 195.68/32.63  | | End of split
% 195.68/32.63  | | 
% 195.68/32.63  | Case 2:
% 195.68/32.63  | | 
% 195.68/32.63  | |   (31)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.68/32.63  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.68/32.63  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.68/32.63  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.68/32.63  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.68/32.63  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.68/32.63  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.68/32.63  | |           $i(all_57_7))
% 195.68/32.63  | | 
% 195.68/32.63  | | BETA: splitting (31) gives:
% 195.68/32.63  | | 
% 195.68/32.63  | | Case 1:
% 195.68/32.63  | | | 
% 195.68/32.63  | | |   (32)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.68/32.63  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.68/32.63  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 195.68/32.63  | | | 
% 195.68/32.63  | | | ALPHA: (32) implies:
% 195.68/32.63  | | |   (33)  op(e0, e2) = e0
% 195.68/32.63  | | | 
% 195.68/32.63  | | | REF_CLOSE: (5), (21), (22), (33) are inconsistent by sub-proof #618.
% 195.68/32.63  | | | 
% 195.68/32.63  | | Case 2:
% 195.68/32.63  | | | 
% 195.68/32.63  | | |   (34)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.68/32.63  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.68/32.63  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.68/32.63  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.68/32.63  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.68/32.63  | | | 
% 195.68/32.63  | | | BETA: splitting (34) gives:
% 195.68/32.63  | | | 
% 195.68/32.63  | | | Case 1:
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | |   (35)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.68/32.63  | | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.68/32.63  | | | |         op(e0, e1) = e0 & $i(all_57_6)
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | | ALPHA: (35) implies:
% 195.68/32.63  | | | |   (36)  op(e3, e3) = e1
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | | REF_CLOSE: (1), (4), (5), (15), (16), (17), (18), (20), (36) are
% 195.68/32.63  | | | |            inconsistent by sub-proof #619.
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | Case 2:
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | |   (37)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.68/32.63  | | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.68/32.63  | | | |         op(e0, e1) = e0 & $i(all_57_7)
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | | ALPHA: (37) implies:
% 195.68/32.63  | | | |   (38)  op(e2, e2) = e1
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | | REF_CLOSE: (5), (6), (12), (38) are inconsistent by sub-proof #1969.
% 195.68/32.63  | | | | 
% 195.68/32.63  | | | End of split
% 195.68/32.63  | | | 
% 195.68/32.63  | | End of split
% 195.68/32.63  | | 
% 195.68/32.63  | End of split
% 195.68/32.63  | 
% 195.68/32.63  End of proof
% 195.68/32.63  
% 195.68/32.63  Sub-proof #618 shows that the following formulas are inconsistent:
% 195.68/32.63  ----------------------------------------------------------------
% 195.68/32.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.63    (2)  op(e0, e2) = e3
% 195.68/32.63    (3)  op(e0, e2) = e0
% 195.68/32.63    (4)   ~ (e3 = e0)
% 195.68/32.63  
% 195.68/32.63  Begin of proof
% 195.68/32.63  | 
% 195.68/32.63  | GROUND_INST: instantiating (1) with e3, e0, e2, e0, simplifying with (2), (3)
% 195.68/32.63  |              gives:
% 195.68/32.63  |   (5)  e3 = e0
% 195.68/32.63  | 
% 195.68/32.63  | REDUCE: (4), (5) imply:
% 195.68/32.63  |   (6)  $false
% 195.68/32.63  | 
% 195.68/32.63  | CLOSE: (6) is inconsistent.
% 195.68/32.63  | 
% 195.68/32.63  End of proof
% 195.68/32.63  
% 195.68/32.63  Sub-proof #619 shows that the following formulas are inconsistent:
% 195.68/32.63  ----------------------------------------------------------------
% 195.68/32.63    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.68/32.63         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.68/32.63    (2)   ~ (e3 = e2)
% 195.68/32.63    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.63    (4)  op(e3, e3) = e1
% 195.68/32.63    (5)  all_56_2 = e1
% 195.68/32.63    (6)  all_56_6 = e3
% 195.68/32.63    (7)   ~ (e2 = e1)
% 195.68/32.63    (8)  all_56_12 = e0
% 195.68/32.63    (9)   ~ (e2 = e0)
% 195.68/32.63  
% 195.68/32.63  Begin of proof
% 195.68/32.63  | 
% 195.68/32.63  | BETA: splitting (1) gives:
% 195.68/32.63  | 
% 195.68/32.63  | Case 1:
% 195.68/32.63  | | 
% 195.68/32.63  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 195.68/32.63  | |           e2)
% 195.68/32.63  | | 
% 195.68/32.63  | | REF_CLOSE: (3), (4), (5), (7), (10) are inconsistent by sub-proof #1854.
% 195.68/32.63  | | 
% 195.68/32.63  | Case 2:
% 195.68/32.63  | | 
% 195.68/32.63  | |   (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 195.68/32.63  | |           e2)
% 195.68/32.63  | | 
% 195.68/32.63  | | REF_CLOSE: (2), (6), (8), (9), (11) are inconsistent by sub-proof #1851.
% 195.68/32.63  | | 
% 195.68/32.63  | End of split
% 195.68/32.63  | 
% 195.68/32.63  End of proof
% 195.68/32.63  
% 195.68/32.63  Sub-proof #620 shows that the following formulas are inconsistent:
% 195.68/32.63  ----------------------------------------------------------------
% 195.68/32.63    (1)   ~ (all_52_1 = all_4_2)
% 195.68/32.63    (2)  op(e1, e3) = all_52_2
% 195.68/32.63    (3)  op(e1, e2) = all_52_6
% 195.68/32.63    (4)  op(e3, e2) = e1
% 195.68/32.63    (5)   ~ (all_4_2 = e0)
% 195.68/32.63    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.63    (7)  op(e2, e2) = all_4_2
% 195.68/32.63    (8)   ~ (all_4_2 = e1)
% 195.68/32.63    (9)   ~ (all_4_2 = e3)
% 195.68/32.63    (10)  all_54_5 = all_4_2
% 195.68/32.63    (11)   ~ (e2 = e1)
% 195.68/32.63    (12)   ~ (all_52_2 = e1)
% 195.68/32.63    (13)  op(e2, e2) = e2
% 195.68/32.63    (14)   ~ (e3 = e1)
% 195.68/32.63    (15)   ~ (all_52_6 = e1)
% 195.68/32.63    (16)  op(e2, e3) = all_52_1
% 195.68/32.63    (17)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.68/32.63    (18)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.68/32.63              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.68/32.63            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.68/32.63            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.68/32.63            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.68/32.63            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.68/32.63            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.68/32.63            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.68/32.63            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.68/32.63            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.68/32.63            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.68/32.63            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.68/32.63            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.68/32.63            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.68/32.63            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.68/32.63            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.68/32.63            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.68/32.63            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.68/32.63            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.68/32.63            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.68/32.63            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.68/32.63            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.68/32.63            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.68/32.63            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.68/32.63            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.68/32.63            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.68/32.63            $i(all_57_10))
% 195.68/32.63  
% 195.68/32.63  Begin of proof
% 195.68/32.63  | 
% 195.68/32.63  | BETA: splitting (18) gives:
% 195.68/32.63  | 
% 195.68/32.63  | Case 1:
% 195.68/32.63  | | 
% 195.68/32.63  | |   (19)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 195.68/32.63  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.68/32.63  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 195.68/32.63  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 195.68/32.63  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.68/32.63  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 195.68/32.63  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 195.68/32.63  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 195.68/32.63  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.68/32.63  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 195.68/32.63  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.68/32.63  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.68/32.63  | | 
% 195.68/32.63  | | BETA: splitting (19) gives:
% 195.68/32.63  | | 
% 195.68/32.64  | | Case 1:
% 195.68/32.64  | | | 
% 195.68/32.64  | | |   (20)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.68/32.64  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.68/32.64  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.68/32.64  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 195.68/32.64  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.68/32.64  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.68/32.64  | | |           $i(all_57_2) & $i(all_57_12))
% 195.68/32.64  | | | 
% 195.68/32.64  | | | REF_CLOSE: (1), (5), (6), (8), (10), (16), (17), (20) are inconsistent by
% 195.68/32.64  | | |            sub-proof #735.
% 195.68/32.64  | | | 
% 195.68/32.64  | | Case 2:
% 195.68/32.64  | | | 
% 195.68/32.64  | | |   (21)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.68/32.64  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.68/32.64  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.68/32.64  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 195.68/32.64  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 195.68/32.64  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.68/32.64  | | |           $i(all_57_2) & $i(all_57_14))
% 195.68/32.64  | | | 
% 195.68/32.64  | | | REF_CLOSE: (2), (6), (7), (9), (12), (21) are inconsistent by sub-proof
% 195.68/32.64  | | |            #1973.
% 195.68/32.64  | | | 
% 195.68/32.64  | | End of split
% 195.68/32.64  | | 
% 195.68/32.64  | Case 2:
% 195.68/32.64  | | 
% 195.68/32.64  | |   (22)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 195.68/32.64  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.68/32.64  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.68/32.64  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 195.68/32.64  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.68/32.64  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 195.68/32.64  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 195.68/32.64  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 195.68/32.64  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.68/32.64  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.68/32.64  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.68/32.64  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.68/32.64  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.68/32.64  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.68/32.64  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.68/32.64  | | 
% 195.68/32.64  | | BETA: splitting (22) gives:
% 195.68/32.64  | | 
% 195.68/32.64  | | Case 1:
% 195.68/32.64  | | | 
% 195.68/32.64  | | |   (23)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.68/32.64  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.68/32.64  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.68/32.64  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 195.68/32.64  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 195.68/32.64  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.68/32.64  | | |           $i(all_57_5) & $i(all_57_10))
% 195.68/32.64  | | | 
% 195.68/32.64  | | | REF_CLOSE: (4), (6), (14), (23) are inconsistent by sub-proof #621.
% 195.68/32.64  | | | 
% 195.68/32.64  | | Case 2:
% 195.68/32.64  | | | 
% 195.68/32.64  | | |   (24)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.68/32.64  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.68/32.64  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.68/32.64  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 195.68/32.64  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 195.68/32.64  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.68/32.64  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 195.68/32.64  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.68/32.64  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.68/32.64  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.68/32.64  | | | 
% 195.68/32.64  | | | REF_CLOSE: (3), (6), (11), (13), (15), (24) are inconsistent by sub-proof
% 195.68/32.64  | | |            #1782.
% 195.68/32.64  | | | 
% 195.68/32.64  | | End of split
% 195.68/32.64  | | 
% 195.68/32.64  | End of split
% 195.68/32.64  | 
% 195.68/32.64  End of proof
% 195.68/32.64  
% 195.68/32.64  Sub-proof #621 shows that the following formulas are inconsistent:
% 195.68/32.64  ----------------------------------------------------------------
% 195.68/32.64    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 195.68/32.64             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.68/32.64           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 195.68/32.64           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.68/32.64           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 195.68/32.64           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 195.68/32.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.64    (3)  op(e3, e2) = e1
% 195.68/32.64    (4)   ~ (e3 = e1)
% 195.68/32.64  
% 195.68/32.64  Begin of proof
% 195.68/32.64  | 
% 195.68/32.64  | BETA: splitting (1) gives:
% 195.68/32.64  | 
% 195.68/32.64  | Case 1:
% 195.68/32.64  | | 
% 195.68/32.64  | |   (5)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 195.68/32.64  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.68/32.64  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 195.68/32.64  | | 
% 195.68/32.64  | | ALPHA: (5) implies:
% 195.68/32.64  | |   (6)  op(e3, e2) = e3
% 195.68/32.64  | | 
% 195.68/32.64  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #739.
% 195.68/32.64  | | 
% 195.68/32.64  | Case 2:
% 195.68/32.64  | | 
% 195.68/32.64  | |   (7)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 195.68/32.64  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.68/32.64  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 195.68/32.64  | | 
% 195.68/32.64  | | ALPHA: (7) implies:
% 195.68/32.64  | |   (8)  op(e3, e2) = e3
% 195.68/32.64  | | 
% 195.68/32.64  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #739.
% 195.68/32.64  | | 
% 195.68/32.64  | End of split
% 195.68/32.64  | 
% 195.68/32.64  End of proof
% 195.68/32.64  
% 195.68/32.64  Sub-proof #622 shows that the following formulas are inconsistent:
% 195.68/32.64  ----------------------------------------------------------------
% 195.68/32.64    (1)  all_56_1 = e1
% 195.68/32.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.64    (3)  op(e3, e3) = e2
% 195.68/32.64    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 195.68/32.64    (5)   ~ (e1 = e0)
% 195.68/32.64    (6)   ~ (e2 = e0)
% 195.68/32.64  
% 195.68/32.64  Begin of proof
% 195.68/32.64  | 
% 195.68/32.64  | BETA: splitting (4) gives:
% 195.68/32.64  | 
% 195.68/32.64  | Case 1:
% 195.68/32.64  | | 
% 195.68/32.64  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 195.68/32.64  | | 
% 195.68/32.64  | | ALPHA: (7) implies:
% 195.68/32.64  | |   (8)  op(e3, e3) = e0
% 195.68/32.64  | | 
% 195.68/32.64  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #833.
% 195.68/32.64  | | 
% 195.68/32.64  | Case 2:
% 195.68/32.64  | | 
% 195.68/32.64  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 195.68/32.64  | | 
% 195.68/32.64  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #1534.
% 195.68/32.64  | | 
% 195.68/32.64  | End of split
% 195.68/32.64  | 
% 195.68/32.64  End of proof
% 195.68/32.64  
% 195.68/32.64  Sub-proof #623 shows that the following formulas are inconsistent:
% 195.68/32.64  ----------------------------------------------------------------
% 195.68/32.64    (1)  op(e1, e2) = all_52_6
% 195.68/32.64    (2)  all_54_6 = all_52_9
% 195.68/32.64    (3)   ~ (e3 = e2)
% 195.68/32.64    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.64    (5)  op(e2, e2) = all_4_2
% 195.68/32.64    (6)   ~ (all_52_9 = e3)
% 195.68/32.64    (7)   ~ (all_52_8 = e3)
% 195.68/32.64    (8)   ~ (all_52_14 = e3)
% 195.68/32.64    (9)  op(e2, e0) = all_52_13
% 195.68/32.64    (10)  op(e1, e0) = all_52_14
% 195.68/32.64    (11)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.68/32.64              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.68/32.64            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.68/32.64            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.68/32.64            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.68/32.64            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.68/32.64            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.68/32.64            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.68/32.64            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.68/32.64            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.68/32.64            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.68/32.64            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.68/32.64            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.68/32.64            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.68/32.64            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.68/32.64            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.68/32.64            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.68/32.64            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.68/32.64            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.68/32.64            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.68/32.64            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.68/32.64            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.68/32.64            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.68/32.64            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.68/32.64            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.68/32.64            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.68/32.64            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.68/32.64            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.68/32.64            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.68/32.64            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.68/32.64            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.68/32.64            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.68/32.64            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.68/32.64            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.68/32.64            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.68/32.64            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.68/32.64            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.68/32.64            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.68/32.64            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.68/32.64            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.68/32.64            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.68/32.64            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.68/32.64            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.68/32.64            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.68/32.64            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.68/32.64            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.68/32.64            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.68/32.64            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.68/32.64              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.68/32.64            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.68/32.64            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.68/32.64              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.68/32.64            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.68/32.64            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.68/32.64                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.68/32.64                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.68/32.64                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.68/32.64                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.68/32.64                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.68/32.64                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.68/32.64                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.68/32.64              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.68/32.64                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.68/32.64                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.68/32.64                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.68/32.64                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.68/32.64                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.68/32.64                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.68/32.64                $i(all_57_7))))
% 195.68/32.64    (12)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.68/32.64    (13)  op(e0, e1) = all_52_11
% 195.68/32.64    (14)   ~ (all_52_12 = e3)
% 195.68/32.64    (15)   ~ (all_4_2 = e3)
% 195.68/32.64    (16)  op(e3, e2) = e3
% 195.68/32.64    (17)  op(e3, e3) = e2
% 195.68/32.64    (18)  all_56_2 = e3
% 195.68/32.64    (19)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.68/32.64          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.68/32.64    (20)   ~ (e1 = e0)
% 195.68/32.64    (21)  all_24_2 = all_4_2
% 195.68/32.64    (22)   ~ (all_52_13 = all_52_14)
% 195.68/32.64    (23)   ~ (all_52_1 = e2)
% 195.68/32.64    (24)   ~ (e2 = e1)
% 195.68/32.64    (25)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.68/32.64          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.68/32.64    (26)  op(e3, e0) = all_52_12
% 195.68/32.64    (27)   ~ (all_52_9 = all_4_2)
% 195.68/32.64    (28)  op(e2, e1) = all_52_9
% 195.68/32.64    (29)  op(e2, e3) = e3
% 195.68/32.64    (30)   ~ (all_52_6 = all_4_2)
% 195.68/32.64    (31)   ~ (all_46_1 = e0)
% 195.68/32.64    (32)  op(e3, e1) = all_52_8
% 195.68/32.64    (33)  op(e0, e0) = e3
% 195.68/32.64    (34)   ~ (e3 = e1)
% 195.68/32.64    (35)  op(e1, e1) = e3
% 195.68/32.64    (36)   ~ (e2 = e0)
% 195.68/32.64    (37)  op(e2, e3) = all_52_1
% 195.68/32.64    (38)  op(e3, e2) = all_46_1
% 195.68/32.64    (39)   ~ (all_24_2 = e1) | ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 195.68/32.64            op(e2, e1) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 =
% 195.68/32.64              e0) & op(e2, e1) = all_24_1 & $i(all_24_1))
% 195.68/32.64    (40)   ~ (all_52_9 = all_52_11)
% 195.68/32.64  
% 195.68/32.64  Begin of proof
% 195.68/32.64  | 
% 195.68/32.64  | GROUND_INST: instantiating (4) with e3, all_46_1, e2, e3, simplifying with
% 195.68/32.64  |              (16), (38) gives:
% 195.68/32.64  |   (41)  all_46_1 = e3
% 195.68/32.64  | 
% 195.68/32.64  | REDUCE: (31), (41) imply:
% 195.68/32.64  |   (42)   ~ (e3 = e0)
% 195.68/32.64  | 
% 195.68/32.64  | BETA: splitting (39) gives:
% 195.68/32.64  | 
% 195.68/32.64  | Case 1:
% 195.68/32.64  | | 
% 195.68/32.64  | |   (43)   ~ (all_24_2 = e1)
% 195.68/32.64  | | 
% 195.68/32.64  | | REDUCE: (21), (43) imply:
% 195.68/32.64  | |   (44)   ~ (all_4_2 = e1)
% 195.68/32.64  | | 
% 195.68/32.64  | | REF_CLOSE: (3), (4), (5), (8), (9), (10), (11), (14), (15), (16), (17),
% 195.68/32.64  | |            (18), (19), (22), (23), (24), (25), (26), (29), (33), (34), (35),
% 195.68/32.64  | |            (36), (37), (42), (44) are inconsistent by sub-proof #627.
% 195.68/32.64  | | 
% 195.68/32.64  | Case 2:
% 195.68/32.64  | | 
% 195.68/32.64  | |   (45)  all_24_2 = e1
% 195.68/32.64  | | 
% 195.68/32.64  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (11), (12), (13), (14), (15),
% 195.68/32.64  | |            (16), (17), (20), (21), (23), (24), (26), (27), (28), (30), (32),
% 195.68/32.64  | |            (33), (35), (36), (37), (40), (42), (45) are inconsistent by
% 195.68/32.64  | |            sub-proof #625.
% 195.68/32.64  | | 
% 195.68/32.64  | End of split
% 195.68/32.64  | 
% 195.68/32.64  End of proof
% 195.68/32.64  
% 195.68/32.64  Sub-proof #624 shows that the following formulas are inconsistent:
% 195.68/32.64  ----------------------------------------------------------------
% 195.68/32.64    (1)  op(all_46_1, e3) = all_46_0
% 195.68/32.64    (2)  op(e1, e2) = all_52_6
% 195.68/32.64    (3)  all_54_6 = all_52_9
% 195.68/32.64    (4)   ~ (e3 = e2)
% 195.68/32.64    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.68/32.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.68/32.64    (6)  op(e2, e2) = all_4_2
% 195.68/32.64    (7)   ~ (all_52_9 = e3)
% 195.68/32.64    (8)   ~ (all_46_0 = e1)
% 195.68/32.64    (9)   ~ (all_52_8 = e3)
% 195.68/32.64    (10)   ~ (all_52_14 = e3)
% 195.68/32.64    (11)  op(e2, e0) = all_52_13
% 195.68/32.64    (12)  op(e1, e0) = all_52_14
% 195.69/32.64    (13)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.64              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.64            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.64            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.64            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.64            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.64            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.64            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.64            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.69/32.64            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.64            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.64            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.69/32.64            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.64            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.64            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.64            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.64            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.64            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.69/32.64            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.64            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.64            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.69/32.64            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.64            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.64            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.69/32.64            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.64            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.64            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.64            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.64            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.64            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.69/32.64            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.69/32.64            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.69/32.64            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.64            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.64            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.64            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.64            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.64            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.64            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.64            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.64            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.64            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.69/32.64            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.64            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.64            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.64            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.64            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.64            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.64              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.64            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.64            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.64              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.64            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.64            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.69/32.64                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.64                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.64                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.64                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.64                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.64                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.64                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.64              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.64                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.64                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.64                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.64                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.64                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.64                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.64                $i(all_57_7))))
% 195.69/32.64    (14)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.64    (15)  op(e0, e1) = all_52_11
% 195.69/32.64    (16)   ~ (all_52_12 = e3)
% 195.69/32.64    (17)   ~ (all_4_2 = e3)
% 195.69/32.64    (18)  op(e3, e2) = e3
% 195.69/32.64    (19)  op(e3, e3) = e2
% 195.69/32.64    (20)  all_56_2 = e3
% 195.69/32.64    (21)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.69/32.64          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.69/32.64    (22)   ~ (e1 = e0)
% 195.69/32.64    (23)  all_24_2 = all_4_2
% 195.69/32.64    (24)   ~ (all_52_13 = all_52_14)
% 195.69/32.64    (25)   ~ (all_52_1 = e2)
% 195.69/32.64    (26)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.64          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.69/32.64    (27)  op(e3, e0) = all_52_12
% 195.69/32.64    (28)   ~ (all_52_9 = all_4_2)
% 195.69/32.64    (29)  op(e2, e1) = all_52_9
% 195.69/32.64    (30)  op(e2, e3) = e3
% 195.69/32.64    (31)   ~ (all_52_6 = all_4_2)
% 195.69/32.64    (32)  op(e3, e1) = all_52_8
% 195.69/32.64    (33)  op(e0, e0) = e3
% 195.69/32.64    (34)   ~ (e3 = e1)
% 195.69/32.64    (35)  op(e1, e1) = e3
% 195.69/32.64    (36)   ~ (e2 = e0)
% 195.69/32.64    (37)  op(e2, e3) = all_52_1
% 195.69/32.64    (38)  op(e3, e2) = all_46_1
% 195.69/32.64    (39)   ~ (e3 = e0)
% 195.69/32.64    (40)   ~ (all_24_2 = e1) | ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 195.69/32.64            op(e2, e1) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 =
% 195.69/32.64              e0) & op(e2, e1) = all_24_1 & $i(all_24_1))
% 195.69/32.64    (41)   ~ (all_52_9 = all_52_11)
% 195.69/32.64  
% 195.69/32.64  Begin of proof
% 195.69/32.64  | 
% 195.69/32.64  | GROUND_INST: instantiating (5) with e3, all_46_1, e2, e3, simplifying with
% 195.69/32.64  |              (18), (38) gives:
% 195.69/32.64  |   (42)  all_46_1 = e3
% 195.69/32.64  | 
% 195.69/32.64  | REDUCE: (1), (42) imply:
% 195.69/32.64  |   (43)  op(e3, e3) = all_46_0
% 195.69/32.64  | 
% 195.69/32.64  | GROUND_INST: instantiating (5) with e2, all_46_0, e3, e3, simplifying with
% 195.69/32.64  |              (19), (43) gives:
% 195.69/32.64  |   (44)  all_46_0 = e2
% 195.69/32.64  | 
% 195.69/32.64  | REDUCE: (8), (44) imply:
% 195.69/32.64  |   (45)   ~ (e2 = e1)
% 195.69/32.64  | 
% 195.69/32.64  | BETA: splitting (40) gives:
% 195.69/32.64  | 
% 195.69/32.64  | Case 1:
% 195.69/32.64  | | 
% 195.69/32.64  | |   (46)   ~ (all_24_2 = e1)
% 195.69/32.64  | | 
% 195.69/32.64  | | REDUCE: (23), (46) imply:
% 195.69/32.64  | |   (47)   ~ (all_4_2 = e1)
% 195.69/32.64  | | 
% 195.69/32.64  | | REF_CLOSE: (4), (5), (6), (10), (11), (12), (13), (16), (17), (18), (19),
% 195.69/32.64  | |            (20), (21), (24), (25), (26), (27), (30), (33), (34), (35), (36),
% 195.69/32.64  | |            (37), (39), (45), (47) are inconsistent by sub-proof #627.
% 195.69/32.64  | | 
% 195.69/32.64  | Case 2:
% 195.69/32.64  | | 
% 195.69/32.64  | |   (48)  all_24_2 = e1
% 195.69/32.64  | | 
% 195.69/32.64  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (13), (14), (15), (16), (17),
% 195.69/32.64  | |            (18), (19), (22), (23), (25), (27), (28), (29), (31), (32), (33),
% 195.69/32.64  | |            (35), (36), (37), (39), (41), (45), (48) are inconsistent by
% 195.69/32.64  | |            sub-proof #625.
% 195.69/32.64  | | 
% 195.69/32.64  | End of split
% 195.69/32.64  | 
% 195.69/32.64  End of proof
% 195.69/32.64  
% 195.69/32.64  Sub-proof #625 shows that the following formulas are inconsistent:
% 195.69/32.64  ----------------------------------------------------------------
% 195.69/32.64    (1)  op(e1, e2) = all_52_6
% 195.69/32.64    (2)  all_54_6 = all_52_9
% 195.69/32.64    (3)   ~ (e3 = e2)
% 195.69/32.64    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.64    (5)  op(e2, e2) = all_4_2
% 195.69/32.64    (6)   ~ (all_52_9 = e3)
% 195.69/32.64    (7)   ~ (all_52_8 = e3)
% 195.69/32.64    (8)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.64             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.64           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.64           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.64           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.64           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.64           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.64           = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 195.69/32.64           & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.69/32.64           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.64           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.69/32.64           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 195.69/32.64            ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1,
% 195.69/32.64             e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.69/32.64         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 195.69/32.64             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.69/32.64           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4
% 195.69/32.64           = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.69/32.64           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1)
% 195.69/32.64           = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.69/32.64           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2)
% 195.69/32.64           = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2
% 195.69/32.64           & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.69/32.64           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 195.69/32.64             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.64           $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &
% 195.69/32.64            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0,
% 195.69/32.64             e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 195.69/32.64         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 195.69/32.64             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.69/32.64           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7
% 195.69/32.64           = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 195.69/32.64           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 195.69/32.64           op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 195.69/32.64           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3)
% 195.69/32.64           = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 195.69/32.64           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14
% 195.69/32.64           = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.69/32.64           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13
% 195.69/32.64           & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 & 
% 195.69/32.64           ~ (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.69/32.64           = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.64           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.64           &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.64           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.64           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0)
% 195.69/32.64           &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.64           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.65           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 195.69/32.65           &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.65           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.65           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 195.69/32.65               e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.65               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.65               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.65                 e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.65               e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.69/32.65               e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.69/32.65               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 195.69/32.65               = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 195.69/32.65               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.65               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.69/32.65                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.65               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.69/32.65               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 195.69/32.65                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.65               $i(all_57_7))))
% 195.69/32.65    (9)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.65    (10)  op(e0, e1) = all_52_11
% 195.69/32.65    (11)   ~ (all_52_12 = e3)
% 195.69/32.65    (12)  all_24_2 = e1
% 195.69/32.65    (13)   ~ (all_4_2 = e3)
% 195.69/32.65    (14)  op(e3, e2) = e3
% 195.69/32.65    (15)  op(e3, e3) = e2
% 195.69/32.65    (16)   ~ (e1 = e0)
% 195.69/32.65    (17)  all_24_2 = all_4_2
% 195.69/32.65    (18)   ~ (all_52_1 = e2)
% 195.69/32.65    (19)   ~ (e2 = e1)
% 195.69/32.65    (20)  op(e3, e0) = all_52_12
% 195.69/32.65    (21)   ~ (all_52_9 = all_4_2)
% 195.69/32.65    (22)  op(e2, e1) = all_52_9
% 195.69/32.65    (23)   ~ (all_52_6 = all_4_2)
% 195.69/32.65    (24)  op(e3, e1) = all_52_8
% 195.69/32.65    (25)  op(e0, e0) = e3
% 195.69/32.65    (26)  op(e1, e1) = e3
% 195.69/32.65    (27)   ~ (e2 = e0)
% 195.69/32.65    (28)  op(e2, e3) = all_52_1
% 195.69/32.65    (29)   ~ (e3 = e0)
% 195.69/32.65    (30)   ~ (all_52_9 = all_52_11)
% 195.69/32.65  
% 195.69/32.65  Begin of proof
% 195.69/32.65  | 
% 195.69/32.65  | COMBINE_EQS: (12), (17) imply:
% 195.69/32.65  |   (31)  all_4_2 = e1
% 195.69/32.65  | 
% 195.69/32.65  | SIMP: (31) implies:
% 195.69/32.65  |   (32)  all_4_2 = e1
% 195.69/32.65  | 
% 195.69/32.65  | REDUCE: (23), (32) imply:
% 195.69/32.65  |   (33)   ~ (all_52_6 = e1)
% 195.69/32.65  | 
% 195.69/32.65  | REDUCE: (21), (32) imply:
% 195.69/32.65  |   (34)   ~ (all_52_9 = e1)
% 195.69/32.65  | 
% 195.69/32.65  | REDUCE: (13), (32) imply:
% 195.69/32.65  |   (35)   ~ (e3 = e1)
% 195.69/32.65  | 
% 195.69/32.65  | SIMP: (35) implies:
% 195.69/32.65  |   (36)   ~ (e3 = e1)
% 195.69/32.65  | 
% 195.69/32.65  | REDUCE: (5), (32) imply:
% 195.69/32.65  |   (37)  op(e2, e2) = e1
% 195.69/32.65  | 
% 195.69/32.65  | BETA: splitting (8) gives:
% 195.69/32.65  | 
% 195.69/32.65  | Case 1:
% 195.69/32.65  | | 
% 195.69/32.65  | |   (38)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 195.69/32.65  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.65  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 195.69/32.65  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 195.69/32.65  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.69/32.65  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 195.69/32.65  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 195.69/32.65  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 195.69/32.65  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.69/32.65  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 195.69/32.65  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.69/32.65  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 195.69/32.65  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 195.69/32.65  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.69/32.65  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.69/32.65  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 195.69/32.65  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.69/32.65  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 195.69/32.65  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 195.69/32.65  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 195.69/32.65  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.69/32.65  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.69/32.65  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.69/32.65  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.69/32.65  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.69/32.65  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.69/32.65  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.65  | | 
% 195.69/32.65  | | BETA: splitting (38) gives:
% 195.69/32.65  | | 
% 195.69/32.65  | | Case 1:
% 195.69/32.65  | | | 
% 195.69/32.65  | | |   (39)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.65  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.69/32.65  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.69/32.65  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 195.69/32.65  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.69/32.65  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.65  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 195.69/32.65  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.65  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.65  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 195.69/32.65  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.65  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 195.69/32.65  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.69/32.65  | | | 
% 195.69/32.65  | | | BETA: splitting (39) gives:
% 195.69/32.65  | | | 
% 195.69/32.65  | | | Case 1:
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | |   (40)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.65  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.69/32.65  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.69/32.65  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.69/32.65  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.65  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.69/32.65  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | | REF_CLOSE: (4), (18), (28), (40) are inconsistent by sub-proof #1784.
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | Case 2:
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | |   (41)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.65  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.69/32.65  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.65  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.69/32.65  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.65  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.69/32.65  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | | REF_CLOSE: (4), (26), (36), (37), (41) are inconsistent by sub-proof
% 195.69/32.65  | | | |            #683.
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | End of split
% 195.69/32.65  | | | 
% 195.69/32.65  | | Case 2:
% 195.69/32.65  | | | 
% 195.69/32.65  | | |   (42)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.65  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.65  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.65  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 195.69/32.65  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 195.69/32.65  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.65  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.69/32.65  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.69/32.65  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.69/32.65  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 195.69/32.65  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 195.69/32.65  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 195.69/32.65  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 195.69/32.65  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.65  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.65  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.65  | | | 
% 195.69/32.65  | | | BETA: splitting (42) gives:
% 195.69/32.65  | | | 
% 195.69/32.65  | | | Case 1:
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | |   (43)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.65  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.65  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.65  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.65  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 195.69/32.65  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.65  | | | |           $i(all_57_5) & $i(all_57_10))
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | | REF_CLOSE: (3), (4), (25), (26), (43) are inconsistent by sub-proof
% 195.69/32.65  | | | |            #1222.
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | Case 2:
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | |   (44)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.65  | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.69/32.65  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.65  | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 195.69/32.65  | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.69/32.65  | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 195.69/32.65  | | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.69/32.65  | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 195.69/32.65  | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.69/32.65  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | | REF_CLOSE: (1), (4), (7), (24), (33), (44) are inconsistent by sub-proof
% 195.69/32.65  | | | |            #1677.
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | End of split
% 195.69/32.65  | | | 
% 195.69/32.65  | | End of split
% 195.69/32.65  | | 
% 195.69/32.65  | Case 2:
% 195.69/32.65  | | 
% 195.69/32.65  | |   (45)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 195.69/32.65  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.65  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 195.69/32.65  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 195.69/32.65  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.69/32.65  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 195.69/32.65  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 195.69/32.65  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.69/32.65  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.69/32.65  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.65  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.65  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.65  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 195.69/32.65  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 195.69/32.65  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.65  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.69/32.65  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.69/32.65  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 195.69/32.65  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.65  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.69/32.65  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 195.69/32.65  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 195.69/32.65  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 195.69/32.65  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.65  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 195.69/32.65  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.65  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 195.69/32.65  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.69/32.65  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.65  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.69/32.65  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 195.69/32.65  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.69/32.65  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.65  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.65  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.65  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 195.69/32.65  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 195.69/32.65  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.65  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.65  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.65  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.69/32.65  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.65  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.65  | |               $i(all_57_7))))
% 195.69/32.65  | | 
% 195.69/32.65  | | BETA: splitting (45) gives:
% 195.69/32.65  | | 
% 195.69/32.65  | | Case 1:
% 195.69/32.65  | | | 
% 195.69/32.65  | | |   (46)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.65  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.65  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.65  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.65  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.65  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.65  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 195.69/32.65  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.69/32.65  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 195.69/32.65  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 195.69/32.65  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.69/32.65  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.69/32.65  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 195.69/32.65  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.65  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.65  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.65  | | |           $i(all_57_13))
% 195.69/32.65  | | | 
% 195.69/32.65  | | | BETA: splitting (46) gives:
% 195.69/32.65  | | | 
% 195.69/32.65  | | | Case 1:
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | |   (47)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.65  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.65  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.65  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.69/32.65  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.69/32.65  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.69/32.65  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | | REF_CLOSE: (4), (15), (19), (25), (36), (47) are inconsistent by
% 195.69/32.65  | | | |            sub-proof #676.
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | Case 2:
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | |   (48)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.65  | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.65  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.65  | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 195.69/32.65  | | | |           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.69/32.65  | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 195.69/32.65  | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.69/32.65  | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.65  | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 195.69/32.65  | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | | REF_CLOSE: (4), (11), (20), (25), (36), (48) are inconsistent by
% 195.69/32.65  | | | |            sub-proof #1189.
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | End of split
% 195.69/32.65  | | | 
% 195.69/32.65  | | Case 2:
% 195.69/32.65  | | | 
% 195.69/32.65  | | |   (49)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.65  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.65  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.65  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.65  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.69/32.65  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.65  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 195.69/32.65  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.65  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 195.69/32.65  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.69/32.65  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.69/32.65  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.69/32.65  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.69/32.65  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.65  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.65  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.65  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.65  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.69/32.65  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 195.69/32.65  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.65  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.69/32.65  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.65  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 195.69/32.65  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.65  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.65  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.69/32.65  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.65  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.65  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.69/32.65  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.65  | | | 
% 195.69/32.65  | | | BETA: splitting (49) gives:
% 195.69/32.65  | | | 
% 195.69/32.65  | | | Case 1:
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | |   (50)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.65  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.65  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.65  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.69/32.65  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.69/32.65  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.69/32.65  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | | REF_CLOSE: (4), (15), (27), (50) are inconsistent by sub-proof #819.
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | Case 2:
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | |   (51)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.69/32.65  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.65  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.65  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 195.69/32.65  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.65  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.69/32.65  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 195.69/32.65  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 195.69/32.65  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.65  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.65  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.65  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.69/32.65  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.65  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.65  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.69/32.65  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.65  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.65  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.69/32.65  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.65  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.69/32.65  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.69/32.65  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.65  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.69/32.65  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | | BETA: splitting (51) gives:
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | | Case 1:
% 195.69/32.65  | | | | | 
% 195.69/32.65  | | | | |   (52)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.69/32.65  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.65  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.65  | | | | |         $i(all_57_13)
% 195.69/32.65  | | | | | 
% 195.69/32.65  | | | | | ALPHA: (52) implies:
% 195.69/32.65  | | | | |   (53)  op(e1, e1) = e0
% 195.69/32.65  | | | | | 
% 195.69/32.65  | | | | | REF_CLOSE: (4), (26), (29), (53) are inconsistent by sub-proof #1824.
% 195.69/32.65  | | | | | 
% 195.69/32.65  | | | | Case 2:
% 195.69/32.65  | | | | | 
% 195.69/32.65  | | | | |   (54)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.65  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.65  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.65  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.65  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.65  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.69/32.65  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.69/32.65  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.65  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.65  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.65  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.69/32.65  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.65  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.69/32.65  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.65  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.65  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.65  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.69/32.65  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.65  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.65  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.69/32.65  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.65  | | | | |               $i(all_57_7))))
% 195.69/32.65  | | | | | 
% 195.69/32.65  | | | | | BETA: splitting (54) gives:
% 195.69/32.65  | | | | | 
% 195.69/32.65  | | | | | Case 1:
% 195.69/32.65  | | | | | | 
% 195.69/32.65  | | | | | |   (55)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.65  | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.65  | | | | | |         & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.65  | | | | | |         $i(all_57_14)
% 195.69/32.65  | | | | | | 
% 195.69/32.65  | | | | | | ALPHA: (55) implies:
% 195.69/32.65  | | | | | |   (56)  op(e2, e2) = e0
% 195.69/32.65  | | | | | | 
% 195.69/32.65  | | | | | | REF_CLOSE: (4), (16), (37), (56) are inconsistent by sub-proof
% 195.69/32.65  | | | | | |            #1909.
% 195.69/32.65  | | | | | | 
% 195.69/32.65  | | | | | Case 2:
% 195.69/32.65  | | | | | | 
% 195.69/32.65  | | | | | |   (57)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.65  | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.69/32.65  | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 195.69/32.65  | | | | | |               e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.69/32.65  | | | | | |             = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 195.69/32.65  | | | | | |               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.65  | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.65  | | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.65  | | | | | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.65  | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.69/32.65  | | | | | |             (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.65  | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.65  | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.65  | | | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.69/32.65  | | | | | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.65  | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.65  | | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.69/32.65  | | | | | |             & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.65  | | | | | |             $i(all_57_7)))
% 195.69/32.65  | | | | | | 
% 195.69/32.65  | | | | | | ALPHA: (57) implies:
% 195.69/32.65  | | | | | |   (58)  op(e0, e0) = all_57_15
% 195.69/32.65  | | | | | |   (59)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.65  | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 195.69/32.65  | | | | | |           & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.69/32.65  | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.69/32.65  | | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 195.69/32.65  | | | | | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.65  | | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.69/32.65  | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.65  | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.65  | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.69/32.65  | | | | | |           & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.65  | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.69/32.65  | | | | | |           & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.69/32.65  | | | | | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.65  | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.69/32.65  | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.69/32.65  | | | | | | 
% 195.69/32.65  | | | | | | GROUND_INST: instantiating (4) with e3, all_57_15, e0, e0,
% 195.69/32.65  | | | | | |              simplifying with (25), (58) gives:
% 195.69/32.65  | | | | | |   (60)  all_57_15 = e3
% 195.69/32.65  | | | | | | 
% 195.69/32.65  | | | | | | BETA: splitting (59) gives:
% 195.69/32.65  | | | | | | 
% 195.69/32.65  | | | | | | Case 1:
% 195.69/32.65  | | | | | | | 
% 195.69/32.65  | | | | | | |   (61)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.65  | | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.69/32.65  | | | | | | |           e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.69/32.65  | | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.65  | | | | | | |             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.65  | | | | | | |             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.65  | | | | | | |           = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.69/32.65  | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.65  | | | | | | |           $i(all_57_3))
% 195.69/32.65  | | | | | | | 
% 195.69/32.65  | | | | | | | REF_CLOSE: (4), (14), (25), (36), (37), (58), (61) are
% 195.69/32.65  | | | | | | |            inconsistent by sub-proof #1186.
% 195.69/32.65  | | | | | | | 
% 195.69/32.65  | | | | | | Case 2:
% 195.69/32.65  | | | | | | | 
% 195.69/32.65  | | | | | | |   (62)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.65  | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.65  | | | | | | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.65  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.69/32.65  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.69/32.65  | | | | | | |             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.65  | | | | | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 195.69/32.65  | | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.65  | | | | | | |           $i(all_57_7))
% 195.69/32.65  | | | | | | | 
% 195.69/32.65  | | | | | | | BETA: splitting (62) gives:
% 195.69/32.65  | | | | | | | 
% 195.69/32.65  | | | | | | | Case 1:
% 195.69/32.65  | | | | | | | | 
% 195.69/32.65  | | | | | | | |   (63)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.65  | | | | | | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.65  | | | | | | | |         e2 & op(e0, e2) = e0 & $i(all_57_4)
% 195.69/32.65  | | | | | | | | 
% 195.69/32.65  | | | | | | | | ALPHA: (63) implies:
% 195.69/32.65  | | | | | | | |   (64)  op(e1, e1) = e2
% 195.69/32.65  | | | | | | | | 
% 195.69/32.65  | | | | | | | | REF_CLOSE: (3), (4), (26), (64) are inconsistent by sub-proof
% 195.69/32.65  | | | | | | | |            #1777.
% 195.69/32.65  | | | | | | | | 
% 195.69/32.65  | | | | | | | Case 2:
% 195.69/32.65  | | | | | | | | 
% 195.69/32.65  | | | | | | | |   (65)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 195.69/32.65  | | | | | | | |           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.65  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 195.69/32.65  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.65  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.65  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.69/32.65  | | | | | | | | 
% 195.69/32.65  | | | | | | | | BETA: splitting (65) gives:
% 195.69/32.65  | | | | | | | | 
% 195.69/32.65  | | | | | | | | Case 1:
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | |   (66)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 195.69/32.65  | | | | | | | | |         ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.65  | | | | | | | | |         all_57_6 & op(e0, e1) = e0 & $i(all_57_6)
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | | ALPHA: (66) implies:
% 195.69/32.65  | | | | | | | | |   (67)  op(e3, e3) = e1
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | | REF_CLOSE: (4), (15), (19), (67) are inconsistent by sub-proof
% 195.69/32.65  | | | | | | | | |            #1934.
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | Case 2:
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | |   (68)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 195.69/32.65  | | | | | | | | |         ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.65  | | | | | | | | |         all_57_7 & op(e0, e1) = e0 & $i(all_57_7)
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | | ALPHA: (68) implies:
% 195.69/32.65  | | | | | | | | |   (69)   ~ (all_57_7 = e2)
% 195.69/32.65  | | | | | | | | |   (70)  op(e0, e1) = e0
% 195.69/32.65  | | | | | | | | |   (71)  op(e2, e1) = all_57_7
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | | GROUND_INST: instantiating (4) with all_52_11, e0, e1, e0,
% 195.69/32.65  | | | | | | | | |              simplifying with (10), (70) gives:
% 195.69/32.65  | | | | | | | | |   (72)  all_52_11 = e0
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | | GROUND_INST: instantiating (4) with all_52_9, all_57_7, e1, e2,
% 195.69/32.65  | | | | | | | | |              simplifying with (22), (71) gives:
% 195.69/32.65  | | | | | | | | |   (73)  all_57_7 = all_52_9
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | | REDUCE: (69), (73) imply:
% 195.69/32.65  | | | | | | | | |   (74)   ~ (all_52_9 = e2)
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | | REDUCE: (30), (72) imply:
% 195.69/32.65  | | | | | | | | |   (75)   ~ (all_52_9 = e0)
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | | REF_CLOSE: (2), (6), (9), (34), (74), (75) are inconsistent by
% 195.69/32.65  | | | | | | | | |            sub-proof #626.
% 195.69/32.65  | | | | | | | | | 
% 195.69/32.65  | | | | | | | | End of split
% 195.69/32.65  | | | | | | | | 
% 195.69/32.65  | | | | | | | End of split
% 195.69/32.65  | | | | | | | 
% 195.69/32.65  | | | | | | End of split
% 195.69/32.65  | | | | | | 
% 195.69/32.65  | | | | | End of split
% 195.69/32.65  | | | | | 
% 195.69/32.65  | | | | End of split
% 195.69/32.65  | | | | 
% 195.69/32.65  | | | End of split
% 195.69/32.65  | | | 
% 195.69/32.65  | | End of split
% 195.69/32.65  | | 
% 195.69/32.65  | End of split
% 195.69/32.65  | 
% 195.69/32.65  End of proof
% 195.69/32.65  
% 195.69/32.65  Sub-proof #626 shows that the following formulas are inconsistent:
% 195.69/32.65  ----------------------------------------------------------------
% 195.69/32.65    (1)  all_54_6 = all_52_9
% 195.69/32.65    (2)   ~ (all_52_9 = e1)
% 195.69/32.65    (3)   ~ (all_52_9 = e0)
% 195.69/32.65    (4)   ~ (all_52_9 = e3)
% 195.69/32.65    (5)   ~ (all_52_9 = e2)
% 195.69/32.65    (6)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.65  
% 195.69/32.65  Begin of proof
% 195.69/32.65  | 
% 195.69/32.65  | BETA: splitting (6) gives:
% 195.69/32.65  | 
% 195.69/32.65  | Case 1:
% 195.69/32.65  | | 
% 195.69/32.65  | |   (7)  all_54_6 = e3
% 195.69/32.65  | | 
% 195.69/32.65  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #1468.
% 195.69/32.65  | | 
% 195.69/32.65  | Case 2:
% 195.69/32.65  | | 
% 195.69/32.65  | |   (8)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.65  | | 
% 195.69/32.65  | | REF_CLOSE: (1), (2), (3), (5), (8) are inconsistent by sub-proof #641.
% 195.69/32.65  | | 
% 195.69/32.65  | End of split
% 195.69/32.65  | 
% 195.69/32.65  End of proof
% 195.69/32.65  
% 195.69/32.65  Sub-proof #627 shows that the following formulas are inconsistent:
% 195.69/32.65  ----------------------------------------------------------------
% 195.69/32.65    (1)   ~ (e3 = e2)
% 195.69/32.65    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.65    (3)  op(e2, e2) = all_4_2
% 195.69/32.65    (4)   ~ (all_52_14 = e3)
% 195.69/32.65    (5)  op(e2, e0) = all_52_13
% 195.69/32.65    (6)  op(e1, e0) = all_52_14
% 195.69/32.66    (7)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.66             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.66           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.66           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.66           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.66           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.66           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.66           = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 195.69/32.66           & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.69/32.66           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.66           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.69/32.66           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 195.69/32.66            ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1,
% 195.69/32.66             e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.69/32.66         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 195.69/32.66             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.69/32.66           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4
% 195.69/32.66           = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.69/32.66           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1)
% 195.69/32.66           = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.69/32.66           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2)
% 195.69/32.66           = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2
% 195.69/32.66           & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.69/32.66           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 195.69/32.66             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.66           $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &
% 195.69/32.66            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0,
% 195.69/32.66             e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 195.69/32.66         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 195.69/32.66             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.69/32.66           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7
% 195.69/32.66           = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 195.69/32.66           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 195.69/32.66           op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 195.69/32.66           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3)
% 195.69/32.66           = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 195.69/32.66           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14
% 195.69/32.66           = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.69/32.66           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13
% 195.69/32.66           & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 & 
% 195.69/32.66           ~ (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.69/32.66           = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.66           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.66           &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.66           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.66           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0)
% 195.69/32.66           &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.66           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.66           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 195.69/32.66           &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.66           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.66           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 195.69/32.66               e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.66               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.66               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.66                 e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.66               e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.69/32.66               e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.69/32.66               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 195.69/32.66               = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 195.69/32.66               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.66               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.69/32.66                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.66               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.69/32.66               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 195.69/32.66                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.66               $i(all_57_7))))
% 195.69/32.66    (8)   ~ (all_52_12 = e3)
% 195.69/32.66    (9)   ~ (all_4_2 = e1)
% 195.69/32.66    (10)   ~ (all_4_2 = e3)
% 195.69/32.66    (11)  op(e3, e2) = e3
% 195.69/32.66    (12)  op(e3, e3) = e2
% 195.69/32.66    (13)  all_56_2 = e3
% 195.69/32.66    (14)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.69/32.66          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.69/32.66    (15)   ~ (all_52_13 = all_52_14)
% 195.69/32.66    (16)   ~ (all_52_1 = e2)
% 195.69/32.66    (17)   ~ (e2 = e1)
% 195.69/32.66    (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.66          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.69/32.66    (19)  op(e3, e0) = all_52_12
% 195.69/32.66    (20)  op(e2, e3) = e3
% 195.69/32.66    (21)  op(e0, e0) = e3
% 195.69/32.66    (22)   ~ (e3 = e1)
% 195.69/32.66    (23)  op(e1, e1) = e3
% 195.69/32.66    (24)   ~ (e2 = e0)
% 195.69/32.66    (25)  op(e2, e3) = all_52_1
% 195.69/32.66    (26)   ~ (e3 = e0)
% 195.69/32.66  
% 195.69/32.66  Begin of proof
% 195.69/32.66  | 
% 195.69/32.66  | BETA: splitting (7) gives:
% 195.69/32.66  | 
% 195.69/32.66  | Case 1:
% 195.69/32.66  | | 
% 195.69/32.66  | |   (27)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 195.69/32.66  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.66  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 195.69/32.66  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 195.69/32.66  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.69/32.66  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 195.69/32.66  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 195.69/32.66  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 195.69/32.66  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.69/32.66  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 195.69/32.66  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.69/32.66  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 195.69/32.66  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 195.69/32.66  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.69/32.66  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.69/32.66  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 195.69/32.66  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.69/32.66  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 195.69/32.66  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 195.69/32.66  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 195.69/32.66  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.69/32.66  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.69/32.66  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.69/32.66  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.69/32.66  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.69/32.66  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.69/32.66  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.66  | | 
% 195.69/32.66  | | BETA: splitting (27) gives:
% 195.69/32.66  | | 
% 195.69/32.66  | | Case 1:
% 195.69/32.66  | | | 
% 195.69/32.66  | | |   (28)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.66  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.69/32.66  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.69/32.66  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 195.69/32.66  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.69/32.66  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.66  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 195.69/32.66  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.66  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.66  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 195.69/32.66  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.66  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 195.69/32.66  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.69/32.66  | | | 
% 195.69/32.66  | | | BETA: splitting (28) gives:
% 195.69/32.66  | | | 
% 195.69/32.66  | | | Case 1:
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | |   (29)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.66  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.69/32.66  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.69/32.66  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.69/32.66  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.66  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.69/32.66  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | | REF_CLOSE: (2), (16), (25), (29) are inconsistent by sub-proof #1784.
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | Case 2:
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | |   (30)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.66  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.69/32.66  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.66  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.69/32.66  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.66  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.69/32.66  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | | REF_CLOSE: (2), (3), (10), (23), (30) are inconsistent by sub-proof
% 195.69/32.66  | | | |            #733.
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | End of split
% 195.69/32.66  | | | 
% 195.69/32.66  | | Case 2:
% 195.69/32.66  | | | 
% 195.69/32.66  | | |   (31)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.66  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.66  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.66  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 195.69/32.66  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 195.69/32.66  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.66  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.69/32.66  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.69/32.66  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.69/32.66  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 195.69/32.66  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 195.69/32.66  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 195.69/32.66  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 195.69/32.66  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.66  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.66  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.66  | | | 
% 195.69/32.66  | | | BETA: splitting (31) gives:
% 195.69/32.66  | | | 
% 195.69/32.66  | | | Case 1:
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | |   (32)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.66  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.66  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.66  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.66  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 195.69/32.66  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.66  | | | |           $i(all_57_5) & $i(all_57_10))
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | | REF_CLOSE: (1), (2), (21), (23), (32) are inconsistent by sub-proof
% 195.69/32.66  | | | |            #1222.
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | Case 2:
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | |   (33)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.66  | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.69/32.66  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.66  | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 195.69/32.66  | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.69/32.66  | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 195.69/32.66  | | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.69/32.66  | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 195.69/32.66  | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.69/32.66  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | | BETA: splitting (33) gives:
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | | Case 1:
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | |   (34)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.66  | | | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.69/32.66  | | | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.66  | | | | |         $i(all_57_14)
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | | ALPHA: (34) implies:
% 195.69/32.66  | | | | |   (35)   ~ (all_57_3 = e3)
% 195.69/32.66  | | | | |   (36)  op(e3, e2) = all_57_3
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | | REF_CLOSE: (2), (11), (35), (36) are inconsistent by sub-proof #1889.
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | Case 2:
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | |   (37)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.69/32.66  | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.69/32.66  | | | | |           & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.66  | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.69/32.66  | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.66  | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.66  | | | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | | BETA: splitting (37) gives:
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | | Case 1:
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | |   (38)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.69/32.66  | | | | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.69/32.66  | | | | | |         & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.66  | | | | | |         $i(all_57_14)
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | ALPHA: (38) implies:
% 195.69/32.66  | | | | | |   (39)  op(e0, e0) = e2
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | REF_CLOSE: (1), (2), (21), (39) are inconsistent by sub-proof #1692.
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | Case 2:
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | |   (40)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.66  | | | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 195.69/32.66  | | | | | |         & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.66  | | | | | |         $i(all_57_10)
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | ALPHA: (40) implies:
% 195.69/32.66  | | | | | |   (41)  op(e2, e2) = e1
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | REF_CLOSE: (2), (3), (9), (41) are inconsistent by sub-proof #1969.
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | End of split
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | End of split
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | End of split
% 195.69/32.66  | | | 
% 195.69/32.66  | | End of split
% 195.69/32.66  | | 
% 195.69/32.66  | Case 2:
% 195.69/32.66  | | 
% 195.69/32.66  | |   (42)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 195.69/32.66  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.66  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 195.69/32.66  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 195.69/32.66  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.69/32.66  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 195.69/32.66  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 195.69/32.66  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.69/32.66  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.69/32.66  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.66  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.66  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.66  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 195.69/32.66  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 195.69/32.66  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.66  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.69/32.66  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.69/32.66  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 195.69/32.66  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.66  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.69/32.66  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 195.69/32.66  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 195.69/32.66  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 195.69/32.66  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.66  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 195.69/32.66  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.66  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 195.69/32.66  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.69/32.66  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.66  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.69/32.66  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 195.69/32.66  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.69/32.66  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.66  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.66  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.66  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 195.69/32.66  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 195.69/32.66  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.66  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.66  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.66  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.69/32.66  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.66  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.66  | |               $i(all_57_7))))
% 195.69/32.66  | | 
% 195.69/32.66  | | BETA: splitting (42) gives:
% 195.69/32.66  | | 
% 195.69/32.66  | | Case 1:
% 195.69/32.66  | | | 
% 195.69/32.66  | | |   (43)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.66  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.66  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.66  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.66  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.66  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.66  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 195.69/32.66  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.69/32.66  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 195.69/32.66  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 195.69/32.66  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.69/32.66  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.69/32.66  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 195.69/32.66  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.66  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.66  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.66  | | |           $i(all_57_13))
% 195.69/32.66  | | | 
% 195.69/32.66  | | | BETA: splitting (43) gives:
% 195.69/32.66  | | | 
% 195.69/32.66  | | | Case 1:
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | |   (44)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.66  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.66  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.66  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.69/32.66  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.69/32.66  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.69/32.66  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | | REF_CLOSE: (2), (12), (17), (21), (22), (44) are inconsistent by
% 195.69/32.66  | | | |            sub-proof #676.
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | Case 2:
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | |   (45)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.66  | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.66  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.66  | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 195.69/32.66  | | | |           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.69/32.66  | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 195.69/32.66  | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.69/32.66  | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.66  | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 195.69/32.66  | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | | REF_CLOSE: (2), (8), (19), (21), (22), (45) are inconsistent by
% 195.69/32.66  | | | |            sub-proof #1189.
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | End of split
% 195.69/32.66  | | | 
% 195.69/32.66  | | Case 2:
% 195.69/32.66  | | | 
% 195.69/32.66  | | |   (46)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.66  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.66  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.66  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.66  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.69/32.66  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.66  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 195.69/32.66  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.66  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 195.69/32.66  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.69/32.66  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.69/32.66  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.69/32.66  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.69/32.66  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.66  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.66  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.66  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.66  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.69/32.66  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 195.69/32.66  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.66  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.69/32.66  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.66  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 195.69/32.66  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.66  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.66  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.69/32.66  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.66  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.66  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.69/32.66  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.66  | | | 
% 195.69/32.66  | | | BETA: splitting (46) gives:
% 195.69/32.66  | | | 
% 195.69/32.66  | | | Case 1:
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | |   (47)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.66  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.66  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.66  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.69/32.66  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.69/32.66  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.69/32.66  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | | REF_CLOSE: (2), (12), (24), (47) are inconsistent by sub-proof #819.
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | Case 2:
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | |   (48)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.69/32.66  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.66  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.66  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 195.69/32.66  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.66  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.69/32.66  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 195.69/32.66  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 195.69/32.66  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.66  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.66  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.66  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.69/32.66  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.66  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.66  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.69/32.66  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.66  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.66  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.69/32.66  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.66  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.69/32.66  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.69/32.66  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.66  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.69/32.66  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | | BETA: splitting (48) gives:
% 195.69/32.66  | | | | 
% 195.69/32.66  | | | | Case 1:
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | |   (49)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.69/32.66  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.66  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.66  | | | | |         $i(all_57_13)
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | | ALPHA: (49) implies:
% 195.69/32.66  | | | | |   (50)  op(e1, e1) = e0
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | | REF_CLOSE: (2), (23), (26), (50) are inconsistent by sub-proof #1824.
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | Case 2:
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | |   (51)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.66  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.66  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.66  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.66  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.66  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.69/32.66  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.69/32.66  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.66  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.66  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.66  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.69/32.66  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.66  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.69/32.66  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.66  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.66  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.66  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.69/32.66  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.66  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.66  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.69/32.66  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.66  | | | | |               $i(all_57_7))))
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | | BETA: splitting (51) gives:
% 195.69/32.66  | | | | | 
% 195.69/32.66  | | | | | Case 1:
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | |   (52)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.66  | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.66  | | | | | |         & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.66  | | | | | |         $i(all_57_14)
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | ALPHA: (52) implies:
% 195.69/32.66  | | | | | |   (53)   ~ (all_57_11 = e2)
% 195.69/32.66  | | | | | |   (54)  op(e1, e0) = e1
% 195.69/32.66  | | | | | |   (55)  op(e2, e0) = all_57_11
% 195.69/32.66  | | | | | |   (56)  op(e2, e2) = e0
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | GROUND_INST: instantiating (2) with all_52_14, e1, e0, e1,
% 195.69/32.66  | | | | | |              simplifying with (6), (54) gives:
% 195.69/32.66  | | | | | |   (57)  all_52_14 = e1
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | GROUND_INST: instantiating (2) with all_52_13, all_57_11, e0, e2,
% 195.69/32.66  | | | | | |              simplifying with (5), (55) gives:
% 195.69/32.66  | | | | | |   (58)  all_57_11 = all_52_13
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | GROUND_INST: instantiating (2) with all_4_2, e0, e2, e2, simplifying
% 195.69/32.66  | | | | | |              with (3), (56) gives:
% 195.69/32.66  | | | | | |   (59)  all_4_2 = e0
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | REDUCE: (53), (58) imply:
% 195.69/32.66  | | | | | |   (60)   ~ (all_52_13 = e2)
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | REDUCE: (15), (57) imply:
% 195.69/32.66  | | | | | |   (61)   ~ (all_52_13 = e1)
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | REDUCE: (4), (57) imply:
% 195.69/32.66  | | | | | |   (62)   ~ (e3 = e1)
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | REDUCE: (9), (59) imply:
% 195.69/32.66  | | | | | |   (63)   ~ (e1 = e0)
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | SIMP: (63) implies:
% 195.69/32.66  | | | | | |   (64)   ~ (e1 = e0)
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | BETA: splitting (14) gives:
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | Case 1:
% 195.69/32.66  | | | | | | | 
% 195.69/32.66  | | | | | | |   (65)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 195.69/32.66  | | | | | | |           op(e2, e2) = e1)
% 195.69/32.66  | | | | | | | 
% 195.69/32.66  | | | | | | | REF_CLOSE: (2), (13), (22), (56), (64), (65) are inconsistent by
% 195.69/32.66  | | | | | | |            sub-proof #691.
% 195.69/32.66  | | | | | | | 
% 195.69/32.66  | | | | | | Case 2:
% 195.69/32.66  | | | | | | | 
% 195.69/32.66  | | | | | | |   (66)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 &
% 195.69/32.66  | | | | | | |           op(e2, e0) = e1)
% 195.69/32.66  | | | | | | | 
% 195.69/32.66  | | | | | | | BETA: splitting (66) gives:
% 195.69/32.66  | | | | | | | 
% 195.69/32.66  | | | | | | | Case 1:
% 195.69/32.66  | | | | | | | | 
% 195.69/32.66  | | | | | | | |   (67)  all_56_5 = e1 & op(e2, e1) = e1
% 195.69/32.66  | | | | | | | | 
% 195.69/32.66  | | | | | | | | ALPHA: (67) implies:
% 195.69/32.66  | | | | | | | |   (68)  op(e2, e1) = e1
% 195.69/32.66  | | | | | | | | 
% 195.69/32.66  | | | | | | | | REF_CLOSE: (1), (2), (5), (17), (18), (20), (24), (56), (60),
% 195.69/32.66  | | | | | | | |            (68) are inconsistent by sub-proof #1413.
% 195.69/32.66  | | | | | | | | 
% 195.69/32.66  | | | | | | | Case 2:
% 195.69/32.66  | | | | | | | | 
% 195.69/32.66  | | | | | | | |   (69)  all_56_10 = e1 & op(e2, e0) = e1
% 195.69/32.66  | | | | | | | | 
% 195.69/32.66  | | | | | | | | ALPHA: (69) implies:
% 195.69/32.66  | | | | | | | |   (70)  op(e2, e0) = e1
% 195.69/32.66  | | | | | | | | 
% 195.69/32.66  | | | | | | | | REF_CLOSE: (2), (5), (61), (70) are inconsistent by sub-proof
% 195.69/32.66  | | | | | | | |            #1650.
% 195.69/32.66  | | | | | | | | 
% 195.69/32.66  | | | | | | | End of split
% 195.69/32.66  | | | | | | | 
% 195.69/32.66  | | | | | | End of split
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | Case 2:
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | |   (71)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.66  | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.69/32.66  | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 195.69/32.66  | | | | | |               e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.69/32.66  | | | | | |             = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 195.69/32.66  | | | | | |               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.66  | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.66  | | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.66  | | | | | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.66  | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.69/32.66  | | | | | |             (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.66  | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.66  | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.66  | | | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.69/32.66  | | | | | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.66  | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.66  | | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.69/32.66  | | | | | |             & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.66  | | | | | |             $i(all_57_7)))
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | ALPHA: (71) implies:
% 195.69/32.66  | | | | | |   (72)  op(e0, e0) = all_57_15
% 195.69/32.66  | | | | | |   (73)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.66  | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 195.69/32.66  | | | | | |           & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.69/32.66  | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.69/32.66  | | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 195.69/32.66  | | | | | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.66  | | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.69/32.66  | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.66  | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.66  | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.69/32.66  | | | | | |           & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.66  | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.69/32.66  | | | | | |           & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.69/32.66  | | | | | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.66  | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.69/32.66  | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | BETA: splitting (73) gives:
% 195.69/32.66  | | | | | | 
% 195.69/32.66  | | | | | | Case 1:
% 195.69/32.66  | | | | | | | 
% 195.69/32.66  | | | | | | |   (74)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.66  | | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.69/32.66  | | | | | | |           e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.69/32.66  | | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.66  | | | | | | |             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.66  | | | | | | |             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.66  | | | | | | |           = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.69/32.66  | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.66  | | | | | | |           $i(all_57_3))
% 195.69/32.66  | | | | | | | 
% 195.69/32.66  | | | | | | | REF_CLOSE: (2), (3), (10), (11), (21), (72), (74) are inconsistent
% 195.69/32.66  | | | | | | |            by sub-proof #628.
% 195.69/32.66  | | | | | | | 
% 195.69/32.66  | | | | | | Case 2:
% 195.69/32.66  | | | | | | | 
% 195.69/32.67  | | | | | | |   (75)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.67  | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.67  | | | | | | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.67  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.69/32.67  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.69/32.67  | | | | | | |             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.67  | | | | | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 195.69/32.67  | | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.67  | | | | | | |           $i(all_57_7))
% 195.69/32.67  | | | | | | | 
% 195.69/32.67  | | | | | | | BETA: splitting (75) gives:
% 195.69/32.67  | | | | | | | 
% 195.69/32.67  | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | 
% 195.69/32.67  | | | | | | | |   (76)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.67  | | | | | | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.67  | | | | | | | |         e2 & op(e0, e2) = e0 & $i(all_57_4)
% 195.69/32.67  | | | | | | | | 
% 195.69/32.67  | | | | | | | | ALPHA: (76) implies:
% 195.69/32.67  | | | | | | | |   (77)  op(e1, e1) = e2
% 195.69/32.67  | | | | | | | | 
% 195.69/32.67  | | | | | | | | REF_CLOSE: (1), (2), (23), (77) are inconsistent by sub-proof
% 195.69/32.67  | | | | | | | |            #1777.
% 195.69/32.67  | | | | | | | | 
% 195.69/32.67  | | | | | | | Case 2:
% 195.69/32.67  | | | | | | | | 
% 195.69/32.67  | | | | | | | |   (78)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 195.69/32.67  | | | | | | | |           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.67  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 195.69/32.67  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.67  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.67  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.69/32.67  | | | | | | | | 
% 195.69/32.67  | | | | | | | | REF_CLOSE: (2), (3), (9), (12), (17), (78) are inconsistent by
% 195.69/32.67  | | | | | | | |            sub-proof #804.
% 195.69/32.67  | | | | | | | | 
% 195.69/32.67  | | | | | | | End of split
% 195.69/32.67  | | | | | | | 
% 195.69/32.67  | | | | | | End of split
% 195.69/32.67  | | | | | | 
% 195.69/32.67  | | | | | End of split
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | End of split
% 195.69/32.67  | | | | 
% 195.69/32.67  | | | End of split
% 195.69/32.67  | | | 
% 195.69/32.67  | | End of split
% 195.69/32.67  | | 
% 195.69/32.67  | End of split
% 195.69/32.67  | 
% 195.69/32.67  End of proof
% 195.69/32.67  
% 195.69/32.67  Sub-proof #628 shows that the following formulas are inconsistent:
% 195.69/32.67  ----------------------------------------------------------------
% 195.69/32.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.67    (2)  op(e2, e2) = all_4_2
% 195.69/32.67    (3)  op(e0, e0) = all_57_15
% 195.69/32.67    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.69/32.67             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.67           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.69/32.67           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.67             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.67           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.67           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.69/32.67    (5)   ~ (all_4_2 = e3)
% 195.69/32.67    (6)  op(e3, e2) = e3
% 195.69/32.67    (7)  op(e0, e0) = e3
% 195.69/32.67  
% 195.69/32.67  Begin of proof
% 195.69/32.67  | 
% 195.69/32.67  | BETA: splitting (4) gives:
% 195.69/32.67  | 
% 195.69/32.67  | Case 1:
% 195.69/32.67  | | 
% 195.69/32.67  | |   (8)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.69/32.67  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.67  | |        $i(all_57_0)
% 195.69/32.67  | | 
% 195.69/32.67  | | ALPHA: (8) implies:
% 195.69/32.67  | |   (9)  op(e2, e2) = e3
% 195.69/32.67  | | 
% 195.69/32.67  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1975.
% 195.69/32.67  | | 
% 195.69/32.67  | Case 2:
% 195.69/32.67  | | 
% 195.69/32.67  | |   (10)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 195.69/32.67  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 195.69/32.67  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.67  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.69/32.67  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.69/32.67  | | 
% 195.69/32.67  | | REF_CLOSE: (1), (3), (6), (7), (10) are inconsistent by sub-proof #1187.
% 195.69/32.67  | | 
% 195.69/32.67  | End of split
% 195.69/32.67  | 
% 195.69/32.67  End of proof
% 195.69/32.67  
% 195.69/32.67  Sub-proof #629 shows that the following formulas are inconsistent:
% 195.69/32.67  ----------------------------------------------------------------
% 195.69/32.67    (1)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.69/32.67    (2)   ~ (e3 = e2)
% 195.69/32.67    (3)  all_56_13 = e0
% 195.69/32.67    (4)  all_56_12 = e3
% 195.69/32.67    (5)   ~ (e2 = e0)
% 195.69/32.67  
% 195.69/32.67  Begin of proof
% 195.69/32.67  | 
% 195.69/32.67  | BETA: splitting (1) gives:
% 195.69/32.67  | 
% 195.69/32.67  | Case 1:
% 195.69/32.67  | | 
% 195.69/32.67  | |   (6)  all_56_12 = e2 & op(e0, e3) = e2
% 195.69/32.67  | | 
% 195.69/32.67  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1848.
% 195.69/32.67  | | 
% 195.69/32.67  | Case 2:
% 195.69/32.67  | | 
% 195.69/32.67  | |   (7)  all_56_13 = e2 & op(e0, e2) = e2
% 195.69/32.67  | | 
% 195.69/32.67  | | ALPHA: (7) implies:
% 195.69/32.67  | |   (8)  all_56_13 = e2
% 195.69/32.67  | | 
% 195.69/32.67  | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #1357.
% 195.69/32.67  | | 
% 195.69/32.67  | End of split
% 195.69/32.67  | 
% 195.69/32.67  End of proof
% 195.69/32.67  
% 195.69/32.67  Sub-proof #630 shows that the following formulas are inconsistent:
% 195.69/32.67  ----------------------------------------------------------------
% 195.69/32.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.67    (2)  all_56_12 = e3
% 195.69/32.67    (3)   ~ (all_52_7 = e1)
% 195.69/32.67    (4)   ~ (e3 = e1)
% 195.69/32.67    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.69/32.67    (6)  op(e0, e2) = all_52_7
% 195.69/32.67  
% 195.69/32.67  Begin of proof
% 195.69/32.67  | 
% 195.69/32.67  | BETA: splitting (5) gives:
% 195.69/32.67  | 
% 195.69/32.67  | Case 1:
% 195.69/32.67  | | 
% 195.69/32.67  | |   (7)  all_56_12 = e1 & op(e0, e3) = e1
% 195.69/32.67  | | 
% 195.69/32.67  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #1598.
% 195.69/32.67  | | 
% 195.69/32.67  | Case 2:
% 195.69/32.67  | | 
% 195.69/32.67  | |   (8)  all_56_13 = e1 & op(e0, e2) = e1
% 195.69/32.67  | | 
% 195.69/32.67  | | ALPHA: (8) implies:
% 195.69/32.67  | |   (9)  op(e0, e2) = e1
% 195.69/32.67  | | 
% 195.69/32.67  | | REF_CLOSE: (1), (3), (6), (9) are inconsistent by sub-proof #1649.
% 195.69/32.67  | | 
% 195.69/32.67  | End of split
% 195.69/32.67  | 
% 195.69/32.67  End of proof
% 195.69/32.67  
% 195.69/32.67  Sub-proof #631 shows that the following formulas are inconsistent:
% 195.69/32.67  ----------------------------------------------------------------
% 195.69/32.67    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.69/32.67         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.69/32.67    (2)  op(e1, e3) = all_52_2
% 195.69/32.67    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.69/32.67           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.69/32.67           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.69/32.67                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.69/32.67               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.67               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.67           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.69/32.67           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.67               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.69/32.67           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.69/32.67               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.69/32.67           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.69/32.67           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.69/32.67               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.67               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.67               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.67         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.69/32.67           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.67           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.69/32.67               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.67             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.67         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.67           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.67           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.69/32.67                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.69/32.67               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.69/32.67               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.69/32.67           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.69/32.67           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.67             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.67           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.67               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.69/32.67           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.69/32.67           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.69/32.67               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.67               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.67               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.67         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.69/32.67           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.69/32.67           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.69/32.67               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.67             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.67         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.67           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.67           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.67                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.69/32.67               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.67               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.69/32.67           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.69/32.67             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.67               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.67           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.67               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.69/32.67           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.69/32.67           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.69/32.67               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.67               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.67               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.67         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.69/32.67           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.69/32.67           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.69/32.67               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.69/32.67             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.67         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.67             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.67           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.67               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.67             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.67         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.69/32.67             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.67           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.67               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.67             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.67         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.69/32.67             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.67           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.69/32.67               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.69/32.67             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.67         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.69/32.67             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.67           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.69/32.67               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.69/32.67             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.67    (4)   ~ (all_52_3 = e1)
% 195.69/32.67    (5)  op(e1, e2) = all_52_6
% 195.69/32.67    (6)   ~ (all_52_14 = e0)
% 195.69/32.67    (7)   ~ (all_52_6 = e0)
% 195.69/32.67    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.69/32.67         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.69/32.67    (9)   ~ (all_52_3 = e2)
% 195.69/32.67    (10)   ~ (all_52_3 = e3)
% 195.69/32.67    (11)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.69/32.67          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.69/32.67    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.69/32.67          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.69/32.67    (13)   ~ (all_52_2 = e0)
% 195.69/32.67    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.69/32.67          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.69/32.67    (15)   ~ (e3 = e2)
% 195.69/32.67    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.67            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.67    (17)  op(e3, e2) = all_52_4
% 195.69/32.67    (18)  op(e2, e2) = e1
% 195.69/32.67    (19)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 195.69/32.67          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.69/32.67    (20)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.67          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.67    (21)   ~ (all_52_3 = all_52_7)
% 195.69/32.67    (22)  all_54_12 = all_52_3
% 195.69/32.67    (23)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.69/32.67          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.69/32.67    (24)  all_54_9 = all_52_6
% 195.69/32.67    (25)   ~ (all_52_14 = e3)
% 195.69/32.67    (26)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 195.69/32.67    (27)  op(e2, e0) = all_52_13
% 195.69/32.67    (28)  op(e1, e0) = all_52_14
% 195.69/32.67    (29)   ~ (all_52_12 = e2)
% 195.69/32.67    (30)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.67          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.69/32.67    (31)   ~ (all_52_13 = e1)
% 195.69/32.67    (32)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.69/32.67          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.69/32.67    (33)  op(e1, e3) = e1
% 195.69/32.67    (34)   ~ (all_52_7 = e1)
% 195.69/32.67    (35)   ~ (all_52_12 = e3)
% 195.69/32.67    (36)   ~ (all_52_6 = all_52_14)
% 195.69/32.67    (37)   ~ (all_52_14 = e1)
% 195.69/32.67    (38)  op(e1, e1) = e0
% 195.69/32.67    (39)  op(e3, e3) = e2
% 195.69/32.67    (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.69/32.67          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.67    (41)  all_54_11 = all_52_14
% 195.69/32.67    (42)  all_56_2 = e3
% 195.69/32.67    (43)   ~ (e1 = e0)
% 195.69/32.67    (44)  all_56_6 = e1
% 195.69/32.67    (45)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.69/32.67          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.69/32.67    (46)  all_56_14 = e1
% 195.69/32.67    (47)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.67          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.67    (48)   ~ (all_52_13 = all_52_14)
% 195.69/32.67    (49)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.69/32.67    (50)   ~ (e2 = e1)
% 195.69/32.67    (51)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.69/32.67          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.69/32.67    (52)  op(e3, e0) = all_52_12
% 195.69/32.67    (53)   ~ (all_52_7 = e3)
% 195.69/32.67    (54)   ~ (all_52_4 = all_52_6)
% 195.69/32.67    (55)  op(e0, e0) = e3
% 195.69/32.67    (56)   ~ (e3 = e1)
% 195.69/32.67    (57)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.69/32.67          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.69/32.67    (58)   ~ (all_52_6 = e1)
% 195.69/32.67    (59)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.67          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.67    (60)  op(e0, e2) = all_52_7
% 195.69/32.67    (61)   ~ (e2 = e0)
% 195.69/32.67    (62)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.69/32.67    (63)   ~ (e3 = e0)
% 195.69/32.67  
% 195.69/32.67  Begin of proof
% 195.69/32.67  | 
% 195.69/32.67  | BETA: splitting (11) gives:
% 195.69/32.67  | 
% 195.69/32.67  | Case 1:
% 195.69/32.67  | | 
% 195.69/32.67  | |   (64)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 195.69/32.67  | |           e0)
% 195.69/32.67  | | 
% 195.69/32.67  | | REF_CLOSE: (16), (18), (42), (43), (63), (64) are inconsistent by sub-proof
% 195.69/32.67  | |            #1168.
% 195.69/32.67  | | 
% 195.69/32.67  | Case 2:
% 195.69/32.67  | | 
% 195.69/32.67  | |   (65)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 195.69/32.67  | |           e0)
% 195.69/32.67  | | 
% 195.69/32.67  | | BETA: splitting (65) gives:
% 195.69/32.67  | | 
% 195.69/32.67  | | Case 1:
% 195.69/32.67  | | | 
% 195.69/32.67  | | |   (66)  all_56_5 = e0 & op(e2, e1) = e0
% 195.69/32.67  | | | 
% 195.69/32.67  | | | ALPHA: (66) implies:
% 195.69/32.67  | | |   (67)  all_56_5 = e0
% 195.69/32.67  | | | 
% 195.69/32.67  | | | REF_CLOSE: (15), (16), (20), (38), (46), (47), (50), (56), (61), (63),
% 195.69/32.67  | | |            (67) are inconsistent by sub-proof #1552.
% 195.69/32.67  | | | 
% 195.69/32.67  | | Case 2:
% 195.69/32.67  | | | 
% 195.69/32.67  | | |   (68)  all_56_10 = e0 & op(e2, e0) = e0
% 195.69/32.67  | | | 
% 195.69/32.67  | | | ALPHA: (68) implies:
% 195.69/32.67  | | |   (69)  all_56_10 = e0
% 195.69/32.67  | | | 
% 195.69/32.67  | | | BETA: splitting (51) gives:
% 195.69/32.67  | | | 
% 195.69/32.67  | | | Case 1:
% 195.69/32.67  | | | | 
% 195.69/32.67  | | | |   (70)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0)
% 195.69/32.67  | | | |           = e2)
% 195.69/32.67  | | | | 
% 195.69/32.67  | | | | BETA: splitting (70) gives:
% 195.69/32.67  | | | | 
% 195.69/32.67  | | | | Case 1:
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | |   (71)  all_56_9 = e2 & op(e3, e0) = e2
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | | REF_CLOSE: (16), (29), (52), (71) are inconsistent by sub-proof #737.
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | Case 2:
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | |   (72)  all_56_10 = e2 & op(e2, e0) = e2
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | | REF_CLOSE: (61), (69), (72) are inconsistent by sub-proof #1003.
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | End of split
% 195.69/32.67  | | | | 
% 195.69/32.67  | | | Case 2:
% 195.69/32.67  | | | | 
% 195.69/32.67  | | | |   (73)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 195.69/32.67  | | | |             e0) = e2)
% 195.69/32.67  | | | | 
% 195.69/32.67  | | | | BETA: splitting (73) gives:
% 195.69/32.67  | | | | 
% 195.69/32.67  | | | | Case 1:
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | |   (74)  all_56_11 = e2 & op(e1, e0) = e2
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | | ALPHA: (74) implies:
% 195.69/32.67  | | | | |   (75)  all_56_11 = e2
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | | BETA: splitting (19) gives:
% 195.69/32.67  | | | | | 
% 195.69/32.67  | | | | | Case 1:
% 195.69/32.67  | | | | | | 
% 195.69/32.67  | | | | | |   (76)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2,
% 195.69/32.67  | | | | | |             e0) = e1)
% 195.69/32.67  | | | | | | 
% 195.69/32.67  | | | | | | BETA: splitting (76) gives:
% 195.69/32.67  | | | | | | 
% 195.69/32.67  | | | | | | Case 1:
% 195.69/32.67  | | | | | | | 
% 195.69/32.67  | | | | | | |   (77)  all_56_9 = e1 & op(e3, e0) = e1
% 195.69/32.67  | | | | | | | 
% 195.69/32.67  | | | | | | | ALPHA: (77) implies:
% 195.69/32.67  | | | | | | |   (78)  all_56_9 = e1
% 195.69/32.67  | | | | | | | 
% 195.69/32.67  | | | | | | | BETA: splitting (40) gives:
% 195.69/32.67  | | | | | | | 
% 195.69/32.67  | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | 
% 195.69/32.67  | | | | | | | |   (79)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 &
% 195.69/32.67  | | | | | | | |           op(e3, e2) = e0)
% 195.69/32.67  | | | | | | | | 
% 195.69/32.67  | | | | | | | | BETA: splitting (79) gives:
% 195.69/32.67  | | | | | | | | 
% 195.69/32.67  | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | 
% 195.69/32.67  | | | | | | | | |   (80)  all_56_0 = e0 & op(e3, e3) = e0
% 195.69/32.67  | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | ALPHA: (80) implies:
% 195.69/32.67  | | | | | | | | |   (81)  op(e3, e3) = e0
% 195.69/32.67  | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | REF_CLOSE: (16), (39), (61), (81) are inconsistent by
% 195.69/32.67  | | | | | | | | |            sub-proof #833.
% 195.69/32.67  | | | | | | | | | 
% 195.69/32.67  | | | | | | | | Case 2:
% 195.69/32.67  | | | | | | | | | 
% 195.69/32.67  | | | | | | | | |   (82)  all_56_1 = e0 & op(e3, e2) = e0
% 195.69/32.67  | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | ALPHA: (82) implies:
% 195.69/32.67  | | | | | | | | |   (83)  all_56_1 = e0
% 195.69/32.67  | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | BETA: splitting (45) gives:
% 195.69/32.67  | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | |   (84)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 &
% 195.69/32.67  | | | | | | | | | |           op(e3, e2) = e3)
% 195.69/32.67  | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | BETA: splitting (84) gives:
% 195.69/32.67  | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | |   (85)  all_56_0 = e3 & op(e3, e3) = e3
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | ALPHA: (85) implies:
% 195.69/32.67  | | | | | | | | | | |   (86)  op(e3, e3) = e3
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | REF_CLOSE: (2), (8), (12), (13), (14), (15), (16), (42),
% 195.69/32.67  | | | | | | | | | | |            (43), (50), (56), (61), (63), (86) are
% 195.69/32.67  | | | | | | | | | | |            inconsistent by sub-proof #1720.
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | Case 2:
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | |   (87)  all_56_1 = e3 & op(e3, e2) = e3
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | ALPHA: (87) implies:
% 195.69/32.67  | | | | | | | | | | |   (88)  all_56_1 = e3
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | REF_CLOSE: (63), (83), (88) are inconsistent by sub-proof
% 195.69/32.67  | | | | | | | | | | |            #1929.
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | End of split
% 195.69/32.67  | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | Case 2:
% 195.69/32.67  | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | |   (89)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 &
% 195.69/32.67  | | | | | | | | | |           op(e3, e0) = e3)
% 195.69/32.67  | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | BETA: splitting (89) gives:
% 195.69/32.67  | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | |   (90)  all_56_4 = e3 & op(e3, e1) = e3
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | ALPHA: (90) implies:
% 195.69/32.67  | | | | | | | | | | |   (91)  all_56_4 = e3
% 195.69/32.67  | | | | | | | | | | |   (92)  op(e3, e1) = e3
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | BETA: splitting (30) gives:
% 195.69/32.67  | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | |   (93)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 195.69/32.67  | | | | | | | | | | | |           & op(e2, e2) = e3)
% 195.69/32.67  | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | BETA: splitting (93) gives:
% 195.69/32.67  | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | |   (94)  all_56_1 = e3 & op(e3, e2) = e3
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | ALPHA: (94) implies:
% 195.69/32.67  | | | | | | | | | | | | |   (95)  all_56_1 = e3
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | COMBINE_EQS: (83), (95) imply:
% 195.69/32.67  | | | | | | | | | | | | |   (96)  e3 = e0
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | SIMP: (96) implies:
% 195.69/32.67  | | | | | | | | | | | | |   (97)  e3 = e0
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | COMBINE_EQS: (91), (97) imply:
% 195.69/32.67  | | | | | | | | | | | | |   (98)  all_56_4 = e0
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | REF_CLOSE: (15), (16), (20), (38), (46), (47), (50), (56),
% 195.69/32.67  | | | | | | | | | | | | |            (61), (63), (98) are inconsistent by sub-proof
% 195.69/32.67  | | | | | | | | | | | | |            #1810.
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | Case 2:
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | |   (99)  all_56_3 = e3 & op(e2, e2) = e3
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | ALPHA: (99) implies:
% 195.69/32.67  | | | | | | | | | | | | |   (100)  op(e2, e2) = e3
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | REF_CLOSE: (16), (18), (56), (100) are inconsistent by
% 195.69/32.67  | | | | | | | | | | | | |            sub-proof #1679.
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | End of split
% 195.69/32.67  | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | Case 2:
% 195.69/32.67  | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | |   (101)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 195.69/32.67  | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 195.69/32.67  | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | BETA: splitting (101) gives:
% 195.69/32.67  | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | |   (102)  all_56_7 = e3 & op(e1, e2) = e3
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | ALPHA: (102) implies:
% 195.69/32.67  | | | | | | | | | | | | |   (103)  all_56_7 = e3
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | BETA: splitting (49) gives:
% 195.69/32.67  | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | |   (104)  all_54_12 = e2
% 195.69/32.67  | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | REF_CLOSE: (9), (22), (104) are inconsistent by sub-proof
% 195.69/32.67  | | | | | | | | | | | | | |            #1465.
% 195.69/32.67  | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | Case 2:
% 195.69/32.67  | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | |   (105)   ~ (all_54_12 = e2)
% 195.69/32.67  | | | | | | | | | | | | | |   (106)  all_54_12 = e1 | all_54_12 = e0
% 195.69/32.67  | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 195.69/32.67  | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | |   (107)  all_54_11 = e3
% 195.69/32.67  | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | REF_CLOSE: (25), (41), (107) are inconsistent by sub-proof
% 195.69/32.67  | | | | | | | | | | | | | | |            #1277.
% 195.69/32.67  | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | Case 2:
% 195.69/32.67  | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | |   (108)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 195.69/32.67  | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 195.69/32.67  | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | |   (109)  all_54_11 = e2
% 195.69/32.67  | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (109) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | |   (110)  all_52_14 = e2
% 195.69/32.67  | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | SIMP: (110) implies:
% 195.69/32.67  | | | | | | | | | | | | | | | |   (111)  all_52_14 = e2
% 195.69/32.67  | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | REDUCE: (36), (111) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | |   (112)   ~ (all_52_6 = e2)
% 195.69/32.67  | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | REDUCE: (48), (111) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | |   (113)   ~ (all_52_13 = e2)
% 195.69/32.67  | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 195.69/32.67  | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | |   (114)  all_54_9 = e3
% 195.69/32.67  | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (114) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | | |   (115)  all_52_6 = e3
% 195.69/32.67  | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | SIMP: (115) implies:
% 195.69/32.67  | | | | | | | | | | | | | | | | |   (116)  all_52_6 = e3
% 195.69/32.67  | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | REDUCE: (54), (116) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | | |   (117)   ~ (all_52_4 = e3)
% 195.69/32.67  | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | REDUCE: (5), (116) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | | |   (118)  op(e1, e2) = e3
% 195.69/32.67  | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 195.69/32.67  | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | |   (119)  all_54_12 = e1
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (22), (119) are inconsistent by sub-proof
% 195.69/32.67  | | | | | | | | | | | | | | | | | |            #1464.
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | |   (120)  all_54_12 = e0
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (120) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | | | |   (121)  all_52_3 = e0
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | SIMP: (121) implies:
% 195.69/32.67  | | | | | | | | | | | | | | | | | |   (122)  all_52_3 = e0
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | REDUCE: (21), (122) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | | | |   (123)   ~ (all_52_7 = e0)
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | SIMP: (123) implies:
% 195.69/32.67  | | | | | | | | | | | | | | | | | |   (124)   ~ (all_52_7 = e0)
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | REDUCE: (10), (122) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | | | |   (125)   ~ (e3 = e0)
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | REDUCE: (9), (122) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | | | |   (126)   ~ (e2 = e0)
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | REDUCE: (4), (122) imply:
% 195.69/32.67  | | | | | | | | | | | | | | | | | |   (127)   ~ (e1 = e0)
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 195.69/32.67  | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |   (128)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.67  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.67  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 195.69/32.67  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.67  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.67  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |   (129)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |   (130)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (18), (56), (117), (130) are
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1673.
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |   (131)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (39), (50), (56), (92), (131) are
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #637.
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |   (132)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |   (133)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (33), (38), (39), (61), (63), (133) are
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #636.
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |   (134)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15), (16), (58), (118), (134) are
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #635.
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |   (135)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |   (136)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |   (137)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (27), (60), (113), (124), (137) are
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #634.
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |   (138)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16), (28), (37), (138) are inconsistent by
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1514.
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |   (139)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |   (140)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |   (141)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |   (142)  op(e3, e3) = e3
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (16), (38), (42), (43),
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |            (50), (56), (57), (59), (61), (63), (103), (142)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1434.
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |   (143)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |   (144)  op(e2, e2) = e2
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (15), (16), (23), (28), (32), (34), (37),
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |            (38), (43), (44), (50), (56), (57), (59), (60),
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |            (61), (63), (75), (83), (144) are inconsistent by
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #633.
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |   (145)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (38), (43), (55), (63), (145) are
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #652.
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | |   (146)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.69/32.68  | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (24), (58), (112), (146) are inconsistent by
% 195.69/32.68  | | | | | | | | | | | | | | | | |            sub-proof #951.
% 195.69/32.68  | | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | |   (147)  all_54_11 = e1 | all_54_11 = e0
% 195.69/32.68  | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (37), (41), (147) are inconsistent by
% 195.69/32.68  | | | | | | | | | | | | | | | |            sub-proof #1336.
% 195.69/32.68  | | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | |   (148)  all_56_13 = e3 & op(e0, e2) = e3
% 195.69/32.68  | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | ALPHA: (148) implies:
% 195.69/32.68  | | | | | | | | | | | | |   (149)  op(e0, e2) = e3
% 195.69/32.68  | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | | REF_CLOSE: (16), (53), (60), (149) are inconsistent by
% 195.69/32.68  | | | | | | | | | | | | |            sub-proof #783.
% 195.69/32.68  | | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | |   (150)  all_56_9 = e3 & op(e3, e0) = e3
% 195.69/32.68  | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | ALPHA: (150) implies:
% 195.69/32.68  | | | | | | | | | | |   (151)  op(e3, e0) = e3
% 195.69/32.68  | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | | REF_CLOSE: (16), (35), (52), (151) are inconsistent by
% 195.69/32.68  | | | | | | | | | | |            sub-proof #1964.
% 195.69/32.68  | | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | 
% 195.69/32.68  | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | 
% 195.69/32.68  | | | | | | | |   (152)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 &
% 195.69/32.68  | | | | | | | |            op(e3, e0) = e0)
% 195.69/32.68  | | | | | | | | 
% 195.69/32.68  | | | | | | | | BETA: splitting (152) gives:
% 195.69/32.68  | | | | | | | | 
% 195.69/32.68  | | | | | | | | Case 1:
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | |   (153)  all_56_4 = e0 & op(e3, e1) = e0
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | ALPHA: (153) implies:
% 195.69/32.68  | | | | | | | | |   (154)  all_56_4 = e0
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | REF_CLOSE: (15), (16), (20), (38), (46), (47), (50), (56),
% 195.69/32.68  | | | | | | | | |            (61), (63), (154) are inconsistent by sub-proof
% 195.69/32.68  | | | | | | | | |            #1810.
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | Case 2:
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | |   (155)  all_56_9 = e0 & op(e3, e0) = e0
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | ALPHA: (155) implies:
% 195.69/32.68  | | | | | | | | |   (156)  all_56_9 = e0
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | COMBINE_EQS: (78), (156) imply:
% 195.69/32.68  | | | | | | | | |   (157)  e1 = e0
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | COMBINE_EQS: (44), (157) imply:
% 195.69/32.68  | | | | | | | | |   (158)  all_56_6 = e0
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | | REF_CLOSE: (15), (16), (28), (32), (37), (38), (43), (50),
% 195.69/32.68  | | | | | | | | |            (56), (57), (59), (61), (63), (158) are
% 195.69/32.68  | | | | | | | | |            inconsistent by sub-proof #1527.
% 195.69/32.68  | | | | | | | | | 
% 195.69/32.68  | | | | | | | | End of split
% 195.69/32.68  | | | | | | | | 
% 195.69/32.68  | | | | | | | End of split
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | Case 2:
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | |   (159)  all_56_10 = e1 & op(e2, e0) = e1
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | | ALPHA: (159) implies:
% 195.69/32.68  | | | | | | |   (160)  op(e2, e0) = e1
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | | REF_CLOSE: (16), (27), (31), (160) are inconsistent by sub-proof
% 195.69/32.68  | | | | | | |            #1650.
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | End of split
% 195.69/32.68  | | | | | | 
% 195.69/32.68  | | | | | Case 2:
% 195.69/32.68  | | | | | | 
% 195.69/32.68  | | | | | |   (161)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 195.69/32.68  | | | | | |            op(e0, e0) = e1)
% 195.69/32.68  | | | | | | 
% 195.69/32.68  | | | | | | BETA: splitting (161) gives:
% 195.69/32.68  | | | | | | 
% 195.69/32.68  | | | | | | Case 1:
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | |   (162)  all_56_11 = e1 & op(e1, e0) = e1
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | | ALPHA: (162) implies:
% 195.69/32.68  | | | | | | |   (163)  all_56_11 = e1
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | | REF_CLOSE: (15), (16), (25), (28), (38), (44), (50), (56), (57),
% 195.69/32.68  | | | | | | |            (59), (61), (63), (163) are inconsistent by sub-proof
% 195.69/32.68  | | | | | | |            #632.
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | Case 2:
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | |   (164)  all_56_15 = e1 & op(e0, e0) = e1
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | | ALPHA: (164) implies:
% 195.69/32.68  | | | | | | |   (165)  op(e0, e0) = e1
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | | REF_CLOSE: (16), (55), (56), (165) are inconsistent by sub-proof
% 195.69/32.68  | | | | | | |            #1392.
% 195.69/32.68  | | | | | | | 
% 195.69/32.68  | | | | | | End of split
% 195.69/32.68  | | | | | | 
% 195.69/32.68  | | | | | End of split
% 195.69/32.68  | | | | | 
% 195.69/32.68  | | | | Case 2:
% 195.69/32.68  | | | | | 
% 195.69/32.68  | | | | |   (166)  all_56_15 = e2 & op(e0, e0) = e2
% 195.69/32.68  | | | | | 
% 195.69/32.68  | | | | | ALPHA: (166) implies:
% 195.69/32.68  | | | | |   (167)  op(e0, e0) = e2
% 195.69/32.68  | | | | | 
% 195.69/32.68  | | | | | REF_CLOSE: (15), (16), (55), (167) are inconsistent by sub-proof
% 195.69/32.68  | | | | |            #1692.
% 195.69/32.68  | | | | | 
% 195.69/32.68  | | | | End of split
% 195.69/32.68  | | | | 
% 195.69/32.68  | | | End of split
% 195.69/32.68  | | | 
% 195.69/32.68  | | End of split
% 195.69/32.68  | | 
% 195.69/32.68  | End of split
% 195.69/32.68  | 
% 195.69/32.68  End of proof
% 195.69/32.68  
% 195.69/32.68  Sub-proof #632 shows that the following formulas are inconsistent:
% 195.69/32.68  ----------------------------------------------------------------
% 195.69/32.68    (1)  all_56_11 = e1
% 195.69/32.68    (2)   ~ (e3 = e2)
% 195.69/32.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.68    (4)   ~ (all_52_14 = e3)
% 195.69/32.68    (5)  op(e1, e0) = all_52_14
% 195.69/32.68    (6)  op(e1, e1) = e0
% 195.69/32.68    (7)  all_56_6 = e1
% 195.69/32.68    (8)   ~ (e2 = e1)
% 195.69/32.68    (9)   ~ (e3 = e1)
% 195.69/32.68    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.69/32.68          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.69/32.68    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.68          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.68    (12)   ~ (e2 = e0)
% 195.69/32.68    (13)   ~ (e3 = e0)
% 195.69/32.68  
% 195.69/32.68  Begin of proof
% 195.69/32.68  | 
% 195.69/32.68  | BETA: splitting (11) gives:
% 195.69/32.68  | 
% 195.69/32.68  | Case 1:
% 195.69/32.68  | | 
% 195.69/32.68  | |   (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 195.69/32.68  | |           e3)
% 195.69/32.68  | | 
% 195.69/32.68  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (12), (14) are
% 195.69/32.68  | |            inconsistent by sub-proof #1612.
% 195.69/32.68  | | 
% 195.69/32.68  | Case 2:
% 195.69/32.68  | | 
% 195.69/32.68  | |   (15)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 195.69/32.68  | |           e3)
% 195.69/32.68  | | 
% 195.69/32.68  | | REF_CLOSE: (3), (4), (5), (6), (13), (15) are inconsistent by sub-proof
% 195.69/32.68  | |            #1406.
% 195.69/32.68  | | 
% 195.69/32.68  | End of split
% 195.69/32.68  | 
% 195.69/32.68  End of proof
% 195.69/32.68  
% 195.69/32.68  Sub-proof #633 shows that the following formulas are inconsistent:
% 195.69/32.68  ----------------------------------------------------------------
% 195.69/32.68    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.69/32.68         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.69/32.68    (2)   ~ (e3 = e2)
% 195.69/32.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.68    (4)  all_56_11 = e2
% 195.69/32.68    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.69/32.68         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.69/32.68    (6)  op(e1, e0) = all_52_14
% 195.69/32.68    (7)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.69/32.68         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.69/32.68    (8)   ~ (all_52_7 = e1)
% 195.69/32.68    (9)  all_56_1 = e0
% 195.69/32.68    (10)   ~ (all_52_14 = e1)
% 195.69/32.68    (11)  op(e1, e1) = e0
% 195.69/32.68    (12)   ~ (e1 = e0)
% 195.69/32.68    (13)  all_56_6 = e1
% 195.69/32.68    (14)   ~ (e2 = e1)
% 195.69/32.68    (15)  op(e2, e2) = e2
% 195.69/32.68    (16)   ~ (e3 = e1)
% 195.69/32.68    (17)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.69/32.68          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.69/32.68    (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.68          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.68    (19)  op(e0, e2) = all_52_7
% 195.69/32.68    (20)   ~ (e2 = e0)
% 195.69/32.68    (21)   ~ (e3 = e0)
% 195.69/32.68  
% 195.69/32.68  Begin of proof
% 195.69/32.68  | 
% 195.69/32.68  | BETA: splitting (1) gives:
% 195.69/32.68  | 
% 195.69/32.68  | Case 1:
% 195.69/32.68  | | 
% 195.69/32.68  | |   (22)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 195.69/32.68  | |           e1)
% 195.69/32.68  | | 
% 195.69/32.68  | | BETA: splitting (22) gives:
% 195.69/32.68  | | 
% 195.69/32.68  | | Case 1:
% 195.69/32.68  | | | 
% 195.69/32.68  | | |   (23)  all_56_1 = e1 & op(e3, e2) = e1
% 195.69/32.68  | | | 
% 195.69/32.68  | | | ALPHA: (23) implies:
% 195.69/32.68  | | |   (24)  all_56_1 = e1
% 195.69/32.68  | | | 
% 195.69/32.68  | | | COMBINE_EQS: (9), (24) imply:
% 195.69/32.68  | | |   (25)  e1 = e0
% 195.69/32.68  | | | 
% 195.69/32.68  | | | COMBINE_EQS: (13), (25) imply:
% 195.69/32.68  | | |   (26)  all_56_6 = e0
% 195.69/32.68  | | | 
% 195.69/32.68  | | | REF_CLOSE: (2), (3), (6), (7), (10), (11), (12), (14), (16), (17), (18),
% 195.69/32.68  | | |            (20), (21), (26) are inconsistent by sub-proof #1527.
% 195.69/32.68  | | | 
% 195.69/32.68  | | Case 2:
% 195.69/32.68  | | | 
% 195.69/32.68  | | |   (27)  all_56_3 = e1 & op(e2, e2) = e1
% 195.69/32.68  | | | 
% 195.69/32.68  | | | ALPHA: (27) implies:
% 195.69/32.68  | | |   (28)  op(e2, e2) = e1
% 195.69/32.68  | | | 
% 195.69/32.68  | | | REF_CLOSE: (3), (14), (15), (28) are inconsistent by sub-proof #1783.
% 195.69/32.68  | | | 
% 195.69/32.68  | | End of split
% 195.69/32.68  | | 
% 195.69/32.68  | Case 2:
% 195.69/32.68  | | 
% 195.69/32.68  | |   (29)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 195.69/32.68  | |           e1)
% 195.69/32.68  | | 
% 195.69/32.68  | | BETA: splitting (29) gives:
% 195.69/32.68  | | 
% 195.69/32.68  | | Case 1:
% 195.69/32.68  | | | 
% 195.69/32.68  | | |   (30)  all_56_7 = e1 & op(e1, e2) = e1
% 195.69/32.68  | | | 
% 195.69/32.68  | | | ALPHA: (30) implies:
% 195.69/32.68  | | |   (31)  all_56_7 = e1
% 195.69/32.68  | | | 
% 195.69/32.68  | | | REF_CLOSE: (2), (3), (4), (5), (12), (13), (16), (18), (20), (21), (31)
% 195.69/32.68  | | |            are inconsistent by sub-proof #1562.
% 195.69/32.68  | | | 
% 195.69/32.68  | | Case 2:
% 195.69/32.68  | | | 
% 195.69/32.68  | | |   (32)  all_56_13 = e1 & op(e0, e2) = e1
% 195.69/32.68  | | | 
% 195.69/32.68  | | | ALPHA: (32) implies:
% 195.69/32.68  | | |   (33)  op(e0, e2) = e1
% 195.69/32.68  | | | 
% 195.69/32.68  | | | REF_CLOSE: (3), (8), (19), (33) are inconsistent by sub-proof #1649.
% 195.69/32.68  | | | 
% 195.69/32.68  | | End of split
% 195.69/32.68  | | 
% 195.69/32.68  | End of split
% 195.69/32.68  | 
% 195.69/32.68  End of proof
% 195.69/32.68  
% 195.69/32.68  Sub-proof #634 shows that the following formulas are inconsistent:
% 195.69/32.68  ----------------------------------------------------------------
% 195.69/32.68    (1)   ~ (all_52_7 = e0)
% 195.69/32.68    (2)   ~ (all_52_13 = e2)
% 195.69/32.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.68    (4)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.68           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.68           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.68                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.69/32.68               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.68               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.69/32.68           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.69/32.68             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.68               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.68           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.68               = all_57_4 & $i(all_57_4))))
% 195.69/32.68    (5)  op(e2, e0) = all_52_13
% 195.69/32.68    (6)  op(e0, e2) = all_52_7
% 195.69/32.68  
% 195.69/32.68  Begin of proof
% 195.69/32.68  | 
% 195.69/32.68  | BETA: splitting (4) gives:
% 195.69/32.68  | 
% 195.69/32.68  | Case 1:
% 195.69/32.68  | | 
% 195.69/32.69  | |   (7)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.69  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.69  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.69  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 195.69/32.69  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.69/32.69  | |            all_57_13 & $i(all_57_13)))
% 195.69/32.69  | | 
% 195.69/32.69  | | ALPHA: (7) implies:
% 195.69/32.69  | |   (8)  op(e2, e0) = e2
% 195.69/32.69  | | 
% 195.69/32.69  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1662.
% 195.69/32.69  | | 
% 195.69/32.69  | Case 2:
% 195.69/32.69  | | 
% 195.69/32.69  | |   (9)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.69/32.69  | |        all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.69  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 195.69/32.69  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.69  | |            & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 195.69/32.69  | |            & $i(all_57_4)))
% 195.69/32.69  | | 
% 195.69/32.69  | | ALPHA: (9) implies:
% 195.69/32.69  | |   (10)  op(e0, e2) = e0
% 195.69/32.69  | | 
% 195.69/32.69  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #818.
% 195.69/32.69  | | 
% 195.69/32.69  | End of split
% 195.69/32.69  | 
% 195.69/32.69  End of proof
% 195.69/32.69  
% 195.69/32.69  Sub-proof #635 shows that the following formulas are inconsistent:
% 195.69/32.69  ----------------------------------------------------------------
% 195.69/32.69    (1)  op(e1, e2) = all_52_6
% 195.69/32.69    (2)  op(e1, e2) = e3
% 195.69/32.69    (3)   ~ (e3 = e2)
% 195.69/32.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.69    (5)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.69/32.69           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.69/32.69           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.69/32.69                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 195.69/32.69               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.69/32.69               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.69           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 195.69/32.69           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.69               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.69           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 195.69/32.69               = all_57_5 & $i(all_57_5))))
% 195.69/32.69    (6)   ~ (all_52_6 = e1)
% 195.69/32.69  
% 195.69/32.69  Begin of proof
% 195.69/32.69  | 
% 195.69/32.69  | BETA: splitting (5) gives:
% 195.69/32.69  | 
% 195.69/32.69  | Case 1:
% 195.69/32.69  | | 
% 195.69/32.69  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.69/32.69  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.69/32.69  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.69/32.69  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 195.69/32.69  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 195.69/32.69  | |            & $i(all_57_8)))
% 195.69/32.69  | | 
% 195.69/32.69  | | ALPHA: (7) implies:
% 195.69/32.69  | |   (8)  op(e1, e2) = e2
% 195.69/32.69  | | 
% 195.69/32.69  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #823.
% 195.69/32.69  | | 
% 195.69/32.69  | Case 2:
% 195.69/32.69  | | 
% 195.69/32.69  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 195.69/32.69  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.69  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 195.69/32.69  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.69  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 195.69/32.69  | |            & $i(all_57_5)))
% 195.69/32.69  | | 
% 195.69/32.69  | | ALPHA: (9) implies:
% 195.69/32.69  | |   (10)  op(e1, e2) = e1
% 195.69/32.69  | | 
% 195.69/32.69  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1970.
% 195.69/32.69  | | 
% 195.69/32.69  | End of split
% 195.69/32.69  | 
% 195.69/32.69  End of proof
% 195.69/32.69  
% 195.69/32.69  Sub-proof #636 shows that the following formulas are inconsistent:
% 195.69/32.69  ----------------------------------------------------------------
% 195.69/32.69    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.69    (2)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.69           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.69           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.69/32.69                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.69/32.69               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.69/32.69               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.69/32.69           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.69/32.69           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.69             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.69           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.69               = all_57_1 & $i(all_57_1))))
% 195.69/32.69    (3)  op(e1, e3) = e1
% 195.69/32.69    (4)  op(e1, e1) = e0
% 195.69/32.69    (5)  op(e3, e3) = e2
% 195.69/32.69    (6)   ~ (e2 = e0)
% 195.69/32.69    (7)   ~ (e3 = e0)
% 195.69/32.69  
% 195.69/32.69  Begin of proof
% 195.69/32.69  | 
% 195.69/32.69  | BETA: splitting (2) gives:
% 195.69/32.69  | 
% 195.69/32.69  | Case 1:
% 195.69/32.69  | | 
% 195.69/32.69  | |   (8)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.69  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.69  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 195.69/32.69  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 195.69/32.69  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.69/32.69  | |            all_57_13 & $i(all_57_13)))
% 195.69/32.69  | | 
% 195.69/32.69  | | ALPHA: (8) implies:
% 195.69/32.69  | |   (9)  op(e3, e3) = e0
% 195.69/32.69  | | 
% 195.69/32.69  | | REF_CLOSE: (1), (5), (6), (9) are inconsistent by sub-proof #833.
% 195.69/32.69  | | 
% 195.69/32.69  | Case 2:
% 195.69/32.69  | | 
% 195.69/32.69  | |   (10)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 195.69/32.69  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.69  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.69/32.69  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 195.69/32.69  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.69  | |             all_57_1 & $i(all_57_1)))
% 195.69/32.69  | | 
% 195.69/32.69  | | ALPHA: (10) implies:
% 195.69/32.69  | |   (11)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 195.69/32.69  | |             e3) = all_57_1 & $i(all_57_1))
% 195.69/32.69  | | 
% 195.69/32.69  | | REF_CLOSE: (1), (3), (4), (7), (11) are inconsistent by sub-proof #1325.
% 195.69/32.69  | | 
% 195.69/32.69  | End of split
% 195.69/32.69  | 
% 195.69/32.69  End of proof
% 195.69/32.69  
% 195.69/32.69  Sub-proof #637 shows that the following formulas are inconsistent:
% 195.69/32.69  ----------------------------------------------------------------
% 195.69/32.69    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.69    (2)  op(e3, e1) = e3
% 195.69/32.69    (3)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.69/32.69           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.69/32.69           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.69/32.69                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.69/32.69               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.69/32.69               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.69           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 195.69/32.69           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.69/32.69               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.69           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.69/32.69               = all_57_2 & $i(all_57_2))))
% 195.69/32.69    (4)  op(e3, e3) = e2
% 195.69/32.69    (5)   ~ (e2 = e1)
% 195.69/32.69    (6)   ~ (e3 = e1)
% 195.69/32.69  
% 195.69/32.69  Begin of proof
% 195.69/32.69  | 
% 195.69/32.69  | BETA: splitting (3) gives:
% 195.69/32.69  | 
% 195.69/32.69  | Case 1:
% 195.69/32.69  | | 
% 195.69/32.69  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.69/32.69  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.69/32.69  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 195.69/32.69  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 195.69/32.69  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 195.69/32.69  | |            & $i(all_57_8)))
% 195.69/32.69  | | 
% 195.69/32.69  | | ALPHA: (7) implies:
% 195.69/32.69  | |   (8)  op(e3, e3) = e1
% 195.69/32.69  | | 
% 195.69/32.69  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1934.
% 195.69/32.69  | | 
% 195.69/32.69  | Case 2:
% 195.69/32.69  | | 
% 195.69/32.69  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.69/32.69  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.69  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 195.69/32.69  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.69  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 195.69/32.69  | |            & $i(all_57_2)))
% 195.69/32.69  | | 
% 195.69/32.69  | | ALPHA: (9) implies:
% 195.69/32.69  | |   (10)  op(e3, e1) = e1
% 195.69/32.69  | | 
% 195.69/32.69  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1624.
% 195.69/32.69  | | 
% 195.69/32.69  | End of split
% 195.69/32.69  | 
% 195.69/32.69  End of proof
% 195.69/32.69  
% 195.69/32.69  Sub-proof #638 shows that the following formulas are inconsistent:
% 195.69/32.69  ----------------------------------------------------------------
% 195.69/32.69    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.69/32.69           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.69/32.69           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.69/32.69                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.69/32.69               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.69               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.69           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.69/32.69           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.69               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.69/32.69           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.69/32.69               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.69/32.69           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.69/32.69           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.69/32.69               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.69               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.69               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.69         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.69/32.69           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.69           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.69/32.69               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.69             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.69         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.69           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.69           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.69/32.69                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.69/32.69               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.69/32.69               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.69/32.69           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.69/32.69           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.69             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.69           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.69               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.69/32.69           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.69/32.69           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.69/32.69               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.69               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.69               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.69         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.69/32.69           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.69/32.69           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.69/32.69               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.69             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.69         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.69           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.69           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.69                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.69/32.69               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.69               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.69/32.69           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.69/32.69             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.69               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.69           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.69               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.69/32.69           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.69/32.69           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.69/32.69               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.69               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.69               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.69         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.69/32.69           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.69/32.69           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.69/32.69               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.69/32.69             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.69         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.69             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.69           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.69               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.69             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.69         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.69/32.69             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.69           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.69               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.69             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.69         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.69/32.69             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.69           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.69/32.69               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.69/32.69             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.69         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.69/32.69             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.69           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.69/32.69               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.69/32.69             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.69    (2)  all_54_4 = all_52_1
% 195.69/32.69    (3)   ~ (all_52_13 = e3)
% 195.69/32.69    (4)  op(e1, e2) = all_52_6
% 195.69/32.69    (5)  all_54_7 = all_52_13
% 195.69/32.69    (6)   ~ (all_52_14 = e0)
% 195.69/32.69    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.69/32.69         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.69/32.69    (8)   ~ (all_52_3 = e2)
% 195.69/32.69    (9)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 195.69/32.69           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 195.69/32.69             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 195.69/32.69    (10)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 195.69/32.69    (11)  all_54_3 = all_52_12
% 195.69/32.69    (12)   ~ (all_52_3 = e3)
% 195.69/32.69    (13)  all_54_6 = all_52_9
% 195.69/32.69    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.69/32.69          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.69/32.69    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.69/32.69          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.69/32.69    (16)   ~ (all_52_1 = all_52_9)
% 195.69/32.69    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.69/32.69          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.69/32.69    (18)   ~ (all_52_6 = all_52_7)
% 195.69/32.69    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.69          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.69/32.69    (20)   ~ (all_52_2 = e0)
% 195.69/32.69    (21)  all_54_2 = all_52_8
% 195.69/32.69    (22)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.69/32.69          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.69/32.69    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.69            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.69    (24)   ~ (all_52_9 = e1)
% 195.69/32.69    (25)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 195.69/32.69            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 195.69/32.69              e1) = all_24_1 & $i(all_24_1))
% 195.69/32.69    (26)  op(e3, e2) = all_52_4
% 195.69/32.69    (27)  op(e2, e2) = e1
% 195.69/32.69    (28)  all_56_5 = e3
% 195.69/32.69    (29)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.69/32.69    (30)   ~ (all_52_7 = all_52_11)
% 195.69/32.69    (31)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 195.69/32.69          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.69/32.69    (32)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.69          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.69    (33)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.69          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.69    (34)  all_48_2 = e3
% 195.69/32.69    (35)   ~ (all_52_3 = all_52_7)
% 195.69/32.69    (36)  all_54_12 = all_52_3
% 195.69/32.69    (37)   ~ (all_52_4 = all_52_8)
% 195.69/32.69    (38)  all_54_13 = all_52_7
% 195.69/32.69    (39)   ~ (all_52_4 = all_52_7)
% 195.69/32.69    (40)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.69/32.69          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.69/32.69            e1)
% 195.69/32.69    (41)   ~ (all_52_14 = e3)
% 195.69/32.69    (42)  op(e0, e3) = all_52_3
% 195.69/32.69    (43)  all_56_14 = e2
% 195.69/32.69    (44)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.69/32.69          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.69/32.69            e2)
% 195.69/32.69    (45)  op(e2, e0) = all_52_13
% 195.69/32.69    (46)  op(e1, e0) = all_52_14
% 195.69/32.69    (47)  all_56_15 = e3
% 195.69/32.69    (48)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 195.69/32.69            all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0,
% 195.69/32.69              e3) = all_18_1 & $i(all_18_1))
% 195.69/32.69    (49)  all_54_8 = all_52_2
% 195.69/32.69    (50)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.69          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.69/32.69    (51)   ~ (all_52_8 = all_52_9)
% 195.69/32.69    (52)  op(e0, e2) = e0
% 195.69/32.69    (53)   ~ (all_52_4 = all_52_12)
% 195.69/32.69    (54)   ~ (all_52_13 = e1)
% 195.69/32.69    (55)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.69              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.69            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.69            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.69            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.69            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.69            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.69            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.69            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.69/32.69            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.69            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.69            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.69/32.69            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.69            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.69            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.69            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.69            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.69            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.69/32.69            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.69            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.69            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.69/32.69            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.69            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.69            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.69/32.69            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.69            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.69            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.69            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.69            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.69            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.69/32.69            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.69/32.69            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.69/32.69            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.69            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.69            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.69            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.69            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.69            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.69            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.69            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.69            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.69            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.69/32.69            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.69            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.69            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.69            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.69            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.69            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.69              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.69            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.69            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.69              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.69            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.69            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.69/32.69                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.69                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.69                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.69                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.69                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.69                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.69                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.69              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.69                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.69                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.69                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.69                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.69                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.69                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.69                $i(all_57_7))))
% 195.69/32.69    (56)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.69/32.69          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.69/32.69    (57)   ~ (all_52_12 = all_52_14)
% 195.69/32.69    (58)   ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 195.69/32.69            op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 =
% 195.69/32.69              e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 195.69/32.69    (59)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.69    (60)  op(e0, e1) = all_52_11
% 195.69/32.69    (61)   ~ (all_52_12 = e3)
% 195.69/32.69    (62)  op(e1, e1) = e0
% 195.69/32.69    (63)   ~ (all_52_1 = e1)
% 195.69/32.69    (64)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.69          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.69/32.69    (65)   ~ (all_52_8 = all_52_12)
% 195.69/32.69    (66)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.69/32.69    (67)  op(e3, e3) = e2
% 195.69/32.69    (68)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.69/32.69          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.69    (69)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.69/32.69    (70)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.69/32.69    (71)   ~ (e1 = e0)
% 195.69/32.69    (72)   ~ (all_52_1 = all_52_13)
% 195.69/32.69    (73)   ~ (all_52_8 = all_52_11)
% 195.69/32.69    (74)   ~ (all_52_4 = e1)
% 195.69/32.69    (75)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.69          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.69    (76)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.69/32.69    (77)   ~ (all_52_2 = all_52_6)
% 195.69/32.69    (78)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.69/32.69    (79)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.69/32.69    (80)   ~ (all_52_1 = e2)
% 195.69/32.69    (81)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.69              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.69/32.69                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.69/32.69                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.69/32.69    (82)   ~ (e2 = e1)
% 195.69/32.69    (83)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.69          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.69/32.69    (84)  all_54_14 = all_52_11
% 195.69/32.69    (85)   ~ (all_52_11 = e0)
% 195.69/32.69    (86)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.69/32.69    (87)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.69    (88)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.69/32.69          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.69/32.69    (89)  op(e3, e0) = all_52_12
% 195.69/32.69    (90)   ~ (all_52_2 = all_52_3)
% 195.69/32.69    (91)  all_44_2 = e1
% 195.69/32.69    (92)  op(e2, e1) = all_52_9
% 195.69/32.69    (93)   ~ (all_52_4 = all_52_6)
% 195.69/32.69    (94)   ~ (all_52_1 = all_52_3)
% 195.69/32.69    (95)  op(e3, e1) = all_52_8
% 195.69/32.69    (96)  op(e0, e0) = e3
% 195.69/32.69    (97)   ~ (all_52_9 = all_52_13)
% 195.69/32.69    (98)  all_54_1 = all_52_4
% 195.69/32.69    (99)   ~ (all_52_6 = e1)
% 195.69/32.69    (100)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.69           (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.69    (101)  op(e0, e2) = all_52_7
% 195.69/32.69    (102)   ~ (all_52_8 = e0)
% 195.69/32.69    (103)   ~ (all_52_3 = all_52_11)
% 195.69/32.69    (104)   ~ (all_52_9 = all_52_11)
% 195.69/32.69  
% 195.69/32.69  Begin of proof
% 195.69/32.69  | 
% 195.69/32.70  | BETA: splitting (33) gives:
% 195.69/32.70  | 
% 195.69/32.70  | Case 1:
% 195.69/32.70  | | 
% 195.69/32.70  | |   (105)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 195.69/32.70  | |            e1)
% 195.69/32.70  | | 
% 195.69/32.70  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 195.69/32.70  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 195.69/32.70  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 195.69/32.70  | |            (35), (36), (37), (38), (39), (40), (41), (42), (44), (45), (46),
% 195.69/32.70  | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 195.69/32.70  | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 195.69/32.70  | |            (69), (70), (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 195.69/32.70  | |            (81), (83), (84), (85), (86), (87), (88), (89), (90), (91), (92),
% 195.69/32.70  | |            (93), (94), (95), (96), (97), (98), (99), (100), (101), (102),
% 195.69/32.70  | |            (103), (104), (105) are inconsistent by sub-proof #639.
% 195.69/32.70  | | 
% 195.69/32.70  | Case 2:
% 195.69/32.70  | | 
% 195.69/32.70  | |   (106)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 195.69/32.70  | |            e1)
% 195.69/32.70  | | 
% 195.69/32.70  | | REF_CLOSE: (23), (43), (62), (71), (82), (106) are inconsistent by sub-proof
% 195.69/32.70  | |            #1509.
% 195.69/32.70  | | 
% 195.69/32.70  | End of split
% 195.69/32.70  | 
% 195.69/32.70  End of proof
% 195.69/32.70  
% 195.69/32.70  Sub-proof #639 shows that the following formulas are inconsistent:
% 195.69/32.70  ----------------------------------------------------------------
% 195.69/32.70    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.69/32.70           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.69/32.70           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.69/32.70                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.69/32.70               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.70               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.70           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.69/32.70           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.70               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.69/32.70           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.69/32.70               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.69/32.70           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.69/32.70           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.69/32.70               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.70               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.70               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.70         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.69/32.70           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.70           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.69/32.70               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.70             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.70         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.70           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.70           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.69/32.70                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.69/32.70               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.69/32.70               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.69/32.70           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.69/32.70           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.70             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.70           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.70               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.69/32.70           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.69/32.70           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.69/32.70               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.70               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.70               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.70         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.69/32.70           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.69/32.70           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.69/32.70               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.70             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.70         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.70           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.70           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.70                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.69/32.70               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.70               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.69/32.70           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.69/32.70             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.70               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.70           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.70               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.69/32.70           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.69/32.70           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.69/32.70               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.70               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.70               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.70         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.69/32.70           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.69/32.70           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.69/32.70               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.69/32.70             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.70         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.70             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.70           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.70               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.70             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.70         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.69/32.70             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.70           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.70               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.70             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.70         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.69/32.70             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.70           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.69/32.70               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.69/32.70             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.70         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.69/32.70             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.70           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.69/32.70               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.69/32.70             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.70    (2)  all_54_4 = all_52_1
% 195.69/32.70    (3)   ~ (all_52_13 = e3)
% 195.69/32.70    (4)  op(e1, e2) = all_52_6
% 195.69/32.70    (5)  all_54_7 = all_52_13
% 195.69/32.70    (6)   ~ (all_52_14 = e0)
% 195.69/32.70    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.69/32.70         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.69/32.70    (8)   ~ (all_52_3 = e2)
% 195.69/32.70    (9)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 195.69/32.70           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 195.69/32.70             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 195.69/32.70    (10)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 195.69/32.70    (11)  all_54_3 = all_52_12
% 195.69/32.70    (12)   ~ (all_52_3 = e3)
% 195.69/32.70    (13)  all_54_6 = all_52_9
% 195.69/32.70    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.69/32.70          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.69/32.70    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.69/32.70          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.69/32.70    (16)   ~ (all_52_1 = all_52_9)
% 195.69/32.70    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.69/32.70          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.69/32.70    (18)   ~ (all_52_6 = all_52_7)
% 195.69/32.70    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.70          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.69/32.70    (20)   ~ (all_52_2 = e0)
% 195.69/32.70    (21)  all_54_2 = all_52_8
% 195.69/32.70    (22)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.69/32.70          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.69/32.70    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.70            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.70    (24)   ~ (all_52_9 = e1)
% 195.69/32.70    (25)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 195.69/32.70            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 195.69/32.70              e1) = all_24_1 & $i(all_24_1))
% 195.69/32.70    (26)  op(e3, e2) = all_52_4
% 195.69/32.70    (27)  op(e2, e2) = e1
% 195.69/32.70    (28)  all_56_5 = e3
% 195.69/32.70    (29)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.69/32.70    (30)   ~ (all_52_7 = all_52_11)
% 195.69/32.70    (31)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 195.69/32.70          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.69/32.70    (32)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.70          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.70    (33)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.70          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.70    (34)  all_48_2 = e3
% 195.69/32.70    (35)   ~ (all_52_3 = all_52_7)
% 195.69/32.70    (36)  all_54_12 = all_52_3
% 195.69/32.70    (37)   ~ (all_52_4 = all_52_8)
% 195.69/32.70    (38)  all_54_13 = all_52_7
% 195.69/32.70    (39)   ~ (all_52_4 = all_52_7)
% 195.69/32.70    (40)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.69/32.70          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.69/32.70            e1)
% 195.69/32.70    (41)   ~ (all_52_14 = e3)
% 195.69/32.70    (42)  op(e0, e3) = all_52_3
% 195.69/32.70    (43)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.69/32.70          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.69/32.70            e2)
% 195.69/32.70    (44)  op(e2, e0) = all_52_13
% 195.69/32.70    (45)  op(e1, e0) = all_52_14
% 195.69/32.70    (46)  all_56_15 = e3
% 195.69/32.70    (47)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 195.69/32.70            all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0,
% 195.69/32.70              e3) = all_18_1 & $i(all_18_1))
% 195.69/32.70    (48)  all_54_8 = all_52_2
% 195.69/32.70    (49)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.70          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.69/32.70    (50)   ~ (all_52_8 = all_52_9)
% 195.69/32.70    (51)  op(e0, e2) = e0
% 195.69/32.70    (52)   ~ (all_52_4 = all_52_12)
% 195.69/32.70    (53)   ~ (all_52_13 = e1)
% 195.69/32.70    (54)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.70              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.70            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.70            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.70            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.70            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.70            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.70            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.70            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.69/32.70            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.70            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.70            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.69/32.70            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.70            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.70            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.70            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.70            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.70            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.69/32.70            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.70            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.70            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.69/32.70            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.70            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.70            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.69/32.70            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.70            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.70            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.70            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.70            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.70            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.69/32.70            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.69/32.70            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.69/32.70            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.70            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.70            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.70            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.70            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.70            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.70            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.70            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.70            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.70            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.69/32.70            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.70            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.70            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.70            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.70            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.70            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.70              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.70            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.70            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.70              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.70            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.70            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.69/32.70                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.70                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.70                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.70                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.70                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.70                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.70                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.70              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.70                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.70                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.70                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.70                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.70                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.70                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.70                $i(all_57_7))))
% 195.69/32.70    (55)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.69/32.70          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.69/32.70    (56)   ~ (all_52_12 = all_52_14)
% 195.69/32.70    (57)   ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 195.69/32.70            op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 =
% 195.69/32.70              e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 195.69/32.70    (58)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.70    (59)  op(e0, e1) = all_52_11
% 195.69/32.70    (60)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 195.69/32.70    (61)   ~ (all_52_12 = e3)
% 195.69/32.70    (62)  op(e1, e1) = e0
% 195.69/32.70    (63)   ~ (all_52_1 = e1)
% 195.69/32.70    (64)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.70          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.69/32.70    (65)   ~ (all_52_8 = all_52_12)
% 195.69/32.70    (66)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.69/32.70    (67)  op(e3, e3) = e2
% 195.69/32.70    (68)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.69/32.70          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.70    (69)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.69/32.70    (70)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.69/32.70    (71)   ~ (all_52_1 = all_52_13)
% 195.69/32.70    (72)   ~ (all_52_8 = all_52_11)
% 195.69/32.70    (73)   ~ (all_52_4 = e1)
% 195.69/32.70    (74)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.70          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.70    (75)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.69/32.70    (76)   ~ (all_52_2 = all_52_6)
% 195.69/32.70    (77)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.69/32.70    (78)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.69/32.70    (79)   ~ (all_52_1 = e2)
% 195.69/32.70    (80)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.70              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.69/32.70                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.69/32.70                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.69/32.70    (81)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.70          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.69/32.70    (82)  all_54_14 = all_52_11
% 195.69/32.70    (83)   ~ (all_52_11 = e0)
% 195.69/32.70    (84)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.69/32.70    (85)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.70    (86)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.69/32.70          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.69/32.70    (87)  op(e3, e0) = all_52_12
% 195.69/32.70    (88)   ~ (all_52_2 = all_52_3)
% 195.69/32.70    (89)  all_44_2 = e1
% 195.69/32.70    (90)  op(e2, e1) = all_52_9
% 195.69/32.70    (91)   ~ (all_52_4 = all_52_6)
% 195.69/32.70    (92)   ~ (all_52_1 = all_52_3)
% 195.69/32.70    (93)  op(e3, e1) = all_52_8
% 195.69/32.70    (94)  op(e0, e0) = e3
% 195.69/32.70    (95)   ~ (all_52_9 = all_52_13)
% 195.69/32.70    (96)  all_54_1 = all_52_4
% 195.69/32.70    (97)   ~ (all_52_6 = e1)
% 195.69/32.70    (98)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.70          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.70    (99)  op(e0, e2) = all_52_7
% 195.69/32.70    (100)   ~ (all_52_8 = e0)
% 195.69/32.70    (101)   ~ (all_52_3 = all_52_11)
% 195.69/32.70    (102)   ~ (all_52_9 = all_52_11)
% 195.69/32.70  
% 195.69/32.70  Begin of proof
% 195.69/32.70  | 
% 195.69/32.70  | BETA: splitting (60) gives:
% 195.69/32.70  | 
% 195.69/32.70  | Case 1:
% 195.69/32.70  | | 
% 195.69/32.70  | |   (103)  all_56_4 = e1 & op(e3, e1) = e1
% 195.69/32.70  | | 
% 195.69/32.70  | | ALPHA: (103) implies:
% 195.69/32.70  | |   (104)  all_56_4 = e1
% 195.69/32.70  | | 
% 195.69/32.70  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 195.69/32.70  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 195.69/32.70  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 195.69/32.70  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 195.69/32.70  | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 195.69/32.70  | |            (57), (58), (59), (61), (62), (63), (64), (65), (66), (67), (68),
% 195.69/32.70  | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), (79),
% 195.69/32.70  | |            (80), (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 195.69/32.70  | |            (91), (92), (93), (94), (95), (96), (97), (98), (99), (100),
% 195.69/32.70  | |            (101), (102), (104) are inconsistent by sub-proof #640.
% 195.69/32.70  | | 
% 195.69/32.70  | Case 2:
% 195.69/32.70  | | 
% 195.69/32.70  | |   (105)  all_56_5 = e1 & op(e2, e1) = e1
% 195.69/32.70  | | 
% 195.69/32.70  | | ALPHA: (105) implies:
% 195.69/32.70  | |   (106)  op(e2, e1) = e1
% 195.69/32.70  | | 
% 195.69/32.70  | | REF_CLOSE: (23), (24), (90), (106) are inconsistent by sub-proof #1755.
% 195.69/32.70  | | 
% 195.69/32.70  | End of split
% 195.69/32.70  | 
% 195.69/32.70  End of proof
% 195.69/32.70  
% 195.69/32.70  Sub-proof #640 shows that the following formulas are inconsistent:
% 195.69/32.70  ----------------------------------------------------------------
% 195.69/32.70    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.69/32.70           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.69/32.70           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.69/32.70                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.69/32.70               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.70               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.70           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.69/32.70           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.70               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.69/32.70           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.69/32.70               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.69/32.70           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.69/32.70           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.69/32.70               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.70               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.70               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.70         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.69/32.70           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.70           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.69/32.70               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.70             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.70         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.70           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.70           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.69/32.70                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.69/32.70               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.69/32.70               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.69/32.70           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.69/32.70           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.70             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.70           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.70               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.69/32.70           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.69/32.70           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.69/32.70               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.70               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.70               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.70         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.69/32.70           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.69/32.70           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.69/32.70               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.70             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.70         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.70           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.70           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.70                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.69/32.70               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.70               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.69/32.70           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.69/32.70             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.70               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.70           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.70               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.69/32.70           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.69/32.70           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.69/32.70               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.70               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.70               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.70         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.69/32.70           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.69/32.70           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.69/32.70               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.69/32.70             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.70         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.70             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.70           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.70               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.70             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.70         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.69/32.70             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.70           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.70               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.70             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.70         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.69/32.70             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.70           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.69/32.70               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.69/32.70             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.70         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.69/32.70             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.70           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.69/32.70               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.69/32.70             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.70    (2)  all_54_4 = all_52_1
% 195.69/32.70    (3)   ~ (all_52_13 = e3)
% 195.69/32.70    (4)  op(e1, e2) = all_52_6
% 195.69/32.70    (5)  all_54_7 = all_52_13
% 195.69/32.70    (6)   ~ (all_52_14 = e0)
% 195.69/32.70    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.69/32.70         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.69/32.70    (8)   ~ (all_52_3 = e2)
% 195.69/32.70    (9)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 195.69/32.70           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 195.69/32.70             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 195.69/32.70    (10)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 195.69/32.70    (11)  all_54_3 = all_52_12
% 195.69/32.70    (12)   ~ (all_52_3 = e3)
% 195.69/32.70    (13)  all_54_6 = all_52_9
% 195.69/32.70    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.69/32.71          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.69/32.71    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.69/32.71          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.69/32.71    (16)   ~ (all_52_1 = all_52_9)
% 195.69/32.71    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 195.69/32.71          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 195.69/32.71    (18)   ~ (all_52_6 = all_52_7)
% 195.69/32.71    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.71          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.69/32.71    (20)   ~ (all_52_2 = e0)
% 195.69/32.71    (21)  all_54_2 = all_52_8
% 195.69/32.71    (22)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.69/32.71          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.69/32.71    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.71            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.71    (24)   ~ (all_52_9 = e1)
% 195.69/32.71    (25)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 195.69/32.71            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 195.69/32.71              e1) = all_24_1 & $i(all_24_1))
% 195.69/32.71    (26)  op(e3, e2) = all_52_4
% 195.69/32.71    (27)  op(e2, e2) = e1
% 195.69/32.71    (28)  all_56_5 = e3
% 195.69/32.71    (29)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.69/32.71    (30)   ~ (all_52_7 = all_52_11)
% 195.69/32.71    (31)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 195.69/32.71          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.69/32.71    (32)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.71          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.71    (33)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.71          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.71    (34)  all_48_2 = e3
% 195.69/32.71    (35)   ~ (all_52_3 = all_52_7)
% 195.69/32.71    (36)  all_54_12 = all_52_3
% 195.69/32.71    (37)   ~ (all_52_4 = all_52_8)
% 195.69/32.71    (38)  all_54_13 = all_52_7
% 195.69/32.71    (39)   ~ (all_52_4 = all_52_7)
% 195.69/32.71    (40)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.69/32.71          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.69/32.71            e1)
% 195.69/32.71    (41)   ~ (all_52_14 = e3)
% 195.69/32.71    (42)  op(e0, e3) = all_52_3
% 195.69/32.71    (43)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.69/32.71          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.69/32.71            e2)
% 195.69/32.71    (44)  op(e2, e0) = all_52_13
% 195.69/32.71    (45)  op(e1, e0) = all_52_14
% 195.69/32.71    (46)  all_56_15 = e3
% 195.69/32.71    (47)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 195.69/32.71            all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0,
% 195.69/32.71              e3) = all_18_1 & $i(all_18_1))
% 195.69/32.71    (48)  all_54_8 = all_52_2
% 195.69/32.71    (49)  all_56_4 = e1
% 195.69/32.71    (50)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.71          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.69/32.71    (51)   ~ (all_52_8 = all_52_9)
% 195.69/32.71    (52)  op(e0, e2) = e0
% 195.69/32.71    (53)   ~ (all_52_4 = all_52_12)
% 195.69/32.71    (54)   ~ (all_52_13 = e1)
% 195.69/32.71    (55)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.71              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.71            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.71            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.71            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.71            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.71            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.71            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.71            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.69/32.71            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.71            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.71            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.69/32.71            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.71            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.71            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.71            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.71            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.71            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.69/32.71            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.71            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.71            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.69/32.71            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.71            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.71            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.69/32.71            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.71            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.71            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.71            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.71            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.71            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.69/32.71            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.69/32.71            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.69/32.71            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.71            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.71            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.71            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.71            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.71            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.71            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.71            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.71            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.71            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.69/32.71            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.71            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.71            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.71            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.71            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.71            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.71              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.71            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.71            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.71              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.71            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.71            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.69/32.71                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.71                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.71                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.71                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.71                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.71                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.71                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.71              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.71                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.71                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.71                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.71                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.71                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.71                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.71                $i(all_57_7))))
% 195.69/32.71    (56)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.69/32.71          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.69/32.71    (57)   ~ (all_52_12 = all_52_14)
% 195.69/32.71    (58)   ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 195.69/32.71            op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 =
% 195.69/32.71              e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 195.69/32.71    (59)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.71    (60)  op(e0, e1) = all_52_11
% 195.69/32.71    (61)   ~ (all_52_12 = e3)
% 195.69/32.71    (62)  op(e1, e1) = e0
% 195.69/32.71    (63)   ~ (all_52_1 = e1)
% 195.69/32.71    (64)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.71          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.69/32.71    (65)   ~ (all_52_8 = all_52_12)
% 195.69/32.71    (66)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.69/32.71    (67)  op(e3, e3) = e2
% 195.69/32.71    (68)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.69/32.71          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.71    (69)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.69/32.71    (70)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.69/32.71    (71)   ~ (all_52_1 = all_52_13)
% 195.69/32.71    (72)   ~ (all_52_8 = all_52_11)
% 195.69/32.71    (73)   ~ (all_52_4 = e1)
% 195.69/32.71    (74)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.71          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.71    (75)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.69/32.71    (76)   ~ (all_52_2 = all_52_6)
% 195.69/32.71    (77)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.69/32.71    (78)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.69/32.71    (79)   ~ (all_52_1 = e2)
% 195.69/32.71    (80)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.71              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.69/32.71                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.69/32.71                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.69/32.71    (81)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.71          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.69/32.71    (82)  all_54_14 = all_52_11
% 195.69/32.71    (83)   ~ (all_52_11 = e0)
% 195.69/32.71    (84)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.69/32.71    (85)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.71    (86)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.69/32.71          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.69/32.71    (87)  op(e3, e0) = all_52_12
% 195.69/32.71    (88)   ~ (all_52_2 = all_52_3)
% 195.69/32.71    (89)  all_44_2 = e1
% 195.69/32.71    (90)  op(e2, e1) = all_52_9
% 195.69/32.71    (91)   ~ (all_52_4 = all_52_6)
% 195.69/32.71    (92)   ~ (all_52_1 = all_52_3)
% 195.69/32.71    (93)  op(e3, e1) = all_52_8
% 195.69/32.71    (94)  op(e0, e0) = e3
% 195.69/32.71    (95)   ~ (all_52_9 = all_52_13)
% 195.69/32.71    (96)  all_54_1 = all_52_4
% 195.69/32.71    (97)   ~ (all_52_6 = e1)
% 195.69/32.71    (98)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.71          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.71    (99)  op(e0, e2) = all_52_7
% 195.69/32.71    (100)   ~ (all_52_8 = e0)
% 195.69/32.71    (101)   ~ (all_52_3 = all_52_11)
% 195.69/32.71    (102)   ~ (all_52_9 = all_52_11)
% 195.69/32.71  
% 195.69/32.71  Begin of proof
% 195.69/32.71  | 
% 195.69/32.71  | BETA: splitting (85) gives:
% 195.69/32.71  | 
% 195.69/32.71  | Case 1:
% 195.69/32.71  | | 
% 195.69/32.71  | |   (103)  all_54_4 = e2
% 195.69/32.71  | | 
% 195.69/32.71  | | REF_CLOSE: (2), (79), (103) are inconsistent by sub-proof #1833.
% 195.69/32.71  | | 
% 195.69/32.71  | Case 2:
% 195.69/32.71  | | 
% 195.69/32.71  | |   (104)  all_54_4 = e1 | all_54_4 = e0
% 195.69/32.71  | | 
% 195.69/32.71  | | BETA: splitting (104) gives:
% 195.69/32.71  | | 
% 195.69/32.71  | | Case 1:
% 195.69/32.71  | | | 
% 195.69/32.71  | | |   (105)  all_54_4 = e1
% 195.69/32.71  | | | 
% 195.69/32.71  | | | REF_CLOSE: (2), (63), (105) are inconsistent by sub-proof #1832.
% 195.69/32.71  | | | 
% 195.69/32.71  | | Case 2:
% 195.69/32.71  | | | 
% 195.69/32.71  | | |   (106)  all_54_4 = e0
% 195.69/32.71  | | | 
% 195.69/32.71  | | | COMBINE_EQS: (2), (106) imply:
% 195.69/32.71  | | |   (107)  all_52_1 = e0
% 195.69/32.71  | | | 
% 195.69/32.71  | | | SIMP: (107) implies:
% 195.69/32.71  | | |   (108)  all_52_1 = e0
% 195.69/32.71  | | | 
% 195.69/32.71  | | | REDUCE: (92), (108) imply:
% 195.69/32.71  | | |   (109)   ~ (all_52_3 = e0)
% 195.69/32.71  | | | 
% 195.69/32.71  | | | SIMP: (109) implies:
% 195.69/32.71  | | |   (110)   ~ (all_52_3 = e0)
% 195.69/32.71  | | | 
% 195.69/32.71  | | | REDUCE: (16), (108) imply:
% 195.69/32.71  | | |   (111)   ~ (all_52_9 = e0)
% 195.69/32.71  | | | 
% 195.69/32.71  | | | SIMP: (111) implies:
% 195.69/32.71  | | |   (112)   ~ (all_52_9 = e0)
% 195.69/32.71  | | | 
% 195.69/32.71  | | | REDUCE: (71), (108) imply:
% 195.69/32.71  | | |   (113)   ~ (all_52_13 = e0)
% 195.69/32.71  | | | 
% 195.69/32.71  | | | SIMP: (113) implies:
% 195.69/32.71  | | |   (114)   ~ (all_52_13 = e0)
% 195.69/32.71  | | | 
% 195.69/32.71  | | | BETA: splitting (69) gives:
% 195.69/32.71  | | | 
% 195.69/32.71  | | | Case 1:
% 195.69/32.71  | | | | 
% 195.69/32.71  | | | |   (115)  all_54_7 = e3
% 195.69/32.71  | | | | 
% 195.69/32.71  | | | | REF_CLOSE: (3), (5), (115) are inconsistent by sub-proof #1484.
% 195.69/32.71  | | | | 
% 195.69/32.71  | | | Case 2:
% 195.69/32.71  | | | | 
% 195.69/32.71  | | | |   (116)   ~ (all_54_7 = e3)
% 195.69/32.71  | | | |   (117)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.69/32.71  | | | | 
% 195.69/32.71  | | | | BETA: splitting (77) gives:
% 195.69/32.71  | | | | 
% 195.69/32.71  | | | | Case 1:
% 195.69/32.71  | | | | | 
% 195.69/32.71  | | | | |   (118)  all_54_12 = e2
% 195.69/32.71  | | | | | 
% 195.69/32.71  | | | | | REF_CLOSE: (8), (36), (118) are inconsistent by sub-proof #1465.
% 195.69/32.71  | | | | | 
% 195.69/32.71  | | | | Case 2:
% 195.69/32.71  | | | | | 
% 195.69/32.71  | | | | |   (119)  all_54_12 = e1 | all_54_12 = e0
% 195.69/32.71  | | | | | 
% 195.69/32.71  | | | | | BETA: splitting (119) gives:
% 195.69/32.71  | | | | | 
% 195.69/32.71  | | | | | Case 1:
% 195.69/32.71  | | | | | | 
% 195.69/32.71  | | | | | |   (120)  all_54_12 = e1
% 195.69/32.71  | | | | | | 
% 195.69/32.71  | | | | | | COMBINE_EQS: (36), (120) imply:
% 195.69/32.71  | | | | | |   (121)  all_52_3 = e1
% 195.69/32.71  | | | | | | 
% 195.69/32.71  | | | | | | SIMP: (121) implies:
% 195.69/32.71  | | | | | |   (122)  all_52_3 = e1
% 195.69/32.71  | | | | | | 
% 195.69/32.71  | | | | | | REDUCE: (35), (122) imply:
% 195.69/32.71  | | | | | |   (123)   ~ (all_52_7 = e1)
% 195.69/32.71  | | | | | | 
% 195.69/32.71  | | | | | | SIMP: (123) implies:
% 195.69/32.71  | | | | | |   (124)   ~ (all_52_7 = e1)
% 195.69/32.71  | | | | | | 
% 195.69/32.71  | | | | | | REDUCE: (101), (122) imply:
% 195.69/32.71  | | | | | |   (125)   ~ (all_52_11 = e1)
% 195.69/32.71  | | | | | | 
% 195.69/32.71  | | | | | | SIMP: (125) implies:
% 195.69/32.71  | | | | | |   (126)   ~ (all_52_11 = e1)
% 195.69/32.71  | | | | | | 
% 195.69/32.71  | | | | | | REDUCE: (110), (122) imply:
% 195.69/32.71  | | | | | |   (127)   ~ (e1 = e0)
% 195.69/32.71  | | | | | | 
% 195.69/32.71  | | | | | | BETA: splitting (117) gives:
% 195.69/32.71  | | | | | | 
% 195.69/32.71  | | | | | | Case 1:
% 195.69/32.71  | | | | | | | 
% 195.69/32.71  | | | | | | |   (128)  all_54_7 = e2
% 195.69/32.71  | | | | | | | 
% 195.69/32.71  | | | | | | | COMBINE_EQS: (5), (128) imply:
% 195.69/32.71  | | | | | | |   (129)  all_52_13 = e2
% 195.69/32.71  | | | | | | | 
% 195.69/32.71  | | | | | | | SIMP: (129) implies:
% 195.69/32.71  | | | | | | |   (130)  all_52_13 = e2
% 195.69/32.71  | | | | | | | 
% 195.69/32.71  | | | | | | | REDUCE: (95), (130) imply:
% 195.69/32.71  | | | | | | |   (131)   ~ (all_52_9 = e2)
% 195.69/32.71  | | | | | | | 
% 195.69/32.71  | | | | | | | REDUCE: (54), (130) imply:
% 195.69/32.71  | | | | | | |   (132)   ~ (e2 = e1)
% 195.69/32.71  | | | | | | | 
% 195.69/32.71  | | | | | | | REDUCE: (114), (130) imply:
% 195.69/32.71  | | | | | | |   (133)   ~ (e2 = e0)
% 195.69/32.71  | | | | | | | 
% 195.69/32.71  | | | | | | | BETA: splitting (59) gives:
% 195.69/32.71  | | | | | | | 
% 195.69/32.71  | | | | | | | Case 1:
% 195.69/32.71  | | | | | | | | 
% 195.69/32.71  | | | | | | | |   (134)  all_54_6 = e3
% 195.69/32.71  | | | | | | | | 
% 195.69/32.71  | | | | | | | | COMBINE_EQS: (13), (134) imply:
% 195.69/32.71  | | | | | | | |   (135)  all_52_9 = e3
% 195.69/32.71  | | | | | | | | 
% 195.69/32.71  | | | | | | | | SIMP: (135) implies:
% 195.69/32.71  | | | | | | | |   (136)  all_52_9 = e3
% 195.69/32.71  | | | | | | | | 
% 195.69/32.71  | | | | | | | | REDUCE: (51), (136) imply:
% 195.69/32.71  | | | | | | | |   (137)   ~ (all_52_8 = e3)
% 195.69/32.71  | | | | | | | | 
% 195.69/32.71  | | | | | | | | REDUCE: (131), (136) imply:
% 195.69/32.71  | | | | | | | |   (138)   ~ (e3 = e2)
% 195.69/32.71  | | | | | | | | 
% 195.69/32.71  | | | | | | | | REDUCE: (24), (136) imply:
% 195.69/32.71  | | | | | | | |   (139)   ~ (e3 = e1)
% 195.69/32.71  | | | | | | | | 
% 195.69/32.71  | | | | | | | | REDUCE: (112), (136) imply:
% 195.69/32.71  | | | | | | | |   (140)   ~ (e3 = e0)
% 195.69/32.71  | | | | | | | | 
% 195.69/32.71  | | | | | | | | BETA: splitting (1) gives:
% 195.69/32.71  | | | | | | | | 
% 195.69/32.71  | | | | | | | | Case 1:
% 195.69/32.71  | | | | | | | | | 
% 195.69/32.71  | | | | | | | | |   (141)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.71  | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3
% 195.69/32.71  | | | | | | | | |            & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.71  | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.69/32.71  | | | | | | | | |                  = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.71  | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.69/32.71  | | | | | | | | |                = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.69/32.71  | | | | | | | | |                all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 195.69/32.71  | | | | | | | | |            all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 195.69/32.71  | | | | | | | | |            all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 &
% 195.69/32.71  | | | | | | | | |            op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 = e3
% 195.69/32.71  | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.71  | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.69/32.71  | | | | | | | | |            ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 195.69/32.71  | | | | | | | | |                  = e0) & op(e0, e3) = all_57_2 &
% 195.69/32.71  | | | | | | | | |                $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 =
% 195.69/32.71  | | | | | | | | |            e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1)
% 195.69/32.71  | | | | | | | | |            = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.69/32.71  | | | | | | | | |            $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1)
% 195.69/32.71  | | | | | | | | |              | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.71  | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.69/32.71  | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.69/32.71  | | | | | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 &
% 195.69/32.71  | | | | | | | | |            all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 195.69/32.71  | | | | | | | | |            all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 195.69/32.71  | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3
% 195.69/32.71  | | | | | | | | |                & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.69/32.71  | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.71  | | | | | | | | |            ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 195.69/32.71  | | | | | | | | |                  = e0) & op(e0, e3) = all_57_2 &
% 195.69/32.71  | | | | | | | | |                $i(all_57_2)))) | (all_57_2 = e3 & all_57_9 =
% 195.69/32.71  | | | | | | | | |            e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0)
% 195.69/32.71  | | | | | | | | |            = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.71  | | | | | | | | |            $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0)
% 195.69/32.71  | | | | | | | | |              | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.71  | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 195.69/32.71  | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.69/32.71  | | | | | | | | |                all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 195.69/32.71  | | | | | | | | |            all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 195.69/32.71  | | | | | | | | |            all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.69/32.71  | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3
% 195.69/32.71  | | | | | | | | |                & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.69/32.71  | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.71  | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 195.69/32.71  | | | | | | | | |                  = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.71  | | | | | | | | |                $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 =
% 195.69/32.71  | | | | | | | | |            e2 & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1)
% 195.69/32.71  | | | | | | | | |            = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.69/32.71  | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1)
% 195.69/32.71  | | | | | | | | |              | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.71  | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 195.69/32.71  | | | | | | | | |                = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.69/32.71  | | | | | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 &
% 195.69/32.71  | | | | | | | | |            all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 195.69/32.71  | | | | | | | | |            all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 &
% 195.69/32.71  | | | | | | | | |            op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2
% 195.69/32.71  | | | | | | | | |                & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.69/32.71  | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.71  | | | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.69/32.71  | | | | | | | | |                  = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.71  | | | | | | | | |                $i(all_57_5))))
% 195.69/32.71  | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | BETA: splitting (141) gives:
% 195.69/32.71  | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | Case 1:
% 195.69/32.71  | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | |   (142)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.71  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.71  | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.71  | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.71  | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.71  | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.71  | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.71  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 195.69/32.71  | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 195.69/32.71  | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.71  | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.71  | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.71  | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.71  | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.71  | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.71  | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.71  | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.71  | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.71  | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.71  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.69/32.71  | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.71  | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.69/32.71  | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.69/32.71  | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.71  | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | BETA: splitting (142) gives:
% 195.69/32.71  | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | Case 1:
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | |   (143)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.71  | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.71  | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.71  | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.71  | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.71  | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.71  | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.71  | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.71  | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.71  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.71  | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.71  | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.71  | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.71  | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.71  | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.71  | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | REF_CLOSE: (23), (27), (52), (94), (138), (139), (143) are
% 195.69/32.71  | | | | | | | | | | |            inconsistent by sub-proof #674.
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | Case 2:
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | |   (144)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.71  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.71  | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.71  | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.71  | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.71  | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.71  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.71  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.71  | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.71  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.71  | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.71  | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.71  | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.71  | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.71  | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.71  | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | BETA: splitting (144) gives:
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | Case 1:
% 195.69/32.71  | | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | |   (145)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.71  | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.71  | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.71  | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.71  | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.71  | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.69/32.71  | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.69/32.71  | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 195.69/32.71  | | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | | ALPHA: (145) implies:
% 195.69/32.71  | | | | | | | | | | | |   (146)  op(e3, e3) = e1
% 195.69/32.71  | | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | | REF_CLOSE: (23), (67), (132), (146) are inconsistent by
% 195.69/32.71  | | | | | | | | | | | |            sub-proof #1934.
% 195.69/32.71  | | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | Case 2:
% 195.69/32.71  | | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | |   (147)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.71  | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.69/32.71  | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.71  | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.69/32.71  | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.69/32.71  | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 195.69/32.71  | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.69/32.71  | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.69/32.71  | | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | | ALPHA: (147) implies:
% 195.69/32.71  | | | | | | | | | | | |   (148)  op(e1, e1) = e3
% 195.69/32.71  | | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | | REF_CLOSE: (14), (23), (28), (32), (49), (127), (132), (133),
% 195.69/32.71  | | | | | | | | | | | |            (138), (140), (148) are inconsistent by sub-proof
% 195.69/32.71  | | | | | | | | | | | |            #1093.
% 195.69/32.71  | | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | End of split
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | End of split
% 195.69/32.71  | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | Case 2:
% 195.69/32.71  | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | |   (149)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.71  | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.71  | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.71  | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.71  | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.71  | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.71  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.71  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.71  | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.71  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 195.69/32.71  | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.69/32.71  | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.69/32.71  | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.69/32.71  | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 195.69/32.71  | | | | | | | | | |                  e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 195.69/32.71  | | | | | | | | | |                  e3) = all_57_1 & $i(all_57_1)))) |
% 195.69/32.71  | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.71  | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.71  | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.71  | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.71  | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.71  | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.71  | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.71  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 195.69/32.71  | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.69/32.71  | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.71  | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.69/32.71  | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.71  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.71  | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | BETA: splitting (149) gives:
% 195.69/32.71  | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | Case 1:
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | |   (150)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.71  | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.71  | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.71  | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.71  | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.71  | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.71  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.71  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.71  | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.71  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.71  | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.71  | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.71  | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.71  | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.71  | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.71  | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | | REF_CLOSE: (23), (42), (67), (110), (133), (150) are
% 195.69/32.71  | | | | | | | | | | |            inconsistent by sub-proof #830.
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.71  | | | | | | | | | | Case 2:
% 195.69/32.71  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | |   (151)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.72  | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.72  | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.72  | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.72  | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.72  | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.72  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.72  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.72  | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.72  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.72  | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.72  | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.72  | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.72  | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.72  | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.72  | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | REF_CLOSE: (4), (23), (90), (97), (131), (151) are
% 195.69/32.72  | | | | | | | | | | |            inconsistent by sub-proof #1669.
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | End of split
% 195.69/32.72  | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | End of split
% 195.69/32.72  | | | | | | | | | 
% 195.69/32.72  | | | | | | | | Case 2:
% 195.69/32.72  | | | | | | | | | 
% 195.69/32.72  | | | | | | | | |   (152)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.72  | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2
% 195.69/32.72  | | | | | | | | |            & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.72  | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.69/32.72  | | | | | | | | |                  = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.72  | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.69/32.72  | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.69/32.72  | | | | | | | | |                all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 195.69/32.72  | | | | | | | | |            all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.69/32.72  | | | | | | | | |            all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 195.69/32.72  | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_12) & ((all_57_10 = e2
% 195.69/32.72  | | | | | | | | |                & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.69/32.72  | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.72  | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.69/32.72  | | | | | | | | |                  = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.72  | | | | | | | | |                $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 =
% 195.69/32.72  | | | | | | | | |            e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0)
% 195.69/32.72  | | | | | | | | |            = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.69/32.72  | | | | | | | | |            $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0)
% 195.69/32.72  | | | | | | | | |              | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.72  | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 195.69/32.72  | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.69/32.72  | | | | | | | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 195.69/32.72  | | | | | | | | |            all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.69/32.72  | | | | | | | | |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 195.69/32.72  | | | | | | | | |            op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1
% 195.69/32.72  | | | | | | | | |                & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.69/32.72  | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.72  | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.69/32.72  | | | | | | | | |                  = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.72  | | | | | | | | |                $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3)
% 195.69/32.72  | | | | | | | | |            = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.69/32.72  | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.69/32.72  | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 195.69/32.72  | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.72  | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 195.69/32.72  | | | | | | | | |                op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.72  | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) | (all_57_12
% 195.69/32.72  | | | | | | | | |            = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3,
% 195.69/32.72  | | | | | | | | |                  e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.69/32.72  | | | | | | | | |                = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.72  | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.72  | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.69/32.72  | | | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.69/32.72  | | | | | | | | |                  = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.72  | | | | | | | | |                $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1)
% 195.69/32.72  | | | | | | | | |            = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.72  | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.72  | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 195.69/32.72  | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.69/32.72  | | | | | | | | |                all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.69/32.72  | | | | | | | | |                op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.72  | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) | (all_57_15
% 195.69/32.72  | | | | | | | | |            = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3,
% 195.69/32.72  | | | | | | | | |                  e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 195.69/32.72  | | | | | | | | |                = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 195.69/32.72  | | | | | | | | |                & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 195.69/32.72  | | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.69/32.72  | | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 195.69/32.72  | | | | | | | | |                (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.72  | | | | | | | | |                $i(all_57_13))))
% 195.69/32.72  | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | BETA: splitting (152) gives:
% 195.69/32.72  | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | Case 1:
% 195.69/32.72  | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | |   (153)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.72  | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.72  | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.72  | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.72  | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.72  | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.72  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.72  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.72  | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.72  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 195.69/32.72  | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.69/32.72  | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.72  | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.69/32.72  | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 195.69/32.72  | | | | | | | | | |                  e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 195.69/32.72  | | | | | | | | | |                  e2) = all_57_4 & $i(all_57_4)))) |
% 195.69/32.72  | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.72  | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.72  | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.72  | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.72  | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.72  | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.72  | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.72  | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.72  | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.72  | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 195.69/32.72  | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.69/32.72  | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.72  | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.72  | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 195.69/32.72  | | | | | | | | | |                  e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 195.69/32.72  | | | | | | | | | |                  e1) = all_57_7 & $i(all_57_7))))
% 195.69/32.72  | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | BETA: splitting (153) gives:
% 195.69/32.72  | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | Case 1:
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | |   (154)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.72  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.72  | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.72  | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.72  | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.72  | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.72  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.72  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.72  | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.72  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.72  | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.72  | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.72  | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.72  | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.72  | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.72  | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | REF_CLOSE: (23), (27), (44), (114), (127), (154) are
% 195.69/32.72  | | | | | | | | | | |            inconsistent by sub-proof #642.
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | Case 2:
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | |   (155)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.72  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.72  | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.72  | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.72  | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.72  | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.72  | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.72  | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.72  | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.72  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.72  | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.72  | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.72  | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.72  | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.72  | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.72  | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | REF_CLOSE: (6), (23), (45), (60), (126), (155) are
% 195.69/32.72  | | | | | | | | | | |            inconsistent by sub-proof #1883.
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | End of split
% 195.69/32.72  | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | Case 2:
% 195.69/32.72  | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | |   (156)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.72  | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.69/32.72  | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.72  | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.72  | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.72  | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.72  | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.72  | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.72  | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.72  | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.69/32.72  | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.72  | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.72  | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.72  | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.72  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.72  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.72  | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.72  | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.69/32.72  | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.72  | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.72  | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.72  | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.72  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.72  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.72  | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.72  | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.69/32.72  | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.72  | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.72  | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.72  | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.72  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.72  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.72  | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | BETA: splitting (156) gives:
% 195.69/32.72  | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | Case 1:
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | |   (157)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.72  | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.72  | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.72  | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.72  | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.72  | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.72  | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.72  | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.72  | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.72  | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.72  | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.72  | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.72  | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.72  | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.72  | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.72  | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | BETA: splitting (157) gives:
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | Case 1:
% 195.69/32.72  | | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | |   (158)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.72  | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.69/32.72  | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.72  | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.72  | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.72  | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.69/32.72  | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.69/32.72  | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.69/32.72  | | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | | ALPHA: (158) implies:
% 195.69/32.72  | | | | | | | | | | | |   (159)  op(e3, e3) = e3
% 195.69/32.72  | | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (7), (9), (10), (11), (12), (14),
% 195.69/32.72  | | | | | | | | | | | |            (15), (17), (18), (19), (20), (21), (22), (23),
% 195.69/32.72  | | | | | | | | | | | |            (24), (25), (26), (27), (29), (30), (31), (32),
% 195.69/32.72  | | | | | | | | | | | |            (33), (34), (35), (36), (37), (38), (39), (40),
% 195.69/32.72  | | | | | | | | | | | |            (41), (42), (43), (44), (45), (46), (47), (48),
% 195.69/32.72  | | | | | | | | | | | |            (50), (51), (53), (54), (55), (56), (57), (58),
% 195.69/32.72  | | | | | | | | | | | |            (60), (61), (62), (64), (65), (66), (68), (70),
% 195.69/32.72  | | | | | | | | | | | |            (72), (73), (74), (75), (76), (78), (80), (81),
% 195.69/32.72  | | | | | | | | | | | |            (82), (83), (84), (86), (87), (88), (89), (90),
% 195.69/32.72  | | | | | | | | | | | |            (91), (93), (94), (95), (96), (97), (98), (99),
% 195.69/32.72  | | | | | | | | | | | |            (100), (101), (102), (124), (127), (132), (133),
% 195.69/32.72  | | | | | | | | | | | |            (137), (138), (139), (140), (159) are inconsistent
% 195.69/32.72  | | | | | | | | | | | |            by sub-proof #985.
% 195.69/32.72  | | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | Case 2:
% 195.69/32.72  | | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | |   (160)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.72  | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.69/32.72  | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.72  | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.72  | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.72  | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.69/32.72  | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.69/32.72  | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.69/32.72  | | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | | ALPHA: (160) implies:
% 195.69/32.72  | | | | | | | | | | | |   (161)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.69/32.72  | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 195.69/32.72  | | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | | REF_CLOSE: (23), (52), (94), (138), (161) are inconsistent by
% 195.69/32.72  | | | | | | | | | | | |            sub-proof #1028.
% 195.69/32.72  | | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | End of split
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | Case 2:
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | |   (162)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.72  | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.72  | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.72  | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.72  | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.72  | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.72  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.72  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.72  | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.72  | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.72  | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.72  | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.72  | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.72  | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.72  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.72  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | | REF_CLOSE: (23), (62), (94), (127), (140), (162) are
% 195.69/32.72  | | | | | | | | | | |            inconsistent by sub-proof #652.
% 195.69/32.72  | | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | | End of split
% 195.69/32.72  | | | | | | | | | | 
% 195.69/32.72  | | | | | | | | | End of split
% 195.69/32.72  | | | | | | | | | 
% 195.69/32.72  | | | | | | | | End of split
% 195.69/32.72  | | | | | | | | 
% 195.69/32.72  | | | | | | | Case 2:
% 195.69/32.72  | | | | | | | | 
% 195.69/32.72  | | | | | | | |   (163)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.72  | | | | | | | | 
% 195.69/32.72  | | | | | | | | REF_CLOSE: (13), (24), (112), (131), (163) are inconsistent by
% 195.69/32.72  | | | | | | | |            sub-proof #641.
% 195.69/32.72  | | | | | | | | 
% 195.69/32.72  | | | | | | | End of split
% 195.69/32.72  | | | | | | | 
% 195.69/32.72  | | | | | | Case 2:
% 195.69/32.72  | | | | | | | 
% 195.69/32.72  | | | | | | |   (164)  all_54_7 = e1 | all_54_7 = e0
% 195.69/32.72  | | | | | | | 
% 195.69/32.72  | | | | | | | REF_CLOSE: (5), (54), (114), (164) are inconsistent by sub-proof
% 195.69/32.72  | | | | | | |            #1376.
% 195.69/32.72  | | | | | | | 
% 195.69/32.72  | | | | | | End of split
% 195.69/32.72  | | | | | | 
% 195.69/32.72  | | | | | Case 2:
% 195.69/32.72  | | | | | | 
% 195.69/32.72  | | | | | |   (165)  all_54_12 = e0
% 195.69/32.72  | | | | | | 
% 195.69/32.72  | | | | | | REF_CLOSE: (36), (110), (165) are inconsistent by sub-proof #1098.
% 195.69/32.72  | | | | | | 
% 195.69/32.72  | | | | | End of split
% 195.69/32.72  | | | | | 
% 195.69/32.72  | | | | End of split
% 195.69/32.72  | | | | 
% 195.69/32.72  | | | End of split
% 195.69/32.72  | | | 
% 195.69/32.72  | | End of split
% 195.69/32.72  | | 
% 195.69/32.72  | End of split
% 195.69/32.72  | 
% 195.69/32.72  End of proof
% 195.69/32.72  
% 195.69/32.72  Sub-proof #641 shows that the following formulas are inconsistent:
% 195.69/32.72  ----------------------------------------------------------------
% 195.69/32.72    (1)  all_54_6 = all_52_9
% 195.69/32.72    (2)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.72    (3)   ~ (all_52_9 = e1)
% 195.69/32.72    (4)   ~ (all_52_9 = e0)
% 195.69/32.72    (5)   ~ (all_52_9 = e2)
% 195.69/32.72  
% 195.69/32.72  Begin of proof
% 195.69/32.72  | 
% 195.69/32.72  | BETA: splitting (2) gives:
% 195.69/32.72  | 
% 195.69/32.72  | Case 1:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (6)  all_54_6 = e2
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #1467.
% 195.69/32.72  | | 
% 195.69/32.72  | Case 2:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (7)  all_54_6 = e1 | all_54_6 = e0
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #708.
% 195.69/32.72  | | 
% 195.69/32.72  | End of split
% 195.69/32.72  | 
% 195.69/32.72  End of proof
% 195.69/32.72  
% 195.69/32.72  Sub-proof #642 shows that the following formulas are inconsistent:
% 195.69/32.72  ----------------------------------------------------------------
% 195.69/32.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.72    (2)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.72           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.72           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.72                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.69/32.72               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.72               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.69/32.72           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.69/32.72             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.72               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.72           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.72               = all_57_4 & $i(all_57_4))))
% 195.69/32.72    (3)  op(e2, e2) = e1
% 195.69/32.72    (4)  op(e2, e0) = all_52_13
% 195.69/32.72    (5)   ~ (e1 = e0)
% 195.69/32.72    (6)   ~ (all_52_13 = e0)
% 195.69/32.72  
% 195.69/32.72  Begin of proof
% 195.69/32.72  | 
% 195.69/32.72  | BETA: splitting (2) gives:
% 195.69/32.72  | 
% 195.69/32.72  | Case 1:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (7)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.72  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.72  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.72  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 195.69/32.72  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.69/32.72  | |            all_57_13 & $i(all_57_13)))
% 195.69/32.72  | | 
% 195.69/32.72  | | ALPHA: (7) implies:
% 195.69/32.72  | |   (8)  op(e2, e2) = e0
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1909.
% 195.69/32.72  | | 
% 195.69/32.72  | Case 2:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (9)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.69/32.72  | |        all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.72  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 195.69/32.72  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.72  | |            & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 195.69/32.72  | |            & $i(all_57_4)))
% 195.69/32.72  | | 
% 195.69/32.72  | | ALPHA: (9) implies:
% 195.69/32.72  | |   (10)  op(e2, e0) = e0
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1173.
% 195.69/32.72  | | 
% 195.69/32.72  | End of split
% 195.69/32.72  | 
% 195.69/32.72  End of proof
% 195.69/32.72  
% 195.69/32.72  Sub-proof #643 shows that the following formulas are inconsistent:
% 195.69/32.72  ----------------------------------------------------------------
% 195.69/32.72    (1)   ~ (e3 = e2)
% 195.69/32.72    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.72    (3)  all_56_7 = e2 & op(e1, e2) = e2
% 195.69/32.72    (4)  all_56_5 = e3
% 195.69/32.72    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.72         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.72    (6)  all_56_7 = e0
% 195.69/32.72    (7)  op(e1, e1) = e0
% 195.69/32.72    (8)  all_56_14 = e1
% 195.69/32.72    (9)  all_56_4 = e2
% 195.69/32.72    (10)   ~ (e2 = e1)
% 195.69/32.72    (11)   ~ (e2 = e0)
% 195.69/32.72  
% 195.69/32.72  Begin of proof
% 195.69/32.72  | 
% 195.69/32.72  | ALPHA: (3) implies:
% 195.69/32.72  |   (12)  all_56_7 = e2
% 195.69/32.72  | 
% 195.69/32.72  | COMBINE_EQS: (6), (12) imply:
% 195.69/32.72  |   (13)  e2 = e0
% 195.69/32.72  | 
% 195.69/32.72  | COMBINE_EQS: (9), (13) imply:
% 195.69/32.72  |   (14)  all_56_4 = e0
% 195.69/32.72  | 
% 195.69/32.72  | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (11), (14) are inconsistent by
% 195.69/32.72  |            sub-proof #1813.
% 195.69/32.72  | 
% 195.69/32.72  End of proof
% 195.69/32.72  
% 195.69/32.72  Sub-proof #644 shows that the following formulas are inconsistent:
% 195.69/32.72  ----------------------------------------------------------------
% 195.69/32.72    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 195.69/32.72    (2)   ~ (e3 = e2)
% 195.69/32.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.72    (4)  op(e2, e2) = e1
% 195.69/32.72    (5)  op(e3, e2) = e3
% 195.69/32.72    (6)   ~ (e2 = e1)
% 195.69/32.72  
% 195.69/32.72  Begin of proof
% 195.69/32.72  | 
% 195.69/32.72  | BETA: splitting (1) gives:
% 195.69/32.72  | 
% 195.69/32.72  | Case 1:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 195.69/32.72  | | 
% 195.69/32.72  | | ALPHA: (7) implies:
% 195.69/32.72  | |   (8)  op(e3, e2) = e2
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1927.
% 195.69/32.72  | | 
% 195.69/32.72  | Case 2:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 195.69/32.72  | | 
% 195.69/32.72  | | ALPHA: (9) implies:
% 195.69/32.72  | |   (10)  op(e2, e2) = e2
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (3), (4), (6), (10) are inconsistent by sub-proof #1783.
% 195.69/32.72  | | 
% 195.69/32.72  | End of split
% 195.69/32.72  | 
% 195.69/32.72  End of proof
% 195.69/32.72  
% 195.69/32.72  Sub-proof #645 shows that the following formulas are inconsistent:
% 195.69/32.72  ----------------------------------------------------------------
% 195.69/32.72    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 195.69/32.72    (2)   ~ (e3 = e2)
% 195.69/32.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.72    (4)  op(e2, e2) = e1
% 195.69/32.72    (5)  all_56_5 = e3
% 195.69/32.72    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.72         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.72    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.72         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.72    (8)  op(e1, e1) = e0
% 195.69/32.72    (9)   ~ (e1 = e0)
% 195.69/32.72    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.72          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.72    (11)   ~ (e2 = e1)
% 195.69/32.72    (12)  all_56_1 = e3
% 195.69/32.72    (13)   ~ (e3 = e1)
% 195.69/32.72    (14)   ~ (e2 = e0)
% 195.69/32.72    (15)   ~ (e3 = e0)
% 195.69/32.72  
% 195.69/32.72  Begin of proof
% 195.69/32.72  | 
% 195.69/32.72  | BETA: splitting (1) gives:
% 195.69/32.72  | 
% 195.69/32.72  | Case 1:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (16)  all_56_1 = e0 & op(e3, e2) = e0
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 195.69/32.72  | |            (15), (16) are inconsistent by sub-proof #1033.
% 195.69/32.72  | | 
% 195.69/32.72  | Case 2:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (17)  all_56_3 = e0 & op(e2, e2) = e0
% 195.69/32.72  | | 
% 195.69/32.72  | | ALPHA: (17) implies:
% 195.69/32.72  | |   (18)  op(e2, e2) = e0
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (3), (4), (9), (18) are inconsistent by sub-proof #1909.
% 195.69/32.72  | | 
% 195.69/32.72  | End of split
% 195.69/32.72  | 
% 195.69/32.72  End of proof
% 195.69/32.72  
% 195.69/32.72  Sub-proof #646 shows that the following formulas are inconsistent:
% 195.69/32.72  ----------------------------------------------------------------
% 195.69/32.72    (1)   ~ (all_52_4 = e3)
% 195.69/32.72    (2)   ~ (all_52_4 = e2)
% 195.69/32.72    (3)   ~ (all_52_4 = e0)
% 195.69/32.72    (4)   ~ (all_52_4 = e1)
% 195.69/32.72    (5)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.69/32.72    (6)  all_54_1 = all_52_4
% 195.69/32.72  
% 195.69/32.72  Begin of proof
% 195.69/32.72  | 
% 195.69/32.72  | BETA: splitting (5) gives:
% 195.69/32.72  | 
% 195.69/32.72  | Case 1:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (7)  all_54_1 = e3
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (1), (6), (7) are inconsistent by sub-proof #1763.
% 195.69/32.72  | | 
% 195.69/32.72  | Case 2:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (8)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (2), (3), (4), (6), (8) are inconsistent by sub-proof #1897.
% 195.69/32.72  | | 
% 195.69/32.72  | End of split
% 195.69/32.72  | 
% 195.69/32.72  End of proof
% 195.69/32.72  
% 195.69/32.72  Sub-proof #647 shows that the following formulas are inconsistent:
% 195.69/32.72  ----------------------------------------------------------------
% 195.69/32.72    (1)  all_54_6 = all_52_9
% 195.69/32.72    (2)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.72    (4)   ~ (all_52_9 = e0)
% 195.69/32.72    (5)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.72    (6)   ~ (all_52_9 = e2)
% 195.69/32.72    (7)  op(e0, e1) = all_52_11
% 195.69/32.72    (8)  op(e1, e1) = e0
% 195.69/32.72    (9)   ~ (e1 = e0)
% 195.69/32.72    (10)   ~ (all_52_9 = all_52_11)
% 195.69/32.72  
% 195.69/32.72  Begin of proof
% 195.69/32.72  | 
% 195.69/32.72  | BETA: splitting (5) gives:
% 195.69/32.72  | 
% 195.69/32.72  | Case 1:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (11)  all_56_8 = e1 & op(e1, e1) = e1
% 195.69/32.72  | | 
% 195.69/32.72  | | ALPHA: (11) implies:
% 195.69/32.72  | |   (12)  op(e1, e1) = e1
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (3), (8), (9), (12) are inconsistent by sub-proof #1959.
% 195.69/32.72  | | 
% 195.69/32.72  | Case 2:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (13)  all_56_14 = e1 & op(e0, e1) = e1
% 195.69/32.72  | | 
% 195.69/32.72  | | ALPHA: (13) implies:
% 195.69/32.72  | |   (14)  op(e0, e1) = e1
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (10), (14) are inconsistent by
% 195.69/32.72  | |            sub-proof #648.
% 195.69/32.72  | | 
% 195.69/32.72  | End of split
% 195.69/32.72  | 
% 195.69/32.72  End of proof
% 195.69/32.72  
% 195.69/32.72  Sub-proof #648 shows that the following formulas are inconsistent:
% 195.69/32.72  ----------------------------------------------------------------
% 195.69/32.72    (1)  all_54_6 = all_52_9
% 195.69/32.72    (2)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.72    (4)   ~ (all_52_9 = e0)
% 195.69/32.72    (5)  op(e0, e1) = e1
% 195.69/32.72    (6)   ~ (all_52_9 = e2)
% 195.69/32.72    (7)  op(e0, e1) = all_52_11
% 195.69/32.72    (8)   ~ (all_52_9 = all_52_11)
% 195.69/32.72  
% 195.69/32.72  Begin of proof
% 195.69/32.72  | 
% 195.69/32.72  | BETA: splitting (2) gives:
% 195.69/32.72  | 
% 195.69/32.72  | Case 1:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (9)  all_54_6 = e2
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (1), (6), (9) are inconsistent by sub-proof #1467.
% 195.69/32.72  | | 
% 195.69/32.72  | Case 2:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (10)  all_54_6 = e1 | all_54_6 = e0
% 195.69/32.72  | | 
% 195.69/32.72  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (10) are inconsistent by sub-proof
% 195.69/32.72  | |            #1451.
% 195.69/32.72  | | 
% 195.69/32.72  | End of split
% 195.69/32.72  | 
% 195.69/32.72  End of proof
% 195.69/32.72  
% 195.69/32.72  Sub-proof #649 shows that the following formulas are inconsistent:
% 195.69/32.72  ----------------------------------------------------------------
% 195.69/32.72    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.69/32.72         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.69/32.72    (2)   ~ (e3 = e2)
% 195.69/32.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.72    (4)  op(e2, e2) = all_4_2
% 195.69/32.72    (5)  all_56_5 = e3
% 195.69/32.72    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.72         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.72    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.72         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.72    (8)  op(e1, e1) = e0
% 195.69/32.72    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.72         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.69/32.72    (10)   ~ (all_4_2 = e3)
% 195.69/32.72    (11)  all_56_2 = e3
% 195.69/32.72    (12)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.69/32.72          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.69/32.72    (13)  all_56_10 = e0
% 195.69/32.72    (14)   ~ (e1 = e0)
% 195.69/32.72    (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.72          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.72    (16)   ~ (e2 = e1)
% 195.69/32.72    (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.72          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.69/32.72    (18)  op(e2, e2) = e2
% 195.69/32.72    (19)   ~ (e3 = e1)
% 195.69/32.72    (20)   ~ (e2 = e0)
% 195.69/32.72    (21)   ~ (e3 = e0)
% 195.69/32.72  
% 195.69/32.72  Begin of proof
% 195.69/32.72  | 
% 195.69/32.72  | BETA: splitting (12) gives:
% 195.69/32.72  | 
% 195.69/32.72  | Case 1:
% 195.69/32.72  | | 
% 195.69/32.72  | |   (22)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 195.69/32.72  | |           e1)
% 195.69/32.72  | | 
% 195.69/32.72  | | BETA: splitting (22) gives:
% 195.69/32.72  | | 
% 195.69/32.72  | | Case 1:
% 195.69/32.72  | | | 
% 195.69/32.72  | | |   (23)  all_56_2 = e1 & op(e2, e3) = e1
% 195.69/32.72  | | | 
% 195.69/32.72  | | | ALPHA: (23) implies:
% 195.69/32.72  | | |   (24)  all_56_2 = e1
% 195.69/32.72  | | | 
% 195.69/32.72  | | | COMBINE_EQS: (11), (24) imply:
% 195.69/32.72  | | |   (25)  e3 = e1
% 195.69/32.72  | | | 
% 195.69/32.72  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (14),
% 195.69/32.72  | | |            (15), (16), (17), (19), (20), (21), (25) are inconsistent by
% 195.69/32.72  | | |            sub-proof #650.
% 195.69/32.72  | | | 
% 195.69/32.72  | | Case 2:
% 195.69/32.72  | | | 
% 195.69/32.72  | | |   (26)  all_56_3 = e1 & op(e2, e2) = e1
% 195.69/32.72  | | | 
% 195.69/32.72  | | | ALPHA: (26) implies:
% 195.69/32.72  | | |   (27)  op(e2, e2) = e1
% 195.69/32.72  | | | 
% 195.69/32.73  | | | REF_CLOSE: (2), (3), (5), (11), (13), (16), (17), (20), (27) are
% 195.69/32.73  | | |            inconsistent by sub-proof #1008.
% 195.69/32.73  | | | 
% 195.69/32.73  | | End of split
% 195.69/32.73  | | 
% 195.69/32.73  | Case 2:
% 195.69/32.73  | | 
% 195.69/32.73  | |   (28)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 195.69/32.73  | |           e1)
% 195.69/32.73  | | 
% 195.69/32.73  | | BETA: splitting (28) gives:
% 195.69/32.73  | | 
% 195.69/32.73  | | Case 1:
% 195.69/32.73  | | | 
% 195.69/32.73  | | |   (29)  all_56_5 = e1 & op(e2, e1) = e1
% 195.69/32.73  | | | 
% 195.69/32.73  | | | ALPHA: (29) implies:
% 195.69/32.73  | | |   (30)  all_56_5 = e1
% 195.69/32.73  | | | 
% 195.69/32.73  | | | COMBINE_EQS: (5), (30) imply:
% 195.69/32.73  | | |   (31)  e3 = e1
% 195.69/32.73  | | | 
% 195.69/32.73  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (14),
% 195.69/32.73  | | |            (15), (16), (17), (19), (20), (21), (31) are inconsistent by
% 195.69/32.73  | | |            sub-proof #650.
% 195.69/32.73  | | | 
% 195.69/32.73  | | Case 2:
% 195.69/32.73  | | | 
% 195.69/32.73  | | |   (32)  all_56_10 = e1 & op(e2, e0) = e1
% 195.69/32.73  | | | 
% 195.69/32.73  | | | ALPHA: (32) implies:
% 195.69/32.73  | | |   (33)  all_56_10 = e1
% 195.69/32.73  | | | 
% 195.69/32.73  | | | BETA: splitting (1) gives:
% 195.69/32.73  | | | 
% 195.69/32.73  | | | Case 1:
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | |   (34)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2)
% 195.69/32.73  | | | |           = e0)
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | | REF_CLOSE: (3), (11), (18), (20), (21), (34) are inconsistent by
% 195.69/32.73  | | | |            sub-proof #662.
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | Case 2:
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | |   (35)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0)
% 195.69/32.73  | | | |           = e0)
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | | BETA: splitting (35) gives:
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | | Case 1:
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | |   (36)  all_56_5 = e0 & op(e2, e1) = e0
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | | ALPHA: (36) implies:
% 195.69/32.73  | | | | |   (37)  all_56_5 = e0
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | | REF_CLOSE: (5), (21), (37) are inconsistent by sub-proof #1838.
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | Case 2:
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | |   (38)  all_56_10 = e0 & op(e2, e0) = e0
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | | REF_CLOSE: (13), (14), (33) are inconsistent by sub-proof #1411.
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | End of split
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | End of split
% 195.69/32.73  | | | 
% 195.69/32.73  | | End of split
% 195.69/32.73  | | 
% 195.69/32.73  | End of split
% 195.69/32.73  | 
% 195.69/32.73  End of proof
% 195.69/32.73  
% 195.69/32.73  Sub-proof #650 shows that the following formulas are inconsistent:
% 195.69/32.73  ----------------------------------------------------------------
% 195.69/32.73    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.69/32.73         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.69/32.73    (2)   ~ (e3 = e2)
% 195.69/32.73    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.73    (4)  op(e2, e2) = all_4_2
% 195.69/32.73    (5)  all_56_5 = e3
% 195.69/32.73    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.73         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.73    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.73         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.73    (8)  op(e1, e1) = e0
% 195.69/32.73    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.73         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.69/32.73    (10)   ~ (all_4_2 = e3)
% 195.69/32.73    (11)  all_56_2 = e3
% 195.69/32.73    (12)   ~ (e1 = e0)
% 195.69/32.73    (13)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.73          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.73    (14)   ~ (e2 = e1)
% 195.69/32.73    (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.73          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.69/32.73    (16)   ~ (e3 = e1)
% 195.69/32.73    (17)  e3 = e1
% 195.69/32.73    (18)   ~ (e2 = e0)
% 195.69/32.73    (19)   ~ (e3 = e0)
% 195.69/32.73  
% 195.69/32.73  Begin of proof
% 195.69/32.73  | 
% 195.69/32.73  | COMBINE_EQS: (5), (17) imply:
% 195.69/32.73  |   (20)  all_56_5 = e1
% 195.69/32.73  | 
% 195.69/32.73  | COMBINE_EQS: (11), (17) imply:
% 195.69/32.73  |   (21)  all_56_2 = e1
% 195.69/32.73  | 
% 195.69/32.73  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (12), (13), (14),
% 195.69/32.73  |            (15), (16), (18), (19), (20), (21) are inconsistent by sub-proof
% 195.69/32.73  |            #1547.
% 195.69/32.73  | 
% 195.69/32.73  End of proof
% 195.69/32.73  
% 195.69/32.73  Sub-proof #651 shows that the following formulas are inconsistent:
% 195.69/32.73  ----------------------------------------------------------------
% 195.69/32.73    (1)   ~ (all_52_1 = all_4_2)
% 195.69/32.73    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.69/32.73         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.69/32.73    (3)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.69/32.73    (4)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.69/32.73         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.69/32.73    (5)  op(e1, e3) = all_52_2
% 195.69/32.73    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.69/32.73           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.69/32.73           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.69/32.73                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.69/32.73               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.73               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.73           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.69/32.73           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.73               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.69/32.73           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.69/32.73               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.69/32.73           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.69/32.73           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.69/32.73               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.73               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.73               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.73         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.69/32.73           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.73           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.69/32.73               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.73             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.73         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.73           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.73           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.69/32.73                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.69/32.73               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.69/32.73               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.69/32.73           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.69/32.73           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.73             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.73           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.73               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.69/32.73           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.69/32.73           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.69/32.73               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.73               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.73               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.73         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.69/32.73           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.69/32.73           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.69/32.73               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.73             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.73         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.73           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.73           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.73                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.69/32.73               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.73               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.69/32.73           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.69/32.73             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.73               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.73           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.73               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.69/32.73           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.69/32.73           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.69/32.73               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.73               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.73               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.73         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.69/32.73           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.69/32.73           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.69/32.73               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.69/32.73             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.73         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.73             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.73           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.73               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.73             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.73         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.69/32.73             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.73           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.73               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.73             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.73         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.69/32.73             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.73           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.69/32.73               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.69/32.73             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.73         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.69/32.73             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.73           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.69/32.73               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.69/32.73             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.73    (7)  all_54_4 = all_52_1
% 195.69/32.73    (8)   ~ (all_52_13 = e3)
% 195.69/32.73    (9)  op(e1, e2) = all_52_6
% 195.69/32.73    (10)  all_54_7 = all_52_13
% 195.69/32.73    (11)   ~ (all_52_14 = e0)
% 195.69/32.73    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.69/32.73          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.69/32.73    (13)  all_54_6 = all_52_9
% 195.69/32.73    (14)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.69/32.73          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.69/32.73    (15)   ~ (all_52_1 = all_52_9)
% 195.69/32.73    (16)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.73          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.69/32.73    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.69/32.73          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.69/32.73    (18)   ~ (all_52_2 = e0)
% 195.69/32.73    (19)  all_54_2 = all_52_8
% 195.69/32.73    (20)   ~ (all_4_2 = e0)
% 195.69/32.73    (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.69/32.73          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.69/32.73    (22)   ~ (all_52_13 = e2)
% 195.69/32.73    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.73            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.73    (24)  op(e3, e2) = all_52_4
% 195.69/32.73    (25)  op(e2, e2) = all_4_2
% 195.69/32.73    (26)   ~ (all_52_9 = e0)
% 195.69/32.73    (27)   ~ (all_52_12 = all_52_13)
% 195.69/32.73    (28)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 195.69/32.73          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.69/32.73    (29)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.73          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.73    (30)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.73          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.73    (31)   ~ (all_52_4 = all_52_8)
% 195.69/32.73    (32)  all_56_4 = e3
% 195.69/32.73    (33)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 195.69/32.73          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 195.69/32.73    (34)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.69/32.73          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.69/32.73            e1)
% 195.69/32.73    (35)  op(e0, e3) = all_52_3
% 195.69/32.73    (36)  all_56_14 = e2
% 195.69/32.73    (37)  op(e2, e0) = all_52_13
% 195.69/32.73    (38)  op(e1, e0) = all_52_14
% 195.69/32.73    (39)  all_56_15 = e3
% 195.69/32.73    (40)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.73          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.69/32.73    (41)   ~ (all_52_13 = e1)
% 195.69/32.73    (42)   ~ (all_52_2 = all_52_14)
% 195.69/32.73    (43)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.73              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.73            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.73            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.73            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.73            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.73            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.73            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.73            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.69/32.73            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.73            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.73            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.69/32.73            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.73            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.73            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.73            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.73            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.73            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.69/32.73            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.73            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.73            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.69/32.73            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.73            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.73            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.69/32.73            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.73            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.73            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.73            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.73            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.73            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.69/32.73            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.69/32.73            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.69/32.73            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.73            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.73            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.73            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.73            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.73            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.73            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.73            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.73            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.73            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.69/32.73            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.73            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.73            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.73            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.73            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.73            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.73              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.73            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.73            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.73              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.73            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.73            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.69/32.73                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.73                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.73                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.73                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.73                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.73                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.73                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.73              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.73                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.73                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.73                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.73                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.73                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.73                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.73                $i(all_57_7))))
% 195.69/32.73    (44)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.69/32.73          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.69/32.73    (45)   ~ (all_52_8 = e1)
% 195.69/32.73    (46)  op(e0, e1) = all_52_11
% 195.69/32.73    (47)  op(e3, e1) = e3
% 195.69/32.73    (48)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 195.69/32.73            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 195.69/32.73              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 195.69/32.73    (49)   ~ (all_4_2 = e1)
% 195.69/32.73    (50)  op(e1, e1) = e0
% 195.69/32.73    (51)   ~ (all_52_1 = e1)
% 195.69/32.73    (52)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.73          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.69/32.73    (53)   ~ (all_4_2 = e3)
% 195.69/32.73    (54)   ~ (all_52_8 = all_52_12)
% 195.69/32.73    (55)   ~ (all_52_8 = e2)
% 195.69/32.73    (56)  op(e3, e3) = e2
% 195.69/32.73    (57)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.69/32.73          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.73    (58)  all_56_5 = e1
% 195.69/32.73    (59)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.69/32.73    (60)  all_56_2 = e3
% 195.69/32.73    (61)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.69/32.73    (62)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.69/32.73          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.69/32.73    (63)   ~ (e1 = e0)
% 195.69/32.73    (64)   ~ (all_52_1 = all_52_13)
% 195.69/32.73    (65)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.73    (66)  all_54_5 = all_4_2
% 195.69/32.73    (67)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.73          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.73    (68)   ~ (all_52_2 = all_52_6)
% 195.69/32.73    (69)   ~ (all_52_1 = e2)
% 195.69/32.73    (70)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.73              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.69/32.73                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.69/32.73                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.69/32.73    (71)   ~ (e2 = e1)
% 195.69/32.73    (72)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.73          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.69/32.73    (73)   ~ (all_52_11 = e0)
% 195.69/32.73    (74)   ~ (all_52_13 = all_4_2)
% 195.69/32.73    (75)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.69/32.73          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.69/32.73    (76)  op(e3, e0) = all_52_12
% 195.69/32.73    (77)  all_36_2 = all_4_2
% 195.69/32.73    (78)  op(e2, e2) = e2
% 195.69/32.73    (79)   ~ (all_52_7 = e3)
% 195.69/32.73    (80)   ~ (all_52_9 = all_4_2)
% 195.69/32.73    (81)  op(e2, e1) = all_52_9
% 195.69/32.73    (82)  all_54_6 = e1 | all_54_6 = e0
% 195.69/32.73    (83)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 195.69/32.73            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 195.69/32.73              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 195.69/32.73    (84)  op(e3, e1) = all_52_8
% 195.69/32.73    (85)  op(e0, e0) = e3
% 195.69/32.73    (86)   ~ (all_52_9 = all_52_13)
% 195.69/32.73    (87)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.69/32.73          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.69/32.73    (88)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.73          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.73    (89)  op(e0, e2) = all_52_7
% 195.69/32.73    (90)   ~ (e2 = e0)
% 195.69/32.73    (91)  op(e2, e3) = all_52_1
% 195.69/32.73    (92)   ~ (all_52_8 = e0)
% 195.69/32.73    (93)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.69/32.73    (94)  all_32_2 = all_4_2
% 195.69/32.73    (95)   ~ (all_52_3 = all_52_11)
% 195.69/32.73    (96)   ~ (all_52_9 = all_52_11)
% 195.69/32.73  
% 195.69/32.73  Begin of proof
% 195.69/32.73  | 
% 195.69/32.73  | BETA: splitting (59) gives:
% 195.69/32.73  | 
% 195.69/32.73  | Case 1:
% 195.69/32.73  | | 
% 195.69/32.73  | |   (97)  all_54_7 = e3
% 195.69/32.73  | | 
% 195.69/32.73  | | COMBINE_EQS: (10), (97) imply:
% 195.69/32.73  | |   (98)  all_52_13 = e3
% 195.69/32.73  | | 
% 195.69/32.73  | | REDUCE: (8), (98) imply:
% 195.69/32.73  | |   (99)  $false
% 195.69/32.73  | | 
% 195.69/32.73  | | CLOSE: (99) is inconsistent.
% 195.69/32.73  | | 
% 195.69/32.73  | Case 2:
% 195.69/32.73  | | 
% 195.69/32.73  | |   (100)   ~ (all_54_7 = e3)
% 195.69/32.73  | |   (101)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.69/32.73  | | 
% 195.69/32.73  | | BETA: splitting (61) gives:
% 195.69/32.73  | | 
% 195.69/32.73  | | Case 1:
% 195.69/32.73  | | | 
% 195.69/32.73  | | |   (102)  all_54_2 = e3
% 195.69/32.73  | | | 
% 195.69/32.73  | | | COMBINE_EQS: (19), (102) imply:
% 195.69/32.73  | | |   (103)  all_52_8 = e3
% 195.69/32.73  | | | 
% 195.69/32.73  | | | SIMP: (103) implies:
% 195.69/32.73  | | |   (104)  all_52_8 = e3
% 195.69/32.73  | | | 
% 195.69/32.73  | | | REDUCE: (31), (104) imply:
% 195.69/32.73  | | |   (105)   ~ (all_52_4 = e3)
% 195.69/32.73  | | | 
% 195.69/32.73  | | | REDUCE: (54), (104) imply:
% 195.69/32.73  | | |   (106)   ~ (all_52_12 = e3)
% 195.69/32.73  | | | 
% 195.69/32.73  | | | SIMP: (106) implies:
% 195.69/32.73  | | |   (107)   ~ (all_52_12 = e3)
% 195.69/32.73  | | | 
% 195.69/32.73  | | | REDUCE: (55), (104) imply:
% 195.69/32.73  | | |   (108)   ~ (e3 = e2)
% 195.69/32.73  | | | 
% 195.69/32.73  | | | REDUCE: (45), (104) imply:
% 195.69/32.73  | | |   (109)   ~ (e3 = e1)
% 195.69/32.73  | | | 
% 195.69/32.73  | | | REDUCE: (92), (104) imply:
% 195.69/32.73  | | |   (110)   ~ (e3 = e0)
% 195.69/32.73  | | | 
% 195.69/32.73  | | | BETA: splitting (101) gives:
% 195.69/32.73  | | | 
% 195.69/32.73  | | | Case 1:
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | |   (111)  all_54_7 = e2
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | | COMBINE_EQS: (10), (111) imply:
% 195.69/32.73  | | | |   (112)  all_52_13 = e2
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | | REDUCE: (22), (112) imply:
% 195.69/32.73  | | | |   (113)  $false
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | | CLOSE: (113) is inconsistent.
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | Case 2:
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | |   (114)   ~ (all_54_7 = e2)
% 195.69/32.73  | | | |   (115)  all_54_7 = e1 | all_54_7 = e0
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | | BETA: splitting (17) gives:
% 195.69/32.73  | | | | 
% 195.69/32.73  | | | | Case 1:
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | |   (116)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2,
% 195.69/32.73  | | | | |              e3) = e0)
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | | BETA: splitting (116) gives:
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | | Case 1:
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | |   (117)  all_56_0 = e0 & op(e3, e3) = e0
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | | ALPHA: (117) implies:
% 195.69/32.73  | | | | | |   (118)  op(e3, e3) = e0
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | | REF_CLOSE: (23), (56), (90), (118) are inconsistent by sub-proof
% 195.69/32.73  | | | | | |            #833.
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | Case 2:
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | |   (119)  all_56_2 = e0 & op(e2, e3) = e0
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | | ALPHA: (119) implies:
% 195.69/32.73  | | | | | |   (120)  all_56_2 = e0
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | | COMBINE_EQS: (60), (120) imply:
% 195.69/32.73  | | | | | |   (121)  e3 = e0
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | | COMBINE_EQS: (32), (121) imply:
% 195.69/32.73  | | | | | |   (122)  all_56_4 = e0
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | | REF_CLOSE: (23), (29), (50), (58), (67), (71), (90), (108), (109),
% 195.69/32.73  | | | | | |            (110), (122) are inconsistent by sub-proof #1817.
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | End of split
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | Case 2:
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | |   (123)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0,
% 195.69/32.73  | | | | |              e3) = e0)
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | | BETA: splitting (123) gives:
% 195.69/32.73  | | | | | 
% 195.69/32.73  | | | | | Case 1:
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | |   (124)  all_56_6 = e0 & op(e1, e3) = e0
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | | REF_CLOSE: (5), (18), (23), (124) are inconsistent by sub-proof
% 195.69/32.73  | | | | | |            #1768.
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | Case 2:
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | |   (125)  all_56_12 = e0 & op(e0, e3) = e0
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | | ALPHA: (125) implies:
% 195.69/32.73  | | | | | |   (126)  all_56_12 = e0
% 195.69/32.73  | | | | | |   (127)  op(e0, e3) = e0
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | | BETA: splitting (34) gives:
% 195.69/32.73  | | | | | | 
% 195.69/32.73  | | | | | | Case 1:
% 195.69/32.73  | | | | | | | 
% 195.69/32.73  | | | | | | |   (128)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 195.69/32.73  | | | | | | |            op(e0, e2) = e1)
% 195.69/32.73  | | | | | | | 
% 195.69/32.73  | | | | | | | BETA: splitting (128) gives:
% 195.69/32.73  | | | | | | | 
% 195.69/32.73  | | | | | | | Case 1:
% 195.69/32.73  | | | | | | | | 
% 195.69/32.74  | | | | | | | |   (129)  all_56_12 = e1 & op(e0, e3) = e1
% 195.69/32.74  | | | | | | | | 
% 195.69/32.74  | | | | | | | | ALPHA: (129) implies:
% 195.69/32.74  | | | | | | | |   (130)  all_56_12 = e1
% 195.69/32.74  | | | | | | | | 
% 195.69/32.74  | | | | | | | | COMBINE_EQS: (126), (130) imply:
% 195.69/32.74  | | | | | | | |   (131)  e1 = e0
% 195.69/32.74  | | | | | | | | 
% 195.69/32.74  | | | | | | | | SIMP: (131) implies:
% 195.69/32.74  | | | | | | | |   (132)  e1 = e0
% 195.69/32.74  | | | | | | | | 
% 195.69/32.74  | | | | | | | | COMBINE_EQS: (58), (132) imply:
% 195.69/32.74  | | | | | | | |   (133)  all_56_5 = e0
% 195.69/32.74  | | | | | | | | 
% 195.69/32.74  | | | | | | | | REF_CLOSE: (23), (29), (30), (50), (63), (67), (71), (90),
% 195.69/32.74  | | | | | | | |            (108), (109), (110), (133) are inconsistent by
% 195.69/32.74  | | | | | | | |            sub-proof #1551.
% 195.69/32.74  | | | | | | | | 
% 195.69/32.74  | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | 
% 195.69/32.74  | | | | | | | |   (134)  all_56_13 = e1 & op(e0, e2) = e1
% 195.69/32.74  | | | | | | | | 
% 195.69/32.74  | | | | | | | | ALPHA: (134) implies:
% 195.69/32.74  | | | | | | | |   (135)  all_56_13 = e1
% 195.69/32.74  | | | | | | | | 
% 195.69/32.74  | | | | | | | | BETA: splitting (40) gives:
% 195.69/32.74  | | | | | | | | 
% 195.69/32.74  | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | 
% 195.69/32.74  | | | | | | | | |   (136)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 &
% 195.69/32.74  | | | | | | | | |            op(e2, e2) = e3)
% 195.69/32.74  | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | REF_CLOSE: (23), (24), (25), (53), (105), (136) are
% 195.69/32.74  | | | | | | | | |            inconsistent by sub-proof #1790.
% 195.69/32.74  | | | | | | | | | 
% 195.69/32.74  | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | 
% 195.69/32.74  | | | | | | | | |   (137)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 195.69/32.74  | | | | | | | | |            op(e0, e2) = e3)
% 195.69/32.74  | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | BETA: splitting (137) gives:
% 195.69/32.74  | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | |   (138)  all_56_7 = e3 & op(e1, e2) = e3
% 195.69/32.74  | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | ALPHA: (138) implies:
% 195.69/32.74  | | | | | | | | | |   (139)  all_56_7 = e3
% 195.69/32.74  | | | | | | | | | |   (140)  op(e1, e2) = e3
% 195.69/32.74  | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | BETA: splitting (21) gives:
% 195.69/32.74  | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | |   (141)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 195.69/32.74  | | | | | | | | | | |            & op(e2, e3) = e1)
% 195.69/32.74  | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | BETA: splitting (141) gives:
% 195.69/32.74  | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | |   (142)  all_56_0 = e1 & op(e3, e3) = e1
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | ALPHA: (142) implies:
% 195.69/32.74  | | | | | | | | | | | |   (143)  op(e3, e3) = e1
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | REF_CLOSE: (23), (56), (71), (143) are inconsistent by
% 195.69/32.74  | | | | | | | | | | | |            sub-proof #1934.
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | |   (144)  all_56_2 = e1 & op(e2, e3) = e1
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | ALPHA: (144) implies:
% 195.69/32.74  | | | | | | | | | | | |   (145)  all_56_2 = e1
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | REF_CLOSE: (14), (23), (25), (29), (30), (36), (45), (50),
% 195.69/32.74  | | | | | | | | | | | |            (52), (53), (63), (67), (71), (72), (84), (90),
% 195.69/32.74  | | | | | | | | | | | |            (108), (109), (110), (145) are inconsistent by
% 195.69/32.74  | | | | | | | | | | | |            sub-proof #660.
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | End of split
% 195.69/32.74  | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | |   (146)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 195.69/32.74  | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 195.69/32.74  | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | BETA: splitting (146) gives:
% 195.69/32.74  | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | |   (147)  all_56_6 = e1 & op(e1, e3) = e1
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | ALPHA: (147) implies:
% 195.69/32.74  | | | | | | | | | | | |   (148)  op(e1, e3) = e1
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | BETA: splitting (115) gives:
% 195.69/32.74  | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | |   (149)  all_54_7 = e1
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | REF_CLOSE: (10), (41), (149) are inconsistent by sub-proof
% 195.69/32.74  | | | | | | | | | | | | |            #1446.
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | |   (150)  all_54_7 = e0
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | COMBINE_EQS: (10), (150) imply:
% 195.69/32.74  | | | | | | | | | | | | |   (151)  all_52_13 = e0
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | SIMP: (151) implies:
% 195.69/32.74  | | | | | | | | | | | | |   (152)  all_52_13 = e0
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | REDUCE: (64), (152) imply:
% 195.69/32.74  | | | | | | | | | | | | |   (153)   ~ (all_52_1 = e0)
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | REDUCE: (27), (152) imply:
% 195.69/32.74  | | | | | | | | | | | | |   (154)   ~ (all_52_12 = e0)
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | REDUCE: (8), (152) imply:
% 195.69/32.74  | | | | | | | | | | | | |   (155)   ~ (e3 = e0)
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | REDUCE: (22), (152) imply:
% 195.69/32.74  | | | | | | | | | | | | |   (156)   ~ (e2 = e0)
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | REDUCE: (41), (152) imply:
% 195.69/32.74  | | | | | | | | | | | | |   (157)   ~ (e1 = e0)
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | BETA: splitting (6) gives:
% 195.69/32.74  | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | |   (158)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.74  | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.74  | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.74  | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.74  | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.74  | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.74  | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.74  | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.74  | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.74  | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.74  | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.74  | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.74  | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.74  | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.74  | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.74  | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.74  | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.74  | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.74  | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.74  | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.74  | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.74  | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.74  | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.74  | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.74  | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.74  | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.74  | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.74  | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.74  | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.74  | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.74  | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.74  | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.74  | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.74  | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 195.69/32.74  | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | |   (159)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.74  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.74  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.74  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.74  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.74  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.74  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.74  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.74  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.74  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | |   (160)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.74  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.74  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.74  | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.74  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.74  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | REF_CLOSE: (23), (24), (25), (53), (105), (160) are
% 195.69/32.74  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1530.
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | |   (161)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.74  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.74  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.74  | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.74  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.74  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | |   (162)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.74  | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.74  | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.69/32.74  | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.69/32.74  | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 195.69/32.74  | | | | | | | | | | | | | | | | |   (163)  op(e3, e3) = e1
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (56), (71), (163) are inconsistent by
% 195.69/32.74  | | | | | | | | | | | | | | | | |            sub-proof #1934.
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | |   (164)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.74  | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.69/32.74  | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 195.69/32.74  | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 195.69/32.74  | | | | | | | | | | | | | | | | |   (165)  op(e3, e1) = e1
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15), (23), (36), (50), (51), (65), (67),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (69), (81), (108), (109), (110), (153), (165) are
% 195.69/32.74  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #659.
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | End of split
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | End of split
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | |   (166)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.74  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.74  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.74  | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.74  | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.74  | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.74  | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.74  | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.74  | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | |   (167)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.74  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.74  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.74  | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.74  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.74  | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | REF_CLOSE: (23), (56), (76), (90), (154), (167) are
% 195.69/32.74  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #658.
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | |   (168)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.74  | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.74  | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.74  | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.74  | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.74  | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | REF_CLOSE: (23), (50), (71), (78), (90), (168) are
% 195.69/32.74  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1443.
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | End of split
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | End of split
% 195.69/32.74  | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | |   (169)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.74  | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.74  | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.74  | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.74  | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.74  | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.74  | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.74  | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.74  | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.74  | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.74  | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.74  | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.74  | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.74  | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.74  | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.74  | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.74  | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.74  | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.74  | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.74  | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.74  | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.74  | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.74  | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.74  | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.74  | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.74  | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.74  | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.74  | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.74  | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.74  | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.74  | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.74  | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.74  | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.74  | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.74  | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.74  | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.74  | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.74  | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 195.69/32.74  | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | |   (170)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.74  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.74  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.74  | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.74  | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.74  | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.74  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.74  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.74  | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.74  | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.74  | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | |   (171)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.74  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.74  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.74  | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.74  | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.74  | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | |   (172)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.74  | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.74  | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.69/32.74  | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.69/32.74  | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 195.69/32.74  | | | | | | | | | | | | | | | | |   (173)  op(e2, e0) = e2
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (37), (173) are inconsistent by
% 195.69/32.74  | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | |   (174)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.74  | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.69/32.74  | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.69/32.74  | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 195.69/32.74  | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.69/32.74  | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 195.69/32.74  | | | | | | | | | | | | | | | | |   (175)  op(e0, e0) = e2
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23), (34), (35), (36), (46), (63), (70),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (71), (90), (95), (108), (109), (110), (135),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (175) are inconsistent by sub-proof #1229.
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | End of split
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | |   (176)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.74  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.74  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.74  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.74  | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.74  | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.74  | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.74  | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.74  | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (23), (26), (38), (46), (82), (96),
% 195.69/32.74  | | | | | | | | | | | | | | | |            (176) are inconsistent by sub-proof #657.
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | End of split
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | |   (177)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.74  | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.74  | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.74  | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.74  | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.74  | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.74  | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.74  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.74  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.74  | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.74  | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.74  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.74  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.74  | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.74  | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.74  | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.74  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.74  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.74  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 195.69/32.74  | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | |   (178)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.74  | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.74  | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.74  | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.74  | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.74  | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.74  | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.74  | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.74  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.74  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.74  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 195.69/32.74  | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | |   (179)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.74  | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.69/32.74  | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.74  | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.74  | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.74  | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.69/32.74  | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.69/32.74  | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 195.69/32.74  | | | | | | | | | | | | | | | | |   (180)  op(e3, e3) = e3
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (11), (12),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (14), (16), (17), (18), (21), (23), (25), (26),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (28), (29), (30), (33), (37), (38), (39), (40),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (42), (43), (44), (46), (48), (49), (50), (52),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (53), (57), (62), (63), (66), (67), (68), (70),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (71), (72), (73), (74), (75), (76), (77), (80),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (81), (83), (85), (86), (87), (88), (90), (91),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (94), (107), (108), (109), (110), (139), (140),
% 195.69/32.74  | | | | | | | | | | | | | | | | |            (180) are inconsistent by sub-proof #1011.
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.74  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.74  | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | |   (181)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.75  | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.69/32.75  | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.75  | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.75  | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.75  | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.69/32.75  | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.69/32.75  | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 195.69/32.75  | | | | | | | | | | | | | | | | |   (182)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.69/32.75  | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 195.69/32.75  | | | | | | | | | | | | | | | | |   (183)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.69/32.75  | | | | | | | | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 195.69/32.75  | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | |   (184)  all_57_14 = e2 & op(e1, e1) = e2
% 195.69/32.75  | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 195.69/32.75  | | | | | | | | | | | | | | | | | |   (185)  op(e1, e1) = e2
% 195.69/32.75  | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (50), (90), (185) are inconsistent by
% 195.69/32.75  | | | | | | | | | | | | | | | | | |            sub-proof #1821.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | |   (186)   ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 195.69/32.75  | | | | | | | | | | | | | | | | | |   (187)   ~ (all_57_4 = e1)
% 195.69/32.75  | | | | | | | | | | | | | | | | | |   (188)  op(e1, e2) = all_57_4
% 195.69/32.75  | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | |   (189)  all_57_15 = e2 & op(e0, e0) = e2
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | ALPHA: (189) implies:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | |   (190)  op(e0, e0) = e2
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (23), (34), (35), (36), (46), (63), (70),
% 195.69/32.75  | | | | | | | | | | | | | | | | | | |            (71), (90), (95), (108), (109), (110), (135),
% 195.69/32.75  | | | | | | | | | | | | | | | | | | |            (190) are inconsistent by sub-proof #1229.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | |   (191)   ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | |          $i(all_57_5)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | |   (192)   ~ (all_57_5 = e0)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | |   (193)  op(e0, e2) = all_57_5
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |   (194)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |   (195)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |   (196)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (20), (23), (49), (66), (91), (93), (148),
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            (196) are inconsistent by sub-proof #779.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |   (197)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (25), (53), (127), (197) are inconsistent by
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1022.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |   (198)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |   (199)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (24), (105), (199) are inconsistent by
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1971.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |   (200)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (71), (78), (187), (188), (200) are
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #656.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |   (201)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |   (202)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (56), (71), (85), (109), (203) are
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #676.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |   (204)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (47), (54), (76), (84), (85), (109), (204)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #655.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |   (205)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (56), (90), (206) are inconsistent by
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #819.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |   (207)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |   (209)  op(e2, e0) = e2
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (23), (37), (209) are inconsistent by
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |   (210)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |   (212)   ~ (all_57_14 = e0)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |   (213)  op(e1, e1) = all_57_14
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (50), (212), (213) are inconsistent by
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1636.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |   (214)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (25), (53), (56), (71), (78), (148), (192),
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | |            (193), (215) are inconsistent by sub-proof #653.
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | |   (216)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.75  | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.75  | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.75  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.75  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.75  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.75  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.75  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.75  | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.75  | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.75  | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.75  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.75  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.75  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.75  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.75  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.75  | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | | REF_CLOSE: (23), (50), (63), (85), (110), (216) are
% 195.69/32.75  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #652.
% 195.69/32.75  | | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | |   (217)  all_56_12 = e1 & op(e0, e3) = e1
% 195.69/32.75  | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | ALPHA: (217) implies:
% 195.69/32.75  | | | | | | | | | | | |   (218)  all_56_12 = e1
% 195.69/32.75  | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | COMBINE_EQS: (126), (218) imply:
% 195.69/32.75  | | | | | | | | | | | |   (219)  e1 = e0
% 195.69/32.75  | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | COMBINE_EQS: (58), (219) imply:
% 195.69/32.75  | | | | | | | | | | | |   (220)  all_56_5 = e0
% 195.69/32.75  | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | | REF_CLOSE: (23), (29), (30), (50), (63), (67), (71), (90),
% 195.69/32.75  | | | | | | | | | | | |            (108), (109), (110), (220) are inconsistent by
% 195.69/32.75  | | | | | | | | | | | |            sub-proof #1551.
% 195.69/32.75  | | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | |   (221)  all_56_13 = e3 & op(e0, e2) = e3
% 195.69/32.75  | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | ALPHA: (221) implies:
% 195.69/32.75  | | | | | | | | | |   (222)  op(e0, e2) = e3
% 195.69/32.75  | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | | REF_CLOSE: (23), (79), (89), (222) are inconsistent by
% 195.69/32.75  | | | | | | | | | |            sub-proof #783.
% 195.69/32.75  | | | | | | | | | | 
% 195.69/32.75  | | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | | 
% 195.69/32.75  | | | | | | | | End of split
% 195.69/32.75  | | | | | | | | 
% 195.69/32.75  | | | | | | | End of split
% 195.69/32.75  | | | | | | | 
% 195.69/32.75  | | | | | | Case 2:
% 195.69/32.75  | | | | | | | 
% 195.69/32.75  | | | | | | |   (223)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 195.69/32.75  | | | | | | |            op(e0, e0) = e1)
% 195.69/32.75  | | | | | | | 
% 195.69/32.75  | | | | | | | BETA: splitting (223) gives:
% 195.69/32.75  | | | | | | | 
% 195.69/32.75  | | | | | | | Case 1:
% 195.69/32.75  | | | | | | | | 
% 195.69/32.75  | | | | | | | |   (224)  all_56_14 = e1 & op(e0, e1) = e1
% 195.69/32.75  | | | | | | | | 
% 195.69/32.75  | | | | | | | | ALPHA: (224) implies:
% 195.69/32.75  | | | | | | | |   (225)  op(e0, e1) = e1
% 195.69/32.75  | | | | | | | | 
% 195.69/32.75  | | | | | | | | REF_CLOSE: (13), (23), (26), (46), (82), (96), (225) are
% 195.69/32.75  | | | | | | | |            inconsistent by sub-proof #1451.
% 195.69/32.75  | | | | | | | | 
% 195.69/32.75  | | | | | | | Case 2:
% 195.69/32.75  | | | | | | | | 
% 195.69/32.75  | | | | | | | |   (226)  all_56_15 = e1 & op(e0, e0) = e1
% 195.69/32.75  | | | | | | | | 
% 195.69/32.75  | | | | | | | | ALPHA: (226) implies:
% 195.69/32.75  | | | | | | | |   (227)  op(e0, e0) = e1
% 195.69/32.75  | | | | | | | | 
% 195.69/32.75  | | | | | | | | REF_CLOSE: (23), (85), (109), (227) are inconsistent by
% 195.69/32.75  | | | | | | | |            sub-proof #1392.
% 195.69/32.75  | | | | | | | | 
% 195.69/32.75  | | | | | | | End of split
% 195.69/32.75  | | | | | | | 
% 195.69/32.75  | | | | | | End of split
% 195.69/32.75  | | | | | | 
% 195.69/32.75  | | | | | End of split
% 195.69/32.75  | | | | | 
% 195.69/32.75  | | | | End of split
% 195.69/32.75  | | | | 
% 195.69/32.75  | | | End of split
% 195.69/32.75  | | | 
% 195.69/32.75  | | Case 2:
% 195.69/32.75  | | | 
% 195.69/32.75  | | |   (228)   ~ (all_54_2 = e3)
% 195.69/32.75  | | | 
% 195.69/32.75  | | | REDUCE: (19), (228) imply:
% 195.69/32.75  | | |   (229)   ~ (all_52_8 = e3)
% 195.69/32.75  | | | 
% 195.69/32.75  | | | REF_CLOSE: (23), (47), (84), (229) are inconsistent by sub-proof #1759.
% 195.69/32.75  | | | 
% 195.69/32.75  | | End of split
% 195.69/32.75  | | 
% 195.69/32.75  | End of split
% 195.69/32.75  | 
% 195.69/32.75  End of proof
% 195.69/32.75  
% 195.69/32.75  Sub-proof #652 shows that the following formulas are inconsistent:
% 195.69/32.75  ----------------------------------------------------------------
% 195.69/32.75    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.69/32.75             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.75           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.69/32.75               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.69/32.75             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.75         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.69/32.75             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.75           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.69/32.75               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.69/32.75             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.75    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (3)  op(e1, e1) = e0
% 195.69/32.76    (4)   ~ (e1 = e0)
% 195.69/32.76    (5)  op(e0, e0) = e3
% 195.69/32.76    (6)   ~ (e3 = e0)
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (1) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.76  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.76  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.76  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.69/32.76  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.76  | |              e1) = all_57_8 & $i(all_57_8)))
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (7) implies:
% 195.69/32.76  | |   (8)  op(e1, e1) = e1
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1959.
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 195.69/32.76  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.76  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.76  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.69/32.76  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.76  | |              e0) = all_57_13 & $i(all_57_13)))
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (9) implies:
% 195.69/32.76  | |   (10)  op(e0, e0) = e0
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1947.
% 195.69/32.76  | | 
% 195.69/32.76  | End of split
% 195.69/32.76  | 
% 195.69/32.76  End of proof
% 195.69/32.76  
% 195.69/32.76  Sub-proof #653 shows that the following formulas are inconsistent:
% 195.69/32.76  ----------------------------------------------------------------
% 195.69/32.76    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (2)  op(e2, e2) = all_4_2
% 195.69/32.76    (3)   ~ (all_57_5 = e0)
% 195.69/32.76    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.69/32.76             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.76           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.69/32.76           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.76             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.76           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.76           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.76           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.69/32.76           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.76           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.69/32.76           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.76         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.76             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.76           $i(all_57_7))
% 195.69/32.76    (5)  op(e1, e3) = e1
% 195.69/32.76    (6)  op(e0, e2) = all_57_5
% 195.69/32.76    (7)   ~ (all_4_2 = e3)
% 195.69/32.76    (8)  op(e3, e3) = e2
% 195.69/32.76    (9)   ~ (e2 = e1)
% 195.69/32.76    (10)  op(e2, e2) = e2
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (4) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (11)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 195.69/32.76  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.69/32.76  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.76  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.69/32.76  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 195.69/32.76  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.69/32.76  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.76  | |           $i(all_57_3))
% 195.69/32.76  | | 
% 195.69/32.76  | | BETA: splitting (11) gives:
% 195.69/32.76  | | 
% 195.69/32.76  | | Case 1:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (12)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.76  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.69/32.76  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 195.69/32.76  | | | 
% 195.69/32.76  | | | ALPHA: (12) implies:
% 195.69/32.76  | | |   (13)  op(e2, e2) = e3
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (1), (2), (7), (13) are inconsistent by sub-proof #1975.
% 195.69/32.76  | | | 
% 195.69/32.76  | | Case 2:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (14)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.76  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.69/32.76  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.69/32.76  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.76  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.69/32.76  | | | 
% 195.69/32.76  | | | BETA: splitting (14) gives:
% 195.69/32.76  | | | 
% 195.69/32.76  | | | Case 1:
% 195.69/32.76  | | | | 
% 195.69/32.76  | | | |   (15)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.76  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.69/32.76  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 195.69/32.76  | | | | 
% 195.69/32.76  | | | | ALPHA: (15) implies:
% 195.69/32.76  | | | |   (16)   ~ (all_57_1 = e1)
% 195.69/32.76  | | | |   (17)  op(e1, e3) = all_57_1
% 195.69/32.76  | | | | 
% 195.69/32.76  | | | | REF_CLOSE: (1), (5), (16), (17) are inconsistent by sub-proof #1326.
% 195.69/32.76  | | | | 
% 195.69/32.76  | | | Case 2:
% 195.69/32.76  | | | | 
% 195.69/32.76  | | | |   (18)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.76  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.69/32.76  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 195.69/32.76  | | | | 
% 195.69/32.76  | | | | ALPHA: (18) implies:
% 195.69/32.76  | | | |   (19)  op(e0, e2) = e0
% 195.69/32.76  | | | | 
% 195.69/32.76  | | | | REF_CLOSE: (1), (3), (6), (19) are inconsistent by sub-proof #1589.
% 195.69/32.76  | | | | 
% 195.69/32.76  | | | End of split
% 195.69/32.76  | | | 
% 195.69/32.76  | | End of split
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (20)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.76  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.76  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.76  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.76  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.76  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.76  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.76  | |           $i(all_57_7))
% 195.69/32.76  | | 
% 195.69/32.76  | | BETA: splitting (20) gives:
% 195.69/32.76  | | 
% 195.69/32.76  | | Case 1:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (21)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.76  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.76  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 195.69/32.76  | | | 
% 195.69/32.76  | | | ALPHA: (21) implies:
% 195.69/32.76  | | |   (22)  op(e0, e2) = e0
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (1), (3), (6), (22) are inconsistent by sub-proof #1589.
% 195.69/32.76  | | | 
% 195.69/32.76  | | Case 2:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (23)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.69/32.76  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.69/32.76  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.69/32.76  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.69/32.76  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (1), (8), (9), (10), (23) are inconsistent by sub-proof #654.
% 195.69/32.76  | | | 
% 195.69/32.76  | | End of split
% 195.69/32.76  | | 
% 195.69/32.76  | End of split
% 195.69/32.76  | 
% 195.69/32.76  End of proof
% 195.69/32.76  
% 195.69/32.76  Sub-proof #654 shows that the following formulas are inconsistent:
% 195.69/32.76  ----------------------------------------------------------------
% 195.69/32.76    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (2)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.69/32.76             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.76           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 195.69/32.76           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 195.69/32.76             e1) = e0 & $i(all_57_7))
% 195.69/32.76    (3)  op(e3, e3) = e2
% 195.69/32.76    (4)   ~ (e2 = e1)
% 195.69/32.76    (5)  op(e2, e2) = e2
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (2) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (6)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.69/32.76  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.76  | |        $i(all_57_6)
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (6) implies:
% 195.69/32.76  | |   (7)  op(e3, e3) = e1
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1934.
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (8)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.76  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.76  | |        $i(all_57_7)
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (8) implies:
% 195.69/32.76  | |   (9)  op(e2, e2) = e1
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1783.
% 195.69/32.76  | | 
% 195.69/32.76  | End of split
% 195.69/32.76  | 
% 195.69/32.76  End of proof
% 195.69/32.76  
% 195.69/32.76  Sub-proof #655 shows that the following formulas are inconsistent:
% 195.69/32.76  ----------------------------------------------------------------
% 195.69/32.76    (1)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 195.69/32.76             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.69/32.76           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 195.69/32.76           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.69/32.76           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 195.69/32.76           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.69/32.76           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 195.69/32.76           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.69/32.76           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.69/32.76    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (3)  op(e3, e1) = e3
% 195.69/32.76    (4)   ~ (all_52_8 = all_52_12)
% 195.69/32.76    (5)  op(e3, e0) = all_52_12
% 195.69/32.76    (6)  op(e3, e1) = all_52_8
% 195.69/32.76    (7)  op(e0, e0) = e3
% 195.69/32.76    (8)   ~ (e3 = e1)
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (1) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (9)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 195.69/32.76  | |          e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.69/32.76  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (9) implies:
% 195.69/32.76  | |   (10)  op(e0, e0) = e1
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (2), (7), (8), (10) are inconsistent by sub-proof #1392.
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (11)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.76  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.76  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.76  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 195.69/32.76  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 195.69/32.76  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.76  | |           $i(all_57_13))
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (2), (3), (4), (5), (6), (11) are inconsistent by sub-proof #900.
% 195.69/32.76  | | 
% 195.69/32.76  | End of split
% 195.69/32.76  | 
% 195.69/32.76  End of proof
% 195.69/32.76  
% 195.69/32.76  Sub-proof #656 shows that the following formulas are inconsistent:
% 195.69/32.76  ----------------------------------------------------------------
% 195.69/32.76    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (2)   ~ (all_57_4 = e1)
% 195.69/32.76    (3)  op(e1, e2) = all_57_4
% 195.69/32.76    (4)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 195.69/32.76             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 195.69/32.76           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 195.69/32.76           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 195.69/32.76             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 195.69/32.76             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 195.69/32.76           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.76           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.69/32.76           $i(all_57_7) & $i(all_57_10))
% 195.69/32.76    (5)   ~ (e2 = e1)
% 195.69/32.76    (6)  op(e2, e2) = e2
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (4) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (7)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 195.69/32.76  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 195.69/32.76  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (7) implies:
% 195.69/32.76  | |   (8)  op(e1, e2) = e1
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1303.
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (9)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.69/32.76  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.69/32.76  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.69/32.76  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.69/32.76  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.69/32.76  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.76  | | 
% 195.69/32.76  | | BETA: splitting (9) gives:
% 195.69/32.76  | | 
% 195.69/32.76  | | Case 1:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (10)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.69/32.76  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.76  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.76  | | |         $i(all_57_14)
% 195.69/32.76  | | | 
% 195.69/32.76  | | | ALPHA: (10) implies:
% 195.69/32.76  | | |   (11)  op(e1, e2) = e1
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (1), (2), (3), (11) are inconsistent by sub-proof #1303.
% 195.69/32.76  | | | 
% 195.69/32.76  | | Case 2:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (12)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.76  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.76  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.76  | | |         $i(all_57_10)
% 195.69/32.76  | | | 
% 195.69/32.76  | | | ALPHA: (12) implies:
% 195.69/32.76  | | |   (13)  op(e2, e2) = e1
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (1), (5), (6), (13) are inconsistent by sub-proof #1783.
% 195.69/32.76  | | | 
% 195.69/32.76  | | End of split
% 195.69/32.76  | | 
% 195.69/32.76  | End of split
% 195.69/32.76  | 
% 195.69/32.76  End of proof
% 195.69/32.76  
% 195.69/32.76  Sub-proof #657 shows that the following formulas are inconsistent:
% 195.69/32.76  ----------------------------------------------------------------
% 195.69/32.76    (1)   ~ (all_52_14 = e0)
% 195.69/32.76    (2)  all_54_6 = all_52_9
% 195.69/32.76    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (4)   ~ (all_52_9 = e0)
% 195.69/32.76    (5)  op(e1, e0) = all_52_14
% 195.69/32.76    (6)  op(e0, e1) = all_52_11
% 195.69/32.76    (7)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.69/32.76           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.69/32.76           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.76                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.69/32.76               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.76               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 195.69/32.76           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 195.69/32.76             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.76               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.76           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.69/32.76               = all_57_7 & $i(all_57_7))))
% 195.69/32.76    (8)  all_54_6 = e1 | all_54_6 = e0
% 195.69/32.76    (9)   ~ (all_52_9 = all_52_11)
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (7) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (10)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.69/32.76  | |         op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.69/32.76  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.69/32.76  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 195.69/32.76  | |             e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.69/32.76  | |             all_57_11 & $i(all_57_11)))
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (10) implies:
% 195.69/32.76  | |   (11)  op(e0, e1) = e1
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (2), (3), (4), (6), (8), (9), (11) are inconsistent by sub-proof
% 195.69/32.76  | |            #1451.
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (12)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.69/32.76  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.76  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 195.69/32.76  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 195.69/32.76  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.69/32.76  | |             all_57_7 & $i(all_57_7)))
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (12) implies:
% 195.69/32.76  | |   (13)  op(e1, e0) = e0
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (1), (3), (5), (13) are inconsistent by sub-proof #1884.
% 195.69/32.76  | | 
% 195.69/32.76  | End of split
% 195.69/32.76  | 
% 195.69/32.76  End of proof
% 195.69/32.76  
% 195.69/32.76  Sub-proof #658 shows that the following formulas are inconsistent:
% 195.69/32.76  ----------------------------------------------------------------
% 195.69/32.76    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (2)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.76           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.76           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.69/32.76                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.69/32.76               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.69/32.76               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.69/32.76           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.69/32.76           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.76             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.76           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.76               = all_57_1 & $i(all_57_1))))
% 195.69/32.76    (3)   ~ (all_52_12 = e0)
% 195.69/32.76    (4)  op(e3, e3) = e2
% 195.69/32.76    (5)  op(e3, e0) = all_52_12
% 195.69/32.76    (6)   ~ (e2 = e0)
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (2) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.76  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.76  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 195.69/32.76  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 195.69/32.76  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.69/32.76  | |            all_57_13 & $i(all_57_13)))
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (7) implies:
% 195.69/32.76  | |   (8)  op(e3, e3) = e0
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #833.
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 195.69/32.76  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.76  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 195.69/32.76  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.76  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 195.69/32.76  | |            & $i(all_57_1)))
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (9) implies:
% 195.69/32.76  | |   (10)  op(e3, e0) = e0
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1799.
% 195.69/32.76  | | 
% 195.69/32.76  | End of split
% 195.69/32.76  | 
% 195.69/32.76  End of proof
% 195.69/32.76  
% 195.69/32.76  Sub-proof #659 shows that the following formulas are inconsistent:
% 195.69/32.76  ----------------------------------------------------------------
% 195.69/32.76    (1)  all_54_4 = all_52_1
% 195.69/32.76    (2)   ~ (all_52_1 = e0)
% 195.69/32.76    (3)   ~ (all_52_1 = all_52_9)
% 195.69/32.76    (4)   ~ (e3 = e2)
% 195.69/32.76    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (6)  all_56_14 = e2
% 195.69/32.76    (7)  op(e1, e1) = e0
% 195.69/32.76    (8)   ~ (all_52_1 = e1)
% 195.69/32.76    (9)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.76    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.76          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.76    (11)   ~ (all_52_1 = e2)
% 195.69/32.76    (12)  op(e2, e1) = all_52_9
% 195.69/32.76    (13)  op(e3, e1) = e1
% 195.69/32.76    (14)   ~ (e3 = e1)
% 195.69/32.76    (15)   ~ (e3 = e0)
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (10) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (16)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 195.69/32.76  | |           e3)
% 195.69/32.76  | | 
% 195.69/32.76  | | BETA: splitting (16) gives:
% 195.69/32.76  | | 
% 195.69/32.76  | | Case 1:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (17)  all_56_4 = e3 & op(e3, e1) = e3
% 195.69/32.76  | | | 
% 195.69/32.76  | | | ALPHA: (17) implies:
% 195.69/32.76  | | |   (18)  op(e3, e1) = e3
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (5), (13), (14), (18) are inconsistent by sub-proof #1624.
% 195.69/32.76  | | | 
% 195.69/32.76  | | Case 2:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (19)  all_56_5 = e3 & op(e2, e1) = e3
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (11), (12), (19) are inconsistent
% 195.69/32.76  | | |            by sub-proof #677.
% 195.69/32.76  | | | 
% 195.69/32.76  | | End of split
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (20)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 195.69/32.76  | |           e3)
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (4), (5), (6), (7), (15), (20) are inconsistent by sub-proof
% 195.69/32.76  | |            #1494.
% 195.69/32.76  | | 
% 195.69/32.76  | End of split
% 195.69/32.76  | 
% 195.69/32.76  End of proof
% 195.69/32.76  
% 195.69/32.76  Sub-proof #660 shows that the following formulas are inconsistent:
% 195.69/32.76  ----------------------------------------------------------------
% 195.69/32.76    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.69/32.76         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.69/32.76    (2)   ~ (e3 = e2)
% 195.69/32.76    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (4)  op(e2, e2) = all_4_2
% 195.69/32.76    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.76         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.76    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.76         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.76    (7)  all_56_14 = e2
% 195.69/32.76    (8)   ~ (all_52_8 = e1)
% 195.69/32.76    (9)  op(e1, e1) = e0
% 195.69/32.76    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.76          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.69/32.76    (11)   ~ (all_4_2 = e3)
% 195.69/32.76    (12)   ~ (e1 = e0)
% 195.69/32.76    (13)  all_56_2 = e1
% 195.69/32.76    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.76          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.76    (15)   ~ (e2 = e1)
% 195.69/32.76    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.69/32.76          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.69/32.76    (17)  op(e3, e1) = all_52_8
% 195.69/32.76    (18)   ~ (e3 = e1)
% 195.69/32.76    (19)   ~ (e2 = e0)
% 195.69/32.76    (20)   ~ (e3 = e0)
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (6) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (21)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 195.69/32.76  | |           e1)
% 195.69/32.76  | | 
% 195.69/32.76  | | BETA: splitting (21) gives:
% 195.69/32.76  | | 
% 195.69/32.76  | | Case 1:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (22)  all_56_4 = e1 & op(e3, e1) = e1
% 195.69/32.76  | | | 
% 195.69/32.76  | | | ALPHA: (22) implies:
% 195.69/32.76  | | |   (23)  op(e3, e1) = e1
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (3), (8), (17), (23) are inconsistent by sub-proof #1880.
% 195.69/32.76  | | | 
% 195.69/32.76  | | Case 2:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (24)  all_56_5 = e1 & op(e2, e1) = e1
% 195.69/32.76  | | | 
% 195.69/32.76  | | | ALPHA: (24) implies:
% 195.69/32.76  | | |   (25)  all_56_5 = e1
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (11), (12), (13),
% 195.69/32.76  | | |            (14), (15), (16), (18), (19), (20), (25) are inconsistent by
% 195.69/32.76  | | |            sub-proof #1547.
% 195.69/32.76  | | | 
% 195.69/32.76  | | End of split
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (26)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 195.69/32.76  | |           e1)
% 195.69/32.76  | | 
% 195.69/32.76  | | BETA: splitting (26) gives:
% 195.69/32.76  | | 
% 195.69/32.76  | | Case 1:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (27)  all_56_8 = e1 & op(e1, e1) = e1
% 195.69/32.76  | | | 
% 195.69/32.76  | | | ALPHA: (27) implies:
% 195.69/32.76  | | |   (28)  op(e1, e1) = e1
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (3), (9), (12), (28) are inconsistent by sub-proof #1959.
% 195.69/32.76  | | | 
% 195.69/32.76  | | Case 2:
% 195.69/32.76  | | | 
% 195.69/32.76  | | |   (29)  all_56_14 = e1 & op(e0, e1) = e1
% 195.69/32.76  | | | 
% 195.69/32.76  | | | ALPHA: (29) implies:
% 195.69/32.76  | | |   (30)  all_56_14 = e1
% 195.69/32.76  | | | 
% 195.69/32.76  | | | REF_CLOSE: (7), (15), (30) are inconsistent by sub-proof #1815.
% 195.69/32.76  | | | 
% 195.69/32.76  | | End of split
% 195.69/32.76  | | 
% 195.69/32.76  | End of split
% 195.69/32.76  | 
% 195.69/32.76  End of proof
% 195.69/32.76  
% 195.69/32.76  Sub-proof #661 shows that the following formulas are inconsistent:
% 195.69/32.76  ----------------------------------------------------------------
% 195.69/32.76    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (2)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 195.69/32.76    (3)  all_56_2 = e3
% 195.69/32.76    (4)   ~ (e2 = e1)
% 195.69/32.76    (5)  op(e2, e2) = e2
% 195.69/32.76    (6)   ~ (e3 = e1)
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (2) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (7)  all_56_2 = e1 & op(e2, e3) = e1
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (3), (6), (7) are inconsistent by sub-proof #1726.
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (8)  all_56_3 = e1 & op(e2, e2) = e1
% 195.69/32.76  | | 
% 195.69/32.76  | | ALPHA: (8) implies:
% 195.69/32.76  | |   (9)  op(e2, e2) = e1
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1783.
% 195.69/32.76  | | 
% 195.69/32.76  | End of split
% 195.69/32.76  | 
% 195.69/32.76  End of proof
% 195.69/32.76  
% 195.69/32.76  Sub-proof #662 shows that the following formulas are inconsistent:
% 195.69/32.76  ----------------------------------------------------------------
% 195.69/32.76    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.76    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 195.69/32.76    (3)  all_56_2 = e3
% 195.69/32.76    (4)  op(e2, e2) = e2
% 195.69/32.76    (5)   ~ (e2 = e0)
% 195.69/32.76    (6)   ~ (e3 = e0)
% 195.69/32.76  
% 195.69/32.76  Begin of proof
% 195.69/32.76  | 
% 195.69/32.76  | BETA: splitting (2) gives:
% 195.69/32.76  | 
% 195.69/32.76  | Case 1:
% 195.69/32.76  | | 
% 195.69/32.76  | |   (7)  all_56_2 = e0 & op(e2, e3) = e0
% 195.69/32.76  | | 
% 195.69/32.76  | | REF_CLOSE: (3), (6), (7) are inconsistent by sub-proof #1729.
% 195.69/32.76  | | 
% 195.69/32.76  | Case 2:
% 195.69/32.76  | | 
% 195.69/32.77  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 195.69/32.77  | | 
% 195.69/32.77  | | ALPHA: (8) implies:
% 195.69/32.77  | |   (9)  op(e2, e2) = e0
% 195.69/32.77  | | 
% 195.69/32.77  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1939.
% 195.69/32.77  | | 
% 195.69/32.77  | End of split
% 195.69/32.77  | 
% 195.69/32.77  End of proof
% 195.69/32.77  
% 195.69/32.77  Sub-proof #663 shows that the following formulas are inconsistent:
% 195.69/32.77  ----------------------------------------------------------------
% 195.69/32.77    (1)   ~ (e3 = e2)
% 195.69/32.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.77    (3)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.77         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.77    (4)  all_56_14 = e2
% 195.69/32.77    (5)  op(e1, e1) = e0
% 195.69/32.77    (6)   ~ (e1 = e0)
% 195.69/32.77    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.77         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.77    (8)  all_56_4 = e2
% 195.69/32.77    (9)   ~ (e2 = e1)
% 195.69/32.77    (10)   ~ (e3 = e1)
% 195.69/32.77    (11)   ~ (e3 = e0)
% 195.69/32.77  
% 195.69/32.77  Begin of proof
% 195.69/32.77  | 
% 195.69/32.77  | BETA: splitting (7) gives:
% 195.69/32.77  | 
% 195.69/32.77  | Case 1:
% 195.69/32.77  | | 
% 195.69/32.77  | |   (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 195.69/32.77  | |           e3)
% 195.69/32.77  | | 
% 195.69/32.77  | | BETA: splitting (12) gives:
% 195.69/32.77  | | 
% 195.69/32.77  | | Case 1:
% 195.69/32.77  | | | 
% 195.69/32.77  | | |   (13)  all_56_4 = e3 & op(e3, e1) = e3
% 195.69/32.77  | | | 
% 195.69/32.77  | | | ALPHA: (13) implies:
% 195.69/32.77  | | |   (14)  all_56_4 = e3
% 195.69/32.77  | | | 
% 195.69/32.77  | | | REF_CLOSE: (1), (8), (14) are inconsistent by sub-proof #1404.
% 195.69/32.77  | | | 
% 195.69/32.77  | | Case 2:
% 195.69/32.77  | | | 
% 195.69/32.77  | | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 195.69/32.77  | | | 
% 195.69/32.77  | | | ALPHA: (15) implies:
% 195.69/32.77  | | |   (16)  all_56_5 = e3
% 195.69/32.77  | | | 
% 195.69/32.77  | | | BETA: splitting (3) gives:
% 195.69/32.77  | | | 
% 195.69/32.77  | | | Case 1:
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | |   (17)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1)
% 195.69/32.77  | | | |           = e1)
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | | BETA: splitting (17) gives:
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | | Case 1:
% 195.69/32.77  | | | | | 
% 195.69/32.77  | | | | |   (18)  all_56_4 = e1 & op(e3, e1) = e1
% 195.69/32.77  | | | | | 
% 195.69/32.77  | | | | | REF_CLOSE: (8), (9), (18) are inconsistent by sub-proof #1756.
% 195.69/32.77  | | | | | 
% 195.69/32.77  | | | | Case 2:
% 195.69/32.77  | | | | | 
% 195.69/32.77  | | | | |   (19)  all_56_5 = e1 & op(e2, e1) = e1
% 195.69/32.77  | | | | | 
% 195.69/32.77  | | | | | REF_CLOSE: (10), (16), (19) are inconsistent by sub-proof #1749.
% 195.69/32.77  | | | | | 
% 195.69/32.77  | | | | End of split
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | Case 2:
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | |   (20)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1)
% 195.69/32.77  | | | |           = e1)
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | | REF_CLOSE: (2), (4), (5), (6), (9), (20) are inconsistent by sub-proof
% 195.69/32.77  | | | |            #1509.
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | End of split
% 195.69/32.77  | | | 
% 195.69/32.77  | | End of split
% 195.69/32.77  | | 
% 195.69/32.77  | Case 2:
% 195.69/32.77  | | 
% 195.69/32.77  | |   (21)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 195.69/32.77  | |           e3)
% 195.69/32.77  | | 
% 195.69/32.77  | | REF_CLOSE: (1), (2), (4), (5), (11), (21) are inconsistent by sub-proof
% 195.69/32.77  | |            #1494.
% 195.69/32.77  | | 
% 195.69/32.77  | End of split
% 195.69/32.77  | 
% 195.69/32.77  End of proof
% 195.69/32.77  
% 195.69/32.77  Sub-proof #664 shows that the following formulas are inconsistent:
% 195.69/32.77  ----------------------------------------------------------------
% 195.69/32.77    (1)   ~ (e3 = e2)
% 195.69/32.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.77    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.77         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.77    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.77         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.77    (5)  all_56_13 = e2
% 195.69/32.77    (6)  op(e1, e1) = e0
% 195.69/32.77    (7)   ~ (e1 = e0)
% 195.69/32.77    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.77         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.77    (9)  all_56_4 = e2
% 195.69/32.77    (10)   ~ (e2 = e1)
% 195.69/32.77    (11)   ~ (e3 = e1)
% 195.69/32.77    (12)  all_56_13 = e0 & op(e0, e2) = e0
% 195.69/32.77    (13)   ~ (e2 = e0)
% 195.69/32.77    (14)   ~ (e3 = e0)
% 195.69/32.77  
% 195.69/32.77  Begin of proof
% 195.69/32.77  | 
% 195.69/32.77  | ALPHA: (12) implies:
% 195.69/32.77  |   (15)  all_56_13 = e0
% 195.69/32.77  | 
% 195.69/32.77  | COMBINE_EQS: (5), (15) imply:
% 195.69/32.77  |   (16)  e2 = e0
% 195.69/32.77  | 
% 195.69/32.77  | COMBINE_EQS: (9), (16) imply:
% 195.69/32.77  |   (17)  all_56_4 = e0
% 195.69/32.77  | 
% 195.69/32.77  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (10), (11), (13), (14), (17) are
% 195.69/32.77  |            inconsistent by sub-proof #1809.
% 195.69/32.77  | 
% 195.69/32.77  End of proof
% 195.69/32.77  
% 195.69/32.77  Sub-proof #665 shows that the following formulas are inconsistent:
% 195.69/32.77  ----------------------------------------------------------------
% 195.69/32.77    (1)  all_56_12 = e0 & op(e0, e3) = e0
% 195.69/32.77    (2)   ~ (e3 = e2)
% 195.69/32.77    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.77    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.77         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.77    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.77         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.77    (6)  op(e1, e1) = e0
% 195.69/32.77    (7)   ~ (e1 = e0)
% 195.69/32.77    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.77         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.77    (9)  all_56_4 = e2
% 195.69/32.77    (10)   ~ (e2 = e1)
% 195.69/32.77    (11)  all_56_12 = e2
% 195.69/32.77    (12)   ~ (e3 = e1)
% 195.69/32.77    (13)   ~ (e2 = e0)
% 195.69/32.77    (14)   ~ (e3 = e0)
% 195.69/32.77  
% 195.69/32.77  Begin of proof
% 195.69/32.77  | 
% 195.69/32.77  | ALPHA: (1) implies:
% 195.69/32.77  |   (15)  all_56_12 = e0
% 195.69/32.77  | 
% 195.69/32.77  | COMBINE_EQS: (11), (15) imply:
% 195.69/32.77  |   (16)  e2 = e0
% 195.69/32.77  | 
% 195.69/32.77  | COMBINE_EQS: (9), (16) imply:
% 195.69/32.77  |   (17)  all_56_4 = e0
% 195.69/32.77  | 
% 195.69/32.77  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14), (17) are
% 195.69/32.77  |            inconsistent by sub-proof #1809.
% 195.69/32.77  | 
% 195.69/32.77  End of proof
% 195.69/32.77  
% 195.69/32.77  Sub-proof #666 shows that the following formulas are inconsistent:
% 195.69/32.77  ----------------------------------------------------------------
% 195.69/32.77    (1)   ~ (all_52_13 = e2)
% 195.69/32.77    (2)   ~ (e3 = e2)
% 195.69/32.77    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.77    (4)  op(e1, e2) = e2
% 195.69/32.77    (5)   ~ (all_52_14 = e3)
% 195.69/32.77    (6)  op(e2, e0) = all_52_13
% 195.69/32.77    (7)  op(e1, e0) = all_52_14
% 195.69/32.77    (8)   ~ (all_52_12 = e2)
% 195.69/32.77    (9)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.69/32.77         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.69/32.77    (10)  op(e1, e1) = e0
% 195.69/32.77    (11)   ~ (e1 = e0)
% 195.69/32.77    (12)   ~ (e2 = e1)
% 195.69/32.77    (13)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 195.69/32.77          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.69/32.77    (14)  op(e3, e0) = all_52_12
% 195.69/32.77    (15)  all_56_7 = e2
% 195.69/32.77    (16)  op(e0, e0) = e3
% 195.69/32.77    (17)   ~ (e3 = e1)
% 195.69/32.77    (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.77          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.77    (19)   ~ (e3 = e0)
% 195.69/32.77  
% 195.69/32.77  Begin of proof
% 195.69/32.77  | 
% 195.69/32.77  | BETA: splitting (13) gives:
% 195.69/32.77  | 
% 195.69/32.77  | Case 1:
% 195.69/32.77  | | 
% 195.69/32.77  | |   (20)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 195.69/32.77  | |           e2)
% 195.69/32.77  | | 
% 195.69/32.77  | | REF_CLOSE: (1), (3), (6), (8), (14), (20) are inconsistent by sub-proof
% 195.69/32.77  | |            #736.
% 195.69/32.77  | | 
% 195.69/32.77  | Case 2:
% 195.69/32.77  | | 
% 195.69/32.77  | |   (21)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.69/32.77  | |           e2)
% 195.69/32.77  | | 
% 195.69/32.77  | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (10), (11), (12), (15), (16), (17),
% 195.69/32.77  | |            (18), (19), (21) are inconsistent by sub-proof #667.
% 195.69/32.77  | | 
% 195.69/32.77  | End of split
% 195.69/32.77  | 
% 195.69/32.77  End of proof
% 195.69/32.77  
% 195.69/32.77  Sub-proof #667 shows that the following formulas are inconsistent:
% 195.69/32.77  ----------------------------------------------------------------
% 195.69/32.77    (1)   ~ (e3 = e2)
% 195.69/32.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.77    (3)  op(e1, e2) = e2
% 195.69/32.77    (4)   ~ (all_52_14 = e3)
% 195.69/32.77    (5)  op(e1, e0) = all_52_14
% 195.69/32.77    (6)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.69/32.77         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.69/32.77    (7)  op(e1, e1) = e0
% 195.69/32.77    (8)   ~ (e1 = e0)
% 195.69/32.77    (9)   ~ (e2 = e1)
% 195.69/32.77    (10)  all_56_7 = e2
% 195.69/32.77    (11)  op(e0, e0) = e3
% 195.69/32.77    (12)   ~ (e3 = e1)
% 195.69/32.77    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.77          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.77    (14)   ~ (e3 = e0)
% 195.69/32.77    (15)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.69/32.77  
% 195.69/32.77  Begin of proof
% 195.69/32.77  | 
% 195.69/32.77  | BETA: splitting (15) gives:
% 195.69/32.77  | 
% 195.69/32.77  | Case 1:
% 195.69/32.77  | | 
% 195.69/32.77  | |   (16)  all_56_11 = e2 & op(e1, e0) = e2
% 195.69/32.77  | | 
% 195.69/32.77  | | ALPHA: (16) implies:
% 195.69/32.77  | |   (17)  all_56_11 = e2
% 195.69/32.77  | | 
% 195.69/32.77  | | BETA: splitting (6) gives:
% 195.69/32.77  | | 
% 195.69/32.77  | | Case 1:
% 195.69/32.77  | | | 
% 195.69/32.77  | | |   (18)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 195.69/32.77  | | |           e1)
% 195.69/32.77  | | | 
% 195.69/32.77  | | | BETA: splitting (18) gives:
% 195.69/32.77  | | | 
% 195.69/32.77  | | | Case 1:
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | |   (19)  all_56_6 = e1 & op(e1, e3) = e1
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | | ALPHA: (19) implies:
% 195.69/32.77  | | | |   (20)  all_56_6 = e1
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (12), (13), (14), (20) are
% 195.69/32.77  | | | |            inconsistent by sub-proof #668.
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | Case 2:
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | |   (21)  all_56_7 = e1 & op(e1, e2) = e1
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | | REF_CLOSE: (9), (10), (21) are inconsistent by sub-proof #1765.
% 195.69/32.77  | | | | 
% 195.69/32.77  | | | End of split
% 195.69/32.77  | | | 
% 195.69/32.77  | | Case 2:
% 195.69/32.77  | | | 
% 195.69/32.77  | | |   (22)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 195.69/32.77  | | |           e1)
% 195.69/32.77  | | | 
% 195.69/32.77  | | | REF_CLOSE: (2), (7), (8), (9), (17), (22) are inconsistent by sub-proof
% 195.69/32.77  | | |            #1491.
% 195.69/32.77  | | | 
% 195.69/32.77  | | End of split
% 195.69/32.77  | | 
% 195.69/32.77  | Case 2:
% 195.69/32.77  | | 
% 195.69/32.77  | |   (23)  all_56_15 = e2 & op(e0, e0) = e2
% 195.69/32.77  | | 
% 195.69/32.77  | | ALPHA: (23) implies:
% 195.69/32.77  | |   (24)  op(e0, e0) = e2
% 195.69/32.77  | | 
% 195.69/32.77  | | REF_CLOSE: (1), (2), (11), (24) are inconsistent by sub-proof #1692.
% 195.69/32.77  | | 
% 195.69/32.77  | End of split
% 195.69/32.77  | 
% 195.69/32.77  End of proof
% 195.69/32.77  
% 195.69/32.77  Sub-proof #668 shows that the following formulas are inconsistent:
% 195.69/32.77  ----------------------------------------------------------------
% 195.69/32.77    (1)   ~ (e3 = e2)
% 195.69/32.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.77    (3)  op(e1, e2) = e2
% 195.69/32.77    (4)   ~ (all_52_14 = e3)
% 195.69/32.77    (5)  op(e1, e0) = all_52_14
% 195.69/32.77    (6)  op(e1, e1) = e0
% 195.69/32.77    (7)  all_56_6 = e1
% 195.69/32.77    (8)   ~ (e3 = e1)
% 195.69/32.77    (9)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.77         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.77    (10)   ~ (e3 = e0)
% 195.69/32.77  
% 195.69/32.77  Begin of proof
% 195.69/32.77  | 
% 195.69/32.77  | BETA: splitting (9) gives:
% 195.69/32.77  | 
% 195.69/32.77  | Case 1:
% 195.69/32.77  | | 
% 195.69/32.77  | |   (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 195.69/32.77  | |           e3)
% 195.69/32.77  | | 
% 195.69/32.77  | | BETA: splitting (11) gives:
% 195.69/32.77  | | 
% 195.69/32.77  | | Case 1:
% 195.69/32.77  | | | 
% 195.69/32.77  | | |   (12)  all_56_6 = e3 & op(e1, e3) = e3
% 195.69/32.77  | | | 
% 195.69/32.77  | | | ALPHA: (12) implies:
% 195.69/32.77  | | |   (13)  all_56_6 = e3
% 195.69/32.77  | | | 
% 195.69/32.77  | | | COMBINE_EQS: (7), (13) imply:
% 195.69/32.77  | | |   (14)  e3 = e1
% 195.69/32.77  | | | 
% 195.69/32.77  | | | REDUCE: (8), (14) imply:
% 195.69/32.77  | | |   (15)  $false
% 195.69/32.77  | | | 
% 195.69/32.77  | | | CLOSE: (15) is inconsistent.
% 195.69/32.77  | | | 
% 195.69/32.77  | | Case 2:
% 195.69/32.77  | | | 
% 195.69/32.77  | | |   (16)  all_56_7 = e3 & op(e1, e2) = e3
% 195.69/32.77  | | | 
% 195.69/32.77  | | | ALPHA: (16) implies:
% 195.69/32.77  | | |   (17)  op(e1, e2) = e3
% 195.69/32.77  | | | 
% 195.69/32.77  | | | REF_CLOSE: (1), (2), (3), (17) are inconsistent by sub-proof #823.
% 195.69/32.77  | | | 
% 195.69/32.77  | | End of split
% 195.69/32.77  | | 
% 195.69/32.77  | Case 2:
% 195.69/32.77  | | 
% 195.69/32.77  | |   (18)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 195.69/32.77  | |           e3)
% 195.69/32.77  | | 
% 195.69/32.77  | | REF_CLOSE: (2), (4), (5), (6), (10), (18) are inconsistent by sub-proof
% 195.69/32.77  | |            #1406.
% 195.69/32.77  | | 
% 195.69/32.77  | End of split
% 195.69/32.77  | 
% 195.69/32.77  End of proof
% 195.69/32.77  
% 195.69/32.77  Sub-proof #669 shows that the following formulas are inconsistent:
% 195.69/32.77  ----------------------------------------------------------------
% 195.69/32.77    (1)  op(e1, e1) = e1
% 195.69/32.77    (2)  op(e1, e3) = all_52_2
% 195.69/32.77    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.69/32.77           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.69/32.77           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.69/32.77                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.69/32.77               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.77               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.77           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.69/32.77           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.77               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.69/32.77           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.69/32.77               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.69/32.77           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.69/32.77           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.69/32.77               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.77               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.77               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.77         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.69/32.77           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.77           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.69/32.77               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.77             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.77         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.77           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.77           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.69/32.77                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.69/32.77               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.69/32.77               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.69/32.77           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.69/32.77           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.77             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.77           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.77               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.69/32.77           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.69/32.77           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.69/32.77               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.77               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.77               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.77         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.69/32.77           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.69/32.77           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.69/32.77               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.77             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.77         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.77           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.77           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.77                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.69/32.77               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.77               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.69/32.77           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.69/32.77             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.77               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.77           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.77               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.69/32.77           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.69/32.77           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.69/32.77               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.77               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.77               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.77         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.69/32.77           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.69/32.77           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.69/32.77               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.69/32.77             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.77         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.77             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.77           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.77               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.77             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.77         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.69/32.77             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.77           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.77               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.77             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.77         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.69/32.77             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.77           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.69/32.77               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.69/32.77             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.77         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.69/32.77             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.77           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.69/32.77               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.69/32.77             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.77    (4)  all_54_4 = all_52_1
% 195.69/32.77    (5)   ~ (all_52_13 = e3)
% 195.69/32.77    (6)  op(e1, e2) = all_52_6
% 195.69/32.77    (7)  all_54_7 = all_52_13
% 195.69/32.77    (8)   ~ (all_52_6 = e0)
% 195.69/32.77    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.69/32.77         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.69/32.77    (10)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 195.69/32.77            op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 195.69/32.77              e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 195.69/32.77    (11)   ~ (all_52_11 = e1)
% 195.69/32.77    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 195.69/32.77          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.69/32.77    (13)   ~ (all_52_6 = all_52_7)
% 195.69/32.77    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.69/32.77          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.69/32.77    (15)   ~ (all_52_2 = e0)
% 195.69/32.77    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.69/32.77          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.69/32.77    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.77            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.77    (18)   ~ (all_52_9 = e1)
% 195.69/32.77    (19)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 195.69/32.77            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 195.69/32.77              e1) = all_24_1 & $i(all_24_1))
% 195.69/32.77    (20)  op(e3, e2) = all_52_4
% 195.69/32.77    (21)  op(e2, e2) = all_4_2
% 195.69/32.77    (22)  op(e2, e2) = e1
% 195.69/32.77    (23)   ~ (all_48_0 = e2)
% 195.69/32.77    (24)   ~ (all_52_7 = all_52_11)
% 195.69/32.77    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.77          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.77    (26)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.77          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.77    (27)   ~ (all_52_4 = all_52_8)
% 195.69/32.77    (28)  all_54_13 = all_52_7
% 195.69/32.77    (29)   ~ (all_52_4 = all_52_7)
% 195.69/32.77    (30)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.69/32.77          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.69/32.77            e1)
% 195.69/32.77    (31)  all_54_9 = all_52_6
% 195.69/32.77    (32)   ~ (all_52_14 = e3)
% 195.69/32.77    (33)  op(e0, e3) = all_52_3
% 195.69/32.77    (34)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.69/32.77          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.69/32.77            e2)
% 195.69/32.77    (35)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 195.69/32.77    (36)  op(e2, e0) = all_52_13
% 195.69/32.77    (37)   ~ (e1 = e0)
% 195.69/32.77    (38)  op(e1, e0) = all_52_14
% 195.69/32.77    (39)  all_56_15 = e3
% 195.69/32.77    (40)  all_54_8 = all_52_2
% 195.69/32.77    (41)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.77          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.69/32.77    (42)  all_56_12 = e1
% 195.69/32.77    (43)   ~ (all_52_8 = all_52_9)
% 195.69/32.77    (44)   ~ (all_52_13 = e1)
% 195.69/32.78    (45)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.78              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.78            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.78            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.78            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.78            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.78            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.78            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.78            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.69/32.78            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.78            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.78            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.69/32.78            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.78            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.78            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.78            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.78            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.78            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.69/32.78            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.78            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.78            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.69/32.78            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.78            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.78            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.69/32.78            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.78            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.78            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.78            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.78            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.78            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.69/32.78            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.69/32.78            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.69/32.78            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.78            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.78            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.78            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.78            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.78            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.78            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.78            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.78            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.78            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.69/32.78            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.78            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.78            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.78            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.78            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.78            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.78              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.78            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.78            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.78              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.78            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.78            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.69/32.78                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.78                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.78                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.78                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.78                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.78                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.78                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.78              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.78                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.78                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.78                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.78                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.78                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.78                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.78                $i(all_57_7))))
% 195.69/32.78    (46)   ~ (all_52_2 = e2)
% 195.69/32.78    (47)   ~ (all_52_7 = e1)
% 195.69/32.78    (48)  all_56_9 = e1
% 195.69/32.78    (49)  op(e0, e1) = all_52_11
% 195.69/32.78    (50)   ~ (all_52_12 = e3)
% 195.69/32.78    (51)   ~ (all_52_6 = all_52_14)
% 195.69/32.78    (52)   ~ (all_52_14 = e1)
% 195.69/32.78    (53)   ~ (all_52_1 = e1)
% 195.69/32.78    (54)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.78          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.69/32.78    (55)  op(e0, e3) = all_18_1
% 195.69/32.78    (56)   ~ (all_4_2 = e3)
% 195.69/32.78    (57)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.69/32.78    (58)  op(e3, e3) = e2
% 195.69/32.78    (59)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.69/32.78          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.78    (60)  all_54_11 = all_52_14
% 195.69/32.78    (61)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.69/32.78    (62)  op(e0, e3) = all_48_1
% 195.69/32.78    (63)   ~ (all_52_1 = all_52_13)
% 195.69/32.78    (64)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.78    (65)   ~ (all_52_4 = e1)
% 195.69/32.78    (66)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.78          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.78    (67)   ~ (all_52_13 = all_52_14)
% 195.69/32.78    (68)   ~ (all_52_2 = all_52_6)
% 195.69/32.78    (69)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.69/32.78    (70)  op(all_48_1, e0) = all_48_0
% 195.69/32.78    (71)   ~ (all_52_1 = e2)
% 195.69/32.78    (72)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.78              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.69/32.78                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.69/32.78                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.69/32.78    (73)   ~ (e2 = e1)
% 195.69/32.78    (74)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.69/32.78    (75)   ~ (all_52_2 = e1)
% 195.69/32.78    (76)  op(e0, e3) = e1
% 195.69/32.78    (77)  op(e3, e0) = all_52_12
% 195.69/32.78    (78)   ~ (all_52_7 = e3)
% 195.69/32.78    (79)  all_44_2 = e1
% 195.69/32.78    (80)  op(e2, e1) = all_52_9
% 195.69/32.78    (81)   ~ (all_52_1 = all_52_2)
% 195.69/32.78    (82)   ~ (all_52_4 = all_52_6)
% 195.69/32.78    (83)  op(e3, e1) = all_52_8
% 195.69/32.78    (84)  op(e0, e0) = e3
% 195.69/32.78    (85)   ~ (all_52_9 = all_52_13)
% 195.69/32.78    (86)  all_54_1 = all_52_4
% 195.69/32.78    (87)   ~ (all_52_6 = e1)
% 195.69/32.78    (88)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.78          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.78    (89)  op(e0, e2) = all_52_7
% 195.69/32.78    (90)   ~ (e2 = e0)
% 195.69/32.78    (91)  op(e2, e3) = all_52_1
% 195.69/32.78    (92)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.69/32.78    (93)   ~ (all_52_3 = all_52_11)
% 195.69/32.78  
% 195.69/32.78  Begin of proof
% 195.69/32.78  | 
% 195.69/32.78  | SIMP: (37) implies:
% 195.69/32.78  |   (94)   ~ (e1 = e0)
% 195.69/32.78  | 
% 195.69/32.78  | BETA: splitting (57) gives:
% 195.69/32.78  | 
% 195.69/32.78  | Case 1:
% 195.69/32.78  | | 
% 195.69/32.78  | |   (95)  all_54_8 = e3
% 195.69/32.78  | | 
% 195.69/32.78  | | COMBINE_EQS: (40), (95) imply:
% 195.69/32.78  | |   (96)  all_52_2 = e3
% 195.69/32.78  | | 
% 195.69/32.78  | | REDUCE: (81), (96) imply:
% 195.69/32.78  | |   (97)   ~ (all_52_1 = e3)
% 195.69/32.78  | | 
% 195.69/32.78  | | REDUCE: (68), (96) imply:
% 195.69/32.78  | |   (98)   ~ (all_52_6 = e3)
% 195.69/32.78  | | 
% 195.69/32.78  | | SIMP: (98) implies:
% 195.69/32.78  | |   (99)   ~ (all_52_6 = e3)
% 195.69/32.78  | | 
% 195.69/32.78  | | REDUCE: (46), (96) imply:
% 195.69/32.78  | |   (100)   ~ (e3 = e2)
% 195.69/32.78  | | 
% 195.69/32.78  | | REDUCE: (75), (96) imply:
% 195.69/32.78  | |   (101)   ~ (e3 = e1)
% 195.69/32.78  | | 
% 195.69/32.78  | | REDUCE: (15), (96) imply:
% 195.69/32.78  | |   (102)   ~ (e3 = e0)
% 195.69/32.78  | | 
% 195.69/32.78  | | BETA: splitting (41) gives:
% 195.69/32.78  | | 
% 195.69/32.78  | | Case 1:
% 195.69/32.78  | | | 
% 195.69/32.78  | | |   (103)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 195.69/32.78  | | |            e3)
% 195.69/32.78  | | | 
% 195.69/32.78  | | | BETA: splitting (103) gives:
% 195.69/32.78  | | | 
% 195.69/32.78  | | | Case 1:
% 195.69/32.78  | | | | 
% 195.69/32.78  | | | |   (104)  all_56_1 = e3 & op(e3, e2) = e3
% 195.69/32.78  | | | | 
% 195.69/32.78  | | | | ALPHA: (104) implies:
% 195.69/32.78  | | | |   (105)  all_56_1 = e3
% 195.69/32.78  | | | | 
% 195.69/32.78  | | | | BETA: splitting (59) gives:
% 195.69/32.78  | | | | 
% 195.69/32.78  | | | | Case 1:
% 195.69/32.78  | | | | | 
% 195.69/32.78  | | | | |   (106)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3,
% 195.69/32.78  | | | | |              e2) = e0)
% 195.69/32.78  | | | | | 
% 195.69/32.78  | | | | | BETA: splitting (106) gives:
% 195.69/32.78  | | | | | 
% 195.69/32.78  | | | | | Case 1:
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | |   (107)  all_56_0 = e0 & op(e3, e3) = e0
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | | ALPHA: (107) implies:
% 195.69/32.78  | | | | | |   (108)  op(e3, e3) = e0
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | | REF_CLOSE: (17), (58), (90), (108) are inconsistent by sub-proof
% 195.69/32.78  | | | | | |            #833.
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | Case 2:
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | |   (109)  all_56_1 = e0 & op(e3, e2) = e0
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | | REF_CLOSE: (102), (105), (109) are inconsistent by sub-proof #1878.
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | End of split
% 195.69/32.78  | | | | | 
% 195.69/32.78  | | | | Case 2:
% 195.69/32.78  | | | | | 
% 195.69/32.78  | | | | |   (110)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 195.69/32.78  | | | | |              e0) = e0)
% 195.69/32.78  | | | | | 
% 195.69/32.78  | | | | | BETA: splitting (110) gives:
% 195.69/32.78  | | | | | 
% 195.69/32.78  | | | | | Case 1:
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | |   (111)  all_56_4 = e0 & op(e3, e1) = e0
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | | ALPHA: (111) implies:
% 195.69/32.78  | | | | | |   (112)  all_56_4 = e0
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | | BETA: splitting (64) gives:
% 195.69/32.78  | | | | | | 
% 195.69/32.78  | | | | | | Case 1:
% 195.69/32.78  | | | | | | | 
% 195.69/32.78  | | | | | | |   (113)  all_54_4 = e3
% 195.69/32.78  | | | | | | | 
% 195.69/32.78  | | | | | | | COMBINE_EQS: (4), (113) imply:
% 195.69/32.78  | | | | | | |   (114)  all_52_1 = e3
% 195.69/32.78  | | | | | | | 
% 195.69/32.78  | | | | | | | REDUCE: (97), (114) imply:
% 195.69/32.78  | | | | | | |   (115)  $false
% 195.69/32.78  | | | | | | | 
% 195.69/32.78  | | | | | | | CLOSE: (115) is inconsistent.
% 195.69/32.78  | | | | | | | 
% 195.69/32.78  | | | | | | Case 2:
% 195.69/32.78  | | | | | | | 
% 195.69/32.78  | | | | | | |   (116)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.78  | | | | | | | 
% 195.69/32.78  | | | | | | | BETA: splitting (116) gives:
% 195.69/32.78  | | | | | | | 
% 195.69/32.78  | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | 
% 195.69/32.78  | | | | | | | |   (117)  all_54_4 = e2
% 195.69/32.78  | | | | | | | | 
% 195.69/32.78  | | | | | | | | COMBINE_EQS: (4), (117) imply:
% 195.69/32.78  | | | | | | | |   (118)  all_52_1 = e2
% 195.69/32.78  | | | | | | | | 
% 195.69/32.78  | | | | | | | | REDUCE: (71), (118) imply:
% 195.69/32.78  | | | | | | | |   (119)  $false
% 195.69/32.78  | | | | | | | | 
% 195.69/32.78  | | | | | | | | CLOSE: (119) is inconsistent.
% 195.69/32.78  | | | | | | | | 
% 195.69/32.78  | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | 
% 195.69/32.78  | | | | | | | |   (120)   ~ (all_54_4 = e2)
% 195.69/32.78  | | | | | | | |   (121)  all_54_4 = e1 | all_54_4 = e0
% 195.69/32.78  | | | | | | | | 
% 195.69/32.78  | | | | | | | | BETA: splitting (92) gives:
% 195.69/32.78  | | | | | | | | 
% 195.69/32.78  | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | 
% 195.69/32.78  | | | | | | | | |   (122)  all_54_9 = e3
% 195.69/32.78  | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | REF_CLOSE: (31), (99), (122) are inconsistent by sub-proof
% 195.69/32.78  | | | | | | | | |            #715.
% 195.69/32.78  | | | | | | | | | 
% 195.69/32.78  | | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | | 
% 195.69/32.78  | | | | | | | | |   (123)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.69/32.78  | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | BETA: splitting (123) gives:
% 195.69/32.78  | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | |   (124)  all_54_9 = e2
% 195.69/32.78  | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | COMBINE_EQS: (31), (124) imply:
% 195.69/32.78  | | | | | | | | | |   (125)  all_52_6 = e2
% 195.69/32.78  | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | SIMP: (125) implies:
% 195.69/32.78  | | | | | | | | | |   (126)  all_52_6 = e2
% 195.69/32.78  | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | REDUCE: (82), (126) imply:
% 195.69/32.78  | | | | | | | | | |   (127)   ~ (all_52_4 = e2)
% 195.69/32.78  | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | REDUCE: (13), (126) imply:
% 195.69/32.78  | | | | | | | | | |   (128)   ~ (all_52_7 = e2)
% 195.69/32.78  | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | SIMP: (128) implies:
% 195.69/32.78  | | | | | | | | | |   (129)   ~ (all_52_7 = e2)
% 195.69/32.78  | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | BETA: splitting (69) gives:
% 195.69/32.78  | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | |   (130)  all_54_13 = e3
% 195.69/32.78  | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | REF_CLOSE: (28), (78), (130) are inconsistent by sub-proof
% 195.69/32.78  | | | | | | | | | | |            #1445.
% 195.69/32.78  | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | |   (131)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.69/32.78  | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | BETA: splitting (131) gives:
% 195.69/32.78  | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | |   (132)  all_54_13 = e2
% 195.69/32.78  | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | REF_CLOSE: (28), (129), (132) are inconsistent by sub-proof
% 195.69/32.78  | | | | | | | | | | | |            #1444.
% 195.69/32.78  | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | |   (133)   ~ (all_54_13 = e2)
% 195.69/32.78  | | | | | | | | | | | |   (134)  all_54_13 = e1 | all_54_13 = e0
% 195.69/32.78  | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | BETA: splitting (134) gives:
% 195.69/32.78  | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | |   (135)  all_54_13 = e1
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | REF_CLOSE: (28), (47), (135) are inconsistent by sub-proof
% 195.69/32.78  | | | | | | | | | | | | |            #1654.
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | |   (136)  all_54_13 = e0
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | COMBINE_EQS: (28), (136) imply:
% 195.69/32.78  | | | | | | | | | | | | |   (137)  all_52_7 = e0
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | SIMP: (137) implies:
% 195.69/32.78  | | | | | | | | | | | | |   (138)  all_52_7 = e0
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | REDUCE: (29), (138) imply:
% 195.69/32.78  | | | | | | | | | | | | |   (139)   ~ (all_52_4 = e0)
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | REDUCE: (129), (138) imply:
% 195.69/32.78  | | | | | | | | | | | | |   (140)   ~ (e2 = e0)
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | REDUCE: (89), (138) imply:
% 195.69/32.78  | | | | | | | | | | | | |   (141)  op(e0, e2) = e0
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | BETA: splitting (74) gives:
% 195.69/32.78  | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | |   (142)  all_54_1 = e3
% 195.69/32.78  | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | COMBINE_EQS: (86), (142) imply:
% 195.69/32.78  | | | | | | | | | | | | | |   (143)  all_52_4 = e3
% 195.69/32.78  | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | REDUCE: (27), (143) imply:
% 195.69/32.78  | | | | | | | | | | | | | |   (144)   ~ (all_52_8 = e3)
% 195.69/32.78  | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | SIMP: (144) implies:
% 195.69/32.78  | | | | | | | | | | | | | |   (145)   ~ (all_52_8 = e3)
% 195.69/32.78  | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | REDUCE: (20), (143) imply:
% 195.69/32.78  | | | | | | | | | | | | | |   (146)  op(e3, e2) = e3
% 195.69/32.78  | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 195.69/32.78  | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | |   (147)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.78  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.78  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.78  | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.78  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.78  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.78  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.78  | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.78  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.78  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.78  | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.78  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.78  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.78  | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.78  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.78  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.78  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.78  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.78  | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.78  | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.78  | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.69/32.78  | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.78  | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.78  | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.78  | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.78  | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.78  | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.78  | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 195.69/32.78  | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | |   (148)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.78  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.78  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.78  | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.78  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.78  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.78  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.78  | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.78  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.78  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.78  | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.78  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.78  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.78  | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 195.69/32.78  | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | |   (149)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.78  | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.78  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.78  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.78  | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.78  | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (22), (84), (100), (101), (141), (149) are
% 195.69/32.78  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #674.
% 195.69/32.78  | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | |   (150)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.78  | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.78  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.78  | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.78  | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (17), (58), (73), (75), (150) are
% 195.69/32.78  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #831.
% 195.69/32.78  | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | End of split
% 195.69/32.78  | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | |   (151)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.78  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.78  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.78  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.78  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.78  | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.78  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.78  | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.69/32.78  | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.78  | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.78  | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.78  | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.78  | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.78  | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.78  | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 195.69/32.78  | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | |   (152)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.78  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.78  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.78  | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.78  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.78  | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.69/32.78  | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 195.69/32.78  | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | |   (153)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | |          op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | |          e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.78  | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.78  | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 195.69/32.78  | | | | | | | | | | | | | | | | | |   (154)  op(e3, e3) = e0
% 195.69/32.78  | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (58), (90), (154) are inconsistent by
% 195.69/32.78  | | | | | | | | | | | | | | | | | |            sub-proof #833.
% 195.69/32.78  | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | |   (155)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 195.69/32.78  | | | | | | | | | | | | | | | | | |            e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.69/32.78  | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 195.69/32.78  | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | |              all_57_1 & $i(all_57_1)))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | ALPHA: (155) implies:
% 195.69/32.78  | | | | | | | | | | | | | | | | | |   (156)  all_57_15 = e3
% 195.69/32.78  | | | | | | | | | | | | | | | | | |   (157)  op(e0, e3) = e0
% 195.69/32.78  | | | | | | | | | | | | | | | | | |   (158)  op(e3, e0) = e0
% 195.69/32.78  | | | | | | | | | | | | | | | | | |   (159)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.69/32.78  | | | | | | | | | | | | | | | | | |              = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |   (160)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |   (161)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |   (162)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (56), (159), (162) are inconsistent by
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1223.
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |   (163)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (17), (22), (75), (101), (163) are
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1678.
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |   (164)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (17), (73), (83), (87), (141), (145),
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | |            (164) are inconsistent by sub-proof #673.
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.78  | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.78  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |   (165)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |   (166)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |   (167)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (58), (73), (84), (101), (167) are
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #676.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |   (168)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (84), (101), (102), (158), (168) are
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |   (169)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |   (170)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (58), (90), (170) are inconsistent by
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            sub-proof #819.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |   (171)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |   (172)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |   (173)  op(e1, e1) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (25), (26), (66), (73), (90), (94), (100),
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |            (101), (102), (112), (173) are inconsistent by
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |   (174)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (175) implies:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |   (176)  op(e1, e0) = e1
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (38), (52), (176) are inconsistent by
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |   (177)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |   (178)  op(e0, e0) = all_57_15
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |   (179)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |   (180)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (22), (84), (101), (146), (178), (180) are
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1186.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |   (181)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (182) implies:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  op(e1, e1) = e2
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (17), (73), (183) are inconsistent by
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1955.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (184)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (185) implies:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  op(e3, e3) = e1
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (58), (73), (186) are inconsistent by
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1934.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7)
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  op(e0, e1) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (33), (49), (93), (157), (188) are
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1671.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | |   (189)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.79  | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.79  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.79  | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.79  | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | |   (190)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |          op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | |          e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 195.69/32.79  | | | | | | | | | | | | | | | | | |   (191)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (6), (17), (22), (25), (26), (38), (45),
% 195.69/32.79  | | | | | | | | | | | | | | | | | |            (50), (52), (58), (66), (71), (73), (75), (77),
% 195.69/32.79  | | | | | | | | | | | | | | | | | |            (83), (84), (87), (90), (91), (94), (100), (101),
% 195.69/32.79  | | | | | | | | | | | | | | | | | |            (102), (112), (141), (145), (146), (191) are
% 195.69/32.79  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #672.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | |   (192)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 195.69/32.79  | | | | | | | | | | | | | | | | | |            e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | ALPHA: (192) implies:
% 195.69/32.79  | | | | | | | | | | | | | | | | | |   (193)  op(e1, e2) = e1
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17), (87), (193) are inconsistent by
% 195.69/32.79  | | | | | | | | | | | | | | | | | |            sub-proof #1970.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | |   (194)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.79  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.79  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.79  | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.79  | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.69/32.79  | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.79  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.79  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.79  | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.79  | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.79  | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.79  | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.79  | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.79  | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.79  | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.79  | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.79  | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.79  | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.79  | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.79  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.79  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.79  | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.79  | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.79  | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.79  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.79  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.79  | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.79  | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.79  | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.79  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.79  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.79  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.79  | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | |   (195)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.79  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.79  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.79  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.79  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.79  | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.79  | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.69/32.79  | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.79  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.79  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.79  | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.79  | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.79  | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.79  | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.79  | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.79  | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.69/32.79  | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | |   (196)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.79  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.79  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.79  | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.79  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.79  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.79  | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.69/32.79  | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 195.69/32.79  | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | |   (197)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 195.69/32.79  | | | | | | | | | | | | | | | | | |   (198)  op(e2, e2) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (22), (94), (198) are inconsistent by
% 195.69/32.79  | | | | | | | | | | | | | | | | | |            sub-proof #1909.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | |   (199)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 195.69/32.79  | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.69/32.79  | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 195.69/32.79  | | | | | | | | | | | | | | | | | |   (200)  op(e2, e0) = e0
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17), (36), (53), (63), (121), (200) are
% 195.69/32.79  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #671.
% 195.69/32.79  | | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.79  | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.79  | | | | | | | | | | | | | | | | | 
% 195.69/32.79  | | | | | | | | | | | | | | | | |   (201)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.79  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.79  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.80  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.80  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.80  | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.80  | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.80  | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.80  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.80  | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.80  | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.80  | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.80  | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.80  | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.80  | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.69/32.80  | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (17), (49), (84), (101), (201) are
% 195.69/32.80  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1108.
% 195.69/32.80  | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | Case 2:
% 195.69/32.80  | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | |   (202)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.80  | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.80  | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.80  | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.80  | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.80  | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.80  | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.80  | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.80  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.80  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.80  | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.80  | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.80  | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.80  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.80  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.80  | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.80  | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.80  | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.80  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.80  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.80  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.80  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.80  | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 195.69/32.80  | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.80  | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | |   (203)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.80  | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.80  | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.80  | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.80  | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.80  | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.80  | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.80  | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.80  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.80  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.80  | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 195.69/32.80  | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | |   (204)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 195.69/32.80  | | | | | | | | | | | | | | | | | |   (205)  op(e3, e3) = e3
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (9), (10), (11), (12),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (13), (14), (16), (17), (18), (19), (20), (22),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (23), (24), (25), (26), (28), (29), (30), (32),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (35), (36), (38), (42), (43), (44), (45), (47),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (49), (50), (51), (52), (54), (55), (60), (61),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (62), (63), (65), (66), (67), (69), (70), (73),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (74), (75), (76), (77), (79), (80), (82), (83),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (84), (85), (86), (87), (88), (89), (90), (91),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (94), (100), (101), (102), (145), (205) are
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1038.
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | |   (206)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 195.69/32.80  | | | | | | | | | | | | | | | | | |   (207)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (84), (100), (141), (207) are inconsistent
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            by sub-proof #1028.
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.80  | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | |   (208)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.80  | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.80  | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.80  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.80  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.80  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.80  | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.80  | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.80  | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.80  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.80  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.80  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.80  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.80  | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 195.69/32.80  | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | |   (209)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 195.69/32.80  | | | | | | | | | | | | | | | | | |   (210)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (6), (17), (22), (25), (26), (38), (45),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (50), (52), (58), (66), (71), (73), (75), (77),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (83), (84), (87), (90), (91), (94), (100), (101),
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            (102), (112), (141), (145), (146), (210) are
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #672.
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | |   (211)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.80  | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.80  | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.80  | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 195.69/32.80  | | | | | | | | | | | | | | | | | |   (212)  op(e0, e0) = e0
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (84), (102), (212) are inconsistent by
% 195.69/32.80  | | | | | | | | | | | | | | | | | |            sub-proof #1947.
% 195.69/32.80  | | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | Case 2:
% 195.69/32.80  | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | |   (213)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.69/32.80  | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | | REF_CLOSE: (65), (86), (127), (139), (213) are inconsistent
% 195.69/32.80  | | | | | | | | | | | | | |            by sub-proof #1897.
% 195.69/32.80  | | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | Case 2:
% 195.69/32.80  | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | |   (214)  all_54_9 = e1 | all_54_9 = e0
% 195.69/32.80  | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | | REF_CLOSE: (8), (31), (87), (214) are inconsistent by
% 195.69/32.80  | | | | | | | | | |            sub-proof #1802.
% 195.69/32.80  | | | | | | | | | | 
% 195.69/32.80  | | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | | 
% 195.69/32.80  | | | | | | | | End of split
% 195.69/32.80  | | | | | | | | 
% 195.69/32.80  | | | | | | | End of split
% 195.69/32.80  | | | | | | | 
% 195.69/32.80  | | | | | | End of split
% 195.69/32.80  | | | | | | 
% 195.69/32.80  | | | | | Case 2:
% 195.69/32.80  | | | | | | 
% 195.69/32.80  | | | | | |   (215)  all_56_9 = e0 & op(e3, e0) = e0
% 195.69/32.80  | | | | | | 
% 195.69/32.80  | | | | | | REF_CLOSE: (48), (94), (215) are inconsistent by sub-proof #1875.
% 195.69/32.80  | | | | | | 
% 195.69/32.80  | | | | | End of split
% 195.69/32.80  | | | | | 
% 195.69/32.80  | | | | End of split
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | Case 2:
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | |   (216)  all_56_3 = e3 & op(e2, e2) = e3
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | | ALPHA: (216) implies:
% 195.69/32.80  | | | |   (217)  op(e2, e2) = e3
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | | REF_CLOSE: (17), (22), (101), (217) are inconsistent by sub-proof #1679.
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | End of split
% 195.69/32.80  | | | 
% 195.69/32.80  | | Case 2:
% 195.69/32.80  | | | 
% 195.69/32.80  | | |   (218)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2)
% 195.69/32.80  | | |            = e3)
% 195.69/32.80  | | | 
% 195.69/32.80  | | | BETA: splitting (218) gives:
% 195.69/32.80  | | | 
% 195.69/32.80  | | | Case 1:
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | |   (219)  all_56_7 = e3 & op(e1, e2) = e3
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | | ALPHA: (219) implies:
% 195.69/32.80  | | | |   (220)  op(e1, e2) = e3
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | | REF_CLOSE: (6), (17), (99), (220) are inconsistent by sub-proof #1408.
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | Case 2:
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | |   (221)  all_56_13 = e3 & op(e0, e2) = e3
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | | ALPHA: (221) implies:
% 195.69/32.80  | | | |   (222)  all_56_13 = e3
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | | REF_CLOSE: (11), (17), (30), (34), (39), (49), (72), (73), (84), (90),
% 195.69/32.80  | | | |            (94), (100), (101), (102), (222) are inconsistent by
% 195.69/32.80  | | | |            sub-proof #1113.
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | End of split
% 195.69/32.80  | | | 
% 195.69/32.80  | | End of split
% 195.69/32.80  | | 
% 195.69/32.80  | Case 2:
% 195.69/32.80  | | 
% 195.69/32.80  | |   (223)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.69/32.80  | | 
% 195.69/32.80  | | REF_CLOSE: (15), (40), (46), (75), (223) are inconsistent by sub-proof #670.
% 195.69/32.80  | | 
% 195.69/32.80  | End of split
% 195.69/32.80  | 
% 195.69/32.80  End of proof
% 195.69/32.80  
% 195.69/32.80  Sub-proof #670 shows that the following formulas are inconsistent:
% 195.69/32.80  ----------------------------------------------------------------
% 195.69/32.80    (1)   ~ (all_52_2 = e0)
% 195.69/32.80    (2)  all_54_8 = all_52_2
% 195.69/32.80    (3)   ~ (all_52_2 = e2)
% 195.69/32.80    (4)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.69/32.80    (5)   ~ (all_52_2 = e1)
% 195.69/32.80  
% 195.69/32.80  Begin of proof
% 195.69/32.80  | 
% 195.69/32.80  | BETA: splitting (4) gives:
% 195.69/32.80  | 
% 195.69/32.80  | Case 1:
% 195.69/32.80  | | 
% 195.69/32.80  | |   (6)  all_54_8 = e2
% 195.69/32.80  | | 
% 195.69/32.80  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #1258.
% 195.69/32.80  | | 
% 195.69/32.80  | Case 2:
% 195.69/32.80  | | 
% 195.69/32.80  | |   (7)  all_54_8 = e1 | all_54_8 = e0
% 195.69/32.80  | | 
% 195.69/32.80  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1365.
% 195.69/32.80  | | 
% 195.69/32.80  | End of split
% 195.69/32.80  | 
% 195.69/32.80  End of proof
% 195.69/32.80  
% 195.69/32.80  Sub-proof #671 shows that the following formulas are inconsistent:
% 195.69/32.80  ----------------------------------------------------------------
% 195.69/32.80    (1)  all_54_4 = all_52_1
% 195.69/32.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.80    (3)  op(e2, e0) = e0
% 195.69/32.80    (4)  op(e2, e0) = all_52_13
% 195.69/32.80    (5)   ~ (all_52_1 = e1)
% 195.69/32.80    (6)   ~ (all_52_1 = all_52_13)
% 195.69/32.80    (7)  all_54_4 = e1 | all_54_4 = e0
% 195.69/32.80  
% 195.69/32.80  Begin of proof
% 195.69/32.80  | 
% 195.69/32.80  | BETA: splitting (7) gives:
% 195.69/32.80  | 
% 195.69/32.80  | Case 1:
% 195.69/32.80  | | 
% 195.69/32.80  | |   (8)  all_54_4 = e1
% 195.69/32.80  | | 
% 195.69/32.80  | | COMBINE_EQS: (1), (8) imply:
% 195.69/32.80  | |   (9)  all_52_1 = e1
% 195.69/32.80  | | 
% 195.69/32.80  | | REDUCE: (5), (9) imply:
% 195.69/32.80  | |   (10)  $false
% 195.69/32.80  | | 
% 195.69/32.80  | | CLOSE: (10) is inconsistent.
% 195.69/32.80  | | 
% 195.69/32.80  | Case 2:
% 195.69/32.80  | | 
% 195.69/32.80  | |   (11)  all_54_4 = e0
% 195.69/32.80  | | 
% 195.69/32.80  | | COMBINE_EQS: (1), (11) imply:
% 195.69/32.80  | |   (12)  all_52_1 = e0
% 195.69/32.80  | | 
% 195.69/32.80  | | REDUCE: (6), (12) imply:
% 195.69/32.80  | |   (13)   ~ (all_52_13 = e0)
% 195.69/32.80  | | 
% 195.69/32.80  | | SIMP: (13) implies:
% 195.69/32.80  | |   (14)   ~ (all_52_13 = e0)
% 195.69/32.80  | | 
% 195.69/32.80  | | REF_CLOSE: (2), (3), (4), (14) are inconsistent by sub-proof #1173.
% 195.69/32.80  | | 
% 195.69/32.80  | End of split
% 195.69/32.80  | 
% 195.69/32.80  End of proof
% 195.69/32.80  
% 195.69/32.80  Sub-proof #672 shows that the following formulas are inconsistent:
% 195.69/32.80  ----------------------------------------------------------------
% 195.69/32.80    (1)  op(e1, e1) = e1
% 195.69/32.80    (2)  op(e1, e3) = all_52_2
% 195.69/32.80    (3)  op(e1, e2) = all_52_6
% 195.69/32.80    (4)   ~ (e3 = e2)
% 195.69/32.80    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.80    (6)  op(e2, e2) = e1
% 195.69/32.80    (7)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.69/32.80         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.80    (8)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.80         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.80    (9)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.69/32.80           all_57_8 & $i(all_57_8))
% 195.69/32.80    (10)   ~ (all_52_8 = e3)
% 195.69/32.80    (11)  op(e1, e0) = all_52_14
% 195.69/32.80    (12)  op(e0, e2) = e0
% 195.69/32.80    (13)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.80              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.80            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.80            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.80            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.80            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.80            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.80            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.80            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.69/32.80            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.80            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.80            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.69/32.80            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.80            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.80            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.80            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.80            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.80            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.69/32.80            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.80            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.80            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.69/32.80            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.80            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.80            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.69/32.80            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.80            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.80            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.80            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.80            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.80            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.69/32.80            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.69/32.80            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.69/32.80            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.80            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.80            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.80            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.80            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.80            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.80            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.80            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.80            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.80            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.69/32.80            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.80            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.80            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.80            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.80            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.80            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.80              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.80            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.80            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.80              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.80            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.80            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.69/32.80                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.80                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.80                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.80                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.80                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.80                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.80                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.80              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.80                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.80                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.80                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.80                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.80                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.80                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.80                $i(all_57_7))))
% 195.69/32.80    (14)   ~ (all_52_12 = e3)
% 195.69/32.80    (15)   ~ (all_52_14 = e1)
% 195.69/32.80    (16)  op(e3, e2) = e3
% 195.69/32.80    (17)  op(e3, e3) = e2
% 195.69/32.80    (18)   ~ (e1 = e0)
% 195.69/32.80    (19)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.69/32.80          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.69/32.80    (20)   ~ (all_52_1 = e2)
% 195.69/32.80    (21)   ~ (e2 = e1)
% 195.69/32.80    (22)   ~ (all_52_2 = e1)
% 195.69/32.80    (23)  op(e3, e0) = all_52_12
% 195.69/32.80    (24)  all_56_4 = e0
% 195.69/32.80    (25)  op(e3, e1) = all_52_8
% 195.69/32.80    (26)  op(e0, e0) = e3
% 195.69/32.80    (27)   ~ (e3 = e1)
% 195.69/32.80    (28)   ~ (all_52_6 = e1)
% 195.69/32.80    (29)   ~ (e2 = e0)
% 195.69/32.80    (30)  op(e2, e3) = all_52_1
% 195.69/32.80    (31)   ~ (e3 = e0)
% 195.69/32.80  
% 195.69/32.80  Begin of proof
% 195.69/32.80  | 
% 195.69/32.80  | BETA: splitting (13) gives:
% 195.69/32.80  | 
% 195.69/32.80  | Case 1:
% 195.69/32.80  | | 
% 195.69/32.80  | |   (32)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 195.69/32.80  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.80  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 195.69/32.80  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 195.69/32.80  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.69/32.80  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 195.69/32.80  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 195.69/32.80  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 195.69/32.80  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.69/32.80  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 195.69/32.80  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.69/32.80  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 195.69/32.80  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 195.69/32.80  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.69/32.80  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.69/32.80  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 195.69/32.80  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.69/32.80  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 195.69/32.80  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 195.69/32.80  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 195.69/32.80  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.69/32.80  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.69/32.80  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.69/32.80  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.69/32.80  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.69/32.80  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.69/32.80  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.80  | | 
% 195.69/32.80  | | BETA: splitting (32) gives:
% 195.69/32.80  | | 
% 195.69/32.80  | | Case 1:
% 195.69/32.80  | | | 
% 195.69/32.80  | | |   (33)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.80  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.69/32.80  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.69/32.80  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 195.69/32.80  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.69/32.80  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.80  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 195.69/32.80  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.80  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.80  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 195.69/32.80  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.80  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 195.69/32.80  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.69/32.80  | | | 
% 195.69/32.80  | | | BETA: splitting (33) gives:
% 195.69/32.80  | | | 
% 195.69/32.80  | | | Case 1:
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | |   (34)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.80  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.69/32.80  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.69/32.80  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.69/32.80  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.80  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.69/32.80  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | | REF_CLOSE: (5), (20), (30), (34) are inconsistent by sub-proof #1784.
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | Case 2:
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | |   (35)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.80  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.69/32.80  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.80  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.69/32.80  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.80  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.69/32.80  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | | REF_CLOSE: (2), (5), (6), (22), (27), (35) are inconsistent by sub-proof
% 195.69/32.80  | | | |            #1678.
% 195.69/32.80  | | | | 
% 195.69/32.80  | | | End of split
% 195.69/32.80  | | | 
% 195.69/32.80  | | Case 2:
% 195.69/32.80  | | | 
% 195.69/32.80  | | |   (36)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.80  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.80  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.80  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 195.69/32.80  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 195.69/32.80  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.80  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.69/32.80  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.69/32.80  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.69/32.80  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 195.69/32.80  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 195.69/32.80  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 195.69/32.80  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 195.69/32.80  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.80  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.80  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.80  | | | 
% 195.69/32.80  | | | REF_CLOSE: (1), (3), (5), (10), (12), (21), (25), (28), (36) are
% 195.69/32.80  | | |            inconsistent by sub-proof #673.
% 195.69/32.80  | | | 
% 195.69/32.80  | | End of split
% 195.69/32.80  | | 
% 195.69/32.80  | Case 2:
% 195.69/32.80  | | 
% 195.69/32.80  | |   (37)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 195.69/32.80  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.80  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 195.69/32.80  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 195.69/32.80  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.69/32.80  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 195.69/32.80  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 195.69/32.80  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.69/32.80  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.69/32.80  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.80  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.80  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.80  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 195.69/32.80  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 195.69/32.80  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.80  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.69/32.80  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.69/32.80  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 195.69/32.80  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.80  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.69/32.80  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 195.69/32.80  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 195.69/32.80  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 195.69/32.80  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.80  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 195.69/32.80  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.80  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 195.69/32.80  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.69/32.80  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.80  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.69/32.80  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 195.69/32.80  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.69/32.80  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.80  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.80  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.80  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 195.69/32.80  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 195.69/32.80  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.80  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.80  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.80  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.69/32.80  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.80  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.80  | |               $i(all_57_7))))
% 195.69/32.80  | | 
% 195.69/32.80  | | BETA: splitting (37) gives:
% 195.69/32.80  | | 
% 195.69/32.80  | | Case 1:
% 195.69/32.80  | | | 
% 195.69/32.80  | | |   (38)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.80  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.80  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.80  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.80  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.80  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.80  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 195.69/32.80  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.69/32.80  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 195.69/32.80  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 195.69/32.80  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.69/32.80  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.69/32.80  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 195.69/32.80  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.80  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.80  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.80  | | |           $i(all_57_13))
% 195.69/32.80  | | | 
% 195.69/32.80  | | | BETA: splitting (38) gives:
% 195.69/32.80  | | | 
% 195.69/32.80  | | | Case 1:
% 195.69/32.80  | | | | 
% 195.69/32.81  | | | |   (39)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.81  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.81  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.81  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.69/32.81  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.69/32.81  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.69/32.81  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | | REF_CLOSE: (5), (17), (21), (26), (27), (39) are inconsistent by
% 195.69/32.81  | | | |            sub-proof #676.
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | Case 2:
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | |   (40)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.81  | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.81  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.81  | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 195.69/32.81  | | | |           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.69/32.81  | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 195.69/32.81  | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.69/32.81  | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.81  | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 195.69/32.81  | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | | REF_CLOSE: (5), (14), (23), (26), (27), (40) are inconsistent by
% 195.69/32.81  | | | |            sub-proof #1189.
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | End of split
% 195.69/32.81  | | | 
% 195.69/32.81  | | Case 2:
% 195.69/32.81  | | | 
% 195.69/32.81  | | |   (41)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.81  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.81  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.81  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.81  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.69/32.81  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.81  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 195.69/32.81  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.81  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 195.69/32.81  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.69/32.81  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.69/32.81  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.69/32.81  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.69/32.81  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.81  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.81  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.81  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.81  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.69/32.81  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 195.69/32.81  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.81  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.69/32.81  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.81  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 195.69/32.81  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.81  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.81  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.69/32.81  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.81  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.81  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.69/32.81  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.81  | | | 
% 195.69/32.81  | | | BETA: splitting (41) gives:
% 195.69/32.81  | | | 
% 195.69/32.81  | | | Case 1:
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | |   (42)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.81  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.81  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.81  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.69/32.81  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.69/32.81  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.69/32.81  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | | REF_CLOSE: (5), (17), (29), (42) are inconsistent by sub-proof #819.
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | Case 2:
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | |   (43)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.69/32.81  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.81  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.81  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 195.69/32.81  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.81  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.69/32.81  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 195.69/32.81  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 195.69/32.81  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.81  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.81  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.81  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.69/32.81  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.81  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.81  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.69/32.81  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.81  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.81  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.69/32.81  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.81  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.69/32.81  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.69/32.81  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.81  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.69/32.81  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | | BETA: splitting (43) gives:
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | | Case 1:
% 195.69/32.81  | | | | | 
% 195.69/32.81  | | | | |   (44)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.69/32.81  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.81  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.81  | | | | |         $i(all_57_13)
% 195.69/32.81  | | | | | 
% 195.69/32.81  | | | | | ALPHA: (44) implies:
% 195.69/32.81  | | | | |   (45)  op(e1, e1) = e0
% 195.69/32.81  | | | | | 
% 195.69/32.81  | | | | | REF_CLOSE: (4), (5), (7), (8), (18), (19), (21), (24), (27), (29),
% 195.69/32.81  | | | | |            (31), (45) are inconsistent by sub-proof #1809.
% 195.69/32.81  | | | | | 
% 195.69/32.81  | | | | Case 2:
% 195.69/32.81  | | | | | 
% 195.69/32.81  | | | | |   (46)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.81  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.81  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.81  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.81  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.81  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.69/32.81  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.69/32.81  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.81  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.81  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.81  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.69/32.81  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.81  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.69/32.81  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.81  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.81  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.81  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.69/32.81  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.81  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.81  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.69/32.81  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.81  | | | | |               $i(all_57_7))))
% 195.69/32.81  | | | | | 
% 195.69/32.81  | | | | | BETA: splitting (46) gives:
% 195.69/32.81  | | | | | 
% 195.69/32.81  | | | | | Case 1:
% 195.69/32.81  | | | | | | 
% 195.69/32.81  | | | | | |   (47)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.81  | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.81  | | | | | |         & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.81  | | | | | |         $i(all_57_14)
% 195.69/32.81  | | | | | | 
% 195.69/32.81  | | | | | | ALPHA: (47) implies:
% 195.69/32.81  | | | | | |   (48)  op(e1, e0) = e1
% 195.69/32.81  | | | | | | 
% 195.69/32.81  | | | | | | REF_CLOSE: (5), (11), (15), (48) are inconsistent by sub-proof
% 195.69/32.81  | | | | | |            #1958.
% 195.69/32.81  | | | | | | 
% 195.69/32.81  | | | | | Case 2:
% 195.69/32.81  | | | | | | 
% 195.69/32.81  | | | | | |   (49)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.81  | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.69/32.81  | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 195.69/32.81  | | | | | |               e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.69/32.81  | | | | | |             = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 195.69/32.81  | | | | | |               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.81  | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.81  | | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.81  | | | | | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.81  | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.69/32.81  | | | | | |             (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.81  | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.81  | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.81  | | | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.69/32.81  | | | | | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.81  | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.81  | | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.69/32.81  | | | | | |             & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.81  | | | | | |             $i(all_57_7)))
% 195.69/32.81  | | | | | | 
% 195.69/32.81  | | | | | | ALPHA: (49) implies:
% 195.69/32.81  | | | | | |   (50)  op(e0, e0) = all_57_15
% 195.69/32.81  | | | | | |   (51)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.81  | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 195.69/32.81  | | | | | |           & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.69/32.81  | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.69/32.81  | | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 195.69/32.81  | | | | | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.81  | | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.69/32.81  | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.81  | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.81  | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.69/32.81  | | | | | |           & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.81  | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.69/32.81  | | | | | |           & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.69/32.81  | | | | | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.81  | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.69/32.81  | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.69/32.81  | | | | | | 
% 195.69/32.81  | | | | | | BETA: splitting (51) gives:
% 195.69/32.81  | | | | | | 
% 195.69/32.81  | | | | | | Case 1:
% 195.69/32.81  | | | | | | | 
% 195.69/32.81  | | | | | | |   (52)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.81  | | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.69/32.81  | | | | | | |           e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.69/32.81  | | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.81  | | | | | | |             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.81  | | | | | | |             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.81  | | | | | | |           = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.69/32.81  | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.81  | | | | | | |           $i(all_57_3))
% 195.69/32.81  | | | | | | | 
% 195.69/32.81  | | | | | | | REF_CLOSE: (5), (6), (16), (26), (27), (50), (52) are inconsistent
% 195.69/32.81  | | | | | | |            by sub-proof #1186.
% 195.69/32.81  | | | | | | | 
% 195.69/32.81  | | | | | | Case 2:
% 195.69/32.81  | | | | | | | 
% 195.69/32.81  | | | | | | |   (53)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.81  | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.81  | | | | | | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.81  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.69/32.81  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.69/32.81  | | | | | | |             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.81  | | | | | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 195.69/32.81  | | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.81  | | | | | | |           $i(all_57_7))
% 195.69/32.81  | | | | | | | 
% 195.69/32.81  | | | | | | | BETA: splitting (53) gives:
% 195.69/32.81  | | | | | | | 
% 195.69/32.81  | | | | | | | Case 1:
% 195.69/32.81  | | | | | | | | 
% 195.69/32.81  | | | | | | | |   (54)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.81  | | | | | | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.81  | | | | | | | |         e2 & op(e0, e2) = e0 & $i(all_57_4)
% 195.69/32.81  | | | | | | | | 
% 195.69/32.81  | | | | | | | | ALPHA: (54) implies:
% 195.69/32.81  | | | | | | | |   (55)  op(e1, e1) = e2
% 195.69/32.81  | | | | | | | | 
% 195.69/32.81  | | | | | | | | REF_CLOSE: (1), (5), (21), (55) are inconsistent by sub-proof
% 195.69/32.81  | | | | | | | |            #1955.
% 195.69/32.81  | | | | | | | | 
% 195.69/32.81  | | | | | | | Case 2:
% 195.69/32.81  | | | | | | | | 
% 195.69/32.81  | | | | | | | |   (56)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 195.69/32.81  | | | | | | | |           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.81  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 195.69/32.81  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.81  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.81  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.69/32.81  | | | | | | | | 
% 195.69/32.81  | | | | | | | | BETA: splitting (56) gives:
% 195.69/32.81  | | | | | | | | 
% 195.69/32.81  | | | | | | | | Case 1:
% 195.69/32.81  | | | | | | | | | 
% 195.69/32.81  | | | | | | | | |   (57)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 195.69/32.81  | | | | | | | | |         ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.81  | | | | | | | | |         all_57_6 & op(e0, e1) = e0 & $i(all_57_6)
% 195.69/32.81  | | | | | | | | | 
% 195.69/32.81  | | | | | | | | | ALPHA: (57) implies:
% 195.69/32.81  | | | | | | | | |   (58)  all_57_8 = e0
% 195.69/32.81  | | | | | | | | | 
% 195.69/32.81  | | | | | | | | | REF_CLOSE: (5), (9), (26), (27), (58) are inconsistent by
% 195.69/32.81  | | | | | | | | |            sub-proof #1184.
% 195.69/32.81  | | | | | | | | | 
% 195.69/32.81  | | | | | | | | Case 2:
% 195.69/32.81  | | | | | | | | | 
% 195.69/32.81  | | | | | | | | |   (59)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 195.69/32.81  | | | | | | | | |         ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.81  | | | | | | | | |         all_57_7 & op(e0, e1) = e0 & $i(all_57_7)
% 195.69/32.81  | | | | | | | | | 
% 195.69/32.81  | | | | | | | | | ALPHA: (59) implies:
% 195.69/32.81  | | | | | | | | |   (60)  all_57_8 = e0
% 195.69/32.81  | | | | | | | | | 
% 195.69/32.81  | | | | | | | | | REF_CLOSE: (5), (9), (26), (27), (60) are inconsistent by
% 195.69/32.81  | | | | | | | | |            sub-proof #1184.
% 195.69/32.81  | | | | | | | | | 
% 195.69/32.81  | | | | | | | | End of split
% 195.69/32.81  | | | | | | | | 
% 195.69/32.81  | | | | | | | End of split
% 195.69/32.81  | | | | | | | 
% 195.69/32.81  | | | | | | End of split
% 195.69/32.81  | | | | | | 
% 195.69/32.81  | | | | | End of split
% 195.69/32.81  | | | | | 
% 195.69/32.81  | | | | End of split
% 195.69/32.81  | | | | 
% 195.69/32.81  | | | End of split
% 195.69/32.81  | | | 
% 195.69/32.81  | | End of split
% 195.69/32.81  | | 
% 195.69/32.81  | End of split
% 195.69/32.81  | 
% 195.69/32.81  End of proof
% 195.69/32.81  
% 195.69/32.81  Sub-proof #673 shows that the following formulas are inconsistent:
% 195.69/32.81  ----------------------------------------------------------------
% 195.69/32.81    (1)  op(e1, e1) = e1
% 195.69/32.81    (2)  op(e1, e2) = all_52_6
% 195.69/32.81    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.81    (4)   ~ (all_52_8 = e3)
% 195.69/32.81    (5)  op(e0, e2) = e0
% 195.69/32.81    (6)   ~ (e2 = e1)
% 195.69/32.81    (7)  op(e3, e1) = all_52_8
% 195.69/32.81    (8)   ~ (all_52_6 = e1)
% 195.69/32.81    (9)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 195.69/32.81             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.69/32.81           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 195.69/32.81           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.69/32.81           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 195.69/32.81           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.69/32.81           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3)
% 195.69/32.81           = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.69/32.81           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 195.69/32.81           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 195.69/32.81           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.81           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 195.69/32.81            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 195.69/32.81             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.81  
% 195.69/32.81  Begin of proof
% 195.69/32.81  | 
% 195.69/32.81  | BETA: splitting (9) gives:
% 195.69/32.81  | 
% 195.69/32.81  | Case 1:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (10)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 195.69/32.81  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.69/32.81  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.69/32.81  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 195.69/32.81  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.69/32.81  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 195.69/32.81  | | 
% 195.69/32.81  | | BETA: splitting (10) gives:
% 195.69/32.81  | | 
% 195.69/32.81  | | Case 1:
% 195.69/32.81  | | | 
% 195.69/32.81  | | |   (11)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.81  | | |         (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.81  | | |         op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.81  | | |         $i(all_57_10)
% 195.69/32.81  | | | 
% 195.69/32.81  | | | ALPHA: (11) implies:
% 195.69/32.81  | | |   (12)  op(e1, e1) = e2
% 195.69/32.81  | | | 
% 195.69/32.81  | | | REF_CLOSE: (1), (3), (6), (12) are inconsistent by sub-proof #1955.
% 195.69/32.81  | | | 
% 195.69/32.81  | | Case 2:
% 195.69/32.81  | | | 
% 195.69/32.81  | | |   (13)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.69/32.81  | | |         (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.81  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.81  | | |         $i(all_57_10)
% 195.69/32.81  | | | 
% 195.69/32.81  | | | ALPHA: (13) implies:
% 195.69/32.81  | | |   (14)   ~ (all_57_5 = e0)
% 195.69/32.81  | | |   (15)  op(e0, e2) = all_57_5
% 195.69/32.81  | | | 
% 195.69/32.81  | | | REF_CLOSE: (3), (5), (14), (15) are inconsistent by sub-proof #1589.
% 195.69/32.81  | | | 
% 195.69/32.81  | | End of split
% 195.69/32.81  | | 
% 195.69/32.81  | Case 2:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (16)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 195.69/32.81  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 195.69/32.81  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.69/32.81  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.69/32.81  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.69/32.81  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.69/32.81  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.69/32.81  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.69/32.81  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.81  | | 
% 195.69/32.81  | | REF_CLOSE: (2), (3), (4), (7), (8), (16) are inconsistent by sub-proof
% 195.69/32.81  | |            #1677.
% 195.69/32.81  | | 
% 195.69/32.81  | End of split
% 195.69/32.81  | 
% 195.69/32.81  End of proof
% 195.69/32.81  
% 195.69/32.81  Sub-proof #674 shows that the following formulas are inconsistent:
% 195.69/32.81  ----------------------------------------------------------------
% 195.69/32.81    (1)   ~ (e3 = e2)
% 195.69/32.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.81    (3)  op(e2, e2) = e1
% 195.69/32.81    (4)  op(e0, e2) = e0
% 195.69/32.81    (5)  op(e0, e0) = e3
% 195.69/32.81    (6)   ~ (e3 = e1)
% 195.69/32.81    (7)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.69/32.81           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.69/32.81           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.69/32.81                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.69/32.81               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.81               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.81           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.69/32.81           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.81               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.69/32.81           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.69/32.81               = all_57_2 & $i(all_57_2))))
% 195.69/32.81  
% 195.69/32.81  Begin of proof
% 195.69/32.81  | 
% 195.69/32.81  | BETA: splitting (7) gives:
% 195.69/32.81  | 
% 195.69/32.81  | Case 1:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (8)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.69/32.81  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.69/32.81  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.69/32.81  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 195.69/32.81  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 195.69/32.81  | |            & $i(all_57_5)))
% 195.69/32.81  | | 
% 195.69/32.81  | | ALPHA: (8) implies:
% 195.69/32.81  | |   (9)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 195.69/32.81  | |          = all_57_5 & $i(all_57_5))
% 195.69/32.81  | | 
% 195.69/32.81  | | REF_CLOSE: (1), (2), (4), (5), (9) are inconsistent by sub-proof #1028.
% 195.69/32.81  | | 
% 195.69/32.81  | Case 2:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (10)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 195.69/32.81  | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.81  | |         $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 195.69/32.81  | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 195.69/32.81  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.69/32.81  | |             all_57_2 & $i(all_57_2)))
% 195.69/32.81  | | 
% 195.69/32.81  | | ALPHA: (10) implies:
% 195.69/32.81  | |   (11)  op(e2, e2) = e3
% 195.69/32.81  | | 
% 195.69/32.81  | | REF_CLOSE: (2), (3), (6), (11) are inconsistent by sub-proof #1679.
% 195.69/32.81  | | 
% 195.69/32.81  | End of split
% 195.69/32.81  | 
% 195.69/32.81  End of proof
% 195.69/32.81  
% 195.69/32.81  Sub-proof #675 shows that the following formulas are inconsistent:
% 195.69/32.81  ----------------------------------------------------------------
% 195.69/32.81    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.81    (2)  op(e3, e1) = all_57_6
% 195.69/32.81    (3)  op(e3, e1) = e3
% 195.69/32.81    (4)   ~ (all_57_6 = e3)
% 195.69/32.81  
% 195.69/32.81  Begin of proof
% 195.69/32.81  | 
% 195.69/32.81  | GROUND_INST: instantiating (1) with e3, all_57_6, e1, e3, simplifying with
% 195.69/32.81  |              (2), (3) gives:
% 195.69/32.81  |   (5)  all_57_6 = e3
% 195.69/32.81  | 
% 195.69/32.81  | REDUCE: (4), (5) imply:
% 195.69/32.81  |   (6)  $false
% 195.69/32.81  | 
% 195.69/32.81  | CLOSE: (6) is inconsistent.
% 195.69/32.81  | 
% 195.69/32.81  End of proof
% 195.69/32.81  
% 195.69/32.81  Sub-proof #676 shows that the following formulas are inconsistent:
% 195.69/32.81  ----------------------------------------------------------------
% 195.69/32.81    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.81    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.69/32.81             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.81           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 195.69/32.81           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.69/32.81           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.69/32.81           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 195.69/32.81    (3)  op(e3, e3) = e2
% 195.69/32.81    (4)   ~ (e2 = e1)
% 195.69/32.81    (5)  op(e0, e0) = e3
% 195.69/32.81    (6)   ~ (e3 = e1)
% 195.69/32.81  
% 195.69/32.81  Begin of proof
% 195.69/32.81  | 
% 195.69/32.81  | BETA: splitting (2) gives:
% 195.69/32.81  | 
% 195.69/32.81  | Case 1:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.69/32.81  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.81  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 195.69/32.81  | | 
% 195.69/32.81  | | ALPHA: (7) implies:
% 195.69/32.81  | |   (8)  op(e0, e0) = e1
% 195.69/32.81  | | 
% 195.69/32.81  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1392.
% 195.69/32.81  | | 
% 195.69/32.81  | Case 2:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 195.69/32.81  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.69/32.81  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 195.69/32.81  | | 
% 195.69/32.81  | | ALPHA: (9) implies:
% 195.69/32.81  | |   (10)  op(e3, e3) = e1
% 195.69/32.81  | | 
% 195.69/32.81  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1934.
% 195.69/32.81  | | 
% 195.69/32.81  | End of split
% 195.69/32.81  | 
% 195.69/32.81  End of proof
% 195.69/32.81  
% 195.69/32.81  Sub-proof #677 shows that the following formulas are inconsistent:
% 195.69/32.81  ----------------------------------------------------------------
% 195.69/32.81    (1)  all_54_4 = all_52_1
% 195.69/32.81    (2)   ~ (all_52_1 = e0)
% 195.69/32.81    (3)   ~ (all_52_1 = all_52_9)
% 195.69/32.81    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.81    (5)  all_56_5 = e3 & op(e2, e1) = e3
% 195.69/32.81    (6)   ~ (all_52_1 = e1)
% 195.69/32.81    (7)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.81    (8)   ~ (all_52_1 = e2)
% 195.69/32.81    (9)  op(e2, e1) = all_52_9
% 195.69/32.81  
% 195.69/32.81  Begin of proof
% 195.69/32.81  | 
% 195.69/32.81  | ALPHA: (5) implies:
% 195.69/32.81  |   (10)  op(e2, e1) = e3
% 195.69/32.81  | 
% 195.69/32.81  | BETA: splitting (7) gives:
% 195.69/32.81  | 
% 195.69/32.81  | Case 1:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (11)  all_54_4 = e3
% 195.69/32.81  | | 
% 195.69/32.81  | | COMBINE_EQS: (1), (11) imply:
% 195.69/32.81  | |   (12)  all_52_1 = e3
% 195.69/32.81  | | 
% 195.69/32.81  | | SIMP: (12) implies:
% 195.69/32.81  | |   (13)  all_52_1 = e3
% 195.69/32.81  | | 
% 195.69/32.81  | | REDUCE: (3), (13) imply:
% 195.69/32.81  | |   (14)   ~ (all_52_9 = e3)
% 195.69/32.81  | | 
% 195.69/32.81  | | SIMP: (14) implies:
% 195.69/32.81  | |   (15)   ~ (all_52_9 = e3)
% 195.69/32.81  | | 
% 195.69/32.81  | | REF_CLOSE: (4), (9), (10), (15) are inconsistent by sub-proof #1758.
% 195.69/32.81  | | 
% 195.69/32.81  | Case 2:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (16)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.81  | | 
% 195.69/32.81  | | REF_CLOSE: (1), (2), (6), (8), (16) are inconsistent by sub-proof #1829.
% 195.69/32.81  | | 
% 195.69/32.81  | End of split
% 195.69/32.81  | 
% 195.69/32.81  End of proof
% 195.69/32.81  
% 195.69/32.81  Sub-proof #678 shows that the following formulas are inconsistent:
% 195.69/32.81  ----------------------------------------------------------------
% 195.69/32.81    (1)  op(e1, e0) = e0
% 195.69/32.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.81    (3)  op(e1, e0) = all_52_14
% 195.69/32.81    (4)  all_54_8 = all_52_2
% 195.69/32.81    (5)   ~ (all_52_2 = all_52_14)
% 195.69/32.81    (6)   ~ (all_52_2 = e2)
% 195.69/32.81    (7)   ~ (all_52_2 = e3)
% 195.69/32.81    (8)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.69/32.81    (9)   ~ (all_52_2 = e1)
% 195.69/32.81  
% 195.69/32.81  Begin of proof
% 195.69/32.81  | 
% 195.69/32.81  | BETA: splitting (8) gives:
% 195.69/32.81  | 
% 195.69/32.81  | Case 1:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (10)  all_54_8 = e3
% 195.69/32.81  | | 
% 195.69/32.81  | | REF_CLOSE: (4), (7), (10) are inconsistent by sub-proof #1162.
% 195.69/32.81  | | 
% 195.69/32.81  | Case 2:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (11)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.69/32.81  | | 
% 195.69/32.81  | | BETA: splitting (11) gives:
% 195.69/32.81  | | 
% 195.69/32.81  | | Case 1:
% 195.69/32.81  | | | 
% 195.69/32.81  | | |   (12)  all_54_8 = e2
% 195.69/32.81  | | | 
% 195.69/32.81  | | | REF_CLOSE: (4), (6), (12) are inconsistent by sub-proof #1258.
% 195.69/32.81  | | | 
% 195.69/32.81  | | Case 2:
% 195.69/32.81  | | | 
% 195.69/32.81  | | |   (13)  all_54_8 = e1 | all_54_8 = e0
% 195.69/32.81  | | | 
% 195.69/32.81  | | | REF_CLOSE: (1), (2), (3), (4), (5), (9), (13) are inconsistent by
% 195.69/32.81  | | |            sub-proof #1257.
% 195.69/32.81  | | | 
% 195.69/32.81  | | End of split
% 195.69/32.81  | | 
% 195.69/32.81  | End of split
% 195.69/32.81  | 
% 195.69/32.81  End of proof
% 195.69/32.81  
% 195.69/32.81  Sub-proof #679 shows that the following formulas are inconsistent:
% 195.69/32.81  ----------------------------------------------------------------
% 195.69/32.81    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.69/32.81         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.69/32.81    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.69/32.81         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.69/32.81    (3)   ~ (e3 = e2)
% 195.69/32.81    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.81    (5)  op(e1, e2) = e2
% 195.69/32.81    (6)   ~ (all_52_14 = e3)
% 195.69/32.81    (7)  op(e1, e0) = all_52_14
% 195.69/32.81    (8)  op(e1, e1) = e0
% 195.69/32.81    (9)  op(e3, e3) = e2
% 195.69/32.81    (10)  all_56_0 = e2
% 195.69/32.81    (11)  all_56_2 = e3
% 195.69/32.81    (12)   ~ (e1 = e0)
% 195.69/32.81    (13)   ~ (e2 = e1)
% 195.69/32.81    (14)   ~ (e3 = e1)
% 195.69/32.81    (15)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.81          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.81    (16)   ~ (e2 = e0)
% 195.69/32.81    (17)   ~ (e3 = e0)
% 195.69/32.81  
% 195.69/32.81  Begin of proof
% 195.69/32.81  | 
% 195.69/32.81  | BETA: splitting (15) gives:
% 195.69/32.81  | 
% 195.69/32.81  | Case 1:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 195.69/32.81  | |           e3)
% 195.69/32.81  | | 
% 195.69/32.81  | | BETA: splitting (18) gives:
% 195.69/32.81  | | 
% 195.69/32.81  | | Case 1:
% 195.69/32.81  | | | 
% 195.69/32.81  | | |   (19)  all_56_6 = e3 & op(e1, e3) = e3
% 195.69/32.81  | | | 
% 195.69/32.81  | | | ALPHA: (19) implies:
% 195.69/32.81  | | |   (20)  all_56_6 = e3
% 195.69/32.81  | | | 
% 195.69/32.81  | | | REF_CLOSE: (1), (2), (4), (9), (10), (11), (12), (13), (14), (16), (17),
% 195.69/32.81  | | |            (20) are inconsistent by sub-proof #1460.
% 195.69/32.81  | | | 
% 195.69/32.81  | | Case 2:
% 195.69/32.81  | | | 
% 195.69/32.81  | | |   (21)  all_56_7 = e3 & op(e1, e2) = e3
% 195.69/32.81  | | | 
% 195.69/32.81  | | | ALPHA: (21) implies:
% 195.69/32.81  | | |   (22)  op(e1, e2) = e3
% 195.69/32.81  | | | 
% 195.69/32.81  | | | REF_CLOSE: (3), (4), (5), (22) are inconsistent by sub-proof #823.
% 195.69/32.81  | | | 
% 195.69/32.81  | | End of split
% 195.69/32.81  | | 
% 195.69/32.81  | Case 2:
% 195.69/32.81  | | 
% 195.69/32.81  | |   (23)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 195.69/32.81  | |           e3)
% 195.69/32.81  | | 
% 195.69/32.81  | | REF_CLOSE: (4), (6), (7), (8), (17), (23) are inconsistent by sub-proof
% 195.69/32.81  | |            #1406.
% 195.69/32.81  | | 
% 195.69/32.81  | End of split
% 195.69/32.81  | 
% 195.69/32.81  End of proof
% 195.69/32.81  
% 195.69/32.81  Sub-proof #680 shows that the following formulas are inconsistent:
% 195.69/32.81  ----------------------------------------------------------------
% 195.69/32.81    (1)   ~ (all_14_2 = e1)
% 195.69/32.82    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (3)   ~ (all_52_3 = all_14_2)
% 195.69/32.82    (4)  op(e2, e2) = e1
% 195.69/32.82    (5)  op(e0, e3) = all_52_3
% 195.69/32.82    (6)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.69/32.82             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.82           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.69/32.82           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.82             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.82           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.82           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.82           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.69/32.82           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.82           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.69/32.82           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.82         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.82             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.82           $i(all_57_7))
% 195.69/32.82    (7)  op(e0, e1) = all_52_11
% 195.69/32.82    (8)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 195.69/32.82    (9)   ~ (all_14_2 = e2)
% 195.69/32.82    (10)  op(e3, e3) = e2
% 195.69/32.82    (11)  all_54_15 = all_14_2
% 195.69/32.82    (12)   ~ (all_52_11 = all_14_2)
% 195.69/32.82    (13)   ~ (all_52_7 = all_14_2)
% 195.69/32.82    (14)   ~ (e2 = e1)
% 195.69/32.82    (15)   ~ (e3 = e1)
% 195.69/32.82    (16)  op(e0, e2) = all_52_7
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (8) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (17)  all_54_15 = e2
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (9), (11), (17) are inconsistent by sub-proof #1648.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (18)  all_54_15 = e1 | all_54_15 = e0
% 195.69/32.82  | | 
% 195.69/32.82  | | BETA: splitting (18) gives:
% 195.69/32.82  | | 
% 195.69/32.82  | | Case 1:
% 195.69/32.82  | | | 
% 195.69/32.82  | | |   (19)  all_54_15 = e1
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REF_CLOSE: (1), (11), (19) are inconsistent by sub-proof #1660.
% 195.69/32.82  | | | 
% 195.69/32.82  | | Case 2:
% 195.69/32.82  | | | 
% 195.69/32.82  | | |   (20)  all_54_15 = e0
% 195.69/32.82  | | | 
% 195.69/32.82  | | | COMBINE_EQS: (11), (20) imply:
% 195.69/32.82  | | |   (21)  all_14_2 = e0
% 195.69/32.82  | | | 
% 195.69/32.82  | | | SIMP: (21) implies:
% 195.69/32.82  | | |   (22)  all_14_2 = e0
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REDUCE: (3), (22) imply:
% 195.69/32.82  | | |   (23)   ~ (all_52_3 = e0)
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REDUCE: (13), (22) imply:
% 195.69/32.82  | | |   (24)   ~ (all_52_7 = e0)
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REDUCE: (12), (22) imply:
% 195.69/32.82  | | |   (25)   ~ (all_52_11 = e0)
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REF_CLOSE: (2), (4), (5), (6), (7), (10), (14), (15), (16), (23), (24),
% 195.69/32.82  | | |            (25) are inconsistent by sub-proof #681.
% 195.69/32.82  | | | 
% 195.69/32.82  | | End of split
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #681 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)   ~ (all_52_7 = e0)
% 195.69/32.82    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (3)  op(e2, e2) = e1
% 195.69/32.82    (4)  op(e0, e3) = all_52_3
% 195.69/32.82    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.69/32.82             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.82           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.69/32.82           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.69/32.82             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.82           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.82           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.82           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.69/32.82           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.82           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.69/32.82           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.82         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.82             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.82           $i(all_57_7))
% 195.69/32.82    (6)  op(e0, e1) = all_52_11
% 195.69/32.82    (7)  op(e3, e3) = e2
% 195.69/32.82    (8)   ~ (e2 = e1)
% 195.69/32.82    (9)   ~ (all_52_11 = e0)
% 195.69/32.82    (10)   ~ (all_52_3 = e0)
% 195.69/32.82    (11)   ~ (e3 = e1)
% 195.69/32.82    (12)  op(e0, e2) = all_52_7
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (5) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 195.69/32.82  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.69/32.82  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.82  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.69/32.82  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 195.69/32.82  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.69/32.82  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.82  | |           $i(all_57_3))
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (2), (3), (4), (10), (11), (12), (13) are inconsistent by
% 195.69/32.82  | |            sub-proof #754.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (14)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.82  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.82  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.82  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.82  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.82  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.82  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.82  | |           $i(all_57_7))
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (2), (6), (7), (8), (9), (12), (14) are inconsistent by
% 195.69/32.82  | |            sub-proof #790.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #682 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)  op(e0, e0) = all_14_2
% 195.69/32.82    (2)   ~ (all_14_2 = e1)
% 195.69/32.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (4)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.69/32.82             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.82           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 195.69/32.82           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.69/32.82           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.69/32.82           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 195.69/32.82    (5)  op(e3, e3) = e2
% 195.69/32.82    (6)   ~ (e2 = e1)
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (4) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.69/32.82  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.82  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (7) implies:
% 195.69/32.82  | |   (8)  op(e0, e0) = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1967.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 195.69/32.82  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.69/32.82  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (9) implies:
% 195.69/32.82  | |   (10)  op(e3, e3) = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1934.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #683 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (2)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 195.69/32.82             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.82           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 195.69/32.82           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 195.69/32.82             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 195.69/32.82             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.69/32.82    (3)  op(e2, e2) = e1
% 195.69/32.82    (4)   ~ (e3 = e1)
% 195.69/32.82    (5)  op(e1, e1) = e3
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (2) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (6)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 195.69/32.82  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.82  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (6) implies:
% 195.69/32.82  | |   (7)  op(e2, e2) = e3
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1679.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (8)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 195.69/32.82  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.69/32.82  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (8) implies:
% 195.69/32.82  | |   (9)   ~ (all_57_14 = e3)
% 195.69/32.82  | |   (10)  op(e1, e1) = all_57_14
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (5), (9), (10) are inconsistent by sub-proof #734.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #684 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)   ~ (e3 = e2)
% 195.69/32.82    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (3)   ~ (all_52_14 = e2)
% 195.69/32.82    (4)  op(e1, e0) = all_52_14
% 195.69/32.82    (5)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.69/32.82    (6)  op(e1, e1) = e3
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (5) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (7) implies:
% 195.69/32.82  | |   (8)  op(e1, e1) = e2
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1777.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (9)  all_56_11 = e2 & op(e1, e0) = e2
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #760.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #685 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)   ~ (e3 = e2)
% 195.69/32.82    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.69/32.82    (4)  op(e0, e1) = all_52_11
% 195.69/32.82    (5)  op(e1, e1) = e3
% 195.69/32.82    (6)   ~ (all_52_11 = e2)
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (3) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (7) implies:
% 195.69/32.82  | |   (8)  op(e1, e1) = e2
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1777.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (9)  all_56_14 = e2 & op(e0, e1) = e2
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #808.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #686 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)  op(e1, e3) = all_52_2
% 195.69/32.82    (2)  all_54_4 = all_52_1
% 195.69/32.82    (3)   ~ (all_52_1 = e0)
% 195.69/32.82    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (5)  op(e1, e3) = e1
% 195.69/32.82    (6)   ~ (all_52_1 = e2)
% 195.69/32.82    (7)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.82    (8)   ~ (all_52_1 = all_52_2)
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (7) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (9)  all_54_4 = e2
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (2), (6), (9) are inconsistent by sub-proof #1833.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (10)  all_54_4 = e1 | all_54_4 = e0
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (10) are inconsistent by sub-proof
% 195.69/32.82  | |            #687.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #687 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)  op(e1, e3) = all_52_2
% 195.69/32.82    (2)  all_54_4 = all_52_1
% 195.69/32.82    (3)   ~ (all_52_1 = e0)
% 195.69/32.82    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (5)  op(e1, e3) = e1
% 195.69/32.82    (6)   ~ (all_52_1 = all_52_2)
% 195.69/32.82    (7)  all_54_4 = e1 | all_54_4 = e0
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (7) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (8)  all_54_4 = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | COMBINE_EQS: (2), (8) imply:
% 195.69/32.82  | |   (9)  all_52_1 = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | REDUCE: (6), (9) imply:
% 195.69/32.82  | |   (10)   ~ (all_52_2 = e1)
% 195.69/32.82  | | 
% 195.69/32.82  | | SIMP: (10) implies:
% 195.69/32.82  | |   (11)   ~ (all_52_2 = e1)
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (4), (5), (11) are inconsistent by sub-proof #1974.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (12)  all_54_4 = e0
% 195.69/32.82  | | 
% 195.69/32.82  | | COMBINE_EQS: (2), (12) imply:
% 195.69/32.82  | |   (13)  all_52_1 = e0
% 195.69/32.82  | | 
% 195.69/32.82  | | REDUCE: (3), (13) imply:
% 195.69/32.82  | |   (14)  $false
% 195.69/32.82  | | 
% 195.69/32.82  | | CLOSE: (14) is inconsistent.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #688 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)  all_56_1 = e1
% 195.69/32.82    (2)   ~ (e3 = e2)
% 195.69/32.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (4)   ~ (all_52_8 = e3)
% 195.69/32.82    (5)  op(e3, e0) = e0
% 195.69/32.82    (6)  op(e3, e3) = e2
% 195.69/32.82    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.69/32.82         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.69/32.82    (8)  op(e3, e1) = all_52_8
% 195.69/32.82    (9)   ~ (e3 = e1)
% 195.69/32.82    (10)   ~ (e3 = e0)
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (7) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 195.69/32.82  | |           e3)
% 195.69/32.82  | | 
% 195.69/32.82  | | BETA: splitting (11) gives:
% 195.69/32.82  | | 
% 195.69/32.82  | | Case 1:
% 195.69/32.82  | | | 
% 195.69/32.82  | | |   (12)  all_56_0 = e3 & op(e3, e3) = e3
% 195.69/32.82  | | | 
% 195.69/32.82  | | | ALPHA: (12) implies:
% 195.69/32.82  | | |   (13)  op(e3, e3) = e3
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REF_CLOSE: (2), (3), (6), (13) are inconsistent by sub-proof #1957.
% 195.69/32.82  | | | 
% 195.69/32.82  | | Case 2:
% 195.69/32.82  | | | 
% 195.69/32.82  | | |   (14)  all_56_1 = e3 & op(e3, e2) = e3
% 195.69/32.82  | | | 
% 195.69/32.82  | | | ALPHA: (14) implies:
% 195.69/32.82  | | |   (15)  all_56_1 = e3
% 195.69/32.82  | | | 
% 195.69/32.82  | | | COMBINE_EQS: (1), (15) imply:
% 195.69/32.82  | | |   (16)  e3 = e1
% 195.69/32.82  | | | 
% 195.69/32.82  | | | SIMP: (16) implies:
% 195.69/32.82  | | |   (17)  e3 = e1
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REDUCE: (9), (17) imply:
% 195.69/32.82  | | |   (18)  $false
% 195.69/32.82  | | | 
% 195.69/32.82  | | | CLOSE: (18) is inconsistent.
% 195.69/32.82  | | | 
% 195.69/32.82  | | End of split
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (19)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 195.69/32.82  | |           e3)
% 195.69/32.82  | | 
% 195.69/32.82  | | BETA: splitting (19) gives:
% 195.69/32.82  | | 
% 195.69/32.82  | | Case 1:
% 195.69/32.82  | | | 
% 195.69/32.82  | | |   (20)  all_56_4 = e3 & op(e3, e1) = e3
% 195.69/32.82  | | | 
% 195.69/32.82  | | | ALPHA: (20) implies:
% 195.69/32.82  | | |   (21)  op(e3, e1) = e3
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REF_CLOSE: (3), (4), (8), (21) are inconsistent by sub-proof #1759.
% 195.69/32.82  | | | 
% 195.69/32.82  | | Case 2:
% 195.69/32.82  | | | 
% 195.69/32.82  | | |   (22)  all_56_9 = e3 & op(e3, e0) = e3
% 195.69/32.82  | | | 
% 195.69/32.82  | | | ALPHA: (22) implies:
% 195.69/32.82  | | |   (23)  op(e3, e0) = e3
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REF_CLOSE: (3), (5), (10), (23) are inconsistent by sub-proof #1793.
% 195.69/32.82  | | | 
% 195.69/32.82  | | End of split
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #689 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.69/32.82         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.69/32.82    (2)  all_56_12 = e3
% 195.69/32.82    (3)  all_56_0 = e2
% 195.69/32.82    (4)   ~ (e1 = e0)
% 195.69/32.82    (5)  all_56_2 = e1
% 195.69/32.82    (6)  all_56_6 = e1
% 195.69/32.82    (7)   ~ (e2 = e0)
% 195.69/32.82    (8)   ~ (e3 = e0)
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (1) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 195.69/32.82  | | 
% 195.69/32.82  | | BETA: splitting (9) gives:
% 195.69/32.82  | | 
% 195.69/32.82  | | Case 1:
% 195.69/32.82  | | | 
% 195.69/32.82  | | |   (10)  all_56_0 = e0 & op(e3, e3) = e0
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REF_CLOSE: (3), (7), (10) are inconsistent by sub-proof #1461.
% 195.69/32.82  | | | 
% 195.69/32.82  | | Case 2:
% 195.69/32.82  | | | 
% 195.69/32.82  | | |   (11)  all_56_2 = e0 & op(e2, e3) = e0
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REF_CLOSE: (4), (5), (11) are inconsistent by sub-proof #1858.
% 195.69/32.82  | | | 
% 195.69/32.82  | | End of split
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 195.69/32.82  | |           e0)
% 195.69/32.82  | | 
% 195.69/32.82  | | BETA: splitting (12) gives:
% 195.69/32.82  | | 
% 195.69/32.82  | | Case 1:
% 195.69/32.82  | | | 
% 195.69/32.82  | | |   (13)  all_56_6 = e0 & op(e1, e3) = e0
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REF_CLOSE: (4), (6), (13) are inconsistent by sub-proof #1776.
% 195.69/32.82  | | | 
% 195.69/32.82  | | Case 2:
% 195.69/32.82  | | | 
% 195.69/32.82  | | |   (14)  all_56_12 = e0 & op(e0, e3) = e0
% 195.69/32.82  | | | 
% 195.69/32.82  | | | REF_CLOSE: (2), (8), (14) are inconsistent by sub-proof #1846.
% 195.69/32.82  | | | 
% 195.69/32.82  | | End of split
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #690 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)  all_54_4 = all_52_1
% 195.69/32.82    (2)   ~ (all_52_1 = e0)
% 195.69/32.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (4)  op(e2, e0) = all_52_13
% 195.69/32.82    (5)  op(e2, e0) = e1
% 195.69/32.82    (6)   ~ (all_52_1 = all_52_13)
% 195.69/32.82    (7)  all_54_4 = e1 | all_54_4 = e0
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (7) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (8)  all_54_4 = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | COMBINE_EQS: (1), (8) imply:
% 195.69/32.82  | |   (9)  all_52_1 = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | SIMP: (9) implies:
% 195.69/32.82  | |   (10)  all_52_1 = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | REDUCE: (6), (10) imply:
% 195.69/32.82  | |   (11)   ~ (all_52_13 = e1)
% 195.69/32.82  | | 
% 195.69/32.82  | | SIMP: (11) implies:
% 195.69/32.82  | |   (12)   ~ (all_52_13 = e1)
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (3), (4), (5), (12) are inconsistent by sub-proof #1650.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (13)  all_54_4 = e0
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (2), (13) are inconsistent by sub-proof #1831.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #691 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (2)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 195.69/32.82    (3)  all_56_2 = e3
% 195.69/32.82    (4)   ~ (e1 = e0)
% 195.69/32.82    (5)  op(e2, e2) = e0
% 195.69/32.82    (6)   ~ (e3 = e1)
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (2) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (7)  all_56_2 = e1 & op(e2, e3) = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (3), (6), (7) are inconsistent by sub-proof #1726.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (8)  all_56_3 = e1 & op(e2, e2) = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (8) implies:
% 195.69/32.82  | |   (9)  op(e2, e2) = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1909.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #692 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)  op(e3, e0) = e3
% 195.69/32.82    (2)  all_54_2 = all_52_8
% 195.69/32.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (4)   ~ (all_52_8 = e3)
% 195.69/32.82    (5)   ~ (all_52_8 = e2)
% 195.69/32.82    (6)  op(e3, e3) = e2
% 195.69/32.82    (7)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.69/32.82    (8)   ~ (e2 = e1)
% 195.69/32.82    (9)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.69/32.82           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.69/32.82           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.82                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 195.69/32.82               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.82               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 195.69/32.82           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 195.69/32.82             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.82               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.82           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.69/32.82               = all_57_7 & $i(all_57_7))))
% 195.69/32.82    (10)  op(e0, e0) = e2
% 195.69/32.82    (11)   ~ (e2 = e0)
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (9) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (12)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 195.69/32.82  | |         op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.69/32.82  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.69/32.82  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 195.69/32.82  | |             e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.69/32.82  | |             all_57_11 & $i(all_57_11)))
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (12) implies:
% 195.69/32.82  | |   (13)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 195.69/32.82  | |             e0) = all_57_9 & $i(all_57_9))
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (11), (13) are inconsistent by
% 195.69/32.82  | |            sub-proof #732.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (14)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.69/32.82  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.82  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 195.69/32.82  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 195.69/32.82  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.69/32.82  | |             all_57_7 & $i(all_57_7)))
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (14) implies:
% 195.69/32.82  | |   (15)  op(e0, e0) = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (3), (8), (10), (15) are inconsistent by sub-proof #1780.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #693 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (2)  op(e1, e2) = e2
% 195.69/32.82    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.69/32.82           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.69/32.82           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.69/32.82                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 195.69/32.82               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.69/32.82               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.82           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 195.69/32.82           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.82               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.82           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 195.69/32.82               = all_57_5 & $i(all_57_5))))
% 195.69/32.82    (4)   ~ (e1 = e0)
% 195.69/32.82    (5)   ~ (e2 = e1)
% 195.69/32.82    (6)  op(e2, e2) = e0
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (3) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 195.69/32.82  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 195.69/32.82  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 195.69/32.82  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 195.69/32.82  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 195.69/32.82  | |            & $i(all_57_8)))
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (7) implies:
% 195.69/32.82  | |   (8)  op(e2, e2) = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1909.
% 195.69/32.82  | | 
% 195.69/32.82  | Case 2:
% 195.69/32.82  | | 
% 195.69/32.82  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 195.69/32.82  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.82  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 195.69/32.82  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.82  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 195.69/32.82  | |            & $i(all_57_5)))
% 195.69/32.82  | | 
% 195.69/32.82  | | ALPHA: (9) implies:
% 195.69/32.82  | |   (10)  op(e1, e2) = e1
% 195.69/32.82  | | 
% 195.69/32.82  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #784.
% 195.69/32.82  | | 
% 195.69/32.82  | End of split
% 195.69/32.82  | 
% 195.69/32.82  End of proof
% 195.69/32.82  
% 195.69/32.82  Sub-proof #694 shows that the following formulas are inconsistent:
% 195.69/32.82  ----------------------------------------------------------------
% 195.69/32.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.82    (2)   ~ (all_52_4 = all_52_8)
% 195.69/32.82    (3)   ~ (all_52_4 = e2)
% 195.69/32.82    (4)   ~ (all_52_4 = e0)
% 195.69/32.82    (5)  op(e3, e1) = e1
% 195.69/32.82    (6)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.69/32.82    (7)  op(e3, e1) = all_52_8
% 195.69/32.82    (8)  all_54_1 = all_52_4
% 195.69/32.82  
% 195.69/32.82  Begin of proof
% 195.69/32.82  | 
% 195.69/32.82  | BETA: splitting (6) gives:
% 195.69/32.82  | 
% 195.69/32.82  | Case 1:
% 195.69/32.82  | | 
% 195.69/32.83  | |   (9)  all_54_1 = e2
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (3), (8), (9) are inconsistent by sub-proof #697.
% 195.69/32.83  | | 
% 195.69/32.83  | Case 2:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (10)  all_54_1 = e1 | all_54_1 = e0
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10) are inconsistent by sub-proof
% 195.69/32.83  | |            #695.
% 195.69/32.83  | | 
% 195.69/32.83  | End of split
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #695 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)  all_54_1 = e1 | all_54_1 = e0
% 195.69/32.83    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.83    (3)   ~ (all_52_4 = all_52_8)
% 195.69/32.83    (4)   ~ (all_52_4 = e0)
% 195.69/32.83    (5)  op(e3, e1) = e1
% 195.69/32.83    (6)  op(e3, e1) = all_52_8
% 195.69/32.83    (7)  all_54_1 = all_52_4
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | BETA: splitting (1) gives:
% 195.69/32.83  | 
% 195.69/32.83  | Case 1:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (8)  all_54_1 = e1
% 195.69/32.83  | | 
% 195.69/32.83  | | COMBINE_EQS: (7), (8) imply:
% 195.69/32.83  | |   (9)  all_52_4 = e1
% 195.69/32.83  | | 
% 195.69/32.83  | | SIMP: (9) implies:
% 195.69/32.83  | |   (10)  all_52_4 = e1
% 195.69/32.83  | | 
% 195.69/32.83  | | REDUCE: (3), (10) imply:
% 195.69/32.83  | |   (11)   ~ (all_52_8 = e1)
% 195.69/32.83  | | 
% 195.69/32.83  | | SIMP: (11) implies:
% 195.69/32.83  | |   (12)   ~ (all_52_8 = e1)
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (2), (5), (6), (12) are inconsistent by sub-proof #1880.
% 195.69/32.83  | | 
% 195.69/32.83  | Case 2:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (13)  all_54_1 = e0
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (4), (7), (13) are inconsistent by sub-proof #696.
% 195.69/32.83  | | 
% 195.69/32.83  | End of split
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #696 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)  all_54_1 = all_52_4
% 195.69/32.83    (2)  all_54_1 = e0
% 195.69/32.83    (3)   ~ (all_52_4 = e0)
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | COMBINE_EQS: (1), (2) imply:
% 195.69/32.83  |   (4)  all_52_4 = e0
% 195.69/32.83  | 
% 195.69/32.83  | SIMP: (4) implies:
% 195.69/32.83  |   (5)  all_52_4 = e0
% 195.69/32.83  | 
% 195.69/32.83  | REDUCE: (3), (5) imply:
% 195.69/32.83  |   (6)  $false
% 195.69/32.83  | 
% 195.69/32.83  | CLOSE: (6) is inconsistent.
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #697 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)  all_54_1 = all_52_4
% 195.69/32.83    (2)  all_54_1 = e2
% 195.69/32.83    (3)   ~ (all_52_4 = e2)
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | COMBINE_EQS: (1), (2) imply:
% 195.69/32.83  |   (4)  all_52_4 = e2
% 195.69/32.83  | 
% 195.69/32.83  | SIMP: (4) implies:
% 195.69/32.83  |   (5)  all_52_4 = e2
% 195.69/32.83  | 
% 195.69/32.83  | REDUCE: (3), (5) imply:
% 195.69/32.83  |   (6)  $false
% 195.69/32.83  | 
% 195.69/32.83  | CLOSE: (6) is inconsistent.
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #698 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.83    (2)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.69/32.83         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.69/32.83    (3)  all_56_14 = e2
% 195.69/32.83    (4)   ~ (e1 = e0)
% 195.69/32.83    (5)   ~ (e2 = e1)
% 195.69/32.83    (6)  all_56_4 = e0
% 195.69/32.83    (7)   ~ (e3 = e1)
% 195.69/32.83    (8)  op(e1, e1) = e3
% 195.69/32.83    (9)  op(e2, e1) = e2
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | BETA: splitting (2) gives:
% 195.69/32.83  | 
% 195.69/32.83  | Case 1:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (10)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 195.69/32.83  | |           e1)
% 195.69/32.83  | | 
% 195.69/32.83  | | BETA: splitting (10) gives:
% 195.69/32.83  | | 
% 195.69/32.83  | | Case 1:
% 195.69/32.83  | | | 
% 195.69/32.83  | | |   (11)  all_56_4 = e1 & op(e3, e1) = e1
% 195.69/32.83  | | | 
% 195.69/32.83  | | | ALPHA: (11) implies:
% 195.69/32.83  | | |   (12)  all_56_4 = e1
% 195.69/32.83  | | | 
% 195.69/32.83  | | | REF_CLOSE: (4), (6), (12) are inconsistent by sub-proof #1827.
% 195.69/32.83  | | | 
% 195.69/32.83  | | Case 2:
% 195.69/32.83  | | | 
% 195.69/32.83  | | |   (13)  all_56_5 = e1 & op(e2, e1) = e1
% 195.69/32.83  | | | 
% 195.69/32.83  | | | ALPHA: (13) implies:
% 195.69/32.83  | | |   (14)  op(e2, e1) = e1
% 195.69/32.83  | | | 
% 195.69/32.83  | | | REF_CLOSE: (1), (5), (9), (14) are inconsistent by sub-proof #1441.
% 195.69/32.83  | | | 
% 195.69/32.83  | | End of split
% 195.69/32.83  | | 
% 195.69/32.83  | Case 2:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (15)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 195.69/32.83  | |           e1)
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (1), (3), (5), (7), (8), (15) are inconsistent by sub-proof
% 195.69/32.83  | |            #1154.
% 195.69/32.83  | | 
% 195.69/32.83  | End of split
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #699 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 195.69/32.83    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.83    (3)  all_56_14 = e3
% 195.69/32.83    (4)   ~ (e1 = e0)
% 195.69/32.83    (5)  op(e0, e0) = e0
% 195.69/32.83    (6)   ~ (e3 = e1)
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | BETA: splitting (1) gives:
% 195.69/32.83  | 
% 195.69/32.83  | Case 1:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (3), (6), (7) are inconsistent by sub-proof #1748.
% 195.69/32.83  | | 
% 195.69/32.83  | Case 2:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (8)  all_56_15 = e1 & op(e0, e0) = e1
% 195.69/32.83  | | 
% 195.69/32.83  | | ALPHA: (8) implies:
% 195.69/32.83  | |   (9)  op(e0, e0) = e1
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1943.
% 195.69/32.83  | | 
% 195.69/32.83  | End of split
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #700 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)  all_56_13 = e3 & op(e0, e2) = e3
% 195.69/32.83    (2)  all_56_13 = e2
% 195.69/32.83    (3)   ~ (e3 = e2)
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | ALPHA: (1) implies:
% 195.69/32.83  |   (4)  all_56_13 = e3
% 195.69/32.83  | 
% 195.69/32.83  | COMBINE_EQS: (2), (4) imply:
% 195.69/32.83  |   (5)  e3 = e2
% 195.69/32.83  | 
% 195.69/32.83  | REDUCE: (3), (5) imply:
% 195.69/32.83  |   (6)  $false
% 195.69/32.83  | 
% 195.69/32.83  | CLOSE: (6) is inconsistent.
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #701 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.69/32.83    (2)  all_56_12 = e3
% 195.69/32.83    (3)  all_56_6 = e0
% 195.69/32.83    (4)   ~ (e1 = e0)
% 195.69/32.83    (5)   ~ (e3 = e1)
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | BETA: splitting (1) gives:
% 195.69/32.83  | 
% 195.69/32.83  | Case 1:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (6)  all_56_6 = e1 & op(e1, e3) = e1
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #1293.
% 195.69/32.83  | | 
% 195.69/32.83  | Case 2:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (7)  all_56_12 = e1 & op(e0, e3) = e1
% 195.69/32.83  | | 
% 195.69/32.83  | | ALPHA: (7) implies:
% 195.69/32.83  | |   (8)  all_56_12 = e1
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #1674.
% 195.69/32.83  | | 
% 195.69/32.83  | End of split
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #702 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)  op(e1, e2) = all_52_6
% 195.69/32.83    (2)   ~ (e3 = e2)
% 195.69/32.83    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.83    (4)  all_56_12 = e3
% 195.69/32.83    (5)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 195.69/32.83         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.69/32.83    (6)   ~ (e1 = e0)
% 195.69/32.83    (7)   ~ (all_52_6 = e3)
% 195.69/32.83    (8)  all_56_14 = e1
% 195.69/32.83    (9)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.83             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 195.69/32.83               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.69/32.83               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.69/32.83    (10)   ~ (e2 = e1)
% 195.69/32.83    (11)   ~ (e2 = e0)
% 195.69/32.83    (12)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.69/32.83    (13)   ~ (e3 = e0)
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | BETA: splitting (12) gives:
% 195.69/32.83  | 
% 195.69/32.83  | Case 1:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (14)  all_56_7 = e3 & op(e1, e2) = e3
% 195.69/32.83  | | 
% 195.69/32.83  | | ALPHA: (14) implies:
% 195.69/32.83  | |   (15)  op(e1, e2) = e3
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (1), (3), (7), (15) are inconsistent by sub-proof #1408.
% 195.69/32.83  | | 
% 195.69/32.83  | Case 2:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (16)  all_56_13 = e3 & op(e0, e2) = e3
% 195.69/32.83  | | 
% 195.69/32.83  | | ALPHA: (16) implies:
% 195.69/32.83  | |   (17)  all_56_13 = e3
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (13), (17) are
% 195.69/32.83  | |            inconsistent by sub-proof #703.
% 195.69/32.83  | | 
% 195.69/32.83  | End of split
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #703 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)   ~ (e3 = e2)
% 195.69/32.83    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.83    (3)  all_56_13 = e3
% 195.69/32.83    (4)  all_56_12 = e3
% 195.69/32.83    (5)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 195.69/32.83         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.69/32.83    (6)   ~ (e1 = e0)
% 195.69/32.83    (7)  all_56_14 = e1
% 195.69/32.83    (8)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.83             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 195.69/32.83               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.69/32.83               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.69/32.83    (9)   ~ (e2 = e1)
% 195.69/32.83    (10)   ~ (e2 = e0)
% 195.69/32.83    (11)   ~ (e3 = e0)
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | BETA: splitting (8) gives:
% 195.69/32.83  | 
% 195.69/32.83  | Case 1:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (12)  all_56_15 = e0 & op(e0, e0) = e0
% 195.69/32.83  | | 
% 195.69/32.83  | | ALPHA: (12) implies:
% 195.69/32.83  | |   (13)  op(e0, e0) = e0
% 195.69/32.83  | | 
% 195.69/32.83  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (13) are inconsistent by
% 195.69/32.83  | |            sub-proof #704.
% 195.69/32.83  | | 
% 195.69/32.83  | Case 2:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (14)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 195.69/32.83  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 195.69/32.83  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 195.69/32.83  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 195.69/32.83  | | 
% 195.69/32.83  | | ALPHA: (14) implies:
% 195.69/32.83  | |   (15)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 195.69/32.83  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 195.69/32.83  | | 
% 195.69/32.83  | | BETA: splitting (15) gives:
% 195.69/32.83  | | 
% 195.69/32.83  | | Case 1:
% 195.69/32.83  | | | 
% 195.69/32.83  | | |   (16)  all_56_12 = e0 & op(e0, e3) = e0
% 195.69/32.83  | | | 
% 195.69/32.83  | | | REF_CLOSE: (4), (11), (16) are inconsistent by sub-proof #1846.
% 195.69/32.83  | | | 
% 195.69/32.83  | | Case 2:
% 195.69/32.83  | | | 
% 195.69/32.83  | | |   (17)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 195.69/32.83  | | |           = e0)
% 195.69/32.83  | | | 
% 195.69/32.83  | | | BETA: splitting (17) gives:
% 195.69/32.83  | | | 
% 195.69/32.83  | | | Case 1:
% 195.69/32.83  | | | | 
% 195.69/32.83  | | | |   (18)  all_56_13 = e0 & op(e0, e2) = e0
% 195.69/32.83  | | | | 
% 195.69/32.83  | | | | REF_CLOSE: (3), (11), (18) are inconsistent by sub-proof #1696.
% 195.69/32.83  | | | | 
% 195.69/32.83  | | | Case 2:
% 195.69/32.83  | | | | 
% 195.69/32.83  | | | |   (19)  all_56_14 = e0 & op(e0, e1) = e0
% 195.69/32.83  | | | | 
% 195.69/32.83  | | | | REF_CLOSE: (6), (7), (19) are inconsistent by sub-proof #1207.
% 195.69/32.83  | | | | 
% 195.69/32.83  | | | End of split
% 195.69/32.83  | | | 
% 195.69/32.83  | | End of split
% 195.69/32.83  | | 
% 195.69/32.83  | End of split
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #704 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)   ~ (e3 = e2)
% 195.69/32.83    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.83    (3)  all_56_13 = e3
% 195.69/32.83    (4)  all_56_12 = e3
% 195.69/32.83    (5)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 195.69/32.83         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 195.69/32.83    (6)  all_56_14 = e1
% 195.69/32.83    (7)   ~ (e2 = e1)
% 195.69/32.83    (8)  op(e0, e0) = e0
% 195.69/32.83    (9)   ~ (e2 = e0)
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | BETA: splitting (5) gives:
% 195.69/32.83  | 
% 195.69/32.83  | Case 1:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (10)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 195.69/32.83  | |           e2)
% 195.69/32.83  | | 
% 195.69/32.83  | | BETA: splitting (10) gives:
% 195.69/32.83  | | 
% 195.69/32.83  | | Case 1:
% 195.69/32.83  | | | 
% 195.69/32.83  | | |   (11)  all_56_12 = e2 & op(e0, e3) = e2
% 195.69/32.83  | | | 
% 195.69/32.83  | | | ALPHA: (11) implies:
% 195.69/32.83  | | |   (12)  all_56_12 = e2
% 195.69/32.83  | | | 
% 195.69/32.83  | | | REF_CLOSE: (1), (4), (12) are inconsistent by sub-proof #1354.
% 195.69/32.83  | | | 
% 195.69/32.83  | | Case 2:
% 195.69/32.83  | | | 
% 195.69/32.83  | | |   (13)  all_56_13 = e2 & op(e0, e2) = e2
% 195.69/32.83  | | | 
% 195.69/32.83  | | | ALPHA: (13) implies:
% 195.69/32.83  | | |   (14)  all_56_13 = e2
% 195.69/32.83  | | | 
% 195.69/32.83  | | | REF_CLOSE: (1), (3), (14) are inconsistent by sub-proof #1541.
% 195.69/32.83  | | | 
% 195.69/32.83  | | End of split
% 195.69/32.83  | | 
% 195.69/32.83  | Case 2:
% 195.69/32.83  | | 
% 195.69/32.83  | |   (15)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 195.69/32.83  | |           e2)
% 195.69/32.83  | | 
% 195.69/32.83  | | BETA: splitting (15) gives:
% 195.69/32.83  | | 
% 195.69/32.83  | | Case 1:
% 195.69/32.83  | | | 
% 195.69/32.83  | | |   (16)  all_56_14 = e2 & op(e0, e1) = e2
% 195.69/32.83  | | | 
% 195.69/32.83  | | | REF_CLOSE: (6), (7), (16) are inconsistent by sub-proof #1386.
% 195.69/32.83  | | | 
% 195.69/32.83  | | Case 2:
% 195.69/32.83  | | | 
% 195.69/32.83  | | |   (17)  all_56_15 = e2 & op(e0, e0) = e2
% 195.69/32.83  | | | 
% 195.69/32.83  | | | ALPHA: (17) implies:
% 195.69/32.83  | | |   (18)  op(e0, e0) = e2
% 195.69/32.83  | | | 
% 195.69/32.83  | | | REF_CLOSE: (2), (8), (9), (18) are inconsistent by sub-proof #1945.
% 195.69/32.83  | | | 
% 195.69/32.83  | | End of split
% 195.69/32.83  | | 
% 195.69/32.83  | End of split
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #705 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)  all_54_14 = all_20_0
% 195.69/32.83    (2)  all_54_14 = e0
% 195.69/32.83    (3)   ~ (all_20_0 = e0)
% 195.69/32.83  
% 195.69/32.83  Begin of proof
% 195.69/32.83  | 
% 195.69/32.83  | COMBINE_EQS: (1), (2) imply:
% 195.69/32.83  |   (4)  all_20_0 = e0
% 195.69/32.83  | 
% 195.69/32.83  | SIMP: (4) implies:
% 195.69/32.83  |   (5)  all_20_0 = e0
% 195.69/32.83  | 
% 195.69/32.83  | REDUCE: (3), (5) imply:
% 195.69/32.83  |   (6)  $false
% 195.69/32.83  | 
% 195.69/32.83  | CLOSE: (6) is inconsistent.
% 195.69/32.83  | 
% 195.69/32.83  End of proof
% 195.69/32.83  
% 195.69/32.83  Sub-proof #706 shows that the following formulas are inconsistent:
% 195.69/32.83  ----------------------------------------------------------------
% 195.69/32.83    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.69/32.83         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.69/32.83    (2)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.69/32.83         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.69/32.83    (3)   ~ (all_52_7 = e0)
% 195.69/32.83    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.69/32.83           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.69/32.83           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.69/32.83                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.69/32.83               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.69/32.83               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.83           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.69/32.83           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.83               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.69/32.83           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.69/32.83               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.69/32.83           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.69/32.83           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.69/32.83               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.83               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.83               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.83         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.69/32.83           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.83           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.69/32.83               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.83             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.83         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.69/32.83           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.69/32.83           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.69/32.83                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.69/32.83               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.69/32.83               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.69/32.83           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.69/32.83           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.83             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.83           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.83               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.69/32.83           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.69/32.83           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.69/32.83               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.83               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.69/32.83               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.83         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.69/32.83           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.69/32.83           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.69/32.83               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.83             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.83         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.83           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.83           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.83                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.69/32.83               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.83               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.69/32.83           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.69/32.83             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.83               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.83           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.83               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.69/32.83           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.69/32.83           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.69/32.83               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.83               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.83               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.83         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.69/32.83           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.69/32.83           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.69/32.83               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.69/32.83             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.83         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.69/32.83             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.83           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.69/32.83               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.69/32.83             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.83         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.69/32.83             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.83           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.83               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.69/32.83             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.83         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.69/32.83             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.83           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.69/32.83               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.69/32.83             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.83         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.69/32.83             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.83           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.69/32.83               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.69/32.83             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.83    (5)  all_54_4 = all_52_1
% 195.69/32.83    (6)   ~ (all_52_3 = e1)
% 195.69/32.83    (7)  all_54_7 = all_52_13
% 195.69/32.83    (8)   ~ (all_52_14 = e0)
% 195.69/32.83    (9)   ~ (all_52_6 = e0)
% 195.69/32.83    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.69/32.83          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.69/32.83    (11)   ~ (all_52_1 = e0)
% 195.69/32.83    (12)   ~ (all_52_3 = e2)
% 195.69/32.83    (13)  all_54_6 = all_52_9
% 195.69/32.83    (14)   ~ (all_52_1 = all_52_9)
% 195.69/32.83    (15)   ~ (all_52_6 = all_52_7)
% 195.69/32.83    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.69/32.83          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.69/32.83    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.69/32.83          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.69/32.83    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.83            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.83    (19)   ~ (all_52_9 = e1)
% 195.69/32.83    (20)  op(e3, e2) = all_52_4
% 195.69/32.83    (21)  op(e2, e2) = all_4_2
% 195.69/32.83    (22)   ~ (all_52_9 = e0)
% 195.69/32.83    (23)   ~ (all_52_12 = all_52_13)
% 195.69/32.83    (24)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.69/32.83    (25)   ~ (all_52_3 = all_52_7)
% 195.69/32.83    (26)   ~ (all_52_9 = e3)
% 195.69/32.83    (27)  all_54_12 = all_52_3
% 195.69/32.83    (28)  all_54_13 = all_52_7
% 195.69/32.83    (29)   ~ (all_52_4 = all_52_7)
% 195.69/32.83    (30)  all_56_12 = e3
% 195.69/32.83    (31)  all_54_9 = all_52_6
% 195.69/32.83    (32)  all_56_13 = e2
% 195.69/32.83    (33)   ~ (all_52_4 = e0)
% 195.69/32.83    (34)  op(e0, e3) = all_52_3
% 195.69/32.83    (35)  op(e2, e0) = all_52_13
% 195.69/32.83    (36)  op(e1, e0) = all_52_14
% 195.69/32.83    (37)   ~ (all_52_4 = all_52_12)
% 195.69/32.83    (38)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.83              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.83            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.83            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.83            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.83            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.83            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.83            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.83            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.69/32.83            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.83            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.83            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.69/32.83            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.83            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.83            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.83            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.83            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.83            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.69/32.83            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.83            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.83            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.69/32.83            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.83            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.83            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.69/32.83            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.83            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.83            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.83            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.83            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.83            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.69/32.83            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.69/32.83            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.69/32.83            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.83            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.83            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.83            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.83            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.83            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.83            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.83            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.83            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.83            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.69/32.83            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.83            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.83            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.83            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.83            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.83            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.83              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.83            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.83            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.83              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.83            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.83            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.69/32.83                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.83                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.83                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.83                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.83                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.83                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.83                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.83              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.83                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.83                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.83                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.83                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.83                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.83                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.83                $i(all_57_7))))
% 195.69/32.83    (39)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 195.69/32.83          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 195.69/32.83    (40)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.83    (41)  all_56_6 = e0
% 195.69/32.83    (42)   ~ (all_52_7 = e1)
% 195.69/32.83    (43)  all_56_9 = e1
% 195.69/32.83    (44)   ~ (all_52_6 = all_52_14)
% 195.69/32.84    (45)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 195.69/32.84            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 195.69/32.84              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 195.69/32.84    (46)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.69/32.84          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.69/32.84    (47)   ~ (all_4_2 = e3)
% 195.69/32.84    (48)  op(e3, e2) = e3
% 195.69/32.84    (49)  op(e3, e3) = e2
% 195.69/32.84    (50)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 195.69/32.84          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.84    (51)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.69/32.84    (52)  all_56_0 = e2
% 195.69/32.84    (53)   ~ (e1 = e0)
% 195.69/32.84    (54)   ~ (all_52_1 = all_52_13)
% 195.69/32.84    (55)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.84    (56)  all_56_2 = e1
% 195.69/32.84    (57)   ~ (all_52_6 = e3)
% 195.69/32.84    (58)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.69/32.84          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.69/32.84    (59)  all_56_14 = e1
% 195.69/32.84    (60)  all_36_2 = e0
% 195.69/32.84    (61)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.69/32.84    (62)   ~ (all_52_1 = e2)
% 195.69/32.84    (63)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.84              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.69/32.84                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.69/32.84                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.69/32.84    (64)   ~ (e2 = e1)
% 195.69/32.84    (65)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.69/32.84    (66)   ~ (all_52_3 = e0)
% 195.69/32.84    (67)  op(e3, e0) = all_52_12
% 195.69/32.84    (68)  op(e2, e1) = all_52_9
% 195.69/32.84    (69)  op(e0, e0) = e0
% 195.69/32.84    (70)  all_56_1 = e3
% 195.69/32.84    (71)   ~ (all_52_4 = all_52_6)
% 195.69/32.84    (72)   ~ (all_52_13 = e0)
% 195.69/32.84    (73)   ~ (all_52_1 = all_52_3)
% 195.69/32.84    (74)  op(e2, e2) = e0
% 195.69/32.84    (75)   ~ (all_52_9 = all_52_13)
% 195.69/32.84    (76)   ~ (e3 = e1)
% 195.69/32.84    (77)  all_54_1 = all_52_4
% 195.69/32.84    (78)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.69/32.84          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.69/32.84    (79)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.69/32.84          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.69/32.84    (80)  op(e0, e2) = all_52_7
% 195.69/32.84    (81)  op(e1, e1) = e3
% 195.69/32.84    (82)   ~ (e2 = e0)
% 195.69/32.84    (83)  op(e2, e3) = all_52_1
% 195.69/32.84    (84)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.69/32.84    (85)   ~ (e3 = e0)
% 195.69/32.84  
% 195.69/32.84  Begin of proof
% 195.69/32.84  | 
% 195.69/32.84  | BETA: splitting (46) gives:
% 195.69/32.84  | 
% 195.69/32.84  | Case 1:
% 195.69/32.84  | | 
% 195.69/32.84  | |   (86)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 195.69/32.84  | |           e3)
% 195.69/32.84  | | 
% 195.69/32.84  | | REF_CLOSE: (16), (17), (18), (21), (30), (47), (49), (53), (64), (76), (82),
% 195.69/32.84  | |            (85), (86) are inconsistent by sub-proof #724.
% 195.69/32.84  | | 
% 195.69/32.84  | Case 2:
% 195.69/32.84  | | 
% 195.69/32.84  | |   (87)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 195.69/32.84  | |           e3)
% 195.69/32.84  | | 
% 195.69/32.84  | | BETA: splitting (87) gives:
% 195.69/32.84  | | 
% 195.69/32.84  | | Case 1:
% 195.69/32.84  | | | 
% 195.69/32.84  | | |   (88)  all_56_5 = e3 & op(e2, e1) = e3
% 195.69/32.84  | | | 
% 195.69/32.84  | | | ALPHA: (88) implies:
% 195.69/32.84  | | |   (89)  op(e2, e1) = e3
% 195.69/32.84  | | | 
% 195.69/32.84  | | | REF_CLOSE: (18), (26), (68), (89) are inconsistent by sub-proof #1758.
% 195.69/32.84  | | | 
% 195.69/32.84  | | Case 2:
% 195.69/32.84  | | | 
% 195.69/32.84  | | |   (90)  all_56_10 = e3 & op(e2, e0) = e3
% 195.69/32.84  | | | 
% 195.69/32.84  | | | ALPHA: (90) implies:
% 195.69/32.84  | | |   (91)  op(e2, e0) = e3
% 195.69/32.84  | | | 
% 195.69/32.84  | | | BETA: splitting (24) gives:
% 195.69/32.84  | | | 
% 195.69/32.84  | | | Case 1:
% 195.69/32.84  | | | | 
% 195.69/32.84  | | | |   (92)  all_54_12 = e3
% 195.69/32.84  | | | | 
% 195.69/32.84  | | | | COMBINE_EQS: (27), (92) imply:
% 195.69/32.84  | | | |   (93)  all_52_3 = e3
% 195.69/32.84  | | | | 
% 195.69/32.84  | | | | SIMP: (93) implies:
% 195.69/32.84  | | | |   (94)  all_52_3 = e3
% 195.69/32.84  | | | | 
% 195.69/32.84  | | | | REDUCE: (73), (94) imply:
% 195.69/32.84  | | | |   (95)   ~ (all_52_1 = e3)
% 195.69/32.84  | | | | 
% 195.69/32.84  | | | | REDUCE: (25), (94) imply:
% 195.69/32.84  | | | |   (96)   ~ (all_52_7 = e3)
% 195.69/32.84  | | | | 
% 195.69/32.84  | | | | SIMP: (96) implies:
% 195.69/32.84  | | | |   (97)   ~ (all_52_7 = e3)
% 195.69/32.84  | | | | 
% 195.69/32.84  | | | | REDUCE: (12), (94) imply:
% 195.69/32.84  | | | |   (98)   ~ (e3 = e2)
% 195.69/32.84  | | | | 
% 195.69/32.84  | | | | BETA: splitting (40) gives:
% 195.69/32.84  | | | | 
% 195.69/32.84  | | | | Case 1:
% 195.69/32.84  | | | | | 
% 195.69/32.84  | | | | |   (99)  all_54_6 = e3
% 195.69/32.84  | | | | | 
% 195.69/32.84  | | | | | REF_CLOSE: (13), (26), (99) are inconsistent by sub-proof #1468.
% 195.69/32.84  | | | | | 
% 195.69/32.84  | | | | Case 2:
% 195.69/32.84  | | | | | 
% 195.69/32.84  | | | | |   (100)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.69/32.84  | | | | | 
% 195.69/32.84  | | | | | BETA: splitting (1) gives:
% 195.69/32.84  | | | | | 
% 195.69/32.84  | | | | | Case 1:
% 195.69/32.84  | | | | | | 
% 195.69/32.84  | | | | | |   (101)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2,
% 195.69/32.84  | | | | | |              e2) = e1)
% 195.69/32.84  | | | | | | 
% 195.69/32.84  | | | | | | REF_CLOSE: (18), (48), (53), (74), (76), (101) are inconsistent by
% 195.69/32.84  | | | | | |            sub-proof #717.
% 195.69/32.84  | | | | | | 
% 195.69/32.84  | | | | | Case 2:
% 195.69/32.84  | | | | | | 
% 195.69/32.84  | | | | | |   (102)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 &
% 195.69/32.84  | | | | | |            op(e0, e2) = e1)
% 195.69/32.84  | | | | | | 
% 195.69/32.84  | | | | | | BETA: splitting (102) gives:
% 195.69/32.84  | | | | | | 
% 195.69/32.84  | | | | | | Case 1:
% 195.69/32.84  | | | | | | | 
% 195.69/32.84  | | | | | | |   (103)  all_56_7 = e1 & op(e1, e2) = e1
% 195.69/32.84  | | | | | | | 
% 195.69/32.84  | | | | | | | ALPHA: (103) implies:
% 195.69/32.84  | | | | | | |   (104)  all_56_7 = e1
% 195.69/32.84  | | | | | | |   (105)  op(e1, e2) = e1
% 195.69/32.84  | | | | | | | 
% 195.69/32.84  | | | | | | | BETA: splitting (78) gives:
% 195.69/32.84  | | | | | | | 
% 195.69/32.84  | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | 
% 195.69/32.84  | | | | | | | |   (106)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 &
% 195.69/32.84  | | | | | | | |            op(e1, e2) = e2)
% 195.69/32.84  | | | | | | | | 
% 195.69/32.84  | | | | | | | | BETA: splitting (106) gives:
% 195.69/32.84  | | | | | | | | 
% 195.69/32.84  | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | |   (107)  all_56_6 = e2 & op(e1, e3) = e2
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | ALPHA: (107) implies:
% 195.69/32.84  | | | | | | | | |   (108)  all_56_6 = e2
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | BETA: splitting (16) gives:
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | |   (109)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 195.69/32.84  | | | | | | | | | |            & op(e2, e3) = e0)
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | BETA: splitting (109) gives:
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | |   (110)  all_56_0 = e0 & op(e3, e3) = e0
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | ALPHA: (110) implies:
% 195.69/32.84  | | | | | | | | | | |   (111)  all_56_0 = e0
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | COMBINE_EQS: (52), (111) imply:
% 195.69/32.84  | | | | | | | | | | |   (112)  e2 = e0
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | SIMP: (112) implies:
% 195.69/32.84  | | | | | | | | | | |   (113)  e2 = e0
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | REDUCE: (82), (113) imply:
% 195.69/32.84  | | | | | | | | | | |   (114)  $false
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | CLOSE: (114) is inconsistent.
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | |   (115)  all_56_2 = e0 & op(e2, e3) = e0
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | ALPHA: (115) implies:
% 195.69/32.84  | | | | | | | | | | |   (116)  all_56_2 = e0
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | REF_CLOSE: (53), (56), (116) are inconsistent by sub-proof
% 195.69/32.84  | | | | | | | | | | |            #1713.
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | End of split
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | |   (117)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0
% 195.69/32.84  | | | | | | | | | |            & op(e0, e3) = e0)
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | BETA: splitting (117) gives:
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | |   (118)  all_56_6 = e0 & op(e1, e3) = e0
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | REF_CLOSE: (41), (82), (108) are inconsistent by sub-proof
% 195.69/32.84  | | | | | | | | | | |            #1849.
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | |   (119)  all_56_12 = e0 & op(e0, e3) = e0
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | ALPHA: (119) implies:
% 195.69/32.84  | | | | | | | | | | |   (120)  all_56_12 = e0
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | REF_CLOSE: (30), (85), (120) are inconsistent by sub-proof
% 195.69/32.84  | | | | | | | | | | |            #1700.
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | End of split
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | End of split
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | |   (121)  all_56_7 = e2 & op(e1, e2) = e2
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | ALPHA: (121) implies:
% 195.69/32.84  | | | | | | | | |   (122)  op(e1, e2) = e2
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | REF_CLOSE: (18), (64), (105), (122) are inconsistent by
% 195.69/32.84  | | | | | | | | |            sub-proof #784.
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | End of split
% 195.69/32.84  | | | | | | | | 
% 195.69/32.84  | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | 
% 195.69/32.84  | | | | | | | |   (123)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 195.69/32.84  | | | | | | | |            op(e1, e0) = e2)
% 195.69/32.84  | | | | | | | | 
% 195.69/32.84  | | | | | | | | BETA: splitting (123) gives:
% 195.69/32.84  | | | | | | | | 
% 195.69/32.84  | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | |   (124)  all_56_8 = e2 & op(e1, e1) = e2
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | ALPHA: (124) implies:
% 195.69/32.84  | | | | | | | | |   (125)  op(e1, e1) = e2
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | REF_CLOSE: (18), (81), (98), (125) are inconsistent by
% 195.69/32.84  | | | | | | | | |            sub-proof #1777.
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | |   (126)  all_56_11 = e2 & op(e1, e0) = e2
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | ALPHA: (126) implies:
% 195.69/32.84  | | | | | | | | |   (127)  all_56_11 = e2
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | BETA: splitting (61) gives:
% 195.69/32.84  | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | |   (128)  all_54_13 = e3
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | REF_CLOSE: (28), (97), (128) are inconsistent by sub-proof
% 195.69/32.84  | | | | | | | | | |            #1445.
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | |   (129)   ~ (all_54_13 = e3)
% 195.69/32.84  | | | | | | | | | |   (130)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | BETA: splitting (55) gives:
% 195.69/32.84  | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | |   (131)  all_54_4 = e3
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | REF_CLOSE: (5), (95), (131) are inconsistent by sub-proof
% 195.69/32.84  | | | | | | | | | | |            #1409.
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | |   (132)   ~ (all_54_4 = e3)
% 195.69/32.84  | | | | | | | | | | |   (133)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | BETA: splitting (133) gives:
% 195.69/32.84  | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | |   (134)  all_54_4 = e2
% 195.69/32.84  | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | REF_CLOSE: (5), (62), (134) are inconsistent by sub-proof
% 195.69/32.84  | | | | | | | | | | | |            #1833.
% 195.69/32.84  | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | |   (135)  all_54_4 = e1 | all_54_4 = e0
% 195.69/32.84  | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | BETA: splitting (100) gives:
% 195.69/32.84  | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | |   (136)  all_54_6 = e2
% 195.69/32.84  | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | COMBINE_EQS: (13), (136) imply:
% 195.69/32.84  | | | | | | | | | | | | |   (137)  all_52_9 = e2
% 195.69/32.84  | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | SIMP: (137) implies:
% 195.69/32.84  | | | | | | | | | | | | |   (138)  all_52_9 = e2
% 195.69/32.84  | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | REDUCE: (75), (138) imply:
% 195.69/32.84  | | | | | | | | | | | | |   (139)   ~ (all_52_13 = e2)
% 195.69/32.84  | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | SIMP: (139) implies:
% 195.69/32.84  | | | | | | | | | | | | |   (140)   ~ (all_52_13 = e2)
% 195.69/32.84  | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | REDUCE: (68), (138) imply:
% 195.69/32.84  | | | | | | | | | | | | |   (141)  op(e2, e1) = e2
% 195.69/32.84  | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | BETA: splitting (130) gives:
% 195.69/32.84  | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | |   (142)  all_54_13 = e2
% 195.69/32.84  | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | COMBINE_EQS: (28), (142) imply:
% 195.69/32.84  | | | | | | | | | | | | | |   (143)  all_52_7 = e2
% 195.69/32.84  | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | SIMP: (143) implies:
% 195.69/32.84  | | | | | | | | | | | | | |   (144)  all_52_7 = e2
% 195.69/32.84  | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | REDUCE: (29), (144) imply:
% 195.69/32.84  | | | | | | | | | | | | | |   (145)   ~ (all_52_4 = e2)
% 195.69/32.84  | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | REDUCE: (15), (144) imply:
% 195.69/32.84  | | | | | | | | | | | | | |   (146)   ~ (all_52_6 = e2)
% 195.69/32.84  | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | REDUCE: (97), (144) imply:
% 195.69/32.84  | | | | | | | | | | | | | |   (147)   ~ (e3 = e2)
% 195.69/32.84  | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 195.69/32.84  | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | |   (148)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.84  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.84  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.84  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.84  | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.84  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.84  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.84  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.84  | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.84  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.84  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.84  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.84  | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.84  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.84  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.84  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.84  | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.84  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.84  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.84  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.84  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.84  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.84  | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.84  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.84  | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.84  | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.69/32.84  | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.84  | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.84  | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.84  | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.84  | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.84  | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.84  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.84  | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.84  | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.84  | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | |   (149)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.84  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.84  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.84  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.84  | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.84  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.84  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.84  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.84  | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.84  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.84  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.84  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.84  | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.84  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.84  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.84  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.84  | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | |   (150)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.69/32.84  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.84  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.84  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.84  | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.69/32.84  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.69/32.84  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.84  | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.84  | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (47), (81), (98), (105), (150) are
% 195.69/32.84  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #716.
% 195.69/32.84  | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | |   (151)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.84  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.84  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.84  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.84  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.84  | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.84  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.69/32.84  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.69/32.84  | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.69/32.84  | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | |   (152)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.84  | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.69/32.84  | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | ALPHA: (152) implies:
% 195.69/32.84  | | | | | | | | | | | | | | | | | |   (153)  op(e3, e3) = e1
% 195.69/32.84  | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (16), (18), (53), (56), (58), (64), (76),
% 195.69/32.84  | | | | | | | | | | | | | | | | | |            (82), (85), (98), (153) are inconsistent by
% 195.69/32.84  | | | | | | | | | | | | | | | | | |            sub-proof #1844.
% 195.69/32.84  | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | |   (154)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.69/32.84  | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.69/32.84  | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 195.69/32.84  | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 195.69/32.84  | | | | | | | | | | | | | | | | | |   (155)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.69/32.84  | | | | | | | | | | | | | | | | | |              = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | |   (156)  all_54_9 = e3
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (57), (156) are inconsistent by sub-proof
% 195.69/32.84  | | | | | | | | | | | | | | | | | | |            #715.
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | |   (157)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | |   (158)  all_54_9 = e2
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (146), (158) are inconsistent by sub-proof
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | |            #1142.
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | |   (159)   ~ (all_54_9 = e2)
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | |   (160)  all_54_9 = e1 | all_54_9 = e0
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | |   (161)  all_54_9 = e1
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (161) imply:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | |   (162)  all_52_6 = e1
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | SIMP: (162) implies:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | |   (163)  all_52_6 = e1
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (163) imply:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | |   (164)   ~ (all_52_4 = e1)
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (163) imply:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | |   (165)   ~ (all_52_14 = e1)
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | SIMP: (165) implies:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | |   (166)   ~ (all_52_14 = e1)
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (163) imply:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | |   (167)   ~ (e2 = e1)
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | |   (168)  all_54_1 = e3
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (168) imply:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | |   (169)  all_52_4 = e3
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (169) imply:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | |   (170)   ~ (all_52_12 = e3)
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | SIMP: (170) implies:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | |   (171)   ~ (all_52_12 = e3)
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |   (172)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |   (173)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (47), (155), (174) are inconsistent by
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1223.
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (175)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (47), (81), (175) are inconsistent by
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #733.
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |   (176)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (49), (177) are inconsistent by sub-proof
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            #798.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (178)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (18), (32), (48), (53), (59), (63), (74),
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (82), (85), (98), (178) are inconsistent by
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #714.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |   (179)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |   (180)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (16), (18), (53), (56), (58), (64), (67),
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            (69), (76), (82), (85), (98), (171), (180) are
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #713.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |   (181)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (49), (82), (182) are inconsistent by
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #819.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_57_13 = e1)
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  op(e1, e0) = all_57_13
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (10), (16), (18), (21), (32), (34),
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (45), (47), (48), (49), (53), (56), (58),
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (59), (60), (62), (63), (64), (66), (67), (69),
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (74), (76), (80), (81), (82), (83), (85), (91),
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (98), (171), (185), (186) are inconsistent by
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #711.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (16), (18), (21), (34), (36), (47),
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (56), (58), (64), (66), (74), (76), (80),
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (85), (98), (166), (187) are inconsistent by
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #710.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | |   (188)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (77), (145), (164), (188) are inconsistent
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1897.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | |   (189)  all_54_9 = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (31), (189) are inconsistent by sub-proof
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | |            #1803.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | |   (190)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.85  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.85  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.85  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.85  | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.85  | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.85  | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.85  | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | |   (191)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.69/32.85  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (34), (49), (66), (82), (191) are
% 195.69/32.85  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #830.
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | |   (192)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.69/32.85  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.69/32.85  | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (53), (68), (74), (192) are
% 195.69/32.85  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1368.
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | |   (193)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.85  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.85  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.85  | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.85  | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.69/32.85  | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.85  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.85  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.85  | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.85  | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.85  | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.69/32.85  | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.85  | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.85  | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.85  | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.85  | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.85  | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.85  | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.85  | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.85  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.85  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.85  | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.85  | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.85  | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.85  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.85  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.85  | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.85  | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.85  | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.85  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.85  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.85  | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 195.69/32.85  | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | Case 1:
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | |   (194)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.85  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.85  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.85  | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.85  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.85  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.85  | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.85  | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | |   (195)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.69/32.85  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.69/32.85  | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (35), (68), (72), (75), (141), (195) are
% 195.69/32.85  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #709.
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | |   (196)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.69/32.85  | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.69/32.85  | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | |   (197)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 195.69/32.85  | | | | | | | | | | | | | | | | | |   (198)  op(e1, e1) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (41), (76), (79), (85), (98), (104), (127),
% 195.69/32.85  | | | | | | | | | | | | | | | | | |            (198) are inconsistent by sub-proof #1580.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | |   (199)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 195.69/32.85  | | | | | | | | | | | | | | | | | |   (200)  op(e1, e0) = e0
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (36), (200) are inconsistent by
% 195.69/32.85  | | | | | | | | | | | | | | | | | |            sub-proof #1884.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | End of split
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | |   (201)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.85  | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.85  | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.85  | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.85  | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.85  | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.85  | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.85  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.85  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.85  | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.85  | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.85  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.85  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.85  | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.85  | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.85  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.85  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.85  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 195.69/32.85  | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | |   (202)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.85  | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.69/32.85  | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.69/32.85  | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.85  | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.69/32.85  | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.85  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.85  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.69/32.85  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 195.69/32.85  | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | |   (203)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.69/32.85  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.69/32.85  | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 195.69/32.85  | | | | | | | | | | | | | | | | | |   (204)  op(e3, e3) = e3
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (39), (43), (48), (50), (53), (64), (70),
% 195.69/32.85  | | | | | | | | | | | | | | | | | |            (82), (85), (98), (204) are inconsistent by
% 195.69/32.85  | | | | | | | | | | | | | | | | | |            sub-proof #1872.
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.85  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.85  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | |   (205)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.86  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 195.69/32.86  | | | | | | | | | | | | | | | | | |   (206)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (81), (98), (105), (206) are inconsistent by
% 195.69/32.86  | | | | | | | | | | | | | | | | | |            sub-proof #879.
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.86  | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | |   (207)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.86  | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.69/32.86  | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.86  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.86  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.86  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.69/32.86  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.69/32.86  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.69/32.86  | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.86  | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.69/32.86  | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.86  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.86  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.86  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.86  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.86  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.69/32.86  | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 195.69/32.86  | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | |   (208)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.69/32.86  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 195.69/32.86  | | | | | | | | | | | | | | | | | |   (209)  op(e1, e1) = e1
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (76), (81), (209) are inconsistent by
% 195.69/32.86  | | | | | | | | | | | | | | | | | |            sub-proof #1978.
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | |   (210)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.69/32.86  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.69/32.86  | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.69/32.86  | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.69/32.86  | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 195.69/32.86  | | | | | | | | | | | | | | | | | |   (211)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 195.69/32.86  | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.86  | | | | | | | | | | | | | | | | | |            $i(all_57_13))
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | |   (212)  all_54_4 = e1
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (212) imply:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | |   (213)  all_52_1 = e1
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | REDUCE: (54), (213) imply:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | |   (214)   ~ (all_52_13 = e1)
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | SIMP: (214) implies:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | |   (215)   ~ (all_52_13 = e1)
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | REDUCE: (95), (213) imply:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | |   (216)   ~ (e3 = e1)
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | REDUCE: (62), (213) imply:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | |   (217)   ~ (e2 = e1)
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | |   (218)  all_57_14 = e0 & op(e1, e1) = e0
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | |   (219)  op(e1, e1) = e0
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (41), (76), (79), (85), (98), (104), (127),
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | |            (219) are inconsistent by sub-proof #1580.
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | |   (220)   ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | ALPHA: (220) implies:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | |   (221)   ~ (all_57_13 = e1)
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | |   (222)  op(e1, e0) = all_57_13
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |   (223)  all_54_7 = e3
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (223) imply:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |   (224)  all_52_13 = e3
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | SIMP: (224) implies:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |   (225)  all_52_13 = e3
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (225) imply:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |   (226)   ~ (all_52_12 = e3)
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (10), (16), (18), (21), (32), (34),
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |            (38), (45), (47), (48), (49), (53), (56), (58),
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |            (59), (60), (62), (63), (64), (66), (67), (69),
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |            (74), (76), (80), (81), (82), (83), (85), (91),
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |            (98), (221), (222), (226) are inconsistent by
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |            sub-proof #711.
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |   (227)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (72), (140), (215), (227) are inconsistent by
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1375.
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | Case 2:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | |   (228)  all_54_4 = e0
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (228) imply:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | |   (229)  all_52_1 = e0
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | REDUCE: (11), (229) imply:
% 195.69/32.86  | | | | | | | | | | | | | | | | | | |   (230)  $false
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | CLOSE: (230) is inconsistent.
% 195.69/32.86  | | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | Case 2:
% 195.69/32.86  | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | |   (231)  all_54_13 = e1 | all_54_13 = e0
% 195.69/32.86  | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | | REF_CLOSE: (3), (28), (42), (231) are inconsistent by
% 195.69/32.86  | | | | | | | | | | | | | |            sub-proof #1652.
% 195.69/32.86  | | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | Case 2:
% 195.69/32.86  | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | |   (232)  all_54_6 = e1 | all_54_6 = e0
% 195.69/32.86  | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | | REF_CLOSE: (13), (19), (22), (232) are inconsistent by
% 195.69/32.86  | | | | | | | | | | | | |            sub-proof #708.
% 195.69/32.86  | | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | | 
% 195.69/32.86  | | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | | 
% 195.69/32.86  | | | | | | | | End of split
% 195.69/32.86  | | | | | | | | 
% 195.69/32.86  | | | | | | | End of split
% 195.69/32.86  | | | | | | | 
% 195.69/32.86  | | | | | | Case 2:
% 195.69/32.86  | | | | | | | 
% 195.69/32.86  | | | | | | |   (233)  all_56_13 = e1 & op(e0, e2) = e1
% 195.69/32.86  | | | | | | | 
% 195.69/32.86  | | | | | | | ALPHA: (233) implies:
% 195.69/32.86  | | | | | | |   (234)  op(e0, e2) = e1
% 195.69/32.86  | | | | | | | 
% 195.69/32.86  | | | | | | | REF_CLOSE: (18), (42), (80), (234) are inconsistent by sub-proof
% 195.69/32.86  | | | | | | |            #1649.
% 195.69/32.86  | | | | | | | 
% 195.69/32.86  | | | | | | End of split
% 195.69/32.86  | | | | | | 
% 195.69/32.86  | | | | | End of split
% 195.69/32.86  | | | | | 
% 195.69/32.86  | | | | End of split
% 195.69/32.86  | | | | 
% 195.69/32.86  | | | Case 2:
% 195.69/32.86  | | | | 
% 195.69/32.86  | | | |   (235)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.69/32.86  | | | | 
% 195.69/32.86  | | | | REF_CLOSE: (6), (12), (27), (66), (235) are inconsistent by sub-proof
% 195.69/32.86  | | | |            #707.
% 195.69/32.86  | | | | 
% 195.69/32.86  | | | End of split
% 195.69/32.86  | | | 
% 195.69/32.86  | | End of split
% 195.69/32.86  | | 
% 195.69/32.86  | End of split
% 195.69/32.86  | 
% 195.69/32.86  End of proof
% 195.69/32.86  
% 195.69/32.86  Sub-proof #707 shows that the following formulas are inconsistent:
% 195.69/32.86  ----------------------------------------------------------------
% 195.69/32.86    (1)   ~ (all_52_3 = e1)
% 195.69/32.86    (2)   ~ (all_52_3 = e2)
% 195.69/32.86    (3)  all_54_12 = all_52_3
% 195.69/32.86    (4)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.69/32.86    (5)   ~ (all_52_3 = e0)
% 195.69/32.86  
% 195.69/32.86  Begin of proof
% 195.69/32.86  | 
% 195.69/32.86  | BETA: splitting (4) gives:
% 195.69/32.86  | 
% 195.69/32.86  | Case 1:
% 195.69/32.86  | | 
% 195.69/32.86  | |   (6)  all_54_12 = e2
% 195.69/32.86  | | 
% 195.69/32.86  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #1465.
% 195.69/32.86  | | 
% 195.69/32.86  | Case 2:
% 195.69/32.86  | | 
% 195.69/32.86  | |   (7)  all_54_12 = e1 | all_54_12 = e0
% 195.69/32.86  | | 
% 195.69/32.86  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #845.
% 195.69/32.86  | | 
% 195.69/32.86  | End of split
% 195.69/32.86  | 
% 195.69/32.86  End of proof
% 195.69/32.86  
% 195.69/32.86  Sub-proof #708 shows that the following formulas are inconsistent:
% 195.69/32.86  ----------------------------------------------------------------
% 195.69/32.86    (1)  all_54_6 = e1 | all_54_6 = e0
% 195.69/32.86    (2)  all_54_6 = all_52_9
% 195.69/32.86    (3)   ~ (all_52_9 = e1)
% 195.69/32.86    (4)   ~ (all_52_9 = e0)
% 195.69/32.86  
% 195.69/32.86  Begin of proof
% 195.69/32.86  | 
% 195.69/32.86  | BETA: splitting (1) gives:
% 195.69/32.86  | 
% 195.69/32.86  | Case 1:
% 195.69/32.86  | | 
% 195.69/32.86  | |   (5)  all_54_6 = e1
% 195.69/32.86  | | 
% 195.69/32.86  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #795.
% 195.69/32.86  | | 
% 195.69/32.86  | Case 2:
% 195.69/32.86  | | 
% 195.69/32.86  | |   (6)  all_54_6 = e0
% 195.69/32.86  | | 
% 195.69/32.86  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1452.
% 195.69/32.86  | | 
% 195.69/32.86  | End of split
% 195.69/32.86  | 
% 195.69/32.86  End of proof
% 195.69/32.86  
% 195.69/32.86  Sub-proof #709 shows that the following formulas are inconsistent:
% 195.69/32.86  ----------------------------------------------------------------
% 195.69/32.86    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.86    (2)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.86           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.86           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.86                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.69/32.86               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.69/32.86               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.69/32.86           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.69/32.86             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.69/32.86               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.69/32.86           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.69/32.86               = all_57_4 & $i(all_57_4))))
% 195.69/32.86    (3)  op(e2, e0) = all_52_13
% 195.69/32.86    (4)  op(e2, e1) = all_52_9
% 195.69/32.86    (5)   ~ (all_52_13 = e0)
% 195.69/32.86    (6)   ~ (all_52_9 = all_52_13)
% 195.69/32.86    (7)  op(e2, e1) = e2
% 195.69/32.86  
% 195.69/32.86  Begin of proof
% 195.69/32.86  | 
% 195.69/32.86  | BETA: splitting (2) gives:
% 195.69/32.86  | 
% 195.69/32.86  | Case 1:
% 195.69/32.86  | | 
% 195.69/32.86  | |   (8)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.69/32.86  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.69/32.86  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.69/32.86  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 195.69/32.86  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.69/32.86  | |            all_57_13 & $i(all_57_13)))
% 195.69/32.86  | | 
% 195.69/32.86  | | ALPHA: (8) implies:
% 195.69/32.86  | |   (9)  op(e2, e0) = e2
% 195.69/32.86  | | 
% 195.69/32.86  | | REF_CLOSE: (1), (3), (4), (6), (7), (9) are inconsistent by sub-proof #1887.
% 195.69/32.86  | | 
% 195.69/32.86  | Case 2:
% 195.69/32.86  | | 
% 195.69/32.86  | |   (10)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.69/32.86  | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.69/32.86  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 195.69/32.86  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 195.69/32.86  | |             e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.69/32.86  | |             all_57_4 & $i(all_57_4)))
% 195.69/32.86  | | 
% 195.69/32.86  | | ALPHA: (10) implies:
% 195.69/32.86  | |   (11)  op(e2, e0) = e0
% 195.69/32.86  | | 
% 195.69/32.86  | | REF_CLOSE: (1), (3), (5), (11) are inconsistent by sub-proof #1173.
% 195.69/32.86  | | 
% 195.69/32.86  | End of split
% 195.69/32.86  | 
% 195.69/32.86  End of proof
% 195.69/32.86  
% 195.69/32.86  Sub-proof #710 shows that the following formulas are inconsistent:
% 195.69/32.86  ----------------------------------------------------------------
% 195.69/32.86    (1)   ~ (all_52_7 = e0)
% 195.69/32.86    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.69/32.86         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.69/32.86    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.69/32.86         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.69/32.86    (4)   ~ (e3 = e2)
% 195.69/32.86    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.86    (6)  op(e2, e2) = all_4_2
% 195.69/32.86    (7)  op(e0, e3) = all_52_3
% 195.69/32.86    (8)  op(e1, e0) = all_52_14
% 195.69/32.86    (9)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 195.69/32.86             e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.69/32.86           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0,
% 195.69/32.86             e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 & 
% 195.69/32.86               ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.69/32.86               op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 195.69/32.86               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.69/32.86               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.86               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.69/32.86                 e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.86               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 195.69/32.86               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 195.69/32.86                 e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.86               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.69/32.86                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.86               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.69/32.86               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 195.69/32.86                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.86               $i(all_57_7))))
% 195.69/32.86    (10)   ~ (all_52_14 = e1)
% 195.69/32.86    (11)   ~ (all_4_2 = e3)
% 195.69/32.86    (12)   ~ (e1 = e0)
% 195.69/32.86    (13)  all_56_2 = e1
% 195.69/32.86    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.69/32.86          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.69/32.86    (15)   ~ (e2 = e1)
% 195.69/32.86    (16)   ~ (all_52_3 = e0)
% 195.69/32.86    (17)  op(e2, e2) = e0
% 195.69/32.86    (18)   ~ (e3 = e1)
% 195.69/32.86    (19)  op(e0, e2) = all_52_7
% 195.69/32.86    (20)   ~ (e2 = e0)
% 195.69/32.86    (21)   ~ (e3 = e0)
% 195.69/32.86  
% 195.69/32.86  Begin of proof
% 195.69/32.86  | 
% 195.69/32.86  | BETA: splitting (9) gives:
% 195.69/32.86  | 
% 195.69/32.86  | Case 1:
% 195.69/32.86  | | 
% 195.69/32.86  | |   (22)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.86  | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1,
% 195.69/32.86  | |           e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.69/32.86  | | 
% 195.69/32.86  | | ALPHA: (22) implies:
% 195.69/32.86  | |   (23)  op(e1, e0) = e1
% 195.69/32.86  | | 
% 195.69/32.86  | | REF_CLOSE: (5), (8), (10), (23) are inconsistent by sub-proof #1958.
% 195.69/32.86  | | 
% 195.69/32.86  | Case 2:
% 195.69/32.86  | | 
% 195.69/32.86  | |   (24)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 195.69/32.86  | |             = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.86  | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.69/32.86  | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.86  | |             (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.69/32.86  | |             op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.69/32.86  | |             e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.86  | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.86  | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.86  | |             (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.86  | |             op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 195.69/32.86  | |             e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.69/32.86  | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.86  | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.86  | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.69/32.86  | |             op(e0, e1) = e0 & $i(all_57_7)))
% 195.69/32.86  | | 
% 195.69/32.86  | | ALPHA: (24) implies:
% 195.69/32.86  | |   (25)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 195.69/32.86  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.69/32.86  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.86  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.69/32.86  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 195.69/32.86  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.69/32.86  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.86  | |           $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.69/32.86  | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.69/32.86  | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.69/32.86  | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.69/32.86  | |           & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.86  | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 195.69/32.86  | |             = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 195.69/32.86  | |           e0 & $i(all_57_7))
% 195.69/32.86  | | 
% 195.69/32.86  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (11), (12), (13), (14), (15),
% 195.69/32.86  | |            (16), (17), (18), (19), (20), (21), (25) are inconsistent by
% 195.69/32.86  | |            sub-proof #712.
% 195.69/32.86  | | 
% 195.69/32.86  | End of split
% 195.69/32.86  | 
% 195.69/32.86  End of proof
% 195.69/32.86  
% 195.69/32.86  Sub-proof #711 shows that the following formulas are inconsistent:
% 195.69/32.86  ----------------------------------------------------------------
% 195.69/32.86    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.69/32.86         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.69/32.86    (2)   ~ (all_52_7 = e0)
% 195.69/32.86    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.69/32.86         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.69/32.86    (4)  op(e1, e0) = all_57_13
% 195.69/32.86    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.69/32.86         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.69/32.86    (6)   ~ (e3 = e2)
% 195.69/32.86    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.69/32.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.69/32.86    (8)   ~ (all_57_13 = e1)
% 195.69/32.86    (9)  op(e2, e2) = all_4_2
% 195.69/32.86    (10)  op(e2, e0) = e3
% 195.69/32.86    (11)  all_56_13 = e2
% 195.69/32.86    (12)  op(e0, e3) = all_52_3
% 195.69/32.86    (13)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.69/32.86              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.69/32.86            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.69/32.86            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.69/32.86            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.69/32.86            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.86            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.69/32.86            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.86            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.69/32.86            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.86            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.86            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.69/32.86            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.86            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.69/32.86            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.86            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.69/32.86            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.86            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.69/32.86            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.69/32.86            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.86            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.69/32.86            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.86            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.86            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.69/32.86            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.86            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.86            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.86            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.86            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.86            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.69/32.86            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.69/32.86            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.69/32.86            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.69/32.86            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.86            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.86            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.86            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.86            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.86            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.69/32.86            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.86            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.86            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.69/32.86            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.86            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.86            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.69/32.86            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.86            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.69/32.86            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.69/32.86              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.86            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.86            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.69/32.86              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.69/32.86            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.86            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.69/32.86                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.86                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.86                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.69/32.86                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.69/32.86                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.69/32.86                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.86                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.86              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.69/32.86                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.69/32.86                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.86                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.69/32.86                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.69/32.86                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.69/32.86                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.86                $i(all_57_7))))
% 195.69/32.86    (14)   ~ (all_52_12 = e3)
% 195.69/32.86    (15)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 195.69/32.86            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 195.69/32.86              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 195.69/32.86    (16)   ~ (all_4_2 = e3)
% 195.69/32.86    (17)  op(e3, e2) = e3
% 195.69/32.86    (18)  op(e3, e3) = e2
% 195.69/32.86    (19)   ~ (e1 = e0)
% 195.69/32.86    (20)  all_56_2 = e1
% 195.69/32.86    (21)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.69/32.86          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.69/32.86    (22)  all_56_14 = e1
% 195.69/32.86    (23)  all_36_2 = e0
% 195.69/32.86    (24)   ~ (all_52_1 = e2)
% 195.69/32.86    (25)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.69/32.86              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.69/32.86                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.69/32.86                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.69/32.86    (26)   ~ (e2 = e1)
% 195.69/32.86    (27)   ~ (all_52_3 = e0)
% 195.69/32.86    (28)  op(e3, e0) = all_52_12
% 195.69/32.86    (29)  op(e0, e0) = e0
% 195.69/32.86    (30)  op(e2, e2) = e0
% 195.69/32.86    (31)   ~ (e3 = e1)
% 195.69/32.86    (32)  op(e0, e2) = all_52_7
% 195.69/32.86    (33)  op(e1, e1) = e3
% 195.69/32.86    (34)   ~ (e2 = e0)
% 195.69/32.86    (35)  op(e2, e3) = all_52_1
% 195.69/32.86    (36)   ~ (e3 = e0)
% 195.69/32.86  
% 195.69/32.86  Begin of proof
% 195.69/32.86  | 
% 195.69/32.86  | BETA: splitting (15) gives:
% 195.69/32.86  | 
% 195.69/32.86  | Case 1:
% 195.69/32.86  | | 
% 195.69/32.86  | |   (37)   ~ (all_36_2 = e0)
% 195.69/32.86  | | 
% 195.69/32.86  | | REDUCE: (23), (37) imply:
% 195.69/32.86  | |   (38)  $false
% 195.69/32.86  | | 
% 195.69/32.86  | | CLOSE: (38) is inconsistent.
% 195.69/32.86  | | 
% 195.69/32.86  | Case 2:
% 195.69/32.86  | | 
% 195.69/32.86  | |   (39)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0) =
% 195.69/32.86  | |           all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e3) &
% 195.69/32.86  | |           op(e2, e0) = all_36_1 & $i(all_36_1))
% 195.69/32.86  | | 
% 195.69/32.86  | | BETA: splitting (13) gives:
% 195.69/32.86  | | 
% 195.69/32.86  | | Case 1:
% 195.69/32.86  | | | 
% 195.69/32.86  | | |   (40)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.86  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.69/32.86  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.69/32.86  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 195.69/32.86  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.69/32.86  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.69/32.86  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 195.69/32.86  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.69/32.86  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.69/32.86  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 195.69/32.86  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.69/32.86  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 195.69/32.86  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) | (all_57_3 =
% 195.69/32.86  | | |           e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 = e2) &
% 195.69/32.86  | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4
% 195.69/32.86  | | |           & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3 =
% 195.69/32.86  | | |           e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.69/32.86  | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5
% 195.69/32.86  | | |           & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 =
% 195.69/32.86  | | |           e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.69/32.86  | | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 195.69/32.86  | | |           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.69/32.86  | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.69/32.86  | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.86  | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.69/32.86  | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7
% 195.69/32.86  | | |             = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 195.69/32.86  | | |             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.69/32.86  | | |           $i(all_57_7) & $i(all_57_10))
% 195.69/32.86  | | | 
% 195.69/32.86  | | | BETA: splitting (40) gives:
% 195.69/32.86  | | | 
% 195.69/32.86  | | | Case 1:
% 195.69/32.86  | | | | 
% 195.69/32.86  | | | |   (41)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.86  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.69/32.86  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.69/32.86  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.69/32.86  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.86  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.69/32.86  | | | |           e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.69/32.86  | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 195.69/32.86  | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.69/32.86  | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.69/32.86  | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 195.69/32.86  | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.69/32.86  | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.69/32.86  | | | |           $i(all_57_14))
% 195.69/32.86  | | | | 
% 195.69/32.86  | | | | BETA: splitting (41) gives:
% 195.69/32.86  | | | | 
% 195.69/32.86  | | | | Case 1:
% 195.69/32.86  | | | | | 
% 195.69/32.86  | | | | |   (42)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.69/32.86  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 195.69/32.86  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.69/32.86  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.69/32.86  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.69/32.86  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 195.69/32.86  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12))
% 195.69/32.86  | | | | | 
% 195.69/32.86  | | | | | REF_CLOSE: (7), (24), (35), (42) are inconsistent by sub-proof #1784.
% 195.69/32.86  | | | | | 
% 195.69/32.86  | | | | Case 2:
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | |   (43)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.87  | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.69/32.87  | | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.69/32.87  | | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.69/32.87  | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.69/32.87  | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0)
% 195.69/32.87  | | | | |           = e3 & $i(all_57_2) & $i(all_57_14))
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | | REF_CLOSE: (7), (9), (16), (33), (43) are inconsistent by sub-proof
% 195.69/32.87  | | | | |            #733.
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | End of split
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | Case 2:
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | |   (44)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.87  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.69/32.87  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.87  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.87  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 195.69/32.87  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.69/32.87  | | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 =
% 195.69/32.87  | | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) =
% 195.69/32.87  | | | |           e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.69/32.87  | | | |           all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.69/32.87  | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 195.69/32.87  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.69/32.87  | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.69/32.87  | | | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.87  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.87  | | | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.69/32.87  | | | |           $i(all_57_10))
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | | BETA: splitting (44) gives:
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | | Case 1:
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | |   (45)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.87  | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3
% 195.69/32.87  | | | | |           & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.69/32.87  | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.69/32.87  | | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.69/32.87  | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 195.69/32.87  | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | | REF_CLOSE: (7), (18), (45) are inconsistent by sub-proof #798.
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | Case 2:
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | |   (46)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.87  | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.69/32.87  | | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.69/32.87  | | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 195.69/32.87  | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.69/32.87  | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.69/32.87  | | | | |           = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.69/32.87  | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 195.69/32.87  | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.69/32.87  | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | | REF_CLOSE: (1), (6), (7), (11), (17), (19), (22), (25), (30), (31),
% 195.69/32.87  | | | | |            (34), (36), (46) are inconsistent by sub-proof #714.
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | End of split
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | End of split
% 195.69/32.87  | | | 
% 195.69/32.87  | | Case 2:
% 195.69/32.87  | | | 
% 195.69/32.87  | | |   (47)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.87  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.87  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.87  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 195.69/32.87  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.69/32.87  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.69/32.87  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 195.69/32.87  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.69/32.87  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 195.69/32.87  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 195.69/32.87  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.69/32.87  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.69/32.87  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 195.69/32.87  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.87  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.87  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.69/32.87  | | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9
% 195.69/32.87  | | |             = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.69/32.87  | | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.69/32.87  | | |           $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1
% 195.69/32.87  | | |           &  ~ (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.69/32.87  | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 195.69/32.87  | | |           & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.69/32.87  | | |           e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.69/32.87  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 195.69/32.87  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.69/32.87  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.69/32.87  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.69/32.87  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.69/32.87  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.69/32.87  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.69/32.87  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.87  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.87  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.69/32.87  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 195.69/32.87  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.69/32.87  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.69/32.87  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.69/32.87  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 195.69/32.87  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.87  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.87  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.69/32.87  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.69/32.87  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.69/32.87  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.69/32.87  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.87  | | | 
% 195.69/32.87  | | | BETA: splitting (47) gives:
% 195.69/32.87  | | | 
% 195.69/32.87  | | | Case 1:
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | |   (48)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.69/32.87  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.69/32.87  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.69/32.87  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.69/32.87  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.69/32.87  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.69/32.87  | | | |           e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.69/32.87  | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 195.69/32.87  | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.69/32.87  | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.69/32.87  | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.69/32.87  | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.69/32.87  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.69/32.87  | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.69/32.87  | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.69/32.87  | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.69/32.87  | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | | REF_CLOSE: (3), (5), (6), (7), (14), (19), (20), (21), (26), (28), (29),
% 195.69/32.87  | | | |            (31), (34), (36), (48) are inconsistent by sub-proof #713.
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | Case 2:
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | |   (49)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.87  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.87  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.87  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.69/32.87  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.69/32.87  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.69/32.87  | | | |           e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 195.69/32.87  | | | |           all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.69/32.87  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.69/32.87  | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 195.69/32.87  | | | |         (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.87  | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.69/32.87  | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.69/32.87  | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.69/32.87  | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.69/32.87  | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 195.69/32.87  | | | |               & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.69/32.87  | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.69/32.87  | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 195.69/32.87  | | | |               e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.87  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.69/32.87  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.69/32.87  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.69/32.87  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.69/32.87  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.69/32.87  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.69/32.87  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.69/32.87  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.87  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.69/32.87  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | | BETA: splitting (49) gives:
% 195.69/32.87  | | | | 
% 195.69/32.87  | | | | Case 1:
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | |   (50)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.69/32.87  | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.69/32.87  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.69/32.87  | | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.69/32.87  | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.69/32.87  | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 195.69/32.87  | | | | |           = e1 & $i(all_57_9) & $i(all_57_14))
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | | REF_CLOSE: (7), (18), (34), (50) are inconsistent by sub-proof #819.
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | Case 2:
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | |   (51)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.69/32.87  | | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.87  | | | | |           & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.87  | | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 195.69/32.87  | | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.69/32.87  | | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0)
% 195.69/32.87  | | | | |           = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.69/32.87  | | | | |           all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.69/32.87  | | | | |               &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3)
% 195.69/32.87  | | | | |               = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.87  | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.87  | | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.69/32.87  | | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.87  | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.87  | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.69/32.87  | | | | |               & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.87  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.69/32.87  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.87  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.87  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.87  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.69/32.87  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.87  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.87  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.69/32.87  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.87  | | | | |               $i(all_57_7))))
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | | BETA: splitting (51) gives:
% 195.69/32.87  | | | | | 
% 195.69/32.87  | | | | | Case 1:
% 195.69/32.87  | | | | | | 
% 195.69/32.87  | | | | | |   (52)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.69/32.87  | | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.69/32.87  | | | | | |         & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.69/32.87  | | | | | |         $i(all_57_13)
% 195.69/32.87  | | | | | | 
% 195.69/32.87  | | | | | | ALPHA: (52) implies:
% 195.69/32.87  | | | | | |   (53)  op(e2, e0) = e2
% 195.69/32.87  | | | | | | 
% 195.69/32.87  | | | | | | REF_CLOSE: (6), (7), (10), (39), (53) are inconsistent by sub-proof
% 195.69/32.87  | | | | | |            #1707.
% 195.69/32.87  | | | | | | 
% 195.69/32.87  | | | | | Case 2:
% 195.69/32.87  | | | | | | 
% 195.69/32.87  | | | | | |   (54)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.87  | | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 195.69/32.87  | | | | | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.87  | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.69/32.87  | | | | | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 195.69/32.87  | | | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.69/32.87  | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.69/32.87  | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.69/32.87  | | | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.69/32.87  | | | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.69/32.87  | | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.69/32.87  | | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.69/32.87  | | | | | |               e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.69/32.87  | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.69/32.87  | | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.69/32.87  | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.69/32.87  | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.69/32.87  | | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.69/32.87  | | | | | |               e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.69/32.87  | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.69/32.87  | | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.69/32.87  | | | | | |               e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.69/32.87  | | | | | |               $i(all_57_7))))
% 195.69/32.87  | | | | | | 
% 195.69/32.87  | | | | | | BETA: splitting (54) gives:
% 195.69/32.87  | | | | | | 
% 195.69/32.87  | | | | | | Case 1:
% 195.69/32.87  | | | | | | | 
% 195.69/32.87  | | | | | | |   (55)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.69/32.87  | | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 195.69/32.87  | | | | | | |         all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.69/32.87  | | | | | | |         $i(all_57_11) & $i(all_57_14)
% 195.69/32.87  | | | | | | | 
% 195.69/32.87  | | | | | | | ALPHA: (55) implies:
% 195.69/32.87  | | | | | | |   (56)  op(e1, e0) = e1
% 195.69/32.87  | | | | | | | 
% 195.69/32.87  | | | | | | | REF_CLOSE: (4), (7), (8), (56) are inconsistent by sub-proof
% 195.69/32.87  | | | | | | |            #1437.
% 195.69/32.87  | | | | | | | 
% 195.69/32.87  | | | | | | Case 2:
% 195.69/32.87  | | | | | | | 
% 195.82/32.87  | | | | | | |   (57)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.82/32.87  | | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.82/32.87  | | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.82/32.87  | | | | | | |             op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.82/32.87  | | | | | | |             all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.82/32.87  | | | | | | |               e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.82/32.87  | | | | | | |             op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.82/32.87  | | | | | | |             all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.82/32.87  | | | | | | |               e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.82/32.87  | | | | | | |             op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 195.82/32.87  | | | | | | |             all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.82/32.87  | | | | | | |               e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.82/32.87  | | | | | | |             op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.82/32.87  | | | | | | |             all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.82/32.87  | | | | | | |               e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.82/32.87  | | | | | | |             op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.82/32.87  | | | | | | |             all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.82/32.87  | | | | | | |               e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.82/32.87  | | | | | | |             op(e0, e1) = e0 & $i(all_57_7)))
% 195.82/32.87  | | | | | | | 
% 195.82/32.87  | | | | | | | ALPHA: (57) implies:
% 195.82/32.87  | | | | | | |   (58)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.82/32.87  | | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.82/32.87  | | | | | | |           e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.82/32.87  | | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.82/32.87  | | | | | | |             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.82/32.87  | | | | | | |             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.82/32.87  | | | | | | |           = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.82/32.87  | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.82/32.87  | | | | | | |           $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.82/32.87  | | | | | | |           (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.82/32.87  | | | | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.82/32.87  | | | | | | |           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.82/32.87  | | | | | | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.82/32.87  | | | | | | |           & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.82/32.87  | | | | | | |           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.82/32.87  | | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.82/32.87  | | | | | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.82/32.87  | | | | | | |           $i(all_57_7))
% 195.82/32.87  | | | | | | | 
% 195.82/32.87  | | | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (9), (12), (16), (19), (20),
% 195.82/32.87  | | | | | | |            (21), (26), (27), (30), (31), (32), (34), (36), (58)
% 195.82/32.87  | | | | | | |            are inconsistent by sub-proof #712.
% 195.82/32.87  | | | | | | | 
% 195.82/32.87  | | | | | | End of split
% 195.82/32.87  | | | | | | 
% 195.82/32.87  | | | | | End of split
% 195.82/32.87  | | | | | 
% 195.82/32.87  | | | | End of split
% 195.82/32.87  | | | | 
% 195.82/32.87  | | | End of split
% 195.82/32.87  | | | 
% 195.82/32.87  | | End of split
% 195.82/32.87  | | 
% 195.82/32.87  | End of split
% 195.82/32.87  | 
% 195.82/32.87  End of proof
% 195.82/32.87  
% 195.82/32.87  Sub-proof #712 shows that the following formulas are inconsistent:
% 195.82/32.87  ----------------------------------------------------------------
% 195.82/32.87    (1)   ~ (all_52_7 = e0)
% 195.82/32.87    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.82/32.87         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.82/32.87    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.82/32.87         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.82/32.87    (4)   ~ (e3 = e2)
% 195.82/32.87    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.87    (6)  op(e2, e2) = all_4_2
% 195.82/32.87    (7)  op(e0, e3) = all_52_3
% 195.82/32.87    (8)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.82/32.87             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.82/32.87           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.82/32.87           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.82/32.87             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.82/32.87           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.82/32.87           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.82/32.87           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.82/32.87           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.82/32.87           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.82/32.87           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.82/32.87         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.82/32.87             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.82/32.87           $i(all_57_7))
% 195.82/32.87    (9)   ~ (all_4_2 = e3)
% 195.82/32.87    (10)   ~ (e1 = e0)
% 195.82/32.87    (11)  all_56_2 = e1
% 195.82/32.87    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.82/32.87          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.82/32.87    (13)   ~ (e2 = e1)
% 195.82/32.87    (14)   ~ (all_52_3 = e0)
% 195.82/32.87    (15)  op(e2, e2) = e0
% 195.82/32.87    (16)   ~ (e3 = e1)
% 195.82/32.87    (17)  op(e0, e2) = all_52_7
% 195.82/32.87    (18)   ~ (e2 = e0)
% 195.82/32.87    (19)   ~ (e3 = e0)
% 195.82/32.87  
% 195.82/32.87  Begin of proof
% 195.82/32.87  | 
% 195.82/32.87  | BETA: splitting (8) gives:
% 195.82/32.87  | 
% 195.82/32.87  | Case 1:
% 195.82/32.87  | | 
% 195.82/32.87  | |   (20)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 195.82/32.87  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.82/32.87  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.82/32.87  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.82/32.87  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 195.82/32.87  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.82/32.87  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.82/32.87  | |           $i(all_57_3))
% 195.82/32.87  | | 
% 195.82/32.87  | | REF_CLOSE: (1), (5), (6), (7), (9), (14), (17), (20) are inconsistent by
% 195.82/32.87  | |            sub-proof #816.
% 195.82/32.87  | | 
% 195.82/32.87  | Case 2:
% 195.82/32.87  | | 
% 195.82/32.87  | |   (21)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.82/32.87  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.82/32.87  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.82/32.87  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.82/32.87  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.82/32.87  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.82/32.87  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.82/32.87  | |           $i(all_57_7))
% 195.82/32.87  | | 
% 195.82/32.87  | | BETA: splitting (21) gives:
% 195.82/32.87  | | 
% 195.82/32.87  | | Case 1:
% 195.82/32.87  | | | 
% 195.82/32.87  | | |   (22)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.82/32.87  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.82/32.87  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 195.82/32.87  | | | 
% 195.82/32.87  | | | ALPHA: (22) implies:
% 195.82/32.87  | | |   (23)  op(e0, e2) = e0
% 195.82/32.87  | | | 
% 195.82/32.87  | | | REF_CLOSE: (1), (5), (17), (23) are inconsistent by sub-proof #818.
% 195.82/32.87  | | | 
% 195.82/32.87  | | Case 2:
% 195.82/32.87  | | | 
% 195.82/32.87  | | |   (24)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.82/32.87  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.82/32.87  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.82/32.87  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.82/32.87  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.82/32.87  | | | 
% 195.82/32.87  | | | BETA: splitting (24) gives:
% 195.82/32.87  | | | 
% 195.82/32.87  | | | Case 1:
% 195.82/32.87  | | | | 
% 195.82/32.87  | | | |   (25)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.82/32.87  | | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.82/32.87  | | | |         op(e0, e1) = e0 & $i(all_57_6)
% 195.82/32.87  | | | | 
% 195.82/32.87  | | | | ALPHA: (25) implies:
% 195.82/32.87  | | | |   (26)  op(e3, e3) = e1
% 195.82/32.87  | | | | 
% 195.82/32.87  | | | | REF_CLOSE: (2), (3), (4), (5), (10), (11), (12), (13), (16), (18), (19),
% 195.82/32.87  | | | |            (26) are inconsistent by sub-proof #1844.
% 195.82/32.87  | | | | 
% 195.82/32.87  | | | Case 2:
% 195.82/32.87  | | | | 
% 195.82/32.87  | | | |   (27)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.82/32.87  | | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.82/32.87  | | | |         op(e0, e1) = e0 & $i(all_57_7)
% 195.82/32.87  | | | | 
% 195.82/32.87  | | | | ALPHA: (27) implies:
% 195.82/32.87  | | | |   (28)  op(e2, e2) = e1
% 195.82/32.87  | | | | 
% 195.82/32.87  | | | | REF_CLOSE: (5), (10), (15), (28) are inconsistent by sub-proof #1909.
% 195.82/32.87  | | | | 
% 195.82/32.87  | | | End of split
% 195.82/32.87  | | | 
% 195.82/32.87  | | End of split
% 195.82/32.87  | | 
% 195.82/32.87  | End of split
% 195.82/32.87  | 
% 195.82/32.87  End of proof
% 195.82/32.87  
% 195.82/32.87  Sub-proof #713 shows that the following formulas are inconsistent:
% 195.82/32.87  ----------------------------------------------------------------
% 195.82/32.87    (1)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 195.82/32.87             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.82/32.87           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 195.82/32.87           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.82/32.87           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 195.82/32.87           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.82/32.87           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 195.82/32.87           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 195.82/32.87           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 195.82/32.87           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 195.82/32.87           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.82/32.87           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.82/32.87           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.82/32.87           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.82/32.87           $i(all_57_10) & $i(all_57_13))
% 195.82/32.87    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.82/32.87         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.82/32.87    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.82/32.87         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.82/32.87    (4)   ~ (e3 = e2)
% 195.82/32.87    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.87    (6)   ~ (all_52_12 = e3)
% 195.82/32.87    (7)   ~ (e1 = e0)
% 195.82/32.87    (8)  all_56_2 = e1
% 195.82/32.87    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.82/32.87         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.82/32.87    (10)   ~ (e2 = e1)
% 195.82/32.87    (11)  op(e3, e0) = all_52_12
% 195.82/32.87    (12)  op(e0, e0) = e0
% 195.82/32.87    (13)   ~ (e3 = e1)
% 195.82/32.87    (14)   ~ (e2 = e0)
% 195.82/32.87    (15)   ~ (e3 = e0)
% 195.82/32.87  
% 195.82/32.87  Begin of proof
% 195.82/32.87  | 
% 195.82/32.87  | BETA: splitting (1) gives:
% 195.82/32.87  | 
% 195.82/32.87  | Case 1:
% 195.82/32.87  | | 
% 195.82/32.87  | |   (16)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 195.82/32.87  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.82/32.87  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 195.82/32.87  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 195.82/32.87  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.82/32.87  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 195.82/32.87  | | 
% 195.82/32.87  | | BETA: splitting (16) gives:
% 195.82/32.87  | | 
% 195.82/32.87  | | Case 1:
% 195.82/32.87  | | | 
% 195.82/32.87  | | |   (17)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.82/32.87  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.82/32.87  | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.82/32.87  | | |         $i(all_57_10)
% 195.82/32.87  | | | 
% 195.82/32.87  | | | ALPHA: (17) implies:
% 195.82/32.87  | | |   (18)  op(e0, e0) = e1
% 195.82/32.87  | | | 
% 195.82/32.87  | | | REF_CLOSE: (5), (7), (12), (18) are inconsistent by sub-proof #1943.
% 195.82/32.87  | | | 
% 195.82/32.87  | | Case 2:
% 195.82/32.87  | | | 
% 195.82/32.87  | | |   (19)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.82/32.87  | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.82/32.87  | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.82/32.87  | | |         $i(all_57_12)
% 195.82/32.87  | | | 
% 195.82/32.87  | | | ALPHA: (19) implies:
% 195.82/32.87  | | |   (20)  op(e3, e3) = e1
% 195.82/32.87  | | | 
% 195.82/32.87  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (13), (14), (15), (20)
% 195.82/32.87  | | |            are inconsistent by sub-proof #1844.
% 195.82/32.87  | | | 
% 195.82/32.87  | | End of split
% 195.82/32.87  | | 
% 195.82/32.87  | Case 2:
% 195.82/32.87  | | 
% 195.82/32.87  | |   (21)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 195.82/32.87  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.82/32.87  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.82/32.87  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.82/32.87  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.82/32.87  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.82/32.87  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 195.82/32.87  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 195.82/32.87  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.82/32.87  | |           $i(all_57_13))
% 195.82/32.87  | | 
% 195.82/32.87  | | REF_CLOSE: (5), (6), (7), (11), (12), (21) are inconsistent by sub-proof
% 195.82/32.87  | |            #1828.
% 195.82/32.87  | | 
% 195.82/32.87  | End of split
% 195.82/32.87  | 
% 195.82/32.87  End of proof
% 195.82/32.87  
% 195.82/32.87  Sub-proof #714 shows that the following formulas are inconsistent:
% 195.82/32.87  ----------------------------------------------------------------
% 195.82/32.87    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.82/32.87         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.82/32.87    (2)   ~ (e3 = e2)
% 195.82/32.87    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.87    (4)  all_56_13 = e2
% 195.82/32.87    (5)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 195.82/32.87             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 195.82/32.87           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 195.82/32.87           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 195.82/32.87             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 195.82/32.87             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 195.82/32.87           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.82/32.87           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.82/32.87           $i(all_57_7) & $i(all_57_10))
% 195.82/32.87    (6)  op(e3, e2) = e3
% 195.82/32.87    (7)   ~ (e1 = e0)
% 195.82/32.87    (8)  all_56_14 = e1
% 195.82/32.87    (9)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.82/32.87             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 195.82/32.87               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.82/32.87               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.82/32.87    (10)  op(e2, e2) = e0
% 195.82/32.87    (11)   ~ (e3 = e1)
% 195.82/32.87    (12)   ~ (e2 = e0)
% 195.82/32.87    (13)   ~ (e3 = e0)
% 195.82/32.87  
% 195.82/32.87  Begin of proof
% 195.82/32.87  | 
% 195.82/32.87  | BETA: splitting (5) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (14)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 195.82/32.88  | |           = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 195.82/32.88  | |         & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (14) implies:
% 195.82/32.88  | |   (15)   ~ (all_57_3 = e3)
% 195.82/32.88  | |   (16)  op(e3, e2) = all_57_3
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (3), (6), (15), (16) are inconsistent by sub-proof #1889.
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (17)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.82/32.88  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.82/32.88  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.82/32.88  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.82/32.88  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.82/32.88  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.82/32.88  | | 
% 195.82/32.88  | | BETA: splitting (17) gives:
% 195.82/32.88  | | 
% 195.82/32.88  | | Case 1:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (18)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.82/32.88  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.82/32.88  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.82/32.88  | | |         $i(all_57_14)
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (18) implies:
% 195.82/32.88  | | |   (19)  op(e0, e0) = e2
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (11), (12), (13), (19) are
% 195.82/32.88  | | |            inconsistent by sub-proof #1122.
% 195.82/32.88  | | | 
% 195.82/32.88  | | Case 2:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (20)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.82/32.88  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.82/32.88  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.82/32.88  | | |         $i(all_57_10)
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (20) implies:
% 195.82/32.88  | | |   (21)  op(e2, e2) = e1
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (3), (7), (10), (21) are inconsistent by sub-proof #1909.
% 195.82/32.88  | | | 
% 195.82/32.88  | | End of split
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #715 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  all_54_9 = all_52_6
% 195.82/32.88    (2)  all_54_9 = e3
% 195.82/32.88    (3)   ~ (all_52_6 = e3)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | COMBINE_EQS: (1), (2) imply:
% 195.82/32.88  |   (4)  all_52_6 = e3
% 195.82/32.88  | 
% 195.82/32.88  | SIMP: (4) implies:
% 195.82/32.88  |   (5)  all_52_6 = e3
% 195.82/32.88  | 
% 195.82/32.88  | REDUCE: (3), (5) imply:
% 195.82/32.88  |   (6)  $false
% 195.82/32.88  | 
% 195.82/32.88  | CLOSE: (6) is inconsistent.
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #716 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  op(e1, e2) = e1
% 195.82/32.88    (2)   ~ (e3 = e2)
% 195.82/32.88    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.88    (4)  op(e2, e2) = all_4_2
% 195.82/32.88    (5)   ~ (all_4_2 = e3)
% 195.82/32.88    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.82/32.88           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.82/32.88           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.82/32.88                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.82/32.88               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.82/32.88               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.82/32.88           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.82/32.88           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.82/32.88               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.82/32.88           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.82/32.88               = all_57_2 & $i(all_57_2))))
% 195.82/32.88    (7)  op(e1, e1) = e3
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | BETA: splitting (6) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (8)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.82/32.88  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.82/32.88  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.82/32.88  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 195.82/32.88  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 195.82/32.88  | |            & $i(all_57_5)))
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (8) implies:
% 195.82/32.88  | |   (9)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.82/32.88  | |          = all_57_4 & $i(all_57_4))
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (1), (2), (3), (7), (9) are inconsistent by sub-proof #879.
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (10)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 195.82/32.88  | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.82/32.88  | |         $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 195.82/32.88  | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 195.82/32.88  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.82/32.88  | |             all_57_2 & $i(all_57_2)))
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (10) implies:
% 195.82/32.88  | |   (11)  op(e2, e2) = e3
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (3), (4), (5), (11) are inconsistent by sub-proof #1975.
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #717 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.88    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 195.82/32.88    (3)  op(e3, e2) = e3
% 195.82/32.88    (4)   ~ (e1 = e0)
% 195.82/32.88    (5)  op(e2, e2) = e0
% 195.82/32.88    (6)   ~ (e3 = e1)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | BETA: splitting (2) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (7)  all_56_1 = e1 & op(e3, e2) = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (7) implies:
% 195.82/32.88  | |   (8)  op(e3, e2) = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #739.
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (9) implies:
% 195.82/32.88  | |   (10)  op(e2, e2) = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1909.
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #718 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  all_56_4 = e1 & op(e3, e1) = e1
% 195.82/32.88    (2)  all_56_4 = e0
% 195.82/32.88    (3)   ~ (e1 = e0)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | ALPHA: (1) implies:
% 195.82/32.88  |   (4)  all_56_4 = e1
% 195.82/32.88  | 
% 195.82/32.88  | COMBINE_EQS: (2), (4) imply:
% 195.82/32.88  |   (5)  e1 = e0
% 195.82/32.88  | 
% 195.82/32.88  | REDUCE: (3), (5) imply:
% 195.82/32.88  |   (6)  $false
% 195.82/32.88  | 
% 195.82/32.88  | CLOSE: (6) is inconsistent.
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #719 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.82/32.88         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.82/32.88    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.82/32.88         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.82/32.88    (3)   ~ (e3 = e2)
% 195.82/32.88    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.88    (5)  op(e3, e2) = e3
% 195.82/32.88    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 195.82/32.88    (7)   ~ (e1 = e0)
% 195.82/32.88    (8)  all_56_2 = e1
% 195.82/32.88    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.82/32.88         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.82/32.88    (10)   ~ (e2 = e1)
% 195.82/32.88    (11)   ~ (e3 = e1)
% 195.82/32.88    (12)   ~ (e2 = e0)
% 195.82/32.88    (13)   ~ (e3 = e0)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | BETA: splitting (6) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (14)  all_56_0 = e1 & op(e3, e3) = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (14) implies:
% 195.82/32.88  | |   (15)  op(e3, e3) = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (11), (12), (13), (15)
% 195.82/32.88  | |            are inconsistent by sub-proof #1844.
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (16)  all_56_1 = e1 & op(e3, e2) = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (16) implies:
% 195.82/32.88  | |   (17)  op(e3, e2) = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (4), (5), (11), (17) are inconsistent by sub-proof #739.
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #720 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  all_54_14 = all_20_0
% 195.82/32.88    (2)  all_54_14 = e2
% 195.82/32.88    (3)   ~ (all_20_0 = e2)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | COMBINE_EQS: (1), (2) imply:
% 195.82/32.88  |   (4)  all_20_0 = e2
% 195.82/32.88  | 
% 195.82/32.88  | SIMP: (4) implies:
% 195.82/32.88  |   (5)  all_20_0 = e2
% 195.82/32.88  | 
% 195.82/32.88  | REDUCE: (3), (5) imply:
% 195.82/32.88  |   (6)  $false
% 195.82/32.88  | 
% 195.82/32.88  | CLOSE: (6) is inconsistent.
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #721 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.82/32.88         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.82/32.88    (2)   ~ (e3 = e2)
% 195.82/32.88    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.88    (4)  all_56_13 = e2
% 195.82/32.88    (5)  op(e3, e3) = e2
% 195.82/32.88    (6)   ~ (e1 = e0)
% 195.82/32.88    (7)  all_56_2 = e1
% 195.82/32.88    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.82/32.88         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.82/32.88    (9)   ~ (e2 = e1)
% 195.82/32.88    (10)   ~ (e3 = e1)
% 195.82/32.88    (11)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.82/32.88    (12)   ~ (e2 = e0)
% 195.82/32.88    (13)   ~ (e3 = e0)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | BETA: splitting (11) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (14)  all_56_12 = e1 & op(e0, e3) = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (14) implies:
% 195.82/32.88  | |   (15)  all_56_12 = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (12), (13), (15) are
% 195.82/32.88  | |            inconsistent by sub-proof #802.
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (16)  all_56_13 = e1 & op(e0, e2) = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (16) implies:
% 195.82/32.88  | |   (17)  all_56_13 = e1
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (4), (9), (17) are inconsistent by sub-proof #1916.
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #722 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  all_54_14 = all_20_0
% 195.82/32.88    (2)  all_54_14 = e3
% 195.82/32.88    (3)   ~ (all_20_0 = e3)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | COMBINE_EQS: (1), (2) imply:
% 195.82/32.88  |   (4)  all_20_0 = e3
% 195.82/32.88  | 
% 195.82/32.88  | SIMP: (4) implies:
% 195.82/32.88  |   (5)  all_20_0 = e3
% 195.82/32.88  | 
% 195.82/32.88  | REDUCE: (3), (5) imply:
% 195.82/32.88  |   (6)  $false
% 195.82/32.88  | 
% 195.82/32.88  | CLOSE: (6) is inconsistent.
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #723 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)   ~ (e3 = e2)
% 195.82/32.88    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.88    (3)  op(e2, e2) = all_4_2
% 195.82/32.88    (4)  all_56_10 = e3
% 195.82/32.88    (5)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 195.82/32.88           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 195.82/32.88             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 195.82/32.88    (6)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.82/32.88         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 195.82/32.88    (7)   ~ (all_4_2 = e3)
% 195.82/32.88    (8)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.82/32.88         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 195.82/32.88    (9)   ~ (e1 = e0)
% 195.82/32.88    (10)  all_36_2 = e0
% 195.82/32.88    (11)   ~ (e2 = e1)
% 195.82/32.88    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.82/32.88          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.82/32.88    (13)  all_56_2 = e0
% 195.82/32.88    (14)  op(e2, e2) = e0
% 195.82/32.88    (15)   ~ (e3 = e1)
% 195.82/32.88    (16)   ~ (e2 = e0)
% 195.82/32.88    (17)   ~ (e3 = e0)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | BETA: splitting (8) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (18)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 195.82/32.88  | |           e1)
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (2), (9), (13), (14), (18) are inconsistent by sub-proof #1712.
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (19)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 195.82/32.88  | |           e1)
% 195.82/32.88  | | 
% 195.82/32.88  | | BETA: splitting (19) gives:
% 195.82/32.88  | | 
% 195.82/32.88  | | Case 1:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (20)  all_56_5 = e1 & op(e2, e1) = e1
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (20) implies:
% 195.82/32.88  | | |   (21)  all_56_5 = e1
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (10), (11), (12), (13), (14),
% 195.82/32.88  | | |            (15), (16), (17), (21) are inconsistent by sub-proof #1703.
% 195.82/32.88  | | | 
% 195.82/32.88  | | Case 2:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (22)  all_56_10 = e1 & op(e2, e0) = e1
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (4), (15), (22) are inconsistent by sub-proof #1539.
% 195.82/32.88  | | | 
% 195.82/32.88  | | End of split
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #724 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 195.82/32.88    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.82/32.88         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.82/32.88    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.82/32.88         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.82/32.88    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.88    (5)  op(e2, e2) = all_4_2
% 195.82/32.88    (6)  all_56_12 = e3
% 195.82/32.88    (7)   ~ (all_4_2 = e3)
% 195.82/32.88    (8)  op(e3, e3) = e2
% 195.82/32.88    (9)   ~ (e1 = e0)
% 195.82/32.88    (10)   ~ (e2 = e1)
% 195.82/32.88    (11)   ~ (e3 = e1)
% 195.82/32.88    (12)   ~ (e2 = e0)
% 195.82/32.88    (13)   ~ (e3 = e0)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | BETA: splitting (1) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (14)  all_56_2 = e3 & op(e2, e3) = e3
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (14) implies:
% 195.82/32.88  | |   (15)  all_56_2 = e3
% 195.82/32.88  | | 
% 195.82/32.88  | | BETA: splitting (3) gives:
% 195.82/32.88  | | 
% 195.82/32.88  | | Case 1:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 195.82/32.88  | | |           e1)
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (4), (8), (10), (11), (15), (16) are inconsistent by sub-proof
% 195.82/32.88  | | |            #1462.
% 195.82/32.88  | | | 
% 195.82/32.88  | | Case 2:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (17)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 195.82/32.88  | | |           e1)
% 195.82/32.88  | | | 
% 195.82/32.88  | | | BETA: splitting (17) gives:
% 195.82/32.88  | | | 
% 195.82/32.88  | | | Case 1:
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | |   (18)  all_56_6 = e1 & op(e1, e3) = e1
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | | ALPHA: (18) implies:
% 195.82/32.88  | | | |   (19)  all_56_6 = e1
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | | REF_CLOSE: (2), (4), (6), (8), (9), (12), (13), (15), (19) are
% 195.82/32.88  | | | |            inconsistent by sub-proof #725.
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | Case 2:
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | |   (20)  all_56_12 = e1 & op(e0, e3) = e1
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | | ALPHA: (20) implies:
% 195.82/32.88  | | | |   (21)  all_56_12 = e1
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | | REF_CLOSE: (6), (11), (21) are inconsistent by sub-proof #1674.
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | End of split
% 195.82/32.88  | | | 
% 195.82/32.88  | | End of split
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (22)  all_56_3 = e3 & op(e2, e2) = e3
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (22) implies:
% 195.82/32.88  | |   (23)  op(e2, e2) = e3
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (4), (5), (7), (23) are inconsistent by sub-proof #1975.
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #725 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.82/32.88         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.82/32.88    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.88    (3)  all_56_12 = e3
% 195.82/32.88    (4)  op(e3, e3) = e2
% 195.82/32.88    (5)  all_56_2 = e3
% 195.82/32.88    (6)   ~ (e1 = e0)
% 195.82/32.88    (7)  all_56_6 = e1
% 195.82/32.88    (8)   ~ (e2 = e0)
% 195.82/32.88    (9)   ~ (e3 = e0)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | BETA: splitting (1) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 195.82/32.88  | |           e0)
% 195.82/32.88  | | 
% 195.82/32.88  | | BETA: splitting (10) gives:
% 195.82/32.88  | | 
% 195.82/32.88  | | Case 1:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (11)  all_56_0 = e0 & op(e3, e3) = e0
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (11) implies:
% 195.82/32.88  | | |   (12)  op(e3, e3) = e0
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (2), (4), (8), (12) are inconsistent by sub-proof #833.
% 195.82/32.88  | | | 
% 195.82/32.88  | | Case 2:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (13)  all_56_2 = e0 & op(e2, e3) = e0
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (13) implies:
% 195.82/32.88  | | |   (14)  all_56_2 = e0
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (5), (9), (14) are inconsistent by sub-proof #1711.
% 195.82/32.88  | | | 
% 195.82/32.88  | | End of split
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 195.82/32.88  | |           e0)
% 195.82/32.88  | | 
% 195.82/32.88  | | BETA: splitting (15) gives:
% 195.82/32.88  | | 
% 195.82/32.88  | | Case 1:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (16)  all_56_6 = e0 & op(e1, e3) = e0
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (6), (7), (16) are inconsistent by sub-proof #1776.
% 195.82/32.88  | | | 
% 195.82/32.88  | | Case 2:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (17)  all_56_12 = e0 & op(e0, e3) = e0
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (17) implies:
% 195.82/32.88  | | |   (18)  all_56_12 = e0
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (3), (9), (18) are inconsistent by sub-proof #1700.
% 195.82/32.88  | | | 
% 195.82/32.88  | | End of split
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #726 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.82/32.88         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.82/32.88    (2)   ~ (all_52_7 = e0)
% 195.82/32.88    (3)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.82/32.88         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 195.82/32.88    (4)  op(e1, e2) = all_52_6
% 195.82/32.88    (5)   ~ (e3 = e2)
% 195.82/32.88    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.88    (7)  op(e2, e2) = all_4_2
% 195.82/32.88    (8)  all_56_13 = e2
% 195.82/32.88    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.82/32.88         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.82/32.88    (10)   ~ (all_4_2 = e3)
% 195.82/32.88    (11)   ~ (e1 = e0)
% 195.82/32.88    (12)   ~ (all_52_6 = e3)
% 195.82/32.88    (13)   ~ (e2 = e1)
% 195.82/32.88    (14)  op(e2, e2) = e2
% 195.82/32.88    (15)   ~ (e3 = e1)
% 195.82/32.88    (16)  op(e0, e2) = all_52_7
% 195.82/32.88    (17)   ~ (e2 = e0)
% 195.82/32.88    (18)   ~ (e3 = e0)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | BETA: splitting (9) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (19)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 195.82/32.88  | |           e3)
% 195.82/32.88  | | 
% 195.82/32.88  | | BETA: splitting (19) gives:
% 195.82/32.88  | | 
% 195.82/32.88  | | Case 1:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (20)  all_56_1 = e3 & op(e3, e2) = e3
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (20) implies:
% 195.82/32.88  | | |   (21)  all_56_1 = e3
% 195.82/32.88  | | |   (22)  op(e3, e2) = e3
% 195.82/32.88  | | | 
% 195.82/32.88  | | | BETA: splitting (3) gives:
% 195.82/32.88  | | | 
% 195.82/32.88  | | | Case 1:
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | |   (23)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2)
% 195.82/32.88  | | | |           = e0)
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | | REF_CLOSE: (6), (14), (17), (18), (21), (23) are inconsistent by
% 195.82/32.88  | | | |            sub-proof #728.
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | Case 2:
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | |   (24)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2)
% 195.82/32.88  | | | |           = e0)
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | | BETA: splitting (24) gives:
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | | Case 1:
% 195.82/32.88  | | | | | 
% 195.82/32.88  | | | | |   (25)  all_56_7 = e0 & op(e1, e2) = e0
% 195.82/32.88  | | | | | 
% 195.82/32.88  | | | | | ALPHA: (25) implies:
% 195.82/32.88  | | | | |   (26)  all_56_7 = e0
% 195.82/32.88  | | | | | 
% 195.82/32.88  | | | | | REF_CLOSE: (1), (6), (8), (11), (13), (14), (15), (22), (26) are
% 195.82/32.88  | | | | |            inconsistent by sub-proof #727.
% 195.82/32.88  | | | | | 
% 195.82/32.88  | | | | Case 2:
% 195.82/32.88  | | | | | 
% 195.82/32.88  | | | | |   (27)  all_56_13 = e0 & op(e0, e2) = e0
% 195.82/32.88  | | | | | 
% 195.82/32.88  | | | | | ALPHA: (27) implies:
% 195.82/32.88  | | | | |   (28)  op(e0, e2) = e0
% 195.82/32.88  | | | | | 
% 195.82/32.88  | | | | | REF_CLOSE: (2), (6), (16), (28) are inconsistent by sub-proof #818.
% 195.82/32.88  | | | | | 
% 195.82/32.88  | | | | End of split
% 195.82/32.88  | | | | 
% 195.82/32.88  | | | End of split
% 195.82/32.88  | | | 
% 195.82/32.88  | | Case 2:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (29)  all_56_3 = e3 & op(e2, e2) = e3
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (29) implies:
% 195.82/32.88  | | |   (30)  op(e2, e2) = e3
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (6), (7), (10), (30) are inconsistent by sub-proof #1975.
% 195.82/32.88  | | | 
% 195.82/32.88  | | End of split
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (31)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 195.82/32.88  | |           e3)
% 195.82/32.88  | | 
% 195.82/32.88  | | BETA: splitting (31) gives:
% 195.82/32.88  | | 
% 195.82/32.88  | | Case 1:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (32)  all_56_7 = e3 & op(e1, e2) = e3
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (32) implies:
% 195.82/32.88  | | |   (33)  op(e1, e2) = e3
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (4), (6), (12), (33) are inconsistent by sub-proof #1408.
% 195.82/32.88  | | | 
% 195.82/32.88  | | Case 2:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (34)  all_56_13 = e3 & op(e0, e2) = e3
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (34) implies:
% 195.82/32.88  | | |   (35)  all_56_13 = e3
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (5), (8), (35) are inconsistent by sub-proof #1541.
% 195.82/32.88  | | | 
% 195.82/32.88  | | End of split
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #727 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.82/32.88         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.82/32.88    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.88    (3)  all_56_7 = e0
% 195.82/32.88    (4)  all_56_13 = e2
% 195.82/32.88    (5)  op(e3, e2) = e3
% 195.82/32.88    (6)   ~ (e1 = e0)
% 195.82/32.88    (7)   ~ (e2 = e1)
% 195.82/32.88    (8)  op(e2, e2) = e2
% 195.82/32.88    (9)   ~ (e3 = e1)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | BETA: splitting (1) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (10)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 195.82/32.88  | |           e1)
% 195.82/32.88  | | 
% 195.82/32.88  | | BETA: splitting (10) gives:
% 195.82/32.88  | | 
% 195.82/32.88  | | Case 1:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (11)  all_56_1 = e1 & op(e3, e2) = e1
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (11) implies:
% 195.82/32.88  | | |   (12)  op(e3, e2) = e1
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (2), (5), (9), (12) are inconsistent by sub-proof #739.
% 195.82/32.88  | | | 
% 195.82/32.88  | | Case 2:
% 195.82/32.88  | | | 
% 195.82/32.88  | | |   (13)  all_56_3 = e1 & op(e2, e2) = e1
% 195.82/32.88  | | | 
% 195.82/32.88  | | | ALPHA: (13) implies:
% 195.82/32.88  | | |   (14)  op(e2, e2) = e1
% 195.82/32.88  | | | 
% 195.82/32.88  | | | REF_CLOSE: (2), (7), (8), (14) are inconsistent by sub-proof #1783.
% 195.82/32.88  | | | 
% 195.82/32.88  | | End of split
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (15)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 195.82/32.88  | |           e1)
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (3), (4), (6), (7), (15) are inconsistent by sub-proof #1204.
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #728 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 195.82/32.88    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.88    (3)  op(e2, e2) = e2
% 195.82/32.88    (4)  all_56_1 = e3
% 195.82/32.88    (5)   ~ (e2 = e0)
% 195.82/32.88    (6)   ~ (e3 = e0)
% 195.82/32.88  
% 195.82/32.88  Begin of proof
% 195.82/32.88  | 
% 195.82/32.88  | BETA: splitting (1) gives:
% 195.82/32.88  | 
% 195.82/32.88  | Case 1:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (7)  all_56_1 = e0 & op(e3, e2) = e0
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (4), (6), (7) are inconsistent by sub-proof #1878.
% 195.82/32.88  | | 
% 195.82/32.88  | Case 2:
% 195.82/32.88  | | 
% 195.82/32.88  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 195.82/32.88  | | 
% 195.82/32.88  | | ALPHA: (8) implies:
% 195.82/32.88  | |   (9)  op(e2, e2) = e0
% 195.82/32.88  | | 
% 195.82/32.88  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1939.
% 195.82/32.88  | | 
% 195.82/32.88  | End of split
% 195.82/32.88  | 
% 195.82/32.88  End of proof
% 195.82/32.88  
% 195.82/32.88  Sub-proof #729 shows that the following formulas are inconsistent:
% 195.82/32.88  ----------------------------------------------------------------
% 195.82/32.88    (1)   ~ (all_52_1 = all_4_2)
% 195.82/32.88    (2)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.82/32.88    (3)   ~ (all_52_7 = e0)
% 195.82/32.88    (4)  op(e1, e3) = all_52_2
% 195.82/32.89    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.82/32.89           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.82/32.89           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.82/32.89                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.82/32.89               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.82/32.89               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.82/32.89           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.82/32.89           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.82/32.89               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.82/32.89           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.82/32.89               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.82/32.89           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.82/32.89           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.82/32.89               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.82/32.89               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.82/32.89               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.89         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.82/32.89           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.82/32.89           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.82/32.89               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.82/32.89             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.82/32.89         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.82/32.89           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.82/32.89           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.82/32.89                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.82/32.89               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.82/32.89               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.82/32.89           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.82/32.89           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.82/32.89             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.82/32.89           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.82/32.89               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.82/32.89           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.82/32.89           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.82/32.89               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.82/32.89               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.82/32.89               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.89         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.82/32.89           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.82/32.89           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.82/32.89               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.82/32.89             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.82/32.89         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.82/32.89           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.82/32.89           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.82/32.89                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.82/32.89               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.82/32.89               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.82/32.89           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.82/32.89             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.82/32.89               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.82/32.89           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.82/32.89               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.82/32.89           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.82/32.89           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.82/32.89               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.82/32.89               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.82/32.89               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.82/32.89         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.82/32.89           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.82/32.89           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.82/32.89               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.82/32.89             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.82/32.89         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.82/32.89             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.82/32.89           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.82/32.89               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.82/32.89             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.82/32.89         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.82/32.89             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.82/32.89           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.82/32.89               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.82/32.89             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.82/32.89         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.82/32.89             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.82/32.89           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.82/32.89               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.82/32.89             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.89         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.82/32.89             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.82/32.89           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.82/32.89               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.82/32.89             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.82/32.89    (6)  op(e1, e2) = all_52_6
% 195.82/32.89    (7)  all_54_7 = all_52_13
% 195.82/32.89    (8)   ~ (all_52_14 = e0)
% 195.82/32.89    (9)  all_54_2 = all_52_8
% 195.82/32.89    (10)   ~ (all_4_2 = e0)
% 195.82/32.89    (11)   ~ (all_52_13 = e2)
% 195.82/32.89    (12)   ~ (e3 = e2)
% 195.82/32.89    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.89            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.89    (14)  op(e3, e2) = all_52_4
% 195.82/32.89    (15)  op(e2, e2) = all_4_2
% 195.82/32.89    (16)   ~ (all_52_12 = all_52_13)
% 195.82/32.89    (17)  op(e0, e1) = e2
% 195.82/32.89    (18)   ~ (all_52_8 = e3)
% 195.82/32.89    (19)   ~ (all_52_14 = e3)
% 195.82/32.89    (20)  op(e0, e3) = all_52_3
% 195.82/32.89    (21)  op(e2, e0) = all_52_13
% 195.82/32.89    (22)  op(e1, e0) = all_52_14
% 195.82/32.89    (23)  all_54_8 = all_52_2
% 195.82/32.89    (24)  op(e1, e0) = e2
% 195.82/32.89    (25)   ~ (all_52_2 = all_52_14)
% 195.82/32.89    (26)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.82/32.89              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.82/32.89            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.82/32.89            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.82/32.89            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.82/32.89            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.82/32.89            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.82/32.89            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.82/32.89            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.82/32.89            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.82/32.89            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.82/32.89            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.82/32.89            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.82/32.89            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.82/32.89            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.82/32.89            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.82/32.89            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.82/32.89            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.82/32.89            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.82/32.89            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.82/32.89            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.82/32.89            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.82/32.89            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.82/32.89            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.82/32.89            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.82/32.89            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.82/32.89            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.82/32.89            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.82/32.89            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.82/32.89            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.82/32.89            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.82/32.89            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.82/32.89            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.82/32.89            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.82/32.89            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.82/32.89            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.82/32.89            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.82/32.89            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.82/32.89            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.82/32.89            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.82/32.89            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.82/32.89            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.82/32.89            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.82/32.89            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.82/32.89            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.82/32.89            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.82/32.89            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.82/32.89            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.82/32.89              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.82/32.89            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.82/32.89            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.82/32.89              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.82/32.89            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.82/32.89            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.82/32.89                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.82/32.89                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.82/32.89                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.82/32.89                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.82/32.89                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.82/32.89                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.82/32.89                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.82/32.89              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.82/32.89                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.82/32.89                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.82/32.89                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.82/32.89                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.82/32.89                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.82/32.89                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.82/32.89                $i(all_57_7))))
% 195.82/32.89    (27)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.82/32.89          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.82/32.89    (28)   ~ (all_52_6 = e2)
% 195.82/32.89    (29)  op(e0, e1) = all_52_11
% 195.82/32.89    (30)   ~ (all_52_2 = e3)
% 195.82/32.89    (31)   ~ (all_4_2 = e1)
% 195.82/32.89    (32)   ~ (all_4_2 = e3)
% 195.82/32.89    (33)   ~ (all_52_8 = all_52_12)
% 195.82/32.89    (34)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.82/32.89    (35)  op(e3, e3) = e2
% 195.82/32.89    (36)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 195.82/32.89    (37)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.82/32.89    (38)   ~ (e1 = e0)
% 195.82/32.89    (39)   ~ (all_52_8 = all_52_11)
% 195.82/32.89    (40)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 195.82/32.89          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 195.82/32.89    (41)   ~ (all_52_6 = e3)
% 195.82/32.89    (42)  all_54_5 = all_4_2
% 195.82/32.89    (43)   ~ (all_52_2 = all_52_6)
% 195.82/32.89    (44)   ~ (e2 = e1)
% 195.82/32.89    (45)   ~ (all_52_11 = e0)
% 195.82/32.89    (46)   ~ (all_52_3 = e0)
% 195.82/32.89    (47)   ~ (all_52_13 = all_4_2)
% 195.82/32.89    (48)  op(e3, e0) = all_52_12
% 195.82/32.89    (49)  op(e2, e2) = e2
% 195.82/32.89    (50)   ~ (all_52_9 = all_4_2)
% 195.82/32.89    (51)  op(e2, e1) = all_52_9
% 195.82/32.89    (52)  op(e0, e0) = e0
% 195.82/32.89    (53)   ~ (all_52_13 = e0)
% 195.82/32.89    (54)  op(e3, e1) = all_52_8
% 195.82/32.89    (55)   ~ (all_52_9 = all_52_13)
% 195.82/32.89    (56)  op(e0, e2) = all_52_7
% 195.82/32.89    (57)  op(e1, e1) = e3
% 195.82/32.89    (58)   ~ (e2 = e0)
% 195.82/32.89    (59)  op(e2, e3) = all_52_1
% 195.82/32.89    (60)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.82/32.89    (61)   ~ (e3 = e0)
% 195.82/32.89  
% 195.82/32.89  Begin of proof
% 195.82/32.89  | 
% 195.82/32.89  | BETA: splitting (26) gives:
% 195.82/32.89  | 
% 195.82/32.89  | Case 1:
% 195.82/32.89  | | 
% 195.82/32.89  | |   (62)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 195.82/32.89  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.82/32.89  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 195.82/32.89  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 195.82/32.89  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.82/32.89  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 195.82/32.89  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 195.82/32.89  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 195.82/32.89  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.82/32.89  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 195.82/32.89  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.82/32.89  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 195.82/32.89  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 195.82/32.89  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.82/32.89  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.82/32.89  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 195.82/32.89  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.82/32.89  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 195.82/32.89  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 195.82/32.89  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 195.82/32.89  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.82/32.89  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 195.82/32.89  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 195.82/32.89  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 195.82/32.89  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 195.82/32.89  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 195.82/32.89  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.82/32.89  | | 
% 195.82/32.89  | | BETA: splitting (62) gives:
% 195.82/32.89  | | 
% 195.82/32.89  | | Case 1:
% 195.82/32.89  | | | 
% 195.82/32.89  | | |   (63)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.82/32.89  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.82/32.89  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.82/32.89  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 195.82/32.89  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.82/32.89  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.82/32.89  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 195.82/32.89  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.82/32.89  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.82/32.89  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 195.82/32.89  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.82/32.89  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 195.82/32.89  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.82/32.89  | | | 
% 195.82/32.89  | | | BETA: splitting (63) gives:
% 195.82/32.89  | | | 
% 195.82/32.89  | | | Case 1:
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | |   (64)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.82/32.89  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.82/32.89  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.82/32.89  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.82/32.89  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.82/32.89  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.82/32.89  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | | REF_CLOSE: (1), (10), (13), (31), (42), (59), (60), (64) are
% 195.82/32.89  | | | |            inconsistent by sub-proof #735.
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | Case 2:
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | |   (65)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.82/32.89  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.82/32.89  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.82/32.89  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.82/32.89  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.82/32.89  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.82/32.89  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | | REF_CLOSE: (13), (15), (32), (57), (65) are inconsistent by sub-proof
% 195.82/32.89  | | | |            #733.
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | End of split
% 195.82/32.89  | | | 
% 195.82/32.89  | | Case 2:
% 195.82/32.89  | | | 
% 195.82/32.89  | | |   (66)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.82/32.89  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.82/32.89  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.82/32.89  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 195.82/32.89  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 195.82/32.89  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.82/32.89  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.82/32.89  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.82/32.89  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.82/32.89  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 195.82/32.89  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 195.82/32.89  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 195.82/32.89  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 195.82/32.89  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.82/32.89  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.82/32.89  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.82/32.89  | | | 
% 195.82/32.89  | | | BETA: splitting (66) gives:
% 195.82/32.89  | | | 
% 195.82/32.89  | | | Case 1:
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | |   (67)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.82/32.89  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.82/32.89  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.82/32.89  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.82/32.89  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 195.82/32.89  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.82/32.89  | | | |           $i(all_57_5) & $i(all_57_10))
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | | REF_CLOSE: (13), (35), (67) are inconsistent by sub-proof #798.
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | Case 2:
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | |   (68)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.82/32.89  | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.82/32.89  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.82/32.89  | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 195.82/32.89  | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.82/32.89  | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 195.82/32.89  | | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.82/32.89  | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 195.82/32.89  | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.82/32.89  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | | BETA: splitting (68) gives:
% 195.82/32.89  | | | | 
% 195.82/32.89  | | | | Case 1:
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | |   (69)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.82/32.89  | | | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.82/32.89  | | | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.82/32.89  | | | | |         $i(all_57_14)
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | ALPHA: (69) implies:
% 195.82/32.89  | | | | |   (70)   ~ (all_57_3 = e3)
% 195.82/32.89  | | | | |   (71)  op(e1, e1) = all_57_14
% 195.82/32.89  | | | | |   (72)  op(e1, e2) = e1
% 195.82/32.89  | | | | |   (73)  op(e3, e2) = all_57_3
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | GROUND_INST: instantiating (13) with all_52_11, e2, e1, e0,
% 195.82/32.89  | | | | |              simplifying with (17), (29) gives:
% 195.82/32.89  | | | | |   (74)  all_52_11 = e2
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | GROUND_INST: instantiating (13) with all_52_14, e2, e0, e1,
% 195.82/32.89  | | | | |              simplifying with (22), (24) gives:
% 195.82/32.89  | | | | |   (75)  all_52_14 = e2
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | GROUND_INST: instantiating (13) with e3, all_57_14, e1, e1,
% 195.82/32.89  | | | | |              simplifying with (57), (71) gives:
% 195.82/32.89  | | | | |   (76)  all_57_14 = e3
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | GROUND_INST: instantiating (13) with all_52_6, e1, e2, e1, simplifying
% 195.82/32.89  | | | | |              with (6), (72) gives:
% 195.82/32.89  | | | | |   (77)  all_52_6 = e1
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | GROUND_INST: instantiating (13) with all_52_4, all_57_3, e2, e3,
% 195.82/32.89  | | | | |              simplifying with (14), (73) gives:
% 195.82/32.89  | | | | |   (78)  all_57_3 = all_52_4
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | REDUCE: (70), (78) imply:
% 195.82/32.89  | | | | |   (79)   ~ (all_52_4 = e3)
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | REDUCE: (43), (77) imply:
% 195.82/32.89  | | | | |   (80)   ~ (all_52_2 = e1)
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | REDUCE: (25), (75) imply:
% 195.82/32.89  | | | | |   (81)   ~ (all_52_2 = e2)
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | REDUCE: (41), (77) imply:
% 195.82/32.89  | | | | |   (82)   ~ (e3 = e1)
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | SIMP: (82) implies:
% 195.82/32.89  | | | | |   (83)   ~ (e3 = e1)
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | REDUCE: (28), (77) imply:
% 195.82/32.89  | | | | |   (84)   ~ (e2 = e1)
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | REDUCE: (39), (74) imply:
% 195.82/32.89  | | | | |   (85)   ~ (all_52_8 = e2)
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | REDUCE: (19), (75) imply:
% 195.82/32.89  | | | | |   (86)   ~ (e3 = e2)
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | BETA: splitting (40) gives:
% 195.82/32.89  | | | | | 
% 195.82/32.89  | | | | | Case 1:
% 195.82/32.89  | | | | | | 
% 195.82/32.89  | | | | | |   (87)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3,
% 195.82/32.89  | | | | | |             e2) = e3)
% 195.82/32.89  | | | | | | 
% 195.82/32.89  | | | | | | REF_CLOSE: (12), (13), (14), (35), (79), (87) are inconsistent by
% 195.82/32.89  | | | | | |            sub-proof #826.
% 195.82/32.89  | | | | | | 
% 195.82/32.89  | | | | | Case 2:
% 195.82/32.89  | | | | | | 
% 195.82/32.89  | | | | | |   (88)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 195.82/32.89  | | | | | |             e0) = e3)
% 195.82/32.89  | | | | | | 
% 195.82/32.89  | | | | | | BETA: splitting (88) gives:
% 195.82/32.89  | | | | | | 
% 195.82/32.89  | | | | | | Case 1:
% 195.82/32.89  | | | | | | | 
% 195.82/32.89  | | | | | | |   (89)  all_56_4 = e3 & op(e3, e1) = e3
% 195.82/32.89  | | | | | | | 
% 195.82/32.89  | | | | | | | ALPHA: (89) implies:
% 195.82/32.89  | | | | | | |   (90)  op(e3, e1) = e3
% 195.82/32.89  | | | | | | | 
% 195.82/32.89  | | | | | | | REF_CLOSE: (13), (18), (54), (90) are inconsistent by sub-proof
% 195.82/32.89  | | | | | | |            #1759.
% 195.82/32.89  | | | | | | | 
% 195.82/32.89  | | | | | | Case 2:
% 195.82/32.89  | | | | | | | 
% 195.82/32.89  | | | | | | |   (91)  all_56_9 = e3 & op(e3, e0) = e3
% 195.82/32.89  | | | | | | | 
% 195.82/32.89  | | | | | | | ALPHA: (91) implies:
% 195.82/32.89  | | | | | | |   (92)  op(e3, e0) = e3
% 195.82/32.89  | | | | | | | 
% 195.82/32.89  | | | | | | | BETA: splitting (34) gives:
% 195.82/32.89  | | | | | | | 
% 195.82/32.89  | | | | | | | Case 1:
% 195.82/32.89  | | | | | | | | 
% 195.82/32.89  | | | | | | | |   (93)  all_54_8 = e3
% 195.82/32.89  | | | | | | | | 
% 195.82/32.89  | | | | | | | | REF_CLOSE: (23), (30), (93) are inconsistent by sub-proof #1162.
% 195.82/32.89  | | | | | | | | 
% 195.82/32.89  | | | | | | | Case 2:
% 195.82/32.89  | | | | | | | | 
% 195.82/32.89  | | | | | | | |   (94)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 195.82/32.89  | | | | | | | | 
% 195.82/32.89  | | | | | | | | BETA: splitting (5) gives:
% 195.82/32.89  | | | | | | | | 
% 195.82/32.89  | | | | | | | | Case 1:
% 195.82/32.89  | | | | | | | | | 
% 195.82/32.89  | | | | | | | | |   (95)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.82/32.89  | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3
% 195.82/32.89  | | | | | | | | |           & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.82/32.89  | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.82/32.89  | | | | | | | | |                 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 195.82/32.89  | | | | | | | | |           & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 195.82/32.89  | | | | | | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.82/32.89  | | | | | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2
% 195.82/32.89  | | | | | | | | |           & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 195.82/32.89  | | | | | | | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.82/32.89  | | | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 195.82/32.89  | | | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.82/32.89  | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 195.82/32.89  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.82/32.89  | | | | | | | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 &
% 195.82/32.89  | | | | | | | | |           all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 195.82/32.89  | | | | | | | | |           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 195.82/32.89  | | | | | | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 &
% 195.82/32.89  | | | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 195.82/32.89  | | | | | | | | |                 e1) = all_57_7 & $i(all_57_7))) & ((all_57_15
% 195.82/32.89  | | | | | | | | |               = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 195.82/32.89  | | | | | | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.89  | | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.82/32.89  | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.82/32.89  | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.82/32.89  | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 195.82/32.89  | | | | | | | | |                 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0)))
% 195.82/32.89  | | | | | | | | |           & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 195.82/32.89  | | | | | | | | |               (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.82/32.89  | | | | | | | | |               $i(all_57_2)))) | (all_57_2 = e3 & all_57_9 = e3
% 195.82/32.89  | | | | | | | | |           & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3
% 195.82/32.89  | | | | | | | | |           & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.82/32.89  | | | | | | | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0)
% 195.82/32.89  | | | | | | | | |             | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.82/32.89  | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 195.82/32.89  | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.82/32.89  | | | | | | | | |               all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 195.82/32.89  | | | | | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 195.82/32.89  | | | | | | | | |           all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.82/32.89  | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 195.82/32.89  | | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 195.82/32.89  | | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14
% 195.82/32.89  | | | | | | | | |               = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.82/32.89  | | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.82/32.89  | | | | | | | | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.82/32.89  | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2
% 195.82/32.89  | | | | | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.82/32.89  | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 195.82/32.89  | | | | | | | | |                 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)))
% 195.82/32.89  | | | | | | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.82/32.89  | | | | | | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 195.82/32.89  | | | | | | | | |               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 195.82/32.89  | | | | | | | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 195.82/32.89  | | | | | | | | |             e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.82/32.89  | | | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2)
% 195.82/32.89  | | | | | | | | |             | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.82/32.89  | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 195.82/32.89  | | | | | | | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.82/32.89  | | | | | | | | |               all_57_5 & $i(all_57_5))))
% 195.82/32.89  | | | | | | | | | 
% 195.82/32.89  | | | | | | | | | BETA: splitting (95) gives:
% 195.82/32.89  | | | | | | | | | 
% 195.82/32.89  | | | | | | | | | Case 1:
% 195.82/32.89  | | | | | | | | | | 
% 195.82/32.89  | | | | | | | | | |   (96)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.82/32.89  | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.82/32.89  | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.82/32.89  | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.82/32.89  | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.82/32.89  | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.82/32.89  | | | | | | | | | |               = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.82/32.89  | | | | | | | | | |               all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 195.82/32.89  | | | | | | | | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 195.82/32.89  | | | | | | | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 &
% 195.82/32.89  | | | | | | | | | |           op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 = e3
% 195.82/32.89  | | | | | | | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.82/32.89  | | | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.82/32.89  | | | | | | | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 195.82/32.89  | | | | | | | | | |               (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 195.82/32.89  | | | | | | | | | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 =
% 195.82/32.89  | | | | | | | | | |           e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1)
% 195.82/32.89  | | | | | | | | | |           = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 195.82/32.89  | | | | | | | | | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 195.82/32.89  | | | | | | | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.82/32.89  | | | | | | | | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.82/32.89  | | | | | | | | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 195.82/32.89  | | | | | | | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.89  | | | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.82/32.89  | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.82/32.89  | | | | | | | | | |             e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.82/32.89  | | | | | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.82/32.89  | | | | | | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.82/32.89  | | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 195.82/32.89  | | | | | | | | | |               = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.82/32.89  | | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 195.82/32.89  | | | | | | | | | | 
% 195.82/32.89  | | | | | | | | | | BETA: splitting (96) gives:
% 195.82/32.89  | | | | | | | | | | 
% 195.82/32.89  | | | | | | | | | | Case 1:
% 195.82/32.89  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | |   (97)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.82/32.90  | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.82/32.90  | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.82/32.90  | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.82/32.90  | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.82/32.90  | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.82/32.90  | | | | | | | | | | |                 e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | | |                 e2) = all_57_5 & $i(all_57_5)))) |
% 195.82/32.90  | | | | | | | | | | |         (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.82/32.90  | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.82/32.90  | | | | | | | | | | |           op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.82/32.90  | | | | | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.82/32.90  | | | | | | | | | | |               e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.82/32.90  | | | | | | | | | | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.82/32.90  | | | | | | | | | | |               & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.82/32.90  | | | | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (32), (79), (97) are
% 195.82/32.90  | | | | | | | | | | |            inconsistent by sub-proof #1530.
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | Case 2:
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | |   (98)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.82/32.90  | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.82/32.90  | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.82/32.90  | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.82/32.90  | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.82/32.90  | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.82/32.90  | | | | | | | | | | |                 e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | | |                 e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.90  | | | | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.82/32.90  | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.82/32.90  | | | | | | | | | | |           op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.82/32.90  | | | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.82/32.90  | | | | | | | | | | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.82/32.90  | | | | | | | | | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.82/32.90  | | | | | | | | | | |               & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.82/32.90  | | | | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | BETA: splitting (98) gives:
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | Case 1:
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | |   (99)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.82/32.90  | | | | | | | | | | | |         op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.82/32.90  | | | | | | | | | | | |         e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.82/32.90  | | | | | | | | | | | |         ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.82/32.90  | | | | | | | | | | | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.82/32.90  | | | | | | | | | | | |             $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.82/32.90  | | | | | | | | | | | |             = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.82/32.90  | | | | | | | | | | | |             all_57_8 & $i(all_57_8)))
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | ALPHA: (99) implies:
% 195.82/32.90  | | | | | | | | | | | |   (100)  op(e3, e3) = e1
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (13), (15),
% 195.82/32.90  | | | | | | | | | | | |            (16), (20), (21), (22), (26), (27), (29), (31),
% 195.82/32.90  | | | | | | | | | | | |            (32), (33), (36), (38), (42), (45), (46), (47),
% 195.82/32.90  | | | | | | | | | | | |            (48), (50), (51), (52), (53), (54), (55), (57),
% 195.82/32.90  | | | | | | | | | | | |            (59), (61), (80), (100) are inconsistent by
% 195.82/32.90  | | | | | | | | | | | |            sub-proof #1245.
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | Case 2:
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | |   (101)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.82/32.90  | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.82/32.90  | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.82/32.90  | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.82/32.90  | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.82/32.90  | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 195.82/32.90  | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.82/32.90  | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | ALPHA: (101) implies:
% 195.82/32.90  | | | | | | | | | | | |   (102)  op(e1, e3) = e1
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | REF_CLOSE: (4), (13), (80), (102) are inconsistent by
% 195.82/32.90  | | | | | | | | | | | |            sub-proof #1974.
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | End of split
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | End of split
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | Case 2:
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | |   (103)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.82/32.90  | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.82/32.90  | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.82/32.90  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.82/32.90  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.82/32.90  | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.82/32.90  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 195.82/32.90  | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 195.82/32.90  | | | | | | | | | |                  e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 195.82/32.90  | | | | | | | | | |                  e3) = all_57_1 & $i(all_57_1)))) |
% 195.82/32.90  | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.82/32.90  | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.82/32.90  | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.82/32.90  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.90  | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.82/32.90  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 195.82/32.90  | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0,
% 195.82/32.90  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | BETA: splitting (103) gives:
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | Case 1:
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | |   (104)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.82/32.90  | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.82/32.90  | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.82/32.90  | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.82/32.90  | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.82/32.90  | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.82/32.90  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.82/32.90  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.82/32.90  | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.82/32.90  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.82/32.90  | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.82/32.90  | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.82/32.90  | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.82/32.90  | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.82/32.90  | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.82/32.90  | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | REF_CLOSE: (13), (20), (35), (46), (58), (104) are
% 195.82/32.90  | | | | | | | | | | |            inconsistent by sub-proof #830.
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | Case 2:
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | |   (105)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.82/32.90  | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.82/32.90  | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.82/32.90  | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.82/32.90  | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.82/32.90  | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.82/32.90  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.90  | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.82/32.90  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.82/32.90  | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.82/32.90  | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.82/32.90  | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.82/32.90  | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.82/32.90  | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.82/32.90  | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | REF_CLOSE: (12), (13), (44), (49), (57), (105) are
% 195.82/32.90  | | | | | | | | | | |            inconsistent by sub-proof #880.
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | End of split
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | End of split
% 195.82/32.90  | | | | | | | | | 
% 195.82/32.90  | | | | | | | | Case 2:
% 195.82/32.90  | | | | | | | | | 
% 195.82/32.90  | | | | | | | | |   (106)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.82/32.90  | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2
% 195.82/32.90  | | | | | | | | |            & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.82/32.90  | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.82/32.90  | | | | | | | | |                  = e3) & op(e3, e0) = all_57_9 &
% 195.82/32.90  | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.82/32.90  | | | | | | | | |                = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.82/32.90  | | | | | | | | |                all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 195.82/32.90  | | | | | | | | |            all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.82/32.90  | | | | | | | | |            all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 195.82/32.90  | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_12) & ((all_57_10 = e2
% 195.82/32.90  | | | | | | | | |                & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.82/32.90  | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.82/32.90  | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.82/32.90  | | | | | | | | |                  = e1) & op(e1, e2) = all_57_4 &
% 195.82/32.90  | | | | | | | | |                $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 =
% 195.82/32.90  | | | | | | | | |            e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0)
% 195.82/32.90  | | | | | | | | |            = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 195.82/32.90  | | | | | | | | |            $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0)
% 195.82/32.90  | | | | | | | | |              | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.82/32.90  | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 195.82/32.90  | | | | | | | | |                = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.82/32.90  | | | | | | | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 195.82/32.90  | | | | | | | | |            all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 195.82/32.90  | | | | | | | | |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 195.82/32.90  | | | | | | | | |            op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1
% 195.82/32.90  | | | | | | | | |                & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.82/32.90  | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.82/32.90  | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 195.82/32.90  | | | | | | | | |                  = e2) & op(e2, e1) = all_57_7 &
% 195.82/32.90  | | | | | | | | |                $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3)
% 195.82/32.90  | | | | | | | | |            = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.82/32.90  | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.82/32.90  | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 195.82/32.90  | | | | | | | | |                = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.82/32.90  | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 195.82/32.90  | | | | | | | | |                op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) | (all_57_12
% 195.82/32.90  | | | | | | | | |            = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3,
% 195.82/32.90  | | | | | | | | |                  e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.82/32.90  | | | | | | | | |                = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.82/32.90  | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.82/32.90  | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 195.82/32.90  | | | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.82/32.90  | | | | | | | | |                  = e0) & op(e0, e2) = all_57_5 &
% 195.82/32.90  | | | | | | | | |                $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1)
% 195.82/32.90  | | | | | | | | |            = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.82/32.90  | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.82/32.90  | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 195.82/32.90  | | | | | | | | |                = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.82/32.90  | | | | | | | | |                all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 195.82/32.90  | | | | | | | | |                op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) | (all_57_15
% 195.82/32.90  | | | | | | | | |            = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3,
% 195.82/32.90  | | | | | | | | |                  e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 195.82/32.90  | | | | | | | | |                = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 195.82/32.90  | | | | | | | | |                & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 195.82/32.90  | | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.82/32.90  | | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 195.82/32.90  | | | | | | | | |                (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.82/32.90  | | | | | | | | |                $i(all_57_13))))
% 195.82/32.90  | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | BETA: splitting (106) gives:
% 195.82/32.90  | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | Case 1:
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | |   (107)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.82/32.90  | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.82/32.90  | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.82/32.90  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.82/32.90  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.82/32.90  | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.82/32.90  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 195.82/32.90  | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 195.82/32.90  | | | | | | | | | |                  e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 195.82/32.90  | | | | | | | | | |                  e2) = all_57_4 & $i(all_57_4)))) |
% 195.82/32.90  | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.82/32.90  | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.82/32.90  | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.82/32.90  | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.82/32.90  | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.82/32.90  | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.82/32.90  | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 195.82/32.90  | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 195.82/32.90  | | | | | | | | | |                  e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 195.82/32.90  | | | | | | | | | |                  e1) = all_57_7 & $i(all_57_7))))
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | BETA: splitting (107) gives:
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | Case 1:
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | |   (108)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.82/32.90  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.82/32.90  | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.82/32.90  | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.82/32.90  | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.82/32.90  | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.82/32.90  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.82/32.90  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.82/32.90  | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.82/32.90  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.82/32.90  | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.82/32.90  | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.82/32.90  | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.82/32.90  | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.82/32.90  | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.82/32.90  | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | REF_CLOSE: (9), (13), (18), (21), (35), (37), (53), (58),
% 195.82/32.90  | | | | | | | | | | |            (85), (92), (108) are inconsistent by sub-proof
% 195.82/32.90  | | | | | | | | | | |            #731.
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | Case 2:
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | |   (109)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.82/32.90  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.82/32.90  | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.82/32.90  | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.82/32.90  | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.82/32.90  | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.82/32.90  | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.82/32.90  | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.82/32.90  | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.82/32.90  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.82/32.90  | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.82/32.90  | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.82/32.90  | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.82/32.90  | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.82/32.90  | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.82/32.90  | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | BETA: splitting (109) gives:
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | Case 1:
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | |   (110)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.82/32.90  | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.82/32.90  | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.82/32.90  | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.82/32.90  | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.82/32.90  | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 195.82/32.90  | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 195.82/32.90  | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | ALPHA: (110) implies:
% 195.82/32.90  | | | | | | | | | | | |   (111)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.82/32.90  | | | | | | | | | | | |              = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | REF_CLOSE: (9), (13), (18), (35), (37), (58), (85), (92),
% 195.82/32.90  | | | | | | | | | | | |            (111) are inconsistent by sub-proof #732.
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | Case 2:
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | |   (112)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.82/32.90  | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 195.82/32.90  | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.82/32.90  | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.82/32.90  | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.82/32.90  | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 195.82/32.90  | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 195.82/32.90  | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | ALPHA: (112) implies:
% 195.82/32.90  | | | | | | | | | | | |   (113)  op(e1, e0) = e0
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | REF_CLOSE: (13), (22), (23), (25), (80), (81), (94), (113)
% 195.82/32.90  | | | | | | | | | | | |            are inconsistent by sub-proof #1256.
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | End of split
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | End of split
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | Case 2:
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | |   (114)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.82/32.90  | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.82/32.90  | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.82/32.90  | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.82/32.90  | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.82/32.90  | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.82/32.90  | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.82/32.90  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.82/32.90  | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.82/32.90  | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.82/32.90  | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.82/32.90  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.90  | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.82/32.90  | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.82/32.90  | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.82/32.90  | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.82/32.90  | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.82/32.90  | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.82/32.90  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.82/32.90  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | BETA: splitting (114) gives:
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | Case 1:
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | |   (115)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.82/32.90  | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.82/32.90  | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.82/32.90  | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.82/32.90  | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.82/32.90  | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.82/32.90  | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.82/32.90  | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.82/32.90  | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.82/32.90  | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.82/32.90  | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.82/32.90  | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.82/32.90  | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.82/32.90  | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | BETA: splitting (115) gives:
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | Case 1:
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | |   (116)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.82/32.90  | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.82/32.90  | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.82/32.90  | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.82/32.90  | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.82/32.90  | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.82/32.90  | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.82/32.90  | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | ALPHA: (116) implies:
% 195.82/32.90  | | | | | | | | | | | |   (117)  op(e3, e3) = e3
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | REF_CLOSE: (12), (13), (35), (117) are inconsistent by
% 195.82/32.90  | | | | | | | | | | | |            sub-proof #1957.
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | Case 2:
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | |   (118)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.82/32.90  | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.82/32.90  | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.82/32.90  | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.82/32.90  | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.82/32.90  | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.82/32.90  | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.82/32.90  | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | ALPHA: (118) implies:
% 195.82/32.90  | | | | | | | | | | | |   (119)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.82/32.90  | | | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | | REF_CLOSE: (12), (13), (57), (72), (119) are inconsistent by
% 195.82/32.90  | | | | | | | | | | | |            sub-proof #879.
% 195.82/32.90  | | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | End of split
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | Case 2:
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | |   (120)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.82/32.90  | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.82/32.90  | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.82/32.90  | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.82/32.90  | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.82/32.90  | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.82/32.90  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.82/32.90  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.90  | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.82/32.90  | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.82/32.90  | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.82/32.90  | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.82/32.90  | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.82/32.90  | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.82/32.90  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.82/32.90  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | | REF_CLOSE: (9), (13), (18), (35), (37), (57), (58), (83),
% 195.82/32.90  | | | | | | | | | | |            (85), (92), (120) are inconsistent by sub-proof
% 195.82/32.90  | | | | | | | | | | |            #730.
% 195.82/32.90  | | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | | End of split
% 195.82/32.90  | | | | | | | | | | 
% 195.82/32.90  | | | | | | | | | End of split
% 195.82/32.90  | | | | | | | | | 
% 195.82/32.90  | | | | | | | | End of split
% 195.82/32.90  | | | | | | | | 
% 195.82/32.90  | | | | | | | End of split
% 195.82/32.90  | | | | | | | 
% 195.82/32.90  | | | | | | End of split
% 195.82/32.90  | | | | | | 
% 195.82/32.90  | | | | | End of split
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | Case 2:
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | |   (121)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.82/32.90  | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.82/32.90  | | | | |            & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.82/32.90  | | | | |            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.82/32.90  | | | | |            (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.82/32.90  | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 195.82/32.90  | | | | |            = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | | REF_CLOSE: (13), (44), (49), (52), (58), (121) are inconsistent by
% 195.82/32.90  | | | | |            sub-proof #1487.
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | End of split
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | End of split
% 195.82/32.90  | | | 
% 195.82/32.90  | | End of split
% 195.82/32.90  | | 
% 195.82/32.90  | Case 2:
% 195.82/32.90  | | 
% 195.82/32.90  | |   (122)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.82/32.90  | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.82/32.90  | |            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.82/32.90  | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.82/32.90  | |              e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.82/32.90  | |            all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.82/32.90  | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &
% 195.82/32.90  | |             ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 195.82/32.90  | |            & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.82/32.90  | |            $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &
% 195.82/32.90  | |             ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.82/32.90  | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 195.82/32.90  | |            all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.82/32.90  | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.82/32.90  | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 195.82/32.90  | |            op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)) |
% 195.82/32.90  | |          (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.82/32.90  | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.82/32.90  | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.82/32.90  | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.82/32.90  | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.82/32.90  | |            all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.82/32.90  | |            $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 195.82/32.90  | |            &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.82/32.90  | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 195.82/32.90  | |            all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.82/32.90  | |            all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.82/32.90  | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.82/32.90  | |            & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0)
% 195.82/32.90  | |            = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 & 
% 195.82/32.90  | |                ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.82/32.90  | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0))
% 195.82/32.90  | |              | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.82/32.90  | |                (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.82/32.90  | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.82/32.90  | |                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3)
% 195.82/32.90  | |                = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.82/32.90  | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.82/32.90  | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.82/32.90  | |                & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.82/32.90  | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.82/32.90  | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.82/32.90  | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.82/32.90  | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2)
% 195.82/32.90  | |                = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.82/32.90  | |                $i(all_57_7))))
% 195.82/32.90  | | 
% 195.82/32.90  | | BETA: splitting (122) gives:
% 195.82/32.90  | | 
% 195.82/32.90  | | Case 1:
% 195.82/32.90  | | | 
% 195.82/32.90  | | |   (123)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.82/32.90  | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.82/32.90  | | |            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.82/32.90  | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 195.82/32.90  | | |              = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.82/32.90  | | |            all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.82/32.90  | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 195.82/32.90  | | |            &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.82/32.90  | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.82/32.90  | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 195.82/32.90  | | |            all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.82/32.90  | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.82/32.90  | | |            op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 195.82/32.90  | | |          (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.82/32.90  | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.82/32.90  | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.82/32.90  | | |            $i(all_57_13))
% 195.82/32.90  | | | 
% 195.82/32.90  | | | BETA: splitting (123) gives:
% 195.82/32.90  | | | 
% 195.82/32.90  | | | Case 1:
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | |   (124)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.82/32.90  | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.82/32.90  | | | |            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.82/32.90  | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.82/32.90  | | | |            (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.82/32.90  | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.82/32.90  | | | |            e2 & $i(all_57_6) & $i(all_57_12))
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | | REF_CLOSE: (13), (35), (38), (44), (52), (124) are inconsistent by
% 195.82/32.90  | | | |            sub-proof #791.
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | Case 2:
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | |   (125)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.82/32.90  | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.82/32.90  | | | |            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.82/32.90  | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 195.82/32.90  | | | |            (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.82/32.90  | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 195.82/32.90  | | | |            all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.82/32.90  | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.82/32.90  | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 195.82/32.90  | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | | BETA: splitting (125) gives:
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | | Case 1:
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | |   (126)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.82/32.90  | | | | |          (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.82/32.90  | | | | |          op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.82/32.90  | | | | |          $i(all_57_12)
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | | ALPHA: (126) implies:
% 195.82/32.90  | | | | |   (127)  op(e0, e0) = e1
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | | REF_CLOSE: (13), (38), (52), (127) are inconsistent by sub-proof
% 195.82/32.90  | | | | |            #1943.
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | Case 2:
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | |   (128)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.82/32.90  | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 195.82/32.90  | | | | |            & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10)
% 195.82/32.90  | | | | |            & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.82/32.90  | | | | |            (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.82/32.90  | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 195.82/32.90  | | | | |            = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | | REF_CLOSE: (13), (49), (57), (58), (61), (128) are inconsistent by
% 195.82/32.90  | | | | |            sub-proof #856.
% 195.82/32.90  | | | | | 
% 195.82/32.90  | | | | End of split
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | End of split
% 195.82/32.90  | | | 
% 195.82/32.90  | | Case 2:
% 195.82/32.90  | | | 
% 195.82/32.90  | | |   (129)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.82/32.90  | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.82/32.90  | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.82/32.90  | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.82/32.90  | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.82/32.90  | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.82/32.90  | | |            e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 195.82/32.90  | | |            all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.82/32.90  | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.82/32.90  | | |            op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 195.82/32.90  | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.82/32.90  | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.82/32.90  | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.82/32.90  | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.82/32.90  | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.82/32.90  | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 195.82/32.90  | | |                & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.82/32.90  | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.82/32.90  | | |                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.82/32.90  | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.82/32.90  | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.82/32.90  | | |                op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.82/32.90  | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.82/32.90  | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.82/32.90  | | |                & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.82/32.90  | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.82/32.90  | | |                op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.82/32.90  | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.82/32.90  | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.82/32.90  | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.82/32.90  | | | 
% 195.82/32.90  | | | BETA: splitting (129) gives:
% 195.82/32.90  | | | 
% 195.82/32.90  | | | Case 1:
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | |   (130)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.82/32.90  | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.82/32.90  | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.82/32.90  | | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.82/32.90  | | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.82/32.90  | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.82/32.90  | | | |            e1 & $i(all_57_9) & $i(all_57_14))
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | | REF_CLOSE: (13), (35), (58), (130) are inconsistent by sub-proof #819.
% 195.82/32.90  | | | | 
% 195.82/32.90  | | | Case 2:
% 195.82/32.90  | | | | 
% 195.82/32.91  | | | |   (131)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.82/32.91  | | | |            (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.82/32.91  | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.82/32.91  | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 195.82/32.91  | | | |            (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.82/32.91  | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0)
% 195.82/32.91  | | | |            = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.82/32.91  | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.82/32.91  | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.82/32.91  | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.82/32.91  | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.82/32.91  | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.82/32.91  | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.82/32.91  | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.82/32.91  | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.82/32.91  | | | |                op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.82/32.91  | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.82/32.91  | | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.82/32.91  | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.82/32.91  | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.82/32.91  | | | |                & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.82/32.91  | | | |                e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.82/32.91  | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.82/32.91  | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | BETA: splitting (131) gives:
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | Case 1:
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | |   (132)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.82/32.91  | | | | |          (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.82/32.91  | | | | |          op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.82/32.91  | | | | |          $i(all_57_13)
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | | ALPHA: (132) implies:
% 195.82/32.91  | | | | |   (133)  op(e2, e0) = e2
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | | REF_CLOSE: (11), (13), (21), (133) are inconsistent by sub-proof
% 195.82/32.91  | | | | |            #1662.
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | Case 2:
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | |   (134)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.82/32.91  | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.82/32.91  | | | | |            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11)
% 195.82/32.91  | | | | |            & $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15)
% 195.82/32.91  | | | | |            & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) & 
% 195.82/32.91  | | | | |                ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2)
% 195.82/32.91  | | | | |                = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 195.82/32.91  | | | | |                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.82/32.91  | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.82/32.91  | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.82/32.91  | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.82/32.91  | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.82/32.91  | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 195.82/32.91  | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.82/32.91  | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.82/32.91  | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.82/32.91  | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.82/32.91  | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.82/32.91  | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.82/32.91  | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.82/32.91  | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.82/32.91  | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | | BETA: splitting (134) gives:
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | | Case 1:
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | |   (135)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.82/32.91  | | | | | |          (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.82/32.91  | | | | | |          & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11)
% 195.82/32.91  | | | | | |          & $i(all_57_14)
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | | ALPHA: (135) implies:
% 195.82/32.91  | | | | | |   (136)  op(e2, e2) = e0
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | | REF_CLOSE: (13), (49), (58), (136) are inconsistent by sub-proof
% 195.82/32.91  | | | | | |            #1939.
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | Case 2:
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | |   (137)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.82/32.91  | | | | | |              all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.82/32.91  | | | | | |                e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.82/32.91  | | | | | |              op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.82/32.91  | | | | | |              all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.82/32.91  | | | | | |                e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.82/32.91  | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.82/32.91  | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.82/32.91  | | | | | |                e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.82/32.91  | | | | | |              op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 195.82/32.91  | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.82/32.91  | | | | | |                e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.82/32.91  | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.82/32.91  | | | | | |              all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.82/32.91  | | | | | |                e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.82/32.91  | | | | | |              op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.82/32.91  | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.82/32.91  | | | | | |                e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.82/32.91  | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | | ALPHA: (137) implies:
% 195.82/32.91  | | | | | |   (138)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.82/32.91  | | | | | |            (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.82/32.91  | | | | | |            e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.82/32.91  | | | | | |            all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.82/32.91  | | | | | |            & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 195.82/32.91  | | | | | |            e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.82/32.91  | | | | | |            (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.82/32.91  | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.82/32.91  | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.82/32.91  | | | | | |            (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.82/32.91  | | | | | |            e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.82/32.91  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.82/32.91  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.82/32.91  | | | | | |            e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.82/32.91  | | | | | |            (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.82/32.91  | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | | BETA: splitting (138) gives:
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | | Case 1:
% 195.82/32.91  | | | | | | | 
% 195.82/32.91  | | | | | | |   (139)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.82/32.91  | | | | | | |            (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.82/32.91  | | | | | | |            e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.82/32.91  | | | | | | |            all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.82/32.91  | | | | | | |              e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.82/32.91  | | | | | | |            op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.82/32.91  | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.82/32.91  | | | | | | |              e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.82/32.91  | | | | | | |            op(e0, e2) = e0 & $i(all_57_3))
% 195.82/32.91  | | | | | | | 
% 195.82/32.91  | | | | | | | REF_CLOSE: (3), (13), (15), (20), (32), (46), (56), (139) are
% 195.82/32.91  | | | | | | |            inconsistent by sub-proof #816.
% 195.82/32.91  | | | | | | | 
% 195.82/32.91  | | | | | | Case 2:
% 195.82/32.91  | | | | | | | 
% 195.82/32.91  | | | | | | |   (140)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.82/32.91  | | | | | | |            (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.82/32.91  | | | | | | |            e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.82/32.91  | | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.82/32.91  | | | | | | |              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.82/32.91  | | | | | | |            op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.82/32.91  | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.82/32.91  | | | | | | |              e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.82/32.91  | | | | | | |            op(e0, e1) = e0 & $i(all_57_7))
% 195.82/32.91  | | | | | | | 
% 195.82/32.91  | | | | | | | BETA: splitting (140) gives:
% 195.82/32.91  | | | | | | | 
% 195.82/32.91  | | | | | | | Case 1:
% 195.82/32.91  | | | | | | | | 
% 195.82/32.91  | | | | | | | |   (141)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) & 
% 195.82/32.91  | | | | | | | |          ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1)
% 195.82/32.91  | | | | | | | |          = e2 & op(e0, e2) = e0 & $i(all_57_4)
% 195.82/32.91  | | | | | | | | 
% 195.82/32.91  | | | | | | | | ALPHA: (141) implies:
% 195.82/32.91  | | | | | | | |   (142)  op(e0, e2) = e0
% 195.82/32.91  | | | | | | | | 
% 195.82/32.91  | | | | | | | | REF_CLOSE: (3), (13), (56), (142) are inconsistent by sub-proof
% 195.82/32.91  | | | | | | | |            #818.
% 195.82/32.91  | | | | | | | | 
% 195.82/32.91  | | | | | | | Case 2:
% 195.82/32.91  | | | | | | | | 
% 195.82/32.91  | | | | | | | |   (143)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 195.82/32.91  | | | | | | | |            ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.82/32.91  | | | | | | | |            all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.82/32.91  | | | | | | | |          (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 195.82/32.91  | | | | | | | |            ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.82/32.91  | | | | | | | |            all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.82/32.91  | | | | | | | | 
% 195.82/32.91  | | | | | | | | BETA: splitting (143) gives:
% 195.82/32.91  | | | | | | | | 
% 195.82/32.91  | | | | | | | | Case 1:
% 195.82/32.91  | | | | | | | | | 
% 195.82/32.91  | | | | | | | | |   (144)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &
% 195.82/32.91  | | | | | | | | |           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.82/32.91  | | | | | | | | |          all_57_6 & op(e0, e1) = e0 & $i(all_57_6)
% 195.82/32.91  | | | | | | | | | 
% 195.82/32.91  | | | | | | | | | ALPHA: (144) implies:
% 195.82/32.91  | | | | | | | | |   (145)  op(e3, e3) = e1
% 195.82/32.91  | | | | | | | | | 
% 195.82/32.91  | | | | | | | | | REF_CLOSE: (12), (13), (15), (20), (29), (32), (44), (45),
% 195.82/32.91  | | | | | | | | |            (46), (49), (57), (138), (145) are inconsistent by
% 195.82/32.91  | | | | | | | | |            sub-proof #1246.
% 195.82/32.91  | | | | | | | | | 
% 195.82/32.91  | | | | | | | | Case 2:
% 195.82/32.91  | | | | | | | | | 
% 195.82/32.91  | | | | | | | | |   (146)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 195.82/32.91  | | | | | | | | |           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.82/32.91  | | | | | | | | |          all_57_7 & op(e0, e1) = e0 & $i(all_57_7)
% 195.82/32.91  | | | | | | | | | 
% 195.82/32.91  | | | | | | | | | ALPHA: (146) implies:
% 195.82/32.91  | | | | | | | | |   (147)  op(e2, e2) = e1
% 195.82/32.91  | | | | | | | | | 
% 195.82/32.91  | | | | | | | | | REF_CLOSE: (13), (44), (49), (147) are inconsistent by
% 195.82/32.91  | | | | | | | | |            sub-proof #1783.
% 195.82/32.91  | | | | | | | | | 
% 195.82/32.91  | | | | | | | | End of split
% 195.82/32.91  | | | | | | | | 
% 195.82/32.91  | | | | | | | End of split
% 195.82/32.91  | | | | | | | 
% 195.82/32.91  | | | | | | End of split
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | End of split
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | End of split
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | End of split
% 195.82/32.91  | | | 
% 195.82/32.91  | | End of split
% 195.82/32.91  | | 
% 195.82/32.91  | End of split
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #730 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.82/32.91             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.82/32.91           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.82/32.91               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.82/32.91             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.82/32.91         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.82/32.91             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.82/32.91           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.82/32.91               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.82/32.91             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.82/32.91    (2)  op(e3, e0) = e3
% 195.82/32.91    (3)  all_54_2 = all_52_8
% 195.82/32.91    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (5)   ~ (all_52_8 = e3)
% 195.82/32.91    (6)   ~ (all_52_8 = e2)
% 195.82/32.91    (7)  op(e3, e3) = e2
% 195.82/32.91    (8)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.82/32.91    (9)   ~ (e3 = e1)
% 195.82/32.91    (10)  op(e1, e1) = e3
% 195.82/32.91    (11)   ~ (e2 = e0)
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | BETA: splitting (1) gives:
% 195.82/32.91  | 
% 195.82/32.91  | Case 1:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (12)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 195.82/32.91  | |             e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.82/32.91  | |             $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.82/32.91  | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 195.82/32.91  | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.82/32.91  | |               e1) = all_57_8 & $i(all_57_8)))
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (12) implies:
% 195.82/32.91  | |   (13)  op(e1, e1) = e1
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (4), (9), (10), (13) are inconsistent by sub-proof #1978.
% 195.82/32.91  | | 
% 195.82/32.91  | Case 2:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (14)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 195.82/32.91  | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.82/32.91  | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.82/32.91  | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 195.82/32.91  | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.82/32.91  | |               e0) = all_57_13 & $i(all_57_13)))
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (14) implies:
% 195.82/32.91  | |   (15)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 195.82/32.91  | |             e0) = all_57_9 & $i(all_57_9))
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (11), (15) are inconsistent by
% 195.82/32.91  | |            sub-proof #732.
% 195.82/32.91  | | 
% 195.82/32.91  | End of split
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #731 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)  op(e3, e0) = e3
% 195.82/32.91    (2)  all_54_2 = all_52_8
% 195.82/32.91    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (4)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.82/32.91           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.82/32.91           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.82/32.91                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.82/32.91               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.82/32.91               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.82/32.91           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.82/32.91             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.82/32.91               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.82/32.91           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.82/32.91               = all_57_4 & $i(all_57_4))))
% 195.82/32.91    (5)   ~ (all_52_8 = e3)
% 195.82/32.91    (6)  op(e2, e0) = all_52_13
% 195.82/32.91    (7)   ~ (all_52_8 = e2)
% 195.82/32.91    (8)  op(e3, e3) = e2
% 195.82/32.91    (9)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.82/32.91    (10)   ~ (all_52_13 = e0)
% 195.82/32.91    (11)   ~ (e2 = e0)
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | BETA: splitting (4) gives:
% 195.82/32.91  | 
% 195.82/32.91  | Case 1:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (12)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.82/32.91  | |         op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.82/32.91  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.82/32.91  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 =
% 195.82/32.91  | |             e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.82/32.91  | |             all_57_13 & $i(all_57_13)))
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (12) implies:
% 195.82/32.91  | |   (13)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 195.82/32.91  | |             e0) = all_57_9 & $i(all_57_9))
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (11), (13) are inconsistent by
% 195.82/32.91  | |            sub-proof #732.
% 195.82/32.91  | | 
% 195.82/32.91  | Case 2:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (14)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 195.82/32.91  | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.82/32.91  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 195.82/32.91  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 195.82/32.91  | |             e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.82/32.91  | |             all_57_4 & $i(all_57_4)))
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (14) implies:
% 195.82/32.91  | |   (15)  op(e2, e0) = e0
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (3), (6), (10), (15) are inconsistent by sub-proof #1173.
% 195.82/32.91  | | 
% 195.82/32.91  | End of split
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #732 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)  op(e3, e0) = e3
% 195.82/32.91    (2)  all_54_2 = all_52_8
% 195.82/32.91    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (4)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 195.82/32.91           all_57_9 & $i(all_57_9))
% 195.82/32.91    (5)   ~ (all_52_8 = e3)
% 195.82/32.91    (6)   ~ (all_52_8 = e2)
% 195.82/32.91    (7)  op(e3, e3) = e2
% 195.82/32.91    (8)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.82/32.91    (9)   ~ (e2 = e0)
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | BETA: splitting (4) gives:
% 195.82/32.91  | 
% 195.82/32.91  | Case 1:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (10)  all_57_10 = e0 & op(e3, e3) = e0
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (10) implies:
% 195.82/32.91  | |   (11)  op(e3, e3) = e0
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (3), (7), (9), (11) are inconsistent by sub-proof #833.
% 195.82/32.91  | | 
% 195.82/32.91  | Case 2:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (12)   ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (12) implies:
% 195.82/32.91  | |   (13)  op(e3, e0) = all_57_9
% 195.82/32.91  | | 
% 195.82/32.91  | | BETA: splitting (8) gives:
% 195.82/32.91  | | 
% 195.82/32.91  | | Case 1:
% 195.82/32.91  | | | 
% 195.82/32.91  | | |   (14)  all_54_2 = e3
% 195.82/32.91  | | | 
% 195.82/32.91  | | | REF_CLOSE: (2), (5), (14) are inconsistent by sub-proof #1762.
% 195.82/32.91  | | | 
% 195.82/32.91  | | Case 2:
% 195.82/32.91  | | | 
% 195.82/32.91  | | |   (15)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.82/32.91  | | | 
% 195.82/32.91  | | | BETA: splitting (15) gives:
% 195.82/32.91  | | | 
% 195.82/32.91  | | | Case 1:
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | |   (16)  all_54_2 = e2
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | COMBINE_EQS: (2), (16) imply:
% 195.82/32.91  | | | |   (17)  all_52_8 = e2
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | REDUCE: (6), (17) imply:
% 195.82/32.91  | | | |   (18)  $false
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | CLOSE: (18) is inconsistent.
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | Case 2:
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | GROUND_INST: instantiating (3) with e3, all_57_9, e0, e3, simplifying
% 195.82/32.91  | | | |              with (1), (13) gives:
% 195.82/32.91  | | | |   (19)  all_57_9 = e3
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | REF_CLOSE: (3), (4), (7), (9), (19) are inconsistent by sub-proof #829.
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | End of split
% 195.82/32.91  | | | 
% 195.82/32.91  | | End of split
% 195.82/32.91  | | 
% 195.82/32.91  | End of split
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #733 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (2)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 195.82/32.91             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.82/32.91           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 195.82/32.91           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 195.82/32.91             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 195.82/32.91             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.82/32.91    (3)  op(e2, e2) = all_4_2
% 195.82/32.91    (4)   ~ (all_4_2 = e3)
% 195.82/32.91    (5)  op(e1, e1) = e3
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | BETA: splitting (2) gives:
% 195.82/32.91  | 
% 195.82/32.91  | Case 1:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (6)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 195.82/32.91  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.82/32.91  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (6) implies:
% 195.82/32.91  | |   (7)  op(e2, e2) = e3
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1975.
% 195.82/32.91  | | 
% 195.82/32.91  | Case 2:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (8)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 195.82/32.91  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 195.82/32.91  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (8) implies:
% 195.82/32.91  | |   (9)   ~ (all_57_14 = e3)
% 195.82/32.91  | |   (10)  op(e1, e1) = all_57_14
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (1), (5), (9), (10) are inconsistent by sub-proof #734.
% 195.82/32.91  | | 
% 195.82/32.91  | End of split
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #734 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (2)  op(e1, e1) = all_57_14
% 195.82/32.91    (3)  op(e1, e1) = e3
% 195.82/32.91    (4)   ~ (all_57_14 = e3)
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | GROUND_INST: instantiating (1) with e3, all_57_14, e1, e1, simplifying with
% 195.82/32.91  |              (2), (3) gives:
% 195.82/32.91  |   (5)  all_57_14 = e3
% 195.82/32.91  | 
% 195.82/32.91  | REDUCE: (4), (5) imply:
% 195.82/32.91  |   (6)  $false
% 195.82/32.91  | 
% 195.82/32.91  | CLOSE: (6) is inconsistent.
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #735 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)   ~ (all_52_1 = all_4_2)
% 195.82/32.91    (2)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.82/32.91             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.82/32.91           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.82/32.91           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.82/32.91           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.82/32.91           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.82/32.91    (3)   ~ (all_4_2 = e0)
% 195.82/32.91    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (5)   ~ (all_4_2 = e1)
% 195.82/32.91    (6)  all_54_5 = all_4_2
% 195.82/32.91    (7)  op(e2, e3) = all_52_1
% 195.82/32.91    (8)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | BETA: splitting (2) gives:
% 195.82/32.91  | 
% 195.82/32.91  | Case 1:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (9)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.82/32.91  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.82/32.91  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (9) implies:
% 195.82/32.91  | |   (10)  op(e2, e3) = e2
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10) are inconsistent by
% 195.82/32.91  | |            sub-proof #1315.
% 195.82/32.91  | | 
% 195.82/32.91  | Case 2:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (11)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 195.82/32.91  | |           = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.82/32.91  | |         all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (11) implies:
% 195.82/32.91  | |   (12)  op(e2, e3) = e2
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (12) are inconsistent by
% 195.82/32.91  | |            sub-proof #1315.
% 195.82/32.91  | | 
% 195.82/32.91  | End of split
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #736 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)   ~ (all_52_13 = e2)
% 195.82/32.91    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (3)  op(e2, e0) = all_52_13
% 195.82/32.91    (4)   ~ (all_52_12 = e2)
% 195.82/32.91    (5)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 195.82/32.91    (6)  op(e3, e0) = all_52_12
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | BETA: splitting (5) gives:
% 195.82/32.91  | 
% 195.82/32.91  | Case 1:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (7)  all_56_9 = e2 & op(e3, e0) = e2
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (2), (4), (6), (7) are inconsistent by sub-proof #737.
% 195.82/32.91  | | 
% 195.82/32.91  | Case 2:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (8)  all_56_10 = e2 & op(e2, e0) = e2
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (8) implies:
% 195.82/32.91  | |   (9)  op(e2, e0) = e2
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1662.
% 195.82/32.91  | | 
% 195.82/32.91  | End of split
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #737 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)  all_56_9 = e2 & op(e3, e0) = e2
% 195.82/32.91    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (3)  op(e3, e0) = all_52_12
% 195.82/32.91    (4)   ~ (all_52_12 = e2)
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | ALPHA: (1) implies:
% 195.82/32.91  |   (5)  op(e3, e0) = e2
% 195.82/32.91  | 
% 195.82/32.91  | GROUND_INST: instantiating (2) with all_52_12, e2, e0, e3, simplifying with
% 195.82/32.91  |              (3), (5) gives:
% 195.82/32.91  |   (6)  all_52_12 = e2
% 195.82/32.91  | 
% 195.82/32.91  | REDUCE: (4), (6) imply:
% 195.82/32.91  |   (7)  $false
% 195.82/32.91  | 
% 195.82/32.91  | CLOSE: (7) is inconsistent.
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #738 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)  op(e3, e2) = e1
% 195.82/32.91    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (3)  op(e2, e2) = all_4_2
% 195.82/32.91    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 195.82/32.91    (5)   ~ (all_4_2 = e3)
% 195.82/32.91    (6)   ~ (e3 = e1)
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | BETA: splitting (4) gives:
% 195.82/32.91  | 
% 195.82/32.91  | Case 1:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (7) implies:
% 195.82/32.91  | |   (8)  op(e3, e2) = e3
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #739.
% 195.82/32.91  | | 
% 195.82/32.91  | Case 2:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 195.82/32.91  | | 
% 195.82/32.91  | | ALPHA: (9) implies:
% 195.82/32.91  | |   (10)  op(e2, e2) = e3
% 195.82/32.91  | | 
% 195.82/32.91  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1975.
% 195.82/32.91  | | 
% 195.82/32.91  | End of split
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #739 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (2)  op(e3, e2) = e3
% 195.82/32.91    (3)  op(e3, e2) = e1
% 195.82/32.91    (4)   ~ (e3 = e1)
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | GROUND_INST: instantiating (1) with e1, e3, e2, e3, simplifying with (2), (3)
% 195.82/32.91  |              gives:
% 195.82/32.91  |   (5)  e3 = e1
% 195.82/32.91  | 
% 195.82/32.91  | REDUCE: (4), (5) imply:
% 195.82/32.91  |   (6)  $false
% 195.82/32.91  | 
% 195.82/32.91  | CLOSE: (6) is inconsistent.
% 195.82/32.91  | 
% 195.82/32.91  End of proof
% 195.82/32.91  
% 195.82/32.91  Sub-proof #740 shows that the following formulas are inconsistent:
% 195.82/32.91  ----------------------------------------------------------------
% 195.82/32.91    (1)  op(e1, e3) = all_52_2
% 195.82/32.91    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.82/32.91         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.82/32.91    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.82/32.91         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.82/32.91    (4)   ~ (e3 = e2)
% 195.82/32.91    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.91    (6)  op(e0, e3) = all_52_3
% 195.82/32.91    (7)   ~ (all_52_2 = e3)
% 195.82/32.91    (8)  op(e3, e3) = e2
% 195.82/32.91    (9)   ~ (e1 = e0)
% 195.82/32.91    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.82/32.91          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.82/32.91    (11)   ~ (e2 = e1)
% 195.82/32.91    (12)   ~ (all_52_3 = e0)
% 195.82/32.91    (13)  all_56_12 = e2
% 195.82/32.91    (14)   ~ (e3 = e1)
% 195.82/32.91    (15)   ~ (e2 = e0)
% 195.82/32.91    (16)   ~ (e3 = e0)
% 195.82/32.91  
% 195.82/32.91  Begin of proof
% 195.82/32.91  | 
% 195.82/32.91  | BETA: splitting (10) gives:
% 195.82/32.91  | 
% 195.82/32.91  | Case 1:
% 195.82/32.91  | | 
% 195.82/32.91  | |   (17)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 195.82/32.91  | |           e3)
% 195.82/32.91  | | 
% 195.82/32.91  | | BETA: splitting (17) gives:
% 195.82/32.91  | | 
% 195.82/32.91  | | Case 1:
% 195.82/32.91  | | | 
% 195.82/32.91  | | |   (18)  all_56_0 = e3 & op(e3, e3) = e3
% 195.82/32.91  | | | 
% 195.82/32.91  | | | ALPHA: (18) implies:
% 195.82/32.91  | | |   (19)  op(e3, e3) = e3
% 195.82/32.91  | | | 
% 195.82/32.91  | | | REF_CLOSE: (4), (5), (8), (19) are inconsistent by sub-proof #1957.
% 195.82/32.91  | | | 
% 195.82/32.91  | | Case 2:
% 195.82/32.91  | | | 
% 195.82/32.91  | | |   (20)  all_56_2 = e3 & op(e2, e3) = e3
% 195.82/32.91  | | | 
% 195.82/32.91  | | | ALPHA: (20) implies:
% 195.82/32.91  | | |   (21)  all_56_2 = e3
% 195.82/32.91  | | | 
% 195.82/32.91  | | | BETA: splitting (3) gives:
% 195.82/32.91  | | | 
% 195.82/32.91  | | | Case 1:
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | |   (22)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3)
% 195.82/32.91  | | | |           = e1)
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | REF_CLOSE: (5), (8), (11), (14), (21), (22) are inconsistent by
% 195.82/32.91  | | | |            sub-proof #744.
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | Case 2:
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | |   (23)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3)
% 195.82/32.91  | | | |           = e1)
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | BETA: splitting (23) gives:
% 195.82/32.91  | | | | 
% 195.82/32.91  | | | | Case 1:
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | |   (24)  all_56_6 = e1 & op(e1, e3) = e1
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | | ALPHA: (24) implies:
% 195.82/32.91  | | | | |   (25)  all_56_6 = e1
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | | BETA: splitting (2) gives:
% 195.82/32.91  | | | | | 
% 195.82/32.91  | | | | | Case 1:
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | |   (26)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2,
% 195.82/32.91  | | | | | |             e3) = e0)
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | | BETA: splitting (26) gives:
% 195.82/32.91  | | | | | | 
% 195.82/32.91  | | | | | | Case 1:
% 195.82/32.91  | | | | | | | 
% 195.82/32.91  | | | | | | |   (27)  all_56_0 = e0 & op(e3, e3) = e0
% 195.82/32.91  | | | | | | | 
% 195.82/32.92  | | | | | | | ALPHA: (27) implies:
% 195.82/32.92  | | | | | | |   (28)  op(e3, e3) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | REF_CLOSE: (5), (8), (15), (28) are inconsistent by sub-proof
% 195.82/32.92  | | | | | | |            #833.
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | Case 2:
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | |   (29)  all_56_2 = e0 & op(e2, e3) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | ALPHA: (29) implies:
% 195.82/32.92  | | | | | | |   (30)  all_56_2 = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | REF_CLOSE: (4), (5), (8), (10), (13), (14), (16), (25), (30) are
% 195.82/32.92  | | | | | | |            inconsistent by sub-proof #741.
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | End of split
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | Case 2:
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | |   (31)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0,
% 195.82/32.92  | | | | | |             e3) = e0)
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | | BETA: splitting (31) gives:
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | | Case 1:
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | |   (32)  all_56_6 = e0 & op(e1, e3) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | REF_CLOSE: (9), (25), (32) are inconsistent by sub-proof #1776.
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | Case 2:
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | |   (33)  all_56_12 = e0 & op(e0, e3) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | ALPHA: (33) implies:
% 195.82/32.92  | | | | | | |   (34)  op(e0, e3) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | REF_CLOSE: (5), (6), (12), (34) are inconsistent by sub-proof
% 195.82/32.92  | | | | | | |            #1935.
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | End of split
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | End of split
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | Case 2:
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | |   (35)  all_56_12 = e1 & op(e0, e3) = e1
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | REF_CLOSE: (11), (13), (35) are inconsistent by sub-proof #1435.
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | End of split
% 195.82/32.92  | | | | 
% 195.82/32.92  | | | End of split
% 195.82/32.92  | | | 
% 195.82/32.92  | | End of split
% 195.82/32.92  | | 
% 195.82/32.92  | Case 2:
% 195.82/32.92  | | 
% 195.82/32.92  | |   (36)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 195.82/32.92  | |           e3)
% 195.82/32.92  | | 
% 195.82/32.92  | | REF_CLOSE: (1), (4), (5), (7), (13), (36) are inconsistent by sub-proof
% 195.82/32.92  | |            #1178.
% 195.82/32.92  | | 
% 195.82/32.92  | End of split
% 195.82/32.92  | 
% 195.82/32.92  End of proof
% 195.82/32.92  
% 195.82/32.92  Sub-proof #741 shows that the following formulas are inconsistent:
% 195.82/32.92  ----------------------------------------------------------------
% 195.82/32.92    (1)   ~ (e3 = e2)
% 195.82/32.92    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.92    (3)  op(e3, e3) = e2
% 195.82/32.92    (4)  all_56_6 = e1
% 195.82/32.92    (5)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.82/32.92         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.82/32.92    (6)  all_56_2 = e0
% 195.82/32.92    (7)  all_56_12 = e2
% 195.82/32.92    (8)   ~ (e3 = e1)
% 195.82/32.92    (9)   ~ (e3 = e0)
% 195.82/32.92  
% 195.82/32.92  Begin of proof
% 195.82/32.92  | 
% 195.82/32.92  | BETA: splitting (5) gives:
% 195.82/32.92  | 
% 195.82/32.92  | Case 1:
% 195.82/32.92  | | 
% 195.82/32.92  | |   (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 195.82/32.92  | |           e3)
% 195.82/32.92  | | 
% 195.82/32.92  | | REF_CLOSE: (1), (2), (3), (6), (9), (10) are inconsistent by sub-proof #743.
% 195.82/32.92  | | 
% 195.82/32.92  | Case 2:
% 195.82/32.92  | | 
% 195.82/32.92  | |   (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 195.82/32.92  | |           e3)
% 195.82/32.92  | | 
% 195.82/32.92  | | REF_CLOSE: (1), (4), (7), (8), (11) are inconsistent by sub-proof #742.
% 195.82/32.92  | | 
% 195.82/32.92  | End of split
% 195.82/32.92  | 
% 195.82/32.92  End of proof
% 195.82/32.92  
% 195.82/32.92  Sub-proof #742 shows that the following formulas are inconsistent:
% 195.82/32.92  ----------------------------------------------------------------
% 195.82/32.92    (1)   ~ (e3 = e2)
% 195.82/32.92    (2)  all_56_6 = e1
% 195.82/32.92    (3)  all_56_12 = e2
% 195.82/32.92    (4)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.82/32.92    (5)   ~ (e3 = e1)
% 195.82/32.92  
% 195.82/32.92  Begin of proof
% 195.82/32.92  | 
% 195.82/32.92  | BETA: splitting (4) gives:
% 195.82/32.92  | 
% 195.82/32.92  | Case 1:
% 195.82/32.92  | | 
% 195.82/32.92  | |   (6)  all_56_6 = e3 & op(e1, e3) = e3
% 195.82/32.92  | | 
% 195.82/32.92  | | ALPHA: (6) implies:
% 195.82/32.92  | |   (7)  all_56_6 = e3
% 195.82/32.92  | | 
% 195.82/32.92  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #1620.
% 195.82/32.92  | | 
% 195.82/32.92  | Case 2:
% 195.82/32.92  | | 
% 195.82/32.92  | |   (8)  all_56_12 = e3 & op(e0, e3) = e3
% 195.82/32.92  | | 
% 195.82/32.92  | | ALPHA: (8) implies:
% 195.82/32.92  | |   (9)  all_56_12 = e3
% 195.82/32.92  | | 
% 195.82/32.92  | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #1354.
% 195.82/32.92  | | 
% 195.82/32.92  | End of split
% 195.82/32.92  | 
% 195.82/32.92  End of proof
% 195.82/32.92  
% 195.82/32.92  Sub-proof #743 shows that the following formulas are inconsistent:
% 195.82/32.92  ----------------------------------------------------------------
% 195.82/32.92    (1)   ~ (e3 = e2)
% 195.82/32.92    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.92    (3)  op(e3, e3) = e2
% 195.82/32.92    (4)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 195.82/32.92    (5)  all_56_2 = e0
% 195.82/32.92    (6)   ~ (e3 = e0)
% 195.82/32.92  
% 195.82/32.92  Begin of proof
% 195.82/32.92  | 
% 195.82/32.92  | BETA: splitting (4) gives:
% 195.82/32.92  | 
% 195.82/32.92  | Case 1:
% 195.82/32.92  | | 
% 195.82/32.92  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 195.82/32.92  | | 
% 195.82/32.92  | | ALPHA: (7) implies:
% 195.82/32.92  | |   (8)  op(e3, e3) = e3
% 195.82/32.92  | | 
% 195.82/32.92  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1957.
% 195.82/32.92  | | 
% 195.82/32.92  | Case 2:
% 195.82/32.92  | | 
% 195.82/32.92  | |   (9)  all_56_2 = e3 & op(e2, e3) = e3
% 195.82/32.92  | | 
% 195.82/32.92  | | ALPHA: (9) implies:
% 195.82/32.92  | |   (10)  all_56_2 = e3
% 195.82/32.92  | | 
% 195.82/32.92  | | REF_CLOSE: (5), (6), (10) are inconsistent by sub-proof #1711.
% 195.82/32.92  | | 
% 195.82/32.92  | End of split
% 195.82/32.92  | 
% 195.82/32.92  End of proof
% 195.82/32.92  
% 195.82/32.92  Sub-proof #744 shows that the following formulas are inconsistent:
% 195.82/32.92  ----------------------------------------------------------------
% 195.82/32.92    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.92    (2)  op(e3, e3) = e2
% 195.82/32.92    (3)  all_56_2 = e3
% 195.82/32.92    (4)   ~ (e2 = e1)
% 195.82/32.92    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 195.82/32.92    (6)   ~ (e3 = e1)
% 195.82/32.92  
% 195.82/32.92  Begin of proof
% 195.82/32.92  | 
% 195.82/32.92  | BETA: splitting (5) gives:
% 195.82/32.92  | 
% 195.82/32.92  | Case 1:
% 195.82/32.92  | | 
% 195.82/32.92  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 195.82/32.92  | | 
% 195.82/32.92  | | ALPHA: (7) implies:
% 195.82/32.92  | |   (8)  op(e3, e3) = e1
% 195.82/32.92  | | 
% 195.82/32.92  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1934.
% 195.82/32.92  | | 
% 195.82/32.92  | Case 2:
% 195.82/32.92  | | 
% 195.82/32.92  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 195.82/32.92  | | 
% 195.82/32.92  | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #1726.
% 195.82/32.92  | | 
% 195.82/32.92  | End of split
% 195.82/32.92  | 
% 195.82/32.92  End of proof
% 195.82/32.92  
% 195.82/32.92  Sub-proof #745 shows that the following formulas are inconsistent:
% 195.82/32.92  ----------------------------------------------------------------
% 195.82/32.92    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 195.82/32.92         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.82/32.92    (2)  op(e1, e3) = all_52_2
% 195.82/32.92    (3)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.82/32.92         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 195.82/32.92    (4)  op(e1, e2) = all_52_6
% 195.82/32.92    (5)   ~ (all_52_14 = e0)
% 195.82/32.92    (6)  op(e0, e0) = all_14_2
% 195.82/32.92    (7)   ~ (all_52_3 = e2)
% 195.82/32.92    (8)  ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3, e2) = all_12_1
% 195.82/32.92           & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e1) & op(e3, e2) =
% 195.82/32.92           all_12_1 & $i(all_12_1))
% 195.82/32.92    (9)   ~ (all_14_2 = e1)
% 195.82/32.92    (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.82/32.92          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.82/32.92    (11)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 195.82/32.92          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 195.82/32.92    (12)  all_54_2 = all_52_8
% 195.82/32.92    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.82/32.92          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.82/32.92    (14)   ~ (e3 = e2)
% 195.82/32.92    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.82/32.92            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.82/32.92    (16)   ~ (all_52_13 = all_14_2)
% 195.82/32.92    (17)  op(e3, e2) = all_52_4
% 195.82/32.92    (18)  op(e2, e2) = all_4_2
% 195.82/32.92    (19)  op(e2, e2) = e1
% 195.82/32.92    (20)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.82/32.92    (21)   ~ (all_52_7 = all_52_11)
% 195.82/32.92    (22)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.82/32.92          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.82/32.92    (23)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.82/32.92          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.82/32.92    (24)   ~ (all_52_3 = all_52_7)
% 195.82/32.92    (25)  all_54_12 = all_52_3
% 195.82/32.92    (26)   ~ (all_52_4 = all_52_8)
% 195.82/32.92    (27)  all_54_13 = all_52_7
% 195.82/32.92    (28)   ~ (all_52_4 = all_52_7)
% 195.82/32.92    (29)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.82/32.92          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.82/32.92            e1)
% 195.82/32.92    (30)   ~ (all_52_4 = e2)
% 195.82/32.92    (31)  op(e0, e3) = all_52_3
% 195.82/32.92    (32)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 195.82/32.92    (33)  op(e2, e0) = all_52_13
% 195.82/32.92    (34)  op(e1, e0) = all_52_14
% 195.82/32.92    (35)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 195.82/32.92    (36)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.82/32.92          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.82/32.92    (37)   ~ (all_46_2 = e2) | ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 195.82/32.92            op(e3, e2) = all_46_1 & $i(all_46_0) & $i(all_46_1)) | ( ~ (all_46_1 =
% 195.82/32.92              e0) & op(e3, e2) = all_46_1 & $i(all_46_1))
% 195.82/32.92    (38)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.82/32.92              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.82/32.92            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.82/32.92            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.82/32.92            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.82/32.92            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.82/32.92            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.82/32.92            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.82/32.92            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.82/32.92            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.82/32.92            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.82/32.92            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.82/32.92            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.82/32.92            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.82/32.92            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.82/32.92            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.82/32.92            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.82/32.92            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.82/32.92            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.82/32.92            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.82/32.92            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.82/32.92            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.82/32.92            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.82/32.92            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.82/32.92            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.82/32.92            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.82/32.92            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.82/32.92            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.82/32.92            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.82/32.92            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.82/32.92            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.82/32.92            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.82/32.92            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.82/32.92            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.82/32.92            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.82/32.92            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.82/32.92            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.82/32.92            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.82/32.92            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.82/32.92            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.82/32.92            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.82/32.92            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.82/32.92            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.82/32.92            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.82/32.92            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.82/32.92            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.82/32.92            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.82/32.92            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.82/32.92              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.82/32.92            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.82/32.92            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.82/32.92              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.82/32.92            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.82/32.92            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.82/32.92                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.82/32.92                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.82/32.92                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.82/32.92                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.82/32.92                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.82/32.92                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.82/32.92                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.82/32.92              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.82/32.92                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.82/32.92                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.82/32.92                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.82/32.92                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.82/32.92                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.82/32.92                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.82/32.92                $i(all_57_7))))
% 195.82/32.92    (39)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.82/32.92          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.82/32.92    (40)   ~ (all_52_2 = e2)
% 195.82/32.92    (41)   ~ (all_52_12 = all_52_14)
% 195.82/32.92    (42)   ~ (all_52_14 = all_14_2)
% 195.82/32.92    (43)   ~ (all_28_2 = e2) | ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 195.82/32.92            op(e0, e2) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 =
% 195.82/32.92              e3) & op(e0, e2) = all_28_1 & $i(all_28_1))
% 195.82/32.92    (44)   ~ (all_52_7 = e1)
% 195.82/32.92    (45)  op(e0, e1) = all_52_11
% 195.82/32.92    (46)  op(e1, e1) = e0
% 195.82/32.92    (47)   ~ (all_14_2 = e3)
% 195.82/32.92    (48)   ~ (all_4_2 = e3)
% 195.82/32.92    (49)  all_46_2 = e2
% 195.82/32.92    (50)   ~ (all_52_8 = all_52_12)
% 195.82/32.92    (51)   ~ (all_52_8 = e2)
% 195.82/32.92    (52)  op(e3, e3) = e2
% 195.82/32.92    (53)  all_54_15 = all_14_2
% 195.82/32.92    (54)  all_54_11 = all_52_14
% 195.82/32.92    (55)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.82/32.92    (56)   ~ (e1 = e0)
% 195.82/32.92    (57)   ~ (all_52_11 = all_14_2)
% 195.82/32.92    (58)   ~ (all_52_8 = all_52_11)
% 195.82/32.92    (59)   ~ (all_52_4 = e1)
% 195.82/32.92    (60)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.82/32.92          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.82/32.92    (61)   ~ (all_52_7 = all_14_2)
% 195.82/32.92    (62)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.82/32.92          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.82/32.92    (63)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.82/32.92    (64)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.82/32.92    (65)   ~ (all_52_1 = e2)
% 195.82/32.92    (66)   ~ (e2 = e1)
% 195.82/32.92    (67)  all_54_14 = all_52_11
% 195.82/32.92    (68)   ~ (all_52_11 = e0)
% 195.82/32.92    (69)  op(e3, e0) = all_52_12
% 195.82/32.92    (70)   ~ (all_52_2 = all_52_3)
% 195.82/32.92    (71)  op(e2, e1) = all_52_9
% 195.82/32.92    (72)  all_28_2 = all_14_2
% 195.82/32.92    (73)   ~ (all_52_1 = all_52_3)
% 195.82/32.92    (74)  op(e3, e1) = all_52_8
% 195.82/32.92    (75)   ~ (all_52_9 = all_52_13)
% 195.82/32.92    (76)   ~ (e3 = e1)
% 195.82/32.92    (77)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.82/32.92          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.82/32.92    (78)   ~ (all_52_6 = e1)
% 195.82/32.92    (79)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.82/32.92          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.82/32.92    (80)  op(e0, e2) = all_52_7
% 195.82/32.92    (81)   ~ (e2 = e0)
% 195.82/32.92    (82)  op(e2, e3) = all_52_1
% 195.82/32.92    (83)   ~ (e3 = e0)
% 195.82/32.92    (84)   ~ (all_52_3 = all_52_11)
% 195.82/32.92  
% 195.82/32.92  Begin of proof
% 195.82/32.92  | 
% 195.82/32.92  | BETA: splitting (43) gives:
% 195.82/32.92  | 
% 195.82/32.92  | Case 1:
% 195.82/32.92  | | 
% 195.82/32.92  | |   (85)   ~ (all_28_2 = e2)
% 195.82/32.92  | | 
% 195.82/32.92  | | REDUCE: (72), (85) imply:
% 195.82/32.92  | |   (86)   ~ (all_14_2 = e2)
% 195.82/32.92  | | 
% 195.82/32.92  | | BETA: splitting (35) gives:
% 195.82/32.92  | | 
% 195.82/32.92  | | Case 1:
% 195.82/32.92  | | | 
% 195.82/32.92  | | |   (87)  all_54_15 = e3
% 195.82/32.92  | | | 
% 195.82/32.92  | | | COMBINE_EQS: (53), (87) imply:
% 195.82/32.92  | | |   (88)  all_14_2 = e3
% 195.82/32.92  | | | 
% 195.82/32.92  | | | REDUCE: (47), (88) imply:
% 195.82/32.92  | | |   (89)  $false
% 195.82/32.92  | | | 
% 195.82/32.92  | | | CLOSE: (89) is inconsistent.
% 195.82/32.92  | | | 
% 195.82/32.92  | | Case 2:
% 195.82/32.92  | | | 
% 195.82/32.92  | | |   (90)   ~ (all_54_15 = e3)
% 195.82/32.92  | | |   (91)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 195.82/32.92  | | | 
% 195.82/32.92  | | | BETA: splitting (91) gives:
% 195.82/32.92  | | | 
% 195.82/32.92  | | | Case 1:
% 195.82/32.92  | | | | 
% 195.82/32.92  | | | |   (92)  all_54_15 = e2
% 195.82/32.92  | | | | 
% 195.82/32.92  | | | | COMBINE_EQS: (53), (92) imply:
% 195.82/32.92  | | | |   (93)  all_14_2 = e2
% 195.82/32.92  | | | | 
% 195.82/32.92  | | | | REDUCE: (86), (93) imply:
% 195.82/32.92  | | | |   (94)  $false
% 195.82/32.92  | | | | 
% 195.82/32.92  | | | | CLOSE: (94) is inconsistent.
% 195.82/32.92  | | | | 
% 195.82/32.92  | | | Case 2:
% 195.82/32.92  | | | | 
% 195.82/32.92  | | | |   (95)   ~ (all_54_15 = e2)
% 195.82/32.92  | | | |   (96)  all_54_15 = e1 | all_54_15 = e0
% 195.82/32.92  | | | | 
% 195.82/32.92  | | | | BETA: splitting (96) gives:
% 195.82/32.92  | | | | 
% 195.82/32.92  | | | | Case 1:
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | |   (97)  all_54_15 = e1
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | COMBINE_EQS: (53), (97) imply:
% 195.82/32.92  | | | | |   (98)  all_14_2 = e1
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | REDUCE: (9), (98) imply:
% 195.82/32.92  | | | | |   (99)  $false
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | CLOSE: (99) is inconsistent.
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | Case 2:
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | |   (100)  all_54_15 = e0
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | COMBINE_EQS: (53), (100) imply:
% 195.82/32.92  | | | | |   (101)  all_14_2 = e0
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | REDUCE: (61), (101) imply:
% 195.82/32.92  | | | | |   (102)   ~ (all_52_7 = e0)
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | REDUCE: (16), (101) imply:
% 195.82/32.92  | | | | |   (103)   ~ (all_52_13 = e0)
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | REDUCE: (47), (101) imply:
% 195.82/32.92  | | | | |   (104)   ~ (e3 = e0)
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | REDUCE: (86), (101) imply:
% 195.82/32.92  | | | | |   (105)   ~ (e2 = e0)
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | REDUCE: (9), (101) imply:
% 195.82/32.92  | | | | |   (106)   ~ (e1 = e0)
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | REDUCE: (6), (101) imply:
% 195.82/32.92  | | | | |   (107)  op(e0, e0) = e0
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | BETA: splitting (3) gives:
% 195.82/32.92  | | | | | 
% 195.82/32.92  | | | | | Case 1:
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | |   (108)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2,
% 195.82/32.92  | | | | | |              e2) = e0)
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | | BETA: splitting (108) gives:
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | | Case 1:
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | |   (109)  all_56_1 = e0 & op(e3, e2) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | ALPHA: (109) implies:
% 195.82/32.92  | | | | | | |   (110)  all_56_1 = e0
% 195.82/32.92  | | | | | | |   (111)  op(e3, e2) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | BETA: splitting (10) gives:
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | Case 1:
% 195.82/32.92  | | | | | | | | 
% 195.82/32.92  | | | | | | | |   (112)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 &
% 195.82/32.92  | | | | | | | |            op(e2, e2) = e0)
% 195.82/32.92  | | | | | | | | 
% 195.82/32.92  | | | | | | | | BETA: splitting (112) gives:
% 195.82/32.92  | | | | | | | | 
% 195.82/32.92  | | | | | | | | Case 1:
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | |   (113)  all_56_2 = e0 & op(e2, e3) = e0
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | ALPHA: (113) implies:
% 195.82/32.92  | | | | | | | | |   (114)  all_56_2 = e0
% 195.82/32.92  | | | | | | | | |   (115)  op(e2, e3) = e0
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | GROUND_INST: instantiating (15) with all_52_1, e0, e3, e2,
% 195.82/32.92  | | | | | | | | |              simplifying with (82), (115) gives:
% 195.82/32.92  | | | | | | | | |   (116)  all_52_1 = e0
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | GROUND_INST: instantiating (15) with all_52_4, e0, e2, e3,
% 195.82/32.92  | | | | | | | | |              simplifying with (17), (111) gives:
% 195.82/32.92  | | | | | | | | |   (117)  all_52_4 = e0
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | REDUCE: (73), (116) imply:
% 195.82/32.92  | | | | | | | | |   (118)   ~ (all_52_3 = e0)
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | SIMP: (118) implies:
% 195.82/32.92  | | | | | | | | |   (119)   ~ (all_52_3 = e0)
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | REDUCE: (28), (117) imply:
% 195.82/32.92  | | | | | | | | |   (120)   ~ (all_52_7 = e0)
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | REDUCE: (26), (117) imply:
% 195.82/32.92  | | | | | | | | |   (121)   ~ (all_52_8 = e0)
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | SIMP: (121) implies:
% 195.82/32.92  | | | | | | | | |   (122)   ~ (all_52_8 = e0)
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | BETA: splitting (37) gives:
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | Case 1:
% 195.82/32.92  | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | |   (123)   ~ (all_46_2 = e2)
% 195.82/32.92  | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | REDUCE: (49), (123) imply:
% 195.82/32.92  | | | | | | | | | |   (124)  $false
% 195.82/32.92  | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | CLOSE: (124) is inconsistent.
% 195.82/32.92  | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | Case 2:
% 195.82/32.92  | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | |   (125)  ( ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 195.82/32.92  | | | | | | | | | |            op(e3, e2) = all_46_1 & $i(all_46_0) &
% 195.82/32.92  | | | | | | | | | |            $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e3, e2)
% 195.82/32.92  | | | | | | | | | |            = all_46_1 & $i(all_46_1))
% 195.82/32.92  | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | BETA: splitting (8) gives:
% 195.82/32.92  | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | Case 1:
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | |   (126)   ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 &
% 195.82/32.92  | | | | | | | | | | |          op(e3, e2) = all_12_1 & $i(all_12_0) &
% 195.82/32.92  | | | | | | | | | | |          $i(all_12_1)
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | ALPHA: (126) implies:
% 195.82/32.92  | | | | | | | | | | |   (127)  op(e3, e2) = all_12_1
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | GROUND_INST: instantiating (15) with e0, all_12_1, e2, e3,
% 195.82/32.92  | | | | | | | | | | |              simplifying with (111), (127) gives:
% 195.82/32.92  | | | | | | | | | | |   (128)  all_12_1 = e0
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | BETA: splitting (125) gives:
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | Case 1:
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | |   (129)   ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 195.82/32.92  | | | | | | | | | | | |          op(e3, e2) = all_46_1 & $i(all_46_0) &
% 195.82/32.92  | | | | | | | | | | | |          $i(all_46_1)
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | | ALPHA: (129) implies:
% 195.82/32.92  | | | | | | | | | | | |   (130)   ~ (all_46_0 = e1)
% 195.82/32.92  | | | | | | | | | | | |   (131)  op(e3, e2) = all_46_1
% 195.82/32.92  | | | | | | | | | | | |   (132)  op(all_46_1, e3) = all_46_0
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | | REF_CLOSE: (2), (4), (6), (7), (9), (12), (13), (14), (15),
% 195.82/32.92  | | | | | | | | | | | |            (19), (20), (21), (22), (24), (25), (27), (29),
% 195.82/32.92  | | | | | | | | | | | |            (31), (33), (38), (44), (45), (46), (47), (50),
% 195.82/32.92  | | | | | | | | | | | |            (51), (52), (53), (55), (56), (58), (60), (62),
% 195.82/32.92  | | | | | | | | | | | |            (63), (64), (65), (66), (67), (68), (69), (70),
% 195.82/32.92  | | | | | | | | | | | |            (71), (74), (75), (76), (78), (80), (81), (82),
% 195.82/32.92  | | | | | | | | | | | |            (83), (84), (96), (102), (107), (111), (114),
% 195.82/32.92  | | | | | | | | | | | |            (119), (122), (130), (131), (132) are inconsistent
% 195.82/32.92  | | | | | | | | | | | |            by sub-proof #752.
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | Case 2:
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | |   (133)   ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 195.82/32.92  | | | | | | | | | | | |          $i(all_46_1)
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | | ALPHA: (133) implies:
% 195.82/32.92  | | | | | | | | | | | |   (134)   ~ (all_46_1 = e0)
% 195.82/32.92  | | | | | | | | | | | |   (135)  op(e3, e2) = all_46_1
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | | REF_CLOSE: (15), (111), (127), (134), (135) are inconsistent
% 195.82/32.92  | | | | | | | | | | | |            by sub-proof #765.
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | End of split
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | Case 2:
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | |   (136)   ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 &
% 195.82/32.92  | | | | | | | | | | |          $i(all_12_1)
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | ALPHA: (136) implies:
% 195.82/32.92  | | | | | | | | | | |   (137)   ~ (all_12_1 = e1)
% 195.82/32.92  | | | | | | | | | | |   (138)  op(e3, e2) = all_12_1
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | GROUND_INST: instantiating (15) with e0, all_12_1, e2, e3,
% 195.82/32.92  | | | | | | | | | | |              simplifying with (111), (138) gives:
% 195.82/32.92  | | | | | | | | | | |   (139)  all_12_1 = e0
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | BETA: splitting (125) gives:
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | Case 1:
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | |   (140)   ~ (all_46_0 = e1) & op(all_46_1, e3) = all_46_0 &
% 195.82/32.92  | | | | | | | | | | | |          op(e3, e2) = all_46_1 & $i(all_46_0) &
% 195.82/32.92  | | | | | | | | | | | |          $i(all_46_1)
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | | ALPHA: (140) implies:
% 195.82/32.92  | | | | | | | | | | | |   (141)   ~ (all_46_0 = e1)
% 195.82/32.92  | | | | | | | | | | | |   (142)  op(e3, e2) = all_46_1
% 195.82/32.92  | | | | | | | | | | | |   (143)  op(all_46_1, e3) = all_46_0
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | | REF_CLOSE: (2), (4), (6), (7), (9), (12), (13), (14), (15),
% 195.82/32.92  | | | | | | | | | | | |            (19), (20), (21), (22), (24), (25), (27), (29),
% 195.82/32.92  | | | | | | | | | | | |            (31), (33), (38), (44), (45), (46), (47), (50),
% 195.82/32.92  | | | | | | | | | | | |            (51), (52), (53), (55), (56), (58), (60), (62),
% 195.82/32.92  | | | | | | | | | | | |            (63), (64), (65), (66), (67), (68), (69), (70),
% 195.82/32.92  | | | | | | | | | | | |            (71), (74), (75), (76), (78), (80), (81), (82),
% 195.82/32.92  | | | | | | | | | | | |            (83), (84), (96), (102), (107), (111), (114),
% 195.82/32.92  | | | | | | | | | | | |            (119), (122), (141), (142), (143) are inconsistent
% 195.82/32.92  | | | | | | | | | | | |            by sub-proof #752.
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | Case 2:
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | |   (144)   ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 &
% 195.82/32.92  | | | | | | | | | | | |          $i(all_46_1)
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | | ALPHA: (144) implies:
% 195.82/32.92  | | | | | | | | | | | |   (145)   ~ (all_46_1 = e0)
% 195.82/32.92  | | | | | | | | | | | |   (146)  op(e3, e2) = all_46_1
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | | REF_CLOSE: (15), (111), (138), (145), (146) are inconsistent
% 195.82/32.92  | | | | | | | | | | | |            by sub-proof #765.
% 195.82/32.92  | | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | | End of split
% 195.82/32.92  | | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | | End of split
% 195.82/32.92  | | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | End of split
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | Case 2:
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | |   (147)  all_56_3 = e0 & op(e2, e2) = e0
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | ALPHA: (147) implies:
% 195.82/32.92  | | | | | | | | |   (148)  op(e2, e2) = e0
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | | REF_CLOSE: (1), (11), (14), (15), (18), (36), (44), (48),
% 195.82/32.92  | | | | | | | | |            (56), (66), (76), (80), (81), (83), (110), (148)
% 195.82/32.92  | | | | | | | | |            are inconsistent by sub-proof #874.
% 195.82/32.92  | | | | | | | | | 
% 195.82/32.92  | | | | | | | | End of split
% 195.82/32.92  | | | | | | | | 
% 195.82/32.92  | | | | | | | Case 2:
% 195.82/32.92  | | | | | | | | 
% 195.82/32.92  | | | | | | | |   (149)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 195.82/32.92  | | | | | | | |            op(e2, e0) = e0)
% 195.82/32.92  | | | | | | | | 
% 195.82/32.92  | | | | | | | | REF_CLOSE: (14), (15), (22), (23), (33), (46), (56), (62), (66),
% 195.82/32.92  | | | | | | | |            (76), (81), (83), (103), (149) are inconsistent by
% 195.82/32.92  | | | | | | | |            sub-proof #751.
% 195.82/32.92  | | | | | | | | 
% 195.82/32.92  | | | | | | | End of split
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | Case 2:
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | |   (150)  all_56_3 = e0 & op(e2, e2) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | ALPHA: (150) implies:
% 195.82/32.92  | | | | | | |   (151)  op(e2, e2) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | REF_CLOSE: (15), (19), (56), (151) are inconsistent by sub-proof
% 195.82/32.92  | | | | | | |            #1909.
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | End of split
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | Case 2:
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | |   (152)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 &
% 195.82/32.92  | | | | | |            op(e0, e2) = e0)
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | | BETA: splitting (152) gives:
% 195.82/32.92  | | | | | | 
% 195.82/32.92  | | | | | | Case 1:
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | |   (153)  all_56_7 = e0 & op(e1, e2) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | ALPHA: (153) implies:
% 195.82/32.92  | | | | | | |   (154)  all_56_7 = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | | REF_CLOSE: (2), (14), (15), (39), (40), (46), (56), (66), (76),
% 195.82/32.92  | | | | | | |            (77), (79), (81), (83), (154) are inconsistent by
% 195.82/32.92  | | | | | | |            sub-proof #750.
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | Case 2:
% 195.82/32.92  | | | | | | | 
% 195.82/32.92  | | | | | | |   (155)  all_56_13 = e0 & op(e0, e2) = e0
% 195.82/32.92  | | | | | | | 
% 195.82/32.93  | | | | | | | ALPHA: (155) implies:
% 195.82/32.93  | | | | | | |   (156)  op(e0, e2) = e0
% 195.82/32.93  | | | | | | | 
% 195.82/32.93  | | | | | | | REF_CLOSE: (15), (80), (102), (156) are inconsistent by sub-proof
% 195.82/32.93  | | | | | | |            #818.
% 195.82/32.93  | | | | | | | 
% 195.82/32.93  | | | | | | End of split
% 195.82/32.93  | | | | | | 
% 195.82/32.93  | | | | | End of split
% 195.82/32.93  | | | | | 
% 195.82/32.93  | | | | End of split
% 195.82/32.93  | | | | 
% 195.82/32.93  | | | End of split
% 195.82/32.93  | | | 
% 195.82/32.93  | | End of split
% 195.82/32.93  | | 
% 195.82/32.93  | Case 2:
% 195.82/32.93  | | 
% 195.82/32.93  | |   (157)  all_28_2 = e2
% 195.82/32.93  | | 
% 195.82/32.93  | | COMBINE_EQS: (72), (157) imply:
% 195.98/32.93  | |   (158)  all_14_2 = e2
% 195.98/32.93  | | 
% 195.98/32.93  | | SIMP: (158) implies:
% 195.98/32.93  | |   (159)  all_14_2 = e2
% 195.98/32.93  | | 
% 195.98/32.93  | | REDUCE: (57), (159) imply:
% 195.98/32.93  | |   (160)   ~ (all_52_11 = e2)
% 195.98/32.93  | | 
% 195.98/32.93  | | REDUCE: (42), (159) imply:
% 195.98/32.93  | |   (161)   ~ (all_52_14 = e2)
% 195.98/32.93  | | 
% 195.98/32.93  | | REDUCE: (47), (159) imply:
% 195.98/32.93  | |   (162)   ~ (e3 = e2)
% 195.98/32.93  | | 
% 195.98/32.93  | | REDUCE: (6), (159) imply:
% 195.98/32.93  | |   (163)  op(e0, e0) = e2
% 195.98/32.93  | | 
% 195.98/32.93  | | BETA: splitting (22) gives:
% 195.98/32.93  | | 
% 195.98/32.93  | | Case 1:
% 195.98/32.93  | | | 
% 195.98/32.93  | | |   (164)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 195.98/32.93  | | |            e2)
% 195.98/32.93  | | | 
% 195.98/32.93  | | | BETA: splitting (164) gives:
% 195.98/32.93  | | | 
% 195.98/32.93  | | | Case 1:
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | |   (165)  all_56_4 = e2 & op(e3, e1) = e2
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | | REF_CLOSE: (15), (51), (74), (165) are inconsistent by sub-proof #810.
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | Case 2:
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | |   (166)  all_56_5 = e2 & op(e2, e1) = e2
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | | ALPHA: (166) implies:
% 195.98/32.93  | | | |   (167)  op(e2, e1) = e2
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | | REF_CLOSE: (2), (5), (14), (15), (19), (32), (33), (34), (38), (40),
% 195.98/32.93  | | | |            (41), (45), (46), (52), (54), (56), (65), (66), (68), (69),
% 195.98/32.93  | | | |            (71), (75), (76), (77), (81), (82), (83), (161), (163), (167)
% 195.98/32.93  | | | |            are inconsistent by sub-proof #746.
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | End of split
% 195.98/32.93  | | | 
% 195.98/32.93  | | Case 2:
% 195.98/32.93  | | | 
% 195.98/32.93  | | |   (168)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1)
% 195.98/32.93  | | |            = e2)
% 195.98/32.93  | | | 
% 195.98/32.93  | | | REF_CLOSE: (15), (45), (46), (81), (160), (168) are inconsistent by
% 195.98/32.93  | | |            sub-proof #761.
% 195.98/32.93  | | | 
% 195.98/32.93  | | End of split
% 195.98/32.93  | | 
% 195.98/32.93  | End of split
% 195.98/32.93  | 
% 195.98/32.93  End of proof
% 195.98/32.93  
% 195.98/32.93  Sub-proof #746 shows that the following formulas are inconsistent:
% 195.98/32.93  ----------------------------------------------------------------
% 195.98/32.93    (1)  op(e1, e3) = all_52_2
% 195.98/32.93    (2)   ~ (all_52_14 = e0)
% 195.98/32.93    (3)   ~ (e3 = e2)
% 195.98/32.93    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.93    (5)  op(e2, e2) = e1
% 195.98/32.93    (6)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 195.98/32.93    (7)   ~ (all_52_14 = e2)
% 195.98/32.93    (8)  op(e2, e0) = all_52_13
% 195.98/32.93    (9)  op(e1, e0) = all_52_14
% 195.98/32.93    (10)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.98/32.93              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.98/32.93            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.98/32.93            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.98/32.93            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.98/32.93            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.98/32.93            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.98/32.93            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.98/32.93            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.98/32.93            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.98/32.93            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.98/32.93            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.98/32.93            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.93            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/32.93            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.98/32.93            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.93            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.98/32.93            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.98/32.93            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.93            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.98/32.93            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.98/32.93            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.93            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.98/32.93            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.98/32.93            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.93            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.98/32.93            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.98/32.93            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.93            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.93            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.98/32.93            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.98/32.93            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.98/32.93            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.98/32.93            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.98/32.93            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.93            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.98/32.93            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.93            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.98/32.93            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.98/32.93            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.93            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.98/32.93            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.98/32.93            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.93            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.98/32.93            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.98/32.93            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.93            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.98/32.93            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.98/32.93              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.98/32.93            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.98/32.93            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.98/32.93              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.98/32.93            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.98/32.93            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.98/32.93                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.98/32.93                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.93                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.98/32.93                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.98/32.93                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.98/32.93                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.98/32.93                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.98/32.93              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.98/32.93                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.98/32.93                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/32.93                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.98/32.93                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.98/32.93                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.98/32.93                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.93                $i(all_57_7))))
% 195.98/32.93    (11)   ~ (all_52_2 = e2)
% 195.98/32.93    (12)   ~ (all_52_12 = all_52_14)
% 195.98/32.93    (13)  op(e0, e1) = all_52_11
% 195.98/32.93    (14)  op(e1, e1) = e0
% 195.98/32.93    (15)  op(e3, e3) = e2
% 195.98/32.93    (16)  all_54_11 = all_52_14
% 195.98/32.93    (17)   ~ (e1 = e0)
% 195.98/32.93    (18)   ~ (all_52_1 = e2)
% 195.98/32.93    (19)   ~ (e2 = e1)
% 195.98/32.93    (20)   ~ (all_52_11 = e0)
% 195.98/32.93    (21)  op(e3, e0) = all_52_12
% 195.98/32.93    (22)  op(e2, e1) = all_52_9
% 195.98/32.93    (23)  op(e0, e0) = e2
% 195.98/32.93    (24)   ~ (all_52_9 = all_52_13)
% 195.98/32.93    (25)   ~ (e3 = e1)
% 195.98/32.93    (26)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.98/32.93          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.98/32.93    (27)   ~ (e2 = e0)
% 195.98/32.93    (28)  op(e2, e3) = all_52_1
% 195.98/32.93    (29)  op(e2, e1) = e2
% 195.98/32.93    (30)   ~ (e3 = e0)
% 195.98/32.93  
% 195.98/32.93  Begin of proof
% 195.98/32.93  | 
% 195.98/32.93  | BETA: splitting (26) gives:
% 195.98/32.93  | 
% 195.98/32.93  | Case 1:
% 195.98/32.93  | | 
% 195.98/32.93  | |   (31)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 195.98/32.93  | |           e2)
% 195.98/32.93  | | 
% 195.98/32.93  | | BETA: splitting (31) gives:
% 195.98/32.93  | | 
% 195.98/32.93  | | Case 1:
% 195.98/32.93  | | | 
% 195.98/32.93  | | |   (32)  all_56_6 = e2 & op(e1, e3) = e2
% 195.98/32.93  | | | 
% 195.98/32.93  | | | REF_CLOSE: (1), (4), (11), (32) are inconsistent by sub-proof #796.
% 195.98/32.93  | | | 
% 195.98/32.93  | | Case 2:
% 195.98/32.93  | | | 
% 195.98/32.93  | | |   (33)  all_56_7 = e2 & op(e1, e2) = e2
% 195.98/32.93  | | | 
% 195.98/32.93  | | | ALPHA: (33) implies:
% 195.98/32.93  | | |   (34)  op(e1, e2) = e2
% 195.98/32.93  | | | 
% 195.98/32.93  | | | BETA: splitting (10) gives:
% 195.98/32.93  | | | 
% 195.98/32.93  | | | Case 1:
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | |   (35)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.93  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.98/32.93  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.98/32.93  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.98/32.93  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.98/32.93  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 195.98/32.93  | | | |           e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.98/32.93  | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 195.98/32.93  | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.98/32.93  | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.98/32.93  | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 195.98/32.93  | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.93  | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.98/32.93  | | | |           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.98/32.93  | | | |           (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 195.98/32.93  | | | |           & op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/32.93  | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 =
% 195.98/32.93  | | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.98/32.93  | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 195.98/32.93  | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.98/32.93  | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.98/32.93  | | | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 195.98/32.93  | | | |           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.98/32.93  | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.98/32.93  | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.93  | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.98/32.93  | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.98/32.93  | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 195.98/32.93  | | | |           & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.98/32.93  | | | |           $i(all_57_7) & $i(all_57_10))
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | | BETA: splitting (35) gives:
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | | Case 1:
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | |   (36)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.93  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 195.98/32.93  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.98/32.93  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.98/32.93  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.98/32.93  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 195.98/32.93  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.98/32.93  | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 195.98/32.93  | | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.98/32.93  | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.98/32.93  | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 195.98/32.93  | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 195.98/32.93  | | | | |           & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.98/32.93  | | | | |           $i(all_57_14))
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | | BETA: splitting (36) gives:
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | | Case 1:
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | |   (37)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.93  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.98/32.93  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.98/32.93  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 195.98/32.93  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 195.98/32.93  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.98/32.93  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | | REF_CLOSE: (4), (18), (28), (37) are inconsistent by sub-proof
% 195.98/32.93  | | | | | |            #1784.
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | Case 2:
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | |   (38)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.93  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 195.98/32.93  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 195.98/32.93  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.98/32.93  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.98/32.93  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 195.98/32.93  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | | BETA: splitting (38) gives:
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | | Case 1:
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | |   (39)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.93  | | | | | | |         (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 195.98/32.93  | | | | | | |         & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 195.98/32.93  | | | | | | |         & $i(all_57_14)
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | ALPHA: (39) implies:
% 195.98/32.93  | | | | | | |   (40)  op(e2, e2) = e3
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | REF_CLOSE: (4), (5), (25), (40) are inconsistent by sub-proof
% 195.98/32.93  | | | | | | |            #1679.
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | Case 2:
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | |   (41)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 195.98/32.93  | | | | | | |         (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 195.98/32.93  | | | | | | |         all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.98/32.93  | | | | | | |         $i(all_57_2) & $i(all_57_14)
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | ALPHA: (41) implies:
% 195.98/32.93  | | | | | | |   (42)  op(e0, e0) = e3
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | REF_CLOSE: (3), (4), (23), (42) are inconsistent by sub-proof
% 195.98/32.93  | | | | | | |            #1692.
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | End of split
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | End of split
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | Case 2:
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | |   (43)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.98/32.93  | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3
% 195.98/32.93  | | | | |           & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.98/32.93  | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.98/32.93  | | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.98/32.93  | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 195.98/32.93  | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1
% 195.98/32.93  | | | | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2)
% 195.98/32.93  | | | | |           & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 195.98/32.93  | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.98/32.93  | | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.98/32.93  | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 195.98/32.93  | | | | |           & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.98/32.93  | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.98/32.93  | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.98/32.93  | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.98/32.93  | | | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | | BETA: splitting (43) gives:
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | | Case 1:
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | |   (44)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.98/32.93  | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 195.98/32.93  | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/32.93  | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15
% 195.98/32.93  | | | | | |           = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3,
% 195.98/32.93  | | | | | |             e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.98/32.93  | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | | REF_CLOSE: (4), (15), (44) are inconsistent by sub-proof #798.
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | Case 2:
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | |   (45)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/32.93  | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 195.98/32.93  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 195.98/32.93  | | | | | |           & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 195.98/32.93  | | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.98/32.93  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 195.98/32.93  | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 195.98/32.93  | | | | | |           e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 195.98/32.93  | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 195.98/32.93  | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.98/32.93  | | | | | |           $i(all_57_10))
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | | BETA: splitting (45) gives:
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | | Case 1:
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | |   (46)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/32.93  | | | | | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 195.98/32.93  | | | | | | |         & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 195.98/32.93  | | | | | | |         & $i(all_57_14)
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | ALPHA: (46) implies:
% 195.98/32.93  | | | | | | |   (47)  op(e1, e2) = e1
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | REF_CLOSE: (4), (19), (34), (47) are inconsistent by sub-proof
% 195.98/32.93  | | | | | | |            #784.
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | Case 2:
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | |   (48)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.98/32.93  | | | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 195.98/32.93  | | | | | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.98/32.93  | | | | | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.98/32.93  | | | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 195.98/32.93  | | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.93  | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.98/32.93  | | | | | | |           $i(all_57_10))
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | BETA: splitting (48) gives:
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | Case 1:
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | |   (49)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.98/32.93  | | | | | | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 195.98/32.93  | | | | | | | |         all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.98/32.93  | | | | | | | |         $i(all_57_5) & $i(all_57_14)
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | ALPHA: (49) implies:
% 195.98/32.93  | | | | | | | |   (50)  op(e1, e2) = e1
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | REF_CLOSE: (4), (19), (34), (50) are inconsistent by sub-proof
% 195.98/32.93  | | | | | | | |            #784.
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | Case 2:
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | |   (51)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.98/32.93  | | | | | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 195.98/32.93  | | | | | | | |         e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.98/32.93  | | | | | | | |         $i(all_57_7) & $i(all_57_10)
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | ALPHA: (51) implies:
% 195.98/32.93  | | | | | | | |   (52)   ~ (all_57_7 = e2)
% 195.98/32.93  | | | | | | | |   (53)  op(e2, e1) = all_57_7
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | REF_CLOSE: (4), (29), (52), (53) are inconsistent by sub-proof
% 195.98/32.93  | | | | | | | |            #1718.
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | End of split
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | End of split
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | End of split
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | End of split
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | Case 2:
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | |   (54)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/32.93  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.93  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.93  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.98/32.93  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.98/32.93  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.98/32.93  | | | |           e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.98/32.93  | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 195.98/32.93  | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.98/32.93  | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.98/32.93  | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.98/32.93  | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.93  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.98/32.93  | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.98/32.93  | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.98/32.93  | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.98/32.93  | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 &
% 195.98/32.93  | | | |           all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 = e0) &
% 195.98/32.93  | | | |           op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 195.98/32.93  | | | |           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.98/32.93  | | | |         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 195.98/32.93  | | | |           (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.93  | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.98/32.93  | | | |           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 195.98/32.93  | | | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.98/32.93  | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 195.98/32.93  | | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.98/32.93  | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.98/32.93  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.98/32.93  | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.98/32.93  | | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.98/32.93  | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3)
% 195.98/32.93  | | | |               & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.98/32.93  | | | |               e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.98/32.93  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.98/32.93  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.98/32.93  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.98/32.93  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 195.98/32.93  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.98/32.93  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.98/32.93  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 195.98/32.93  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.98/32.93  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 195.98/32.93  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 195.98/32.93  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.98/32.93  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.98/32.93  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | | BETA: splitting (54) gives:
% 195.98/32.93  | | | | 
% 195.98/32.93  | | | | Case 1:
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | |   (55)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/32.93  | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 195.98/32.93  | | | | |           & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.93  | | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.98/32.93  | | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.98/32.93  | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 195.98/32.93  | | | | |           = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.98/32.93  | | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 195.98/32.93  | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.98/32.93  | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.98/32.93  | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.98/32.93  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 195.98/32.93  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.98/32.93  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.98/32.93  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.98/32.93  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.98/32.93  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | | BETA: splitting (55) gives:
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | | Case 1:
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | |   (56)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/32.93  | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 195.98/32.93  | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.98/32.93  | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 & all_57_10
% 195.98/32.93  | | | | | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3,
% 195.98/32.93  | | | | | |             e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.98/32.93  | | | | | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.98/32.93  | | | | | |           $i(all_57_12))
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | | REF_CLOSE: (4), (15), (19), (23), (56) are inconsistent by sub-proof
% 195.98/32.93  | | | | | |            #811.
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | Case 2:
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | |   (57)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/32.93  | | | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.98/32.93  | | | | | |           e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.98/32.93  | | | | | |           $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12
% 195.98/32.93  | | | | | |           = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3,
% 195.98/32.93  | | | | | |             e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.98/32.93  | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 195.98/32.93  | | | | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.98/32.93  | | | | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 195.98/32.93  | | | | | |           e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/32.93  | | | | | |           $i(all_57_10) & $i(all_57_13))
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | | BETA: splitting (57) gives:
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | | Case 1:
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | |   (58)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/32.93  | | | | | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) =
% 195.98/32.93  | | | | | | |         e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.98/32.93  | | | | | | |         $i(all_57_8) & $i(all_57_12)
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | ALPHA: (58) implies:
% 195.98/32.93  | | | | | | |   (59)  op(e0, e0) = e1
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | REF_CLOSE: (4), (19), (23), (59) are inconsistent by sub-proof
% 195.98/32.93  | | | | | | |            #1780.
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | Case 2:
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | |   (60)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.98/32.93  | | | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 195.98/32.93  | | | | | | |           e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.98/32.93  | | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.98/32.93  | | | | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 195.98/32.93  | | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.93  | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10)
% 195.98/32.93  | | | | | | |           & $i(all_57_13))
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | BETA: splitting (60) gives:
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | | Case 1:
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | |   (61)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) & 
% 195.98/32.93  | | | | | | | |         ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0)
% 195.98/32.93  | | | | | | | |         = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.98/32.93  | | | | | | | |         $i(all_57_10) & $i(all_57_11)
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | ALPHA: (61) implies:
% 195.98/32.93  | | | | | | | |   (62)  op(e2, e2) = e0
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | REF_CLOSE: (4), (5), (17), (62) are inconsistent by sub-proof
% 195.98/32.93  | | | | | | | |            #1909.
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | Case 2:
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | |   (63)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) & 
% 195.98/32.93  | | | | | | | |         ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 195.98/32.93  | | | | | | | |         = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/32.93  | | | | | | | |         $i(all_57_10) & $i(all_57_13)
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | ALPHA: (63) implies:
% 195.98/32.93  | | | | | | | |   (64)   ~ (all_57_13 = e1)
% 195.98/32.93  | | | | | | | |   (65)  op(e1, e0) = all_57_13
% 195.98/32.93  | | | | | | | |   (66)  op(e3, e0) = e3
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | GROUND_INST: instantiating (4) with all_52_14, all_57_13, e0,
% 195.98/32.93  | | | | | | | |              e1, simplifying with (9), (65) gives:
% 195.98/32.93  | | | | | | | |   (67)  all_57_13 = all_52_14
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | GROUND_INST: instantiating (4) with all_52_12, e3, e0, e3,
% 195.98/32.93  | | | | | | | |              simplifying with (21), (66) gives:
% 195.98/32.93  | | | | | | | |   (68)  all_52_12 = e3
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | REDUCE: (64), (67) imply:
% 195.98/32.93  | | | | | | | |   (69)   ~ (all_52_14 = e1)
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | REDUCE: (12), (68) imply:
% 195.98/32.93  | | | | | | | |   (70)   ~ (all_52_14 = e3)
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | SIMP: (70) implies:
% 195.98/32.93  | | | | | | | |   (71)   ~ (all_52_14 = e3)
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | | REF_CLOSE: (2), (6), (7), (16), (69), (71) are inconsistent by
% 195.98/32.93  | | | | | | | |            sub-proof #749.
% 195.98/32.93  | | | | | | | | 
% 195.98/32.93  | | | | | | | End of split
% 195.98/32.93  | | | | | | | 
% 195.98/32.93  | | | | | | End of split
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | End of split
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | Case 2:
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | |   (72)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.98/32.93  | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.93  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.98/32.93  | | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.98/32.93  | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.98/32.93  | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 195.98/32.93  | | | | |           = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 195.98/32.93  | | | | |           all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.98/32.93  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.98/32.93  | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 195.98/32.93  | | | | |         (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.98/32.93  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.98/32.93  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.98/32.93  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/32.93  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.93  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.98/32.93  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.98/32.93  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.98/32.93  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.98/32.93  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.98/32.93  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.98/32.93  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.98/32.93  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.98/32.93  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.98/32.93  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.98/32.93  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/32.93  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.98/32.93  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.98/32.93  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.98/32.93  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.98/32.93  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.93  | | | | |               $i(all_57_7))))
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | | BETA: splitting (72) gives:
% 195.98/32.93  | | | | | 
% 195.98/32.93  | | | | | Case 1:
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | |   (73)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.98/32.93  | | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9
% 195.98/32.93  | | | | | |           & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 195.98/32.93  | | | | | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 195.98/32.93  | | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.98/32.93  | | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1,
% 195.98/32.93  | | | | | |             e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | | REF_CLOSE: (4), (15), (27), (73) are inconsistent by sub-proof #819.
% 195.98/32.93  | | | | | | 
% 195.98/32.93  | | | | | Case 2:
% 195.98/32.93  | | | | | | 
% 195.98/32.94  | | | | | |   (74)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.98/32.94  | | | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) =
% 195.98/32.94  | | | | | |           e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/32.94  | | | | | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.98/32.94  | | | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0)
% 195.98/32.94  | | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.98/32.94  | | | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.98/32.94  | | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/32.94  | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.94  | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2)
% 195.98/32.94  | | | | | |               = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 =
% 195.98/32.94  | | | | | |               e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.94  | | | | | |               (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1)
% 195.98/32.94  | | | | | |               = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.98/32.94  | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/32.94  | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.94  | | | | | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 195.98/32.94  | | | | | |               = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.98/32.94  | | | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1)
% 195.98/32.94  | | | | | |               = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.98/32.94  | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.98/32.94  | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.98/32.94  | | | | | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 195.98/32.94  | | | | | |               = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.98/32.94  | | | | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.98/32.94  | | | | | |               all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.98/32.94  | | | | | | 
% 195.98/32.94  | | | | | | BETA: splitting (74) gives:
% 195.98/32.94  | | | | | | 
% 195.98/32.94  | | | | | | Case 1:
% 195.98/32.94  | | | | | | | 
% 195.98/32.94  | | | | | | |   (75)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 195.98/32.94  | | | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) =
% 195.98/32.94  | | | | | | |         e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/32.94  | | | | | | |         $i(all_57_12) & $i(all_57_13)
% 195.98/32.94  | | | | | | | 
% 195.98/32.94  | | | | | | | ALPHA: (75) implies:
% 195.98/32.94  | | | | | | |   (76)  op(e2, e0) = e2
% 195.98/32.94  | | | | | | | 
% 195.98/32.94  | | | | | | | REF_CLOSE: (4), (8), (22), (24), (29), (76) are inconsistent by
% 195.98/32.94  | | | | | | |            sub-proof #1887.
% 195.98/32.94  | | | | | | | 
% 195.98/32.94  | | | | | | Case 2:
% 195.98/32.94  | | | | | | | 
% 195.98/32.94  | | | | | | |   (77)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 195.98/32.94  | | | | | | |           ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 195.98/32.94  | | | | | | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.98/32.94  | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 195.98/32.94  | | | | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 195.98/32.94  | | | | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.98/32.94  | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.94  | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.98/32.94  | | | | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.98/32.94  | | | | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.98/32.94  | | | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.98/32.94  | | | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.98/32.94  | | | | | | |               e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.98/32.94  | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.98/32.94  | | | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.98/32.94  | | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.98/32.94  | | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/32.94  | | | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.98/32.94  | | | | | | |               e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.98/32.94  | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.98/32.94  | | | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.98/32.94  | | | | | | |               e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.94  | | | | | | |               $i(all_57_7))))
% 195.98/32.94  | | | | | | | 
% 195.98/32.94  | | | | | | | BETA: splitting (77) gives:
% 195.98/32.94  | | | | | | | 
% 195.98/32.94  | | | | | | | Case 1:
% 195.98/32.94  | | | | | | | | 
% 195.98/32.94  | | | | | | | |   (78)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 195.98/32.94  | | | | | | | |         ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 195.98/32.94  | | | | | | | |         all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.98/32.94  | | | | | | | |         $i(all_57_11) & $i(all_57_14)
% 195.98/32.94  | | | | | | | | 
% 195.98/32.94  | | | | | | | | ALPHA: (78) implies:
% 195.98/32.94  | | | | | | | |   (79)   ~ (all_57_14 = e0)
% 195.98/32.94  | | | | | | | |   (80)  op(e1, e1) = all_57_14
% 195.98/32.94  | | | | | | | | 
% 195.98/32.94  | | | | | | | | REF_CLOSE: (4), (14), (79), (80) are inconsistent by sub-proof
% 195.98/32.94  | | | | | | | |            #1636.
% 195.98/32.94  | | | | | | | | 
% 195.98/32.94  | | | | | | | Case 2:
% 195.98/32.94  | | | | | | | | 
% 195.98/32.94  | | | | | | | |   (81)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0
% 195.98/32.94  | | | | | | | |             & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.94  | | | | | | | |             (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.98/32.94  | | | | | | | |               e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.98/32.94  | | | | | | | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.98/32.94  | | | | | | | |              ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 195.98/32.94  | | | | | | | |               e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.98/32.94  | | | | | | | |           (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &
% 195.98/32.94  | | | | | | | |              ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.94  | | | | | | | |             all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.98/32.94  | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 195.98/32.94  | | | | | | | |              ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1,
% 195.98/32.94  | | | | | | | |               e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.98/32.94  | | | | | | | |           (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &
% 195.98/32.94  | | | | | | | |              ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.98/32.94  | | | | | | | |             all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.98/32.94  | | | | | | | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 195.98/32.94  | | | | | | | |              ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.98/32.94  | | | | | | | |             all_57_7 & op(e0, e1) = e0 & $i(all_57_7)))
% 195.98/32.94  | | | | | | | | 
% 195.98/32.94  | | | | | | | | ALPHA: (81) implies:
% 195.98/32.94  | | | | | | | |   (82)  op(e0, e0) = all_57_15
% 195.98/32.94  | | | | | | | |   (83)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) & 
% 195.98/32.94  | | | | | | | |           ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.98/32.94  | | | | | | | |             e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.98/32.94  | | | | | | | |         (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.98/32.94  | | | | | | | |           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 195.98/32.94  | | | | | | | |             e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.98/32.94  | | | | | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 195.98/32.94  | | | | | | | |           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.94  | | | | | | | |           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 195.98/32.94  | | | | | | | |           = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.98/32.94  | | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1)
% 195.98/32.94  | | | | | | | |           = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.98/32.94  | | | | | | | |           e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.98/32.94  | | | | | | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.98/32.94  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 195.98/32.94  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.98/32.94  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.98/32.94  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.98/32.94  | | | | | | | | 
% 195.98/32.94  | | | | | | | | REF_CLOSE: (4), (5), (13), (14), (19), (20), (23), (25), (27),
% 195.98/32.94  | | | | | | | |            (30), (82), (83) are inconsistent by sub-proof #747.
% 195.98/32.94  | | | | | | | | 
% 195.98/32.94  | | | | | | | End of split
% 195.98/32.94  | | | | | | | 
% 195.98/32.94  | | | | | | End of split
% 195.98/32.94  | | | | | | 
% 195.98/32.94  | | | | | End of split
% 195.98/32.94  | | | | | 
% 195.98/32.94  | | | | End of split
% 195.98/32.94  | | | | 
% 195.98/32.94  | | | End of split
% 195.98/32.94  | | | 
% 195.98/32.94  | | End of split
% 195.98/32.94  | | 
% 195.98/32.94  | Case 2:
% 195.98/32.94  | | 
% 195.98/32.94  | |   (84)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 195.98/32.94  | |           e2)
% 195.98/32.94  | | 
% 195.98/32.94  | | REF_CLOSE: (4), (7), (9), (14), (27), (84) are inconsistent by sub-proof
% 195.98/32.94  | |            #759.
% 195.98/32.94  | | 
% 195.98/32.94  | End of split
% 195.98/32.94  | 
% 195.98/32.94  End of proof
% 195.98/32.94  
% 195.98/32.94  Sub-proof #747 shows that the following formulas are inconsistent:
% 195.98/32.94  ----------------------------------------------------------------
% 195.98/32.94    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.94    (2)  op(e2, e2) = e1
% 195.98/32.94    (3)  op(e0, e0) = all_57_15
% 195.98/32.94    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.98/32.94             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.94           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.98/32.94           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.98/32.94             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.98/32.94           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.94           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.98/32.94           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.98/32.94           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.98/32.94           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.98/32.94           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.98/32.94         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.98/32.94             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.94           $i(all_57_7))
% 195.98/32.94    (5)  op(e0, e1) = all_52_11
% 195.98/32.94    (6)  op(e1, e1) = e0
% 195.98/32.94    (7)   ~ (e2 = e1)
% 195.98/32.94    (8)   ~ (all_52_11 = e0)
% 195.98/32.94    (9)  op(e0, e0) = e2
% 195.98/32.94    (10)   ~ (e3 = e1)
% 195.98/32.94    (11)   ~ (e2 = e0)
% 195.98/32.94    (12)   ~ (e3 = e0)
% 195.98/32.94  
% 195.98/32.94  Begin of proof
% 195.98/32.94  | 
% 195.98/32.94  | BETA: splitting (4) gives:
% 195.98/32.94  | 
% 195.98/32.94  | Case 1:
% 195.98/32.94  | | 
% 195.98/32.94  | |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 195.98/32.94  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.98/32.94  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.98/32.94  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.98/32.94  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 195.98/32.94  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.98/32.94  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.98/32.94  | |           $i(all_57_3))
% 195.98/32.94  | | 
% 195.98/32.94  | | BETA: splitting (13) gives:
% 195.98/32.94  | | 
% 195.98/32.94  | | Case 1:
% 195.98/32.94  | | | 
% 195.98/32.94  | | |   (14)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.94  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.98/32.94  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 195.98/32.94  | | | 
% 195.98/32.94  | | | ALPHA: (14) implies:
% 195.98/32.94  | | |   (15)  op(e2, e2) = e3
% 195.98/32.94  | | | 
% 195.98/32.94  | | | REF_CLOSE: (1), (2), (10), (15) are inconsistent by sub-proof #1679.
% 195.98/32.94  | | | 
% 195.98/32.94  | | Case 2:
% 195.98/32.94  | | | 
% 195.98/32.94  | | |   (16)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.94  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.98/32.94  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.98/32.94  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.98/32.94  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.98/32.94  | | | 
% 195.98/32.94  | | | BETA: splitting (16) gives:
% 195.98/32.94  | | | 
% 195.98/32.94  | | | Case 1:
% 195.98/32.94  | | | | 
% 195.98/32.94  | | | |   (17)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.94  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.98/32.94  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 195.98/32.94  | | | | 
% 195.98/32.94  | | | | ALPHA: (17) implies:
% 195.98/32.94  | | | |   (18)  op(e1, e1) = e3
% 195.98/32.94  | | | | 
% 195.98/32.94  | | | | REF_CLOSE: (1), (6), (12), (18) are inconsistent by sub-proof #1824.
% 195.98/32.94  | | | | 
% 195.98/32.94  | | | Case 2:
% 195.98/32.94  | | | | 
% 195.98/32.94  | | | |   (19)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/32.94  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.98/32.94  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 195.98/32.94  | | | | 
% 195.98/32.94  | | | | ALPHA: (19) implies:
% 195.98/32.94  | | | |   (20)   ~ (all_57_15 = e2)
% 195.98/32.94  | | | | 
% 195.98/32.94  | | | | REF_CLOSE: (1), (3), (9), (20) are inconsistent by sub-proof #748.
% 195.98/32.94  | | | | 
% 195.98/32.94  | | | End of split
% 195.98/32.94  | | | 
% 195.98/32.94  | | End of split
% 195.98/32.94  | | 
% 195.98/32.94  | Case 2:
% 195.98/32.94  | | 
% 195.98/32.94  | |   (21)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.98/32.94  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.98/32.94  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/32.94  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.98/32.94  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.98/32.94  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.98/32.94  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.94  | |           $i(all_57_7))
% 195.98/32.94  | | 
% 195.98/32.94  | | BETA: splitting (21) gives:
% 195.98/32.94  | | 
% 195.98/32.94  | | Case 1:
% 195.98/32.94  | | | 
% 195.98/32.94  | | |   (22)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.98/32.94  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/32.94  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 195.98/32.94  | | | 
% 195.98/32.94  | | | ALPHA: (22) implies:
% 195.98/32.94  | | |   (23)   ~ (all_57_15 = e2)
% 195.98/32.94  | | | 
% 195.98/32.94  | | | REF_CLOSE: (1), (3), (9), (23) are inconsistent by sub-proof #748.
% 195.98/32.94  | | | 
% 195.98/32.94  | | Case 2:
% 195.98/32.94  | | | 
% 195.98/32.94  | | |   (24)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.98/32.94  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.98/32.94  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.98/32.94  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.98/32.94  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.98/32.94  | | | 
% 195.98/32.94  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (10), (11), (12), (24) are
% 195.98/32.94  | | |            inconsistent by sub-proof #753.
% 195.98/32.94  | | | 
% 195.98/32.94  | | End of split
% 195.98/32.94  | | 
% 195.98/32.94  | End of split
% 195.98/32.94  | 
% 195.98/32.94  End of proof
% 195.98/32.94  
% 195.98/32.94  Sub-proof #748 shows that the following formulas are inconsistent:
% 195.98/32.94  ----------------------------------------------------------------
% 195.98/32.94    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.94    (2)  op(e0, e0) = all_57_15
% 195.98/32.94    (3)  op(e0, e0) = e2
% 195.98/32.94    (4)   ~ (all_57_15 = e2)
% 195.98/32.94  
% 195.98/32.94  Begin of proof
% 195.98/32.94  | 
% 195.98/32.94  | GROUND_INST: instantiating (1) with e2, all_57_15, e0, e0, simplifying with
% 195.98/32.94  |              (2), (3) gives:
% 195.98/32.94  |   (5)  all_57_15 = e2
% 195.98/32.94  | 
% 195.98/32.94  | REDUCE: (4), (5) imply:
% 195.98/32.94  |   (6)  $false
% 195.98/32.94  | 
% 195.98/32.94  | CLOSE: (6) is inconsistent.
% 195.98/32.94  | 
% 195.98/32.94  End of proof
% 195.98/32.94  
% 195.98/32.94  Sub-proof #749 shows that the following formulas are inconsistent:
% 195.98/32.94  ----------------------------------------------------------------
% 195.98/32.94    (1)   ~ (all_52_14 = e0)
% 195.98/32.94    (2)   ~ (all_52_14 = e3)
% 195.98/32.94    (3)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 195.98/32.94    (4)   ~ (all_52_14 = e2)
% 195.98/32.94    (5)   ~ (all_52_14 = e1)
% 195.98/32.94    (6)  all_54_11 = all_52_14
% 195.98/32.94  
% 195.98/32.94  Begin of proof
% 195.98/32.94  | 
% 195.98/32.94  | BETA: splitting (3) gives:
% 195.98/32.94  | 
% 195.98/32.94  | Case 1:
% 195.98/32.94  | | 
% 195.98/32.94  | |   (7)  all_54_11 = e3
% 195.98/32.94  | | 
% 195.98/32.94  | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #1277.
% 195.98/32.94  | | 
% 195.98/32.94  | Case 2:
% 195.98/32.94  | | 
% 195.98/32.94  | |   (8)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 195.98/32.94  | | 
% 195.98/32.94  | | REF_CLOSE: (1), (4), (5), (6), (8) are inconsistent by sub-proof #1335.
% 195.98/32.94  | | 
% 195.98/32.94  | End of split
% 195.98/32.94  | 
% 195.98/32.94  End of proof
% 195.98/32.94  
% 195.98/32.94  Sub-proof #750 shows that the following formulas are inconsistent:
% 195.98/32.94  ----------------------------------------------------------------
% 195.98/32.94    (1)  op(e1, e3) = all_52_2
% 195.98/32.94    (2)   ~ (e3 = e2)
% 195.98/32.94    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.94    (4)  all_56_7 = e0
% 195.98/32.94    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.98/32.94         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.98/32.94    (6)   ~ (all_52_2 = e2)
% 195.98/32.94    (7)  op(e1, e1) = e0
% 195.98/32.94    (8)   ~ (e1 = e0)
% 195.98/32.94    (9)   ~ (e2 = e1)
% 195.98/32.94    (10)   ~ (e3 = e1)
% 195.98/32.94    (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.98/32.94          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.98/32.94    (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.98/32.94          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.98/32.94    (13)   ~ (e2 = e0)
% 195.98/32.94    (14)   ~ (e3 = e0)
% 195.98/32.94  
% 195.98/32.94  Begin of proof
% 195.98/32.94  | 
% 195.98/32.94  | BETA: splitting (11) gives:
% 195.98/32.94  | 
% 195.98/32.94  | Case 1:
% 195.98/32.94  | | 
% 195.98/32.94  | |   (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 195.98/32.94  | |           e2)
% 195.98/32.94  | | 
% 195.98/32.94  | | BETA: splitting (15) gives:
% 195.98/32.94  | | 
% 195.98/32.94  | | Case 1:
% 195.98/32.94  | | | 
% 195.98/32.94  | | |   (16)  all_56_6 = e2 & op(e1, e3) = e2
% 195.98/32.94  | | | 
% 195.98/32.94  | | | REF_CLOSE: (1), (3), (6), (16) are inconsistent by sub-proof #796.
% 195.98/32.94  | | | 
% 195.98/32.94  | | Case 2:
% 195.98/32.94  | | | 
% 195.98/32.94  | | |   (17)  all_56_7 = e2 & op(e1, e2) = e2
% 195.98/32.94  | | | 
% 195.98/32.94  | | | ALPHA: (17) implies:
% 195.98/32.94  | | |   (18)  all_56_7 = e2
% 195.98/32.94  | | | 
% 195.98/32.94  | | | REF_CLOSE: (4), (13), (18) are inconsistent by sub-proof #1868.
% 195.98/32.94  | | | 
% 195.98/32.94  | | End of split
% 195.98/32.94  | | 
% 195.98/32.94  | Case 2:
% 195.98/32.94  | | 
% 195.98/32.94  | |   (19)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 195.98/32.94  | |           e2)
% 195.98/32.94  | | 
% 195.98/32.94  | | BETA: splitting (19) gives:
% 195.98/32.94  | | 
% 195.98/32.94  | | Case 1:
% 195.98/32.94  | | | 
% 195.98/32.94  | | |   (20)  all_56_8 = e2 & op(e1, e1) = e2
% 195.98/32.94  | | | 
% 195.98/32.94  | | | ALPHA: (20) implies:
% 195.98/32.94  | | |   (21)  op(e1, e1) = e2
% 195.98/32.94  | | | 
% 195.98/32.94  | | | REF_CLOSE: (3), (7), (13), (21) are inconsistent by sub-proof #1821.
% 195.98/32.94  | | | 
% 195.98/32.94  | | Case 2:
% 195.98/32.94  | | | 
% 195.98/32.94  | | |   (22)  all_56_11 = e2 & op(e1, e0) = e2
% 195.98/32.94  | | | 
% 195.98/32.94  | | | ALPHA: (22) implies:
% 195.98/32.94  | | |   (23)  all_56_11 = e2
% 195.98/32.94  | | | 
% 195.98/32.94  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (12), (14), (23) are
% 195.98/32.94  | | |            inconsistent by sub-proof #772.
% 195.98/32.94  | | | 
% 195.98/32.94  | | End of split
% 195.98/32.94  | | 
% 195.98/32.94  | End of split
% 195.98/32.94  | 
% 195.98/32.94  End of proof
% 195.98/32.94  
% 195.98/32.94  Sub-proof #751 shows that the following formulas are inconsistent:
% 195.98/32.94  ----------------------------------------------------------------
% 195.98/32.94    (1)   ~ (e3 = e2)
% 195.98/32.94    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.94    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.98/32.94         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.98/32.94    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.98/32.94         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.98/32.94    (5)  op(e2, e0) = all_52_13
% 195.98/32.94    (6)  op(e1, e1) = e0
% 195.98/32.94    (7)   ~ (e1 = e0)
% 195.98/32.94    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.98/32.94         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.98/32.94    (9)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 195.98/32.94    (10)   ~ (e2 = e1)
% 195.98/32.94    (11)   ~ (all_52_13 = e0)
% 195.98/32.94    (12)   ~ (e3 = e1)
% 195.98/32.94    (13)   ~ (e2 = e0)
% 195.98/32.94    (14)   ~ (e3 = e0)
% 195.98/32.94  
% 195.98/32.94  Begin of proof
% 195.98/32.94  | 
% 195.98/32.94  | BETA: splitting (9) gives:
% 195.98/32.94  | 
% 195.98/32.94  | Case 1:
% 195.98/32.94  | | 
% 195.98/32.94  | |   (15)  all_56_5 = e0 & op(e2, e1) = e0
% 195.98/32.94  | | 
% 195.98/32.94  | | ALPHA: (15) implies:
% 195.98/32.94  | |   (16)  all_56_5 = e0
% 195.98/32.94  | | 
% 195.98/32.94  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (10), (12), (13), (14), (16)
% 195.98/32.94  | |            are inconsistent by sub-proof #1551.
% 195.98/32.94  | | 
% 195.98/32.94  | Case 2:
% 195.98/32.94  | | 
% 195.98/32.94  | |   (17)  all_56_10 = e0 & op(e2, e0) = e0
% 195.98/32.94  | | 
% 195.98/32.94  | | ALPHA: (17) implies:
% 195.98/32.94  | |   (18)  op(e2, e0) = e0
% 195.98/32.94  | | 
% 195.98/32.94  | | REF_CLOSE: (2), (5), (11), (18) are inconsistent by sub-proof #1173.
% 195.98/32.94  | | 
% 195.98/32.94  | End of split
% 195.98/32.94  | 
% 195.98/32.94  End of proof
% 195.98/32.94  
% 195.98/32.94  Sub-proof #752 shows that the following formulas are inconsistent:
% 195.98/32.94  ----------------------------------------------------------------
% 195.98/32.94    (1)  op(all_46_1, e3) = all_46_0
% 195.98/32.94    (2)   ~ (all_52_7 = e0)
% 195.98/32.94    (3)  op(e1, e3) = all_52_2
% 195.98/32.94    (4)  op(e1, e2) = all_52_6
% 195.98/32.94    (5)  op(e0, e0) = all_14_2
% 195.98/32.94    (6)   ~ (all_52_3 = e2)
% 195.98/32.94    (7)   ~ (all_14_2 = e1)
% 195.98/32.94    (8)  all_54_2 = all_52_8
% 195.98/32.94    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.98/32.94         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.98/32.94    (10)   ~ (e3 = e2)
% 195.98/32.94    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.94    (12)  op(e2, e2) = e1
% 195.98/32.94    (13)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/32.94    (14)   ~ (all_52_7 = all_52_11)
% 195.98/32.94    (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 195.98/32.94          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.98/32.94    (16)   ~ (all_52_3 = all_52_7)
% 195.98/32.94    (17)  all_54_12 = all_52_3
% 195.98/32.94    (18)  all_54_13 = all_52_7
% 195.98/32.94    (19)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.98/32.94          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.98/32.94            e1)
% 195.98/32.94    (20)   ~ (all_46_0 = e1)
% 195.98/32.94    (21)  op(e0, e3) = all_52_3
% 195.98/32.94    (22)  op(e2, e0) = all_52_13
% 195.98/32.94    (23)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.98/32.94              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.98/32.94            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.98/32.94            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.98/32.94            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.98/32.94            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.98/32.94            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.98/32.94            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.98/32.94            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.98/32.94            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.98/32.94            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.98/32.94            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.98/32.94            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.94            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/32.94            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.98/32.94            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.94            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.98/32.94            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.98/32.94            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.94            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.98/32.94            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.98/32.94            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.94            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.98/32.94            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.98/32.94            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.94            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.98/32.94            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.98/32.94            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.94            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.94            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.98/32.94            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.98/32.94            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.98/32.94            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.98/32.94            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.98/32.94            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.94            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.98/32.94            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.94            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.98/32.94            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.98/32.94            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.94            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.98/32.94            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.98/32.94            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.94            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.98/32.94            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.98/32.94            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.94            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.98/32.94            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.98/32.94              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.98/32.94            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.98/32.94            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.98/32.94              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.98/32.94            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.98/32.94            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.98/32.94                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.98/32.94                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.94                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.98/32.94                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.98/32.94                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.98/32.94                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.98/32.94                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.98/32.94              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.98/32.94                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.98/32.94                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/32.94                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.98/32.94                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.98/32.94                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.98/32.94                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.94                $i(all_57_7))))
% 195.98/32.94    (24)  op(e3, e2) = e0
% 195.98/32.94    (25)   ~ (all_52_7 = e1)
% 195.98/32.94    (26)  op(e0, e1) = all_52_11
% 195.98/32.94    (27)  op(e1, e1) = e0
% 195.98/32.94    (28)   ~ (all_14_2 = e3)
% 195.98/32.94    (29)   ~ (all_52_8 = all_52_12)
% 195.98/32.94    (30)   ~ (all_52_8 = e2)
% 195.98/32.94    (31)  op(e3, e3) = e2
% 195.98/32.94    (32)  all_54_15 = all_14_2
% 195.98/32.94    (33)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 195.98/32.94    (34)   ~ (e1 = e0)
% 195.98/32.94    (35)   ~ (all_52_8 = all_52_11)
% 195.98/32.94    (36)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.98/32.94          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.98/32.94    (37)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.98/32.94          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.98/32.94    (38)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.98/32.94    (39)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.98/32.94    (40)   ~ (all_52_1 = e2)
% 195.98/32.94    (41)   ~ (e2 = e1)
% 195.98/32.94    (42)  all_54_14 = all_52_11
% 195.98/32.94    (43)   ~ (all_52_11 = e0)
% 195.98/32.94    (44)   ~ (all_52_3 = e0)
% 195.98/32.94    (45)  op(e3, e0) = all_52_12
% 195.98/32.94    (46)  all_56_2 = e0
% 195.98/32.94    (47)   ~ (all_52_2 = all_52_3)
% 195.98/32.94    (48)  op(e2, e1) = all_52_9
% 195.98/32.94    (49)  op(e0, e0) = e0
% 195.98/32.94    (50)  op(e3, e1) = all_52_8
% 195.98/32.94    (51)   ~ (all_52_9 = all_52_13)
% 195.98/32.94    (52)   ~ (e3 = e1)
% 195.98/32.94    (53)   ~ (all_52_6 = e1)
% 195.98/32.94    (54)  all_54_15 = e1 | all_54_15 = e0
% 195.98/32.94    (55)  op(e0, e2) = all_52_7
% 195.98/32.94    (56)   ~ (e2 = e0)
% 195.98/32.94    (57)  op(e2, e3) = all_52_1
% 195.98/32.94    (58)  op(e3, e2) = all_46_1
% 195.98/32.94    (59)   ~ (all_52_8 = e0)
% 195.98/32.94    (60)   ~ (e3 = e0)
% 195.98/32.94    (61)   ~ (all_52_3 = all_52_11)
% 195.98/32.94  
% 195.98/32.94  Begin of proof
% 195.98/32.94  | 
% 195.98/32.94  | GROUND_INST: instantiating (11) with e0, all_46_1, e2, e3, simplifying with
% 195.98/32.94  |              (24), (58) gives:
% 195.98/32.94  |   (62)  all_46_1 = e0
% 195.98/32.94  | 
% 195.98/32.94  | REDUCE: (1), (62) imply:
% 195.98/32.94  |   (63)  op(e0, e3) = all_46_0
% 195.98/32.94  | 
% 195.98/32.94  | GROUND_INST: instantiating (11) with all_52_3, all_46_0, e3, e0, simplifying
% 195.98/32.94  |              with (21), (63) gives:
% 195.98/32.94  |   (64)  all_52_3 = all_46_0
% 195.98/32.94  | 
% 195.98/32.94  | COMBINE_EQS: (17), (64) imply:
% 195.98/32.95  |   (65)  all_54_12 = all_46_0
% 195.98/32.95  | 
% 195.98/32.95  | REDUCE: (47), (64) imply:
% 195.98/32.95  |   (66)   ~ (all_52_2 = all_46_0)
% 195.98/32.95  | 
% 195.98/32.95  | REDUCE: (16), (64) imply:
% 195.98/32.95  |   (67)   ~ (all_52_7 = all_46_0)
% 195.98/32.95  | 
% 195.98/32.95  | SIMP: (67) implies:
% 195.98/32.95  |   (68)   ~ (all_52_7 = all_46_0)
% 195.98/32.95  | 
% 195.98/32.95  | REDUCE: (61), (64) imply:
% 195.98/32.95  |   (69)   ~ (all_52_11 = all_46_0)
% 195.98/32.95  | 
% 195.98/32.95  | SIMP: (69) implies:
% 195.98/32.95  |   (70)   ~ (all_52_11 = all_46_0)
% 195.98/32.95  | 
% 195.98/32.95  | REDUCE: (6), (64) imply:
% 195.98/32.95  |   (71)   ~ (all_46_0 = e2)
% 195.98/32.95  | 
% 195.98/32.95  | REDUCE: (44), (64) imply:
% 195.98/32.95  |   (72)   ~ (all_46_0 = e0)
% 195.98/32.95  | 
% 195.98/32.95  | BETA: splitting (19) gives:
% 195.98/32.95  | 
% 195.98/32.95  | Case 1:
% 195.98/32.95  | | 
% 195.98/32.95  | |   (73)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 195.98/32.95  | |           e1)
% 195.98/32.95  | | 
% 195.98/32.95  | | BETA: splitting (73) gives:
% 195.98/32.95  | | 
% 195.98/32.95  | | Case 1:
% 195.98/32.95  | | | 
% 195.98/32.95  | | |   (74)  all_56_12 = e1 & op(e0, e3) = e1
% 195.98/32.95  | | | 
% 195.98/32.95  | | | REF_CLOSE: (3), (10), (11), (13), (20), (31), (36), (46), (52), (60),
% 195.98/32.95  | | |            (65), (66), (71), (72), (74) are inconsistent by sub-proof
% 195.98/32.95  | | |            #757.
% 195.98/32.95  | | | 
% 195.98/32.95  | | Case 2:
% 195.98/32.95  | | | 
% 195.98/32.95  | | |   (75)  all_56_13 = e1 & op(e0, e2) = e1
% 195.98/32.95  | | | 
% 195.98/32.95  | | | ALPHA: (75) implies:
% 195.98/32.95  | | |   (76)  op(e0, e2) = e1
% 195.98/32.95  | | | 
% 195.98/32.95  | | | REF_CLOSE: (11), (25), (55), (76) are inconsistent by sub-proof #1649.
% 195.98/32.95  | | | 
% 195.98/32.95  | | End of split
% 195.98/32.95  | | 
% 195.98/32.95  | Case 2:
% 195.98/32.95  | | 
% 195.98/32.95  | |   (77)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.98/32.95  | |           e1)
% 195.98/32.95  | | 
% 195.98/32.95  | | BETA: splitting (77) gives:
% 195.98/32.95  | | 
% 195.98/32.95  | | Case 1:
% 195.98/32.95  | | | 
% 195.98/32.95  | | |   (78)  all_56_14 = e1 & op(e0, e1) = e1
% 195.98/32.95  | | | 
% 195.98/32.95  | | | ALPHA: (78) implies:
% 195.98/32.95  | | |   (79)  all_56_14 = e1
% 195.98/32.95  | | | 
% 195.98/32.95  | | | BETA: splitting (15) gives:
% 195.98/32.95  | | | 
% 195.98/32.95  | | | Case 1:
% 195.98/32.95  | | | | 
% 195.98/32.95  | | | |   (80)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1)
% 195.98/32.95  | | | |           = e2)
% 195.98/32.95  | | | | 
% 195.98/32.95  | | | | BETA: splitting (80) gives:
% 195.98/32.95  | | | | 
% 195.98/32.95  | | | | Case 1:
% 195.98/32.95  | | | | | 
% 195.98/32.95  | | | | |   (81)  all_56_4 = e2 & op(e3, e1) = e2
% 195.98/32.95  | | | | | 
% 195.98/32.95  | | | | | REF_CLOSE: (11), (30), (50), (81) are inconsistent by sub-proof #810.
% 195.98/32.95  | | | | | 
% 195.98/32.95  | | | | Case 2:
% 195.98/32.95  | | | | | 
% 195.98/32.95  | | | | |   (82)  all_56_5 = e2 & op(e2, e1) = e2
% 195.98/32.95  | | | | | 
% 195.98/32.95  | | | | | ALPHA: (82) implies:
% 195.98/32.95  | | | | |   (83)  all_56_5 = e2
% 195.98/32.95  | | | | |   (84)  op(e2, e1) = e2
% 195.98/32.95  | | | | | 
% 195.98/32.95  | | | | | BETA: splitting (37) gives:
% 195.98/32.95  | | | | | 
% 195.98/32.95  | | | | | Case 1:
% 195.98/32.95  | | | | | | 
% 195.98/32.95  | | | | | |   (85)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2,
% 195.98/32.95  | | | | | |             e1) = e3)
% 195.98/32.95  | | | | | | 
% 195.98/32.95  | | | | | | BETA: splitting (85) gives:
% 195.98/32.95  | | | | | | 
% 195.98/32.95  | | | | | | Case 1:
% 195.98/32.95  | | | | | | | 
% 195.98/32.95  | | | | | | |   (86)  all_56_4 = e3 & op(e3, e1) = e3
% 195.98/32.95  | | | | | | | 
% 195.98/32.95  | | | | | | | ALPHA: (86) implies:
% 195.98/32.95  | | | | | | |   (87)  op(e3, e1) = e3
% 195.98/32.95  | | | | | | | 
% 195.98/32.95  | | | | | | | BETA: splitting (13) gives:
% 195.98/32.95  | | | | | | | 
% 195.98/32.95  | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | 
% 195.98/32.95  | | | | | | | |   (88)  all_54_12 = e3
% 195.98/32.95  | | | | | | | | 
% 195.98/32.95  | | | | | | | | COMBINE_EQS: (65), (88) imply:
% 195.98/32.95  | | | | | | | |   (89)  all_46_0 = e3
% 195.98/32.95  | | | | | | | | 
% 195.98/32.95  | | | | | | | | SIMP: (89) implies:
% 195.98/32.95  | | | | | | | |   (90)  all_46_0 = e3
% 195.98/32.95  | | | | | | | | 
% 195.98/32.95  | | | | | | | | REDUCE: (68), (90) imply:
% 195.98/32.95  | | | | | | | |   (91)   ~ (all_52_7 = e3)
% 195.98/32.95  | | | | | | | | 
% 195.98/32.95  | | | | | | | | REDUCE: (70), (90) imply:
% 195.98/32.95  | | | | | | | |   (92)   ~ (all_52_11 = e3)
% 195.98/32.95  | | | | | | | | 
% 195.98/32.95  | | | | | | | | BETA: splitting (39) gives:
% 195.98/32.95  | | | | | | | | 
% 195.98/32.95  | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | 
% 195.98/32.95  | | | | | | | | |   (93)  all_54_13 = e3
% 195.98/32.95  | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | REF_CLOSE: (18), (91), (93) are inconsistent by sub-proof
% 195.98/32.95  | | | | | | | | |            #1445.
% 195.98/32.95  | | | | | | | | | 
% 195.98/32.95  | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | 
% 195.98/32.95  | | | | | | | | |   (94)   ~ (all_54_13 = e3)
% 195.98/32.95  | | | | | | | | |   (95)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.98/32.95  | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | BETA: splitting (95) gives:
% 195.98/32.95  | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | |   (96)  all_54_13 = e2
% 195.98/32.95  | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | COMBINE_EQS: (18), (96) imply:
% 195.98/32.95  | | | | | | | | | |   (97)  all_52_7 = e2
% 195.98/32.95  | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | SIMP: (97) implies:
% 195.98/32.95  | | | | | | | | | |   (98)  all_52_7 = e2
% 195.98/32.95  | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | REDUCE: (14), (98) imply:
% 195.98/32.95  | | | | | | | | | |   (99)   ~ (all_52_11 = e2)
% 195.98/32.95  | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | SIMP: (99) implies:
% 195.98/32.95  | | | | | | | | | |   (100)   ~ (all_52_11 = e2)
% 195.98/32.95  | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | REDUCE: (91), (98) imply:
% 195.98/32.95  | | | | | | | | | |   (101)   ~ (e3 = e2)
% 195.98/32.95  | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | BETA: splitting (9) gives:
% 195.98/32.95  | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | |   (102)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 195.98/32.95  | | | | | | | | | | |            & op(e2, e3) = e1)
% 195.98/32.95  | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | REF_CLOSE: (11), (31), (34), (41), (46), (102) are
% 195.98/32.95  | | | | | | | | | | |            inconsistent by sub-proof #756.
% 195.98/32.95  | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | |   (103)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 195.98/32.95  | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 195.98/32.95  | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | BETA: splitting (103) gives:
% 195.98/32.95  | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | |   (104)  all_56_6 = e1 & op(e1, e3) = e1
% 195.98/32.95  | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | ALPHA: (104) implies:
% 195.98/32.95  | | | | | | | | | | | |   (105)  op(e1, e3) = e1
% 195.98/32.95  | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | BETA: splitting (38) gives:
% 195.98/32.95  | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | |   (106)  all_54_14 = e3
% 195.98/32.95  | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | REF_CLOSE: (42), (92), (106) are inconsistent by sub-proof
% 195.98/32.95  | | | | | | | | | | | | |            #1260.
% 195.98/32.95  | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | |   (107)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 195.98/32.95  | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | BETA: splitting (107) gives:
% 195.98/32.95  | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | |   (108)  all_54_14 = e2
% 195.98/32.95  | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | REF_CLOSE: (42), (100), (108) are inconsistent by sub-proof
% 195.98/32.95  | | | | | | | | | | | | | |            #1740.
% 195.98/32.95  | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | |   (109)   ~ (all_54_14 = e2)
% 195.98/32.95  | | | | | | | | | | | | | |   (110)  all_54_14 = e1 | all_54_14 = e0
% 195.98/32.95  | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 195.98/32.95  | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | |   (111)  all_54_14 = e1
% 195.98/32.95  | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | COMBINE_EQS: (42), (111) imply:
% 195.98/32.95  | | | | | | | | | | | | | | |   (112)  all_52_11 = e1
% 195.98/32.95  | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | SIMP: (112) implies:
% 195.98/32.95  | | | | | | | | | | | | | | |   (113)  all_52_11 = e1
% 195.98/32.95  | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | REDUCE: (35), (113) imply:
% 195.98/32.95  | | | | | | | | | | | | | | |   (114)   ~ (all_52_8 = e1)
% 195.98/32.95  | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | REDUCE: (100), (113) imply:
% 195.98/32.95  | | | | | | | | | | | | | | |   (115)   ~ (e2 = e1)
% 195.98/32.95  | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | |   (116)  all_54_2 = e3
% 195.98/32.95  | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | COMBINE_EQS: (8), (116) imply:
% 195.98/32.95  | | | | | | | | | | | | | | | |   (117)  all_52_8 = e3
% 195.98/32.95  | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | REDUCE: (29), (117) imply:
% 195.98/32.95  | | | | | | | | | | | | | | | |   (118)   ~ (all_52_12 = e3)
% 195.98/32.95  | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | SIMP: (118) implies:
% 195.98/32.95  | | | | | | | | | | | | | | | |   (119)   ~ (all_52_12 = e3)
% 195.98/32.95  | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | |   (120)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.98/32.95  | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.98/32.95  | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.98/32.95  | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 195.98/32.95  | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 195.98/32.95  | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.98/32.95  | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 195.98/32.95  | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.98/32.95  | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | BETA: splitting (120) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | |   (121)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.98/32.95  | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.98/32.95  | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | BETA: splitting (121) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |   (122)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (40), (57), (105), (122) are inconsistent by
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            sub-proof #755.
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |   (123)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |   (124)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & $i(all_57_0) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |          $i(all_57_14)
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | ALPHA: (124) implies:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |   (125)  op(e2, e2) = e3
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (52), (125) are inconsistent by
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |            sub-proof #1679.
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |   (126)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | ALPHA: (126) implies:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |   (127)  op(e0, e0) = e3
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (11), (28), (32), (54), (127) are
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1647.
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | End of split
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | End of split
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | |   (128)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 195.98/32.95  | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |   (129)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (31), (129) are inconsistent by sub-proof
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            #798.
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |   (130)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (53), (84), (130) are inconsistent by
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            sub-proof #788.
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | End of split
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | End of split
% 195.98/32.95  | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | |   (131)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.98/32.95  | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 195.98/32.95  | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 195.98/32.95  | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 195.98/32.95  | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 195.98/32.95  | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.98/32.95  | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.98/32.95  | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.98/32.95  | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.98/32.95  | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.98/32.95  | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | |   (132)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |   (133)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (31), (34), (41), (49), (133) are
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #791.
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |   (134)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (34), (45), (49), (119), (134) are
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1828.
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | End of split
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | |   (135)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.98/32.95  | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |   (136)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (31), (56), (136) are inconsistent by
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            sub-proof #819.
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |   (137)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |   (138)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | ALPHA: (138) implies:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |   (139)  op(e2, e0) = e2
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (22), (48), (51), (84), (139) are
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1887.
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |   (140)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |   (141)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |   (142)   ~ (all_57_14 = e0)
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |   (143)  op(e1, e1) = all_57_14
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (27), (142), (143) are inconsistent by
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1636.
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |   (144)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | ALPHA: (144) implies:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |   (145)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.95  | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |   (146)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (11), (12), (21), (44), (52), (55), (146) are
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #754.
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |   (147)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |   (148)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |   (149)  op(e0, e2) = e0
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (11), (55), (149) are inconsistent by
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #818.
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |   (150)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (26), (27), (41), (43), (52), (56),
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |            (60), (145), (150) are inconsistent by sub-proof
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | |            #753.
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | Case 2:
% 195.98/32.96  | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | |   (151)   ~ (all_54_2 = e3)
% 195.98/32.96  | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | REDUCE: (8), (151) imply:
% 195.98/32.96  | | | | | | | | | | | | | | | |   (152)   ~ (all_52_8 = e3)
% 195.98/32.96  | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | | REF_CLOSE: (11), (50), (87), (152) are inconsistent by
% 195.98/32.96  | | | | | | | | | | | | | | | |            sub-proof #1759.
% 195.98/32.96  | | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | Case 2:
% 195.98/32.96  | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | |   (153)  all_54_14 = e0
% 195.98/32.96  | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | | REF_CLOSE: (42), (43), (153) are inconsistent by sub-proof
% 195.98/32.96  | | | | | | | | | | | | | | |            #1738.
% 195.98/32.96  | | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | Case 2:
% 195.98/32.96  | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | |   (154)  all_56_12 = e1 & op(e0, e3) = e1
% 195.98/32.96  | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | | REF_CLOSE: (3), (10), (11), (13), (20), (31), (36), (46),
% 195.98/32.96  | | | | | | | | | | | |            (52), (60), (65), (66), (71), (72), (154) are
% 195.98/32.96  | | | | | | | | | | | |            inconsistent by sub-proof #757.
% 195.98/32.96  | | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | Case 2:
% 195.98/32.96  | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | |   (155)  all_54_13 = e1 | all_54_13 = e0
% 195.98/32.96  | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | | REF_CLOSE: (2), (18), (25), (155) are inconsistent by
% 195.98/32.96  | | | | | | | | | |            sub-proof #1652.
% 195.98/32.96  | | | | | | | | | | 
% 195.98/32.96  | | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | | 
% 195.98/32.96  | | | | | | | | End of split
% 195.98/32.96  | | | | | | | | 
% 195.98/32.96  | | | | | | | Case 2:
% 195.98/32.96  | | | | | | | | 
% 195.98/32.96  | | | | | | | |   (156)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/32.96  | | | | | | | | 
% 195.98/32.96  | | | | | | | | REF_CLOSE: (20), (65), (71), (72), (156) are inconsistent by
% 195.98/32.96  | | | | | | | |            sub-proof #767.
% 195.98/32.96  | | | | | | | | 
% 195.98/32.96  | | | | | | | End of split
% 195.98/32.96  | | | | | | | 
% 195.98/32.96  | | | | | | Case 2:
% 195.98/32.96  | | | | | | | 
% 195.98/32.96  | | | | | | |   (157)  all_56_5 = e3 & op(e2, e1) = e3
% 195.98/32.96  | | | | | | | 
% 195.98/32.96  | | | | | | | REF_CLOSE: (10), (83), (157) are inconsistent by sub-proof #1625.
% 195.98/32.96  | | | | | | | 
% 195.98/32.96  | | | | | | End of split
% 195.98/32.96  | | | | | | 
% 195.98/32.96  | | | | | Case 2:
% 195.98/32.96  | | | | | | 
% 195.98/32.96  | | | | | |   (158)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 &
% 195.98/32.96  | | | | | |            op(e0, e1) = e3)
% 195.98/32.96  | | | | | | 
% 195.98/32.96  | | | | | | REF_CLOSE: (11), (27), (52), (60), (79), (158) are inconsistent by
% 195.98/32.96  | | | | | |            sub-proof #1361.
% 195.98/32.96  | | | | | | 
% 195.98/32.96  | | | | | End of split
% 195.98/32.96  | | | | | 
% 195.98/32.96  | | | | End of split
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | Case 2:
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | |   (159)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0,
% 195.98/32.96  | | | |              e1) = e2)
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | BETA: splitting (159) gives:
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | Case 1:
% 195.98/32.96  | | | | | 
% 195.98/32.96  | | | | |   (160)  all_56_8 = e2 & op(e1, e1) = e2
% 195.98/32.96  | | | | | 
% 195.98/32.96  | | | | | ALPHA: (160) implies:
% 195.98/32.96  | | | | |   (161)  op(e1, e1) = e2
% 195.98/32.96  | | | | | 
% 195.98/32.96  | | | | | REF_CLOSE: (11), (27), (56), (161) are inconsistent by sub-proof
% 195.98/32.96  | | | | |            #1821.
% 195.98/32.96  | | | | | 
% 195.98/32.96  | | | | Case 2:
% 195.98/32.96  | | | | | 
% 195.98/32.96  | | | | |   (162)  all_56_14 = e2 & op(e0, e1) = e2
% 195.98/32.96  | | | | | 
% 195.98/32.96  | | | | | REF_CLOSE: (41), (79), (162) are inconsistent by sub-proof #1386.
% 195.98/32.96  | | | | | 
% 195.98/32.96  | | | | End of split
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | End of split
% 195.98/32.96  | | | 
% 195.98/32.96  | | Case 2:
% 195.98/32.96  | | | 
% 195.98/32.96  | | |   (163)  all_56_15 = e1 & op(e0, e0) = e1
% 195.98/32.96  | | | 
% 195.98/32.96  | | | ALPHA: (163) implies:
% 195.98/32.96  | | |   (164)  op(e0, e0) = e1
% 195.98/32.96  | | | 
% 195.98/32.96  | | | REF_CLOSE: (11), (34), (49), (164) are inconsistent by sub-proof #1943.
% 195.98/32.96  | | | 
% 195.98/32.96  | | End of split
% 195.98/32.96  | | 
% 195.98/32.96  | End of split
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #753 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.96    (2)  op(e2, e2) = e1
% 195.98/32.96    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.98/32.96             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.98/32.96           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 195.98/32.96           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 195.98/32.96             e1) = e0 & $i(all_57_7))
% 195.98/32.96    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.98/32.96             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.96           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.98/32.96           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.98/32.96             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.98/32.96           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.96           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.98/32.96           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.98/32.96           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.98/32.96           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.98/32.96           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.98/32.96         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.98/32.96             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.96           $i(all_57_7))
% 195.98/32.96    (5)  op(e0, e1) = all_52_11
% 195.98/32.96    (6)  op(e1, e1) = e0
% 195.98/32.96    (7)   ~ (e2 = e1)
% 195.98/32.96    (8)   ~ (all_52_11 = e0)
% 195.98/32.96    (9)   ~ (e3 = e1)
% 195.98/32.96    (10)   ~ (e2 = e0)
% 195.98/32.96    (11)   ~ (e3 = e0)
% 195.98/32.96  
% 195.98/32.96  Begin of proof
% 195.98/32.96  | 
% 195.98/32.96  | BETA: splitting (3) gives:
% 195.98/32.96  | 
% 195.98/32.96  | Case 1:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (12)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 195.98/32.96  | |           = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.98/32.96  | |         & $i(all_57_6)
% 195.98/32.96  | | 
% 195.98/32.96  | | ALPHA: (12) implies:
% 195.98/32.96  | |   (13)  op(e3, e3) = e1
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (13) are
% 195.98/32.96  | |            inconsistent by sub-proof #1316.
% 195.98/32.96  | | 
% 195.98/32.96  | Case 2:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (14)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 195.98/32.96  | |           = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.98/32.96  | |         & $i(all_57_7)
% 195.98/32.96  | | 
% 195.98/32.96  | | ALPHA: (14) implies:
% 195.98/32.96  | |   (15)  op(e0, e1) = e0
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (1), (5), (8), (15) are inconsistent by sub-proof #1931.
% 195.98/32.96  | | 
% 195.98/32.96  | End of split
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #754 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)   ~ (all_52_7 = e0)
% 195.98/32.96    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.96    (3)  op(e2, e2) = e1
% 195.98/32.96    (4)  op(e0, e3) = all_52_3
% 195.98/32.96    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.98/32.96             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.96           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.98/32.96           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.98/32.96             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.98/32.96           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.96           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.98/32.96    (6)   ~ (all_52_3 = e0)
% 195.98/32.96    (7)   ~ (e3 = e1)
% 195.98/32.96    (8)  op(e0, e2) = all_52_7
% 195.98/32.96  
% 195.98/32.96  Begin of proof
% 195.98/32.96  | 
% 195.98/32.96  | BETA: splitting (5) gives:
% 195.98/32.96  | 
% 195.98/32.96  | Case 1:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (9)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.98/32.96  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.96  | |        $i(all_57_0)
% 195.98/32.96  | | 
% 195.98/32.96  | | ALPHA: (9) implies:
% 195.98/32.96  | |   (10)  op(e2, e2) = e3
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (2), (3), (7), (10) are inconsistent by sub-proof #1679.
% 195.98/32.96  | | 
% 195.98/32.96  | Case 2:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (11)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 195.98/32.96  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 195.98/32.96  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.98/32.96  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.98/32.96  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (1), (2), (4), (6), (8), (11) are inconsistent by sub-proof #817.
% 195.98/32.96  | | 
% 195.98/32.96  | End of split
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #755 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.98/32.96             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.98/32.96           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.98/32.96           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.98/32.96           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.98/32.96           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.98/32.96    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.96    (3)  op(e1, e3) = e1
% 195.98/32.96    (4)   ~ (all_52_1 = e2)
% 195.98/32.96    (5)  op(e2, e3) = all_52_1
% 195.98/32.96  
% 195.98/32.96  Begin of proof
% 195.98/32.96  | 
% 195.98/32.96  | BETA: splitting (1) gives:
% 195.98/32.96  | 
% 195.98/32.96  | Case 1:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (6)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.98/32.96  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.98/32.96  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 195.98/32.96  | | 
% 195.98/32.96  | | ALPHA: (6) implies:
% 195.98/32.96  | |   (7)   ~ (all_57_1 = e1)
% 195.98/32.96  | |   (8)  op(e1, e3) = all_57_1
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (2), (3), (7), (8) are inconsistent by sub-proof #1326.
% 195.98/32.96  | | 
% 195.98/32.96  | Case 2:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (9)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 195.98/32.96  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.98/32.96  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 195.98/32.96  | | 
% 195.98/32.96  | | ALPHA: (9) implies:
% 195.98/32.96  | |   (10)  op(e2, e3) = e2
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #1785.
% 195.98/32.96  | | 
% 195.98/32.96  | End of split
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #756 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.96    (2)  op(e3, e3) = e2
% 195.98/32.96    (3)   ~ (e1 = e0)
% 195.98/32.96    (4)   ~ (e2 = e1)
% 195.98/32.96    (5)  all_56_2 = e0
% 195.98/32.96    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 195.98/32.96  
% 195.98/32.96  Begin of proof
% 195.98/32.96  | 
% 195.98/32.96  | BETA: splitting (6) gives:
% 195.98/32.96  | 
% 195.98/32.96  | Case 1:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 195.98/32.96  | | 
% 195.98/32.96  | | ALPHA: (7) implies:
% 195.98/32.96  | |   (8)  op(e3, e3) = e1
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1934.
% 195.98/32.96  | | 
% 195.98/32.96  | Case 2:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #1557.
% 195.98/32.96  | | 
% 195.98/32.96  | End of split
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #757 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)  op(e1, e3) = all_52_2
% 195.98/32.96    (2)   ~ (e3 = e2)
% 195.98/32.96    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.96    (4)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/32.96    (5)   ~ (all_52_2 = all_46_0)
% 195.98/32.96    (6)  all_54_12 = all_46_0
% 195.98/32.96    (7)   ~ (all_46_0 = e1)
% 195.98/32.96    (8)   ~ (all_46_0 = e0)
% 195.98/32.96    (9)  op(e3, e3) = e2
% 195.98/32.96    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 195.98/32.96          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 195.98/32.96    (11)  all_56_2 = e0
% 195.98/32.96    (12)   ~ (e3 = e1)
% 195.98/32.96    (13)   ~ (all_46_0 = e2)
% 195.98/32.96    (14)   ~ (e3 = e0)
% 195.98/32.96    (15)  all_56_12 = e1 & op(e0, e3) = e1
% 195.98/32.96  
% 195.98/32.96  Begin of proof
% 195.98/32.96  | 
% 195.98/32.96  | ALPHA: (15) implies:
% 195.98/32.96  |   (16)  all_56_12 = e1
% 195.98/32.96  | 
% 195.98/32.96  | BETA: splitting (10) gives:
% 195.98/32.96  | 
% 195.98/32.96  | Case 1:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (17)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 195.98/32.96  | |           e3)
% 195.98/32.96  | | 
% 195.98/32.96  | | BETA: splitting (17) gives:
% 195.98/32.96  | | 
% 195.98/32.96  | | Case 1:
% 195.98/32.96  | | | 
% 195.98/32.96  | | |   (18)  all_56_0 = e3 & op(e3, e3) = e3
% 195.98/32.96  | | | 
% 195.98/32.96  | | | ALPHA: (18) implies:
% 195.98/32.96  | | |   (19)  op(e3, e3) = e3
% 195.98/32.96  | | | 
% 195.98/32.96  | | | REF_CLOSE: (2), (3), (9), (19) are inconsistent by sub-proof #1957.
% 195.98/32.96  | | | 
% 195.98/32.96  | | Case 2:
% 195.98/32.96  | | | 
% 195.98/32.96  | | |   (20)  all_56_2 = e3 & op(e2, e3) = e3
% 195.98/32.96  | | | 
% 195.98/32.96  | | | REF_CLOSE: (11), (14), (20) are inconsistent by sub-proof #1626.
% 195.98/32.96  | | | 
% 195.98/32.96  | | End of split
% 195.98/32.96  | | 
% 195.98/32.96  | Case 2:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (21)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 195.98/32.96  | |           e3)
% 195.98/32.96  | | 
% 195.98/32.96  | | BETA: splitting (21) gives:
% 195.98/32.96  | | 
% 195.98/32.96  | | Case 1:
% 195.98/32.96  | | | 
% 195.98/32.96  | | |   (22)  all_56_6 = e3 & op(e1, e3) = e3
% 195.98/32.96  | | | 
% 195.98/32.96  | | | ALPHA: (22) implies:
% 195.98/32.96  | | |   (23)  op(e1, e3) = e3
% 195.98/32.96  | | | 
% 195.98/32.96  | | | BETA: splitting (4) gives:
% 195.98/32.96  | | | 
% 195.98/32.96  | | | Case 1:
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | |   (24)  all_54_12 = e3
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | COMBINE_EQS: (6), (24) imply:
% 195.98/32.96  | | | |   (25)  all_46_0 = e3
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | SIMP: (25) implies:
% 195.98/32.96  | | | |   (26)  all_46_0 = e3
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | REDUCE: (5), (26) imply:
% 195.98/32.96  | | | |   (27)   ~ (all_52_2 = e3)
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | REF_CLOSE: (1), (3), (23), (27) are inconsistent by sub-proof #1179.
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | Case 2:
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | |   (28)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | REF_CLOSE: (6), (7), (8), (13), (28) are inconsistent by sub-proof #767.
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | End of split
% 195.98/32.96  | | | 
% 195.98/32.96  | | Case 2:
% 195.98/32.96  | | | 
% 195.98/32.96  | | |   (29)  all_56_12 = e3 & op(e0, e3) = e3
% 195.98/32.96  | | | 
% 195.98/32.96  | | | REF_CLOSE: (12), (16), (29) are inconsistent by sub-proof #758.
% 195.98/32.96  | | | 
% 195.98/32.96  | | End of split
% 195.98/32.96  | | 
% 195.98/32.96  | End of split
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #758 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)  all_56_12 = e3 & op(e0, e3) = e3
% 195.98/32.96    (2)  all_56_12 = e1
% 195.98/32.96    (3)   ~ (e3 = e1)
% 195.98/32.96  
% 195.98/32.96  Begin of proof
% 195.98/32.96  | 
% 195.98/32.96  | ALPHA: (1) implies:
% 195.98/32.96  |   (4)  all_56_12 = e3
% 195.98/32.96  | 
% 195.98/32.96  | COMBINE_EQS: (2), (4) imply:
% 195.98/32.96  |   (5)  e3 = e1
% 195.98/32.96  | 
% 195.98/32.96  | REDUCE: (3), (5) imply:
% 195.98/32.96  |   (6)  $false
% 195.98/32.96  | 
% 195.98/32.96  | CLOSE: (6) is inconsistent.
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #759 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.96    (2)   ~ (all_52_14 = e2)
% 195.98/32.96    (3)  op(e1, e0) = all_52_14
% 195.98/32.96    (4)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.98/32.96    (5)  op(e1, e1) = e0
% 195.98/32.96    (6)   ~ (e2 = e0)
% 195.98/32.96  
% 195.98/32.96  Begin of proof
% 195.98/32.96  | 
% 195.98/32.96  | BETA: splitting (4) gives:
% 195.98/32.96  | 
% 195.98/32.96  | Case 1:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 195.98/32.96  | | 
% 195.98/32.96  | | ALPHA: (7) implies:
% 195.98/32.96  | |   (8)  op(e1, e1) = e2
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1821.
% 195.98/32.96  | | 
% 195.98/32.96  | Case 2:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (9)  all_56_11 = e2 & op(e1, e0) = e2
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #760.
% 195.98/32.96  | | 
% 195.98/32.96  | End of split
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #760 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)  all_56_11 = e2 & op(e1, e0) = e2
% 195.98/32.96    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.96    (3)  op(e1, e0) = all_52_14
% 195.98/32.96    (4)   ~ (all_52_14 = e2)
% 195.98/32.96  
% 195.98/32.96  Begin of proof
% 195.98/32.96  | 
% 195.98/32.96  | ALPHA: (1) implies:
% 195.98/32.96  |   (5)  op(e1, e0) = e2
% 195.98/32.96  | 
% 195.98/32.96  | GROUND_INST: instantiating (2) with all_52_14, e2, e0, e1, simplifying with
% 195.98/32.96  |              (3), (5) gives:
% 195.98/32.96  |   (6)  all_52_14 = e2
% 195.98/32.96  | 
% 195.98/32.96  | REDUCE: (4), (6) imply:
% 195.98/32.96  |   (7)  $false
% 195.98/32.96  | 
% 195.98/32.96  | CLOSE: (7) is inconsistent.
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #761 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.96    (2)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 195.98/32.96    (3)  op(e0, e1) = all_52_11
% 195.98/32.96    (4)  op(e1, e1) = e0
% 195.98/32.96    (5)   ~ (e2 = e0)
% 195.98/32.96    (6)   ~ (all_52_11 = e2)
% 195.98/32.96  
% 195.98/32.96  Begin of proof
% 195.98/32.96  | 
% 195.98/32.96  | BETA: splitting (2) gives:
% 195.98/32.96  | 
% 195.98/32.96  | Case 1:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 195.98/32.96  | | 
% 195.98/32.96  | | ALPHA: (7) implies:
% 195.98/32.96  | |   (8)  op(e1, e1) = e2
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1821.
% 195.98/32.96  | | 
% 195.98/32.96  | Case 2:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (9)  all_56_14 = e2 & op(e0, e1) = e2
% 195.98/32.96  | | 
% 195.98/32.96  | | REF_CLOSE: (1), (3), (6), (9) are inconsistent by sub-proof #808.
% 195.98/32.96  | | 
% 195.98/32.96  | End of split
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #762 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)   ~ (all_52_7 = e0)
% 195.98/32.96    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.96    (3)  op(e2, e2) = all_4_2
% 195.98/32.96    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.98/32.96             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.96           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.98/32.96           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.98/32.96             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.98/32.96           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.96           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.98/32.96           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.98/32.96           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.98/32.96           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.98/32.96           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.98/32.96         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.98/32.96             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.96           $i(all_57_7))
% 195.98/32.96    (5)  op(e0, e1) = all_52_11
% 195.98/32.96    (6)  op(e1, e1) = e0
% 195.98/32.96    (7)   ~ (all_4_2 = e3)
% 195.98/32.96    (8)   ~ (e1 = e0)
% 195.98/32.96    (9)   ~ (e2 = e1)
% 195.98/32.96    (10)   ~ (all_52_11 = e0)
% 195.98/32.96    (11)  op(e2, e2) = e0
% 195.98/32.96    (12)  op(e0, e2) = all_52_7
% 195.98/32.96    (13)   ~ (e2 = e0)
% 195.98/32.96    (14)   ~ (e3 = e0)
% 195.98/32.96  
% 195.98/32.96  Begin of proof
% 195.98/32.96  | 
% 195.98/32.96  | BETA: splitting (4) gives:
% 195.98/32.96  | 
% 195.98/32.96  | Case 1:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (15)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 195.98/32.96  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 195.98/32.96  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.98/32.96  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.98/32.96  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 195.98/32.96  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 195.98/32.96  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.98/32.96  | |           $i(all_57_3))
% 195.98/32.96  | | 
% 195.98/32.96  | | BETA: splitting (15) gives:
% 195.98/32.96  | | 
% 195.98/32.96  | | Case 1:
% 195.98/32.96  | | | 
% 195.98/32.96  | | |   (16)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.96  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 195.98/32.96  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 195.98/32.96  | | | 
% 195.98/32.96  | | | ALPHA: (16) implies:
% 195.98/32.96  | | |   (17)  op(e2, e2) = e3
% 195.98/32.96  | | | 
% 195.98/32.96  | | | REF_CLOSE: (2), (3), (7), (17) are inconsistent by sub-proof #1975.
% 195.98/32.96  | | | 
% 195.98/32.96  | | Case 2:
% 195.98/32.96  | | | 
% 195.98/32.96  | | |   (18)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.96  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.98/32.96  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 195.98/32.96  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.98/32.96  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.98/32.96  | | | 
% 195.98/32.96  | | | BETA: splitting (18) gives:
% 195.98/32.96  | | | 
% 195.98/32.96  | | | Case 1:
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | |   (19)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.96  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.98/32.96  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | ALPHA: (19) implies:
% 195.98/32.96  | | | |   (20)  op(e1, e1) = e3
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | REF_CLOSE: (2), (6), (14), (20) are inconsistent by sub-proof #1824.
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | Case 2:
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | |   (21)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/32.96  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.98/32.96  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | ALPHA: (21) implies:
% 195.98/32.96  | | | |   (22)  op(e0, e2) = e0
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | | REF_CLOSE: (1), (2), (12), (22) are inconsistent by sub-proof #818.
% 195.98/32.96  | | | | 
% 195.98/32.96  | | | End of split
% 195.98/32.96  | | | 
% 195.98/32.96  | | End of split
% 195.98/32.96  | | 
% 195.98/32.96  | Case 2:
% 195.98/32.96  | | 
% 195.98/32.96  | |   (23)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.98/32.96  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.98/32.96  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/32.96  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.98/32.96  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.98/32.96  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.98/32.96  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.96  | |           $i(all_57_7))
% 195.98/32.96  | | 
% 195.98/32.96  | | BETA: splitting (23) gives:
% 195.98/32.96  | | 
% 195.98/32.96  | | Case 1:
% 195.98/32.96  | | | 
% 195.98/32.96  | | |   (24)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.98/32.96  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/32.96  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 195.98/32.96  | | | 
% 195.98/32.96  | | | ALPHA: (24) implies:
% 195.98/32.96  | | |   (25)  op(e0, e2) = e0
% 195.98/32.96  | | | 
% 195.98/32.96  | | | REF_CLOSE: (1), (2), (12), (25) are inconsistent by sub-proof #818.
% 195.98/32.96  | | | 
% 195.98/32.96  | | Case 2:
% 195.98/32.96  | | | 
% 195.98/32.96  | | |   (26)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.98/32.96  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.98/32.96  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 195.98/32.96  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.98/32.96  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 195.98/32.96  | | | 
% 195.98/32.96  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 195.98/32.96  | | |            (26) are inconsistent by sub-proof #763.
% 195.98/32.96  | | | 
% 195.98/32.96  | | End of split
% 195.98/32.96  | | 
% 195.98/32.96  | End of split
% 195.98/32.96  | 
% 195.98/32.96  End of proof
% 195.98/32.96  
% 195.98/32.96  Sub-proof #763 shows that the following formulas are inconsistent:
% 195.98/32.96  ----------------------------------------------------------------
% 195.98/32.96    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.96    (2)  op(e2, e2) = all_4_2
% 195.98/32.96    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 195.98/32.96             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.98/32.96           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 195.98/32.96           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 195.98/32.96             e1) = e0 & $i(all_57_7))
% 195.98/32.96    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.98/32.96             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.96           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 195.98/32.96           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 195.98/32.96             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.98/32.96           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.97           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 195.98/32.97           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.98/32.97           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.98/32.97           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 195.98/32.97           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.98/32.97         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 195.98/32.97             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.97           $i(all_57_7))
% 195.98/32.97    (5)  op(e0, e1) = all_52_11
% 195.98/32.97    (6)  op(e1, e1) = e0
% 195.98/32.97    (7)   ~ (all_4_2 = e3)
% 195.98/32.97    (8)   ~ (e1 = e0)
% 195.98/32.97    (9)   ~ (e2 = e1)
% 195.98/32.97    (10)   ~ (all_52_11 = e0)
% 195.98/32.97    (11)  op(e2, e2) = e0
% 195.98/32.97    (12)   ~ (e2 = e0)
% 195.98/32.97    (13)   ~ (e3 = e0)
% 195.98/32.97  
% 195.98/32.97  Begin of proof
% 195.98/32.97  | 
% 195.98/32.97  | BETA: splitting (3) gives:
% 195.98/32.97  | 
% 195.98/32.97  | Case 1:
% 195.98/32.97  | | 
% 195.98/32.97  | |   (14)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 195.98/32.97  | |           = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 195.98/32.97  | |         & $i(all_57_6)
% 195.98/32.97  | | 
% 195.98/32.97  | | ALPHA: (14) implies:
% 195.98/32.97  | |   (15)  op(e3, e3) = e1
% 195.98/32.97  | | 
% 195.98/32.97  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 195.98/32.97  | |            (15) are inconsistent by sub-proof #1380.
% 195.98/32.97  | | 
% 195.98/32.97  | Case 2:
% 195.98/32.97  | | 
% 195.98/32.97  | |   (16)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 195.98/32.97  | |           = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 195.98/32.97  | |         & $i(all_57_7)
% 195.98/32.97  | | 
% 195.98/32.97  | | ALPHA: (16) implies:
% 195.98/32.97  | |   (17)  op(e2, e2) = e1
% 195.98/32.97  | | 
% 195.98/32.97  | | REF_CLOSE: (1), (8), (11), (17) are inconsistent by sub-proof #1909.
% 195.98/32.97  | | 
% 195.98/32.97  | End of split
% 195.98/32.97  | 
% 195.98/32.97  End of proof
% 195.98/32.97  
% 195.98/32.97  Sub-proof #764 shows that the following formulas are inconsistent:
% 195.98/32.97  ----------------------------------------------------------------
% 195.98/32.97    (1)   ~ (all_46_1 = e0) & op(e3, e2) = all_46_1 & $i(all_46_1)
% 195.98/32.97    (2)  ( ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3, e2) = all_12_1
% 195.98/32.97           & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e1) & op(e3, e2) =
% 195.98/32.97           all_12_1 & $i(all_12_1))
% 195.98/32.97    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.97    (4)  op(e3, e2) = e0
% 195.98/32.97  
% 195.98/32.97  Begin of proof
% 195.98/32.97  | 
% 195.98/32.97  | ALPHA: (1) implies:
% 195.98/32.97  |   (5)   ~ (all_46_1 = e0)
% 195.98/32.97  |   (6)  op(e3, e2) = all_46_1
% 195.98/32.97  | 
% 195.98/32.97  | BETA: splitting (2) gives:
% 195.98/32.97  | 
% 195.98/32.97  | Case 1:
% 195.98/32.97  | | 
% 195.98/32.97  | |   (7)   ~ (all_12_0 = e0) & op(all_12_1, e3) = all_12_0 & op(e3, e2) =
% 195.98/32.97  | |        all_12_1 & $i(all_12_0) & $i(all_12_1)
% 195.98/32.97  | | 
% 195.98/32.97  | | ALPHA: (7) implies:
% 195.98/32.97  | |   (8)  op(e3, e2) = all_12_1
% 195.98/32.97  | | 
% 195.98/32.97  | | REF_CLOSE: (3), (4), (5), (6), (8) are inconsistent by sub-proof #765.
% 195.98/32.97  | | 
% 195.98/32.97  | Case 2:
% 195.98/32.97  | | 
% 195.98/32.97  | |   (9)   ~ (all_12_1 = e1) & op(e3, e2) = all_12_1 & $i(all_12_1)
% 195.98/32.97  | | 
% 195.98/32.97  | | ALPHA: (9) implies:
% 195.98/32.97  | |   (10)  op(e3, e2) = all_12_1
% 195.98/32.97  | | 
% 195.98/32.97  | | REF_CLOSE: (3), (4), (5), (6), (10) are inconsistent by sub-proof #765.
% 195.98/32.97  | | 
% 195.98/32.97  | End of split
% 195.98/32.97  | 
% 195.98/32.97  End of proof
% 195.98/32.97  
% 195.98/32.97  Sub-proof #765 shows that the following formulas are inconsistent:
% 195.98/32.97  ----------------------------------------------------------------
% 195.98/32.97    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.97    (2)  op(e3, e2) = all_12_1
% 195.98/32.97    (3)  op(e3, e2) = e0
% 195.98/32.97    (4)   ~ (all_46_1 = e0)
% 195.98/32.97    (5)  op(e3, e2) = all_46_1
% 195.98/32.97  
% 195.98/32.97  Begin of proof
% 195.98/32.97  | 
% 195.98/32.97  | GROUND_INST: instantiating (1) with e0, all_46_1, e2, e3, simplifying with
% 195.98/32.97  |              (3), (5) gives:
% 195.98/32.97  |   (6)  all_46_1 = e0
% 195.98/32.97  | 
% 195.98/32.97  | GROUND_INST: instantiating (1) with all_12_1, all_46_1, e2, e3, simplifying
% 195.98/32.97  |              with (2), (5) gives:
% 195.98/32.97  |   (7)  all_46_1 = all_12_1
% 195.98/32.97  | 
% 195.98/32.97  | COMBINE_EQS: (6), (7) imply:
% 195.98/32.97  |   (8)  all_12_1 = e0
% 195.98/32.97  | 
% 195.98/32.97  | REDUCE: (4), (6) imply:
% 195.98/32.97  |   (9)  $false
% 195.98/32.97  | 
% 195.98/32.97  | CLOSE: (9) is inconsistent.
% 195.98/32.97  | 
% 195.98/32.97  End of proof
% 195.98/32.97  
% 195.98/32.97  Sub-proof #766 shows that the following formulas are inconsistent:
% 195.98/32.97  ----------------------------------------------------------------
% 195.98/32.97    (1)   ~ (all_52_1 = all_4_2)
% 195.98/32.97    (2)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.98/32.97         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.98/32.97    (3)   ~ (all_52_7 = e0)
% 195.98/32.97    (4)  op(e1, e3) = all_52_2
% 195.98/32.97    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.98/32.97           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.98/32.97           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.98/32.97                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.98/32.97               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.98/32.97               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.98/32.97           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.98/32.97           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.98/32.97               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.98/32.97           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.98/32.97               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.98/32.97           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.98/32.97           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.98/32.97               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.98/32.97               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.98/32.97               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/32.97         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.98/32.97           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.98/32.97           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.98/32.97               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.98/32.97             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/32.97         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.98/32.97           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.98/32.97           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.98/32.97                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.98/32.97               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.98/32.97               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.98/32.97           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.98/32.97           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.98/32.97             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.98/32.97           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.98/32.97               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.98/32.97           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.98/32.97           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.98/32.97               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.98/32.97               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.98/32.97               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/32.97         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.98/32.97           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.98/32.97           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.98/32.97               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.98/32.97             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/32.97         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.98/32.97           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.98/32.97           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.98/32.97                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.98/32.97               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.98/32.97               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.98/32.97           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.98/32.97             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.98/32.97               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.98/32.97           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.98/32.97               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.98/32.97           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.98/32.97           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.98/32.97               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.98/32.97               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.98/32.97               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.98/32.97         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.98/32.97           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.98/32.97           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.98/32.97               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.98/32.97             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.98/32.97         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.98/32.97             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.98/32.97           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.98/32.97               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.98/32.97             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/32.97         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.98/32.97             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.98/32.97           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.98/32.97               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.98/32.97             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/32.97         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.98/32.97             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.98/32.97           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.98/32.97               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.98/32.97             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/32.97         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.98/32.97             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.98/32.97           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.98/32.97               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.98/32.97             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.98/32.97    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.98/32.97         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 195.98/32.97    (7)  op(e1, e2) = all_52_6
% 195.98/32.97    (8)   ~ (all_52_14 = e0)
% 195.98/32.97    (9)  op(e0, e0) = all_14_2
% 195.98/32.97    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.98/32.97          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.98/32.97    (11)   ~ (all_52_3 = e2)
% 195.98/32.97    (12)   ~ (all_52_7 = e2)
% 195.98/32.97    (13)   ~ (all_14_2 = e1)
% 195.98/32.97    (14)  op(e1, e0) = all_22_1
% 195.98/32.97    (15)  all_54_6 = all_52_9
% 195.98/32.97    (16)   ~ (all_52_6 = all_52_7)
% 195.98/32.97    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.98/32.97          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.98/32.97    (18)   ~ (all_52_2 = e0)
% 195.98/32.97    (19)   ~ (all_4_2 = e0)
% 195.98/32.97    (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.98/32.97          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.98/32.97    (21)   ~ (all_52_13 = e2)
% 195.98/32.97    (22)   ~ (e3 = e2)
% 195.98/32.97    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.97            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.97    (24)  op(e2, e2) = all_4_2
% 195.98/32.97    (25)   ~ (all_52_9 = e0)
% 195.98/32.97    (26)   ~ (all_38_0 = e3)
% 195.98/32.97    (27)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/32.97    (28)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.98/32.97          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.98/32.97    (29)   ~ (all_52_3 = all_52_7)
% 195.98/32.97    (30)  all_54_12 = all_52_3
% 195.98/32.97    (31)  all_54_13 = all_52_7
% 195.98/32.97    (32)  all_56_11 = e2
% 195.98/32.97    (33)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.98/32.97          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.98/32.97            e1)
% 195.98/32.97    (34)   ~ (all_46_0 = e1)
% 195.98/32.97    (35)  op(e0, e3) = all_52_3
% 195.98/32.97    (36)  all_56_14 = e2
% 195.98/32.97    (37)  op(e2, e0) = all_52_13
% 195.98/32.97    (38)  op(e1, e0) = all_52_14
% 195.98/32.97    (39)   ~ (all_52_12 = e2)
% 195.98/32.97    (40)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.98/32.97          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.98/32.97    (41)   ~ (all_52_8 = all_52_9)
% 195.98/32.97    (42)  op(e1, e0) = e2
% 195.98/32.97    (43)  op(e1, e0) = all_38_1
% 195.98/32.97    (44)  op(e0, e3) = all_46_0
% 195.98/32.97    (45)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.98/32.97              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.98/32.97            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.98/32.97            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.98/32.97            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.98/32.97            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.98/32.97            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.98/32.97            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.98/32.97            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.98/32.97            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.98/32.97            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.98/32.97            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.98/32.97            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.97            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/32.97            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.98/32.97            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.97            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.98/32.97            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.98/32.97            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.97            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.98/32.97            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.98/32.97            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.97            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.98/32.97            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.98/32.97            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.97            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.98/32.97            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.98/32.97            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.97            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.97            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.98/32.97            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.98/32.97            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.98/32.97            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.98/32.97            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.98/32.97            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.97            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.98/32.97            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.97            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.98/32.97            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.98/32.97            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.97            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.98/32.97            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.98/32.97            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.97            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.98/32.97            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.98/32.97            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.97            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.98/32.97            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.98/32.97              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.98/32.97            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.98/32.97            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.98/32.97              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.98/32.97            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.98/32.97            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.98/32.97                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.98/32.97                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.97                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.98/32.97                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.98/32.97                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.98/32.97                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.98/32.97                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.98/32.97              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.98/32.97                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.98/32.97                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/32.97                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.98/32.97                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.98/32.97                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.98/32.97                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.97                $i(all_57_7))))
% 195.98/32.97    (46)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.98/32.97          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.98/32.97    (47)   ~ (all_52_9 = e2)
% 195.98/32.97    (48)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.98/32.97    (49)   ~ (all_52_12 = e0)
% 195.98/32.97    (50)  op(e0, e1) = all_52_11
% 195.98/32.97    (51)  all_56_1 = e0
% 195.98/32.97    (52)   ~ (all_4_2 = e1)
% 195.98/32.97    (53)  op(e1, e1) = e0
% 195.98/32.97    (54)   ~ (all_14_2 = e3)
% 195.98/32.97    (55)   ~ (all_4_2 = e3)
% 195.98/32.97    (56)   ~ (all_52_8 = all_52_12)
% 195.98/32.97    (57)  op(e3, e3) = e2
% 195.98/32.97    (58)  all_54_15 = all_14_2
% 195.98/32.97    (59)   ~ (e1 = e0)
% 195.98/32.97    (60)  all_54_5 = all_4_2
% 195.98/32.97    (61)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.98/32.97          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.98/32.97    (62)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.98/32.97    (63)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.98/32.97              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.98/32.97                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.98/32.97                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.98/32.97    (64)   ~ (e2 = e1)
% 195.98/32.97    (65)   ~ (all_52_11 = e0)
% 195.98/32.97    (66)   ~ (all_52_3 = e0)
% 195.98/32.97    (67)  op(e3, e0) = all_52_12
% 195.98/32.97    (68)  op(e2, e2) = e2
% 195.98/32.97    (69)  all_56_2 = e0
% 195.98/32.97    (70)  op(e2, e1) = all_52_9
% 195.98/32.97    (71)  op(e0, e0) = e0
% 195.98/32.97    (72)   ~ (all_52_13 = e0)
% 195.98/32.97    (73)  op(e3, e1) = all_52_8
% 195.98/32.97    (74)   ~ (e3 = e1)
% 195.98/32.97    (75)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.98/32.97          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.98/32.97    (76)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.98/32.97          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.98/32.97    (77)  all_54_15 = e1 | all_54_15 = e0
% 195.98/32.97    (78)  op(e0, e2) = all_52_7
% 195.98/32.97    (79)   ~ (e2 = e0)
% 195.98/32.97    (80)  op(e2, e3) = all_52_1
% 195.98/32.97    (81)  op(all_38_1, e1) = all_38_0
% 195.98/32.97    (82)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.98/32.97    (83)   ~ (e3 = e0)
% 195.98/32.97    (84)   ~ (all_52_3 = all_52_11)
% 195.98/32.97    (85)   ~ (all_52_9 = all_52_11)
% 195.98/32.97  
% 195.98/32.97  Begin of proof
% 195.98/32.97  | 
% 195.98/32.97  | GROUND_INST: instantiating (23) with all_52_3, all_46_0, e3, e0, simplifying
% 195.98/32.97  |              with (35), (44) gives:
% 195.98/32.97  |   (86)  all_52_3 = all_46_0
% 195.98/32.97  | 
% 195.98/32.97  | GROUND_INST: instantiating (23) with e2, all_38_1, e0, e1, simplifying with
% 195.98/32.97  |              (42), (43) gives:
% 195.98/32.97  |   (87)  all_38_1 = e2
% 195.98/32.97  | 
% 195.98/32.97  | GROUND_INST: instantiating (23) with all_22_1, all_38_1, e0, e1, simplifying
% 195.98/32.97  |              with (14), (43) gives:
% 195.98/32.97  |   (88)  all_38_1 = all_22_1
% 195.98/32.97  | 
% 195.98/32.97  | COMBINE_EQS: (87), (88) imply:
% 195.98/32.97  |   (89)  all_22_1 = e2
% 195.98/32.97  | 
% 195.98/32.97  | COMBINE_EQS: (30), (86) imply:
% 195.98/32.97  |   (90)  all_54_12 = all_46_0
% 195.98/32.97  | 
% 195.98/32.97  | REDUCE: (29), (86) imply:
% 195.98/32.97  |   (91)   ~ (all_52_7 = all_46_0)
% 195.98/32.97  | 
% 195.98/32.97  | SIMP: (91) implies:
% 195.98/32.97  |   (92)   ~ (all_52_7 = all_46_0)
% 195.98/32.97  | 
% 195.98/32.97  | REDUCE: (11), (86) imply:
% 195.98/32.97  |   (93)   ~ (all_46_0 = e2)
% 195.98/32.97  | 
% 195.98/32.97  | REDUCE: (66), (86) imply:
% 195.98/32.97  |   (94)   ~ (all_46_0 = e0)
% 195.98/32.97  | 
% 195.98/32.97  | REDUCE: (81), (87) imply:
% 195.98/32.97  |   (95)  op(e2, e1) = all_38_0
% 195.98/32.97  | 
% 195.98/32.97  | BETA: splitting (33) gives:
% 195.98/32.97  | 
% 195.98/32.97  | Case 1:
% 195.98/32.97  | | 
% 195.98/32.97  | |   (96)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 195.98/32.97  | |           e1)
% 195.98/32.97  | | 
% 195.98/32.97  | | BETA: splitting (96) gives:
% 195.98/32.97  | | 
% 195.98/32.97  | | Case 1:
% 195.98/32.97  | | | 
% 195.98/32.97  | | |   (97)  all_56_12 = e1 & op(e0, e3) = e1
% 195.98/32.97  | | | 
% 195.98/32.97  | | | ALPHA: (97) implies:
% 195.98/32.97  | | |   (98)  all_56_12 = e1
% 195.98/32.97  | | | 
% 195.98/32.97  | | | BETA: splitting (2) gives:
% 195.98/32.97  | | | 
% 195.98/32.97  | | | Case 1:
% 195.98/32.97  | | | | 
% 195.98/32.97  | | | |   (99)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0,
% 195.98/32.97  | | | |             e2) = e3)
% 195.98/32.97  | | | | 
% 195.98/32.97  | | | | BETA: splitting (99) gives:
% 195.98/32.97  | | | | 
% 195.98/32.97  | | | | Case 1:
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | |   (100)  all_56_12 = e3 & op(e0, e3) = e3
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | | ALPHA: (100) implies:
% 195.98/32.97  | | | | |   (101)  all_56_12 = e3
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | | REF_CLOSE: (74), (98), (101) are inconsistent by sub-proof #1674.
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | Case 2:
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | |   (102)  all_56_13 = e3 & op(e0, e2) = e3
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | | ALPHA: (102) implies:
% 195.98/32.97  | | | | |   (103)  op(e0, e2) = e3
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | | BETA: splitting (27) gives:
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | | Case 1:
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | |   (104)  all_54_12 = e3
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | | COMBINE_EQS: (90), (104) imply:
% 195.98/32.97  | | | | | |   (105)  all_46_0 = e3
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | | SIMP: (105) implies:
% 195.98/32.97  | | | | | |   (106)  all_46_0 = e3
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | | REDUCE: (92), (106) imply:
% 195.98/32.97  | | | | | |   (107)   ~ (all_52_7 = e3)
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | | REF_CLOSE: (23), (78), (103), (107) are inconsistent by sub-proof
% 195.98/32.97  | | | | | |            #783.
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | Case 2:
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | |   (108)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | | REF_CLOSE: (34), (90), (93), (94), (108) are inconsistent by
% 195.98/32.97  | | | | | |            sub-proof #767.
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | End of split
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | End of split
% 195.98/32.97  | | | | 
% 195.98/32.97  | | | Case 2:
% 195.98/32.97  | | | | 
% 195.98/32.97  | | | |   (109)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 195.98/32.97  | | | |              e0) = e3)
% 195.98/32.97  | | | | 
% 195.98/32.97  | | | | REF_CLOSE: (9), (13), (22), (23), (36), (54), (58), (77), (109) are
% 195.98/32.97  | | | |            inconsistent by sub-proof #781.
% 195.98/32.97  | | | | 
% 195.98/32.97  | | | End of split
% 195.98/32.97  | | | 
% 195.98/32.97  | | Case 2:
% 195.98/32.97  | | | 
% 195.98/32.97  | | |   (110)  all_56_13 = e1 & op(e0, e2) = e1
% 195.98/32.97  | | | 
% 195.98/32.97  | | | ALPHA: (110) implies:
% 195.98/32.97  | | |   (111)  all_56_13 = e1
% 195.98/32.97  | | | 
% 195.98/32.97  | | | BETA: splitting (2) gives:
% 195.98/32.97  | | | 
% 195.98/32.97  | | | Case 1:
% 195.98/32.97  | | | | 
% 195.98/32.97  | | | |   (112)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0,
% 195.98/32.97  | | | |              e2) = e3)
% 195.98/32.97  | | | | 
% 195.98/32.97  | | | | BETA: splitting (112) gives:
% 195.98/32.97  | | | | 
% 195.98/32.97  | | | | Case 1:
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | |   (113)  all_56_12 = e3 & op(e0, e3) = e3
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | | ALPHA: (113) implies:
% 195.98/32.97  | | | | |   (114)  all_56_12 = e3
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | | BETA: splitting (40) gives:
% 195.98/32.97  | | | | | 
% 195.98/32.97  | | | | | Case 1:
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | |   (115)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2,
% 195.98/32.97  | | | | | |              e2) = e3)
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | | REF_CLOSE: (23), (24), (51), (55), (83), (115) are inconsistent by
% 195.98/32.97  | | | | | |            sub-proof #1928.
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | Case 2:
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | |   (116)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 195.98/32.97  | | | | | |            op(e0, e2) = e3)
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | | BETA: splitting (116) gives:
% 195.98/32.97  | | | | | | 
% 195.98/32.97  | | | | | | Case 1:
% 195.98/32.97  | | | | | | | 
% 195.98/32.97  | | | | | | |   (117)  all_56_7 = e3 & op(e1, e2) = e3
% 195.98/32.97  | | | | | | | 
% 195.98/32.97  | | | | | | | ALPHA: (117) implies:
% 195.98/32.97  | | | | | | |   (118)  all_56_7 = e3
% 195.98/32.97  | | | | | | |   (119)  op(e1, e2) = e3
% 195.98/32.97  | | | | | | | 
% 195.98/32.97  | | | | | | | BETA: splitting (46) gives:
% 195.98/32.97  | | | | | | | 
% 195.98/32.97  | | | | | | | Case 1:
% 195.98/32.97  | | | | | | | | 
% 195.98/32.97  | | | | | | | |   (120)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 &
% 195.98/32.97  | | | | | | | |            op(e1, e2) = e1)
% 195.98/32.97  | | | | | | | | 
% 195.98/32.97  | | | | | | | | BETA: splitting (120) gives:
% 195.98/32.97  | | | | | | | | 
% 195.98/32.97  | | | | | | | | Case 1:
% 195.98/32.97  | | | | | | | | | 
% 195.98/32.97  | | | | | | | | |   (121)  all_56_6 = e1 & op(e1, e3) = e1
% 195.98/32.97  | | | | | | | | | 
% 195.98/32.97  | | | | | | | | | ALPHA: (121) implies:
% 195.98/32.97  | | | | | | | | |   (122)  op(e1, e3) = e1
% 195.98/32.97  | | | | | | | | | 
% 195.98/32.97  | | | | | | | | | BETA: splitting (27) gives:
% 195.98/32.97  | | | | | | | | | 
% 195.98/32.97  | | | | | | | | | Case 1:
% 195.98/32.97  | | | | | | | | | | 
% 195.98/32.97  | | | | | | | | | |   (123)  all_54_12 = e3
% 195.98/32.97  | | | | | | | | | | 
% 195.98/32.97  | | | | | | | | | | COMBINE_EQS: (90), (123) imply:
% 195.98/32.97  | | | | | | | | | |   (124)  all_46_0 = e3
% 195.98/32.97  | | | | | | | | | | 
% 195.98/32.97  | | | | | | | | | | SIMP: (124) implies:
% 195.98/32.97  | | | | | | | | | |   (125)  all_46_0 = e3
% 195.98/32.97  | | | | | | | | | | 
% 195.98/32.97  | | | | | | | | | | REDUCE: (92), (125) imply:
% 195.98/32.97  | | | | | | | | | |   (126)   ~ (all_52_7 = e3)
% 195.98/32.97  | | | | | | | | | | 
% 195.98/32.97  | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 195.98/32.97  | | | | | | | | | |            (12), (13), (15), (16), (17), (18), (19), (20),
% 195.98/32.97  | | | | | | | | | |            (21), (22), (23), (24), (25), (26), (28), (31),
% 195.98/32.97  | | | | | | | | | |            (33), (35), (36), (37), (38), (39), (40), (41),
% 195.98/32.97  | | | | | | | | | |            (45), (47), (48), (49), (50), (52), (53), (54),
% 195.98/32.97  | | | | | | | | | |            (55), (56), (57), (58), (60), (61), (62), (63),
% 195.98/32.97  | | | | | | | | | |            (65), (66), (67), (68), (70), (71), (72), (73),
% 195.98/32.97  | | | | | | | | | |            (77), (78), (79), (80), (82), (83), (84), (85),
% 195.98/32.97  | | | | | | | | | |            (95), (111), (114), (118), (119), (122), (126) are
% 195.98/32.97  | | | | | | | | | |            inconsistent by sub-proof #773.
% 195.98/32.97  | | | | | | | | | | 
% 195.98/32.97  | | | | | | | | | Case 2:
% 195.98/32.97  | | | | | | | | | | 
% 195.98/32.98  | | | | | | | | | |   (127)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/32.98  | | | | | | | | | | 
% 195.98/32.98  | | | | | | | | | | REF_CLOSE: (34), (90), (93), (94), (127) are inconsistent by
% 195.98/32.98  | | | | | | | | | |            sub-proof #767.
% 195.98/32.98  | | | | | | | | | | 
% 195.98/32.98  | | | | | | | | | End of split
% 195.98/32.98  | | | | | | | | | 
% 195.98/32.98  | | | | | | | | Case 2:
% 195.98/32.98  | | | | | | | | | 
% 195.98/32.98  | | | | | | | | |   (128)  all_56_7 = e1 & op(e1, e2) = e1
% 195.98/32.98  | | | | | | | | | 
% 195.98/32.98  | | | | | | | | | REF_CLOSE: (20), (22), (23), (32), (46), (53), (57), (59),
% 195.98/32.98  | | | | | | | | |            (64), (69), (74), (75), (76), (79), (83), (114),
% 195.98/32.98  | | | | | | | | |            (128) are inconsistent by sub-proof #771.
% 195.98/32.98  | | | | | | | | | 
% 195.98/32.98  | | | | | | | | End of split
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | Case 2:
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | |   (129)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 &
% 195.98/32.98  | | | | | | | |            op(e1, e0) = e1)
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | | REF_CLOSE: (23), (32), (53), (59), (64), (129) are inconsistent
% 195.98/32.98  | | | | | | | |            by sub-proof #1559.
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | End of split
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | Case 2:
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | |   (130)  all_56_13 = e3 & op(e0, e2) = e3
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | | ALPHA: (130) implies:
% 195.98/32.98  | | | | | | |   (131)  all_56_13 = e3
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | | REF_CLOSE: (74), (111), (131) are inconsistent by sub-proof #1864.
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | End of split
% 195.98/32.98  | | | | | | 
% 195.98/32.98  | | | | | End of split
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | Case 2:
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | |   (132)  all_56_13 = e3 & op(e0, e2) = e3
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | | REF_CLOSE: (74), (111), (132) are inconsistent by sub-proof #770.
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | End of split
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | Case 2:
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | |   (133)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 195.98/32.98  | | | |              e0) = e3)
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | | REF_CLOSE: (9), (13), (22), (23), (36), (54), (58), (77), (133) are
% 195.98/32.98  | | | |            inconsistent by sub-proof #781.
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | End of split
% 195.98/32.98  | | | 
% 195.98/32.98  | | End of split
% 195.98/32.98  | | 
% 195.98/32.98  | Case 2:
% 195.98/32.98  | | 
% 195.98/32.98  | |   (134)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.98/32.98  | |            e1)
% 195.98/32.98  | | 
% 195.98/32.98  | | REF_CLOSE: (23), (36), (59), (64), (71), (134) are inconsistent by sub-proof
% 195.98/32.98  | |            #1595.
% 195.98/32.98  | | 
% 195.98/32.98  | End of split
% 195.98/32.98  | 
% 195.98/32.98  End of proof
% 195.98/32.98  
% 195.98/32.98  Sub-proof #767 shows that the following formulas are inconsistent:
% 195.98/32.98  ----------------------------------------------------------------
% 195.98/32.98    (1)  all_54_12 = all_46_0
% 195.98/32.98    (2)   ~ (all_46_0 = e1)
% 195.98/32.98    (3)   ~ (all_46_0 = e0)
% 195.98/32.98    (4)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/32.98    (5)   ~ (all_46_0 = e2)
% 195.98/32.98  
% 195.98/32.98  Begin of proof
% 195.98/32.98  | 
% 195.98/32.98  | BETA: splitting (4) gives:
% 195.98/32.98  | 
% 195.98/32.98  | Case 1:
% 195.98/32.98  | | 
% 195.98/32.98  | |   (6)  all_54_12 = e2
% 195.98/32.98  | | 
% 195.98/32.98  | | COMBINE_EQS: (1), (6) imply:
% 195.98/32.98  | |   (7)  all_46_0 = e2
% 195.98/32.98  | | 
% 195.98/32.98  | | SIMP: (7) implies:
% 195.98/32.98  | |   (8)  all_46_0 = e2
% 195.98/32.98  | | 
% 195.98/32.98  | | REDUCE: (5), (8) imply:
% 195.98/32.98  | |   (9)  $false
% 195.98/32.98  | | 
% 195.98/32.98  | | CLOSE: (9) is inconsistent.
% 195.98/32.98  | | 
% 195.98/32.98  | Case 2:
% 195.98/32.98  | | 
% 195.98/32.98  | |   (10)  all_54_12 = e1 | all_54_12 = e0
% 195.98/32.98  | | 
% 195.98/32.98  | | BETA: splitting (10) gives:
% 195.98/32.98  | | 
% 195.98/32.98  | | Case 1:
% 195.98/32.98  | | | 
% 195.98/32.98  | | |   (11)  all_54_12 = e1
% 195.98/32.98  | | | 
% 195.98/32.98  | | | COMBINE_EQS: (1), (11) imply:
% 195.98/32.98  | | |   (12)  all_46_0 = e1
% 195.98/32.98  | | | 
% 195.98/32.98  | | | SIMP: (12) implies:
% 195.98/32.98  | | |   (13)  all_46_0 = e1
% 195.98/32.98  | | | 
% 195.98/32.98  | | | REDUCE: (2), (13) imply:
% 195.98/32.98  | | |   (14)  $false
% 195.98/32.98  | | | 
% 195.98/32.98  | | | CLOSE: (14) is inconsistent.
% 195.98/32.98  | | | 
% 195.98/32.98  | | Case 2:
% 195.98/32.98  | | | 
% 195.98/32.98  | | |   (15)  all_54_12 = e0
% 195.98/32.98  | | | 
% 195.98/32.98  | | | COMBINE_EQS: (1), (15) imply:
% 195.98/32.98  | | |   (16)  all_46_0 = e0
% 195.98/32.98  | | | 
% 195.98/32.98  | | | SIMP: (16) implies:
% 195.98/32.98  | | |   (17)  all_46_0 = e0
% 195.98/32.98  | | | 
% 195.98/32.98  | | | REDUCE: (3), (17) imply:
% 195.98/32.98  | | |   (18)  $false
% 195.98/32.98  | | | 
% 195.98/32.98  | | | CLOSE: (18) is inconsistent.
% 195.98/32.98  | | | 
% 195.98/32.98  | | End of split
% 195.98/32.98  | | 
% 195.98/32.98  | End of split
% 195.98/32.98  | 
% 195.98/32.98  End of proof
% 195.98/32.98  
% 195.98/32.98  Sub-proof #768 shows that the following formulas are inconsistent:
% 195.98/32.98  ----------------------------------------------------------------
% 195.98/32.98    (1)   ~ (all_38_1 = e2) & op(e1, e0) = all_38_1 & $i(all_38_1)
% 195.98/32.98    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.98    (3)  op(e1, e0) = e2
% 195.98/32.98  
% 195.98/32.98  Begin of proof
% 195.98/32.98  | 
% 195.98/32.98  | ALPHA: (1) implies:
% 195.98/32.98  |   (4)   ~ (all_38_1 = e2)
% 195.98/32.98  |   (5)  op(e1, e0) = all_38_1
% 195.98/32.98  | 
% 195.98/32.98  | GROUND_INST: instantiating (2) with e2, all_38_1, e0, e1, simplifying with
% 195.98/32.98  |              (3), (5) gives:
% 195.98/32.98  |   (6)  all_38_1 = e2
% 195.98/32.98  | 
% 195.98/32.98  | REDUCE: (4), (6) imply:
% 195.98/32.98  |   (7)  $false
% 195.98/32.98  | 
% 195.98/32.98  | CLOSE: (7) is inconsistent.
% 195.98/32.98  | 
% 195.98/32.98  End of proof
% 195.98/32.98  
% 195.98/32.98  Sub-proof #769 shows that the following formulas are inconsistent:
% 195.98/32.98  ----------------------------------------------------------------
% 195.98/32.98    (1)   ~ (all_52_1 = all_4_2)
% 195.98/32.98    (2)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.98/32.98         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.98/32.98    (3)   ~ (all_52_7 = e0)
% 195.98/32.98    (4)  op(e1, e3) = all_52_2
% 195.98/32.98    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.98/32.98           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.98/32.98           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.98/32.98                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.98/32.98               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.98/32.98               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.98/32.98           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.98/32.98           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.98/32.98               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.98/32.98           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.98/32.98               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.98/32.98           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.98/32.98           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.98/32.98               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.98/32.98               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.98/32.98               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/32.98         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.98/32.98           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.98/32.98           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.98/32.98               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.98/32.98             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/32.98         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.98/32.98           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.98/32.98           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.98/32.98                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.98/32.98               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.98/32.98               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.98/32.98           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.98/32.98           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.98/32.98             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.98/32.98           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.98/32.98               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.98/32.98           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.98/32.98           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.98/32.98               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.98/32.98               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.98/32.98               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/32.98         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.98/32.98           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.98/32.98           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.98/32.98               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.98/32.98             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/32.98         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.98/32.98           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.98/32.98           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.98/32.98                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.98/32.98               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.98/32.98               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.98/32.98           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.98/32.98             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.98/32.98               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.98/32.98           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.98/32.98               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.98/32.98           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.98/32.98           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.98/32.98               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.98/32.98               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.98/32.98               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.98/32.98         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.98/32.98           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.98/32.98           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.98/32.98               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.98/32.98             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.98/32.98         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.98/32.98             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.98/32.98           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.98/32.98               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.98/32.98             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/32.98         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.98/32.98             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.98/32.98           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.98/32.98               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.98/32.98             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/32.98         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.98/32.98             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.98/32.98           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.98/32.98               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.98/32.98             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/32.98         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.98/32.98             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.98/32.98           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.98/32.98               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.98/32.98             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.98/32.98    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.98/32.98         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 195.98/32.98    (7)  op(e1, e2) = all_52_6
% 195.98/32.98    (8)   ~ (all_52_14 = e0)
% 195.98/32.98    (9)  op(e0, e0) = all_14_2
% 195.98/32.98    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.98/32.98          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.98/32.98    (11)   ~ (all_52_7 = e2)
% 195.98/32.98    (12)   ~ (all_14_2 = e1)
% 195.98/32.98    (13)  all_54_6 = all_52_9
% 195.98/32.98    (14)  all_54_12 = all_12_0
% 195.98/32.98    (15)   ~ (all_52_6 = all_52_7)
% 195.98/32.98    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.98/32.98          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.98/32.98    (17)   ~ (all_52_2 = e0)
% 195.98/32.98    (18)   ~ (all_4_2 = e0)
% 195.98/32.98    (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.98/32.98          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.98/32.98    (20)   ~ (all_52_13 = e2)
% 195.98/32.98    (21)   ~ (e3 = e2)
% 195.98/32.98    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.98            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.98    (23)  op(e2, e2) = all_4_2
% 195.98/32.98    (24)   ~ (all_52_9 = e0)
% 195.98/32.98    (25)   ~ (all_38_0 = e3)
% 195.98/32.98    (26)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/32.98    (27)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.98/32.98          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.98/32.98    (28)  all_54_13 = all_52_7
% 195.98/32.98    (29)  all_56_11 = e2
% 195.98/32.98    (30)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.98/32.98          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.98/32.98            e1)
% 195.98/32.98    (31)  op(e0, e3) = all_52_3
% 195.98/32.98    (32)  all_56_14 = e2
% 195.98/32.98    (33)  op(e2, e0) = all_52_13
% 195.98/32.98    (34)  op(e1, e0) = all_52_14
% 195.98/32.98    (35)   ~ (all_12_0 = e0)
% 195.98/32.98    (36)   ~ (all_52_12 = e2)
% 195.98/32.98    (37)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.98/32.98          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.98/32.98    (38)   ~ (all_52_8 = all_52_9)
% 195.98/32.98    (39)   ~ (all_12_0 = e1)
% 195.98/32.98    (40)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.98/32.98              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.98/32.98            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.98/32.98            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.98/32.98            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.98/32.98            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.98/32.98            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.98/32.98            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.98/32.98            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.98/32.98            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.98/32.98            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.98/32.98            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.98/32.98            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.98            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/32.98            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.98/32.98            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.98            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.98/32.98            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.98/32.98            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.98            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.98/32.98            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.98/32.98            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.98            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.98/32.98            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.98/32.98            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.98            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.98/32.98            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.98/32.98            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.98            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.98            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.98/32.98            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.98/32.98            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.98/32.98            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.98/32.98            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.98/32.98            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.98            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.98/32.98            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.98            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.98/32.98            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.98/32.98            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.98            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.98/32.98            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.98/32.98            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.98            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.98/32.98            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.98/32.98            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.98            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.98/32.98            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.98/32.98              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.98/32.98            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.98/32.98            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.98/32.98              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.98/32.98            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.98/32.98            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.98/32.98                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.98/32.98                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.98                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.98/32.98                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.98/32.98                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.98/32.98                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.98/32.98                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.98/32.98              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.98/32.98                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.98/32.98                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/32.98                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.98/32.98                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.98/32.98                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.98/32.98                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.98                $i(all_57_7))))
% 195.98/32.98    (41)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.98/32.98          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.98/32.98    (42)   ~ (all_52_9 = e2)
% 195.98/32.98    (43)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.98/32.98    (44)   ~ (all_52_12 = e0)
% 195.98/32.98    (45)  op(e0, e1) = all_52_11
% 195.98/32.98    (46)  all_56_1 = e0
% 195.98/32.98    (47)   ~ (all_4_2 = e1)
% 195.98/32.98    (48)  op(e1, e1) = e0
% 195.98/32.98    (49)   ~ (all_14_2 = e3)
% 195.98/32.98    (50)   ~ (all_4_2 = e3)
% 195.98/32.98    (51)   ~ (all_52_8 = all_52_12)
% 195.98/32.98    (52)  op(e3, e3) = e2
% 195.98/32.98    (53)  all_54_15 = all_14_2
% 195.98/32.98    (54)   ~ (e1 = e0)
% 195.98/32.98    (55)   ~ (all_52_7 = all_12_0)
% 195.98/32.98    (56)  all_54_5 = all_4_2
% 195.98/32.98    (57)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.98/32.98          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.98/32.98    (58)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.98/32.98    (59)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.98/32.98              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.98/32.98                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.98/32.98                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.98/32.98    (60)   ~ (e2 = e1)
% 195.98/32.98    (61)   ~ (all_52_11 = e0)
% 195.98/32.98    (62)   ~ (all_52_3 = e0)
% 195.98/32.98    (63)  op(e3, e0) = all_52_12
% 195.98/32.98    (64)  op(e2, e2) = e2
% 195.98/32.98    (65)  all_56_2 = e0
% 195.98/32.98    (66)  op(e2, e1) = all_38_0
% 195.98/32.98    (67)  op(e2, e1) = all_52_9
% 195.98/32.98    (68)  op(e0, e0) = e0
% 195.98/32.98    (69)   ~ (all_52_13 = e0)
% 195.98/32.98    (70)  op(e3, e1) = all_52_8
% 195.98/32.98    (71)   ~ (e3 = e1)
% 195.98/32.98    (72)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.98/32.98          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.98/32.98    (73)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.98/32.98          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.98/32.98    (74)  all_54_15 = e1 | all_54_15 = e0
% 195.98/32.98    (75)  op(e0, e2) = all_52_7
% 195.98/32.98    (76)   ~ (e2 = e0)
% 195.98/32.98    (77)  op(e2, e3) = all_52_1
% 195.98/32.98    (78)   ~ (all_12_0 = e2)
% 195.98/32.98    (79)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.98/32.98    (80)   ~ (e3 = e0)
% 195.98/32.98    (81)   ~ (all_52_3 = all_52_11)
% 195.98/32.98    (82)   ~ (all_52_9 = all_52_11)
% 195.98/32.98    (83)  all_56_13 = e1
% 195.98/32.98  
% 195.98/32.98  Begin of proof
% 195.98/32.98  | 
% 195.98/32.98  | BETA: splitting (2) gives:
% 195.98/32.98  | 
% 195.98/32.98  | Case 1:
% 195.98/32.98  | | 
% 195.98/32.98  | |   (84)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 195.98/32.98  | |           e3)
% 195.98/32.98  | | 
% 195.98/32.98  | | BETA: splitting (84) gives:
% 195.98/32.98  | | 
% 195.98/32.98  | | Case 1:
% 195.98/32.98  | | | 
% 195.98/32.98  | | |   (85)  all_56_12 = e3 & op(e0, e3) = e3
% 195.98/32.98  | | | 
% 195.98/32.98  | | | ALPHA: (85) implies:
% 195.98/32.98  | | |   (86)  all_56_12 = e3
% 195.98/32.98  | | | 
% 195.98/32.98  | | | BETA: splitting (37) gives:
% 195.98/32.98  | | | 
% 195.98/32.98  | | | Case 1:
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | |   (87)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 195.98/32.98  | | | |           = e3)
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | | REF_CLOSE: (22), (23), (46), (50), (80), (87) are inconsistent by
% 195.98/32.98  | | | |            sub-proof #1928.
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | Case 2:
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | |   (88)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2)
% 195.98/32.98  | | | |           = e3)
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | | BETA: splitting (88) gives:
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | | Case 1:
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | |   (89)  all_56_7 = e3 & op(e1, e2) = e3
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | | ALPHA: (89) implies:
% 195.98/32.98  | | | | |   (90)  all_56_7 = e3
% 195.98/32.98  | | | | |   (91)  op(e1, e2) = e3
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | | BETA: splitting (41) gives:
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | | Case 1:
% 195.98/32.98  | | | | | | 
% 195.98/32.98  | | | | | |   (92)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1,
% 195.98/32.98  | | | | | |             e2) = e1)
% 195.98/32.98  | | | | | | 
% 195.98/32.98  | | | | | | BETA: splitting (92) gives:
% 195.98/32.98  | | | | | | 
% 195.98/32.98  | | | | | | Case 1:
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | |   (93)  all_56_6 = e1 & op(e1, e3) = e1
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | | ALPHA: (93) implies:
% 195.98/32.98  | | | | | | |   (94)  op(e1, e3) = e1
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | | BETA: splitting (26) gives:
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | | Case 1:
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | |   (95)  all_54_12 = e3
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | | COMBINE_EQS: (14), (95) imply:
% 195.98/32.98  | | | | | | | |   (96)  all_12_0 = e3
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | | SIMP: (96) implies:
% 195.98/32.98  | | | | | | | |   (97)  all_12_0 = e3
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | | REDUCE: (55), (97) imply:
% 195.98/32.98  | | | | | | | |   (98)   ~ (all_52_7 = e3)
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 195.98/32.98  | | | | | | | |            (11), (12), (13), (15), (16), (17), (18), (19), (20),
% 195.98/32.98  | | | | | | | |            (21), (22), (23), (24), (25), (27), (28), (30), (31),
% 195.98/32.98  | | | | | | | |            (32), (33), (34), (36), (37), (38), (40), (42), (43),
% 195.98/32.98  | | | | | | | |            (44), (45), (47), (48), (49), (50), (51), (52), (53),
% 195.98/32.98  | | | | | | | |            (56), (57), (58), (59), (61), (62), (63), (64), (66),
% 195.98/32.98  | | | | | | | |            (67), (68), (69), (70), (74), (75), (76), (77), (79),
% 195.98/32.98  | | | | | | | |            (80), (81), (82), (83), (86), (90), (91), (94), (98)
% 195.98/32.98  | | | | | | | |            are inconsistent by sub-proof #773.
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | Case 2:
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | |   (99)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | | REF_CLOSE: (14), (35), (39), (78), (99) are inconsistent by
% 195.98/32.98  | | | | | | | |            sub-proof #782.
% 195.98/32.98  | | | | | | | | 
% 195.98/32.98  | | | | | | | End of split
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | Case 2:
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | |   (100)  all_56_7 = e1 & op(e1, e2) = e1
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | | REF_CLOSE: (19), (21), (22), (29), (41), (48), (52), (54), (60),
% 195.98/32.98  | | | | | | |            (65), (71), (72), (73), (76), (80), (86), (100) are
% 195.98/32.98  | | | | | | |            inconsistent by sub-proof #771.
% 195.98/32.98  | | | | | | | 
% 195.98/32.98  | | | | | | End of split
% 195.98/32.98  | | | | | | 
% 195.98/32.98  | | | | | Case 2:
% 195.98/32.98  | | | | | | 
% 195.98/32.98  | | | | | |   (101)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 &
% 195.98/32.98  | | | | | |            op(e1, e0) = e1)
% 195.98/32.98  | | | | | | 
% 195.98/32.98  | | | | | | REF_CLOSE: (22), (29), (48), (54), (60), (101) are inconsistent by
% 195.98/32.98  | | | | | |            sub-proof #1559.
% 195.98/32.98  | | | | | | 
% 195.98/32.98  | | | | | End of split
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | Case 2:
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | |   (102)  all_56_13 = e3 & op(e0, e2) = e3
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | | ALPHA: (102) implies:
% 195.98/32.98  | | | | |   (103)  all_56_13 = e3
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | | REF_CLOSE: (71), (83), (103) are inconsistent by sub-proof #1864.
% 195.98/32.98  | | | | | 
% 195.98/32.98  | | | | End of split
% 195.98/32.98  | | | | 
% 195.98/32.98  | | | End of split
% 195.98/32.98  | | | 
% 195.98/32.98  | | Case 2:
% 195.98/32.98  | | | 
% 195.98/32.98  | | |   (104)  all_56_13 = e3 & op(e0, e2) = e3
% 195.98/32.98  | | | 
% 195.98/32.98  | | | REF_CLOSE: (71), (83), (104) are inconsistent by sub-proof #770.
% 195.98/32.98  | | | 
% 195.98/32.98  | | End of split
% 195.98/32.98  | | 
% 195.98/32.98  | Case 2:
% 195.98/32.98  | | 
% 195.98/32.98  | |   (105)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 195.98/32.98  | |            e3)
% 195.98/32.98  | | 
% 195.98/32.98  | | REF_CLOSE: (9), (12), (21), (22), (32), (49), (53), (74), (105) are
% 195.98/32.98  | |            inconsistent by sub-proof #781.
% 195.98/32.98  | | 
% 195.98/32.98  | End of split
% 195.98/32.98  | 
% 195.98/32.98  End of proof
% 195.98/32.98  
% 195.98/32.98  Sub-proof #770 shows that the following formulas are inconsistent:
% 195.98/32.98  ----------------------------------------------------------------
% 195.98/32.98    (1)  all_56_13 = e3 & op(e0, e2) = e3
% 195.98/32.98    (2)  all_56_13 = e1
% 195.98/32.98    (3)   ~ (e3 = e1)
% 195.98/32.98  
% 195.98/32.98  Begin of proof
% 195.98/32.98  | 
% 195.98/32.98  | ALPHA: (1) implies:
% 195.98/32.98  |   (4)  all_56_13 = e3
% 195.98/32.98  | 
% 195.98/32.98  | COMBINE_EQS: (2), (4) imply:
% 195.98/32.98  |   (5)  e3 = e1
% 195.98/32.98  | 
% 195.98/32.98  | REDUCE: (3), (5) imply:
% 195.98/32.98  |   (6)  $false
% 195.98/32.98  | 
% 195.98/32.98  | CLOSE: (6) is inconsistent.
% 195.98/32.98  | 
% 195.98/32.98  End of proof
% 195.98/32.98  
% 195.98/32.98  Sub-proof #771 shows that the following formulas are inconsistent:
% 195.98/32.98  ----------------------------------------------------------------
% 195.98/32.98    (1)  all_56_7 = e1 & op(e1, e2) = e1
% 195.98/32.98    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.98/32.98         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.98/32.98    (3)   ~ (e3 = e2)
% 195.98/32.99    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.99    (5)  all_56_11 = e2
% 195.98/32.99    (6)  all_56_12 = e3
% 195.98/32.99    (7)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.98/32.99         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.98/32.99    (8)  op(e1, e1) = e0
% 195.98/32.99    (9)  op(e3, e3) = e2
% 195.98/32.99    (10)   ~ (e1 = e0)
% 195.98/32.99    (11)   ~ (e2 = e1)
% 195.98/32.99    (12)  all_56_2 = e0
% 195.98/32.99    (13)   ~ (e3 = e1)
% 195.98/32.99    (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 195.98/32.99          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 195.98/32.99    (15)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.98/32.99          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.98/32.99    (16)   ~ (e2 = e0)
% 195.98/32.99    (17)   ~ (e3 = e0)
% 195.98/32.99  
% 195.98/32.99  Begin of proof
% 195.98/32.99  | 
% 195.98/32.99  | ALPHA: (1) implies:
% 195.98/32.99  |   (18)  all_56_7 = e1
% 195.98/32.99  | 
% 195.98/32.99  | BETA: splitting (2) gives:
% 195.98/32.99  | 
% 195.98/32.99  | Case 1:
% 195.98/32.99  | | 
% 195.98/32.99  | |   (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 195.98/32.99  | |           e1)
% 195.98/32.99  | | 
% 195.98/32.99  | | BETA: splitting (19) gives:
% 195.98/32.99  | | 
% 195.98/32.99  | | Case 1:
% 195.98/32.99  | | | 
% 195.98/32.99  | | |   (20)  all_56_0 = e1 & op(e3, e3) = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | ALPHA: (20) implies:
% 195.98/32.99  | | |   (21)  op(e3, e3) = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | REF_CLOSE: (4), (9), (11), (21) are inconsistent by sub-proof #1934.
% 195.98/32.99  | | | 
% 195.98/32.99  | | Case 2:
% 195.98/32.99  | | | 
% 195.98/32.99  | | |   (22)  all_56_2 = e1 & op(e2, e3) = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | ALPHA: (22) implies:
% 195.98/32.99  | | |   (23)  all_56_2 = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | COMBINE_EQS: (12), (23) imply:
% 195.98/32.99  | | |   (24)  e1 = e0
% 195.98/32.99  | | | 
% 195.98/32.99  | | | COMBINE_EQS: (18), (24) imply:
% 195.98/32.99  | | |   (25)  all_56_7 = e0
% 195.98/32.99  | | | 
% 195.98/32.99  | | | REF_CLOSE: (3), (4), (5), (7), (8), (10), (11), (13), (15), (17), (25) are
% 195.98/32.99  | | |            inconsistent by sub-proof #772.
% 195.98/32.99  | | | 
% 195.98/32.99  | | End of split
% 195.98/32.99  | | 
% 195.98/32.99  | Case 2:
% 195.98/32.99  | | 
% 195.98/32.99  | |   (26)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 195.98/32.99  | |           e1)
% 195.98/32.99  | | 
% 195.98/32.99  | | BETA: splitting (26) gives:
% 195.98/32.99  | | 
% 195.98/32.99  | | Case 1:
% 195.98/32.99  | | | 
% 195.98/32.99  | | |   (27)  all_56_6 = e1 & op(e1, e3) = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | ALPHA: (27) implies:
% 195.98/32.99  | | |   (28)  all_56_6 = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | REF_CLOSE: (3), (4), (8), (11), (13), (14), (15), (16), (17), (18), (28)
% 195.98/32.99  | | |            are inconsistent by sub-proof #1616.
% 195.98/32.99  | | | 
% 195.98/32.99  | | Case 2:
% 195.98/32.99  | | | 
% 195.98/32.99  | | |   (29)  all_56_12 = e1 & op(e0, e3) = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | REF_CLOSE: (6), (13), (29) are inconsistent by sub-proof #1598.
% 195.98/32.99  | | | 
% 195.98/32.99  | | End of split
% 195.98/32.99  | | 
% 195.98/32.99  | End of split
% 195.98/32.99  | 
% 195.98/32.99  End of proof
% 195.98/32.99  
% 195.98/32.99  Sub-proof #772 shows that the following formulas are inconsistent:
% 195.98/32.99  ----------------------------------------------------------------
% 195.98/32.99    (1)   ~ (e3 = e2)
% 195.98/32.99    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.99    (3)  all_56_7 = e0
% 195.98/32.99    (4)  all_56_11 = e2
% 195.98/32.99    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 195.98/32.99         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 195.98/32.99    (6)  op(e1, e1) = e0
% 195.98/32.99    (7)   ~ (e1 = e0)
% 195.98/32.99    (8)   ~ (e2 = e1)
% 195.98/32.99    (9)   ~ (e3 = e1)
% 195.98/32.99    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 195.98/32.99          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 195.98/32.99    (11)   ~ (e3 = e0)
% 195.98/32.99  
% 195.98/32.99  Begin of proof
% 195.98/32.99  | 
% 195.98/32.99  | BETA: splitting (5) gives:
% 195.98/32.99  | 
% 195.98/32.99  | Case 1:
% 195.98/32.99  | | 
% 195.98/32.99  | |   (12)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 195.98/32.99  | |           e1)
% 195.98/32.99  | | 
% 195.98/32.99  | | BETA: splitting (12) gives:
% 195.98/32.99  | | 
% 195.98/32.99  | | Case 1:
% 195.98/32.99  | | | 
% 195.98/32.99  | | |   (13)  all_56_6 = e1 & op(e1, e3) = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | ALPHA: (13) implies:
% 195.98/32.99  | | |   (14)  all_56_6 = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | REF_CLOSE: (1), (2), (3), (4), (6), (9), (10), (11), (14) are inconsistent
% 195.98/32.99  | | |            by sub-proof #1524.
% 195.98/32.99  | | | 
% 195.98/32.99  | | Case 2:
% 195.98/32.99  | | | 
% 195.98/32.99  | | |   (15)  all_56_7 = e1 & op(e1, e2) = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | ALPHA: (15) implies:
% 195.98/32.99  | | |   (16)  all_56_7 = e1
% 195.98/32.99  | | | 
% 195.98/32.99  | | | REF_CLOSE: (3), (7), (16) are inconsistent by sub-proof #1522.
% 195.98/32.99  | | | 
% 195.98/32.99  | | End of split
% 195.98/32.99  | | 
% 195.98/32.99  | Case 2:
% 195.98/32.99  | | 
% 195.98/32.99  | |   (17)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 195.98/32.99  | |           e1)
% 195.98/32.99  | | 
% 195.98/32.99  | | REF_CLOSE: (2), (4), (6), (7), (8), (17) are inconsistent by sub-proof
% 195.98/32.99  | |            #1491.
% 195.98/32.99  | | 
% 195.98/32.99  | End of split
% 195.98/32.99  | 
% 195.98/32.99  End of proof
% 195.98/32.99  
% 195.98/32.99  Sub-proof #773 shows that the following formulas are inconsistent:
% 195.98/32.99  ----------------------------------------------------------------
% 195.98/32.99    (1)   ~ (all_52_1 = all_4_2)
% 195.98/32.99    (2)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 195.98/32.99         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 195.98/32.99    (3)   ~ (all_52_7 = e0)
% 195.98/32.99    (4)  op(e1, e3) = all_52_2
% 195.98/32.99    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 195.98/32.99           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 195.98/32.99           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 195.98/32.99                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 195.98/32.99               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 195.98/32.99               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.98/32.99           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 195.98/32.99           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.98/32.99               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 195.98/32.99           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 195.98/32.99               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 195.98/32.99           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 195.98/32.99           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 195.98/32.99               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.98/32.99               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.98/32.99               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/32.99         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 195.98/32.99           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.98/32.99           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 195.98/32.99               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.98/32.99             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/32.99         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 195.98/32.99           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 195.98/32.99           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 195.98/32.99                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 195.98/32.99               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 195.98/32.99               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 195.98/32.99           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 195.98/32.99           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.98/32.99             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.98/32.99           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.98/32.99               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 195.98/32.99           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 195.98/32.99           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 195.98/32.99               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.98/32.99               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 195.98/32.99               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/32.99         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 195.98/32.99           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.98/32.99           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 195.98/32.99               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.98/32.99             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/32.99         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 195.98/32.99           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 195.98/32.99           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 195.98/32.99                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 195.98/32.99               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 195.98/32.99               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 195.98/32.99           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 195.98/32.99             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.98/32.99               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.98/32.99           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.98/32.99               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 195.98/32.99           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 195.98/32.99           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 195.98/32.99               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.98/32.99               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.98/32.99               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 195.98/32.99         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 195.98/32.99           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.98/32.99           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 195.98/32.99               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 195.98/32.99             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 195.98/32.99         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 195.98/32.99             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.98/32.99           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 195.98/32.99               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 195.98/32.99             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/32.99         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 195.98/32.99             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.98/32.99           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 195.98/32.99               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 195.98/32.99             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/32.99         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 195.98/32.99             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.98/32.99           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 195.98/32.99               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 195.98/32.99             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/32.99         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 195.98/32.99             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.98/32.99           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 195.98/32.99               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 195.98/32.99             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 195.98/32.99    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 195.98/32.99         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 195.98/32.99    (7)  op(e1, e2) = all_52_6
% 195.98/32.99    (8)   ~ (all_52_14 = e0)
% 195.98/32.99    (9)  op(e0, e0) = all_14_2
% 195.98/32.99    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 195.98/32.99          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 195.98/32.99    (11)   ~ (all_52_7 = e2)
% 195.98/32.99    (12)   ~ (all_14_2 = e1)
% 195.98/32.99    (13)  all_54_6 = all_52_9
% 195.98/32.99    (14)   ~ (all_52_6 = all_52_7)
% 195.98/32.99    (15)  op(e1, e2) = e3
% 195.98/32.99    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 195.98/32.99          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 195.98/32.99    (17)   ~ (all_52_2 = e0)
% 195.98/32.99    (18)   ~ (all_4_2 = e0)
% 195.98/32.99    (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 195.98/32.99          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 195.98/32.99    (20)   ~ (all_52_13 = e2)
% 195.98/32.99    (21)   ~ (e3 = e2)
% 195.98/32.99    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 195.98/32.99            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 195.98/32.99    (23)  op(e2, e2) = all_4_2
% 195.98/32.99    (24)   ~ (all_52_9 = e0)
% 195.98/32.99    (25)   ~ (all_38_0 = e3)
% 195.98/32.99    (26)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 195.98/32.99          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 195.98/32.99    (27)  all_54_13 = all_52_7
% 195.98/32.99    (28)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 195.98/32.99          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 195.98/32.99            e1)
% 195.98/32.99    (29)  all_56_12 = e3
% 195.98/32.99    (30)  op(e0, e3) = all_52_3
% 195.98/32.99    (31)  all_56_14 = e2
% 195.98/32.99    (32)  op(e2, e0) = all_52_13
% 195.98/32.99    (33)  op(e1, e0) = all_52_14
% 195.98/32.99    (34)   ~ (all_52_12 = e2)
% 195.98/32.99    (35)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 195.98/32.99          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 195.98/32.99    (36)   ~ (all_52_8 = all_52_9)
% 195.98/32.99    (37)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 195.98/32.99              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 195.98/32.99            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 195.98/32.99            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 195.98/32.99            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 195.98/32.99            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.98/32.99            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 195.98/32.99            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 195.98/32.99            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 195.98/32.99            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.98/32.99            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 195.98/32.99            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.98/32.99            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.99            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/32.99            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 195.98/32.99            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 195.98/32.99            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 195.98/32.99            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 195.98/32.99            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/32.99            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.98/32.99            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 195.98/32.99            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.99            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.98/32.99            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 195.98/32.99            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.99            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.98/32.99            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.98/32.99            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 195.98/32.99            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.99            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 195.98/32.99            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.98/32.99            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.98/32.99            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 195.98/32.99            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 195.98/32.99            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/32.99            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.98/32.99            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.99            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.98/32.99            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.98/32.99            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/32.99            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.98/32.99            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 195.98/32.99            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.99            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 195.98/32.99            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 195.98/32.99            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/32.99            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.98/32.99            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 195.98/32.99              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 195.98/32.99            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 195.98/32.99            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 195.98/32.99              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.98/32.99            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 195.98/32.99            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 195.98/32.99                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.98/32.99                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/32.99                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.98/32.99                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 195.98/32.99                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 195.98/32.99                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.98/32.99                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 195.98/32.99              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.98/32.99                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 195.98/32.99                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/32.99                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 195.98/32.99                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 195.98/32.99                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 195.98/32.99                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/32.99                $i(all_57_7))))
% 195.98/32.99    (38)   ~ (all_52_9 = e2)
% 195.98/32.99    (39)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 195.98/32.99    (40)   ~ (all_52_12 = e0)
% 195.98/32.99    (41)  op(e1, e3) = e1
% 195.98/32.99    (42)  op(e0, e1) = all_52_11
% 195.98/32.99    (43)  all_56_7 = e3
% 195.98/32.99    (44)   ~ (all_4_2 = e1)
% 195.98/32.99    (45)  op(e1, e1) = e0
% 195.98/32.99    (46)   ~ (all_14_2 = e3)
% 195.98/32.99    (47)   ~ (all_4_2 = e3)
% 195.98/32.99    (48)   ~ (all_52_8 = all_52_12)
% 195.98/32.99    (49)  op(e3, e3) = e2
% 195.98/32.99    (50)  all_54_15 = all_14_2
% 195.98/32.99    (51)  all_54_5 = all_4_2
% 195.98/32.99    (52)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 195.98/32.99          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 195.98/32.99    (53)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.98/32.99    (54)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 195.98/32.99              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 195.98/32.99                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 195.98/32.99                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 195.98/32.99    (55)   ~ (all_52_11 = e0)
% 195.98/32.99    (56)   ~ (all_52_3 = e0)
% 195.98/32.99    (57)  op(e3, e0) = all_52_12
% 195.98/32.99    (58)  op(e2, e2) = e2
% 195.98/32.99    (59)   ~ (all_52_7 = e3)
% 195.98/32.99    (60)  op(e2, e1) = all_38_0
% 195.98/32.99    (61)  op(e2, e1) = all_52_9
% 195.98/32.99    (62)  op(e0, e0) = e0
% 195.98/32.99    (63)   ~ (all_52_13 = e0)
% 195.98/32.99    (64)  op(e3, e1) = all_52_8
% 195.98/32.99    (65)  all_54_15 = e1 | all_54_15 = e0
% 195.98/32.99    (66)  op(e0, e2) = all_52_7
% 195.98/32.99    (67)   ~ (e2 = e0)
% 195.98/32.99    (68)  op(e2, e3) = all_52_1
% 195.98/32.99    (69)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 195.98/32.99    (70)   ~ (e3 = e0)
% 195.98/32.99    (71)   ~ (all_52_3 = all_52_11)
% 195.98/32.99    (72)   ~ (all_52_9 = all_52_11)
% 195.98/32.99    (73)  all_56_13 = e1
% 195.98/32.99  
% 195.98/32.99  Begin of proof
% 195.98/32.99  | 
% 195.98/32.99  | BETA: splitting (53) gives:
% 195.98/32.99  | 
% 195.98/32.99  | Case 1:
% 195.98/32.99  | | 
% 195.98/32.99  | |   (74)  all_54_13 = e3
% 195.98/32.99  | | 
% 195.98/32.99  | | REF_CLOSE: (27), (59), (74) are inconsistent by sub-proof #1445.
% 195.98/32.99  | | 
% 195.98/32.99  | Case 2:
% 195.98/32.99  | | 
% 195.98/32.99  | |   (75)   ~ (all_54_13 = e3)
% 195.98/32.99  | |   (76)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 195.98/32.99  | | 
% 195.98/32.99  | | BETA: splitting (76) gives:
% 195.98/32.99  | | 
% 195.98/32.99  | | Case 1:
% 195.98/32.99  | | | 
% 195.98/32.99  | | |   (77)  all_54_13 = e2
% 195.98/32.99  | | | 
% 195.98/32.99  | | | REF_CLOSE: (11), (27), (77) are inconsistent by sub-proof #1444.
% 195.98/32.99  | | | 
% 195.98/32.99  | | Case 2:
% 195.98/32.99  | | | 
% 195.98/32.99  | | |   (78)   ~ (all_54_13 = e2)
% 195.98/32.99  | | |   (79)  all_54_13 = e1 | all_54_13 = e0
% 195.98/32.99  | | | 
% 195.98/32.99  | | | BETA: splitting (79) gives:
% 195.98/32.99  | | | 
% 195.98/32.99  | | | Case 1:
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | |   (80)  all_54_13 = e1
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | COMBINE_EQS: (27), (80) imply:
% 195.98/32.99  | | | |   (81)  all_52_7 = e1
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | SIMP: (81) implies:
% 195.98/32.99  | | | |   (82)  all_52_7 = e1
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | REDUCE: (14), (82) imply:
% 195.98/32.99  | | | |   (83)   ~ (all_52_6 = e1)
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | REDUCE: (59), (82) imply:
% 195.98/32.99  | | | |   (84)   ~ (e3 = e1)
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | SIMP: (84) implies:
% 195.98/32.99  | | | |   (85)   ~ (e3 = e1)
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | REDUCE: (11), (82) imply:
% 195.98/32.99  | | | |   (86)   ~ (e2 = e1)
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | SIMP: (86) implies:
% 195.98/32.99  | | | |   (87)   ~ (e2 = e1)
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | REDUCE: (3), (82) imply:
% 195.98/32.99  | | | |   (88)   ~ (e1 = e0)
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | REDUCE: (66), (82) imply:
% 195.98/32.99  | | | |   (89)  op(e0, e2) = e1
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | BETA: splitting (37) gives:
% 195.98/32.99  | | | | 
% 195.98/32.99  | | | | Case 1:
% 195.98/32.99  | | | | | 
% 195.98/32.99  | | | | |   (90)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.99  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 195.98/32.99  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 195.98/32.99  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 195.98/32.99  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 195.98/32.99  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 195.98/32.99  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 195.98/32.99  | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 195.98/32.99  | | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 195.98/32.99  | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 195.98/32.99  | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 195.98/32.99  | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 195.98/32.99  | | | | |           & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.98/32.99  | | | | |           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 195.98/32.99  | | | | |           (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 195.98/32.99  | | | | |           all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 195.98/32.99  | | | | |             e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3
% 195.98/32.99  | | | | |           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2)
% 195.98/32.99  | | | | |           & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.98/32.99  | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 195.98/32.99  | | | | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/32.99  | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.98/32.99  | | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 195.98/32.99  | | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 195.98/32.99  | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.98/32.99  | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 195.98/32.99  | | | | |           = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 195.98/32.99  | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 195.98/32.99  | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 195.98/32.99  | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.98/32.99  | | | | | 
% 195.98/32.99  | | | | | BETA: splitting (90) gives:
% 195.98/32.99  | | | | | 
% 195.98/32.99  | | | | | Case 1:
% 195.98/32.99  | | | | | | 
% 195.98/32.99  | | | | | |   (91)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.99  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.98/32.99  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.98/32.99  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 195.98/32.99  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 195.98/32.99  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 195.98/32.99  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 195.98/32.99  | | | | | |         | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.99  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 195.98/32.99  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 195.98/32.99  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 195.98/32.99  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 195.98/32.99  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 195.98/32.99  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 195.98/32.99  | | | | | | 
% 195.98/32.99  | | | | | | BETA: splitting (91) gives:
% 195.98/32.99  | | | | | | 
% 195.98/32.99  | | | | | | Case 1:
% 195.98/32.99  | | | | | | | 
% 195.98/32.99  | | | | | | |   (92)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 195.98/32.99  | | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 195.98/32.99  | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.98/32.99  | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 195.98/32.99  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 195.98/32.99  | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 195.98/32.99  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.98/32.99  | | | | | | |           $i(all_57_12))
% 195.98/32.99  | | | | | | | 
% 195.98/32.99  | | | | | | | REF_CLOSE: (1), (18), (22), (41), (44), (51), (68), (69), (92) are
% 195.98/32.99  | | | | | | |            inconsistent by sub-proof #779.
% 195.98/32.99  | | | | | | | 
% 195.98/32.99  | | | | | | Case 2:
% 195.98/32.99  | | | | | | | 
% 195.98/32.99  | | | | | | |   (93)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/32.99  | | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 195.98/32.99  | | | | | | |           e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.99  | | | | | | |           $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 195.98/32.99  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 195.98/32.99  | | | | | | |             e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 195.98/32.99  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 195.98/32.99  | | | | | | |           $i(all_57_14))
% 195.98/32.99  | | | | | | | 
% 195.98/32.99  | | | | | | | REF_CLOSE: (9), (12), (22), (23), (46), (47), (50), (65), (93) are
% 195.98/32.99  | | | | | | |            inconsistent by sub-proof #1314.
% 195.98/32.99  | | | | | | | 
% 195.98/32.99  | | | | | | End of split
% 195.98/32.99  | | | | | | 
% 195.98/32.99  | | | | | Case 2:
% 195.98/32.99  | | | | | | 
% 195.98/33.00  | | | | | |   (94)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.98/33.00  | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 195.98/33.00  | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/33.00  | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15
% 195.98/33.00  | | | | | |           = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3,
% 195.98/33.00  | | | | | |             e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 195.98/33.00  | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 195.98/33.00  | | | | | |         | (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/33.00  | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 195.98/33.00  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 195.98/33.00  | | | | | |           & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 195.98/33.00  | | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 195.98/33.00  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 195.98/33.00  | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 195.98/33.00  | | | | | |           e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 195.98/33.00  | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 195.98/33.00  | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 195.98/33.00  | | | | | |           $i(all_57_10))
% 195.98/33.00  | | | | | | 
% 195.98/33.00  | | | | | | BETA: splitting (94) gives:
% 195.98/33.00  | | | | | | 
% 195.98/33.00  | | | | | | Case 1:
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | |   (95)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 195.98/33.00  | | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 195.98/33.00  | | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/33.00  | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 195.98/33.00  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 195.98/33.00  | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 195.98/33.00  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.98/33.00  | | | | | | |           $i(all_57_10))
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | | REF_CLOSE: (22), (49), (95) are inconsistent by sub-proof #798.
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | Case 2:
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | |   (96)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 195.98/33.00  | | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 195.98/33.00  | | | | | | |           all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.98/33.00  | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 195.98/33.00  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 195.98/33.00  | | | | | | |             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 195.98/33.00  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 195.98/33.00  | | | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 195.98/33.00  | | | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 195.98/33.00  | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 195.98/33.00  | | | | | | |             e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | | REF_CLOSE: (7), (22), (58), (83), (87), (96) are inconsistent by
% 195.98/33.00  | | | | | | |            sub-proof #1782.
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | End of split
% 195.98/33.00  | | | | | | 
% 195.98/33.00  | | | | | End of split
% 195.98/33.00  | | | | | 
% 195.98/33.00  | | | | Case 2:
% 195.98/33.00  | | | | | 
% 195.98/33.00  | | | | |   (97)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/33.00  | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 195.98/33.00  | | | | |           & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 195.98/33.00  | | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 195.98/33.00  | | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 195.98/33.00  | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 195.98/33.00  | | | | |           = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 195.98/33.00  | | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 195.98/33.00  | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 195.98/33.00  | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.98/33.00  | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.98/33.00  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 195.98/33.00  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 195.98/33.00  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 195.98/33.00  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 195.98/33.00  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.98/33.00  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 195.98/33.00  | | | | |           & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 = e0)
% 195.98/33.00  | | | | |           & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 195.98/33.00  | | | | |           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 195.98/33.00  | | | | |         | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 195.98/33.00  | | | | |           (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/33.00  | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.98/33.00  | | | | |           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 195.98/33.00  | | | | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.98/33.00  | | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 195.98/33.00  | | | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 195.98/33.00  | | | | |           & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0)
% 195.98/33.00  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 195.98/33.00  | | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14))
% 195.98/33.00  | | | | |         | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.98/33.00  | | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 195.98/33.00  | | | | |                 e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 195.98/33.00  | | | | |                 e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 195.98/33.00  | | | | |               = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 195.98/33.00  | | | | |                 e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.98/33.00  | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.98/33.00  | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 195.98/33.00  | | | | |               & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.98/33.00  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.98/33.00  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.98/33.00  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.98/33.00  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/33.00  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 195.98/33.00  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.98/33.00  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.98/33.00  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 195.98/33.00  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/33.00  | | | | |               $i(all_57_7))))
% 195.98/33.00  | | | | | 
% 195.98/33.00  | | | | | BETA: splitting (97) gives:
% 195.98/33.00  | | | | | 
% 195.98/33.00  | | | | | Case 1:
% 195.98/33.00  | | | | | | 
% 195.98/33.00  | | | | | |   (98)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/33.00  | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 195.98/33.00  | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.98/33.00  | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 & all_57_10
% 195.98/33.00  | | | | | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3,
% 195.98/33.00  | | | | | |             e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 195.98/33.00  | | | | | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.98/33.00  | | | | | |           $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 195.98/33.00  | | | | | |           (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 195.98/33.00  | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 195.98/33.00  | | | | | |           op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 195.98/33.00  | | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 195.98/33.00  | | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 195.98/33.00  | | | | | |           e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.98/33.00  | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.98/33.00  | | | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1)
% 195.98/33.00  | | | | | |           & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 195.98/33.00  | | | | | |           e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 195.98/33.00  | | | | | |           $i(all_57_13))
% 195.98/33.00  | | | | | | 
% 195.98/33.00  | | | | | | BETA: splitting (98) gives:
% 195.98/33.00  | | | | | | 
% 195.98/33.00  | | | | | | Case 1:
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | |   (99)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/33.00  | | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 195.98/33.00  | | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.98/33.00  | | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 195.98/33.00  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 195.98/33.00  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 195.98/33.00  | | | | | | |             e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 195.98/33.00  | | | | | | |           $i(all_57_12))
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | | REF_CLOSE: (22), (49), (62), (87), (88), (99) are inconsistent by
% 195.98/33.00  | | | | | | |            sub-proof #791.
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | Case 2:
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | |   (100)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 195.98/33.00  | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1)
% 195.98/33.00  | | | | | | |            = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.98/33.00  | | | | | | |            $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 195.98/33.00  | | | | | | |            all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 195.98/33.00  | | | | | | |              e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/33.00  | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.98/33.00  | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.98/33.00  | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 195.98/33.00  | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/33.00  | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/33.00  | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | | BETA: splitting (100) gives:
% 195.98/33.00  | | | | | | | 
% 195.98/33.00  | | | | | | | Case 1:
% 195.98/33.00  | | | | | | | | 
% 195.98/33.00  | | | | | | | |   (101)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) & 
% 195.98/33.00  | | | | | | | |          ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 195.98/33.00  | | | | | | | |            e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 195.98/33.00  | | | | | | | |          $i(all_57_8) & $i(all_57_12)
% 195.98/33.00  | | | | | | | | 
% 195.98/33.00  | | | | | | | | ALPHA: (101) implies:
% 195.98/33.00  | | | | | | | |   (102)  op(e0, e0) = e1
% 195.98/33.00  | | | | | | | | 
% 195.98/33.00  | | | | | | | | REF_CLOSE: (22), (62), (88), (102) are inconsistent by sub-proof
% 195.98/33.00  | | | | | | | |            #1943.
% 195.98/33.00  | | | | | | | | 
% 195.98/33.00  | | | | | | | Case 2:
% 195.98/33.00  | | | | | | | | 
% 195.98/33.00  | | | | | | | |   (103)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &
% 195.98/33.00  | | | | | | | |             ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 195.98/33.00  | | | | | | | |              e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 195.98/33.00  | | | | | | | |            & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 195.98/33.00  | | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 195.98/33.00  | | | | | | | |              = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 195.98/33.00  | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/33.00  | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 195.98/33.00  | | | | | | | | 
% 195.98/33.00  | | | | | | | | BETA: splitting (103) gives:
% 195.98/33.00  | | | | | | | | 
% 195.98/33.00  | | | | | | | | Case 1:
% 195.98/33.00  | | | | | | | | | 
% 195.98/33.00  | | | | | | | | |   (104)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 195.98/33.00  | | | | | | | | |          &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 195.98/33.00  | | | | | | | | |          op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 195.98/33.00  | | | | | | | | |          all_57_11 & $i(all_57_10) & $i(all_57_11)
% 195.98/33.00  | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | ALPHA: (104) implies:
% 195.98/33.00  | | | | | | | | |   (105)  op(e2, e2) = e0
% 195.98/33.00  | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | REF_CLOSE: (22), (58), (67), (105) are inconsistent by
% 195.98/33.00  | | | | | | | | |            sub-proof #1939.
% 195.98/33.00  | | | | | | | | | 
% 195.98/33.00  | | | | | | | | Case 2:
% 195.98/33.00  | | | | | | | | | 
% 195.98/33.00  | | | | | | | | |   (106)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 195.98/33.00  | | | | | | | | |          &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 195.98/33.00  | | | | | | | | |          op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 195.98/33.00  | | | | | | | | |          all_57_13 & $i(all_57_10) & $i(all_57_13)
% 195.98/33.00  | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | ALPHA: (106) implies:
% 195.98/33.00  | | | | | | | | |   (107)  all_57_9 = e3
% 195.98/33.00  | | | | | | | | |   (108)   ~ (all_57_10 = e0)
% 195.98/33.00  | | | | | | | | |   (109)  op(e3, e0) = e3
% 195.98/33.00  | | | | | | | | |   (110)  op(e3, e3) = all_57_10
% 195.98/33.00  | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | BETA: splitting (5) gives:
% 195.98/33.00  | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | Case 1:
% 195.98/33.00  | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | |   (111)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.98/33.00  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.98/33.00  | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.98/33.00  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 195.98/33.00  | | | | | | | | | |              e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.98/33.00  | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.98/33.00  | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.98/33.00  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 195.98/33.00  | | | | | | | | | |              e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_0))) & ((all_57_15 = e3 & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.98/33.00  | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.98/33.00  | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.98/33.00  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.98/33.00  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.98/33.00  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 195.98/33.00  | | | | | | | | | |              e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 195.98/33.00  | | | | | | | | | |                  e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 195.98/33.00  | | | | | | | | | |                  e3) = all_57_1 & $i(all_57_1)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.98/33.00  | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.98/33.00  | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.98/33.00  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 195.98/33.00  | | | | | | | | | |              e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.98/33.00  | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | BETA: splitting (111) gives:
% 195.98/33.00  | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | Case 1:
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | |   (112)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.98/33.00  | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.98/33.00  | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.98/33.00  | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.98/33.00  | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.98/33.00  | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.98/33.00  | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/33.00  | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.98/33.00  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.98/33.00  | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.98/33.00  | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.98/33.00  | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.98/33.00  | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.98/33.00  | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.98/33.00  | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/33.00  | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.98/33.00  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.98/33.00  | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.98/33.00  | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.98/33.00  | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.98/33.00  | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.98/33.00  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/33.00  | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.98/33.00  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.98/33.00  | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.98/33.00  | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.98/33.00  | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.98/33.00  | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.98/33.00  | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.98/33.00  | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | BETA: splitting (112) gives:
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | Case 1:
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | |   (113)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.98/33.00  | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.98/33.00  | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.98/33.00  | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.98/33.00  | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.98/33.00  | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.98/33.00  | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/33.00  | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.98/33.00  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 195.98/33.00  | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 195.98/33.00  | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 195.98/33.00  | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 195.98/33.00  | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 195.98/33.00  | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.98/33.00  | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | BETA: splitting (113) gives:
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | Case 1:
% 195.98/33.00  | | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | |   (114)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 195.98/33.00  | | | | | | | | | | | | |          op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 195.98/33.00  | | | | | | | | | | | | |          e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 195.98/33.00  | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.98/33.00  | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.98/33.00  | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.98/33.00  | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.98/33.00  | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.98/33.00  | | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | | ALPHA: (114) implies:
% 195.98/33.00  | | | | | | | | | | | | |   (115)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.98/33.00  | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 195.98/33.00  | | | | | | | | | | | | |   (116)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.98/33.00  | | | | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 195.98/33.00  | | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | | REF_CLOSE: (2), (6), (13), (15), (21), (22), (23), (24),
% 195.98/33.00  | | | | | | | | | | | | |            (25), (26), (28), (30), (31), (34), (35), (36),
% 195.98/33.00  | | | | | | | | | | | | |            (38), (39), (40), (42), (43), (45), (47), (48),
% 195.98/33.00  | | | | | | | | | | | | |            (49), (52), (54), (57), (58), (60), (61), (64),
% 195.98/33.00  | | | | | | | | | | | | |            (67), (70), (71), (72), (73), (85), (87), (88),
% 195.98/33.00  | | | | | | | | | | | | |            (89), (108), (109), (110), (115), (116) are
% 195.98/33.00  | | | | | | | | | | | | |            inconsistent by sub-proof #776.
% 195.98/33.00  | | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | Case 2:
% 195.98/33.00  | | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | |   (117)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 195.98/33.00  | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 195.98/33.00  | | | | | | | | | | | | |            e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 195.98/33.00  | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.98/33.00  | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.98/33.00  | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.98/33.00  | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.98/33.00  | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.98/33.00  | | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | | ALPHA: (117) implies:
% 195.98/33.00  | | | | | | | | | | | | |   (118)  op(e2, e2) = e3
% 195.98/33.00  | | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | | REF_CLOSE: (22), (23), (47), (118) are inconsistent by
% 195.98/33.00  | | | | | | | | | | | | |            sub-proof #1975.
% 195.98/33.00  | | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | End of split
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | Case 2:
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | |   (119)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 195.98/33.00  | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 195.98/33.00  | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.98/33.00  | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.98/33.00  | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.98/33.00  | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.98/33.00  | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/33.00  | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 195.98/33.00  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 195.98/33.00  | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 195.98/33.00  | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.98/33.00  | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.98/33.00  | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 195.98/33.00  | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 195.98/33.00  | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | REF_CLOSE: (22), (45), (49), (70), (87), (119) are
% 195.98/33.00  | | | | | | | | | | | |            inconsistent by sub-proof #775.
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | End of split
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | Case 2:
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | |   (120)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.98/33.00  | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.98/33.00  | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/33.00  | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.98/33.00  | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.98/33.00  | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.98/33.00  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.98/33.00  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.98/33.00  | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.98/33.00  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.98/33.00  | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.98/33.00  | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.98/33.00  | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.98/33.00  | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.98/33.00  | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.98/33.00  | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 195.98/33.00  | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.98/33.00  | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.98/33.00  | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.98/33.00  | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.98/33.00  | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.98/33.00  | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.98/33.00  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/33.00  | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.98/33.00  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.98/33.00  | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.98/33.00  | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.98/33.00  | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.98/33.00  | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.98/33.00  | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.98/33.00  | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | BETA: splitting (120) gives:
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | Case 1:
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | |   (121)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 195.98/33.00  | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 195.98/33.00  | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/33.00  | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.98/33.00  | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.98/33.00  | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.98/33.00  | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.98/33.00  | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.98/33.00  | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 195.98/33.00  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 195.98/33.00  | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 195.98/33.00  | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 195.98/33.00  | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 195.98/33.00  | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 195.98/33.00  | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 195.98/33.00  | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | REF_CLOSE: (22), (30), (49), (56), (67), (121) are
% 195.98/33.00  | | | | | | | | | | | |            inconsistent by sub-proof #830.
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | Case 2:
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | |   (122)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 195.98/33.00  | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 195.98/33.00  | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 195.98/33.00  | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.98/33.00  | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.98/33.00  | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 195.98/33.00  | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/33.00  | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 195.98/33.00  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 195.98/33.00  | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 195.98/33.00  | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.98/33.00  | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.98/33.00  | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 195.98/33.00  | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 195.98/33.00  | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | REF_CLOSE: (7), (22), (58), (83), (87), (122) are
% 195.98/33.00  | | | | | | | | | | | |            inconsistent by sub-proof #1272.
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | End of split
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | End of split
% 195.98/33.00  | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | Case 2:
% 195.98/33.00  | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | |   (123)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.98/33.00  | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.98/33.00  | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.98/33.00  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.98/33.00  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.98/33.00  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 195.98/33.00  | | | | | | | | | |              e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 195.98/33.00  | | | | | | | | | |                  e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 195.98/33.00  | | | | | | | | | |                  e2) = all_57_4 & $i(all_57_4)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.98/33.00  | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.98/33.00  | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.98/33.00  | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.98/33.00  | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.98/33.00  | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 195.98/33.00  | | | | | | | | | |              e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 195.98/33.00  | | | | | | | | | |                  e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 195.98/33.00  | | | | | | | | | |                  e1) = all_57_7 & $i(all_57_7)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.98/33.00  | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.98/33.00  | | | | | | | | | |                op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.98/33.00  | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.98/33.00  | | | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.98/33.00  | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.98/33.00  | | | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.98/33.00  | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/33.00  | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.98/33.00  | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.98/33.00  | | | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.98/33.00  | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.98/33.00  | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.98/33.00  | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.98/33.00  | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.98/33.00  | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.98/33.00  | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | BETA: splitting (123) gives:
% 195.98/33.00  | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | Case 1:
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | |   (124)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.98/33.00  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.98/33.00  | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/33.00  | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.98/33.00  | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.98/33.00  | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.98/33.00  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.98/33.00  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.98/33.00  | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.98/33.00  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.98/33.00  | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.98/33.00  | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.98/33.00  | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.98/33.00  | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.98/33.00  | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.98/33.00  | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 195.98/33.00  | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.98/33.00  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.98/33.00  | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/33.00  | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.98/33.00  | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.98/33.00  | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.98/33.00  | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.98/33.00  | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.98/33.00  | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.98/33.00  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.98/33.00  | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.98/33.00  | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.98/33.00  | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.98/33.00  | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.98/33.00  | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.98/33.00  | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | BETA: splitting (124) gives:
% 195.98/33.00  | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | Case 1:
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | |   (125)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.98/33.00  | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.98/33.00  | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/33.00  | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.98/33.00  | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.98/33.00  | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 195.98/33.00  | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.98/33.00  | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 195.98/33.00  | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.98/33.00  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 195.98/33.00  | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 195.98/33.00  | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 195.98/33.00  | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 195.98/33.00  | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 195.98/33.00  | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 195.98/33.00  | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | BETA: splitting (125) gives:
% 195.98/33.00  | | | | | | | | | | | | 
% 195.98/33.00  | | | | | | | | | | | | Case 1:
% 195.98/33.00  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | |   (126)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 195.98/33.01  | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 195.98/33.01  | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/33.01  | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.98/33.01  | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.98/33.01  | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 195.98/33.01  | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 195.98/33.01  | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | ALPHA: (126) implies:
% 195.98/33.01  | | | | | | | | | | | | |   (127)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.98/33.01  | | | | | | | | | | | | |              = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | REF_CLOSE: (22), (49), (67), (107), (127) are inconsistent by
% 195.98/33.01  | | | | | | | | | | | | |            sub-proof #829.
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | Case 2:
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | |   (128)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 195.98/33.01  | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 195.98/33.01  | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 195.98/33.01  | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 195.98/33.01  | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 195.98/33.01  | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 195.98/33.01  | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 195.98/33.01  | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | ALPHA: (128) implies:
% 195.98/33.01  | | | | | | | | | | | | |   (129)  op(e2, e0) = e0
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | REF_CLOSE: (22), (32), (63), (129) are inconsistent by
% 195.98/33.01  | | | | | | | | | | | | |            sub-proof #1173.
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | End of split
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | Case 2:
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | |   (130)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 195.98/33.01  | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 195.98/33.01  | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 195.98/33.01  | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 195.98/33.01  | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 195.98/33.01  | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 195.98/33.01  | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 195.98/33.01  | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 195.98/33.01  | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 195.98/33.01  | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 195.98/33.01  | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 195.98/33.01  | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 195.98/33.01  | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 195.98/33.01  | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 195.98/33.01  | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 195.98/33.01  | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | REF_CLOSE: (8), (22), (33), (49), (67), (107), (130) are
% 195.98/33.01  | | | | | | | | | | | |            inconsistent by sub-proof #828.
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | End of split
% 195.98/33.01  | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | Case 2:
% 195.98/33.01  | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | |   (131)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.98/33.01  | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.98/33.01  | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.98/33.01  | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.98/33.01  | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.98/33.01  | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.98/33.01  | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.98/33.01  | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/33.01  | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.98/33.01  | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.98/33.01  | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.98/33.01  | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.98/33.01  | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.98/33.01  | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.98/33.01  | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.98/33.01  | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 195.98/33.01  | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.98/33.01  | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.98/33.01  | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.98/33.01  | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.98/33.01  | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.98/33.01  | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.98/33.01  | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.98/33.01  | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/33.01  | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.98/33.01  | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.98/33.01  | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.98/33.01  | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.98/33.01  | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.98/33.01  | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.98/33.01  | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.98/33.01  | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.98/33.01  | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | BETA: splitting (131) gives:
% 195.98/33.01  | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | Case 1:
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | |   (132)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.98/33.01  | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 195.98/33.01  | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.98/33.01  | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.98/33.01  | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.98/33.01  | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 195.98/33.01  | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 195.98/33.01  | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 195.98/33.01  | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.98/33.01  | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 195.98/33.01  | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.98/33.01  | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.98/33.01  | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.98/33.01  | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 195.98/33.01  | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 195.98/33.01  | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | BETA: splitting (132) gives:
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | Case 1:
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | |   (133)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 195.98/33.01  | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 195.98/33.01  | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 195.98/33.01  | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 195.98/33.01  | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 195.98/33.01  | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 195.98/33.01  | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 195.98/33.01  | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | ALPHA: (133) implies:
% 195.98/33.01  | | | | | | | | | | | | |   (134)  op(e3, e3) = e3
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | REF_CLOSE: (4), (10), (16), (17), (19), (21), (22), (29),
% 195.98/33.01  | | | | | | | | | | | | |            (67), (70), (85), (87), (88), (134) are
% 195.98/33.01  | | | | | | | | | | | | |            inconsistent by sub-proof #1332.
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | Case 2:
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | |   (135)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 195.98/33.01  | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 195.98/33.01  | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 195.98/33.01  | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 195.98/33.01  | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 195.98/33.01  | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 195.98/33.01  | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 195.98/33.01  | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | ALPHA: (135) implies:
% 195.98/33.01  | | | | | | | | | | | | |   (136)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 195.98/33.01  | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 195.98/33.01  | | | | | | | | | | | | |   (137)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 195.98/33.01  | | | | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | REF_CLOSE: (2), (6), (13), (15), (21), (22), (23), (24),
% 195.98/33.01  | | | | | | | | | | | | |            (25), (26), (28), (30), (31), (34), (35), (36),
% 195.98/33.01  | | | | | | | | | | | | |            (38), (39), (40), (42), (43), (45), (47), (48),
% 195.98/33.01  | | | | | | | | | | | | |            (49), (52), (54), (57), (58), (60), (61), (64),
% 195.98/33.01  | | | | | | | | | | | | |            (67), (70), (71), (72), (73), (85), (87), (88),
% 195.98/33.01  | | | | | | | | | | | | |            (89), (108), (109), (110), (136), (137) are
% 195.98/33.01  | | | | | | | | | | | | |            inconsistent by sub-proof #776.
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | End of split
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | Case 2:
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | |   (138)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.98/33.01  | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 195.98/33.01  | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.98/33.01  | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.98/33.01  | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.98/33.01  | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 195.98/33.01  | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 195.98/33.01  | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 195.98/33.01  | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.98/33.01  | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 195.98/33.01  | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.98/33.01  | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.98/33.01  | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.98/33.01  | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.98/33.01  | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.98/33.01  | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | BETA: splitting (138) gives:
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | Case 1:
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | |   (139)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 195.98/33.01  | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 195.98/33.01  | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 195.98/33.01  | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 195.98/33.01  | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 195.98/33.01  | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 195.98/33.01  | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 195.98/33.01  | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | ALPHA: (139) implies:
% 195.98/33.01  | | | | | | | | | | | | |   (140)  op(e1, e1) = e1
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | REF_CLOSE: (22), (45), (88), (140) are inconsistent by
% 195.98/33.01  | | | | | | | | | | | | |            sub-proof #1959.
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | Case 2:
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | |   (141)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 195.98/33.01  | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 195.98/33.01  | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 195.98/33.01  | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 195.98/33.01  | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 195.98/33.01  | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 195.98/33.01  | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 195.98/33.01  | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | ALPHA: (141) implies:
% 195.98/33.01  | | | | | | | | | | | | |   (142)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 195.98/33.01  | | | | | | | | | | | | |              = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | | REF_CLOSE: (22), (49), (67), (107), (142) are inconsistent by
% 195.98/33.01  | | | | | | | | | | | | |            sub-proof #829.
% 195.98/33.01  | | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | | End of split
% 195.98/33.01  | | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | | End of split
% 195.98/33.01  | | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | | End of split
% 195.98/33.01  | | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | End of split
% 195.98/33.01  | | | | | | | | | 
% 195.98/33.01  | | | | | | | | End of split
% 195.98/33.01  | | | | | | | | 
% 195.98/33.01  | | | | | | | End of split
% 195.98/33.01  | | | | | | | 
% 195.98/33.01  | | | | | | End of split
% 195.98/33.01  | | | | | | 
% 195.98/33.01  | | | | | Case 2:
% 195.98/33.01  | | | | | | 
% 195.98/33.01  | | | | | |   (143)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 195.98/33.01  | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.98/33.01  | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.98/33.01  | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 195.98/33.01  | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 = e0)
% 195.98/33.01  | | | | | |            & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 195.98/33.01  | | | | | |            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 195.98/33.01  | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 195.98/33.01  | | | | | |            (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 195.98/33.01  | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 195.98/33.01  | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 195.98/33.01  | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 195.98/33.01  | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 195.98/33.01  | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.98/33.01  | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 195.98/33.01  | | | | | |            & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 195.98/33.01  | | | | | |                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 195.98/33.01  | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 195.98/33.01  | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 195.98/33.01  | | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.98/33.01  | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.98/33.01  | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 195.98/33.01  | | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 195.98/33.01  | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 195.98/33.01  | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 195.98/33.01  | | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 195.98/33.01  | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 195.98/33.01  | | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 195.98/33.01  | | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 195.98/33.01  | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.98/33.01  | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 195.98/33.01  | | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 195.98/33.01  | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/33.01  | | | | | |                $i(all_57_7))))
% 195.98/33.01  | | | | | | 
% 195.98/33.01  | | | | | | BETA: splitting (143) gives:
% 195.98/33.01  | | | | | | 
% 195.98/33.01  | | | | | | Case 1:
% 195.98/33.01  | | | | | | | 
% 195.98/33.01  | | | | | | |   (144)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) & 
% 195.98/33.01  | | | | | | |            ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 195.98/33.01  | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 195.98/33.01  | | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 195.98/33.01  | | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 195.98/33.01  | | | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 195.98/33.01  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 195.98/33.01  | | | | | | |            & $i(all_57_14))
% 195.98/33.01  | | | | | | | 
% 195.98/33.01  | | | | | | | REF_CLOSE: (22), (49), (67), (144) are inconsistent by sub-proof
% 195.98/33.01  | | | | | | |            #819.
% 195.98/33.01  | | | | | | | 
% 195.98/33.01  | | | | | | Case 2:
% 195.98/33.01  | | | | | | | 
% 195.98/33.01  | | | | | | |   (145)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) & 
% 195.98/33.01  | | | | | | |            ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 195.98/33.01  | | | | | | |              e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/33.01  | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 195.98/33.01  | | | | | | |            all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 195.98/33.01  | | | | | | |              e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 195.98/33.01  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 195.98/33.01  | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.98/33.01  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 195.98/33.01  | | | | | | |                = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 195.98/33.01  | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 195.98/33.01  | | | | | | |                  e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 195.98/33.01  | | | | | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 195.98/33.01  | | | | | | |                  = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 195.98/33.01  | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 195.98/33.01  | | | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 195.98/33.01  | | | | | | |                  = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 195.98/33.01  | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 195.98/33.01  | | | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 195.98/33.01  | | | | | | |                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 195.98/33.01  | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.98/33.01  | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 195.98/33.01  | | | | | | |                  = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 195.98/33.01  | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 195.98/33.01  | | | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 195.98/33.01  | | | | | | |                  = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 195.98/33.01  | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 195.98/33.01  | | | | | | | 
% 195.98/33.01  | | | | | | | BETA: splitting (145) gives:
% 195.98/33.01  | | | | | | | 
% 195.98/33.01  | | | | | | | Case 1:
% 195.98/33.01  | | | | | | | | 
% 195.98/33.01  | | | | | | | |   (146)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &
% 195.98/33.01  | | | | | | | |           ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 195.98/33.01  | | | | | | | |            e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 195.98/33.01  | | | | | | | |          $i(all_57_12) & $i(all_57_13)
% 195.98/33.01  | | | | | | | | 
% 195.98/33.01  | | | | | | | | ALPHA: (146) implies:
% 195.98/33.01  | | | | | | | |   (147)  op(e2, e0) = e2
% 195.98/33.01  | | | | | | | | 
% 195.98/33.01  | | | | | | | | REF_CLOSE: (20), (22), (32), (147) are inconsistent by sub-proof
% 195.98/33.01  | | | | | | | |            #1662.
% 195.98/33.01  | | | | | | | | 
% 195.98/33.01  | | | | | | | Case 2:
% 195.98/33.01  | | | | | | | | 
% 195.98/33.01  | | | | | | | |   (148)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 195.98/33.01  | | | | | | | |            &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.98/33.01  | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.98/33.01  | | | | | | | |            e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 195.98/33.01  | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 195.98/33.01  | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/33.01  | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.98/33.01  | | | | | | | |                  e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.98/33.01  | | | | | | | |              (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.98/33.01  | | | | | | | |                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.98/33.01  | | | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.98/33.01  | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 195.98/33.01  | | | | | | | |                 ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.98/33.01  | | | | | | | |                  e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 195.98/33.01  | | | | | | | |                e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.98/33.01  | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 195.98/33.01  | | | | | | | |                op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 195.98/33.01  | | | | | | | |                  e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.98/33.01  | | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.98/33.01  | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.98/33.01  | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.98/33.01  | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.98/33.01  | | | | | | | |                  e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.98/33.01  | | | | | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/33.01  | | | | | | | |                $i(all_57_7))))
% 195.98/33.01  | | | | | | | | 
% 195.98/33.01  | | | | | | | | BETA: splitting (148) gives:
% 195.98/33.01  | | | | | | | | 
% 195.98/33.01  | | | | | | | | Case 1:
% 195.98/33.01  | | | | | | | | | 
% 195.98/33.01  | | | | | | | | |   (149)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 195.98/33.01  | | | | | | | | |          &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 195.98/33.01  | | | | | | | | |          = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 195.98/33.01  | | | | | | | | |          e1 & $i(all_57_11) & $i(all_57_14)
% 195.98/33.01  | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | ALPHA: (149) implies:
% 195.98/33.01  | | | | | | | | |   (150)   ~ (all_57_14 = e0)
% 195.98/33.01  | | | | | | | | |   (151)  op(e1, e1) = all_57_14
% 195.98/33.01  | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | REF_CLOSE: (22), (45), (150), (151) are inconsistent by
% 195.98/33.01  | | | | | | | | |            sub-proof #1636.
% 195.98/33.01  | | | | | | | | | 
% 195.98/33.01  | | | | | | | | Case 2:
% 195.98/33.01  | | | | | | | | | 
% 195.98/33.01  | | | | | | | | |   (152)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 195.98/33.01  | | | | | | | | |              e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 195.98/33.01  | | | | | | | | |              (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 195.98/33.01  | | | | | | | | |                e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.98/33.01  | | | | | | | | |            (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 195.98/33.01  | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 195.98/33.01  | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 195.98/33.01  | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 195.98/33.01  | | | | | | | | |               ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 195.98/33.01  | | | | | | | | |                e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 195.98/33.01  | | | | | | | | |              e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 195.98/33.01  | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 195.98/33.01  | | | | | | | | |              op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 195.98/33.01  | | | | | | | | |                e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 195.98/33.01  | | | | | | | | |              all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 195.98/33.01  | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 195.98/33.01  | | | | | | | | |              all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 195.98/33.01  | | | | | | | | |            (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 195.98/33.01  | | | | | | | | |                e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 195.98/33.01  | | | | | | | | |              op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 195.98/33.01  | | | | | | | | |              $i(all_57_7)))
% 195.98/33.01  | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | ALPHA: (152) implies:
% 195.98/33.01  | | | | | | | | |   (153)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2)
% 195.98/33.01  | | | | | | | | |            &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 195.98/33.01  | | | | | | | | |            op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 195.98/33.01  | | | | | | | | |          (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 195.98/33.01  | | | | | | | | |            &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 195.98/33.01  | | | | | | | | |            op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 195.98/33.01  | | | | | | | | |          (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3)
% 195.98/33.01  | | | | | | | | |            &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 195.98/33.01  | | | | | | | | |              e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 195.98/33.01  | | | | | | | | |          | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 195.98/33.01  | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 195.98/33.01  | | | | | | | | |            & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4))
% 195.98/33.01  | | | | | | | | |          | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 195.98/33.01  | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 195.98/33.01  | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 195.98/33.01  | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 & 
% 195.98/33.01  | | | | | | | | |            ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 195.98/33.01  | | | | | | | | |              e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 195.98/33.01  | | | | | | | | |            e0 & $i(all_57_7))
% 195.98/33.01  | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | BETA: splitting (153) gives:
% 195.98/33.01  | | | | | | | | | 
% 195.98/33.01  | | | | | | | | | Case 1:
% 195.98/33.01  | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | |   (154)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.08/33.01  | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.08/33.01  | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.08/33.01  | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &
% 196.08/33.01  | | | | | | | | | |             ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 196.08/33.01  | | | | | | | | | |              e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 196.08/33.01  | | | | | | | | | |            e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.08/33.01  | | | | | | | | | |            e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.08/33.01  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.08/33.01  | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 196.08/33.01  | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | | REF_CLOSE: (3), (22), (23), (30), (47), (56), (66), (154) are
% 196.08/33.01  | | | | | | | | | |            inconsistent by sub-proof #816.
% 196.08/33.01  | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | Case 2:
% 196.08/33.01  | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | |   (155)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.08/33.01  | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.08/33.01  | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.08/33.01  | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &
% 196.08/33.01  | | | | | | | | | |             ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3,
% 196.08/33.01  | | | | | | | | | |              e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.08/33.01  | | | | | | | | | |            e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.08/33.01  | | | | | | | | | |            e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.08/33.01  | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.08/33.01  | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.08/33.01  | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | | BETA: splitting (155) gives:
% 196.08/33.01  | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | | Case 1:
% 196.08/33.01  | | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | | |   (156)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.08/33.01  | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.08/33.01  | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.08/33.01  | | | | | | | | | | |          $i(all_57_4)
% 196.08/33.01  | | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | | | ALPHA: (156) implies:
% 196.08/33.01  | | | | | | | | | | |   (157)  op(e0, e2) = e0
% 196.08/33.01  | | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | | | REF_CLOSE: (3), (22), (66), (157) are inconsistent by
% 196.08/33.01  | | | | | | | | | | |            sub-proof #818.
% 196.08/33.01  | | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | | Case 2:
% 196.08/33.01  | | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | | |   (158)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.08/33.01  | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.08/33.01  | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.08/33.01  | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 196.08/33.01  | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.08/33.01  | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.08/33.01  | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.08/33.01  | | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | | | REF_CLOSE: (22), (23), (42), (45), (47), (55), (58), (67),
% 196.08/33.01  | | | | | | | | | | |            (70), (87), (153), (158) are inconsistent by
% 196.08/33.01  | | | | | | | | | | |            sub-proof #774.
% 196.08/33.01  | | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | | End of split
% 196.08/33.01  | | | | | | | | | | 
% 196.08/33.01  | | | | | | | | | End of split
% 196.08/33.01  | | | | | | | | | 
% 196.08/33.01  | | | | | | | | End of split
% 196.08/33.01  | | | | | | | | 
% 196.08/33.01  | | | | | | | End of split
% 196.08/33.01  | | | | | | | 
% 196.08/33.01  | | | | | | End of split
% 196.08/33.01  | | | | | | 
% 196.08/33.01  | | | | | End of split
% 196.08/33.01  | | | | | 
% 196.08/33.01  | | | | End of split
% 196.08/33.01  | | | | 
% 196.08/33.01  | | | Case 2:
% 196.08/33.01  | | | | 
% 196.08/33.01  | | | |   (159)  all_54_13 = e0
% 196.08/33.01  | | | | 
% 196.08/33.01  | | | | REF_CLOSE: (3), (27), (159) are inconsistent by sub-proof #1653.
% 196.08/33.01  | | | | 
% 196.08/33.01  | | | End of split
% 196.08/33.01  | | | 
% 196.08/33.01  | | End of split
% 196.08/33.01  | | 
% 196.08/33.01  | End of split
% 196.08/33.01  | 
% 196.08/33.01  End of proof
% 196.08/33.01  
% 196.08/33.01  Sub-proof #774 shows that the following formulas are inconsistent:
% 196.08/33.01  ----------------------------------------------------------------
% 196.08/33.01    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.01    (2)  op(e2, e2) = all_4_2
% 196.08/33.01    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.08/33.01             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.08/33.01           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 196.08/33.01           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.08/33.01             e1) = e0 & $i(all_57_7))
% 196.08/33.01    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.08/33.01             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.08/33.01           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.08/33.01           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.08/33.01             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.08/33.01           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.08/33.01           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.08/33.01           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 196.08/33.01           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.08/33.01           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 196.08/33.01           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.08/33.01         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.08/33.01             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.01           $i(all_57_7))
% 196.08/33.01    (5)  op(e0, e1) = all_52_11
% 196.08/33.01    (6)  op(e1, e1) = e0
% 196.08/33.01    (7)   ~ (all_4_2 = e3)
% 196.08/33.01    (8)   ~ (e2 = e1)
% 196.08/33.01    (9)   ~ (all_52_11 = e0)
% 196.08/33.01    (10)  op(e2, e2) = e2
% 196.08/33.01    (11)   ~ (e2 = e0)
% 196.08/33.01    (12)   ~ (e3 = e0)
% 196.08/33.01  
% 196.08/33.01  Begin of proof
% 196.08/33.01  | 
% 196.08/33.01  | BETA: splitting (3) gives:
% 196.08/33.01  | 
% 196.08/33.01  | Case 1:
% 196.08/33.01  | | 
% 196.08/33.01  | |   (13)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 196.08/33.01  | |           = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.08/33.01  | |         & $i(all_57_6)
% 196.08/33.01  | | 
% 196.08/33.01  | | ALPHA: (13) implies:
% 196.08/33.01  | |   (14)  op(e3, e3) = e1
% 196.08/33.01  | | 
% 196.08/33.01  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14)
% 196.08/33.01  | |            are inconsistent by sub-proof #1473.
% 196.08/33.01  | | 
% 196.08/33.01  | Case 2:
% 196.08/33.01  | | 
% 196.08/33.01  | |   (15)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 196.08/33.01  | |           = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 196.08/33.01  | |         & $i(all_57_7)
% 196.08/33.01  | | 
% 196.08/33.01  | | ALPHA: (15) implies:
% 196.08/33.01  | |   (16)  op(e2, e2) = e1
% 196.08/33.01  | | 
% 196.08/33.01  | | REF_CLOSE: (1), (8), (10), (16) are inconsistent by sub-proof #1783.
% 196.08/33.01  | | 
% 196.08/33.01  | End of split
% 196.08/33.01  | 
% 196.08/33.01  End of proof
% 196.08/33.01  
% 196.08/33.01  Sub-proof #775 shows that the following formulas are inconsistent:
% 196.08/33.01  ----------------------------------------------------------------
% 196.08/33.01    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.01    (2)  op(e1, e1) = e0
% 196.08/33.01    (3)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.08/33.01           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.08/33.01           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.08/33.01                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 196.08/33.01               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.08/33.01               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.08/33.01           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 196.08/33.01           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.08/33.01               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.01           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.08/33.01               = all_57_2 & $i(all_57_2))))
% 196.08/33.01    (4)  op(e3, e3) = e2
% 196.08/33.01    (5)   ~ (e2 = e1)
% 196.08/33.01    (6)   ~ (e3 = e0)
% 196.08/33.01  
% 196.08/33.01  Begin of proof
% 196.08/33.01  | 
% 196.08/33.01  | BETA: splitting (3) gives:
% 196.08/33.01  | 
% 196.08/33.01  | Case 1:
% 196.08/33.01  | | 
% 196.08/33.01  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.08/33.01  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.08/33.01  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.08/33.01  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 196.08/33.01  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 196.08/33.01  | |            & $i(all_57_8)))
% 196.08/33.01  | | 
% 196.08/33.01  | | ALPHA: (7) implies:
% 196.08/33.01  | |   (8)  op(e3, e3) = e1
% 196.08/33.01  | | 
% 196.08/33.01  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1934.
% 196.08/33.01  | | 
% 196.08/33.01  | Case 2:
% 196.08/33.01  | | 
% 196.08/33.01  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.08/33.01  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.08/33.01  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.08/33.01  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.08/33.01  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 196.08/33.01  | |            & $i(all_57_2)))
% 196.08/33.01  | | 
% 196.08/33.01  | | ALPHA: (9) implies:
% 196.08/33.01  | |   (10)  op(e1, e1) = e3
% 196.08/33.01  | | 
% 196.08/33.01  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1824.
% 196.08/33.01  | | 
% 196.08/33.01  | End of split
% 196.08/33.01  | 
% 196.08/33.01  End of proof
% 196.08/33.01  
% 196.08/33.01  Sub-proof #776 shows that the following formulas are inconsistent:
% 196.08/33.01  ----------------------------------------------------------------
% 196.08/33.01    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 196.08/33.01         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.08/33.01    (2)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.08/33.01         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.08/33.01    (3)  all_54_6 = all_52_9
% 196.08/33.01    (4)  op(e3, e0) = e3
% 196.08/33.01    (5)  op(e1, e2) = e3
% 196.08/33.01    (6)   ~ (all_57_10 = e0)
% 196.08/33.01    (7)   ~ (e3 = e2)
% 196.08/33.01    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.01    (9)  op(e2, e2) = all_4_2
% 196.08/33.01    (10)   ~ (all_52_9 = e0)
% 196.08/33.01    (11)   ~ (all_38_0 = e3)
% 196.08/33.01    (12)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.08/33.01          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.08/33.01    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.08/33.01          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.08/33.01            e1)
% 196.08/33.01    (14)  op(e0, e3) = all_52_3
% 196.08/33.01    (15)  all_56_14 = e2
% 196.08/33.01    (16)   ~ (all_52_12 = e2)
% 196.08/33.01    (17)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.08/33.01          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.08/33.01    (18)   ~ (all_52_8 = all_52_9)
% 196.08/33.01    (19)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.08/33.01            all_57_5 & $i(all_57_5))
% 196.08/33.02    (20)  op(e3, e3) = all_57_10
% 196.08/33.02    (21)   ~ (all_52_9 = e2)
% 196.08/33.02    (22)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 196.08/33.02    (23)   ~ (all_52_12 = e0)
% 196.08/33.02    (24)  op(e0, e1) = all_52_11
% 196.08/33.02    (25)  all_56_7 = e3
% 196.08/33.02    (26)  op(e0, e2) = e1
% 196.08/33.02    (27)  op(e1, e1) = e0
% 196.08/33.02    (28)   ~ (all_4_2 = e3)
% 196.08/33.02    (29)   ~ (all_52_8 = all_52_12)
% 196.08/33.02    (30)  op(e3, e3) = e2
% 196.08/33.02    (31)   ~ (e1 = e0)
% 196.08/33.02    (32)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.08/33.02            all_57_4 & $i(all_57_4))
% 196.08/33.02    (33)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.08/33.02          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.08/33.02    (34)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.08/33.02              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.08/33.02                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.08/33.02                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.08/33.02    (35)   ~ (e2 = e1)
% 196.08/33.02    (36)  op(e3, e0) = all_52_12
% 196.08/33.02    (37)  op(e2, e2) = e2
% 196.08/33.02    (38)  op(e2, e1) = all_38_0
% 196.08/33.02    (39)  op(e2, e1) = all_52_9
% 196.08/33.02    (40)  op(e3, e1) = all_52_8
% 196.08/33.02    (41)   ~ (e3 = e1)
% 196.08/33.02    (42)   ~ (e2 = e0)
% 196.08/33.02    (43)   ~ (e3 = e0)
% 196.08/33.02    (44)   ~ (all_52_3 = all_52_11)
% 196.08/33.02    (45)   ~ (all_52_9 = all_52_11)
% 196.08/33.02    (46)  all_56_13 = e1
% 196.08/33.02  
% 196.08/33.02  Begin of proof
% 196.08/33.02  | 
% 196.08/33.02  | BETA: splitting (32) gives:
% 196.08/33.02  | 
% 196.08/33.02  | Case 1:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (47)  all_57_14 = e2 & op(e1, e1) = e2
% 196.08/33.02  | | 
% 196.08/33.02  | | ALPHA: (47) implies:
% 196.08/33.02  | |   (48)  op(e1, e1) = e2
% 196.08/33.02  | | 
% 196.08/33.02  | | REF_CLOSE: (8), (27), (42), (48) are inconsistent by sub-proof #1821.
% 196.08/33.02  | | 
% 196.08/33.02  | Case 2:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (49)   ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)
% 196.08/33.02  | | 
% 196.08/33.02  | | ALPHA: (49) implies:
% 196.08/33.02  | |   (50)   ~ (all_57_4 = e1)
% 196.08/33.02  | |   (51)  op(e1, e2) = all_57_4
% 196.08/33.02  | | 
% 196.08/33.02  | | BETA: splitting (19) gives:
% 196.08/33.02  | | 
% 196.08/33.02  | | Case 1:
% 196.08/33.02  | | | 
% 196.08/33.02  | | |   (52)  all_57_15 = e2 & op(e0, e0) = e2
% 196.08/33.02  | | | 
% 196.08/33.02  | | | ALPHA: (52) implies:
% 196.08/33.02  | | |   (53)  op(e0, e0) = e2
% 196.08/33.02  | | | 
% 196.08/33.02  | | | REF_CLOSE: (1), (7), (8), (13), (14), (15), (24), (31), (34), (35), (41),
% 196.08/33.02  | | |            (42), (43), (44), (46), (53) are inconsistent by sub-proof
% 196.08/33.02  | | |            #1229.
% 196.08/33.02  | | | 
% 196.08/33.02  | | Case 2:
% 196.08/33.02  | | | 
% 196.08/33.02  | | |   (54)   ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)
% 196.08/33.02  | | | 
% 196.08/33.02  | | | ALPHA: (54) implies:
% 196.08/33.02  | | |   (55)   ~ (all_57_5 = e0)
% 196.08/33.02  | | |   (56)  op(e0, e2) = all_57_5
% 196.08/33.02  | | | 
% 196.08/33.02  | | | GROUND_INST: instantiating (8) with e1, all_57_5, e2, e0, simplifying with
% 196.08/33.02  | | |              (26), (56) gives:
% 196.08/33.02  | | |   (57)  all_57_5 = e1
% 196.08/33.02  | | | 
% 196.08/33.02  | | | GROUND_INST: instantiating (8) with e3, all_57_4, e2, e1, simplifying with
% 196.08/33.02  | | |              (5), (51) gives:
% 196.08/33.02  | | |   (58)  all_57_4 = e3
% 196.08/33.02  | | | 
% 196.08/33.02  | | | GROUND_INST: instantiating (8) with all_52_9, all_38_0, e1, e2,
% 196.08/33.02  | | |              simplifying with (38), (39) gives:
% 196.08/33.02  | | |   (59)  all_52_9 = all_38_0
% 196.08/33.02  | | | 
% 196.08/33.02  | | | GROUND_INST: instantiating (8) with all_52_12, e3, e0, e3, simplifying
% 196.08/33.02  | | |              with (4), (36) gives:
% 196.08/33.02  | | |   (60)  all_52_12 = e3
% 196.08/33.02  | | | 
% 196.08/33.02  | | | GROUND_INST: instantiating (8) with e2, all_57_10, e3, e3, simplifying
% 196.08/33.02  | | |              with (20), (30) gives:
% 196.08/33.02  | | |   (61)  all_57_10 = e2
% 196.08/33.02  | | | 
% 196.08/33.02  | | | COMBINE_EQS: (3), (59) imply:
% 196.08/33.02  | | |   (62)  all_54_6 = all_38_0
% 196.08/33.02  | | | 
% 196.08/33.02  | | | REDUCE: (18), (59) imply:
% 196.08/33.02  | | |   (63)   ~ (all_52_8 = all_38_0)
% 196.08/33.02  | | | 
% 196.08/33.02  | | | REDUCE: (29), (60) imply:
% 196.08/33.02  | | |   (64)   ~ (all_52_8 = e3)
% 196.08/33.02  | | | 
% 196.08/33.02  | | | REDUCE: (21), (59) imply:
% 196.08/33.02  | | |   (65)   ~ (all_38_0 = e2)
% 196.08/33.02  | | | 
% 196.08/33.02  | | | REDUCE: (10), (59) imply:
% 196.08/33.02  | | |   (66)   ~ (all_38_0 = e0)
% 196.08/33.02  | | | 
% 196.08/33.02  | | | BETA: splitting (22) gives:
% 196.08/33.02  | | | 
% 196.08/33.02  | | | Case 1:
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | |   (67)  all_54_6 = e3
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | COMBINE_EQS: (62), (67) imply:
% 196.08/33.02  | | | |   (68)  all_38_0 = e3
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | REDUCE: (11), (68) imply:
% 196.08/33.02  | | | |   (69)  $false
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | CLOSE: (69) is inconsistent.
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | Case 2:
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | |   (70)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | BETA: splitting (33) gives:
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | Case 1:
% 196.08/33.02  | | | | | 
% 196.08/33.02  | | | | |   (71)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2,
% 196.08/33.02  | | | | |             e1) = e3)
% 196.08/33.02  | | | | | 
% 196.08/33.02  | | | | | BETA: splitting (71) gives:
% 196.08/33.02  | | | | | 
% 196.08/33.02  | | | | | Case 1:
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | |   (72)  all_56_4 = e3 & op(e3, e1) = e3
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | ALPHA: (72) implies:
% 196.08/33.02  | | | | | |   (73)  op(e3, e1) = e3
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | REF_CLOSE: (8), (40), (64), (73) are inconsistent by sub-proof
% 196.08/33.02  | | | | | |            #1759.
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | Case 2:
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | |   (74)  all_56_5 = e3 & op(e2, e1) = e3
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | ALPHA: (74) implies:
% 196.08/33.02  | | | | | |   (75)  all_56_5 = e3
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | BETA: splitting (70) gives:
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | Case 1:
% 196.08/33.02  | | | | | | | 
% 196.08/33.02  | | | | | | |   (76)  all_54_6 = e2
% 196.08/33.02  | | | | | | | 
% 196.08/33.02  | | | | | | | COMBINE_EQS: (62), (76) imply:
% 196.08/33.02  | | | | | | |   (77)  all_38_0 = e2
% 196.08/33.02  | | | | | | | 
% 196.08/33.02  | | | | | | | SIMP: (77) implies:
% 196.08/33.02  | | | | | | |   (78)  all_38_0 = e2
% 196.08/33.02  | | | | | | | 
% 196.08/33.02  | | | | | | | REDUCE: (65), (78) imply:
% 196.08/33.02  | | | | | | |   (79)  $false
% 196.08/33.02  | | | | | | | 
% 196.08/33.02  | | | | | | | CLOSE: (79) is inconsistent.
% 196.08/33.02  | | | | | | | 
% 196.08/33.02  | | | | | | Case 2:
% 196.08/33.02  | | | | | | | 
% 196.08/33.02  | | | | | | |   (80)  all_54_6 = e1 | all_54_6 = e0
% 196.08/33.02  | | | | | | | 
% 196.08/33.02  | | | | | | | REF_CLOSE: (3), (8), (10), (12), (24), (27), (31), (40), (41),
% 196.08/33.02  | | | | | | |            (45), (62), (63), (66), (75), (80) are inconsistent by
% 196.08/33.02  | | | | | | |            sub-proof #777.
% 196.08/33.02  | | | | | | | 
% 196.08/33.02  | | | | | | End of split
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | End of split
% 196.08/33.02  | | | | | 
% 196.08/33.02  | | | | Case 2:
% 196.08/33.02  | | | | | 
% 196.08/33.02  | | | | |   (81)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0,
% 196.08/33.02  | | | | |             e1) = e3)
% 196.08/33.02  | | | | | 
% 196.08/33.02  | | | | | BETA: splitting (81) gives:
% 196.08/33.02  | | | | | 
% 196.08/33.02  | | | | | Case 1:
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | |   (82)  all_56_8 = e3 & op(e1, e1) = e3
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | ALPHA: (82) implies:
% 196.08/33.02  | | | | | |   (83)  op(e1, e1) = e3
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | REF_CLOSE: (8), (27), (43), (83) are inconsistent by sub-proof
% 196.08/33.02  | | | | | |            #1824.
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | Case 2:
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | |   (84)  all_56_14 = e3 & op(e0, e1) = e3
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | ALPHA: (84) implies:
% 196.08/33.02  | | | | | |   (85)  all_56_14 = e3
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | COMBINE_EQS: (15), (85) imply:
% 196.08/33.02  | | | | | |   (86)  e3 = e2
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | SIMP: (86) implies:
% 196.08/33.02  | | | | | |   (87)  e3 = e2
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | COMBINE_EQS: (25), (87) imply:
% 196.08/33.02  | | | | | |   (88)  all_56_7 = e2
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | | REF_CLOSE: (2), (7), (8), (9), (17), (28), (31), (37), (41), (42),
% 196.08/33.02  | | | | | |            (43), (46), (88) are inconsistent by sub-proof #1863.
% 196.08/33.02  | | | | | | 
% 196.08/33.02  | | | | | End of split
% 196.08/33.02  | | | | | 
% 196.08/33.02  | | | | End of split
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | End of split
% 196.08/33.02  | | | 
% 196.08/33.02  | | End of split
% 196.08/33.02  | | 
% 196.08/33.02  | End of split
% 196.08/33.02  | 
% 196.08/33.02  End of proof
% 196.08/33.02  
% 196.08/33.02  Sub-proof #777 shows that the following formulas are inconsistent:
% 196.08/33.02  ----------------------------------------------------------------
% 196.08/33.02    (1)  all_54_6 = all_52_9
% 196.08/33.02    (2)   ~ (all_52_8 = all_38_0)
% 196.08/33.02    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.02    (4)   ~ (all_52_9 = e0)
% 196.08/33.02    (5)  all_56_5 = e3
% 196.08/33.02    (6)   ~ (all_38_0 = e0)
% 196.08/33.02    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.08/33.02         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.08/33.02    (8)  op(e0, e1) = all_52_11
% 196.08/33.02    (9)  op(e1, e1) = e0
% 196.08/33.02    (10)   ~ (e1 = e0)
% 196.08/33.02    (11)  all_54_6 = e1 | all_54_6 = e0
% 196.08/33.02    (12)  all_54_6 = all_38_0
% 196.08/33.02    (13)  op(e3, e1) = all_52_8
% 196.08/33.02    (14)   ~ (e3 = e1)
% 196.08/33.02    (15)   ~ (all_52_9 = all_52_11)
% 196.08/33.02  
% 196.08/33.02  Begin of proof
% 196.08/33.02  | 
% 196.08/33.02  | BETA: splitting (7) gives:
% 196.08/33.02  | 
% 196.08/33.02  | Case 1:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 196.08/33.02  | |           e1)
% 196.08/33.02  | | 
% 196.08/33.02  | | BETA: splitting (16) gives:
% 196.08/33.02  | | 
% 196.08/33.02  | | Case 1:
% 196.08/33.02  | | | 
% 196.08/33.02  | | |   (17)  all_56_4 = e1 & op(e3, e1) = e1
% 196.08/33.02  | | | 
% 196.08/33.02  | | | ALPHA: (17) implies:
% 196.08/33.02  | | |   (18)  op(e3, e1) = e1
% 196.08/33.02  | | | 
% 196.08/33.02  | | | BETA: splitting (11) gives:
% 196.08/33.02  | | | 
% 196.08/33.02  | | | Case 1:
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | |   (19)  all_54_6 = e1
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | COMBINE_EQS: (12), (19) imply:
% 196.08/33.02  | | | |   (20)  all_38_0 = e1
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | REDUCE: (2), (20) imply:
% 196.08/33.02  | | | |   (21)   ~ (all_52_8 = e1)
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | REF_CLOSE: (3), (13), (18), (21) are inconsistent by sub-proof #1880.
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | Case 2:
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | |   (22)  all_54_6 = e0
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | COMBINE_EQS: (12), (22) imply:
% 196.08/33.02  | | | |   (23)  all_38_0 = e0
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | REDUCE: (6), (23) imply:
% 196.08/33.02  | | | |   (24)  $false
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | CLOSE: (24) is inconsistent.
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | End of split
% 196.08/33.02  | | | 
% 196.08/33.02  | | Case 2:
% 196.08/33.02  | | | 
% 196.08/33.02  | | |   (25)  all_56_5 = e1 & op(e2, e1) = e1
% 196.08/33.02  | | | 
% 196.08/33.02  | | | ALPHA: (25) implies:
% 196.08/33.02  | | |   (26)  all_56_5 = e1
% 196.08/33.02  | | | 
% 196.08/33.02  | | | REF_CLOSE: (5), (14), (26) are inconsistent by sub-proof #1825.
% 196.08/33.02  | | | 
% 196.08/33.02  | | End of split
% 196.08/33.02  | | 
% 196.08/33.02  | Case 2:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (27)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 196.08/33.02  | |           e1)
% 196.08/33.02  | | 
% 196.08/33.02  | | REF_CLOSE: (1), (3), (4), (8), (9), (10), (11), (15), (27) are inconsistent
% 196.08/33.02  | |            by sub-proof #778.
% 196.08/33.02  | | 
% 196.08/33.02  | End of split
% 196.08/33.02  | 
% 196.08/33.02  End of proof
% 196.08/33.02  
% 196.08/33.02  Sub-proof #778 shows that the following formulas are inconsistent:
% 196.08/33.02  ----------------------------------------------------------------
% 196.08/33.02    (1)  all_54_6 = all_52_9
% 196.08/33.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.02    (3)   ~ (all_52_9 = e0)
% 196.08/33.02    (4)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.08/33.02    (5)  op(e0, e1) = all_52_11
% 196.08/33.02    (6)  op(e1, e1) = e0
% 196.08/33.02    (7)   ~ (e1 = e0)
% 196.08/33.02    (8)  all_54_6 = e1 | all_54_6 = e0
% 196.08/33.02    (9)   ~ (all_52_9 = all_52_11)
% 196.08/33.02  
% 196.08/33.02  Begin of proof
% 196.08/33.02  | 
% 196.08/33.02  | BETA: splitting (4) gives:
% 196.08/33.02  | 
% 196.08/33.02  | Case 1:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (10)  all_56_8 = e1 & op(e1, e1) = e1
% 196.08/33.02  | | 
% 196.08/33.02  | | ALPHA: (10) implies:
% 196.08/33.02  | |   (11)  op(e1, e1) = e1
% 196.08/33.02  | | 
% 196.08/33.02  | | REF_CLOSE: (2), (6), (7), (11) are inconsistent by sub-proof #1959.
% 196.08/33.02  | | 
% 196.08/33.02  | Case 2:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (12)  all_56_14 = e1 & op(e0, e1) = e1
% 196.08/33.02  | | 
% 196.08/33.02  | | ALPHA: (12) implies:
% 196.08/33.02  | |   (13)  op(e0, e1) = e1
% 196.08/33.02  | | 
% 196.08/33.02  | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (13) are inconsistent by sub-proof
% 196.08/33.02  | |            #1451.
% 196.08/33.02  | | 
% 196.08/33.02  | End of split
% 196.08/33.02  | 
% 196.08/33.02  End of proof
% 196.08/33.02  
% 196.08/33.02  Sub-proof #779 shows that the following formulas are inconsistent:
% 196.08/33.02  ----------------------------------------------------------------
% 196.08/33.02    (1)   ~ (all_52_1 = all_4_2)
% 196.08/33.02    (2)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.08/33.02             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.08/33.02           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.08/33.02           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.08/33.02           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.08/33.02           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.08/33.02    (3)   ~ (all_4_2 = e0)
% 196.08/33.02    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.02    (5)  op(e1, e3) = e1
% 196.08/33.02    (6)   ~ (all_4_2 = e1)
% 196.08/33.02    (7)  all_54_5 = all_4_2
% 196.08/33.02    (8)  op(e2, e3) = all_52_1
% 196.08/33.02    (9)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.08/33.02  
% 196.08/33.02  Begin of proof
% 196.08/33.02  | 
% 196.08/33.02  | BETA: splitting (2) gives:
% 196.08/33.02  | 
% 196.08/33.02  | Case 1:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (10)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 196.08/33.02  | |           = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.08/33.02  | |         all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 196.08/33.02  | | 
% 196.08/33.02  | | ALPHA: (10) implies:
% 196.08/33.02  | |   (11)   ~ (all_57_1 = e1)
% 196.08/33.02  | |   (12)  op(e1, e3) = all_57_1
% 196.08/33.02  | | 
% 196.08/33.02  | | REF_CLOSE: (4), (5), (11), (12) are inconsistent by sub-proof #1326.
% 196.08/33.02  | | 
% 196.08/33.02  | Case 2:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (13)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.08/33.02  | |           = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.08/33.02  | |         all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 196.08/33.02  | | 
% 196.08/33.02  | | ALPHA: (13) implies:
% 196.08/33.02  | |   (14)  op(e2, e3) = e2
% 196.08/33.02  | | 
% 196.08/33.02  | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (14) are inconsistent by
% 196.08/33.02  | |            sub-proof #1315.
% 196.08/33.02  | | 
% 196.08/33.02  | End of split
% 196.08/33.02  | 
% 196.08/33.02  End of proof
% 196.08/33.02  
% 196.08/33.02  Sub-proof #780 shows that the following formulas are inconsistent:
% 196.08/33.02  ----------------------------------------------------------------
% 196.08/33.02    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 196.08/33.02         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.08/33.02    (2)  op(e0, e0) = all_14_2
% 196.08/33.02    (3)   ~ (all_14_2 = e1)
% 196.08/33.02    (4)  all_54_12 = all_12_0
% 196.08/33.02    (5)   ~ (e3 = e2)
% 196.08/33.02    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.02    (7)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.08/33.02    (8)  all_56_14 = e2
% 196.08/33.02    (9)   ~ (all_12_0 = e0)
% 196.08/33.02    (10)   ~ (all_12_0 = e1)
% 196.08/33.02    (11)   ~ (all_14_2 = e3)
% 196.08/33.02    (12)  all_54_15 = all_14_2
% 196.08/33.02    (13)   ~ (all_52_7 = all_12_0)
% 196.08/33.02    (14)   ~ (e3 = e1)
% 196.08/33.02    (15)  all_54_15 = e1 | all_54_15 = e0
% 196.08/33.02    (16)  op(e0, e2) = all_52_7
% 196.08/33.02    (17)   ~ (all_12_0 = e2)
% 196.08/33.02    (18)  all_56_12 = e1 & op(e0, e3) = e1
% 196.08/33.02  
% 196.08/33.02  Begin of proof
% 196.08/33.02  | 
% 196.08/33.02  | ALPHA: (18) implies:
% 196.08/33.02  |   (19)  all_56_12 = e1
% 196.08/33.02  | 
% 196.08/33.02  | BETA: splitting (1) gives:
% 196.08/33.02  | 
% 196.08/33.02  | Case 1:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (20)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 196.08/33.02  | |           e3)
% 196.08/33.02  | | 
% 196.08/33.02  | | BETA: splitting (20) gives:
% 196.08/33.02  | | 
% 196.08/33.02  | | Case 1:
% 196.08/33.02  | | | 
% 196.08/33.02  | | |   (21)  all_56_12 = e3 & op(e0, e3) = e3
% 196.08/33.02  | | | 
% 196.08/33.02  | | | ALPHA: (21) implies:
% 196.08/33.02  | | |   (22)  all_56_12 = e3
% 196.08/33.02  | | | 
% 196.08/33.02  | | | REF_CLOSE: (14), (19), (22) are inconsistent by sub-proof #1674.
% 196.08/33.02  | | | 
% 196.08/33.02  | | Case 2:
% 196.08/33.02  | | | 
% 196.08/33.02  | | |   (23)  all_56_13 = e3 & op(e0, e2) = e3
% 196.08/33.02  | | | 
% 196.08/33.02  | | | ALPHA: (23) implies:
% 196.08/33.02  | | |   (24)  op(e0, e2) = e3
% 196.08/33.02  | | | 
% 196.08/33.02  | | | BETA: splitting (7) gives:
% 196.08/33.02  | | | 
% 196.08/33.02  | | | Case 1:
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | |   (25)  all_54_12 = e3
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | COMBINE_EQS: (4), (25) imply:
% 196.08/33.02  | | | |   (26)  all_12_0 = e3
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | SIMP: (26) implies:
% 196.08/33.02  | | | |   (27)  all_12_0 = e3
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | REDUCE: (13), (27) imply:
% 196.08/33.02  | | | |   (28)   ~ (all_52_7 = e3)
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | REF_CLOSE: (6), (16), (24), (28) are inconsistent by sub-proof #783.
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | Case 2:
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | |   (29)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | | REF_CLOSE: (4), (9), (10), (17), (29) are inconsistent by sub-proof
% 196.08/33.02  | | | |            #782.
% 196.08/33.02  | | | | 
% 196.08/33.02  | | | End of split
% 196.08/33.02  | | | 
% 196.08/33.02  | | End of split
% 196.08/33.02  | | 
% 196.08/33.02  | Case 2:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (30)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 196.08/33.02  | |           e3)
% 196.08/33.02  | | 
% 196.08/33.02  | | REF_CLOSE: (2), (3), (5), (6), (8), (11), (12), (15), (30) are inconsistent
% 196.08/33.02  | |            by sub-proof #781.
% 196.08/33.02  | | 
% 196.08/33.02  | End of split
% 196.08/33.02  | 
% 196.08/33.02  End of proof
% 196.08/33.02  
% 196.08/33.02  Sub-proof #781 shows that the following formulas are inconsistent:
% 196.08/33.02  ----------------------------------------------------------------
% 196.08/33.02    (1)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.08/33.02    (2)  op(e0, e0) = all_14_2
% 196.08/33.02    (3)   ~ (all_14_2 = e1)
% 196.08/33.02    (4)   ~ (e3 = e2)
% 196.08/33.02    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.02    (6)  all_56_14 = e2
% 196.08/33.02    (7)   ~ (all_14_2 = e3)
% 196.08/33.02    (8)  all_54_15 = all_14_2
% 196.08/33.02    (9)  all_54_15 = e1 | all_54_15 = e0
% 196.08/33.02  
% 196.08/33.02  Begin of proof
% 196.08/33.02  | 
% 196.08/33.02  | BETA: splitting (1) gives:
% 196.08/33.02  | 
% 196.08/33.02  | Case 1:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (10)  all_56_14 = e3 & op(e0, e1) = e3
% 196.08/33.02  | | 
% 196.08/33.02  | | ALPHA: (10) implies:
% 196.08/33.02  | |   (11)  all_56_14 = e3
% 196.08/33.02  | | 
% 196.08/33.02  | | REF_CLOSE: (4), (6), (11) are inconsistent by sub-proof #1495.
% 196.08/33.02  | | 
% 196.08/33.02  | Case 2:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (12)  all_56_15 = e3 & op(e0, e0) = e3
% 196.08/33.02  | | 
% 196.08/33.02  | | ALPHA: (12) implies:
% 196.08/33.02  | |   (13)  op(e0, e0) = e3
% 196.08/33.02  | | 
% 196.08/33.02  | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (13) are inconsistent by sub-proof
% 196.08/33.02  | |            #1647.
% 196.08/33.02  | | 
% 196.08/33.02  | End of split
% 196.08/33.02  | 
% 196.08/33.02  End of proof
% 196.08/33.02  
% 196.08/33.02  Sub-proof #782 shows that the following formulas are inconsistent:
% 196.08/33.02  ----------------------------------------------------------------
% 196.08/33.02    (1)  all_54_12 = all_12_0
% 196.08/33.02    (2)   ~ (all_12_0 = e0)
% 196.08/33.02    (3)   ~ (all_12_0 = e1)
% 196.08/33.02    (4)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.08/33.02    (5)   ~ (all_12_0 = e2)
% 196.08/33.02  
% 196.08/33.02  Begin of proof
% 196.08/33.02  | 
% 196.08/33.02  | BETA: splitting (4) gives:
% 196.08/33.02  | 
% 196.08/33.02  | Case 1:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (6)  all_54_12 = e2
% 196.08/33.02  | | 
% 196.08/33.02  | | COMBINE_EQS: (1), (6) imply:
% 196.08/33.02  | |   (7)  all_12_0 = e2
% 196.08/33.02  | | 
% 196.08/33.02  | | SIMP: (7) implies:
% 196.08/33.02  | |   (8)  all_12_0 = e2
% 196.08/33.02  | | 
% 196.08/33.02  | | REDUCE: (5), (8) imply:
% 196.08/33.02  | |   (9)  $false
% 196.08/33.02  | | 
% 196.08/33.02  | | CLOSE: (9) is inconsistent.
% 196.08/33.02  | | 
% 196.08/33.02  | Case 2:
% 196.08/33.02  | | 
% 196.08/33.02  | |   (10)  all_54_12 = e1 | all_54_12 = e0
% 196.08/33.02  | | 
% 196.08/33.02  | | BETA: splitting (10) gives:
% 196.08/33.02  | | 
% 196.08/33.02  | | Case 1:
% 196.08/33.02  | | | 
% 196.08/33.02  | | |   (11)  all_54_12 = e1
% 196.08/33.02  | | | 
% 196.08/33.02  | | | COMBINE_EQS: (1), (11) imply:
% 196.08/33.02  | | |   (12)  all_12_0 = e1
% 196.08/33.02  | | | 
% 196.08/33.02  | | | SIMP: (12) implies:
% 196.08/33.02  | | |   (13)  all_12_0 = e1
% 196.08/33.02  | | | 
% 196.08/33.02  | | | REDUCE: (3), (13) imply:
% 196.08/33.02  | | |   (14)  $false
% 196.08/33.02  | | | 
% 196.08/33.02  | | | CLOSE: (14) is inconsistent.
% 196.08/33.02  | | | 
% 196.08/33.02  | | Case 2:
% 196.08/33.02  | | | 
% 196.08/33.02  | | |   (15)  all_54_12 = e0
% 196.08/33.02  | | | 
% 196.08/33.02  | | | COMBINE_EQS: (1), (15) imply:
% 196.08/33.02  | | |   (16)  all_12_0 = e0
% 196.08/33.02  | | | 
% 196.08/33.02  | | | SIMP: (16) implies:
% 196.08/33.02  | | |   (17)  all_12_0 = e0
% 196.08/33.02  | | | 
% 196.08/33.02  | | | REDUCE: (2), (17) imply:
% 196.08/33.02  | | |   (18)  $false
% 196.08/33.02  | | | 
% 196.08/33.02  | | | CLOSE: (18) is inconsistent.
% 196.08/33.02  | | | 
% 196.08/33.02  | | End of split
% 196.08/33.02  | | 
% 196.08/33.02  | End of split
% 196.08/33.02  | 
% 196.08/33.02  End of proof
% 196.08/33.02  
% 196.08/33.02  Sub-proof #783 shows that the following formulas are inconsistent:
% 196.08/33.02  ----------------------------------------------------------------
% 196.08/33.02    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.02    (2)  op(e0, e2) = all_52_7
% 196.08/33.02    (3)  op(e0, e2) = e3
% 196.08/33.02    (4)   ~ (all_52_7 = e3)
% 196.08/33.02  
% 196.08/33.02  Begin of proof
% 196.08/33.02  | 
% 196.08/33.02  | GROUND_INST: instantiating (1) with all_52_7, e3, e2, e0, simplifying with
% 196.08/33.02  |              (2), (3) gives:
% 196.08/33.02  |   (5)  all_52_7 = e3
% 196.08/33.02  | 
% 196.08/33.02  | REDUCE: (4), (5) imply:
% 196.08/33.02  |   (6)  $false
% 196.08/33.02  | 
% 196.08/33.02  | CLOSE: (6) is inconsistent.
% 196.08/33.02  | 
% 196.08/33.02  End of proof
% 196.08/33.02  
% 196.08/33.02  Sub-proof #784 shows that the following formulas are inconsistent:
% 196.08/33.02  ----------------------------------------------------------------
% 196.08/33.02    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.02    (2)  op(e1, e2) = e2
% 196.08/33.02    (3)  op(e1, e2) = e1
% 196.08/33.02    (4)   ~ (e2 = e1)
% 196.08/33.02  
% 196.08/33.02  Begin of proof
% 196.08/33.02  | 
% 196.08/33.02  | GROUND_INST: instantiating (1) with e2, e1, e2, e1, simplifying with (2), (3)
% 196.08/33.02  |              gives:
% 196.08/33.02  |   (5)  e2 = e1
% 196.08/33.02  | 
% 196.08/33.02  | REDUCE: (4), (5) imply:
% 196.08/33.02  |   (6)  $false
% 196.08/33.02  | 
% 196.08/33.02  | CLOSE: (6) is inconsistent.
% 196.08/33.02  | 
% 196.08/33.02  End of proof
% 196.08/33.02  
% 196.08/33.02  Sub-proof #785 shows that the following formulas are inconsistent:
% 196.08/33.02  ----------------------------------------------------------------
% 196.08/33.02    (1)  op(e1, e1) = e1
% 196.08/33.02    (2)  op(e1, e3) = all_52_2
% 196.08/33.02    (3)  op(e1, e2) = all_52_6
% 196.08/33.02    (4)  op(e2, e1) = all_44_1
% 196.08/33.02    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.02    (6)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) = all_24_1
% 196.08/33.02           & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2, e1) =
% 196.08/33.02           all_24_1 & $i(all_24_1))
% 196.08/33.02    (7)  op(e2, e2) = e1
% 196.08/33.02    (8)  op(e2, e0) = all_52_13
% 196.08/33.02    (9)  op(e1, e0) = all_52_14
% 196.08/33.02    (10)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.08/33.02              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.08/33.02            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.08/33.02            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.08/33.02            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.08/33.02            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.08/33.02            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.08/33.02            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.08/33.02            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.08/33.02            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.08/33.02            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.08/33.02            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.08/33.02            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.08/33.02            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.08/33.02            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.08/33.02            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.08/33.02            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.08/33.02            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.08/33.02            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.08/33.02            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.08/33.02            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.08/33.02            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.08/33.02            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.08/33.02            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.08/33.02            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.08/33.02            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.08/33.02            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.08/33.02            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.08/33.02            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.08/33.02            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.08/33.02            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.08/33.02            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.08/33.02            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.08/33.02            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.08/33.02            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.08/33.02            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.08/33.02            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.08/33.02            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.08/33.02            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.08/33.02            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.08/33.02            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.08/33.02            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.08/33.02            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.08/33.02            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.08/33.02            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.08/33.02            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.08/33.02            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.08/33.02            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.08/33.02              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.08/33.02            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.08/33.02            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.08/33.02              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.08/33.02            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.08/33.02            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.08/33.02                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.08/33.02                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.08/33.02                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.08/33.02                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.08/33.02                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.08/33.02                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.08/33.02                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.08/33.02              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.08/33.02                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.08/33.02                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.08/33.02                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.08/33.02                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.08/33.02                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.08/33.02                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.02                $i(all_57_7))))
% 196.08/33.02    (11)   ~ (all_52_14 = e1)
% 196.08/33.02    (12)  op(e3, e3) = e2
% 196.08/33.02    (13)   ~ (e1 = e0)
% 196.08/33.02    (14)   ~ (all_52_1 = e2)
% 196.08/33.02    (15)   ~ (e2 = e1)
% 196.08/33.02    (16)   ~ (all_52_2 = e1)
% 196.08/33.02    (17)  op(e2, e1) = all_52_9
% 196.08/33.02    (18)  op(e0, e0) = e2
% 196.08/33.02    (19)   ~ (all_52_9 = all_52_13)
% 196.08/33.02    (20)   ~ (e3 = e1)
% 196.08/33.02    (21)   ~ (all_52_6 = e1)
% 196.08/33.02    (22)   ~ (e2 = e0)
% 196.08/33.03    (23)  op(e2, e3) = all_52_1
% 196.08/33.03    (24)  op(e2, e1) = e2
% 196.08/33.03  
% 196.08/33.03  Begin of proof
% 196.08/33.03  | 
% 196.08/33.03  | BETA: splitting (6) gives:
% 196.08/33.03  | 
% 196.08/33.03  | Case 1:
% 196.08/33.03  | | 
% 196.08/33.03  | |   (25)   ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 196.08/33.03  | |         all_24_1 & $i(all_24_0) & $i(all_24_1)
% 196.08/33.03  | | 
% 196.08/33.03  | | ALPHA: (25) implies:
% 196.08/33.03  | |   (26)  op(e2, e1) = all_24_1
% 196.08/33.03  | | 
% 196.08/33.03  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 196.08/33.03  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 196.08/33.03  | |            (26) are inconsistent by sub-proof #786.
% 196.08/33.03  | | 
% 196.08/33.03  | Case 2:
% 196.08/33.03  | | 
% 196.08/33.03  | |   (27)   ~ (all_24_1 = e0) & op(e2, e1) = all_24_1 & $i(all_24_1)
% 196.08/33.03  | | 
% 196.08/33.03  | | ALPHA: (27) implies:
% 196.08/33.03  | |   (28)  op(e2, e1) = all_24_1
% 196.08/33.03  | | 
% 196.08/33.03  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 196.08/33.03  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 196.08/33.03  | |            (28) are inconsistent by sub-proof #786.
% 196.08/33.03  | | 
% 196.08/33.03  | End of split
% 196.08/33.03  | 
% 196.08/33.03  End of proof
% 196.08/33.03  
% 196.08/33.03  Sub-proof #786 shows that the following formulas are inconsistent:
% 196.08/33.03  ----------------------------------------------------------------
% 196.08/33.03    (1)  op(e1, e1) = e1
% 196.08/33.03    (2)  op(e1, e3) = all_52_2
% 196.08/33.03    (3)  op(e1, e2) = all_52_6
% 196.08/33.03    (4)  op(e2, e1) = all_44_1
% 196.08/33.03    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.03    (6)  op(e2, e2) = e1
% 196.08/33.03    (7)  op(e2, e0) = all_52_13
% 196.08/33.03    (8)  op(e1, e0) = all_52_14
% 196.08/33.03    (9)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.08/33.03             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.08/33.03           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.08/33.03           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.08/33.03           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.08/33.03           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.08/33.03           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.08/33.03           = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 196.08/33.03           & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 196.08/33.03           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 196.08/33.03           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.08/33.03           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 196.08/33.03            ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1,
% 196.08/33.03             e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.08/33.03         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.08/33.03             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.08/33.03           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4
% 196.08/33.03           = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 196.08/33.03           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1)
% 196.08/33.03           = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.08/33.03           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2)
% 196.08/33.03           = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2
% 196.08/33.03           & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 196.08/33.03           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 196.08/33.03             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.08/33.03           $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &
% 196.08/33.03            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0,
% 196.08/33.03             e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 196.08/33.03         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.08/33.03             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.08/33.03           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7
% 196.08/33.03           = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 196.08/33.03           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 196.08/33.03           op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 196.08/33.03           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3)
% 196.08/33.03           = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 196.08/33.03           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14
% 196.08/33.03           = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 196.08/33.03           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13
% 196.08/33.03           & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 & 
% 196.08/33.03           ~ (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 196.08/33.03           = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.08/33.03           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.08/33.03           &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.08/33.03           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.08/33.03           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0)
% 196.08/33.03           &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.08/33.03           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.08/33.03           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 196.08/33.03           &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.08/33.03           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.08/33.03           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 196.08/33.03               e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.08/33.03               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.08/33.03               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.08/33.03                 e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.08/33.03               e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.08/33.03               e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.08/33.03               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 196.08/33.03               = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.08/33.03               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.08/33.03               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.08/33.03                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.08/33.03               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.08/33.03               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.08/33.03                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.03               $i(all_57_7))))
% 196.08/33.03    (10)   ~ (all_52_14 = e1)
% 196.08/33.03    (11)  op(e3, e3) = e2
% 196.08/33.03    (12)   ~ (e1 = e0)
% 196.08/33.03    (13)   ~ (all_52_1 = e2)
% 196.08/33.03    (14)   ~ (e2 = e1)
% 196.08/33.03    (15)  op(e2, e1) = all_24_1
% 196.08/33.03    (16)   ~ (all_52_2 = e1)
% 196.08/33.03    (17)  op(e2, e1) = all_52_9
% 196.08/33.03    (18)  op(e0, e0) = e2
% 196.08/33.03    (19)   ~ (all_52_9 = all_52_13)
% 196.08/33.03    (20)   ~ (e3 = e1)
% 196.08/33.03    (21)   ~ (all_52_6 = e1)
% 196.08/33.03    (22)   ~ (e2 = e0)
% 196.08/33.03    (23)  op(e2, e3) = all_52_1
% 196.08/33.03    (24)  op(e2, e1) = e2
% 196.08/33.03  
% 196.08/33.03  Begin of proof
% 196.08/33.03  | 
% 196.08/33.03  | BETA: splitting (9) gives:
% 196.08/33.03  | 
% 196.08/33.03  | Case 1:
% 196.08/33.03  | | 
% 196.08/33.03  | |   (25)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 196.08/33.03  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.08/33.03  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.08/33.03  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.08/33.03  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.08/33.03  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 196.08/33.03  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 196.08/33.03  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 196.08/33.03  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.08/33.03  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 196.08/33.03  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.08/33.03  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 196.08/33.03  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 196.08/33.03  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.08/33.03  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.08/33.03  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 196.08/33.03  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.08/33.03  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.08/33.03  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 196.08/33.03  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 196.08/33.03  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.08/33.03  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.08/33.03  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.08/33.03  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.08/33.03  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.08/33.03  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.08/33.03  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.08/33.03  | | 
% 196.08/33.03  | | BETA: splitting (25) gives:
% 196.08/33.03  | | 
% 196.08/33.03  | | Case 1:
% 196.08/33.03  | | | 
% 196.08/33.03  | | |   (26)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.08/33.03  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.08/33.03  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.08/33.03  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 196.08/33.03  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.08/33.03  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.08/33.03  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 196.08/33.03  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.08/33.03  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.08/33.03  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 196.08/33.03  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.08/33.03  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 196.08/33.03  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.08/33.03  | | | 
% 196.08/33.03  | | | BETA: splitting (26) gives:
% 196.08/33.03  | | | 
% 196.08/33.03  | | | Case 1:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | |   (27)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.08/33.03  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.08/33.03  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.08/33.03  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 196.08/33.03  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.08/33.03  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 196.08/33.03  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | REF_CLOSE: (5), (13), (23), (27) are inconsistent by sub-proof #1784.
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | Case 2:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | |   (28)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.08/33.03  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.08/33.03  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.08/33.03  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 196.08/33.03  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.08/33.03  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 196.08/33.03  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | REF_CLOSE: (2), (5), (6), (16), (20), (28) are inconsistent by sub-proof
% 196.08/33.03  | | | |            #1678.
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | End of split
% 196.08/33.03  | | | 
% 196.08/33.03  | | Case 2:
% 196.08/33.03  | | | 
% 196.08/33.03  | | |   (29)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.08/33.03  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.08/33.03  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.08/33.03  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 196.08/33.03  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.08/33.03  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.08/33.03  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.08/33.03  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.08/33.03  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 196.08/33.03  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 196.08/33.03  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 196.08/33.03  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 196.08/33.03  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 196.08/33.03  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.08/33.03  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.08/33.03  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.08/33.03  | | | 
% 196.08/33.03  | | | BETA: splitting (29) gives:
% 196.08/33.03  | | | 
% 196.08/33.03  | | | Case 1:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | |   (30)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.08/33.03  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.08/33.03  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.08/33.03  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.08/33.03  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 196.08/33.03  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.08/33.03  | | | |           $i(all_57_5) & $i(all_57_10))
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | BETA: splitting (30) gives:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | Case 1:
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | |   (31)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.08/33.03  | | | | |         (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.08/33.03  | | | | |         op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.08/33.03  | | | | |         $i(all_57_10)
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | ALPHA: (31) implies:
% 196.08/33.03  | | | | |   (32)   ~ (all_57_10 = e2)
% 196.08/33.03  | | | | |   (33)  op(e3, e3) = all_57_10
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | REF_CLOSE: (5), (11), (32), (33) are inconsistent by sub-proof #799.
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | Case 2:
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | |   (34)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.08/33.03  | | | | |         (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.08/33.03  | | | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.08/33.03  | | | | |         $i(all_57_10)
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | ALPHA: (34) implies:
% 196.08/33.03  | | | | |   (35)   ~ (all_57_10 = e2)
% 196.08/33.03  | | | | |   (36)  op(e3, e3) = all_57_10
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | GROUND_INST: instantiating (5) with e2, all_57_10, e3, e3, simplifying
% 196.08/33.03  | | | | |              with (11), (36) gives:
% 196.08/33.03  | | | | |   (37)  all_57_10 = e2
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | REDUCE: (35), (37) imply:
% 196.08/33.03  | | | | |   (38)  $false
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | CLOSE: (38) is inconsistent.
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | End of split
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | Case 2:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | |   (39)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.08/33.03  | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.08/33.03  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.08/33.03  | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 196.08/33.03  | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.08/33.03  | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 196.08/33.03  | | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.08/33.03  | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 196.08/33.03  | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.08/33.03  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | REF_CLOSE: (3), (5), (21), (24), (39) are inconsistent by sub-proof
% 196.08/33.03  | | | |            #788.
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | End of split
% 196.08/33.03  | | | 
% 196.08/33.03  | | End of split
% 196.08/33.03  | | 
% 196.08/33.03  | Case 2:
% 196.08/33.03  | | 
% 196.08/33.03  | |   (40)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 196.08/33.03  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.08/33.03  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 196.08/33.03  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 196.08/33.03  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.08/33.03  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 196.08/33.03  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 196.08/33.03  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.08/33.03  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.08/33.03  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.08/33.03  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.08/33.03  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.08/33.03  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 196.08/33.03  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 196.08/33.03  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.08/33.03  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.08/33.03  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.08/33.03  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 196.08/33.03  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.08/33.03  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.08/33.03  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 196.08/33.03  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 196.08/33.03  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 196.08/33.03  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.08/33.03  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 196.08/33.03  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.08/33.03  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 196.08/33.03  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.08/33.03  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.08/33.03  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.08/33.03  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.08/33.03  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.08/33.03  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.08/33.03  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.08/33.03  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.08/33.03  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.08/33.03  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.08/33.03  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.08/33.03  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.08/33.03  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.08/33.03  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.08/33.03  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.08/33.03  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.03  | |               $i(all_57_7))))
% 196.08/33.03  | | 
% 196.08/33.03  | | BETA: splitting (40) gives:
% 196.08/33.03  | | 
% 196.08/33.03  | | Case 1:
% 196.08/33.03  | | | 
% 196.08/33.03  | | |   (41)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.08/33.03  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.08/33.03  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.08/33.03  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 196.08/33.03  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.08/33.03  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.08/33.03  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 196.08/33.03  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.08/33.03  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 196.08/33.03  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 196.08/33.03  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.08/33.03  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.08/33.03  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 196.08/33.03  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.08/33.03  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.08/33.03  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.08/33.03  | | |           $i(all_57_13))
% 196.08/33.03  | | | 
% 196.08/33.03  | | | BETA: splitting (41) gives:
% 196.08/33.03  | | | 
% 196.08/33.03  | | | Case 1:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | |   (42)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.08/33.03  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.08/33.03  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.08/33.03  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 196.08/33.03  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 196.08/33.03  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 196.08/33.03  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | REF_CLOSE: (5), (11), (14), (18), (42) are inconsistent by sub-proof
% 196.08/33.03  | | | |            #811.
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | Case 2:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | |   (43)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.08/33.03  | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.08/33.03  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.08/33.03  | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 196.08/33.03  | | | |           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.08/33.03  | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 196.08/33.03  | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.08/33.03  | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.08/33.03  | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 196.08/33.03  | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | BETA: splitting (43) gives:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | Case 1:
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | |   (44)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.08/33.03  | | | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.08/33.03  | | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.08/33.03  | | | | |         $i(all_57_12)
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | ALPHA: (44) implies:
% 196.08/33.03  | | | | |   (45)  op(e0, e0) = e1
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | REF_CLOSE: (5), (14), (18), (45) are inconsistent by sub-proof #1780.
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | Case 2:
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | |   (46)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.08/33.03  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 196.08/33.03  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.08/33.03  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 196.08/33.03  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 196.08/33.03  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.08/33.03  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | REF_CLOSE: (1), (5), (6), (12), (46) are inconsistent by sub-proof
% 196.08/33.03  | | | | |            #1676.
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | End of split
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | End of split
% 196.08/33.03  | | | 
% 196.08/33.03  | | Case 2:
% 196.08/33.03  | | | 
% 196.08/33.03  | | |   (47)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.08/33.03  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.08/33.03  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.08/33.03  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.08/33.03  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.08/33.03  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.08/33.03  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 196.08/33.03  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.08/33.03  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 196.08/33.03  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 196.08/33.03  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.08/33.03  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 196.08/33.03  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.08/33.03  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.08/33.03  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.08/33.03  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.08/33.03  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.08/33.03  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.08/33.03  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 196.08/33.03  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.08/33.03  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.08/33.03  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.08/33.03  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 196.08/33.03  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.08/33.03  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.08/33.03  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.08/33.03  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.08/33.03  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.08/33.03  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.08/33.03  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 196.08/33.03  | | | 
% 196.08/33.03  | | | BETA: splitting (47) gives:
% 196.08/33.03  | | | 
% 196.08/33.03  | | | Case 1:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | |   (48)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.08/33.03  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.08/33.03  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.08/33.03  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 196.08/33.03  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.08/33.03  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.08/33.03  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | REF_CLOSE: (5), (11), (22), (48) are inconsistent by sub-proof #819.
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | Case 2:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | |   (49)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.08/33.03  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.08/33.03  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.08/33.03  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 196.08/33.03  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.08/33.03  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.08/33.03  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 196.08/33.03  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 196.08/33.03  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.08/33.03  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.08/33.03  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.08/33.03  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.08/33.03  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.08/33.03  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.08/33.03  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.08/33.03  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.08/33.03  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.08/33.03  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 196.08/33.03  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.08/33.03  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 196.08/33.03  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.08/33.03  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.08/33.03  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.08/33.03  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | BETA: splitting (49) gives:
% 196.08/33.03  | | | | 
% 196.08/33.03  | | | | Case 1:
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | |   (50)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.08/33.03  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.08/33.03  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.08/33.03  | | | | |         $i(all_57_13)
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | ALPHA: (50) implies:
% 196.08/33.03  | | | | |   (51)  op(e2, e0) = e2
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | REF_CLOSE: (5), (7), (17), (19), (24), (51) are inconsistent by
% 196.08/33.03  | | | | |            sub-proof #1887.
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | Case 2:
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | |   (52)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.08/33.03  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.08/33.03  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.08/33.03  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.08/33.03  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.08/33.03  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.08/33.03  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.08/33.03  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.08/33.03  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.08/33.03  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.08/33.03  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.08/33.03  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.08/33.03  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.08/33.03  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.08/33.03  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.08/33.03  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.08/33.03  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.08/33.03  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.08/33.03  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.08/33.03  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.08/33.03  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.03  | | | | |               $i(all_57_7))))
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | BETA: splitting (52) gives:
% 196.08/33.03  | | | | | 
% 196.08/33.03  | | | | | Case 1:
% 196.08/33.03  | | | | | | 
% 196.08/33.03  | | | | | |   (53)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.08/33.03  | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.08/33.03  | | | | | |         & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.08/33.03  | | | | | |         $i(all_57_14)
% 196.08/33.03  | | | | | | 
% 196.08/33.03  | | | | | | ALPHA: (53) implies:
% 196.08/33.03  | | | | | |   (54)  op(e1, e0) = e1
% 196.08/33.03  | | | | | | 
% 196.08/33.03  | | | | | | REF_CLOSE: (5), (8), (10), (54) are inconsistent by sub-proof #1958.
% 196.08/33.03  | | | | | | 
% 196.08/33.03  | | | | | Case 2:
% 196.08/33.03  | | | | | | 
% 196.08/33.03  | | | | | |   (55)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.08/33.03  | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.08/33.03  | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 196.08/33.03  | | | | | |               e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.08/33.03  | | | | | |             = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 196.08/33.03  | | | | | |               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.08/33.03  | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.08/33.03  | | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.08/33.03  | | | | | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.08/33.03  | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.08/33.03  | | | | | |             (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.08/33.03  | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.08/33.03  | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.08/33.03  | | | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.08/33.03  | | | | | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.08/33.03  | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.08/33.03  | | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.08/33.03  | | | | | |             & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.03  | | | | | |             $i(all_57_7)))
% 196.08/33.03  | | | | | | 
% 196.08/33.03  | | | | | | ALPHA: (55) implies:
% 196.08/33.03  | | | | | |   (56)  op(e0, e0) = all_57_15
% 196.08/33.04  | | | | | |   (57)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.08/33.04  | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 196.08/33.04  | | | | | |           & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.08/33.04  | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 196.08/33.04  | | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 196.08/33.04  | | | | | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.08/33.04  | | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.08/33.04  | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.08/33.04  | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.08/33.04  | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 196.08/33.04  | | | | | |           & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.08/33.04  | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 196.08/33.04  | | | | | |           & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.08/33.04  | | | | | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.08/33.04  | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.08/33.04  | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.08/33.04  | | | | | | 
% 196.08/33.04  | | | | | | GROUND_INST: instantiating (5) with e2, all_57_15, e0, e0,
% 196.08/33.04  | | | | | |              simplifying with (18), (56) gives:
% 196.08/33.04  | | | | | |   (58)  all_57_15 = e2
% 196.08/33.04  | | | | | | 
% 196.08/33.04  | | | | | | GROUND_INST: instantiating (5) with e2, all_44_1, e1, e2,
% 196.08/33.04  | | | | | |              simplifying with (4), (24) gives:
% 196.08/33.04  | | | | | |   (59)  all_44_1 = e2
% 196.08/33.04  | | | | | | 
% 196.08/33.04  | | | | | | GROUND_INST: instantiating (5) with all_24_1, all_44_1, e1, e2,
% 196.08/33.04  | | | | | |              simplifying with (4), (15) gives:
% 196.08/33.04  | | | | | |   (60)  all_44_1 = all_24_1
% 196.08/33.04  | | | | | | 
% 196.08/33.04  | | | | | | COMBINE_EQS: (59), (60) imply:
% 196.08/33.04  | | | | | |   (61)  all_24_1 = e2
% 196.08/33.04  | | | | | | 
% 196.08/33.04  | | | | | | BETA: splitting (57) gives:
% 196.08/33.04  | | | | | | 
% 196.08/33.04  | | | | | | Case 1:
% 196.08/33.04  | | | | | | | 
% 196.08/33.04  | | | | | | |   (62)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.08/33.04  | | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.08/33.04  | | | | | | |           e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.08/33.04  | | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.08/33.04  | | | | | | |             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.08/33.04  | | | | | | |             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.08/33.04  | | | | | | |           = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.08/33.04  | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.08/33.04  | | | | | | |           $i(all_57_3))
% 196.08/33.04  | | | | | | | 
% 196.08/33.04  | | | | | | | BETA: splitting (62) gives:
% 196.08/33.04  | | | | | | | 
% 196.08/33.04  | | | | | | | Case 1:
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | |   (63)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.08/33.04  | | | | | | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.08/33.04  | | | | | | | |         e3 & op(e0, e3) = e0 & $i(all_57_0)
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | | ALPHA: (63) implies:
% 196.08/33.04  | | | | | | | |   (64)  op(e2, e2) = e3
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | | REF_CLOSE: (5), (6), (20), (64) are inconsistent by sub-proof
% 196.08/33.04  | | | | | | | |            #1679.
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | Case 2:
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | |   (65)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.08/33.04  | | | | | | | |           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 196.08/33.04  | | | | | | | |             e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.08/33.04  | | | | | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 196.08/33.04  | | | | | | | |           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.08/33.04  | | | | | | | |           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | | BETA: splitting (65) gives:
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | | Case 1:
% 196.08/33.04  | | | | | | | | | 
% 196.08/33.04  | | | | | | | | |   (66)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.08/33.04  | | | | | | | | |         ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 196.08/33.04  | | | | | | | | |           e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)
% 196.08/33.04  | | | | | | | | | 
% 196.08/33.04  | | | | | | | | | ALPHA: (66) implies:
% 196.08/33.04  | | | | | | | | |   (67)  op(e1, e1) = e3
% 196.08/33.04  | | | | | | | | | 
% 196.08/33.04  | | | | | | | | | REF_CLOSE: (1), (5), (20), (67) are inconsistent by sub-proof
% 196.08/33.04  | | | | | | | | |            #1978.
% 196.08/33.04  | | | | | | | | | 
% 196.08/33.04  | | | | | | | | Case 2:
% 196.08/33.04  | | | | | | | | | 
% 196.08/33.04  | | | | | | | | |   (68)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 196.08/33.04  | | | | | | | | |         ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.08/33.04  | | | | | | | | |         all_57_3 & op(e0, e2) = e0 & $i(all_57_3)
% 196.08/33.04  | | | | | | | | | 
% 196.08/33.04  | | | | | | | | | ALPHA: (68) implies:
% 196.08/33.04  | | | | | | | | |   (69)   ~ (all_57_15 = e2)
% 196.08/33.04  | | | | | | | | | 
% 196.08/33.04  | | | | | | | | | REDUCE: (58), (69) imply:
% 196.08/33.04  | | | | | | | | |   (70)  $false
% 196.08/33.04  | | | | | | | | | 
% 196.08/33.04  | | | | | | | | | CLOSE: (70) is inconsistent.
% 196.08/33.04  | | | | | | | | | 
% 196.08/33.04  | | | | | | | | End of split
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | End of split
% 196.08/33.04  | | | | | | | 
% 196.08/33.04  | | | | | | Case 2:
% 196.08/33.04  | | | | | | | 
% 196.08/33.04  | | | | | | |   (71)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.08/33.04  | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.08/33.04  | | | | | | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.08/33.04  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.08/33.04  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.08/33.04  | | | | | | |             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.08/33.04  | | | | | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.08/33.04  | | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.04  | | | | | | |           $i(all_57_7))
% 196.08/33.04  | | | | | | | 
% 196.08/33.04  | | | | | | | BETA: splitting (71) gives:
% 196.08/33.04  | | | | | | | 
% 196.08/33.04  | | | | | | | Case 1:
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | |   (72)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.08/33.04  | | | | | | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.08/33.04  | | | | | | | |         e2 & op(e0, e2) = e0 & $i(all_57_4)
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | | ALPHA: (72) implies:
% 196.08/33.04  | | | | | | | |   (73)  op(e1, e1) = e2
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | | REF_CLOSE: (1), (5), (14), (73) are inconsistent by sub-proof
% 196.08/33.04  | | | | | | | |            #1955.
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | Case 2:
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | |   (74)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 196.08/33.04  | | | | | | | |           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.08/33.04  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 196.08/33.04  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.08/33.04  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.08/33.04  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | | REF_CLOSE: (5), (11), (14), (24), (74) are inconsistent by
% 196.08/33.04  | | | | | | | |            sub-proof #787.
% 196.08/33.04  | | | | | | | | 
% 196.08/33.04  | | | | | | | End of split
% 196.08/33.04  | | | | | | | 
% 196.08/33.04  | | | | | | End of split
% 196.08/33.04  | | | | | | 
% 196.08/33.04  | | | | | End of split
% 196.08/33.04  | | | | | 
% 196.08/33.04  | | | | End of split
% 196.08/33.04  | | | | 
% 196.08/33.04  | | | End of split
% 196.08/33.04  | | | 
% 196.08/33.04  | | End of split
% 196.08/33.04  | | 
% 196.08/33.04  | End of split
% 196.08/33.04  | 
% 196.08/33.04  End of proof
% 196.08/33.04  
% 196.08/33.04  Sub-proof #787 shows that the following formulas are inconsistent:
% 196.08/33.04  ----------------------------------------------------------------
% 196.08/33.04    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.04    (2)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.08/33.04             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.08/33.04           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 196.08/33.04           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.08/33.04             e1) = e0 & $i(all_57_7))
% 196.08/33.04    (3)  op(e3, e3) = e2
% 196.08/33.04    (4)   ~ (e2 = e1)
% 196.08/33.04    (5)  op(e2, e1) = e2
% 196.08/33.04  
% 196.08/33.04  Begin of proof
% 196.08/33.04  | 
% 196.08/33.04  | BETA: splitting (2) gives:
% 196.08/33.04  | 
% 196.08/33.04  | Case 1:
% 196.08/33.04  | | 
% 196.08/33.04  | |   (6)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.08/33.04  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.08/33.04  | |        $i(all_57_6)
% 196.08/33.04  | | 
% 196.08/33.04  | | ALPHA: (6) implies:
% 196.08/33.04  | |   (7)  op(e3, e3) = e1
% 196.08/33.04  | | 
% 196.08/33.04  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1934.
% 196.08/33.04  | | 
% 196.08/33.04  | Case 2:
% 196.08/33.04  | | 
% 196.08/33.04  | |   (8)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.08/33.04  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.04  | |        $i(all_57_7)
% 196.08/33.04  | | 
% 196.08/33.04  | | ALPHA: (8) implies:
% 196.08/33.04  | |   (9)   ~ (all_57_7 = e2)
% 196.08/33.04  | |   (10)  op(e2, e1) = all_57_7
% 196.08/33.04  | | 
% 196.08/33.04  | | REF_CLOSE: (1), (5), (9), (10) are inconsistent by sub-proof #1718.
% 196.08/33.04  | | 
% 196.08/33.04  | End of split
% 196.08/33.04  | 
% 196.08/33.04  End of proof
% 196.08/33.04  
% 196.08/33.04  Sub-proof #788 shows that the following formulas are inconsistent:
% 196.08/33.04  ----------------------------------------------------------------
% 196.08/33.04    (1)  op(e1, e2) = all_52_6
% 196.08/33.04    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.04    (3)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 196.08/33.04             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 196.08/33.04           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 196.08/33.04           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 196.08/33.04             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 196.08/33.04             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 196.08/33.04           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.08/33.04           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.08/33.04           $i(all_57_7) & $i(all_57_10))
% 196.08/33.04    (4)   ~ (all_52_6 = e1)
% 196.08/33.04    (5)  op(e2, e1) = e2
% 196.08/33.04  
% 196.08/33.04  Begin of proof
% 196.08/33.04  | 
% 196.08/33.04  | BETA: splitting (3) gives:
% 196.08/33.04  | 
% 196.08/33.04  | Case 1:
% 196.08/33.04  | | 
% 196.08/33.04  | |   (6)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 196.08/33.04  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 196.08/33.04  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 196.08/33.04  | | 
% 196.08/33.04  | | ALPHA: (6) implies:
% 196.08/33.04  | |   (7)  op(e1, e2) = e1
% 196.08/33.04  | | 
% 196.08/33.04  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1970.
% 196.08/33.04  | | 
% 196.08/33.04  | Case 2:
% 196.08/33.04  | | 
% 196.08/33.04  | |   (8)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.08/33.04  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.08/33.04  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.08/33.04  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.08/33.04  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.08/33.04  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.08/33.04  | | 
% 196.08/33.04  | | BETA: splitting (8) gives:
% 196.08/33.04  | | 
% 196.08/33.04  | | Case 1:
% 196.08/33.04  | | | 
% 196.08/33.04  | | |   (9)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.08/33.04  | | |          = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.08/33.04  | | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 196.08/33.04  | | | 
% 196.08/33.04  | | | ALPHA: (9) implies:
% 196.08/33.04  | | |   (10)  op(e1, e2) = e1
% 196.08/33.04  | | | 
% 196.08/33.04  | | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1970.
% 196.08/33.04  | | | 
% 196.08/33.04  | | Case 2:
% 196.08/33.04  | | | 
% 196.08/33.04  | | |   (11)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.08/33.04  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.08/33.04  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.08/33.04  | | |         $i(all_57_10)
% 196.08/33.04  | | | 
% 196.08/33.04  | | | ALPHA: (11) implies:
% 196.08/33.04  | | |   (12)   ~ (all_57_7 = e2)
% 196.08/33.04  | | |   (13)  op(e2, e1) = all_57_7
% 196.08/33.04  | | | 
% 196.08/33.04  | | | REF_CLOSE: (2), (5), (12), (13) are inconsistent by sub-proof #1718.
% 196.08/33.04  | | | 
% 196.08/33.04  | | End of split
% 196.08/33.04  | | 
% 196.08/33.04  | End of split
% 196.08/33.04  | 
% 196.08/33.04  End of proof
% 196.08/33.04  
% 196.08/33.04  Sub-proof #789 shows that the following formulas are inconsistent:
% 196.08/33.04  ----------------------------------------------------------------
% 196.08/33.04    (1)   ~ (all_52_7 = e0)
% 196.08/33.04    (2)  op(e1, e1) = e1
% 196.08/33.04    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.04    (4)  op(e2, e2) = e1
% 196.08/33.04    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.08/33.04             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.08/33.04           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.08/33.04           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.08/33.04             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.08/33.04           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.08/33.04           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.08/33.04           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 196.08/33.04           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.08/33.04           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 196.08/33.04           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.08/33.04         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.08/33.04             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.04           $i(all_57_7))
% 196.08/33.04    (6)  op(e0, e1) = all_52_11
% 196.08/33.04    (7)  op(e3, e3) = e2
% 196.08/33.04    (8)   ~ (e2 = e1)
% 196.08/33.04    (9)   ~ (all_52_11 = e0)
% 196.08/33.04    (10)   ~ (e3 = e1)
% 196.08/33.04    (11)  op(e0, e2) = all_52_7
% 196.08/33.04  
% 196.08/33.04  Begin of proof
% 196.08/33.04  | 
% 196.08/33.04  | BETA: splitting (5) gives:
% 196.08/33.04  | 
% 196.08/33.04  | Case 1:
% 196.08/33.04  | | 
% 196.08/33.04  | |   (12)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 196.08/33.04  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 196.08/33.04  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.08/33.04  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.08/33.04  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 196.08/33.04  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.08/33.04  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.08/33.04  | |           $i(all_57_3))
% 196.08/33.04  | | 
% 196.08/33.04  | | BETA: splitting (12) gives:
% 196.08/33.04  | | 
% 196.08/33.04  | | Case 1:
% 196.08/33.04  | | | 
% 196.08/33.04  | | |   (13)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.08/33.04  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.08/33.04  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 196.08/33.04  | | | 
% 196.08/33.04  | | | ALPHA: (13) implies:
% 196.08/33.04  | | |   (14)  op(e2, e2) = e3
% 196.08/33.04  | | | 
% 196.08/33.04  | | | REF_CLOSE: (3), (4), (10), (14) are inconsistent by sub-proof #1679.
% 196.08/33.04  | | | 
% 196.08/33.04  | | Case 2:
% 196.08/33.04  | | | 
% 196.08/33.04  | | |   (15)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.08/33.04  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.08/33.04  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.08/33.04  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.08/33.04  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.08/33.04  | | | 
% 196.08/33.04  | | | BETA: splitting (15) gives:
% 196.08/33.04  | | | 
% 196.08/33.04  | | | Case 1:
% 196.08/33.04  | | | | 
% 196.08/33.04  | | | |   (16)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.08/33.04  | | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.08/33.04  | | | |         op(e0, e3) = e0 & $i(all_57_1)
% 196.08/33.04  | | | | 
% 196.08/33.04  | | | | ALPHA: (16) implies:
% 196.08/33.05  | | | |   (17)  op(e1, e1) = e3
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | | REF_CLOSE: (2), (3), (10), (17) are inconsistent by sub-proof #1978.
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | Case 2:
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | |   (18)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.08/33.05  | | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.08/33.05  | | | |         op(e0, e2) = e0 & $i(all_57_3)
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | | ALPHA: (18) implies:
% 196.08/33.05  | | | |   (19)  op(e0, e2) = e0
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | | REF_CLOSE: (1), (3), (11), (19) are inconsistent by sub-proof #818.
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | End of split
% 196.08/33.05  | | | 
% 196.08/33.05  | | End of split
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (20)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.08/33.05  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.08/33.05  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.08/33.05  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.08/33.05  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.08/33.05  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.08/33.05  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.05  | |           $i(all_57_7))
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (3), (6), (7), (8), (9), (11), (20) are inconsistent by
% 196.08/33.05  | |            sub-proof #790.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #790 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)   ~ (all_52_7 = e0)
% 196.08/33.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (3)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.08/33.05             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.08/33.05           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 196.08/33.05           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.08/33.05             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.08/33.05           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.08/33.05           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.08/33.05    (4)  op(e0, e1) = all_52_11
% 196.08/33.05    (5)  op(e3, e3) = e2
% 196.08/33.05    (6)   ~ (e2 = e1)
% 196.08/33.05    (7)   ~ (all_52_11 = e0)
% 196.08/33.05    (8)  op(e0, e2) = all_52_7
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (3) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (9)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.08/33.05  | |          e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.08/33.05  | |        $i(all_57_4)
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (9) implies:
% 196.08/33.05  | |   (10)  op(e0, e2) = e0
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (2), (8), (10) are inconsistent by sub-proof #818.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (11)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 196.08/33.05  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.08/33.05  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.08/33.05  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 196.08/33.05  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.08/33.05  | | 
% 196.08/33.05  | | BETA: splitting (11) gives:
% 196.08/33.05  | | 
% 196.08/33.05  | | Case 1:
% 196.08/33.05  | | | 
% 196.08/33.05  | | |   (12)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.08/33.05  | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.08/33.05  | | |         op(e0, e1) = e0 & $i(all_57_6)
% 196.08/33.05  | | | 
% 196.08/33.05  | | | ALPHA: (12) implies:
% 196.08/33.05  | | |   (13)  op(e3, e3) = e1
% 196.08/33.05  | | | 
% 196.08/33.05  | | | REF_CLOSE: (2), (5), (6), (13) are inconsistent by sub-proof #1934.
% 196.08/33.05  | | | 
% 196.08/33.05  | | Case 2:
% 196.08/33.05  | | | 
% 196.08/33.05  | | |   (14)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.08/33.05  | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.08/33.05  | | |         op(e0, e1) = e0 & $i(all_57_7)
% 196.08/33.05  | | | 
% 196.08/33.05  | | | ALPHA: (14) implies:
% 196.08/33.05  | | |   (15)  op(e0, e1) = e0
% 196.08/33.05  | | | 
% 196.08/33.05  | | | REF_CLOSE: (2), (4), (7), (15) are inconsistent by sub-proof #1931.
% 196.08/33.05  | | | 
% 196.08/33.05  | | End of split
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #791 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.08/33.05             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.08/33.05           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 196.08/33.05           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.08/33.05           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 196.08/33.05           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 196.08/33.05    (3)  op(e3, e3) = e2
% 196.08/33.05    (4)   ~ (e1 = e0)
% 196.08/33.05    (5)   ~ (e2 = e1)
% 196.08/33.05    (6)  op(e0, e0) = e0
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (2) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.08/33.05  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.08/33.05  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (7) implies:
% 196.08/33.05  | |   (8)  op(e0, e0) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1943.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.08/33.05  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.08/33.05  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (9) implies:
% 196.08/33.05  | |   (10)  op(e3, e3) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1934.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #792 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (2)   ~ (all_52_9 = e2)
% 196.08/33.05    (3)   ~ (all_52_8 = e2)
% 196.08/33.05    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 196.08/33.05    (5)  op(e2, e1) = all_52_9
% 196.08/33.05    (6)  op(e3, e1) = all_52_8
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (4) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (7)  all_56_4 = e2 & op(e3, e1) = e2
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (3), (6), (7) are inconsistent by sub-proof #810.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (8)  all_56_5 = e2 & op(e2, e1) = e2
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (8) implies:
% 196.08/33.05  | |   (9)  op(e2, e1) = e2
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1942.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #793 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)   ~ (all_52_11 = e1)
% 196.08/33.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (3)  op(e1, e0) = all_52_14
% 196.08/33.05    (4)  all_54_8 = all_52_2
% 196.08/33.05    (5)   ~ (all_52_2 = all_52_14)
% 196.08/33.05    (6)  op(e0, e1) = all_52_11
% 196.08/33.05    (7)  all_54_8 = e1 | all_54_8 = e0
% 196.08/33.05    (8)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.08/33.05           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.08/33.05           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.08/33.05                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.08/33.05               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.08/33.05               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 196.08/33.05           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 196.08/33.05             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.08/33.05               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.08/33.05           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.08/33.05               = all_57_7 & $i(all_57_7))))
% 196.08/33.05    (9)   ~ (all_52_2 = e1)
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (8) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (10)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.08/33.05  | |         op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.08/33.05  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 196.08/33.05  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 196.08/33.05  | |             e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.08/33.05  | |             all_57_11 & $i(all_57_11)))
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (10) implies:
% 196.08/33.05  | |   (11)  op(e0, e1) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (2), (6), (11) are inconsistent by sub-proof #1885.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (12)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.08/33.05  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.08/33.05  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 196.08/33.05  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 196.08/33.05  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.08/33.05  | |             all_57_7 & $i(all_57_7)))
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (12) implies:
% 196.08/33.05  | |   (13)  op(e1, e0) = e0
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (13) are inconsistent by sub-proof
% 196.08/33.05  | |            #1257.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #794 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)  op(e1, e3) = all_52_2
% 196.08/33.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (3)   ~ (all_57_10 = e1)
% 196.08/33.05    (4)  op(e3, e3) = all_57_10
% 196.08/33.05    (5)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.08/33.05           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.08/33.05           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.08/33.05                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 196.08/33.05               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.08/33.05               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.08/33.05           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 196.08/33.05           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.08/33.05               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.05           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.08/33.05               = all_57_2 & $i(all_57_2))))
% 196.08/33.05    (6)   ~ (all_52_2 = e1)
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (5) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.08/33.05  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.08/33.05  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.08/33.05  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 196.08/33.05  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 196.08/33.05  | |            & $i(all_57_8)))
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (7) implies:
% 196.08/33.05  | |   (8)  op(e3, e3) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1319.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.08/33.05  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.08/33.05  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.08/33.05  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.08/33.05  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 196.08/33.05  | |            & $i(all_57_2)))
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (9) implies:
% 196.08/33.05  | |   (10)  op(e1, e3) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1974.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #795 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)  all_54_6 = all_52_9
% 196.08/33.05    (2)  all_54_6 = e1
% 196.08/33.05    (3)   ~ (all_52_9 = e1)
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | COMBINE_EQS: (1), (2) imply:
% 196.08/33.05  |   (4)  all_52_9 = e1
% 196.08/33.05  | 
% 196.08/33.05  | SIMP: (4) implies:
% 196.08/33.05  |   (5)  all_52_9 = e1
% 196.08/33.05  | 
% 196.08/33.05  | REDUCE: (3), (5) imply:
% 196.08/33.05  |   (6)  $false
% 196.08/33.05  | 
% 196.08/33.05  | CLOSE: (6) is inconsistent.
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #796 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)  all_56_6 = e2 & op(e1, e3) = e2
% 196.08/33.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (3)  op(e1, e3) = all_52_2
% 196.08/33.05    (4)   ~ (all_52_2 = e2)
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | ALPHA: (1) implies:
% 196.08/33.05  |   (5)  op(e1, e3) = e2
% 196.08/33.05  | 
% 196.08/33.05  | GROUND_INST: instantiating (2) with all_52_2, e2, e3, e1, simplifying with
% 196.08/33.05  |              (3), (5) gives:
% 196.08/33.05  |   (6)  all_52_2 = e2
% 196.08/33.05  | 
% 196.08/33.05  | REDUCE: (4), (6) imply:
% 196.08/33.05  |   (7)  $false
% 196.08/33.05  | 
% 196.08/33.05  | CLOSE: (7) is inconsistent.
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #797 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (2)  op(e2, e2) = e1
% 196.08/33.05    (3)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 196.08/33.05    (4)   ~ (all_52_1 = e2)
% 196.08/33.05    (5)   ~ (e2 = e1)
% 196.08/33.05    (6)  op(e2, e3) = all_52_1
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (3) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (7)  all_56_2 = e2 & op(e2, e3) = e2
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (7) implies:
% 196.08/33.05  | |   (8)  op(e2, e3) = e2
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1785.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (9) implies:
% 196.08/33.05  | |   (10)  op(e2, e2) = e2
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1783.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #798 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.08/33.05             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.08/33.05           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 196.08/33.05           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.08/33.05           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 196.08/33.05           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 196.08/33.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (3)  op(e3, e3) = e2
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (1) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (4)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.08/33.05  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.08/33.05  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (4) implies:
% 196.08/33.05  | |   (5)   ~ (all_57_10 = e2)
% 196.08/33.05  | |   (6)  op(e3, e3) = all_57_10
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (2), (3), (5), (6) are inconsistent by sub-proof #799.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (7)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.08/33.05  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.08/33.05  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (7) implies:
% 196.08/33.05  | |   (8)   ~ (all_57_10 = e2)
% 196.08/33.05  | |   (9)  op(e3, e3) = all_57_10
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (2), (3), (8), (9) are inconsistent by sub-proof #799.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #799 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (2)  op(e3, e3) = all_57_10
% 196.08/33.05    (3)  op(e3, e3) = e2
% 196.08/33.05    (4)   ~ (all_57_10 = e2)
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | GROUND_INST: instantiating (1) with e2, all_57_10, e3, e3, simplifying with
% 196.08/33.05  |              (2), (3) gives:
% 196.08/33.05  |   (5)  all_57_10 = e2
% 196.08/33.05  | 
% 196.08/33.05  | REDUCE: (4), (5) imply:
% 196.08/33.05  |   (6)  $false
% 196.08/33.05  | 
% 196.08/33.05  | CLOSE: (6) is inconsistent.
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #800 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (2)  op(e3, e2) = all_52_4
% 196.08/33.05    (3)  op(e3, e3) = e2
% 196.08/33.05    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 196.08/33.05    (5)   ~ (all_52_4 = e1)
% 196.08/33.05    (6)   ~ (e2 = e1)
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (4) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (7) implies:
% 196.08/33.05  | |   (8)  op(e3, e3) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1934.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (9)  all_56_1 = e1 & op(e3, e2) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (9) implies:
% 196.08/33.05  | |   (10)  op(e3, e2) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1910.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #801 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.08/33.05         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.08/33.05    (2)   ~ (e3 = e2)
% 196.08/33.05    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (4)   ~ (all_52_7 = e1)
% 196.08/33.05    (5)  op(e3, e3) = e2
% 196.08/33.05    (6)   ~ (e1 = e0)
% 196.08/33.05    (7)  all_56_2 = e1
% 196.08/33.05    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 196.08/33.05         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 196.08/33.05    (9)   ~ (e3 = e1)
% 196.08/33.05    (10)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.08/33.05    (11)  op(e0, e2) = all_52_7
% 196.08/33.05    (12)   ~ (e2 = e0)
% 196.08/33.05    (13)   ~ (e3 = e0)
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (10) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (14)  all_56_12 = e1 & op(e0, e3) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (14) implies:
% 196.08/33.05  | |   (15)  all_56_12 = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (12), (13), (15) are
% 196.08/33.05  | |            inconsistent by sub-proof #802.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (16)  all_56_13 = e1 & op(e0, e2) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (16) implies:
% 196.08/33.05  | |   (17)  op(e0, e2) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (3), (4), (11), (17) are inconsistent by sub-proof #1649.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #802 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.08/33.05         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.08/33.05    (2)   ~ (e3 = e2)
% 196.08/33.05    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (4)  all_56_12 = e1
% 196.08/33.05    (5)  op(e3, e3) = e2
% 196.08/33.05    (6)   ~ (e1 = e0)
% 196.08/33.05    (7)  all_56_2 = e1
% 196.08/33.05    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 196.08/33.05         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 196.08/33.05    (9)   ~ (e3 = e1)
% 196.08/33.05    (10)   ~ (e2 = e0)
% 196.08/33.05    (11)   ~ (e3 = e0)
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (8) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 196.08/33.05  | |           e3)
% 196.08/33.05  | | 
% 196.08/33.05  | | BETA: splitting (12) gives:
% 196.08/33.05  | | 
% 196.08/33.05  | | Case 1:
% 196.08/33.05  | | | 
% 196.08/33.05  | | |   (13)  all_56_0 = e3 & op(e3, e3) = e3
% 196.08/33.05  | | | 
% 196.08/33.05  | | | ALPHA: (13) implies:
% 196.08/33.05  | | |   (14)  op(e3, e3) = e3
% 196.08/33.05  | | | 
% 196.08/33.05  | | | REF_CLOSE: (2), (3), (5), (14) are inconsistent by sub-proof #1957.
% 196.08/33.05  | | | 
% 196.08/33.05  | | Case 2:
% 196.08/33.05  | | | 
% 196.08/33.05  | | |   (15)  all_56_2 = e3 & op(e2, e3) = e3
% 196.08/33.05  | | | 
% 196.08/33.05  | | | ALPHA: (15) implies:
% 196.08/33.05  | | |   (16)  all_56_2 = e3
% 196.08/33.05  | | | 
% 196.08/33.05  | | | REF_CLOSE: (7), (9), (16) are inconsistent by sub-proof #1859.
% 196.08/33.05  | | | 
% 196.08/33.05  | | End of split
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (17)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 196.08/33.05  | |           e3)
% 196.08/33.05  | | 
% 196.08/33.05  | | BETA: splitting (17) gives:
% 196.08/33.05  | | 
% 196.08/33.05  | | Case 1:
% 196.08/33.05  | | | 
% 196.08/33.05  | | |   (18)  all_56_6 = e3 & op(e1, e3) = e3
% 196.08/33.05  | | | 
% 196.08/33.05  | | | ALPHA: (18) implies:
% 196.08/33.05  | | |   (19)  all_56_6 = e3
% 196.08/33.05  | | | 
% 196.08/33.05  | | | BETA: splitting (1) gives:
% 196.08/33.05  | | | 
% 196.08/33.05  | | | Case 1:
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | |   (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 196.08/33.05  | | | |           = e0)
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | | REF_CLOSE: (3), (5), (6), (7), (10), (20) are inconsistent by sub-proof
% 196.08/33.05  | | | |            #803.
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | Case 2:
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | |   (21)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 196.08/33.05  | | | |           = e0)
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | | BETA: splitting (21) gives:
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | | Case 1:
% 196.08/33.05  | | | | | 
% 196.08/33.05  | | | | |   (22)  all_56_6 = e0 & op(e1, e3) = e0
% 196.08/33.05  | | | | | 
% 196.08/33.05  | | | | | ALPHA: (22) implies:
% 196.08/33.05  | | | | |   (23)  all_56_6 = e0
% 196.08/33.05  | | | | | 
% 196.08/33.05  | | | | | REF_CLOSE: (11), (19), (23) are inconsistent by sub-proof #1581.
% 196.08/33.05  | | | | | 
% 196.08/33.05  | | | | Case 2:
% 196.08/33.05  | | | | | 
% 196.08/33.05  | | | | |   (24)  all_56_12 = e0 & op(e0, e3) = e0
% 196.08/33.05  | | | | | 
% 196.08/33.05  | | | | | ALPHA: (24) implies:
% 196.08/33.05  | | | | |   (25)  all_56_12 = e0
% 196.08/33.05  | | | | | 
% 196.08/33.05  | | | | | REF_CLOSE: (4), (6), (25) are inconsistent by sub-proof #1723.
% 196.08/33.05  | | | | | 
% 196.08/33.05  | | | | End of split
% 196.08/33.05  | | | | 
% 196.08/33.05  | | | End of split
% 196.08/33.05  | | | 
% 196.08/33.05  | | Case 2:
% 196.08/33.05  | | | 
% 196.08/33.05  | | |   (26)  all_56_12 = e3 & op(e0, e3) = e3
% 196.08/33.05  | | | 
% 196.08/33.05  | | | ALPHA: (26) implies:
% 196.08/33.05  | | |   (27)  all_56_12 = e3
% 196.08/33.05  | | | 
% 196.08/33.05  | | | REF_CLOSE: (4), (9), (27) are inconsistent by sub-proof #1674.
% 196.08/33.05  | | | 
% 196.08/33.05  | | End of split
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #803 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 196.08/33.05    (3)  op(e3, e3) = e2
% 196.08/33.05    (4)   ~ (e1 = e0)
% 196.08/33.05    (5)  all_56_2 = e1
% 196.08/33.05    (6)   ~ (e2 = e0)
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (2) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (7) implies:
% 196.08/33.05  | |   (8)  op(e3, e3) = e0
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #833.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (9) implies:
% 196.08/33.05  | |   (10)  all_56_2 = e0
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (4), (5), (10) are inconsistent by sub-proof #1713.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #804 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.05    (2)  op(e2, e2) = all_4_2
% 196.08/33.05    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.08/33.05             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.08/33.05           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 196.08/33.05           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.08/33.05             e1) = e0 & $i(all_57_7))
% 196.08/33.05    (4)   ~ (all_4_2 = e1)
% 196.08/33.05    (5)  op(e3, e3) = e2
% 196.08/33.05    (6)   ~ (e2 = e1)
% 196.08/33.05  
% 196.08/33.05  Begin of proof
% 196.08/33.05  | 
% 196.08/33.05  | BETA: splitting (3) gives:
% 196.08/33.05  | 
% 196.08/33.05  | Case 1:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.08/33.05  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.08/33.05  | |        $i(all_57_6)
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (7) implies:
% 196.08/33.05  | |   (8)  op(e3, e3) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1934.
% 196.08/33.05  | | 
% 196.08/33.05  | Case 2:
% 196.08/33.05  | | 
% 196.08/33.05  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.08/33.05  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.08/33.05  | |        $i(all_57_7)
% 196.08/33.05  | | 
% 196.08/33.05  | | ALPHA: (9) implies:
% 196.08/33.05  | |   (10)  op(e2, e2) = e1
% 196.08/33.05  | | 
% 196.08/33.05  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1969.
% 196.08/33.05  | | 
% 196.08/33.05  | End of split
% 196.08/33.05  | 
% 196.08/33.05  End of proof
% 196.08/33.05  
% 196.08/33.05  Sub-proof #805 shows that the following formulas are inconsistent:
% 196.08/33.05  ----------------------------------------------------------------
% 196.08/33.05    (1)  op(e1, e1) = e1
% 196.08/33.05    (2)  op(e1, e3) = all_52_2
% 196.08/33.06    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.08/33.06           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.08/33.06           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.08/33.06                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.08/33.06               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.08/33.06               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.08/33.06           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.08/33.06           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.08/33.06               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.08/33.06           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.08/33.06               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.08/33.06           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.08/33.06           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.08/33.06               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.08/33.06               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.06               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.08/33.06         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.08/33.06           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.08/33.06           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.08/33.06               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.08/33.06             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.08/33.06         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.08/33.06           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.08/33.06           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.08/33.06                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.08/33.06               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.08/33.06               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.08/33.06           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.08/33.06           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.08/33.06             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.06           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.08/33.06               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.08/33.06           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.08/33.06           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.08/33.06               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.08/33.06               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.06               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.08/33.06         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.08/33.06           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.08/33.06           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.08/33.06               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.08/33.06             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.08/33.06         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.08/33.06           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.08/33.06           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.08/33.06                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.08/33.06               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.06               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.08/33.06           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.08/33.06             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.06               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.06           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.08/33.06               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.08/33.06           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.08/33.06           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.08/33.06               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.08/33.06               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.08/33.06               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.08/33.06         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.08/33.06           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.08/33.06           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.08/33.06               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.08/33.06             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.08/33.06         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.08/33.06             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.06           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.08/33.06               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.08/33.06             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.08/33.06         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.08/33.06             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.06           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.08/33.06               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.08/33.06             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.08/33.06         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.08/33.06             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.08/33.06           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.08/33.06               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.08/33.06             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.08/33.06         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.08/33.06             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.08/33.06           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.08/33.06               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.08/33.06             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.08/33.06    (4)  op(e1, e2) = all_52_6
% 196.08/33.06    (5)   ~ (all_52_11 = e1)
% 196.08/33.06    (6)   ~ (all_52_13 = e2)
% 196.08/33.06    (7)   ~ (e3 = e2)
% 196.08/33.06    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.06    (9)  op(e2, e2) = all_4_2
% 196.08/33.06    (10)   ~ (all_57_15 = e2)
% 196.08/33.06    (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.08/33.06          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.08/33.06    (12)  op(e2, e0) = all_52_13
% 196.08/33.06    (13)  op(e0, e2) = e0
% 196.08/33.06    (14)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.08/33.06              e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.08/33.06            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.08/33.06             ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.08/33.06              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.08/33.06            (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.08/33.06            all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.08/33.06            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 196.08/33.06            = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.08/33.06          (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.08/33.06              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.08/33.06            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 196.08/33.06             ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.08/33.06              e1) = e0 & $i(all_57_7))
% 196.08/33.06    (15)  op(e0, e1) = all_52_11
% 196.08/33.06    (16)   ~ (all_4_2 = e1)
% 196.08/33.06    (17)   ~ (all_4_2 = e3)
% 196.08/33.06    (18)   ~ (all_52_8 = e2)
% 196.08/33.06    (19)  op(e3, e3) = e2
% 196.08/33.06    (20)   ~ (e2 = e1)
% 196.08/33.06    (21)   ~ (all_52_2 = e1)
% 196.08/33.06    (22)  op(e3, e1) = all_52_8
% 196.08/33.06    (23)  op(e0, e0) = e2
% 196.08/33.06    (24)   ~ (e3 = e1)
% 196.08/33.06    (25)   ~ (all_52_6 = e1)
% 196.08/33.06    (26)   ~ (e2 = e0)
% 196.08/33.06    (27)   ~ (all_52_11 = e2)
% 196.08/33.06  
% 196.08/33.06  Begin of proof
% 196.08/33.06  | 
% 196.08/33.06  | BETA: splitting (3) gives:
% 196.08/33.06  | 
% 196.08/33.06  | Case 1:
% 196.08/33.06  | | 
% 196.08/33.06  | |   (28)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.08/33.06  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.08/33.06  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.08/33.06  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.08/33.06  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.08/33.06  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 196.08/33.06  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.08/33.06  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 196.08/33.06  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.08/33.06  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.08/33.06  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.08/33.06  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 196.08/33.06  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 196.08/33.06  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.08/33.06  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.08/33.06  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.06  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.08/33.06  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.08/33.06  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.08/33.06  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.08/33.06  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.06  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.08/33.06  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 196.08/33.06  | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0,
% 196.08/33.06  | |             e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 196.08/33.06  | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.08/33.06  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 196.08/33.06  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.06  | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15
% 196.08/33.06  | |           = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0
% 196.08/33.06  | |           & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 196.08/33.06  | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.08/33.06  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.08/33.06  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.08/33.06  | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.08/33.06  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.08/33.06  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.08/33.06  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.08/33.06  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.08/33.06  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 196.08/33.06  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.08/33.06  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 196.08/33.06  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.08/33.06  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 196.08/33.06  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.08/33.06  | |               $i(all_57_5))))
% 196.08/33.06  | | 
% 196.08/33.06  | | BETA: splitting (28) gives:
% 196.08/33.06  | | 
% 196.08/33.06  | | Case 1:
% 196.08/33.06  | | | 
% 196.08/33.06  | | |   (29)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 196.08/33.06  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.08/33.06  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.08/33.06  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.08/33.06  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.08/33.06  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 196.08/33.06  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 196.08/33.06  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 196.08/33.06  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.08/33.06  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 196.08/33.06  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.08/33.06  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 196.08/33.06  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 196.08/33.06  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.08/33.06  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.08/33.06  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 196.08/33.06  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.08/33.06  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 196.08/33.06  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.08/33.06  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 196.08/33.06  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.08/33.06  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.08/33.06  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.08/33.06  | | |               $i(all_57_2))))
% 196.08/33.06  | | | 
% 196.08/33.06  | | | BETA: splitting (29) gives:
% 196.08/33.06  | | | 
% 196.08/33.06  | | | Case 1:
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | |   (30)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 196.08/33.06  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 196.08/33.06  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 196.08/33.06  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.08/33.06  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.08/33.06  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.08/33.06  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 196.08/33.06  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 196.08/33.06  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.08/33.06  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.08/33.06  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.06  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | | REF_CLOSE: (8), (9), (10), (13), (17), (30) are inconsistent by
% 196.08/33.06  | | | |            sub-proof #806.
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | Case 2:
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | |   (31)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 196.08/33.06  | | | |           e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 196.08/33.06  | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 196.08/33.06  | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.08/33.06  | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.06  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 196.08/33.06  | | | |         | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.08/33.06  | | | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 196.08/33.06  | | | |           e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.08/33.06  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.06  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.06  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | | REF_CLOSE: (2), (8), (19), (20), (21), (31) are inconsistent by
% 196.08/33.06  | | | |            sub-proof #831.
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | End of split
% 196.08/33.06  | | | 
% 196.08/33.06  | | Case 2:
% 196.08/33.06  | | | 
% 196.08/33.06  | | |   (32)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 196.08/33.06  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.08/33.06  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.08/33.06  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 196.08/33.06  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.08/33.06  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 196.08/33.06  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 196.08/33.06  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.08/33.06  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.08/33.06  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 196.08/33.06  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.08/33.06  | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2
% 196.08/33.06  | | |           & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1,
% 196.08/33.06  | | |             e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.08/33.06  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.08/33.06  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 196.08/33.06  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.08/33.06  | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 196.08/33.06  | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.08/33.06  | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 196.08/33.06  | | |               = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.08/33.06  | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 196.08/33.06  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.08/33.06  | | |               $i(all_57_5))))
% 196.08/33.06  | | | 
% 196.08/33.06  | | | BETA: splitting (32) gives:
% 196.08/33.06  | | | 
% 196.08/33.06  | | | Case 1:
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | |   (33)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 196.08/33.06  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 196.08/33.06  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 196.08/33.06  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.08/33.06  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 196.08/33.06  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.06  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 196.08/33.06  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.08/33.06  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.08/33.06  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.08/33.06  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.08/33.06  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.08/33.06  | | | |               all_57_1 & $i(all_57_1))))
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | | REF_CLOSE: (7), (8), (19), (23), (26), (33) are inconsistent by
% 196.08/33.06  | | | |            sub-proof #815.
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | Case 2:
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | |   (34)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 196.08/33.06  | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 196.08/33.06  | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.08/33.06  | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.08/33.06  | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.06  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 196.08/33.06  | | | |         | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 196.08/33.06  | | | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 196.08/33.06  | | | |           e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.06  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.06  | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.08/33.06  | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | | REF_CLOSE: (4), (8), (9), (16), (25), (34) are inconsistent by sub-proof
% 196.08/33.06  | | | |            #1110.
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | End of split
% 196.08/33.06  | | | 
% 196.08/33.06  | | End of split
% 196.08/33.06  | | 
% 196.08/33.06  | Case 2:
% 196.08/33.06  | | 
% 196.08/33.06  | |   (35)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.08/33.06  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.08/33.06  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.08/33.06  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.08/33.06  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.08/33.06  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 196.08/33.06  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 196.08/33.06  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.08/33.06  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.08/33.06  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 196.08/33.06  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.08/33.06  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 196.08/33.06  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.08/33.06  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 196.08/33.06  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.08/33.06  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.08/33.06  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.08/33.06  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.08/33.06  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.08/33.06  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.08/33.06  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.08/33.06  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 196.08/33.06  | |                 e1) = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 196.08/33.06  | |             e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.08/33.06  | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 196.08/33.06  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.08/33.06  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.08/33.06  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.08/33.06  | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 196.08/33.06  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.08/33.06  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 196.08/33.06  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.08/33.06  | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.08/33.06  | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.08/33.06  | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 196.08/33.06  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.08/33.06  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.08/33.06  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.08/33.06  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.08/33.06  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 196.08/33.06  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.08/33.06  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 196.08/33.06  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.08/33.06  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 196.08/33.06  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.06  | |               $i(all_57_13))))
% 196.08/33.06  | | 
% 196.08/33.06  | | BETA: splitting (35) gives:
% 196.08/33.06  | | 
% 196.08/33.06  | | Case 1:
% 196.08/33.06  | | | 
% 196.08/33.06  | | |   (36)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 196.08/33.06  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.08/33.06  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.08/33.06  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.08/33.06  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.08/33.06  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 196.08/33.06  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 196.08/33.06  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.08/33.06  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.06  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.06  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.08/33.06  | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 196.08/33.06  | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 196.08/33.06  | | |           e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.08/33.06  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.08/33.06  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.08/33.06  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.08/33.06  | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 196.08/33.06  | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.08/33.06  | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10
% 196.08/33.06  | | |               = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.08/33.06  | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 196.08/33.06  | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.08/33.06  | | |               $i(all_57_7))))
% 196.08/33.06  | | | 
% 196.08/33.06  | | | BETA: splitting (36) gives:
% 196.08/33.06  | | | 
% 196.08/33.06  | | | Case 1:
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | |   (37)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 196.08/33.06  | | | |           e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 196.08/33.06  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 196.08/33.06  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.08/33.06  | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 196.08/33.06  | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.06  | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 196.08/33.06  | | | |           all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.08/33.06  | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.08/33.06  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.08/33.06  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.08/33.06  | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.08/33.06  | | | |               all_57_4 & $i(all_57_4))))
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | | BETA: splitting (37) gives:
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | | Case 1:
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | |   (38)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 196.08/33.06  | | | | |         e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 196.08/33.06  | | | | |         all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 196.08/33.06  | | | | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.08/33.06  | | | | |             $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 196.08/33.06  | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.06  | | | | |             $i(all_57_13)))
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | | ALPHA: (38) implies:
% 196.08/33.06  | | | | |   (39)  op(e2, e0) = e2
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | | REF_CLOSE: (6), (8), (12), (39) are inconsistent by sub-proof #1662.
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | Case 2:
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | |   (40)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 196.08/33.06  | | | | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) =
% 196.08/33.06  | | | | |         e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.06  | | | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.06  | | | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.08/33.06  | | | | |             op(e1, e2) = all_57_4 & $i(all_57_4)))
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | | ALPHA: (40) implies:
% 196.08/33.06  | | | | |   (41)  all_57_15 = e2
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | | REDUCE: (10), (41) imply:
% 196.08/33.06  | | | | |   (42)  $false
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | | CLOSE: (42) is inconsistent.
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | End of split
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | Case 2:
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | |   (43)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 196.08/33.06  | | | |           e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 196.08/33.06  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 196.08/33.06  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.08/33.06  | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.08/33.06  | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.08/33.06  | | | |               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 196.08/33.06  | | | |           all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.08/33.06  | | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.08/33.06  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.08/33.06  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.08/33.06  | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.08/33.06  | | | |               all_57_7 & $i(all_57_7))))
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | | REF_CLOSE: (5), (8), (15), (20), (23), (43) are inconsistent by
% 196.08/33.06  | | | |            sub-proof #1730.
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | End of split
% 196.08/33.06  | | | 
% 196.08/33.06  | | Case 2:
% 196.08/33.06  | | | 
% 196.08/33.06  | | |   (44)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 196.08/33.06  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.08/33.06  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.08/33.06  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.08/33.06  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.06  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 196.08/33.06  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.06  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.06  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.08/33.06  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.08/33.06  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.08/33.06  | | |               all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) =
% 196.08/33.06  | | |           e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.08/33.06  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 196.08/33.06  | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.08/33.06  | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 196.08/33.06  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.08/33.06  | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 196.08/33.06  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.08/33.06  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.08/33.06  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.08/33.06  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 196.08/33.06  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.06  | | |               $i(all_57_13))))
% 196.08/33.06  | | | 
% 196.08/33.06  | | | BETA: splitting (44) gives:
% 196.08/33.06  | | | 
% 196.08/33.06  | | | Case 1:
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | |   (45)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 196.08/33.06  | | | |                 e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 196.08/33.06  | | | |               & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 196.08/33.06  | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 196.08/33.06  | | | |           & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.06  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2
% 196.08/33.06  | | | |           & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.06  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.06  | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.08/33.06  | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 196.08/33.06  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.08/33.06  | | | |               all_57_5 & $i(all_57_5))))
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | | BETA: splitting (45) gives:
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | | Case 1:
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | |   (46)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 196.08/33.06  | | | | |               e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 196.08/33.06  | | | | |             & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 196.08/33.06  | | | | |             ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 196.08/33.06  | | | | |         & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.06  | | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | | ALPHA: (46) implies:
% 196.08/33.06  | | | | |   (47)  op(e3, e3) = e3
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | | REF_CLOSE: (1), (7), (8), (9), (14), (16), (17), (20), (24), (47) are
% 196.08/33.06  | | | | |            inconsistent by sub-proof #1953.
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | Case 2:
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | |   (48)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3,
% 196.08/33.06  | | | | |               e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3
% 196.08/33.06  | | | | |             & $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | (
% 196.08/33.06  | | | | |             ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 196.08/33.06  | | | | |         & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.08/33.06  | | | | |             op(e0, e2) = all_57_5 & $i(all_57_5)))
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | | ALPHA: (48) implies:
% 196.08/33.06  | | | | |   (49)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.08/33.06  | | | | |           op(e0, e2) = all_57_5 & $i(all_57_5))
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | | REF_CLOSE: (8), (10), (13), (49) are inconsistent by sub-proof #807.
% 196.08/33.06  | | | | | 
% 196.08/33.06  | | | | End of split
% 196.08/33.06  | | | | 
% 196.08/33.06  | | | Case 2:
% 196.08/33.06  | | | | 
% 196.08/33.07  | | | |   (50)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 196.08/33.07  | | | |                 e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 196.08/33.07  | | | |               & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 196.08/33.07  | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 196.08/33.07  | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 196.08/33.07  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0
% 196.08/33.07  | | | |           & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.08/33.07  | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.08/33.07  | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 196.08/33.07  | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 196.08/33.07  | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 196.08/33.07  | | | |               = all_57_13 & $i(all_57_13))))
% 196.08/33.07  | | | | 
% 196.08/33.07  | | | | BETA: splitting (50) gives:
% 196.08/33.07  | | | | 
% 196.08/33.07  | | | | Case 1:
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | |   (51)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 196.08/33.07  | | | | |               e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 196.08/33.07  | | | | |             & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 196.08/33.07  | | | | |             ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 196.08/33.07  | | | | |         & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 196.08/33.07  | | | | |             op(e0, e1) = all_57_8 & $i(all_57_8)))
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | | ALPHA: (51) implies:
% 196.08/33.07  | | | | |   (52)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 196.08/33.07  | | | | |           op(e0, e1) = all_57_8 & $i(all_57_8))
% 196.08/33.07  | | | | |   (53)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.08/33.07  | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7))
% 196.08/33.07  | | | | |   (54)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.08/33.07  | | | | |           op(e3, e1) = all_57_6 & $i(all_57_6))
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | | REF_CLOSE: (1), (8), (9), (11), (15), (16), (18), (19), (20), (22),
% 196.08/33.07  | | | | |            (23), (27), (52), (53), (54) are inconsistent by sub-proof
% 196.08/33.07  | | | | |            #813.
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | Case 2:
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | |   (55)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3,
% 196.08/33.07  | | | | |               e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9
% 196.08/33.07  | | | | |             & $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | (
% 196.08/33.07  | | | | |             ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.08/33.07  | | | | |             $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 196.08/33.07  | | | | |             ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.07  | | | | |             $i(all_57_13)))
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | | ALPHA: (55) implies:
% 196.08/33.07  | | | | |   (56)  op(e0, e0) = e0
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | | REF_CLOSE: (8), (23), (26), (56) are inconsistent by sub-proof #1945.
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | End of split
% 196.08/33.07  | | | | 
% 196.08/33.07  | | | End of split
% 196.08/33.07  | | | 
% 196.08/33.07  | | End of split
% 196.08/33.07  | | 
% 196.08/33.07  | End of split
% 196.08/33.07  | 
% 196.08/33.07  End of proof
% 196.08/33.07  
% 196.08/33.07  Sub-proof #806 shows that the following formulas are inconsistent:
% 196.08/33.07  ----------------------------------------------------------------
% 196.08/33.07    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.07    (2)  op(e2, e2) = all_4_2
% 196.08/33.07    (3)   ~ (all_57_15 = e2)
% 196.08/33.07    (4)  op(e0, e2) = e0
% 196.08/33.07    (5)   ~ (all_4_2 = e3)
% 196.08/33.07    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.08/33.07           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.08/33.07           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.08/33.07                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.08/33.07               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.08/33.07               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.08/33.07           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.08/33.07           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.08/33.07               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.08/33.07           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.08/33.07               = all_57_2 & $i(all_57_2))))
% 196.08/33.07  
% 196.08/33.07  Begin of proof
% 196.08/33.07  | 
% 196.08/33.07  | BETA: splitting (6) gives:
% 196.08/33.07  | 
% 196.08/33.07  | Case 1:
% 196.08/33.07  | | 
% 196.08/33.07  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.08/33.07  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.08/33.07  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.08/33.07  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 196.08/33.07  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 196.08/33.07  | |            & $i(all_57_5)))
% 196.08/33.07  | | 
% 196.08/33.07  | | ALPHA: (7) implies:
% 196.08/33.07  | |   (8)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.08/33.07  | |          = all_57_5 & $i(all_57_5))
% 196.08/33.07  | | 
% 196.08/33.07  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #807.
% 196.08/33.07  | | 
% 196.08/33.07  | Case 2:
% 196.08/33.07  | | 
% 196.08/33.07  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 196.08/33.07  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.08/33.07  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 196.08/33.07  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.08/33.07  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 196.08/33.07  | |            & $i(all_57_2)))
% 196.08/33.07  | | 
% 196.08/33.07  | | ALPHA: (9) implies:
% 196.08/33.07  | |   (10)  op(e2, e2) = e3
% 196.08/33.07  | | 
% 196.08/33.07  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1975.
% 196.08/33.07  | | 
% 196.08/33.07  | End of split
% 196.08/33.07  | 
% 196.08/33.07  End of proof
% 196.08/33.07  
% 196.08/33.07  Sub-proof #807 shows that the following formulas are inconsistent:
% 196.08/33.07  ----------------------------------------------------------------
% 196.08/33.07    (1)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.08/33.07           all_57_5 & $i(all_57_5))
% 196.08/33.07    (2)   ~ (all_57_15 = e2)
% 196.08/33.07    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.07    (4)  op(e0, e2) = e0
% 196.08/33.07  
% 196.08/33.07  Begin of proof
% 196.08/33.07  | 
% 196.08/33.07  | BETA: splitting (1) gives:
% 196.08/33.07  | 
% 196.08/33.07  | Case 1:
% 196.08/33.07  | | 
% 196.08/33.07  | |   (5)  all_57_15 = e2 & op(e0, e0) = e2
% 196.08/33.07  | | 
% 196.08/33.07  | | ALPHA: (5) implies:
% 196.08/33.07  | |   (6)  all_57_15 = e2
% 196.08/33.07  | | 
% 196.08/33.07  | | REDUCE: (2), (6) imply:
% 196.08/33.07  | |   (7)  $false
% 196.08/33.07  | | 
% 196.08/33.07  | | CLOSE: (7) is inconsistent.
% 196.08/33.07  | | 
% 196.08/33.07  | Case 2:
% 196.08/33.07  | | 
% 196.08/33.07  | |   (8)   ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)
% 196.08/33.07  | | 
% 196.08/33.07  | | ALPHA: (8) implies:
% 196.08/33.07  | |   (9)   ~ (all_57_5 = e0)
% 196.08/33.07  | |   (10)  op(e0, e2) = all_57_5
% 196.08/33.07  | | 
% 196.08/33.07  | | REF_CLOSE: (3), (4), (9), (10) are inconsistent by sub-proof #1589.
% 196.08/33.07  | | 
% 196.08/33.07  | End of split
% 196.08/33.07  | 
% 196.08/33.07  End of proof
% 196.08/33.07  
% 196.08/33.07  Sub-proof #808 shows that the following formulas are inconsistent:
% 196.08/33.07  ----------------------------------------------------------------
% 196.08/33.07    (1)  all_56_14 = e2 & op(e0, e1) = e2
% 196.08/33.07    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.07    (3)  op(e0, e1) = all_52_11
% 196.08/33.07    (4)   ~ (all_52_11 = e2)
% 196.08/33.07  
% 196.08/33.07  Begin of proof
% 196.08/33.07  | 
% 196.08/33.07  | ALPHA: (1) implies:
% 196.08/33.07  |   (5)  op(e0, e1) = e2
% 196.08/33.07  | 
% 196.08/33.07  | GROUND_INST: instantiating (2) with all_52_11, e2, e1, e0, simplifying with
% 196.08/33.07  |              (3), (5) gives:
% 196.08/33.07  |   (6)  all_52_11 = e2
% 196.08/33.07  | 
% 196.08/33.07  | REDUCE: (4), (6) imply:
% 196.08/33.07  |   (7)  $false
% 196.08/33.07  | 
% 196.08/33.07  | CLOSE: (7) is inconsistent.
% 196.08/33.07  | 
% 196.08/33.07  End of proof
% 196.08/33.07  
% 196.08/33.07  Sub-proof #809 shows that the following formulas are inconsistent:
% 196.08/33.07  ----------------------------------------------------------------
% 196.08/33.07    (1)  op(e3, e0) = e3
% 196.08/33.07    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.07    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.08/33.07           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.08/33.07           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.08/33.07                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.08/33.07               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.08/33.07               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.08/33.07           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.08/33.07           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.08/33.07             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.07           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.08/33.07               = all_57_1 & $i(all_57_1))))
% 196.08/33.07    (4)  op(e3, e3) = e2
% 196.08/33.07    (5)   ~ (e2 = e0)
% 196.08/33.07    (6)   ~ (e3 = e0)
% 196.08/33.07  
% 196.08/33.07  Begin of proof
% 196.08/33.07  | 
% 196.08/33.07  | BETA: splitting (3) gives:
% 196.08/33.07  | 
% 196.08/33.07  | Case 1:
% 196.08/33.07  | | 
% 196.08/33.07  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.08/33.07  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.08/33.07  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 196.08/33.07  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 196.08/33.07  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.08/33.07  | |            all_57_13 & $i(all_57_13)))
% 196.08/33.07  | | 
% 196.08/33.07  | | ALPHA: (7) implies:
% 196.08/33.07  | |   (8)  op(e3, e3) = e0
% 196.08/33.07  | | 
% 196.08/33.07  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #833.
% 196.08/33.07  | | 
% 196.08/33.07  | Case 2:
% 196.08/33.07  | | 
% 196.08/33.07  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 196.08/33.07  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.08/33.07  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.08/33.07  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.08/33.07  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 196.08/33.07  | |            & $i(all_57_1)))
% 196.08/33.07  | | 
% 196.08/33.07  | | ALPHA: (9) implies:
% 196.08/33.07  | |   (10)  op(e3, e0) = e0
% 196.08/33.07  | | 
% 196.08/33.07  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1793.
% 196.08/33.07  | | 
% 196.08/33.07  | End of split
% 196.08/33.07  | 
% 196.08/33.07  End of proof
% 196.08/33.07  
% 196.08/33.07  Sub-proof #810 shows that the following formulas are inconsistent:
% 196.08/33.07  ----------------------------------------------------------------
% 196.08/33.07    (1)  all_56_4 = e2 & op(e3, e1) = e2
% 196.08/33.07    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.07    (3)  op(e3, e1) = all_52_8
% 196.08/33.07    (4)   ~ (all_52_8 = e2)
% 196.08/33.07  
% 196.08/33.07  Begin of proof
% 196.08/33.07  | 
% 196.08/33.07  | ALPHA: (1) implies:
% 196.08/33.07  |   (5)  op(e3, e1) = e2
% 196.08/33.07  | 
% 196.08/33.07  | GROUND_INST: instantiating (2) with all_52_8, e2, e1, e3, simplifying with
% 196.08/33.07  |              (3), (5) gives:
% 196.08/33.07  |   (6)  all_52_8 = e2
% 196.08/33.07  | 
% 196.08/33.07  | REDUCE: (4), (6) imply:
% 196.08/33.07  |   (7)  $false
% 196.08/33.07  | 
% 196.08/33.07  | CLOSE: (7) is inconsistent.
% 196.08/33.07  | 
% 196.08/33.07  End of proof
% 196.08/33.07  
% 196.08/33.07  Sub-proof #811 shows that the following formulas are inconsistent:
% 196.08/33.07  ----------------------------------------------------------------
% 196.08/33.07    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.07    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.08/33.07             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.08/33.07           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 196.08/33.07           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.08/33.07           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 196.08/33.07           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 196.08/33.07    (3)  op(e3, e3) = e2
% 196.08/33.07    (4)   ~ (e2 = e1)
% 196.08/33.07    (5)  op(e0, e0) = e2
% 196.08/33.07  
% 196.08/33.07  Begin of proof
% 196.08/33.07  | 
% 196.08/33.07  | BETA: splitting (2) gives:
% 196.08/33.07  | 
% 196.08/33.07  | Case 1:
% 196.08/33.07  | | 
% 196.08/33.07  | |   (6)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.08/33.07  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.08/33.07  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 196.08/33.07  | | 
% 196.08/33.07  | | ALPHA: (6) implies:
% 196.08/33.07  | |   (7)  op(e0, e0) = e1
% 196.08/33.07  | | 
% 196.08/33.07  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1780.
% 196.08/33.07  | | 
% 196.08/33.07  | Case 2:
% 196.08/33.07  | | 
% 196.08/33.07  | |   (8)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.08/33.07  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.08/33.07  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 196.08/33.07  | | 
% 196.08/33.07  | | ALPHA: (8) implies:
% 196.08/33.07  | |   (9)  op(e3, e3) = e1
% 196.08/33.07  | | 
% 196.08/33.07  | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #1934.
% 196.08/33.07  | | 
% 196.08/33.07  | End of split
% 196.08/33.07  | 
% 196.08/33.07  End of proof
% 196.08/33.07  
% 196.08/33.07  Sub-proof #812 shows that the following formulas are inconsistent:
% 196.08/33.07  ----------------------------------------------------------------
% 196.08/33.07    (1)  op(e1, e3) = all_52_2
% 196.08/33.07    (2)   ~ (all_57_10 = e2)
% 196.08/33.07    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.08/33.07           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.08/33.07           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.08/33.07                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.08/33.07               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.08/33.07               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.08/33.07           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.08/33.07           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.08/33.07               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.08/33.07           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.08/33.07               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.08/33.07           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.08/33.07           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.08/33.07               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.08/33.07               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.07               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.08/33.07         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.08/33.07           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.08/33.07           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.08/33.07               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.08/33.07             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.08/33.07         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.08/33.07           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.08/33.07           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.08/33.07                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.08/33.07               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.08/33.07               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.08/33.07           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.08/33.07           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.08/33.07             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.07           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.08/33.07               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.08/33.07           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.08/33.07           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.08/33.07               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.08/33.07               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.07               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.08/33.07         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.08/33.07           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.08/33.07           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.08/33.07               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.08/33.07             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.08/33.07         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.08/33.07           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.08/33.07           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.08/33.07                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.08/33.07               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.07               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.08/33.07           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.08/33.07             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.07               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.07           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.08/33.07               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.08/33.07           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.08/33.07           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.08/33.07               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.08/33.07               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.08/33.07               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.08/33.07         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.08/33.07           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.08/33.07           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.08/33.07               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.08/33.07             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.08/33.07         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.08/33.07             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.07           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.08/33.07               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.08/33.07             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.08/33.07         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.08/33.07             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.07           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.08/33.07               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.08/33.07             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.08/33.07         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.08/33.07             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.08/33.07           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.08/33.07               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.08/33.07             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.08/33.07         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.08/33.07             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.08/33.07           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.08/33.07               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.08/33.07             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.08/33.07    (4)   ~ (all_52_11 = e1)
% 196.08/33.07    (5)   ~ (all_52_13 = e2)
% 196.08/33.07    (6)   ~ (e3 = e2)
% 196.08/33.07    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.07    (8)  op(e2, e2) = all_4_2
% 196.08/33.07    (9)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.08/33.07         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.08/33.07    (10)  op(e2, e0) = all_52_13
% 196.08/33.07    (11)  op(e0, e1) = all_52_11
% 196.08/33.07    (12)   ~ (all_4_2 = e1)
% 196.08/33.07    (13)   ~ (all_4_2 = e3)
% 196.08/33.07    (14)  op(e3, e2) = e3
% 196.08/33.07    (15)   ~ (all_52_8 = e2)
% 196.08/33.07    (16)  op(e3, e3) = e2
% 196.08/33.07    (17)   ~ (e2 = e1)
% 196.08/33.07    (18)   ~ (all_52_2 = e1)
% 196.08/33.07    (19)  op(e3, e1) = all_52_8
% 196.08/33.07    (20)  op(e0, e0) = e2
% 196.08/33.07    (21)   ~ (e2 = e0)
% 196.08/33.07    (22)   ~ (all_52_11 = e2)
% 196.08/33.07  
% 196.08/33.07  Begin of proof
% 196.08/33.07  | 
% 196.08/33.07  | BETA: splitting (3) gives:
% 196.08/33.07  | 
% 196.08/33.07  | Case 1:
% 196.08/33.07  | | 
% 196.08/33.07  | |   (23)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.08/33.07  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.08/33.07  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.08/33.07  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.08/33.07  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.08/33.07  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 196.08/33.07  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.08/33.07  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 196.08/33.07  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.08/33.07  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.08/33.07  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.08/33.07  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 196.08/33.07  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 196.08/33.07  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.08/33.07  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.08/33.07  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.07  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.08/33.07  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.08/33.07  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.08/33.07  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.08/33.07  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.07  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.08/33.07  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 196.08/33.07  | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0,
% 196.08/33.07  | |             e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 196.08/33.07  | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.08/33.07  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 196.08/33.07  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.07  | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15
% 196.08/33.07  | |           = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0
% 196.08/33.07  | |           & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 196.08/33.07  | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.08/33.07  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.08/33.07  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.08/33.07  | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.08/33.07  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.08/33.07  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.08/33.07  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.08/33.07  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.08/33.07  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 196.08/33.07  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.08/33.07  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 196.08/33.07  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.08/33.07  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 196.08/33.07  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.08/33.07  | |               $i(all_57_5))))
% 196.08/33.07  | | 
% 196.08/33.07  | | BETA: splitting (23) gives:
% 196.08/33.07  | | 
% 196.08/33.07  | | Case 1:
% 196.08/33.07  | | | 
% 196.08/33.07  | | |   (24)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 196.08/33.07  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.08/33.07  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.08/33.07  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.08/33.07  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.08/33.07  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 196.08/33.07  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 196.08/33.07  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 196.08/33.07  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.08/33.07  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 196.08/33.07  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.08/33.07  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 196.08/33.07  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 196.08/33.07  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.08/33.07  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.08/33.07  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 196.08/33.07  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.08/33.07  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 196.08/33.07  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.08/33.07  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 196.08/33.07  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.08/33.07  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.08/33.07  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.08/33.07  | | |               $i(all_57_2))))
% 196.08/33.07  | | | 
% 196.08/33.07  | | | BETA: splitting (24) gives:
% 196.08/33.07  | | | 
% 196.08/33.07  | | | Case 1:
% 196.08/33.07  | | | | 
% 196.08/33.07  | | | |   (25)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 196.08/33.07  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 196.08/33.07  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 196.08/33.07  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.08/33.07  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.08/33.07  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.08/33.07  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 196.08/33.07  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 196.08/33.07  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.08/33.07  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.08/33.07  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.07  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.08/33.07  | | | | 
% 196.08/33.07  | | | | BETA: splitting (25) gives:
% 196.08/33.07  | | | | 
% 196.08/33.07  | | | | Case 1:
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | |   (26)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 196.08/33.07  | | | | |         e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 196.08/33.07  | | | | |         all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 196.08/33.07  | | | | |             e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.08/33.07  | | | | |             $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.08/33.07  | | | | |             (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | | ALPHA: (26) implies:
% 196.08/33.07  | | | | |   (27)  all_57_10 = e2
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | | REDUCE: (2), (27) imply:
% 196.08/33.07  | | | | |   (28)  $false
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | | CLOSE: (28) is inconsistent.
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | Case 2:
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | |   (29)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 196.08/33.07  | | | | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 196.08/33.07  | | | | |         e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.08/33.07  | | | | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.08/33.07  | | | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.07  | | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | | ALPHA: (29) implies:
% 196.08/33.07  | | | | |   (30)  op(e2, e2) = e3
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | | REF_CLOSE: (7), (8), (13), (30) are inconsistent by sub-proof #1975.
% 196.08/33.07  | | | | | 
% 196.08/33.07  | | | | End of split
% 196.08/33.07  | | | | 
% 196.08/33.07  | | | Case 2:
% 196.08/33.07  | | | | 
% 196.08/33.07  | | | |   (31)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 196.08/33.07  | | | |           e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 196.08/33.07  | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 196.08/33.07  | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.08/33.07  | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.07  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 196.08/33.07  | | | |         | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.08/33.07  | | | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 196.08/33.07  | | | |           e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.08/33.07  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.08/33.07  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.07  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.08/33.07  | | | | 
% 196.08/33.07  | | | | REF_CLOSE: (1), (7), (16), (17), (18), (31) are inconsistent by
% 196.08/33.07  | | | |            sub-proof #831.
% 196.08/33.07  | | | | 
% 196.08/33.07  | | | End of split
% 196.08/33.07  | | | 
% 196.08/33.07  | | Case 2:
% 196.08/33.07  | | | 
% 196.08/33.08  | | |   (32)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 196.08/33.08  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.08/33.08  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.08/33.08  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 196.08/33.08  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.08/33.08  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 196.08/33.08  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 196.08/33.08  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.08/33.08  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.08/33.08  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 196.08/33.08  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.08/33.08  | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2
% 196.08/33.08  | | |           & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1,
% 196.08/33.08  | | |             e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.08/33.08  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.08/33.08  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 196.08/33.08  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.08/33.08  | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 196.08/33.08  | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.08/33.08  | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 196.08/33.08  | | |               = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.08/33.08  | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 196.08/33.08  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.08/33.08  | | |               $i(all_57_5))))
% 196.08/33.08  | | | 
% 196.08/33.08  | | | BETA: splitting (32) gives:
% 196.08/33.08  | | | 
% 196.08/33.08  | | | Case 1:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | |   (33)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 196.08/33.08  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 196.08/33.08  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 196.08/33.08  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.08/33.08  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 196.08/33.08  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.08  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 196.08/33.08  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.08/33.08  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.08/33.08  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.08/33.08  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.08/33.08  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.08/33.08  | | | |               all_57_1 & $i(all_57_1))))
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | REF_CLOSE: (6), (7), (16), (20), (21), (33) are inconsistent by
% 196.08/33.08  | | | |            sub-proof #815.
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | Case 2:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | |   (34)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 196.08/33.08  | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 196.08/33.08  | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.08/33.08  | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.08/33.08  | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.08  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 196.08/33.08  | | | |         | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 196.08/33.08  | | | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 196.08/33.08  | | | |           e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.08  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.08  | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.08/33.08  | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | BETA: splitting (34) gives:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | Case 1:
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | |   (35)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 196.08/33.08  | | | | |         e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 196.08/33.08  | | | | |         all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.08/33.08  | | | | |             e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.08/33.08  | | | | |             $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.08/33.08  | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | ALPHA: (35) implies:
% 196.08/33.08  | | | | |   (36)  op(e2, e2) = e1
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | REF_CLOSE: (7), (8), (12), (36) are inconsistent by sub-proof #1969.
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | Case 2:
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | |   (37)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 196.08/33.08  | | | | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 196.08/33.08  | | | | |         e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.08  | | | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.08  | | | | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.08/33.08  | | | | |             op(e0, e2) = all_57_5 & $i(all_57_5)))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | ALPHA: (37) implies:
% 196.08/33.08  | | | | |   (38)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.08/33.08  | | | | |           op(e3, e2) = all_57_3 & $i(all_57_3))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | REF_CLOSE: (2), (7), (14), (38) are inconsistent by sub-proof #814.
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | End of split
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | End of split
% 196.08/33.08  | | | 
% 196.08/33.08  | | End of split
% 196.08/33.08  | | 
% 196.08/33.08  | Case 2:
% 196.08/33.08  | | 
% 196.08/33.08  | |   (39)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.08/33.08  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.08/33.08  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.08/33.08  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.08/33.08  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.08/33.08  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 196.08/33.08  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 196.08/33.08  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.08/33.08  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.08/33.08  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 196.08/33.08  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.08/33.08  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 196.08/33.08  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.08/33.08  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 196.08/33.08  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.08/33.08  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.08/33.08  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.08/33.08  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.08/33.08  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.08/33.08  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.08/33.08  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.08/33.08  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 196.08/33.08  | |                 e1) = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 196.08/33.08  | |             e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.08/33.08  | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 196.08/33.08  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.08/33.08  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.08/33.08  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.08/33.08  | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 196.08/33.08  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.08/33.08  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 196.08/33.08  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.08/33.08  | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.08/33.08  | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.08/33.08  | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 196.08/33.08  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.08/33.08  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.08/33.08  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.08/33.08  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.08/33.08  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 196.08/33.08  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.08/33.08  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 196.08/33.08  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.08/33.08  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 196.08/33.08  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.08  | |               $i(all_57_13))))
% 196.08/33.08  | | 
% 196.08/33.08  | | BETA: splitting (39) gives:
% 196.08/33.08  | | 
% 196.08/33.08  | | Case 1:
% 196.08/33.08  | | | 
% 196.08/33.08  | | |   (40)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 196.08/33.08  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.08/33.08  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.08/33.08  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.08/33.08  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.08/33.08  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 196.08/33.08  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 196.08/33.08  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.08/33.08  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.08  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.08  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.08/33.08  | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 196.08/33.08  | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 196.08/33.08  | | |           e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.08/33.08  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.08/33.08  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.08/33.08  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.08/33.08  | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 196.08/33.08  | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.08/33.08  | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10
% 196.08/33.08  | | |               = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.08/33.08  | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 196.08/33.08  | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.08/33.08  | | |               $i(all_57_7))))
% 196.08/33.08  | | | 
% 196.08/33.08  | | | BETA: splitting (40) gives:
% 196.08/33.08  | | | 
% 196.08/33.08  | | | Case 1:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | |   (41)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 196.08/33.08  | | | |           e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 196.08/33.08  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 196.08/33.08  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.08/33.08  | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 196.08/33.08  | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.08  | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 196.08/33.08  | | | |           all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.08/33.08  | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.08/33.08  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.08/33.08  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.08/33.08  | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.08/33.08  | | | |               all_57_4 & $i(all_57_4))))
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | BETA: splitting (41) gives:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | Case 1:
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | |   (42)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 196.08/33.08  | | | | |         e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 196.08/33.08  | | | | |         all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 196.08/33.08  | | | | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.08/33.08  | | | | |             $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 196.08/33.08  | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.08  | | | | |             $i(all_57_13)))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | ALPHA: (42) implies:
% 196.08/33.08  | | | | |   (43)  op(e2, e0) = e2
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | REF_CLOSE: (5), (7), (10), (43) are inconsistent by sub-proof #1662.
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | Case 2:
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | |   (44)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 196.08/33.08  | | | | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) =
% 196.08/33.08  | | | | |         e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.08  | | | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.08  | | | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.08/33.08  | | | | |             op(e1, e2) = all_57_4 & $i(all_57_4)))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | ALPHA: (44) implies:
% 196.08/33.08  | | | | |   (45)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.08/33.08  | | | | |           op(e3, e2) = all_57_3 & $i(all_57_3))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | REF_CLOSE: (2), (7), (14), (45) are inconsistent by sub-proof #814.
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | End of split
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | Case 2:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | |   (46)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 196.08/33.08  | | | |           e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 196.08/33.08  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 196.08/33.08  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.08/33.08  | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.08/33.08  | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.08/33.08  | | | |               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 196.08/33.08  | | | |           all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.08/33.08  | | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.08/33.08  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.08/33.08  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.08/33.08  | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.08/33.08  | | | |               all_57_7 & $i(all_57_7))))
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | REF_CLOSE: (4), (7), (11), (17), (20), (46) are inconsistent by
% 196.08/33.08  | | | |            sub-proof #1730.
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | End of split
% 196.08/33.08  | | | 
% 196.08/33.08  | | Case 2:
% 196.08/33.08  | | | 
% 196.08/33.08  | | |   (47)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 196.08/33.08  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.08/33.08  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.08/33.08  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.08/33.08  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.08  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 196.08/33.08  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.08  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.08  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.08/33.08  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.08/33.08  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.08/33.08  | | |               all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) =
% 196.08/33.08  | | |           e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.08/33.08  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 196.08/33.08  | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.08/33.08  | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 196.08/33.08  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.08/33.08  | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 196.08/33.08  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.08/33.08  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.08/33.08  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.08/33.08  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 196.08/33.08  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.08  | | |               $i(all_57_13))))
% 196.08/33.08  | | | 
% 196.08/33.08  | | | BETA: splitting (47) gives:
% 196.08/33.08  | | | 
% 196.08/33.08  | | | Case 1:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | |   (48)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 196.08/33.08  | | | |                 e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 196.08/33.08  | | | |               & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 196.08/33.08  | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 196.08/33.08  | | | |           & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.08  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2
% 196.08/33.08  | | | |           & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.08/33.08  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.08/33.08  | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.08/33.08  | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 196.08/33.08  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.08/33.08  | | | |               all_57_5 & $i(all_57_5))))
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | BETA: splitting (48) gives:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | Case 1:
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | |   (49)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 196.08/33.08  | | | | |               e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 196.08/33.08  | | | | |             & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 196.08/33.08  | | | | |             ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 196.08/33.08  | | | | |         & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.08/33.08  | | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | ALPHA: (49) implies:
% 196.08/33.08  | | | | |   (50)  op(e3, e3) = e3
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | REF_CLOSE: (6), (7), (16), (50) are inconsistent by sub-proof #1957.
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | Case 2:
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | |   (51)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3,
% 196.08/33.08  | | | | |               e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3
% 196.08/33.08  | | | | |             & $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | (
% 196.08/33.08  | | | | |             ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 196.08/33.08  | | | | |         & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.08/33.08  | | | | |             op(e0, e2) = all_57_5 & $i(all_57_5)))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | ALPHA: (51) implies:
% 196.08/33.08  | | | | |   (52)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.08/33.08  | | | | |           op(e3, e2) = all_57_3 & $i(all_57_3))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | REF_CLOSE: (2), (7), (14), (52) are inconsistent by sub-proof #814.
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | End of split
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | Case 2:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | |   (53)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 196.08/33.08  | | | |                 e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 196.08/33.08  | | | |               & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 196.08/33.08  | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 196.08/33.08  | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 196.08/33.08  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0
% 196.08/33.08  | | | |           & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.08/33.08  | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.08/33.08  | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 196.08/33.08  | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 196.08/33.08  | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 196.08/33.08  | | | |               = all_57_13 & $i(all_57_13))))
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | BETA: splitting (53) gives:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | Case 1:
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | |   (54)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 196.08/33.08  | | | | |               e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 196.08/33.08  | | | | |             & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 196.08/33.08  | | | | |             ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 196.08/33.08  | | | | |         & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 196.08/33.08  | | | | |             op(e0, e1) = all_57_8 & $i(all_57_8)))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | ALPHA: (54) implies:
% 196.08/33.08  | | | | |   (55)  op(e1, e1) = e1
% 196.08/33.08  | | | | |   (56)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 196.08/33.08  | | | | |           op(e0, e1) = all_57_8 & $i(all_57_8))
% 196.08/33.08  | | | | |   (57)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.08/33.08  | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7))
% 196.08/33.08  | | | | |   (58)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.08/33.08  | | | | |           op(e3, e1) = all_57_6 & $i(all_57_6))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | REF_CLOSE: (7), (8), (9), (11), (12), (15), (16), (17), (19), (20),
% 196.08/33.08  | | | | |            (22), (55), (56), (57), (58) are inconsistent by sub-proof
% 196.08/33.08  | | | | |            #813.
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | Case 2:
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | |   (59)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3,
% 196.08/33.08  | | | | |               e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9
% 196.08/33.08  | | | | |             & $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | (
% 196.08/33.08  | | | | |             ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.08/33.08  | | | | |             $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 196.08/33.08  | | | | |             ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.08/33.08  | | | | |             $i(all_57_13)))
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | ALPHA: (59) implies:
% 196.08/33.08  | | | | |   (60)  op(e0, e0) = e0
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | | REF_CLOSE: (7), (20), (21), (60) are inconsistent by sub-proof #1945.
% 196.08/33.08  | | | | | 
% 196.08/33.08  | | | | End of split
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | End of split
% 196.08/33.08  | | | 
% 196.08/33.08  | | End of split
% 196.08/33.08  | | 
% 196.08/33.08  | End of split
% 196.08/33.08  | 
% 196.08/33.08  End of proof
% 196.08/33.08  
% 196.08/33.08  Sub-proof #813 shows that the following formulas are inconsistent:
% 196.08/33.08  ----------------------------------------------------------------
% 196.08/33.08    (1)  op(e1, e1) = e1
% 196.08/33.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.08/33.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.08/33.08    (3)  op(e2, e2) = all_4_2
% 196.08/33.08    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.08/33.08         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.08/33.08    (5)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.08/33.08           all_57_8 & $i(all_57_8))
% 196.08/33.08    (6)  op(e0, e1) = all_52_11
% 196.08/33.08    (7)   ~ (all_4_2 = e1)
% 196.08/33.08    (8)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.08/33.08           all_57_7 & $i(all_57_7))
% 196.08/33.08    (9)   ~ (all_52_8 = e2)
% 196.08/33.08    (10)  op(e3, e3) = e2
% 196.08/33.08    (11)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.08/33.08            all_57_6 & $i(all_57_6))
% 196.08/33.08    (12)   ~ (e2 = e1)
% 196.08/33.08    (13)  op(e3, e1) = all_52_8
% 196.08/33.08    (14)  op(e0, e0) = e2
% 196.08/33.08    (15)   ~ (all_52_11 = e2)
% 196.08/33.08  
% 196.08/33.08  Begin of proof
% 196.08/33.08  | 
% 196.08/33.08  | BETA: splitting (8) gives:
% 196.08/33.08  | 
% 196.08/33.08  | Case 1:
% 196.08/33.08  | | 
% 196.08/33.08  | |   (16)  all_57_12 = e1 & op(e2, e2) = e1
% 196.08/33.08  | | 
% 196.08/33.08  | | ALPHA: (16) implies:
% 196.08/33.08  | |   (17)  op(e2, e2) = e1
% 196.08/33.08  | | 
% 196.08/33.08  | | REF_CLOSE: (2), (3), (7), (17) are inconsistent by sub-proof #1969.
% 196.08/33.08  | | 
% 196.08/33.08  | Case 2:
% 196.08/33.08  | | 
% 196.08/33.08  | |   (18)   ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)
% 196.08/33.08  | | 
% 196.08/33.08  | | ALPHA: (18) implies:
% 196.08/33.08  | |   (19)   ~ (all_57_7 = e2)
% 196.08/33.08  | |   (20)  op(e2, e1) = all_57_7
% 196.08/33.08  | | 
% 196.08/33.08  | | BETA: splitting (5) gives:
% 196.08/33.08  | | 
% 196.08/33.08  | | Case 1:
% 196.08/33.08  | | | 
% 196.08/33.08  | | |   (21)  all_57_15 = e1 & op(e0, e0) = e1
% 196.08/33.08  | | | 
% 196.08/33.08  | | | ALPHA: (21) implies:
% 196.08/33.08  | | |   (22)  op(e0, e0) = e1
% 196.08/33.08  | | | 
% 196.08/33.08  | | | REF_CLOSE: (2), (12), (14), (22) are inconsistent by sub-proof #1780.
% 196.08/33.08  | | | 
% 196.08/33.08  | | Case 2:
% 196.08/33.08  | | | 
% 196.08/33.08  | | |   (23)   ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)
% 196.08/33.08  | | | 
% 196.08/33.08  | | | ALPHA: (23) implies:
% 196.08/33.08  | | |   (24)  op(e0, e1) = all_57_8
% 196.08/33.08  | | | 
% 196.08/33.08  | | | BETA: splitting (11) gives:
% 196.08/33.08  | | | 
% 196.08/33.08  | | | Case 1:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | |   (25)  all_57_10 = e1 & op(e3, e3) = e1
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | ALPHA: (25) implies:
% 196.08/33.08  | | | |   (26)  op(e3, e3) = e1
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | REF_CLOSE: (2), (10), (12), (26) are inconsistent by sub-proof #1934.
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | Case 2:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | |   (27)   ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | ALPHA: (27) implies:
% 196.08/33.08  | | | |   (28)  op(e3, e1) = all_57_6
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | BETA: splitting (4) gives:
% 196.08/33.08  | | | | 
% 196.08/33.08  | | | | Case 1:
% 196.18/33.08  | | | | | 
% 196.18/33.08  | | | | |   (29)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2,
% 196.18/33.08  | | | | |             e1) = e2)
% 196.18/33.08  | | | | | 
% 196.18/33.08  | | | | | BETA: splitting (29) gives:
% 196.18/33.08  | | | | | 
% 196.18/33.08  | | | | | Case 1:
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | |   (30)  all_56_4 = e2 & op(e3, e1) = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | ALPHA: (30) implies:
% 196.18/33.08  | | | | | |   (31)  op(e3, e1) = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | GROUND_INST: instantiating (2) with all_52_8, all_57_6, e1, e3,
% 196.18/33.08  | | | | | |              simplifying with (13), (28) gives:
% 196.18/33.08  | | | | | |   (32)  all_57_6 = all_52_8
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | GROUND_INST: instantiating (2) with e2, all_57_6, e1, e3,
% 196.18/33.08  | | | | | |              simplifying with (28), (31) gives:
% 196.18/33.08  | | | | | |   (33)  all_57_6 = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | COMBINE_EQS: (32), (33) imply:
% 196.18/33.08  | | | | | |   (34)  all_52_8 = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | REDUCE: (9), (34) imply:
% 196.18/33.08  | | | | | |   (35)  $false
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | CLOSE: (35) is inconsistent.
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | Case 2:
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | |   (36)  all_56_5 = e2 & op(e2, e1) = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | ALPHA: (36) implies:
% 196.18/33.08  | | | | | |   (37)  op(e2, e1) = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | REF_CLOSE: (2), (19), (20), (37) are inconsistent by sub-proof
% 196.18/33.08  | | | | | |            #1718.
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | End of split
% 196.18/33.08  | | | | | 
% 196.18/33.08  | | | | Case 2:
% 196.18/33.08  | | | | | 
% 196.18/33.08  | | | | |   (38)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0,
% 196.18/33.08  | | | | |             e1) = e2)
% 196.18/33.08  | | | | | 
% 196.18/33.08  | | | | | BETA: splitting (38) gives:
% 196.18/33.08  | | | | | 
% 196.18/33.08  | | | | | Case 1:
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | |   (39)  all_56_8 = e2 & op(e1, e1) = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | ALPHA: (39) implies:
% 196.18/33.08  | | | | | |   (40)  op(e1, e1) = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | REF_CLOSE: (1), (2), (12), (40) are inconsistent by sub-proof #1955.
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | Case 2:
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | |   (41)  all_56_14 = e2 & op(e0, e1) = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | ALPHA: (41) implies:
% 196.18/33.08  | | | | | |   (42)  op(e0, e1) = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | GROUND_INST: instantiating (2) with all_52_11, all_57_8, e1, e0,
% 196.18/33.08  | | | | | |              simplifying with (6), (24) gives:
% 196.18/33.08  | | | | | |   (43)  all_57_8 = all_52_11
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | GROUND_INST: instantiating (2) with e2, all_57_8, e1, e0,
% 196.18/33.08  | | | | | |              simplifying with (24), (42) gives:
% 196.18/33.08  | | | | | |   (44)  all_57_8 = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | COMBINE_EQS: (43), (44) imply:
% 196.18/33.08  | | | | | |   (45)  all_52_11 = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | SIMP: (45) implies:
% 196.18/33.08  | | | | | |   (46)  all_52_11 = e2
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | REDUCE: (15), (46) imply:
% 196.18/33.08  | | | | | |   (47)  $false
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | | CLOSE: (47) is inconsistent.
% 196.18/33.08  | | | | | | 
% 196.18/33.08  | | | | | End of split
% 196.18/33.08  | | | | | 
% 196.18/33.08  | | | | End of split
% 196.18/33.08  | | | | 
% 196.18/33.08  | | | End of split
% 196.18/33.08  | | | 
% 196.18/33.08  | | End of split
% 196.18/33.08  | | 
% 196.18/33.08  | End of split
% 196.18/33.08  | 
% 196.18/33.08  End of proof
% 196.18/33.08  
% 196.18/33.08  Sub-proof #814 shows that the following formulas are inconsistent:
% 196.18/33.08  ----------------------------------------------------------------
% 196.18/33.08    (1)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.18/33.08           all_57_3 & $i(all_57_3))
% 196.18/33.08    (2)   ~ (all_57_10 = e2)
% 196.18/33.08    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.08    (4)  op(e3, e2) = e3
% 196.18/33.08  
% 196.18/33.08  Begin of proof
% 196.18/33.08  | 
% 196.18/33.08  | BETA: splitting (1) gives:
% 196.18/33.08  | 
% 196.18/33.08  | Case 1:
% 196.18/33.08  | | 
% 196.18/33.08  | |   (5)  all_57_10 = e2 & op(e3, e3) = e2
% 196.18/33.08  | | 
% 196.18/33.08  | | ALPHA: (5) implies:
% 196.18/33.08  | |   (6)  all_57_10 = e2
% 196.18/33.08  | | 
% 196.18/33.08  | | REDUCE: (2), (6) imply:
% 196.18/33.08  | |   (7)  $false
% 196.18/33.08  | | 
% 196.18/33.08  | | CLOSE: (7) is inconsistent.
% 196.18/33.08  | | 
% 196.18/33.08  | Case 2:
% 196.18/33.08  | | 
% 196.18/33.08  | |   (8)   ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3)
% 196.18/33.08  | | 
% 196.18/33.08  | | ALPHA: (8) implies:
% 196.18/33.08  | |   (9)   ~ (all_57_3 = e3)
% 196.18/33.08  | |   (10)  op(e3, e2) = all_57_3
% 196.18/33.08  | | 
% 196.18/33.08  | | REF_CLOSE: (3), (4), (9), (10) are inconsistent by sub-proof #1889.
% 196.18/33.08  | | 
% 196.18/33.08  | End of split
% 196.18/33.08  | 
% 196.18/33.08  End of proof
% 196.18/33.08  
% 196.18/33.08  Sub-proof #815 shows that the following formulas are inconsistent:
% 196.18/33.08  ----------------------------------------------------------------
% 196.18/33.08    (1)   ~ (e3 = e2)
% 196.18/33.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.08    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.18/33.08           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.18/33.08           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.18/33.08                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.18/33.08               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.18/33.08               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.18/33.08           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.18/33.08           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.08             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.08           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.08               = all_57_1 & $i(all_57_1))))
% 196.18/33.08    (4)  op(e3, e3) = e2
% 196.18/33.08    (5)  op(e0, e0) = e2
% 196.18/33.08    (6)   ~ (e2 = e0)
% 196.18/33.08  
% 196.18/33.08  Begin of proof
% 196.18/33.08  | 
% 196.18/33.08  | BETA: splitting (3) gives:
% 196.18/33.08  | 
% 196.18/33.08  | Case 1:
% 196.18/33.08  | | 
% 196.18/33.08  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.18/33.08  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.18/33.08  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 196.18/33.08  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 196.18/33.08  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.18/33.08  | |            all_57_13 & $i(all_57_13)))
% 196.18/33.08  | | 
% 196.18/33.08  | | ALPHA: (7) implies:
% 196.18/33.08  | |   (8)  op(e3, e3) = e0
% 196.18/33.08  | | 
% 196.18/33.08  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #833.
% 196.18/33.08  | | 
% 196.18/33.08  | Case 2:
% 196.18/33.08  | | 
% 196.18/33.09  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 196.18/33.09  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.18/33.09  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.18/33.09  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.18/33.09  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 196.18/33.09  | |            & $i(all_57_1)))
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (9) implies:
% 196.18/33.09  | |   (10)  op(e0, e0) = e3
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1692.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #816 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ~ (all_52_7 = e0)
% 196.18/33.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (3)  op(e2, e2) = all_4_2
% 196.18/33.09    (4)  op(e0, e3) = all_52_3
% 196.18/33.09    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.18/33.09             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.09           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.18/33.09           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.18/33.09             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.18/33.09           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.18/33.09           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.18/33.09    (6)   ~ (all_4_2 = e3)
% 196.18/33.09    (7)   ~ (all_52_3 = e0)
% 196.18/33.09    (8)  op(e0, e2) = all_52_7
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (5) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (9)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.18/33.09  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.09  | |        $i(all_57_0)
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (9) implies:
% 196.18/33.09  | |   (10)  op(e2, e2) = e3
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1975.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (11)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 196.18/33.09  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 196.18/33.09  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.18/33.09  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.18/33.09  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (1), (2), (4), (7), (8), (11) are inconsistent by sub-proof #817.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #817 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ~ (all_52_7 = e0)
% 196.18/33.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (3)  op(e0, e3) = all_52_3
% 196.18/33.09    (4)   ~ (all_52_3 = e0)
% 196.18/33.09    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.18/33.09             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.18/33.09           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 196.18/33.09           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.18/33.09             e2) = e0 & $i(all_57_3))
% 196.18/33.09    (6)  op(e0, e2) = all_52_7
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (5) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.18/33.09  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.18/33.09  | |        $i(all_57_1)
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (7) implies:
% 196.18/33.09  | |   (8)  op(e0, e3) = e0
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1935.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.18/33.09  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.18/33.09  | |        $i(all_57_3)
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (9) implies:
% 196.18/33.09  | |   (10)  op(e0, e2) = e0
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #818.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #818 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (2)  op(e0, e2) = all_52_7
% 196.18/33.09    (3)  op(e0, e2) = e0
% 196.18/33.09    (4)   ~ (all_52_7 = e0)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | GROUND_INST: instantiating (1) with all_52_7, e0, e2, e0, simplifying with
% 196.18/33.09  |              (2), (3) gives:
% 196.18/33.09  |   (5)  all_52_7 = e0
% 196.18/33.09  | 
% 196.18/33.09  | REDUCE: (4), (5) imply:
% 196.18/33.09  |   (6)  $false
% 196.18/33.09  | 
% 196.18/33.09  | CLOSE: (6) is inconsistent.
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #819 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 196.18/33.09             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 196.18/33.09           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.18/33.09         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 196.18/33.09             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 196.18/33.09           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 196.18/33.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (3)  op(e3, e3) = e2
% 196.18/33.09    (4)   ~ (e2 = e0)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (1) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (5)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 196.18/33.09  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 196.18/33.09  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (5) implies:
% 196.18/33.09  | |   (6)  op(e3, e3) = e0
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #833.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (7)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 196.18/33.09  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 196.18/33.09  | |        all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (7) implies:
% 196.18/33.09  | |   (8)  op(e3, e3) = e0
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #833.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #820 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)  all_56_9 = e1 & op(e3, e0) = e1
% 196.18/33.09    (2)  all_56_9 = e3
% 196.18/33.09    (3)   ~ (e3 = e1)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | ALPHA: (1) implies:
% 196.18/33.09  |   (4)  all_56_9 = e1
% 196.18/33.09  | 
% 196.18/33.09  | COMBINE_EQS: (2), (4) imply:
% 196.18/33.09  |   (5)  e3 = e1
% 196.18/33.09  | 
% 196.18/33.09  | SIMP: (5) implies:
% 196.18/33.09  |   (6)  e3 = e1
% 196.18/33.09  | 
% 196.18/33.09  | REDUCE: (3), (6) imply:
% 196.18/33.09  |   (7)  $false
% 196.18/33.09  | 
% 196.18/33.09  | CLOSE: (7) is inconsistent.
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #821 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.18/33.09    (2)   ~ (all_52_13 = e2)
% 196.18/33.09    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (4)  op(e2, e0) = all_52_13
% 196.18/33.09    (5)  op(e2, e1) = all_57_7
% 196.18/33.09    (6)   ~ (all_57_7 = e2)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (1) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (7)  all_56_5 = e2 & op(e2, e1) = e2
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (7) implies:
% 196.18/33.09  | |   (8)  op(e2, e1) = e2
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1718.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (9)  all_56_10 = e2 & op(e2, e0) = e2
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (9) implies:
% 196.18/33.09  | |   (10)  op(e2, e0) = e2
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1662.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #822 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)  all_56_1 = e1
% 196.18/33.09    (2)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.18/33.09         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.18/33.09    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (4)  all_56_13 = e2
% 196.18/33.09    (5)  all_56_7 = e3
% 196.18/33.09    (6)   ~ (e1 = e0)
% 196.18/33.09    (7)  all_56_3 = e2 & op(e2, e2) = e2
% 196.18/33.09    (8)   ~ (e2 = e0)
% 196.18/33.09    (9)   ~ (e3 = e0)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | ALPHA: (7) implies:
% 196.18/33.09  |   (10)  op(e2, e2) = e2
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (2) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (11)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 196.18/33.09  | |           e0)
% 196.18/33.09  | | 
% 196.18/33.09  | | BETA: splitting (11) gives:
% 196.18/33.09  | | 
% 196.18/33.09  | | Case 1:
% 196.18/33.09  | | | 
% 196.18/33.09  | | |   (12)  all_56_1 = e0 & op(e3, e2) = e0
% 196.18/33.09  | | | 
% 196.18/33.09  | | | ALPHA: (12) implies:
% 196.18/33.09  | | |   (13)  all_56_1 = e0
% 196.18/33.09  | | | 
% 196.18/33.09  | | | REF_CLOSE: (1), (6), (13) are inconsistent by sub-proof #1628.
% 196.18/33.09  | | | 
% 196.18/33.09  | | Case 2:
% 196.18/33.09  | | | 
% 196.18/33.09  | | |   (14)  all_56_3 = e0 & op(e2, e2) = e0
% 196.18/33.09  | | | 
% 196.18/33.09  | | | ALPHA: (14) implies:
% 196.18/33.09  | | |   (15)  op(e2, e2) = e0
% 196.18/33.09  | | | 
% 196.18/33.09  | | | REF_CLOSE: (3), (8), (10), (15) are inconsistent by sub-proof #1939.
% 196.18/33.09  | | | 
% 196.18/33.09  | | End of split
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (16)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.18/33.09  | |           e0)
% 196.18/33.09  | | 
% 196.18/33.09  | | BETA: splitting (16) gives:
% 196.18/33.09  | | 
% 196.18/33.09  | | Case 1:
% 196.18/33.09  | | | 
% 196.18/33.09  | | |   (17)  all_56_7 = e0 & op(e1, e2) = e0
% 196.18/33.09  | | | 
% 196.18/33.09  | | | REF_CLOSE: (5), (9), (17) are inconsistent by sub-proof #1775.
% 196.18/33.09  | | | 
% 196.18/33.09  | | Case 2:
% 196.18/33.09  | | | 
% 196.18/33.09  | | |   (18)  all_56_13 = e0 & op(e0, e2) = e0
% 196.18/33.09  | | | 
% 196.18/33.09  | | | REF_CLOSE: (4), (8), (18) are inconsistent by sub-proof #1208.
% 196.18/33.09  | | | 
% 196.18/33.09  | | End of split
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #823 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (2)  op(e1, e2) = e3
% 196.18/33.09    (3)  op(e1, e2) = e2
% 196.18/33.09    (4)   ~ (e3 = e2)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | GROUND_INST: instantiating (1) with e2, e3, e2, e1, simplifying with (2), (3)
% 196.18/33.09  |              gives:
% 196.18/33.09  |   (5)  e3 = e2
% 196.18/33.09  | 
% 196.18/33.09  | REDUCE: (4), (5) imply:
% 196.18/33.09  |   (6)  $false
% 196.18/33.09  | 
% 196.18/33.09  | CLOSE: (6) is inconsistent.
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #824 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 196.18/33.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (3)  op(e3, e2) = all_52_4
% 196.18/33.09    (4)   ~ (all_52_4 = e2)
% 196.18/33.09    (5)  op(e2, e2) = e0
% 196.18/33.09    (6)   ~ (e2 = e0)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (1) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (7) implies:
% 196.18/33.09  | |   (8)  op(e3, e2) = e2
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #825.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (9) implies:
% 196.18/33.09  | |   (10)  op(e2, e2) = e2
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1939.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #825 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (2)  op(e3, e2) = all_52_4
% 196.18/33.09    (3)  op(e3, e2) = e2
% 196.18/33.09    (4)   ~ (all_52_4 = e2)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | GROUND_INST: instantiating (1) with all_52_4, e2, e2, e3, simplifying with
% 196.18/33.09  |              (2), (3) gives:
% 196.18/33.09  |   (5)  all_52_4 = e2
% 196.18/33.09  | 
% 196.18/33.09  | REDUCE: (4), (5) imply:
% 196.18/33.09  |   (6)  $false
% 196.18/33.09  | 
% 196.18/33.09  | CLOSE: (6) is inconsistent.
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #826 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ~ (all_52_4 = e3)
% 196.18/33.09    (2)   ~ (e3 = e2)
% 196.18/33.09    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (4)  op(e3, e2) = all_52_4
% 196.18/33.09    (5)  op(e3, e3) = e2
% 196.18/33.09    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (6) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (7) implies:
% 196.18/33.09  | |   (8)  op(e3, e3) = e3
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1957.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (9)  all_56_1 = e3 & op(e3, e2) = e3
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (9) implies:
% 196.18/33.09  | |   (10)  op(e3, e2) = e3
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1972.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #827 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ~ (e3 = e2)
% 196.18/33.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (3)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.09             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.09           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.09               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.09             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.09         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.18/33.09             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.09           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.18/33.09               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.18/33.09             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.18/33.09    (4)  op(e3, e3) = e2
% 196.18/33.09    (5)  op(e2, e2) = e0
% 196.18/33.09    (6)   ~ (e2 = e0)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (3) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (7)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 196.18/33.09  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.18/33.09  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.09  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.18/33.09  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.18/33.09  | |              e3) = all_57_2 & $i(all_57_2)))
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (7) implies:
% 196.18/33.09  | |   (8)  op(e3, e3) = e3
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1957.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (9)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 196.18/33.09  | |            e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.18/33.09  | |            $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.18/33.09  | |            (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.18/33.09  | |        ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.18/33.09  | |              e2) = all_57_5 & $i(all_57_5)))
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (9) implies:
% 196.18/33.09  | |   (10)  op(e2, e2) = e2
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1939.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #828 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ~ (all_52_14 = e0)
% 196.18/33.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (3)  all_57_9 = e3
% 196.18/33.09    (4)  op(e1, e0) = all_52_14
% 196.18/33.09    (5)  op(e3, e3) = e2
% 196.18/33.09    (6)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.18/33.09           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.18/33.09           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.18/33.09                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.18/33.09               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.18/33.09               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 196.18/33.09           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 196.18/33.09             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.18/33.09               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.18/33.09           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.18/33.09               = all_57_7 & $i(all_57_7))))
% 196.18/33.09    (7)   ~ (e2 = e0)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (6) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (8)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.18/33.09  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.18/33.09  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.18/33.09  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 196.18/33.09  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.18/33.09  | |            all_57_11 & $i(all_57_11)))
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (8) implies:
% 196.18/33.09  | |   (9)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 196.18/33.09  | |          = all_57_9 & $i(all_57_9))
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (3), (5), (7), (9) are inconsistent by sub-proof #829.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (10)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.18/33.09  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.18/33.09  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 196.18/33.09  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 196.18/33.09  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.18/33.09  | |             all_57_7 & $i(all_57_7)))
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (10) implies:
% 196.18/33.09  | |   (11)  op(e1, e0) = e0
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (1), (2), (4), (11) are inconsistent by sub-proof #1884.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #829 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (2)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 196.18/33.09           all_57_9 & $i(all_57_9))
% 196.18/33.09    (3)  all_57_9 = e3
% 196.18/33.09    (4)  op(e3, e3) = e2
% 196.18/33.09    (5)   ~ (e2 = e0)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (2) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (6)  all_57_10 = e0 & op(e3, e3) = e0
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (6) implies:
% 196.18/33.09  | |   (7)  op(e3, e3) = e0
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #833.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (8)   ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (8) implies:
% 196.18/33.09  | |   (9)   ~ (all_57_9 = e3)
% 196.18/33.09  | | 
% 196.18/33.09  | | REDUCE: (3), (9) imply:
% 196.18/33.09  | |   (10)  $false
% 196.18/33.09  | | 
% 196.18/33.09  | | CLOSE: (10) is inconsistent.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #830 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (2)  op(e0, e3) = all_52_3
% 196.18/33.09    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.18/33.09           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.18/33.09           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.18/33.09                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.18/33.09               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.18/33.09               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.18/33.09           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.18/33.09           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.09             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.09           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.09               = all_57_1 & $i(all_57_1))))
% 196.18/33.09    (4)  op(e3, e3) = e2
% 196.18/33.09    (5)   ~ (all_52_3 = e0)
% 196.18/33.09    (6)   ~ (e2 = e0)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (3) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.18/33.09  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.18/33.09  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 196.18/33.09  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 196.18/33.09  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.18/33.09  | |            all_57_13 & $i(all_57_13)))
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (7) implies:
% 196.18/33.09  | |   (8)  op(e3, e3) = e0
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #833.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 196.18/33.09  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.18/33.09  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.18/33.09  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.18/33.09  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 196.18/33.09  | |            & $i(all_57_1)))
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (9) implies:
% 196.18/33.09  | |   (10)  op(e0, e3) = e0
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1935.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #831 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)  op(e1, e3) = all_52_2
% 196.18/33.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (3)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.18/33.09           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.18/33.09           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.18/33.09                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 196.18/33.09               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.18/33.09               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.18/33.09           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 196.18/33.09           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.18/33.09               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.09           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.18/33.09               = all_57_2 & $i(all_57_2))))
% 196.18/33.09    (4)  op(e3, e3) = e2
% 196.18/33.09    (5)   ~ (e2 = e1)
% 196.18/33.09    (6)   ~ (all_52_2 = e1)
% 196.18/33.09  
% 196.18/33.09  Begin of proof
% 196.18/33.09  | 
% 196.18/33.09  | BETA: splitting (3) gives:
% 196.18/33.09  | 
% 196.18/33.09  | Case 1:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.18/33.09  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.18/33.09  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.18/33.09  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 196.18/33.09  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 196.18/33.09  | |            & $i(all_57_8)))
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (7) implies:
% 196.18/33.09  | |   (8)  op(e3, e3) = e1
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1934.
% 196.18/33.09  | | 
% 196.18/33.09  | Case 2:
% 196.18/33.09  | | 
% 196.18/33.09  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.18/33.09  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.18/33.09  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.18/33.09  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.18/33.09  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 196.18/33.09  | |            & $i(all_57_2)))
% 196.18/33.09  | | 
% 196.18/33.09  | | ALPHA: (9) implies:
% 196.18/33.09  | |   (10)  op(e1, e3) = e1
% 196.18/33.09  | | 
% 196.18/33.09  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1974.
% 196.18/33.09  | | 
% 196.18/33.09  | End of split
% 196.18/33.09  | 
% 196.18/33.09  End of proof
% 196.18/33.09  
% 196.18/33.09  Sub-proof #832 shows that the following formulas are inconsistent:
% 196.18/33.09  ----------------------------------------------------------------
% 196.18/33.09    (1)   ~ (all_52_13 = e3)
% 196.18/33.09    (2)   ~ (e3 = e2)
% 196.18/33.09    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.09    (4)  op(e2, e2) = all_4_2
% 196.18/33.09    (5)  op(e2, e0) = all_52_13
% 196.18/33.09    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 196.18/33.09    (7)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.18/33.09           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.18/33.09             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.18/33.09    (8)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.09         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.18/33.09    (9)   ~ (all_4_2 = e3)
% 196.18/33.09    (10)  op(e3, e3) = e2
% 196.18/33.09    (11)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.18/33.10          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.18/33.10    (12)   ~ (e1 = e0)
% 196.18/33.10    (13)  all_36_2 = e0
% 196.18/33.10    (14)   ~ (e2 = e1)
% 196.18/33.10    (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.10          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.18/33.10    (16)  op(e2, e2) = e0
% 196.18/33.10    (17)   ~ (e3 = e1)
% 196.18/33.10    (18)   ~ (e2 = e0)
% 196.18/33.10    (19)   ~ (e3 = e0)
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | BETA: splitting (6) gives:
% 196.18/33.10  | 
% 196.18/33.10  | Case 1:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (20)  all_56_0 = e0 & op(e3, e3) = e0
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (20) implies:
% 196.18/33.10  | |   (21)  op(e3, e3) = e0
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (3), (10), (18), (21) are inconsistent by sub-proof #833.
% 196.18/33.10  | | 
% 196.18/33.10  | Case 2:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (22)  all_56_2 = e0 & op(e2, e3) = e0
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (22) implies:
% 196.18/33.10  | |   (23)  all_56_2 = e0
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (12), (13), (14),
% 196.18/33.10  | |            (15), (16), (17), (18), (19), (23) are inconsistent by sub-proof
% 196.18/33.10  | |            #1213.
% 196.18/33.10  | | 
% 196.18/33.10  | End of split
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #833 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.10    (2)  op(e3, e3) = e2
% 196.18/33.10    (3)  op(e3, e3) = e0
% 196.18/33.10    (4)   ~ (e2 = e0)
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | GROUND_INST: instantiating (1) with e2, e0, e3, e3, simplifying with (2), (3)
% 196.18/33.10  |              gives:
% 196.18/33.10  |   (5)  e2 = e0
% 196.18/33.10  | 
% 196.18/33.10  | REDUCE: (4), (5) imply:
% 196.18/33.10  |   (6)  $false
% 196.18/33.10  | 
% 196.18/33.10  | CLOSE: (6) is inconsistent.
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #834 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)   ~ (e3 = e2)
% 196.18/33.10    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.10    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.10         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.10    (4)  all_56_11 = e3
% 196.18/33.10    (5)  op(e1, e3) = all_30_1
% 196.18/33.10    (6)  all_56_6 = e1
% 196.18/33.10    (7)   ~ (all_30_1 = e0)
% 196.18/33.10    (8)   ~ (e2 = e1)
% 196.18/33.10    (9)  op(e1, e3) = all_20_1
% 196.18/33.10    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.10          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.10    (11)  op(e1, e1) = e3
% 196.18/33.10    (12)   ~ (e2 = e0)
% 196.18/33.10    (13)   ~ (e3 = e0)
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | BETA: splitting (10) gives:
% 196.18/33.10  | 
% 196.18/33.10  | Case 1:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 196.18/33.10  | |           e2)
% 196.18/33.10  | | 
% 196.18/33.10  | | BETA: splitting (14) gives:
% 196.18/33.10  | | 
% 196.18/33.10  | | Case 1:
% 196.18/33.10  | | | 
% 196.18/33.10  | | |   (15)  all_56_6 = e2 & op(e1, e3) = e2
% 196.18/33.10  | | | 
% 196.18/33.10  | | | REF_CLOSE: (6), (8), (15) are inconsistent by sub-proof #1331.
% 196.18/33.10  | | | 
% 196.18/33.10  | | Case 2:
% 196.18/33.10  | | | 
% 196.18/33.10  | | |   (16)  all_56_7 = e2 & op(e1, e2) = e2
% 196.18/33.10  | | | 
% 196.18/33.10  | | | ALPHA: (16) implies:
% 196.18/33.10  | | |   (17)  all_56_7 = e2
% 196.18/33.10  | | | 
% 196.18/33.10  | | | BETA: splitting (3) gives:
% 196.18/33.10  | | | 
% 196.18/33.10  | | | Case 1:
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | |   (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2)
% 196.18/33.10  | | | |           = e0)
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | BETA: splitting (18) gives:
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | Case 1:
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | |   (19)  all_56_6 = e0 & op(e1, e3) = e0
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | | ALPHA: (19) implies:
% 196.18/33.10  | | | | |   (20)  op(e1, e3) = e0
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | | REF_CLOSE: (2), (5), (7), (9), (20) are inconsistent by sub-proof
% 196.18/33.10  | | | | |            #1288.
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | Case 2:
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | |   (21)  all_56_7 = e0 & op(e1, e2) = e0
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | | REF_CLOSE: (12), (17), (21) are inconsistent by sub-proof #873.
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | End of split
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | Case 2:
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | |   (22)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.18/33.10  | | | |           = e0)
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | REF_CLOSE: (2), (4), (11), (13), (22) are inconsistent by sub-proof
% 196.18/33.10  | | | |            #837.
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | End of split
% 196.18/33.10  | | | 
% 196.18/33.10  | | End of split
% 196.18/33.10  | | 
% 196.18/33.10  | Case 2:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (23)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 196.18/33.10  | |           e2)
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (1), (2), (4), (11), (23) are inconsistent by sub-proof #836.
% 196.18/33.10  | | 
% 196.18/33.10  | End of split
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #835 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)   ~ (e3 = e2)
% 196.18/33.10    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.10    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.10         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.10    (4)   ~ (e1 = e0)
% 196.18/33.10    (5)  all_56_6 = e1
% 196.18/33.10    (6)   ~ (e2 = e1)
% 196.18/33.10    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.10         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.10    (8)  op(e1, e1) = e3
% 196.18/33.10    (9)   ~ (e2 = e0)
% 196.18/33.10    (10)  all_56_11 = e3 & op(e1, e0) = e3
% 196.18/33.10    (11)   ~ (e3 = e0)
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | ALPHA: (10) implies:
% 196.18/33.10  |   (12)  all_56_11 = e3
% 196.18/33.10  | 
% 196.18/33.10  | BETA: splitting (7) gives:
% 196.18/33.10  | 
% 196.18/33.10  | Case 1:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 196.18/33.10  | |           e2)
% 196.18/33.10  | | 
% 196.18/33.10  | | BETA: splitting (13) gives:
% 196.18/33.10  | | 
% 196.18/33.10  | | Case 1:
% 196.18/33.10  | | | 
% 196.18/33.10  | | |   (14)  all_56_6 = e2 & op(e1, e3) = e2
% 196.18/33.10  | | | 
% 196.18/33.10  | | | REF_CLOSE: (5), (6), (14) are inconsistent by sub-proof #1331.
% 196.18/33.10  | | | 
% 196.18/33.10  | | Case 2:
% 196.18/33.10  | | | 
% 196.18/33.10  | | |   (15)  all_56_7 = e2 & op(e1, e2) = e2
% 196.18/33.10  | | | 
% 196.18/33.10  | | | ALPHA: (15) implies:
% 196.18/33.10  | | |   (16)  all_56_7 = e2
% 196.18/33.10  | | | 
% 196.18/33.10  | | | BETA: splitting (3) gives:
% 196.18/33.10  | | | 
% 196.18/33.10  | | | Case 1:
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | |   (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2)
% 196.18/33.10  | | | |           = e0)
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | BETA: splitting (17) gives:
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | Case 1:
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | |   (18)  all_56_6 = e0 & op(e1, e3) = e0
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | | ALPHA: (18) implies:
% 196.18/33.10  | | | | |   (19)  all_56_6 = e0
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | | REF_CLOSE: (4), (5), (19) are inconsistent by sub-proof #1565.
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | Case 2:
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | |   (20)  all_56_7 = e0 & op(e1, e2) = e0
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | | REF_CLOSE: (9), (16), (20) are inconsistent by sub-proof #873.
% 196.18/33.10  | | | | | 
% 196.18/33.10  | | | | End of split
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | Case 2:
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | |   (21)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.18/33.10  | | | |           = e0)
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | REF_CLOSE: (2), (8), (11), (12), (21) are inconsistent by sub-proof
% 196.18/33.10  | | | |            #837.
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | End of split
% 196.18/33.10  | | | 
% 196.18/33.10  | | End of split
% 196.18/33.10  | | 
% 196.18/33.10  | Case 2:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (22)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 196.18/33.10  | |           e2)
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (1), (2), (8), (12), (22) are inconsistent by sub-proof #836.
% 196.18/33.10  | | 
% 196.18/33.10  | End of split
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #836 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)   ~ (e3 = e2)
% 196.18/33.10    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.10    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.10    (4)  all_56_11 = e3
% 196.18/33.10    (5)  op(e1, e1) = e3
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | BETA: splitting (3) gives:
% 196.18/33.10  | 
% 196.18/33.10  | Case 1:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (6)  all_56_8 = e2 & op(e1, e1) = e2
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (6) implies:
% 196.18/33.10  | |   (7)  op(e1, e1) = e2
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1777.
% 196.18/33.10  | | 
% 196.18/33.10  | Case 2:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (8)  all_56_11 = e2 & op(e1, e0) = e2
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (8) implies:
% 196.18/33.10  | |   (9)  all_56_11 = e2
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #1619.
% 196.18/33.10  | | 
% 196.18/33.10  | End of split
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #837 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.10    (2)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.10    (3)  all_56_11 = e3
% 196.18/33.10    (4)  op(e1, e1) = e3
% 196.18/33.10    (5)   ~ (e3 = e0)
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | BETA: splitting (2) gives:
% 196.18/33.10  | 
% 196.18/33.10  | Case 1:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (6)  all_56_8 = e0 & op(e1, e1) = e0
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (6) implies:
% 196.18/33.10  | |   (7)  op(e1, e1) = e0
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1824.
% 196.18/33.10  | | 
% 196.18/33.10  | Case 2:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (8)  all_56_11 = e0 & op(e1, e0) = e0
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (8) implies:
% 196.18/33.10  | |   (9)  all_56_11 = e0
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #958.
% 196.18/33.10  | | 
% 196.18/33.10  | End of split
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #838 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)  op(e0, e0) = e1
% 196.18/33.10    (2)   ~ (e3 = e2)
% 196.18/33.10    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.10    (4)  op(e2, e0) = e3
% 196.18/33.10    (5)  op(e2, e2) = e1
% 196.18/33.10    (6)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) = all_20_1
% 196.18/33.10           & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1, e3) =
% 196.18/33.10           all_20_1 & $i(all_20_1))
% 196.18/33.10    (7)  op(e2, e0) = all_52_13
% 196.18/33.10    (8)  op(e0, e0) = all_57_15
% 196.18/33.10    (9)   ~ (all_52_13 = e1)
% 196.18/33.10    (10)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.18/33.10              e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.10            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.18/33.10             ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.18/33.10              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.18/33.10            (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.18/33.10            all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.18/33.10            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 196.18/33.10            = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.18/33.10          (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.18/33.10              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.18/33.10            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 196.18/33.10             ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.18/33.10              e1) = e0 & $i(all_57_7))
% 196.18/33.10    (11)  op(e1, e3) = e1
% 196.18/33.10    (12)  op(e3, e3) = e3
% 196.18/33.10    (13)  op(e1, e3) = all_30_1
% 196.18/33.10    (14)  op(e1, e1) = e3
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | BETA: splitting (6) gives:
% 196.18/33.10  | 
% 196.18/33.10  | Case 1:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (15)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) =
% 196.18/33.10  | |         all_20_1 & $i(all_20_0) & $i(all_20_1)
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (15) implies:
% 196.18/33.10  | |   (16)  op(e1, e3) = all_20_1
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 196.18/33.10  | |            (14), (16) are inconsistent by sub-proof #839.
% 196.18/33.10  | | 
% 196.18/33.10  | Case 2:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (17)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 & $i(all_20_1)
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (17) implies:
% 196.18/33.10  | |   (18)  op(e1, e3) = all_20_1
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 196.18/33.10  | |            (14), (18) are inconsistent by sub-proof #839.
% 196.18/33.10  | | 
% 196.18/33.10  | End of split
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #839 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)  op(e0, e0) = e1
% 196.18/33.10    (2)   ~ (e3 = e2)
% 196.18/33.10    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.10    (4)  op(e2, e0) = e3
% 196.18/33.10    (5)  op(e2, e2) = e1
% 196.18/33.10    (6)  op(e2, e0) = all_52_13
% 196.18/33.10    (7)  op(e0, e0) = all_57_15
% 196.18/33.10    (8)   ~ (all_52_13 = e1)
% 196.18/33.10    (9)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.18/33.10             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.10           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.18/33.10           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.18/33.10             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.18/33.10           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.18/33.10           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.18/33.10           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 196.18/33.10           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.18/33.10           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 196.18/33.10           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.18/33.10         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.18/33.10             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.18/33.10           $i(all_57_7))
% 196.18/33.10    (10)  op(e1, e3) = e1
% 196.18/33.10    (11)  op(e3, e3) = e3
% 196.18/33.10    (12)  op(e1, e3) = all_30_1
% 196.18/33.10    (13)  op(e1, e3) = all_20_1
% 196.18/33.10    (14)  op(e1, e1) = e3
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | GROUND_INST: instantiating (3) with e1, all_57_15, e0, e0, simplifying with
% 196.18/33.10  |              (1), (7) gives:
% 196.18/33.10  |   (15)  all_57_15 = e1
% 196.18/33.10  | 
% 196.18/33.10  | GROUND_INST: instantiating (3) with e1, all_30_1, e3, e1, simplifying with
% 196.18/33.10  |              (10), (12) gives:
% 196.18/33.10  |   (16)  all_30_1 = e1
% 196.18/33.10  | 
% 196.18/33.10  | GROUND_INST: instantiating (3) with all_20_1, all_30_1, e3, e1, simplifying
% 196.18/33.10  |              with (12), (13) gives:
% 196.18/33.10  |   (17)  all_30_1 = all_20_1
% 196.18/33.10  | 
% 196.18/33.10  | GROUND_INST: instantiating (3) with all_52_13, e3, e0, e2, simplifying with
% 196.18/33.10  |              (4), (6) gives:
% 196.18/33.10  |   (18)  all_52_13 = e3
% 196.18/33.10  | 
% 196.18/33.10  | COMBINE_EQS: (16), (17) imply:
% 196.18/33.10  |   (19)  all_20_1 = e1
% 196.18/33.10  | 
% 196.18/33.10  | REDUCE: (8), (18) imply:
% 196.18/33.10  |   (20)   ~ (e3 = e1)
% 196.18/33.10  | 
% 196.18/33.10  | BETA: splitting (9) gives:
% 196.18/33.10  | 
% 196.18/33.10  | Case 1:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (21)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 196.18/33.10  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 196.18/33.10  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.18/33.10  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.18/33.10  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 196.18/33.10  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.18/33.10  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.18/33.10  | |           $i(all_57_3))
% 196.18/33.10  | | 
% 196.18/33.10  | | BETA: splitting (21) gives:
% 196.18/33.10  | | 
% 196.18/33.10  | | Case 1:
% 196.18/33.10  | | | 
% 196.18/33.10  | | |   (22)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.18/33.10  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.18/33.10  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 196.18/33.10  | | | 
% 196.18/33.10  | | | ALPHA: (22) implies:
% 196.18/33.10  | | |   (23)  op(e2, e2) = e3
% 196.18/33.10  | | | 
% 196.18/33.10  | | | REF_CLOSE: (3), (5), (20), (23) are inconsistent by sub-proof #1679.
% 196.18/33.10  | | | 
% 196.18/33.10  | | Case 2:
% 196.18/33.10  | | | 
% 196.18/33.10  | | |   (24)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.18/33.10  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.18/33.10  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.18/33.10  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.18/33.10  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.18/33.10  | | | 
% 196.18/33.10  | | | REF_CLOSE: (2), (3), (10), (11), (24) are inconsistent by sub-proof #923.
% 196.18/33.10  | | | 
% 196.18/33.10  | | End of split
% 196.18/33.10  | | 
% 196.18/33.10  | Case 2:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (25)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.18/33.10  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.18/33.10  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.18/33.10  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.18/33.10  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.18/33.10  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.18/33.10  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.18/33.10  | |           $i(all_57_7))
% 196.18/33.10  | | 
% 196.18/33.10  | | BETA: splitting (25) gives:
% 196.18/33.10  | | 
% 196.18/33.10  | | Case 1:
% 196.18/33.10  | | | 
% 196.18/33.10  | | |   (26)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.18/33.10  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.18/33.10  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 196.18/33.10  | | | 
% 196.18/33.10  | | | ALPHA: (26) implies:
% 196.18/33.10  | | |   (27)  op(e1, e1) = e2
% 196.18/33.10  | | | 
% 196.18/33.10  | | | REF_CLOSE: (2), (3), (14), (27) are inconsistent by sub-proof #1777.
% 196.18/33.10  | | | 
% 196.18/33.10  | | Case 2:
% 196.18/33.10  | | | 
% 196.18/33.10  | | |   (28)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.18/33.10  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.18/33.10  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.18/33.10  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.18/33.10  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.18/33.10  | | | 
% 196.18/33.10  | | | BETA: splitting (28) gives:
% 196.18/33.10  | | | 
% 196.18/33.10  | | | Case 1:
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | |   (29)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.18/33.10  | | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.18/33.10  | | | |         op(e0, e1) = e0 & $i(all_57_6)
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | ALPHA: (29) implies:
% 196.18/33.10  | | | |   (30)  op(e3, e3) = e1
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | REF_CLOSE: (3), (11), (20), (30) are inconsistent by sub-proof #1966.
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | Case 2:
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | |   (31)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.18/33.10  | | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.18/33.10  | | | |         op(e0, e1) = e0 & $i(all_57_7)
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | ALPHA: (31) implies:
% 196.18/33.10  | | | |   (32)   ~ (all_57_15 = e1)
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | REDUCE: (15), (32) imply:
% 196.18/33.10  | | | |   (33)  $false
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | | CLOSE: (33) is inconsistent.
% 196.18/33.10  | | | | 
% 196.18/33.10  | | | End of split
% 196.18/33.10  | | | 
% 196.18/33.10  | | End of split
% 196.18/33.10  | | 
% 196.18/33.10  | End of split
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #840 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 196.18/33.10             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.18/33.10           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 196.18/33.10           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.18/33.10           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 196.18/33.10           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.18/33.10           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 196.18/33.10           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.18/33.10           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.18/33.10    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.10    (3)  op(e2, e2) = e1
% 196.18/33.10    (4)   ~ (e1 = e0)
% 196.18/33.10    (5)  op(e1, e1) = e3
% 196.18/33.10    (6)   ~ (e3 = e0)
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | BETA: splitting (1) gives:
% 196.18/33.10  | 
% 196.18/33.10  | Case 1:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (7)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 196.18/33.10  | |          e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.18/33.10  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (7) implies:
% 196.18/33.10  | |   (8)   ~ (all_57_12 = e1)
% 196.18/33.10  | |   (9)  op(e2, e2) = all_57_12
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (2), (3), (8), (9) are inconsistent by sub-proof #1890.
% 196.18/33.10  | | 
% 196.18/33.10  | Case 2:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (10)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.18/33.10  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.18/33.10  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.18/33.10  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 196.18/33.10  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 196.18/33.10  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.18/33.10  | |           $i(all_57_13))
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (2), (3), (4), (5), (6), (10) are inconsistent by sub-proof #841.
% 196.18/33.10  | | 
% 196.18/33.10  | End of split
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #841 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.10    (2)  op(e2, e2) = e1
% 196.18/33.10    (3)   ~ (e1 = e0)
% 196.18/33.10    (4)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 196.18/33.10             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.18/33.10           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 196.18/33.10           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.18/33.10           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 196.18/33.10           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.18/33.10    (5)  op(e1, e1) = e3
% 196.18/33.10    (6)   ~ (e3 = e0)
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | BETA: splitting (4) gives:
% 196.18/33.10  | 
% 196.18/33.10  | Case 1:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (7)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 196.18/33.10  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 196.18/33.10  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (7) implies:
% 196.18/33.10  | |   (8)  op(e2, e2) = e0
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1909.
% 196.18/33.10  | | 
% 196.18/33.10  | Case 2:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (9)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 196.18/33.10  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 196.18/33.10  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (9) implies:
% 196.18/33.10  | |   (10)  op(e1, e1) = e0
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (1), (5), (6), (10) are inconsistent by sub-proof #1824.
% 196.18/33.10  | | 
% 196.18/33.10  | End of split
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #842 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.18/33.10         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.18/33.10    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.10         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.10    (3)  all_54_2 = all_52_8
% 196.18/33.10    (4)   ~ (e3 = e2)
% 196.18/33.10    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.10    (6)  op(e2, e1) = e1
% 196.18/33.10    (7)  op(e2, e2) = all_4_2
% 196.18/33.10    (8)  all_56_7 = e1
% 196.18/33.10    (9)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.10         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.10    (10)  all_56_13 = e2
% 196.18/33.10    (11)  op(e1, e0) = all_52_14
% 196.18/33.10    (12)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.10          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.10    (13)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.10          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.10    (14)   ~ (all_52_8 = e1)
% 196.18/33.10    (15)  op(e0, e1) = all_52_11
% 196.18/33.10    (16)   ~ (all_52_14 = e1)
% 196.18/33.10    (17)   ~ (all_4_2 = e3)
% 196.18/33.10    (18)   ~ (all_52_8 = e2)
% 196.18/33.10    (19)  all_56_5 = e1
% 196.18/33.10    (20)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.18/33.10    (21)   ~ (e1 = e0)
% 196.18/33.10    (22)   ~ (all_52_8 = all_52_11)
% 196.18/33.10    (23)   ~ (e2 = e1)
% 196.18/33.10    (24)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 196.18/33.10    (25)  op(e2, e2) = e0
% 196.18/33.10    (26)   ~ (e3 = e1)
% 196.18/33.10    (27)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.10          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.10    (28)  op(e1, e1) = e3
% 196.18/33.10    (29)   ~ (e2 = e0)
% 196.18/33.10    (30)   ~ (e3 = e0)
% 196.18/33.10  
% 196.18/33.10  Begin of proof
% 196.18/33.10  | 
% 196.18/33.10  | BETA: splitting (24) gives:
% 196.18/33.10  | 
% 196.18/33.10  | Case 1:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (31)  all_56_4 = e2 & op(e3, e1) = e2
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (31) implies:
% 196.18/33.10  | |   (32)  all_56_4 = e2
% 196.18/33.10  | | 
% 196.18/33.10  | | BETA: splitting (20) gives:
% 196.18/33.10  | | 
% 196.18/33.10  | | Case 1:
% 196.18/33.10  | | | 
% 196.18/33.10  | | |   (33)  all_54_2 = e2
% 196.18/33.10  | | | 
% 196.18/33.10  | | | REF_CLOSE: (3), (18), (33) are inconsistent by sub-proof #1761.
% 196.18/33.10  | | | 
% 196.18/33.10  | | Case 2:
% 196.18/33.10  | | | 
% 196.18/33.10  | | |   (34)  all_54_2 = e1 | all_54_2 = e0
% 196.18/33.10  | | | 
% 196.18/33.10  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 196.18/33.10  | | |            (14), (15), (16), (17), (19), (21), (22), (23), (25), (26),
% 196.18/33.10  | | |            (27), (28), (29), (30), (32), (34) are inconsistent by
% 196.18/33.10  | | |            sub-proof #847.
% 196.18/33.10  | | | 
% 196.18/33.10  | | End of split
% 196.18/33.10  | | 
% 196.18/33.10  | Case 2:
% 196.18/33.10  | | 
% 196.18/33.10  | |   (35)  all_56_5 = e2 & op(e2, e1) = e2
% 196.18/33.10  | | 
% 196.18/33.10  | | ALPHA: (35) implies:
% 196.18/33.10  | |   (36)  op(e2, e1) = e2
% 196.18/33.10  | | 
% 196.18/33.10  | | REF_CLOSE: (5), (6), (23), (36) are inconsistent by sub-proof #1441.
% 196.18/33.10  | | 
% 196.18/33.10  | End of split
% 196.18/33.10  | 
% 196.18/33.10  End of proof
% 196.18/33.10  
% 196.18/33.10  Sub-proof #843 shows that the following formulas are inconsistent:
% 196.18/33.10  ----------------------------------------------------------------
% 196.18/33.10    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.10         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.11    (2)   ~ (e3 = e2)
% 196.18/33.11    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.11    (4)  op(e2, e2) = all_4_2
% 196.18/33.11    (5)  all_56_7 = e1
% 196.18/33.11    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.11         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.11    (7)  all_56_12 = e3
% 196.18/33.11    (8)  all_56_13 = e2
% 196.18/33.11    (9)  op(e1, e0) = all_52_14
% 196.18/33.11    (10)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.11          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.11    (11)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.11          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.11    (12)  all_56_6 = e0
% 196.18/33.11    (13)   ~ (all_52_14 = e1)
% 196.18/33.11    (14)   ~ (all_4_2 = e3)
% 196.18/33.11    (15)   ~ (e1 = e0)
% 196.18/33.11    (16)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.18/33.11    (17)   ~ (e2 = e1)
% 196.18/33.11    (18)  op(e2, e2) = e0
% 196.18/33.11    (19)   ~ (e3 = e1)
% 196.18/33.11    (20)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.11          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.11    (21)  op(e1, e1) = e3
% 196.18/33.11    (22)   ~ (e2 = e0)
% 196.18/33.11    (23)   ~ (e3 = e0)
% 196.18/33.11  
% 196.18/33.11  Begin of proof
% 196.18/33.11  | 
% 196.18/33.11  | BETA: splitting (16) gives:
% 196.18/33.11  | 
% 196.18/33.11  | Case 1:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (24)  all_56_6 = e2 & op(e1, e3) = e2
% 196.18/33.11  | | 
% 196.18/33.11  | | ALPHA: (24) implies:
% 196.18/33.11  | |   (25)  all_56_6 = e2
% 196.18/33.11  | | 
% 196.18/33.11  | | COMBINE_EQS: (12), (25) imply:
% 196.18/33.11  | |   (26)  e2 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | SIMP: (26) implies:
% 196.18/33.11  | |   (27)  e2 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | COMBINE_EQS: (8), (27) imply:
% 196.18/33.11  | |   (28)  all_56_13 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (11), (13), (14), (15),
% 196.18/33.11  | |            (17), (18), (19), (20), (21), (22), (23), (28) are inconsistent
% 196.18/33.11  | |            by sub-proof #851.
% 196.18/33.11  | | 
% 196.18/33.11  | Case 2:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (29)  all_56_12 = e2 & op(e0, e3) = e2
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (2), (7), (29) are inconsistent by sub-proof #1848.
% 196.18/33.11  | | 
% 196.18/33.11  | End of split
% 196.18/33.11  | 
% 196.18/33.11  End of proof
% 196.18/33.11  
% 196.18/33.11  Sub-proof #844 shows that the following formulas are inconsistent:
% 196.18/33.11  ----------------------------------------------------------------
% 196.18/33.11    (1)  op(e0, e0) = e1
% 196.18/33.11    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.11         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.11    (3)   ~ (e3 = e2)
% 196.18/33.11    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.11    (5)  op(e2, e2) = all_4_2
% 196.18/33.11    (6)  all_56_7 = e1
% 196.18/33.11    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.11         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.11    (8)  all_56_12 = e3
% 196.18/33.11    (9)  all_56_14 = e2
% 196.18/33.11    (10)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.11          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.18/33.11            e2)
% 196.18/33.11    (11)  op(e1, e0) = all_52_14
% 196.18/33.11    (12)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.11          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.11    (13)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.11          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.11    (14)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.18/33.11            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.18/33.11              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.18/33.11    (15)   ~ (all_52_14 = e1)
% 196.18/33.11    (16)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.11          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.18/33.11    (17)   ~ (all_4_2 = e3)
% 196.18/33.11    (18)  all_56_5 = e1
% 196.18/33.11    (19)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.18/33.11          | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.18/33.11    (20)   ~ (e1 = e0)
% 196.18/33.11    (21)  all_36_2 = e0
% 196.18/33.11    (22)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.18/33.11              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.18/33.11                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.18/33.11                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.18/33.11    (23)   ~ (e2 = e1)
% 196.18/33.11    (24)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.11          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.18/33.11    (25)  all_56_2 = e2
% 196.18/33.11    (26)  all_56_1 = e3
% 196.18/33.11    (27)  op(e2, e2) = e0
% 196.18/33.11    (28)   ~ (e3 = e1)
% 196.18/33.11    (29)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.11          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.11    (30)  op(e1, e1) = e3
% 196.18/33.11    (31)   ~ (e2 = e0)
% 196.18/33.11    (32)   ~ (e3 = e0)
% 196.18/33.11  
% 196.18/33.11  Begin of proof
% 196.18/33.11  | 
% 196.18/33.11  | BETA: splitting (19) gives:
% 196.18/33.11  | 
% 196.18/33.11  | Case 1:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (33)  all_56_12 = e0 & op(e0, e3) = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | ALPHA: (33) implies:
% 196.18/33.11  | |   (34)  all_56_12 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | COMBINE_EQS: (8), (34) imply:
% 196.18/33.11  | |   (35)  e3 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (10), (11), (12), (13), (15), (17),
% 196.18/33.11  | |            (20), (22), (23), (26), (28), (29), (30), (31), (32), (35) are
% 196.18/33.11  | |            inconsistent by sub-proof #853.
% 196.18/33.11  | | 
% 196.18/33.11  | Case 2:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (36)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 196.18/33.11  | |           e0)
% 196.18/33.11  | | 
% 196.18/33.11  | | BETA: splitting (36) gives:
% 196.18/33.11  | | 
% 196.18/33.11  | | Case 1:
% 196.18/33.11  | | | 
% 196.18/33.11  | | |   (37)  all_56_13 = e0 & op(e0, e2) = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | ALPHA: (37) implies:
% 196.18/33.11  | | |   (38)  all_56_13 = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (11), (12), (13), (15), (17),
% 196.18/33.11  | | |            (20), (23), (27), (28), (29), (30), (31), (32), (38) are
% 196.18/33.11  | | |            inconsistent by sub-proof #851.
% 196.18/33.11  | | | 
% 196.18/33.11  | | Case 2:
% 196.18/33.11  | | | 
% 196.18/33.11  | | |   (39)  all_56_14 = e0 & op(e0, e1) = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | ALPHA: (39) implies:
% 196.18/33.11  | | |   (40)  all_56_14 = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | COMBINE_EQS: (9), (40) imply:
% 196.18/33.11  | | |   (41)  e2 = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | SIMP: (41) implies:
% 196.18/33.11  | | |   (42)  e2 = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | COMBINE_EQS: (25), (42) imply:
% 196.18/33.11  | | |   (43)  all_56_2 = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | REF_CLOSE: (3), (4), (5), (14), (16), (17), (18), (21), (23), (24), (27),
% 196.18/33.11  | | |            (28), (31), (32), (43) are inconsistent by sub-proof #1703.
% 196.18/33.11  | | | 
% 196.18/33.11  | | End of split
% 196.18/33.11  | | 
% 196.18/33.11  | End of split
% 196.18/33.11  | 
% 196.18/33.11  End of proof
% 196.18/33.11  
% 196.18/33.11  Sub-proof #845 shows that the following formulas are inconsistent:
% 196.18/33.11  ----------------------------------------------------------------
% 196.18/33.11    (1)  all_54_12 = e1 | all_54_12 = e0
% 196.18/33.11    (2)  all_54_12 = all_52_3
% 196.18/33.11    (3)   ~ (all_52_3 = e1)
% 196.18/33.11    (4)   ~ (all_52_3 = e0)
% 196.18/33.11  
% 196.18/33.11  Begin of proof
% 196.18/33.11  | 
% 196.18/33.11  | BETA: splitting (1) gives:
% 196.18/33.11  | 
% 196.18/33.11  | Case 1:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (5)  all_54_12 = e1
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1464.
% 196.18/33.11  | | 
% 196.18/33.11  | Case 2:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (6)  all_54_12 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1098.
% 196.18/33.11  | | 
% 196.18/33.11  | End of split
% 196.18/33.11  | 
% 196.18/33.11  End of proof
% 196.18/33.11  
% 196.18/33.11  Sub-proof #846 shows that the following formulas are inconsistent:
% 196.18/33.11  ----------------------------------------------------------------
% 196.18/33.11    (1)  op(e1, e0) = e0
% 196.18/33.11    (2)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.18/33.11    (3)  all_54_3 = all_52_12
% 196.18/33.11    (4)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.18/33.11         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.18/33.11    (5)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.11         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.11    (6)  all_54_2 = all_52_8
% 196.18/33.11    (7)   ~ (e3 = e2)
% 196.18/33.11    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.11    (9)  op(e2, e2) = all_4_2
% 196.18/33.11    (10)  all_56_7 = e1
% 196.18/33.11    (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.11          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.11    (12)  all_56_13 = e2
% 196.18/33.11    (13)  op(e1, e0) = all_52_14
% 196.18/33.11    (14)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.11          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.11    (15)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.11          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.11    (16)   ~ (all_52_12 = all_52_14)
% 196.18/33.11    (17)   ~ (all_52_8 = e1)
% 196.18/33.11    (18)  op(e0, e1) = all_52_11
% 196.18/33.11    (19)   ~ (all_52_12 = e3)
% 196.18/33.11    (20)   ~ (all_52_14 = e1)
% 196.18/33.11    (21)   ~ (all_4_2 = e3)
% 196.18/33.11    (22)   ~ (all_52_8 = all_52_12)
% 196.18/33.11    (23)  all_56_5 = e1
% 196.18/33.11    (24)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.18/33.11    (25)   ~ (e1 = e0)
% 196.18/33.11    (26)   ~ (all_52_8 = all_52_11)
% 196.18/33.11    (27)  all_56_4 = e2
% 196.18/33.11    (28)   ~ (e2 = e1)
% 196.18/33.11    (29)   ~ (all_52_12 = e1)
% 196.18/33.11    (30)  op(e2, e2) = e0
% 196.18/33.11    (31)   ~ (e3 = e1)
% 196.18/33.11    (32)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.11          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.11    (33)  op(e1, e1) = e3
% 196.18/33.11    (34)   ~ (e2 = e0)
% 196.18/33.11    (35)   ~ (e3 = e0)
% 196.18/33.11  
% 196.18/33.11  Begin of proof
% 196.18/33.11  | 
% 196.18/33.11  | BETA: splitting (24) gives:
% 196.18/33.11  | 
% 196.18/33.11  | Case 1:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (36)  all_54_2 = e2
% 196.18/33.11  | | 
% 196.18/33.11  | | COMBINE_EQS: (6), (36) imply:
% 196.18/33.11  | |   (37)  all_52_8 = e2
% 196.18/33.11  | | 
% 196.18/33.11  | | SIMP: (37) implies:
% 196.18/33.11  | |   (38)  all_52_8 = e2
% 196.18/33.11  | | 
% 196.18/33.11  | | REDUCE: (22), (38) imply:
% 196.18/33.11  | |   (39)   ~ (all_52_12 = e2)
% 196.18/33.11  | | 
% 196.18/33.11  | | SIMP: (39) implies:
% 196.18/33.11  | |   (40)   ~ (all_52_12 = e2)
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (1), (2), (3), (8), (13), (16), (19), (29), (40) are inconsistent
% 196.18/33.11  | |            by sub-proof #1077.
% 196.18/33.11  | | 
% 196.18/33.11  | Case 2:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (41)  all_54_2 = e1 | all_54_2 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 196.18/33.11  | |            (17), (18), (20), (21), (23), (25), (26), (27), (28), (30), (31),
% 196.18/33.11  | |            (32), (33), (34), (35), (41) are inconsistent by sub-proof #847.
% 196.18/33.11  | | 
% 196.18/33.11  | End of split
% 196.18/33.11  | 
% 196.18/33.11  End of proof
% 196.18/33.11  
% 196.18/33.11  Sub-proof #847 shows that the following formulas are inconsistent:
% 196.18/33.11  ----------------------------------------------------------------
% 196.18/33.11    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.18/33.11         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.18/33.11    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.11         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.11    (3)  all_54_2 = all_52_8
% 196.18/33.11    (4)   ~ (e3 = e2)
% 196.18/33.11    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.11    (6)  op(e2, e2) = all_4_2
% 196.18/33.11    (7)  all_56_7 = e1
% 196.18/33.11    (8)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.11         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.11    (9)  all_56_13 = e2
% 196.18/33.11    (10)  op(e1, e0) = all_52_14
% 196.18/33.11    (11)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.11          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.11    (12)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.11          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.11    (13)   ~ (all_52_8 = e1)
% 196.18/33.11    (14)  op(e0, e1) = all_52_11
% 196.18/33.11    (15)   ~ (all_52_14 = e1)
% 196.18/33.11    (16)   ~ (all_4_2 = e3)
% 196.18/33.11    (17)  all_56_5 = e1
% 196.18/33.11    (18)   ~ (e1 = e0)
% 196.18/33.11    (19)   ~ (all_52_8 = all_52_11)
% 196.18/33.11    (20)  all_56_4 = e2
% 196.18/33.11    (21)   ~ (e2 = e1)
% 196.18/33.11    (22)  all_54_2 = e1 | all_54_2 = e0
% 196.18/33.11    (23)  op(e2, e2) = e0
% 196.18/33.11    (24)   ~ (e3 = e1)
% 196.18/33.11    (25)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.11          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.11    (26)  op(e1, e1) = e3
% 196.18/33.11    (27)   ~ (e2 = e0)
% 196.18/33.11    (28)   ~ (e3 = e0)
% 196.18/33.11  
% 196.18/33.11  Begin of proof
% 196.18/33.11  | 
% 196.18/33.11  | BETA: splitting (1) gives:
% 196.18/33.11  | 
% 196.18/33.11  | Case 1:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (29)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 196.18/33.11  | |           e0)
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (15), (16),
% 196.18/33.11  | |            (17), (18), (20), (21), (23), (24), (25), (26), (27), (28), (29)
% 196.18/33.11  | |            are inconsistent by sub-proof #848.
% 196.18/33.11  | | 
% 196.18/33.11  | Case 2:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (30)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 196.18/33.11  | |           e0)
% 196.18/33.11  | | 
% 196.18/33.11  | | BETA: splitting (30) gives:
% 196.18/33.11  | | 
% 196.18/33.11  | | Case 1:
% 196.18/33.11  | | | 
% 196.18/33.11  | | |   (31)  all_56_8 = e0 & op(e1, e1) = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | ALPHA: (31) implies:
% 196.18/33.11  | | |   (32)  op(e1, e1) = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | REF_CLOSE: (5), (26), (28), (32) are inconsistent by sub-proof #1824.
% 196.18/33.11  | | | 
% 196.18/33.11  | | Case 2:
% 196.18/33.11  | | | 
% 196.18/33.11  | | |   (33)  all_56_14 = e0 & op(e0, e1) = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | ALPHA: (33) implies:
% 196.18/33.11  | | |   (34)  op(e0, e1) = e0
% 196.18/33.11  | | | 
% 196.18/33.11  | | | REF_CLOSE: (3), (5), (13), (14), (19), (22), (34) are inconsistent by
% 196.18/33.11  | | |            sub-proof #1075.
% 196.18/33.11  | | | 
% 196.18/33.11  | | End of split
% 196.18/33.11  | | 
% 196.18/33.11  | End of split
% 196.18/33.11  | 
% 196.18/33.11  End of proof
% 196.18/33.11  
% 196.18/33.11  Sub-proof #848 shows that the following formulas are inconsistent:
% 196.18/33.11  ----------------------------------------------------------------
% 196.18/33.11    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.11         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.11    (2)   ~ (e3 = e2)
% 196.18/33.11    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.11    (4)  op(e2, e2) = all_4_2
% 196.18/33.11    (5)  all_56_7 = e1
% 196.18/33.11    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.11         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.11    (7)  all_56_13 = e2
% 196.18/33.11    (8)  op(e1, e0) = all_52_14
% 196.18/33.11    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.11         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.11    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 196.18/33.11    (11)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.11          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.11    (12)   ~ (all_52_14 = e1)
% 196.18/33.11    (13)   ~ (all_4_2 = e3)
% 196.18/33.11    (14)  all_56_5 = e1
% 196.18/33.11    (15)   ~ (e1 = e0)
% 196.18/33.11    (16)  all_56_4 = e2
% 196.18/33.11    (17)   ~ (e2 = e1)
% 196.18/33.11    (18)  op(e2, e2) = e0
% 196.18/33.11    (19)   ~ (e3 = e1)
% 196.18/33.11    (20)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.11          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.11    (21)  op(e1, e1) = e3
% 196.18/33.11    (22)   ~ (e2 = e0)
% 196.18/33.11    (23)   ~ (e3 = e0)
% 196.18/33.11  
% 196.18/33.11  Begin of proof
% 196.18/33.11  | 
% 196.18/33.11  | BETA: splitting (10) gives:
% 196.18/33.11  | 
% 196.18/33.11  | Case 1:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (24)  all_56_4 = e0 & op(e3, e1) = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | ALPHA: (24) implies:
% 196.18/33.11  | |   (25)  all_56_4 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | COMBINE_EQS: (16), (25) imply:
% 196.18/33.11  | |   (26)  e2 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | COMBINE_EQS: (7), (26) imply:
% 196.18/33.11  | |   (27)  all_56_13 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (12), (13), (15),
% 196.18/33.11  | |            (17), (18), (19), (20), (21), (22), (23), (27) are inconsistent
% 196.18/33.11  | |            by sub-proof #851.
% 196.18/33.11  | | 
% 196.18/33.11  | Case 2:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (28)  all_56_5 = e0 & op(e2, e1) = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (14), (15), (28) are inconsistent by sub-proof #849.
% 196.18/33.11  | | 
% 196.18/33.11  | End of split
% 196.18/33.11  | 
% 196.18/33.11  End of proof
% 196.18/33.11  
% 196.18/33.11  Sub-proof #849 shows that the following formulas are inconsistent:
% 196.18/33.11  ----------------------------------------------------------------
% 196.18/33.11    (1)  all_56_5 = e0 & op(e2, e1) = e0
% 196.18/33.11    (2)  all_56_5 = e1
% 196.18/33.11    (3)   ~ (e1 = e0)
% 196.18/33.11  
% 196.18/33.11  Begin of proof
% 196.18/33.11  | 
% 196.18/33.11  | ALPHA: (1) implies:
% 196.18/33.11  |   (4)  all_56_5 = e0
% 196.18/33.11  | 
% 196.18/33.11  | COMBINE_EQS: (2), (4) imply:
% 196.18/33.11  |   (5)  e1 = e0
% 196.18/33.11  | 
% 196.18/33.11  | REDUCE: (3), (5) imply:
% 196.18/33.11  |   (6)  $false
% 196.18/33.11  | 
% 196.18/33.11  | CLOSE: (6) is inconsistent.
% 196.18/33.11  | 
% 196.18/33.11  End of proof
% 196.18/33.11  
% 196.18/33.11  Sub-proof #850 shows that the following formulas are inconsistent:
% 196.18/33.11  ----------------------------------------------------------------
% 196.18/33.11    (1)   ~ (e3 = e2)
% 196.18/33.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.11    (3)  op(e2, e2) = all_4_2
% 196.18/33.11    (4)  op(e3, e3) = e1
% 196.18/33.11    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 196.18/33.11    (6)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.18/33.11           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.18/33.11             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.18/33.11    (7)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.11         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.18/33.11    (8)   ~ (all_4_2 = e3)
% 196.18/33.11    (9)  all_56_5 = e1
% 196.18/33.11    (10)   ~ (e1 = e0)
% 196.18/33.11    (11)  all_36_2 = e0
% 196.18/33.11    (12)   ~ (e2 = e1)
% 196.18/33.11    (13)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.11          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.18/33.11    (14)  op(e2, e2) = e0
% 196.18/33.11    (15)   ~ (e3 = e1)
% 196.18/33.11    (16)   ~ (e2 = e0)
% 196.18/33.11    (17)   ~ (e3 = e0)
% 196.18/33.11  
% 196.18/33.11  Begin of proof
% 196.18/33.11  | 
% 196.18/33.11  | BETA: splitting (5) gives:
% 196.18/33.11  | 
% 196.18/33.11  | Case 1:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (18)  all_56_0 = e0 & op(e3, e3) = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | ALPHA: (18) implies:
% 196.18/33.11  | |   (19)  op(e3, e3) = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (2), (4), (10), (19) are inconsistent by sub-proof #1937.
% 196.18/33.11  | | 
% 196.18/33.11  | Case 2:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (20)  all_56_2 = e0 & op(e2, e3) = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | ALPHA: (20) implies:
% 196.18/33.11  | |   (21)  all_56_2 = e0
% 196.18/33.11  | | 
% 196.18/33.11  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (11), (12), (13), (14), (15),
% 196.18/33.11  | |            (16), (17), (21) are inconsistent by sub-proof #1703.
% 196.18/33.11  | | 
% 196.18/33.11  | End of split
% 196.18/33.11  | 
% 196.18/33.11  End of proof
% 196.18/33.11  
% 196.18/33.11  Sub-proof #851 shows that the following formulas are inconsistent:
% 196.18/33.11  ----------------------------------------------------------------
% 196.18/33.11    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.11         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.11    (2)   ~ (e3 = e2)
% 196.18/33.11    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.11    (4)  all_56_13 = e0
% 196.18/33.11    (5)  op(e2, e2) = all_4_2
% 196.18/33.11    (6)  all_56_7 = e1
% 196.18/33.11    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.11         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.11    (8)  op(e1, e0) = all_52_14
% 196.18/33.11    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.11         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.11    (10)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.11          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.11    (11)   ~ (all_52_14 = e1)
% 196.18/33.11    (12)   ~ (all_4_2 = e3)
% 196.18/33.11    (13)   ~ (e1 = e0)
% 196.18/33.11    (14)   ~ (e2 = e1)
% 196.18/33.11    (15)  op(e2, e2) = e0
% 196.18/33.11    (16)   ~ (e3 = e1)
% 196.18/33.11    (17)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.11          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.11    (18)  op(e1, e1) = e3
% 196.18/33.11    (19)   ~ (e2 = e0)
% 196.18/33.11    (20)   ~ (e3 = e0)
% 196.18/33.11  
% 196.18/33.11  Begin of proof
% 196.18/33.11  | 
% 196.18/33.11  | BETA: splitting (1) gives:
% 196.18/33.11  | 
% 196.18/33.11  | Case 1:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (21)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 196.18/33.11  | |           e2)
% 196.18/33.11  | | 
% 196.18/33.11  | | BETA: splitting (21) gives:
% 196.18/33.11  | | 
% 196.18/33.11  | | Case 1:
% 196.18/33.11  | | | 
% 196.18/33.11  | | |   (22)  all_56_1 = e2 & op(e3, e2) = e2
% 196.18/33.11  | | | 
% 196.18/33.11  | | | ALPHA: (22) implies:
% 196.18/33.11  | | |   (23)  all_56_1 = e2
% 196.18/33.11  | | | 
% 196.18/33.11  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 196.18/33.11  | | |            (14), (16), (17), (18), (19), (20), (23) are inconsistent by
% 196.18/33.11  | | |            sub-proof #852.
% 196.18/33.11  | | | 
% 196.18/33.11  | | Case 2:
% 196.18/33.11  | | | 
% 196.18/33.11  | | |   (24)  all_56_3 = e2 & op(e2, e2) = e2
% 196.18/33.11  | | | 
% 196.18/33.11  | | | ALPHA: (24) implies:
% 196.18/33.11  | | |   (25)  op(e2, e2) = e2
% 196.18/33.11  | | | 
% 196.18/33.11  | | | REF_CLOSE: (3), (15), (19), (25) are inconsistent by sub-proof #1939.
% 196.18/33.11  | | | 
% 196.18/33.11  | | End of split
% 196.18/33.11  | | 
% 196.18/33.11  | Case 2:
% 196.18/33.11  | | 
% 196.18/33.11  | |   (26)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 196.18/33.11  | |           e2)
% 196.18/33.11  | | 
% 196.18/33.11  | | BETA: splitting (26) gives:
% 196.18/33.11  | | 
% 196.18/33.11  | | Case 1:
% 196.18/33.11  | | | 
% 196.18/33.11  | | |   (27)  all_56_7 = e2 & op(e1, e2) = e2
% 196.18/33.11  | | | 
% 196.18/33.11  | | | ALPHA: (27) implies:
% 196.18/33.11  | | |   (28)  all_56_7 = e2
% 196.18/33.11  | | | 
% 196.18/33.11  | | | COMBINE_EQS: (6), (28) imply:
% 196.18/33.11  | | |   (29)  e2 = e1
% 196.18/33.11  | | | 
% 196.18/33.11  | | | REDUCE: (14), (29) imply:
% 196.18/33.11  | | |   (30)  $false
% 196.18/33.11  | | | 
% 196.18/33.11  | | | CLOSE: (30) is inconsistent.
% 196.18/33.11  | | | 
% 196.18/33.11  | | Case 2:
% 196.18/33.11  | | | 
% 196.18/33.11  | | |   (31)  all_56_13 = e2 & op(e0, e2) = e2
% 196.18/33.11  | | | 
% 196.18/33.11  | | | ALPHA: (31) implies:
% 196.18/33.11  | | |   (32)  all_56_13 = e2
% 196.18/33.11  | | | 
% 196.18/33.11  | | | REF_CLOSE: (4), (19), (32) are inconsistent by sub-proof #1357.
% 196.18/33.11  | | | 
% 196.18/33.11  | | End of split
% 196.18/33.11  | | 
% 196.18/33.11  | End of split
% 196.18/33.11  | 
% 196.18/33.11  End of proof
% 196.18/33.11  
% 196.18/33.11  Sub-proof #852 shows that the following formulas are inconsistent:
% 196.18/33.11  ----------------------------------------------------------------
% 196.18/33.11    (1)   ~ (e3 = e2)
% 196.18/33.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.11    (3)  all_56_13 = e0
% 196.18/33.11    (4)  op(e2, e2) = all_4_2
% 196.18/33.11    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.11         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.11    (6)  op(e1, e0) = all_52_14
% 196.18/33.11    (7)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.11         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.11    (8)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.11         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.11    (9)   ~ (all_52_14 = e1)
% 196.18/33.11    (10)   ~ (all_4_2 = e3)
% 196.18/33.11    (11)   ~ (e1 = e0)
% 196.18/33.11    (12)   ~ (e2 = e1)
% 196.18/33.11    (13)   ~ (e3 = e1)
% 196.18/33.11    (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.11          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.11    (15)  op(e1, e1) = e3
% 196.18/33.12    (16)   ~ (e2 = e0)
% 196.18/33.12    (17)   ~ (e3 = e0)
% 196.18/33.12    (18)  all_56_1 = e2
% 196.18/33.12  
% 196.18/33.12  Begin of proof
% 196.18/33.12  | 
% 196.18/33.12  | BETA: splitting (7) gives:
% 196.18/33.12  | 
% 196.18/33.12  | Case 1:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (19)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 196.18/33.12  | |           e3)
% 196.18/33.12  | | 
% 196.18/33.12  | | REF_CLOSE: (1), (2), (4), (10), (18), (19) are inconsistent by sub-proof
% 196.18/33.12  | |            #1359.
% 196.18/33.12  | | 
% 196.18/33.12  | Case 2:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (20)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 196.18/33.12  | |           e3)
% 196.18/33.12  | | 
% 196.18/33.12  | | BETA: splitting (20) gives:
% 196.18/33.12  | | 
% 196.18/33.12  | | Case 1:
% 196.18/33.12  | | | 
% 196.18/33.12  | | |   (21)  all_56_7 = e3 & op(e1, e2) = e3
% 196.18/33.12  | | | 
% 196.18/33.12  | | | ALPHA: (21) implies:
% 196.18/33.12  | | |   (22)  all_56_7 = e3
% 196.18/33.12  | | | 
% 196.18/33.12  | | | REF_CLOSE: (1), (2), (5), (6), (8), (9), (11), (12), (13), (14), (15),
% 196.18/33.12  | | |            (16), (17), (22) are inconsistent by sub-proof #1769.
% 196.18/33.12  | | | 
% 196.18/33.12  | | Case 2:
% 196.18/33.12  | | | 
% 196.18/33.12  | | |   (23)  all_56_13 = e3 & op(e0, e2) = e3
% 196.18/33.12  | | | 
% 196.18/33.12  | | | REF_CLOSE: (3), (17), (23) are inconsistent by sub-proof #1420.
% 196.18/33.12  | | | 
% 196.18/33.12  | | End of split
% 196.18/33.12  | | 
% 196.18/33.12  | End of split
% 196.18/33.12  | 
% 196.18/33.12  End of proof
% 196.18/33.12  
% 196.18/33.12  Sub-proof #853 shows that the following formulas are inconsistent:
% 196.18/33.12  ----------------------------------------------------------------
% 196.18/33.12    (1)  op(e0, e0) = e1
% 196.18/33.12    (2)   ~ (e3 = e2)
% 196.18/33.12    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.12    (4)  op(e2, e2) = all_4_2
% 196.18/33.12    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.12         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.12    (6)  all_56_12 = e3
% 196.18/33.12    (7)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 196.18/33.12         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.18/33.12    (8)  op(e1, e0) = all_52_14
% 196.18/33.12    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.12         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.12    (10)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.12          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.12    (11)   ~ (all_52_14 = e1)
% 196.18/33.12    (12)   ~ (all_4_2 = e3)
% 196.18/33.12    (13)   ~ (e1 = e0)
% 196.18/33.12    (14)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.18/33.12              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.18/33.12                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.18/33.12                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.18/33.12    (15)   ~ (e2 = e1)
% 196.18/33.12    (16)  all_56_1 = e3
% 196.18/33.12    (17)   ~ (e3 = e1)
% 196.18/33.12    (18)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.12          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.12    (19)  op(e1, e1) = e3
% 196.18/33.12    (20)   ~ (e2 = e0)
% 196.18/33.12    (21)   ~ (e3 = e0)
% 196.18/33.12    (22)  e3 = e0
% 196.18/33.12  
% 196.18/33.12  Begin of proof
% 196.18/33.12  | 
% 196.18/33.12  | COMBINE_EQS: (16), (22) imply:
% 196.18/33.12  |   (23)  all_56_1 = e0
% 196.18/33.12  | 
% 196.18/33.12  | BETA: splitting (9) gives:
% 196.18/33.12  | 
% 196.18/33.12  | Case 1:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (24)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 196.18/33.12  | |           e3)
% 196.18/33.12  | | 
% 196.18/33.12  | | REF_CLOSE: (3), (4), (12), (21), (23), (24) are inconsistent by sub-proof
% 196.18/33.12  | |            #854.
% 196.18/33.12  | | 
% 196.18/33.12  | Case 2:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (25)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 196.18/33.12  | |           e3)
% 196.18/33.12  | | 
% 196.18/33.12  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11), (13), (14), (15),
% 196.18/33.12  | |            (17), (18), (19), (20), (21), (25) are inconsistent by sub-proof
% 196.18/33.12  | |            #887.
% 196.18/33.12  | | 
% 196.18/33.12  | End of split
% 196.18/33.12  | 
% 196.18/33.12  End of proof
% 196.18/33.12  
% 196.18/33.12  Sub-proof #854 shows that the following formulas are inconsistent:
% 196.18/33.12  ----------------------------------------------------------------
% 196.18/33.12    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.12    (2)  op(e2, e2) = all_4_2
% 196.18/33.12    (3)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 196.18/33.12    (4)  all_56_1 = e0
% 196.18/33.12    (5)   ~ (all_4_2 = e3)
% 196.18/33.12    (6)   ~ (e3 = e0)
% 196.18/33.12  
% 196.18/33.12  Begin of proof
% 196.18/33.12  | 
% 196.18/33.12  | BETA: splitting (3) gives:
% 196.18/33.12  | 
% 196.18/33.12  | Case 1:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 196.18/33.12  | | 
% 196.18/33.12  | | REF_CLOSE: (4), (6), (7) are inconsistent by sub-proof #1913.
% 196.18/33.12  | | 
% 196.18/33.12  | Case 2:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (8)  all_56_3 = e3 & op(e2, e2) = e3
% 196.18/33.12  | | 
% 196.18/33.12  | | ALPHA: (8) implies:
% 196.18/33.12  | |   (9)  op(e2, e2) = e3
% 196.18/33.12  | | 
% 196.18/33.12  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1975.
% 196.18/33.12  | | 
% 196.18/33.12  | End of split
% 196.18/33.12  | 
% 196.18/33.12  End of proof
% 196.18/33.12  
% 196.18/33.12  Sub-proof #855 shows that the following formulas are inconsistent:
% 196.18/33.12  ----------------------------------------------------------------
% 196.18/33.12    (1)  op(e0, e0) = e1
% 196.18/33.12    (2)  op(e1, e2) = e1
% 196.18/33.12    (3)   ~ (e3 = e2)
% 196.18/33.12    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.12    (5)  op(e3, e3) = e1
% 196.18/33.12    (6)   ~ (e1 = e0)
% 196.18/33.12    (7)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.12             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.12           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.12               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.12             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.12         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.18/33.12             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.12           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.18/33.12               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.18/33.12             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.12         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.18/33.12             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.18/33.12           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.18/33.12               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.18/33.12             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.12         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.18/33.12             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.18/33.12           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.18/33.12               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.18/33.12             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.18/33.12    (8)   ~ (e3 = e1)
% 196.18/33.12    (9)  op(e1, e1) = e3
% 196.18/33.12  
% 196.18/33.12  Begin of proof
% 196.18/33.12  | 
% 196.18/33.12  | BETA: splitting (7) gives:
% 196.18/33.12  | 
% 196.18/33.12  | Case 1:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (10)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 196.18/33.12  | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.18/33.12  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.12  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.18/33.12  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.18/33.12  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 196.18/33.12  | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.18/33.12  | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 196.18/33.12  | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.18/33.12  | |               all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 196.18/33.12  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.18/33.12  | |               $i(all_57_5))))
% 196.18/33.12  | | 
% 196.18/33.12  | | BETA: splitting (10) gives:
% 196.18/33.12  | | 
% 196.18/33.12  | | Case 1:
% 196.18/33.12  | | | 
% 196.18/33.12  | | |   (11)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 196.18/33.12  | | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.18/33.12  | | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.12  | | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.18/33.12  | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.18/33.12  | | |               e3) = all_57_2 & $i(all_57_2)))
% 196.18/33.12  | | | 
% 196.18/33.12  | | | ALPHA: (11) implies:
% 196.18/33.12  | | |   (12)  op(e3, e3) = e3
% 196.18/33.12  | | | 
% 196.18/33.12  | | | REF_CLOSE: (4), (5), (8), (12) are inconsistent by sub-proof #1966.
% 196.18/33.12  | | | 
% 196.18/33.12  | | Case 2:
% 196.18/33.12  | | | 
% 196.18/33.12  | | |   (13)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 196.18/33.12  | | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.18/33.12  | | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.18/33.12  | | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.18/33.12  | | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.18/33.12  | | |               e2) = all_57_5 & $i(all_57_5)))
% 196.18/33.12  | | | 
% 196.18/33.12  | | | ALPHA: (13) implies:
% 196.18/33.12  | | |   (14)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 196.18/33.12  | | |             e2) = all_57_4 & $i(all_57_4))
% 196.18/33.12  | | | 
% 196.18/33.12  | | | REF_CLOSE: (2), (3), (4), (9), (14) are inconsistent by sub-proof #879.
% 196.18/33.12  | | | 
% 196.18/33.12  | | End of split
% 196.18/33.12  | | 
% 196.18/33.12  | Case 2:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (15)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 196.18/33.12  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.18/33.12  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.18/33.12  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.18/33.12  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.12  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 196.18/33.12  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.18/33.12  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 196.18/33.12  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.18/33.12  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 196.18/33.12  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.18/33.12  | |               $i(all_57_13))))
% 196.18/33.12  | | 
% 196.18/33.12  | | REF_CLOSE: (1), (4), (6), (8), (9), (15) are inconsistent by sub-proof #866.
% 196.18/33.12  | | 
% 196.18/33.12  | End of split
% 196.18/33.12  | 
% 196.18/33.12  End of proof
% 196.18/33.12  
% 196.18/33.12  Sub-proof #856 shows that the following formulas are inconsistent:
% 196.18/33.12  ----------------------------------------------------------------
% 196.18/33.12    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.12    (2)  op(e2, e2) = e2
% 196.18/33.12    (3)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 196.18/33.12             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.18/33.12           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 196.18/33.12           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.18/33.12           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 196.18/33.12           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.18/33.12    (4)  op(e1, e1) = e3
% 196.18/33.12    (5)   ~ (e2 = e0)
% 196.18/33.12    (6)   ~ (e3 = e0)
% 196.18/33.12  
% 196.18/33.12  Begin of proof
% 196.18/33.12  | 
% 196.18/33.12  | BETA: splitting (3) gives:
% 196.18/33.12  | 
% 196.18/33.12  | Case 1:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (7)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 196.18/33.12  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 196.18/33.12  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 196.18/33.12  | | 
% 196.18/33.12  | | ALPHA: (7) implies:
% 196.18/33.12  | |   (8)  op(e2, e2) = e0
% 196.18/33.12  | | 
% 196.18/33.12  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1939.
% 196.18/33.12  | | 
% 196.18/33.12  | Case 2:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (9)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 196.18/33.12  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 196.18/33.12  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 196.18/33.12  | | 
% 196.18/33.12  | | ALPHA: (9) implies:
% 196.18/33.12  | |   (10)  op(e1, e1) = e0
% 196.18/33.12  | | 
% 196.18/33.12  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1824.
% 196.18/33.12  | | 
% 196.18/33.12  | End of split
% 196.18/33.12  | 
% 196.18/33.12  End of proof
% 196.18/33.12  
% 196.18/33.12  Sub-proof #857 shows that the following formulas are inconsistent:
% 196.18/33.12  ----------------------------------------------------------------
% 196.18/33.12    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.12    (2)  op(e2, e2) = all_4_2
% 196.18/33.12    (3)  op(e3, e3) = e1
% 196.18/33.12    (4)   ~ (all_52_8 = e3)
% 196.18/33.12    (5)   ~ (all_52_8 = e1)
% 196.18/33.12    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.18/33.12           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.18/33.12           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.18/33.12                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.18/33.12               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.18/33.12               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.18/33.12           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.18/33.12           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.12               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.18/33.12           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.18/33.12               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.18/33.12           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.18/33.12           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.18/33.12               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.12               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.18/33.12               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.12         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.18/33.12           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.18/33.12           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.18/33.12               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.12             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.18/33.12    (7)   ~ (all_4_2 = e3)
% 196.18/33.12    (8)   ~ (e2 = e1)
% 196.18/33.12    (9)  op(e3, e1) = all_52_8
% 196.18/33.12  
% 196.18/33.12  Begin of proof
% 196.18/33.12  | 
% 196.18/33.12  | BETA: splitting (6) gives:
% 196.18/33.12  | 
% 196.18/33.12  | Case 1:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (10)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.18/33.12  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.18/33.12  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.18/33.12  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.18/33.12  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.18/33.12  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 196.18/33.12  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.18/33.12  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 196.18/33.12  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.18/33.12  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.18/33.12  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.18/33.12  | |               $i(all_57_2))))
% 196.18/33.12  | | 
% 196.18/33.12  | | REF_CLOSE: (1), (2), (3), (7), (8), (10) are inconsistent by sub-proof
% 196.18/33.12  | |            #1893.
% 196.18/33.12  | | 
% 196.18/33.12  | Case 2:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (11)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.18/33.12  | |           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.18/33.12  | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.18/33.12  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.18/33.12  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.12  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6
% 196.18/33.12  | |           = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.18/33.12  | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 =
% 196.18/33.12  | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.18/33.12  | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.18/33.12  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.18/33.12  | |               $i(all_57_2))))
% 196.18/33.12  | | 
% 196.18/33.12  | | BETA: splitting (11) gives:
% 196.18/33.12  | | 
% 196.18/33.12  | | Case 1:
% 196.18/33.12  | | | 
% 196.18/33.12  | | |   (12)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.18/33.12  | | |         op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.18/33.12  | | |         $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.18/33.12  | | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.18/33.12  | | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.12  | | |               e1) = all_57_8 & $i(all_57_8)))
% 196.18/33.12  | | | 
% 196.18/33.12  | | | ALPHA: (12) implies:
% 196.18/33.12  | | |   (13)  op(e3, e1) = e3
% 196.18/33.12  | | | 
% 196.18/33.12  | | | REF_CLOSE: (1), (4), (9), (13) are inconsistent by sub-proof #1759.
% 196.18/33.12  | | | 
% 196.18/33.12  | | Case 2:
% 196.18/33.12  | | | 
% 196.18/33.12  | | |   (14)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.18/33.12  | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.18/33.12  | | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.18/33.12  | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.12  | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.18/33.12  | | |               e3) = all_57_2 & $i(all_57_2)))
% 196.18/33.12  | | | 
% 196.18/33.12  | | | ALPHA: (14) implies:
% 196.18/33.12  | | |   (15)  op(e3, e1) = e1
% 196.18/33.12  | | | 
% 196.18/33.12  | | | REF_CLOSE: (1), (5), (9), (15) are inconsistent by sub-proof #1880.
% 196.18/33.12  | | | 
% 196.18/33.12  | | End of split
% 196.18/33.12  | | 
% 196.18/33.12  | End of split
% 196.18/33.12  | 
% 196.18/33.12  End of proof
% 196.18/33.12  
% 196.18/33.12  Sub-proof #858 shows that the following formulas are inconsistent:
% 196.18/33.12  ----------------------------------------------------------------
% 196.18/33.12    (1)   ~ (e3 = e2)
% 196.18/33.12    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.12    (3)  all_56_7 = e1
% 196.18/33.12    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.12         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.12    (5)   ~ (e1 = e0)
% 196.18/33.12    (6)  all_56_6 = e1
% 196.18/33.12    (7)   ~ (e2 = e1)
% 196.18/33.12    (8)   ~ (e3 = e1)
% 196.18/33.12    (9)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.12         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.12    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.18/33.12          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.18/33.12    (11)  op(e1, e1) = e3
% 196.18/33.12    (12)   ~ (e2 = e0)
% 196.18/33.12    (13)   ~ (e3 = e0)
% 196.18/33.12  
% 196.18/33.12  Begin of proof
% 196.18/33.12  | 
% 196.18/33.12  | BETA: splitting (9) gives:
% 196.18/33.12  | 
% 196.18/33.12  | Case 1:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 196.18/33.12  | |           e2)
% 196.18/33.12  | | 
% 196.18/33.12  | | REF_CLOSE: (3), (6), (7), (14) are inconsistent by sub-proof #1621.
% 196.18/33.12  | | 
% 196.18/33.12  | Case 2:
% 196.18/33.12  | | 
% 196.18/33.12  | |   (15)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 196.18/33.12  | |           e2)
% 196.18/33.12  | | 
% 196.18/33.12  | | BETA: splitting (15) gives:
% 196.18/33.12  | | 
% 196.18/33.12  | | Case 1:
% 196.18/33.12  | | | 
% 196.18/33.12  | | |   (16)  all_56_8 = e2 & op(e1, e1) = e2
% 196.18/33.12  | | | 
% 196.18/33.12  | | | ALPHA: (16) implies:
% 196.18/33.12  | | |   (17)  op(e1, e1) = e2
% 196.18/33.12  | | | 
% 196.18/33.12  | | | REF_CLOSE: (1), (2), (11), (17) are inconsistent by sub-proof #1777.
% 196.18/33.12  | | | 
% 196.18/33.12  | | Case 2:
% 196.18/33.12  | | | 
% 196.18/33.12  | | |   (18)  all_56_11 = e2 & op(e1, e0) = e2
% 196.18/33.12  | | | 
% 196.18/33.12  | | | ALPHA: (18) implies:
% 196.18/33.12  | | |   (19)  all_56_11 = e2
% 196.18/33.12  | | | 
% 196.18/33.12  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (12), (13), (19) are
% 196.18/33.12  | | |            inconsistent by sub-proof #1562.
% 196.18/33.12  | | | 
% 196.18/33.12  | | End of split
% 196.18/33.12  | | 
% 196.18/33.12  | End of split
% 196.18/33.12  | 
% 196.18/33.12  End of proof
% 196.18/33.12  
% 196.18/33.12  Sub-proof #859 shows that the following formulas are inconsistent:
% 196.18/33.12  ----------------------------------------------------------------
% 196.18/33.12    (1)   ~ (all_52_1 = all_4_2)
% 196.18/33.12    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.18/33.12         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.18/33.12    (3)   ~ (all_52_4 = e3)
% 196.18/33.12    (4)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.18/33.12    (5)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 196.18/33.12         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.18/33.12    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.18/33.12           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.18/33.12           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.18/33.12                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.18/33.12               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.18/33.12               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.18/33.12           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.18/33.12           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.12               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.18/33.12           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.18/33.12               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.18/33.12           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.18/33.12           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.18/33.12               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.12               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.18/33.12               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.12         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.18/33.12           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.18/33.12           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.18/33.12               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.12             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.12         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.18/33.12           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.18/33.12           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.18/33.12                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.18/33.12               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.18/33.12               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.18/33.12           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.18/33.12           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.12             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.12           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.12               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.18/33.12           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.18/33.12           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.18/33.12               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.18/33.12               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.18/33.12               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.12         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.18/33.12           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.18/33.12           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.18/33.12               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.18/33.12             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.12         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.18/33.12           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.18/33.12           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.18/33.12                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.18/33.12               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.18/33.12               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.18/33.12           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.18/33.12             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.18/33.12               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.12           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.18/33.12               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.18/33.12           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.18/33.12           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.18/33.12               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.12               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.12               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.18/33.12         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.18/33.12           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.18/33.12           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.18/33.12               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.18/33.12             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.18/33.12         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.12             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.12           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.12               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.12             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.12         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.18/33.12             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.12           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.18/33.12               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.18/33.12             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.12         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.18/33.12             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.18/33.12           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.18/33.12               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.18/33.12             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.12         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.18/33.12             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.18/33.12           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.18/33.12               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.18/33.12             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.18/33.12    (7)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.18/33.12         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.18/33.12    (8)   ~ (all_52_3 = e1)
% 196.18/33.12    (9)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.18/33.12    (10)  all_54_3 = all_52_12
% 196.18/33.12    (11)   ~ (all_52_3 = e3)
% 196.18/33.12    (12)   ~ (all_52_11 = e1)
% 196.18/33.12    (13)  all_54_6 = all_52_9
% 196.18/33.12    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.18/33.12          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.18/33.12    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.18/33.12          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.18/33.12    (16)   ~ (all_52_1 = all_52_9)
% 196.18/33.12    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.18/33.12          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.18/33.12    (18)  op(e0, e0) = e1
% 196.18/33.12    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.12          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.12    (20)  all_54_2 = all_52_8
% 196.18/33.12    (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.18/33.12          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.18/33.12    (22)   ~ (e3 = e2)
% 196.18/33.12    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.12            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.12    (24)  op(e3, e2) = all_52_4
% 196.18/33.12    (25)  op(e2, e2) = all_4_2
% 196.18/33.12    (26)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.18/33.12          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.18/33.12    (27)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.18/33.12          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.18/33.12    (28)   ~ (all_52_9 = e3)
% 196.18/33.12    (29)   ~ (all_52_4 = all_52_8)
% 196.18/33.13    (30)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.13          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.13    (31)   ~ (all_52_8 = e3)
% 196.18/33.13    (32)  op(e0, e3) = all_52_3
% 196.18/33.13    (33)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.13          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.18/33.13            e2)
% 196.18/33.13    (34)  op(e2, e0) = all_52_13
% 196.18/33.13    (35)  op(e1, e0) = all_52_14
% 196.18/33.13    (36)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.13          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.13    (37)   ~ (all_52_8 = all_52_9)
% 196.18/33.13    (38)   ~ (all_52_4 = all_52_12)
% 196.18/33.13    (39)   ~ (all_52_13 = e1)
% 196.18/33.13    (40)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.18/33.13              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.18/33.13            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.18/33.13            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.18/33.13            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.18/33.13            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.18/33.13            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.18/33.13            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.18/33.13            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.18/33.13            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.18/33.13            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.18/33.13            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.18/33.13            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.18/33.13            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.18/33.13            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.18/33.13            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.18/33.13            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.18/33.13            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.18/33.13            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.18/33.13            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.18/33.13            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.18/33.13            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.18/33.13            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.18/33.13            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.18/33.13            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.18/33.13            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.18/33.13            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.18/33.13            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.18/33.13            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.18/33.13            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.18/33.13            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.18/33.13            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.18/33.13            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.18/33.13            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.18/33.13            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.18/33.13            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.18/33.13            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.18/33.13            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.18/33.13            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.18/33.13            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.18/33.13            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.18/33.13            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.18/33.13            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.18/33.13            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.18/33.13            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.18/33.13            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.18/33.13            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.18/33.13            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.18/33.13              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.18/33.13            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.18/33.13            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.18/33.13              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.18/33.13            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.18/33.13            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.18/33.13                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.18/33.13                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.13                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.18/33.13                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.18/33.13                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.18/33.13                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.18/33.13                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.18/33.13              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.18/33.13                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.18/33.13                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.18/33.13                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.18/33.13                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.18/33.13                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.18/33.13                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.18/33.13                $i(all_57_7))))
% 196.18/33.13    (41)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.18/33.13          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.18/33.13    (42)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.13          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.13    (43)   ~ (all_52_12 = all_52_14)
% 196.18/33.13    (44)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 196.18/33.13    (45)   ~ (all_52_7 = e1)
% 196.18/33.13    (46)   ~ (all_52_4 = all_4_2)
% 196.18/33.13    (47)  op(e0, e1) = all_52_11
% 196.18/33.13    (48)  op(e3, e3) = e3
% 196.18/33.13    (49)   ~ (all_52_12 = e3)
% 196.18/33.13    (50)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.18/33.13            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.18/33.13              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.18/33.13    (51)   ~ (all_4_2 = e1)
% 196.18/33.13    (52)   ~ (all_52_14 = e1)
% 196.18/33.13    (53)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.13          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.18/33.13    (54)   ~ (all_4_2 = e3)
% 196.18/33.13    (55)   ~ (all_52_8 = all_52_12)
% 196.18/33.13    (56)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.18/33.13          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.18/33.13    (57)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.18/33.13    (58)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.18/33.13          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.18/33.13    (59)   ~ (e1 = e0)
% 196.18/33.13    (60)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.18/33.13          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.18/33.13    (61)   ~ (all_52_8 = all_52_11)
% 196.18/33.13    (62)  all_54_5 = all_4_2
% 196.18/33.13    (63)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.18/33.13              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.18/33.13                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.18/33.13                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.18/33.13    (64)   ~ (e2 = e1)
% 196.18/33.13    (65)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.13          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.18/33.13    (66)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.18/33.13    (67)   ~ (all_52_12 = e1)
% 196.18/33.13    (68)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 196.18/33.13            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 196.18/33.13              e1) = all_16_1 & $i(all_16_1))
% 196.18/33.13    (69)  op(e3, e0) = all_52_12
% 196.18/33.13    (70)  all_36_2 = all_4_2
% 196.18/33.13    (71)   ~ (all_52_9 = all_4_2)
% 196.18/33.13    (72)  op(e2, e1) = all_52_9
% 196.18/33.13    (73)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.18/33.13            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.18/33.13              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.18/33.13    (74)  op(e3, e1) = all_52_8
% 196.18/33.13    (75)   ~ (all_52_9 = all_52_13)
% 196.18/33.13    (76)   ~ (e3 = e1)
% 196.18/33.13    (77)  all_54_1 = all_52_4
% 196.18/33.13    (78)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.13          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.13    (79)  op(e0, e2) = all_52_7
% 196.18/33.13    (80)  op(e1, e1) = e3
% 196.18/33.13    (81)   ~ (e2 = e0)
% 196.18/33.13    (82)  op(e2, e3) = all_52_1
% 196.18/33.13    (83)   ~ (e3 = e0)
% 196.18/33.13    (84)  all_32_2 = all_4_2
% 196.18/33.13    (85)   ~ (all_52_3 = all_52_11)
% 196.18/33.13  
% 196.18/33.13  Begin of proof
% 196.18/33.13  | 
% 196.18/33.13  | BETA: splitting (5) gives:
% 196.18/33.13  | 
% 196.18/33.13  | Case 1:
% 196.18/33.13  | | 
% 196.18/33.13  | |   (86)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 196.18/33.13  | |           e3)
% 196.18/33.13  | | 
% 196.18/33.13  | | BETA: splitting (86) gives:
% 196.18/33.13  | | 
% 196.18/33.13  | | Case 1:
% 196.18/33.13  | | | 
% 196.18/33.13  | | |   (87)  all_56_12 = e3 & op(e0, e3) = e3
% 196.18/33.13  | | | 
% 196.18/33.13  | | | ALPHA: (87) implies:
% 196.18/33.13  | | |   (88)  all_56_12 = e3
% 196.18/33.13  | | | 
% 196.18/33.13  | | | BETA: splitting (36) gives:
% 196.18/33.13  | | | 
% 196.18/33.13  | | | Case 1:
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | |   (89)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 196.18/33.13  | | | |           = e3)
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | | REF_CLOSE: (17), (22), (23), (25), (41), (48), (54), (56), (59), (64),
% 196.18/33.13  | | | |            (67), (69), (76), (81), (83), (89) are inconsistent by
% 196.18/33.13  | | | |            sub-proof #890.
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | Case 2:
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | |   (90)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2)
% 196.18/33.13  | | | |           = e3)
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | | REF_CLOSE: (18), (22), (23), (30), (33), (35), (42), (52), (59), (63),
% 196.18/33.13  | | | |            (64), (76), (78), (80), (81), (83), (88), (90) are
% 196.18/33.13  | | | |            inconsistent by sub-proof #887.
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | End of split
% 196.18/33.13  | | | 
% 196.18/33.13  | | Case 2:
% 196.18/33.13  | | | 
% 196.18/33.13  | | |   (91)  all_56_13 = e3 & op(e0, e2) = e3
% 196.18/33.13  | | | 
% 196.18/33.13  | | | ALPHA: (91) implies:
% 196.18/33.13  | | |   (92)  all_56_13 = e3
% 196.18/33.13  | | | 
% 196.18/33.13  | | | BETA: splitting (53) gives:
% 196.18/33.13  | | | 
% 196.18/33.13  | | | Case 1:
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | |   (93)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2)
% 196.18/33.13  | | | |           = e3)
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | | REF_CLOSE: (8), (15), (18), (21), (22), (23), (25), (30), (32), (34),
% 196.18/33.13  | | | |            (39), (48), (49), (51), (53), (54), (58), (59), (60), (64),
% 196.18/33.13  | | | |            (65), (69), (76), (78), (80), (81), (83), (93) are
% 196.18/33.13  | | | |            inconsistent by sub-proof #883.
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | Case 2:
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | |   (94)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0)
% 196.18/33.13  | | | |           = e3)
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | | BETA: splitting (94) gives:
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | | Case 1:
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | |   (95)  all_56_5 = e3 & op(e2, e1) = e3
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | | ALPHA: (95) implies:
% 196.18/33.13  | | | | |   (96)  all_56_5 = e3
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | | REF_CLOSE: (12), (14), (22), (23), (26), (27), (47), (59), (64), (76),
% 196.18/33.13  | | | | |            (80), (81), (83), (96) are inconsistent by sub-proof #1092.
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | Case 2:
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | |   (97)  all_56_10 = e3 & op(e2, e0) = e3
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | | ALPHA: (97) implies:
% 196.18/33.13  | | | | |   (98)  op(e2, e0) = e3
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12),
% 196.18/33.13  | | | | |            (13), (14), (16), (17), (18), (19), (20), (22), (23), (24),
% 196.18/33.13  | | | | |            (25), (26), (28), (29), (30), (31), (32), (34), (35), (36),
% 196.18/33.13  | | | | |            (37), (38), (39), (40), (42), (43), (44), (45), (46), (47),
% 196.18/33.13  | | | | |            (48), (49), (50), (51), (52), (54), (55), (57), (58), (59),
% 196.18/33.13  | | | | |            (61), (62), (64), (65), (66), (67), (68), (69), (70), (71),
% 196.18/33.13  | | | | |            (72), (73), (74), (75), (76), (77), (79), (80), (81), (82),
% 196.18/33.13  | | | | |            (83), (84), (85), (92), (98) are inconsistent by sub-proof
% 196.18/33.13  | | | | |            #863.
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | End of split
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | End of split
% 196.18/33.13  | | | 
% 196.18/33.13  | | End of split
% 196.18/33.13  | | 
% 196.18/33.13  | Case 2:
% 196.18/33.13  | | 
% 196.18/33.13  | |   (99)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 196.18/33.13  | |           e3)
% 196.18/33.13  | | 
% 196.18/33.13  | | BETA: splitting (99) gives:
% 196.18/33.13  | | 
% 196.18/33.13  | | Case 1:
% 196.18/33.13  | | | 
% 196.18/33.13  | | |   (100)  all_56_14 = e3 & op(e0, e1) = e3
% 196.18/33.13  | | | 
% 196.18/33.13  | | | ALPHA: (100) implies:
% 196.18/33.13  | | |   (101)  all_56_14 = e3
% 196.18/33.13  | | | 
% 196.18/33.13  | | | BETA: splitting (53) gives:
% 196.18/33.13  | | | 
% 196.18/33.13  | | | Case 1:
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | |   (102)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2)
% 196.18/33.13  | | | |            = e3)
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | | REF_CLOSE: (8), (15), (18), (21), (22), (23), (25), (30), (32), (34),
% 196.18/33.13  | | | |            (39), (48), (49), (51), (53), (54), (58), (59), (60), (64),
% 196.18/33.13  | | | |            (65), (69), (76), (78), (80), (81), (83), (102) are
% 196.18/33.13  | | | |            inconsistent by sub-proof #883.
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | Case 2:
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | |   (103)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2,
% 196.18/33.13  | | | |              e0) = e3)
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | | BETA: splitting (103) gives:
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | | Case 1:
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | |   (104)  all_56_5 = e3 & op(e2, e1) = e3
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | | ALPHA: (104) implies:
% 196.18/33.13  | | | | |   (105)  all_56_5 = e3
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | | REF_CLOSE: (12), (14), (22), (23), (26), (27), (47), (59), (64), (76),
% 196.18/33.13  | | | | |            (80), (81), (83), (105) are inconsistent by sub-proof
% 196.18/33.13  | | | | |            #1092.
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | Case 2:
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | |   (106)  all_56_10 = e3 & op(e2, e0) = e3
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | | ALPHA: (106) implies:
% 196.18/33.13  | | | | |   (107)  op(e2, e0) = e3
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12),
% 196.18/33.13  | | | | |            (13), (14), (16), (17), (18), (19), (20), (22), (23), (24),
% 196.18/33.13  | | | | |            (25), (26), (28), (29), (30), (31), (32), (34), (35), (36),
% 196.18/33.13  | | | | |            (37), (38), (39), (40), (42), (43), (44), (45), (46), (47),
% 196.18/33.13  | | | | |            (48), (49), (50), (51), (52), (54), (55), (57), (58), (59),
% 196.18/33.13  | | | | |            (61), (62), (64), (65), (66), (67), (68), (69), (70), (71),
% 196.18/33.13  | | | | |            (72), (73), (74), (75), (76), (77), (78), (79), (80), (81),
% 196.18/33.13  | | | | |            (82), (83), (84), (85), (101), (107) are inconsistent by
% 196.18/33.13  | | | | |            sub-proof #860.
% 196.18/33.13  | | | | | 
% 196.18/33.13  | | | | End of split
% 196.18/33.13  | | | | 
% 196.18/33.13  | | | End of split
% 196.18/33.13  | | | 
% 196.18/33.13  | | Case 2:
% 196.18/33.13  | | | 
% 196.18/33.13  | | |   (108)  all_56_15 = e3 & op(e0, e0) = e3
% 196.18/33.13  | | | 
% 196.18/33.13  | | | ALPHA: (108) implies:
% 196.18/33.13  | | |   (109)  op(e0, e0) = e3
% 196.18/33.13  | | | 
% 196.18/33.13  | | | REF_CLOSE: (18), (23), (76), (109) are inconsistent by sub-proof #1392.
% 196.18/33.13  | | | 
% 196.18/33.13  | | End of split
% 196.18/33.13  | | 
% 196.18/33.13  | End of split
% 196.18/33.13  | 
% 196.18/33.13  End of proof
% 196.18/33.13  
% 196.18/33.13  Sub-proof #860 shows that the following formulas are inconsistent:
% 196.18/33.13  ----------------------------------------------------------------
% 196.18/33.13    (1)   ~ (all_52_1 = all_4_2)
% 196.18/33.13    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.18/33.13         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.18/33.13    (3)   ~ (all_52_4 = e3)
% 196.18/33.13    (4)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.18/33.13    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.18/33.13           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.18/33.13           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.18/33.13                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.18/33.13               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.18/33.13               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.18/33.13           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.18/33.13           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.13               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.18/33.13           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.18/33.13               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.18/33.13           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.18/33.13           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.18/33.13               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.13               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.18/33.13               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.13         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.18/33.13           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.18/33.13           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.18/33.13               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.13             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.13         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.18/33.13           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.18/33.13           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.18/33.13                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.18/33.13               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.18/33.13               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.18/33.13           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.18/33.13           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.13             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.13           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.13               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.18/33.13           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.18/33.13           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.18/33.13               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.18/33.13               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.18/33.13               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.13         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.18/33.13           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.18/33.13           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.18/33.13               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.18/33.13             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.13         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.18/33.13           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.18/33.13           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.18/33.13                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.18/33.13               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.18/33.13               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.18/33.13           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.18/33.13             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.18/33.13               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.13           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.18/33.13               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.18/33.13           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.18/33.13           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.18/33.13               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.13               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.13               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.18/33.13         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.18/33.13           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.18/33.13           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.18/33.13               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.18/33.13             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.18/33.13         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.13             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.13           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.13               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.13             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.13         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.18/33.13             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.13           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.18/33.13               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.18/33.13             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.13         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.18/33.13             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.18/33.13           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.18/33.13               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.18/33.13             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.13         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.18/33.13             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.18/33.13           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.18/33.13               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.18/33.13             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.18/33.13    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.18/33.13         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.18/33.13    (7)   ~ (all_52_3 = e1)
% 196.18/33.13    (8)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.18/33.13    (9)  all_54_3 = all_52_12
% 196.18/33.13    (10)   ~ (all_52_3 = e3)
% 196.18/33.13    (11)   ~ (all_52_11 = e1)
% 196.18/33.13    (12)  all_54_6 = all_52_9
% 196.18/33.13    (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.18/33.13          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.18/33.13    (14)   ~ (all_52_1 = all_52_9)
% 196.18/33.13    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.18/33.13          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.18/33.13    (16)  op(e0, e0) = e1
% 196.18/33.13    (17)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.13          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.13    (18)  all_54_2 = all_52_8
% 196.18/33.13    (19)   ~ (e3 = e2)
% 196.18/33.13    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.13            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.13    (21)  op(e3, e2) = all_52_4
% 196.18/33.13    (22)  op(e2, e2) = all_4_2
% 196.18/33.13    (23)  op(e2, e0) = e3
% 196.18/33.13    (24)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.18/33.13          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.18/33.13    (25)   ~ (all_52_9 = e3)
% 196.18/33.13    (26)   ~ (all_52_4 = all_52_8)
% 196.18/33.13    (27)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.13          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.13    (28)   ~ (all_52_8 = e3)
% 196.18/33.13    (29)  op(e0, e3) = all_52_3
% 196.18/33.13    (30)  op(e2, e0) = all_52_13
% 196.18/33.13    (31)  op(e1, e0) = all_52_14
% 196.18/33.13    (32)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.13          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.13    (33)   ~ (all_52_8 = all_52_9)
% 196.18/33.13    (34)   ~ (all_52_4 = all_52_12)
% 196.18/33.13    (35)   ~ (all_52_13 = e1)
% 196.18/33.13    (36)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.18/33.13              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.18/33.13            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.18/33.13            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.18/33.13            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.18/33.13            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.18/33.13            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.18/33.13            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.18/33.13            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.18/33.13            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.18/33.13            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.18/33.13            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.18/33.13            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.18/33.13            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.18/33.13            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.18/33.13            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.18/33.13            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.18/33.13            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.18/33.13            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.18/33.13            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.18/33.13            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.18/33.13            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.18/33.13            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.18/33.13            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.18/33.13            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.18/33.13            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.18/33.13            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.18/33.13            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.18/33.13            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.18/33.13            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.18/33.13            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.18/33.13            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.18/33.13            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.18/33.13            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.18/33.13            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.18/33.13            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.18/33.13            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.18/33.13            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.18/33.13            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.18/33.13            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.18/33.13            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.18/33.13            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.18/33.13            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.18/33.13            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.18/33.13            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.18/33.13            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.18/33.13            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.18/33.13            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.18/33.13              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.18/33.13            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.18/33.13            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.18/33.13              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.18/33.13            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.18/33.13            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.18/33.13                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.18/33.13                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.13                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.18/33.13                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.18/33.13                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.18/33.13                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.18/33.13                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.18/33.13              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.18/33.13                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.18/33.13                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.18/33.13                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.18/33.13                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.18/33.13                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.18/33.13                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.18/33.13                $i(all_57_7))))
% 196.18/33.13    (37)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.13          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.13    (38)   ~ (all_52_12 = all_52_14)
% 196.18/33.13    (39)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 196.18/33.13    (40)   ~ (all_52_7 = e1)
% 196.18/33.13    (41)   ~ (all_52_4 = all_4_2)
% 196.18/33.14    (42)  op(e0, e1) = all_52_11
% 196.18/33.14    (43)  op(e3, e3) = e3
% 196.18/33.14    (44)   ~ (all_52_12 = e3)
% 196.18/33.14    (45)  all_56_14 = e3
% 196.18/33.14    (46)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.18/33.14            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.18/33.14              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.18/33.14    (47)   ~ (all_4_2 = e1)
% 196.18/33.14    (48)   ~ (all_52_14 = e1)
% 196.18/33.14    (49)   ~ (all_4_2 = e3)
% 196.18/33.14    (50)   ~ (all_52_8 = all_52_12)
% 196.18/33.14    (51)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.18/33.14    (52)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.18/33.14          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.18/33.14    (53)   ~ (e1 = e0)
% 196.18/33.14    (54)   ~ (all_52_8 = all_52_11)
% 196.18/33.14    (55)  all_54_5 = all_4_2
% 196.18/33.14    (56)   ~ (e2 = e1)
% 196.18/33.14    (57)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.14          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.18/33.14    (58)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.18/33.14    (59)   ~ (all_52_12 = e1)
% 196.18/33.14    (60)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 196.18/33.14            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 196.18/33.14              e1) = all_16_1 & $i(all_16_1))
% 196.18/33.14    (61)  op(e3, e0) = all_52_12
% 196.18/33.14    (62)  all_36_2 = all_4_2
% 196.18/33.14    (63)   ~ (all_52_9 = all_4_2)
% 196.18/33.14    (64)  op(e2, e1) = all_52_9
% 196.18/33.14    (65)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.18/33.14            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.18/33.14              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.18/33.14    (66)  op(e3, e1) = all_52_8
% 196.18/33.14    (67)   ~ (all_52_9 = all_52_13)
% 196.18/33.14    (68)   ~ (e3 = e1)
% 196.18/33.14    (69)  all_54_1 = all_52_4
% 196.18/33.14    (70)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.18/33.14          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.18/33.14    (71)  op(e0, e2) = all_52_7
% 196.18/33.14    (72)  op(e1, e1) = e3
% 196.18/33.14    (73)   ~ (e2 = e0)
% 196.18/33.14    (74)  op(e2, e3) = all_52_1
% 196.18/33.14    (75)   ~ (e3 = e0)
% 196.18/33.14    (76)  all_32_2 = all_4_2
% 196.18/33.14    (77)   ~ (all_52_3 = all_52_11)
% 196.18/33.14  
% 196.18/33.14  Begin of proof
% 196.18/33.14  | 
% 196.18/33.14  | BETA: splitting (32) gives:
% 196.18/33.14  | 
% 196.18/33.14  | Case 1:
% 196.18/33.14  | | 
% 196.18/33.14  | |   (78)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 196.18/33.14  | |           e3)
% 196.18/33.14  | | 
% 196.18/33.14  | | BETA: splitting (78) gives:
% 196.18/33.14  | | 
% 196.18/33.14  | | Case 1:
% 196.18/33.14  | | | 
% 196.18/33.14  | | |   (79)  all_56_1 = e3 & op(e3, e2) = e3
% 196.18/33.14  | | | 
% 196.18/33.14  | | | ALPHA: (79) implies:
% 196.18/33.14  | | |   (80)  all_56_1 = e3
% 196.18/33.14  | | | 
% 196.18/33.14  | | | BETA: splitting (15) gives:
% 196.18/33.14  | | | 
% 196.18/33.14  | | | Case 1:
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | |   (81)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2)
% 196.18/33.14  | | | |           = e1)
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | REF_CLOSE: (20), (43), (68), (80), (81) are inconsistent by sub-proof
% 196.18/33.14  | | | |            #1881.
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | Case 2:
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | |   (82)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0)
% 196.18/33.14  | | | |           = e1)
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | BETA: splitting (82) gives:
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | Case 1:
% 196.18/33.14  | | | | | 
% 196.18/33.14  | | | | |   (83)  all_56_4 = e1 & op(e3, e1) = e1
% 196.18/33.14  | | | | | 
% 196.18/33.14  | | | | | ALPHA: (83) implies:
% 196.18/33.14  | | | | |   (84)  all_56_4 = e1
% 196.18/33.14  | | | | | 
% 196.18/33.14  | | | | | BETA: splitting (13) gives:
% 196.18/33.14  | | | | | 
% 196.18/33.14  | | | | | Case 1:
% 196.18/33.14  | | | | | | 
% 196.18/33.14  | | | | | |   (85)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2,
% 196.18/33.14  | | | | | |             e1) = e0)
% 196.18/33.14  | | | | | | 
% 196.18/33.14  | | | | | | BETA: splitting (85) gives:
% 196.18/33.14  | | | | | | 
% 196.18/33.14  | | | | | | Case 1:
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | |   (86)  all_56_4 = e0 & op(e3, e1) = e0
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | | REF_CLOSE: (53), (84), (86) are inconsistent by sub-proof #1500.
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | Case 2:
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | |   (87)  all_56_5 = e0 & op(e2, e1) = e0
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | | ALPHA: (87) implies:
% 196.18/33.14  | | | | | | |   (88)  all_56_5 = e0
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | | BETA: splitting (24) gives:
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | | Case 1:
% 196.18/33.14  | | | | | | | | 
% 196.18/33.14  | | | | | | | |   (89)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 &
% 196.18/33.14  | | | | | | | |           op(e2, e1) = e2)
% 196.18/33.14  | | | | | | | | 
% 196.18/33.14  | | | | | | | | BETA: splitting (89) gives:
% 196.18/33.14  | | | | | | | | 
% 196.18/33.14  | | | | | | | | Case 1:
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | |   (90)  all_56_4 = e2 & op(e3, e1) = e2
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | | ALPHA: (90) implies:
% 196.18/33.14  | | | | | | | | |   (91)  all_56_4 = e2
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | | REF_CLOSE: (15), (20), (43), (56), (59), (61), (68), (80),
% 196.18/33.14  | | | | | | | | |            (91) are inconsistent by sub-proof #1401.
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | Case 2:
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | |   (92)  all_56_5 = e2 & op(e2, e1) = e2
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | | REF_CLOSE: (73), (88), (92) are inconsistent by sub-proof
% 196.18/33.14  | | | | | | | | |            #862.
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | End of split
% 196.18/33.14  | | | | | | | | 
% 196.18/33.14  | | | | | | | Case 2:
% 196.18/33.14  | | | | | | | | 
% 196.18/33.14  | | | | | | | |   (93)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 &
% 196.18/33.14  | | | | | | | |           op(e0, e1) = e2)
% 196.18/33.14  | | | | | | | | 
% 196.18/33.14  | | | | | | | | BETA: splitting (93) gives:
% 196.18/33.14  | | | | | | | | 
% 196.18/33.14  | | | | | | | | Case 1:
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | |   (94)  all_56_8 = e2 & op(e1, e1) = e2
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | | ALPHA: (94) implies:
% 196.18/33.14  | | | | | | | | |   (95)  op(e1, e1) = e2
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | | REF_CLOSE: (19), (20), (72), (95) are inconsistent by
% 196.18/33.14  | | | | | | | | |            sub-proof #1777.
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | Case 2:
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | |   (96)  all_56_14 = e2 & op(e0, e1) = e2
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | | ALPHA: (96) implies:
% 196.18/33.14  | | | | | | | | |   (97)  all_56_14 = e2
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | | REF_CLOSE: (19), (45), (97) are inconsistent by sub-proof
% 196.18/33.14  | | | | | | | | |            #1495.
% 196.18/33.14  | | | | | | | | | 
% 196.18/33.14  | | | | | | | | End of split
% 196.18/33.14  | | | | | | | | 
% 196.18/33.14  | | | | | | | End of split
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | End of split
% 196.18/33.14  | | | | | | 
% 196.18/33.14  | | | | | Case 2:
% 196.18/33.14  | | | | | | 
% 196.18/33.14  | | | | | |   (98)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0,
% 196.18/33.14  | | | | | |             e1) = e0)
% 196.18/33.14  | | | | | | 
% 196.18/33.14  | | | | | | BETA: splitting (98) gives:
% 196.18/33.14  | | | | | | 
% 196.18/33.14  | | | | | | Case 1:
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | |   (99)  all_56_8 = e0 & op(e1, e1) = e0
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | | ALPHA: (99) implies:
% 196.18/33.14  | | | | | | |   (100)  op(e1, e1) = e0
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | | REF_CLOSE: (20), (72), (75), (100) are inconsistent by sub-proof
% 196.18/33.14  | | | | | | |            #1824.
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | Case 2:
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | |   (101)  all_56_14 = e0 & op(e0, e1) = e0
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | | REF_CLOSE: (45), (75), (101) are inconsistent by sub-proof #861.
% 196.18/33.14  | | | | | | | 
% 196.18/33.14  | | | | | | End of split
% 196.18/33.14  | | | | | | 
% 196.18/33.14  | | | | | End of split
% 196.18/33.14  | | | | | 
% 196.18/33.14  | | | | Case 2:
% 196.18/33.14  | | | | | 
% 196.18/33.14  | | | | |   (102)  all_56_9 = e1 & op(e3, e0) = e1
% 196.18/33.14  | | | | | 
% 196.18/33.14  | | | | | ALPHA: (102) implies:
% 196.18/33.14  | | | | |   (103)  op(e3, e0) = e1
% 196.18/33.14  | | | | | 
% 196.18/33.14  | | | | | REF_CLOSE: (20), (59), (61), (103) are inconsistent by sub-proof
% 196.18/33.14  | | | | |            #1949.
% 196.18/33.14  | | | | | 
% 196.18/33.14  | | | | End of split
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | End of split
% 196.18/33.14  | | | 
% 196.18/33.14  | | Case 2:
% 196.18/33.14  | | | 
% 196.18/33.14  | | |   (104)  all_56_3 = e3 & op(e2, e2) = e3
% 196.18/33.14  | | | 
% 196.18/33.14  | | | ALPHA: (104) implies:
% 196.18/33.14  | | |   (105)  op(e2, e2) = e3
% 196.18/33.14  | | | 
% 196.18/33.14  | | | REF_CLOSE: (20), (22), (49), (105) are inconsistent by sub-proof #1975.
% 196.18/33.14  | | | 
% 196.18/33.14  | | End of split
% 196.18/33.14  | | 
% 196.18/33.14  | Case 2:
% 196.18/33.14  | | 
% 196.18/33.14  | |   (106)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 196.18/33.14  | |            e3)
% 196.18/33.14  | | 
% 196.18/33.14  | | BETA: splitting (106) gives:
% 196.18/33.14  | | 
% 196.18/33.14  | | Case 1:
% 196.18/33.14  | | | 
% 196.18/33.14  | | |   (107)  all_56_7 = e3 & op(e1, e2) = e3
% 196.18/33.14  | | | 
% 196.18/33.14  | | | ALPHA: (107) implies:
% 196.18/33.14  | | |   (108)  all_56_7 = e3
% 196.18/33.14  | | | 
% 196.18/33.14  | | | REF_CLOSE: (19), (20), (27), (31), (37), (48), (53), (56), (68), (70),
% 196.18/33.14  | | |            (72), (73), (75), (108) are inconsistent by sub-proof #1769.
% 196.18/33.14  | | | 
% 196.18/33.14  | | Case 2:
% 196.18/33.14  | | | 
% 196.18/33.14  | | |   (109)  all_56_13 = e3 & op(e0, e2) = e3
% 196.18/33.14  | | | 
% 196.18/33.14  | | | ALPHA: (109) implies:
% 196.18/33.14  | | |   (110)  all_56_13 = e3
% 196.18/33.14  | | | 
% 196.18/33.14  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.18/33.14  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 196.18/33.14  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 196.18/33.14  | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 196.18/33.14  | | |            (43), (44), (46), (47), (48), (49), (50), (51), (52), (53),
% 196.18/33.14  | | |            (54), (55), (56), (57), (58), (59), (60), (61), (62), (63),
% 196.18/33.14  | | |            (64), (65), (66), (67), (68), (69), (71), (72), (73), (74),
% 196.18/33.14  | | |            (75), (76), (77), (110) are inconsistent by sub-proof #863.
% 196.18/33.14  | | | 
% 196.18/33.14  | | End of split
% 196.18/33.14  | | 
% 196.18/33.14  | End of split
% 196.18/33.14  | 
% 196.18/33.14  End of proof
% 196.18/33.14  
% 196.18/33.14  Sub-proof #861 shows that the following formulas are inconsistent:
% 196.18/33.14  ----------------------------------------------------------------
% 196.18/33.14    (1)  all_56_14 = e0 & op(e0, e1) = e0
% 196.18/33.14    (2)  all_56_14 = e3
% 196.18/33.14    (3)   ~ (e3 = e0)
% 196.18/33.14  
% 196.18/33.14  Begin of proof
% 196.18/33.14  | 
% 196.18/33.14  | ALPHA: (1) implies:
% 196.18/33.14  |   (4)  all_56_14 = e0
% 196.18/33.14  | 
% 196.18/33.14  | COMBINE_EQS: (2), (4) imply:
% 196.18/33.14  |   (5)  e3 = e0
% 196.18/33.14  | 
% 196.18/33.14  | REDUCE: (3), (5) imply:
% 196.18/33.14  |   (6)  $false
% 196.18/33.14  | 
% 196.18/33.14  | CLOSE: (6) is inconsistent.
% 196.18/33.14  | 
% 196.18/33.14  End of proof
% 196.18/33.14  
% 196.18/33.14  Sub-proof #862 shows that the following formulas are inconsistent:
% 196.18/33.14  ----------------------------------------------------------------
% 196.18/33.14    (1)  all_56_5 = e2 & op(e2, e1) = e2
% 196.18/33.14    (2)  all_56_5 = e0
% 196.18/33.14    (3)   ~ (e2 = e0)
% 196.18/33.14  
% 196.18/33.14  Begin of proof
% 196.18/33.14  | 
% 196.18/33.14  | ALPHA: (1) implies:
% 196.18/33.14  |   (4)  all_56_5 = e2
% 196.18/33.14  | 
% 196.18/33.14  | COMBINE_EQS: (2), (4) imply:
% 196.18/33.14  |   (5)  e2 = e0
% 196.18/33.14  | 
% 196.18/33.14  | REDUCE: (3), (5) imply:
% 196.18/33.14  |   (6)  $false
% 196.18/33.14  | 
% 196.18/33.14  | CLOSE: (6) is inconsistent.
% 196.18/33.14  | 
% 196.18/33.14  End of proof
% 196.18/33.14  
% 196.18/33.14  Sub-proof #863 shows that the following formulas are inconsistent:
% 196.18/33.14  ----------------------------------------------------------------
% 196.18/33.14    (1)   ~ (all_52_1 = all_4_2)
% 196.18/33.14    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.18/33.14         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.18/33.14    (3)   ~ (all_52_4 = e3)
% 196.18/33.14    (4)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.18/33.14    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.18/33.14           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.18/33.14           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.18/33.14                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.18/33.14               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.18/33.14               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.18/33.14           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.18/33.14           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.14               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.18/33.14           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.18/33.14               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.18/33.14           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.18/33.14           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.18/33.14               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.14               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.18/33.14               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.14         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.18/33.14           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.18/33.14           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.18/33.14               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.14             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.14         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.18/33.14           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.18/33.14           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.18/33.14                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.18/33.14               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.18/33.14               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.18/33.14           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.18/33.14           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.14             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.14           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.14               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.18/33.14           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.18/33.14           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.18/33.14               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.18/33.14               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.18/33.14               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.14         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.18/33.14           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.18/33.14           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.18/33.14               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.18/33.14             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.14         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.18/33.14           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.18/33.14           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.18/33.14                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.18/33.14               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.18/33.14               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.18/33.14           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.18/33.14             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.18/33.14               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.14           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.18/33.14               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.18/33.14           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.18/33.14           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.18/33.14               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.14               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.14               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.18/33.14         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.18/33.14           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.18/33.14           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.18/33.14               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.18/33.14             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.18/33.14         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.14             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.14           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.14               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.14             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.14         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.18/33.14             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.14           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.18/33.14               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.18/33.14             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.14         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.18/33.14             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.18/33.14           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.18/33.14               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.18/33.14             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.14         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.18/33.14             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.18/33.14           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.18/33.14               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.18/33.14             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.18/33.14    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.18/33.14         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.18/33.14    (7)   ~ (all_52_3 = e1)
% 196.18/33.14    (8)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.18/33.14    (9)  all_54_3 = all_52_12
% 196.18/33.14    (10)   ~ (all_52_3 = e3)
% 196.18/33.14    (11)   ~ (all_52_11 = e1)
% 196.18/33.14    (12)  all_54_6 = all_52_9
% 196.18/33.14    (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.18/33.14          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.18/33.14    (14)   ~ (all_52_1 = all_52_9)
% 196.18/33.14    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.18/33.14          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.18/33.14    (16)  op(e0, e0) = e1
% 196.18/33.14    (17)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.14          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.14    (18)  all_54_2 = all_52_8
% 196.18/33.14    (19)   ~ (e3 = e2)
% 196.18/33.14    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.14            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.14    (21)  all_56_13 = e3
% 196.18/33.14    (22)  op(e3, e2) = all_52_4
% 196.18/33.14    (23)  op(e2, e2) = all_4_2
% 196.18/33.14    (24)  op(e2, e0) = e3
% 196.18/33.14    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.18/33.14          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.18/33.14    (26)   ~ (all_52_9 = e3)
% 196.18/33.14    (27)   ~ (all_52_4 = all_52_8)
% 196.18/33.14    (28)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.14          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.14    (29)   ~ (all_52_8 = e3)
% 196.18/33.14    (30)  op(e0, e3) = all_52_3
% 196.18/33.14    (31)  op(e2, e0) = all_52_13
% 196.18/33.14    (32)  op(e1, e0) = all_52_14
% 196.18/33.14    (33)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.14          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.14    (34)   ~ (all_52_8 = all_52_9)
% 196.18/33.14    (35)   ~ (all_52_4 = all_52_12)
% 196.18/33.14    (36)   ~ (all_52_13 = e1)
% 196.18/33.14    (37)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.18/33.14              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.18/33.14            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.18/33.14            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.18/33.14            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.18/33.14            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.18/33.14            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.18/33.14            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.18/33.14            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.18/33.14            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.18/33.14            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.18/33.14            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.18/33.14            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.18/33.14            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.18/33.14            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.18/33.14            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.18/33.14            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.18/33.14            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.18/33.14            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.18/33.14            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.18/33.14            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.18/33.14            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.18/33.14            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.18/33.14            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.18/33.14            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.18/33.14            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.18/33.14            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.18/33.14            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.18/33.14            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.18/33.14            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.18/33.14            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.18/33.14            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.18/33.14            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.18/33.14            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.18/33.14            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.18/33.14            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.18/33.14            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.18/33.14            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.18/33.14            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.18/33.14            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.18/33.14            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.18/33.14            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.18/33.14            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.18/33.14            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.18/33.14            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.18/33.14            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.18/33.14            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.18/33.14            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.18/33.14              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.18/33.14            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.18/33.14            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.18/33.14              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.18/33.14            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.18/33.14            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.18/33.14                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.18/33.14                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.14                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.18/33.14                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.18/33.14                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.18/33.14                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.18/33.14                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.18/33.14              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.18/33.14                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.18/33.14                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.18/33.14                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.18/33.14                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.18/33.14                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.18/33.14                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.18/33.14                $i(all_57_7))))
% 196.18/33.14    (38)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.14          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.14    (39)   ~ (all_52_12 = all_52_14)
% 196.18/33.14    (40)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 196.18/33.14    (41)   ~ (all_52_7 = e1)
% 196.18/33.14    (42)   ~ (all_52_4 = all_4_2)
% 196.18/33.14    (43)  op(e0, e1) = all_52_11
% 196.18/33.14    (44)  op(e3, e3) = e3
% 196.18/33.14    (45)   ~ (all_52_12 = e3)
% 196.18/33.14    (46)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.18/33.14            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.18/33.14              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.18/33.14    (47)   ~ (all_4_2 = e1)
% 196.18/33.14    (48)   ~ (all_52_14 = e1)
% 196.18/33.14    (49)   ~ (all_4_2 = e3)
% 196.18/33.14    (50)   ~ (all_52_8 = all_52_12)
% 196.18/33.14    (51)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.18/33.14    (52)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.18/33.14          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.18/33.14    (53)   ~ (e1 = e0)
% 196.18/33.14    (54)   ~ (all_52_8 = all_52_11)
% 196.18/33.14    (55)  all_54_5 = all_4_2
% 196.18/33.14    (56)   ~ (e2 = e1)
% 196.18/33.14    (57)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.14          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.18/33.14    (58)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.18/33.14    (59)   ~ (all_52_12 = e1)
% 196.18/33.14    (60)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 196.18/33.14            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 196.18/33.14              e1) = all_16_1 & $i(all_16_1))
% 196.18/33.14    (61)  op(e3, e0) = all_52_12
% 196.18/33.14    (62)  all_36_2 = all_4_2
% 196.18/33.14    (63)   ~ (all_52_9 = all_4_2)
% 196.18/33.14    (64)  op(e2, e1) = all_52_9
% 196.18/33.14    (65)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.18/33.14            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.18/33.14              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.18/33.14    (66)  op(e3, e1) = all_52_8
% 196.18/33.14    (67)   ~ (all_52_9 = all_52_13)
% 196.18/33.14    (68)   ~ (e3 = e1)
% 196.18/33.14    (69)  all_54_1 = all_52_4
% 196.18/33.14    (70)  op(e0, e2) = all_52_7
% 196.18/33.14    (71)  op(e1, e1) = e3
% 196.18/33.14    (72)   ~ (e2 = e0)
% 196.18/33.14    (73)  op(e2, e3) = all_52_1
% 196.18/33.14    (74)   ~ (e3 = e0)
% 196.18/33.14    (75)  all_32_2 = all_4_2
% 196.18/33.14    (76)   ~ (all_52_3 = all_52_11)
% 196.18/33.14  
% 196.18/33.14  Begin of proof
% 196.18/33.14  | 
% 196.18/33.14  | BETA: splitting (65) gives:
% 196.18/33.14  | 
% 196.18/33.14  | Case 1:
% 196.18/33.14  | | 
% 196.18/33.14  | |   (77)   ~ (all_32_2 = e0)
% 196.18/33.14  | | 
% 196.18/33.14  | | REDUCE: (75), (77) imply:
% 196.18/33.14  | |   (78)   ~ (all_4_2 = e0)
% 196.18/33.14  | | 
% 196.18/33.14  | | BETA: splitting (4) gives:
% 196.18/33.14  | | 
% 196.18/33.14  | | Case 1:
% 196.18/33.14  | | | 
% 196.18/33.14  | | |   (79)  all_54_5 = e3
% 196.18/33.14  | | | 
% 196.18/33.14  | | | REF_CLOSE: (49), (55), (79) are inconsistent by sub-proof #1948.
% 196.18/33.14  | | | 
% 196.18/33.14  | | Case 2:
% 196.18/33.14  | | | 
% 196.18/33.14  | | |   (80)   ~ (all_54_5 = e3)
% 196.18/33.14  | | |   (81)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.18/33.14  | | | 
% 196.18/33.14  | | | BETA: splitting (81) gives:
% 196.18/33.14  | | | 
% 196.18/33.14  | | | Case 1:
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | |   (82)  all_54_5 = e2
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | COMBINE_EQS: (55), (82) imply:
% 196.18/33.14  | | | |   (83)  all_4_2 = e2
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | SIMP: (83) implies:
% 196.18/33.14  | | | |   (84)  all_4_2 = e2
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | REDUCE: (1), (84) imply:
% 196.18/33.14  | | | |   (85)   ~ (all_52_1 = e2)
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | REDUCE: (63), (84) imply:
% 196.18/33.14  | | | |   (86)   ~ (all_52_9 = e2)
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | REDUCE: (49), (84) imply:
% 196.18/33.14  | | | |   (87)   ~ (e3 = e2)
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | REDUCE: (23), (84) imply:
% 196.18/33.14  | | | |   (88)  op(e2, e2) = e2
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | BETA: splitting (37) gives:
% 196.18/33.14  | | | | 
% 196.18/33.14  | | | | Case 1:
% 196.18/33.14  | | | | | 
% 196.18/33.14  | | | | |   (89)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.18/33.14  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 196.18/33.14  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.18/33.14  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 196.18/33.14  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.18/33.14  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 196.18/33.14  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.18/33.15  | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 196.18/33.15  | | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.18/33.15  | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.18/33.15  | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 196.18/33.15  | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 196.18/33.15  | | | | |           & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.18/33.15  | | | | |           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.18/33.15  | | | | |           (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.18/33.15  | | | | |           all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.18/33.15  | | | | |             e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3
% 196.18/33.15  | | | | |           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2)
% 196.18/33.15  | | | | |           & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.18/33.15  | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.18/33.15  | | | | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.18/33.15  | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.18/33.15  | | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.18/33.15  | | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 196.18/33.15  | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.18/33.15  | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 196.18/33.15  | | | | |           = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.18/33.15  | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 196.18/33.15  | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.18/33.15  | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.18/33.15  | | | | | 
% 196.18/33.15  | | | | | BETA: splitting (89) gives:
% 196.18/33.15  | | | | | 
% 196.18/33.15  | | | | | Case 1:
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | |   (90)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.18/33.15  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.18/33.15  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.18/33.15  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 196.18/33.15  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 196.18/33.15  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.18/33.15  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.18/33.15  | | | | | |         | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.18/33.15  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 196.18/33.15  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 196.18/33.15  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 196.18/33.15  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.18/33.15  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 196.18/33.15  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | | BETA: splitting (90) gives:
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | | Case 1:
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | |   (91)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.18/33.15  | | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.18/33.15  | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.18/33.15  | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 196.18/33.15  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 196.18/33.15  | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.18/33.15  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.18/33.15  | | | | | | |           $i(all_57_12))
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | | BETA: splitting (91) gives:
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | |   (92)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.18/33.15  | | | | | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.18/33.15  | | | | | | | |         all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.18/33.15  | | | | | | | |         $i(all_57_1) & $i(all_57_12)
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | | ALPHA: (92) implies:
% 196.18/33.15  | | | | | | | |   (93)  op(e2, e3) = e2
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | | REF_CLOSE: (20), (73), (85), (93) are inconsistent by sub-proof
% 196.18/33.15  | | | | | | | |            #1785.
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | Case 2:
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | |   (94)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 196.18/33.15  | | | | | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.18/33.15  | | | | | | | |         all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.18/33.15  | | | | | | | |         $i(all_57_2) & $i(all_57_12)
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | | ALPHA: (94) implies:
% 196.18/33.15  | | | | | | | |   (95)  op(e0, e0) = e3
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | | REF_CLOSE: (16), (20), (68), (95) are inconsistent by sub-proof
% 196.18/33.15  | | | | | | | |            #1392.
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | End of split
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | Case 2:
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | |   (96)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.18/33.15  | | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.18/33.15  | | | | | | |           e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.18/33.15  | | | | | | |           $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 196.18/33.15  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 196.18/33.15  | | | | | | |             e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.18/33.15  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.18/33.15  | | | | | | |           $i(all_57_14))
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | | REF_CLOSE: (16), (20), (23), (49), (68), (96) are inconsistent by
% 196.18/33.15  | | | | | | |            sub-proof #980.
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | End of split
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | Case 2:
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | |   (97)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.18/33.15  | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 196.18/33.15  | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.18/33.15  | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15
% 196.18/33.15  | | | | | |           = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3,
% 196.18/33.15  | | | | | |             e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.18/33.15  | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 196.18/33.15  | | | | | |         | (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.18/33.15  | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 196.18/33.15  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 196.18/33.15  | | | | | |           & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 196.18/33.15  | | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.18/33.15  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 196.18/33.15  | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 196.18/33.15  | | | | | |           e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 196.18/33.15  | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 196.18/33.15  | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.18/33.15  | | | | | |           $i(all_57_10))
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | | BETA: splitting (97) gives:
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | | Case 1:
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | |   (98)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.18/33.15  | | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 196.18/33.15  | | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.18/33.15  | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 196.18/33.15  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.18/33.15  | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.18/33.15  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.18/33.15  | | | | | | |           $i(all_57_10))
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | | REF_CLOSE: (16), (19), (20), (56), (71), (98) are inconsistent by
% 196.18/33.15  | | | | | | |            sub-proof #882.
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | Case 2:
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | |   (99)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.18/33.15  | | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.18/33.15  | | | | | | |           all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.18/33.15  | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.18/33.15  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.18/33.15  | | | | | | |             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.18/33.15  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.18/33.15  | | | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 196.18/33.15  | | | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.18/33.15  | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 196.18/33.15  | | | | | | |             e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | | REF_CLOSE: (16), (19), (20), (44), (56), (88), (99) are
% 196.18/33.15  | | | | | | |            inconsistent by sub-proof #928.
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | End of split
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | End of split
% 196.18/33.15  | | | | | 
% 196.18/33.15  | | | | Case 2:
% 196.18/33.15  | | | | | 
% 196.18/33.15  | | | | |   (100)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.18/33.15  | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 196.18/33.15  | | | | |            & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.18/33.15  | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 196.18/33.15  | | | | |            (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 196.18/33.15  | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 196.18/33.15  | | | | |            = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.18/33.15  | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 196.18/33.15  | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.18/33.15  | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12))
% 196.18/33.15  | | | | |          | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.18/33.15  | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 196.18/33.15  | | | | |            & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10)
% 196.18/33.15  | | | | |            & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 196.18/33.15  | | | | |            (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 196.18/33.15  | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 196.18/33.15  | | | | |            = all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 =
% 196.18/33.15  | | | | |            e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 196.18/33.15  | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2,
% 196.18/33.15  | | | | |              e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.18/33.15  | | | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 196.18/33.15  | | | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.18/33.15  | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 196.18/33.15  | | | | |            = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 196.18/33.15  | | | | |            all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1)
% 196.18/33.15  | | | | |            & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) =
% 196.18/33.15  | | | | |            e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.18/33.15  | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 196.18/33.15  | | | | |            (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.18/33.15  | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.18/33.15  | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.18/33.15  | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 =
% 196.18/33.15  | | | | |                e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2,
% 196.18/33.15  | | | | |                  e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.15  | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.18/33.15  | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.18/33.15  | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.18/33.15  | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.18/33.15  | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.18/33.15  | | | | |                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.18/33.15  | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.18/33.15  | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.18/33.15  | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.18/33.15  | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.18/33.15  | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.18/33.15  | | | | |                & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.18/33.15  | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.18/33.15  | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.18/33.15  | | | | |                & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.18/33.15  | | | | |                $i(all_57_7))))
% 196.18/33.15  | | | | | 
% 196.18/33.15  | | | | | BETA: splitting (100) gives:
% 196.18/33.15  | | | | | 
% 196.18/33.15  | | | | | Case 1:
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | |   (101)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.18/33.15  | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 196.18/33.15  | | | | | |            e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 196.18/33.15  | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 196.18/33.15  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1)
% 196.18/33.15  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.18/33.15  | | | | | |            all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.18/33.15  | | | | | |            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 196.18/33.15  | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.18/33.15  | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 196.18/33.15  | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.18/33.15  | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.18/33.15  | | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 196.18/33.15  | | | | | |            e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.18/33.15  | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.18/33.15  | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 196.18/33.15  | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 196.18/33.15  | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.18/33.15  | | | | | |            $i(all_57_13))
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | | REF_CLOSE: (20), (29), (44), (45), (61), (64), (66), (68), (86),
% 196.18/33.15  | | | | | |            (101) are inconsistent by sub-proof #881.
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | Case 2:
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | |   (102)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.18/33.15  | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.18/33.15  | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.18/33.15  | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 196.18/33.15  | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 = e0)
% 196.18/33.15  | | | | | |            & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 196.18/33.15  | | | | | |            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.18/33.15  | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 196.18/33.15  | | | | | |            (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.18/33.15  | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 196.18/33.15  | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 196.18/33.15  | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.18/33.15  | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 196.18/33.15  | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.18/33.15  | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 196.18/33.15  | | | | | |            & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 196.18/33.15  | | | | | |                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.18/33.15  | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.15  | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.18/33.15  | | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.18/33.15  | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.18/33.15  | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.18/33.15  | | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.18/33.15  | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.18/33.15  | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.18/33.15  | | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.18/33.15  | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.18/33.15  | | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.18/33.15  | | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.18/33.15  | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.18/33.15  | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.18/33.15  | | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 196.18/33.15  | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.18/33.15  | | | | | |                $i(all_57_7))))
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | | BETA: splitting (102) gives:
% 196.18/33.15  | | | | | | 
% 196.18/33.15  | | | | | | Case 1:
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | |   (103)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) & 
% 196.18/33.15  | | | | | | |            ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.18/33.15  | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.18/33.15  | | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 196.18/33.15  | | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 196.18/33.15  | | | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.18/33.15  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 196.18/33.15  | | | | | | |            & $i(all_57_14))
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | | REF_CLOSE: (20), (44), (74), (103) are inconsistent by sub-proof
% 196.18/33.15  | | | | | | |            #1960.
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | Case 2:
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | |   (104)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) & 
% 196.18/33.15  | | | | | | |            ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 196.18/33.15  | | | | | | |              e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.18/33.15  | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 196.18/33.15  | | | | | | |            all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 196.18/33.15  | | | | | | |              e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.18/33.15  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.18/33.15  | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.18/33.15  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 196.18/33.15  | | | | | | |                = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.18/33.15  | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 196.18/33.15  | | | | | | |                  e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.18/33.15  | | | | | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 196.18/33.15  | | | | | | |                  = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.18/33.15  | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.18/33.15  | | | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 196.18/33.15  | | | | | | |                  = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.18/33.15  | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.18/33.15  | | | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.18/33.15  | | | | | | |                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.18/33.15  | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.18/33.15  | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 196.18/33.15  | | | | | | |                  = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.18/33.15  | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.18/33.15  | | | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 196.18/33.15  | | | | | | |                  = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.18/33.15  | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | | BETA: splitting (104) gives:
% 196.18/33.15  | | | | | | | 
% 196.18/33.15  | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | |   (105)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &
% 196.18/33.15  | | | | | | | |           ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 196.18/33.15  | | | | | | | |            e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.18/33.15  | | | | | | | |          $i(all_57_12) & $i(all_57_13)
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | | ALPHA: (105) implies:
% 196.18/33.15  | | | | | | | |   (106)  op(e1, e1) = e0
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | | REF_CLOSE: (20), (71), (74), (106) are inconsistent by sub-proof
% 196.18/33.15  | | | | | | | |            #1824.
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | Case 2:
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | |   (107)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 196.18/33.15  | | | | | | | |            &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.18/33.15  | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.18/33.15  | | | | | | | |            e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.18/33.15  | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.18/33.15  | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.18/33.15  | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.18/33.15  | | | | | | | |                  e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.18/33.15  | | | | | | | |              (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.18/33.15  | | | | | | | |                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.18/33.15  | | | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.18/33.15  | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 196.18/33.15  | | | | | | | |                 ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.18/33.15  | | | | | | | |                  e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 196.18/33.15  | | | | | | | |                e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.18/33.15  | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.18/33.15  | | | | | | | |                op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 196.18/33.15  | | | | | | | |                  e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.18/33.15  | | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.18/33.15  | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.18/33.15  | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.18/33.15  | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.18/33.15  | | | | | | | |                  e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.18/33.15  | | | | | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.18/33.15  | | | | | | | |                $i(all_57_7))))
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | | BETA: splitting (107) gives:
% 196.18/33.15  | | | | | | | | 
% 196.18/33.15  | | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | | 
% 196.18/33.15  | | | | | | | | |   (108)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 196.18/33.15  | | | | | | | | |          &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.18/33.15  | | | | | | | | |          = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.18/33.15  | | | | | | | | |          e1 & $i(all_57_11) & $i(all_57_14)
% 196.18/33.15  | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | ALPHA: (108) implies:
% 196.18/33.15  | | | | | | | | |   (109)  op(e1, e0) = e1
% 196.18/33.15  | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | REF_CLOSE: (20), (32), (48), (109) are inconsistent by
% 196.18/33.15  | | | | | | | | |            sub-proof #1958.
% 196.18/33.15  | | | | | | | | | 
% 196.18/33.15  | | | | | | | | Case 2:
% 196.18/33.15  | | | | | | | | | 
% 196.18/33.15  | | | | | | | | |   (110)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 196.18/33.15  | | | | | | | | |              e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.18/33.15  | | | | | | | | |              (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.18/33.15  | | | | | | | | |                e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.18/33.15  | | | | | | | | |            (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.18/33.15  | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.18/33.15  | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.18/33.15  | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 196.18/33.15  | | | | | | | | |               ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.18/33.15  | | | | | | | | |                e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 196.18/33.15  | | | | | | | | |              e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.18/33.15  | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.18/33.15  | | | | | | | | |              op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 196.18/33.15  | | | | | | | | |                e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.18/33.15  | | | | | | | | |              all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.18/33.15  | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.18/33.15  | | | | | | | | |              all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.18/33.15  | | | | | | | | |            (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.18/33.15  | | | | | | | | |                e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.18/33.15  | | | | | | | | |              op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.18/33.15  | | | | | | | | |              $i(all_57_7)))
% 196.18/33.15  | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | ALPHA: (110) implies:
% 196.18/33.15  | | | | | | | | |   (111)  op(e0, e0) = all_57_15
% 196.18/33.15  | | | | | | | | |   (112)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2)
% 196.18/33.15  | | | | | | | | |            &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.18/33.15  | | | | | | | | |            op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.18/33.15  | | | | | | | | |          (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 196.18/33.15  | | | | | | | | |            &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.18/33.15  | | | | | | | | |            op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.18/33.15  | | | | | | | | |          (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3)
% 196.18/33.15  | | | | | | | | |            &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.18/33.15  | | | | | | | | |              e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.18/33.15  | | | | | | | | |          | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.18/33.15  | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 196.18/33.15  | | | | | | | | |            & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4))
% 196.18/33.15  | | | | | | | | |          | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.18/33.15  | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.18/33.15  | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.18/33.15  | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 & 
% 196.18/33.15  | | | | | | | | |            ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.18/33.15  | | | | | | | | |              e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 196.18/33.15  | | | | | | | | |            e0 & $i(all_57_7))
% 196.18/33.15  | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | BETA: splitting (112) gives:
% 196.18/33.15  | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | |   (113)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.18/33.15  | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.18/33.15  | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.15  | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &
% 196.18/33.15  | | | | | | | | | |             ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 196.18/33.15  | | | | | | | | | |              e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 196.18/33.15  | | | | | | | | | |            e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.18/33.15  | | | | | | | | | |            e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.18/33.15  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.18/33.15  | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 196.18/33.15  | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | BETA: splitting (113) gives:
% 196.18/33.15  | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | |   (114)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.18/33.15  | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.18/33.15  | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.15  | | | | | | | | | | |          $i(all_57_0)
% 196.18/33.15  | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | ALPHA: (114) implies:
% 196.18/33.15  | | | | | | | | | | |   (115)  op(e2, e2) = e3
% 196.18/33.15  | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | REF_CLOSE: (20), (23), (49), (115) are inconsistent by
% 196.18/33.15  | | | | | | | | | | |            sub-proof #1975.
% 196.18/33.15  | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | Case 2:
% 196.18/33.15  | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | |   (116)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.18/33.15  | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.18/33.15  | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.18/33.15  | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 196.18/33.15  | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.18/33.15  | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.18/33.15  | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 196.18/33.15  | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | BETA: splitting (116) gives:
% 196.18/33.15  | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | |   (117)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.18/33.15  | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.18/33.15  | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.18/33.15  | | | | | | | | | | | |          $i(all_57_1)
% 196.18/33.15  | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | ALPHA: (117) implies:
% 196.18/33.15  | | | | | | | | | | | |   (118)   ~ (all_57_15 = e3)
% 196.18/33.15  | | | | | | | | | | | |   (119)   ~ (all_57_1 = e1)
% 196.18/33.15  | | | | | | | | | | | |   (120)  op(e0, e3) = e0
% 196.18/33.15  | | | | | | | | | | | |   (121)  op(e1, e3) = all_57_1
% 196.18/33.15  | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | BETA: splitting (17) gives:
% 196.18/33.15  | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | |   (122)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.18/33.15  | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 196.18/33.15  | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | BETA: splitting (122) gives:
% 196.18/33.15  | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | |   (123)  all_56_1 = e2 & op(e3, e2) = e2
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | ALPHA: (123) implies:
% 196.18/33.15  | | | | | | | | | | | | | |   (124)  all_56_1 = e2
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (20), (21), (41), (53), (56), (70),
% 196.18/33.15  | | | | | | | | | | | | | |            (72), (74), (88), (124) are inconsistent by
% 196.18/33.15  | | | | | | | | | | | | | |            sub-proof #1155.
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | Case 2:
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | |   (125)  all_56_3 = e2 & op(e2, e2) = e2
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e1, all_57_15, e0, e0,
% 196.18/33.15  | | | | | | | | | | | | | |              simplifying with (16), (111) gives:
% 196.18/33.15  | | | | | | | | | | | | | |   (126)  all_57_15 = e1
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_52_3, e0, e3, e0,
% 196.18/33.15  | | | | | | | | | | | | | |              simplifying with (30), (120) gives:
% 196.18/33.15  | | | | | | | | | | | | | |   (127)  all_52_3 = e0
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | REDUCE: (118), (126) imply:
% 196.18/33.15  | | | | | | | | | | | | | |   (128)   ~ (e3 = e1)
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | REDUCE: (76), (127) imply:
% 196.18/33.15  | | | | | | | | | | | | | |   (129)   ~ (all_52_11 = e0)
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | SIMP: (129) implies:
% 196.18/33.15  | | | | | | | | | | | | | |   (130)   ~ (all_52_11 = e0)
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | REDUCE: (10), (127) imply:
% 196.18/33.15  | | | | | | | | | | | | | |   (131)   ~ (e3 = e0)
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | REDUCE: (7), (127) imply:
% 196.18/33.15  | | | | | | | | | | | | | |   (132)   ~ (e1 = e0)
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 196.18/33.15  | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | |   (133)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.18/33.15  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.18/33.15  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.18/33.15  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.15  | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.18/33.15  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.18/33.15  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.18/33.15  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.15  | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.18/33.15  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.18/33.15  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.15  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.15  | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.18/33.15  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.18/33.15  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.18/33.15  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.15  | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.18/33.15  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.15  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.18/33.15  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.18/33.15  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.18/33.15  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.18/33.15  | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.18/33.15  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.18/33.15  | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.18/33.15  | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.18/33.15  | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.18/33.15  | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.18/33.15  | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.18/33.15  | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.18/33.15  | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.15  | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.18/33.15  | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.18/33.15  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.18/33.15  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.18/33.15  | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.18/33.15  | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.18/33.15  | | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 196.18/33.15  | | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | | |   (134)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.18/33.15  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.18/33.15  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.18/33.15  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.15  | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.18/33.15  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.18/33.15  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.18/33.15  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.15  | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.18/33.15  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.18/33.15  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.15  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.15  | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.18/33.15  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.18/33.15  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.18/33.15  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.18/33.15  | | | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | | | REF_CLOSE: (16), (19), (20), (23), (44), (49), (68), (120),
% 196.18/33.15  | | | | | | | | | | | | | | | |            (134) are inconsistent by sub-proof #910.
% 196.18/33.15  | | | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | | Case 2:
% 196.18/33.15  | | | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | | |   (135)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.18/33.15  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.15  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.18/33.15  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.18/33.15  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.18/33.15  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.18/33.15  | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.18/33.15  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.18/33.15  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.18/33.15  | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.18/33.15  | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.18/33.15  | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.18/33.15  | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.18/33.15  | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.18/33.15  | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.15  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.15  | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.18/33.15  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.18/33.15  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.18/33.15  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.18/33.15  | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.18/33.15  | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.18/33.15  | | | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 196.18/33.15  | | | | | | | | | | | | | | | | 
% 196.18/33.15  | | | | | | | | | | | | | | | | Case 1:
% 196.18/33.15  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | |   (136)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.18/33.16  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (44), (68), (74), (136) are
% 196.18/33.16  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #949.
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | |   (137)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.18/33.16  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (56), (71), (88), (137) are
% 196.18/33.16  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #880.
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | |   (138)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.18/33.16  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.16  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.18/33.16  | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.18/33.16  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.18/33.16  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.18/33.16  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.18/33.16  | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.18/33.16  | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.18/33.16  | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.18/33.16  | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.18/33.16  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.16  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.18/33.16  | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.18/33.16  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.18/33.16  | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.18/33.16  | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.18/33.16  | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.18/33.16  | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.18/33.16  | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.18/33.16  | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.18/33.16  | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.18/33.16  | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.16  | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.18/33.16  | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.16  | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.18/33.16  | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.16  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.18/33.16  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.16  | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.18/33.16  | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.18/33.16  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.16  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.16  | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.18/33.16  | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.18/33.16  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.18/33.16  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | Case 1:
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | |   (139)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.18/33.16  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.16  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.18/33.16  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.18/33.16  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.18/33.16  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.18/33.16  | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.18/33.16  | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.18/33.16  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.18/33.16  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.16  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.18/33.16  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.18/33.16  | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.18/33.16  | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.18/33.16  | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.18/33.16  | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.18/33.16  | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | Case 1:
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | |   (140)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.18/33.16  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | Case 1:
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (141)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (142)  op(e2, e2) = e0
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (72), (88), (142) are inconsistent by
% 196.18/33.16  | | | | | | | | | | | | | | | | | |            sub-proof #1939.
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (143)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (144)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (23), (32), (38), (44), (47), (48),
% 196.18/33.16  | | | | | | | | | | | | | | | | | |            (49), (56), (68), (71), (112), (119), (121), (144)
% 196.18/33.16  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #877.
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | |   (145)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.18/33.16  | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (20), (43), (130), (145) are inconsistent by
% 196.18/33.16  | | | | | | | | | | | | | | | | |            sub-proof #876.
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | |   (146)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.18/33.16  | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.18/33.16  | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.16  | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.18/33.16  | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.18/33.16  | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.16  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.18/33.16  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.18/33.16  | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.18/33.16  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.16  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.18/33.16  | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.18/33.16  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.18/33.16  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | Case 1:
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | |   (147)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.18/33.16  | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.18/33.16  | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | Case 1:
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (148)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (149)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (68), (120), (149) are inconsistent by
% 196.18/33.16  | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (150)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (151)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (23), (32), (38), (44), (47), (48),
% 196.18/33.16  | | | | | | | | | | | | | | | | | |            (49), (56), (68), (71), (112), (119), (121), (151)
% 196.18/33.16  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #877.
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | |   (152)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.18/33.16  | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.16  | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.18/33.16  | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.18/33.16  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.18/33.16  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | Case 1:
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (153)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (154)  op(e1, e1) = e1
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (23), (44), (47), (49), (56), (68),
% 196.18/33.16  | | | | | | | | | | | | | | | | | |            (112), (154) are inconsistent by sub-proof #1953.
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (155)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.18/33.16  | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.18/33.16  | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | ALPHA: (155) implies:
% 196.18/33.16  | | | | | | | | | | | | | | | | | |   (156)  op(e0, e0) = e0
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (53), (156) are inconsistent by
% 196.18/33.16  | | | | | | | | | | | | | | | | | |            sub-proof #1943.
% 196.18/33.16  | | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | |   (157)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.18/33.16  | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 196.18/33.16  | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | BETA: splitting (157) gives:
% 196.18/33.16  | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | Case 1:
% 196.18/33.16  | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | |   (158)  all_56_7 = e2 & op(e1, e2) = e2
% 196.18/33.16  | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | ALPHA: (158) implies:
% 196.18/33.16  | | | | | | | | | | | | | |   (159)  all_56_7 = e2
% 196.18/33.16  | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 196.18/33.16  | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | Case 1:
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | |   (160)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 196.18/33.16  | | | | | | | | | | | | | | |            & op(e1, e2) = e1)
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | Case 1:
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | |   (161)  all_56_6 = e1 & op(e1, e3) = e1
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 196.18/33.16  | | | | | | | | | | | | | | | |   (162)  op(e1, e3) = e1
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | REF_CLOSE: (20), (119), (121), (162) are inconsistent by
% 196.18/33.16  | | | | | | | | | | | | | | | |            sub-proof #1326.
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | |   (163)  all_56_7 = e1 & op(e1, e2) = e1
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | | REF_CLOSE: (56), (159), (163) are inconsistent by sub-proof
% 196.18/33.16  | | | | | | | | | | | | | | | |            #1765.
% 196.18/33.16  | | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | |   (164)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 196.18/33.16  | | | | | | | | | | | | | | |            e1 & op(e1, e0) = e1)
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (23), (32), (44), (47), (48), (49),
% 196.18/33.16  | | | | | | | | | | | | | | |            (56), (68), (112), (164) are inconsistent by
% 196.18/33.16  | | | | | | | | | | | | | | |            sub-proof #878.
% 196.18/33.16  | | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | |   (165)  all_56_13 = e2 & op(e0, e2) = e2
% 196.18/33.16  | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | ALPHA: (165) implies:
% 196.18/33.16  | | | | | | | | | | | | | |   (166)  all_56_13 = e2
% 196.18/33.16  | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (166) are inconsistent by sub-proof
% 196.18/33.16  | | | | | | | | | | | | | |            #1541.
% 196.18/33.16  | | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | |   (167)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.18/33.16  | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.18/33.16  | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.18/33.16  | | | | | | | | | | | |          $i(all_57_3)
% 196.18/33.16  | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | ALPHA: (167) implies:
% 196.18/33.16  | | | | | | | | | | | |   (168)  op(e3, e3) = e2
% 196.18/33.16  | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | | REF_CLOSE: (19), (20), (44), (168) are inconsistent by
% 196.18/33.16  | | | | | | | | | | | |            sub-proof #1957.
% 196.18/33.16  | | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | |   (169)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.18/33.16  | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.18/33.16  | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.18/33.16  | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &
% 196.18/33.16  | | | | | | | | | |             ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3,
% 196.18/33.16  | | | | | | | | | |              e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.18/33.16  | | | | | | | | | |            e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.18/33.16  | | | | | | | | | |            e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.18/33.16  | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.18/33.16  | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.18/33.16  | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | BETA: splitting (169) gives:
% 196.18/33.16  | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | Case 1:
% 196.18/33.16  | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | |   (170)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.18/33.16  | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.18/33.16  | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.18/33.16  | | | | | | | | | | |          $i(all_57_4)
% 196.18/33.16  | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | ALPHA: (170) implies:
% 196.18/33.16  | | | | | | | | | | |   (171)  op(e1, e1) = e2
% 196.18/33.16  | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | REF_CLOSE: (19), (20), (71), (171) are inconsistent by
% 196.18/33.16  | | | | | | | | | | |            sub-proof #1777.
% 196.18/33.16  | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | Case 2:
% 196.18/33.16  | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | |   (172)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.18/33.16  | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.18/33.16  | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.18/33.16  | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 196.18/33.16  | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.18/33.16  | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.18/33.16  | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.18/33.16  | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | | REF_CLOSE: (20), (44), (56), (68), (88), (172) are
% 196.18/33.16  | | | | | | | | | | |            inconsistent by sub-proof #1265.
% 196.18/33.16  | | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | | 
% 196.18/33.16  | | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | | 
% 196.18/33.16  | | | | | | | | End of split
% 196.18/33.16  | | | | | | | | 
% 196.18/33.16  | | | | | | | End of split
% 196.18/33.16  | | | | | | | 
% 196.18/33.16  | | | | | | End of split
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | End of split
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | End of split
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | Case 2:
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | |   (173)  all_54_5 = e1 | all_54_5 = e0
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | | REF_CLOSE: (47), (55), (78), (173) are inconsistent by sub-proof #1941.
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | End of split
% 196.18/33.16  | | | 
% 196.18/33.16  | | End of split
% 196.18/33.16  | | 
% 196.18/33.16  | Case 2:
% 196.18/33.16  | | 
% 196.18/33.16  | |   (174)  all_32_2 = e0
% 196.18/33.16  | |   (175)  ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 & op(e2, e0) =
% 196.18/33.16  | |            all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 = e1) &
% 196.18/33.16  | |            op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.18/33.16  | | 
% 196.18/33.16  | | COMBINE_EQS: (75), (174) imply:
% 196.18/33.16  | |   (176)  all_4_2 = e0
% 196.18/33.16  | | 
% 196.18/33.16  | | COMBINE_EQS: (62), (176) imply:
% 196.18/33.16  | |   (177)  all_36_2 = e0
% 196.18/33.16  | | 
% 196.18/33.16  | | REDUCE: (42), (176) imply:
% 196.18/33.16  | |   (178)   ~ (all_52_4 = e0)
% 196.18/33.16  | | 
% 196.18/33.16  | | REDUCE: (49), (176) imply:
% 196.18/33.16  | |   (179)   ~ (e3 = e0)
% 196.18/33.16  | | 
% 196.18/33.16  | | REDUCE: (47), (176) imply:
% 196.18/33.16  | |   (180)   ~ (e1 = e0)
% 196.18/33.16  | | 
% 196.18/33.16  | | REDUCE: (23), (176) imply:
% 196.18/33.16  | |   (181)  op(e2, e2) = e0
% 196.18/33.16  | | 
% 196.18/33.16  | | BETA: splitting (46) gives:
% 196.18/33.16  | | 
% 196.18/33.16  | | Case 1:
% 196.18/33.16  | | | 
% 196.18/33.16  | | |   (182)   ~ (all_36_2 = e0)
% 196.18/33.16  | | | 
% 196.18/33.16  | | | REDUCE: (177), (182) imply:
% 196.18/33.16  | | |   (183)  $false
% 196.18/33.16  | | | 
% 196.18/33.16  | | | CLOSE: (183) is inconsistent.
% 196.18/33.16  | | | 
% 196.18/33.16  | | Case 2:
% 196.18/33.16  | | | 
% 196.18/33.16  | | |   (184)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0) =
% 196.18/33.16  | | |            all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e3) &
% 196.18/33.16  | | |            op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.18/33.16  | | | 
% 196.18/33.16  | | | BETA: splitting (184) gives:
% 196.18/33.16  | | | 
% 196.18/33.16  | | | Case 1:
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | |   (185)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0) =
% 196.18/33.16  | | | |          all_36_1 & $i(all_36_0) & $i(all_36_1)
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | | ALPHA: (185) implies:
% 196.18/33.16  | | | |   (186)   ~ (all_36_0 = e1)
% 196.18/33.16  | | | |   (187)  op(e2, e0) = all_36_1
% 196.18/33.16  | | | |   (188)  op(all_36_1, e2) = all_36_0
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | | GROUND_INST: instantiating (20) with e3, all_36_1, e0, e2, simplifying
% 196.18/33.16  | | | |              with (24), (187) gives:
% 196.18/33.16  | | | |   (189)  all_36_1 = e3
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | | REDUCE: (188), (189) imply:
% 196.18/33.16  | | | |   (190)  op(e3, e2) = all_36_0
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | | BETA: splitting (175) gives:
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | | Case 1:
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | |   (191)   ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 & op(e2, e0)
% 196.18/33.16  | | | | |          = all_32_1 & $i(all_32_0) & $i(all_32_1)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | ALPHA: (191) implies:
% 196.18/33.16  | | | | |   (192)  op(e2, e0) = all_32_1
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | GROUND_INST: instantiating (20) with e3, all_32_1, e0, e2, simplifying
% 196.18/33.16  | | | | |              with (24), (192) gives:
% 196.18/33.16  | | | | |   (193)  all_32_1 = e3
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | GROUND_INST: instantiating (20) with all_52_4, all_36_0, e2, e3,
% 196.18/33.16  | | | | |              simplifying with (22), (190) gives:
% 196.18/33.16  | | | | |   (194)  all_52_4 = all_36_0
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | COMBINE_EQS: (69), (194) imply:
% 196.18/33.16  | | | | |   (195)  all_54_1 = all_36_0
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | REDUCE: (27), (194) imply:
% 196.18/33.16  | | | | |   (196)   ~ (all_52_8 = all_36_0)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | SIMP: (196) implies:
% 196.18/33.16  | | | | |   (197)   ~ (all_52_8 = all_36_0)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | REDUCE: (35), (194) imply:
% 196.18/33.16  | | | | |   (198)   ~ (all_52_12 = all_36_0)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | SIMP: (198) implies:
% 196.18/33.16  | | | | |   (199)   ~ (all_52_12 = all_36_0)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | REDUCE: (3), (194) imply:
% 196.18/33.16  | | | | |   (200)   ~ (all_36_0 = e3)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | REDUCE: (178), (194) imply:
% 196.18/33.16  | | | | |   (201)   ~ (all_36_0 = e0)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | BETA: splitting (58) gives:
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | Case 1:
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | |   (202)  all_54_1 = e3
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | | REF_CLOSE: (195), (200), (202) are inconsistent by sub-proof #875.
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | Case 2:
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | |   (203)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | | REF_CLOSE: (2), (5), (8), (9), (12), (13), (14), (15), (16), (17),
% 196.18/33.16  | | | | | |            (18), (19), (20), (21), (23), (24), (25), (26), (28),
% 196.18/33.16  | | | | | |            (29), (31), (32), (33), (34), (36), (37), (38), (39),
% 196.18/33.16  | | | | | |            (40), (41), (43), (44), (45), (48), (49), (50), (51),
% 196.18/33.16  | | | | | |            (52), (53), (54), (56), (57), (59), (60), (61), (64),
% 196.18/33.16  | | | | | |            (66), (67), (68), (70), (71), (72), (73), (74), (181),
% 196.18/33.16  | | | | | |            (186), (187), (195), (197), (199), (201), (203) are
% 196.18/33.16  | | | | | |            inconsistent by sub-proof #864.
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | End of split
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | Case 2:
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | |   (204)   ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 & $i(all_32_1)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | ALPHA: (204) implies:
% 196.18/33.16  | | | | |   (205)   ~ (all_32_1 = e1)
% 196.18/33.16  | | | | |   (206)  op(e2, e0) = all_32_1
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | GROUND_INST: instantiating (20) with e3, all_32_1, e0, e2, simplifying
% 196.18/33.16  | | | | |              with (24), (206) gives:
% 196.18/33.16  | | | | |   (207)  all_32_1 = e3
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | GROUND_INST: instantiating (20) with all_52_4, all_36_0, e2, e3,
% 196.18/33.16  | | | | |              simplifying with (22), (190) gives:
% 196.18/33.16  | | | | |   (208)  all_52_4 = all_36_0
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | COMBINE_EQS: (69), (208) imply:
% 196.18/33.16  | | | | |   (209)  all_54_1 = all_36_0
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | REDUCE: (27), (208) imply:
% 196.18/33.16  | | | | |   (210)   ~ (all_52_8 = all_36_0)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | SIMP: (210) implies:
% 196.18/33.16  | | | | |   (211)   ~ (all_52_8 = all_36_0)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | REDUCE: (35), (208) imply:
% 196.18/33.16  | | | | |   (212)   ~ (all_52_12 = all_36_0)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | SIMP: (212) implies:
% 196.18/33.16  | | | | |   (213)   ~ (all_52_12 = all_36_0)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | REDUCE: (3), (208) imply:
% 196.18/33.16  | | | | |   (214)   ~ (all_36_0 = e3)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | REDUCE: (178), (208) imply:
% 196.18/33.16  | | | | |   (215)   ~ (all_36_0 = e0)
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | BETA: splitting (58) gives:
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | | Case 1:
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | |   (216)  all_54_1 = e3
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | | REF_CLOSE: (209), (214), (216) are inconsistent by sub-proof #875.
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | Case 2:
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | |   (217)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | | REF_CLOSE: (2), (5), (8), (9), (12), (13), (14), (15), (16), (17),
% 196.18/33.16  | | | | | |            (18), (19), (20), (21), (23), (24), (25), (26), (28),
% 196.18/33.16  | | | | | |            (29), (31), (32), (33), (34), (36), (37), (38), (39),
% 196.18/33.16  | | | | | |            (40), (41), (43), (44), (45), (48), (49), (50), (51),
% 196.18/33.16  | | | | | |            (52), (53), (54), (56), (57), (59), (60), (61), (64),
% 196.18/33.16  | | | | | |            (66), (67), (68), (70), (71), (72), (73), (74), (181),
% 196.18/33.16  | | | | | |            (186), (187), (209), (211), (213), (215), (217) are
% 196.18/33.16  | | | | | |            inconsistent by sub-proof #864.
% 196.18/33.16  | | | | | | 
% 196.18/33.16  | | | | | End of split
% 196.18/33.16  | | | | | 
% 196.18/33.16  | | | | End of split
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | Case 2:
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | |   (218)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 & $i(all_36_1)
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | | REF_CLOSE: (20), (24), (218) are inconsistent by sub-proof #1708.
% 196.18/33.16  | | | | 
% 196.18/33.16  | | | End of split
% 196.18/33.16  | | | 
% 196.18/33.16  | | End of split
% 196.18/33.16  | | 
% 196.18/33.16  | End of split
% 196.18/33.16  | 
% 196.18/33.16  End of proof
% 196.18/33.16  
% 196.18/33.16  Sub-proof #864 shows that the following formulas are inconsistent:
% 196.18/33.16  ----------------------------------------------------------------
% 196.18/33.16    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.18/33.16         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.18/33.17    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.18/33.17           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.18/33.17           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.18/33.17                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.18/33.17               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.18/33.17               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.18/33.17           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.18/33.17           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.18/33.17               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.18/33.17           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.18/33.17               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.18/33.17           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.18/33.17           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.18/33.17               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.18/33.17               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.18/33.17               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.17         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.18/33.17           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.18/33.17           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.18/33.17               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.17             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.17         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.18/33.17           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.18/33.17           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.18/33.17                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.18/33.17               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.18/33.17               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.18/33.17           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.18/33.17           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.17             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.17           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.17               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.18/33.17           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.18/33.17           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.18/33.17               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.18/33.17               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.18/33.17               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.17         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.18/33.17           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.18/33.17           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.18/33.17               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.18/33.17             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.17         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.18/33.17           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.18/33.17           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.18/33.17                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.18/33.17               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.18/33.17               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.18/33.17           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.18/33.17             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.18/33.17               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.17           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.18/33.17               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.18/33.17           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.18/33.17           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.18/33.17               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.18/33.17               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.18/33.17               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.18/33.17         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.18/33.17           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.18/33.17           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.18/33.17               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.18/33.17             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.18/33.17         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.18/33.17             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.18/33.17           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.18/33.17               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.18/33.17             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.18/33.17         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.18/33.17             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.18/33.17           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.18/33.17               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.18/33.17             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.18/33.17         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.18/33.17             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.18/33.17           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.18/33.17               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.18/33.17             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.18/33.17         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.18/33.17             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.18/33.17           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.18/33.17               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.18/33.17             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.18/33.17    (3)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.18/33.17    (4)  all_54_3 = all_52_12
% 196.18/33.17    (5)  all_54_6 = all_52_9
% 196.18/33.17    (6)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.18/33.17         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.18/33.17    (7)   ~ (all_52_1 = all_52_9)
% 196.18/33.17    (8)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.18/33.17         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.18/33.17    (9)  op(e0, e0) = e1
% 196.18/33.17    (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.17          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.18/33.17    (11)  all_54_2 = all_52_8
% 196.18/33.17    (12)   ~ (e3 = e2)
% 196.18/33.17    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.18/33.17            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.18/33.17    (14)  all_56_13 = e3
% 196.18/33.17    (15)  op(e2, e2) = all_4_2
% 196.18/33.17    (16)  op(e2, e0) = e3
% 196.18/33.17    (17)   ~ (all_52_8 = all_36_0)
% 196.18/33.17    (18)  op(e2, e0) = all_36_1
% 196.18/33.17    (19)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.18/33.17          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.18/33.17    (20)   ~ (all_52_9 = e3)
% 196.18/33.17    (21)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.18/33.17          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.18/33.17    (22)   ~ (all_52_8 = e3)
% 196.18/33.17    (23)  op(e2, e0) = all_52_13
% 196.18/33.17    (24)  op(e1, e0) = all_52_14
% 196.18/33.17    (25)  all_54_1 = all_36_0
% 196.18/33.17    (26)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.18/33.17          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.18/33.17    (27)   ~ (all_52_8 = all_52_9)
% 196.18/33.17    (28)   ~ (all_36_0 = e1)
% 196.18/33.17    (29)   ~ (all_52_13 = e1)
% 196.18/33.17    (30)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.18/33.17              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.18/33.17            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.18/33.17            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.18/33.17            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.18/33.17            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.18/33.17            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.18/33.17            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.18/33.17            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.18/33.17            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.18/33.17            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.18/33.17            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.18/33.17            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.18/33.17            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.18/33.17            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.18/33.17            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.18/33.17            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.18/33.17            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.18/33.17            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.18/33.17            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.18/33.17            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.18/33.17            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.18/33.17            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.18/33.17            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.18/33.17            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.18/33.17            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.18/33.17            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.18/33.17            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.18/33.17            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.18/33.17            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.18/33.17            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.18/33.17            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.18/33.17            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.18/33.17            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.18/33.17            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.18/33.17            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.18/33.17            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.18/33.17            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.18/33.17            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.18/33.17            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.18/33.17            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.18/33.17            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.18/33.17            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.18/33.17            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.18/33.17            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.18/33.17            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.18/33.17            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.18/33.17            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.18/33.17              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.18/33.17            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.18/33.17            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.18/33.17              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.18/33.17            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.18/33.17            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.18/33.17                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.18/33.17                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.18/33.17                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.18/33.17                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.18/33.17                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.18/33.17                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.18/33.17                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.18/33.17              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.18/33.17                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.18/33.17                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.18/33.17                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.18/33.17                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.18/33.17                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.18/33.17                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.18/33.17                $i(all_57_7))))
% 196.18/33.17    (31)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.18/33.17          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.18/33.17    (32)   ~ (all_52_12 = all_52_14)
% 196.18/33.17    (33)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 196.18/33.17    (34)   ~ (all_52_7 = e1)
% 196.18/33.17    (35)  op(e0, e1) = all_52_11
% 196.18/33.17    (36)  op(e3, e3) = e3
% 196.18/33.17    (37)   ~ (all_52_12 = e3)
% 196.18/33.17    (38)   ~ (all_52_14 = e1)
% 196.18/33.17    (39)   ~ (all_4_2 = e3)
% 196.18/33.17    (40)   ~ (all_52_8 = all_52_12)
% 196.18/33.17    (41)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.18/33.17    (42)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.18/33.17          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.18/33.17    (43)   ~ (e1 = e0)
% 196.18/33.17    (44)   ~ (all_52_8 = all_52_11)
% 196.18/33.17    (45)   ~ (all_52_12 = all_36_0)
% 196.18/33.17    (46)   ~ (e2 = e1)
% 196.18/33.17    (47)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.18/33.17          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.18/33.17    (48)   ~ (all_52_12 = e1)
% 196.18/33.17    (49)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 196.18/33.17            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 196.18/33.17              e1) = all_16_1 & $i(all_16_1))
% 196.18/33.17    (50)  op(e3, e0) = all_52_12
% 196.18/33.17    (51)  op(e2, e1) = all_52_9
% 196.18/33.17    (52)   ~ (all_36_0 = e0)
% 196.18/33.17    (53)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.18/33.17    (54)  op(e3, e1) = all_52_8
% 196.18/33.17    (55)  op(e2, e2) = e0
% 196.18/33.17    (56)   ~ (all_52_9 = all_52_13)
% 196.18/33.17    (57)   ~ (e3 = e1)
% 196.18/33.17    (58)  op(e0, e2) = all_52_7
% 196.18/33.17    (59)  op(e1, e1) = e3
% 196.18/33.17    (60)   ~ (e2 = e0)
% 196.18/33.17    (61)  op(e2, e3) = all_52_1
% 196.18/33.17    (62)   ~ (e3 = e0)
% 196.18/33.17  
% 196.18/33.17  Begin of proof
% 196.18/33.17  | 
% 196.18/33.17  | BETA: splitting (1) gives:
% 196.18/33.17  | 
% 196.18/33.17  | Case 1:
% 196.18/33.17  | | 
% 196.18/33.17  | |   (63)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 196.18/33.17  | |           e1)
% 196.18/33.17  | | 
% 196.18/33.17  | | BETA: splitting (63) gives:
% 196.18/33.17  | | 
% 196.18/33.17  | | Case 1:
% 196.18/33.17  | | | 
% 196.18/33.17  | | |   (64)  all_56_1 = e1 & op(e3, e2) = e1
% 196.18/33.17  | | | 
% 196.18/33.17  | | | ALPHA: (64) implies:
% 196.18/33.17  | | |   (65)  all_56_1 = e1
% 196.18/33.17  | | | 
% 196.18/33.17  | | | BETA: splitting (10) gives:
% 196.18/33.17  | | | 
% 196.18/33.17  | | | Case 1:
% 196.18/33.17  | | | | 
% 196.18/33.17  | | | |   (66)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2)
% 196.18/33.17  | | | |           = e2)
% 196.18/33.17  | | | | 
% 196.18/33.17  | | | | REF_CLOSE: (13), (46), (55), (60), (65), (66) are inconsistent by
% 196.18/33.17  | | | |            sub-proof #1286.
% 196.18/33.17  | | | | 
% 196.18/33.17  | | | Case 2:
% 196.18/33.17  | | | | 
% 196.18/33.17  | | | |   (67)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2)
% 196.18/33.17  | | | |           = e2)
% 196.18/33.17  | | | | 
% 196.18/33.17  | | | | BETA: splitting (67) gives:
% 196.18/33.17  | | | | 
% 196.18/33.17  | | | | Case 1:
% 196.18/33.17  | | | | | 
% 196.18/33.17  | | | | |   (68)  all_56_7 = e2 & op(e1, e2) = e2
% 196.18/33.17  | | | | | 
% 196.18/33.17  | | | | | ALPHA: (68) implies:
% 196.27/33.17  | | | | |   (69)  all_56_7 = e2
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | BETA: splitting (31) gives:
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | Case 1:
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | |   (70)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1,
% 196.27/33.17  | | | | | |             e2) = e1)
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | | BETA: splitting (70) gives:
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | | Case 1:
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | |   (71)  all_56_6 = e1 & op(e1, e3) = e1
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | ALPHA: (71) implies:
% 196.27/33.17  | | | | | | |   (72)  all_56_6 = e1
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | BETA: splitting (21) gives:
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | |   (73)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 &
% 196.27/33.17  | | | | | | | |           op(e1, e2) = e0)
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | BETA: splitting (73) gives:
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | |   (74)  all_56_6 = e0 & op(e1, e3) = e0
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | ALPHA: (74) implies:
% 196.27/33.17  | | | | | | | | |   (75)  all_56_6 = e0
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | COMBINE_EQS: (72), (75) imply:
% 196.27/33.17  | | | | | | | | |   (76)  e1 = e0
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | COMBINE_EQS: (65), (76) imply:
% 196.27/33.17  | | | | | | | | |   (77)  all_56_1 = e0
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | REF_CLOSE: (1), (10), (12), (13), (15), (26), (34), (39),
% 196.27/33.17  | | | | | | | | |            (43), (46), (55), (57), (58), (60), (62), (77) are
% 196.27/33.17  | | | | | | | | |            inconsistent by sub-proof #874.
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | |   (78)  all_56_7 = e0 & op(e1, e2) = e0
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | REF_CLOSE: (60), (69), (78) are inconsistent by sub-proof
% 196.27/33.17  | | | | | | | | |            #873.
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | End of split
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | |   (79)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 &
% 196.27/33.17  | | | | | | | |           op(e1, e0) = e0)
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | BETA: splitting (79) gives:
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | |   (80)  all_56_8 = e0 & op(e1, e1) = e0
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | ALPHA: (80) implies:
% 196.27/33.17  | | | | | | | | |   (81)  op(e1, e1) = e0
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | REF_CLOSE: (13), (59), (62), (81) are inconsistent by
% 196.27/33.17  | | | | | | | | |            sub-proof #1824.
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | |   (82)  all_56_11 = e0 & op(e1, e0) = e0
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | ALPHA: (82) implies:
% 196.27/33.17  | | | | | | | | |   (83)  op(e1, e0) = e0
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | BETA: splitting (53) gives:
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | |   (84)  all_54_1 = e2
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | COMBINE_EQS: (25), (84) imply:
% 196.27/33.17  | | | | | | | | | |   (85)  all_36_0 = e2
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | SIMP: (85) implies:
% 196.27/33.17  | | | | | | | | | |   (86)  all_36_0 = e2
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | REDUCE: (45), (86) imply:
% 196.27/33.17  | | | | | | | | | |   (87)   ~ (all_52_12 = e2)
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | BETA: splitting (3) gives:
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | |   (88)  all_54_3 = e3
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | REF_CLOSE: (4), (37), (88) are inconsistent by sub-proof
% 196.27/33.17  | | | | | | | | | | |            #1330.
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | |   (89)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | REF_CLOSE: (4), (13), (24), (32), (48), (83), (87), (89) are
% 196.27/33.17  | | | | | | | | | | |            inconsistent by sub-proof #1686.
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | End of split
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | |   (90)  all_54_1 = e1 | all_54_1 = e0
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | REF_CLOSE: (25), (28), (52), (90) are inconsistent by
% 196.27/33.17  | | | | | | | | | |            sub-proof #1281.
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | End of split
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | End of split
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | End of split
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | Case 2:
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | |   (91)  all_56_7 = e1 & op(e1, e2) = e1
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | ALPHA: (91) implies:
% 196.27/33.17  | | | | | | |   (92)  all_56_7 = e1
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | BETA: splitting (10) gives:
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | |   (93)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 &
% 196.27/33.17  | | | | | | | |           op(e2, e2) = e2)
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | REF_CLOSE: (13), (46), (55), (60), (65), (93) are inconsistent
% 196.27/33.17  | | | | | | | |            by sub-proof #1286.
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | REF_CLOSE: (12), (14), (46), (67), (92) are inconsistent by
% 196.27/33.17  | | | | | | | |            sub-proof #1299.
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | End of split
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | End of split
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | Case 2:
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | |   (94)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1,
% 196.27/33.17  | | | | | |             e0) = e1)
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | | REF_CLOSE: (13), (24), (38), (57), (59), (94) are inconsistent by
% 196.27/33.17  | | | | | |            sub-proof #1770.
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | End of split
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | Case 2:
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | |   (95)  all_56_13 = e2 & op(e0, e2) = e2
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | REF_CLOSE: (12), (14), (95) are inconsistent by sub-proof #1905.
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | End of split
% 196.27/33.17  | | | | 
% 196.27/33.17  | | | End of split
% 196.27/33.17  | | | 
% 196.27/33.17  | | Case 2:
% 196.27/33.17  | | | 
% 196.27/33.17  | | |   (96)  all_56_3 = e1 & op(e2, e2) = e1
% 196.27/33.17  | | | 
% 196.27/33.17  | | | ALPHA: (96) implies:
% 196.27/33.17  | | |   (97)  op(e2, e2) = e1
% 196.27/33.17  | | | 
% 196.27/33.17  | | | REF_CLOSE: (13), (43), (55), (97) are inconsistent by sub-proof #1909.
% 196.27/33.17  | | | 
% 196.27/33.17  | | End of split
% 196.27/33.17  | | 
% 196.27/33.17  | Case 2:
% 196.27/33.17  | | 
% 196.27/33.17  | |   (98)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 196.27/33.17  | |           e1)
% 196.27/33.17  | | 
% 196.27/33.17  | | BETA: splitting (98) gives:
% 196.27/33.17  | | 
% 196.27/33.17  | | Case 1:
% 196.27/33.17  | | | 
% 196.27/33.17  | | |   (99)  all_56_7 = e1 & op(e1, e2) = e1
% 196.27/33.17  | | | 
% 196.27/33.17  | | | ALPHA: (99) implies:
% 196.27/33.17  | | |   (100)  all_56_7 = e1
% 196.27/33.17  | | |   (101)  op(e1, e2) = e1
% 196.27/33.17  | | | 
% 196.27/33.17  | | | BETA: splitting (8) gives:
% 196.27/33.17  | | | 
% 196.27/33.17  | | | Case 1:
% 196.27/33.17  | | | | 
% 196.27/33.17  | | | |   (102)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2)
% 196.27/33.17  | | | |            = e1)
% 196.27/33.17  | | | | 
% 196.27/33.17  | | | | BETA: splitting (102) gives:
% 196.27/33.17  | | | | 
% 196.27/33.17  | | | | Case 1:
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | |   (103)  all_56_0 = e1 & op(e3, e3) = e1
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | ALPHA: (103) implies:
% 196.27/33.17  | | | | |   (104)  op(e3, e3) = e1
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | REF_CLOSE: (13), (36), (57), (104) are inconsistent by sub-proof
% 196.27/33.17  | | | | |            #1966.
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | Case 2:
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | |   (105)  all_56_1 = e1 & op(e3, e2) = e1
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | ALPHA: (105) implies:
% 196.27/33.17  | | | | |   (106)  all_56_1 = e1
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | BETA: splitting (10) gives:
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | Case 1:
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | |   (107)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2,
% 196.27/33.17  | | | | | |              e2) = e2)
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | | REF_CLOSE: (13), (46), (55), (60), (106), (107) are inconsistent by
% 196.27/33.17  | | | | | |            sub-proof #1286.
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | Case 2:
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | |   (108)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 196.27/33.17  | | | | | |            op(e0, e2) = e2)
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | | REF_CLOSE: (12), (14), (46), (100), (108) are inconsistent by
% 196.27/33.17  | | | | | |            sub-proof #1299.
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | End of split
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | End of split
% 196.27/33.17  | | | | 
% 196.27/33.17  | | | Case 2:
% 196.27/33.17  | | | | 
% 196.27/33.17  | | | |   (109)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0)
% 196.27/33.17  | | | |            = e1)
% 196.27/33.17  | | | | 
% 196.27/33.17  | | | | BETA: splitting (109) gives:
% 196.27/33.17  | | | | 
% 196.27/33.17  | | | | Case 1:
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | |   (110)  all_56_4 = e1 & op(e3, e1) = e1
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | ALPHA: (110) implies:
% 196.27/33.17  | | | | |   (111)  all_56_4 = e1
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | BETA: splitting (6) gives:
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | Case 1:
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | |   (112)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2,
% 196.27/33.17  | | | | | |              e1) = e0)
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | | BETA: splitting (112) gives:
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | | Case 1:
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | |   (113)  all_56_4 = e0 & op(e3, e1) = e0
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | REF_CLOSE: (43), (111), (113) are inconsistent by sub-proof #1500.
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | Case 2:
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | |   (114)  all_56_5 = e0 & op(e2, e1) = e0
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | ALPHA: (114) implies:
% 196.27/33.17  | | | | | | |   (115)  all_56_5 = e0
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | REF_CLOSE: (12), (13), (16), (18), (23), (29), (42), (43), (46),
% 196.27/33.17  | | | | | | |            (47), (55), (60), (115) are inconsistent by sub-proof
% 196.27/33.17  | | | | | | |            #870.
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | End of split
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | Case 2:
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | |   (116)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 &
% 196.27/33.17  | | | | | |            op(e0, e1) = e0)
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | | BETA: splitting (116) gives:
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | | Case 1:
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | |   (117)  all_56_8 = e0 & op(e1, e1) = e0
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | ALPHA: (117) implies:
% 196.27/33.17  | | | | | | |   (118)  op(e1, e1) = e0
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | REF_CLOSE: (13), (59), (62), (118) are inconsistent by sub-proof
% 196.27/33.17  | | | | | | |            #1824.
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | Case 2:
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | |   (119)  all_56_14 = e0 & op(e0, e1) = e0
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | ALPHA: (119) implies:
% 196.27/33.17  | | | | | | |   (120)  all_56_14 = e0
% 196.27/33.17  | | | | | | |   (121)  op(e0, e1) = e0
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | BETA: splitting (19) gives:
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | |   (122)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 &
% 196.27/33.17  | | | | | | | |            op(e2, e1) = e2)
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | BETA: splitting (122) gives:
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | |   (123)  all_56_4 = e2 & op(e3, e1) = e2
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | ALPHA: (123) implies:
% 196.27/33.17  | | | | | | | | |   (124)  all_56_4 = e2
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | REF_CLOSE: (46), (111), (124) are inconsistent by sub-proof
% 196.27/33.17  | | | | | | | | |            #1751.
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | |   (125)  all_56_5 = e2 & op(e2, e1) = e2
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | ALPHA: (125) implies:
% 196.27/33.17  | | | | | | | | |   (126)  op(e2, e1) = e2
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | BETA: splitting (53) gives:
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | |   (127)  all_54_1 = e2
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | COMBINE_EQS: (25), (127) imply:
% 196.27/33.17  | | | | | | | | | |   (128)  all_36_0 = e2
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | SIMP: (128) implies:
% 196.27/33.17  | | | | | | | | | |   (129)  all_36_0 = e2
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | REDUCE: (17), (129) imply:
% 196.27/33.17  | | | | | | | | | |   (130)   ~ (all_52_8 = e2)
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | REDUCE: (45), (129) imply:
% 196.27/33.17  | | | | | | | | | |   (131)   ~ (all_52_12 = e2)
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | BETA: splitting (3) gives:
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | |   (132)  all_54_3 = e3
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | REF_CLOSE: (4), (37), (132) are inconsistent by sub-proof
% 196.27/33.17  | | | | | | | | | | |            #1330.
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | |   (133)   ~ (all_54_3 = e3)
% 196.27/33.17  | | | | | | | | | | |   (134)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | BETA: splitting (134) gives:
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | |   (135)  all_54_3 = e2
% 196.27/33.17  | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | REF_CLOSE: (4), (131), (135) are inconsistent by sub-proof
% 196.27/33.17  | | | | | | | | | | | |            #1689.
% 196.27/33.17  | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | |   (136)  all_54_3 = e1 | all_54_3 = e0
% 196.27/33.17  | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | BETA: splitting (136) gives:
% 196.27/33.17  | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | |   (137)  all_54_3 = e1
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | | REF_CLOSE: (4), (48), (137) are inconsistent by sub-proof
% 196.27/33.17  | | | | | | | | | | | | |            #1688.
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | |   (138)  all_54_3 = e0
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | | COMBINE_EQS: (4), (138) imply:
% 196.27/33.17  | | | | | | | | | | | | |   (139)  all_52_12 = e0
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | | SIMP: (139) implies:
% 196.27/33.17  | | | | | | | | | | | | |   (140)  all_52_12 = e0
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | | REDUCE: (40), (140) imply:
% 196.27/33.17  | | | | | | | | | | | | |   (141)   ~ (all_52_8 = e0)
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | | REDUCE: (32), (140) imply:
% 196.27/33.17  | | | | | | | | | | | | |   (142)   ~ (all_52_14 = e0)
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | | SIMP: (142) implies:
% 196.27/33.17  | | | | | | | | | | | | |   (143)   ~ (all_52_14 = e0)
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | | REDUCE: (37), (140) imply:
% 196.27/33.17  | | | | | | | | | | | | |   (144)   ~ (e3 = e0)
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | | REDUCE: (50), (140) imply:
% 196.27/33.17  | | | | | | | | | | | | |   (145)  op(e3, e0) = e0
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | | REF_CLOSE: (2), (5), (7), (9), (11), (13), (15), (20), (22),
% 196.27/33.17  | | | | | | | | | | | | |            (23), (24), (27), (30), (33), (35), (36), (38),
% 196.27/33.17  | | | | | | | | | | | | |            (39), (41), (44), (49), (51), (54), (55), (56),
% 196.27/33.17  | | | | | | | | | | | | |            (59), (61), (62), (101), (121), (126), (130),
% 196.27/33.17  | | | | | | | | | | | | |            (141), (143), (145) are inconsistent by sub-proof
% 196.27/33.17  | | | | | | | | | | | | |            #865.
% 196.27/33.17  | | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | | End of split
% 196.27/33.17  | | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | | End of split
% 196.27/33.17  | | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | End of split
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | |   (146)  all_54_1 = e1 | all_54_1 = e0
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | | REF_CLOSE: (25), (28), (52), (146) are inconsistent by
% 196.27/33.17  | | | | | | | | | |            sub-proof #1281.
% 196.27/33.17  | | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | End of split
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | End of split
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | |   (147)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 &
% 196.27/33.17  | | | | | | | |            op(e0, e1) = e2)
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | BETA: splitting (147) gives:
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | | Case 1:
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | |   (148)  all_56_8 = e2 & op(e1, e1) = e2
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | ALPHA: (148) implies:
% 196.27/33.17  | | | | | | | | |   (149)  op(e1, e1) = e2
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | REF_CLOSE: (12), (13), (59), (149) are inconsistent by
% 196.27/33.17  | | | | | | | | |            sub-proof #1777.
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | Case 2:
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | |   (150)  all_56_14 = e2 & op(e0, e1) = e2
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | ALPHA: (150) implies:
% 196.27/33.17  | | | | | | | | |   (151)  all_56_14 = e2
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | | REF_CLOSE: (60), (120), (151) are inconsistent by sub-proof
% 196.27/33.17  | | | | | | | | |            #1695.
% 196.27/33.17  | | | | | | | | | 
% 196.27/33.17  | | | | | | | | End of split
% 196.27/33.17  | | | | | | | | 
% 196.27/33.17  | | | | | | | End of split
% 196.27/33.17  | | | | | | | 
% 196.27/33.17  | | | | | | End of split
% 196.27/33.17  | | | | | | 
% 196.27/33.17  | | | | | End of split
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | Case 2:
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | |   (152)  all_56_9 = e1 & op(e3, e0) = e1
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | ALPHA: (152) implies:
% 196.27/33.17  | | | | |   (153)  op(e3, e0) = e1
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | | REF_CLOSE: (13), (48), (50), (153) are inconsistent by sub-proof
% 196.27/33.17  | | | | |            #1949.
% 196.27/33.17  | | | | | 
% 196.27/33.17  | | | | End of split
% 196.27/33.17  | | | | 
% 196.27/33.17  | | | End of split
% 196.27/33.17  | | | 
% 196.27/33.17  | | Case 2:
% 196.27/33.17  | | | 
% 196.27/33.17  | | |   (154)  all_56_13 = e1 & op(e0, e2) = e1
% 196.27/33.17  | | | 
% 196.27/33.17  | | | ALPHA: (154) implies:
% 196.27/33.18  | | |   (155)  op(e0, e2) = e1
% 196.27/33.18  | | | 
% 196.27/33.18  | | | REF_CLOSE: (13), (34), (58), (155) are inconsistent by sub-proof #1649.
% 196.27/33.18  | | | 
% 196.27/33.18  | | End of split
% 196.27/33.18  | | 
% 196.27/33.18  | End of split
% 196.27/33.18  | 
% 196.27/33.18  End of proof
% 196.27/33.18  
% 196.27/33.18  Sub-proof #865 shows that the following formulas are inconsistent:
% 196.27/33.18  ----------------------------------------------------------------
% 196.27/33.18    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.27/33.18           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.27/33.18           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.27/33.18                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.27/33.18               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.27/33.18               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.27/33.18           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.27/33.18           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.27/33.18               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.27/33.18           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.27/33.18               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.27/33.18           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.27/33.18           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.27/33.18               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.27/33.18               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.27/33.18               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.27/33.18         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.27/33.18           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.27/33.18           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.27/33.18               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.27/33.18             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.27/33.18         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.27/33.18           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.27/33.18           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.27/33.18                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.27/33.18               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.27/33.18               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.27/33.18           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.27/33.18           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.27/33.18             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.27/33.18           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.27/33.18               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.27/33.18           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.27/33.18           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.27/33.18               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.27/33.18               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.27/33.18               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.27/33.18         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.27/33.18           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.27/33.18           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.27/33.18               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.27/33.18             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.27/33.18         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.27/33.18           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.27/33.18           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.27/33.18                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.27/33.18               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.27/33.18               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.27/33.18           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.27/33.18             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.27/33.18               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.27/33.18           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.27/33.18               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.27/33.18           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.27/33.18           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.27/33.18               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.27/33.18               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.27/33.18               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.27/33.18         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.27/33.18           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.27/33.18           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.27/33.18               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.27/33.18             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.27/33.18         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.27/33.18             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.27/33.18           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.27/33.18               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.27/33.18             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.27/33.18         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.27/33.18             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.27/33.18           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.27/33.18               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.27/33.18             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.27/33.18         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.27/33.18             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.27/33.18           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.27/33.18               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.27/33.18             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.27/33.18         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.27/33.18             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.27/33.18           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.27/33.18               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.27/33.18             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.27/33.18    (2)   ~ (all_52_14 = e0)
% 196.27/33.18    (3)  all_54_6 = all_52_9
% 196.27/33.18    (4)   ~ (all_52_1 = all_52_9)
% 196.27/33.18    (5)  op(e0, e0) = e1
% 196.27/33.18    (6)  op(e1, e2) = e1
% 196.27/33.18    (7)  all_54_2 = all_52_8
% 196.27/33.18    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.27/33.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.27/33.18    (9)  op(e2, e2) = all_4_2
% 196.27/33.18    (10)   ~ (all_52_9 = e3)
% 196.27/33.18    (11)   ~ (all_52_8 = e3)
% 196.27/33.18    (12)  op(e2, e0) = all_52_13
% 196.27/33.18    (13)  op(e1, e0) = all_52_14
% 196.27/33.18    (14)  op(e0, e1) = e0
% 196.27/33.18    (15)  op(e3, e0) = e0
% 196.27/33.18    (16)   ~ (all_52_8 = all_52_9)
% 196.27/33.18    (17)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.27/33.18              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.27/33.18            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.27/33.18            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.27/33.18            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.27/33.18            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.27/33.18            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.27/33.18            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.27/33.18            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.27/33.18            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.27/33.18            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.27/33.18            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.27/33.18            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.27/33.18            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.27/33.18            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.27/33.18            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.27/33.18            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.27/33.18            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.27/33.18            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.27/33.18            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.27/33.18            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.27/33.18            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.27/33.18            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.27/33.18            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.27/33.18            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.27/33.18            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.27/33.18            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.27/33.18            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.27/33.18            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.27/33.18            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.27/33.18            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.27/33.18            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.27/33.18            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.27/33.18            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.27/33.18            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.27/33.18            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.27/33.18            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.27/33.18            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.27/33.18            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.27/33.18            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.27/33.18            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.27/33.18            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.27/33.18            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.27/33.18            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.27/33.18            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.27/33.18            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.27/33.18            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.27/33.18            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.27/33.18              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.27/33.18            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.27/33.18            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.27/33.18              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.27/33.18            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.27/33.18            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.27/33.18                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.27/33.18                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.27/33.18                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.27/33.18                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.27/33.18                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.27/33.18                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.27/33.18                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.27/33.18              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.27/33.18                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.27/33.18                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.27/33.18                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.27/33.18                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.27/33.18                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.27/33.18                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.27/33.18                $i(all_57_7))))
% 196.27/33.18    (18)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 196.27/33.18    (19)  op(e0, e1) = all_52_11
% 196.27/33.18    (20)  op(e3, e3) = e3
% 196.27/33.18    (21)   ~ (all_52_14 = e1)
% 196.27/33.18    (22)   ~ (all_4_2 = e3)
% 196.27/33.18    (23)   ~ (all_52_8 = e2)
% 196.27/33.18    (24)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.27/33.18    (25)   ~ (all_52_8 = all_52_11)
% 196.27/33.18    (26)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 196.27/33.18            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 196.27/33.18              e1) = all_16_1 & $i(all_16_1))
% 196.27/33.18    (27)  op(e2, e1) = all_52_9
% 196.27/33.18    (28)  op(e3, e1) = all_52_8
% 196.27/33.18    (29)  op(e2, e2) = e0
% 196.27/33.18    (30)   ~ (all_52_9 = all_52_13)
% 196.27/33.18    (31)  op(e1, e1) = e3
% 196.27/33.18    (32)  op(e2, e3) = all_52_1
% 196.27/33.18    (33)  op(e2, e1) = e2
% 196.27/33.18    (34)   ~ (all_52_8 = e0)
% 196.27/33.18    (35)   ~ (e3 = e0)
% 196.27/33.18  
% 196.27/33.18  Begin of proof
% 196.27/33.18  | 
% 196.27/33.18  | BETA: splitting (24) gives:
% 196.27/33.18  | 
% 196.27/33.18  | Case 1:
% 196.27/33.18  | | 
% 196.27/33.18  | |   (36)  all_54_2 = e3
% 196.27/33.18  | | 
% 196.27/33.18  | | REF_CLOSE: (7), (11), (36) are inconsistent by sub-proof #1762.
% 196.27/33.18  | | 
% 196.27/33.18  | Case 2:
% 196.27/33.18  | | 
% 196.27/33.18  | |   (37)   ~ (all_54_2 = e3)
% 196.27/33.18  | |   (38)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.27/33.18  | | 
% 196.27/33.18  | | BETA: splitting (38) gives:
% 196.27/33.18  | | 
% 196.27/33.18  | | Case 1:
% 196.27/33.18  | | | 
% 196.27/33.18  | | |   (39)  all_54_2 = e2
% 196.27/33.18  | | | 
% 196.27/33.18  | | | REF_CLOSE: (7), (23), (39) are inconsistent by sub-proof #1761.
% 196.27/33.18  | | | 
% 196.27/33.18  | | Case 2:
% 196.27/33.18  | | | 
% 196.27/33.18  | | |   (40)  all_54_2 = e1 | all_54_2 = e0
% 196.27/33.18  | | | 
% 196.27/33.18  | | | BETA: splitting (40) gives:
% 196.27/33.18  | | | 
% 196.27/33.18  | | | Case 1:
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | |   (41)  all_54_2 = e1
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | | COMBINE_EQS: (7), (41) imply:
% 196.27/33.18  | | | |   (42)  all_52_8 = e1
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | | REDUCE: (16), (42) imply:
% 196.27/33.18  | | | |   (43)   ~ (all_52_9 = e1)
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | | SIMP: (43) implies:
% 196.27/33.18  | | | |   (44)   ~ (all_52_9 = e1)
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | | REDUCE: (25), (42) imply:
% 196.27/33.18  | | | |   (45)   ~ (all_52_11 = e1)
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | | SIMP: (45) implies:
% 196.27/33.18  | | | |   (46)   ~ (all_52_11 = e1)
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | | REDUCE: (11), (42) imply:
% 196.27/33.18  | | | |   (47)   ~ (e3 = e1)
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | | SIMP: (47) implies:
% 196.27/33.18  | | | |   (48)   ~ (e3 = e1)
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | | REDUCE: (34), (42) imply:
% 196.27/33.18  | | | |   (49)   ~ (e1 = e0)
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | | BETA: splitting (18) gives:
% 196.27/33.18  | | | | 
% 196.27/33.18  | | | | Case 1:
% 196.27/33.18  | | | | | 
% 196.27/33.18  | | | | |   (50)  all_54_6 = e3
% 196.27/33.18  | | | | | 
% 196.27/33.18  | | | | | REF_CLOSE: (3), (10), (50) are inconsistent by sub-proof #1468.
% 196.27/33.18  | | | | | 
% 196.27/33.18  | | | | Case 2:
% 196.27/33.18  | | | | | 
% 196.27/33.18  | | | | |   (51)   ~ (all_54_6 = e3)
% 196.27/33.18  | | | | |   (52)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 196.27/33.18  | | | | | 
% 196.27/33.18  | | | | | BETA: splitting (52) gives:
% 196.27/33.18  | | | | | 
% 196.27/33.18  | | | | | Case 1:
% 196.27/33.18  | | | | | | 
% 196.27/33.18  | | | | | |   (53)  all_54_6 = e2
% 196.27/33.18  | | | | | | 
% 196.27/33.18  | | | | | | COMBINE_EQS: (3), (53) imply:
% 196.27/33.18  | | | | | |   (54)  all_52_9 = e2
% 196.27/33.18  | | | | | | 
% 196.27/33.18  | | | | | | SIMP: (54) implies:
% 196.27/33.18  | | | | | |   (55)  all_52_9 = e2
% 196.27/33.18  | | | | | | 
% 196.27/33.18  | | | | | | REDUCE: (4), (55) imply:
% 196.27/33.18  | | | | | |   (56)   ~ (all_52_1 = e2)
% 196.27/33.18  | | | | | | 
% 196.27/33.18  | | | | | | REDUCE: (10), (55) imply:
% 196.27/33.18  | | | | | |   (57)   ~ (e3 = e2)
% 196.27/33.18  | | | | | | 
% 196.27/33.18  | | | | | | SIMP: (57) implies:
% 196.27/33.18  | | | | | |   (58)   ~ (e3 = e2)
% 196.27/33.18  | | | | | | 
% 196.27/33.18  | | | | | | REDUCE: (44), (55) imply:
% 196.27/33.18  | | | | | |   (59)   ~ (e2 = e1)
% 196.27/33.18  | | | | | | 
% 196.27/33.18  | | | | | | BETA: splitting (1) gives:
% 196.27/33.18  | | | | | | 
% 196.27/33.18  | | | | | | Case 1:
% 196.27/33.18  | | | | | | | 
% 196.27/33.18  | | | | | | |   (60)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 196.27/33.18  | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 196.27/33.18  | | | | | | |             e2) = all_57_12 & $i(all_57_12) & ((all_57_14 = e2 &
% 196.27/33.18  | | | | | | |               op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.27/33.18  | | | | | | |               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.27/33.18  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.27/33.18  | | | | | | |               = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 196.27/33.18  | | | | | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10
% 196.27/33.18  | | | | | | |           & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.27/33.18  | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 196.27/33.18  | | | | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.27/33.18  | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 196.27/33.18  | | | | | | |             | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.27/33.18  | | | | | | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.27/33.18  | | | | | | |           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 196.27/33.18  | | | | | | |           op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 196.27/33.18  | | | | | | |           & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.27/33.18  | | | | | | |                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.27/33.18  | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 196.27/33.18  | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.27/33.18  | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 196.27/33.18  | | | | | | |             e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 196.27/33.18  | | | | | | |           op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 196.27/33.18  | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.27/33.18  | | | | | | |               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 &
% 196.27/33.18  | | | | | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.27/33.18  | | | | | | |               = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 &
% 196.27/33.18  | | | | | | |           all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.27/33.18  | | | | | | |           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 196.27/33.18  | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2,
% 196.27/33.18  | | | | | | |                 e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.27/33.18  | | | | | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 &
% 196.27/33.18  | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 196.27/33.18  | | | | | | |               = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 196.27/33.18  | | | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10
% 196.27/33.18  | | | | | | |           & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.27/33.18  | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | (
% 196.27/33.18  | | | | | | |               ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.27/33.18  | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 196.27/33.18  | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.27/33.18  | | | | | | |               $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.27/33.18  | | | | | | |           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 196.27/33.18  | | | | | | |           op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 196.27/33.18  | | | | | | |           & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.27/33.18  | | | | | | |                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.27/33.18  | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 196.27/33.18  | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.27/33.18  | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2,
% 196.27/33.18  | | | | | | |             e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 &
% 196.27/33.18  | | | | | | |           op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 196.27/33.18  | | | | | | |               op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.27/33.18  | | | | | | |               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 &
% 196.27/33.18  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.27/33.18  | | | | | | |               = all_57_5 & $i(all_57_5))))
% 196.27/33.18  | | | | | | | 
% 196.27/33.18  | | | | | | | BETA: splitting (60) gives:
% 196.27/33.18  | | | | | | | 
% 196.27/33.18  | | | | | | | Case 1:
% 196.27/33.18  | | | | | | | | 
% 196.27/33.18  | | | | | | | |   (61)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 196.27/33.18  | | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 196.27/33.18  | | | | | | | |           op(e2, e2) = all_57_12 & $i(all_57_12) & ((all_57_14 =
% 196.27/33.18  | | | | | | | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.27/33.18  | | | | | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.27/33.18  | | | | | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 196.27/33.18  | | | | | | | |                 e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.27/33.18  | | | | | | | |         (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3,
% 196.27/33.18  | | | | | | | |             e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2
% 196.27/33.18  | | | | | | | |           & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 = e3 &
% 196.27/33.18  | | | | | | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 196.27/33.18  | | | | | | | |                 e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 196.27/33.18  | | | | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.27/33.18  | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.27/33.18  | | | | | | | |         (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3,
% 196.27/33.18  | | | | | | | |             e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.27/33.18  | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 =
% 196.27/33.18  | | | | | | | |               e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.27/33.18  | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.27/33.18  | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 196.27/33.18  | | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.27/33.18  | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 196.27/33.18  | | | | | | | |             e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1
% 196.27/33.18  | | | | | | | |           & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 196.27/33.18  | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 196.27/33.18  | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 196.27/33.18  | | | | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.27/33.18  | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.27/33.18  | | | | | | | | 
% 196.27/33.18  | | | | | | | | BETA: splitting (61) gives:
% 196.27/33.18  | | | | | | | | 
% 196.27/33.18  | | | | | | | | Case 1:
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | |   (62)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.27/33.18  | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3
% 196.27/33.18  | | | | | | | | |           & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.27/33.18  | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 196.27/33.18  | | | | | | | | |                 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 196.27/33.18  | | | | | | | | |           & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.27/33.18  | | | | | | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.27/33.18  | | | | | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2
% 196.27/33.18  | | | | | | | | |           & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 196.27/33.18  | | | | | | | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.27/33.18  | | | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 196.27/33.18  | | | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.27/33.18  | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.27/33.18  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.27/33.18  | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | REF_CLOSE: (8), (9), (20), (22), (58), (62) are inconsistent
% 196.27/33.18  | | | | | | | | |            by sub-proof #1112.
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | Case 2:
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | |   (63)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.27/33.18  | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3
% 196.27/33.18  | | | | | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.27/33.18  | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 196.27/33.18  | | | | | | | | |                 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 196.27/33.18  | | | | | | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.27/33.18  | | | | | | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.27/33.18  | | | | | | | | |               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 196.27/33.18  | | | | | | | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 196.27/33.18  | | | | | | | | |             e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.27/33.18  | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3)
% 196.27/33.18  | | | | | | | | |             | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.27/33.18  | | | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.27/33.18  | | | | | | | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.27/33.18  | | | | | | | | |               all_57_2 & $i(all_57_2))))
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | BETA: splitting (63) gives:
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | Case 1:
% 196.27/33.18  | | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | |   (64)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.27/33.18  | | | | | | | | | |         op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3
% 196.27/33.18  | | | | | | | | | |         & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.27/33.18  | | | | | | | | | |         ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 196.27/33.18  | | | | | | | | | |               = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 196.27/33.18  | | | | | | | | | |         & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.27/33.18  | | | | | | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.27/33.18  | | | | | | | | | |             $i(all_57_8)))
% 196.27/33.18  | | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | | ALPHA: (64) implies:
% 196.27/33.18  | | | | | | | | | |   (65)  op(e3, e3) = e1
% 196.27/33.18  | | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | | REF_CLOSE: (8), (20), (48), (65) are inconsistent by
% 196.27/33.18  | | | | | | | | | |            sub-proof #1966.
% 196.27/33.18  | | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | Case 2:
% 196.27/33.18  | | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | |   (66)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.27/33.18  | | | | | | | | | |         op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 196.27/33.18  | | | | | | | | | |           e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.27/33.18  | | | | | | | | | |         ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 196.27/33.18  | | | | | | | | | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0)))
% 196.27/33.18  | | | | | | | | | |         & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 196.27/33.18  | | | | | | | | | |             (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.27/33.18  | | | | | | | | | |             $i(all_57_2)))
% 196.27/33.18  | | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | | ALPHA: (66) implies:
% 196.27/33.18  | | | | | | | | | |   (67)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 196.27/33.18  | | | | | | | | | |             e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 196.27/33.18  | | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (11), (12), (13), (14), (15),
% 196.27/33.18  | | | | | | | | | |            (17), (20), (21), (22), (26), (27), (28), (29),
% 196.27/33.18  | | | | | | | | | |            (30), (32), (33), (35), (48), (49), (56), (58),
% 196.27/33.18  | | | | | | | | | |            (59), (67) are inconsistent by sub-proof #867.
% 196.27/33.18  | | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | End of split
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | End of split
% 196.27/33.18  | | | | | | | | 
% 196.27/33.18  | | | | | | | Case 2:
% 196.27/33.18  | | | | | | | | 
% 196.27/33.18  | | | | | | | |   (68)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3,
% 196.27/33.18  | | | | | | | |             e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 196.27/33.18  | | | | | | | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12 =
% 196.27/33.18  | | | | | | | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 196.27/33.18  | | | | | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 196.27/33.18  | | | | | | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 =
% 196.27/33.18  | | | | | | | |                 e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.27/33.18  | | | | | | | |         | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.27/33.18  | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3)
% 196.27/33.18  | | | | | | | |           = e0 & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 =
% 196.27/33.18  | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.27/33.18  | | | | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.27/33.18  | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 196.27/33.18  | | | | | | | |                 e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.27/33.18  | | | | | | | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2,
% 196.27/33.18  | | | | | | | |             e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.27/33.18  | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 =
% 196.27/33.18  | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.27/33.18  | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.27/33.18  | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 196.27/33.18  | | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.27/33.18  | | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2,
% 196.27/33.18  | | | | | | | |             e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1
% 196.27/33.18  | | | | | | | |           & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 196.27/33.18  | | | | | | | |               op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.27/33.18  | | | | | | | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 196.27/33.18  | | | | | | | |               e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.27/33.18  | | | | | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.27/33.18  | | | | | | | | 
% 196.27/33.18  | | | | | | | | BETA: splitting (68) gives:
% 196.27/33.18  | | | | | | | | 
% 196.27/33.18  | | | | | | | | Case 1:
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | |   (69)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.27/33.18  | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3
% 196.27/33.18  | | | | | | | | |           & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.27/33.18  | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 196.27/33.18  | | | | | | | | |                 = e2) & op(e2, e0) = all_57_11 &
% 196.27/33.18  | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 196.27/33.18  | | | | | | | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.27/33.18  | | | | | | | | |               all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 196.27/33.18  | | | | | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 196.27/33.18  | | | | | | | | |           all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.27/33.18  | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 196.27/33.18  | | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 196.27/33.18  | | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14
% 196.27/33.18  | | | | | | | | |               = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.27/33.18  | | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | REF_CLOSE: (5), (8), (20), (35), (48), (69) are inconsistent
% 196.27/33.18  | | | | | | | | |            by sub-proof #949.
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | Case 2:
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | |   (70)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.27/33.18  | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2
% 196.27/33.18  | | | | | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.27/33.18  | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 196.27/33.18  | | | | | | | | |                 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)))
% 196.27/33.18  | | | | | | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.27/33.18  | | | | | | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.27/33.18  | | | | | | | | |               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 196.27/33.18  | | | | | | | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 196.27/33.18  | | | | | | | | |             e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.27/33.18  | | | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2)
% 196.27/33.18  | | | | | | | | |             | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.27/33.18  | | | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 196.27/33.18  | | | | | | | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.27/33.18  | | | | | | | | |               all_57_5 & $i(all_57_5))))
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | | REF_CLOSE: (8), (27), (29), (44), (49), (70) are inconsistent
% 196.27/33.18  | | | | | | | | |            by sub-proof #1368.
% 196.27/33.18  | | | | | | | | | 
% 196.27/33.18  | | | | | | | | End of split
% 196.27/33.18  | | | | | | | | 
% 196.27/33.18  | | | | | | | End of split
% 196.27/33.18  | | | | | | | 
% 196.27/33.18  | | | | | | Case 2:
% 196.27/33.18  | | | | | | | 
% 196.28/33.19  | | | | | | |   (71)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 196.28/33.19  | | | | | | |             e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 196.28/33.19  | | | | | | |             e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 196.28/33.19  | | | | | | |               op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 196.28/33.19  | | | | | | |               = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.28/33.19  | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 196.28/33.19  | | | | | | |               = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 196.28/33.19  | | | | | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12
% 196.28/33.19  | | | | | | |           & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.28/33.19  | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | (
% 196.28/33.19  | | | | | | |               ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.28/33.19  | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2)
% 196.28/33.19  | | | | | | |             | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.28/33.19  | | | | | | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.28/33.19  | | | | | | |           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 &
% 196.28/33.19  | | | | | | |           op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15)
% 196.28/33.19  | | | | | | |           & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.28/33.19  | | | | | | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.28/33.19  | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.28/33.19  | | | | | | |                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.28/33.19  | | | | | | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1,
% 196.28/33.19  | | | | | | |             e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 196.28/33.19  | | | | | | |           op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 &
% 196.28/33.19  | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.28/33.19  | | | | | | |               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 196.28/33.19  | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.28/33.19  | | | | | | |               = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 &
% 196.28/33.19  | | | | | | |           op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.28/33.19  | | | | | | |             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.28/33.19  | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 196.28/33.19  | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.28/33.19  | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 196.28/33.19  | | | | | | |             | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.28/33.19  | | | | | | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2
% 196.28/33.19  | | | | | | |           & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.28/33.19  | | | | | | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.28/33.19  | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.28/33.19  | | | | | | |                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.28/33.19  | | | | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 196.28/33.19  | | | | | | |                 e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.28/33.19  | | | | | | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 196.28/33.19  | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.28/33.19  | | | | | | |               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 196.28/33.19  | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.28/33.19  | | | | | | |               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 196.28/33.19  | | | | | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 196.28/33.19  | | | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 196.28/33.19  | | | | | | |           op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.28/33.19  | | | | | | |             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.28/33.19  | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0)
% 196.28/33.19  | | | | | | |             | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.28/33.19  | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 196.28/33.19  | | | | | | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.28/33.19  | | | | | | |               & $i(all_57_13))))
% 196.28/33.19  | | | | | | | 
% 196.28/33.19  | | | | | | | BETA: splitting (71) gives:
% 196.28/33.19  | | | | | | | 
% 196.28/33.19  | | | | | | | Case 1:
% 196.28/33.19  | | | | | | | | 
% 196.28/33.19  | | | | | | | |   (72)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.28/33.19  | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 196.28/33.19  | | | | | | | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 =
% 196.28/33.19  | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.28/33.19  | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.28/33.19  | | | | | | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 =
% 196.28/33.19  | | | | | | | |                 e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.28/33.19  | | | | | | | |         | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.28/33.19  | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2)
% 196.28/33.19  | | | | | | | |           = e0 & op(e0, e0) = e2 & $i(all_57_12) & ((all_57_10 =
% 196.28/33.19  | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.28/33.19  | | | | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.28/33.19  | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.28/33.19  | | | | | | | |                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.28/33.19  | | | | | | | |         (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.28/33.19  | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.28/33.19  | | | | | | | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 =
% 196.28/33.19  | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.28/33.19  | | | | | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.28/33.19  | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.28/33.19  | | | | | | | |                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))))
% 196.28/33.19  | | | | | | | |         | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.28/33.19  | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1)
% 196.28/33.19  | | | | | | | |           = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 =
% 196.28/33.19  | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.28/33.19  | | | | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.28/33.19  | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.28/33.19  | | | | | | | |                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.28/33.19  | | | | | | | | 
% 196.28/33.19  | | | | | | | | BETA: splitting (72) gives:
% 196.28/33.19  | | | | | | | | 
% 196.28/33.19  | | | | | | | | Case 1:
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | |   (73)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.28/33.19  | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2
% 196.28/33.19  | | | | | | | | |           & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.28/33.19  | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 196.28/33.19  | | | | | | | | |                 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)))
% 196.28/33.19  | | | | | | | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 196.28/33.19  | | | | | | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.28/33.19  | | | | | | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 =
% 196.28/33.19  | | | | | | | | |           e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 196.28/33.19  | | | | | | | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2
% 196.28/33.19  | | | | | | | | |           & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.28/33.19  | | | | | | | | |               e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.28/33.19  | | | | | | | | |               all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 196.28/33.19  | | | | | | | | |               op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 196.28/33.19  | | | | | | | | |                 e2) = all_57_4 & $i(all_57_4))))
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | BETA: splitting (73) gives:
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | Case 1:
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | |   (74)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.28/33.19  | | | | | | | | | |         op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2
% 196.28/33.19  | | | | | | | | | |         & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.28/33.19  | | | | | | | | | |         ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 196.28/33.19  | | | | | | | | | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)))
% 196.28/33.19  | | | | | | | | | |         & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 196.28/33.19  | | | | | | | | | |             (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.28/33.19  | | | | | | | | | |             $i(all_57_13)))
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | | ALPHA: (74) implies:
% 196.28/33.19  | | | | | | | | | |   (75)  op(e2, e0) = e2
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | | REF_CLOSE: (8), (12), (27), (30), (33), (75) are inconsistent
% 196.28/33.19  | | | | | | | | | |            by sub-proof #1887.
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | Case 2:
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | |   (76)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.28/33.19  | | | | | | | | | |         op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 196.28/33.19  | | | | | | | | | |           e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.28/33.19  | | | | | | | | | |         ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 196.28/33.19  | | | | | | | | | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3)))
% 196.28/33.19  | | | | | | | | | |         & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.28/33.19  | | | | | | | | | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.28/33.19  | | | | | | | | | |             $i(all_57_4)))
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | | ALPHA: (76) implies:
% 196.28/33.19  | | | | | | | | | |   (77)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.28/33.19  | | | | | | | | | |             e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | | REF_CLOSE: (6), (8), (31), (58), (77) are inconsistent by
% 196.28/33.19  | | | | | | | | | |            sub-proof #879.
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | End of split
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | Case 2:
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | |   (78)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.28/33.19  | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1
% 196.28/33.19  | | | | | | | | |           & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.28/33.19  | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 196.28/33.19  | | | | | | | | |                 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)))
% 196.28/33.19  | | | | | | | | |           & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.28/33.19  | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.28/33.19  | | | | | | | | |               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 196.28/33.19  | | | | | | | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 196.28/33.19  | | | | | | | | |           op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1
% 196.28/33.19  | | | | | | | | |           & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.28/33.19  | | | | | | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.28/33.19  | | | | | | | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 196.28/33.19  | | | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 196.28/33.19  | | | | | | | | |                 e1) = all_57_7 & $i(all_57_7))))
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | REF_CLOSE: (2), (8), (13), (19), (46), (78) are inconsistent
% 196.28/33.19  | | | | | | | | |            by sub-proof #1883.
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | End of split
% 196.28/33.19  | | | | | | | | 
% 196.28/33.19  | | | | | | | Case 2:
% 196.28/33.19  | | | | | | | | 
% 196.28/33.19  | | | | | | | |   (79)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 196.28/33.19  | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 196.28/33.19  | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 196.28/33.19  | | | | | | | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.28/33.19  | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.28/33.19  | | | | | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 196.28/33.19  | | | | | | | |                 e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.28/33.19  | | | | | | | |         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 &
% 196.28/33.19  | | | | | | | |               op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.28/33.19  | | | | | | | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 196.28/33.19  | | | | | | | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.28/33.19  | | | | | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.28/33.19  | | | | | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 196.28/33.19  | | | | | | | |                 e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.28/33.19  | | | | | | | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 196.28/33.19  | | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 196.28/33.19  | | | | | | | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 196.28/33.19  | | | | | | | |               e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.28/33.19  | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.28/33.19  | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 196.28/33.19  | | | | | | | |                 e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.28/33.19  | | | | | | | |         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 &
% 196.28/33.19  | | | | | | | |               op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 196.28/33.19  | | | | | | | |                 e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 196.28/33.19  | | | | | | | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 196.28/33.19  | | | | | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 196.28/33.19  | | | | | | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 =
% 196.28/33.19  | | | | | | | |                 e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.28/33.19  | | | | | | | | 
% 196.28/33.19  | | | | | | | | BETA: splitting (79) gives:
% 196.28/33.19  | | | | | | | | 
% 196.28/33.19  | | | | | | | | Case 1:
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | |   (80)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 196.28/33.19  | | | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 196.28/33.19  | | | | | | | | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14
% 196.28/33.19  | | | | | | | | |               = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.28/33.19  | | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.28/33.19  | | | | | | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 196.28/33.19  | | | | | | | | |                 = e0) & op(e0, e3) = all_57_2 &
% 196.28/33.19  | | | | | | | | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) =
% 196.28/33.19  | | | | | | | | |           e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.28/33.19  | | | | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.28/33.19  | | | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) =
% 196.28/33.19  | | | | | | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.28/33.19  | | | | | | | | |               all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.28/33.19  | | | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.28/33.19  | | | | | | | | |                 e2) = all_57_5 & $i(all_57_5))))
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | BETA: splitting (80) gives:
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | Case 1:
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | |   (81)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3
% 196.28/33.19  | | | | | | | | | |             & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.28/33.19  | | | | | | | | | |             op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.28/33.19  | | | | | | | | | |         ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 196.28/33.19  | | | | | | | | | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 196.28/33.19  | | | | | | | | | |         & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~
% 196.28/33.19  | | | | | | | | | |             (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.28/33.19  | | | | | | | | | |             $i(all_57_2)))
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | | ALPHA: (81) implies:
% 196.28/33.19  | | | | | | | | | |   (82)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 196.28/33.19  | | | | | | | | | |             e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (11), (12), (13), (14), (15),
% 196.28/33.19  | | | | | | | | | |            (17), (20), (21), (22), (26), (27), (28), (29),
% 196.28/33.19  | | | | | | | | | |            (30), (32), (33), (35), (48), (49), (56), (58),
% 196.28/33.19  | | | | | | | | | |            (59), (82) are inconsistent by sub-proof #867.
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | Case 2:
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | |   (83)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2
% 196.28/33.19  | | | | | | | | | |             & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.28/33.19  | | | | | | | | | |             op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.28/33.19  | | | | | | | | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 196.28/33.19  | | | | | | | | | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 196.28/33.19  | | | | | | | | | |         & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.28/33.19  | | | | | | | | | |             (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.28/33.19  | | | | | | | | | |             $i(all_57_5)))
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | | ALPHA: (83) implies:
% 196.28/33.19  | | | | | | | | | |   (84)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.28/33.19  | | | | | | | | | |             e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | | REF_CLOSE: (6), (8), (31), (58), (84) are inconsistent by
% 196.28/33.19  | | | | | | | | | |            sub-proof #879.
% 196.28/33.19  | | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | End of split
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | Case 2:
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | |   (85)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 196.28/33.19  | | | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 196.28/33.19  | | | | | | | | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12
% 196.28/33.19  | | | | | | | | |               = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.28/33.19  | | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.28/33.19  | | | | | | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 196.28/33.19  | | | | | | | | |                 = e0) & op(e0, e1) = all_57_8 &
% 196.28/33.19  | | | | | | | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) =
% 196.28/33.19  | | | | | | | | |           e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.28/33.19  | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.28/33.19  | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) =
% 196.28/33.19  | | | | | | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.28/33.19  | | | | | | | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 &
% 196.28/33.19  | | | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.28/33.19  | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13))))
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | | REF_CLOSE: (5), (8), (31), (48), (49), (85) are inconsistent
% 196.28/33.19  | | | | | | | | |            by sub-proof #866.
% 196.28/33.19  | | | | | | | | | 
% 196.28/33.19  | | | | | | | | End of split
% 196.28/33.19  | | | | | | | | 
% 196.28/33.19  | | | | | | | End of split
% 196.28/33.19  | | | | | | | 
% 196.28/33.19  | | | | | | End of split
% 196.28/33.19  | | | | | | 
% 196.28/33.19  | | | | | Case 2:
% 196.28/33.19  | | | | | | 
% 196.28/33.19  | | | | | |   (86)   ~ (all_54_6 = e2)
% 196.28/33.19  | | | | | | 
% 196.28/33.19  | | | | | | REDUCE: (3), (86) imply:
% 196.28/33.19  | | | | | |   (87)   ~ (all_52_9 = e2)
% 196.28/33.19  | | | | | | 
% 196.28/33.19  | | | | | | REF_CLOSE: (8), (27), (33), (87) are inconsistent by sub-proof
% 196.28/33.19  | | | | | |            #1942.
% 196.28/33.19  | | | | | | 
% 196.28/33.19  | | | | | End of split
% 196.28/33.19  | | | | | 
% 196.28/33.19  | | | | End of split
% 196.28/33.19  | | | | 
% 196.28/33.19  | | | Case 2:
% 196.28/33.19  | | | | 
% 196.28/33.19  | | | |   (88)  all_54_2 = e0
% 196.28/33.19  | | | | 
% 196.28/33.19  | | | | COMBINE_EQS: (7), (88) imply:
% 196.28/33.19  | | | |   (89)  all_52_8 = e0
% 196.28/33.19  | | | | 
% 196.28/33.19  | | | | REDUCE: (34), (89) imply:
% 196.28/33.19  | | | |   (90)  $false
% 196.28/33.19  | | | | 
% 196.28/33.19  | | | | CLOSE: (90) is inconsistent.
% 196.28/33.19  | | | | 
% 196.28/33.19  | | | End of split
% 196.28/33.19  | | | 
% 196.28/33.19  | | End of split
% 196.28/33.19  | | 
% 196.28/33.19  | End of split
% 196.28/33.19  | 
% 196.28/33.19  End of proof
% 196.28/33.19  
% 196.28/33.19  Sub-proof #866 shows that the following formulas are inconsistent:
% 196.28/33.19  ----------------------------------------------------------------
% 196.28/33.19    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.28/33.19             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.28/33.19           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.28/33.19               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.28/33.19             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.28/33.19         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.28/33.19             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.28/33.19           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.28/33.19               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.28/33.19             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.28/33.19    (2)  op(e0, e0) = e1
% 196.28/33.19    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.19    (4)   ~ (e1 = e0)
% 196.28/33.19    (5)   ~ (e3 = e1)
% 196.28/33.19    (6)  op(e1, e1) = e3
% 196.28/33.19  
% 196.28/33.19  Begin of proof
% 196.28/33.19  | 
% 196.28/33.19  | BETA: splitting (1) gives:
% 196.28/33.19  | 
% 196.28/33.19  | Case 1:
% 196.28/33.19  | | 
% 196.28/33.19  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 196.28/33.19  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.28/33.19  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.28/33.19  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.28/33.19  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.28/33.19  | |              e1) = all_57_8 & $i(all_57_8)))
% 196.28/33.19  | | 
% 196.28/33.19  | | ALPHA: (7) implies:
% 196.28/33.19  | |   (8)  op(e1, e1) = e1
% 196.28/33.19  | | 
% 196.28/33.19  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1978.
% 196.28/33.19  | | 
% 196.28/33.19  | Case 2:
% 196.28/33.19  | | 
% 196.28/33.19  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 196.28/33.19  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.28/33.19  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.28/33.19  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 196.28/33.19  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.28/33.19  | |              e0) = all_57_13 & $i(all_57_13)))
% 196.28/33.19  | | 
% 196.28/33.19  | | ALPHA: (9) implies:
% 196.28/33.19  | |   (10)  op(e0, e0) = e0
% 196.28/33.19  | | 
% 196.28/33.19  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1943.
% 196.28/33.19  | | 
% 196.28/33.19  | End of split
% 196.28/33.19  | 
% 196.28/33.19  End of proof
% 196.28/33.19  
% 196.28/33.19  Sub-proof #867 shows that the following formulas are inconsistent:
% 196.28/33.19  ----------------------------------------------------------------
% 196.28/33.19    (1)  op(e0, e0) = e1
% 196.28/33.19    (2)  op(e1, e2) = e1
% 196.28/33.19    (3)   ~ (e3 = e2)
% 196.28/33.19    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.19    (5)  op(e2, e2) = all_4_2
% 196.28/33.19    (6)   ~ (all_52_8 = e3)
% 196.28/33.19    (7)  op(e2, e0) = all_52_13
% 196.28/33.19    (8)  op(e1, e0) = all_52_14
% 196.28/33.19    (9)  op(e0, e1) = e0
% 196.28/33.19    (10)  op(e3, e0) = e0
% 196.28/33.19    (11)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.28/33.19              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.28/33.19            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.28/33.19            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.28/33.19            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.28/33.19            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.28/33.19            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.28/33.19            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.28/33.19            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.28/33.19            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.28/33.19            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.28/33.19            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.28/33.19            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.28/33.19            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.28/33.19            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.28/33.19            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.28/33.19            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.28/33.19            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.28/33.19            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.28/33.19            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.28/33.19            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.28/33.19            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.28/33.19            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.28/33.19            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.28/33.19            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.28/33.19            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.28/33.19            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.28/33.19            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.28/33.19            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.28/33.19            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.28/33.19            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.28/33.19            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.28/33.19            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.28/33.19            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.28/33.19            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.28/33.19            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.28/33.19            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.28/33.19            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.28/33.19            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.28/33.19            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.28/33.19            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.28/33.19            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.28/33.19            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.28/33.19            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.28/33.19            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.28/33.19            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.28/33.19            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.28/33.19            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.28/33.19              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.28/33.19            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.28/33.19            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.28/33.19              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.28/33.19            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.28/33.19            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.28/33.19                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.28/33.19                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.28/33.19                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.28/33.19                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.28/33.19                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.28/33.19                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.28/33.19                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.28/33.19              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.28/33.19                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.28/33.19                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.28/33.19                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.28/33.19                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.28/33.19                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.28/33.19                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.28/33.19                $i(all_57_7))))
% 196.28/33.19    (12)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.28/33.19            all_57_2 & $i(all_57_2))
% 196.28/33.19    (13)  op(e3, e3) = e3
% 196.28/33.19    (14)   ~ (all_52_14 = e1)
% 196.28/33.19    (15)   ~ (all_4_2 = e3)
% 196.28/33.19    (16)   ~ (e1 = e0)
% 196.28/33.19    (17)   ~ (all_52_1 = e2)
% 196.28/33.19    (18)   ~ (e2 = e1)
% 196.28/33.19    (19)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 196.28/33.19            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 196.28/33.19              e1) = all_16_1 & $i(all_16_1))
% 196.28/33.19    (20)  op(e2, e1) = all_52_9
% 196.28/33.19    (21)  op(e3, e1) = all_52_8
% 196.28/33.19    (22)  op(e2, e2) = e0
% 196.28/33.19    (23)   ~ (all_52_9 = all_52_13)
% 196.28/33.19    (24)   ~ (e3 = e1)
% 196.28/33.19    (25)  op(e2, e3) = all_52_1
% 196.28/33.19    (26)  op(e2, e1) = e2
% 196.28/33.19    (27)   ~ (e3 = e0)
% 196.28/33.19  
% 196.28/33.19  Begin of proof
% 196.28/33.19  | 
% 196.28/33.19  | BETA: splitting (19) gives:
% 196.28/33.19  | 
% 196.28/33.19  | Case 1:
% 196.28/33.19  | | 
% 196.28/33.19  | |   (28)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 196.28/33.19  | |         all_16_1 & $i(all_16_0) & $i(all_16_1)
% 196.28/33.19  | | 
% 196.28/33.19  | | ALPHA: (28) implies:
% 196.28/33.19  | |   (29)  op(e0, e1) = all_16_1
% 196.28/33.19  | | 
% 196.28/33.19  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.28/33.19  | |            (13), (14), (15), (16), (17), (18), (20), (21), (22), (23), (24),
% 196.28/33.19  | |            (25), (26), (27), (29) are inconsistent by sub-proof #868.
% 196.28/33.19  | | 
% 196.28/33.19  | Case 2:
% 196.28/33.19  | | 
% 196.28/33.19  | |   (30)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 & $i(all_16_1)
% 196.28/33.19  | | 
% 196.28/33.19  | | ALPHA: (30) implies:
% 196.28/33.19  | |   (31)  op(e0, e1) = all_16_1
% 196.28/33.19  | | 
% 196.28/33.19  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.28/33.19  | |            (13), (14), (15), (16), (17), (18), (20), (21), (22), (23), (24),
% 196.28/33.19  | |            (25), (26), (27), (31) are inconsistent by sub-proof #868.
% 196.28/33.19  | | 
% 196.28/33.19  | End of split
% 196.28/33.19  | 
% 196.28/33.19  End of proof
% 196.28/33.19  
% 196.28/33.19  Sub-proof #868 shows that the following formulas are inconsistent:
% 196.28/33.19  ----------------------------------------------------------------
% 196.28/33.19    (1)  op(e0, e0) = e1
% 196.28/33.19    (2)  op(e1, e2) = e1
% 196.28/33.19    (3)   ~ (e3 = e2)
% 196.28/33.19    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.19    (5)  op(e2, e2) = all_4_2
% 196.28/33.19    (6)   ~ (all_52_8 = e3)
% 196.28/33.19    (7)  op(e0, e1) = all_16_1
% 196.28/33.19    (8)  op(e2, e0) = all_52_13
% 196.28/33.19    (9)  op(e1, e0) = all_52_14
% 196.28/33.19    (10)  op(e0, e1) = e0
% 196.28/33.19    (11)  op(e3, e0) = e0
% 196.28/33.19    (12)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.28/33.19              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.28/33.19            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.28/33.19            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.28/33.19            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.28/33.19            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.28/33.19            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.28/33.19            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.28/33.19            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.28/33.19            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.28/33.19            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.28/33.19            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.28/33.19            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.28/33.19            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.28/33.19            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.28/33.19            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.28/33.19            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.28/33.19            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.28/33.19            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.28/33.19            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.28/33.19            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.28/33.19            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.28/33.19            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.28/33.19            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.28/33.19            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.28/33.19            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.28/33.19            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.28/33.19            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.28/33.19            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.28/33.19            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.28/33.19            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.28/33.19            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.28/33.19            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.28/33.19            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.28/33.19            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.28/33.19            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.28/33.19            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.28/33.19            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.28/33.19            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.28/33.19            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.28/33.19            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.28/33.19            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.28/33.19            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.28/33.19            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.28/33.19            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.28/33.19            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.28/33.19            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.28/33.19            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.28/33.19              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.28/33.19            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.28/33.19            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.28/33.19              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.28/33.19            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.28/33.19            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.28/33.19                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.28/33.19                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.28/33.19                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.28/33.19                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.28/33.19                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.28/33.19                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.28/33.19                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.28/33.19              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.28/33.19                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.28/33.19                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.28/33.19                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.28/33.19                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.28/33.19                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.28/33.19                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.28/33.19                $i(all_57_7))))
% 196.28/33.19    (13)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.28/33.19            all_57_2 & $i(all_57_2))
% 196.28/33.19    (14)  op(e3, e3) = e3
% 196.28/33.19    (15)   ~ (all_52_14 = e1)
% 196.28/33.19    (16)   ~ (all_4_2 = e3)
% 196.28/33.19    (17)   ~ (e1 = e0)
% 196.28/33.19    (18)   ~ (all_52_1 = e2)
% 196.28/33.19    (19)   ~ (e2 = e1)
% 196.28/33.19    (20)  op(e2, e1) = all_52_9
% 196.28/33.19    (21)  op(e3, e1) = all_52_8
% 196.28/33.19    (22)  op(e2, e2) = e0
% 196.28/33.19    (23)   ~ (all_52_9 = all_52_13)
% 196.28/33.19    (24)   ~ (e3 = e1)
% 196.28/33.19    (25)  op(e2, e3) = all_52_1
% 196.28/33.19    (26)  op(e2, e1) = e2
% 196.28/33.19    (27)   ~ (e3 = e0)
% 196.28/33.19  
% 196.28/33.19  Begin of proof
% 196.28/33.19  | 
% 196.28/33.19  | BETA: splitting (12) gives:
% 196.28/33.19  | 
% 196.28/33.19  | Case 1:
% 196.28/33.19  | | 
% 196.28/33.20  | |   (28)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 196.28/33.20  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.28/33.20  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.28/33.20  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.28/33.20  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.28/33.20  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 196.28/33.20  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 196.28/33.20  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 196.28/33.20  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.28/33.20  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 196.28/33.20  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.28/33.20  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 196.28/33.20  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 196.28/33.20  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.28/33.20  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.28/33.20  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 196.28/33.20  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.28/33.20  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.28/33.20  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 196.28/33.20  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 196.28/33.20  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.28/33.20  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.28/33.20  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.28/33.20  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.28/33.20  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.28/33.20  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.28/33.20  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.28/33.20  | | 
% 196.28/33.20  | | BETA: splitting (28) gives:
% 196.28/33.20  | | 
% 196.28/33.20  | | Case 1:
% 196.28/33.20  | | | 
% 196.28/33.20  | | |   (29)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.28/33.20  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.28/33.20  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.28/33.20  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 196.28/33.20  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.28/33.20  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.28/33.20  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 196.28/33.20  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.28/33.20  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.28/33.20  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 196.28/33.20  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.28/33.20  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 196.28/33.20  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.28/33.20  | | | 
% 196.28/33.20  | | | BETA: splitting (29) gives:
% 196.28/33.20  | | | 
% 196.28/33.20  | | | Case 1:
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | |   (30)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.28/33.20  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.28/33.20  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.28/33.20  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 196.28/33.20  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.28/33.20  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 196.28/33.20  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | | REF_CLOSE: (4), (18), (25), (30) are inconsistent by sub-proof #1784.
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | Case 2:
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | |   (31)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.28/33.20  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.28/33.20  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.28/33.20  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 196.28/33.20  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.28/33.20  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 196.28/33.20  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | | REF_CLOSE: (1), (4), (5), (16), (24), (31) are inconsistent by sub-proof
% 196.28/33.20  | | | |            #980.
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | End of split
% 196.28/33.20  | | | 
% 196.28/33.20  | | Case 2:
% 196.28/33.20  | | | 
% 196.28/33.20  | | |   (32)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.28/33.20  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.28/33.20  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.28/33.20  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 196.28/33.20  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.28/33.20  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.28/33.20  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.28/33.20  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.28/33.20  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 196.28/33.20  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 196.28/33.20  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 196.28/33.20  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 196.28/33.20  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 196.28/33.20  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.28/33.20  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.28/33.20  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.28/33.20  | | | 
% 196.28/33.20  | | | BETA: splitting (32) gives:
% 196.28/33.20  | | | 
% 196.28/33.20  | | | Case 1:
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | |   (33)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.28/33.20  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.28/33.20  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.28/33.20  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.28/33.20  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 196.28/33.20  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.28/33.20  | | | |           $i(all_57_5) & $i(all_57_10))
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | | REF_CLOSE: (1), (2), (4), (19), (33) are inconsistent by sub-proof #903.
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | Case 2:
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | |   (34)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.28/33.20  | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.28/33.20  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.28/33.20  | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 196.28/33.20  | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.28/33.20  | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 196.28/33.20  | | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.28/33.20  | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 196.28/33.20  | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.28/33.20  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | | REF_CLOSE: (1), (3), (4), (14), (17), (19), (22), (34) are inconsistent
% 196.28/33.20  | | | |            by sub-proof #921.
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | End of split
% 196.28/33.20  | | | 
% 196.28/33.20  | | End of split
% 196.28/33.20  | | 
% 196.28/33.20  | Case 2:
% 196.28/33.20  | | 
% 196.28/33.20  | |   (35)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 196.28/33.20  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.28/33.20  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 196.28/33.20  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 196.28/33.20  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.28/33.20  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 196.28/33.20  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 196.28/33.20  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.28/33.20  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.28/33.20  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.28/33.20  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.28/33.20  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.28/33.20  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 196.28/33.20  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 196.28/33.20  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.28/33.20  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.28/33.20  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.28/33.20  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 196.28/33.20  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.28/33.20  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.28/33.20  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 196.28/33.20  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 196.28/33.20  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 196.28/33.20  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.28/33.20  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 196.28/33.20  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.28/33.20  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 196.28/33.20  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.28/33.20  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.28/33.20  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.28/33.20  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.28/33.20  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.28/33.20  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.28/33.20  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.28/33.20  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.28/33.20  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.28/33.20  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.28/33.20  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.28/33.20  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.28/33.20  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.28/33.20  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.28/33.20  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.28/33.20  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.28/33.20  | |               $i(all_57_7))))
% 196.28/33.20  | | 
% 196.28/33.20  | | BETA: splitting (35) gives:
% 196.28/33.20  | | 
% 196.28/33.20  | | Case 1:
% 196.28/33.20  | | | 
% 196.28/33.20  | | |   (36)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.28/33.20  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.28/33.20  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.28/33.20  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 196.28/33.20  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.28/33.20  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.28/33.20  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 196.28/33.20  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.28/33.20  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 196.28/33.20  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 196.28/33.20  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.28/33.20  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.28/33.20  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 196.28/33.20  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.28/33.20  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.28/33.20  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.28/33.20  | | |           $i(all_57_13))
% 196.28/33.20  | | | 
% 196.28/33.20  | | | BETA: splitting (36) gives:
% 196.28/33.20  | | | 
% 196.28/33.20  | | | Case 1:
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | |   (37)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.28/33.20  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.28/33.20  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.28/33.20  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 196.28/33.20  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 196.28/33.20  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 196.28/33.20  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | | REF_CLOSE: (4), (6), (14), (21), (24), (37) are inconsistent by
% 196.28/33.20  | | | |            sub-proof #1351.
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | Case 2:
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | |   (38)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.28/33.20  | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.28/33.20  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.28/33.20  | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 196.28/33.20  | | | |           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.28/33.20  | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 196.28/33.20  | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.28/33.20  | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.28/33.20  | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 196.28/33.20  | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | | BETA: splitting (38) gives:
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | | Case 1:
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | |   (39)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.28/33.20  | | | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.28/33.20  | | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.28/33.20  | | | | |         $i(all_57_12)
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | | ALPHA: (39) implies:
% 196.28/33.20  | | | | |   (40)   ~ (all_57_8 = e0)
% 196.28/33.20  | | | | |   (41)  op(e0, e1) = all_57_8
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | | REF_CLOSE: (4), (7), (10), (40), (41) are inconsistent by sub-proof
% 196.28/33.20  | | | | |            #869.
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | Case 2:
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | |   (42)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.28/33.20  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 196.28/33.20  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.28/33.20  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 196.28/33.20  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 196.28/33.20  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.28/33.20  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | | REF_CLOSE: (4), (11), (27), (42) are inconsistent by sub-proof #1383.
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | End of split
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | End of split
% 196.28/33.20  | | | 
% 196.28/33.20  | | Case 2:
% 196.28/33.20  | | | 
% 196.28/33.20  | | |   (43)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.28/33.20  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.28/33.20  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.28/33.20  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.28/33.20  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.28/33.20  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.28/33.20  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 196.28/33.20  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.28/33.20  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 196.28/33.20  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 196.28/33.20  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.28/33.20  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 196.28/33.20  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.28/33.20  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.28/33.20  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.28/33.20  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.28/33.20  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.28/33.20  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.28/33.20  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 196.28/33.20  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.28/33.20  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.28/33.20  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.28/33.20  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 196.28/33.20  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.28/33.20  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.28/33.20  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.28/33.20  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.28/33.20  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.28/33.20  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.28/33.20  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 196.28/33.20  | | | 
% 196.28/33.20  | | | BETA: splitting (43) gives:
% 196.28/33.20  | | | 
% 196.28/33.20  | | | Case 1:
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | |   (44)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.28/33.20  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.28/33.20  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.28/33.20  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 196.28/33.20  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.28/33.20  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.28/33.20  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | | REF_CLOSE: (4), (14), (27), (44) are inconsistent by sub-proof #1960.
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | Case 2:
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | |   (45)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.28/33.20  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.28/33.20  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.28/33.20  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 196.28/33.20  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.28/33.20  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.28/33.20  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 196.28/33.20  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 196.28/33.20  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.28/33.20  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.28/33.20  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.28/33.20  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.28/33.20  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.28/33.20  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.28/33.20  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.28/33.20  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.28/33.20  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.28/33.20  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 196.28/33.20  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.28/33.20  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 196.28/33.20  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.28/33.20  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.28/33.20  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.28/33.20  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | | BETA: splitting (45) gives:
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | | Case 1:
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | |   (46)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.28/33.20  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.28/33.20  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.28/33.20  | | | | |         $i(all_57_13)
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | | ALPHA: (46) implies:
% 196.28/33.20  | | | | |   (47)  op(e2, e0) = e2
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | | REF_CLOSE: (4), (8), (20), (23), (26), (47) are inconsistent by
% 196.28/33.20  | | | | |            sub-proof #1887.
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | Case 2:
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | |   (48)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.28/33.20  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.28/33.20  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.28/33.20  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.28/33.20  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.28/33.20  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.28/33.20  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.28/33.20  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.28/33.20  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.28/33.20  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.28/33.20  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.28/33.20  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.28/33.20  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.28/33.20  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.28/33.20  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.28/33.20  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.28/33.20  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.28/33.20  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.28/33.20  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.28/33.20  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.28/33.20  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.28/33.20  | | | | |               $i(all_57_7))))
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | | BETA: splitting (48) gives:
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | | Case 1:
% 196.28/33.20  | | | | | | 
% 196.28/33.20  | | | | | |   (49)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.28/33.20  | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.28/33.20  | | | | | |         & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.28/33.20  | | | | | |         $i(all_57_14)
% 196.28/33.20  | | | | | | 
% 196.28/33.20  | | | | | | ALPHA: (49) implies:
% 196.28/33.20  | | | | | |   (50)  op(e1, e0) = e1
% 196.28/33.20  | | | | | | 
% 196.28/33.20  | | | | | | REF_CLOSE: (4), (9), (15), (50) are inconsistent by sub-proof #1958.
% 196.28/33.20  | | | | | | 
% 196.28/33.20  | | | | | Case 2:
% 196.28/33.20  | | | | | | 
% 196.28/33.20  | | | | | |   (51)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.28/33.20  | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.28/33.20  | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 196.28/33.20  | | | | | |               e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.28/33.20  | | | | | |             = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 196.28/33.20  | | | | | |               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.28/33.20  | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.28/33.20  | | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.28/33.20  | | | | | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.28/33.20  | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.28/33.20  | | | | | |             (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.28/33.20  | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.28/33.20  | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.28/33.20  | | | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.28/33.20  | | | | | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.28/33.20  | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.28/33.20  | | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.28/33.20  | | | | | |             & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.28/33.20  | | | | | |             $i(all_57_7)))
% 196.28/33.20  | | | | | | 
% 196.28/33.20  | | | | | | ALPHA: (51) implies:
% 196.28/33.20  | | | | | |   (52)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.28/33.20  | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 196.28/33.20  | | | | | |           & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.28/33.20  | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 196.28/33.20  | | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 196.28/33.20  | | | | | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.28/33.20  | | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.28/33.20  | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.28/33.20  | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.28/33.20  | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 196.28/33.20  | | | | | |           & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.28/33.20  | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 196.28/33.20  | | | | | |           & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.28/33.20  | | | | | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.28/33.20  | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.28/33.20  | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.28/33.20  | | | | | | 
% 196.28/33.20  | | | | | | BETA: splitting (52) gives:
% 196.28/33.20  | | | | | | 
% 196.28/33.20  | | | | | | Case 1:
% 196.28/33.20  | | | | | | | 
% 196.28/33.20  | | | | | | |   (53)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.28/33.20  | | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.28/33.20  | | | | | | |           e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.28/33.20  | | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.28/33.20  | | | | | | |             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.28/33.20  | | | | | | |             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.28/33.20  | | | | | | |           = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.28/33.20  | | | | | | |             e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.28/33.20  | | | | | | |           $i(all_57_3))
% 196.28/33.20  | | | | | | | 
% 196.28/33.20  | | | | | | | BETA: splitting (53) gives:
% 196.28/33.20  | | | | | | | 
% 196.28/33.20  | | | | | | | Case 1:
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | |   (54)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.28/33.20  | | | | | | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.28/33.20  | | | | | | | |         e3 & op(e0, e3) = e0 & $i(all_57_0)
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | | ALPHA: (54) implies:
% 196.28/33.20  | | | | | | | |   (55)  op(e2, e2) = e3
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | | REF_CLOSE: (4), (5), (16), (55) are inconsistent by sub-proof
% 196.28/33.20  | | | | | | | |            #1975.
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | Case 2:
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | |   (56)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.28/33.20  | | | | | | | |           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 196.28/33.20  | | | | | | | |             e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.28/33.20  | | | | | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 196.28/33.20  | | | | | | | |           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.28/33.20  | | | | | | | |           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | | BETA: splitting (56) gives:
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | | Case 1:
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | |   (57)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.28/33.20  | | | | | | | | |         ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 196.28/33.20  | | | | | | | | |           e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | | ALPHA: (57) implies:
% 196.28/33.20  | | | | | | | | |   (58)  op(e0, e3) = e0
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | | REF_CLOSE: (1), (4), (13), (24), (58) are inconsistent by
% 196.28/33.20  | | | | | | | | |            sub-proof #911.
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | Case 2:
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | |   (59)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 196.28/33.20  | | | | | | | | |         ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.28/33.20  | | | | | | | | |         all_57_3 & op(e0, e2) = e0 & $i(all_57_3)
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | | ALPHA: (59) implies:
% 196.28/33.20  | | | | | | | | |   (60)  op(e3, e3) = e2
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | | REF_CLOSE: (3), (4), (14), (60) are inconsistent by sub-proof
% 196.28/33.20  | | | | | | | | |            #1957.
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | End of split
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | End of split
% 196.28/33.20  | | | | | | | 
% 196.28/33.20  | | | | | | Case 2:
% 196.28/33.20  | | | | | | | 
% 196.28/33.20  | | | | | | |   (61)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.28/33.20  | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.28/33.20  | | | | | | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.28/33.20  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.28/33.20  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.28/33.20  | | | | | | |             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.28/33.20  | | | | | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.28/33.20  | | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.28/33.20  | | | | | | |           $i(all_57_7))
% 196.28/33.20  | | | | | | | 
% 196.28/33.20  | | | | | | | BETA: splitting (61) gives:
% 196.28/33.20  | | | | | | | 
% 196.28/33.20  | | | | | | | Case 1:
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | |   (62)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.28/33.20  | | | | | | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.28/33.20  | | | | | | | |         e2 & op(e0, e2) = e0 & $i(all_57_4)
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | | ALPHA: (62) implies:
% 196.28/33.20  | | | | | | | |   (63)   ~ (all_57_4 = e1)
% 196.28/33.20  | | | | | | | |   (64)  op(e1, e2) = all_57_4
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | | REF_CLOSE: (2), (4), (63), (64) are inconsistent by sub-proof
% 196.28/33.20  | | | | | | | |            #1303.
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | Case 2:
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | |   (65)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 196.28/33.20  | | | | | | | |           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.28/33.20  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 196.28/33.20  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.28/33.20  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.28/33.20  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | | BETA: splitting (65) gives:
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | | Case 1:
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | |   (66)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 196.28/33.20  | | | | | | | | |         ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.28/33.20  | | | | | | | | |         all_57_6 & op(e0, e1) = e0 & $i(all_57_6)
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | | ALPHA: (66) implies:
% 196.28/33.20  | | | | | | | | |   (67)  op(e3, e3) = e1
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | | REF_CLOSE: (4), (14), (24), (67) are inconsistent by sub-proof
% 196.28/33.20  | | | | | | | | |            #1966.
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | Case 2:
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | |   (68)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 196.28/33.20  | | | | | | | | |         ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.28/33.20  | | | | | | | | |         all_57_7 & op(e0, e1) = e0 & $i(all_57_7)
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | | ALPHA: (68) implies:
% 196.28/33.20  | | | | | | | | |   (69)  op(e2, e2) = e1
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | | REF_CLOSE: (4), (17), (22), (69) are inconsistent by sub-proof
% 196.28/33.20  | | | | | | | | |            #1909.
% 196.28/33.20  | | | | | | | | | 
% 196.28/33.20  | | | | | | | | End of split
% 196.28/33.20  | | | | | | | | 
% 196.28/33.20  | | | | | | | End of split
% 196.28/33.20  | | | | | | | 
% 196.28/33.20  | | | | | | End of split
% 196.28/33.20  | | | | | | 
% 196.28/33.20  | | | | | End of split
% 196.28/33.20  | | | | | 
% 196.28/33.20  | | | | End of split
% 196.28/33.20  | | | | 
% 196.28/33.20  | | | End of split
% 196.28/33.20  | | | 
% 196.28/33.20  | | End of split
% 196.28/33.20  | | 
% 196.28/33.20  | End of split
% 196.28/33.20  | 
% 196.28/33.20  End of proof
% 196.28/33.20  
% 196.28/33.20  Sub-proof #869 shows that the following formulas are inconsistent:
% 196.28/33.20  ----------------------------------------------------------------
% 196.28/33.20    (1)   ~ (all_57_8 = e0)
% 196.28/33.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.20    (3)  op(e0, e1) = all_57_8
% 196.28/33.20    (4)  op(e0, e1) = all_16_1
% 196.28/33.20    (5)  op(e0, e1) = e0
% 196.28/33.20  
% 196.28/33.20  Begin of proof
% 196.28/33.20  | 
% 196.28/33.20  | GROUND_INST: instantiating (2) with all_16_1, all_57_8, e1, e0, simplifying
% 196.28/33.20  |              with (3), (4) gives:
% 196.28/33.20  |   (6)  all_57_8 = all_16_1
% 196.28/33.20  | 
% 196.28/33.20  | GROUND_INST: instantiating (2) with e0, all_57_8, e1, e0, simplifying with
% 196.28/33.20  |              (3), (5) gives:
% 196.28/33.20  |   (7)  all_57_8 = e0
% 196.28/33.20  | 
% 196.28/33.20  | COMBINE_EQS: (6), (7) imply:
% 196.28/33.20  |   (8)  all_16_1 = e0
% 196.28/33.20  | 
% 196.28/33.20  | REDUCE: (1), (7) imply:
% 196.28/33.20  |   (9)  $false
% 196.28/33.20  | 
% 196.28/33.20  | CLOSE: (9) is inconsistent.
% 196.28/33.20  | 
% 196.28/33.20  End of proof
% 196.28/33.20  
% 196.28/33.20  Sub-proof #870 shows that the following formulas are inconsistent:
% 196.28/33.20  ----------------------------------------------------------------
% 196.28/33.20    (1)   ~ (e3 = e2)
% 196.28/33.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.20    (3)  op(e2, e0) = e3
% 196.28/33.20    (4)  op(e2, e0) = all_36_1
% 196.28/33.20    (5)  op(e2, e0) = all_52_13
% 196.28/33.20    (6)   ~ (all_52_13 = e1)
% 196.28/33.20    (7)  all_56_5 = e0
% 196.28/33.20    (8)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.28/33.20         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.28/33.20    (9)   ~ (e1 = e0)
% 196.28/33.20    (10)   ~ (e2 = e1)
% 196.28/33.20    (11)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.28/33.20          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.28/33.20    (12)  op(e2, e2) = e0
% 196.28/33.20    (13)   ~ (e2 = e0)
% 196.28/33.20  
% 196.28/33.20  Begin of proof
% 196.28/33.20  | 
% 196.28/33.20  | BETA: splitting (11) gives:
% 196.28/33.20  | 
% 196.28/33.20  | Case 1:
% 196.28/33.20  | | 
% 196.28/33.20  | |   (14)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 196.28/33.20  | |           e2)
% 196.28/33.20  | | 
% 196.28/33.20  | | REF_CLOSE: (2), (5), (6), (7), (8), (9), (10), (12), (13), (14) are
% 196.28/33.20  | |            inconsistent by sub-proof #871.
% 196.28/33.20  | | 
% 196.28/33.20  | Case 2:
% 196.28/33.20  | | 
% 196.28/33.20  | |   (15)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 196.28/33.20  | |           e2)
% 196.28/33.20  | | 
% 196.28/33.20  | | BETA: splitting (15) gives:
% 196.28/33.20  | | 
% 196.28/33.20  | | Case 1:
% 196.28/33.20  | | | 
% 196.28/33.20  | | |   (16)  all_56_5 = e2 & op(e2, e1) = e2
% 196.28/33.20  | | | 
% 196.28/33.20  | | | ALPHA: (16) implies:
% 196.28/33.20  | | |   (17)  all_56_5 = e2
% 196.28/33.20  | | | 
% 196.28/33.20  | | | REF_CLOSE: (7), (13), (17) are inconsistent by sub-proof #1860.
% 196.28/33.20  | | | 
% 196.28/33.20  | | Case 2:
% 196.28/33.20  | | | 
% 196.28/33.20  | | |   (18)  all_56_10 = e2 & op(e2, e0) = e2
% 196.28/33.20  | | | 
% 196.28/33.20  | | | ALPHA: (18) implies:
% 196.28/33.20  | | |   (19)  op(e2, e0) = e2
% 196.28/33.20  | | | 
% 196.28/33.20  | | | REF_CLOSE: (1), (2), (3), (4), (19) are inconsistent by sub-proof #1709.
% 196.28/33.20  | | | 
% 196.28/33.20  | | End of split
% 196.28/33.20  | | 
% 196.28/33.20  | End of split
% 196.28/33.20  | 
% 196.28/33.20  End of proof
% 196.28/33.20  
% 196.28/33.20  Sub-proof #871 shows that the following formulas are inconsistent:
% 196.28/33.20  ----------------------------------------------------------------
% 196.28/33.20    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.20    (2)  op(e2, e0) = all_52_13
% 196.28/33.20    (3)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 196.28/33.20    (4)   ~ (all_52_13 = e1)
% 196.28/33.20    (5)  all_56_5 = e0
% 196.28/33.20    (6)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.28/33.20         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.28/33.20    (7)   ~ (e1 = e0)
% 196.28/33.20    (8)   ~ (e2 = e1)
% 196.28/33.20    (9)  op(e2, e2) = e0
% 196.28/33.20    (10)   ~ (e2 = e0)
% 196.28/33.20  
% 196.28/33.20  Begin of proof
% 196.28/33.20  | 
% 196.28/33.20  | BETA: splitting (3) gives:
% 196.28/33.20  | 
% 196.28/33.20  | Case 1:
% 196.28/33.20  | | 
% 196.28/33.20  | |   (11)  all_56_2 = e2 & op(e2, e3) = e2
% 196.28/33.20  | | 
% 196.28/33.20  | | ALPHA: (11) implies:
% 196.28/33.20  | |   (12)  all_56_2 = e2
% 196.28/33.20  | | 
% 196.28/33.20  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (12) are inconsistent by
% 196.28/33.20  | |            sub-proof #872.
% 196.28/33.20  | | 
% 196.28/33.20  | Case 2:
% 196.28/33.20  | | 
% 196.28/33.20  | |   (13)  all_56_3 = e2 & op(e2, e2) = e2
% 196.28/33.20  | | 
% 196.28/33.20  | | ALPHA: (13) implies:
% 196.28/33.20  | |   (14)  op(e2, e2) = e2
% 196.28/33.20  | | 
% 196.28/33.20  | | REF_CLOSE: (1), (9), (10), (14) are inconsistent by sub-proof #1939.
% 196.28/33.20  | | 
% 196.28/33.20  | End of split
% 196.28/33.20  | 
% 196.28/33.20  End of proof
% 196.28/33.20  
% 196.28/33.20  Sub-proof #872 shows that the following formulas are inconsistent:
% 196.28/33.20  ----------------------------------------------------------------
% 196.28/33.21    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.21    (2)  op(e2, e0) = all_52_13
% 196.28/33.21    (3)   ~ (all_52_13 = e1)
% 196.28/33.21    (4)  all_56_5 = e0
% 196.28/33.21    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.28/33.21         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.28/33.21    (6)   ~ (e1 = e0)
% 196.28/33.21    (7)   ~ (e2 = e1)
% 196.28/33.21    (8)  all_56_2 = e2
% 196.28/33.21    (9)  op(e2, e2) = e0
% 196.28/33.21  
% 196.28/33.21  Begin of proof
% 196.28/33.21  | 
% 196.28/33.21  | BETA: splitting (5) gives:
% 196.28/33.21  | 
% 196.28/33.21  | Case 1:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (10)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 196.28/33.21  | |           e1)
% 196.28/33.21  | | 
% 196.28/33.21  | | BETA: splitting (10) gives:
% 196.28/33.21  | | 
% 196.28/33.21  | | Case 1:
% 196.28/33.21  | | | 
% 196.28/33.21  | | |   (11)  all_56_2 = e1 & op(e2, e3) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | REF_CLOSE: (7), (8), (11) are inconsistent by sub-proof #1570.
% 196.28/33.21  | | | 
% 196.28/33.21  | | Case 2:
% 196.28/33.21  | | | 
% 196.28/33.21  | | |   (12)  all_56_3 = e1 & op(e2, e2) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | ALPHA: (12) implies:
% 196.28/33.21  | | |   (13)  op(e2, e2) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | REF_CLOSE: (1), (6), (9), (13) are inconsistent by sub-proof #1909.
% 196.28/33.21  | | | 
% 196.28/33.21  | | End of split
% 196.28/33.21  | | 
% 196.28/33.21  | Case 2:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (14)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 196.28/33.21  | |           e1)
% 196.28/33.21  | | 
% 196.28/33.21  | | BETA: splitting (14) gives:
% 196.28/33.21  | | 
% 196.28/33.21  | | Case 1:
% 196.28/33.21  | | | 
% 196.28/33.21  | | |   (15)  all_56_5 = e1 & op(e2, e1) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | ALPHA: (15) implies:
% 196.28/33.21  | | |   (16)  all_56_5 = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | REF_CLOSE: (4), (6), (16) are inconsistent by sub-proof #1842.
% 196.28/33.21  | | | 
% 196.28/33.21  | | Case 2:
% 196.28/33.21  | | | 
% 196.28/33.21  | | |   (17)  all_56_10 = e1 & op(e2, e0) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | ALPHA: (17) implies:
% 196.28/33.21  | | |   (18)  op(e2, e0) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | REF_CLOSE: (1), (2), (3), (18) are inconsistent by sub-proof #1650.
% 196.28/33.21  | | | 
% 196.28/33.21  | | End of split
% 196.28/33.21  | | 
% 196.28/33.21  | End of split
% 196.28/33.21  | 
% 196.28/33.21  End of proof
% 196.28/33.21  
% 196.28/33.21  Sub-proof #873 shows that the following formulas are inconsistent:
% 196.28/33.21  ----------------------------------------------------------------
% 196.28/33.21    (1)  all_56_7 = e0 & op(e1, e2) = e0
% 196.28/33.21    (2)  all_56_7 = e2
% 196.28/33.21    (3)   ~ (e2 = e0)
% 196.28/33.21  
% 196.28/33.21  Begin of proof
% 196.28/33.21  | 
% 196.28/33.21  | ALPHA: (1) implies:
% 196.28/33.21  |   (4)  all_56_7 = e0
% 196.28/33.21  | 
% 196.28/33.21  | COMBINE_EQS: (2), (4) imply:
% 196.28/33.21  |   (5)  e2 = e0
% 196.28/33.21  | 
% 196.28/33.21  | REDUCE: (3), (5) imply:
% 196.28/33.21  |   (6)  $false
% 196.28/33.21  | 
% 196.28/33.21  | CLOSE: (6) is inconsistent.
% 196.28/33.21  | 
% 196.28/33.21  End of proof
% 196.28/33.21  
% 196.28/33.21  Sub-proof #874 shows that the following formulas are inconsistent:
% 196.28/33.21  ----------------------------------------------------------------
% 196.28/33.21    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.28/33.21         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.28/33.21    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.28/33.21         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.28/33.21    (3)   ~ (e3 = e2)
% 196.28/33.21    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.21    (5)  op(e2, e2) = all_4_2
% 196.28/33.21    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.28/33.21         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.28/33.21    (7)   ~ (all_52_7 = e1)
% 196.28/33.21    (8)  all_56_1 = e0
% 196.28/33.21    (9)   ~ (all_4_2 = e3)
% 196.28/33.21    (10)   ~ (e1 = e0)
% 196.28/33.21    (11)   ~ (e2 = e1)
% 196.28/33.21    (12)  op(e2, e2) = e0
% 196.28/33.21    (13)   ~ (e3 = e1)
% 196.28/33.21    (14)  op(e0, e2) = all_52_7
% 196.28/33.21    (15)   ~ (e2 = e0)
% 196.28/33.21    (16)   ~ (e3 = e0)
% 196.28/33.21  
% 196.28/33.21  Begin of proof
% 196.28/33.21  | 
% 196.28/33.21  | BETA: splitting (1) gives:
% 196.28/33.21  | 
% 196.28/33.21  | Case 1:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (17)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 196.28/33.21  | |           e1)
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (4), (8), (10), (12), (17) are inconsistent by sub-proof #1309.
% 196.28/33.21  | | 
% 196.28/33.21  | Case 2:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (18)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 196.28/33.21  | |           e1)
% 196.28/33.21  | | 
% 196.28/33.21  | | BETA: splitting (18) gives:
% 196.28/33.21  | | 
% 196.28/33.21  | | Case 1:
% 196.28/33.21  | | | 
% 196.28/33.21  | | |   (19)  all_56_7 = e1 & op(e1, e2) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | ALPHA: (19) implies:
% 196.28/33.21  | | |   (20)  all_56_7 = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (11), (12), (13), (15),
% 196.28/33.21  | | |            (16), (20) are inconsistent by sub-proof #1903.
% 196.28/33.21  | | | 
% 196.28/33.21  | | Case 2:
% 196.28/33.21  | | | 
% 196.28/33.21  | | |   (21)  all_56_13 = e1 & op(e0, e2) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | ALPHA: (21) implies:
% 196.28/33.21  | | |   (22)  op(e0, e2) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | REF_CLOSE: (4), (7), (14), (22) are inconsistent by sub-proof #1649.
% 196.28/33.21  | | | 
% 196.28/33.21  | | End of split
% 196.28/33.21  | | 
% 196.28/33.21  | End of split
% 196.28/33.21  | 
% 196.28/33.21  End of proof
% 196.28/33.21  
% 196.28/33.21  Sub-proof #875 shows that the following formulas are inconsistent:
% 196.28/33.21  ----------------------------------------------------------------
% 196.28/33.21    (1)  all_54_1 = all_36_0
% 196.28/33.21    (2)  all_54_1 = e3
% 196.28/33.21    (3)   ~ (all_36_0 = e3)
% 196.28/33.21  
% 196.28/33.21  Begin of proof
% 196.28/33.21  | 
% 196.28/33.21  | COMBINE_EQS: (1), (2) imply:
% 196.28/33.21  |   (4)  all_36_0 = e3
% 196.28/33.21  | 
% 196.28/33.21  | SIMP: (4) implies:
% 196.28/33.21  |   (5)  all_36_0 = e3
% 196.28/33.21  | 
% 196.28/33.21  | REDUCE: (3), (5) imply:
% 196.28/33.21  |   (6)  $false
% 196.28/33.21  | 
% 196.28/33.21  | CLOSE: (6) is inconsistent.
% 196.28/33.21  | 
% 196.28/33.21  End of proof
% 196.28/33.21  
% 196.28/33.21  Sub-proof #876 shows that the following formulas are inconsistent:
% 196.28/33.21  ----------------------------------------------------------------
% 196.28/33.21    (1)   ~ (all_52_11 = e1)
% 196.28/33.21    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.21    (3)  op(e0, e1) = all_52_11
% 196.28/33.21    (4)   ~ (all_52_11 = e0)
% 196.28/33.21    (5)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.28/33.21           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.28/33.21           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.28/33.21                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.28/33.21               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.28/33.21               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 196.28/33.21           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 196.28/33.21             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.28/33.21               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.28/33.21           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.28/33.21               = all_57_7 & $i(all_57_7))))
% 196.28/33.21  
% 196.28/33.21  Begin of proof
% 196.28/33.21  | 
% 196.28/33.21  | BETA: splitting (5) gives:
% 196.28/33.21  | 
% 196.28/33.21  | Case 1:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (6)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.28/33.21  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.28/33.21  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.28/33.21  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 196.28/33.21  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.28/33.21  | |            all_57_11 & $i(all_57_11)))
% 196.28/33.21  | | 
% 196.28/33.21  | | ALPHA: (6) implies:
% 196.28/33.21  | |   (7)  op(e0, e1) = e1
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1885.
% 196.28/33.21  | | 
% 196.28/33.21  | Case 2:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (8)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.28/33.21  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.28/33.21  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.28/33.21  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.28/33.21  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 196.28/33.21  | |            & $i(all_57_7)))
% 196.28/33.21  | | 
% 196.28/33.21  | | ALPHA: (8) implies:
% 196.28/33.21  | |   (9)  op(e0, e1) = e0
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1931.
% 196.28/33.21  | | 
% 196.28/33.21  | End of split
% 196.28/33.21  | 
% 196.28/33.21  End of proof
% 196.28/33.21  
% 196.28/33.21  Sub-proof #877 shows that the following formulas are inconsistent:
% 196.28/33.21  ----------------------------------------------------------------
% 196.28/33.21    (1)   ~ (e3 = e2)
% 196.28/33.21    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.21    (3)  op(e2, e2) = all_4_2
% 196.28/33.21    (4)   ~ (all_57_1 = e1)
% 196.28/33.21    (5)  op(e1, e0) = all_52_14
% 196.28/33.21    (6)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.28/33.21         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.28/33.21    (7)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.28/33.21             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.28/33.21           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.28/33.21           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.28/33.21             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.28/33.21           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.28/33.21           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.28/33.21           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 196.28/33.21           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.28/33.21           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 196.28/33.21           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.28/33.21         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.28/33.21             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.28/33.21           $i(all_57_7))
% 196.28/33.21    (8)  op(e1, e3) = all_57_1
% 196.28/33.21    (9)  op(e3, e3) = e3
% 196.28/33.21    (10)   ~ (all_4_2 = e1)
% 196.28/33.21    (11)   ~ (all_52_14 = e1)
% 196.28/33.21    (12)   ~ (all_4_2 = e3)
% 196.28/33.21    (13)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.28/33.21            all_57_4 & $i(all_57_4))
% 196.28/33.21    (14)   ~ (e2 = e1)
% 196.28/33.21    (15)   ~ (e3 = e1)
% 196.28/33.21    (16)  op(e1, e1) = e3
% 196.28/33.21  
% 196.28/33.21  Begin of proof
% 196.28/33.21  | 
% 196.28/33.21  | BETA: splitting (6) gives:
% 196.28/33.21  | 
% 196.28/33.21  | Case 1:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (17)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 196.28/33.21  | |           e1)
% 196.28/33.21  | | 
% 196.28/33.21  | | BETA: splitting (17) gives:
% 196.28/33.21  | | 
% 196.28/33.21  | | Case 1:
% 196.28/33.21  | | | 
% 196.28/33.21  | | |   (18)  all_56_6 = e1 & op(e1, e3) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | ALPHA: (18) implies:
% 196.28/33.21  | | |   (19)  op(e1, e3) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | REF_CLOSE: (2), (4), (8), (19) are inconsistent by sub-proof #1326.
% 196.28/33.21  | | | 
% 196.28/33.21  | | Case 2:
% 196.28/33.21  | | | 
% 196.28/33.21  | | |   (20)  all_56_7 = e1 & op(e1, e2) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | ALPHA: (20) implies:
% 196.28/33.21  | | |   (21)  op(e1, e2) = e1
% 196.28/33.21  | | | 
% 196.28/33.21  | | | REF_CLOSE: (1), (2), (13), (16), (21) are inconsistent by sub-proof #879.
% 196.28/33.21  | | | 
% 196.28/33.21  | | End of split
% 196.28/33.21  | | 
% 196.28/33.21  | Case 2:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (22)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 196.28/33.21  | |           e1)
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (1), (2), (3), (5), (7), (9), (10), (11), (12), (14), (15), (22)
% 196.28/33.21  | |            are inconsistent by sub-proof #878.
% 196.28/33.21  | | 
% 196.28/33.21  | End of split
% 196.28/33.21  | 
% 196.28/33.21  End of proof
% 196.28/33.21  
% 196.28/33.21  Sub-proof #878 shows that the following formulas are inconsistent:
% 196.28/33.21  ----------------------------------------------------------------
% 196.28/33.21    (1)   ~ (e3 = e2)
% 196.28/33.21    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.21    (3)  op(e2, e2) = all_4_2
% 196.28/33.21    (4)  op(e1, e0) = all_52_14
% 196.28/33.21    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.28/33.21             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.28/33.21           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.28/33.21           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.28/33.21             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.28/33.21           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.28/33.21           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.28/33.21           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 196.28/33.21           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.28/33.21           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 196.28/33.21           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.28/33.21         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.28/33.21             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.28/33.21           $i(all_57_7))
% 196.28/33.21    (6)  op(e3, e3) = e3
% 196.28/33.21    (7)   ~ (all_4_2 = e1)
% 196.28/33.21    (8)   ~ (all_52_14 = e1)
% 196.28/33.21    (9)   ~ (all_4_2 = e3)
% 196.28/33.21    (10)   ~ (e2 = e1)
% 196.28/33.21    (11)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.28/33.21    (12)   ~ (e3 = e1)
% 196.28/33.21  
% 196.28/33.21  Begin of proof
% 196.28/33.21  | 
% 196.28/33.21  | BETA: splitting (11) gives:
% 196.28/33.21  | 
% 196.28/33.21  | Case 1:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (13)  all_56_8 = e1 & op(e1, e1) = e1
% 196.28/33.21  | | 
% 196.28/33.21  | | ALPHA: (13) implies:
% 196.28/33.21  | |   (14)  op(e1, e1) = e1
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (12), (14) are
% 196.28/33.21  | |            inconsistent by sub-proof #1953.
% 196.28/33.21  | | 
% 196.28/33.21  | Case 2:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (15)  all_56_11 = e1 & op(e1, e0) = e1
% 196.28/33.21  | | 
% 196.28/33.21  | | ALPHA: (15) implies:
% 196.28/33.21  | |   (16)  op(e1, e0) = e1
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (2), (4), (8), (16) are inconsistent by sub-proof #1958.
% 196.28/33.21  | | 
% 196.28/33.21  | End of split
% 196.28/33.21  | 
% 196.28/33.21  End of proof
% 196.28/33.21  
% 196.28/33.21  Sub-proof #879 shows that the following formulas are inconsistent:
% 196.28/33.21  ----------------------------------------------------------------
% 196.28/33.21    (1)  op(e1, e2) = e1
% 196.28/33.21    (2)   ~ (e3 = e2)
% 196.28/33.21    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.21    (4)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.28/33.21           all_57_4 & $i(all_57_4))
% 196.28/33.21    (5)  op(e1, e1) = e3
% 196.28/33.21  
% 196.28/33.21  Begin of proof
% 196.28/33.21  | 
% 196.28/33.21  | BETA: splitting (4) gives:
% 196.28/33.21  | 
% 196.28/33.21  | Case 1:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (6)  all_57_14 = e2 & op(e1, e1) = e2
% 196.28/33.21  | | 
% 196.28/33.21  | | ALPHA: (6) implies:
% 196.28/33.21  | |   (7)  op(e1, e1) = e2
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #1777.
% 196.28/33.21  | | 
% 196.28/33.21  | Case 2:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (8)   ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)
% 196.28/33.21  | | 
% 196.28/33.21  | | ALPHA: (8) implies:
% 196.28/33.21  | |   (9)   ~ (all_57_4 = e1)
% 196.28/33.21  | |   (10)  op(e1, e2) = all_57_4
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (1), (3), (9), (10) are inconsistent by sub-proof #1303.
% 196.28/33.21  | | 
% 196.28/33.21  | End of split
% 196.28/33.21  | 
% 196.28/33.21  End of proof
% 196.28/33.21  
% 196.28/33.21  Sub-proof #880 shows that the following formulas are inconsistent:
% 196.28/33.21  ----------------------------------------------------------------
% 196.28/33.21    (1)   ~ (e3 = e2)
% 196.28/33.21    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.21    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.28/33.21           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.28/33.21           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.28/33.21                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 196.28/33.21               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.28/33.21               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.28/33.21           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 196.28/33.21           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.28/33.21               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.28/33.21           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.28/33.21               = all_57_5 & $i(all_57_5))))
% 196.28/33.21    (4)   ~ (e2 = e1)
% 196.28/33.21    (5)  op(e2, e2) = e2
% 196.28/33.21    (6)  op(e1, e1) = e3
% 196.28/33.21  
% 196.28/33.21  Begin of proof
% 196.28/33.21  | 
% 196.28/33.21  | BETA: splitting (3) gives:
% 196.28/33.21  | 
% 196.28/33.21  | Case 1:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.28/33.21  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.28/33.21  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.28/33.21  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 196.28/33.21  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 196.28/33.21  | |            & $i(all_57_8)))
% 196.28/33.21  | | 
% 196.28/33.21  | | ALPHA: (7) implies:
% 196.28/33.21  | |   (8)  op(e2, e2) = e1
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1783.
% 196.28/33.21  | | 
% 196.28/33.21  | Case 2:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 196.28/33.21  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.28/33.21  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.28/33.21  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.28/33.21  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 196.28/33.21  | |            & $i(all_57_5)))
% 196.28/33.21  | | 
% 196.28/33.21  | | ALPHA: (9) implies:
% 196.28/33.21  | |   (10)  op(e1, e1) = e2
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1777.
% 196.28/33.21  | | 
% 196.28/33.21  | End of split
% 196.28/33.21  | 
% 196.28/33.21  End of proof
% 196.28/33.21  
% 196.28/33.21  Sub-proof #881 shows that the following formulas are inconsistent:
% 196.28/33.21  ----------------------------------------------------------------
% 196.28/33.21    (1)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.28/33.21             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.28/33.21           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 196.28/33.21           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.28/33.21           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 196.28/33.21           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.28/33.21           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 196.28/33.21           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 196.28/33.21           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 196.28/33.21           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 196.28/33.21           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.28/33.21           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 196.28/33.21           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.28/33.21           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.28/33.21           $i(all_57_10) & $i(all_57_13))
% 196.28/33.21    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.28/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.28/33.21    (3)   ~ (all_52_8 = e3)
% 196.28/33.21    (4)   ~ (all_52_9 = e2)
% 196.28/33.21    (5)  op(e3, e3) = e3
% 196.28/33.21    (6)   ~ (all_52_12 = e3)
% 196.28/33.21    (7)  op(e3, e0) = all_52_12
% 196.28/33.21    (8)  op(e2, e1) = all_52_9
% 196.28/33.21    (9)  op(e3, e1) = all_52_8
% 196.28/33.21    (10)   ~ (e3 = e1)
% 196.28/33.21  
% 196.28/33.21  Begin of proof
% 196.28/33.21  | 
% 196.28/33.21  | BETA: splitting (1) gives:
% 196.28/33.21  | 
% 196.28/33.21  | Case 1:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (11)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 196.28/33.21  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.28/33.21  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 196.28/33.21  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 196.28/33.21  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.28/33.21  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 196.28/33.21  | | 
% 196.28/33.21  | | REF_CLOSE: (2), (3), (5), (9), (10), (11) are inconsistent by sub-proof
% 196.28/33.21  | |            #1351.
% 196.28/33.21  | | 
% 196.28/33.21  | Case 2:
% 196.28/33.21  | | 
% 196.28/33.21  | |   (12)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 196.28/33.21  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.28/33.21  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.28/33.21  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.28/33.21  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.28/33.21  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.28/33.21  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 196.28/33.21  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 196.28/33.21  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.28/33.21  | |           $i(all_57_13))
% 196.28/33.21  | | 
% 196.28/33.21  | | BETA: splitting (12) gives:
% 196.28/33.21  | | 
% 196.28/33.21  | | Case 1:
% 196.28/33.21  | | | 
% 196.28/33.21  | | |   (13)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.28/33.21  | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.28/33.21  | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.28/33.21  | | |         $i(all_57_12)
% 196.28/33.21  | | | 
% 196.28/33.21  | | | ALPHA: (13) implies:
% 196.28/33.21  | | |   (14)  op(e2, e1) = e2
% 196.28/33.21  | | | 
% 196.28/33.21  | | | REF_CLOSE: (2), (4), (8), (14) are inconsistent by sub-proof #1942.
% 196.28/33.21  | | | 
% 196.28/33.21  | | Case 2:
% 196.28/33.21  | | | 
% 196.28/33.21  | | |   (15)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.28/33.21  | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.28/33.21  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.28/33.21  | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10
% 196.28/33.21  | | |             = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 196.28/33.21  | | |             e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.28/33.21  | | |           $i(all_57_10) & $i(all_57_13))
% 196.28/33.21  | | | 
% 196.28/33.21  | | | REF_CLOSE: (2), (6), (7), (15) are inconsistent by sub-proof #1963.
% 196.28/33.21  | | | 
% 196.28/33.21  | | End of split
% 196.28/33.21  | | 
% 196.28/33.21  | End of split
% 196.28/33.21  | 
% 196.28/33.21  End of proof
% 196.28/33.21  
% 196.28/33.21  Sub-proof #882 shows that the following formulas are inconsistent:
% 196.28/33.21  ----------------------------------------------------------------
% 196.28/33.21    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.28/33.21             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.28/33.21           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 196.28/33.21           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.28/33.21           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 196.28/33.21           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 196.28/33.21    (2)  op(e0, e0) = e1
% 196.28/33.21    (3)   ~ (e3 = e2)
% 196.31/33.21    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.21    (5)   ~ (e2 = e1)
% 196.31/33.21    (6)  op(e1, e1) = e3
% 196.31/33.21  
% 196.31/33.21  Begin of proof
% 196.31/33.21  | 
% 196.31/33.21  | BETA: splitting (1) gives:
% 196.31/33.21  | 
% 196.31/33.21  | Case 1:
% 196.31/33.21  | | 
% 196.31/33.21  | |   (7)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.31/33.21  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.31/33.21  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 196.31/33.21  | | 
% 196.31/33.21  | | ALPHA: (7) implies:
% 196.31/33.21  | |   (8)  op(e1, e1) = e2
% 196.31/33.21  | | 
% 196.31/33.21  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1777.
% 196.31/33.21  | | 
% 196.31/33.21  | Case 2:
% 196.31/33.21  | | 
% 196.31/33.21  | |   (9)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.31/33.21  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.31/33.21  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 196.31/33.21  | | 
% 196.31/33.21  | | ALPHA: (9) implies:
% 196.31/33.21  | |   (10)  op(e0, e0) = e2
% 196.31/33.21  | | 
% 196.31/33.21  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #1780.
% 196.31/33.21  | | 
% 196.31/33.21  | End of split
% 196.31/33.21  | 
% 196.31/33.21  End of proof
% 196.31/33.21  
% 196.31/33.21  Sub-proof #883 shows that the following formulas are inconsistent:
% 196.31/33.21  ----------------------------------------------------------------
% 196.31/33.21    (1)   ~ (all_52_3 = e1)
% 196.31/33.21    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.31/33.21         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.31/33.21    (3)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 196.31/33.21    (4)  op(e0, e0) = e1
% 196.31/33.21    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.31/33.21         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.31/33.21    (6)   ~ (e3 = e2)
% 196.31/33.21    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.21    (8)  op(e2, e2) = all_4_2
% 196.31/33.21    (9)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.31/33.21         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.31/33.21    (10)  op(e0, e3) = all_52_3
% 196.31/33.21    (11)  op(e2, e0) = all_52_13
% 196.31/33.21    (12)   ~ (all_52_13 = e1)
% 196.31/33.21    (13)  op(e3, e3) = e3
% 196.31/33.21    (14)   ~ (all_52_12 = e3)
% 196.31/33.21    (15)   ~ (all_4_2 = e1)
% 196.31/33.21    (16)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.31/33.21          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.31/33.21    (17)   ~ (all_4_2 = e3)
% 196.31/33.21    (18)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.31/33.21          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.31/33.21    (19)   ~ (e1 = e0)
% 196.31/33.21    (20)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.31/33.21          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.31/33.21    (21)   ~ (e2 = e1)
% 196.31/33.21    (22)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.31/33.21          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.31/33.21    (23)  op(e3, e0) = all_52_12
% 196.31/33.21    (24)   ~ (e3 = e1)
% 196.31/33.21    (25)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.31/33.21          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.31/33.21    (26)  op(e1, e1) = e3
% 196.31/33.21    (27)   ~ (e2 = e0)
% 196.31/33.21    (28)   ~ (e3 = e0)
% 196.31/33.21  
% 196.31/33.21  Begin of proof
% 196.31/33.21  | 
% 196.31/33.21  | BETA: splitting (3) gives:
% 196.31/33.21  | 
% 196.31/33.21  | Case 1:
% 196.31/33.21  | | 
% 196.31/33.21  | |   (29)  all_56_2 = e3 & op(e2, e3) = e3
% 196.31/33.21  | | 
% 196.31/33.21  | | ALPHA: (29) implies:
% 196.31/33.21  | |   (30)  all_56_2 = e3
% 196.31/33.21  | | 
% 196.31/33.21  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 196.31/33.21  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 196.31/33.21  | |            (25), (26), (27), (28), (30) are inconsistent by sub-proof #884.
% 196.31/33.21  | | 
% 196.31/33.21  | Case 2:
% 196.31/33.21  | | 
% 196.31/33.21  | |   (31)  all_56_3 = e3 & op(e2, e2) = e3
% 196.31/33.21  | | 
% 196.31/33.21  | | ALPHA: (31) implies:
% 196.31/33.21  | |   (32)  op(e2, e2) = e3
% 196.31/33.21  | | 
% 196.31/33.21  | | REF_CLOSE: (7), (8), (17), (32) are inconsistent by sub-proof #1975.
% 196.31/33.21  | | 
% 196.31/33.21  | End of split
% 196.31/33.21  | 
% 196.31/33.21  End of proof
% 196.31/33.21  
% 196.31/33.21  Sub-proof #884 shows that the following formulas are inconsistent:
% 196.31/33.21  ----------------------------------------------------------------
% 196.31/33.21    (1)   ~ (all_52_3 = e1)
% 196.31/33.21    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.31/33.21         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.31/33.21    (3)  op(e0, e0) = e1
% 196.31/33.21    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.31/33.21         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.31/33.21    (5)   ~ (e3 = e2)
% 196.31/33.21    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.21    (7)  op(e2, e2) = all_4_2
% 196.31/33.21    (8)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.31/33.21         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.31/33.22    (9)  op(e0, e3) = all_52_3
% 196.31/33.22    (10)  op(e2, e0) = all_52_13
% 196.31/33.22    (11)   ~ (all_52_13 = e1)
% 196.31/33.22    (12)  op(e3, e3) = e3
% 196.31/33.22    (13)   ~ (all_52_12 = e3)
% 196.31/33.22    (14)   ~ (all_4_2 = e1)
% 196.31/33.22    (15)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.31/33.22          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.31/33.22    (16)   ~ (all_4_2 = e3)
% 196.31/33.22    (17)  all_56_2 = e3
% 196.31/33.22    (18)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.31/33.22          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.31/33.22    (19)   ~ (e1 = e0)
% 196.31/33.22    (20)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.31/33.22          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.31/33.22    (21)   ~ (e2 = e1)
% 196.31/33.22    (22)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.31/33.22          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.31/33.22    (23)  op(e3, e0) = all_52_12
% 196.31/33.22    (24)   ~ (e3 = e1)
% 196.31/33.22    (25)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.31/33.22          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.31/33.22    (26)  op(e1, e1) = e3
% 196.31/33.22    (27)   ~ (e2 = e0)
% 196.31/33.22    (28)   ~ (e3 = e0)
% 196.31/33.22  
% 196.31/33.22  Begin of proof
% 196.31/33.22  | 
% 196.31/33.22  | BETA: splitting (20) gives:
% 196.31/33.22  | 
% 196.31/33.22  | Case 1:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (29)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 196.31/33.22  | |           e3)
% 196.31/33.22  | | 
% 196.31/33.22  | | BETA: splitting (29) gives:
% 196.31/33.22  | | 
% 196.31/33.22  | | Case 1:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (30)  all_56_9 = e3 & op(e3, e0) = e3
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (30) implies:
% 196.31/33.22  | | |   (31)  op(e3, e0) = e3
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (6), (13), (23), (31) are inconsistent by sub-proof #1964.
% 196.31/33.22  | | | 
% 196.31/33.22  | | Case 2:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (32)  all_56_10 = e3 & op(e2, e0) = e3
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (32) implies:
% 196.31/33.22  | | |   (33)  all_56_10 = e3
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (2), (5), (6), (7), (10), (11), (14), (15), (16), (17), (18),
% 196.31/33.22  | | |            (19), (21), (22), (24), (27), (28), (33) are inconsistent by
% 196.31/33.22  | | |            sub-proof #886.
% 196.31/33.22  | | | 
% 196.31/33.22  | | End of split
% 196.31/33.22  | | 
% 196.31/33.22  | Case 2:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (34)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 196.31/33.22  | |           e3)
% 196.31/33.22  | | 
% 196.31/33.22  | | BETA: splitting (34) gives:
% 196.31/33.22  | | 
% 196.31/33.22  | | Case 1:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (35)  all_56_11 = e3 & op(e1, e0) = e3
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (35) implies:
% 196.31/33.22  | | |   (36)  all_56_11 = e3
% 196.31/33.22  | | | 
% 196.31/33.22  | | | BETA: splitting (4) gives:
% 196.31/33.22  | | | 
% 196.31/33.22  | | | Case 1:
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | |   (37)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3)
% 196.31/33.22  | | | |           = e1)
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | | REF_CLOSE: (6), (12), (17), (24), (37) are inconsistent by sub-proof
% 196.31/33.22  | | | |            #1725.
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | Case 2:
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | |   (38)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3)
% 196.31/33.22  | | | |           = e1)
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | | BETA: splitting (38) gives:
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | | Case 1:
% 196.31/33.22  | | | | | 
% 196.31/33.22  | | | | |   (39)  all_56_6 = e1 & op(e1, e3) = e1
% 196.31/33.22  | | | | | 
% 196.31/33.22  | | | | | ALPHA: (39) implies:
% 196.31/33.22  | | | | |   (40)  all_56_6 = e1
% 196.31/33.22  | | | | | 
% 196.31/33.22  | | | | | BETA: splitting (8) gives:
% 196.31/33.22  | | | | | 
% 196.31/33.22  | | | | | Case 1:
% 196.31/33.22  | | | | | | 
% 196.31/33.22  | | | | | |   (41)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1,
% 196.31/33.22  | | | | | |             e2) = e0)
% 196.31/33.22  | | | | | | 
% 196.31/33.22  | | | | | | BETA: splitting (41) gives:
% 196.31/33.22  | | | | | | 
% 196.31/33.22  | | | | | | Case 1:
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | |   (42)  all_56_6 = e0 & op(e1, e3) = e0
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | | REF_CLOSE: (19), (40), (42) are inconsistent by sub-proof #1776.
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | Case 2:
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | |   (43)  all_56_7 = e0 & op(e1, e2) = e0
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | | ALPHA: (43) implies:
% 196.31/33.22  | | | | | | |   (44)  all_56_7 = e0
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | | BETA: splitting (25) gives:
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | | Case 1:
% 196.31/33.22  | | | | | | | | 
% 196.31/33.22  | | | | | | | |   (45)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 &
% 196.31/33.22  | | | | | | | |           op(e1, e2) = e2)
% 196.31/33.22  | | | | | | | | 
% 196.31/33.22  | | | | | | | | BETA: splitting (45) gives:
% 196.31/33.22  | | | | | | | | 
% 196.31/33.22  | | | | | | | | Case 1:
% 196.31/33.22  | | | | | | | | | 
% 196.31/33.22  | | | | | | | | |   (46)  all_56_6 = e2 & op(e1, e3) = e2
% 196.31/33.22  | | | | | | | | | 
% 196.31/33.22  | | | | | | | | | ALPHA: (46) implies:
% 196.31/33.22  | | | | | | | | |   (47)  all_56_6 = e2
% 196.31/33.22  | | | | | | | | | 
% 196.31/33.22  | | | | | | | | | BETA: splitting (4) gives:
% 196.31/33.22  | | | | | | | | | 
% 196.31/33.22  | | | | | | | | | Case 1:
% 196.31/33.22  | | | | | | | | | | 
% 196.31/33.22  | | | | | | | | | |   (48)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 &
% 196.31/33.22  | | | | | | | | | |           op(e2, e3) = e1)
% 196.31/33.22  | | | | | | | | | | 
% 196.31/33.22  | | | | | | | | | | REF_CLOSE: (6), (12), (17), (24), (48) are inconsistent by
% 196.31/33.22  | | | | | | | | | |            sub-proof #1725.
% 196.31/33.22  | | | | | | | | | | 
% 196.31/33.22  | | | | | | | | | Case 2:
% 196.31/33.22  | | | | | | | | | | 
% 196.31/33.22  | | | | | | | | | | 
% 196.31/33.22  | | | | | | | | | | REF_CLOSE: (1), (6), (9), (21), (38), (47) are inconsistent
% 196.31/33.22  | | | | | | | | | |            by sub-proof #904.
% 196.31/33.22  | | | | | | | | | | 
% 196.31/33.22  | | | | | | | | | End of split
% 196.31/33.22  | | | | | | | | | 
% 196.31/33.22  | | | | | | | | Case 2:
% 196.31/33.22  | | | | | | | | | 
% 196.31/33.22  | | | | | | | | |   (49)  all_56_7 = e2 & op(e1, e2) = e2
% 196.31/33.22  | | | | | | | | | 
% 196.31/33.22  | | | | | | | | | REF_CLOSE: (27), (44), (49) are inconsistent by sub-proof
% 196.31/33.22  | | | | | | | | |            #1262.
% 196.31/33.22  | | | | | | | | | 
% 196.31/33.22  | | | | | | | | End of split
% 196.31/33.22  | | | | | | | | 
% 196.31/33.22  | | | | | | | Case 2:
% 196.31/33.22  | | | | | | | | 
% 196.31/33.22  | | | | | | | |   (50)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 196.31/33.22  | | | | | | | |           op(e1, e0) = e2)
% 196.31/33.22  | | | | | | | | 
% 196.31/33.22  | | | | | | | | REF_CLOSE: (5), (6), (26), (36), (50) are inconsistent by
% 196.31/33.22  | | | | | | | |            sub-proof #885.
% 196.31/33.22  | | | | | | | | 
% 196.31/33.22  | | | | | | | End of split
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | End of split
% 196.31/33.22  | | | | | | 
% 196.31/33.22  | | | | | Case 2:
% 196.31/33.22  | | | | | | 
% 196.31/33.22  | | | | | |   (51)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1,
% 196.31/33.22  | | | | | |             e0) = e0)
% 196.31/33.22  | | | | | | 
% 196.31/33.22  | | | | | | BETA: splitting (51) gives:
% 196.31/33.22  | | | | | | 
% 196.31/33.22  | | | | | | Case 1:
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | |   (52)  all_56_8 = e0 & op(e1, e1) = e0
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | | ALPHA: (52) implies:
% 196.31/33.22  | | | | | | |   (53)  op(e1, e1) = e0
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | | REF_CLOSE: (6), (26), (28), (53) are inconsistent by sub-proof
% 196.31/33.22  | | | | | | |            #1824.
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | Case 2:
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | |   (54)  all_56_11 = e0 & op(e1, e0) = e0
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | | REF_CLOSE: (28), (36), (54) are inconsistent by sub-proof #1684.
% 196.31/33.22  | | | | | | | 
% 196.31/33.22  | | | | | | End of split
% 196.31/33.22  | | | | | | 
% 196.31/33.22  | | | | | End of split
% 196.31/33.22  | | | | | 
% 196.31/33.22  | | | | Case 2:
% 196.31/33.22  | | | | | 
% 196.31/33.22  | | | | |   (55)  all_56_12 = e1 & op(e0, e3) = e1
% 196.31/33.22  | | | | | 
% 196.31/33.22  | | | | | ALPHA: (55) implies:
% 196.31/33.22  | | | | |   (56)  op(e0, e3) = e1
% 196.31/33.22  | | | | | 
% 196.31/33.22  | | | | | REF_CLOSE: (1), (6), (9), (56) are inconsistent by sub-proof #1950.
% 196.31/33.22  | | | | | 
% 196.31/33.22  | | | | End of split
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | End of split
% 196.31/33.22  | | | 
% 196.31/33.22  | | Case 2:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (57)  all_56_15 = e3 & op(e0, e0) = e3
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (57) implies:
% 196.31/33.22  | | |   (58)  op(e0, e0) = e3
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (3), (6), (24), (58) are inconsistent by sub-proof #1392.
% 196.31/33.22  | | | 
% 196.31/33.22  | | End of split
% 196.31/33.22  | | 
% 196.31/33.22  | End of split
% 196.31/33.22  | 
% 196.31/33.22  End of proof
% 196.31/33.22  
% 196.31/33.22  Sub-proof #885 shows that the following formulas are inconsistent:
% 196.31/33.22  ----------------------------------------------------------------
% 196.31/33.22    (1)   ~ (e3 = e2)
% 196.31/33.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.22    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.31/33.22    (4)  all_56_11 = e3
% 196.31/33.22    (5)  op(e1, e1) = e3
% 196.31/33.22  
% 196.31/33.22  Begin of proof
% 196.31/33.22  | 
% 196.31/33.22  | BETA: splitting (3) gives:
% 196.31/33.22  | 
% 196.31/33.22  | Case 1:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (6)  all_56_8 = e2 & op(e1, e1) = e2
% 196.31/33.22  | | 
% 196.31/33.22  | | ALPHA: (6) implies:
% 196.31/33.22  | |   (7)  op(e1, e1) = e2
% 196.31/33.22  | | 
% 196.31/33.22  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1777.
% 196.31/33.22  | | 
% 196.31/33.22  | Case 2:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (8)  all_56_11 = e2 & op(e1, e0) = e2
% 196.31/33.22  | | 
% 196.31/33.22  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #908.
% 196.31/33.22  | | 
% 196.31/33.22  | End of split
% 196.31/33.22  | 
% 196.31/33.22  End of proof
% 196.31/33.22  
% 196.31/33.22  Sub-proof #886 shows that the following formulas are inconsistent:
% 196.31/33.22  ----------------------------------------------------------------
% 196.31/33.22    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.31/33.22         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.31/33.22    (2)   ~ (e3 = e2)
% 196.31/33.22    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.22    (4)  op(e2, e2) = all_4_2
% 196.31/33.22    (5)  op(e2, e0) = all_52_13
% 196.31/33.22    (6)   ~ (all_52_13 = e1)
% 196.31/33.22    (7)  all_56_10 = e3
% 196.31/33.22    (8)   ~ (all_4_2 = e1)
% 196.31/33.22    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.31/33.22         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.31/33.22    (10)   ~ (all_4_2 = e3)
% 196.31/33.22    (11)  all_56_2 = e3
% 196.31/33.22    (12)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.31/33.22          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.31/33.22    (13)   ~ (e1 = e0)
% 196.31/33.22    (14)   ~ (e2 = e1)
% 196.31/33.22    (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.31/33.22          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.31/33.22    (16)   ~ (e3 = e1)
% 196.31/33.22    (17)   ~ (e2 = e0)
% 196.31/33.22    (18)   ~ (e3 = e0)
% 196.31/33.22  
% 196.31/33.22  Begin of proof
% 196.31/33.22  | 
% 196.31/33.22  | BETA: splitting (12) gives:
% 196.31/33.22  | 
% 196.31/33.22  | Case 1:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (19)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 196.31/33.22  | |           e1)
% 196.31/33.22  | | 
% 196.31/33.22  | | BETA: splitting (19) gives:
% 196.31/33.22  | | 
% 196.31/33.22  | | Case 1:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (20)  all_56_2 = e1 & op(e2, e3) = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (11), (16), (20) are inconsistent by sub-proof #1726.
% 196.31/33.22  | | | 
% 196.31/33.22  | | Case 2:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (21)  all_56_3 = e1 & op(e2, e2) = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (21) implies:
% 196.31/33.22  | | |   (22)  op(e2, e2) = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (3), (4), (8), (22) are inconsistent by sub-proof #1969.
% 196.31/33.22  | | | 
% 196.31/33.22  | | End of split
% 196.31/33.22  | | 
% 196.31/33.22  | Case 2:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (23)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 196.31/33.22  | |           e1)
% 196.31/33.22  | | 
% 196.31/33.22  | | BETA: splitting (23) gives:
% 196.31/33.22  | | 
% 196.31/33.22  | | Case 1:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (24)  all_56_5 = e1 & op(e2, e1) = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (24) implies:
% 196.31/33.22  | | |   (25)  all_56_5 = e1
% 196.31/33.22  | | |   (26)  op(e2, e1) = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (1), (2), (3), (4), (7), (9), (10), (11), (13), (14), (15),
% 196.31/33.22  | | |            (16), (17), (18), (25), (26) are inconsistent by sub-proof
% 196.31/33.22  | | |            #1397.
% 196.31/33.22  | | | 
% 196.31/33.22  | | Case 2:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (27)  all_56_10 = e1 & op(e2, e0) = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (27) implies:
% 196.31/33.22  | | |   (28)  op(e2, e0) = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (3), (5), (6), (28) are inconsistent by sub-proof #1650.
% 196.31/33.22  | | | 
% 196.31/33.22  | | End of split
% 196.31/33.22  | | 
% 196.31/33.22  | End of split
% 196.31/33.22  | 
% 196.31/33.22  End of proof
% 196.31/33.22  
% 196.31/33.22  Sub-proof #887 shows that the following formulas are inconsistent:
% 196.31/33.22  ----------------------------------------------------------------
% 196.31/33.22    (1)  op(e0, e0) = e1
% 196.31/33.22    (2)   ~ (e3 = e2)
% 196.31/33.22    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.22    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.31/33.22         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.31/33.22    (5)  all_56_12 = e3
% 196.31/33.22    (6)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 196.31/33.22         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.31/33.22    (7)  op(e1, e0) = all_52_14
% 196.31/33.22    (8)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.31/33.22         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.31/33.22    (9)   ~ (all_52_14 = e1)
% 196.31/33.22    (10)   ~ (e1 = e0)
% 196.31/33.22    (11)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.31/33.22              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.31/33.22                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.31/33.22                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.31/33.22    (12)   ~ (e2 = e1)
% 196.31/33.22    (13)   ~ (e3 = e1)
% 196.31/33.22    (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.31/33.22          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.31/33.22    (15)  op(e1, e1) = e3
% 196.31/33.22    (16)   ~ (e2 = e0)
% 196.31/33.22    (17)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.31/33.22    (18)   ~ (e3 = e0)
% 196.31/33.22  
% 196.31/33.22  Begin of proof
% 196.31/33.22  | 
% 196.31/33.22  | BETA: splitting (17) gives:
% 196.31/33.22  | 
% 196.31/33.22  | Case 1:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (19)  all_56_7 = e3 & op(e1, e2) = e3
% 196.31/33.22  | | 
% 196.31/33.22  | | ALPHA: (19) implies:
% 196.31/33.22  | |   (20)  all_56_7 = e3
% 196.31/33.22  | | 
% 196.31/33.22  | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (10), (12), (13), (14), (15), (16),
% 196.31/33.22  | |            (18), (20) are inconsistent by sub-proof #1769.
% 196.31/33.22  | | 
% 196.31/33.22  | Case 2:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (21)  all_56_13 = e3 & op(e0, e2) = e3
% 196.31/33.22  | | 
% 196.31/33.22  | | ALPHA: (21) implies:
% 196.31/33.22  | |   (22)  all_56_13 = e3
% 196.31/33.22  | | 
% 196.31/33.22  | | REF_CLOSE: (1), (2), (3), (5), (6), (10), (11), (12), (16), (18), (22) are
% 196.31/33.22  | |            inconsistent by sub-proof #888.
% 196.31/33.22  | | 
% 196.31/33.22  | End of split
% 196.31/33.22  | 
% 196.31/33.22  End of proof
% 196.31/33.22  
% 196.31/33.22  Sub-proof #888 shows that the following formulas are inconsistent:
% 196.31/33.22  ----------------------------------------------------------------
% 196.31/33.22    (1)  op(e0, e0) = e1
% 196.31/33.22    (2)   ~ (e3 = e2)
% 196.31/33.22    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.22    (4)  all_56_13 = e3
% 196.31/33.22    (5)  all_56_12 = e3
% 196.31/33.22    (6)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 196.31/33.22         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.31/33.22    (7)   ~ (e1 = e0)
% 196.31/33.22    (8)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.31/33.22             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.31/33.22               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.31/33.22               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.31/33.22    (9)   ~ (e2 = e1)
% 196.31/33.22    (10)   ~ (e2 = e0)
% 196.31/33.22    (11)   ~ (e3 = e0)
% 196.31/33.22  
% 196.31/33.22  Begin of proof
% 196.31/33.22  | 
% 196.31/33.22  | BETA: splitting (6) gives:
% 196.31/33.22  | 
% 196.31/33.22  | Case 1:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (12)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 196.31/33.22  | |           e2)
% 196.31/33.22  | | 
% 196.31/33.22  | | BETA: splitting (12) gives:
% 196.31/33.22  | | 
% 196.31/33.22  | | Case 1:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (13)  all_56_12 = e2 & op(e0, e3) = e2
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (2), (5), (13) are inconsistent by sub-proof #1848.
% 196.31/33.22  | | | 
% 196.31/33.22  | | Case 2:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (14)  all_56_13 = e2 & op(e0, e2) = e2
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (2), (4), (14) are inconsistent by sub-proof #1905.
% 196.31/33.22  | | | 
% 196.31/33.22  | | End of split
% 196.31/33.22  | | 
% 196.31/33.22  | Case 2:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (15)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.31/33.22  | |           e2)
% 196.31/33.22  | | 
% 196.31/33.22  | | BETA: splitting (15) gives:
% 196.31/33.22  | | 
% 196.31/33.22  | | Case 1:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (16)  all_56_14 = e2 & op(e0, e1) = e2
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (16) implies:
% 196.31/33.22  | | |   (17)  all_56_14 = e2
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (10), (11), (17) are inconsistent
% 196.31/33.22  | | |            by sub-proof #889.
% 196.31/33.22  | | | 
% 196.31/33.22  | | Case 2:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (18)  all_56_15 = e2 & op(e0, e0) = e2
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (18) implies:
% 196.31/33.22  | | |   (19)  op(e0, e0) = e2
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (1), (3), (9), (19) are inconsistent by sub-proof #1780.
% 196.31/33.22  | | | 
% 196.31/33.22  | | End of split
% 196.31/33.22  | | 
% 196.31/33.22  | End of split
% 196.31/33.22  | 
% 196.31/33.22  End of proof
% 196.31/33.22  
% 196.31/33.22  Sub-proof #889 shows that the following formulas are inconsistent:
% 196.31/33.22  ----------------------------------------------------------------
% 196.31/33.22    (1)  op(e0, e0) = e1
% 196.31/33.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.22    (3)  all_56_13 = e3
% 196.31/33.22    (4)  all_56_12 = e3
% 196.31/33.22    (5)  all_56_14 = e2
% 196.31/33.22    (6)   ~ (e1 = e0)
% 196.31/33.22    (7)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.31/33.22             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.31/33.22               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.31/33.22               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.31/33.22    (8)   ~ (e2 = e0)
% 196.31/33.22    (9)   ~ (e3 = e0)
% 196.31/33.22  
% 196.31/33.22  Begin of proof
% 196.31/33.22  | 
% 196.31/33.22  | BETA: splitting (7) gives:
% 196.31/33.22  | 
% 196.31/33.22  | Case 1:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (10)  all_56_15 = e0 & op(e0, e0) = e0
% 196.31/33.22  | | 
% 196.31/33.22  | | ALPHA: (10) implies:
% 196.31/33.22  | |   (11)  op(e0, e0) = e0
% 196.31/33.22  | | 
% 196.31/33.22  | | REF_CLOSE: (1), (2), (6), (11) are inconsistent by sub-proof #1943.
% 196.31/33.22  | | 
% 196.31/33.22  | Case 2:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (12)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.31/33.22  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 196.31/33.22  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.31/33.22  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.31/33.22  | | 
% 196.31/33.22  | | ALPHA: (12) implies:
% 196.31/33.22  | |   (13)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.31/33.22  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.31/33.22  | | 
% 196.31/33.22  | | BETA: splitting (13) gives:
% 196.31/33.22  | | 
% 196.31/33.22  | | Case 1:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (14)  all_56_12 = e0 & op(e0, e3) = e0
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (4), (9), (14) are inconsistent by sub-proof #1846.
% 196.31/33.22  | | | 
% 196.31/33.22  | | Case 2:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (15)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 196.31/33.22  | | |           = e0)
% 196.31/33.22  | | | 
% 196.31/33.22  | | | BETA: splitting (15) gives:
% 196.31/33.22  | | | 
% 196.31/33.22  | | | Case 1:
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | |   (16)  all_56_13 = e0 & op(e0, e2) = e0
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | | REF_CLOSE: (3), (9), (16) are inconsistent by sub-proof #1696.
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | Case 2:
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | |   (17)  all_56_14 = e0 & op(e0, e1) = e0
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | | REF_CLOSE: (5), (8), (17) are inconsistent by sub-proof #1498.
% 196.31/33.22  | | | | 
% 196.31/33.22  | | | End of split
% 196.31/33.22  | | | 
% 196.31/33.22  | | End of split
% 196.31/33.22  | | 
% 196.31/33.22  | End of split
% 196.31/33.22  | 
% 196.31/33.22  End of proof
% 196.31/33.22  
% 196.31/33.22  Sub-proof #890 shows that the following formulas are inconsistent:
% 196.31/33.22  ----------------------------------------------------------------
% 196.31/33.22    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.31/33.22         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.31/33.22    (2)   ~ (e3 = e2)
% 196.31/33.22    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.22    (4)  op(e2, e2) = all_4_2
% 196.31/33.22    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 196.31/33.22    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.31/33.22         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.31/33.22    (7)  op(e3, e3) = e3
% 196.31/33.22    (8)   ~ (all_4_2 = e3)
% 196.31/33.22    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.31/33.22         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.31/33.22    (10)   ~ (e1 = e0)
% 196.31/33.22    (11)   ~ (e2 = e1)
% 196.31/33.22    (12)   ~ (all_52_12 = e1)
% 196.31/33.22    (13)  op(e3, e0) = all_52_12
% 196.31/33.22    (14)   ~ (e3 = e1)
% 196.31/33.22    (15)   ~ (e2 = e0)
% 196.31/33.22    (16)   ~ (e3 = e0)
% 196.31/33.22  
% 196.31/33.22  Begin of proof
% 196.31/33.22  | 
% 196.31/33.22  | BETA: splitting (5) gives:
% 196.31/33.22  | 
% 196.31/33.22  | Case 1:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (17)  all_56_1 = e3 & op(e3, e2) = e3
% 196.31/33.22  | | 
% 196.31/33.22  | | ALPHA: (17) implies:
% 196.31/33.22  | |   (18)  all_56_1 = e3
% 196.31/33.22  | | 
% 196.31/33.22  | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 196.31/33.22  | |            (16), (18) are inconsistent by sub-proof #891.
% 196.31/33.22  | | 
% 196.31/33.22  | Case 2:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (19)  all_56_3 = e3 & op(e2, e2) = e3
% 196.31/33.22  | | 
% 196.31/33.22  | | ALPHA: (19) implies:
% 196.31/33.22  | |   (20)  op(e2, e2) = e3
% 196.31/33.22  | | 
% 196.31/33.22  | | REF_CLOSE: (3), (4), (8), (20) are inconsistent by sub-proof #1975.
% 196.31/33.22  | | 
% 196.31/33.22  | End of split
% 196.31/33.22  | 
% 196.31/33.22  End of proof
% 196.31/33.22  
% 196.31/33.22  Sub-proof #891 shows that the following formulas are inconsistent:
% 196.31/33.22  ----------------------------------------------------------------
% 196.31/33.22    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.31/33.22         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.31/33.22    (2)   ~ (e3 = e2)
% 196.31/33.22    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.22    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.31/33.22         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.31/33.22    (5)  op(e3, e3) = e3
% 196.31/33.22    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.31/33.22         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.31/33.22    (7)   ~ (e1 = e0)
% 196.31/33.22    (8)   ~ (e2 = e1)
% 196.31/33.22    (9)   ~ (all_52_12 = e1)
% 196.31/33.22    (10)  op(e3, e0) = all_52_12
% 196.31/33.22    (11)  all_56_1 = e3
% 196.31/33.22    (12)   ~ (e3 = e1)
% 196.31/33.22    (13)   ~ (e2 = e0)
% 196.31/33.22    (14)   ~ (e3 = e0)
% 196.31/33.22  
% 196.31/33.22  Begin of proof
% 196.31/33.22  | 
% 196.31/33.22  | BETA: splitting (1) gives:
% 196.31/33.22  | 
% 196.31/33.22  | Case 1:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 196.31/33.22  | |           e1)
% 196.31/33.22  | | 
% 196.31/33.22  | | REF_CLOSE: (3), (5), (11), (12), (15) are inconsistent by sub-proof #1881.
% 196.31/33.22  | | 
% 196.31/33.22  | Case 2:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 196.31/33.22  | |           e1)
% 196.31/33.22  | | 
% 196.31/33.22  | | BETA: splitting (16) gives:
% 196.31/33.22  | | 
% 196.31/33.22  | | Case 1:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (17)  all_56_4 = e1 & op(e3, e1) = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (17) implies:
% 196.31/33.22  | | |   (18)  all_56_4 = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.31/33.22  | | |            (13), (14), (18) are inconsistent by sub-proof #892.
% 196.31/33.22  | | | 
% 196.31/33.22  | | Case 2:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (19)  all_56_9 = e1 & op(e3, e0) = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (19) implies:
% 196.31/33.22  | | |   (20)  op(e3, e0) = e1
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (3), (9), (10), (20) are inconsistent by sub-proof #1949.
% 196.31/33.22  | | | 
% 196.31/33.22  | | End of split
% 196.31/33.22  | | 
% 196.31/33.22  | End of split
% 196.31/33.22  | 
% 196.31/33.22  End of proof
% 196.31/33.22  
% 196.31/33.22  Sub-proof #892 shows that the following formulas are inconsistent:
% 196.31/33.22  ----------------------------------------------------------------
% 196.31/33.22    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.31/33.22         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.31/33.22    (2)   ~ (e3 = e2)
% 196.31/33.22    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.31/33.22    (4)  all_56_4 = e1
% 196.31/33.22    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.31/33.22         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.31/33.22    (6)  op(e3, e3) = e3
% 196.31/33.22    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.31/33.22         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.31/33.22    (8)   ~ (e1 = e0)
% 196.31/33.22    (9)   ~ (e2 = e1)
% 196.31/33.22    (10)   ~ (all_52_12 = e1)
% 196.31/33.22    (11)  op(e3, e0) = all_52_12
% 196.31/33.22    (12)  all_56_1 = e3
% 196.31/33.22    (13)   ~ (e3 = e1)
% 196.31/33.22    (14)   ~ (e2 = e0)
% 196.31/33.22    (15)   ~ (e3 = e0)
% 196.31/33.22  
% 196.31/33.22  Begin of proof
% 196.31/33.22  | 
% 196.31/33.22  | BETA: splitting (7) gives:
% 196.31/33.22  | 
% 196.31/33.22  | Case 1:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 196.31/33.22  | |           e0)
% 196.31/33.22  | | 
% 196.31/33.22  | | REF_CLOSE: (3), (6), (12), (15), (16) are inconsistent by sub-proof #1877.
% 196.31/33.22  | | 
% 196.31/33.22  | Case 2:
% 196.31/33.22  | | 
% 196.31/33.22  | |   (17)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 196.31/33.22  | |           e0)
% 196.31/33.22  | | 
% 196.31/33.22  | | BETA: splitting (17) gives:
% 196.31/33.22  | | 
% 196.31/33.22  | | Case 1:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (18)  all_56_4 = e0 & op(e3, e1) = e0
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (4), (8), (18) are inconsistent by sub-proof #1500.
% 196.31/33.22  | | | 
% 196.31/33.22  | | Case 2:
% 196.31/33.22  | | | 
% 196.31/33.22  | | |   (19)  all_56_9 = e0 & op(e3, e0) = e0
% 196.31/33.22  | | | 
% 196.31/33.22  | | | ALPHA: (19) implies:
% 196.31/33.22  | | |   (20)  all_56_9 = e0
% 196.31/33.22  | | | 
% 196.31/33.22  | | | REF_CLOSE: (1), (2), (3), (5), (6), (9), (10), (11), (12), (13), (14),
% 196.31/33.22  | | |            (20) are inconsistent by sub-proof #1192.
% 196.31/33.22  | | | 
% 196.31/33.22  | | End of split
% 196.31/33.22  | | 
% 196.31/33.22  | End of split
% 196.31/33.22  | 
% 196.31/33.22  End of proof
% 196.31/33.22  
% 196.31/33.23  Sub-proof #893 shows that the following formulas are inconsistent:
% 196.31/33.23  ----------------------------------------------------------------
% 196.31/33.23    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.31/33.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.23    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.33/33.23             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.33/33.23           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 196.33/33.23           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.33/33.23           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 196.33/33.23           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 196.33/33.23    (3)  op(e3, e3) = e3
% 196.33/33.23    (4)  op(e3, e1) = e1
% 196.33/33.23    (5)   ~ (e3 = e1)
% 196.33/33.23  
% 196.33/33.23  Begin of proof
% 196.33/33.23  | 
% 196.33/33.23  | BETA: splitting (2) gives:
% 196.33/33.23  | 
% 196.33/33.23  | Case 1:
% 196.33/33.23  | | 
% 196.33/33.23  | |   (6)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.33/33.23  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.33/33.23  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 196.33/33.23  | | 
% 196.33/33.23  | | ALPHA: (6) implies:
% 196.33/33.23  | |   (7)  op(e3, e1) = e3
% 196.33/33.23  | | 
% 196.33/33.23  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1624.
% 196.33/33.23  | | 
% 196.33/33.23  | Case 2:
% 196.33/33.23  | | 
% 196.33/33.23  | |   (8)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.33/33.23  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.33/33.23  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 196.33/33.23  | | 
% 196.33/33.23  | | ALPHA: (8) implies:
% 196.33/33.23  | |   (9)  op(e3, e3) = e1
% 196.33/33.23  | | 
% 196.33/33.23  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #1966.
% 196.33/33.23  | | 
% 196.33/33.23  | End of split
% 196.33/33.23  | 
% 196.33/33.23  End of proof
% 196.33/33.23  
% 196.33/33.23  Sub-proof #894 shows that the following formulas are inconsistent:
% 196.33/33.23  ----------------------------------------------------------------
% 196.33/33.23    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.33/33.23             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.33/33.23           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.33/33.23           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.33/33.23           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.33/33.23           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.33/33.23    (2)  op(e0, e0) = e1
% 196.33/33.23    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.23    (4)  op(e1, e3) = e1
% 196.33/33.23    (5)   ~ (e3 = e1)
% 196.33/33.23  
% 196.33/33.23  Begin of proof
% 196.33/33.23  | 
% 196.33/33.23  | BETA: splitting (1) gives:
% 196.33/33.23  | 
% 196.33/33.23  | Case 1:
% 196.33/33.23  | | 
% 196.33/33.23  | |   (6)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.33/33.23  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.33/33.23  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 196.33/33.23  | | 
% 196.33/33.23  | | ALPHA: (6) implies:
% 196.33/33.23  | |   (7)   ~ (all_57_1 = e1)
% 196.33/33.23  | |   (8)  op(e1, e3) = all_57_1
% 196.33/33.23  | | 
% 196.33/33.23  | | REF_CLOSE: (3), (4), (7), (8) are inconsistent by sub-proof #1326.
% 196.33/33.23  | | 
% 196.33/33.23  | Case 2:
% 196.33/33.23  | | 
% 196.33/33.23  | |   (9)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 196.33/33.23  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.33/33.23  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 196.33/33.23  | | 
% 196.33/33.23  | | ALPHA: (9) implies:
% 196.33/33.23  | |   (10)  op(e0, e0) = e3
% 196.33/33.23  | | 
% 196.33/33.23  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1392.
% 196.33/33.23  | | 
% 196.33/33.23  | End of split
% 196.33/33.23  | 
% 196.33/33.23  End of proof
% 196.33/33.23  
% 196.33/33.23  Sub-proof #895 shows that the following formulas are inconsistent:
% 196.33/33.23  ----------------------------------------------------------------
% 196.33/33.23    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.33/33.23           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.33/33.23           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.33/33.23                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.33/33.23               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.33/33.23               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.33/33.23           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.33/33.23           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.23               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.33/33.23           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.33/33.23               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.33/33.23           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.33/33.23           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.33/33.23               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.23               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.23               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.23         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.33/33.23           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.33/33.23           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.33/33.23               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.33/33.23             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.23         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.33/33.23           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.33/33.23           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.33/33.23                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.33/33.23               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.33/33.23               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.33/33.23           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.33/33.23           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.33/33.23             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.23           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.23               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.33/33.23           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.33/33.23           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.33/33.23               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.23               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.23               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.23         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.33/33.23           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.33/33.23           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.33/33.23               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.33/33.23             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.23         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.33/33.23           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.33/33.23           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.33/33.23                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.33/33.23               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.23               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.33/33.23           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.33/33.23             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.23               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.23           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.23               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.33/33.23           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.33/33.23           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.33/33.23               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.23               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.23               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.33/33.23         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.33/33.23           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.33/33.23           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.33/33.23               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.33/33.23             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.33/33.23         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.33/33.23             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.23           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.23               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.33/33.23             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.23         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.33/33.23             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.23           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.23               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.33/33.23             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.23         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.33/33.23             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.23           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.33/33.23               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.33/33.23             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.23         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.33/33.23             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.23           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.33/33.23               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.33/33.23             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.33/33.23    (2)   ~ (all_52_11 = e1)
% 196.33/33.23    (3)  op(e0, e0) = e1
% 196.33/33.23    (4)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.33/33.23         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.33/33.23    (5)   ~ (e3 = e2)
% 196.33/33.23    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.23    (7)  op(e2, e2) = all_4_2
% 196.33/33.23    (8)  all_56_7 = e1
% 196.33/33.23    (9)  op(e3, e3) = e1
% 196.33/33.23    (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.33/33.23          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.33/33.23    (11)  op(e0, e3) = all_52_3
% 196.33/33.23    (12)  op(e2, e0) = all_52_13
% 196.33/33.23    (13)  op(e1, e0) = all_52_14
% 196.33/33.23    (14)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.33/33.23          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.33/33.23    (15)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.33/33.23              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.33/33.23            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.33/33.23            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.33/33.23            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.33/33.23            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.33/33.23            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.33/33.23            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.33/33.23            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.33/33.23            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.33/33.23            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.33/33.23            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.33/33.23            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.33/33.23            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.33/33.23            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.33/33.23            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.33/33.23            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.33/33.23            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.33/33.23            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.33/33.23            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.33/33.23            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.33/33.23            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.33/33.23            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.33/33.23            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.33/33.23            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.23            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.33/33.23            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.33/33.23            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.23            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.23            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.33/33.23            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.33/33.23            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.33/33.23            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.33/33.23            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.33/33.23            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.23            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.33/33.23            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.33/33.23            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.33/33.23            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.33/33.23            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.33/33.23            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.33/33.23            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.33/33.23            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.33/33.23            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.33/33.23            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.33/33.23            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.33/33.23            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.33/33.23            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.33/33.23              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.33/33.23            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.33/33.23            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.33/33.23              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.33/33.23            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.33/33.23            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.33/33.23                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.33/33.23                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.33/33.23                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.33/33.23                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.33/33.23                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.33/33.23                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.33/33.23                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.33/33.23              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.33/33.23                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.33/33.23                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.33/33.23                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.33/33.23                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.33/33.23                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.33/33.23                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.33/33.23                $i(all_57_7))))
% 196.33/33.23    (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.33/33.23          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.33/33.23    (17)   ~ (all_52_12 = all_52_14)
% 196.33/33.23    (18)  op(e0, e1) = all_52_11
% 196.33/33.23    (19)   ~ (all_52_14 = e1)
% 196.33/33.23    (20)  op(e1, e1) = e0
% 196.33/33.23    (21)   ~ (all_4_2 = e3)
% 196.33/33.23    (22)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.33/33.23          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.33/33.23    (23)  all_56_5 = e1
% 196.33/33.23    (24)   ~ (e1 = e0)
% 196.33/33.23    (25)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.33/33.23          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.33/33.23    (26)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.33/33.23              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.33/33.23                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.33/33.23                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.33/33.23    (27)   ~ (e2 = e1)
% 196.33/33.23    (28)   ~ (all_52_11 = e0)
% 196.33/33.23    (29)   ~ (all_52_12 = e1)
% 196.33/33.23    (30)  op(e3, e0) = all_52_12
% 196.33/33.23    (31)  op(e2, e1) = all_52_9
% 196.33/33.23    (32)  op(e2, e2) = e0
% 196.33/33.23    (33)   ~ (all_52_9 = all_52_13)
% 196.33/33.23    (34)   ~ (e3 = e1)
% 196.33/33.23    (35)   ~ (e2 = e0)
% 196.33/33.23    (36)   ~ (e3 = e0)
% 196.33/33.23    (37)   ~ (all_52_3 = all_52_11)
% 196.33/33.23  
% 196.33/33.23  Begin of proof
% 196.33/33.23  | 
% 196.33/33.23  | BETA: splitting (22) gives:
% 196.33/33.23  | 
% 196.33/33.23  | Case 1:
% 196.33/33.23  | | 
% 196.33/33.23  | |   (38)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 196.33/33.23  | |           e0)
% 196.33/33.23  | | 
% 196.33/33.23  | | BETA: splitting (38) gives:
% 196.33/33.23  | | 
% 196.33/33.23  | | Case 1:
% 196.33/33.23  | | | 
% 196.33/33.23  | | |   (39)  all_56_0 = e0 & op(e3, e3) = e0
% 196.33/33.23  | | | 
% 196.33/33.23  | | | ALPHA: (39) implies:
% 196.33/33.23  | | |   (40)  op(e3, e3) = e0
% 196.33/33.23  | | | 
% 196.33/33.23  | | | REF_CLOSE: (6), (9), (24), (40) are inconsistent by sub-proof #1937.
% 196.33/33.23  | | | 
% 196.33/33.23  | | Case 2:
% 196.33/33.23  | | | 
% 196.33/33.23  | | |   (41)  all_56_1 = e0 & op(e3, e2) = e0
% 196.33/33.23  | | | 
% 196.33/33.23  | | | ALPHA: (41) implies:
% 196.33/33.23  | | |   (42)  all_56_1 = e0
% 196.33/33.23  | | | 
% 196.33/33.23  | | | REF_CLOSE: (4), (5), (6), (7), (8), (14), (21), (27), (32), (34), (35),
% 196.33/33.23  | | |            (36), (42) are inconsistent by sub-proof #1903.
% 196.33/33.23  | | | 
% 196.33/33.23  | | End of split
% 196.33/33.23  | | 
% 196.33/33.23  | Case 2:
% 196.33/33.23  | | 
% 196.33/33.23  | |   (43)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 196.33/33.23  | |           e0)
% 196.33/33.23  | | 
% 196.33/33.23  | | BETA: splitting (43) gives:
% 196.33/33.23  | | 
% 196.33/33.23  | | Case 1:
% 196.33/33.23  | | | 
% 196.33/33.23  | | |   (44)  all_56_4 = e0 & op(e3, e1) = e0
% 196.33/33.23  | | | 
% 196.33/33.23  | | | ALPHA: (44) implies:
% 196.33/33.23  | | |   (45)  all_56_4 = e0
% 196.33/33.23  | | | 
% 196.33/33.23  | | | REF_CLOSE: (5), (6), (10), (20), (23), (25), (27), (34), (35), (36), (45)
% 196.33/33.23  | | |            are inconsistent by sub-proof #1817.
% 196.33/33.23  | | | 
% 196.33/33.23  | | Case 2:
% 196.33/33.23  | | | 
% 196.33/33.23  | | |   (46)  all_56_9 = e0 & op(e3, e0) = e0
% 196.33/33.23  | | | 
% 196.33/33.23  | | | ALPHA: (46) implies:
% 196.33/33.23  | | |   (47)  all_56_9 = e0
% 196.33/33.23  | | |   (48)  op(e3, e0) = e0
% 196.33/33.23  | | | 
% 196.33/33.23  | | | BETA: splitting (26) gives:
% 196.33/33.23  | | | 
% 196.33/33.23  | | | Case 1:
% 196.33/33.23  | | | | 
% 196.33/33.23  | | | |   (49)  all_56_15 = e0 & op(e0, e0) = e0
% 196.33/33.23  | | | | 
% 196.33/33.23  | | | | ALPHA: (49) implies:
% 196.33/33.23  | | | |   (50)  op(e0, e0) = e0
% 196.33/33.23  | | | | 
% 196.33/33.23  | | | | REF_CLOSE: (3), (6), (24), (50) are inconsistent by sub-proof #1943.
% 196.33/33.23  | | | | 
% 196.33/33.23  | | | Case 2:
% 196.33/33.23  | | | | 
% 196.33/33.23  | | | |   (51)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 196.33/33.23  | | | |               e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 196.33/33.23  | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 196.33/33.23  | | | |               e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.33/33.23  | | | | 
% 196.33/33.23  | | | | ALPHA: (51) implies:
% 196.33/33.23  | | | |   (52)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 196.33/33.23  | | | |             e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.33/33.23  | | | | 
% 196.33/33.23  | | | | BETA: splitting (52) gives:
% 196.33/33.23  | | | | 
% 196.33/33.23  | | | | Case 1:
% 196.33/33.23  | | | | | 
% 196.33/33.23  | | | | |   (53)  all_56_12 = e0 & op(e0, e3) = e0
% 196.33/33.23  | | | | | 
% 196.33/33.23  | | | | | ALPHA: (53) implies:
% 196.33/33.23  | | | | |   (54)  op(e0, e3) = e0
% 196.33/33.23  | | | | | 
% 196.33/33.23  | | | | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (11), (12), (13), (15), (17),
% 196.33/33.23  | | | | |            (18), (19), (20), (21), (27), (29), (30), (31), (32), (33),
% 196.33/33.23  | | | | |            (34), (35), (36), (37), (48), (54) are inconsistent by
% 196.33/33.23  | | | | |            sub-proof #896.
% 196.33/33.23  | | | | | 
% 196.33/33.23  | | | | Case 2:
% 196.33/33.23  | | | | | 
% 196.33/33.23  | | | | |   (55)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.33/33.23  | | | | |             e1) = e0)
% 196.33/33.23  | | | | | 
% 196.33/33.23  | | | | | BETA: splitting (55) gives:
% 196.33/33.23  | | | | | 
% 196.33/33.23  | | | | | Case 1:
% 196.33/33.23  | | | | | | 
% 196.33/33.23  | | | | | |   (56)  all_56_13 = e0 & op(e0, e2) = e0
% 196.33/33.23  | | | | | | 
% 196.33/33.23  | | | | | | ALPHA: (56) implies:
% 196.33/33.23  | | | | | |   (57)  all_56_13 = e0
% 196.33/33.23  | | | | | | 
% 196.33/33.23  | | | | | | BETA: splitting (14) gives:
% 196.33/33.23  | | | | | | 
% 196.33/33.23  | | | | | | Case 1:
% 196.33/33.23  | | | | | | | 
% 196.33/33.23  | | | | | | |   (58)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 &
% 196.33/33.23  | | | | | | |           op(e2, e2) = e3)
% 196.33/33.23  | | | | | | | 
% 196.33/33.23  | | | | | | | BETA: splitting (58) gives:
% 196.33/33.23  | | | | | | | 
% 196.33/33.23  | | | | | | | Case 1:
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | |   (59)  all_56_1 = e3 & op(e3, e2) = e3
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | | ALPHA: (59) implies:
% 196.33/33.23  | | | | | | | |   (60)  all_56_1 = e3
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | | BETA: splitting (16) gives:
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | | Case 1:
% 196.33/33.23  | | | | | | | | | 
% 196.33/33.23  | | | | | | | | |   (61)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 &
% 196.33/33.23  | | | | | | | | |           op(e3, e2) = e2)
% 196.33/33.23  | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | BETA: splitting (61) gives:
% 196.33/33.23  | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | Case 1:
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | |   (62)  all_56_0 = e2 & op(e3, e3) = e2
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | ALPHA: (62) implies:
% 196.33/33.23  | | | | | | | | | |   (63)  op(e3, e3) = e2
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | REF_CLOSE: (6), (9), (27), (63) are inconsistent by sub-proof
% 196.33/33.23  | | | | | | | | | |            #1934.
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | Case 2:
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | |   (64)  all_56_1 = e2 & op(e3, e2) = e2
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | REF_CLOSE: (5), (60), (64) are inconsistent by sub-proof
% 196.33/33.23  | | | | | | | | | |            #1301.
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | End of split
% 196.33/33.23  | | | | | | | | | 
% 196.33/33.23  | | | | | | | | Case 2:
% 196.33/33.23  | | | | | | | | | 
% 196.33/33.23  | | | | | | | | |   (65)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 &
% 196.33/33.23  | | | | | | | | |           op(e3, e0) = e2)
% 196.33/33.23  | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | BETA: splitting (65) gives:
% 196.33/33.23  | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | Case 1:
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | |   (66)  all_56_4 = e2 & op(e3, e1) = e2
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | ALPHA: (66) implies:
% 196.33/33.23  | | | | | | | | | |   (67)  all_56_4 = e2
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | BETA: splitting (4) gives:
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | Case 1:
% 196.33/33.23  | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | |   (68)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.33/33.23  | | | | | | | | | | |           & op(e2, e2) = e2)
% 196.33/33.23  | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | REF_CLOSE: (5), (6), (32), (35), (60), (68) are inconsistent
% 196.33/33.23  | | | | | | | | | | |            by sub-proof #1300.
% 196.33/33.23  | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | Case 2:
% 196.33/33.23  | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | |   (69)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.33/33.23  | | | | | | | | | | |           e2 & op(e0, e2) = e2)
% 196.33/33.23  | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | BETA: splitting (69) gives:
% 196.33/33.23  | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | Case 1:
% 196.33/33.23  | | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | |   (70)  all_56_7 = e2 & op(e1, e2) = e2
% 196.33/33.23  | | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | | REF_CLOSE: (8), (27), (70) are inconsistent by sub-proof
% 196.33/33.23  | | | | | | | | | | | |            #1906.
% 196.33/33.23  | | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | Case 2:
% 196.33/33.23  | | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | |   (71)  all_56_13 = e2 & op(e0, e2) = e2
% 196.33/33.23  | | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | | ALPHA: (71) implies:
% 196.33/33.23  | | | | | | | | | | | |   (72)  all_56_13 = e2
% 196.33/33.23  | | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | | COMBINE_EQS: (57), (72) imply:
% 196.33/33.23  | | | | | | | | | | | |   (73)  e2 = e0
% 196.33/33.23  | | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | | REF_CLOSE: (5), (6), (10), (20), (23), (25), (27), (34),
% 196.33/33.23  | | | | | | | | | | | |            (35), (36), (67), (73) are inconsistent by
% 196.33/33.23  | | | | | | | | | | | |            sub-proof #925.
% 196.33/33.23  | | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | | End of split
% 196.33/33.23  | | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | End of split
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | Case 2:
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | |   (74)  all_56_9 = e2 & op(e3, e0) = e2
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | | REF_CLOSE: (35), (47), (74) are inconsistent by sub-proof
% 196.33/33.23  | | | | | | | | | |            #1102.
% 196.33/33.23  | | | | | | | | | | 
% 196.33/33.23  | | | | | | | | | End of split
% 196.33/33.23  | | | | | | | | | 
% 196.33/33.23  | | | | | | | | End of split
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | Case 2:
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | |   (75)  all_56_3 = e3 & op(e2, e2) = e3
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | | ALPHA: (75) implies:
% 196.33/33.23  | | | | | | | |   (76)  op(e2, e2) = e3
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | | REF_CLOSE: (6), (7), (21), (76) are inconsistent by sub-proof
% 196.33/33.23  | | | | | | | |            #1975.
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | End of split
% 196.33/33.23  | | | | | | | 
% 196.33/33.23  | | | | | | Case 2:
% 196.33/33.23  | | | | | | | 
% 196.33/33.23  | | | | | | |   (77)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 196.33/33.23  | | | | | | |           op(e0, e2) = e3)
% 196.33/33.23  | | | | | | | 
% 196.33/33.23  | | | | | | | BETA: splitting (77) gives:
% 196.33/33.23  | | | | | | | 
% 196.33/33.23  | | | | | | | Case 1:
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | |   (78)  all_56_7 = e3 & op(e1, e2) = e3
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | | ALPHA: (78) implies:
% 196.33/33.23  | | | | | | | |   (79)  all_56_7 = e3
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | | REF_CLOSE: (8), (34), (79) are inconsistent by sub-proof #1907.
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | Case 2:
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | |   (80)  all_56_13 = e3 & op(e0, e2) = e3
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | | REF_CLOSE: (36), (57), (80) are inconsistent by sub-proof #1420.
% 196.33/33.23  | | | | | | | | 
% 196.33/33.23  | | | | | | | End of split
% 196.33/33.23  | | | | | | | 
% 196.33/33.23  | | | | | | End of split
% 196.33/33.23  | | | | | | 
% 196.33/33.23  | | | | | Case 2:
% 196.33/33.23  | | | | | | 
% 196.33/33.23  | | | | | |   (81)  all_56_14 = e0 & op(e0, e1) = e0
% 196.33/33.23  | | | | | | 
% 196.33/33.23  | | | | | | ALPHA: (81) implies:
% 196.33/33.23  | | | | | |   (82)  op(e0, e1) = e0
% 196.33/33.23  | | | | | | 
% 196.33/33.23  | | | | | | REF_CLOSE: (6), (18), (28), (82) are inconsistent by sub-proof
% 196.33/33.23  | | | | | |            #1931.
% 196.33/33.23  | | | | | | 
% 196.33/33.23  | | | | | End of split
% 196.33/33.23  | | | | | 
% 196.33/33.23  | | | | End of split
% 196.33/33.23  | | | | 
% 196.33/33.23  | | | End of split
% 196.33/33.23  | | | 
% 196.33/33.23  | | End of split
% 196.33/33.23  | | 
% 196.33/33.23  | End of split
% 196.33/33.23  | 
% 196.33/33.23  End of proof
% 196.33/33.23  
% 196.33/33.23  Sub-proof #896 shows that the following formulas are inconsistent:
% 196.33/33.23  ----------------------------------------------------------------
% 196.33/33.24    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.33/33.24           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.33/33.24           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.33/33.24                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.33/33.24               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.33/33.24               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.33/33.24           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.33/33.24           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.24               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.33/33.24           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.33/33.24               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.33/33.24           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.33/33.24           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.33/33.24               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.24               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.24               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.24         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.33/33.24           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.33/33.24           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.33/33.24               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.33/33.24             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.24         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.33/33.24           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.33/33.24           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.33/33.24                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.33/33.24               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.33/33.24               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.33/33.24           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.33/33.24           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.33/33.24             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.24           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.24               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.33/33.24           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.33/33.24           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.33/33.24               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.24               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.24               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.24         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.33/33.24           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.33/33.24           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.33/33.24               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.33/33.24             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.24         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.33/33.24           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.33/33.24           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.33/33.24                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.33/33.24               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.24               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.33/33.24           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.33/33.24             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.24               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.24           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.24               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.33/33.24           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.33/33.24           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.33/33.24               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.24               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.24               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.33/33.24         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.33/33.24           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.33/33.24           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.33/33.24               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.33/33.24             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.33/33.24         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.33/33.24             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.24           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.24               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.33/33.24             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.24         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.33/33.24             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.24           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.24               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.33/33.24             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.24         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.33/33.24             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.24           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.33/33.24               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.33/33.24             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.24         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.33/33.24             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.24           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.33/33.24               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.33/33.24             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.33/33.24    (2)   ~ (all_52_11 = e1)
% 196.33/33.24    (3)  op(e0, e0) = e1
% 196.33/33.24    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.24    (5)  op(e2, e2) = all_4_2
% 196.33/33.24    (6)  op(e3, e3) = e1
% 196.33/33.24    (7)  op(e0, e3) = all_52_3
% 196.33/33.24    (8)  op(e0, e3) = e0
% 196.33/33.24    (9)  op(e2, e0) = all_52_13
% 196.33/33.24    (10)  op(e1, e0) = all_52_14
% 196.33/33.24    (11)  op(e3, e0) = e0
% 196.33/33.24    (12)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.33/33.24              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.33/33.24            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.33/33.24            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.33/33.24            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.33/33.24            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.33/33.24            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.33/33.24            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.33/33.24            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.33/33.24            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.33/33.24            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.33/33.24            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.33/33.24            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.33/33.24            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.33/33.24            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.33/33.24            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.33/33.24            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.33/33.24            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.33/33.24            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.33/33.24            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.33/33.24            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.33/33.24            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.33/33.24            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.33/33.24            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.33/33.24            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.24            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.33/33.24            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.33/33.24            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.24            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.24            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.33/33.24            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.33/33.24            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.33/33.24            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.33/33.24            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.33/33.24            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.24            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.33/33.24            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.33/33.24            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.33/33.24            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.33/33.24            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.33/33.24            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.33/33.24            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.33/33.24            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.33/33.24            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.33/33.24            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.33/33.24            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.33/33.24            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.33/33.24            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.33/33.24              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.33/33.24            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.33/33.24            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.33/33.24              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.33/33.24            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.33/33.24            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.33/33.24                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.33/33.24                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.33/33.24                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.33/33.24                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.33/33.24                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.33/33.24                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.33/33.24                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.33/33.24              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.33/33.24                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.33/33.24                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.33/33.24                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.33/33.24                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.33/33.24                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.33/33.24                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.33/33.24                $i(all_57_7))))
% 196.33/33.24    (13)   ~ (all_52_12 = all_52_14)
% 196.33/33.24    (14)  op(e0, e1) = all_52_11
% 196.33/33.24    (15)   ~ (all_52_14 = e1)
% 196.33/33.24    (16)  op(e1, e1) = e0
% 196.33/33.24    (17)   ~ (all_4_2 = e3)
% 196.33/33.24    (18)   ~ (e2 = e1)
% 196.33/33.24    (19)   ~ (all_52_12 = e1)
% 196.33/33.24    (20)  op(e3, e0) = all_52_12
% 196.33/33.24    (21)  op(e2, e1) = all_52_9
% 196.33/33.24    (22)  op(e2, e2) = e0
% 196.33/33.24    (23)   ~ (all_52_9 = all_52_13)
% 196.33/33.24    (24)   ~ (e3 = e1)
% 196.33/33.24    (25)   ~ (e2 = e0)
% 196.33/33.24    (26)   ~ (e3 = e0)
% 196.33/33.24    (27)   ~ (all_52_3 = all_52_11)
% 196.33/33.24  
% 196.33/33.24  Begin of proof
% 196.33/33.24  | 
% 196.33/33.24  | GROUND_INST: instantiating (4) with all_52_3, e0, e3, e0, simplifying with
% 196.33/33.24  |              (7), (8) gives:
% 196.33/33.24  |   (28)  all_52_3 = e0
% 196.33/33.24  | 
% 196.33/33.24  | GROUND_INST: instantiating (4) with all_52_12, e0, e0, e3, simplifying with
% 196.33/33.24  |              (11), (20) gives:
% 196.33/33.24  |   (29)  all_52_12 = e0
% 196.33/33.24  | 
% 196.33/33.24  | REDUCE: (27), (28) imply:
% 196.33/33.24  |   (30)   ~ (all_52_11 = e0)
% 196.33/33.24  | 
% 196.33/33.24  | SIMP: (30) implies:
% 196.33/33.24  |   (31)   ~ (all_52_11 = e0)
% 196.33/33.24  | 
% 196.33/33.24  | REDUCE: (13), (29) imply:
% 196.33/33.24  |   (32)   ~ (all_52_14 = e0)
% 196.33/33.24  | 
% 196.33/33.24  | SIMP: (32) implies:
% 196.33/33.24  |   (33)   ~ (all_52_14 = e0)
% 196.33/33.24  | 
% 196.33/33.24  | REDUCE: (19), (29) imply:
% 196.33/33.24  |   (34)   ~ (e1 = e0)
% 196.33/33.24  | 
% 196.33/33.24  | SIMP: (34) implies:
% 196.33/33.24  |   (35)   ~ (e1 = e0)
% 196.33/33.24  | 
% 196.33/33.24  | BETA: splitting (12) gives:
% 196.33/33.24  | 
% 196.33/33.24  | Case 1:
% 196.33/33.24  | | 
% 196.33/33.24  | |   (36)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 196.33/33.24  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.33/33.24  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.33/33.24  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.33/33.24  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.33/33.24  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 196.33/33.24  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 196.33/33.24  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 196.33/33.24  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.33/33.24  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 196.33/33.24  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.33/33.24  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 196.33/33.24  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 196.33/33.24  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.33/33.24  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.33/33.24  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 196.33/33.24  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.33/33.24  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.33/33.24  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 196.33/33.24  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 196.33/33.24  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.33/33.24  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.33/33.24  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.33/33.24  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.33/33.24  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.33/33.24  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.33/33.24  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.24  | | 
% 196.33/33.24  | | BETA: splitting (36) gives:
% 196.33/33.24  | | 
% 196.33/33.24  | | Case 1:
% 196.33/33.24  | | | 
% 196.33/33.24  | | |   (37)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.33/33.24  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.33/33.24  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.33/33.24  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 196.33/33.24  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.33/33.24  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.33/33.24  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 196.33/33.24  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.33/33.24  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.33/33.24  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 196.33/33.24  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.33/33.24  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 196.33/33.24  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.33/33.24  | | | 
% 196.33/33.24  | | | BETA: splitting (37) gives:
% 196.33/33.24  | | | 
% 196.33/33.24  | | | Case 1:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | |   (38)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.33/33.24  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.33/33.24  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.33/33.24  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 196.33/33.24  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.33/33.24  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 196.33/33.24  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | REF_CLOSE: (4), (8), (16), (26), (38) are inconsistent by sub-proof
% 196.33/33.24  | | | |            #1395.
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | Case 2:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | |   (39)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.33/33.24  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.33/33.24  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.33/33.24  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 196.33/33.24  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.33/33.24  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 196.33/33.24  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | REF_CLOSE: (4), (5), (8), (17), (39) are inconsistent by sub-proof
% 196.33/33.24  | | | |            #1022.
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | End of split
% 196.33/33.24  | | | 
% 196.33/33.24  | | Case 2:
% 196.33/33.24  | | | 
% 196.33/33.24  | | |   (40)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.33/33.24  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.33/33.24  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.33/33.24  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 196.33/33.24  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.33/33.24  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.33/33.24  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.33/33.24  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.33/33.24  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 196.33/33.24  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 196.33/33.24  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 196.33/33.24  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 196.33/33.24  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 196.33/33.24  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.33/33.24  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.33/33.24  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.24  | | | 
% 196.33/33.24  | | | BETA: splitting (40) gives:
% 196.33/33.24  | | | 
% 196.33/33.24  | | | Case 1:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | |   (41)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.33/33.24  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.33/33.24  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.33/33.24  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.33/33.24  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 196.33/33.24  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.33/33.24  | | | |           $i(all_57_5) & $i(all_57_10))
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | REF_CLOSE: (3), (4), (16), (18), (25), (41) are inconsistent by
% 196.33/33.24  | | | |            sub-proof #930.
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | Case 2:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | |   (42)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.33/33.24  | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.33/33.24  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.33/33.24  | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 196.33/33.24  | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.33/33.24  | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 196.33/33.24  | | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.33/33.24  | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 196.33/33.24  | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.33/33.24  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | BETA: splitting (42) gives:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | Case 1:
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | |   (43)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.33/33.24  | | | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.33/33.24  | | | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.33/33.24  | | | | |         $i(all_57_14)
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | ALPHA: (43) implies:
% 196.33/33.24  | | | | |   (44)  op(e3, e3) = e2
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | REF_CLOSE: (4), (6), (18), (44) are inconsistent by sub-proof #1934.
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | Case 2:
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | |   (45)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.33/33.24  | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 196.33/33.24  | | | | |           & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.33/33.24  | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 196.33/33.24  | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.33/33.24  | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.33/33.24  | | | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | REF_CLOSE: (3), (4), (18), (22), (35), (45) are inconsistent by
% 196.33/33.24  | | | | |            sub-proof #922.
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | End of split
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | End of split
% 196.33/33.24  | | | 
% 196.33/33.24  | | End of split
% 196.33/33.24  | | 
% 196.33/33.24  | Case 2:
% 196.33/33.24  | | 
% 196.33/33.24  | |   (46)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 196.33/33.24  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.33/33.24  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 196.33/33.24  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 196.33/33.24  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.33/33.24  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 196.33/33.24  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 196.33/33.24  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.33/33.24  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.33/33.24  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.33/33.24  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.33/33.24  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.33/33.24  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 196.33/33.24  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 196.33/33.24  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.33/33.24  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.33/33.24  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.33/33.24  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 196.33/33.24  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.33/33.24  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.33/33.24  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 196.33/33.24  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 196.33/33.24  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 196.33/33.24  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.33/33.24  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 196.33/33.24  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.33/33.24  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 196.33/33.24  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.33/33.24  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.33/33.24  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.33/33.24  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.33/33.24  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.33/33.24  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.33/33.24  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.33/33.24  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.33/33.24  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.33/33.24  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.33/33.24  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.33/33.24  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.33/33.24  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.33/33.24  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.33/33.24  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.33/33.24  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.33/33.24  | |               $i(all_57_7))))
% 196.33/33.24  | | 
% 196.33/33.24  | | BETA: splitting (46) gives:
% 196.33/33.24  | | 
% 196.33/33.24  | | Case 1:
% 196.33/33.24  | | | 
% 196.33/33.24  | | |   (47)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.33/33.24  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.24  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.24  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 196.33/33.24  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.33/33.24  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.33/33.24  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 196.33/33.24  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.33/33.24  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 196.33/33.24  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 196.33/33.24  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.33/33.24  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.33/33.24  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 196.33/33.24  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.33/33.24  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.33/33.24  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.33/33.24  | | |           $i(all_57_13))
% 196.33/33.24  | | | 
% 196.33/33.24  | | | BETA: splitting (47) gives:
% 196.33/33.24  | | | 
% 196.33/33.24  | | | Case 1:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | |   (48)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.33/33.24  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.24  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.24  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 196.33/33.24  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 196.33/33.24  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 196.33/33.24  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | BETA: splitting (48) gives:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | Case 1:
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | |   (49)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.33/33.24  | | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.24  | | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.24  | | | | |         $i(all_57_10)
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | ALPHA: (49) implies:
% 196.33/33.24  | | | | |   (50)   ~ (all_57_10 = e1)
% 196.33/33.24  | | | | |   (51)  op(e3, e3) = all_57_10
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | REF_CLOSE: (4), (6), (50), (51) are inconsistent by sub-proof #1319.
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | Case 2:
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | |   (52)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.33/33.24  | | | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.33/33.24  | | | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.33/33.24  | | | | |         $i(all_57_12)
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | ALPHA: (52) implies:
% 196.33/33.24  | | | | |   (53)  all_57_7 = e2
% 196.33/33.24  | | | | |   (54)   ~ (all_57_12 = e1)
% 196.33/33.24  | | | | |   (55)  op(e2, e1) = e2
% 196.33/33.24  | | | | |   (56)  op(e2, e2) = all_57_12
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (14), (16),
% 196.33/33.24  | | | | |            (17), (18), (21), (22), (23), (24), (25), (33), (35), (53),
% 196.33/33.24  | | | | |            (54), (55), (56) are inconsistent by sub-proof #897.
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | End of split
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | Case 2:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | |   (57)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.33/33.24  | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.33/33.24  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.24  | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 196.33/33.24  | | | |           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.33/33.24  | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 196.33/33.24  | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.33/33.24  | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.33/33.24  | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 196.33/33.24  | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | BETA: splitting (57) gives:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | Case 1:
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | |   (58)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.33/33.24  | | | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.33/33.24  | | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.24  | | | | |         $i(all_57_12)
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | ALPHA: (58) implies:
% 196.33/33.24  | | | | |   (59)  all_57_7 = e2
% 196.33/33.24  | | | | |   (60)   ~ (all_57_12 = e1)
% 196.33/33.24  | | | | |   (61)  op(e2, e1) = e2
% 196.33/33.24  | | | | |   (62)  op(e2, e2) = all_57_12
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (14), (16),
% 196.33/33.24  | | | | |            (17), (18), (21), (22), (23), (24), (25), (33), (35), (59),
% 196.33/33.24  | | | | |            (60), (61), (62) are inconsistent by sub-proof #897.
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | Case 2:
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | |   (63)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.33/33.24  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 196.33/33.24  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.33/33.24  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 196.33/33.24  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 196.33/33.24  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.33/33.24  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | REF_CLOSE: (4), (11), (26), (63) are inconsistent by sub-proof #1383.
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | End of split
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | End of split
% 196.33/33.24  | | | 
% 196.33/33.24  | | Case 2:
% 196.33/33.24  | | | 
% 196.33/33.24  | | |   (64)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.33/33.24  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.33/33.24  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.33/33.24  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.33/33.24  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.33/33.24  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.33/33.24  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 196.33/33.24  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.33/33.24  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 196.33/33.24  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 196.33/33.24  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.33/33.24  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 196.33/33.24  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.33/33.24  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.33/33.24  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.33/33.24  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.33/33.24  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.33/33.24  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.33/33.24  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 196.33/33.24  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.33/33.24  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.33/33.24  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.33/33.24  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 196.33/33.24  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.33/33.24  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.33/33.24  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.33/33.24  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.33/33.24  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.33/33.24  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.33/33.24  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 196.33/33.24  | | | 
% 196.33/33.24  | | | BETA: splitting (64) gives:
% 196.33/33.24  | | | 
% 196.33/33.24  | | | Case 1:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | |   (65)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.33/33.24  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.33/33.24  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.33/33.24  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 196.33/33.24  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.33/33.24  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.33/33.24  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | REF_CLOSE: (4), (6), (35), (65) are inconsistent by sub-proof #1936.
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | Case 2:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | |   (66)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.33/33.24  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.33/33.24  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.33/33.24  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 196.33/33.24  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.33/33.24  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.33/33.24  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 196.33/33.24  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 196.33/33.24  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.33/33.24  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.33/33.24  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.33/33.24  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.33/33.24  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.33/33.24  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.33/33.24  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.33/33.24  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.33/33.24  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.33/33.24  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 196.33/33.24  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.33/33.24  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 196.33/33.24  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.33/33.24  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.33/33.24  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.33/33.24  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | BETA: splitting (66) gives:
% 196.33/33.24  | | | | 
% 196.33/33.24  | | | | Case 1:
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | |   (67)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.33/33.24  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.33/33.24  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.33/33.24  | | | | |         $i(all_57_13)
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | ALPHA: (67) implies:
% 196.33/33.24  | | | | |   (68)   ~ (all_57_12 = e0)
% 196.33/33.24  | | | | |   (69)  op(e2, e2) = all_57_12
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | | REF_CLOSE: (4), (22), (68), (69) are inconsistent by sub-proof #1381.
% 196.33/33.24  | | | | | 
% 196.33/33.24  | | | | Case 2:
% 196.33/33.24  | | | | | 
% 196.33/33.25  | | | | |   (70)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.33/33.25  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.33/33.25  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.33/33.25  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.25  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.33/33.25  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.33/33.25  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.33/33.25  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.33/33.25  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.33/33.25  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.33/33.25  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.33/33.25  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.33/33.25  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.33/33.25  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.33/33.25  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.33/33.25  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.33/33.25  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.33/33.25  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.33/33.25  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.33/33.25  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.33/33.25  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.33/33.25  | | | | |               $i(all_57_7))))
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | | BETA: splitting (70) gives:
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | | Case 1:
% 196.33/33.25  | | | | | | 
% 196.33/33.25  | | | | | |   (71)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.33/33.25  | | | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.33/33.25  | | | | | |         & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.33/33.25  | | | | | |         $i(all_57_14)
% 196.33/33.25  | | | | | | 
% 196.33/33.25  | | | | | | ALPHA: (71) implies:
% 196.33/33.25  | | | | | |   (72)  op(e1, e0) = e1
% 196.33/33.25  | | | | | | 
% 196.33/33.25  | | | | | | REF_CLOSE: (4), (10), (15), (72) are inconsistent by sub-proof
% 196.33/33.25  | | | | | |            #1958.
% 196.33/33.25  | | | | | | 
% 196.33/33.25  | | | | | Case 2:
% 196.33/33.25  | | | | | | 
% 196.33/33.25  | | | | | |   (73)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.33/33.25  | | | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.33/33.25  | | | | | |               e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 196.33/33.25  | | | | | |               e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.33/33.25  | | | | | |             = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 196.33/33.25  | | | | | |               e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.33/33.25  | | | | | |             $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.33/33.25  | | | | | |             (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.33/33.25  | | | | | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.33/33.25  | | | | | |             $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.33/33.25  | | | | | |             (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.33/33.25  | | | | | |             all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.33/33.25  | | | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.33/33.25  | | | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.33/33.25  | | | | | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.33/33.25  | | | | | |             $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.33/33.25  | | | | | |             (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.33/33.25  | | | | | |             & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.33/33.25  | | | | | |             $i(all_57_7)))
% 196.33/33.25  | | | | | | 
% 196.33/33.25  | | | | | | ALPHA: (73) implies:
% 196.33/33.25  | | | | | |   (74)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.33/33.25  | | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 196.33/33.25  | | | | | |           & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.33/33.25  | | | | | |           all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 196.33/33.25  | | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 196.33/33.25  | | | | | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.33/33.25  | | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.33/33.25  | | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.33/33.25  | | | | | |         (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.33/33.25  | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 196.33/33.25  | | | | | |           & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.33/33.25  | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 196.33/33.25  | | | | | |           & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.33/33.25  | | | | | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.33/33.25  | | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.33/33.25  | | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.33/33.25  | | | | | | 
% 196.33/33.25  | | | | | | REF_CLOSE: (4), (5), (6), (14), (16), (17), (18), (22), (25), (26),
% 196.33/33.25  | | | | | |            (31), (35), (74) are inconsistent by sub-proof #1380.
% 196.33/33.25  | | | | | | 
% 196.33/33.25  | | | | | End of split
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | End of split
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | End of split
% 196.33/33.25  | | | 
% 196.33/33.25  | | End of split
% 196.33/33.25  | | 
% 196.33/33.25  | End of split
% 196.33/33.25  | 
% 196.33/33.25  End of proof
% 196.33/33.25  
% 196.33/33.25  Sub-proof #897 shows that the following formulas are inconsistent:
% 196.33/33.25  ----------------------------------------------------------------
% 196.33/33.25    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.33/33.25           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.33/33.25           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.33/33.25                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.33/33.25               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.33/33.25               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.33/33.25           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.33/33.25           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.25               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.33/33.25           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.33/33.25               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.33/33.25           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.33/33.25           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.33/33.25               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.25               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.25               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.25         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.33/33.25           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.33/33.25           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.33/33.25               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.33/33.25             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.25         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.33/33.25           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.33/33.25           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.33/33.25                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.33/33.25               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.33/33.25               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.33/33.25           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.33/33.25           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.33/33.25             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.25           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.25               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.33/33.25           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.33/33.25           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.33/33.25               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.25               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.25               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.25         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.33/33.25           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.33/33.25           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.33/33.25               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.33/33.25             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.25         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.33/33.25           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.33/33.25           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.33/33.25                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.33/33.25               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.25               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.33/33.25           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.33/33.25             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.25               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.25           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.25               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.33/33.25           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.33/33.25           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.33/33.25               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.25               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.25               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.33/33.25         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.33/33.25           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.33/33.25           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.33/33.25               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.33/33.25             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.33/33.25         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.33/33.25             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.25           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.25               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.33/33.25             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.25         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.33/33.25             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.25           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.25               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.33/33.25             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.25         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.33/33.25             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.25           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.33/33.25               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.33/33.25             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.25         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.33/33.25             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.25           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.33/33.25               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.33/33.25             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.33/33.25    (2)   ~ (all_52_14 = e0)
% 196.33/33.25    (3)   ~ (all_52_11 = e1)
% 196.33/33.25    (4)  op(e0, e0) = e1
% 196.33/33.25    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.25    (6)  op(e2, e2) = all_4_2
% 196.33/33.25    (7)  op(e3, e3) = e1
% 196.33/33.25    (8)  op(e0, e3) = e0
% 196.33/33.25    (9)  op(e2, e0) = all_52_13
% 196.33/33.25    (10)  op(e1, e0) = all_52_14
% 196.33/33.25    (11)  op(e0, e1) = all_52_11
% 196.33/33.25    (12)  op(e1, e1) = e0
% 196.33/33.25    (13)   ~ (all_4_2 = e3)
% 196.33/33.25    (14)   ~ (e1 = e0)
% 196.33/33.25    (15)  all_57_7 = e2
% 196.33/33.25    (16)  op(e2, e2) = all_57_12
% 196.33/33.25    (17)   ~ (e2 = e1)
% 196.33/33.25    (18)  op(e2, e1) = all_52_9
% 196.33/33.25    (19)  op(e2, e2) = e0
% 196.33/33.25    (20)   ~ (all_52_9 = all_52_13)
% 196.33/33.25    (21)   ~ (all_57_12 = e1)
% 196.33/33.25    (22)   ~ (e3 = e1)
% 196.33/33.25    (23)   ~ (e2 = e0)
% 196.33/33.25    (24)  op(e2, e1) = e2
% 196.33/33.25  
% 196.33/33.25  Begin of proof
% 196.33/33.25  | 
% 196.33/33.25  | BETA: splitting (1) gives:
% 196.33/33.25  | 
% 196.33/33.25  | Case 1:
% 196.33/33.25  | | 
% 196.33/33.25  | |   (25)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.33/33.25  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.33/33.25  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.25  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.33/33.25  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.33/33.25  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 196.33/33.25  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.33/33.25  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 196.33/33.25  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.33/33.25  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.33/33.25  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.33/33.25  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 196.33/33.25  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 196.33/33.25  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.33/33.25  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.25  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.25  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.25  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.33/33.25  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.33/33.25  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.33/33.25  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.25  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.33/33.25  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 196.33/33.25  | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0,
% 196.33/33.25  | |             e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 196.33/33.25  | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.33/33.25  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 196.33/33.25  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.25  | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15
% 196.33/33.25  | |           = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0
% 196.33/33.25  | |           & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 196.33/33.25  | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.33/33.25  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.25  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.33/33.25  | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.33/33.25  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.33/33.25  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.33/33.25  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.25  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.25  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 196.33/33.25  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.33/33.25  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 196.33/33.25  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.33/33.25  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 196.33/33.25  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.33/33.25  | |               $i(all_57_5))))
% 196.33/33.25  | | 
% 196.33/33.25  | | BETA: splitting (25) gives:
% 196.33/33.25  | | 
% 196.33/33.25  | | Case 1:
% 196.33/33.25  | | | 
% 196.33/33.25  | | |   (26)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 196.33/33.25  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.33/33.25  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.25  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.33/33.25  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.33/33.25  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 196.33/33.25  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 196.33/33.25  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 196.33/33.25  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.33/33.25  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 196.33/33.25  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.33/33.25  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 196.33/33.25  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 196.33/33.25  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.33/33.25  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.33/33.25  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 196.33/33.25  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.33/33.25  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 196.33/33.25  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.33/33.25  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 196.33/33.25  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.33/33.25  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.33/33.25  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.33/33.25  | | |               $i(all_57_2))))
% 196.33/33.25  | | | 
% 196.33/33.25  | | | BETA: splitting (26) gives:
% 196.33/33.25  | | | 
% 196.33/33.25  | | | Case 1:
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | |   (27)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 196.33/33.25  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 196.33/33.25  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 196.33/33.25  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.25  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.33/33.25  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.33/33.25  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 196.33/33.25  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 196.33/33.25  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.25  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.33/33.25  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.25  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | | REF_CLOSE: (5), (6), (7), (13), (17), (27) are inconsistent by sub-proof
% 196.33/33.25  | | | |            #1893.
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | Case 2:
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | |   (28)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 196.33/33.25  | | | |           e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 196.33/33.25  | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 196.33/33.25  | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.25  | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.25  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 196.33/33.25  | | | |         | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.33/33.25  | | | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 196.33/33.25  | | | |           e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.33/33.25  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.25  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.25  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | | BETA: splitting (28) gives:
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | | Case 1:
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | |   (29)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 196.33/33.25  | | | | |         e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 196.33/33.25  | | | | |         all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 196.33/33.25  | | | | |             e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.25  | | | | |             $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.25  | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | | ALPHA: (29) implies:
% 196.33/33.25  | | | | |   (30)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.33/33.25  | | | | |           op(e2, e1) = all_57_7 & $i(all_57_7))
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | | REF_CLOSE: (15), (21), (30) are inconsistent by sub-proof #1892.
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | Case 2:
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | |   (31)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.33/33.25  | | | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 196.33/33.25  | | | | |         e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.33/33.25  | | | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.25  | | | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.25  | | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | | ALPHA: (31) implies:
% 196.33/33.25  | | | | |   (32)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.25  | | | | |           op(e0, e3) = all_57_2 & $i(all_57_2))
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | | REF_CLOSE: (4), (5), (8), (22), (32) are inconsistent by sub-proof
% 196.33/33.25  | | | | |            #911.
% 196.33/33.25  | | | | | 
% 196.33/33.25  | | | | End of split
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | End of split
% 196.33/33.25  | | | 
% 196.33/33.25  | | Case 2:
% 196.33/33.25  | | | 
% 196.33/33.25  | | |   (33)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 196.33/33.25  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.33/33.25  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.25  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 196.33/33.25  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.33/33.25  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 196.33/33.25  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 196.33/33.25  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.33/33.25  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.33/33.25  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 196.33/33.25  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.33/33.25  | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2
% 196.33/33.25  | | |           & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1,
% 196.33/33.25  | | |             e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.33/33.25  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.33/33.25  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 196.33/33.25  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.33/33.25  | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 196.33/33.25  | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.33/33.25  | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 196.33/33.25  | | |               = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.33/33.25  | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 196.33/33.25  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.33/33.25  | | |               $i(all_57_5))))
% 196.33/33.25  | | | 
% 196.33/33.25  | | | BETA: splitting (33) gives:
% 196.33/33.25  | | | 
% 196.33/33.25  | | | Case 1:
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | |   (34)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 196.33/33.25  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 196.33/33.25  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 196.33/33.25  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.25  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 196.33/33.25  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.25  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 196.33/33.25  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.33/33.25  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.33/33.25  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.33/33.25  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.33/33.25  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.33/33.25  | | | |               all_57_1 & $i(all_57_1))))
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | | REF_CLOSE: (4), (5), (7), (14), (22), (34) are inconsistent by sub-proof
% 196.33/33.25  | | | |            #933.
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | Case 2:
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | |   (35)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 196.33/33.25  | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 196.33/33.25  | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.33/33.25  | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.25  | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.25  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 196.33/33.25  | | | |         | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 196.33/33.25  | | | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 196.33/33.25  | | | |           e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.25  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.25  | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.33/33.25  | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | | REF_CLOSE: (5), (12), (16), (21), (23), (35) are inconsistent by
% 196.33/33.25  | | | |            sub-proof #916.
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | End of split
% 196.33/33.25  | | | 
% 196.33/33.25  | | End of split
% 196.33/33.25  | | 
% 196.33/33.25  | Case 2:
% 196.33/33.25  | | 
% 196.33/33.25  | |   (36)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.33/33.25  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.33/33.25  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.25  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.25  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.33/33.25  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 196.33/33.25  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 196.33/33.25  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.33/33.25  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.33/33.25  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 196.33/33.25  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.25  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 196.33/33.25  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.33/33.25  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 196.33/33.25  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.25  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.25  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.33/33.25  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.33/33.25  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.33/33.25  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.33/33.25  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.25  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 196.33/33.25  | |                 e1) = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 196.33/33.25  | |             e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.33/33.25  | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 196.33/33.25  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.33/33.25  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.33/33.25  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.33/33.25  | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 196.33/33.25  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.33/33.25  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 196.33/33.25  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.25  | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.33/33.25  | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.25  | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 196.33/33.25  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.25  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.25  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.33/33.25  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.25  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 196.33/33.25  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.33/33.25  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 196.33/33.25  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.33/33.25  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 196.33/33.25  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.25  | |               $i(all_57_13))))
% 196.33/33.25  | | 
% 196.33/33.25  | | BETA: splitting (36) gives:
% 196.33/33.25  | | 
% 196.33/33.25  | | Case 1:
% 196.33/33.25  | | | 
% 196.33/33.25  | | |   (37)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 196.33/33.25  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.33/33.25  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.25  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.25  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.33/33.25  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 196.33/33.25  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 196.33/33.25  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.33/33.25  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.25  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.25  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.33/33.25  | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 196.33/33.25  | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 196.33/33.25  | | |           e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.25  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.33/33.25  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.33/33.25  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.33/33.25  | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 196.33/33.25  | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.33/33.25  | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10
% 196.33/33.25  | | |               = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.33/33.25  | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 196.33/33.25  | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.25  | | |               $i(all_57_7))))
% 196.33/33.25  | | | 
% 196.33/33.25  | | | BETA: splitting (37) gives:
% 196.33/33.25  | | | 
% 196.33/33.25  | | | Case 1:
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | |   (38)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 196.33/33.25  | | | |           e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 196.33/33.25  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 196.33/33.25  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.25  | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 196.33/33.25  | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.25  | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 196.33/33.25  | | | |           all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.33/33.25  | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.33/33.25  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.33/33.25  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.33/33.25  | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.33/33.25  | | | |               all_57_4 & $i(all_57_4))))
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | | REF_CLOSE: (4), (5), (9), (17), (18), (20), (24), (38) are inconsistent
% 196.33/33.25  | | | |            by sub-proof #899.
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | Case 2:
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | |   (39)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) =
% 196.33/33.25  | | | |           e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 196.33/33.25  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 196.33/33.25  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.25  | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.25  | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.25  | | | |               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 196.33/33.25  | | | |           all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.33/33.25  | | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.33/33.25  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.33/33.25  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.33/33.25  | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.33/33.25  | | | |               all_57_7 & $i(all_57_7))))
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | | REF_CLOSE: (2), (3), (5), (10), (11), (39) are inconsistent by sub-proof
% 196.33/33.25  | | | |            #1883.
% 196.33/33.25  | | | | 
% 196.33/33.25  | | | End of split
% 196.33/33.25  | | | 
% 196.33/33.25  | | Case 2:
% 196.33/33.25  | | | 
% 196.33/33.26  | | |   (40)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 196.33/33.26  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.33/33.26  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.26  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.33/33.26  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.26  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 196.33/33.26  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.26  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.26  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.33/33.26  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.33/33.26  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.33/33.26  | | |               all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) =
% 196.33/33.26  | | |           e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.33/33.26  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 196.33/33.26  | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.33/33.26  | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 196.33/33.26  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.33/33.26  | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 196.33/33.26  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.33/33.26  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.33/33.26  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.33/33.26  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 196.33/33.26  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.26  | | |               $i(all_57_13))))
% 196.33/33.26  | | | 
% 196.33/33.26  | | | BETA: splitting (40) gives:
% 196.33/33.26  | | | 
% 196.33/33.26  | | | Case 1:
% 196.33/33.26  | | | | 
% 196.33/33.26  | | | |   (41)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 196.33/33.26  | | | |                 e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 196.33/33.26  | | | |               & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 196.33/33.26  | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 196.33/33.26  | | | |           & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.26  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2
% 196.33/33.26  | | | |           & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.26  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.26  | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.33/33.26  | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 196.33/33.26  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.33/33.26  | | | |               all_57_5 & $i(all_57_5))))
% 196.33/33.26  | | | | 
% 196.33/33.26  | | | | REF_CLOSE: (4), (5), (8), (19), (22), (23), (41) are inconsistent by
% 196.33/33.26  | | | |            sub-proof #898.
% 196.33/33.26  | | | | 
% 196.33/33.26  | | | Case 2:
% 196.33/33.26  | | | | 
% 196.33/33.26  | | | |   (42)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 196.33/33.26  | | | |                 e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 196.33/33.26  | | | |               & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 196.33/33.26  | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 196.33/33.26  | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 196.33/33.26  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0
% 196.33/33.26  | | | |           & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.26  | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.26  | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 196.33/33.26  | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 196.33/33.26  | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 196.33/33.26  | | | |               = all_57_13 & $i(all_57_13))))
% 196.33/33.26  | | | | 
% 196.33/33.26  | | | | REF_CLOSE: (4), (5), (12), (14), (42) are inconsistent by sub-proof
% 196.33/33.26  | | | |            #915.
% 196.33/33.26  | | | | 
% 196.33/33.26  | | | End of split
% 196.33/33.26  | | | 
% 196.33/33.26  | | End of split
% 196.33/33.26  | | 
% 196.33/33.26  | End of split
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #898 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)  op(e0, e0) = e1
% 196.33/33.26    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.26    (3)  op(e0, e3) = e0
% 196.33/33.26    (4)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.33/33.26             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.26           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.26               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.33/33.26             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.26         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.33/33.26             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.26           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.26               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.33/33.26             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.33/33.26    (5)  op(e2, e2) = e0
% 196.33/33.26    (6)   ~ (e3 = e1)
% 196.33/33.26    (7)   ~ (e2 = e0)
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | BETA: splitting (4) gives:
% 196.33/33.26  | 
% 196.33/33.26  | Case 1:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (8)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 196.33/33.26  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.33/33.26  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.26  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.33/33.26  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.33/33.26  | |              e3) = all_57_2 & $i(all_57_2)))
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (8) implies:
% 196.33/33.26  | |   (9)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.33/33.26  | |          = all_57_2 & $i(all_57_2))
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (1), (2), (3), (6), (9) are inconsistent by sub-proof #911.
% 196.33/33.26  | | 
% 196.33/33.26  | Case 2:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (10)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 196.33/33.26  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.33/33.26  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.26  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.33/33.26  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.33/33.26  | |               e2) = all_57_5 & $i(all_57_5)))
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (10) implies:
% 196.33/33.26  | |   (11)  op(e2, e2) = e2
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (2), (5), (7), (11) are inconsistent by sub-proof #1939.
% 196.33/33.26  | | 
% 196.33/33.26  | End of split
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #899 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)  op(e0, e0) = e1
% 196.33/33.26    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.26    (3)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.33/33.26           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.33/33.26           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.33/33.26                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.33/33.26               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.26               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.33/33.26           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.33/33.26             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.26               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.26           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.26               = all_57_4 & $i(all_57_4))))
% 196.33/33.26    (4)  op(e2, e0) = all_52_13
% 196.33/33.26    (5)   ~ (e2 = e1)
% 196.33/33.26    (6)  op(e2, e1) = all_52_9
% 196.33/33.26    (7)   ~ (all_52_9 = all_52_13)
% 196.33/33.26    (8)  op(e2, e1) = e2
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | BETA: splitting (3) gives:
% 196.33/33.26  | 
% 196.33/33.26  | Case 1:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (9)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.33/33.26  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.33/33.26  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.33/33.26  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 196.33/33.26  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.33/33.26  | |            all_57_13 & $i(all_57_13)))
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (9) implies:
% 196.33/33.26  | |   (10)  op(e2, e0) = e2
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (2), (4), (6), (7), (8), (10) are inconsistent by sub-proof
% 196.33/33.26  | |            #1887.
% 196.33/33.26  | | 
% 196.33/33.26  | Case 2:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (11)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 196.33/33.26  | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.33/33.26  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 196.33/33.26  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 196.33/33.26  | |             e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.33/33.26  | |             all_57_4 & $i(all_57_4)))
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (11) implies:
% 196.33/33.26  | |   (12)  op(e0, e0) = e2
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (1), (2), (5), (12) are inconsistent by sub-proof #1780.
% 196.33/33.26  | | 
% 196.33/33.26  | End of split
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #900 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.26    (2)  op(e3, e1) = e3
% 196.33/33.26    (3)   ~ (all_52_8 = all_52_12)
% 196.33/33.26    (4)  op(e3, e0) = all_52_12
% 196.33/33.26    (5)  op(e3, e1) = all_52_8
% 196.33/33.26    (6)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 196.33/33.26             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.33/33.26           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 196.33/33.26           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.33/33.26           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 196.33/33.26           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | BETA: splitting (6) gives:
% 196.33/33.26  | 
% 196.33/33.26  | Case 1:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (7)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 196.33/33.26  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 196.33/33.26  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (7) implies:
% 196.33/33.26  | |   (8)  op(e3, e0) = e3
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (1), (2), (3), (4), (5), (8) are inconsistent by sub-proof #1912.
% 196.33/33.26  | | 
% 196.33/33.26  | Case 2:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (9)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 196.33/33.26  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 196.33/33.26  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (9) implies:
% 196.33/33.26  | |   (10)  op(e3, e0) = e3
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (1), (2), (3), (4), (5), (10) are inconsistent by sub-proof
% 196.33/33.26  | |            #1912.
% 196.33/33.26  | | 
% 196.33/33.26  | End of split
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #901 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.33/33.26             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.33/33.26           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 196.33/33.26           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.33/33.26           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 196.33/33.26           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 196.33/33.26    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.26    (3)  op(e3, e3) = e1
% 196.33/33.26    (4)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.33/33.26           all_57_7 & $i(all_57_7))
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | BETA: splitting (1) gives:
% 196.33/33.26  | 
% 196.33/33.26  | Case 1:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (5)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.33/33.26  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.33/33.26  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (5) implies:
% 196.33/33.26  | |   (6)   ~ (all_57_10 = e1)
% 196.33/33.26  | |   (7)  op(e3, e3) = all_57_10
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (2), (3), (6), (7) are inconsistent by sub-proof #1319.
% 196.33/33.26  | | 
% 196.33/33.26  | Case 2:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (8)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.33/33.26  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.33/33.26  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (8) implies:
% 196.33/33.26  | |   (9)  all_57_7 = e2
% 196.33/33.26  | |   (10)   ~ (all_57_12 = e1)
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (4), (9), (10) are inconsistent by sub-proof #1892.
% 196.33/33.26  | | 
% 196.33/33.26  | End of split
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #902 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)  op(e0, e0) = e1
% 196.33/33.26    (2)  op(e1, e2) = e1
% 196.33/33.26    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.26    (4)  op(e3, e3) = e1
% 196.33/33.26    (5)   ~ (e2 = e1)
% 196.33/33.26    (6)  op(e2, e2) = e2
% 196.33/33.26    (7)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.33/33.26             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.33/33.26           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 196.33/33.26           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.33/33.26           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 196.33/33.26           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 196.33/33.26           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3)
% 196.33/33.26           = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 196.33/33.26           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 196.33/33.26           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 196.33/33.26           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.33/33.26           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 196.33/33.26            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 196.33/33.26             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | BETA: splitting (7) gives:
% 196.33/33.26  | 
% 196.33/33.26  | Case 1:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (8)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 196.33/33.26  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.33/33.26  | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.33/33.26  | |        (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 196.33/33.26  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.33/33.26  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (1), (2), (3), (5), (8) are inconsistent by sub-proof #903.
% 196.33/33.26  | | 
% 196.33/33.26  | Case 2:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (9)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 196.33/33.26  | |            = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 196.33/33.26  | |          & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.33/33.26  | |        (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.33/33.26  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.33/33.26  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.33/33.26  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.33/33.26  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.33/33.26  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.26  | | 
% 196.33/33.26  | | BETA: splitting (9) gives:
% 196.33/33.26  | | 
% 196.33/33.26  | | Case 1:
% 196.33/33.26  | | | 
% 196.33/33.26  | | |   (10)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.33/33.26  | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.33/33.26  | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.33/33.26  | | |         $i(all_57_14)
% 196.33/33.26  | | | 
% 196.33/33.26  | | | ALPHA: (10) implies:
% 196.33/33.26  | | |   (11)  op(e3, e3) = e2
% 196.33/33.26  | | | 
% 196.33/33.26  | | | REF_CLOSE: (3), (4), (5), (11) are inconsistent by sub-proof #1934.
% 196.33/33.26  | | | 
% 196.33/33.26  | | Case 2:
% 196.33/33.26  | | | 
% 196.33/33.26  | | |   (12)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.33/33.26  | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.33/33.26  | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.33/33.26  | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7
% 196.33/33.26  | | |             = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 196.33/33.26  | | |             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.33/33.26  | | |           $i(all_57_7) & $i(all_57_10))
% 196.33/33.26  | | | 
% 196.33/33.26  | | | REF_CLOSE: (1), (3), (5), (6), (12) are inconsistent by sub-proof #929.
% 196.33/33.26  | | | 
% 196.33/33.26  | | End of split
% 196.33/33.26  | | 
% 196.33/33.26  | End of split
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #903 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.33/33.26             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.33/33.26           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 196.33/33.26           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.33/33.26           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 196.33/33.26           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 196.33/33.26    (2)  op(e0, e0) = e1
% 196.33/33.26    (3)  op(e1, e2) = e1
% 196.33/33.26    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.26    (5)   ~ (e2 = e1)
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | BETA: splitting (1) gives:
% 196.33/33.26  | 
% 196.33/33.26  | Case 1:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (6)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.33/33.26  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.33/33.26  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (6) implies:
% 196.33/33.26  | |   (7)   ~ (all_57_4 = e1)
% 196.33/33.26  | |   (8)  op(e1, e2) = all_57_4
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (3), (4), (7), (8) are inconsistent by sub-proof #1303.
% 196.33/33.26  | | 
% 196.33/33.26  | Case 2:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (9)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.33/33.26  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.33/33.26  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (9) implies:
% 196.33/33.26  | |   (10)  op(e0, e0) = e2
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #1780.
% 196.33/33.26  | | 
% 196.33/33.26  | End of split
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #904 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)   ~ (all_52_3 = e1)
% 196.33/33.26    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.33/33.26    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.26    (4)  op(e0, e3) = all_52_3
% 196.33/33.26    (5)  all_56_6 = e2
% 196.33/33.26    (6)   ~ (e2 = e1)
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | BETA: splitting (2) gives:
% 196.33/33.26  | 
% 196.33/33.26  | Case 1:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (7)  all_56_6 = e1 & op(e1, e3) = e1
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (5), (6), (7) are inconsistent by sub-proof #1724.
% 196.33/33.26  | | 
% 196.33/33.26  | Case 2:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (8)  all_56_12 = e1 & op(e0, e3) = e1
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (8) implies:
% 196.33/33.26  | |   (9)  op(e0, e3) = e1
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #1950.
% 196.33/33.26  | | 
% 196.33/33.26  | End of split
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #905 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)  all_56_10 = e3 & op(e2, e0) = e3
% 196.33/33.26    (2)  all_56_10 = e0
% 196.33/33.26    (3)   ~ (e3 = e0)
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | ALPHA: (1) implies:
% 196.33/33.26  |   (4)  all_56_10 = e3
% 196.33/33.26  | 
% 196.33/33.26  | COMBINE_EQS: (2), (4) imply:
% 196.33/33.26  |   (5)  e3 = e0
% 196.33/33.26  | 
% 196.33/33.26  | REDUCE: (3), (5) imply:
% 196.33/33.26  |   (6)  $false
% 196.33/33.26  | 
% 196.33/33.26  | CLOSE: (6) is inconsistent.
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #906 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)   ~ (all_52_3 = e1)
% 196.33/33.26    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.33/33.26    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.26    (4)  op(e0, e3) = all_52_3
% 196.33/33.26    (5)  all_56_6 = e2
% 196.33/33.26    (6)   ~ (e2 = e1)
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | BETA: splitting (2) gives:
% 196.33/33.26  | 
% 196.33/33.26  | Case 1:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (7)  all_56_6 = e1 & op(e1, e3) = e1
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (7) implies:
% 196.33/33.26  | |   (8)  all_56_6 = e1
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (5), (6), (8) are inconsistent by sub-proof #1779.
% 196.33/33.26  | | 
% 196.33/33.26  | Case 2:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (9)  all_56_12 = e1 & op(e0, e3) = e1
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (9) implies:
% 196.33/33.26  | |   (10)  op(e0, e3) = e1
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1950.
% 196.33/33.26  | | 
% 196.33/33.26  | End of split
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #907 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)   ~ (e3 = e2)
% 196.33/33.26    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.26    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.33/33.26    (4)  all_56_11 = e3
% 196.33/33.26    (5)  op(e1, e1) = e0
% 196.33/33.26    (6)   ~ (e2 = e0)
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | BETA: splitting (3) gives:
% 196.33/33.26  | 
% 196.33/33.26  | Case 1:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 196.33/33.26  | | 
% 196.33/33.26  | | ALPHA: (7) implies:
% 196.33/33.26  | |   (8)  op(e1, e1) = e2
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1821.
% 196.33/33.26  | | 
% 196.33/33.26  | Case 2:
% 196.33/33.26  | | 
% 196.33/33.26  | |   (9)  all_56_11 = e2 & op(e1, e0) = e2
% 196.33/33.26  | | 
% 196.33/33.26  | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #908.
% 196.33/33.26  | | 
% 196.33/33.26  | End of split
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #908 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)  all_56_11 = e2 & op(e1, e0) = e2
% 196.33/33.26    (2)  all_56_11 = e3
% 196.33/33.26    (3)   ~ (e3 = e2)
% 196.33/33.26  
% 196.33/33.26  Begin of proof
% 196.33/33.26  | 
% 196.33/33.26  | ALPHA: (1) implies:
% 196.33/33.26  |   (4)  all_56_11 = e2
% 196.33/33.26  | 
% 196.33/33.26  | COMBINE_EQS: (2), (4) imply:
% 196.33/33.26  |   (5)  e3 = e2
% 196.33/33.26  | 
% 196.33/33.26  | REDUCE: (3), (5) imply:
% 196.33/33.26  |   (6)  $false
% 196.33/33.26  | 
% 196.33/33.26  | CLOSE: (6) is inconsistent.
% 196.33/33.26  | 
% 196.33/33.26  End of proof
% 196.33/33.26  
% 196.33/33.26  Sub-proof #909 shows that the following formulas are inconsistent:
% 196.33/33.26  ----------------------------------------------------------------
% 196.33/33.26    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.33/33.26           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.33/33.26           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.33/33.26                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.33/33.26               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.33/33.26               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.33/33.26           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.33/33.26           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.26               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.33/33.26           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.33/33.26               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.33/33.26           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.33/33.26           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.33/33.26               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.26               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.26               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.26         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.33/33.26           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.33/33.26           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.33/33.26               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.33/33.26             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.26         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.33/33.26           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.33/33.26           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.33/33.26                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.33/33.26               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.33/33.26               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.33/33.26           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.33/33.26           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.33/33.26             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.26           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.26               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.33/33.26           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.33/33.26           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.33/33.26               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.26               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.26               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.26         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.33/33.26           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.33/33.26           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.33/33.26               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.33/33.26             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.26         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.33/33.26           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.33/33.26           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.33/33.26                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.33/33.26               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.26               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.33/33.26           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.33/33.26             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.26               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.26           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.26               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.33/33.26           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.33/33.26           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.33/33.26               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.26               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.26               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.33/33.26         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.33/33.26           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.33/33.26           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.33/33.26               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.33/33.26             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.33/33.26         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.33/33.26             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.26           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.26               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.33/33.26             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.26         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.33/33.26             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.26           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.26               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.33/33.26             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.26         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.33/33.26             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.26           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.33/33.26               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.33/33.26             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.26         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.33/33.26             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.26           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.33/33.26               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.33/33.26             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.33/33.26    (2)  all_54_7 = all_52_13
% 196.33/33.26    (3)   ~ (all_52_14 = e0)
% 196.33/33.26    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.33/33.26         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.33/33.26    (5)   ~ (all_52_11 = e1)
% 196.33/33.26    (6)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.33/33.26         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.33/33.26    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.33/33.26         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.33/33.26    (8)  op(e0, e0) = e1
% 196.33/33.26    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.33/33.26         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.33/33.26    (10)  all_54_2 = all_52_8
% 196.33/33.26    (11)   ~ (e3 = e2)
% 196.33/33.26    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.26            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.26    (13)  op(e3, e2) = all_52_4
% 196.33/33.26    (14)  op(e2, e2) = all_4_2
% 196.33/33.26    (15)   ~ (all_52_9 = e0)
% 196.33/33.26    (16)   ~ (all_52_12 = all_52_13)
% 196.33/33.27    (17)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.33/33.27          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.33/33.27    (18)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.33/33.27          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.33/33.27    (19)   ~ (all_52_4 = all_52_8)
% 196.33/33.27    (20)   ~ (all_52_8 = e3)
% 196.33/33.27    (21)  op(e0, e3) = e0
% 196.33/33.27    (22)  op(e2, e0) = all_52_13
% 196.33/33.27    (23)  op(e1, e0) = all_52_14
% 196.33/33.27    (24)   ~ (all_52_8 = all_52_9)
% 196.33/33.27    (25)   ~ (all_52_13 = e1)
% 196.33/33.27    (26)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.33/33.27              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.33/33.27            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.33/33.27            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.33/33.27            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.33/33.27            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.33/33.27            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.33/33.27            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.33/33.27            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.33/33.27            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.33/33.27            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.33/33.27            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.33/33.27            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.33/33.27            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.33/33.27            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.33/33.27            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.33/33.27            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.33/33.27            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.33/33.27            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.33/33.27            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.33/33.27            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.33/33.27            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.33/33.27            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.33/33.27            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.33/33.27            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.27            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.33/33.27            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.33/33.27            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.27            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.27            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.33/33.27            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.33/33.27            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.33/33.27            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.33/33.27            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.33/33.27            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.27            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.33/33.27            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.33/33.27            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.33/33.27            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.33/33.27            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.33/33.27            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.33/33.27            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.33/33.27            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.33/33.27            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.33/33.27            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.33/33.27            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.33/33.27            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.33/33.27            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.33/33.27              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.33/33.27            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.33/33.27            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.33/33.27              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.33/33.27            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.33/33.27            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.33/33.27                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.33/33.27                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.33/33.27                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.33/33.27                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.33/33.27                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.33/33.27                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.33/33.27                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.33/33.27              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.33/33.27                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.33/33.27                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.33/33.27                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.33/33.27                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.33/33.27                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.33/33.27                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.33/33.27                $i(all_57_7))))
% 196.33/33.27    (27)   ~ (all_52_12 = all_52_14)
% 196.33/33.27    (28)  op(e0, e1) = all_52_11
% 196.33/33.27    (29)  op(e3, e3) = e3
% 196.33/33.27    (30)   ~ (all_52_12 = e3)
% 196.33/33.27    (31)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.33/33.27            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.33/33.27              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.33/33.27    (32)   ~ (all_52_14 = e1)
% 196.33/33.27    (33)  op(e1, e1) = e0
% 196.33/33.27    (34)   ~ (all_4_2 = e3)
% 196.33/33.27    (35)   ~ (all_52_8 = all_52_12)
% 196.33/33.27    (36)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.33/33.27    (37)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.33/33.27    (38)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.33/33.27          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.33/33.27    (39)   ~ (e1 = e0)
% 196.33/33.27    (40)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.33/33.27          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.33/33.27    (41)  all_56_9 = e0 & op(e3, e0) = e0
% 196.33/33.27    (42)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.33/33.27          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.33/33.27    (43)  all_36_2 = e0
% 196.33/33.27    (44)   ~ (e2 = e1)
% 196.33/33.27    (45)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.33/33.27          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.33/33.27    (46)   ~ (all_52_11 = e0)
% 196.33/33.27    (47)   ~ (all_52_12 = e1)
% 196.33/33.27    (48)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.33/33.27          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.33/33.27    (49)  op(e3, e0) = all_52_12
% 196.33/33.27    (50)  op(e2, e1) = all_52_9
% 196.33/33.27    (51)  all_56_12 = e0
% 196.33/33.27    (52)  op(e3, e1) = all_52_8
% 196.33/33.27    (53)  op(e2, e2) = e0
% 196.33/33.27    (54)   ~ (all_52_9 = all_52_13)
% 196.33/33.27    (55)   ~ (e3 = e1)
% 196.33/33.27    (56)   ~ (e2 = e0)
% 196.33/33.27    (57)   ~ (e3 = e0)
% 196.33/33.27  
% 196.33/33.27  Begin of proof
% 196.33/33.27  | 
% 196.33/33.27  | ALPHA: (41) implies:
% 196.33/33.27  |   (58)  all_56_9 = e0
% 196.33/33.27  |   (59)  op(e3, e0) = e0
% 196.33/33.27  | 
% 196.33/33.27  | BETA: splitting (26) gives:
% 196.33/33.27  | 
% 196.33/33.27  | Case 1:
% 196.33/33.27  | | 
% 196.33/33.27  | |   (60)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 196.33/33.27  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.33/33.27  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.33/33.27  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.33/33.27  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.33/33.27  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 196.33/33.27  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 196.33/33.27  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 196.33/33.27  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.33/33.27  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 196.33/33.27  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.33/33.27  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 196.33/33.27  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 196.33/33.27  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.33/33.27  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.33/33.27  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 196.33/33.27  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.33/33.27  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.33/33.27  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 196.33/33.27  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 196.33/33.27  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.33/33.27  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.33/33.27  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.33/33.27  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.33/33.27  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.33/33.27  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.33/33.27  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.27  | | 
% 196.33/33.27  | | BETA: splitting (60) gives:
% 196.33/33.27  | | 
% 196.33/33.27  | | Case 1:
% 196.33/33.27  | | | 
% 196.33/33.27  | | |   (61)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.33/33.27  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.33/33.27  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.33/33.27  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 196.33/33.27  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.33/33.27  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.33/33.27  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 196.33/33.27  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.33/33.27  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.33/33.27  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 196.33/33.27  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.33/33.27  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 196.33/33.27  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.33/33.27  | | | 
% 196.33/33.27  | | | BETA: splitting (61) gives:
% 196.33/33.27  | | | 
% 196.33/33.27  | | | Case 1:
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | |   (62)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.33/33.27  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.33/33.27  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.33/33.27  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 196.33/33.27  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.33/33.27  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 196.33/33.27  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | | REF_CLOSE: (12), (21), (33), (57), (62) are inconsistent by sub-proof
% 196.33/33.27  | | | |            #1395.
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | Case 2:
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | |   (63)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.33/33.27  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.33/33.27  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.33/33.27  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 196.33/33.27  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.33/33.27  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 196.33/33.27  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | | REF_CLOSE: (12), (14), (21), (34), (63) are inconsistent by sub-proof
% 196.33/33.27  | | | |            #1022.
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | End of split
% 196.33/33.27  | | | 
% 196.33/33.27  | | Case 2:
% 196.33/33.27  | | | 
% 196.33/33.27  | | |   (64)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.33/33.27  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.33/33.27  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.33/33.27  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 196.33/33.27  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.33/33.27  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.33/33.27  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.33/33.27  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.33/33.27  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 196.33/33.27  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 196.33/33.27  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 196.33/33.27  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 196.33/33.27  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 196.33/33.27  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.33/33.27  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.33/33.27  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.27  | | | 
% 196.33/33.27  | | | BETA: splitting (64) gives:
% 196.33/33.27  | | | 
% 196.33/33.27  | | | Case 1:
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | |   (65)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.33/33.27  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.33/33.27  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.33/33.27  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.33/33.27  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 196.33/33.27  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.33/33.27  | | | |           $i(all_57_5) & $i(all_57_10))
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | | REF_CLOSE: (8), (12), (33), (44), (56), (65) are inconsistent by
% 196.33/33.27  | | | |            sub-proof #930.
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | Case 2:
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | |   (66)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.33/33.27  | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.33/33.27  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.33/33.27  | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 196.33/33.27  | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.33/33.27  | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 196.33/33.27  | | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.33/33.27  | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 196.33/33.27  | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.33/33.27  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | | REF_CLOSE: (8), (11), (12), (29), (39), (44), (53), (66) are
% 196.33/33.27  | | | |            inconsistent by sub-proof #921.
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | End of split
% 196.33/33.27  | | | 
% 196.33/33.27  | | End of split
% 196.33/33.27  | | 
% 196.33/33.27  | Case 2:
% 196.33/33.27  | | 
% 196.33/33.27  | |   (67)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 196.33/33.27  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.33/33.27  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 196.33/33.27  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 196.33/33.27  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.33/33.27  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 196.33/33.27  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 196.33/33.27  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.33/33.27  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.33/33.27  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.33/33.27  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.33/33.27  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.33/33.27  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 196.33/33.27  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 196.33/33.27  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.33/33.27  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.33/33.27  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.33/33.27  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 196.33/33.27  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.33/33.27  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.33/33.27  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 196.33/33.27  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 196.33/33.27  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 196.33/33.27  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.33/33.27  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 196.33/33.27  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.33/33.27  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 196.33/33.27  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.33/33.27  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.33/33.27  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.33/33.27  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.33/33.27  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.33/33.27  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.33/33.27  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.33/33.27  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.33/33.27  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.33/33.27  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.33/33.27  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.33/33.27  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.33/33.27  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.33/33.27  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.33/33.27  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.33/33.27  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.33/33.27  | |               $i(all_57_7))))
% 196.33/33.27  | | 
% 196.33/33.27  | | BETA: splitting (67) gives:
% 196.33/33.27  | | 
% 196.33/33.27  | | Case 1:
% 196.33/33.27  | | | 
% 196.33/33.27  | | |   (68)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.33/33.27  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.27  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.27  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 196.33/33.27  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.33/33.27  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.33/33.27  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 196.33/33.27  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.33/33.27  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 196.33/33.27  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 196.33/33.27  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.33/33.27  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.33/33.27  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 196.33/33.27  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.33/33.27  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.33/33.27  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.33/33.27  | | |           $i(all_57_13))
% 196.33/33.27  | | | 
% 196.33/33.27  | | | BETA: splitting (68) gives:
% 196.33/33.27  | | | 
% 196.33/33.27  | | | Case 1:
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | |   (69)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.33/33.27  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.33/33.27  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.27  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 196.33/33.27  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 196.33/33.27  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 196.33/33.27  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | | REF_CLOSE: (12), (20), (29), (52), (55), (69) are inconsistent by
% 196.33/33.27  | | | |            sub-proof #1351.
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | Case 2:
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | |   (70)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.33/33.27  | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.33/33.27  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.27  | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 196.33/33.27  | | | |           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.33/33.27  | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 196.33/33.27  | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.33/33.27  | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.33/33.27  | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 196.33/33.27  | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | | BETA: splitting (70) gives:
% 196.33/33.27  | | | | 
% 196.33/33.27  | | | | Case 1:
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | |   (71)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.33/33.27  | | | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.33/33.27  | | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.33/33.27  | | | | |         $i(all_57_12)
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | ALPHA: (71) implies:
% 196.33/33.27  | | | | |   (72)   ~ (all_57_12 = e1)
% 196.33/33.27  | | | | |   (73)  op(e0, e1) = all_57_8
% 196.33/33.27  | | | | |   (74)  op(e2, e1) = e2
% 196.33/33.27  | | | | |   (75)  op(e2, e2) = all_57_12
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | GROUND_INST: instantiating (12) with all_52_11, all_57_8, e1, e0,
% 196.33/33.27  | | | | |              simplifying with (28), (73) gives:
% 196.33/33.27  | | | | |   (76)  all_57_8 = all_52_11
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | GROUND_INST: instantiating (12) with all_52_9, e2, e1, e2, simplifying
% 196.33/33.27  | | | | |              with (50), (74) gives:
% 196.33/33.27  | | | | |   (77)  all_52_9 = e2
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | GROUND_INST: instantiating (12) with e0, all_57_12, e2, e2,
% 196.33/33.27  | | | | |              simplifying with (53), (75) gives:
% 196.33/33.27  | | | | |   (78)  all_57_12 = e0
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | GROUND_INST: instantiating (12) with all_52_12, e0, e0, e3,
% 196.33/33.27  | | | | |              simplifying with (49), (59) gives:
% 196.33/33.27  | | | | |   (79)  all_52_12 = e0
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | REDUCE: (24), (77) imply:
% 196.33/33.27  | | | | |   (80)   ~ (all_52_8 = e2)
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | REDUCE: (35), (79) imply:
% 196.33/33.27  | | | | |   (81)   ~ (all_52_8 = e0)
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | REDUCE: (54), (77) imply:
% 196.33/33.27  | | | | |   (82)   ~ (all_52_13 = e2)
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | SIMP: (82) implies:
% 196.33/33.27  | | | | |   (83)   ~ (all_52_13 = e2)
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | REDUCE: (16), (79) imply:
% 196.33/33.27  | | | | |   (84)   ~ (all_52_13 = e0)
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | SIMP: (84) implies:
% 196.33/33.27  | | | | |   (85)   ~ (all_52_13 = e0)
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | REDUCE: (27), (79) imply:
% 196.33/33.27  | | | | |   (86)   ~ (all_52_14 = e0)
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | REDUCE: (30), (79) imply:
% 196.33/33.27  | | | | |   (87)   ~ (e3 = e0)
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | REDUCE: (47), (79) imply:
% 196.33/33.27  | | | | |   (88)   ~ (e1 = e0)
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | BETA: splitting (17) gives:
% 196.33/33.27  | | | | | 
% 196.33/33.27  | | | | | Case 1:
% 196.33/33.27  | | | | | | 
% 196.33/33.27  | | | | | |   (89)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2,
% 196.33/33.27  | | | | | |             e1) = e2)
% 196.33/33.27  | | | | | | 
% 196.33/33.27  | | | | | | BETA: splitting (89) gives:
% 196.33/33.27  | | | | | | 
% 196.33/33.27  | | | | | | Case 1:
% 196.33/33.27  | | | | | | | 
% 196.33/33.27  | | | | | | |   (90)  all_56_4 = e2 & op(e3, e1) = e2
% 196.33/33.27  | | | | | | | 
% 196.33/33.27  | | | | | | | ALPHA: (90) implies:
% 196.33/33.27  | | | | | | |   (91)  all_56_4 = e2
% 196.33/33.27  | | | | | | | 
% 196.33/33.27  | | | | | | | BETA: splitting (37) gives:
% 196.33/33.27  | | | | | | | 
% 196.33/33.27  | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | 
% 196.33/33.27  | | | | | | | |   (92)  all_54_2 = e3
% 196.33/33.27  | | | | | | | | 
% 196.33/33.27  | | | | | | | | REF_CLOSE: (10), (20), (92) are inconsistent by sub-proof #1762.
% 196.33/33.27  | | | | | | | | 
% 196.33/33.27  | | | | | | | Case 2:
% 196.33/33.27  | | | | | | | | 
% 196.33/33.27  | | | | | | | |   (93)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.33/33.27  | | | | | | | | 
% 196.33/33.27  | | | | | | | | BETA: splitting (93) gives:
% 196.33/33.27  | | | | | | | | 
% 196.33/33.27  | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | |   (94)  all_54_2 = e2
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | COMBINE_EQS: (10), (94) imply:
% 196.33/33.27  | | | | | | | | |   (95)  all_52_8 = e2
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | REDUCE: (80), (95) imply:
% 196.33/33.27  | | | | | | | | |   (96)  $false
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | CLOSE: (96) is inconsistent.
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | Case 2:
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | |   (97)  all_54_2 = e1 | all_54_2 = e0
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | BETA: splitting (7) gives:
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | |   (98)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 &
% 196.33/33.27  | | | | | | | | | |           op(e3, e2) = e1)
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | REF_CLOSE: (10), (12), (13), (19), (29), (55), (81), (97),
% 196.33/33.27  | | | | | | | | | |            (98) are inconsistent by sub-proof #1002.
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | Case 2:
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | |   (99)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 &
% 196.33/33.27  | | | | | | | | | |           op(e3, e0) = e1)
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | REF_CLOSE: (12), (44), (47), (49), (91), (99) are
% 196.33/33.27  | | | | | | | | | |            inconsistent by sub-proof #920.
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | End of split
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | End of split
% 196.33/33.27  | | | | | | | | 
% 196.33/33.27  | | | | | | | End of split
% 196.33/33.27  | | | | | | | 
% 196.33/33.27  | | | | | | Case 2:
% 196.33/33.27  | | | | | | | 
% 196.33/33.27  | | | | | | |   (100)  all_56_5 = e2 & op(e2, e1) = e2
% 196.33/33.27  | | | | | | | 
% 196.33/33.27  | | | | | | | ALPHA: (100) implies:
% 196.33/33.27  | | | | | | |   (101)  all_56_5 = e2
% 196.33/33.27  | | | | | | | 
% 196.33/33.27  | | | | | | | BETA: splitting (18) gives:
% 196.33/33.27  | | | | | | | 
% 196.33/33.27  | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | 
% 196.33/33.27  | | | | | | | |   (102)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 &
% 196.33/33.27  | | | | | | | |            op(e2, e1) = e1)
% 196.33/33.27  | | | | | | | | 
% 196.33/33.27  | | | | | | | | BETA: splitting (102) gives:
% 196.33/33.27  | | | | | | | | 
% 196.33/33.27  | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | |   (103)  all_56_4 = e1 & op(e3, e1) = e1
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | ALPHA: (103) implies:
% 196.33/33.27  | | | | | | | | |   (104)  all_56_4 = e1
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | BETA: splitting (36) gives:
% 196.33/33.27  | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | |   (105)  all_54_7 = e3
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | COMBINE_EQS: (2), (105) imply:
% 196.33/33.27  | | | | | | | | | |   (106)  all_52_13 = e3
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | SIMP: (106) implies:
% 196.33/33.27  | | | | | | | | | |   (107)  all_52_13 = e3
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | REDUCE: (22), (107) imply:
% 196.33/33.27  | | | | | | | | | |   (108)  op(e2, e0) = e3
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | BETA: splitting (31) gives:
% 196.33/33.27  | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | |   (109)   ~ (all_36_2 = e0)
% 196.33/33.27  | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | REDUCE: (43), (109) imply:
% 196.33/33.27  | | | | | | | | | | |   (110)  $false
% 196.33/33.27  | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | CLOSE: (110) is inconsistent.
% 196.33/33.27  | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | Case 2:
% 196.33/33.27  | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | |   (111)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 196.33/33.27  | | | | | | | | | | |            & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 196.33/33.27  | | | | | | | | | | |            $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 196.33/33.27  | | | | | | | | | | |            = all_36_1 & $i(all_36_1))
% 196.33/33.27  | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | BETA: splitting (4) gives:
% 196.33/33.27  | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | |   (112)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 196.33/33.27  | | | | | | | | | | | |            & op(e2, e3) = e2)
% 196.33/33.27  | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | BETA: splitting (112) gives:
% 196.33/33.27  | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | |   (113)  all_56_0 = e2 & op(e3, e3) = e2
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | ALPHA: (113) implies:
% 196.33/33.27  | | | | | | | | | | | | |   (114)  op(e3, e3) = e2
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | REF_CLOSE: (11), (12), (29), (114) are inconsistent by
% 196.33/33.27  | | | | | | | | | | | | |            sub-proof #1957.
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | Case 2:
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | |   (115)  all_56_2 = e2 & op(e2, e3) = e2
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | ALPHA: (115) implies:
% 196.33/33.27  | | | | | | | | | | | | |   (116)  all_56_2 = e2
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | BETA: splitting (38) gives:
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | |   (117)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 196.33/33.27  | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 196.33/33.27  | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | | REF_CLOSE: (12), (44), (72), (75), (116), (117) are
% 196.33/33.27  | | | | | | | | | | | | | |            inconsistent by sub-proof #919.
% 196.33/33.27  | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | Case 2:
% 196.33/33.27  | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | |   (118)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 196.33/33.27  | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 196.33/33.27  | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | | REF_CLOSE: (12), (22), (25), (44), (101), (118) are
% 196.33/33.27  | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 196.33/33.27  | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | End of split
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | End of split
% 196.33/33.27  | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | Case 2:
% 196.33/33.27  | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | |   (119)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 196.33/33.27  | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 196.33/33.27  | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | BETA: splitting (119) gives:
% 196.33/33.27  | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | |   (120)  all_56_6 = e2 & op(e1, e3) = e2
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | ALPHA: (120) implies:
% 196.33/33.27  | | | | | | | | | | | | |   (121)  all_56_6 = e2
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | BETA: splitting (38) gives:
% 196.33/33.27  | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | |   (122)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 196.33/33.27  | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 196.33/33.27  | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 196.33/33.27  | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | | |   (123)  all_56_2 = e1 & op(e2, e3) = e1
% 196.33/33.27  | | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | | | ALPHA: (123) implies:
% 196.33/33.27  | | | | | | | | | | | | | | |   (124)  all_56_2 = e1
% 196.33/33.27  | | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 196.33/33.27  | | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | | | Case 1:
% 196.33/33.27  | | | | | | | | | | | | | | | | 
% 196.33/33.27  | | | | | | | | | | | | | | | |   (125)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.33/33.27  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.33/33.27  | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.33/33.27  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.27  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.27  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.33/33.28  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.28  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.33/33.28  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.28  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.33/33.28  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.28  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.28  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.28  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.33/33.28  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.33/33.28  | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.33/33.28  | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.28  | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.33/33.28  | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.33/33.28  | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.33/33.28  | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | |   (126)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.33/33.28  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.33/33.28  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | |   (127)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (14), (29), (34), (127) are
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1112.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | |   (128)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (129)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (130)  op(e3, e3) = e1
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (29), (55), (130) are inconsistent by
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (131)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | ALPHA: (131) implies:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (132)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (12), (29), (39), (55), (56), (57),
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            (121), (124), (132) are inconsistent by sub-proof
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            #917.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | |   (133)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.33/33.28  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.33/33.28  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | |   (134)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (29), (55), (57), (134) are
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #949.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | |   (135)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (33), (56), (72), (75), (135) are
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #916.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | |   (136)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.28  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.28  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.33/33.28  | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.33/33.28  | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.33/33.28  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.28  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.28  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.33/33.28  | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.33/33.28  | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.33/33.28  | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.33/33.28  | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.33/33.28  | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.28  | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.33/33.28  | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.33/33.28  | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.28  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.28  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.33/33.28  | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.28  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.28  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.33/33.28  | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.28  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.28  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.33/33.28  | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | |   (137)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.33/33.28  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.33/33.28  | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | |   (138)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (139)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (140)  op(e2, e0) = e2
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (108), (111), (140) are inconsistent
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            by sub-proof #1707.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (141)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (142)  op(e0, e0) = e2
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (44), (142) are inconsistent by
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            sub-proof #1780.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | |   (143)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (12), (23), (28), (143) are inconsistent
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            by sub-proof #1883.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | |   (144)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.33/33.28  | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.33/33.28  | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.33/33.28  | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.33/33.28  | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.28  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.28  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | |   (145)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (146)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (147)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (12), (29), (39), (55), (56), (57),
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            (121), (124), (147) are inconsistent by sub-proof
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            #917.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (148)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (149)  all_57_12 = e2
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (78), (149) imply:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (150)  e2 = e0
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (101), (150) imply:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |   (151)  all_56_5 = e0
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (17), (33), (42), (44), (55), (56),
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            (57), (104), (151) are inconsistent by sub-proof
% 196.33/33.28  | | | | | | | | | | | | | | | | | | |            #1554.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | |   (152)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.28  | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.28  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (33), (39), (152) are inconsistent by
% 196.33/33.28  | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 196.33/33.28  | | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | |   (153)  all_56_3 = e1 & op(e2, e2) = e1
% 196.33/33.28  | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 196.33/33.28  | | | | | | | | | | | | | | |   (154)  op(e2, e2) = e1
% 196.33/33.28  | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | REF_CLOSE: (12), (72), (75), (154) are inconsistent by
% 196.33/33.28  | | | | | | | | | | | | | | |            sub-proof #1890.
% 196.33/33.28  | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | |   (155)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 196.33/33.28  | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | REF_CLOSE: (12), (22), (25), (44), (101), (155) are
% 196.33/33.28  | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | |   (156)  all_56_12 = e2 & op(e0, e3) = e2
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | ALPHA: (156) implies:
% 196.33/33.28  | | | | | | | | | | | | |   (157)  all_56_12 = e2
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | COMBINE_EQS: (51), (157) imply:
% 196.33/33.28  | | | | | | | | | | | | |   (158)  e2 = e0
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | COMBINE_EQS: (101), (158) imply:
% 196.33/33.28  | | | | | | | | | | | | |   (159)  all_56_5 = e0
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | REF_CLOSE: (11), (12), (17), (33), (42), (44), (55), (56),
% 196.33/33.28  | | | | | | | | | | | | |            (57), (104), (159) are inconsistent by sub-proof
% 196.33/33.28  | | | | | | | | | | | | |            #1554.
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | |   (160)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.33/33.28  | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | REF_CLOSE: (2), (25), (83), (85), (160) are inconsistent by
% 196.33/33.28  | | | | | | | | | |            sub-proof #1375.
% 196.33/33.28  | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | |   (161)  all_56_5 = e1 & op(e2, e1) = e1
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | ALPHA: (161) implies:
% 196.33/33.28  | | | | | | | | |   (162)  all_56_5 = e1
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | REF_CLOSE: (44), (101), (162) are inconsistent by sub-proof
% 196.33/33.28  | | | | | | | | |            #1822.
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | 
% 196.33/33.28  | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | 
% 196.33/33.28  | | | | | | | |   (163)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 196.33/33.28  | | | | | | | |            op(e0, e1) = e1)
% 196.33/33.28  | | | | | | | | 
% 196.33/33.28  | | | | | | | | REF_CLOSE: (5), (12), (28), (33), (39), (163) are inconsistent
% 196.33/33.28  | | | | | | | |            by sub-proof #914.
% 196.33/33.28  | | | | | | | | 
% 196.33/33.28  | | | | | | | End of split
% 196.33/33.28  | | | | | | | 
% 196.33/33.28  | | | | | | End of split
% 196.33/33.28  | | | | | | 
% 196.33/33.28  | | | | | Case 2:
% 196.33/33.28  | | | | | | 
% 196.33/33.28  | | | | | |   (164)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 &
% 196.33/33.28  | | | | | |            op(e0, e1) = e2)
% 196.33/33.28  | | | | | | 
% 196.33/33.28  | | | | | | BETA: splitting (164) gives:
% 196.33/33.28  | | | | | | 
% 196.33/33.28  | | | | | | Case 1:
% 196.33/33.28  | | | | | | | 
% 196.33/33.28  | | | | | | |   (165)  all_56_8 = e2 & op(e1, e1) = e2
% 196.33/33.28  | | | | | | | 
% 196.33/33.28  | | | | | | | ALPHA: (165) implies:
% 196.33/33.28  | | | | | | |   (166)  op(e1, e1) = e2
% 196.33/33.28  | | | | | | | 
% 196.33/33.28  | | | | | | | REF_CLOSE: (12), (33), (56), (166) are inconsistent by sub-proof
% 196.33/33.28  | | | | | | |            #1821.
% 196.33/33.28  | | | | | | | 
% 196.33/33.28  | | | | | | Case 2:
% 196.33/33.28  | | | | | | | 
% 196.33/33.28  | | | | | | |   (167)  all_56_14 = e2 & op(e0, e1) = e2
% 196.33/33.28  | | | | | | | 
% 196.33/33.28  | | | | | | | ALPHA: (167) implies:
% 196.33/33.28  | | | | | | |   (168)  all_56_14 = e2
% 196.33/33.28  | | | | | | | 
% 196.33/33.28  | | | | | | | BETA: splitting (42) gives:
% 196.33/33.28  | | | | | | | 
% 196.33/33.28  | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | 
% 196.33/33.28  | | | | | | | |   (169)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 196.33/33.28  | | | | | | | |            op(e2, e1) = e3)
% 196.33/33.28  | | | | | | | | 
% 196.33/33.28  | | | | | | | | BETA: splitting (169) gives:
% 196.33/33.28  | | | | | | | | 
% 196.33/33.28  | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | |   (170)  all_56_4 = e3 & op(e3, e1) = e3
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | ALPHA: (170) implies:
% 196.33/33.28  | | | | | | | | |   (171)  op(e3, e1) = e3
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | REF_CLOSE: (12), (20), (52), (171) are inconsistent by
% 196.33/33.28  | | | | | | | | |            sub-proof #1759.
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | |   (172)  all_56_5 = e3 & op(e2, e1) = e3
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | ALPHA: (172) implies:
% 196.33/33.28  | | | | | | | | |   (173)  all_56_5 = e3
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | BETA: splitting (36) gives:
% 196.33/33.28  | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | |   (174)  all_54_7 = e3
% 196.33/33.28  | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | COMBINE_EQS: (2), (174) imply:
% 196.33/33.28  | | | | | | | | | |   (175)  all_52_13 = e3
% 196.33/33.28  | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | SIMP: (175) implies:
% 196.33/33.28  | | | | | | | | | |   (176)  all_52_13 = e3
% 196.33/33.28  | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | REDUCE: (22), (176) imply:
% 196.33/33.28  | | | | | | | | | |   (177)  op(e2, e0) = e3
% 196.33/33.28  | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | BETA: splitting (31) gives:
% 196.33/33.28  | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | |   (178)   ~ (all_36_2 = e0)
% 196.33/33.28  | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | REDUCE: (43), (178) imply:
% 196.33/33.28  | | | | | | | | | | |   (179)  $false
% 196.33/33.28  | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | CLOSE: (179) is inconsistent.
% 196.33/33.28  | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | |   (180)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0
% 196.33/33.28  | | | | | | | | | | |            & op(e2, e0) = all_36_1 & $i(all_36_0) &
% 196.33/33.28  | | | | | | | | | | |            $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0)
% 196.33/33.28  | | | | | | | | | | |            = all_36_1 & $i(all_36_1))
% 196.33/33.28  | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | BETA: splitting (4) gives:
% 196.33/33.28  | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | |   (181)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 196.33/33.28  | | | | | | | | | | | |            & op(e2, e3) = e2)
% 196.33/33.28  | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | BETA: splitting (181) gives:
% 196.33/33.28  | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | |   (182)  all_56_0 = e2 & op(e3, e3) = e2
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | ALPHA: (182) implies:
% 196.33/33.28  | | | | | | | | | | | | |   (183)  op(e3, e3) = e2
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | REF_CLOSE: (11), (12), (29), (183) are inconsistent by
% 196.33/33.28  | | | | | | | | | | | | |            sub-proof #1957.
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | |   (184)  all_56_2 = e2 & op(e2, e3) = e2
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | ALPHA: (184) implies:
% 196.33/33.28  | | | | | | | | | | | | |   (185)  all_56_2 = e2
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | BETA: splitting (38) gives:
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | |   (186)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 196.33/33.28  | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | REF_CLOSE: (12), (44), (72), (75), (185), (186) are
% 196.33/33.28  | | | | | | | | | | | | | |            inconsistent by sub-proof #919.
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | |   (187)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 196.33/33.28  | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | REF_CLOSE: (12), (22), (25), (55), (173), (187) are
% 196.33/33.28  | | | | | | | | | | | | | |            inconsistent by sub-proof #913.
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | End of split
% 196.33/33.28  | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | Case 2:
% 196.33/33.28  | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | |   (188)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 196.33/33.28  | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 196.33/33.28  | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | BETA: splitting (188) gives:
% 196.33/33.28  | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | |   (189)  all_56_6 = e2 & op(e1, e3) = e2
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | ALPHA: (189) implies:
% 196.33/33.28  | | | | | | | | | | | | |   (190)  all_56_6 = e2
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | BETA: splitting (38) gives:
% 196.33/33.28  | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | |   (191)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 196.33/33.28  | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 196.33/33.28  | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | |   (192)  all_56_2 = e1 & op(e2, e3) = e1
% 196.33/33.28  | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | ALPHA: (192) implies:
% 196.33/33.28  | | | | | | | | | | | | | | |   (193)  all_56_2 = e1
% 196.33/33.28  | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | |   (194)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 196.33/33.28  | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 196.33/33.28  | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 196.33/33.28  | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | |   (195)  all_56_9 = e2 & op(e3, e0) = e2
% 196.33/33.28  | | | | | | | | | | | | | | | | | 
% 196.33/33.28  | | | | | | | | | | | | | | | | | ALPHA: (195) implies:
% 196.33/33.28  | | | | | | | | | | | | | | | | |   (196)  all_56_9 = e2
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | | COMBINE_EQS: (58), (196) imply:
% 196.33/33.29  | | | | | | | | | | | | | | | | |   (197)  e2 = e0
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (197) imply:
% 196.33/33.29  | | | | | | | | | | | | | | | | |   (198)  all_56_6 = e0
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (12), (29), (44), (51), (56), (193),
% 196.33/33.29  | | | | | | | | | | | | | | | | |            (198) are inconsistent by sub-proof #1014.
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | |   (199)  all_56_10 = e2 & op(e2, e0) = e2
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 196.33/33.29  | | | | | | | | | | | | | | | | |   (200)  op(e2, e0) = e2
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (177), (180), (200) are inconsistent
% 196.33/33.29  | | | | | | | | | | | | | | | | |            by sub-proof #1707.
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | |   (201)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 196.33/33.29  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 196.33/33.29  | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 196.33/33.29  | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | Case 1:
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | |   (202)  all_56_11 = e2 & op(e1, e0) = e2
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 196.33/33.29  | | | | | | | | | | | | | | | | |   (203)  all_56_11 = e2
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (11), (12), (30), (39), (40), (44),
% 196.33/33.29  | | | | | | | | | | | | | | | | |            (45), (49), (55), (56), (57), (173), (193), (203)
% 196.33/33.29  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1083.
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | |   (204)  all_56_15 = e2 & op(e0, e0) = e2
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 196.33/33.29  | | | | | | | | | | | | | | | | |   (205)  op(e0, e0) = e2
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (44), (205) are inconsistent by
% 196.33/33.29  | | | | | | | | | | | | | | | | |            sub-proof #1780.
% 196.33/33.29  | | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | |   (206)  all_56_3 = e1 & op(e2, e2) = e1
% 196.33/33.29  | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 196.33/33.29  | | | | | | | | | | | | | | |   (207)  op(e2, e2) = e1
% 196.33/33.29  | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | | REF_CLOSE: (12), (72), (75), (207) are inconsistent by
% 196.33/33.29  | | | | | | | | | | | | | | |            sub-proof #1890.
% 196.33/33.29  | | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | |   (208)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 196.33/33.29  | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 196.33/33.29  | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | | REF_CLOSE: (12), (22), (25), (55), (173), (208) are
% 196.33/33.29  | | | | | | | | | | | | | |            inconsistent by sub-proof #913.
% 196.33/33.29  | | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | |   (209)  all_56_12 = e2 & op(e0, e3) = e2
% 196.33/33.29  | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | | REF_CLOSE: (51), (56), (209) are inconsistent by sub-proof
% 196.33/33.29  | | | | | | | | | | | | |            #1060.
% 196.33/33.29  | | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | |   (210)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.33/33.29  | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | | REF_CLOSE: (2), (25), (83), (85), (210) are inconsistent by
% 196.33/33.29  | | | | | | | | | |            sub-proof #1375.
% 196.33/33.29  | | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | |   (211)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 &
% 196.33/33.29  | | | | | | | |            op(e0, e1) = e3)
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | | REF_CLOSE: (11), (12), (33), (57), (168), (211) are inconsistent
% 196.33/33.29  | | | | | | | |            by sub-proof #912.
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | End of split
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | End of split
% 196.33/33.29  | | | | | | 
% 196.33/33.29  | | | | | End of split
% 196.33/33.29  | | | | | 
% 196.33/33.29  | | | | Case 2:
% 196.33/33.29  | | | | | 
% 196.33/33.29  | | | | |   (212)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.33/33.29  | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 196.33/33.29  | | | | |            & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10)
% 196.33/33.29  | | | | |            & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 196.33/33.29  | | | | |            (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 196.33/33.29  | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 196.33/33.29  | | | | |            = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.33/33.29  | | | | | 
% 196.33/33.29  | | | | | REF_CLOSE: (12), (30), (49), (212) are inconsistent by sub-proof
% 196.33/33.29  | | | | |            #1963.
% 196.33/33.29  | | | | | 
% 196.33/33.29  | | | | End of split
% 196.33/33.29  | | | | 
% 196.33/33.29  | | | End of split
% 196.33/33.29  | | | 
% 196.33/33.29  | | Case 2:
% 196.33/33.29  | | | 
% 196.33/33.29  | | |   (213)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.33/33.29  | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.33/33.29  | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.33/33.29  | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 196.33/33.29  | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.33/33.29  | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.33/33.29  | | |            e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 196.33/33.29  | | |            all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 196.33/33.29  | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.33/33.29  | | |            op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 196.33/33.29  | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.33/33.29  | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.33/33.29  | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.33/33.29  | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.33/33.29  | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.33/33.29  | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 196.33/33.29  | | |                & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.33/33.29  | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.33/33.29  | | |                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.33/33.29  | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.33/33.29  | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.33/33.29  | | |                op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.33/33.29  | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.33/33.29  | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 196.33/33.29  | | |                & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.33/33.29  | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.33/33.29  | | |                op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.33/33.29  | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.33/33.29  | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.33/33.29  | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.33/33.29  | | | 
% 196.33/33.29  | | | BETA: splitting (213) gives:
% 196.33/33.29  | | | 
% 196.33/33.29  | | | Case 1:
% 196.33/33.29  | | | | 
% 196.33/33.29  | | | |   (214)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.33/33.29  | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.33/33.29  | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.33/33.29  | | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 196.33/33.29  | | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.33/33.29  | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.33/33.29  | | | |            e1 & $i(all_57_9) & $i(all_57_14))
% 196.33/33.29  | | | | 
% 196.33/33.29  | | | | REF_CLOSE: (12), (29), (57), (214) are inconsistent by sub-proof #1960.
% 196.33/33.29  | | | | 
% 196.33/33.29  | | | Case 2:
% 196.33/33.29  | | | | 
% 196.33/33.29  | | | |   (215)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.33/33.29  | | | |            (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.33/33.29  | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.33/33.29  | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 196.33/33.29  | | | |            (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.33/33.29  | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0)
% 196.33/33.29  | | | |            = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.33/33.29  | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 196.33/33.29  | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.33/33.29  | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.33/33.29  | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.33/33.29  | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.33/33.29  | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.33/33.29  | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.33/33.29  | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.33/33.29  | | | |                op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.33/33.29  | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.33/33.29  | | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.33/33.29  | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.33/33.29  | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 196.33/33.29  | | | |                & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.33/33.29  | | | |                e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.33/33.29  | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.33/33.29  | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.33/33.29  | | | | 
% 196.33/33.29  | | | | BETA: splitting (215) gives:
% 196.33/33.29  | | | | 
% 196.33/33.29  | | | | Case 1:
% 196.33/33.29  | | | | | 
% 196.33/33.29  | | | | |   (216)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.33/33.29  | | | | |          (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.33/33.29  | | | | |          op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.33/33.29  | | | | |          $i(all_57_13)
% 196.33/33.29  | | | | | 
% 196.33/33.29  | | | | | ALPHA: (216) implies:
% 196.33/33.29  | | | | |   (217)   ~ (all_57_12 = e0)
% 196.33/33.29  | | | | |   (218)  op(e2, e2) = all_57_12
% 196.33/33.29  | | | | | 
% 196.33/33.29  | | | | | BETA: splitting (1) gives:
% 196.33/33.29  | | | | | 
% 196.33/33.29  | | | | | Case 1:
% 196.33/33.29  | | | | | | 
% 196.33/33.29  | | | | | |   (219)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 196.33/33.29  | | | | | |              e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 196.33/33.29  | | | | | |              e2) = all_57_12 & $i(all_57_12) & ((all_57_14 = e2 &
% 196.33/33.29  | | | | | |                op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.33/33.29  | | | | | |                all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.33/33.29  | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.33/33.29  | | | | | |                all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 196.33/33.29  | | | | | |            all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 &
% 196.33/33.29  | | | | | |            op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.33/33.29  | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.29  | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.33/33.29  | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 196.33/33.29  | | | | | |              | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.33/33.29  | | | | | |                $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.33/33.29  | | | | | |            all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 196.33/33.29  | | | | | |            op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14)
% 196.33/33.29  | | | | | |            & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.33/33.29  | | | | | |                  e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.33/33.29  | | | | | |            ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0)
% 196.33/33.29  | | | | | |                & op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_1
% 196.33/33.29  | | | | | |            = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.33/33.29  | | | | | |            all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1,
% 196.33/33.29  | | | | | |              e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2,
% 196.33/33.29  | | | | | |                  e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.33/33.29  | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0,
% 196.33/33.29  | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.33/33.29  | | | | | |                all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 &
% 196.33/33.29  | | | | | |            all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3,
% 196.33/33.29  | | | | | |              e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.33/33.29  | | | | | |            $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.29  | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.29  | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.33/33.29  | | | | | |              | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.29  | | | | | |                $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 196.33/33.29  | | | | | |            all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 196.33/33.29  | | | | | |            & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.33/33.29  | | | | | |            ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.33/33.29  | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.29  | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1)
% 196.33/33.29  | | | | | |                & op(e1, e3) = all_57_1 & $i(all_57_1)))) | (all_57_4
% 196.33/33.29  | | | | | |            = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.33/33.29  | | | | | |            op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 196.33/33.29  | | | | | |            all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.33/33.29  | | | | | |                = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.29  | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1)
% 196.33/33.29  | | | | | |              | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.33/33.29  | | | | | |                $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 &
% 196.33/33.29  | | | | | |            all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 196.33/33.29  | | | | | |            & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.33/33.29  | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.33/33.29  | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.29  | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0)
% 196.33/33.29  | | | | | |                & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.33/33.29  | | | | | | 
% 196.33/33.29  | | | | | | BETA: splitting (219) gives:
% 196.33/33.29  | | | | | | 
% 196.33/33.29  | | | | | | Case 1:
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | |   (220)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 196.33/33.29  | | | | | | |              e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 196.33/33.29  | | | | | | |              e2) = all_57_12 & $i(all_57_12) & ((all_57_14 = e2 &
% 196.33/33.29  | | | | | | |                op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.29  | | | | | | |                = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.33/33.29  | | | | | | |                op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.33/33.29  | | | | | | |                = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 196.33/33.29  | | | | | | |            all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10
% 196.33/33.29  | | | | | | |            & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.33/33.29  | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 196.33/33.29  | | | | | | |                ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.33/33.29  | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.33/33.29  | | | | | | |                e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.33/33.29  | | | | | | |                $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.33/33.29  | | | | | | |            all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 196.33/33.29  | | | | | | |            op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.33/33.29  | | | | | | |            $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 196.33/33.29  | | | | | | |                ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.29  | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 196.33/33.29  | | | | | | |                e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.33/33.29  | | | | | | |                $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 &
% 196.33/33.29  | | | | | | |            all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) =
% 196.33/33.29  | | | | | | |            e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10)
% 196.33/33.29  | | | | | | |            & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.33/33.29  | | | | | | |                  e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.29  | | | | | | |            ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 196.33/33.29  | | | | | | |                  e0) & op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | | REF_CLOSE: (8), (11), (12), (14), (21), (29), (34), (55), (220)
% 196.33/33.29  | | | | | | |            are inconsistent by sub-proof #910.
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | Case 2:
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | |   (221)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3,
% 196.33/33.29  | | | | | | |              e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 196.33/33.29  | | | | | | |              e0) = all_57_15 & $i(all_57_15) & ((all_57_12 = e0 &
% 196.33/33.29  | | | | | | |                op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.33/33.29  | | | | | | |                  e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 196.33/33.29  | | | | | | |                e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.33/33.29  | | | | | | |                op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 196.33/33.29  | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3,
% 196.33/33.29  | | | | | | |              e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.33/33.29  | | | | | | |            op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 196.33/33.29  | | | | | | |                op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.33/33.29  | | | | | | |                = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 196.33/33.29  | | | | | | |                op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.29  | | | | | | |                = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 &
% 196.33/33.29  | | | | | | |            all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.33/33.29  | | | | | | |            op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 196.33/33.29  | | | | | | |            all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3,
% 196.33/33.29  | | | | | | |                  e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.33/33.29  | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 196.33/33.29  | | | | | | |                op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 196.33/33.29  | | | | | | |                = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 &
% 196.33/33.29  | | | | | | |            all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.33/33.29  | | | | | | |            & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.33/33.29  | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | (
% 196.33/33.29  | | | | | | |                ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.33/33.29  | | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 196.33/33.29  | | | | | | |                e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.33/33.29  | | | | | | |                $i(all_57_5))))
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | | BETA: splitting (221) gives:
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | | Case 1:
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | |   (222)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.33/33.29  | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 196.33/33.29  | | | | | | | |            op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 196.33/33.29  | | | | | | | |                = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 196.33/33.29  | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 196.33/33.29  | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 196.33/33.29  | | | | | | | |                  = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.29  | | | | | | | |                $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0
% 196.33/33.29  | | | | | | | |            & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 196.33/33.29  | | | | | | | |              e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.33/33.29  | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.33/33.29  | | | | | | | |              ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.33/33.29  | | | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) =
% 196.33/33.29  | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 196.33/33.29  | | | | | | | |                & $i(all_57_1))))
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | | REF_CLOSE: (8), (12), (29), (55), (57), (222) are inconsistent
% 196.33/33.29  | | | | | | | |            by sub-proof #949.
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | |   (223)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.33/33.29  | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.33/33.29  | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10
% 196.33/33.29  | | | | | | | |                = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.33/33.29  | | | | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.29  | | | | | | | |            ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 196.33/33.29  | | | | | | | |                  e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.29  | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.33/33.29  | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2)
% 196.33/33.29  | | | | | | | |            = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 196.33/33.29  | | | | | | | |                = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.33/33.29  | | | | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.29  | | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 196.33/33.29  | | | | | | | |                  e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | | BETA: splitting (223) gives:
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | | Case 1:
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | |   (224)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.33/33.29  | | | | | | | | |          op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.33/33.29  | | | | | | | | |          op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10
% 196.33/33.29  | | | | | | | | |              = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.33/33.29  | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.29  | | | | | | | | |          ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 196.33/33.29  | | | | | | | | |                e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | ALPHA: (224) implies:
% 196.33/33.29  | | | | | | | | |   (225)  op(e2, e2) = e1
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | REF_CLOSE: (12), (39), (53), (225) are inconsistent by
% 196.33/33.29  | | | | | | | | |            sub-proof #1909.
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | |   (226)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.33/33.29  | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2)
% 196.33/33.29  | | | | | | | | |          = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 196.33/33.29  | | | | | | | | |              = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.33/33.29  | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.29  | | | | | | | | |          ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 196.33/33.29  | | | | | | | | |                e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | ALPHA: (226) implies:
% 196.33/33.29  | | | | | | | | |   (227)  op(e1, e1) = e2
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | REF_CLOSE: (12), (33), (56), (227) are inconsistent by
% 196.33/33.29  | | | | | | | | |            sub-proof #1821.
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | End of split
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | End of split
% 196.33/33.29  | | | | | | 
% 196.33/33.29  | | | | | Case 2:
% 196.33/33.29  | | | | | | 
% 196.33/33.29  | | | | | |   (228)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 196.33/33.29  | | | | | |              e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 196.33/33.29  | | | | | |              e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 196.33/33.29  | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 196.33/33.29  | | | | | |                all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.33/33.29  | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.33/33.29  | | | | | |                all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 196.33/33.29  | | | | | |            all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12
% 196.33/33.29  | | | | | |            & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.33/33.29  | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.29  | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.33/33.29  | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2)
% 196.33/33.29  | | | | | |              | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.29  | | | | | |                $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.33/33.29  | | | | | |            all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 &
% 196.33/33.29  | | | | | |            op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15)
% 196.33/33.29  | | | | | |            & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.33/33.29  | | | | | |                  e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.29  | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.33/33.29  | | | | | |                  e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.33/33.29  | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1,
% 196.33/33.29  | | | | | |              e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 196.33/33.29  | | | | | |            op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 &
% 196.33/33.29  | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.33/33.29  | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 196.33/33.29  | | | | | |                  e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.33/33.29  | | | | | |                all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 196.33/33.29  | | | | | |              e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.33/33.29  | | | | | |                (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.33/33.29  | | | | | |                $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 196.33/33.29  | | | | | |              | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.33/33.29  | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 196.33/33.29  | | | | | |              | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.33/33.29  | | | | | |                $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 196.33/33.29  | | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.33/33.29  | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.29  | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1)
% 196.33/33.29  | | | | | |                & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.33/33.29  | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0)
% 196.33/33.29  | | | | | |                & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.33/33.29  | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 196.33/33.29  | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.33/33.29  | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 196.33/33.29  | | | | | |                  e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.33/33.29  | | | | | |                all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.33/33.29  | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.33/33.29  | | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 196.33/33.29  | | | | | |              e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.33/33.29  | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.29  | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0)
% 196.33/33.29  | | | | | |              | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.29  | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.33/33.29  | | | | | |              | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.29  | | | | | |                $i(all_57_13))))
% 196.33/33.29  | | | | | | 
% 196.33/33.29  | | | | | | BETA: splitting (228) gives:
% 196.33/33.29  | | | | | | 
% 196.33/33.29  | | | | | | Case 1:
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | |   (229)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 196.33/33.29  | | | | | | |              e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 196.33/33.29  | | | | | | |              e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 196.33/33.29  | | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 196.33/33.29  | | | | | | |                = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.33/33.29  | | | | | | |                op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.29  | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 =
% 196.33/33.29  | | | | | | |            e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 196.33/33.29  | | | | | | |            all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.33/33.29  | | | | | | |              e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3,
% 196.33/33.29  | | | | | | |                  e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.33/33.29  | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 196.33/33.29  | | | | | | |                op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.33/33.29  | | | | | | |                = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 196.33/33.29  | | | | | | |            all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.33/33.29  | | | | | | |            op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) =
% 196.33/33.29  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 196.33/33.29  | | | | | | |                  e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 196.33/33.29  | | | | | | |                all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.33/33.29  | | | | | | |                op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.33/33.29  | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) | (all_57_8 =
% 196.33/33.29  | | | | | | |            e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.33/33.29  | | | | | | |            all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 196.33/33.29  | | | | | | |              e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3,
% 196.33/33.29  | | | | | | |                  e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.33/33.29  | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 196.33/33.29  | | | | | | |                op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.33/33.29  | | | | | | |                = all_57_7 & $i(all_57_7))))
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | | BETA: splitting (229) gives:
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | | Case 1:
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | |   (230)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.33/33.29  | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 196.33/33.29  | | | | | | | |            op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10
% 196.33/33.29  | | | | | | | |                = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.33/33.29  | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.29  | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 196.33/33.29  | | | | | | | |                  = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.29  | | | | | | | |                $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 =
% 196.33/33.29  | | | | | | | |            e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 196.33/33.29  | | | | | | | |              e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.33/33.29  | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.33/33.29  | | | | | | | |              ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.33/33.29  | | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) =
% 196.33/33.29  | | | | | | | |                e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 196.33/33.29  | | | | | | | |                & $i(all_57_4))))
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | | BETA: splitting (230) gives:
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | | Case 1:
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | |   (231)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.33/33.29  | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 196.33/33.29  | | | | | | | | |          op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10
% 196.33/33.29  | | | | | | | | |              = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.33/33.29  | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.29  | | | | | | | | |          ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 196.33/33.29  | | | | | | | | |                = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.29  | | | | | | | | |              $i(all_57_13)))
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | ALPHA: (231) implies:
% 196.33/33.29  | | | | | | | | |   (232)  all_57_12 = e0
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | REDUCE: (217), (232) imply:
% 196.33/33.29  | | | | | | | | |   (233)  $false
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | CLOSE: (233) is inconsistent.
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | |   (234)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.33/33.29  | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2)
% 196.33/33.29  | | | | | | | | |          = e0 & op(e0, e0) = e2 & $i(all_57_12) & ((all_57_10
% 196.33/33.29  | | | | | | | | |              = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.33/33.29  | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.29  | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.33/33.29  | | | | | | | | |                e1) & op(e1, e2) = all_57_4 & $i(all_57_4)))
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | ALPHA: (234) implies:
% 196.33/33.29  | | | | | | | | |   (235)  op(e0, e0) = e2
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | | REF_CLOSE: (8), (12), (44), (235) are inconsistent by
% 196.33/33.29  | | | | | | | | |            sub-proof #1780.
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.29  | | | | | | | | End of split
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | Case 2:
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | |   (236)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.33/33.29  | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.33/33.29  | | | | | | | |            op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10
% 196.33/33.29  | | | | | | | |                = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.33/33.29  | | | | | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.29  | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 196.33/33.29  | | | | | | | |                  = e2) & op(e2, e0) = all_57_11 &
% 196.33/33.29  | | | | | | | |                $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 196.33/33.29  | | | | | | | |            e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1,
% 196.33/33.29  | | | | | | | |              e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.33/33.29  | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.33/33.29  | | | | | | | |              ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.29  | | | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 196.33/33.29  | | | | | | | |                e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 196.33/33.29  | | | | | | | |                & $i(all_57_7))))
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | | REF_CLOSE: (3), (5), (12), (23), (28), (236) are inconsistent by
% 196.33/33.29  | | | | | | | |            sub-proof #1883.
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | End of split
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | Case 2:
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | |   (237)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 196.33/33.29  | | | | | | |                op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.33/33.29  | | | | | | |                = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 196.33/33.29  | | | | | | |                op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.33/33.29  | | | | | | |                = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 196.33/33.29  | | | | | | |                op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.33/33.29  | | | | | | |                = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 196.33/33.29  | | | | | | |            op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.33/33.29  | | | | | | |              ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.33/33.29  | | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) =
% 196.33/33.29  | | | | | | |                e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.33/33.29  | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 196.33/33.29  | | | | | | |                e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.33/33.29  | | | | | | |                $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1
% 196.33/33.29  | | | | | | |            & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.33/33.29  | | | | | | |                  e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.29  | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.33/33.29  | | | | | | |                  e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.33/33.29  | | | | | | |            ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 196.33/33.29  | | | | | | |                  e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.29  | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 &
% 196.33/33.29  | | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 196.33/33.29  | | | | | | |                = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.33/33.29  | | | | | | |                op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.33/33.29  | | | | | | |                  e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 196.33/33.29  | | | | | | |                e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 196.33/33.29  | | | | | | |                op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | | BETA: splitting (237) gives:
% 196.33/33.29  | | | | | | | 
% 196.33/33.29  | | | | | | | Case 1:
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | |   (238)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 196.33/33.29  | | | | | | | |                op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 196.33/33.29  | | | | | | | |                  e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 196.33/33.29  | | | | | | | |                e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.33/33.29  | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.33/33.29  | | | | | | | |            ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 196.33/33.29  | | | | | | | |                  e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.33/33.29  | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 &
% 196.33/33.29  | | | | | | | |                op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.33/33.29  | | | | | | | |                  e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 196.33/33.29  | | | | | | | |                e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.33/33.29  | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.33/33.29  | | | | | | | |            ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 196.33/33.29  | | | | | | | |                  e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | | BETA: splitting (238) gives:
% 196.33/33.29  | | | | | | | | 
% 196.33/33.29  | | | | | | | | Case 1:
% 196.33/33.29  | | | | | | | | | 
% 196.33/33.30  | | | | | | | | |   (239)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 196.33/33.30  | | | | | | | | |              op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 196.33/33.30  | | | | | | | | |                e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 196.33/33.30  | | | | | | | | |              e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.33/33.30  | | | | | | | | |              op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.33/33.30  | | | | | | | | |          ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 196.33/33.30  | | | | | | | | |                e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))
% 196.33/33.30  | | | | | | | | | 
% 196.33/33.30  | | | | | | | | | ALPHA: (239) implies:
% 196.33/33.30  | | | | | | | | |   (240)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 =
% 196.33/33.30  | | | | | | | | |              e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 196.33/33.30  | | | | | | | | | 
% 196.33/33.30  | | | | | | | | | REF_CLOSE: (8), (12), (21), (55), (240) are inconsistent by
% 196.33/33.30  | | | | | | | | |            sub-proof #911.
% 196.33/33.30  | | | | | | | | | 
% 196.33/33.30  | | | | | | | | Case 2:
% 196.33/33.30  | | | | | | | | | 
% 196.33/33.30  | | | | | | | | |   (241)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 &
% 196.33/33.30  | | | | | | | | |              op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.33/33.30  | | | | | | | | |                e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 196.33/33.30  | | | | | | | | |              e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.33/33.30  | | | | | | | | |              op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.33/33.30  | | | | | | | | |          ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 =
% 196.33/33.30  | | | | | | | | |                e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))
% 196.33/33.30  | | | | | | | | | 
% 196.33/33.30  | | | | | | | | | ALPHA: (241) implies:
% 196.33/33.30  | | | | | | | | |   (242)  all_57_12 = e2
% 196.33/33.30  | | | | | | | | | 
% 196.33/33.30  | | | | | | | | | REDUCE: (218), (242) imply:
% 196.33/33.30  | | | | | | | | |   (243)  op(e2, e2) = e2
% 196.33/33.30  | | | | | | | | | 
% 196.33/33.30  | | | | | | | | | REF_CLOSE: (12), (53), (56), (243) are inconsistent by
% 196.33/33.30  | | | | | | | | |            sub-proof #1939.
% 196.33/33.30  | | | | | | | | | 
% 196.33/33.30  | | | | | | | | End of split
% 196.33/33.30  | | | | | | | | 
% 196.33/33.30  | | | | | | | Case 2:
% 196.33/33.30  | | | | | | | | 
% 196.33/33.30  | | | | | | | |   (244)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 196.33/33.30  | | | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 196.33/33.30  | | | | | | | |                  e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 196.33/33.30  | | | | | | | |                e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.33/33.30  | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.33/33.30  | | | | | | | |            ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 =
% 196.33/33.30  | | | | | | | |                  e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.30  | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 &
% 196.33/33.30  | | | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 196.33/33.30  | | | | | | | |                  e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 196.33/33.30  | | | | | | | |                e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 196.33/33.30  | | | | | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 196.33/33.30  | | | | | | | |            ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13
% 196.33/33.30  | | | | | | | |                  = e1) & op(e1, e0) = all_57_13 &
% 196.33/33.30  | | | | | | | |                $i(all_57_13))))
% 196.33/33.30  | | | | | | | | 
% 196.33/33.30  | | | | | | | | REF_CLOSE: (8), (12), (33), (39), (244) are inconsistent by
% 196.33/33.30  | | | | | | | |            sub-proof #915.
% 196.33/33.30  | | | | | | | | 
% 196.33/33.30  | | | | | | | End of split
% 196.33/33.30  | | | | | | | 
% 196.33/33.30  | | | | | | End of split
% 196.33/33.30  | | | | | | 
% 196.33/33.30  | | | | | End of split
% 196.33/33.30  | | | | | 
% 196.33/33.30  | | | | Case 2:
% 196.33/33.30  | | | | | 
% 196.33/33.30  | | | | |   (245)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.33/33.30  | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.33/33.30  | | | | |            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11)
% 196.33/33.30  | | | | |            & $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15)
% 196.33/33.30  | | | | |            & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) & 
% 196.33/33.30  | | | | |                ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2)
% 196.33/33.30  | | | | |                = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.33/33.30  | | | | |                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.33/33.30  | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.33/33.30  | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.33/33.30  | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.33/33.30  | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.33/33.30  | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.33/33.30  | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.33/33.30  | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.33/33.30  | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.33/33.30  | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.33/33.30  | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.33/33.30  | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.33/33.30  | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.33/33.30  | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.33/33.30  | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 196.33/33.30  | | | | | 
% 196.33/33.30  | | | | | BETA: splitting (245) gives:
% 196.33/33.30  | | | | | 
% 196.33/33.30  | | | | | Case 1:
% 196.33/33.30  | | | | | | 
% 196.33/33.30  | | | | | |   (246)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.33/33.30  | | | | | |          (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.33/33.30  | | | | | |          & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11)
% 196.33/33.30  | | | | | |          & $i(all_57_14)
% 196.33/33.30  | | | | | | 
% 196.33/33.30  | | | | | | ALPHA: (246) implies:
% 196.33/33.30  | | | | | |   (247)  op(e1, e0) = e1
% 196.33/33.30  | | | | | | 
% 196.33/33.30  | | | | | | REF_CLOSE: (12), (23), (32), (247) are inconsistent by sub-proof
% 196.33/33.30  | | | | | |            #1958.
% 196.33/33.30  | | | | | | 
% 196.33/33.30  | | | | | Case 2:
% 196.33/33.30  | | | | | | 
% 196.33/33.30  | | | | | |   (248)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.33/33.30  | | | | | |              all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.33/33.30  | | | | | |                e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.33/33.30  | | | | | |              op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.33/33.30  | | | | | |              all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.33/33.30  | | | | | |                e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.33/33.30  | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.33/33.30  | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.33/33.30  | | | | | |                e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.33/33.30  | | | | | |              op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.33/33.30  | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.33/33.30  | | | | | |                e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.33/33.30  | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.33/33.30  | | | | | |              all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.33/33.30  | | | | | |                e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.33/33.30  | | | | | |              op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.33/33.30  | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.33/33.30  | | | | | |                e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.33/33.30  | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 196.33/33.30  | | | | | | 
% 196.33/33.30  | | | | | | ALPHA: (248) implies:
% 196.33/33.30  | | | | | |   (249)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.33/33.30  | | | | | |            (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.33/33.30  | | | | | |            e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.33/33.30  | | | | | |            all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 196.33/33.30  | | | | | |            & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 196.33/33.30  | | | | | |            e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.33/33.30  | | | | | |            (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.33/33.30  | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.33/33.30  | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.33/33.30  | | | | | |            (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.33/33.30  | | | | | |            e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.33/33.30  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 196.33/33.30  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.33/33.30  | | | | | |            e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.33/33.30  | | | | | |            (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.33/33.30  | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.33/33.30  | | | | | | 
% 196.33/33.30  | | | | | | REF_CLOSE: (11), (12), (14), (28), (29), (33), (34), (46), (55),
% 196.33/33.30  | | | | | |            (56), (57), (249) are inconsistent by sub-proof #1630.
% 196.33/33.30  | | | | | | 
% 196.33/33.30  | | | | | End of split
% 196.33/33.30  | | | | | 
% 196.33/33.30  | | | | End of split
% 196.33/33.30  | | | | 
% 196.33/33.30  | | | End of split
% 196.33/33.30  | | | 
% 196.33/33.30  | | End of split
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #910 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)  op(e0, e0) = e1
% 196.33/33.30    (2)   ~ (e3 = e2)
% 196.33/33.30    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (4)  op(e2, e2) = all_4_2
% 196.33/33.30    (5)  op(e0, e3) = e0
% 196.33/33.30    (6)  op(e3, e3) = e3
% 196.33/33.30    (7)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.33/33.30           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.33/33.30           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.33/33.30                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.33/33.30               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.33/33.30               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.33/33.30           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.33/33.30           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.33/33.30               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.33/33.30           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.33/33.30               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.33/33.30           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.33/33.30           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.33/33.30               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.33/33.30               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.33/33.30               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.30         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.33/33.30           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.33/33.30           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.33/33.30               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.33/33.30             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.33/33.30    (8)   ~ (all_4_2 = e3)
% 196.33/33.30    (9)   ~ (e3 = e1)
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (7) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (10)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.33/33.30  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.33/33.30  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.33/33.30  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.33/33.30  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.33/33.30  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 196.33/33.30  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.33/33.30  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 196.33/33.30  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.33/33.30  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.33/33.30  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.33/33.30  | |               $i(all_57_2))))
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (2), (3), (4), (6), (8), (10) are inconsistent by sub-proof
% 196.33/33.30  | |            #1112.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (11)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.33/33.30  | |           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.33/33.30  | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.30  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.33/33.30  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.30  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6
% 196.33/33.30  | |           = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.33/33.30  | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 =
% 196.33/33.30  | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.33/33.30  | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 196.33/33.30  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 196.33/33.30  | |               $i(all_57_2))))
% 196.33/33.30  | | 
% 196.33/33.30  | | BETA: splitting (11) gives:
% 196.33/33.30  | | 
% 196.33/33.30  | | Case 1:
% 196.33/33.30  | | | 
% 196.33/33.30  | | |   (12)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.33/33.30  | | |         op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.33/33.30  | | |         $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.30  | | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.33/33.30  | | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.30  | | |               e1) = all_57_8 & $i(all_57_8)))
% 196.33/33.30  | | | 
% 196.33/33.30  | | | ALPHA: (12) implies:
% 196.33/33.30  | | |   (13)  op(e3, e3) = e1
% 196.33/33.30  | | | 
% 196.33/33.30  | | | REF_CLOSE: (3), (6), (9), (13) are inconsistent by sub-proof #1966.
% 196.33/33.30  | | | 
% 196.33/33.30  | | Case 2:
% 196.33/33.30  | | | 
% 196.33/33.30  | | |   (14)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.33/33.30  | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.33/33.30  | | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.33/33.30  | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.33/33.30  | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.33/33.30  | | |               e3) = all_57_2 & $i(all_57_2)))
% 196.33/33.30  | | | 
% 196.33/33.30  | | | ALPHA: (14) implies:
% 196.33/33.30  | | |   (15)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.33/33.30  | | |             e3) = all_57_2 & $i(all_57_2))
% 196.33/33.30  | | | 
% 196.33/33.30  | | | REF_CLOSE: (1), (3), (5), (9), (15) are inconsistent by sub-proof #911.
% 196.33/33.30  | | | 
% 196.33/33.30  | | End of split
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #911 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)  op(e0, e0) = e1
% 196.33/33.30    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (3)  op(e0, e3) = e0
% 196.33/33.30    (4)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.33/33.30           all_57_2 & $i(all_57_2))
% 196.33/33.30    (5)   ~ (e3 = e1)
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (4) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (6)  all_57_15 = e3 & op(e0, e0) = e3
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (6) implies:
% 196.33/33.30  | |   (7)  op(e0, e0) = e3
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1392.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (8)   ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (8) implies:
% 196.33/33.30  | |   (9)   ~ (all_57_2 = e0)
% 196.33/33.30  | |   (10)  op(e0, e3) = all_57_2
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (2), (3), (9), (10) are inconsistent by sub-proof #1526.
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #912 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)   ~ (e3 = e2)
% 196.33/33.30    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (3)  all_56_14 = e2
% 196.33/33.30    (4)  op(e1, e1) = e0
% 196.33/33.30    (5)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.33/33.30    (6)   ~ (e3 = e0)
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (5) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (7) implies:
% 196.33/33.30  | |   (8)  op(e1, e1) = e3
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1824.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #1698.
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #913 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (2)  all_56_5 = e3
% 196.33/33.30    (3)  op(e2, e0) = all_52_13
% 196.33/33.30    (4)   ~ (all_52_13 = e1)
% 196.33/33.30    (5)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.33/33.30    (6)   ~ (e3 = e1)
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (5) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (7)  all_56_5 = e1 & op(e2, e1) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #1749.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (8)  all_56_10 = e1 & op(e2, e0) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (8) implies:
% 196.33/33.30  | |   (9)  op(e2, e0) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #1650.
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #914 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)   ~ (all_52_11 = e1)
% 196.33/33.30    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (3)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.33/33.30    (4)  op(e0, e1) = all_52_11
% 196.33/33.30    (5)  op(e1, e1) = e0
% 196.33/33.30    (6)   ~ (e1 = e0)
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (3) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (7) implies:
% 196.33/33.30  | |   (8)  op(e1, e1) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1959.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (9)  all_56_14 = e1 & op(e0, e1) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (9) implies:
% 196.33/33.30  | |   (10)  op(e0, e1) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1885.
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #915 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.33/33.30             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.33/33.30           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.33/33.30               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.33/33.30             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.33/33.30         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.33/33.30             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.33/33.30           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.33/33.30               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.33/33.30             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.33/33.30    (2)  op(e0, e0) = e1
% 196.33/33.30    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (4)  op(e1, e1) = e0
% 196.33/33.30    (5)   ~ (e1 = e0)
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (1) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (6)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 196.33/33.30  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.33/33.30  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.33/33.30  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.33/33.30  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.33/33.30  | |              e1) = all_57_8 & $i(all_57_8)))
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (6) implies:
% 196.33/33.30  | |   (7)  op(e1, e1) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #1959.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (8)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 196.33/33.30  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.33/33.30  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.33/33.30  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 196.33/33.30  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.33/33.30  | |              e0) = all_57_13 & $i(all_57_13)))
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (8) implies:
% 196.33/33.30  | |   (9)  op(e0, e0) = e0
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1943.
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #916 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (2)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.33/33.30           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.33/33.30           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.33/33.30                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 196.33/33.30               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.33/33.30               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.33/33.30           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 196.33/33.30           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.33/33.30               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.33/33.30           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.33/33.30               = all_57_5 & $i(all_57_5))))
% 196.33/33.30    (3)  op(e1, e1) = e0
% 196.33/33.30    (4)  op(e2, e2) = all_57_12
% 196.33/33.30    (5)   ~ (all_57_12 = e1)
% 196.33/33.30    (6)   ~ (e2 = e0)
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (2) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.33/33.30  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.33/33.30  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.33/33.30  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 196.33/33.30  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 196.33/33.30  | |            & $i(all_57_8)))
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (7) implies:
% 196.33/33.30  | |   (8)  op(e2, e2) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1890.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 196.33/33.30  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.33/33.30  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.33/33.30  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.33/33.30  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 196.33/33.30  | |            & $i(all_57_5)))
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (9) implies:
% 196.33/33.30  | |   (10)  op(e1, e1) = e2
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1821.
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #917 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)  op(e0, e0) = e1
% 196.33/33.30    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.33/33.30         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.33/33.30    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (4)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.33/33.30           all_57_2 & $i(all_57_2))
% 196.33/33.30    (5)  all_56_6 = e2
% 196.33/33.30    (6)  op(e3, e3) = e3
% 196.33/33.30    (7)   ~ (e1 = e0)
% 196.33/33.30    (8)  all_56_2 = e1
% 196.33/33.30    (9)   ~ (e3 = e1)
% 196.33/33.30    (10)   ~ (e2 = e0)
% 196.33/33.30    (11)   ~ (e3 = e0)
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (4) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (12)  all_57_15 = e3 & op(e0, e0) = e3
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (12) implies:
% 196.33/33.30  | |   (13)  op(e0, e0) = e3
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (1), (3), (9), (13) are inconsistent by sub-proof #1392.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (14)   ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (14) implies:
% 196.33/33.30  | |   (15)   ~ (all_57_2 = e0)
% 196.33/33.30  | |   (16)  op(e0, e3) = all_57_2
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (10), (11), (15), (16) are
% 196.33/33.30  | |            inconsistent by sub-proof #1088.
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #918 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (2)  op(e2, e0) = all_52_13
% 196.33/33.30    (3)   ~ (all_52_13 = e1)
% 196.33/33.30    (4)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.33/33.30    (5)   ~ (e2 = e1)
% 196.33/33.30    (6)  all_56_5 = e2
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (4) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (7)  all_56_5 = e1 & op(e2, e1) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (7) implies:
% 196.33/33.30  | |   (8)  all_56_5 = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | COMBINE_EQS: (6), (8) imply:
% 196.33/33.30  | |   (9)  e2 = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REDUCE: (5), (9) imply:
% 196.33/33.30  | |   (10)  $false
% 196.33/33.30  | | 
% 196.33/33.30  | | CLOSE: (10) is inconsistent.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (11)  all_56_10 = e1 & op(e2, e0) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (11) implies:
% 196.33/33.30  | |   (12)  op(e2, e0) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (1), (2), (3), (12) are inconsistent by sub-proof #1650.
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #919 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (2)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 196.33/33.30    (3)  op(e2, e2) = all_57_12
% 196.33/33.30    (4)   ~ (e2 = e1)
% 196.33/33.30    (5)  all_56_2 = e2
% 196.33/33.30    (6)   ~ (all_57_12 = e1)
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (2) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (7)  all_56_2 = e1 & op(e2, e3) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (7) implies:
% 196.33/33.30  | |   (8)  all_56_2 = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1855.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (9) implies:
% 196.33/33.30  | |   (10)  op(e2, e2) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1890.
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #920 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (2)  all_56_4 = e2
% 196.33/33.30    (3)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.33/33.30    (4)   ~ (e2 = e1)
% 196.33/33.30    (5)   ~ (all_52_12 = e1)
% 196.33/33.30    (6)  op(e3, e0) = all_52_12
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (3) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #1756.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (8)  all_56_9 = e1 & op(e3, e0) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (8) implies:
% 196.33/33.30  | |   (9)  op(e3, e0) = e1
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (1), (5), (6), (9) are inconsistent by sub-proof #1949.
% 196.33/33.30  | | 
% 196.33/33.30  | End of split
% 196.33/33.30  | 
% 196.33/33.30  End of proof
% 196.33/33.30  
% 196.33/33.30  Sub-proof #921 shows that the following formulas are inconsistent:
% 196.33/33.30  ----------------------------------------------------------------
% 196.33/33.30    (1)  op(e0, e0) = e1
% 196.33/33.30    (2)   ~ (e3 = e2)
% 196.33/33.30    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.30    (4)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 196.33/33.30             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 196.33/33.30           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 196.33/33.30           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 196.33/33.30             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 196.33/33.30             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 196.33/33.30           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.33/33.30           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.33/33.30           $i(all_57_7) & $i(all_57_10))
% 196.33/33.30    (5)  op(e3, e3) = e3
% 196.33/33.30    (6)   ~ (e1 = e0)
% 196.33/33.30    (7)   ~ (e2 = e1)
% 196.33/33.30    (8)  op(e2, e2) = e0
% 196.33/33.30  
% 196.33/33.30  Begin of proof
% 196.33/33.30  | 
% 196.33/33.30  | BETA: splitting (4) gives:
% 196.33/33.30  | 
% 196.33/33.30  | Case 1:
% 196.33/33.30  | | 
% 196.33/33.30  | |   (9)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 196.33/33.30  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 196.33/33.30  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 196.33/33.30  | | 
% 196.33/33.30  | | ALPHA: (9) implies:
% 196.33/33.30  | |   (10)  op(e3, e3) = e2
% 196.33/33.30  | | 
% 196.33/33.30  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1957.
% 196.33/33.30  | | 
% 196.33/33.30  | Case 2:
% 196.33/33.30  | | 
% 196.33/33.31  | |   (11)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.33/33.31  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.33/33.31  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.33/33.31  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.33/33.31  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.33/33.31  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.31  | | 
% 196.33/33.31  | | REF_CLOSE: (1), (3), (6), (7), (8), (11) are inconsistent by sub-proof #922.
% 196.33/33.31  | | 
% 196.33/33.31  | End of split
% 196.33/33.31  | 
% 196.33/33.31  End of proof
% 196.33/33.31  
% 196.33/33.31  Sub-proof #922 shows that the following formulas are inconsistent:
% 196.33/33.31  ----------------------------------------------------------------
% 196.33/33.31    (1)  op(e0, e0) = e1
% 196.33/33.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.31    (3)   ~ (e1 = e0)
% 196.33/33.31    (4)   ~ (e2 = e1)
% 196.33/33.31    (5)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.33/33.31             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.33/33.31           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.33/33.31           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 196.33/33.31           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 196.33/33.31           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.33/33.31    (6)  op(e2, e2) = e0
% 196.33/33.31  
% 196.33/33.31  Begin of proof
% 196.33/33.31  | 
% 196.33/33.31  | BETA: splitting (5) gives:
% 196.33/33.31  | 
% 196.33/33.31  | Case 1:
% 196.33/33.31  | | 
% 196.33/33.31  | |   (7)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.33/33.31  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.33/33.31  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 196.33/33.31  | | 
% 196.33/33.31  | | ALPHA: (7) implies:
% 196.33/33.31  | |   (8)  op(e0, e0) = e2
% 196.33/33.31  | | 
% 196.33/33.31  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1780.
% 196.33/33.31  | | 
% 196.33/33.31  | Case 2:
% 196.33/33.31  | | 
% 196.33/33.31  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 196.33/33.31  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.33/33.31  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 196.33/33.31  | | 
% 196.33/33.31  | | ALPHA: (9) implies:
% 196.33/33.31  | |   (10)  op(e2, e2) = e1
% 196.33/33.31  | | 
% 196.33/33.31  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1909.
% 196.33/33.31  | | 
% 196.33/33.31  | End of split
% 196.33/33.31  | 
% 196.33/33.31  End of proof
% 196.33/33.31  
% 196.33/33.31  Sub-proof #923 shows that the following formulas are inconsistent:
% 196.33/33.31  ----------------------------------------------------------------
% 196.33/33.31    (1)   ~ (e3 = e2)
% 196.33/33.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.31    (3)  op(e1, e3) = e1
% 196.33/33.31    (4)  op(e3, e3) = e3
% 196.33/33.31    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.33/33.31             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.33/33.31           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 196.33/33.31           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.33/33.31             e2) = e0 & $i(all_57_3))
% 196.33/33.31  
% 196.33/33.31  Begin of proof
% 196.33/33.31  | 
% 196.33/33.31  | BETA: splitting (5) gives:
% 196.33/33.31  | 
% 196.33/33.31  | Case 1:
% 196.33/33.31  | | 
% 196.33/33.31  | |   (6)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.33/33.31  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.33/33.31  | |        $i(all_57_1)
% 196.33/33.31  | | 
% 196.33/33.31  | | ALPHA: (6) implies:
% 196.33/33.31  | |   (7)   ~ (all_57_1 = e1)
% 196.33/33.31  | |   (8)  op(e1, e3) = all_57_1
% 196.33/33.31  | | 
% 196.33/33.31  | | REF_CLOSE: (2), (3), (7), (8) are inconsistent by sub-proof #1326.
% 196.33/33.31  | | 
% 196.33/33.31  | Case 2:
% 196.33/33.31  | | 
% 196.33/33.31  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.33/33.31  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.33/33.31  | |        $i(all_57_3)
% 196.33/33.31  | | 
% 196.33/33.31  | | ALPHA: (9) implies:
% 196.33/33.31  | |   (10)  op(e3, e3) = e2
% 196.33/33.31  | | 
% 196.33/33.31  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1957.
% 196.33/33.31  | | 
% 196.33/33.31  | End of split
% 196.33/33.31  | 
% 196.33/33.31  End of proof
% 196.33/33.31  
% 196.33/33.31  Sub-proof #924 shows that the following formulas are inconsistent:
% 196.33/33.31  ----------------------------------------------------------------
% 196.33/33.31    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.33/33.31         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.33/33.31    (2)   ~ (e3 = e2)
% 196.33/33.31    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.31    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.33/33.31         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.33/33.31    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.33/33.31         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.33/33.31    (6)  all_56_11 = e2
% 196.33/33.31    (7)  all_56_3 = e2
% 196.33/33.31    (8)  all_56_10 = e3
% 196.33/33.31    (9)  all_56_7 = e3
% 196.33/33.31    (10)  op(e1, e1) = e0
% 196.33/33.31    (11)  all_56_5 = e1
% 196.33/33.31    (12)   ~ (e1 = e0)
% 196.33/33.31    (13)  all_56_6 = e1
% 196.33/33.31    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.33/33.31          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.33/33.31    (15)  all_56_4 = e2
% 196.33/33.31    (16)  op(e2, e2) = all_57_12
% 196.33/33.31    (17)   ~ (e2 = e1)
% 196.33/33.31    (18)  op(e2, e2) = e2
% 196.33/33.31    (19)  op(e2, e2) = e0
% 196.33/33.31    (20)   ~ (e3 = e1)
% 196.33/33.31    (21)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.33/33.31          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.33/33.31    (22)   ~ (e2 = e0)
% 196.33/33.31    (23)   ~ (e3 = e0)
% 196.33/33.31  
% 196.33/33.31  Begin of proof
% 196.33/33.31  | 
% 196.33/33.31  | BETA: splitting (1) gives:
% 196.33/33.31  | 
% 196.33/33.31  | Case 1:
% 196.33/33.31  | | 
% 196.33/33.31  | |   (24)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 196.33/33.31  | |           e0)
% 196.33/33.31  | | 
% 196.33/33.31  | | BETA: splitting (24) gives:
% 196.33/33.31  | | 
% 196.33/33.31  | | Case 1:
% 196.33/33.31  | | | 
% 196.33/33.31  | | | 
% 196.33/33.31  | | | GROUND_INST: instantiating (3) with e2, all_57_12, e2, e2, simplifying
% 196.33/33.31  | | |              with (16), (18) gives:
% 196.33/33.31  | | |   (25)  all_57_12 = e2
% 196.33/33.31  | | | 
% 196.33/33.31  | | | GROUND_INST: instantiating (3) with e0, all_57_12, e2, e2, simplifying
% 196.33/33.31  | | |              with (16), (19) gives:
% 196.33/33.31  | | |   (26)  all_57_12 = e0
% 196.33/33.31  | | | 
% 196.33/33.31  | | | COMBINE_EQS: (25), (26) imply:
% 196.33/33.31  | | |   (27)  e2 = e0
% 196.33/33.31  | | | 
% 196.33/33.31  | | | REF_CLOSE: (2), (3), (4), (10), (11), (14), (15), (17), (20), (22), (23),
% 196.33/33.31  | | |            (27) are inconsistent by sub-proof #925.
% 196.33/33.31  | | | 
% 196.33/33.31  | | Case 2:
% 196.33/33.31  | | | 
% 196.33/33.31  | | |   (28)  all_56_3 = e0 & op(e2, e2) = e0
% 196.33/33.31  | | | 
% 196.33/33.31  | | | ALPHA: (28) implies:
% 196.33/33.31  | | |   (29)  all_56_3 = e0
% 196.33/33.31  | | | 
% 196.33/33.31  | | | COMBINE_EQS: (7), (29) imply:
% 196.33/33.31  | | |   (30)  e2 = e0
% 196.33/33.31  | | | 
% 196.33/33.31  | | | REF_CLOSE: (2), (3), (4), (10), (11), (14), (15), (17), (20), (22), (23),
% 196.33/33.31  | | |            (30) are inconsistent by sub-proof #925.
% 196.33/33.31  | | | 
% 196.33/33.31  | | End of split
% 196.33/33.31  | | 
% 196.33/33.31  | Case 2:
% 196.33/33.31  | | 
% 196.33/33.31  | |   (31)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.33/33.31  | |           e0)
% 196.33/33.31  | | 
% 196.33/33.31  | | BETA: splitting (31) gives:
% 196.33/33.31  | | 
% 196.33/33.31  | | Case 1:
% 196.33/33.31  | | | 
% 196.33/33.31  | | |   (32)  all_56_5 = e0 & op(e2, e1) = e0
% 196.33/33.31  | | | 
% 196.33/33.31  | | | ALPHA: (32) implies:
% 196.33/33.31  | | |   (33)  all_56_5 = e0
% 196.33/33.31  | | | 
% 196.33/33.31  | | | REF_CLOSE: (2), (3), (4), (5), (10), (12), (14), (17), (20), (22), (23),
% 196.33/33.31  | | |            (33) are inconsistent by sub-proof #1551.
% 196.33/33.31  | | | 
% 196.33/33.31  | | Case 2:
% 196.33/33.31  | | | 
% 196.33/33.31  | | |   (34)  all_56_10 = e0 & op(e2, e0) = e0
% 196.33/33.31  | | | 
% 196.33/33.31  | | | ALPHA: (34) implies:
% 196.33/33.31  | | |   (35)  all_56_10 = e0
% 196.33/33.31  | | | 
% 196.33/33.31  | | | COMBINE_EQS: (8), (35) imply:
% 196.33/33.31  | | |   (36)  e3 = e0
% 196.33/33.31  | | | 
% 196.33/33.31  | | | REF_CLOSE: (2), (3), (6), (9), (10), (13), (20), (21), (23), (36) are
% 196.33/33.31  | | |            inconsistent by sub-proof #926.
% 196.33/33.31  | | | 
% 196.33/33.31  | | End of split
% 196.33/33.31  | | 
% 196.33/33.31  | End of split
% 196.33/33.31  | 
% 196.33/33.31  End of proof
% 196.33/33.31  
% 196.33/33.31  Sub-proof #925 shows that the following formulas are inconsistent:
% 196.33/33.31  ----------------------------------------------------------------
% 196.33/33.31    (1)   ~ (e3 = e2)
% 196.33/33.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.31    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.33/33.31         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.33/33.31    (4)  op(e1, e1) = e0
% 196.33/33.31    (5)  e2 = e0
% 196.33/33.31    (6)  all_56_5 = e1
% 196.33/33.31    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.33/33.31         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.33/33.31    (8)  all_56_4 = e2
% 196.33/33.31    (9)   ~ (e2 = e1)
% 196.33/33.31    (10)   ~ (e3 = e1)
% 196.33/33.31    (11)   ~ (e2 = e0)
% 196.33/33.31    (12)   ~ (e3 = e0)
% 196.33/33.31  
% 196.33/33.31  Begin of proof
% 196.33/33.31  | 
% 196.33/33.31  | SIMP: (5) implies:
% 196.33/33.31  |   (13)  e2 = e0
% 196.33/33.31  | 
% 196.33/33.31  | COMBINE_EQS: (8), (13) imply:
% 196.33/33.31  |   (14)  all_56_4 = e0
% 196.33/33.31  | 
% 196.33/33.31  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (14) are
% 196.33/33.31  |            inconsistent by sub-proof #1817.
% 196.33/33.31  | 
% 196.33/33.31  End of proof
% 196.33/33.31  
% 196.33/33.31  Sub-proof #926 shows that the following formulas are inconsistent:
% 196.33/33.31  ----------------------------------------------------------------
% 196.33/33.31    (1)   ~ (e3 = e2)
% 196.33/33.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.33/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.33/33.31    (3)  all_56_11 = e2
% 196.33/33.31    (4)  all_56_7 = e3
% 196.33/33.31    (5)  op(e1, e1) = e0
% 196.33/33.31    (6)  all_56_6 = e1
% 196.33/33.31    (7)  e3 = e0
% 196.33/33.31    (8)   ~ (e3 = e1)
% 196.33/33.31    (9)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.33/33.31         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.33/33.31    (10)   ~ (e3 = e0)
% 196.33/33.31  
% 196.33/33.31  Begin of proof
% 196.33/33.31  | 
% 196.33/33.31  | SIMP: (7) implies:
% 196.33/33.31  |   (11)  e3 = e0
% 196.33/33.31  | 
% 196.33/33.31  | COMBINE_EQS: (4), (11) imply:
% 196.33/33.31  |   (12)  all_56_7 = e0
% 196.33/33.31  | 
% 196.41/33.31  | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10), (12) are inconsistent by
% 196.41/33.31  |            sub-proof #1524.
% 196.41/33.31  | 
% 196.41/33.31  End of proof
% 196.41/33.31  
% 196.41/33.31  Sub-proof #927 shows that the following formulas are inconsistent:
% 196.41/33.31  ----------------------------------------------------------------
% 196.41/33.31    (1)   ~ (e3 = e2)
% 196.41/33.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.31    (3)  op(e2, e2) = all_4_2
% 196.41/33.31    (4)  op(e1, e0) = all_52_14
% 196.41/33.31    (5)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 196.41/33.31             e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 196.41/33.31           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0,
% 196.41/33.31             e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 & 
% 196.41/33.31               ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.41/33.31               op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.41/33.31               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.41/33.31               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.41/33.31               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.41/33.31                 e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.41/33.31               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.41/33.31               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 196.41/33.31                 e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.41/33.31               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.41/33.31                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.41/33.31               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.41/33.31               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.41/33.31                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.41/33.31               $i(all_57_7))))
% 196.41/33.31    (6)  op(e0, e1) = all_52_11
% 196.41/33.31    (7)  op(e3, e3) = e3
% 196.41/33.31    (8)   ~ (all_52_14 = e1)
% 196.41/33.31    (9)  op(e1, e1) = e0
% 196.41/33.31    (10)   ~ (all_4_2 = e3)
% 196.41/33.31    (11)   ~ (all_52_11 = e0)
% 196.41/33.31    (12)   ~ (e3 = e1)
% 196.41/33.31    (13)   ~ (e2 = e0)
% 196.41/33.31    (14)   ~ (e3 = e0)
% 196.41/33.31  
% 196.41/33.31  Begin of proof
% 196.41/33.31  | 
% 196.41/33.31  | BETA: splitting (5) gives:
% 196.41/33.31  | 
% 196.41/33.31  | Case 1:
% 196.41/33.31  | | 
% 196.41/33.31  | |   (15)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.41/33.31  | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1,
% 196.41/33.31  | |           e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 196.41/33.31  | | 
% 196.41/33.31  | | ALPHA: (15) implies:
% 196.41/33.31  | |   (16)  op(e1, e0) = e1
% 196.41/33.31  | | 
% 196.41/33.31  | | REF_CLOSE: (2), (4), (8), (16) are inconsistent by sub-proof #1958.
% 196.41/33.31  | | 
% 196.41/33.31  | Case 2:
% 196.41/33.31  | | 
% 196.41/33.31  | |   (17)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 196.41/33.31  | |             = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.41/33.31  | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.41/33.31  | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.41/33.31  | |             (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.41/33.31  | |             op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.41/33.31  | |             e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.41/33.31  | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.41/33.31  | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.41/33.31  | |             (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.41/33.31  | |             op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 196.41/33.31  | |             e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.41/33.31  | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.41/33.31  | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.41/33.31  | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.41/33.31  | |             op(e0, e1) = e0 & $i(all_57_7)))
% 196.41/33.31  | | 
% 196.41/33.31  | | ALPHA: (17) implies:
% 196.41/33.31  | |   (18)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 196.41/33.31  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 196.41/33.31  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.41/33.31  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.41/33.31  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 196.41/33.31  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.41/33.31  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.41/33.31  | |           $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.41/33.31  | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.41/33.31  | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.41/33.31  | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.41/33.31  | |           & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.41/33.31  | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 196.41/33.31  | |             = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 196.41/33.31  | |           e0 & $i(all_57_7))
% 196.41/33.31  | | 
% 196.41/33.31  | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (11), (12), (13), (14), (18)
% 196.41/33.31  | |            are inconsistent by sub-proof #1630.
% 196.41/33.31  | | 
% 196.41/33.31  | End of split
% 196.41/33.31  | 
% 196.41/33.31  End of proof
% 196.41/33.31  
% 196.41/33.31  Sub-proof #928 shows that the following formulas are inconsistent:
% 196.41/33.31  ----------------------------------------------------------------
% 196.41/33.31    (1)  op(e0, e0) = e1
% 196.41/33.31    (2)   ~ (e3 = e2)
% 196.41/33.31    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.31    (4)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 196.41/33.31             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 196.41/33.31           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 196.41/33.31           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 196.41/33.31             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 196.41/33.31             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 196.41/33.31           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.41/33.31           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.41/33.31           $i(all_57_7) & $i(all_57_10))
% 196.41/33.31    (5)  op(e3, e3) = e3
% 196.41/33.31    (6)   ~ (e2 = e1)
% 196.41/33.31    (7)  op(e2, e2) = e2
% 196.41/33.31  
% 196.41/33.31  Begin of proof
% 196.41/33.31  | 
% 196.41/33.31  | BETA: splitting (4) gives:
% 196.41/33.31  | 
% 196.41/33.31  | Case 1:
% 196.41/33.31  | | 
% 196.41/33.31  | |   (8)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 196.41/33.31  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 196.41/33.31  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 196.41/33.31  | | 
% 196.41/33.31  | | ALPHA: (8) implies:
% 196.41/33.31  | |   (9)  op(e3, e3) = e2
% 196.41/33.31  | | 
% 196.41/33.31  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1957.
% 196.41/33.31  | | 
% 196.41/33.31  | Case 2:
% 196.41/33.31  | | 
% 196.41/33.31  | |   (10)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.41/33.31  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.41/33.31  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.41/33.31  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.41/33.31  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.41/33.31  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.41/33.31  | | 
% 196.41/33.31  | | REF_CLOSE: (1), (3), (6), (7), (10) are inconsistent by sub-proof #929.
% 196.41/33.31  | | 
% 196.41/33.31  | End of split
% 196.41/33.31  | 
% 196.41/33.31  End of proof
% 196.41/33.31  
% 196.41/33.31  Sub-proof #929 shows that the following formulas are inconsistent:
% 196.41/33.31  ----------------------------------------------------------------
% 196.41/33.31    (1)  op(e0, e0) = e1
% 196.41/33.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.31    (3)   ~ (e2 = e1)
% 196.41/33.31    (4)  op(e2, e2) = e2
% 196.41/33.31    (5)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.41/33.31             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.41/33.31           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.41/33.31           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 196.41/33.31           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 196.41/33.31           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.41/33.31  
% 196.41/33.31  Begin of proof
% 196.41/33.31  | 
% 196.41/33.31  | BETA: splitting (5) gives:
% 196.41/33.31  | 
% 196.41/33.31  | Case 1:
% 196.41/33.31  | | 
% 196.41/33.31  | |   (6)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.41/33.31  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.41/33.31  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 196.41/33.31  | | 
% 196.41/33.31  | | ALPHA: (6) implies:
% 196.41/33.31  | |   (7)  op(e0, e0) = e2
% 196.41/33.31  | | 
% 196.41/33.31  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1780.
% 196.41/33.31  | | 
% 196.41/33.31  | Case 2:
% 196.41/33.31  | | 
% 196.41/33.31  | |   (8)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 196.41/33.31  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.41/33.31  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 196.41/33.31  | | 
% 196.41/33.31  | | ALPHA: (8) implies:
% 196.41/33.31  | |   (9)  op(e2, e2) = e1
% 196.41/33.31  | | 
% 196.41/33.31  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1783.
% 196.41/33.31  | | 
% 196.41/33.31  | End of split
% 196.41/33.31  | 
% 196.41/33.31  End of proof
% 196.41/33.31  
% 196.41/33.31  Sub-proof #930 shows that the following formulas are inconsistent:
% 196.41/33.31  ----------------------------------------------------------------
% 196.41/33.31    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.41/33.31             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.41/33.31           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 196.41/33.31           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.41/33.31           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 196.41/33.31           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 196.41/33.31    (2)  op(e0, e0) = e1
% 196.41/33.31    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.31    (4)  op(e1, e1) = e0
% 196.41/33.31    (5)   ~ (e2 = e1)
% 196.41/33.31    (6)   ~ (e2 = e0)
% 196.41/33.31  
% 196.41/33.31  Begin of proof
% 196.41/33.31  | 
% 196.41/33.31  | BETA: splitting (1) gives:
% 196.41/33.31  | 
% 196.41/33.31  | Case 1:
% 196.41/33.31  | | 
% 196.41/33.31  | |   (7)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.41/33.31  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.41/33.31  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 196.41/33.31  | | 
% 196.41/33.31  | | ALPHA: (7) implies:
% 196.41/33.31  | |   (8)  op(e1, e1) = e2
% 196.41/33.31  | | 
% 196.41/33.31  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1821.
% 196.41/33.31  | | 
% 196.41/33.31  | Case 2:
% 196.41/33.31  | | 
% 196.41/33.31  | |   (9)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.41/33.31  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.41/33.31  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 196.41/33.31  | | 
% 196.41/33.31  | | ALPHA: (9) implies:
% 196.41/33.31  | |   (10)  op(e0, e0) = e2
% 196.41/33.31  | | 
% 196.41/33.31  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1780.
% 196.41/33.31  | | 
% 196.41/33.31  | End of split
% 196.41/33.31  | 
% 196.41/33.31  End of proof
% 196.41/33.31  
% 196.41/33.31  Sub-proof #931 shows that the following formulas are inconsistent:
% 196.41/33.31  ----------------------------------------------------------------
% 196.41/33.31    (1)  op(e0, e0) = e1
% 196.41/33.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.31    (3)  op(e2, e2) = all_4_2
% 196.41/33.31    (4)  op(e1, e1) = e0
% 196.41/33.31    (5)   ~ (all_4_2 = e3)
% 196.41/33.31    (6)   ~ (e3 = e1)
% 196.41/33.31    (7)   ~ (e3 = e0)
% 196.41/33.31    (8)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.41/33.31             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.41/33.31           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.41/33.31           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.41/33.31           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.41/33.31           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.41/33.31           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.41/33.31           = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 196.41/33.31           & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 196.41/33.31           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 196.41/33.31           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.41/33.31           $i(all_57_14))
% 196.41/33.31  
% 196.41/33.31  Begin of proof
% 196.41/33.31  | 
% 196.41/33.31  | BETA: splitting (8) gives:
% 196.41/33.31  | 
% 196.41/33.31  | Case 1:
% 196.41/33.31  | | 
% 196.41/33.31  | |   (9)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 196.41/33.31  | |            = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.41/33.31  | |          all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.41/33.31  | |        (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.41/33.31  | |            = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.41/33.31  | |          all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.41/33.31  | | 
% 196.41/33.31  | | BETA: splitting (9) gives:
% 196.41/33.31  | | 
% 196.41/33.31  | | Case 1:
% 196.41/33.31  | | | 
% 196.41/33.31  | | |   (10)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.41/33.31  | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.41/33.31  | | |         op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.41/33.31  | | |         $i(all_57_12)
% 196.41/33.31  | | | 
% 196.41/33.31  | | | ALPHA: (10) implies:
% 196.41/33.31  | | |   (11)  op(e1, e1) = e3
% 196.41/33.31  | | | 
% 196.41/33.31  | | | REF_CLOSE: (2), (4), (7), (11) are inconsistent by sub-proof #1824.
% 196.41/33.31  | | | 
% 196.41/33.31  | | Case 2:
% 196.41/33.31  | | | 
% 196.41/33.31  | | |   (12)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 196.41/33.31  | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.41/33.31  | | |         op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.41/33.31  | | |         $i(all_57_12)
% 196.41/33.31  | | | 
% 196.41/33.31  | | | ALPHA: (12) implies:
% 196.41/33.31  | | |   (13)  op(e0, e0) = e3
% 196.41/33.31  | | | 
% 196.41/33.31  | | | REF_CLOSE: (1), (2), (6), (13) are inconsistent by sub-proof #1392.
% 196.41/33.31  | | | 
% 196.41/33.31  | | End of split
% 196.41/33.31  | | 
% 196.41/33.31  | Case 2:
% 196.41/33.31  | | 
% 196.41/33.31  | |   (14)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 196.41/33.31  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 196.41/33.31  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.41/33.31  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 196.41/33.31  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.41/33.31  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.41/33.31  | | 
% 196.41/33.31  | | REF_CLOSE: (1), (2), (3), (5), (6), (14) are inconsistent by sub-proof #980.
% 196.41/33.31  | | 
% 196.41/33.31  | End of split
% 196.41/33.31  | 
% 196.41/33.31  End of proof
% 196.41/33.31  
% 196.41/33.31  Sub-proof #932 shows that the following formulas are inconsistent:
% 196.41/33.31  ----------------------------------------------------------------
% 196.41/33.31    (1)  all_54_10 = all_10_2
% 196.41/33.31    (2)  all_54_10 = e0
% 196.41/33.31    (3)   ~ (all_10_2 = e0)
% 196.41/33.31  
% 196.41/33.31  Begin of proof
% 196.41/33.31  | 
% 196.41/33.31  | COMBINE_EQS: (1), (2) imply:
% 196.41/33.31  |   (4)  all_10_2 = e0
% 196.41/33.31  | 
% 196.41/33.31  | SIMP: (4) implies:
% 196.41/33.31  |   (5)  all_10_2 = e0
% 196.41/33.31  | 
% 196.41/33.31  | REDUCE: (3), (5) imply:
% 196.41/33.31  |   (6)  $false
% 196.41/33.31  | 
% 196.41/33.31  | CLOSE: (6) is inconsistent.
% 196.41/33.31  | 
% 196.41/33.31  End of proof
% 196.41/33.31  
% 196.41/33.31  Sub-proof #933 shows that the following formulas are inconsistent:
% 196.41/33.31  ----------------------------------------------------------------
% 196.41/33.31    (1)  op(e0, e0) = e1
% 196.41/33.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.31    (3)  op(e3, e3) = e1
% 196.41/33.32    (4)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.41/33.32           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.41/33.32           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.41/33.32                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.41/33.32               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.41/33.32               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.41/33.32           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.41/33.32           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.41/33.32             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.41/33.32           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.41/33.32               = all_57_1 & $i(all_57_1))))
% 196.41/33.32    (5)   ~ (e1 = e0)
% 196.41/33.32    (6)   ~ (e3 = e1)
% 196.41/33.32  
% 196.41/33.32  Begin of proof
% 196.41/33.32  | 
% 196.41/33.32  | BETA: splitting (4) gives:
% 196.41/33.32  | 
% 196.41/33.32  | Case 1:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.41/33.32  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.41/33.32  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 196.41/33.32  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 196.41/33.32  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.41/33.32  | |            all_57_13 & $i(all_57_13)))
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (7) implies:
% 196.41/33.32  | |   (8)  op(e3, e3) = e0
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1937.
% 196.41/33.32  | | 
% 196.41/33.32  | Case 2:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 196.41/33.32  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.41/33.32  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.41/33.32  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.41/33.32  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 196.41/33.32  | |            & $i(all_57_1)))
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (9) implies:
% 196.41/33.32  | |   (10)  op(e0, e0) = e3
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1392.
% 196.41/33.32  | | 
% 196.41/33.32  | End of split
% 196.41/33.32  | 
% 196.41/33.32  End of proof
% 196.41/33.32  
% 196.41/33.32  Sub-proof #934 shows that the following formulas are inconsistent:
% 196.41/33.32  ----------------------------------------------------------------
% 196.41/33.32    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.41/33.32             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.41/33.32           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.41/33.32               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.41/33.32             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.41/33.32         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.41/33.32             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.41/33.32           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.41/33.32               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.41/33.32             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.41/33.32    (2)  op(e0, e0) = e1
% 196.41/33.32    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.32    (4)   ~ (all_57_10 = e1)
% 196.41/33.32    (5)   ~ (e1 = e0)
% 196.41/33.32    (6)  all_57_6 = e3
% 196.41/33.32  
% 196.41/33.32  Begin of proof
% 196.41/33.32  | 
% 196.41/33.32  | BETA: splitting (1) gives:
% 196.41/33.32  | 
% 196.41/33.32  | Case 1:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 196.41/33.32  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.41/33.32  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.41/33.32  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.41/33.32  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.41/33.32  | |              e1) = all_57_8 & $i(all_57_8)))
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (7) implies:
% 196.41/33.32  | |   (8)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.41/33.32  | |          = all_57_6 & $i(all_57_6))
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #935.
% 196.41/33.32  | | 
% 196.41/33.32  | Case 2:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 196.41/33.32  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.41/33.32  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.41/33.32  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 196.41/33.32  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.41/33.32  | |              e0) = all_57_13 & $i(all_57_13)))
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (9) implies:
% 196.41/33.32  | |   (10)  op(e0, e0) = e0
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1943.
% 196.41/33.32  | | 
% 196.41/33.32  | End of split
% 196.41/33.32  | 
% 196.41/33.32  End of proof
% 196.41/33.32  
% 196.41/33.32  Sub-proof #935 shows that the following formulas are inconsistent:
% 196.41/33.32  ----------------------------------------------------------------
% 196.41/33.32    (1)  (all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.41/33.32           all_57_6 & $i(all_57_6))
% 196.41/33.32    (2)   ~ (all_57_10 = e1)
% 196.41/33.32    (3)  all_57_6 = e3
% 196.41/33.32  
% 196.41/33.32  Begin of proof
% 196.41/33.32  | 
% 196.41/33.32  | BETA: splitting (1) gives:
% 196.41/33.32  | 
% 196.41/33.32  | Case 1:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (4)  all_57_10 = e1 & op(e3, e3) = e1
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (4) implies:
% 196.41/33.32  | |   (5)  all_57_10 = e1
% 196.41/33.32  | | 
% 196.41/33.32  | | REDUCE: (2), (5) imply:
% 196.41/33.32  | |   (6)  $false
% 196.41/33.32  | | 
% 196.41/33.32  | | CLOSE: (6) is inconsistent.
% 196.41/33.32  | | 
% 196.41/33.32  | Case 2:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (7)   ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (7) implies:
% 196.41/33.32  | |   (8)   ~ (all_57_6 = e3)
% 196.41/33.32  | | 
% 196.41/33.32  | | REDUCE: (3), (8) imply:
% 196.41/33.32  | |   (9)  $false
% 196.41/33.32  | | 
% 196.41/33.32  | | CLOSE: (9) is inconsistent.
% 196.41/33.32  | | 
% 196.41/33.32  | End of split
% 196.41/33.32  | 
% 196.41/33.32  End of proof
% 196.41/33.32  
% 196.41/33.32  Sub-proof #936 shows that the following formulas are inconsistent:
% 196.41/33.32  ----------------------------------------------------------------
% 196.41/33.32    (1)  op(e0, e0) = e1
% 196.41/33.32    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.32    (3)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.41/33.32           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.41/33.32           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.41/33.32                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.41/33.32               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.41/33.32               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.41/33.32           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.41/33.32             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.41/33.32               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.41/33.32           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.41/33.32               = all_57_4 & $i(all_57_4))))
% 196.41/33.32    (4)  op(e2, e2) = e1
% 196.41/33.32    (5)   ~ (e1 = e0)
% 196.41/33.32    (6)   ~ (e2 = e1)
% 196.41/33.32  
% 196.41/33.32  Begin of proof
% 196.41/33.32  | 
% 196.41/33.32  | BETA: splitting (3) gives:
% 196.41/33.32  | 
% 196.41/33.32  | Case 1:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (7)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.41/33.32  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.41/33.32  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.41/33.32  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 196.41/33.32  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.41/33.32  | |            all_57_13 & $i(all_57_13)))
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (7) implies:
% 196.41/33.32  | |   (8)  op(e2, e2) = e0
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1909.
% 196.41/33.32  | | 
% 196.41/33.32  | Case 2:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (9)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 196.41/33.32  | |        all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.41/33.32  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.41/33.32  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.41/33.32  | |            & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 196.41/33.32  | |            & $i(all_57_4)))
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (9) implies:
% 196.41/33.32  | |   (10)  op(e0, e0) = e2
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1780.
% 196.41/33.32  | | 
% 196.41/33.32  | End of split
% 196.41/33.32  | 
% 196.41/33.32  End of proof
% 196.41/33.32  
% 196.41/33.32  Sub-proof #937 shows that the following formulas are inconsistent:
% 196.41/33.32  ----------------------------------------------------------------
% 196.41/33.32    (1)  op(e1, e1) = e1
% 196.41/33.32    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.32    (3)   ~ (all_57_10 = e1)
% 196.41/33.32    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.41/33.32           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.41/33.32           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.41/33.32                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 196.41/33.32               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.41/33.32               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.41/33.32           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 196.41/33.32           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.41/33.32               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.41/33.32           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.41/33.32               = all_57_2 & $i(all_57_2))))
% 196.41/33.32    (5)   ~ (e3 = e1)
% 196.41/33.32  
% 196.41/33.32  Begin of proof
% 196.41/33.32  | 
% 196.41/33.32  | BETA: splitting (4) gives:
% 196.41/33.32  | 
% 196.41/33.32  | Case 1:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (6)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 196.41/33.32  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.41/33.32  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 196.41/33.32  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 196.41/33.32  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 196.41/33.32  | |            & $i(all_57_8)))
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (6) implies:
% 196.41/33.32  | |   (7)  all_57_10 = e1
% 196.41/33.32  | | 
% 196.41/33.32  | | REDUCE: (3), (7) imply:
% 196.41/33.32  | |   (8)  $false
% 196.41/33.32  | | 
% 196.41/33.32  | | CLOSE: (8) is inconsistent.
% 196.41/33.32  | | 
% 196.41/33.32  | Case 2:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 196.41/33.32  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.41/33.32  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.41/33.32  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.41/33.32  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 196.41/33.32  | |            & $i(all_57_2)))
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (9) implies:
% 196.41/33.32  | |   (10)  op(e1, e1) = e3
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1978.
% 196.41/33.32  | | 
% 196.41/33.32  | End of split
% 196.41/33.32  | 
% 196.41/33.32  End of proof
% 196.41/33.32  
% 196.41/33.32  Sub-proof #938 shows that the following formulas are inconsistent:
% 196.41/33.32  ----------------------------------------------------------------
% 196.41/33.32    (1)  op(e0, e0) = e1
% 196.41/33.32    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.32    (3)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 196.41/33.32             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.41/33.32           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 196.41/33.32           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 196.41/33.32             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 196.41/33.32             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.41/33.32    (4)  op(e2, e2) = e1
% 196.41/33.32    (5)   ~ (e3 = e1)
% 196.41/33.32  
% 196.41/33.32  Begin of proof
% 196.41/33.32  | 
% 196.41/33.32  | BETA: splitting (3) gives:
% 196.41/33.32  | 
% 196.41/33.32  | Case 1:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (6)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 196.41/33.32  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.41/33.32  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (6) implies:
% 196.41/33.32  | |   (7)  op(e2, e2) = e3
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1679.
% 196.41/33.32  | | 
% 196.41/33.32  | Case 2:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (8)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 196.41/33.32  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.41/33.32  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (8) implies:
% 196.41/33.32  | |   (9)  op(e0, e0) = e3
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1392.
% 196.41/33.32  | | 
% 196.41/33.32  | End of split
% 196.41/33.32  | 
% 196.41/33.32  End of proof
% 196.41/33.32  
% 196.41/33.32  Sub-proof #939 shows that the following formulas are inconsistent:
% 196.41/33.32  ----------------------------------------------------------------
% 196.41/33.32    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.32    (2)   ~ (all_52_9 = e1)
% 196.41/33.32    (3)  op(e2, e0) = all_52_13
% 196.41/33.32    (4)   ~ (all_52_13 = e1)
% 196.41/33.32    (5)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.41/33.32    (6)  op(e2, e1) = all_52_9
% 196.41/33.32  
% 196.41/33.32  Begin of proof
% 196.41/33.32  | 
% 196.41/33.32  | BETA: splitting (5) gives:
% 196.41/33.32  | 
% 196.41/33.32  | Case 1:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (7)  all_56_5 = e1 & op(e2, e1) = e1
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (7) implies:
% 196.41/33.32  | |   (8)  op(e2, e1) = e1
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1755.
% 196.41/33.32  | | 
% 196.41/33.32  | Case 2:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (9)  all_56_10 = e1 & op(e2, e0) = e1
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (9) implies:
% 196.41/33.32  | |   (10)  op(e2, e0) = e1
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1650.
% 196.41/33.32  | | 
% 196.41/33.32  | End of split
% 196.41/33.32  | 
% 196.41/33.32  End of proof
% 196.41/33.32  
% 196.41/33.32  Sub-proof #940 shows that the following formulas are inconsistent:
% 196.41/33.32  ----------------------------------------------------------------
% 196.41/33.32    (1)  op(e1, e1) = e1
% 196.41/33.32    (2)  all_56_1 = e1
% 196.41/33.32    (3)  all_54_7 = all_52_13
% 196.41/33.32    (4)   ~ (all_52_13 = e2)
% 196.41/33.32    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.32    (6)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) = all_14_1
% 196.41/33.32           & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e0, e1) =
% 196.41/33.32           all_14_1 & $i(all_14_1))
% 196.41/33.32    (7)  all_56_5 = e3
% 196.41/33.32    (8)  op(e2, e0) = e0
% 196.41/33.32    (9)  op(e0, e1) = e2
% 196.41/33.32    (10)  all_56_14 = e2
% 196.41/33.32    (11)  op(e0, e1) = all_16_1
% 196.41/33.32    (12)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.41/33.32    (13)   ~ (all_52_14 = e2)
% 196.41/33.32    (14)  op(e2, e0) = all_52_13
% 196.41/33.32    (15)  all_54_8 = all_52_2
% 196.41/33.32    (16)   ~ (all_52_13 = e1)
% 196.41/33.32    (17)   ~ (all_52_2 = all_52_14)
% 196.41/33.32    (18)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.32          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.32    (19)  op(e3, e3) = e3
% 196.41/33.32    (20)   ~ (all_52_2 = e3)
% 196.41/33.32    (21)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.41/33.32            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.41/33.32              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.41/33.32    (22)   ~ (all_4_2 = e1)
% 196.41/33.32    (23)   ~ (all_52_14 = e1)
% 196.41/33.32    (24)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.41/33.32    (25)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.32          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.32    (26)  all_54_11 = all_52_14
% 196.41/33.32    (27)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.41/33.32    (28)  all_54_5 = all_4_2
% 196.41/33.32    (29)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.32          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.32    (30)  op(e0, e1) = e3
% 196.41/33.32    (31)   ~ (all_52_13 = all_52_14)
% 196.41/33.32    (32)   ~ (all_52_13 = all_4_2)
% 196.41/33.32    (33)   ~ (all_52_2 = e1)
% 196.41/33.32    (34)  all_36_2 = all_4_2
% 196.41/33.32    (35)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.41/33.32    (36)   ~ (all_4_2 = e2)
% 196.41/33.32  
% 196.41/33.32  Begin of proof
% 196.41/33.32  | 
% 196.41/33.32  | BETA: splitting (6) gives:
% 196.41/33.32  | 
% 196.41/33.32  | Case 1:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (37)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) =
% 196.41/33.32  | |         all_14_1 & $i(all_14_0) & $i(all_14_1)
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (37) implies:
% 196.41/33.32  | |   (38)  op(e0, e1) = all_14_1
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 196.41/33.32  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 196.41/33.32  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 196.41/33.32  | |            (36), (38) are inconsistent by sub-proof #941.
% 196.41/33.32  | | 
% 196.41/33.32  | Case 2:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (39)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 & $i(all_14_1)
% 196.41/33.32  | | 
% 196.41/33.32  | | ALPHA: (39) implies:
% 196.41/33.32  | |   (40)  op(e0, e1) = all_14_1
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 196.41/33.32  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 196.41/33.32  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 196.41/33.32  | |            (36), (40) are inconsistent by sub-proof #941.
% 196.41/33.32  | | 
% 196.41/33.32  | End of split
% 196.41/33.32  | 
% 196.41/33.32  End of proof
% 196.41/33.32  
% 196.41/33.32  Sub-proof #941 shows that the following formulas are inconsistent:
% 196.41/33.32  ----------------------------------------------------------------
% 196.41/33.32    (1)  op(e1, e1) = e1
% 196.41/33.32    (2)  all_56_1 = e1
% 196.41/33.32    (3)  all_54_7 = all_52_13
% 196.41/33.32    (4)   ~ (all_52_13 = e2)
% 196.41/33.32    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.32    (6)  all_56_5 = e3
% 196.41/33.32    (7)  op(e2, e0) = e0
% 196.41/33.32    (8)  op(e0, e1) = e2
% 196.41/33.32    (9)  all_56_14 = e2
% 196.41/33.32    (10)  op(e0, e1) = all_16_1
% 196.41/33.32    (11)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.41/33.32    (12)   ~ (all_52_14 = e2)
% 196.41/33.32    (13)  op(e2, e0) = all_52_13
% 196.41/33.32    (14)  all_54_8 = all_52_2
% 196.41/33.32    (15)   ~ (all_52_13 = e1)
% 196.41/33.32    (16)   ~ (all_52_2 = all_52_14)
% 196.41/33.32    (17)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.32          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.32    (18)  op(e3, e3) = e3
% 196.41/33.32    (19)   ~ (all_52_2 = e3)
% 196.41/33.32    (20)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.41/33.32            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.41/33.32              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.41/33.32    (21)   ~ (all_4_2 = e1)
% 196.41/33.32    (22)   ~ (all_52_14 = e1)
% 196.41/33.32    (23)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.41/33.32    (24)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.32          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.32    (25)  all_54_11 = all_52_14
% 196.41/33.32    (26)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.41/33.32    (27)  all_54_5 = all_4_2
% 196.41/33.32    (28)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.32          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.32    (29)  op(e0, e1) = e3
% 196.41/33.32    (30)   ~ (all_52_13 = all_52_14)
% 196.41/33.32    (31)  op(e0, e1) = all_14_1
% 196.41/33.32    (32)   ~ (all_52_13 = all_4_2)
% 196.41/33.32    (33)   ~ (all_52_2 = e1)
% 196.41/33.32    (34)  all_36_2 = all_4_2
% 196.41/33.32    (35)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.41/33.32    (36)   ~ (all_4_2 = e2)
% 196.41/33.32  
% 196.41/33.32  Begin of proof
% 196.41/33.32  | 
% 196.41/33.32  | BETA: splitting (35) gives:
% 196.41/33.32  | 
% 196.41/33.32  | Case 1:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (37)  all_54_5 = e2
% 196.41/33.32  | | 
% 196.41/33.32  | | REF_CLOSE: (27), (36), (37) are inconsistent by sub-proof #1106.
% 196.41/33.32  | | 
% 196.41/33.32  | Case 2:
% 196.41/33.32  | | 
% 196.41/33.32  | |   (38)  all_54_5 = e1 | all_54_5 = e0
% 196.41/33.32  | | 
% 196.41/33.32  | | BETA: splitting (38) gives:
% 196.41/33.32  | | 
% 196.41/33.32  | | Case 1:
% 196.41/33.32  | | | 
% 196.41/33.32  | | |   (39)  all_54_5 = e1
% 196.41/33.32  | | | 
% 196.41/33.32  | | | REF_CLOSE: (21), (27), (39) are inconsistent by sub-proof #1089.
% 196.41/33.32  | | | 
% 196.41/33.32  | | Case 2:
% 196.41/33.32  | | | 
% 196.41/33.32  | | |   (40)  all_54_5 = e0
% 196.41/33.32  | | | 
% 196.41/33.32  | | | COMBINE_EQS: (27), (40) imply:
% 196.41/33.32  | | |   (41)  all_4_2 = e0
% 196.41/33.32  | | | 
% 196.41/33.32  | | | SIMP: (41) implies:
% 196.41/33.32  | | |   (42)  all_4_2 = e0
% 196.41/33.32  | | | 
% 196.41/33.32  | | | COMBINE_EQS: (34), (42) imply:
% 196.41/33.32  | | |   (43)  all_36_2 = e0
% 196.41/33.32  | | | 
% 196.41/33.32  | | | REDUCE: (32), (42) imply:
% 196.41/33.32  | | |   (44)   ~ (all_52_13 = e0)
% 196.41/33.32  | | | 
% 196.41/33.32  | | | BETA: splitting (26) gives:
% 196.41/33.32  | | | 
% 196.41/33.32  | | | Case 1:
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | |   (45)  all_54_7 = e3
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | | COMBINE_EQS: (3), (45) imply:
% 196.41/33.32  | | | |   (46)  all_52_13 = e3
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | | SIMP: (46) implies:
% 196.41/33.32  | | | |   (47)  all_52_13 = e3
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | | REDUCE: (30), (47) imply:
% 196.41/33.32  | | | |   (48)   ~ (all_52_14 = e3)
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | | SIMP: (48) implies:
% 196.41/33.32  | | | |   (49)   ~ (all_52_14 = e3)
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | | REDUCE: (15), (47) imply:
% 196.41/33.32  | | | |   (50)   ~ (e3 = e1)
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | | REDUCE: (13), (47) imply:
% 196.41/33.32  | | | |   (51)  op(e2, e0) = e3
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | | BETA: splitting (20) gives:
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | | Case 1:
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | |   (52)   ~ (all_36_2 = e0)
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | | REDUCE: (43), (52) imply:
% 196.41/33.32  | | | | |   (53)  $false
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | | CLOSE: (53) is inconsistent.
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | Case 2:
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | |   (54)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0)
% 196.41/33.32  | | | | |           = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.41/33.32  | | | | |             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | | BETA: splitting (11) gives:
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | | Case 1:
% 196.41/33.32  | | | | | | 
% 196.41/33.32  | | | | | |   (55)  all_54_11 = e3
% 196.41/33.32  | | | | | | 
% 196.41/33.32  | | | | | | REF_CLOSE: (25), (49), (55) are inconsistent by sub-proof #1277.
% 196.41/33.32  | | | | | | 
% 196.41/33.32  | | | | | Case 2:
% 196.41/33.32  | | | | | | 
% 196.41/33.32  | | | | | |   (56)   ~ (all_54_11 = e3)
% 196.41/33.32  | | | | | |   (57)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.41/33.32  | | | | | | 
% 196.41/33.32  | | | | | | BETA: splitting (57) gives:
% 196.41/33.32  | | | | | | 
% 196.41/33.32  | | | | | | Case 1:
% 196.41/33.32  | | | | | | | 
% 196.41/33.32  | | | | | | |   (58)  all_54_11 = e2
% 196.41/33.32  | | | | | | | 
% 196.41/33.32  | | | | | | | REF_CLOSE: (12), (25), (58) are inconsistent by sub-proof #1339.
% 196.41/33.32  | | | | | | | 
% 196.41/33.32  | | | | | | Case 2:
% 196.41/33.32  | | | | | | | 
% 196.41/33.32  | | | | | | |   (59)  all_54_11 = e1 | all_54_11 = e0
% 196.41/33.32  | | | | | | | 
% 196.41/33.32  | | | | | | | BETA: splitting (59) gives:
% 196.41/33.32  | | | | | | | 
% 196.41/33.32  | | | | | | | Case 1:
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | |   (60)  all_54_11 = e1
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | | REF_CLOSE: (22), (25), (60) are inconsistent by sub-proof #1338.
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | Case 2:
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | |   (61)  all_54_11 = e0
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | | COMBINE_EQS: (25), (61) imply:
% 196.41/33.32  | | | | | | | |   (62)  all_52_14 = e0
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | | SIMP: (62) implies:
% 196.41/33.32  | | | | | | | |   (63)  all_52_14 = e0
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | | REDUCE: (16), (63) imply:
% 196.41/33.32  | | | | | | | |   (64)   ~ (all_52_2 = e0)
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | | REDUCE: (49), (63) imply:
% 196.41/33.32  | | | | | | | |   (65)   ~ (e3 = e0)
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | | SIMP: (65) implies:
% 196.41/33.32  | | | | | | | |   (66)   ~ (e3 = e0)
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | | REDUCE: (22), (63) imply:
% 196.41/33.32  | | | | | | | |   (67)   ~ (e1 = e0)
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | | SIMP: (67) implies:
% 196.41/33.32  | | | | | | | |   (68)   ~ (e1 = e0)
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | | BETA: splitting (23) gives:
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | | Case 1:
% 196.41/33.32  | | | | | | | | | 
% 196.41/33.32  | | | | | | | | |   (69)  all_54_8 = e3
% 196.41/33.32  | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | REF_CLOSE: (14), (19), (69) are inconsistent by sub-proof
% 196.41/33.32  | | | | | | | | |            #1162.
% 196.41/33.32  | | | | | | | | | 
% 196.41/33.32  | | | | | | | | Case 2:
% 196.41/33.32  | | | | | | | | | 
% 196.41/33.32  | | | | | | | | |   (70)   ~ (all_54_8 = e3)
% 196.41/33.32  | | | | | | | | |   (71)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.41/33.32  | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | BETA: splitting (54) gives:
% 196.41/33.32  | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | Case 1:
% 196.41/33.32  | | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | |   (72)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.41/33.32  | | | | | | | | | |         op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)
% 196.41/33.32  | | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | | ALPHA: (72) implies:
% 196.41/33.32  | | | | | | | | | |   (73)  op(e2, e0) = all_36_1
% 196.41/33.32  | | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (10), (14),
% 196.41/33.32  | | | | | | | | | |            (17), (18), (19), (24), (28), (29), (31), (33),
% 196.41/33.32  | | | | | | | | | |            (50), (51), (64), (66), (68), (71), (73) are
% 196.41/33.32  | | | | | | | | | |            inconsistent by sub-proof #942.
% 196.41/33.32  | | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | Case 2:
% 196.41/33.32  | | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | |   (74)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 &
% 196.41/33.32  | | | | | | | | | |         $i(all_36_1)
% 196.41/33.32  | | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | | ALPHA: (74) implies:
% 196.41/33.32  | | | | | | | | | |   (75)  op(e2, e0) = all_36_1
% 196.41/33.32  | | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (10), (14),
% 196.41/33.32  | | | | | | | | | |            (17), (18), (19), (24), (28), (29), (31), (33),
% 196.41/33.32  | | | | | | | | | |            (50), (51), (64), (66), (68), (71), (75) are
% 196.41/33.32  | | | | | | | | | |            inconsistent by sub-proof #942.
% 196.41/33.32  | | | | | | | | | | 
% 196.41/33.32  | | | | | | | | | End of split
% 196.41/33.32  | | | | | | | | | 
% 196.41/33.32  | | | | | | | | End of split
% 196.41/33.32  | | | | | | | | 
% 196.41/33.32  | | | | | | | End of split
% 196.41/33.32  | | | | | | | 
% 196.41/33.32  | | | | | | End of split
% 196.41/33.32  | | | | | | 
% 196.41/33.32  | | | | | End of split
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | End of split
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | Case 2:
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | |   (76)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | | BETA: splitting (76) gives:
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | | Case 1:
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | |   (77)  all_54_7 = e2
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | | REF_CLOSE: (3), (4), (77) are inconsistent by sub-proof #1483.
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | Case 2:
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | |   (78)  all_54_7 = e1 | all_54_7 = e0
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | | REF_CLOSE: (3), (15), (44), (78) are inconsistent by sub-proof #1376.
% 196.41/33.32  | | | | | 
% 196.41/33.32  | | | | End of split
% 196.41/33.32  | | | | 
% 196.41/33.32  | | | End of split
% 196.41/33.32  | | | 
% 196.41/33.32  | | End of split
% 196.41/33.32  | | 
% 196.41/33.32  | End of split
% 196.41/33.32  | 
% 196.41/33.32  End of proof
% 196.41/33.32  
% 196.41/33.32  Sub-proof #942 shows that the following formulas are inconsistent:
% 196.41/33.32  ----------------------------------------------------------------
% 196.41/33.32    (1)  op(e1, e1) = e1
% 196.41/33.32    (2)  all_56_1 = e1
% 196.41/33.32    (3)   ~ (all_52_2 = e0)
% 196.41/33.32    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.32    (5)  op(e2, e0) = e3
% 196.41/33.32    (6)  op(e2, e0) = all_36_1
% 196.41/33.32    (7)  all_56_5 = e3
% 196.41/33.32    (8)  op(e2, e0) = e0
% 196.41/33.32    (9)  op(e0, e1) = e2
% 196.41/33.32    (10)  all_56_14 = e2
% 196.41/33.32    (11)  op(e0, e1) = all_16_1
% 196.41/33.32    (12)  all_54_8 = all_52_2
% 196.41/33.33    (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.33          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.33    (14)  op(e3, e3) = e3
% 196.41/33.33    (15)   ~ (all_52_2 = e3)
% 196.41/33.33    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.33          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.33    (17)   ~ (e1 = e0)
% 196.41/33.33    (18)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.33          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.33    (19)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.41/33.33    (20)  op(e0, e1) = e3
% 196.41/33.33    (21)  op(e0, e1) = all_14_1
% 196.41/33.33    (22)   ~ (all_52_2 = e1)
% 196.41/33.33    (23)   ~ (e3 = e1)
% 196.41/33.33    (24)   ~ (e3 = e0)
% 196.41/33.33  
% 196.41/33.33  Begin of proof
% 196.41/33.33  | 
% 196.41/33.33  | BETA: splitting (19) gives:
% 196.41/33.33  | 
% 196.41/33.33  | Case 1:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (25)  all_54_8 = e2
% 196.41/33.33  | | 
% 196.41/33.33  | | COMBINE_EQS: (12), (25) imply:
% 196.41/33.33  | |   (26)  all_52_2 = e2
% 196.41/33.33  | | 
% 196.41/33.33  | | SIMP: (26) implies:
% 196.41/33.33  | |   (27)  all_52_2 = e2
% 196.41/33.33  | | 
% 196.41/33.33  | | REDUCE: (15), (27) imply:
% 196.41/33.33  | |   (28)   ~ (e3 = e2)
% 196.41/33.33  | | 
% 196.41/33.33  | | SIMP: (28) implies:
% 196.41/33.33  | |   (29)   ~ (e3 = e2)
% 196.41/33.33  | | 
% 196.41/33.33  | | REDUCE: (22), (27) imply:
% 196.41/33.33  | |   (30)   ~ (e2 = e1)
% 196.41/33.33  | | 
% 196.41/33.33  | | REDUCE: (3), (27) imply:
% 196.41/33.33  | |   (31)   ~ (e2 = e0)
% 196.41/33.33  | | 
% 196.41/33.33  | | GROUND_INST: instantiating (4) with all_14_1, all_16_1, e1, e0, simplifying
% 196.41/33.33  | |              with (11), (21) gives:
% 196.41/33.33  | |   (32)  all_16_1 = all_14_1
% 196.41/33.33  | | 
% 196.41/33.33  | | GROUND_INST: instantiating (4) with e3, all_16_1, e1, e0, simplifying with
% 196.41/33.33  | |              (11), (20) gives:
% 196.41/33.33  | |   (33)  all_16_1 = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | GROUND_INST: instantiating (4) with e2, all_16_1, e1, e0, simplifying with
% 196.41/33.33  | |              (9), (11) gives:
% 196.41/33.33  | |   (34)  all_16_1 = e2
% 196.41/33.33  | | 
% 196.41/33.33  | | GROUND_INST: instantiating (4) with e3, all_36_1, e0, e2, simplifying with
% 196.41/33.33  | |              (5), (6) gives:
% 196.41/33.33  | |   (35)  all_36_1 = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | GROUND_INST: instantiating (4) with e0, all_36_1, e0, e2, simplifying with
% 196.41/33.33  | |              (6), (8) gives:
% 196.41/33.33  | |   (36)  all_36_1 = e0
% 196.41/33.33  | | 
% 196.41/33.33  | | COMBINE_EQS: (35), (36) imply:
% 196.41/33.33  | |   (37)  e3 = e0
% 196.41/33.33  | | 
% 196.41/33.33  | | COMBINE_EQS: (32), (33) imply:
% 196.41/33.33  | |   (38)  all_14_1 = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | COMBINE_EQS: (32), (34) imply:
% 196.41/33.33  | |   (39)  all_14_1 = e2
% 196.41/33.33  | | 
% 196.41/33.33  | | COMBINE_EQS: (38), (39) imply:
% 196.41/33.33  | |   (40)  e3 = e2
% 196.41/33.33  | | 
% 196.41/33.33  | | COMBINE_EQS: (37), (40) imply:
% 196.41/33.33  | |   (41)  e2 = e0
% 196.41/33.33  | | 
% 196.41/33.33  | | COMBINE_EQS: (7), (37) imply:
% 196.41/33.33  | |   (42)  all_56_5 = e0
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (1), (2), (4), (10), (13), (14), (16), (17), (18), (23), (24),
% 196.41/33.33  | |            (29), (30), (31), (42) are inconsistent by sub-proof #973.
% 196.41/33.33  | | 
% 196.41/33.33  | Case 2:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (43)  all_54_8 = e1 | all_54_8 = e0
% 196.41/33.33  | | 
% 196.41/33.33  | | BETA: splitting (43) gives:
% 196.41/33.33  | | 
% 196.41/33.33  | | Case 1:
% 196.41/33.33  | | | 
% 196.41/33.33  | | |   (44)  all_54_8 = e1
% 196.41/33.33  | | | 
% 196.41/33.33  | | | REF_CLOSE: (12), (22), (44) are inconsistent by sub-proof #1367.
% 196.41/33.33  | | | 
% 196.41/33.33  | | Case 2:
% 196.41/33.33  | | | 
% 196.41/33.33  | | |   (45)  all_54_8 = e0
% 196.41/33.33  | | | 
% 196.41/33.33  | | | REF_CLOSE: (3), (12), (45) are inconsistent by sub-proof #1366.
% 196.41/33.33  | | | 
% 196.41/33.33  | | End of split
% 196.41/33.33  | | 
% 196.41/33.33  | End of split
% 196.41/33.33  | 
% 196.41/33.33  End of proof
% 196.41/33.33  
% 196.41/33.33  Sub-proof #943 shows that the following formulas are inconsistent:
% 196.41/33.33  ----------------------------------------------------------------
% 196.41/33.33    (1)  op(e1, e1) = e1
% 196.41/33.33    (2)  all_56_1 = e1
% 196.41/33.33    (3)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.41/33.33         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.41/33.33    (4)   ~ (e3 = e2)
% 196.41/33.33    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.33    (6)  all_56_5 = e3
% 196.41/33.33    (7)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.41/33.33    (8)  all_56_14 = e2
% 196.41/33.33    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.33         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.33    (10)  op(e3, e3) = e3
% 196.41/33.33    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.33          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.33    (12)   ~ (e1 = e0)
% 196.41/33.33    (13)  all_56_2 = e1
% 196.41/33.33    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.33          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.33    (15)   ~ (e2 = e1)
% 196.41/33.33    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.41/33.33          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.41/33.33    (17)  all_56_4 = e0
% 196.41/33.33    (18)   ~ (e3 = e1)
% 196.41/33.33    (19)   ~ (e2 = e0)
% 196.41/33.33    (20)   ~ (e3 = e0)
% 196.41/33.33  
% 196.41/33.33  Begin of proof
% 196.41/33.33  | 
% 196.41/33.33  | BETA: splitting (7) gives:
% 196.41/33.33  | 
% 196.41/33.33  | Case 1:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (21)  all_56_9 = e3 & op(e3, e0) = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | ALPHA: (21) implies:
% 196.41/33.33  | |   (22)  all_56_9 = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (2), (4), (5), (9), (10), (15), (17), (19), (22) are inconsistent
% 196.41/33.33  | |            by sub-proof #967.
% 196.41/33.33  | | 
% 196.41/33.33  | Case 2:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (23)  all_56_10 = e3 & op(e2, e0) = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | ALPHA: (23) implies:
% 196.41/33.33  | |   (24)  all_56_10 = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | BETA: splitting (3) gives:
% 196.41/33.33  | | 
% 196.41/33.33  | | Case 1:
% 196.41/33.33  | | | 
% 196.41/33.33  | | |   (25)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 196.41/33.33  | | |           e0)
% 196.41/33.33  | | | 
% 196.41/33.33  | | | REF_CLOSE: (4), (6), (12), (13), (15), (16), (19), (24), (25) are
% 196.41/33.33  | | |            inconsistent by sub-proof #1086.
% 196.41/33.33  | | | 
% 196.41/33.33  | | Case 2:
% 196.41/33.33  | | | 
% 196.41/33.33  | | |   (26)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.41/33.33  | | |           e0)
% 196.41/33.33  | | | 
% 196.41/33.33  | | | BETA: splitting (26) gives:
% 196.41/33.33  | | | 
% 196.41/33.33  | | | Case 1:
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | |   (27)  all_56_5 = e0 & op(e2, e1) = e0
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | ALPHA: (27) implies:
% 196.41/33.33  | | | |   (28)  all_56_5 = e0
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | REF_CLOSE: (1), (2), (4), (5), (8), (9), (10), (11), (12), (14), (15),
% 196.41/33.33  | | | |            (18), (19), (20), (28) are inconsistent by sub-proof #973.
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | Case 2:
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | |   (29)  all_56_10 = e0 & op(e2, e0) = e0
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | ALPHA: (29) implies:
% 196.41/33.33  | | | |   (30)  all_56_10 = e0
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | COMBINE_EQS: (24), (30) imply:
% 196.41/33.33  | | | |   (31)  e3 = e0
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | SIMP: (31) implies:
% 196.41/33.33  | | | |   (32)  e3 = e0
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | COMBINE_EQS: (6), (32) imply:
% 196.41/33.33  | | | |   (33)  all_56_5 = e0
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | REF_CLOSE: (1), (2), (4), (5), (8), (9), (10), (11), (12), (14), (15),
% 196.41/33.33  | | | |            (18), (19), (20), (33) are inconsistent by sub-proof #973.
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | End of split
% 196.41/33.33  | | | 
% 196.41/33.33  | | End of split
% 196.41/33.33  | | 
% 196.41/33.33  | End of split
% 196.41/33.33  | 
% 196.41/33.33  End of proof
% 196.41/33.33  
% 196.41/33.33  Sub-proof #944 shows that the following formulas are inconsistent:
% 196.41/33.33  ----------------------------------------------------------------
% 196.41/33.33    (1)  op(e1, e1) = e1
% 196.41/33.33    (2)  all_56_1 = e1
% 196.41/33.33    (3)   ~ (all_52_3 = e1)
% 196.41/33.33    (4)   ~ (all_52_3 = e2)
% 196.41/33.33    (5)   ~ (all_52_3 = e3)
% 196.41/33.33    (6)  op(e0, e0) = e1
% 196.41/33.33    (7)   ~ (e3 = e2)
% 196.41/33.33    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.33    (9)  op(e2, e0) = e3
% 196.41/33.33    (10)  op(e2, e0) = all_32_1
% 196.41/33.33    (11)  all_54_12 = all_52_3
% 196.41/33.33    (12)  op(e2, e0) = e0
% 196.41/33.33    (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.33          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.33    (14)  all_56_11 = e3
% 196.41/33.33    (15)  op(e3, e3) = e3
% 196.41/33.33    (16)  all_56_14 = e3
% 196.41/33.33    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.33          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.33    (18)  all_56_10 = e0
% 196.41/33.33    (19)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.41/33.33          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.41/33.33    (20)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.33          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.33    (21)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.41/33.33    (22)   ~ (e2 = e1)
% 196.41/33.33    (23)  all_56_5 = e2
% 196.41/33.33    (24)  all_56_4 = e0
% 196.41/33.33    (25)   ~ (e3 = e1)
% 196.41/33.33  
% 196.41/33.33  Begin of proof
% 196.41/33.33  | 
% 196.41/33.33  | BETA: splitting (21) gives:
% 196.41/33.33  | 
% 196.41/33.33  | Case 1:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (26)  all_54_12 = e2
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (4), (11), (26) are inconsistent by sub-proof #1465.
% 196.41/33.33  | | 
% 196.41/33.33  | Case 2:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (27)   ~ (all_54_12 = e2)
% 196.41/33.33  | |   (28)  all_54_12 = e1 | all_54_12 = e0
% 196.41/33.33  | | 
% 196.41/33.33  | | BETA: splitting (28) gives:
% 196.41/33.33  | | 
% 196.41/33.33  | | Case 1:
% 196.41/33.33  | | | 
% 196.41/33.33  | | |   (29)  all_54_12 = e1
% 196.41/33.33  | | | 
% 196.41/33.33  | | | REF_CLOSE: (3), (11), (29) are inconsistent by sub-proof #1464.
% 196.41/33.33  | | | 
% 196.41/33.33  | | Case 2:
% 196.41/33.33  | | | 
% 196.41/33.33  | | |   (30)  all_54_12 = e0
% 196.41/33.33  | | | 
% 196.41/33.33  | | | COMBINE_EQS: (11), (30) imply:
% 196.41/33.33  | | |   (31)  all_52_3 = e0
% 196.41/33.33  | | | 
% 196.41/33.33  | | | SIMP: (31) implies:
% 196.41/33.33  | | |   (32)  all_52_3 = e0
% 196.41/33.33  | | | 
% 196.41/33.33  | | | REDUCE: (5), (32) imply:
% 196.41/33.33  | | |   (33)   ~ (e3 = e0)
% 196.41/33.33  | | | 
% 196.41/33.33  | | | SIMP: (33) implies:
% 196.41/33.33  | | |   (34)   ~ (e3 = e0)
% 196.41/33.33  | | | 
% 196.41/33.33  | | | REDUCE: (4), (32) imply:
% 196.41/33.33  | | |   (35)   ~ (e2 = e0)
% 196.41/33.33  | | | 
% 196.41/33.33  | | | SIMP: (35) implies:
% 196.41/33.33  | | |   (36)   ~ (e2 = e0)
% 196.41/33.33  | | | 
% 196.41/33.33  | | | REDUCE: (3), (32) imply:
% 196.41/33.33  | | |   (37)   ~ (e1 = e0)
% 196.41/33.33  | | | 
% 196.41/33.33  | | | SIMP: (37) implies:
% 196.41/33.33  | | |   (38)   ~ (e1 = e0)
% 196.41/33.33  | | | 
% 196.41/33.33  | | | GROUND_INST: instantiating (8) with e3, all_32_1, e0, e2, simplifying with
% 196.41/33.33  | | |              (9), (10) gives:
% 196.41/33.33  | | |   (39)  all_32_1 = e3
% 196.41/33.33  | | | 
% 196.41/33.33  | | | GROUND_INST: instantiating (8) with e0, all_32_1, e0, e2, simplifying with
% 196.41/33.33  | | |              (10), (12) gives:
% 196.41/33.33  | | |   (40)  all_32_1 = e0
% 196.41/33.33  | | | 
% 196.41/33.33  | | | COMBINE_EQS: (39), (40) imply:
% 196.41/33.33  | | |   (41)  e3 = e0
% 196.41/33.33  | | | 
% 196.41/33.33  | | | SIMP: (41) implies:
% 196.41/33.33  | | |   (42)  e3 = e0
% 196.41/33.33  | | | 
% 196.41/33.33  | | | COMBINE_EQS: (14), (42) imply:
% 196.41/33.33  | | |   (43)  all_56_11 = e0
% 196.41/33.33  | | | 
% 196.41/33.33  | | | BETA: splitting (19) gives:
% 196.41/33.33  | | | 
% 196.41/33.33  | | | Case 1:
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | |   (44)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0)
% 196.41/33.33  | | | |           = e3)
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | BETA: splitting (44) gives:
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | Case 1:
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | |   (45)  all_56_9 = e3 & op(e3, e0) = e3
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | | ALPHA: (45) implies:
% 196.41/33.33  | | | | |   (46)  all_56_9 = e3
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | | REF_CLOSE: (2), (7), (8), (13), (15), (22), (24), (36), (46) are
% 196.41/33.33  | | | | |            inconsistent by sub-proof #967.
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | Case 2:
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | |   (47)  all_56_10 = e3 & op(e2, e0) = e3
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | | ALPHA: (47) implies:
% 196.41/33.33  | | | | |   (48)  all_56_10 = e3
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | | COMBINE_EQS: (16), (42) imply:
% 196.41/33.33  | | | | |   (49)  all_56_14 = e0
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | | REF_CLOSE: (1), (2), (7), (8), (13), (15), (17), (20), (22), (23),
% 196.41/33.33  | | | | |            (25), (34), (36), (38), (49) are inconsistent by sub-proof
% 196.41/33.33  | | | | |            #945.
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | End of split
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | Case 2:
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | |   (50)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 196.41/33.33  | | | |             e0) = e3)
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | BETA: splitting (50) gives:
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | | Case 1:
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | |   (51)  all_56_11 = e3 & op(e1, e0) = e3
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | | COMBINE_EQS: (16), (42) imply:
% 196.41/33.33  | | | | |   (52)  all_56_14 = e0
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | | REF_CLOSE: (1), (2), (7), (8), (13), (15), (17), (20), (22), (23),
% 196.41/33.33  | | | | |            (25), (34), (36), (38), (52) are inconsistent by sub-proof
% 196.41/33.33  | | | | |            #945.
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | Case 2:
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | |   (53)  all_56_15 = e3 & op(e0, e0) = e3
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | | ALPHA: (53) implies:
% 196.41/33.33  | | | | |   (54)  op(e0, e0) = e3
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | | REF_CLOSE: (6), (8), (25), (54) are inconsistent by sub-proof #1392.
% 196.41/33.33  | | | | | 
% 196.41/33.33  | | | | End of split
% 196.41/33.33  | | | | 
% 196.41/33.33  | | | End of split
% 196.41/33.33  | | | 
% 196.41/33.33  | | End of split
% 196.41/33.33  | | 
% 196.41/33.33  | End of split
% 196.41/33.33  | 
% 196.41/33.33  End of proof
% 196.41/33.33  
% 196.41/33.33  Sub-proof #945 shows that the following formulas are inconsistent:
% 196.41/33.33  ----------------------------------------------------------------
% 196.41/33.33    (1)  op(e1, e1) = e1
% 196.41/33.33    (2)  all_56_1 = e1
% 196.41/33.33    (3)   ~ (e3 = e2)
% 196.41/33.33    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.33    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.33         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.33    (6)  op(e3, e3) = e3
% 196.41/33.33    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.33         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.33    (8)   ~ (e1 = e0)
% 196.41/33.33    (9)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.33         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.33    (10)   ~ (e2 = e1)
% 196.41/33.33    (11)  all_56_14 = e0
% 196.41/33.33    (12)  all_56_5 = e2
% 196.41/33.33    (13)   ~ (e3 = e1)
% 196.41/33.33    (14)   ~ (e2 = e0)
% 196.41/33.33    (15)   ~ (e3 = e0)
% 196.41/33.33  
% 196.41/33.33  Begin of proof
% 196.41/33.33  | 
% 196.41/33.33  | BETA: splitting (9) gives:
% 196.41/33.33  | 
% 196.41/33.33  | Case 1:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (16)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 196.41/33.33  | |           e3)
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12), (14), (15), (16)
% 196.41/33.33  | |            are inconsistent by sub-proof #946.
% 196.41/33.33  | | 
% 196.41/33.33  | Case 2:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (17)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 196.41/33.33  | |           e3)
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (1), (4), (11), (13), (15), (17) are inconsistent by sub-proof
% 196.41/33.33  | |            #964.
% 196.41/33.33  | | 
% 196.41/33.33  | End of split
% 196.41/33.33  | 
% 196.41/33.33  End of proof
% 196.41/33.33  
% 196.41/33.33  Sub-proof #946 shows that the following formulas are inconsistent:
% 196.41/33.33  ----------------------------------------------------------------
% 196.41/33.33    (1)  all_56_1 = e1
% 196.41/33.33    (2)   ~ (e3 = e2)
% 196.41/33.33    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.33    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 196.41/33.33    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.33         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.33    (6)  op(e3, e3) = e3
% 196.41/33.33    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.33         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.33    (8)   ~ (e1 = e0)
% 196.41/33.33    (9)   ~ (e2 = e1)
% 196.41/33.33    (10)  all_56_5 = e2
% 196.41/33.33    (11)   ~ (e2 = e0)
% 196.41/33.33    (12)   ~ (e3 = e0)
% 196.41/33.33  
% 196.41/33.33  Begin of proof
% 196.41/33.33  | 
% 196.41/33.33  | BETA: splitting (4) gives:
% 196.41/33.33  | 
% 196.41/33.33  | Case 1:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (13)  all_56_4 = e3 & op(e3, e1) = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | ALPHA: (13) implies:
% 196.41/33.33  | |   (14)  all_56_4 = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (12), (14) are
% 196.41/33.33  | |            inconsistent by sub-proof #977.
% 196.41/33.33  | | 
% 196.41/33.33  | Case 2:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | ALPHA: (15) implies:
% 196.41/33.33  | |   (16)  all_56_5 = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (2), (10), (16) are inconsistent by sub-proof #1735.
% 196.41/33.33  | | 
% 196.41/33.33  | End of split
% 196.41/33.33  | 
% 196.41/33.33  End of proof
% 196.41/33.33  
% 196.41/33.33  Sub-proof #947 shows that the following formulas are inconsistent:
% 196.41/33.33  ----------------------------------------------------------------
% 196.41/33.33    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.41/33.33             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.41/33.33           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.41/33.33               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.41/33.33             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.41/33.33         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.41/33.33             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.41/33.33           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.41/33.33               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.41/33.33             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.41/33.33    (2)  op(e0, e0) = e1
% 196.41/33.33    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.33    (4)   ~ (e1 = e0)
% 196.41/33.33    (5)  all_57_7 = e2
% 196.41/33.33    (6)   ~ (all_57_12 = e1)
% 196.41/33.33  
% 196.41/33.33  Begin of proof
% 196.41/33.33  | 
% 196.41/33.33  | BETA: splitting (1) gives:
% 196.41/33.33  | 
% 196.41/33.33  | Case 1:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 196.41/33.33  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.41/33.33  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.41/33.33  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.41/33.33  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.41/33.33  | |              e1) = all_57_8 & $i(all_57_8)))
% 196.41/33.33  | | 
% 196.41/33.33  | | ALPHA: (7) implies:
% 196.41/33.33  | |   (8)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.41/33.33  | |          = all_57_7 & $i(all_57_7))
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (5), (6), (8) are inconsistent by sub-proof #1892.
% 196.41/33.33  | | 
% 196.41/33.33  | Case 2:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 196.41/33.33  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.41/33.33  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.41/33.33  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 196.41/33.33  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.41/33.33  | |              e0) = all_57_13 & $i(all_57_13)))
% 196.41/33.33  | | 
% 196.41/33.33  | | ALPHA: (9) implies:
% 196.41/33.33  | |   (10)  op(e0, e0) = e0
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1943.
% 196.41/33.33  | | 
% 196.41/33.33  | End of split
% 196.41/33.33  | 
% 196.41/33.33  End of proof
% 196.41/33.33  
% 196.41/33.33  Sub-proof #948 shows that the following formulas are inconsistent:
% 196.41/33.33  ----------------------------------------------------------------
% 196.41/33.33    (1)  op(e1, e1) = e1
% 196.41/33.33    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.33    (3)   ~ (e1 = e0)
% 196.41/33.33    (4)  all_57_7 = e2
% 196.41/33.33    (5)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.41/33.33           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.41/33.33           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.41/33.33                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.41/33.33               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.41/33.33               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 196.41/33.33           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 196.41/33.33             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.41/33.33               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.41/33.33           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.41/33.33               = all_57_7 & $i(all_57_7))))
% 196.41/33.33    (6)   ~ (all_57_12 = e1)
% 196.41/33.33  
% 196.41/33.33  Begin of proof
% 196.41/33.33  | 
% 196.41/33.33  | BETA: splitting (5) gives:
% 196.41/33.33  | 
% 196.41/33.33  | Case 1:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (7)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.41/33.33  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.41/33.33  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.41/33.33  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 196.41/33.33  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.41/33.33  | |            all_57_11 & $i(all_57_11)))
% 196.41/33.33  | | 
% 196.41/33.33  | | ALPHA: (7) implies:
% 196.41/33.33  | |   (8)  op(e1, e1) = e0
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1959.
% 196.41/33.33  | | 
% 196.41/33.33  | Case 2:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (9)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.41/33.33  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.41/33.33  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.41/33.33  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.41/33.33  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 196.41/33.33  | |            & $i(all_57_7)))
% 196.41/33.33  | | 
% 196.41/33.33  | | ALPHA: (9) implies:
% 196.41/33.33  | |   (10)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 196.41/33.33  | |             e1) = all_57_7 & $i(all_57_7))
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (4), (6), (10) are inconsistent by sub-proof #1892.
% 196.41/33.33  | | 
% 196.41/33.33  | End of split
% 196.41/33.33  | 
% 196.41/33.33  End of proof
% 196.41/33.33  
% 196.41/33.33  Sub-proof #949 shows that the following formulas are inconsistent:
% 196.41/33.33  ----------------------------------------------------------------
% 196.41/33.33    (1)  op(e0, e0) = e1
% 196.41/33.33    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.33    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.41/33.33           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.41/33.33           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.41/33.33                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.41/33.33               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.41/33.33               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.41/33.33           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.41/33.33           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.41/33.33             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.41/33.33           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.41/33.33               = all_57_1 & $i(all_57_1))))
% 196.41/33.33    (4)  op(e3, e3) = e3
% 196.41/33.33    (5)   ~ (e3 = e1)
% 196.41/33.33    (6)   ~ (e3 = e0)
% 196.41/33.33  
% 196.41/33.33  Begin of proof
% 196.41/33.33  | 
% 196.41/33.33  | BETA: splitting (3) gives:
% 196.41/33.33  | 
% 196.41/33.33  | Case 1:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.41/33.33  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.41/33.33  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 196.41/33.33  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 196.41/33.33  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.41/33.33  | |            all_57_13 & $i(all_57_13)))
% 196.41/33.33  | | 
% 196.41/33.33  | | ALPHA: (7) implies:
% 196.41/33.33  | |   (8)  op(e3, e3) = e0
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1961.
% 196.41/33.33  | | 
% 196.41/33.33  | Case 2:
% 196.41/33.33  | | 
% 196.41/33.33  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 196.41/33.33  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.41/33.33  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.41/33.33  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.41/33.33  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 196.41/33.33  | |            & $i(all_57_1)))
% 196.41/33.33  | | 
% 196.41/33.33  | | ALPHA: (9) implies:
% 196.41/33.33  | |   (10)  op(e0, e0) = e3
% 196.41/33.33  | | 
% 196.41/33.33  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1392.
% 196.41/33.33  | | 
% 196.41/33.33  | End of split
% 196.41/33.33  | 
% 196.41/33.33  End of proof
% 196.41/33.33  
% 196.41/33.33  Sub-proof #950 shows that the following formulas are inconsistent:
% 196.41/33.33  ----------------------------------------------------------------
% 196.41/33.33    (1)  op(e1, e1) = e1
% 196.41/33.33    (2)  all_56_1 = e1
% 196.41/33.33    (3)   ~ (all_52_3 = e1)
% 196.41/33.33    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.41/33.33         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.41/33.33    (5)   ~ (all_52_7 = all_4_2)
% 196.41/33.33    (6)   ~ (all_52_3 = e3)
% 196.41/33.33    (7)  op(e0, e0) = e1
% 196.41/33.33    (8)   ~ (all_52_6 = all_52_7)
% 196.41/33.33    (9)   ~ (e3 = e2)
% 196.41/33.33    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.33            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.33    (11)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.41/33.33    (12)   ~ (all_52_3 = all_52_7)
% 196.41/33.33    (13)  all_54_12 = all_52_3
% 196.41/33.33    (14)  all_54_13 = all_52_7
% 196.41/33.33    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.41/33.33          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.41/33.33    (16)  all_54_9 = all_52_6
% 196.41/33.33    (17)  op(e0, e3) = all_52_3
% 196.41/33.33    (18)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.41/33.33    (19)   ~ (all_52_14 = e2)
% 196.41/33.33    (20)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.41/33.33            all_57_2 & $i(all_57_2))
% 196.41/33.33    (21)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.33          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.33    (22)  all_56_10 = e3
% 196.41/33.33    (23)   ~ (all_52_7 = e1)
% 196.41/33.33    (24)  op(e3, e3) = e3
% 196.41/33.33    (25)  all_56_7 = e3
% 196.41/33.33    (26)   ~ (all_52_6 = all_52_14)
% 196.41/33.33    (27)  all_56_14 = e3
% 196.41/33.33    (28)   ~ (all_4_2 = e1)
% 196.41/33.33    (29)   ~ (all_52_14 = e1)
% 196.41/33.33    (30)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.34          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.34    (31)  all_54_11 = all_52_14
% 196.41/33.34    (32)  all_56_5 = e0
% 196.41/33.34    (33)   ~ (e1 = e0)
% 196.41/33.34    (34)  all_56_2 = e1
% 196.41/33.34    (35)  all_54_5 = all_4_2
% 196.41/33.34    (36)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.34          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.34    (37)  all_56_4 = e2
% 196.41/33.34    (38)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.41/33.34    (39)   ~ (e2 = e1)
% 196.41/33.34    (40)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.41/33.34          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.41/33.34    (41)   ~ (all_52_7 = e3)
% 196.41/33.34    (42)   ~ (all_52_6 = all_4_2)
% 196.41/33.34    (43)   ~ (e3 = e1)
% 196.41/33.34    (44)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.41/33.34          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.41/33.34    (45)   ~ (all_52_6 = e1)
% 196.41/33.34    (46)   ~ (e2 = e0)
% 196.41/33.34    (47)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.41/33.34    (48)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.41/33.34    (49)   ~ (e3 = e0)
% 196.41/33.34    (50)   ~ (all_4_2 = e2)
% 196.41/33.34  
% 196.41/33.34  Begin of proof
% 196.41/33.34  | 
% 196.41/33.34  | BETA: splitting (44) gives:
% 196.41/33.34  | 
% 196.41/33.34  | Case 1:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (51)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 196.41/33.34  | |           e2)
% 196.41/33.34  | | 
% 196.41/33.34  | | REF_CLOSE: (1), (2), (7), (9), (10), (15), (21), (22), (24), (25), (27),
% 196.41/33.34  | |            (30), (32), (33), (36), (37), (39), (40), (43), (46), (49), (51)
% 196.41/33.34  | |            are inconsistent by sub-proof #952.
% 196.41/33.34  | | 
% 196.41/33.34  | Case 2:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (52)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 196.41/33.34  | |           e2)
% 196.41/33.34  | | 
% 196.41/33.34  | | BETA: splitting (52) gives:
% 196.41/33.34  | | 
% 196.41/33.34  | | Case 1:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (53)  all_56_8 = e2 & op(e1, e1) = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | ALPHA: (53) implies:
% 196.41/33.34  | | |   (54)  op(e1, e1) = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | REF_CLOSE: (1), (10), (39), (54) are inconsistent by sub-proof #1955.
% 196.41/33.34  | | | 
% 196.41/33.34  | | Case 2:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (55)  all_56_11 = e2 & op(e1, e0) = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | ALPHA: (55) implies:
% 196.41/33.34  | | |   (56)  all_56_11 = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | BETA: splitting (20) gives:
% 196.41/33.34  | | | 
% 196.41/33.34  | | | Case 1:
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | |   (57)  all_57_15 = e3 & op(e0, e0) = e3
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | | ALPHA: (57) implies:
% 196.41/33.34  | | | |   (58)  op(e0, e0) = e3
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | | REF_CLOSE: (7), (10), (43), (58) are inconsistent by sub-proof #1392.
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | Case 2:
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | |   (59)   ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | | ALPHA: (59) implies:
% 196.41/33.34  | | | |   (60)  op(e0, e3) = all_57_2
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | | BETA: splitting (4) gives:
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | | Case 1:
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | |   (61)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2,
% 196.41/33.34  | | | | |             e3) = e2)
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | | REF_CLOSE: (9), (10), (24), (34), (39), (61) are inconsistent by
% 196.41/33.34  | | | | |            sub-proof #1015.
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | Case 2:
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | |   (62)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0,
% 196.41/33.34  | | | | |             e3) = e2)
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | | BETA: splitting (62) gives:
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | | Case 1:
% 196.41/33.34  | | | | | | 
% 196.41/33.34  | | | | | |   (63)  all_56_6 = e2 & op(e1, e3) = e2
% 196.41/33.34  | | | | | | 
% 196.41/33.34  | | | | | | REF_CLOSE: (1), (2), (7), (9), (10), (15), (21), (22), (24), (25),
% 196.41/33.34  | | | | | |            (27), (30), (32), (33), (36), (37), (39), (40), (43),
% 196.41/33.34  | | | | | |            (46), (49), (63) are inconsistent by sub-proof #953.
% 196.41/33.34  | | | | | | 
% 196.41/33.34  | | | | | Case 2:
% 196.41/33.34  | | | | | | 
% 196.41/33.34  | | | | | |   (64)  all_56_12 = e2 & op(e0, e3) = e2
% 196.41/33.34  | | | | | | 
% 196.41/33.34  | | | | | | ALPHA: (64) implies:
% 196.41/33.34  | | | | | |   (65)  op(e0, e3) = e2
% 196.41/33.34  | | | | | | 
% 196.41/33.34  | | | | | | BETA: splitting (48) gives:
% 196.41/33.34  | | | | | | 
% 196.41/33.34  | | | | | | Case 1:
% 196.41/33.34  | | | | | | | 
% 196.41/33.34  | | | | | | |   (66)  all_54_5 = e2
% 196.41/33.34  | | | | | | | 
% 196.41/33.34  | | | | | | | REF_CLOSE: (35), (50), (66) are inconsistent by sub-proof #1106.
% 196.41/33.34  | | | | | | | 
% 196.41/33.34  | | | | | | Case 2:
% 196.41/33.34  | | | | | | | 
% 196.41/33.34  | | | | | | |   (67)  all_54_5 = e1 | all_54_5 = e0
% 196.41/33.34  | | | | | | | 
% 196.41/33.34  | | | | | | | BETA: splitting (67) gives:
% 196.41/33.34  | | | | | | | 
% 196.41/33.34  | | | | | | | Case 1:
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | |   (68)  all_54_5 = e1
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | | REF_CLOSE: (28), (35), (68) are inconsistent by sub-proof #1089.
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | Case 2:
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | |   (69)  all_54_5 = e0
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | | COMBINE_EQS: (35), (69) imply:
% 196.41/33.34  | | | | | | | |   (70)  all_4_2 = e0
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | | SIMP: (70) implies:
% 196.41/33.34  | | | | | | | |   (71)  all_4_2 = e0
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | | REDUCE: (42), (71) imply:
% 196.41/33.34  | | | | | | | |   (72)   ~ (all_52_6 = e0)
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | | REDUCE: (5), (71) imply:
% 196.41/33.34  | | | | | | | |   (73)   ~ (all_52_7 = e0)
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | | BETA: splitting (38) gives:
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | | Case 1:
% 196.41/33.34  | | | | | | | | | 
% 196.41/33.34  | | | | | | | | |   (74)  all_54_13 = e3
% 196.41/33.34  | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | REF_CLOSE: (14), (41), (74) are inconsistent by sub-proof
% 196.41/33.34  | | | | | | | | |            #1445.
% 196.41/33.34  | | | | | | | | | 
% 196.41/33.34  | | | | | | | | Case 2:
% 196.41/33.34  | | | | | | | | | 
% 196.41/33.34  | | | | | | | | |   (75)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.41/33.34  | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | BETA: splitting (75) gives:
% 196.41/33.34  | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | Case 1:
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | |   (76)  all_54_13 = e2
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | COMBINE_EQS: (14), (76) imply:
% 196.41/33.34  | | | | | | | | | |   (77)  all_52_7 = e2
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | SIMP: (77) implies:
% 196.41/33.34  | | | | | | | | | |   (78)  all_52_7 = e2
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | REDUCE: (12), (78) imply:
% 196.41/33.34  | | | | | | | | | |   (79)   ~ (all_52_3 = e2)
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | REDUCE: (8), (78) imply:
% 196.41/33.34  | | | | | | | | | |   (80)   ~ (all_52_6 = e2)
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | BETA: splitting (47) gives:
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | Case 1:
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | |   (81)  all_54_9 = e3
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | COMBINE_EQS: (16), (81) imply:
% 196.41/33.34  | | | | | | | | | | |   (82)  all_52_6 = e3
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | SIMP: (82) implies:
% 196.41/33.34  | | | | | | | | | | |   (83)  all_52_6 = e3
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | REDUCE: (26), (83) imply:
% 196.41/33.34  | | | | | | | | | | |   (84)   ~ (all_52_14 = e3)
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | SIMP: (84) implies:
% 196.41/33.34  | | | | | | | | | | |   (85)   ~ (all_52_14 = e3)
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | BETA: splitting (11) gives:
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | Case 1:
% 196.41/33.34  | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | |   (86)  all_54_12 = e3
% 196.41/33.34  | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | REF_CLOSE: (6), (13), (86) are inconsistent by sub-proof
% 196.41/33.34  | | | | | | | | | | | |            #1466.
% 196.41/33.34  | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | Case 2:
% 196.41/33.34  | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | |   (87)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.41/33.34  | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | BETA: splitting (18) gives:
% 196.41/33.34  | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | Case 1:
% 196.41/33.34  | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | |   (88)  all_54_11 = e3
% 196.41/33.34  | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | REF_CLOSE: (31), (85), (88) are inconsistent by sub-proof
% 196.41/33.34  | | | | | | | | | | | | |            #1277.
% 196.41/33.34  | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | Case 2:
% 196.41/33.34  | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | |   (89)   ~ (all_54_11 = e3)
% 196.41/33.34  | | | | | | | | | | | | |   (90)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.41/33.34  | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | BETA: splitting (87) gives:
% 196.41/33.34  | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | Case 1:
% 196.41/33.34  | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | |   (91)  all_54_12 = e2
% 196.41/33.34  | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | REF_CLOSE: (13), (79), (91) are inconsistent by sub-proof
% 196.41/33.34  | | | | | | | | | | | | | |            #1465.
% 196.41/33.34  | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | Case 2:
% 196.41/33.34  | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | |   (92)  all_54_12 = e1 | all_54_12 = e0
% 196.41/33.34  | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 196.41/33.34  | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | Case 1:
% 196.41/33.34  | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | |   (93)  all_54_12 = e1
% 196.41/33.34  | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | REF_CLOSE: (3), (13), (93) are inconsistent by sub-proof
% 196.41/33.34  | | | | | | | | | | | | | | |            #1464.
% 196.41/33.34  | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | Case 2:
% 196.41/33.34  | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | |   (94)  all_54_12 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | COMBINE_EQS: (13), (94) imply:
% 196.41/33.34  | | | | | | | | | | | | | | |   (95)  all_52_3 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | SIMP: (95) implies:
% 196.41/33.34  | | | | | | | | | | | | | | |   (96)  all_52_3 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | REDUCE: (17), (96) imply:
% 196.41/33.34  | | | | | | | | | | | | | | |   (97)  op(e0, e3) = e0
% 196.41/33.34  | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 196.41/33.34  | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | Case 1:
% 196.41/33.34  | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | |   (98)  all_54_11 = e2
% 196.41/33.34  | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | REF_CLOSE: (19), (31), (98) are inconsistent by sub-proof
% 196.41/33.34  | | | | | | | | | | | | | | | |            #1339.
% 196.41/33.34  | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | Case 2:
% 196.41/33.34  | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | |   (99)   ~ (all_54_11 = e2)
% 196.41/33.34  | | | | | | | | | | | | | | | |   (100)  all_54_11 = e1 | all_54_11 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 196.41/33.34  | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | Case 1:
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (101)  all_54_11 = e1
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (31), (101) are inconsistent by sub-proof
% 196.41/33.34  | | | | | | | | | | | | | | | | |            #1338.
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | Case 2:
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (102)  all_54_11 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (102) imply:
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (103)  all_52_14 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | SIMP: (103) implies:
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (104)  all_52_14 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | REDUCE: (85), (104) imply:
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (105)   ~ (e3 = e0)
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | REDUCE: (19), (104) imply:
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (106)   ~ (e2 = e0)
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | REDUCE: (29), (104) imply:
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (107)   ~ (e1 = e0)
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with e2, all_57_2, e3, e0,
% 196.41/33.34  | | | | | | | | | | | | | | | | |              simplifying with (60), (65) gives:
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (108)  all_57_2 = e2
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with e0, all_57_2, e3, e0,
% 196.41/33.34  | | | | | | | | | | | | | | | | |              simplifying with (60), (97) gives:
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (109)  all_57_2 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (109) imply:
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (110)  e2 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | SIMP: (110) implies:
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (111)  e2 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (111) imply:
% 196.41/33.34  | | | | | | | | | | | | | | | | |   (112)  all_56_11 = e0
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (7), (9), (10), (21), (22), (24), (27),
% 196.41/33.34  | | | | | | | | | | | | | | | | |            (30), (32), (33), (36), (37), (39), (40), (43),
% 196.41/33.34  | | | | | | | | | | | | | | | | |            (46), (49), (112) are inconsistent by sub-proof
% 196.41/33.34  | | | | | | | | | | | | | | | | |            #954.
% 196.41/33.34  | | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | | End of split
% 196.41/33.34  | | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | | End of split
% 196.41/33.34  | | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | | End of split
% 196.41/33.34  | | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | | End of split
% 196.41/33.34  | | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | | End of split
% 196.41/33.34  | | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | End of split
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | Case 2:
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | |   (113)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | | REF_CLOSE: (16), (45), (72), (80), (113) are inconsistent by
% 196.41/33.34  | | | | | | | | | | |            sub-proof #951.
% 196.41/33.34  | | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | End of split
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | Case 2:
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | |   (114)  all_54_13 = e1 | all_54_13 = e0
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | | REF_CLOSE: (14), (23), (73), (114) are inconsistent by
% 196.41/33.34  | | | | | | | | | |            sub-proof #1652.
% 196.41/33.34  | | | | | | | | | | 
% 196.41/33.34  | | | | | | | | | End of split
% 196.41/33.34  | | | | | | | | | 
% 196.41/33.34  | | | | | | | | End of split
% 196.41/33.34  | | | | | | | | 
% 196.41/33.34  | | | | | | | End of split
% 196.41/33.34  | | | | | | | 
% 196.41/33.34  | | | | | | End of split
% 196.41/33.34  | | | | | | 
% 196.41/33.34  | | | | | End of split
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | End of split
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | End of split
% 196.41/33.34  | | | 
% 196.41/33.34  | | End of split
% 196.41/33.34  | | 
% 196.41/33.34  | End of split
% 196.41/33.34  | 
% 196.41/33.34  End of proof
% 196.41/33.34  
% 196.41/33.34  Sub-proof #951 shows that the following formulas are inconsistent:
% 196.41/33.34  ----------------------------------------------------------------
% 196.41/33.34    (1)   ~ (all_52_6 = e0)
% 196.41/33.34    (2)  all_54_9 = all_52_6
% 196.41/33.34    (3)   ~ (all_52_6 = e2)
% 196.41/33.34    (4)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.41/33.34    (5)   ~ (all_52_6 = e1)
% 196.41/33.34  
% 196.41/33.34  Begin of proof
% 196.41/33.34  | 
% 196.41/33.34  | BETA: splitting (4) gives:
% 196.41/33.34  | 
% 196.41/33.34  | Case 1:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (6)  all_54_9 = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #1142.
% 196.41/33.34  | | 
% 196.41/33.34  | Case 2:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (7)  all_54_9 = e1 | all_54_9 = e0
% 196.41/33.34  | | 
% 196.41/33.34  | | BETA: splitting (7) gives:
% 196.41/33.34  | | 
% 196.41/33.34  | | Case 1:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (8)  all_54_9 = e1
% 196.41/33.34  | | | 
% 196.41/33.34  | | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #1804.
% 196.41/33.34  | | | 
% 196.41/33.34  | | Case 2:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (9)  all_54_9 = e0
% 196.41/33.34  | | | 
% 196.41/33.34  | | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #1803.
% 196.41/33.34  | | | 
% 196.41/33.34  | | End of split
% 196.41/33.34  | | 
% 196.41/33.34  | End of split
% 196.41/33.34  | 
% 196.41/33.34  End of proof
% 196.41/33.34  
% 196.41/33.34  Sub-proof #952 shows that the following formulas are inconsistent:
% 196.41/33.34  ----------------------------------------------------------------
% 196.41/33.34    (1)  op(e1, e1) = e1
% 196.41/33.34    (2)  all_56_1 = e1
% 196.41/33.34    (3)  op(e0, e0) = e1
% 196.41/33.34    (4)   ~ (e3 = e2)
% 196.41/33.34    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.34           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.34    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.41/33.34         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.41/33.34    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.34         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.34    (8)  all_56_10 = e3
% 196.41/33.34    (9)  op(e3, e3) = e3
% 196.41/33.34    (10)  all_56_7 = e3
% 196.41/33.34    (11)  all_56_14 = e3
% 196.41/33.34    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.34          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.34    (13)  all_56_5 = e0
% 196.41/33.34    (14)   ~ (e1 = e0)
% 196.41/33.34    (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.34          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.34    (16)  all_56_4 = e2
% 196.41/33.34    (17)   ~ (e2 = e1)
% 196.41/33.34    (18)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 196.41/33.34    (19)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.41/33.34          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.41/33.34    (20)   ~ (e3 = e1)
% 196.41/33.34    (21)   ~ (e2 = e0)
% 196.41/33.34    (22)   ~ (e3 = e0)
% 196.41/33.34  
% 196.41/33.34  Begin of proof
% 196.41/33.34  | 
% 196.41/33.34  | BETA: splitting (18) gives:
% 196.41/33.34  | 
% 196.41/33.34  | Case 1:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (23)  all_56_6 = e2 & op(e1, e3) = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.41/33.34  | |            (13), (14), (15), (16), (17), (19), (20), (21), (22), (23) are
% 196.41/33.34  | |            inconsistent by sub-proof #953.
% 196.41/33.34  | | 
% 196.41/33.34  | Case 2:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (24)  all_56_7 = e2 & op(e1, e2) = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | ALPHA: (24) implies:
% 196.41/33.34  | |   (25)  all_56_7 = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | COMBINE_EQS: (10), (25) imply:
% 196.41/33.34  | |   (26)  e3 = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | SIMP: (26) implies:
% 196.41/33.34  | |   (27)  e3 = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | COMBINE_EQS: (11), (27) imply:
% 196.41/33.34  | |   (28)  all_56_14 = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | REF_CLOSE: (1), (2), (4), (5), (7), (9), (12), (13), (14), (15), (17), (20),
% 196.41/33.34  | |            (21), (22), (28) are inconsistent by sub-proof #973.
% 196.41/33.34  | | 
% 196.41/33.34  | End of split
% 196.41/33.34  | 
% 196.41/33.34  End of proof
% 196.41/33.34  
% 196.41/33.34  Sub-proof #953 shows that the following formulas are inconsistent:
% 196.41/33.34  ----------------------------------------------------------------
% 196.41/33.34    (1)  op(e1, e1) = e1
% 196.41/33.34    (2)  all_56_1 = e1
% 196.41/33.34    (3)  op(e0, e0) = e1
% 196.41/33.34    (4)   ~ (e3 = e2)
% 196.41/33.34    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.34           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.34    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.41/33.34         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.41/33.34    (7)  all_56_6 = e2 & op(e1, e3) = e2
% 196.41/33.34    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.34         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.34    (9)  all_56_10 = e3
% 196.41/33.34    (10)  op(e3, e3) = e3
% 196.41/33.34    (11)  all_56_7 = e3
% 196.41/33.34    (12)  all_56_14 = e3
% 196.41/33.34    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.34          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.34    (14)  all_56_5 = e0
% 196.41/33.34    (15)   ~ (e1 = e0)
% 196.41/33.34    (16)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.34          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.34    (17)  all_56_4 = e2
% 196.41/33.34    (18)   ~ (e2 = e1)
% 196.41/33.34    (19)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.41/33.34          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.41/33.34    (20)   ~ (e3 = e1)
% 196.41/33.34    (21)   ~ (e2 = e0)
% 196.41/33.34    (22)   ~ (e3 = e0)
% 196.41/33.34  
% 196.41/33.34  Begin of proof
% 196.41/33.34  | 
% 196.41/33.34  | ALPHA: (7) implies:
% 196.41/33.34  |   (23)  all_56_6 = e2
% 196.41/33.34  | 
% 196.41/33.34  | BETA: splitting (6) gives:
% 196.41/33.34  | 
% 196.41/33.34  | Case 1:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (24)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 196.41/33.34  | |           e0)
% 196.41/33.34  | | 
% 196.41/33.34  | | BETA: splitting (24) gives:
% 196.41/33.34  | | 
% 196.41/33.34  | | Case 1:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (25)  all_56_6 = e0 & op(e1, e3) = e0
% 196.41/33.34  | | | 
% 196.41/33.34  | | | REF_CLOSE: (21), (23), (25) are inconsistent by sub-proof #1601.
% 196.41/33.34  | | | 
% 196.41/33.34  | | Case 2:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (26)  all_56_7 = e0 & op(e1, e2) = e0
% 196.41/33.34  | | | 
% 196.41/33.34  | | | ALPHA: (26) implies:
% 196.41/33.34  | | |   (27)  all_56_7 = e0
% 196.41/33.34  | | | 
% 196.41/33.34  | | | REF_CLOSE: (11), (22), (27) are inconsistent by sub-proof #1797.
% 196.41/33.34  | | | 
% 196.41/33.34  | | End of split
% 196.41/33.34  | | 
% 196.41/33.34  | Case 2:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (28)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.41/33.34  | |           e0)
% 196.41/33.34  | | 
% 196.41/33.34  | | BETA: splitting (28) gives:
% 196.41/33.34  | | 
% 196.41/33.34  | | Case 1:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (29)  all_56_8 = e0 & op(e1, e1) = e0
% 196.41/33.34  | | | 
% 196.41/33.34  | | | ALPHA: (29) implies:
% 196.41/33.34  | | |   (30)  op(e1, e1) = e0
% 196.41/33.34  | | | 
% 196.41/33.34  | | | REF_CLOSE: (1), (5), (15), (30) are inconsistent by sub-proof #1959.
% 196.41/33.34  | | | 
% 196.41/33.34  | | Case 2:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (31)  all_56_11 = e0 & op(e1, e0) = e0
% 196.41/33.34  | | | 
% 196.41/33.34  | | | ALPHA: (31) implies:
% 196.41/33.34  | | |   (32)  all_56_11 = e0
% 196.41/33.34  | | | 
% 196.41/33.34  | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (12), (13), (14),
% 196.41/33.34  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (32) are
% 196.41/33.34  | | |            inconsistent by sub-proof #954.
% 196.41/33.34  | | | 
% 196.41/33.34  | | End of split
% 196.41/33.34  | | 
% 196.41/33.34  | End of split
% 196.41/33.34  | 
% 196.41/33.34  End of proof
% 196.41/33.34  
% 196.41/33.34  Sub-proof #954 shows that the following formulas are inconsistent:
% 196.41/33.34  ----------------------------------------------------------------
% 196.41/33.34    (1)  op(e1, e1) = e1
% 196.41/33.34    (2)  all_56_1 = e1
% 196.41/33.34    (3)  all_56_11 = e0
% 196.41/33.34    (4)  op(e0, e0) = e1
% 196.41/33.34    (5)   ~ (e3 = e2)
% 196.41/33.34    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.34           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.34    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.34         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.34    (8)  all_56_10 = e3
% 196.41/33.34    (9)  op(e3, e3) = e3
% 196.41/33.34    (10)  all_56_14 = e3
% 196.41/33.34    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.34          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.34    (12)  all_56_5 = e0
% 196.41/33.34    (13)   ~ (e1 = e0)
% 196.41/33.34    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.34          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.34    (15)  all_56_4 = e2
% 196.41/33.34    (16)   ~ (e2 = e1)
% 196.41/33.34    (17)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.41/33.34          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.41/33.34    (18)   ~ (e3 = e1)
% 196.41/33.34    (19)   ~ (e2 = e0)
% 196.41/33.34    (20)   ~ (e3 = e0)
% 196.41/33.34  
% 196.41/33.34  Begin of proof
% 196.41/33.34  | 
% 196.41/33.34  | BETA: splitting (17) gives:
% 196.41/33.34  | 
% 196.41/33.34  | Case 1:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 196.41/33.34  | |           e2)
% 196.41/33.34  | | 
% 196.41/33.34  | | BETA: splitting (21) gives:
% 196.41/33.34  | | 
% 196.41/33.34  | | Case 1:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (22)  all_56_9 = e2 & op(e3, e0) = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | ALPHA: (22) implies:
% 196.41/33.34  | | |   (23)  all_56_9 = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | REF_CLOSE: (2), (6), (9), (11), (13), (15), (19), (20), (23) are
% 196.41/33.34  | | |            inconsistent by sub-proof #1532.
% 196.41/33.34  | | | 
% 196.41/33.34  | | Case 2:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (24)  all_56_10 = e2 & op(e2, e0) = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | ALPHA: (24) implies:
% 196.41/33.34  | | |   (25)  all_56_10 = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | COMBINE_EQS: (8), (25) imply:
% 196.41/33.34  | | |   (26)  e3 = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | SIMP: (26) implies:
% 196.41/33.34  | | |   (27)  e3 = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | COMBINE_EQS: (10), (27) imply:
% 196.41/33.34  | | |   (28)  all_56_14 = e2
% 196.41/33.34  | | | 
% 196.41/33.34  | | | REF_CLOSE: (1), (2), (5), (6), (7), (9), (11), (12), (13), (14), (16),
% 196.41/33.34  | | |            (18), (19), (20), (28) are inconsistent by sub-proof #973.
% 196.41/33.34  | | | 
% 196.41/33.34  | | End of split
% 196.41/33.34  | | 
% 196.41/33.34  | Case 2:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (29)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.41/33.34  | |           e2)
% 196.41/33.34  | | 
% 196.41/33.34  | | REF_CLOSE: (3), (4), (6), (16), (19), (29) are inconsistent by sub-proof
% 196.41/33.34  | |            #955.
% 196.41/33.34  | | 
% 196.41/33.34  | End of split
% 196.41/33.34  | 
% 196.41/33.34  End of proof
% 196.41/33.34  
% 196.41/33.34  Sub-proof #955 shows that the following formulas are inconsistent:
% 196.41/33.34  ----------------------------------------------------------------
% 196.41/33.34    (1)  all_56_11 = e0
% 196.41/33.34    (2)  op(e0, e0) = e1
% 196.41/33.34    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.34           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.34    (4)   ~ (e2 = e1)
% 196.41/33.34    (5)   ~ (e2 = e0)
% 196.41/33.34    (6)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.41/33.34  
% 196.41/33.34  Begin of proof
% 196.41/33.34  | 
% 196.41/33.34  | BETA: splitting (6) gives:
% 196.41/33.34  | 
% 196.41/33.34  | Case 1:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (7)  all_56_11 = e2 & op(e1, e0) = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | ALPHA: (7) implies:
% 196.41/33.34  | |   (8)  all_56_11 = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #1227.
% 196.41/33.34  | | 
% 196.41/33.34  | Case 2:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (9)  all_56_15 = e2 & op(e0, e0) = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | ALPHA: (9) implies:
% 196.41/33.34  | |   (10)  op(e0, e0) = e2
% 196.41/33.34  | | 
% 196.41/33.34  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1780.
% 196.41/33.34  | | 
% 196.41/33.34  | End of split
% 196.41/33.34  | 
% 196.41/33.34  End of proof
% 196.41/33.34  
% 196.41/33.34  Sub-proof #956 shows that the following formulas are inconsistent:
% 196.41/33.34  ----------------------------------------------------------------
% 196.41/33.34    (1)  op(e1, e1) = e1
% 196.41/33.34    (2)  all_56_1 = e1
% 196.41/33.34    (3)   ~ (all_52_3 = e1)
% 196.41/33.34    (4)   ~ (all_52_7 = all_4_2)
% 196.41/33.34    (5)   ~ (all_52_3 = e3)
% 196.41/33.34    (6)  op(e0, e0) = e1
% 196.41/33.34    (7)   ~ (e3 = e2)
% 196.41/33.34    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.34           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.34    (9)  op(e2, e2) = all_4_2
% 196.41/33.34    (10)  op(e2, e2) = e3
% 196.41/33.34    (11)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.41/33.34    (12)   ~ (all_52_3 = all_52_7)
% 196.41/33.34    (13)  all_54_12 = all_52_3
% 196.41/33.34    (14)  all_54_13 = all_52_7
% 196.41/33.34    (15)  all_54_8 = all_52_2
% 196.41/33.34    (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.34          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.34    (17)   ~ (all_52_7 = e1)
% 196.41/33.34    (18)  op(e3, e3) = e3
% 196.41/33.34    (19)   ~ (all_52_2 = e3)
% 196.41/33.34    (20)  all_56_14 = e3
% 196.41/33.34    (21)   ~ (all_4_2 = e1)
% 196.41/33.34    (22)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.41/33.34    (23)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.34          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.34    (24)  all_56_5 = e0
% 196.41/33.34    (25)   ~ (e1 = e0)
% 196.41/33.34    (26)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.41/33.34          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.41/33.34    (27)  all_56_2 = e1
% 196.41/33.34    (28)  all_56_3 = e3
% 196.41/33.34    (29)  all_54_5 = all_4_2
% 196.41/33.34    (30)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.34          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.34    (31)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.41/33.34    (32)   ~ (e2 = e1)
% 196.41/33.34    (33)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.41/33.34          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.41/33.34    (34)   ~ (all_52_2 = e1)
% 196.41/33.34    (35)   ~ (all_52_7 = e3)
% 196.41/33.34    (36)   ~ (all_52_2 = all_52_3)
% 196.41/33.34    (37)   ~ (e3 = e1)
% 196.41/33.34    (38)   ~ (e2 = e0)
% 196.41/33.34    (39)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.41/33.34    (40)   ~ (e3 = e0)
% 196.41/33.34    (41)   ~ (all_4_2 = e2)
% 196.41/33.34  
% 196.41/33.34  Begin of proof
% 196.41/33.34  | 
% 196.41/33.34  | BETA: splitting (26) gives:
% 196.41/33.34  | 
% 196.41/33.34  | Case 1:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (42)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 196.41/33.34  | |           e3)
% 196.41/33.34  | | 
% 196.41/33.34  | | REF_CLOSE: (1), (2), (7), (8), (16), (18), (20), (23), (24), (25), (27),
% 196.41/33.34  | |            (28), (30), (32), (33), (37), (38), (40), (42) are inconsistent
% 196.41/33.34  | |            by sub-proof #959.
% 196.41/33.34  | | 
% 196.41/33.34  | Case 2:
% 196.41/33.34  | | 
% 196.41/33.34  | |   (43)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 196.41/33.34  | |           e3)
% 196.41/33.34  | | 
% 196.41/33.34  | | BETA: splitting (43) gives:
% 196.41/33.34  | | 
% 196.41/33.34  | | Case 1:
% 196.41/33.34  | | | 
% 196.41/33.34  | | |   (44)  all_56_11 = e3 & op(e1, e0) = e3
% 196.41/33.34  | | | 
% 196.41/33.34  | | | ALPHA: (44) implies:
% 196.41/33.34  | | |   (45)  all_56_11 = e3
% 196.41/33.34  | | | 
% 196.41/33.34  | | | BETA: splitting (39) gives:
% 196.41/33.34  | | | 
% 196.41/33.34  | | | Case 1:
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | |   (46)  all_54_5 = e2
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | | REF_CLOSE: (29), (41), (46) are inconsistent by sub-proof #1106.
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | Case 2:
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | |   (47)  all_54_5 = e1 | all_54_5 = e0
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | | BETA: splitting (47) gives:
% 196.41/33.34  | | | | 
% 196.41/33.34  | | | | Case 1:
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | |   (48)  all_54_5 = e1
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | | REF_CLOSE: (21), (29), (48) are inconsistent by sub-proof #1089.
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | Case 2:
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | |   (49)  all_54_5 = e0
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | | COMBINE_EQS: (29), (49) imply:
% 196.41/33.34  | | | | |   (50)  all_4_2 = e0
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | | SIMP: (50) implies:
% 196.41/33.34  | | | | |   (51)  all_4_2 = e0
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | | REDUCE: (4), (51) imply:
% 196.41/33.34  | | | | |   (52)   ~ (all_52_7 = e0)
% 196.41/33.34  | | | | | 
% 196.41/33.34  | | | | | REDUCE: (9), (51) imply:
% 196.41/33.35  | | | | |   (53)  op(e2, e2) = e0
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | BETA: splitting (31) gives:
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | Case 1:
% 196.41/33.35  | | | | | | 
% 196.41/33.35  | | | | | |   (54)  all_54_13 = e3
% 196.41/33.35  | | | | | | 
% 196.41/33.35  | | | | | | REF_CLOSE: (14), (35), (54) are inconsistent by sub-proof #1445.
% 196.41/33.35  | | | | | | 
% 196.41/33.35  | | | | | Case 2:
% 196.41/33.35  | | | | | | 
% 196.41/33.35  | | | | | |   (55)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.41/33.35  | | | | | | 
% 196.41/33.35  | | | | | | BETA: splitting (55) gives:
% 196.41/33.35  | | | | | | 
% 196.41/33.35  | | | | | | Case 1:
% 196.41/33.35  | | | | | | | 
% 196.41/33.35  | | | | | | |   (56)  all_54_13 = e2
% 196.41/33.35  | | | | | | | 
% 196.41/33.35  | | | | | | | COMBINE_EQS: (14), (56) imply:
% 196.41/33.35  | | | | | | |   (57)  all_52_7 = e2
% 196.41/33.35  | | | | | | | 
% 196.41/33.35  | | | | | | | SIMP: (57) implies:
% 196.41/33.35  | | | | | | |   (58)  all_52_7 = e2
% 196.41/33.35  | | | | | | | 
% 196.41/33.35  | | | | | | | REDUCE: (12), (58) imply:
% 196.41/33.35  | | | | | | |   (59)   ~ (all_52_3 = e2)
% 196.41/33.35  | | | | | | | 
% 196.41/33.35  | | | | | | | BETA: splitting (11) gives:
% 196.41/33.35  | | | | | | | 
% 196.41/33.35  | | | | | | | Case 1:
% 196.41/33.35  | | | | | | | | 
% 196.41/33.35  | | | | | | | |   (60)  all_54_12 = e3
% 196.41/33.35  | | | | | | | | 
% 196.41/33.35  | | | | | | | | REF_CLOSE: (5), (13), (60) are inconsistent by sub-proof #1466.
% 196.41/33.35  | | | | | | | | 
% 196.41/33.35  | | | | | | | Case 2:
% 196.41/33.35  | | | | | | | | 
% 196.41/33.35  | | | | | | | |   (61)   ~ (all_54_12 = e3)
% 196.41/33.35  | | | | | | | |   (62)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.41/33.35  | | | | | | | | 
% 196.41/33.35  | | | | | | | | BETA: splitting (62) gives:
% 196.41/33.35  | | | | | | | | 
% 196.41/33.35  | | | | | | | | Case 1:
% 196.41/33.35  | | | | | | | | | 
% 196.41/33.35  | | | | | | | | |   (63)  all_54_12 = e2
% 196.41/33.35  | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | REF_CLOSE: (13), (59), (63) are inconsistent by sub-proof
% 196.41/33.35  | | | | | | | | |            #1465.
% 196.41/33.35  | | | | | | | | | 
% 196.41/33.35  | | | | | | | | Case 2:
% 196.41/33.35  | | | | | | | | | 
% 196.41/33.35  | | | | | | | | |   (64)  all_54_12 = e1 | all_54_12 = e0
% 196.41/33.35  | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | BETA: splitting (64) gives:
% 196.41/33.35  | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | Case 1:
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | |   (65)  all_54_12 = e1
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | REF_CLOSE: (3), (13), (65) are inconsistent by sub-proof
% 196.41/33.35  | | | | | | | | | |            #1464.
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | Case 2:
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | |   (66)  all_54_12 = e0
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | COMBINE_EQS: (13), (66) imply:
% 196.41/33.35  | | | | | | | | | |   (67)  all_52_3 = e0
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | SIMP: (67) implies:
% 196.41/33.35  | | | | | | | | | |   (68)  all_52_3 = e0
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | REDUCE: (36), (68) imply:
% 196.41/33.35  | | | | | | | | | |   (69)   ~ (all_52_2 = e0)
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | REDUCE: (5), (68) imply:
% 196.41/33.35  | | | | | | | | | |   (70)   ~ (e3 = e0)
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | REDUCE: (3), (68) imply:
% 196.41/33.35  | | | | | | | | | |   (71)   ~ (e1 = e0)
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | BETA: splitting (22) gives:
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | Case 1:
% 196.41/33.35  | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | |   (72)  all_54_8 = e3
% 196.41/33.35  | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | REF_CLOSE: (15), (19), (72) are inconsistent by sub-proof
% 196.41/33.35  | | | | | | | | | | |            #1162.
% 196.41/33.35  | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | Case 2:
% 196.41/33.35  | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | |   (73)   ~ (all_54_8 = e3)
% 196.41/33.35  | | | | | | | | | | |   (74)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.41/33.35  | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | BETA: splitting (74) gives:
% 196.41/33.35  | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | Case 1:
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | |   (75)  all_54_8 = e2
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | | COMBINE_EQS: (15), (75) imply:
% 196.41/33.35  | | | | | | | | | | | |   (76)  all_52_2 = e2
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | | SIMP: (76) implies:
% 196.41/33.35  | | | | | | | | | | | |   (77)  all_52_2 = e2
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | | REDUCE: (19), (77) imply:
% 196.41/33.35  | | | | | | | | | | | |   (78)   ~ (e3 = e2)
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | | GROUND_INST: instantiating (8) with e0, e3, e2, e2, simplifying
% 196.41/33.35  | | | | | | | | | | | |              with (10), (53) gives:
% 196.41/33.35  | | | | | | | | | | | |   (79)  e3 = e0
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | | COMBINE_EQS: (45), (79) imply:
% 196.41/33.35  | | | | | | | | | | | |   (80)  all_56_11 = e0
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | | REF_CLOSE: (1), (2), (6), (7), (8), (16), (18), (20), (23),
% 196.41/33.35  | | | | | | | | | | | |            (24), (25), (26), (27), (28), (30), (32), (33),
% 196.41/33.35  | | | | | | | | | | | |            (37), (38), (40), (80) are inconsistent by
% 196.41/33.35  | | | | | | | | | | | |            sub-proof #957.
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | Case 2:
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | |   (81)  all_54_8 = e1 | all_54_8 = e0
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | | REF_CLOSE: (15), (34), (69), (81) are inconsistent by
% 196.41/33.35  | | | | | | | | | | | |            sub-proof #1365.
% 196.41/33.35  | | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | | End of split
% 196.41/33.35  | | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | | End of split
% 196.41/33.35  | | | | | | | | | | 
% 196.41/33.35  | | | | | | | | | End of split
% 196.41/33.35  | | | | | | | | | 
% 196.41/33.35  | | | | | | | | End of split
% 196.41/33.35  | | | | | | | | 
% 196.41/33.35  | | | | | | | End of split
% 196.41/33.35  | | | | | | | 
% 196.41/33.35  | | | | | | Case 2:
% 196.41/33.35  | | | | | | | 
% 196.41/33.35  | | | | | | |   (82)  all_54_13 = e1 | all_54_13 = e0
% 196.41/33.35  | | | | | | | 
% 196.41/33.35  | | | | | | | REF_CLOSE: (14), (17), (52), (82) are inconsistent by sub-proof
% 196.41/33.35  | | | | | | |            #1652.
% 196.41/33.35  | | | | | | | 
% 196.41/33.35  | | | | | | End of split
% 196.41/33.35  | | | | | | 
% 196.41/33.35  | | | | | End of split
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | End of split
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | End of split
% 196.41/33.35  | | | 
% 196.41/33.35  | | Case 2:
% 196.41/33.35  | | | 
% 196.41/33.35  | | |   (83)  all_56_15 = e3 & op(e0, e0) = e3
% 196.41/33.35  | | | 
% 196.41/33.35  | | | ALPHA: (83) implies:
% 196.41/33.35  | | |   (84)  op(e0, e0) = e3
% 196.41/33.35  | | | 
% 196.41/33.35  | | | REF_CLOSE: (6), (8), (37), (84) are inconsistent by sub-proof #1392.
% 196.41/33.35  | | | 
% 196.41/33.35  | | End of split
% 196.41/33.35  | | 
% 196.41/33.35  | End of split
% 196.41/33.35  | 
% 196.41/33.35  End of proof
% 196.41/33.35  
% 196.41/33.35  Sub-proof #957 shows that the following formulas are inconsistent:
% 196.41/33.35  ----------------------------------------------------------------
% 196.41/33.35    (1)  op(e1, e1) = e1
% 196.41/33.35    (2)  all_56_1 = e1
% 196.41/33.35    (3)  all_56_11 = e0
% 196.41/33.35    (4)  op(e0, e0) = e1
% 196.41/33.35    (5)   ~ (e3 = e2)
% 196.41/33.35    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.35           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.35    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.35         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.35    (8)  op(e3, e3) = e3
% 196.41/33.35    (9)  all_56_14 = e3
% 196.41/33.35    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.35          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.35    (11)  all_56_5 = e0
% 196.41/33.35    (12)   ~ (e1 = e0)
% 196.41/33.35    (13)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.41/33.35          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.41/33.35    (14)  all_56_2 = e1
% 196.41/33.35    (15)  all_56_3 = e3
% 196.41/33.35    (16)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.35          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.35    (17)   ~ (e2 = e1)
% 196.41/33.35    (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.41/33.35          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.41/33.35    (19)   ~ (e3 = e1)
% 196.41/33.35    (20)   ~ (e2 = e0)
% 196.41/33.35    (21)   ~ (e3 = e0)
% 196.41/33.35  
% 196.41/33.35  Begin of proof
% 196.41/33.35  | 
% 196.41/33.35  | BETA: splitting (13) gives:
% 196.41/33.35  | 
% 196.41/33.35  | Case 1:
% 196.41/33.35  | | 
% 196.41/33.35  | |   (22)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 196.41/33.35  | |           e3)
% 196.41/33.35  | | 
% 196.41/33.35  | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (10), (11), (12), (14), (15),
% 196.41/33.35  | |            (16), (17), (18), (19), (20), (21), (22) are inconsistent by
% 196.41/33.35  | |            sub-proof #959.
% 196.41/33.35  | | 
% 196.41/33.35  | Case 2:
% 196.41/33.35  | | 
% 196.41/33.35  | |   (23)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 196.41/33.35  | |           e3)
% 196.41/33.35  | | 
% 196.41/33.35  | | BETA: splitting (23) gives:
% 196.41/33.35  | | 
% 196.41/33.35  | | Case 1:
% 196.41/33.35  | | | 
% 196.41/33.35  | | |   (24)  all_56_11 = e3 & op(e1, e0) = e3
% 196.41/33.35  | | | 
% 196.41/33.35  | | | ALPHA: (24) implies:
% 196.41/33.35  | | |   (25)  all_56_11 = e3
% 196.41/33.35  | | | 
% 196.41/33.35  | | | REF_CLOSE: (3), (21), (25) are inconsistent by sub-proof #958.
% 196.41/33.35  | | | 
% 196.41/33.35  | | Case 2:
% 196.41/33.35  | | | 
% 196.41/33.35  | | |   (26)  all_56_15 = e3 & op(e0, e0) = e3
% 196.41/33.35  | | | 
% 196.41/33.35  | | | ALPHA: (26) implies:
% 196.41/33.35  | | |   (27)  op(e0, e0) = e3
% 196.41/33.35  | | | 
% 196.41/33.35  | | | REF_CLOSE: (4), (6), (19), (27) are inconsistent by sub-proof #1392.
% 196.41/33.35  | | | 
% 196.41/33.35  | | End of split
% 196.41/33.35  | | 
% 196.41/33.35  | End of split
% 196.41/33.35  | 
% 196.41/33.35  End of proof
% 196.41/33.35  
% 196.41/33.35  Sub-proof #958 shows that the following formulas are inconsistent:
% 196.41/33.35  ----------------------------------------------------------------
% 196.41/33.35    (1)  all_56_11 = e3
% 196.41/33.35    (2)  all_56_11 = e0
% 196.41/33.35    (3)   ~ (e3 = e0)
% 196.41/33.35  
% 196.41/33.35  Begin of proof
% 196.41/33.35  | 
% 196.41/33.35  | COMBINE_EQS: (1), (2) imply:
% 196.41/33.35  |   (4)  e3 = e0
% 196.41/33.35  | 
% 196.41/33.35  | SIMP: (4) implies:
% 196.41/33.35  |   (5)  e3 = e0
% 196.41/33.35  | 
% 196.41/33.35  | REDUCE: (3), (5) imply:
% 196.41/33.35  |   (6)  $false
% 196.41/33.35  | 
% 196.41/33.35  | CLOSE: (6) is inconsistent.
% 196.41/33.35  | 
% 196.41/33.35  End of proof
% 196.41/33.35  
% 196.41/33.35  Sub-proof #959 shows that the following formulas are inconsistent:
% 196.41/33.35  ----------------------------------------------------------------
% 196.41/33.35    (1)  op(e1, e1) = e1
% 196.41/33.35    (2)  all_56_1 = e1
% 196.41/33.35    (3)   ~ (e3 = e2)
% 196.41/33.35    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.35           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.35    (5)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.41/33.35    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.35         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.35    (7)  op(e3, e3) = e3
% 196.41/33.35    (8)  all_56_14 = e3
% 196.41/33.35    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.35         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.35    (10)  all_56_5 = e0
% 196.41/33.35    (11)   ~ (e1 = e0)
% 196.41/33.35    (12)  all_56_2 = e1
% 196.41/33.35    (13)  all_56_3 = e3
% 196.41/33.35    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.35          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.35    (15)   ~ (e2 = e1)
% 196.41/33.35    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.41/33.35          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.41/33.35    (17)   ~ (e3 = e1)
% 196.41/33.35    (18)   ~ (e2 = e0)
% 196.41/33.35    (19)   ~ (e3 = e0)
% 196.41/33.35  
% 196.41/33.35  Begin of proof
% 196.41/33.35  | 
% 196.41/33.35  | BETA: splitting (5) gives:
% 196.41/33.35  | 
% 196.41/33.35  | Case 1:
% 196.41/33.35  | | 
% 196.41/33.35  | |   (20)  all_56_9 = e3 & op(e3, e0) = e3
% 196.41/33.35  | | 
% 196.41/33.35  | | REF_CLOSE: (2), (3), (4), (6), (7), (9), (11), (15), (18), (19), (20) are
% 196.41/33.35  | |            inconsistent by sub-proof #966.
% 196.41/33.35  | | 
% 196.41/33.35  | Case 2:
% 196.41/33.35  | | 
% 196.41/33.35  | |   (21)  all_56_10 = e3 & op(e2, e0) = e3
% 196.41/33.35  | | 
% 196.41/33.35  | | ALPHA: (21) implies:
% 196.41/33.35  | |   (22)  all_56_10 = e3
% 196.41/33.35  | | 
% 196.41/33.35  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 196.41/33.35  | |            (14), (15), (16), (17), (18), (19), (22) are inconsistent by
% 196.41/33.35  | |            sub-proof #960.
% 196.41/33.35  | | 
% 196.41/33.35  | End of split
% 196.41/33.35  | 
% 196.41/33.35  End of proof
% 196.41/33.35  
% 196.41/33.35  Sub-proof #960 shows that the following formulas are inconsistent:
% 196.41/33.35  ----------------------------------------------------------------
% 196.41/33.35    (1)  op(e1, e1) = e1
% 196.41/33.35    (2)  all_56_1 = e1
% 196.41/33.35    (3)   ~ (e3 = e2)
% 196.41/33.35    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.35           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.35    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.35         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.35    (6)  all_56_10 = e3
% 196.41/33.35    (7)  op(e3, e3) = e3
% 196.41/33.35    (8)  all_56_14 = e3
% 196.41/33.35    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.35         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.35    (10)  all_56_5 = e0
% 196.41/33.35    (11)   ~ (e1 = e0)
% 196.41/33.35    (12)  all_56_2 = e1
% 196.41/33.35    (13)  all_56_3 = e3
% 196.41/33.35    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.35          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.35    (15)   ~ (e2 = e1)
% 196.41/33.35    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.41/33.35          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.41/33.35    (17)   ~ (e3 = e1)
% 196.41/33.35    (18)   ~ (e2 = e0)
% 196.41/33.35    (19)   ~ (e3 = e0)
% 196.41/33.35  
% 196.41/33.35  Begin of proof
% 196.41/33.35  | 
% 196.41/33.35  | BETA: splitting (16) gives:
% 196.41/33.35  | 
% 196.41/33.35  | Case 1:
% 196.41/33.35  | | 
% 196.41/33.35  | |   (20)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 196.41/33.35  | |           e2)
% 196.41/33.35  | | 
% 196.41/33.35  | | BETA: splitting (20) gives:
% 196.41/33.35  | | 
% 196.41/33.35  | | Case 1:
% 196.41/33.35  | | | 
% 196.41/33.35  | | |   (21)  all_56_2 = e2 & op(e2, e3) = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | ALPHA: (21) implies:
% 196.41/33.35  | | |   (22)  all_56_2 = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | REF_CLOSE: (12), (15), (22) are inconsistent by sub-proof #1855.
% 196.41/33.35  | | | 
% 196.41/33.35  | | Case 2:
% 196.41/33.35  | | | 
% 196.41/33.35  | | |   (23)  all_56_3 = e2 & op(e2, e2) = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | ALPHA: (23) implies:
% 196.41/33.35  | | |   (24)  all_56_3 = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | COMBINE_EQS: (13), (24) imply:
% 196.41/33.35  | | |   (25)  e3 = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | COMBINE_EQS: (8), (25) imply:
% 196.41/33.35  | | |   (26)  all_56_14 = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (14), (15),
% 196.41/33.35  | | |            (17), (18), (19), (26) are inconsistent by sub-proof #973.
% 196.41/33.35  | | | 
% 196.41/33.35  | | End of split
% 196.41/33.35  | | 
% 196.41/33.35  | Case 2:
% 196.41/33.35  | | 
% 196.41/33.35  | |   (27)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 196.41/33.35  | |           e2)
% 196.41/33.35  | | 
% 196.41/33.35  | | BETA: splitting (27) gives:
% 196.41/33.35  | | 
% 196.41/33.35  | | Case 1:
% 196.41/33.35  | | | 
% 196.41/33.35  | | |   (28)  all_56_5 = e2 & op(e2, e1) = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | ALPHA: (28) implies:
% 196.41/33.35  | | |   (29)  all_56_5 = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | REF_CLOSE: (10), (18), (29) are inconsistent by sub-proof #1860.
% 196.41/33.35  | | | 
% 196.41/33.35  | | Case 2:
% 196.41/33.35  | | | 
% 196.41/33.35  | | |   (30)  all_56_10 = e2 & op(e2, e0) = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | ALPHA: (30) implies:
% 196.41/33.35  | | |   (31)  all_56_10 = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | COMBINE_EQS: (6), (31) imply:
% 196.41/33.35  | | |   (32)  e3 = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | COMBINE_EQS: (8), (32) imply:
% 196.41/33.35  | | |   (33)  all_56_14 = e2
% 196.41/33.35  | | | 
% 196.41/33.35  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (14), (15),
% 196.41/33.35  | | |            (17), (18), (19), (33) are inconsistent by sub-proof #973.
% 196.41/33.35  | | | 
% 196.41/33.35  | | End of split
% 196.41/33.35  | | 
% 196.41/33.35  | End of split
% 196.41/33.35  | 
% 196.41/33.35  End of proof
% 196.41/33.35  
% 196.41/33.35  Sub-proof #961 shows that the following formulas are inconsistent:
% 196.41/33.35  ----------------------------------------------------------------
% 196.41/33.35    (1)  all_56_2 = e3 & op(e2, e3) = e3
% 196.41/33.35    (2)  all_56_2 = e1
% 196.41/33.35    (3)   ~ (e3 = e1)
% 196.41/33.35  
% 196.41/33.35  Begin of proof
% 196.41/33.35  | 
% 196.41/33.35  | ALPHA: (1) implies:
% 196.41/33.35  |   (4)  all_56_2 = e3
% 196.41/33.35  | 
% 196.41/33.35  | COMBINE_EQS: (2), (4) imply:
% 196.41/33.35  |   (5)  e3 = e1
% 196.41/33.35  | 
% 196.41/33.35  | REDUCE: (3), (5) imply:
% 196.41/33.35  |   (6)  $false
% 196.41/33.35  | 
% 196.41/33.35  | CLOSE: (6) is inconsistent.
% 196.41/33.35  | 
% 196.41/33.35  End of proof
% 196.41/33.35  
% 196.41/33.35  Sub-proof #962 shows that the following formulas are inconsistent:
% 196.41/33.35  ----------------------------------------------------------------
% 196.41/33.35    (1)  op(e1, e1) = e1
% 196.41/33.35    (2)  all_56_1 = e1
% 196.41/33.35    (3)  all_54_7 = all_52_13
% 196.41/33.35    (4)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.41/33.35         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.41/33.35    (5)  op(e0, e0) = e1
% 196.41/33.35    (6)   ~ (all_52_13 = e2)
% 196.41/33.35    (7)   ~ (e3 = e2)
% 196.41/33.35    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.35           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.35    (9)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) = all_14_1
% 196.41/33.35           & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e0, e1) =
% 196.41/33.35           all_14_1 & $i(all_14_1))
% 196.41/33.35    (10)  all_56_13 = e3
% 196.41/33.35    (11)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.41/33.35          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.41/33.35            e2)
% 196.41/33.35    (12)  op(e2, e0) = all_52_13
% 196.41/33.35    (13)   ~ (all_52_13 = e1)
% 196.41/33.35    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.35          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.35    (15)  op(e3, e3) = e3
% 196.41/33.35    (16)  all_56_14 = e3
% 196.41/33.35    (17)   ~ (all_4_2 = e1)
% 196.41/33.35    (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.35          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.35    (19)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.41/33.35    (20)  all_56_5 = e0
% 196.41/33.35    (21)   ~ (e1 = e0)
% 196.41/33.35    (22)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.41/33.35          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.41/33.35    (23)  all_56_2 = e1
% 196.41/33.35    (24)  all_54_5 = all_4_2
% 196.41/33.35    (25)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.35          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.35    (26)  all_56_4 = e2
% 196.41/33.35    (27)  op(e0, e1) = e3
% 196.41/33.35    (28)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.35              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.41/33.35                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.41/33.35                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.41/33.35    (29)   ~ (e2 = e1)
% 196.41/33.35    (30)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.41/33.35          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.41/33.35    (31)   ~ (all_52_13 = all_4_2)
% 196.41/33.35    (32)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 196.41/33.35            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 196.41/33.35              e1) = all_16_1 & $i(all_16_1))
% 196.41/33.35    (33)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.41/33.35          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.41/33.35    (34)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.41/33.35            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.41/33.35              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.41/33.35    (35)   ~ (e3 = e1)
% 196.41/33.35    (36)   ~ (e2 = e0)
% 196.41/33.35    (37)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.41/33.35    (38)   ~ (e3 = e0)
% 196.41/33.35    (39)   ~ (all_4_2 = e2)
% 196.41/33.35    (40)  all_32_2 = all_4_2
% 196.41/33.35  
% 196.41/33.35  Begin of proof
% 196.41/33.35  | 
% 196.41/33.35  | BETA: splitting (28) gives:
% 196.41/33.35  | 
% 196.41/33.35  | Case 1:
% 196.41/33.35  | | 
% 196.41/33.35  | |   (41)  all_56_15 = e0 & op(e0, e0) = e0
% 196.41/33.35  | | 
% 196.41/33.35  | | ALPHA: (41) implies:
% 196.41/33.35  | |   (42)  op(e0, e0) = e0
% 196.41/33.35  | | 
% 196.41/33.35  | | REF_CLOSE: (5), (8), (21), (42) are inconsistent by sub-proof #1943.
% 196.41/33.35  | | 
% 196.41/33.35  | Case 2:
% 196.41/33.35  | | 
% 196.41/33.35  | |   (43)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.41/33.35  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 196.41/33.35  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.41/33.35  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.41/33.35  | | 
% 196.41/33.35  | | ALPHA: (43) implies:
% 196.41/33.35  | |   (44)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.41/33.35  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.41/33.35  | | 
% 196.41/33.35  | | BETA: splitting (44) gives:
% 196.41/33.35  | | 
% 196.41/33.35  | | Case 1:
% 196.41/33.35  | | | 
% 196.41/33.35  | | |   (45)  all_56_12 = e0 & op(e0, e3) = e0
% 196.41/33.35  | | | 
% 196.41/33.35  | | | ALPHA: (45) implies:
% 196.41/33.35  | | |   (46)  all_56_12 = e0
% 196.41/33.35  | | | 
% 196.41/33.35  | | | BETA: splitting (11) gives:
% 196.41/33.35  | | | 
% 196.41/33.35  | | | Case 1:
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | |   (47)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 196.41/33.35  | | | |             e2) = e2)
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | | BETA: splitting (47) gives:
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | | Case 1:
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | |   (48)  all_56_12 = e2 & op(e0, e3) = e2
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | REF_CLOSE: (36), (46), (48) are inconsistent by sub-proof #1060.
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | Case 2:
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | |   (49)  all_56_13 = e2 & op(e0, e2) = e2
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | ALPHA: (49) implies:
% 196.41/33.35  | | | | |   (50)  all_56_13 = e2
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | COMBINE_EQS: (10), (50) imply:
% 196.41/33.35  | | | | |   (51)  e3 = e2
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | SIMP: (51) implies:
% 196.41/33.35  | | | | |   (52)  e3 = e2
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | COMBINE_EQS: (16), (52) imply:
% 196.41/33.35  | | | | |   (53)  all_56_14 = e2
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | REF_CLOSE: (1), (2), (7), (8), (14), (15), (18), (20), (21), (25),
% 196.41/33.35  | | | | |            (29), (35), (36), (38), (53) are inconsistent by sub-proof
% 196.41/33.35  | | | | |            #973.
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | End of split
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | Case 2:
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | |   (54)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 196.41/33.35  | | | |             e0) = e2)
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | | BETA: splitting (54) gives:
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | | Case 1:
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | |   (55)  all_56_14 = e2 & op(e0, e1) = e2
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | ALPHA: (55) implies:
% 196.41/33.35  | | | | |   (56)  all_56_14 = e2
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | REF_CLOSE: (1), (2), (7), (8), (14), (15), (18), (20), (21), (25),
% 196.41/33.35  | | | | |            (29), (35), (36), (38), (56) are inconsistent by sub-proof
% 196.41/33.35  | | | | |            #973.
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | Case 2:
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | |   (57)  all_56_15 = e2 & op(e0, e0) = e2
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | ALPHA: (57) implies:
% 196.41/33.35  | | | | |   (58)  op(e0, e0) = e2
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | | REF_CLOSE: (5), (8), (29), (58) are inconsistent by sub-proof #1780.
% 196.41/33.35  | | | | | 
% 196.41/33.35  | | | | End of split
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | End of split
% 196.41/33.35  | | | 
% 196.41/33.35  | | Case 2:
% 196.41/33.35  | | | 
% 196.41/33.35  | | |   (59)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 196.41/33.35  | | |           = e0)
% 196.41/33.35  | | | 
% 196.41/33.35  | | | BETA: splitting (59) gives:
% 196.41/33.35  | | | 
% 196.41/33.35  | | | Case 1:
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | |   (60)  all_56_13 = e0 & op(e0, e2) = e0
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | | ALPHA: (60) implies:
% 196.41/33.35  | | | |   (61)  all_56_13 = e0
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | | REF_CLOSE: (10), (38), (61) are inconsistent by sub-proof #1360.
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | Case 2:
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | |   (62)  all_56_14 = e0 & op(e0, e1) = e0
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (12), (13),
% 196.41/33.35  | | | |            (14), (15), (17), (18), (19), (21), (22), (23), (24), (25),
% 196.41/33.35  | | | |            (26), (27), (29), (30), (31), (32), (33), (34), (35), (36),
% 196.41/33.35  | | | |            (37), (38), (39), (40), (62) are inconsistent by sub-proof
% 196.41/33.35  | | | |            #963.
% 196.41/33.35  | | | | 
% 196.41/33.35  | | | End of split
% 196.41/33.35  | | | 
% 196.41/33.35  | | End of split
% 196.41/33.35  | | 
% 196.41/33.35  | End of split
% 196.41/33.35  | 
% 196.41/33.35  End of proof
% 196.41/33.35  
% 196.41/33.35  Sub-proof #963 shows that the following formulas are inconsistent:
% 196.41/33.35  ----------------------------------------------------------------
% 196.41/33.35    (1)  op(e1, e1) = e1
% 196.41/33.35    (2)  all_56_1 = e1
% 196.41/33.35    (3)  all_54_7 = all_52_13
% 196.41/33.35    (4)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.41/33.35         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.41/33.35    (5)  op(e0, e0) = e1
% 196.41/33.35    (6)   ~ (all_52_13 = e2)
% 196.41/33.35    (7)   ~ (e3 = e2)
% 196.41/33.35    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.35           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.35    (9)  ( ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 & op(e0, e1) = all_14_1
% 196.41/33.35           & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e0, e1) =
% 196.41/33.35           all_14_1 & $i(all_14_1))
% 196.41/33.35    (10)  op(e2, e0) = all_52_13
% 196.41/33.35    (11)   ~ (all_52_13 = e1)
% 196.41/33.35    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.35          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.35    (13)  all_56_14 = e0 & op(e0, e1) = e0
% 196.41/33.35    (14)  op(e3, e3) = e3
% 196.41/33.35    (15)   ~ (all_4_2 = e1)
% 196.41/33.35    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.35          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.35    (17)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.41/33.35    (18)   ~ (e1 = e0)
% 196.41/33.35    (19)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.41/33.35          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.41/33.35    (20)  all_56_2 = e1
% 196.41/33.35    (21)  all_54_5 = all_4_2
% 196.41/33.35    (22)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.35          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.35    (23)  all_56_4 = e2
% 196.41/33.35    (24)  op(e0, e1) = e3
% 196.41/33.35    (25)   ~ (e2 = e1)
% 196.41/33.35    (26)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.41/33.35          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.41/33.35    (27)   ~ (all_52_13 = all_4_2)
% 196.41/33.35    (28)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 196.41/33.35            all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0,
% 196.41/33.35              e1) = all_16_1 & $i(all_16_1))
% 196.41/33.35    (29)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.41/33.35          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.41/33.35    (30)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.41/33.35            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.41/33.35              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.41/33.35    (31)   ~ (e3 = e1)
% 196.41/33.35    (32)   ~ (e2 = e0)
% 196.41/33.35    (33)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.41/33.35    (34)   ~ (e3 = e0)
% 196.41/33.35    (35)   ~ (all_4_2 = e2)
% 196.41/33.35    (36)  all_32_2 = all_4_2
% 196.41/33.35  
% 196.41/33.35  Begin of proof
% 196.41/33.35  | 
% 196.41/33.35  | ALPHA: (13) implies:
% 196.41/33.35  |   (37)  all_56_14 = e0
% 196.41/33.35  |   (38)  op(e0, e1) = e0
% 196.41/33.35  | 
% 196.41/33.35  | BETA: splitting (22) gives:
% 196.41/33.35  | 
% 196.41/33.35  | Case 1:
% 196.41/33.35  | | 
% 196.41/33.35  | |   (39)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 196.41/33.35  | |           e3)
% 196.41/33.35  | | 
% 196.41/33.35  | | BETA: splitting (39) gives:
% 196.41/33.35  | | 
% 196.41/33.35  | | Case 1:
% 196.41/33.35  | | | 
% 196.41/33.35  | | |   (40)  all_56_4 = e3 & op(e3, e1) = e3
% 196.41/33.35  | | | 
% 196.41/33.35  | | | ALPHA: (40) implies:
% 196.41/33.35  | | |   (41)  all_56_4 = e3
% 196.41/33.35  | | | 
% 196.41/33.35  | | | REF_CLOSE: (2), (7), (8), (12), (14), (16), (18), (25), (32), (34), (41)
% 196.41/33.35  | | |            are inconsistent by sub-proof #977.
% 196.41/33.35  | | | 
% 196.41/33.36  | | Case 2:
% 196.41/33.36  | | | 
% 196.41/33.36  | | |   (42)  all_56_5 = e3 & op(e2, e1) = e3
% 196.41/33.36  | | | 
% 196.41/33.36  | | | ALPHA: (42) implies:
% 196.41/33.36  | | |   (43)  all_56_5 = e3
% 196.41/33.36  | | | 
% 196.41/33.36  | | | BETA: splitting (29) gives:
% 196.41/33.36  | | | 
% 196.41/33.36  | | | Case 1:
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | |   (44)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0)
% 196.41/33.36  | | | |           = e2)
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | | BETA: splitting (44) gives:
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | | Case 1:
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | |   (45)  all_56_9 = e2 & op(e3, e0) = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | ALPHA: (45) implies:
% 196.41/33.36  | | | | |   (46)  all_56_9 = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | REF_CLOSE: (2), (8), (14), (16), (18), (23), (32), (34), (46) are
% 196.41/33.36  | | | | |            inconsistent by sub-proof #1532.
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | Case 2:
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | |   (47)  all_56_10 = e2 & op(e2, e0) = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | ALPHA: (47) implies:
% 196.41/33.36  | | | | |   (48)  op(e2, e0) = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | BETA: splitting (33) gives:
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | Case 1:
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | |   (49)  all_54_5 = e2
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | | REF_CLOSE: (21), (35), (49) are inconsistent by sub-proof #1106.
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | Case 2:
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | |   (50)   ~ (all_54_5 = e2)
% 196.41/33.36  | | | | | |   (51)  all_54_5 = e1 | all_54_5 = e0
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | | BETA: splitting (51) gives:
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | | Case 1:
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | |   (52)  all_54_5 = e1
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | REF_CLOSE: (15), (21), (52) are inconsistent by sub-proof #1089.
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | Case 2:
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | |   (53)  all_54_5 = e0
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | COMBINE_EQS: (21), (53) imply:
% 196.41/33.36  | | | | | | |   (54)  all_4_2 = e0
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | SIMP: (54) implies:
% 196.41/33.36  | | | | | | |   (55)  all_4_2 = e0
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | COMBINE_EQS: (36), (55) imply:
% 196.41/33.36  | | | | | | |   (56)  all_32_2 = e0
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | REDUCE: (27), (55) imply:
% 196.41/33.36  | | | | | | |   (57)   ~ (all_52_13 = e0)
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | REDUCE: (35), (55) imply:
% 196.41/33.36  | | | | | | |   (58)   ~ (e2 = e0)
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | BETA: splitting (17) gives:
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | Case 1:
% 196.41/33.36  | | | | | | | | 
% 196.41/33.36  | | | | | | | |   (59)  all_54_7 = e3
% 196.41/33.36  | | | | | | | | 
% 196.41/33.36  | | | | | | | | COMBINE_EQS: (3), (59) imply:
% 196.41/33.36  | | | | | | | |   (60)  all_52_13 = e3
% 196.41/33.36  | | | | | | | | 
% 196.41/33.36  | | | | | | | | SIMP: (60) implies:
% 196.41/33.36  | | | | | | | |   (61)  all_52_13 = e3
% 196.41/33.36  | | | | | | | | 
% 196.41/33.36  | | | | | | | | REDUCE: (10), (61) imply:
% 196.41/33.36  | | | | | | | |   (62)  op(e2, e0) = e3
% 196.41/33.36  | | | | | | | | 
% 196.41/33.36  | | | | | | | | BETA: splitting (30) gives:
% 196.41/33.36  | | | | | | | | 
% 196.41/33.36  | | | | | | | | Case 1:
% 196.41/33.36  | | | | | | | | | 
% 196.41/33.36  | | | | | | | | |   (63)   ~ (all_32_2 = e0)
% 196.41/33.36  | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | REDUCE: (56), (63) imply:
% 196.41/33.36  | | | | | | | | |   (64)  $false
% 196.41/33.36  | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | CLOSE: (64) is inconsistent.
% 196.41/33.36  | | | | | | | | | 
% 196.41/33.36  | | | | | | | | Case 2:
% 196.41/33.36  | | | | | | | | | 
% 196.41/33.36  | | | | | | | | |   (65)  ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.41/33.36  | | | | | | | | |           op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1))
% 196.41/33.36  | | | | | | | | |         | ( ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 &
% 196.41/33.36  | | | | | | | | |           $i(all_32_1))
% 196.41/33.36  | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | BETA: splitting (9) gives:
% 196.41/33.36  | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | Case 1:
% 196.41/33.36  | | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | |   (66)   ~ (all_14_0 = e2) & op(all_14_1, e0) = all_14_0 &
% 196.41/33.36  | | | | | | | | | |         op(e0, e1) = all_14_1 & $i(all_14_0) & $i(all_14_1)
% 196.41/33.36  | | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | | ALPHA: (66) implies:
% 196.41/33.36  | | | | | | | | | |   (67)  op(e0, e1) = all_14_1
% 196.41/33.36  | | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | | REF_CLOSE: (8), (24), (28), (32), (38), (48), (62), (65),
% 196.41/33.36  | | | | | | | | | |            (67) are inconsistent by sub-proof #969.
% 196.41/33.36  | | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | Case 2:
% 196.41/33.36  | | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | |   (68)   ~ (all_14_1 = e3) & op(e0, e1) = all_14_1 &
% 196.41/33.36  | | | | | | | | | |         $i(all_14_1)
% 196.41/33.36  | | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | | ALPHA: (68) implies:
% 196.41/33.36  | | | | | | | | | |   (69)  op(e0, e1) = all_14_1
% 196.41/33.36  | | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | | REF_CLOSE: (8), (24), (28), (32), (38), (48), (62), (65),
% 196.41/33.36  | | | | | | | | | |            (69) are inconsistent by sub-proof #969.
% 196.41/33.36  | | | | | | | | | | 
% 196.41/33.36  | | | | | | | | | End of split
% 196.41/33.36  | | | | | | | | | 
% 196.41/33.36  | | | | | | | | End of split
% 196.41/33.36  | | | | | | | | 
% 196.41/33.36  | | | | | | | Case 2:
% 196.41/33.36  | | | | | | | | 
% 196.41/33.36  | | | | | | | |   (70)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.41/33.36  | | | | | | | | 
% 196.41/33.36  | | | | | | | | REF_CLOSE: (3), (6), (11), (57), (70) are inconsistent by
% 196.41/33.36  | | | | | | | |            sub-proof #1375.
% 196.41/33.36  | | | | | | | | 
% 196.41/33.36  | | | | | | | End of split
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | End of split
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | End of split
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | End of split
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | Case 2:
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | |   (71)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 196.41/33.36  | | | |             e0) = e2)
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | | BETA: splitting (71) gives:
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | | Case 1:
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | |   (72)  all_56_11 = e2 & op(e1, e0) = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | ALPHA: (72) implies:
% 196.41/33.36  | | | | |   (73)  all_56_11 = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | BETA: splitting (19) gives:
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | Case 1:
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | |   (74)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2,
% 196.41/33.36  | | | | | |             e0) = e3)
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | | BETA: splitting (74) gives:
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | | Case 1:
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | |   (75)  all_56_9 = e3 & op(e3, e0) = e3
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | REF_CLOSE: (2), (7), (8), (12), (14), (16), (18), (25), (32),
% 196.41/33.36  | | | | | | |            (34), (75) are inconsistent by sub-proof #966.
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | Case 2:
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | |   (76)  all_56_10 = e3 & op(e2, e0) = e3
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | REF_CLOSE: (4), (7), (18), (20), (25), (26), (32), (34), (43),
% 196.41/33.36  | | | | | | |            (76) are inconsistent by sub-proof #1085.
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | End of split
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | Case 2:
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | |   (77)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 196.41/33.36  | | | | | |           op(e0, e0) = e3)
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | | REF_CLOSE: (5), (7), (8), (31), (73), (77) are inconsistent by
% 196.41/33.36  | | | | | |            sub-proof #1084.
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | End of split
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | Case 2:
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | |   (78)  all_56_15 = e2 & op(e0, e0) = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | ALPHA: (78) implies:
% 196.41/33.36  | | | | |   (79)  op(e0, e0) = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | REF_CLOSE: (5), (8), (25), (79) are inconsistent by sub-proof #1780.
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | End of split
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | End of split
% 196.41/33.36  | | | 
% 196.41/33.36  | | End of split
% 196.41/33.36  | | 
% 196.41/33.36  | Case 2:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (80)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 196.41/33.36  | |           e3)
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (8), (31), (34), (37), (80) are inconsistent by sub-proof
% 196.41/33.36  | |            #964.
% 196.41/33.36  | | 
% 196.41/33.36  | End of split
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #964 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)  op(e1, e1) = e1
% 196.41/33.36    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (3)  all_56_14 = e0
% 196.41/33.36    (4)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.36    (5)   ~ (e3 = e1)
% 196.41/33.36    (6)   ~ (e3 = e0)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | BETA: splitting (4) gives:
% 196.41/33.36  | 
% 196.41/33.36  | Case 1:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 196.41/33.36  | | 
% 196.41/33.36  | | ALPHA: (7) implies:
% 196.41/33.36  | |   (8)  op(e1, e1) = e3
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1978.
% 196.41/33.36  | | 
% 196.41/33.36  | Case 2:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #965.
% 196.41/33.36  | | 
% 196.41/33.36  | End of split
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #965 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)  all_56_14 = e3 & op(e0, e1) = e3
% 196.41/33.36    (2)  all_56_14 = e0
% 196.41/33.36    (3)   ~ (e3 = e0)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | ALPHA: (1) implies:
% 196.41/33.36  |   (4)  all_56_14 = e3
% 196.41/33.36  | 
% 196.41/33.36  | COMBINE_EQS: (2), (4) imply:
% 196.41/33.36  |   (5)  e3 = e0
% 196.41/33.36  | 
% 196.41/33.36  | REDUCE: (3), (5) imply:
% 196.41/33.36  |   (6)  $false
% 196.41/33.36  | 
% 196.41/33.36  | CLOSE: (6) is inconsistent.
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #966 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)  all_56_1 = e1
% 196.41/33.36    (2)   ~ (e3 = e2)
% 196.41/33.36    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (4)  all_56_9 = e3 & op(e3, e0) = e3
% 196.41/33.36    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.36         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.36    (6)  op(e3, e3) = e3
% 196.41/33.36    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.36         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.36    (8)   ~ (e1 = e0)
% 196.41/33.36    (9)   ~ (e2 = e1)
% 196.41/33.36    (10)   ~ (e2 = e0)
% 196.41/33.36    (11)   ~ (e3 = e0)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | ALPHA: (4) implies:
% 196.41/33.36  |   (12)  all_56_9 = e3
% 196.41/33.36  | 
% 196.41/33.36  | BETA: splitting (7) gives:
% 196.41/33.36  | 
% 196.41/33.36  | Case 1:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 196.41/33.36  | |           e0)
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (3), (6), (8), (11), (13) are inconsistent by sub-proof
% 196.41/33.36  | |            #1533.
% 196.41/33.36  | | 
% 196.41/33.36  | Case 2:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 196.41/33.36  | |           e0)
% 196.41/33.36  | | 
% 196.41/33.36  | | BETA: splitting (14) gives:
% 196.41/33.36  | | 
% 196.41/33.36  | | Case 1:
% 196.41/33.36  | | | 
% 196.41/33.36  | | |   (15)  all_56_4 = e0 & op(e3, e1) = e0
% 196.41/33.36  | | | 
% 196.41/33.36  | | | ALPHA: (15) implies:
% 196.41/33.36  | | |   (16)  all_56_4 = e0
% 196.41/33.36  | | | 
% 196.41/33.36  | | | REF_CLOSE: (1), (2), (3), (5), (6), (9), (10), (12), (16) are inconsistent
% 196.41/33.36  | | |            by sub-proof #967.
% 196.41/33.36  | | | 
% 196.41/33.36  | | Case 2:
% 196.41/33.36  | | | 
% 196.41/33.36  | | |   (17)  all_56_9 = e0 & op(e3, e0) = e0
% 196.41/33.36  | | | 
% 196.41/33.36  | | | ALPHA: (17) implies:
% 196.41/33.36  | | |   (18)  all_56_9 = e0
% 196.41/33.36  | | | 
% 196.41/33.36  | | | COMBINE_EQS: (12), (18) imply:
% 196.41/33.36  | | |   (19)  e3 = e0
% 196.41/33.36  | | | 
% 196.41/33.36  | | | REDUCE: (11), (19) imply:
% 196.41/33.36  | | |   (20)  $false
% 196.41/33.36  | | | 
% 196.41/33.36  | | | CLOSE: (20) is inconsistent.
% 196.41/33.36  | | | 
% 196.41/33.36  | | End of split
% 196.41/33.36  | | 
% 196.41/33.36  | End of split
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #967 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)  all_56_1 = e1
% 196.41/33.36    (2)  all_56_9 = e3
% 196.41/33.36    (3)   ~ (e3 = e2)
% 196.41/33.36    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.36         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.36    (6)  op(e3, e3) = e3
% 196.41/33.36    (7)   ~ (e2 = e1)
% 196.41/33.36    (8)  all_56_4 = e0
% 196.41/33.36    (9)   ~ (e2 = e0)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | BETA: splitting (5) gives:
% 196.41/33.36  | 
% 196.41/33.36  | Case 1:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 196.41/33.36  | |           e2)
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (3), (4), (6), (7), (10) are inconsistent by sub-proof
% 196.41/33.36  | |            #1502.
% 196.41/33.36  | | 
% 196.41/33.36  | Case 2:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 196.41/33.36  | |           e2)
% 196.41/33.36  | | 
% 196.41/33.36  | | BETA: splitting (11) gives:
% 196.41/33.36  | | 
% 196.41/33.36  | | Case 1:
% 196.41/33.36  | | | 
% 196.41/33.36  | | |   (12)  all_56_4 = e2 & op(e3, e1) = e2
% 196.41/33.36  | | | 
% 196.41/33.36  | | | ALPHA: (12) implies:
% 196.41/33.36  | | |   (13)  all_56_4 = e2
% 196.41/33.36  | | | 
% 196.41/33.36  | | | REF_CLOSE: (8), (9), (13) are inconsistent by sub-proof #1823.
% 196.41/33.36  | | | 
% 196.41/33.36  | | Case 2:
% 196.41/33.36  | | | 
% 196.41/33.36  | | |   (14)  all_56_9 = e2 & op(e3, e0) = e2
% 196.41/33.36  | | | 
% 196.41/33.36  | | | REF_CLOSE: (2), (3), (14) are inconsistent by sub-proof #968.
% 196.41/33.36  | | | 
% 196.41/33.36  | | End of split
% 196.41/33.36  | | 
% 196.41/33.36  | End of split
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #968 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)  all_56_9 = e2 & op(e3, e0) = e2
% 196.41/33.36    (2)  all_56_9 = e3
% 196.41/33.36    (3)   ~ (e3 = e2)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | ALPHA: (1) implies:
% 196.41/33.36  |   (4)  all_56_9 = e2
% 196.41/33.36  | 
% 196.41/33.36  | COMBINE_EQS: (2), (4) imply:
% 196.41/33.36  |   (5)  e3 = e2
% 196.41/33.36  | 
% 196.41/33.36  | REDUCE: (3), (5) imply:
% 196.41/33.36  |   (6)  $false
% 196.41/33.36  | 
% 196.41/33.36  | CLOSE: (6) is inconsistent.
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #969 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (2)  op(e2, e0) = e3
% 196.41/33.36    (3)  op(e2, e0) = e2
% 196.41/33.36    (4)  op(e0, e1) = e0
% 196.41/33.36    (5)  ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 & op(e2, e0) = all_32_1
% 196.41/33.36           & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 = e1) & op(e2, e0) =
% 196.41/33.36           all_32_1 & $i(all_32_1))
% 196.41/33.36    (6)  op(e0, e1) = e3
% 196.41/33.36    (7)  op(e0, e1) = all_14_1
% 196.41/33.36    (8)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) = all_16_1
% 196.41/33.36           & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0, e1) =
% 196.41/33.36           all_16_1 & $i(all_16_1))
% 196.41/33.36    (9)   ~ (e2 = e0)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | BETA: splitting (5) gives:
% 196.41/33.36  | 
% 196.41/33.36  | Case 1:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (10)   ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 & op(e2, e0) =
% 196.41/33.36  | |         all_32_1 & $i(all_32_0) & $i(all_32_1)
% 196.41/33.36  | | 
% 196.41/33.36  | | ALPHA: (10) implies:
% 196.41/33.36  | |   (11)  op(e2, e0) = all_32_1
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11) are inconsistent by
% 196.41/33.36  | |            sub-proof #970.
% 196.41/33.36  | | 
% 196.41/33.36  | Case 2:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (12)   ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 & $i(all_32_1)
% 196.41/33.36  | | 
% 196.41/33.36  | | ALPHA: (12) implies:
% 196.41/33.36  | |   (13)  op(e2, e0) = all_32_1
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (13) are inconsistent by
% 196.41/33.36  | |            sub-proof #970.
% 196.41/33.36  | | 
% 196.41/33.36  | End of split
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #970 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (2)  op(e2, e0) = e3
% 196.41/33.36    (3)  op(e2, e0) = all_32_1
% 196.41/33.36    (4)  op(e2, e0) = e2
% 196.41/33.36    (5)  op(e0, e1) = e0
% 196.41/33.36    (6)  op(e0, e1) = e3
% 196.41/33.36    (7)  op(e0, e1) = all_14_1
% 196.41/33.36    (8)  ( ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) = all_16_1
% 196.41/33.36           & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e2) & op(e0, e1) =
% 196.41/33.36           all_16_1 & $i(all_16_1))
% 196.41/33.36    (9)   ~ (e2 = e0)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | BETA: splitting (8) gives:
% 196.41/33.36  | 
% 196.41/33.36  | Case 1:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (10)   ~ (all_16_0 = e3) & op(all_16_1, e0) = all_16_0 & op(e0, e1) =
% 196.41/33.36  | |         all_16_1 & $i(all_16_0) & $i(all_16_1)
% 196.41/33.36  | | 
% 196.41/33.36  | | ALPHA: (10) implies:
% 196.41/33.36  | |   (11)  op(e0, e1) = all_16_1
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11) are inconsistent by
% 196.41/33.36  | |            sub-proof #971.
% 196.41/33.36  | | 
% 196.41/33.36  | Case 2:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (12)   ~ (all_16_1 = e2) & op(e0, e1) = all_16_1 & $i(all_16_1)
% 196.41/33.36  | | 
% 196.41/33.36  | | ALPHA: (12) implies:
% 196.41/33.36  | |   (13)  op(e0, e1) = all_16_1
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (13) are inconsistent by
% 196.41/33.36  | |            sub-proof #971.
% 196.41/33.36  | | 
% 196.41/33.36  | End of split
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #971 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (2)  op(e2, e0) = e3
% 196.41/33.36    (3)  op(e2, e0) = all_32_1
% 196.41/33.36    (4)  op(e2, e0) = e2
% 196.41/33.36    (5)  op(e0, e1) = all_16_1
% 196.41/33.36    (6)  op(e0, e1) = e0
% 196.41/33.36    (7)  op(e0, e1) = e3
% 196.41/33.36    (8)  op(e0, e1) = all_14_1
% 196.41/33.36    (9)   ~ (e2 = e0)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | GROUND_INST: instantiating (1) with e3, all_14_1, e1, e0, simplifying with
% 196.41/33.36  |              (7), (8) gives:
% 196.41/33.36  |   (10)  all_14_1 = e3
% 196.41/33.36  | 
% 196.41/33.36  | GROUND_INST: instantiating (1) with all_14_1, all_16_1, e1, e0, simplifying
% 196.41/33.36  |              with (5), (8) gives:
% 196.41/33.36  |   (11)  all_16_1 = all_14_1
% 196.41/33.36  | 
% 196.41/33.36  | GROUND_INST: instantiating (1) with e0, all_16_1, e1, e0, simplifying with
% 196.41/33.36  |              (5), (6) gives:
% 196.41/33.36  |   (12)  all_16_1 = e0
% 196.41/33.36  | 
% 196.41/33.36  | GROUND_INST: instantiating (1) with e3, all_32_1, e0, e2, simplifying with
% 196.41/33.36  |              (2), (3) gives:
% 196.41/33.36  |   (13)  all_32_1 = e3
% 196.41/33.36  | 
% 196.41/33.36  | GROUND_INST: instantiating (1) with e2, all_32_1, e0, e2, simplifying with
% 196.41/33.36  |              (3), (4) gives:
% 196.41/33.36  |   (14)  all_32_1 = e2
% 196.41/33.36  | 
% 196.41/33.36  | COMBINE_EQS: (13), (14) imply:
% 196.41/33.36  |   (15)  e3 = e2
% 196.41/33.36  | 
% 196.41/33.36  | COMBINE_EQS: (11), (12) imply:
% 196.41/33.36  |   (16)  all_14_1 = e0
% 196.41/33.36  | 
% 196.41/33.36  | SIMP: (16) implies:
% 196.41/33.36  |   (17)  all_14_1 = e0
% 196.41/33.36  | 
% 196.41/33.36  | COMBINE_EQS: (10), (17) imply:
% 196.41/33.36  |   (18)  e3 = e0
% 196.41/33.36  | 
% 196.41/33.36  | SIMP: (18) implies:
% 196.41/33.36  |   (19)  e3 = e0
% 196.41/33.36  | 
% 196.41/33.36  | COMBINE_EQS: (15), (19) imply:
% 196.41/33.36  |   (20)  e2 = e0
% 196.41/33.36  | 
% 196.41/33.36  | SIMP: (20) implies:
% 196.41/33.36  |   (21)  e2 = e0
% 196.41/33.36  | 
% 196.41/33.36  | REDUCE: (9), (21) imply:
% 196.41/33.36  |   (22)  $false
% 196.41/33.36  | 
% 196.41/33.36  | CLOSE: (22) is inconsistent.
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #972 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)  op(e1, e1) = e1
% 196.41/33.36    (2)  all_56_1 = e1
% 196.41/33.36    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.41/33.36         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.41/33.36    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.41/33.36         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.41/33.36    (5)   ~ (e3 = e2)
% 196.41/33.36    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (7)  all_56_12 = e3
% 196.41/33.36    (8)  all_56_14 = e2
% 196.41/33.36    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.36         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.36    (10)  op(e3, e3) = e3
% 196.41/33.36    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.36          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.36    (12)   ~ (e1 = e0)
% 196.41/33.36    (13)  all_56_2 = e1
% 196.41/33.36    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.36          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.36    (15)   ~ (e2 = e1)
% 196.41/33.36    (16)   ~ (e3 = e1)
% 196.41/33.36    (17)   ~ (e2 = e0)
% 196.41/33.36    (18)   ~ (e3 = e0)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | BETA: splitting (14) gives:
% 196.41/33.36  | 
% 196.41/33.36  | Case 1:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (19)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 196.41/33.36  | |           e3)
% 196.41/33.36  | | 
% 196.41/33.36  | | BETA: splitting (19) gives:
% 196.41/33.36  | | 
% 196.41/33.36  | | Case 1:
% 196.41/33.36  | | | 
% 196.41/33.36  | | |   (20)  all_56_4 = e3 & op(e3, e1) = e3
% 196.41/33.36  | | | 
% 196.41/33.36  | | | ALPHA: (20) implies:
% 196.41/33.36  | | |   (21)  all_56_4 = e3
% 196.41/33.36  | | | 
% 196.41/33.36  | | | REF_CLOSE: (2), (5), (6), (9), (10), (11), (12), (15), (17), (18), (21)
% 196.41/33.36  | | |            are inconsistent by sub-proof #977.
% 196.41/33.36  | | | 
% 196.41/33.36  | | Case 2:
% 196.41/33.36  | | | 
% 196.41/33.36  | | |   (22)  all_56_5 = e3 & op(e2, e1) = e3
% 196.41/33.36  | | | 
% 196.41/33.36  | | | ALPHA: (22) implies:
% 196.41/33.36  | | |   (23)  all_56_5 = e3
% 196.41/33.36  | | | 
% 196.41/33.36  | | | BETA: splitting (3) gives:
% 196.41/33.36  | | | 
% 196.41/33.36  | | | Case 1:
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | |   (24)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 196.41/33.36  | | | |           = e2)
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | | REF_CLOSE: (5), (6), (10), (13), (15), (24) are inconsistent by
% 196.41/33.36  | | | |            sub-proof #975.
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | Case 2:
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | |   (25)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3)
% 196.41/33.36  | | | |           = e2)
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | | BETA: splitting (25) gives:
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | | Case 1:
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | |   (26)  all_56_6 = e2 & op(e1, e3) = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | ALPHA: (26) implies:
% 196.41/33.36  | | | | |   (27)  all_56_6 = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | BETA: splitting (4) gives:
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | Case 1:
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | |   (28)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2,
% 196.41/33.36  | | | | | |             e3) = e0)
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | | REF_CLOSE: (6), (10), (12), (13), (18), (28) are inconsistent by
% 196.41/33.36  | | | | | |            sub-proof #1602.
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | Case 2:
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | |   (29)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0,
% 196.41/33.36  | | | | | |             e3) = e0)
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | | BETA: splitting (29) gives:
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | | Case 1:
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | |   (30)  all_56_6 = e0 & op(e1, e3) = e0
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | REF_CLOSE: (17), (27), (30) are inconsistent by sub-proof #1601.
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | Case 2:
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | |   (31)  all_56_12 = e0 & op(e0, e3) = e0
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | ALPHA: (31) implies:
% 196.41/33.36  | | | | | | |   (32)  all_56_12 = e0
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | COMBINE_EQS: (7), (32) imply:
% 196.41/33.36  | | | | | | |   (33)  e3 = e0
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | SIMP: (33) implies:
% 196.41/33.36  | | | | | | |   (34)  e3 = e0
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | COMBINE_EQS: (23), (34) imply:
% 196.41/33.36  | | | | | | |   (35)  all_56_5 = e0
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | | REF_CLOSE: (1), (2), (5), (6), (8), (9), (10), (11), (12), (14),
% 196.41/33.36  | | | | | | |            (15), (16), (17), (18), (35) are inconsistent by
% 196.41/33.36  | | | | | | |            sub-proof #973.
% 196.41/33.36  | | | | | | | 
% 196.41/33.36  | | | | | | End of split
% 196.41/33.36  | | | | | | 
% 196.41/33.36  | | | | | End of split
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | Case 2:
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | |   (36)  all_56_12 = e2 & op(e0, e3) = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | ALPHA: (36) implies:
% 196.41/33.36  | | | | |   (37)  all_56_12 = e2
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | | REF_CLOSE: (5), (7), (37) are inconsistent by sub-proof #1354.
% 196.41/33.36  | | | | | 
% 196.41/33.36  | | | | End of split
% 196.41/33.36  | | | | 
% 196.41/33.36  | | | End of split
% 196.41/33.36  | | | 
% 196.41/33.36  | | End of split
% 196.41/33.36  | | 
% 196.41/33.36  | Case 2:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (38)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 196.41/33.36  | |           e3)
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (5), (6), (8), (16), (38) are inconsistent by sub-proof
% 196.41/33.36  | |            #974.
% 196.41/33.36  | | 
% 196.41/33.36  | End of split
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #973 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)  op(e1, e1) = e1
% 196.41/33.36    (2)  all_56_1 = e1
% 196.41/33.36    (3)   ~ (e3 = e2)
% 196.41/33.36    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (5)  all_56_14 = e2
% 196.41/33.36    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.36         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.36    (7)  op(e3, e3) = e3
% 196.41/33.36    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.36         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.36    (9)  all_56_5 = e0
% 196.41/33.36    (10)   ~ (e1 = e0)
% 196.41/33.36    (11)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.36          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.36    (12)   ~ (e2 = e1)
% 196.41/33.36    (13)   ~ (e3 = e1)
% 196.41/33.36    (14)   ~ (e2 = e0)
% 196.41/33.36    (15)   ~ (e3 = e0)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | BETA: splitting (11) gives:
% 196.41/33.36  | 
% 196.41/33.36  | Case 1:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (16)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 196.41/33.36  | |           e3)
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (12), (14), (15), (16)
% 196.41/33.36  | |            are inconsistent by sub-proof #976.
% 196.41/33.36  | | 
% 196.41/33.36  | Case 2:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (17)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 196.41/33.36  | |           e3)
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (3), (4), (5), (13), (17) are inconsistent by sub-proof
% 196.41/33.36  | |            #974.
% 196.41/33.36  | | 
% 196.41/33.36  | End of split
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #974 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)  op(e1, e1) = e1
% 196.41/33.36    (2)   ~ (e3 = e2)
% 196.41/33.36    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (4)  all_56_14 = e2
% 196.41/33.36    (5)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.36    (6)   ~ (e3 = e1)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | BETA: splitting (5) gives:
% 196.41/33.36  | 
% 196.41/33.36  | Case 1:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 196.41/33.36  | | 
% 196.41/33.36  | | ALPHA: (7) implies:
% 196.41/33.36  | |   (8)  op(e1, e1) = e3
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1978.
% 196.41/33.36  | | 
% 196.41/33.36  | Case 2:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #1698.
% 196.41/33.36  | | 
% 196.41/33.36  | End of split
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #975 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)   ~ (e3 = e2)
% 196.41/33.36    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (3)  op(e3, e3) = e3
% 196.41/33.36    (4)  all_56_2 = e1
% 196.41/33.36    (5)   ~ (e2 = e1)
% 196.41/33.36    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 196.41/33.36  
% 196.41/33.36  Begin of proof
% 196.41/33.36  | 
% 196.41/33.36  | BETA: splitting (6) gives:
% 196.41/33.36  | 
% 196.41/33.36  | Case 1:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 196.41/33.36  | | 
% 196.41/33.36  | | ALPHA: (7) implies:
% 196.41/33.36  | |   (8)  op(e3, e3) = e2
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1957.
% 196.41/33.36  | | 
% 196.41/33.36  | Case 2:
% 196.41/33.36  | | 
% 196.41/33.36  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 196.41/33.36  | | 
% 196.41/33.36  | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #1304.
% 196.41/33.36  | | 
% 196.41/33.36  | End of split
% 196.41/33.36  | 
% 196.41/33.36  End of proof
% 196.41/33.36  
% 196.41/33.36  Sub-proof #976 shows that the following formulas are inconsistent:
% 196.41/33.36  ----------------------------------------------------------------
% 196.41/33.36    (1)  all_56_1 = e1
% 196.41/33.36    (2)   ~ (e3 = e2)
% 196.41/33.36    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.36    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 196.41/33.36    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.36         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.36    (6)  op(e3, e3) = e3
% 196.41/33.37    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.37         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.37    (8)  all_56_5 = e0
% 196.41/33.37    (9)   ~ (e1 = e0)
% 196.41/33.37    (10)   ~ (e2 = e1)
% 196.41/33.37    (11)   ~ (e2 = e0)
% 196.41/33.37    (12)   ~ (e3 = e0)
% 196.41/33.37  
% 196.41/33.37  Begin of proof
% 196.41/33.37  | 
% 196.41/33.37  | BETA: splitting (4) gives:
% 196.41/33.37  | 
% 196.41/33.37  | Case 1:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (13)  all_56_4 = e3 & op(e3, e1) = e3
% 196.41/33.37  | | 
% 196.41/33.37  | | ALPHA: (13) implies:
% 196.41/33.37  | |   (14)  all_56_4 = e3
% 196.41/33.37  | | 
% 196.41/33.37  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (11), (12), (14) are
% 196.41/33.37  | |            inconsistent by sub-proof #977.
% 196.41/33.37  | | 
% 196.41/33.37  | Case 2:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 196.41/33.37  | | 
% 196.41/33.37  | | ALPHA: (15) implies:
% 196.41/33.37  | |   (16)  all_56_5 = e3
% 196.41/33.37  | | 
% 196.41/33.37  | | REF_CLOSE: (8), (12), (16) are inconsistent by sub-proof #1838.
% 196.41/33.37  | | 
% 196.41/33.37  | End of split
% 196.41/33.37  | 
% 196.41/33.37  End of proof
% 196.41/33.37  
% 196.41/33.37  Sub-proof #977 shows that the following formulas are inconsistent:
% 196.41/33.37  ----------------------------------------------------------------
% 196.41/33.37    (1)  all_56_1 = e1
% 196.41/33.37    (2)   ~ (e3 = e2)
% 196.41/33.37    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.37    (4)  all_56_4 = e3
% 196.41/33.37    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.41/33.37         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.41/33.37    (6)  op(e3, e3) = e3
% 196.41/33.37    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.37         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.37    (8)   ~ (e1 = e0)
% 196.41/33.37    (9)   ~ (e2 = e1)
% 196.41/33.37    (10)   ~ (e2 = e0)
% 196.41/33.37    (11)   ~ (e3 = e0)
% 196.41/33.37  
% 196.41/33.37  Begin of proof
% 196.41/33.37  | 
% 196.41/33.37  | BETA: splitting (7) gives:
% 196.41/33.37  | 
% 196.41/33.37  | Case 1:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 196.41/33.37  | |           e0)
% 196.41/33.37  | | 
% 196.41/33.37  | | REF_CLOSE: (1), (3), (6), (8), (11), (12) are inconsistent by sub-proof
% 196.41/33.37  | |            #1533.
% 196.41/33.37  | | 
% 196.41/33.37  | Case 2:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 196.41/33.37  | |           e0)
% 196.41/33.37  | | 
% 196.41/33.37  | | BETA: splitting (13) gives:
% 196.41/33.37  | | 
% 196.41/33.37  | | Case 1:
% 196.41/33.37  | | | 
% 196.41/33.37  | | |   (14)  all_56_4 = e0 & op(e3, e1) = e0
% 196.41/33.37  | | | 
% 196.41/33.37  | | | REF_CLOSE: (4), (11), (14) are inconsistent by sub-proof #978.
% 196.41/33.37  | | | 
% 196.41/33.37  | | Case 2:
% 196.41/33.37  | | | 
% 196.41/33.37  | | |   (15)  all_56_9 = e0 & op(e3, e0) = e0
% 196.41/33.37  | | | 
% 196.41/33.37  | | | ALPHA: (15) implies:
% 196.41/33.37  | | |   (16)  all_56_9 = e0
% 196.41/33.37  | | | 
% 196.41/33.37  | | | BETA: splitting (5) gives:
% 196.41/33.37  | | | 
% 196.41/33.37  | | | Case 1:
% 196.41/33.37  | | | | 
% 196.41/33.37  | | | |   (17)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2)
% 196.41/33.37  | | | |           = e2)
% 196.41/33.37  | | | | 
% 196.41/33.37  | | | | REF_CLOSE: (1), (2), (3), (6), (9), (17) are inconsistent by sub-proof
% 196.41/33.37  | | | |            #1502.
% 196.41/33.37  | | | | 
% 196.41/33.37  | | | Case 2:
% 196.41/33.37  | | | | 
% 196.41/33.37  | | | |   (18)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0)
% 196.41/33.37  | | | |           = e2)
% 196.41/33.37  | | | | 
% 196.41/33.37  | | | | REF_CLOSE: (2), (4), (10), (16), (18) are inconsistent by sub-proof
% 196.41/33.37  | | | |            #1918.
% 196.41/33.37  | | | | 
% 196.41/33.37  | | | End of split
% 196.41/33.37  | | | 
% 196.41/33.37  | | End of split
% 196.41/33.37  | | 
% 196.41/33.37  | End of split
% 196.41/33.37  | 
% 196.41/33.37  End of proof
% 196.41/33.37  
% 196.41/33.37  Sub-proof #978 shows that the following formulas are inconsistent:
% 196.41/33.37  ----------------------------------------------------------------
% 196.41/33.37    (1)  all_56_4 = e0 & op(e3, e1) = e0
% 196.41/33.37    (2)  all_56_4 = e3
% 196.41/33.37    (3)   ~ (e3 = e0)
% 196.41/33.37  
% 196.41/33.37  Begin of proof
% 196.41/33.37  | 
% 196.41/33.37  | ALPHA: (1) implies:
% 196.41/33.37  |   (4)  all_56_4 = e0
% 196.41/33.37  | 
% 196.41/33.37  | COMBINE_EQS: (2), (4) imply:
% 196.41/33.37  |   (5)  e3 = e0
% 196.41/33.37  | 
% 196.41/33.37  | REDUCE: (3), (5) imply:
% 196.41/33.37  |   (6)  $false
% 196.41/33.37  | 
% 196.41/33.37  | CLOSE: (6) is inconsistent.
% 196.41/33.37  | 
% 196.41/33.37  End of proof
% 196.41/33.37  
% 196.41/33.37  Sub-proof #979 shows that the following formulas are inconsistent:
% 196.41/33.37  ----------------------------------------------------------------
% 196.41/33.37    (1)  op(e1, e1) = e1
% 196.41/33.37    (2)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.41/33.37             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.41/33.37           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 196.41/33.37           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.41/33.37           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 196.41/33.37           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 196.41/33.37    (3)  op(e0, e0) = e1
% 196.41/33.37    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.37    (5)   ~ (e2 = e1)
% 196.41/33.37  
% 196.41/33.37  Begin of proof
% 196.41/33.37  | 
% 196.41/33.37  | BETA: splitting (2) gives:
% 196.41/33.37  | 
% 196.41/33.37  | Case 1:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (6)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.41/33.37  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.41/33.37  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 196.41/33.37  | | 
% 196.41/33.37  | | ALPHA: (6) implies:
% 196.41/33.37  | |   (7)  op(e1, e1) = e2
% 196.41/33.37  | | 
% 196.41/33.37  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1955.
% 196.41/33.37  | | 
% 196.41/33.37  | Case 2:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (8)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.41/33.37  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.41/33.37  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 196.41/33.37  | | 
% 196.41/33.37  | | ALPHA: (8) implies:
% 196.41/33.37  | |   (9)  op(e0, e0) = e2
% 196.41/33.37  | | 
% 196.41/33.37  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #1780.
% 196.41/33.37  | | 
% 196.41/33.37  | End of split
% 196.41/33.37  | 
% 196.41/33.37  End of proof
% 196.41/33.37  
% 196.41/33.37  Sub-proof #980 shows that the following formulas are inconsistent:
% 196.41/33.37  ----------------------------------------------------------------
% 196.41/33.37    (1)  op(e0, e0) = e1
% 196.41/33.37    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.37    (3)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 196.41/33.37             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.41/33.37           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 196.41/33.37           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 196.41/33.37             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 196.41/33.37             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.41/33.37    (4)  op(e2, e2) = all_4_2
% 196.41/33.37    (5)   ~ (all_4_2 = e3)
% 196.41/33.37    (6)   ~ (e3 = e1)
% 196.41/33.37  
% 196.41/33.37  Begin of proof
% 196.41/33.37  | 
% 196.41/33.37  | BETA: splitting (3) gives:
% 196.41/33.37  | 
% 196.41/33.37  | Case 1:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (7)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 196.41/33.37  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.41/33.37  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 196.41/33.37  | | 
% 196.41/33.37  | | ALPHA: (7) implies:
% 196.41/33.37  | |   (8)  op(e2, e2) = e3
% 196.41/33.37  | | 
% 196.41/33.37  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1975.
% 196.41/33.37  | | 
% 196.41/33.37  | Case 2:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (9)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 196.41/33.37  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.41/33.37  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 196.41/33.37  | | 
% 196.41/33.37  | | ALPHA: (9) implies:
% 196.41/33.37  | |   (10)  op(e0, e0) = e3
% 196.41/33.37  | | 
% 196.41/33.37  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1392.
% 196.41/33.37  | | 
% 196.41/33.37  | End of split
% 196.41/33.37  | 
% 196.41/33.37  End of proof
% 196.41/33.37  
% 196.41/33.37  Sub-proof #981 shows that the following formulas are inconsistent:
% 196.41/33.37  ----------------------------------------------------------------
% 196.41/33.37    (1)  op(e1, e1) = e1
% 196.41/33.37    (2)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.41/33.37             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.41/33.37           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.41/33.37           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.41/33.37           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.41/33.37           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.41/33.37    (3)  op(e0, e0) = e1
% 196.41/33.37    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.37    (5)   ~ (e3 = e1)
% 196.41/33.37  
% 196.41/33.37  Begin of proof
% 196.41/33.37  | 
% 196.41/33.37  | BETA: splitting (2) gives:
% 196.41/33.37  | 
% 196.41/33.37  | Case 1:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (6)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.41/33.37  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.41/33.37  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 196.41/33.37  | | 
% 196.41/33.37  | | ALPHA: (6) implies:
% 196.41/33.37  | |   (7)  op(e1, e1) = e3
% 196.41/33.37  | | 
% 196.41/33.37  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1978.
% 196.41/33.37  | | 
% 196.41/33.37  | Case 2:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (8)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 196.41/33.37  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.41/33.37  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 196.41/33.37  | | 
% 196.41/33.37  | | ALPHA: (8) implies:
% 196.41/33.37  | |   (9)  op(e0, e0) = e3
% 196.41/33.37  | | 
% 196.41/33.37  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #1392.
% 196.41/33.37  | | 
% 196.41/33.37  | End of split
% 196.41/33.37  | 
% 196.41/33.37  End of proof
% 196.41/33.37  
% 196.41/33.37  Sub-proof #982 shows that the following formulas are inconsistent:
% 196.41/33.37  ----------------------------------------------------------------
% 196.41/33.37    (1)  all_54_10 = all_10_2
% 196.41/33.37    (2)  all_54_10 = e2
% 196.41/33.37    (3)   ~ (all_10_2 = e2)
% 196.41/33.37  
% 196.41/33.37  Begin of proof
% 196.41/33.37  | 
% 196.41/33.37  | COMBINE_EQS: (1), (2) imply:
% 196.41/33.37  |   (4)  all_10_2 = e2
% 196.41/33.37  | 
% 196.41/33.37  | SIMP: (4) implies:
% 196.41/33.37  |   (5)  all_10_2 = e2
% 196.41/33.37  | 
% 196.41/33.37  | REDUCE: (3), (5) imply:
% 196.41/33.37  |   (6)  $false
% 196.41/33.37  | 
% 196.41/33.37  | CLOSE: (6) is inconsistent.
% 196.41/33.37  | 
% 196.41/33.37  End of proof
% 196.41/33.37  
% 196.41/33.37  Sub-proof #983 shows that the following formulas are inconsistent:
% 196.41/33.37  ----------------------------------------------------------------
% 196.41/33.37    (1)  all_54_10 = all_10_2
% 196.41/33.37    (2)  all_54_10 = e3
% 196.41/33.37    (3)   ~ (all_10_2 = e3)
% 196.41/33.37  
% 196.41/33.37  Begin of proof
% 196.41/33.37  | 
% 196.41/33.37  | COMBINE_EQS: (1), (2) imply:
% 196.41/33.37  |   (4)  all_10_2 = e3
% 196.41/33.37  | 
% 196.41/33.37  | SIMP: (4) implies:
% 196.41/33.37  |   (5)  all_10_2 = e3
% 196.41/33.37  | 
% 196.41/33.37  | REDUCE: (3), (5) imply:
% 196.41/33.37  |   (6)  $false
% 196.41/33.37  | 
% 196.41/33.37  | CLOSE: (6) is inconsistent.
% 196.41/33.37  | 
% 196.41/33.37  End of proof
% 196.41/33.37  
% 196.41/33.37  Sub-proof #984 shows that the following formulas are inconsistent:
% 196.41/33.37  ----------------------------------------------------------------
% 196.41/33.37    (1)   ~ (all_52_3 = e1)
% 196.41/33.37    (2)   ~ (all_52_3 = e2)
% 196.41/33.37    (3)   ~ (all_52_3 = e3)
% 196.41/33.37    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.37    (5)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.41/33.37    (6)  all_54_12 = all_52_3
% 196.41/33.37    (7)  op(e0, e3) = all_52_3
% 196.41/33.37    (8)   ~ (all_57_2 = e0)
% 196.41/33.37    (9)  op(e0, e3) = all_57_2
% 196.41/33.37  
% 196.41/33.37  Begin of proof
% 196.41/33.37  | 
% 196.41/33.37  | BETA: splitting (5) gives:
% 196.41/33.37  | 
% 196.41/33.37  | Case 1:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (10)  all_54_12 = e3
% 196.41/33.37  | | 
% 196.41/33.37  | | REF_CLOSE: (3), (6), (10) are inconsistent by sub-proof #1466.
% 196.41/33.37  | | 
% 196.41/33.37  | Case 2:
% 196.41/33.37  | | 
% 196.41/33.37  | |   (11)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.41/33.37  | | 
% 196.41/33.37  | | BETA: splitting (11) gives:
% 196.41/33.37  | | 
% 196.41/33.37  | | Case 1:
% 196.41/33.37  | | | 
% 196.41/33.37  | | |   (12)  all_54_12 = e2
% 196.41/33.37  | | | 
% 196.41/33.37  | | | REF_CLOSE: (2), (6), (12) are inconsistent by sub-proof #1465.
% 196.41/33.37  | | | 
% 196.41/33.37  | | Case 2:
% 196.41/33.37  | | | 
% 196.41/33.37  | | |   (13)  all_54_12 = e1 | all_54_12 = e0
% 196.41/33.37  | | | 
% 196.41/33.37  | | | REF_CLOSE: (1), (4), (6), (7), (8), (9), (13) are inconsistent by
% 196.41/33.37  | | |            sub-proof #1069.
% 196.41/33.37  | | | 
% 196.41/33.37  | | End of split
% 196.41/33.37  | | 
% 196.41/33.37  | End of split
% 196.41/33.37  | 
% 196.41/33.37  End of proof
% 196.41/33.37  
% 196.41/33.37  Sub-proof #985 shows that the following formulas are inconsistent:
% 196.41/33.37  ----------------------------------------------------------------
% 196.41/33.37    (1)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.41/33.37           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.41/33.37           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.41/33.37                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.41/33.37               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.41/33.37               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.41/33.37           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.41/33.37           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.41/33.37               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.41/33.37           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.41/33.37               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.41/33.37           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.41/33.37           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.41/33.37               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.41/33.37               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.41/33.37               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.41/33.37         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.41/33.37           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.41/33.37           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.41/33.37               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.41/33.37             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.41/33.37         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.41/33.37           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.41/33.37           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.41/33.37                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.41/33.37               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.41/33.37               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.41/33.37           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.41/33.37           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.41/33.37             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.41/33.37           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.41/33.37               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.41/33.37           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.41/33.37           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.41/33.37               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.41/33.37               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.41/33.37               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.41/33.37         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.41/33.37           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.41/33.37           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.41/33.37               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.41/33.37             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.41/33.37         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.41/33.37           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.41/33.37           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.41/33.37                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.41/33.37               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.41/33.37               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.41/33.37           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.41/33.37             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.41/33.37               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.41/33.37           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.41/33.37               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.41/33.37           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.41/33.37           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.41/33.37               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.41/33.37               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.41/33.37               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.41/33.37         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.41/33.37           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.41/33.37           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.41/33.37               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.41/33.37             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.41/33.37         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.41/33.37             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.41/33.37           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.41/33.37               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.41/33.37             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.41/33.37         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.41/33.37             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.41/33.37           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.41/33.37               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.41/33.37             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.41/33.37         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.41/33.37             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.41/33.37           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.41/33.37               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.41/33.37             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.41/33.37         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.41/33.37             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.41/33.37           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.41/33.37               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.41/33.37             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.41/33.37    (2)   ~ (all_52_13 = e3)
% 196.41/33.37    (3)  op(e1, e2) = all_52_6
% 196.41/33.37    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.41/33.37         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.41/33.37    (5)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 196.41/33.37           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 196.41/33.37             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 196.41/33.37    (6)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.41/33.37    (7)  all_54_3 = all_52_12
% 196.41/33.37    (8)   ~ (all_52_3 = e3)
% 196.41/33.37    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.41/33.37         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.41/33.37    (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.41/33.37          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.41/33.37    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.41/33.37          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.41/33.37    (12)   ~ (all_52_6 = all_52_7)
% 196.41/33.37    (13)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.41/33.37          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.41/33.37    (14)   ~ (all_52_2 = e0)
% 196.41/33.37    (15)  all_54_2 = all_52_8
% 196.41/33.37    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.41/33.37          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.41/33.37    (17)   ~ (e3 = e2)
% 196.41/33.37    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.41/33.37            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.41/33.37    (19)   ~ (all_52_9 = e1)
% 196.41/33.37    (20)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 196.41/33.37            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 196.41/33.37              e1) = all_24_1 & $i(all_24_1))
% 196.41/33.37    (21)  op(e3, e2) = all_52_4
% 196.41/33.37    (22)  op(e2, e2) = e1
% 196.41/33.37    (23)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.41/33.37    (24)   ~ (all_52_7 = all_52_11)
% 196.41/33.37    (25)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 196.41/33.37          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.41/33.37    (26)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.41/33.37          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.41/33.37    (27)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.41/33.37          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.41/33.37    (28)  all_48_2 = e3
% 196.41/33.37    (29)   ~ (all_52_3 = all_52_7)
% 196.41/33.37    (30)  all_54_12 = all_52_3
% 196.41/33.37    (31)   ~ (all_52_4 = all_52_8)
% 196.41/33.37    (32)  all_54_13 = all_52_7
% 196.41/33.37    (33)   ~ (all_52_4 = all_52_7)
% 196.41/33.37    (34)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.41/33.37          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.41/33.37            e1)
% 196.41/33.37    (35)   ~ (all_52_8 = e3)
% 196.41/33.37    (36)   ~ (all_52_14 = e3)
% 196.41/33.37    (37)  op(e0, e3) = all_52_3
% 196.41/33.37    (38)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.41/33.37          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.41/33.37            e2)
% 196.41/33.37    (39)  op(e2, e0) = all_52_13
% 196.41/33.37    (40)  op(e1, e0) = all_52_14
% 196.41/33.37    (41)  all_56_15 = e3
% 196.41/33.37    (42)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 196.41/33.37            all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0,
% 196.41/33.37              e3) = all_18_1 & $i(all_18_1))
% 196.41/33.37    (43)  all_54_8 = all_52_2
% 196.41/33.37    (44)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.41/33.37          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.41/33.37    (45)   ~ (all_52_8 = all_52_9)
% 196.41/33.37    (46)   ~ (all_52_4 = all_52_12)
% 196.41/33.37    (47)   ~ (all_52_13 = e1)
% 196.41/33.37    (48)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.41/33.37              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.41/33.37            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.41/33.37            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.41/33.37            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.41/33.37            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.41/33.37            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.41/33.37            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.41/33.37            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.41/33.37            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.41/33.37            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.41/33.37            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.41/33.37            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.41/33.37            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.41/33.37            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.41/33.37            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.41/33.37            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.41/33.37            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.41/33.37            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.41/33.37            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.41/33.37            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.41/33.37            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.41/33.37            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.41/33.37            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.41/33.37            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.41/33.37            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.41/33.37            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.41/33.37            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.41/33.37            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.41/33.37            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.41/33.37            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.41/33.37            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.41/33.37            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.41/33.37            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.41/33.37            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.41/33.37            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.41/33.37            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.41/33.37            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.41/33.37            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.41/33.37            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.41/33.37            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.41/33.37            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.41/33.37            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.41/33.37            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.41/33.37            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.41/33.37            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.41/33.37            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.41/33.37            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.41/33.37              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.41/33.37            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.41/33.37            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.41/33.37              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.41/33.37            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.41/33.37            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.41/33.37                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.41/33.37                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.41/33.37                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.41/33.37                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.41/33.37                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.41/33.37                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.41/33.37                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.41/33.37              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.41/33.37                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.41/33.37                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.41/33.37                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.41/33.37                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.41/33.37                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.41/33.37                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.41/33.37                $i(all_57_7))))
% 196.41/33.37    (49)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.41/33.37          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.41/33.37    (50)   ~ (all_52_12 = all_52_14)
% 196.41/33.37    (51)   ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 196.41/33.37            op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 =
% 196.41/33.37              e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 196.41/33.37    (52)   ~ (all_52_7 = e1)
% 196.41/33.37    (53)  op(e0, e1) = all_52_11
% 196.41/33.37    (54)  op(e3, e3) = e3
% 196.41/33.37    (55)   ~ (all_52_12 = e3)
% 196.41/33.37    (56)  op(e1, e1) = e0
% 196.41/33.37    (57)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.41/33.37          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.41/33.37    (58)   ~ (all_52_8 = all_52_12)
% 196.41/33.37    (59)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.41/33.37    (60)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.41/33.37          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.37    (61)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.41/33.37    (62)   ~ (e1 = e0)
% 196.41/33.37    (63)   ~ (all_52_8 = all_52_11)
% 196.41/33.37    (64)   ~ (all_52_4 = e1)
% 196.41/33.37    (65)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.41/33.37          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.41/33.38    (66)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 196.41/33.38    (67)   ~ (all_52_2 = all_52_6)
% 196.41/33.38    (68)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.41/33.38    (69)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.41/33.38              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.41/33.38                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.41/33.38                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.41/33.38    (70)   ~ (e2 = e1)
% 196.41/33.38    (71)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.41/33.38          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.41/33.38    (72)  all_54_14 = all_52_11
% 196.41/33.38    (73)   ~ (all_52_11 = e0)
% 196.41/33.38    (74)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.41/33.38    (75)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.41/33.38          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.41/33.38    (76)  op(e3, e0) = all_52_12
% 196.41/33.38    (77)   ~ (all_52_2 = all_52_3)
% 196.41/33.38    (78)  all_44_2 = e1
% 196.41/33.38    (79)  op(e2, e1) = all_52_9
% 196.41/33.38    (80)   ~ (all_52_4 = all_52_6)
% 196.41/33.38    (81)  op(e3, e1) = all_52_8
% 196.41/33.38    (82)  op(e0, e0) = e3
% 196.41/33.38    (83)   ~ (all_52_9 = all_52_13)
% 196.41/33.38    (84)   ~ (e3 = e1)
% 196.41/33.38    (85)  all_54_1 = all_52_4
% 196.41/33.38    (86)   ~ (all_52_6 = e1)
% 196.41/33.38    (87)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.41/33.38          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.41/33.38    (88)  op(e0, e2) = all_52_7
% 196.41/33.38    (89)   ~ (e2 = e0)
% 196.41/33.38    (90)   ~ (all_52_8 = e0)
% 196.41/33.38    (91)   ~ (e3 = e0)
% 196.41/33.38    (92)   ~ (all_52_3 = all_52_11)
% 196.41/33.38    (93)   ~ (all_52_9 = all_52_11)
% 196.41/33.38  
% 196.41/33.38  Begin of proof
% 196.41/33.38  | 
% 196.41/33.38  | BETA: splitting (57) gives:
% 196.41/33.38  | 
% 196.41/33.38  | Case 1:
% 196.41/33.38  | | 
% 196.41/33.38  | |   (94)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 196.41/33.38  | |           e3)
% 196.41/33.38  | | 
% 196.41/33.38  | | BETA: splitting (94) gives:
% 196.41/33.38  | | 
% 196.41/33.38  | | Case 1:
% 196.41/33.38  | | | 
% 196.41/33.38  | | |   (95)  all_56_2 = e3 & op(e2, e3) = e3
% 196.41/33.38  | | | 
% 196.41/33.38  | | | ALPHA: (95) implies:
% 196.41/33.38  | | |   (96)  all_56_2 = e3
% 196.41/33.38  | | | 
% 196.41/33.38  | | | BETA: splitting (10) gives:
% 196.41/33.38  | | | 
% 196.41/33.38  | | | Case 1:
% 196.41/33.38  | | | | 
% 196.41/33.38  | | | |   (97)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2)
% 196.41/33.38  | | | |           = e0)
% 196.41/33.38  | | | | 
% 196.41/33.38  | | | | REF_CLOSE: (18), (22), (62), (91), (96), (97) are inconsistent by
% 196.41/33.38  | | | |            sub-proof #1168.
% 196.41/33.38  | | | | 
% 196.41/33.38  | | | Case 2:
% 196.41/33.38  | | | | 
% 196.41/33.38  | | | |   (98)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0)
% 196.41/33.38  | | | |           = e0)
% 196.41/33.38  | | | | 
% 196.41/33.38  | | | | BETA: splitting (98) gives:
% 196.41/33.38  | | | | 
% 196.41/33.38  | | | | Case 1:
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | |   (99)  all_56_5 = e0 & op(e2, e1) = e0
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | | ALPHA: (99) implies:
% 196.41/33.38  | | | | |   (100)  all_56_5 = e0
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | | REF_CLOSE: (17), (18), (26), (27), (56), (62), (65), (70), (84), (89),
% 196.41/33.38  | | | | |            (91), (100) are inconsistent by sub-proof #1551.
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | Case 2:
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | |   (101)  all_56_10 = e0 & op(e2, e0) = e0
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | | ALPHA: (101) implies:
% 196.41/33.38  | | | | |   (102)  all_56_10 = e0
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | | BETA: splitting (71) gives:
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | | Case 1:
% 196.41/33.38  | | | | | | 
% 196.41/33.38  | | | | | |   (103)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2,
% 196.41/33.38  | | | | | |              e2) = e2)
% 196.41/33.38  | | | | | | 
% 196.41/33.38  | | | | | | REF_CLOSE: (17), (18), (22), (70), (96), (103) are inconsistent by
% 196.41/33.38  | | | | | |            sub-proof #1345.
% 196.41/33.38  | | | | | | 
% 196.41/33.38  | | | | | Case 2:
% 196.41/33.38  | | | | | | 
% 196.41/33.38  | | | | | |   (104)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 &
% 196.41/33.38  | | | | | |            op(e2, e0) = e2)
% 196.41/33.38  | | | | | | 
% 196.41/33.38  | | | | | | BETA: splitting (104) gives:
% 196.41/33.38  | | | | | | 
% 196.41/33.38  | | | | | | Case 1:
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | |   (105)  all_56_5 = e2 & op(e2, e1) = e2
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | | ALPHA: (105) implies:
% 196.41/33.38  | | | | | | |   (106)  all_56_5 = e2
% 196.41/33.38  | | | | | | |   (107)  op(e2, e1) = e2
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | | BETA: splitting (65) gives:
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | |   (108)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 196.41/33.38  | | | | | | | |            op(e2, e1) = e3)
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | | BETA: splitting (108) gives:
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | |   (109)  all_56_4 = e3 & op(e3, e1) = e3
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | ALPHA: (109) implies:
% 196.41/33.38  | | | | | | | | |   (110)  op(e3, e1) = e3
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | REF_CLOSE: (18), (35), (81), (110) are inconsistent by
% 196.41/33.38  | | | | | | | | |            sub-proof #1759.
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | |   (111)  all_56_5 = e3 & op(e2, e1) = e3
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | ALPHA: (111) implies:
% 196.41/33.38  | | | | | | | | |   (112)  all_56_5 = e3
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | REF_CLOSE: (17), (18), (22), (70), (71), (89), (96), (102),
% 196.41/33.38  | | | | | | | | |            (112) are inconsistent by sub-proof #1008.
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | |   (113)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 &
% 196.41/33.38  | | | | | | | |            op(e0, e1) = e3)
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | | BETA: splitting (113) gives:
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | |   (114)  all_56_8 = e3 & op(e1, e1) = e3
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | ALPHA: (114) implies:
% 196.41/33.38  | | | | | | | | |   (115)  op(e1, e1) = e3
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | REF_CLOSE: (18), (56), (91), (115) are inconsistent by
% 196.41/33.38  | | | | | | | | |            sub-proof #1824.
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | |   (116)  all_56_14 = e3 & op(e0, e1) = e3
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | ALPHA: (116) implies:
% 196.41/33.38  | | | | | | | | |   (117)  all_56_14 = e3
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | BETA: splitting (27) gives:
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | |   (118)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 196.41/33.38  | | | | | | | | | |            & op(e2, e1) = e1)
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | BETA: splitting (118) gives:
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | |   (119)  all_56_4 = e1 & op(e3, e1) = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | ALPHA: (119) implies:
% 196.41/33.38  | | | | | | | | | | |   (120)  all_56_4 = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | BETA: splitting (69) gives:
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | |   (121)  all_56_15 = e0 & op(e0, e0) = e0
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | REF_CLOSE: (41), (91), (121) are inconsistent by sub-proof
% 196.41/33.38  | | | | | | | | | | | |            #1115.
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | |   (122)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.41/33.38  | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.41/33.38  | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.41/33.38  | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.41/33.38  | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | ALPHA: (122) implies:
% 196.41/33.38  | | | | | | | | | | | |   (123)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.41/33.38  | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.41/33.38  | | | | | | | | | | | |              e1) = e0)
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | BETA: splitting (38) gives:
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | |   (124)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 196.41/33.38  | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | BETA: splitting (124) gives:
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | |   (125)  all_56_12 = e2 & op(e0, e3) = e2
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | ALPHA: (125) implies:
% 196.41/33.38  | | | | | | | | | | | | | |   (126)  all_56_12 = e2
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | REF_CLOSE: (18), (34), (52), (70), (82), (84), (88), (117),
% 196.41/33.38  | | | | | | | | | | | | | |            (126) are inconsistent by sub-proof #1039.
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | |   (127)  all_56_13 = e2 & op(e0, e2) = e2
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | ALPHA: (127) implies:
% 196.41/33.38  | | | | | | | | | | | | | |   (128)  all_56_13 = e2
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | |   (129)  all_56_12 = e0 & op(e0, e3) = e0
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 196.41/33.38  | | | | | | | | | | | | | | |   (130)  all_56_12 = e0
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (26), (27), (34), (52), (56), (62),
% 196.41/33.38  | | | | | | | | | | | | | | |            (65), (70), (82), (84), (88), (89), (91), (117),
% 196.41/33.38  | | | | | | | | | | | | | | |            (120), (130) are inconsistent by sub-proof #1006.
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | |   (131)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 196.41/33.38  | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (26), (27), (53), (56), (62), (65),
% 196.41/33.38  | | | | | | | | | | | | | | |            (70), (73), (84), (89), (91), (106), (128), (131)
% 196.41/33.38  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1005.
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | |   (132)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 196.41/33.38  | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | BETA: splitting (132) gives:
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | |   (133)  all_56_14 = e2 & op(e0, e1) = e2
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | ALPHA: (133) implies:
% 196.41/33.38  | | | | | | | | | | | | | |   (134)  all_56_14 = e2
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | REF_CLOSE: (17), (117), (134) are inconsistent by sub-proof
% 196.41/33.38  | | | | | | | | | | | | | |            #1495.
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | |   (135)  all_56_15 = e2 & op(e0, e0) = e2
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | REF_CLOSE: (17), (41), (135) are inconsistent by sub-proof
% 196.41/33.38  | | | | | | | | | | | | | |            #1004.
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | |   (136)  all_56_5 = e1 & op(e2, e1) = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | ALPHA: (136) implies:
% 196.41/33.38  | | | | | | | | | | |   (137)  op(e2, e1) = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | REF_CLOSE: (18), (70), (107), (137) are inconsistent by
% 196.41/33.38  | | | | | | | | | | |            sub-proof #1441.
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | |   (138)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1
% 196.41/33.38  | | | | | | | | | |            & op(e0, e1) = e1)
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | REF_CLOSE: (18), (56), (62), (84), (117), (138) are
% 196.41/33.38  | | | | | | | | | |            inconsistent by sub-proof #1747.
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | End of split
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | Case 2:
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | |   (139)  all_56_10 = e2 & op(e2, e0) = e2
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | | ALPHA: (139) implies:
% 196.41/33.38  | | | | | | |   (140)  all_56_10 = e2
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | | REF_CLOSE: (89), (102), (140) are inconsistent by sub-proof #1342.
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | End of split
% 196.41/33.38  | | | | | | 
% 196.41/33.38  | | | | | End of split
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | End of split
% 196.41/33.38  | | | | 
% 196.41/33.38  | | | End of split
% 196.41/33.38  | | | 
% 196.41/33.38  | | Case 2:
% 196.41/33.38  | | | 
% 196.41/33.38  | | |   (141)  all_56_3 = e3 & op(e2, e2) = e3
% 196.41/33.38  | | | 
% 196.41/33.38  | | | ALPHA: (141) implies:
% 196.41/33.38  | | |   (142)  op(e2, e2) = e3
% 196.41/33.38  | | | 
% 196.41/33.38  | | | REF_CLOSE: (18), (22), (84), (142) are inconsistent by sub-proof #1679.
% 196.41/33.38  | | | 
% 196.41/33.38  | | End of split
% 196.41/33.38  | | 
% 196.41/33.38  | Case 2:
% 196.41/33.38  | | 
% 196.41/33.38  | |   (143)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 196.41/33.38  | |            e3)
% 196.41/33.38  | | 
% 196.41/33.38  | | BETA: splitting (143) gives:
% 196.41/33.38  | | 
% 196.41/33.38  | | Case 1:
% 196.41/33.38  | | | 
% 196.41/33.38  | | |   (144)  all_56_5 = e3 & op(e2, e1) = e3
% 196.41/33.38  | | | 
% 196.41/33.38  | | | ALPHA: (144) implies:
% 196.41/33.38  | | |   (145)  all_56_5 = e3
% 196.41/33.38  | | |   (146)  op(e2, e1) = e3
% 196.41/33.38  | | | 
% 196.41/33.38  | | | BETA: splitting (44) gives:
% 196.41/33.38  | | | 
% 196.41/33.38  | | | Case 1:
% 196.41/33.38  | | | | 
% 196.41/33.38  | | | |   (147)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 196.41/33.38  | | | |            = e3)
% 196.41/33.38  | | | | 
% 196.41/33.38  | | | | BETA: splitting (147) gives:
% 196.41/33.38  | | | | 
% 196.41/33.38  | | | | Case 1:
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | |   (148)  all_56_1 = e3 & op(e3, e2) = e3
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | | ALPHA: (148) implies:
% 196.41/33.38  | | | | |   (149)  all_56_1 = e3
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | | BETA: splitting (87) gives:
% 196.41/33.38  | | | | | 
% 196.41/33.38  | | | | | Case 1:
% 196.41/33.38  | | | | | | 
% 196.41/33.38  | | | | | |   (150)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1,
% 196.41/33.38  | | | | | |              e2) = e3)
% 196.41/33.38  | | | | | | 
% 196.41/33.38  | | | | | | BETA: splitting (150) gives:
% 196.41/33.38  | | | | | | 
% 196.41/33.38  | | | | | | Case 1:
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | |   (151)  all_56_6 = e3 & op(e1, e3) = e3
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | | ALPHA: (151) implies:
% 196.41/33.38  | | | | | | |   (152)  all_56_6 = e3
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | | BETA: splitting (49) gives:
% 196.41/33.38  | | | | | | | 
% 196.41/33.38  | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | |   (153)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 &
% 196.41/33.38  | | | | | | | |            op(e1, e2) = e1)
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | | REF_CLOSE: (3), (18), (84), (86), (152), (153) are inconsistent
% 196.41/33.38  | | | | | | | |            by sub-proof #1349.
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | |   (154)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 &
% 196.41/33.38  | | | | | | | |            op(e1, e0) = e1)
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | | BETA: splitting (154) gives:
% 196.41/33.38  | | | | | | | | 
% 196.41/33.38  | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | |   (155)  all_56_8 = e1 & op(e1, e1) = e1
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | ALPHA: (155) implies:
% 196.41/33.38  | | | | | | | | |   (156)  op(e1, e1) = e1
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | REF_CLOSE: (18), (56), (62), (156) are inconsistent by
% 196.41/33.38  | | | | | | | | |            sub-proof #1959.
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | |   (157)  all_56_11 = e1 & op(e1, e0) = e1
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | ALPHA: (157) implies:
% 196.41/33.38  | | | | | | | | |   (158)  all_56_11 = e1
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | BETA: splitting (16) gives:
% 196.41/33.38  | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | |   (159)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 196.41/33.38  | | | | | | | | | |            & op(e2, e3) = e1)
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | BETA: splitting (159) gives:
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | |   (160)  all_56_0 = e1 & op(e3, e3) = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | ALPHA: (160) implies:
% 196.41/33.38  | | | | | | | | | | |   (161)  op(e3, e3) = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | REF_CLOSE: (18), (54), (84), (161) are inconsistent by
% 196.41/33.38  | | | | | | | | | | |            sub-proof #1966.
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | |   (162)  all_56_2 = e1 & op(e2, e3) = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | ALPHA: (162) implies:
% 196.41/33.38  | | | | | | | | | | |   (163)  all_56_2 = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | REF_CLOSE: (10), (17), (18), (22), (26), (27), (56), (62),
% 196.41/33.38  | | | | | | | | | | |            (65), (70), (71), (84), (89), (91), (145), (163)
% 196.41/33.38  | | | | | | | | | | |            are inconsistent by sub-proof #1017.
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | |   (164)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1
% 196.41/33.38  | | | | | | | | | |            & op(e0, e3) = e1)
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | BETA: splitting (164) gives:
% 196.41/33.38  | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | |   (165)  all_56_6 = e1 & op(e1, e3) = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | REF_CLOSE: (84), (152), (165) are inconsistent by sub-proof
% 196.41/33.38  | | | | | | | | | | |            #1569.
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | |   (166)  all_56_12 = e1 & op(e0, e3) = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | ALPHA: (166) implies:
% 196.41/33.38  | | | | | | | | | | |   (167)  all_56_12 = e1
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | BETA: splitting (4) gives:
% 196.41/33.38  | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | |   (168)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 196.41/33.38  | | | | | | | | | | | |            & op(e2, e3) = e2)
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | BETA: splitting (168) gives:
% 196.41/33.38  | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | |   (169)  all_56_0 = e2 & op(e3, e3) = e2
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | ALPHA: (169) implies:
% 196.41/33.38  | | | | | | | | | | | | |   (170)  op(e3, e3) = e2
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | REF_CLOSE: (17), (18), (54), (170) are inconsistent by
% 196.41/33.38  | | | | | | | | | | | | |            sub-proof #1957.
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | |   (171)  all_56_2 = e2 & op(e2, e3) = e2
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | ALPHA: (171) implies:
% 196.41/33.38  | | | | | | | | | | | | |   (172)  all_56_2 = e2
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | BETA: splitting (10) gives:
% 196.41/33.38  | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | |   (173)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 196.41/33.38  | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | |   (174)  all_56_2 = e0 & op(e2, e3) = e0
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 196.41/33.38  | | | | | | | | | | | | | | |   (175)  all_56_2 = e0
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | | REF_CLOSE: (89), (172), (175) are inconsistent by sub-proof
% 196.41/33.38  | | | | | | | | | | | | | | |            #1715.
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | |   (176)  all_56_3 = e0 & op(e2, e2) = e0
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 196.41/33.38  | | | | | | | | | | | | | | |   (177)  op(e2, e2) = e0
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | | REF_CLOSE: (18), (22), (62), (177) are inconsistent by
% 196.41/33.38  | | | | | | | | | | | | | | |            sub-proof #1909.
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | End of split
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | |   (178)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 196.41/33.38  | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 196.41/33.38  | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | Case 1:
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | |   (179)  all_56_5 = e0 & op(e2, e1) = e0
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 196.41/33.38  | | | | | | | | | | | | | | |   (180)  all_56_5 = e0
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (26), (27), (56), (62), (65), (70),
% 196.41/33.38  | | | | | | | | | | | | | | |            (84), (89), (91), (180) are inconsistent by
% 196.41/33.38  | | | | | | | | | | | | | | |            sub-proof #1551.
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | Case 2:
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | |   (181)  all_56_10 = e0 & op(e2, e0) = e0
% 196.41/33.38  | | | | | | | | | | | | | | | 
% 196.41/33.38  | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 196.51/33.38  | | | | | | | | | | | | | | |   (182)  all_56_10 = e0
% 196.51/33.38  | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 196.51/33.38  | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | Case 1:
% 196.51/33.38  | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | |   (183)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 196.51/33.38  | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 196.51/33.38  | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 196.51/33.38  | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | |   (184)  all_56_9 = e2 & op(e3, e0) = e2
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (26), (27), (54), (56), (60), (62),
% 196.51/33.38  | | | | | | | | | | | | | | | | |            (65), (70), (84), (89), (91), (145), (149), (184)
% 196.51/33.38  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1031.
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | |   (185)  all_56_10 = e2 & op(e2, e0) = e2
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (182), (185) are inconsistent by sub-proof
% 196.51/33.38  | | | | | | | | | | | | | | | | |            #1003.
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | Case 2:
% 196.51/33.38  | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | |   (186)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 196.51/33.38  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 196.51/33.38  | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 196.51/33.38  | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | |   (187)  all_56_11 = e2 & op(e1, e0) = e2
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 196.51/33.38  | | | | | | | | | | | | | | | | |   (188)  all_56_11 = e2
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | | COMBINE_EQS: (158), (188) imply:
% 196.51/33.38  | | | | | | | | | | | | | | | | |   (189)  e2 = e1
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (189) imply:
% 196.51/33.38  | | | | | | | | | | | | | | | | |   (190)  all_56_2 = e1
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (18), (22), (26), (27), (56), (62),
% 196.51/33.38  | | | | | | | | | | | | | | | | |            (65), (70), (71), (84), (89), (91), (145), (190)
% 196.51/33.38  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1017.
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | |   (191)  all_56_15 = e2 & op(e0, e0) = e2
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (41), (191) are inconsistent by sub-proof
% 196.51/33.38  | | | | | | | | | | | | | | | | |            #1004.
% 196.51/33.38  | | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | Case 2:
% 196.51/33.38  | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | |   (192)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 196.51/33.38  | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 196.51/33.38  | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | BETA: splitting (192) gives:
% 196.51/33.38  | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | Case 1:
% 196.51/33.38  | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | |   (193)  all_56_6 = e2 & op(e1, e3) = e2
% 196.51/33.38  | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | REF_CLOSE: (17), (152), (193) are inconsistent by sub-proof
% 196.51/33.38  | | | | | | | | | | | | |            #1853.
% 196.51/33.38  | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | Case 2:
% 196.51/33.38  | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | |   (194)  all_56_12 = e2 & op(e0, e3) = e2
% 196.51/33.38  | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | ALPHA: (194) implies:
% 196.51/33.38  | | | | | | | | | | | | |   (195)  all_56_12 = e2
% 196.51/33.38  | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | | REF_CLOSE: (70), (167), (195) are inconsistent by sub-proof
% 196.51/33.38  | | | | | | | | | | | | |            #1622.
% 196.51/33.38  | | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | | | 
% 196.51/33.38  | | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | | 
% 196.51/33.38  | | | | | | | | End of split
% 196.51/33.38  | | | | | | | | 
% 196.51/33.38  | | | | | | | End of split
% 196.51/33.38  | | | | | | | 
% 196.51/33.38  | | | | | | Case 2:
% 196.51/33.38  | | | | | | | 
% 196.51/33.38  | | | | | | |   (196)  all_56_7 = e3 & op(e1, e2) = e3
% 196.51/33.38  | | | | | | | 
% 196.51/33.38  | | | | | | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (11), (12), (13),
% 196.51/33.38  | | | | | | |            (14), (15), (18), (20), (21), (22), (23), (24), (25),
% 196.51/33.38  | | | | | | |            (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 196.51/33.38  | | | | | | |            (37), (38), (39), (40), (41), (42), (43), (45), (46),
% 196.51/33.38  | | | | | | |            (47), (48), (50), (51), (52), (53), (54), (55), (56),
% 196.51/33.38  | | | | | | |            (58), (59), (60), (61), (63), (64), (65), (66), (67),
% 196.51/33.38  | | | | | | |            (68), (69), (72), (74), (75), (76), (77), (78), (79),
% 196.51/33.38  | | | | | | |            (80), (81), (82), (83), (85), (86), (88), (90), (92),
% 196.51/33.38  | | | | | | |            (93), (145), (146), (196) are inconsistent by sub-proof
% 196.51/33.38  | | | | | | |            #988.
% 196.51/33.38  | | | | | | | 
% 196.51/33.38  | | | | | | End of split
% 196.51/33.38  | | | | | | 
% 196.51/33.38  | | | | | Case 2:
% 196.51/33.38  | | | | | | 
% 196.51/33.38  | | | | | |   (197)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 &
% 196.51/33.38  | | | | | |            op(e1, e0) = e3)
% 196.51/33.38  | | | | | | 
% 196.51/33.38  | | | | | | REF_CLOSE: (18), (36), (40), (56), (91), (197) are inconsistent by
% 196.51/33.38  | | | | | |            sub-proof #1406.
% 196.51/33.38  | | | | | | 
% 196.51/33.38  | | | | | End of split
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | Case 2:
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | |   (198)  all_56_3 = e3 & op(e2, e2) = e3
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | ALPHA: (198) implies:
% 196.51/33.38  | | | | |   (199)  op(e2, e2) = e3
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | REF_CLOSE: (18), (22), (84), (199) are inconsistent by sub-proof
% 196.51/33.38  | | | | |            #1679.
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | End of split
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | Case 2:
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | |   (200)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0,
% 196.51/33.38  | | | |              e2) = e3)
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | | BETA: splitting (200) gives:
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | | Case 1:
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | |   (201)  all_56_7 = e3 & op(e1, e2) = e3
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 196.51/33.38  | | | | |            (15), (18), (20), (21), (22), (23), (24), (25), (26), (27),
% 196.51/33.38  | | | | |            (28), (29), (30), (31), (32), (33), (34), (37), (38), (39),
% 196.51/33.38  | | | | |            (40), (41), (42), (43), (45), (46), (47), (48), (50), (51),
% 196.51/33.38  | | | | |            (52), (53), (54), (55), (56), (58), (59), (60), (61), (63),
% 196.51/33.38  | | | | |            (64), (65), (66), (67), (68), (69), (72), (74), (75), (76),
% 196.51/33.38  | | | | |            (77), (78), (79), (80), (81), (82), (83), (85), (86), (88),
% 196.51/33.38  | | | | |            (90), (92), (93), (145), (146), (201) are inconsistent by
% 196.51/33.38  | | | | |            sub-proof #988.
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | Case 2:
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | |   (202)  all_56_13 = e3 & op(e0, e2) = e3
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | ALPHA: (202) implies:
% 196.51/33.38  | | | | |   (203)  all_56_13 = e3
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | REF_CLOSE: (17), (18), (19), (26), (27), (34), (38), (41), (52), (53),
% 196.51/33.38  | | | | |            (56), (62), (65), (69), (70), (73), (79), (82), (84), (88),
% 196.51/33.38  | | | | |            (89), (91), (145), (203) are inconsistent by sub-proof
% 196.51/33.38  | | | | |            #986.
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | End of split
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | End of split
% 196.51/33.38  | | | 
% 196.51/33.38  | | Case 2:
% 196.51/33.38  | | | 
% 196.51/33.38  | | |   (204)  all_56_10 = e3 & op(e2, e0) = e3
% 196.51/33.38  | | | 
% 196.51/33.38  | | | REF_CLOSE: (2), (18), (39), (204) are inconsistent by sub-proof #1456.
% 196.51/33.38  | | | 
% 196.51/33.38  | | End of split
% 196.51/33.38  | | 
% 196.51/33.38  | End of split
% 196.51/33.38  | 
% 196.51/33.38  End of proof
% 196.51/33.38  
% 196.51/33.38  Sub-proof #986 shows that the following formulas are inconsistent:
% 196.51/33.38  ----------------------------------------------------------------
% 196.51/33.38    (1)   ~ (e3 = e2)
% 196.51/33.38    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.38    (3)   ~ (all_52_9 = e1)
% 196.51/33.38    (4)  all_56_13 = e3
% 196.51/33.38    (5)  all_56_5 = e3
% 196.51/33.38    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.38         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.38    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.38         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.38    (8)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 196.51/33.38         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.51/33.38    (9)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 196.51/33.38         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.51/33.38    (10)  all_56_15 = e3
% 196.51/33.38    (11)   ~ (all_52_7 = e1)
% 196.51/33.38    (12)  op(e0, e1) = all_52_11
% 196.51/33.38    (13)  op(e1, e1) = e0
% 196.51/33.38    (14)   ~ (e1 = e0)
% 196.51/33.38    (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.38          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.38    (16)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.51/33.38              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.51/33.38                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.51/33.38                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.51/33.38    (17)   ~ (e2 = e1)
% 196.51/33.38    (18)   ~ (all_52_11 = e0)
% 196.51/33.38    (19)  op(e2, e1) = all_52_9
% 196.51/33.38    (20)  op(e0, e0) = e3
% 196.51/33.38    (21)   ~ (e3 = e1)
% 196.51/33.38    (22)  op(e0, e2) = all_52_7
% 196.51/33.38    (23)   ~ (e2 = e0)
% 196.51/33.38    (24)   ~ (e3 = e0)
% 196.51/33.38  
% 196.51/33.38  Begin of proof
% 196.51/33.38  | 
% 196.51/33.38  | BETA: splitting (16) gives:
% 196.51/33.38  | 
% 196.51/33.38  | Case 1:
% 196.51/33.38  | | 
% 196.51/33.38  | |   (25)  all_56_15 = e0 & op(e0, e0) = e0
% 196.51/33.38  | | 
% 196.51/33.38  | | REF_CLOSE: (1), (2), (5), (6), (7), (10), (13), (14), (15), (17), (21),
% 196.51/33.38  | |            (23), (24), (25) are inconsistent by sub-proof #1029.
% 196.51/33.38  | | 
% 196.51/33.38  | Case 2:
% 196.51/33.38  | | 
% 196.51/33.38  | |   (26)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.51/33.38  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 196.51/33.38  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.51/33.38  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.51/33.38  | | 
% 196.51/33.38  | | ALPHA: (26) implies:
% 196.51/33.38  | |   (27)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.51/33.38  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.51/33.38  | | 
% 196.51/33.38  | | BETA: splitting (27) gives:
% 196.51/33.38  | | 
% 196.51/33.38  | | Case 1:
% 196.51/33.38  | | | 
% 196.51/33.38  | | |   (28)  all_56_12 = e0 & op(e0, e3) = e0
% 196.51/33.38  | | | 
% 196.51/33.38  | | | ALPHA: (28) implies:
% 196.51/33.38  | | |   (29)  all_56_12 = e0
% 196.51/33.38  | | | 
% 196.51/33.38  | | | BETA: splitting (9) gives:
% 196.51/33.38  | | | 
% 196.51/33.38  | | | Case 1:
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | |   (30)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 196.51/33.38  | | | |             e2) = e2)
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | | BETA: splitting (30) gives:
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | | Case 1:
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | |   (31)  all_56_12 = e2 & op(e0, e3) = e2
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | ALPHA: (31) implies:
% 196.51/33.38  | | | | |   (32)  all_56_12 = e2
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | REF_CLOSE: (23), (29), (32) are inconsistent by sub-proof #1852.
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | Case 2:
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | |   (33)  all_56_13 = e2 & op(e0, e2) = e2
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | REF_CLOSE: (1), (4), (33) are inconsistent by sub-proof #1905.
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | End of split
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | Case 2:
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | |   (34)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 196.51/33.38  | | | |             e0) = e2)
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | | BETA: splitting (34) gives:
% 196.51/33.38  | | | | 
% 196.51/33.38  | | | | Case 1:
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | |   (35)  all_56_14 = e2 & op(e0, e1) = e2
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | ALPHA: (35) implies:
% 196.51/33.38  | | | | |   (36)  all_56_14 = e2
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | BETA: splitting (7) gives:
% 196.51/33.38  | | | | | 
% 196.51/33.38  | | | | | Case 1:
% 196.51/33.38  | | | | | | 
% 196.51/33.38  | | | | | |   (37)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2,
% 196.51/33.38  | | | | | |             e1) = e1)
% 196.51/33.38  | | | | | | 
% 196.51/33.38  | | | | | | BETA: splitting (37) gives:
% 196.51/33.38  | | | | | | 
% 196.51/33.38  | | | | | | Case 1:
% 196.51/33.38  | | | | | | | 
% 196.51/33.38  | | | | | | |   (38)  all_56_4 = e1 & op(e3, e1) = e1
% 196.51/33.38  | | | | | | | 
% 196.51/33.38  | | | | | | | ALPHA: (38) implies:
% 196.51/33.38  | | | | | | |   (39)  all_56_4 = e1
% 196.51/33.38  | | | | | | | 
% 196.51/33.38  | | | | | | | BETA: splitting (8) gives:
% 196.51/33.38  | | | | | | | 
% 196.51/33.38  | | | | | | | Case 1:
% 196.51/33.38  | | | | | | | | 
% 196.51/33.38  | | | | | | | |   (40)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 196.51/33.38  | | | | | | | |           op(e0, e2) = e1)
% 196.51/33.38  | | | | | | | | 
% 196.51/33.38  | | | | | | | | REF_CLOSE: (1), (2), (6), (7), (11), (13), (14), (15), (17),
% 196.51/33.38  | | | | | | | |            (21), (22), (23), (24), (29), (39), (40) are
% 196.51/33.38  | | | | | | | |            inconsistent by sub-proof #1007.
% 196.51/33.38  | | | | | | | | 
% 196.51/33.38  | | | | | | | Case 2:
% 196.51/33.38  | | | | | | | | 
% 196.51/33.39  | | | | | | | |   (41)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 196.51/33.39  | | | | | | | |           op(e0, e0) = e1)
% 196.51/33.39  | | | | | | | | 
% 196.51/33.39  | | | | | | | | BETA: splitting (41) gives:
% 196.51/33.39  | | | | | | | | 
% 196.51/33.39  | | | | | | | | Case 1:
% 196.51/33.39  | | | | | | | | | 
% 196.51/33.39  | | | | | | | | |   (42)  all_56_14 = e1 & op(e0, e1) = e1
% 196.51/33.39  | | | | | | | | | 
% 196.51/33.39  | | | | | | | | | ALPHA: (42) implies:
% 196.51/33.39  | | | | | | | | |   (43)  all_56_14 = e1
% 196.51/33.39  | | | | | | | | | 
% 196.51/33.39  | | | | | | | | | REF_CLOSE: (17), (36), (43) are inconsistent by sub-proof
% 196.51/33.39  | | | | | | | | |            #1815.
% 196.51/33.39  | | | | | | | | | 
% 196.51/33.39  | | | | | | | | Case 2:
% 196.51/33.39  | | | | | | | | | 
% 196.51/33.39  | | | | | | | | |   (44)  all_56_15 = e1 & op(e0, e0) = e1
% 196.51/33.39  | | | | | | | | | 
% 196.51/33.39  | | | | | | | | | ALPHA: (44) implies:
% 196.51/33.39  | | | | | | | | |   (45)  op(e0, e0) = e1
% 196.51/33.39  | | | | | | | | | 
% 196.51/33.39  | | | | | | | | | REF_CLOSE: (2), (20), (21), (45) are inconsistent by sub-proof
% 196.51/33.39  | | | | | | | | |            #1392.
% 196.51/33.39  | | | | | | | | | 
% 196.51/33.39  | | | | | | | | End of split
% 196.51/33.39  | | | | | | | | 
% 196.51/33.39  | | | | | | | End of split
% 196.51/33.39  | | | | | | | 
% 196.51/33.39  | | | | | | Case 2:
% 196.51/33.39  | | | | | | | 
% 196.51/33.39  | | | | | | |   (46)  all_56_5 = e1 & op(e2, e1) = e1
% 196.51/33.39  | | | | | | | 
% 196.51/33.39  | | | | | | | ALPHA: (46) implies:
% 196.51/33.39  | | | | | | |   (47)  op(e2, e1) = e1
% 196.51/33.39  | | | | | | | 
% 196.51/33.39  | | | | | | | REF_CLOSE: (2), (3), (19), (47) are inconsistent by sub-proof
% 196.51/33.39  | | | | | | |            #1755.
% 196.51/33.39  | | | | | | | 
% 196.51/33.39  | | | | | | End of split
% 196.51/33.39  | | | | | | 
% 196.51/33.39  | | | | | Case 2:
% 196.51/33.39  | | | | | | 
% 196.51/33.39  | | | | | |   (48)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0,
% 196.51/33.39  | | | | | |             e1) = e1)
% 196.51/33.39  | | | | | | 
% 196.51/33.39  | | | | | | REF_CLOSE: (2), (13), (14), (17), (36), (48) are inconsistent by
% 196.51/33.39  | | | | | |            sub-proof #1509.
% 196.51/33.39  | | | | | | 
% 196.51/33.39  | | | | | End of split
% 196.51/33.39  | | | | | 
% 196.51/33.39  | | | | Case 2:
% 196.51/33.39  | | | | | 
% 196.51/33.39  | | | | |   (49)  all_56_15 = e2 & op(e0, e0) = e2
% 196.51/33.39  | | | | | 
% 196.51/33.39  | | | | | REF_CLOSE: (1), (10), (49) are inconsistent by sub-proof #987.
% 196.51/33.39  | | | | | 
% 196.51/33.39  | | | | End of split
% 196.51/33.39  | | | | 
% 196.51/33.39  | | | End of split
% 196.51/33.39  | | | 
% 196.51/33.39  | | Case 2:
% 196.51/33.39  | | | 
% 196.51/33.39  | | |   (50)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 196.51/33.39  | | |           = e0)
% 196.51/33.39  | | | 
% 196.51/33.39  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (12), (13), (14), (15), (17),
% 196.51/33.39  | | |            (18), (21), (23), (24), (50) are inconsistent by sub-proof
% 196.51/33.39  | | |            #1341.
% 196.51/33.39  | | | 
% 196.51/33.39  | | End of split
% 196.51/33.39  | | 
% 196.51/33.39  | End of split
% 196.51/33.39  | 
% 196.51/33.39  End of proof
% 196.51/33.39  
% 196.51/33.39  Sub-proof #987 shows that the following formulas are inconsistent:
% 196.51/33.39  ----------------------------------------------------------------
% 196.51/33.39    (1)  all_56_15 = e2 & op(e0, e0) = e2
% 196.51/33.39    (2)  all_56_15 = e3
% 196.51/33.39    (3)   ~ (e3 = e2)
% 196.51/33.39  
% 196.51/33.39  Begin of proof
% 196.51/33.39  | 
% 196.51/33.39  | ALPHA: (1) implies:
% 196.51/33.39  |   (4)  all_56_15 = e2
% 196.51/33.39  | 
% 196.51/33.39  | COMBINE_EQS: (2), (4) imply:
% 196.51/33.39  |   (5)  e3 = e2
% 196.51/33.39  | 
% 196.51/33.39  | REDUCE: (3), (5) imply:
% 196.51/33.39  |   (6)  $false
% 196.51/33.39  | 
% 196.51/33.39  | CLOSE: (6) is inconsistent.
% 196.51/33.39  | 
% 196.51/33.39  End of proof
% 196.51/33.39  
% 196.51/33.39  Sub-proof #988 shows that the following formulas are inconsistent:
% 196.51/33.39  ----------------------------------------------------------------
% 196.51/33.39    (1)  op(e2, e1) = e3
% 196.51/33.39    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.51/33.39           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.51/33.39           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.51/33.39                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.51/33.39               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.51/33.39               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.51/33.39           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.51/33.39           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.51/33.39               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.51/33.39           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.51/33.39               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.51/33.39           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.51/33.39           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.51/33.39               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.39               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.51/33.39               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.39         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.51/33.39           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.51/33.39           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.51/33.39               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.51/33.39             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.39         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.51/33.39           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.51/33.39           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.51/33.39                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.51/33.39               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.51/33.39               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.51/33.39           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.51/33.39           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.51/33.39             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.39           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.51/33.39               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.51/33.39           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.51/33.39           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.51/33.39               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.51/33.39               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.51/33.39               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.39         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.51/33.39           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.51/33.39           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.51/33.39               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.51/33.39             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.39         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.51/33.39           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.51/33.39           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.51/33.39                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.51/33.39               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.51/33.39               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.51/33.39           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.51/33.39             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.51/33.39               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.39           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.51/33.39               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.51/33.39           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.51/33.39           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.51/33.39               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.39               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.39               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.51/33.39         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.51/33.39           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.51/33.39           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.51/33.39               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.51/33.39             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.51/33.39         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.51/33.39             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.39           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.51/33.39               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.51/33.39             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.39         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.51/33.39             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.39           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.51/33.39               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.51/33.39             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.39         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.51/33.39             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.51/33.39           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.51/33.39               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.51/33.39             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.39         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.51/33.39             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.51/33.39           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.51/33.39               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.51/33.39             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.51/33.39    (3)  op(e1, e2) = all_52_6
% 196.51/33.39    (4)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 196.51/33.39           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 196.51/33.39             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 196.51/33.39    (5)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.51/33.39    (6)  all_54_3 = all_52_12
% 196.51/33.39    (7)   ~ (all_52_3 = e3)
% 196.51/33.39    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.51/33.39         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.51/33.39    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.51/33.39         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.51/33.39    (10)   ~ (all_52_6 = all_52_7)
% 196.51/33.39    (11)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.51/33.39          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.51/33.39    (12)   ~ (all_52_2 = e0)
% 196.51/33.39    (13)  all_54_2 = all_52_8
% 196.51/33.39    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.39            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.39    (15)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 196.51/33.39            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 196.51/33.39              e1) = all_24_1 & $i(all_24_1))
% 196.51/33.39    (16)  op(e3, e2) = all_52_4
% 196.51/33.39    (17)  op(e2, e2) = e1
% 196.51/33.39    (18)  all_56_5 = e3
% 196.51/33.39    (19)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.51/33.39    (20)   ~ (all_52_7 = all_52_11)
% 196.51/33.39    (21)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 196.51/33.39          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.51/33.39    (22)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.39          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.39    (23)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.39          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.39    (24)  all_48_2 = e3
% 196.51/33.39    (25)   ~ (all_52_3 = all_52_7)
% 196.51/33.39    (26)  all_54_12 = all_52_3
% 196.51/33.39    (27)   ~ (all_52_4 = all_52_8)
% 196.51/33.39    (28)  all_54_13 = all_52_7
% 196.51/33.39    (29)   ~ (all_52_4 = all_52_7)
% 196.51/33.39    (30)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.51/33.39          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.51/33.39            e1)
% 196.51/33.39    (31)  op(e0, e3) = all_52_3
% 196.51/33.39    (32)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.51/33.39          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.51/33.39            e2)
% 196.51/33.39    (33)  op(e2, e0) = all_52_13
% 196.51/33.39    (34)  op(e1, e0) = all_52_14
% 196.51/33.39    (35)  all_56_15 = e3
% 196.51/33.39    (36)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 196.51/33.39            all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0,
% 196.51/33.39              e3) = all_18_1 & $i(all_18_1))
% 196.51/33.39    (37)  all_54_8 = all_52_2
% 196.51/33.39    (38)   ~ (all_52_8 = all_52_9)
% 196.51/33.39    (39)  all_56_7 = e3 & op(e1, e2) = e3
% 196.51/33.39    (40)   ~ (all_52_4 = all_52_12)
% 196.51/33.39    (41)   ~ (all_52_13 = e1)
% 196.51/33.39    (42)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.51/33.39              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.51/33.39            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.51/33.39            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.51/33.39            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.39            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.51/33.39            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.51/33.39            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.51/33.39            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.51/33.39            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.51/33.39            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.39            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.51/33.39            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.51/33.39            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.51/33.39            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.51/33.39            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.51/33.39            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.39            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.51/33.39            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.51/33.39            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.51/33.39            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.51/33.39            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.39            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.51/33.39            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.51/33.39            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.51/33.39            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.51/33.39            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.51/33.39            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.51/33.39            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.39            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.51/33.39            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.51/33.39            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.51/33.39            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.51/33.39            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.39            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.39            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.51/33.39            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.39            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.51/33.39            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.51/33.39            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.39            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.51/33.39            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.51/33.39            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.51/33.39            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.51/33.39            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.51/33.39            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.51/33.39            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.51/33.39            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.51/33.39              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.51/33.39            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.51/33.39            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.51/33.39              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.51/33.39            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.51/33.39            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.51/33.39                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.51/33.39                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.51/33.39                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.39                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.51/33.39                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.51/33.39                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.51/33.39                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.51/33.39              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.51/33.39                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.51/33.39                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.51/33.39                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.51/33.39                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.51/33.39                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.51/33.39                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.51/33.39                $i(all_57_7))))
% 196.51/33.39    (43)   ~ (all_52_12 = all_52_14)
% 196.51/33.39    (44)   ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 196.51/33.39            op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 =
% 196.51/33.39              e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 196.51/33.39    (45)   ~ (all_52_7 = e1)
% 196.51/33.39    (46)  op(e0, e1) = all_52_11
% 196.51/33.39    (47)  op(e3, e3) = e3
% 196.51/33.39    (48)   ~ (all_52_12 = e3)
% 196.51/33.39    (49)  op(e1, e1) = e0
% 196.51/33.39    (50)   ~ (all_52_8 = all_52_12)
% 196.51/33.39    (51)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.51/33.39    (52)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.51/33.39          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.51/33.39    (53)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.51/33.39    (54)   ~ (all_52_8 = all_52_11)
% 196.51/33.39    (55)   ~ (all_52_4 = e1)
% 196.51/33.39    (56)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.39          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.39    (57)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 196.51/33.39    (58)   ~ (all_52_2 = all_52_6)
% 196.51/33.39    (59)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.51/33.39    (60)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.51/33.39              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.51/33.39                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.51/33.39                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.51/33.39    (61)  all_54_14 = all_52_11
% 196.51/33.39    (62)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.51/33.39    (63)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.51/33.39          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.51/33.39    (64)  op(e3, e0) = all_52_12
% 196.51/33.39    (65)   ~ (all_52_2 = all_52_3)
% 196.51/33.39    (66)  all_44_2 = e1
% 196.51/33.39    (67)  op(e2, e1) = all_52_9
% 196.51/33.39    (68)   ~ (all_52_4 = all_52_6)
% 196.51/33.39    (69)  op(e3, e1) = all_52_8
% 196.51/33.39    (70)  op(e0, e0) = e3
% 196.51/33.39    (71)   ~ (all_52_9 = all_52_13)
% 196.51/33.39    (72)  all_54_1 = all_52_4
% 196.51/33.39    (73)   ~ (all_52_6 = e1)
% 196.51/33.39    (74)  op(e0, e2) = all_52_7
% 196.51/33.39    (75)   ~ (all_52_8 = e0)
% 196.51/33.39    (76)   ~ (all_52_3 = all_52_11)
% 196.51/33.39    (77)   ~ (all_52_9 = all_52_11)
% 196.51/33.39  
% 196.51/33.39  Begin of proof
% 196.51/33.39  | 
% 196.51/33.39  | ALPHA: (39) implies:
% 196.51/33.39  |   (78)  all_56_7 = e3
% 196.51/33.39  |   (79)  op(e1, e2) = e3
% 196.51/33.39  | 
% 196.51/33.39  | GROUND_INST: instantiating (14) with all_52_6, e3, e2, e1, simplifying with
% 196.51/33.39  |              (3), (79) gives:
% 196.51/33.39  |   (80)  all_52_6 = e3
% 196.51/33.39  | 
% 196.51/33.39  | GROUND_INST: instantiating (14) with all_52_9, e3, e1, e2, simplifying with
% 196.51/33.39  |              (1), (67) gives:
% 196.51/33.39  |   (81)  all_52_9 = e3
% 196.51/33.39  | 
% 196.51/33.39  | REDUCE: (58), (80) imply:
% 196.51/33.39  |   (82)   ~ (all_52_2 = e3)
% 196.51/33.39  | 
% 196.51/33.39  | REDUCE: (68), (80) imply:
% 196.51/33.39  |   (83)   ~ (all_52_4 = e3)
% 196.51/33.39  | 
% 196.51/33.39  | REDUCE: (10), (80) imply:
% 196.51/33.39  |   (84)   ~ (all_52_7 = e3)
% 196.51/33.39  | 
% 196.51/33.39  | SIMP: (84) implies:
% 196.51/33.39  |   (85)   ~ (all_52_7 = e3)
% 196.51/33.39  | 
% 196.51/33.39  | REDUCE: (38), (81) imply:
% 196.51/33.39  |   (86)   ~ (all_52_8 = e3)
% 196.51/33.39  | 
% 196.51/33.39  | REDUCE: (77), (81) imply:
% 196.51/33.39  |   (87)   ~ (all_52_11 = e3)
% 196.51/33.39  | 
% 196.51/33.39  | SIMP: (87) implies:
% 196.51/33.39  |   (88)   ~ (all_52_11 = e3)
% 196.51/33.39  | 
% 196.51/33.39  | BETA: splitting (4) gives:
% 196.51/33.39  | 
% 196.51/33.39  | Case 1:
% 196.51/33.39  | | 
% 196.51/33.39  | |   (89)   ~ (all_44_2 = e1)
% 196.51/33.39  | | 
% 196.51/33.39  | | REDUCE: (66), (89) imply:
% 196.51/33.39  | |   (90)  $false
% 196.51/33.39  | | 
% 196.51/33.39  | | CLOSE: (90) is inconsistent.
% 196.51/33.39  | | 
% 196.51/33.39  | Case 2:
% 196.51/33.39  | | 
% 196.51/33.39  | |   (91)  ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 & op(e2, e1) =
% 196.51/33.39  | |           all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 = e3) &
% 196.51/33.39  | |           op(e2, e1) = all_44_1 & $i(all_44_1))
% 196.51/33.39  | | 
% 196.51/33.39  | | BETA: splitting (15) gives:
% 196.51/33.39  | | 
% 196.51/33.39  | | Case 1:
% 196.51/33.39  | | | 
% 196.51/33.39  | | |   (92)   ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 196.51/33.39  | | |         all_24_1 & $i(all_24_0) & $i(all_24_1)
% 196.51/33.39  | | | 
% 196.51/33.39  | | | ALPHA: (92) implies:
% 196.51/33.39  | | |   (93)  op(e2, e1) = all_24_1
% 196.51/33.39  | | | 
% 196.51/33.39  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 196.51/33.39  | | |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 196.51/33.39  | | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 196.51/33.39  | | |            (36), (37), (40), (41), (42), (43), (44), (45), (46), (47),
% 196.51/33.39  | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 196.51/33.39  | | |            (59), (60), (61), (62), (63), (64), (65), (67), (69), (70),
% 196.51/33.39  | | |            (71), (72), (73), (74), (75), (76), (78), (82), (83), (85),
% 196.51/33.39  | | |            (86), (88), (91), (93) are inconsistent by sub-proof #989.
% 196.51/33.39  | | | 
% 196.51/33.39  | | Case 2:
% 196.51/33.39  | | | 
% 196.51/33.39  | | |   (94)   ~ (all_24_1 = e0) & op(e2, e1) = all_24_1 & $i(all_24_1)
% 196.51/33.39  | | | 
% 196.51/33.39  | | | ALPHA: (94) implies:
% 196.51/33.39  | | |   (95)  op(e2, e1) = all_24_1
% 196.51/33.39  | | | 
% 196.51/33.39  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 196.51/33.39  | | |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 196.51/33.39  | | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 196.51/33.39  | | |            (36), (37), (40), (41), (42), (43), (44), (45), (46), (47),
% 196.51/33.39  | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 196.51/33.39  | | |            (59), (60), (61), (62), (63), (64), (65), (67), (69), (70),
% 196.51/33.39  | | |            (71), (72), (73), (74), (75), (76), (78), (82), (83), (85),
% 196.51/33.39  | | |            (86), (88), (91), (95) are inconsistent by sub-proof #989.
% 196.51/33.39  | | | 
% 196.51/33.39  | | End of split
% 196.51/33.39  | | 
% 196.51/33.39  | End of split
% 196.51/33.39  | 
% 196.51/33.39  End of proof
% 196.51/33.39  
% 196.51/33.39  Sub-proof #989 shows that the following formulas are inconsistent:
% 196.51/33.39  ----------------------------------------------------------------
% 196.51/33.39    (1)   ~ (all_52_4 = e3)
% 196.51/33.39    (2)  op(e2, e1) = e3
% 196.51/33.40    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.51/33.40           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.51/33.40           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.51/33.40                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.51/33.40               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.51/33.40               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.51/33.40           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.51/33.40           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.51/33.40               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.51/33.40           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.51/33.40               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.51/33.40           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.51/33.40           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.51/33.40               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.40               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.51/33.40               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.40         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.51/33.40           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.51/33.40           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.51/33.40               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.51/33.40             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.40         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.51/33.40           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.51/33.40           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.51/33.40                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.51/33.40               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.51/33.40               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.51/33.40           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.51/33.40           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.51/33.40             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.40           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.51/33.40               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.51/33.40           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.51/33.40           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.51/33.40               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.51/33.40               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.51/33.40               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.40         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.51/33.40           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.51/33.40           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.51/33.40               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.51/33.40             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.40         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.51/33.40           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.51/33.40           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.51/33.40                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.51/33.40               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.51/33.40               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.51/33.40           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.51/33.40             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.51/33.40               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.40           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.51/33.40               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.51/33.40           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.51/33.40           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.51/33.40               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.40               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.40               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.51/33.40         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.51/33.40           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.51/33.40           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.51/33.40               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.51/33.40             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.51/33.40         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.51/33.40             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.40           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.51/33.40               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.51/33.40             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.40         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.51/33.40             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.40           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.51/33.40               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.51/33.40             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.40         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.51/33.40             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.51/33.40           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.51/33.40               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.51/33.40             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.40         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.51/33.40             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.51/33.40           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.51/33.40               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.51/33.40             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.51/33.40    (4)  op(e1, e2) = all_52_6
% 196.51/33.40    (5)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.51/33.40    (6)  all_54_3 = all_52_12
% 196.51/33.40    (7)   ~ (all_52_3 = e3)
% 196.51/33.40    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.51/33.40         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.51/33.40    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.51/33.40         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.51/33.40    (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.51/33.40          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.51/33.40    (11)   ~ (all_52_2 = e0)
% 196.51/33.40    (12)  all_54_2 = all_52_8
% 196.51/33.40    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.40            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.40    (14)  op(e3, e2) = all_52_4
% 196.51/33.40    (15)  op(e2, e2) = e1
% 196.51/33.40    (16)  all_56_5 = e3
% 196.51/33.40    (17)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.51/33.40    (18)   ~ (all_52_7 = all_52_11)
% 196.51/33.40    (19)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 196.51/33.40          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.51/33.40    (20)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.40          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.40    (21)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.40          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.40    (22)  all_48_2 = e3
% 196.51/33.40    (23)   ~ (all_52_3 = all_52_7)
% 196.51/33.40    (24)  all_54_12 = all_52_3
% 196.51/33.40    (25)   ~ (all_52_4 = all_52_8)
% 196.51/33.40    (26)  all_54_13 = all_52_7
% 196.51/33.40    (27)   ~ (all_52_4 = all_52_7)
% 196.51/33.40    (28)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.51/33.40          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.51/33.40            e1)
% 196.51/33.40    (29)   ~ (all_52_8 = e3)
% 196.51/33.40    (30)  op(e0, e3) = all_52_3
% 196.51/33.40    (31)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.51/33.40          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.51/33.40            e2)
% 196.51/33.40    (32)  op(e2, e0) = all_52_13
% 196.51/33.40    (33)  op(e1, e0) = all_52_14
% 196.51/33.40    (34)  all_56_15 = e3
% 196.51/33.40    (35)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 196.51/33.40            all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0,
% 196.51/33.40              e3) = all_18_1 & $i(all_18_1))
% 196.51/33.40    (36)  all_54_8 = all_52_2
% 196.51/33.40    (37)   ~ (all_52_4 = all_52_12)
% 196.51/33.40    (38)   ~ (all_52_13 = e1)
% 196.51/33.40    (39)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.51/33.40              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.51/33.40            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.51/33.40            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.51/33.40            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.40            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.51/33.40            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.51/33.40            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.51/33.40            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.51/33.40            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.51/33.40            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.40            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.51/33.40            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.51/33.40            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.51/33.40            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.51/33.40            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.51/33.40            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.40            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.51/33.40            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.51/33.40            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.51/33.40            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.51/33.40            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.40            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.51/33.40            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.51/33.40            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.51/33.40            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.51/33.40            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.51/33.40            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.51/33.40            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.40            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.51/33.40            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.51/33.40            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.51/33.40            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.51/33.40            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.40            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.40            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.51/33.40            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.40            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.51/33.40            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.51/33.40            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.40            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.51/33.40            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.51/33.40            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.51/33.40            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.51/33.40            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.51/33.40            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.51/33.40            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.51/33.40            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.51/33.40              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.51/33.40            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.51/33.40            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.51/33.40              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.51/33.40            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.51/33.40            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.51/33.40                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.51/33.40                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.51/33.40                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.40                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.51/33.40                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.51/33.40                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.51/33.40                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.51/33.40              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.51/33.40                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.51/33.40                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.51/33.40                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.51/33.40                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.51/33.40                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.51/33.40                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.51/33.40                $i(all_57_7))))
% 196.51/33.40    (40)   ~ (all_52_12 = all_52_14)
% 196.51/33.40    (41)   ~ (all_48_2 = e3) | ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 196.51/33.40            op(e0, e3) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 =
% 196.51/33.40              e1) & op(e0, e3) = all_48_1 & $i(all_48_1))
% 196.51/33.40    (42)   ~ (all_52_7 = e1)
% 196.51/33.40    (43)  op(e0, e1) = all_52_11
% 196.51/33.40    (44)  op(e3, e3) = e3
% 196.51/33.40    (45)  all_56_7 = e3
% 196.51/33.40    (46)   ~ (all_52_12 = e3)
% 196.51/33.40    (47)   ~ (all_52_2 = e3)
% 196.51/33.40    (48)  op(e1, e1) = e0
% 196.51/33.40    (49)   ~ (all_52_8 = all_52_12)
% 196.51/33.40    (50)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.51/33.40    (51)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.51/33.40          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.51/33.40    (52)  ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 & op(e2, e1) =
% 196.51/33.40            all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 = e3) & op(e2,
% 196.51/33.40              e1) = all_44_1 & $i(all_44_1))
% 196.51/33.40    (53)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.51/33.40    (54)   ~ (all_52_11 = e3)
% 196.51/33.40    (55)   ~ (all_52_8 = all_52_11)
% 196.51/33.40    (56)   ~ (all_52_4 = e1)
% 196.51/33.40    (57)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.40          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.40    (58)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 196.51/33.40    (59)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.51/33.40    (60)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.51/33.40              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.51/33.40                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.51/33.40                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.51/33.40    (61)  op(e2, e1) = all_24_1
% 196.51/33.40    (62)  all_54_14 = all_52_11
% 196.51/33.40    (63)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.51/33.40    (64)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.51/33.40          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.51/33.40    (65)  op(e3, e0) = all_52_12
% 196.51/33.40    (66)   ~ (all_52_7 = e3)
% 196.51/33.40    (67)   ~ (all_52_2 = all_52_3)
% 196.51/33.40    (68)  op(e2, e1) = all_52_9
% 196.51/33.40    (69)  op(e3, e1) = all_52_8
% 196.51/33.40    (70)  op(e0, e0) = e3
% 196.51/33.40    (71)   ~ (all_52_9 = all_52_13)
% 196.51/33.40    (72)  all_54_1 = all_52_4
% 196.51/33.40    (73)   ~ (all_52_6 = e1)
% 196.51/33.40    (74)  op(e0, e2) = all_52_7
% 196.51/33.40    (75)   ~ (all_52_8 = e0)
% 196.51/33.40    (76)   ~ (all_52_3 = all_52_11)
% 196.51/33.40  
% 196.51/33.40  Begin of proof
% 196.51/33.40  | 
% 196.51/33.40  | GROUND_INST: instantiating (13) with e3, all_24_1, e1, e2, simplifying with
% 196.51/33.40  |              (2), (61) gives:
% 196.51/33.40  |   (77)  all_24_1 = e3
% 196.51/33.40  | 
% 196.51/33.40  | BETA: splitting (52) gives:
% 196.51/33.40  | 
% 196.51/33.40  | Case 1:
% 196.51/33.40  | | 
% 196.51/33.40  | |   (78)   ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 & op(e2, e1) =
% 196.51/33.40  | |         all_44_1 & $i(all_44_0) & $i(all_44_1)
% 196.51/33.40  | | 
% 196.51/33.40  | | ALPHA: (78) implies:
% 196.51/33.40  | |   (79)   ~ (all_44_0 = e0)
% 196.51/33.40  | |   (80)  op(e2, e1) = all_44_1
% 196.51/33.40  | |   (81)  op(all_44_1, e2) = all_44_0
% 196.51/33.40  | | 
% 196.51/33.40  | | GROUND_INST: instantiating (13) with e3, all_44_1, e1, e2, simplifying with
% 196.51/33.40  | |              (2), (80) gives:
% 196.51/33.40  | |   (82)  all_44_1 = e3
% 196.51/33.40  | | 
% 196.51/33.40  | | REDUCE: (81), (82) imply:
% 196.51/33.40  | |   (83)  op(e3, e2) = all_44_0
% 196.51/33.40  | | 
% 196.51/33.40  | | GROUND_INST: instantiating (13) with all_52_4, all_44_0, e2, e3, simplifying
% 196.51/33.40  | |              with (14), (83) gives:
% 196.51/33.40  | |   (84)  all_52_4 = all_44_0
% 196.51/33.40  | | 
% 196.51/33.40  | | COMBINE_EQS: (72), (84) imply:
% 196.51/33.40  | |   (85)  all_54_1 = all_44_0
% 196.51/33.40  | | 
% 196.51/33.40  | | REDUCE: (27), (84) imply:
% 196.51/33.40  | |   (86)   ~ (all_52_7 = all_44_0)
% 196.51/33.40  | | 
% 196.51/33.40  | | SIMP: (86) implies:
% 196.51/33.40  | |   (87)   ~ (all_52_7 = all_44_0)
% 196.51/33.40  | | 
% 196.51/33.40  | | REDUCE: (25), (84) imply:
% 196.51/33.40  | |   (88)   ~ (all_52_8 = all_44_0)
% 196.51/33.40  | | 
% 196.51/33.40  | | SIMP: (88) implies:
% 196.51/33.40  | |   (89)   ~ (all_52_8 = all_44_0)
% 196.51/33.40  | | 
% 196.51/33.40  | | REDUCE: (37), (84) imply:
% 196.51/33.40  | |   (90)   ~ (all_52_12 = all_44_0)
% 196.51/33.40  | | 
% 196.51/33.40  | | SIMP: (90) implies:
% 196.51/33.40  | |   (91)   ~ (all_52_12 = all_44_0)
% 196.51/33.40  | | 
% 196.51/33.40  | | REDUCE: (1), (84) imply:
% 196.51/33.40  | |   (92)   ~ (all_44_0 = e3)
% 196.51/33.40  | | 
% 196.51/33.40  | | REDUCE: (56), (84) imply:
% 196.51/33.40  | |   (93)   ~ (all_44_0 = e1)
% 196.51/33.40  | | 
% 196.51/33.40  | | BETA: splitting (63) gives:
% 196.51/33.40  | | 
% 196.51/33.40  | | Case 1:
% 196.51/33.40  | | | 
% 196.51/33.40  | | |   (94)  all_54_1 = e3
% 196.51/33.40  | | | 
% 196.51/33.40  | | | COMBINE_EQS: (85), (94) imply:
% 196.51/33.40  | | |   (95)  all_44_0 = e3
% 196.51/33.40  | | | 
% 196.51/33.40  | | | REDUCE: (92), (95) imply:
% 196.51/33.40  | | |   (96)  $false
% 196.51/33.40  | | | 
% 196.51/33.40  | | | CLOSE: (96) is inconsistent.
% 196.51/33.40  | | | 
% 196.51/33.40  | | Case 2:
% 196.51/33.40  | | | 
% 196.51/33.40  | | |   (97)   ~ (all_54_1 = e3)
% 196.51/33.40  | | |   (98)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.51/33.40  | | | 
% 196.51/33.40  | | | BETA: splitting (98) gives:
% 196.51/33.40  | | | 
% 196.51/33.40  | | | Case 1:
% 196.51/33.40  | | | | 
% 196.51/33.40  | | | |   (99)  all_54_1 = e2
% 196.51/33.40  | | | | 
% 196.51/33.40  | | | | COMBINE_EQS: (85), (99) imply:
% 196.51/33.40  | | | |   (100)  all_44_0 = e2
% 196.51/33.40  | | | | 
% 196.51/33.40  | | | | REDUCE: (87), (100) imply:
% 196.51/33.40  | | | |   (101)   ~ (all_52_7 = e2)
% 196.51/33.40  | | | | 
% 196.51/33.40  | | | | REDUCE: (89), (100) imply:
% 196.51/33.40  | | | |   (102)   ~ (all_52_8 = e2)
% 196.51/33.40  | | | | 
% 196.51/33.40  | | | | REDUCE: (91), (100) imply:
% 196.51/33.40  | | | |   (103)   ~ (all_52_12 = e2)
% 196.51/33.40  | | | | 
% 196.51/33.40  | | | | REDUCE: (92), (100) imply:
% 196.51/33.40  | | | |   (104)   ~ (e3 = e2)
% 196.51/33.40  | | | | 
% 196.51/33.40  | | | | SIMP: (104) implies:
% 196.51/33.40  | | | |   (105)   ~ (e3 = e2)
% 196.51/33.40  | | | | 
% 196.51/33.40  | | | | BETA: splitting (59) gives:
% 196.51/33.40  | | | | 
% 196.51/33.40  | | | | Case 1:
% 196.51/33.40  | | | | | 
% 196.51/33.40  | | | | |   (106)  all_54_13 = e3
% 196.51/33.40  | | | | | 
% 196.51/33.40  | | | | | REF_CLOSE: (26), (66), (106) are inconsistent by sub-proof #1445.
% 196.51/33.40  | | | | | 
% 196.51/33.40  | | | | Case 2:
% 196.51/33.40  | | | | | 
% 196.51/33.40  | | | | |   (107)   ~ (all_54_13 = e3)
% 196.51/33.40  | | | | |   (108)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.51/33.40  | | | | | 
% 196.51/33.40  | | | | | BETA: splitting (108) gives:
% 196.51/33.40  | | | | | 
% 196.51/33.40  | | | | | Case 1:
% 196.51/33.40  | | | | | | 
% 196.51/33.40  | | | | | |   (109)  all_54_13 = e2
% 196.51/33.40  | | | | | | 
% 196.51/33.40  | | | | | | REF_CLOSE: (26), (101), (109) are inconsistent by sub-proof #1444.
% 196.51/33.40  | | | | | | 
% 196.51/33.40  | | | | | Case 2:
% 196.51/33.40  | | | | | | 
% 196.51/33.40  | | | | | |   (110)   ~ (all_54_13 = e2)
% 196.51/33.40  | | | | | |   (111)  all_54_13 = e1 | all_54_13 = e0
% 196.51/33.40  | | | | | | 
% 196.51/33.40  | | | | | | BETA: splitting (53) gives:
% 196.51/33.40  | | | | | | 
% 196.51/33.40  | | | | | | Case 1:
% 196.51/33.40  | | | | | | | 
% 196.51/33.40  | | | | | | |   (112)  all_54_2 = e3
% 196.51/33.40  | | | | | | | 
% 196.51/33.40  | | | | | | | REF_CLOSE: (12), (29), (112) are inconsistent by sub-proof #1762.
% 196.51/33.40  | | | | | | | 
% 196.51/33.40  | | | | | | Case 2:
% 196.51/33.40  | | | | | | | 
% 196.51/33.40  | | | | | | |   (113)   ~ (all_54_2 = e3)
% 196.51/33.40  | | | | | | |   (114)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.51/33.40  | | | | | | | 
% 196.51/33.40  | | | | | | | BETA: splitting (114) gives:
% 196.51/33.40  | | | | | | | 
% 196.51/33.40  | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | 
% 196.51/33.40  | | | | | | | |   (115)  all_54_2 = e2
% 196.51/33.40  | | | | | | | | 
% 196.51/33.40  | | | | | | | | REF_CLOSE: (12), (102), (115) are inconsistent by sub-proof
% 196.51/33.40  | | | | | | | |            #1761.
% 196.51/33.40  | | | | | | | | 
% 196.51/33.40  | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | 
% 196.51/33.40  | | | | | | | |   (116)   ~ (all_54_2 = e2)
% 196.51/33.40  | | | | | | | |   (117)  all_54_2 = e1 | all_54_2 = e0
% 196.51/33.40  | | | | | | | | 
% 196.51/33.40  | | | | | | | | BETA: splitting (117) gives:
% 196.51/33.40  | | | | | | | | 
% 196.51/33.40  | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | |   (118)  all_54_2 = e1
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | COMBINE_EQS: (12), (118) imply:
% 196.51/33.40  | | | | | | | | |   (119)  all_52_8 = e1
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | SIMP: (119) implies:
% 196.51/33.40  | | | | | | | | |   (120)  all_52_8 = e1
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | REDUCE: (55), (120) imply:
% 196.51/33.40  | | | | | | | | |   (121)   ~ (all_52_11 = e1)
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | SIMP: (121) implies:
% 196.51/33.40  | | | | | | | | |   (122)   ~ (all_52_11 = e1)
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | REDUCE: (49), (120) imply:
% 196.51/33.40  | | | | | | | | |   (123)   ~ (all_52_12 = e1)
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | SIMP: (123) implies:
% 196.51/33.40  | | | | | | | | |   (124)   ~ (all_52_12 = e1)
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | REDUCE: (29), (120) imply:
% 196.51/33.40  | | | | | | | | |   (125)   ~ (e3 = e1)
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | SIMP: (125) implies:
% 196.51/33.40  | | | | | | | | |   (126)   ~ (e3 = e1)
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | REDUCE: (102), (120) imply:
% 196.51/33.40  | | | | | | | | |   (127)   ~ (e2 = e1)
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | SIMP: (127) implies:
% 196.51/33.40  | | | | | | | | |   (128)   ~ (e2 = e1)
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | BETA: splitting (111) gives:
% 196.51/33.40  | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | |   (129)  all_54_13 = e1
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | REF_CLOSE: (26), (42), (129) are inconsistent by sub-proof
% 196.51/33.40  | | | | | | | | | |            #1654.
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | |   (130)  all_54_13 = e0
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | COMBINE_EQS: (26), (130) imply:
% 196.51/33.40  | | | | | | | | | |   (131)  all_52_7 = e0
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | SIMP: (131) implies:
% 196.51/33.40  | | | | | | | | | |   (132)  all_52_7 = e0
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | REDUCE: (23), (132) imply:
% 196.51/33.40  | | | | | | | | | |   (133)   ~ (all_52_3 = e0)
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | REDUCE: (18), (132) imply:
% 196.51/33.40  | | | | | | | | | |   (134)   ~ (all_52_11 = e0)
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | SIMP: (134) implies:
% 196.51/33.40  | | | | | | | | | |   (135)   ~ (all_52_11 = e0)
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | REDUCE: (66), (132) imply:
% 196.51/33.40  | | | | | | | | | |   (136)   ~ (e3 = e0)
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | SIMP: (136) implies:
% 196.51/33.40  | | | | | | | | | |   (137)   ~ (e3 = e0)
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | REDUCE: (101), (132) imply:
% 196.51/33.40  | | | | | | | | | |   (138)   ~ (e2 = e0)
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | SIMP: (138) implies:
% 196.51/33.40  | | | | | | | | | |   (139)   ~ (e2 = e0)
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | REDUCE: (42), (132) imply:
% 196.51/33.40  | | | | | | | | | |   (140)   ~ (e1 = e0)
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | SIMP: (140) implies:
% 196.51/33.40  | | | | | | | | | |   (141)   ~ (e1 = e0)
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | BETA: splitting (58) gives:
% 196.51/33.40  | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | |   (142)  all_54_14 = e3
% 196.51/33.40  | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | REF_CLOSE: (54), (62), (142) are inconsistent by sub-proof
% 196.51/33.40  | | | | | | | | | | |            #1260.
% 196.51/33.40  | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | |   (143)   ~ (all_54_14 = e3)
% 196.51/33.40  | | | | | | | | | | |   (144)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 196.51/33.40  | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | BETA: splitting (9) gives:
% 196.51/33.40  | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | |   (145)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 196.51/33.40  | | | | | | | | | | | |            & op(e3, e2) = e1)
% 196.51/33.40  | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (25), (44), (75), (117), (126),
% 196.51/33.40  | | | | | | | | | | | |            (145) are inconsistent by sub-proof #1002.
% 196.51/33.40  | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | |   (146)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 196.51/33.40  | | | | | | | | | | | |            & op(e3, e0) = e1)
% 196.51/33.40  | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | BETA: splitting (146) gives:
% 196.51/33.40  | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | |   (147)  all_56_4 = e1 & op(e3, e1) = e1
% 196.51/33.40  | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | ALPHA: (147) implies:
% 196.51/33.40  | | | | | | | | | | | | |   (148)  all_56_4 = e1
% 196.51/33.40  | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | BETA: splitting (10) gives:
% 196.51/33.40  | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | |   (149)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.51/33.40  | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 196.51/33.40  | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 196.51/33.40  | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | |   (150)  all_56_1 = e2 & op(e3, e2) = e2
% 196.51/33.40  | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 196.51/33.40  | | | | | | | | | | | | | | |   (151)  all_56_1 = e2
% 196.51/33.40  | | | | | | | | | | | | | | |   (152)  op(e3, e2) = e2
% 196.51/33.40  | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | |   (153)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 196.51/33.40  | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 196.51/33.40  | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | |   (154)  all_56_12 = e1 & op(e0, e3) = e1
% 196.51/33.40  | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | |   (155)  all_56_12 = e1
% 196.51/33.40  | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | |   (156)  all_56_15 = e0 & op(e0, e0) = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (16), (20), (21), (34), (48), (57), (105),
% 196.51/33.40  | | | | | | | | | | | | | | | | | |            (126), (128), (137), (139), (141), (156) are
% 196.51/33.40  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1029.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | |   (157)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.51/33.40  | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.51/33.40  | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.51/33.40  | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.51/33.40  | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.51/33.40  | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | | |   (158)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.51/33.40  | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.51/33.40  | | | | | | | | | | | | | | | | | |              e1) = e0)
% 196.51/33.40  | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | |   (159)  all_56_12 = e0 & op(e0, e3) = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (20), (21), (48), (57), (105), (126), (128),
% 196.51/33.40  | | | | | | | | | | | | | | | | | | |            (137), (139), (141), (148), (155), (159) are
% 196.51/33.40  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1505.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | |   (160)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 196.51/33.40  | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | |   (161)  all_56_13 = e0 & op(e0, e2) = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | |   (162)  all_56_13 = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | |   (163)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (32), (38), (65), (124), (163) are
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1190.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | |   (164)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | |   (165)  all_56_11 = e1 & op(e1, e0) = e1
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (165) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | |   (166)  all_56_11 = e1
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | |   (167)  op(e1, e0) = e1
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | |   (168)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_56_12 = e2 & op(e0, e3) = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | |   (170)  all_56_12 = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (155), (170) are inconsistent by sub-proof
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | |   (171)  all_56_13 = e2 & op(e0, e2) = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (162), (171) are inconsistent by sub-proof
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | |            #1001.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | |   (172)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_56_14 = e2 & op(e0, e1) = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_56_14 = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_54_3 = e3
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6), (175) imply:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_52_12 = e3
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (176) imply:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  $false
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (177) is inconsistent.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (44), (137), (139), (151), (179) are
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1000.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (180)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_56_4 = e0 & op(e3, e1) = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_56_4 = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (20), (21), (48), (57), (105), (126), (128),
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (139), (141), (182) are inconsistent by
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  all_56_9 = e0 & op(e3, e0) = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_56_9 = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)  op(e3, e0) = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  all_54_3 = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6), (186) imply:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_52_12 = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (187) imply:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  $false
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (188) is inconsistent.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  all_54_3 = e1 | all_54_3 = e0
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_56_9 = e2 & op(e3, e0) = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_56_9 = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (184), (192) are inconsistent by sub-proof
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1919.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_56_10 = e2 & op(e2, e0) = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  op(e2, e0) = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_54_14 = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (195) imply:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_52_11 = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (196) implies:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  all_52_11 = e2
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (197) imply:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)   ~ (all_52_3 = e2)
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_54_12 = e3
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (24), (199) are inconsistent by sub-proof
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1466.
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)   ~ (all_54_12 = e3)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  op(e3, e3) = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (44), (105), (206) are inconsistent by
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1957.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  op(e2, e2) = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (126), (208) are inconsistent by
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1679.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  op(e3, e3) = e1
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (44), (126), (211) are inconsistent by
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (212) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  op(e1, e1) = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (16), (137), (139), (141), (148),
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (174), (213) are inconsistent by sub-proof #1497.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  op(e3, e3) = e0
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (44), (137), (217) are inconsistent by
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1961.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & $i(all_57_1)))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  op(e0, e3) = e0
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_54_12 = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (198), (220) are inconsistent by sub-proof
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1465.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_54_12 = e1 | all_54_12 = e0
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_54_12 = e1
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (222) imply:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_52_3 = e1
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (223) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_52_3 = e1
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (224) imply:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)   ~ (all_52_2 = e1)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (224) imply:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  op(e0, e3) = e1
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)   ~ (all_48_2 = e3)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (227) imply:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  $false
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (228) is inconsistent.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  ( ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e3) = all_48_1 & $i(all_48_0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_48_1)) | ( ~ (all_48_1 = e1) & op(e0, e3)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_48_1 & $i(all_48_1))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)   ~ (all_48_0 = e2) & op(all_48_1, e0) = all_48_0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e3) = all_48_1 & $i(all_48_0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_48_1)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  op(e0, e3) = all_48_1
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (20), (21), (35), (36), (47), (48),
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (50), (57), (126), (137), (141), (148), (219),
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (226), (231) are inconsistent by sub-proof
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #998.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)   ~ (all_48_1 = e1) & op(e0, e3) = all_48_1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_48_1)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  op(e0, e3) = all_48_1
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (20), (21), (35), (36), (47), (48),
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (50), (57), (126), (137), (141), (148), (219),
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (226), (233) are inconsistent by sub-proof
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #998.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_54_12 = e0
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (133), (234) are inconsistent by sub-proof
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1098.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13), (32), (68), (71), (73), (194), (235)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #997.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  op(e2, e2) = e0
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (141), (240) are inconsistent by
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1909.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (241) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_57_15 = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_57_11 = e0
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_57_5 = e0
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  op(e0, e0) = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_57_14 = e2 & op(e1, e1) = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (247) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  op(e1, e1) = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (48), (139), (248) are inconsistent by
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1821.
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)   ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)   ~ (all_57_4 = e1)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  op(e1, e2) = all_57_4
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  op(e1, e1) = e3
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (16), (137), (139), (141), (148),
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (174), (256) are inconsistent by sub-proof #1497.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (257) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_57_15 = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (242), (258) are inconsistent by sub-proof
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #996.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_14)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  op(e2, e2) = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (126), (261) are inconsistent by
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1679.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (262) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_57_15 = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (242), (263) are inconsistent by sub-proof
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #996.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  op(e1, e1) = e2
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (48), (139), (267) are inconsistent by
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1821.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (268) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)   ~ (all_57_5 = e0)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (244), (269) imply:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  $false
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (270) is inconsistent.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (272) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  op(e1, e2) = e1
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (250), (251), (273) are inconsistent by
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1303.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (275) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  op(e1, e2) = e1
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (250), (251), (276) are inconsistent by
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1303.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (277) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  op(e3, e1) = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (29), (69), (278) are inconsistent by
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1759.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (44), (126), (128), (245), (281) are
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (128), (137), (185), (245), (282) are
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #995.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (44), (137), (284) are inconsistent by
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1960.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_57_11 = e2
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (243), (287) imply:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  e2 = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (288) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  e2 = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (289) imply:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  $false
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (290) is inconsistent.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (43), (44), (48), (105), (126), (135),
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (139), (141), (291) are inconsistent by
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #994.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (33), (40), (43), (122), (124), (189),
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (292) are inconsistent by sub-proof #993.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_57_10 = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_57_14 = e3 & op(e1, e1) = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  op(e1, e1) = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (16), (137), (139), (141), (148),
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (174), (300) are inconsistent by sub-proof #1497.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)   ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (301) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)   ~ (all_57_1 = e1)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  op(e1, e3) = all_57_1
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_57_12 = e3 & op(e2, e2) = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (304) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  op(e2, e2) = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (126), (305) are inconsistent by
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1679.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)   ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (306) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)   ~ (all_57_0 = e2)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  op(e1, e1) = e3
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (16), (137), (139), (141), (148),
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (174), (312) are inconsistent by sub-proof #1497.
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_57_0 = e2
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (314) imply:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  $false
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (315) is inconsistent.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_14)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  op(e2, e2) = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (126), (318) are inconsistent by
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1679.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (319) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  op(e1, e3) = e1
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (302), (303), (320) are inconsistent by
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1326.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  op(e1, e1) = e2
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (48), (139), (324) are inconsistent by
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1821.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (325) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)   ~ (all_57_10 = e2)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  op(e3, e2) = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (105), (152), (327) are inconsistent by
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1927.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13), (29), (69), (73), (328) are
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1677.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (44), (70), (126), (331) are inconsistent by
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1045.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (70), (126), (137), (185), (332) are
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (43), (44), (48), (105), (126), (135),
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (139), (141), (167), (333) are inconsistent
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #992.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  op(e2, e2) = e2
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (128), (335) are inconsistent by
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1783.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (337) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  op(e1, e1) = e1
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (48), (141), (338) are inconsistent by
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1959.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (339) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_57_15 = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  op(e0, e0) = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  op(e1, e1) = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (16), (137), (139), (141), (148),
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (174), (346) are inconsistent by sub-proof #1497.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_57_15 = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (16), (20), (21), (48), (57), (105), (126),
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (137), (139), (141), (340), (348) are
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #991.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_14)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  op(e2, e2) = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (126), (351) are inconsistent by
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1679.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (352) implies:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_57_15 = e3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (16), (20), (21), (48), (57), (105), (126),
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (137), (139), (141), (340), (353) are
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #991.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (105), (152), (355) are inconsistent by
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1141.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13), (29), (69), (73), (356) are
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1677.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (358) gives:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (44), (126), (141), (341), (359) are
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1312.
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_12)
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (361) implies:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  op(e0, e0) = e1
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (141), (341), (362) are inconsistent by
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1943.
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (137), (185), (363) are inconsistent by
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1383.
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (43), (44), (48), (105), (126), (135),
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (139), (141), (167), (364) are inconsistent
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #992.
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_54_14 = e1 | all_54_14 = e0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (62), (122), (135), (365) are inconsistent by
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1737.
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_56_11 = e2 & op(e1, e0) = e2
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (166), (367) are inconsistent by sub-proof
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1138.
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_56_15 = e2 & op(e0, e0) = e2
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (105), (368) are inconsistent by sub-proof
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1004.
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_56_15 = e2 & op(e0, e0) = e2
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (105), (369) are inconsistent by sub-proof
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | |            #1004.
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | |   (370)  all_56_15 = e1 & op(e0, e0) = e1
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (370) implies:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | |   (371)  op(e0, e0) = e1
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (70), (126), (371) are inconsistent by
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1392.
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | |   (372)  all_56_14 = e0 & op(e0, e1) = e0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | ALPHA: (372) implies:
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | |   (373)  op(e0, e1) = e0
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (43), (135), (373) are inconsistent by
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | |            sub-proof #1931.
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | |   (374)  all_56_13 = e1 & op(e0, e2) = e1
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | ALPHA: (374) implies:
% 196.51/33.44  | | | | | | | | | | | | | | | | |   (375)  op(e0, e2) = e1
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (42), (74), (375) are inconsistent by
% 196.51/33.44  | | | | | | | | | | | | | | | | |            sub-proof #1649.
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | |   (376)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 196.51/33.44  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (43), (70), (122), (126), (376) are
% 196.51/33.44  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1114.
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | |   (377)  all_56_3 = e2 & op(e2, e2) = e2
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | ALPHA: (377) implies:
% 196.51/33.44  | | | | | | | | | | | | | | |   (378)  op(e2, e2) = e2
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (128), (378) are inconsistent by
% 196.51/33.44  | | | | | | | | | | | | | | |            sub-proof #1783.
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | |   (379)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.51/33.44  | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 196.51/33.44  | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 196.51/33.44  | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | Case 1:
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | |   (380)  all_56_7 = e2 & op(e1, e2) = e2
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | ALPHA: (380) implies:
% 196.51/33.44  | | | | | | | | | | | | | | |   (381)  all_56_7 = e2
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | REF_CLOSE: (45), (105), (381) are inconsistent by sub-proof
% 196.51/33.44  | | | | | | | | | | | | | | |            #1865.
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | |   (382)  all_56_13 = e2 & op(e0, e2) = e2
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | ALPHA: (382) implies:
% 196.51/33.44  | | | | | | | | | | | | | | |   (383)  all_56_13 = e2
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | Case 1:
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | |   (384)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 196.51/33.44  | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | Case 1:
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | |   (385)  all_56_12 = e1 & op(e0, e3) = e1
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | ALPHA: (385) implies:
% 196.51/33.44  | | | | | | | | | | | | | | | | |   (386)  all_56_12 = e1
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (16), (20), (21), (34), (43), (48), (57),
% 196.51/33.44  | | | | | | | | | | | | | | | | |            (60), (105), (126), (128), (135), (137), (139),
% 196.51/33.44  | | | | | | | | | | | | | | | | |            (141), (148), (383), (386) are inconsistent by
% 196.51/33.44  | | | | | | | | | | | | | | | | |            sub-proof #990.
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | |   (387)  all_56_13 = e1 & op(e0, e2) = e1
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | ALPHA: (387) implies:
% 196.51/33.44  | | | | | | | | | | | | | | | | |   (388)  op(e0, e2) = e1
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (42), (74), (388) are inconsistent by
% 196.51/33.44  | | | | | | | | | | | | | | | | |            sub-proof #1649.
% 196.51/33.44  | | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | |   (389)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 196.51/33.44  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (43), (70), (122), (126), (389) are
% 196.51/33.44  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1114.
% 196.51/33.44  | | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | |   (390)  all_56_9 = e1 & op(e3, e0) = e1
% 196.51/33.44  | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | ALPHA: (390) implies:
% 196.51/33.44  | | | | | | | | | | | | |   (391)  op(e3, e0) = e1
% 196.51/33.44  | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | | REF_CLOSE: (13), (65), (124), (391) are inconsistent by
% 196.51/33.44  | | | | | | | | | | | | |            sub-proof #1949.
% 196.51/33.44  | | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | | 
% 196.51/33.44  | | | | | | | | Case 2:
% 196.51/33.44  | | | | | | | | | 
% 196.51/33.44  | | | | | | | | |   (392)  all_54_2 = e0
% 196.51/33.44  | | | | | | | | | 
% 196.51/33.44  | | | | | | | | | REF_CLOSE: (12), (75), (392) are inconsistent by sub-proof
% 196.51/33.44  | | | | | | | | |            #1389.
% 196.51/33.44  | | | | | | | | | 
% 196.51/33.44  | | | | | | | | End of split
% 196.51/33.44  | | | | | | | | 
% 196.51/33.44  | | | | | | | End of split
% 196.51/33.44  | | | | | | | 
% 196.51/33.44  | | | | | | End of split
% 196.51/33.44  | | | | | | 
% 196.51/33.44  | | | | | End of split
% 196.51/33.44  | | | | | 
% 196.51/33.44  | | | | End of split
% 196.51/33.44  | | | | 
% 196.51/33.44  | | | Case 2:
% 196.51/33.44  | | | | 
% 196.51/33.44  | | | |   (393)  all_54_1 = e1 | all_54_1 = e0
% 196.51/33.44  | | | | 
% 196.51/33.44  | | | | REF_CLOSE: (79), (85), (93), (393) are inconsistent by sub-proof #1044.
% 196.51/33.44  | | | | 
% 196.51/33.44  | | | End of split
% 196.51/33.44  | | | 
% 196.51/33.44  | | End of split
% 196.51/33.44  | | 
% 196.51/33.44  | Case 2:
% 196.51/33.44  | | 
% 196.51/33.44  | |   (394)   ~ (all_44_1 = e3) & op(e2, e1) = all_44_1 & $i(all_44_1)
% 196.51/33.44  | | 
% 196.51/33.44  | | ALPHA: (394) implies:
% 196.51/33.44  | |   (395)   ~ (all_44_1 = e3)
% 196.51/33.44  | |   (396)  op(e2, e1) = all_44_1
% 196.51/33.44  | | 
% 196.51/33.44  | | GROUND_INST: instantiating (13) with e3, all_44_1, e1, e2, simplifying with
% 196.51/33.44  | |              (2), (396) gives:
% 196.51/33.44  | |   (397)  all_44_1 = e3
% 196.51/33.44  | | 
% 196.51/33.44  | | REDUCE: (395), (397) imply:
% 196.51/33.44  | |   (398)  $false
% 196.51/33.44  | | 
% 196.51/33.44  | | CLOSE: (398) is inconsistent.
% 196.51/33.44  | | 
% 196.51/33.44  | End of split
% 196.51/33.44  | 
% 196.51/33.44  End of proof
% 196.51/33.44  
% 196.51/33.44  Sub-proof #990 shows that the following formulas are inconsistent:
% 196.51/33.44  ----------------------------------------------------------------
% 196.51/33.44    (1)   ~ (e3 = e2)
% 196.51/33.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.44    (3)  all_56_5 = e3
% 196.51/33.44    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.44         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.44    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.44         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.44    (6)  all_56_13 = e2
% 196.51/33.44    (7)  all_56_15 = e3
% 196.51/33.44    (8)  all_56_4 = e1
% 196.51/33.44    (9)  all_56_12 = e1
% 196.51/33.44    (10)  op(e0, e1) = all_52_11
% 196.51/33.44    (11)  op(e1, e1) = e0
% 196.51/33.44    (12)   ~ (e1 = e0)
% 196.51/33.44    (13)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.44          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.44    (14)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.51/33.44              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.51/33.44                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.51/33.44                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.51/33.44    (15)   ~ (e2 = e1)
% 196.51/33.44    (16)   ~ (all_52_11 = e0)
% 196.51/33.44    (17)   ~ (e3 = e1)
% 196.51/33.44    (18)   ~ (e2 = e0)
% 196.51/33.44    (19)   ~ (e3 = e0)
% 196.51/33.44  
% 196.51/33.44  Begin of proof
% 196.51/33.44  | 
% 196.51/33.44  | BETA: splitting (14) gives:
% 196.51/33.44  | 
% 196.51/33.44  | Case 1:
% 196.51/33.44  | | 
% 196.51/33.44  | |   (20)  all_56_15 = e0 & op(e0, e0) = e0
% 196.51/33.44  | | 
% 196.51/33.44  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (11), (12), (13), (15), (17), (18),
% 196.51/33.44  | |            (19), (20) are inconsistent by sub-proof #1029.
% 196.51/33.44  | | 
% 196.51/33.44  | Case 2:
% 196.51/33.44  | | 
% 196.51/33.44  | |   (21)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.51/33.44  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 196.51/33.44  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.51/33.44  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.51/33.44  | | 
% 196.51/33.44  | | ALPHA: (21) implies:
% 196.51/33.44  | |   (22)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.51/33.44  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.51/33.44  | | 
% 196.51/33.44  | | BETA: splitting (22) gives:
% 196.51/33.44  | | 
% 196.51/33.44  | | Case 1:
% 196.51/33.44  | | | 
% 196.51/33.44  | | |   (23)  all_56_12 = e0 & op(e0, e3) = e0
% 196.51/33.44  | | | 
% 196.51/33.44  | | | ALPHA: (23) implies:
% 196.51/33.44  | | |   (24)  all_56_12 = e0
% 196.51/33.44  | | | 
% 196.51/33.44  | | | COMBINE_EQS: (9), (24) imply:
% 196.51/33.44  | | |   (25)  e1 = e0
% 196.51/33.44  | | | 
% 196.51/33.44  | | | SIMP: (25) implies:
% 196.51/33.44  | | |   (26)  e1 = e0
% 196.51/33.44  | | | 
% 196.51/33.44  | | | COMBINE_EQS: (8), (26) imply:
% 196.51/33.44  | | |   (27)  all_56_4 = e0
% 196.51/33.44  | | | 
% 196.51/33.44  | | | REF_CLOSE: (1), (2), (4), (5), (11), (12), (13), (15), (17), (18), (19),
% 196.51/33.44  | | |            (27) are inconsistent by sub-proof #1809.
% 196.51/33.44  | | | 
% 196.51/33.44  | | Case 2:
% 196.51/33.44  | | | 
% 196.51/33.44  | | |   (28)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 196.51/33.44  | | |           = e0)
% 196.51/33.44  | | | 
% 196.51/33.44  | | | REF_CLOSE: (2), (6), (10), (16), (18), (28) are inconsistent by sub-proof
% 196.51/33.44  | | |            #1026.
% 196.51/33.44  | | | 
% 196.51/33.44  | | End of split
% 196.51/33.44  | | 
% 196.51/33.44  | End of split
% 196.51/33.44  | 
% 196.51/33.44  End of proof
% 196.51/33.44  
% 196.51/33.44  Sub-proof #991 shows that the following formulas are inconsistent:
% 196.51/33.44  ----------------------------------------------------------------
% 196.51/33.44    (1)   ~ (e3 = e2)
% 196.51/33.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.44    (3)  all_57_15 = e3
% 196.51/33.44    (4)  all_56_5 = e3
% 196.51/33.44    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.44         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.44    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.44         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.44    (7)  all_57_15 = e0
% 196.51/33.44    (8)  op(e1, e1) = e0
% 196.51/33.44    (9)   ~ (e1 = e0)
% 196.51/33.44    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.44          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.44    (11)   ~ (e2 = e1)
% 196.51/33.44    (12)   ~ (e3 = e1)
% 196.51/33.44    (13)   ~ (e2 = e0)
% 196.51/33.44    (14)   ~ (e3 = e0)
% 196.51/33.44  
% 196.51/33.44  Begin of proof
% 196.51/33.44  | 
% 196.51/33.44  | COMBINE_EQS: (3), (7) imply:
% 196.51/33.44  |   (15)  e3 = e0
% 196.51/33.44  | 
% 196.51/33.44  | SIMP: (15) implies:
% 196.51/33.44  |   (16)  e3 = e0
% 196.51/33.44  | 
% 196.51/33.44  | COMBINE_EQS: (4), (16) imply:
% 196.51/33.44  |   (17)  all_56_5 = e0
% 196.51/33.44  | 
% 196.51/33.44  | REF_CLOSE: (1), (2), (5), (6), (8), (9), (10), (11), (12), (13), (14), (17)
% 196.51/33.44  |            are inconsistent by sub-proof #1551.
% 196.51/33.44  | 
% 196.51/33.44  End of proof
% 196.51/33.44  
% 196.51/33.44  Sub-proof #992 shows that the following formulas are inconsistent:
% 196.51/33.44  ----------------------------------------------------------------
% 196.51/33.44    (1)   ~ (e3 = e2)
% 196.51/33.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.44    (3)  op(e2, e2) = e1
% 196.51/33.44    (4)  op(e0, e1) = all_52_11
% 196.51/33.44    (5)  op(e3, e3) = e3
% 196.51/33.44    (6)  op(e1, e1) = e0
% 196.51/33.44    (7)   ~ (e1 = e0)
% 196.51/33.44    (8)  op(e1, e0) = e1
% 196.51/33.44    (9)   ~ (all_52_11 = e0)
% 196.51/33.44    (10)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 196.51/33.44              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 196.51/33.44            all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.51/33.44          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 196.51/33.44              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 196.51/33.44            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 196.51/33.44          (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 =
% 196.51/33.44              e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.51/33.44            op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 =
% 196.51/33.44            e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.51/33.44            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 196.51/33.44            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.51/33.44            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 196.51/33.44                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.51/33.44                op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.51/33.44                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.51/33.44                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.51/33.44                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.51/33.44                  e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.51/33.44                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.51/33.44                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 196.51/33.44                  e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.51/33.44                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.51/33.44                  e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.51/33.44                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.51/33.44                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.51/33.44                  e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.51/33.44                $i(all_57_7))))
% 196.51/33.44    (11)   ~ (e3 = e1)
% 196.51/33.44    (12)   ~ (e2 = e0)
% 196.51/33.44    (13)   ~ (e3 = e0)
% 196.51/33.44  
% 196.51/33.44  Begin of proof
% 196.51/33.44  | 
% 196.51/33.44  | BETA: splitting (10) gives:
% 196.51/33.44  | 
% 196.51/33.44  | Case 1:
% 196.51/33.44  | | 
% 196.51/33.44  | |   (14)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.51/33.44  | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.51/33.44  | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.51/33.44  | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.51/33.44  | |             e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.51/33.44  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 196.51/33.44  | |           & $i(all_57_14))
% 196.51/33.44  | | 
% 196.51/33.44  | | REF_CLOSE: (2), (5), (13), (14) are inconsistent by sub-proof #1960.
% 196.51/33.44  | | 
% 196.51/33.44  | Case 2:
% 196.51/33.44  | | 
% 196.51/33.44  | |   (15)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.51/33.44  | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.51/33.44  | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.51/33.44  | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11
% 196.51/33.44  | |             = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 196.51/33.44  | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.51/33.44  | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.51/33.44  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.51/33.44  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.51/33.44  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.51/33.44  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.51/33.44  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.51/33.44  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.51/33.44  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.51/33.44  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.51/33.44  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.51/33.44  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.51/33.44  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.51/33.44  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.51/33.44  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.51/33.44  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.51/33.44  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.51/33.44  | |               $i(all_57_7))))
% 196.51/33.44  | | 
% 196.51/33.44  | | BETA: splitting (15) gives:
% 196.51/33.44  | | 
% 196.51/33.44  | | Case 1:
% 196.51/33.44  | | | 
% 196.51/33.44  | | |   (16)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.51/33.44  | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.51/33.44  | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.51/33.44  | | |         $i(all_57_13)
% 196.51/33.44  | | | 
% 196.51/33.44  | | | ALPHA: (16) implies:
% 196.51/33.44  | | |   (17)   ~ (all_57_13 = e1)
% 196.51/33.44  | | |   (18)  op(e1, e0) = all_57_13
% 196.51/33.44  | | | 
% 196.51/33.44  | | | REF_CLOSE: (2), (8), (17), (18) are inconsistent by sub-proof #1437.
% 196.51/33.44  | | | 
% 196.51/33.44  | | Case 2:
% 196.51/33.44  | | | 
% 196.51/33.44  | | |   (19)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.51/33.44  | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.51/33.44  | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.51/33.44  | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.51/33.44  | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.51/33.44  | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.51/33.44  | | |               op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.51/33.44  | | |               = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3)
% 196.51/33.44  | | |               = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.51/33.44  | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.51/33.44  | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.51/33.44  | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.51/33.44  | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.51/33.44  | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.51/33.44  | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.51/33.44  | | |               = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 196.51/33.44  | | |               = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.51/33.44  | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.51/33.44  | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.51/33.44  | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.51/33.44  | | | 
% 196.51/33.44  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (19)
% 196.51/33.44  | | |            are inconsistent by sub-proof #994.
% 196.51/33.44  | | | 
% 196.51/33.44  | | End of split
% 196.51/33.44  | | 
% 196.51/33.44  | End of split
% 196.51/33.44  | 
% 196.51/33.44  End of proof
% 196.51/33.44  
% 196.51/33.44  Sub-proof #993 shows that the following formulas are inconsistent:
% 196.51/33.44  ----------------------------------------------------------------
% 196.51/33.44    (1)  all_54_3 = all_52_12
% 196.51/33.44    (2)   ~ (all_52_11 = e1)
% 196.51/33.44    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.44    (4)  op(e1, e0) = all_52_14
% 196.51/33.44    (5)   ~ (all_52_12 = all_52_14)
% 196.51/33.44    (6)  all_54_3 = e1 | all_54_3 = e0
% 196.51/33.44    (7)  op(e0, e1) = all_52_11
% 196.51/33.44    (8)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.51/33.44           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.51/33.44           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.51/33.44                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.51/33.44               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.51/33.44               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 196.51/33.44           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 196.51/33.44             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.51/33.44               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.51/33.44           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.51/33.44               = all_57_7 & $i(all_57_7))))
% 196.51/33.44    (9)   ~ (all_52_12 = e1)
% 196.51/33.44  
% 196.51/33.44  Begin of proof
% 196.51/33.44  | 
% 196.51/33.44  | BETA: splitting (8) gives:
% 196.51/33.44  | 
% 196.51/33.44  | Case 1:
% 196.51/33.44  | | 
% 196.51/33.44  | |   (10)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.51/33.44  | |         op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.51/33.44  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 196.51/33.44  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 196.51/33.44  | |             e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.51/33.44  | |             all_57_11 & $i(all_57_11)))
% 196.51/33.44  | | 
% 196.51/33.44  | | ALPHA: (10) implies:
% 196.51/33.44  | |   (11)  op(e0, e1) = e1
% 196.51/33.44  | | 
% 196.51/33.44  | | REF_CLOSE: (2), (3), (7), (11) are inconsistent by sub-proof #1885.
% 196.51/33.44  | | 
% 196.51/33.44  | Case 2:
% 196.51/33.44  | | 
% 196.51/33.44  | |   (12)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.51/33.44  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.51/33.44  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 196.51/33.44  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 196.51/33.44  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.51/33.44  | |             all_57_7 & $i(all_57_7)))
% 196.51/33.44  | | 
% 196.51/33.44  | | ALPHA: (12) implies:
% 196.51/33.44  | |   (13)  op(e1, e0) = e0
% 196.51/33.44  | | 
% 196.51/33.44  | | REF_CLOSE: (1), (3), (4), (5), (6), (9), (13) are inconsistent by sub-proof
% 196.51/33.44  | |            #1687.
% 196.51/33.44  | | 
% 196.51/33.44  | End of split
% 196.51/33.44  | 
% 196.51/33.44  End of proof
% 196.51/33.44  
% 196.51/33.44  Sub-proof #994 shows that the following formulas are inconsistent:
% 196.51/33.44  ----------------------------------------------------------------
% 196.51/33.44    (1)   ~ (e3 = e2)
% 196.51/33.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.44    (3)  op(e2, e2) = e1
% 196.51/33.44    (4)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 196.51/33.44             e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 196.51/33.44           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0,
% 196.51/33.44             e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 & 
% 196.51/33.44               ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.51/33.44               op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.51/33.44               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.51/33.44               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.51/33.44               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.51/33.44                 e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.51/33.44               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.51/33.44               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 196.51/33.44                 e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.51/33.44               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.51/33.44                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.51/33.44               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.51/33.44               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.51/33.44                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.51/33.44               $i(all_57_7))))
% 196.51/33.44    (5)  op(e0, e1) = all_52_11
% 196.51/33.44    (6)  op(e3, e3) = e3
% 196.51/33.44    (7)  op(e1, e1) = e0
% 196.51/33.44    (8)   ~ (e1 = e0)
% 196.51/33.44    (9)   ~ (all_52_11 = e0)
% 196.51/33.44    (10)   ~ (e3 = e1)
% 196.51/33.44    (11)   ~ (e2 = e0)
% 196.51/33.44    (12)   ~ (e3 = e0)
% 196.51/33.44  
% 196.51/33.44  Begin of proof
% 196.51/33.44  | 
% 196.51/33.44  | BETA: splitting (4) gives:
% 196.51/33.44  | 
% 196.51/33.44  | Case 1:
% 196.51/33.44  | | 
% 196.51/33.44  | |   (13)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.51/33.44  | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1,
% 196.51/33.44  | |           e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 196.51/33.44  | | 
% 196.51/33.45  | | ALPHA: (13) implies:
% 196.51/33.45  | |   (14)  op(e2, e2) = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (2), (3), (8), (14) are inconsistent by sub-proof #1909.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (15)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 196.51/33.45  | |             = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.51/33.45  | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.51/33.45  | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.51/33.45  | |             (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.51/33.45  | |             op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.51/33.45  | |             e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.51/33.45  | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.51/33.45  | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.51/33.45  | |             (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.51/33.45  | |             op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 196.51/33.45  | |             e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.51/33.45  | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.51/33.45  | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.51/33.45  | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.51/33.45  | |             op(e0, e1) = e0 & $i(all_57_7)))
% 196.51/33.45  | | 
% 196.51/33.45  | | ALPHA: (15) implies:
% 196.51/33.45  | |   (16)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 196.51/33.45  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 196.51/33.45  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.51/33.45  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.51/33.45  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 196.51/33.45  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.51/33.45  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.51/33.45  | |           $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.51/33.45  | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.51/33.45  | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.51/33.45  | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.51/33.45  | |           & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.51/33.45  | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 196.51/33.45  | |             = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 196.51/33.45  | |           e0 & $i(all_57_7))
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (11), (12), (16) are
% 196.51/33.45  | |            inconsistent by sub-proof #1633.
% 196.51/33.45  | | 
% 196.51/33.45  | End of split
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #995 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 196.51/33.45             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.51/33.45           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 196.51/33.45           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.51/33.45           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 196.51/33.45           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.51/33.45           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 196.51/33.45           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.51/33.45           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.51/33.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.45    (3)  op(e3, e0) = e0
% 196.51/33.45    (4)   ~ (e2 = e1)
% 196.51/33.45    (5)  op(e0, e0) = e2
% 196.51/33.45    (6)   ~ (e3 = e0)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | BETA: splitting (1) gives:
% 196.51/33.45  | 
% 196.51/33.45  | Case 1:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (7)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 196.51/33.45  | |          e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.51/33.45  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 196.51/33.45  | | 
% 196.51/33.45  | | ALPHA: (7) implies:
% 196.51/33.45  | |   (8)  op(e0, e0) = e1
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1780.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (9)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 196.51/33.45  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 196.51/33.45  | |          e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 196.51/33.45  | |        (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 196.51/33.45  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 196.51/33.45  | |          e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (2), (3), (6), (9) are inconsistent by sub-proof #1383.
% 196.51/33.45  | | 
% 196.51/33.45  | End of split
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #996 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)  all_57_15 = e3
% 196.51/33.45    (2)  all_57_15 = e2
% 196.51/33.45    (3)   ~ (e3 = e2)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | COMBINE_EQS: (1), (2) imply:
% 196.51/33.45  |   (4)  e3 = e2
% 196.51/33.45  | 
% 196.51/33.45  | SIMP: (4) implies:
% 196.51/33.45  |   (5)  e3 = e2
% 196.51/33.45  | 
% 196.51/33.45  | REDUCE: (3), (5) imply:
% 196.51/33.45  |   (6)  $false
% 196.51/33.45  | 
% 196.51/33.45  | CLOSE: (6) is inconsistent.
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #997 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)  op(e1, e2) = all_52_6
% 196.51/33.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.45    (3)  op(e2, e0) = e2
% 196.51/33.45    (4)  op(e2, e0) = all_52_13
% 196.51/33.45    (5)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.51/33.45           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.51/33.45           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.51/33.45                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 196.51/33.45               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.51/33.45               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.51/33.45           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 196.51/33.45           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.51/33.45               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.45           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.51/33.45               = all_57_5 & $i(all_57_5))))
% 196.51/33.45    (6)  op(e2, e1) = all_52_9
% 196.51/33.45    (7)   ~ (all_52_9 = all_52_13)
% 196.51/33.45    (8)   ~ (all_52_6 = e1)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | BETA: splitting (5) gives:
% 196.51/33.45  | 
% 196.51/33.45  | Case 1:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (9)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.51/33.45  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.51/33.45  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.51/33.45  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 196.51/33.45  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 196.51/33.45  | |            & $i(all_57_8)))
% 196.51/33.45  | | 
% 196.51/33.45  | | ALPHA: (9) implies:
% 196.51/33.45  | |   (10)  op(e2, e1) = e2
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (2), (3), (4), (6), (7), (10) are inconsistent by sub-proof
% 196.51/33.45  | |            #1887.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (11)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 196.51/33.45  | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.51/33.45  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 196.51/33.45  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 196.51/33.45  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.51/33.45  | |             all_57_5 & $i(all_57_5)))
% 196.51/33.45  | | 
% 196.51/33.45  | | ALPHA: (11) implies:
% 196.51/33.45  | |   (12)  op(e1, e2) = e1
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (1), (2), (8), (12) are inconsistent by sub-proof #1970.
% 196.51/33.45  | | 
% 196.51/33.45  | End of split
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #998 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)   ~ (all_52_2 = e0)
% 196.51/33.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.45    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.45         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.45    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.45         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.45    (5)  op(e0, e3) = e0
% 196.51/33.45    (6)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) = all_18_1
% 196.51/33.45           & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0, e3) =
% 196.51/33.45           all_18_1 & $i(all_18_1))
% 196.51/33.45    (7)  all_54_8 = all_52_2
% 196.51/33.45    (8)  all_56_4 = e1
% 196.51/33.45    (9)   ~ (all_52_2 = e3)
% 196.51/33.45    (10)  op(e1, e1) = e0
% 196.51/33.45    (11)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.51/33.45    (12)  op(e0, e3) = all_48_1
% 196.51/33.45    (13)   ~ (e1 = e0)
% 196.51/33.45    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.45          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.45    (15)   ~ (all_52_2 = e1)
% 196.51/33.45    (16)  op(e0, e3) = e1
% 196.51/33.45    (17)   ~ (e3 = e1)
% 196.51/33.45    (18)   ~ (e3 = e0)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | BETA: splitting (11) gives:
% 196.51/33.45  | 
% 196.51/33.45  | Case 1:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (19)  all_54_8 = e3
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (7), (9), (19) are inconsistent by sub-proof #1162.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (20)   ~ (all_54_8 = e3)
% 196.51/33.45  | |   (21)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | BETA: splitting (6) gives:
% 196.51/33.45  | | 
% 196.51/33.45  | | Case 1:
% 196.51/33.45  | | | 
% 196.51/33.45  | | |   (22)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 196.51/33.45  | | |         all_18_1 & $i(all_18_0) & $i(all_18_1)
% 196.51/33.45  | | | 
% 196.51/33.45  | | | ALPHA: (22) implies:
% 196.51/33.45  | | |   (23)  op(e0, e3) = all_18_1
% 196.51/33.45  | | | 
% 196.51/33.45  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (12), (13), (14),
% 196.51/33.45  | | |            (15), (16), (17), (18), (21), (23) are inconsistent by
% 196.51/33.45  | | |            sub-proof #999.
% 196.51/33.45  | | | 
% 196.51/33.45  | | Case 2:
% 196.51/33.45  | | | 
% 196.51/33.45  | | |   (24)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 & $i(all_18_1)
% 196.51/33.45  | | | 
% 196.51/33.45  | | | ALPHA: (24) implies:
% 196.51/33.45  | | |   (25)  op(e0, e3) = all_18_1
% 196.51/33.45  | | | 
% 196.51/33.45  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (12), (13), (14),
% 196.51/33.45  | | |            (15), (16), (17), (18), (21), (25) are inconsistent by
% 196.51/33.45  | | |            sub-proof #999.
% 196.51/33.45  | | | 
% 196.51/33.45  | | End of split
% 196.51/33.45  | | 
% 196.51/33.45  | End of split
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #999 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)   ~ (all_52_2 = e0)
% 196.51/33.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.45    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.45         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.45    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.45         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.45    (5)  op(e0, e3) = e0
% 196.51/33.45    (6)  all_54_8 = all_52_2
% 196.51/33.45    (7)  all_56_4 = e1
% 196.51/33.45    (8)   ~ (all_52_2 = e3)
% 196.51/33.45    (9)  op(e1, e1) = e0
% 196.51/33.45    (10)  op(e0, e3) = all_18_1
% 196.51/33.45    (11)  op(e0, e3) = all_48_1
% 196.51/33.45    (12)   ~ (e1 = e0)
% 196.51/33.45    (13)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.45          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.45    (14)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.51/33.45    (15)   ~ (all_52_2 = e1)
% 196.51/33.45    (16)  op(e0, e3) = e1
% 196.51/33.45    (17)   ~ (e3 = e1)
% 196.51/33.45    (18)   ~ (e3 = e0)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | BETA: splitting (14) gives:
% 196.51/33.45  | 
% 196.51/33.45  | Case 1:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (19)  all_54_8 = e2
% 196.51/33.45  | | 
% 196.51/33.45  | | COMBINE_EQS: (6), (19) imply:
% 196.51/33.45  | |   (20)  all_52_2 = e2
% 196.51/33.45  | | 
% 196.51/33.45  | | SIMP: (20) implies:
% 196.51/33.45  | |   (21)  all_52_2 = e2
% 196.51/33.45  | | 
% 196.51/33.45  | | REDUCE: (8), (21) imply:
% 196.51/33.45  | |   (22)   ~ (e3 = e2)
% 196.51/33.45  | | 
% 196.51/33.45  | | SIMP: (22) implies:
% 196.51/33.45  | |   (23)   ~ (e3 = e2)
% 196.51/33.45  | | 
% 196.51/33.45  | | REDUCE: (15), (21) imply:
% 196.51/33.45  | |   (24)   ~ (e2 = e1)
% 196.51/33.45  | | 
% 196.51/33.45  | | REDUCE: (1), (21) imply:
% 196.51/33.45  | |   (25)   ~ (e2 = e0)
% 196.51/33.45  | | 
% 196.51/33.45  | | GROUND_INST: instantiating (2) with e1, all_18_1, e3, e0, simplifying with
% 196.51/33.45  | |              (10), (16) gives:
% 196.51/33.45  | |   (26)  all_18_1 = e1
% 196.51/33.45  | | 
% 196.51/33.45  | | GROUND_INST: instantiating (2) with all_18_1, all_48_1, e3, e0, simplifying
% 196.51/33.45  | |              with (10), (11) gives:
% 196.51/33.45  | |   (27)  all_48_1 = all_18_1
% 196.51/33.45  | | 
% 196.51/33.45  | | GROUND_INST: instantiating (2) with e0, all_48_1, e3, e0, simplifying with
% 196.51/33.45  | |              (5), (11) gives:
% 196.51/33.45  | |   (28)  all_48_1 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | COMBINE_EQS: (27), (28) imply:
% 196.51/33.45  | |   (29)  all_18_1 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | SIMP: (29) implies:
% 196.51/33.45  | |   (30)  all_18_1 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | COMBINE_EQS: (26), (30) imply:
% 196.51/33.45  | |   (31)  e1 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | SIMP: (31) implies:
% 196.51/33.45  | |   (32)  e1 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | COMBINE_EQS: (7), (32) imply:
% 196.51/33.45  | |   (33)  all_56_4 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (2), (3), (4), (9), (12), (13), (17), (18), (23), (24), (25),
% 196.51/33.45  | |            (33) are inconsistent by sub-proof #1809.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (34)  all_54_8 = e1 | all_54_8 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (1), (6), (15), (34) are inconsistent by sub-proof #1365.
% 196.51/33.45  | | 
% 196.51/33.45  | End of split
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #1000 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.45    (2)  op(e3, e3) = e3
% 196.51/33.45    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 196.51/33.45    (4)   ~ (e2 = e0)
% 196.51/33.45    (5)   ~ (e3 = e0)
% 196.51/33.45    (6)  all_56_1 = e2
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | BETA: splitting (3) gives:
% 196.51/33.45  | 
% 196.51/33.45  | Case 1:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | ALPHA: (7) implies:
% 196.51/33.45  | |   (8)  op(e3, e3) = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1961.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (4), (6), (9) are inconsistent by sub-proof #1789.
% 196.51/33.45  | | 
% 196.51/33.45  | End of split
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #1001 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)  all_56_13 = e2 & op(e0, e2) = e2
% 196.51/33.45    (2)  all_56_13 = e0
% 196.51/33.45    (3)   ~ (e2 = e0)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | ALPHA: (1) implies:
% 196.51/33.45  |   (4)  all_56_13 = e2
% 196.51/33.45  | 
% 196.51/33.45  | COMBINE_EQS: (2), (4) imply:
% 196.51/33.45  |   (5)  e2 = e0
% 196.51/33.45  | 
% 196.51/33.45  | REDUCE: (3), (5) imply:
% 196.51/33.45  |   (6)  $false
% 196.51/33.45  | 
% 196.51/33.45  | CLOSE: (6) is inconsistent.
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #1002 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)  all_54_2 = all_52_8
% 196.51/33.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.45    (3)  op(e3, e2) = all_52_4
% 196.51/33.45    (4)   ~ (all_52_4 = all_52_8)
% 196.51/33.45    (5)  op(e3, e3) = e3
% 196.51/33.45    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 196.51/33.45    (7)  all_54_2 = e1 | all_54_2 = e0
% 196.51/33.45    (8)   ~ (e3 = e1)
% 196.51/33.45    (9)   ~ (all_52_8 = e0)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | BETA: splitting (6) gives:
% 196.51/33.45  | 
% 196.51/33.45  | Case 1:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (10)  all_56_0 = e1 & op(e3, e3) = e1
% 196.51/33.45  | | 
% 196.51/33.45  | | ALPHA: (10) implies:
% 196.51/33.45  | |   (11)  op(e3, e3) = e1
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (2), (5), (8), (11) are inconsistent by sub-proof #1966.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (12)  all_56_1 = e1 & op(e3, e2) = e1
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (1), (2), (3), (4), (7), (9), (12) are inconsistent by sub-proof
% 196.51/33.45  | |            #1388.
% 196.51/33.45  | | 
% 196.51/33.45  | End of split
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #1003 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)  all_56_10 = e2 & op(e2, e0) = e2
% 196.51/33.45    (2)  all_56_10 = e0
% 196.51/33.45    (3)   ~ (e2 = e0)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | ALPHA: (1) implies:
% 196.51/33.45  |   (4)  all_56_10 = e2
% 196.51/33.45  | 
% 196.51/33.45  | COMBINE_EQS: (2), (4) imply:
% 196.51/33.45  |   (5)  e2 = e0
% 196.51/33.45  | 
% 196.51/33.45  | REDUCE: (3), (5) imply:
% 196.51/33.45  |   (6)  $false
% 196.51/33.45  | 
% 196.51/33.45  | CLOSE: (6) is inconsistent.
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #1004 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)  all_56_15 = e2 & op(e0, e0) = e2
% 196.51/33.45    (2)  all_56_15 = e3
% 196.51/33.45    (3)   ~ (e3 = e2)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | ALPHA: (1) implies:
% 196.51/33.45  |   (4)  all_56_15 = e2
% 196.51/33.45  | 
% 196.51/33.45  | COMBINE_EQS: (2), (4) imply:
% 196.51/33.45  |   (5)  e3 = e2
% 196.51/33.45  | 
% 196.51/33.45  | SIMP: (5) implies:
% 196.51/33.45  |   (6)  e3 = e2
% 196.51/33.45  | 
% 196.51/33.45  | REDUCE: (3), (6) imply:
% 196.51/33.45  |   (7)  $false
% 196.51/33.45  | 
% 196.51/33.45  | CLOSE: (7) is inconsistent.
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #1005 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.51/33.45    (2)   ~ (e3 = e2)
% 196.51/33.45    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.45    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.45         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.45    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.45         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.45    (6)  all_56_13 = e2
% 196.51/33.45    (7)  op(e0, e1) = all_52_11
% 196.51/33.45    (8)  op(e1, e1) = e0
% 196.51/33.45    (9)   ~ (e1 = e0)
% 196.51/33.45    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.45          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.45    (11)   ~ (e2 = e1)
% 196.51/33.45    (12)   ~ (all_52_11 = e0)
% 196.51/33.45    (13)  all_56_5 = e2
% 196.51/33.45    (14)   ~ (e3 = e1)
% 196.51/33.45    (15)   ~ (e2 = e0)
% 196.51/33.45    (16)   ~ (e3 = e0)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | BETA: splitting (1) gives:
% 196.51/33.45  | 
% 196.51/33.45  | Case 1:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (17)  all_56_13 = e0 & op(e0, e2) = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | ALPHA: (17) implies:
% 196.51/33.45  | |   (18)  all_56_13 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (13), (14), (15),
% 196.51/33.45  | |            (16), (18) are inconsistent by sub-proof #1355.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (19)  all_56_14 = e0 & op(e0, e1) = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | ALPHA: (19) implies:
% 196.51/33.45  | |   (20)  op(e0, e1) = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (3), (7), (12), (20) are inconsistent by sub-proof #1931.
% 196.51/33.45  | | 
% 196.51/33.45  | End of split
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #1006 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)   ~ (e3 = e2)
% 196.51/33.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.45    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.45         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.45    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.45         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.45    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 196.51/33.45         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.51/33.45    (6)  all_56_4 = e1
% 196.51/33.45    (7)   ~ (all_52_7 = e1)
% 196.51/33.45    (8)  all_56_14 = e3
% 196.51/33.45    (9)  op(e1, e1) = e0
% 196.51/33.45    (10)   ~ (e1 = e0)
% 196.51/33.45    (11)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.45          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.45    (12)   ~ (e2 = e1)
% 196.51/33.45    (13)  all_56_12 = e0
% 196.51/33.45    (14)  op(e0, e0) = e3
% 196.51/33.45    (15)   ~ (e3 = e1)
% 196.51/33.45    (16)  op(e0, e2) = all_52_7
% 196.51/33.45    (17)   ~ (e2 = e0)
% 196.51/33.45    (18)   ~ (e3 = e0)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | BETA: splitting (5) gives:
% 196.51/33.45  | 
% 196.51/33.45  | Case 1:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (19)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 196.51/33.45  | |           e1)
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (13), (15),
% 196.51/33.45  | |            (16), (17), (18), (19) are inconsistent by sub-proof #1007.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (20)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.51/33.45  | |           e1)
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (2), (8), (14), (15), (20) are inconsistent by sub-proof #1040.
% 196.51/33.45  | | 
% 196.51/33.45  | End of split
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #1007 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)   ~ (e3 = e2)
% 196.51/33.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.45    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.45         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.45    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.45         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.45    (5)  all_56_4 = e1
% 196.51/33.45    (6)   ~ (all_52_7 = e1)
% 196.51/33.45    (7)  op(e1, e1) = e0
% 196.51/33.45    (8)   ~ (e1 = e0)
% 196.51/33.45    (9)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.45         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.45    (10)   ~ (e2 = e1)
% 196.51/33.45    (11)  all_56_12 = e0
% 196.51/33.45    (12)   ~ (e3 = e1)
% 196.51/33.45    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.51/33.45    (14)  op(e0, e2) = all_52_7
% 196.51/33.45    (15)   ~ (e2 = e0)
% 196.51/33.45    (16)   ~ (e3 = e0)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | BETA: splitting (13) gives:
% 196.51/33.45  | 
% 196.51/33.45  | Case 1:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (17)  all_56_12 = e1 & op(e0, e3) = e1
% 196.51/33.45  | | 
% 196.51/33.45  | | ALPHA: (17) implies:
% 196.51/33.45  | |   (18)  all_56_12 = e1
% 196.51/33.45  | | 
% 196.51/33.45  | | COMBINE_EQS: (11), (18) imply:
% 196.51/33.45  | |   (19)  e1 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | COMBINE_EQS: (5), (19) imply:
% 196.51/33.45  | |   (20)  all_56_4 = e0
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (12), (15), (16), (20)
% 196.51/33.45  | |            are inconsistent by sub-proof #1809.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (21)  all_56_13 = e1 & op(e0, e2) = e1
% 196.51/33.45  | | 
% 196.51/33.45  | | ALPHA: (21) implies:
% 196.51/33.45  | |   (22)  op(e0, e2) = e1
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (2), (6), (14), (22) are inconsistent by sub-proof #1649.
% 196.51/33.45  | | 
% 196.51/33.45  | End of split
% 196.51/33.45  | 
% 196.51/33.45  End of proof
% 196.51/33.45  
% 196.51/33.45  Sub-proof #1008 shows that the following formulas are inconsistent:
% 196.51/33.45  ----------------------------------------------------------------
% 196.51/33.45    (1)   ~ (e3 = e2)
% 196.51/33.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.45    (3)  op(e2, e2) = e1
% 196.51/33.45    (4)  all_56_5 = e3
% 196.51/33.45    (5)  all_56_2 = e3
% 196.51/33.45    (6)  all_56_10 = e0
% 196.51/33.45    (7)   ~ (e2 = e1)
% 196.51/33.45    (8)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.51/33.45         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.51/33.45    (9)   ~ (e2 = e0)
% 196.51/33.45  
% 196.51/33.45  Begin of proof
% 196.51/33.45  | 
% 196.51/33.45  | BETA: splitting (8) gives:
% 196.51/33.45  | 
% 196.51/33.45  | Case 1:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 196.51/33.45  | |           e2)
% 196.51/33.45  | | 
% 196.51/33.45  | | REF_CLOSE: (1), (2), (3), (5), (7), (10) are inconsistent by sub-proof
% 196.51/33.45  | |            #1345.
% 196.51/33.45  | | 
% 196.51/33.45  | Case 2:
% 196.51/33.45  | | 
% 196.51/33.45  | |   (11)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 196.51/33.45  | |           e2)
% 196.51/33.45  | | 
% 196.51/33.45  | | BETA: splitting (11) gives:
% 196.51/33.45  | | 
% 196.51/33.45  | | Case 1:
% 196.51/33.45  | | | 
% 196.51/33.45  | | |   (12)  all_56_5 = e2 & op(e2, e1) = e2
% 196.51/33.45  | | | 
% 196.51/33.45  | | | REF_CLOSE: (1), (4), (12) are inconsistent by sub-proof #1816.
% 196.51/33.45  | | | 
% 196.51/33.45  | | Case 2:
% 196.51/33.45  | | | 
% 196.51/33.45  | | |   (13)  all_56_10 = e2 & op(e2, e0) = e2
% 196.51/33.45  | | | 
% 196.51/33.45  | | | ALPHA: (13) implies:
% 196.51/33.46  | | |   (14)  all_56_10 = e2
% 196.51/33.46  | | | 
% 196.51/33.46  | | | REF_CLOSE: (6), (9), (14) are inconsistent by sub-proof #1342.
% 196.51/33.46  | | | 
% 196.51/33.46  | | End of split
% 196.51/33.46  | | 
% 196.51/33.46  | End of split
% 196.51/33.46  | 
% 196.51/33.46  End of proof
% 196.51/33.46  
% 196.51/33.46  Sub-proof #1009 shows that the following formulas are inconsistent:
% 196.51/33.46  ----------------------------------------------------------------
% 196.51/33.46    (1)  op(e1, e3) = all_52_2
% 196.51/33.46    (2)   ~ (e3 = e2)
% 196.51/33.46    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.46    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.51/33.46         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.51/33.46    (5)  all_56_6 = e0
% 196.51/33.46    (6)  all_56_7 = e3
% 196.51/33.46    (7)  op(e1, e1) = e0
% 196.51/33.46    (8)   ~ (e1 = e0)
% 196.51/33.46    (9)   ~ (e2 = e1)
% 196.51/33.46    (10)   ~ (all_52_2 = e1)
% 196.51/33.46    (11)   ~ (e3 = e1)
% 196.51/33.46    (12)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.51/33.46          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.51/33.46    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.51/33.46          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.51/33.46    (14)   ~ (e2 = e0)
% 196.51/33.46    (15)   ~ (e3 = e0)
% 196.51/33.46  
% 196.51/33.46  Begin of proof
% 196.51/33.46  | 
% 196.51/33.46  | BETA: splitting (4) gives:
% 196.51/33.46  | 
% 196.51/33.46  | Case 1:
% 196.51/33.46  | | 
% 196.51/33.46  | |   (16)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 196.51/33.46  | |           e1)
% 196.51/33.46  | | 
% 196.51/33.46  | | BETA: splitting (16) gives:
% 196.51/33.46  | | 
% 196.51/33.46  | | Case 1:
% 196.51/33.46  | | | 
% 196.51/33.46  | | |   (17)  all_56_6 = e1 & op(e1, e3) = e1
% 196.51/33.46  | | | 
% 196.51/33.46  | | | ALPHA: (17) implies:
% 196.51/33.46  | | |   (18)  op(e1, e3) = e1
% 196.51/33.46  | | | 
% 196.51/33.46  | | | REF_CLOSE: (1), (3), (10), (18) are inconsistent by sub-proof #1974.
% 196.51/33.46  | | | 
% 196.51/33.46  | | Case 2:
% 196.51/33.46  | | | 
% 196.51/33.46  | | |   (19)  all_56_7 = e1 & op(e1, e2) = e1
% 196.51/33.46  | | | 
% 196.51/33.46  | | | ALPHA: (19) implies:
% 196.51/33.46  | | |   (20)  all_56_7 = e1
% 196.51/33.46  | | | 
% 196.51/33.46  | | | REF_CLOSE: (2), (3), (5), (7), (9), (11), (12), (13), (14), (15), (20) are
% 196.51/33.46  | | |            inconsistent by sub-proof #1579.
% 196.51/33.46  | | | 
% 196.51/33.46  | | End of split
% 196.51/33.46  | | 
% 196.51/33.46  | Case 2:
% 196.51/33.46  | | 
% 196.51/33.46  | |   (21)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 196.51/33.46  | |           e1)
% 196.51/33.46  | | 
% 196.51/33.46  | | BETA: splitting (21) gives:
% 196.51/33.46  | | 
% 196.51/33.46  | | Case 1:
% 196.51/33.46  | | | 
% 196.51/33.46  | | |   (22)  all_56_8 = e1 & op(e1, e1) = e1
% 196.51/33.46  | | | 
% 196.51/33.46  | | | ALPHA: (22) implies:
% 196.51/33.46  | | |   (23)  op(e1, e1) = e1
% 196.51/33.46  | | | 
% 196.51/33.46  | | | REF_CLOSE: (3), (7), (8), (23) are inconsistent by sub-proof #1959.
% 196.51/33.46  | | | 
% 196.51/33.46  | | Case 2:
% 196.51/33.46  | | | 
% 196.51/33.46  | | |   (24)  all_56_11 = e1 & op(e1, e0) = e1
% 196.51/33.46  | | | 
% 196.51/33.46  | | | ALPHA: (24) implies:
% 196.51/33.46  | | |   (25)  all_56_11 = e1
% 196.51/33.46  | | | 
% 196.51/33.46  | | | BETA: splitting (12) gives:
% 196.51/33.46  | | | 
% 196.51/33.46  | | | Case 1:
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | |   (26)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2)
% 196.51/33.46  | | | |           = e2)
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | | REF_CLOSE: (2), (5), (6), (14), (26) are inconsistent by sub-proof
% 196.51/33.46  | | | |            #1577.
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | Case 2:
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | |   (27)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0)
% 196.51/33.46  | | | |           = e2)
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | | REF_CLOSE: (3), (7), (9), (14), (25), (27) are inconsistent by sub-proof
% 196.51/33.46  | | | |            #1614.
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | End of split
% 196.51/33.46  | | | 
% 196.51/33.46  | | End of split
% 196.51/33.46  | | 
% 196.51/33.46  | End of split
% 196.51/33.46  | 
% 196.51/33.46  End of proof
% 196.51/33.46  
% 196.51/33.46  Sub-proof #1010 shows that the following formulas are inconsistent:
% 196.51/33.46  ----------------------------------------------------------------
% 196.51/33.46    (1)   ~ (all_52_1 = all_4_2)
% 196.51/33.46    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.51/33.46         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.51/33.46    (3)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.51/33.46    (4)  op(e1, e3) = all_52_2
% 196.51/33.46    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.51/33.46           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.51/33.46           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.51/33.46                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.51/33.46               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.51/33.46               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.51/33.46           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.51/33.46           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.51/33.46               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.51/33.46           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.51/33.46               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.51/33.46           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.51/33.46           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.51/33.46               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.46               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.51/33.46               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.46         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.51/33.46           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.51/33.46           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.51/33.46               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.51/33.46             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.46         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.51/33.46           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.51/33.46           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.51/33.46                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.51/33.46               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.51/33.46               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.51/33.46           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.51/33.46           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.51/33.46             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.46           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.51/33.46               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.51/33.46           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.51/33.46           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.51/33.46               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.51/33.46               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.51/33.46               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.46         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.51/33.46           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.51/33.46           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.51/33.46               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.51/33.46             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.46         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.51/33.46           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.51/33.46           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.51/33.46                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.51/33.46               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.51/33.46               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.51/33.46           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.51/33.46             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.51/33.46               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.46           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.51/33.46               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.51/33.46           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.51/33.46           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.51/33.46               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.46               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.46               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.51/33.46         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.51/33.46           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.51/33.46           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.51/33.46               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.51/33.46             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.51/33.46         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.51/33.46             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.46           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.51/33.46               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.51/33.46             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.46         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.51/33.46             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.46           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.51/33.46               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.51/33.46             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.46         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.51/33.46             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.51/33.46           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.51/33.46               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.51/33.46             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.46         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.51/33.46             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.51/33.46           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.51/33.46               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.51/33.46             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.51/33.46    (6)   ~ (all_52_13 = e3)
% 196.51/33.46    (7)  op(e1, e2) = all_52_6
% 196.51/33.46    (8)   ~ (all_52_14 = e0)
% 196.51/33.46    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.51/33.46         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.51/33.46    (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.51/33.46          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.51/33.46    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.51/33.46          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.51/33.46    (12)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.51/33.46          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.51/33.46    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.51/33.46          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.51/33.46    (14)   ~ (all_52_2 = e0)
% 196.51/33.46    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.51/33.46          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.51/33.46    (16)   ~ (e3 = e2)
% 196.51/33.46    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.46    (18)  op(e2, e2) = all_4_2
% 196.51/33.46    (19)   ~ (all_52_9 = e0)
% 196.51/33.46    (20)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 196.51/33.46          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.51/33.46    (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.46          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.46    (22)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.46          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.46    (23)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.51/33.46          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.51/33.46    (24)   ~ (all_52_14 = e3)
% 196.51/33.46    (25)  op(e2, e0) = all_52_13
% 196.51/33.46    (26)  op(e1, e0) = all_52_14
% 196.51/33.46    (27)  all_56_15 = e3
% 196.51/33.46    (28)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.51/33.46          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.51/33.46    (29)   ~ (all_52_2 = all_52_14)
% 196.51/33.46    (30)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.51/33.46              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.51/33.46            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.51/33.46            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.51/33.46            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.51/33.46            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.51/33.46            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.51/33.46            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.51/33.46            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.51/33.46            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.51/33.46            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.51/33.46            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.51/33.46            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.51/33.46            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.51/33.46            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.51/33.46            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.51/33.46            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.51/33.46            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.51/33.46            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.51/33.46            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.51/33.46            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.51/33.46            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.51/33.46            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.51/33.46            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.51/33.46            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.51/33.46            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.51/33.46            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.51/33.46            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.51/33.46            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.46            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.51/33.46            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.51/33.46            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.51/33.46            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.51/33.46            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.51/33.46            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.51/33.46            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.51/33.46            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.46            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.51/33.46            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.51/33.46            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.51/33.46            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.51/33.46            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.51/33.46            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.51/33.46            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.51/33.46            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.51/33.46            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.51/33.46            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.51/33.46            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.51/33.46              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.51/33.46            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.51/33.46            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.51/33.46              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.51/33.46            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.51/33.46            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.51/33.46                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.51/33.46                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.51/33.46                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.51/33.46                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.51/33.46                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.51/33.46                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.51/33.46                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.51/33.46              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.51/33.46                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.51/33.46                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.51/33.46                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.51/33.46                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.51/33.46                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.51/33.46                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.51/33.46                $i(all_57_7))))
% 196.51/33.46    (31)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.51/33.46          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.51/33.46    (32)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.51/33.46          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.51/33.46    (33)  op(e0, e1) = all_52_11
% 196.51/33.46    (34)  op(e3, e3) = e3
% 196.51/33.46    (35)   ~ (all_52_12 = e3)
% 196.51/33.46    (36)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.51/33.46            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.51/33.46              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.51/33.46    (37)   ~ (all_4_2 = e1)
% 196.51/33.46    (38)  op(e1, e1) = e0
% 196.51/33.46    (39)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.51/33.46          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.51/33.46    (40)   ~ (all_4_2 = e3)
% 196.51/33.46    (41)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.51/33.46          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.51/33.46    (42)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.51/33.46          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.51/33.46    (43)   ~ (e1 = e0)
% 196.51/33.46    (44)  all_54_5 = all_4_2
% 196.51/33.46    (45)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.51/33.46          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.51/33.46    (46)   ~ (all_52_2 = all_52_6)
% 196.51/33.46    (47)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.51/33.46              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.51/33.46                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.51/33.46                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.51/33.46    (48)   ~ (e2 = e1)
% 196.51/33.46    (49)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.51/33.46          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.51/33.46    (50)   ~ (all_52_11 = e0)
% 196.51/33.46    (51)   ~ (all_52_13 = all_4_2)
% 196.51/33.46    (52)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.51/33.46          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.51/33.46    (53)  op(e3, e0) = all_52_12
% 196.51/33.46    (54)  all_36_2 = all_4_2
% 196.51/33.46    (55)   ~ (all_52_9 = all_4_2)
% 196.51/33.46    (56)  op(e2, e1) = all_52_9
% 196.51/33.46    (57)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.51/33.46            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.51/33.46              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.51/33.46    (58)  op(e0, e0) = e3
% 196.51/33.46    (59)   ~ (all_52_9 = all_52_13)
% 196.51/33.46    (60)   ~ (e3 = e1)
% 196.51/33.46    (61)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.51/33.46          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.51/33.46    (62)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.51/33.46          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.51/33.46    (63)   ~ (e2 = e0)
% 196.51/33.46    (64)  op(e2, e3) = all_52_1
% 196.51/33.46    (65)   ~ (e3 = e0)
% 196.51/33.46    (66)  all_32_2 = all_4_2
% 196.51/33.46  
% 196.51/33.46  Begin of proof
% 196.51/33.46  | 
% 196.51/33.46  | BETA: splitting (62) gives:
% 196.51/33.46  | 
% 196.51/33.46  | Case 1:
% 196.51/33.46  | | 
% 196.51/33.46  | |   (67)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 196.51/33.46  | |           e3)
% 196.51/33.46  | | 
% 196.51/33.46  | | BETA: splitting (67) gives:
% 196.51/33.46  | | 
% 196.51/33.46  | | Case 1:
% 196.51/33.46  | | | 
% 196.51/33.46  | | |   (68)  all_56_6 = e3 & op(e1, e3) = e3
% 196.51/33.46  | | | 
% 196.51/33.46  | | | ALPHA: (68) implies:
% 196.51/33.46  | | |   (69)  all_56_6 = e3
% 196.51/33.46  | | | 
% 196.51/33.46  | | | BETA: splitting (39) gives:
% 196.51/33.46  | | | 
% 196.51/33.46  | | | Case 1:
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | |   (70)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2)
% 196.51/33.46  | | | |           = e3)
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | | BETA: splitting (70) gives:
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | | Case 1:
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | |   (71)  all_56_2 = e3 & op(e2, e3) = e3
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | | ALPHA: (71) implies:
% 196.51/33.46  | | | | |   (72)  all_56_2 = e3
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | | REF_CLOSE: (9), (13), (15), (16), (17), (34), (43), (48), (60), (63),
% 196.51/33.46  | | | | |            (65), (69), (72) are inconsistent by sub-proof #1034.
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | Case 2:
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | |   (73)  all_56_3 = e3 & op(e2, e2) = e3
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | | ALPHA: (73) implies:
% 196.51/33.46  | | | | |   (74)  op(e2, e2) = e3
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | | REF_CLOSE: (17), (18), (40), (74) are inconsistent by sub-proof #1975.
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | End of split
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | Case 2:
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | |   (75)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0)
% 196.51/33.46  | | | |           = e3)
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | | BETA: splitting (75) gives:
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | | Case 1:
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | |   (76)  all_56_5 = e3 & op(e2, e1) = e3
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | | ALPHA: (76) implies:
% 196.51/33.46  | | | | |   (77)  all_56_5 = e3
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | | BETA: splitting (28) gives:
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | | Case 1:
% 196.51/33.46  | | | | | | 
% 196.51/33.46  | | | | | |   (78)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2,
% 196.51/33.46  | | | | | |             e2) = e3)
% 196.51/33.46  | | | | | | 
% 196.51/33.46  | | | | | | BETA: splitting (78) gives:
% 196.51/33.46  | | | | | | 
% 196.51/33.46  | | | | | | Case 1:
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | |   (79)  all_56_1 = e3 & op(e3, e2) = e3
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | | ALPHA: (79) implies:
% 196.51/33.46  | | | | | | |   (80)  all_56_1 = e3
% 196.51/33.46  | | | | | | |   (81)  op(e3, e2) = e3
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | | BETA: splitting (41) gives:
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | | Case 1:
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | |   (82)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 &
% 196.51/33.46  | | | | | | | |           op(e3, e2) = e0)
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | | REF_CLOSE: (16), (17), (21), (22), (34), (38), (43), (45), (48),
% 196.51/33.46  | | | | | | | |            (60), (63), (65), (77), (80), (82) are inconsistent
% 196.51/33.46  | | | | | | | |            by sub-proof #1032.
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | Case 2:
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | |   (83)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 &
% 196.51/33.46  | | | | | | | |           op(e3, e0) = e0)
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | | BETA: splitting (83) gives:
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | | Case 1:
% 196.51/33.46  | | | | | | | | | 
% 196.51/33.46  | | | | | | | | |   (84)  all_56_4 = e0 & op(e3, e1) = e0
% 196.51/33.46  | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | ALPHA: (84) implies:
% 196.51/33.46  | | | | | | | | |   (85)  all_56_4 = e0
% 196.51/33.46  | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | REF_CLOSE: (16), (17), (21), (22), (38), (43), (45), (48),
% 196.51/33.46  | | | | | | | | |            (60), (63), (65), (85) are inconsistent by
% 196.51/33.46  | | | | | | | | |            sub-proof #1809.
% 196.51/33.46  | | | | | | | | | 
% 196.51/33.46  | | | | | | | | Case 2:
% 196.51/33.46  | | | | | | | | | 
% 196.51/33.46  | | | | | | | | |   (86)  all_56_9 = e0 & op(e3, e0) = e0
% 196.51/33.46  | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | ALPHA: (86) implies:
% 196.51/33.46  | | | | | | | | |   (87)  all_56_9 = e0
% 196.51/33.46  | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | BETA: splitting (11) gives:
% 196.51/33.46  | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | Case 1:
% 196.51/33.46  | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | |   (88)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 &
% 196.51/33.46  | | | | | | | | | |           op(e3, e2) = e1)
% 196.51/33.46  | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | REF_CLOSE: (17), (34), (60), (80), (88) are inconsistent by
% 196.51/33.46  | | | | | | | | | |            sub-proof #1881.
% 196.51/33.46  | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | Case 2:
% 196.51/33.46  | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | |   (89)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 &
% 196.51/33.46  | | | | | | | | | |           op(e3, e0) = e1)
% 196.51/33.46  | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | BETA: splitting (89) gives:
% 196.51/33.46  | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | Case 1:
% 196.51/33.46  | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | |   (90)  all_56_4 = e1 & op(e3, e1) = e1
% 196.51/33.46  | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | ALPHA: (90) implies:
% 196.51/33.46  | | | | | | | | | | |   (91)  all_56_4 = e1
% 196.51/33.46  | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | BETA: splitting (31) gives:
% 196.51/33.46  | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | Case 1:
% 196.51/33.46  | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | |   (92)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 196.51/33.46  | | | | | | | | | | | |           & op(e3, e2) = e2)
% 196.51/33.46  | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | | REF_CLOSE: (16), (17), (34), (81), (92) are inconsistent by
% 196.51/33.46  | | | | | | | | | | | |            sub-proof #1879.
% 196.51/33.46  | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | Case 2:
% 196.51/33.46  | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | |   (93)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 196.51/33.46  | | | | | | | | | | | |           & op(e3, e0) = e2)
% 196.51/33.46  | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | | BETA: splitting (93) gives:
% 196.51/33.46  | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | | Case 1:
% 196.51/33.46  | | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | | |   (94)  all_56_4 = e2 & op(e3, e1) = e2
% 196.51/33.46  | | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | | | ALPHA: (94) implies:
% 196.51/33.46  | | | | | | | | | | | | |   (95)  all_56_4 = e2
% 196.51/33.46  | | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | | | REF_CLOSE: (48), (91), (95) are inconsistent by sub-proof
% 196.51/33.46  | | | | | | | | | | | | |            #1751.
% 196.51/33.46  | | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | | Case 2:
% 196.51/33.46  | | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | | |   (96)  all_56_9 = e2 & op(e3, e0) = e2
% 196.51/33.46  | | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (22), (34), (38), (41), (43),
% 196.51/33.46  | | | | | | | | | | | | |            (45), (48), (60), (63), (65), (77), (80), (96) are
% 196.51/33.46  | | | | | | | | | | | | |            inconsistent by sub-proof #1031.
% 196.51/33.46  | | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | | End of split
% 196.51/33.46  | | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | End of split
% 196.51/33.46  | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | Case 2:
% 196.51/33.46  | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | |   (97)  all_56_9 = e1 & op(e3, e0) = e1
% 196.51/33.46  | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | ALPHA: (97) implies:
% 196.51/33.46  | | | | | | | | | | |   (98)  all_56_9 = e1
% 196.51/33.46  | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | | REF_CLOSE: (43), (87), (98) are inconsistent by sub-proof
% 196.51/33.46  | | | | | | | | | | |            #1030.
% 196.51/33.46  | | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | | End of split
% 196.51/33.46  | | | | | | | | | | 
% 196.51/33.46  | | | | | | | | | End of split
% 196.51/33.46  | | | | | | | | | 
% 196.51/33.46  | | | | | | | | End of split
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | End of split
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | Case 2:
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | |   (99)  all_56_3 = e3 & op(e2, e2) = e3
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | | ALPHA: (99) implies:
% 196.51/33.46  | | | | | | |   (100)  op(e2, e2) = e3
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | | REF_CLOSE: (17), (18), (40), (100) are inconsistent by sub-proof
% 196.51/33.46  | | | | | | |            #1975.
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | End of split
% 196.51/33.46  | | | | | | 
% 196.51/33.46  | | | | | Case 2:
% 196.51/33.46  | | | | | | 
% 196.51/33.46  | | | | | |   (101)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 196.51/33.46  | | | | | |            op(e0, e2) = e3)
% 196.51/33.46  | | | | | | 
% 196.51/33.46  | | | | | | BETA: splitting (101) gives:
% 196.51/33.46  | | | | | | 
% 196.51/33.46  | | | | | | Case 1:
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | |   (102)  all_56_7 = e3 & op(e1, e2) = e3
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | | ALPHA: (102) implies:
% 196.51/33.46  | | | | | | |   (103)  all_56_7 = e3
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | | REF_CLOSE: (16), (17), (32), (38), (43), (48), (60), (61), (62),
% 196.51/33.46  | | | | | | |            (63), (65), (69), (103) are inconsistent by sub-proof
% 196.51/33.46  | | | | | | |            #1346.
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | Case 2:
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | |   (104)  all_56_13 = e3 & op(e0, e2) = e3
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | | ALPHA: (104) implies:
% 196.51/33.46  | | | | | | |   (105)  all_56_13 = e3
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | | BETA: splitting (47) gives:
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | | Case 1:
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | |   (106)  all_56_15 = e0 & op(e0, e0) = e0
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | | REF_CLOSE: (16), (17), (21), (22), (27), (38), (43), (45), (48),
% 196.51/33.46  | | | | | | | |            (60), (63), (65), (77), (106) are inconsistent by
% 196.51/33.46  | | | | | | | |            sub-proof #1029.
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | Case 2:
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | |   (107)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 196.51/33.46  | | | | | | | |              op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.51/33.46  | | | | | | | |              e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 196.51/33.46  | | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0
% 196.51/33.46  | | | | | | | |              & op(e0, e1) = e0))
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | | ALPHA: (107) implies:
% 196.51/33.46  | | | | | | | |   (108)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.51/33.46  | | | | | | | |            op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | | REF_CLOSE: (9), (15), (16), (17), (21), (22), (33), (34), (38),
% 196.51/33.46  | | | | | | | |            (43), (45), (48), (50), (60), (63), (65), (69), (77),
% 196.51/33.46  | | | | | | | |            (105), (108) are inconsistent by sub-proof #1340.
% 196.51/33.46  | | | | | | | | 
% 196.51/33.46  | | | | | | | End of split
% 196.51/33.46  | | | | | | | 
% 196.51/33.46  | | | | | | End of split
% 196.51/33.46  | | | | | | 
% 196.51/33.46  | | | | | End of split
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | Case 2:
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | |   (109)  all_56_10 = e3 & op(e2, e0) = e3
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | | REF_CLOSE: (6), (17), (25), (109) are inconsistent by sub-proof #1456.
% 196.51/33.46  | | | | | 
% 196.51/33.46  | | | | End of split
% 196.51/33.46  | | | | 
% 196.51/33.46  | | | End of split
% 196.51/33.46  | | | 
% 196.51/33.46  | | Case 2:
% 196.51/33.46  | | | 
% 196.51/33.46  | | |   (110)  all_56_7 = e3 & op(e1, e2) = e3
% 196.51/33.46  | | | 
% 196.51/33.46  | | | ALPHA: (110) implies:
% 196.51/33.46  | | |   (111)  all_56_7 = e3
% 196.51/33.46  | | |   (112)  op(e1, e2) = e3
% 196.51/33.46  | | | 
% 196.51/33.47  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 196.51/33.47  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 196.51/33.47  | | |            (25), (26), (27), (28), (29), (30), (32), (33), (34), (35),
% 196.51/33.47  | | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 196.51/33.47  | | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55),
% 196.51/33.47  | | |            (56), (57), (58), (59), (60), (61), (62), (63), (64), (65),
% 196.51/33.47  | | |            (66), (111), (112) are inconsistent by sub-proof #1011.
% 196.51/33.47  | | | 
% 196.51/33.47  | | End of split
% 196.51/33.47  | | 
% 196.51/33.47  | Case 2:
% 196.51/33.47  | | 
% 196.51/33.47  | |   (113)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 196.51/33.47  | |            e3)
% 196.51/33.47  | | 
% 196.51/33.47  | | REF_CLOSE: (17), (24), (26), (38), (65), (113) are inconsistent by sub-proof
% 196.51/33.47  | |            #1406.
% 196.51/33.47  | | 
% 196.51/33.47  | End of split
% 196.51/33.47  | 
% 196.51/33.47  End of proof
% 196.51/33.47  
% 196.51/33.47  Sub-proof #1011 shows that the following formulas are inconsistent:
% 196.51/33.47  ----------------------------------------------------------------
% 196.51/33.47    (1)   ~ (all_52_1 = all_4_2)
% 196.51/33.47    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.51/33.47         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.51/33.47    (3)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.51/33.47    (4)  op(e1, e3) = all_52_2
% 196.51/33.47    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.51/33.47           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.51/33.47           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.51/33.47                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.51/33.47               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.51/33.47               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.51/33.47           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.51/33.47           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.51/33.47               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.51/33.47           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.51/33.47               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.51/33.47           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.51/33.47           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.51/33.47               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.51/33.47               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.51/33.47               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.47         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.51/33.47           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.51/33.47           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.51/33.47               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.51/33.47             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.47         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.51/33.47           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.51/33.47           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.51/33.47                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.51/33.47               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.51/33.47               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.51/33.47           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.51/33.47           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.51/33.47             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.47           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.51/33.47               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.51/33.47           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.51/33.47           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.51/33.47               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.51/33.47               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.51/33.47               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.47         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.51/33.47           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.51/33.47           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.51/33.47               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.51/33.47             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.47         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.51/33.47           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.51/33.47           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.51/33.47                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.51/33.47               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.51/33.47               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.51/33.47           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.51/33.47             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.51/33.47               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.47           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.51/33.47               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.51/33.47           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.51/33.47           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.51/33.47               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.51/33.47               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.51/33.47               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.51/33.47         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.51/33.47           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.51/33.47           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.51/33.47               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.51/33.47             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.51/33.47         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.51/33.47             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.51/33.47           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.51/33.47               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.51/33.47             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.51/33.47         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.51/33.47             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.51/33.47           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.51/33.47               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.51/33.47             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.51/33.47         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.51/33.47             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.51/33.47           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.51/33.47               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.51/33.47             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.51/33.47         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.51/33.47             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.51/33.47           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.51/33.47               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.51/33.47             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.51/33.47    (6)   ~ (all_52_13 = e3)
% 196.51/33.47    (7)  op(e1, e2) = all_52_6
% 196.51/33.47    (8)   ~ (all_52_14 = e0)
% 196.51/33.47    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.51/33.47         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.51/33.47    (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.51/33.47          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.51/33.47    (11)  op(e1, e2) = e3
% 196.51/33.47    (12)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.51/33.47          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.51/33.47    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.51/33.47          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.51/33.47    (14)   ~ (all_52_2 = e0)
% 196.51/33.47    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.51/33.47          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.51/33.47    (16)   ~ (e3 = e2)
% 196.51/33.47    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.51/33.47            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.51/33.47    (18)  op(e2, e2) = all_4_2
% 196.51/33.47    (19)   ~ (all_52_9 = e0)
% 196.51/33.47    (20)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 196.51/33.47          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.51/33.47    (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.51/33.47          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.51/33.47    (22)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.51/33.47          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.51/33.47    (23)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.51/33.47          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.51/33.47    (24)  op(e2, e0) = all_52_13
% 196.51/33.47    (25)  op(e1, e0) = all_52_14
% 196.51/33.47    (26)  all_56_15 = e3
% 196.51/33.47    (27)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.51/33.47          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.51/33.47    (28)   ~ (all_52_2 = all_52_14)
% 196.61/33.47    (29)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.61/33.47              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.61/33.47            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.61/33.47            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.61/33.47            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.47            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.47            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.61/33.47            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.47            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.61/33.47            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.61/33.47            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.47            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.47            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.47            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.47            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.47            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.47            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.47            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.47            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.47            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.47            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.47            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.47            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.47            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.47            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.47            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.47            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.47            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.47            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.47            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.47            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.47            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.47            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.47            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.47            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.47            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.47            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.47            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.47            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.47            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.47            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.47            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.47            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.47            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.47            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.47            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.47            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.47            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.47              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.61/33.47            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.47            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.47              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.61/33.47            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.47            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.61/33.47                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.47                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.47                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.47                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.47                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.61/33.47                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.47                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.47              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.47                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.47                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.47                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.47                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.47                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.47                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.47                $i(all_57_7))))
% 196.61/33.47    (30)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.61/33.47          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.61/33.47    (31)  op(e0, e1) = all_52_11
% 196.61/33.47    (32)  op(e3, e3) = e3
% 196.61/33.47    (33)  all_56_7 = e3
% 196.61/33.47    (34)   ~ (all_52_12 = e3)
% 196.61/33.47    (35)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.61/33.47            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.61/33.47              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.61/33.47    (36)   ~ (all_4_2 = e1)
% 196.61/33.47    (37)  op(e1, e1) = e0
% 196.61/33.47    (38)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.47          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.61/33.47    (39)   ~ (all_4_2 = e3)
% 196.61/33.47    (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.61/33.47          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.61/33.47    (41)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.47          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.61/33.47    (42)   ~ (e1 = e0)
% 196.61/33.47    (43)  all_54_5 = all_4_2
% 196.61/33.47    (44)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.47          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.47    (45)   ~ (all_52_2 = all_52_6)
% 196.61/33.47    (46)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.61/33.47              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.61/33.47                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.61/33.47                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.61/33.47    (47)   ~ (e2 = e1)
% 196.61/33.47    (48)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.47          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.61/33.47    (49)   ~ (all_52_11 = e0)
% 196.61/33.47    (50)   ~ (all_52_13 = all_4_2)
% 196.61/33.47    (51)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.61/33.47          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.61/33.47    (52)  op(e3, e0) = all_52_12
% 196.61/33.47    (53)  all_36_2 = all_4_2
% 196.61/33.47    (54)   ~ (all_52_9 = all_4_2)
% 196.61/33.47    (55)  op(e2, e1) = all_52_9
% 196.61/33.47    (56)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.61/33.47            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.61/33.47              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.61/33.47    (57)  op(e0, e0) = e3
% 196.61/33.47    (58)   ~ (all_52_9 = all_52_13)
% 196.61/33.47    (59)   ~ (e3 = e1)
% 196.61/33.47    (60)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.61/33.47          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.61/33.47    (61)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.61/33.47          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.61/33.47    (62)   ~ (e2 = e0)
% 196.61/33.47    (63)  op(e2, e3) = all_52_1
% 196.61/33.47    (64)   ~ (e3 = e0)
% 196.61/33.47    (65)  all_32_2 = all_4_2
% 196.61/33.47  
% 196.61/33.47  Begin of proof
% 196.61/33.47  | 
% 196.61/33.47  | BETA: splitting (38) gives:
% 196.61/33.47  | 
% 196.61/33.47  | Case 1:
% 196.61/33.47  | | 
% 196.61/33.47  | |   (66)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 196.61/33.47  | |           e3)
% 196.61/33.47  | | 
% 196.61/33.47  | | BETA: splitting (66) gives:
% 196.61/33.47  | | 
% 196.61/33.47  | | Case 1:
% 196.61/33.47  | | | 
% 196.61/33.47  | | |   (67)  all_56_2 = e3 & op(e2, e3) = e3
% 196.61/33.47  | | | 
% 196.61/33.47  | | | ALPHA: (67) implies:
% 196.61/33.47  | | |   (68)  all_56_2 = e3
% 196.61/33.47  | | | 
% 196.61/33.47  | | | REF_CLOSE: (9), (13), (15), (16), (17), (32), (33), (37), (42), (47),
% 196.61/33.47  | | |            (59), (60), (61), (62), (64), (68) are inconsistent by
% 196.61/33.47  | | |            sub-proof #1434.
% 196.61/33.47  | | | 
% 196.61/33.47  | | Case 2:
% 196.61/33.47  | | | 
% 196.61/33.47  | | |   (69)  all_56_3 = e3 & op(e2, e2) = e3
% 196.61/33.47  | | | 
% 196.61/33.47  | | | ALPHA: (69) implies:
% 196.61/33.47  | | |   (70)  op(e2, e2) = e3
% 196.61/33.47  | | | 
% 196.61/33.47  | | | REF_CLOSE: (17), (18), (39), (70) are inconsistent by sub-proof #1975.
% 196.61/33.47  | | | 
% 196.61/33.47  | | End of split
% 196.61/33.47  | | 
% 196.61/33.47  | Case 2:
% 196.61/33.47  | | 
% 196.61/33.47  | |   (71)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 196.61/33.47  | |           e3)
% 196.61/33.47  | | 
% 196.61/33.47  | | BETA: splitting (71) gives:
% 196.61/33.47  | | 
% 196.61/33.47  | | Case 1:
% 196.61/33.47  | | | 
% 196.61/33.47  | | |   (72)  all_56_5 = e3 & op(e2, e1) = e3
% 196.61/33.47  | | | 
% 196.61/33.47  | | | ALPHA: (72) implies:
% 196.61/33.47  | | |   (73)  all_56_5 = e3
% 196.61/33.47  | | |   (74)  op(e2, e1) = e3
% 196.61/33.47  | | | 
% 196.61/33.47  | | | GROUND_INST: instantiating (17) with all_52_6, e3, e2, e1, simplifying
% 196.61/33.47  | | |              with (7), (11) gives:
% 196.61/33.47  | | |   (75)  all_52_6 = e3
% 196.61/33.47  | | | 
% 196.61/33.47  | | | GROUND_INST: instantiating (17) with all_52_9, e3, e1, e2, simplifying
% 196.61/33.47  | | |              with (55), (74) gives:
% 196.61/33.47  | | |   (76)  all_52_9 = e3
% 196.61/33.47  | | | 
% 196.61/33.47  | | | REDUCE: (45), (75) imply:
% 196.61/33.47  | | |   (77)   ~ (all_52_2 = e3)
% 196.61/33.47  | | | 
% 196.61/33.47  | | | REDUCE: (58), (76) imply:
% 196.61/33.47  | | |   (78)   ~ (all_52_13 = e3)
% 196.61/33.47  | | | 
% 196.61/33.47  | | | REDUCE: (54), (76) imply:
% 196.61/33.47  | | |   (79)   ~ (all_4_2 = e3)
% 196.61/33.47  | | | 
% 196.61/33.47  | | | BETA: splitting (56) gives:
% 196.61/33.47  | | | 
% 196.61/33.47  | | | Case 1:
% 196.61/33.47  | | | | 
% 196.61/33.47  | | | |   (80)   ~ (all_32_2 = e0)
% 196.61/33.47  | | | | 
% 196.61/33.47  | | | | REDUCE: (65), (80) imply:
% 196.61/33.47  | | | |   (81)   ~ (all_4_2 = e0)
% 196.61/33.47  | | | | 
% 196.61/33.47  | | | | BETA: splitting (3) gives:
% 196.61/33.47  | | | | 
% 196.61/33.47  | | | | Case 1:
% 196.61/33.47  | | | | | 
% 196.61/33.47  | | | | |   (82)  all_54_5 = e3
% 196.61/33.47  | | | | | 
% 196.61/33.47  | | | | | REF_CLOSE: (39), (43), (82) are inconsistent by sub-proof #1948.
% 196.61/33.47  | | | | | 
% 196.61/33.47  | | | | Case 2:
% 196.61/33.47  | | | | | 
% 196.61/33.47  | | | | |   (83)   ~ (all_54_5 = e3)
% 196.61/33.47  | | | | |   (84)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.61/33.47  | | | | | 
% 196.61/33.47  | | | | | BETA: splitting (84) gives:
% 196.61/33.47  | | | | | 
% 196.61/33.47  | | | | | Case 1:
% 196.61/33.47  | | | | | | 
% 196.61/33.47  | | | | | |   (85)  all_54_5 = e2
% 196.61/33.47  | | | | | | 
% 196.61/33.47  | | | | | | COMBINE_EQS: (43), (85) imply:
% 196.61/33.47  | | | | | |   (86)  all_4_2 = e2
% 196.61/33.47  | | | | | | 
% 196.61/33.47  | | | | | | SIMP: (86) implies:
% 196.61/33.47  | | | | | |   (87)  all_4_2 = e2
% 196.61/33.47  | | | | | | 
% 196.61/33.47  | | | | | | REDUCE: (1), (87) imply:
% 196.61/33.47  | | | | | |   (88)   ~ (all_52_1 = e2)
% 196.61/33.47  | | | | | | 
% 196.61/33.47  | | | | | | REDUCE: (50), (87) imply:
% 196.61/33.47  | | | | | |   (89)   ~ (all_52_13 = e2)
% 196.61/33.47  | | | | | | 
% 196.61/33.47  | | | | | | REDUCE: (39), (87) imply:
% 196.61/33.47  | | | | | |   (90)   ~ (e3 = e2)
% 196.61/33.47  | | | | | | 
% 196.61/33.47  | | | | | | REDUCE: (18), (87) imply:
% 196.61/33.47  | | | | | |   (91)  op(e2, e2) = e2
% 196.61/33.47  | | | | | | 
% 196.61/33.47  | | | | | | BETA: splitting (29) gives:
% 196.61/33.47  | | | | | | 
% 196.61/33.47  | | | | | | Case 1:
% 196.61/33.47  | | | | | | | 
% 196.61/33.47  | | | | | | |   (92)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.61/33.47  | | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.61/33.47  | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.61/33.47  | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 196.61/33.47  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 196.61/33.47  | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.61/33.47  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.61/33.47  | | | | | | |           $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3 &  ~
% 196.61/33.47  | | | | | | |           (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.61/33.47  | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1,
% 196.61/33.47  | | | | | | |             e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.61/33.47  | | | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 196.61/33.47  | | | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.47  | | | | | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.47  | | | | | | |           $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 196.61/33.47  | | | | | | |           all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.61/33.47  | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.61/33.47  | | | | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.61/33.47  | | | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.47  | | | | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.61/33.47  | | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 196.61/33.47  | | | | | | |           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.61/33.47  | | | | | | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.61/33.47  | | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.47  | | | | | | |           all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.47  | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.61/33.47  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.61/33.47  | | | | | | |             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.47  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.47  | | | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 196.61/33.47  | | | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.47  | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 196.61/33.47  | | | | | | |             e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.47  | | | | | | | 
% 196.61/33.47  | | | | | | | BETA: splitting (92) gives:
% 196.61/33.47  | | | | | | | 
% 196.61/33.47  | | | | | | | Case 1:
% 196.61/33.47  | | | | | | | | 
% 196.61/33.47  | | | | | | | |   (93)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.61/33.47  | | | | | | | |           ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.61/33.47  | | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.61/33.47  | | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 196.61/33.47  | | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 196.61/33.47  | | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.61/33.47  | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 196.61/33.47  | | | | | | | |           & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3 & 
% 196.61/33.47  | | | | | | | |           ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.61/33.47  | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1,
% 196.61/33.47  | | | | | | | |             e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.61/33.47  | | | | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) & 
% 196.61/33.47  | | | | | | | |           ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.47  | | | | | | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.47  | | | | | | | |           $i(all_57_2) & $i(all_57_14))
% 196.61/33.47  | | | | | | | | 
% 196.61/33.47  | | | | | | | | BETA: splitting (93) gives:
% 196.61/33.47  | | | | | | | | 
% 196.61/33.47  | | | | | | | | Case 1:
% 196.61/33.47  | | | | | | | | | 
% 196.61/33.47  | | | | | | | | |   (94)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.61/33.47  | | | | | | | | |            ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.61/33.47  | | | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3
% 196.61/33.47  | | | | | | | | |           & $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 196.61/33.47  | | | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.61/33.47  | | | | | | | | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.61/33.47  | | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.47  | | | | | | | | |           $i(all_57_2) & $i(all_57_12))
% 196.61/33.47  | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | REF_CLOSE: (17), (63), (88), (94) are inconsistent by
% 196.61/33.47  | | | | | | | | |            sub-proof #1784.
% 196.61/33.47  | | | | | | | | | 
% 196.61/33.47  | | | | | | | | Case 2:
% 196.61/33.47  | | | | | | | | | 
% 196.61/33.47  | | | | | | | | |   (95)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &
% 196.61/33.47  | | | | | | | | |            ~ (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.61/33.47  | | | | | | | | |             e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.47  | | | | | | | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.61/33.47  | | | | | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &
% 196.61/33.47  | | | | | | | | |            ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.47  | | | | | | | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3
% 196.61/33.47  | | | | | | | | |           & $i(all_57_2) & $i(all_57_14))
% 196.61/33.47  | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | BETA: splitting (95) gives:
% 196.61/33.47  | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | Case 1:
% 196.61/33.47  | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | |   (96)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2)
% 196.61/33.47  | | | | | | | | | |         &  ~ (all_57_14 = e3) & op(e2, e3) = all_57_0 &
% 196.61/33.47  | | | | | | | | | |         op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.47  | | | | | | | | | |         all_57_14 & $i(all_57_0) & $i(all_57_14)
% 196.61/33.47  | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | ALPHA: (96) implies:
% 196.61/33.47  | | | | | | | | | |   (97)  op(e2, e2) = e3
% 196.61/33.47  | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | REF_CLOSE: (17), (18), (39), (97) are inconsistent by
% 196.61/33.47  | | | | | | | | | |            sub-proof #1975.
% 196.61/33.47  | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | Case 2:
% 196.61/33.47  | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | |   (98)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0)
% 196.61/33.47  | | | | | | | | | |         &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1)
% 196.61/33.47  | | | | | | | | | |         = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 196.61/33.47  | | | | | | | | | |         e3 & $i(all_57_2) & $i(all_57_14)
% 196.61/33.47  | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | ALPHA: (98) implies:
% 196.61/33.47  | | | | | | | | | |   (99)  all_57_15 = e3
% 196.61/33.47  | | | | | | | | | |   (100)   ~ (all_57_14 = e3)
% 196.61/33.47  | | | | | | | | | |   (101)   ~ (all_57_2 = e0)
% 196.61/33.47  | | | | | | | | | |   (102)  op(e0, e3) = all_57_2
% 196.61/33.47  | | | | | | | | | |   (103)  op(e1, e1) = all_57_14
% 196.61/33.47  | | | | | | | | | |   (104)  op(e1, e3) = e1
% 196.61/33.47  | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | BETA: splitting (12) gives:
% 196.61/33.47  | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | Case 1:
% 196.61/33.47  | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | |   (105)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.61/33.47  | | | | | | | | | | |            & op(e2, e2) = e2)
% 196.61/33.47  | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | BETA: splitting (105) gives:
% 196.61/33.47  | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | Case 1:
% 196.61/33.47  | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | |   (106)  all_56_1 = e2 & op(e3, e2) = e2
% 196.61/33.47  | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | ALPHA: (106) implies:
% 196.61/33.47  | | | | | | | | | | | |   (107)  all_56_1 = e2
% 196.61/33.47  | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | BETA: splitting (2) gives:
% 196.61/33.47  | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | Case 1:
% 196.61/33.47  | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | |   (108)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 196.61/33.47  | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 196.61/33.47  | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | REF_CLOSE: (17), (47), (91), (107), (108) are inconsistent by
% 196.61/33.47  | | | | | | | | | | | | |            sub-proof #1157.
% 196.61/33.47  | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | Case 2:
% 196.61/33.47  | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | |   (109)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 196.61/33.47  | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 196.61/33.47  | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | BETA: splitting (109) gives:
% 196.61/33.47  | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | Case 1:
% 196.61/33.47  | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | |   (110)  all_56_7 = e1 & op(e1, e2) = e1
% 196.61/33.47  | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | | REF_CLOSE: (33), (59), (110) are inconsistent by sub-proof
% 196.61/33.47  | | | | | | | | | | | | | |            #1771.
% 196.61/33.47  | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | Case 2:
% 196.61/33.47  | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | |   (111)  all_56_13 = e1 & op(e0, e2) = e1
% 196.61/33.47  | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | | ALPHA: (111) implies:
% 196.61/33.47  | | | | | | | | | | | | | |   (112)  all_56_13 = e1
% 196.61/33.47  | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 196.61/33.47  | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | | Case 1:
% 196.61/33.47  | | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | | |   (113)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.47  | | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (22), (26), (37), (42), (44),
% 196.61/33.47  | | | | | | | | | | | | | | |            (47), (59), (62), (64), (73), (113) are
% 196.61/33.47  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1029.
% 196.61/33.47  | | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | | Case 2:
% 196.61/33.47  | | | | | | | | | | | | | | | 
% 196.61/33.47  | | | | | | | | | | | | | | |   (114)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/33.47  | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.61/33.47  | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.61/33.47  | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.61/33.47  | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.61/33.48  | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | ALPHA: (114) implies:
% 196.61/33.48  | | | | | | | | | | | | | | |   (115)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.61/33.48  | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | |              e1) = e0)
% 196.61/33.48  | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | |   (116)  all_56_12 = e0 & op(e0, e3) = e0
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | ALPHA: (116) implies:
% 196.61/33.48  | | | | | | | | | | | | | | | |   (117)  op(e0, e3) = e0
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (101), (102), (117) are inconsistent by
% 196.61/33.48  | | | | | | | | | | | | | | | |            sub-proof #1526.
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | |   (118)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 196.61/33.48  | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | |   (119)  all_56_13 = e0 & op(e0, e2) = e0
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (112), (119) are inconsistent by sub-proof
% 196.61/33.48  | | | | | | | | | | | | | | | | |            #1867.
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | |   (120)  all_56_14 = e0 & op(e0, e1) = e0
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 196.61/33.48  | | | | | | | | | | | | | | | | |   (121)  op(e0, e1) = e0
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (31), (49), (121) are inconsistent by
% 196.61/33.48  | | | | | | | | | | | | | | | | |            sub-proof #1931.
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | |   (122)  all_56_3 = e2 & op(e2, e2) = e2
% 196.61/33.48  | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | GROUND_INST: instantiating (17) with e0, all_57_14, e1, e1,
% 196.61/33.48  | | | | | | | | | | | |              simplifying with (37), (103) gives:
% 196.61/33.48  | | | | | | | | | | | |   (123)  all_57_14 = e0
% 196.61/33.48  | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_52_2, e1, e3, e1,
% 196.61/33.48  | | | | | | | | | | | |              simplifying with (4), (104) gives:
% 196.61/33.48  | | | | | | | | | | | |   (124)  all_52_2 = e1
% 196.61/33.48  | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | REDUCE: (100), (123) imply:
% 196.61/33.48  | | | | | | | | | | | |   (125)   ~ (e3 = e0)
% 196.61/33.48  | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | REDUCE: (28), (124) imply:
% 196.61/33.48  | | | | | | | | | | | |   (126)   ~ (all_52_14 = e1)
% 196.61/33.48  | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | SIMP: (126) implies:
% 196.61/33.48  | | | | | | | | | | | |   (127)   ~ (all_52_14 = e1)
% 196.61/33.48  | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | REDUCE: (77), (124) imply:
% 196.61/33.48  | | | | | | | | | | | |   (128)   ~ (e3 = e1)
% 196.61/33.48  | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | BETA: splitting (46) gives:
% 196.61/33.48  | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | |   (129)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.48  | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (22), (26), (37), (42), (44),
% 196.61/33.48  | | | | | | | | | | | | |            (47), (59), (62), (64), (73), (129) are
% 196.61/33.48  | | | | | | | | | | | | |            inconsistent by sub-proof #1029.
% 196.61/33.48  | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | |   (130)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/33.48  | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.61/33.48  | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.61/33.48  | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.61/33.48  | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | ALPHA: (130) implies:
% 196.61/33.48  | | | | | | | | | | | | |   (131)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.61/33.48  | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | |              e1) = e0)
% 196.61/33.48  | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | BETA: splitting (131) gives:
% 196.61/33.48  | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | |   (132)  all_56_12 = e0 & op(e0, e3) = e0
% 196.61/33.48  | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | ALPHA: (132) implies:
% 196.61/33.48  | | | | | | | | | | | | | |   (133)  op(e0, e3) = e0
% 196.61/33.48  | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | REF_CLOSE: (17), (101), (102), (133) are inconsistent by
% 196.61/33.48  | | | | | | | | | | | | | |            sub-proof #1526.
% 196.61/33.48  | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | |   (134)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 196.61/33.48  | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 196.61/33.48  | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 196.61/33.48  | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | |   (135)  all_56_13 = e0 & op(e0, e2) = e0
% 196.61/33.48  | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 196.61/33.48  | | | | | | | | | | | | | | |   (136)  op(e0, e2) = e0
% 196.61/33.48  | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | |   (137)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.61/33.48  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.48  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.61/33.48  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.48  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.48  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.48  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.61/33.48  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.48  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.48  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.48  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.61/33.48  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.61/33.48  | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.48  | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.48  | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.61/33.48  | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.61/33.48  | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | |   (138)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.61/33.48  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.61/33.48  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | |   (139)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (18), (39), (57), (136), (139) are
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1027.
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | |   (140)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (141)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (142)  op(e3, e3) = e1
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (32), (59), (142) are inconsistent by
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (143)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (144)  op(e1, e1) = e3
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (23), (25), (30), (33), (42), (47),
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |            (59), (60), (62), (64), (127), (144) are
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1769.
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | |   (145)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.61/33.48  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.61/33.48  | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | |   (146)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (32), (64), (101), (102), (146) are
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1111.
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | |   (147)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (148)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (149)  op(e2, e2) = e1
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (47), (91), (149) are inconsistent by
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |            sub-proof #1783.
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (150)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |            e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (151)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (57), (136), (151) are inconsistent by
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |            sub-proof #1028.
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | |   (152)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.48  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.48  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.61/33.48  | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.61/33.48  | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.48  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.48  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.61/33.48  | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.61/33.48  | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.48  | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.61/33.48  | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.48  | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.48  | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.48  | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.61/33.48  | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.48  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.48  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.48  | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.61/33.48  | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.48  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.48  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.48  | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.61/33.48  | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.48  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.48  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | |   (153)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.61/33.48  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.61/33.48  | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | |   (154)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (24), (57), (89), (154) are
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1109.
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | |   (155)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17), (25), (127), (155) are inconsistent by
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            sub-proof #1514.
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | |   (156)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.61/33.48  | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.61/33.48  | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.61/33.48  | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.48  | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.61/33.48  | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.48  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.48  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | |   (157)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (158)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | ALPHA: (158) implies:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (159)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (37), (64), (104), (159) are inconsistent by
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |            sub-proof #1325.
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (160)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |   (161)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (57), (136), (161) are inconsistent by
% 196.61/33.48  | | | | | | | | | | | | | | | | | | |            sub-proof #1028.
% 196.61/33.48  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.48  | | | | | | | | | | | | | | | | | | 
% 196.61/33.48  | | | | | | | | | | | | | | | | | |   (162)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.48  | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.48  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.49  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.49  | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 196.61/33.49  | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |   (163)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |   (164)  op(e1, e1) = e1
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (37), (42), (164) are inconsistent by
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |            sub-proof #1959.
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |   (165)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | ALPHA: (165) implies:
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |   (166)  all_57_15 = e0
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (166) imply:
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |   (167)  e3 = e0
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (167) imply:
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |   (168)  all_56_5 = e0
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (22), (37), (42), (44), (47),
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |            (59), (62), (64), (168) are inconsistent by
% 196.61/33.49  | | | | | | | | | | | | | | | | | | |            sub-proof #1551.
% 196.61/33.49  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | |   (169)  all_56_14 = e0 & op(e0, e1) = e0
% 196.61/33.49  | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 196.61/33.49  | | | | | | | | | | | | | | |   (170)  op(e0, e1) = e0
% 196.61/33.49  | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | | REF_CLOSE: (17), (31), (49), (170) are inconsistent by
% 196.61/33.49  | | | | | | | | | | | | | | |            sub-proof #1931.
% 196.61/33.49  | | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | |   (171)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.61/33.49  | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | BETA: splitting (171) gives:
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | |   (172)  all_56_7 = e2 & op(e1, e2) = e2
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | REF_CLOSE: (16), (33), (172) are inconsistent by sub-proof
% 196.61/33.49  | | | | | | | | | | | |            #1925.
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | |   (173)  all_56_13 = e2 & op(e0, e2) = e2
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | ALPHA: (173) implies:
% 196.61/33.49  | | | | | | | | | | | |   (174)  all_56_13 = e2
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | BETA: splitting (46) gives:
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | |   (175)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.49  | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (22), (26), (37), (42), (44),
% 196.61/33.49  | | | | | | | | | | | | |            (47), (59), (62), (64), (73), (175) are
% 196.61/33.49  | | | | | | | | | | | | |            inconsistent by sub-proof #1029.
% 196.61/33.49  | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | |   (176)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/33.49  | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.61/33.49  | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.61/33.49  | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.61/33.49  | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.61/33.49  | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | ALPHA: (176) implies:
% 196.61/33.49  | | | | | | | | | | | | |   (177)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.61/33.49  | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.61/33.49  | | | | | | | | | | | | |              e1) = e0)
% 196.61/33.49  | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | | REF_CLOSE: (17), (31), (49), (62), (101), (102), (174), (177)
% 196.61/33.49  | | | | | | | | | | | | |            are inconsistent by sub-proof #1025.
% 196.61/33.49  | | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | |   (178)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) & 
% 196.61/33.49  | | | | | | | |            ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.61/33.49  | | | | | | | |              e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 196.61/33.49  | | | | | | | |            & $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 196.61/33.49  | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.61/33.49  | | | | | | | |              e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.61/33.49  | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.49  | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 196.61/33.49  | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 196.61/33.49  | | | | | | | |              e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.61/33.49  | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.49  | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.61/33.49  | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.61/33.49  | | | | | | | |              e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.49  | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.49  | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.61/33.49  | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 196.61/33.49  | | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.49  | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.61/33.49  | | | | | | | |            $i(all_57_7) & $i(all_57_10))
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | | BETA: splitting (178) gives:
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | |   (179)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.61/33.49  | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.61/33.49  | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | |            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 196.61/33.49  | | | | | | | | |              e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | REF_CLOSE: (16), (17), (37), (57), (62), (179) are
% 196.61/33.49  | | | | | | | | |            inconsistent by sub-proof #1394.
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | |   (180)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3,
% 196.61/33.49  | | | | | | | | |              e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.61/33.49  | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.61/33.49  | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1,
% 196.61/33.49  | | | | | | | | |              e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 196.61/33.49  | | | | | | | | |              e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.61/33.49  | | | | | | | | |          (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.49  | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | BETA: splitting (180) gives:
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | |   (181)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3)
% 196.61/33.49  | | | | | | | | | |          &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3,
% 196.61/33.49  | | | | | | | | | |            e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.61/33.49  | | | | | | | | | |          all_57_14 & $i(all_57_3) & $i(all_57_14)
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | ALPHA: (181) implies:
% 196.61/33.49  | | | | | | | | | |   (182)  op(e3, e3) = e2
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | REF_CLOSE: (16), (17), (32), (182) are inconsistent by
% 196.61/33.49  | | | | | | | | | |            sub-proof #1957.
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | |   (183)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.61/33.49  | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.61/33.49  | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.61/33.49  | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.61/33.49  | | | | | | | | | |          (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.61/33.49  | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.49  | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.61/33.49  | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.49  | | | | | | | | | |            $i(all_57_10))
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | REF_CLOSE: (16), (17), (47), (57), (91), (183) are
% 196.61/33.49  | | | | | | | | | |            inconsistent by sub-proof #1024.
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | End of split
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | Case 2:
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | |   (184)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.49  | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1)
% 196.61/33.49  | | | | | | |            = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 196.61/33.49  | | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 196.61/33.49  | | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.61/33.49  | | | | | | |              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.49  | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6)
% 196.61/33.49  | | | | | | |            & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 196.61/33.49  | | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.61/33.49  | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 196.61/33.49  | | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.49  | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) & 
% 196.61/33.49  | | | | | | |            ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.61/33.49  | | | | | | |              e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.49  | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.61/33.49  | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 196.61/33.49  | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.49  | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.49  | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 &
% 196.61/33.49  | | | | | | |            all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 196.61/33.49  | | | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.49  | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 196.61/33.49  | | | | | | |            & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 & 
% 196.61/33.49  | | | | | | |            ~ (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) =
% 196.61/33.49  | | | | | | |            e0 & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 196.61/33.49  | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 196.61/33.49  | | | | | | |          (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) & 
% 196.61/33.49  | | | | | | |            ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 196.61/33.49  | | | | | | |              e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.49  | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 196.61/33.49  | | | | | | |            all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 196.61/33.49  | | | | | | |              e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.49  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.49  | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.49  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 196.61/33.49  | | | | | | |                = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.49  | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 196.61/33.49  | | | | | | |                  e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.61/33.49  | | | | | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 196.61/33.49  | | | | | | |                  = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.61/33.49  | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.61/33.49  | | | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 196.61/33.49  | | | | | | |                  = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.61/33.49  | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.61/33.49  | | | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.49  | | | | | | |                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.49  | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.61/33.49  | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 196.61/33.49  | | | | | | |                  = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.49  | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.61/33.49  | | | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 196.61/33.49  | | | | | | |                  = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.61/33.49  | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | | BETA: splitting (184) gives:
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | |   (185)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) & 
% 196.61/33.49  | | | | | | | |            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 196.61/33.49  | | | | | | | |              e1) = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 196.61/33.49  | | | | | | | |            & $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 196.61/33.49  | | | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.61/33.49  | | | | | | | |              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.49  | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.49  | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.61/33.49  | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 196.61/33.49  | | | | | | | |              e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.49  | | | | | | | |            op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 196.61/33.49  | | | | | | | |            $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 196.61/33.49  | | | | | | | |            all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 196.61/33.49  | | | | | | | |              = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.49  | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.49  | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.61/33.49  | | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 196.61/33.49  | | | | | | | |              = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.49  | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.49  | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | | BETA: splitting (185) gives:
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | |   (186)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | |            op(e3, e1) = e3 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.49  | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 196.61/33.49  | | | | | | | | |          (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.49  | | | | | | | | |              e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2,
% 196.61/33.49  | | | | | | | | |              e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | REF_CLOSE: (17), (32), (57), (59), (186) are inconsistent by
% 196.61/33.49  | | | | | | | | |            sub-proof #1045.
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | |   (187)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.61/33.49  | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.49  | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.49  | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | |            op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 196.61/33.49  | | | | | | | | |            all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 196.61/33.49  | | | | | | | | |          (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.61/33.49  | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | REF_CLOSE: (17), (34), (52), (57), (59), (187) are
% 196.61/33.49  | | | | | | | | |            inconsistent by sub-proof #1189.
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | |   (188)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &
% 196.61/33.49  | | | | | | | |             ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.61/33.49  | | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.49  | | | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 196.61/33.49  | | | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 196.61/33.49  | | | | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.49  | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.49  | | | | | | | |            $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 196.61/33.49  | | | | | | | |            all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13
% 196.61/33.49  | | | | | | | |              = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.49  | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.49  | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 196.61/33.49  | | | | | | | |            all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14
% 196.61/33.49  | | | | | | | |              = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.49  | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.49  | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.49  | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.61/33.49  | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.49  | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.61/33.49  | | | | | | | |                  e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.61/33.49  | | | | | | | |              (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.49  | | | | | | | |                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.61/33.49  | | | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.49  | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 196.61/33.49  | | | | | | | |                 ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.61/33.49  | | | | | | | |                  e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 196.61/33.49  | | | | | | | |                e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.61/33.49  | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.61/33.49  | | | | | | | |                op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 196.61/33.49  | | | | | | | |                  e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.61/33.49  | | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.61/33.49  | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.61/33.49  | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.61/33.49  | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.61/33.49  | | | | | | | |                  e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.61/33.49  | | | | | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.49  | | | | | | | |                $i(all_57_7))))
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | | REF_CLOSE: (16), (17), (18), (24), (31), (32), (37), (39), (49),
% 196.61/33.49  | | | | | | | |            (59), (62), (64), (89), (188) are inconsistent by
% 196.61/33.49  | | | | | | | |            sub-proof #1584.
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | End of split
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | End of split
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | Case 2:
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | |   (189)  all_54_5 = e1 | all_54_5 = e0
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | | REF_CLOSE: (36), (43), (81), (189) are inconsistent by sub-proof
% 196.61/33.49  | | | | | |            #1941.
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | End of split
% 196.61/33.49  | | | | | 
% 196.61/33.49  | | | | End of split
% 196.61/33.49  | | | | 
% 196.61/33.49  | | | Case 2:
% 196.61/33.49  | | | | 
% 196.61/33.49  | | | |   (190)  all_32_2 = e0
% 196.61/33.49  | | | | 
% 196.61/33.49  | | | | COMBINE_EQS: (65), (190) imply:
% 196.61/33.49  | | | |   (191)  all_4_2 = e0
% 196.61/33.49  | | | | 
% 196.61/33.49  | | | | SIMP: (191) implies:
% 196.61/33.49  | | | |   (192)  all_4_2 = e0
% 196.61/33.49  | | | | 
% 196.61/33.49  | | | | COMBINE_EQS: (53), (192) imply:
% 196.61/33.49  | | | |   (193)  all_36_2 = e0
% 196.61/33.49  | | | | 
% 196.61/33.49  | | | | REDUCE: (39), (192) imply:
% 196.61/33.49  | | | |   (194)   ~ (e3 = e0)
% 196.61/33.49  | | | | 
% 196.61/33.49  | | | | REDUCE: (36), (192) imply:
% 196.61/33.49  | | | |   (195)   ~ (e1 = e0)
% 196.61/33.49  | | | | 
% 196.61/33.49  | | | | REDUCE: (18), (192) imply:
% 196.61/33.49  | | | |   (196)  op(e2, e2) = e0
% 196.61/33.49  | | | | 
% 196.61/33.49  | | | | BETA: splitting (13) gives:
% 196.61/33.49  | | | | 
% 196.61/33.49  | | | | Case 1:
% 196.61/33.49  | | | | | 
% 196.61/33.49  | | | | |   (197)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2,
% 196.61/33.49  | | | | |              e3) = e0)
% 196.61/33.49  | | | | | 
% 196.61/33.49  | | | | | BETA: splitting (197) gives:
% 196.61/33.49  | | | | | 
% 196.61/33.49  | | | | | Case 1:
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | |   (198)  all_56_0 = e0 & op(e3, e3) = e0
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | | ALPHA: (198) implies:
% 196.61/33.49  | | | | | |   (199)  op(e3, e3) = e0
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | | REF_CLOSE: (17), (32), (64), (199) are inconsistent by sub-proof
% 196.61/33.49  | | | | | |            #1961.
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | Case 2:
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | |   (200)  all_56_2 = e0 & op(e2, e3) = e0
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | | ALPHA: (200) implies:
% 196.61/33.49  | | | | | |   (201)  all_56_2 = e0
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | | REF_CLOSE: (16), (17), (18), (35), (38), (39), (41), (42), (47),
% 196.61/33.49  | | | | | |            (48), (59), (62), (64), (73), (193), (196), (201) are
% 196.61/33.49  | | | | | |            inconsistent by sub-proof #1701.
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | End of split
% 196.61/33.49  | | | | | 
% 196.61/33.49  | | | | Case 2:
% 196.61/33.49  | | | | | 
% 196.61/33.49  | | | | |   (202)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0,
% 196.61/33.49  | | | | |              e3) = e0)
% 196.61/33.49  | | | | | 
% 196.61/33.49  | | | | | BETA: splitting (202) gives:
% 196.61/33.49  | | | | | 
% 196.61/33.49  | | | | | Case 1:
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | |   (203)  all_56_6 = e0 & op(e1, e3) = e0
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | | ALPHA: (203) implies:
% 196.61/33.49  | | | | | |   (204)  all_56_6 = e0
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | | REF_CLOSE: (16), (17), (30), (33), (37), (42), (47), (59), (60),
% 196.61/33.49  | | | | | |            (61), (62), (64), (204) are inconsistent by sub-proof
% 196.61/33.49  | | | | | |            #1104.
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | Case 2:
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | |   (205)  all_56_12 = e0 & op(e0, e3) = e0
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | | ALPHA: (205) implies:
% 196.61/33.49  | | | | | |   (206)  op(e0, e3) = e0
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | | BETA: splitting (46) gives:
% 196.61/33.49  | | | | | | 
% 196.61/33.49  | | | | | | Case 1:
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | |   (207)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | | REF_CLOSE: (16), (17), (21), (22), (26), (37), (42), (44), (47),
% 196.61/33.49  | | | | | | |            (59), (62), (64), (73), (207) are inconsistent by
% 196.61/33.49  | | | | | | |            sub-proof #1023.
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | Case 2:
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | |   (208)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 196.61/33.49  | | | | | | |              op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.61/33.49  | | | | | | |              e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 196.61/33.49  | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 &
% 196.61/33.49  | | | | | | |              op(e0, e1) = e0))
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | | ALPHA: (208) implies:
% 196.61/33.49  | | | | | | |   (209)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 196.61/33.49  | | | | | | |            op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | | BETA: splitting (209) gives:
% 196.61/33.49  | | | | | | | 
% 196.61/33.49  | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | |   (210)  all_56_9 = e0 & op(e3, e0) = e0
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | | ALPHA: (210) implies:
% 196.61/33.49  | | | | | | | |   (211)  op(e3, e0) = e0
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | | BETA: splitting (29) gives:
% 196.61/33.49  | | | | | | | | 
% 196.61/33.49  | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | |   (212)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2,
% 196.61/33.49  | | | | | | | | |              e2) = all_57_12 & op(e1, e3) = all_57_1 & op(e1,
% 196.61/33.49  | | | | | | | | |              e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.61/33.49  | | | | | | | | |          (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2,
% 196.61/33.49  | | | | | | | | |              e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0,
% 196.61/33.49  | | | | | | | | |              e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 196.61/33.49  | | | | | | | | |          (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_14 = e3) & op(e2, e3) = all_57_0 &
% 196.61/33.49  | | | | | | | | |            op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.49  | | | | | | | | |            all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.61/33.49  | | | | | | | | |          (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1,
% 196.61/33.49  | | | | | | | | |              e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 196.61/33.49  | | | | | | | | |              e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 196.61/33.49  | | | | | | | | |          (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.61/33.49  | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.61/33.49  | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | |            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 196.61/33.49  | | | | | | | | |              e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.61/33.49  | | | | | | | | |          (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3,
% 196.61/33.49  | | | | | | | | |              e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.61/33.49  | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.61/33.49  | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1,
% 196.61/33.49  | | | | | | | | |              e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 196.61/33.49  | | | | | | | | |              e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.61/33.49  | | | | | | | | |          (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.49  | | | | | | | | |            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.49  | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | BETA: splitting (212) gives:
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | |   (213)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.49  | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.49  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.61/33.49  | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.61/33.49  | | | | | | | | | |          (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.61/33.49  | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.49  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.49  | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 196.61/33.49  | | | | | | | | | |          (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.49  | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.61/33.49  | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.61/33.49  | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.61/33.49  | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.61/33.49  | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.61/33.49  | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0,
% 196.61/33.49  | | | | | | | | | |              e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 196.61/33.49  | | | | | | | | | |            & $i(all_57_14))
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | BETA: splitting (213) gives:
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | |   (214)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.49  | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.49  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.61/33.49  | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.61/33.49  | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.61/33.49  | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.49  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.49  | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | REF_CLOSE: (17), (37), (64), (206), (214) are inconsistent by
% 196.61/33.49  | | | | | | | | | | |            sub-proof #1395.
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | |   (215)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.49  | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.61/33.49  | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.61/33.49  | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.61/33.49  | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.61/33.49  | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.61/33.49  | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.49  | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.49  | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | REF_CLOSE: (17), (18), (39), (206), (215) are inconsistent by
% 196.61/33.49  | | | | | | | | | | |            sub-proof #1022.
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | |   (216)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.49  | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.61/33.49  | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.61/33.49  | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.61/33.49  | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.61/33.49  | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.61/33.49  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0,
% 196.61/33.49  | | | | | | | | | |              e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 196.61/33.49  | | | | | | | | | |            & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 =
% 196.61/33.49  | | | | | | | | | |            e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 196.61/33.49  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 196.61/33.49  | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.49  | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.61/33.49  | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.61/33.49  | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 196.61/33.49  | | | | | | | | | |            all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 196.61/33.49  | | | | | | | | | |            e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 196.61/33.49  | | | | | | | | | |            e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.49  | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.49  | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | BETA: splitting (216) gives:
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | |   (217)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.49  | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.61/33.49  | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.61/33.49  | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.61/33.49  | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.61/33.49  | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.61/33.49  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.61/33.49  | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.49  | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | REF_CLOSE: (16), (17), (37), (57), (62), (217) are
% 196.61/33.49  | | | | | | | | | | |            inconsistent by sub-proof #1394.
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | |   (218)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.61/33.49  | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.61/33.49  | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.61/33.49  | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.49  | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 196.61/33.49  | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 196.61/33.49  | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.49  | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.49  | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.61/33.49  | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.49  | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.49  | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.49  | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | BETA: splitting (218) gives:
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | Case 1:
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | |   (219)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.61/33.49  | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.61/33.49  | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.61/33.49  | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | ALPHA: (219) implies:
% 196.61/33.49  | | | | | | | | | | | |   (220)  op(e3, e3) = e2
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | REF_CLOSE: (16), (17), (32), (220) are inconsistent by
% 196.61/33.49  | | | | | | | | | | | |            sub-proof #1957.
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | |   (221)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.61/33.49  | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.61/33.49  | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.61/33.49  | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.61/33.49  | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.61/33.49  | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.49  | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.61/33.49  | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.49  | | | | | | | | | | | |            $i(all_57_10))
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | | REF_CLOSE: (16), (17), (42), (57), (196), (221) are
% 196.61/33.49  | | | | | | | | | | | |            inconsistent by sub-proof #1393.
% 196.61/33.49  | | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | | 
% 196.61/33.49  | | | | | | | | | End of split
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.49  | | | | | | | | Case 2:
% 196.61/33.49  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | |   (222)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.50  | | | | | | | | |            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.50  | | | | | | | | |            op(e3, e1) = e3 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.50  | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 196.61/33.50  | | | | | | | | |          (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.50  | | | | | | | | |            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.50  | | | | | | | | |              e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2,
% 196.61/33.50  | | | | | | | | |              e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 196.61/33.50  | | | | | | | | |          (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.50  | | | | | | | | |            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.61/33.50  | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.50  | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.50  | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.50  | | | | | | | | |            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.50  | | | | | | | | |            op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 196.61/33.50  | | | | | | | | |            all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 196.61/33.50  | | | | | | | | |          (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.50  | | | | | | | | |            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.50  | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.61/33.50  | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13)) |
% 196.61/33.50  | | | | | | | | |          (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.50  | | | | | | | | |            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3,
% 196.61/33.50  | | | | | | | | |              e0) = all_57_9 & op(e2, e2) = all_57_12 & op(e2,
% 196.61/33.50  | | | | | | | | |              e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.61/33.50  | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.50  | | | | | | | | |            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3,
% 196.61/33.50  | | | | | | | | |              e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1,
% 196.61/33.50  | | | | | | | | |              e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 196.61/33.50  | | | | | | | | |          (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.50  | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.50  | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.50  | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.50  | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &
% 196.61/33.50  | | | | | | | | |             ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2,
% 196.61/33.50  | | | | | | | | |              e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 196.61/33.50  | | | | | | | | |            all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.50  | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.61/33.50  | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 & 
% 196.61/33.50  | | | | | | | | |                ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.50  | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.61/33.50  | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 =
% 196.61/33.50  | | | | | | | | |                e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.61/33.50  | | | | | | | | |                (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.61/33.50  | | | | | | | | |                op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.50  | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 196.61/33.50  | | | | | | | | |                &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.61/33.50  | | | | | | | | |                op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.61/33.50  | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 =
% 196.61/33.50  | | | | | | | | |                e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.61/33.50  | | | | | | | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 &
% 196.61/33.50  | | | | | | | | |                op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.50  | | | | | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.61/33.50  | | | | | | | | |                &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.61/33.50  | | | | | | | | |                op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.50  | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.50  | | | | | | | | |                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.50  | | | | | | | | |                (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.61/33.50  | | | | | | | | |                = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | BETA: splitting (222) gives:
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | |   (223)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.50  | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.50  | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.50  | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.50  | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.50  | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.50  | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.50  | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.50  | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.61/33.50  | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.50  | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.61/33.50  | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.50  | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.50  | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.61/33.50  | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.61/33.50  | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.61/33.50  | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.50  | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.61/33.50  | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.61/33.50  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 196.61/33.50  | | | | | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.50  | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | BETA: splitting (223) gives:
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | |   (224)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.50  | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.50  | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.50  | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.50  | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.50  | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.50  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.50  | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.50  | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | REF_CLOSE: (17), (32), (57), (59), (224) are inconsistent by
% 196.61/33.50  | | | | | | | | | | |            sub-proof #1045.
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | |   (225)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.50  | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.61/33.50  | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.61/33.50  | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.50  | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 196.61/33.50  | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.61/33.50  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.50  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.50  | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 196.61/33.50  | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.61/33.50  | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.50  | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.61/33.50  | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | REF_CLOSE: (17), (57), (59), (64), (211), (225) are
% 196.61/33.50  | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | |   (226)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.61/33.50  | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.61/33.50  | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.61/33.50  | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.61/33.50  | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.61/33.50  | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.61/33.50  | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 196.61/33.50  | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 196.61/33.50  | | | | | | | | | |          (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.50  | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.50  | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.50  | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.50  | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 196.61/33.50  | | | | | | | | | |            &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.61/33.50  | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1,
% 196.61/33.50  | | | | | | | | | |              e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.50  | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.50  | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.61/33.50  | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.50  | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.61/33.50  | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.50  | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.61/33.50  | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 196.61/33.50  | | | | | | | | | |                & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.61/33.50  | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 196.61/33.50  | | | | | | | | | |                e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.61/33.50  | | | | | | | | | |                (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.61/33.50  | | | | | | | | | |                  e2) = all_57_3 & op(e0, e2) = e0 &
% 196.61/33.50  | | | | | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.61/33.50  | | | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 196.61/33.50  | | | | | | | | | |                & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.50  | | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 196.61/33.50  | | | | | | | | | |                e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.61/33.50  | | | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.50  | | | | | | | | | |                  e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.50  | | | | | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.61/33.50  | | | | | | | | | |                e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 196.61/33.50  | | | | | | | | | |                & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.61/33.50  | | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | BETA: splitting (226) gives:
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | |   (227)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.61/33.50  | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.61/33.50  | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.61/33.50  | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.61/33.50  | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.61/33.50  | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.61/33.50  | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.61/33.50  | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.50  | | | | | | | | | | |            $i(all_57_14))
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | REF_CLOSE: (17), (32), (64), (227) are inconsistent by
% 196.61/33.50  | | | | | | | | | | |            sub-proof #1960.
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | |   (228)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.50  | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.50  | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.50  | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.50  | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.61/33.50  | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.61/33.50  | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.50  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.50  | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.50  | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.61/33.50  | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.50  | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.61/33.50  | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.50  | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.61/33.50  | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.61/33.50  | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.50  | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.50  | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.61/33.50  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.61/33.50  | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.61/33.50  | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.61/33.50  | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.61/33.50  | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.61/33.50  | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.61/33.50  | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.61/33.50  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.61/33.50  | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.61/33.50  | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.61/33.50  | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.61/33.50  | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.50  | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | BETA: splitting (228) gives:
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | |   (229)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.50  | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.50  | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.50  | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.50  | | | | | | | | | | | |          $i(all_57_13)
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | ALPHA: (229) implies:
% 196.61/33.50  | | | | | | | | | | | |   (230)   ~ (all_57_12 = e0)
% 196.61/33.50  | | | | | | | | | | | |   (231)  op(e2, e2) = all_57_12
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | REF_CLOSE: (17), (196), (230), (231) are inconsistent by
% 196.61/33.50  | | | | | | | | | | | |            sub-proof #1381.
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | |   (232)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.50  | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.61/33.50  | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 196.61/33.50  | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.50  | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.61/33.50  | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 196.61/33.50  | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.50  | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.61/33.50  | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 196.61/33.50  | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.61/33.50  | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 196.61/33.50  | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.50  | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.61/33.50  | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.61/33.50  | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.50  | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.50  | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 196.61/33.50  | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.50  | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 196.61/33.50  | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.61/33.50  | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.61/33.50  | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.61/33.50  | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.61/33.50  | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 196.61/33.50  | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 196.61/33.50  | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 196.61/33.50  | | | | | | | | | | | |                & $i(all_57_7))))
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | REF_CLOSE: (16), (17), (18), (31), (32), (37), (39), (49),
% 196.61/33.50  | | | | | | | | | | | |            (59), (62), (64), (232) are inconsistent by
% 196.61/33.50  | | | | | | | | | | | |            sub-proof #1629.
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | 
% 196.61/33.50  | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | 
% 196.61/33.50  | | | | | | | |   (233)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.61/33.50  | | | | | | | |            op(e1, e0) = e0)
% 196.61/33.50  | | | | | | | | 
% 196.61/33.50  | | | | | | | | BETA: splitting (233) gives:
% 196.61/33.50  | | | | | | | | 
% 196.61/33.50  | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | |   (234)  all_56_10 = e0 & op(e2, e0) = e0
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | ALPHA: (234) implies:
% 196.61/33.50  | | | | | | | | |   (235)  all_56_10 = e0
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | BETA: splitting (41) gives:
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | |   (236)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 196.61/33.50  | | | | | | | | | |            & op(e2, e2) = e1)
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | BETA: splitting (236) gives:
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | |   (237)  all_56_2 = e1 & op(e2, e3) = e1
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | ALPHA: (237) implies:
% 196.61/33.50  | | | | | | | | | | |   (238)  all_56_2 = e1
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | BETA: splitting (46) gives:
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | |   (239)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (22), (26), (37), (42), (44),
% 196.61/33.50  | | | | | | | | | | | |            (47), (59), (62), (64), (73), (239) are
% 196.61/33.50  | | | | | | | | | | | |            inconsistent by sub-proof #1023.
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | ALPHA: (208) implies:
% 196.61/33.50  | | | | | | | | | | | |   (240)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.61/33.50  | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.61/33.50  | | | | | | | | | | | |              e1) = e0)
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | BETA: splitting (240) gives:
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | ALPHA: (205) implies:
% 196.61/33.50  | | | | | | | | | | | | |   (241)  all_56_12 = e0
% 196.61/33.50  | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | BETA: splitting (40) gives:
% 196.61/33.50  | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | |   (242)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 196.61/33.50  | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | |   (243)  all_56_0 = e0 & op(e3, e3) = e0
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 196.61/33.50  | | | | | | | | | | | | | | |   (244)  op(e3, e3) = e0
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | REF_CLOSE: (17), (32), (64), (244) are inconsistent by
% 196.61/33.50  | | | | | | | | | | | | | | |            sub-proof #1961.
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | |   (245)  all_56_1 = e0 & op(e3, e2) = e0
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 196.61/33.50  | | | | | | | | | | | | | | |   (246)  all_56_1 = e0
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | |   (247)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 196.61/33.50  | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (16), (17), (18), (21), (22), (24),
% 196.61/33.50  | | | | | | | | | | | | | | | |            (35), (37), (38), (39), (41), (42), (44), (47),
% 196.61/33.50  | | | | | | | | | | | | | | | |            (48), (59), (62), (64), (73), (193), (196), (238),
% 196.61/33.50  | | | | | | | | | | | | | | | |            (246), (247) are inconsistent by sub-proof #1016.
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | |   (248)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 196.61/33.50  | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | |   (249)  all_56_7 = e1 & op(e1, e2) = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | |   (250)  all_56_7 = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (16), (17), (18), (27), (39), (47), (59),
% 196.61/33.50  | | | | | | | | | | | | | | | | |            (62), (64), (196), (246), (250) are inconsistent
% 196.61/33.50  | | | | | | | | | | | | | | | | |            by sub-proof #1903.
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | |   (251)  all_56_13 = e1 & op(e0, e2) = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | ALPHA: (251) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | |   (252)  all_56_13 = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | |   (253)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (32), (47), (238), (253) are
% 196.61/33.50  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | |   (254)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 196.61/33.50  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | |   (255)  all_56_6 = e2 & op(e1, e3) = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | |   (256)  all_56_6 = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | |   (257)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e1)
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |   (258)  all_56_6 = e1 & op(e1, e3) = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (256), (258) are inconsistent by sub-proof
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |            #1724.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |   (259)  all_56_7 = e1 & op(e1, e2) = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | ALPHA: (259) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_7 = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (16), (17), (18), (27), (39), (47), (59),
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |            (62), (64), (196), (246), (260) are inconsistent
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1903.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | |   (261)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e0) = e1)
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |   (262)  all_56_8 = e1 & op(e1, e1) = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | ALPHA: (262) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |   (263)  op(e1, e1) = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (37), (42), (263) are inconsistent by
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1959.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |   (264)  all_56_11 = e1 & op(e1, e0) = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | |   (265)  all_56_11 = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | |   (266)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_56_1 = e2 & op(e3, e2) = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_56_1 = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (268) imply:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |   (269)  e2 = e0
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (269) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |   (270)  e2 = e0
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (270) imply:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_56_6 = e0
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (17), (32), (47), (62), (238), (241),
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |            (271) are inconsistent by sub-proof #1014.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_56_3 = e2 & op(e2, e2) = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (272) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |   (273)  op(e2, e2) = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (62), (196), (273) are inconsistent by
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1939.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | |   (274)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_56_7 = e2 & op(e1, e2) = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (33), (275) are inconsistent by sub-proof
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |            #1925.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_56_13 = e2 & op(e0, e2) = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (276) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_56_13 = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (33), (37), (47), (60), (62), (252),
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |            (256), (265), (277) are inconsistent by sub-proof
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | |            #1511.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | |   (278)  all_56_12 = e2 & op(e0, e3) = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | |   (279)  all_56_12 = e2
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (62), (241), (279) are inconsistent by sub-proof
% 196.61/33.50  | | | | | | | | | | | | | | | | | | |            #1852.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | |   (280)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 196.61/33.50  | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (18), (20), (21), (22), (35), (37),
% 196.61/33.50  | | | | | | | | | | | | | |            (38), (39), (41), (42), (44), (47), (48), (51),
% 196.61/33.50  | | | | | | | | | | | | | |            (57), (59), (62), (64), (73), (193), (196), (235),
% 196.61/33.50  | | | | | | | | | | | | | |            (238), (280) are inconsistent by sub-proof #1012.
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | |   (281)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 196.61/33.50  | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 196.61/33.50  | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | BETA: splitting (281) gives:
% 196.61/33.50  | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | |   (282)  all_56_13 = e0 & op(e0, e2) = e0
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | ALPHA: (282) implies:
% 196.61/33.50  | | | | | | | | | | | | | |   (283)  all_56_13 = e0
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | |   (284)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 196.61/33.50  | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | |   (285)  all_56_0 = e0 & op(e3, e3) = e0
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | ALPHA: (285) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | |   (286)  op(e3, e3) = e0
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (32), (64), (286) are inconsistent by
% 196.61/33.50  | | | | | | | | | | | | | | | |            sub-proof #1961.
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | |   (287)  all_56_1 = e0 & op(e3, e2) = e0
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | ALPHA: (287) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | |   (288)  all_56_1 = e0
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | |   (289)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (16), (17), (18), (21), (22), (24),
% 196.61/33.50  | | | | | | | | | | | | | | | | |            (35), (37), (38), (39), (41), (42), (44), (47),
% 196.61/33.50  | | | | | | | | | | | | | | | | |            (48), (59), (62), (64), (73), (193), (196), (238),
% 196.61/33.50  | | | | | | | | | | | | | | | | |            (288), (289) are inconsistent by sub-proof #1016.
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | |   (290)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 196.61/33.50  | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | |   (291)  all_56_7 = e1 & op(e1, e2) = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | |   (292)  all_56_7 = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (16), (17), (18), (27), (39), (47), (59),
% 196.61/33.50  | | | | | | | | | | | | | | | | | |            (62), (64), (196), (288), (292) are inconsistent
% 196.61/33.50  | | | | | | | | | | | | | | | | | |            by sub-proof #1903.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | |   (293)  all_56_13 = e1 & op(e0, e2) = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | ALPHA: (293) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | |   (294)  all_56_13 = e1
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (294) imply:
% 196.61/33.50  | | | | | | | | | | | | | | | | | |   (295)  e1 = e0
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | SIMP: (295) implies:
% 196.61/33.50  | | | | | | | | | | | | | | | | | |   (296)  e1 = e0
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (238), (296) imply:
% 196.61/33.50  | | | | | | | | | | | | | | | | | |   (297)  all_56_2 = e0
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (18), (35), (38), (39), (41), (42),
% 196.61/33.50  | | | | | | | | | | | | | | | | | |            (47), (48), (59), (62), (64), (73), (193), (196),
% 196.61/33.50  | | | | | | | | | | | | | | | | | |            (297) are inconsistent by sub-proof #1701.
% 196.61/33.50  | | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | |   (298)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 196.61/33.50  | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (18), (20), (21), (22), (35), (37),
% 196.61/33.50  | | | | | | | | | | | | | | |            (38), (39), (41), (42), (44), (47), (48), (51),
% 196.61/33.50  | | | | | | | | | | | | | | |            (57), (59), (62), (64), (73), (193), (196), (235),
% 196.61/33.50  | | | | | | | | | | | | | | |            (238), (298) are inconsistent by sub-proof #1012.
% 196.61/33.50  | | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | |   (299)  all_56_14 = e0 & op(e0, e1) = e0
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | ALPHA: (299) implies:
% 196.61/33.50  | | | | | | | | | | | | | |   (300)  op(e0, e1) = e0
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | | REF_CLOSE: (17), (31), (49), (300) are inconsistent by
% 196.61/33.50  | | | | | | | | | | | | | |            sub-proof #1931.
% 196.61/33.50  | | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | |   (301)  all_56_3 = e1 & op(e2, e2) = e1
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | ALPHA: (301) implies:
% 196.61/33.50  | | | | | | | | | | |   (302)  op(e2, e2) = e1
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | REF_CLOSE: (17), (42), (196), (302) are inconsistent by
% 196.61/33.50  | | | | | | | | | | |            sub-proof #1909.
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | |   (303)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1
% 196.61/33.50  | | | | | | | | | |            & op(e2, e0) = e1)
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | BETA: splitting (303) gives:
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | Case 1:
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | |   (304)  all_56_5 = e1 & op(e2, e1) = e1
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | REF_CLOSE: (59), (73), (304) are inconsistent by sub-proof
% 196.61/33.50  | | | | | | | | | | |            #1749.
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | |   (305)  all_56_10 = e1 & op(e2, e0) = e1
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | ALPHA: (305) implies:
% 196.61/33.50  | | | | | | | | | | |   (306)  all_56_10 = e1
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | | REF_CLOSE: (42), (235), (306) are inconsistent by sub-proof
% 196.61/33.50  | | | | | | | | | | |            #1411.
% 196.61/33.50  | | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | Case 2:
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | |   (307)  all_56_11 = e0 & op(e1, e0) = e0
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | ALPHA: (307) implies:
% 196.61/33.50  | | | | | | | | |   (308)  op(e1, e0) = e0
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | | REF_CLOSE: (8), (17), (25), (308) are inconsistent by
% 196.61/33.50  | | | | | | | | |            sub-proof #1884.
% 196.61/33.50  | | | | | | | | | 
% 196.61/33.50  | | | | | | | | End of split
% 196.61/33.50  | | | | | | | | 
% 196.61/33.50  | | | | | | | End of split
% 196.61/33.50  | | | | | | | 
% 196.61/33.50  | | | | | | End of split
% 196.61/33.50  | | | | | | 
% 196.61/33.50  | | | | | End of split
% 196.61/33.50  | | | | | 
% 196.61/33.50  | | | | End of split
% 196.61/33.50  | | | | 
% 196.61/33.50  | | | End of split
% 196.61/33.50  | | | 
% 196.61/33.50  | | Case 2:
% 196.61/33.50  | | | 
% 196.61/33.50  | | |   (309)  all_56_10 = e3 & op(e2, e0) = e3
% 196.61/33.50  | | | 
% 196.61/33.50  | | | REF_CLOSE: (6), (17), (24), (309) are inconsistent by sub-proof #1456.
% 196.61/33.50  | | | 
% 196.61/33.50  | | End of split
% 196.61/33.50  | | 
% 196.61/33.50  | End of split
% 196.61/33.50  | 
% 196.61/33.50  End of proof
% 196.61/33.50  
% 196.61/33.50  Sub-proof #1012 shows that the following formulas are inconsistent:
% 196.61/33.50  ----------------------------------------------------------------
% 196.61/33.50    (1)   ~ (e3 = e2)
% 196.61/33.50    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.50    (3)  op(e2, e2) = all_4_2
% 196.61/33.50    (4)  all_56_5 = e3
% 196.61/33.50    (5)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 196.61/33.50         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.61/33.50    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.50         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.50    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.50         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.50    (8)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.61/33.50           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.61/33.50             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.61/33.50    (9)  op(e1, e1) = e0
% 196.61/33.50    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.50          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.61/33.50    (11)   ~ (all_4_2 = e3)
% 196.61/33.50    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.61/33.50    (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.50          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.61/33.50    (14)  all_56_10 = e0
% 196.61/33.50    (15)   ~ (e1 = e0)
% 196.61/33.50    (16)  all_56_2 = e1
% 196.61/33.50    (17)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.50          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.50    (18)  all_36_2 = e0
% 196.61/33.50    (19)   ~ (e2 = e1)
% 196.61/33.50    (20)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.50          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.61/33.50    (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.61/33.50          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.61/33.50    (22)  op(e0, e0) = e3
% 196.61/33.50    (23)  op(e2, e2) = e0
% 196.61/33.50    (24)   ~ (e3 = e1)
% 196.61/33.50    (25)   ~ (e2 = e0)
% 196.61/33.50    (26)   ~ (e3 = e0)
% 196.61/33.50  
% 196.61/33.50  Begin of proof
% 196.61/33.50  | 
% 196.61/33.50  | BETA: splitting (12) gives:
% 196.61/33.50  | 
% 196.61/33.50  | Case 1:
% 196.61/33.50  | | 
% 196.61/33.50  | |   (27)  all_56_4 = e0 & op(e3, e1) = e0
% 196.61/33.50  | | 
% 196.61/33.50  | | ALPHA: (27) implies:
% 196.61/33.50  | |   (28)  all_56_4 = e0
% 196.61/33.50  | | 
% 196.61/33.50  | | REF_CLOSE: (1), (2), (6), (7), (9), (15), (17), (19), (24), (25), (26), (28)
% 196.61/33.50  | |            are inconsistent by sub-proof #1809.
% 196.61/33.50  | | 
% 196.61/33.50  | Case 2:
% 196.61/33.50  | | 
% 196.61/33.50  | |   (29)  all_56_9 = e0 & op(e3, e0) = e0
% 196.61/33.50  | | 
% 196.61/33.50  | | ALPHA: (29) implies:
% 196.61/33.50  | |   (30)  all_56_9 = e0
% 196.61/33.50  | | 
% 196.61/33.50  | | BETA: splitting (5) gives:
% 196.61/33.50  | | 
% 196.61/33.50  | | Case 1:
% 196.61/33.50  | | | 
% 196.61/33.50  | | |   (31)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 196.61/33.50  | | |           e1)
% 196.61/33.50  | | | 
% 196.61/33.50  | | | BETA: splitting (31) gives:
% 196.61/33.50  | | | 
% 196.61/33.50  | | | Case 1:
% 196.61/33.50  | | | | 
% 196.61/33.51  | | | |   (32)  all_56_9 = e1 & op(e3, e0) = e1
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | ALPHA: (32) implies:
% 196.61/33.51  | | | |   (33)  all_56_9 = e1
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | COMBINE_EQS: (30), (33) imply:
% 196.61/33.51  | | | |   (34)  e1 = e0
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | SIMP: (34) implies:
% 196.61/33.51  | | | |   (35)  e1 = e0
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | COMBINE_EQS: (16), (35) imply:
% 196.61/33.51  | | | |   (36)  all_56_2 = e0
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | REF_CLOSE: (1), (2), (3), (4), (8), (10), (11), (13), (15), (18), (19),
% 196.61/33.51  | | | |            (20), (23), (24), (25), (26), (36) are inconsistent by
% 196.61/33.51  | | | |            sub-proof #1701.
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | Case 2:
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | |   (37)  all_56_10 = e1 & op(e2, e0) = e1
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | ALPHA: (37) implies:
% 196.61/33.51  | | | |   (38)  all_56_10 = e1
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | COMBINE_EQS: (14), (38) imply:
% 196.61/33.51  | | | |   (39)  e1 = e0
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | SIMP: (39) implies:
% 196.61/33.51  | | | |   (40)  e1 = e0
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | COMBINE_EQS: (16), (40) imply:
% 196.61/33.51  | | | |   (41)  all_56_2 = e0
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | REF_CLOSE: (1), (2), (3), (4), (8), (10), (11), (13), (15), (18), (19),
% 196.61/33.51  | | | |            (20), (23), (24), (25), (26), (41) are inconsistent by
% 196.61/33.51  | | | |            sub-proof #1701.
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | End of split
% 196.61/33.51  | | | 
% 196.61/33.51  | | Case 2:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (42)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0)
% 196.61/33.51  | | |           = e1)
% 196.61/33.51  | | | 
% 196.61/33.51  | | | BETA: splitting (42) gives:
% 196.61/33.51  | | | 
% 196.61/33.51  | | | Case 1:
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | |   (43)  all_56_11 = e1 & op(e1, e0) = e1
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | ALPHA: (43) implies:
% 196.61/33.51  | | | |   (44)  all_56_11 = e1
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | REF_CLOSE: (1), (2), (14), (19), (21), (22), (25), (30), (44) are
% 196.61/33.51  | | | |            inconsistent by sub-proof #1013.
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | Case 2:
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | |   (45)  all_56_15 = e1 & op(e0, e0) = e1
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | ALPHA: (45) implies:
% 196.61/33.51  | | | |   (46)  op(e0, e0) = e1
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | REF_CLOSE: (2), (22), (24), (46) are inconsistent by sub-proof #1392.
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | End of split
% 196.61/33.51  | | | 
% 196.61/33.51  | | End of split
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1013 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)  all_56_11 = e1
% 196.61/33.51    (2)   ~ (e3 = e2)
% 196.61/33.51    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (4)  all_56_9 = e0
% 196.61/33.51    (5)  all_56_10 = e0
% 196.61/33.51    (6)   ~ (e2 = e1)
% 196.61/33.51    (7)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.61/33.51         (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.61/33.51    (8)  op(e0, e0) = e3
% 196.61/33.51    (9)   ~ (e2 = e0)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (7) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (10)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 196.61/33.51  | |           e2)
% 196.61/33.51  | | 
% 196.61/33.51  | | BETA: splitting (10) gives:
% 196.61/33.51  | | 
% 196.61/33.51  | | Case 1:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (11)  all_56_9 = e2 & op(e3, e0) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | ALPHA: (11) implies:
% 196.61/33.51  | | |   (12)  all_56_9 = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (4), (9), (12) are inconsistent by sub-proof #1919.
% 196.61/33.51  | | | 
% 196.61/33.51  | | Case 2:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (13)  all_56_10 = e2 & op(e2, e0) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | ALPHA: (13) implies:
% 196.61/33.51  | | |   (14)  all_56_10 = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (5), (9), (14) are inconsistent by sub-proof #1342.
% 196.61/33.51  | | | 
% 196.61/33.51  | | End of split
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (15)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.61/33.51  | |           e2)
% 196.61/33.51  | | 
% 196.61/33.51  | | BETA: splitting (15) gives:
% 196.61/33.51  | | 
% 196.61/33.51  | | Case 1:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (16)  all_56_11 = e2 & op(e1, e0) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | ALPHA: (16) implies:
% 196.61/33.51  | | |   (17)  all_56_11 = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (1), (6), (17) are inconsistent by sub-proof #1615.
% 196.61/33.51  | | | 
% 196.61/33.51  | | Case 2:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (18)  all_56_15 = e2 & op(e0, e0) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | ALPHA: (18) implies:
% 196.61/33.51  | | |   (19)  op(e0, e0) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (2), (3), (8), (19) are inconsistent by sub-proof #1692.
% 196.61/33.51  | | | 
% 196.61/33.51  | | End of split
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1014 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.61/33.51         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.61/33.51    (2)   ~ (e3 = e2)
% 196.61/33.51    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (4)  all_56_6 = e0
% 196.61/33.51    (5)  op(e3, e3) = e3
% 196.61/33.51    (6)  all_56_2 = e1
% 196.61/33.51    (7)   ~ (e2 = e1)
% 196.61/33.51    (8)  all_56_12 = e0
% 196.61/33.51    (9)   ~ (e2 = e0)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (1) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 196.61/33.51  | |           e2)
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (2), (3), (5), (6), (7), (10) are inconsistent by sub-proof
% 196.61/33.51  | |            #1015.
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 196.61/33.51  | |           e2)
% 196.61/33.51  | | 
% 196.61/33.51  | | BETA: splitting (11) gives:
% 196.61/33.51  | | 
% 196.61/33.51  | | Case 1:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (12)  all_56_6 = e2 & op(e1, e3) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (4), (9), (12) are inconsistent by sub-proof #1196.
% 196.61/33.51  | | | 
% 196.61/33.51  | | Case 2:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (13)  all_56_12 = e2 & op(e0, e3) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | ALPHA: (13) implies:
% 196.61/33.51  | | |   (14)  all_56_12 = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (8), (9), (14) are inconsistent by sub-proof #1852.
% 196.61/33.51  | | | 
% 196.61/33.51  | | End of split
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1015 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)   ~ (e3 = e2)
% 196.61/33.51    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (3)  op(e3, e3) = e3
% 196.61/33.51    (4)  all_56_2 = e1
% 196.61/33.51    (5)   ~ (e2 = e1)
% 196.61/33.51    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (6) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (7) implies:
% 196.61/33.51  | |   (8)  op(e3, e3) = e2
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1957.
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (9) implies:
% 196.61/33.51  | |   (10)  all_56_2 = e2
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (4), (5), (10) are inconsistent by sub-proof #1855.
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1016 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)   ~ (all_52_13 = e3)
% 196.61/33.51    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.61/33.51         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.61/33.51    (3)   ~ (e3 = e2)
% 196.61/33.51    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (5)  op(e2, e2) = all_4_2
% 196.61/33.51    (6)  all_56_5 = e3
% 196.61/33.51    (7)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.51         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.51    (8)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.51         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.51    (9)  op(e2, e0) = all_52_13
% 196.61/33.51    (10)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 196.61/33.51    (11)  all_56_1 = e0
% 196.61/33.51    (12)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.61/33.51            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.61/33.51              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.61/33.51    (13)  op(e1, e1) = e0
% 196.61/33.51    (14)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.51          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.61/33.51    (15)   ~ (all_4_2 = e3)
% 196.61/33.51    (16)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.51          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.61/33.51    (17)   ~ (e1 = e0)
% 196.61/33.51    (18)  all_56_2 = e1
% 196.61/33.51    (19)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.51          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.51    (20)  all_36_2 = e0
% 196.61/33.51    (21)   ~ (e2 = e1)
% 196.61/33.51    (22)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.51          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.61/33.51    (23)  op(e2, e2) = e0
% 196.61/33.51    (24)   ~ (e3 = e1)
% 196.61/33.51    (25)   ~ (e2 = e0)
% 196.61/33.51    (26)   ~ (e3 = e0)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (10) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (27)  all_56_1 = e1 & op(e3, e2) = e1
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (27) implies:
% 196.61/33.51  | |   (28)  all_56_1 = e1
% 196.61/33.51  | | 
% 196.61/33.51  | | COMBINE_EQS: (11), (28) imply:
% 196.61/33.51  | |   (29)  e1 = e0
% 196.61/33.51  | | 
% 196.61/33.51  | | SIMP: (29) implies:
% 196.61/33.51  | |   (30)  e1 = e0
% 196.61/33.51  | | 
% 196.61/33.51  | | COMBINE_EQS: (18), (30) imply:
% 196.61/33.51  | |   (31)  all_56_2 = e0
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (3), (4), (5), (6), (12), (14), (15), (16), (17), (20), (21),
% 196.61/33.51  | |            (22), (23), (24), (25), (26), (31) are inconsistent by sub-proof
% 196.61/33.51  | |            #1701.
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (32)  all_56_3 = e1 & op(e2, e2) = e1
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (32) implies:
% 196.61/33.51  | |   (33)  op(e2, e2) = e1
% 196.61/33.51  | | 
% 196.61/33.51  | | BETA: splitting (14) gives:
% 196.61/33.51  | | 
% 196.61/33.51  | | Case 1:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (34)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 196.61/33.51  | | |           e3)
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (4), (18), (24), (33), (34) are inconsistent by sub-proof
% 196.61/33.51  | | |            #1021.
% 196.61/33.51  | | | 
% 196.61/33.51  | | Case 2:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (35)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 196.61/33.51  | | |           e3)
% 196.61/33.51  | | | 
% 196.61/33.51  | | | BETA: splitting (35) gives:
% 196.61/33.51  | | | 
% 196.61/33.51  | | | Case 1:
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | |   (36)  all_56_5 = e3 & op(e2, e1) = e3
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (13), (17), (18), (19), (21),
% 196.61/33.51  | | | |            (22), (24), (25), (26), (33) are inconsistent by sub-proof
% 196.61/33.51  | | | |            #1017.
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | Case 2:
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | |   (37)  all_56_10 = e3 & op(e2, e0) = e3
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | | REF_CLOSE: (1), (4), (9), (37) are inconsistent by sub-proof #1456.
% 196.61/33.51  | | | | 
% 196.61/33.51  | | | End of split
% 196.61/33.51  | | | 
% 196.61/33.51  | | End of split
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1017 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.61/33.51         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.61/33.51    (2)   ~ (e3 = e2)
% 196.61/33.51    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (4)  op(e2, e2) = e1
% 196.61/33.51    (5)  all_56_5 = e3
% 196.61/33.51    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.51         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.51    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.51         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.51    (8)  op(e1, e1) = e0
% 196.61/33.51    (9)   ~ (e1 = e0)
% 196.61/33.51    (10)  all_56_2 = e1
% 196.61/33.51    (11)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.51          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.51    (12)   ~ (e2 = e1)
% 196.61/33.51    (13)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.51          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.61/33.51    (14)   ~ (e3 = e1)
% 196.61/33.51    (15)   ~ (e2 = e0)
% 196.61/33.51    (16)   ~ (e3 = e0)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (13) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 196.61/33.51  | |           e2)
% 196.61/33.51  | | 
% 196.61/33.51  | | BETA: splitting (17) gives:
% 196.61/33.51  | | 
% 196.61/33.51  | | Case 1:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (18)  all_56_2 = e2 & op(e2, e3) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (10), (12), (18) are inconsistent by sub-proof #1304.
% 196.61/33.51  | | | 
% 196.61/33.51  | | Case 2:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (19)  all_56_3 = e2 & op(e2, e2) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | ALPHA: (19) implies:
% 196.61/33.51  | | |   (20)  op(e2, e2) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (3), (4), (12), (20) are inconsistent by sub-proof #1783.
% 196.61/33.51  | | | 
% 196.61/33.51  | | End of split
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (21)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 196.61/33.51  | |           e2)
% 196.61/33.51  | | 
% 196.61/33.51  | | BETA: splitting (21) gives:
% 196.61/33.51  | | 
% 196.61/33.51  | | Case 1:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (22)  all_56_5 = e2 & op(e2, e1) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | ALPHA: (22) implies:
% 196.61/33.51  | | |   (23)  all_56_5 = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (2), (5), (23) are inconsistent by sub-proof #1735.
% 196.61/33.51  | | | 
% 196.61/33.51  | | Case 2:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (24)  all_56_10 = e2 & op(e2, e0) = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | ALPHA: (24) implies:
% 196.61/33.51  | | |   (25)  all_56_10 = e2
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14),
% 196.61/33.51  | | |            (15), (16), (25) are inconsistent by sub-proof #1018.
% 196.61/33.51  | | | 
% 196.61/33.51  | | End of split
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1018 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.61/33.51         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.61/33.51    (2)   ~ (e3 = e2)
% 196.61/33.51    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (4)  all_56_10 = e2
% 196.61/33.51    (5)  op(e2, e2) = e1
% 196.61/33.51    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.51         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.51    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.51         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.51    (8)  op(e1, e1) = e0
% 196.61/33.51    (9)   ~ (e1 = e0)
% 196.61/33.51    (10)  all_56_2 = e1
% 196.61/33.51    (11)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.51          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.51    (12)   ~ (e2 = e1)
% 196.61/33.51    (13)   ~ (e3 = e1)
% 196.61/33.51    (14)   ~ (e2 = e0)
% 196.61/33.51    (15)   ~ (e3 = e0)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (1) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (16)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 196.61/33.51  | |           e0)
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (3), (5), (9), (10), (16) are inconsistent by sub-proof #1020.
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (17)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.61/33.51  | |           e0)
% 196.61/33.51  | | 
% 196.61/33.51  | | BETA: splitting (17) gives:
% 196.61/33.51  | | 
% 196.61/33.51  | | Case 1:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (18)  all_56_5 = e0 & op(e2, e1) = e0
% 196.61/33.51  | | | 
% 196.61/33.51  | | | ALPHA: (18) implies:
% 196.61/33.51  | | |   (19)  all_56_5 = e0
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (11), (12), (13), (14), (15),
% 196.61/33.51  | | |            (19) are inconsistent by sub-proof #1551.
% 196.61/33.51  | | | 
% 196.61/33.51  | | Case 2:
% 196.61/33.51  | | | 
% 196.61/33.51  | | |   (20)  all_56_10 = e0 & op(e2, e0) = e0
% 196.61/33.51  | | | 
% 196.61/33.51  | | | REF_CLOSE: (4), (14), (20) are inconsistent by sub-proof #1019.
% 196.61/33.51  | | | 
% 196.61/33.51  | | End of split
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1019 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)  all_56_10 = e0 & op(e2, e0) = e0
% 196.61/33.51    (2)  all_56_10 = e2
% 196.61/33.51    (3)   ~ (e2 = e0)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | ALPHA: (1) implies:
% 196.61/33.51  |   (4)  all_56_10 = e0
% 196.61/33.51  | 
% 196.61/33.51  | COMBINE_EQS: (2), (4) imply:
% 196.61/33.51  |   (5)  e2 = e0
% 196.61/33.51  | 
% 196.61/33.51  | REDUCE: (3), (5) imply:
% 196.61/33.51  |   (6)  $false
% 196.61/33.51  | 
% 196.61/33.51  | CLOSE: (6) is inconsistent.
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1020 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 196.61/33.51    (3)  op(e2, e2) = e1
% 196.61/33.51    (4)   ~ (e1 = e0)
% 196.61/33.51    (5)  all_56_2 = e1
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (2) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (6)  all_56_2 = e0 & op(e2, e3) = e0
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #1858.
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (7)  all_56_3 = e0 & op(e2, e2) = e0
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (7) implies:
% 196.61/33.51  | |   (8)  op(e2, e2) = e0
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1909.
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1021 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 196.61/33.51    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (3)  op(e2, e2) = e1
% 196.61/33.51    (4)  all_56_2 = e1
% 196.61/33.51    (5)   ~ (e3 = e1)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (1) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (6)  all_56_2 = e3 & op(e2, e3) = e3
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (6) implies:
% 196.61/33.51  | |   (7)  all_56_2 = e3
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #1859.
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (8)  all_56_3 = e3 & op(e2, e2) = e3
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (8) implies:
% 196.61/33.51  | |   (9)  op(e2, e2) = e3
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1679.
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1022 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (2)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 196.61/33.51             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.61/33.51           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 196.61/33.51           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 196.61/33.51             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 196.61/33.51             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.61/33.51    (3)  op(e2, e2) = all_4_2
% 196.61/33.51    (4)  op(e0, e3) = e0
% 196.61/33.51    (5)   ~ (all_4_2 = e3)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (2) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (6)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 196.61/33.51  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.61/33.51  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (6) implies:
% 196.61/33.51  | |   (7)  op(e2, e2) = e3
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #1975.
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (8)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 196.61/33.51  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.61/33.51  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (8) implies:
% 196.61/33.51  | |   (9)   ~ (all_57_2 = e0)
% 196.61/33.51  | |   (10)  op(e0, e3) = all_57_2
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (1), (4), (9), (10) are inconsistent by sub-proof #1526.
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1023 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)   ~ (e3 = e2)
% 196.61/33.51    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (3)  all_56_5 = e3
% 196.61/33.51    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.51         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.51    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.51         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.51    (6)  all_56_15 = e3
% 196.61/33.51    (7)  op(e1, e1) = e0
% 196.61/33.51    (8)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.51    (9)   ~ (e1 = e0)
% 196.61/33.51    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.51          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.51    (11)   ~ (e2 = e1)
% 196.61/33.51    (12)   ~ (e3 = e1)
% 196.61/33.51    (13)   ~ (e2 = e0)
% 196.61/33.51    (14)   ~ (e3 = e0)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | ALPHA: (8) implies:
% 196.61/33.51  |   (15)  all_56_15 = e0
% 196.61/33.51  | 
% 196.61/33.51  | COMBINE_EQS: (6), (15) imply:
% 196.61/33.51  |   (16)  e3 = e0
% 196.61/33.51  | 
% 196.61/33.51  | SIMP: (16) implies:
% 196.61/33.51  |   (17)  e3 = e0
% 196.61/33.51  | 
% 196.61/33.51  | COMBINE_EQS: (3), (17) imply:
% 196.61/33.51  |   (18)  all_56_5 = e0
% 196.61/33.51  | 
% 196.61/33.51  | REF_CLOSE: (1), (2), (4), (5), (7), (9), (10), (11), (12), (13), (14), (18)
% 196.61/33.51  |            are inconsistent by sub-proof #1551.
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1024 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)   ~ (e3 = e2)
% 196.61/33.51    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (3)   ~ (e2 = e1)
% 196.61/33.51    (4)  op(e2, e2) = e2
% 196.61/33.51    (5)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.61/33.51             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.61/33.51           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.61/33.51           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 196.61/33.51           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 196.61/33.51           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.51    (6)  op(e0, e0) = e3
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (5) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (7)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.61/33.51  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.61/33.51  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (7) implies:
% 196.61/33.51  | |   (8)  op(e0, e0) = e2
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1692.
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 196.61/33.51  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.61/33.51  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (9) implies:
% 196.61/33.51  | |   (10)  op(e2, e2) = e1
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1783.
% 196.61/33.51  | | 
% 196.61/33.51  | End of split
% 196.61/33.51  | 
% 196.61/33.51  End of proof
% 196.61/33.51  
% 196.61/33.51  Sub-proof #1025 shows that the following formulas are inconsistent:
% 196.61/33.51  ----------------------------------------------------------------
% 196.61/33.51    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.51    (2)  all_56_13 = e2
% 196.61/33.51    (3)   ~ (all_57_2 = e0)
% 196.61/33.51    (4)  op(e0, e1) = all_52_11
% 196.61/33.51    (5)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.61/33.51         (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.51    (6)   ~ (all_52_11 = e0)
% 196.61/33.51    (7)  op(e0, e3) = all_57_2
% 196.61/33.51    (8)   ~ (e2 = e0)
% 196.61/33.51  
% 196.61/33.51  Begin of proof
% 196.61/33.51  | 
% 196.61/33.51  | BETA: splitting (5) gives:
% 196.61/33.51  | 
% 196.61/33.51  | Case 1:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (9)  all_56_12 = e0 & op(e0, e3) = e0
% 196.61/33.51  | | 
% 196.61/33.51  | | ALPHA: (9) implies:
% 196.61/33.51  | |   (10)  op(e0, e3) = e0
% 196.61/33.51  | | 
% 196.61/33.51  | | REF_CLOSE: (1), (3), (7), (10) are inconsistent by sub-proof #1526.
% 196.61/33.51  | | 
% 196.61/33.51  | Case 2:
% 196.61/33.51  | | 
% 196.61/33.51  | |   (11)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 196.61/33.51  | |           e0)
% 196.61/33.51  | | 
% 196.61/33.52  | | REF_CLOSE: (1), (2), (4), (6), (8), (11) are inconsistent by sub-proof
% 196.61/33.52  | |            #1026.
% 196.61/33.52  | | 
% 196.61/33.52  | End of split
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1026 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (3)  all_56_13 = e2
% 196.61/33.52    (4)  op(e0, e1) = all_52_11
% 196.61/33.52    (5)   ~ (all_52_11 = e0)
% 196.61/33.52    (6)   ~ (e2 = e0)
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | BETA: splitting (1) gives:
% 196.61/33.52  | 
% 196.61/33.52  | Case 1:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (7)  all_56_13 = e0 & op(e0, e2) = e0
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (3), (6), (7) are inconsistent by sub-proof #1208.
% 196.61/33.52  | | 
% 196.61/33.52  | Case 2:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (8)  all_56_14 = e0 & op(e0, e1) = e0
% 196.61/33.52  | | 
% 196.61/33.52  | | ALPHA: (8) implies:
% 196.61/33.52  | |   (9)  op(e0, e1) = e0
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1931.
% 196.61/33.52  | | 
% 196.61/33.52  | End of split
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1027 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)   ~ (e3 = e2)
% 196.61/33.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (3)  op(e2, e2) = all_4_2
% 196.61/33.52    (4)  op(e0, e2) = e0
% 196.61/33.52    (5)   ~ (all_4_2 = e3)
% 196.61/33.52    (6)  op(e0, e0) = e3
% 196.61/33.52    (7)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.61/33.52           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.61/33.52           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.61/33.52                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.61/33.52               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.61/33.52               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.52           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.61/33.52           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.52               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.61/33.52           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.61/33.52               = all_57_2 & $i(all_57_2))))
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | BETA: splitting (7) gives:
% 196.61/33.52  | 
% 196.61/33.52  | Case 1:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (8)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.61/33.52  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.61/33.52  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.61/33.52  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 196.61/33.52  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 196.61/33.52  | |            & $i(all_57_5)))
% 196.61/33.52  | | 
% 196.61/33.52  | | ALPHA: (8) implies:
% 196.61/33.52  | |   (9)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.61/33.52  | |          = all_57_5 & $i(all_57_5))
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (1), (2), (4), (6), (9) are inconsistent by sub-proof #1028.
% 196.61/33.52  | | 
% 196.61/33.52  | Case 2:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (10)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 196.61/33.52  | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.61/33.52  | |         $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 196.61/33.52  | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 196.61/33.52  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.61/33.52  | |             all_57_2 & $i(all_57_2)))
% 196.61/33.52  | | 
% 196.61/33.52  | | ALPHA: (10) implies:
% 196.61/33.52  | |   (11)  op(e2, e2) = e3
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (2), (3), (5), (11) are inconsistent by sub-proof #1975.
% 196.61/33.52  | | 
% 196.61/33.52  | End of split
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1028 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)   ~ (e3 = e2)
% 196.61/33.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (3)  op(e0, e2) = e0
% 196.61/33.52    (4)  (all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.61/33.52           all_57_5 & $i(all_57_5))
% 196.61/33.52    (5)  op(e0, e0) = e3
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | BETA: splitting (4) gives:
% 196.61/33.52  | 
% 196.61/33.52  | Case 1:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (6)  all_57_15 = e2 & op(e0, e0) = e2
% 196.61/33.52  | | 
% 196.61/33.52  | | ALPHA: (6) implies:
% 196.61/33.52  | |   (7)  op(e0, e0) = e2
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1692.
% 196.61/33.52  | | 
% 196.61/33.52  | Case 2:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (8)   ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)
% 196.61/33.52  | | 
% 196.61/33.52  | | ALPHA: (8) implies:
% 196.61/33.52  | |   (9)   ~ (all_57_5 = e0)
% 196.61/33.52  | |   (10)  op(e0, e2) = all_57_5
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (2), (3), (9), (10) are inconsistent by sub-proof #1589.
% 196.61/33.52  | | 
% 196.61/33.52  | End of split
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1029 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)   ~ (e3 = e2)
% 196.61/33.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (3)  all_56_5 = e3
% 196.61/33.52    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.52         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.52    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.52         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.52    (6)  all_56_15 = e3
% 196.61/33.52    (7)  op(e1, e1) = e0
% 196.61/33.52    (8)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.52    (9)   ~ (e1 = e0)
% 196.61/33.52    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.52          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.52    (11)   ~ (e2 = e1)
% 196.61/33.52    (12)   ~ (e3 = e1)
% 196.61/33.52    (13)   ~ (e2 = e0)
% 196.61/33.52    (14)   ~ (e3 = e0)
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | ALPHA: (8) implies:
% 196.61/33.52  |   (15)  all_56_15 = e0
% 196.61/33.52  | 
% 196.61/33.52  | COMBINE_EQS: (6), (15) imply:
% 196.61/33.52  |   (16)  e3 = e0
% 196.61/33.52  | 
% 196.61/33.52  | COMBINE_EQS: (3), (16) imply:
% 196.61/33.52  |   (17)  all_56_5 = e0
% 196.61/33.52  | 
% 196.61/33.52  | REF_CLOSE: (1), (2), (4), (5), (7), (9), (10), (11), (12), (13), (14), (17)
% 196.61/33.52  |            are inconsistent by sub-proof #1551.
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1030 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)  all_56_9 = e1
% 196.61/33.52    (2)  all_56_9 = e0
% 196.61/33.52    (3)   ~ (e1 = e0)
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | COMBINE_EQS: (1), (2) imply:
% 196.61/33.52  |   (4)  e1 = e0
% 196.61/33.52  | 
% 196.61/33.52  | SIMP: (4) implies:
% 196.61/33.52  |   (5)  e1 = e0
% 196.61/33.52  | 
% 196.61/33.52  | REDUCE: (3), (5) imply:
% 196.61/33.52  |   (6)  $false
% 196.61/33.52  | 
% 196.61/33.52  | CLOSE: (6) is inconsistent.
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1031 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)   ~ (e3 = e2)
% 196.61/33.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (3)  all_56_5 = e3
% 196.61/33.52    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.52         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.52    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.52         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.52    (6)  op(e3, e3) = e3
% 196.61/33.52    (7)  op(e1, e1) = e0
% 196.61/33.52    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.61/33.52         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.61/33.52    (9)   ~ (e1 = e0)
% 196.61/33.52    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.52          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.52    (11)   ~ (e2 = e1)
% 196.61/33.52    (12)  all_56_9 = e2 & op(e3, e0) = e2
% 196.61/33.52    (13)  all_56_1 = e3
% 196.61/33.52    (14)   ~ (e3 = e1)
% 196.61/33.52    (15)   ~ (e2 = e0)
% 196.61/33.52    (16)   ~ (e3 = e0)
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | ALPHA: (12) implies:
% 196.61/33.52  |   (17)  all_56_9 = e2
% 196.61/33.52  | 
% 196.61/33.52  | BETA: splitting (8) gives:
% 196.61/33.52  | 
% 196.61/33.52  | Case 1:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 196.61/33.52  | |           e0)
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (13), (14),
% 196.61/33.52  | |            (15), (16), (18) are inconsistent by sub-proof #1032.
% 196.61/33.52  | | 
% 196.61/33.52  | Case 2:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 196.61/33.52  | |           e0)
% 196.61/33.52  | | 
% 196.61/33.52  | | BETA: splitting (19) gives:
% 196.61/33.52  | | 
% 196.61/33.52  | | Case 1:
% 196.61/33.52  | | | 
% 196.61/33.52  | | |   (20)  all_56_4 = e0 & op(e3, e1) = e0
% 196.61/33.52  | | | 
% 196.61/33.52  | | | ALPHA: (20) implies:
% 196.61/33.52  | | |   (21)  all_56_4 = e0
% 196.61/33.52  | | | 
% 196.61/33.52  | | | REF_CLOSE: (1), (2), (4), (5), (7), (9), (10), (11), (14), (15), (16),
% 196.61/33.52  | | |            (21) are inconsistent by sub-proof #1809.
% 196.61/33.52  | | | 
% 196.61/33.52  | | Case 2:
% 196.61/33.52  | | | 
% 196.61/33.52  | | |   (22)  all_56_9 = e0 & op(e3, e0) = e0
% 196.61/33.52  | | | 
% 196.61/33.52  | | | ALPHA: (22) implies:
% 196.61/33.52  | | |   (23)  all_56_9 = e0
% 196.61/33.52  | | | 
% 196.61/33.52  | | | REF_CLOSE: (15), (17), (23) are inconsistent by sub-proof #1919.
% 196.61/33.52  | | | 
% 196.61/33.52  | | End of split
% 196.61/33.52  | | 
% 196.61/33.52  | End of split
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1032 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)   ~ (e3 = e2)
% 196.61/33.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (3)  all_56_5 = e3
% 196.61/33.52    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.52         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.52    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.52         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.52    (6)  op(e3, e3) = e3
% 196.61/33.52    (7)  op(e1, e1) = e0
% 196.61/33.52    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 196.61/33.52    (9)   ~ (e1 = e0)
% 196.61/33.52    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.52          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.52    (11)   ~ (e2 = e1)
% 196.61/33.52    (12)  all_56_1 = e3
% 196.61/33.52    (13)   ~ (e3 = e1)
% 196.61/33.52    (14)   ~ (e2 = e0)
% 196.61/33.52    (15)   ~ (e3 = e0)
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | BETA: splitting (8) gives:
% 196.61/33.52  | 
% 196.61/33.52  | Case 1:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (16)  all_56_0 = e0 & op(e3, e3) = e0
% 196.61/33.52  | | 
% 196.61/33.52  | | ALPHA: (16) implies:
% 196.61/33.52  | |   (17)  op(e3, e3) = e0
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (2), (6), (15), (17) are inconsistent by sub-proof #1961.
% 196.61/33.52  | | 
% 196.61/33.52  | Case 2:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (18)  all_56_1 = e0 & op(e3, e2) = e0
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (12), (13), (14),
% 196.61/33.52  | |            (15), (18) are inconsistent by sub-proof #1033.
% 196.61/33.52  | | 
% 196.61/33.52  | End of split
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1033 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)   ~ (e3 = e2)
% 196.61/33.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (3)  all_56_5 = e3
% 196.61/33.52    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.52         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.52    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.52         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.52    (6)  all_56_1 = e0 & op(e3, e2) = e0
% 196.61/33.52    (7)  op(e1, e1) = e0
% 196.61/33.52    (8)   ~ (e1 = e0)
% 196.61/33.52    (9)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.52         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.52    (10)   ~ (e2 = e1)
% 196.61/33.52    (11)  all_56_1 = e3
% 196.61/33.52    (12)   ~ (e3 = e1)
% 196.61/33.52    (13)   ~ (e2 = e0)
% 196.61/33.52    (14)   ~ (e3 = e0)
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | ALPHA: (6) implies:
% 196.61/33.52  |   (15)  all_56_1 = e0
% 196.61/33.52  | 
% 196.61/33.52  | COMBINE_EQS: (11), (15) imply:
% 196.61/33.52  |   (16)  e3 = e0
% 196.61/33.52  | 
% 196.61/33.52  | COMBINE_EQS: (3), (16) imply:
% 196.61/33.52  |   (17)  all_56_5 = e0
% 196.61/33.52  | 
% 196.61/33.52  | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (12), (13), (14), (17) are
% 196.61/33.52  |            inconsistent by sub-proof #1551.
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1034 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.61/33.52         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.61/33.52    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.61/33.52         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.61/33.52    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.61/33.52         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.61/33.52    (4)   ~ (e3 = e2)
% 196.61/33.52    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (6)  op(e3, e3) = e3
% 196.61/33.52    (7)  all_56_2 = e3
% 196.61/33.52    (8)   ~ (e1 = e0)
% 196.61/33.52    (9)  all_56_6 = e3
% 196.61/33.52    (10)   ~ (e2 = e1)
% 196.61/33.52    (11)   ~ (e3 = e1)
% 196.61/33.52    (12)   ~ (e2 = e0)
% 196.61/33.52    (13)   ~ (e3 = e0)
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | BETA: splitting (2) gives:
% 196.61/33.52  | 
% 196.61/33.52  | Case 1:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 196.61/33.52  | |           e0)
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (5), (6), (7), (13), (14) are inconsistent by sub-proof #1728.
% 196.61/33.52  | | 
% 196.61/33.52  | Case 2:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 196.61/33.52  | |           e0)
% 196.61/33.52  | | 
% 196.61/33.52  | | BETA: splitting (15) gives:
% 196.61/33.52  | | 
% 196.61/33.52  | | Case 1:
% 196.61/33.52  | | | 
% 196.61/33.52  | | |   (16)  all_56_6 = e0 & op(e1, e3) = e0
% 196.61/33.52  | | | 
% 196.61/33.52  | | | REF_CLOSE: (9), (13), (16) are inconsistent by sub-proof #1856.
% 196.61/33.52  | | | 
% 196.61/33.52  | | Case 2:
% 196.61/33.52  | | | 
% 196.61/33.52  | | |   (17)  all_56_12 = e0 & op(e0, e3) = e0
% 196.61/33.52  | | | 
% 196.61/33.52  | | | ALPHA: (17) implies:
% 196.61/33.52  | | |   (18)  all_56_12 = e0
% 196.61/33.52  | | | 
% 196.61/33.52  | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (12), (18) are
% 196.61/33.52  | | |            inconsistent by sub-proof #1567.
% 196.61/33.52  | | | 
% 196.61/33.52  | | End of split
% 196.61/33.52  | | 
% 196.61/33.52  | End of split
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1035 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (2)  ( ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) = all_18_1
% 196.61/33.52           & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e0, e3) =
% 196.61/33.52           all_18_1 & $i(all_18_1))
% 196.61/33.52    (3)  op(e0, e3) = all_48_1
% 196.61/33.52    (4)   ~ (all_48_1 = e1)
% 196.61/33.52    (5)  op(e0, e3) = e1
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | BETA: splitting (2) gives:
% 196.61/33.52  | 
% 196.61/33.52  | Case 1:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (6)   ~ (all_18_0 = e1) & op(all_18_1, e0) = all_18_0 & op(e0, e3) =
% 196.61/33.52  | |        all_18_1 & $i(all_18_0) & $i(all_18_1)
% 196.61/33.52  | | 
% 196.61/33.52  | | ALPHA: (6) implies:
% 196.61/33.52  | |   (7)  op(e0, e3) = all_18_1
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (1), (3), (4), (5), (7) are inconsistent by sub-proof #1036.
% 196.61/33.52  | | 
% 196.61/33.52  | Case 2:
% 196.61/33.52  | | 
% 196.61/33.52  | |   (8)   ~ (all_18_1 = e2) & op(e0, e3) = all_18_1 & $i(all_18_1)
% 196.61/33.52  | | 
% 196.61/33.52  | | ALPHA: (8) implies:
% 196.61/33.52  | |   (9)  op(e0, e3) = all_18_1
% 196.61/33.52  | | 
% 196.61/33.52  | | REF_CLOSE: (1), (3), (4), (5), (9) are inconsistent by sub-proof #1036.
% 196.61/33.52  | | 
% 196.61/33.52  | End of split
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1036 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (2)  op(e0, e3) = all_18_1
% 196.61/33.52    (3)  op(e0, e3) = all_48_1
% 196.61/33.52    (4)   ~ (all_48_1 = e1)
% 196.61/33.52    (5)  op(e0, e3) = e1
% 196.61/33.52  
% 196.61/33.52  Begin of proof
% 196.61/33.52  | 
% 196.61/33.52  | GROUND_INST: instantiating (1) with e1, all_48_1, e3, e0, simplifying with
% 196.61/33.52  |              (3), (5) gives:
% 196.61/33.52  |   (6)  all_48_1 = e1
% 196.61/33.52  | 
% 196.61/33.52  | GROUND_INST: instantiating (1) with all_18_1, all_48_1, e3, e0, simplifying
% 196.61/33.52  |              with (2), (3) gives:
% 196.61/33.52  |   (7)  all_48_1 = all_18_1
% 196.61/33.52  | 
% 196.61/33.52  | COMBINE_EQS: (6), (7) imply:
% 196.61/33.52  |   (8)  all_18_1 = e1
% 196.61/33.52  | 
% 196.61/33.52  | REDUCE: (4), (6) imply:
% 196.61/33.52  |   (9)  $false
% 196.61/33.52  | 
% 196.61/33.52  | CLOSE: (9) is inconsistent.
% 196.61/33.52  | 
% 196.61/33.52  End of proof
% 196.61/33.52  
% 196.61/33.52  Sub-proof #1037 shows that the following formulas are inconsistent:
% 196.61/33.52  ----------------------------------------------------------------
% 196.61/33.52    (1)  all_54_0 = all_6_2
% 196.61/33.52    (2)  op(e1, e1) = e1
% 196.61/33.52    (3)  op(e1, e3) = all_52_2
% 196.61/33.52    (4)   ~ (all_52_13 = e3)
% 196.61/33.52    (5)  op(e1, e2) = all_52_6
% 196.61/33.52    (6)  all_54_7 = all_52_13
% 196.61/33.52    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.61/33.52         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.61/33.52    (8)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 196.61/33.52           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 196.61/33.52             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 196.61/33.52    (9)   ~ (all_52_8 = all_6_2)
% 196.61/33.52    (10)  op(e3, e3) = all_6_2
% 196.61/33.52    (11)   ~ (all_52_11 = e1)
% 196.61/33.52    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.61/33.52          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.52    (13)   ~ (all_52_6 = all_52_7)
% 196.61/33.52    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.61/33.52          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.61/33.52    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.61/33.52          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.61/33.52    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.52            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.52    (17)   ~ (all_6_2 = e0)
% 196.61/33.52    (18)   ~ (all_52_9 = e1)
% 196.61/33.52    (19)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 196.61/33.52            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 196.61/33.52              e1) = all_24_1 & $i(all_24_1))
% 196.61/33.52    (20)  op(e3, e2) = all_52_4
% 196.61/33.52    (21)  op(e2, e2) = e1
% 196.61/33.52    (22)   ~ (all_48_0 = e2)
% 196.61/33.52    (23)   ~ (all_52_7 = all_52_11)
% 196.61/33.52    (24)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.52          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.52    (25)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.52          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.52    (26)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.61/33.52    (27)  all_54_13 = all_52_7
% 196.61/33.52    (28)   ~ (all_52_4 = all_52_7)
% 196.61/33.52    (29)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.61/33.52          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.61/33.52            e1)
% 196.61/33.52    (30)   ~ (all_52_14 = e3)
% 196.61/33.52    (31)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.61/33.52    (32)  op(e2, e0) = all_52_13
% 196.61/33.52    (33)  op(e1, e0) = all_52_14
% 196.61/33.52    (34)  all_56_12 = e1
% 196.61/33.52    (35)   ~ (all_52_8 = all_52_9)
% 196.61/33.52    (36)   ~ (all_52_13 = e1)
% 196.61/33.52    (37)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.61/33.52              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.61/33.52            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.61/33.52            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.61/33.52            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.52            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.52            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.61/33.52            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.52            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.61/33.52            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.61/33.52            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.52            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.52            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.52            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.52            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.52            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.52            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.52            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.52            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.52            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.52            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.52            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.52            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.52            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.52            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.52            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.52            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.52            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.52            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.52            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.52            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.52            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.52            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.52            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.52            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.52            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.52            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.52            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.52            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.52            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.52            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.52            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.52            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.52            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.52            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.52            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.52            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.52            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.52              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.61/33.52            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.52            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.52              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.61/33.52            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.52            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.61/33.52                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.52                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.52                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.52                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.52                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.61/33.52                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.52                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.52              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.52                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.52                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.52                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.52                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.52                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.52                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.52                $i(all_57_7))))
% 196.61/33.52    (38)   ~ (all_52_7 = e1)
% 196.61/33.52    (39)  op(e0, e1) = all_52_11
% 196.61/33.52    (40)   ~ (all_52_12 = e3)
% 196.61/33.52    (41)   ~ (all_52_6 = all_52_14)
% 196.61/33.53    (42)   ~ (all_52_14 = e1)
% 196.61/33.53    (43)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.53          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.61/33.53    (44)  op(e0, e3) = all_18_1
% 196.61/33.53    (45)  all_54_11 = all_52_14
% 196.61/33.53    (46)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.61/33.53    (47)  op(e0, e3) = all_48_1
% 196.61/33.53    (48)   ~ (all_6_2 = e1)
% 196.61/33.53    (49)   ~ (e1 = e0)
% 196.61/33.53    (50)   ~ (all_52_1 = all_52_13)
% 196.61/33.53    (51)   ~ (all_52_4 = e1)
% 196.61/33.53    (52)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.53          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.53    (53)   ~ (all_52_13 = all_52_14)
% 196.61/33.53    (54)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.61/33.53    (55)  op(all_48_1, e0) = all_48_0
% 196.61/33.53    (56)   ~ (e2 = e1)
% 196.61/33.53    (57)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.61/33.53    (58)   ~ (all_52_2 = e1)
% 196.61/33.53    (59)  op(e0, e3) = e1
% 196.61/33.53    (60)  op(e3, e0) = all_52_12
% 196.61/33.53    (61)  all_44_2 = e1
% 196.61/33.53    (62)  op(e2, e1) = all_52_9
% 196.61/33.53    (63)   ~ (all_52_4 = all_52_6)
% 196.61/33.53    (64)  op(e3, e1) = all_52_8
% 196.61/33.53    (65)  op(e0, e0) = e3
% 196.61/33.53    (66)   ~ (all_52_9 = all_52_13)
% 196.61/33.53    (67)  all_54_1 = all_52_4
% 196.61/33.53    (68)   ~ (all_52_6 = e1)
% 196.61/33.53    (69)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.61/33.53          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.61/33.53    (70)  op(e0, e2) = all_52_7
% 196.61/33.53    (71)   ~ (e2 = e0)
% 196.61/33.53    (72)  op(e2, e3) = all_52_1
% 196.61/33.53    (73)   ~ (all_6_2 = e2)
% 196.61/33.53  
% 196.61/33.53  Begin of proof
% 196.61/33.53  | 
% 196.61/33.53  | BETA: splitting (26) gives:
% 196.61/33.53  | 
% 196.61/33.53  | Case 1:
% 196.61/33.53  | | 
% 196.61/33.53  | |   (74)  all_54_0 = e3
% 196.61/33.53  | | 
% 196.61/33.53  | | COMBINE_EQS: (1), (74) imply:
% 196.61/33.53  | |   (75)  all_6_2 = e3
% 196.61/33.53  | | 
% 196.61/33.53  | | REDUCE: (9), (75) imply:
% 196.61/33.53  | |   (76)   ~ (all_52_8 = e3)
% 196.61/33.53  | | 
% 196.61/33.53  | | REDUCE: (73), (75) imply:
% 196.61/33.53  | |   (77)   ~ (e3 = e2)
% 196.61/33.53  | | 
% 196.61/33.53  | | REDUCE: (48), (75) imply:
% 196.61/33.53  | |   (78)   ~ (e3 = e1)
% 196.61/33.53  | | 
% 196.61/33.53  | | REDUCE: (17), (75) imply:
% 196.61/33.53  | |   (79)   ~ (e3 = e0)
% 196.61/33.53  | | 
% 196.61/33.53  | | REDUCE: (10), (75) imply:
% 196.61/33.53  | |   (80)  op(e3, e3) = e3
% 196.61/33.53  | | 
% 196.61/33.53  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (11), (12), (13), (14), (15),
% 196.61/33.53  | |            (16), (18), (19), (20), (21), (22), (23), (24), (25), (27), (28),
% 196.61/33.53  | |            (29), (30), (31), (32), (33), (34), (35), (36), (37), (38), (39),
% 196.61/33.53  | |            (40), (41), (42), (43), (44), (45), (46), (47), (49), (50), (51),
% 196.61/33.53  | |            (52), (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 196.61/33.53  | |            (63), (64), (65), (66), (67), (68), (69), (70), (71), (72), (76),
% 196.61/33.53  | |            (77), (78), (79), (80) are inconsistent by sub-proof #1038.
% 196.61/33.53  | | 
% 196.61/33.53  | Case 2:
% 196.61/33.53  | | 
% 196.61/33.53  | |   (81)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.61/33.53  | | 
% 196.61/33.53  | | REF_CLOSE: (1), (17), (48), (73), (81) are inconsistent by sub-proof #1952.
% 196.61/33.53  | | 
% 196.61/33.53  | End of split
% 196.61/33.53  | 
% 196.61/33.53  End of proof
% 196.61/33.53  
% 196.61/33.53  Sub-proof #1038 shows that the following formulas are inconsistent:
% 196.61/33.53  ----------------------------------------------------------------
% 196.61/33.53    (1)  op(e1, e1) = e1
% 196.61/33.53    (2)  op(e1, e3) = all_52_2
% 196.61/33.53    (3)   ~ (all_52_13 = e3)
% 196.61/33.53    (4)  op(e1, e2) = all_52_6
% 196.61/33.53    (5)  all_54_7 = all_52_13
% 196.61/33.53    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.61/33.53         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.61/33.53    (7)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 196.61/33.53           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 196.61/33.53             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 196.61/33.53    (8)   ~ (all_52_11 = e1)
% 196.61/33.53    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.61/33.53         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.53    (10)   ~ (all_52_6 = all_52_7)
% 196.61/33.53    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.61/33.53          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.61/33.53    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.61/33.53          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.61/33.53    (13)   ~ (e3 = e2)
% 196.61/33.53    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.53            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.53    (15)   ~ (all_52_9 = e1)
% 196.61/33.53    (16)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 196.61/33.53            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 196.61/33.53              e1) = all_24_1 & $i(all_24_1))
% 196.61/33.53    (17)  op(e3, e2) = all_52_4
% 196.61/33.53    (18)  op(e2, e2) = e1
% 196.61/33.53    (19)   ~ (all_48_0 = e2)
% 196.61/33.53    (20)   ~ (all_52_7 = all_52_11)
% 196.61/33.53    (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.53          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.53    (22)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.53          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.53    (23)  all_54_13 = all_52_7
% 196.61/33.53    (24)   ~ (all_52_4 = all_52_7)
% 196.61/33.53    (25)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.61/33.53          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.61/33.53            e1)
% 196.61/33.53    (26)   ~ (all_52_8 = e3)
% 196.61/33.53    (27)   ~ (all_52_14 = e3)
% 196.61/33.53    (28)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.61/33.53    (29)  op(e2, e0) = all_52_13
% 196.61/33.53    (30)  op(e1, e0) = all_52_14
% 196.61/33.53    (31)  all_56_12 = e1
% 196.61/33.53    (32)   ~ (all_52_8 = all_52_9)
% 196.61/33.53    (33)   ~ (all_52_13 = e1)
% 196.61/33.53    (34)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.61/33.53              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.61/33.53            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.61/33.53            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.61/33.53            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.53            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.53            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.61/33.53            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.53            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.61/33.53            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.61/33.53            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.53            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.53            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.53            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.53            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.53            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.53            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.53            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.53            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.53            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.53            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.53            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.53            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.53            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.53            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.53            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.53            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.53            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.53            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.53            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.53            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.53            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.53            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.53            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.53            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.53            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.53            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.53            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.53            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.53            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.53            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.53            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.53            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.53            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.53            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.53            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.53            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.53            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.53              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.61/33.53            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.53            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.53              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.61/33.53            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.53            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.61/33.53                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.53                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.53                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.53                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.53                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.61/33.53                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.53                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.53              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.53                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.53                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.53                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.53                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.53                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.53                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.53                $i(all_57_7))))
% 196.61/33.53    (35)   ~ (all_52_7 = e1)
% 196.61/33.53    (36)  op(e0, e1) = all_52_11
% 196.61/33.53    (37)  op(e3, e3) = e3
% 196.61/33.53    (38)   ~ (all_52_12 = e3)
% 196.61/33.53    (39)   ~ (all_52_6 = all_52_14)
% 196.61/33.53    (40)   ~ (all_52_14 = e1)
% 196.61/33.53    (41)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.53          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.61/33.53    (42)  op(e0, e3) = all_18_1
% 196.61/33.53    (43)  all_54_11 = all_52_14
% 196.61/33.53    (44)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.61/33.53    (45)  op(e0, e3) = all_48_1
% 196.61/33.53    (46)   ~ (e1 = e0)
% 196.61/33.53    (47)   ~ (all_52_1 = all_52_13)
% 196.61/33.53    (48)   ~ (all_52_4 = e1)
% 196.61/33.53    (49)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.53          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.53    (50)   ~ (all_52_13 = all_52_14)
% 196.61/33.53    (51)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.61/33.53    (52)  op(all_48_1, e0) = all_48_0
% 196.61/33.53    (53)   ~ (e2 = e1)
% 196.61/33.53    (54)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.61/33.53    (55)   ~ (all_52_2 = e1)
% 196.61/33.53    (56)  op(e0, e3) = e1
% 196.61/33.53    (57)  op(e3, e0) = all_52_12
% 196.61/33.53    (58)  all_44_2 = e1
% 196.61/33.53    (59)  op(e2, e1) = all_52_9
% 196.61/33.53    (60)   ~ (all_52_4 = all_52_6)
% 196.61/33.53    (61)  op(e3, e1) = all_52_8
% 196.61/33.53    (62)  op(e0, e0) = e3
% 196.61/33.53    (63)   ~ (all_52_9 = all_52_13)
% 196.61/33.53    (64)   ~ (e3 = e1)
% 196.61/33.53    (65)  all_54_1 = all_52_4
% 196.61/33.53    (66)   ~ (all_52_6 = e1)
% 196.61/33.53    (67)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.61/33.53          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.61/33.53    (68)  op(e0, e2) = all_52_7
% 196.61/33.53    (69)   ~ (e2 = e0)
% 196.61/33.53    (70)  op(e2, e3) = all_52_1
% 196.61/33.53    (71)   ~ (e3 = e0)
% 196.61/33.53  
% 196.61/33.53  Begin of proof
% 196.61/33.53  | 
% 196.61/33.53  | BETA: splitting (49) gives:
% 196.61/33.53  | 
% 196.61/33.53  | Case 1:
% 196.61/33.53  | | 
% 196.61/33.53  | |   (72)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 196.61/33.53  | |           e3)
% 196.61/33.53  | | 
% 196.61/33.53  | | BETA: splitting (72) gives:
% 196.61/33.53  | | 
% 196.61/33.53  | | Case 1:
% 196.61/33.53  | | | 
% 196.61/33.53  | | |   (73)  all_56_4 = e3 & op(e3, e1) = e3
% 196.61/33.53  | | | 
% 196.61/33.53  | | | ALPHA: (73) implies:
% 196.61/33.53  | | |   (74)  op(e3, e1) = e3
% 196.61/33.53  | | | 
% 196.61/33.53  | | | REF_CLOSE: (14), (26), (61), (74) are inconsistent by sub-proof #1759.
% 196.61/33.53  | | | 
% 196.61/33.53  | | Case 2:
% 196.61/33.53  | | | 
% 196.61/33.53  | | |   (75)  all_56_5 = e3 & op(e2, e1) = e3
% 196.61/33.53  | | | 
% 196.61/33.53  | | | ALPHA: (75) implies:
% 196.61/33.53  | | |   (76)  all_56_5 = e3
% 196.61/33.53  | | |   (77)  op(e2, e1) = e3
% 196.61/33.53  | | | 
% 196.61/33.53  | | | BETA: splitting (67) gives:
% 196.61/33.53  | | | 
% 196.61/33.53  | | | Case 1:
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | |   (78)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 196.61/33.53  | | | |           = e3)
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | | BETA: splitting (78) gives:
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | | Case 1:
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | |   (79)  all_56_6 = e3 & op(e1, e3) = e3
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | | ALPHA: (79) implies:
% 196.61/33.53  | | | | |   (80)  all_56_6 = e3
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | | REF_CLOSE: (6), (11), (12), (13), (14), (31), (37), (46), (53), (64),
% 196.61/33.53  | | | | |            (69), (71), (80) are inconsistent by sub-proof #1542.
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | Case 2:
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | |   (81)  all_56_7 = e3 & op(e1, e2) = e3
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | | ALPHA: (81) implies:
% 196.61/33.53  | | | | |   (82)  op(e1, e2) = e3
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (14), (15), (16),
% 196.61/33.53  | | | | |            (17), (18), (19), (20), (21), (22), (23), (24), (28), (30),
% 196.61/33.53  | | | | |            (32), (33), (34), (35), (36), (37), (38), (39), (40), (42),
% 196.61/33.53  | | | | |            (43), (44), (45), (47), (48), (50), (51), (52), (54), (55),
% 196.61/33.53  | | | | |            (56), (57), (58), (59), (60), (61), (62), (63), (65), (66),
% 196.61/33.53  | | | | |            (70), (76), (77), (82) are inconsistent by sub-proof #1041.
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | End of split
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | Case 2:
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | |   (83)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 196.61/33.53  | | | |           = e3)
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | | REF_CLOSE: (8), (9), (13), (14), (21), (22), (27), (30), (36), (46),
% 196.61/33.53  | | | |            (53), (64), (69), (71), (76), (83) are inconsistent by
% 196.61/33.53  | | | |            sub-proof #1091.
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | End of split
% 196.61/33.53  | | | 
% 196.61/33.53  | | End of split
% 196.61/33.53  | | 
% 196.61/33.53  | Case 2:
% 196.61/33.53  | | 
% 196.61/33.53  | |   (84)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 196.61/33.53  | |           e3)
% 196.61/33.53  | | 
% 196.61/33.53  | | BETA: splitting (84) gives:
% 196.61/33.53  | | 
% 196.61/33.53  | | Case 1:
% 196.61/33.53  | | | 
% 196.61/33.53  | | |   (85)  all_56_8 = e3 & op(e1, e1) = e3
% 196.61/33.53  | | | 
% 196.61/33.53  | | | ALPHA: (85) implies:
% 196.61/33.53  | | |   (86)  op(e1, e1) = e3
% 196.61/33.53  | | | 
% 196.61/33.53  | | | REF_CLOSE: (1), (14), (64), (86) are inconsistent by sub-proof #1978.
% 196.61/33.53  | | | 
% 196.61/33.53  | | Case 2:
% 196.61/33.53  | | | 
% 196.61/33.53  | | |   (87)  all_56_14 = e3 & op(e0, e1) = e3
% 196.61/33.53  | | | 
% 196.61/33.53  | | | ALPHA: (87) implies:
% 196.61/33.53  | | |   (88)  all_56_14 = e3
% 196.61/33.53  | | | 
% 196.61/33.53  | | | BETA: splitting (67) gives:
% 196.61/33.53  | | | 
% 196.61/33.53  | | | Case 1:
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | |   (89)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 196.61/33.53  | | | |           = e3)
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | | BETA: splitting (89) gives:
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | | Case 1:
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | |   (90)  all_56_6 = e3 & op(e1, e3) = e3
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | | ALPHA: (90) implies:
% 196.61/33.53  | | | | |   (91)  all_56_6 = e3
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | | REF_CLOSE: (6), (11), (12), (13), (14), (31), (37), (46), (53), (64),
% 196.61/33.53  | | | | |            (69), (71), (91) are inconsistent by sub-proof #1542.
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | Case 2:
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | |   (92)  all_56_7 = e3 & op(e1, e2) = e3
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | | ALPHA: (92) implies:
% 196.61/33.53  | | | | |   (93)  op(e1, e2) = e3
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | | BETA: splitting (41) gives:
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | | Case 1:
% 196.61/33.53  | | | | | | 
% 196.61/33.53  | | | | | |   (94)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2,
% 196.61/33.53  | | | | | |             e2) = e3)
% 196.61/33.53  | | | | | | 
% 196.61/33.53  | | | | | | BETA: splitting (94) gives:
% 196.61/33.53  | | | | | | 
% 196.61/33.53  | | | | | | Case 1:
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | |   (95)  all_56_2 = e3 & op(e2, e3) = e3
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | | ALPHA: (95) implies:
% 196.61/33.53  | | | | | | |   (96)  all_56_2 = e3
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | | BETA: splitting (6) gives:
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | | Case 1:
% 196.61/33.53  | | | | | | | | 
% 196.61/33.53  | | | | | | | |   (97)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 &
% 196.61/33.53  | | | | | | | |           op(e2, e3) = e2)
% 196.61/33.53  | | | | | | | | 
% 196.61/33.53  | | | | | | | | REF_CLOSE: (13), (14), (37), (96), (97) are inconsistent by
% 196.61/33.53  | | | | | | | |            sub-proof #1727.
% 196.61/33.53  | | | | | | | | 
% 196.61/33.53  | | | | | | | Case 2:
% 196.61/33.53  | | | | | | | | 
% 196.61/33.53  | | | | | | | |   (98)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 196.61/33.53  | | | | | | | |           op(e0, e3) = e2)
% 196.61/33.53  | | | | | | | | 
% 196.61/33.53  | | | | | | | | BETA: splitting (98) gives:
% 196.61/33.53  | | | | | | | | 
% 196.61/33.53  | | | | | | | | Case 1:
% 196.61/33.53  | | | | | | | | | 
% 196.61/33.53  | | | | | | | | |   (99)  all_56_6 = e2 & op(e1, e3) = e2
% 196.61/33.53  | | | | | | | | | 
% 196.61/33.53  | | | | | | | | | ALPHA: (99) implies:
% 196.61/33.53  | | | | | | | | |   (100)  all_56_6 = e2
% 196.61/33.53  | | | | | | | | | 
% 196.61/33.53  | | | | | | | | | REF_CLOSE: (11), (12), (14), (37), (46), (53), (64), (69),
% 196.61/33.53  | | | | | | | | |            (71), (96), (100) are inconsistent by sub-proof
% 196.61/33.53  | | | | | | | | |            #1218.
% 196.61/33.53  | | | | | | | | | 
% 196.61/33.53  | | | | | | | | Case 2:
% 196.61/33.53  | | | | | | | | | 
% 196.61/33.53  | | | | | | | | |   (101)  all_56_12 = e2 & op(e0, e3) = e2
% 196.61/33.53  | | | | | | | | | 
% 196.61/33.53  | | | | | | | | | ALPHA: (101) implies:
% 196.61/33.53  | | | | | | | | |   (102)  all_56_12 = e2
% 196.61/33.53  | | | | | | | | | 
% 196.61/33.53  | | | | | | | | | REF_CLOSE: (14), (25), (35), (53), (62), (64), (68), (88),
% 196.61/33.53  | | | | | | | | |            (102) are inconsistent by sub-proof #1039.
% 196.61/33.53  | | | | | | | | | 
% 196.61/33.53  | | | | | | | | End of split
% 196.61/33.53  | | | | | | | | 
% 196.61/33.53  | | | | | | | End of split
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | Case 2:
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | |   (103)  all_56_3 = e3 & op(e2, e2) = e3
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | | ALPHA: (103) implies:
% 196.61/33.53  | | | | | | |   (104)  op(e2, e2) = e3
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | | REF_CLOSE: (14), (18), (64), (104) are inconsistent by sub-proof
% 196.61/33.53  | | | | | | |            #1679.
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | End of split
% 196.61/33.53  | | | | | | 
% 196.61/33.53  | | | | | Case 2:
% 196.61/33.53  | | | | | | 
% 196.61/33.53  | | | | | |   (105)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 196.61/33.53  | | | | | |            op(e2, e0) = e3)
% 196.61/33.53  | | | | | | 
% 196.61/33.53  | | | | | | BETA: splitting (105) gives:
% 196.61/33.53  | | | | | | 
% 196.61/33.53  | | | | | | Case 1:
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | |   (106)  all_56_5 = e3 & op(e2, e1) = e3
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | | ALPHA: (106) implies:
% 196.61/33.53  | | | | | | |   (107)  all_56_5 = e3
% 196.61/33.53  | | | | | | |   (108)  op(e2, e1) = e3
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (14), (15),
% 196.61/33.53  | | | | | | |            (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 196.61/33.53  | | | | | | |            (28), (30), (32), (33), (34), (35), (36), (37), (38),
% 196.61/33.53  | | | | | | |            (39), (40), (42), (43), (44), (45), (47), (48), (50),
% 196.61/33.53  | | | | | | |            (51), (52), (54), (55), (56), (57), (58), (59), (60),
% 196.61/33.53  | | | | | | |            (61), (62), (63), (65), (66), (70), (93), (107), (108)
% 196.61/33.53  | | | | | | |            are inconsistent by sub-proof #1041.
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | Case 2:
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | |   (109)  all_56_10 = e3 & op(e2, e0) = e3
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | | REF_CLOSE: (3), (14), (29), (109) are inconsistent by sub-proof
% 196.61/33.53  | | | | | | |            #1456.
% 196.61/33.53  | | | | | | | 
% 196.61/33.53  | | | | | | End of split
% 196.61/33.53  | | | | | | 
% 196.61/33.53  | | | | | End of split
% 196.61/33.53  | | | | | 
% 196.61/33.53  | | | | End of split
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | Case 2:
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | |   (110)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1,
% 196.61/33.53  | | | |              e0) = e3)
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | | REF_CLOSE: (1), (14), (27), (30), (64), (110) are inconsistent by
% 196.61/33.53  | | | |            sub-proof #1055.
% 196.61/33.53  | | | | 
% 196.61/33.53  | | | End of split
% 196.61/33.53  | | | 
% 196.61/33.53  | | End of split
% 196.61/33.53  | | 
% 196.61/33.53  | End of split
% 196.61/33.53  | 
% 196.61/33.53  End of proof
% 196.61/33.53  
% 196.61/33.53  Sub-proof #1039 shows that the following formulas are inconsistent:
% 196.61/33.53  ----------------------------------------------------------------
% 196.61/33.53    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.53    (2)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 196.61/33.53         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.61/33.53    (3)   ~ (all_52_7 = e1)
% 196.61/33.53    (4)  all_56_14 = e3
% 196.61/33.53    (5)   ~ (e2 = e1)
% 196.61/33.53    (6)  all_56_12 = e2
% 196.61/33.53    (7)  op(e0, e0) = e3
% 196.61/33.53    (8)   ~ (e3 = e1)
% 196.61/33.53    (9)  op(e0, e2) = all_52_7
% 196.61/33.53  
% 196.61/33.53  Begin of proof
% 196.61/33.53  | 
% 196.61/33.53  | BETA: splitting (2) gives:
% 196.61/33.53  | 
% 196.61/33.53  | Case 1:
% 196.61/33.53  | | 
% 196.61/33.53  | |   (10)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 196.61/33.53  | |           e1)
% 196.61/33.53  | | 
% 196.61/33.53  | | BETA: splitting (10) gives:
% 196.61/33.53  | | 
% 196.61/33.53  | | Case 1:
% 196.61/33.53  | | | 
% 196.61/33.53  | | |   (11)  all_56_12 = e1 & op(e0, e3) = e1
% 196.61/33.53  | | | 
% 196.61/33.53  | | | ALPHA: (11) implies:
% 196.61/33.53  | | |   (12)  all_56_12 = e1
% 196.61/33.53  | | | 
% 196.61/33.53  | | | REF_CLOSE: (5), (6), (12) are inconsistent by sub-proof #1622.
% 196.61/33.53  | | | 
% 196.61/33.53  | | Case 2:
% 196.61/33.53  | | | 
% 196.61/33.53  | | |   (13)  all_56_13 = e1 & op(e0, e2) = e1
% 196.61/33.53  | | | 
% 196.61/33.53  | | | ALPHA: (13) implies:
% 196.61/33.53  | | |   (14)  op(e0, e2) = e1
% 196.61/33.53  | | | 
% 196.61/33.53  | | | REF_CLOSE: (1), (3), (9), (14) are inconsistent by sub-proof #1649.
% 196.61/33.53  | | | 
% 196.61/33.53  | | End of split
% 196.61/33.53  | | 
% 196.61/33.53  | Case 2:
% 196.61/33.53  | | 
% 196.61/33.53  | |   (15)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.61/33.53  | |           e1)
% 196.61/33.53  | | 
% 196.61/33.53  | | REF_CLOSE: (1), (4), (7), (8), (15) are inconsistent by sub-proof #1040.
% 196.61/33.53  | | 
% 196.61/33.53  | End of split
% 196.61/33.53  | 
% 196.61/33.53  End of proof
% 196.61/33.53  
% 196.61/33.53  Sub-proof #1040 shows that the following formulas are inconsistent:
% 196.61/33.53  ----------------------------------------------------------------
% 196.61/33.53    (1)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.61/33.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.53    (3)  all_56_14 = e3
% 196.61/33.53    (4)  op(e0, e0) = e3
% 196.61/33.53    (5)   ~ (e3 = e1)
% 196.61/33.53  
% 196.61/33.53  Begin of proof
% 196.61/33.53  | 
% 196.61/33.53  | BETA: splitting (1) gives:
% 196.61/33.53  | 
% 196.61/33.53  | Case 1:
% 196.61/33.53  | | 
% 196.61/33.53  | |   (6)  all_56_14 = e1 & op(e0, e1) = e1
% 196.61/33.53  | | 
% 196.61/33.53  | | ALPHA: (6) implies:
% 196.61/33.53  | |   (7)  all_56_14 = e1
% 196.61/33.53  | | 
% 196.61/33.53  | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #1812.
% 196.61/33.53  | | 
% 196.61/33.53  | Case 2:
% 196.61/33.53  | | 
% 196.61/33.53  | |   (8)  all_56_15 = e1 & op(e0, e0) = e1
% 196.61/33.53  | | 
% 196.61/33.53  | | ALPHA: (8) implies:
% 196.61/33.53  | |   (9)  op(e0, e0) = e1
% 196.61/33.53  | | 
% 196.61/33.53  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1392.
% 196.61/33.53  | | 
% 196.61/33.53  | End of split
% 196.61/33.53  | 
% 196.61/33.53  End of proof
% 196.61/33.53  
% 196.61/33.53  Sub-proof #1041 shows that the following formulas are inconsistent:
% 196.61/33.53  ----------------------------------------------------------------
% 196.61/33.53    (1)  op(e1, e1) = e1
% 196.61/33.53    (2)  op(e2, e1) = e3
% 196.61/33.53    (3)  op(e1, e3) = all_52_2
% 196.61/33.53    (4)  op(e1, e2) = all_52_6
% 196.61/33.53    (5)  all_54_7 = all_52_13
% 196.61/33.53    (6)   ~ (all_44_2 = e1) | ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 &
% 196.61/33.53           op(e2, e1) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 =
% 196.61/33.53             e3) & op(e2, e1) = all_44_1 & $i(all_44_1))
% 196.61/33.53    (7)   ~ (all_52_11 = e1)
% 196.61/33.53    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.61/33.53         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.53    (9)   ~ (all_52_6 = all_52_7)
% 196.61/33.53    (10)  op(e1, e2) = e3
% 196.61/33.53    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.53            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.53    (12)   ~ (all_52_9 = e1)
% 196.61/33.53    (13)  ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 196.61/33.53            all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e0) & op(e2,
% 196.61/33.53              e1) = all_24_1 & $i(all_24_1))
% 196.61/33.53    (14)  op(e3, e2) = all_52_4
% 196.61/33.53    (15)  op(e2, e2) = e1
% 196.61/33.53    (16)   ~ (all_48_0 = e2)
% 196.61/33.53    (17)  all_56_5 = e3
% 196.61/33.53    (18)   ~ (all_52_7 = all_52_11)
% 196.61/33.53    (19)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.53          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.53    (20)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.53          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.53    (21)  all_54_13 = all_52_7
% 196.61/33.53    (22)   ~ (all_52_4 = all_52_7)
% 196.61/33.53    (23)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.61/33.53    (24)  op(e1, e0) = all_52_14
% 196.61/33.53    (25)   ~ (all_52_8 = all_52_9)
% 196.61/33.53    (26)   ~ (all_52_13 = e1)
% 196.61/33.54    (27)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.61/33.54              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.61/33.54            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.61/33.54            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.61/33.54            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.54            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.54            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.61/33.54            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.54            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.61/33.54            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.61/33.54            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.54            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.54            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.54            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.54            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.54            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.54            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.54            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.54            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.54            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.54            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.54            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.54            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.54            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.54            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.54            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.54            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.54            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.54            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.54            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.54            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.54            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.54            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.54            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.54            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.54            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.54            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.54            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.54            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.54            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.54            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.54            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.54            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.54            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.54            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.54            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.54            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.54            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.54              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.61/33.54            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.54            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.54              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.61/33.54            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.54            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.61/33.54                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.54                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.54                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.54                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.54                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.61/33.54                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.54                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.54              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.54                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.54                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.54                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.54                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.54                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.54                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.54                $i(all_57_7))))
% 196.61/33.54    (28)   ~ (all_52_7 = e1)
% 196.61/33.54    (29)  op(e0, e1) = all_52_11
% 196.61/33.54    (30)  op(e3, e3) = e3
% 196.61/33.54    (31)   ~ (all_52_12 = e3)
% 196.61/33.54    (32)   ~ (all_52_6 = all_52_14)
% 196.61/33.54    (33)   ~ (all_52_14 = e1)
% 196.61/33.54    (34)  op(e0, e3) = all_18_1
% 196.61/33.54    (35)  all_54_11 = all_52_14
% 196.61/33.54    (36)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.61/33.54    (37)  op(e0, e3) = all_48_1
% 196.61/33.54    (38)   ~ (all_52_1 = all_52_13)
% 196.61/33.54    (39)   ~ (all_52_4 = e1)
% 196.61/33.54    (40)   ~ (all_52_13 = all_52_14)
% 196.61/33.54    (41)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.61/33.54    (42)  op(all_48_1, e0) = all_48_0
% 196.61/33.54    (43)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.61/33.54    (44)   ~ (all_52_2 = e1)
% 196.61/33.54    (45)  op(e0, e3) = e1
% 196.61/33.54    (46)  op(e3, e0) = all_52_12
% 196.61/33.54    (47)  all_44_2 = e1
% 196.61/33.54    (48)  op(e2, e1) = all_52_9
% 196.61/33.54    (49)   ~ (all_52_4 = all_52_6)
% 196.61/33.54    (50)  op(e3, e1) = all_52_8
% 196.61/33.54    (51)  op(e0, e0) = e3
% 196.61/33.54    (52)   ~ (all_52_9 = all_52_13)
% 196.61/33.54    (53)  all_54_1 = all_52_4
% 196.61/33.54    (54)   ~ (all_52_6 = e1)
% 196.61/33.54    (55)  op(e2, e3) = all_52_1
% 196.61/33.54  
% 196.61/33.54  Begin of proof
% 196.61/33.54  | 
% 196.61/33.54  | GROUND_INST: instantiating (11) with e1, all_48_1, e3, e0, simplifying with
% 196.61/33.54  |              (37), (45) gives:
% 196.61/33.54  |   (56)  all_48_1 = e1
% 196.61/33.54  | 
% 196.61/33.54  | GROUND_INST: instantiating (11) with all_18_1, all_48_1, e3, e0, simplifying
% 196.61/33.54  |              with (34), (37) gives:
% 196.61/33.54  |   (57)  all_48_1 = all_18_1
% 196.61/33.54  | 
% 196.61/33.54  | GROUND_INST: instantiating (11) with all_52_6, e3, e2, e1, simplifying with
% 196.61/33.54  |              (4), (10) gives:
% 196.61/33.54  |   (58)  all_52_6 = e3
% 196.61/33.54  | 
% 196.61/33.54  | GROUND_INST: instantiating (11) with all_52_9, e3, e1, e2, simplifying with
% 196.61/33.54  |              (2), (48) gives:
% 196.61/33.54  |   (59)  all_52_9 = e3
% 196.61/33.54  | 
% 196.61/33.54  | COMBINE_EQS: (56), (57) imply:
% 196.61/33.54  |   (60)  all_18_1 = e1
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (49), (58) imply:
% 196.61/33.54  |   (61)   ~ (all_52_4 = e3)
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (9), (58) imply:
% 196.61/33.54  |   (62)   ~ (all_52_7 = e3)
% 196.61/33.54  | 
% 196.61/33.54  | SIMP: (62) implies:
% 196.61/33.54  |   (63)   ~ (all_52_7 = e3)
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (32), (58) imply:
% 196.61/33.54  |   (64)   ~ (all_52_14 = e3)
% 196.61/33.54  | 
% 196.61/33.54  | SIMP: (64) implies:
% 196.61/33.54  |   (65)   ~ (all_52_14 = e3)
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (25), (59) imply:
% 196.61/33.54  |   (66)   ~ (all_52_8 = e3)
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (52), (59) imply:
% 196.61/33.54  |   (67)   ~ (all_52_13 = e3)
% 196.61/33.54  | 
% 196.61/33.54  | SIMP: (67) implies:
% 196.61/33.54  |   (68)   ~ (all_52_13 = e3)
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (12), (59) imply:
% 196.61/33.54  |   (69)   ~ (e3 = e1)
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (42), (56) imply:
% 196.61/33.54  |   (70)  op(e1, e0) = all_48_0
% 196.61/33.54  | 
% 196.61/33.54  | BETA: splitting (6) gives:
% 196.61/33.54  | 
% 196.61/33.54  | Case 1:
% 196.61/33.54  | | 
% 196.61/33.54  | |   (71)   ~ (all_44_2 = e1)
% 196.61/33.54  | | 
% 196.61/33.54  | | REDUCE: (47), (71) imply:
% 196.61/33.54  | |   (72)  $false
% 196.61/33.54  | | 
% 196.61/33.54  | | CLOSE: (72) is inconsistent.
% 196.61/33.54  | | 
% 196.61/33.54  | Case 2:
% 196.61/33.54  | | 
% 196.61/33.54  | |   (73)  ( ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 & op(e2, e1) =
% 196.61/33.54  | |           all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 = e3) &
% 196.61/33.54  | |           op(e2, e1) = all_44_1 & $i(all_44_1))
% 196.61/33.54  | | 
% 196.61/33.54  | | BETA: splitting (73) gives:
% 196.61/33.54  | | 
% 196.61/33.54  | | Case 1:
% 196.61/33.54  | | | 
% 196.61/33.54  | | |   (74)   ~ (all_44_0 = e0) & op(all_44_1, e2) = all_44_0 & op(e2, e1) =
% 196.61/33.54  | | |         all_44_1 & $i(all_44_0) & $i(all_44_1)
% 196.61/33.54  | | | 
% 196.61/33.54  | | | ALPHA: (74) implies:
% 196.61/33.54  | | |   (75)   ~ (all_44_0 = e0)
% 196.61/33.54  | | |   (76)  op(e2, e1) = all_44_1
% 196.61/33.54  | | |   (77)  op(all_44_1, e2) = all_44_0
% 196.61/33.54  | | | 
% 196.61/33.54  | | | BETA: splitting (13) gives:
% 196.61/33.54  | | | 
% 196.61/33.54  | | | Case 1:
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | |   (78)   ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 & op(e2, e1) =
% 196.61/33.54  | | | |         all_24_1 & $i(all_24_0) & $i(all_24_1)
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | ALPHA: (78) implies:
% 196.61/33.54  | | | |   (79)  op(e2, e1) = all_24_1
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (11), (14), (15), (16),
% 196.61/33.54  | | | |            (17), (18), (19), (20), (21), (22), (23), (24), (26), (27),
% 196.61/33.54  | | | |            (28), (29), (30), (31), (33), (35), (36), (38), (39), (40),
% 196.61/33.54  | | | |            (41), (43), (44), (46), (50), (51), (53), (54), (55), (61),
% 196.61/33.54  | | | |            (63), (65), (66), (68), (69), (70), (75), (76), (77), (79)
% 196.61/33.54  | | | |            are inconsistent by sub-proof #1043.
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | Case 2:
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | |   (80)   ~ (all_24_1 = e0) & op(e2, e1) = all_24_1 & $i(all_24_1)
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | ALPHA: (80) implies:
% 196.61/33.54  | | | |   (81)  op(e2, e1) = all_24_1
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (11), (14), (15), (16),
% 196.61/33.54  | | | |            (17), (18), (19), (20), (21), (22), (23), (24), (26), (27),
% 196.61/33.54  | | | |            (28), (29), (30), (31), (33), (35), (36), (38), (39), (40),
% 196.61/33.54  | | | |            (41), (43), (44), (46), (50), (51), (53), (54), (55), (61),
% 196.61/33.54  | | | |            (63), (65), (66), (68), (69), (70), (75), (76), (77), (81)
% 196.61/33.54  | | | |            are inconsistent by sub-proof #1043.
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | End of split
% 196.61/33.54  | | | 
% 196.61/33.54  | | Case 2:
% 196.61/33.54  | | | 
% 196.61/33.54  | | |   (82)   ~ (all_44_1 = e3) & op(e2, e1) = all_44_1 & $i(all_44_1)
% 196.61/33.54  | | | 
% 196.61/33.54  | | | ALPHA: (82) implies:
% 196.61/33.54  | | |   (83)   ~ (all_44_1 = e3)
% 196.61/33.54  | | |   (84)  op(e2, e1) = all_44_1
% 196.61/33.54  | | | 
% 196.61/33.54  | | | REF_CLOSE: (2), (11), (83), (84) are inconsistent by sub-proof #1042.
% 196.61/33.54  | | | 
% 196.61/33.54  | | End of split
% 196.61/33.54  | | 
% 196.61/33.54  | End of split
% 196.61/33.54  | 
% 196.61/33.54  End of proof
% 196.61/33.54  
% 196.61/33.54  Sub-proof #1042 shows that the following formulas are inconsistent:
% 196.61/33.54  ----------------------------------------------------------------
% 196.61/33.54    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.54    (2)  op(e2, e1) = all_44_1
% 196.61/33.54    (3)  op(e2, e1) = e3
% 196.61/33.54    (4)   ~ (all_44_1 = e3)
% 196.61/33.54  
% 196.61/33.54  Begin of proof
% 196.61/33.54  | 
% 196.61/33.54  | GROUND_INST: instantiating (1) with e3, all_44_1, e1, e2, simplifying with
% 196.61/33.54  |              (2), (3) gives:
% 196.61/33.54  |   (5)  all_44_1 = e3
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (4), (5) imply:
% 196.61/33.54  |   (6)  $false
% 196.61/33.54  | 
% 196.61/33.54  | CLOSE: (6) is inconsistent.
% 196.61/33.54  | 
% 196.61/33.54  End of proof
% 196.61/33.54  
% 196.61/33.54  Sub-proof #1043 shows that the following formulas are inconsistent:
% 196.61/33.54  ----------------------------------------------------------------
% 196.61/33.54    (1)   ~ (all_52_4 = e3)
% 196.61/33.54    (2)  op(e1, e1) = e1
% 196.61/33.54    (3)  op(e2, e1) = e3
% 196.61/33.54    (4)  op(e1, e3) = all_52_2
% 196.61/33.54    (5)   ~ (all_52_13 = e3)
% 196.61/33.54    (6)  op(e1, e2) = all_52_6
% 196.61/33.54    (7)  all_54_7 = all_52_13
% 196.61/33.54    (8)  op(e2, e1) = all_44_1
% 196.61/33.54    (9)   ~ (all_52_11 = e1)
% 196.61/33.54    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.61/33.54          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.54    (11)  op(e1, e0) = all_48_0
% 196.61/33.54    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.54            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.54    (13)  op(e3, e2) = all_52_4
% 196.61/33.54    (14)  op(e2, e2) = e1
% 196.61/33.54    (15)   ~ (all_48_0 = e2)
% 196.61/33.54    (16)  all_56_5 = e3
% 196.61/33.54    (17)   ~ (all_52_7 = all_52_11)
% 196.61/33.54    (18)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.54          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.54    (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.54          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.54    (20)  all_54_13 = all_52_7
% 196.61/33.54    (21)   ~ (all_52_4 = all_52_7)
% 196.61/33.54    (22)   ~ (all_52_8 = e3)
% 196.61/33.54    (23)   ~ (all_52_14 = e3)
% 196.61/33.54    (24)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.61/33.54    (25)  op(e1, e0) = all_52_14
% 196.61/33.54    (26)   ~ (all_52_13 = e1)
% 196.61/33.54    (27)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.61/33.54              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.61/33.54            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.61/33.54            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.61/33.54            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.54            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.54            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.61/33.54            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.54            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.61/33.54            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.61/33.54            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.54            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.54            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.54            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.54            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.54            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.54            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.54            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.54            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.54            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.54            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.54            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.54            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.54            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.54            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.54            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.54            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.54            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.54            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.54            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.54            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.54            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.54            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.54            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.54            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.54            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.54            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.54            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.54            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.54            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.54            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.54            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.54            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.54            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.54            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.54            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.54            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.54            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.54              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.61/33.54            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.54            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.54              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.61/33.54            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.54            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.61/33.54                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.54                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.54                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.54                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.54                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.61/33.54                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.54                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.54              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.54                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.54                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.54                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.54                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.54                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.54                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.54                $i(all_57_7))))
% 196.61/33.54    (28)   ~ (all_44_0 = e0)
% 196.61/33.54    (29)  op(all_44_1, e2) = all_44_0
% 196.61/33.54    (30)   ~ (all_52_7 = e1)
% 196.61/33.54    (31)  op(e0, e1) = all_52_11
% 196.61/33.54    (32)  op(e3, e3) = e3
% 196.61/33.54    (33)   ~ (all_52_12 = e3)
% 196.61/33.54    (34)   ~ (all_52_14 = e1)
% 196.61/33.54    (35)  all_54_11 = all_52_14
% 196.61/33.54    (36)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.61/33.54    (37)   ~ (all_52_1 = all_52_13)
% 196.61/33.54    (38)   ~ (all_52_4 = e1)
% 196.61/33.54    (39)   ~ (all_52_13 = all_52_14)
% 196.61/33.54    (40)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.61/33.54    (41)  op(e2, e1) = all_24_1
% 196.61/33.54    (42)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.61/33.54    (43)   ~ (all_52_2 = e1)
% 196.61/33.54    (44)  op(e3, e0) = all_52_12
% 196.61/33.54    (45)   ~ (all_52_7 = e3)
% 196.61/33.54    (46)  op(e3, e1) = all_52_8
% 196.61/33.54    (47)  op(e0, e0) = e3
% 196.61/33.54    (48)   ~ (e3 = e1)
% 196.61/33.54    (49)  all_54_1 = all_52_4
% 196.61/33.54    (50)   ~ (all_52_6 = e1)
% 196.61/33.54    (51)  op(e2, e3) = all_52_1
% 196.61/33.54  
% 196.61/33.54  Begin of proof
% 196.61/33.54  | 
% 196.61/33.54  | GROUND_INST: instantiating (12) with all_52_14, all_48_0, e0, e1, simplifying
% 196.61/33.54  |              with (11), (25) gives:
% 196.61/33.54  |   (52)  all_52_14 = all_48_0
% 196.61/33.54  | 
% 196.61/33.54  | GROUND_INST: instantiating (12) with e3, all_44_1, e1, e2, simplifying with
% 196.61/33.54  |              (3), (8) gives:
% 196.61/33.54  |   (53)  all_44_1 = e3
% 196.61/33.54  | 
% 196.61/33.54  | GROUND_INST: instantiating (12) with all_24_1, all_44_1, e1, e2, simplifying
% 196.61/33.54  |              with (8), (41) gives:
% 196.61/33.54  |   (54)  all_44_1 = all_24_1
% 196.61/33.54  | 
% 196.61/33.54  | COMBINE_EQS: (53), (54) imply:
% 196.61/33.54  |   (55)  all_24_1 = e3
% 196.61/33.54  | 
% 196.61/33.54  | COMBINE_EQS: (35), (52) imply:
% 196.61/33.54  |   (56)  all_54_11 = all_48_0
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (39), (52) imply:
% 196.61/33.54  |   (57)   ~ (all_52_13 = all_48_0)
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (23), (52) imply:
% 196.61/33.54  |   (58)   ~ (all_48_0 = e3)
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (34), (52) imply:
% 196.61/33.54  |   (59)   ~ (all_48_0 = e1)
% 196.61/33.54  | 
% 196.61/33.54  | REDUCE: (29), (53) imply:
% 196.61/33.54  |   (60)  op(e3, e2) = all_44_0
% 196.61/33.54  | 
% 196.61/33.54  | BETA: splitting (24) gives:
% 196.61/33.54  | 
% 196.61/33.54  | Case 1:
% 196.61/33.54  | | 
% 196.61/33.54  | |   (61)  all_54_11 = e3
% 196.61/33.54  | | 
% 196.61/33.54  | | REF_CLOSE: (56), (58), (61) are inconsistent by sub-proof #1048.
% 196.61/33.54  | | 
% 196.61/33.54  | Case 2:
% 196.61/33.54  | | 
% 196.61/33.54  | |   (62)   ~ (all_54_11 = e3)
% 196.61/33.54  | |   (63)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.61/33.54  | | 
% 196.61/33.54  | | BETA: splitting (63) gives:
% 196.61/33.54  | | 
% 196.61/33.54  | | Case 1:
% 196.61/33.54  | | | 
% 196.61/33.54  | | |   (64)  all_54_11 = e2
% 196.61/33.54  | | | 
% 196.61/33.54  | | | REF_CLOSE: (15), (56), (64) are inconsistent by sub-proof #1047.
% 196.61/33.54  | | | 
% 196.61/33.54  | | Case 2:
% 196.61/33.54  | | | 
% 196.61/33.54  | | |   (65)  all_54_11 = e1 | all_54_11 = e0
% 196.61/33.54  | | | 
% 196.61/33.54  | | | BETA: splitting (65) gives:
% 196.61/33.54  | | | 
% 196.61/33.54  | | | Case 1:
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | |   (66)  all_54_11 = e1
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | REF_CLOSE: (56), (59), (66) are inconsistent by sub-proof #1046.
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | Case 2:
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | |   (67)  all_54_11 = e0
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | COMBINE_EQS: (56), (67) imply:
% 196.61/33.54  | | | |   (68)  all_48_0 = e0
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | SIMP: (68) implies:
% 196.61/33.54  | | | |   (69)  all_48_0 = e0
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | REDUCE: (57), (69) imply:
% 196.61/33.54  | | | |   (70)   ~ (all_52_13 = e0)
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | REDUCE: (58), (69) imply:
% 196.61/33.54  | | | |   (71)   ~ (e3 = e0)
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | SIMP: (71) implies:
% 196.61/33.54  | | | |   (72)   ~ (e3 = e0)
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | REDUCE: (59), (69) imply:
% 196.61/33.54  | | | |   (73)   ~ (e1 = e0)
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | SIMP: (73) implies:
% 196.61/33.54  | | | |   (74)   ~ (e1 = e0)
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | BETA: splitting (36) gives:
% 196.61/33.54  | | | | 
% 196.61/33.54  | | | | Case 1:
% 196.61/33.54  | | | | | 
% 196.61/33.54  | | | | |   (75)  all_54_7 = e3
% 196.61/33.54  | | | | | 
% 196.61/33.54  | | | | | COMBINE_EQS: (7), (75) imply:
% 196.61/33.54  | | | | |   (76)  all_52_13 = e3
% 196.61/33.54  | | | | | 
% 196.61/33.54  | | | | | REDUCE: (5), (76) imply:
% 196.61/33.54  | | | | |   (77)  $false
% 196.61/33.54  | | | | | 
% 196.61/33.54  | | | | | CLOSE: (77) is inconsistent.
% 196.61/33.54  | | | | | 
% 196.61/33.54  | | | | Case 2:
% 196.61/33.54  | | | | | 
% 196.61/33.54  | | | | |   (78)   ~ (all_54_7 = e3)
% 196.61/33.54  | | | | |   (79)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 196.61/33.54  | | | | | 
% 196.61/33.54  | | | | | BETA: splitting (79) gives:
% 196.61/33.54  | | | | | 
% 196.61/33.54  | | | | | Case 1:
% 196.61/33.54  | | | | | | 
% 196.61/33.54  | | | | | |   (80)  all_54_7 = e2
% 196.61/33.54  | | | | | | 
% 196.61/33.54  | | | | | | COMBINE_EQS: (7), (80) imply:
% 196.61/33.54  | | | | | |   (81)  all_52_13 = e2
% 196.61/33.54  | | | | | | 
% 196.61/33.54  | | | | | | REDUCE: (37), (81) imply:
% 196.61/33.54  | | | | | |   (82)   ~ (all_52_1 = e2)
% 196.61/33.54  | | | | | | 
% 196.61/33.54  | | | | | | REDUCE: (5), (81) imply:
% 196.61/33.54  | | | | | |   (83)   ~ (e3 = e2)
% 196.61/33.54  | | | | | | 
% 196.61/33.54  | | | | | | SIMP: (83) implies:
% 196.61/33.54  | | | | | |   (84)   ~ (e3 = e2)
% 196.61/33.54  | | | | | | 
% 196.61/33.54  | | | | | | REDUCE: (26), (81) imply:
% 196.61/33.54  | | | | | |   (85)   ~ (e2 = e1)
% 196.61/33.54  | | | | | | 
% 196.61/33.54  | | | | | | REDUCE: (70), (81) imply:
% 196.61/33.54  | | | | | |   (86)   ~ (e2 = e0)
% 196.61/33.54  | | | | | | 
% 196.61/33.54  | | | | | | BETA: splitting (27) gives:
% 196.61/33.54  | | | | | | 
% 196.61/33.54  | | | | | | Case 1:
% 196.61/33.54  | | | | | | | 
% 196.61/33.54  | | | | | | |   (87)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.61/33.54  | | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.61/33.54  | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.61/33.54  | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 196.61/33.54  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 196.61/33.54  | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.61/33.54  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.61/33.54  | | | | | | |           $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3 &  ~
% 196.61/33.54  | | | | | | |           (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.61/33.54  | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1,
% 196.61/33.54  | | | | | | |             e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.61/33.54  | | | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 196.61/33.54  | | | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.54  | | | | | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.54  | | | | | | |           $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 196.61/33.54  | | | | | | |           all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.61/33.54  | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.61/33.54  | | | | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.61/33.54  | | | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.54  | | | | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.61/33.54  | | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 196.61/33.54  | | | | | | |           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.61/33.54  | | | | | | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.61/33.54  | | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.54  | | | | | | |           all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.54  | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.61/33.54  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.61/33.54  | | | | | | |             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.54  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.54  | | | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 196.61/33.54  | | | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.54  | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 196.61/33.54  | | | | | | |             e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.54  | | | | | | | 
% 196.61/33.54  | | | | | | | BETA: splitting (87) gives:
% 196.61/33.54  | | | | | | | 
% 196.61/33.54  | | | | | | | Case 1:
% 196.61/33.54  | | | | | | | | 
% 196.61/33.54  | | | | | | | |   (88)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 196.61/33.54  | | | | | | | |           ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.61/33.54  | | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.61/33.54  | | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 196.61/33.54  | | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 196.61/33.54  | | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.61/33.54  | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 196.61/33.54  | | | | | | | |           & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3 & 
% 196.61/33.54  | | | | | | | |           ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.61/33.54  | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1,
% 196.61/33.54  | | | | | | | |             e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.61/33.54  | | | | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) & 
% 196.61/33.54  | | | | | | | |           ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.54  | | | | | | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.54  | | | | | | | |           $i(all_57_2) & $i(all_57_14))
% 196.61/33.54  | | | | | | | | 
% 196.61/33.54  | | | | | | | | BETA: splitting (88) gives:
% 196.61/33.54  | | | | | | | | 
% 196.61/33.54  | | | | | | | | Case 1:
% 196.61/33.54  | | | | | | | | | 
% 196.61/33.54  | | | | | | | | |   (89)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.61/33.54  | | | | | | | | |            ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.61/33.54  | | | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3
% 196.61/33.54  | | | | | | | | |           & $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 196.61/33.54  | | | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.61/33.54  | | | | | | | | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.61/33.54  | | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.54  | | | | | | | | |           $i(all_57_2) & $i(all_57_12))
% 196.61/33.54  | | | | | | | | | 
% 196.61/33.54  | | | | | | | | | REF_CLOSE: (12), (51), (82), (89) are inconsistent by
% 196.61/33.54  | | | | | | | | |            sub-proof #1784.
% 196.61/33.54  | | | | | | | | | 
% 196.61/33.54  | | | | | | | | Case 2:
% 196.61/33.54  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | |   (90)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &
% 196.61/33.55  | | | | | | | | |            ~ (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.61/33.55  | | | | | | | | |             e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.55  | | | | | | | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.61/33.55  | | | | | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &
% 196.61/33.55  | | | | | | | | |            ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.55  | | | | | | | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3
% 196.61/33.55  | | | | | | | | |           & $i(all_57_2) & $i(all_57_14))
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | REF_CLOSE: (4), (12), (14), (43), (48), (90) are inconsistent
% 196.61/33.55  | | | | | | | | |            by sub-proof #1678.
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | |   (91)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) & 
% 196.61/33.55  | | | | | | | |           ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.61/33.55  | | | | | | | |             e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.55  | | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 196.61/33.55  | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.61/33.55  | | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.61/33.55  | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 196.61/33.55  | | | | | | | |           & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 & 
% 196.61/33.55  | | | | | | | |           ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) =
% 196.61/33.55  | | | | | | | |           e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.61/33.55  | | | | | | | |             e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.61/33.55  | | | | | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) & 
% 196.61/33.55  | | | | | | | |           ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 196.61/33.55  | | | | | | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.55  | | | | | | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.61/33.55  | | | | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 196.61/33.55  | | | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.55  | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7)
% 196.61/33.55  | | | | | | | |           & $i(all_57_10))
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | | BETA: splitting (91) gives:
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | |   (92)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 196.61/33.55  | | | | | | | | |            ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.55  | | | | | | | | |           op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1)
% 196.61/33.55  | | | | | | | | |           = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3 =
% 196.61/33.55  | | | | | | | | |           e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.61/33.55  | | | | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.61/33.55  | | | | | | | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2
% 196.61/33.55  | | | | | | | | |           & $i(all_57_5) & $i(all_57_10))
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | REF_CLOSE: (2), (12), (47), (84), (85), (92) are inconsistent
% 196.61/33.55  | | | | | | | | |            by sub-proof #1081.
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | |   (93)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &
% 196.61/33.55  | | | | | | | | |            ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.55  | | | | | | | | |           all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 196.61/33.55  | | | | | | | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.61/33.55  | | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.61/33.55  | | | | | | | | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.55  | | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.55  | | | | | | | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.61/33.55  | | | | | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.61/33.55  | | | | | | | | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.55  | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.61/33.55  | | | | | | | | |           $i(all_57_7) & $i(all_57_10))
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | REF_CLOSE: (6), (12), (22), (46), (50), (93) are inconsistent
% 196.61/33.55  | | | | | | | | |            by sub-proof #1677.
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | End of split
% 196.61/33.55  | | | | | | | 
% 196.61/33.55  | | | | | | Case 2:
% 196.61/33.55  | | | | | | | 
% 196.61/33.55  | | | | | | |   (94)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.55  | | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 196.61/33.55  | | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 196.61/33.55  | | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 196.61/33.55  | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.61/33.55  | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.55  | | | | | | |             e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.55  | | | | | | |           $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 196.61/33.55  | | | | | | |           (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.61/33.55  | | | | | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 196.61/33.55  | | | | | | |           op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.55  | | | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.61/33.55  | | | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 196.61/33.55  | | | | | | |           e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.55  | | | | | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.61/33.55  | | | | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 196.61/33.55  | | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.55  | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10)
% 196.61/33.55  | | | | | | |           & $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~
% 196.61/33.55  | | | | | | |           (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0
% 196.61/33.55  | | | | | | |           & op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.61/33.55  | | | | | | |           op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.61/33.55  | | | | | | |         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 196.61/33.55  | | | | | | |           (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.61/33.55  | | | | | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.55  | | | | | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 196.61/33.55  | | | | | | |           all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 =
% 196.61/33.55  | | | | | | |             e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.55  | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12)
% 196.61/33.55  | | | | | | |           & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 196.61/33.55  | | | | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0
% 196.61/33.55  | | | | | | |           & op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 196.61/33.55  | | | | | | |           op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.61/33.55  | | | | | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0
% 196.61/33.55  | | | | | | |               & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.55  | | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.61/33.55  | | | | | | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.61/33.55  | | | | | | |             (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.61/33.55  | | | | | | |                ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 196.61/33.55  | | | | | | |                 e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.55  | | | | | | |             (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &
% 196.61/33.55  | | | | | | |                ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.55  | | | | | | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.55  | | | | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 196.61/33.55  | | | | | | |                ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1,
% 196.61/33.55  | | | | | | |                 e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.61/33.55  | | | | | | |             (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &
% 196.61/33.55  | | | | | | |                ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.61/33.55  | | | | | | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.61/33.55  | | | | | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 196.61/33.55  | | | | | | |                ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.55  | | | | | | |               all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.55  | | | | | | | 
% 196.61/33.55  | | | | | | | BETA: splitting (94) gives:
% 196.61/33.55  | | | | | | | 
% 196.61/33.55  | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | |   (95)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) & 
% 196.61/33.55  | | | | | | | |           ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 196.61/33.55  | | | | | | | |             e1) = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 196.61/33.55  | | | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 196.61/33.55  | | | | | | | |           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.61/33.55  | | | | | | | |             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.55  | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.55  | | | | | | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.61/33.55  | | | | | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 196.61/33.55  | | | | | | | |             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.55  | | | | | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8)
% 196.61/33.55  | | | | | | | |           & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 & 
% 196.61/33.55  | | | | | | | |           ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3)
% 196.61/33.55  | | | | | | | |           = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.61/33.55  | | | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.55  | | | | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 196.61/33.55  | | | | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 196.61/33.55  | | | | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1,
% 196.61/33.55  | | | | | | | |             e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | | BETA: splitting (95) gives:
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | |   (96)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &
% 196.61/33.55  | | | | | | | | |            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.55  | | | | | | | | |           op(e3, e1) = e3 & op(e0, e1) = all_57_8 & op(e0, e0)
% 196.61/33.55  | | | | | | | | |           = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7 =
% 196.61/33.55  | | | | | | | | |           e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.61/33.55  | | | | | | | | |           (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.61/33.55  | | | | | | | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2
% 196.61/33.55  | | | | | | | | |           & $i(all_57_6) & $i(all_57_12))
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | REF_CLOSE: (12), (32), (47), (48), (96) are inconsistent by
% 196.61/33.55  | | | | | | | | |            sub-proof #1045.
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | |   (97)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &
% 196.61/33.55  | | | | | | | | |            ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.61/33.55  | | | | | | | | |           op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 196.61/33.55  | | | | | | | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 =
% 196.61/33.55  | | | | | | | | |           e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.61/33.55  | | | | | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.61/33.55  | | | | | | | | |             e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 196.61/33.55  | | | | | | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 196.61/33.55  | | | | | | | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.55  | | | | | | | | |           &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.55  | | | | | | | | |           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.61/33.55  | | | | | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | REF_CLOSE: (12), (33), (44), (47), (48), (97) are inconsistent
% 196.61/33.55  | | | | | | | | |            by sub-proof #1189.
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | |   (98)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) & 
% 196.61/33.55  | | | | | | | |           ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.61/33.55  | | | | | | | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.55  | | | | | | | |           $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 196.61/33.55  | | | | | | | |           all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 196.61/33.55  | | | | | | | |             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.55  | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.55  | | | | | | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 196.61/33.55  | | | | | | | |           all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 =
% 196.61/33.55  | | | | | | | |             e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.55  | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.55  | | | | | | | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 196.61/33.55  | | | | | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 196.61/33.55  | | | | | | | |             e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.55  | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.55  | | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.55  | | | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.61/33.55  | | | | | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.55  | | | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.61/33.55  | | | | | | | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.61/33.55  | | | | | | | |             (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 196.61/33.55  | | | | | | | |               &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.61/33.55  | | | | | | | |               op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 196.61/33.55  | | | | | | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.61/33.55  | | | | | | | |                 e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.61/33.55  | | | | | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.61/33.55  | | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 & 
% 196.61/33.55  | | | | | | | |               ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 196.61/33.55  | | | | | | | |                 e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.55  | | | | | | | |               e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 196.61/33.55  | | | | | | | |               e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.61/33.55  | | | | | | | |               op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.61/33.55  | | | | | | | |                 e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.61/33.55  | | | | | | | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.55  | | | | | | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.55  | | | | | | | |               all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | | BETA: splitting (98) gives:
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | |   (99)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.55  | | | | | | | | |           &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 196.61/33.55  | | | | | | | | |           = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) =
% 196.61/33.55  | | | | | | | | |           e2 & $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0
% 196.61/33.55  | | | | | | | | |           & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 196.61/33.55  | | | | | | | | |           (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.61/33.55  | | | | | | | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 196.61/33.55  | | | | | | | | |           & $i(all_57_9) & $i(all_57_14))
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | REF_CLOSE: (12), (32), (72), (99) are inconsistent by
% 196.61/33.55  | | | | | | | | |            sub-proof #1960.
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | |   (100)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.55  | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.55  | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.55  | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.55  | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &
% 196.61/33.55  | | | | | | | | |             ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2,
% 196.61/33.55  | | | | | | | | |              e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 196.61/33.55  | | | | | | | | |            all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.55  | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.61/33.55  | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 & 
% 196.61/33.55  | | | | | | | | |                ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.55  | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.61/33.55  | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 =
% 196.61/33.55  | | | | | | | | |                e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.61/33.55  | | | | | | | | |                (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.61/33.55  | | | | | | | | |                op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.55  | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 196.61/33.55  | | | | | | | | |                &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.61/33.55  | | | | | | | | |                op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.61/33.55  | | | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 =
% 196.61/33.55  | | | | | | | | |                e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.61/33.55  | | | | | | | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 &
% 196.61/33.55  | | | | | | | | |                op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.55  | | | | | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.61/33.55  | | | | | | | | |                &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.61/33.55  | | | | | | | | |                op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.55  | | | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.55  | | | | | | | | |                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.55  | | | | | | | | |                (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.61/33.55  | | | | | | | | |                = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | BETA: splitting (100) gives:
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | |   (101)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.55  | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.55  | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.55  | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.55  | | | | | | | | | |          $i(all_57_13)
% 196.61/33.55  | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | ALPHA: (101) implies:
% 196.61/33.55  | | | | | | | | | |   (102)  op(e1, e1) = e0
% 196.61/33.55  | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | REF_CLOSE: (2), (12), (74), (102) are inconsistent by
% 196.61/33.55  | | | | | | | | | |            sub-proof #1959.
% 196.61/33.55  | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | |   (103)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.55  | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.61/33.55  | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 196.61/33.55  | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14))
% 196.61/33.55  | | | | | | | | | |          | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.55  | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.55  | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.55  | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.61/33.55  | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.61/33.55  | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.61/33.55  | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.55  | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.55  | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.61/33.55  | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.61/33.55  | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.61/33.55  | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.61/33.55  | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.61/33.55  | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.61/33.55  | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.61/33.55  | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.61/33.55  | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.61/33.55  | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.61/33.55  | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.61/33.55  | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.61/33.55  | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.55  | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.55  | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | BETA: splitting (103) gives:
% 196.61/33.55  | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | |   (104)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.55  | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.61/33.55  | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 196.61/33.55  | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 196.61/33.55  | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | ALPHA: (104) implies:
% 196.61/33.55  | | | | | | | | | | |   (105)  op(e1, e0) = e1
% 196.61/33.55  | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | REF_CLOSE: (12), (25), (34), (105) are inconsistent by
% 196.61/33.55  | | | | | | | | | | |            sub-proof #1958.
% 196.61/33.55  | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | |   (106)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.55  | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.55  | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.55  | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.55  | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.61/33.55  | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 196.61/33.55  | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.61/33.55  | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 196.61/33.55  | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.61/33.55  | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.61/33.55  | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 196.61/33.55  | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.61/33.55  | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 196.61/33.55  | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.55  | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 196.61/33.55  | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.61/33.55  | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.55  | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.55  | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.61/33.55  | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 196.61/33.55  | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.61/33.55  | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 196.61/33.55  | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | ALPHA: (106) implies:
% 196.61/33.55  | | | | | | | | | | |   (107)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.55  | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.55  | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.55  | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 196.61/33.55  | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.61/33.55  | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.61/33.55  | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.61/33.55  | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.61/33.55  | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.61/33.55  | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.55  | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.55  | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.55  | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.55  | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.61/33.55  | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.61/33.55  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.61/33.55  | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.61/33.55  | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.55  | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.61/33.55  | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.61/33.55  | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | BETA: splitting (107) gives:
% 196.61/33.55  | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | |   (108)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.55  | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.55  | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.55  | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 196.61/33.55  | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.61/33.55  | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.61/33.55  | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.61/33.55  | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.61/33.55  | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.61/33.55  | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.61/33.55  | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | BETA: splitting (108) gives:
% 196.61/33.55  | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | |   (109)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.55  | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.55  | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.55  | | | | | | | | | | | | |          $i(all_57_0)
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | ALPHA: (109) implies:
% 196.61/33.55  | | | | | | | | | | | | |   (110)  op(e2, e2) = e3
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | REF_CLOSE: (12), (14), (48), (110) are inconsistent by
% 196.61/33.55  | | | | | | | | | | | | |            sub-proof #1679.
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | |   (111)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.55  | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.61/33.55  | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.55  | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 196.61/33.55  | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.61/33.55  | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.61/33.55  | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | BETA: splitting (111) gives:
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | |   (112)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.55  | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.61/33.55  | | | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.55  | | | | | | | | | | | | | |          $i(all_57_1)
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | ALPHA: (112) implies:
% 196.61/33.55  | | | | | | | | | | | | | |   (113)  op(e1, e1) = e3
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (12), (16), (18), (19), (31), (48),
% 196.61/33.55  | | | | | | | | | | | | | |            (72), (74), (84), (85), (86), (113) are
% 196.61/33.55  | | | | | | | | | | | | | |            inconsistent by sub-proof #1092.
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | |   (114)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.61/33.55  | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.61/33.55  | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.61/33.55  | | | | | | | | | | | | | |          $i(all_57_3)
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | ALPHA: (114) implies:
% 196.61/33.55  | | | | | | | | | | | | | |   (115)  op(e3, e3) = e2
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | REF_CLOSE: (12), (32), (84), (115) are inconsistent by
% 196.61/33.55  | | | | | | | | | | | | | |            sub-proof #1957.
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | |   (116)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.55  | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.55  | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.55  | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.61/33.55  | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.61/33.55  | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.61/33.55  | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.61/33.55  | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.55  | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.61/33.55  | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.61/33.55  | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | BETA: splitting (116) gives:
% 196.61/33.55  | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | |   (117)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.55  | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.55  | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.55  | | | | | | | | | | | | |          $i(all_57_4)
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | ALPHA: (117) implies:
% 196.61/33.55  | | | | | | | | | | | | |   (118)  op(e1, e1) = e2
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | REF_CLOSE: (2), (12), (85), (118) are inconsistent by
% 196.61/33.55  | | | | | | | | | | | | |            sub-proof #1955.
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | |   (119)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.61/33.55  | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.61/33.55  | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.55  | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 196.61/33.55  | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.55  | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.61/33.55  | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | BETA: splitting (119) gives:
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | |   (120)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.61/33.55  | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.61/33.55  | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.55  | | | | | | | | | | | | | |          $i(all_57_6)
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | ALPHA: (120) implies:
% 196.61/33.55  | | | | | | | | | | | | | |   (121)  op(e3, e3) = e1
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | REF_CLOSE: (12), (32), (48), (121) are inconsistent by
% 196.61/33.55  | | | | | | | | | | | | | |            sub-proof #1966.
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | |   (122)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.61/33.55  | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.61/33.55  | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.55  | | | | | | | | | | | | | |          $i(all_57_7)
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | ALPHA: (122) implies:
% 196.61/33.55  | | | | | | | | | | | | | |   (123)  op(e0, e1) = e0
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_52_11, e0, e1, e0,
% 196.61/33.55  | | | | | | | | | | | | | |              simplifying with (31), (123) gives:
% 196.61/33.55  | | | | | | | | | | | | | |   (124)  all_52_11 = e0
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_52_4, all_44_0, e2,
% 196.61/33.55  | | | | | | | | | | | | | |              e3, simplifying with (13), (60) gives:
% 196.61/33.55  | | | | | | | | | | | | | |   (125)  all_52_4 = all_44_0
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | COMBINE_EQS: (49), (125) imply:
% 196.61/33.55  | | | | | | | | | | | | | |   (126)  all_54_1 = all_44_0
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | REDUCE: (21), (125) imply:
% 196.61/33.55  | | | | | | | | | | | | | |   (127)   ~ (all_52_7 = all_44_0)
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | SIMP: (127) implies:
% 196.61/33.55  | | | | | | | | | | | | | |   (128)   ~ (all_52_7 = all_44_0)
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | REDUCE: (1), (125) imply:
% 196.61/33.55  | | | | | | | | | | | | | |   (129)   ~ (all_44_0 = e3)
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | REDUCE: (38), (125) imply:
% 196.61/33.55  | | | | | | | | | | | | | |   (130)   ~ (all_44_0 = e1)
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | REDUCE: (17), (124) imply:
% 196.61/33.55  | | | | | | | | | | | | | |   (131)   ~ (all_52_7 = e0)
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | |   (132)  all_54_13 = e3
% 196.61/33.55  | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | REF_CLOSE: (20), (45), (132) are inconsistent by sub-proof
% 196.61/33.55  | | | | | | | | | | | | | | |            #1445.
% 196.61/33.55  | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | |   (133)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.61/33.55  | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 196.61/33.55  | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | |   (134)  all_54_1 = e3
% 196.61/33.55  | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | COMBINE_EQS: (126), (134) imply:
% 196.61/33.55  | | | | | | | | | | | | | | | |   (135)  all_44_0 = e3
% 196.61/33.55  | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | REDUCE: (129), (135) imply:
% 196.61/33.55  | | | | | | | | | | | | | | | |   (136)  $false
% 196.61/33.55  | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | CLOSE: (136) is inconsistent.
% 196.61/33.55  | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | |   (137)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.61/33.55  | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 196.61/33.55  | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | |   (138)  all_54_13 = e2
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (138) imply:
% 196.61/33.55  | | | | | | | | | | | | | | | | |   (139)  all_52_7 = e2
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | SIMP: (139) implies:
% 196.61/33.55  | | | | | | | | | | | | | | | | |   (140)  all_52_7 = e2
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | REDUCE: (128), (140) imply:
% 196.61/33.55  | | | | | | | | | | | | | | | | |   (141)   ~ (all_44_0 = e2)
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | SIMP: (141) implies:
% 196.61/33.55  | | | | | | | | | | | | | | | | |   (142)   ~ (all_44_0 = e2)
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.55  | | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | |   (143)  all_54_1 = e2
% 196.61/33.55  | | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (126), (143) imply:
% 196.61/33.55  | | | | | | | | | | | | | | | | | |   (144)  all_44_0 = e2
% 196.61/33.55  | | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | | REDUCE: (142), (144) imply:
% 196.61/33.55  | | | | | | | | | | | | | | | | | |   (145)  $false
% 196.61/33.55  | | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | | CLOSE: (145) is inconsistent.
% 196.61/33.55  | | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | |   (146)  all_54_1 = e1 | all_54_1 = e0
% 196.61/33.55  | | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (126), (130), (146) are inconsistent by
% 196.61/33.55  | | | | | | | | | | | | | | | | | |            sub-proof #1044.
% 196.61/33.55  | | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | |   (147)  all_54_13 = e1 | all_54_13 = e0
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (30), (131), (147) are inconsistent by
% 196.61/33.55  | | | | | | | | | | | | | | | | |            sub-proof #1652.
% 196.61/33.55  | | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | | 
% 196.61/33.55  | | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | | 
% 196.61/33.55  | | | | | | | | End of split
% 196.61/33.55  | | | | | | | | 
% 196.61/33.55  | | | | | | | End of split
% 196.61/33.55  | | | | | | | 
% 196.61/33.55  | | | | | | End of split
% 196.61/33.55  | | | | | | 
% 196.61/33.55  | | | | | Case 2:
% 196.61/33.55  | | | | | | 
% 196.61/33.55  | | | | | |   (148)  all_54_7 = e1 | all_54_7 = e0
% 196.61/33.55  | | | | | | 
% 196.61/33.55  | | | | | | REF_CLOSE: (7), (26), (70), (148) are inconsistent by sub-proof
% 196.61/33.55  | | | | | |            #1376.
% 196.61/33.55  | | | | | | 
% 196.61/33.55  | | | | | End of split
% 196.61/33.55  | | | | | 
% 196.61/33.55  | | | | End of split
% 196.61/33.55  | | | | 
% 196.61/33.55  | | | End of split
% 196.61/33.55  | | | 
% 196.61/33.55  | | End of split
% 196.61/33.55  | | 
% 196.61/33.55  | End of split
% 196.61/33.55  | 
% 196.61/33.55  End of proof
% 196.61/33.55  
% 196.61/33.55  Sub-proof #1044 shows that the following formulas are inconsistent:
% 196.61/33.55  ----------------------------------------------------------------
% 196.61/33.55    (1)  all_54_1 = e1 | all_54_1 = e0
% 196.61/33.55    (2)  all_54_1 = all_44_0
% 196.61/33.55    (3)   ~ (all_44_0 = e1)
% 196.61/33.55    (4)   ~ (all_44_0 = e0)
% 196.61/33.55  
% 196.61/33.55  Begin of proof
% 196.61/33.55  | 
% 196.61/33.55  | BETA: splitting (1) gives:
% 196.61/33.55  | 
% 196.61/33.55  | Case 1:
% 196.61/33.55  | | 
% 196.61/33.55  | |   (5)  all_54_1 = e1
% 196.61/33.55  | | 
% 196.61/33.55  | | COMBINE_EQS: (2), (5) imply:
% 196.61/33.55  | |   (6)  all_44_0 = e1
% 196.61/33.55  | | 
% 196.61/33.55  | | REDUCE: (3), (6) imply:
% 196.61/33.55  | |   (7)  $false
% 196.61/33.55  | | 
% 196.61/33.55  | | CLOSE: (7) is inconsistent.
% 196.61/33.55  | | 
% 196.61/33.55  | Case 2:
% 196.61/33.55  | | 
% 196.61/33.55  | |   (8)  all_54_1 = e0
% 196.61/33.55  | | 
% 196.61/33.55  | | COMBINE_EQS: (2), (8) imply:
% 196.61/33.55  | |   (9)  all_44_0 = e0
% 196.61/33.55  | | 
% 196.61/33.55  | | REDUCE: (4), (9) imply:
% 196.61/33.55  | |   (10)  $false
% 196.61/33.55  | | 
% 196.61/33.55  | | CLOSE: (10) is inconsistent.
% 196.61/33.55  | | 
% 196.61/33.55  | End of split
% 196.61/33.55  | 
% 196.61/33.55  End of proof
% 196.61/33.55  
% 196.61/33.55  Sub-proof #1045 shows that the following formulas are inconsistent:
% 196.61/33.55  ----------------------------------------------------------------
% 196.61/33.55    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.55    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.61/33.55             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.55           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 196.61/33.55           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.55           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 196.61/33.55           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 196.61/33.55    (3)  op(e3, e3) = e3
% 196.61/33.55    (4)  op(e0, e0) = e3
% 196.61/33.55    (5)   ~ (e3 = e1)
% 196.61/33.55  
% 196.61/33.55  Begin of proof
% 196.61/33.55  | 
% 196.61/33.55  | BETA: splitting (2) gives:
% 196.61/33.55  | 
% 196.61/33.55  | Case 1:
% 196.61/33.55  | | 
% 196.61/33.55  | |   (6)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 196.61/33.55  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.55  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 196.61/33.55  | | 
% 196.61/33.55  | | ALPHA: (6) implies:
% 196.61/33.55  | |   (7)  op(e0, e0) = e1
% 196.61/33.55  | | 
% 196.61/33.55  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1392.
% 196.61/33.55  | | 
% 196.61/33.55  | Case 2:
% 196.61/33.55  | | 
% 196.61/33.55  | |   (8)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.61/33.55  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.61/33.55  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 196.61/33.55  | | 
% 196.61/33.55  | | ALPHA: (8) implies:
% 196.61/33.55  | |   (9)  op(e3, e3) = e1
% 196.61/33.55  | | 
% 196.61/33.55  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #1966.
% 196.61/33.55  | | 
% 196.61/33.55  | End of split
% 196.61/33.55  | 
% 196.61/33.55  End of proof
% 196.61/33.55  
% 196.61/33.55  Sub-proof #1046 shows that the following formulas are inconsistent:
% 196.61/33.55  ----------------------------------------------------------------
% 196.61/33.55    (1)  all_54_11 = all_48_0
% 196.61/33.55    (2)  all_54_11 = e1
% 196.61/33.55    (3)   ~ (all_48_0 = e1)
% 196.61/33.55  
% 196.61/33.55  Begin of proof
% 196.61/33.55  | 
% 196.61/33.55  | COMBINE_EQS: (1), (2) imply:
% 196.61/33.55  |   (4)  all_48_0 = e1
% 196.61/33.55  | 
% 196.61/33.55  | SIMP: (4) implies:
% 196.61/33.55  |   (5)  all_48_0 = e1
% 196.61/33.55  | 
% 196.61/33.55  | REDUCE: (3), (5) imply:
% 196.61/33.56  |   (6)  $false
% 196.61/33.56  | 
% 196.61/33.56  | CLOSE: (6) is inconsistent.
% 196.61/33.56  | 
% 196.61/33.56  End of proof
% 196.61/33.56  
% 196.61/33.56  Sub-proof #1047 shows that the following formulas are inconsistent:
% 196.61/33.56  ----------------------------------------------------------------
% 196.61/33.56    (1)  all_54_11 = all_48_0
% 196.61/33.56    (2)  all_54_11 = e2
% 196.61/33.56    (3)   ~ (all_48_0 = e2)
% 196.61/33.56  
% 196.61/33.56  Begin of proof
% 196.61/33.56  | 
% 196.61/33.56  | COMBINE_EQS: (1), (2) imply:
% 196.61/33.56  |   (4)  all_48_0 = e2
% 196.61/33.56  | 
% 196.61/33.56  | SIMP: (4) implies:
% 196.61/33.56  |   (5)  all_48_0 = e2
% 196.61/33.56  | 
% 196.61/33.56  | REDUCE: (3), (5) imply:
% 196.61/33.56  |   (6)  $false
% 196.61/33.56  | 
% 196.61/33.56  | CLOSE: (6) is inconsistent.
% 196.61/33.56  | 
% 196.61/33.56  End of proof
% 196.61/33.56  
% 196.61/33.56  Sub-proof #1048 shows that the following formulas are inconsistent:
% 196.61/33.56  ----------------------------------------------------------------
% 196.61/33.56    (1)  all_54_11 = all_48_0
% 196.61/33.56    (2)  all_54_11 = e3
% 196.61/33.56    (3)   ~ (all_48_0 = e3)
% 196.61/33.56  
% 196.61/33.56  Begin of proof
% 196.61/33.56  | 
% 196.61/33.56  | COMBINE_EQS: (1), (2) imply:
% 196.61/33.56  |   (4)  all_48_0 = e3
% 196.61/33.56  | 
% 196.61/33.56  | SIMP: (4) implies:
% 196.61/33.56  |   (5)  all_48_0 = e3
% 196.61/33.56  | 
% 196.61/33.56  | REDUCE: (3), (5) imply:
% 196.61/33.56  |   (6)  $false
% 196.61/33.56  | 
% 196.61/33.56  | CLOSE: (6) is inconsistent.
% 196.61/33.56  | 
% 196.61/33.56  End of proof
% 196.61/33.56  
% 196.61/33.56  Sub-proof #1049 shows that the following formulas are inconsistent:
% 196.61/33.56  ----------------------------------------------------------------
% 196.61/33.56    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.56    (2)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.61/33.56    (3)  op(e1, e0) = all_52_14
% 196.61/33.56    (4)   ~ (all_52_14 = e1)
% 196.61/33.56    (5)  op(e0, e0) = e3
% 196.61/33.56    (6)   ~ (e3 = e1)
% 196.61/33.56  
% 196.61/33.56  Begin of proof
% 196.61/33.56  | 
% 196.61/33.56  | BETA: splitting (2) gives:
% 196.61/33.56  | 
% 196.61/33.56  | Case 1:
% 196.61/33.56  | | 
% 196.61/33.56  | |   (7)  all_56_11 = e1 & op(e1, e0) = e1
% 196.61/33.56  | | 
% 196.61/33.56  | | ALPHA: (7) implies:
% 196.61/33.56  | |   (8)  op(e1, e0) = e1
% 196.61/33.56  | | 
% 196.61/33.56  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1958.
% 196.61/33.56  | | 
% 196.61/33.56  | Case 2:
% 196.61/33.56  | | 
% 196.61/33.56  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 196.61/33.56  | | 
% 196.61/33.56  | | ALPHA: (9) implies:
% 196.61/33.56  | |   (10)  op(e0, e0) = e1
% 196.61/33.56  | | 
% 196.61/33.56  | | REF_CLOSE: (1), (5), (6), (10) are inconsistent by sub-proof #1392.
% 196.61/33.56  | | 
% 196.61/33.56  | End of split
% 196.61/33.56  | 
% 196.61/33.56  End of proof
% 196.61/33.56  
% 196.61/33.56  Sub-proof #1050 shows that the following formulas are inconsistent:
% 196.61/33.56  ----------------------------------------------------------------
% 196.61/33.56    (1)  all_54_0 = all_6_2
% 196.61/33.56    (2)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 196.61/33.56             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 196.61/33.56           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.61/33.56         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 196.61/33.56             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 196.61/33.56           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 196.61/33.56    (3)  op(e3, e3) = all_6_2
% 196.61/33.56    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.56    (5)   ~ (all_6_2 = e0)
% 196.61/33.56    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.61/33.56    (7)   ~ (all_6_2 = e1)
% 196.61/33.56    (8)   ~ (all_6_2 = e2)
% 196.61/33.56  
% 196.61/33.56  Begin of proof
% 196.61/33.56  | 
% 196.61/33.56  | BETA: splitting (2) gives:
% 196.61/33.56  | 
% 196.61/33.56  | Case 1:
% 196.61/33.56  | | 
% 196.61/33.56  | |   (9)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 196.61/33.56  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 196.61/33.56  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 196.61/33.56  | | 
% 196.61/33.56  | | ALPHA: (9) implies:
% 196.61/33.56  | |   (10)  op(e3, e3) = e0
% 196.61/33.56  | | 
% 196.61/33.56  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10) are inconsistent by
% 196.61/33.56  | |            sub-proof #1051.
% 196.61/33.56  | | 
% 196.61/33.56  | Case 2:
% 196.61/33.56  | | 
% 196.61/33.56  | |   (11)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 196.61/33.56  | |           = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 196.61/33.56  | |         all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 196.61/33.56  | | 
% 196.61/33.56  | | ALPHA: (11) implies:
% 196.61/33.56  | |   (12)  op(e3, e3) = e0
% 196.61/33.56  | | 
% 196.61/33.56  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (12) are inconsistent by
% 196.61/33.56  | |            sub-proof #1051.
% 196.61/33.56  | | 
% 196.61/33.56  | End of split
% 196.61/33.56  | 
% 196.61/33.56  End of proof
% 196.61/33.56  
% 196.61/33.56  Sub-proof #1051 shows that the following formulas are inconsistent:
% 196.61/33.56  ----------------------------------------------------------------
% 196.61/33.56    (1)  op(e3, e3) = e0
% 196.61/33.56    (2)  all_54_0 = all_6_2
% 196.61/33.56    (3)  op(e3, e3) = all_6_2
% 196.61/33.56    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.56    (5)   ~ (all_6_2 = e0)
% 196.61/33.56    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.61/33.56    (7)   ~ (all_6_2 = e1)
% 196.61/33.56    (8)   ~ (all_6_2 = e2)
% 196.61/33.56  
% 196.61/33.56  Begin of proof
% 196.61/33.56  | 
% 196.61/33.56  | BETA: splitting (6) gives:
% 196.61/33.56  | 
% 196.61/33.56  | Case 1:
% 196.61/33.56  | | 
% 196.61/33.56  | |   (9)  all_54_0 = e3
% 196.61/33.56  | | 
% 196.61/33.56  | | COMBINE_EQS: (2), (9) imply:
% 196.61/33.56  | |   (10)  all_6_2 = e3
% 196.61/33.56  | | 
% 196.61/33.56  | | SIMP: (10) implies:
% 196.61/33.56  | |   (11)  all_6_2 = e3
% 196.61/33.56  | | 
% 196.61/33.56  | | REDUCE: (5), (11) imply:
% 196.61/33.56  | |   (12)   ~ (e3 = e0)
% 196.61/33.56  | | 
% 196.61/33.56  | | REDUCE: (3), (11) imply:
% 196.61/33.56  | |   (13)  op(e3, e3) = e3
% 196.61/33.56  | | 
% 196.61/33.56  | | REF_CLOSE: (1), (4), (12), (13) are inconsistent by sub-proof #1961.
% 196.61/33.56  | | 
% 196.61/33.56  | Case 2:
% 196.61/33.56  | | 
% 196.61/33.56  | |   (14)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.61/33.56  | | 
% 196.61/33.56  | | REF_CLOSE: (2), (5), (7), (8), (14) are inconsistent by sub-proof #1952.
% 196.61/33.56  | | 
% 196.61/33.56  | End of split
% 196.61/33.56  | 
% 196.61/33.56  End of proof
% 196.61/33.56  
% 196.61/33.56  Sub-proof #1052 shows that the following formulas are inconsistent:
% 196.61/33.56  ----------------------------------------------------------------
% 196.61/33.56    (1)  all_54_0 = all_6_2
% 196.61/33.56    (2)  op(e3, e3) = all_6_2
% 196.61/33.56    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.56    (4)   ~ (all_6_2 = e0)
% 196.61/33.56    (5)  op(e3, e3) = e1
% 196.61/33.56    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.61/33.56    (7)   ~ (all_6_2 = e1)
% 196.61/33.56    (8)   ~ (all_6_2 = e2)
% 196.61/33.56  
% 196.61/33.56  Begin of proof
% 196.61/33.56  | 
% 196.61/33.56  | BETA: splitting (6) gives:
% 196.61/33.56  | 
% 196.61/33.56  | Case 1:
% 196.61/33.56  | | 
% 196.61/33.56  | |   (9)  all_54_0 = e3
% 196.61/33.56  | | 
% 196.61/33.56  | | COMBINE_EQS: (1), (9) imply:
% 196.61/33.56  | |   (10)  all_6_2 = e3
% 196.61/33.56  | | 
% 196.61/33.56  | | SIMP: (10) implies:
% 196.61/33.56  | |   (11)  all_6_2 = e3
% 196.61/33.56  | | 
% 196.61/33.56  | | REDUCE: (7), (11) imply:
% 196.61/33.56  | |   (12)   ~ (e3 = e1)
% 196.61/33.56  | | 
% 196.61/33.56  | | REDUCE: (2), (11) imply:
% 196.61/33.56  | |   (13)  op(e3, e3) = e3
% 196.61/33.56  | | 
% 196.61/33.56  | | REF_CLOSE: (3), (5), (12), (13) are inconsistent by sub-proof #1966.
% 196.61/33.56  | | 
% 196.61/33.56  | Case 2:
% 196.61/33.56  | | 
% 196.61/33.56  | |   (14)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.61/33.56  | | 
% 196.61/33.56  | | REF_CLOSE: (1), (4), (7), (8), (14) are inconsistent by sub-proof #1952.
% 196.61/33.56  | | 
% 196.61/33.56  | End of split
% 196.61/33.56  | 
% 196.61/33.56  End of proof
% 196.61/33.56  
% 196.61/33.56  Sub-proof #1053 shows that the following formulas are inconsistent:
% 196.61/33.56  ----------------------------------------------------------------
% 196.61/33.56    (1)   ~ (all_52_1 = all_4_2)
% 196.61/33.56    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.56         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.61/33.56    (3)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.61/33.56    (4)  op(e1, e1) = e1
% 196.61/33.56    (5)  op(e1, e3) = all_52_2
% 196.61/33.56    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.61/33.56           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.61/33.56           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.61/33.56                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.61/33.56               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.61/33.56               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.56           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.61/33.56           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.56               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.61/33.56           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.61/33.56               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.61/33.56           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.61/33.56           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.61/33.56               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.56               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.61/33.56               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.56         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.61/33.56           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.61/33.56           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.61/33.56               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.61/33.56             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.56         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.61/33.56           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.61/33.56           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.61/33.56                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.61/33.56               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.61/33.56               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.61/33.56           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.61/33.56           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.61/33.56             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.56           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.61/33.56               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.61/33.56           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.61/33.56           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.61/33.56               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.56               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.61/33.56               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.56         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.61/33.56           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.61/33.56           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.61/33.56               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.61/33.56             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.56         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.61/33.56           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.61/33.56           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.61/33.56                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.61/33.56               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.61/33.56               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.61/33.56           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.61/33.56             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.61/33.56               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.56           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.61/33.56               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.61/33.56           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.61/33.56           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.61/33.56               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.56               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.56               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.56         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.61/33.56           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.61/33.56           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.61/33.56               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.61/33.56             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.61/33.56         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.61/33.56             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.56           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.61/33.56               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.61/33.56             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.56         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.61/33.56             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.56           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.61/33.56               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.61/33.56             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.56         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.61/33.56             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.56           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.61/33.56               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.61/33.56             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.56         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.61/33.56             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.56           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.61/33.56               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.61/33.56             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.56    (7)  all_54_4 = all_52_1
% 196.61/33.56    (8)   ~ (all_52_13 = e3)
% 196.61/33.56    (9)  op(e1, e2) = all_52_6
% 196.61/33.56    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.61/33.56          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.61/33.56    (11)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.61/33.56    (12)  all_54_3 = all_52_12
% 196.61/33.56    (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.61/33.56          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.56    (14)  all_56_10 = e1
% 196.61/33.56    (15)   ~ (all_52_1 = all_52_9)
% 196.61/33.56    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.61/33.56          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.61/33.56    (17)   ~ (all_52_6 = all_52_7)
% 196.61/33.56    (18)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.56          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.61/33.56    (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.61/33.56          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.61/33.56    (20)  all_54_2 = all_52_8
% 196.61/33.56    (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.61/33.56          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.61/33.56    (22)   ~ (e3 = e2)
% 196.61/33.56    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.56            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.56    (24)  op(e3, e2) = all_52_4
% 196.61/33.56    (25)  op(e2, e2) = all_4_2
% 196.61/33.56    (26)   ~ (all_52_12 = all_52_13)
% 196.61/33.56    (27)  op(e3, e3) = e1
% 196.61/33.56    (28)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.61/33.56    (29)   ~ (all_52_7 = all_52_11)
% 196.61/33.56    (30)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.56          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.56    (31)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.56          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.56    (32)   ~ (all_52_3 = all_52_7)
% 196.61/33.56    (33)  all_54_12 = all_52_3
% 196.61/33.56    (34)   ~ (all_52_4 = all_52_8)
% 196.61/33.56    (35)   ~ (all_52_4 = all_52_7)
% 196.61/33.56    (36)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.61/33.56          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.61/33.56    (37)  all_54_9 = all_52_6
% 196.61/33.56    (38)   ~ (all_52_14 = e3)
% 196.61/33.56    (39)  op(e0, e3) = all_52_3
% 196.61/33.56    (40)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.61/33.56    (41)  op(e2, e0) = all_52_13
% 196.61/33.56    (42)  op(e1, e0) = all_52_14
% 196.61/33.56    (43)  all_56_15 = e3
% 196.61/33.56    (44)  all_54_8 = all_52_2
% 196.61/33.56    (45)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.56          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.61/33.56    (46)   ~ (all_52_4 = all_52_12)
% 196.61/33.56    (47)  op(e2, e0) = e1
% 196.61/33.56    (48)   ~ (all_52_2 = all_52_14)
% 196.61/33.56    (49)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.61/33.56              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.61/33.56            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.61/33.56            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.61/33.56            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.56            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.56            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.61/33.56            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.56            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.61/33.56            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.61/33.56            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.56            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.56            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.56            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.56            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.56            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.56            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.56            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.56            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.56            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.56            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.56            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.56            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.56            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.56            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.56            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.56            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.56            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.56            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.56            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.56            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.56            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.56            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.56            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.56            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.56            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.56            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.56            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.56            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.56            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.56            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.56            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.56            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.56            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.56            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.56            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.56            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.56            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.56              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.61/33.56            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.56            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.56              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.61/33.56            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.56            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.61/33.56                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.56                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.56                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.56                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.56                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.61/33.56                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.56                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.56              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.56                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.56                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.56                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.56                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.56                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.56                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.56                $i(all_57_7))))
% 196.61/33.56    (50)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.61/33.56          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.61/33.56    (51)   ~ (all_52_12 = all_52_14)
% 196.61/33.56    (52)   ~ (all_52_8 = e1)
% 196.61/33.56    (53)   ~ (all_52_4 = all_4_2)
% 196.61/33.56    (54)  op(e0, e1) = all_52_11
% 196.61/33.56    (55)   ~ (all_52_12 = e3)
% 196.61/33.56    (56)   ~ (all_52_6 = all_52_14)
% 196.61/33.56    (57)  op(e0, e2) = e1
% 196.61/33.56    (58)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.61/33.56            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.61/33.56              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.61/33.56    (59)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.56          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.61/33.56    (60)   ~ (all_4_2 = e3)
% 196.61/33.56    (61)   ~ (all_52_8 = all_52_12)
% 196.61/33.56    (62)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.61/33.56    (63)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.61/33.56          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.61/33.56    (64)  all_54_11 = all_52_14
% 196.61/33.56    (65)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.61/33.56    (66)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.56          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.61/33.56    (67)   ~ (e1 = e0)
% 196.61/33.56    (68)   ~ (all_52_1 = all_52_13)
% 196.61/33.56    (69)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 196.61/33.56    (70)   ~ (all_52_11 = e3)
% 196.61/33.56    (71)   ~ (all_52_8 = all_52_11)
% 196.61/33.56    (72)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 196.61/33.56          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 196.61/33.56    (73)  all_54_5 = all_4_2
% 196.61/33.56    (74)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.56          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.56    (75)   ~ (all_52_13 = all_52_14)
% 196.61/33.56    (76)   ~ (all_52_2 = all_52_6)
% 196.61/33.56    (77)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.61/33.56              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.61/33.56                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.61/33.56                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.61/33.56    (78)   ~ (e2 = e1)
% 196.61/33.56    (79)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.56          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.61/33.56    (80)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.61/33.56    (81)   ~ (all_52_13 = all_4_2)
% 196.61/33.56    (82)   ~ (all_52_2 = e1)
% 196.61/33.56    (83)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.61/33.56          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.61/33.56    (84)  op(e3, e0) = all_52_12
% 196.61/33.56    (85)  all_36_2 = all_4_2
% 196.61/33.56    (86)   ~ (all_52_2 = all_52_3)
% 196.61/33.56    (87)   ~ (all_52_9 = all_4_2)
% 196.61/33.56    (88)  op(e2, e1) = all_52_9
% 196.61/33.56    (89)   ~ (all_52_1 = all_52_2)
% 196.61/33.56    (90)   ~ (all_52_6 = all_4_2)
% 196.61/33.56    (91)   ~ (all_52_4 = all_52_6)
% 196.61/33.56    (92)   ~ (all_52_1 = all_52_3)
% 196.61/33.56    (93)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.61/33.56            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.61/33.56              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.61/33.56    (94)  op(e3, e1) = all_52_8
% 196.61/33.56    (95)  op(e0, e0) = e3
% 196.61/33.56    (96)   ~ (all_52_9 = all_52_13)
% 196.61/33.56    (97)  all_54_1 = all_52_4
% 196.61/33.56    (98)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.61/33.56          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.61/33.56    (99)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.61/33.56          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.61/33.56    (100)  op(e0, e2) = all_52_7
% 196.61/33.56    (101)   ~ (e2 = e0)
% 196.61/33.56    (102)  op(e2, e3) = all_52_1
% 196.61/33.56    (103)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.61/33.56    (104)  all_32_2 = all_4_2
% 196.61/33.56    (105)   ~ (all_52_3 = all_52_11)
% 196.61/33.56    (106)  all_56_13 = e1
% 196.61/33.56  
% 196.61/33.56  Begin of proof
% 196.61/33.56  | 
% 196.61/33.56  | GROUND_INST: instantiating (23) with all_52_7, e1, e2, e0, simplifying with
% 196.61/33.57  |              (57), (100) gives:
% 196.61/33.57  |   (107)  all_52_7 = e1
% 196.61/33.57  | 
% 196.61/33.57  | GROUND_INST: instantiating (23) with all_52_13, e1, e0, e2, simplifying with
% 196.61/33.57  |              (41), (47) gives:
% 196.61/33.57  |   (108)  all_52_13 = e1
% 196.61/33.57  | 
% 196.61/33.57  | REDUCE: (68), (108) imply:
% 196.61/33.57  |   (109)   ~ (all_52_1 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | REDUCE: (32), (107) imply:
% 196.61/33.57  |   (110)   ~ (all_52_3 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | REDUCE: (35), (107) imply:
% 196.61/33.57  |   (111)   ~ (all_52_4 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | REDUCE: (17), (107) imply:
% 196.61/33.57  |   (112)   ~ (all_52_6 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | REDUCE: (29), (107) imply:
% 196.61/33.57  |   (113)   ~ (all_52_11 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | SIMP: (113) implies:
% 196.61/33.57  |   (114)   ~ (all_52_11 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | REDUCE: (26), (108) imply:
% 196.61/33.57  |   (115)   ~ (all_52_12 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | REDUCE: (75), (108) imply:
% 196.61/33.57  |   (116)   ~ (all_52_14 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | SIMP: (116) implies:
% 196.61/33.57  |   (117)   ~ (all_52_14 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | REDUCE: (81), (108) imply:
% 196.61/33.57  |   (118)   ~ (all_4_2 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | SIMP: (118) implies:
% 196.61/33.57  |   (119)   ~ (all_4_2 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | REDUCE: (8), (108) imply:
% 196.61/33.57  |   (120)   ~ (e3 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | SIMP: (120) implies:
% 196.61/33.57  |   (121)   ~ (e3 = e1)
% 196.61/33.57  | 
% 196.61/33.57  | BETA: splitting (93) gives:
% 196.61/33.57  | 
% 196.61/33.57  | Case 1:
% 196.61/33.57  | | 
% 196.61/33.57  | |   (122)   ~ (all_32_2 = e0)
% 196.61/33.57  | | 
% 196.61/33.57  | | REDUCE: (104), (122) imply:
% 196.61/33.57  | |   (123)   ~ (all_4_2 = e0)
% 196.61/33.57  | | 
% 196.61/33.57  | | BETA: splitting (3) gives:
% 196.61/33.57  | | 
% 196.61/33.57  | | Case 1:
% 196.61/33.57  | | | 
% 196.61/33.57  | | |   (124)  all_54_5 = e3
% 196.61/33.57  | | | 
% 196.61/33.57  | | | REF_CLOSE: (60), (73), (124) are inconsistent by sub-proof #1948.
% 196.61/33.57  | | | 
% 196.61/33.57  | | Case 2:
% 196.61/33.57  | | | 
% 196.61/33.57  | | |   (125)   ~ (all_54_5 = e3)
% 196.61/33.57  | | |   (126)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.61/33.57  | | | 
% 196.61/33.57  | | | BETA: splitting (126) gives:
% 196.61/33.57  | | | 
% 196.61/33.57  | | | Case 1:
% 196.61/33.57  | | | | 
% 196.61/33.57  | | | |   (127)  all_54_5 = e2
% 196.61/33.57  | | | | 
% 196.61/33.57  | | | | COMBINE_EQS: (73), (127) imply:
% 196.61/33.57  | | | |   (128)  all_4_2 = e2
% 196.61/33.57  | | | | 
% 196.61/33.57  | | | | SIMP: (128) implies:
% 196.61/33.57  | | | |   (129)  all_4_2 = e2
% 196.61/33.57  | | | | 
% 196.61/33.57  | | | | REDUCE: (1), (129) imply:
% 196.61/33.57  | | | |   (130)   ~ (all_52_1 = e2)
% 196.61/33.57  | | | | 
% 196.61/33.57  | | | | REDUCE: (87), (129) imply:
% 196.61/33.57  | | | |   (131)   ~ (all_52_9 = e2)
% 196.61/33.57  | | | | 
% 196.61/33.57  | | | | REDUCE: (60), (129) imply:
% 196.61/33.57  | | | |   (132)   ~ (e3 = e2)
% 196.61/33.57  | | | | 
% 196.61/33.57  | | | | REDUCE: (25), (129) imply:
% 196.61/33.57  | | | |   (133)  op(e2, e2) = e2
% 196.61/33.57  | | | | 
% 196.61/33.57  | | | | BETA: splitting (49) gives:
% 196.61/33.57  | | | | 
% 196.61/33.57  | | | | Case 1:
% 196.61/33.57  | | | | | 
% 196.61/33.57  | | | | |   (134)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.61/33.57  | | | | |            (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 196.61/33.57  | | | | |            & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.61/33.57  | | | | |            $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 196.61/33.57  | | | | |            (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.57  | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 196.61/33.57  | | | | |            = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.57  | | | | |            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 196.61/33.57  | | | | |            op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.61/33.57  | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.61/33.57  | | | | |          (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 196.61/33.57  | | | | |            (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 196.61/33.57  | | | | |            & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.61/33.57  | | | | |            $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.57  | | | | |            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.61/33.57  | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4 &
% 196.61/33.57  | | | | |            op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 196.61/33.57  | | | | |            = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 196.61/33.57  | | | | |              = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0,
% 196.61/33.57  | | | | |              e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.57  | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.57  | | | | |            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.61/33.57  | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.61/33.57  | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 196.61/33.57  | | | | |            & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2)
% 196.61/33.57  | | | | |            & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.61/33.57  | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.61/33.57  | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.57  | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 196.61/33.57  | | | | |            & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.57  | | | | |            $i(all_57_10))
% 196.61/33.57  | | | | | 
% 196.61/33.57  | | | | | REF_CLOSE: (4), (5), (9), (22), (23), (25), (60), (78), (82), (95),
% 196.61/33.57  | | | | |            (102), (112), (130), (133), (134) are inconsistent by
% 196.61/33.57  | | | | |            sub-proof #1080.
% 196.61/33.57  | | | | | 
% 196.61/33.57  | | | | Case 2:
% 196.61/33.57  | | | | | 
% 196.61/33.57  | | | | |   (135)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.57  | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 196.61/33.57  | | | | |            & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.57  | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 196.61/33.57  | | | | |            (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 196.61/33.57  | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 196.61/33.57  | | | | |            = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.61/33.57  | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 196.61/33.57  | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.61/33.57  | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12))
% 196.61/33.57  | | | | |          | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.61/33.57  | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 196.61/33.57  | | | | |            & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10)
% 196.61/33.57  | | | | |            & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 196.61/33.57  | | | | |            (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 196.61/33.57  | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 196.61/33.57  | | | | |            = all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 =
% 196.61/33.57  | | | | |            e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 196.61/33.57  | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2,
% 196.61/33.57  | | | | |              e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.57  | | | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 196.61/33.57  | | | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.61/33.57  | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 196.61/33.57  | | | | |            = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 196.61/33.57  | | | | |            all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1)
% 196.61/33.57  | | | | |            & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) =
% 196.61/33.57  | | | | |            e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.57  | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 196.61/33.57  | | | | |            (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.61/33.57  | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.61/33.57  | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.57  | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 =
% 196.61/33.57  | | | | |                e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2,
% 196.61/33.57  | | | | |                  e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.57  | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.61/33.57  | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.61/33.57  | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.57  | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.61/33.57  | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.57  | | | | |                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.61/33.57  | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.61/33.57  | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.57  | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.57  | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.57  | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.61/33.57  | | | | |                & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.57  | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.61/33.57  | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.61/33.57  | | | | |                & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.57  | | | | |                $i(all_57_7))))
% 196.61/33.57  | | | | | 
% 196.61/33.57  | | | | | BETA: splitting (135) gives:
% 196.61/33.57  | | | | | 
% 196.61/33.57  | | | | | Case 1:
% 196.61/33.57  | | | | | | 
% 196.61/33.57  | | | | | |   (136)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.57  | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 196.61/33.57  | | | | | |            e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 196.61/33.57  | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 196.61/33.57  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1)
% 196.61/33.57  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.61/33.57  | | | | | |            all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.57  | | | | | |            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 196.61/33.57  | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.61/33.57  | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 196.61/33.57  | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.57  | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.61/33.57  | | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 196.61/33.57  | | | | | |            e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.57  | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.61/33.57  | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 196.61/33.57  | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 196.61/33.57  | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.57  | | | | | |            $i(all_57_13))
% 196.61/33.57  | | | | | | 
% 196.61/33.57  | | | | | | BETA: splitting (136) gives:
% 196.61/33.57  | | | | | | 
% 196.61/33.57  | | | | | | Case 1:
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | |   (137)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.57  | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1)
% 196.61/33.57  | | | | | | |            = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 196.61/33.57  | | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 196.61/33.57  | | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 196.61/33.57  | | | | | | |              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.57  | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6)
% 196.61/33.57  | | | | | | |            & $i(all_57_12))
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | | REF_CLOSE: (23), (88), (95), (121), (131), (137) are inconsistent
% 196.61/33.57  | | | | | | |            by sub-proof #1221.
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | Case 2:
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | |   (138)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.57  | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1)
% 196.61/33.57  | | | | | | |            = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 196.61/33.57  | | | | | | |            $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 196.61/33.57  | | | | | | |            all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 196.61/33.57  | | | | | | |              e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.57  | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.57  | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.61/33.57  | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 196.61/33.57  | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.57  | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.57  | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | | REF_CLOSE: (23), (55), (84), (95), (121), (138) are inconsistent
% 196.61/33.57  | | | | | | |            by sub-proof #1189.
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | End of split
% 196.61/33.57  | | | | | | 
% 196.61/33.57  | | | | | Case 2:
% 196.61/33.57  | | | | | | 
% 196.61/33.57  | | | | | |   (139)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.61/33.57  | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.61/33.57  | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.57  | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 196.61/33.57  | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 = e0)
% 196.61/33.57  | | | | | |            & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 196.61/33.57  | | | | | |            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.57  | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 196.61/33.57  | | | | | |            (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.57  | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 196.61/33.57  | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 196.61/33.57  | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.61/33.57  | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 196.61/33.57  | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.57  | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 196.61/33.57  | | | | | |            & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 196.61/33.57  | | | | | |                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.57  | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.57  | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.61/33.57  | | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.61/33.57  | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.57  | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.61/33.57  | | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.61/33.57  | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.61/33.57  | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.61/33.57  | | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.57  | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.57  | | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.57  | | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.61/33.57  | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.57  | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.61/33.57  | | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 196.61/33.57  | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.57  | | | | | |                $i(all_57_7))))
% 196.61/33.57  | | | | | | 
% 196.61/33.57  | | | | | | BETA: splitting (139) gives:
% 196.61/33.57  | | | | | | 
% 196.61/33.57  | | | | | | Case 1:
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | |   (140)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) & 
% 196.61/33.57  | | | | | | |            ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.61/33.57  | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.57  | | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 196.61/33.57  | | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 196.61/33.57  | | | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.57  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 196.61/33.57  | | | | | | |            & $i(all_57_14))
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | | REF_CLOSE: (23), (27), (67), (140) are inconsistent by sub-proof
% 196.61/33.57  | | | | | | |            #1936.
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | Case 2:
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | |   (141)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) & 
% 196.61/33.57  | | | | | | |            ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 196.61/33.57  | | | | | | |              e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.57  | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 196.61/33.57  | | | | | | |            all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 196.61/33.57  | | | | | | |              e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.57  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.57  | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.57  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 196.61/33.57  | | | | | | |                = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.57  | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 196.61/33.57  | | | | | | |                  e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.61/33.57  | | | | | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 196.61/33.57  | | | | | | |                  = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.61/33.57  | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.61/33.57  | | | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 196.61/33.57  | | | | | | |                  = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.61/33.57  | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.61/33.57  | | | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.57  | | | | | | |                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.57  | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.61/33.57  | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 196.61/33.57  | | | | | | |                  = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.57  | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.61/33.57  | | | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 196.61/33.57  | | | | | | |                  = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.61/33.57  | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | | BETA: splitting (141) gives:
% 196.61/33.57  | | | | | | | 
% 196.61/33.57  | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | 
% 196.61/33.57  | | | | | | | |   (142)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &
% 196.61/33.57  | | | | | | | |           ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 196.61/33.57  | | | | | | | |            e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.57  | | | | | | | |          $i(all_57_12) & $i(all_57_13)
% 196.61/33.57  | | | | | | | | 
% 196.61/33.57  | | | | | | | | ALPHA: (142) implies:
% 196.61/33.57  | | | | | | | |   (143)  op(e1, e1) = e0
% 196.61/33.57  | | | | | | | | 
% 196.61/33.57  | | | | | | | | REF_CLOSE: (4), (23), (67), (143) are inconsistent by sub-proof
% 196.61/33.57  | | | | | | | |            #1959.
% 196.61/33.57  | | | | | | | | 
% 196.61/33.57  | | | | | | | Case 2:
% 196.61/33.57  | | | | | | | | 
% 196.61/33.57  | | | | | | | |   (144)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 196.61/33.57  | | | | | | | |            &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.61/33.57  | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.61/33.57  | | | | | | | |            e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.57  | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.61/33.57  | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.57  | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.61/33.57  | | | | | | | |                  e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.61/33.57  | | | | | | | |              (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.57  | | | | | | | |                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.61/33.57  | | | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.57  | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 196.61/33.57  | | | | | | | |                 ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.61/33.57  | | | | | | | |                  e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 196.61/33.57  | | | | | | | |                e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.61/33.57  | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.61/33.57  | | | | | | | |                op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 196.61/33.57  | | | | | | | |                  e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.61/33.57  | | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.61/33.57  | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.61/33.57  | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.61/33.57  | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.61/33.57  | | | | | | | |                  e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.61/33.57  | | | | | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.57  | | | | | | | |                $i(all_57_7))))
% 196.61/33.57  | | | | | | | | 
% 196.61/33.57  | | | | | | | | BETA: splitting (144) gives:
% 196.61/33.57  | | | | | | | | 
% 196.61/33.57  | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | 
% 196.61/33.57  | | | | | | | | |   (145)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 196.61/33.57  | | | | | | | | |          &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.61/33.57  | | | | | | | | |          = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.61/33.57  | | | | | | | | |          e1 & $i(all_57_11) & $i(all_57_14)
% 196.61/33.57  | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | ALPHA: (145) implies:
% 196.61/33.57  | | | | | | | | |   (146)  op(e1, e0) = e1
% 196.61/33.57  | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | REF_CLOSE: (23), (42), (117), (146) are inconsistent by
% 196.61/33.57  | | | | | | | | |            sub-proof #1958.
% 196.61/33.57  | | | | | | | | | 
% 196.61/33.57  | | | | | | | | Case 2:
% 196.61/33.57  | | | | | | | | | 
% 196.61/33.57  | | | | | | | | |   (147)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 196.61/33.57  | | | | | | | | |              e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.57  | | | | | | | | |              (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.61/33.57  | | | | | | | | |                e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.61/33.57  | | | | | | | | |            (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.57  | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.61/33.57  | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.57  | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 196.61/33.57  | | | | | | | | |               ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.61/33.57  | | | | | | | | |                e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 196.61/33.57  | | | | | | | | |              e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.61/33.57  | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.61/33.57  | | | | | | | | |              op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 196.61/33.57  | | | | | | | | |                e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.61/33.57  | | | | | | | | |              all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.61/33.57  | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.61/33.57  | | | | | | | | |              all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.61/33.57  | | | | | | | | |            (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.61/33.57  | | | | | | | | |                e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.61/33.57  | | | | | | | | |              op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.57  | | | | | | | | |              $i(all_57_7)))
% 196.61/33.57  | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | ALPHA: (147) implies:
% 196.61/33.57  | | | | | | | | |   (148)  op(e0, e0) = all_57_15
% 196.61/33.57  | | | | | | | | |   (149)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2)
% 196.61/33.57  | | | | | | | | |            &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.61/33.57  | | | | | | | | |            op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.61/33.57  | | | | | | | | |          (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 196.61/33.57  | | | | | | | | |            &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.61/33.57  | | | | | | | | |            op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.57  | | | | | | | | |          (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3)
% 196.61/33.57  | | | | | | | | |            &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.61/33.57  | | | | | | | | |              e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.61/33.57  | | | | | | | | |          | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.57  | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 196.61/33.57  | | | | | | | | |            & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4))
% 196.61/33.57  | | | | | | | | |          | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.61/33.57  | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.61/33.57  | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.57  | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 & 
% 196.61/33.57  | | | | | | | | |            ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.61/33.57  | | | | | | | | |              e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 196.61/33.57  | | | | | | | | |            e0 & $i(all_57_7))
% 196.61/33.57  | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | BETA: splitting (149) gives:
% 196.61/33.57  | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | |   (150)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.57  | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.57  | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.57  | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &
% 196.61/33.57  | | | | | | | | | |             ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 196.61/33.57  | | | | | | | | | |              e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 196.61/33.57  | | | | | | | | | |            e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.61/33.57  | | | | | | | | | |            e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.61/33.57  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.61/33.57  | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 196.61/33.57  | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | BETA: splitting (150) gives:
% 196.61/33.57  | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | |   (151)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.57  | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.57  | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.57  | | | | | | | | | | |          $i(all_57_0)
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | ALPHA: (151) implies:
% 196.61/33.57  | | | | | | | | | | |   (152)  op(e2, e2) = e3
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | REF_CLOSE: (23), (25), (60), (152) are inconsistent by
% 196.61/33.57  | | | | | | | | | | |            sub-proof #1975.
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | Case 2:
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | |   (153)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.57  | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.61/33.57  | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.57  | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 196.61/33.57  | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.61/33.57  | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.61/33.57  | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | REF_CLOSE: (4), (23), (27), (78), (121), (153) are
% 196.61/33.57  | | | | | | | | | | |            inconsistent by sub-proof #1079.
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | End of split
% 196.61/33.57  | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | Case 2:
% 196.61/33.57  | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | |   (154)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.57  | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.57  | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.57  | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &
% 196.61/33.57  | | | | | | | | | |             ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3,
% 196.61/33.57  | | | | | | | | | |              e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.61/33.57  | | | | | | | | | |            e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.61/33.57  | | | | | | | | | |            e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.57  | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.61/33.57  | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.61/33.57  | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | BETA: splitting (154) gives:
% 196.61/33.57  | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | |   (155)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.57  | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.57  | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.57  | | | | | | | | | | |          $i(all_57_4)
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | ALPHA: (155) implies:
% 196.61/33.57  | | | | | | | | | | |   (156)  op(e1, e1) = e2
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | REF_CLOSE: (4), (23), (78), (156) are inconsistent by
% 196.61/33.57  | | | | | | | | | | |            sub-proof #1955.
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | Case 2:
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | |   (157)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.61/33.57  | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.61/33.57  | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.57  | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 196.61/33.57  | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.57  | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.61/33.57  | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | BETA: splitting (157) gives:
% 196.61/33.57  | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | |   (158)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.61/33.57  | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.61/33.57  | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.57  | | | | | | | | | | | |          $i(all_57_6)
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | ALPHA: (158) implies:
% 196.61/33.57  | | | | | | | | | | | |   (159)  all_57_8 = e0
% 196.61/33.57  | | | | | | | | | | | |   (160)   ~ (all_57_15 = e1)
% 196.61/33.57  | | | | | | | | | | | |   (161)   ~ (all_57_6 = e3)
% 196.61/33.57  | | | | | | | | | | | |   (162)  op(e0, e1) = e0
% 196.61/33.57  | | | | | | | | | | | |   (163)  op(e3, e1) = all_57_6
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | GROUND_INST: instantiating (23) with e3, all_57_15, e0, e0,
% 196.61/33.57  | | | | | | | | | | | |              simplifying with (95), (148) gives:
% 196.61/33.57  | | | | | | | | | | | |   (164)  all_57_15 = e3
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_52_11, e0, e1, e0,
% 196.61/33.57  | | | | | | | | | | | |              simplifying with (54), (162) gives:
% 196.61/33.57  | | | | | | | | | | | |   (165)  all_52_11 = e0
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_52_8, all_57_6, e1,
% 196.61/33.57  | | | | | | | | | | | |              e3, simplifying with (94), (163) gives:
% 196.61/33.57  | | | | | | | | | | | |   (166)  all_57_6 = all_52_8
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | REDUCE: (161), (166) imply:
% 196.61/33.57  | | | | | | | | | | | |   (167)   ~ (all_52_8 = e3)
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | REDUCE: (71), (165) imply:
% 196.61/33.57  | | | | | | | | | | | |   (168)   ~ (all_52_8 = e0)
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | REDUCE: (70), (165) imply:
% 196.61/33.57  | | | | | | | | | | | |   (169)   ~ (e3 = e0)
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | SIMP: (169) implies:
% 196.61/33.57  | | | | | | | | | | | |   (170)   ~ (e3 = e0)
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | REDUCE: (114), (165) imply:
% 196.61/33.57  | | | | | | | | | | | |   (171)   ~ (e1 = e0)
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | BETA: splitting (77) gives:
% 196.61/33.57  | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | |   (172)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.57  | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | REF_CLOSE: (43), (170), (172) are inconsistent by sub-proof
% 196.61/33.57  | | | | | | | | | | | | |            #1344.
% 196.61/33.57  | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | Case 2:
% 196.61/33.57  | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | |   (173)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/33.57  | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.61/33.57  | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.61/33.57  | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.61/33.57  | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.61/33.57  | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | ALPHA: (173) implies:
% 196.61/33.57  | | | | | | | | | | | | |   (174)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.61/33.57  | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.61/33.57  | | | | | | | | | | | | |              e1) = e0)
% 196.61/33.57  | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | BETA: splitting (30) gives:
% 196.61/33.57  | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | |   (175)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 196.61/33.57  | | | | | | | | | | | | | |            & op(e2, e1) = e2)
% 196.61/33.57  | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 196.61/33.57  | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | |   (176)  all_56_4 = e2 & op(e3, e1) = e2
% 196.61/33.57  | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 196.61/33.57  | | | | | | | | | | | | | | |   (177)  all_56_4 = e2
% 196.61/33.57  | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 196.61/33.57  | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | |   (178)  all_54_2 = e3
% 196.61/33.57  | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (178) imply:
% 196.61/33.57  | | | | | | | | | | | | | | | |   (179)  all_52_8 = e3
% 196.61/33.57  | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | REDUCE: (167), (179) imply:
% 196.61/33.57  | | | | | | | | | | | | | | | |   (180)  $false
% 196.61/33.57  | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | CLOSE: (180) is inconsistent.
% 196.61/33.57  | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | Case 2:
% 196.61/33.57  | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | |   (181)   ~ (all_54_2 = e3)
% 196.61/33.57  | | | | | | | | | | | | | | | |   (182)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.61/33.57  | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 196.61/33.57  | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | |   (183)  all_54_2 = e2
% 196.61/33.57  | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (183) imply:
% 196.61/33.57  | | | | | | | | | | | | | | | | |   (184)  all_52_8 = e2
% 196.61/33.57  | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | REDUCE: (61), (184) imply:
% 196.61/33.57  | | | | | | | | | | | | | | | | |   (185)   ~ (all_52_12 = e2)
% 196.61/33.57  | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 196.61/33.57  | | | | | | | | | | | | | | | | |   (186)   ~ (all_52_12 = e2)
% 196.61/33.57  | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 196.61/33.57  | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | |   (187)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 196.61/33.57  | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e3)
% 196.61/33.57  | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 196.61/33.57  | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | | |   (188)  all_56_0 = e3 & op(e3, e3) = e3
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 196.61/33.57  | | | | | | | | | | | | | | | | | | |   (189)  op(e3, e3) = e3
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (27), (121), (189) are inconsistent by
% 196.61/33.57  | | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | | |   (190)  all_56_1 = e3 & op(e3, e2) = e3
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 196.61/33.57  | | | | | | | | | | | | | | | | | | |   (191)  all_56_1 = e3
% 196.61/33.57  | | | | | | | | | | | | | | | | | | |   (192)  op(e3, e2) = e3
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.57  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |   (193)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |   (194)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |   (195)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (25), (27), (60), (78), (195) are
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1893.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |   (196)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (23), (82), (94), (167), (196) are
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1733.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |   (197)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |   (198)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (27), (39), (54), (67), (105), (162), (198)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1195.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |   (199)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (27), (78), (133), (192), (199) are
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1078.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |   (200)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |   (201)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |   (202)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (204)  op(e2, e2) = e0
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (101), (133), (204) are inconsistent by
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1939.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (27), (78), (192), (206) are inconsistent by
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1888.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |   (207)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (209)  op(e0, e1) = e1
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (54), (114), (209) are inconsistent by
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1885.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (211)  op(e1, e0) = e0
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (23), (42), (51), (55), (115), (186),
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |            (211) are inconsistent by sub-proof #1077.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |   (212)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |   (213)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (215)  op(e3, e3) = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (23), (78), (84), (115), (121), (177),
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |            (191), (215) are inconsistent by sub-proof #1401.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (217)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (27), (78), (192), (217) are inconsistent by
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1888.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |   (218)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (95), (121), (159), (220) are inconsistent
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1184.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (170), (221) are inconsistent by sub-proof
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | |            #1076.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | |   (222)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 196.61/33.58  | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e3)
% 196.61/33.58  | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (55), (84), (94), (167), (222) are
% 196.61/33.58  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1296.
% 196.61/33.58  | | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | |   (223)  all_54_2 = e1 | all_54_2 = e0
% 196.61/33.58  | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (23), (52), (54), (71), (162), (223) are
% 196.61/33.58  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1075.
% 196.61/33.58  | | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | |   (224)  all_56_5 = e2 & op(e2, e1) = e2
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | ALPHA: (224) implies:
% 196.61/33.58  | | | | | | | | | | | | | | |   (225)  op(e2, e1) = e2
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | REF_CLOSE: (23), (88), (131), (225) are inconsistent by
% 196.61/33.58  | | | | | | | | | | | | | | |            sub-proof #1942.
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | |   (226)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 196.61/33.58  | | | | | | | | | | | | | |            e2 & op(e0, e1) = e2)
% 196.61/33.58  | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 196.61/33.58  | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | Case 1:
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | |   (227)  all_56_8 = e2 & op(e1, e1) = e2
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | ALPHA: (227) implies:
% 196.61/33.58  | | | | | | | | | | | | | | |   (228)  op(e1, e1) = e2
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | REF_CLOSE: (4), (23), (78), (228) are inconsistent by
% 196.61/33.58  | | | | | | | | | | | | | | |            sub-proof #1955.
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | |   (229)  all_56_14 = e2 & op(e0, e1) = e2
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 196.61/33.58  | | | | | | | | | | | | | | |   (230)  all_56_14 = e2
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | | REF_CLOSE: (23), (39), (54), (67), (101), (105), (106),
% 196.61/33.58  | | | | | | | | | | | | | | |            (162), (174), (230) are inconsistent by sub-proof
% 196.61/33.58  | | | | | | | | | | | | | | |            #1425.
% 196.61/33.58  | | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | Case 2:
% 196.61/33.58  | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | |   (231)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.61/33.58  | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.61/33.58  | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.58  | | | | | | | | | | | |          $i(all_57_7)
% 196.61/33.58  | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | ALPHA: (231) implies:
% 196.61/33.58  | | | | | | | | | | | |   (232)  op(e2, e2) = e1
% 196.61/33.58  | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | | REF_CLOSE: (23), (78), (133), (232) are inconsistent by
% 196.61/33.58  | | | | | | | | | | | |            sub-proof #1783.
% 196.61/33.58  | | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | | 
% 196.61/33.58  | | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | | 
% 196.61/33.58  | | | | | | | | End of split
% 196.61/33.58  | | | | | | | | 
% 196.61/33.58  | | | | | | | End of split
% 196.61/33.58  | | | | | | | 
% 196.61/33.58  | | | | | | End of split
% 196.61/33.58  | | | | | | 
% 196.61/33.58  | | | | | End of split
% 196.61/33.58  | | | | | 
% 196.61/33.58  | | | | End of split
% 196.61/33.58  | | | | 
% 196.61/33.59  | | | Case 2:
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | |   (233)  all_54_5 = e1 | all_54_5 = e0
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | | REF_CLOSE: (73), (119), (123), (233) are inconsistent by sub-proof
% 196.61/33.59  | | | |            #1941.
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | End of split
% 196.61/33.59  | | | 
% 196.61/33.59  | | End of split
% 196.61/33.59  | | 
% 196.61/33.59  | Case 2:
% 196.61/33.59  | | 
% 196.61/33.59  | |   (234)  all_32_2 = e0
% 196.61/33.59  | |   (235)  ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 & op(e2, e0) =
% 196.61/33.59  | |            all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 = e1) &
% 196.61/33.59  | |            op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.61/33.59  | | 
% 196.61/33.59  | | COMBINE_EQS: (104), (234) imply:
% 196.61/33.59  | |   (236)  all_4_2 = e0
% 196.61/33.59  | | 
% 196.61/33.59  | | SIMP: (236) implies:
% 196.61/33.59  | |   (237)  all_4_2 = e0
% 196.61/33.59  | | 
% 196.61/33.59  | | COMBINE_EQS: (85), (237) imply:
% 196.61/33.59  | |   (238)  all_36_2 = e0
% 196.61/33.59  | | 
% 196.61/33.59  | | REDUCE: (1), (237) imply:
% 196.61/33.59  | |   (239)   ~ (all_52_1 = e0)
% 196.61/33.59  | | 
% 196.61/33.59  | | REDUCE: (53), (237) imply:
% 196.61/33.59  | |   (240)   ~ (all_52_4 = e0)
% 196.61/33.59  | | 
% 196.61/33.59  | | REDUCE: (90), (237) imply:
% 196.61/33.59  | |   (241)   ~ (all_52_6 = e0)
% 196.61/33.59  | | 
% 196.61/33.59  | | REDUCE: (60), (237) imply:
% 196.61/33.59  | |   (242)   ~ (e3 = e0)
% 196.61/33.59  | | 
% 196.61/33.59  | | SIMP: (242) implies:
% 196.61/33.59  | |   (243)   ~ (e3 = e0)
% 196.61/33.59  | | 
% 196.61/33.59  | | REDUCE: (119), (237) imply:
% 196.61/33.59  | |   (244)   ~ (e1 = e0)
% 196.61/33.59  | | 
% 196.61/33.59  | | REDUCE: (25), (237) imply:
% 196.61/33.59  | |   (245)  op(e2, e2) = e0
% 196.61/33.59  | | 
% 196.61/33.59  | | BETA: splitting (58) gives:
% 196.61/33.59  | | 
% 196.61/33.59  | | Case 1:
% 196.61/33.59  | | | 
% 196.61/33.59  | | |   (246)   ~ (all_36_2 = e0)
% 196.61/33.59  | | | 
% 196.61/33.59  | | | REDUCE: (238), (246) imply:
% 196.61/33.59  | | |   (247)  $false
% 196.61/33.59  | | | 
% 196.61/33.59  | | | CLOSE: (247) is inconsistent.
% 196.61/33.59  | | | 
% 196.61/33.59  | | Case 2:
% 196.61/33.59  | | | 
% 196.61/33.59  | | |   (248)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0) =
% 196.61/33.59  | | |            all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e3) &
% 196.61/33.59  | | |            op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.61/33.59  | | | 
% 196.61/33.59  | | | BETA: splitting (248) gives:
% 196.61/33.59  | | | 
% 196.61/33.59  | | | Case 1:
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | |   (249)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0) =
% 196.61/33.59  | | | |          all_36_1 & $i(all_36_0) & $i(all_36_1)
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | | ALPHA: (249) implies:
% 196.61/33.59  | | | |   (250)  op(e2, e0) = all_36_1
% 196.61/33.59  | | | |   (251)  op(all_36_1, e2) = all_36_0
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | | GROUND_INST: instantiating (23) with e1, all_36_1, e0, e2, simplifying
% 196.61/33.59  | | | |              with (47), (250) gives:
% 196.61/33.59  | | | |   (252)  all_36_1 = e1
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | | REDUCE: (251), (252) imply:
% 196.61/33.59  | | | |   (253)  op(e1, e2) = all_36_0
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | | BETA: splitting (235) gives:
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | | Case 1:
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | |   (254)   ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 & op(e2, e0)
% 196.61/33.59  | | | | |          = all_32_1 & $i(all_32_0) & $i(all_32_1)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | ALPHA: (254) implies:
% 196.61/33.59  | | | | |   (255)   ~ (all_32_0 = e3)
% 196.61/33.59  | | | | |   (256)  op(e2, e0) = all_32_1
% 196.61/33.59  | | | | |   (257)  op(all_32_1, e2) = all_32_0
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | GROUND_INST: instantiating (23) with all_52_6, all_36_0, e2, e1,
% 196.61/33.59  | | | | |              simplifying with (9), (253) gives:
% 196.61/33.59  | | | | |   (258)  all_52_6 = all_36_0
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | GROUND_INST: instantiating (23) with e1, all_32_1, e0, e2, simplifying
% 196.61/33.59  | | | | |              with (47), (256) gives:
% 196.61/33.59  | | | | |   (259)  all_32_1 = e1
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | COMBINE_EQS: (37), (258) imply:
% 196.61/33.59  | | | | |   (260)  all_54_9 = all_36_0
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (76), (258) imply:
% 196.61/33.59  | | | | |   (261)   ~ (all_52_2 = all_36_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (91), (258) imply:
% 196.61/33.59  | | | | |   (262)   ~ (all_52_4 = all_36_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (56), (258) imply:
% 196.61/33.59  | | | | |   (263)   ~ (all_52_14 = all_36_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | SIMP: (263) implies:
% 196.61/33.59  | | | | |   (264)   ~ (all_52_14 = all_36_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (112), (258) imply:
% 196.61/33.59  | | | | |   (265)   ~ (all_36_0 = e1)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (241), (258) imply:
% 196.61/33.59  | | | | |   (266)   ~ (all_36_0 = e0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (257), (259) imply:
% 196.61/33.59  | | | | |   (267)  op(e1, e2) = all_32_0
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | GROUND_INST: instantiating (23) with all_36_0, all_32_0, e2, e1,
% 196.61/33.59  | | | | |              simplifying with (253), (267) gives:
% 196.61/33.59  | | | | |   (268)  all_36_0 = all_32_0
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | COMBINE_EQS: (260), (268) imply:
% 196.61/33.59  | | | | |   (269)  all_54_9 = all_32_0
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (261), (268) imply:
% 196.61/33.59  | | | | |   (270)   ~ (all_52_2 = all_32_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (262), (268) imply:
% 196.61/33.59  | | | | |   (271)   ~ (all_52_4 = all_32_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (264), (268) imply:
% 196.61/33.59  | | | | |   (272)   ~ (all_52_14 = all_32_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (265), (268) imply:
% 196.61/33.59  | | | | |   (273)   ~ (all_32_0 = e1)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (266), (268) imply:
% 196.61/33.59  | | | | |   (274)   ~ (all_32_0 = e0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | BETA: splitting (103) gives:
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | Case 1:
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | |   (275)  all_54_9 = e3
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | | REF_CLOSE: (255), (269), (275) are inconsistent by sub-proof #1899.
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | Case 2:
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | |   (276)   ~ (all_54_9 = e3)
% 196.61/33.59  | | | | | |   (277)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.61/33.59  | | | | | |            (13), (14), (15), (18), (19), (20), (21), (22), (23),
% 196.61/33.59  | | | | | |            (24), (25), (27), (28), (30), (31), (33), (34), (36),
% 196.61/33.59  | | | | | |            (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 196.61/33.59  | | | | | |            (46), (48), (49), (50), (51), (52), (54), (55), (58),
% 196.61/33.59  | | | | | |            (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 196.61/33.59  | | | | | |            (69), (71), (72), (74), (77), (78), (79), (80), (82),
% 196.61/33.59  | | | | | |            (83), (84), (86), (88), (89), (92), (94), (95), (96),
% 196.61/33.59  | | | | | |            (97), (98), (99), (101), (102), (105), (106), (109),
% 196.61/33.59  | | | | | |            (110), (111), (112), (114), (115), (117), (121), (238),
% 196.61/33.59  | | | | | |            (239), (240), (241), (243), (245), (255), (269), (270),
% 196.61/33.59  | | | | | |            (271), (272), (273), (274), (277) are inconsistent by
% 196.61/33.59  | | | | | |            sub-proof #1054.
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | End of split
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | Case 2:
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | |   (278)   ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 & $i(all_32_1)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | ALPHA: (278) implies:
% 196.61/33.59  | | | | |   (279)   ~ (all_32_1 = e1)
% 196.61/33.59  | | | | |   (280)  op(e2, e0) = all_32_1
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | GROUND_INST: instantiating (23) with e1, all_32_1, e0, e2, simplifying
% 196.61/33.59  | | | | |              with (47), (280) gives:
% 196.61/33.59  | | | | |   (281)  all_32_1 = e1
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (279), (281) imply:
% 196.61/33.59  | | | | |   (282)  $false
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | CLOSE: (282) is inconsistent.
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | End of split
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | Case 2:
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | |   (283)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 & $i(all_36_1)
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | | ALPHA: (283) implies:
% 196.61/33.59  | | | |   (284)   ~ (all_36_1 = e3)
% 196.61/33.59  | | | |   (285)  op(e2, e0) = all_36_1
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | | GROUND_INST: instantiating (23) with e1, all_36_1, e0, e2, simplifying
% 196.61/33.59  | | | |              with (47), (285) gives:
% 196.61/33.59  | | | |   (286)  all_36_1 = e1
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | | BETA: splitting (235) gives:
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | | Case 1:
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | |   (287)   ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 & op(e2, e0)
% 196.61/33.59  | | | | |          = all_32_1 & $i(all_32_0) & $i(all_32_1)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | ALPHA: (287) implies:
% 196.61/33.59  | | | | |   (288)   ~ (all_32_0 = e3)
% 196.61/33.59  | | | | |   (289)  op(e2, e0) = all_32_1
% 196.61/33.59  | | | | |   (290)  op(all_32_1, e2) = all_32_0
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | GROUND_INST: instantiating (23) with e1, all_32_1, e0, e2, simplifying
% 196.61/33.59  | | | | |              with (47), (289) gives:
% 196.61/33.59  | | | | |   (291)  all_32_1 = e1
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (290), (291) imply:
% 196.61/33.59  | | | | |   (292)  op(e1, e2) = all_32_0
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | GROUND_INST: instantiating (23) with all_52_6, all_32_0, e2, e1,
% 196.61/33.59  | | | | |              simplifying with (9), (292) gives:
% 196.61/33.59  | | | | |   (293)  all_52_6 = all_32_0
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | COMBINE_EQS: (37), (293) imply:
% 196.61/33.59  | | | | |   (294)  all_54_9 = all_32_0
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (76), (293) imply:
% 196.61/33.59  | | | | |   (295)   ~ (all_52_2 = all_32_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (91), (293) imply:
% 196.61/33.59  | | | | |   (296)   ~ (all_52_4 = all_32_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (56), (293) imply:
% 196.61/33.59  | | | | |   (297)   ~ (all_52_14 = all_32_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | SIMP: (297) implies:
% 196.61/33.59  | | | | |   (298)   ~ (all_52_14 = all_32_0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (112), (293) imply:
% 196.61/33.59  | | | | |   (299)   ~ (all_32_0 = e1)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REDUCE: (241), (293) imply:
% 196.61/33.59  | | | | |   (300)   ~ (all_32_0 = e0)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | BETA: splitting (103) gives:
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | Case 1:
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | |   (301)  all_54_9 = e3
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | | REF_CLOSE: (288), (294), (301) are inconsistent by sub-proof #1899.
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | Case 2:
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | |   (302)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.61/33.59  | | | | | |            (13), (14), (15), (18), (19), (20), (21), (22), (23),
% 196.61/33.59  | | | | | |            (24), (25), (27), (28), (30), (31), (33), (34), (36),
% 196.61/33.59  | | | | | |            (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 196.61/33.59  | | | | | |            (46), (48), (49), (50), (51), (52), (54), (55), (58),
% 196.61/33.59  | | | | | |            (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 196.61/33.59  | | | | | |            (69), (71), (72), (74), (77), (78), (79), (80), (82),
% 196.61/33.59  | | | | | |            (83), (84), (86), (88), (89), (92), (94), (95), (96),
% 196.61/33.59  | | | | | |            (97), (98), (99), (101), (102), (105), (106), (109),
% 196.61/33.59  | | | | | |            (110), (111), (112), (114), (115), (117), (121), (238),
% 196.61/33.59  | | | | | |            (239), (240), (241), (243), (245), (288), (294), (295),
% 196.61/33.59  | | | | | |            (296), (298), (299), (300), (302) are inconsistent by
% 196.61/33.59  | | | | | |            sub-proof #1054.
% 196.61/33.59  | | | | | | 
% 196.61/33.59  | | | | | End of split
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | Case 2:
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | |   (303)   ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 & $i(all_32_1)
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | ALPHA: (303) implies:
% 196.61/33.59  | | | | |   (304)   ~ (all_32_1 = e1)
% 196.61/33.59  | | | | |   (305)  op(e2, e0) = all_32_1
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | | REF_CLOSE: (23), (47), (304), (305) are inconsistent by sub-proof
% 196.61/33.59  | | | | |            #1800.
% 196.61/33.59  | | | | | 
% 196.61/33.59  | | | | End of split
% 196.61/33.59  | | | | 
% 196.61/33.59  | | | End of split
% 196.61/33.59  | | | 
% 196.61/33.59  | | End of split
% 196.61/33.59  | | 
% 196.61/33.59  | End of split
% 196.61/33.59  | 
% 196.61/33.59  End of proof
% 196.61/33.59  
% 196.61/33.59  Sub-proof #1054 shows that the following formulas are inconsistent:
% 196.61/33.59  ----------------------------------------------------------------
% 196.61/33.59    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.59         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.61/33.59    (2)  op(e1, e1) = e1
% 196.61/33.59    (3)  op(e1, e3) = all_52_2
% 196.61/33.59    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.61/33.59           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.61/33.59           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.61/33.59                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.61/33.59               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.61/33.59               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.59           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.61/33.59           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.59               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.61/33.59           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.61/33.59               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.61/33.59           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.61/33.59           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.61/33.59               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.59               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.61/33.59               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.59         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.61/33.59           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.61/33.59           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.61/33.59               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.61/33.59             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.59         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.61/33.59           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.61/33.59           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.61/33.59                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.61/33.59               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.61/33.59               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.61/33.59           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.61/33.59           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.61/33.59             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.59           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.61/33.59               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.61/33.59           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.61/33.59           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.61/33.59               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.59               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.61/33.59               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.59         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.61/33.59           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.61/33.59           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.61/33.59               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.61/33.59             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.59         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.61/33.59           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.61/33.59           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.61/33.59                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.61/33.59               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.61/33.59               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.61/33.59           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.61/33.59             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.61/33.59               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.59           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.61/33.59               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.61/33.59           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.61/33.59           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.61/33.59               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.59               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.59               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.59         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.61/33.59           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.61/33.59           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.61/33.59               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.61/33.59             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.61/33.59         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.61/33.59             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.59           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.61/33.59               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.61/33.59             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.59         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.61/33.59             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.59           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.61/33.59               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.61/33.59             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.59         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.61/33.59             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.59           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.61/33.59               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.61/33.59             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.59         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.61/33.59             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.59           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.61/33.59               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.61/33.59             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.59    (5)  all_54_4 = all_52_1
% 196.61/33.59    (6)   ~ (all_32_0 = e1)
% 196.61/33.59    (7)   ~ (all_52_3 = e1)
% 196.61/33.59    (8)  all_54_9 = all_32_0
% 196.61/33.59    (9)   ~ (all_52_13 = e3)
% 196.61/33.59    (10)  op(e1, e2) = all_52_6
% 196.61/33.59    (11)   ~ (all_52_6 = e0)
% 196.61/33.59    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.61/33.59          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.61/33.59    (13)   ~ (all_52_1 = e0)
% 196.61/33.59    (14)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.61/33.59    (15)  all_54_3 = all_52_12
% 196.61/33.59    (16)   ~ (all_52_11 = e1)
% 196.61/33.59    (17)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.61/33.59          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.59    (18)  all_56_10 = e1
% 196.61/33.59    (19)   ~ (all_52_1 = all_52_9)
% 196.61/33.59    (20)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.59          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.61/33.59    (21)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.61/33.59          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.61/33.59    (22)  all_54_2 = all_52_8
% 196.61/33.59    (23)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.61/33.59          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.61/33.59    (24)   ~ (e3 = e2)
% 196.61/33.59    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.59            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.59    (26)  op(e3, e2) = all_52_4
% 196.61/33.59    (27)  op(e2, e2) = all_4_2
% 196.61/33.59    (28)  op(e3, e3) = e1
% 196.61/33.59    (29)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.61/33.59    (30)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.59          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.59    (31)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.59          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.59    (32)  all_54_12 = all_52_3
% 196.61/33.59    (33)   ~ (all_52_4 = all_52_8)
% 196.61/33.59    (34)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.61/33.59          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.61/33.59    (35)  all_54_9 = all_52_6
% 196.61/33.59    (36)   ~ (all_52_4 = e0)
% 196.61/33.59    (37)   ~ (all_52_14 = e3)
% 196.61/33.59    (38)  op(e0, e3) = all_52_3
% 196.61/33.59    (39)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.61/33.59    (40)  op(e2, e0) = all_52_13
% 196.61/33.59    (41)  op(e1, e0) = all_52_14
% 196.61/33.59    (42)  all_56_15 = e3
% 196.61/33.59    (43)  all_54_8 = all_52_2
% 196.61/33.59    (44)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.59          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.61/33.59    (45)   ~ (all_52_4 = all_52_12)
% 196.61/33.59    (46)   ~ (all_52_2 = all_52_14)
% 196.61/33.59    (47)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.61/33.59              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.61/33.59            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.61/33.59            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.61/33.59            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.59            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.59            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.61/33.59            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.59            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.61/33.59            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.61/33.59            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.59            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.59            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.59            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.59            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.59            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.59            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.59            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.59            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.59            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.59            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.59            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.59            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.59            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.59            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.59            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.59            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.59            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.59            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.59            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.59            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.59            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.59            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.59            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.59            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.59            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.59            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.59            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.59            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.59            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.59            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.59            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.59            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.59            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.59            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.59            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.59            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.59            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.59              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.61/33.59            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.59            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.59              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.61/33.59            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.59            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.61/33.59                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.59                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.59                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.59                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.59                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.61/33.59                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.59                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.59              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.59                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.59                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.59                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.59                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.59                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.59                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.59                $i(all_57_7))))
% 196.61/33.60    (48)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.61/33.60          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.61/33.60    (49)   ~ (all_52_12 = all_52_14)
% 196.61/33.60    (50)   ~ (all_52_2 = all_32_0)
% 196.61/33.60    (51)   ~ (all_52_14 = all_32_0)
% 196.61/33.60    (52)   ~ (all_52_8 = e1)
% 196.61/33.60    (53)  op(e0, e1) = all_52_11
% 196.61/33.60    (54)   ~ (all_52_12 = e3)
% 196.61/33.60    (55)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.61/33.60            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.61/33.60              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.61/33.60    (56)   ~ (all_52_14 = e1)
% 196.61/33.60    (57)   ~ (all_52_1 = e1)
% 196.61/33.60    (58)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.60          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.61/33.60    (59)   ~ (all_4_2 = e3)
% 196.61/33.60    (60)   ~ (all_52_8 = all_52_12)
% 196.61/33.60    (61)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.61/33.60    (62)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.61/33.60          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.61/33.60    (63)  all_54_11 = all_52_14
% 196.61/33.60    (64)   ~ (all_52_4 = all_32_0)
% 196.61/33.60    (65)   ~ (all_32_0 = e3)
% 196.61/33.60    (66)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.61/33.60    (67)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.60          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.61/33.60    (68)   ~ (e1 = e0)
% 196.61/33.60    (69)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 196.61/33.60    (70)   ~ (all_52_8 = all_52_11)
% 196.61/33.60    (71)   ~ (all_52_4 = e1)
% 196.61/33.60    (72)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 196.61/33.60          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 196.61/33.60    (73)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.60          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.60    (74)  all_36_2 = e0
% 196.61/33.60    (75)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.61/33.60              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.61/33.60                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.61/33.60                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.61/33.60    (76)   ~ (e2 = e1)
% 196.61/33.60    (77)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.60          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.61/33.60    (78)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.61/33.60    (79)   ~ (all_52_12 = e1)
% 196.61/33.60    (80)   ~ (all_52_2 = e1)
% 196.61/33.60    (81)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 196.61/33.60          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.61/33.60    (82)  op(e3, e0) = all_52_12
% 196.61/33.60    (83)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.61/33.60    (84)   ~ (all_52_2 = all_52_3)
% 196.61/33.60    (85)  op(e2, e1) = all_52_9
% 196.61/33.60    (86)   ~ (all_52_1 = all_52_2)
% 196.61/33.60    (87)   ~ (all_52_1 = all_52_3)
% 196.61/33.60    (88)  op(e3, e1) = all_52_8
% 196.61/33.60    (89)  op(e0, e0) = e3
% 196.61/33.60    (90)  op(e2, e2) = e0
% 196.61/33.60    (91)   ~ (all_52_9 = all_52_13)
% 196.61/33.60    (92)   ~ (e3 = e1)
% 196.61/33.60    (93)  all_54_1 = all_52_4
% 196.61/33.60    (94)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.61/33.60          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.61/33.60    (95)   ~ (all_52_6 = e1)
% 196.61/33.60    (96)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.61/33.60          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.61/33.60    (97)   ~ (all_32_0 = e0)
% 196.61/33.60    (98)   ~ (e2 = e0)
% 196.61/33.60    (99)  op(e2, e3) = all_52_1
% 196.61/33.60    (100)   ~ (e3 = e0)
% 196.61/33.60    (101)   ~ (all_52_3 = all_52_11)
% 196.61/33.60    (102)  all_56_13 = e1
% 196.61/33.60  
% 196.61/33.60  Begin of proof
% 196.61/33.60  | 
% 196.61/33.60  | BETA: splitting (44) gives:
% 196.61/33.60  | 
% 196.61/33.60  | Case 1:
% 196.61/33.60  | | 
% 196.61/33.60  | |   (103)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 196.61/33.60  | |            e3)
% 196.61/33.60  | | 
% 196.61/33.60  | | BETA: splitting (103) gives:
% 196.61/33.60  | | 
% 196.61/33.60  | | Case 1:
% 196.61/33.60  | | | 
% 196.61/33.60  | | |   (104)  all_56_1 = e3 & op(e3, e2) = e3
% 196.61/33.60  | | | 
% 196.61/33.60  | | | ALPHA: (104) implies:
% 196.61/33.60  | | |   (105)  all_56_1 = e3
% 196.61/33.60  | | |   (106)  op(e3, e2) = e3
% 196.61/33.60  | | | 
% 196.61/33.60  | | | BETA: splitting (96) gives:
% 196.61/33.60  | | | 
% 196.61/33.60  | | | Case 1:
% 196.61/33.60  | | | | 
% 196.61/33.60  | | | |   (107)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 196.61/33.60  | | | |            = e3)
% 196.61/33.60  | | | | 
% 196.61/33.60  | | | | BETA: splitting (107) gives:
% 196.61/33.60  | | | | 
% 196.61/33.60  | | | | Case 1:
% 196.61/33.60  | | | | | 
% 196.61/33.60  | | | | |   (108)  all_56_6 = e3 & op(e1, e3) = e3
% 196.61/33.60  | | | | | 
% 196.61/33.60  | | | | | ALPHA: (108) implies:
% 196.61/33.60  | | | | |   (109)  all_56_6 = e3
% 196.61/33.60  | | | | | 
% 196.61/33.60  | | | | | BETA: splitting (83) gives:
% 196.61/33.60  | | | | | 
% 196.61/33.60  | | | | | Case 1:
% 196.61/33.60  | | | | | | 
% 196.61/33.60  | | | | | |   (110)  all_54_9 = e2
% 196.61/33.60  | | | | | | 
% 196.61/33.60  | | | | | | COMBINE_EQS: (8), (110) imply:
% 196.61/33.60  | | | | | |   (111)  all_32_0 = e2
% 196.61/33.60  | | | | | | 
% 196.61/33.60  | | | | | | SIMP: (111) implies:
% 196.61/33.60  | | | | | |   (112)  all_32_0 = e2
% 196.61/33.60  | | | | | | 
% 196.61/33.60  | | | | | | REDUCE: (50), (112) imply:
% 196.61/33.60  | | | | | |   (113)   ~ (all_52_2 = e2)
% 196.61/33.60  | | | | | | 
% 196.61/33.60  | | | | | | REDUCE: (64), (112) imply:
% 196.61/33.60  | | | | | |   (114)   ~ (all_52_4 = e2)
% 196.61/33.60  | | | | | | 
% 196.61/33.60  | | | | | | REDUCE: (51), (112) imply:
% 196.61/33.60  | | | | | |   (115)   ~ (all_52_14 = e2)
% 196.61/33.60  | | | | | | 
% 196.61/33.60  | | | | | | REDUCE: (65), (112) imply:
% 196.61/33.60  | | | | | |   (116)   ~ (e3 = e2)
% 196.61/33.60  | | | | | | 
% 196.61/33.60  | | | | | | BETA: splitting (94) gives:
% 196.61/33.60  | | | | | | 
% 196.61/33.60  | | | | | | Case 1:
% 196.61/33.60  | | | | | | | 
% 196.61/33.60  | | | | | | |   (117)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 &
% 196.61/33.60  | | | | | | |            op(e1, e2) = e2)
% 196.61/33.60  | | | | | | | 
% 196.61/33.60  | | | | | | | BETA: splitting (117) gives:
% 196.61/33.60  | | | | | | | 
% 196.61/33.60  | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | 
% 196.61/33.60  | | | | | | | |   (118)  all_56_6 = e2 & op(e1, e3) = e2
% 196.61/33.60  | | | | | | | | 
% 196.61/33.60  | | | | | | | | REF_CLOSE: (24), (109), (118) are inconsistent by sub-proof
% 196.61/33.60  | | | | | | | |            #1853.
% 196.61/33.60  | | | | | | | | 
% 196.61/33.60  | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | 
% 196.61/33.60  | | | | | | | |   (119)  all_56_7 = e2 & op(e1, e2) = e2
% 196.61/33.60  | | | | | | | | 
% 196.61/33.60  | | | | | | | | ALPHA: (119) implies:
% 196.61/33.60  | | | | | | | |   (120)  all_56_7 = e2
% 196.61/33.60  | | | | | | | | 
% 196.61/33.60  | | | | | | | | BETA: splitting (81) gives:
% 196.61/33.60  | | | | | | | | 
% 196.61/33.60  | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | 
% 196.61/33.60  | | | | | | | | |   (121)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 &
% 196.61/33.60  | | | | | | | | |            op(e2, e0) = e2)
% 196.61/33.60  | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | BETA: splitting (121) gives:
% 196.61/33.60  | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | |   (122)  all_56_9 = e2 & op(e3, e0) = e2
% 196.61/33.60  | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | ALPHA: (122) implies:
% 196.61/33.60  | | | | | | | | | |   (123)  all_56_9 = e2
% 196.61/33.60  | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | BETA: splitting (21) gives:
% 196.61/33.60  | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | |   (124)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 196.61/33.60  | | | | | | | | | | |            & op(e2, e3) = e0)
% 196.61/33.60  | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | REF_CLOSE: (9), (24), (25), (27), (28), (40), (55), (58),
% 196.61/33.60  | | | | | | | | | | |            (59), (67), (68), (74), (76), (77), (90), (92),
% 196.61/33.60  | | | | | | | | | | |            (98), (100), (124) are inconsistent by sub-proof
% 196.61/33.60  | | | | | | | | | | |            #1074.
% 196.61/33.60  | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | |   (125)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 196.61/33.60  | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 196.61/33.60  | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | BETA: splitting (125) gives:
% 196.61/33.60  | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | |   (126)  all_56_6 = e0 & op(e1, e3) = e0
% 196.61/33.60  | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | REF_CLOSE: (1), (20), (24), (25), (26), (27), (28), (44),
% 196.61/33.60  | | | | | | | | | | | |            (48), (54), (59), (68), (71), (72), (76), (82),
% 196.61/33.60  | | | | | | | | | | | |            (90), (92), (98), (100), (102), (105), (109),
% 196.61/33.60  | | | | | | | | | | | |            (126) are inconsistent by sub-proof #1071.
% 196.61/33.60  | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | |   (127)  all_56_12 = e0 & op(e0, e3) = e0
% 196.61/33.60  | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | ALPHA: (127) implies:
% 196.61/33.60  | | | | | | | | | | | |   (128)  all_56_12 = e0
% 196.61/33.60  | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | BETA: splitting (39) gives:
% 196.61/33.60  | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | |   (129)  all_54_11 = e3
% 196.61/33.60  | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | REF_CLOSE: (37), (63), (129) are inconsistent by sub-proof
% 196.61/33.60  | | | | | | | | | | | | |            #1277.
% 196.61/33.60  | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | |   (130)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.61/33.60  | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | BETA: splitting (12) gives:
% 196.61/33.60  | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | |   (131)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 196.61/33.60  | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 196.61/33.60  | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 196.61/33.60  | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | |   (132)  all_56_0 = e2 & op(e3, e3) = e2
% 196.61/33.60  | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | ALPHA: (132) implies:
% 196.61/33.60  | | | | | | | | | | | | | | |   (133)  op(e3, e3) = e2
% 196.61/33.60  | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (76), (133) are inconsistent by
% 196.61/33.60  | | | | | | | | | | | | | | |            sub-proof #1934.
% 196.61/33.60  | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | |   (134)  all_56_2 = e2 & op(e2, e3) = e2
% 196.61/33.60  | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 196.61/33.60  | | | | | | | | | | | | | | |   (135)  all_56_2 = e2
% 196.61/33.60  | | | | | | | | | | | | | | |   (136)  op(e2, e3) = e2
% 196.61/33.60  | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | |   (137)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 196.61/33.60  | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 196.61/33.60  | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | REF_CLOSE: (24), (25), (27), (59), (135), (137) are
% 196.61/33.60  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1070.
% 196.61/33.60  | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | |   (138)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 196.61/33.60  | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 196.61/33.60  | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | |   (139)  all_56_5 = e3 & op(e2, e1) = e3
% 196.61/33.60  | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 196.61/33.60  | | | | | | | | | | | | | | | | |   (140)  all_56_5 = e3
% 196.61/33.60  | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | |   (141)  all_54_1 = e3
% 196.61/33.60  | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (141) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | |   (142)  all_52_4 = e3
% 196.61/33.60  | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | REDUCE: (33), (142) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | |   (143)   ~ (all_52_8 = e3)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | SIMP: (143) implies:
% 196.61/33.60  | | | | | | | | | | | | | | | | | |   (144)   ~ (all_52_8 = e3)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | REDUCE: (45), (142) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | |   (145)   ~ (all_52_12 = e3)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | |   (146)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | |   (147)  all_56_0 = e0 & op(e3, e3) = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (147) implies:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | |   (148)  op(e3, e3) = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (68), (148) are inconsistent by
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | |            sub-proof #1937.
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | |   (149)  all_56_1 = e0 & op(e3, e2) = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (149) implies:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | |   (150)  all_56_1 = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (20), (24), (25), (26), (27), (28), (44),
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | |            (48), (54), (59), (68), (71), (72), (76), (82),
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | |            (90), (92), (98), (100), (102), (150) are
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1072.
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | |   (151)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | |   (152)  all_56_4 = e0 & op(e3, e1) = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (152) implies:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | |   (153)  all_56_4 = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | |   (154)  all_54_11 = e2
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (115), (154) are inconsistent by sub-proof
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | |            #1339.
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | |   (155)  all_54_11 = e1 | all_54_11 = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | |   (156)  all_54_11 = e1
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (63), (156) are inconsistent by sub-proof
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | |            #1338.
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | |   (157)  all_54_11 = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (157) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | |   (158)  all_52_14 = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | SIMP: (158) implies:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | |   (159)  all_52_14 = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (159) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | |   (160)   ~ (all_52_2 = e0)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (159) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | |   (161)   ~ (all_52_12 = e0)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (159) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | |   (162)   ~ (e1 = e0)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | |   (163)  all_54_8 = e3
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (163) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | |   (164)  all_52_2 = e3
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (164) implies:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | |   (165)  all_52_2 = e3
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (165) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | |   (166)   ~ (all_52_1 = e3)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (165) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | |   (167)   ~ (all_52_3 = e3)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (167) implies:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | |   (168)   ~ (all_52_3 = e3)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_54_3 = e3
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (169) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | |   (170)  all_52_12 = e3
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (170) imply:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | |   (171)  $false
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | |   (172)   ~ (all_54_3 = e3)
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_54_3 = e2
% 196.61/33.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (174) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_52_12 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (175) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (176)   ~ (all_52_8 = e2)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  all_54_4 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (177) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_52_1 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (178) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  $false
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (179) is inconsistent.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (180)   ~ (all_54_4 = e3)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_54_4 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (182) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  all_52_1 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (183) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)   ~ (all_52_3 = e2)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (184) implies:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_52_3 = e2)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (183) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (186)   ~ (all_52_9 = e2)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (186) implies:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (187)   ~ (all_52_9 = e2)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_54_12 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (168), (188) are inconsistent by sub-proof
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1466.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)   ~ (all_54_12 = e3)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_54_12 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (185), (191) are inconsistent by sub-proof
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1465.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)   ~ (all_54_12 = e2)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_54_12 = e1 | all_54_12 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_54_2 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (194) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_52_8 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (195) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  $false
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (196) is inconsistent.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)   ~ (all_54_2 = e3)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_54_2 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (199) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_52_8 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (176), (200) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  $false
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (201) is inconsistent.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)   ~ (all_54_2 = e2)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_54_2 = e1 | all_54_2 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (27), (28), (59), (76), (206) are
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1893.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (25), (80), (88), (144), (207) are
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1733.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  op(e3, e3) = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (68), (211) are inconsistent by
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1937.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & $i(all_57_1)))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (212) implies:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  op(e3, e0) = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_54_2 = e1
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (214) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_52_8 = e1
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (215) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  $false
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (216) is inconsistent.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_54_2 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (217) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_52_8 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (218) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)   ~ (all_52_11 = e0)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)   ~ (all_52_11 = e0)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (218) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)   ~ (e3 = e0)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (176), (218) imply:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)   ~ (e2 = e0)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (16), (17), (24), (25), (27), (30),
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (38), (53), (59), (68), (76), (80),
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (98), (100), (140), (193), (224) are
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1068.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (25), (76), (89), (226) are
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1081.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (25), (28), (95), (227) are inconsistent by
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (85), (89), (92), (187), (230) are
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1221.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (89), (92), (100), (213), (231) are
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.61/33.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (10), (16), (17), (24), (25), (27),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (30), (31), (32), (38), (40), (41), (47),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (54), (56), (59), (68), (73), (76), (80),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (85), (89), (90), (91), (92), (95), (98),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (106), (140), (153), (193), (220), (232)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1063.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (68), (76), (90), (106), (233) are
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1378.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  op(e2, e0) = e2
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (10), (16), (17), (22), (24), (25),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (30), (31), (32), (38), (40), (41),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (52), (53), (54), (56), (59), (70), (73),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (82), (85), (89), (90), (91), (92),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (95), (106), (140), (144), (153), (176), (193),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (238) are inconsistent by sub-proof #1062.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (76), (106), (240) are inconsistent by
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1888.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (53), (89), (92), (241) are
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1108.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (25), (28), (68), (76), (92), (106), (109),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (135), (243) are inconsistent by sub-proof
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1377.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_54_12 = e1
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (32), (247) are inconsistent by sub-proof
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1464.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_54_12 = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (248) imply:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_52_3 = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (249) implies:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_52_3 = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (250) imply:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)   ~ (all_52_11 = e0)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (251) implies:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)   ~ (all_52_11 = e0)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (250) imply:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)   ~ (e3 = e0)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (250) imply:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)   ~ (e2 = e0)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (10), (16), (17), (24), (25), (27),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (30), (31), (32), (38), (53), (59), (68), (76),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (90), (92), (95), (98), (100), (140),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (193), (255) are inconsistent by sub-proof #1067.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (259) implies:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  op(e0, e0) = e1
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (89), (92), (260) are inconsistent by
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1392.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (261) implies:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_57_7 = e2
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)   ~ (all_57_12 = e1)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (262), (263) are inconsistent by sub-proof
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1892.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (54), (82), (89), (92), (264) are
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1189.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (10), (16), (17), (24), (25), (27),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (30), (31), (32), (38), (40), (41), (47),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (54), (56), (59), (68), (73), (76), (80),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (85), (89), (90), (91), (92), (95), (98),
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (106), (140), (153), (193), (252), (265)
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1063.
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  op(e0, e0) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (10), (16), (17), (24), (25), (27),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (30), (31), (32), (38), (53), (59), (68), (76),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (89), (90), (92), (95), (98), (100), (140),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (193), (268) are inconsistent by sub-proof #1067.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (68), (85), (187), (267), (271) are
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1485.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (54), (68), (82), (267), (272) are
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1828.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (68), (274) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1936.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (276) implies:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  op(e2, e0) = e2
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (10), (16), (17), (22), (24), (25),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (30), (31), (32), (38), (40), (41),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (52), (53), (54), (56), (59), (70), (73),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (76), (80), (82), (85), (89), (90), (91), (92),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (95), (106), (140), (144), (153), (176), (193),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (277) are inconsistent by sub-proof #1062.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  op(e1, e0) = e1
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (41), (56), (280) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (281) implies:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (24), (25), (27), (30), (31), (53),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (59), (68), (76), (92), (98), (100), (106), (140),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (283) are inconsistent by sub-proof #1066.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (285) implies:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  op(e1, e1) = e2
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (25), (76), (286) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1955.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  op(e0, e1) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (25), (52), (53), (70), (203), (289) are
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1075.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (290) implies:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  op(e2, e2) = e1
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (68), (90), (291) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1909.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)   ~ (all_54_4 = e2)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (292) imply:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)   ~ (all_52_1 = e2)
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (99), (136), (293) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1785.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_54_3 = e1 | all_54_3 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (79), (161), (294) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_54_8 = e2
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (113), (296) are inconsistent by sub-proof
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | |            #1258.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_54_8 = e1 | all_54_8 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (80), (160), (297) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1365.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | |   (298)  all_56_9 = e0 & op(e3, e0) = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | ALPHA: (298) implies:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | |   (299)  all_56_9 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (123), (299) imply:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | |   (300)  e2 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (300) imply:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | |   (301)  all_56_2 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (25), (27), (55), (58), (59), (67), (68),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | |            (74), (76), (77), (90), (92), (98), (100), (140),
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | |            (301) are inconsistent by sub-proof #1701.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | |   (302)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.61/33.63  | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (71), (93), (114), (302) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | | | | | |            sub-proof #1897.
% 196.61/33.63  | | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | |   (303)  all_56_10 = e3 & op(e2, e0) = e3
% 196.61/33.63  | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (25), (40), (303) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 196.61/33.63  | | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | |   (304)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 196.61/33.63  | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 196.61/33.63  | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (20), (21), (24), (25), (27), (28),
% 196.61/33.63  | | | | | | | | | | | | | |            (40), (55), (58), (59), (67), (68), (74), (76),
% 196.61/33.63  | | | | | | | | | | | | | |            (77), (90), (92), (98), (100), (102), (106),
% 196.61/33.63  | | | | | | | | | | | | | |            (109), (120), (128), (304) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | |            sub-proof #1058.
% 196.61/33.63  | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | |   (305)  all_56_10 = e2 & op(e2, e0) = e2
% 196.61/33.63  | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | ALPHA: (305) implies:
% 196.61/33.63  | | | | | | | | | |   (306)  all_56_10 = e2
% 196.61/33.63  | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | REF_CLOSE: (18), (76), (306) are inconsistent by sub-proof
% 196.61/33.63  | | | | | | | | | |            #1197.
% 196.61/33.63  | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | End of split
% 196.61/33.63  | | | | | | | | | 
% 196.61/33.63  | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | 
% 196.61/33.63  | | | | | | | | |   (307)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2
% 196.61/33.63  | | | | | | | | |            & op(e0, e0) = e2)
% 196.61/33.63  | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | BETA: splitting (307) gives:
% 196.61/33.63  | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | |   (308)  all_56_11 = e2 & op(e1, e0) = e2
% 196.61/33.63  | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | ALPHA: (308) implies:
% 196.61/33.63  | | | | | | | | | |   (309)  all_56_11 = e2
% 196.61/33.63  | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | BETA: splitting (21) gives:
% 196.61/33.63  | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | |   (310)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 196.61/33.63  | | | | | | | | | | |            & op(e2, e3) = e0)
% 196.61/33.63  | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | REF_CLOSE: (9), (24), (25), (27), (28), (40), (55), (58),
% 196.61/33.63  | | | | | | | | | | |            (59), (67), (68), (74), (76), (77), (90), (92),
% 196.61/33.63  | | | | | | | | | | |            (98), (100), (310) are inconsistent by sub-proof
% 196.61/33.63  | | | | | | | | | | |            #1074.
% 196.61/33.63  | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | |   (311)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 196.61/33.63  | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 196.61/33.63  | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | BETA: splitting (311) gives:
% 196.61/33.63  | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | |   (312)  all_56_6 = e0 & op(e1, e3) = e0
% 196.61/33.63  | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | REF_CLOSE: (1), (20), (24), (25), (26), (27), (28), (44),
% 196.61/33.63  | | | | | | | | | | | |            (48), (54), (59), (68), (71), (72), (76), (82),
% 196.61/33.63  | | | | | | | | | | | |            (90), (92), (98), (100), (102), (105), (109),
% 196.61/33.63  | | | | | | | | | | | |            (312) are inconsistent by sub-proof #1071.
% 196.61/33.63  | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | |   (313)  all_56_12 = e0 & op(e0, e3) = e0
% 196.61/33.63  | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | ALPHA: (313) implies:
% 196.61/33.63  | | | | | | | | | | | |   (314)  all_56_12 = e0
% 196.61/33.63  | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | BETA: splitting (75) gives:
% 196.61/33.63  | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | |   (315)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.63  | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | REF_CLOSE: (1), (20), (24), (25), (26), (27), (28), (42),
% 196.61/33.63  | | | | | | | | | | | | |            (44), (48), (54), (59), (68), (71), (72), (76),
% 196.61/33.63  | | | | | | | | | | | | |            (82), (90), (92), (98), (100), (102), (105), (315)
% 196.61/33.63  | | | | | | | | | | | | |            are inconsistent by sub-proof #1057.
% 196.61/33.63  | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | |   (316)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/33.63  | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.61/33.63  | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.61/33.63  | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.61/33.63  | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.61/33.63  | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | ALPHA: (316) implies:
% 196.61/33.63  | | | | | | | | | | | | |   (317)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/33.63  | | | | | | | | | | | | |            e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 196.61/33.63  | | | | | | | | | | | | |              e0) = e0)
% 196.61/33.63  | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | BETA: splitting (317) gives:
% 196.61/33.63  | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | |   (318)  all_56_9 = e0 & op(e3, e0) = e0
% 196.61/33.63  | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | ALPHA: (318) implies:
% 196.61/33.63  | | | | | | | | | | | | | |   (319)  all_56_9 = e0
% 196.61/33.63  | | | | | | | | | | | | | |   (320)  op(e3, e0) = e0
% 196.61/33.63  | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 196.61/33.63  | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | |   (321)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 196.61/33.63  | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 196.61/33.63  | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 196.61/33.63  | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | Case 1:
% 196.61/33.63  | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | |   (322)  all_56_0 = e2 & op(e3, e3) = e2
% 196.61/33.63  | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 196.61/33.63  | | | | | | | | | | | | | | | |   (323)  op(e3, e3) = e2
% 196.61/33.63  | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (76), (323) are inconsistent by
% 196.61/33.63  | | | | | | | | | | | | | | | |            sub-proof #1934.
% 196.61/33.63  | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | Case 2:
% 196.61/33.63  | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | |   (324)  all_56_2 = e2 & op(e2, e3) = e2
% 196.61/33.63  | | | | | | | | | | | | | | | | 
% 196.61/33.63  | | | | | | | | | | | | | | | | ALPHA: (324) implies:
% 196.61/33.63  | | | | | | | | | | | | | | | |   (325)  all_56_2 = e2
% 196.61/33.63  | | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (9), (12), (20), (21), (24), (25), (27),
% 196.61/33.64  | | | | | | | | | | | | | | | |            (28), (34), (40), (48), (55), (58), (59), (67),
% 196.61/33.64  | | | | | | | | | | | | | | | |            (68), (72), (74), (76), (77), (90), (92), (98),
% 196.61/33.64  | | | | | | | | | | | | | | | |            (100), (102), (105), (106), (109), (309), (314),
% 196.61/33.64  | | | | | | | | | | | | | | | |            (319), (320), (325) are inconsistent by sub-proof
% 196.61/33.64  | | | | | | | | | | | | | | | |            #1056.
% 196.61/33.64  | | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | |   (326)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 196.61/33.64  | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (20), (21), (24), (25), (27), (28),
% 196.61/33.64  | | | | | | | | | | | | | | |            (40), (55), (58), (59), (67), (68), (74), (76),
% 196.61/33.64  | | | | | | | | | | | | | | |            (77), (90), (92), (98), (100), (102), (106),
% 196.61/33.64  | | | | | | | | | | | | | | |            (109), (120), (314), (326) are inconsistent by
% 196.61/33.64  | | | | | | | | | | | | | | |            sub-proof #1058.
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | |   (327)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 196.61/33.64  | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | Case 1:
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | |   (328)  all_56_10 = e0 & op(e2, e0) = e0
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 196.61/33.64  | | | | | | | | | | | | | | |   (329)  all_56_10 = e0
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | | REF_CLOSE: (18), (68), (329) are inconsistent by sub-proof
% 196.61/33.64  | | | | | | | | | | | | | | |            #1411.
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | |   (330)  all_56_11 = e0 & op(e1, e0) = e0
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | | ALPHA: (330) implies:
% 196.61/33.64  | | | | | | | | | | | | | | |   (331)  all_56_11 = e0
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | | COMBINE_EQS: (309), (331) imply:
% 196.61/33.64  | | | | | | | | | | | | | | |   (332)  e2 = e0
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | | COMBINE_EQS: (120), (332) imply:
% 196.61/33.64  | | | | | | | | | | | | | | |   (333)  all_56_7 = e0
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (20), (21), (24), (25), (27), (28),
% 196.61/33.64  | | | | | | | | | | | | | | |            (40), (55), (58), (59), (67), (68), (74), (76),
% 196.61/33.64  | | | | | | | | | | | | | | |            (77), (90), (92), (98), (100), (102), (106),
% 196.61/33.64  | | | | | | | | | | | | | | |            (109), (314), (333) are inconsistent by sub-proof
% 196.61/33.64  | | | | | | | | | | | | | | |            #1059.
% 196.61/33.64  | | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | |   (334)  all_56_15 = e2 & op(e0, e0) = e2
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | ALPHA: (334) implies:
% 196.61/33.64  | | | | | | | | | |   (335)  op(e0, e0) = e2
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | REF_CLOSE: (24), (25), (89), (335) are inconsistent by
% 196.61/33.64  | | | | | | | | | |            sub-proof #1692.
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | 
% 196.61/33.64  | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | 
% 196.61/33.64  | | | | | | | End of split
% 196.61/33.64  | | | | | | | 
% 196.61/33.64  | | | | | | Case 2:
% 196.61/33.64  | | | | | | | 
% 196.61/33.64  | | | | | | |   (336)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 196.61/33.64  | | | | | | |            op(e1, e0) = e2)
% 196.61/33.64  | | | | | | | 
% 196.61/33.64  | | | | | | | BETA: splitting (336) gives:
% 196.61/33.64  | | | | | | | 
% 196.61/33.64  | | | | | | | Case 1:
% 196.61/33.64  | | | | | | | | 
% 196.61/33.64  | | | | | | | |   (337)  all_56_8 = e2 & op(e1, e1) = e2
% 196.61/33.64  | | | | | | | | 
% 196.61/33.64  | | | | | | | | ALPHA: (337) implies:
% 196.61/33.64  | | | | | | | |   (338)  op(e1, e1) = e2
% 196.61/33.64  | | | | | | | | 
% 196.61/33.64  | | | | | | | | REF_CLOSE: (2), (25), (76), (338) are inconsistent by sub-proof
% 196.61/33.64  | | | | | | | |            #1955.
% 196.61/33.64  | | | | | | | | 
% 196.61/33.64  | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | 
% 196.61/33.64  | | | | | | | |   (339)  all_56_11 = e2 & op(e1, e0) = e2
% 196.61/33.64  | | | | | | | | 
% 196.61/33.64  | | | | | | | | ALPHA: (339) implies:
% 196.61/33.64  | | | | | | | |   (340)  all_56_11 = e2
% 196.61/33.64  | | | | | | | | 
% 196.61/33.64  | | | | | | | | BETA: splitting (21) gives:
% 196.61/33.64  | | | | | | | | 
% 196.61/33.64  | | | | | | | | Case 1:
% 196.61/33.64  | | | | | | | | | 
% 196.61/33.64  | | | | | | | | |   (341)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 196.61/33.64  | | | | | | | | |            op(e2, e3) = e0)
% 196.61/33.64  | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | REF_CLOSE: (9), (24), (25), (27), (28), (40), (55), (58),
% 196.61/33.64  | | | | | | | | |            (59), (67), (68), (74), (76), (77), (90), (92),
% 196.61/33.64  | | | | | | | | |            (98), (100), (341) are inconsistent by sub-proof
% 196.61/33.64  | | | | | | | | |            #1074.
% 196.61/33.64  | | | | | | | | | 
% 196.61/33.64  | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | 
% 196.61/33.64  | | | | | | | | |   (342)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 196.61/33.64  | | | | | | | | |            op(e0, e3) = e0)
% 196.61/33.64  | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | BETA: splitting (342) gives:
% 196.61/33.64  | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | Case 1:
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | |   (343)  all_56_6 = e0 & op(e1, e3) = e0
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | REF_CLOSE: (1), (20), (24), (25), (26), (27), (28), (44),
% 196.61/33.64  | | | | | | | | | |            (48), (54), (59), (68), (71), (72), (76), (82),
% 196.61/33.64  | | | | | | | | | |            (90), (92), (98), (100), (102), (105), (109),
% 196.61/33.64  | | | | | | | | | |            (343) are inconsistent by sub-proof #1071.
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | |   (344)  all_56_12 = e0 & op(e0, e3) = e0
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | ALPHA: (344) implies:
% 196.61/33.64  | | | | | | | | | |   (345)  all_56_12 = e0
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | BETA: splitting (75) gives:
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | Case 1:
% 196.61/33.64  | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | |   (346)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.64  | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | REF_CLOSE: (1), (20), (24), (25), (26), (27), (28), (42),
% 196.61/33.64  | | | | | | | | | | |            (44), (48), (54), (59), (68), (71), (72), (76),
% 196.61/33.64  | | | | | | | | | | |            (82), (90), (92), (98), (100), (102), (105), (346)
% 196.61/33.64  | | | | | | | | | | |            are inconsistent by sub-proof #1057.
% 196.61/33.64  | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | |   (347)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/33.64  | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.61/33.64  | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.61/33.64  | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.61/33.64  | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.61/33.64  | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | ALPHA: (347) implies:
% 196.61/33.64  | | | | | | | | | | |   (348)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.61/33.64  | | | | | | | | | | |            e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 196.61/33.64  | | | | | | | | | | |              e0) = e0)
% 196.61/33.64  | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | BETA: splitting (348) gives:
% 196.61/33.64  | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | Case 1:
% 196.61/33.64  | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | |   (349)  all_56_9 = e0 & op(e3, e0) = e0
% 196.61/33.64  | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | ALPHA: (349) implies:
% 196.61/33.64  | | | | | | | | | | | |   (350)  all_56_9 = e0
% 196.61/33.64  | | | | | | | | | | | |   (351)  op(e3, e0) = e0
% 196.61/33.64  | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | BETA: splitting (12) gives:
% 196.61/33.64  | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | Case 1:
% 196.61/33.64  | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | |   (352)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 196.61/33.64  | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 196.61/33.64  | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | BETA: splitting (352) gives:
% 196.61/33.64  | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | Case 1:
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | |   (353)  all_56_0 = e2 & op(e3, e3) = e2
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | ALPHA: (353) implies:
% 196.61/33.64  | | | | | | | | | | | | | |   (354)  op(e3, e3) = e2
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (76), (354) are inconsistent by
% 196.61/33.64  | | | | | | | | | | | | | |            sub-proof #1934.
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | |   (355)  all_56_2 = e2 & op(e2, e3) = e2
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | ALPHA: (355) implies:
% 196.61/33.64  | | | | | | | | | | | | | |   (356)  all_56_2 = e2
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | REF_CLOSE: (2), (9), (12), (20), (21), (24), (25), (27),
% 196.61/33.64  | | | | | | | | | | | | | |            (28), (34), (40), (48), (55), (58), (59), (67),
% 196.61/33.64  | | | | | | | | | | | | | |            (68), (72), (74), (76), (77), (90), (92), (98),
% 196.61/33.64  | | | | | | | | | | | | | |            (100), (102), (105), (106), (109), (340), (345),
% 196.61/33.64  | | | | | | | | | | | | | |            (350), (351), (356) are inconsistent by sub-proof
% 196.61/33.64  | | | | | | | | | | | | | |            #1056.
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | |   (357)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 196.61/33.64  | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 196.61/33.64  | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | BETA: splitting (357) gives:
% 196.61/33.64  | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | Case 1:
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | |   (358)  all_56_6 = e2 & op(e1, e3) = e2
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | REF_CLOSE: (24), (109), (358) are inconsistent by sub-proof
% 196.61/33.64  | | | | | | | | | | | | | |            #1853.
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | |   (359)  all_56_12 = e2 & op(e0, e3) = e2
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | | REF_CLOSE: (98), (345), (359) are inconsistent by sub-proof
% 196.61/33.64  | | | | | | | | | | | | | |            #1060.
% 196.61/33.64  | | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | Case 2:
% 196.61/33.64  | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | |   (360)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 196.61/33.64  | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 196.61/33.64  | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | | REF_CLOSE: (18), (68), (98), (340), (360) are inconsistent by
% 196.61/33.64  | | | | | | | | | | | |            sub-proof #1097.
% 196.61/33.64  | | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | | 
% 196.61/33.64  | | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | | 
% 196.61/33.64  | | | | | | | | End of split
% 196.61/33.64  | | | | | | | | 
% 196.61/33.64  | | | | | | | End of split
% 196.61/33.64  | | | | | | | 
% 196.61/33.64  | | | | | | End of split
% 196.61/33.64  | | | | | | 
% 196.61/33.64  | | | | | Case 2:
% 196.61/33.64  | | | | | | 
% 196.61/33.64  | | | | | |   (361)  all_54_9 = e1 | all_54_9 = e0
% 196.61/33.64  | | | | | | 
% 196.61/33.64  | | | | | | REF_CLOSE: (11), (35), (95), (361) are inconsistent by sub-proof
% 196.61/33.64  | | | | | |            #1802.
% 196.61/33.64  | | | | | | 
% 196.61/33.64  | | | | | End of split
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | Case 2:
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | |   (362)  all_56_7 = e3 & op(e1, e2) = e3
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | ALPHA: (362) implies:
% 196.61/33.64  | | | | |   (363)  all_56_7 = e3
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | REF_CLOSE: (20), (24), (25), (76), (90), (98), (102), (106), (363) are
% 196.61/33.64  | | | | |            inconsistent by sub-proof #1923.
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | End of split
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | Case 2:
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | |   (364)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1,
% 196.61/33.64  | | | |              e0) = e3)
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | REF_CLOSE: (2), (25), (37), (41), (92), (364) are inconsistent by
% 196.61/33.64  | | | |            sub-proof #1055.
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | End of split
% 196.61/33.64  | | | 
% 196.61/33.64  | | Case 2:
% 196.61/33.64  | | | 
% 196.61/33.64  | | |   (365)  all_56_3 = e3 & op(e2, e2) = e3
% 196.61/33.64  | | | 
% 196.61/33.64  | | | ALPHA: (365) implies:
% 196.61/33.64  | | |   (366)  op(e2, e2) = e3
% 196.61/33.64  | | | 
% 196.61/33.64  | | | REF_CLOSE: (25), (27), (59), (366) are inconsistent by sub-proof #1975.
% 196.61/33.64  | | | 
% 196.61/33.64  | | End of split
% 196.61/33.64  | | 
% 196.61/33.64  | Case 2:
% 196.61/33.64  | | 
% 196.61/33.64  | |   (367)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 196.61/33.64  | |            e3)
% 196.61/33.64  | | 
% 196.61/33.64  | | BETA: splitting (367) gives:
% 196.61/33.64  | | 
% 196.61/33.64  | | Case 1:
% 196.61/33.64  | | | 
% 196.61/33.64  | | |   (368)  all_56_7 = e3 & op(e1, e2) = e3
% 196.61/33.64  | | | 
% 196.61/33.64  | | | ALPHA: (368) implies:
% 196.61/33.64  | | |   (369)  all_56_7 = e3
% 196.61/33.64  | | | 
% 196.61/33.64  | | | BETA: splitting (83) gives:
% 196.61/33.64  | | | 
% 196.61/33.64  | | | Case 1:
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | |   (370)  all_54_9 = e2
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | COMBINE_EQS: (8), (370) imply:
% 196.61/33.64  | | | |   (371)  all_32_0 = e2
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | SIMP: (371) implies:
% 196.61/33.64  | | | |   (372)  all_32_0 = e2
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | REDUCE: (64), (372) imply:
% 196.61/33.64  | | | |   (373)   ~ (all_52_4 = e2)
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | BETA: splitting (78) gives:
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | Case 1:
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | |   (374)  all_54_1 = e3
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | COMBINE_EQS: (93), (374) imply:
% 196.61/33.64  | | | | |   (375)  all_52_4 = e3
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | SIMP: (375) implies:
% 196.61/33.64  | | | | |   (376)  all_52_4 = e3
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | REDUCE: (26), (376) imply:
% 196.61/33.64  | | | | |   (377)  op(e3, e2) = e3
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | REF_CLOSE: (20), (24), (25), (76), (90), (98), (102), (369), (377) are
% 196.61/33.64  | | | | |            inconsistent by sub-proof #1923.
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | Case 2:
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | |   (378)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | REF_CLOSE: (36), (71), (93), (373), (378) are inconsistent by
% 196.61/33.64  | | | | |            sub-proof #1897.
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | End of split
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | Case 2:
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | |   (379)  all_54_9 = e1 | all_54_9 = e0
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | REF_CLOSE: (11), (35), (95), (379) are inconsistent by sub-proof #1802.
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | End of split
% 196.61/33.64  | | | 
% 196.61/33.64  | | Case 2:
% 196.61/33.64  | | | 
% 196.61/33.64  | | |   (380)  all_56_13 = e3 & op(e0, e2) = e3
% 196.61/33.64  | | | 
% 196.61/33.64  | | | ALPHA: (380) implies:
% 196.61/33.64  | | |   (381)  all_56_13 = e3
% 196.61/33.64  | | | 
% 196.61/33.64  | | | REF_CLOSE: (92), (102), (381) are inconsistent by sub-proof #1864.
% 196.61/33.64  | | | 
% 196.61/33.64  | | End of split
% 196.61/33.64  | | 
% 196.61/33.64  | End of split
% 196.61/33.64  | 
% 196.61/33.64  End of proof
% 196.61/33.64  
% 196.61/33.64  Sub-proof #1055 shows that the following formulas are inconsistent:
% 196.61/33.64  ----------------------------------------------------------------
% 196.61/33.64    (1)  op(e1, e1) = e1
% 196.61/33.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.64    (3)   ~ (all_52_14 = e3)
% 196.61/33.64    (4)  op(e1, e0) = all_52_14
% 196.61/33.64    (5)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.61/33.64    (6)   ~ (e3 = e1)
% 196.61/33.64  
% 196.61/33.64  Begin of proof
% 196.61/33.64  | 
% 196.61/33.64  | BETA: splitting (5) gives:
% 196.61/33.64  | 
% 196.61/33.64  | Case 1:
% 196.61/33.64  | | 
% 196.61/33.64  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 196.61/33.64  | | 
% 196.61/33.64  | | ALPHA: (7) implies:
% 196.61/33.64  | |   (8)  op(e1, e1) = e3
% 196.61/33.64  | | 
% 196.61/33.64  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1978.
% 196.61/33.64  | | 
% 196.61/33.64  | Case 2:
% 196.61/33.64  | | 
% 196.61/33.64  | |   (9)  all_56_11 = e3 & op(e1, e0) = e3
% 196.61/33.64  | | 
% 196.61/33.64  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1407.
% 196.61/33.64  | | 
% 196.61/33.64  | End of split
% 196.61/33.64  | 
% 196.61/33.64  End of proof
% 196.61/33.64  
% 196.61/33.64  Sub-proof #1056 shows that the following formulas are inconsistent:
% 196.61/33.64  ----------------------------------------------------------------
% 196.61/33.64    (1)  op(e1, e1) = e1
% 196.61/33.64    (2)   ~ (all_52_13 = e3)
% 196.61/33.64    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.61/33.64         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.61/33.64    (4)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.64         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.61/33.64    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.61/33.64         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.61/33.64    (6)   ~ (e3 = e2)
% 196.61/33.64    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.64    (8)  op(e2, e2) = all_4_2
% 196.61/33.64    (9)  op(e3, e3) = e1
% 196.61/33.64    (10)  all_56_11 = e2
% 196.61/33.64    (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.61/33.64          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.61/33.64    (12)  all_56_9 = e0
% 196.61/33.64    (13)  op(e2, e0) = all_52_13
% 196.61/33.64    (14)  op(e3, e0) = e0
% 196.61/33.64    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.61/33.64          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.61/33.64    (16)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.61/33.64            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.61/33.64              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.61/33.64    (17)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.64          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.61/33.64    (18)   ~ (all_4_2 = e3)
% 196.61/33.64    (19)  op(e3, e2) = e3
% 196.61/33.64    (20)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.64          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.61/33.64    (21)   ~ (e1 = e0)
% 196.61/33.64    (22)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 196.61/33.64          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 196.61/33.64    (23)  all_56_6 = e3
% 196.61/33.64    (24)  all_36_2 = e0
% 196.61/33.64    (25)   ~ (e2 = e1)
% 196.61/33.64    (26)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.64          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.61/33.64    (27)  all_56_2 = e2
% 196.61/33.64    (28)  all_56_12 = e0
% 196.61/33.64    (29)  all_56_1 = e3
% 196.61/33.64    (30)  op(e2, e2) = e0
% 196.61/33.64    (31)   ~ (e3 = e1)
% 196.61/33.64    (32)   ~ (e2 = e0)
% 196.61/33.64    (33)   ~ (e3 = e0)
% 196.61/33.64    (34)  all_56_13 = e1
% 196.61/33.64  
% 196.61/33.64  Begin of proof
% 196.61/33.64  | 
% 196.61/33.64  | BETA: splitting (17) gives:
% 196.61/33.64  | 
% 196.61/33.64  | Case 1:
% 196.61/33.64  | | 
% 196.61/33.64  | |   (35)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 196.61/33.64  | |           e3)
% 196.61/33.64  | | 
% 196.61/33.64  | | REF_CLOSE: (6), (7), (8), (18), (27), (35) are inconsistent by sub-proof
% 196.61/33.64  | |            #1070.
% 196.61/33.64  | | 
% 196.61/33.64  | Case 2:
% 196.61/33.64  | | 
% 196.61/33.64  | |   (36)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 196.61/33.64  | |           e3)
% 196.61/33.64  | | 
% 196.61/33.64  | | BETA: splitting (36) gives:
% 196.61/33.64  | | 
% 196.61/33.64  | | Case 1:
% 196.61/33.64  | | | 
% 196.61/33.64  | | |   (37)  all_56_5 = e3 & op(e2, e1) = e3
% 196.61/33.64  | | | 
% 196.61/33.64  | | | ALPHA: (37) implies:
% 196.61/33.64  | | |   (38)  all_56_5 = e3
% 196.61/33.64  | | | 
% 196.61/33.64  | | | BETA: splitting (11) gives:
% 196.61/33.64  | | | 
% 196.61/33.64  | | | Case 1:
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | |   (39)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2)
% 196.61/33.64  | | | |           = e0)
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | BETA: splitting (39) gives:
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | Case 1:
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | |   (40)  all_56_6 = e0 & op(e1, e3) = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | ALPHA: (40) implies:
% 196.61/33.64  | | | | |   (41)  all_56_6 = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | COMBINE_EQS: (23), (41) imply:
% 196.61/33.64  | | | | |   (42)  e3 = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | SIMP: (42) implies:
% 196.61/33.64  | | | | |   (43)  e3 = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | COMBINE_EQS: (29), (43) imply:
% 196.61/33.64  | | | | |   (44)  all_56_1 = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | REF_CLOSE: (6), (7), (9), (12), (14), (15), (22), (25), (31), (32),
% 196.61/33.64  | | | | |            (33), (44) are inconsistent by sub-proof #1416.
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | Case 2:
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | |   (45)  all_56_7 = e0 & op(e1, e2) = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | ALPHA: (45) implies:
% 196.61/33.64  | | | | |   (46)  all_56_7 = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (13), (16), (17),
% 196.61/33.64  | | | | |            (18), (19), (20), (21), (23), (24), (25), (26), (28), (30),
% 196.61/33.64  | | | | |            (31), (32), (33), (34), (46) are inconsistent by sub-proof
% 196.61/33.64  | | | | |            #1059.
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | End of split
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | Case 2:
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | |   (47)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.61/33.64  | | | |           = e0)
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | BETA: splitting (47) gives:
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | | Case 1:
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | |   (48)  all_56_8 = e0 & op(e1, e1) = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | ALPHA: (48) implies:
% 196.61/33.64  | | | | |   (49)  op(e1, e1) = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | REF_CLOSE: (1), (7), (21), (49) are inconsistent by sub-proof #1959.
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | Case 2:
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | |   (50)  all_56_11 = e0 & op(e1, e0) = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | ALPHA: (50) implies:
% 196.61/33.64  | | | | |   (51)  all_56_11 = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | COMBINE_EQS: (10), (51) imply:
% 196.61/33.64  | | | | |   (52)  e2 = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | SIMP: (52) implies:
% 196.61/33.64  | | | | |   (53)  e2 = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | COMBINE_EQS: (27), (53) imply:
% 196.61/33.64  | | | | |   (54)  all_56_2 = e0
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | | REF_CLOSE: (6), (7), (8), (16), (17), (18), (20), (21), (24), (25),
% 196.61/33.64  | | | | |            (26), (30), (31), (32), (33), (38), (54) are inconsistent
% 196.61/33.64  | | | | |            by sub-proof #1701.
% 196.61/33.64  | | | | | 
% 196.61/33.64  | | | | End of split
% 196.61/33.64  | | | | 
% 196.61/33.64  | | | End of split
% 196.61/33.64  | | | 
% 196.61/33.64  | | Case 2:
% 196.61/33.64  | | | 
% 196.61/33.64  | | |   (55)  all_56_10 = e3 & op(e2, e0) = e3
% 196.61/33.64  | | | 
% 196.61/33.64  | | | REF_CLOSE: (2), (7), (13), (55) are inconsistent by sub-proof #1456.
% 196.61/33.64  | | | 
% 196.61/33.64  | | End of split
% 196.61/33.64  | | 
% 196.61/33.64  | End of split
% 196.61/33.64  | 
% 196.61/33.64  End of proof
% 196.61/33.64  
% 196.61/33.64  Sub-proof #1057 shows that the following formulas are inconsistent:
% 196.61/33.64  ----------------------------------------------------------------
% 196.61/33.64    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.64         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.61/33.64    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.64         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.61/33.64    (3)   ~ (e3 = e2)
% 196.61/33.64    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.64    (5)  op(e3, e2) = all_52_4
% 196.61/33.64    (6)  op(e2, e2) = all_4_2
% 196.61/33.64    (7)  op(e3, e3) = e1
% 196.61/33.64    (8)  all_56_15 = e3
% 196.61/33.64    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.64         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.61/33.64    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.61/33.64          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.61/33.64    (11)   ~ (all_52_12 = e3)
% 196.61/33.64    (12)  all_56_15 = e0 & op(e0, e0) = e0
% 196.61/33.64    (13)   ~ (all_4_2 = e3)
% 196.61/33.64    (14)   ~ (e1 = e0)
% 196.61/33.64    (15)   ~ (all_52_4 = e1)
% 196.61/33.64    (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 196.61/33.64          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 196.61/33.64    (17)   ~ (e2 = e1)
% 196.61/33.64    (18)  op(e3, e0) = all_52_12
% 196.61/33.64    (19)  all_56_1 = e3
% 196.61/33.64    (20)  op(e2, e2) = e0
% 196.61/33.64    (21)   ~ (e3 = e1)
% 196.61/33.64    (22)   ~ (e2 = e0)
% 196.61/33.64    (23)   ~ (e3 = e0)
% 196.61/33.64    (24)  all_56_13 = e1
% 196.61/33.64  
% 196.61/33.64  Begin of proof
% 196.61/33.64  | 
% 196.61/33.64  | ALPHA: (12) implies:
% 196.61/33.64  |   (25)  all_56_15 = e0
% 196.61/33.64  | 
% 196.61/33.64  | COMBINE_EQS: (8), (25) imply:
% 196.61/33.64  |   (26)  e3 = e0
% 196.61/33.64  | 
% 196.61/33.64  | SIMP: (26) implies:
% 196.61/33.64  |   (27)  e3 = e0
% 196.61/33.64  | 
% 196.61/33.64  | COMBINE_EQS: (19), (27) imply:
% 196.61/33.64  |   (28)  all_56_1 = e0
% 196.61/33.64  | 
% 196.61/33.64  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (13), (14),
% 196.61/33.64  |            (15), (16), (17), (18), (20), (21), (22), (23), (24), (28) are
% 196.61/33.64  |            inconsistent by sub-proof #1072.
% 196.61/33.64  | 
% 196.61/33.64  End of proof
% 196.61/33.64  
% 196.61/33.64  Sub-proof #1058 shows that the following formulas are inconsistent:
% 196.61/33.64  ----------------------------------------------------------------
% 196.61/33.64    (1)   ~ (all_52_13 = e3)
% 196.61/33.64    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.61/33.64         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.61/33.64    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.64         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.61/33.64    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.61/33.64         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.61/33.64    (5)   ~ (e3 = e2)
% 196.61/33.64    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.64    (7)  op(e2, e2) = all_4_2
% 196.61/33.64    (8)  op(e3, e3) = e1
% 196.61/33.64    (9)  op(e2, e0) = all_52_13
% 196.61/33.64    (10)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.61/33.64            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.61/33.64              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.61/33.64    (11)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.64          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.61/33.64    (12)   ~ (all_4_2 = e3)
% 196.61/33.64    (13)  op(e3, e2) = e3
% 196.61/33.64    (14)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.64          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.61/33.64    (15)   ~ (e1 = e0)
% 196.61/33.64    (16)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.61/33.64    (17)  all_56_6 = e3
% 196.61/33.64    (18)  all_36_2 = e0
% 196.61/33.64    (19)   ~ (e2 = e1)
% 196.61/33.64    (20)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.64          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.61/33.64    (21)  all_56_7 = e2
% 196.61/33.64    (22)  all_56_12 = e0
% 196.61/33.64    (23)  op(e2, e2) = e0
% 196.61/33.64    (24)   ~ (e3 = e1)
% 196.61/33.64    (25)   ~ (e2 = e0)
% 196.61/33.64    (26)   ~ (e3 = e0)
% 196.61/33.64    (27)  all_56_13 = e1
% 196.61/33.64  
% 196.61/33.64  Begin of proof
% 196.61/33.64  | 
% 196.61/33.64  | BETA: splitting (16) gives:
% 196.61/33.64  | 
% 196.61/33.64  | Case 1:
% 196.61/33.64  | | 
% 196.61/33.64  | |   (28)  all_56_6 = e2 & op(e1, e3) = e2
% 196.61/33.64  | | 
% 196.61/33.64  | | REF_CLOSE: (5), (17), (28) are inconsistent by sub-proof #1853.
% 196.61/33.64  | | 
% 196.61/33.64  | Case 2:
% 196.61/33.64  | | 
% 196.61/33.64  | |   (29)  all_56_12 = e2 & op(e0, e3) = e2
% 196.61/33.64  | | 
% 196.61/33.64  | | ALPHA: (29) implies:
% 196.61/33.64  | |   (30)  all_56_12 = e2
% 196.61/33.64  | | 
% 196.61/33.64  | | COMBINE_EQS: (22), (30) imply:
% 196.61/33.64  | |   (31)  e2 = e0
% 196.61/33.64  | | 
% 196.61/33.64  | | COMBINE_EQS: (21), (31) imply:
% 196.61/33.64  | |   (32)  all_56_7 = e0
% 196.61/33.64  | | 
% 196.61/33.64  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.61/33.64  | |            (13), (14), (15), (17), (18), (19), (20), (22), (23), (24), (25),
% 196.61/33.64  | |            (26), (27), (32) are inconsistent by sub-proof #1059.
% 196.61/33.64  | | 
% 196.61/33.64  | End of split
% 196.61/33.64  | 
% 196.61/33.64  End of proof
% 196.61/33.64  
% 196.61/33.64  Sub-proof #1059 shows that the following formulas are inconsistent:
% 196.61/33.64  ----------------------------------------------------------------
% 196.61/33.64    (1)   ~ (all_52_13 = e3)
% 196.61/33.64    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.61/33.64         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.61/33.64    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.64         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.61/33.64    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.61/33.64         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.61/33.64    (5)   ~ (e3 = e2)
% 196.61/33.64    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.64    (7)  op(e2, e2) = all_4_2
% 196.61/33.64    (8)  op(e3, e3) = e1
% 196.61/33.64    (9)  all_56_7 = e0
% 196.61/33.64    (10)  op(e2, e0) = all_52_13
% 196.61/33.64    (11)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.61/33.64            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.61/33.64              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.61/33.65    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.61/33.65          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.61/33.65    (13)   ~ (all_4_2 = e3)
% 196.61/33.65    (14)  op(e3, e2) = e3
% 196.61/33.65    (15)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.61/33.65          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.61/33.65    (16)   ~ (e1 = e0)
% 196.61/33.65    (17)  all_56_6 = e3
% 196.61/33.65    (18)  all_36_2 = e0
% 196.61/33.65    (19)   ~ (e2 = e1)
% 196.61/33.65    (20)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.61/33.65          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.61/33.65    (21)  all_56_12 = e0
% 196.61/33.65    (22)  op(e2, e2) = e0
% 196.61/33.65    (23)   ~ (e3 = e1)
% 196.61/33.65    (24)   ~ (e2 = e0)
% 196.61/33.65    (25)   ~ (e3 = e0)
% 196.61/33.65    (26)  all_56_13 = e1
% 196.61/33.65  
% 196.61/33.65  Begin of proof
% 196.61/33.65  | 
% 196.61/33.65  | BETA: splitting (2) gives:
% 196.61/33.65  | 
% 196.61/33.65  | Case 1:
% 196.61/33.65  | | 
% 196.61/33.65  | |   (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 196.61/33.65  | |           e2)
% 196.61/33.65  | | 
% 196.61/33.65  | | BETA: splitting (27) gives:
% 196.61/33.65  | | 
% 196.61/33.65  | | Case 1:
% 196.61/33.65  | | | 
% 196.61/33.65  | | |   (28)  all_56_0 = e2 & op(e3, e3) = e2
% 196.61/33.65  | | | 
% 196.61/33.65  | | | ALPHA: (28) implies:
% 196.61/33.65  | | |   (29)  op(e3, e3) = e2
% 196.61/33.65  | | | 
% 196.61/33.65  | | | REF_CLOSE: (6), (8), (19), (29) are inconsistent by sub-proof #1934.
% 196.61/33.65  | | | 
% 196.61/33.65  | | Case 2:
% 196.61/33.65  | | | 
% 196.61/33.65  | | |   (30)  all_56_2 = e2 & op(e2, e3) = e2
% 196.61/33.65  | | | 
% 196.61/33.65  | | | ALPHA: (30) implies:
% 196.61/33.65  | | |   (31)  all_56_2 = e2
% 196.61/33.65  | | | 
% 196.61/33.65  | | | BETA: splitting (3) gives:
% 196.61/33.65  | | | 
% 196.61/33.65  | | | Case 1:
% 196.61/33.65  | | | | 
% 196.61/33.65  | | | |   (32)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2)
% 196.61/33.65  | | | |           = e2)
% 196.61/33.65  | | | | 
% 196.61/33.65  | | | | REF_CLOSE: (5), (6), (14), (22), (24), (32) are inconsistent by
% 196.61/33.65  | | | |            sub-proof #1926.
% 196.61/33.65  | | | | 
% 196.61/33.65  | | | Case 2:
% 196.61/33.65  | | | | 
% 196.61/33.65  | | | |   (33)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2)
% 196.61/33.65  | | | |           = e2)
% 196.61/33.65  | | | | 
% 196.61/33.65  | | | | BETA: splitting (33) gives:
% 196.61/33.65  | | | | 
% 196.61/33.65  | | | | Case 1:
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | |   (34)  all_56_7 = e2 & op(e1, e2) = e2
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | | ALPHA: (34) implies:
% 196.61/33.65  | | | | |   (35)  all_56_7 = e2
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | | COMBINE_EQS: (9), (35) imply:
% 196.61/33.65  | | | | |   (36)  e2 = e0
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | | SIMP: (36) implies:
% 196.61/33.65  | | | | |   (37)  e2 = e0
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | | COMBINE_EQS: (31), (37) imply:
% 196.61/33.65  | | | | |   (38)  all_56_2 = e0
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | | REF_CLOSE: (1), (5), (6), (7), (10), (11), (12), (13), (15), (16),
% 196.61/33.65  | | | | |            (18), (19), (20), (22), (23), (24), (25), (38) are
% 196.61/33.65  | | | | |            inconsistent by sub-proof #1213.
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | Case 2:
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | |   (39)  all_56_13 = e2 & op(e0, e2) = e2
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | | ALPHA: (39) implies:
% 196.61/33.65  | | | | |   (40)  all_56_13 = e2
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | | COMBINE_EQS: (26), (40) imply:
% 196.61/33.65  | | | | |   (41)  e2 = e1
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | | SIMP: (41) implies:
% 196.61/33.65  | | | | |   (42)  e2 = e1
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | | COMBINE_EQS: (31), (42) imply:
% 196.61/33.65  | | | | |   (43)  all_56_2 = e1
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (16), (17), (19), (24), (25), (43)
% 196.61/33.65  | | | | |            are inconsistent by sub-proof #1850.
% 196.61/33.65  | | | | | 
% 196.61/33.65  | | | | End of split
% 196.61/33.65  | | | | 
% 196.61/33.65  | | | End of split
% 196.61/33.65  | | | 
% 196.61/33.65  | | End of split
% 196.61/33.65  | | 
% 196.61/33.65  | Case 2:
% 196.61/33.65  | | 
% 196.61/33.65  | |   (44)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 196.61/33.65  | |           e2)
% 196.61/33.65  | | 
% 196.61/33.65  | | BETA: splitting (44) gives:
% 196.61/33.65  | | 
% 196.61/33.65  | | Case 1:
% 196.61/33.65  | | | 
% 196.61/33.65  | | |   (45)  all_56_6 = e2 & op(e1, e3) = e2
% 196.61/33.65  | | | 
% 196.61/33.65  | | | REF_CLOSE: (5), (17), (45) are inconsistent by sub-proof #1853.
% 196.61/33.65  | | | 
% 196.61/33.65  | | Case 2:
% 196.61/33.65  | | | 
% 196.61/33.65  | | |   (46)  all_56_12 = e2 & op(e0, e3) = e2
% 196.61/33.65  | | | 
% 196.61/33.65  | | | REF_CLOSE: (21), (24), (46) are inconsistent by sub-proof #1060.
% 196.61/33.65  | | | 
% 196.61/33.65  | | End of split
% 196.61/33.65  | | 
% 196.61/33.65  | End of split
% 196.61/33.65  | 
% 196.61/33.65  End of proof
% 196.61/33.65  
% 196.61/33.65  Sub-proof #1060 shows that the following formulas are inconsistent:
% 196.61/33.65  ----------------------------------------------------------------
% 196.61/33.65    (1)  all_56_12 = e2 & op(e0, e3) = e2
% 196.61/33.65    (2)  all_56_12 = e0
% 196.61/33.65    (3)   ~ (e2 = e0)
% 196.61/33.65  
% 196.61/33.65  Begin of proof
% 196.61/33.65  | 
% 196.61/33.65  | ALPHA: (1) implies:
% 196.61/33.65  |   (4)  all_56_12 = e2
% 196.61/33.65  | 
% 196.61/33.65  | COMBINE_EQS: (2), (4) imply:
% 196.61/33.65  |   (5)  e2 = e0
% 196.61/33.65  | 
% 196.61/33.65  | REDUCE: (3), (5) imply:
% 196.61/33.65  |   (6)  $false
% 196.61/33.65  | 
% 196.61/33.65  | CLOSE: (6) is inconsistent.
% 196.61/33.65  | 
% 196.61/33.65  End of proof
% 196.61/33.65  
% 196.61/33.65  Sub-proof #1061 shows that the following formulas are inconsistent:
% 196.61/33.65  ----------------------------------------------------------------
% 196.61/33.65    (1)  all_54_3 = e1 | all_54_3 = e0
% 196.61/33.65    (2)  all_54_3 = all_52_12
% 196.61/33.65    (3)   ~ (all_52_12 = e1)
% 196.61/33.65    (4)   ~ (all_52_12 = e0)
% 196.61/33.65  
% 196.61/33.65  Begin of proof
% 196.61/33.65  | 
% 196.61/33.65  | BETA: splitting (1) gives:
% 196.61/33.65  | 
% 196.61/33.65  | Case 1:
% 196.61/33.65  | | 
% 196.61/33.65  | |   (5)  all_54_3 = e1
% 196.61/33.65  | | 
% 196.61/33.65  | | COMBINE_EQS: (2), (5) imply:
% 196.61/33.65  | |   (6)  all_52_12 = e1
% 196.61/33.65  | | 
% 196.61/33.65  | | REDUCE: (3), (6) imply:
% 196.61/33.65  | |   (7)  $false
% 196.61/33.65  | | 
% 196.61/33.65  | | CLOSE: (7) is inconsistent.
% 196.61/33.65  | | 
% 196.61/33.65  | Case 2:
% 196.61/33.65  | | 
% 196.61/33.65  | |   (8)  all_54_3 = e0
% 196.61/33.65  | | 
% 196.61/33.65  | | COMBINE_EQS: (2), (8) imply:
% 196.61/33.65  | |   (9)  all_52_12 = e0
% 196.61/33.65  | | 
% 196.61/33.65  | | REDUCE: (4), (9) imply:
% 196.61/33.65  | |   (10)  $false
% 196.61/33.65  | | 
% 196.61/33.65  | | CLOSE: (10) is inconsistent.
% 196.61/33.65  | | 
% 196.61/33.65  | End of split
% 196.61/33.65  | 
% 196.61/33.65  End of proof
% 196.61/33.65  
% 196.61/33.65  Sub-proof #1062 shows that the following formulas are inconsistent:
% 196.61/33.65  ----------------------------------------------------------------
% 196.61/33.65    (1)  op(e1, e1) = e1
% 196.61/33.65    (2)  op(e1, e3) = all_52_2
% 196.61/33.65    (3)   ~ (all_52_3 = e1)
% 196.61/33.65    (4)  op(e1, e2) = all_52_6
% 196.61/33.65    (5)   ~ (all_52_11 = e1)
% 196.61/33.65    (6)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.61/33.65         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.65    (7)  all_54_2 = all_52_8
% 196.61/33.65    (8)   ~ (e3 = e2)
% 196.61/33.65    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.65    (10)  op(e2, e2) = all_4_2
% 196.61/33.65    (11)  op(e3, e3) = e1
% 196.61/33.65    (12)  all_56_5 = e3
% 196.61/33.65    (13)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.65          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.65    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.65          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.65    (15)  op(e2, e0) = e2
% 196.61/33.65    (16)  all_54_12 = all_52_3
% 196.61/33.65    (17)   ~ (all_52_8 = e3)
% 196.61/33.65    (18)  op(e0, e3) = all_52_3
% 196.61/33.65    (19)  op(e2, e0) = all_52_13
% 196.61/33.65    (20)  op(e1, e0) = all_52_14
% 196.61/33.65    (21)  all_54_12 = e1 | all_54_12 = e0
% 196.61/33.65    (22)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.61/33.65              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.61/33.65            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.61/33.65            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.61/33.65            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.65            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.65            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.61/33.65            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.65            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.61/33.65            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.61/33.65            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.65            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.65            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.65            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.65            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.65            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.65            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.65            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.65            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.65            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.65            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.65            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.65            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.65            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.65            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.65            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.65            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.65            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.65            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.65            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.65            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.65            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.65            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.65            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.65            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.65            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.65            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.65            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.65            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.65            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.65            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.65            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.65            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.65            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.65            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.65            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.65            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.65            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.65              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.61/33.65            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.65            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.65              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.61/33.65            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.65            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.61/33.65                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.65                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.65                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.65                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.65                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.61/33.65                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.65                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.65              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.65                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.65                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.65                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.65                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.65                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.65                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.65                $i(all_57_7))))
% 196.61/33.65    (23)   ~ (all_52_8 = e1)
% 196.61/33.65    (24)  op(e0, e1) = all_52_11
% 196.61/33.65    (25)   ~ (all_52_12 = e3)
% 196.61/33.65    (26)   ~ (all_52_14 = e1)
% 196.61/33.65    (27)   ~ (all_4_2 = e3)
% 196.61/33.65    (28)  op(e3, e2) = e3
% 196.61/33.65    (29)   ~ (all_52_8 = e2)
% 196.61/33.65    (30)   ~ (all_52_8 = all_52_11)
% 196.61/33.65    (31)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.65          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.65    (32)   ~ (e2 = e1)
% 196.61/33.65    (33)   ~ (all_52_2 = e1)
% 196.61/33.65    (34)  all_54_2 = e1 | all_54_2 = e0
% 196.61/33.65    (35)  op(e3, e0) = all_52_12
% 196.61/33.65    (36)  op(e2, e1) = all_52_9
% 196.61/33.65    (37)  all_56_4 = e0
% 196.61/33.65    (38)  op(e0, e0) = e3
% 196.61/33.65    (39)  op(e2, e2) = e0
% 196.61/33.65    (40)   ~ (all_52_9 = all_52_13)
% 196.61/33.65    (41)   ~ (e3 = e1)
% 196.61/33.65    (42)   ~ (all_52_6 = e1)
% 196.61/33.65  
% 196.61/33.65  Begin of proof
% 196.61/33.65  | 
% 196.61/33.65  | BETA: splitting (34) gives:
% 196.61/33.65  | 
% 196.61/33.65  | Case 1:
% 196.61/33.65  | | 
% 196.61/33.65  | |   (43)  all_54_2 = e1
% 196.61/33.65  | | 
% 196.61/33.65  | | COMBINE_EQS: (7), (43) imply:
% 196.61/33.65  | |   (44)  all_52_8 = e1
% 196.61/33.65  | | 
% 196.61/33.65  | | REDUCE: (23), (44) imply:
% 196.61/33.65  | |   (45)  $false
% 196.61/33.65  | | 
% 196.61/33.65  | | CLOSE: (45) is inconsistent.
% 196.61/33.65  | | 
% 196.61/33.65  | Case 2:
% 196.61/33.65  | | 
% 196.61/33.65  | |   (46)  all_54_2 = e0
% 196.61/33.65  | | 
% 196.61/33.65  | | COMBINE_EQS: (7), (46) imply:
% 196.61/33.65  | |   (47)  all_52_8 = e0
% 196.61/33.65  | | 
% 196.61/33.65  | | REDUCE: (30), (47) imply:
% 196.61/33.65  | |   (48)   ~ (all_52_11 = e0)
% 196.61/33.65  | | 
% 196.61/33.65  | | SIMP: (48) implies:
% 196.61/33.65  | |   (49)   ~ (all_52_11 = e0)
% 196.61/33.65  | | 
% 196.61/33.65  | | REDUCE: (17), (47) imply:
% 196.61/33.65  | |   (50)   ~ (e3 = e0)
% 196.61/33.65  | | 
% 196.61/33.65  | | SIMP: (50) implies:
% 196.61/33.65  | |   (51)   ~ (e3 = e0)
% 196.61/33.65  | | 
% 196.61/33.65  | | REDUCE: (29), (47) imply:
% 196.61/33.65  | |   (52)   ~ (e2 = e0)
% 196.61/33.65  | | 
% 196.61/33.65  | | SIMP: (52) implies:
% 196.61/33.65  | |   (53)   ~ (e2 = e0)
% 196.61/33.65  | | 
% 196.61/33.65  | | REDUCE: (23), (47) imply:
% 196.61/33.65  | |   (54)   ~ (e1 = e0)
% 196.61/33.65  | | 
% 196.61/33.65  | | SIMP: (54) implies:
% 196.61/33.65  | |   (55)   ~ (e1 = e0)
% 196.61/33.65  | | 
% 196.61/33.65  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 196.61/33.65  | |            (14), (15), (16), (18), (19), (20), (21), (22), (24), (25), (26),
% 196.61/33.65  | |            (27), (28), (31), (32), (33), (35), (36), (37), (38), (39), (40),
% 196.61/33.65  | |            (41), (42), (49), (51), (53), (55) are inconsistent by sub-proof
% 196.61/33.65  | |            #1064.
% 196.61/33.65  | | 
% 196.61/33.65  | End of split
% 196.61/33.65  | 
% 196.61/33.65  End of proof
% 196.61/33.65  
% 196.61/33.65  Sub-proof #1063 shows that the following formulas are inconsistent:
% 196.61/33.65  ----------------------------------------------------------------
% 196.61/33.65    (1)  op(e1, e1) = e1
% 196.61/33.65    (2)  op(e1, e3) = all_52_2
% 196.61/33.65    (3)   ~ (all_52_3 = e1)
% 196.61/33.65    (4)  op(e1, e2) = all_52_6
% 196.61/33.65    (5)   ~ (all_52_11 = e1)
% 196.61/33.65    (6)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.61/33.65         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.65    (7)   ~ (e3 = e2)
% 196.61/33.65    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.65    (9)  op(e2, e2) = all_4_2
% 196.61/33.65    (10)  op(e3, e3) = e1
% 196.61/33.65    (11)  all_56_5 = e3
% 196.61/33.65    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.65          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.65    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.65          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.65    (14)  all_54_12 = all_52_3
% 196.61/33.65    (15)  op(e0, e3) = all_52_3
% 196.61/33.65    (16)  op(e2, e0) = all_52_13
% 196.61/33.65    (17)  op(e1, e0) = all_52_14
% 196.61/33.65    (18)  all_54_12 = e1 | all_54_12 = e0
% 196.61/33.65    (19)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.61/33.65              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.61/33.65            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.61/33.65            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.61/33.65            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.65            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.65            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.61/33.65            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.65            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.61/33.65            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.61/33.65            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.65            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.65            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.65            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.65            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.65            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.65            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.65            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.65            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.65            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.65            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.65            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.65            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.65            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.65            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.65            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.65            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.65            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.65            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.65            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.65            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.65            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.65            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.65            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.65            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.65            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.65            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.65            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.65            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.65            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.65            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.65            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.65            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.65            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.65            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.65            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.65            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.65            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.65              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.61/33.65            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.65            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.65              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.61/33.65            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.65            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.61/33.65                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.65                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.65                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.65                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.65                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.61/33.65                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.65                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.65              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.65                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.65                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.65                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.65                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.65                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.65                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.65                $i(all_57_7))))
% 196.61/33.65    (20)  op(e0, e1) = all_52_11
% 196.61/33.65    (21)   ~ (all_52_12 = e3)
% 196.61/33.65    (22)   ~ (all_52_14 = e1)
% 196.61/33.65    (23)   ~ (all_4_2 = e3)
% 196.61/33.65    (24)  op(e3, e2) = e3
% 196.61/33.65    (25)   ~ (e1 = e0)
% 196.61/33.65    (26)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.65          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.65    (27)   ~ (e2 = e1)
% 196.61/33.65    (28)   ~ (all_52_11 = e0)
% 196.61/33.65    (29)   ~ (all_52_2 = e1)
% 196.61/33.65    (30)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 196.61/33.65              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 196.61/33.65            all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.61/33.65          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 196.61/33.65              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 196.61/33.65            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 196.61/33.65          (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 =
% 196.61/33.65              e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.61/33.65            op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 =
% 196.61/33.65            e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.61/33.65            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 196.61/33.65            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.61/33.65            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 196.61/33.65                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.61/33.65                op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.61/33.65                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.61/33.65                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.65                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.61/33.65                  e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.65                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.61/33.65                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 196.61/33.65                  e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.65                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.61/33.65                  e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.61/33.65                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.61/33.65                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.61/33.65                  e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.65                $i(all_57_7))))
% 196.61/33.65    (31)  op(e3, e0) = all_52_12
% 196.61/33.65    (32)  op(e2, e1) = all_52_9
% 196.61/33.65    (33)  all_56_4 = e0
% 196.61/33.65    (34)  op(e0, e0) = e3
% 196.61/33.65    (35)  op(e2, e2) = e0
% 196.61/33.65    (36)   ~ (all_52_9 = all_52_13)
% 196.61/33.65    (37)   ~ (e3 = e1)
% 196.61/33.65    (38)   ~ (all_52_6 = e1)
% 196.61/33.65    (39)   ~ (e2 = e0)
% 196.61/33.65    (40)   ~ (e3 = e0)
% 196.61/33.65  
% 196.61/33.65  Begin of proof
% 196.61/33.65  | 
% 196.61/33.65  | BETA: splitting (30) gives:
% 196.61/33.65  | 
% 196.61/33.65  | Case 1:
% 196.61/33.65  | | 
% 196.61/33.65  | |   (41)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.61/33.65  | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.65  | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.65  | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.61/33.65  | |             e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.61/33.65  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 196.61/33.65  | |           & $i(all_57_14))
% 196.61/33.65  | | 
% 196.61/33.65  | | REF_CLOSE: (8), (10), (25), (41) are inconsistent by sub-proof #1936.
% 196.61/33.65  | | 
% 196.61/33.65  | Case 2:
% 196.61/33.65  | | 
% 196.61/33.65  | |   (42)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.61/33.65  | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.65  | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.65  | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11
% 196.61/33.65  | |             = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 196.61/33.65  | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.61/33.65  | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.61/33.65  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.61/33.65  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.61/33.65  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.61/33.65  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.61/33.65  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.65  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.61/33.65  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.65  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.61/33.65  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.61/33.65  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.61/33.65  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.61/33.65  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.61/33.65  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.61/33.65  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.65  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.65  | |               $i(all_57_7))))
% 196.61/33.65  | | 
% 196.61/33.65  | | BETA: splitting (42) gives:
% 196.61/33.65  | | 
% 196.61/33.65  | | Case 1:
% 196.61/33.65  | | | 
% 196.61/33.65  | | |   (43)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.61/33.65  | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.61/33.65  | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.65  | | |         $i(all_57_13)
% 196.61/33.65  | | | 
% 196.61/33.65  | | | ALPHA: (43) implies:
% 196.61/33.65  | | |   (44)  op(e2, e0) = e2
% 196.61/33.65  | | | 
% 196.61/33.65  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.61/33.65  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 196.61/33.65  | | |            (23), (24), (25), (26), (27), (28), (29), (31), (32), (33),
% 196.61/33.65  | | |            (34), (35), (36), (37), (38), (39), (40), (44) are inconsistent
% 196.61/33.65  | | |            by sub-proof #1064.
% 196.61/33.65  | | | 
% 196.61/33.65  | | Case 2:
% 196.61/33.65  | | | 
% 196.61/33.66  | | |   (45)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.61/33.66  | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.61/33.66  | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.66  | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.61/33.66  | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.61/33.66  | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.61/33.66  | | |               op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.61/33.66  | | |               = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3)
% 196.61/33.66  | | |               = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.61/33.66  | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.61/33.66  | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.61/33.66  | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.66  | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.61/33.66  | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.66  | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.61/33.66  | | |               = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 196.61/33.66  | | |               = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.61/33.66  | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.61/33.66  | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.61/33.66  | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.61/33.66  | | | 
% 196.61/33.66  | | | REF_CLOSE: (1), (5), (6), (7), (8), (9), (11), (12), (13), (17), (20),
% 196.61/33.66  | | |            (22), (23), (24), (25), (27), (28), (35), (37), (39), (40),
% 196.61/33.66  | | |            (45) are inconsistent by sub-proof #1065.
% 196.61/33.66  | | | 
% 196.61/33.66  | | End of split
% 196.61/33.66  | | 
% 196.61/33.66  | End of split
% 196.61/33.66  | 
% 196.61/33.66  End of proof
% 196.61/33.66  
% 196.61/33.66  Sub-proof #1064 shows that the following formulas are inconsistent:
% 196.61/33.66  ----------------------------------------------------------------
% 196.61/33.66    (1)  op(e1, e1) = e1
% 196.61/33.66    (2)  op(e1, e3) = all_52_2
% 196.61/33.66    (3)   ~ (all_52_3 = e1)
% 196.61/33.66    (4)  op(e1, e2) = all_52_6
% 196.61/33.66    (5)   ~ (all_52_11 = e1)
% 196.61/33.66    (6)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.61/33.66         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.61/33.66    (7)   ~ (e3 = e2)
% 196.61/33.66    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.61/33.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.61/33.66    (9)  op(e2, e2) = all_4_2
% 196.61/33.66    (10)  op(e3, e3) = e1
% 196.61/33.66    (11)  all_56_5 = e3
% 196.61/33.66    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.61/33.66          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.61/33.66    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.61/33.66          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.61/33.66    (14)  op(e2, e0) = e2
% 196.61/33.66    (15)  all_54_12 = all_52_3
% 196.61/33.66    (16)  op(e0, e3) = all_52_3
% 196.61/33.66    (17)  op(e2, e0) = all_52_13
% 196.61/33.66    (18)  op(e1, e0) = all_52_14
% 196.61/33.66    (19)  all_54_12 = e1 | all_54_12 = e0
% 196.61/33.66    (20)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.61/33.66              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.61/33.66            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.61/33.66            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.61/33.66            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.61/33.66            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.61/33.66            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.61/33.66            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.61/33.66            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.61/33.66            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.61/33.66            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.61/33.66            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.61/33.66            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.66            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.61/33.66            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.61/33.66            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.61/33.66            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.61/33.66            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.61/33.66            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.61/33.66            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.61/33.66            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.61/33.66            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.61/33.66            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.61/33.66            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.61/33.66            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.66            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.61/33.66            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.66            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.61/33.66            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.66            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.61/33.66            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.61/33.66            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.61/33.66            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.61/33.66            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.61/33.66            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.61/33.66            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.66            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.66            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.61/33.66            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.61/33.66            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.61/33.66            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.61/33.66            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.61/33.66            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.66            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.61/33.66            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.61/33.66            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.61/33.66            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.61/33.66            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.61/33.66              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.61/33.66            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.61/33.66            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.61/33.66              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.61/33.66            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.61/33.66            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.61/33.66                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.61/33.66                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.61/33.66                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.61/33.66                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.61/33.66                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.61/33.66                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.61/33.66                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.61/33.66              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.61/33.66                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.61/33.66                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.61/33.66                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.61/33.66                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.61/33.66                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.61/33.66                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.61/33.66                $i(all_57_7))))
% 196.61/33.66    (21)  op(e0, e1) = all_52_11
% 196.61/33.66    (22)   ~ (all_52_12 = e3)
% 196.61/33.66    (23)   ~ (all_52_14 = e1)
% 196.61/33.66    (24)   ~ (all_4_2 = e3)
% 196.61/33.66    (25)  op(e3, e2) = e3
% 196.61/33.66    (26)   ~ (e1 = e0)
% 196.61/33.66    (27)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.61/33.66          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.61/33.66    (28)   ~ (e2 = e1)
% 196.61/33.66    (29)   ~ (all_52_11 = e0)
% 196.61/33.66    (30)   ~ (all_52_2 = e1)
% 196.61/33.66    (31)  op(e3, e0) = all_52_12
% 196.61/33.66    (32)  op(e2, e1) = all_52_9
% 196.61/33.66    (33)  all_56_4 = e0
% 196.61/33.66    (34)  op(e0, e0) = e3
% 196.69/33.66    (35)  op(e2, e2) = e0
% 196.69/33.66    (36)   ~ (all_52_9 = all_52_13)
% 196.69/33.66    (37)   ~ (e3 = e1)
% 196.69/33.66    (38)   ~ (all_52_6 = e1)
% 196.69/33.66    (39)   ~ (e2 = e0)
% 196.69/33.66    (40)   ~ (e3 = e0)
% 196.69/33.66  
% 196.69/33.66  Begin of proof
% 196.69/33.66  | 
% 196.69/33.66  | BETA: splitting (20) gives:
% 196.69/33.66  | 
% 196.69/33.66  | Case 1:
% 196.69/33.66  | | 
% 196.69/33.66  | |   (41)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 196.69/33.66  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.69/33.66  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.69/33.66  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.69/33.66  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.69/33.66  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 196.69/33.66  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 196.69/33.66  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 196.69/33.66  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.69/33.66  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 196.69/33.66  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.69/33.66  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 196.69/33.66  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 196.69/33.66  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.69/33.66  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.69/33.66  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 196.69/33.66  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.69/33.66  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.69/33.66  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 196.69/33.66  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 196.69/33.66  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.69/33.66  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.69/33.66  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.69/33.66  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.69/33.66  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.69/33.66  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.69/33.66  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.69/33.66  | | 
% 196.69/33.66  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 196.69/33.66  | |            (15), (16), (19), (21), (24), (26), (28), (30), (34), (35), (37),
% 196.69/33.66  | |            (38), (39), (40), (41) are inconsistent by sub-proof #1067.
% 196.69/33.66  | | 
% 196.69/33.66  | Case 2:
% 196.69/33.66  | | 
% 196.69/33.66  | |   (42)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 196.69/33.66  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.69/33.66  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 196.69/33.66  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 196.69/33.66  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.69/33.66  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 196.69/33.66  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 196.69/33.66  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.69/33.66  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.69/33.66  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.69/33.66  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.69/33.66  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.69/33.66  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 196.69/33.66  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 196.69/33.66  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.69/33.66  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.69/33.66  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.69/33.66  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 196.69/33.66  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.69/33.66  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.69/33.66  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 196.69/33.66  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 196.69/33.66  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 196.69/33.66  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.69/33.66  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 196.69/33.66  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.69/33.66  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 196.69/33.66  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.69/33.66  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.69/33.66  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.69/33.66  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.69/33.66  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.69/33.66  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.69/33.66  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.69/33.66  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.69/33.66  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.69/33.66  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.69/33.66  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.69/33.66  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.69/33.66  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.69/33.66  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.69/33.66  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.69/33.66  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.69/33.66  | |               $i(all_57_7))))
% 196.69/33.66  | | 
% 196.69/33.66  | | BETA: splitting (42) gives:
% 196.69/33.66  | | 
% 196.69/33.66  | | Case 1:
% 196.69/33.66  | | | 
% 196.69/33.66  | | |   (43)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.69/33.66  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.69/33.66  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.69/33.66  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 196.69/33.66  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.69/33.66  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.69/33.66  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 196.69/33.66  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.69/33.66  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 196.69/33.66  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 196.69/33.66  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.69/33.66  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.69/33.66  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 196.69/33.66  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.69/33.66  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.69/33.66  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.69/33.66  | | |           $i(all_57_13))
% 196.69/33.66  | | | 
% 196.69/33.66  | | | BETA: splitting (43) gives:
% 196.69/33.66  | | | 
% 196.69/33.66  | | | Case 1:
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | |   (44)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.69/33.66  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.69/33.66  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.69/33.66  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 196.69/33.66  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 196.69/33.66  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 196.69/33.66  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | | BETA: splitting (44) gives:
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | | Case 1:
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | |   (45)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.69/33.66  | | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.69/33.66  | | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.69/33.66  | | | | |         $i(all_57_10)
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | | ALPHA: (45) implies:
% 196.69/33.66  | | | | |   (46)  op(e0, e0) = e1
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | | REF_CLOSE: (8), (34), (37), (46) are inconsistent by sub-proof #1392.
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | Case 2:
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | |   (47)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.69/33.66  | | | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.69/33.66  | | | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.69/33.66  | | | | |         $i(all_57_12)
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | | ALPHA: (47) implies:
% 196.69/33.66  | | | | |   (48)  op(e2, e1) = e2
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | | REF_CLOSE: (8), (14), (17), (32), (36), (48) are inconsistent by
% 196.69/33.66  | | | | |            sub-proof #1887.
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | End of split
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | Case 2:
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | |   (49)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.69/33.66  | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.69/33.66  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.69/33.66  | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 196.69/33.66  | | | |           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.69/33.66  | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 196.69/33.66  | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.69/33.66  | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.69/33.66  | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 196.69/33.66  | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | | REF_CLOSE: (8), (22), (31), (34), (37), (49) are inconsistent by
% 196.69/33.66  | | | |            sub-proof #1189.
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | End of split
% 196.69/33.66  | | | 
% 196.69/33.66  | | Case 2:
% 196.69/33.66  | | | 
% 196.69/33.66  | | |   (50)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.69/33.66  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.69/33.66  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.69/33.66  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.69/33.66  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.69/33.66  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.69/33.66  | | |           $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0
% 196.69/33.66  | | |           &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.69/33.66  | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 196.69/33.66  | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 196.69/33.66  | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.69/33.66  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 196.69/33.66  | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.69/33.66  | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.69/33.66  | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.69/33.66  | | |               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.69/33.66  | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.69/33.66  | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.69/33.66  | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 196.69/33.66  | | |             | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.69/33.66  | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.69/33.66  | | |               op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.69/33.66  | | |               = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 196.69/33.66  | | |               = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.69/33.66  | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.69/33.66  | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.69/33.66  | | |               op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.69/33.66  | | |             (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.69/33.66  | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.69/33.66  | | |               op(e0, e1) = e0 & $i(all_57_7))))
% 196.69/33.66  | | | 
% 196.69/33.66  | | | BETA: splitting (50) gives:
% 196.69/33.66  | | | 
% 196.69/33.66  | | | Case 1:
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | |   (51)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.69/33.66  | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.69/33.66  | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.69/33.66  | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 196.69/33.66  | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.69/33.66  | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.69/33.66  | | | |           e1 & $i(all_57_9) & $i(all_57_14))
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | | REF_CLOSE: (8), (10), (26), (51) are inconsistent by sub-proof #1936.
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | Case 2:
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | |   (52)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.69/33.66  | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.69/33.66  | | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.69/33.66  | | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 196.69/33.66  | | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.69/33.66  | | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.69/33.66  | | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 196.69/33.66  | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 196.69/33.66  | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.69/33.66  | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.69/33.66  | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.69/33.66  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.69/33.66  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.69/33.66  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.69/33.66  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.69/33.66  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.69/33.66  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.69/33.66  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 196.69/33.66  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.69/33.66  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 196.69/33.66  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.69/33.66  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.69/33.66  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.69/33.66  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | | BETA: splitting (52) gives:
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | | Case 1:
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | |   (53)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.69/33.66  | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.69/33.66  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.69/33.66  | | | | |         $i(all_57_13)
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | | ALPHA: (53) implies:
% 196.69/33.66  | | | | |   (54)  op(e1, e1) = e0
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | | REF_CLOSE: (7), (8), (12), (13), (26), (27), (28), (33), (37), (39),
% 196.69/33.66  | | | | |            (40), (54) are inconsistent by sub-proof #1809.
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | Case 2:
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | |   (55)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.69/33.66  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.69/33.66  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.69/33.66  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.69/33.66  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.69/33.66  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.69/33.66  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.69/33.66  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.69/33.66  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.69/33.66  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.69/33.66  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.69/33.66  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.69/33.66  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.69/33.66  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.69/33.66  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.69/33.66  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.69/33.66  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.69/33.66  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.69/33.66  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.69/33.66  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.69/33.66  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.69/33.66  | | | | |               $i(all_57_7))))
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | | REF_CLOSE: (1), (5), (6), (7), (8), (9), (11), (12), (13), (18), (21),
% 196.69/33.66  | | | | |            (23), (24), (25), (26), (28), (29), (35), (37), (39), (40),
% 196.69/33.66  | | | | |            (55) are inconsistent by sub-proof #1065.
% 196.69/33.66  | | | | | 
% 196.69/33.66  | | | | End of split
% 196.69/33.66  | | | | 
% 196.69/33.66  | | | End of split
% 196.69/33.66  | | | 
% 196.69/33.66  | | End of split
% 196.69/33.66  | | 
% 196.69/33.66  | End of split
% 196.69/33.66  | 
% 196.69/33.66  End of proof
% 196.69/33.66  
% 196.69/33.66  Sub-proof #1065 shows that the following formulas are inconsistent:
% 196.69/33.66  ----------------------------------------------------------------
% 196.69/33.66    (1)  op(e1, e1) = e1
% 196.69/33.66    (2)   ~ (all_52_11 = e1)
% 196.69/33.66    (3)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.69/33.66         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.69/33.66    (4)   ~ (e3 = e2)
% 196.69/33.66    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.66    (6)  op(e2, e2) = all_4_2
% 196.69/33.66    (7)  all_56_5 = e3
% 196.69/33.66    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.69/33.66         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.69/33.66    (9)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.69/33.66         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.69/33.66    (10)  op(e1, e0) = all_52_14
% 196.69/33.66    (11)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 196.69/33.66              e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 196.69/33.66            all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0,
% 196.69/33.66              e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &
% 196.69/33.66                 ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.69/33.66                op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 196.69/33.66                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.69/33.66                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.69/33.66                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.69/33.66                  e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.69/33.66                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.69/33.66                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 196.69/33.66                  e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.69/33.66                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.69/33.66                  e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.69/33.66                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.69/33.66                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.69/33.66                  e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.69/33.66                $i(all_57_7))))
% 196.69/33.66    (12)  op(e0, e1) = all_52_11
% 196.69/33.66    (13)   ~ (all_52_14 = e1)
% 196.69/33.66    (14)   ~ (all_4_2 = e3)
% 196.69/33.66    (15)  op(e3, e2) = e3
% 196.69/33.66    (16)   ~ (e1 = e0)
% 196.69/33.66    (17)   ~ (e2 = e1)
% 196.69/33.66    (18)   ~ (all_52_11 = e0)
% 196.69/33.66    (19)  op(e2, e2) = e0
% 196.69/33.66    (20)   ~ (e3 = e1)
% 196.69/33.66    (21)   ~ (e2 = e0)
% 196.69/33.66    (22)   ~ (e3 = e0)
% 196.69/33.66  
% 196.69/33.66  Begin of proof
% 196.69/33.66  | 
% 196.69/33.66  | BETA: splitting (11) gives:
% 196.69/33.66  | 
% 196.69/33.66  | Case 1:
% 196.69/33.66  | | 
% 196.69/33.66  | |   (23)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.69/33.66  | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1,
% 196.69/33.66  | |           e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 196.69/33.66  | | 
% 196.69/33.66  | | ALPHA: (23) implies:
% 196.69/33.66  | |   (24)  op(e1, e0) = e1
% 196.69/33.66  | | 
% 196.69/33.66  | | REF_CLOSE: (5), (10), (13), (24) are inconsistent by sub-proof #1958.
% 196.69/33.66  | | 
% 196.69/33.66  | Case 2:
% 196.69/33.66  | | 
% 196.69/33.66  | |   (25)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 196.69/33.66  | |             = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.69/33.66  | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.69/33.66  | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.69/33.66  | |             (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.69/33.66  | |             op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.69/33.66  | |             e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.69/33.66  | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.69/33.66  | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.69/33.66  | |             (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.69/33.66  | |             op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 196.69/33.66  | |             e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.69/33.66  | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.69/33.66  | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.69/33.66  | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.69/33.66  | |             op(e0, e1) = e0 & $i(all_57_7)))
% 196.69/33.66  | | 
% 196.69/33.66  | | ALPHA: (25) implies:
% 196.69/33.66  | |   (26)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 196.69/33.66  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 196.69/33.66  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.69/33.66  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.69/33.66  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 196.69/33.66  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.69/33.66  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.69/33.66  | |           $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.69/33.66  | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.69/33.66  | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.69/33.66  | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.69/33.66  | |           & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.69/33.66  | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 196.69/33.66  | |             = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 196.69/33.66  | |           e0 & $i(all_57_7))
% 196.69/33.66  | | 
% 196.69/33.66  | | BETA: splitting (26) gives:
% 196.69/33.66  | | 
% 196.69/33.66  | | Case 1:
% 196.69/33.66  | | | 
% 196.69/33.66  | | |   (27)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.69/33.66  | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.69/33.66  | | |           op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.69/33.66  | | |           e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.69/33.66  | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.69/33.66  | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.69/33.67  | | |           (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.69/33.67  | | |           op(e0, e2) = e0 & $i(all_57_3))
% 196.69/33.67  | | | 
% 196.69/33.67  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (12), (14), (15), (16),
% 196.69/33.67  | | |            (17), (20), (21), (22), (27) are inconsistent by sub-proof
% 196.69/33.67  | | |            #1066.
% 196.69/33.67  | | | 
% 196.69/33.67  | | Case 2:
% 196.69/33.67  | | | 
% 196.69/33.67  | | |   (28)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.69/33.67  | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.69/33.67  | | |           op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 196.69/33.67  | | |           e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.69/33.67  | | |           & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.69/33.67  | | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.69/33.67  | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.69/33.67  | | |           op(e0, e1) = e0 & $i(all_57_7))
% 196.69/33.67  | | | 
% 196.69/33.67  | | | REF_CLOSE: (1), (5), (12), (16), (17), (18), (19), (28) are inconsistent
% 196.69/33.67  | | |            by sub-proof #1806.
% 196.69/33.67  | | | 
% 196.69/33.67  | | End of split
% 196.69/33.67  | | 
% 196.69/33.67  | End of split
% 196.69/33.67  | 
% 196.69/33.67  End of proof
% 196.69/33.67  
% 196.69/33.67  Sub-proof #1066 shows that the following formulas are inconsistent:
% 196.69/33.67  ----------------------------------------------------------------
% 196.69/33.67    (1)   ~ (all_52_11 = e1)
% 196.69/33.67    (2)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.69/33.67         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.69/33.67    (3)   ~ (e3 = e2)
% 196.69/33.67    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.67    (5)  op(e2, e2) = all_4_2
% 196.69/33.67    (6)  all_56_5 = e3
% 196.69/33.67    (7)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.69/33.67         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.69/33.67    (8)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.69/33.67         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.69/33.67    (9)  op(e0, e1) = all_52_11
% 196.69/33.67    (10)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 196.69/33.67              e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.69/33.67            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.69/33.67             ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.69/33.67              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.69/33.67            (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.69/33.67            all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.69/33.67    (11)   ~ (all_4_2 = e3)
% 196.69/33.67    (12)  op(e3, e2) = e3
% 196.69/33.67    (13)   ~ (e1 = e0)
% 196.69/33.67    (14)   ~ (e2 = e1)
% 196.69/33.67    (15)   ~ (e3 = e1)
% 196.69/33.67    (16)   ~ (e2 = e0)
% 196.69/33.67    (17)   ~ (e3 = e0)
% 196.69/33.67  
% 196.69/33.67  Begin of proof
% 196.69/33.67  | 
% 196.69/33.67  | BETA: splitting (10) gives:
% 196.69/33.67  | 
% 196.69/33.67  | Case 1:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (18)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 196.69/33.67  | |           = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.69/33.67  | |         & $i(all_57_0)
% 196.69/33.67  | | 
% 196.69/33.67  | | ALPHA: (18) implies:
% 196.69/33.67  | |   (19)  op(e2, e2) = e3
% 196.69/33.67  | | 
% 196.69/33.67  | | REF_CLOSE: (4), (5), (11), (19) are inconsistent by sub-proof #1975.
% 196.69/33.67  | | 
% 196.69/33.67  | Case 2:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (20)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 196.69/33.67  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 196.69/33.67  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.69/33.67  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.69/33.67  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.69/33.67  | | 
% 196.69/33.67  | | BETA: splitting (20) gives:
% 196.69/33.67  | | 
% 196.69/33.67  | | Case 1:
% 196.69/33.67  | | | 
% 196.69/33.67  | | |   (21)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.69/33.67  | | |         (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.69/33.67  | | |         op(e0, e3) = e0 & $i(all_57_1)
% 196.69/33.67  | | | 
% 196.69/33.67  | | | ALPHA: (21) implies:
% 196.69/33.67  | | |   (22)  op(e1, e1) = e3
% 196.69/33.67  | | | 
% 196.69/33.67  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (13), (14), (15), (16),
% 196.69/33.67  | | |            (17), (22) are inconsistent by sub-proof #1092.
% 196.69/33.67  | | | 
% 196.69/33.67  | | Case 2:
% 196.69/33.67  | | | 
% 196.69/33.67  | | |   (23)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.69/33.67  | | |         (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.69/33.67  | | |         op(e0, e2) = e0 & $i(all_57_3)
% 196.69/33.67  | | | 
% 196.69/33.67  | | | ALPHA: (23) implies:
% 196.69/33.67  | | |   (24)   ~ (all_57_3 = e3)
% 196.69/33.67  | | |   (25)  op(e3, e2) = all_57_3
% 196.69/33.67  | | | 
% 196.69/33.67  | | | REF_CLOSE: (4), (12), (24), (25) are inconsistent by sub-proof #1889.
% 196.69/33.67  | | | 
% 196.69/33.67  | | End of split
% 196.69/33.67  | | 
% 196.69/33.67  | End of split
% 196.69/33.67  | 
% 196.69/33.67  End of proof
% 196.69/33.67  
% 196.69/33.67  Sub-proof #1067 shows that the following formulas are inconsistent:
% 196.69/33.67  ----------------------------------------------------------------
% 196.69/33.67    (1)  op(e1, e1) = e1
% 196.69/33.67    (2)  op(e1, e3) = all_52_2
% 196.69/33.67    (3)   ~ (all_52_3 = e1)
% 196.69/33.67    (4)  op(e1, e2) = all_52_6
% 196.69/33.67    (5)   ~ (all_52_11 = e1)
% 196.69/33.67    (6)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.69/33.67         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.69/33.67    (7)   ~ (e3 = e2)
% 196.69/33.67    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.67    (9)  op(e2, e2) = all_4_2
% 196.69/33.67    (10)  all_56_5 = e3
% 196.69/33.67    (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.69/33.67          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.69/33.67    (12)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.69/33.67          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.69/33.67    (13)  all_54_12 = all_52_3
% 196.69/33.67    (14)  op(e0, e3) = all_52_3
% 196.69/33.67    (15)  all_54_12 = e1 | all_54_12 = e0
% 196.69/33.67    (16)  op(e0, e1) = all_52_11
% 196.69/33.67    (17)   ~ (all_4_2 = e3)
% 196.69/33.67    (18)   ~ (e1 = e0)
% 196.69/33.67    (19)   ~ (e2 = e1)
% 196.69/33.67    (20)   ~ (all_52_2 = e1)
% 196.69/33.67    (21)  op(e0, e0) = e3
% 196.69/33.67    (22)  op(e2, e2) = e0
% 196.69/33.67    (23)   ~ (e3 = e1)
% 196.69/33.67    (24)   ~ (all_52_6 = e1)
% 196.69/33.67    (25)   ~ (e2 = e0)
% 196.69/33.67    (26)   ~ (e3 = e0)
% 196.69/33.67    (27)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.69/33.67              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.69/33.67            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.69/33.67            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.69/33.67            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.69/33.67            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.69/33.67            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.69/33.67            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.69/33.67            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.69/33.67            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.69/33.67            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.69/33.67            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.69/33.67            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.69/33.67            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.69/33.67            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.69/33.67            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.69/33.67            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.69/33.67            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.69/33.67            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.69/33.67            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.69/33.67            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.69/33.67            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.69/33.67            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.69/33.67            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.69/33.67            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.69/33.67            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.69/33.67            $i(all_57_10))
% 196.69/33.67  
% 196.69/33.67  Begin of proof
% 196.69/33.67  | 
% 196.69/33.67  | BETA: splitting (27) gives:
% 196.69/33.67  | 
% 196.69/33.67  | Case 1:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (28)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 196.69/33.67  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.69/33.67  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.69/33.67  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.69/33.67  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.69/33.67  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 196.69/33.67  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 196.69/33.67  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 196.69/33.67  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.69/33.67  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 196.69/33.67  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.69/33.67  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.69/33.67  | | 
% 196.69/33.67  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 196.69/33.67  | |            (15), (16), (17), (18), (19), (20), (23), (25), (26), (28) are
% 196.69/33.67  | |            inconsistent by sub-proof #1068.
% 196.69/33.67  | | 
% 196.69/33.67  | Case 2:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (29)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 196.69/33.67  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.69/33.67  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.69/33.67  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 196.69/33.67  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.69/33.67  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.69/33.67  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 196.69/33.67  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 196.69/33.67  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.69/33.67  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.69/33.67  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.69/33.67  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.69/33.67  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.69/33.67  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.69/33.67  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.69/33.67  | | 
% 196.69/33.67  | | BETA: splitting (29) gives:
% 196.69/33.67  | | 
% 196.69/33.67  | | Case 1:
% 196.69/33.67  | | | 
% 196.69/33.67  | | |   (30)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.69/33.67  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.69/33.67  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.69/33.67  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 196.69/33.67  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.69/33.67  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.69/33.67  | | |           $i(all_57_5) & $i(all_57_10))
% 196.69/33.67  | | | 
% 196.69/33.67  | | | REF_CLOSE: (1), (7), (8), (19), (21), (30) are inconsistent by sub-proof
% 196.69/33.67  | | |            #1081.
% 196.69/33.67  | | | 
% 196.69/33.67  | | Case 2:
% 196.69/33.67  | | | 
% 196.69/33.67  | | |   (31)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.69/33.67  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.69/33.67  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.69/33.67  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 196.69/33.67  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 196.69/33.67  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.69/33.67  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 196.69/33.67  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.69/33.67  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.69/33.67  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.69/33.67  | | | 
% 196.69/33.67  | | | REF_CLOSE: (4), (8), (18), (22), (24), (31) are inconsistent by sub-proof
% 196.69/33.67  | | |            #1895.
% 196.69/33.67  | | | 
% 196.69/33.67  | | End of split
% 196.69/33.67  | | 
% 196.69/33.67  | End of split
% 196.69/33.67  | 
% 196.69/33.67  End of proof
% 196.69/33.67  
% 196.69/33.67  Sub-proof #1068 shows that the following formulas are inconsistent:
% 196.69/33.67  ----------------------------------------------------------------
% 196.69/33.67    (1)  op(e1, e3) = all_52_2
% 196.69/33.67    (2)   ~ (all_52_3 = e1)
% 196.69/33.67    (3)   ~ (all_52_11 = e1)
% 196.69/33.67    (4)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.69/33.67         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.69/33.67    (5)   ~ (e3 = e2)
% 196.69/33.67    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.67    (7)  op(e2, e2) = all_4_2
% 196.69/33.67    (8)  all_56_5 = e3
% 196.69/33.67    (9)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.69/33.67         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.69/33.67    (10)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.69/33.67          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.69/33.67    (11)  all_54_12 = all_52_3
% 196.69/33.67    (12)  op(e0, e3) = all_52_3
% 196.69/33.67    (13)  all_54_12 = e1 | all_54_12 = e0
% 196.69/33.67    (14)  op(e0, e1) = all_52_11
% 196.69/33.67    (15)   ~ (all_4_2 = e3)
% 196.69/33.67    (16)   ~ (e1 = e0)
% 196.69/33.67    (17)   ~ (e2 = e1)
% 196.69/33.67    (18)   ~ (all_52_2 = e1)
% 196.69/33.67    (19)   ~ (e3 = e1)
% 196.69/33.67    (20)   ~ (e2 = e0)
% 196.69/33.67    (21)   ~ (e3 = e0)
% 196.69/33.67    (22)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.69/33.67              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.69/33.67            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.69/33.67            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.69/33.67            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.69/33.67            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.69/33.67            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.69/33.67            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.69/33.67            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.69/33.67            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.69/33.67            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.69/33.67            $i(all_57_2) & $i(all_57_14))
% 196.69/33.67  
% 196.69/33.67  Begin of proof
% 196.69/33.67  | 
% 196.69/33.67  | BETA: splitting (22) gives:
% 196.69/33.67  | 
% 196.69/33.67  | Case 1:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (23)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 196.69/33.67  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.69/33.67  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.69/33.67  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.69/33.67  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.69/33.67  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.69/33.67  | | 
% 196.69/33.67  | | BETA: splitting (23) gives:
% 196.69/33.67  | | 
% 196.69/33.67  | | Case 1:
% 196.69/33.67  | | | 
% 196.69/33.67  | | |   (24)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.69/33.67  | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.69/33.67  | | |         op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.69/33.67  | | |         $i(all_57_12)
% 196.69/33.67  | | | 
% 196.69/33.67  | | | ALPHA: (24) implies:
% 196.69/33.67  | | |   (25)  op(e1, e1) = e3
% 196.69/33.67  | | | 
% 196.69/33.67  | | | REF_CLOSE: (3), (4), (5), (6), (8), (9), (10), (14), (16), (17), (19),
% 196.69/33.67  | | |            (20), (21), (25) are inconsistent by sub-proof #1092.
% 196.69/33.67  | | | 
% 196.69/33.67  | | Case 2:
% 196.69/33.67  | | | 
% 196.69/33.67  | | |   (26)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 196.69/33.67  | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.69/33.67  | | |         op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.69/33.67  | | |         $i(all_57_12)
% 196.69/33.67  | | | 
% 196.69/33.67  | | | ALPHA: (26) implies:
% 196.69/33.67  | | |   (27)   ~ (all_57_2 = e0)
% 196.69/33.67  | | |   (28)  op(e0, e3) = all_57_2
% 196.69/33.67  | | | 
% 196.69/33.67  | | | REF_CLOSE: (2), (6), (11), (12), (13), (27), (28) are inconsistent by
% 196.69/33.67  | | |            sub-proof #1069.
% 196.69/33.67  | | | 
% 196.69/33.67  | | End of split
% 196.69/33.67  | | 
% 196.69/33.67  | Case 2:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (29)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 196.69/33.67  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 196.69/33.67  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.69/33.67  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 196.69/33.67  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.69/33.67  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.69/33.67  | | 
% 196.69/33.67  | | REF_CLOSE: (1), (6), (7), (15), (18), (29) are inconsistent by sub-proof
% 196.69/33.67  | |            #1973.
% 196.69/33.67  | | 
% 196.69/33.67  | End of split
% 196.69/33.67  | 
% 196.69/33.67  End of proof
% 196.69/33.67  
% 196.69/33.67  Sub-proof #1069 shows that the following formulas are inconsistent:
% 196.69/33.67  ----------------------------------------------------------------
% 196.69/33.67    (1)   ~ (all_52_3 = e1)
% 196.69/33.67    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.67    (3)  all_54_12 = all_52_3
% 196.69/33.67    (4)  op(e0, e3) = all_52_3
% 196.69/33.67    (5)  all_54_12 = e1 | all_54_12 = e0
% 196.69/33.67    (6)   ~ (all_57_2 = e0)
% 196.69/33.67    (7)  op(e0, e3) = all_57_2
% 196.69/33.67  
% 196.69/33.67  Begin of proof
% 196.69/33.67  | 
% 196.69/33.67  | BETA: splitting (5) gives:
% 196.69/33.67  | 
% 196.69/33.67  | Case 1:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (8)  all_54_12 = e1
% 196.69/33.67  | | 
% 196.69/33.67  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #1464.
% 196.69/33.67  | | 
% 196.69/33.67  | Case 2:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (9)  all_54_12 = e0
% 196.69/33.67  | | 
% 196.69/33.67  | | COMBINE_EQS: (3), (9) imply:
% 196.69/33.67  | |   (10)  all_52_3 = e0
% 196.69/33.67  | | 
% 196.69/33.67  | | SIMP: (10) implies:
% 196.69/33.67  | |   (11)  all_52_3 = e0
% 196.69/33.67  | | 
% 196.69/33.67  | | REDUCE: (4), (11) imply:
% 196.69/33.67  | |   (12)  op(e0, e3) = e0
% 196.69/33.67  | | 
% 196.69/33.67  | | REF_CLOSE: (2), (6), (7), (12) are inconsistent by sub-proof #1526.
% 196.69/33.67  | | 
% 196.69/33.67  | End of split
% 196.69/33.67  | 
% 196.69/33.67  End of proof
% 196.69/33.67  
% 196.69/33.67  Sub-proof #1070 shows that the following formulas are inconsistent:
% 196.69/33.67  ----------------------------------------------------------------
% 196.69/33.67    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 196.69/33.67    (2)   ~ (e3 = e2)
% 196.69/33.67    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.67    (4)  op(e2, e2) = all_4_2
% 196.69/33.67    (5)   ~ (all_4_2 = e3)
% 196.69/33.67    (6)  all_56_2 = e2
% 196.69/33.67  
% 196.69/33.67  Begin of proof
% 196.69/33.67  | 
% 196.69/33.67  | BETA: splitting (1) gives:
% 196.69/33.67  | 
% 196.69/33.67  | Case 1:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 196.69/33.67  | | 
% 196.69/33.67  | | ALPHA: (7) implies:
% 196.69/33.67  | |   (8)  all_56_2 = e3
% 196.69/33.67  | | 
% 196.69/33.67  | | COMBINE_EQS: (6), (8) imply:
% 196.69/33.67  | |   (9)  e3 = e2
% 196.69/33.67  | | 
% 196.69/33.67  | | REDUCE: (2), (9) imply:
% 196.69/33.67  | |   (10)  $false
% 196.69/33.67  | | 
% 196.69/33.67  | | CLOSE: (10) is inconsistent.
% 196.69/33.67  | | 
% 196.69/33.67  | Case 2:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (11)  all_56_3 = e3 & op(e2, e2) = e3
% 196.69/33.67  | | 
% 196.69/33.67  | | ALPHA: (11) implies:
% 196.69/33.67  | |   (12)  op(e2, e2) = e3
% 196.69/33.67  | | 
% 196.69/33.67  | | REF_CLOSE: (3), (4), (5), (12) are inconsistent by sub-proof #1975.
% 196.69/33.67  | | 
% 196.69/33.67  | End of split
% 196.69/33.67  | 
% 196.69/33.67  End of proof
% 196.69/33.67  
% 196.69/33.67  Sub-proof #1071 shows that the following formulas are inconsistent:
% 196.69/33.67  ----------------------------------------------------------------
% 196.69/33.67    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.69/33.67         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.69/33.67    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.69/33.67         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.69/33.67    (3)   ~ (e3 = e2)
% 196.69/33.67    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.67    (5)  op(e3, e2) = all_52_4
% 196.69/33.67    (6)  op(e2, e2) = all_4_2
% 196.69/33.67    (7)  op(e3, e3) = e1
% 196.69/33.67    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.69/33.67         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.69/33.67    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.69/33.67         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.69/33.67    (10)   ~ (all_52_12 = e3)
% 196.69/33.67    (11)   ~ (all_4_2 = e3)
% 196.69/33.67    (12)   ~ (e1 = e0)
% 196.69/33.67    (13)   ~ (all_52_4 = e1)
% 196.69/33.67    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 196.69/33.67          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 196.69/33.67    (15)  all_56_6 = e3
% 196.69/33.67    (16)  all_56_6 = e0 & op(e1, e3) = e0
% 196.69/33.67    (17)   ~ (e2 = e1)
% 196.69/33.67    (18)  op(e3, e0) = all_52_12
% 196.69/33.67    (19)  all_56_1 = e3
% 196.69/33.67    (20)  op(e2, e2) = e0
% 196.69/33.67    (21)   ~ (e3 = e1)
% 196.69/33.67    (22)   ~ (e2 = e0)
% 196.69/33.67    (23)   ~ (e3 = e0)
% 196.69/33.67    (24)  all_56_13 = e1
% 196.69/33.67  
% 196.69/33.67  Begin of proof
% 196.69/33.67  | 
% 196.69/33.67  | ALPHA: (16) implies:
% 196.69/33.67  |   (25)  all_56_6 = e0
% 196.69/33.67  | 
% 196.69/33.67  | COMBINE_EQS: (15), (25) imply:
% 196.69/33.67  |   (26)  e3 = e0
% 196.69/33.67  | 
% 196.69/33.67  | COMBINE_EQS: (19), (26) imply:
% 196.69/33.67  |   (27)  all_56_1 = e0
% 196.69/33.67  | 
% 196.69/33.67  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.69/33.67  |            (13), (14), (17), (18), (20), (21), (22), (23), (24), (27) are
% 196.69/33.67  |            inconsistent by sub-proof #1072.
% 196.69/33.67  | 
% 196.69/33.67  End of proof
% 196.69/33.67  
% 196.69/33.67  Sub-proof #1072 shows that the following formulas are inconsistent:
% 196.69/33.67  ----------------------------------------------------------------
% 196.69/33.67    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.69/33.67         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.69/33.67    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.69/33.67         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.69/33.67    (3)   ~ (e3 = e2)
% 196.69/33.67    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.67    (5)  op(e3, e2) = all_52_4
% 196.69/33.67    (6)  op(e2, e2) = all_4_2
% 196.69/33.67    (7)  op(e3, e3) = e1
% 196.69/33.67    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.69/33.67         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.69/33.67    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.69/33.67         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.69/33.67    (10)  all_56_1 = e0
% 196.69/33.67    (11)   ~ (all_52_12 = e3)
% 196.69/33.67    (12)   ~ (all_4_2 = e3)
% 196.69/33.67    (13)   ~ (e1 = e0)
% 196.69/33.67    (14)   ~ (all_52_4 = e1)
% 196.69/33.67    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 196.69/33.67          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 196.69/33.67    (16)   ~ (e2 = e1)
% 196.69/33.67    (17)  op(e3, e0) = all_52_12
% 196.69/33.67    (18)  op(e2, e2) = e0
% 196.69/33.67    (19)   ~ (e3 = e1)
% 196.69/33.67    (20)   ~ (e2 = e0)
% 196.69/33.67    (21)   ~ (e3 = e0)
% 196.69/33.67    (22)  all_56_13 = e1
% 196.69/33.67  
% 196.69/33.67  Begin of proof
% 196.69/33.67  | 
% 196.69/33.67  | BETA: splitting (8) gives:
% 196.69/33.67  | 
% 196.69/33.67  | Case 1:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (23)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 196.69/33.67  | |           e3)
% 196.69/33.67  | | 
% 196.69/33.67  | | REF_CLOSE: (4), (6), (10), (12), (21), (23) are inconsistent by sub-proof
% 196.69/33.67  | |            #1928.
% 196.69/33.67  | | 
% 196.69/33.67  | Case 2:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (24)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 196.69/33.67  | |           e3)
% 196.69/33.67  | | 
% 196.69/33.67  | | BETA: splitting (24) gives:
% 196.69/33.67  | | 
% 196.69/33.67  | | Case 1:
% 196.69/33.67  | | | 
% 196.69/33.67  | | |   (25)  all_56_7 = e3 & op(e1, e2) = e3
% 196.69/33.67  | | | 
% 196.69/33.67  | | | ALPHA: (25) implies:
% 196.69/33.67  | | |   (26)  all_56_7 = e3
% 196.69/33.67  | | | 
% 196.69/33.67  | | | REF_CLOSE: (2), (3), (4), (7), (9), (10), (11), (15), (16), (17), (18),
% 196.69/33.67  | | |            (19), (20), (21), (22), (26) are inconsistent by sub-proof
% 196.69/33.67  | | |            #1073.
% 196.69/33.67  | | | 
% 196.69/33.67  | | Case 2:
% 196.69/33.67  | | | 
% 196.69/33.67  | | |   (27)  all_56_13 = e3 & op(e0, e2) = e3
% 196.69/33.67  | | | 
% 196.69/33.67  | | | ALPHA: (27) implies:
% 196.69/33.67  | | |   (28)  all_56_13 = e3
% 196.69/33.67  | | | 
% 196.69/33.67  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (12), (13), (14),
% 196.69/33.67  | | |            (16), (18), (19), (20), (21), (28) are inconsistent by
% 196.69/33.67  | | |            sub-proof #1901.
% 196.69/33.67  | | | 
% 196.69/33.67  | | End of split
% 196.69/33.67  | | 
% 196.69/33.67  | End of split
% 196.69/33.67  | 
% 196.69/33.67  End of proof
% 196.69/33.67  
% 196.69/33.67  Sub-proof #1073 shows that the following formulas are inconsistent:
% 196.69/33.67  ----------------------------------------------------------------
% 196.69/33.67    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.69/33.67         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.69/33.67    (2)   ~ (e3 = e2)
% 196.69/33.67    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.67    (4)  op(e3, e3) = e1
% 196.69/33.67    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.69/33.67         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.69/33.67    (6)  all_56_1 = e0
% 196.69/33.67    (7)  all_56_7 = e3
% 196.69/33.67    (8)   ~ (all_52_12 = e3)
% 196.69/33.67    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 196.69/33.67         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 196.69/33.67    (10)   ~ (e2 = e1)
% 196.69/33.67    (11)  op(e3, e0) = all_52_12
% 196.69/33.67    (12)  op(e2, e2) = e0
% 196.69/33.67    (13)   ~ (e3 = e1)
% 196.69/33.67    (14)   ~ (e2 = e0)
% 196.69/33.67    (15)   ~ (e3 = e0)
% 196.69/33.67    (16)  all_56_13 = e1
% 196.69/33.67  
% 196.69/33.67  Begin of proof
% 196.69/33.67  | 
% 196.69/33.67  | BETA: splitting (9) gives:
% 196.69/33.67  | 
% 196.69/33.67  | Case 1:
% 196.69/33.67  | | 
% 196.69/33.67  | |   (17)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 196.69/33.67  | |           e3)
% 196.69/33.67  | | 
% 196.69/33.67  | | REF_CLOSE: (3), (4), (6), (13), (15), (17) are inconsistent by sub-proof
% 196.69/33.67  | |            #1417.
% 196.69/33.67  | | 
% 196.69/33.67  | Case 2:
% 196.69/33.67  | | 
% 196.69/33.68  | |   (18)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 196.69/33.68  | |           e3)
% 196.69/33.68  | | 
% 196.69/33.68  | | BETA: splitting (18) gives:
% 196.69/33.68  | | 
% 196.69/33.68  | | Case 1:
% 196.69/33.68  | | | 
% 196.69/33.68  | | |   (19)  all_56_4 = e3 & op(e3, e1) = e3
% 196.69/33.68  | | | 
% 196.69/33.68  | | | ALPHA: (19) implies:
% 196.69/33.68  | | |   (20)  all_56_4 = e3
% 196.69/33.68  | | | 
% 196.69/33.68  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (12), (14), (16), (20)
% 196.69/33.68  | | |            are inconsistent by sub-proof #1915.
% 196.69/33.68  | | | 
% 196.69/33.68  | | Case 2:
% 196.69/33.68  | | | 
% 196.69/33.68  | | |   (21)  all_56_9 = e3 & op(e3, e0) = e3
% 196.69/33.68  | | | 
% 196.69/33.68  | | | ALPHA: (21) implies:
% 196.69/33.68  | | |   (22)  op(e3, e0) = e3
% 196.69/33.68  | | | 
% 196.69/33.68  | | | REF_CLOSE: (3), (8), (11), (22) are inconsistent by sub-proof #1964.
% 196.69/33.68  | | | 
% 196.69/33.68  | | End of split
% 196.69/33.68  | | 
% 196.69/33.68  | End of split
% 196.69/33.68  | 
% 196.69/33.68  End of proof
% 196.69/33.68  
% 196.69/33.68  Sub-proof #1074 shows that the following formulas are inconsistent:
% 196.69/33.68  ----------------------------------------------------------------
% 196.69/33.68    (1)   ~ (all_52_13 = e3)
% 196.69/33.68    (2)   ~ (e3 = e2)
% 196.69/33.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.68    (4)  op(e2, e2) = all_4_2
% 196.69/33.68    (5)  op(e3, e3) = e1
% 196.69/33.68    (6)  op(e2, e0) = all_52_13
% 196.69/33.68    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 196.69/33.68    (8)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.69/33.68           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.69/33.68             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.69/33.68    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.69/33.68         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.69/33.68    (10)   ~ (all_4_2 = e3)
% 196.69/33.68    (11)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.69/33.68          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.69/33.68    (12)   ~ (e1 = e0)
% 196.69/33.68    (13)  all_36_2 = e0
% 196.69/33.68    (14)   ~ (e2 = e1)
% 196.69/33.68    (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.69/33.68          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.69/33.68    (16)  op(e2, e2) = e0
% 196.69/33.68    (17)   ~ (e3 = e1)
% 196.69/33.68    (18)   ~ (e2 = e0)
% 196.69/33.68    (19)   ~ (e3 = e0)
% 196.69/33.68  
% 196.69/33.68  Begin of proof
% 196.69/33.68  | 
% 196.69/33.68  | BETA: splitting (7) gives:
% 196.69/33.68  | 
% 196.69/33.68  | Case 1:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (20)  all_56_0 = e0 & op(e3, e3) = e0
% 196.69/33.68  | | 
% 196.69/33.68  | | ALPHA: (20) implies:
% 196.69/33.68  | |   (21)  op(e3, e3) = e0
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (3), (5), (12), (21) are inconsistent by sub-proof #1937.
% 196.69/33.68  | | 
% 196.69/33.68  | Case 2:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (22)  all_56_2 = e0 & op(e2, e3) = e0
% 196.69/33.68  | | 
% 196.69/33.68  | | ALPHA: (22) implies:
% 196.69/33.68  | |   (23)  all_56_2 = e0
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (11), (12), (13), (14),
% 196.69/33.68  | |            (15), (16), (17), (18), (19), (23) are inconsistent by sub-proof
% 196.69/33.68  | |            #1213.
% 196.69/33.68  | | 
% 196.69/33.68  | End of split
% 196.69/33.68  | 
% 196.69/33.68  End of proof
% 196.69/33.68  
% 196.69/33.68  Sub-proof #1075 shows that the following formulas are inconsistent:
% 196.69/33.68  ----------------------------------------------------------------
% 196.69/33.68    (1)  all_54_2 = all_52_8
% 196.69/33.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.68    (3)  op(e0, e1) = e0
% 196.69/33.68    (4)   ~ (all_52_8 = e1)
% 196.69/33.68    (5)  op(e0, e1) = all_52_11
% 196.69/33.68    (6)   ~ (all_52_8 = all_52_11)
% 196.69/33.68    (7)  all_54_2 = e1 | all_54_2 = e0
% 196.69/33.68  
% 196.69/33.68  Begin of proof
% 196.69/33.68  | 
% 196.69/33.68  | BETA: splitting (7) gives:
% 196.69/33.68  | 
% 196.69/33.68  | Case 1:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (8)  all_54_2 = e1
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #1760.
% 196.69/33.68  | | 
% 196.69/33.68  | Case 2:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (9)  all_54_2 = e0
% 196.69/33.68  | | 
% 196.69/33.68  | | COMBINE_EQS: (1), (9) imply:
% 196.69/33.68  | |   (10)  all_52_8 = e0
% 196.69/33.68  | | 
% 196.69/33.68  | | SIMP: (10) implies:
% 196.69/33.68  | |   (11)  all_52_8 = e0
% 196.69/33.68  | | 
% 196.69/33.68  | | REDUCE: (6), (11) imply:
% 196.69/33.68  | |   (12)   ~ (all_52_11 = e0)
% 196.69/33.68  | | 
% 196.69/33.68  | | SIMP: (12) implies:
% 196.69/33.68  | |   (13)   ~ (all_52_11 = e0)
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (2), (3), (5), (13) are inconsistent by sub-proof #1931.
% 196.69/33.68  | | 
% 196.69/33.68  | End of split
% 196.69/33.68  | 
% 196.69/33.68  End of proof
% 196.69/33.68  
% 196.69/33.68  Sub-proof #1076 shows that the following formulas are inconsistent:
% 196.69/33.68  ----------------------------------------------------------------
% 196.69/33.68    (1)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.69/33.68           ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.69/33.68         ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.69/33.68             all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 196.69/33.68             ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13)))
% 196.69/33.68    (2)  all_57_15 = e3
% 196.69/33.68    (3)   ~ (e3 = e0)
% 196.69/33.68  
% 196.69/33.68  Begin of proof
% 196.69/33.68  | 
% 196.69/33.68  | ALPHA: (1) implies:
% 196.69/33.68  |   (4)  all_57_15 = e0
% 196.69/33.68  | 
% 196.69/33.68  | COMBINE_EQS: (2), (4) imply:
% 196.69/33.68  |   (5)  e3 = e0
% 196.69/33.68  | 
% 196.69/33.68  | REDUCE: (3), (5) imply:
% 196.69/33.68  |   (6)  $false
% 196.69/33.68  | 
% 196.69/33.68  | CLOSE: (6) is inconsistent.
% 196.69/33.68  | 
% 196.69/33.68  End of proof
% 196.69/33.68  
% 196.69/33.68  Sub-proof #1077 shows that the following formulas are inconsistent:
% 196.69/33.68  ----------------------------------------------------------------
% 196.69/33.68    (1)  op(e1, e0) = e0
% 196.69/33.68    (2)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.69/33.68    (3)  all_54_3 = all_52_12
% 196.69/33.68    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.68    (5)  op(e1, e0) = all_52_14
% 196.69/33.68    (6)   ~ (all_52_12 = e2)
% 196.69/33.68    (7)   ~ (all_52_12 = all_52_14)
% 196.69/33.68    (8)   ~ (all_52_12 = e3)
% 196.69/33.68    (9)   ~ (all_52_12 = e1)
% 196.69/33.68  
% 196.69/33.68  Begin of proof
% 196.69/33.68  | 
% 196.69/33.68  | BETA: splitting (2) gives:
% 196.69/33.68  | 
% 196.69/33.68  | Case 1:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (10)  all_54_3 = e3
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (3), (8), (10) are inconsistent by sub-proof #1330.
% 196.69/33.68  | | 
% 196.69/33.68  | Case 2:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (11)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (11) are inconsistent by
% 196.69/33.68  | |            sub-proof #1686.
% 196.69/33.68  | | 
% 196.69/33.68  | End of split
% 196.69/33.68  | 
% 196.69/33.68  End of proof
% 196.69/33.68  
% 196.69/33.68  Sub-proof #1078 shows that the following formulas are inconsistent:
% 196.69/33.68  ----------------------------------------------------------------
% 196.69/33.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.68    (2)  op(e3, e3) = e1
% 196.69/33.68    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.69/33.68           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.69/33.68           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.69/33.68                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 196.69/33.68               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.69/33.68               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.69/33.68           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 196.69/33.68           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.69/33.68               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.69/33.68           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.69/33.68               = all_57_5 & $i(all_57_5))))
% 196.69/33.68    (4)  op(e3, e2) = e3
% 196.69/33.68    (5)   ~ (e2 = e1)
% 196.69/33.68    (6)  op(e2, e2) = e2
% 196.69/33.68  
% 196.69/33.68  Begin of proof
% 196.69/33.68  | 
% 196.69/33.68  | BETA: splitting (3) gives:
% 196.69/33.68  | 
% 196.69/33.68  | Case 1:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.69/33.68  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.69/33.68  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.69/33.68  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 196.69/33.68  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 196.69/33.68  | |            & $i(all_57_8)))
% 196.69/33.68  | | 
% 196.69/33.68  | | ALPHA: (7) implies:
% 196.69/33.68  | |   (8)  op(e2, e2) = e1
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1783.
% 196.69/33.68  | | 
% 196.69/33.68  | Case 2:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 196.69/33.68  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.69/33.68  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.69/33.68  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.69/33.68  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 196.69/33.68  | |            & $i(all_57_5)))
% 196.69/33.68  | | 
% 196.69/33.68  | | ALPHA: (9) implies:
% 196.69/33.68  | |   (10)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 196.69/33.68  | |             e2) = all_57_3 & $i(all_57_3))
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (1), (2), (4), (5), (10) are inconsistent by sub-proof #1888.
% 196.69/33.68  | | 
% 196.69/33.68  | End of split
% 196.69/33.68  | 
% 196.69/33.68  End of proof
% 196.69/33.68  
% 196.69/33.68  Sub-proof #1079 shows that the following formulas are inconsistent:
% 196.69/33.68  ----------------------------------------------------------------
% 196.69/33.68    (1)  op(e1, e1) = e1
% 196.69/33.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.68    (3)  op(e3, e3) = e1
% 196.69/33.68    (4)   ~ (e2 = e1)
% 196.69/33.68    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.69/33.68             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.69/33.68           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 196.69/33.68           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.69/33.68             e2) = e0 & $i(all_57_3))
% 196.69/33.68    (6)   ~ (e3 = e1)
% 196.69/33.68  
% 196.69/33.68  Begin of proof
% 196.69/33.68  | 
% 196.69/33.68  | BETA: splitting (5) gives:
% 196.69/33.68  | 
% 196.69/33.68  | Case 1:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.69/33.68  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.69/33.68  | |        $i(all_57_1)
% 196.69/33.68  | | 
% 196.69/33.68  | | ALPHA: (7) implies:
% 196.69/33.68  | |   (8)  op(e1, e1) = e3
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1978.
% 196.69/33.68  | | 
% 196.69/33.68  | Case 2:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.69/33.68  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.69/33.68  | |        $i(all_57_3)
% 196.69/33.68  | | 
% 196.69/33.68  | | ALPHA: (9) implies:
% 196.69/33.68  | |   (10)  op(e3, e3) = e2
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1934.
% 196.69/33.68  | | 
% 196.69/33.68  | End of split
% 196.69/33.68  | 
% 196.69/33.68  End of proof
% 196.69/33.68  
% 196.69/33.68  Sub-proof #1080 shows that the following formulas are inconsistent:
% 196.69/33.68  ----------------------------------------------------------------
% 196.69/33.68    (1)  op(e1, e1) = e1
% 196.69/33.68    (2)  op(e1, e3) = all_52_2
% 196.69/33.68    (3)  op(e1, e2) = all_52_6
% 196.69/33.68    (4)   ~ (e3 = e2)
% 196.69/33.68    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.68    (6)  op(e2, e2) = all_4_2
% 196.69/33.68    (7)   ~ (all_4_2 = e3)
% 196.69/33.68    (8)   ~ (all_52_1 = e2)
% 196.69/33.68    (9)   ~ (e2 = e1)
% 196.69/33.68    (10)   ~ (all_52_2 = e1)
% 196.69/33.68    (11)  op(e2, e2) = e2
% 196.69/33.68    (12)  op(e0, e0) = e3
% 196.69/33.68    (13)   ~ (all_52_6 = e1)
% 196.69/33.68    (14)  op(e2, e3) = all_52_1
% 196.69/33.68    (15)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.69/33.68              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.69/33.68            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.69/33.68            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.69/33.68            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.69/33.68            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.69/33.68            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.69/33.68            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.69/33.68            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.69/33.68            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.69/33.68            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.69/33.68            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.69/33.68            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.69/33.68            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.69/33.68            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.69/33.68            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.69/33.68            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.69/33.68            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.69/33.68            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.69/33.68            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.69/33.68            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.69/33.68            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.69/33.68            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.69/33.68            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.69/33.68            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.69/33.68            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.69/33.68            $i(all_57_10))
% 196.69/33.68  
% 196.69/33.68  Begin of proof
% 196.69/33.68  | 
% 196.69/33.68  | BETA: splitting (15) gives:
% 196.69/33.68  | 
% 196.69/33.68  | Case 1:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (16)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 196.69/33.68  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.69/33.68  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.69/33.68  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 196.69/33.68  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.69/33.68  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 196.69/33.68  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 196.69/33.68  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 196.69/33.68  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.69/33.68  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 196.69/33.68  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.69/33.68  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.69/33.68  | | 
% 196.69/33.68  | | BETA: splitting (16) gives:
% 196.69/33.68  | | 
% 196.69/33.68  | | Case 1:
% 196.69/33.68  | | | 
% 196.69/33.68  | | |   (17)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.69/33.68  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.69/33.68  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.69/33.68  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 196.69/33.68  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.69/33.68  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.69/33.68  | | |           $i(all_57_2) & $i(all_57_12))
% 196.69/33.68  | | | 
% 196.69/33.68  | | | REF_CLOSE: (5), (8), (14), (17) are inconsistent by sub-proof #1784.
% 196.69/33.68  | | | 
% 196.69/33.68  | | Case 2:
% 196.69/33.68  | | | 
% 196.69/33.68  | | |   (18)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.69/33.68  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.69/33.68  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.69/33.68  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 196.69/33.68  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 196.69/33.68  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.69/33.68  | | |           $i(all_57_2) & $i(all_57_14))
% 196.69/33.68  | | | 
% 196.69/33.68  | | | REF_CLOSE: (2), (5), (6), (7), (10), (18) are inconsistent by sub-proof
% 196.69/33.68  | | |            #1973.
% 196.69/33.68  | | | 
% 196.69/33.68  | | End of split
% 196.69/33.68  | | 
% 196.69/33.68  | Case 2:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (19)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 196.69/33.68  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.69/33.68  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.69/33.68  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 196.69/33.68  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.69/33.68  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.69/33.68  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 196.69/33.68  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 196.69/33.68  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.69/33.68  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.69/33.68  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.69/33.68  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.69/33.68  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.69/33.68  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.69/33.68  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.69/33.68  | | 
% 196.69/33.68  | | BETA: splitting (19) gives:
% 196.69/33.68  | | 
% 196.69/33.68  | | Case 1:
% 196.69/33.68  | | | 
% 196.69/33.68  | | |   (20)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.69/33.68  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.69/33.68  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.69/33.68  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 196.69/33.68  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 196.69/33.68  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.69/33.68  | | |           $i(all_57_5) & $i(all_57_10))
% 196.69/33.68  | | | 
% 196.69/33.68  | | | REF_CLOSE: (1), (4), (5), (9), (12), (20) are inconsistent by sub-proof
% 196.69/33.68  | | |            #1081.
% 196.69/33.68  | | | 
% 196.69/33.68  | | Case 2:
% 196.69/33.68  | | | 
% 196.69/33.68  | | |   (21)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.69/33.68  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.69/33.68  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.69/33.68  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 196.69/33.68  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 196.69/33.68  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.69/33.68  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 196.69/33.68  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.69/33.68  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.69/33.68  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.69/33.68  | | | 
% 196.69/33.68  | | | REF_CLOSE: (3), (5), (9), (11), (13), (21) are inconsistent by sub-proof
% 196.69/33.68  | | |            #1782.
% 196.69/33.68  | | | 
% 196.69/33.68  | | End of split
% 196.69/33.68  | | 
% 196.69/33.68  | End of split
% 196.69/33.68  | 
% 196.69/33.68  End of proof
% 196.69/33.68  
% 196.69/33.68  Sub-proof #1081 shows that the following formulas are inconsistent:
% 196.69/33.68  ----------------------------------------------------------------
% 196.69/33.68    (1)  op(e1, e1) = e1
% 196.69/33.68    (2)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.69/33.68             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.69/33.68           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 196.69/33.68           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.69/33.68           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 196.69/33.68           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 196.69/33.68    (3)   ~ (e3 = e2)
% 196.69/33.68    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.68    (5)   ~ (e2 = e1)
% 196.69/33.68    (6)  op(e0, e0) = e3
% 196.69/33.68  
% 196.69/33.68  Begin of proof
% 196.69/33.68  | 
% 196.69/33.68  | BETA: splitting (2) gives:
% 196.69/33.68  | 
% 196.69/33.68  | Case 1:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (7)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.69/33.68  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.69/33.68  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 196.69/33.68  | | 
% 196.69/33.68  | | ALPHA: (7) implies:
% 196.69/33.68  | |   (8)  op(e1, e1) = e2
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1955.
% 196.69/33.68  | | 
% 196.69/33.68  | Case 2:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (9)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.69/33.68  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.69/33.68  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 196.69/33.68  | | 
% 196.69/33.68  | | ALPHA: (9) implies:
% 196.69/33.68  | |   (10)  op(e0, e0) = e2
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (3), (4), (6), (10) are inconsistent by sub-proof #1692.
% 196.69/33.68  | | 
% 196.69/33.68  | End of split
% 196.69/33.68  | 
% 196.69/33.68  End of proof
% 196.69/33.68  
% 196.69/33.68  Sub-proof #1082 shows that the following formulas are inconsistent:
% 196.69/33.68  ----------------------------------------------------------------
% 196.69/33.68    (1)   ~ (all_52_4 = e3)
% 196.69/33.68    (2)  op(e1, e1) = e1
% 196.69/33.68    (3)   ~ (all_52_3 = e2)
% 196.69/33.68    (4)   ~ (all_52_7 = all_4_2)
% 196.69/33.68    (5)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.69/33.68         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.69/33.68    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.69/33.68         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.69/33.68    (7)   ~ (e3 = e2)
% 196.69/33.68    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.68    (9)  all_56_5 = e3
% 196.69/33.68    (10)   ~ (all_52_3 = all_52_7)
% 196.69/33.68    (11)  all_54_12 = all_52_3
% 196.69/33.68    (12)  all_54_13 = all_52_7
% 196.69/33.68    (13)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.69/33.68            all_57_8 & $i(all_57_8))
% 196.69/33.68    (14)   ~ (all_52_4 = all_52_7)
% 196.69/33.68    (15)  all_56_15 = e3
% 196.69/33.68    (16)   ~ (all_57_2 = e0)
% 196.69/33.68    (17)   ~ (all_52_4 = all_4_2)
% 196.69/33.68    (18)  op(e3, e3) = e3
% 196.69/33.68    (19)  all_56_7 = e3
% 196.69/33.68    (20)   ~ (all_52_12 = e3)
% 196.69/33.68    (21)  all_56_2 = e1 & op(e2, e3) = e1
% 196.69/33.68    (22)   ~ (all_4_2 = e1)
% 196.69/33.68    (23)   ~ (all_4_2 = e3)
% 196.69/33.68    (24)   ~ (e1 = e0)
% 196.69/33.68    (25)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.69/33.68          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.69/33.68    (26)  all_54_5 = all_4_2
% 196.69/33.68    (27)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.69/33.68    (28)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.69/33.68    (29)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.69/33.68              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.69/33.68                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.69/33.68                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.69/33.68    (30)   ~ (e2 = e1)
% 196.69/33.68    (31)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.69/33.68          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.69/33.68    (32)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.69/33.68    (33)   ~ (all_52_3 = e0)
% 196.69/33.68    (34)  op(e3, e0) = all_52_12
% 196.69/33.68    (35)   ~ (all_52_7 = e3)
% 196.69/33.68    (36)  op(e0, e3) = all_57_2
% 196.69/33.68    (37)  op(e0, e0) = e3
% 196.69/33.68    (38)   ~ (e3 = e1)
% 196.69/33.68    (39)  all_54_1 = all_52_4
% 196.69/33.68    (40)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.69/33.68          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.69/33.68    (41)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.69/33.68    (42)   ~ (e3 = e0)
% 196.69/33.68    (43)   ~ (all_4_2 = e2)
% 196.69/33.68    (44)  all_56_13 = e1
% 196.69/33.68  
% 196.69/33.68  Begin of proof
% 196.69/33.68  | 
% 196.69/33.68  | ALPHA: (21) implies:
% 196.69/33.68  |   (45)  all_56_2 = e1
% 196.69/33.68  | 
% 196.69/33.68  | BETA: splitting (29) gives:
% 196.69/33.68  | 
% 196.69/33.68  | Case 1:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (46)  all_56_15 = e0 & op(e0, e0) = e0
% 196.69/33.68  | | 
% 196.69/33.68  | | REF_CLOSE: (15), (42), (46) are inconsistent by sub-proof #1115.
% 196.69/33.68  | | 
% 196.69/33.68  | Case 2:
% 196.69/33.68  | | 
% 196.69/33.68  | |   (47)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.69/33.68  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 196.69/33.68  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.69/33.68  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.69/33.68  | | 
% 196.69/33.68  | | ALPHA: (47) implies:
% 196.69/33.68  | |   (48)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.69/33.68  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.69/33.68  | | 
% 196.69/33.68  | | BETA: splitting (48) gives:
% 196.69/33.68  | | 
% 196.69/33.68  | | Case 1:
% 196.69/33.68  | | | 
% 196.69/33.68  | | |   (49)  all_56_12 = e0 & op(e0, e3) = e0
% 196.69/33.68  | | | 
% 196.69/33.68  | | | ALPHA: (49) implies:
% 196.69/33.68  | | |   (50)  op(e0, e3) = e0
% 196.69/33.68  | | | 
% 196.69/33.68  | | | REF_CLOSE: (8), (16), (36), (50) are inconsistent by sub-proof #1526.
% 196.69/33.68  | | | 
% 196.69/33.68  | | Case 2:
% 196.69/33.68  | | | 
% 196.69/33.68  | | |   (51)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 196.69/33.68  | | |           = e0)
% 196.69/33.68  | | | 
% 196.69/33.68  | | | BETA: splitting (51) gives:
% 196.69/33.68  | | | 
% 196.69/33.68  | | | Case 1:
% 196.69/33.68  | | | | 
% 196.69/33.68  | | | |   (52)  all_56_13 = e0 & op(e0, e2) = e0
% 196.69/33.68  | | | | 
% 196.69/33.68  | | | | ALPHA: (52) implies:
% 196.69/33.68  | | | |   (53)  all_56_13 = e0
% 196.69/33.68  | | | | 
% 196.69/33.68  | | | | REF_CLOSE: (24), (44), (53) are inconsistent by sub-proof #1787.
% 196.69/33.68  | | | | 
% 196.69/33.68  | | | Case 2:
% 196.69/33.68  | | | | 
% 196.69/33.68  | | | |   (54)  all_56_14 = e0 & op(e0, e1) = e0
% 196.69/33.68  | | | | 
% 196.69/33.68  | | | | ALPHA: (54) implies:
% 196.69/33.68  | | | |   (55)  op(e0, e1) = e0
% 196.69/33.68  | | | | 
% 196.69/33.68  | | | | BETA: splitting (41) gives:
% 196.69/33.68  | | | | 
% 196.69/33.68  | | | | Case 1:
% 196.69/33.68  | | | | | 
% 196.69/33.68  | | | | |   (56)  all_54_5 = e2
% 196.69/33.68  | | | | | 
% 196.69/33.68  | | | | | REF_CLOSE: (26), (43), (56) are inconsistent by sub-proof #1106.
% 196.69/33.68  | | | | | 
% 196.69/33.68  | | | | Case 2:
% 196.69/33.68  | | | | | 
% 196.69/33.68  | | | | |   (57)   ~ (all_54_5 = e2)
% 196.69/33.68  | | | | |   (58)  all_54_5 = e1 | all_54_5 = e0
% 196.69/33.68  | | | | | 
% 196.69/33.68  | | | | | BETA: splitting (58) gives:
% 196.69/33.68  | | | | | 
% 196.69/33.68  | | | | | Case 1:
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | |   (59)  all_54_5 = e1
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | REF_CLOSE: (22), (26), (59) are inconsistent by sub-proof #1089.
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | Case 2:
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | |   (60)  all_54_5 = e0
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | COMBINE_EQS: (26), (60) imply:
% 196.69/33.68  | | | | | |   (61)  all_4_2 = e0
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | SIMP: (61) implies:
% 196.69/33.68  | | | | | |   (62)  all_4_2 = e0
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | REDUCE: (17), (62) imply:
% 196.69/33.68  | | | | | |   (63)   ~ (all_52_4 = e0)
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | REDUCE: (4), (62) imply:
% 196.69/33.68  | | | | | |   (64)   ~ (all_52_7 = e0)
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | REDUCE: (23), (62) imply:
% 196.69/33.68  | | | | | |   (65)   ~ (e3 = e0)
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | REDUCE: (43), (62) imply:
% 196.69/33.68  | | | | | |   (66)   ~ (e2 = e0)
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | SIMP: (66) implies:
% 196.69/33.68  | | | | | |   (67)   ~ (e2 = e0)
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | REDUCE: (22), (62) imply:
% 196.69/33.68  | | | | | |   (68)   ~ (e1 = e0)
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | BETA: splitting (40) gives:
% 196.69/33.68  | | | | | | 
% 196.69/33.68  | | | | | | Case 1:
% 196.69/33.68  | | | | | | | 
% 196.69/33.68  | | | | | | |   (69)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 &
% 196.69/33.68  | | | | | | |           op(e1, e2) = e2)
% 196.69/33.68  | | | | | | | 
% 196.69/33.69  | | | | | | | BETA: splitting (69) gives:
% 196.69/33.69  | | | | | | | 
% 196.69/33.69  | | | | | | | Case 1:
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | |   (70)  all_56_6 = e2 & op(e1, e3) = e2
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | | ALPHA: (70) implies:
% 196.69/33.69  | | | | | | | |   (71)  all_56_6 = e2
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | | REF_CLOSE: (6), (8), (16), (18), (24), (36), (42), (45), (67),
% 196.69/33.69  | | | | | | | |            (71) are inconsistent by sub-proof #1088.
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | Case 2:
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | |   (72)  all_56_7 = e2 & op(e1, e2) = e2
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | | REF_CLOSE: (7), (19), (72) are inconsistent by sub-proof #1925.
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | End of split
% 196.69/33.69  | | | | | | | 
% 196.69/33.69  | | | | | | Case 2:
% 196.69/33.69  | | | | | | | 
% 196.69/33.69  | | | | | | |   (73)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 196.69/33.69  | | | | | | |           op(e1, e0) = e2)
% 196.69/33.69  | | | | | | | 
% 196.69/33.69  | | | | | | | BETA: splitting (73) gives:
% 196.69/33.69  | | | | | | | 
% 196.69/33.69  | | | | | | | Case 1:
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | |   (74)  all_56_8 = e2 & op(e1, e1) = e2
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | | ALPHA: (74) implies:
% 196.69/33.69  | | | | | | | |   (75)  op(e1, e1) = e2
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | | REF_CLOSE: (2), (8), (30), (75) are inconsistent by sub-proof
% 196.69/33.69  | | | | | | | |            #1955.
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | Case 2:
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | |   (76)  all_56_11 = e2 & op(e1, e0) = e2
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | | ALPHA: (76) implies:
% 196.69/33.69  | | | | | | | |   (77)  all_56_11 = e2
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | | BETA: splitting (13) gives:
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | | Case 1:
% 196.69/33.69  | | | | | | | | | 
% 196.69/33.69  | | | | | | | | |   (78)  all_57_15 = e1 & op(e0, e0) = e1
% 196.69/33.69  | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | ALPHA: (78) implies:
% 196.69/33.69  | | | | | | | | |   (79)  op(e0, e0) = e1
% 196.69/33.69  | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (20), (24), (25), (30), (31),
% 196.69/33.69  | | | | | | | | |            (34), (38), (42), (45), (67), (77), (79) are
% 196.69/33.69  | | | | | | | | |            inconsistent by sub-proof #1083.
% 196.69/33.69  | | | | | | | | | 
% 196.69/33.69  | | | | | | | | Case 2:
% 196.69/33.69  | | | | | | | | | 
% 196.69/33.69  | | | | | | | | |   (80)   ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.69/33.69  | | | | | | | | |         $i(all_57_8)
% 196.69/33.69  | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | ALPHA: (80) implies:
% 196.69/33.69  | | | | | | | | |   (81)  op(e0, e1) = all_57_8
% 196.69/33.69  | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | BETA: splitting (27) gives:
% 196.69/33.69  | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | Case 1:
% 196.69/33.69  | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | |   (82)  all_54_12 = e2
% 196.69/33.69  | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | REF_CLOSE: (3), (11), (82) are inconsistent by sub-proof
% 196.69/33.69  | | | | | | | | | |            #1465.
% 196.69/33.69  | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | Case 2:
% 196.69/33.69  | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | |   (83)  all_54_12 = e1 | all_54_12 = e0
% 196.69/33.69  | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | BETA: splitting (83) gives:
% 196.69/33.69  | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | Case 1:
% 196.69/33.69  | | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | |   (84)  all_54_12 = e1
% 196.69/33.69  | | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | | COMBINE_EQS: (11), (84) imply:
% 196.69/33.69  | | | | | | | | | | |   (85)  all_52_3 = e1
% 196.69/33.69  | | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | | SIMP: (85) implies:
% 196.69/33.69  | | | | | | | | | | |   (86)  all_52_3 = e1
% 196.69/33.69  | | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | | REDUCE: (10), (86) imply:
% 196.69/33.69  | | | | | | | | | | |   (87)   ~ (all_52_7 = e1)
% 196.69/33.69  | | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | | SIMP: (87) implies:
% 196.69/33.69  | | | | | | | | | | |   (88)   ~ (all_52_7 = e1)
% 196.69/33.69  | | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | | REF_CLOSE: (1), (8), (12), (13), (14), (28), (32), (35),
% 196.69/33.69  | | | | | | | | | | |            (37), (39), (55), (63), (64), (81), (88) are
% 196.69/33.69  | | | | | | | | | | |            inconsistent by sub-proof #1103.
% 196.69/33.69  | | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | Case 2:
% 196.69/33.69  | | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | |   (89)  all_54_12 = e0
% 196.69/33.69  | | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | | REF_CLOSE: (11), (33), (89) are inconsistent by sub-proof
% 196.69/33.69  | | | | | | | | | | |            #1098.
% 196.69/33.69  | | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | | End of split
% 196.69/33.69  | | | | | | | | | | 
% 196.69/33.69  | | | | | | | | | End of split
% 196.69/33.69  | | | | | | | | | 
% 196.69/33.69  | | | | | | | | End of split
% 196.69/33.69  | | | | | | | | 
% 196.69/33.69  | | | | | | | End of split
% 196.69/33.69  | | | | | | | 
% 196.69/33.69  | | | | | | End of split
% 196.69/33.69  | | | | | | 
% 196.69/33.69  | | | | | End of split
% 196.69/33.69  | | | | | 
% 196.69/33.69  | | | | End of split
% 196.69/33.69  | | | | 
% 196.69/33.69  | | | End of split
% 196.69/33.69  | | | 
% 196.69/33.69  | | End of split
% 196.69/33.69  | | 
% 196.69/33.69  | End of split
% 196.69/33.69  | 
% 196.69/33.69  End of proof
% 196.69/33.69  
% 196.69/33.69  Sub-proof #1083 shows that the following formulas are inconsistent:
% 196.69/33.69  ----------------------------------------------------------------
% 196.69/33.69    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.69/33.69         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.69/33.69    (2)  op(e0, e0) = e1
% 196.69/33.69    (3)   ~ (e3 = e2)
% 196.69/33.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.69    (5)  all_56_5 = e3
% 196.69/33.69    (6)  all_56_11 = e2
% 196.69/33.69    (7)   ~ (all_52_12 = e3)
% 196.69/33.69    (8)   ~ (e1 = e0)
% 196.69/33.69    (9)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.69/33.69         (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.69/33.69    (10)  all_56_2 = e1
% 196.69/33.69    (11)   ~ (e2 = e1)
% 196.69/33.69    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.69/33.69          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.69/33.69    (13)  op(e3, e0) = all_52_12
% 196.69/33.69    (14)   ~ (e3 = e1)
% 196.69/33.69    (15)   ~ (e2 = e0)
% 196.69/33.69    (16)   ~ (e3 = e0)
% 196.69/33.69  
% 196.69/33.69  Begin of proof
% 196.69/33.69  | 
% 196.69/33.69  | BETA: splitting (9) gives:
% 196.69/33.69  | 
% 196.69/33.69  | Case 1:
% 196.69/33.69  | | 
% 196.69/33.69  | |   (17)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 196.69/33.69  | |           e3)
% 196.69/33.69  | | 
% 196.69/33.69  | | BETA: splitting (17) gives:
% 196.69/33.69  | | 
% 196.69/33.69  | | Case 1:
% 196.69/33.69  | | | 
% 196.69/33.69  | | |   (18)  all_56_9 = e3 & op(e3, e0) = e3
% 196.69/33.69  | | | 
% 196.69/33.69  | | | ALPHA: (18) implies:
% 196.69/33.69  | | |   (19)  op(e3, e0) = e3
% 196.69/33.69  | | | 
% 196.69/33.69  | | | REF_CLOSE: (4), (7), (13), (19) are inconsistent by sub-proof #1964.
% 196.69/33.69  | | | 
% 196.69/33.69  | | Case 2:
% 196.69/33.69  | | | 
% 196.69/33.69  | | |   (20)  all_56_10 = e3 & op(e2, e0) = e3
% 196.69/33.69  | | | 
% 196.69/33.69  | | | REF_CLOSE: (1), (3), (5), (8), (10), (11), (12), (15), (16), (20) are
% 196.69/33.69  | | |            inconsistent by sub-proof #1085.
% 196.69/33.69  | | | 
% 196.69/33.69  | | End of split
% 196.69/33.69  | | 
% 196.69/33.69  | Case 2:
% 196.69/33.69  | | 
% 196.69/33.69  | |   (21)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 196.69/33.69  | |           e3)
% 196.69/33.69  | | 
% 196.69/33.69  | | REF_CLOSE: (2), (3), (4), (6), (14), (21) are inconsistent by sub-proof
% 196.69/33.69  | |            #1084.
% 196.69/33.69  | | 
% 196.69/33.69  | End of split
% 196.69/33.69  | 
% 196.69/33.69  End of proof
% 196.69/33.69  
% 196.69/33.69  Sub-proof #1084 shows that the following formulas are inconsistent:
% 196.69/33.69  ----------------------------------------------------------------
% 196.69/33.69    (1)  op(e0, e0) = e1
% 196.69/33.69    (2)   ~ (e3 = e2)
% 196.69/33.69    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.69/33.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.69/33.69    (4)  all_56_11 = e2
% 196.69/33.69    (5)   ~ (e3 = e1)
% 196.69/33.69    (6)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.69/33.69  
% 196.69/33.69  Begin of proof
% 196.69/33.69  | 
% 196.69/33.69  | BETA: splitting (6) gives:
% 196.69/33.69  | 
% 196.69/33.69  | Case 1:
% 196.69/33.69  | | 
% 196.69/33.69  | |   (7)  all_56_11 = e3 & op(e1, e0) = e3
% 196.69/33.69  | | 
% 196.69/33.69  | | ALPHA: (7) implies:
% 196.69/33.69  | |   (8)  all_56_11 = e3
% 196.69/33.69  | | 
% 196.69/33.69  | | COMBINE_EQS: (4), (8) imply:
% 196.69/33.69  | |   (9)  e3 = e2
% 196.69/33.69  | | 
% 196.69/33.69  | | REDUCE: (2), (9) imply:
% 196.69/33.69  | |   (10)  $false
% 196.69/33.69  | | 
% 196.69/33.69  | | CLOSE: (10) is inconsistent.
% 196.84/33.69  | | 
% 196.84/33.69  | Case 2:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (11)  all_56_15 = e3 & op(e0, e0) = e3
% 196.84/33.69  | | 
% 196.84/33.69  | | ALPHA: (11) implies:
% 196.84/33.69  | |   (12)  op(e0, e0) = e3
% 196.84/33.69  | | 
% 196.84/33.69  | | REF_CLOSE: (1), (3), (5), (12) are inconsistent by sub-proof #1392.
% 196.84/33.69  | | 
% 196.84/33.69  | End of split
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1085 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)  all_56_10 = e3 & op(e2, e0) = e3
% 196.84/33.69    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.84/33.69         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.84/33.69    (3)   ~ (e3 = e2)
% 196.84/33.69    (4)  all_56_5 = e3
% 196.84/33.69    (5)   ~ (e1 = e0)
% 196.84/33.69    (6)  all_56_2 = e1
% 196.84/33.69    (7)   ~ (e2 = e1)
% 196.84/33.69    (8)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.84/33.69         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.84/33.69    (9)   ~ (e2 = e0)
% 196.84/33.69    (10)   ~ (e3 = e0)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | ALPHA: (1) implies:
% 196.84/33.69  |   (11)  all_56_10 = e3
% 196.84/33.69  | 
% 196.84/33.69  | BETA: splitting (2) gives:
% 196.84/33.69  | 
% 196.84/33.69  | Case 1:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (12)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 196.84/33.69  | |           e0)
% 196.84/33.69  | | 
% 196.84/33.69  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (11), (12) are inconsistent by
% 196.84/33.69  | |            sub-proof #1086.
% 196.84/33.69  | | 
% 196.84/33.69  | Case 2:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (13)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.84/33.69  | |           e0)
% 196.84/33.69  | | 
% 196.84/33.69  | | BETA: splitting (13) gives:
% 196.84/33.69  | | 
% 196.84/33.69  | | Case 1:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (14)  all_56_5 = e0 & op(e2, e1) = e0
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (4), (10), (14) are inconsistent by sub-proof #1499.
% 196.84/33.69  | | | 
% 196.84/33.69  | | Case 2:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (15)  all_56_10 = e0 & op(e2, e0) = e0
% 196.84/33.69  | | | 
% 196.84/33.69  | | | ALPHA: (15) implies:
% 196.84/33.69  | | |   (16)  all_56_10 = e0
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (10), (11), (16) are inconsistent by sub-proof #1432.
% 196.84/33.69  | | | 
% 196.84/33.69  | | End of split
% 196.84/33.69  | | 
% 196.84/33.69  | End of split
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1086 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)   ~ (e3 = e2)
% 196.84/33.69    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 196.84/33.69    (3)  all_56_5 = e3
% 196.84/33.69    (4)  all_56_10 = e3
% 196.84/33.69    (5)   ~ (e1 = e0)
% 196.84/33.69    (6)  all_56_2 = e1
% 196.84/33.69    (7)   ~ (e2 = e1)
% 196.84/33.69    (8)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.84/33.69         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.84/33.69    (9)   ~ (e2 = e0)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | BETA: splitting (2) gives:
% 196.84/33.69  | 
% 196.84/33.69  | Case 1:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (10)  all_56_2 = e0 & op(e2, e3) = e0
% 196.84/33.69  | | 
% 196.84/33.69  | | ALPHA: (10) implies:
% 196.84/33.69  | |   (11)  all_56_2 = e0
% 196.84/33.69  | | 
% 196.84/33.69  | | REF_CLOSE: (5), (6), (11) are inconsistent by sub-proof #1713.
% 196.84/33.69  | | 
% 196.84/33.69  | Case 2:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (12)  all_56_3 = e0 & op(e2, e2) = e0
% 196.84/33.69  | | 
% 196.84/33.69  | | ALPHA: (12) implies:
% 196.84/33.69  | |   (13)  all_56_3 = e0
% 196.84/33.69  | | 
% 196.84/33.69  | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (13) are inconsistent by
% 196.84/33.69  | |            sub-proof #1087.
% 196.84/33.69  | | 
% 196.84/33.69  | End of split
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1087 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)  all_56_3 = e0
% 196.84/33.69    (2)   ~ (e3 = e2)
% 196.84/33.69    (3)  all_56_5 = e3
% 196.84/33.69    (4)  all_56_10 = e3
% 196.84/33.69    (5)  all_56_2 = e1
% 196.84/33.69    (6)   ~ (e2 = e1)
% 196.84/33.69    (7)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.84/33.69         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.84/33.69    (8)   ~ (e2 = e0)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | BETA: splitting (7) gives:
% 196.84/33.69  | 
% 196.84/33.69  | Case 1:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (9)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 196.84/33.69  | | 
% 196.84/33.69  | | BETA: splitting (9) gives:
% 196.84/33.69  | | 
% 196.84/33.69  | | Case 1:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (10)  all_56_2 = e2 & op(e2, e3) = e2
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (5), (6), (10) are inconsistent by sub-proof #1304.
% 196.84/33.69  | | | 
% 196.84/33.69  | | Case 2:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (11)  all_56_3 = e2 & op(e2, e2) = e2
% 196.84/33.69  | | | 
% 196.84/33.69  | | | ALPHA: (11) implies:
% 196.84/33.69  | | |   (12)  all_56_3 = e2
% 196.84/33.69  | | | 
% 196.84/33.69  | | | COMBINE_EQS: (1), (12) imply:
% 196.84/33.69  | | |   (13)  e2 = e0
% 196.84/33.69  | | | 
% 196.84/33.69  | | | SIMP: (13) implies:
% 196.84/33.69  | | |   (14)  e2 = e0
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REDUCE: (8), (14) imply:
% 196.84/33.69  | | |   (15)  $false
% 196.84/33.69  | | | 
% 196.84/33.69  | | | CLOSE: (15) is inconsistent.
% 196.84/33.69  | | | 
% 196.84/33.69  | | End of split
% 196.84/33.69  | | 
% 196.84/33.69  | Case 2:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (16)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 196.84/33.69  | |           e2)
% 196.84/33.69  | | 
% 196.84/33.69  | | BETA: splitting (16) gives:
% 196.84/33.69  | | 
% 196.84/33.69  | | Case 1:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (17)  all_56_5 = e2 & op(e2, e1) = e2
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (2), (3), (17) are inconsistent by sub-proof #1816.
% 196.84/33.69  | | | 
% 196.84/33.69  | | Case 2:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (18)  all_56_10 = e2 & op(e2, e0) = e2
% 196.84/33.69  | | | 
% 196.84/33.69  | | | ALPHA: (18) implies:
% 196.84/33.69  | | |   (19)  all_56_10 = e2
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (2), (4), (19) are inconsistent by sub-proof #1399.
% 196.84/33.69  | | | 
% 196.84/33.69  | | End of split
% 196.84/33.69  | | 
% 196.84/33.69  | End of split
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1088 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.84/33.69         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.84/33.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.84/33.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.84/33.69    (3)   ~ (all_57_2 = e0)
% 196.84/33.69    (4)  all_56_6 = e2
% 196.84/33.69    (5)  op(e3, e3) = e3
% 196.84/33.69    (6)   ~ (e1 = e0)
% 196.84/33.69    (7)  all_56_2 = e1
% 196.84/33.69    (8)  op(e0, e3) = all_57_2
% 196.84/33.69    (9)   ~ (e2 = e0)
% 196.84/33.69    (10)   ~ (e3 = e0)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | BETA: splitting (1) gives:
% 196.84/33.69  | 
% 196.84/33.69  | Case 1:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 196.84/33.69  | |           e0)
% 196.84/33.69  | | 
% 196.84/33.69  | | REF_CLOSE: (2), (5), (6), (7), (10), (11) are inconsistent by sub-proof
% 196.84/33.69  | |            #1529.
% 196.84/33.69  | | 
% 196.84/33.69  | Case 2:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 196.84/33.69  | |           e0)
% 196.84/33.69  | | 
% 196.84/33.69  | | BETA: splitting (12) gives:
% 196.84/33.69  | | 
% 196.84/33.69  | | Case 1:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (13)  all_56_6 = e0 & op(e1, e3) = e0
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (4), (9), (13) are inconsistent by sub-proof #1601.
% 196.84/33.69  | | | 
% 196.84/33.69  | | Case 2:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (14)  all_56_12 = e0 & op(e0, e3) = e0
% 196.84/33.69  | | | 
% 196.84/33.69  | | | ALPHA: (14) implies:
% 196.84/33.69  | | |   (15)  op(e0, e3) = e0
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (2), (3), (8), (15) are inconsistent by sub-proof #1526.
% 196.84/33.69  | | | 
% 196.84/33.69  | | End of split
% 196.84/33.69  | | 
% 196.84/33.69  | End of split
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1089 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)  all_54_5 = all_4_2
% 196.84/33.69    (2)  all_54_5 = e1
% 196.84/33.69    (3)   ~ (all_4_2 = e1)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | COMBINE_EQS: (1), (2) imply:
% 196.84/33.69  |   (4)  all_4_2 = e1
% 196.84/33.69  | 
% 196.84/33.69  | SIMP: (4) implies:
% 196.84/33.69  |   (5)  all_4_2 = e1
% 196.84/33.69  | 
% 196.84/33.69  | REDUCE: (3), (5) imply:
% 196.84/33.69  |   (6)  $false
% 196.84/33.69  | 
% 196.84/33.69  | CLOSE: (6) is inconsistent.
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1090 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)   ~ (all_52_11 = e1)
% 196.84/33.69    (2)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.84/33.69         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.84/33.69    (3)   ~ (e3 = e2)
% 196.84/33.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.84/33.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.84/33.69    (5)  all_56_5 = e3
% 196.84/33.69    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.84/33.69         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.84/33.69    (7)  all_56_7 = e0
% 196.84/33.69    (8)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.84/33.69         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.84/33.69    (9)   ~ (all_52_14 = e3)
% 196.84/33.69    (10)  op(e1, e0) = all_52_14
% 196.84/33.69    (11)  all_56_6 = e2
% 196.84/33.69    (12)  op(e0, e1) = all_52_11
% 196.84/33.69    (13)   ~ (e1 = e0)
% 196.84/33.69    (14)   ~ (e2 = e1)
% 196.84/33.69    (15)   ~ (e3 = e1)
% 196.84/33.69    (16)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.84/33.69          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.84/33.69    (17)   ~ (e2 = e0)
% 196.84/33.69    (18)   ~ (e3 = e0)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | BETA: splitting (16) gives:
% 196.84/33.69  | 
% 196.84/33.69  | Case 1:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (19)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 196.84/33.69  | |           e3)
% 196.84/33.69  | | 
% 196.84/33.69  | | BETA: splitting (19) gives:
% 196.84/33.69  | | 
% 196.84/33.69  | | Case 1:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (20)  all_56_6 = e3 & op(e1, e3) = e3
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (3), (11), (20) are inconsistent by sub-proof #1095.
% 196.84/33.69  | | | 
% 196.84/33.69  | | Case 2:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (21)  all_56_7 = e3 & op(e1, e2) = e3
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (7), (18), (21) are inconsistent by sub-proof #1094.
% 196.84/33.69  | | | 
% 196.84/33.69  | | End of split
% 196.84/33.69  | | 
% 196.84/33.69  | Case 2:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (22)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 196.84/33.69  | |           e3)
% 196.84/33.69  | | 
% 196.84/33.69  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (12), (13), (14),
% 196.84/33.69  | |            (15), (17), (18), (22) are inconsistent by sub-proof #1091.
% 196.84/33.69  | | 
% 196.84/33.69  | End of split
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1091 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)   ~ (all_52_11 = e1)
% 196.84/33.69    (2)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.84/33.69         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.84/33.69    (3)   ~ (e3 = e2)
% 196.84/33.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.84/33.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.84/33.69    (5)  all_56_5 = e3
% 196.84/33.69    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.84/33.69         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.84/33.69    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.84/33.69         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.84/33.69    (8)   ~ (all_52_14 = e3)
% 196.84/33.69    (9)  op(e1, e0) = all_52_14
% 196.84/33.69    (10)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.84/33.69    (11)  op(e0, e1) = all_52_11
% 196.84/33.69    (12)   ~ (e1 = e0)
% 196.84/33.69    (13)   ~ (e2 = e1)
% 196.84/33.69    (14)   ~ (e3 = e1)
% 196.84/33.69    (15)   ~ (e2 = e0)
% 196.84/33.69    (16)   ~ (e3 = e0)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | BETA: splitting (10) gives:
% 196.84/33.69  | 
% 196.84/33.69  | Case 1:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (17)  all_56_8 = e3 & op(e1, e1) = e3
% 196.84/33.69  | | 
% 196.84/33.69  | | ALPHA: (17) implies:
% 196.84/33.69  | |   (18)  op(e1, e1) = e3
% 196.84/33.69  | | 
% 196.84/33.69  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (11), (12), (13), (14), (15),
% 196.84/33.69  | |            (16), (18) are inconsistent by sub-proof #1092.
% 196.84/33.69  | | 
% 196.84/33.69  | Case 2:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (19)  all_56_11 = e3 & op(e1, e0) = e3
% 196.84/33.69  | | 
% 196.84/33.69  | | REF_CLOSE: (4), (8), (9), (19) are inconsistent by sub-proof #1407.
% 196.84/33.69  | | 
% 196.84/33.69  | End of split
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1092 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)   ~ (all_52_11 = e1)
% 196.84/33.69    (2)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.84/33.69         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.84/33.69    (3)   ~ (e3 = e2)
% 196.84/33.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.84/33.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.84/33.69    (5)  all_56_5 = e3
% 196.84/33.69    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.84/33.69         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.84/33.69    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.84/33.69         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.84/33.69    (8)  op(e0, e1) = all_52_11
% 196.84/33.69    (9)   ~ (e1 = e0)
% 196.84/33.69    (10)   ~ (e2 = e1)
% 196.84/33.69    (11)   ~ (e3 = e1)
% 196.84/33.69    (12)  op(e1, e1) = e3
% 196.84/33.69    (13)   ~ (e2 = e0)
% 196.84/33.69    (14)   ~ (e3 = e0)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | BETA: splitting (7) gives:
% 196.84/33.69  | 
% 196.84/33.69  | Case 1:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (15)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 196.84/33.69  | |           e1)
% 196.84/33.69  | | 
% 196.84/33.69  | | BETA: splitting (15) gives:
% 196.84/33.69  | | 
% 196.84/33.69  | | Case 1:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (16)  all_56_4 = e1 & op(e3, e1) = e1
% 196.84/33.69  | | | 
% 196.84/33.69  | | | ALPHA: (16) implies:
% 196.84/33.69  | | |   (17)  all_56_4 = e1
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (2), (3), (4), (5), (6), (9), (10), (12), (13), (14), (17) are
% 196.84/33.69  | | |            inconsistent by sub-proof #1093.
% 196.84/33.69  | | | 
% 196.84/33.69  | | Case 2:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (18)  all_56_5 = e1 & op(e2, e1) = e1
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (5), (11), (18) are inconsistent by sub-proof #1749.
% 196.84/33.69  | | | 
% 196.84/33.69  | | End of split
% 196.84/33.69  | | 
% 196.84/33.69  | Case 2:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (19)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 196.84/33.69  | |           e1)
% 196.84/33.69  | | 
% 196.84/33.69  | | REF_CLOSE: (1), (4), (8), (11), (12), (19) are inconsistent by sub-proof
% 196.84/33.69  | |            #1235.
% 196.84/33.69  | | 
% 196.84/33.69  | End of split
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1093 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.84/33.69         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.84/33.69    (2)   ~ (e3 = e2)
% 196.84/33.69    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.84/33.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.84/33.69    (4)  all_56_5 = e3
% 196.84/33.69    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.84/33.69         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.84/33.69    (6)  all_56_4 = e1
% 196.84/33.69    (7)   ~ (e1 = e0)
% 196.84/33.69    (8)   ~ (e2 = e1)
% 196.84/33.69    (9)  op(e1, e1) = e3
% 196.84/33.69    (10)   ~ (e2 = e0)
% 196.84/33.69    (11)   ~ (e3 = e0)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | BETA: splitting (5) gives:
% 196.84/33.69  | 
% 196.84/33.69  | Case 1:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 196.84/33.69  | |           e2)
% 196.84/33.69  | | 
% 196.84/33.69  | | REF_CLOSE: (2), (4), (6), (8), (12) are inconsistent by sub-proof #1750.
% 196.84/33.69  | | 
% 196.84/33.69  | Case 2:
% 196.84/33.69  | | 
% 196.84/33.69  | |   (13)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 196.84/33.69  | |           e2)
% 196.84/33.69  | | 
% 196.84/33.69  | | BETA: splitting (13) gives:
% 196.84/33.69  | | 
% 196.84/33.69  | | Case 1:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (14)  all_56_8 = e2 & op(e1, e1) = e2
% 196.84/33.69  | | | 
% 196.84/33.69  | | | ALPHA: (14) implies:
% 196.84/33.69  | | |   (15)  op(e1, e1) = e2
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (2), (3), (9), (15) are inconsistent by sub-proof #1777.
% 196.84/33.69  | | | 
% 196.84/33.69  | | Case 2:
% 196.84/33.69  | | | 
% 196.84/33.69  | | |   (16)  all_56_14 = e2 & op(e0, e1) = e2
% 196.84/33.69  | | | 
% 196.84/33.69  | | | ALPHA: (16) implies:
% 196.84/33.69  | | |   (17)  all_56_14 = e2
% 196.84/33.69  | | | 
% 196.84/33.69  | | | REF_CLOSE: (1), (3), (4), (6), (7), (9), (10), (11), (17) are inconsistent
% 196.84/33.69  | | |            by sub-proof #1497.
% 196.84/33.69  | | | 
% 196.84/33.69  | | End of split
% 196.84/33.69  | | 
% 196.84/33.69  | End of split
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1094 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)  all_56_7 = e3 & op(e1, e2) = e3
% 196.84/33.69    (2)  all_56_7 = e0
% 196.84/33.69    (3)   ~ (e3 = e0)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | ALPHA: (1) implies:
% 196.84/33.69  |   (4)  all_56_7 = e3
% 196.84/33.69  | 
% 196.84/33.69  | COMBINE_EQS: (2), (4) imply:
% 196.84/33.69  |   (5)  e3 = e0
% 196.84/33.69  | 
% 196.84/33.69  | REDUCE: (3), (5) imply:
% 196.84/33.69  |   (6)  $false
% 196.84/33.69  | 
% 196.84/33.69  | CLOSE: (6) is inconsistent.
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1095 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)  all_56_6 = e3 & op(e1, e3) = e3
% 196.84/33.69    (2)  all_56_6 = e2
% 196.84/33.69    (3)   ~ (e3 = e2)
% 196.84/33.69  
% 196.84/33.69  Begin of proof
% 196.84/33.69  | 
% 196.84/33.69  | ALPHA: (1) implies:
% 196.84/33.69  |   (4)  all_56_6 = e3
% 196.84/33.69  | 
% 196.84/33.69  | COMBINE_EQS: (2), (4) imply:
% 196.84/33.69  |   (5)  e3 = e2
% 196.84/33.69  | 
% 196.84/33.69  | REDUCE: (3), (5) imply:
% 196.84/33.69  |   (6)  $false
% 196.84/33.69  | 
% 196.84/33.69  | CLOSE: (6) is inconsistent.
% 196.84/33.69  | 
% 196.84/33.69  End of proof
% 196.84/33.69  
% 196.84/33.69  Sub-proof #1096 shows that the following formulas are inconsistent:
% 196.84/33.69  ----------------------------------------------------------------
% 196.84/33.69    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.84/33.69         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.84/33.69    (2)   ~ (all_52_4 = e3)
% 196.84/33.69    (3)  op(e1, e1) = e1
% 196.84/33.69    (4)  op(e1, e2) = all_52_6
% 196.84/33.69    (5)   ~ (all_52_3 = e2)
% 196.84/33.69    (6)   ~ (all_52_7 = all_4_2)
% 196.84/33.69    (7)   ~ (all_52_3 = e3)
% 196.84/33.69    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.84/33.69         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.84/33.69    (9)  all_56_10 = e1
% 196.84/33.69    (10)   ~ (e3 = e2)
% 196.84/33.69    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.84/33.69            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.84/33.69    (12)  all_56_5 = e3
% 196.84/33.69    (13)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.84/33.69    (14)   ~ (all_52_3 = all_52_7)
% 196.84/33.69    (15)  all_54_12 = all_52_3
% 196.84/33.69    (16)  all_54_13 = all_52_7
% 196.84/33.69    (17)  all_56_11 = e2
% 196.84/33.69    (18)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.84/33.69            all_57_8 & $i(all_57_8))
% 196.84/33.69    (19)   ~ (all_52_4 = all_52_7)
% 196.84/33.69    (20)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.84/33.69          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.84/33.69    (21)  op(e0, e1) = all_57_8
% 196.84/33.69    (22)  all_56_15 = e3
% 196.84/33.69    (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.84/33.69          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.84/33.70    (24)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.84/33.70          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.84/33.70    (25)   ~ (all_52_4 = all_4_2)
% 196.84/33.70    (26)  all_54_5 = e1 | all_54_5 = e0
% 196.84/33.70    (27)  op(e3, e3) = e3
% 196.84/33.70    (28)  all_56_7 = e3
% 196.84/33.70    (29)   ~ (all_4_2 = e1)
% 196.84/33.70    (30)   ~ (e1 = e0)
% 196.84/33.70    (31)  all_54_5 = all_4_2
% 196.84/33.70    (32)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.84/33.70    (33)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.84/33.70              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.84/33.70                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.84/33.70                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.84/33.70    (34)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.84/33.70    (35)   ~ (all_52_3 = e0)
% 196.84/33.70    (36)   ~ (all_52_7 = e3)
% 196.84/33.70    (37)  op(e0, e0) = e3
% 196.84/33.70    (38)  op(e2, e2) = e0
% 196.84/33.70    (39)  all_54_1 = all_52_4
% 196.84/33.70    (40)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.84/33.70          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.84/33.70    (41)   ~ (all_52_6 = e1)
% 196.84/33.70    (42)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.84/33.70          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.84/33.70    (43)  op(e0, e2) = all_52_7
% 196.84/33.70    (44)   ~ (e2 = e0)
% 196.84/33.70    (45)   ~ (e3 = e0)
% 196.84/33.70  
% 196.84/33.70  Begin of proof
% 196.84/33.70  | 
% 196.84/33.70  | BETA: splitting (33) gives:
% 196.84/33.70  | 
% 196.84/33.70  | Case 1:
% 196.84/33.70  | | 
% 196.84/33.70  | |   (46)  all_56_15 = e0 & op(e0, e0) = e0
% 196.84/33.70  | | 
% 196.84/33.70  | | REF_CLOSE: (22), (45), (46) are inconsistent by sub-proof #1115.
% 196.84/33.70  | | 
% 196.84/33.70  | Case 2:
% 196.84/33.70  | | 
% 196.84/33.70  | |   (47)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.84/33.70  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 196.84/33.70  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.84/33.70  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.84/33.70  | | 
% 196.84/33.70  | | ALPHA: (47) implies:
% 196.84/33.70  | |   (48)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.84/33.70  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.84/33.70  | | 
% 196.84/33.70  | | BETA: splitting (48) gives:
% 196.84/33.70  | | 
% 196.84/33.70  | | Case 1:
% 196.84/33.70  | | | 
% 196.84/33.70  | | |   (49)  all_56_9 = e0 & op(e3, e0) = e0
% 196.84/33.70  | | | 
% 196.84/33.70  | | | ALPHA: (49) implies:
% 196.84/33.70  | | |   (50)  all_56_9 = e0
% 196.84/33.70  | | | 
% 196.84/33.70  | | | BETA: splitting (20) gives:
% 196.84/33.70  | | | 
% 196.84/33.70  | | | Case 1:
% 196.84/33.70  | | | | 
% 196.84/33.70  | | | |   (51)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2)
% 196.84/33.70  | | | |           = e0)
% 196.84/33.70  | | | | 
% 196.84/33.70  | | | | BETA: splitting (51) gives:
% 196.84/33.70  | | | | 
% 196.84/33.70  | | | | Case 1:
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | |   (52)  all_56_6 = e0 & op(e1, e3) = e0
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | | ALPHA: (52) implies:
% 196.84/33.70  | | | | |   (53)  all_56_6 = e0
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | | BETA: splitting (13) gives:
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | | Case 1:
% 196.84/33.70  | | | | | | 
% 196.84/33.70  | | | | | |   (54)  all_54_12 = e3
% 196.84/33.70  | | | | | | 
% 196.84/33.70  | | | | | | REF_CLOSE: (7), (15), (54) are inconsistent by sub-proof #1466.
% 196.84/33.70  | | | | | | 
% 196.84/33.70  | | | | | Case 2:
% 196.84/33.70  | | | | | | 
% 196.84/33.70  | | | | | |   (55)   ~ (all_54_12 = e3)
% 196.84/33.70  | | | | | |   (56)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 196.84/33.70  | | | | | | 
% 196.84/33.70  | | | | | | BETA: splitting (56) gives:
% 196.84/33.70  | | | | | | 
% 196.84/33.70  | | | | | | Case 1:
% 196.84/33.70  | | | | | | | 
% 196.84/33.70  | | | | | | |   (57)  all_54_12 = e2
% 196.84/33.70  | | | | | | | 
% 196.84/33.70  | | | | | | | REF_CLOSE: (5), (15), (57) are inconsistent by sub-proof #1465.
% 196.84/33.70  | | | | | | | 
% 196.84/33.70  | | | | | | Case 2:
% 196.84/33.70  | | | | | | | 
% 196.84/33.70  | | | | | | |   (58)   ~ (all_54_12 = e2)
% 196.84/33.70  | | | | | | |   (59)  all_54_12 = e1 | all_54_12 = e0
% 196.84/33.70  | | | | | | | 
% 196.84/33.70  | | | | | | | BETA: splitting (59) gives:
% 196.84/33.70  | | | | | | | 
% 196.84/33.70  | | | | | | | Case 1:
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | |   (60)  all_54_12 = e1
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | | COMBINE_EQS: (15), (60) imply:
% 196.84/33.70  | | | | | | | |   (61)  all_52_3 = e1
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | | SIMP: (61) implies:
% 196.84/33.70  | | | | | | | |   (62)  all_52_3 = e1
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | | REDUCE: (14), (62) imply:
% 196.84/33.70  | | | | | | | |   (63)   ~ (all_52_7 = e1)
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | | SIMP: (63) implies:
% 196.84/33.70  | | | | | | | |   (64)   ~ (all_52_7 = e1)
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | | REDUCE: (7), (62) imply:
% 196.84/33.70  | | | | | | | |   (65)   ~ (e3 = e1)
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | | SIMP: (65) implies:
% 196.84/33.70  | | | | | | | |   (66)   ~ (e3 = e1)
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | | REDUCE: (5), (62) imply:
% 196.84/33.70  | | | | | | | |   (67)   ~ (e2 = e1)
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | | SIMP: (67) implies:
% 196.84/33.70  | | | | | | | |   (68)   ~ (e2 = e1)
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | | REF_CLOSE: (1), (2), (4), (6), (8), (10), (11), (12), (16),
% 196.84/33.70  | | | | | | | |            (18), (19), (21), (23), (24), (25), (26), (27), (28),
% 196.84/33.70  | | | | | | | |            (29), (30), (31), (32), (34), (36), (37), (38), (39),
% 196.84/33.70  | | | | | | | |            (40), (41), (42), (43), (44), (45), (50), (53), (64),
% 196.84/33.70  | | | | | | | |            (66), (68) are inconsistent by sub-proof #1100.
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | Case 2:
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | |   (69)  all_54_12 = e0
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | | REF_CLOSE: (15), (35), (69) are inconsistent by sub-proof #1098.
% 196.84/33.70  | | | | | | | | 
% 196.84/33.70  | | | | | | | End of split
% 196.84/33.70  | | | | | | | 
% 196.84/33.70  | | | | | | End of split
% 196.84/33.70  | | | | | | 
% 196.84/33.70  | | | | | End of split
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | Case 2:
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | |   (70)  all_56_7 = e0 & op(e1, e2) = e0
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | | REF_CLOSE: (28), (45), (70) are inconsistent by sub-proof #1775.
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | End of split
% 196.84/33.70  | | | | 
% 196.84/33.70  | | | Case 2:
% 196.84/33.70  | | | | 
% 196.84/33.70  | | | |   (71)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.84/33.70  | | | |           = e0)
% 196.84/33.70  | | | | 
% 196.84/33.70  | | | | BETA: splitting (71) gives:
% 196.84/33.70  | | | | 
% 196.84/33.70  | | | | Case 1:
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | |   (72)  all_56_8 = e0 & op(e1, e1) = e0
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | | ALPHA: (72) implies:
% 196.84/33.70  | | | | |   (73)  op(e1, e1) = e0
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | | REF_CLOSE: (3), (11), (30), (73) are inconsistent by sub-proof #1959.
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | Case 2:
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | |   (74)  all_56_11 = e0 & op(e1, e0) = e0
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | | ALPHA: (74) implies:
% 196.84/33.70  | | | | |   (75)  all_56_11 = e0
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | | REF_CLOSE: (17), (44), (75) are inconsistent by sub-proof #1227.
% 196.84/33.70  | | | | | 
% 196.84/33.70  | | | | End of split
% 196.84/33.70  | | | | 
% 196.84/33.70  | | | End of split
% 196.84/33.70  | | | 
% 196.84/33.70  | | Case 2:
% 196.84/33.70  | | | 
% 196.84/33.70  | | |   (76)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.84/33.70  | | |           = e0)
% 196.84/33.70  | | | 
% 196.84/33.70  | | | REF_CLOSE: (9), (17), (30), (44), (76) are inconsistent by sub-proof
% 196.84/33.70  | | |            #1097.
% 196.84/33.70  | | | 
% 196.84/33.70  | | End of split
% 196.84/33.70  | | 
% 196.84/33.70  | End of split
% 196.84/33.70  | 
% 196.84/33.70  End of proof
% 196.84/33.70  
% 196.84/33.70  Sub-proof #1097 shows that the following formulas are inconsistent:
% 196.84/33.70  ----------------------------------------------------------------
% 196.84/33.70    (1)  all_56_10 = e1
% 196.84/33.70    (2)  all_56_11 = e2
% 196.84/33.70    (3)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.84/33.70    (4)   ~ (e1 = e0)
% 196.84/33.70    (5)   ~ (e2 = e0)
% 196.84/33.70  
% 196.84/33.70  Begin of proof
% 196.84/33.70  | 
% 196.84/33.70  | BETA: splitting (3) gives:
% 196.84/33.70  | 
% 196.84/33.70  | Case 1:
% 196.84/33.70  | | 
% 196.84/33.70  | |   (6)  all_56_10 = e0 & op(e2, e0) = e0
% 196.84/33.70  | | 
% 196.84/33.70  | | ALPHA: (6) implies:
% 196.84/33.70  | |   (7)  all_56_10 = e0
% 196.84/33.70  | | 
% 196.84/33.70  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #1411.
% 196.84/33.70  | | 
% 196.84/33.70  | Case 2:
% 196.84/33.70  | | 
% 196.84/33.70  | |   (8)  all_56_11 = e0 & op(e1, e0) = e0
% 196.84/33.70  | | 
% 196.84/33.70  | | ALPHA: (8) implies:
% 196.84/33.70  | |   (9)  all_56_11 = e0
% 196.84/33.70  | | 
% 196.84/33.70  | | REF_CLOSE: (2), (5), (9) are inconsistent by sub-proof #1227.
% 196.84/33.70  | | 
% 196.84/33.70  | End of split
% 196.84/33.70  | 
% 196.84/33.70  End of proof
% 196.84/33.70  
% 196.84/33.70  Sub-proof #1098 shows that the following formulas are inconsistent:
% 196.84/33.70  ----------------------------------------------------------------
% 196.84/33.70    (1)  all_54_12 = all_52_3
% 196.84/33.70    (2)  all_54_12 = e0
% 196.84/33.70    (3)   ~ (all_52_3 = e0)
% 196.84/33.70  
% 196.84/33.70  Begin of proof
% 196.84/33.70  | 
% 196.84/33.70  | COMBINE_EQS: (1), (2) imply:
% 196.84/33.70  |   (4)  all_52_3 = e0
% 196.84/33.70  | 
% 196.84/33.70  | SIMP: (4) implies:
% 196.84/33.70  |   (5)  all_52_3 = e0
% 196.84/33.70  | 
% 196.84/33.70  | REDUCE: (3), (5) imply:
% 196.84/33.70  |   (6)  $false
% 196.84/33.70  | 
% 196.84/33.70  | CLOSE: (6) is inconsistent.
% 196.84/33.70  | 
% 196.84/33.70  End of proof
% 196.84/33.70  
% 196.84/33.70  Sub-proof #1099 shows that the following formulas are inconsistent:
% 196.84/33.70  ----------------------------------------------------------------
% 196.84/33.70    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.84/33.70         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.84/33.70    (2)   ~ (all_52_4 = e3)
% 196.84/33.70    (3)  op(e1, e2) = all_52_6
% 196.84/33.70    (4)   ~ (all_52_7 = all_4_2)
% 196.84/33.70    (5)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.84/33.70         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.84/33.70    (6)  all_56_9 = e2
% 196.84/33.70    (7)   ~ (e3 = e2)
% 196.84/33.70    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.84/33.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.84/33.70    (9)  all_56_5 = e3
% 196.84/33.70    (10)  all_54_13 = all_52_7
% 196.84/33.70    (11)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.84/33.70            all_57_8 & $i(all_57_8))
% 196.84/33.70    (12)   ~ (all_52_4 = all_52_7)
% 196.84/33.70    (13)  op(e0, e1) = all_57_8
% 196.84/33.70    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.84/33.70          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.84/33.70    (15)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.84/33.70          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.84/33.70    (16)  all_56_6 = e2
% 196.84/33.70    (17)   ~ (all_52_7 = e1)
% 196.84/33.70    (18)   ~ (all_52_4 = all_4_2)
% 196.84/33.70    (19)  all_54_5 = e1 | all_54_5 = e0
% 196.84/33.70    (20)  op(e3, e3) = e3
% 196.84/33.70    (21)  all_56_7 = e3
% 196.84/33.70    (22)   ~ (all_4_2 = e1)
% 196.84/33.70    (23)   ~ (e1 = e0)
% 196.84/33.70    (24)  all_54_5 = all_4_2
% 196.84/33.70    (25)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.84/33.70    (26)   ~ (e2 = e1)
% 196.84/33.70    (27)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.84/33.70    (28)   ~ (all_52_7 = e3)
% 196.84/33.70    (29)  op(e0, e0) = e3
% 196.84/33.70    (30)  op(e2, e2) = e0
% 196.84/33.70    (31)   ~ (e3 = e1)
% 196.84/33.70    (32)  all_54_1 = all_52_4
% 196.84/33.70    (33)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.84/33.70          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.84/33.70    (34)   ~ (all_52_6 = e1)
% 196.84/33.70    (35)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.84/33.70          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.84/33.70    (36)  op(e0, e2) = all_52_7
% 196.84/33.70    (37)   ~ (e2 = e0)
% 196.84/33.70    (38)  e2 = e0
% 196.84/33.70    (39)   ~ (e3 = e0)
% 196.84/33.70  
% 196.84/33.70  Begin of proof
% 196.84/33.70  | 
% 196.84/33.70  | COMBINE_EQS: (6), (38) imply:
% 196.84/33.70  |   (40)  all_56_9 = e0
% 196.84/33.70  | 
% 196.84/33.70  | COMBINE_EQS: (16), (38) imply:
% 196.84/33.70  |   (41)  all_56_6 = e0
% 196.84/33.70  | 
% 196.84/33.70  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 196.84/33.70  |            (14), (15), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 196.84/33.70  |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 196.84/33.70  |            (37), (39), (40), (41) are inconsistent by sub-proof #1100.
% 196.84/33.70  | 
% 196.84/33.70  End of proof
% 196.84/33.70  
% 196.84/33.70  Sub-proof #1100 shows that the following formulas are inconsistent:
% 196.84/33.70  ----------------------------------------------------------------
% 196.84/33.70    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.84/33.70         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.84/33.70    (2)   ~ (all_52_4 = e3)
% 196.84/33.70    (3)  op(e1, e2) = all_52_6
% 196.84/33.70    (4)   ~ (all_52_7 = all_4_2)
% 196.84/33.70    (5)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.84/33.70         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.84/33.70    (6)   ~ (e3 = e2)
% 196.84/33.70    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.84/33.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.84/33.70    (8)  all_56_5 = e3
% 196.84/33.70    (9)  all_54_13 = all_52_7
% 196.84/33.70    (10)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.84/33.70            all_57_8 & $i(all_57_8))
% 196.84/33.70    (11)   ~ (all_52_4 = all_52_7)
% 196.84/33.70    (12)  all_56_9 = e0
% 196.84/33.70    (13)  op(e0, e1) = all_57_8
% 196.84/33.70    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.84/33.70          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.84/33.70    (15)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.84/33.70          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.84/33.70    (16)  all_56_6 = e0
% 196.84/33.70    (17)   ~ (all_52_7 = e1)
% 196.84/33.70    (18)   ~ (all_52_4 = all_4_2)
% 196.84/33.70    (19)  all_54_5 = e1 | all_54_5 = e0
% 196.84/33.70    (20)  op(e3, e3) = e3
% 196.84/33.70    (21)  all_56_7 = e3
% 196.86/33.70    (22)   ~ (all_4_2 = e1)
% 196.86/33.70    (23)   ~ (e1 = e0)
% 196.86/33.70    (24)  all_54_5 = all_4_2
% 196.86/33.70    (25)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.86/33.70    (26)   ~ (e2 = e1)
% 196.86/33.70    (27)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.86/33.70    (28)   ~ (all_52_7 = e3)
% 196.86/33.70    (29)  op(e0, e0) = e3
% 196.86/33.70    (30)  op(e2, e2) = e0
% 196.86/33.70    (31)   ~ (e3 = e1)
% 196.86/33.70    (32)  all_54_1 = all_52_4
% 196.86/33.70    (33)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.86/33.70          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.86/33.70    (34)   ~ (all_52_6 = e1)
% 196.86/33.70    (35)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.86/33.70          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.86/33.70    (36)  op(e0, e2) = all_52_7
% 196.86/33.70    (37)   ~ (e2 = e0)
% 196.86/33.70    (38)   ~ (e3 = e0)
% 196.86/33.70  
% 196.86/33.70  Begin of proof
% 196.86/33.70  | 
% 196.86/33.70  | BETA: splitting (1) gives:
% 196.86/33.70  | 
% 196.86/33.70  | Case 1:
% 196.86/33.70  | | 
% 196.86/33.70  | |   (39)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 196.86/33.70  | |           e1)
% 196.86/33.70  | | 
% 196.86/33.70  | | BETA: splitting (39) gives:
% 196.86/33.70  | | 
% 196.86/33.70  | | Case 1:
% 196.86/33.70  | | | 
% 196.86/33.70  | | |   (40)  all_56_1 = e1 & op(e3, e2) = e1
% 196.86/33.70  | | | 
% 196.86/33.70  | | | ALPHA: (40) implies:
% 196.86/33.70  | | |   (41)  all_56_1 = e1
% 196.86/33.70  | | | 
% 196.86/33.70  | | | BETA: splitting (14) gives:
% 196.86/33.70  | | | 
% 196.86/33.70  | | | Case 1:
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | |   (42)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2)
% 196.86/33.70  | | | |           = e2)
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | | BETA: splitting (42) gives:
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | | Case 1:
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | |   (43)  all_56_0 = e2 & op(e3, e3) = e2
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | ALPHA: (43) implies:
% 196.86/33.70  | | | | |   (44)  op(e3, e3) = e2
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | REF_CLOSE: (6), (7), (20), (44) are inconsistent by sub-proof #1957.
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | Case 2:
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | |   (45)  all_56_1 = e2 & op(e3, e2) = e2
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | REF_CLOSE: (26), (41), (45) are inconsistent by sub-proof #1105.
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | End of split
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | Case 2:
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | |   (46)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0)
% 196.86/33.70  | | | |           = e2)
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | | BETA: splitting (46) gives:
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | | Case 1:
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | |   (47)  all_56_4 = e2 & op(e3, e1) = e2
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | ALPHA: (47) implies:
% 196.86/33.70  | | | | |   (48)  all_56_4 = e2
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | BETA: splitting (5) gives:
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | Case 1:
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | |   (49)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2,
% 196.86/33.70  | | | | | |             e1) = e0)
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | BETA: splitting (49) gives:
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | Case 1:
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | |   (50)  all_56_4 = e0 & op(e3, e1) = e0
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | | REF_CLOSE: (37), (48), (50) are inconsistent by sub-proof #1876.
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | Case 2:
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | |   (51)  all_56_5 = e0 & op(e2, e1) = e0
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | | REF_CLOSE: (8), (38), (51) are inconsistent by sub-proof #1499.
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | End of split
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | Case 2:
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | |   (52)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0,
% 196.86/33.70  | | | | | |             e1) = e0)
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | BETA: splitting (52) gives:
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | Case 1:
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | |   (53)  all_56_8 = e0 & op(e1, e1) = e0
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | | ALPHA: (53) implies:
% 196.86/33.70  | | | | | | |   (54)  op(e1, e1) = e0
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | | REF_CLOSE: (6), (7), (15), (16), (21), (23), (26), (31), (33),
% 196.86/33.70  | | | | | | |            (35), (37), (38), (54) are inconsistent by sub-proof
% 196.86/33.70  | | | | | | |            #1104.
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | Case 2:
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | |   (55)  all_56_14 = e0 & op(e0, e1) = e0
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | | ALPHA: (55) implies:
% 196.86/33.70  | | | | | | |   (56)  op(e0, e1) = e0
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | | BETA: splitting (19) gives:
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | | Case 1:
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | |   (57)  all_54_5 = e1
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | | COMBINE_EQS: (24), (57) imply:
% 196.86/33.70  | | | | | | | |   (58)  all_4_2 = e1
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | | REDUCE: (22), (58) imply:
% 196.86/33.70  | | | | | | | |   (59)  $false
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | | CLOSE: (59) is inconsistent.
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | Case 2:
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | |   (60)  all_54_5 = e0
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | | COMBINE_EQS: (24), (60) imply:
% 196.86/33.70  | | | | | | | |   (61)  all_4_2 = e0
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | | REDUCE: (18), (61) imply:
% 196.86/33.70  | | | | | | | |   (62)   ~ (all_52_4 = e0)
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | | REDUCE: (4), (61) imply:
% 196.86/33.70  | | | | | | | |   (63)   ~ (all_52_7 = e0)
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | | REF_CLOSE: (2), (7), (9), (10), (11), (13), (17), (25), (27),
% 196.86/33.70  | | | | | | | |            (28), (29), (32), (56), (62), (63) are inconsistent
% 196.86/33.70  | | | | | | | |            by sub-proof #1103.
% 196.86/33.70  | | | | | | | | 
% 196.86/33.70  | | | | | | | End of split
% 196.86/33.70  | | | | | | | 
% 196.86/33.70  | | | | | | End of split
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | End of split
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | Case 2:
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | |   (64)  all_56_9 = e2 & op(e3, e0) = e2
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | REF_CLOSE: (12), (37), (64) are inconsistent by sub-proof #1102.
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | End of split
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | End of split
% 196.86/33.70  | | | 
% 196.86/33.70  | | Case 2:
% 196.86/33.70  | | | 
% 196.86/33.70  | | |   (65)  all_56_3 = e1 & op(e2, e2) = e1
% 196.86/33.70  | | | 
% 196.86/33.70  | | | ALPHA: (65) implies:
% 196.86/33.70  | | |   (66)  op(e2, e2) = e1
% 196.86/33.70  | | | 
% 196.86/33.70  | | | REF_CLOSE: (7), (23), (30), (66) are inconsistent by sub-proof #1909.
% 196.86/33.70  | | | 
% 196.86/33.70  | | End of split
% 196.86/33.70  | | 
% 196.86/33.70  | Case 2:
% 196.86/33.70  | | 
% 196.86/33.70  | |   (67)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 196.86/33.70  | |           e1)
% 196.86/33.70  | | 
% 196.86/33.70  | | REF_CLOSE: (3), (7), (17), (34), (36), (67) are inconsistent by sub-proof
% 196.86/33.70  | |            #1101.
% 196.86/33.70  | | 
% 196.86/33.70  | End of split
% 196.86/33.70  | 
% 196.86/33.70  End of proof
% 196.86/33.70  
% 196.86/33.70  Sub-proof #1101 shows that the following formulas are inconsistent:
% 196.86/33.70  ----------------------------------------------------------------
% 196.86/33.70    (1)  op(e1, e2) = all_52_6
% 196.86/33.70    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.86/33.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.86/33.70    (3)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.86/33.70    (4)   ~ (all_52_7 = e1)
% 196.86/33.70    (5)   ~ (all_52_6 = e1)
% 196.86/33.70    (6)  op(e0, e2) = all_52_7
% 196.86/33.70  
% 196.86/33.70  Begin of proof
% 196.86/33.70  | 
% 196.86/33.70  | BETA: splitting (3) gives:
% 196.86/33.70  | 
% 196.86/33.70  | Case 1:
% 196.86/33.70  | | 
% 196.86/33.70  | |   (7)  all_56_7 = e1 & op(e1, e2) = e1
% 196.86/33.70  | | 
% 196.86/33.70  | | ALPHA: (7) implies:
% 196.86/33.70  | |   (8)  op(e1, e2) = e1
% 196.86/33.70  | | 
% 196.86/33.70  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1970.
% 196.86/33.70  | | 
% 196.86/33.70  | Case 2:
% 196.86/33.70  | | 
% 196.86/33.70  | |   (9)  all_56_13 = e1 & op(e0, e2) = e1
% 196.86/33.70  | | 
% 196.86/33.70  | | ALPHA: (9) implies:
% 196.86/33.70  | |   (10)  op(e0, e2) = e1
% 196.86/33.70  | | 
% 196.86/33.70  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1649.
% 196.86/33.70  | | 
% 196.86/33.70  | End of split
% 196.86/33.70  | 
% 196.86/33.70  End of proof
% 196.86/33.70  
% 196.86/33.70  Sub-proof #1102 shows that the following formulas are inconsistent:
% 196.86/33.70  ----------------------------------------------------------------
% 196.86/33.70    (1)  all_56_9 = e2 & op(e3, e0) = e2
% 196.86/33.70    (2)  all_56_9 = e0
% 196.86/33.70    (3)   ~ (e2 = e0)
% 196.86/33.70  
% 196.86/33.70  Begin of proof
% 196.86/33.70  | 
% 196.86/33.70  | ALPHA: (1) implies:
% 196.86/33.70  |   (4)  all_56_9 = e2
% 196.86/33.70  | 
% 196.86/33.70  | COMBINE_EQS: (2), (4) imply:
% 196.86/33.70  |   (5)  e2 = e0
% 196.86/33.70  | 
% 196.86/33.70  | REDUCE: (3), (5) imply:
% 196.86/33.70  |   (6)  $false
% 196.86/33.70  | 
% 196.86/33.70  | CLOSE: (6) is inconsistent.
% 196.86/33.70  | 
% 196.86/33.70  End of proof
% 196.86/33.70  
% 196.86/33.70  Sub-proof #1103 shows that the following formulas are inconsistent:
% 196.86/33.70  ----------------------------------------------------------------
% 196.86/33.70    (1)   ~ (all_52_4 = e3)
% 196.86/33.70    (2)   ~ (all_52_7 = e0)
% 196.86/33.70    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.86/33.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.86/33.70    (4)  all_54_13 = all_52_7
% 196.86/33.70    (5)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.86/33.70           all_57_8 & $i(all_57_8))
% 196.86/33.70    (6)   ~ (all_52_4 = all_52_7)
% 196.86/33.70    (7)   ~ (all_52_4 = e0)
% 196.86/33.70    (8)  op(e0, e1) = all_57_8
% 196.86/33.70    (9)  op(e0, e1) = e0
% 196.86/33.70    (10)   ~ (all_52_7 = e1)
% 196.86/33.70    (11)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.86/33.70    (12)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.86/33.70    (13)   ~ (all_52_7 = e3)
% 196.86/33.70    (14)  op(e0, e0) = e3
% 196.86/33.70    (15)  all_54_1 = all_52_4
% 196.86/33.70  
% 196.86/33.70  Begin of proof
% 196.86/33.70  | 
% 196.86/33.70  | BETA: splitting (11) gives:
% 196.86/33.70  | 
% 196.86/33.70  | Case 1:
% 196.86/33.70  | | 
% 196.86/33.70  | |   (16)  all_54_13 = e3
% 196.86/33.70  | | 
% 196.86/33.70  | | REF_CLOSE: (4), (13), (16) are inconsistent by sub-proof #1445.
% 196.86/33.70  | | 
% 196.86/33.70  | Case 2:
% 196.86/33.70  | | 
% 196.86/33.70  | |   (17)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 196.86/33.70  | | 
% 196.86/33.70  | | BETA: splitting (17) gives:
% 196.86/33.70  | | 
% 196.86/33.70  | | Case 1:
% 196.86/33.70  | | | 
% 196.86/33.70  | | |   (18)  all_54_13 = e2
% 196.86/33.70  | | | 
% 196.86/33.70  | | | COMBINE_EQS: (4), (18) imply:
% 196.86/33.70  | | |   (19)  all_52_7 = e2
% 196.86/33.70  | | | 
% 196.86/33.70  | | | SIMP: (19) implies:
% 196.86/33.70  | | |   (20)  all_52_7 = e2
% 196.86/33.70  | | | 
% 196.86/33.70  | | | REDUCE: (6), (20) imply:
% 196.86/33.70  | | |   (21)   ~ (all_52_4 = e2)
% 196.86/33.70  | | | 
% 196.86/33.70  | | | BETA: splitting (12) gives:
% 196.86/33.70  | | | 
% 196.86/33.70  | | | Case 1:
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | |   (22)  all_54_1 = e3
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | | COMBINE_EQS: (15), (22) imply:
% 196.86/33.70  | | | |   (23)  all_52_4 = e3
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | | REDUCE: (1), (23) imply:
% 196.86/33.70  | | | |   (24)  $false
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | | CLOSE: (24) is inconsistent.
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | Case 2:
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | |   (25)   ~ (all_54_1 = e3)
% 196.86/33.70  | | | |   (26)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | | BETA: splitting (26) gives:
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | | Case 1:
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | |   (27)  all_54_1 = e2
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | COMBINE_EQS: (15), (27) imply:
% 196.86/33.70  | | | | |   (28)  all_52_4 = e2
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | REDUCE: (21), (28) imply:
% 196.86/33.70  | | | | |   (29)  $false
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | CLOSE: (29) is inconsistent.
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | Case 2:
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | |   (30)  all_54_1 = e1 | all_54_1 = e0
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | BETA: splitting (30) gives:
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | | Case 1:
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | |   (31)  all_54_1 = e1
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | COMBINE_EQS: (15), (31) imply:
% 196.86/33.70  | | | | | |   (32)  all_52_4 = e1
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | REDUCE: (1), (32) imply:
% 196.86/33.70  | | | | | |   (33)   ~ (e3 = e1)
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | SIMP: (33) implies:
% 196.86/33.70  | | | | | |   (34)   ~ (e3 = e1)
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | GROUND_INST: instantiating (3) with e0, all_57_8, e1, e0,
% 196.86/33.70  | | | | | |              simplifying with (8), (9) gives:
% 196.86/33.70  | | | | | |   (35)  all_57_8 = e0
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | REF_CLOSE: (3), (5), (14), (34), (35) are inconsistent by sub-proof
% 196.86/33.70  | | | | | |            #1184.
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | Case 2:
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | |   (36)  all_54_1 = e0
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | COMBINE_EQS: (15), (36) imply:
% 196.86/33.70  | | | | | |   (37)  all_52_4 = e0
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | REDUCE: (7), (37) imply:
% 196.86/33.70  | | | | | |   (38)  $false
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | | CLOSE: (38) is inconsistent.
% 196.86/33.70  | | | | | | 
% 196.86/33.70  | | | | | End of split
% 196.86/33.70  | | | | | 
% 196.86/33.70  | | | | End of split
% 196.86/33.70  | | | | 
% 196.86/33.70  | | | End of split
% 196.86/33.70  | | | 
% 196.86/33.70  | | Case 2:
% 196.86/33.70  | | | 
% 196.86/33.70  | | |   (39)  all_54_13 = e1 | all_54_13 = e0
% 196.86/33.70  | | | 
% 196.86/33.70  | | | REF_CLOSE: (2), (4), (10), (39) are inconsistent by sub-proof #1652.
% 196.86/33.70  | | | 
% 196.86/33.70  | | End of split
% 196.86/33.70  | | 
% 196.86/33.70  | End of split
% 196.86/33.70  | 
% 196.86/33.70  End of proof
% 196.86/33.70  
% 196.86/33.70  Sub-proof #1104 shows that the following formulas are inconsistent:
% 196.86/33.70  ----------------------------------------------------------------
% 196.86/33.70    (1)   ~ (e3 = e2)
% 196.86/33.70    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.86/33.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.86/33.70    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.86/33.70         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.86/33.70    (4)  all_56_6 = e0
% 196.86/33.70    (5)  all_56_7 = e3
% 196.86/33.70    (6)  op(e1, e1) = e0
% 196.86/33.70    (7)   ~ (e1 = e0)
% 196.86/33.70    (8)   ~ (e2 = e1)
% 196.86/33.70    (9)   ~ (e3 = e1)
% 196.86/33.70    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.86/33.70          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.86/33.70    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.86/33.70          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.86/33.70    (12)   ~ (e2 = e0)
% 196.86/33.70    (13)   ~ (e3 = e0)
% 196.86/33.70  
% 196.86/33.70  Begin of proof
% 196.86/33.70  | 
% 196.86/33.70  | BETA: splitting (10) gives:
% 196.86/33.70  | 
% 196.86/33.70  | Case 1:
% 196.86/33.70  | | 
% 196.86/33.70  | |   (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 196.86/33.70  | |           e2)
% 196.86/33.70  | | 
% 196.86/33.70  | | REF_CLOSE: (1), (4), (5), (12), (14) are inconsistent by sub-proof #1577.
% 196.86/33.70  | | 
% 196.86/33.70  | Case 2:
% 196.86/33.70  | | 
% 196.86/33.70  | |   (15)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 196.86/33.70  | |           e2)
% 196.86/33.70  | | 
% 196.86/33.71  | | BETA: splitting (15) gives:
% 196.86/33.71  | | 
% 196.86/33.71  | | Case 1:
% 196.86/33.71  | | | 
% 196.86/33.71  | | |   (16)  all_56_8 = e2 & op(e1, e1) = e2
% 196.86/33.71  | | | 
% 196.86/33.71  | | | ALPHA: (16) implies:
% 196.86/33.71  | | |   (17)  op(e1, e1) = e2
% 196.86/33.71  | | | 
% 196.86/33.71  | | | REF_CLOSE: (2), (6), (12), (17) are inconsistent by sub-proof #1821.
% 196.86/33.71  | | | 
% 196.86/33.71  | | Case 2:
% 196.86/33.71  | | | 
% 196.86/33.71  | | |   (18)  all_56_11 = e2 & op(e1, e0) = e2
% 196.86/33.71  | | | 
% 196.86/33.71  | | | ALPHA: (18) implies:
% 196.86/33.71  | | |   (19)  all_56_11 = e2
% 196.86/33.71  | | | 
% 196.86/33.71  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 196.86/33.71  | | |            (13), (19) are inconsistent by sub-proof #1564.
% 196.86/33.71  | | | 
% 196.86/33.71  | | End of split
% 196.86/33.71  | | 
% 196.86/33.71  | End of split
% 196.86/33.71  | 
% 196.86/33.71  End of proof
% 196.86/33.71  
% 196.86/33.71  Sub-proof #1105 shows that the following formulas are inconsistent:
% 196.86/33.71  ----------------------------------------------------------------
% 196.86/33.71    (1)  all_56_1 = e2 & op(e3, e2) = e2
% 196.86/33.71    (2)  all_56_1 = e1
% 196.86/33.71    (3)   ~ (e2 = e1)
% 196.86/33.71  
% 196.86/33.71  Begin of proof
% 196.86/33.71  | 
% 196.86/33.71  | ALPHA: (1) implies:
% 196.86/33.71  |   (4)  all_56_1 = e2
% 196.86/33.71  | 
% 196.86/33.71  | COMBINE_EQS: (2), (4) imply:
% 196.86/33.71  |   (5)  e2 = e1
% 196.86/33.71  | 
% 196.86/33.71  | REDUCE: (3), (5) imply:
% 196.86/33.71  |   (6)  $false
% 196.86/33.71  | 
% 196.86/33.71  | CLOSE: (6) is inconsistent.
% 196.86/33.71  | 
% 196.86/33.71  End of proof
% 196.86/33.71  
% 196.86/33.71  Sub-proof #1106 shows that the following formulas are inconsistent:
% 196.86/33.71  ----------------------------------------------------------------
% 196.86/33.71    (1)  all_54_5 = all_4_2
% 196.86/33.71    (2)  all_54_5 = e2
% 196.86/33.71    (3)   ~ (all_4_2 = e2)
% 196.86/33.71  
% 196.86/33.71  Begin of proof
% 196.86/33.71  | 
% 196.86/33.71  | COMBINE_EQS: (1), (2) imply:
% 196.86/33.71  |   (4)  all_4_2 = e2
% 196.86/33.71  | 
% 196.86/33.71  | SIMP: (4) implies:
% 196.86/33.71  |   (5)  all_4_2 = e2
% 196.86/33.71  | 
% 196.86/33.71  | REDUCE: (3), (5) imply:
% 196.86/33.71  |   (6)  $false
% 196.86/33.71  | 
% 196.86/33.71  | CLOSE: (6) is inconsistent.
% 196.86/33.71  | 
% 196.86/33.71  End of proof
% 196.86/33.71  
% 196.86/33.71  Sub-proof #1107 shows that the following formulas are inconsistent:
% 196.86/33.71  ----------------------------------------------------------------
% 196.86/33.71    (1)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.86/33.71           ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.86/33.71         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.86/33.71             all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.86/33.71             (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))
% 196.86/33.71    (2)  all_57_12 = all_4_2
% 196.86/33.71    (3)   ~ (all_4_2 = e2)
% 196.86/33.71  
% 196.86/33.71  Begin of proof
% 196.86/33.71  | 
% 196.86/33.71  | ALPHA: (1) implies:
% 196.86/33.71  |   (4)  all_57_12 = e2
% 196.86/33.71  | 
% 196.86/33.71  | COMBINE_EQS: (2), (4) imply:
% 196.86/33.71  |   (5)  all_4_2 = e2
% 196.86/33.71  | 
% 196.86/33.71  | SIMP: (5) implies:
% 196.86/33.71  |   (6)  all_4_2 = e2
% 196.86/33.71  | 
% 196.86/33.71  | REDUCE: (3), (6) imply:
% 196.86/33.71  |   (7)  $false
% 196.86/33.71  | 
% 196.86/33.71  | CLOSE: (7) is inconsistent.
% 196.86/33.71  | 
% 196.86/33.71  End of proof
% 196.86/33.71  
% 196.86/33.71  Sub-proof #1108 shows that the following formulas are inconsistent:
% 196.86/33.71  ----------------------------------------------------------------
% 196.86/33.71    (1)   ~ (all_52_11 = e1)
% 196.86/33.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.86/33.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.86/33.71    (3)  op(e0, e1) = all_52_11
% 196.86/33.71    (4)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.86/33.71           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.86/33.71           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.86/33.71                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.86/33.71               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.86/33.71               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 196.86/33.71           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 196.86/33.71             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.86/33.71               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.86/33.71           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.86/33.71               = all_57_7 & $i(all_57_7))))
% 196.86/33.71    (5)  op(e0, e0) = e3
% 196.86/33.71    (6)   ~ (e3 = e1)
% 196.86/33.71  
% 196.86/33.71  Begin of proof
% 196.86/33.71  | 
% 196.86/33.71  | BETA: splitting (4) gives:
% 196.86/33.71  | 
% 196.86/33.71  | Case 1:
% 196.86/33.71  | | 
% 196.86/33.71  | |   (7)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.86/33.71  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.86/33.71  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.86/33.71  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 196.86/33.71  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.86/33.71  | |            all_57_11 & $i(all_57_11)))
% 196.86/33.71  | | 
% 196.86/33.71  | | ALPHA: (7) implies:
% 196.86/33.71  | |   (8)  op(e0, e1) = e1
% 196.86/33.71  | | 
% 196.86/33.71  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1885.
% 196.86/33.71  | | 
% 196.86/33.71  | Case 2:
% 196.86/33.71  | | 
% 196.86/33.71  | |   (9)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.86/33.71  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.86/33.71  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.86/33.71  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.86/33.71  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 196.86/33.71  | |            & $i(all_57_7)))
% 196.86/33.71  | | 
% 196.86/33.71  | | ALPHA: (9) implies:
% 196.86/33.71  | |   (10)  op(e0, e0) = e1
% 196.86/33.71  | | 
% 196.86/33.71  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1392.
% 196.86/33.71  | | 
% 196.86/33.71  | End of split
% 196.86/33.71  | 
% 196.86/33.71  End of proof
% 196.86/33.71  
% 196.86/33.71  Sub-proof #1109 shows that the following formulas are inconsistent:
% 196.86/33.71  ----------------------------------------------------------------
% 196.86/33.71    (1)   ~ (all_52_13 = e2)
% 196.86/33.71    (2)   ~ (e3 = e2)
% 196.86/33.71    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.86/33.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.86/33.71    (4)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.86/33.71           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.86/33.71           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.86/33.71                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.86/33.71               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.86/33.71               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.86/33.71           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.86/33.71             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.86/33.71               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.86/33.71           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.86/33.71               = all_57_4 & $i(all_57_4))))
% 196.86/33.71    (5)  op(e2, e0) = all_52_13
% 196.86/33.71    (6)  op(e0, e0) = e3
% 196.86/33.71  
% 196.86/33.71  Begin of proof
% 196.86/33.71  | 
% 196.86/33.71  | BETA: splitting (4) gives:
% 196.86/33.71  | 
% 196.86/33.71  | Case 1:
% 196.86/33.71  | | 
% 196.86/33.71  | |   (7)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.86/33.71  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.86/33.71  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.86/33.71  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 196.86/33.71  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.86/33.71  | |            all_57_13 & $i(all_57_13)))
% 196.86/33.71  | | 
% 196.86/33.71  | | ALPHA: (7) implies:
% 196.86/33.71  | |   (8)  op(e2, e0) = e2
% 196.86/33.71  | | 
% 196.86/33.71  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1662.
% 196.86/33.71  | | 
% 196.86/33.71  | Case 2:
% 196.86/33.71  | | 
% 196.86/33.71  | |   (9)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 196.86/33.71  | |        all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.86/33.71  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.86/33.71  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.86/33.71  | |            & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 196.86/33.71  | |            & $i(all_57_4)))
% 196.86/33.71  | | 
% 196.86/33.71  | | ALPHA: (9) implies:
% 196.86/33.71  | |   (10)  op(e0, e0) = e2
% 196.86/33.71  | | 
% 196.86/33.71  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1692.
% 196.86/33.71  | | 
% 196.86/33.71  | End of split
% 196.86/33.71  | 
% 196.86/33.71  End of proof
% 196.86/33.71  
% 196.86/33.71  Sub-proof #1110 shows that the following formulas are inconsistent:
% 196.86/33.71  ----------------------------------------------------------------
% 196.86/33.71    (1)  op(e1, e2) = all_52_6
% 196.86/33.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.86/33.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.86/33.71    (3)  op(e2, e2) = all_4_2
% 196.86/33.71    (4)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.86/33.71           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.86/33.71           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.86/33.71                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 196.86/33.71               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.86/33.71               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.86/33.71           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 196.86/33.71           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.86/33.71               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.86/33.71           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.86/33.71               = all_57_5 & $i(all_57_5))))
% 196.86/33.71    (5)   ~ (all_4_2 = e1)
% 196.86/33.71    (6)   ~ (all_52_6 = e1)
% 196.86/33.71  
% 196.86/33.71  Begin of proof
% 196.86/33.71  | 
% 196.86/33.71  | BETA: splitting (4) gives:
% 196.86/33.71  | 
% 196.86/33.71  | Case 1:
% 196.86/33.71  | | 
% 196.86/33.71  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.86/33.71  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.86/33.71  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.86/33.71  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 196.86/33.71  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 196.86/33.71  | |            & $i(all_57_8)))
% 196.86/33.71  | | 
% 196.86/33.71  | | ALPHA: (7) implies:
% 196.86/33.71  | |   (8)  op(e2, e2) = e1
% 196.86/33.71  | | 
% 196.86/33.71  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1969.
% 196.86/33.71  | | 
% 196.86/33.71  | Case 2:
% 196.86/33.71  | | 
% 196.86/33.71  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 196.86/33.71  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.86/33.71  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.86/33.71  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.86/33.71  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 196.86/33.71  | |            & $i(all_57_5)))
% 196.86/33.71  | | 
% 196.86/33.71  | | ALPHA: (9) implies:
% 196.86/33.71  | |   (10)  op(e1, e2) = e1
% 196.86/33.71  | | 
% 196.86/33.71  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1970.
% 196.86/33.71  | | 
% 196.86/33.71  | End of split
% 196.86/33.71  | 
% 196.86/33.71  End of proof
% 196.86/33.71  
% 196.86/33.71  Sub-proof #1111 shows that the following formulas are inconsistent:
% 196.86/33.71  ----------------------------------------------------------------
% 196.86/33.71    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.86/33.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.86/33.71    (2)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.86/33.71           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.86/33.71           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.86/33.71                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.86/33.71               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.86/33.71               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.86/33.71           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.86/33.71           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.86/33.71             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.86/33.71           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.86/33.71               = all_57_1 & $i(all_57_1))))
% 196.86/33.71    (3)   ~ (all_57_2 = e0)
% 196.86/33.71    (4)  op(e3, e3) = e3
% 196.86/33.71    (5)  op(e0, e3) = all_57_2
% 196.86/33.71    (6)   ~ (e3 = e0)
% 196.86/33.71  
% 196.86/33.71  Begin of proof
% 196.86/33.71  | 
% 196.86/33.71  | BETA: splitting (2) gives:
% 196.86/33.71  | 
% 196.86/33.71  | Case 1:
% 196.86/33.71  | | 
% 196.86/33.71  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.86/33.71  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.86/33.71  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 196.86/33.71  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 196.86/33.71  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.86/33.71  | |            all_57_13 & $i(all_57_13)))
% 196.86/33.71  | | 
% 196.86/33.71  | | ALPHA: (7) implies:
% 196.86/33.71  | |   (8)  op(e3, e3) = e0
% 196.86/33.71  | | 
% 196.86/33.71  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1961.
% 196.86/33.71  | | 
% 196.86/33.71  | Case 2:
% 196.86/33.71  | | 
% 196.86/33.71  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 196.86/33.71  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.86/33.71  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.86/33.71  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.86/33.71  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 196.86/33.71  | |            & $i(all_57_1)))
% 196.86/33.71  | | 
% 196.86/33.71  | | ALPHA: (9) implies:
% 196.86/33.71  | |   (10)  op(e0, e3) = e0
% 196.86/33.71  | | 
% 196.86/33.71  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1526.
% 196.86/33.71  | | 
% 196.86/33.71  | End of split
% 196.86/33.71  | 
% 196.86/33.71  End of proof
% 196.86/33.71  
% 196.86/33.71  Sub-proof #1112 shows that the following formulas are inconsistent:
% 196.86/33.71  ----------------------------------------------------------------
% 196.86/33.71    (1)   ~ (e3 = e2)
% 196.86/33.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.86/33.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.86/33.71    (3)  op(e2, e2) = all_4_2
% 196.86/33.71    (4)  op(e3, e3) = e3
% 196.86/33.71    (5)   ~ (all_4_2 = e3)
% 196.86/33.71    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.86/33.71           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.86/33.71           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.86/33.71                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.86/33.71               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.86/33.71               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.86/33.71           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.86/33.71           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.86/33.71               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.86/33.71           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.86/33.71               = all_57_2 & $i(all_57_2))))
% 196.86/33.71  
% 196.86/33.71  Begin of proof
% 196.86/33.71  | 
% 196.86/33.71  | BETA: splitting (6) gives:
% 196.86/33.71  | 
% 196.86/33.71  | Case 1:
% 196.86/33.71  | | 
% 196.86/33.71  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.86/33.71  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.86/33.71  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.86/33.71  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 196.86/33.71  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 196.86/33.71  | |            & $i(all_57_5)))
% 196.86/33.71  | | 
% 196.86/33.71  | | ALPHA: (7) implies:
% 196.86/33.71  | |   (8)  op(e3, e3) = e2
% 196.86/33.71  | | 
% 196.86/33.71  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1957.
% 196.86/33.71  | | 
% 196.86/33.71  | Case 2:
% 196.86/33.71  | | 
% 196.86/33.71  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 196.86/33.71  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.86/33.71  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 196.86/33.71  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.86/33.71  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 196.86/33.71  | |            & $i(all_57_2)))
% 196.86/33.71  | | 
% 196.86/33.71  | | ALPHA: (9) implies:
% 196.86/33.71  | |   (10)  op(e2, e2) = e3
% 196.86/33.71  | | 
% 196.86/33.71  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1975.
% 196.86/33.71  | | 
% 196.86/33.71  | End of split
% 196.86/33.71  | 
% 196.86/33.71  End of proof
% 196.86/33.71  
% 196.86/33.71  Sub-proof #1113 shows that the following formulas are inconsistent:
% 196.86/33.71  ----------------------------------------------------------------
% 196.86/33.71    (1)   ~ (all_52_11 = e1)
% 196.86/33.71    (2)   ~ (e3 = e2)
% 196.86/33.71    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.86/33.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.86/33.71    (4)  all_56_13 = e3
% 196.87/33.71    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 196.87/33.71         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.87/33.71    (6)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 196.87/33.71         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 196.87/33.71    (7)  all_56_15 = e3
% 196.87/33.71    (8)  op(e0, e1) = all_52_11
% 196.87/33.71    (9)   ~ (e1 = e0)
% 196.87/33.71    (10)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.71              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.87/33.71                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.71                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.87/33.71    (11)   ~ (e2 = e1)
% 196.87/33.71    (12)  op(e0, e0) = e3
% 196.87/33.71    (13)   ~ (e3 = e1)
% 196.87/33.71    (14)   ~ (e2 = e0)
% 196.87/33.71    (15)   ~ (e3 = e0)
% 196.87/33.71  
% 196.87/33.71  Begin of proof
% 196.87/33.71  | 
% 196.87/33.71  | BETA: splitting (5) gives:
% 196.87/33.71  | 
% 196.87/33.71  | Case 1:
% 196.87/33.71  | | 
% 196.87/33.71  | |   (16)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 196.87/33.71  | |           e1)
% 196.87/33.71  | | 
% 196.87/33.71  | | BETA: splitting (16) gives:
% 196.87/33.71  | | 
% 196.87/33.71  | | Case 1:
% 196.87/33.71  | | | 
% 196.87/33.71  | | |   (17)  all_56_12 = e1 & op(e0, e3) = e1
% 196.87/33.71  | | | 
% 196.87/33.71  | | | ALPHA: (17) implies:
% 196.87/33.71  | | |   (18)  all_56_12 = e1
% 196.87/33.71  | | | 
% 196.87/33.71  | | | BETA: splitting (6) gives:
% 196.87/33.71  | | | 
% 196.87/33.71  | | | Case 1:
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | |   (19)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 196.87/33.71  | | | |             e2) = e2)
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | | BETA: splitting (19) gives:
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | | Case 1:
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | |   (20)  all_56_12 = e2 & op(e0, e3) = e2
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | | REF_CLOSE: (11), (18), (20) are inconsistent by sub-proof #1543.
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | Case 2:
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | |   (21)  all_56_13 = e2 & op(e0, e2) = e2
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | | REF_CLOSE: (2), (4), (21) are inconsistent by sub-proof #1905.
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | End of split
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | Case 2:
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | |   (22)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 196.87/33.71  | | | |             e0) = e2)
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | | BETA: splitting (22) gives:
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | | Case 1:
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | |   (23)  all_56_14 = e2 & op(e0, e1) = e2
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | | ALPHA: (23) implies:
% 196.87/33.71  | | | | |   (24)  all_56_14 = e2
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | | BETA: splitting (10) gives:
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | | Case 1:
% 196.87/33.71  | | | | | | 
% 196.87/33.71  | | | | | |   (25)  all_56_15 = e0 & op(e0, e0) = e0
% 196.87/33.71  | | | | | | 
% 196.87/33.71  | | | | | | REF_CLOSE: (7), (15), (25) are inconsistent by sub-proof #1115.
% 196.87/33.71  | | | | | | 
% 196.87/33.71  | | | | | Case 2:
% 196.87/33.71  | | | | | | 
% 196.87/33.71  | | | | | |   (26)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 196.87/33.71  | | | | | |             op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 196.87/33.71  | | | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.71  | | | | | |             op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.87/33.71  | | | | | | 
% 196.87/33.71  | | | | | | ALPHA: (26) implies:
% 196.87/33.71  | | | | | |   (27)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.71  | | | | | |           op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.87/33.71  | | | | | | 
% 196.87/33.71  | | | | | | REF_CLOSE: (4), (9), (14), (15), (18), (24), (27) are inconsistent
% 196.87/33.71  | | | | | |            by sub-proof #1694.
% 196.87/33.71  | | | | | | 
% 196.87/33.71  | | | | | End of split
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | Case 2:
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | |   (28)  all_56_15 = e2 & op(e0, e0) = e2
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | | ALPHA: (28) implies:
% 196.87/33.71  | | | | |   (29)  op(e0, e0) = e2
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | | REF_CLOSE: (2), (3), (12), (29) are inconsistent by sub-proof #1692.
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | End of split
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | End of split
% 196.87/33.71  | | | 
% 196.87/33.71  | | Case 2:
% 196.87/33.71  | | | 
% 196.87/33.71  | | |   (30)  all_56_13 = e1 & op(e0, e2) = e1
% 196.87/33.71  | | | 
% 196.87/33.71  | | | REF_CLOSE: (4), (13), (30) are inconsistent by sub-proof #1902.
% 196.87/33.71  | | | 
% 196.87/33.71  | | End of split
% 196.87/33.71  | | 
% 196.87/33.71  | Case 2:
% 196.87/33.71  | | 
% 196.87/33.71  | |   (31)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.87/33.71  | |           e1)
% 196.87/33.71  | | 
% 196.87/33.71  | | REF_CLOSE: (1), (3), (8), (12), (13), (31) are inconsistent by sub-proof
% 196.87/33.71  | |            #1114.
% 196.87/33.71  | | 
% 196.87/33.71  | End of split
% 196.87/33.71  | 
% 196.87/33.71  End of proof
% 196.87/33.71  
% 196.87/33.71  Sub-proof #1114 shows that the following formulas are inconsistent:
% 196.87/33.71  ----------------------------------------------------------------
% 196.87/33.71    (1)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.87/33.71    (2)   ~ (all_52_11 = e1)
% 196.87/33.71    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.71    (4)  op(e0, e1) = all_52_11
% 196.87/33.71    (5)  op(e0, e0) = e3
% 196.87/33.71    (6)   ~ (e3 = e1)
% 196.87/33.71  
% 196.87/33.71  Begin of proof
% 196.87/33.71  | 
% 196.87/33.71  | BETA: splitting (1) gives:
% 196.87/33.71  | 
% 196.87/33.71  | Case 1:
% 196.87/33.71  | | 
% 196.87/33.71  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 196.87/33.71  | | 
% 196.87/33.71  | | ALPHA: (7) implies:
% 196.87/33.71  | |   (8)  op(e0, e1) = e1
% 196.87/33.71  | | 
% 196.87/33.71  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1885.
% 196.87/33.71  | | 
% 196.87/33.71  | Case 2:
% 196.87/33.71  | | 
% 196.87/33.71  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 196.87/33.71  | | 
% 196.87/33.71  | | ALPHA: (9) implies:
% 196.87/33.71  | |   (10)  op(e0, e0) = e1
% 196.87/33.71  | | 
% 196.87/33.71  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1392.
% 196.87/33.71  | | 
% 196.87/33.71  | End of split
% 196.87/33.71  | 
% 196.87/33.71  End of proof
% 196.87/33.71  
% 196.87/33.71  Sub-proof #1115 shows that the following formulas are inconsistent:
% 196.87/33.71  ----------------------------------------------------------------
% 196.87/33.71    (1)  all_56_15 = e0 & op(e0, e0) = e0
% 196.87/33.71    (2)  all_56_15 = e3
% 196.87/33.71    (3)   ~ (e3 = e0)
% 196.87/33.71  
% 196.87/33.71  Begin of proof
% 196.87/33.71  | 
% 196.87/33.71  | ALPHA: (1) implies:
% 196.87/33.71  |   (4)  all_56_15 = e0
% 196.87/33.71  | 
% 196.87/33.71  | COMBINE_EQS: (2), (4) imply:
% 196.87/33.71  |   (5)  e3 = e0
% 196.87/33.71  | 
% 196.87/33.71  | SIMP: (5) implies:
% 196.87/33.71  |   (6)  e3 = e0
% 196.87/33.71  | 
% 196.87/33.71  | REDUCE: (3), (6) imply:
% 196.87/33.71  |   (7)  $false
% 196.87/33.71  | 
% 196.87/33.71  | CLOSE: (7) is inconsistent.
% 196.87/33.71  | 
% 196.87/33.71  End of proof
% 196.87/33.71  
% 196.87/33.71  Sub-proof #1116 shows that the following formulas are inconsistent:
% 196.87/33.71  ----------------------------------------------------------------
% 196.87/33.71    (1)  op(e1, e1) = e1
% 196.87/33.71    (2)   ~ (e3 = e2)
% 196.87/33.71    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.71    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.87/33.71         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.87/33.71    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.87/33.71         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.87/33.71    (6)  all_56_7 = e3
% 196.87/33.71    (7)   ~ (e1 = e0)
% 196.87/33.71    (8)  all_56_6 = e3
% 196.87/33.71    (9)   ~ (e2 = e1)
% 196.87/33.71    (10)   ~ (e3 = e1)
% 196.87/33.71    (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.87/33.71          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.87/33.71    (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.87/33.71          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.87/33.71    (13)   ~ (e2 = e0)
% 196.87/33.71    (14)   ~ (e3 = e0)
% 196.87/33.71  
% 196.87/33.71  Begin of proof
% 196.87/33.71  | 
% 196.87/33.71  | BETA: splitting (4) gives:
% 196.87/33.71  | 
% 196.87/33.71  | Case 1:
% 196.87/33.71  | | 
% 196.87/33.71  | |   (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 196.87/33.71  | |           e0)
% 196.87/33.71  | | 
% 196.87/33.71  | | BETA: splitting (15) gives:
% 196.87/33.71  | | 
% 196.87/33.71  | | Case 1:
% 196.87/33.71  | | | 
% 196.87/33.71  | | |   (16)  all_56_6 = e0 & op(e1, e3) = e0
% 196.87/33.71  | | | 
% 196.87/33.71  | | | REF_CLOSE: (8), (14), (16) are inconsistent by sub-proof #1856.
% 196.87/33.71  | | | 
% 196.87/33.71  | | Case 2:
% 196.87/33.71  | | | 
% 196.87/33.71  | | |   (17)  all_56_7 = e0 & op(e1, e2) = e0
% 196.87/33.71  | | | 
% 196.87/33.71  | | | REF_CLOSE: (6), (14), (17) are inconsistent by sub-proof #1775.
% 196.87/33.71  | | | 
% 196.87/33.71  | | End of split
% 196.87/33.71  | | 
% 196.87/33.71  | Case 2:
% 196.87/33.71  | | 
% 196.87/33.71  | |   (18)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.87/33.71  | |           e0)
% 196.87/33.71  | | 
% 196.87/33.71  | | BETA: splitting (18) gives:
% 196.87/33.71  | | 
% 196.87/33.71  | | Case 1:
% 196.87/33.71  | | | 
% 196.87/33.71  | | |   (19)  all_56_8 = e0 & op(e1, e1) = e0
% 196.87/33.71  | | | 
% 196.87/33.71  | | | ALPHA: (19) implies:
% 196.87/33.71  | | |   (20)  op(e1, e1) = e0
% 196.87/33.71  | | | 
% 196.87/33.71  | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 196.87/33.71  | | |            (14), (20) are inconsistent by sub-proof #1346.
% 196.87/33.71  | | | 
% 196.87/33.71  | | Case 2:
% 196.87/33.71  | | | 
% 196.87/33.71  | | |   (21)  all_56_11 = e0 & op(e1, e0) = e0
% 196.87/33.71  | | | 
% 196.87/33.71  | | | ALPHA: (21) implies:
% 196.87/33.71  | | |   (22)  all_56_11 = e0
% 196.87/33.71  | | | 
% 196.87/33.71  | | | BETA: splitting (11) gives:
% 196.87/33.71  | | | 
% 196.87/33.71  | | | Case 1:
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | |   (23)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2)
% 196.87/33.71  | | | |           = e2)
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | | BETA: splitting (23) gives:
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | | Case 1:
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | |   (24)  all_56_6 = e2 & op(e1, e3) = e2
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | | REF_CLOSE: (2), (8), (24) are inconsistent by sub-proof #1853.
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | Case 2:
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | |   (25)  all_56_7 = e2 & op(e1, e2) = e2
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | | REF_CLOSE: (2), (6), (25) are inconsistent by sub-proof #1925.
% 196.87/33.71  | | | | | 
% 196.87/33.71  | | | | End of split
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | Case 2:
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | |   (26)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0)
% 196.87/33.71  | | | |           = e2)
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | | REF_CLOSE: (1), (3), (9), (13), (22), (26) are inconsistent by sub-proof
% 196.87/33.71  | | | |            #1117.
% 196.87/33.71  | | | | 
% 196.87/33.71  | | | End of split
% 196.87/33.71  | | | 
% 196.87/33.71  | | End of split
% 196.87/33.71  | | 
% 196.87/33.71  | End of split
% 196.87/33.71  | 
% 196.87/33.71  End of proof
% 196.87/33.71  
% 196.87/33.71  Sub-proof #1117 shows that the following formulas are inconsistent:
% 196.87/33.71  ----------------------------------------------------------------
% 196.87/33.71    (1)  op(e1, e1) = e1
% 196.87/33.71    (2)  all_56_11 = e0
% 196.87/33.71    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.71    (4)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.87/33.71    (5)   ~ (e2 = e1)
% 196.87/33.71    (6)   ~ (e2 = e0)
% 196.87/33.71  
% 196.87/33.71  Begin of proof
% 196.87/33.71  | 
% 196.87/33.71  | BETA: splitting (4) gives:
% 196.87/33.71  | 
% 196.87/33.71  | Case 1:
% 196.87/33.71  | | 
% 196.87/33.71  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 196.87/33.71  | | 
% 196.87/33.71  | | ALPHA: (7) implies:
% 196.87/33.71  | |   (8)  op(e1, e1) = e2
% 196.87/33.71  | | 
% 196.87/33.71  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1955.
% 196.87/33.71  | | 
% 196.87/33.71  | Case 2:
% 196.87/33.71  | | 
% 196.87/33.71  | |   (9)  all_56_11 = e2 & op(e1, e0) = e2
% 196.87/33.71  | | 
% 196.87/33.71  | | ALPHA: (9) implies:
% 196.87/33.71  | |   (10)  all_56_11 = e2
% 196.87/33.71  | | 
% 196.87/33.71  | | REF_CLOSE: (2), (6), (10) are inconsistent by sub-proof #1227.
% 196.87/33.71  | | 
% 196.87/33.71  | End of split
% 196.87/33.71  | 
% 196.87/33.71  End of proof
% 196.87/33.71  
% 196.87/33.71  Sub-proof #1118 shows that the following formulas are inconsistent:
% 196.87/33.71  ----------------------------------------------------------------
% 196.87/33.71    (1)   ~ (all_52_13 = e3)
% 196.87/33.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.71    (3)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.87/33.71    (4)  op(e2, e0) = all_52_13
% 196.87/33.72    (5)   ~ (all_52_12 = e3)
% 196.87/33.72    (6)  op(e3, e0) = all_52_12
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (3) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (7)  all_56_9 = e3 & op(e3, e0) = e3
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (7) implies:
% 196.87/33.72  | |   (8)  op(e3, e0) = e3
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1964.
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (9)  all_56_10 = e3 & op(e2, e0) = e3
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1456.
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1119 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)   ~ (e3 = e2)
% 196.87/33.72    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (3)   ~ (all_52_14 = e3)
% 196.87/33.72    (4)  op(e1, e0) = all_52_14
% 196.87/33.72    (5)  op(e0, e0) = e2
% 196.87/33.72    (6)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (6) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (7)  all_56_11 = e3 & op(e1, e0) = e3
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1407.
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (8)  all_56_15 = e3 & op(e0, e0) = e3
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (8) implies:
% 196.87/33.72  | |   (9)  op(e0, e0) = e3
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1692.
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1120 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (2)  op(e0, e3) = all_52_3
% 196.87/33.72    (3)  op(e0, e3) = e0
% 196.87/33.72    (4)  op(e0, e1) = all_52_11
% 196.87/33.72    (5)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.87/33.72    (6)  op(e1, e1) = e3
% 196.87/33.72    (7)   ~ (e3 = e0)
% 196.87/33.72    (8)   ~ (all_52_3 = all_52_11)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (5) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (9)  all_56_8 = e0 & op(e1, e1) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (9) implies:
% 196.87/33.72  | |   (10)  op(e1, e1) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (6), (7), (10) are inconsistent by sub-proof #1824.
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (11)  all_56_14 = e0 & op(e0, e1) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (11) implies:
% 196.87/33.72  | |   (12)  op(e0, e1) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (2), (3), (4), (8), (12) are inconsistent by sub-proof
% 196.87/33.72  | |            #1671.
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1121 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)  all_56_5 = e0 & op(e2, e1) = e0
% 196.87/33.72    (2)  all_56_5 = e2
% 196.87/33.72    (3)   ~ (e2 = e0)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | ALPHA: (1) implies:
% 196.87/33.72  |   (4)  all_56_5 = e0
% 196.87/33.72  | 
% 196.87/33.72  | COMBINE_EQS: (2), (4) imply:
% 196.87/33.72  |   (5)  e2 = e0
% 196.87/33.72  | 
% 196.87/33.72  | REDUCE: (3), (5) imply:
% 196.87/33.72  |   (6)  $false
% 196.87/33.72  | 
% 196.87/33.72  | CLOSE: (6) is inconsistent.
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1122 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 196.87/33.72         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.87/33.72    (2)   ~ (e3 = e2)
% 196.87/33.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (4)  all_56_13 = e2
% 196.87/33.72    (5)   ~ (e1 = e0)
% 196.87/33.72    (6)  all_56_14 = e1
% 196.87/33.72    (7)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.72             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.87/33.72               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.72               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.87/33.72    (8)  op(e0, e0) = e2
% 196.87/33.72    (9)   ~ (e3 = e1)
% 196.87/33.72    (10)   ~ (e2 = e0)
% 196.87/33.72    (11)   ~ (e3 = e0)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (1) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (12)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 196.87/33.72  | |           e3)
% 196.87/33.72  | | 
% 196.87/33.72  | | BETA: splitting (12) gives:
% 196.87/33.72  | | 
% 196.87/33.72  | | Case 1:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (13)  all_56_12 = e3 & op(e0, e3) = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | ALPHA: (13) implies:
% 196.87/33.72  | | |   (14)  all_56_12 = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (11), (14) are inconsistent
% 196.87/33.72  | | |            by sub-proof #1123.
% 196.87/33.72  | | | 
% 196.87/33.72  | | Case 2:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (15)  all_56_13 = e3 & op(e0, e2) = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | ALPHA: (15) implies:
% 196.87/33.72  | | |   (16)  all_56_13 = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (2), (4), (16) are inconsistent by sub-proof #1541.
% 196.87/33.72  | | | 
% 196.87/33.72  | | End of split
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (17)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 196.87/33.72  | |           e3)
% 196.87/33.72  | | 
% 196.87/33.72  | | BETA: splitting (17) gives:
% 196.87/33.72  | | 
% 196.87/33.72  | | Case 1:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (18)  all_56_14 = e3 & op(e0, e1) = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (6), (9), (18) are inconsistent by sub-proof #1362.
% 196.87/33.72  | | | 
% 196.87/33.72  | | Case 2:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (19)  all_56_15 = e3 & op(e0, e0) = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | ALPHA: (19) implies:
% 196.87/33.72  | | |   (20)  op(e0, e0) = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (2), (3), (8), (20) are inconsistent by sub-proof #1692.
% 196.87/33.72  | | | 
% 196.87/33.72  | | End of split
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1123 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (2)  all_56_12 = e3
% 196.87/33.72    (3)  all_56_13 = e2
% 196.87/33.72    (4)   ~ (e1 = e0)
% 196.87/33.72    (5)  all_56_14 = e1
% 196.87/33.72    (6)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.72             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.87/33.72               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.72               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.87/33.72    (7)  op(e0, e0) = e2
% 196.87/33.72    (8)   ~ (e2 = e0)
% 196.87/33.72    (9)   ~ (e3 = e0)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (6) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (10)  all_56_15 = e0 & op(e0, e0) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (10) implies:
% 196.87/33.72  | |   (11)  op(e0, e0) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (7), (8), (11) are inconsistent by sub-proof #1945.
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (12)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.87/33.72  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 196.87/33.72  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.87/33.72  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (12) implies:
% 196.87/33.72  | |   (13)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.87/33.72  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (13) are inconsistent by sub-proof
% 196.87/33.72  | |            #1124.
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1124 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)  all_56_12 = e3
% 196.87/33.72    (2)  all_56_13 = e2
% 196.87/33.72    (3)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.87/33.72         (all_56_14 = e0 & op(e0, e1) = e0)
% 196.87/33.72    (4)   ~ (e1 = e0)
% 196.87/33.72    (5)  all_56_14 = e1
% 196.87/33.72    (6)   ~ (e2 = e0)
% 196.87/33.72    (7)   ~ (e3 = e0)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (3) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (8)  all_56_12 = e0 & op(e0, e3) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (7), (8) are inconsistent by sub-proof #1846.
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (9)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 196.87/33.72  | |          e0)
% 196.87/33.72  | | 
% 196.87/33.72  | | BETA: splitting (9) gives:
% 196.87/33.72  | | 
% 196.87/33.72  | | Case 1:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (10)  all_56_13 = e0 & op(e0, e2) = e0
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (2), (6), (10) are inconsistent by sub-proof #1208.
% 196.87/33.72  | | | 
% 196.87/33.72  | | Case 2:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (11)  all_56_14 = e0 & op(e0, e1) = e0
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (4), (5), (11) are inconsistent by sub-proof #1207.
% 196.87/33.72  | | | 
% 196.87/33.72  | | End of split
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1125 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (2)  all_56_13 = e3
% 196.87/33.72    (3)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 196.87/33.72         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.87/33.72    (4)  ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 & op(e0, e2) = all_28_1
% 196.87/33.72           & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2) =
% 196.87/33.72           all_28_1 & $i(all_28_1))
% 196.87/33.72    (5)  all_56_12 = e2 & op(e0, e3) = e2
% 196.87/33.72    (6)   ~ (e1 = e0)
% 196.87/33.72    (7)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.72             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.87/33.72               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.72               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.87/33.72    (8)   ~ (e2 = e1)
% 196.87/33.72    (9)  op(e0, e0) = e2
% 196.87/33.72    (10)   ~ (e3 = e1)
% 196.87/33.72    (11)   ~ (e2 = e0)
% 196.87/33.72    (12)  op(e0, e2) = e3
% 196.87/33.72    (13)   ~ (e3 = e0)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | ALPHA: (5) implies:
% 196.87/33.72  |   (14)  all_56_12 = e2
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (7) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (15)  all_56_15 = e0 & op(e0, e0) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (15) implies:
% 196.87/33.72  | |   (16)  op(e0, e0) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (9), (11), (16) are inconsistent by sub-proof #1945.
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (17)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.87/33.72  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 196.87/33.72  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.87/33.72  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (17) implies:
% 196.87/33.72  | |   (18)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.87/33.72  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.87/33.72  | | 
% 196.87/33.72  | | BETA: splitting (18) gives:
% 196.87/33.72  | | 
% 196.87/33.72  | | Case 1:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (19)  all_56_12 = e0 & op(e0, e3) = e0
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (11), (14), (19) are inconsistent by sub-proof #1592.
% 196.87/33.72  | | | 
% 196.87/33.72  | | Case 2:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (20)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 196.87/33.72  | | |           = e0)
% 196.87/33.72  | | | 
% 196.87/33.72  | | | BETA: splitting (20) gives:
% 196.87/33.72  | | | 
% 196.87/33.72  | | | Case 1:
% 196.87/33.72  | | | | 
% 196.87/33.72  | | | |   (21)  all_56_13 = e0 & op(e0, e2) = e0
% 196.87/33.72  | | | | 
% 196.87/33.72  | | | | ALPHA: (21) implies:
% 196.87/33.72  | | | |   (22)  op(e0, e2) = e0
% 196.87/33.72  | | | | 
% 196.87/33.72  | | | | REF_CLOSE: (1), (4), (12), (13), (22) are inconsistent by sub-proof
% 196.87/33.72  | | | |            #1667.
% 196.87/33.72  | | | | 
% 196.87/33.72  | | | Case 2:
% 196.87/33.72  | | | | 
% 196.87/33.72  | | | |   (23)  all_56_14 = e0 & op(e0, e1) = e0
% 196.87/33.72  | | | | 
% 196.87/33.72  | | | | ALPHA: (23) implies:
% 196.87/33.72  | | | |   (24)  all_56_14 = e0
% 196.87/33.72  | | | | 
% 196.87/33.72  | | | | BETA: splitting (3) gives:
% 196.87/33.72  | | | | 
% 196.87/33.72  | | | | Case 1:
% 196.87/33.72  | | | | | 
% 196.87/33.72  | | | | |   (25)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0,
% 196.87/33.72  | | | | |             e2) = e1)
% 196.87/33.72  | | | | | 
% 196.87/33.72  | | | | | BETA: splitting (25) gives:
% 196.87/33.72  | | | | | 
% 196.87/33.72  | | | | | Case 1:
% 196.87/33.72  | | | | | | 
% 196.87/33.72  | | | | | |   (26)  all_56_12 = e1 & op(e0, e3) = e1
% 196.87/33.72  | | | | | | 
% 196.87/33.72  | | | | | | REF_CLOSE: (8), (14), (26) are inconsistent by sub-proof #1435.
% 196.87/33.72  | | | | | | 
% 196.87/33.72  | | | | | Case 2:
% 196.87/33.72  | | | | | | 
% 196.87/33.72  | | | | | |   (27)  all_56_13 = e1 & op(e0, e2) = e1
% 196.87/33.72  | | | | | | 
% 196.87/33.72  | | | | | | REF_CLOSE: (2), (10), (27) are inconsistent by sub-proof #1902.
% 196.87/33.72  | | | | | | 
% 196.87/33.72  | | | | | End of split
% 196.87/33.72  | | | | | 
% 196.87/33.72  | | | | Case 2:
% 196.87/33.72  | | | | | 
% 196.87/33.72  | | | | |   (28)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 196.87/33.72  | | | | |             e0) = e1)
% 196.87/33.72  | | | | | 
% 196.87/33.72  | | | | | REF_CLOSE: (1), (6), (8), (9), (24), (28) are inconsistent by
% 196.87/33.72  | | | | |            sub-proof #1126.
% 196.87/33.72  | | | | | 
% 196.87/33.72  | | | | End of split
% 196.87/33.72  | | | | 
% 196.87/33.72  | | | End of split
% 196.87/33.72  | | | 
% 196.87/33.72  | | End of split
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1126 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.87/33.72    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (3)   ~ (e1 = e0)
% 196.87/33.72    (4)   ~ (e2 = e1)
% 196.87/33.72    (5)  all_56_14 = e0
% 196.87/33.72    (6)  op(e0, e0) = e2
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (1) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #1127.
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (8)  all_56_15 = e1 & op(e0, e0) = e1
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (8) implies:
% 196.87/33.72  | |   (9)  op(e0, e0) = e1
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #1780.
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1127 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)  all_56_14 = e1 & op(e0, e1) = e1
% 196.87/33.72    (2)  all_56_14 = e0
% 196.87/33.72    (3)   ~ (e1 = e0)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | ALPHA: (1) implies:
% 196.87/33.72  |   (4)  all_56_14 = e1
% 196.87/33.72  | 
% 196.87/33.72  | COMBINE_EQS: (2), (4) imply:
% 196.87/33.72  |   (5)  e1 = e0
% 196.87/33.72  | 
% 196.87/33.72  | REDUCE: (3), (5) imply:
% 196.87/33.72  |   (6)  $false
% 196.87/33.72  | 
% 196.87/33.72  | CLOSE: (6) is inconsistent.
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1128 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)  op(e1, e2) = all_52_6
% 196.87/33.72    (2)   ~ (e3 = e2)
% 196.87/33.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (4)   ~ (all_52_14 = e3)
% 196.87/33.72    (5)  op(e1, e0) = all_52_14
% 196.87/33.72    (6)  all_56_6 = e2
% 196.87/33.72    (7)   ~ (all_52_6 = e3)
% 196.87/33.72    (8)   ~ (e2 = e1)
% 196.87/33.72    (9)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.87/33.72           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.87/33.72           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.87/33.72                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.87/33.72               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.72               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 196.87/33.72           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 196.87/33.72             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.87/33.72               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.87/33.72           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.87/33.72               = all_57_7 & $i(all_57_7))))
% 196.87/33.72    (10)  op(e0, e0) = e2
% 196.87/33.72    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.87/33.72          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.87/33.72    (12)   ~ (e3 = e0)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (9) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (13)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.87/33.72  | |         op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.87/33.72  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 196.87/33.72  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 196.87/33.72  | |             e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.87/33.72  | |             all_57_11 & $i(all_57_11)))
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (13) implies:
% 196.87/33.72  | |   (14)  op(e1, e1) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (11), (12), (14) are
% 196.87/33.72  | |            inconsistent by sub-proof #1405.
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (15)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.87/33.72  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.87/33.72  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 196.87/33.72  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 196.87/33.72  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.87/33.72  | |             all_57_7 & $i(all_57_7)))
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (15) implies:
% 196.87/33.72  | |   (16)  op(e0, e0) = e1
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (3), (8), (10), (16) are inconsistent by sub-proof #1780.
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1129 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)  all_54_3 = all_52_12
% 196.87/33.72    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (3)  op(e1, e0) = all_52_14
% 196.87/33.72    (4)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.87/33.72    (5)   ~ (all_52_12 = e2)
% 196.87/33.72    (6)   ~ (all_52_12 = all_52_14)
% 196.87/33.72    (7)   ~ (all_52_12 = e1)
% 196.87/33.72    (8)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.87/33.72         & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.87/33.72         ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.87/33.72             all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.72             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | ALPHA: (8) implies:
% 196.87/33.72  |   (9)  op(e1, e0) = e0
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (4) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (10)  all_54_3 = e2
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #1689.
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (11)  all_54_3 = e1 | all_54_3 = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (11) are inconsistent by sub-proof
% 196.87/33.72  | |            #1687.
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1130 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.72           all_57_3 & $i(all_57_3))
% 196.87/33.72    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (3)  op(e3, e3) = e1
% 196.87/33.72    (4)   ~ (all_52_8 = e3)
% 196.87/33.72    (5)   ~ (all_52_12 = e3)
% 196.87/33.72    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 196.87/33.72         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 196.87/33.72    (7)   ~ (e2 = e1)
% 196.87/33.72    (8)  op(e3, e0) = all_52_12
% 196.87/33.72    (9)  op(e3, e1) = all_52_8
% 196.87/33.72    (10)   ~ (e3 = e1)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (6) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 196.87/33.72  | |           e3)
% 196.87/33.72  | | 
% 196.87/33.72  | | BETA: splitting (11) gives:
% 196.87/33.72  | | 
% 196.87/33.72  | | Case 1:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (12)  all_56_0 = e3 & op(e3, e3) = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | ALPHA: (12) implies:
% 196.87/33.72  | | |   (13)  op(e3, e3) = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (2), (3), (10), (13) are inconsistent by sub-proof #1966.
% 196.87/33.72  | | | 
% 196.87/33.72  | | Case 2:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (14)  all_56_1 = e3 & op(e3, e2) = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | ALPHA: (14) implies:
% 196.87/33.72  | | |   (15)  op(e3, e2) = e3
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (1), (2), (3), (7), (15) are inconsistent by sub-proof #1888.
% 196.87/33.72  | | | 
% 196.87/33.72  | | End of split
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (16)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 196.87/33.72  | |           e3)
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (2), (4), (5), (8), (9), (16) are inconsistent by sub-proof
% 196.87/33.72  | |            #1296.
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1131 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (2)  op(e3, e3) = e1
% 196.87/33.72    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 196.87/33.72    (4)   ~ (e1 = e0)
% 196.87/33.72    (5)  all_56_1 = e3
% 196.87/33.72    (6)   ~ (e3 = e0)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (3) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | ALPHA: (7) implies:
% 196.87/33.72  | |   (8)  op(e3, e3) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1937.
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #1878.
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1132 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.87/33.72         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.87/33.72    (2)   ~ (all_52_1 = all_52_9)
% 196.87/33.72    (3)   ~ (e3 = e2)
% 196.87/33.72    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (5)  op(e2, e2) = e1
% 196.87/33.72    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.87/33.72         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.87/33.72    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.87/33.72         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.87/33.72    (8)  op(e2, e0) = all_52_13
% 196.87/33.72    (9)   ~ (e1 = e0)
% 196.87/33.72    (10)  all_56_14 = e1
% 196.87/33.72    (11)  all_56_4 = e2
% 196.87/33.72    (12)   ~ (e2 = e1)
% 196.87/33.72    (13)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.72          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.87/33.72    (14)  op(e2, e1) = all_52_9
% 196.87/33.72    (15)   ~ (all_52_9 = all_52_13)
% 196.87/33.72    (16)   ~ (e3 = e1)
% 196.87/33.72    (17)  op(e1, e1) = e3
% 196.87/33.72    (18)   ~ (e2 = e0)
% 196.87/33.72    (19)  op(e2, e3) = all_52_1
% 196.87/33.72    (20)  op(e2, e1) = e2
% 196.87/33.72    (21)   ~ (e3 = e0)
% 196.87/33.72  
% 196.87/33.72  Begin of proof
% 196.87/33.72  | 
% 196.87/33.72  | BETA: splitting (1) gives:
% 196.87/33.72  | 
% 196.87/33.72  | Case 1:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (22)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 196.87/33.72  | |           e0)
% 196.87/33.72  | | 
% 196.87/33.72  | | BETA: splitting (22) gives:
% 196.87/33.72  | | 
% 196.87/33.72  | | Case 1:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (23)  all_56_4 = e0 & op(e3, e1) = e0
% 196.87/33.72  | | | 
% 196.87/33.72  | | | ALPHA: (23) implies:
% 196.87/33.72  | | |   (24)  all_56_4 = e0
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (11), (18), (24) are inconsistent by sub-proof #1823.
% 196.87/33.72  | | | 
% 196.87/33.72  | | Case 2:
% 196.87/33.72  | | | 
% 196.87/33.72  | | |   (25)  all_56_5 = e0 & op(e2, e1) = e0
% 196.87/33.72  | | | 
% 196.87/33.72  | | | ALPHA: (25) implies:
% 196.87/33.72  | | |   (26)  all_56_5 = e0
% 196.87/33.72  | | | 
% 196.87/33.72  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 196.87/33.72  | | |            (15), (16), (17), (18), (19), (20), (26) are inconsistent by
% 196.87/33.72  | | |            sub-proof #1133.
% 196.87/33.72  | | | 
% 196.87/33.72  | | End of split
% 196.87/33.72  | | 
% 196.87/33.72  | Case 2:
% 196.87/33.72  | | 
% 196.87/33.72  | |   (27)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 196.87/33.72  | |           e0)
% 196.87/33.72  | | 
% 196.87/33.72  | | REF_CLOSE: (4), (9), (10), (17), (21), (27) are inconsistent by sub-proof
% 196.87/33.72  | |            #1198.
% 196.87/33.72  | | 
% 196.87/33.72  | End of split
% 196.87/33.72  | 
% 196.87/33.72  End of proof
% 196.87/33.72  
% 196.87/33.72  Sub-proof #1133 shows that the following formulas are inconsistent:
% 196.87/33.72  ----------------------------------------------------------------
% 196.87/33.72    (1)   ~ (all_52_1 = all_52_9)
% 196.87/33.72    (2)   ~ (e3 = e2)
% 196.87/33.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.72    (4)  op(e2, e2) = e1
% 196.87/33.72    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.87/33.72         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.87/33.72    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.87/33.72         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.87/33.72    (7)  op(e2, e0) = all_52_13
% 196.87/33.72    (8)  all_56_5 = e0
% 196.87/33.72    (9)   ~ (e1 = e0)
% 196.87/33.72    (10)  all_56_4 = e2
% 196.87/33.73    (11)   ~ (e2 = e1)
% 196.87/33.73    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.73          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.87/33.73    (13)  op(e2, e1) = all_52_9
% 196.87/33.73    (14)   ~ (all_52_9 = all_52_13)
% 196.87/33.73    (15)   ~ (e3 = e1)
% 196.87/33.73    (16)  op(e1, e1) = e3
% 196.87/33.73    (17)   ~ (e2 = e0)
% 196.87/33.73    (18)  op(e2, e3) = all_52_1
% 196.87/33.73    (19)  op(e2, e1) = e2
% 196.87/33.73  
% 196.87/33.73  Begin of proof
% 196.87/33.73  | 
% 196.87/33.73  | BETA: splitting (12) gives:
% 196.87/33.73  | 
% 196.87/33.73  | Case 1:
% 196.87/33.73  | | 
% 196.87/33.73  | |   (20)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 196.87/33.73  | |           e2)
% 196.87/33.73  | | 
% 196.87/33.73  | | BETA: splitting (20) gives:
% 196.87/33.73  | | 
% 196.87/33.73  | | Case 1:
% 196.87/33.73  | | | 
% 196.87/33.73  | | |   (21)  all_56_2 = e2 & op(e2, e3) = e2
% 196.87/33.73  | | | 
% 196.87/33.73  | | | ALPHA: (21) implies:
% 196.87/33.73  | | |   (22)  op(e2, e3) = e2
% 196.87/33.73  | | | 
% 196.87/33.73  | | | REF_CLOSE: (1), (3), (13), (18), (19), (22) are inconsistent by sub-proof
% 196.87/33.73  | | |            #1135.
% 196.87/33.73  | | | 
% 196.87/33.73  | | Case 2:
% 196.87/33.73  | | | 
% 196.87/33.73  | | |   (23)  all_56_3 = e2 & op(e2, e2) = e2
% 196.87/33.73  | | | 
% 196.87/33.73  | | | ALPHA: (23) implies:
% 196.87/33.73  | | |   (24)  op(e2, e2) = e2
% 196.87/33.73  | | | 
% 196.87/33.73  | | | REF_CLOSE: (3), (4), (11), (24) are inconsistent by sub-proof #1783.
% 196.87/33.73  | | | 
% 196.87/33.73  | | End of split
% 196.87/33.73  | | 
% 196.87/33.73  | Case 2:
% 196.87/33.73  | | 
% 196.87/33.73  | |   (25)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 196.87/33.73  | |           e2)
% 196.87/33.73  | | 
% 196.87/33.73  | | BETA: splitting (25) gives:
% 196.87/33.73  | | 
% 196.87/33.73  | | Case 1:
% 196.87/33.73  | | | 
% 196.87/33.73  | | |   (26)  all_56_5 = e2 & op(e2, e1) = e2
% 196.87/33.73  | | | 
% 196.87/33.73  | | | ALPHA: (26) implies:
% 196.87/33.73  | | |   (27)  all_56_5 = e2
% 196.87/33.73  | | | 
% 196.87/33.73  | | | COMBINE_EQS: (8), (27) imply:
% 196.87/33.73  | | |   (28)  e2 = e0
% 196.87/33.73  | | | 
% 196.87/33.73  | | | SIMP: (28) implies:
% 196.87/33.73  | | |   (29)  e2 = e0
% 196.87/33.73  | | | 
% 196.87/33.73  | | | COMBINE_EQS: (10), (29) imply:
% 196.87/33.73  | | |   (30)  all_56_4 = e0
% 196.87/33.73  | | | 
% 196.87/33.73  | | | REF_CLOSE: (2), (3), (5), (6), (8), (9), (11), (15), (16), (17), (30) are
% 196.87/33.73  | | |            inconsistent by sub-proof #1153.
% 196.87/33.73  | | | 
% 196.87/33.73  | | Case 2:
% 196.87/33.73  | | | 
% 196.87/33.73  | | |   (31)  all_56_10 = e2 & op(e2, e0) = e2
% 196.87/33.73  | | | 
% 196.87/33.73  | | | ALPHA: (31) implies:
% 196.87/33.73  | | |   (32)  op(e2, e0) = e2
% 196.87/33.73  | | | 
% 196.87/33.73  | | | REF_CLOSE: (3), (7), (13), (14), (19), (32) are inconsistent by sub-proof
% 196.87/33.73  | | |            #1887.
% 196.87/33.73  | | | 
% 196.87/33.73  | | End of split
% 196.87/33.73  | | 
% 196.87/33.73  | End of split
% 196.87/33.73  | 
% 196.87/33.73  End of proof
% 196.87/33.73  
% 196.87/33.73  Sub-proof #1134 shows that the following formulas are inconsistent:
% 196.87/33.73  ----------------------------------------------------------------
% 196.87/33.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.73    (2)  op(e2, e2) = e1
% 196.87/33.73    (3)  op(e3, e3) = e1
% 196.87/33.73    (4)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.87/33.73             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.73           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.87/33.73               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.87/33.73             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.73         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.87/33.73             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.73           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.87/33.73               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.87/33.73             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.87/33.73    (5)   ~ (e2 = e1)
% 196.87/33.73    (6)   ~ (e3 = e1)
% 196.87/33.73  
% 196.87/33.73  Begin of proof
% 196.87/33.73  | 
% 196.87/33.73  | BETA: splitting (4) gives:
% 196.87/33.73  | 
% 196.87/33.73  | Case 1:
% 196.87/33.73  | | 
% 196.87/33.73  | |   (7)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.73  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.87/33.73  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.73  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.87/33.73  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.87/33.73  | |              e3) = all_57_2 & $i(all_57_2)))
% 196.87/33.73  | | 
% 196.87/33.73  | | ALPHA: (7) implies:
% 196.87/33.73  | |   (8)  op(e3, e3) = e3
% 196.87/33.73  | | 
% 196.87/33.73  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1966.
% 196.87/33.73  | | 
% 196.87/33.73  | Case 2:
% 196.87/33.73  | | 
% 196.87/33.73  | |   (9)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.73  | |            e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.87/33.73  | |            $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.73  | |            (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.87/33.73  | |        ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.73  | |              e2) = all_57_5 & $i(all_57_5)))
% 196.87/33.73  | | 
% 196.87/33.73  | | ALPHA: (9) implies:
% 196.87/33.73  | |   (10)  op(e2, e2) = e2
% 196.87/33.73  | | 
% 196.87/33.73  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1783.
% 196.87/33.73  | | 
% 196.87/33.73  | End of split
% 196.87/33.73  | 
% 196.87/33.73  End of proof
% 196.87/33.73  
% 196.87/33.73  Sub-proof #1135 shows that the following formulas are inconsistent:
% 196.87/33.73  ----------------------------------------------------------------
% 196.87/33.73    (1)   ~ (all_52_1 = all_52_9)
% 196.87/33.73    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.73    (3)  op(e2, e3) = e2
% 196.87/33.73    (4)  op(e2, e1) = all_52_9
% 196.87/33.73    (5)  op(e2, e3) = all_52_1
% 196.87/33.73    (6)  op(e2, e1) = e2
% 196.87/33.73  
% 196.87/33.73  Begin of proof
% 196.87/33.73  | 
% 196.87/33.73  | GROUND_INST: instantiating (2) with all_52_9, e2, e1, e2, simplifying with
% 196.87/33.73  |              (4), (6) gives:
% 196.87/33.73  |   (7)  all_52_9 = e2
% 196.87/33.73  | 
% 196.87/33.73  | GROUND_INST: instantiating (2) with all_52_1, e2, e3, e2, simplifying with
% 196.87/33.73  |              (3), (5) gives:
% 196.87/33.73  |   (8)  all_52_1 = e2
% 196.87/33.73  | 
% 196.87/33.73  | REDUCE: (1), (7), (8) imply:
% 196.87/33.73  |   (9)  $false
% 196.87/33.73  | 
% 196.87/33.73  | CLOSE: (9) is inconsistent.
% 196.87/33.73  | 
% 196.87/33.73  End of proof
% 196.87/33.73  
% 196.87/33.73  Sub-proof #1136 shows that the following formulas are inconsistent:
% 196.87/33.73  ----------------------------------------------------------------
% 196.87/33.73    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.87/33.73         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.87/33.73    (2)   ~ (all_52_4 = e3)
% 196.87/33.73    (3)  op(e1, e3) = all_52_2
% 196.87/33.73    (4)   ~ (all_28_0 = e1)
% 196.87/33.73    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.87/33.73           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.87/33.73           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.87/33.73                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.87/33.73               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.87/33.73               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.87/33.73           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.87/33.73           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.73               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.87/33.73           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.87/33.73               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.87/33.73           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.87/33.73           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.87/33.73               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.73               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.87/33.73               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.73         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.87/33.73           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.87/33.73           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.87/33.73               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.87/33.73             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.73         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.87/33.73           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.87/33.73           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.87/33.73                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.87/33.73               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.87/33.73               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.87/33.73           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.87/33.73           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.87/33.73             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.73           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.87/33.73               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.87/33.73           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.87/33.73           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.87/33.73               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.73               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.87/33.73               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.73         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.87/33.73           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.87/33.73           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.87/33.73               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.87/33.73             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.73         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.87/33.73           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.87/33.73           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.87/33.73                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.87/33.73               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.87/33.73               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.87/33.73           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.87/33.73             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.87/33.73               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.73           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.87/33.73               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.87/33.73           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.87/33.73           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.87/33.73               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.73               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.73               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.87/33.73         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.87/33.73           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.87/33.73           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.87/33.73               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.87/33.73             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.87/33.73         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.87/33.73             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.73           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.87/33.73               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.87/33.73             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.73         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.87/33.73             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.73           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.87/33.73               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.87/33.73             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.73         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.87/33.73             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.87/33.73           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.87/33.73               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.87/33.73             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.73         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.87/33.73             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.87/33.73           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.87/33.73               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.87/33.73             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.87/33.73    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.87/33.73         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.87/33.73    (7)  op(e1, e2) = all_52_6
% 196.87/33.73    (8)  all_56_11 = e1
% 196.87/33.73    (9)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.87/33.73    (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.87/33.73          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.87/33.73    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.87/33.73          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.87/33.73    (12)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.73          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.87/33.73    (13)  all_54_2 = all_52_8
% 196.87/33.73    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.87/33.73          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.87/33.73    (15)   ~ (e3 = e2)
% 196.87/33.73    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.73            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.73    (17)  all_56_13 = e3
% 196.87/33.73    (18)  op(e3, e2) = all_52_4
% 196.87/33.73    (19)  op(e2, e2) = all_4_2
% 196.87/33.73    (20)  op(e2, e2) = e1
% 196.87/33.73    (21)  all_54_3 = all_28_0
% 196.87/33.73    (22)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.87/33.73          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.87/33.73    (23)   ~ (all_28_0 = e3)
% 196.87/33.73    (24)   ~ (all_28_0 = e2)
% 196.87/33.73    (25)   ~ (all_52_4 = all_52_8)
% 196.87/33.73    (26)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.87/33.73          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.87/33.73            e1)
% 196.87/33.73    (27)  all_54_9 = all_52_6
% 196.87/33.73    (28)   ~ (all_52_8 = all_28_0)
% 196.87/33.73    (29)   ~ (all_52_8 = e3)
% 196.87/33.73    (30)   ~ (all_52_14 = e3)
% 196.87/33.73    (31)  op(e0, e3) = all_52_3
% 196.87/33.73    (32)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.87/33.73    (33)   ~ (all_52_14 = e2)
% 196.87/33.73    (34)  op(e2, e0) = all_52_13
% 196.87/33.73    (35)  op(e1, e0) = all_52_14
% 196.87/33.73    (36)  all_54_8 = all_52_2
% 196.87/33.73    (37)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.87/33.73          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.87/33.73    (38)   ~ (all_52_2 = all_52_14)
% 196.87/33.73    (39)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.87/33.73              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.87/33.73            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.87/33.73            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.87/33.73            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.87/33.73            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.87/33.73            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.87/33.73            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.87/33.73            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.87/33.73            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.87/33.73            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.87/33.73            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.87/33.73            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.87/33.73            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.87/33.73            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.87/33.73            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.87/33.73            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.87/33.73            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.87/33.73            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.87/33.73            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.87/33.73            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.87/33.73            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.73            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.87/33.73            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.87/33.73            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.87/33.73            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.87/33.73            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.87/33.73            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.87/33.73            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.87/33.73            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.87/33.73            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.87/33.73            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.87/33.73            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.87/33.73            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.87/33.73            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.87/33.73            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.87/33.73            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.87/33.73            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.87/33.73            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.87/33.73            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.87/33.73            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.87/33.73            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.87/33.73            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.87/33.73            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.87/33.73            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.87/33.73            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.87/33.73            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.87/33.73            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.87/33.73              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.87/33.73            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.87/33.73            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.87/33.73              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.87/33.73            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.87/33.73            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.87/33.73                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.87/33.73                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.73                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.73                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.87/33.73                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.87/33.73                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.87/33.73                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.87/33.73              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.87/33.73                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.87/33.73                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.87/33.73                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.87/33.73                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.87/33.73                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.87/33.73                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.87/33.73                $i(all_57_7))))
% 196.87/33.73    (40)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.87/33.73          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.87/33.73    (41)  all_56_10 = e3
% 196.87/33.73    (42)   ~ (all_52_7 = e1)
% 196.87/33.73    (43)   ~ (all_52_4 = all_28_0)
% 196.87/33.73    (44)  op(e0, e1) = all_52_11
% 196.87/33.73    (45)  op(e3, e3) = e3
% 196.87/33.73    (46)   ~ (all_52_12 = e3)
% 196.87/33.73    (47)   ~ (all_52_6 = all_52_14)
% 196.87/33.73    (48)  op(e0, e2) = all_28_1
% 196.87/33.73    (49)   ~ (all_52_2 = e3)
% 196.87/33.73    (50)   ~ (all_4_2 = e3)
% 196.87/33.73    (51)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.87/33.73    (52)  all_54_11 = all_52_14
% 196.87/33.73    (53)   ~ (all_52_14 = all_28_0)
% 196.87/33.73    (54)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.87/33.73    (55)   ~ (e1 = e0)
% 196.87/33.73    (56)   ~ (all_52_11 = e3)
% 196.87/33.73    (57)   ~ (all_52_8 = all_52_11)
% 196.87/33.73    (58)   ~ (all_52_4 = e1)
% 196.87/33.73    (59)   ~ (all_52_6 = e3)
% 196.87/33.73    (60)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 196.87/33.73    (61)   ~ (all_52_2 = all_52_6)
% 196.87/33.73    (62)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.73              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.87/33.73                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.73                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.87/33.73    (63)   ~ (e2 = e1)
% 196.87/33.73    (64)  all_54_14 = all_52_11
% 196.87/33.73    (65)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.87/33.73    (66)  op(e3, e0) = all_52_12
% 196.87/33.73    (67)  op(e2, e1) = all_52_9
% 196.87/33.73    (68)   ~ (all_52_1 = all_52_2)
% 196.87/33.73    (69)   ~ (all_52_4 = all_52_6)
% 196.87/33.73    (70)  op(e3, e1) = all_52_8
% 196.87/33.73    (71)  op(e0, e0) = e2
% 196.87/33.73    (72)   ~ (all_52_9 = all_52_13)
% 196.87/33.73    (73)   ~ (e3 = e1)
% 196.87/33.73    (74)  all_54_1 = all_52_4
% 196.87/33.73    (75)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 196.87/33.73          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 196.87/33.73    (76)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 196.87/33.73          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 196.87/33.73    (77)  op(e0, e2) = all_52_7
% 196.87/33.73    (78)  op(e1, e1) = e3
% 196.87/33.73    (79)   ~ (e2 = e0)
% 196.87/33.73    (80)  op(e2, e3) = all_52_1
% 196.87/33.73    (81)  op(e0, e2) = e3
% 196.87/33.73    (82)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.87/33.73    (83)   ~ (e3 = e0)
% 196.87/33.73    (84)   ~ (all_52_3 = all_52_11)
% 196.87/33.73    (85)   ~ (all_52_11 = e2)
% 196.87/33.73  
% 196.87/33.73  Begin of proof
% 196.87/33.73  | 
% 196.87/33.73  | BETA: splitting (9) gives:
% 196.87/33.73  | 
% 196.87/33.73  | Case 1:
% 196.87/33.73  | | 
% 196.87/33.73  | |   (86)  all_54_3 = e3
% 196.87/33.73  | | 
% 196.87/33.73  | | COMBINE_EQS: (21), (86) imply:
% 196.87/33.73  | |   (87)  all_28_0 = e3
% 196.87/33.73  | | 
% 196.87/33.73  | | REDUCE: (23), (87) imply:
% 196.87/33.73  | |   (88)  $false
% 196.87/33.73  | | 
% 196.87/33.73  | | CLOSE: (88) is inconsistent.
% 196.87/33.73  | | 
% 196.87/33.73  | Case 2:
% 196.87/33.73  | | 
% 196.87/33.73  | |   (89)   ~ (all_54_3 = e3)
% 196.87/33.73  | |   (90)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.87/33.73  | | 
% 196.87/33.73  | | BETA: splitting (90) gives:
% 196.87/33.73  | | 
% 196.87/33.73  | | Case 1:
% 196.87/33.73  | | | 
% 196.87/33.73  | | |   (91)  all_54_3 = e2
% 196.87/33.73  | | | 
% 196.87/33.73  | | | COMBINE_EQS: (21), (91) imply:
% 196.87/33.73  | | |   (92)  all_28_0 = e2
% 196.87/33.73  | | | 
% 196.87/33.73  | | | REDUCE: (24), (92) imply:
% 196.87/33.73  | | |   (93)  $false
% 196.87/33.73  | | | 
% 196.87/33.73  | | | CLOSE: (93) is inconsistent.
% 196.87/33.73  | | | 
% 196.87/33.73  | | Case 2:
% 196.87/33.73  | | | 
% 196.87/33.73  | | |   (94)   ~ (all_54_3 = e2)
% 196.87/33.73  | | |   (95)  all_54_3 = e1 | all_54_3 = e0
% 196.87/33.73  | | | 
% 196.87/33.73  | | | BETA: splitting (11) gives:
% 196.87/33.73  | | | 
% 196.87/33.73  | | | Case 1:
% 196.87/33.73  | | | | 
% 196.87/33.73  | | | |   (96)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2)
% 196.87/33.73  | | | |           = e1)
% 196.87/33.73  | | | | 
% 196.87/33.73  | | | | BETA: splitting (96) gives:
% 196.87/33.73  | | | | 
% 196.87/33.73  | | | | Case 1:
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | |   (97)  all_56_0 = e1 & op(e3, e3) = e1
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | | ALPHA: (97) implies:
% 196.87/33.73  | | | | |   (98)  op(e3, e3) = e1
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | | REF_CLOSE: (16), (45), (73), (98) are inconsistent by sub-proof #1966.
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | Case 2:
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | |   (99)  all_56_1 = e1 & op(e3, e2) = e1
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | | ALPHA: (99) implies:
% 196.87/33.73  | | | | |   (100)  op(e3, e2) = e1
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | | REF_CLOSE: (16), (18), (58), (100) are inconsistent by sub-proof
% 196.87/33.73  | | | | |            #1910.
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | End of split
% 196.87/33.73  | | | | 
% 196.87/33.73  | | | Case 2:
% 196.87/33.73  | | | | 
% 196.87/33.73  | | | |   (101)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0)
% 196.87/33.73  | | | |            = e1)
% 196.87/33.73  | | | | 
% 196.87/33.73  | | | | BETA: splitting (101) gives:
% 196.87/33.73  | | | | 
% 196.87/33.73  | | | | Case 1:
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | |   (102)  all_56_4 = e1 & op(e3, e1) = e1
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | | ALPHA: (102) implies:
% 196.87/33.73  | | | | |   (103)  all_56_4 = e1
% 196.87/33.73  | | | | |   (104)  op(e3, e1) = e1
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | | BETA: splitting (95) gives:
% 196.87/33.73  | | | | | 
% 196.87/33.73  | | | | | Case 1:
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | |   (105)  all_54_3 = e1
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | COMBINE_EQS: (21), (105) imply:
% 196.87/33.73  | | | | | |   (106)  all_28_0 = e1
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | REDUCE: (4), (106) imply:
% 196.87/33.73  | | | | | |   (107)  $false
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | CLOSE: (107) is inconsistent.
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | Case 2:
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | |   (108)  all_54_3 = e0
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | COMBINE_EQS: (21), (108) imply:
% 196.87/33.73  | | | | | |   (109)  all_28_0 = e0
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | REDUCE: (43), (109) imply:
% 196.87/33.73  | | | | | |   (110)   ~ (all_52_4 = e0)
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | REDUCE: (28), (109) imply:
% 196.87/33.73  | | | | | |   (111)   ~ (all_52_8 = e0)
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | REDUCE: (53), (109) imply:
% 196.87/33.73  | | | | | |   (112)   ~ (all_52_14 = e0)
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | REDUCE: (23), (109) imply:
% 196.87/33.73  | | | | | |   (113)   ~ (e3 = e0)
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | REDUCE: (24), (109) imply:
% 196.87/33.73  | | | | | |   (114)   ~ (e2 = e0)
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | REDUCE: (4), (109) imply:
% 196.87/33.73  | | | | | |   (115)   ~ (e1 = e0)
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | BETA: splitting (32) gives:
% 196.87/33.73  | | | | | | 
% 196.87/33.73  | | | | | | Case 1:
% 196.87/33.73  | | | | | | | 
% 196.87/33.73  | | | | | | |   (116)  all_54_11 = e3
% 196.87/33.73  | | | | | | | 
% 196.87/33.73  | | | | | | | REF_CLOSE: (30), (52), (116) are inconsistent by sub-proof #1277.
% 196.87/33.73  | | | | | | | 
% 196.87/33.73  | | | | | | Case 2:
% 196.87/33.73  | | | | | | | 
% 196.87/33.73  | | | | | | |   (117)   ~ (all_54_11 = e3)
% 196.87/33.73  | | | | | | |   (118)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 196.87/33.73  | | | | | | | 
% 196.87/33.73  | | | | | | | BETA: splitting (6) gives:
% 196.87/33.73  | | | | | | | 
% 196.87/33.73  | | | | | | | Case 1:
% 196.87/33.73  | | | | | | | | 
% 196.87/33.74  | | | | | | | |   (119)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 &
% 196.87/33.74  | | | | | | | |            op(e2, e2) = e0)
% 196.87/33.74  | | | | | | | | 
% 196.87/33.74  | | | | | | | | BETA: splitting (119) gives:
% 196.87/33.74  | | | | | | | | 
% 196.87/33.74  | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | |   (120)  all_56_1 = e0 & op(e3, e2) = e0
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | ALPHA: (120) implies:
% 196.87/33.74  | | | | | | | | |   (121)  all_56_1 = e0
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | BETA: splitting (12) gives:
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | |   (122)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.87/33.74  | | | | | | | | | |            & op(e2, e2) = e2)
% 196.87/33.74  | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | REF_CLOSE: (16), (20), (63), (79), (121), (122) are
% 196.87/33.74  | | | | | | | | | |            inconsistent by sub-proof #1150.
% 196.87/33.74  | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | |   (123)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2
% 196.87/33.74  | | | | | | | | | |            & op(e0, e2) = e2)
% 196.87/33.74  | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | BETA: splitting (123) gives:
% 196.87/33.74  | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | |   (124)  all_56_7 = e2 & op(e1, e2) = e2
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | ALPHA: (124) implies:
% 196.87/33.74  | | | | | | | | | | |   (125)  all_56_7 = e2
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | REF_CLOSE: (12), (15), (16), (17), (20), (35), (40), (41),
% 196.87/33.74  | | | | | | | | | | |            (45), (62), (63), (71), (79), (83), (103), (112),
% 196.87/33.74  | | | | | | | | | | |            (121), (125) are inconsistent by sub-proof #1144.
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | |   (126)  all_56_13 = e2 & op(e0, e2) = e2
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | REF_CLOSE: (15), (17), (126) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | |            #1905.
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | End of split
% 196.87/33.74  | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | End of split
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | |   (127)  all_56_3 = e0 & op(e2, e2) = e0
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | ALPHA: (127) implies:
% 196.87/33.74  | | | | | | | | |   (128)  op(e2, e2) = e0
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | REF_CLOSE: (16), (20), (55), (128) are inconsistent by
% 196.87/33.74  | | | | | | | | |            sub-proof #1909.
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | End of split
% 196.87/33.74  | | | | | | | | 
% 196.87/33.74  | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | 
% 196.87/33.74  | | | | | | | |   (129)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 &
% 196.87/33.74  | | | | | | | |            op(e0, e2) = e0)
% 196.87/33.74  | | | | | | | | 
% 196.87/33.74  | | | | | | | | BETA: splitting (129) gives:
% 196.87/33.74  | | | | | | | | 
% 196.87/33.74  | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | |   (130)  all_56_7 = e0 & op(e1, e2) = e0
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | ALPHA: (130) implies:
% 196.87/33.74  | | | | | | | | |   (131)  all_56_7 = e0
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | BETA: splitting (12) gives:
% 196.87/33.74  | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | |   (132)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.87/33.74  | | | | | | | | | |            & op(e2, e2) = e2)
% 196.87/33.74  | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | BETA: splitting (132) gives:
% 196.87/33.74  | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | |   (133)  all_56_1 = e2 & op(e3, e2) = e2
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | ALPHA: (133) implies:
% 196.87/33.74  | | | | | | | | | | |   (134)  all_56_1 = e2
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | BETA: splitting (65) gives:
% 196.87/33.74  | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | |   (135)  all_54_1 = e3
% 196.87/33.74  | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | REF_CLOSE: (2), (74), (135) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | |            #1763.
% 196.87/33.74  | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | |   (136)   ~ (all_54_1 = e3)
% 196.87/33.74  | | | | | | | | | | | |   (137)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 196.87/33.74  | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | BETA: splitting (22) gives:
% 196.87/33.74  | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | |   (138)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 196.87/33.74  | | | | | | | | | | | | |            & op(e2, e1) = e2)
% 196.87/33.74  | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | BETA: splitting (138) gives:
% 196.87/33.74  | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | |   (139)  all_56_4 = e2 & op(e3, e1) = e2
% 196.87/33.74  | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | ALPHA: (139) implies:
% 196.87/33.74  | | | | | | | | | | | | | |   (140)  all_56_4 = e2
% 196.87/33.74  | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | REF_CLOSE: (63), (103), (140) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | |            #1751.
% 196.87/33.74  | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | |   (141)  all_56_5 = e2 & op(e2, e1) = e2
% 196.87/33.74  | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | ALPHA: (141) implies:
% 196.87/33.74  | | | | | | | | | | | | | |   (142)  all_56_5 = e2
% 196.87/33.74  | | | | | | | | | | | | | |   (143)  op(e2, e1) = e2
% 196.87/33.74  | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 196.87/33.74  | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | |   (144)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 196.87/33.74  | | | | | | | | | | | | | | |            & op(e1, e2) = e2)
% 196.87/33.74  | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | |   (145)  all_56_6 = e2 & op(e1, e3) = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | |   (146)  all_56_6 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | |   (147)  all_54_11 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (52), (147) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | | | | |            #1339.
% 196.87/33.74  | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | |   (148)   ~ (all_54_11 = e2)
% 196.87/33.74  | | | | | | | | | | | | | | | | |   (149)  all_54_11 = e1 | all_54_11 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | |   (150)  all_54_11 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (150) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | |   (151)  all_52_14 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | SIMP: (151) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | |   (152)  all_52_14 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | REDUCE: (38), (152) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | |   (153)   ~ (all_52_2 = e1)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | REDUCE: (47), (152) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | |   (154)   ~ (all_52_6 = e1)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | REDUCE: (30), (152) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | |   (155)   ~ (e3 = e1)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | REDUCE: (33), (152) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | |   (156)   ~ (e2 = e1)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | REDUCE: (35), (152) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | |   (157)  op(e1, e0) = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | |   (158)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | |   (159)  all_56_0 = e1 & op(e3, e3) = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | ALPHA: (159) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | |   (160)  op(e3, e3) = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (45), (73), (160) are inconsistent by
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | |   (161)  all_56_2 = e1 & op(e2, e3) = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | |   (162)  all_56_2 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (10) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |   (163)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (164)  all_56_2 = e0 & op(e2, e3) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (165)  all_56_2 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (162), (165) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |            #1713.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (166)  all_56_3 = e0 & op(e2, e2) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (167)  op(e2, e2) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (12), (15), (16), (17), (19), (37), (50),
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |            (55), (63), (73), (79), (83), (131), (167) are
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1282.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |   (168)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (169)  all_56_5 = e0 & op(e2, e1) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (170)  all_56_5 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (142), (170) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (171)  e2 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | SIMP: (171) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (172)  e2 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (172) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (173)  all_56_1 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (15), (16), (17), (20), (63), (79), (131),
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |            (173) are inconsistent by sub-proof #1149.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (174)  all_56_10 = e0 & op(e2, e0) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (175)  all_56_10 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (83), (175) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |            #1432.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | |   (176)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | |   (177)  all_56_6 = e1 & op(e1, e3) = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | |   (178)  op(e1, e3) = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (16), (153), (178) are inconsistent by
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | |            sub-proof #1974.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | |   (179)  all_56_12 = e1 & op(e0, e3) = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | |   (180)  all_56_12 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |   (181)  all_54_1 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (181) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |   (182)  all_52_4 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (182) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |   (183)   ~ (all_52_6 = e2)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | SIMP: (183) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |   (184)   ~ (all_52_6 = e2)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (182) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_52_8 = e2)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |   (186)   ~ (all_52_8 = e2)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (182) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |   (187)   ~ (e3 = e2)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (182) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | |   (188)  op(e3, e2) = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (189)  all_56_15 = e0 & op(e0, e0) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (189) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (190)  op(e0, e0) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (71), (79), (190) are inconsistent by
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1945.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (191)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_56_12 = e0 & op(e0, e3) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_56_12 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (180), (194) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | |            #1723.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | |   (195)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_56_13 = e0 & op(e0, e2) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | |   (197)  op(e0, e2) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (48), (81), (83), (197) are inconsistent by
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1668.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_56_14 = e0 & op(e0, e1) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | |   (199)  op(e0, e1) = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_54_9 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (200) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_52_6 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (201) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  $false
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (202) is inconsistent.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (203)   ~ (all_54_9 = e3)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_54_2 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (205) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_52_8 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (206) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  $false
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (207) is inconsistent.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)   ~ (all_54_2 = e3)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_54_2 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (210) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_52_8 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (211) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  $false
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (212) is inconsistent.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_54_2 = e1 | all_54_2 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (20), (73), (188), (216) are
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1143.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (16), (45), (73), (153), (217) are
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1672.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (31), (44), (45), (83), (84), (199), (219)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1670.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (221) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_54_9 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (184), (223) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1142.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_54_9 = e1 | all_54_9 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_54_2 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (225) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_52_8 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (226) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_52_8 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (227) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)   ~ (all_52_11 = e1)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (228) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)   ~ (all_52_11 = e1)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_54_9 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (154), (230) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1804.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_54_9 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (231) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_52_6 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (232) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_52_6 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (233) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)   ~ (all_52_2 = e0)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_54_8 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (49), (235) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1162.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)   ~ (all_54_8 = e3)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_54_14 = e3
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (64), (238) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1260.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)   ~ (all_54_14 = e3)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_54_14 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (85), (241) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1740.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_54_14 = e1 | all_54_14 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_54_14 = e1
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (229), (243) are inconsistent by sub-proof
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1739.
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_54_14 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (64), (244) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_52_11 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (245) implies:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_52_11 = e0
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (246) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)   ~ (all_52_3 = e0)
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_54_8 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (248) imply:
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_52_2 = e2
% 196.87/33.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (249) implies:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_52_2 = e2
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (250) imply:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)   ~ (all_52_1 = e2)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (80), (251), (254) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1784.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (16), (20), (73), (153), (255) are
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1678.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (188), (257) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1141.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16), (73), (104), (154), (258) are
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1140.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (45), (46), (63), (66), (71), (73), (260)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1585.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (45), (83), (262) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1960.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)   ~ (all_57_13 = e1)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  op(e1, e0) = all_57_13
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (157), (265), (266) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1437.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (268) implies:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  op(e2, e2) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (12), (15), (16), (17), (19), (37), (50),
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (55), (63), (73), (79), (83), (131), (269) are
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1282.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (270) implies:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (273) implies:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  op(e2, e2) = e3
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (73), (274) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1679.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (276) implies:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  op(e0, e3) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (31), (247), (277) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1935.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  op(e0, e2) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (48), (81), (83), (279) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1668.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (281) implies:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  op(e0, e2) = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (48), (81), (83), (282) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1668.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (63), (71), (222), (283) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1139.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_54_8 = e1 | all_54_8 = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (153), (234), (284) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1365.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_54_2 = e0
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (111), (285) are inconsistent by sub-proof
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1389.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  op(e1, e2) = e1
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16), (154), (287) are inconsistent by
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1970.
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  op(e2, e0) = e2
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (34), (67), (72), (143), (292) are
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1887.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (293) implies:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  op(e0, e2) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (48), (81), (83), (294) are inconsistent by
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1668.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15), (16), (30), (35), (59), (76), (83),
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (146), (295) are inconsistent by sub-proof
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1270.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (298) implies:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (19), (50), (300), (303) are inconsistent by
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1223.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (16), (20), (73), (153), (304) are
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1678.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (188), (306) are inconsistent by
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1141.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16), (73), (104), (154), (307) are
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1140.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (45), (46), (63), (66), (71), (73), (309)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1585.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (45), (83), (311) are inconsistent by
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1960.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)   ~ (all_57_13 = e1)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  op(e1, e0) = all_57_13
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (157), (314), (315) are inconsistent by
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1437.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  op(e2, e2) = e0
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (12), (15), (16), (17), (19), (37), (50),
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (55), (63), (73), (79), (83), (131), (318) are
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1282.
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (319) implies:
% 196.87/33.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  op(e0, e0) = all_57_15
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  op(e2, e2) = e3
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (73), (324) are inconsistent by
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1679.
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (326) implies:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)   ~ (all_57_15 = e3)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  op(e0, e3) = e0
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (299), (320), (327), (328) are inconsistent
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1275.
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  op(e0, e2) = e0
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (48), (81), (83), (330) are inconsistent by
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1668.
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (332) implies:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  op(e0, e2) = e0
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (48), (81), (83), (333) are inconsistent by
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1668.
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (335) implies:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  op(e3, e3) = e1
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (45), (73), (336) are inconsistent by
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (337) implies:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)   ~ (all_57_7 = e2)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  op(e2, e1) = all_57_7
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (143), (338), (339) are inconsistent by
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1718.
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  op(e2, e2) = e2
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (16), (17), (42), (55), (63), (77),
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (83), (134), (341) are inconsistent by
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1155.
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (73), (78), (83), (157), (342) are
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1254.
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | |   (343)  all_54_1 = e1 | all_54_1 = e0
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (74), (110), (343) are inconsistent by
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1898.
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | |   (344)  all_54_11 = e0
% 196.87/33.77  | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (112), (344) are inconsistent by sub-proof
% 196.87/33.77  | | | | | | | | | | | | | | | | | |            #1337.
% 196.87/33.77  | | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | |   (345)  all_56_7 = e2 & op(e1, e2) = e2
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 196.87/33.77  | | | | | | | | | | | | | | | |   (346)  all_56_7 = e2
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | COMBINE_EQS: (131), (346) imply:
% 196.87/33.77  | | | | | | | | | | | | | | | |   (347)  e2 = e0
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (347) imply:
% 196.87/33.77  | | | | | | | | | | | | | | | |   (348)  all_56_1 = e0
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | REF_CLOSE: (12), (15), (16), (17), (20), (35), (40), (41),
% 196.87/33.77  | | | | | | | | | | | | | | | |            (45), (62), (63), (71), (79), (83), (103), (112),
% 196.87/33.77  | | | | | | | | | | | | | | | |            (346), (348) are inconsistent by sub-proof #1144.
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | |   (349)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 196.87/33.77  | | | | | | | | | | | | | | |            e2 & op(e1, e0) = e2)
% 196.87/33.77  | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 196.87/33.77  | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | Case 1:
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | |   (350)  all_56_8 = e2 & op(e1, e1) = e2
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 196.87/33.77  | | | | | | | | | | | | | | | |   (351)  op(e1, e1) = e2
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (78), (351) are inconsistent by
% 196.87/33.77  | | | | | | | | | | | | | | | |            sub-proof #1777.
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | |   (352)  all_56_11 = e2 & op(e1, e0) = e2
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (63), (352) are inconsistent by sub-proof
% 196.87/33.77  | | | | | | | | | | | | | | | |            #1138.
% 196.87/33.77  | | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | |   (353)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 196.87/33.77  | | | | | | | | | | | | |            e2 & op(e0, e1) = e2)
% 196.87/33.77  | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (26), (55), (62), (63), (71),
% 196.87/33.77  | | | | | | | | | | | | |            (73), (78), (79), (83), (353) are inconsistent by
% 196.87/33.77  | | | | | | | | | | | | |            sub-proof #1137.
% 196.87/33.77  | | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | |   (354)  all_56_3 = e2 & op(e2, e2) = e2
% 196.87/33.77  | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | ALPHA: (354) implies:
% 196.87/33.77  | | | | | | | | | | |   (355)  op(e2, e2) = e2
% 196.87/33.77  | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | | REF_CLOSE: (16), (20), (63), (355) are inconsistent by
% 196.87/33.77  | | | | | | | | | | |            sub-proof #1783.
% 196.87/33.77  | | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | |   (356)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2
% 196.87/33.77  | | | | | | | | | |            & op(e0, e2) = e2)
% 196.87/33.77  | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | | REF_CLOSE: (15), (17), (79), (131), (356) are inconsistent by
% 196.87/33.77  | | | | | | | | | |            sub-proof #1285.
% 196.87/33.77  | | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | | 
% 196.87/33.77  | | | | | | | | Case 2:
% 196.87/33.77  | | | | | | | | | 
% 196.87/33.77  | | | | | | | | |   (357)  all_56_13 = e0 & op(e0, e2) = e0
% 196.87/33.77  | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | ALPHA: (357) implies:
% 196.87/33.77  | | | | | | | | |   (358)  op(e0, e2) = e0
% 196.87/33.77  | | | | | | | | | 
% 196.87/33.77  | | | | | | | | | REF_CLOSE: (16), (48), (81), (83), (358) are inconsistent by
% 196.87/33.77  | | | | | | | | |            sub-proof #1668.
% 196.87/33.77  | | | | | | | | | 
% 196.87/33.77  | | | | | | | | End of split
% 196.87/33.77  | | | | | | | | 
% 196.87/33.77  | | | | | | | End of split
% 196.87/33.77  | | | | | | | 
% 196.87/33.77  | | | | | | End of split
% 196.87/33.77  | | | | | | 
% 196.87/33.77  | | | | | End of split
% 196.87/33.77  | | | | | 
% 196.87/33.77  | | | | Case 2:
% 196.87/33.77  | | | | | 
% 196.87/33.77  | | | | |   (359)  all_56_9 = e1 & op(e3, e0) = e1
% 196.87/33.77  | | | | | 
% 196.87/33.77  | | | | | ALPHA: (359) implies:
% 196.87/33.77  | | | | |   (360)  all_56_9 = e1
% 196.87/33.77  | | | | | 
% 196.87/33.77  | | | | | REF_CLOSE: (4), (9), (16), (21), (23), (24), (35), (41), (53), (55),
% 196.87/33.77  | | | | |            (62), (71), (79), (83), (360) are inconsistent by sub-proof
% 196.87/33.77  | | | | |            #1278.
% 196.87/33.77  | | | | | 
% 196.87/33.77  | | | | End of split
% 196.87/33.77  | | | | 
% 196.87/33.77  | | | End of split
% 196.87/33.77  | | | 
% 196.87/33.77  | | End of split
% 196.87/33.77  | | 
% 196.87/33.77  | End of split
% 196.87/33.77  | 
% 196.87/33.77  End of proof
% 196.87/33.77  
% 196.87/33.77  Sub-proof #1137 shows that the following formulas are inconsistent:
% 196.87/33.77  ----------------------------------------------------------------
% 196.87/33.77    (1)   ~ (e3 = e2)
% 196.87/33.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.77    (3)  all_56_13 = e3
% 196.87/33.77    (4)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.87/33.77    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 196.87/33.77         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.87/33.77    (6)   ~ (e1 = e0)
% 196.87/33.77    (7)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.77             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.87/33.77               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.77               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.87/33.77    (8)   ~ (e2 = e1)
% 196.87/33.77    (9)  op(e0, e0) = e2
% 196.87/33.77    (10)   ~ (e3 = e1)
% 196.87/33.77    (11)  op(e1, e1) = e3
% 196.87/33.77    (12)   ~ (e2 = e0)
% 196.87/33.77    (13)   ~ (e3 = e0)
% 196.87/33.77  
% 196.87/33.77  Begin of proof
% 196.87/33.77  | 
% 196.87/33.77  | BETA: splitting (4) gives:
% 196.87/33.77  | 
% 196.87/33.77  | Case 1:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (14)  all_56_8 = e2 & op(e1, e1) = e2
% 196.87/33.77  | | 
% 196.87/33.77  | | ALPHA: (14) implies:
% 196.87/33.77  | |   (15)  op(e1, e1) = e2
% 196.87/33.77  | | 
% 196.87/33.77  | | REF_CLOSE: (1), (2), (11), (15) are inconsistent by sub-proof #1777.
% 196.87/33.77  | | 
% 196.87/33.77  | Case 2:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (16)  all_56_14 = e2 & op(e0, e1) = e2
% 196.87/33.77  | | 
% 196.87/33.77  | | ALPHA: (16) implies:
% 196.87/33.77  | |   (17)  all_56_14 = e2
% 196.87/33.77  | | 
% 196.87/33.77  | | BETA: splitting (7) gives:
% 196.87/33.77  | | 
% 196.87/33.77  | | Case 1:
% 196.87/33.77  | | | 
% 196.87/33.77  | | |   (18)  all_56_15 = e0 & op(e0, e0) = e0
% 196.87/33.77  | | | 
% 196.87/33.77  | | | ALPHA: (18) implies:
% 196.87/33.77  | | |   (19)  op(e0, e0) = e0
% 196.87/33.77  | | | 
% 196.87/33.77  | | | REF_CLOSE: (2), (9), (12), (19) are inconsistent by sub-proof #1945.
% 196.87/33.77  | | | 
% 196.87/33.77  | | Case 2:
% 196.87/33.77  | | | 
% 196.87/33.77  | | |   (20)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 196.87/33.77  | | |             = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0
% 196.87/33.77  | | |             & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.87/33.77  | | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.87/33.77  | | | 
% 196.87/33.77  | | | ALPHA: (20) implies:
% 196.87/33.77  | | |   (21)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2)
% 196.87/33.77  | | |           = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.87/33.77  | | | 
% 196.87/33.77  | | | REF_CLOSE: (2), (3), (5), (6), (8), (9), (10), (12), (13), (17), (21) are
% 196.87/33.77  | | |            inconsistent by sub-proof #1693.
% 196.87/33.77  | | | 
% 196.87/33.77  | | End of split
% 196.87/33.77  | | 
% 196.87/33.77  | End of split
% 196.87/33.77  | 
% 196.87/33.77  End of proof
% 196.87/33.77  
% 196.87/33.77  Sub-proof #1138 shows that the following formulas are inconsistent:
% 196.87/33.77  ----------------------------------------------------------------
% 196.87/33.77    (1)  all_56_11 = e2 & op(e1, e0) = e2
% 196.87/33.77    (2)  all_56_11 = e1
% 196.87/33.77    (3)   ~ (e2 = e1)
% 196.87/33.77  
% 196.87/33.77  Begin of proof
% 196.87/33.77  | 
% 196.87/33.77  | ALPHA: (1) implies:
% 196.87/33.77  |   (4)  all_56_11 = e2
% 196.87/33.77  | 
% 196.87/33.77  | COMBINE_EQS: (2), (4) imply:
% 196.87/33.77  |   (5)  e2 = e1
% 196.87/33.77  | 
% 196.87/33.77  | REDUCE: (3), (5) imply:
% 196.87/33.77  |   (6)  $false
% 196.87/33.77  | 
% 196.87/33.77  | CLOSE: (6) is inconsistent.
% 196.87/33.77  | 
% 196.87/33.77  End of proof
% 196.87/33.77  
% 196.87/33.77  Sub-proof #1139 shows that the following formulas are inconsistent:
% 196.87/33.77  ----------------------------------------------------------------
% 196.87/33.77    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.77    (2)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.87/33.77           all_57_8 & $i(all_57_8))
% 196.87/33.77    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.87/33.77             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.87/33.77           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 196.87/33.77           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.87/33.77             e1) = e0 & $i(all_57_7))
% 196.87/33.77    (4)   ~ (e2 = e1)
% 196.87/33.77    (5)  op(e0, e0) = e2
% 196.87/33.77  
% 196.87/33.77  Begin of proof
% 196.87/33.77  | 
% 196.87/33.77  | BETA: splitting (3) gives:
% 196.87/33.77  | 
% 196.87/33.77  | Case 1:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (6)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.87/33.77  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.87/33.77  | |        $i(all_57_6)
% 196.87/33.77  | | 
% 196.87/33.77  | | ALPHA: (6) implies:
% 196.87/33.77  | |   (7)  all_57_8 = e0
% 196.87/33.77  | | 
% 196.87/33.77  | | REF_CLOSE: (1), (2), (4), (5), (7) are inconsistent by sub-proof #1658.
% 196.87/33.77  | | 
% 196.87/33.77  | Case 2:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (8)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.87/33.77  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.87/33.77  | |        $i(all_57_7)
% 196.87/33.77  | | 
% 196.87/33.77  | | ALPHA: (8) implies:
% 196.87/33.77  | |   (9)  all_57_8 = e0
% 196.87/33.77  | | 
% 196.87/33.77  | | REF_CLOSE: (1), (2), (4), (5), (9) are inconsistent by sub-proof #1658.
% 196.87/33.77  | | 
% 196.87/33.77  | End of split
% 196.87/33.77  | 
% 196.87/33.77  End of proof
% 196.87/33.77  
% 196.87/33.77  Sub-proof #1140 shows that the following formulas are inconsistent:
% 196.87/33.77  ----------------------------------------------------------------
% 196.87/33.77    (1)  op(e1, e2) = all_52_6
% 196.87/33.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.77    (3)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 196.87/33.77             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 196.87/33.77           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 196.87/33.77           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 196.87/33.77             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 196.87/33.77             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 196.87/33.77           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.87/33.77           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.87/33.77           $i(all_57_7) & $i(all_57_10))
% 196.87/33.77    (4)  op(e3, e1) = e1
% 196.87/33.77    (5)   ~ (e3 = e1)
% 196.87/33.77    (6)   ~ (all_52_6 = e1)
% 196.87/33.77  
% 196.87/33.77  Begin of proof
% 196.87/33.77  | 
% 196.87/33.77  | BETA: splitting (3) gives:
% 196.87/33.77  | 
% 196.87/33.77  | Case 1:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (7)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 196.87/33.77  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 196.87/33.77  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 196.87/33.77  | | 
% 196.87/33.77  | | ALPHA: (7) implies:
% 196.87/33.77  | |   (8)  op(e1, e2) = e1
% 196.87/33.77  | | 
% 196.87/33.77  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1970.
% 196.87/33.77  | | 
% 196.87/33.77  | Case 2:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (9)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.87/33.77  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.87/33.77  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.87/33.77  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 196.87/33.77  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 196.87/33.77  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.87/33.77  | | 
% 196.87/33.77  | | BETA: splitting (9) gives:
% 196.87/33.77  | | 
% 196.87/33.77  | | Case 1:
% 196.87/33.77  | | | 
% 196.87/33.77  | | |   (10)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 196.87/33.77  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.87/33.77  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.87/33.77  | | |         $i(all_57_14)
% 196.87/33.77  | | | 
% 196.87/33.77  | | | ALPHA: (10) implies:
% 196.87/33.77  | | |   (11)  op(e1, e2) = e1
% 196.87/33.77  | | | 
% 196.87/33.77  | | | REF_CLOSE: (1), (2), (6), (11) are inconsistent by sub-proof #1970.
% 196.87/33.77  | | | 
% 196.87/33.77  | | Case 2:
% 196.87/33.77  | | | 
% 196.87/33.77  | | |   (12)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.87/33.77  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.87/33.77  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.87/33.77  | | |         $i(all_57_10)
% 196.87/33.77  | | | 
% 196.87/33.77  | | | ALPHA: (12) implies:
% 196.87/33.77  | | |   (13)  op(e3, e1) = e3
% 196.87/33.77  | | | 
% 196.87/33.77  | | | REF_CLOSE: (2), (4), (5), (13) are inconsistent by sub-proof #1624.
% 196.87/33.77  | | | 
% 196.87/33.77  | | End of split
% 196.87/33.77  | | 
% 196.87/33.77  | End of split
% 196.87/33.77  | 
% 196.87/33.77  End of proof
% 196.87/33.77  
% 196.87/33.77  Sub-proof #1141 shows that the following formulas are inconsistent:
% 196.87/33.77  ----------------------------------------------------------------
% 196.87/33.77    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.87/33.77             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.87/33.77           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 196.87/33.77           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.87/33.77           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 196.87/33.77           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 196.87/33.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.77    (3)  op(e3, e2) = e2
% 196.87/33.77    (4)   ~ (e3 = e2)
% 196.87/33.77  
% 196.87/33.77  Begin of proof
% 196.87/33.77  | 
% 196.87/33.77  | BETA: splitting (1) gives:
% 196.87/33.77  | 
% 196.87/33.77  | Case 1:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (5)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 196.87/33.77  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.87/33.77  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 196.87/33.77  | | 
% 196.87/33.77  | | ALPHA: (5) implies:
% 196.87/33.77  | |   (6)  op(e3, e2) = e3
% 196.87/33.77  | | 
% 196.87/33.77  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #1927.
% 196.87/33.77  | | 
% 196.87/33.77  | Case 2:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (7)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.87/33.77  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.87/33.77  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 196.87/33.77  | | 
% 196.87/33.77  | | ALPHA: (7) implies:
% 196.87/33.77  | |   (8)  op(e3, e2) = e3
% 196.87/33.77  | | 
% 196.87/33.77  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1927.
% 196.87/33.77  | | 
% 196.87/33.77  | End of split
% 196.87/33.77  | 
% 196.87/33.77  End of proof
% 196.87/33.77  
% 196.87/33.77  Sub-proof #1142 shows that the following formulas are inconsistent:
% 196.87/33.77  ----------------------------------------------------------------
% 196.87/33.77    (1)  all_54_9 = all_52_6
% 196.87/33.77    (2)  all_54_9 = e2
% 196.87/33.77    (3)   ~ (all_52_6 = e2)
% 196.87/33.77  
% 196.87/33.77  Begin of proof
% 196.87/33.77  | 
% 196.87/33.77  | COMBINE_EQS: (1), (2) imply:
% 196.87/33.77  |   (4)  all_52_6 = e2
% 196.87/33.77  | 
% 196.87/33.77  | SIMP: (4) implies:
% 196.87/33.77  |   (5)  all_52_6 = e2
% 196.87/33.77  | 
% 196.87/33.77  | REDUCE: (3), (5) imply:
% 196.87/33.77  |   (6)  $false
% 196.87/33.77  | 
% 196.87/33.77  | CLOSE: (6) is inconsistent.
% 196.87/33.77  | 
% 196.87/33.77  End of proof
% 196.87/33.77  
% 196.87/33.77  Sub-proof #1143 shows that the following formulas are inconsistent:
% 196.87/33.77  ----------------------------------------------------------------
% 196.87/33.77    (1)   ~ (e3 = e2)
% 196.87/33.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.77    (3)  op(e2, e2) = e1
% 196.87/33.77    (4)  op(e3, e2) = e2
% 196.87/33.77    (5)   ~ (e3 = e1)
% 196.87/33.77    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.87/33.77           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.87/33.77           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.87/33.77                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.87/33.77               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.87/33.77               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.87/33.77           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.87/33.77           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.77               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.87/33.77           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.87/33.77               = all_57_2 & $i(all_57_2))))
% 196.87/33.77  
% 196.87/33.77  Begin of proof
% 196.87/33.77  | 
% 196.87/33.77  | BETA: splitting (6) gives:
% 196.87/33.77  | 
% 196.87/33.77  | Case 1:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.87/33.77  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.87/33.77  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.87/33.77  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 196.87/33.77  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 196.87/33.77  | |            & $i(all_57_5)))
% 196.87/33.77  | | 
% 196.87/33.77  | | ALPHA: (7) implies:
% 196.87/33.77  | |   (8)  op(e3, e2) = e3
% 196.87/33.77  | | 
% 196.87/33.77  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1927.
% 196.87/33.77  | | 
% 196.87/33.77  | Case 2:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 196.87/33.77  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.87/33.77  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 196.87/33.77  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.87/33.77  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 196.87/33.77  | |            & $i(all_57_2)))
% 196.87/33.77  | | 
% 196.87/33.77  | | ALPHA: (9) implies:
% 196.87/33.77  | |   (10)  op(e2, e2) = e3
% 196.87/33.77  | | 
% 196.87/33.77  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1679.
% 196.87/33.77  | | 
% 196.87/33.77  | End of split
% 196.87/33.77  | 
% 196.87/33.77  End of proof
% 196.87/33.77  
% 196.87/33.77  Sub-proof #1144 shows that the following formulas are inconsistent:
% 196.87/33.77  ----------------------------------------------------------------
% 196.87/33.77    (1)   ~ (all_52_14 = e0)
% 196.87/33.77    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.77         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.87/33.77    (3)   ~ (e3 = e2)
% 196.87/33.77    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.77    (5)  all_56_13 = e3
% 196.87/33.77    (6)  op(e2, e2) = e1
% 196.87/33.77    (7)  op(e1, e0) = all_52_14
% 196.87/33.77    (8)  all_56_4 = e1
% 196.87/33.77    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.87/33.77         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.87/33.77    (10)  all_56_10 = e3
% 196.87/33.77    (11)  op(e3, e3) = e3
% 196.87/33.77    (12)  all_56_1 = e0
% 196.87/33.77    (13)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.77              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.87/33.77                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.77                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.87/33.77    (14)   ~ (e2 = e1)
% 196.87/33.77    (15)  all_56_7 = e2
% 196.87/33.77    (16)  op(e0, e0) = e2
% 196.87/33.77    (17)   ~ (e2 = e0)
% 196.87/33.77    (18)   ~ (e3 = e0)
% 196.87/33.77  
% 196.87/33.77  Begin of proof
% 196.87/33.77  | 
% 196.87/33.77  | BETA: splitting (9) gives:
% 196.87/33.77  | 
% 196.87/33.77  | Case 1:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (19)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 196.87/33.77  | |           e2)
% 196.87/33.77  | | 
% 196.87/33.77  | | BETA: splitting (19) gives:
% 196.87/33.77  | | 
% 196.87/33.77  | | Case 1:
% 196.87/33.77  | | | 
% 196.87/33.77  | | |   (20)  all_56_0 = e2 & op(e3, e3) = e2
% 196.87/33.77  | | | 
% 196.87/33.77  | | | ALPHA: (20) implies:
% 196.87/33.77  | | |   (21)  op(e3, e3) = e2
% 196.87/33.77  | | | 
% 196.87/33.77  | | | REF_CLOSE: (3), (4), (11), (21) are inconsistent by sub-proof #1957.
% 196.87/33.77  | | | 
% 196.87/33.77  | | Case 2:
% 196.87/33.77  | | | 
% 196.87/33.77  | | |   (22)  all_56_1 = e2 & op(e3, e2) = e2
% 196.87/33.77  | | | 
% 196.87/33.77  | | | ALPHA: (22) implies:
% 196.87/33.77  | | |   (23)  all_56_1 = e2
% 196.87/33.77  | | | 
% 196.87/33.77  | | | COMBINE_EQS: (12), (23) imply:
% 196.87/33.77  | | |   (24)  e2 = e0
% 196.87/33.77  | | | 
% 196.87/33.77  | | | SIMP: (24) implies:
% 196.87/33.77  | | |   (25)  e2 = e0
% 196.87/33.77  | | | 
% 196.87/33.77  | | | COMBINE_EQS: (15), (25) imply:
% 196.87/33.77  | | |   (26)  all_56_7 = e0
% 196.87/33.77  | | | 
% 196.87/33.77  | | | REF_CLOSE: (2), (3), (4), (5), (6), (12), (14), (17), (26) are
% 196.87/33.77  | | |            inconsistent by sub-proof #1149.
% 196.87/33.77  | | | 
% 196.87/33.77  | | End of split
% 196.87/33.77  | | 
% 196.87/33.77  | Case 2:
% 196.87/33.77  | | 
% 196.87/33.77  | |   (27)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 196.87/33.77  | |           e2)
% 196.87/33.77  | | 
% 196.87/33.77  | | BETA: splitting (27) gives:
% 196.87/33.77  | | 
% 196.87/33.77  | | Case 1:
% 196.87/33.77  | | | 
% 196.87/33.78  | | |   (28)  all_56_4 = e2 & op(e3, e1) = e2
% 196.87/33.78  | | | 
% 196.87/33.78  | | | ALPHA: (28) implies:
% 196.87/33.78  | | |   (29)  all_56_4 = e2
% 196.87/33.78  | | | 
% 196.87/33.78  | | | REF_CLOSE: (8), (14), (29) are inconsistent by sub-proof #1751.
% 196.87/33.78  | | | 
% 196.87/33.78  | | Case 2:
% 196.87/33.78  | | | 
% 196.87/33.78  | | |   (30)  all_56_9 = e2 & op(e3, e0) = e2
% 196.87/33.78  | | | 
% 196.87/33.78  | | | ALPHA: (30) implies:
% 196.87/33.78  | | |   (31)  all_56_9 = e2
% 196.87/33.78  | | | 
% 196.87/33.78  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (12), (13), (14),
% 196.87/33.78  | | |            (15), (16), (17), (18), (31) are inconsistent by sub-proof
% 196.87/33.78  | | |            #1148.
% 196.87/33.78  | | | 
% 196.87/33.78  | | End of split
% 196.87/33.78  | | 
% 196.87/33.78  | End of split
% 196.87/33.78  | 
% 196.87/33.78  End of proof
% 196.87/33.78  
% 196.87/33.78  Sub-proof #1145 shows that the following formulas are inconsistent:
% 196.87/33.78  ----------------------------------------------------------------
% 196.87/33.78    (1)   ~ (all_28_0 = e1)
% 196.87/33.78    (2)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 196.87/33.78    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.78    (4)  all_54_3 = all_28_0
% 196.87/33.78    (5)   ~ (all_28_0 = e3)
% 196.87/33.78    (6)   ~ (all_28_0 = e2)
% 196.87/33.78    (7)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.87/33.78    (8)  op(e2, e0) = all_52_13
% 196.87/33.78    (9)  op(e1, e0) = all_52_14
% 196.87/33.78    (10)   ~ (all_52_13 = e1)
% 196.87/33.78    (11)  all_56_10 = e3
% 196.87/33.78    (12)   ~ (all_52_14 = all_28_0)
% 196.87/33.78    (13)   ~ (e1 = e0)
% 196.87/33.78    (14)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.78              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.87/33.78                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.78                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.87/33.78    (15)  op(e0, e0) = e2
% 196.87/33.78    (16)   ~ (e2 = e0)
% 196.87/33.78    (17)   ~ (e3 = e0)
% 196.87/33.78  
% 196.87/33.78  Begin of proof
% 196.87/33.78  | 
% 196.87/33.78  | BETA: splitting (7) gives:
% 196.87/33.78  | 
% 196.87/33.78  | Case 1:
% 196.87/33.78  | | 
% 196.87/33.78  | |   (18)  all_56_9 = e1 & op(e3, e0) = e1
% 196.87/33.78  | | 
% 196.87/33.78  | | ALPHA: (18) implies:
% 196.87/33.78  | |   (19)  all_56_9 = e1
% 196.87/33.78  | | 
% 196.87/33.78  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (11), (12), (13), (14), (15),
% 196.87/33.78  | |            (16), (17), (19) are inconsistent by sub-proof #1278.
% 196.87/33.78  | | 
% 196.87/33.78  | Case 2:
% 196.87/33.78  | | 
% 196.87/33.78  | |   (20)  all_56_10 = e1 & op(e2, e0) = e1
% 196.87/33.78  | | 
% 196.87/33.78  | | ALPHA: (20) implies:
% 196.87/33.78  | |   (21)  op(e2, e0) = e1
% 196.87/33.78  | | 
% 196.87/33.78  | | REF_CLOSE: (3), (8), (10), (21) are inconsistent by sub-proof #1650.
% 196.87/33.78  | | 
% 196.87/33.78  | End of split
% 196.87/33.78  | 
% 196.87/33.78  End of proof
% 196.87/33.78  
% 196.87/33.78  Sub-proof #1146 shows that the following formulas are inconsistent:
% 196.87/33.78  ----------------------------------------------------------------
% 196.87/33.78    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.78    (2)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 196.87/33.78             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.87/33.78           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 196.87/33.78           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 196.87/33.78             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 196.87/33.78             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 196.87/33.78    (3)  op(e2, e2) = e1
% 196.87/33.78    (4)  op(e0, e0) = e0
% 196.87/33.78    (5)   ~ (e3 = e1)
% 196.87/33.78    (6)   ~ (e3 = e0)
% 196.87/33.78  
% 196.87/33.78  Begin of proof
% 196.87/33.78  | 
% 196.87/33.78  | BETA: splitting (2) gives:
% 196.87/33.78  | 
% 196.87/33.78  | Case 1:
% 196.87/33.78  | | 
% 196.87/33.78  | |   (7)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 196.87/33.78  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.87/33.78  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 196.87/33.78  | | 
% 196.87/33.78  | | ALPHA: (7) implies:
% 196.87/33.78  | |   (8)  op(e2, e2) = e3
% 196.87/33.78  | | 
% 196.87/33.78  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1679.
% 196.87/33.78  | | 
% 196.87/33.78  | Case 2:
% 196.87/33.78  | | 
% 196.87/33.78  | |   (9)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 196.87/33.78  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 196.87/33.78  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 196.87/33.78  | | 
% 196.87/33.78  | | ALPHA: (9) implies:
% 196.87/33.78  | |   (10)  op(e0, e0) = e3
% 196.87/33.78  | | 
% 196.87/33.78  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1947.
% 196.87/33.78  | | 
% 196.87/33.78  | End of split
% 196.87/33.78  | 
% 196.87/33.78  End of proof
% 196.87/33.78  
% 196.87/33.78  Sub-proof #1147 shows that the following formulas are inconsistent:
% 196.87/33.78  ----------------------------------------------------------------
% 196.87/33.78    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.87/33.78         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.87/33.78    (2)   ~ (all_52_4 = e3)
% 196.87/33.78    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.87/33.78           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.87/33.78           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.87/33.78                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.87/33.78               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.87/33.78               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.87/33.78           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.87/33.78           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.78               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.87/33.78           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.87/33.78               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.87/33.78           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.87/33.78           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.87/33.78               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.78               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.87/33.78               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.78         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.87/33.78           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.87/33.78           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.87/33.78               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.87/33.78             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.78         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.87/33.78           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.87/33.78           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.87/33.78                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.87/33.78               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.87/33.78               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.87/33.78           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.87/33.78           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.87/33.78             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.78           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.87/33.78               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.87/33.78           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.87/33.78           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.87/33.78               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.78               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.87/33.78               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.78         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.87/33.78           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.87/33.78           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.87/33.78               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.87/33.78             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.78         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.87/33.78           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.87/33.78           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.87/33.78                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.87/33.78               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.87/33.78               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.87/33.78           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.87/33.78             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.87/33.78               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.78           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.87/33.78               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.87/33.78           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.87/33.78           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.87/33.78               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.78               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.78               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.87/33.78         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.87/33.78           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.87/33.78           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.87/33.78               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.87/33.78             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.87/33.78         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.87/33.78             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.78           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.87/33.78               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.87/33.78             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.78         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.87/33.78             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.78           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.87/33.78               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.87/33.78             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.78         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.87/33.78             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.87/33.78           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.87/33.78               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.87/33.78             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.78         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.87/33.78             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.87/33.78           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.87/33.78               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.87/33.78             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.87/33.78    (4)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.87/33.78         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.87/33.78    (5)  op(e1, e2) = all_52_6
% 196.87/33.78    (6)   ~ (all_52_14 = e0)
% 196.87/33.78    (7)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.87/33.78         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.87/33.78    (8)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.78         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.87/33.78    (9)   ~ (e3 = e2)
% 196.87/33.78    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.78            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.78    (11)   ~ (all_52_9 = e1)
% 196.87/33.78    (12)  all_56_13 = e3
% 196.87/33.78    (13)  op(e3, e2) = all_52_4
% 196.87/33.78    (14)  op(e2, e2) = all_4_2
% 196.87/33.78    (15)  op(e2, e2) = e1
% 196.87/33.78    (16)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.87/33.78          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.87/33.78    (17)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.87/33.78          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.87/33.78    (18)   ~ (all_57_1 = e1)
% 196.87/33.78    (19)  op(e0, e3) = all_52_3
% 196.87/33.78    (20)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.87/33.78          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.87/33.78            e2)
% 196.87/33.78    (21)  op(e1, e0) = all_52_14
% 196.87/33.78    (22)  all_54_8 = all_52_2
% 196.87/33.78    (23)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.87/33.78          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.87/33.78    (24)  all_56_12 = e1
% 196.87/33.78    (25)   ~ (all_52_2 = all_52_14)
% 196.87/33.78    (26)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.87/33.78          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.87/33.78    (27)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.87/33.78          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.87/33.78    (28)   ~ (all_52_9 = e2)
% 196.87/33.78    (29)   ~ (all_52_12 = e0)
% 196.87/33.78    (30)  op(e1, e3) = all_57_1
% 196.87/33.78    (31)  all_56_10 = e3
% 196.87/33.78    (32)   ~ (all_52_7 = e1)
% 196.87/33.78    (33)  op(e3, e3) = e3
% 196.87/33.78    (34)   ~ (all_4_2 = e3)
% 196.87/33.78    (35)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.87/33.78          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.78    (36)  all_30_2 = e3
% 196.87/33.78    (37)   ~ (all_30_2 = e3) | ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 196.87/33.78            op(e1, e3) = all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 =
% 196.87/33.78              e0) & op(e1, e3) = all_30_1 & $i(all_30_1))
% 196.87/33.78    (38)   ~ (e1 = e0)
% 196.87/33.78    (39)   ~ (all_52_4 = e1)
% 196.87/33.78    (40)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.87/33.78          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.87/33.78    (41)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.78              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.87/33.78                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.78                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.87/33.78    (42)  all_54_8 = e1 | all_54_8 = e0
% 196.87/33.78    (43)   ~ (e2 = e1)
% 196.87/33.78    (44)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.78          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.87/33.78    (45)   ~ (all_52_3 = e0)
% 196.87/33.78    (46)   ~ (all_52_2 = e1)
% 196.87/33.78    (47)  op(e3, e0) = all_52_12
% 196.87/33.78    (48)  op(e2, e1) = all_52_9
% 196.87/33.78    (49)  op(e0, e0) = e0
% 196.87/33.78    (50)   ~ (e3 = e1)
% 196.87/33.78    (51)   ~ (all_52_6 = e1)
% 196.87/33.78    (52)  op(e0, e2) = all_52_7
% 196.87/33.78    (53)  op(e1, e1) = e3
% 196.87/33.78    (54)   ~ (e2 = e0)
% 196.87/33.78    (55)   ~ (e3 = e0)
% 196.87/33.78  
% 196.87/33.78  Begin of proof
% 196.87/33.78  | 
% 196.87/33.78  | BETA: splitting (20) gives:
% 196.87/33.78  | 
% 196.87/33.78  | Case 1:
% 196.87/33.78  | | 
% 196.87/33.78  | |   (56)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 196.87/33.78  | |           e2)
% 196.87/33.78  | | 
% 196.87/33.78  | | BETA: splitting (56) gives:
% 196.87/33.78  | | 
% 196.87/33.78  | | Case 1:
% 196.87/33.78  | | | 
% 196.87/33.78  | | |   (57)  all_56_12 = e2 & op(e0, e3) = e2
% 196.87/33.78  | | | 
% 196.87/33.78  | | | ALPHA: (57) implies:
% 196.87/33.78  | | |   (58)  all_56_12 = e2
% 196.87/33.78  | | | 
% 196.87/33.78  | | | REF_CLOSE: (24), (43), (58) are inconsistent by sub-proof #1622.
% 196.87/33.78  | | | 
% 196.87/33.78  | | Case 2:
% 196.87/33.78  | | | 
% 196.87/33.78  | | |   (59)  all_56_13 = e2 & op(e0, e2) = e2
% 196.87/33.78  | | | 
% 196.87/33.78  | | | REF_CLOSE: (9), (12), (59) are inconsistent by sub-proof #1905.
% 196.87/33.78  | | | 
% 196.87/33.78  | | End of split
% 196.87/33.78  | | 
% 196.87/33.78  | Case 2:
% 196.87/33.78  | | 
% 196.87/33.78  | |   (60)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.87/33.78  | |           e2)
% 196.87/33.78  | | 
% 196.87/33.78  | | BETA: splitting (60) gives:
% 196.87/33.78  | | 
% 196.87/33.78  | | Case 1:
% 196.87/33.78  | | | 
% 196.87/33.78  | | |   (61)  all_56_14 = e2 & op(e0, e1) = e2
% 196.87/33.78  | | | 
% 196.87/33.78  | | | ALPHA: (61) implies:
% 196.87/33.78  | | |   (62)  all_56_14 = e2
% 196.87/33.78  | | | 
% 196.87/33.78  | | | BETA: splitting (27) gives:
% 196.87/33.78  | | | 
% 196.87/33.78  | | | Case 1:
% 196.87/33.78  | | | | 
% 196.87/33.78  | | | |   (63)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2)
% 196.87/33.78  | | | |           = e1)
% 196.87/33.78  | | | | 
% 196.87/33.78  | | | | REF_CLOSE: (5), (10), (18), (30), (51), (63) are inconsistent by
% 196.87/33.78  | | | |            sub-proof #1161.
% 196.87/33.78  | | | | 
% 196.87/33.78  | | | Case 2:
% 196.87/33.78  | | | | 
% 196.87/33.78  | | | |   (64)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0)
% 196.87/33.78  | | | |           = e1)
% 196.87/33.78  | | | | 
% 196.87/33.78  | | | | BETA: splitting (64) gives:
% 196.87/33.78  | | | | 
% 196.87/33.78  | | | | Case 1:
% 196.87/33.78  | | | | | 
% 196.87/33.78  | | | | |   (65)  all_56_8 = e1 & op(e1, e1) = e1
% 196.87/33.78  | | | | | 
% 196.87/33.78  | | | | | ALPHA: (65) implies:
% 196.87/33.78  | | | | |   (66)  op(e1, e1) = e1
% 196.87/33.78  | | | | | 
% 196.87/33.78  | | | | | REF_CLOSE: (10), (50), (53), (66) are inconsistent by sub-proof #1978.
% 196.87/33.78  | | | | | 
% 196.87/33.78  | | | | Case 2:
% 196.87/33.78  | | | | | 
% 196.87/33.78  | | | | |   (67)  all_56_11 = e1 & op(e1, e0) = e1
% 196.87/33.78  | | | | | 
% 196.87/33.78  | | | | | ALPHA: (67) implies:
% 196.87/33.78  | | | | |   (68)  op(e1, e0) = e1
% 196.87/33.78  | | | | | 
% 196.87/33.78  | | | | | BETA: splitting (7) gives:
% 196.87/33.78  | | | | | 
% 196.87/33.78  | | | | | Case 1:
% 196.87/33.78  | | | | | | 
% 196.87/33.78  | | | | | |   (69)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2,
% 196.87/33.78  | | | | | |             e2) = e0)
% 196.87/33.78  | | | | | | 
% 196.87/33.78  | | | | | | REF_CLOSE: (9), (10), (15), (28), (31), (38), (43), (44), (48),
% 196.87/33.78  | | | | | |            (54), (69) are inconsistent by sub-proof #1159.
% 196.87/33.78  | | | | | | 
% 196.87/33.78  | | | | | Case 2:
% 196.87/33.78  | | | | | | 
% 196.87/33.78  | | | | | |   (70)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2,
% 196.87/33.78  | | | | | |             e0) = e0)
% 196.87/33.78  | | | | | | 
% 196.87/33.78  | | | | | | BETA: splitting (70) gives:
% 196.87/33.78  | | | | | | 
% 196.87/33.78  | | | | | | Case 1:
% 196.87/33.78  | | | | | | | 
% 196.87/33.78  | | | | | | |   (71)  all_56_5 = e0 & op(e2, e1) = e0
% 196.87/33.78  | | | | | | | 
% 196.87/33.78  | | | | | | | ALPHA: (71) implies:
% 196.87/33.78  | | | | | | |   (72)  all_56_5 = e0
% 196.87/33.78  | | | | | | | 
% 196.87/33.78  | | | | | | | BETA: splitting (17) gives:
% 196.87/33.78  | | | | | | | 
% 196.87/33.78  | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | 
% 196.87/33.78  | | | | | | | |   (73)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 &
% 196.87/33.78  | | | | | | | |           op(e2, e1) = e1)
% 196.87/33.78  | | | | | | | | 
% 196.87/33.78  | | | | | | | | BETA: splitting (73) gives:
% 196.87/33.78  | | | | | | | | 
% 196.87/33.78  | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | 
% 196.87/33.78  | | | | | | | | |   (74)  all_56_4 = e1 & op(e3, e1) = e1
% 196.87/33.78  | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | ALPHA: (74) implies:
% 196.87/33.78  | | | | | | | | |   (75)  all_56_4 = e1
% 196.87/33.78  | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | BETA: splitting (26) gives:
% 196.87/33.78  | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | |   (76)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 &
% 196.87/33.78  | | | | | | | | | |           op(e3, e2) = e2)
% 196.87/33.78  | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | BETA: splitting (76) gives:
% 196.87/33.78  | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | |   (77)  all_56_0 = e2 & op(e3, e3) = e2
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | ALPHA: (77) implies:
% 196.87/33.78  | | | | | | | | | | |   (78)  op(e3, e3) = e2
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | REF_CLOSE: (9), (10), (33), (78) are inconsistent by
% 196.87/33.78  | | | | | | | | | | |            sub-proof #1957.
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | Case 2:
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | |   (79)  all_56_1 = e2 & op(e3, e2) = e2
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | ALPHA: (79) implies:
% 196.87/33.78  | | | | | | | | | | |   (80)  all_56_1 = e2
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | BETA: splitting (44) gives:
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | |   (81)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 196.87/33.78  | | | | | | | | | | | |           & op(e2, e2) = e2)
% 196.87/33.78  | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | BETA: splitting (81) gives:
% 196.87/33.78  | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | |   (82)  all_56_2 = e2 & op(e2, e3) = e2
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | ALPHA: (82) implies:
% 196.87/33.78  | | | | | | | | | | | | |   (83)  all_56_2 = e2
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | REF_CLOSE: (1), (4), (9), (10), (12), (16), (17), (28), (29),
% 196.87/33.78  | | | | | | | | | | | | |            (31), (32), (33), (35), (38), (43), (44), (47),
% 196.87/33.78  | | | | | | | | | | | | |            (48), (50), (52), (53), (54), (55), (72), (80),
% 196.87/33.78  | | | | | | | | | | | | |            (83) are inconsistent by sub-proof #1151.
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | Case 2:
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | |   (84)  all_56_3 = e2 & op(e2, e2) = e2
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | ALPHA: (84) implies:
% 196.87/33.78  | | | | | | | | | | | | |   (85)  op(e2, e2) = e2
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | REF_CLOSE: (1), (4), (10), (12), (32), (38), (43), (52),
% 196.87/33.78  | | | | | | | | | | | | |            (54), (55), (80), (85) are inconsistent by
% 196.87/33.78  | | | | | | | | | | | | |            sub-proof #1155.
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | End of split
% 196.87/33.78  | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | Case 2:
% 196.87/33.78  | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | |   (86)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 196.87/33.78  | | | | | | | | | | | |           e2 & op(e2, e0) = e2)
% 196.87/33.78  | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | REF_CLOSE: (9), (10), (28), (31), (48), (86) are inconsistent
% 196.87/33.78  | | | | | | | | | | | |            by sub-proof #1160.
% 196.87/33.78  | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | End of split
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | End of split
% 196.87/33.78  | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | Case 2:
% 196.87/33.78  | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | |   (87)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 &
% 196.87/33.78  | | | | | | | | | |           op(e3, e0) = e2)
% 196.87/33.78  | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | BETA: splitting (87) gives:
% 196.87/33.78  | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | |   (88)  all_56_4 = e2 & op(e3, e1) = e2
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | REF_CLOSE: (43), (75), (88) are inconsistent by sub-proof
% 196.87/33.78  | | | | | | | | | | |            #1611.
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | Case 2:
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | |   (89)  all_56_9 = e2 & op(e3, e0) = e2
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | ALPHA: (89) implies:
% 196.87/33.78  | | | | | | | | | | |   (90)  all_56_9 = e2
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | BETA: splitting (44) gives:
% 196.87/33.78  | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | |   (91)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 196.87/33.78  | | | | | | | | | | | |           & op(e2, e2) = e2)
% 196.87/33.78  | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | BETA: splitting (91) gives:
% 196.87/33.78  | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | |   (92)  all_56_2 = e2 & op(e2, e3) = e2
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | ALPHA: (92) implies:
% 196.87/33.78  | | | | | | | | | | | | |   (93)  all_56_2 = e2
% 196.87/33.78  | | | | | | | | | | | | |   (94)  op(e2, e3) = e2
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | BETA: splitting (8) gives:
% 196.87/33.78  | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | |   (95)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.87/33.78  | | | | | | | | | | | | | |           & op(e2, e2) = e2)
% 196.87/33.78  | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 196.87/33.78  | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | |   (96)  all_56_1 = e2 & op(e3, e2) = e2
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | ALPHA: (96) implies:
% 196.87/33.78  | | | | | | | | | | | | | | |   (97)  all_56_1 = e2
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (9), (10), (12), (16), (17), (28), (29),
% 196.87/33.78  | | | | | | | | | | | | | | |            (31), (32), (33), (35), (38), (43), (44), (47),
% 196.87/33.78  | | | | | | | | | | | | | | |            (48), (50), (52), (53), (54), (55), (72), (93),
% 196.87/33.78  | | | | | | | | | | | | | | |            (97) are inconsistent by sub-proof #1151.
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | Case 2:
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | |   (98)  all_56_3 = e2 & op(e2, e2) = e2
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | ALPHA: (98) implies:
% 196.87/33.78  | | | | | | | | | | | | | | |   (99)  op(e2, e2) = e2
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (43), (99) are inconsistent by
% 196.87/33.78  | | | | | | | | | | | | | | |            sub-proof #1783.
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | End of split
% 196.87/33.78  | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | Case 2:
% 196.87/33.78  | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | |   (100)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.87/33.78  | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 196.87/33.78  | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 196.87/33.78  | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | |   (101)  all_56_7 = e2 & op(e1, e2) = e2
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | ALPHA: (101) implies:
% 196.87/33.78  | | | | | | | | | | | | | | |   (102)  all_56_7 = e2
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 196.87/33.78  | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | |   (103)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 196.87/33.78  | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 196.87/33.78  | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 196.87/33.78  | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | |   (104)  all_56_0 = e0 & op(e3, e3) = e0
% 196.87/33.78  | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | | ALPHA: (104) implies:
% 196.87/33.78  | | | | | | | | | | | | | | | | |   (105)  op(e3, e3) = e0
% 196.87/33.78  | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (33), (55), (105) are inconsistent by
% 196.87/33.78  | | | | | | | | | | | | | | | | |            sub-proof #1961.
% 196.87/33.78  | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.78  | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | |   (106)  all_56_1 = e0 & op(e3, e2) = e0
% 196.87/33.78  | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | | ALPHA: (106) implies:
% 196.87/33.78  | | | | | | | | | | | | | | | | |   (107)  all_56_1 = e0
% 196.87/33.78  | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 196.87/33.78  | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | | |   (108)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.78  | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.78  | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.78  | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.78  | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.78  | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.87/33.78  | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.78  | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.87/33.78  | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.87/33.78  | | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 196.87/33.78  | | | | | | | | | | | | | | | | | | 
% 196.87/33.78  | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.78  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |   (109)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |   (110)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (10), (13), (15), (50), (110) are
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1673.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |   (111)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (112)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | ALPHA: (112) implies:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (113)  op(e3, e3) = e1
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (33), (50), (113) are inconsistent by
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (114)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | ALPHA: (114) implies:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (115)  op(e1, e3) = e1
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (18), (30), (115) are inconsistent by
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1326.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |   (116)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | BETA: splitting (116) gives:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |   (117)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (19), (33), (45), (55), (117) are
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1328.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |   (118)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (28), (48), (51), (118) are
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1669.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | |   (119)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |   (120)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | BETA: splitting (120) gives:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |   (121)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (121) gives:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (122)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | ALPHA: (122) implies:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (123)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (53), (55), (68), (123) are inconsistent by
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1271.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (124)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | ALPHA: (124) implies:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (125)  op(e0, e0) = e2
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (10), (12), (15), (21), (31), (41),
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            (43), (54), (55), (90), (102), (107), (125) are
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |   (126)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (127)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | ALPHA: (127) implies:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (128)  op(e1, e1) = e0
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (16), (40), (43), (50), (54), (55),
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            (72), (75), (128) are inconsistent by sub-proof
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            #1554.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (129)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (130)  op(e1, e0) = e0
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (21), (22), (25), (42), (46), (130) are
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1257.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |   (131)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |   (132)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (133)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (134)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (34), (36), (37), (94), (134) are
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1255.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (135)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |   (136)  op(e2, e2) = e2
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (9), (10), (13), (14), (23), (34), (38),
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            (39), (43), (50), (54), (55), (102), (136) are
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1764.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |   (137)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (53), (55), (68), (137) are
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1254.
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | |   (138)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 196.87/33.79  | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 196.87/33.79  | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (16), (17), (29), (38), (43), (47),
% 196.87/33.79  | | | | | | | | | | | | | | | |            (50), (53), (54), (72), (138) are inconsistent by
% 196.87/33.79  | | | | | | | | | | | | | | | |            sub-proof #1152.
% 196.87/33.79  | | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | |   (139)  all_56_13 = e2 & op(e0, e2) = e2
% 196.87/33.79  | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (139) are inconsistent by sub-proof
% 196.87/33.79  | | | | | | | | | | | | | | |            #1905.
% 196.87/33.79  | | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | |   (140)  all_56_3 = e2 & op(e2, e2) = e2
% 196.87/33.79  | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | ALPHA: (140) implies:
% 196.87/33.79  | | | | | | | | | | | | |   (141)  op(e2, e2) = e2
% 196.87/33.79  | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | | REF_CLOSE: (10), (15), (43), (141) are inconsistent by
% 196.87/33.79  | | | | | | | | | | | | |            sub-proof #1783.
% 196.87/33.79  | | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | |   (142)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 196.87/33.79  | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 196.87/33.79  | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | | REF_CLOSE: (9), (10), (28), (31), (48), (142) are
% 196.87/33.79  | | | | | | | | | | | |            inconsistent by sub-proof #1160.
% 196.87/33.79  | | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | |   (143)  all_56_5 = e1 & op(e2, e1) = e1
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | ALPHA: (143) implies:
% 196.87/33.79  | | | | | | | | |   (144)  op(e2, e1) = e1
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | REF_CLOSE: (10), (11), (48), (144) are inconsistent by
% 196.87/33.79  | | | | | | | | |            sub-proof #1755.
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | 
% 196.87/33.79  | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | 
% 196.87/33.79  | | | | | | | |   (145)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 196.87/33.79  | | | | | | | |            op(e0, e1) = e1)
% 196.87/33.79  | | | | | | | | 
% 196.87/33.79  | | | | | | | | BETA: splitting (145) gives:
% 196.87/33.79  | | | | | | | | 
% 196.87/33.79  | | | | | | | | Case 1:
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | |   (146)  all_56_8 = e1 & op(e1, e1) = e1
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | ALPHA: (146) implies:
% 196.87/33.79  | | | | | | | | |   (147)  op(e1, e1) = e1
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | REF_CLOSE: (10), (50), (53), (147) are inconsistent by
% 196.87/33.79  | | | | | | | | |            sub-proof #1978.
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | Case 2:
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | |   (148)  all_56_14 = e1 & op(e0, e1) = e1
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | ALPHA: (148) implies:
% 196.87/33.79  | | | | | | | | |   (149)  all_56_14 = e1
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | | REF_CLOSE: (43), (62), (149) are inconsistent by sub-proof
% 196.87/33.79  | | | | | | | | |            #1815.
% 196.87/33.79  | | | | | | | | | 
% 196.87/33.79  | | | | | | | | End of split
% 196.87/33.79  | | | | | | | | 
% 196.87/33.79  | | | | | | | End of split
% 196.87/33.79  | | | | | | | 
% 196.87/33.79  | | | | | | Case 2:
% 196.87/33.79  | | | | | | | 
% 196.87/33.79  | | | | | | |   (150)  all_56_10 = e0 & op(e2, e0) = e0
% 196.87/33.79  | | | | | | | 
% 196.87/33.79  | | | | | | | ALPHA: (150) implies:
% 196.87/33.79  | | | | | | |   (151)  all_56_10 = e0
% 196.87/33.79  | | | | | | | 
% 196.87/33.79  | | | | | | | REF_CLOSE: (31), (55), (151) are inconsistent by sub-proof #1432.
% 196.87/33.79  | | | | | | | 
% 196.87/33.79  | | | | | | End of split
% 196.87/33.79  | | | | | | 
% 196.87/33.79  | | | | | End of split
% 196.87/33.79  | | | | | 
% 196.87/33.79  | | | | End of split
% 196.87/33.79  | | | | 
% 196.87/33.79  | | | End of split
% 196.87/33.79  | | | 
% 196.87/33.79  | | Case 2:
% 196.87/33.79  | | | 
% 196.87/33.79  | | |   (152)  all_56_15 = e2 & op(e0, e0) = e2
% 196.87/33.79  | | | 
% 196.87/33.79  | | | ALPHA: (152) implies:
% 196.87/33.79  | | |   (153)  op(e0, e0) = e2
% 196.87/33.79  | | | 
% 196.87/33.79  | | | REF_CLOSE: (10), (49), (54), (153) are inconsistent by sub-proof #1945.
% 196.87/33.79  | | | 
% 196.87/33.79  | | End of split
% 196.87/33.79  | | 
% 196.87/33.79  | End of split
% 196.87/33.79  | 
% 196.87/33.79  End of proof
% 196.87/33.79  
% 196.87/33.79  Sub-proof #1148 shows that the following formulas are inconsistent:
% 196.87/33.79  ----------------------------------------------------------------
% 196.87/33.79    (1)   ~ (all_52_14 = e0)
% 196.87/33.79    (2)  all_56_9 = e2
% 196.87/33.79    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.79         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.87/33.79    (4)   ~ (e3 = e2)
% 196.87/33.79    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.79    (6)  all_56_13 = e3
% 196.87/33.79    (7)  op(e2, e2) = e1
% 196.87/33.79    (8)  op(e1, e0) = all_52_14
% 196.87/33.79    (9)  all_56_10 = e3
% 196.87/33.79    (10)  all_56_1 = e0
% 196.87/33.79    (11)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.79              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.87/33.79                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.87/33.79                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.87/33.79    (12)   ~ (e2 = e1)
% 196.87/33.79    (13)  all_56_7 = e2
% 196.87/33.79    (14)  op(e0, e0) = e2
% 196.87/33.79    (15)   ~ (e2 = e0)
% 196.87/33.79    (16)   ~ (e3 = e0)
% 196.87/33.79  
% 196.87/33.79  Begin of proof
% 196.87/33.79  | 
% 196.87/33.79  | BETA: splitting (11) gives:
% 196.87/33.79  | 
% 196.87/33.79  | Case 1:
% 196.87/33.79  | | 
% 196.87/33.79  | |   (17)  all_56_15 = e0 & op(e0, e0) = e0
% 196.87/33.79  | | 
% 196.87/33.79  | | ALPHA: (17) implies:
% 196.87/33.79  | |   (18)  op(e0, e0) = e0
% 196.87/33.79  | | 
% 196.87/33.79  | | REF_CLOSE: (5), (14), (15), (18) are inconsistent by sub-proof #1945.
% 196.87/33.79  | | 
% 196.87/33.79  | Case 2:
% 196.87/33.79  | | 
% 196.87/33.79  | |   (19)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.87/33.79  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 196.87/33.79  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.87/33.79  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.87/33.79  | | 
% 196.87/33.79  | | ALPHA: (19) implies:
% 196.87/33.79  | |   (20)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.87/33.79  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.87/33.79  | | 
% 196.87/33.79  | | BETA: splitting (20) gives:
% 196.87/33.79  | | 
% 196.87/33.79  | | Case 1:
% 196.87/33.79  | | | 
% 196.87/33.79  | | |   (21)  all_56_9 = e0 & op(e3, e0) = e0
% 196.87/33.79  | | | 
% 196.87/33.79  | | | ALPHA: (21) implies:
% 196.87/33.79  | | |   (22)  all_56_9 = e0
% 196.87/33.79  | | | 
% 196.87/33.79  | | | COMBINE_EQS: (2), (22) imply:
% 196.87/33.79  | | |   (23)  e2 = e0
% 196.87/33.79  | | | 
% 196.87/33.79  | | | COMBINE_EQS: (13), (23) imply:
% 196.87/33.79  | | |   (24)  all_56_7 = e0
% 196.87/33.79  | | | 
% 196.87/33.79  | | | REF_CLOSE: (3), (4), (5), (6), (7), (10), (12), (15), (24) are
% 196.87/33.79  | | |            inconsistent by sub-proof #1149.
% 196.87/33.79  | | | 
% 196.87/33.79  | | Case 2:
% 196.87/33.79  | | | 
% 196.87/33.79  | | |   (25)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.87/33.79  | | |           = e0)
% 196.87/33.79  | | | 
% 196.87/33.79  | | | BETA: splitting (25) gives:
% 196.87/33.79  | | | 
% 196.87/33.79  | | | Case 1:
% 196.87/33.79  | | | | 
% 196.87/33.79  | | | |   (26)  all_56_10 = e0 & op(e2, e0) = e0
% 196.87/33.79  | | | | 
% 196.87/33.79  | | | | ALPHA: (26) implies:
% 196.87/33.79  | | | |   (27)  all_56_10 = e0
% 196.87/33.79  | | | | 
% 196.87/33.79  | | | | REF_CLOSE: (9), (16), (27) are inconsistent by sub-proof #1432.
% 196.87/33.79  | | | | 
% 196.87/33.79  | | | Case 2:
% 196.87/33.79  | | | | 
% 196.87/33.79  | | | |   (28)  all_56_11 = e0 & op(e1, e0) = e0
% 196.87/33.79  | | | | 
% 196.87/33.79  | | | | ALPHA: (28) implies:
% 196.87/33.79  | | | |   (29)  op(e1, e0) = e0
% 196.87/33.79  | | | | 
% 196.87/33.79  | | | | REF_CLOSE: (1), (5), (8), (29) are inconsistent by sub-proof #1884.
% 196.87/33.79  | | | | 
% 196.87/33.79  | | | End of split
% 196.87/33.79  | | | 
% 196.87/33.79  | | End of split
% 196.87/33.79  | | 
% 196.87/33.79  | End of split
% 196.87/33.79  | 
% 196.87/33.79  End of proof
% 196.87/33.79  
% 196.87/33.79  Sub-proof #1149 shows that the following formulas are inconsistent:
% 196.87/33.79  ----------------------------------------------------------------
% 196.87/33.79    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.79         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.87/33.79    (2)   ~ (e3 = e2)
% 196.87/33.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (4)  all_56_13 = e3
% 196.87/33.80    (5)  op(e2, e2) = e1
% 196.87/33.80    (6)  all_56_7 = e0
% 196.87/33.80    (7)  all_56_1 = e0
% 196.87/33.80    (8)   ~ (e2 = e1)
% 196.87/33.80    (9)   ~ (e2 = e0)
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (1) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 196.87/33.80  | |           e2)
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (3), (5), (7), (8), (9), (10) are inconsistent by sub-proof
% 196.87/33.80  | |            #1150.
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (11)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 196.87/33.80  | |           e2)
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (2), (4), (6), (9), (11) are inconsistent by sub-proof #1285.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1150 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 196.87/33.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (3)  op(e2, e2) = e1
% 196.87/33.80    (4)  all_56_1 = e0
% 196.87/33.80    (5)   ~ (e2 = e1)
% 196.87/33.80    (6)   ~ (e2 = e0)
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (1) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (4), (6), (7) are inconsistent by sub-proof #1922.
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (8) implies:
% 196.87/33.80  | |   (9)  op(e2, e2) = e2
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1783.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1151 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.87/33.80         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.87/33.80    (2)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.87/33.80         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.87/33.80    (3)   ~ (e3 = e2)
% 196.87/33.80    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (5)  all_56_13 = e3
% 196.87/33.80    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.87/33.80         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.87/33.80    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.87/33.80         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.87/33.80    (8)   ~ (all_52_9 = e2)
% 196.87/33.80    (9)   ~ (all_52_12 = e0)
% 196.87/33.80    (10)  all_56_10 = e3
% 196.87/33.80    (11)   ~ (all_52_7 = e1)
% 196.87/33.80    (12)  op(e3, e3) = e3
% 196.87/33.80    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 196.87/33.80          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.80    (14)  all_56_5 = e0
% 196.87/33.80    (15)   ~ (e1 = e0)
% 196.87/33.80    (16)   ~ (e2 = e1)
% 196.87/33.80    (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.80          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.87/33.80    (18)  op(e3, e0) = all_52_12
% 196.87/33.80    (19)  op(e2, e1) = all_52_9
% 196.87/33.80    (20)  all_56_2 = e2
% 196.87/33.80    (21)   ~ (e3 = e1)
% 196.87/33.80    (22)  op(e0, e2) = all_52_7
% 196.87/33.80    (23)  op(e1, e1) = e3
% 196.87/33.80    (24)   ~ (e2 = e0)
% 196.87/33.80    (25)   ~ (e3 = e0)
% 196.87/33.80    (26)  all_56_1 = e2
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (13) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (27)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 196.87/33.80  | |           e0)
% 196.87/33.80  | | 
% 196.87/33.80  | | BETA: splitting (27) gives:
% 196.87/33.80  | | 
% 196.87/33.80  | | Case 1:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (28)  all_56_0 = e0 & op(e3, e3) = e0
% 196.87/33.80  | | | 
% 196.87/33.80  | | | ALPHA: (28) implies:
% 196.87/33.80  | | |   (29)  op(e3, e3) = e0
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (4), (12), (25), (29) are inconsistent by sub-proof #1961.
% 196.87/33.80  | | | 
% 196.87/33.80  | | Case 2:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (30)  all_56_1 = e0 & op(e3, e2) = e0
% 196.87/33.80  | | | 
% 196.87/33.80  | | | ALPHA: (30) implies:
% 196.87/33.80  | | |   (31)  all_56_1 = e0
% 196.87/33.80  | | | 
% 196.87/33.80  | | | COMBINE_EQS: (26), (31) imply:
% 196.87/33.80  | | |   (32)  e2 = e0
% 196.87/33.80  | | | 
% 196.87/33.80  | | | SIMP: (32) implies:
% 196.87/33.80  | | |   (33)  e2 = e0
% 196.87/33.80  | | | 
% 196.87/33.80  | | | COMBINE_EQS: (20), (33) imply:
% 196.87/33.80  | | |   (34)  all_56_2 = e0
% 196.87/33.80  | | | 
% 196.87/33.80  | | | BETA: splitting (17) gives:
% 196.87/33.80  | | | 
% 196.87/33.80  | | | Case 1:
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | |   (35)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2)
% 196.87/33.80  | | | |           = e2)
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | | BETA: splitting (35) gives:
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | | Case 1:
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | |   (36)  all_56_2 = e2 & op(e2, e3) = e2
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | | REF_CLOSE: (24), (34), (36) are inconsistent by sub-proof #1507.
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | Case 2:
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | |   (37)  all_56_3 = e2 & op(e2, e2) = e2
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | | ALPHA: (37) implies:
% 196.87/33.80  | | | | |   (38)  op(e2, e2) = e2
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | | REF_CLOSE: (1), (2), (4), (5), (11), (15), (16), (22), (24), (25),
% 196.87/33.80  | | | | |            (26), (38) are inconsistent by sub-proof #1155.
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | End of split
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | Case 2:
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | |   (39)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0)
% 196.87/33.80  | | | |           = e2)
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | | REF_CLOSE: (3), (4), (8), (10), (19), (39) are inconsistent by sub-proof
% 196.87/33.80  | | | |            #1160.
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | End of split
% 196.87/33.80  | | | 
% 196.87/33.80  | | End of split
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (40)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 196.87/33.80  | |           e0)
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (3), (4), (6), (7), (9), (14), (15), (16), (18), (21), (23),
% 196.87/33.80  | |            (24), (40) are inconsistent by sub-proof #1152.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1152 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)   ~ (e3 = e2)
% 196.87/33.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.87/33.80         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.87/33.80    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.87/33.80         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.87/33.80    (5)   ~ (all_52_12 = e0)
% 196.87/33.80    (6)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 196.87/33.80    (7)  all_56_5 = e0
% 196.87/33.80    (8)   ~ (e1 = e0)
% 196.87/33.80    (9)   ~ (e2 = e1)
% 196.87/33.80    (10)  op(e3, e0) = all_52_12
% 196.87/33.80    (11)   ~ (e3 = e1)
% 196.87/33.80    (12)  op(e1, e1) = e3
% 196.87/33.80    (13)   ~ (e2 = e0)
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (6) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (14)  all_56_4 = e0 & op(e3, e1) = e0
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (14) implies:
% 196.87/33.80  | |   (15)  all_56_4 = e0
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (11), (12), (13), (15) are
% 196.87/33.80  | |            inconsistent by sub-proof #1153.
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (16)  all_56_9 = e0 & op(e3, e0) = e0
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (16) implies:
% 196.87/33.80  | |   (17)  op(e3, e0) = e0
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (2), (5), (10), (17) are inconsistent by sub-proof #1799.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1153 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)   ~ (e3 = e2)
% 196.87/33.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.87/33.80         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.87/33.80    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.87/33.80         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.87/33.80    (5)  all_56_5 = e0
% 196.87/33.80    (6)   ~ (e1 = e0)
% 196.87/33.80    (7)   ~ (e2 = e1)
% 196.87/33.80    (8)  all_56_4 = e0
% 196.87/33.80    (9)   ~ (e3 = e1)
% 196.87/33.80    (10)  op(e1, e1) = e3
% 196.87/33.80    (11)   ~ (e2 = e0)
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (3) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 196.87/33.80  | |           e2)
% 196.87/33.80  | | 
% 196.87/33.80  | | BETA: splitting (12) gives:
% 196.87/33.80  | | 
% 196.87/33.80  | | Case 1:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (13)  all_56_4 = e2 & op(e3, e1) = e2
% 196.87/33.80  | | | 
% 196.87/33.80  | | | ALPHA: (13) implies:
% 196.87/33.80  | | |   (14)  all_56_4 = e2
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (8), (11), (14) are inconsistent by sub-proof #1823.
% 196.87/33.80  | | | 
% 196.87/33.80  | | Case 2:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (15)  all_56_5 = e2 & op(e2, e1) = e2
% 196.87/33.80  | | | 
% 196.87/33.80  | | | ALPHA: (15) implies:
% 196.87/33.80  | | |   (16)  all_56_5 = e2
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (5), (11), (16) are inconsistent by sub-proof #1860.
% 196.87/33.80  | | | 
% 196.87/33.80  | | End of split
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (17)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 196.87/33.80  | |           e2)
% 196.87/33.80  | | 
% 196.87/33.80  | | BETA: splitting (17) gives:
% 196.87/33.80  | | 
% 196.87/33.80  | | Case 1:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (18)  all_56_8 = e2 & op(e1, e1) = e2
% 196.87/33.80  | | | 
% 196.87/33.80  | | | ALPHA: (18) implies:
% 196.87/33.80  | | |   (19)  op(e1, e1) = e2
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (1), (2), (10), (19) are inconsistent by sub-proof #1777.
% 196.87/33.80  | | | 
% 196.87/33.80  | | Case 2:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (20)  all_56_14 = e2 & op(e0, e1) = e2
% 196.87/33.80  | | | 
% 196.87/33.80  | | | ALPHA: (20) implies:
% 196.87/33.80  | | |   (21)  all_56_14 = e2
% 196.87/33.80  | | | 
% 196.87/33.80  | | | BETA: splitting (4) gives:
% 196.87/33.80  | | | 
% 196.87/33.80  | | | Case 1:
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | |   (22)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1)
% 196.87/33.80  | | | |           = e1)
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | | BETA: splitting (22) gives:
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | | Case 1:
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | |   (23)  all_56_4 = e1 & op(e3, e1) = e1
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | | ALPHA: (23) implies:
% 196.87/33.80  | | | | |   (24)  all_56_4 = e1
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | | REF_CLOSE: (6), (8), (24) are inconsistent by sub-proof #1827.
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | Case 2:
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | |   (25)  all_56_5 = e1 & op(e2, e1) = e1
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | | ALPHA: (25) implies:
% 196.87/33.80  | | | | |   (26)  all_56_5 = e1
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | | REF_CLOSE: (5), (6), (26) are inconsistent by sub-proof #1842.
% 196.87/33.80  | | | | | 
% 196.87/33.80  | | | | End of split
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | Case 2:
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | |   (27)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1)
% 196.87/33.80  | | | |           = e1)
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | | REF_CLOSE: (2), (7), (9), (10), (21), (27) are inconsistent by sub-proof
% 196.87/33.80  | | | |            #1154.
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | End of split
% 196.87/33.80  | | | 
% 196.87/33.80  | | End of split
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1154 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (2)  all_56_14 = e2
% 196.87/33.80    (3)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.87/33.80    (4)   ~ (e2 = e1)
% 196.87/33.80    (5)   ~ (e3 = e1)
% 196.87/33.80    (6)  op(e1, e1) = e3
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (3) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (7) implies:
% 196.87/33.80  | |   (8)  op(e1, e1) = e1
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1978.
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (9)  all_56_14 = e1 & op(e0, e1) = e1
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #1510.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1155 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.87/33.80         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.87/33.80    (2)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.87/33.80         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.87/33.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (4)  all_56_13 = e3
% 196.87/33.80    (5)   ~ (all_52_7 = e1)
% 196.87/33.80    (6)   ~ (e1 = e0)
% 196.87/33.80    (7)   ~ (e2 = e1)
% 196.87/33.80    (8)  op(e2, e2) = e2
% 196.87/33.80    (9)  op(e0, e2) = all_52_7
% 196.87/33.80    (10)   ~ (e2 = e0)
% 196.87/33.80    (11)   ~ (e3 = e0)
% 196.87/33.80    (12)  all_56_1 = e2
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (1) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (13)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 196.87/33.80  | |           e1)
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (3), (7), (8), (12), (13) are inconsistent by sub-proof #1157.
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (14)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 196.87/33.80  | |           e1)
% 196.87/33.80  | | 
% 196.87/33.80  | | BETA: splitting (14) gives:
% 196.87/33.80  | | 
% 196.87/33.80  | | Case 1:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (15)  all_56_7 = e1 & op(e1, e2) = e1
% 196.87/33.80  | | | 
% 196.87/33.80  | | | ALPHA: (15) implies:
% 196.87/33.80  | | |   (16)  all_56_7 = e1
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (2), (3), (4), (6), (8), (10), (11), (12), (16) are
% 196.87/33.80  | | |            inconsistent by sub-proof #1156.
% 196.87/33.80  | | | 
% 196.87/33.80  | | Case 2:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (17)  all_56_13 = e1 & op(e0, e2) = e1
% 196.87/33.80  | | | 
% 196.87/33.80  | | | ALPHA: (17) implies:
% 196.87/33.80  | | |   (18)  op(e0, e2) = e1
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (3), (5), (9), (18) are inconsistent by sub-proof #1649.
% 196.87/33.80  | | | 
% 196.87/33.80  | | End of split
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1156 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.87/33.80         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 196.87/33.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (3)  all_56_13 = e3
% 196.87/33.80    (4)  all_56_7 = e1
% 196.87/33.80    (5)   ~ (e1 = e0)
% 196.87/33.80    (6)  op(e2, e2) = e2
% 196.87/33.80    (7)   ~ (e2 = e0)
% 196.87/33.80    (8)   ~ (e3 = e0)
% 196.87/33.80    (9)  all_56_1 = e2
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (1) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (10)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 196.87/33.80  | |           e0)
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (2), (6), (7), (9), (10) are inconsistent by sub-proof #1788.
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (11)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.87/33.80  | |           e0)
% 196.87/33.80  | | 
% 196.87/33.80  | | BETA: splitting (11) gives:
% 196.87/33.80  | | 
% 196.87/33.80  | | Case 1:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (12)  all_56_7 = e0 & op(e1, e2) = e0
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (4), (5), (12) are inconsistent by sub-proof #1563.
% 196.87/33.80  | | | 
% 196.87/33.80  | | Case 2:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (13)  all_56_13 = e0 & op(e0, e2) = e0
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (3), (8), (13) are inconsistent by sub-proof #1696.
% 196.87/33.80  | | | 
% 196.87/33.80  | | End of split
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1157 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 196.87/33.80    (3)   ~ (e2 = e1)
% 196.87/33.80    (4)  op(e2, e2) = e2
% 196.87/33.80    (5)  all_56_1 = e2
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (2) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (6)  all_56_1 = e1 & op(e3, e2) = e1
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #1158.
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (7)  all_56_3 = e1 & op(e2, e2) = e1
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (7) implies:
% 196.87/33.80  | |   (8)  op(e2, e2) = e1
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1783.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1158 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)  all_56_1 = e1 & op(e3, e2) = e1
% 196.87/33.80    (2)  all_56_1 = e2
% 196.87/33.80    (3)   ~ (e2 = e1)
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | ALPHA: (1) implies:
% 196.87/33.80  |   (4)  all_56_1 = e1
% 196.87/33.80  | 
% 196.87/33.80  | COMBINE_EQS: (2), (4) imply:
% 196.87/33.80  |   (5)  e2 = e1
% 196.87/33.80  | 
% 196.87/33.80  | REDUCE: (3), (5) imply:
% 196.87/33.80  |   (6)  $false
% 196.87/33.80  | 
% 196.87/33.80  | CLOSE: (6) is inconsistent.
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1159 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)   ~ (e3 = e2)
% 196.87/33.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (3)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 196.87/33.80    (4)  op(e2, e2) = e1
% 196.87/33.80    (5)   ~ (all_52_9 = e2)
% 196.87/33.80    (6)  all_56_10 = e3
% 196.87/33.80    (7)   ~ (e1 = e0)
% 196.87/33.80    (8)   ~ (e2 = e1)
% 196.87/33.80    (9)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.80         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.87/33.80    (10)  op(e2, e1) = all_52_9
% 196.87/33.80    (11)   ~ (e2 = e0)
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (3) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (12)  all_56_2 = e0 & op(e2, e3) = e0
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (12) implies:
% 196.87/33.80  | |   (13)  all_56_2 = e0
% 196.87/33.80  | | 
% 196.87/33.80  | | BETA: splitting (9) gives:
% 196.87/33.80  | | 
% 196.87/33.80  | | Case 1:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (14)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 196.87/33.80  | | |           e2)
% 196.87/33.80  | | | 
% 196.87/33.80  | | | BETA: splitting (14) gives:
% 196.87/33.80  | | | 
% 196.87/33.80  | | | Case 1:
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | |   (15)  all_56_2 = e2 & op(e2, e3) = e2
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | | REF_CLOSE: (11), (13), (15) are inconsistent by sub-proof #1507.
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | Case 2:
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | |   (16)  all_56_3 = e2 & op(e2, e2) = e2
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | | ALPHA: (16) implies:
% 196.87/33.80  | | | |   (17)  op(e2, e2) = e2
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | | REF_CLOSE: (2), (4), (8), (17) are inconsistent by sub-proof #1783.
% 196.87/33.80  | | | | 
% 196.87/33.80  | | | End of split
% 196.87/33.80  | | | 
% 196.87/33.80  | | Case 2:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (18)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 196.87/33.80  | | |           e2)
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (1), (2), (5), (6), (10), (18) are inconsistent by sub-proof
% 196.87/33.80  | | |            #1160.
% 196.87/33.80  | | | 
% 196.87/33.80  | | End of split
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (19)  all_56_3 = e0 & op(e2, e2) = e0
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (19) implies:
% 196.87/33.80  | |   (20)  op(e2, e2) = e0
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (2), (4), (7), (20) are inconsistent by sub-proof #1909.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1160 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.87/33.80    (2)   ~ (e3 = e2)
% 196.87/33.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (4)   ~ (all_52_9 = e2)
% 196.87/33.80    (5)  all_56_10 = e3
% 196.87/33.80    (6)  op(e2, e1) = all_52_9
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (1) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (7)  all_56_5 = e2 & op(e2, e1) = e2
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (7) implies:
% 196.87/33.80  | |   (8)  op(e2, e1) = e2
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1942.
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (9)  all_56_10 = e2 & op(e2, e0) = e2
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (9) implies:
% 196.87/33.80  | |   (10)  all_56_10 = e2
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #1399.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1161 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)  op(e1, e2) = all_52_6
% 196.87/33.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (3)   ~ (all_57_1 = e1)
% 196.87/33.80    (4)  op(e1, e3) = all_57_1
% 196.87/33.80    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 196.87/33.80    (6)   ~ (all_52_6 = e1)
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (5) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (7)  all_56_6 = e1 & op(e1, e3) = e1
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (7) implies:
% 196.87/33.80  | |   (8)  op(e1, e3) = e1
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1326.
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (9)  all_56_7 = e1 & op(e1, e2) = e1
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (9) implies:
% 196.87/33.80  | |   (10)  op(e1, e2) = e1
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1970.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1162 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)  all_54_8 = all_52_2
% 196.87/33.80    (2)  all_54_8 = e3
% 196.87/33.80    (3)   ~ (all_52_2 = e3)
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | COMBINE_EQS: (1), (2) imply:
% 196.87/33.80  |   (4)  all_52_2 = e3
% 196.87/33.80  | 
% 196.87/33.80  | SIMP: (4) implies:
% 196.87/33.80  |   (5)  all_52_2 = e3
% 196.87/33.80  | 
% 196.87/33.80  | REDUCE: (3), (5) imply:
% 196.87/33.80  |   (6)  $false
% 196.87/33.80  | 
% 196.87/33.80  | CLOSE: (6) is inconsistent.
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1163 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)  op(e0, e0) = all_14_2
% 196.87/33.80    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.87/33.80         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.87/33.80    (3)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 196.87/33.80    (4)   ~ (e3 = e2)
% 196.87/33.80    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (6)  op(e2, e2) = e1
% 196.87/33.80    (7)   ~ (all_52_14 = e3)
% 196.87/33.80    (8)  op(e1, e0) = all_52_14
% 196.87/33.80    (9)   ~ (all_52_12 = e3)
% 196.87/33.80    (10)   ~ (all_14_2 = e3)
% 196.87/33.80    (11)   ~ (e1 = e0)
% 196.87/33.80    (12)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.87/33.80          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.87/33.80    (13)   ~ (e2 = e1)
% 196.87/33.80    (14)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.80          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.87/33.80    (15)  op(e3, e0) = all_52_12
% 196.87/33.80    (16)   ~ (e3 = e1)
% 196.87/33.80    (17)   ~ (e2 = e0)
% 196.87/33.80    (18)   ~ (e3 = e0)
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (3) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (19)  all_56_2 = e3 & op(e2, e3) = e3
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 196.87/33.80  | |            (14), (15), (17), (18), (19) are inconsistent by sub-proof #1164.
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (20)  all_56_3 = e3 & op(e2, e2) = e3
% 196.87/33.80  | | 
% 196.87/33.80  | | ALPHA: (20) implies:
% 196.87/33.80  | |   (21)  op(e2, e2) = e3
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (5), (6), (16), (21) are inconsistent by sub-proof #1679.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1164 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.80    (1)  op(e0, e0) = all_14_2
% 196.87/33.80    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.87/33.80         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.87/33.80    (3)   ~ (e3 = e2)
% 196.87/33.80    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.80    (5)  op(e2, e2) = e1
% 196.87/33.80    (6)   ~ (all_52_14 = e3)
% 196.87/33.80    (7)  op(e1, e0) = all_52_14
% 196.87/33.80    (8)  all_56_2 = e3 & op(e2, e3) = e3
% 196.87/33.80    (9)   ~ (all_52_12 = e3)
% 196.87/33.80    (10)   ~ (all_14_2 = e3)
% 196.87/33.80    (11)   ~ (e1 = e0)
% 196.87/33.80    (12)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 196.87/33.80          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.87/33.80    (13)   ~ (e2 = e1)
% 196.87/33.80    (14)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.80          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.87/33.80    (15)  op(e3, e0) = all_52_12
% 196.87/33.80    (16)   ~ (e2 = e0)
% 196.87/33.80    (17)   ~ (e3 = e0)
% 196.87/33.80  
% 196.87/33.80  Begin of proof
% 196.87/33.80  | 
% 196.87/33.80  | ALPHA: (8) implies:
% 196.87/33.80  |   (18)  all_56_2 = e3
% 196.87/33.80  |   (19)  op(e2, e3) = e3
% 196.87/33.80  | 
% 196.87/33.80  | BETA: splitting (12) gives:
% 196.87/33.80  | 
% 196.87/33.80  | Case 1:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (20)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 196.87/33.80  | |           e3)
% 196.87/33.80  | | 
% 196.87/33.80  | | BETA: splitting (20) gives:
% 196.87/33.80  | | 
% 196.87/33.80  | | Case 1:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (21)  all_56_9 = e3 & op(e3, e0) = e3
% 196.87/33.80  | | | 
% 196.87/33.80  | | | ALPHA: (21) implies:
% 196.87/33.80  | | |   (22)  op(e3, e0) = e3
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (4), (9), (15), (22) are inconsistent by sub-proof #1964.
% 196.87/33.80  | | | 
% 196.87/33.80  | | Case 2:
% 196.87/33.80  | | | 
% 196.87/33.80  | | |   (23)  all_56_10 = e3 & op(e2, e0) = e3
% 196.87/33.80  | | | 
% 196.87/33.80  | | | ALPHA: (23) implies:
% 196.87/33.80  | | |   (24)  all_56_10 = e3
% 196.87/33.80  | | | 
% 196.87/33.80  | | | REF_CLOSE: (2), (3), (4), (5), (11), (13), (14), (16), (17), (18), (19),
% 196.87/33.80  | | |            (24) are inconsistent by sub-proof #1165.
% 196.87/33.80  | | | 
% 196.87/33.80  | | End of split
% 196.87/33.80  | | 
% 196.87/33.80  | Case 2:
% 196.87/33.80  | | 
% 196.87/33.80  | |   (25)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 196.87/33.80  | |           e3)
% 196.87/33.80  | | 
% 196.87/33.80  | | REF_CLOSE: (1), (4), (6), (7), (10), (25) are inconsistent by sub-proof
% 196.87/33.80  | |            #1249.
% 196.87/33.80  | | 
% 196.87/33.80  | End of split
% 196.87/33.80  | 
% 196.87/33.80  End of proof
% 196.87/33.80  
% 196.87/33.80  Sub-proof #1165 shows that the following formulas are inconsistent:
% 196.87/33.80  ----------------------------------------------------------------
% 196.87/33.81    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 196.87/33.81         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 196.87/33.81    (2)   ~ (e3 = e2)
% 196.87/33.81    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.81    (4)  op(e2, e2) = e1
% 196.87/33.81    (5)  all_56_10 = e3
% 196.87/33.81    (6)  all_56_2 = e3
% 196.87/33.81    (7)   ~ (e1 = e0)
% 196.87/33.81    (8)   ~ (e2 = e1)
% 196.87/33.81    (9)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.81         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.87/33.81    (10)  op(e2, e3) = e3
% 196.87/33.81    (11)   ~ (e2 = e0)
% 196.87/33.81    (12)   ~ (e3 = e0)
% 196.87/33.81  
% 196.87/33.81  Begin of proof
% 196.87/33.81  | 
% 196.87/33.81  | BETA: splitting (1) gives:
% 196.87/33.81  | 
% 196.87/33.81  | Case 1:
% 196.87/33.81  | | 
% 196.87/33.81  | |   (13)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 196.87/33.81  | |           e0)
% 196.87/33.81  | | 
% 196.87/33.81  | | REF_CLOSE: (3), (4), (6), (7), (12), (13) are inconsistent by sub-proof
% 196.87/33.81  | |            #1168.
% 196.87/33.81  | | 
% 196.87/33.81  | Case 2:
% 196.87/33.81  | | 
% 196.87/33.81  | |   (14)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.87/33.81  | |           e0)
% 196.87/33.81  | | 
% 196.87/33.81  | | BETA: splitting (14) gives:
% 196.87/33.81  | | 
% 196.87/33.81  | | Case 1:
% 196.87/33.81  | | | 
% 196.87/33.81  | | |   (15)  all_56_5 = e0 & op(e2, e1) = e0
% 196.87/33.81  | | | 
% 196.87/33.81  | | | ALPHA: (15) implies:
% 196.87/33.81  | | |   (16)  all_56_5 = e0
% 196.87/33.81  | | | 
% 196.87/33.81  | | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (11), (16) are inconsistent
% 196.87/33.81  | | |            by sub-proof #1166.
% 196.87/33.81  | | | 
% 196.87/33.81  | | Case 2:
% 196.87/33.81  | | | 
% 196.87/33.81  | | |   (17)  all_56_10 = e0 & op(e2, e0) = e0
% 196.87/33.81  | | | 
% 196.87/33.81  | | | REF_CLOSE: (5), (12), (17) are inconsistent by sub-proof #1548.
% 196.87/33.81  | | | 
% 196.87/33.81  | | End of split
% 196.87/33.81  | | 
% 196.87/33.81  | End of split
% 196.87/33.81  | 
% 196.87/33.81  End of proof
% 196.87/33.81  
% 196.87/33.81  Sub-proof #1166 shows that the following formulas are inconsistent:
% 196.87/33.81  ----------------------------------------------------------------
% 196.87/33.81    (1)   ~ (e3 = e2)
% 196.87/33.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.81    (3)  op(e2, e2) = e1
% 196.87/33.81    (4)  all_56_10 = e3
% 196.87/33.81    (5)  all_56_5 = e0
% 196.87/33.81    (6)   ~ (e2 = e1)
% 196.87/33.81    (7)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.87/33.81         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.87/33.81    (8)  op(e2, e3) = e3
% 196.87/33.81    (9)   ~ (e2 = e0)
% 196.87/33.81  
% 196.87/33.81  Begin of proof
% 196.87/33.81  | 
% 196.87/33.81  | BETA: splitting (7) gives:
% 196.87/33.81  | 
% 196.87/33.81  | Case 1:
% 196.87/33.81  | | 
% 196.87/33.81  | |   (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 196.87/33.81  | |           e2)
% 196.87/33.81  | | 
% 196.87/33.81  | | REF_CLOSE: (1), (2), (3), (6), (8), (10) are inconsistent by sub-proof
% 196.87/33.81  | |            #1167.
% 196.87/33.81  | | 
% 196.87/33.81  | Case 2:
% 196.87/33.81  | | 
% 196.87/33.81  | |   (11)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 196.87/33.81  | |           e2)
% 196.87/33.81  | | 
% 196.87/33.81  | | BETA: splitting (11) gives:
% 196.87/33.81  | | 
% 196.87/33.81  | | Case 1:
% 196.87/33.81  | | | 
% 196.87/33.81  | | |   (12)  all_56_5 = e2 & op(e2, e1) = e2
% 196.87/33.81  | | | 
% 196.87/33.81  | | | ALPHA: (12) implies:
% 196.87/33.81  | | |   (13)  all_56_5 = e2
% 196.87/33.81  | | | 
% 196.87/33.81  | | | REF_CLOSE: (5), (9), (13) are inconsistent by sub-proof #1860.
% 196.87/33.81  | | | 
% 196.87/33.81  | | Case 2:
% 196.87/33.81  | | | 
% 196.87/33.81  | | |   (14)  all_56_10 = e2 & op(e2, e0) = e2
% 196.87/33.81  | | | 
% 196.87/33.81  | | | REF_CLOSE: (1), (4), (14) are inconsistent by sub-proof #1550.
% 196.87/33.81  | | | 
% 196.87/33.81  | | End of split
% 196.87/33.81  | | 
% 196.87/33.81  | End of split
% 196.87/33.81  | 
% 196.87/33.81  End of proof
% 196.87/33.81  
% 196.87/33.81  Sub-proof #1167 shows that the following formulas are inconsistent:
% 196.87/33.81  ----------------------------------------------------------------
% 196.87/33.81    (1)   ~ (e3 = e2)
% 196.87/33.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.81    (3)  op(e2, e2) = e1
% 196.87/33.81    (4)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 196.87/33.81    (5)   ~ (e2 = e1)
% 196.87/33.81    (6)  op(e2, e3) = e3
% 196.87/33.81  
% 196.87/33.81  Begin of proof
% 196.87/33.81  | 
% 196.87/33.81  | BETA: splitting (4) gives:
% 196.87/33.81  | 
% 196.87/33.81  | Case 1:
% 196.87/33.81  | | 
% 196.87/33.81  | |   (7)  all_56_2 = e2 & op(e2, e3) = e2
% 196.87/33.81  | | 
% 196.87/33.81  | | ALPHA: (7) implies:
% 196.87/33.81  | |   (8)  op(e2, e3) = e2
% 196.87/33.81  | | 
% 196.87/33.81  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1869.
% 196.87/33.81  | | 
% 196.87/33.81  | Case 2:
% 196.87/33.81  | | 
% 196.87/33.81  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 196.87/33.81  | | 
% 196.87/33.81  | | ALPHA: (9) implies:
% 196.87/33.81  | |   (10)  op(e2, e2) = e2
% 196.87/33.81  | | 
% 196.87/33.81  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1783.
% 196.87/33.81  | | 
% 196.87/33.81  | End of split
% 196.87/33.81  | 
% 196.87/33.81  End of proof
% 196.87/33.81  
% 196.87/33.81  Sub-proof #1168 shows that the following formulas are inconsistent:
% 196.87/33.81  ----------------------------------------------------------------
% 196.87/33.81    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.81    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 196.87/33.81    (3)  op(e2, e2) = e1
% 196.87/33.81    (4)  all_56_2 = e3
% 196.87/33.81    (5)   ~ (e1 = e0)
% 196.87/33.81    (6)   ~ (e3 = e0)
% 196.87/33.81  
% 196.87/33.81  Begin of proof
% 196.87/33.81  | 
% 196.87/33.81  | BETA: splitting (2) gives:
% 196.87/33.81  | 
% 196.87/33.81  | Case 1:
% 196.87/33.81  | | 
% 196.87/33.81  | |   (7)  all_56_2 = e0 & op(e2, e3) = e0
% 196.87/33.81  | | 
% 196.87/33.81  | | REF_CLOSE: (4), (6), (7) are inconsistent by sub-proof #1729.
% 196.87/33.81  | | 
% 196.87/33.81  | Case 2:
% 196.87/33.81  | | 
% 196.87/33.81  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 196.87/33.81  | | 
% 196.87/33.81  | | ALPHA: (8) implies:
% 196.87/33.81  | |   (9)  op(e2, e2) = e0
% 196.87/33.81  | | 
% 196.87/33.81  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #1909.
% 196.87/33.81  | | 
% 196.87/33.81  | End of split
% 196.87/33.81  | 
% 196.87/33.81  End of proof
% 196.87/33.81  
% 196.87/33.81  Sub-proof #1169 shows that the following formulas are inconsistent:
% 196.87/33.81  ----------------------------------------------------------------
% 196.87/33.81    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.87/33.81             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.87/33.81           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.87/33.81               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.87/33.81             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.87/33.81         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.87/33.81             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.87/33.81           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.87/33.81               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.87/33.81             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.87/33.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.87/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.87/33.81    (3)  op(e0, e0) = e2
% 196.87/33.81    (4)   ~ (e3 = e1)
% 196.87/33.81    (5)  op(e1, e1) = e3
% 196.87/33.81    (6)   ~ (e2 = e0)
% 196.87/33.81  
% 196.87/33.81  Begin of proof
% 196.87/33.81  | 
% 196.87/33.81  | BETA: splitting (1) gives:
% 196.87/33.81  | 
% 196.87/33.81  | Case 1:
% 196.87/33.81  | | 
% 196.87/33.81  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 196.87/33.81  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.87/33.81  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.87/33.81  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.87/33.81  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.87/33.81  | |              e1) = all_57_8 & $i(all_57_8)))
% 196.87/33.81  | | 
% 196.87/33.81  | | ALPHA: (7) implies:
% 196.87/33.81  | |   (8)  op(e1, e1) = e1
% 196.87/33.81  | | 
% 196.87/33.81  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1978.
% 196.87/33.81  | | 
% 196.87/33.81  | Case 2:
% 196.87/33.81  | | 
% 196.87/33.81  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 196.87/33.81  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.87/33.81  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.87/33.81  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 196.87/33.81  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.87/33.81  | |              e0) = all_57_13 & $i(all_57_13)))
% 196.87/33.81  | | 
% 196.87/33.81  | | ALPHA: (9) implies:
% 196.87/33.81  | |   (10)  op(e0, e0) = e0
% 196.87/33.81  | | 
% 196.87/33.81  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1945.
% 196.87/33.81  | | 
% 196.87/33.81  | End of split
% 196.87/33.81  | 
% 196.97/33.81  End of proof
% 196.97/33.81  
% 196.97/33.81  Sub-proof #1170 shows that the following formulas are inconsistent:
% 196.97/33.81  ----------------------------------------------------------------
% 196.97/33.81    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.81    (2)  op(e3, e3) = e1
% 196.97/33.81    (3)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.97/33.81             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.81           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.97/33.81               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.97/33.81             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.81         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.97/33.81             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.81           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.97/33.81               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.81             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.97/33.81    (4)  op(e2, e2) = e0
% 196.97/33.81    (5)   ~ (e3 = e1)
% 196.97/33.81    (6)   ~ (e2 = e0)
% 196.97/33.81  
% 196.97/33.81  Begin of proof
% 196.97/33.81  | 
% 196.97/33.81  | BETA: splitting (3) gives:
% 196.97/33.81  | 
% 196.97/33.81  | Case 1:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (7)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.81  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.97/33.81  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.81  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.97/33.81  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.97/33.81  | |              e3) = all_57_2 & $i(all_57_2)))
% 196.97/33.81  | | 
% 196.97/33.81  | | ALPHA: (7) implies:
% 196.97/33.81  | |   (8)  op(e3, e3) = e3
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1966.
% 196.97/33.81  | | 
% 196.97/33.81  | Case 2:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (9)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.81  | |            e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.97/33.81  | |            $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.81  | |            (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 196.97/33.81  | |        ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.81  | |              e2) = all_57_5 & $i(all_57_5)))
% 196.97/33.81  | | 
% 196.97/33.81  | | ALPHA: (9) implies:
% 196.97/33.81  | |   (10)  op(e2, e2) = e2
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1939.
% 196.97/33.81  | | 
% 196.97/33.81  | End of split
% 196.97/33.81  | 
% 196.97/33.81  End of proof
% 196.97/33.81  
% 196.97/33.81  Sub-proof #1171 shows that the following formulas are inconsistent:
% 196.97/33.81  ----------------------------------------------------------------
% 196.97/33.81    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.81    (2)   ~ (e2 = e1)
% 196.97/33.81    (3)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.97/33.81           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.97/33.81           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.97/33.81                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 196.97/33.81               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.81               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 196.97/33.81           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 196.97/33.81             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.97/33.81               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.81           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.97/33.81               = all_57_7 & $i(all_57_7))))
% 196.97/33.81    (4)  op(e0, e0) = e2
% 196.97/33.81    (5)  op(e1, e1) = e3
% 196.97/33.81    (6)   ~ (e3 = e0)
% 196.97/33.81  
% 196.97/33.81  Begin of proof
% 196.97/33.81  | 
% 196.97/33.81  | BETA: splitting (3) gives:
% 196.97/33.81  | 
% 196.97/33.81  | Case 1:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (7)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 196.97/33.81  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.97/33.81  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.97/33.81  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 196.97/33.81  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.97/33.81  | |            all_57_11 & $i(all_57_11)))
% 196.97/33.81  | | 
% 196.97/33.81  | | ALPHA: (7) implies:
% 196.97/33.81  | |   (8)  op(e1, e1) = e0
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1824.
% 196.97/33.81  | | 
% 196.97/33.81  | Case 2:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (9)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 196.97/33.81  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.97/33.81  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.97/33.81  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.97/33.81  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 196.97/33.81  | |            & $i(all_57_7)))
% 196.97/33.81  | | 
% 196.97/33.81  | | ALPHA: (9) implies:
% 196.97/33.81  | |   (10)  op(e0, e0) = e1
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1780.
% 196.97/33.81  | | 
% 196.97/33.81  | End of split
% 196.97/33.81  | 
% 196.97/33.81  End of proof
% 196.97/33.81  
% 196.97/33.81  Sub-proof #1172 shows that the following formulas are inconsistent:
% 196.97/33.81  ----------------------------------------------------------------
% 196.97/33.81    (1)   ~ (all_52_13 = e2)
% 196.97/33.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.81    (3)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.97/33.81           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.97/33.81           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.97/33.81                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.97/33.81               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.81               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.97/33.81           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.97/33.81             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.97/33.81               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.81           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.97/33.81               = all_57_4 & $i(all_57_4))))
% 196.97/33.81    (4)  op(e2, e0) = all_52_13
% 196.97/33.81    (5)   ~ (all_52_13 = e0)
% 196.97/33.81  
% 196.97/33.81  Begin of proof
% 196.97/33.81  | 
% 196.97/33.81  | BETA: splitting (3) gives:
% 196.97/33.81  | 
% 196.97/33.81  | Case 1:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (6)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.97/33.81  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.97/33.81  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.97/33.81  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 196.97/33.81  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.97/33.81  | |            all_57_13 & $i(all_57_13)))
% 196.97/33.81  | | 
% 196.97/33.81  | | ALPHA: (6) implies:
% 196.97/33.81  | |   (7)  op(e2, e0) = e2
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1662.
% 196.97/33.81  | | 
% 196.97/33.81  | Case 2:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (8)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 196.97/33.81  | |        all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.97/33.81  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.97/33.81  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.97/33.81  | |            & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 196.97/33.81  | |            & $i(all_57_4)))
% 196.97/33.81  | | 
% 196.97/33.81  | | ALPHA: (8) implies:
% 196.97/33.81  | |   (9)  op(e2, e0) = e0
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1173.
% 196.97/33.81  | | 
% 196.97/33.81  | End of split
% 196.97/33.81  | 
% 196.97/33.81  End of proof
% 196.97/33.81  
% 196.97/33.81  Sub-proof #1173 shows that the following formulas are inconsistent:
% 196.97/33.81  ----------------------------------------------------------------
% 196.97/33.81    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.81    (2)  op(e2, e0) = all_52_13
% 196.97/33.81    (3)  op(e2, e0) = e0
% 196.97/33.81    (4)   ~ (all_52_13 = e0)
% 196.97/33.81  
% 196.97/33.81  Begin of proof
% 196.97/33.81  | 
% 196.97/33.81  | GROUND_INST: instantiating (1) with all_52_13, e0, e0, e2, simplifying with
% 196.97/33.81  |              (2), (3) gives:
% 196.97/33.81  |   (5)  all_52_13 = e0
% 196.97/33.81  | 
% 196.97/33.81  | REDUCE: (4), (5) imply:
% 196.97/33.81  |   (6)  $false
% 196.97/33.81  | 
% 196.97/33.81  | CLOSE: (6) is inconsistent.
% 196.97/33.81  | 
% 196.97/33.81  End of proof
% 196.97/33.81  
% 196.97/33.81  Sub-proof #1174 shows that the following formulas are inconsistent:
% 196.97/33.81  ----------------------------------------------------------------
% 196.97/33.81    (1)   ~ (e3 = e2)
% 196.97/33.81    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.81    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.97/33.81           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.97/33.81           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.97/33.81                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 196.97/33.81               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.97/33.81               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.97/33.81           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 196.97/33.81           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.97/33.81               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.81           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.97/33.81               = all_57_5 & $i(all_57_5))))
% 196.97/33.81    (4)   ~ (e1 = e0)
% 196.97/33.81    (5)  op(e2, e2) = e0
% 196.97/33.81    (6)  op(e1, e1) = e3
% 196.97/33.81  
% 196.97/33.81  Begin of proof
% 196.97/33.81  | 
% 196.97/33.81  | BETA: splitting (3) gives:
% 196.97/33.81  | 
% 196.97/33.81  | Case 1:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 196.97/33.81  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 196.97/33.81  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.97/33.81  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 196.97/33.81  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 196.97/33.81  | |            & $i(all_57_8)))
% 196.97/33.81  | | 
% 196.97/33.81  | | ALPHA: (7) implies:
% 196.97/33.81  | |   (8)  op(e2, e2) = e1
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1909.
% 196.97/33.81  | | 
% 196.97/33.81  | Case 2:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 196.97/33.81  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.97/33.81  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.97/33.81  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.97/33.81  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 196.97/33.81  | |            & $i(all_57_5)))
% 196.97/33.81  | | 
% 196.97/33.81  | | ALPHA: (9) implies:
% 196.97/33.81  | |   (10)  op(e1, e1) = e2
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1777.
% 196.97/33.81  | | 
% 196.97/33.81  | End of split
% 196.97/33.81  | 
% 196.97/33.81  End of proof
% 196.97/33.81  
% 196.97/33.81  Sub-proof #1175 shows that the following formulas are inconsistent:
% 196.97/33.81  ----------------------------------------------------------------
% 196.97/33.81    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.81    (2)  all_56_11 = e2
% 196.97/33.81    (3)   ~ (e2 = e1)
% 196.97/33.81    (4)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.97/33.81    (5)   ~ (e3 = e1)
% 196.97/33.81    (6)  op(e1, e1) = e3
% 196.97/33.81  
% 196.97/33.81  Begin of proof
% 196.97/33.81  | 
% 196.97/33.81  | BETA: splitting (4) gives:
% 196.97/33.81  | 
% 196.97/33.81  | Case 1:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 196.97/33.81  | | 
% 196.97/33.81  | | ALPHA: (7) implies:
% 196.97/33.81  | |   (8)  op(e1, e1) = e1
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1978.
% 196.97/33.81  | | 
% 196.97/33.81  | Case 2:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (9)  all_56_11 = e1 & op(e1, e0) = e1
% 196.97/33.81  | | 
% 196.97/33.81  | | ALPHA: (9) implies:
% 196.97/33.81  | |   (10)  all_56_11 = e1
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (2), (3), (10) are inconsistent by sub-proof #1615.
% 196.97/33.81  | | 
% 196.97/33.81  | End of split
% 196.97/33.81  | 
% 196.97/33.81  End of proof
% 196.97/33.81  
% 196.97/33.81  Sub-proof #1176 shows that the following formulas are inconsistent:
% 196.97/33.81  ----------------------------------------------------------------
% 196.97/33.81    (1)  op(e1, e3) = all_52_2
% 196.97/33.81    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.97/33.81         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.97/33.81    (3)   ~ (e3 = e2)
% 196.97/33.81    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.81    (5)  op(e3, e3) = e1
% 196.97/33.81    (6)  all_56_6 = e0
% 196.97/33.81    (7)   ~ (all_52_2 = e3)
% 196.97/33.81    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 196.97/33.81         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 196.97/33.81    (9)   ~ (e2 = e1)
% 196.97/33.81    (10)  all_56_2 = e0
% 196.97/33.81    (11)   ~ (e3 = e1)
% 196.97/33.81    (12)   ~ (e2 = e0)
% 196.97/33.81    (13)   ~ (e3 = e0)
% 196.97/33.81  
% 196.97/33.81  Begin of proof
% 196.97/33.81  | 
% 196.97/33.81  | BETA: splitting (8) gives:
% 196.97/33.81  | 
% 196.97/33.81  | Case 1:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 196.97/33.81  | |           e3)
% 196.97/33.81  | | 
% 196.97/33.81  | | REF_CLOSE: (4), (5), (10), (11), (13), (14) are inconsistent by sub-proof
% 196.97/33.81  | |            #1463.
% 196.97/33.81  | | 
% 196.97/33.81  | Case 2:
% 196.97/33.81  | | 
% 196.97/33.81  | |   (15)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 196.97/33.81  | |           e3)
% 196.97/33.81  | | 
% 196.97/33.81  | | BETA: splitting (15) gives:
% 196.97/33.81  | | 
% 196.97/33.81  | | Case 1:
% 196.97/33.81  | | | 
% 196.97/33.81  | | |   (16)  all_56_6 = e3 & op(e1, e3) = e3
% 196.97/33.81  | | | 
% 196.97/33.81  | | | ALPHA: (16) implies:
% 196.97/33.81  | | |   (17)  op(e1, e3) = e3
% 196.97/33.81  | | | 
% 196.97/33.81  | | | REF_CLOSE: (1), (4), (7), (17) are inconsistent by sub-proof #1179.
% 196.97/33.81  | | | 
% 196.97/33.81  | | Case 2:
% 196.97/33.81  | | | 
% 196.97/33.81  | | |   (18)  all_56_12 = e3 & op(e0, e3) = e3
% 196.97/33.81  | | | 
% 196.97/33.81  | | | ALPHA: (18) implies:
% 196.97/33.81  | | |   (19)  all_56_12 = e3
% 196.97/33.81  | | | 
% 196.97/33.81  | | | BETA: splitting (2) gives:
% 196.97/33.81  | | | 
% 196.97/33.81  | | | Case 1:
% 196.97/33.81  | | | | 
% 196.97/33.81  | | | |   (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 196.97/33.81  | | | |           = e2)
% 196.97/33.81  | | | | 
% 196.97/33.81  | | | | REF_CLOSE: (4), (5), (9), (10), (12), (20) are inconsistent by sub-proof
% 196.97/33.81  | | | |            #1364.
% 196.97/33.81  | | | | 
% 196.97/33.81  | | | Case 2:
% 196.97/33.81  | | | | 
% 196.97/33.81  | | | |   (21)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3)
% 196.97/33.81  | | | |           = e2)
% 196.97/33.81  | | | | 
% 196.97/33.81  | | | | REF_CLOSE: (3), (6), (12), (19), (21) are inconsistent by sub-proof
% 196.97/33.81  | | | |            #1847.
% 196.97/33.81  | | | | 
% 196.97/33.81  | | | End of split
% 196.97/33.81  | | | 
% 196.97/33.81  | | End of split
% 196.97/33.81  | | 
% 196.97/33.81  | End of split
% 196.97/33.81  | 
% 196.97/33.81  End of proof
% 196.97/33.81  
% 196.97/33.81  Sub-proof #1177 shows that the following formulas are inconsistent:
% 196.97/33.81  ----------------------------------------------------------------
% 196.97/33.81    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.97/33.81         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.97/33.81    (2)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.97/33.81    (3)  all_54_0 = all_6_2
% 196.97/33.81    (4)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 196.97/33.81         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 196.97/33.81    (5)  op(e1, e3) = all_52_2
% 196.97/33.82    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.97/33.82           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.97/33.82           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.97/33.82                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.97/33.82               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.97/33.82               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.97/33.82           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.97/33.82           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.82               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.97/33.82           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.97/33.82               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.97/33.82           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.97/33.82           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.97/33.82               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.82               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.97/33.82               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.82         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.97/33.82           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.97/33.82           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.97/33.82               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.97/33.82             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.82         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.97/33.82           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.97/33.82           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.97/33.82                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.97/33.82               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.97/33.82               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.97/33.82           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.97/33.82           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.97/33.82             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.82           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.97/33.82               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.97/33.82           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.97/33.82           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.97/33.82               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.82               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.97/33.82               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.82         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.97/33.82           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.97/33.82           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.97/33.82               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.82             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.82         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.97/33.82           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.97/33.82           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.97/33.82                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.97/33.82               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.82               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.97/33.82           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.97/33.82             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.97/33.82               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.82           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.97/33.82               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.97/33.82           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.97/33.82           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.97/33.82               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.82               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.82               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.97/33.82         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.97/33.82           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.97/33.82           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.97/33.82               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.97/33.82             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.97/33.82         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.97/33.82             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.82           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.97/33.82               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.97/33.82             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.82         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.97/33.82             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.82           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.97/33.82               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.82             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.82         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.97/33.82             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.82           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.97/33.82               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.97/33.82             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.82         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.97/33.82             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.82           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.97/33.82               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.97/33.82             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.97/33.82    (7)  op(e1, e2) = all_52_6
% 196.97/33.82    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.97/33.82         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.97/33.82    (9)   ~ (all_52_8 = all_6_2)
% 196.97/33.82    (10)  op(e3, e3) = all_6_2
% 196.97/33.82    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.97/33.82          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.97/33.82    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.97/33.82          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.97/33.82    (13)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.97/33.82          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.97/33.82    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.97/33.82          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.97/33.82    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.97/33.82          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.97/33.82    (16)   ~ (e3 = e2)
% 196.97/33.82    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.82    (18)   ~ (all_6_2 = e0)
% 196.97/33.82    (19)   ~ (all_52_3 = all_6_2)
% 196.97/33.82    (20)  op(e3, e2) = all_52_4
% 196.97/33.82    (21)  op(e2, e2) = all_4_2
% 196.97/33.82    (22)  op(e3, e3) = e1
% 196.97/33.82    (23)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 196.97/33.82          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.97/33.82    (24)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.97/33.82          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.97/33.82    (25)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.97/33.82          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.97/33.82    (26)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.97/33.82    (27)   ~ (all_52_4 = all_52_8)
% 196.97/33.82    (28)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.97/33.82          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.97/33.82    (29)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.97/33.82          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.97/33.82            e1)
% 196.97/33.82    (30)   ~ (all_52_4 = all_6_2)
% 196.97/33.82    (31)  all_56_14 = e1 & op(e0, e1) = e1
% 196.97/33.82    (32)  op(e0, e3) = all_52_3
% 196.97/33.82    (33)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.97/33.82          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.97/33.82            e2)
% 196.97/33.82    (34)  op(e2, e0) = all_52_13
% 196.97/33.82    (35)   ~ (all_52_2 = all_6_2)
% 196.97/33.82    (36)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.97/33.82          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.97/33.82    (37)   ~ (all_52_4 = all_52_12)
% 196.97/33.82    (38)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.97/33.82              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.97/33.82            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.97/33.82            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.97/33.82            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.97/33.82            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.97/33.82            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.97/33.82            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.97/33.82            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.97/33.82            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.97/33.82            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.97/33.82            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.97/33.82            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.97/33.82            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.97/33.82            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.97/33.82            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.97/33.82            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.97/33.82            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.97/33.82            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.97/33.82            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.97/33.82            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.97/33.82            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.82            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.97/33.82            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.97/33.82            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.97/33.82            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.97/33.82            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.97/33.82            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.97/33.82            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.82            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.97/33.82            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.97/33.82            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.97/33.82            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.97/33.82            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.97/33.82            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.82            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.97/33.82            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.97/33.82            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.97/33.82            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.97/33.82            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.97/33.82            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.97/33.82            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.97/33.82            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.97/33.82            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.97/33.82            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.97/33.82            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.97/33.82            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.97/33.82            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.97/33.82              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.97/33.82            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.97/33.82            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.97/33.82              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.97/33.82            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.97/33.82            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.97/33.82                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.97/33.82                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.82                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.97/33.82                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.97/33.82                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.97/33.82                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.97/33.82                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.97/33.82              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.97/33.82                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.97/33.82                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.97/33.82                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.97/33.82                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.97/33.82                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.97/33.82                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.97/33.82                $i(all_57_7))))
% 196.97/33.82    (39)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.97/33.82          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.97/33.82    (40)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.97/33.82          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.97/33.82    (41)   ~ (all_52_4 = all_4_2)
% 196.97/33.82    (42)  op(e0, e1) = all_52_11
% 196.97/33.82    (43)   ~ (all_52_2 = e3)
% 196.97/33.82    (44)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.97/33.82            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.97/33.82              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.97/33.82    (45)   ~ (all_4_2 = e1)
% 196.97/33.82    (46)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.97/33.82          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.97/33.82    (47)   ~ (all_4_2 = e3)
% 196.97/33.82    (48)   ~ (all_52_12 = all_6_2)
% 196.97/33.82    (49)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.97/33.82          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.97/33.82    (50)   ~ (e1 = e0)
% 196.97/33.82    (51)   ~ (all_52_1 = all_52_13)
% 196.97/33.82    (52)   ~ (all_52_4 = e1)
% 196.97/33.82    (53)   ~ (all_52_6 = e3)
% 196.97/33.82    (54)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 196.97/33.82          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 196.97/33.82    (55)  all_24_2 = all_4_2
% 196.97/33.82    (56)  all_54_5 = all_4_2
% 196.97/33.82    (57)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.97/33.82          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.97/33.82    (58)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.97/33.82              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.97/33.82                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.97/33.82                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.97/33.82    (59)   ~ (e2 = e1)
% 196.97/33.82    (60)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.97/33.82          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.97/33.82    (61)   ~ (all_52_13 = all_4_2)
% 196.97/33.82    (62)  op(e3, e0) = all_52_12
% 196.97/33.82    (63)  all_36_2 = all_4_2
% 196.97/33.82    (64)   ~ (all_52_9 = all_4_2)
% 196.97/33.82    (65)  op(e2, e1) = all_52_9
% 196.97/33.82    (66)  all_56_12 = e2
% 196.97/33.82    (67)   ~ (all_52_6 = all_4_2)
% 196.97/33.82    (68)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.97/33.82            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.97/33.82              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.97/33.82    (69)  op(e3, e1) = all_52_8
% 196.97/33.82    (70)  op(e0, e0) = e2
% 196.97/33.82    (71)   ~ (all_52_9 = all_52_13)
% 196.97/33.82    (72)   ~ (e3 = e1)
% 196.97/33.82    (73)  op(e1, e1) = e3
% 196.97/33.82    (74)   ~ (e2 = e0)
% 196.97/33.82    (75)  op(e2, e3) = all_52_1
% 196.97/33.82    (76)   ~ (all_6_2 = e2)
% 196.97/33.82    (77)   ~ (e3 = e0)
% 196.97/33.82    (78)  all_32_2 = all_4_2
% 196.97/33.82    (79)   ~ (all_24_2 = e1) | ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 196.97/33.82            op(e2, e1) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 =
% 196.97/33.82              e0) & op(e2, e1) = all_24_1 & $i(all_24_1))
% 196.97/33.82    (80)   ~ (all_52_3 = all_52_11)
% 196.97/33.82  
% 196.97/33.82  Begin of proof
% 196.97/33.82  | 
% 196.97/33.82  | ALPHA: (31) implies:
% 196.97/33.82  |   (81)  all_56_14 = e1
% 196.97/33.82  | 
% 196.97/33.82  | BETA: splitting (58) gives:
% 196.97/33.82  | 
% 196.97/33.82  | Case 1:
% 196.97/33.82  | | 
% 196.97/33.82  | |   (82)  all_56_15 = e0 & op(e0, e0) = e0
% 196.97/33.82  | | 
% 196.97/33.82  | | ALPHA: (82) implies:
% 196.97/33.82  | |   (83)  op(e0, e0) = e0
% 196.97/33.82  | | 
% 196.97/33.82  | | REF_CLOSE: (17), (70), (74), (83) are inconsistent by sub-proof #1945.
% 196.97/33.82  | | 
% 196.97/33.82  | Case 2:
% 196.97/33.82  | | 
% 196.97/33.82  | |   (84)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 196.97/33.82  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 196.97/33.82  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 196.97/33.82  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 196.97/33.82  | | 
% 196.97/33.82  | | ALPHA: (84) implies:
% 196.97/33.82  | |   (85)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 196.97/33.82  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.97/33.82  | | 
% 196.97/33.82  | | BETA: splitting (85) gives:
% 196.97/33.82  | | 
% 196.97/33.82  | | Case 1:
% 196.97/33.82  | | | 
% 196.97/33.82  | | |   (86)  all_56_12 = e0 & op(e0, e3) = e0
% 196.97/33.82  | | | 
% 196.97/33.82  | | | ALPHA: (86) implies:
% 196.97/33.82  | | |   (87)  all_56_12 = e0
% 196.97/33.82  | | | 
% 196.97/33.82  | | | REF_CLOSE: (66), (74), (87) are inconsistent by sub-proof #1852.
% 196.97/33.82  | | | 
% 196.97/33.82  | | Case 2:
% 196.97/33.82  | | | 
% 196.97/33.82  | | |   (88)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 196.97/33.82  | | |           = e0)
% 196.97/33.82  | | | 
% 196.97/33.82  | | | BETA: splitting (88) gives:
% 196.97/33.82  | | | 
% 196.97/33.82  | | | Case 1:
% 196.97/33.82  | | | | 
% 196.97/33.82  | | | |   (89)  all_56_13 = e0 & op(e0, e2) = e0
% 196.97/33.82  | | | | 
% 196.97/33.82  | | | | ALPHA: (89) implies:
% 196.97/33.82  | | | |   (90)  all_56_13 = e0
% 196.97/33.82  | | | | 
% 196.97/33.82  | | | | BETA: splitting (1) gives:
% 196.97/33.82  | | | | 
% 196.97/33.82  | | | | Case 1:
% 196.97/33.82  | | | | | 
% 196.97/33.82  | | | | |   (91)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2,
% 196.97/33.82  | | | | |             e2) = e1)
% 196.97/33.82  | | | | | 
% 196.97/33.82  | | | | | REF_CLOSE: (17), (20), (21), (45), (52), (91) are inconsistent by
% 196.97/33.82  | | | | |            sub-proof #1531.
% 196.97/33.82  | | | | | 
% 196.97/33.82  | | | | Case 2:
% 196.97/33.82  | | | | | 
% 196.97/33.82  | | | | |   (92)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0,
% 196.97/33.82  | | | | |             e2) = e1)
% 196.97/33.82  | | | | | 
% 196.97/33.82  | | | | | BETA: splitting (92) gives:
% 196.97/33.82  | | | | | 
% 196.97/33.82  | | | | | Case 1:
% 196.97/33.82  | | | | | | 
% 196.97/33.82  | | | | | |   (93)  all_56_7 = e1 & op(e1, e2) = e1
% 196.97/33.82  | | | | | | 
% 196.97/33.82  | | | | | | ALPHA: (93) implies:
% 196.97/33.82  | | | | | |   (94)  all_56_7 = e1
% 196.97/33.82  | | | | | | 
% 196.97/33.82  | | | | | | BETA: splitting (54) gives:
% 196.97/33.82  | | | | | | 
% 196.97/33.82  | | | | | | Case 1:
% 196.97/33.82  | | | | | | | 
% 196.97/33.82  | | | | | | |   (95)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 &
% 196.97/33.82  | | | | | | |           op(e2, e3) = e3)
% 196.97/33.82  | | | | | | | 
% 196.97/33.82  | | | | | | | BETA: splitting (95) gives:
% 196.97/33.82  | | | | | | | 
% 196.97/33.82  | | | | | | | Case 1:
% 196.97/33.82  | | | | | | | | 
% 196.97/33.82  | | | | | | | |   (96)  all_56_0 = e3 & op(e3, e3) = e3
% 196.97/33.82  | | | | | | | | 
% 196.97/33.82  | | | | | | | | ALPHA: (96) implies:
% 196.97/33.82  | | | | | | | |   (97)  op(e3, e3) = e3
% 196.97/33.82  | | | | | | | | 
% 196.97/33.82  | | | | | | | | REF_CLOSE: (17), (22), (72), (97) are inconsistent by sub-proof
% 196.97/33.82  | | | | | | | |            #1966.
% 196.97/33.82  | | | | | | | | 
% 196.97/33.82  | | | | | | | Case 2:
% 196.97/33.82  | | | | | | | | 
% 196.97/33.82  | | | | | | | |   (98)  all_56_2 = e3 & op(e2, e3) = e3
% 196.97/33.82  | | | | | | | | 
% 196.97/33.82  | | | | | | | | ALPHA: (98) implies:
% 196.97/33.82  | | | | | | | |   (99)  all_56_2 = e3
% 196.97/33.82  | | | | | | | |   (100)  op(e2, e3) = e3
% 196.97/33.82  | | | | | | | | 
% 196.97/33.82  | | | | | | | | BETA: splitting (36) gives:
% 196.97/33.82  | | | | | | | | 
% 196.97/33.82  | | | | | | | | Case 1:
% 196.97/33.82  | | | | | | | | | 
% 196.97/33.82  | | | | | | | | |   (101)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 &
% 196.97/33.82  | | | | | | | | |            op(e2, e2) = e3)
% 196.97/33.82  | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | BETA: splitting (101) gives:
% 196.97/33.82  | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | Case 1:
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | |   (102)  all_56_1 = e3 & op(e3, e2) = e3
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | ALPHA: (102) implies:
% 196.97/33.82  | | | | | | | | | |   (103)  all_56_1 = e3
% 196.97/33.82  | | | | | | | | | |   (104)  op(e3, e2) = e3
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | BETA: splitting (4) gives:
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | Case 1:
% 196.97/33.82  | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | |   (105)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 196.97/33.82  | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 196.97/33.82  | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | BETA: splitting (105) gives:
% 196.97/33.82  | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | Case 1:
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | |   (106)  all_56_12 = e3 & op(e0, e3) = e3
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | REF_CLOSE: (16), (66), (106) are inconsistent by sub-proof
% 196.97/33.82  | | | | | | | | | | | |            #1226.
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | Case 2:
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | |   (107)  all_56_13 = e3 & op(e0, e2) = e3
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | ALPHA: (107) implies:
% 196.97/33.82  | | | | | | | | | | | |   (108)  all_56_13 = e3
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | COMBINE_EQS: (90), (108) imply:
% 196.97/33.82  | | | | | | | | | | | |   (109)  e3 = e0
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | COMBINE_EQS: (103), (109) imply:
% 196.97/33.82  | | | | | | | | | | | |   (110)  all_56_1 = e0
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | REF_CLOSE: (17), (21), (36), (47), (72), (77), (90), (94),
% 196.97/33.82  | | | | | | | | | | | |            (110) are inconsistent by sub-proof #1419.
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | End of split
% 196.97/33.82  | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | Case 2:
% 196.97/33.82  | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | |   (111)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 196.97/33.82  | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 196.97/33.82  | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | BETA: splitting (111) gives:
% 196.97/33.82  | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | Case 1:
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | |   (112)  all_56_14 = e3 & op(e0, e1) = e3
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | ALPHA: (112) implies:
% 196.97/33.82  | | | | | | | | | | | |   (113)  all_56_14 = e3
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | COMBINE_EQS: (81), (113) imply:
% 196.97/33.82  | | | | | | | | | | | |   (114)  e3 = e1
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | COMBINE_EQS: (99), (114) imply:
% 196.97/33.82  | | | | | | | | | | | |   (115)  all_56_2 = e1
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | REF_CLOSE: (8), (14), (16), (17), (22), (50), (54), (59),
% 196.97/33.82  | | | | | | | | | | | |            (72), (74), (77), (115) are inconsistent by
% 196.97/33.82  | | | | | | | | | | | |            sub-proof #1844.
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | Case 2:
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | |   (116)  all_56_15 = e3 & op(e0, e0) = e3
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | ALPHA: (116) implies:
% 196.97/33.82  | | | | | | | | | | | |   (117)  all_56_15 = e3
% 196.97/33.82  | | | | | | | | | | | |   (118)  op(e0, e0) = e3
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10),
% 196.97/33.82  | | | | | | | | | | | |            (11), (12), (13), (14), (15), (16), (17), (18),
% 196.97/33.82  | | | | | | | | | | | |            (19), (20), (21), (23), (24), (25), (26), (27),
% 196.97/33.82  | | | | | | | | | | | |            (28), (29), (30), (32), (33), (34), (35), (36),
% 196.97/33.82  | | | | | | | | | | | |            (37), (38), (39), (40), (41), (42), (44), (46),
% 196.97/33.82  | | | | | | | | | | | |            (48), (49), (51), (54), (55), (56), (57), (58),
% 196.97/33.82  | | | | | | | | | | | |            (60), (61), (62), (63), (64), (65), (67), (68),
% 196.97/33.82  | | | | | | | | | | | |            (69), (71), (73), (74), (75), (76), (77), (78),
% 196.97/33.82  | | | | | | | | | | | |            (79), (80), (99), (100), (103), (104), (117),
% 196.97/33.82  | | | | | | | | | | | |            (118) are inconsistent by sub-proof #1180.
% 196.97/33.82  | | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | | End of split
% 196.97/33.82  | | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | End of split
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | Case 2:
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | |   (119)  all_56_3 = e3 & op(e2, e2) = e3
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | ALPHA: (119) implies:
% 196.97/33.82  | | | | | | | | | |   (120)  op(e2, e2) = e3
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | REF_CLOSE: (17), (21), (47), (120) are inconsistent by
% 196.97/33.82  | | | | | | | | | |            sub-proof #1975.
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | End of split
% 196.97/33.82  | | | | | | | | | 
% 196.97/33.82  | | | | | | | | Case 2:
% 196.97/33.82  | | | | | | | | | 
% 196.97/33.82  | | | | | | | | |   (121)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 196.97/33.82  | | | | | | | | |            op(e0, e2) = e3)
% 196.97/33.82  | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | BETA: splitting (121) gives:
% 196.97/33.82  | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | Case 1:
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | |   (122)  all_56_7 = e3 & op(e1, e2) = e3
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | ALPHA: (122) implies:
% 196.97/33.82  | | | | | | | | | |   (123)  op(e1, e2) = e3
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | REF_CLOSE: (7), (17), (53), (123) are inconsistent by
% 196.97/33.82  | | | | | | | | | |            sub-proof #1408.
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | Case 2:
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | |   (124)  all_56_13 = e3 & op(e0, e2) = e3
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | ALPHA: (124) implies:
% 196.97/33.82  | | | | | | | | | |   (125)  all_56_13 = e3
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | | REF_CLOSE: (77), (90), (125) are inconsistent by sub-proof
% 196.97/33.82  | | | | | | | | | |            #1360.
% 196.97/33.82  | | | | | | | | | | 
% 196.97/33.82  | | | | | | | | | End of split
% 196.97/33.82  | | | | | | | | | 
% 196.97/33.82  | | | | | | | | End of split
% 196.97/33.82  | | | | | | | | 
% 196.97/33.82  | | | | | | | End of split
% 196.97/33.82  | | | | | | | 
% 196.97/33.82  | | | | | | Case 2:
% 196.97/33.82  | | | | | | | 
% 196.97/33.82  | | | | | | |   (126)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 &
% 196.97/33.82  | | | | | | |            op(e0, e3) = e3)
% 196.97/33.82  | | | | | | | 
% 196.97/33.82  | | | | | | | REF_CLOSE: (5), (16), (17), (43), (66), (126) are inconsistent by
% 196.97/33.82  | | | | | | |            sub-proof #1178.
% 196.97/33.82  | | | | | | | 
% 196.97/33.82  | | | | | | End of split
% 196.97/33.82  | | | | | | 
% 196.97/33.82  | | | | | Case 2:
% 196.97/33.82  | | | | | | 
% 196.97/33.82  | | | | | |   (127)  all_56_13 = e1 & op(e0, e2) = e1
% 196.97/33.82  | | | | | | 
% 196.97/33.82  | | | | | | ALPHA: (127) implies:
% 196.97/33.82  | | | | | |   (128)  all_56_13 = e1
% 196.97/33.82  | | | | | | 
% 196.97/33.82  | | | | | | REF_CLOSE: (50), (90), (128) are inconsistent by sub-proof #1787.
% 196.97/33.82  | | | | | | 
% 196.97/33.82  | | | | | End of split
% 196.97/33.82  | | | | | 
% 196.97/33.82  | | | | End of split
% 196.97/33.82  | | | | 
% 196.97/33.82  | | | Case 2:
% 196.97/33.82  | | | | 
% 196.97/33.82  | | | |   (129)  all_56_14 = e0 & op(e0, e1) = e0
% 196.97/33.82  | | | | 
% 196.97/33.82  | | | | REF_CLOSE: (50), (81), (129) are inconsistent by sub-proof #1199.
% 196.97/33.82  | | | | 
% 196.97/33.82  | | | End of split
% 196.97/33.82  | | | 
% 196.97/33.82  | | End of split
% 196.97/33.82  | | 
% 196.97/33.82  | End of split
% 196.97/33.82  | 
% 196.97/33.82  End of proof
% 196.97/33.82  
% 196.97/33.82  Sub-proof #1178 shows that the following formulas are inconsistent:
% 196.97/33.82  ----------------------------------------------------------------
% 196.97/33.82    (1)  op(e1, e3) = all_52_2
% 196.97/33.82    (2)   ~ (e3 = e2)
% 196.97/33.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.82    (4)   ~ (all_52_2 = e3)
% 196.97/33.82    (5)  all_56_12 = e2
% 196.97/33.82    (6)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 196.97/33.82  
% 196.97/33.82  Begin of proof
% 196.97/33.82  | 
% 196.97/33.82  | BETA: splitting (6) gives:
% 196.97/33.82  | 
% 196.97/33.82  | Case 1:
% 196.97/33.82  | | 
% 196.97/33.82  | |   (7)  all_56_6 = e3 & op(e1, e3) = e3
% 196.97/33.82  | | 
% 196.97/33.82  | | ALPHA: (7) implies:
% 196.97/33.82  | |   (8)  op(e1, e3) = e3
% 196.97/33.82  | | 
% 196.97/33.82  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1179.
% 196.97/33.82  | | 
% 196.97/33.82  | Case 2:
% 196.97/33.82  | | 
% 196.97/33.82  | |   (9)  all_56_12 = e3 & op(e0, e3) = e3
% 196.97/33.82  | | 
% 196.97/33.82  | | ALPHA: (9) implies:
% 196.97/33.82  | |   (10)  all_56_12 = e3
% 196.97/33.82  | | 
% 196.97/33.82  | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #1354.
% 196.97/33.82  | | 
% 196.97/33.82  | End of split
% 196.97/33.82  | 
% 196.97/33.82  End of proof
% 196.97/33.82  
% 196.97/33.82  Sub-proof #1179 shows that the following formulas are inconsistent:
% 196.97/33.82  ----------------------------------------------------------------
% 196.97/33.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.82    (2)  op(e1, e3) = all_52_2
% 196.97/33.82    (3)  op(e1, e3) = e3
% 196.97/33.82    (4)   ~ (all_52_2 = e3)
% 196.97/33.82  
% 196.97/33.82  Begin of proof
% 196.97/33.82  | 
% 196.97/33.82  | GROUND_INST: instantiating (1) with all_52_2, e3, e3, e1, simplifying with
% 196.97/33.82  |              (2), (3) gives:
% 196.97/33.82  |   (5)  all_52_2 = e3
% 196.97/33.82  | 
% 196.97/33.82  | REDUCE: (4), (5) imply:
% 196.97/33.82  |   (6)  $false
% 196.97/33.82  | 
% 196.97/33.82  | CLOSE: (6) is inconsistent.
% 196.97/33.82  | 
% 196.97/33.82  End of proof
% 196.97/33.82  
% 196.97/33.82  Sub-proof #1180 shows that the following formulas are inconsistent:
% 196.97/33.82  ----------------------------------------------------------------
% 196.97/33.82    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.97/33.82         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.97/33.82    (2)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.97/33.82    (3)  all_54_0 = all_6_2
% 196.97/33.82    (4)  op(e1, e3) = all_52_2
% 196.97/33.83    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.97/33.83           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.97/33.83           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.97/33.83                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.97/33.83               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.97/33.83               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.97/33.83           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.97/33.83           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.83               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.97/33.83           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.97/33.83               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.97/33.83           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.97/33.83           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.97/33.83               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.83               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.97/33.83               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.83         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.97/33.83           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.97/33.83           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.97/33.83               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.97/33.83             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.83         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.97/33.83           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.97/33.83           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.97/33.83                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.97/33.83               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.97/33.83               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.97/33.83           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.97/33.83           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.97/33.83             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.83           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.97/33.83               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.97/33.83           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.97/33.83           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.97/33.83               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.83               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.97/33.83               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.83         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.97/33.83           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.97/33.83           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.97/33.83               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.83             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.83         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.97/33.83           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.97/33.83           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.97/33.83                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.97/33.83               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.83               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.97/33.83           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.97/33.83             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.97/33.83               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.83           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.97/33.83               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.97/33.83           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.97/33.83           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.97/33.83               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.83               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.83               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.97/33.83         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.97/33.83           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.97/33.83           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.97/33.83               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.97/33.83             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.97/33.83         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.97/33.83             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.83           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.97/33.83               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.97/33.83             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.83         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.97/33.83             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.83           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.97/33.83               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.83             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.83         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.97/33.83             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.83           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.97/33.83               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.97/33.83             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.83         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.97/33.83             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.83           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.97/33.83               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.97/33.83             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.97/33.83    (6)  op(e1, e2) = all_52_6
% 196.97/33.83    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.97/33.83         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.97/33.83    (8)   ~ (all_52_8 = all_6_2)
% 196.97/33.83    (9)  op(e3, e3) = all_6_2
% 196.97/33.83    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.97/33.83          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.97/33.83    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.97/33.83          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.97/33.83    (12)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.97/33.83          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.97/33.83    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.97/33.83          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.97/33.83    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.97/33.83          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.97/33.83    (15)   ~ (e3 = e2)
% 196.97/33.83    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.83            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.83    (17)   ~ (all_6_2 = e0)
% 196.97/33.83    (18)   ~ (all_52_3 = all_6_2)
% 196.97/33.83    (19)  op(e3, e2) = all_52_4
% 196.97/33.83    (20)  op(e2, e2) = all_4_2
% 196.97/33.83    (21)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 196.97/33.83          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.97/33.83    (22)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.97/33.83          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.97/33.83    (23)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.97/33.83          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.97/33.83    (24)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.97/33.83    (25)   ~ (all_52_4 = all_52_8)
% 196.97/33.83    (26)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.97/33.83          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.97/33.83    (27)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.97/33.83          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.97/33.83            e1)
% 196.97/33.83    (28)   ~ (all_52_4 = all_6_2)
% 196.97/33.83    (29)  op(e0, e3) = all_52_3
% 196.97/33.83    (30)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.97/33.83          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.97/33.83            e2)
% 196.97/33.83    (31)  op(e2, e0) = all_52_13
% 196.97/33.83    (32)  all_56_15 = e3
% 196.97/33.83    (33)   ~ (all_52_2 = all_6_2)
% 196.97/33.83    (34)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.97/33.83          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.97/33.83    (35)   ~ (all_52_4 = all_52_12)
% 196.97/33.83    (36)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.97/33.83              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.97/33.83            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.97/33.83            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.97/33.83            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.97/33.83            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.97/33.83            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.97/33.83            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.97/33.83            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.97/33.83            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.97/33.83            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.97/33.83            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.97/33.83            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.97/33.83            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.97/33.83            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.97/33.83            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.97/33.83            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.97/33.83            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.97/33.83            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.97/33.83            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.97/33.83            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.97/33.83            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.83            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.97/33.83            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.97/33.83            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.97/33.83            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.97/33.83            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.97/33.83            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.97/33.83            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.83            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.97/33.83            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.97/33.83            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.97/33.83            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.97/33.83            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.97/33.83            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.83            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.97/33.83            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.97/33.83            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.97/33.83            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.97/33.83            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.97/33.83            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.97/33.83            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.97/33.83            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.97/33.83            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.97/33.83            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.97/33.83            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.97/33.83            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.97/33.83            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.97/33.83              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.97/33.83            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.97/33.83            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.97/33.83              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.97/33.83            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.97/33.83            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.97/33.83                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.97/33.83                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.83                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.97/33.83                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.97/33.83                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.97/33.83                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.97/33.83                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.97/33.83              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.97/33.83                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.97/33.83                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.97/33.83                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.97/33.83                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.97/33.83                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.97/33.83                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.97/33.83                $i(all_57_7))))
% 196.97/33.83    (37)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.97/33.83          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.97/33.83    (38)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.97/33.83          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.97/33.83    (39)   ~ (all_52_4 = all_4_2)
% 196.97/33.83    (40)  op(e0, e1) = all_52_11
% 196.97/33.83    (41)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.97/33.83            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.97/33.83              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.97/33.83    (42)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.97/33.83          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.97/33.83    (43)  op(e3, e2) = e3
% 196.97/33.83    (44)   ~ (all_52_12 = all_6_2)
% 196.97/33.83    (45)  all_56_2 = e3
% 196.97/33.83    (46)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.97/33.83          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.97/33.83    (47)   ~ (all_52_1 = all_52_13)
% 196.97/33.83    (48)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 196.97/33.83          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 196.97/33.83    (49)  all_24_2 = all_4_2
% 196.97/33.83    (50)  all_54_5 = all_4_2
% 196.97/33.83    (51)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.97/33.83          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.97/33.83    (52)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.97/33.83              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.97/33.83                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.97/33.83                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.97/33.83    (53)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.97/33.83          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.97/33.83    (54)   ~ (all_52_13 = all_4_2)
% 196.97/33.83    (55)  op(e3, e0) = all_52_12
% 196.97/33.83    (56)  all_36_2 = all_4_2
% 196.97/33.83    (57)   ~ (all_52_9 = all_4_2)
% 196.97/33.83    (58)  op(e2, e1) = all_52_9
% 196.97/33.83    (59)  op(e2, e3) = e3
% 196.97/33.83    (60)  all_56_1 = e3
% 196.97/33.83    (61)   ~ (all_52_6 = all_4_2)
% 196.97/33.83    (62)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.97/33.83            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.97/33.83              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.97/33.83    (63)  op(e3, e1) = all_52_8
% 196.97/33.83    (64)  op(e0, e0) = e3
% 196.97/33.83    (65)   ~ (all_52_9 = all_52_13)
% 196.97/33.83    (66)  op(e1, e1) = e3
% 196.97/33.83    (67)   ~ (e2 = e0)
% 196.97/33.83    (68)  op(e2, e3) = all_52_1
% 196.97/33.83    (69)   ~ (all_6_2 = e2)
% 196.97/33.83    (70)   ~ (e3 = e0)
% 196.97/33.83    (71)  all_32_2 = all_4_2
% 196.97/33.83    (72)   ~ (all_24_2 = e1) | ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 196.97/33.83            op(e2, e1) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 =
% 196.97/33.83              e0) & op(e2, e1) = all_24_1 & $i(all_24_1))
% 196.97/33.83    (73)   ~ (all_52_3 = all_52_11)
% 196.97/33.83  
% 196.97/33.83  Begin of proof
% 196.97/33.83  | 
% 196.97/33.83  | GROUND_INST: instantiating (16) with all_52_1, e3, e3, e2, simplifying with
% 196.97/33.83  |              (59), (68) gives:
% 196.97/33.83  |   (74)  all_52_1 = e3
% 196.97/33.83  | 
% 196.97/33.83  | GROUND_INST: instantiating (16) with all_52_4, e3, e2, e3, simplifying with
% 196.97/33.83  |              (19), (43) gives:
% 196.97/33.83  |   (75)  all_52_4 = e3
% 196.97/33.83  | 
% 196.97/33.83  | REDUCE: (47), (74) imply:
% 196.97/33.83  |   (76)   ~ (all_52_13 = e3)
% 196.97/33.83  | 
% 196.97/33.83  | SIMP: (76) implies:
% 196.97/33.83  |   (77)   ~ (all_52_13 = e3)
% 196.97/33.83  | 
% 196.97/33.83  | REDUCE: (25), (75) imply:
% 196.97/33.83  |   (78)   ~ (all_52_8 = e3)
% 196.97/33.83  | 
% 196.97/33.83  | SIMP: (78) implies:
% 196.97/33.83  |   (79)   ~ (all_52_8 = e3)
% 196.97/33.83  | 
% 196.97/33.83  | REDUCE: (35), (75) imply:
% 196.97/33.83  |   (80)   ~ (all_52_12 = e3)
% 196.97/33.83  | 
% 196.97/33.83  | SIMP: (80) implies:
% 196.97/33.83  |   (81)   ~ (all_52_12 = e3)
% 196.97/33.83  | 
% 196.97/33.83  | REDUCE: (28), (75) imply:
% 196.97/33.83  |   (82)   ~ (all_6_2 = e3)
% 196.97/33.83  | 
% 196.97/33.83  | SIMP: (82) implies:
% 196.97/33.83  |   (83)   ~ (all_6_2 = e3)
% 196.97/33.83  | 
% 196.97/33.83  | REDUCE: (39), (75) imply:
% 196.97/33.83  |   (84)   ~ (all_4_2 = e3)
% 196.97/33.83  | 
% 196.97/33.83  | SIMP: (84) implies:
% 196.97/33.83  |   (85)   ~ (all_4_2 = e3)
% 196.97/33.83  | 
% 196.97/33.83  | BETA: splitting (24) gives:
% 196.97/33.83  | 
% 196.97/33.83  | Case 1:
% 196.97/33.83  | | 
% 196.97/33.83  | |   (86)  all_54_0 = e3
% 196.97/33.83  | | 
% 196.97/33.83  | | REF_CLOSE: (3), (83), (86) are inconsistent by sub-proof #1225.
% 196.97/33.83  | | 
% 196.97/33.83  | Case 2:
% 196.97/33.83  | | 
% 196.97/33.83  | |   (87)   ~ (all_54_0 = e3)
% 196.97/33.83  | |   (88)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 196.97/33.83  | | 
% 196.97/33.83  | | BETA: splitting (88) gives:
% 196.97/33.83  | | 
% 196.97/33.83  | | Case 1:
% 196.97/33.83  | | | 
% 196.97/33.83  | | |   (89)  all_54_0 = e2
% 196.97/33.83  | | | 
% 196.97/33.83  | | | REF_CLOSE: (3), (69), (89) are inconsistent by sub-proof #1224.
% 196.97/33.83  | | | 
% 196.97/33.83  | | Case 2:
% 196.97/33.83  | | | 
% 196.97/33.83  | | |   (90)   ~ (all_54_0 = e2)
% 196.97/33.83  | | |   (91)  all_54_0 = e1 | all_54_0 = e0
% 196.97/33.83  | | | 
% 196.97/33.83  | | | BETA: splitting (91) gives:
% 196.97/33.83  | | | 
% 196.97/33.83  | | | Case 1:
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | |   (92)  all_54_0 = e1
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | COMBINE_EQS: (3), (92) imply:
% 196.97/33.83  | | | |   (93)  all_6_2 = e1
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | SIMP: (93) implies:
% 196.97/33.83  | | | |   (94)  all_6_2 = e1
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | REDUCE: (33), (94) imply:
% 196.97/33.83  | | | |   (95)   ~ (all_52_2 = e1)
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | REDUCE: (18), (94) imply:
% 196.97/33.83  | | | |   (96)   ~ (all_52_3 = e1)
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | REDUCE: (8), (94) imply:
% 196.97/33.83  | | | |   (97)   ~ (all_52_8 = e1)
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | REDUCE: (44), (94) imply:
% 196.97/33.83  | | | |   (98)   ~ (all_52_12 = e1)
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | REDUCE: (83), (94) imply:
% 196.97/33.83  | | | |   (99)   ~ (e3 = e1)
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | SIMP: (99) implies:
% 196.97/33.83  | | | |   (100)   ~ (e3 = e1)
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | REDUCE: (69), (94) imply:
% 196.97/33.83  | | | |   (101)   ~ (e2 = e1)
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | SIMP: (101) implies:
% 196.97/33.83  | | | |   (102)   ~ (e2 = e1)
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | REDUCE: (17), (94) imply:
% 196.97/33.83  | | | |   (103)   ~ (e1 = e0)
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | REDUCE: (9), (94) imply:
% 196.97/33.83  | | | |   (104)  op(e3, e3) = e1
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (10), (11), (12), (13), (14),
% 196.97/33.83  | | | |            (15), (16), (20), (21), (22), (23), (26), (27), (29), (30),
% 196.97/33.83  | | | |            (31), (32), (34), (36), (37), (38), (40), (41), (42), (43),
% 196.97/33.83  | | | |            (45), (46), (48), (49), (50), (51), (52), (53), (54), (55),
% 196.97/33.83  | | | |            (56), (57), (58), (59), (60), (61), (62), (63), (64), (65),
% 196.97/33.83  | | | |            (66), (67), (70), (71), (72), (73), (77), (79), (81), (85),
% 196.97/33.83  | | | |            (95), (96), (97), (98), (100), (102), (103), (104) are
% 196.97/33.83  | | | |            inconsistent by sub-proof #1182.
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | Case 2:
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | |   (105)  all_54_0 = e0
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | | REF_CLOSE: (3), (17), (105) are inconsistent by sub-proof #1181.
% 196.97/33.83  | | | | 
% 196.97/33.83  | | | End of split
% 196.97/33.83  | | | 
% 196.97/33.83  | | End of split
% 196.97/33.83  | | 
% 196.97/33.83  | End of split
% 196.97/33.83  | 
% 196.97/33.83  End of proof
% 196.97/33.83  
% 196.97/33.83  Sub-proof #1181 shows that the following formulas are inconsistent:
% 196.97/33.83  ----------------------------------------------------------------
% 196.97/33.83    (1)  all_54_0 = all_6_2
% 196.97/33.83    (2)  all_54_0 = e0
% 196.97/33.83    (3)   ~ (all_6_2 = e0)
% 196.97/33.83  
% 196.97/33.83  Begin of proof
% 196.97/33.83  | 
% 196.97/33.83  | COMBINE_EQS: (1), (2) imply:
% 196.97/33.83  |   (4)  all_6_2 = e0
% 196.97/33.83  | 
% 196.97/33.83  | SIMP: (4) implies:
% 196.97/33.83  |   (5)  all_6_2 = e0
% 196.97/33.83  | 
% 196.97/33.83  | REDUCE: (3), (5) imply:
% 196.97/33.83  |   (6)  $false
% 196.97/33.83  | 
% 196.97/33.83  | CLOSE: (6) is inconsistent.
% 196.97/33.83  | 
% 196.97/33.83  End of proof
% 196.97/33.83  
% 196.97/33.83  Sub-proof #1182 shows that the following formulas are inconsistent:
% 196.97/33.83  ----------------------------------------------------------------
% 196.97/33.83    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.97/33.83         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.97/33.83    (2)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.97/33.83    (3)  op(e1, e3) = all_52_2
% 196.97/33.83    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.97/33.83           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.97/33.83           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.97/33.83                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.97/33.83               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.97/33.83               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.97/33.83           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.97/33.83           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.83               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.97/33.83           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.97/33.83               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.97/33.83           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.97/33.83           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.97/33.83               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.83               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.97/33.83               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.83         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.97/33.83           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.97/33.83           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.97/33.83               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.97/33.83             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.83         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.97/33.83           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.97/33.83           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.97/33.83                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.97/33.83               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.97/33.83               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.97/33.83           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.97/33.83           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.97/33.83             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.83           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.97/33.83               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.97/33.83           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.97/33.83           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.97/33.83               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.83               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.97/33.83               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.83         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.97/33.83           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.97/33.83           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.97/33.83               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.83             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.83         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.97/33.83           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.97/33.83           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.97/33.83                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.97/33.83               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.83               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.97/33.83           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.97/33.83             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.97/33.83               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.83           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.97/33.83               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.97/33.83           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.97/33.83           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.97/33.83               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.83               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.83               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.97/33.83         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.97/33.83           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.97/33.83           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.97/33.83               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.97/33.83             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.97/33.83         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.97/33.83             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.83           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.97/33.83               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.97/33.83             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.83         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.97/33.83             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.83           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.97/33.83               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.83             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.83         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.97/33.83             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.83           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.97/33.83               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.97/33.83             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.83         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.97/33.83             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.83           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.97/33.83               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.97/33.83             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.97/33.83    (5)   ~ (all_52_3 = e1)
% 196.97/33.83    (6)   ~ (all_52_13 = e3)
% 196.97/33.83    (7)  op(e1, e2) = all_52_6
% 196.97/33.83    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.97/33.83         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.97/33.83    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 196.97/33.83         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.97/33.83    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 196.97/33.83          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 196.97/33.83    (11)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.97/33.83          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.97/33.83    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.97/33.83          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.97/33.83    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.97/33.83          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.97/33.83    (14)   ~ (e3 = e2)
% 196.97/33.83    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.83            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.83    (16)  op(e2, e2) = all_4_2
% 196.97/33.83    (17)  op(e3, e3) = e1
% 196.97/33.83    (18)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 196.97/33.83          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 196.97/33.83    (19)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 196.97/33.83          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 196.97/33.83    (20)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 196.97/33.83          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 196.97/33.83    (21)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 196.97/33.83          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.97/33.83    (22)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 196.97/33.83          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 196.97/33.83            e1)
% 196.97/33.83    (23)   ~ (all_52_8 = e3)
% 196.97/33.83    (24)  op(e0, e3) = all_52_3
% 196.97/33.84    (25)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 196.97/33.84          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 196.97/33.84            e2)
% 196.97/33.84    (26)  op(e2, e0) = all_52_13
% 196.97/33.84    (27)  all_56_15 = e3
% 196.97/33.84    (28)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.97/33.84          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 196.97/33.84    (29)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 196.97/33.84              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 196.97/33.84            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 196.97/33.84            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 196.97/33.84            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.97/33.84            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.97/33.84            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 196.97/33.84            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.97/33.84            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 196.97/33.84            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 196.97/33.84            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.97/33.84            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.97/33.84            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.97/33.84            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.97/33.84            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 196.97/33.84            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.97/33.84            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.97/33.84            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.97/33.84            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.97/33.84            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 196.97/33.84            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.97/33.84            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.84            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.97/33.84            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.97/33.84            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.97/33.84            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.97/33.84            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.97/33.84            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 196.97/33.84            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.84            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 196.97/33.84            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.97/33.84            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.97/33.84            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 196.97/33.84            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 196.97/33.84            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.84            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 196.97/33.84            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.97/33.84            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.97/33.84            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 196.97/33.84            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.97/33.84            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.97/33.84            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 196.97/33.84            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.97/33.84            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.97/33.84            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 196.97/33.84            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.97/33.84            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.97/33.84            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.97/33.84              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 196.97/33.84            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.97/33.84            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.97/33.84              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 196.97/33.84            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 196.97/33.84            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 196.97/33.84                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.97/33.84                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.84                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.97/33.84                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.97/33.84                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 196.97/33.84                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.97/33.84                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.97/33.84              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.97/33.84                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 196.97/33.84                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.97/33.84                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.97/33.84                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 196.97/33.84                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.97/33.84                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.97/33.84                $i(all_57_7))))
% 196.97/33.84    (30)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 196.97/33.84          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 196.97/33.84    (31)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 196.97/33.84          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 196.97/33.84    (32)   ~ (all_52_8 = e1)
% 196.97/33.84    (33)  op(e0, e1) = all_52_11
% 196.97/33.84    (34)   ~ (all_52_12 = e3)
% 196.97/33.84    (35)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 196.97/33.84            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 196.97/33.84              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 196.97/33.84    (36)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 196.97/33.84          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 196.97/33.84    (37)   ~ (all_4_2 = e3)
% 196.97/33.84    (38)  op(e3, e2) = e3
% 196.97/33.84    (39)  all_56_2 = e3
% 196.97/33.84    (40)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 196.97/33.84          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 196.97/33.84    (41)   ~ (e1 = e0)
% 196.97/33.84    (42)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 196.97/33.84          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 196.97/33.84    (43)  all_24_2 = all_4_2
% 196.97/33.84    (44)  all_54_5 = all_4_2
% 196.97/33.84    (45)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 196.97/33.84          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 196.97/33.84    (46)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 196.97/33.84              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 196.97/33.84                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.97/33.84                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 196.97/33.84    (47)   ~ (e2 = e1)
% 196.97/33.84    (48)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 196.97/33.84          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 196.97/33.84    (49)   ~ (all_52_13 = all_4_2)
% 196.97/33.84    (50)   ~ (all_52_12 = e1)
% 196.97/33.84    (51)   ~ (all_52_2 = e1)
% 196.97/33.84    (52)  op(e3, e0) = all_52_12
% 196.97/33.84    (53)  all_36_2 = all_4_2
% 196.97/33.84    (54)   ~ (all_52_9 = all_4_2)
% 196.97/33.84    (55)  op(e2, e1) = all_52_9
% 196.97/33.84    (56)  op(e2, e3) = e3
% 196.97/33.84    (57)  all_56_1 = e3
% 196.97/33.84    (58)   ~ (all_52_6 = all_4_2)
% 196.97/33.84    (59)   ~ (all_32_2 = e0) | ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 &
% 196.97/33.84            op(e2, e0) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 =
% 196.97/33.84              e1) & op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.97/33.84    (60)  op(e3, e1) = all_52_8
% 196.97/33.84    (61)  op(e0, e0) = e3
% 196.97/33.84    (62)   ~ (all_52_9 = all_52_13)
% 196.97/33.84    (63)   ~ (e3 = e1)
% 196.97/33.84    (64)  op(e1, e1) = e3
% 196.97/33.84    (65)   ~ (e2 = e0)
% 196.97/33.84    (66)   ~ (e3 = e0)
% 196.97/33.84    (67)  all_32_2 = all_4_2
% 196.97/33.84    (68)   ~ (all_24_2 = e1) | ( ~ (all_24_0 = e3) & op(all_24_1, e2) = all_24_0 &
% 196.97/33.84            op(e2, e1) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 =
% 196.97/33.84              e0) & op(e2, e1) = all_24_1 & $i(all_24_1))
% 196.97/33.84    (69)   ~ (all_52_3 = all_52_11)
% 196.97/33.84  
% 196.97/33.84  Begin of proof
% 196.97/33.84  | 
% 196.97/33.84  | BETA: splitting (68) gives:
% 196.97/33.84  | 
% 196.97/33.84  | Case 1:
% 196.97/33.84  | | 
% 196.97/33.84  | |   (70)   ~ (all_24_2 = e1)
% 196.97/33.84  | | 
% 196.97/33.84  | | REDUCE: (43), (70) imply:
% 196.97/33.84  | |   (71)   ~ (all_4_2 = e1)
% 196.97/33.84  | | 
% 196.97/33.84  | | BETA: splitting (59) gives:
% 196.97/33.84  | | 
% 196.97/33.84  | | Case 1:
% 196.97/33.84  | | | 
% 196.97/33.84  | | |   (72)   ~ (all_32_2 = e0)
% 196.97/33.84  | | | 
% 196.97/33.84  | | | REDUCE: (67), (72) imply:
% 196.97/33.84  | | |   (73)   ~ (all_4_2 = e0)
% 196.97/33.84  | | | 
% 196.97/33.84  | | | BETA: splitting (4) gives:
% 196.97/33.84  | | | 
% 196.97/33.84  | | | Case 1:
% 196.97/33.84  | | | | 
% 196.97/33.84  | | | |   (74)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 196.97/33.84  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 196.97/33.84  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 196.97/33.84  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.84  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 196.97/33.84  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.97/33.84  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 196.97/33.84  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 196.97/33.84  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.84  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.97/33.84  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.84  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 &
% 196.97/33.84  | | | |           all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1)
% 196.97/33.84  | | | |           = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 196.97/33.84  | | | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.84  | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 196.97/33.84  | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 196.97/33.84  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 &
% 196.97/33.84  | | | |           all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 &
% 196.97/33.84  | | | |           op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.97/33.84  | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.97/33.84  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.84  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.84  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 &
% 196.97/33.84  | | | |           all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0)
% 196.97/33.84  | | | |           = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.97/33.84  | | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.84  | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.84  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 196.97/33.84  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.84  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 196.97/33.84  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.97/33.84  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.97/33.84  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.97/33.84  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.97/33.84  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.84  | | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 =
% 196.97/33.84  | | | |           e2 & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 196.97/33.84  | | | |           op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.84  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.97/33.84  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 196.97/33.84  | | | |               & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.97/33.84  | | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 =
% 196.97/33.84  | | | |           e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 196.97/33.84  | | | |           & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.97/33.84  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.97/33.84  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.97/33.84  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.97/33.84  | | | |               all_57_5 & $i(all_57_5))))
% 196.97/33.84  | | | | 
% 196.97/33.84  | | | | BETA: splitting (74) gives:
% 196.97/33.84  | | | | 
% 196.97/33.84  | | | | Case 1:
% 196.97/33.84  | | | | | 
% 196.97/33.84  | | | | |   (75)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 196.97/33.84  | | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 196.97/33.84  | | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 196.97/33.84  | | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.84  | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | (
% 196.97/33.84  | | | | |               ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.97/33.84  | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 &
% 196.97/33.84  | | | | |           all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.97/33.84  | | | | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 196.97/33.84  | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.97/33.84  | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 196.97/33.84  | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.97/33.84  | | | | |               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6
% 196.97/33.84  | | | | |           = e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 196.97/33.84  | | | | |           op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.84  | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.97/33.84  | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 =
% 196.97/33.84  | | | | |               e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 196.97/33.84  | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6
% 196.97/33.84  | | | | |           = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1)
% 196.97/33.84  | | | | |           = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.97/33.84  | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.97/33.84  | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 196.97/33.84  | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.97/33.84  | | | | |               = all_57_2 & $i(all_57_2))))
% 196.97/33.84  | | | | | 
% 196.97/33.84  | | | | | BETA: splitting (75) gives:
% 196.97/33.84  | | | | | 
% 196.97/33.84  | | | | | Case 1:
% 196.97/33.84  | | | | | | 
% 196.97/33.84  | | | | | |   (76)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3)
% 196.97/33.84  | | | | | |           = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 196.97/33.84  | | | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1)
% 196.97/33.84  | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.84  | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.84  | | | | | |             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.97/33.84  | | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 &
% 196.97/33.84  | | | | | |           all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 196.97/33.84  | | | | | |           & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 196.97/33.84  | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1)
% 196.97/33.84  | | | | | |               & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15
% 196.97/33.84  | | | | | |               = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.97/33.84  | | | | | |                 e3) = all_57_2 & $i(all_57_2))))
% 196.97/33.84  | | | | | | 
% 196.97/33.84  | | | | | | REF_CLOSE: (15), (16), (17), (37), (47), (76) are inconsistent by
% 196.97/33.84  | | | | | |            sub-proof #1893.
% 196.97/33.84  | | | | | | 
% 196.97/33.84  | | | | | Case 2:
% 196.97/33.84  | | | | | | 
% 196.97/33.84  | | | | | |   (77)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3)
% 196.97/33.84  | | | | | |           = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 196.97/33.84  | | | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.97/33.84  | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.84  | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.97/33.84  | | | | | |             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 196.97/33.84  | | | | | |               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 &
% 196.97/33.84  | | | | | |           all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 196.97/33.84  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.97/33.84  | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.97/33.84  | | | | | |               & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15
% 196.97/33.84  | | | | | |               = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.97/33.84  | | | | | |                 e3) = all_57_2 & $i(all_57_2))))
% 196.97/33.84  | | | | | | 
% 196.97/33.84  | | | | | | REF_CLOSE: (3), (15), (23), (51), (60), (77) are inconsistent by
% 196.97/33.84  | | | | | |            sub-proof #1733.
% 196.97/33.84  | | | | | | 
% 196.97/33.84  | | | | | End of split
% 196.97/33.84  | | | | | 
% 196.97/33.84  | | | | Case 2:
% 196.97/33.84  | | | | | 
% 196.97/33.84  | | | | |   (78)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 196.97/33.84  | | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 196.97/33.84  | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 196.97/33.84  | | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.84  | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) |
% 196.97/33.84  | | | | |             ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.84  | | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 196.97/33.84  | | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.97/33.84  | | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.97/33.84  | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.97/33.84  | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 196.97/33.84  | | | | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.97/33.84  | | | | |               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7
% 196.97/33.84  | | | | |           = e2 & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 196.97/33.84  | | | | |           op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.84  | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.97/33.84  | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 =
% 196.97/33.84  | | | | |               e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 196.97/33.84  | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 196.97/33.84  | | | | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1)
% 196.97/33.84  | | | | |           = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.97/33.84  | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.97/33.84  | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 196.97/33.84  | | | | |               e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 196.97/33.84  | | | | |               = all_57_5 & $i(all_57_5))))
% 196.97/33.84  | | | | | 
% 196.97/33.84  | | | | | BETA: splitting (78) gives:
% 196.97/33.84  | | | | | 
% 196.97/33.84  | | | | | Case 1:
% 196.97/33.84  | | | | | | 
% 196.97/33.84  | | | | | |   (79)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3)
% 196.97/33.84  | | | | | |           = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 196.97/33.84  | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2)
% 196.97/33.84  | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11
% 196.97/33.84  | | | | | |               & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 196.97/33.84  | | | | | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.84  | | | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 196.97/33.84  | | | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 196.97/33.84  | | | | | |           & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.97/33.84  | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.97/33.84  | | | | | |               & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14
% 196.97/33.84  | | | | | |               = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 196.97/33.84  | | | | | |                 e3) = all_57_1 & $i(all_57_1))))
% 196.97/33.84  | | | | | | 
% 196.97/33.84  | | | | | | BETA: splitting (79) gives:
% 196.97/33.84  | | | | | | 
% 196.97/33.84  | | | | | | Case 1:
% 196.97/33.84  | | | | | | | 
% 196.97/33.84  | | | | | | |   (80)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3,
% 196.97/33.84  | | | | | | |           e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 196.97/33.84  | | | | | | |           e0) = all_57_15 & $i(all_57_15) & ((all_57_12 = e0 &
% 196.97/33.84  | | | | | | |             op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.97/33.84  | | | | | | |             all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 &
% 196.97/33.84  | | | | | | |             op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.97/33.84  | | | | | | |             all_57_13 & $i(all_57_13)))
% 196.97/33.84  | | | | | | | 
% 196.97/33.84  | | | | | | | ALPHA: (80) implies:
% 196.97/33.84  | | | | | | |   (81)  op(e3, e3) = e0
% 196.97/33.84  | | | | | | | 
% 196.97/33.84  | | | | | | | REF_CLOSE: (15), (17), (41), (81) are inconsistent by sub-proof
% 196.97/33.84  | | | | | | |            #1937.
% 196.97/33.84  | | | | | | | 
% 196.97/33.84  | | | | | | Case 2:
% 196.97/33.84  | | | | | | | 
% 196.97/33.84  | | | | | | |   (82)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3,
% 196.97/33.84  | | | | | | |           e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.97/33.84  | | | | | | |         op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 196.97/33.84  | | | | | | |             op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.84  | | | | | | |             all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 196.97/33.84  | | | | | | |               e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.84  | | | | | | |             all_57_1 & $i(all_57_1)))
% 196.97/33.84  | | | | | | | 
% 196.97/33.84  | | | | | | | ALPHA: (82) implies:
% 196.97/33.84  | | | | | | |   (83)  all_57_15 = e3
% 196.97/33.84  | | | | | | |   (84)  op(e0, e3) = e0
% 196.97/33.84  | | | | | | |   (85)  op(e3, e0) = e0
% 196.97/33.84  | | | | | | |   (86)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.97/33.84  | | | | | | |           op(e2, e3) = all_57_0 & $i(all_57_0))
% 196.97/33.84  | | | | | | | 
% 196.97/33.84  | | | | | | | BETA: splitting (2) gives:
% 196.97/33.84  | | | | | | | 
% 196.97/33.84  | | | | | | | Case 1:
% 196.97/33.84  | | | | | | | | 
% 196.97/33.84  | | | | | | | |   (87)  all_54_5 = e3
% 196.97/33.84  | | | | | | | | 
% 196.97/33.84  | | | | | | | | COMBINE_EQS: (44), (87) imply:
% 196.97/33.84  | | | | | | | |   (88)  all_4_2 = e3
% 196.97/33.84  | | | | | | | | 
% 196.97/33.84  | | | | | | | | REDUCE: (37), (88) imply:
% 196.97/33.84  | | | | | | | |   (89)  $false
% 196.97/33.84  | | | | | | | | 
% 196.97/33.84  | | | | | | | | CLOSE: (89) is inconsistent.
% 196.97/33.84  | | | | | | | | 
% 196.97/33.84  | | | | | | | Case 2:
% 196.97/33.84  | | | | | | | | 
% 196.97/33.84  | | | | | | | |   (90)   ~ (all_54_5 = e3)
% 196.97/33.84  | | | | | | | |   (91)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 196.97/33.84  | | | | | | | | 
% 196.97/33.84  | | | | | | | | BETA: splitting (91) gives:
% 196.97/33.84  | | | | | | | | 
% 196.97/33.84  | | | | | | | | Case 1:
% 196.97/33.84  | | | | | | | | | 
% 196.97/33.84  | | | | | | | | |   (92)  all_54_5 = e2
% 196.97/33.84  | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | COMBINE_EQS: (44), (92) imply:
% 196.97/33.84  | | | | | | | | |   (93)  all_4_2 = e2
% 196.97/33.84  | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | REDUCE: (54), (93) imply:
% 196.97/33.84  | | | | | | | | |   (94)   ~ (all_52_9 = e2)
% 196.97/33.84  | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | REDUCE: (49), (93) imply:
% 196.97/33.84  | | | | | | | | |   (95)   ~ (all_52_13 = e2)
% 196.97/33.84  | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | REDUCE: (37), (93) imply:
% 196.97/33.84  | | | | | | | | |   (96)   ~ (e3 = e2)
% 196.97/33.84  | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | REDUCE: (16), (93) imply:
% 196.97/33.84  | | | | | | | | |   (97)  op(e2, e2) = e2
% 196.97/33.84  | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | BETA: splitting (29) gives:
% 196.97/33.84  | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | Case 1:
% 196.97/33.84  | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | |   (98)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 196.97/33.84  | | | | | | | | | |           &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2,
% 196.97/33.84  | | | | | | | | | |             e2) = all_57_12 & op(e1, e3) = all_57_1 & op(e1,
% 196.97/33.84  | | | | | | | | | |             e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 196.97/33.84  | | | | | | | | | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0)
% 196.97/33.84  | | | | | | | | | |           &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2,
% 196.97/33.84  | | | | | | | | | |             e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0,
% 196.97/33.84  | | | | | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 196.97/33.84  | | | | | | | | | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2)
% 196.97/33.84  | | | | | | | | | |           &  ~ (all_57_14 = e3) & op(e2, e3) = all_57_0 &
% 196.97/33.84  | | | | | | | | | |           op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 196.97/33.84  | | | | | | | | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.97/33.84  | | | | | | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0)
% 196.97/33.84  | | | | | | | | | |           &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1,
% 196.97/33.84  | | | | | | | | | |             e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 196.97/33.84  | | | | | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 196.97/33.84  | | | | | | | | | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1)
% 196.97/33.84  | | | | | | | | | |           &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.97/33.84  | | | | | | | | | |           op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 196.97/33.84  | | | | | | | | | |             e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 196.97/33.84  | | | | | | | | | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.97/33.84  | | | | | | | | | |           &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 196.97/33.84  | | | | | | | | | |           op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 196.97/33.84  | | | | | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 196.97/33.84  | | | | | | | | | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3)
% 196.97/33.84  | | | | | | | | | |           &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3,
% 196.97/33.84  | | | | | | | | | |             e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.97/33.84  | | | | | | | | | |           all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.97/33.84  | | | | | | | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 196.97/33.84  | | | | | | | | | |           &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1,
% 196.97/33.84  | | | | | | | | | |             e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 196.97/33.84  | | | | | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 196.97/33.84  | | | | | | | | | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 196.97/33.84  | | | | | | | | | |           &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.97/33.84  | | | | | | | | | |           op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.97/33.84  | | | | | | | | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.97/33.84  | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | BETA: splitting (98) gives:
% 196.97/33.84  | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | Case 1:
% 196.97/33.84  | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | |   (99)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.97/33.84  | | | | | | | | | | |             e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.97/33.84  | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.97/33.84  | | | | | | | | | | |           op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.97/33.84  | | | | | | | | | | |         | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.97/33.84  | | | | | | | | | | |             e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.97/33.84  | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.97/33.84  | | | | | | | | | | |           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.97/33.84  | | | | | | | | | | |         | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.97/33.84  | | | | | | | | | | |             e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.97/33.84  | | | | | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.97/33.84  | | | | | | | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.97/33.84  | | | | | | | | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.97/33.84  | | | | | | | | | | |           &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.97/33.84  | | | | | | | | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.84  | | | | | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.97/33.84  | | | | | | | | | | |           $i(all_57_2) & $i(all_57_14))
% 196.97/33.84  | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | BETA: splitting (99) gives:
% 196.97/33.84  | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | Case 1:
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | |   (100)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.97/33.84  | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.97/33.84  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 196.97/33.84  | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 196.97/33.84  | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 196.97/33.84  | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.97/33.84  | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 196.97/33.84  | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | REF_CLOSE: (15), (16), (37), (86), (100) are inconsistent by
% 196.97/33.84  | | | | | | | | | | | |            sub-proof #1223.
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | Case 2:
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | |   (101)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.97/33.84  | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.97/33.84  | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.97/33.84  | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 196.97/33.84  | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 196.97/33.84  | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 196.97/33.84  | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.84  | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 196.97/33.84  | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | REF_CLOSE: (3), (15), (16), (37), (51), (101) are
% 196.97/33.84  | | | | | | | | | | | |            inconsistent by sub-proof #1973.
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | End of split
% 196.97/33.84  | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | Case 2:
% 196.97/33.84  | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | |   (102)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.97/33.84  | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.97/33.84  | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.97/33.84  | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.97/33.84  | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.97/33.84  | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.97/33.84  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.97/33.84  | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.97/33.84  | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 196.97/33.84  | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.97/33.84  | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.97/33.84  | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.97/33.84  | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 196.97/33.84  | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.97/33.84  | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.97/33.84  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.97/33.84  | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.97/33.84  | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.97/33.84  | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.97/33.84  | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.97/33.84  | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.97/33.84  | | | | | | | | | | |            $i(all_57_10))
% 196.97/33.84  | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | BETA: splitting (102) gives:
% 196.97/33.84  | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | Case 1:
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | |   (103)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.97/33.84  | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.97/33.84  | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 196.97/33.84  | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 196.97/33.84  | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 196.97/33.84  | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 196.97/33.84  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.97/33.84  | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.97/33.84  | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | REF_CLOSE: (14), (15), (61), (64), (103) are inconsistent by
% 196.97/33.84  | | | | | | | | | | | |            sub-proof #1222.
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | Case 2:
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | |   (104)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.97/33.84  | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.97/33.84  | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.97/33.84  | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 196.97/33.84  | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 196.97/33.84  | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 196.97/33.84  | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.84  | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 196.97/33.84  | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 196.97/33.84  | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.97/33.84  | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 196.97/33.84  | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 196.97/33.84  | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | BETA: splitting (104) gives:
% 196.97/33.84  | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | Case 1:
% 196.97/33.84  | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | |   (105)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.97/33.84  | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.97/33.84  | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 196.97/33.84  | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 196.97/33.84  | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | | ALPHA: (105) implies:
% 196.97/33.84  | | | | | | | | | | | | |   (106)   ~ (all_57_3 = e3)
% 196.97/33.84  | | | | | | | | | | | | |   (107)  op(e3, e2) = all_57_3
% 196.97/33.84  | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | | REF_CLOSE: (15), (38), (106), (107) are inconsistent by
% 196.97/33.84  | | | | | | | | | | | | |            sub-proof #1889.
% 196.97/33.84  | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | Case 2:
% 196.97/33.84  | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | |   (108)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.97/33.84  | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.97/33.84  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.97/33.84  | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.97/33.84  | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.97/33.84  | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.97/33.84  | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.97/33.84  | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.97/33.84  | | | | | | | | | | | | |            $i(all_57_10))
% 196.97/33.84  | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | | BETA: splitting (108) gives:
% 196.97/33.84  | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | | Case 1:
% 196.97/33.84  | | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | | |   (109)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 196.97/33.84  | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 196.97/33.84  | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 196.97/33.84  | | | | | | | | | | | | | |          op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 196.97/33.84  | | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | | | ALPHA: (109) implies:
% 196.97/33.84  | | | | | | | | | | | | | |   (110)  op(e0, e0) = e2
% 196.97/33.84  | | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (61), (110) are inconsistent by
% 196.97/33.84  | | | | | | | | | | | | | |            sub-proof #1692.
% 196.97/33.84  | | | | | | | | | | | | | | 
% 196.97/33.84  | | | | | | | | | | | | | Case 2:
% 196.97/33.84  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | |   (111)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.97/33.85  | | | | | | | | | | | | | |            e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 196.97/33.85  | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.97/33.85  | | | | | | | | | | | | | |          $i(all_57_10)
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | ALPHA: (111) implies:
% 196.97/33.85  | | | | | | | | | | | | | |   (112)   ~ (all_57_10 = e1)
% 196.97/33.85  | | | | | | | | | | | | | |   (113)  op(e3, e3) = all_57_10
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (112), (113) are inconsistent by
% 196.97/33.85  | | | | | | | | | | | | | |            sub-proof #1319.
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | |   (114)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.97/33.85  | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.97/33.85  | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.85  | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.97/33.85  | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.97/33.85  | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.97/33.85  | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.97/33.85  | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.97/33.85  | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.97/33.85  | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.97/33.85  | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.97/33.85  | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.97/33.85  | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.97/33.85  | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.97/33.85  | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.97/33.85  | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.97/33.85  | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.97/33.85  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 196.97/33.85  | | | | | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 &
% 196.97/33.85  | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 196.97/33.85  | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.97/33.85  | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.97/33.85  | | | | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) =
% 196.97/33.85  | | | | | | | | | |            e2 & $i(all_57_9) & $i(all_57_12)) | (all_57_10 =
% 196.97/33.85  | | | | | | | | | |            e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 196.97/33.85  | | | | | | | | | |            (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.97/33.85  | | | | | | | | | |            all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.97/33.85  | | | | | | | | | |            e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 =
% 196.97/33.85  | | | | | | | | | |            e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 196.97/33.85  | | | | | | | | | |            (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 196.97/33.85  | | | | | | | | | |            op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 196.97/33.85  | | | | | | | | | |            all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 196.97/33.85  | | | | | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.97/33.85  | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.97/33.85  | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 196.97/33.85  | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14))
% 196.97/33.85  | | | | | | | | | |          | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.85  | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.97/33.85  | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.97/33.85  | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.97/33.85  | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.97/33.85  | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.97/33.85  | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.97/33.85  | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.97/33.85  | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.97/33.85  | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.97/33.85  | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.97/33.85  | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.97/33.85  | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.97/33.85  | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.97/33.85  | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.97/33.85  | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.97/33.85  | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.97/33.85  | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | BETA: splitting (114) gives:
% 196.97/33.85  | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | Case 1:
% 196.97/33.85  | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | |   (115)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.97/33.85  | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.97/33.85  | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.85  | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.97/33.85  | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.97/33.85  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.97/33.85  | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.97/33.85  | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.97/33.85  | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.97/33.85  | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 196.97/33.85  | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 196.97/33.85  | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.97/33.85  | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 196.97/33.85  | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 196.97/33.85  | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 196.97/33.85  | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 196.97/33.85  | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 196.97/33.85  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.97/33.85  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.97/33.85  | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 196.97/33.85  | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | BETA: splitting (115) gives:
% 196.97/33.85  | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | Case 1:
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | |   (116)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.97/33.85  | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 196.97/33.85  | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.85  | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 196.97/33.85  | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 196.97/33.85  | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 196.97/33.85  | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 196.97/33.85  | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | REF_CLOSE: (15), (55), (61), (63), (94), (116) are
% 196.97/33.85  | | | | | | | | | | | |            inconsistent by sub-proof #1221.
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | |   (117)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 196.97/33.85  | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.97/33.85  | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.97/33.85  | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.85  | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 196.97/33.85  | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 196.97/33.85  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 196.97/33.85  | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.97/33.85  | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 196.97/33.85  | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.97/33.85  | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 196.97/33.85  | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 196.97/33.85  | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | REF_CLOSE: (15), (61), (63), (66), (85), (117) are
% 196.97/33.85  | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | |   (118)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.97/33.85  | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.97/33.85  | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.97/33.85  | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.97/33.85  | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.97/33.85  | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.97/33.85  | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.97/33.85  | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.97/33.85  | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 196.97/33.85  | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 196.97/33.85  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.97/33.85  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.97/33.85  | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 196.97/33.85  | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.97/33.85  | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.97/33.85  | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.97/33.85  | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 196.97/33.85  | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.85  | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 196.97/33.85  | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.97/33.85  | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 196.97/33.85  | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 196.97/33.85  | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.97/33.85  | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.97/33.85  | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.97/33.85  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.97/33.85  | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.97/33.85  | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.97/33.85  | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.97/33.85  | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.97/33.85  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.97/33.85  | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.97/33.85  | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.97/33.85  | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.97/33.85  | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | BETA: splitting (118) gives:
% 196.97/33.85  | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | Case 1:
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | |   (119)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 196.97/33.85  | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 196.97/33.85  | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 196.97/33.85  | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 196.97/33.85  | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 196.97/33.85  | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 196.97/33.85  | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 196.97/33.85  | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 196.97/33.85  | | | | | | | | | | | |            $i(all_57_14))
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | REF_CLOSE: (15), (17), (41), (119) are inconsistent by
% 196.97/33.85  | | | | | | | | | | | |            sub-proof #1936.
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | |   (120)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.97/33.85  | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.97/33.85  | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.97/33.85  | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.97/33.85  | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 196.97/33.85  | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 196.97/33.85  | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.97/33.85  | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.97/33.85  | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.97/33.85  | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.97/33.85  | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.97/33.85  | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.97/33.85  | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.85  | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.97/33.85  | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 196.97/33.85  | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.97/33.85  | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 196.97/33.85  | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 196.97/33.85  | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 196.97/33.85  | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 196.97/33.85  | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 196.97/33.85  | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 196.97/33.85  | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.97/33.85  | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 196.97/33.85  | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 196.97/33.85  | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 196.97/33.85  | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | BETA: splitting (120) gives:
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | Case 1:
% 196.97/33.85  | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | |   (121)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 196.97/33.85  | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.97/33.85  | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 196.97/33.85  | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.97/33.85  | | | | | | | | | | | | |          $i(all_57_13)
% 196.97/33.85  | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | ALPHA: (121) implies:
% 196.97/33.85  | | | | | | | | | | | | |   (122)  op(e2, e0) = e2
% 196.97/33.85  | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | REF_CLOSE: (15), (26), (95), (122) are inconsistent by
% 196.97/33.85  | | | | | | | | | | | | |            sub-proof #1662.
% 196.97/33.85  | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | |   (123)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.97/33.85  | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.97/33.85  | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 196.97/33.85  | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 196.97/33.85  | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 196.97/33.85  | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 196.97/33.85  | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.97/33.85  | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 196.97/33.85  | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 196.97/33.85  | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 196.97/33.85  | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 196.97/33.85  | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.97/33.85  | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.97/33.85  | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.97/33.85  | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.97/33.85  | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 196.97/33.85  | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.97/33.85  | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 196.97/33.85  | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 196.97/33.85  | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 196.97/33.85  | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.97/33.85  | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.97/33.85  | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 196.97/33.85  | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 196.97/33.85  | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 196.97/33.85  | | | | | | | | | | | | |                & $i(all_57_7))))
% 196.97/33.85  | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | BETA: splitting (123) gives:
% 196.97/33.85  | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | Case 1:
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | |   (124)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 196.97/33.85  | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 196.97/33.85  | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | ALPHA: (124) implies:
% 196.97/33.85  | | | | | | | | | | | | | |   (125)  op(e2, e2) = e0
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | REF_CLOSE: (15), (65), (97), (125) are inconsistent by
% 196.97/33.85  | | | | | | | | | | | | | |            sub-proof #1939.
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | |   (126)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.85  | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.97/33.85  | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.97/33.85  | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 196.97/33.85  | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 196.97/33.85  | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.97/33.85  | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 196.97/33.85  | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.97/33.85  | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.97/33.85  | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.97/33.85  | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 196.97/33.85  | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.97/33.85  | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 196.97/33.85  | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.97/33.85  | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 196.97/33.85  | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.97/33.85  | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 196.97/33.85  | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.97/33.85  | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | ALPHA: (126) implies:
% 196.97/33.85  | | | | | | | | | | | | | |   (127)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.97/33.85  | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.97/33.85  | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 196.97/33.85  | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.97/33.85  | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.97/33.85  | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.97/33.85  | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.97/33.85  | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.97/33.85  | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 196.97/33.85  | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.97/33.85  | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.97/33.85  | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.97/33.85  | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.97/33.85  | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.97/33.85  | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.97/33.85  | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.97/33.85  | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.97/33.85  | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | Case 1:
% 196.97/33.85  | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | |   (128)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.97/33.85  | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.97/33.85  | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 196.97/33.85  | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 196.97/33.85  | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 196.97/33.85  | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.97/33.85  | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 196.97/33.85  | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.97/33.85  | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 196.97/33.85  | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | Case 1:
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | |   (129)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.97/33.85  | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.97/33.85  | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | | |          $i(all_57_0)
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 196.97/33.85  | | | | | | | | | | | | | | | |   (130)  op(e2, e2) = e3
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (37), (130) are inconsistent by
% 196.97/33.85  | | | | | | | | | | | | | | | |            sub-proof #1975.
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | |   (131)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.97/33.85  | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.97/33.85  | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 196.97/33.85  | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.97/33.85  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.97/33.85  | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | |   (132)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.97/33.85  | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.97/33.85  | | | | | | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | | ALPHA: (132) implies:
% 196.97/33.85  | | | | | | | | | | | | | | | | |   (133)   ~ (all_57_15 = e3)
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | | REDUCE: (83), (133) imply:
% 196.97/33.85  | | | | | | | | | | | | | | | | |   (134)  $false
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | | CLOSE: (134) is inconsistent.
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | |   (135)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 196.97/33.85  | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 196.97/33.85  | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | | | |          $i(all_57_3)
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 196.97/33.85  | | | | | | | | | | | | | | | | |   (136)   ~ (all_57_3 = e3)
% 196.97/33.85  | | | | | | | | | | | | | | | | |   (137)  op(e3, e2) = all_57_3
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (38), (136), (137) are inconsistent by
% 196.97/33.85  | | | | | | | | | | | | | | | | |            sub-proof #1889.
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | |   (138)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.97/33.85  | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.97/33.85  | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 196.97/33.85  | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 196.97/33.85  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 196.97/33.85  | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.97/33.85  | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 196.97/33.85  | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 196.97/33.85  | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 196.97/33.85  | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | Case 1:
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | |   (139)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.97/33.85  | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.97/33.85  | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | | |          $i(all_57_4)
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 196.97/33.85  | | | | | | | | | | | | | | | |   (140)  op(e1, e1) = e2
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (64), (140) are inconsistent by
% 196.97/33.85  | | | | | | | | | | | | | | | |            sub-proof #1777.
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | |   (141)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.97/33.85  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.97/33.85  | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 196.97/33.85  | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.97/33.85  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.97/33.85  | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | |   (142)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.97/33.85  | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.97/33.85  | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | | | |          $i(all_57_6)
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | | ALPHA: (142) implies:
% 196.97/33.85  | | | | | | | | | | | | | | | | |   (143)  op(e0, e1) = e0
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (24), (33), (69), (84), (143) are
% 196.97/33.85  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1671.
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | |   (144)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.97/33.85  | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.97/33.85  | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.97/33.85  | | | | | | | | | | | | | | | | |          $i(all_57_7)
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | | ALPHA: (144) implies:
% 196.97/33.85  | | | | | | | | | | | | | | | | |   (145)  op(e2, e2) = e1
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (47), (97), (145) are inconsistent by
% 196.97/33.85  | | | | | | | | | | | | | | | | |            sub-proof #1783.
% 196.97/33.85  | | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | | 
% 196.97/33.85  | | | | | | | | Case 2:
% 196.97/33.85  | | | | | | | | | 
% 196.97/33.85  | | | | | | | | |   (146)  all_54_5 = e1 | all_54_5 = e0
% 196.97/33.85  | | | | | | | | | 
% 196.97/33.85  | | | | | | | | | REF_CLOSE: (44), (71), (73), (146) are inconsistent by
% 196.97/33.85  | | | | | | | | |            sub-proof #1941.
% 196.97/33.85  | | | | | | | | | 
% 196.97/33.85  | | | | | | | | End of split
% 196.97/33.85  | | | | | | | | 
% 196.97/33.85  | | | | | | | End of split
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | End of split
% 196.97/33.85  | | | | | | 
% 196.97/33.85  | | | | | Case 2:
% 196.97/33.85  | | | | | | 
% 196.97/33.85  | | | | | |   (147)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2,
% 196.97/33.85  | | | | | |              e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 196.97/33.85  | | | | | |              e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 &
% 196.97/33.85  | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.97/33.85  | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.85  | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.97/33.85  | | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 &
% 196.97/33.85  | | | | | |            all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 &
% 196.97/33.85  | | | | | |            op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.97/33.85  | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.97/33.85  | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.97/33.85  | | | | | |                $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2)
% 196.97/33.85  | | | | | |              | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.97/33.85  | | | | | |                $i(all_57_5))))
% 196.97/33.85  | | | | | | 
% 196.97/33.85  | | | | | | BETA: splitting (147) gives:
% 196.97/33.85  | | | | | | 
% 196.97/33.85  | | | | | | Case 1:
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | |   (148)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2,
% 196.97/33.85  | | | | | | |            e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 196.97/33.85  | | | | | | |            e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 &
% 196.97/33.85  | | | | | | |              op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.97/33.85  | | | | | | |              all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.85  | | | | | | |                e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.97/33.85  | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | | ALPHA: (148) implies:
% 196.97/33.85  | | | | | | |   (149)  op(e2, e2) = e1
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | | REF_CLOSE: (15), (16), (71), (149) are inconsistent by sub-proof
% 196.97/33.85  | | | | | | |            #1969.
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | Case 2:
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | |   (150)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2,
% 196.97/33.85  | | | | | | |            e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 &
% 196.97/33.85  | | | | | | |          op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 196.97/33.85  | | | | | | |              op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.85  | | | | | | |              all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.85  | | | | | | |                e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.97/33.85  | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | | ALPHA: (150) implies:
% 196.97/33.85  | | | | | | |   (151)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.97/33.85  | | | | | | |            & op(e3, e2) = all_57_3 & $i(all_57_3))
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | | REF_CLOSE: (15), (17), (38), (47), (151) are inconsistent by
% 196.97/33.85  | | | | | | |            sub-proof #1888.
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | End of split
% 196.97/33.85  | | | | | | 
% 196.97/33.85  | | | | | End of split
% 196.97/33.85  | | | | | 
% 196.97/33.85  | | | | End of split
% 196.97/33.85  | | | | 
% 196.97/33.85  | | | Case 2:
% 196.97/33.85  | | | | 
% 196.97/33.85  | | | |   (152)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 196.97/33.85  | | | |            e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 196.97/33.85  | | | |            all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 196.97/33.85  | | | |                e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.85  | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 196.97/33.85  | | | |                ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.85  | | | |                $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 196.97/33.85  | | | |            all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.97/33.85  | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.97/33.85  | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.97/33.85  | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.97/33.85  | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.97/33.85  | | | |                all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 =
% 196.97/33.85  | | | |            e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 &
% 196.97/33.85  | | | |            op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.85  | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.97/33.85  | | | |                op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 196.97/33.85  | | | |                & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.97/33.85  | | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13
% 196.97/33.85  | | | |            = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.97/33.85  | | | |            e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.97/33.85  | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.97/33.85  | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.97/33.85  | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.97/33.85  | | | |                all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3)
% 196.97/33.85  | | | |            = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 196.97/33.85  | | | |                  e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.85  | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.97/33.85  | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.97/33.85  | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.97/33.85  | | | |                all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2)
% 196.97/33.85  | | | |            = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 196.97/33.85  | | | |                  e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.85  | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.97/33.85  | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 196.97/33.85  | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.97/33.85  | | | |                all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1)
% 196.97/33.85  | | | |            = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 196.97/33.85  | | | |                  e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.85  | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.97/33.85  | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 196.97/33.85  | | | |                & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.97/33.85  | | | |                all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0)
% 196.97/33.85  | | | |            = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.97/33.85  | | | |                  e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.85  | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 196.97/33.85  | | | |                op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 196.97/33.85  | | | |                e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 196.97/33.85  | | | |                = all_57_13 & $i(all_57_13))))
% 196.97/33.85  | | | | 
% 196.97/33.85  | | | | BETA: splitting (152) gives:
% 196.97/33.85  | | | | 
% 196.97/33.85  | | | | Case 1:
% 196.97/33.85  | | | | | 
% 196.97/33.85  | | | | |   (153)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2)
% 196.97/33.85  | | | | |            = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 196.97/33.85  | | | | |            all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 196.97/33.85  | | | | |                e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.85  | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) |
% 196.97/33.85  | | | | |              ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.85  | | | | |                $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 196.97/33.85  | | | | |            all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.97/33.85  | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 196.97/33.85  | | | | |            ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.97/33.85  | | | | |                op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 196.97/33.85  | | | | |                e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 196.97/33.85  | | | | |                  e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 196.97/33.85  | | | | |            all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 196.97/33.85  | | | | |              e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 196.97/33.85  | | | | |            $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.85  | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.85  | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) |
% 196.97/33.85  | | | | |              ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.85  | | | | |                $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 &
% 196.97/33.85  | | | | |            all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.97/33.85  | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.97/33.85  | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.97/33.85  | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 196.97/33.85  | | | | |                e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 196.97/33.85  | | | | |                  e1) = all_57_7 & $i(all_57_7))))
% 196.97/33.85  | | | | | 
% 196.97/33.85  | | | | | BETA: splitting (153) gives:
% 196.97/33.85  | | | | | 
% 196.97/33.85  | | | | | Case 1:
% 196.97/33.85  | | | | | | 
% 196.97/33.85  | | | | | |   (154)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 196.97/33.85  | | | | | |              e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 196.97/33.85  | | | | | |              e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 196.97/33.85  | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 196.97/33.85  | | | | | |                all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.85  | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.97/33.85  | | | | | |                all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 196.97/33.85  | | | | | |            all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12
% 196.97/33.85  | | | | | |            & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.97/33.85  | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.97/33.85  | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.97/33.85  | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2)
% 196.97/33.85  | | | | | |              | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.85  | | | | | |                $i(all_57_4))))
% 196.97/33.85  | | | | | | 
% 196.97/33.85  | | | | | | BETA: splitting (154) gives:
% 196.97/33.85  | | | | | | 
% 196.97/33.85  | | | | | | Case 1:
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | |   (155)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 196.97/33.85  | | | | | | |            e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 196.97/33.85  | | | | | | |            e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 196.97/33.85  | | | | | | |              op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 196.97/33.85  | | | | | | |              all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.85  | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 196.97/33.85  | | | | | | |              all_57_13 & $i(all_57_13)))
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | | ALPHA: (155) implies:
% 196.97/33.85  | | | | | | |   (156)  op(e2, e2) = e0
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | | REF_CLOSE: (2), (15), (16), (37), (44), (71), (73), (156) are
% 196.97/33.85  | | | | | | |            inconsistent by sub-proof #1220.
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | Case 2:
% 196.97/33.85  | | | | | | | 
% 196.97/33.85  | | | | | | |   (157)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2,
% 196.97/33.85  | | | | | | |            e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 196.97/33.85  | | | | | | |          op(e0, e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 196.97/33.85  | | | | | | |              op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.85  | | | | | | |              all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 196.97/33.85  | | | | | | |                e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 196.97/33.86  | | | | | | |              all_57_4 & $i(all_57_4)))
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | | ALPHA: (157) implies:
% 196.97/33.86  | | | | | | |   (158)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.97/33.86  | | | | | | |            & op(e3, e2) = all_57_3 & $i(all_57_3))
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | | REF_CLOSE: (15), (17), (38), (47), (158) are inconsistent by
% 196.97/33.86  | | | | | | |            sub-proof #1888.
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | End of split
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | Case 2:
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | |   (159)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1,
% 196.97/33.86  | | | | | |              e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 196.97/33.86  | | | | | |              e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 196.97/33.86  | | | | | |                op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 196.97/33.86  | | | | | |                all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.97/33.86  | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.97/33.86  | | | | | |                all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 196.97/33.86  | | | | | |            all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.97/33.86  | | | | | |            & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.97/33.86  | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.97/33.86  | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.86  | | | | | |                $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1)
% 196.97/33.86  | | | | | |              | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.86  | | | | | |                $i(all_57_7))))
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | | REF_CLOSE: (15), (61), (63), (64), (66), (159) are inconsistent by
% 196.97/33.86  | | | | | |            sub-proof #1219.
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | End of split
% 196.97/33.86  | | | | | 
% 196.97/33.86  | | | | Case 2:
% 196.97/33.86  | | | | | 
% 196.97/33.86  | | | | |   (160)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 196.97/33.86  | | | | |                  e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.86  | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 196.97/33.86  | | | | |                  e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.86  | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.97/33.86  | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.97/33.86  | | | | |                all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 196.97/33.86  | | | | |              e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.97/33.86  | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.97/33.86  | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) |
% 196.97/33.86  | | | | |              ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.86  | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.86  | | | | |              ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.97/33.86  | | | | |                $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 196.97/33.86  | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.97/33.86  | | | | |                op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 196.97/33.86  | | | | |                e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 196.97/33.86  | | | | |                  e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 196.97/33.86  | | | | |                op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.97/33.86  | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 196.97/33.86  | | | | |              e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.86  | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.86  | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) |
% 196.97/33.86  | | | | |              ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.86  | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) |
% 196.97/33.86  | | | | |              ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.86  | | | | |                $i(all_57_13))))
% 196.97/33.86  | | | | | 
% 196.97/33.86  | | | | | BETA: splitting (160) gives:
% 196.97/33.86  | | | | | 
% 196.97/33.86  | | | | | Case 1:
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | |   (161)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 196.97/33.86  | | | | | |                op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.86  | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 196.97/33.86  | | | | | |                  e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.86  | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.97/33.86  | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.97/33.86  | | | | | |                all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 196.97/33.86  | | | | | |              e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.97/33.86  | | | | | |                (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 196.97/33.86  | | | | | |                $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2)
% 196.97/33.86  | | | | | |              | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.86  | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2)
% 196.97/33.86  | | | | | |              | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.97/33.86  | | | | | |                $i(all_57_5))))
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | | REF_CLOSE: (3), (8), (12), (13), (14), (15), (17), (38), (39), (41),
% 196.97/33.86  | | | | | |            (47), (51), (63), (65), (66), (161) are inconsistent by
% 196.97/33.86  | | | | | |            sub-proof #1215.
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | Case 2:
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | |   (162)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 196.97/33.86  | | | | | |                op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.97/33.86  | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 196.97/33.86  | | | | | |                  e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.97/33.86  | | | | | |                all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.86  | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.97/33.86  | | | | | |                all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 196.97/33.86  | | | | | |              e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.86  | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.86  | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0)
% 196.97/33.86  | | | | | |              | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.86  | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.97/33.86  | | | | | |              | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.86  | | | | | |                $i(all_57_13))))
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | | REF_CLOSE: (15), (61), (63), (64), (66), (162) are inconsistent by
% 196.97/33.86  | | | | | |            sub-proof #1214.
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | End of split
% 196.97/33.86  | | | | | 
% 196.97/33.86  | | | | End of split
% 196.97/33.86  | | | | 
% 196.97/33.86  | | | End of split
% 196.97/33.86  | | | 
% 196.97/33.86  | | Case 2:
% 196.97/33.86  | | | 
% 196.97/33.86  | | |   (163)  all_32_2 = e0
% 196.97/33.86  | | |   (164)  ( ~ (all_32_0 = e3) & op(all_32_1, e2) = all_32_0 & op(e2, e0) =
% 196.97/33.86  | | |            all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 = e1) &
% 196.97/33.86  | | |            op(e2, e0) = all_32_1 & $i(all_32_1))
% 196.97/33.86  | | | 
% 196.97/33.86  | | | COMBINE_EQS: (67), (163) imply:
% 196.97/33.86  | | |   (165)  all_4_2 = e0
% 196.97/33.86  | | | 
% 196.97/33.86  | | | SIMP: (165) implies:
% 196.97/33.86  | | |   (166)  all_4_2 = e0
% 196.97/33.86  | | | 
% 196.97/33.86  | | | COMBINE_EQS: (53), (166) imply:
% 196.97/33.86  | | |   (167)  all_36_2 = e0
% 196.97/33.86  | | | 
% 196.97/33.86  | | | REDUCE: (37), (166) imply:
% 196.97/33.86  | | |   (168)   ~ (e3 = e0)
% 196.97/33.86  | | | 
% 196.97/33.86  | | | REDUCE: (71), (166) imply:
% 196.97/33.86  | | |   (169)   ~ (e1 = e0)
% 196.97/33.86  | | | 
% 196.97/33.86  | | | REDUCE: (16), (166) imply:
% 196.97/33.86  | | |   (170)  op(e2, e2) = e0
% 196.97/33.86  | | | 
% 196.97/33.86  | | | BETA: splitting (48) gives:
% 196.97/33.86  | | | 
% 196.97/33.86  | | | Case 1:
% 196.97/33.86  | | | | 
% 196.97/33.86  | | | |   (171)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2)
% 196.97/33.86  | | | |            = e2)
% 196.97/33.86  | | | | 
% 196.97/33.86  | | | | REF_CLOSE: (14), (15), (39), (65), (170), (171) are inconsistent by
% 196.97/33.86  | | | |            sub-proof #1439.
% 196.97/33.86  | | | | 
% 196.97/33.86  | | | Case 2:
% 196.97/33.86  | | | | 
% 196.97/33.86  | | | |   (172)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2,
% 196.97/33.86  | | | |              e0) = e2)
% 196.97/33.86  | | | | 
% 196.97/33.86  | | | | BETA: splitting (172) gives:
% 196.97/33.86  | | | | 
% 196.97/33.86  | | | | Case 1:
% 196.97/33.86  | | | | | 
% 196.97/33.86  | | | | |   (173)  all_56_5 = e2 & op(e2, e1) = e2
% 196.97/33.86  | | | | | 
% 196.97/33.86  | | | | | ALPHA: (173) implies:
% 196.97/33.86  | | | | |   (174)  all_56_5 = e2
% 196.97/33.86  | | | | |   (175)  op(e2, e1) = e2
% 196.97/33.86  | | | | | 
% 196.97/33.86  | | | | | BETA: splitting (20) gives:
% 196.97/33.86  | | | | | 
% 196.97/33.86  | | | | | Case 1:
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | |   (176)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2,
% 196.97/33.86  | | | | | |              e1) = e1)
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | | REF_CLOSE: (15), (32), (47), (60), (175), (176) are inconsistent by
% 196.97/33.86  | | | | | |            sub-proof #1391.
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | Case 2:
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | |   (177)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 196.97/33.86  | | | | | |            op(e0, e1) = e1)
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | | BETA: splitting (177) gives:
% 196.97/33.86  | | | | | | 
% 196.97/33.86  | | | | | | Case 1:
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | |   (178)  all_56_8 = e1 & op(e1, e1) = e1
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | | ALPHA: (178) implies:
% 196.97/33.86  | | | | | | |   (179)  op(e1, e1) = e1
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | | REF_CLOSE: (15), (63), (64), (179) are inconsistent by sub-proof
% 196.97/33.86  | | | | | | |            #1978.
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | Case 2:
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | |   (180)  all_56_14 = e1 & op(e0, e1) = e1
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | | ALPHA: (180) implies:
% 196.97/33.86  | | | | | | |   (181)  all_56_14 = e1
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | | BETA: splitting (46) gives:
% 196.97/33.86  | | | | | | | 
% 196.97/33.86  | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | 
% 196.97/33.86  | | | | | | | |   (182)  all_56_15 = e0 & op(e0, e0) = e0
% 196.97/33.86  | | | | | | | | 
% 196.97/33.86  | | | | | | | | REF_CLOSE: (6), (14), (15), (16), (26), (27), (35), (36), (37),
% 196.97/33.86  | | | | | | | |            (39), (40), (41), (47), (48), (63), (65), (66),
% 196.97/33.86  | | | | | | | |            (167), (170), (182) are inconsistent by sub-proof
% 196.97/33.86  | | | | | | | |            #1212.
% 196.97/33.86  | | | | | | | | 
% 196.97/33.86  | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | 
% 196.97/33.86  | | | | | | | |   (183)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 196.97/33.86  | | | | | | | |              op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.97/33.86  | | | | | | | |              e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 196.97/33.86  | | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0
% 196.97/33.86  | | | | | | | |              & op(e0, e1) = e0))
% 196.97/33.86  | | | | | | | | 
% 196.97/33.86  | | | | | | | | ALPHA: (183) implies:
% 196.97/33.86  | | | | | | | |   (184)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.97/33.86  | | | | | | | |            op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.97/33.86  | | | | | | | | 
% 196.97/33.86  | | | | | | | | BETA: splitting (9) gives:
% 196.97/33.86  | | | | | | | | 
% 196.97/33.86  | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | 
% 196.97/33.86  | | | | | | | | |   (185)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 &
% 196.97/33.86  | | | | | | | | |            op(e2, e1) = e0)
% 196.97/33.86  | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | BETA: splitting (185) gives:
% 196.97/33.86  | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | |   (186)  all_56_4 = e0 & op(e3, e1) = e0
% 196.97/33.86  | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | ALPHA: (186) implies:
% 196.97/33.86  | | | | | | | | | |   (187)  all_56_4 = e0
% 196.97/33.86  | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | BETA: splitting (30) gives:
% 196.97/33.86  | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | |   (188)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 196.97/33.86  | | | | | | | | | | |            & op(e3, e2) = e2)
% 196.97/33.86  | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | REF_CLOSE: (14), (15), (17), (38), (47), (188) are
% 196.97/33.86  | | | | | | | | | | |            inconsistent by sub-proof #1211.
% 196.97/33.86  | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | |   (189)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 196.97/33.86  | | | | | | | | | | |            & op(e3, e0) = e2)
% 196.97/33.86  | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | BETA: splitting (189) gives:
% 196.97/33.86  | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | |   (190)  all_56_4 = e2 & op(e3, e1) = e2
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | ALPHA: (190) implies:
% 196.97/33.86  | | | | | | | | | | | |   (191)  all_56_4 = e2
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | COMBINE_EQS: (187), (191) imply:
% 196.97/33.86  | | | | | | | | | | | |   (192)  e2 = e0
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | SIMP: (192) implies:
% 196.97/33.86  | | | | | | | | | | | |   (193)  e2 = e0
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | COMBINE_EQS: (174), (193) imply:
% 196.97/33.86  | | | | | | | | | | | |   (194)  all_56_5 = e0
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (39), (40), (41),
% 196.97/33.86  | | | | | | | | | | | |            (42), (47), (48), (63), (65), (66), (170), (194)
% 196.97/33.86  | | | | | | | | | | | |            are inconsistent by sub-proof #1839.
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | |   (195)  all_56_9 = e2 & op(e3, e0) = e2
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | ALPHA: (195) implies:
% 196.97/33.86  | | | | | | | | | | | |   (196)  op(e3, e0) = e2
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | BETA: splitting (40) gives:
% 196.97/33.86  | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | |   (197)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 196.97/33.86  | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 196.97/33.86  | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (41), (42), (47),
% 196.97/33.86  | | | | | | | | | | | | |            (63), (65), (66), (170), (197) are inconsistent by
% 196.97/33.86  | | | | | | | | | | | | |            sub-proof #1843.
% 196.97/33.86  | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | |   (198)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 196.97/33.86  | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 196.97/33.86  | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | BETA: splitting (198) gives:
% 196.97/33.86  | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | |   (199)  all_56_5 = e1 & op(e2, e1) = e1
% 196.97/33.86  | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | ALPHA: (199) implies:
% 196.97/33.86  | | | | | | | | | | | | | |   (200)  op(e2, e1) = e1
% 196.97/33.86  | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | REF_CLOSE: (15), (47), (175), (200) are inconsistent by
% 196.97/33.86  | | | | | | | | | | | | | |            sub-proof #1441.
% 196.97/33.86  | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | |   (201)  all_56_10 = e1 & op(e2, e0) = e1
% 196.97/33.86  | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | ALPHA: (201) implies:
% 196.97/33.86  | | | | | | | | | | | | | |   (202)  op(e2, e0) = e1
% 196.97/33.86  | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 196.97/33.86  | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | |   (203)  all_56_12 = e0 & op(e0, e3) = e0
% 196.97/33.86  | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 196.97/33.86  | | | | | | | | | | | | | | |   (204)  all_56_12 = e0
% 196.97/33.86  | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | |   (205)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 196.97/33.86  | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 196.97/33.86  | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | |   (206)  all_56_0 = e2 & op(e3, e3) = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 196.97/33.86  | | | | | | | | | | | | | | | | |   (207)  op(e3, e3) = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (47), (207) are inconsistent by
% 196.97/33.86  | | | | | | | | | | | | | | | | |            sub-proof #1934.
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | |   (208)  all_56_2 = e2 & op(e2, e3) = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 196.97/33.86  | | | | | | | | | | | | | | | | |   (209)  all_56_2 = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (39), (209) are inconsistent by sub-proof
% 196.97/33.86  | | | | | | | | | | | | | | | | |            #1440.
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | End of split
% 196.97/33.86  | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | |   (210)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 196.97/33.86  | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 196.97/33.86  | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | |   (211)  all_56_6 = e2 & op(e1, e3) = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 196.97/33.86  | | | | | | | | | | | | | | | | |   (212)  all_56_6 = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | |   (213)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 196.97/33.86  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 196.97/33.86  | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | |   (214)  all_56_12 = e2 & op(e0, e3) = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | |   (215)  all_56_12 = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (204), (215) imply:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | |   (216)  e2 = e0
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (174), (216) imply:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | |   (217)  all_56_5 = e0
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (39), (40), (41),
% 196.97/33.86  | | | | | | | | | | | | | | | | | | |            (42), (47), (48), (63), (65), (66), (170), (217)
% 196.97/33.86  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1839.
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | |   (218)  all_56_13 = e2 & op(e0, e2) = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | |   (219)  all_56_13 = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | |   (220)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (39), (41), (42),
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | |            (47), (57), (63), (65), (66), (170), (220) are
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1210.
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | |   (221)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | |   (222)  all_56_7 = e1 & op(e1, e2) = e1
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | |   (223)  all_56_7 = e1
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |   (224)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |   (225)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |   (226)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (37), (47), (226) are
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1893.
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (51), (60), (227) are
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1733.
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |   (228)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  op(e3, e3) = e0
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (41), (231) are inconsistent by
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1937.
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1)
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & $i(all_57_1)))
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  op(e3, e0) = e0
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with e2, e0, e0, e3,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (196), (233) gives:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  e2 = e0
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (174), (234) imply:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_56_5 = e0
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (39), (40), (41),
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (47), (48), (63), (65), (66), (170), (235)
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1839.
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)   ~ (all_32_1 = e1) & op(e2, e0) = all_32_1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_32_1)
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (236) implies:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)   ~ (all_32_1 = e1)
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  op(e2, e0) = all_32_1
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (202), (237), (238) are inconsistent by
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1800.
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |   (239)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (38), (41), (47), (170), (239) are
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1378.
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.86  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |   (240)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |   (242)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (26), (38), (47), (55), (62), (175),
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            (242) are inconsistent by sub-proof #1886.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |   (243)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (244) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  op(e1, e1) = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (19), (20), (41), (45), (47), (63),
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (65), (66), (187), (245) are inconsistent by
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (246) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  op(e0, e0) = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (61), (63), (247) are inconsistent by
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1392.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |   (248)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |   (249)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  op(e3, e3) = e3
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (39), (41), (47), (63), (204), (212),
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (251) are inconsistent by sub-proof #1722.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (252) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (38), (47), (253) are inconsistent by
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1888.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |   (254)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  op(e1, e1) = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (63), (64), (256) are inconsistent by
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1978.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (257) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  op(e0, e0) = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (15), (16), (17), (28), (37), (41),
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (57), (61), (63), (65), (66), (170), (223),
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (258), (259) are inconsistent by sub-proof #1209.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_13 = e1 & op(e0, e2) = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | |   (261)  all_56_13 = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (219), (261) are inconsistent by sub-proof
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | |            #1916.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | |   (262)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (47), (61), (181), (262) are
% 196.97/33.87  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1385.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | |   (263)  all_56_12 = e2 & op(e0, e3) = e2
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | ALPHA: (263) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | |   (264)  all_56_12 = e2
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | COMBINE_EQS: (204), (264) imply:
% 196.97/33.87  | | | | | | | | | | | | | | | | |   (265)  e2 = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | SIMP: (265) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | |   (266)  e2 = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | COMBINE_EQS: (174), (266) imply:
% 196.97/33.87  | | | | | | | | | | | | | | | | |   (267)  all_56_5 = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (39), (40), (41),
% 196.97/33.87  | | | | | | | | | | | | | | | | |            (42), (47), (48), (63), (65), (66), (170), (267)
% 196.97/33.87  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1839.
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | |   (268)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 196.97/33.87  | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | |   (269)  all_56_13 = e0 & op(e0, e2) = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | ALPHA: (269) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | |   (270)  all_56_13 = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (8), (9), (11), (12), (14), (15),
% 196.97/33.87  | | | | | | | | | | | | | | | |            (16), (17), (19), (20), (21), (26), (27), (31),
% 196.97/33.87  | | | | | | | | | | | | | | | |            (35), (36), (37), (38), (39), (40), (41), (42),
% 196.97/33.87  | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (51), (57), (63), (64),
% 196.97/33.87  | | | | | | | | | | | | | | | |            (65), (66), (167), (170), (181), (270) are
% 196.97/33.87  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1200.
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | |   (271)  all_56_14 = e0 & op(e0, e1) = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | REF_CLOSE: (41), (181), (271) are inconsistent by sub-proof
% 196.97/33.87  | | | | | | | | | | | | | | | |            #1207.
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | |   (272)  all_56_5 = e0 & op(e2, e1) = e0
% 196.97/33.87  | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | ALPHA: (272) implies:
% 196.97/33.87  | | | | | | | | | |   (273)  all_56_5 = e0
% 196.97/33.87  | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (39), (40), (41),
% 196.97/33.87  | | | | | | | | | |            (42), (47), (48), (63), (65), (66), (170), (273)
% 196.97/33.87  | | | | | | | | | |            are inconsistent by sub-proof #1839.
% 196.97/33.87  | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | 
% 196.97/33.87  | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | 
% 196.97/33.87  | | | | | | | | |   (274)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 &
% 196.97/33.87  | | | | | | | | |            op(e0, e1) = e0)
% 196.97/33.87  | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | REF_CLOSE: (15), (41), (64), (66), (181), (274) are
% 196.97/33.87  | | | | | | | | |            inconsistent by sub-proof #1198.
% 196.97/33.87  | | | | | | | | | 
% 196.97/33.87  | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | End of split
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | End of split
% 196.97/33.87  | | | | | | 
% 196.97/33.87  | | | | | End of split
% 196.97/33.87  | | | | | 
% 196.97/33.87  | | | | Case 2:
% 196.97/33.87  | | | | | 
% 196.97/33.87  | | | | |   (275)  all_56_10 = e2 & op(e2, e0) = e2
% 196.97/33.87  | | | | | 
% 196.97/33.87  | | | | | ALPHA: (275) implies:
% 196.97/33.87  | | | | |   (276)  all_56_10 = e2
% 196.97/33.87  | | | | | 
% 196.97/33.87  | | | | | BETA: splitting (18) gives:
% 196.97/33.87  | | | | | 
% 196.97/33.87  | | | | | Case 1:
% 196.97/33.87  | | | | | | 
% 196.97/33.87  | | | | | |   (277)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 &
% 196.97/33.87  | | | | | |            op(e2, e0) = e1)
% 196.97/33.87  | | | | | | 
% 196.97/33.87  | | | | | | BETA: splitting (277) gives:
% 196.97/33.87  | | | | | | 
% 196.97/33.87  | | | | | | Case 1:
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | |   (278)  all_56_9 = e1 & op(e3, e0) = e1
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | | ALPHA: (278) implies:
% 196.97/33.87  | | | | | | |   (279)  op(e3, e0) = e1
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | | REF_CLOSE: (15), (50), (52), (279) are inconsistent by sub-proof
% 196.97/33.87  | | | | | | |            #1949.
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | Case 2:
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | |   (280)  all_56_10 = e1 & op(e2, e0) = e1
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | | ALPHA: (280) implies:
% 196.97/33.87  | | | | | | |   (281)  all_56_10 = e1
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | | REF_CLOSE: (47), (276), (281) are inconsistent by sub-proof #1197.
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | End of split
% 196.97/33.87  | | | | | | 
% 196.97/33.87  | | | | | Case 2:
% 196.97/33.87  | | | | | | 
% 196.97/33.87  | | | | | |   (282)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 196.97/33.87  | | | | | |            op(e0, e0) = e1)
% 196.97/33.87  | | | | | | 
% 196.97/33.87  | | | | | | BETA: splitting (282) gives:
% 196.97/33.87  | | | | | | 
% 196.97/33.87  | | | | | | Case 1:
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | |   (283)  all_56_11 = e1 & op(e1, e0) = e1
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | | ALPHA: (283) implies:
% 196.97/33.87  | | | | | | |   (284)  all_56_11 = e1
% 196.97/33.87  | | | | | | |   (285)  op(e1, e0) = e1
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | | BETA: splitting (46) gives:
% 196.97/33.87  | | | | | | | 
% 196.97/33.87  | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | |   (286)  all_56_15 = e0 & op(e0, e0) = e0
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | | ALPHA: (286) implies:
% 196.97/33.87  | | | | | | | |   (287)  all_56_15 = e0
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | | COMBINE_EQS: (27), (287) imply:
% 196.97/33.87  | | | | | | | |   (288)  e3 = e0
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | | COMBINE_EQS: (39), (288) imply:
% 196.97/33.87  | | | | | | | |   (289)  all_56_2 = e0
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | | REF_CLOSE: (14), (15), (16), (35), (36), (37), (40), (41), (47),
% 196.97/33.87  | | | | | | | |            (48), (63), (65), (66), (167), (170), (276), (289)
% 196.97/33.87  | | | | | | | |            are inconsistent by sub-proof #1702.
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | |   (290)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 196.97/33.87  | | | | | | | |              op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 196.97/33.87  | | | | | | | |              e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 196.97/33.87  | | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0
% 196.97/33.87  | | | | | | | |              & op(e0, e1) = e0))
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | | ALPHA: (290) implies:
% 196.97/33.87  | | | | | | | |   (291)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 196.97/33.87  | | | | | | | |            op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 196.97/33.87  | | | | | | | |   (292)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 196.97/33.87  | | | | | | | |            op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | | BETA: splitting (40) gives:
% 196.97/33.87  | | | | | | | | 
% 196.97/33.87  | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | 
% 196.97/33.87  | | | | | | | | |   (293)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 196.97/33.87  | | | | | | | | |            op(e2, e2) = e1)
% 196.97/33.87  | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (41), (42), (47),
% 196.97/33.87  | | | | | | | | |            (63), (65), (66), (170), (293) are inconsistent by
% 196.97/33.87  | | | | | | | | |            sub-proof #1843.
% 196.97/33.87  | | | | | | | | | 
% 196.97/33.87  | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | 
% 196.97/33.87  | | | | | | | | |   (294)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 &
% 196.97/33.87  | | | | | | | | |            op(e2, e0) = e1)
% 196.97/33.87  | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | BETA: splitting (294) gives:
% 196.97/33.87  | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | |   (295)  all_56_5 = e1 & op(e2, e1) = e1
% 196.97/33.87  | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | ALPHA: (295) implies:
% 196.97/33.87  | | | | | | | | | |   (296)  all_56_5 = e1
% 196.97/33.87  | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | BETA: splitting (21) gives:
% 196.97/33.87  | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | |   (297)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 196.97/33.87  | | | | | | | | | | |            & op(e1, e2) = e0)
% 196.97/33.87  | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | BETA: splitting (297) gives:
% 196.97/33.87  | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | |   (298)  all_56_6 = e0 & op(e1, e3) = e0
% 196.97/33.87  | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | ALPHA: (298) implies:
% 196.97/33.87  | | | | | | | | | | | |   (299)  all_56_6 = e0
% 196.97/33.87  | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | BETA: splitting (8) gives:
% 196.97/33.87  | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | |   (300)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 196.97/33.87  | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 196.97/33.87  | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | BETA: splitting (300) gives:
% 196.97/33.87  | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | |   (301)  all_56_0 = e2 & op(e3, e3) = e2
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | ALPHA: (301) implies:
% 196.97/33.87  | | | | | | | | | | | | | |   (302)  op(e3, e3) = e2
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (47), (302) are inconsistent by
% 196.97/33.87  | | | | | | | | | | | | | |            sub-proof #1934.
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | |   (303)  all_56_2 = e2 & op(e2, e3) = e2
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | ALPHA: (303) implies:
% 196.97/33.87  | | | | | | | | | | | | | |   (304)  all_56_2 = e2
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (16), (36), (37), (63), (276), (296),
% 196.97/33.87  | | | | | | | | | | | | | |            (304) are inconsistent by sub-proof #1398.
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | |   (305)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 196.97/33.87  | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 196.97/33.87  | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | BETA: splitting (305) gives:
% 196.97/33.87  | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | |   (306)  all_56_6 = e2 & op(e1, e3) = e2
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | REF_CLOSE: (65), (299), (306) are inconsistent by sub-proof
% 196.97/33.87  | | | | | | | | | | | | | |            #1196.
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | |   (307)  all_56_12 = e2 & op(e0, e3) = e2
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | ALPHA: (307) implies:
% 196.97/33.87  | | | | | | | | | | | | | |   (308)  all_56_12 = e2
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 196.97/33.87  | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | |   (309)  all_56_12 = e0 & op(e0, e3) = e0
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | REF_CLOSE: (65), (308), (309) are inconsistent by sub-proof
% 196.97/33.87  | | | | | | | | | | | | | | |            #1592.
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | |   (310)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 196.97/33.87  | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | |   (311)  all_56_13 = e0 & op(e0, e2) = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | |   (312)  all_56_13 = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | |   (313)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 196.97/33.87  | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15), (24), (41), (312), (313) are
% 196.97/33.87  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1453.
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | |   (314)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 196.97/33.87  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | |   (315)  all_56_14 = e1 & op(e0, e1) = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | ALPHA: (315) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | |   (316)  all_56_14 = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (8), (9), (11), (12), (14), (15),
% 196.97/33.87  | | | | | | | | | | | | | | | | | |            (16), (17), (19), (20), (21), (26), (27), (31),
% 196.97/33.87  | | | | | | | | | | | | | | | | | |            (35), (36), (37), (38), (39), (40), (41), (42),
% 196.97/33.87  | | | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (51), (57), (63), (64),
% 196.97/33.87  | | | | | | | | | | | | | | | | | |            (65), (66), (167), (170), (312), (316) are
% 196.97/33.87  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1200.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | |   (317)  all_56_15 = e1 & op(e0, e0) = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | |   (318)  op(e0, e0) = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (61), (63), (318) are inconsistent by
% 196.97/33.87  | | | | | | | | | | | | | | | | | |            sub-proof #1392.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | End of split
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | |   (319)  all_56_14 = e0 & op(e0, e1) = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | ALPHA: (319) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | |   (320)  all_56_14 = e0
% 196.97/33.87  | | | | | | | | | | | | | | | |   (321)  op(e0, e1) = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | |   (322)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 196.97/33.87  | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | |   (323)  all_56_12 = e1 & op(e0, e3) = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | |   (324)  op(e0, e3) = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15), (24), (324) are inconsistent by
% 196.97/33.87  | | | | | | | | | | | | | | | | | |            sub-proof #1950.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | |   (325)  all_56_13 = e1 & op(e0, e2) = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | ALPHA: (325) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | |   (326)  all_56_13 = e1
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | |   (327)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 196.97/33.87  | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (38), (65), (170), (327) are
% 196.97/33.87  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1926.
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | |   (328)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | |   (329)  all_56_7 = e2 & op(e1, e2) = e2
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | |   (330)  all_56_7 = e2
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | |   (331)  all_56_9 = e0 & op(e3, e0) = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | ALPHA: (331) implies:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | |   (332)  all_56_9 = e0
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |   (333)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |   (334)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |   (335)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (37), (47), (335) are
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1893.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |   (336)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (51), (60), (336) are
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1733.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |   (337)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |   (338)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (24), (33), (41), (69), (321), (338)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1195.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |   (339)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (38), (41), (47), (170), (339) are
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1378.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |   (340)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |   (341)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (38), (47), (61), (63), (64), (66),
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            (285), (341) are inconsistent by sub-proof #1194.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |   (342)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |   (343)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (344) implies:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  op(e3, e3) = e3
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (15), (30), (47), (50), (52), (57),
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (65), (332), (345) are inconsistent by
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1192.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (346) implies:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (38), (47), (347) are inconsistent by
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1888.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |   (348)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (63), (64), (66), (285), (348) are
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1254.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | |   (349)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |   (350)  all_56_10 = e0 & op(e2, e0) = e0
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |   (351)  all_56_10 = e0
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (351) imply:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |   (352)  e2 = e0
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (352) imply:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |   (353)  all_56_7 = e0
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (8), (11), (12), (14), (15), (17), (38),
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            (39), (41), (42), (47), (57), (63), (65), (66),
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            (170), (353) are inconsistent by sub-proof #1203.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |   (354)  all_56_11 = e0 & op(e1, e0) = e0
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (40), (41), (42),
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            (47), (63), (65), (66), (170), (276), (284),
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | |            (296), (354) are inconsistent by sub-proof #1191.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | |   (355)  all_56_13 = e2 & op(e0, e2) = e2
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | ALPHA: (355) implies:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | |   (356)  all_56_13 = e2
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (326), (356) are inconsistent by sub-proof
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | |            #1916.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | |   (357)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 196.97/33.88  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 196.97/33.88  | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 196.97/33.88  | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | Case 1:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | |   (358)  all_56_14 = e1 & op(e0, e1) = e1
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 196.97/33.88  | | | | | | | | | | | | | | | | | |   (359)  all_56_14 = e1
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (359) imply:
% 196.97/33.88  | | | | | | | | | | | | | | | | | |   (360)  e1 = e0
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (360) imply:
% 196.97/33.88  | | | | | | | | | | | | | | | | | |   (361)  all_56_5 = e0
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (40), (41), (42),
% 196.97/33.88  | | | | | | | | | | | | | | | | | |            (47), (63), (65), (66), (170), (276), (361) are
% 196.97/33.88  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1840.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | |   (362)  all_56_15 = e1 & op(e0, e0) = e1
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | ALPHA: (362) implies:
% 196.97/33.88  | | | | | | | | | | | | | | | | | |   (363)  op(e0, e0) = e1
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (61), (63), (363) are inconsistent by
% 196.97/33.88  | | | | | | | | | | | | | | | | | |            sub-proof #1392.
% 196.97/33.88  | | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | |   (364)  all_56_7 = e0 & op(e1, e2) = e0
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | ALPHA: (364) implies:
% 196.97/33.88  | | | | | | | | | | | |   (365)  all_56_7 = e0
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | REF_CLOSE: (1), (8), (11), (12), (14), (15), (17), (38),
% 196.97/33.88  | | | | | | | | | | | |            (39), (41), (42), (47), (57), (63), (65), (66),
% 196.97/33.88  | | | | | | | | | | | |            (170), (365) are inconsistent by sub-proof #1203.
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | |   (366)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 196.97/33.88  | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 196.97/33.88  | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | BETA: splitting (366) gives:
% 196.97/33.88  | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | Case 1:
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | |   (367)  all_56_8 = e0 & op(e1, e1) = e0
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | ALPHA: (367) implies:
% 196.97/33.88  | | | | | | | | | | | |   (368)  op(e1, e1) = e0
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | REF_CLOSE: (15), (64), (66), (368) are inconsistent by
% 196.97/33.88  | | | | | | | | | | | |            sub-proof #1824.
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | |   (369)  all_56_11 = e0 & op(e1, e0) = e0
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (15), (17), (40), (41), (42),
% 196.97/33.88  | | | | | | | | | | | |            (47), (63), (65), (66), (170), (276), (284),
% 196.97/33.88  | | | | | | | | | | | |            (296), (369) are inconsistent by sub-proof #1191.
% 196.97/33.88  | | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | Case 2:
% 196.97/33.88  | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | |   (370)  all_56_10 = e1 & op(e2, e0) = e1
% 196.97/33.88  | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | ALPHA: (370) implies:
% 196.97/33.88  | | | | | | | | | |   (371)  all_56_10 = e1
% 196.97/33.88  | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | | REF_CLOSE: (47), (276), (371) are inconsistent by sub-proof
% 196.97/33.88  | | | | | | | | | |            #1197.
% 196.97/33.88  | | | | | | | | | | 
% 196.97/33.88  | | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | | 
% 196.97/33.88  | | | | | | | | End of split
% 196.97/33.88  | | | | | | | | 
% 196.97/33.88  | | | | | | | End of split
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | Case 2:
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | |   (372)  all_56_15 = e1 & op(e0, e0) = e1
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | | ALPHA: (372) implies:
% 196.97/33.88  | | | | | | |   (373)  op(e0, e0) = e1
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | | REF_CLOSE: (15), (61), (63), (373) are inconsistent by sub-proof
% 196.97/33.88  | | | | | | |            #1392.
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | End of split
% 196.97/33.88  | | | | | | 
% 196.97/33.88  | | | | | End of split
% 196.97/33.88  | | | | | 
% 196.97/33.88  | | | | End of split
% 196.97/33.88  | | | | 
% 196.97/33.88  | | | End of split
% 196.97/33.88  | | | 
% 196.97/33.88  | | End of split
% 196.97/33.88  | | 
% 196.97/33.88  | Case 2:
% 196.97/33.88  | | 
% 196.97/33.88  | |   (374)  all_24_2 = e1
% 196.97/33.88  | | 
% 196.97/33.88  | | COMBINE_EQS: (43), (374) imply:
% 196.97/33.88  | |   (375)  all_4_2 = e1
% 196.97/33.88  | | 
% 196.97/33.88  | | REDUCE: (58), (375) imply:
% 196.97/33.88  | |   (376)   ~ (all_52_6 = e1)
% 196.97/33.88  | | 
% 196.97/33.88  | | REDUCE: (49), (375) imply:
% 196.97/33.88  | |   (377)   ~ (all_52_13 = e1)
% 196.97/33.88  | | 
% 196.97/33.88  | | REDUCE: (37), (375) imply:
% 196.97/33.88  | |   (378)   ~ (e3 = e1)
% 196.97/33.88  | | 
% 196.97/33.88  | | REDUCE: (16), (375) imply:
% 196.97/33.88  | |   (379)  op(e2, e2) = e1
% 196.97/33.88  | | 
% 196.97/33.88  | | BETA: splitting (18) gives:
% 196.97/33.88  | | 
% 196.97/33.88  | | Case 1:
% 196.97/33.88  | | | 
% 196.97/33.88  | | |   (380)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0)
% 196.97/33.88  | | |            = e1)
% 196.97/33.88  | | | 
% 196.97/33.88  | | | REF_CLOSE: (15), (26), (50), (52), (377), (380) are inconsistent by
% 196.97/33.88  | | |            sub-proof #1190.
% 196.97/33.88  | | | 
% 196.97/33.88  | | Case 2:
% 196.97/33.88  | | | 
% 196.97/33.88  | | |   (381)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0)
% 196.97/33.88  | | |            = e1)
% 196.97/33.88  | | | 
% 196.97/33.88  | | | BETA: splitting (381) gives:
% 196.97/33.88  | | | 
% 196.97/33.88  | | | Case 1:
% 196.97/33.88  | | | | 
% 196.97/33.88  | | | |   (382)  all_56_11 = e1 & op(e1, e0) = e1
% 196.97/33.88  | | | | 
% 196.97/33.88  | | | | ALPHA: (382) implies:
% 196.97/33.88  | | | |   (383)  op(e1, e0) = e1
% 196.97/33.88  | | | | 
% 196.97/33.88  | | | | BETA: splitting (29) gives:
% 196.97/33.88  | | | | 
% 196.97/33.88  | | | | Case 1:
% 196.97/33.88  | | | | | 
% 196.97/33.88  | | | | |   (384)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.97/33.88  | | | | |            (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 196.97/33.88  | | | | |            & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 196.97/33.88  | | | | |            $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 196.97/33.88  | | | | |            (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 196.97/33.88  | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 196.97/33.88  | | | | |            = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 196.97/33.88  | | | | |            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 196.97/33.88  | | | | |            op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 196.97/33.88  | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 196.97/33.88  | | | | |          (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 196.97/33.88  | | | | |            (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 196.97/33.88  | | | | |            & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.97/33.88  | | | | |            $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 196.97/33.88  | | | | |            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 196.97/33.88  | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4 &
% 196.97/33.88  | | | | |            op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 196.97/33.88  | | | | |            = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 196.97/33.88  | | | | |              = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0,
% 196.97/33.88  | | | | |              e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.97/33.88  | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.97/33.88  | | | | |            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.97/33.88  | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.97/33.88  | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 196.97/33.88  | | | | |            & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2)
% 196.97/33.88  | | | | |            & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 196.97/33.88  | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 196.97/33.88  | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 196.97/33.88  | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 196.97/33.88  | | | | |            & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 196.97/33.88  | | | | |            $i(all_57_10))
% 196.97/33.88  | | | | | 
% 196.97/33.88  | | | | | BETA: splitting (384) gives:
% 196.97/33.88  | | | | | 
% 196.97/33.88  | | | | | Case 1:
% 196.97/33.88  | | | | | | 
% 196.97/33.88  | | | | | |   (385)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.97/33.88  | | | | | |            (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.97/33.88  | | | | | |            all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.97/33.88  | | | | | |            $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 196.97/33.88  | | | | | |            all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3)
% 196.97/33.88  | | | | | |            & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 196.97/33.88  | | | | | |            all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.97/33.88  | | | | | |            $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3 &  ~
% 196.97/33.88  | | | | | |            (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 196.97/33.88  | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1)
% 196.97/33.88  | | | | | |            = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 =
% 196.97/33.88  | | | | | |            e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 196.97/33.88  | | | | | |              = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.88  | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 196.97/33.88  | | | | | |            $i(all_57_14))
% 196.97/33.88  | | | | | | 
% 196.97/33.88  | | | | | | BETA: splitting (385) gives:
% 196.97/33.88  | | | | | | 
% 196.97/33.88  | | | | | | Case 1:
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | |   (386)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 196.97/33.88  | | | | | | |            (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 196.97/33.88  | | | | | | |            all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.97/33.88  | | | | | | |            $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 196.97/33.88  | | | | | | |            all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 196.97/33.88  | | | | | | |              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 196.97/33.88  | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 196.97/33.88  | | | | | | |            & $i(all_57_12))
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | | REF_CLOSE: (14), (15), (56), (386) are inconsistent by sub-proof
% 196.97/33.88  | | | | | | |            #1442.
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | Case 2:
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | |   (387)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.97/33.88  | | | | | | |            (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 196.97/33.88  | | | | | | |            e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.88  | | | | | | |            $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 196.97/33.88  | | | | | | |            all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 196.97/33.88  | | | | | | |              e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.88  | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 196.97/33.88  | | | | | | |            & $i(all_57_14))
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | | REF_CLOSE: (3), (15), (51), (63), (379), (387) are inconsistent by
% 196.97/33.88  | | | | | | |            sub-proof #1678.
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | End of split
% 196.97/33.88  | | | | | | 
% 196.97/33.88  | | | | | Case 2:
% 196.97/33.88  | | | | | | 
% 196.97/33.88  | | | | | |   (388)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.97/33.88  | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 196.97/33.88  | | | | | |            e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.97/33.88  | | | | | |            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 196.97/33.88  | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2)
% 196.97/33.88  | | | | | |            & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 196.97/33.88  | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.97/33.88  | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 196.97/33.88  | | | | | |            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 196.97/33.88  | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 196.97/33.88  | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 =
% 196.97/33.88  | | | | | |            e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 196.97/33.88  | | | | | |              = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.88  | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 196.97/33.88  | | | | | |            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 196.97/33.88  | | | | | |            (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.97/33.88  | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 196.97/33.88  | | | | | |              e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.97/33.88  | | | | | | 
% 196.97/33.88  | | | | | | BETA: splitting (388) gives:
% 196.97/33.88  | | | | | | 
% 196.97/33.88  | | | | | | Case 1:
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | |   (389)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 196.97/33.88  | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2)
% 196.97/33.88  | | | | | | |            = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.97/33.88  | | | | | | |            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 196.97/33.88  | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 196.97/33.88  | | | | | | |              e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 196.97/33.88  | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 196.97/33.88  | | | | | | |            & $i(all_57_10))
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | | REF_CLOSE: (14), (15), (61), (64), (389) are inconsistent by
% 196.97/33.88  | | | | | | |            sub-proof #1222.
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | Case 2:
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | |   (390)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 196.97/33.88  | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 196.97/33.88  | | | | | | |            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.88  | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 196.97/33.88  | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 196.97/33.88  | | | | | | |              e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 196.97/33.88  | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 196.97/33.88  | | | | | | |            & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 196.97/33.88  | | | | | | |            (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 196.97/33.88  | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 196.97/33.88  | | | | | | |              e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | | REF_CLOSE: (7), (15), (17), (376), (390) are inconsistent by
% 196.97/33.88  | | | | | | |            sub-proof #1318.
% 196.97/33.88  | | | | | | | 
% 196.97/33.88  | | | | | | End of split
% 196.97/33.88  | | | | | | 
% 196.97/33.88  | | | | | End of split
% 196.97/33.88  | | | | | 
% 196.97/33.88  | | | | Case 2:
% 196.97/33.88  | | | | | 
% 196.97/33.89  | | | | |   (391)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.97/33.89  | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 196.97/33.89  | | | | |            & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 196.97/33.89  | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 196.97/33.89  | | | | |            (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 196.97/33.89  | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 196.97/33.89  | | | | |            = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 196.97/33.89  | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 196.97/33.89  | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 196.97/33.89  | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12))
% 196.97/33.89  | | | | |          | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.97/33.89  | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 196.97/33.89  | | | | |            & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10)
% 196.97/33.89  | | | | |            & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 196.97/33.89  | | | | |            (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 196.97/33.89  | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 196.97/33.89  | | | | |            = all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 =
% 196.97/33.89  | | | | |            e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 196.97/33.89  | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2,
% 196.97/33.89  | | | | |              e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 196.97/33.89  | | | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 196.97/33.89  | | | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 196.97/33.89  | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 196.97/33.89  | | | | |            = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 196.97/33.89  | | | | |            all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1)
% 196.97/33.89  | | | | |            & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) =
% 196.97/33.89  | | | | |            e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 196.97/33.89  | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 196.97/33.89  | | | | |            (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 196.97/33.89  | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 196.97/33.89  | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.97/33.89  | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 =
% 196.97/33.89  | | | | |                e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2,
% 196.97/33.89  | | | | |                  e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.89  | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.97/33.89  | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.97/33.89  | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.97/33.89  | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.97/33.89  | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 196.97/33.89  | | | | |                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.97/33.89  | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.97/33.89  | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.97/33.89  | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.97/33.89  | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.97/33.89  | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 196.97/33.89  | | | | |                & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.97/33.89  | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.97/33.89  | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 196.97/33.89  | | | | |                & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.97/33.89  | | | | |                $i(all_57_7))))
% 196.97/33.89  | | | | | 
% 196.97/33.89  | | | | | BETA: splitting (391) gives:
% 196.97/33.89  | | | | | 
% 196.97/33.89  | | | | | Case 1:
% 196.97/33.89  | | | | | | 
% 196.97/33.89  | | | | | |   (392)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 196.97/33.89  | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 196.97/33.89  | | | | | |            e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 196.97/33.89  | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 196.97/33.89  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1)
% 196.97/33.89  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 196.97/33.89  | | | | | |            all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 196.97/33.89  | | | | | |            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 196.97/33.89  | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 196.97/33.89  | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 196.97/33.89  | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 196.97/33.89  | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 196.97/33.89  | | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 196.97/33.89  | | | | | |            e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.97/33.89  | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 196.97/33.89  | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 196.97/33.89  | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 196.97/33.89  | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 196.97/33.89  | | | | | |            $i(all_57_13))
% 196.97/33.89  | | | | | | 
% 196.97/33.89  | | | | | | REF_CLOSE: (15), (34), (52), (61), (63), (379), (392) are
% 196.97/33.89  | | | | | |            inconsistent by sub-proof #1188.
% 196.97/33.89  | | | | | | 
% 196.97/33.89  | | | | | Case 2:
% 196.97/33.89  | | | | | | 
% 196.97/33.89  | | | | | |   (393)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 196.97/33.89  | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.97/33.89  | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.97/33.89  | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 196.97/33.89  | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 = e0)
% 196.97/33.89  | | | | | |            & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 196.97/33.89  | | | | | |            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 196.97/33.89  | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 196.97/33.89  | | | | | |            (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 196.97/33.89  | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 196.97/33.89  | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 196.97/33.89  | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 196.97/33.89  | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 196.97/33.89  | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.97/33.89  | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 196.97/33.89  | | | | | |            & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 196.97/33.89  | | | | | |                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.97/33.89  | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.89  | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 196.97/33.89  | | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.97/33.89  | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.97/33.89  | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 196.97/33.89  | | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 196.97/33.89  | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 196.97/33.89  | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 196.97/33.89  | | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.97/33.89  | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.97/33.89  | | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 196.97/33.89  | | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 196.97/33.89  | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.97/33.89  | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 196.97/33.89  | | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 196.97/33.89  | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.97/33.89  | | | | | |                $i(all_57_7))))
% 196.97/33.89  | | | | | | 
% 196.97/33.89  | | | | | | BETA: splitting (393) gives:
% 196.97/33.89  | | | | | | 
% 196.97/33.89  | | | | | | Case 1:
% 196.97/33.89  | | | | | | | 
% 196.97/33.89  | | | | | | |   (394)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) & 
% 196.97/33.89  | | | | | | |            ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 196.97/33.89  | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 196.97/33.89  | | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 196.97/33.89  | | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 196.97/33.89  | | | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 196.97/33.89  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 196.97/33.89  | | | | | | |            & $i(all_57_14))
% 196.97/33.89  | | | | | | | 
% 196.97/33.89  | | | | | | | REF_CLOSE: (15), (17), (41), (394) are inconsistent by sub-proof
% 196.97/33.89  | | | | | | |            #1936.
% 196.97/33.89  | | | | | | | 
% 196.97/33.89  | | | | | | Case 2:
% 196.97/33.89  | | | | | | | 
% 196.97/33.89  | | | | | | |   (395)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) & 
% 196.97/33.89  | | | | | | |            ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 196.97/33.89  | | | | | | |              e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.97/33.89  | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 196.97/33.89  | | | | | | |            all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 196.97/33.89  | | | | | | |              e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 196.97/33.89  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 196.97/33.89  | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.97/33.89  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 196.97/33.89  | | | | | | |                = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 196.97/33.89  | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 196.97/33.89  | | | | | | |                  e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 196.97/33.89  | | | | | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 196.97/33.89  | | | | | | |                  = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 196.97/33.89  | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 196.97/33.89  | | | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 196.97/33.89  | | | | | | |                  = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 196.97/33.89  | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 196.97/33.89  | | | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 196.97/33.89  | | | | | | |                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 196.97/33.89  | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.97/33.89  | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 196.97/33.89  | | | | | | |                  = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 196.97/33.89  | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 196.97/33.89  | | | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 196.97/33.89  | | | | | | |                  = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 196.97/33.89  | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 196.97/33.89  | | | | | | | 
% 196.97/33.89  | | | | | | | BETA: splitting (395) gives:
% 196.97/33.89  | | | | | | | 
% 196.97/33.89  | | | | | | | Case 1:
% 196.97/33.89  | | | | | | | | 
% 196.97/33.89  | | | | | | | |   (396)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &
% 196.97/33.89  | | | | | | | |           ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 196.97/33.89  | | | | | | | |            e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 196.97/33.89  | | | | | | | |          $i(all_57_12) & $i(all_57_13)
% 196.97/33.89  | | | | | | | | 
% 196.97/33.89  | | | | | | | | ALPHA: (396) implies:
% 196.97/33.89  | | | | | | | |   (397)   ~ (all_57_13 = e1)
% 196.97/33.89  | | | | | | | |   (398)  op(e1, e0) = all_57_13
% 196.97/33.89  | | | | | | | | 
% 196.97/33.89  | | | | | | | | REF_CLOSE: (15), (383), (397), (398) are inconsistent by
% 196.97/33.89  | | | | | | | |            sub-proof #1437.
% 196.97/33.89  | | | | | | | | 
% 196.97/33.89  | | | | | | | Case 2:
% 196.97/33.89  | | | | | | | | 
% 196.97/33.89  | | | | | | | |   (399)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 196.97/33.89  | | | | | | | |            &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.97/33.89  | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.97/33.89  | | | | | | | |            e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 196.97/33.89  | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 196.97/33.89  | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.97/33.89  | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.97/33.89  | | | | | | | |                  e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.97/33.89  | | | | | | | |              (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.97/33.89  | | | | | | | |                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.97/33.89  | | | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.97/33.89  | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 196.97/33.89  | | | | | | | |                 ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.97/33.89  | | | | | | | |                  e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 196.97/33.89  | | | | | | | |                e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.97/33.89  | | | | | | | |                e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.97/33.89  | | | | | | | |                op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 196.97/33.89  | | | | | | | |                  e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.97/33.89  | | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.97/33.89  | | | | | | | |                (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.97/33.89  | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.97/33.89  | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.97/33.89  | | | | | | | |                  e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.97/33.89  | | | | | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.97/33.89  | | | | | | | |                $i(all_57_7))))
% 196.97/33.89  | | | | | | | | 
% 196.97/33.89  | | | | | | | | BETA: splitting (399) gives:
% 196.97/33.89  | | | | | | | | 
% 196.97/33.89  | | | | | | | | Case 1:
% 196.97/33.89  | | | | | | | | | 
% 196.97/33.89  | | | | | | | | |   (400)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 196.97/33.89  | | | | | | | | |          &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 196.97/33.89  | | | | | | | | |          = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 196.97/33.89  | | | | | | | | |          e1 & $i(all_57_11) & $i(all_57_14)
% 196.97/33.89  | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | ALPHA: (400) implies:
% 196.97/33.89  | | | | | | | | |   (401)  op(e2, e2) = e0
% 196.97/33.89  | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | REF_CLOSE: (15), (41), (379), (401) are inconsistent by
% 196.97/33.89  | | | | | | | | |            sub-proof #1909.
% 196.97/33.89  | | | | | | | | | 
% 196.97/33.89  | | | | | | | | Case 2:
% 196.97/33.89  | | | | | | | | | 
% 196.97/33.89  | | | | | | | | |   (402)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 196.97/33.89  | | | | | | | | |              e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 196.97/33.89  | | | | | | | | |              (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 196.97/33.89  | | | | | | | | |                e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.97/33.89  | | | | | | | | |            (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 196.97/33.89  | | | | | | | | |                e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 196.97/33.89  | | | | | | | | |              all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 196.97/33.89  | | | | | | | | |              $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &
% 196.97/33.89  | | | | | | | | |               ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 196.97/33.89  | | | | | | | | |                e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 196.97/33.89  | | | | | | | | |              e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 196.97/33.89  | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 196.97/33.89  | | | | | | | | |              op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0,
% 196.97/33.89  | | | | | | | | |                e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 196.97/33.89  | | | | | | | | |              all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 196.97/33.89  | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 196.97/33.89  | | | | | | | | |              all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 196.97/33.89  | | | | | | | | |            (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.97/33.89  | | | | | | | | |                e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.97/33.89  | | | | | | | | |              op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.97/33.89  | | | | | | | | |              $i(all_57_7)))
% 196.97/33.89  | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | ALPHA: (402) implies:
% 196.97/33.89  | | | | | | | | |   (403)  op(e0, e0) = all_57_15
% 196.97/33.89  | | | | | | | | |   (404)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2)
% 196.97/33.89  | | | | | | | | |            &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 196.97/33.89  | | | | | | | | |            op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 196.97/33.89  | | | | | | | | |          (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1)
% 196.97/33.89  | | | | | | | | |            &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 196.97/33.89  | | | | | | | | |            op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 196.97/33.89  | | | | | | | | |          (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3)
% 196.97/33.89  | | | | | | | | |            &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 196.97/33.89  | | | | | | | | |              e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 196.97/33.89  | | | | | | | | |          | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.97/33.89  | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 196.97/33.89  | | | | | | | | |            & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4))
% 196.97/33.89  | | | | | | | | |          | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.97/33.89  | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.97/33.89  | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.97/33.89  | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 & 
% 196.97/33.89  | | | | | | | | |            ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 196.97/33.89  | | | | | | | | |              e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 196.97/33.89  | | | | | | | | |            e0 & $i(all_57_7))
% 196.97/33.89  | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | BETA: splitting (404) gives:
% 196.97/33.89  | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | Case 1:
% 196.97/33.89  | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | |   (405)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 196.97/33.89  | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 196.97/33.89  | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 196.97/33.89  | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &
% 196.97/33.89  | | | | | | | | | |             ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1,
% 196.97/33.89  | | | | | | | | | |              e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 196.97/33.89  | | | | | | | | | |            e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 196.97/33.89  | | | | | | | | | |            e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 196.97/33.89  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 196.97/33.89  | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 196.97/33.89  | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | REF_CLOSE: (15), (38), (61), (63), (379), (403), (405) are
% 196.97/33.89  | | | | | | | | | |            inconsistent by sub-proof #1186.
% 196.97/33.89  | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | Case 2:
% 196.97/33.89  | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | |   (406)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.97/33.89  | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.97/33.89  | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.97/33.89  | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &
% 196.97/33.89  | | | | | | | | | |             ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3,
% 196.97/33.89  | | | | | | | | | |              e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 196.97/33.89  | | | | | | | | | |            e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 196.97/33.89  | | | | | | | | | |            e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.97/33.89  | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.97/33.89  | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.97/33.89  | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | BETA: splitting (406) gives:
% 196.97/33.89  | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | Case 1:
% 196.97/33.89  | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | |   (407)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 196.97/33.89  | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 196.97/33.89  | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 196.97/33.89  | | | | | | | | | | |          $i(all_57_4)
% 196.97/33.89  | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | ALPHA: (407) implies:
% 196.97/33.89  | | | | | | | | | | |   (408)  op(e1, e1) = e2
% 196.97/33.89  | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | REF_CLOSE: (14), (15), (64), (408) are inconsistent by
% 196.97/33.89  | | | | | | | | | | |            sub-proof #1777.
% 196.97/33.89  | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | Case 2:
% 196.97/33.89  | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | |   (409)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.97/33.89  | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.97/33.89  | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.97/33.89  | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 196.97/33.89  | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 196.97/33.89  | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 196.97/33.89  | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 196.97/33.89  | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | BETA: splitting (409) gives:
% 196.97/33.89  | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | Case 1:
% 196.97/33.89  | | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | |   (410)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 196.97/33.89  | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 196.97/33.89  | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 196.97/33.89  | | | | | | | | | | | |          $i(all_57_6)
% 196.97/33.89  | | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | | ALPHA: (410) implies:
% 196.97/33.89  | | | | | | | | | | | |   (411)  all_57_8 = e0
% 196.97/33.89  | | | | | | | | | | | |   (412)  op(e0, e1) = e0
% 196.97/33.89  | | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (12), (13), (14), (15), (17), (24),
% 196.97/33.89  | | | | | | | | | | | |            (33), (38), (39), (41), (47), (51), (61), (63),
% 196.97/33.89  | | | | | | | | | | | |            (64), (65), (66), (69), (379), (383), (411), (412)
% 196.97/33.89  | | | | | | | | | | | |            are inconsistent by sub-proof #1183.
% 196.97/33.89  | | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | Case 2:
% 196.97/33.89  | | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | |   (413)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 196.97/33.89  | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 196.97/33.89  | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 196.97/33.89  | | | | | | | | | | | |          $i(all_57_7)
% 196.97/33.89  | | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | | ALPHA: (413) implies:
% 196.97/33.89  | | | | | | | | | | | |   (414)  all_57_8 = e0
% 196.97/33.89  | | | | | | | | | | | |   (415)  op(e0, e1) = e0
% 196.97/33.89  | | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (12), (13), (14), (15), (17), (24),
% 196.97/33.89  | | | | | | | | | | | |            (33), (38), (39), (41), (47), (51), (61), (63),
% 196.97/33.89  | | | | | | | | | | | |            (64), (65), (66), (69), (379), (383), (414), (415)
% 196.97/33.89  | | | | | | | | | | | |            are inconsistent by sub-proof #1183.
% 196.97/33.89  | | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | | End of split
% 196.97/33.89  | | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | | End of split
% 196.97/33.89  | | | | | | | | | | 
% 196.97/33.89  | | | | | | | | | End of split
% 196.97/33.89  | | | | | | | | | 
% 196.97/33.89  | | | | | | | | End of split
% 196.97/33.89  | | | | | | | | 
% 196.97/33.89  | | | | | | | End of split
% 196.97/33.89  | | | | | | | 
% 196.97/33.89  | | | | | | End of split
% 196.97/33.89  | | | | | | 
% 196.97/33.89  | | | | | End of split
% 196.97/33.89  | | | | | 
% 196.97/33.89  | | | | End of split
% 196.97/33.89  | | | | 
% 196.97/33.89  | | | Case 2:
% 196.97/33.89  | | | | 
% 196.97/33.89  | | | |   (416)  all_56_15 = e1 & op(e0, e0) = e1
% 196.97/33.89  | | | | 
% 196.97/33.89  | | | | ALPHA: (416) implies:
% 196.97/33.89  | | | |   (417)  op(e0, e0) = e1
% 196.97/33.89  | | | | 
% 196.97/33.89  | | | | REF_CLOSE: (15), (61), (63), (417) are inconsistent by sub-proof #1392.
% 196.97/33.89  | | | | 
% 196.97/33.89  | | | End of split
% 196.97/33.89  | | | 
% 196.97/33.89  | | End of split
% 196.97/33.89  | | 
% 196.97/33.89  | End of split
% 196.97/33.89  | 
% 196.97/33.89  End of proof
% 196.97/33.89  
% 196.97/33.89  Sub-proof #1183 shows that the following formulas are inconsistent:
% 196.97/33.89  ----------------------------------------------------------------
% 196.97/33.89    (1)  op(e1, e3) = all_52_2
% 196.97/33.89    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 196.97/33.89           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 196.97/33.89           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 196.97/33.89                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 196.97/33.89               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 196.97/33.89               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 196.97/33.89           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 196.97/33.89           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 196.97/33.89               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 196.97/33.89           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 196.97/33.89               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 196.97/33.89           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 196.97/33.89           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 196.97/33.89               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 196.97/33.89               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.97/33.89               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.89         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 196.97/33.89           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 196.97/33.89           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 196.97/33.89               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.97/33.89             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.89         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 196.97/33.89           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 196.97/33.89           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 196.97/33.89                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 196.97/33.89               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 196.97/33.89               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 196.97/33.89           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 196.97/33.89           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.97/33.89             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.89           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.97/33.89               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 196.97/33.89           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 196.97/33.89           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 196.97/33.89               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 196.97/33.89               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 196.97/33.89               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.89         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 196.97/33.89           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 196.97/33.89           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 196.97/33.89               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.89             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.89         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 196.97/33.89           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 196.97/33.89           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 196.97/33.89                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 196.97/33.89               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 196.97/33.89               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 196.97/33.89           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 196.97/33.89             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 196.97/33.89               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.89           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.97/33.89               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 196.97/33.89           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 196.97/33.89           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 196.97/33.89               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 196.97/33.89               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 196.97/33.89               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 196.97/33.89         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 196.97/33.89           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 196.97/33.89           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 196.97/33.89               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 196.97/33.89             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 196.97/33.89         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 196.97/33.89             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 196.97/33.89           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 196.97/33.89               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 196.97/33.89             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 196.97/33.89         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 196.97/33.89             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 196.97/33.89           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 196.97/33.89               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 196.97/33.89             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 196.97/33.89         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 196.97/33.89             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 196.97/33.89           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 196.97/33.89               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 196.97/33.89             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 196.97/33.89         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 196.97/33.89             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 196.97/33.89           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 196.97/33.89               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 196.97/33.89             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 196.97/33.89    (3)  all_57_8 = e0
% 196.97/33.89    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 196.97/33.89         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 196.97/33.89    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 196.97/33.89         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 196.97/33.89    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 196.97/33.89         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 196.97/33.89    (7)   ~ (e3 = e2)
% 196.97/33.89    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 196.97/33.89           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 196.97/33.89    (9)  op(e2, e2) = e1
% 196.97/33.89    (10)  op(e3, e3) = e1
% 196.97/33.89    (11)  op(e0, e3) = all_52_3
% 196.97/33.89    (12)  op(e0, e1) = e0
% 196.97/33.89    (13)  op(e0, e1) = all_52_11
% 196.97/33.89    (14)  op(e3, e2) = e3
% 196.97/33.89    (15)  all_56_2 = e3
% 196.97/33.89    (16)   ~ (e1 = e0)
% 196.97/33.89    (17)   ~ (e2 = e1)
% 196.97/33.89    (18)  op(e1, e0) = e1
% 196.97/33.89    (19)   ~ (all_52_2 = e1)
% 196.97/33.89    (20)  op(e0, e0) = e3
% 196.97/33.89    (21)   ~ (e3 = e1)
% 196.97/33.89    (22)  op(e1, e1) = e3
% 196.97/33.89    (23)   ~ (e2 = e0)
% 196.97/33.89    (24)   ~ (e3 = e0)
% 196.97/33.89    (25)   ~ (all_52_3 = all_52_11)
% 196.97/33.89  
% 196.97/33.89  Begin of proof
% 196.97/33.89  | 
% 196.97/33.89  | BETA: splitting (2) gives:
% 196.97/33.89  | 
% 196.97/33.89  | Case 1:
% 196.97/33.89  | | 
% 197.06/33.89  | |   (26)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.06/33.89  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.06/33.89  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.06/33.89  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.06/33.89  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.06/33.89  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 197.06/33.89  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.06/33.89  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 197.06/33.89  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.06/33.89  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 197.06/33.89  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 197.06/33.89  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 197.06/33.89  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 197.06/33.89  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.06/33.89  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.06/33.89  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.89  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.89  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 197.06/33.89  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.06/33.89  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.06/33.89  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.89  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.06/33.89  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 197.06/33.89  | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0,
% 197.06/33.89  | |             e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_12
% 197.06/33.89  | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.06/33.89  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 197.06/33.89  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.06/33.89  | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15
% 197.06/33.89  | |           = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0
% 197.06/33.89  | |           & op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2)
% 197.06/33.89  | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.06/33.89  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.06/33.89  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.06/33.89  | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.06/33.89  | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.06/33.89  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.06/33.89  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.06/33.89  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.06/33.89  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 197.06/33.89  | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.06/33.89  | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10 =
% 197.06/33.89  | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.06/33.89  | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 197.06/33.89  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.06/33.89  | |               $i(all_57_5))))
% 197.06/33.89  | | 
% 197.06/33.89  | | BETA: splitting (26) gives:
% 197.06/33.89  | | 
% 197.06/33.89  | | Case 1:
% 197.06/33.89  | | | 
% 197.06/33.89  | | |   (27)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 197.06/33.89  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.06/33.89  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.06/33.89  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.06/33.89  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.06/33.89  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 197.06/33.89  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 197.06/33.89  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 197.06/33.89  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.06/33.89  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 197.06/33.89  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.06/33.89  | | |               all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3
% 197.06/33.89  | | |           & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1,
% 197.06/33.89  | | |             e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.06/33.89  | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.06/33.89  | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.06/33.89  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.06/33.89  | | |               all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1
% 197.06/33.89  | | |           & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.06/33.89  | | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12
% 197.06/33.89  | | |               = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.06/33.89  | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 197.06/33.89  | | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 197.06/33.89  | | |               $i(all_57_2))))
% 197.06/33.89  | | | 
% 197.06/33.89  | | | BETA: splitting (27) gives:
% 197.06/33.89  | | | 
% 197.06/33.89  | | | Case 1:
% 197.06/33.89  | | | | 
% 197.06/33.90  | | | |   (28)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 197.06/33.90  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 197.06/33.90  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 197.06/33.90  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.06/33.90  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 197.06/33.90  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.06/33.90  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 197.06/33.90  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 197.06/33.90  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.06/33.90  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.06/33.90  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.06/33.90  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | | REF_CLOSE: (8), (9), (10), (17), (21), (28) are inconsistent by
% 197.06/33.90  | | | |            sub-proof #1185.
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | Case 2:
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | |   (29)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 197.06/33.90  | | | |           e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 197.06/33.90  | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 197.06/33.90  | | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.06/33.90  | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.90  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 197.06/33.90  | | | |         | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 197.06/33.90  | | | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 197.06/33.90  | | | |           e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.06/33.90  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.90  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.06/33.90  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | | BETA: splitting (29) gives:
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | | Case 1:
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | |   (30)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 197.06/33.90  | | | | |         e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 197.06/33.90  | | | | |         all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) =
% 197.06/33.90  | | | | |             e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.06/33.90  | | | | |             $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.90  | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | | ALPHA: (30) implies:
% 197.06/33.90  | | | | |   (31)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 197.06/33.90  | | | | |           op(e0, e1) = all_57_8 & $i(all_57_8))
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | | REF_CLOSE: (3), (8), (20), (21), (31) are inconsistent by sub-proof
% 197.06/33.90  | | | | |            #1184.
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | Case 2:
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | |   (32)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 197.06/33.90  | | | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) =
% 197.06/33.90  | | | | |         e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.06/33.90  | | | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.90  | | | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.06/33.90  | | | | |             op(e0, e3) = all_57_2 & $i(all_57_2)))
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | | ALPHA: (32) implies:
% 197.06/33.90  | | | | |   (33)  op(e1, e3) = e1
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | | REF_CLOSE: (1), (8), (19), (33) are inconsistent by sub-proof #1974.
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | End of split
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | End of split
% 197.06/33.90  | | | 
% 197.06/33.90  | | Case 2:
% 197.06/33.90  | | | 
% 197.06/33.90  | | |   (34)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 197.06/33.90  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.06/33.90  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.06/33.90  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 197.06/33.90  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 197.06/33.90  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 197.06/33.90  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 197.06/33.90  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 197.06/33.90  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.06/33.90  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 197.06/33.90  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.06/33.90  | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2
% 197.06/33.90  | | |           & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1,
% 197.06/33.90  | | |             e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.06/33.90  | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 197.06/33.90  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 197.06/33.90  | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.06/33.90  | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1
% 197.06/33.90  | | |           & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.06/33.90  | | |           op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_10
% 197.06/33.90  | | |               = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.06/33.90  | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) =
% 197.06/33.90  | | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.06/33.90  | | |               $i(all_57_5))))
% 197.06/33.90  | | | 
% 197.06/33.90  | | | BETA: splitting (34) gives:
% 197.06/33.90  | | | 
% 197.06/33.90  | | | Case 1:
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | |   (35)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 197.06/33.90  | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 197.06/33.90  | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 197.06/33.90  | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.06/33.90  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 197.06/33.90  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.06/33.90  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 197.06/33.90  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.06/33.90  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 197.06/33.90  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.06/33.90  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.06/33.90  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.06/33.90  | | | |               all_57_1 & $i(all_57_1))))
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | | REF_CLOSE: (8), (10), (11), (12), (13), (16), (25), (35) are
% 197.06/33.90  | | | |            inconsistent by sub-proof #1195.
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | Case 2:
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | |   (36)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 197.06/33.90  | | | |           e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 197.06/33.90  | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.06/33.90  | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.06/33.90  | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.90  | | | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 197.06/33.90  | | | |         | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.06/33.90  | | | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 197.06/33.90  | | | |           e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.06/33.90  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.90  | | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.06/33.90  | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | | BETA: splitting (36) gives:
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | | Case 1:
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | |   (37)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 197.06/33.90  | | | | |         e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 197.06/33.90  | | | | |         all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.06/33.90  | | | | |             e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.06/33.90  | | | | |             $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.90  | | | | |             (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | | ALPHA: (37) implies:
% 197.06/33.90  | | | | |   (38)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 197.06/33.90  | | | | |           op(e0, e1) = all_57_8 & $i(all_57_8))
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | | REF_CLOSE: (3), (8), (20), (21), (38) are inconsistent by sub-proof
% 197.06/33.90  | | | | |            #1184.
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | Case 2:
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | |   (39)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.06/33.90  | | | | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) =
% 197.06/33.90  | | | | |         e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.06/33.90  | | | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.90  | | | | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.06/33.90  | | | | |             op(e0, e2) = all_57_5 & $i(all_57_5)))
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | | ALPHA: (39) implies:
% 197.06/33.90  | | | | |   (40)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.06/33.90  | | | | |           op(e3, e2) = all_57_3 & $i(all_57_3))
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | | REF_CLOSE: (8), (10), (14), (17), (40) are inconsistent by sub-proof
% 197.06/33.90  | | | | |            #1888.
% 197.06/33.90  | | | | | 
% 197.06/33.90  | | | | End of split
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | End of split
% 197.06/33.90  | | | 
% 197.06/33.90  | | End of split
% 197.06/33.90  | | 
% 197.06/33.90  | Case 2:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (41)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.06/33.90  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.06/33.90  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.06/33.90  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.06/33.90  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 197.06/33.90  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 197.06/33.90  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 197.06/33.90  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 197.06/33.90  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 197.06/33.90  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 197.06/33.90  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.06/33.90  | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 & all_57_14
% 197.06/33.90  | |           = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.06/33.90  | |           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3,
% 197.06/33.90  | |                 e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.06/33.90  | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.06/33.90  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.06/33.90  | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 197.06/33.90  | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.06/33.90  | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.06/33.90  | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.06/33.90  | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 197.06/33.90  | |                 e1) = all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3,
% 197.06/33.90  | |             e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.06/33.90  | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 197.06/33.90  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.06/33.90  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 197.06/33.90  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 197.06/33.90  | |               $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2) = e2 &
% 197.06/33.90  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 197.06/33.90  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 197.06/33.90  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.06/33.90  | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 197.06/33.90  | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.06/33.90  | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 197.06/33.90  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.06/33.90  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.06/33.90  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.06/33.90  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.06/33.90  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 197.06/33.90  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.06/33.90  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 197.06/33.90  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.06/33.90  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 197.06/33.90  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.06/33.90  | |               $i(all_57_13))))
% 197.06/33.90  | | 
% 197.06/33.90  | | BETA: splitting (41) gives:
% 197.06/33.90  | | 
% 197.06/33.90  | | Case 1:
% 197.06/33.90  | | | 
% 197.06/33.90  | | |   (42)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 197.06/33.90  | | |           & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.06/33.90  | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.06/33.90  | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.06/33.90  | | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 197.06/33.90  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 197.06/33.90  | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 197.06/33.90  | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.06/33.90  | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.06/33.90  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.90  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.06/33.90  | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 197.06/33.90  | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) =
% 197.06/33.90  | | |           e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.06/33.90  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 197.06/33.90  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 197.06/33.90  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.06/33.90  | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 =
% 197.06/33.90  | | |           e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.06/33.90  | | |           op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) & ((all_57_10
% 197.06/33.90  | | |               = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.06/33.90  | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) =
% 197.06/33.90  | | |               e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.06/33.90  | | |               $i(all_57_7))))
% 197.06/33.90  | | | 
% 197.06/33.90  | | | REF_CLOSE: (8), (10), (14), (17), (18), (20), (21), (22), (24), (42) are
% 197.06/33.90  | | |            inconsistent by sub-proof #1194.
% 197.06/33.90  | | | 
% 197.06/33.90  | | Case 2:
% 197.06/33.90  | | | 
% 197.06/33.90  | | |   (43)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2)
% 197.06/33.90  | | |               = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.06/33.90  | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.06/33.90  | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.06/33.90  | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.06/33.90  | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 197.06/33.90  | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.06/33.90  | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.90  | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.06/33.90  | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.06/33.90  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.06/33.90  | | |               all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) =
% 197.06/33.90  | | |           e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 197.06/33.90  | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 197.06/33.90  | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 197.06/33.90  | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) =
% 197.06/33.90  | | |               e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.06/33.90  | | |               $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0) = e0 &
% 197.06/33.90  | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 197.06/33.90  | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 197.06/33.90  | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.06/33.90  | | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1)
% 197.06/33.90  | | |               = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.06/33.90  | | |               $i(all_57_13))))
% 197.06/33.90  | | | 
% 197.06/33.90  | | | BETA: splitting (43) gives:
% 197.06/33.90  | | | 
% 197.06/33.90  | | | Case 1:
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | |   (44)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 197.06/33.90  | | | |                 e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0
% 197.06/33.90  | | | |               & $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 197.06/33.90  | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)))
% 197.06/33.90  | | | |           & ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.06/33.90  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2
% 197.06/33.90  | | | |           & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.06/33.90  | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.90  | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.06/33.90  | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 197.06/33.90  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.06/33.90  | | | |               all_57_5 & $i(all_57_5))))
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (10), (14), (15), (16), (17),
% 197.06/33.90  | | | |            (19), (21), (23), (24), (44) are inconsistent by sub-proof
% 197.06/33.90  | | | |            #1215.
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | Case 2:
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | |   (45)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3,
% 197.06/33.90  | | | |                 e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6
% 197.06/33.90  | | | |               & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 197.06/33.90  | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 197.06/33.90  | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 197.06/33.90  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0
% 197.06/33.90  | | | |           & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.06/33.90  | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.06/33.90  | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 197.06/33.90  | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 197.06/33.90  | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 197.06/33.90  | | | |               = all_57_13 & $i(all_57_13))))
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | | REF_CLOSE: (8), (18), (21), (22), (24), (45) are inconsistent by
% 197.06/33.90  | | | |            sub-proof #1254.
% 197.06/33.90  | | | | 
% 197.06/33.90  | | | End of split
% 197.06/33.90  | | | 
% 197.06/33.90  | | End of split
% 197.06/33.90  | | 
% 197.06/33.90  | End of split
% 197.06/33.90  | 
% 197.06/33.90  End of proof
% 197.06/33.90  
% 197.06/33.90  Sub-proof #1184 shows that the following formulas are inconsistent:
% 197.06/33.90  ----------------------------------------------------------------
% 197.06/33.90    (1)  all_57_8 = e0
% 197.06/33.90    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.90           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.90    (3)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.06/33.90           all_57_8 & $i(all_57_8))
% 197.06/33.90    (4)  op(e0, e0) = e3
% 197.06/33.90    (5)   ~ (e3 = e1)
% 197.06/33.90  
% 197.06/33.90  Begin of proof
% 197.06/33.90  | 
% 197.06/33.90  | BETA: splitting (3) gives:
% 197.06/33.90  | 
% 197.06/33.90  | Case 1:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (6)  all_57_15 = e1 & op(e0, e0) = e1
% 197.06/33.90  | | 
% 197.06/33.90  | | ALPHA: (6) implies:
% 197.06/33.90  | |   (7)  op(e0, e0) = e1
% 197.06/33.90  | | 
% 197.06/33.90  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1392.
% 197.06/33.90  | | 
% 197.06/33.90  | Case 2:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (8)   ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)
% 197.06/33.90  | | 
% 197.06/33.90  | | ALPHA: (8) implies:
% 197.06/33.90  | |   (9)   ~ (all_57_8 = e0)
% 197.06/33.90  | | 
% 197.06/33.90  | | REDUCE: (1), (9) imply:
% 197.06/33.90  | |   (10)  $false
% 197.06/33.90  | | 
% 197.06/33.90  | | CLOSE: (10) is inconsistent.
% 197.06/33.90  | | 
% 197.06/33.90  | End of split
% 197.06/33.90  | 
% 197.06/33.90  End of proof
% 197.06/33.90  
% 197.06/33.90  Sub-proof #1185 shows that the following formulas are inconsistent:
% 197.06/33.90  ----------------------------------------------------------------
% 197.06/33.90    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.90           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.90    (2)  op(e2, e2) = e1
% 197.06/33.90    (3)  op(e3, e3) = e1
% 197.06/33.90    (4)   ~ (e2 = e1)
% 197.06/33.90    (5)   ~ (e3 = e1)
% 197.06/33.90    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.06/33.90           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.06/33.90           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.06/33.90                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.06/33.90               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.06/33.90               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.06/33.90           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.06/33.90           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.06/33.90               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.06/33.90           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.06/33.90               = all_57_2 & $i(all_57_2))))
% 197.06/33.90  
% 197.06/33.90  Begin of proof
% 197.06/33.90  | 
% 197.06/33.90  | BETA: splitting (6) gives:
% 197.06/33.90  | 
% 197.06/33.90  | Case 1:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.06/33.90  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.06/33.90  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.06/33.90  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 197.06/33.90  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.06/33.90  | |            & $i(all_57_5)))
% 197.06/33.90  | | 
% 197.06/33.90  | | ALPHA: (7) implies:
% 197.06/33.90  | |   (8)  op(e3, e3) = e2
% 197.06/33.90  | | 
% 197.06/33.90  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1934.
% 197.06/33.90  | | 
% 197.06/33.90  | Case 2:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 197.06/33.90  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.06/33.90  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 197.06/33.90  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.06/33.90  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 197.06/33.90  | |            & $i(all_57_2)))
% 197.06/33.90  | | 
% 197.06/33.90  | | ALPHA: (9) implies:
% 197.06/33.90  | |   (10)  op(e2, e2) = e3
% 197.06/33.90  | | 
% 197.06/33.90  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1679.
% 197.06/33.90  | | 
% 197.06/33.90  | End of split
% 197.06/33.90  | 
% 197.06/33.90  End of proof
% 197.06/33.90  
% 197.06/33.90  Sub-proof #1186 shows that the following formulas are inconsistent:
% 197.06/33.90  ----------------------------------------------------------------
% 197.06/33.90    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.90           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.90    (2)  op(e2, e2) = e1
% 197.06/33.90    (3)  op(e0, e0) = all_57_15
% 197.06/33.90    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.06/33.90             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.06/33.90           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.06/33.90           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.06/33.90             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.06/33.90           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.06/33.90           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.06/33.90    (5)  op(e3, e2) = e3
% 197.06/33.90    (6)  op(e0, e0) = e3
% 197.06/33.90    (7)   ~ (e3 = e1)
% 197.06/33.90  
% 197.06/33.90  Begin of proof
% 197.06/33.90  | 
% 197.06/33.90  | BETA: splitting (4) gives:
% 197.06/33.90  | 
% 197.06/33.90  | Case 1:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (8)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.06/33.90  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.06/33.90  | |        $i(all_57_0)
% 197.06/33.90  | | 
% 197.06/33.90  | | ALPHA: (8) implies:
% 197.06/33.90  | |   (9)  op(e2, e2) = e3
% 197.06/33.90  | | 
% 197.06/33.90  | | REF_CLOSE: (1), (2), (7), (9) are inconsistent by sub-proof #1679.
% 197.06/33.90  | | 
% 197.06/33.90  | Case 2:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (10)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 197.06/33.90  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 197.06/33.90  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.06/33.90  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 197.06/33.90  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.06/33.90  | | 
% 197.06/33.90  | | REF_CLOSE: (1), (3), (5), (6), (10) are inconsistent by sub-proof #1187.
% 197.06/33.90  | | 
% 197.06/33.90  | End of split
% 197.06/33.90  | 
% 197.06/33.90  End of proof
% 197.06/33.90  
% 197.06/33.90  Sub-proof #1187 shows that the following formulas are inconsistent:
% 197.06/33.90  ----------------------------------------------------------------
% 197.06/33.90    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.90           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.90    (2)  op(e0, e0) = all_57_15
% 197.06/33.90    (3)  op(e3, e2) = e3
% 197.06/33.90    (4)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.06/33.90             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.06/33.90           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.06/33.90           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 197.06/33.90             e2) = e0 & $i(all_57_3))
% 197.06/33.90    (5)  op(e0, e0) = e3
% 197.06/33.90  
% 197.06/33.90  Begin of proof
% 197.06/33.90  | 
% 197.06/33.90  | BETA: splitting (4) gives:
% 197.06/33.90  | 
% 197.06/33.90  | Case 1:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (6)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.06/33.90  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.06/33.90  | |        $i(all_57_1)
% 197.06/33.90  | | 
% 197.06/33.90  | | ALPHA: (6) implies:
% 197.06/33.90  | |   (7)   ~ (all_57_15 = e3)
% 197.06/33.90  | | 
% 197.06/33.90  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1276.
% 197.06/33.90  | | 
% 197.06/33.90  | Case 2:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (8)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.06/33.90  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.06/33.90  | |        $i(all_57_3)
% 197.06/33.90  | | 
% 197.06/33.90  | | ALPHA: (8) implies:
% 197.06/33.90  | |   (9)   ~ (all_57_3 = e3)
% 197.06/33.90  | |   (10)  op(e3, e2) = all_57_3
% 197.06/33.90  | | 
% 197.06/33.90  | | REF_CLOSE: (1), (3), (9), (10) are inconsistent by sub-proof #1889.
% 197.06/33.90  | | 
% 197.06/33.90  | End of split
% 197.06/33.90  | 
% 197.06/33.90  End of proof
% 197.06/33.90  
% 197.06/33.90  Sub-proof #1188 shows that the following formulas are inconsistent:
% 197.06/33.90  ----------------------------------------------------------------
% 197.06/33.90    (1)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.06/33.90             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.06/33.90           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 197.06/33.90           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.06/33.90           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.06/33.90           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.06/33.90           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 197.06/33.90           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 197.06/33.90           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 197.06/33.90           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 197.06/33.90           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.06/33.90           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.06/33.90           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 197.06/33.90           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.06/33.90           $i(all_57_10) & $i(all_57_13))
% 197.06/33.90    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.90           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.90    (3)  op(e2, e2) = e1
% 197.06/33.90    (4)   ~ (all_52_12 = e3)
% 197.06/33.90    (5)  op(e3, e0) = all_52_12
% 197.06/33.90    (6)  op(e0, e0) = e3
% 197.06/33.90    (7)   ~ (e3 = e1)
% 197.06/33.90  
% 197.06/33.90  Begin of proof
% 197.06/33.90  | 
% 197.06/33.90  | BETA: splitting (1) gives:
% 197.06/33.90  | 
% 197.06/33.90  | Case 1:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (8)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 197.06/33.90  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.06/33.90  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 197.06/33.90  | |        (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 197.06/33.90  | |            = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.06/33.90  | |          all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 197.06/33.90  | | 
% 197.06/33.90  | | BETA: splitting (8) gives:
% 197.06/33.90  | | 
% 197.06/33.90  | | Case 1:
% 197.06/33.90  | | | 
% 197.06/33.90  | | |   (9)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 197.06/33.90  | | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.06/33.90  | | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 197.06/33.90  | | | 
% 197.06/33.90  | | | ALPHA: (9) implies:
% 197.06/33.90  | | |   (10)  op(e0, e0) = e1
% 197.06/33.90  | | | 
% 197.06/33.90  | | | REF_CLOSE: (2), (6), (7), (10) are inconsistent by sub-proof #1392.
% 197.06/33.90  | | | 
% 197.06/33.90  | | Case 2:
% 197.06/33.90  | | | 
% 197.06/33.90  | | |   (11)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.06/33.90  | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.06/33.90  | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.06/33.90  | | |         $i(all_57_12)
% 197.06/33.90  | | | 
% 197.06/33.90  | | | ALPHA: (11) implies:
% 197.06/33.90  | | |   (12)   ~ (all_57_12 = e1)
% 197.06/33.90  | | |   (13)  op(e2, e2) = all_57_12
% 197.06/33.90  | | | 
% 197.06/33.90  | | | REF_CLOSE: (2), (3), (12), (13) are inconsistent by sub-proof #1890.
% 197.06/33.90  | | | 
% 197.06/33.90  | | End of split
% 197.06/33.90  | | 
% 197.06/33.90  | Case 2:
% 197.06/33.90  | | 
% 197.06/33.90  | |   (14)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 197.06/33.90  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.06/33.90  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.06/33.90  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.06/33.90  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.90  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.06/33.90  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 197.06/33.90  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 197.06/33.90  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.06/33.90  | |           $i(all_57_13))
% 197.06/33.90  | | 
% 197.06/33.90  | | REF_CLOSE: (2), (4), (5), (6), (7), (14) are inconsistent by sub-proof
% 197.06/33.90  | |            #1189.
% 197.06/33.90  | | 
% 197.06/33.90  | End of split
% 197.06/33.90  | 
% 197.06/33.90  End of proof
% 197.06/33.90  
% 197.06/33.90  Sub-proof #1189 shows that the following formulas are inconsistent:
% 197.06/33.90  ----------------------------------------------------------------
% 197.06/33.90    (1)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 197.06/33.90             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.06/33.90           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 197.06/33.90           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 197.06/33.90           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 197.06/33.90           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.06/33.90           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 197.06/33.90           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.06/33.90           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.06/33.90    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.90           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.90    (3)   ~ (all_52_12 = e3)
% 197.06/33.90    (4)  op(e3, e0) = all_52_12
% 197.06/33.90    (5)  op(e0, e0) = e3
% 197.06/33.90    (6)   ~ (e3 = e1)
% 197.06/33.90  
% 197.06/33.90  Begin of proof
% 197.06/33.90  | 
% 197.06/33.90  | BETA: splitting (1) gives:
% 197.06/33.90  | 
% 197.06/33.90  | Case 1:
% 197.06/33.90  | | 
% 197.06/33.91  | |   (7)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 197.06/33.91  | |          e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.06/33.91  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 197.06/33.91  | | 
% 197.06/33.91  | | ALPHA: (7) implies:
% 197.06/33.91  | |   (8)  op(e0, e0) = e1
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1392.
% 197.06/33.91  | | 
% 197.06/33.91  | Case 2:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (9)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 197.06/33.91  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 197.06/33.91  | |          e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 197.06/33.91  | |        (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 197.06/33.91  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 197.06/33.91  | |          e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1963.
% 197.06/33.91  | | 
% 197.06/33.91  | End of split
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1190 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.91    (2)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.06/33.91    (3)  op(e2, e0) = all_52_13
% 197.06/33.91    (4)   ~ (all_52_13 = e1)
% 197.06/33.91    (5)   ~ (all_52_12 = e1)
% 197.06/33.91    (6)  op(e3, e0) = all_52_12
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | BETA: splitting (2) gives:
% 197.06/33.91  | 
% 197.06/33.91  | Case 1:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (7)  all_56_9 = e1 & op(e3, e0) = e1
% 197.06/33.91  | | 
% 197.06/33.91  | | ALPHA: (7) implies:
% 197.06/33.91  | |   (8)  op(e3, e0) = e1
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1949.
% 197.06/33.91  | | 
% 197.06/33.91  | Case 2:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (9)  all_56_10 = e1 & op(e2, e0) = e1
% 197.06/33.91  | | 
% 197.06/33.91  | | ALPHA: (9) implies:
% 197.06/33.91  | |   (10)  op(e2, e0) = e1
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1650.
% 197.06/33.91  | | 
% 197.06/33.91  | End of split
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1191 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)  all_56_11 = e1
% 197.06/33.91    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.06/33.91         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.06/33.91    (3)  all_56_11 = e0 & op(e1, e0) = e0
% 197.06/33.91    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.06/33.91         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.06/33.91    (5)   ~ (e3 = e2)
% 197.06/33.91    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.91    (7)  all_56_10 = e2
% 197.06/33.91    (8)  op(e3, e3) = e1
% 197.06/33.91    (9)  all_56_5 = e1
% 197.06/33.91    (10)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.06/33.91          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.06/33.91    (11)   ~ (e1 = e0)
% 197.06/33.91    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.06/33.91          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.06/33.91    (13)   ~ (e2 = e1)
% 197.06/33.91    (14)  op(e2, e2) = e0
% 197.06/33.91    (15)   ~ (e3 = e1)
% 197.06/33.91    (16)   ~ (e2 = e0)
% 197.06/33.91    (17)   ~ (e3 = e0)
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | ALPHA: (3) implies:
% 197.06/33.91  |   (18)  all_56_11 = e0
% 197.06/33.91  | 
% 197.06/33.91  | COMBINE_EQS: (1), (18) imply:
% 197.06/33.91  |   (19)  e1 = e0
% 197.06/33.91  | 
% 197.06/33.91  | COMBINE_EQS: (9), (19) imply:
% 197.06/33.91  |   (20)  all_56_5 = e0
% 197.06/33.91  | 
% 197.06/33.91  | REF_CLOSE: (2), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14), (15),
% 197.06/33.91  |            (16), (17), (20) are inconsistent by sub-proof #1840.
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1192 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.06/33.91         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.06/33.91    (2)   ~ (e3 = e2)
% 197.06/33.91    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.91    (4)  all_56_9 = e0
% 197.06/33.91    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.06/33.91         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.06/33.91    (6)  op(e3, e3) = e3
% 197.06/33.91    (7)   ~ (e2 = e1)
% 197.06/33.91    (8)   ~ (all_52_12 = e1)
% 197.06/33.91    (9)  op(e3, e0) = all_52_12
% 197.06/33.91    (10)  all_56_1 = e3
% 197.06/33.91    (11)   ~ (e3 = e1)
% 197.06/33.91    (12)   ~ (e2 = e0)
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | BETA: splitting (5) gives:
% 197.06/33.91  | 
% 197.06/33.91  | Case 1:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 197.06/33.91  | |           e2)
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (2), (3), (6), (10), (13) are inconsistent by sub-proof #1193.
% 197.06/33.91  | | 
% 197.06/33.91  | Case 2:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (14)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 197.06/33.91  | |           e2)
% 197.06/33.91  | | 
% 197.06/33.91  | | BETA: splitting (14) gives:
% 197.06/33.91  | | 
% 197.06/33.91  | | Case 1:
% 197.06/33.91  | | | 
% 197.06/33.91  | | |   (15)  all_56_4 = e2 & op(e3, e1) = e2
% 197.06/33.91  | | | 
% 197.06/33.91  | | | ALPHA: (15) implies:
% 197.06/33.91  | | |   (16)  all_56_4 = e2
% 197.06/33.91  | | | 
% 197.06/33.91  | | | REF_CLOSE: (1), (3), (6), (7), (8), (9), (10), (11), (16) are inconsistent
% 197.06/33.91  | | |            by sub-proof #1401.
% 197.06/33.91  | | | 
% 197.06/33.91  | | Case 2:
% 197.06/33.91  | | | 
% 197.06/33.91  | | |   (17)  all_56_9 = e2 & op(e3, e0) = e2
% 197.06/33.91  | | | 
% 197.06/33.91  | | | ALPHA: (17) implies:
% 197.06/33.91  | | |   (18)  all_56_9 = e2
% 197.06/33.91  | | | 
% 197.06/33.91  | | | REF_CLOSE: (4), (12), (18) are inconsistent by sub-proof #1919.
% 197.06/33.91  | | | 
% 197.06/33.91  | | End of split
% 197.06/33.91  | | 
% 197.06/33.91  | End of split
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1193 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)   ~ (e3 = e2)
% 197.06/33.91    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.91    (3)  op(e3, e3) = e3
% 197.06/33.91    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 197.06/33.91    (5)  all_56_1 = e3
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | BETA: splitting (4) gives:
% 197.06/33.91  | 
% 197.06/33.91  | Case 1:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (6)  all_56_0 = e2 & op(e3, e3) = e2
% 197.06/33.91  | | 
% 197.06/33.91  | | ALPHA: (6) implies:
% 197.06/33.91  | |   (7)  op(e3, e3) = e2
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1957.
% 197.06/33.91  | | 
% 197.06/33.91  | Case 2:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (8)  all_56_1 = e2 & op(e3, e2) = e2
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #1301.
% 197.06/33.91  | | 
% 197.06/33.91  | End of split
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1194 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.06/33.91           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.06/33.91           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.06/33.91                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.06/33.91               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.06/33.91               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.06/33.91           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.06/33.91             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.06/33.91               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.91           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.06/33.91               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.06/33.91           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.06/33.91           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.06/33.91               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.06/33.91               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.06/33.91               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.06/33.91         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.06/33.91           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.06/33.91           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.06/33.91               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.06/33.91             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.06/33.91    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.91    (3)  op(e3, e3) = e1
% 197.06/33.91    (4)  op(e3, e2) = e3
% 197.06/33.91    (5)   ~ (e2 = e1)
% 197.06/33.91    (6)  op(e1, e0) = e1
% 197.06/33.91    (7)  op(e0, e0) = e3
% 197.06/33.91    (8)   ~ (e3 = e1)
% 197.06/33.91    (9)  op(e1, e1) = e3
% 197.06/33.91    (10)   ~ (e3 = e0)
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | BETA: splitting (1) gives:
% 197.06/33.91  | 
% 197.06/33.91  | Case 1:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (11)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.06/33.91  | |           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.06/33.91  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.06/33.91  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.06/33.91  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 197.06/33.91  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 197.06/33.91  | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 197.06/33.91  | |             e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 197.06/33.91  | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 197.06/33.91  | |                 e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 197.06/33.91  | |                 e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.06/33.91  | |               $i(all_57_4))))
% 197.06/33.91  | | 
% 197.06/33.91  | | BETA: splitting (11) gives:
% 197.06/33.91  | | 
% 197.06/33.91  | | Case 1:
% 197.06/33.91  | | | 
% 197.06/33.91  | | |   (12)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 197.06/33.91  | | |         & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.06/33.91  | | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.06/33.91  | | |             (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.06/33.91  | | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 197.06/33.91  | | |             op(e1, e0) = all_57_13 & $i(all_57_13)))
% 197.06/33.91  | | | 
% 197.06/33.91  | | | ALPHA: (12) implies:
% 197.06/33.91  | | |   (13)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.06/33.91  | | |             e0) = all_57_13 & $i(all_57_13))
% 197.06/33.91  | | | 
% 197.06/33.91  | | | REF_CLOSE: (2), (6), (9), (10), (13) are inconsistent by sub-proof #1271.
% 197.06/33.91  | | | 
% 197.06/33.91  | | Case 2:
% 197.06/33.91  | | | 
% 197.06/33.91  | | |   (14)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 197.06/33.91  | | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.06/33.91  | | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.06/33.91  | | |             (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.91  | | |         ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 197.06/33.91  | | |               e2) = all_57_4 & $i(all_57_4)))
% 197.06/33.91  | | | 
% 197.06/33.91  | | | ALPHA: (14) implies:
% 197.06/33.91  | | |   (15)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 197.06/33.91  | | |             e2) = all_57_3 & $i(all_57_3))
% 197.06/33.91  | | | 
% 197.06/33.91  | | | REF_CLOSE: (2), (3), (4), (5), (15) are inconsistent by sub-proof #1888.
% 197.06/33.91  | | | 
% 197.06/33.91  | | End of split
% 197.06/33.91  | | 
% 197.06/33.91  | Case 2:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (16)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.06/33.91  | |           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.06/33.91  | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.06/33.91  | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.06/33.91  | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 197.06/33.91  | |               op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 197.06/33.91  | |           all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1,
% 197.06/33.91  | |             e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.06/33.91  | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 197.06/33.91  | |                 e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 197.06/33.91  | |                 e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.06/33.91  | |               $i(all_57_7))))
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (2), (7), (8), (9), (10), (16) are inconsistent by sub-proof
% 197.06/33.91  | |            #1219.
% 197.06/33.91  | | 
% 197.06/33.91  | End of split
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1195 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.91    (2)  op(e3, e3) = e1
% 197.06/33.91    (3)  op(e0, e3) = all_52_3
% 197.06/33.91    (4)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.06/33.91           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.06/33.91           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.06/33.91                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.06/33.91               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.06/33.91               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.06/33.91           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.06/33.91           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.06/33.91             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.91           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.06/33.91               = all_57_1 & $i(all_57_1))))
% 197.06/33.91    (5)  op(e0, e1) = e0
% 197.06/33.91    (6)  op(e0, e1) = all_52_11
% 197.06/33.91    (7)   ~ (e1 = e0)
% 197.06/33.91    (8)   ~ (all_52_3 = all_52_11)
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | BETA: splitting (4) gives:
% 197.06/33.91  | 
% 197.06/33.91  | Case 1:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (9)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.06/33.91  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.06/33.91  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 197.06/33.91  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 197.06/33.91  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.06/33.91  | |            all_57_13 & $i(all_57_13)))
% 197.06/33.91  | | 
% 197.06/33.91  | | ALPHA: (9) implies:
% 197.06/33.91  | |   (10)  op(e3, e3) = e0
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (1), (2), (7), (10) are inconsistent by sub-proof #1937.
% 197.06/33.91  | | 
% 197.06/33.91  | Case 2:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (11)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 197.06/33.91  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.06/33.91  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 197.06/33.91  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 197.06/33.91  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.06/33.91  | |             all_57_1 & $i(all_57_1)))
% 197.06/33.91  | | 
% 197.06/33.91  | | ALPHA: (11) implies:
% 197.06/33.91  | |   (12)  op(e0, e3) = e0
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (1), (3), (5), (6), (8), (12) are inconsistent by sub-proof
% 197.06/33.91  | |            #1671.
% 197.06/33.91  | | 
% 197.06/33.91  | End of split
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1196 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)  all_56_6 = e2 & op(e1, e3) = e2
% 197.06/33.91    (2)  all_56_6 = e0
% 197.06/33.91    (3)   ~ (e2 = e0)
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | ALPHA: (1) implies:
% 197.06/33.91  |   (4)  all_56_6 = e2
% 197.06/33.91  | 
% 197.06/33.91  | COMBINE_EQS: (2), (4) imply:
% 197.06/33.91  |   (5)  e2 = e0
% 197.06/33.91  | 
% 197.06/33.91  | REDUCE: (3), (5) imply:
% 197.06/33.91  |   (6)  $false
% 197.06/33.91  | 
% 197.06/33.91  | CLOSE: (6) is inconsistent.
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1197 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)  all_56_10 = e2
% 197.06/33.91    (2)  all_56_10 = e1
% 197.06/33.91    (3)   ~ (e2 = e1)
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | COMBINE_EQS: (1), (2) imply:
% 197.06/33.91  |   (4)  e2 = e1
% 197.06/33.91  | 
% 197.06/33.91  | SIMP: (4) implies:
% 197.06/33.91  |   (5)  e2 = e1
% 197.06/33.91  | 
% 197.06/33.91  | REDUCE: (3), (5) imply:
% 197.06/33.91  |   (6)  $false
% 197.06/33.91  | 
% 197.06/33.91  | CLOSE: (6) is inconsistent.
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1198 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.91    (2)   ~ (e1 = e0)
% 197.06/33.91    (3)  all_56_14 = e1
% 197.06/33.91    (4)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.06/33.91    (5)  op(e1, e1) = e3
% 197.06/33.91    (6)   ~ (e3 = e0)
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | BETA: splitting (4) gives:
% 197.06/33.91  | 
% 197.06/33.91  | Case 1:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 197.06/33.91  | | 
% 197.06/33.91  | | ALPHA: (7) implies:
% 197.06/33.91  | |   (8)  op(e1, e1) = e0
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1824.
% 197.06/33.91  | | 
% 197.06/33.91  | Case 2:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #1199.
% 197.06/33.91  | | 
% 197.06/33.91  | End of split
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1199 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)  all_56_14 = e0 & op(e0, e1) = e0
% 197.06/33.91    (2)  all_56_14 = e1
% 197.06/33.91    (3)   ~ (e1 = e0)
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | ALPHA: (1) implies:
% 197.06/33.91  |   (4)  all_56_14 = e0
% 197.06/33.91  | 
% 197.06/33.91  | COMBINE_EQS: (2), (4) imply:
% 197.06/33.91  |   (5)  e1 = e0
% 197.06/33.91  | 
% 197.06/33.91  | SIMP: (5) implies:
% 197.06/33.91  |   (6)  e1 = e0
% 197.06/33.91  | 
% 197.06/33.91  | REDUCE: (3), (6) imply:
% 197.06/33.91  |   (7)  $false
% 197.06/33.91  | 
% 197.06/33.91  | CLOSE: (7) is inconsistent.
% 197.06/33.91  | 
% 197.06/33.91  End of proof
% 197.06/33.91  
% 197.06/33.91  Sub-proof #1200 shows that the following formulas are inconsistent:
% 197.06/33.91  ----------------------------------------------------------------
% 197.06/33.91    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.06/33.91         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.06/33.91    (2)  op(e1, e3) = all_52_2
% 197.06/33.91    (3)   ~ (all_52_13 = e3)
% 197.06/33.91    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.06/33.91         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.06/33.91    (5)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.06/33.91         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.06/33.91    (6)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.06/33.91         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.06/33.91    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.06/33.91         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.06/33.91    (8)   ~ (e3 = e2)
% 197.06/33.91    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.91    (10)  all_56_13 = e0
% 197.06/33.91    (11)  op(e2, e2) = all_4_2
% 197.06/33.91    (12)  op(e3, e3) = e1
% 197.06/33.91    (13)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.06/33.91          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.06/33.91    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.06/33.91          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.06/33.91    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 197.06/33.91          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.06/33.91    (16)  op(e2, e0) = all_52_13
% 197.06/33.91    (17)  all_56_15 = e3
% 197.06/33.91    (18)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.06/33.91          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.06/33.91    (19)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 197.06/33.91            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.06/33.91              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.06/33.91    (20)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.06/33.91          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.06/33.91    (21)   ~ (all_4_2 = e3)
% 197.06/33.91    (22)  op(e3, e2) = e3
% 197.06/33.91    (23)  all_56_2 = e3
% 197.06/33.91    (24)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.06/33.91          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.06/33.91    (25)   ~ (e1 = e0)
% 197.06/33.91    (26)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.06/33.91          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.06/33.91    (27)  all_56_14 = e1
% 197.06/33.91    (28)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.06/33.91          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.06/33.91    (29)  all_36_2 = e0
% 197.06/33.91    (30)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.06/33.91              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.06/33.91                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.06/33.91                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.06/33.91    (31)   ~ (e2 = e1)
% 197.06/33.91    (32)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.06/33.91          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.06/33.91    (33)   ~ (all_52_2 = e1)
% 197.06/33.91    (34)  all_56_1 = e3
% 197.06/33.91    (35)  op(e2, e2) = e0
% 197.06/33.91    (36)   ~ (e3 = e1)
% 197.06/33.91    (37)  op(e1, e1) = e3
% 197.06/33.91    (38)   ~ (e2 = e0)
% 197.06/33.91    (39)   ~ (e3 = e0)
% 197.06/33.91  
% 197.06/33.91  Begin of proof
% 197.06/33.91  | 
% 197.06/33.91  | BETA: splitting (6) gives:
% 197.06/33.91  | 
% 197.06/33.91  | Case 1:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (40)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.06/33.91  | |           e2)
% 197.06/33.91  | | 
% 197.06/33.91  | | REF_CLOSE: (8), (9), (22), (35), (38), (40) are inconsistent by sub-proof
% 197.06/33.91  | |            #1926.
% 197.06/33.91  | | 
% 197.06/33.91  | Case 2:
% 197.06/33.91  | | 
% 197.06/33.91  | |   (41)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 197.06/33.91  | |           e2)
% 197.06/33.91  | | 
% 197.06/33.91  | | BETA: splitting (41) gives:
% 197.06/33.91  | | 
% 197.06/33.91  | | Case 1:
% 197.06/33.91  | | | 
% 197.06/33.91  | | |   (42)  all_56_7 = e2 & op(e1, e2) = e2
% 197.06/33.91  | | | 
% 197.06/33.91  | | | ALPHA: (42) implies:
% 197.06/33.91  | | |   (43)  all_56_7 = e2
% 197.06/33.91  | | | 
% 197.06/33.91  | | | BETA: splitting (5) gives:
% 197.06/33.91  | | | 
% 197.06/33.91  | | | Case 1:
% 197.06/33.91  | | | | 
% 197.06/33.91  | | | |   (44)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1)
% 197.06/33.91  | | | |           = e0)
% 197.06/33.91  | | | | 
% 197.06/33.91  | | | | BETA: splitting (44) gives:
% 197.06/33.91  | | | | 
% 197.06/33.91  | | | | Case 1:
% 197.06/33.91  | | | | | 
% 197.06/33.91  | | | | |   (45)  all_56_4 = e0 & op(e3, e1) = e0
% 197.06/33.91  | | | | | 
% 197.06/33.91  | | | | | ALPHA: (45) implies:
% 197.06/33.91  | | | | |   (46)  all_56_4 = e0
% 197.06/33.91  | | | | | 
% 197.06/33.91  | | | | | BETA: splitting (18) gives:
% 197.06/33.91  | | | | | 
% 197.06/33.91  | | | | | Case 1:
% 197.06/33.91  | | | | | | 
% 197.06/33.91  | | | | | |   (47)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1,
% 197.06/33.91  | | | | | |             e2) = e1)
% 197.06/33.91  | | | | | | 
% 197.06/33.91  | | | | | | BETA: splitting (47) gives:
% 197.06/33.91  | | | | | | 
% 197.06/33.91  | | | | | | Case 1:
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | |   (48)  all_56_6 = e1 & op(e1, e3) = e1
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | | ALPHA: (48) implies:
% 197.06/33.91  | | | | | | |   (49)  op(e1, e3) = e1
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | | REF_CLOSE: (2), (9), (33), (49) are inconsistent by sub-proof
% 197.06/33.91  | | | | | | |            #1974.
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | Case 2:
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | |   (50)  all_56_7 = e1 & op(e1, e2) = e1
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | | REF_CLOSE: (31), (43), (50) are inconsistent by sub-proof #1765.
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | End of split
% 197.06/33.91  | | | | | | 
% 197.06/33.91  | | | | | Case 2:
% 197.06/33.91  | | | | | | 
% 197.06/33.91  | | | | | |   (51)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1,
% 197.06/33.91  | | | | | |             e0) = e1)
% 197.06/33.91  | | | | | | 
% 197.06/33.91  | | | | | | BETA: splitting (51) gives:
% 197.06/33.91  | | | | | | 
% 197.06/33.91  | | | | | | Case 1:
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | |   (52)  all_56_8 = e1 & op(e1, e1) = e1
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | | ALPHA: (52) implies:
% 197.06/33.91  | | | | | | |   (53)  op(e1, e1) = e1
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | | REF_CLOSE: (9), (36), (37), (53) are inconsistent by sub-proof
% 197.06/33.91  | | | | | | |            #1978.
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | Case 2:
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | |   (54)  all_56_11 = e1 & op(e1, e0) = e1
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | | ALPHA: (54) implies:
% 197.06/33.91  | | | | | | |   (55)  all_56_11 = e1
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | | BETA: splitting (15) gives:
% 197.06/33.91  | | | | | | | 
% 197.06/33.91  | | | | | | | Case 1:
% 197.06/33.91  | | | | | | | | 
% 197.06/33.91  | | | | | | | |   (56)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 &
% 197.06/33.91  | | | | | | | |           op(e1, e2) = e0)
% 197.06/33.91  | | | | | | | | 
% 197.06/33.91  | | | | | | | | BETA: splitting (56) gives:
% 197.06/33.91  | | | | | | | | 
% 197.06/33.91  | | | | | | | | Case 1:
% 197.06/33.91  | | | | | | | | | 
% 197.06/33.91  | | | | | | | | |   (57)  all_56_6 = e0 & op(e1, e3) = e0
% 197.06/33.91  | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | ALPHA: (57) implies:
% 197.06/33.91  | | | | | | | | |   (58)  all_56_6 = e0
% 197.06/33.91  | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | BETA: splitting (1) gives:
% 197.06/33.91  | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | Case 1:
% 197.06/33.91  | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | |   (59)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 &
% 197.06/33.91  | | | | | | | | | |           op(e2, e2) = e1)
% 197.06/33.91  | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (12), (23), (25), (26), (31),
% 197.06/33.91  | | | | | | | | | |            (34), (35), (36), (38), (39), (59) are
% 197.06/33.91  | | | | | | | | | |            inconsistent by sub-proof #1210.
% 197.06/33.91  | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | Case 2:
% 197.06/33.91  | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | |   (60)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1
% 197.06/33.91  | | | | | | | | | |           & op(e0, e2) = e1)
% 197.06/33.91  | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | BETA: splitting (60) gives:
% 197.06/33.91  | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | Case 1:
% 197.06/33.91  | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | |   (61)  all_56_7 = e1 & op(e1, e2) = e1
% 197.06/33.91  | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | ALPHA: (61) implies:
% 197.06/33.91  | | | | | | | | | | |   (62)  all_56_7 = e1
% 197.06/33.91  | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | BETA: splitting (6) gives:
% 197.06/33.91  | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | Case 1:
% 197.06/33.91  | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | |   (63)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 197.06/33.91  | | | | | | | | | | | |           & op(e2, e2) = e2)
% 197.06/33.91  | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | REF_CLOSE: (8), (9), (22), (35), (38), (63) are inconsistent
% 197.06/33.91  | | | | | | | | | | | |            by sub-proof #1926.
% 197.06/33.91  | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | Case 2:
% 197.06/33.91  | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | BETA: splitting (41) gives:
% 197.06/33.91  | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | Case 1:
% 197.06/33.91  | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | REF_CLOSE: (31), (42), (62) are inconsistent by sub-proof
% 197.06/33.91  | | | | | | | | | | | | |            #1906.
% 197.06/33.91  | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | Case 2:
% 197.06/33.91  | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | |   (64)  all_56_13 = e2 & op(e0, e2) = e2
% 197.06/33.91  | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | ALPHA: (64) implies:
% 197.06/33.91  | | | | | | | | | | | | |   (65)  all_56_13 = e2
% 197.06/33.91  | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | BETA: splitting (4) gives:
% 197.06/33.91  | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | Case 1:
% 197.06/33.91  | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | |   (66)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 197.06/33.91  | | | | | | | | | | | | | |           & op(e2, e3) = e2)
% 197.06/33.91  | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 197.06/33.91  | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | Case 1:
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | |   (67)  all_56_0 = e2 & op(e3, e3) = e2
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | | ALPHA: (67) implies:
% 197.06/33.91  | | | | | | | | | | | | | | |   (68)  op(e3, e3) = e2
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (31), (68) are inconsistent by
% 197.06/33.91  | | | | | | | | | | | | | | |            sub-proof #1934.
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | Case 2:
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | |   (69)  all_56_2 = e2 & op(e2, e3) = e2
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | | REF_CLOSE: (8), (23), (69) are inconsistent by sub-proof
% 197.06/33.91  | | | | | | | | | | | | | | |            #1861.
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | End of split
% 197.06/33.91  | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | Case 2:
% 197.06/33.91  | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | |   (70)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 197.06/33.91  | | | | | | | | | | | | | |           e2 & op(e0, e3) = e2)
% 197.06/33.91  | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 197.06/33.91  | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | Case 1:
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | |   (71)  all_56_6 = e2 & op(e1, e3) = e2
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | | ALPHA: (71) implies:
% 197.06/33.91  | | | | | | | | | | | | | | |   (72)  all_56_6 = e2
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | | REF_CLOSE: (38), (58), (72) are inconsistent by sub-proof
% 197.06/33.91  | | | | | | | | | | | | | | |            #1849.
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | Case 2:
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | |   (73)  all_56_12 = e2 & op(e0, e3) = e2
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | | ALPHA: (73) implies:
% 197.06/33.91  | | | | | | | | | | | | | | |   (74)  all_56_12 = e2
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 197.06/33.91  | | | | | | | | | | | | | | | 
% 197.06/33.91  | | | | | | | | | | | | | | | Case 1:
% 197.06/33.91  | | | | | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | | | | | |   (75)  all_56_15 = e0 & op(e0, e0) = e0
% 197.06/33.92  | | | | | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (11), (16), (17), (19), (20), (21),
% 197.06/33.92  | | | | | | | | | | | | | | | |            (23), (24), (25), (29), (31), (32), (35), (36),
% 197.06/33.92  | | | | | | | | | | | | | | | |            (38), (39), (75) are inconsistent by sub-proof
% 197.06/33.92  | | | | | | | | | | | | | | | |            #1212.
% 197.06/33.92  | | | | | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | | | | | Case 2:
% 197.06/33.92  | | | | | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | | | | | |   (76)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 197.06/33.92  | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 197.06/33.92  | | | | | | | | | | | | | | | |             op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 197.06/33.92  | | | | | | | | | | | | | | | |               e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.06/33.92  | | | | | | | | | | | | | | | |             e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 197.06/33.92  | | | | | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | | | | | | ALPHA: (76) implies:
% 197.06/33.92  | | | | | | | | | | | | | | | |   (77)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 197.06/33.92  | | | | | | | | | | | | | | | |           e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 197.06/33.92  | | | | | | | | | | | | | | | |             e1) = e0)
% 197.06/33.92  | | | | | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | | | | | | REF_CLOSE: (25), (27), (38), (65), (74), (77) are
% 197.06/33.92  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1206.
% 197.06/33.92  | | | | | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | | | | | End of split
% 197.06/33.92  | | | | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | | | | End of split
% 197.06/33.92  | | | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | | | End of split
% 197.06/33.92  | | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | | End of split
% 197.06/33.92  | | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | End of split
% 197.06/33.92  | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | Case 2:
% 197.06/33.92  | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | |   (78)  all_56_13 = e1 & op(e0, e2) = e1
% 197.06/33.92  | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | ALPHA: (78) implies:
% 197.06/33.92  | | | | | | | | | | |   (79)  all_56_13 = e1
% 197.06/33.92  | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | | REF_CLOSE: (10), (25), (79) are inconsistent by sub-proof
% 197.06/33.92  | | | | | | | | | | |            #1787.
% 197.06/33.92  | | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | | End of split
% 197.06/33.92  | | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | End of split
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | Case 2:
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | |   (80)  all_56_7 = e0 & op(e1, e2) = e0
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | ALPHA: (80) implies:
% 197.06/33.92  | | | | | | | | |   (81)  all_56_7 = e0
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | REF_CLOSE: (1), (4), (6), (7), (8), (9), (12), (22), (23),
% 197.06/33.92  | | | | | | | | |            (25), (26), (31), (34), (35), (36), (38), (39),
% 197.06/33.92  | | | | | | | | |            (81) are inconsistent by sub-proof #1203.
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | End of split
% 197.06/33.92  | | | | | | | | 
% 197.06/33.92  | | | | | | | Case 2:
% 197.06/33.92  | | | | | | | | 
% 197.06/33.92  | | | | | | | |   (82)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 &
% 197.06/33.92  | | | | | | | |           op(e1, e0) = e0)
% 197.06/33.92  | | | | | | | | 
% 197.06/33.92  | | | | | | | | BETA: splitting (82) gives:
% 197.06/33.92  | | | | | | | | 
% 197.06/33.92  | | | | | | | | Case 1:
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | |   (83)  all_56_8 = e0 & op(e1, e1) = e0
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | ALPHA: (83) implies:
% 197.06/33.92  | | | | | | | | |   (84)  op(e1, e1) = e0
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | REF_CLOSE: (8), (9), (13), (14), (25), (28), (31), (36), (38),
% 197.06/33.92  | | | | | | | | |            (39), (46), (84) are inconsistent by sub-proof
% 197.06/33.92  | | | | | | | | |            #1809.
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | Case 2:
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | |   (85)  all_56_11 = e0 & op(e1, e0) = e0
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | | REF_CLOSE: (25), (55), (85) are inconsistent by sub-proof
% 197.06/33.92  | | | | | | | | |            #1202.
% 197.06/33.92  | | | | | | | | | 
% 197.06/33.92  | | | | | | | | End of split
% 197.06/33.92  | | | | | | | | 
% 197.06/33.92  | | | | | | | End of split
% 197.06/33.92  | | | | | | | 
% 197.06/33.92  | | | | | | End of split
% 197.06/33.92  | | | | | | 
% 197.06/33.92  | | | | | End of split
% 197.06/33.92  | | | | | 
% 197.06/33.92  | | | | Case 2:
% 197.06/33.92  | | | | | 
% 197.06/33.92  | | | | |   (86)  all_56_5 = e0 & op(e2, e1) = e0
% 197.06/33.92  | | | | | 
% 197.06/33.92  | | | | | ALPHA: (86) implies:
% 197.06/33.92  | | | | |   (87)  all_56_5 = e0
% 197.06/33.92  | | | | | 
% 197.06/33.92  | | | | | REF_CLOSE: (4), (7), (8), (9), (12), (23), (24), (25), (26), (31),
% 197.06/33.92  | | | | |            (32), (35), (36), (38), (39), (87) are inconsistent by
% 197.06/33.92  | | | | |            sub-proof #1839.
% 197.06/33.92  | | | | | 
% 197.06/33.92  | | | | End of split
% 197.06/33.92  | | | | 
% 197.06/33.92  | | | Case 2:
% 197.06/33.92  | | | | 
% 197.06/33.92  | | | |   (88)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1)
% 197.06/33.92  | | | |           = e0)
% 197.06/33.92  | | | | 
% 197.06/33.92  | | | | REF_CLOSE: (9), (25), (27), (37), (39), (88) are inconsistent by
% 197.06/33.92  | | | |            sub-proof #1201.
% 197.06/33.92  | | | | 
% 197.06/33.92  | | | End of split
% 197.06/33.92  | | | 
% 197.06/33.92  | | Case 2:
% 197.06/33.92  | | | 
% 197.06/33.92  | | |   (89)  all_56_13 = e2 & op(e0, e2) = e2
% 197.06/33.92  | | | 
% 197.06/33.92  | | | ALPHA: (89) implies:
% 197.06/33.92  | | |   (90)  all_56_13 = e2
% 197.06/33.92  | | | 
% 197.06/33.92  | | | REF_CLOSE: (10), (38), (90) are inconsistent by sub-proof #1357.
% 197.06/33.92  | | | 
% 197.06/33.92  | | End of split
% 197.06/33.92  | | 
% 197.06/33.92  | End of split
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1201 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.92    (2)   ~ (e1 = e0)
% 197.06/33.92    (3)  all_56_14 = e1
% 197.06/33.92    (4)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.06/33.92    (5)  op(e1, e1) = e3
% 197.06/33.92    (6)   ~ (e3 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | BETA: splitting (4) gives:
% 197.06/33.92  | 
% 197.06/33.92  | Case 1:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 197.06/33.92  | | 
% 197.06/33.92  | | ALPHA: (7) implies:
% 197.06/33.92  | |   (8)  op(e1, e1) = e0
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1824.
% 197.06/33.92  | | 
% 197.06/33.92  | Case 2:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #1207.
% 197.06/33.92  | | 
% 197.06/33.92  | End of split
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1202 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  all_56_11 = e0 & op(e1, e0) = e0
% 197.06/33.92    (2)  all_56_11 = e1
% 197.06/33.92    (3)   ~ (e1 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | ALPHA: (1) implies:
% 197.06/33.92  |   (4)  all_56_11 = e0
% 197.06/33.92  | 
% 197.06/33.92  | COMBINE_EQS: (2), (4) imply:
% 197.06/33.92  |   (5)  e1 = e0
% 197.06/33.92  | 
% 197.06/33.92  | REDUCE: (3), (5) imply:
% 197.06/33.92  |   (6)  $false
% 197.06/33.92  | 
% 197.06/33.92  | CLOSE: (6) is inconsistent.
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1203 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.06/33.92         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.06/33.92    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.06/33.92         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.06/33.92    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.06/33.92         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.06/33.92    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.06/33.92         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.06/33.92    (5)   ~ (e3 = e2)
% 197.06/33.92    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.92    (7)  op(e3, e3) = e1
% 197.06/33.92    (8)  all_56_7 = e0
% 197.06/33.92    (9)  op(e3, e2) = e3
% 197.06/33.92    (10)  all_56_2 = e3
% 197.06/33.92    (11)   ~ (e1 = e0)
% 197.06/33.92    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.06/33.92          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.06/33.92    (13)   ~ (e2 = e1)
% 197.06/33.92    (14)  all_56_1 = e3
% 197.06/33.92    (15)  op(e2, e2) = e0
% 197.06/33.92    (16)   ~ (e3 = e1)
% 197.06/33.92    (17)   ~ (e2 = e0)
% 197.06/33.92    (18)   ~ (e3 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | BETA: splitting (3) gives:
% 197.06/33.92  | 
% 197.06/33.92  | Case 1:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.06/33.92  | |           e2)
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (5), (6), (9), (15), (17), (19) are inconsistent by sub-proof
% 197.06/33.92  | |            #1926.
% 197.06/33.92  | | 
% 197.06/33.92  | Case 2:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (20)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 197.06/33.92  | |           e2)
% 197.06/33.92  | | 
% 197.06/33.92  | | BETA: splitting (20) gives:
% 197.06/33.92  | | 
% 197.06/33.92  | | Case 1:
% 197.06/33.92  | | | 
% 197.06/33.92  | | |   (21)  all_56_7 = e2 & op(e1, e2) = e2
% 197.06/33.92  | | | 
% 197.06/33.92  | | | ALPHA: (21) implies:
% 197.06/33.92  | | |   (22)  all_56_7 = e2
% 197.06/33.92  | | | 
% 197.06/33.92  | | | REF_CLOSE: (8), (17), (22) are inconsistent by sub-proof #1868.
% 197.06/33.92  | | | 
% 197.06/33.92  | | Case 2:
% 197.06/33.92  | | | 
% 197.06/33.92  | | |   (23)  all_56_13 = e2 & op(e0, e2) = e2
% 197.06/33.92  | | | 
% 197.06/33.92  | | | ALPHA: (23) implies:
% 197.06/33.92  | | |   (24)  all_56_13 = e2
% 197.06/33.92  | | | 
% 197.06/33.92  | | | BETA: splitting (1) gives:
% 197.06/33.92  | | | 
% 197.06/33.92  | | | Case 1:
% 197.06/33.92  | | | | 
% 197.06/33.92  | | | |   (25)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2)
% 197.06/33.92  | | | |           = e1)
% 197.06/33.92  | | | | 
% 197.06/33.92  | | | | REF_CLOSE: (2), (4), (5), (6), (7), (10), (11), (12), (13), (14), (15),
% 197.06/33.92  | | | |            (16), (17), (18), (25) are inconsistent by sub-proof #1210.
% 197.06/33.92  | | | | 
% 197.06/33.92  | | | Case 2:
% 197.06/33.92  | | | | 
% 197.06/33.92  | | | |   (26)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2)
% 197.06/33.92  | | | |           = e1)
% 197.06/33.92  | | | | 
% 197.06/33.92  | | | | REF_CLOSE: (8), (11), (13), (24), (26) are inconsistent by sub-proof
% 197.06/33.92  | | | |            #1204.
% 197.06/33.92  | | | | 
% 197.06/33.92  | | | End of split
% 197.06/33.92  | | | 
% 197.06/33.92  | | End of split
% 197.06/33.92  | | 
% 197.06/33.92  | End of split
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1204 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  all_56_7 = e0
% 197.06/33.92    (2)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.06/33.92    (3)  all_56_13 = e2
% 197.06/33.92    (4)   ~ (e1 = e0)
% 197.06/33.92    (5)   ~ (e2 = e1)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | BETA: splitting (2) gives:
% 197.06/33.92  | 
% 197.06/33.92  | Case 1:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (6)  all_56_7 = e1 & op(e1, e2) = e1
% 197.06/33.92  | | 
% 197.06/33.92  | | ALPHA: (6) implies:
% 197.06/33.92  | |   (7)  all_56_7 = e1
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #1522.
% 197.06/33.92  | | 
% 197.06/33.92  | Case 2:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (8)  all_56_13 = e1 & op(e0, e2) = e1
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #1205.
% 197.06/33.92  | | 
% 197.06/33.92  | End of split
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1205 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  all_56_13 = e1 & op(e0, e2) = e1
% 197.06/33.92    (2)  all_56_13 = e2
% 197.06/33.92    (3)   ~ (e2 = e1)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | ALPHA: (1) implies:
% 197.06/33.92  |   (4)  all_56_13 = e1
% 197.06/33.92  | 
% 197.06/33.92  | COMBINE_EQS: (2), (4) imply:
% 197.06/33.92  |   (5)  e2 = e1
% 197.06/33.92  | 
% 197.06/33.92  | REDUCE: (3), (5) imply:
% 197.06/33.92  |   (6)  $false
% 197.06/33.92  | 
% 197.06/33.92  | CLOSE: (6) is inconsistent.
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1206 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  all_56_13 = e2
% 197.06/33.92    (2)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.06/33.92         (all_56_14 = e0 & op(e0, e1) = e0)
% 197.06/33.92    (3)   ~ (e1 = e0)
% 197.06/33.92    (4)  all_56_14 = e1
% 197.06/33.92    (5)  all_56_12 = e2
% 197.06/33.92    (6)   ~ (e2 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | BETA: splitting (2) gives:
% 197.06/33.92  | 
% 197.06/33.92  | Case 1:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (7)  all_56_12 = e0 & op(e0, e3) = e0
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (5), (6), (7) are inconsistent by sub-proof #1592.
% 197.06/33.92  | | 
% 197.06/33.92  | Case 2:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (8)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.06/33.92  | |          e0)
% 197.06/33.92  | | 
% 197.06/33.92  | | BETA: splitting (8) gives:
% 197.06/33.92  | | 
% 197.06/33.92  | | Case 1:
% 197.06/33.92  | | | 
% 197.06/33.92  | | |   (9)  all_56_13 = e0 & op(e0, e2) = e0
% 197.06/33.92  | | | 
% 197.06/33.92  | | | REF_CLOSE: (1), (6), (9) are inconsistent by sub-proof #1208.
% 197.06/33.92  | | | 
% 197.06/33.92  | | Case 2:
% 197.06/33.92  | | | 
% 197.06/33.92  | | |   (10)  all_56_14 = e0 & op(e0, e1) = e0
% 197.06/33.92  | | | 
% 197.06/33.92  | | | REF_CLOSE: (3), (4), (10) are inconsistent by sub-proof #1207.
% 197.06/33.92  | | | 
% 197.06/33.92  | | End of split
% 197.06/33.92  | | 
% 197.06/33.92  | End of split
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1207 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  all_56_14 = e0 & op(e0, e1) = e0
% 197.06/33.92    (2)  all_56_14 = e1
% 197.06/33.92    (3)   ~ (e1 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | ALPHA: (1) implies:
% 197.06/33.92  |   (4)  all_56_14 = e0
% 197.06/33.92  | 
% 197.06/33.92  | COMBINE_EQS: (2), (4) imply:
% 197.06/33.92  |   (5)  e1 = e0
% 197.06/33.92  | 
% 197.06/33.92  | REDUCE: (3), (5) imply:
% 197.06/33.92  |   (6)  $false
% 197.06/33.92  | 
% 197.06/33.92  | CLOSE: (6) is inconsistent.
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1208 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  all_56_13 = e0 & op(e0, e2) = e0
% 197.06/33.92    (2)  all_56_13 = e2
% 197.06/33.92    (3)   ~ (e2 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | ALPHA: (1) implies:
% 197.06/33.92  |   (4)  all_56_13 = e0
% 197.06/33.92  | 
% 197.06/33.92  | COMBINE_EQS: (2), (4) imply:
% 197.06/33.92  |   (5)  e2 = e0
% 197.06/33.92  | 
% 197.06/33.92  | REDUCE: (3), (5) imply:
% 197.06/33.92  |   (6)  $false
% 197.06/33.92  | 
% 197.06/33.92  | CLOSE: (6) is inconsistent.
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1209 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.06/33.92         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.06/33.92    (2)   ~ (e3 = e2)
% 197.06/33.92    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.92    (4)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 197.06/33.92           all_57_9 & $i(all_57_9))
% 197.06/33.92    (5)  op(e2, e2) = all_4_2
% 197.06/33.92    (6)  all_56_7 = e1
% 197.06/33.92    (7)  op(e3, e3) = e1
% 197.06/33.92    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.06/33.92         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.06/33.92    (9)   ~ (all_4_2 = e3)
% 197.06/33.92    (10)   ~ (e1 = e0)
% 197.06/33.92    (11)   ~ (e2 = e1)
% 197.06/33.92    (12)  op(e0, e0) = e0
% 197.06/33.92    (13)  all_56_1 = e3
% 197.06/33.92    (14)  op(e0, e0) = e3
% 197.06/33.92    (15)  op(e2, e2) = e0
% 197.06/33.92    (16)   ~ (e3 = e1)
% 197.06/33.92    (17)   ~ (e2 = e0)
% 197.06/33.92    (18)   ~ (e3 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | BETA: splitting (4) gives:
% 197.06/33.92  | 
% 197.06/33.92  | Case 1:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (19)  all_57_10 = e0 & op(e3, e3) = e0
% 197.06/33.92  | | 
% 197.06/33.92  | | ALPHA: (19) implies:
% 197.06/33.92  | |   (20)  op(e3, e3) = e0
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (3), (7), (10), (20) are inconsistent by sub-proof #1937.
% 197.06/33.92  | | 
% 197.06/33.92  | Case 2:
% 197.06/33.92  | | 
% 197.06/33.92  | | 
% 197.06/33.92  | | GROUND_INST: instantiating (3) with e3, e0, e0, e0, simplifying with (12),
% 197.06/33.92  | |              (14) gives:
% 197.06/33.92  | |   (21)  e3 = e0
% 197.06/33.92  | | 
% 197.06/33.92  | | COMBINE_EQS: (13), (21) imply:
% 197.06/33.92  | |   (22)  all_56_1 = e0
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (11), (15), (16), (17), (18),
% 197.06/33.92  | |            (22) are inconsistent by sub-proof #1903.
% 197.06/33.92  | | 
% 197.06/33.92  | End of split
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1210 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.06/33.92         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.06/33.92    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.06/33.92         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.06/33.92    (3)   ~ (e3 = e2)
% 197.06/33.92    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.92    (5)  op(e3, e3) = e1
% 197.06/33.92    (6)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 197.06/33.92    (7)  all_56_2 = e3
% 197.06/33.92    (8)   ~ (e1 = e0)
% 197.06/33.92    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.06/33.92         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.06/33.92    (10)   ~ (e2 = e1)
% 197.06/33.92    (11)  all_56_1 = e3
% 197.06/33.92    (12)  op(e2, e2) = e0
% 197.06/33.92    (13)   ~ (e3 = e1)
% 197.06/33.92    (14)   ~ (e2 = e0)
% 197.06/33.92    (15)   ~ (e3 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | BETA: splitting (6) gives:
% 197.06/33.92  | 
% 197.06/33.92  | Case 1:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (16)  all_56_1 = e1 & op(e3, e2) = e1
% 197.06/33.92  | | 
% 197.06/33.92  | | ALPHA: (16) implies:
% 197.06/33.92  | |   (17)  all_56_1 = e1
% 197.06/33.92  | | 
% 197.06/33.92  | | COMBINE_EQS: (11), (17) imply:
% 197.06/33.92  | |   (18)  e3 = e1
% 197.06/33.92  | | 
% 197.06/33.92  | | COMBINE_EQS: (7), (18) imply:
% 197.06/33.92  | |   (19)  all_56_2 = e1
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (13), (14), (15), (19)
% 197.06/33.92  | |            are inconsistent by sub-proof #1844.
% 197.06/33.92  | | 
% 197.06/33.92  | Case 2:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (20)  all_56_3 = e1 & op(e2, e2) = e1
% 197.06/33.92  | | 
% 197.06/33.92  | | ALPHA: (20) implies:
% 197.06/33.92  | |   (21)  op(e2, e2) = e1
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (4), (8), (12), (21) are inconsistent by sub-proof #1909.
% 197.06/33.92  | | 
% 197.06/33.92  | End of split
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1211 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)   ~ (e3 = e2)
% 197.06/33.92    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.92    (3)  op(e3, e3) = e1
% 197.06/33.92    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 197.06/33.92    (5)  op(e3, e2) = e3
% 197.06/33.92    (6)   ~ (e2 = e1)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | BETA: splitting (4) gives:
% 197.06/33.92  | 
% 197.06/33.92  | Case 1:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 197.06/33.92  | | 
% 197.06/33.92  | | ALPHA: (7) implies:
% 197.06/33.92  | |   (8)  op(e3, e3) = e2
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1934.
% 197.06/33.92  | | 
% 197.06/33.92  | Case 2:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 197.06/33.92  | | 
% 197.06/33.92  | | ALPHA: (9) implies:
% 197.06/33.92  | |   (10)  op(e3, e2) = e2
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1927.
% 197.06/33.92  | | 
% 197.06/33.92  | End of split
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1212 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)   ~ (all_52_13 = e3)
% 197.06/33.92    (2)   ~ (e3 = e2)
% 197.06/33.92    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.92    (4)  op(e2, e2) = all_4_2
% 197.06/33.92    (5)  op(e2, e0) = all_52_13
% 197.06/33.92    (6)  all_56_15 = e3
% 197.06/33.92    (7)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 197.06/33.92           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.06/33.92             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.06/33.92    (8)  all_56_15 = e0 & op(e0, e0) = e0
% 197.06/33.92    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.06/33.92         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.06/33.92    (10)   ~ (all_4_2 = e3)
% 197.06/33.92    (11)  all_56_2 = e3
% 197.06/33.92    (12)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.06/33.92          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.06/33.92    (13)   ~ (e1 = e0)
% 197.06/33.92    (14)  all_36_2 = e0
% 197.06/33.92    (15)   ~ (e2 = e1)
% 197.06/33.92    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.06/33.92          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.06/33.92    (17)  op(e2, e2) = e0
% 197.06/33.92    (18)   ~ (e3 = e1)
% 197.06/33.92    (19)   ~ (e2 = e0)
% 197.06/33.92    (20)   ~ (e3 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | ALPHA: (8) implies:
% 197.06/33.92  |   (21)  all_56_15 = e0
% 197.06/33.92  | 
% 197.06/33.92  | COMBINE_EQS: (6), (21) imply:
% 197.06/33.92  |   (22)  e3 = e0
% 197.06/33.92  | 
% 197.06/33.92  | COMBINE_EQS: (11), (22) imply:
% 197.06/33.92  |   (23)  all_56_2 = e0
% 197.06/33.92  | 
% 197.06/33.92  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (12), (13), (14), (15),
% 197.06/33.92  |            (16), (17), (18), (19), (20), (23) are inconsistent by sub-proof
% 197.06/33.92  |            #1213.
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1213 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)   ~ (all_52_13 = e3)
% 197.06/33.92    (2)   ~ (e3 = e2)
% 197.06/33.92    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.92    (4)  op(e2, e2) = all_4_2
% 197.06/33.92    (5)  op(e2, e0) = all_52_13
% 197.06/33.92    (6)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 197.06/33.92           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.06/33.92             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.06/33.92    (7)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.06/33.92         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.06/33.92    (8)   ~ (all_4_2 = e3)
% 197.06/33.92    (9)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.06/33.92         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.06/33.92    (10)   ~ (e1 = e0)
% 197.06/33.92    (11)  all_36_2 = e0
% 197.06/33.92    (12)   ~ (e2 = e1)
% 197.06/33.92    (13)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.06/33.92          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.06/33.92    (14)  all_56_2 = e0
% 197.06/33.92    (15)  op(e2, e2) = e0
% 197.06/33.92    (16)   ~ (e3 = e1)
% 197.06/33.92    (17)   ~ (e2 = e0)
% 197.06/33.92    (18)   ~ (e3 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | BETA: splitting (7) gives:
% 197.06/33.92  | 
% 197.06/33.92  | Case 1:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (19)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.06/33.92  | |           e3)
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (3), (4), (8), (14), (18), (19) are inconsistent by sub-proof
% 197.06/33.92  | |            #1710.
% 197.06/33.92  | | 
% 197.06/33.92  | Case 2:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (20)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 197.06/33.92  | |           e3)
% 197.06/33.92  | | 
% 197.06/33.92  | | BETA: splitting (20) gives:
% 197.06/33.92  | | 
% 197.06/33.92  | | Case 1:
% 197.06/33.92  | | | 
% 197.06/33.92  | | |   (21)  all_56_5 = e3 & op(e2, e1) = e3
% 197.06/33.92  | | | 
% 197.06/33.92  | | | ALPHA: (21) implies:
% 197.06/33.92  | | |   (22)  all_56_5 = e3
% 197.06/33.92  | | | 
% 197.06/33.92  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 197.06/33.92  | | |            (14), (15), (16), (17), (18), (22) are inconsistent by
% 197.06/33.92  | | |            sub-proof #1701.
% 197.06/33.92  | | | 
% 197.06/33.92  | | Case 2:
% 197.06/33.92  | | | 
% 197.06/33.92  | | |   (23)  all_56_10 = e3 & op(e2, e0) = e3
% 197.06/33.92  | | | 
% 197.06/33.92  | | | REF_CLOSE: (1), (3), (5), (23) are inconsistent by sub-proof #1456.
% 197.06/33.92  | | | 
% 197.06/33.92  | | End of split
% 197.06/33.92  | | 
% 197.06/33.92  | End of split
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1214 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.06/33.92             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.06/33.92           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.06/33.92               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.06/33.92             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.92         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.06/33.92             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.06/33.92           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.06/33.92               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.06/33.92             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.06/33.92    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.92    (3)  op(e0, e0) = e3
% 197.06/33.92    (4)   ~ (e3 = e1)
% 197.06/33.92    (5)  op(e1, e1) = e3
% 197.06/33.92    (6)   ~ (e3 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | BETA: splitting (1) gives:
% 197.06/33.92  | 
% 197.06/33.92  | Case 1:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 197.06/33.92  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.06/33.92  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.06/33.92  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.06/33.92  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.06/33.92  | |              e1) = all_57_8 & $i(all_57_8)))
% 197.06/33.92  | | 
% 197.06/33.92  | | ALPHA: (7) implies:
% 197.06/33.92  | |   (8)  op(e1, e1) = e1
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1978.
% 197.06/33.92  | | 
% 197.06/33.92  | Case 2:
% 197.06/33.92  | | 
% 197.06/33.92  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 197.06/33.92  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.06/33.92  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.06/33.92  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 197.06/33.92  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.06/33.92  | |              e0) = all_57_13 & $i(all_57_13)))
% 197.06/33.92  | | 
% 197.06/33.92  | | ALPHA: (9) implies:
% 197.06/33.92  | |   (10)  op(e0, e0) = e0
% 197.06/33.92  | | 
% 197.06/33.92  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1947.
% 197.06/33.92  | | 
% 197.06/33.92  | End of split
% 197.06/33.92  | 
% 197.06/33.92  End of proof
% 197.06/33.92  
% 197.06/33.92  Sub-proof #1215 shows that the following formulas are inconsistent:
% 197.06/33.92  ----------------------------------------------------------------
% 197.06/33.92    (1)  op(e1, e3) = all_52_2
% 197.06/33.92    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.06/33.92         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.06/33.92    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.06/33.92         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.06/33.92    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.06/33.92         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.06/33.92    (5)   ~ (e3 = e2)
% 197.06/33.92    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.92    (7)  op(e3, e3) = e1
% 197.06/33.92    (8)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.06/33.92             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.92           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.06/33.92               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.06/33.92             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.06/33.92         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.06/33.92             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.92           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.06/33.92               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.06/33.92             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.06/33.92    (9)  op(e3, e2) = e3
% 197.06/33.92    (10)  all_56_2 = e3
% 197.06/33.92    (11)   ~ (e1 = e0)
% 197.06/33.92    (12)   ~ (e2 = e1)
% 197.06/33.92    (13)   ~ (all_52_2 = e1)
% 197.06/33.92    (14)   ~ (e3 = e1)
% 197.06/33.92    (15)   ~ (e2 = e0)
% 197.06/33.92    (16)   ~ (e3 = e0)
% 197.06/33.92  
% 197.06/33.92  Begin of proof
% 197.06/33.92  | 
% 197.06/33.92  | BETA: splitting (8) gives:
% 197.06/33.92  | 
% 197.06/33.92  | Case 1:
% 197.06/33.92  | | 
% 197.06/33.93  | |   (17)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 197.06/33.93  | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.06/33.93  | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.06/33.93  | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.06/33.93  | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.06/33.93  | |               e3) = all_57_2 & $i(all_57_2)))
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (17) implies:
% 197.06/33.93  | |   (18)  op(e3, e3) = e3
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10), (11), (12), (13), (14), (15),
% 197.06/33.93  | |            (16), (18) are inconsistent by sub-proof #1216.
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (19)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 197.06/33.93  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.06/33.93  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.06/33.93  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.06/33.93  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.06/33.93  | |               e2) = all_57_5 & $i(all_57_5)))
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (19) implies:
% 197.06/33.93  | |   (20)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 197.06/33.93  | |             e2) = all_57_3 & $i(all_57_3))
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (6), (7), (9), (12), (20) are inconsistent by sub-proof #1888.
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1216 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  op(e1, e3) = all_52_2
% 197.06/33.93    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.06/33.93         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.06/33.93    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.06/33.93         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.06/33.93    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.06/33.93         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.06/33.93    (5)   ~ (e3 = e2)
% 197.06/33.93    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (7)  op(e3, e3) = e3
% 197.06/33.93    (8)  all_56_2 = e3
% 197.06/33.93    (9)   ~ (e1 = e0)
% 197.06/33.93    (10)   ~ (e2 = e1)
% 197.06/33.93    (11)   ~ (all_52_2 = e1)
% 197.06/33.93    (12)   ~ (e3 = e1)
% 197.06/33.93    (13)   ~ (e2 = e0)
% 197.06/33.93    (14)   ~ (e3 = e0)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (4) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 197.06/33.93  | |           e1)
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (6), (7), (8), (12), (15) are inconsistent by sub-proof #1725.
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (16)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 197.06/33.93  | |           e1)
% 197.06/33.93  | | 
% 197.06/33.93  | | BETA: splitting (16) gives:
% 197.06/33.93  | | 
% 197.06/33.93  | | Case 1:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (17)  all_56_6 = e1 & op(e1, e3) = e1
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (17) implies:
% 197.06/33.93  | | |   (18)  op(e1, e3) = e1
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (1), (6), (11), (18) are inconsistent by sub-proof #1974.
% 197.06/33.93  | | | 
% 197.06/33.93  | | Case 2:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (19)  all_56_12 = e1 & op(e0, e3) = e1
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (19) implies:
% 197.06/33.93  | | |   (20)  all_56_12 = e1
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 197.06/33.93  | | |            (20) are inconsistent by sub-proof #1217.
% 197.06/33.93  | | | 
% 197.06/33.93  | | End of split
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1217 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.06/33.93         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.06/33.93    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.06/33.93         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.06/33.93    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.06/33.93         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.06/33.93    (4)   ~ (e3 = e2)
% 197.06/33.93    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (6)  all_56_12 = e1
% 197.06/33.93    (7)  op(e3, e3) = e3
% 197.06/33.93    (8)  all_56_2 = e3
% 197.06/33.93    (9)   ~ (e1 = e0)
% 197.06/33.93    (10)   ~ (e2 = e1)
% 197.06/33.93    (11)   ~ (e3 = e1)
% 197.06/33.93    (12)   ~ (e2 = e0)
% 197.06/33.93    (13)   ~ (e3 = e0)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (1) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 197.06/33.93  | |           e2)
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (4), (5), (7), (8), (14) are inconsistent by sub-proof #1727.
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 197.06/33.93  | |           e2)
% 197.06/33.93  | | 
% 197.06/33.93  | | BETA: splitting (15) gives:
% 197.06/33.93  | | 
% 197.06/33.93  | | Case 1:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (16)  all_56_6 = e2 & op(e1, e3) = e2
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (16) implies:
% 197.06/33.93  | | |   (17)  all_56_6 = e2
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (10), (11), (12), (13), (17) are
% 197.06/33.93  | | |            inconsistent by sub-proof #1218.
% 197.06/33.93  | | | 
% 197.06/33.93  | | Case 2:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (18)  all_56_12 = e2 & op(e0, e3) = e2
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (18) implies:
% 197.06/33.93  | | |   (19)  all_56_12 = e2
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (6), (10), (19) are inconsistent by sub-proof #1622.
% 197.06/33.93  | | | 
% 197.06/33.93  | | End of split
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1218 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.06/33.93         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.06/33.93    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.06/33.93         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.06/33.93    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (4)  all_56_6 = e2
% 197.06/33.93    (5)  op(e3, e3) = e3
% 197.06/33.93    (6)  all_56_2 = e3
% 197.06/33.93    (7)   ~ (e1 = e0)
% 197.06/33.93    (8)   ~ (e2 = e1)
% 197.06/33.93    (9)   ~ (e3 = e1)
% 197.06/33.93    (10)   ~ (e2 = e0)
% 197.06/33.93    (11)   ~ (e3 = e0)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (1) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 197.06/33.93  | |           e0)
% 197.06/33.93  | | 
% 197.06/33.93  | | BETA: splitting (12) gives:
% 197.06/33.93  | | 
% 197.06/33.93  | | Case 1:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (13)  all_56_0 = e0 & op(e3, e3) = e0
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (13) implies:
% 197.06/33.93  | | |   (14)  op(e3, e3) = e0
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (3), (5), (11), (14) are inconsistent by sub-proof #1961.
% 197.06/33.93  | | | 
% 197.06/33.93  | | Case 2:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (15)  all_56_2 = e0 & op(e2, e3) = e0
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (15) implies:
% 197.06/33.93  | | |   (16)  all_56_2 = e0
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (6), (11), (16) are inconsistent by sub-proof #1711.
% 197.06/33.93  | | | 
% 197.06/33.93  | | End of split
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 197.06/33.93  | |           e0)
% 197.06/33.93  | | 
% 197.06/33.93  | | BETA: splitting (17) gives:
% 197.06/33.93  | | 
% 197.06/33.93  | | Case 1:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (18)  all_56_6 = e0 & op(e1, e3) = e0
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (18) implies:
% 197.06/33.93  | | |   (19)  all_56_6 = e0
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (4), (10), (19) are inconsistent by sub-proof #1849.
% 197.06/33.93  | | | 
% 197.06/33.93  | | Case 2:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (20)  all_56_12 = e0 & op(e0, e3) = e0
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (20) implies:
% 197.06/33.93  | | |   (21)  all_56_12 = e0
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (21) are inconsistent
% 197.06/33.93  | | |            by sub-proof #1722.
% 197.06/33.93  | | | 
% 197.06/33.93  | | End of split
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1219 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (2)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.06/33.93           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.06/33.93           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.06/33.93                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 197.06/33.93               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.06/33.93               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 197.06/33.93           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 197.06/33.93             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.06/33.93               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.06/33.93           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.06/33.93               = all_57_7 & $i(all_57_7))))
% 197.06/33.93    (3)  op(e0, e0) = e3
% 197.06/33.93    (4)   ~ (e3 = e1)
% 197.06/33.93    (5)  op(e1, e1) = e3
% 197.06/33.93    (6)   ~ (e3 = e0)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (2) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (7)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.06/33.93  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.06/33.93  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.06/33.93  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 197.06/33.93  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.06/33.93  | |            all_57_11 & $i(all_57_11)))
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (7) implies:
% 197.06/33.93  | |   (8)  op(e1, e1) = e0
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1824.
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (9)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 197.06/33.93  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.06/33.93  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.06/33.93  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.06/33.93  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 197.06/33.93  | |            & $i(all_57_7)))
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (9) implies:
% 197.06/33.93  | |   (10)  op(e0, e0) = e1
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1392.
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1220 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.06/33.93    (2)   ~ (all_4_2 = e0)
% 197.06/33.93    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (4)  op(e2, e2) = all_4_2
% 197.06/33.93    (5)   ~ (all_4_2 = e1)
% 197.06/33.93    (6)   ~ (all_4_2 = e3)
% 197.06/33.93    (7)  all_54_5 = all_4_2
% 197.06/33.93    (8)  op(e2, e2) = e0
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (1) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (9)  all_54_5 = e3
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (6), (7), (9) are inconsistent by sub-proof #1948.
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (10)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (10) are inconsistent by sub-proof
% 197.06/33.93  | |            #1938.
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1221 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.06/33.93             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.06/33.93           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 197.06/33.93           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.06/33.93           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.06/33.93           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 197.06/33.93    (3)   ~ (all_52_9 = e2)
% 197.06/33.93    (4)  op(e2, e1) = all_52_9
% 197.06/33.93    (5)  op(e0, e0) = e3
% 197.06/33.93    (6)   ~ (e3 = e1)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (2) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.06/33.93  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.06/33.93  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (7) implies:
% 197.06/33.93  | |   (8)  op(e0, e0) = e1
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1392.
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.06/33.93  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.06/33.93  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (9) implies:
% 197.06/33.93  | |   (10)  op(e2, e1) = e2
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1942.
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1222 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.06/33.93             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.06/33.93           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 197.06/33.93           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.06/33.93           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 197.06/33.93           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 197.06/33.93    (2)   ~ (e3 = e2)
% 197.06/33.93    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (4)  op(e0, e0) = e3
% 197.06/33.93    (5)  op(e1, e1) = e3
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (1) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (6)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.06/33.93  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.06/33.93  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (6) implies:
% 197.06/33.93  | |   (7)  op(e1, e1) = e2
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #1777.
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (8)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.06/33.93  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.06/33.93  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (8) implies:
% 197.06/33.93  | |   (9)  op(e0, e0) = e2
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1692.
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1223 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.06/33.93             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.06/33.93           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.06/33.93           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.06/33.93           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.06/33.93           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.06/33.93    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (3)  op(e2, e2) = all_4_2
% 197.06/33.93    (4)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.06/33.93           all_57_0 & $i(all_57_0))
% 197.06/33.93    (5)   ~ (all_4_2 = e3)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (1) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (6)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.06/33.93  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.06/33.93  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (6) implies:
% 197.06/33.93  | |   (7)  all_57_0 = e2
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (2), (3), (4), (5), (7) are inconsistent by sub-proof #1664.
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (8)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 197.06/33.93  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.06/33.93  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (8) implies:
% 197.06/33.93  | |   (9)  all_57_0 = e2
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (2), (3), (4), (5), (9) are inconsistent by sub-proof #1664.
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1224 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  all_54_0 = all_6_2
% 197.06/33.93    (2)  all_54_0 = e2
% 197.06/33.93    (3)   ~ (all_6_2 = e2)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | COMBINE_EQS: (1), (2) imply:
% 197.06/33.93  |   (4)  all_6_2 = e2
% 197.06/33.93  | 
% 197.06/33.93  | SIMP: (4) implies:
% 197.06/33.93  |   (5)  all_6_2 = e2
% 197.06/33.93  | 
% 197.06/33.93  | REDUCE: (3), (5) imply:
% 197.06/33.93  |   (6)  $false
% 197.06/33.93  | 
% 197.06/33.93  | CLOSE: (6) is inconsistent.
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1225 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  all_54_0 = all_6_2
% 197.06/33.93    (2)  all_54_0 = e3
% 197.06/33.93    (3)   ~ (all_6_2 = e3)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | COMBINE_EQS: (1), (2) imply:
% 197.06/33.93  |   (4)  all_6_2 = e3
% 197.06/33.93  | 
% 197.06/33.93  | SIMP: (4) implies:
% 197.06/33.93  |   (5)  all_6_2 = e3
% 197.06/33.93  | 
% 197.06/33.93  | REDUCE: (3), (5) imply:
% 197.06/33.93  |   (6)  $false
% 197.06/33.93  | 
% 197.06/33.93  | CLOSE: (6) is inconsistent.
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1226 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  all_56_12 = e3 & op(e0, e3) = e3
% 197.06/33.93    (2)  all_56_12 = e2
% 197.06/33.93    (3)   ~ (e3 = e2)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | ALPHA: (1) implies:
% 197.06/33.93  |   (4)  all_56_12 = e3
% 197.06/33.93  | 
% 197.06/33.93  | COMBINE_EQS: (2), (4) imply:
% 197.06/33.93  |   (5)  e3 = e2
% 197.06/33.93  | 
% 197.06/33.93  | REDUCE: (3), (5) imply:
% 197.06/33.93  |   (6)  $false
% 197.06/33.93  | 
% 197.06/33.93  | CLOSE: (6) is inconsistent.
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1227 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  all_56_11 = e2
% 197.06/33.93    (2)  all_56_11 = e0
% 197.06/33.93    (3)   ~ (e2 = e0)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | COMBINE_EQS: (1), (2) imply:
% 197.06/33.93  |   (4)  e2 = e0
% 197.06/33.93  | 
% 197.06/33.93  | SIMP: (4) implies:
% 197.06/33.93  |   (5)  e2 = e0
% 197.06/33.93  | 
% 197.06/33.93  | REDUCE: (3), (5) imply:
% 197.06/33.93  |   (6)  $false
% 197.06/33.93  | 
% 197.06/33.93  | CLOSE: (6) is inconsistent.
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1228 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.06/33.93         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.06/33.93    (2)   ~ (all_52_3 = e1)
% 197.06/33.93    (3)   ~ (e3 = e2)
% 197.06/33.93    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.06/33.93         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.06/33.93    (6)  op(e0, e3) = all_52_3
% 197.06/33.93    (7)  all_56_14 = e2
% 197.06/33.93    (8)  op(e0, e1) = all_52_11
% 197.06/33.93    (9)   ~ (e1 = e0)
% 197.06/33.93    (10)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.06/33.93              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.06/33.93                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.06/33.93                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.06/33.93    (11)   ~ (e2 = e1)
% 197.06/33.93    (12)  op(e0, e0) = e2
% 197.06/33.93    (13)   ~ (e3 = e1)
% 197.06/33.93    (14)   ~ (e2 = e0)
% 197.06/33.93    (15)   ~ (e3 = e0)
% 197.06/33.93    (16)   ~ (all_52_3 = all_52_11)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (5) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (17)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.06/33.93  | |           e1)
% 197.06/33.93  | | 
% 197.06/33.93  | | BETA: splitting (17) gives:
% 197.06/33.93  | | 
% 197.06/33.93  | | Case 1:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (18)  all_56_12 = e1 & op(e0, e3) = e1
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (18) implies:
% 197.06/33.93  | | |   (19)  op(e0, e3) = e1
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (2), (4), (6), (19) are inconsistent by sub-proof #1950.
% 197.06/33.93  | | | 
% 197.06/33.93  | | Case 2:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (20)  all_56_13 = e1 & op(e0, e2) = e1
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (20) implies:
% 197.06/33.93  | | |   (21)  all_56_13 = e1
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 197.06/33.93  | | |            (14), (15), (16), (21) are inconsistent by sub-proof #1229.
% 197.06/33.93  | | | 
% 197.06/33.93  | | End of split
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (22)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.06/33.93  | |           e1)
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (4), (7), (11), (12), (22) are inconsistent by sub-proof #1423.
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1229 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.06/33.93         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.06/33.93    (2)   ~ (e3 = e2)
% 197.06/33.93    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (4)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.06/33.93         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.06/33.93    (5)  op(e0, e3) = all_52_3
% 197.06/33.93    (6)  all_56_14 = e2
% 197.06/33.93    (7)  op(e0, e1) = all_52_11
% 197.06/33.93    (8)   ~ (e1 = e0)
% 197.06/33.93    (9)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.06/33.93             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 197.06/33.93               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.06/33.93               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.06/33.93    (10)   ~ (e2 = e1)
% 197.06/33.93    (11)  op(e0, e0) = e2
% 197.06/33.93    (12)   ~ (e3 = e1)
% 197.06/33.93    (13)   ~ (e2 = e0)
% 197.06/33.93    (14)   ~ (e3 = e0)
% 197.06/33.93    (15)   ~ (all_52_3 = all_52_11)
% 197.06/33.93    (16)  all_56_13 = e1
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (9) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (17)  all_56_15 = e0 & op(e0, e0) = e0
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (17) implies:
% 197.06/33.93  | |   (18)  op(e0, e0) = e0
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (3), (11), (13), (18) are inconsistent by sub-proof #1945.
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (19)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 197.06/33.93  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 197.06/33.93  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.06/33.93  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 197.06/33.93  | | 
% 197.06/33.93  | | ALPHA: (19) implies:
% 197.06/33.93  | |   (20)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.06/33.93  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.06/33.93  | | 
% 197.06/33.93  | | BETA: splitting (20) gives:
% 197.06/33.93  | | 
% 197.06/33.93  | | Case 1:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (21)  all_56_12 = e0 & op(e0, e3) = e0
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (21) implies:
% 197.06/33.93  | | |   (22)  all_56_12 = e0
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (10), (11), (12), (13), (14),
% 197.06/33.93  | | |            (20), (22) are inconsistent by sub-proof #1230.
% 197.06/33.93  | | | 
% 197.06/33.93  | | Case 2:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (23)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 197.06/33.93  | | |           = e0)
% 197.06/33.93  | | | 
% 197.06/33.93  | | | BETA: splitting (23) gives:
% 197.06/33.93  | | | 
% 197.06/33.93  | | | Case 1:
% 197.06/33.93  | | | | 
% 197.06/33.93  | | | |   (24)  all_56_13 = e0 & op(e0, e2) = e0
% 197.06/33.93  | | | | 
% 197.06/33.93  | | | | REF_CLOSE: (8), (16), (24) are inconsistent by sub-proof #1867.
% 197.06/33.93  | | | | 
% 197.06/33.93  | | | Case 2:
% 197.06/33.93  | | | | 
% 197.06/33.93  | | | |   (25)  all_56_14 = e0 & op(e0, e1) = e0
% 197.06/33.93  | | | | 
% 197.06/33.93  | | | | ALPHA: (25) implies:
% 197.06/33.93  | | | |   (26)  op(e0, e1) = e0
% 197.06/33.93  | | | | 
% 197.06/33.93  | | | | REF_CLOSE: (3), (5), (6), (7), (8), (13), (15), (16), (20), (26) are
% 197.06/33.93  | | | |            inconsistent by sub-proof #1425.
% 197.06/33.93  | | | | 
% 197.06/33.93  | | | End of split
% 197.06/33.93  | | | 
% 197.06/33.93  | | End of split
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1230 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.06/33.93         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.06/33.93    (2)   ~ (e3 = e2)
% 197.06/33.93    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.93    (4)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.06/33.93         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.06/33.93    (5)  all_56_14 = e2
% 197.06/33.93    (6)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.06/33.93         (all_56_14 = e0 & op(e0, e1) = e0)
% 197.06/33.93    (7)   ~ (e1 = e0)
% 197.06/33.93    (8)   ~ (e2 = e1)
% 197.06/33.93    (9)  all_56_12 = e0
% 197.06/33.93    (10)  op(e0, e0) = e2
% 197.06/33.93    (11)   ~ (e3 = e1)
% 197.06/33.93    (12)   ~ (e2 = e0)
% 197.06/33.93    (13)   ~ (e3 = e0)
% 197.06/33.93  
% 197.06/33.93  Begin of proof
% 197.06/33.93  | 
% 197.06/33.93  | BETA: splitting (1) gives:
% 197.06/33.93  | 
% 197.06/33.93  | Case 1:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (14)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 197.06/33.93  | |           e3)
% 197.06/33.93  | | 
% 197.06/33.93  | | BETA: splitting (14) gives:
% 197.06/33.93  | | 
% 197.06/33.93  | | Case 1:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (15)  all_56_12 = e3 & op(e0, e3) = e3
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (15) implies:
% 197.06/33.93  | | |   (16)  all_56_12 = e3
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (9), (13), (16) are inconsistent by sub-proof #1700.
% 197.06/33.93  | | | 
% 197.06/33.93  | | Case 2:
% 197.06/33.93  | | | 
% 197.06/33.93  | | |   (17)  all_56_13 = e3 & op(e0, e2) = e3
% 197.06/33.93  | | | 
% 197.06/33.93  | | | ALPHA: (17) implies:
% 197.06/33.93  | | |   (18)  all_56_13 = e3
% 197.06/33.93  | | | 
% 197.06/33.93  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (11), (12), (13), (18) are
% 197.06/33.93  | | |            inconsistent by sub-proof #1693.
% 197.06/33.93  | | | 
% 197.06/33.93  | | End of split
% 197.06/33.93  | | 
% 197.06/33.93  | Case 2:
% 197.06/33.93  | | 
% 197.06/33.93  | |   (19)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 197.06/33.93  | |           e3)
% 197.06/33.93  | | 
% 197.06/33.93  | | REF_CLOSE: (2), (3), (5), (10), (19) are inconsistent by sub-proof #1691.
% 197.06/33.93  | | 
% 197.06/33.93  | End of split
% 197.06/33.93  | 
% 197.06/33.93  End of proof
% 197.06/33.93  
% 197.06/33.93  Sub-proof #1231 shows that the following formulas are inconsistent:
% 197.06/33.93  ----------------------------------------------------------------
% 197.06/33.93    (1)  all_54_4 = all_52_1
% 197.06/33.93    (2)   ~ (all_52_3 = e1)
% 197.06/33.93    (3)  op(e1, e2) = all_52_6
% 197.06/33.93    (4)   ~ (all_52_3 = e2)
% 197.06/33.93    (5)  all_54_6 = all_52_9
% 197.06/33.93    (6)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.06/33.93         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.06/33.94    (7)   ~ (all_52_1 = all_52_9)
% 197.06/33.94    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.94    (9)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 197.06/33.94    (10)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.06/33.94          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.06/33.94    (11)   ~ (all_52_9 = e3)
% 197.06/33.94    (12)  all_54_12 = all_52_3
% 197.06/33.94    (13)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) =
% 197.06/33.94            all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1,
% 197.06/33.94              e3) = all_20_1 & $i(all_20_1))
% 197.06/33.94    (14)   ~ (all_52_14 = e3)
% 197.06/33.94    (15)  op(e1, e0) = all_52_14
% 197.06/33.94    (16)  op(e3, e1) = e2
% 197.06/33.94    (17)  ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 & op(e3, e1) =
% 197.06/33.94            all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3,
% 197.06/33.94              e1) = all_26_1 & $i(all_26_1))
% 197.06/33.94    (18)  op(e1, e3) = e2
% 197.06/33.94    (19)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 & op(e3, e1) =
% 197.06/33.94            all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3,
% 197.06/33.94              e1) = all_42_1 & $i(all_42_1))
% 197.06/33.94    (20)  all_56_6 = e2
% 197.06/33.94    (21)   ~ (all_52_9 = e2)
% 197.06/33.94    (22)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.06/33.94    (23)   ~ (all_52_8 = e1)
% 197.06/33.94    (24)  op(e0, e1) = all_52_11
% 197.06/33.94    (25)  op(e1, e3) = all_30_1
% 197.06/33.94    (26)   ~ (all_52_1 = e1)
% 197.06/33.94    (27)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.06/33.94    (28)   ~ (all_52_6 = e3)
% 197.06/33.94    (29)  all_56_4 = e2
% 197.06/33.94    (30)   ~ (all_52_1 = e2)
% 197.06/33.94    (31)  op(e2, e1) = all_52_9
% 197.06/33.94    (32)   ~ (all_52_1 = all_52_3)
% 197.06/33.94    (33)  op(e3, e1) = all_52_8
% 197.06/33.94    (34)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.06/33.94          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.06/33.94    (35)  op(e1, e1) = e3
% 197.06/33.94    (36)  op(e2, e3) = all_52_1
% 197.06/33.94    (37)   ~ (all_52_3 = all_52_11)
% 197.06/33.94    (38)   ~ (all_52_9 = all_52_11)
% 197.06/33.94  
% 197.06/33.94  Begin of proof
% 197.06/33.94  | 
% 197.06/33.94  | BETA: splitting (19) gives:
% 197.06/33.94  | 
% 197.06/33.94  | Case 1:
% 197.06/33.94  | | 
% 197.06/33.94  | |   (39)   ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 & op(e3, e1) =
% 197.06/33.94  | |         all_42_1 & $i(all_42_0) & $i(all_42_1)
% 197.06/33.94  | | 
% 197.06/33.94  | | ALPHA: (39) implies:
% 197.06/33.94  | |   (40)   ~ (all_42_0 = e2)
% 197.06/33.94  | |   (41)  op(e3, e1) = all_42_1
% 197.06/33.94  | |   (42)  op(all_42_1, e3) = all_42_0
% 197.06/33.94  | | 
% 197.06/33.94  | | BETA: splitting (17) gives:
% 197.06/33.94  | | 
% 197.06/33.94  | | Case 1:
% 197.06/33.94  | | | 
% 197.06/33.94  | | |   (43)   ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 & op(e3, e1) =
% 197.06/33.94  | | |         all_26_1 & $i(all_26_0) & $i(all_26_1)
% 197.06/33.94  | | | 
% 197.06/33.94  | | | ALPHA: (43) implies:
% 197.06/33.94  | | |   (44)   ~ (all_26_0 = e0)
% 197.06/33.94  | | |   (45)  op(e3, e1) = all_26_1
% 197.06/33.94  | | |   (46)  op(all_26_1, e3) = all_26_0
% 197.06/33.94  | | | 
% 197.06/33.94  | | | BETA: splitting (13) gives:
% 197.06/33.94  | | | 
% 197.06/33.94  | | | Case 1:
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | |   (47)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) =
% 197.06/33.94  | | | |         all_20_1 & $i(all_20_0) & $i(all_20_1)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | ALPHA: (47) implies:
% 197.06/33.94  | | | |   (48)   ~ (all_20_0 = e0)
% 197.06/33.94  | | | |   (49)  op(e1, e3) = all_20_1
% 197.06/33.94  | | | |   (50)  op(all_20_1, e1) = all_20_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with e2, all_30_1, e3, e1, simplifying
% 197.06/33.94  | | | |              with (18), (25) gives:
% 197.06/33.94  | | | |   (51)  all_30_1 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with all_20_1, all_30_1, e3, e1,
% 197.06/33.94  | | | |              simplifying with (25), (49) gives:
% 197.06/33.94  | | | |   (52)  all_30_1 = all_20_1
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with e2, all_42_1, e1, e3, simplifying
% 197.06/33.94  | | | |              with (16), (41) gives:
% 197.06/33.94  | | | |   (53)  all_42_1 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with all_26_1, all_42_1, e1, e3,
% 197.06/33.94  | | | |              simplifying with (41), (45) gives:
% 197.06/33.94  | | | |   (54)  all_42_1 = all_26_1
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | COMBINE_EQS: (53), (54) imply:
% 197.06/33.94  | | | |   (55)  all_26_1 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | SIMP: (55) implies:
% 197.06/33.94  | | | |   (56)  all_26_1 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | COMBINE_EQS: (51), (52) imply:
% 197.06/33.94  | | | |   (57)  all_20_1 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (42), (53) imply:
% 197.06/33.94  | | | |   (58)  op(e2, e3) = all_42_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (46), (56) imply:
% 197.06/33.94  | | | |   (59)  op(e2, e3) = all_26_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (50), (57) imply:
% 197.06/33.94  | | | |   (60)  op(e2, e1) = all_20_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with all_52_9, all_20_0, e1, e2,
% 197.06/33.94  | | | |              simplifying with (31), (60) gives:
% 197.06/33.94  | | | |   (61)  all_52_9 = all_20_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with all_52_1, all_26_0, e3, e2,
% 197.06/33.94  | | | |              simplifying with (36), (59) gives:
% 197.06/33.94  | | | |   (62)  all_52_1 = all_26_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with all_52_1, all_42_0, e3, e2,
% 197.06/33.94  | | | |              simplifying with (36), (58) gives:
% 197.06/33.94  | | | |   (63)  all_52_1 = all_42_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | COMBINE_EQS: (62), (63) imply:
% 197.06/33.94  | | | |   (64)  all_42_0 = all_26_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | COMBINE_EQS: (5), (61) imply:
% 197.06/33.94  | | | |   (65)  all_54_6 = all_20_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | COMBINE_EQS: (1), (62) imply:
% 197.06/33.94  | | | |   (66)  all_54_4 = all_26_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (32), (62) imply:
% 197.06/33.94  | | | |   (67)   ~ (all_52_3 = all_26_0)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | SIMP: (67) implies:
% 197.06/33.94  | | | |   (68)   ~ (all_52_3 = all_26_0)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (7), (61), (62) imply:
% 197.06/33.94  | | | |   (69)   ~ (all_26_0 = all_20_0)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (26), (62) imply:
% 197.06/33.94  | | | |   (70)   ~ (all_26_0 = e1)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (38), (61) imply:
% 197.06/33.94  | | | |   (71)   ~ (all_52_11 = all_20_0)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | SIMP: (71) implies:
% 197.06/33.94  | | | |   (72)   ~ (all_52_11 = all_20_0)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (11), (61) imply:
% 197.06/33.94  | | | |   (73)   ~ (all_20_0 = e3)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (21), (61) imply:
% 197.06/33.94  | | | |   (74)   ~ (all_20_0 = e2)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (40), (64) imply:
% 197.06/33.94  | | | |   (75)   ~ (all_26_0 = e2)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | BETA: splitting (22) gives:
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | Case 1:
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | |   (76)  all_54_6 = e3
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | REF_CLOSE: (65), (73), (76) are inconsistent by sub-proof #1237.
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | Case 2:
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | |   (77)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | REF_CLOSE: (2), (3), (4), (6), (8), (9), (10), (12), (14), (15), (20),
% 197.06/33.94  | | | | |            (23), (24), (27), (28), (29), (33), (34), (35), (37), (44),
% 197.06/33.94  | | | | |            (48), (65), (66), (68), (69), (70), (72), (74), (75), (77)
% 197.06/33.94  | | | | |            are inconsistent by sub-proof #1232.
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | End of split
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | Case 2:
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | |   (78)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 & $i(all_20_1)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | ALPHA: (78) implies:
% 197.06/33.94  | | | |   (79)   ~ (all_20_1 = e2)
% 197.06/33.94  | | | |   (80)  op(e1, e3) = all_20_1
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REF_CLOSE: (8), (18), (25), (79), (80) are inconsistent by sub-proof
% 197.06/33.94  | | | |            #1267.
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | End of split
% 197.06/33.94  | | | 
% 197.06/33.94  | | Case 2:
% 197.06/33.94  | | | 
% 197.06/33.94  | | |   (81)   ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 & $i(all_26_1)
% 197.06/33.94  | | | 
% 197.06/33.94  | | | ALPHA: (81) implies:
% 197.06/33.94  | | |   (82)   ~ (all_26_1 = e2)
% 197.06/33.94  | | |   (83)  op(e3, e1) = all_26_1
% 197.06/33.94  | | | 
% 197.06/33.94  | | | REF_CLOSE: (8), (16), (41), (82), (83) are inconsistent by sub-proof
% 197.06/33.94  | | |            #1427.
% 197.06/33.94  | | | 
% 197.06/33.94  | | End of split
% 197.06/33.94  | | 
% 197.06/33.94  | Case 2:
% 197.06/33.94  | | 
% 197.06/33.94  | |   (84)   ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 & $i(all_42_1)
% 197.06/33.94  | | 
% 197.06/33.94  | | ALPHA: (84) implies:
% 197.06/33.94  | |   (85)  op(e3, e1) = all_42_1
% 197.06/33.94  | | 
% 197.06/33.94  | | BETA: splitting (17) gives:
% 197.06/33.94  | | 
% 197.06/33.94  | | Case 1:
% 197.06/33.94  | | | 
% 197.06/33.94  | | |   (86)   ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 & op(e3, e1) =
% 197.06/33.94  | | |         all_26_1 & $i(all_26_0) & $i(all_26_1)
% 197.06/33.94  | | | 
% 197.06/33.94  | | | ALPHA: (86) implies:
% 197.06/33.94  | | |   (87)   ~ (all_26_0 = e0)
% 197.06/33.94  | | |   (88)  op(e3, e1) = all_26_1
% 197.06/33.94  | | |   (89)  op(all_26_1, e3) = all_26_0
% 197.06/33.94  | | | 
% 197.06/33.94  | | | BETA: splitting (13) gives:
% 197.06/33.94  | | | 
% 197.06/33.94  | | | Case 1:
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | |   (90)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) =
% 197.06/33.94  | | | |         all_20_1 & $i(all_20_0) & $i(all_20_1)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | ALPHA: (90) implies:
% 197.06/33.94  | | | |   (91)   ~ (all_20_0 = e0)
% 197.06/33.94  | | | |   (92)  op(e1, e3) = all_20_1
% 197.06/33.94  | | | |   (93)  op(all_20_1, e1) = all_20_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with e2, all_30_1, e3, e1, simplifying
% 197.06/33.94  | | | |              with (18), (25) gives:
% 197.06/33.94  | | | |   (94)  all_30_1 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with all_20_1, all_30_1, e3, e1,
% 197.06/33.94  | | | |              simplifying with (25), (92) gives:
% 197.06/33.94  | | | |   (95)  all_30_1 = all_20_1
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with e2, all_42_1, e1, e3, simplifying
% 197.06/33.94  | | | |              with (16), (85) gives:
% 197.06/33.94  | | | |   (96)  all_42_1 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with all_26_1, all_42_1, e1, e3,
% 197.06/33.94  | | | |              simplifying with (85), (88) gives:
% 197.06/33.94  | | | |   (97)  all_42_1 = all_26_1
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | COMBINE_EQS: (96), (97) imply:
% 197.06/33.94  | | | |   (98)  all_26_1 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | SIMP: (98) implies:
% 197.06/33.94  | | | |   (99)  all_26_1 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | COMBINE_EQS: (94), (95) imply:
% 197.06/33.94  | | | |   (100)  all_20_1 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (89), (99) imply:
% 197.06/33.94  | | | |   (101)  op(e2, e3) = all_26_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (93), (100) imply:
% 197.06/33.94  | | | |   (102)  op(e2, e1) = all_20_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with all_52_9, all_20_0, e1, e2,
% 197.06/33.94  | | | |              simplifying with (31), (102) gives:
% 197.06/33.94  | | | |   (103)  all_52_9 = all_20_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | GROUND_INST: instantiating (8) with all_52_1, all_26_0, e3, e2,
% 197.06/33.94  | | | |              simplifying with (36), (101) gives:
% 197.06/33.94  | | | |   (104)  all_52_1 = all_26_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | COMBINE_EQS: (5), (103) imply:
% 197.06/33.94  | | | |   (105)  all_54_6 = all_20_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | COMBINE_EQS: (1), (104) imply:
% 197.06/33.94  | | | |   (106)  all_54_4 = all_26_0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (32), (104) imply:
% 197.06/33.94  | | | |   (107)   ~ (all_52_3 = all_26_0)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | SIMP: (107) implies:
% 197.06/33.94  | | | |   (108)   ~ (all_52_3 = all_26_0)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (7), (103), (104) imply:
% 197.06/33.94  | | | |   (109)   ~ (all_26_0 = all_20_0)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (30), (104) imply:
% 197.06/33.94  | | | |   (110)   ~ (all_26_0 = e2)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (26), (104) imply:
% 197.06/33.94  | | | |   (111)   ~ (all_26_0 = e1)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (38), (103) imply:
% 197.06/33.94  | | | |   (112)   ~ (all_52_11 = all_20_0)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | SIMP: (112) implies:
% 197.06/33.94  | | | |   (113)   ~ (all_52_11 = all_20_0)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (11), (103) imply:
% 197.06/33.94  | | | |   (114)   ~ (all_20_0 = e3)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REDUCE: (21), (103) imply:
% 197.06/33.94  | | | |   (115)   ~ (all_20_0 = e2)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | BETA: splitting (22) gives:
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | Case 1:
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | |   (116)  all_54_6 = e3
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | REF_CLOSE: (105), (114), (116) are inconsistent by sub-proof #1237.
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | Case 2:
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | |   (117)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | REF_CLOSE: (2), (3), (4), (6), (8), (9), (10), (12), (14), (15), (20),
% 197.06/33.94  | | | | |            (23), (24), (27), (28), (29), (33), (34), (35), (37), (87),
% 197.06/33.94  | | | | |            (91), (105), (106), (108), (109), (110), (111), (113),
% 197.06/33.94  | | | | |            (115), (117) are inconsistent by sub-proof #1232.
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | End of split
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | Case 2:
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | |   (118)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 & $i(all_20_1)
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | ALPHA: (118) implies:
% 197.06/33.94  | | | |   (119)   ~ (all_20_1 = e2)
% 197.06/33.94  | | | |   (120)  op(e1, e3) = all_20_1
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REF_CLOSE: (8), (18), (25), (119), (120) are inconsistent by sub-proof
% 197.06/33.94  | | | |            #1267.
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | End of split
% 197.06/33.94  | | | 
% 197.06/33.94  | | Case 2:
% 197.06/33.94  | | | 
% 197.06/33.94  | | |   (121)   ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 & $i(all_26_1)
% 197.06/33.94  | | | 
% 197.06/33.94  | | | ALPHA: (121) implies:
% 197.06/33.94  | | |   (122)   ~ (all_26_1 = e2)
% 197.06/33.94  | | |   (123)  op(e3, e1) = all_26_1
% 197.06/33.94  | | | 
% 197.06/33.94  | | | REF_CLOSE: (8), (16), (85), (122), (123) are inconsistent by sub-proof
% 197.06/33.94  | | |            #1427.
% 197.06/33.94  | | | 
% 197.06/33.94  | | End of split
% 197.06/33.94  | | 
% 197.06/33.94  | End of split
% 197.06/33.94  | 
% 197.06/33.94  End of proof
% 197.06/33.94  
% 197.06/33.94  Sub-proof #1232 shows that the following formulas are inconsistent:
% 197.06/33.94  ----------------------------------------------------------------
% 197.06/33.94    (1)   ~ (all_52_3 = e1)
% 197.06/33.94    (2)  op(e1, e2) = all_52_6
% 197.06/33.94    (3)   ~ (all_52_3 = e2)
% 197.06/33.94    (4)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.06/33.94         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.06/33.94    (5)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.06/33.94    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.94    (7)   ~ (all_26_0 = e1)
% 197.06/33.94    (8)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 197.06/33.94    (9)   ~ (all_26_0 = e0)
% 197.06/33.94    (10)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.06/33.94          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.06/33.94    (11)  all_54_12 = all_52_3
% 197.06/33.94    (12)   ~ (all_52_14 = e3)
% 197.06/33.94    (13)  op(e1, e0) = all_52_14
% 197.06/33.94    (14)  all_56_6 = e2
% 197.06/33.94    (15)  all_54_4 = all_26_0
% 197.06/33.94    (16)   ~ (all_52_8 = e1)
% 197.06/33.94    (17)   ~ (all_20_0 = e0)
% 197.06/33.94    (18)  op(e0, e1) = all_52_11
% 197.06/33.94    (19)   ~ (all_26_0 = all_20_0)
% 197.06/33.94    (20)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.06/33.94    (21)   ~ (all_20_0 = e2)
% 197.06/33.94    (22)   ~ (all_52_6 = e3)
% 197.06/33.94    (23)  all_56_4 = e2
% 197.06/33.94    (24)   ~ (all_52_11 = all_20_0)
% 197.06/33.94    (25)   ~ (all_52_3 = all_26_0)
% 197.06/33.94    (26)   ~ (all_26_0 = e2)
% 197.06/33.94    (27)  op(e3, e1) = all_52_8
% 197.06/33.94    (28)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.06/33.94          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.06/33.94    (29)  all_54_6 = all_20_0
% 197.06/33.94    (30)  op(e1, e1) = e3
% 197.06/33.94    (31)   ~ (all_52_3 = all_52_11)
% 197.06/33.94  
% 197.06/33.94  Begin of proof
% 197.06/33.94  | 
% 197.06/33.94  | BETA: splitting (20) gives:
% 197.06/33.94  | 
% 197.06/33.94  | Case 1:
% 197.06/33.94  | | 
% 197.06/33.94  | |   (32)  all_54_4 = e3
% 197.06/33.94  | | 
% 197.06/33.94  | | COMBINE_EQS: (15), (32) imply:
% 197.06/33.94  | |   (33)  all_26_0 = e3
% 197.06/33.94  | | 
% 197.06/33.94  | | SIMP: (33) implies:
% 197.06/33.94  | |   (34)  all_26_0 = e3
% 197.06/33.94  | | 
% 197.06/33.94  | | REDUCE: (25), (34) imply:
% 197.06/33.94  | |   (35)   ~ (all_52_3 = e3)
% 197.06/33.94  | | 
% 197.06/33.94  | | REDUCE: (19), (34) imply:
% 197.06/33.94  | |   (36)   ~ (all_20_0 = e3)
% 197.06/33.94  | | 
% 197.06/33.94  | | SIMP: (36) implies:
% 197.06/33.94  | |   (37)   ~ (all_20_0 = e3)
% 197.06/33.94  | | 
% 197.06/33.94  | | REDUCE: (26), (34) imply:
% 197.06/33.94  | |   (38)   ~ (e3 = e2)
% 197.06/33.94  | | 
% 197.06/33.94  | | BETA: splitting (8) gives:
% 197.06/33.94  | | 
% 197.06/33.94  | | Case 1:
% 197.06/33.94  | | | 
% 197.06/33.94  | | |   (39)  all_54_12 = e3
% 197.06/33.94  | | | 
% 197.06/33.94  | | | REF_CLOSE: (11), (35), (39) are inconsistent by sub-proof #1466.
% 197.06/33.94  | | | 
% 197.06/33.94  | | Case 2:
% 197.06/33.94  | | | 
% 197.06/33.94  | | |   (40)   ~ (all_54_12 = e3)
% 197.06/33.94  | | |   (41)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 197.06/33.94  | | | 
% 197.06/33.94  | | | BETA: splitting (41) gives:
% 197.06/33.94  | | | 
% 197.06/33.94  | | | Case 1:
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | |   (42)  all_54_12 = e2
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | REF_CLOSE: (3), (11), (42) are inconsistent by sub-proof #1465.
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | Case 2:
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | |   (43)   ~ (all_54_12 = e2)
% 197.06/33.94  | | | |   (44)  all_54_12 = e1 | all_54_12 = e0
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | BETA: splitting (44) gives:
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | | Case 1:
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | |   (45)  all_54_12 = e1
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | REF_CLOSE: (1), (11), (45) are inconsistent by sub-proof #1464.
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | Case 2:
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | |   (46)  all_54_12 = e0
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | COMBINE_EQS: (11), (46) imply:
% 197.06/33.94  | | | | |   (47)  all_52_3 = e0
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | SIMP: (47) implies:
% 197.06/33.94  | | | | |   (48)  all_52_3 = e0
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | REDUCE: (31), (48) imply:
% 197.06/33.94  | | | | |   (49)   ~ (all_52_11 = e0)
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | SIMP: (49) implies:
% 197.06/33.94  | | | | |   (50)   ~ (all_52_11 = e0)
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | REDUCE: (35), (48) imply:
% 197.06/33.94  | | | | |   (51)   ~ (e3 = e0)
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | SIMP: (51) implies:
% 197.06/33.94  | | | | |   (52)   ~ (e3 = e0)
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | REDUCE: (3), (48) imply:
% 197.06/33.94  | | | | |   (53)   ~ (e2 = e0)
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | SIMP: (53) implies:
% 197.06/33.94  | | | | |   (54)   ~ (e2 = e0)
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | BETA: splitting (4) gives:
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | | Case 1:
% 197.06/33.94  | | | | | | 
% 197.06/33.94  | | | | | |   (55)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2,
% 197.06/33.94  | | | | | |             e1) = e0)
% 197.06/33.94  | | | | | | 
% 197.06/33.94  | | | | | | BETA: splitting (55) gives:
% 197.06/33.94  | | | | | | 
% 197.06/33.94  | | | | | | Case 1:
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | |   (56)  all_56_4 = e0 & op(e3, e1) = e0
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | | REF_CLOSE: (23), (54), (56) are inconsistent by sub-proof #1876.
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | Case 2:
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | |   (57)  all_56_5 = e0 & op(e2, e1) = e0
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | | ALPHA: (57) implies:
% 197.06/33.94  | | | | | | |   (58)  all_56_5 = e0
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | | BETA: splitting (5) gives:
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | | Case 1:
% 197.06/33.94  | | | | | | | | 
% 197.06/33.94  | | | | | | | |   (59)  all_54_6 = e2
% 197.06/33.94  | | | | | | | | 
% 197.06/33.94  | | | | | | | | COMBINE_EQS: (29), (59) imply:
% 197.06/33.94  | | | | | | | |   (60)  all_20_0 = e2
% 197.06/33.94  | | | | | | | | 
% 197.06/33.94  | | | | | | | | SIMP: (60) implies:
% 197.06/33.94  | | | | | | | |   (61)  all_20_0 = e2
% 197.06/33.94  | | | | | | | | 
% 197.06/33.94  | | | | | | | | REDUCE: (21), (61) imply:
% 197.06/33.94  | | | | | | | |   (62)  $false
% 197.06/33.94  | | | | | | | | 
% 197.06/33.94  | | | | | | | | CLOSE: (62) is inconsistent.
% 197.06/33.94  | | | | | | | | 
% 197.06/33.94  | | | | | | | Case 2:
% 197.06/33.94  | | | | | | | | 
% 197.06/33.94  | | | | | | | |   (63)  all_54_6 = e1 | all_54_6 = e0
% 197.06/33.94  | | | | | | | | 
% 197.06/33.94  | | | | | | | | BETA: splitting (63) gives:
% 197.06/33.94  | | | | | | | | 
% 197.06/33.94  | | | | | | | | Case 1:
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | |   (64)  all_54_6 = e1
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | | COMBINE_EQS: (29), (64) imply:
% 197.06/33.94  | | | | | | | | |   (65)  all_20_0 = e1
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | | SIMP: (65) implies:
% 197.06/33.94  | | | | | | | | |   (66)  all_20_0 = e1
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | | REDUCE: (24), (66) imply:
% 197.06/33.94  | | | | | | | | |   (67)   ~ (all_52_11 = e1)
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | | REDUCE: (37), (66) imply:
% 197.06/33.94  | | | | | | | | |   (68)   ~ (e3 = e1)
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | | SIMP: (68) implies:
% 197.06/33.94  | | | | | | | | |   (69)   ~ (e3 = e1)
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | | REDUCE: (17), (66) imply:
% 197.06/33.94  | | | | | | | | |   (70)   ~ (e1 = e0)
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | | REF_CLOSE: (6), (10), (16), (18), (27), (30), (58), (67),
% 197.06/33.94  | | | | | | | | |            (69), (70) are inconsistent by sub-proof #1234.
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | Case 2:
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | |   (71)  all_54_6 = e0
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | | REF_CLOSE: (17), (29), (71) are inconsistent by sub-proof
% 197.06/33.94  | | | | | | | | |            #1233.
% 197.06/33.94  | | | | | | | | | 
% 197.06/33.94  | | | | | | | | End of split
% 197.06/33.94  | | | | | | | | 
% 197.06/33.94  | | | | | | | End of split
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | End of split
% 197.06/33.94  | | | | | | 
% 197.06/33.94  | | | | | Case 2:
% 197.06/33.94  | | | | | | 
% 197.06/33.94  | | | | | |   (72)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0,
% 197.06/33.94  | | | | | |             e1) = e0)
% 197.06/33.94  | | | | | | 
% 197.06/33.94  | | | | | | BETA: splitting (72) gives:
% 197.06/33.94  | | | | | | 
% 197.06/33.94  | | | | | | Case 1:
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | |   (73)  all_56_8 = e0 & op(e1, e1) = e0
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | | ALPHA: (73) implies:
% 197.06/33.94  | | | | | | |   (74)  op(e1, e1) = e0
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | | REF_CLOSE: (2), (6), (12), (13), (14), (22), (28), (38), (52),
% 197.06/33.94  | | | | | | |            (74) are inconsistent by sub-proof #1405.
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | Case 2:
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | |   (75)  all_56_14 = e0 & op(e0, e1) = e0
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | | ALPHA: (75) implies:
% 197.06/33.94  | | | | | | |   (76)  op(e0, e1) = e0
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | | REF_CLOSE: (6), (18), (50), (76) are inconsistent by sub-proof
% 197.06/33.94  | | | | | | |            #1931.
% 197.06/33.94  | | | | | | | 
% 197.06/33.94  | | | | | | End of split
% 197.06/33.94  | | | | | | 
% 197.06/33.94  | | | | | End of split
% 197.06/33.94  | | | | | 
% 197.06/33.94  | | | | End of split
% 197.06/33.94  | | | | 
% 197.06/33.94  | | | End of split
% 197.06/33.94  | | | 
% 197.06/33.94  | | End of split
% 197.06/33.94  | | 
% 197.06/33.94  | Case 2:
% 197.06/33.94  | | 
% 197.06/33.94  | |   (77)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.06/33.94  | | 
% 197.06/33.94  | | REF_CLOSE: (7), (9), (15), (26), (77) are inconsistent by sub-proof #1449.
% 197.06/33.94  | | 
% 197.06/33.94  | End of split
% 197.06/33.94  | 
% 197.06/33.94  End of proof
% 197.06/33.94  
% 197.06/33.94  Sub-proof #1233 shows that the following formulas are inconsistent:
% 197.06/33.94  ----------------------------------------------------------------
% 197.06/33.94    (1)  all_54_6 = all_20_0
% 197.06/33.94    (2)  all_54_6 = e0
% 197.06/33.94    (3)   ~ (all_20_0 = e0)
% 197.06/33.94  
% 197.06/33.94  Begin of proof
% 197.06/33.94  | 
% 197.06/33.94  | COMBINE_EQS: (1), (2) imply:
% 197.06/33.94  |   (4)  all_20_0 = e0
% 197.06/33.94  | 
% 197.06/33.94  | SIMP: (4) implies:
% 197.06/33.94  |   (5)  all_20_0 = e0
% 197.06/33.94  | 
% 197.06/33.94  | REDUCE: (3), (5) imply:
% 197.06/33.94  |   (6)  $false
% 197.06/33.94  | 
% 197.06/33.94  | CLOSE: (6) is inconsistent.
% 197.06/33.94  | 
% 197.06/33.94  End of proof
% 197.06/33.94  
% 197.06/33.94  Sub-proof #1234 shows that the following formulas are inconsistent:
% 197.06/33.94  ----------------------------------------------------------------
% 197.06/33.94    (1)   ~ (all_52_11 = e1)
% 197.06/33.94    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.94    (3)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.06/33.94         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.06/33.94    (4)   ~ (all_52_8 = e1)
% 197.06/33.94    (5)  op(e0, e1) = all_52_11
% 197.06/33.94    (6)  all_56_5 = e0
% 197.06/33.94    (7)   ~ (e1 = e0)
% 197.06/33.94    (8)  op(e3, e1) = all_52_8
% 197.06/33.94    (9)   ~ (e3 = e1)
% 197.06/33.94    (10)  op(e1, e1) = e3
% 197.06/33.94  
% 197.06/33.94  Begin of proof
% 197.06/33.94  | 
% 197.06/33.94  | BETA: splitting (3) gives:
% 197.06/33.94  | 
% 197.06/33.94  | Case 1:
% 197.06/33.94  | | 
% 197.06/33.94  | |   (11)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 197.06/33.94  | |           e1)
% 197.06/33.94  | | 
% 197.06/33.94  | | BETA: splitting (11) gives:
% 197.06/33.94  | | 
% 197.06/33.94  | | Case 1:
% 197.06/33.94  | | | 
% 197.06/33.94  | | |   (12)  all_56_4 = e1 & op(e3, e1) = e1
% 197.06/33.94  | | | 
% 197.06/33.94  | | | ALPHA: (12) implies:
% 197.06/33.94  | | |   (13)  op(e3, e1) = e1
% 197.06/33.94  | | | 
% 197.06/33.94  | | | REF_CLOSE: (2), (4), (8), (13) are inconsistent by sub-proof #1880.
% 197.06/33.94  | | | 
% 197.06/33.94  | | Case 2:
% 197.06/33.94  | | | 
% 197.06/33.94  | | |   (14)  all_56_5 = e1 & op(e2, e1) = e1
% 197.06/33.94  | | | 
% 197.06/33.94  | | | REF_CLOSE: (6), (7), (14) are inconsistent by sub-proof #1236.
% 197.06/33.94  | | | 
% 197.06/33.94  | | End of split
% 197.06/33.94  | | 
% 197.06/33.94  | Case 2:
% 197.06/33.94  | | 
% 197.06/33.94  | |   (15)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 197.06/33.94  | |           e1)
% 197.06/33.94  | | 
% 197.06/33.94  | | REF_CLOSE: (1), (2), (5), (9), (10), (15) are inconsistent by sub-proof
% 197.06/33.94  | |            #1235.
% 197.06/33.94  | | 
% 197.06/33.94  | End of split
% 197.06/33.94  | 
% 197.06/33.94  End of proof
% 197.06/33.94  
% 197.06/33.94  Sub-proof #1235 shows that the following formulas are inconsistent:
% 197.06/33.94  ----------------------------------------------------------------
% 197.06/33.94    (1)   ~ (all_52_11 = e1)
% 197.06/33.94    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.94    (3)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.06/33.94    (4)  op(e0, e1) = all_52_11
% 197.06/33.94    (5)   ~ (e3 = e1)
% 197.06/33.94    (6)  op(e1, e1) = e3
% 197.06/33.94  
% 197.06/33.94  Begin of proof
% 197.06/33.94  | 
% 197.06/33.94  | BETA: splitting (3) gives:
% 197.06/33.94  | 
% 197.06/33.94  | Case 1:
% 197.06/33.94  | | 
% 197.06/33.94  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 197.06/33.94  | | 
% 197.06/33.94  | | ALPHA: (7) implies:
% 197.06/33.94  | |   (8)  op(e1, e1) = e1
% 197.06/33.94  | | 
% 197.06/33.94  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1978.
% 197.06/33.94  | | 
% 197.06/33.94  | Case 2:
% 197.06/33.94  | | 
% 197.06/33.94  | |   (9)  all_56_14 = e1 & op(e0, e1) = e1
% 197.06/33.94  | | 
% 197.06/33.94  | | ALPHA: (9) implies:
% 197.06/33.94  | |   (10)  op(e0, e1) = e1
% 197.06/33.94  | | 
% 197.06/33.94  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1885.
% 197.06/33.94  | | 
% 197.06/33.94  | End of split
% 197.06/33.94  | 
% 197.06/33.94  End of proof
% 197.06/33.94  
% 197.06/33.94  Sub-proof #1236 shows that the following formulas are inconsistent:
% 197.06/33.94  ----------------------------------------------------------------
% 197.06/33.94    (1)  all_56_5 = e1 & op(e2, e1) = e1
% 197.06/33.94    (2)  all_56_5 = e0
% 197.06/33.94    (3)   ~ (e1 = e0)
% 197.06/33.94  
% 197.06/33.94  Begin of proof
% 197.06/33.94  | 
% 197.06/33.94  | ALPHA: (1) implies:
% 197.06/33.94  |   (4)  all_56_5 = e1
% 197.06/33.94  | 
% 197.06/33.94  | COMBINE_EQS: (2), (4) imply:
% 197.06/33.94  |   (5)  e1 = e0
% 197.06/33.94  | 
% 197.06/33.94  | REDUCE: (3), (5) imply:
% 197.06/33.94  |   (6)  $false
% 197.06/33.94  | 
% 197.06/33.94  | CLOSE: (6) is inconsistent.
% 197.06/33.94  | 
% 197.06/33.94  End of proof
% 197.06/33.94  
% 197.06/33.94  Sub-proof #1237 shows that the following formulas are inconsistent:
% 197.06/33.94  ----------------------------------------------------------------
% 197.06/33.94    (1)  all_54_6 = all_20_0
% 197.06/33.94    (2)  all_54_6 = e3
% 197.06/33.94    (3)   ~ (all_20_0 = e3)
% 197.06/33.94  
% 197.06/33.94  Begin of proof
% 197.06/33.94  | 
% 197.06/33.94  | COMBINE_EQS: (1), (2) imply:
% 197.06/33.94  |   (4)  all_20_0 = e3
% 197.06/33.94  | 
% 197.06/33.94  | SIMP: (4) implies:
% 197.06/33.94  |   (5)  all_20_0 = e3
% 197.06/33.94  | 
% 197.06/33.94  | REDUCE: (3), (5) imply:
% 197.06/33.94  |   (6)  $false
% 197.06/33.94  | 
% 197.06/33.94  | CLOSE: (6) is inconsistent.
% 197.06/33.94  | 
% 197.06/33.94  End of proof
% 197.06/33.94  
% 197.06/33.94  Sub-proof #1238 shows that the following formulas are inconsistent:
% 197.06/33.94  ----------------------------------------------------------------
% 197.06/33.94    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.94    (2)  op(e0, e1) = all_52_11
% 197.06/33.94    (3)   ~ (all_52_11 = e0)
% 197.06/33.94    (4)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.06/33.94    (5)  op(e1, e1) = e3
% 197.06/33.94    (6)   ~ (e3 = e0)
% 197.06/33.94  
% 197.06/33.94  Begin of proof
% 197.06/33.94  | 
% 197.06/33.94  | BETA: splitting (4) gives:
% 197.06/33.94  | 
% 197.06/33.94  | Case 1:
% 197.06/33.94  | | 
% 197.06/33.94  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 197.06/33.94  | | 
% 197.06/33.94  | | ALPHA: (7) implies:
% 197.06/33.94  | |   (8)  op(e1, e1) = e0
% 197.06/33.94  | | 
% 197.06/33.94  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1824.
% 197.06/33.94  | | 
% 197.06/33.94  | Case 2:
% 197.06/33.94  | | 
% 197.06/33.94  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 197.06/33.94  | | 
% 197.06/33.94  | | ALPHA: (9) implies:
% 197.06/33.94  | |   (10)  op(e0, e1) = e0
% 197.06/33.94  | | 
% 197.06/33.94  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1931.
% 197.06/33.94  | | 
% 197.06/33.94  | End of split
% 197.06/33.94  | 
% 197.06/33.94  End of proof
% 197.06/33.94  
% 197.06/33.94  Sub-proof #1239 shows that the following formulas are inconsistent:
% 197.06/33.94  ----------------------------------------------------------------
% 197.06/33.94    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.06/33.94         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.06/33.94    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.06/33.94         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.06/33.95    (3)   ~ (e3 = e2)
% 197.06/33.95    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.95           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.95    (5)  op(e2, e2) = all_4_2
% 197.06/33.95    (6)  op(e3, e3) = e1
% 197.06/33.95    (7)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.06/33.95         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.06/33.95    (8)   ~ (all_4_2 = e3)
% 197.06/33.95    (9)  all_56_5 = e0
% 197.06/33.95    (10)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.06/33.95          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.06/33.95    (11)   ~ (e1 = e0)
% 197.06/33.95    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.06/33.95          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.06/33.95    (13)   ~ (e2 = e1)
% 197.06/33.95    (14)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.06/33.95          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.06/33.95    (15)  op(e2, e2) = e0
% 197.06/33.95    (16)   ~ (e3 = e1)
% 197.06/33.95    (17)   ~ (e2 = e0)
% 197.06/33.95    (18)   ~ (e3 = e0)
% 197.06/33.95  
% 197.06/33.95  Begin of proof
% 197.06/33.95  | 
% 197.06/33.95  | BETA: splitting (10) gives:
% 197.06/33.95  | 
% 197.06/33.95  | Case 1:
% 197.06/33.95  | | 
% 197.06/33.95  | |   (19)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.06/33.95  | |           e1)
% 197.06/33.95  | | 
% 197.06/33.95  | | REF_CLOSE: (1), (2), (3), (4), (6), (11), (12), (13), (15), (16), (17),
% 197.06/33.95  | |            (18), (19) are inconsistent by sub-proof #1843.
% 197.06/33.95  | | 
% 197.06/33.95  | Case 2:
% 197.06/33.95  | | 
% 197.06/33.95  | |   (20)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 197.06/33.95  | |           e1)
% 197.06/33.95  | | 
% 197.06/33.95  | | BETA: splitting (20) gives:
% 197.06/33.95  | | 
% 197.06/33.95  | | Case 1:
% 197.06/33.95  | | | 
% 197.06/33.95  | | |   (21)  all_56_5 = e1 & op(e2, e1) = e1
% 197.06/33.95  | | | 
% 197.06/33.95  | | | ALPHA: (21) implies:
% 197.06/33.95  | | |   (22)  all_56_5 = e1
% 197.06/33.95  | | | 
% 197.06/33.95  | | | REF_CLOSE: (9), (11), (22) are inconsistent by sub-proof #1842.
% 197.06/33.95  | | | 
% 197.06/33.95  | | Case 2:
% 197.06/33.95  | | | 
% 197.06/33.95  | | |   (23)  all_56_10 = e1 & op(e2, e0) = e1
% 197.06/33.95  | | | 
% 197.06/33.95  | | | ALPHA: (23) implies:
% 197.06/33.95  | | |   (24)  all_56_10 = e1
% 197.06/33.95  | | | 
% 197.06/33.95  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 197.06/33.95  | | |            (13), (14), (15), (16), (17), (18), (24) are inconsistent by
% 197.06/33.95  | | |            sub-proof #1836.
% 197.06/33.95  | | | 
% 197.06/33.95  | | End of split
% 197.06/33.95  | | 
% 197.06/33.95  | End of split
% 197.06/33.95  | 
% 197.06/33.95  End of proof
% 197.06/33.95  
% 197.06/33.95  Sub-proof #1240 shows that the following formulas are inconsistent:
% 197.06/33.95  ----------------------------------------------------------------
% 197.06/33.95    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.06/33.95         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.06/33.95    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.06/33.95         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.06/33.95    (3)   ~ (e3 = e2)
% 197.06/33.95    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.95           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.95    (5)  op(e3, e2) = all_52_4
% 197.06/33.95    (6)  op(e2, e2) = all_4_2
% 197.06/33.95    (7)  all_56_7 = e0
% 197.06/33.95    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.06/33.95         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.06/33.95    (9)   ~ (all_4_2 = e3)
% 197.06/33.95    (10)   ~ (e1 = e0)
% 197.06/33.95    (11)   ~ (all_52_4 = e1)
% 197.06/33.95    (12)   ~ (e2 = e1)
% 197.06/33.95    (13)  op(e2, e2) = e0
% 197.06/33.95    (14)   ~ (e3 = e1)
% 197.06/33.95    (15)   ~ (e2 = e0)
% 197.06/33.95    (16)   ~ (e3 = e0)
% 197.06/33.95  
% 197.06/33.95  Begin of proof
% 197.06/33.95  | 
% 197.06/33.95  | BETA: splitting (1) gives:
% 197.06/33.95  | 
% 197.06/33.95  | Case 1:
% 197.06/33.95  | | 
% 197.06/33.95  | |   (17)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.06/33.95  | |           e1)
% 197.06/33.95  | | 
% 197.06/33.95  | | REF_CLOSE: (4), (5), (10), (11), (13), (17) are inconsistent by sub-proof
% 197.06/33.95  | |            #1908.
% 197.06/33.95  | | 
% 197.06/33.95  | Case 2:
% 197.06/33.95  | | 
% 197.06/33.95  | |   (18)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.06/33.95  | |           e1)
% 197.06/33.95  | | 
% 197.06/33.95  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (12), (13), (14), (15),
% 197.06/33.95  | |            (16), (18) are inconsistent by sub-proof #1283.
% 197.06/33.95  | | 
% 197.06/33.95  | End of split
% 197.06/33.95  | 
% 197.06/33.95  End of proof
% 197.06/33.95  
% 197.06/33.95  Sub-proof #1241 shows that the following formulas are inconsistent:
% 197.06/33.95  ----------------------------------------------------------------
% 197.06/33.95    (1)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 & $i(all_30_1)
% 197.06/33.95    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.95           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.95    (3)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) = all_20_1
% 197.06/33.95           & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1, e3) =
% 197.06/33.95           all_20_1 & $i(all_20_1))
% 197.06/33.95    (4)  op(e1, e3) = e0
% 197.06/33.95  
% 197.06/33.95  Begin of proof
% 197.06/33.95  | 
% 197.06/33.95  | ALPHA: (1) implies:
% 197.06/33.95  |   (5)   ~ (all_30_1 = e0)
% 197.06/33.95  |   (6)  op(e1, e3) = all_30_1
% 197.06/33.95  | 
% 197.06/33.95  | BETA: splitting (3) gives:
% 197.06/33.95  | 
% 197.06/33.95  | Case 1:
% 197.06/33.95  | | 
% 197.06/33.95  | |   (7)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) =
% 197.06/33.95  | |        all_20_1 & $i(all_20_0) & $i(all_20_1)
% 197.06/33.95  | | 
% 197.06/33.95  | | ALPHA: (7) implies:
% 197.06/33.95  | |   (8)  op(e1, e3) = all_20_1
% 197.06/33.95  | | 
% 197.06/33.95  | | REF_CLOSE: (2), (4), (5), (6), (8) are inconsistent by sub-proof #1288.
% 197.06/33.95  | | 
% 197.06/33.95  | Case 2:
% 197.06/33.95  | | 
% 197.06/33.95  | |   (9)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 & $i(all_20_1)
% 197.06/33.95  | | 
% 197.06/33.95  | | ALPHA: (9) implies:
% 197.06/33.95  | |   (10)  op(e1, e3) = all_20_1
% 197.06/33.95  | | 
% 197.06/33.95  | | REF_CLOSE: (2), (4), (5), (6), (10) are inconsistent by sub-proof #1288.
% 197.06/33.95  | | 
% 197.06/33.95  | End of split
% 197.06/33.95  | 
% 197.06/33.95  End of proof
% 197.06/33.95  
% 197.06/33.95  Sub-proof #1242 shows that the following formulas are inconsistent:
% 197.06/33.95  ----------------------------------------------------------------
% 197.06/33.95    (1)   ~ (all_52_3 = e1)
% 197.06/33.95    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.06/33.95         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.06/33.95    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.06/33.95         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.06/33.95    (4)   ~ (e3 = e2)
% 197.06/33.95    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.95           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.95    (6)  op(e2, e2) = all_4_2
% 197.06/33.95    (7)  op(e3, e3) = e1
% 197.06/33.95    (8)   ~ (all_52_7 = all_52_11)
% 197.06/33.95    (9)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.06/33.95         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.06/33.95    (10)   ~ (all_52_9 = e3)
% 197.06/33.95    (11)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.06/33.95          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.06/33.95            e1)
% 197.06/33.95    (12)  op(e0, e3) = all_52_3
% 197.06/33.95    (13)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 & op(e3, e1) =
% 197.06/33.95            all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3,
% 197.06/33.95              e1) = all_42_1 & $i(all_42_1))
% 197.06/33.95    (14)  all_56_6 = e0
% 197.06/33.95    (15)  op(e3, e1) = all_26_1
% 197.06/33.95    (16)  op(e0, e1) = all_52_11
% 197.06/33.95    (17)  op(e1, e3) = all_30_1
% 197.06/33.95    (18)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.06/33.95          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.06/33.95    (19)   ~ (all_4_2 = e3)
% 197.06/33.95    (20)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.06/33.95          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.06/33.95    (21)   ~ (e1 = e0)
% 197.06/33.95    (22)   ~ (all_52_11 = e3)
% 197.06/33.95    (23)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.06/33.95          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.06/33.95    (24)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.06/33.95    (25)  op(e3, e1) = e0
% 197.06/33.95    (26)   ~ (e2 = e1)
% 197.06/33.95    (27)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.06/33.95          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.06/33.95    (28)  all_54_14 = all_52_11
% 197.06/33.95    (29)   ~ (all_52_11 = e0)
% 197.06/33.95    (30)  op(e2, e1) = all_52_9
% 197.06/33.95    (31)  op(e0, e0) = e0
% 197.06/33.95    (32)  all_56_4 = e0
% 197.06/33.95    (33)   ~ (all_30_0 = e2)
% 197.06/33.95    (34)  op(all_30_1, e1) = all_30_0
% 197.06/33.95    (35)  op(e2, e2) = e0
% 197.06/33.95    (36)   ~ (e3 = e1)
% 197.06/33.95    (37)  op(e0, e2) = all_52_7
% 197.06/33.95    (38)  op(e1, e1) = e3
% 197.06/33.95    (39)   ~ (e2 = e0)
% 197.06/33.95    (40)   ~ (e3 = e0)
% 197.06/33.95    (41)  op(e1, e3) = e0
% 197.06/33.95  
% 197.06/33.95  Begin of proof
% 197.06/33.95  | 
% 197.06/33.95  | GROUND_INST: instantiating (5) with e0, all_30_1, e3, e1, simplifying with
% 197.06/33.95  |              (17), (41) gives:
% 197.06/33.95  |   (42)  all_30_1 = e0
% 197.06/33.95  | 
% 197.06/33.95  | GROUND_INST: instantiating (5) with e0, all_26_1, e1, e3, simplifying with
% 197.06/33.95  |              (15), (25) gives:
% 197.06/33.95  |   (43)  all_26_1 = e0
% 197.06/33.95  | 
% 197.06/33.95  | REDUCE: (34), (42) imply:
% 197.06/33.95  |   (44)  op(e0, e1) = all_30_0
% 197.06/33.95  | 
% 197.06/33.95  | BETA: splitting (13) gives:
% 197.06/33.95  | 
% 197.06/33.95  | Case 1:
% 197.06/33.95  | | 
% 197.06/33.95  | |   (45)   ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 & op(e3, e1) =
% 197.06/33.95  | |         all_42_1 & $i(all_42_0) & $i(all_42_1)
% 197.06/33.95  | | 
% 197.06/33.95  | | ALPHA: (45) implies:
% 197.06/33.95  | |   (46)   ~ (all_42_0 = e2)
% 197.06/33.95  | |   (47)  op(e3, e1) = all_42_1
% 197.06/33.95  | |   (48)  op(all_42_1, e3) = all_42_0
% 197.06/33.95  | | 
% 197.06/33.95  | | GROUND_INST: instantiating (5) with all_52_11, all_30_0, e1, e0, simplifying
% 197.06/33.95  | |              with (16), (44) gives:
% 197.06/33.95  | |   (49)  all_52_11 = all_30_0
% 197.06/33.95  | | 
% 197.06/33.95  | | GROUND_INST: instantiating (5) with e0, all_42_1, e1, e3, simplifying with
% 197.06/33.95  | |              (25), (47) gives:
% 197.06/33.95  | |   (50)  all_42_1 = e0
% 197.06/33.95  | | 
% 197.06/33.95  | | COMBINE_EQS: (28), (49) imply:
% 197.06/33.95  | |   (51)  all_54_14 = all_30_0
% 197.06/33.95  | | 
% 197.06/33.95  | | REDUCE: (8), (49) imply:
% 197.06/33.95  | |   (52)   ~ (all_52_7 = all_30_0)
% 197.06/33.95  | | 
% 197.06/33.95  | | REDUCE: (22), (49) imply:
% 197.06/33.95  | |   (53)   ~ (all_30_0 = e3)
% 197.06/33.95  | | 
% 197.06/33.95  | | REDUCE: (29), (49) imply:
% 197.06/33.95  | |   (54)   ~ (all_30_0 = e0)
% 197.06/33.95  | | 
% 197.06/33.95  | | REDUCE: (48), (50) imply:
% 197.06/33.95  | |   (55)  op(e0, e3) = all_42_0
% 197.06/33.95  | | 
% 197.06/33.95  | | BETA: splitting (24) gives:
% 197.06/33.95  | | 
% 197.06/33.95  | | Case 1:
% 197.06/33.95  | | | 
% 197.06/33.95  | | |   (56)  all_54_14 = e3
% 197.06/33.95  | | | 
% 197.06/33.95  | | | REF_CLOSE: (51), (53), (56) are inconsistent by sub-proof #1306.
% 197.06/33.95  | | | 
% 197.06/33.95  | | Case 2:
% 197.06/33.95  | | | 
% 197.06/33.95  | | |   (57)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.06/33.95  | | | 
% 197.06/33.95  | | | BETA: splitting (57) gives:
% 197.06/33.95  | | | 
% 197.06/33.95  | | | Case 1:
% 197.06/33.95  | | | | 
% 197.06/33.95  | | | |   (58)  all_54_14 = e2
% 197.06/33.95  | | | | 
% 197.06/33.95  | | | | REF_CLOSE: (33), (51), (58) are inconsistent by sub-proof #1305.
% 197.06/33.95  | | | | 
% 197.06/33.95  | | | Case 2:
% 197.06/33.95  | | | | 
% 197.06/33.95  | | | |   (59)  all_54_14 = e1 | all_54_14 = e0
% 197.06/33.95  | | | | 
% 197.06/33.95  | | | | BETA: splitting (9) gives:
% 197.06/33.95  | | | | 
% 197.06/33.95  | | | | Case 1:
% 197.06/33.95  | | | | | 
% 197.06/33.95  | | | | |   (60)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2,
% 197.06/33.95  | | | | |             e1) = e2)
% 197.06/33.95  | | | | | 
% 197.06/33.95  | | | | | BETA: splitting (60) gives:
% 197.06/33.95  | | | | | 
% 197.06/33.95  | | | | | Case 1:
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | |   (61)  all_56_4 = e2 & op(e3, e1) = e2
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | | REF_CLOSE: (32), (39), (61) are inconsistent by sub-proof #1292.
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | Case 2:
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | |   (62)  all_56_5 = e2 & op(e2, e1) = e2
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | | ALPHA: (62) implies:
% 197.06/33.95  | | | | | |   (63)  all_56_5 = e2
% 197.06/33.95  | | | | | |   (64)  op(e2, e1) = e2
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | | BETA: splitting (20) gives:
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | | Case 1:
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | |   (65)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 197.06/33.95  | | | | | | |           op(e2, e2) = e1)
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | | REF_CLOSE: (2), (3), (4), (5), (7), (21), (23), (26), (35), (36),
% 197.06/33.95  | | | | | | |            (39), (40), (65) are inconsistent by sub-proof #1843.
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | Case 2:
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | |   (66)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 &
% 197.06/33.95  | | | | | | |           op(e2, e0) = e1)
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | | BETA: splitting (66) gives:
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | | Case 1:
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | |   (67)  all_56_5 = e1 & op(e2, e1) = e1
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | | ALPHA: (67) implies:
% 197.06/33.95  | | | | | | | |   (68)  op(e2, e1) = e1
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | | REF_CLOSE: (5), (26), (64), (68) are inconsistent by sub-proof
% 197.06/33.95  | | | | | | | |            #1441.
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | Case 2:
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | |   (69)  all_56_10 = e1 & op(e2, e0) = e1
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | | ALPHA: (69) implies:
% 197.06/33.95  | | | | | | | |   (70)  all_56_10 = e1
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | | BETA: splitting (18) gives:
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | | Case 1:
% 197.06/33.95  | | | | | | | | | 
% 197.06/33.95  | | | | | | | | |   (71)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 &
% 197.06/33.95  | | | | | | | | |           op(e2, e2) = e3)
% 197.06/33.95  | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | BETA: splitting (71) gives:
% 197.06/33.95  | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | Case 1:
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | |   (72)  all_56_2 = e3 & op(e2, e3) = e3
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | | ALPHA: (72) implies:
% 197.06/33.95  | | | | | | | | | |   (73)  op(e2, e3) = e3
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (14), (18), (19),
% 197.06/33.95  | | | | | | | | | |            (20), (21), (23), (26), (27), (35), (36), (39),
% 197.06/33.95  | | | | | | | | | |            (40), (46), (55), (63), (70), (73) are
% 197.06/33.95  | | | | | | | | | |            inconsistent by sub-proof #1834.
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | Case 2:
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | |   (74)  all_56_3 = e3 & op(e2, e2) = e3
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | | ALPHA: (74) implies:
% 197.06/33.95  | | | | | | | | | |   (75)  op(e2, e2) = e3
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | | REF_CLOSE: (5), (6), (19), (75) are inconsistent by sub-proof
% 197.06/33.95  | | | | | | | | | |            #1975.
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | End of split
% 197.06/33.95  | | | | | | | | | 
% 197.06/33.95  | | | | | | | | Case 2:
% 197.06/33.95  | | | | | | | | | 
% 197.06/33.95  | | | | | | | | |   (76)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 197.06/33.95  | | | | | | | | |           op(e2, e0) = e3)
% 197.06/33.95  | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | BETA: splitting (76) gives:
% 197.06/33.95  | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | Case 1:
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | |   (77)  all_56_5 = e3 & op(e2, e1) = e3
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | | ALPHA: (77) implies:
% 197.06/33.95  | | | | | | | | | |   (78)  op(e2, e1) = e3
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | | REF_CLOSE: (5), (10), (30), (78) are inconsistent by
% 197.06/33.95  | | | | | | | | | |            sub-proof #1758.
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | Case 2:
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | |   (79)  all_56_10 = e3 & op(e2, e0) = e3
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | | ALPHA: (79) implies:
% 197.06/33.95  | | | | | | | | | |   (80)  all_56_10 = e3
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | | REF_CLOSE: (36), (70), (80) are inconsistent by sub-proof
% 197.06/33.95  | | | | | | | | | |            #1742.
% 197.06/33.95  | | | | | | | | | | 
% 197.06/33.95  | | | | | | | | | End of split
% 197.06/33.95  | | | | | | | | | 
% 197.06/33.95  | | | | | | | | End of split
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | End of split
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | End of split
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | End of split
% 197.06/33.95  | | | | | 
% 197.06/33.95  | | | | Case 2:
% 197.06/33.95  | | | | | 
% 197.06/33.95  | | | | |   (81)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0,
% 197.06/33.95  | | | | |             e1) = e2)
% 197.06/33.95  | | | | | 
% 197.06/33.95  | | | | | BETA: splitting (81) gives:
% 197.06/33.95  | | | | | 
% 197.06/33.95  | | | | | Case 1:
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | |   (82)  all_56_8 = e2 & op(e1, e1) = e2
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | | ALPHA: (82) implies:
% 197.06/33.95  | | | | | |   (83)  op(e1, e1) = e2
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | | REF_CLOSE: (4), (5), (38), (83) are inconsistent by sub-proof #1777.
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | Case 2:
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | |   (84)  all_56_14 = e2 & op(e0, e1) = e2
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | | ALPHA: (84) implies:
% 197.06/33.95  | | | | | |   (85)  all_56_14 = e2
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | | BETA: splitting (11) gives:
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | | Case 1:
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | |   (86)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 197.06/33.95  | | | | | | |           op(e0, e2) = e1)
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | | BETA: splitting (86) gives:
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | | Case 1:
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | |   (87)  all_56_12 = e1 & op(e0, e3) = e1
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | | ALPHA: (87) implies:
% 197.06/33.95  | | | | | | | |   (88)  op(e0, e3) = e1
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | | REF_CLOSE: (1), (5), (12), (88) are inconsistent by sub-proof
% 197.06/33.95  | | | | | | | |            #1950.
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | Case 2:
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | |   (89)  all_56_13 = e1 & op(e0, e2) = e1
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | | REF_CLOSE: (5), (37), (51), (52), (54), (59), (89) are
% 197.06/33.95  | | | | | | | |            inconsistent by sub-proof #1244.
% 197.06/33.95  | | | | | | | | 
% 197.06/33.95  | | | | | | | End of split
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | Case 2:
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | |   (90)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 197.06/33.95  | | | | | | |           op(e0, e0) = e1)
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | | REF_CLOSE: (5), (21), (26), (31), (85), (90) are inconsistent by
% 197.06/33.95  | | | | | | |            sub-proof #1595.
% 197.06/33.95  | | | | | | | 
% 197.06/33.95  | | | | | | End of split
% 197.06/33.95  | | | | | | 
% 197.06/33.95  | | | | | End of split
% 197.06/33.95  | | | | | 
% 197.06/33.95  | | | | End of split
% 197.06/33.95  | | | | 
% 197.06/33.95  | | | End of split
% 197.06/33.95  | | | 
% 197.06/33.95  | | End of split
% 197.06/33.95  | | 
% 197.06/33.95  | Case 2:
% 197.06/33.95  | | 
% 197.06/33.95  | |   (91)   ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 & $i(all_42_1)
% 197.06/33.95  | | 
% 197.06/33.95  | | REF_CLOSE: (5), (25), (91) are inconsistent by sub-proof #1243.
% 197.06/33.95  | | 
% 197.06/33.95  | End of split
% 197.06/33.95  | 
% 197.06/33.95  End of proof
% 197.06/33.95  
% 197.06/33.95  Sub-proof #1243 shows that the following formulas are inconsistent:
% 197.06/33.95  ----------------------------------------------------------------
% 197.06/33.95    (1)   ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 & $i(all_42_1)
% 197.06/33.95    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.95           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.95    (3)  op(e3, e1) = e0
% 197.06/33.95  
% 197.06/33.95  Begin of proof
% 197.06/33.95  | 
% 197.06/33.95  | ALPHA: (1) implies:
% 197.06/33.95  |   (4)   ~ (all_42_1 = e0)
% 197.06/33.95  |   (5)  op(e3, e1) = all_42_1
% 197.06/33.95  | 
% 197.06/33.95  | GROUND_INST: instantiating (2) with e0, all_42_1, e1, e3, simplifying with
% 197.06/33.95  |              (3), (5) gives:
% 197.06/33.95  |   (6)  all_42_1 = e0
% 197.06/33.95  | 
% 197.06/33.95  | REDUCE: (4), (6) imply:
% 197.06/33.95  |   (7)  $false
% 197.06/33.95  | 
% 197.06/33.95  | CLOSE: (7) is inconsistent.
% 197.06/33.95  | 
% 197.06/33.95  End of proof
% 197.06/33.95  
% 197.06/33.95  Sub-proof #1244 shows that the following formulas are inconsistent:
% 197.06/33.95  ----------------------------------------------------------------
% 197.06/33.95    (1)   ~ (all_30_0 = e0)
% 197.06/33.95    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.95           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.95    (3)  all_56_13 = e1 & op(e0, e2) = e1
% 197.06/33.95    (4)  all_54_14 = all_30_0
% 197.06/33.95    (5)   ~ (all_52_7 = all_30_0)
% 197.06/33.95    (6)  all_54_14 = e1 | all_54_14 = e0
% 197.06/33.95    (7)  op(e0, e2) = all_52_7
% 197.06/33.95  
% 197.06/33.95  Begin of proof
% 197.06/33.95  | 
% 197.06/33.95  | ALPHA: (3) implies:
% 197.06/33.95  |   (8)  op(e0, e2) = e1
% 197.06/33.95  | 
% 197.06/33.95  | BETA: splitting (6) gives:
% 197.06/33.95  | 
% 197.06/33.95  | Case 1:
% 197.06/33.95  | | 
% 197.06/33.95  | |   (9)  all_54_14 = e1
% 197.06/33.95  | | 
% 197.06/33.95  | | COMBINE_EQS: (4), (9) imply:
% 197.06/33.95  | |   (10)  all_30_0 = e1
% 197.06/33.95  | | 
% 197.06/33.95  | | SIMP: (10) implies:
% 197.06/33.95  | |   (11)  all_30_0 = e1
% 197.06/33.95  | | 
% 197.06/33.95  | | REDUCE: (5), (11) imply:
% 197.06/33.95  | |   (12)   ~ (all_52_7 = e1)
% 197.06/33.95  | | 
% 197.06/33.95  | | REF_CLOSE: (2), (7), (8), (12) are inconsistent by sub-proof #1649.
% 197.06/33.95  | | 
% 197.06/33.95  | Case 2:
% 197.06/33.95  | | 
% 197.06/33.95  | |   (13)  all_54_14 = e0
% 197.06/33.95  | | 
% 197.06/33.95  | | REF_CLOSE: (1), (4), (13) are inconsistent by sub-proof #1294.
% 197.06/33.95  | | 
% 197.06/33.95  | End of split
% 197.06/33.95  | 
% 197.06/33.95  End of proof
% 197.06/33.95  
% 197.06/33.95  Sub-proof #1245 shows that the following formulas are inconsistent:
% 197.06/33.95  ----------------------------------------------------------------
% 197.06/33.95    (1)   ~ (all_52_1 = all_4_2)
% 197.06/33.95    (2)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.06/33.95    (3)  op(e1, e3) = all_52_2
% 197.06/33.95    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.06/33.95           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.06/33.95           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.06/33.95                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.06/33.95               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.06/33.95               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.06/33.95           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.06/33.95           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.06/33.95               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.06/33.95           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.06/33.95               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.06/33.95           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.06/33.95           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.06/33.95               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.06/33.95               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.95               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.95         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.06/33.95           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.06/33.95           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.06/33.95               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.06/33.95             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.06/33.95         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.06/33.95           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.06/33.95           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.06/33.95                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.06/33.95               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.06/33.95               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.06/33.95           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.06/33.95           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.06/33.95             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.95           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.06/33.95               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.06/33.95           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.06/33.95           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.06/33.95               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.06/33.95               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.95               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.95         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.06/33.95           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.06/33.95           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.06/33.95               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.06/33.95             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.06/33.95         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.06/33.95           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.06/33.95           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.06/33.95                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.06/33.95               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.06/33.95               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.06/33.95           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.06/33.95             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.06/33.95               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.95           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.06/33.95               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.06/33.95           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.06/33.95           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.06/33.95               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.06/33.95               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.06/33.95               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.06/33.95         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.06/33.95           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.06/33.95           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.06/33.95               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.06/33.95             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.06/33.95         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.06/33.95             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.95           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.06/33.95               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.06/33.95             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.06/33.95         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.06/33.95             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.95           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.06/33.95               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.06/33.95             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.06/33.95         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.06/33.95             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.06/33.95           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.06/33.95               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.06/33.95             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.95         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.06/33.95             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.06/33.95           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.06/33.95               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.06/33.95             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.06/33.95    (5)  all_54_7 = all_52_13
% 197.06/33.95    (6)   ~ (all_52_14 = e0)
% 197.06/33.95    (7)   ~ (all_4_2 = e0)
% 197.06/33.95    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.95           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.95    (9)  op(e2, e2) = all_4_2
% 197.06/33.95    (10)   ~ (all_52_12 = all_52_13)
% 197.06/33.95    (11)  op(e3, e3) = e1
% 197.06/33.95    (12)  op(e0, e3) = all_52_3
% 197.06/33.95    (13)  op(e2, e0) = all_52_13
% 197.06/33.95    (14)  op(e1, e0) = all_52_14
% 197.06/33.96    (15)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.06/33.96              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.06/33.96            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.06/33.96            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.06/33.96            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.06/33.96            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.06/33.96            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.06/33.96            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.06/33.96            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.06/33.96            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.06/33.96            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.06/33.96            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.06/33.96            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.06/33.96            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.06/33.96            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.06/33.96            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.06/33.96            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.06/33.96            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.06/33.96            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.06/33.96            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.06/33.96            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.06/33.96            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.06/33.96            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.06/33.96            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.06/33.96            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.06/33.96            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.06/33.96            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.06/33.96            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.06/33.96            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.06/33.96            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.06/33.96            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.06/33.96            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.06/33.96            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.06/33.96            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.06/33.96            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.06/33.96            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.06/33.96            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.96            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.06/33.96            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.06/33.96            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.96            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.06/33.96            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.06/33.96            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.06/33.96            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.06/33.96            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.06/33.96            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.06/33.96            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.06/33.96            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.06/33.96              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.06/33.96            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.06/33.96            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.06/33.96              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.06/33.96            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.06/33.96            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.06/33.96                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.06/33.96                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.06/33.96                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.06/33.96                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.06/33.96                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.06/33.96                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.06/33.96                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.06/33.96              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.06/33.96                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.06/33.96                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.06/33.96                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.06/33.96                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.06/33.96                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.06/33.96                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.06/33.96                $i(all_57_7))))
% 197.06/33.96    (16)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.06/33.96          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.06/33.96    (17)  op(e0, e1) = all_52_11
% 197.06/33.96    (18)   ~ (all_4_2 = e1)
% 197.06/33.96    (19)   ~ (all_4_2 = e3)
% 197.06/33.96    (20)   ~ (all_52_8 = all_52_12)
% 197.06/33.96    (21)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.06/33.96    (22)   ~ (e1 = e0)
% 197.06/33.96    (23)  all_54_5 = all_4_2
% 197.06/33.96    (24)   ~ (all_52_11 = e0)
% 197.06/33.96    (25)   ~ (all_52_3 = e0)
% 197.06/33.96    (26)   ~ (all_52_13 = all_4_2)
% 197.06/33.96    (27)   ~ (all_52_2 = e1)
% 197.06/33.96    (28)  op(e3, e0) = all_52_12
% 197.06/33.96    (29)   ~ (all_52_9 = all_4_2)
% 197.06/33.96    (30)  op(e2, e1) = all_52_9
% 197.06/33.96    (31)  op(e0, e0) = e0
% 197.06/33.96    (32)   ~ (all_52_13 = e0)
% 197.06/33.96    (33)  op(e3, e1) = all_52_8
% 197.06/33.96    (34)   ~ (all_52_9 = all_52_13)
% 197.06/33.96    (35)  op(e1, e1) = e3
% 197.06/33.96    (36)  op(e2, e3) = all_52_1
% 197.06/33.96    (37)   ~ (e3 = e0)
% 197.06/33.96  
% 197.06/33.96  Begin of proof
% 197.06/33.96  | 
% 197.06/33.96  | BETA: splitting (2) gives:
% 197.06/33.96  | 
% 197.06/33.96  | Case 1:
% 197.06/33.96  | | 
% 197.06/33.96  | |   (38)  all_54_5 = e3
% 197.06/33.96  | | 
% 197.06/33.96  | | COMBINE_EQS: (23), (38) imply:
% 197.06/33.96  | |   (39)  all_4_2 = e3
% 197.06/33.96  | | 
% 197.06/33.96  | | REDUCE: (19), (39) imply:
% 197.06/33.96  | |   (40)  $false
% 197.06/33.96  | | 
% 197.06/33.96  | | CLOSE: (40) is inconsistent.
% 197.06/33.96  | | 
% 197.06/33.96  | Case 2:
% 197.06/33.96  | | 
% 197.06/33.96  | |   (41)   ~ (all_54_5 = e3)
% 197.06/33.96  | |   (42)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.06/33.96  | | 
% 197.06/33.96  | | BETA: splitting (42) gives:
% 197.06/33.96  | | 
% 197.06/33.96  | | Case 1:
% 197.06/33.96  | | | 
% 197.06/33.96  | | |   (43)  all_54_5 = e2
% 197.06/33.96  | | | 
% 197.06/33.96  | | | COMBINE_EQS: (23), (43) imply:
% 197.06/33.96  | | |   (44)  all_4_2 = e2
% 197.06/33.96  | | | 
% 197.06/33.96  | | | REDUCE: (1), (44) imply:
% 197.06/33.96  | | |   (45)   ~ (all_52_1 = e2)
% 197.06/33.96  | | | 
% 197.06/33.96  | | | REDUCE: (29), (44) imply:
% 197.06/33.96  | | |   (46)   ~ (all_52_9 = e2)
% 197.06/33.96  | | | 
% 197.06/33.96  | | | REDUCE: (26), (44) imply:
% 197.06/33.96  | | |   (47)   ~ (all_52_13 = e2)
% 197.06/33.96  | | | 
% 197.06/33.96  | | | REDUCE: (19), (44) imply:
% 197.06/33.96  | | |   (48)   ~ (e3 = e2)
% 197.06/33.96  | | | 
% 197.06/33.96  | | | SIMP: (48) implies:
% 197.06/33.96  | | |   (49)   ~ (e3 = e2)
% 197.06/33.96  | | | 
% 197.06/33.96  | | | REDUCE: (18), (44) imply:
% 197.06/33.96  | | |   (50)   ~ (e2 = e1)
% 197.06/33.96  | | | 
% 197.06/33.96  | | | REDUCE: (7), (44) imply:
% 197.06/33.96  | | |   (51)   ~ (e2 = e0)
% 197.06/33.96  | | | 
% 197.06/33.96  | | | REDUCE: (9), (44) imply:
% 197.06/33.96  | | |   (52)  op(e2, e2) = e2
% 197.06/33.96  | | | 
% 197.06/33.96  | | | BETA: splitting (15) gives:
% 197.06/33.96  | | | 
% 197.06/33.96  | | | Case 1:
% 197.06/33.96  | | | | 
% 197.06/33.96  | | | |   (53)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.06/33.96  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.06/33.96  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.06/33.96  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 197.06/33.96  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.06/33.96  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 197.06/33.96  | | | |           e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.06/33.96  | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 197.06/33.96  | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.06/33.96  | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.06/33.96  | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.06/33.96  | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.06/33.96  | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.06/33.96  | | | |           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.06/33.96  | | | |           (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 197.06/33.96  | | | |           & op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.06/33.96  | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 =
% 197.06/33.96  | | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.06/33.96  | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 197.06/33.96  | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 197.06/33.96  | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.06/33.96  | | | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.06/33.96  | | | |           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.06/33.96  | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.06/33.96  | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.06/33.96  | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.06/33.96  | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 197.06/33.96  | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 197.06/33.96  | | | |           & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.06/33.96  | | | |           $i(all_57_7) & $i(all_57_10))
% 197.06/33.96  | | | | 
% 197.06/33.96  | | | | BETA: splitting (53) gives:
% 197.06/33.96  | | | | 
% 197.06/33.96  | | | | Case 1:
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | |   (54)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.06/33.96  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 197.06/33.96  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.06/33.96  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 197.06/33.96  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.06/33.96  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 197.06/33.96  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.06/33.96  | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 197.06/33.96  | | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.06/33.96  | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.06/33.96  | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.06/33.96  | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 197.06/33.96  | | | | |           & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.06/33.96  | | | | |           $i(all_57_14))
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | | BETA: splitting (54) gives:
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | | Case 1:
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | |   (55)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.06/33.96  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.06/33.96  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.06/33.96  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 197.06/33.96  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 197.06/33.96  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.06/33.96  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | | REF_CLOSE: (8), (36), (45), (55) are inconsistent by sub-proof
% 197.06/33.96  | | | | | |            #1784.
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | Case 2:
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | |   (56)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.06/33.96  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 197.06/33.96  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 197.06/33.96  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 197.06/33.96  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.06/33.96  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 197.06/33.96  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | | REF_CLOSE: (3), (8), (9), (19), (27), (56) are inconsistent by
% 197.06/33.96  | | | | | |            sub-proof #1973.
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | End of split
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | Case 2:
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | |   (57)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.06/33.96  | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3
% 197.06/33.96  | | | | |           & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.06/33.96  | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.06/33.96  | | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.06/33.96  | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 197.06/33.96  | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1
% 197.06/33.96  | | | | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2)
% 197.06/33.96  | | | | |           & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 197.06/33.96  | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.06/33.96  | | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.06/33.96  | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 197.06/33.96  | | | | |           & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.06/33.96  | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 197.06/33.96  | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.06/33.96  | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.06/33.96  | | | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | | BETA: splitting (57) gives:
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | | Case 1:
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | |   (58)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.06/33.96  | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 197.06/33.96  | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.06/33.96  | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15
% 197.06/33.96  | | | | | |           = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3,
% 197.06/33.96  | | | | | |             e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.06/33.96  | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | | REF_CLOSE: (8), (31), (35), (49), (51), (58) are inconsistent by
% 197.06/33.96  | | | | | |            sub-proof #1248.
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | Case 2:
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | |   (59)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.06/33.96  | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 197.06/33.96  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 197.06/33.96  | | | | | |           & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 197.06/33.96  | | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.06/33.96  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.06/33.96  | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 197.06/33.96  | | | | | |           e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.06/33.96  | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 197.06/33.96  | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.06/33.96  | | | | | |           $i(all_57_10))
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | | REF_CLOSE: (8), (11), (31), (50), (51), (52), (59) are inconsistent
% 197.06/33.96  | | | | | |            by sub-proof #1486.
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | End of split
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | End of split
% 197.06/33.96  | | | | 
% 197.06/33.96  | | | Case 2:
% 197.06/33.96  | | | | 
% 197.06/33.96  | | | |   (60)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.06/33.96  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.06/33.96  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.06/33.96  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 197.06/33.96  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 197.06/33.96  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 197.06/33.96  | | | |           e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.06/33.96  | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 197.06/33.96  | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.06/33.96  | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.06/33.96  | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.06/33.96  | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.96  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.06/33.96  | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.06/33.96  | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.06/33.96  | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.06/33.96  | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 &
% 197.06/33.96  | | | |           all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 = e0) &
% 197.06/33.96  | | | |           op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 197.06/33.96  | | | |           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.06/33.96  | | | |         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 197.06/33.96  | | | |           (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.06/33.96  | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.06/33.96  | | | |           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 197.06/33.96  | | | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.06/33.96  | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 197.06/33.96  | | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 197.06/33.96  | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.06/33.96  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 197.06/33.96  | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 197.06/33.96  | | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.06/33.96  | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3)
% 197.06/33.96  | | | |               & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.06/33.96  | | | |               e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.06/33.96  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.06/33.96  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.06/33.96  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.06/33.96  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.06/33.96  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.06/33.96  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.06/33.96  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 197.06/33.96  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.06/33.96  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 197.06/33.96  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 197.06/33.96  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.06/33.96  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.06/33.96  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.06/33.96  | | | | 
% 197.06/33.96  | | | | BETA: splitting (60) gives:
% 197.06/33.96  | | | | 
% 197.06/33.96  | | | | Case 1:
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | |   (61)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.06/33.96  | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 197.06/33.96  | | | | |           & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.06/33.96  | | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 197.06/33.96  | | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 197.06/33.96  | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 197.06/33.96  | | | | |           = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.06/33.96  | | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 197.06/33.96  | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.06/33.96  | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.06/33.96  | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.06/33.96  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 197.06/33.96  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.06/33.96  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.06/33.96  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.06/33.96  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.06/33.96  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | | BETA: splitting (61) gives:
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | | Case 1:
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | |   (62)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.06/33.96  | | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 197.06/33.96  | | | | | |           e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.06/33.96  | | | | | |           $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 & all_57_10
% 197.06/33.96  | | | | | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3,
% 197.06/33.96  | | | | | |             e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.06/33.96  | | | | | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.06/33.96  | | | | | |           $i(all_57_12))
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | | REF_CLOSE: (8), (22), (30), (31), (46), (62) are inconsistent by
% 197.06/33.96  | | | | | |            sub-proof #1485.
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | Case 2:
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | |   (63)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.06/33.96  | | | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) =
% 197.06/33.96  | | | | | |           e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.06/33.96  | | | | | |           $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12
% 197.06/33.96  | | | | | |           = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3,
% 197.06/33.96  | | | | | |             e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.06/33.96  | | | | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 197.06/33.96  | | | | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.06/33.96  | | | | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 197.06/33.96  | | | | | |           e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.06/33.96  | | | | | |           $i(all_57_10) & $i(all_57_13))
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | | REF_CLOSE: (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 197.06/33.96  | | | | | |            (14), (15), (16), (17), (19), (20), (21), (22), (24),
% 197.06/33.96  | | | | | |            (25), (27), (28), (30), (31), (32), (33), (34), (37),
% 197.06/33.96  | | | | | |            (46), (47), (50), (51), (52), (63) are inconsistent by
% 197.06/33.96  | | | | | |            sub-proof #1247.
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | End of split
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | Case 2:
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | |   (64)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.06/33.96  | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.06/33.96  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.06/33.96  | | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 197.06/33.96  | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.06/33.96  | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 197.06/33.96  | | | | |           = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 197.06/33.96  | | | | |           all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 197.06/33.96  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.06/33.96  | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.06/33.96  | | | | |         (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.06/33.96  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.06/33.96  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.06/33.96  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.06/33.96  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.06/33.96  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 197.06/33.96  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.06/33.96  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.06/33.96  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.06/33.96  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.06/33.96  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 197.06/33.96  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.06/33.96  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 197.06/33.96  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.06/33.96  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.06/33.96  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.06/33.96  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 197.06/33.96  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.06/33.96  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.06/33.96  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 197.06/33.96  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.06/33.96  | | | | |               $i(all_57_7))))
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | | BETA: splitting (64) gives:
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | | Case 1:
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | |   (65)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.06/33.96  | | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9
% 197.06/33.96  | | | | | |           & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 197.06/33.96  | | | | | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 197.06/33.96  | | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.06/33.96  | | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1,
% 197.06/33.96  | | | | | |             e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | | REF_CLOSE: (8), (11), (22), (65) are inconsistent by sub-proof
% 197.06/33.96  | | | | | |            #1936.
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | Case 2:
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | |   (66)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.06/33.96  | | | | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) =
% 197.06/33.96  | | | | | |           e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.06/33.96  | | | | | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 197.06/33.96  | | | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0)
% 197.06/33.96  | | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 197.06/33.96  | | | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.06/33.96  | | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.06/33.96  | | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.06/33.96  | | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2)
% 197.06/33.96  | | | | | |               = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 =
% 197.06/33.96  | | | | | |               e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.06/33.96  | | | | | |               (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1)
% 197.06/33.96  | | | | | |               = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 197.06/33.96  | | | | | |               e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.06/33.96  | | | | | |               (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.06/33.96  | | | | | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 197.06/33.96  | | | | | |               = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.06/33.96  | | | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1)
% 197.06/33.96  | | | | | |               = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 197.06/33.96  | | | | | |               e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.06/33.96  | | | | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.06/33.96  | | | | | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 197.06/33.96  | | | | | |               = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.06/33.96  | | | | | |               (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.06/33.96  | | | | | |               all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | | BETA: splitting (66) gives:
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | | Case 1:
% 197.06/33.96  | | | | | | | 
% 197.06/33.96  | | | | | | |   (67)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.06/33.96  | | | | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) =
% 197.06/33.96  | | | | | | |         e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.06/33.96  | | | | | | |         $i(all_57_12) & $i(all_57_13)
% 197.06/33.96  | | | | | | | 
% 197.06/33.96  | | | | | | | ALPHA: (67) implies:
% 197.06/33.96  | | | | | | |   (68)  op(e2, e0) = e2
% 197.06/33.96  | | | | | | | 
% 197.06/33.96  | | | | | | | REF_CLOSE: (8), (13), (47), (68) are inconsistent by sub-proof
% 197.06/33.96  | | | | | | |            #1662.
% 197.06/33.96  | | | | | | | 
% 197.06/33.96  | | | | | | Case 2:
% 197.06/33.96  | | | | | | | 
% 197.06/33.96  | | | | | | |   (69)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 197.06/33.96  | | | | | | |           ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.06/33.96  | | | | | | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.06/33.96  | | | | | | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 197.06/33.96  | | | | | | |           & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 197.06/33.96  | | | | | | |               (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.06/33.96  | | | | | | |               all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.06/33.96  | | | | | | |               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.06/33.96  | | | | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.06/33.96  | | | | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.06/33.96  | | | | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.06/33.96  | | | | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.06/33.96  | | | | | | |               e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.06/33.96  | | | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 197.06/33.96  | | | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.06/33.96  | | | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.06/33.96  | | | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.06/33.96  | | | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.06/33.96  | | | | | | |               e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.06/33.96  | | | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.06/33.96  | | | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 197.06/33.96  | | | | | | |               e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.06/33.96  | | | | | | |               $i(all_57_7))))
% 197.06/33.96  | | | | | | | 
% 197.06/33.96  | | | | | | | BETA: splitting (69) gives:
% 197.06/33.96  | | | | | | | 
% 197.06/33.96  | | | | | | | Case 1:
% 197.06/33.96  | | | | | | | | 
% 197.06/33.96  | | | | | | | |   (70)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 197.06/33.96  | | | | | | | |         ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.06/33.96  | | | | | | | |         all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.06/33.96  | | | | | | | |         $i(all_57_11) & $i(all_57_14)
% 197.06/33.96  | | | | | | | | 
% 197.06/33.96  | | | | | | | | ALPHA: (70) implies:
% 197.06/33.96  | | | | | | | |   (71)  op(e2, e2) = e0
% 197.06/33.96  | | | | | | | | 
% 197.06/33.96  | | | | | | | | REF_CLOSE: (8), (51), (52), (71) are inconsistent by sub-proof
% 197.06/33.96  | | | | | | | |            #1939.
% 197.06/33.96  | | | | | | | | 
% 197.06/33.96  | | | | | | | Case 2:
% 197.06/33.96  | | | | | | | | 
% 197.06/33.96  | | | | | | | |   (72)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0
% 197.06/33.96  | | | | | | | |             & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.06/33.96  | | | | | | | |             (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 197.06/33.96  | | | | | | | |               e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 197.06/33.96  | | | | | | | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 197.06/33.96  | | | | | | | |              ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 197.06/33.96  | | | | | | | |               e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.06/33.96  | | | | | | | |           (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &
% 197.06/33.96  | | | | | | | |              ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.06/33.96  | | | | | | | |             all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.06/33.96  | | | | | | | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 197.06/33.96  | | | | | | | |              ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1,
% 197.06/33.96  | | | | | | | |               e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.06/33.96  | | | | | | | |           (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &
% 197.06/33.96  | | | | | | | |              ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.06/33.96  | | | | | | | |             all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.06/33.96  | | | | | | | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 197.06/33.96  | | | | | | | |              ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.06/33.96  | | | | | | | |             all_57_7 & op(e0, e1) = e0 & $i(all_57_7)))
% 197.06/33.96  | | | | | | | | 
% 197.06/33.96  | | | | | | | | ALPHA: (72) implies:
% 197.06/33.96  | | | | | | | |   (73)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) & 
% 197.06/33.96  | | | | | | | |           ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 197.06/33.96  | | | | | | | |             e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 197.06/33.96  | | | | | | | |         (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.06/33.96  | | | | | | | |           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 197.06/33.96  | | | | | | | |             e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.06/33.96  | | | | | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.06/33.96  | | | | | | | |           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.06/33.96  | | | | | | | |           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 197.06/33.96  | | | | | | | |           = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.06/33.96  | | | | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1)
% 197.06/33.96  | | | | | | | |           = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 197.06/33.96  | | | | | | | |           e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.06/33.96  | | | | | | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.06/33.96  | | | | | | | |           all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8
% 197.06/33.96  | | | | | | | |           = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.06/33.96  | | | | | | | |           (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.06/33.96  | | | | | | | |           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.06/33.96  | | | | | | | | 
% 197.06/33.96  | | | | | | | | REF_CLOSE: (8), (9), (11), (12), (17), (19), (24), (25), (35),
% 197.06/33.96  | | | | | | | |            (49), (50), (52), (73) are inconsistent by sub-proof
% 197.06/33.96  | | | | | | | |            #1246.
% 197.06/33.96  | | | | | | | | 
% 197.06/33.96  | | | | | | | End of split
% 197.06/33.96  | | | | | | | 
% 197.06/33.96  | | | | | | End of split
% 197.06/33.96  | | | | | | 
% 197.06/33.96  | | | | | End of split
% 197.06/33.96  | | | | | 
% 197.06/33.96  | | | | End of split
% 197.06/33.96  | | | | 
% 197.06/33.96  | | | End of split
% 197.06/33.96  | | | 
% 197.06/33.96  | | Case 2:
% 197.06/33.96  | | | 
% 197.06/33.96  | | |   (74)  all_54_5 = e1 | all_54_5 = e0
% 197.06/33.96  | | | 
% 197.06/33.96  | | | REF_CLOSE: (7), (18), (23), (74) are inconsistent by sub-proof #1941.
% 197.06/33.96  | | | 
% 197.06/33.96  | | End of split
% 197.06/33.96  | | 
% 197.06/33.96  | End of split
% 197.06/33.96  | 
% 197.06/33.96  End of proof
% 197.06/33.96  
% 197.06/33.96  Sub-proof #1246 shows that the following formulas are inconsistent:
% 197.06/33.96  ----------------------------------------------------------------
% 197.06/33.96    (1)   ~ (e3 = e2)
% 197.06/33.96    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.96    (3)  op(e2, e2) = all_4_2
% 197.06/33.96    (4)  op(e3, e3) = e1
% 197.06/33.96    (5)  op(e0, e3) = all_52_3
% 197.06/33.96    (6)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.06/33.96             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.06/33.96           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.06/33.96           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.06/33.96             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.06/33.96           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.06/33.96           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.06/33.96           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.06/33.96           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.06/33.96           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.06/33.96           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.06/33.96         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.06/33.96             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.06/33.96           $i(all_57_7))
% 197.06/33.96    (7)  op(e0, e1) = all_52_11
% 197.06/33.96    (8)   ~ (all_4_2 = e3)
% 197.06/33.96    (9)   ~ (e2 = e1)
% 197.06/33.96    (10)   ~ (all_52_11 = e0)
% 197.06/33.96    (11)   ~ (all_52_3 = e0)
% 197.06/33.96    (12)  op(e2, e2) = e2
% 197.06/33.96    (13)  op(e1, e1) = e3
% 197.06/33.96  
% 197.06/33.96  Begin of proof
% 197.06/33.96  | 
% 197.06/33.96  | BETA: splitting (6) gives:
% 197.06/33.96  | 
% 197.06/33.96  | Case 1:
% 197.06/33.96  | | 
% 197.06/33.96  | |   (14)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 197.06/33.96  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.06/33.96  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.06/33.96  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 197.06/33.96  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 197.06/33.96  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.06/33.96  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.06/33.96  | |           $i(all_57_3))
% 197.06/33.96  | | 
% 197.06/33.96  | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (11), (14) are inconsistent by
% 197.06/33.96  | |            sub-proof #1932.
% 197.06/33.96  | | 
% 197.06/33.96  | Case 2:
% 197.06/33.96  | | 
% 197.06/33.96  | |   (15)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.06/33.96  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.06/33.96  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.06/33.96  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.06/33.96  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.06/33.96  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.06/33.96  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.06/33.96  | |           $i(all_57_7))
% 197.06/33.96  | | 
% 197.06/33.96  | | BETA: splitting (15) gives:
% 197.06/33.96  | | 
% 197.06/33.96  | | Case 1:
% 197.06/33.96  | | | 
% 197.06/33.97  | | |   (16)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.06/33.97  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.06/33.97  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 197.06/33.97  | | | 
% 197.06/33.97  | | | ALPHA: (16) implies:
% 197.06/33.97  | | |   (17)  op(e1, e1) = e2
% 197.06/33.97  | | | 
% 197.06/33.97  | | | REF_CLOSE: (1), (2), (13), (17) are inconsistent by sub-proof #1777.
% 197.06/33.97  | | | 
% 197.06/33.97  | | Case 2:
% 197.06/33.97  | | | 
% 197.06/33.97  | | |   (18)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.06/33.97  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.06/33.97  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.06/33.97  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 197.06/33.97  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.06/33.97  | | | 
% 197.06/33.97  | | | REF_CLOSE: (2), (7), (9), (10), (12), (18) are inconsistent by sub-proof
% 197.06/33.97  | | |            #1474.
% 197.06/33.97  | | | 
% 197.06/33.97  | | End of split
% 197.06/33.97  | | 
% 197.06/33.97  | End of split
% 197.06/33.97  | 
% 197.06/33.97  End of proof
% 197.06/33.97  
% 197.06/33.97  Sub-proof #1247 shows that the following formulas are inconsistent:
% 197.06/33.97  ----------------------------------------------------------------
% 197.06/33.97    (1)  op(e1, e3) = all_52_2
% 197.06/33.97    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.06/33.97           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.06/33.97           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.06/33.97                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.06/33.97               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.06/33.97               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.06/33.97           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.06/33.97           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.06/33.97               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.06/33.97           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.06/33.97               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.06/33.97           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.06/33.97           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.06/33.97               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.06/33.97               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.97               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.97         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.06/33.97           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.06/33.97           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.06/33.97               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.06/33.97             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.06/33.97         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.06/33.97           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.06/33.97           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.06/33.97                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.06/33.97               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.06/33.97               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.06/33.97           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.06/33.97           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.06/33.97             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.97           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.06/33.97               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.06/33.97           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.06/33.97           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.06/33.97               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.06/33.97               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.97               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.97         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.06/33.97           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.06/33.97           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.06/33.97               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.06/33.97             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.06/33.97         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.06/33.97           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.06/33.97           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.06/33.97                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.06/33.97               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.06/33.97               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.06/33.97           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.06/33.97             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.06/33.97               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.97           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.06/33.97               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.06/33.97           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.06/33.97           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.06/33.97               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.06/33.97               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.06/33.97               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.06/33.97         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.06/33.97           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.06/33.97           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.06/33.97               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.06/33.97             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.06/33.97         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.06/33.97             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.97           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.06/33.97               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.06/33.97             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.06/33.97         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.06/33.97             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.97           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.06/33.97               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.06/33.97             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.06/33.97         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.06/33.97             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.06/33.97           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.06/33.97               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.06/33.97             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.97         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.06/33.97             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.06/33.97           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.06/33.97               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.06/33.97             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.06/33.97    (3)  all_54_7 = all_52_13
% 197.06/33.97    (4)   ~ (all_52_14 = e0)
% 197.06/33.97    (5)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 197.06/33.97             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.06/33.97           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 197.06/33.97           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 197.06/33.97           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 197.06/33.97           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.06/33.97           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 197.06/33.97           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.06/33.97           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.06/33.97    (6)   ~ (all_52_13 = e2)
% 197.06/33.97    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.97    (8)  op(e2, e2) = all_4_2
% 197.06/33.97    (9)   ~ (all_52_12 = all_52_13)
% 197.06/33.97    (10)  op(e3, e3) = e1
% 197.06/33.97    (11)  op(e0, e3) = all_52_3
% 197.06/33.97    (12)  op(e2, e0) = all_52_13
% 197.06/33.97    (13)  op(e1, e0) = all_52_14
% 197.06/33.97    (14)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.06/33.97              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.06/33.97            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.06/33.97            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.06/33.97            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.06/33.97            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.06/33.97            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.06/33.97            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.06/33.97            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.06/33.97            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.06/33.97            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.06/33.97            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.06/33.97            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.06/33.97            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.06/33.97            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.06/33.97            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.06/33.97            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.06/33.97            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.06/33.97            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.06/33.97            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.06/33.97            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.06/33.97            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.06/33.97            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.06/33.97            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.06/33.97            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.06/33.97            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.06/33.97            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.06/33.97            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.06/33.97            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.06/33.97            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.06/33.97            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.06/33.97            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.06/33.97            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.06/33.97            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.06/33.97            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.06/33.97            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.06/33.97            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.97            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.06/33.97            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.06/33.97            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.97            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.06/33.97            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.06/33.97            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.06/33.97            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.06/33.97            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.06/33.97            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.06/33.97            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.06/33.97            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.06/33.97              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.06/33.97            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.06/33.97            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.06/33.97              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.06/33.97            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.06/33.97            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.06/33.97                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.06/33.97                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.06/33.97                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.06/33.97                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.06/33.97                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.06/33.97                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.06/33.97                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.06/33.97              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.06/33.97                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.06/33.97                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.06/33.97                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.06/33.97                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.06/33.97                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.06/33.97                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.06/33.97                $i(all_57_7))))
% 197.06/33.97    (15)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.06/33.97          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.06/33.97    (16)   ~ (all_52_9 = e2)
% 197.06/33.97    (17)  op(e0, e1) = all_52_11
% 197.06/33.97    (18)   ~ (all_4_2 = e3)
% 197.06/33.97    (19)   ~ (all_52_8 = all_52_12)
% 197.06/33.97    (20)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.06/33.97    (21)   ~ (e1 = e0)
% 197.06/33.97    (22)   ~ (e2 = e1)
% 197.06/33.97    (23)   ~ (all_52_11 = e0)
% 197.06/33.97    (24)   ~ (all_52_3 = e0)
% 197.06/33.97    (25)   ~ (all_52_2 = e1)
% 197.06/33.97    (26)  op(e3, e0) = all_52_12
% 197.06/33.97    (27)  op(e2, e2) = e2
% 197.06/33.97    (28)  op(e2, e1) = all_52_9
% 197.06/33.97    (29)  op(e0, e0) = e0
% 197.06/33.97    (30)   ~ (all_52_13 = e0)
% 197.06/33.97    (31)  op(e3, e1) = all_52_8
% 197.06/33.97    (32)   ~ (all_52_9 = all_52_13)
% 197.06/33.97    (33)   ~ (e2 = e0)
% 197.06/33.97    (34)   ~ (e3 = e0)
% 197.06/33.97  
% 197.06/33.97  Begin of proof
% 197.06/33.97  | 
% 197.06/33.97  | BETA: splitting (5) gives:
% 197.06/33.97  | 
% 197.06/33.97  | Case 1:
% 197.06/33.97  | | 
% 197.06/33.97  | |   (35)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 197.06/33.97  | |           = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.06/33.97  | |         all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 197.06/33.97  | | 
% 197.06/33.97  | | ALPHA: (35) implies:
% 197.06/33.97  | |   (36)  op(e0, e0) = e1
% 197.06/33.97  | | 
% 197.06/33.97  | | REF_CLOSE: (7), (21), (29), (36) are inconsistent by sub-proof #1943.
% 197.06/33.97  | | 
% 197.06/33.97  | Case 2:
% 197.06/33.97  | | 
% 197.06/33.97  | |   (37)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.06/33.97  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.97  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.06/33.97  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 197.06/33.97  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 197.06/33.97  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.06/33.97  | |           $i(all_57_13))
% 197.06/33.97  | | 
% 197.06/33.97  | | BETA: splitting (37) gives:
% 197.06/33.97  | | 
% 197.06/33.97  | | Case 1:
% 197.06/33.97  | | | 
% 197.06/33.97  | | |   (38)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.06/33.97  | | |         (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.97  | | |         op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.06/33.97  | | |         $i(all_57_11)
% 197.06/33.97  | | | 
% 197.06/33.97  | | | ALPHA: (38) implies:
% 197.06/33.97  | | |   (39)  op(e2, e2) = e0
% 197.06/33.97  | | | 
% 197.06/33.97  | | | REF_CLOSE: (7), (27), (33), (39) are inconsistent by sub-proof #1939.
% 197.06/33.97  | | | 
% 197.06/33.97  | | Case 2:
% 197.06/33.97  | | | 
% 197.06/33.97  | | |   (40)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.06/33.97  | | |         (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.97  | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.06/33.97  | | |         $i(all_57_13)
% 197.06/33.97  | | | 
% 197.06/33.97  | | | ALPHA: (40) implies:
% 197.06/33.97  | | |   (41)  op(e1, e1) = e0
% 197.06/33.97  | | | 
% 197.06/33.97  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 197.06/33.97  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 197.06/33.97  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 197.06/33.97  | | |            (34), (41) are inconsistent by sub-proof #1471.
% 197.06/33.97  | | | 
% 197.06/33.97  | | End of split
% 197.06/33.97  | | 
% 197.06/33.97  | End of split
% 197.06/33.97  | 
% 197.06/33.97  End of proof
% 197.06/33.97  
% 197.06/33.97  Sub-proof #1248 shows that the following formulas are inconsistent:
% 197.06/33.97  ----------------------------------------------------------------
% 197.06/33.97    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.06/33.97             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.06/33.97           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 197.06/33.97           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.06/33.97           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 197.06/33.97           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 197.06/33.97    (2)   ~ (e3 = e2)
% 197.06/33.97    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.97    (4)  op(e0, e0) = e0
% 197.06/33.97    (5)  op(e1, e1) = e3
% 197.06/33.97    (6)   ~ (e2 = e0)
% 197.06/33.97  
% 197.06/33.97  Begin of proof
% 197.06/33.97  | 
% 197.06/33.97  | BETA: splitting (1) gives:
% 197.06/33.97  | 
% 197.06/33.97  | Case 1:
% 197.06/33.97  | | 
% 197.06/33.97  | |   (7)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.06/33.97  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.06/33.97  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 197.06/33.97  | | 
% 197.06/33.97  | | ALPHA: (7) implies:
% 197.06/33.97  | |   (8)  op(e1, e1) = e2
% 197.06/33.97  | | 
% 197.06/33.97  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1777.
% 197.06/33.97  | | 
% 197.06/33.97  | Case 2:
% 197.06/33.97  | | 
% 197.06/33.97  | |   (9)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.06/33.97  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.06/33.97  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 197.06/33.97  | | 
% 197.06/33.97  | | ALPHA: (9) implies:
% 197.06/33.97  | |   (10)  op(e0, e0) = e2
% 197.06/33.97  | | 
% 197.06/33.97  | | REF_CLOSE: (3), (4), (6), (10) are inconsistent by sub-proof #1945.
% 197.06/33.97  | | 
% 197.06/33.97  | End of split
% 197.06/33.97  | 
% 197.06/33.97  End of proof
% 197.06/33.97  
% 197.06/33.97  Sub-proof #1249 shows that the following formulas are inconsistent:
% 197.06/33.97  ----------------------------------------------------------------
% 197.06/33.97    (1)  op(e0, e0) = all_14_2
% 197.06/33.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.97    (3)   ~ (all_52_14 = e3)
% 197.06/33.97    (4)  op(e1, e0) = all_52_14
% 197.06/33.97    (5)   ~ (all_14_2 = e3)
% 197.06/33.97    (6)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.06/33.97  
% 197.06/33.97  Begin of proof
% 197.06/33.97  | 
% 197.06/33.97  | BETA: splitting (6) gives:
% 197.06/33.97  | 
% 197.06/33.97  | Case 1:
% 197.06/33.97  | | 
% 197.06/33.97  | |   (7)  all_56_11 = e3 & op(e1, e0) = e3
% 197.06/33.97  | | 
% 197.06/33.97  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1407.
% 197.06/33.97  | | 
% 197.06/33.97  | Case 2:
% 197.06/33.97  | | 
% 197.06/33.97  | |   (8)  all_56_15 = e3 & op(e0, e0) = e3
% 197.06/33.97  | | 
% 197.06/33.97  | | ALPHA: (8) implies:
% 197.06/33.97  | |   (9)  op(e0, e0) = e3
% 197.06/33.97  | | 
% 197.06/33.97  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1977.
% 197.06/33.97  | | 
% 197.06/33.97  | End of split
% 197.06/33.97  | 
% 197.06/33.97  End of proof
% 197.06/33.97  
% 197.06/33.97  Sub-proof #1250 shows that the following formulas are inconsistent:
% 197.06/33.97  ----------------------------------------------------------------
% 197.06/33.97    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.97    (2)  op(e0, e2) = all_50_1
% 197.06/33.97    (3)  op(e0, e2) = e1
% 197.06/33.97    (4)   ~ (all_50_1 = e1)
% 197.06/33.97  
% 197.06/33.97  Begin of proof
% 197.06/33.97  | 
% 197.06/33.97  | GROUND_INST: instantiating (1) with e1, all_50_1, e2, e0, simplifying with
% 197.06/33.97  |              (2), (3) gives:
% 197.06/33.97  |   (5)  all_50_1 = e1
% 197.06/33.97  | 
% 197.06/33.97  | REDUCE: (4), (5) imply:
% 197.06/33.97  |   (6)  $false
% 197.06/33.97  | 
% 197.06/33.97  | CLOSE: (6) is inconsistent.
% 197.06/33.97  | 
% 197.06/33.97  End of proof
% 197.06/33.97  
% 197.06/33.97  Sub-proof #1251 shows that the following formulas are inconsistent:
% 197.06/33.97  ----------------------------------------------------------------
% 197.06/33.97    (1)   ~ (all_28_1 = e3) & op(e0, e2) = all_28_1 & $i(all_28_1)
% 197.06/33.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.97    (3)  op(e0, e2) = e3
% 197.06/33.97  
% 197.06/33.97  Begin of proof
% 197.06/33.97  | 
% 197.06/33.97  | ALPHA: (1) implies:
% 197.06/33.97  |   (4)   ~ (all_28_1 = e3)
% 197.06/33.97  |   (5)  op(e0, e2) = all_28_1
% 197.06/33.97  | 
% 197.06/33.97  | GROUND_INST: instantiating (2) with e3, all_28_1, e2, e0, simplifying with
% 197.06/33.97  |              (3), (5) gives:
% 197.06/33.97  |   (6)  all_28_1 = e3
% 197.06/33.97  | 
% 197.06/33.97  | REDUCE: (4), (6) imply:
% 197.06/33.97  |   (7)  $false
% 197.06/33.97  | 
% 197.06/33.97  | CLOSE: (7) is inconsistent.
% 197.06/33.97  | 
% 197.06/33.97  End of proof
% 197.06/33.97  
% 197.06/33.97  Sub-proof #1252 shows that the following formulas are inconsistent:
% 197.06/33.97  ----------------------------------------------------------------
% 197.06/33.97    (1)   ~ (all_28_0 = e1)
% 197.06/33.97    (2)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.06/33.97    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.97    (4)  all_54_3 = all_28_0
% 197.06/33.97    (5)   ~ (all_28_0 = e3)
% 197.06/33.97    (6)   ~ (all_28_0 = e2)
% 197.06/33.97    (7)  op(e1, e0) = all_52_14
% 197.06/33.97    (8)  all_56_10 = e3
% 197.06/33.97    (9)   ~ (all_52_14 = all_28_0)
% 197.06/33.97    (10)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.06/33.97    (11)   ~ (e3 = e0)
% 197.06/33.97  
% 197.06/33.97  Begin of proof
% 197.06/33.97  | 
% 197.06/33.97  | BETA: splitting (10) gives:
% 197.06/33.97  | 
% 197.06/33.97  | Case 1:
% 197.06/33.97  | | 
% 197.06/33.97  | |   (12)  all_56_10 = e0 & op(e2, e0) = e0
% 197.06/33.97  | | 
% 197.06/33.97  | | REF_CLOSE: (8), (11), (12) are inconsistent by sub-proof #1548.
% 197.06/33.97  | | 
% 197.06/33.97  | Case 2:
% 197.06/33.97  | | 
% 197.06/33.97  | |   (13)  all_56_11 = e0 & op(e1, e0) = e0
% 197.06/33.97  | | 
% 197.06/33.97  | | ALPHA: (13) implies:
% 197.06/33.97  | |   (14)  op(e1, e0) = e0
% 197.06/33.97  | | 
% 197.06/33.97  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (14) are inconsistent by
% 197.06/33.97  | |            sub-proof #1279.
% 197.06/33.97  | | 
% 197.06/33.97  | End of split
% 197.06/33.97  | 
% 197.06/33.97  End of proof
% 197.06/33.97  
% 197.06/33.97  Sub-proof #1253 shows that the following formulas are inconsistent:
% 197.06/33.97  ----------------------------------------------------------------
% 197.06/33.97    (1)   ~ (all_52_1 = all_4_2)
% 197.06/33.97    (2)   ~ (all_52_4 = e3)
% 197.06/33.97    (3)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.06/33.97    (4)  op(e1, e3) = all_52_2
% 197.06/33.97    (5)  all_56_1 = e1
% 197.06/33.97    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.06/33.97           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.06/33.97           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.06/33.97                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.06/33.97               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.06/33.97               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.06/33.97           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.06/33.97           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.06/33.97               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.06/33.97           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.06/33.97               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.06/33.97           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.06/33.97           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.06/33.97               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.06/33.97               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.97               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.97         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.06/33.97           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.06/33.97           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.06/33.97               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.06/33.97             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.06/33.97         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.06/33.97           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.06/33.97           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.06/33.97                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.06/33.97               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.06/33.97               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.06/33.97           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.06/33.97           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.06/33.97             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.97           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.06/33.97               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.06/33.97           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.06/33.97           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.06/33.97               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.06/33.97               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.06/33.97               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.97         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.06/33.97           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.06/33.97           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.06/33.97               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.06/33.97             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.06/33.97         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.06/33.97           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.06/33.97           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.06/33.97                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.06/33.97               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.06/33.97               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.06/33.97           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.06/33.97             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.06/33.97               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.97           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.06/33.97               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.06/33.97           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.06/33.97           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.06/33.97               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.06/33.97               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.06/33.97               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.06/33.97         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.06/33.97           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.06/33.97           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.06/33.97               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.06/33.97             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.06/33.97         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.06/33.97             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.06/33.97           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.06/33.97               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.06/33.97             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.06/33.97         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.06/33.97             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.06/33.97           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.06/33.97               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.06/33.97             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.06/33.97         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.06/33.97             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.06/33.97           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.06/33.97               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.06/33.97             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.06/33.97         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.06/33.97             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.06/33.97           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.06/33.97               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.06/33.97             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.06/33.97    (7)  all_54_4 = all_52_1
% 197.06/33.97    (8)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.06/33.97         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.06/33.97    (9)  op(e1, e2) = all_52_6
% 197.06/33.97    (10)   ~ (all_52_14 = e0)
% 197.06/33.97    (11)  all_56_11 = e1
% 197.06/33.97    (12)   ~ (all_52_3 = e2)
% 197.06/33.97    (13)  op(e3, e2) = e1
% 197.06/33.97    (14)   ~ (all_52_3 = e3)
% 197.06/33.97    (15)  all_54_6 = all_52_9
% 197.06/33.97    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.06/33.97          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.06/33.97    (17)   ~ (all_52_1 = all_52_9)
% 197.06/33.97    (18)   ~ (e3 = e2)
% 197.06/33.97    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.06/33.97            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.06/33.97    (20)  op(e3, e2) = all_52_4
% 197.06/33.97    (21)  op(e2, e2) = all_4_2
% 197.06/33.98    (22)  op(e2, e0) = e3
% 197.06/33.98    (23)   ~ (all_52_9 = e3)
% 197.06/33.98    (24)   ~ (all_52_4 = all_52_8)
% 197.06/33.98    (25)  all_56_9 = e0
% 197.06/33.98    (26)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) =
% 197.06/33.98            all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1,
% 197.06/33.98              e3) = all_20_1 & $i(all_20_1))
% 197.06/33.98    (27)   ~ (all_52_4 = e0)
% 197.06/33.98    (28)   ~ (all_52_8 = e3)
% 197.06/33.98    (29)   ~ (all_52_14 = e3)
% 197.06/33.98    (30)  op(e0, e3) = all_52_3
% 197.06/33.98    (31)  op(e1, e0) = all_52_14
% 197.06/33.98    (32)  all_54_8 = all_52_2
% 197.06/33.98    (33)   ~ (all_52_8 = all_52_9)
% 197.06/33.98    (34)   ~ (all_52_2 = all_52_14)
% 197.06/33.98    (35)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.06/33.98              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.06/33.98            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.06/33.98            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.06/33.98            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.06/33.98            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.06/33.98            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.06/33.98            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.06/33.98            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.06/33.98            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.06/33.98            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.06/33.98            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.06/33.98            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.06/33.98            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.06/33.98            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.06/33.98            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.06/33.98            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.06/33.98            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.06/33.98            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.06/33.98            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.06/33.98            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.06/33.98            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.06/33.98            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.06/33.98            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.06/33.98            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.06/33.98            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.06/33.98            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.06/33.98            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.06/33.98            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.06/33.98            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.06/33.98            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.06/33.98            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.06/33.98            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.06/33.98            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.06/33.98            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.06/33.98            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.06/33.98            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.98            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.06/33.98            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.06/33.98            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.98            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.06/33.98            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.06/33.98            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.06/33.98            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.06/33.98            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.06/33.98            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.06/33.98            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.06/33.98            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.06/33.98              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.06/33.98            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.06/33.98            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.06/33.98              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.06/33.98            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.06/33.98            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.06/33.98                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.06/33.98                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.06/33.98                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.06/33.98                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.06/33.98                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.06/33.98                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.06/33.98                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.06/33.98              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.06/33.98                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.06/33.98                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.06/33.98                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.06/33.98                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.06/33.98                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.06/33.98                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.06/33.98                $i(all_57_7))))
% 197.06/33.98    (36)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.06/33.98          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.06/33.98    (37)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.06/33.98    (38)   ~ (all_52_4 = all_4_2)
% 197.06/33.98    (39)  op(e0, e1) = all_52_11
% 197.06/33.98    (40)  op(e3, e3) = e3
% 197.06/33.98    (41)   ~ (all_52_12 = e3)
% 197.06/33.98    (42)  op(e0, e2) = all_28_1
% 197.06/33.98    (43)   ~ (all_52_2 = e3)
% 197.06/33.98    (44)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 197.06/33.98            op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.06/33.98              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.06/33.98    (45)   ~ (all_4_2 = e3)
% 197.06/33.98    (46)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 197.06/33.98    (47)  all_30_2 = e3
% 197.06/33.98    (48)   ~ (all_30_2 = e3) | ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 197.06/33.98            op(e1, e3) = all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 =
% 197.06/33.98              e0) & op(e1, e3) = all_30_1 & $i(all_30_1))
% 197.06/33.98    (49)   ~ (all_52_1 = e3)
% 197.06/33.98    (50)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.06/33.98    (51)   ~ (all_52_11 = e3)
% 197.06/33.98    (52)   ~ (all_52_8 = all_52_11)
% 197.06/33.98    (53)   ~ (all_52_6 = e3)
% 197.06/33.98    (54)  all_54_5 = all_4_2
% 197.06/33.98    (55)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.06/33.98    (56)   ~ (e2 = e1)
% 197.06/33.98    (57)  all_54_14 = all_52_11
% 197.06/33.98    (58)  op(e1, e0) = e1
% 197.06/33.98    (59)   ~ (all_52_2 = e1)
% 197.06/33.98    (60)  op(e3, e0) = all_52_12
% 197.06/33.98    (61)  all_36_2 = all_4_2
% 197.06/33.98    (62)   ~ (all_52_9 = all_4_2)
% 197.06/33.98    (63)   ~ (all_52_1 = all_52_2)
% 197.06/33.98    (64)   ~ (all_52_4 = all_52_6)
% 197.06/33.98    (65)  op(e3, e1) = all_52_8
% 197.06/33.98    (66)  op(e0, e0) = e2
% 197.06/33.98    (67)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.06/33.98          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.06/33.98    (68)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.06/33.98          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.06/33.98    (69)  op(e1, e1) = e3
% 197.06/33.98    (70)   ~ (e2 = e0)
% 197.06/33.98    (71)  op(e2, e3) = all_52_1
% 197.06/33.98    (72)  op(e0, e2) = e3
% 197.06/33.98    (73)   ~ (all_52_8 = e0)
% 197.06/33.98    (74)   ~ (e3 = e0)
% 197.06/33.98    (75)   ~ (all_52_3 = all_52_11)
% 197.06/33.98    (76)   ~ (all_52_9 = all_52_11)
% 197.06/33.98  
% 197.06/33.98  Begin of proof
% 197.06/33.98  | 
% 197.06/33.98  | BETA: splitting (36) gives:
% 197.06/33.98  | 
% 197.06/33.98  | Case 1:
% 197.06/33.98  | | 
% 197.06/33.98  | |   (77)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 197.06/33.98  | |           e2)
% 197.06/33.98  | | 
% 197.06/33.98  | | REF_CLOSE: (5), (18), (19), (40), (56), (77) are inconsistent by sub-proof
% 197.06/33.98  | |            #1502.
% 197.06/33.98  | | 
% 197.06/33.98  | Case 2:
% 197.06/33.98  | | 
% 197.06/33.98  | |   (78)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 197.06/33.98  | |           e2)
% 197.06/33.98  | | 
% 197.06/33.98  | | BETA: splitting (78) gives:
% 197.06/33.98  | | 
% 197.06/33.98  | | Case 1:
% 197.06/33.98  | | | 
% 197.06/33.98  | | |   (79)  all_56_4 = e2 & op(e3, e1) = e2
% 197.06/33.98  | | | 
% 197.06/33.98  | | | ALPHA: (79) implies:
% 197.06/33.98  | | |   (80)  all_56_4 = e2
% 197.06/33.98  | | |   (81)  op(e3, e1) = e2
% 197.06/33.98  | | | 
% 197.06/33.98  | | | GROUND_INST: instantiating (19) with all_52_8, e2, e1, e3, simplifying
% 197.06/33.98  | | |              with (65), (81) gives:
% 197.06/33.98  | | |   (82)  all_52_8 = e2
% 197.06/33.98  | | | 
% 197.06/33.98  | | | GROUND_INST: instantiating (19) with all_52_4, e1, e2, e3, simplifying
% 197.06/33.98  | | |              with (13), (20) gives:
% 197.06/33.98  | | |   (83)  all_52_4 = e1
% 197.06/33.98  | | | 
% 197.06/33.98  | | | REDUCE: (64), (83) imply:
% 197.06/33.98  | | |   (84)   ~ (all_52_6 = e1)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | SIMP: (84) implies:
% 197.06/33.98  | | |   (85)   ~ (all_52_6 = e1)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | REDUCE: (24), (82), (83) imply:
% 197.06/33.98  | | |   (86)   ~ (e2 = e1)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | REDUCE: (38), (83) imply:
% 197.06/33.98  | | |   (87)   ~ (all_4_2 = e1)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | SIMP: (87) implies:
% 197.06/33.98  | | |   (88)   ~ (all_4_2 = e1)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | REDUCE: (2), (83) imply:
% 197.06/33.98  | | |   (89)   ~ (e3 = e1)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | SIMP: (89) implies:
% 197.06/33.98  | | |   (90)   ~ (e3 = e1)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | REDUCE: (27), (83) imply:
% 197.06/33.98  | | |   (91)   ~ (e1 = e0)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | REDUCE: (33), (82) imply:
% 197.06/33.98  | | |   (92)   ~ (all_52_9 = e2)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | SIMP: (92) implies:
% 197.06/33.98  | | |   (93)   ~ (all_52_9 = e2)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | REDUCE: (52), (82) imply:
% 197.06/33.98  | | |   (94)   ~ (all_52_11 = e2)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | SIMP: (94) implies:
% 197.06/33.98  | | |   (95)   ~ (all_52_11 = e2)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | REDUCE: (28), (82) imply:
% 197.06/33.98  | | |   (96)   ~ (e3 = e2)
% 197.06/33.98  | | | 
% 197.06/33.98  | | | BETA: splitting (44) gives:
% 197.06/33.98  | | | 
% 197.06/33.98  | | | Case 1:
% 197.06/33.98  | | | | 
% 197.06/33.98  | | | |   (97)   ~ (all_36_2 = e0)
% 197.06/33.98  | | | | 
% 197.06/33.98  | | | | REDUCE: (61), (97) imply:
% 197.06/33.98  | | | |   (98)   ~ (all_4_2 = e0)
% 197.06/33.98  | | | | 
% 197.06/33.98  | | | | BETA: splitting (3) gives:
% 197.06/33.98  | | | | 
% 197.06/33.98  | | | | Case 1:
% 197.06/33.98  | | | | | 
% 197.06/33.98  | | | | |   (99)  all_54_5 = e3
% 197.06/33.98  | | | | | 
% 197.06/33.98  | | | | | REF_CLOSE: (45), (54), (99) are inconsistent by sub-proof #1948.
% 197.06/33.98  | | | | | 
% 197.06/33.98  | | | | Case 2:
% 197.06/33.98  | | | | | 
% 197.06/33.98  | | | | |   (100)   ~ (all_54_5 = e3)
% 197.06/33.98  | | | | |   (101)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.06/33.98  | | | | | 
% 197.06/33.98  | | | | | BETA: splitting (8) gives:
% 197.06/33.98  | | | | | 
% 197.06/33.98  | | | | | Case 1:
% 197.06/33.98  | | | | | | 
% 197.06/33.98  | | | | | |   (102)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2,
% 197.06/33.98  | | | | | |              e2) = e0)
% 197.06/33.98  | | | | | | 
% 197.06/33.98  | | | | | | BETA: splitting (102) gives:
% 197.06/33.98  | | | | | | 
% 197.06/33.98  | | | | | | Case 1:
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | |   (103)  all_56_1 = e0 & op(e3, e2) = e0
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | | REF_CLOSE: (5), (91), (103) are inconsistent by sub-proof #1534.
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | Case 2:
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | |   (104)  all_56_3 = e0 & op(e2, e2) = e0
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | | ALPHA: (104) implies:
% 197.06/33.98  | | | | | | |   (105)  op(e2, e2) = e0
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | | REF_CLOSE: (19), (21), (54), (88), (98), (101), (105) are
% 197.06/33.98  | | | | | | |            inconsistent by sub-proof #1938.
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | End of split
% 197.06/33.98  | | | | | | 
% 197.06/33.98  | | | | | Case 2:
% 197.06/33.98  | | | | | | 
% 197.06/33.98  | | | | | |   (106)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 &
% 197.06/33.98  | | | | | |            op(e0, e2) = e0)
% 197.06/33.98  | | | | | | 
% 197.06/33.98  | | | | | | BETA: splitting (106) gives:
% 197.06/33.98  | | | | | | 
% 197.06/33.98  | | | | | | Case 1:
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | |   (107)  all_56_7 = e0 & op(e1, e2) = e0
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | | ALPHA: (107) implies:
% 197.06/33.98  | | | | | | |   (108)  all_56_7 = e0
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | | BETA: splitting (67) gives:
% 197.06/33.98  | | | | | | | 
% 197.06/33.98  | | | | | | | Case 1:
% 197.06/33.98  | | | | | | | | 
% 197.06/33.98  | | | | | | | |   (109)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 &
% 197.06/33.98  | | | | | | | |            op(e1, e2) = e2)
% 197.06/33.98  | | | | | | | | 
% 197.06/33.98  | | | | | | | | BETA: splitting (109) gives:
% 197.06/33.98  | | | | | | | | 
% 197.06/33.98  | | | | | | | | Case 1:
% 197.06/33.98  | | | | | | | | | 
% 197.06/33.98  | | | | | | | | |   (110)  all_56_6 = e2 & op(e1, e3) = e2
% 197.06/33.98  | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | ALPHA: (110) implies:
% 197.06/33.98  | | | | | | | | |   (111)  all_56_6 = e2
% 197.06/33.98  | | | | | | | | |   (112)  op(e1, e3) = e2
% 197.06/33.98  | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | BETA: splitting (101) gives:
% 197.06/33.98  | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | Case 1:
% 197.06/33.98  | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | |   (113)  all_54_5 = e2
% 197.06/33.98  | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | COMBINE_EQS: (54), (113) imply:
% 197.06/33.98  | | | | | | | | | |   (114)  all_4_2 = e2
% 197.06/33.98  | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | REDUCE: (1), (114) imply:
% 197.06/33.98  | | | | | | | | | |   (115)   ~ (all_52_1 = e2)
% 197.06/33.98  | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | REDUCE: (21), (114) imply:
% 197.06/33.98  | | | | | | | | | |   (116)  op(e2, e2) = e2
% 197.06/33.98  | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | BETA: splitting (48) gives:
% 197.06/33.98  | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | Case 1:
% 197.06/33.98  | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | |   (117)   ~ (all_30_2 = e3)
% 197.06/33.98  | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | REDUCE: (47), (117) imply:
% 197.06/33.98  | | | | | | | | | | |   (118)  $false
% 197.06/33.98  | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | CLOSE: (118) is inconsistent.
% 197.06/33.98  | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | Case 2:
% 197.06/33.98  | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | |   (119)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0
% 197.06/33.98  | | | | | | | | | | |            & op(e1, e3) = all_30_1 & $i(all_30_0) &
% 197.06/33.98  | | | | | | | | | | |            $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1, e3)
% 197.06/33.98  | | | | | | | | | | |            = all_30_1 & $i(all_30_1))
% 197.06/33.98  | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | BETA: splitting (119) gives:
% 197.06/33.98  | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | Case 1:
% 197.06/33.98  | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | |   (120)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 197.06/33.98  | | | | | | | | | | | |          op(e1, e3) = all_30_1 & $i(all_30_0) &
% 197.06/33.98  | | | | | | | | | | | |          $i(all_30_1)
% 197.06/33.98  | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | ALPHA: (120) implies:
% 197.06/33.98  | | | | | | | | | | | |   (121)  op(e1, e3) = all_30_1
% 197.06/33.98  | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | BETA: splitting (35) gives:
% 197.06/33.98  | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | Case 1:
% 197.06/33.98  | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | |   (122)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.06/33.98  | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.06/33.98  | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.06/33.98  | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.06/33.98  | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.06/33.98  | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.06/33.98  | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.06/33.98  | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.06/33.98  | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.06/33.98  | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.06/33.98  | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 197.06/33.98  | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.06/33.98  | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 197.06/33.98  | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.06/33.98  | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.06/33.98  | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.06/33.98  | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.06/33.98  | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.06/33.98  | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 197.06/33.98  | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.06/33.98  | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 197.06/33.98  | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 197.06/33.98  | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.06/33.98  | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.06/33.98  | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 197.06/33.98  | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 197.06/33.98  | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 197.06/33.98  | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.06/33.98  | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.06/33.98  | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.06/33.98  | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | | REF_CLOSE: (2), (4), (9), (19), (20), (21), (45), (56), (59),
% 197.06/33.98  | | | | | | | | | | | | |            (71), (85), (115), (116), (122) are inconsistent
% 197.06/33.98  | | | | | | | | | | | | |            by sub-proof #1781.
% 197.06/33.98  | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | Case 2:
% 197.06/33.98  | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | |   (123)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.06/33.98  | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.06/33.98  | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.06/33.98  | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.06/33.98  | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.06/33.98  | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.06/33.98  | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.06/33.98  | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.06/33.98  | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.06/33.98  | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.06/33.98  | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.06/33.98  | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.06/33.98  | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.06/33.98  | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.06/33.98  | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.06/33.98  | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.06/33.98  | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.06/33.98  | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.06/33.98  | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 197.06/33.98  | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.06/33.98  | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 197.06/33.98  | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 197.06/33.98  | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.06/33.98  | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 197.06/33.98  | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 197.06/33.98  | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 197.06/33.98  | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.06/33.98  | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.06/33.98  | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 197.06/33.98  | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.06/33.98  | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.06/33.98  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.06/33.98  | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.06/33.98  | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.06/33.98  | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.06/33.98  | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.06/33.98  | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.06/33.98  | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.06/33.98  | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.06/33.98  | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.06/33.98  | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.06/33.98  | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.06/33.98  | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.06/33.98  | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.06/33.98  | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.06/33.98  | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.06/33.98  | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.06/33.98  | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.06/33.98  | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.06/33.98  | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.06/33.98  | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.06/33.98  | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.06/33.98  | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.06/33.98  | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.06/33.98  | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.06/33.98  | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | | BETA: splitting (123) gives:
% 197.06/33.98  | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | | Case 1:
% 197.06/33.98  | | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | | |   (124)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.06/33.98  | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.06/33.98  | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.06/33.98  | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.06/33.98  | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.06/33.98  | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.06/33.98  | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.06/33.98  | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.06/33.98  | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.06/33.98  | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.06/33.98  | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.06/33.98  | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.06/33.98  | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.06/33.98  | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.06/33.98  | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.06/33.98  | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.06/33.98  | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.06/33.98  | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.06/33.98  | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.06/33.98  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.06/33.98  | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.06/33.98  | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 197.06/33.98  | | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | | | REF_CLOSE: (19), (40), (41), (56), (60), (66), (90), (124)
% 197.06/33.98  | | | | | | | | | | | | | |            are inconsistent by sub-proof #1585.
% 197.06/33.98  | | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | | Case 2:
% 197.06/33.98  | | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | | |   (125)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 197.06/33.98  | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.06/33.98  | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 197.06/33.98  | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 197.06/33.98  | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.06/33.98  | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 197.06/33.98  | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 197.06/33.98  | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 197.06/33.98  | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 197.06/33.98  | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 197.06/33.98  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.06/33.98  | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.06/33.98  | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 197.06/33.98  | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.06/33.98  | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 197.06/33.98  | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 197.06/33.98  | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 197.06/33.98  | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.06/33.98  | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 197.06/33.98  | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.06/33.98  | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 197.06/33.98  | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 197.06/33.98  | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.06/33.98  | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.06/33.98  | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.06/33.98  | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.06/33.98  | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.06/33.98  | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.06/33.98  | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.06/33.98  | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.06/33.98  | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.06/33.98  | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.06/33.98  | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.06/33.98  | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.06/33.98  | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.06/33.98  | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.06/33.98  | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.06/33.98  | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.06/33.98  | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.06/33.98  | | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 197.06/33.98  | | | | | | | | | | | | | | 
% 197.06/33.98  | | | | | | | | | | | | | | Case 1:
% 197.06/33.98  | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | |   (126)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 197.14/33.98  | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 197.14/33.98  | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 197.14/33.98  | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.14/33.98  | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 197.14/33.98  | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 197.14/33.98  | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 197.14/33.98  | | | | | | | | | | | | | | |            $i(all_57_14))
% 197.14/33.98  | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | REF_CLOSE: (19), (40), (74), (126) are inconsistent by
% 197.14/33.98  | | | | | | | | | | | | | | |            sub-proof #1960.
% 197.14/33.98  | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | Case 2:
% 197.14/33.98  | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | |   (127)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.14/33.98  | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.14/33.98  | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.14/33.98  | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 197.14/33.98  | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.14/33.98  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.14/33.98  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.14/33.98  | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.14/33.98  | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.14/33.98  | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.14/33.98  | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.14/33.98  | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.14/33.98  | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.14/33.98  | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.14/33.98  | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.14/33.98  | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.14/33.98  | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.14/33.98  | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.14/33.98  | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.14/33.98  | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.14/33.98  | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.14/33.98  | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.14/33.98  | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.14/33.98  | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.14/33.98  | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.14/33.98  | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.14/33.98  | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.14/33.98  | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.14/33.98  | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 197.14/33.98  | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | Case 1:
% 197.14/33.98  | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | |   (128)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.14/33.98  | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.14/33.98  | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.14/33.98  | | | | | | | | | | | | | | | |          $i(all_57_13)
% 197.14/33.98  | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | | ALPHA: (128) implies:
% 197.14/33.98  | | | | | | | | | | | | | | | |   (129)   ~ (all_57_13 = e1)
% 197.14/33.98  | | | | | | | | | | | | | | | |   (130)  op(e1, e0) = all_57_13
% 197.14/33.98  | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | | REF_CLOSE: (19), (58), (129), (130) are inconsistent by
% 197.14/33.98  | | | | | | | | | | | | | | | |            sub-proof #1437.
% 197.14/33.98  | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | Case 2:
% 197.14/33.98  | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | |   (131)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.14/33.98  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 197.14/33.98  | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 197.14/33.98  | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 197.14/33.98  | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 197.14/33.98  | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.14/33.98  | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.14/33.98  | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 197.14/33.98  | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 197.14/33.98  | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 197.14/33.98  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.14/33.98  | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.14/33.98  | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.14/33.98  | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.14/33.98  | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 197.14/33.98  | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.14/33.98  | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 197.14/33.98  | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 197.14/33.98  | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.14/33.98  | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.14/33.98  | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.14/33.98  | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 197.14/33.98  | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 197.14/33.98  | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 197.14/33.98  | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 197.14/33.98  | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 197.14/33.98  | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.98  | | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | | |   (132)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.14/33.98  | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 197.14/33.98  | | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | | | ALPHA: (132) implies:
% 197.14/33.98  | | | | | | | | | | | | | | | | |   (133)  op(e2, e2) = e0
% 197.14/33.98  | | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (70), (116), (133) are inconsistent by
% 197.14/33.98  | | | | | | | | | | | | | | | | |            sub-proof #1939.
% 197.14/33.98  | | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.98  | | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | | |   (134)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.98  | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.14/33.98  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.14/33.98  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.14/33.98  | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 197.14/33.98  | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 197.14/33.98  | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.14/33.98  | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 197.14/33.98  | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 197.14/33.98  | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 197.14/33.98  | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 197.14/33.98  | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.14/33.98  | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.14/33.98  | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.14/33.98  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 197.14/33.98  | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 197.14/33.98  | | | | | | | | | | | | | | | | | 
% 197.14/33.98  | | | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 197.14/33.98  | | | | | | | | | | | | | | | | |   (135)  op(e0, e0) = all_57_15
% 197.14/33.98  | | | | | | | | | | | | | | | | |   (136)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.14/33.98  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.14/33.98  | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 197.14/33.98  | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.14/33.98  | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.14/33.98  | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.14/33.98  | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 197.14/33.98  | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.14/33.98  | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.14/33.98  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.14/33.98  | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.14/33.98  | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 197.14/33.98  | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 197.14/33.99  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.14/33.99  | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 197.14/33.99  | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.14/33.99  | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | |   (137)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 197.14/33.99  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 197.14/33.99  | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |   (138)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | ALPHA: (138) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |   (139)  op(e2, e2) = e3
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (45), (139) are inconsistent by
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |            sub-proof #1975.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |   (140)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | |   (141)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | |   (142)   ~ (all_57_15 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | |   (143)  op(e0, e3) = e0
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | |   (144)  op(e1, e3) = all_57_1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |   (145)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |   (146)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (19), (20), (21), (40), (45), (90), (135),
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            (142), (143), (146) are inconsistent by sub-proof
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            #1274.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |   (147)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |   (148)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (40), (74), (135), (142), (148) are
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |   (149)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19), (56), (85), (116), (149) are
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1272.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |   (150)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |   (151)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |   (152)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |   (153)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |   (154)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (58), (69), (74), (154) are inconsistent by
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1271.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |   (155)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (155) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |   (156)  op(e0, e2) = e0
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (42), (72), (74), (156) are inconsistent by
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1668.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |   (157)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (18), (19), (29), (31), (53), (68),
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            (74), (111), (157) are inconsistent by sub-proof
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            #1270.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |   (158)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |   (159)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |   (160)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |   (161)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (135), (142), (143), (161) are inconsistent
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1275.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |   (162)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |   (163)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (164)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e3) = all_20_1 & $i(all_20_0) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_20_1)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (165)   ~ (all_20_0 = e0)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (166)  op(e1, e3) = all_20_1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (167)  op(all_20_1, e1) = all_20_0
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (168)  all_57_10 = e2 & op(e3, e3) = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (169)  op(e3, e3) = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (40), (169) are inconsistent by
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1957.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (170)   ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (170) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (171)   ~ (all_57_3 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (172)  op(e3, e2) = all_57_3
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with e2, all_57_15, e0, e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (66), (135) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_57_15 = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_52_3, e0, e3, e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (30), (143) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_52_3 = e0
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with e2, all_30_1, e3, e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (112), (121) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_30_1 = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_30_1, all_57_1, e3,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (121), (144) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_57_1 = all_30_1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_20_1, all_57_1, e3,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (144), (166) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  all_57_1 = all_20_1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with e1, all_57_3, e2, e3,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (13), (172) gives:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_57_3 = e1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (177) imply:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_30_1 = all_20_1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (179) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (180)  all_30_1 = all_20_1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (175), (180) imply:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_20_1 = e2
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (174) imply:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (182)   ~ (all_52_11 = e0)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (182) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)   ~ (all_52_11 = e0)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (174) imply:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)   ~ (e3 = e0)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (174) imply:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (e2 = e0)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (19), (21), (39), (40), (45), (70),
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (74), (80), (90), (136), (165), (167), (181),
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | |            (183) are inconsistent by sub-proof #1268.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (186)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_20_1)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (187)   ~ (all_20_1 = e2)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  op(e1, e3) = all_20_1
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (112), (121), (187), (188) are inconsistent
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1267.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |   (189)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (21), (40), (45), (56), (58), (69),
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            (74), (88), (90), (136), (189) are inconsistent by
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1266.
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | End of split
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | 
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.14/33.99  | | | | | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | |   (190)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | |          $i(all_57_3)
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | |   (191)  op(e0, e2) = e0
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (42), (72), (74), (191) are inconsistent by
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | |            sub-proof #1668.
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | End of split
% 197.14/34.00  | | | | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | | | End of split
% 197.14/34.00  | | | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | | Case 2:
% 197.14/34.00  | | | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | | |   (192)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.14/34.00  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.14/34.00  | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.14/34.00  | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 197.14/34.00  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 197.14/34.00  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 197.14/34.00  | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.14/34.00  | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.14/34.00  | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 197.14/34.00  | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.14/34.00  | | | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (40), (42), (56), (72), (74), (90), (116),
% 197.14/34.00  | | | | | | | | | | | | | | | | | |            (192) are inconsistent by sub-proof #1264.
% 197.14/34.00  | | | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | | End of split
% 197.14/34.00  | | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | End of split
% 197.14/34.00  | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | End of split
% 197.14/34.00  | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | End of split
% 197.14/34.00  | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | End of split
% 197.14/34.00  | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | End of split
% 197.14/34.00  | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | Case 2:
% 197.14/34.00  | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | |   (193)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 &
% 197.14/34.00  | | | | | | | | | | | |          $i(all_30_1)
% 197.14/34.00  | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | ALPHA: (193) implies:
% 197.14/34.00  | | | | | | | | | | | |   (194)   ~ (all_30_1 = e0)
% 197.14/34.00  | | | | | | | | | | | |   (195)  op(e1, e3) = all_30_1
% 197.14/34.00  | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | BETA: splitting (35) gives:
% 197.14/34.00  | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | Case 1:
% 197.14/34.00  | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | |   (196)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.14/34.00  | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.14/34.00  | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.14/34.00  | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.14/34.00  | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.14/34.00  | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.14/34.00  | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.14/34.00  | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.14/34.00  | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.14/34.00  | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.14/34.00  | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 197.14/34.00  | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.14/34.00  | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 197.14/34.00  | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.14/34.00  | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.14/34.00  | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.14/34.00  | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.14/34.00  | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 197.14/34.00  | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.14/34.00  | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 197.14/34.00  | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 197.14/34.00  | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.14/34.00  | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.14/34.00  | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 197.14/34.00  | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 197.14/34.00  | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 197.14/34.00  | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.14/34.00  | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.14/34.00  | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.14/34.00  | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | REF_CLOSE: (2), (4), (9), (19), (20), (21), (45), (56), (59),
% 197.14/34.00  | | | | | | | | | | | | |            (71), (85), (115), (116), (196) are inconsistent
% 197.14/34.00  | | | | | | | | | | | | |            by sub-proof #1781.
% 197.14/34.00  | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | Case 2:
% 197.14/34.00  | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | |   (197)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.14/34.00  | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.14/34.00  | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.14/34.00  | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.14/34.00  | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.14/34.00  | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.14/34.00  | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.14/34.00  | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.14/34.00  | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.14/34.00  | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.14/34.00  | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.14/34.00  | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.14/34.00  | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.14/34.00  | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.14/34.00  | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.14/34.00  | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.14/34.00  | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 197.14/34.00  | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.14/34.00  | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 197.14/34.00  | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 197.14/34.00  | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.14/34.00  | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 197.14/34.00  | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 197.14/34.00  | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 197.14/34.00  | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.14/34.00  | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.14/34.00  | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 197.14/34.00  | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.14/34.00  | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.14/34.00  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.14/34.00  | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.14/34.00  | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.14/34.00  | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.14/34.00  | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.14/34.00  | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.14/34.00  | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.14/34.00  | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.14/34.00  | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.14/34.00  | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.14/34.00  | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.14/34.00  | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.14/34.00  | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.14/34.00  | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.14/34.00  | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.14/34.00  | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.14/34.00  | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.14/34.00  | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.14/34.00  | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.14/34.00  | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.14/34.00  | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.14/34.00  | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.14/34.00  | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | BETA: splitting (197) gives:
% 197.14/34.00  | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | Case 1:
% 197.14/34.00  | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | |   (198)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.14/34.00  | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.14/34.00  | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.14/34.00  | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.14/34.00  | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.14/34.00  | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.14/34.00  | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.14/34.00  | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.14/34.00  | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.14/34.00  | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.14/34.00  | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.14/34.00  | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.14/34.00  | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.14/34.00  | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.14/34.00  | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.14/34.00  | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.14/34.00  | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.14/34.00  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.14/34.00  | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.14/34.00  | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 197.14/34.00  | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | REF_CLOSE: (19), (40), (41), (56), (60), (66), (90), (198)
% 197.14/34.00  | | | | | | | | | | | | | |            are inconsistent by sub-proof #1585.
% 197.14/34.00  | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | Case 2:
% 197.14/34.00  | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | |   (199)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 197.14/34.00  | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.14/34.00  | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 197.14/34.00  | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 197.14/34.00  | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.14/34.00  | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 197.14/34.00  | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 197.14/34.00  | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 197.14/34.00  | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 197.14/34.00  | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 197.14/34.00  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.14/34.00  | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.14/34.00  | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 197.14/34.00  | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.14/34.00  | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 197.14/34.00  | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 197.14/34.00  | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 197.14/34.00  | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.14/34.00  | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 197.14/34.00  | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.14/34.00  | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 197.14/34.00  | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 197.14/34.00  | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.14/34.00  | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.14/34.00  | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.14/34.00  | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.14/34.00  | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.14/34.00  | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.14/34.00  | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.14/34.00  | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.14/34.00  | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.14/34.00  | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.14/34.00  | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.14/34.00  | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.14/34.00  | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.14/34.00  | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.14/34.00  | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.14/34.00  | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 197.14/34.00  | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | Case 1:
% 197.14/34.00  | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | |   (200)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 197.14/34.00  | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.14/34.00  | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 197.14/34.00  | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 197.14/34.00  | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.14/34.00  | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 197.14/34.00  | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 197.14/34.00  | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 197.14/34.00  | | | | | | | | | | | | | | |            $i(all_57_14))
% 197.14/34.00  | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | REF_CLOSE: (19), (40), (74), (200) are inconsistent by
% 197.14/34.00  | | | | | | | | | | | | | | |            sub-proof #1960.
% 197.14/34.00  | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | Case 2:
% 197.14/34.00  | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | |   (201)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.14/34.00  | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.14/34.00  | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.14/34.00  | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.14/34.00  | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 197.14/34.00  | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.14/34.00  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.14/34.00  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.14/34.00  | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.14/34.00  | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.14/34.00  | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.14/34.00  | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.14/34.00  | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.14/34.00  | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.14/34.00  | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.14/34.00  | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.14/34.00  | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.14/34.00  | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.14/34.00  | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.14/34.00  | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.14/34.00  | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.14/34.00  | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.14/34.00  | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.14/34.00  | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.14/34.00  | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.14/34.00  | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.14/34.00  | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.14/34.00  | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.14/34.00  | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.14/34.00  | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.14/34.00  | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 197.14/34.00  | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | Case 1:
% 197.14/34.00  | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | |   (202)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.14/34.00  | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.14/34.00  | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.14/34.00  | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.14/34.00  | | | | | | | | | | | | | | | |          $i(all_57_13)
% 197.14/34.00  | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 197.14/34.00  | | | | | | | | | | | | | | | |   (203)   ~ (all_57_13 = e1)
% 197.14/34.00  | | | | | | | | | | | | | | | |   (204)  op(e1, e0) = all_57_13
% 197.14/34.00  | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | | REF_CLOSE: (19), (58), (203), (204) are inconsistent by
% 197.14/34.00  | | | | | | | | | | | | | | | |            sub-proof #1437.
% 197.14/34.00  | | | | | | | | | | | | | | | | 
% 197.14/34.00  | | | | | | | | | | | | | | | Case 2:
% 197.14/34.00  | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | |   (205)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.16/34.00  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 197.16/34.00  | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 197.16/34.00  | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 197.16/34.00  | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 197.16/34.00  | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.16/34.00  | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 197.16/34.00  | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 197.16/34.00  | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 197.16/34.00  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.16/34.00  | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.16/34.00  | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.16/34.00  | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 197.16/34.00  | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 197.16/34.00  | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 197.16/34.00  | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.16/34.00  | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.16/34.00  | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.16/34.00  | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 197.16/34.00  | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 197.16/34.00  | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 197.16/34.00  | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 197.16/34.00  | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.00  | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | |   (206)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.16/34.00  | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 197.16/34.00  | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 197.16/34.00  | | | | | | | | | | | | | | | | |   (207)  op(e2, e2) = e0
% 197.16/34.00  | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (70), (116), (207) are inconsistent by
% 197.16/34.00  | | | | | | | | | | | | | | | | |            sub-proof #1939.
% 197.16/34.00  | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.00  | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | |   (208)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.00  | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.16/34.00  | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.16/34.00  | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 197.16/34.00  | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 197.16/34.00  | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.16/34.00  | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 197.16/34.00  | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 197.16/34.00  | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 197.16/34.00  | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 197.16/34.00  | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.16/34.00  | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.16/34.00  | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.16/34.00  | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 197.16/34.00  | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 197.16/34.00  | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 197.16/34.00  | | | | | | | | | | | | | | | | |   (209)  op(e0, e0) = all_57_15
% 197.16/34.00  | | | | | | | | | | | | | | | | |   (210)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.16/34.00  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 197.16/34.00  | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.16/34.00  | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.16/34.00  | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 197.16/34.00  | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.16/34.00  | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.16/34.00  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 197.16/34.00  | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 197.16/34.00  | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.16/34.00  | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 197.16/34.00  | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.16/34.00  | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 197.16/34.00  | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | |   (211)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.16/34.00  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 197.16/34.00  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 197.16/34.00  | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.16/34.00  | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |   (212)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |          all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |          $i(all_57_0)
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | ALPHA: (212) implies:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |   (213)  op(e2, e2) = e3
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (45), (213) are inconsistent by
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |            sub-proof #1975.
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |   (214)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |            $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | |              e2) = e0 & $i(all_57_3))
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | |   (215)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | |          all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | |          $i(all_57_1)
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | |   (216)   ~ (all_57_15 = e3)
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | |   (217)  op(e0, e3) = e0
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | |   (218)  op(e1, e3) = all_57_1
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |   (219)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (19), (20), (21), (40), (45), (90), (209),
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            (216), (217), (220) are inconsistent by sub-proof
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            #1274.
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |   (221)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |   (222)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (40), (74), (209), (216), (222) are
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |   (223)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (224) implies:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |   (225)  op(e2, e2) = e1
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (56), (116), (225) are inconsistent by
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1783.
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 197.16/34.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (16), (18), (19), (21), (26), (30),
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            (39), (40), (45), (66), (75), (80), (112), (194),
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            (195), (209), (210), (216), (217), (218), (227)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1263.
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |   (228)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |   (230)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |   (232)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (58), (69), (74), (232) are inconsistent by
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1271.
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |   (234)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (16), (18), (19), (21), (26), (30),
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            (39), (40), (45), (66), (75), (80), (112), (194),
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            (195), (209), (210), (216), (217), (218), (234)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1263.
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (18), (19), (29), (31), (53), (68),
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            (74), (111), (235) are inconsistent by sub-proof
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            #1270.
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |   (239)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (209), (216), (217), (239) are inconsistent
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1275.
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (240) implies:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (16), (18), (19), (21), (26), (30),
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            (39), (40), (45), (66), (75), (80), (112), (194),
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            (195), (209), (210), (216), (217), (218), (241)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1263.
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |   (242)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (21), (40), (45), (56), (58), (69),
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            (74), (88), (90), (210), (242) are inconsistent by
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1266.
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | |   (243)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | |          $i(all_57_3)
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | |   (244)  op(e0, e2) = e0
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (42), (72), (74), (244) are inconsistent by
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | |            sub-proof #1668.
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | |   (245)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.16/34.01  | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.16/34.01  | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 197.16/34.01  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 197.16/34.01  | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 197.16/34.01  | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.16/34.01  | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.16/34.01  | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 197.16/34.01  | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.16/34.01  | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (40), (42), (56), (72), (74), (90), (116),
% 197.16/34.01  | | | | | | | | | | | | | | | | | |            (245) are inconsistent by sub-proof #1264.
% 197.16/34.01  | | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | |   (246)  all_54_5 = e1 | all_54_5 = e0
% 197.16/34.01  | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | | REF_CLOSE: (54), (88), (98), (246) are inconsistent by
% 197.16/34.01  | | | | | | | | | |            sub-proof #1941.
% 197.16/34.01  | | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | | 
% 197.16/34.01  | | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | | 
% 197.16/34.01  | | | | | | | | |   (247)  all_56_7 = e2 & op(e1, e2) = e2
% 197.16/34.01  | | | | | | | | | 
% 197.16/34.01  | | | | | | | | | REF_CLOSE: (70), (108), (247) are inconsistent by sub-proof
% 197.16/34.01  | | | | | | | | |            #1262.
% 197.16/34.01  | | | | | | | | | 
% 197.16/34.01  | | | | | | | | End of split
% 197.16/34.01  | | | | | | | | 
% 197.16/34.01  | | | | | | | Case 2:
% 197.16/34.01  | | | | | | | | 
% 197.16/34.01  | | | | | | | |   (248)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 197.16/34.01  | | | | | | | |            op(e1, e0) = e2)
% 197.16/34.01  | | | | | | | | 
% 197.16/34.01  | | | | | | | | REF_CLOSE: (11), (18), (19), (56), (69), (248) are inconsistent
% 197.16/34.01  | | | | | | | |            by sub-proof #1261.
% 197.16/34.01  | | | | | | | | 
% 197.16/34.01  | | | | | | | End of split
% 197.16/34.01  | | | | | | | 
% 197.16/34.01  | | | | | | Case 2:
% 197.16/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | |   (249)  all_56_13 = e0 & op(e0, e2) = e0
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | | ALPHA: (249) implies:
% 197.17/34.01  | | | | | | |   (250)  op(e0, e2) = e0
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | | REF_CLOSE: (19), (42), (72), (74), (250) are inconsistent by
% 197.17/34.01  | | | | | | |            sub-proof #1668.
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | End of split
% 197.17/34.01  | | | | | | 
% 197.17/34.01  | | | | | End of split
% 197.17/34.01  | | | | | 
% 197.17/34.01  | | | | End of split
% 197.17/34.01  | | | | 
% 197.17/34.01  | | | Case 2:
% 197.17/34.01  | | | | 
% 197.17/34.01  | | | |   (251)  all_36_2 = e0
% 197.17/34.01  | | | |   (252)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0)
% 197.17/34.01  | | | |            = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.17/34.01  | | | |              e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.17/34.01  | | | | 
% 197.17/34.01  | | | | COMBINE_EQS: (61), (251) imply:
% 197.17/34.01  | | | |   (253)  all_4_2 = e0
% 197.17/34.01  | | | | 
% 197.17/34.01  | | | | SIMP: (253) implies:
% 197.17/34.01  | | | |   (254)  all_4_2 = e0
% 197.17/34.01  | | | | 
% 197.17/34.01  | | | | REDUCE: (1), (254) imply:
% 197.17/34.01  | | | |   (255)   ~ (all_52_1 = e0)
% 197.17/34.01  | | | | 
% 197.17/34.01  | | | | REDUCE: (62), (254) imply:
% 197.17/34.01  | | | |   (256)   ~ (all_52_9 = e0)
% 197.17/34.01  | | | | 
% 197.17/34.01  | | | | REDUCE: (21), (254) imply:
% 197.17/34.01  | | | |   (257)  op(e2, e2) = e0
% 197.17/34.01  | | | | 
% 197.17/34.01  | | | | BETA: splitting (252) gives:
% 197.17/34.01  | | | | 
% 197.17/34.01  | | | | Case 1:
% 197.17/34.01  | | | | | 
% 197.17/34.01  | | | | |   (258)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0)
% 197.17/34.01  | | | | |          = all_36_1 & $i(all_36_0) & $i(all_36_1)
% 197.17/34.01  | | | | | 
% 197.17/34.01  | | | | | ALPHA: (258) implies:
% 197.17/34.01  | | | | |   (259)  op(e2, e0) = all_36_1
% 197.17/34.01  | | | | | 
% 197.17/34.01  | | | | | BETA: splitting (37) gives:
% 197.17/34.01  | | | | | 
% 197.17/34.01  | | | | | Case 1:
% 197.17/34.01  | | | | | | 
% 197.17/34.01  | | | | | |   (260)  all_54_6 = e3
% 197.17/34.01  | | | | | | 
% 197.17/34.01  | | | | | | COMBINE_EQS: (15), (260) imply:
% 197.17/34.01  | | | | | |   (261)  all_52_9 = e3
% 197.17/34.01  | | | | | | 
% 197.17/34.01  | | | | | | REDUCE: (23), (261) imply:
% 197.17/34.01  | | | | | |   (262)  $false
% 197.17/34.01  | | | | | | 
% 197.17/34.01  | | | | | | CLOSE: (262) is inconsistent.
% 197.17/34.01  | | | | | | 
% 197.17/34.01  | | | | | Case 2:
% 197.17/34.01  | | | | | | 
% 197.17/34.01  | | | | | |   (263)   ~ (all_54_6 = e3)
% 197.17/34.01  | | | | | |   (264)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.17/34.01  | | | | | | 
% 197.17/34.01  | | | | | | BETA: splitting (264) gives:
% 197.17/34.01  | | | | | | 
% 197.17/34.01  | | | | | | Case 1:
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | |   (265)  all_54_6 = e2
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | | COMBINE_EQS: (15), (265) imply:
% 197.17/34.01  | | | | | | |   (266)  all_52_9 = e2
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | | REDUCE: (93), (266) imply:
% 197.17/34.01  | | | | | | |   (267)  $false
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | | CLOSE: (267) is inconsistent.
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | Case 2:
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | |   (268)  all_54_6 = e1 | all_54_6 = e0
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | | BETA: splitting (268) gives:
% 197.17/34.01  | | | | | | | 
% 197.17/34.01  | | | | | | | Case 1:
% 197.17/34.01  | | | | | | | | 
% 197.17/34.01  | | | | | | | |   (269)  all_54_6 = e1
% 197.17/34.01  | | | | | | | | 
% 197.17/34.01  | | | | | | | | COMBINE_EQS: (15), (269) imply:
% 197.17/34.01  | | | | | | | |   (270)  all_52_9 = e1
% 197.17/34.01  | | | | | | | | 
% 197.17/34.01  | | | | | | | | REDUCE: (17), (270) imply:
% 197.17/34.01  | | | | | | | |   (271)   ~ (all_52_1 = e1)
% 197.17/34.01  | | | | | | | | 
% 197.17/34.01  | | | | | | | | REDUCE: (76), (270) imply:
% 197.17/34.01  | | | | | | | |   (272)   ~ (all_52_11 = e1)
% 197.17/34.01  | | | | | | | | 
% 197.17/34.01  | | | | | | | | SIMP: (272) implies:
% 197.17/34.01  | | | | | | | |   (273)   ~ (all_52_11 = e1)
% 197.17/34.01  | | | | | | | | 
% 197.17/34.01  | | | | | | | | BETA: splitting (50) gives:
% 197.17/34.01  | | | | | | | | 
% 197.17/34.01  | | | | | | | | Case 1:
% 197.17/34.01  | | | | | | | | | 
% 197.17/34.01  | | | | | | | | |   (274)  all_54_4 = e3
% 197.17/34.01  | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | REF_CLOSE: (7), (49), (274) are inconsistent by sub-proof
% 197.17/34.01  | | | | | | | | |            #1409.
% 197.17/34.01  | | | | | | | | | 
% 197.17/34.01  | | | | | | | | Case 2:
% 197.17/34.01  | | | | | | | | | 
% 197.17/34.01  | | | | | | | | |   (275)   ~ (all_54_4 = e3)
% 197.17/34.01  | | | | | | | | |   (276)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.17/34.01  | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | BETA: splitting (55) gives:
% 197.17/34.01  | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | Case 1:
% 197.17/34.01  | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | |   (277)  all_54_14 = e3
% 197.17/34.01  | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | REF_CLOSE: (51), (57), (277) are inconsistent by sub-proof
% 197.17/34.01  | | | | | | | | | |            #1260.
% 197.17/34.01  | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | Case 2:
% 197.17/34.01  | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | |   (278)   ~ (all_54_14 = e3)
% 197.17/34.01  | | | | | | | | | |   (279)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.17/34.01  | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | BETA: splitting (279) gives:
% 197.17/34.01  | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | Case 1:
% 197.17/34.01  | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | |   (280)  all_54_14 = e2
% 197.17/34.01  | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | REF_CLOSE: (57), (95), (280) are inconsistent by sub-proof
% 197.17/34.01  | | | | | | | | | | |            #1740.
% 197.17/34.01  | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | Case 2:
% 197.17/34.01  | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | |   (281)  all_54_14 = e1 | all_54_14 = e0
% 197.17/34.01  | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | BETA: splitting (281) gives:
% 197.17/34.01  | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | Case 1:
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | |   (282)  all_54_14 = e1
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | REF_CLOSE: (57), (273), (282) are inconsistent by sub-proof
% 197.17/34.01  | | | | | | | | | | | |            #1739.
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | Case 2:
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | |   (283)  all_54_14 = e0
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | COMBINE_EQS: (57), (283) imply:
% 197.17/34.01  | | | | | | | | | | | |   (284)  all_52_11 = e0
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | SIMP: (284) implies:
% 197.17/34.01  | | | | | | | | | | | |   (285)  all_52_11 = e0
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | REDUCE: (75), (285) imply:
% 197.17/34.01  | | | | | | | | | | | |   (286)   ~ (all_52_3 = e0)
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | REDUCE: (51), (285) imply:
% 197.17/34.01  | | | | | | | | | | | |   (287)   ~ (e3 = e0)
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | REDUCE: (273), (285) imply:
% 197.17/34.01  | | | | | | | | | | | |   (288)   ~ (e1 = e0)
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | BETA: splitting (276) gives:
% 197.17/34.01  | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | Case 1:
% 197.17/34.01  | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | |   (289)  all_54_4 = e2
% 197.17/34.01  | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | COMBINE_EQS: (7), (289) imply:
% 197.17/34.01  | | | | | | | | | | | | |   (290)  all_52_1 = e2
% 197.17/34.01  | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | REDUCE: (63), (290) imply:
% 197.17/34.01  | | | | | | | | | | | | |   (291)   ~ (all_52_2 = e2)
% 197.17/34.01  | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | SIMP: (291) implies:
% 197.17/34.01  | | | | | | | | | | | | |   (292)   ~ (all_52_2 = e2)
% 197.17/34.01  | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | REDUCE: (71), (290) imply:
% 197.17/34.01  | | | | | | | | | | | | |   (293)  op(e2, e3) = e2
% 197.17/34.01  | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | BETA: splitting (46) gives:
% 197.17/34.01  | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | Case 1:
% 197.17/34.01  | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | |   (294)  all_54_8 = e3
% 197.17/34.01  | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | | COMBINE_EQS: (32), (294) imply:
% 197.17/34.01  | | | | | | | | | | | | | |   (295)  all_52_2 = e3
% 197.17/34.01  | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | | REDUCE: (43), (295) imply:
% 197.17/34.01  | | | | | | | | | | | | | |   (296)  $false
% 197.17/34.01  | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | | CLOSE: (296) is inconsistent.
% 197.17/34.01  | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | Case 2:
% 197.17/34.01  | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | |   (297)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 197.17/34.01  | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 197.17/34.01  | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | | Case 1:
% 197.17/34.01  | | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | | |   (298)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.17/34.01  | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.17/34.01  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.17/34.01  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.17/34.01  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.17/34.01  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.17/34.01  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.17/34.01  | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.17/34.01  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.17/34.01  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.17/34.01  | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.17/34.01  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.17/34.01  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.17/34.01  | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.17/34.01  | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.17/34.01  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.17/34.01  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.17/34.01  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.17/34.01  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.17/34.01  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.01  | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.17/34.01  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.17/34.01  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.17/34.01  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.17/34.01  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.17/34.01  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.17/34.01  | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.17/34.01  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.01  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.17/34.01  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.17/34.01  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.17/34.01  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.01  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.17/34.01  | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.17/34.01  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.17/34.01  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.17/34.01  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.17/34.01  | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.17/34.01  | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.17/34.01  | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.17/34.01  | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.17/34.01  | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.17/34.01  | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.17/34.01  | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.17/34.01  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.17/34.01  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.01  | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.17/34.01  | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.17/34.01  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.17/34.01  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.17/34.01  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.17/34.01  | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.17/34.01  | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.17/34.01  | | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (9), (19), (20), (21), (30), (40), (45),
% 197.17/34.01  | | | | | | | | | | | | | | |            (59), (74), (85), (90), (91), (257), (286), (298)
% 197.17/34.01  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1259.
% 197.17/34.01  | | | | | | | | | | | | | | | 
% 197.17/34.01  | | | | | | | | | | | | | | Case 2:
% 197.17/34.01  | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | |   (299)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.17/34.02  | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.02  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.17/34.02  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.17/34.02  | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.17/34.02  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.17/34.02  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.17/34.02  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.17/34.02  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.17/34.02  | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.17/34.02  | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.17/34.02  | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.17/34.02  | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.02  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.17/34.02  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.17/34.02  | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.17/34.02  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.17/34.02  | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.17/34.02  | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.17/34.02  | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.17/34.02  | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.17/34.02  | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.17/34.02  | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.17/34.02  | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.17/34.02  | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.17/34.02  | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.17/34.02  | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.17/34.02  | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.17/34.02  | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.17/34.02  | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.17/34.02  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.17/34.02  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.17/34.02  | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.17/34.02  | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.17/34.02  | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.17/34.02  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.17/34.02  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.02  | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.17/34.02  | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.17/34.02  | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.17/34.02  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.17/34.02  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.17/34.02  | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 197.17/34.02  | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | Case 1:
% 197.17/34.02  | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | |   (300)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.17/34.02  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.02  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.17/34.02  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.17/34.02  | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.17/34.02  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.17/34.02  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.17/34.02  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.17/34.02  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.17/34.02  | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.17/34.02  | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.17/34.02  | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.17/34.02  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.02  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.17/34.02  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.17/34.02  | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.17/34.02  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.17/34.02  | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.17/34.02  | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.17/34.02  | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.17/34.02  | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.17/34.02  | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.17/34.02  | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 197.17/34.02  | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | |   (301)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.17/34.02  | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.17/34.02  | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.17/34.02  | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.17/34.02  | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.17/34.02  | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.17/34.02  | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (302)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | ALPHA: (302) implies:
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (303)  op(e2, e0) = e2
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (22), (259), (303) are inconsistent by
% 197.17/34.02  | | | | | | | | | | | | | | | | | |            sub-proof #1709.
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (304)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | ALPHA: (304) implies:
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (305)  op(e0, e2) = e0
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (42), (72), (74), (305) are inconsistent by
% 197.17/34.02  | | | | | | | | | | | | | | | | | |            sub-proof #1668.
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | |   (306)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.17/34.02  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.17/34.02  | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.17/34.02  | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.17/34.02  | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.17/34.02  | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.17/34.02  | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (307)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              all_57_11 & $i(all_57_11)))
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | ALPHA: (307) implies:
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (308)  op(e0, e1) = e1
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (39), (273), (308) are inconsistent by
% 197.17/34.02  | | | | | | | | | | | | | | | | | |            sub-proof #1885.
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (309)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | | | |            e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              all_57_7 & $i(all_57_7)))
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | ALPHA: (309) implies:
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (310)  op(e1, e0) = e0
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (31), (32), (34), (59), (292), (297), (310)
% 197.17/34.02  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1256.
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | Case 2:
% 197.17/34.02  | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | |   (311)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.17/34.02  | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.17/34.02  | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.17/34.02  | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.17/34.02  | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.17/34.02  | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.17/34.02  | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.17/34.02  | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.17/34.02  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.17/34.02  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.17/34.02  | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.17/34.02  | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.17/34.02  | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.17/34.02  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.17/34.02  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.02  | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.17/34.02  | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.17/34.02  | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.17/34.02  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.17/34.02  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.17/34.02  | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 197.17/34.02  | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | |   (312)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.17/34.02  | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.17/34.02  | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.17/34.02  | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.17/34.02  | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.17/34.02  | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (313)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (314)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (45), (47), (48), (293), (314) are
% 197.17/34.02  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1255.
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (315)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.17/34.02  | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | ALPHA: (315) implies:
% 197.17/34.02  | | | | | | | | | | | | | | | | | |   (316)  op(e2, e2) = e2
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (70), (257), (316) are inconsistent by
% 197.17/34.02  | | | | | | | | | | | | | | | | | |            sub-proof #1939.
% 197.17/34.02  | | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | |   (317)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.17/34.02  | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.17/34.02  | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.02  | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.17/34.02  | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.17/34.02  | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.17/34.02  | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.17/34.02  | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.17/34.02  | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.02  | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (58), (69), (74), (90), (317) are
% 197.17/34.02  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1254.
% 197.17/34.02  | | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | Case 2:
% 197.17/34.02  | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | |   (318)  all_54_4 = e1 | all_54_4 = e0
% 197.17/34.02  | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | | REF_CLOSE: (7), (255), (271), (318) are inconsistent by
% 197.17/34.02  | | | | | | | | | | | | |            sub-proof #1830.
% 197.17/34.02  | | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | | 
% 197.17/34.02  | | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | | 
% 197.17/34.02  | | | | | | | | End of split
% 197.17/34.02  | | | | | | | | 
% 197.17/34.02  | | | | | | | Case 2:
% 197.17/34.02  | | | | | | | | 
% 197.17/34.02  | | | | | | | |   (319)  all_54_6 = e0
% 197.17/34.02  | | | | | | | | 
% 197.17/34.02  | | | | | | | | COMBINE_EQS: (15), (319) imply:
% 197.17/34.02  | | | | | | | |   (320)  all_52_9 = e0
% 197.17/34.02  | | | | | | | | 
% 197.17/34.02  | | | | | | | | REDUCE: (256), (320) imply:
% 197.17/34.02  | | | | | | | |   (321)  $false
% 197.17/34.02  | | | | | | | | 
% 197.17/34.02  | | | | | | | | CLOSE: (321) is inconsistent.
% 197.17/34.02  | | | | | | | | 
% 197.17/34.02  | | | | | | | End of split
% 197.17/34.02  | | | | | | | 
% 197.17/34.02  | | | | | | End of split
% 197.17/34.02  | | | | | | 
% 197.17/34.02  | | | | | End of split
% 197.17/34.02  | | | | | 
% 197.17/34.02  | | | | Case 2:
% 197.17/34.02  | | | | | 
% 197.17/34.02  | | | | |   (322)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 & $i(all_36_1)
% 197.17/34.02  | | | | | 
% 197.17/34.02  | | | | | REF_CLOSE: (19), (22), (322) are inconsistent by sub-proof #1708.
% 197.17/34.02  | | | | | 
% 197.17/34.02  | | | | End of split
% 197.17/34.02  | | | | 
% 197.17/34.02  | | | End of split
% 197.17/34.02  | | | 
% 197.17/34.02  | | Case 2:
% 197.17/34.02  | | | 
% 197.17/34.02  | | |   (323)  all_56_9 = e2 & op(e3, e0) = e2
% 197.17/34.02  | | | 
% 197.17/34.02  | | | ALPHA: (323) implies:
% 197.17/34.02  | | |   (324)  all_56_9 = e2
% 197.17/34.02  | | | 
% 197.17/34.02  | | | REF_CLOSE: (25), (70), (324) are inconsistent by sub-proof #1919.
% 197.17/34.02  | | | 
% 197.17/34.02  | | End of split
% 197.17/34.02  | | 
% 197.17/34.02  | End of split
% 197.17/34.02  | 
% 197.17/34.02  End of proof
% 197.17/34.02  
% 197.17/34.02  Sub-proof #1254 shows that the following formulas are inconsistent:
% 197.17/34.02  ----------------------------------------------------------------
% 197.17/34.02    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.17/34.02             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.17/34.02           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.17/34.02               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.17/34.02             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.02         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.17/34.02             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.17/34.02           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.17/34.02               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.17/34.02             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.17/34.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.02    (3)  op(e1, e0) = e1
% 197.17/34.02    (4)   ~ (e3 = e1)
% 197.17/34.02    (5)  op(e1, e1) = e3
% 197.17/34.02    (6)   ~ (e3 = e0)
% 197.17/34.02  
% 197.17/34.02  Begin of proof
% 197.17/34.02  | 
% 197.17/34.02  | BETA: splitting (1) gives:
% 197.17/34.02  | 
% 197.17/34.02  | Case 1:
% 197.17/34.02  | | 
% 197.17/34.02  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 197.17/34.02  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.17/34.02  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.17/34.02  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.17/34.02  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.17/34.02  | |              e1) = all_57_8 & $i(all_57_8)))
% 197.17/34.02  | | 
% 197.17/34.02  | | ALPHA: (7) implies:
% 197.17/34.02  | |   (8)  op(e1, e1) = e1
% 197.17/34.02  | | 
% 197.17/34.02  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1978.
% 197.17/34.02  | | 
% 197.17/34.02  | Case 2:
% 197.17/34.02  | | 
% 197.17/34.02  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 197.17/34.02  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.17/34.02  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.17/34.02  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 197.17/34.02  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.02  | |              e0) = all_57_13 & $i(all_57_13)))
% 197.17/34.02  | | 
% 197.17/34.02  | | ALPHA: (9) implies:
% 197.17/34.02  | |   (10)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.02  | |             e0) = all_57_13 & $i(all_57_13))
% 197.17/34.02  | | 
% 197.17/34.02  | | REF_CLOSE: (2), (3), (5), (6), (10) are inconsistent by sub-proof #1271.
% 197.17/34.02  | | 
% 197.17/34.02  | End of split
% 197.17/34.02  | 
% 197.17/34.02  End of proof
% 197.17/34.02  
% 197.17/34.02  Sub-proof #1255 shows that the following formulas are inconsistent:
% 197.17/34.02  ----------------------------------------------------------------
% 197.17/34.02    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.02    (2)  op(e2, e2) = all_4_2
% 197.17/34.02    (3)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.17/34.02           all_57_0 & $i(all_57_0))
% 197.17/34.02    (4)   ~ (all_4_2 = e3)
% 197.17/34.02    (5)  all_30_2 = e3
% 197.17/34.02    (6)   ~ (all_30_2 = e3) | ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 &
% 197.17/34.02           op(e1, e3) = all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 =
% 197.17/34.02             e0) & op(e1, e3) = all_30_1 & $i(all_30_1))
% 197.17/34.02    (7)  op(e2, e3) = e2
% 197.17/34.02  
% 197.17/34.02  Begin of proof
% 197.17/34.02  | 
% 197.17/34.02  | BETA: splitting (3) gives:
% 197.17/34.02  | 
% 197.17/34.02  | Case 1:
% 197.17/34.02  | | 
% 197.17/34.02  | |   (8)  all_57_12 = e3 & op(e2, e2) = e3
% 197.17/34.02  | | 
% 197.17/34.02  | | ALPHA: (8) implies:
% 197.17/34.02  | |   (9)  op(e2, e2) = e3
% 197.17/34.02  | | 
% 197.17/34.02  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1975.
% 197.17/34.02  | | 
% 197.17/34.02  | Case 2:
% 197.17/34.02  | | 
% 197.17/34.02  | |   (10)   ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0)
% 197.17/34.02  | | 
% 197.17/34.02  | | ALPHA: (10) implies:
% 197.17/34.02  | |   (11)  op(e2, e3) = all_57_0
% 197.17/34.02  | | 
% 197.17/34.02  | | BETA: splitting (6) gives:
% 197.17/34.02  | | 
% 197.17/34.02  | | Case 1:
% 197.17/34.02  | | | 
% 197.17/34.02  | | |   (12)   ~ (all_30_2 = e3)
% 197.17/34.02  | | | 
% 197.17/34.02  | | | REDUCE: (5), (12) imply:
% 197.17/34.02  | | |   (13)  $false
% 197.17/34.02  | | | 
% 197.17/34.02  | | | CLOSE: (13) is inconsistent.
% 197.17/34.02  | | | 
% 197.17/34.02  | | Case 2:
% 197.17/34.02  | | | 
% 197.17/34.02  | | | 
% 197.17/34.02  | | | GROUND_INST: instantiating (1) with e2, all_57_0, e3, e2, simplifying with
% 197.17/34.02  | | |              (7), (11) gives:
% 197.17/34.02  | | |   (14)  all_57_0 = e2
% 197.17/34.02  | | | 
% 197.17/34.02  | | | REF_CLOSE: (1), (2), (3), (4), (14) are inconsistent by sub-proof #1664.
% 197.17/34.02  | | | 
% 197.17/34.02  | | End of split
% 197.17/34.02  | | 
% 197.17/34.02  | End of split
% 197.17/34.02  | 
% 197.17/34.02  End of proof
% 197.17/34.02  
% 197.17/34.02  Sub-proof #1256 shows that the following formulas are inconsistent:
% 197.17/34.02  ----------------------------------------------------------------
% 197.17/34.02    (1)  op(e1, e0) = e0
% 197.17/34.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.02    (3)  op(e1, e0) = all_52_14
% 197.17/34.02    (4)  all_54_8 = all_52_2
% 197.17/34.02    (5)   ~ (all_52_2 = all_52_14)
% 197.17/34.02    (6)   ~ (all_52_2 = e2)
% 197.17/34.02    (7)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 197.17/34.02    (8)   ~ (all_52_2 = e1)
% 197.17/34.02  
% 197.17/34.02  Begin of proof
% 197.17/34.02  | 
% 197.17/34.02  | BETA: splitting (7) gives:
% 197.17/34.02  | 
% 197.17/34.02  | Case 1:
% 197.17/34.02  | | 
% 197.17/34.02  | |   (9)  all_54_8 = e2
% 197.17/34.02  | | 
% 197.17/34.02  | | REF_CLOSE: (4), (6), (9) are inconsistent by sub-proof #1258.
% 197.17/34.02  | | 
% 197.17/34.02  | Case 2:
% 197.17/34.02  | | 
% 197.17/34.02  | |   (10)  all_54_8 = e1 | all_54_8 = e0
% 197.17/34.02  | | 
% 197.17/34.02  | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (10) are inconsistent by sub-proof
% 197.17/34.02  | |            #1257.
% 197.17/34.02  | | 
% 197.17/34.02  | End of split
% 197.17/34.02  | 
% 197.17/34.02  End of proof
% 197.17/34.02  
% 197.17/34.02  Sub-proof #1257 shows that the following formulas are inconsistent:
% 197.17/34.02  ----------------------------------------------------------------
% 197.17/34.02    (1)  op(e1, e0) = e0
% 197.17/34.02    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.02    (3)  op(e1, e0) = all_52_14
% 197.17/34.02    (4)  all_54_8 = all_52_2
% 197.17/34.02    (5)   ~ (all_52_2 = all_52_14)
% 197.17/34.02    (6)  all_54_8 = e1 | all_54_8 = e0
% 197.17/34.02    (7)   ~ (all_52_2 = e1)
% 197.17/34.02  
% 197.17/34.02  Begin of proof
% 197.17/34.02  | 
% 197.17/34.02  | BETA: splitting (6) gives:
% 197.17/34.02  | 
% 197.17/34.02  | Case 1:
% 197.17/34.02  | | 
% 197.17/34.02  | |   (8)  all_54_8 = e1
% 197.17/34.02  | | 
% 197.17/34.02  | | REF_CLOSE: (4), (7), (8) are inconsistent by sub-proof #1367.
% 197.17/34.02  | | 
% 197.17/34.02  | Case 2:
% 197.17/34.02  | | 
% 197.17/34.02  | |   (9)  all_54_8 = e0
% 197.17/34.02  | | 
% 197.17/34.02  | | COMBINE_EQS: (4), (9) imply:
% 197.17/34.02  | |   (10)  all_52_2 = e0
% 197.17/34.02  | | 
% 197.17/34.02  | | SIMP: (10) implies:
% 197.17/34.02  | |   (11)  all_52_2 = e0
% 197.17/34.02  | | 
% 197.17/34.02  | | REDUCE: (5), (11) imply:
% 197.17/34.02  | |   (12)   ~ (all_52_14 = e0)
% 197.17/34.02  | | 
% 197.17/34.02  | | SIMP: (12) implies:
% 197.17/34.02  | |   (13)   ~ (all_52_14 = e0)
% 197.17/34.02  | | 
% 197.17/34.02  | | REF_CLOSE: (1), (2), (3), (13) are inconsistent by sub-proof #1884.
% 197.17/34.02  | | 
% 197.17/34.02  | End of split
% 197.17/34.02  | 
% 197.17/34.02  End of proof
% 197.17/34.02  
% 197.17/34.02  Sub-proof #1258 shows that the following formulas are inconsistent:
% 197.17/34.02  ----------------------------------------------------------------
% 197.17/34.02    (1)  all_54_8 = all_52_2
% 197.17/34.02    (2)  all_54_8 = e2
% 197.17/34.02    (3)   ~ (all_52_2 = e2)
% 197.17/34.02  
% 197.17/34.02  Begin of proof
% 197.17/34.02  | 
% 197.17/34.02  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.02  |   (4)  all_52_2 = e2
% 197.17/34.02  | 
% 197.17/34.02  | SIMP: (4) implies:
% 197.17/34.02  |   (5)  all_52_2 = e2
% 197.17/34.02  | 
% 197.17/34.02  | REDUCE: (3), (5) imply:
% 197.17/34.02  |   (6)  $false
% 197.17/34.02  | 
% 197.17/34.02  | CLOSE: (6) is inconsistent.
% 197.17/34.02  | 
% 197.17/34.02  End of proof
% 197.17/34.02  
% 197.17/34.02  Sub-proof #1259 shows that the following formulas are inconsistent:
% 197.17/34.02  ----------------------------------------------------------------
% 197.17/34.02    (1)   ~ (all_52_4 = e3)
% 197.17/34.02    (2)  op(e1, e3) = all_52_2
% 197.17/34.02    (3)  op(e1, e2) = all_52_6
% 197.17/34.02    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.02    (5)  op(e3, e2) = all_52_4
% 197.17/34.02    (6)  op(e2, e2) = all_4_2
% 197.17/34.02    (7)  op(e0, e3) = all_52_3
% 197.17/34.02    (8)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.17/34.02           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.17/34.02           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.17/34.02                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.17/34.02               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.17/34.02               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.17/34.02           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.17/34.02           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.17/34.02               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.17/34.02           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.17/34.02               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.17/34.02           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.17/34.02           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.17/34.02               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.17/34.02               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.17/34.02               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.02         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.17/34.02           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.17/34.02           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.17/34.02               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.17/34.02             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.17/34.02         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.17/34.02           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.17/34.02           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.17/34.02                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.17/34.02               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.17/34.02               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.17/34.02           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.17/34.02           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.17/34.02             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.17/34.02           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.17/34.02               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.17/34.02           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.17/34.02           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.17/34.02               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.17/34.02               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.17/34.02               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.02         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.17/34.02           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.17/34.02           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.17/34.02               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.17/34.02             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.17/34.02    (9)  op(e3, e3) = e3
% 197.17/34.02    (10)   ~ (all_4_2 = e3)
% 197.17/34.02    (11)   ~ (e1 = e0)
% 197.17/34.02    (12)   ~ (all_52_3 = e0)
% 197.17/34.02    (13)   ~ (all_52_2 = e1)
% 197.17/34.02    (14)  op(e2, e2) = e0
% 197.17/34.02    (15)   ~ (e3 = e1)
% 197.17/34.02    (16)   ~ (all_52_6 = e1)
% 197.17/34.02    (17)   ~ (e3 = e0)
% 197.17/34.02  
% 197.17/34.02  Begin of proof
% 197.17/34.02  | 
% 197.17/34.02  | BETA: splitting (8) gives:
% 197.17/34.02  | 
% 197.17/34.02  | Case 1:
% 197.17/34.02  | | 
% 197.17/34.02  | |   (18)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.17/34.02  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.17/34.02  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.17/34.02  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.17/34.02  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.17/34.02  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 197.17/34.02  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.17/34.02  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 197.17/34.02  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.17/34.02  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 197.17/34.02  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 197.17/34.02  | |               $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 & all_57_10 =
% 197.17/34.02  | |           e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 197.17/34.02  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.17/34.02  | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.17/34.02  | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.17/34.02  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.02  | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 197.17/34.02  | |           all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.17/34.02  | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.17/34.02  | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.17/34.02  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.17/34.02  | |                 e3) = all_57_2 & $i(all_57_2))))
% 197.17/34.02  | | 
% 197.17/34.02  | | BETA: splitting (18) gives:
% 197.17/34.02  | | 
% 197.17/34.02  | | Case 1:
% 197.17/34.02  | | | 
% 197.17/34.02  | | |   (19)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2
% 197.17/34.02  | | |           & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.17/34.02  | | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.17/34.02  | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.17/34.02  | | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.17/34.02  | | |               op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 197.17/34.02  | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 197.17/34.02  | | |             e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 197.17/34.02  | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.17/34.02  | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 197.17/34.02  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.17/34.02  | | |               all_57_2 & $i(all_57_2))))
% 197.17/34.02  | | | 
% 197.17/34.02  | | | REF_CLOSE: (1), (4), (5), (6), (10), (19) are inconsistent by sub-proof
% 197.17/34.02  | | |            #1530.
% 197.17/34.02  | | | 
% 197.17/34.02  | | Case 2:
% 197.17/34.02  | | | 
% 197.17/34.02  | | |   (20)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 197.17/34.02  | | |           & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.17/34.02  | | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.17/34.02  | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.17/34.02  | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 197.17/34.02  | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 &
% 197.17/34.02  | | |           all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 197.17/34.02  | | |             e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.17/34.02  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.17/34.02  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 &
% 197.17/34.02  | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.17/34.02  | | |               all_57_2 & $i(all_57_2))))
% 197.17/34.02  | | | 
% 197.17/34.02  | | | REF_CLOSE: (2), (4), (9), (13), (15), (20) are inconsistent by sub-proof
% 197.17/34.02  | | |            #1672.
% 197.17/34.02  | | | 
% 197.17/34.02  | | End of split
% 197.17/34.02  | | 
% 197.17/34.02  | Case 2:
% 197.17/34.02  | | 
% 197.17/34.03  | |   (21)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.17/34.03  | |           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.17/34.03  | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.17/34.03  | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 197.17/34.03  | |           ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 197.17/34.03  | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 197.17/34.03  | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 197.17/34.03  | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 197.17/34.03  | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 197.17/34.03  | |                 e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 197.17/34.03  | |                 e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.17/34.03  | |               $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 & all_57_12 =
% 197.17/34.03  | |           e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 197.17/34.03  | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.17/34.03  | |               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.17/34.03  | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.17/34.03  | |               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.03  | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.17/34.03  | |           all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.17/34.03  | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.17/34.03  | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.17/34.03  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.17/34.03  | |                 e2) = all_57_5 & $i(all_57_5))))
% 197.17/34.03  | | 
% 197.17/34.03  | | BETA: splitting (21) gives:
% 197.17/34.03  | | 
% 197.17/34.03  | | Case 1:
% 197.17/34.03  | | | 
% 197.17/34.03  | | |   (22)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 197.17/34.03  | | |           & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.17/34.03  | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.17/34.03  | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))
% 197.17/34.03  | | |           & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 197.17/34.03  | | |               op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 197.17/34.03  | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3,
% 197.17/34.03  | | |             e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 197.17/34.03  | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.17/34.03  | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 197.17/34.03  | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.17/34.03  | | |               all_57_1 & $i(all_57_1))))
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REF_CLOSE: (4), (7), (9), (12), (17), (22) are inconsistent by sub-proof
% 197.17/34.03  | | |            #1328.
% 197.17/34.03  | | | 
% 197.17/34.03  | | Case 2:
% 197.17/34.03  | | | 
% 197.17/34.03  | | |   (23)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1
% 197.17/34.03  | | |           & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.17/34.03  | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.17/34.03  | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.17/34.03  | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 197.17/34.03  | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 &
% 197.17/34.03  | | |           all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2,
% 197.17/34.03  | | |             e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.17/34.03  | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.17/34.03  | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 &
% 197.17/34.03  | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.17/34.03  | | |               all_57_5 & $i(all_57_5))))
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REF_CLOSE: (3), (4), (11), (14), (16), (23) are inconsistent by sub-proof
% 197.17/34.03  | | |            #1731.
% 197.17/34.03  | | | 
% 197.17/34.03  | | End of split
% 197.17/34.03  | | 
% 197.17/34.03  | End of split
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1260 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)  all_54_14 = all_52_11
% 197.17/34.03    (2)  all_54_14 = e3
% 197.17/34.03    (3)   ~ (all_52_11 = e3)
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.03  |   (4)  all_52_11 = e3
% 197.17/34.03  | 
% 197.17/34.03  | SIMP: (4) implies:
% 197.17/34.03  |   (5)  all_52_11 = e3
% 197.17/34.03  | 
% 197.17/34.03  | REDUCE: (3), (5) imply:
% 197.17/34.03  |   (6)  $false
% 197.17/34.03  | 
% 197.17/34.03  | CLOSE: (6) is inconsistent.
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1261 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)  all_56_11 = e1
% 197.17/34.03    (2)   ~ (e3 = e2)
% 197.17/34.03    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.03    (4)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.17/34.03    (5)   ~ (e2 = e1)
% 197.17/34.03    (6)  op(e1, e1) = e3
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | BETA: splitting (4) gives:
% 197.17/34.03  | 
% 197.17/34.03  | Case 1:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (7) implies:
% 197.17/34.03  | |   (8)  op(e1, e1) = e2
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1777.
% 197.17/34.03  | | 
% 197.17/34.03  | Case 2:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (9)  all_56_11 = e2 & op(e1, e0) = e2
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (9) implies:
% 197.17/34.03  | |   (10)  all_56_11 = e2
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #1615.
% 197.17/34.03  | | 
% 197.17/34.03  | End of split
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1262 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)  all_56_7 = e2 & op(e1, e2) = e2
% 197.17/34.03    (2)  all_56_7 = e0
% 197.17/34.03    (3)   ~ (e2 = e0)
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | ALPHA: (1) implies:
% 197.17/34.03  |   (4)  all_56_7 = e2
% 197.17/34.03  | 
% 197.17/34.03  | COMBINE_EQS: (2), (4) imply:
% 197.17/34.03  |   (5)  e2 = e0
% 197.17/34.03  | 
% 197.17/34.03  | REDUCE: (3), (5) imply:
% 197.17/34.03  |   (6)  $false
% 197.17/34.03  | 
% 197.17/34.03  | CLOSE: (6) is inconsistent.
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1263 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.17/34.03           all_57_3 & $i(all_57_3))
% 197.17/34.03    (2)  op(e3, e2) = e1
% 197.17/34.03    (3)   ~ (all_52_3 = e3)
% 197.17/34.03    (4)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.17/34.03         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.17/34.03    (5)   ~ (e3 = e2)
% 197.17/34.03    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.03    (7)  op(e2, e2) = all_4_2
% 197.17/34.03    (8)   ~ (all_57_15 = e3)
% 197.17/34.03    (9)  ( ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) = all_20_1
% 197.17/34.03           & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e2) & op(e1, e3) =
% 197.17/34.03           all_20_1 & $i(all_20_1))
% 197.17/34.03    (10)  op(e0, e3) = all_52_3
% 197.17/34.03    (11)  op(e0, e3) = e0
% 197.17/34.03    (12)  op(e1, e3) = e2
% 197.17/34.03    (13)  op(e0, e0) = all_57_15
% 197.17/34.03    (14)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.17/34.03              e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.03            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 197.17/34.03             ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.17/34.03              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.17/34.03            (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.17/34.03            all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.17/34.03            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 197.17/34.03            = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.17/34.03          (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.17/34.03              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.17/34.03            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &
% 197.17/34.03             ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 197.17/34.03              e1) = e0 & $i(all_57_7))
% 197.17/34.03    (15)  op(e1, e3) = all_57_1
% 197.17/34.03    (16)  op(e0, e1) = all_52_11
% 197.17/34.03    (17)  op(e3, e3) = e3
% 197.17/34.03    (18)  op(e1, e3) = all_30_1
% 197.17/34.03    (19)   ~ (all_4_2 = e3)
% 197.17/34.03    (20)   ~ (all_30_1 = e0)
% 197.17/34.03    (21)  all_56_4 = e2
% 197.17/34.03    (22)  op(e0, e0) = e2
% 197.17/34.03    (23)   ~ (all_52_3 = all_52_11)
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | BETA: splitting (9) gives:
% 197.17/34.03  | 
% 197.17/34.03  | Case 1:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (24)   ~ (all_20_0 = e0) & op(all_20_1, e1) = all_20_0 & op(e1, e3) =
% 197.17/34.03  | |         all_20_1 & $i(all_20_0) & $i(all_20_1)
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (24) implies:
% 197.17/34.03  | |   (25)   ~ (all_20_0 = e0)
% 197.17/34.03  | |   (26)  op(e1, e3) = all_20_1
% 197.17/34.03  | |   (27)  op(all_20_1, e1) = all_20_0
% 197.17/34.03  | | 
% 197.17/34.03  | | BETA: splitting (1) gives:
% 197.17/34.03  | | 
% 197.17/34.03  | | Case 1:
% 197.17/34.03  | | | 
% 197.17/34.03  | | |   (28)  all_57_10 = e2 & op(e3, e3) = e2
% 197.17/34.03  | | | 
% 197.17/34.03  | | | ALPHA: (28) implies:
% 197.17/34.03  | | |   (29)  op(e3, e3) = e2
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REF_CLOSE: (5), (6), (17), (29) are inconsistent by sub-proof #1957.
% 197.17/34.03  | | | 
% 197.17/34.03  | | Case 2:
% 197.17/34.03  | | | 
% 197.17/34.03  | | |   (30)   ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3)
% 197.17/34.03  | | | 
% 197.17/34.03  | | | ALPHA: (30) implies:
% 197.17/34.03  | | |   (31)   ~ (all_57_3 = e3)
% 197.17/34.03  | | |   (32)  op(e3, e2) = all_57_3
% 197.17/34.03  | | | 
% 197.17/34.03  | | | GROUND_INST: instantiating (6) with e2, all_57_15, e0, e0, simplifying
% 197.17/34.03  | | |              with (13), (22) gives:
% 197.17/34.03  | | |   (33)  all_57_15 = e2
% 197.17/34.03  | | | 
% 197.17/34.03  | | | GROUND_INST: instantiating (6) with all_52_3, e0, e3, e0, simplifying with
% 197.17/34.03  | | |              (10), (11) gives:
% 197.17/34.03  | | |   (34)  all_52_3 = e0
% 197.17/34.03  | | | 
% 197.17/34.03  | | | GROUND_INST: instantiating (6) with e2, all_30_1, e3, e1, simplifying with
% 197.17/34.03  | | |              (12), (18) gives:
% 197.17/34.03  | | |   (35)  all_30_1 = e2
% 197.17/34.03  | | | 
% 197.17/34.03  | | | GROUND_INST: instantiating (6) with all_30_1, all_57_1, e3, e1,
% 197.17/34.03  | | |              simplifying with (15), (18) gives:
% 197.17/34.03  | | |   (36)  all_57_1 = all_30_1
% 197.17/34.03  | | | 
% 197.17/34.03  | | | GROUND_INST: instantiating (6) with all_20_1, all_57_1, e3, e1,
% 197.17/34.03  | | |              simplifying with (15), (26) gives:
% 197.17/34.03  | | |   (37)  all_57_1 = all_20_1
% 197.17/34.03  | | | 
% 197.17/34.03  | | | GROUND_INST: instantiating (6) with e1, all_57_3, e2, e3, simplifying with
% 197.17/34.03  | | |              (2), (32) gives:
% 197.17/34.03  | | |   (38)  all_57_3 = e1
% 197.17/34.03  | | | 
% 197.17/34.03  | | | COMBINE_EQS: (36), (37) imply:
% 197.17/34.03  | | |   (39)  all_30_1 = all_20_1
% 197.17/34.03  | | | 
% 197.17/34.03  | | | SIMP: (39) implies:
% 197.17/34.03  | | |   (40)  all_30_1 = all_20_1
% 197.17/34.03  | | | 
% 197.17/34.03  | | | COMBINE_EQS: (35), (40) imply:
% 197.17/34.03  | | |   (41)  all_20_1 = e2
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REDUCE: (31), (38) imply:
% 197.17/34.03  | | |   (42)   ~ (e3 = e1)
% 197.17/34.03  | | | 
% 197.17/34.03  | | | SIMP: (42) implies:
% 197.17/34.03  | | |   (43)   ~ (e3 = e1)
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REDUCE: (8), (33) imply:
% 197.17/34.03  | | |   (44)   ~ (e3 = e2)
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REDUCE: (23), (34) imply:
% 197.17/34.03  | | |   (45)   ~ (all_52_11 = e0)
% 197.17/34.03  | | | 
% 197.17/34.03  | | | SIMP: (45) implies:
% 197.17/34.03  | | |   (46)   ~ (all_52_11 = e0)
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REDUCE: (3), (34) imply:
% 197.17/34.03  | | |   (47)   ~ (e3 = e0)
% 197.17/34.03  | | | 
% 197.17/34.03  | | | SIMP: (47) implies:
% 197.17/34.03  | | |   (48)   ~ (e3 = e0)
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REDUCE: (20), (35) imply:
% 197.17/34.03  | | |   (49)   ~ (e2 = e0)
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REF_CLOSE: (4), (5), (6), (7), (14), (16), (17), (19), (21), (25), (27),
% 197.17/34.03  | | |            (41), (43), (46), (48), (49) are inconsistent by sub-proof
% 197.17/34.03  | | |            #1268.
% 197.17/34.03  | | | 
% 197.17/34.03  | | End of split
% 197.17/34.03  | | 
% 197.17/34.03  | Case 2:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (50)   ~ (all_20_1 = e2) & op(e1, e3) = all_20_1 & $i(all_20_1)
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (50) implies:
% 197.17/34.03  | |   (51)   ~ (all_20_1 = e2)
% 197.17/34.03  | |   (52)  op(e1, e3) = all_20_1
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (6), (12), (18), (51), (52) are inconsistent by sub-proof #1267.
% 197.17/34.03  | | 
% 197.17/34.03  | End of split
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1264 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.03    (2)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.17/34.03             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.17/34.03           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 197.17/34.03           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 197.17/34.03             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.17/34.03           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.17/34.03           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.17/34.03    (3)  op(e3, e3) = e3
% 197.17/34.03    (4)  op(e0, e2) = all_28_1
% 197.17/34.03    (5)   ~ (e2 = e1)
% 197.17/34.03    (6)  op(e2, e2) = e2
% 197.17/34.03    (7)   ~ (e3 = e1)
% 197.17/34.03    (8)  op(e0, e2) = e3
% 197.17/34.03    (9)   ~ (e3 = e0)
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | BETA: splitting (2) gives:
% 197.17/34.03  | 
% 197.17/34.03  | Case 1:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (10)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.17/34.03  | |           = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 197.17/34.03  | |         & $i(all_57_4)
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (10) implies:
% 197.17/34.03  | |   (11)  op(e0, e2) = e0
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (1), (4), (8), (9), (11) are inconsistent by sub-proof #1668.
% 197.17/34.03  | | 
% 197.17/34.03  | Case 2:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (12)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 197.17/34.03  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 197.17/34.03  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.17/34.03  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 197.17/34.03  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (1), (3), (5), (6), (7), (12) are inconsistent by sub-proof
% 197.17/34.03  | |            #1265.
% 197.17/34.03  | | 
% 197.17/34.03  | End of split
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1265 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.03    (2)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.17/34.03             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.17/34.03           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 197.17/34.03           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 197.17/34.03             e1) = e0 & $i(all_57_7))
% 197.17/34.03    (3)  op(e3, e3) = e3
% 197.17/34.03    (4)   ~ (e2 = e1)
% 197.17/34.03    (5)  op(e2, e2) = e2
% 197.17/34.03    (6)   ~ (e3 = e1)
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | BETA: splitting (2) gives:
% 197.17/34.03  | 
% 197.17/34.03  | Case 1:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.17/34.03  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.17/34.03  | |        $i(all_57_6)
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (7) implies:
% 197.17/34.03  | |   (8)  op(e3, e3) = e1
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1966.
% 197.17/34.03  | | 
% 197.17/34.03  | Case 2:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.17/34.03  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.17/34.03  | |        $i(all_57_7)
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (9) implies:
% 197.17/34.03  | |   (10)  op(e2, e2) = e1
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1783.
% 197.17/34.03  | | 
% 197.17/34.03  | End of split
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1266 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.17/34.03             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.17/34.03           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.17/34.03               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.17/34.03             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.03         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.17/34.03             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.17/34.03           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.17/34.03               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.17/34.03             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.17/34.03    (2)   ~ (e3 = e2)
% 197.17/34.03    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.03    (4)  op(e2, e2) = all_4_2
% 197.17/34.03    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.17/34.03             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.03           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.17/34.03           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.17/34.03             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.17/34.03           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.17/34.03           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.17/34.03           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.17/34.03           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.17/34.03           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.17/34.03           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.17/34.03         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.17/34.03             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.17/34.03           $i(all_57_7))
% 197.17/34.03    (6)  op(e3, e3) = e3
% 197.17/34.03    (7)   ~ (all_4_2 = e1)
% 197.17/34.03    (8)   ~ (all_4_2 = e3)
% 197.17/34.03    (9)   ~ (e2 = e1)
% 197.17/34.03    (10)  op(e1, e0) = e1
% 197.17/34.03    (11)   ~ (e3 = e1)
% 197.17/34.03    (12)  op(e1, e1) = e3
% 197.17/34.03    (13)   ~ (e3 = e0)
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | BETA: splitting (1) gives:
% 197.17/34.03  | 
% 197.17/34.03  | Case 1:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (14)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 197.17/34.03  | |             e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.17/34.03  | |             $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.17/34.03  | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.17/34.03  | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.17/34.03  | |               e1) = all_57_8 & $i(all_57_8)))
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (14) implies:
% 197.17/34.03  | |   (15)  op(e1, e1) = e1
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (15) are
% 197.17/34.03  | |            inconsistent by sub-proof #1953.
% 197.17/34.03  | | 
% 197.17/34.03  | Case 2:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (16)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 197.17/34.03  | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.17/34.03  | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.17/34.03  | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 197.17/34.03  | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.03  | |               e0) = all_57_13 & $i(all_57_13)))
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (16) implies:
% 197.17/34.03  | |   (17)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.17/34.03  | |             e0) = all_57_13 & $i(all_57_13))
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (3), (10), (12), (13), (17) are inconsistent by sub-proof #1271.
% 197.17/34.03  | | 
% 197.17/34.03  | End of split
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1267 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.03    (2)   ~ (all_20_1 = e2)
% 197.17/34.03    (3)  op(e1, e3) = e2
% 197.17/34.03    (4)  op(e1, e3) = all_30_1
% 197.17/34.03    (5)  op(e1, e3) = all_20_1
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | GROUND_INST: instantiating (1) with e2, all_30_1, e3, e1, simplifying with
% 197.17/34.03  |              (3), (4) gives:
% 197.17/34.03  |   (6)  all_30_1 = e2
% 197.17/34.03  | 
% 197.17/34.03  | GROUND_INST: instantiating (1) with all_20_1, all_30_1, e3, e1, simplifying
% 197.17/34.03  |              with (4), (5) gives:
% 197.17/34.03  |   (7)  all_30_1 = all_20_1
% 197.17/34.03  | 
% 197.17/34.03  | COMBINE_EQS: (6), (7) imply:
% 197.17/34.03  |   (8)  all_20_1 = e2
% 197.17/34.03  | 
% 197.17/34.03  | REDUCE: (2), (8) imply:
% 197.17/34.03  |   (9)  $false
% 197.17/34.03  | 
% 197.17/34.03  | CLOSE: (9) is inconsistent.
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1268 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.17/34.03         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.17/34.03    (2)   ~ (e3 = e2)
% 197.17/34.03    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.03    (4)  op(e2, e2) = all_4_2
% 197.17/34.03    (5)  all_20_1 = e2
% 197.17/34.03    (6)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.17/34.03             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.03           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.17/34.03           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.17/34.03             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.17/34.03           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.17/34.03           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.17/34.03           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.17/34.03           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.17/34.03           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.17/34.03           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.17/34.03         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.17/34.03             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.17/34.03           $i(all_57_7))
% 197.17/34.03    (7)   ~ (all_20_0 = e0)
% 197.17/34.03    (8)  op(e0, e1) = all_52_11
% 197.17/34.03    (9)  op(e3, e3) = e3
% 197.17/34.03    (10)   ~ (all_4_2 = e3)
% 197.17/34.03    (11)  all_56_4 = e2
% 197.17/34.03    (12)  op(all_20_1, e1) = all_20_0
% 197.17/34.03    (13)   ~ (all_52_11 = e0)
% 197.17/34.03    (14)   ~ (e3 = e1)
% 197.17/34.03    (15)   ~ (e2 = e0)
% 197.17/34.03    (16)   ~ (e3 = e0)
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | REDUCE: (5), (12) imply:
% 197.17/34.03  |   (17)  op(e2, e1) = all_20_0
% 197.17/34.03  | 
% 197.17/34.03  | BETA: splitting (1) gives:
% 197.17/34.03  | 
% 197.17/34.03  | Case 1:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 197.17/34.03  | |           e0)
% 197.17/34.03  | | 
% 197.17/34.03  | | BETA: splitting (18) gives:
% 197.17/34.03  | | 
% 197.17/34.03  | | Case 1:
% 197.17/34.03  | | | 
% 197.17/34.03  | | |   (19)  all_56_4 = e0 & op(e3, e1) = e0
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REF_CLOSE: (11), (15), (19) are inconsistent by sub-proof #1876.
% 197.17/34.03  | | | 
% 197.17/34.03  | | Case 2:
% 197.17/34.03  | | | 
% 197.17/34.03  | | |   (20)  all_56_5 = e0 & op(e2, e1) = e0
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REF_CLOSE: (3), (7), (17), (20) are inconsistent by sub-proof #1269.
% 197.17/34.03  | | | 
% 197.17/34.03  | | End of split
% 197.17/34.03  | | 
% 197.17/34.03  | Case 2:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (21)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.17/34.03  | |           e0)
% 197.17/34.03  | | 
% 197.17/34.03  | | BETA: splitting (21) gives:
% 197.17/34.03  | | 
% 197.17/34.03  | | Case 1:
% 197.17/34.03  | | | 
% 197.17/34.03  | | |   (22)  all_56_8 = e0 & op(e1, e1) = e0
% 197.17/34.03  | | | 
% 197.17/34.03  | | | ALPHA: (22) implies:
% 197.17/34.03  | | |   (23)  op(e1, e1) = e0
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REF_CLOSE: (2), (3), (4), (6), (8), (9), (10), (13), (14), (15), (16),
% 197.17/34.03  | | |            (23) are inconsistent by sub-proof #1630.
% 197.17/34.03  | | | 
% 197.17/34.03  | | Case 2:
% 197.17/34.03  | | | 
% 197.17/34.03  | | |   (24)  all_56_14 = e0 & op(e0, e1) = e0
% 197.17/34.03  | | | 
% 197.17/34.03  | | | ALPHA: (24) implies:
% 197.17/34.03  | | |   (25)  op(e0, e1) = e0
% 197.17/34.03  | | | 
% 197.17/34.03  | | | REF_CLOSE: (3), (8), (13), (25) are inconsistent by sub-proof #1931.
% 197.17/34.03  | | | 
% 197.17/34.03  | | End of split
% 197.17/34.03  | | 
% 197.17/34.03  | End of split
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1269 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)  all_56_5 = e0 & op(e2, e1) = e0
% 197.17/34.03    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.03    (3)  op(e2, e1) = all_20_0
% 197.17/34.03    (4)   ~ (all_20_0 = e0)
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | ALPHA: (1) implies:
% 197.17/34.03  |   (5)  op(e2, e1) = e0
% 197.17/34.03  | 
% 197.17/34.03  | GROUND_INST: instantiating (2) with e0, all_20_0, e1, e2, simplifying with
% 197.17/34.03  |              (3), (5) gives:
% 197.17/34.03  |   (6)  all_20_0 = e0
% 197.17/34.03  | 
% 197.17/34.03  | REDUCE: (4), (6) imply:
% 197.17/34.03  |   (7)  $false
% 197.17/34.03  | 
% 197.17/34.03  | CLOSE: (7) is inconsistent.
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1270 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)  op(e1, e2) = all_52_6
% 197.17/34.03    (2)   ~ (all_52_14 = e0)
% 197.17/34.03    (3)   ~ (e3 = e2)
% 197.17/34.03    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.03    (5)   ~ (all_52_14 = e3)
% 197.17/34.03    (6)  op(e1, e0) = all_52_14
% 197.17/34.03    (7)  all_56_6 = e2
% 197.17/34.03    (8)   ~ (all_52_6 = e3)
% 197.17/34.03    (9)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.17/34.03           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.17/34.03           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.17/34.03                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 197.17/34.03               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.17/34.03               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 197.17/34.03           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 197.17/34.03             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.17/34.03               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.17/34.03           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.17/34.03               = all_57_7 & $i(all_57_7))))
% 197.17/34.03    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.17/34.03          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.17/34.03    (11)   ~ (e3 = e0)
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | BETA: splitting (9) gives:
% 197.17/34.03  | 
% 197.17/34.03  | Case 1:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (12)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.17/34.03  | |         op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.17/34.03  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 197.17/34.03  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 197.17/34.03  | |             e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.17/34.03  | |             all_57_11 & $i(all_57_11)))
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (12) implies:
% 197.17/34.03  | |   (13)  op(e1, e1) = e0
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (13) are
% 197.17/34.03  | |            inconsistent by sub-proof #1405.
% 197.17/34.03  | | 
% 197.17/34.03  | Case 2:
% 197.17/34.03  | | 
% 197.17/34.03  | |   (14)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 197.17/34.03  | |         all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.17/34.03  | |         $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6
% 197.17/34.03  | |               = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 =
% 197.17/34.03  | |             e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 197.17/34.03  | |             all_57_7 & $i(all_57_7)))
% 197.17/34.03  | | 
% 197.17/34.03  | | ALPHA: (14) implies:
% 197.17/34.03  | |   (15)  op(e1, e0) = e0
% 197.17/34.03  | | 
% 197.17/34.03  | | REF_CLOSE: (2), (4), (6), (15) are inconsistent by sub-proof #1884.
% 197.17/34.03  | | 
% 197.17/34.03  | End of split
% 197.17/34.03  | 
% 197.17/34.03  End of proof
% 197.17/34.03  
% 197.17/34.03  Sub-proof #1271 shows that the following formulas are inconsistent:
% 197.17/34.03  ----------------------------------------------------------------
% 197.17/34.03    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.03    (2)  (all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.17/34.03           all_57_13 & $i(all_57_13))
% 197.17/34.03    (3)  op(e1, e0) = e1
% 197.17/34.03    (4)  op(e1, e1) = e3
% 197.17/34.03    (5)   ~ (e3 = e0)
% 197.17/34.03  
% 197.17/34.03  Begin of proof
% 197.17/34.03  | 
% 197.17/34.03  | BETA: splitting (2) gives:
% 197.17/34.03  | 
% 197.17/34.03  | Case 1:
% 197.17/34.03  | | 
% 197.17/34.04  | |   (6)  all_57_14 = e0 & op(e1, e1) = e0
% 197.17/34.04  | | 
% 197.17/34.04  | | ALPHA: (6) implies:
% 197.17/34.04  | |   (7)  op(e1, e1) = e0
% 197.17/34.04  | | 
% 197.17/34.04  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1824.
% 197.17/34.04  | | 
% 197.17/34.04  | Case 2:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (8)   ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13)
% 197.17/34.04  | | 
% 197.17/34.04  | | ALPHA: (8) implies:
% 197.17/34.04  | |   (9)   ~ (all_57_13 = e1)
% 197.17/34.04  | |   (10)  op(e1, e0) = all_57_13
% 197.17/34.04  | | 
% 197.17/34.04  | | REF_CLOSE: (1), (3), (9), (10) are inconsistent by sub-proof #1437.
% 197.17/34.04  | | 
% 197.17/34.04  | End of split
% 197.17/34.04  | 
% 197.17/34.04  End of proof
% 197.17/34.04  
% 197.17/34.04  Sub-proof #1272 shows that the following formulas are inconsistent:
% 197.17/34.04  ----------------------------------------------------------------
% 197.17/34.04    (1)  op(e1, e2) = all_52_6
% 197.17/34.04    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.04    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.17/34.04           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.17/34.04           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.17/34.04                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 197.17/34.04               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.17/34.04               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.17/34.04           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 197.17/34.04           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.17/34.04               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.17/34.04           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.17/34.04               = all_57_5 & $i(all_57_5))))
% 197.17/34.04    (4)   ~ (e2 = e1)
% 197.17/34.04    (5)  op(e2, e2) = e2
% 197.17/34.04    (6)   ~ (all_52_6 = e1)
% 197.17/34.04  
% 197.17/34.04  Begin of proof
% 197.17/34.04  | 
% 197.17/34.04  | BETA: splitting (3) gives:
% 197.17/34.04  | 
% 197.17/34.04  | Case 1:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.17/34.04  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.17/34.04  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.17/34.04  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 197.17/34.04  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.17/34.04  | |            & $i(all_57_8)))
% 197.17/34.04  | | 
% 197.17/34.04  | | ALPHA: (7) implies:
% 197.17/34.04  | |   (8)  op(e2, e2) = e1
% 197.17/34.04  | | 
% 197.17/34.04  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1783.
% 197.17/34.04  | | 
% 197.17/34.04  | Case 2:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.17/34.04  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.17/34.04  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 197.17/34.04  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.17/34.04  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.17/34.04  | |            & $i(all_57_5)))
% 197.17/34.04  | | 
% 197.17/34.04  | | ALPHA: (9) implies:
% 197.17/34.04  | |   (10)  op(e1, e2) = e1
% 197.17/34.04  | | 
% 197.17/34.04  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1970.
% 197.17/34.04  | | 
% 197.17/34.04  | End of split
% 197.17/34.04  | 
% 197.17/34.04  End of proof
% 197.17/34.04  
% 197.17/34.04  Sub-proof #1273 shows that the following formulas are inconsistent:
% 197.17/34.04  ----------------------------------------------------------------
% 197.17/34.04    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.04    (2)   ~ (all_57_15 = e3)
% 197.17/34.04    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.17/34.04           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.17/34.04           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.17/34.04                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.17/34.04               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.17/34.04               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.17/34.04           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.17/34.04           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.17/34.04             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.17/34.04           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.17/34.04               = all_57_1 & $i(all_57_1))))
% 197.17/34.04    (4)  op(e0, e0) = all_57_15
% 197.17/34.04    (5)  op(e3, e3) = e3
% 197.17/34.04    (6)   ~ (e3 = e0)
% 197.17/34.04  
% 197.17/34.04  Begin of proof
% 197.17/34.04  | 
% 197.17/34.04  | BETA: splitting (3) gives:
% 197.17/34.04  | 
% 197.17/34.04  | Case 1:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.17/34.04  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.17/34.04  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 197.17/34.04  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 197.17/34.04  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.17/34.04  | |            all_57_13 & $i(all_57_13)))
% 197.17/34.04  | | 
% 197.17/34.04  | | ALPHA: (7) implies:
% 197.17/34.04  | |   (8)  op(e3, e3) = e0
% 197.17/34.04  | | 
% 197.17/34.04  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1961.
% 197.17/34.04  | | 
% 197.17/34.04  | Case 2:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 197.17/34.04  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.17/34.04  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.17/34.04  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.17/34.04  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 197.17/34.04  | |            & $i(all_57_1)))
% 197.17/34.04  | | 
% 197.17/34.04  | | ALPHA: (9) implies:
% 197.17/34.04  | |   (10)  op(e0, e0) = e3
% 197.17/34.04  | | 
% 197.17/34.04  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1276.
% 197.17/34.04  | | 
% 197.17/34.04  | End of split
% 197.17/34.04  | 
% 197.17/34.04  End of proof
% 197.17/34.04  
% 197.17/34.04  Sub-proof #1274 shows that the following formulas are inconsistent:
% 197.17/34.04  ----------------------------------------------------------------
% 197.17/34.04    (1)   ~ (all_52_4 = e3)
% 197.17/34.04    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.04    (3)  op(e3, e2) = all_52_4
% 197.17/34.04    (4)  op(e2, e2) = all_4_2
% 197.17/34.04    (5)   ~ (all_57_15 = e3)
% 197.17/34.04    (6)  op(e0, e3) = e0
% 197.17/34.04    (7)  op(e0, e0) = all_57_15
% 197.17/34.04    (8)  op(e3, e3) = e3
% 197.17/34.04    (9)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.17/34.04           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.17/34.04           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.17/34.04                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.17/34.04               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.17/34.04               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.17/34.04           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.17/34.04           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.17/34.04               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.17/34.04           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.17/34.04               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.17/34.04           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.17/34.04           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.17/34.04               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.17/34.04               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.17/34.04               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.17/34.04         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.17/34.04           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.17/34.04           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.17/34.04               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.17/34.04             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.17/34.04    (10)   ~ (all_4_2 = e3)
% 197.17/34.04    (11)   ~ (e3 = e1)
% 197.17/34.04  
% 197.17/34.04  Begin of proof
% 197.17/34.04  | 
% 197.17/34.04  | BETA: splitting (9) gives:
% 197.17/34.04  | 
% 197.17/34.04  | Case 1:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (12)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.17/34.04  | |           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.17/34.04  | |           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.17/34.04  | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.17/34.04  | |           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.17/34.04  | |                 e2) = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 & all_57_3
% 197.17/34.04  | |           = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.17/34.04  | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_14 =
% 197.17/34.04  | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.17/34.04  | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) =
% 197.17/34.04  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 197.17/34.04  | |               $i(all_57_2))))
% 197.17/34.04  | | 
% 197.17/34.04  | | REF_CLOSE: (1), (2), (3), (4), (10), (12) are inconsistent by sub-proof
% 197.17/34.04  | |            #1530.
% 197.17/34.04  | | 
% 197.17/34.04  | Case 2:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (13)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.17/34.04  | |           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.17/34.04  | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.17/34.04  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.17/34.04  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.17/34.04  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6
% 197.17/34.04  | |           = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.17/34.04  | |           op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 =
% 197.17/34.04  | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.17/34.04  | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) =
% 197.17/34.04  | |               e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 197.17/34.04  | |               $i(all_57_2))))
% 197.17/34.04  | | 
% 197.17/34.04  | | BETA: splitting (13) gives:
% 197.17/34.04  | | 
% 197.17/34.04  | | Case 1:
% 197.17/34.04  | | | 
% 197.17/34.04  | | |   (14)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.17/34.04  | | |         op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.17/34.04  | | |         $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.17/34.04  | | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.17/34.04  | | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.17/34.04  | | |               e1) = all_57_8 & $i(all_57_8)))
% 197.17/34.04  | | | 
% 197.17/34.04  | | | ALPHA: (14) implies:
% 197.17/34.04  | | |   (15)  op(e3, e3) = e1
% 197.17/34.04  | | | 
% 197.17/34.04  | | | REF_CLOSE: (2), (8), (11), (15) are inconsistent by sub-proof #1966.
% 197.17/34.04  | | | 
% 197.17/34.04  | | Case 2:
% 197.17/34.04  | | | 
% 197.17/34.04  | | |   (16)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 197.17/34.04  | | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.17/34.04  | | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.17/34.04  | | |             (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.17/34.04  | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.17/34.04  | | |               e3) = all_57_2 & $i(all_57_2)))
% 197.17/34.04  | | | 
% 197.17/34.04  | | | ALPHA: (16) implies:
% 197.17/34.04  | | |   (17)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.17/34.04  | | |             e3) = all_57_2 & $i(all_57_2))
% 197.17/34.04  | | | 
% 197.17/34.04  | | | REF_CLOSE: (2), (5), (6), (7), (17) are inconsistent by sub-proof #1275.
% 197.17/34.04  | | | 
% 197.17/34.04  | | End of split
% 197.17/34.04  | | 
% 197.17/34.04  | End of split
% 197.17/34.04  | 
% 197.17/34.04  End of proof
% 197.17/34.04  
% 197.17/34.04  Sub-proof #1275 shows that the following formulas are inconsistent:
% 197.17/34.04  ----------------------------------------------------------------
% 197.17/34.04    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.04    (2)   ~ (all_57_15 = e3)
% 197.17/34.04    (3)  op(e0, e3) = e0
% 197.17/34.04    (4)  op(e0, e0) = all_57_15
% 197.17/34.04    (5)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.17/34.04           all_57_2 & $i(all_57_2))
% 197.17/34.04  
% 197.17/34.04  Begin of proof
% 197.17/34.04  | 
% 197.17/34.04  | BETA: splitting (5) gives:
% 197.17/34.04  | 
% 197.17/34.04  | Case 1:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (6)  all_57_15 = e3 & op(e0, e0) = e3
% 197.17/34.04  | | 
% 197.17/34.04  | | ALPHA: (6) implies:
% 197.17/34.04  | |   (7)  op(e0, e0) = e3
% 197.17/34.04  | | 
% 197.17/34.04  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1276.
% 197.17/34.04  | | 
% 197.17/34.04  | Case 2:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (8)   ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)
% 197.17/34.04  | | 
% 197.17/34.04  | | ALPHA: (8) implies:
% 197.17/34.04  | |   (9)   ~ (all_57_2 = e0)
% 197.17/34.04  | |   (10)  op(e0, e3) = all_57_2
% 197.17/34.04  | | 
% 197.17/34.04  | | REF_CLOSE: (1), (3), (9), (10) are inconsistent by sub-proof #1526.
% 197.17/34.04  | | 
% 197.17/34.04  | End of split
% 197.17/34.04  | 
% 197.17/34.04  End of proof
% 197.17/34.04  
% 197.17/34.04  Sub-proof #1276 shows that the following formulas are inconsistent:
% 197.17/34.04  ----------------------------------------------------------------
% 197.17/34.04    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.04    (2)  op(e0, e0) = all_57_15
% 197.17/34.04    (3)  op(e0, e0) = e3
% 197.17/34.04    (4)   ~ (all_57_15 = e3)
% 197.17/34.04  
% 197.17/34.04  Begin of proof
% 197.17/34.04  | 
% 197.17/34.04  | GROUND_INST: instantiating (1) with e3, all_57_15, e0, e0, simplifying with
% 197.17/34.04  |              (2), (3) gives:
% 197.17/34.04  |   (5)  all_57_15 = e3
% 197.17/34.04  | 
% 197.17/34.04  | REDUCE: (4), (5) imply:
% 197.17/34.04  |   (6)  $false
% 197.17/34.04  | 
% 197.17/34.04  | CLOSE: (6) is inconsistent.
% 197.17/34.04  | 
% 197.17/34.04  End of proof
% 197.17/34.04  
% 197.17/34.04  Sub-proof #1277 shows that the following formulas are inconsistent:
% 197.17/34.04  ----------------------------------------------------------------
% 197.17/34.04    (1)  all_54_11 = all_52_14
% 197.17/34.04    (2)  all_54_11 = e3
% 197.17/34.04    (3)   ~ (all_52_14 = e3)
% 197.17/34.04  
% 197.17/34.04  Begin of proof
% 197.17/34.04  | 
% 197.17/34.04  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.04  |   (4)  all_52_14 = e3
% 197.17/34.04  | 
% 197.17/34.04  | SIMP: (4) implies:
% 197.17/34.04  |   (5)  all_52_14 = e3
% 197.17/34.04  | 
% 197.17/34.04  | REDUCE: (3), (5) imply:
% 197.17/34.04  |   (6)  $false
% 197.17/34.04  | 
% 197.17/34.04  | CLOSE: (6) is inconsistent.
% 197.17/34.04  | 
% 197.17/34.04  End of proof
% 197.17/34.04  
% 197.17/34.04  Sub-proof #1278 shows that the following formulas are inconsistent:
% 197.17/34.04  ----------------------------------------------------------------
% 197.17/34.04    (1)   ~ (all_28_0 = e1)
% 197.17/34.04    (2)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.17/34.04    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.04    (4)  all_54_3 = all_28_0
% 197.17/34.04    (5)   ~ (all_28_0 = e3)
% 197.17/34.04    (6)   ~ (all_28_0 = e2)
% 197.17/34.04    (7)  op(e1, e0) = all_52_14
% 197.17/34.04    (8)  all_56_10 = e3
% 197.17/34.04    (9)  all_56_9 = e1
% 197.17/34.04    (10)   ~ (all_52_14 = all_28_0)
% 197.17/34.04    (11)   ~ (e1 = e0)
% 197.17/34.04    (12)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.17/34.04              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.17/34.04                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.17/34.04                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.17/34.04    (13)  op(e0, e0) = e2
% 197.17/34.04    (14)   ~ (e2 = e0)
% 197.17/34.04    (15)   ~ (e3 = e0)
% 197.17/34.04  
% 197.17/34.04  Begin of proof
% 197.17/34.04  | 
% 197.17/34.04  | BETA: splitting (12) gives:
% 197.17/34.04  | 
% 197.17/34.04  | Case 1:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (16)  all_56_15 = e0 & op(e0, e0) = e0
% 197.17/34.04  | | 
% 197.17/34.04  | | ALPHA: (16) implies:
% 197.17/34.04  | |   (17)  op(e0, e0) = e0
% 197.17/34.04  | | 
% 197.17/34.04  | | REF_CLOSE: (3), (13), (14), (17) are inconsistent by sub-proof #1945.
% 197.17/34.04  | | 
% 197.17/34.04  | Case 2:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (18)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 197.17/34.04  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 197.17/34.04  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.17/34.04  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 197.17/34.04  | | 
% 197.17/34.04  | | ALPHA: (18) implies:
% 197.17/34.04  | |   (19)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 197.17/34.04  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.17/34.04  | | 
% 197.17/34.04  | | BETA: splitting (19) gives:
% 197.17/34.04  | | 
% 197.17/34.04  | | Case 1:
% 197.17/34.04  | | | 
% 197.17/34.04  | | |   (20)  all_56_9 = e0 & op(e3, e0) = e0
% 197.17/34.04  | | | 
% 197.17/34.04  | | | REF_CLOSE: (9), (11), (20) are inconsistent by sub-proof #1875.
% 197.17/34.04  | | | 
% 197.17/34.04  | | Case 2:
% 197.17/34.04  | | | 
% 197.17/34.04  | | |   (21)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.17/34.04  | | |           = e0)
% 197.17/34.04  | | | 
% 197.17/34.04  | | | BETA: splitting (21) gives:
% 197.17/34.04  | | | 
% 197.17/34.04  | | | Case 1:
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | |   (22)  all_56_10 = e0 & op(e2, e0) = e0
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | | REF_CLOSE: (8), (15), (22) are inconsistent by sub-proof #1548.
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | Case 2:
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | |   (23)  all_56_11 = e0 & op(e1, e0) = e0
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | | ALPHA: (23) implies:
% 197.17/34.04  | | | |   (24)  op(e1, e0) = e0
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (24) are
% 197.17/34.04  | | | |            inconsistent by sub-proof #1279.
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | End of split
% 197.17/34.04  | | | 
% 197.17/34.04  | | End of split
% 197.17/34.04  | | 
% 197.17/34.04  | End of split
% 197.17/34.04  | 
% 197.17/34.04  End of proof
% 197.17/34.04  
% 197.17/34.04  Sub-proof #1279 shows that the following formulas are inconsistent:
% 197.17/34.04  ----------------------------------------------------------------
% 197.17/34.04    (1)  op(e1, e0) = e0
% 197.17/34.04    (2)   ~ (all_28_0 = e1)
% 197.17/34.04    (3)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.17/34.04    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.04    (5)  all_54_3 = all_28_0
% 197.17/34.04    (6)   ~ (all_28_0 = e3)
% 197.17/34.04    (7)   ~ (all_28_0 = e2)
% 197.17/34.04    (8)  op(e1, e0) = all_52_14
% 197.17/34.04    (9)   ~ (all_52_14 = all_28_0)
% 197.17/34.04  
% 197.17/34.04  Begin of proof
% 197.17/34.04  | 
% 197.17/34.04  | BETA: splitting (3) gives:
% 197.17/34.04  | 
% 197.17/34.04  | Case 1:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (10)  all_54_3 = e3
% 197.17/34.04  | | 
% 197.17/34.04  | | COMBINE_EQS: (5), (10) imply:
% 197.17/34.04  | |   (11)  all_28_0 = e3
% 197.17/34.04  | | 
% 197.17/34.04  | | REDUCE: (6), (11) imply:
% 197.17/34.04  | |   (12)  $false
% 197.17/34.04  | | 
% 197.17/34.04  | | CLOSE: (12) is inconsistent.
% 197.17/34.04  | | 
% 197.17/34.04  | Case 2:
% 197.17/34.04  | | 
% 197.17/34.04  | |   (13)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.17/34.04  | | 
% 197.17/34.04  | | BETA: splitting (13) gives:
% 197.17/34.04  | | 
% 197.17/34.04  | | Case 1:
% 197.17/34.04  | | | 
% 197.17/34.04  | | |   (14)  all_54_3 = e2
% 197.17/34.04  | | | 
% 197.17/34.04  | | | COMBINE_EQS: (5), (14) imply:
% 197.17/34.04  | | |   (15)  all_28_0 = e2
% 197.17/34.04  | | | 
% 197.17/34.04  | | | REDUCE: (7), (15) imply:
% 197.17/34.04  | | |   (16)  $false
% 197.17/34.04  | | | 
% 197.17/34.04  | | | CLOSE: (16) is inconsistent.
% 197.17/34.04  | | | 
% 197.17/34.04  | | Case 2:
% 197.17/34.04  | | | 
% 197.17/34.04  | | |   (17)  all_54_3 = e1 | all_54_3 = e0
% 197.17/34.04  | | | 
% 197.17/34.04  | | | BETA: splitting (17) gives:
% 197.17/34.04  | | | 
% 197.17/34.04  | | | Case 1:
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | |   (18)  all_54_3 = e1
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | | COMBINE_EQS: (5), (18) imply:
% 197.17/34.04  | | | |   (19)  all_28_0 = e1
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | | REDUCE: (2), (19) imply:
% 197.17/34.04  | | | |   (20)  $false
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | | CLOSE: (20) is inconsistent.
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | Case 2:
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | |   (21)  all_54_3 = e0
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | | COMBINE_EQS: (5), (21) imply:
% 197.17/34.04  | | | |   (22)  all_28_0 = e0
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | | REDUCE: (9), (22) imply:
% 197.17/34.04  | | | |   (23)   ~ (all_52_14 = e0)
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | | REF_CLOSE: (1), (4), (8), (23) are inconsistent by sub-proof #1884.
% 197.17/34.04  | | | | 
% 197.17/34.04  | | | End of split
% 197.17/34.04  | | | 
% 197.17/34.04  | | End of split
% 197.17/34.04  | | 
% 197.17/34.04  | End of split
% 197.17/34.04  | 
% 197.17/34.04  End of proof
% 197.17/34.04  
% 197.17/34.04  Sub-proof #1280 shows that the following formulas are inconsistent:
% 197.17/34.04  ----------------------------------------------------------------
% 197.17/34.04    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.17/34.04         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.17/34.04    (2)   ~ (all_52_4 = e3)
% 197.17/34.04    (3)  op(e0, e0) = all_14_2
% 197.17/34.04    (4)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.17/34.04    (5)   ~ (all_14_2 = e1)
% 197.17/34.04    (6)  all_54_3 = all_52_12
% 197.17/34.04    (7)  all_54_6 = all_52_9
% 197.17/34.04    (8)   ~ (all_52_1 = all_52_9)
% 197.17/34.04    (9)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.04         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.04    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.17/34.04          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.17/34.04    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.04            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.04    (12)  all_56_13 = e3
% 197.17/34.04    (13)  op(e3, e2) = all_52_4
% 197.17/34.04    (14)  op(e2, e2) = all_4_2
% 197.17/34.04    (15)  op(e2, e0) = e3
% 197.17/34.04    (16)   ~ (all_52_9 = e0)
% 197.17/34.04    (17)  op(e2, e0) = all_36_1
% 197.17/34.04    (18)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.17/34.04          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.17/34.04    (19)   ~ (all_52_9 = e3)
% 197.17/34.04    (20)   ~ (all_52_4 = e0)
% 197.17/34.04    (21)   ~ (all_52_8 = e3)
% 197.17/34.04    (22)  op(e0, e3) = all_52_3
% 197.17/34.04    (23)  op(e1, e0) = all_52_14
% 197.17/34.04    (24)   ~ (all_52_4 = all_52_12)
% 197.17/34.04    (25)   ~ (all_36_0 = e1)
% 197.17/34.04    (26)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.17/34.04              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.17/34.04            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.17/34.04            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.17/34.04            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.17/34.04            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.17/34.04            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.17/34.04            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.17/34.04            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.17/34.04            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.17/34.04            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.17/34.04            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.17/34.04            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.17/34.04            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.17/34.04            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.17/34.04            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.17/34.04            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.17/34.04            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.17/34.04            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.17/34.04            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.17/34.04            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.17/34.04            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.17/34.04            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.17/34.04            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.17/34.04            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.17/34.04            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.17/34.04            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.17/34.04            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.17/34.04            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.04            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.17/34.04            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.17/34.04            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.17/34.04            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.17/34.04            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.17/34.04            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.04            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.17/34.04            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.17/34.04            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.17/34.04            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.17/34.04            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.17/34.04            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.17/34.04            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.17/34.04            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.17/34.04            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.17/34.04            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.17/34.04            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.17/34.04            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.17/34.04            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.17/34.04              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.17/34.04            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.17/34.04            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.17/34.04              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.17/34.04            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.17/34.04            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.17/34.04                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.17/34.04                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.04                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.17/34.04                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.17/34.04                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.17/34.04                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.17/34.04                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.17/34.04              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.17/34.04                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.17/34.04                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.17/34.04                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.17/34.04                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.17/34.04                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.17/34.04                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.17/34.04                $i(all_57_7))))
% 197.17/34.04    (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.17/34.04          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.17/34.04    (28)   ~ (all_52_12 = all_52_14)
% 197.17/34.04    (29)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.17/34.04    (30)   ~ (all_52_12 = e0)
% 197.17/34.04    (31)  all_56_6 = e0
% 197.17/34.04    (32)  all_56_10 = e3
% 197.17/34.04    (33)  op(e0, e1) = all_52_11
% 197.17/34.04    (34)  op(e3, e3) = e3
% 197.17/34.04    (35)   ~ (all_52_12 = e3)
% 197.17/34.04    (36)   ~ (all_14_2 = e3)
% 197.17/34.04    (37)   ~ (all_4_2 = e3)
% 197.17/34.04    (38)  all_54_15 = all_14_2
% 197.17/34.04    (39)   ~ (e1 = e0)
% 197.17/34.04    (40)   ~ (all_52_11 = e3)
% 197.17/34.04    (41)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.17/34.04          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.17/34.04    (42)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.17/34.04    (43)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.04          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.17/34.04    (44)  all_54_14 = all_52_11
% 197.17/34.04    (45)   ~ (all_52_11 = e0)
% 197.17/34.04    (46)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.17/34.04    (47)   ~ (all_52_3 = e0)
% 197.17/34.04    (48)  op(e3, e0) = all_52_12
% 197.17/34.05    (49)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 & op(e1, e3) =
% 197.17/34.05            all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1,
% 197.17/34.05              e3) = all_30_1 & $i(all_30_1))
% 197.17/34.05    (50)  op(e1, e3) = all_20_1
% 197.17/34.05    (51)  op(e0, e0) = e0
% 197.17/34.05    (52)  all_56_4 = e0
% 197.17/34.05    (53)  op(e3, e1) = all_52_8
% 197.17/34.05    (54)  op(e2, e2) = e0
% 197.17/34.05    (55)   ~ (e3 = e1)
% 197.17/34.05    (56)  all_54_1 = all_52_4
% 197.17/34.05    (57)  all_54_15 = e1 | all_54_15 = e0
% 197.17/34.05    (58)  op(e2, e3) = all_52_1
% 197.17/34.05    (59)  op(all_36_1, e2) = all_36_0
% 197.17/34.05    (60)   ~ (e3 = e0)
% 197.17/34.05    (61)  op(e1, e3) = e0
% 197.17/34.05    (62)   ~ (all_52_3 = all_52_11)
% 197.17/34.05    (63)   ~ (all_52_9 = all_52_11)
% 197.17/34.05  
% 197.17/34.05  Begin of proof
% 197.17/34.05  | 
% 197.17/34.05  | BETA: splitting (49) gives:
% 197.17/34.05  | 
% 197.17/34.05  | Case 1:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (64)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 & op(e1, e3) =
% 197.17/34.05  | |         all_30_1 & $i(all_30_0) & $i(all_30_1)
% 197.17/34.05  | | 
% 197.17/34.05  | | ALPHA: (64) implies:
% 197.17/34.05  | |   (65)   ~ (all_30_0 = e2)
% 197.17/34.05  | |   (66)  op(e1, e3) = all_30_1
% 197.17/34.05  | |   (67)  op(all_30_1, e1) = all_30_0
% 197.17/34.05  | | 
% 197.17/34.05  | | GROUND_INST: instantiating (11) with e0, all_30_1, e3, e1, simplifying with
% 197.17/34.05  | |              (61), (66) gives:
% 197.17/34.05  | |   (68)  all_30_1 = e0
% 197.17/34.05  | | 
% 197.17/34.05  | | GROUND_INST: instantiating (11) with e3, all_36_1, e0, e2, simplifying with
% 197.17/34.05  | |              (15), (17) gives:
% 197.17/34.05  | |   (69)  all_36_1 = e3
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (59), (69) imply:
% 197.17/34.05  | |   (70)  op(e3, e2) = all_36_0
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (67), (68) imply:
% 197.17/34.05  | |   (71)  op(e0, e1) = all_30_0
% 197.17/34.05  | | 
% 197.17/34.05  | | GROUND_INST: instantiating (11) with all_52_11, all_30_0, e1, e0,
% 197.17/34.05  | |              simplifying with (33), (71) gives:
% 197.17/34.05  | |   (72)  all_52_11 = all_30_0
% 197.17/34.05  | | 
% 197.17/34.05  | | GROUND_INST: instantiating (11) with all_52_4, all_36_0, e2, e3, simplifying
% 197.17/34.05  | |              with (13), (70) gives:
% 197.17/34.05  | |   (73)  all_52_4 = all_36_0
% 197.17/34.05  | | 
% 197.17/34.05  | | COMBINE_EQS: (44), (72) imply:
% 197.17/34.05  | |   (74)  all_54_14 = all_30_0
% 197.17/34.05  | | 
% 197.17/34.05  | | COMBINE_EQS: (56), (73) imply:
% 197.17/34.05  | |   (75)  all_54_1 = all_36_0
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (62), (72) imply:
% 197.17/34.05  | |   (76)   ~ (all_52_3 = all_30_0)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (24), (73) imply:
% 197.17/34.05  | |   (77)   ~ (all_52_12 = all_36_0)
% 197.17/34.05  | | 
% 197.17/34.05  | | SIMP: (77) implies:
% 197.17/34.05  | |   (78)   ~ (all_52_12 = all_36_0)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (2), (73) imply:
% 197.17/34.05  | |   (79)   ~ (all_36_0 = e3)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (20), (73) imply:
% 197.17/34.05  | |   (80)   ~ (all_36_0 = e0)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (63), (72) imply:
% 197.17/34.05  | |   (81)   ~ (all_52_9 = all_30_0)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (40), (72) imply:
% 197.17/34.05  | |   (82)   ~ (all_30_0 = e3)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (45), (72) imply:
% 197.17/34.05  | |   (83)   ~ (all_30_0 = e0)
% 197.17/34.05  | | 
% 197.17/34.05  | | BETA: splitting (42) gives:
% 197.17/34.05  | | 
% 197.17/34.05  | | Case 1:
% 197.17/34.05  | | | 
% 197.17/34.05  | | |   (84)  all_54_14 = e3
% 197.17/34.05  | | | 
% 197.17/34.05  | | | REF_CLOSE: (74), (82), (84) are inconsistent by sub-proof #1306.
% 197.17/34.05  | | | 
% 197.17/34.05  | | Case 2:
% 197.17/34.05  | | | 
% 197.17/34.05  | | |   (85)   ~ (all_54_14 = e3)
% 197.17/34.05  | | |   (86)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.17/34.05  | | | 
% 197.17/34.05  | | | BETA: splitting (46) gives:
% 197.17/34.05  | | | 
% 197.17/34.05  | | | Case 1:
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | |   (87)  all_54_1 = e3
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | COMBINE_EQS: (75), (87) imply:
% 197.17/34.05  | | | |   (88)  all_36_0 = e3
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | REDUCE: (79), (88) imply:
% 197.17/34.05  | | | |   (89)  $false
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | CLOSE: (89) is inconsistent.
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | Case 2:
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | |   (90)   ~ (all_54_1 = e3)
% 197.17/34.05  | | | |   (91)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | BETA: splitting (91) gives:
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | Case 1:
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | |   (92)  all_54_1 = e2
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | COMBINE_EQS: (75), (92) imply:
% 197.17/34.05  | | | | |   (93)  all_36_0 = e2
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | SIMP: (93) implies:
% 197.17/34.05  | | | | |   (94)  all_36_0 = e2
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | REDUCE: (78), (94) imply:
% 197.17/34.05  | | | | |   (95)   ~ (all_52_12 = e2)
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | REDUCE: (79), (94) imply:
% 197.17/34.05  | | | | |   (96)   ~ (e3 = e2)
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | SIMP: (96) implies:
% 197.17/34.05  | | | | |   (97)   ~ (e3 = e2)
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | REDUCE: (25), (94) imply:
% 197.17/34.05  | | | | |   (98)   ~ (e2 = e1)
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | REDUCE: (80), (94) imply:
% 197.17/34.05  | | | | |   (99)   ~ (e2 = e0)
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 197.17/34.05  | | | | |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (26),
% 197.17/34.05  | | | | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 197.17/34.05  | | | | |            (37), (38), (39), (41), (43), (47), (48), (51), (52), (53),
% 197.17/34.05  | | | | |            (54), (55), (57), (58), (60), (63), (65), (71), (74), (76),
% 197.17/34.05  | | | | |            (81), (82), (83), (86), (95), (97), (98), (99) are
% 197.17/34.05  | | | | |            inconsistent by sub-proof #1289.
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | Case 2:
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | |   (100)  all_54_1 = e1 | all_54_1 = e0
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | REF_CLOSE: (25), (75), (80), (100) are inconsistent by sub-proof
% 197.17/34.05  | | | | |            #1281.
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | End of split
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | End of split
% 197.17/34.05  | | | 
% 197.17/34.05  | | End of split
% 197.17/34.05  | | 
% 197.17/34.05  | Case 2:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (101)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 & $i(all_30_1)
% 197.17/34.05  | | 
% 197.17/34.05  | | ALPHA: (101) implies:
% 197.17/34.05  | |   (102)   ~ (all_30_1 = e0)
% 197.17/34.05  | |   (103)  op(e1, e3) = all_30_1
% 197.17/34.05  | | 
% 197.17/34.05  | | REF_CLOSE: (11), (50), (61), (102), (103) are inconsistent by sub-proof
% 197.17/34.05  | |            #1288.
% 197.17/34.05  | | 
% 197.17/34.05  | End of split
% 197.17/34.05  | 
% 197.17/34.05  End of proof
% 197.17/34.05  
% 197.17/34.05  Sub-proof #1281 shows that the following formulas are inconsistent:
% 197.17/34.05  ----------------------------------------------------------------
% 197.17/34.05    (1)  all_54_1 = e1 | all_54_1 = e0
% 197.17/34.05    (2)  all_54_1 = all_36_0
% 197.17/34.05    (3)   ~ (all_36_0 = e1)
% 197.17/34.05    (4)   ~ (all_36_0 = e0)
% 197.17/34.05  
% 197.17/34.05  Begin of proof
% 197.17/34.05  | 
% 197.17/34.05  | BETA: splitting (1) gives:
% 197.17/34.05  | 
% 197.17/34.05  | Case 1:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (5)  all_54_1 = e1
% 197.17/34.05  | | 
% 197.17/34.05  | | COMBINE_EQS: (2), (5) imply:
% 197.17/34.05  | |   (6)  all_36_0 = e1
% 197.17/34.05  | | 
% 197.17/34.05  | | SIMP: (6) implies:
% 197.17/34.05  | |   (7)  all_36_0 = e1
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (3), (7) imply:
% 197.17/34.05  | |   (8)  $false
% 197.17/34.05  | | 
% 197.17/34.05  | | CLOSE: (8) is inconsistent.
% 197.17/34.05  | | 
% 197.17/34.05  | Case 2:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (9)  all_54_1 = e0
% 197.17/34.05  | | 
% 197.17/34.05  | | COMBINE_EQS: (2), (9) imply:
% 197.17/34.05  | |   (10)  all_36_0 = e0
% 197.17/34.05  | | 
% 197.17/34.05  | | SIMP: (10) implies:
% 197.17/34.05  | |   (11)  all_36_0 = e0
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (4), (11) imply:
% 197.17/34.05  | |   (12)  $false
% 197.17/34.05  | | 
% 197.17/34.05  | | CLOSE: (12) is inconsistent.
% 197.17/34.05  | | 
% 197.17/34.05  | End of split
% 197.17/34.05  | 
% 197.17/34.05  End of proof
% 197.17/34.05  
% 197.17/34.05  Sub-proof #1282 shows that the following formulas are inconsistent:
% 197.17/34.05  ----------------------------------------------------------------
% 197.17/34.05    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.17/34.05         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.17/34.05    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.05         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.05    (3)   ~ (e3 = e2)
% 197.17/34.05    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.05    (5)  all_56_13 = e3
% 197.17/34.05    (6)  op(e2, e2) = all_4_2
% 197.17/34.05    (7)  all_56_7 = e0
% 197.17/34.05    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.17/34.05         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.17/34.05    (9)   ~ (all_4_2 = e3)
% 197.17/34.05    (10)   ~ (e1 = e0)
% 197.17/34.05    (11)   ~ (e2 = e1)
% 197.17/34.05    (12)  op(e2, e2) = e0
% 197.17/34.05    (13)   ~ (e3 = e1)
% 197.17/34.05    (14)   ~ (e2 = e0)
% 197.17/34.05    (15)   ~ (e3 = e0)
% 197.17/34.05  
% 197.17/34.05  Begin of proof
% 197.17/34.05  | 
% 197.17/34.05  | BETA: splitting (1) gives:
% 197.17/34.05  | 
% 197.17/34.05  | Case 1:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (16)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.17/34.05  | |           e1)
% 197.17/34.05  | | 
% 197.17/34.05  | | BETA: splitting (16) gives:
% 197.17/34.05  | | 
% 197.17/34.05  | | Case 1:
% 197.17/34.05  | | | 
% 197.17/34.05  | | |   (17)  all_56_1 = e1 & op(e3, e2) = e1
% 197.17/34.05  | | | 
% 197.17/34.05  | | | ALPHA: (17) implies:
% 197.17/34.05  | | |   (18)  all_56_1 = e1
% 197.17/34.05  | | | 
% 197.17/34.05  | | | REF_CLOSE: (2), (3), (4), (5), (7), (11), (12), (14), (18) are
% 197.17/34.05  | | |            inconsistent by sub-proof #1284.
% 197.17/34.05  | | | 
% 197.17/34.05  | | Case 2:
% 197.17/34.05  | | | 
% 197.17/34.05  | | |   (19)  all_56_3 = e1 & op(e2, e2) = e1
% 197.17/34.05  | | | 
% 197.17/34.05  | | | ALPHA: (19) implies:
% 197.17/34.05  | | |   (20)  op(e2, e2) = e1
% 197.17/34.05  | | | 
% 197.17/34.05  | | | REF_CLOSE: (4), (10), (12), (20) are inconsistent by sub-proof #1909.
% 197.17/34.05  | | | 
% 197.17/34.05  | | End of split
% 197.17/34.05  | | 
% 197.17/34.05  | Case 2:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (21)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.17/34.05  | |           e1)
% 197.17/34.05  | | 
% 197.17/34.05  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 197.17/34.05  | |            (15), (21) are inconsistent by sub-proof #1283.
% 197.17/34.05  | | 
% 197.17/34.05  | End of split
% 197.17/34.05  | 
% 197.17/34.05  End of proof
% 197.17/34.05  
% 197.17/34.05  Sub-proof #1283 shows that the following formulas are inconsistent:
% 197.17/34.05  ----------------------------------------------------------------
% 197.17/34.05    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.05         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.05    (2)   ~ (e3 = e2)
% 197.17/34.05    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.05    (4)  op(e2, e2) = all_4_2
% 197.17/34.05    (5)  all_56_7 = e0
% 197.17/34.05    (6)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.17/34.05    (7)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.17/34.05         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.17/34.05    (8)   ~ (all_4_2 = e3)
% 197.17/34.05    (9)   ~ (e1 = e0)
% 197.17/34.05    (10)   ~ (e2 = e1)
% 197.17/34.05    (11)  op(e2, e2) = e0
% 197.17/34.05    (12)   ~ (e3 = e1)
% 197.17/34.05    (13)   ~ (e2 = e0)
% 197.17/34.05    (14)   ~ (e3 = e0)
% 197.17/34.05  
% 197.17/34.05  Begin of proof
% 197.17/34.05  | 
% 197.17/34.05  | BETA: splitting (6) gives:
% 197.17/34.05  | 
% 197.17/34.05  | Case 1:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (15)  all_56_7 = e1 & op(e1, e2) = e1
% 197.17/34.05  | | 
% 197.17/34.05  | | ALPHA: (15) implies:
% 197.17/34.05  | |   (16)  all_56_7 = e1
% 197.17/34.05  | | 
% 197.17/34.05  | | REF_CLOSE: (5), (9), (16) are inconsistent by sub-proof #1522.
% 197.17/34.05  | | 
% 197.17/34.05  | Case 2:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (17)  all_56_13 = e1 & op(e0, e2) = e1
% 197.17/34.05  | | 
% 197.17/34.05  | | ALPHA: (17) implies:
% 197.17/34.05  | |   (18)  all_56_13 = e1
% 197.17/34.05  | | 
% 197.17/34.05  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (11), (12), (13), (14),
% 197.17/34.05  | |            (18) are inconsistent by sub-proof #1796.
% 197.17/34.05  | | 
% 197.17/34.05  | End of split
% 197.17/34.05  | 
% 197.17/34.05  End of proof
% 197.17/34.05  
% 197.17/34.05  Sub-proof #1284 shows that the following formulas are inconsistent:
% 197.17/34.05  ----------------------------------------------------------------
% 197.17/34.05    (1)  all_56_1 = e1
% 197.17/34.05    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.05         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.05    (3)   ~ (e3 = e2)
% 197.17/34.05    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.05    (5)  all_56_13 = e3
% 197.17/34.05    (6)  all_56_7 = e0
% 197.17/34.05    (7)   ~ (e2 = e1)
% 197.17/34.05    (8)  op(e2, e2) = e0
% 197.17/34.05    (9)   ~ (e2 = e0)
% 197.17/34.05  
% 197.17/34.05  Begin of proof
% 197.17/34.05  | 
% 197.17/34.05  | BETA: splitting (2) gives:
% 197.17/34.05  | 
% 197.17/34.05  | Case 1:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.17/34.05  | |           e2)
% 197.17/34.05  | | 
% 197.17/34.05  | | REF_CLOSE: (1), (4), (7), (8), (9), (10) are inconsistent by sub-proof
% 197.17/34.05  | |            #1286.
% 197.17/34.05  | | 
% 197.17/34.05  | Case 2:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (11)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 197.17/34.05  | |           e2)
% 197.17/34.05  | | 
% 197.17/34.05  | | REF_CLOSE: (3), (5), (6), (9), (11) are inconsistent by sub-proof #1285.
% 197.17/34.05  | | 
% 197.17/34.05  | End of split
% 197.17/34.05  | 
% 197.17/34.05  End of proof
% 197.17/34.05  
% 197.17/34.05  Sub-proof #1285 shows that the following formulas are inconsistent:
% 197.17/34.05  ----------------------------------------------------------------
% 197.17/34.05    (1)   ~ (e3 = e2)
% 197.17/34.05    (2)  all_56_13 = e3
% 197.17/34.05    (3)  all_56_7 = e0
% 197.17/34.05    (4)   ~ (e2 = e0)
% 197.17/34.05    (5)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.05  
% 197.17/34.05  Begin of proof
% 197.17/34.05  | 
% 197.17/34.05  | BETA: splitting (5) gives:
% 197.17/34.05  | 
% 197.17/34.05  | Case 1:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (6)  all_56_7 = e2 & op(e1, e2) = e2
% 197.17/34.05  | | 
% 197.17/34.05  | | ALPHA: (6) implies:
% 197.17/34.05  | |   (7)  all_56_7 = e2
% 197.17/34.05  | | 
% 197.17/34.05  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #1868.
% 197.17/34.05  | | 
% 197.17/34.05  | Case 2:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (8)  all_56_13 = e2 & op(e0, e2) = e2
% 197.17/34.05  | | 
% 197.17/34.05  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #1905.
% 197.17/34.05  | | 
% 197.17/34.05  | End of split
% 197.17/34.05  | 
% 197.17/34.05  End of proof
% 197.17/34.05  
% 197.17/34.05  Sub-proof #1286 shows that the following formulas are inconsistent:
% 197.17/34.05  ----------------------------------------------------------------
% 197.17/34.05    (1)  all_56_1 = e1
% 197.17/34.05    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 197.17/34.05    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.05    (4)   ~ (e2 = e1)
% 197.17/34.05    (5)  op(e2, e2) = e0
% 197.17/34.05    (6)   ~ (e2 = e0)
% 197.17/34.05  
% 197.17/34.05  Begin of proof
% 197.17/34.05  | 
% 197.17/34.05  | BETA: splitting (2) gives:
% 197.17/34.05  | 
% 197.17/34.05  | Case 1:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 197.17/34.05  | | 
% 197.17/34.05  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #1503.
% 197.17/34.05  | | 
% 197.17/34.05  | Case 2:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 197.17/34.05  | | 
% 197.17/34.05  | | ALPHA: (8) implies:
% 197.17/34.05  | |   (9)  op(e2, e2) = e2
% 197.17/34.05  | | 
% 197.17/34.05  | | REF_CLOSE: (3), (5), (6), (9) are inconsistent by sub-proof #1939.
% 197.17/34.05  | | 
% 197.17/34.05  | End of split
% 197.17/34.05  | 
% 197.17/34.05  End of proof
% 197.17/34.05  
% 197.17/34.05  Sub-proof #1287 shows that the following formulas are inconsistent:
% 197.17/34.05  ----------------------------------------------------------------
% 197.17/34.05    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.17/34.05         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.17/34.05    (2)   ~ (all_52_4 = e3)
% 197.17/34.05    (3)  op(e0, e0) = all_14_2
% 197.17/34.05    (4)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.17/34.05    (5)   ~ (all_14_2 = e1)
% 197.17/34.05    (6)  all_54_3 = all_52_12
% 197.17/34.05    (7)  all_54_6 = all_52_9
% 197.17/34.05    (8)   ~ (all_52_1 = all_52_9)
% 197.17/34.05    (9)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.05         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.05    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.17/34.05          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.17/34.05    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.05            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.05    (12)  all_56_13 = e3
% 197.17/34.05    (13)  op(e3, e2) = all_52_4
% 197.17/34.05    (14)  op(e2, e2) = all_4_2
% 197.17/34.05    (15)  op(e2, e0) = e3
% 197.17/34.05    (16)   ~ (all_52_9 = e0)
% 197.17/34.05    (17)  op(e2, e0) = all_36_1
% 197.17/34.05    (18)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.17/34.05          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.17/34.05    (19)   ~ (all_52_9 = e3)
% 197.17/34.05    (20)   ~ (all_52_4 = e0)
% 197.17/34.05    (21)   ~ (all_52_8 = e3)
% 197.17/34.05    (22)  op(e0, e3) = all_52_3
% 197.17/34.05    (23)  op(e1, e0) = all_52_14
% 197.17/34.05    (24)   ~ (all_52_4 = all_52_12)
% 197.17/34.05    (25)   ~ (all_36_0 = e1)
% 197.17/34.05    (26)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.17/34.05              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.17/34.05            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.17/34.05            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.17/34.05            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.17/34.05            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.17/34.05            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.17/34.05            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.17/34.05            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.17/34.05            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.17/34.05            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.17/34.05            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.17/34.05            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.17/34.05            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.17/34.05            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.17/34.05            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.17/34.05            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.17/34.05            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.17/34.05            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.17/34.05            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.17/34.05            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.17/34.05            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.17/34.05            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.17/34.05            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.17/34.05            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.17/34.05            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.17/34.05            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.17/34.05            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.17/34.05            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.05            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.17/34.05            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.17/34.05            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.17/34.05            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.17/34.05            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.17/34.05            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.05            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.17/34.05            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.17/34.05            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.17/34.05            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.17/34.05            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.17/34.05            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.17/34.05            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.17/34.05            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.17/34.05            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.17/34.05            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.17/34.05            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.17/34.05            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.17/34.05            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.17/34.05              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.17/34.05            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.17/34.05            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.17/34.05              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.17/34.05            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.17/34.05            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.17/34.05                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.17/34.05                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.05                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.17/34.05                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.17/34.05                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.17/34.05                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.17/34.05                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.17/34.05              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.17/34.05                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.17/34.05                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.17/34.05                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.17/34.05                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.17/34.05                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.17/34.05                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.17/34.05                $i(all_57_7))))
% 197.17/34.05    (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.17/34.05          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.17/34.05    (28)   ~ (all_52_12 = all_52_14)
% 197.17/34.05    (29)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.17/34.05    (30)   ~ (all_52_12 = e0)
% 197.17/34.05    (31)  all_56_6 = e0
% 197.17/34.05    (32)  all_56_10 = e3
% 197.17/34.05    (33)  op(e0, e1) = all_52_11
% 197.17/34.05    (34)  op(e3, e3) = e3
% 197.17/34.05    (35)   ~ (all_52_12 = e3)
% 197.17/34.05    (36)   ~ (all_14_2 = e3)
% 197.17/34.05    (37)   ~ (all_4_2 = e3)
% 197.17/34.05    (38)  all_54_15 = all_14_2
% 197.17/34.05    (39)   ~ (e1 = e0)
% 197.17/34.05    (40)   ~ (all_52_11 = e3)
% 197.17/34.05    (41)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.17/34.05          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.17/34.05    (42)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.17/34.05    (43)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.05          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.17/34.05    (44)  all_54_14 = all_52_11
% 197.17/34.05    (45)   ~ (all_52_11 = e0)
% 197.17/34.05    (46)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.17/34.05    (47)   ~ (all_52_3 = e0)
% 197.17/34.05    (48)  op(e3, e0) = all_52_12
% 197.17/34.05    (49)  ( ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 & op(e1, e3) =
% 197.17/34.05            all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 = e0) & op(e1,
% 197.17/34.05              e3) = all_30_1 & $i(all_30_1))
% 197.17/34.05    (50)  op(e1, e3) = all_20_1
% 197.17/34.05    (51)  op(e0, e0) = e0
% 197.17/34.05    (52)  all_56_4 = e0
% 197.17/34.05    (53)  op(e3, e2) = all_32_0
% 197.17/34.05    (54)  op(e3, e1) = all_52_8
% 197.17/34.05    (55)  op(e2, e2) = e0
% 197.17/34.05    (56)   ~ (e3 = e1)
% 197.17/34.05    (57)  all_54_1 = all_52_4
% 197.17/34.05    (58)  all_54_15 = e1 | all_54_15 = e0
% 197.17/34.05    (59)  op(e2, e3) = all_52_1
% 197.17/34.05    (60)  op(all_36_1, e2) = all_36_0
% 197.17/34.05    (61)   ~ (e3 = e0)
% 197.17/34.05    (62)  op(e1, e3) = e0
% 197.17/34.05    (63)   ~ (all_52_3 = all_52_11)
% 197.17/34.05    (64)   ~ (all_52_9 = all_52_11)
% 197.17/34.05  
% 197.17/34.05  Begin of proof
% 197.17/34.05  | 
% 197.17/34.05  | BETA: splitting (49) gives:
% 197.17/34.05  | 
% 197.17/34.05  | Case 1:
% 197.17/34.05  | | 
% 197.17/34.05  | |   (65)   ~ (all_30_0 = e2) & op(all_30_1, e1) = all_30_0 & op(e1, e3) =
% 197.17/34.05  | |         all_30_1 & $i(all_30_0) & $i(all_30_1)
% 197.17/34.05  | | 
% 197.17/34.05  | | ALPHA: (65) implies:
% 197.17/34.05  | |   (66)   ~ (all_30_0 = e2)
% 197.17/34.05  | |   (67)  op(e1, e3) = all_30_1
% 197.17/34.05  | |   (68)  op(all_30_1, e1) = all_30_0
% 197.17/34.05  | | 
% 197.17/34.05  | | GROUND_INST: instantiating (11) with e0, all_30_1, e3, e1, simplifying with
% 197.17/34.05  | |              (62), (67) gives:
% 197.17/34.05  | |   (69)  all_30_1 = e0
% 197.17/34.05  | | 
% 197.17/34.05  | | GROUND_INST: instantiating (11) with e3, all_36_1, e0, e2, simplifying with
% 197.17/34.05  | |              (15), (17) gives:
% 197.17/34.05  | |   (70)  all_36_1 = e3
% 197.17/34.05  | | 
% 197.17/34.05  | | GROUND_INST: instantiating (11) with all_52_4, all_32_0, e2, e3, simplifying
% 197.17/34.05  | |              with (13), (53) gives:
% 197.17/34.05  | |   (71)  all_52_4 = all_32_0
% 197.17/34.05  | | 
% 197.17/34.05  | | COMBINE_EQS: (57), (71) imply:
% 197.17/34.05  | |   (72)  all_54_1 = all_32_0
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (24), (71) imply:
% 197.17/34.05  | |   (73)   ~ (all_52_12 = all_32_0)
% 197.17/34.05  | | 
% 197.17/34.05  | | SIMP: (73) implies:
% 197.17/34.05  | |   (74)   ~ (all_52_12 = all_32_0)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (2), (71) imply:
% 197.17/34.05  | |   (75)   ~ (all_32_0 = e3)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (20), (71) imply:
% 197.17/34.05  | |   (76)   ~ (all_32_0 = e0)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (60), (70) imply:
% 197.17/34.05  | |   (77)  op(e3, e2) = all_36_0
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (68), (69) imply:
% 197.17/34.05  | |   (78)  op(e0, e1) = all_30_0
% 197.17/34.05  | | 
% 197.17/34.05  | | GROUND_INST: instantiating (11) with all_52_11, all_30_0, e1, e0,
% 197.17/34.05  | |              simplifying with (33), (78) gives:
% 197.17/34.05  | |   (79)  all_52_11 = all_30_0
% 197.17/34.05  | | 
% 197.17/34.05  | | GROUND_INST: instantiating (11) with all_32_0, all_36_0, e2, e3, simplifying
% 197.17/34.05  | |              with (53), (77) gives:
% 197.17/34.05  | |   (80)  all_36_0 = all_32_0
% 197.17/34.05  | | 
% 197.17/34.05  | | COMBINE_EQS: (44), (79) imply:
% 197.17/34.05  | |   (81)  all_54_14 = all_30_0
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (63), (79) imply:
% 197.17/34.05  | |   (82)   ~ (all_52_3 = all_30_0)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (64), (79) imply:
% 197.17/34.05  | |   (83)   ~ (all_52_9 = all_30_0)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (40), (79) imply:
% 197.17/34.05  | |   (84)   ~ (all_30_0 = e3)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (45), (79) imply:
% 197.17/34.05  | |   (85)   ~ (all_30_0 = e0)
% 197.17/34.05  | | 
% 197.17/34.05  | | REDUCE: (25), (80) imply:
% 197.17/34.05  | |   (86)   ~ (all_32_0 = e1)
% 197.17/34.05  | | 
% 197.17/34.05  | | BETA: splitting (42) gives:
% 197.17/34.05  | | 
% 197.17/34.05  | | Case 1:
% 197.17/34.05  | | | 
% 197.17/34.05  | | |   (87)  all_54_14 = e3
% 197.17/34.05  | | | 
% 197.17/34.05  | | | REF_CLOSE: (81), (84), (87) are inconsistent by sub-proof #1306.
% 197.17/34.05  | | | 
% 197.17/34.05  | | Case 2:
% 197.17/34.05  | | | 
% 197.17/34.05  | | |   (88)   ~ (all_54_14 = e3)
% 197.17/34.05  | | |   (89)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.17/34.05  | | | 
% 197.17/34.05  | | | BETA: splitting (46) gives:
% 197.17/34.05  | | | 
% 197.17/34.05  | | | Case 1:
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | |   (90)  all_54_1 = e3
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | COMBINE_EQS: (72), (90) imply:
% 197.17/34.05  | | | |   (91)  all_32_0 = e3
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | SIMP: (91) implies:
% 197.17/34.05  | | | |   (92)  all_32_0 = e3
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | REDUCE: (75), (92) imply:
% 197.17/34.05  | | | |   (93)  $false
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | CLOSE: (93) is inconsistent.
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | Case 2:
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | |   (94)   ~ (all_54_1 = e3)
% 197.17/34.05  | | | |   (95)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | BETA: splitting (95) gives:
% 197.17/34.05  | | | | 
% 197.17/34.05  | | | | Case 1:
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | |   (96)  all_54_1 = e2
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | COMBINE_EQS: (72), (96) imply:
% 197.17/34.05  | | | | |   (97)  all_32_0 = e2
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | SIMP: (97) implies:
% 197.17/34.05  | | | | |   (98)  all_32_0 = e2
% 197.17/34.05  | | | | | 
% 197.17/34.05  | | | | | REDUCE: (74), (98) imply:
% 197.17/34.06  | | | | |   (99)   ~ (all_52_12 = e2)
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | | REDUCE: (75), (98) imply:
% 197.17/34.06  | | | | |   (100)   ~ (e3 = e2)
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | | SIMP: (100) implies:
% 197.17/34.06  | | | | |   (101)   ~ (e3 = e2)
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | | REDUCE: (86), (98) imply:
% 197.17/34.06  | | | | |   (102)   ~ (e2 = e1)
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | | REDUCE: (76), (98) imply:
% 197.17/34.06  | | | | |   (103)   ~ (e2 = e0)
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 197.17/34.06  | | | | |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (26),
% 197.17/34.06  | | | | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 197.17/34.06  | | | | |            (37), (38), (39), (41), (43), (47), (48), (51), (52), (54),
% 197.17/34.06  | | | | |            (55), (56), (58), (59), (61), (64), (66), (78), (81), (82),
% 197.17/34.06  | | | | |            (83), (84), (85), (89), (99), (101), (102), (103) are
% 197.17/34.06  | | | | |            inconsistent by sub-proof #1289.
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | Case 2:
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | |   (104)  all_54_1 = e1 | all_54_1 = e0
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | | BETA: splitting (104) gives:
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | | Case 1:
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | |   (105)  all_54_1 = e1
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | COMBINE_EQS: (72), (105) imply:
% 197.17/34.06  | | | | | |   (106)  all_32_0 = e1
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | SIMP: (106) implies:
% 197.17/34.06  | | | | | |   (107)  all_32_0 = e1
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | REDUCE: (86), (107) imply:
% 197.17/34.06  | | | | | |   (108)  $false
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | CLOSE: (108) is inconsistent.
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | Case 2:
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | |   (109)  all_54_1 = e0
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | COMBINE_EQS: (72), (109) imply:
% 197.17/34.06  | | | | | |   (110)  all_32_0 = e0
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | SIMP: (110) implies:
% 197.17/34.06  | | | | | |   (111)  all_32_0 = e0
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | REDUCE: (76), (111) imply:
% 197.17/34.06  | | | | | |   (112)  $false
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | CLOSE: (112) is inconsistent.
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | End of split
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | End of split
% 197.17/34.06  | | | | 
% 197.17/34.06  | | | End of split
% 197.17/34.06  | | | 
% 197.17/34.06  | | End of split
% 197.17/34.06  | | 
% 197.17/34.06  | Case 2:
% 197.17/34.06  | | 
% 197.17/34.06  | |   (113)   ~ (all_30_1 = e0) & op(e1, e3) = all_30_1 & $i(all_30_1)
% 197.17/34.06  | | 
% 197.17/34.06  | | ALPHA: (113) implies:
% 197.17/34.06  | |   (114)   ~ (all_30_1 = e0)
% 197.17/34.06  | |   (115)  op(e1, e3) = all_30_1
% 197.17/34.06  | | 
% 197.17/34.06  | | REF_CLOSE: (11), (50), (62), (114), (115) are inconsistent by sub-proof
% 197.17/34.06  | |            #1288.
% 197.17/34.06  | | 
% 197.17/34.06  | End of split
% 197.17/34.06  | 
% 197.17/34.06  End of proof
% 197.17/34.06  
% 197.17/34.06  Sub-proof #1288 shows that the following formulas are inconsistent:
% 197.17/34.06  ----------------------------------------------------------------
% 197.17/34.06    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.06    (2)  op(e1, e3) = all_30_1
% 197.17/34.06    (3)   ~ (all_30_1 = e0)
% 197.17/34.06    (4)  op(e1, e3) = all_20_1
% 197.17/34.06    (5)  op(e1, e3) = e0
% 197.17/34.06  
% 197.17/34.06  Begin of proof
% 197.17/34.06  | 
% 197.17/34.06  | GROUND_INST: instantiating (1) with all_20_1, all_30_1, e3, e1, simplifying
% 197.17/34.06  |              with (2), (4) gives:
% 197.17/34.06  |   (6)  all_30_1 = all_20_1
% 197.17/34.06  | 
% 197.17/34.06  | GROUND_INST: instantiating (1) with e0, all_30_1, e3, e1, simplifying with
% 197.17/34.06  |              (2), (5) gives:
% 197.17/34.06  |   (7)  all_30_1 = e0
% 197.17/34.06  | 
% 197.17/34.06  | COMBINE_EQS: (6), (7) imply:
% 197.17/34.06  |   (8)  all_20_1 = e0
% 197.17/34.06  | 
% 197.17/34.06  | REDUCE: (3), (7) imply:
% 197.17/34.06  |   (9)  $false
% 197.17/34.06  | 
% 197.17/34.06  | CLOSE: (9) is inconsistent.
% 197.17/34.06  | 
% 197.17/34.06  End of proof
% 197.17/34.06  
% 197.17/34.06  Sub-proof #1289 shows that the following formulas are inconsistent:
% 197.17/34.06  ----------------------------------------------------------------
% 197.17/34.06    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.17/34.06         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.17/34.06    (2)   ~ (all_30_0 = e0)
% 197.17/34.06    (3)  op(e0, e0) = all_14_2
% 197.17/34.06    (4)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.17/34.06    (5)   ~ (all_14_2 = e1)
% 197.17/34.06    (6)  all_54_3 = all_52_12
% 197.17/34.06    (7)  all_54_6 = all_52_9
% 197.17/34.06    (8)   ~ (all_52_1 = all_52_9)
% 197.17/34.06    (9)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.06         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.06    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.17/34.06          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.17/34.06    (11)   ~ (e3 = e2)
% 197.17/34.06    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.06            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.06    (13)  all_56_13 = e3
% 197.17/34.06    (14)  op(e2, e2) = all_4_2
% 197.17/34.06    (15)  op(e2, e0) = e3
% 197.17/34.06    (16)   ~ (all_52_9 = e0)
% 197.17/34.06    (17)  op(e2, e0) = all_36_1
% 197.17/34.06    (18)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.17/34.06          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.17/34.06    (19)   ~ (all_52_9 = e3)
% 197.17/34.06    (20)   ~ (all_52_8 = e3)
% 197.17/34.06    (21)  op(e0, e3) = all_52_3
% 197.17/34.06    (22)   ~ (all_30_0 = e3)
% 197.17/34.06    (23)  op(e1, e0) = all_52_14
% 197.17/34.06    (24)   ~ (all_52_12 = e2)
% 197.17/34.06    (25)  all_54_14 = all_30_0
% 197.17/34.06    (26)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.17/34.06              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.17/34.06            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.17/34.06            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.17/34.06            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.17/34.06            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.17/34.06            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.17/34.06            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.17/34.06            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.17/34.06            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.17/34.06            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.17/34.06            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.17/34.06            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.17/34.06            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.17/34.06            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.17/34.06            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.17/34.06            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.17/34.06            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.17/34.06            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.17/34.06            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.17/34.06            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.17/34.06            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.17/34.06            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.17/34.06            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.17/34.06            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.17/34.06            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.17/34.06            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.17/34.06            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.17/34.06            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.06            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.17/34.06            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.17/34.06            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.17/34.06            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.17/34.06            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.17/34.06            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.06            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.17/34.06            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.17/34.06            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.17/34.06            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.17/34.06            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.17/34.06            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.17/34.06            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.17/34.06            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.17/34.06            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.17/34.06            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.17/34.06            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.17/34.06            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.17/34.06            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.17/34.06              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.17/34.06            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.17/34.06            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.17/34.06              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.17/34.06            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.17/34.06            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.17/34.06                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.17/34.06                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.06                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.17/34.06                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.17/34.06                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.17/34.06                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.17/34.06                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.17/34.06              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.17/34.06                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.17/34.06                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.17/34.06                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.17/34.06                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.17/34.06                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.17/34.06                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.17/34.06                $i(all_57_7))))
% 197.17/34.06    (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.17/34.06          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.17/34.06    (28)   ~ (all_52_12 = all_52_14)
% 197.17/34.06    (29)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.17/34.06    (30)   ~ (all_52_12 = e0)
% 197.17/34.06    (31)  all_56_6 = e0
% 197.17/34.06    (32)  all_56_10 = e3
% 197.17/34.06    (33)  op(e0, e1) = all_52_11
% 197.17/34.06    (34)  op(e3, e3) = e3
% 197.17/34.06    (35)   ~ (all_52_12 = e3)
% 197.17/34.06    (36)   ~ (all_52_9 = all_30_0)
% 197.17/34.06    (37)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.17/34.06    (38)   ~ (all_14_2 = e3)
% 197.17/34.06    (39)   ~ (all_4_2 = e3)
% 197.17/34.06    (40)  all_54_15 = all_14_2
% 197.17/34.06    (41)   ~ (e1 = e0)
% 197.17/34.06    (42)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.17/34.06          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.17/34.06    (43)  op(e0, e1) = all_30_0
% 197.17/34.06    (44)   ~ (e2 = e1)
% 197.17/34.06    (45)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.06          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.17/34.06    (46)   ~ (all_52_3 = e0)
% 197.17/34.06    (47)  op(e3, e0) = all_52_12
% 197.17/34.06    (48)  op(e0, e0) = e0
% 197.17/34.06    (49)  all_56_4 = e0
% 197.17/34.06    (50)   ~ (all_30_0 = e2)
% 197.17/34.06    (51)  op(e3, e1) = all_52_8
% 197.17/34.06    (52)   ~ (all_52_3 = all_30_0)
% 197.17/34.06    (53)  op(e2, e2) = e0
% 197.17/34.06    (54)   ~ (e3 = e1)
% 197.17/34.06    (55)  all_54_15 = e1 | all_54_15 = e0
% 197.17/34.06    (56)   ~ (e2 = e0)
% 197.17/34.06    (57)  op(e2, e3) = all_52_1
% 197.17/34.06    (58)   ~ (e3 = e0)
% 197.17/34.06    (59)   ~ (all_52_9 = all_52_11)
% 197.17/34.06  
% 197.17/34.06  Begin of proof
% 197.17/34.06  | 
% 197.17/34.06  | BETA: splitting (4) gives:
% 197.17/34.06  | 
% 197.17/34.06  | Case 1:
% 197.17/34.06  | | 
% 197.17/34.06  | |   (60)  all_54_3 = e3
% 197.17/34.06  | | 
% 197.17/34.06  | | REF_CLOSE: (6), (35), (60) are inconsistent by sub-proof #1330.
% 197.17/34.06  | | 
% 197.17/34.06  | Case 2:
% 197.17/34.06  | | 
% 197.17/34.06  | |   (61)   ~ (all_54_3 = e3)
% 197.17/34.06  | |   (62)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.17/34.06  | | 
% 197.17/34.06  | | BETA: splitting (27) gives:
% 197.17/34.06  | | 
% 197.17/34.06  | | Case 1:
% 197.17/34.06  | | | 
% 197.17/34.06  | | |   (63)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 197.17/34.06  | | |           e2)
% 197.17/34.06  | | | 
% 197.17/34.06  | | | BETA: splitting (63) gives:
% 197.17/34.06  | | | 
% 197.17/34.06  | | | Case 1:
% 197.17/34.06  | | | | 
% 197.17/34.06  | | | |   (64)  all_56_0 = e2 & op(e3, e3) = e2
% 197.17/34.06  | | | | 
% 197.17/34.06  | | | | ALPHA: (64) implies:
% 197.17/34.06  | | | |   (65)  op(e3, e3) = e2
% 197.17/34.06  | | | | 
% 197.17/34.06  | | | | REF_CLOSE: (11), (12), (34), (65) are inconsistent by sub-proof #1957.
% 197.17/34.06  | | | | 
% 197.17/34.06  | | | Case 2:
% 197.17/34.06  | | | | 
% 197.17/34.06  | | | |   (66)  all_56_1 = e2 & op(e3, e2) = e2
% 197.17/34.06  | | | | 
% 197.17/34.06  | | | | ALPHA: (66) implies:
% 197.17/34.06  | | | |   (67)  all_56_1 = e2
% 197.17/34.06  | | | |   (68)  op(e3, e2) = e2
% 197.17/34.06  | | | | 
% 197.17/34.06  | | | | BETA: splitting (37) gives:
% 197.17/34.06  | | | | 
% 197.17/34.06  | | | | Case 1:
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | |   (69)  all_54_14 = e2
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | | REF_CLOSE: (25), (50), (69) are inconsistent by sub-proof #1305.
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | Case 2:
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | |   (70)   ~ (all_54_14 = e2)
% 197.17/34.06  | | | | |   (71)  all_54_14 = e1 | all_54_14 = e0
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | | BETA: splitting (71) gives:
% 197.17/34.06  | | | | | 
% 197.17/34.06  | | | | | Case 1:
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | |   (72)  all_54_14 = e1
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | COMBINE_EQS: (25), (72) imply:
% 197.17/34.06  | | | | | |   (73)  all_30_0 = e1
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | SIMP: (73) implies:
% 197.17/34.06  | | | | | |   (74)  all_30_0 = e1
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | REDUCE: (52), (74) imply:
% 197.17/34.06  | | | | | |   (75)   ~ (all_52_3 = e1)
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | REDUCE: (22), (74) imply:
% 197.17/34.06  | | | | | |   (76)   ~ (e3 = e1)
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | REDUCE: (50), (74) imply:
% 197.17/34.06  | | | | | |   (77)   ~ (e2 = e1)
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | BETA: splitting (10) gives:
% 197.17/34.06  | | | | | | 
% 197.17/34.06  | | | | | | Case 1:
% 197.17/34.06  | | | | | | | 
% 197.17/34.06  | | | | | | |   (78)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 &
% 197.17/34.06  | | | | | | |           op(e2, e3) = e1)
% 197.17/34.06  | | | | | | | 
% 197.17/34.06  | | | | | | | BETA: splitting (78) gives:
% 197.17/34.06  | | | | | | | 
% 197.17/34.06  | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | 
% 197.17/34.06  | | | | | | | |   (79)  all_56_0 = e1 & op(e3, e3) = e1
% 197.17/34.06  | | | | | | | | 
% 197.17/34.06  | | | | | | | | ALPHA: (79) implies:
% 197.17/34.06  | | | | | | | |   (80)  op(e3, e3) = e1
% 197.17/34.06  | | | | | | | | 
% 197.17/34.06  | | | | | | | | REF_CLOSE: (12), (34), (54), (80) are inconsistent by sub-proof
% 197.17/34.06  | | | | | | | |            #1966.
% 197.17/34.06  | | | | | | | | 
% 197.17/34.06  | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | 
% 197.17/34.06  | | | | | | | |   (81)  all_56_2 = e1 & op(e2, e3) = e1
% 197.17/34.06  | | | | | | | | 
% 197.17/34.06  | | | | | | | | ALPHA: (81) implies:
% 197.17/34.06  | | | | | | | |   (82)  all_56_2 = e1
% 197.17/34.06  | | | | | | | | 
% 197.17/34.06  | | | | | | | | BETA: splitting (45) gives:
% 197.17/34.06  | | | | | | | | 
% 197.17/34.06  | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | 
% 197.17/34.06  | | | | | | | | |   (83)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 &
% 197.17/34.06  | | | | | | | | |           op(e2, e2) = e2)
% 197.17/34.06  | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | BETA: splitting (83) gives:
% 197.17/34.06  | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | |   (84)  all_56_2 = e2 & op(e2, e3) = e2
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | REF_CLOSE: (44), (82), (84) are inconsistent by sub-proof
% 197.17/34.06  | | | | | | | | | |            #1304.
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | |   (85)  all_56_3 = e2 & op(e2, e2) = e2
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | ALPHA: (85) implies:
% 197.17/34.06  | | | | | | | | | |   (86)  op(e2, e2) = e2
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | REF_CLOSE: (12), (53), (56), (86) are inconsistent by
% 197.17/34.06  | | | | | | | | | |            sub-proof #1939.
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | End of split
% 197.17/34.06  | | | | | | | | | 
% 197.17/34.06  | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | 
% 197.17/34.06  | | | | | | | | |   (87)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 &
% 197.17/34.06  | | | | | | | | |           op(e2, e0) = e2)
% 197.17/34.06  | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | BETA: splitting (87) gives:
% 197.17/34.06  | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | |   (88)  all_56_5 = e2 & op(e2, e1) = e2
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | ALPHA: (88) implies:
% 197.17/34.06  | | | | | | | | | |   (89)  all_56_5 = e2
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | BETA: splitting (62) gives:
% 197.17/34.06  | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | |   (90)  all_54_3 = e2
% 197.17/34.06  | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | COMBINE_EQS: (6), (90) imply:
% 197.17/34.06  | | | | | | | | | | |   (91)  all_52_12 = e2
% 197.17/34.06  | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | REDUCE: (24), (91) imply:
% 197.17/34.06  | | | | | | | | | | |   (92)  $false
% 197.17/34.06  | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | CLOSE: (92) is inconsistent.
% 197.17/34.06  | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | |   (93)   ~ (all_54_3 = e2)
% 197.17/34.06  | | | | | | | | | | |   (94)  all_54_3 = e1 | all_54_3 = e0
% 197.17/34.06  | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | BETA: splitting (37) gives:
% 197.17/34.06  | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | |   (95)  all_54_14 = e2
% 197.17/34.06  | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | REF_CLOSE: (25), (50), (95) are inconsistent by sub-proof
% 197.17/34.06  | | | | | | | | | | | |            #1305.
% 197.17/34.06  | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | BETA: splitting (71) gives:
% 197.17/34.06  | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | REDUCE: (36), (74) imply:
% 197.17/34.06  | | | | | | | | | | | | |   (96)   ~ (all_52_9 = e1)
% 197.17/34.06  | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | REDUCE: (43), (74) imply:
% 197.17/34.06  | | | | | | | | | | | | |   (97)  op(e0, e1) = e1
% 197.17/34.06  | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | BETA: splitting (29) gives:
% 197.17/34.06  | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | |   (98)  all_54_6 = e3
% 197.17/34.06  | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | REF_CLOSE: (7), (19), (98) are inconsistent by sub-proof
% 197.17/34.06  | | | | | | | | | | | | | |            #1468.
% 197.17/34.06  | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | |   (99)   ~ (all_54_6 = e3)
% 197.17/34.06  | | | | | | | | | | | | | |   (100)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.17/34.06  | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 197.17/34.06  | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | |   (101)  all_54_6 = e2
% 197.17/34.06  | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | COMBINE_EQS: (7), (101) imply:
% 197.17/34.06  | | | | | | | | | | | | | | |   (102)  all_52_9 = e2
% 197.17/34.06  | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | SIMP: (102) implies:
% 197.17/34.06  | | | | | | | | | | | | | | |   (103)  all_52_9 = e2
% 197.17/34.06  | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | REDUCE: (8), (103) imply:
% 197.17/34.06  | | | | | | | | | | | | | | |   (104)   ~ (all_52_1 = e2)
% 197.17/34.06  | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | REDUCE: (19), (103) imply:
% 197.17/34.06  | | | | | | | | | | | | | | |   (105)   ~ (e3 = e2)
% 197.17/34.06  | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 197.17/34.06  | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | |   (106)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.17/34.06  | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 197.17/34.06  | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 197.17/34.06  | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | |   (107)  all_56_1 = e1 & op(e3, e2) = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | ALPHA: (107) implies:
% 197.17/34.06  | | | | | | | | | | | | | | | | |   (108)  all_56_1 = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (108) imply:
% 197.17/34.06  | | | | | | | | | | | | | | | | |   (109)  e2 = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | COMBINE_EQS: (89), (109) imply:
% 197.17/34.06  | | | | | | | | | | | | | | | | |   (110)  all_56_5 = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (32), (44), (45), (53), (56), (82),
% 197.17/34.06  | | | | | | | | | | | | | | | | |            (110) are inconsistent by sub-proof #1549.
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | |   (111)  all_56_3 = e1 & op(e2, e2) = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | ALPHA: (111) implies:
% 197.17/34.06  | | | | | | | | | | | | | | | | |   (112)  op(e2, e2) = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (53), (112) are inconsistent by
% 197.17/34.06  | | | | | | | | | | | | | | | | |            sub-proof #1909.
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | End of split
% 197.17/34.06  | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | |   (113)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.17/34.06  | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 197.17/34.06  | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 197.17/34.06  | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | |   (114)  all_56_7 = e1 & op(e1, e2) = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | ALPHA: (114) implies:
% 197.17/34.06  | | | | | | | | | | | | | | | | |   (115)  all_56_7 = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | |   (116)  op(e1, e2) = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 197.17/34.06  | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | |   (117)  all_54_3 = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6), (117) imply:
% 197.17/34.06  | | | | | | | | | | | | | | | | | |   (118)  all_52_12 = e1
% 197.17/34.06  | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | REDUCE: (28), (118) imply:
% 197.17/34.06  | | | | | | | | | | | | | | | | | |   (119)   ~ (all_52_14 = e1)
% 197.17/34.06  | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | SIMP: (119) implies:
% 197.17/34.06  | | | | | | | | | | | | | | | | | |   (120)   ~ (all_52_14 = e1)
% 197.17/34.06  | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |   (121)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | BETA: splitting (121) gives:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |   (122)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |   (123)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (57), (104), (123) are inconsistent by
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1784.
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |   (124)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (12), (14), (38), (39), (40), (55),
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            (124) are inconsistent by sub-proof #1314.
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |   (125)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |   (126)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |   (127)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (127) implies:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |   (128)   ~ (all_57_4 = e1)
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |   (129)  op(e1, e2) = all_57_4
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (116), (128), (129) are inconsistent by
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1303.
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |   (130)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (130) implies:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |   (131)  op(e3, e2) = e3
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (68), (131) are inconsistent by
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1927.
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |   (132)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |   (133)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |   (134)  op(e3, e3) = e2
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (34), (134) are inconsistent by
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1957.
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |   (135)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.06  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (48), (53), (56), (135) are
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1302.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |   (136)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |   (137)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |   (138)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |   (139)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |   (140)  op(e0, e0) = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (48), (140) are inconsistent by
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1943.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |   (141)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |   (142)  op(e3, e3) = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (12), (13), (20), (35), (42), (44),
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            (47), (51), (53), (54), (56), (115), (142) are
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1295.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |   (143)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (35), (41), (47), (48), (143) are
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1828.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |   (144)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |   (145)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (34), (58), (145) are inconsistent by
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1960.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |   (146)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |   (147)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |          all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_13)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (147) implies:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |   (148)  op(e2, e0) = e2
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (15), (17), (148) are inconsistent by
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1709.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |   (149)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_11) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                 ~ (all_57_15 = e3) & op(e1, e3) = all_57_1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                  = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_7))))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |   (150)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |   (151)  op(e1, e0) = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (23), (120), (151) are inconsistent by
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1958.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |   (152)  op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |                e2) = all_57_3 & op(e0, e2) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_6 & op(e0, e1) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (152) implies:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |   (153)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |   (154)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (14), (21), (34), (39), (46), (154)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1310.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |   (155)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (156)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_4)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (156) implies:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (157)   ~ (all_57_4 = e1)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (158)  op(e1, e2) = all_57_4
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (116), (157), (158) are inconsistent by
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1303.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |   (159)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0 & $i(all_57_7))
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (160)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (161)  op(e3, e3) = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (12), (13), (20), (35), (42), (44),
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (51), (53), (54), (56), (115), (161) are
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1295.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (162)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 =
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7)
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |   (163)  op(e2, e2) = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (53), (163) are inconsistent by
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1909.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | |   (164)  all_54_3 = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6), (164) imply:
% 197.17/34.07  | | | | | | | | | | | | | | | | | |   (165)  all_52_12 = e0
% 197.17/34.07  | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | REDUCE: (30), (165) imply:
% 197.17/34.07  | | | | | | | | | | | | | | | | | |   (166)  $false
% 197.17/34.07  | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | | CLOSE: (166) is inconsistent.
% 197.17/34.07  | | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | |   (167)  all_56_13 = e1 & op(e0, e2) = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | ALPHA: (167) implies:
% 197.17/34.07  | | | | | | | | | | | | | | | | |   (168)  all_56_13 = e1
% 197.17/34.07  | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (54), (168) are inconsistent by sub-proof
% 197.17/34.07  | | | | | | | | | | | | | | | | |            #1864.
% 197.17/34.07  | | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | |   (169)  all_54_6 = e1 | all_54_6 = e0
% 197.17/34.07  | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | | REF_CLOSE: (7), (12), (16), (33), (59), (97), (169) are
% 197.17/34.07  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1451.
% 197.17/34.07  | | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | |   (170)  all_54_14 = e0
% 197.17/34.07  | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | | REF_CLOSE: (2), (25), (170) are inconsistent by sub-proof
% 197.17/34.07  | | | | | | | | | | | | |            #1294.
% 197.17/34.07  | | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | |   (171)  all_56_10 = e2 & op(e2, e0) = e2
% 197.17/34.07  | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | ALPHA: (171) implies:
% 197.17/34.07  | | | | | | | | | |   (172)  op(e2, e0) = e2
% 197.17/34.07  | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | | REF_CLOSE: (11), (12), (15), (17), (172) are inconsistent by
% 197.17/34.07  | | | | | | | | | |            sub-proof #1709.
% 197.17/34.07  | | | | | | | | | | 
% 197.17/34.07  | | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | | 
% 197.17/34.07  | | | | | | | | End of split
% 197.17/34.07  | | | | | | | | 
% 197.17/34.07  | | | | | | | End of split
% 197.17/34.07  | | | | | | | 
% 197.17/34.07  | | | | | | Case 2:
% 197.17/34.07  | | | | | | | 
% 197.17/34.07  | | | | | | |   (173)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 &
% 197.17/34.07  | | | | | | |            op(e0, e3) = e1)
% 197.17/34.07  | | | | | | | 
% 197.17/34.07  | | | | | | | BETA: splitting (173) gives:
% 197.17/34.07  | | | | | | | 
% 197.17/34.07  | | | | | | | Case 1:
% 197.17/34.07  | | | | | | | | 
% 197.17/34.07  | | | | | | | |   (174)  all_56_6 = e1 & op(e1, e3) = e1
% 197.17/34.07  | | | | | | | | 
% 197.17/34.07  | | | | | | | | REF_CLOSE: (31), (41), (174) are inconsistent by sub-proof
% 197.17/34.07  | | | | | | | |            #1293.
% 197.17/34.07  | | | | | | | | 
% 197.17/34.07  | | | | | | | Case 2:
% 197.17/34.07  | | | | | | | | 
% 197.17/34.07  | | | | | | | |   (175)  all_56_12 = e1 & op(e0, e3) = e1
% 197.17/34.07  | | | | | | | | 
% 197.17/34.07  | | | | | | | | ALPHA: (175) implies:
% 197.17/34.07  | | | | | | | |   (176)  op(e0, e3) = e1
% 197.17/34.07  | | | | | | | | 
% 197.17/34.07  | | | | | | | | REF_CLOSE: (12), (21), (75), (176) are inconsistent by sub-proof
% 197.17/34.07  | | | | | | | |            #1950.
% 197.17/34.07  | | | | | | | | 
% 197.17/34.07  | | | | | | | End of split
% 197.17/34.07  | | | | | | | 
% 197.17/34.07  | | | | | | End of split
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | Case 2:
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | |   (177)  all_54_14 = e0
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | | REF_CLOSE: (2), (25), (177) are inconsistent by sub-proof #1294.
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | End of split
% 197.17/34.07  | | | | | 
% 197.17/34.07  | | | | End of split
% 197.17/34.07  | | | | 
% 197.17/34.07  | | | End of split
% 197.17/34.07  | | | 
% 197.17/34.07  | | Case 2:
% 197.17/34.07  | | | 
% 197.17/34.07  | | |   (178)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 197.17/34.07  | | |            e2)
% 197.17/34.07  | | | 
% 197.17/34.07  | | | BETA: splitting (178) gives:
% 197.17/34.07  | | | 
% 197.17/34.07  | | | Case 1:
% 197.17/34.07  | | | | 
% 197.17/34.07  | | | |   (179)  all_56_4 = e2 & op(e3, e1) = e2
% 197.17/34.07  | | | | 
% 197.17/34.07  | | | | REF_CLOSE: (49), (56), (179) are inconsistent by sub-proof #1292.
% 197.17/34.07  | | | | 
% 197.17/34.07  | | | Case 2:
% 197.17/34.07  | | | | 
% 197.17/34.07  | | | |   (180)  all_56_9 = e2 & op(e3, e0) = e2
% 197.17/34.07  | | | | 
% 197.17/34.07  | | | | ALPHA: (180) implies:
% 197.17/34.07  | | | |   (181)  all_56_9 = e2
% 197.17/34.07  | | | | 
% 197.17/34.07  | | | | BETA: splitting (18) gives:
% 197.17/34.07  | | | | 
% 197.17/34.07  | | | | Case 1:
% 197.17/34.07  | | | | | 
% 197.17/34.07  | | | | |   (182)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2,
% 197.17/34.07  | | | | |              e0) = e1)
% 197.17/34.07  | | | | | 
% 197.17/34.07  | | | | | BETA: splitting (182) gives:
% 197.17/34.07  | | | | | 
% 197.17/34.07  | | | | | Case 1:
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | |   (183)  all_56_9 = e1 & op(e3, e0) = e1
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | | ALPHA: (183) implies:
% 197.17/34.07  | | | | | |   (184)  all_56_9 = e1
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | | REF_CLOSE: (44), (181), (184) are inconsistent by sub-proof #1605.
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | Case 2:
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | |   (185)  all_56_10 = e1 & op(e2, e0) = e1
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | | REF_CLOSE: (32), (54), (185) are inconsistent by sub-proof #1539.
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | End of split
% 197.17/34.07  | | | | | 
% 197.17/34.07  | | | | Case 2:
% 197.17/34.07  | | | | | 
% 197.17/34.07  | | | | |   (186)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 197.17/34.07  | | | | |              e0) = e1)
% 197.17/34.07  | | | | | 
% 197.17/34.07  | | | | | BETA: splitting (186) gives:
% 197.17/34.07  | | | | | 
% 197.17/34.07  | | | | | Case 1:
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | |   (187)  all_56_11 = e1 & op(e1, e0) = e1
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | | ALPHA: (187) implies:
% 197.17/34.07  | | | | | |   (188)  op(e1, e0) = e1
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | | REF_CLOSE: (6), (12), (23), (24), (28), (30), (62), (188) are
% 197.17/34.07  | | | | | |            inconsistent by sub-proof #1290.
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | Case 2:
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | |   (189)  all_56_15 = e1 & op(e0, e0) = e1
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | | ALPHA: (189) implies:
% 197.17/34.07  | | | | | |   (190)  op(e0, e0) = e1
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | | REF_CLOSE: (12), (41), (48), (190) are inconsistent by sub-proof
% 197.17/34.07  | | | | | |            #1943.
% 197.17/34.07  | | | | | | 
% 197.17/34.07  | | | | | End of split
% 197.17/34.07  | | | | | 
% 197.17/34.07  | | | | End of split
% 197.17/34.07  | | | | 
% 197.17/34.07  | | | End of split
% 197.17/34.07  | | | 
% 197.17/34.07  | | End of split
% 197.17/34.07  | | 
% 197.17/34.07  | End of split
% 197.17/34.07  | 
% 197.17/34.07  End of proof
% 197.17/34.07  
% 197.17/34.07  Sub-proof #1290 shows that the following formulas are inconsistent:
% 197.17/34.07  ----------------------------------------------------------------
% 197.17/34.07    (1)  all_54_3 = all_52_12
% 197.17/34.07    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.07    (3)  op(e1, e0) = all_52_14
% 197.17/34.07    (4)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.17/34.07    (5)   ~ (all_52_12 = e2)
% 197.17/34.07    (6)   ~ (all_52_12 = all_52_14)
% 197.17/34.07    (7)   ~ (all_52_12 = e0)
% 197.17/34.07    (8)  op(e1, e0) = e1
% 197.17/34.07  
% 197.17/34.07  Begin of proof
% 197.17/34.07  | 
% 197.17/34.07  | BETA: splitting (4) gives:
% 197.17/34.07  | 
% 197.17/34.07  | Case 1:
% 197.17/34.07  | | 
% 197.17/34.07  | |   (9)  all_54_3 = e2
% 197.17/34.07  | | 
% 197.17/34.07  | | COMBINE_EQS: (1), (9) imply:
% 197.17/34.07  | |   (10)  all_52_12 = e2
% 197.17/34.07  | | 
% 197.17/34.07  | | REDUCE: (5), (10) imply:
% 197.17/34.07  | |   (11)  $false
% 197.17/34.07  | | 
% 197.17/34.07  | | CLOSE: (11) is inconsistent.
% 197.17/34.07  | | 
% 197.17/34.07  | Case 2:
% 197.17/34.07  | | 
% 197.17/34.07  | |   (12)  all_54_3 = e1 | all_54_3 = e0
% 197.17/34.07  | | 
% 197.17/34.07  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (12) are inconsistent by sub-proof
% 197.17/34.07  | |            #1291.
% 197.17/34.07  | | 
% 197.17/34.07  | End of split
% 197.17/34.07  | 
% 197.17/34.07  End of proof
% 197.17/34.07  
% 197.17/34.07  Sub-proof #1291 shows that the following formulas are inconsistent:
% 197.17/34.07  ----------------------------------------------------------------
% 197.17/34.07    (1)  all_54_3 = all_52_12
% 197.17/34.07    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.07    (3)  op(e1, e0) = all_52_14
% 197.17/34.07    (4)   ~ (all_52_12 = all_52_14)
% 197.17/34.07    (5)  all_54_3 = e1 | all_54_3 = e0
% 197.17/34.07    (6)   ~ (all_52_12 = e0)
% 197.17/34.07    (7)  op(e1, e0) = e1
% 197.17/34.07  
% 197.17/34.07  Begin of proof
% 197.17/34.07  | 
% 197.17/34.07  | BETA: splitting (5) gives:
% 197.17/34.07  | 
% 197.17/34.07  | Case 1:
% 197.17/34.07  | | 
% 197.17/34.07  | |   (8)  all_54_3 = e1
% 197.17/34.07  | | 
% 197.17/34.07  | | COMBINE_EQS: (1), (8) imply:
% 197.17/34.07  | |   (9)  all_52_12 = e1
% 197.17/34.07  | | 
% 197.17/34.07  | | REDUCE: (4), (9) imply:
% 197.17/34.07  | |   (10)   ~ (all_52_14 = e1)
% 197.17/34.07  | | 
% 197.17/34.07  | | SIMP: (10) implies:
% 197.17/34.07  | |   (11)   ~ (all_52_14 = e1)
% 197.17/34.07  | | 
% 197.17/34.07  | | REF_CLOSE: (2), (3), (7), (11) are inconsistent by sub-proof #1958.
% 197.17/34.07  | | 
% 197.17/34.07  | Case 2:
% 197.17/34.07  | | 
% 197.17/34.07  | |   (12)  all_54_3 = e0
% 197.17/34.07  | | 
% 197.17/34.07  | | COMBINE_EQS: (1), (12) imply:
% 197.17/34.07  | |   (13)  all_52_12 = e0
% 197.17/34.07  | | 
% 197.17/34.07  | | REDUCE: (6), (13) imply:
% 197.17/34.07  | |   (14)  $false
% 197.17/34.07  | | 
% 197.17/34.07  | | CLOSE: (14) is inconsistent.
% 197.17/34.07  | | 
% 197.17/34.07  | End of split
% 197.17/34.07  | 
% 197.17/34.07  End of proof
% 197.17/34.07  
% 197.17/34.07  Sub-proof #1292 shows that the following formulas are inconsistent:
% 197.17/34.07  ----------------------------------------------------------------
% 197.17/34.07    (1)  all_56_4 = e2 & op(e3, e1) = e2
% 197.17/34.07    (2)  all_56_4 = e0
% 197.17/34.07    (3)   ~ (e2 = e0)
% 197.17/34.07  
% 197.17/34.07  Begin of proof
% 197.17/34.07  | 
% 197.17/34.07  | ALPHA: (1) implies:
% 197.17/34.07  |   (4)  all_56_4 = e2
% 197.17/34.07  | 
% 197.17/34.07  | COMBINE_EQS: (2), (4) imply:
% 197.17/34.07  |   (5)  e2 = e0
% 197.17/34.07  | 
% 197.17/34.07  | REDUCE: (3), (5) imply:
% 197.17/34.07  |   (6)  $false
% 197.17/34.07  | 
% 197.17/34.07  | CLOSE: (6) is inconsistent.
% 197.17/34.07  | 
% 197.17/34.07  End of proof
% 197.17/34.07  
% 197.17/34.07  Sub-proof #1293 shows that the following formulas are inconsistent:
% 197.17/34.07  ----------------------------------------------------------------
% 197.17/34.07    (1)  all_56_6 = e1 & op(e1, e3) = e1
% 197.17/34.07    (2)  all_56_6 = e0
% 197.17/34.07    (3)   ~ (e1 = e0)
% 197.17/34.07  
% 197.17/34.07  Begin of proof
% 197.17/34.07  | 
% 197.17/34.07  | ALPHA: (1) implies:
% 197.17/34.07  |   (4)  all_56_6 = e1
% 197.17/34.07  | 
% 197.17/34.07  | COMBINE_EQS: (2), (4) imply:
% 197.17/34.07  |   (5)  e1 = e0
% 197.17/34.07  | 
% 197.17/34.07  | REDUCE: (3), (5) imply:
% 197.17/34.07  |   (6)  $false
% 197.17/34.07  | 
% 197.17/34.07  | CLOSE: (6) is inconsistent.
% 197.17/34.07  | 
% 197.17/34.07  End of proof
% 197.17/34.07  
% 197.17/34.07  Sub-proof #1294 shows that the following formulas are inconsistent:
% 197.17/34.07  ----------------------------------------------------------------
% 197.17/34.07    (1)  all_54_14 = all_30_0
% 197.17/34.07    (2)  all_54_14 = e0
% 197.17/34.07    (3)   ~ (all_30_0 = e0)
% 197.17/34.07  
% 197.17/34.07  Begin of proof
% 197.17/34.07  | 
% 197.17/34.07  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.07  |   (4)  all_30_0 = e0
% 197.17/34.07  | 
% 197.17/34.07  | SIMP: (4) implies:
% 197.17/34.07  |   (5)  all_30_0 = e0
% 197.17/34.07  | 
% 197.17/34.07  | REDUCE: (3), (5) imply:
% 197.17/34.07  |   (6)  $false
% 197.17/34.07  | 
% 197.17/34.07  | CLOSE: (6) is inconsistent.
% 197.17/34.07  | 
% 197.17/34.07  End of proof
% 197.17/34.07  
% 197.17/34.07  Sub-proof #1295 shows that the following formulas are inconsistent:
% 197.17/34.07  ----------------------------------------------------------------
% 197.17/34.07    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.07         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.07    (2)   ~ (e3 = e2)
% 197.17/34.07    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.07    (4)  all_56_13 = e3
% 197.17/34.07    (5)  all_56_7 = e1
% 197.17/34.07    (6)  op(e3, e3) = e1
% 197.17/34.07    (7)   ~ (all_52_8 = e3)
% 197.17/34.07    (8)   ~ (all_52_12 = e3)
% 197.17/34.07    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.17/34.07         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.17/34.07    (10)   ~ (e2 = e1)
% 197.17/34.07    (11)  op(e3, e0) = all_52_12
% 197.17/34.07    (12)  op(e3, e1) = all_52_8
% 197.17/34.07    (13)  op(e2, e2) = e0
% 197.17/34.07    (14)   ~ (e3 = e1)
% 197.17/34.07    (15)   ~ (e2 = e0)
% 197.17/34.07  
% 197.17/34.07  Begin of proof
% 197.17/34.07  | 
% 197.17/34.07  | BETA: splitting (9) gives:
% 197.17/34.07  | 
% 197.17/34.07  | Case 1:
% 197.17/34.07  | | 
% 197.17/34.07  | |   (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 197.17/34.07  | |           e3)
% 197.17/34.07  | | 
% 197.17/34.07  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10), (13), (14), (15), (16) are
% 197.17/34.07  | |            inconsistent by sub-proof #1297.
% 197.17/34.07  | | 
% 197.17/34.07  | Case 2:
% 197.17/34.07  | | 
% 197.17/34.07  | |   (17)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 197.17/34.07  | |           e3)
% 197.17/34.07  | | 
% 197.17/34.07  | | REF_CLOSE: (3), (7), (8), (11), (12), (17) are inconsistent by sub-proof
% 197.17/34.07  | |            #1296.
% 197.17/34.07  | | 
% 197.17/34.07  | End of split
% 197.17/34.07  | 
% 197.17/34.07  End of proof
% 197.17/34.07  
% 197.17/34.07  Sub-proof #1296 shows that the following formulas are inconsistent:
% 197.17/34.07  ----------------------------------------------------------------
% 197.17/34.07    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (2)   ~ (all_52_8 = e3)
% 197.17/34.08    (3)   ~ (all_52_12 = e3)
% 197.17/34.08    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.17/34.08    (5)  op(e3, e0) = all_52_12
% 197.17/34.08    (6)  op(e3, e1) = all_52_8
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (4) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (7)  all_56_4 = e3 & op(e3, e1) = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (7) implies:
% 197.17/34.08  | |   (8)  op(e3, e1) = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1759.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (9)  all_56_9 = e3 & op(e3, e0) = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (9) implies:
% 197.17/34.08  | |   (10)  op(e3, e0) = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1964.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1297 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.08         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.08    (2)   ~ (e3 = e2)
% 197.17/34.08    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (4)  all_56_13 = e3
% 197.17/34.08    (5)  all_56_7 = e1
% 197.17/34.08    (6)  op(e3, e3) = e1
% 197.17/34.08    (7)   ~ (e2 = e1)
% 197.17/34.08    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 197.17/34.08    (9)  op(e2, e2) = e0
% 197.17/34.08    (10)   ~ (e3 = e1)
% 197.17/34.08    (11)   ~ (e2 = e0)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (8) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (12)  all_56_0 = e3 & op(e3, e3) = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (12) implies:
% 197.17/34.08  | |   (13)  op(e3, e3) = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (3), (6), (10), (13) are inconsistent by sub-proof #1966.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (14)  all_56_1 = e3 & op(e3, e2) = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (14) implies:
% 197.17/34.08  | |   (15)  all_56_1 = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (11), (15) are inconsistent by
% 197.17/34.08  | |            sub-proof #1298.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1298 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.08         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.08    (2)   ~ (e3 = e2)
% 197.17/34.08    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (4)  all_56_13 = e3
% 197.17/34.08    (5)  all_56_7 = e1
% 197.17/34.08    (6)   ~ (e2 = e1)
% 197.17/34.08    (7)  all_56_1 = e3
% 197.17/34.08    (8)  op(e2, e2) = e0
% 197.17/34.08    (9)   ~ (e2 = e0)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (1) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.17/34.08  | |           e2)
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (2), (3), (7), (8), (9), (10) are inconsistent by sub-proof
% 197.17/34.08  | |            #1300.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (11)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 197.17/34.08  | |           e2)
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (2), (4), (5), (6), (11) are inconsistent by sub-proof #1299.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1299 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)   ~ (e3 = e2)
% 197.17/34.08    (2)  all_56_13 = e3
% 197.17/34.08    (3)  all_56_7 = e1
% 197.17/34.08    (4)   ~ (e2 = e1)
% 197.17/34.08    (5)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (5) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (6)  all_56_7 = e2 & op(e1, e2) = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #1906.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (7)  all_56_13 = e2 & op(e0, e2) = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (7) implies:
% 197.17/34.08  | |   (8)  all_56_13 = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #1541.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1300 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 197.17/34.08    (2)   ~ (e3 = e2)
% 197.17/34.08    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (4)  all_56_1 = e3
% 197.17/34.08    (5)  op(e2, e2) = e0
% 197.17/34.08    (6)   ~ (e2 = e0)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (1) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #1301.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (8) implies:
% 197.17/34.08  | |   (9)  op(e2, e2) = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (3), (5), (6), (9) are inconsistent by sub-proof #1939.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1301 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)  all_56_1 = e2 & op(e3, e2) = e2
% 197.17/34.08    (2)  all_56_1 = e3
% 197.17/34.08    (3)   ~ (e3 = e2)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | ALPHA: (1) implies:
% 197.17/34.08  |   (4)  all_56_1 = e2
% 197.17/34.08  | 
% 197.17/34.08  | COMBINE_EQS: (2), (4) imply:
% 197.17/34.08  |   (5)  e3 = e2
% 197.17/34.08  | 
% 197.17/34.08  | REDUCE: (3), (5) imply:
% 197.17/34.08  |   (6)  $false
% 197.17/34.08  | 
% 197.17/34.08  | CLOSE: (6) is inconsistent.
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1302 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (2)   ~ (e1 = e0)
% 197.17/34.08    (3)  op(e0, e0) = e0
% 197.17/34.08    (4)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 197.17/34.08             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.17/34.08           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 197.17/34.08           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 197.17/34.08           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 197.17/34.08           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.17/34.08    (5)  op(e2, e2) = e0
% 197.17/34.08    (6)   ~ (e2 = e0)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (4) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (7)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 197.17/34.08  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.17/34.08  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (7) implies:
% 197.17/34.08  | |   (8)  op(e0, e0) = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1945.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.17/34.08  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.17/34.08  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (9) implies:
% 197.17/34.08  | |   (10)  op(e2, e2) = e1
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1909.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1303 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (2)  op(e1, e2) = all_57_4
% 197.17/34.08    (3)  op(e1, e2) = e1
% 197.17/34.08    (4)   ~ (all_57_4 = e1)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | GROUND_INST: instantiating (1) with e1, all_57_4, e2, e1, simplifying with
% 197.17/34.08  |              (2), (3) gives:
% 197.17/34.08  |   (5)  all_57_4 = e1
% 197.17/34.08  | 
% 197.17/34.08  | REDUCE: (4), (5) imply:
% 197.17/34.08  |   (6)  $false
% 197.17/34.08  | 
% 197.17/34.08  | CLOSE: (6) is inconsistent.
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1304 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)  all_56_2 = e2 & op(e2, e3) = e2
% 197.17/34.08    (2)  all_56_2 = e1
% 197.17/34.08    (3)   ~ (e2 = e1)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | ALPHA: (1) implies:
% 197.17/34.08  |   (4)  all_56_2 = e2
% 197.17/34.08  | 
% 197.17/34.08  | COMBINE_EQS: (2), (4) imply:
% 197.17/34.08  |   (5)  e2 = e1
% 197.17/34.08  | 
% 197.17/34.08  | REDUCE: (3), (5) imply:
% 197.17/34.08  |   (6)  $false
% 197.17/34.08  | 
% 197.17/34.08  | CLOSE: (6) is inconsistent.
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1305 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)  all_54_14 = all_30_0
% 197.17/34.08    (2)  all_54_14 = e2
% 197.17/34.08    (3)   ~ (all_30_0 = e2)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.08  |   (4)  all_30_0 = e2
% 197.17/34.08  | 
% 197.17/34.08  | SIMP: (4) implies:
% 197.17/34.08  |   (5)  all_30_0 = e2
% 197.17/34.08  | 
% 197.17/34.08  | REDUCE: (3), (5) imply:
% 197.17/34.08  |   (6)  $false
% 197.17/34.08  | 
% 197.17/34.08  | CLOSE: (6) is inconsistent.
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1306 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)  all_54_14 = all_30_0
% 197.17/34.08    (2)  all_54_14 = e3
% 197.17/34.08    (3)   ~ (all_30_0 = e3)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.08  |   (4)  all_30_0 = e3
% 197.17/34.08  | 
% 197.17/34.08  | SIMP: (4) implies:
% 197.17/34.08  |   (5)  all_30_0 = e3
% 197.17/34.08  | 
% 197.17/34.08  | REDUCE: (3), (5) imply:
% 197.17/34.08  |   (6)  $false
% 197.17/34.08  | 
% 197.17/34.08  | CLOSE: (6) is inconsistent.
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1307 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.17/34.08         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.17/34.08    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.08         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.08    (3)   ~ (e3 = e2)
% 197.17/34.08    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (5)  all_56_13 = e3
% 197.17/34.08    (6)  op(e3, e3) = e3
% 197.17/34.08    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 197.17/34.08    (8)   ~ (e1 = e0)
% 197.17/34.08    (9)   ~ (e2 = e1)
% 197.17/34.08    (10)  op(e2, e2) = e0
% 197.17/34.08    (11)   ~ (e3 = e1)
% 197.17/34.08    (12)   ~ (e2 = e0)
% 197.17/34.08    (13)   ~ (e3 = e0)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (7) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (14)  all_56_0 = e0 & op(e3, e3) = e0
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (14) implies:
% 197.17/34.08  | |   (15)  op(e3, e3) = e0
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (4), (6), (13), (15) are inconsistent by sub-proof #1961.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (16)  all_56_1 = e0 & op(e3, e2) = e0
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (16) implies:
% 197.17/34.08  | |   (17)  all_56_1 = e0
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (12), (17) are
% 197.17/34.08  | |            inconsistent by sub-proof #1308.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1308 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.17/34.08         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.17/34.08    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.08         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.08    (3)   ~ (e3 = e2)
% 197.17/34.08    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (5)  all_56_13 = e3
% 197.17/34.08    (6)  all_56_1 = e0
% 197.17/34.08    (7)   ~ (e1 = e0)
% 197.17/34.08    (8)   ~ (e2 = e1)
% 197.17/34.08    (9)  op(e2, e2) = e0
% 197.17/34.08    (10)   ~ (e3 = e1)
% 197.17/34.08    (11)   ~ (e2 = e0)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (1) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (12)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.17/34.08  | |           e1)
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (4), (6), (7), (9), (12) are inconsistent by sub-proof #1309.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (13)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.17/34.08  | |           e1)
% 197.17/34.08  | | 
% 197.17/34.08  | | BETA: splitting (13) gives:
% 197.17/34.08  | | 
% 197.17/34.08  | | Case 1:
% 197.17/34.08  | | | 
% 197.17/34.08  | | |   (14)  all_56_7 = e1 & op(e1, e2) = e1
% 197.17/34.08  | | | 
% 197.17/34.08  | | | ALPHA: (14) implies:
% 197.17/34.08  | | |   (15)  all_56_7 = e1
% 197.17/34.08  | | | 
% 197.17/34.08  | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (11), (15) are inconsistent
% 197.17/34.08  | | |            by sub-proof #1904.
% 197.17/34.08  | | | 
% 197.17/34.08  | | Case 2:
% 197.17/34.08  | | | 
% 197.17/34.08  | | |   (16)  all_56_13 = e1 & op(e0, e2) = e1
% 197.17/34.08  | | | 
% 197.17/34.08  | | | ALPHA: (16) implies:
% 197.17/34.08  | | |   (17)  all_56_13 = e1
% 197.17/34.08  | | | 
% 197.17/34.08  | | | REF_CLOSE: (5), (10), (17) are inconsistent by sub-proof #1864.
% 197.17/34.08  | | | 
% 197.17/34.08  | | End of split
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1309 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 197.17/34.08    (3)  all_56_1 = e0
% 197.17/34.08    (4)   ~ (e1 = e0)
% 197.17/34.08    (5)  op(e2, e2) = e0
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (2) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (6)  all_56_1 = e1 & op(e3, e2) = e1
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (6) implies:
% 197.17/34.08  | |   (7)  all_56_1 = e1
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #1628.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (8)  all_56_3 = e1 & op(e2, e2) = e1
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (8) implies:
% 197.17/34.08  | |   (9)  op(e2, e2) = e1
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1909.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1310 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)   ~ (e3 = e2)
% 197.17/34.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (3)  op(e2, e2) = all_4_2
% 197.17/34.08    (4)  op(e0, e3) = all_52_3
% 197.17/34.08    (5)  op(e3, e3) = e3
% 197.17/34.08    (6)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.17/34.08             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.08           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.17/34.08           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.17/34.08             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.17/34.08           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.17/34.08           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.17/34.08    (7)   ~ (all_4_2 = e3)
% 197.17/34.08    (8)   ~ (all_52_3 = e0)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (6) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (9)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.17/34.08  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.08  | |        $i(all_57_0)
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (9) implies:
% 197.17/34.08  | |   (10)  op(e2, e2) = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (2), (3), (7), (10) are inconsistent by sub-proof #1975.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (11)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 197.17/34.08  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 197.17/34.08  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.17/34.08  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 197.17/34.08  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (2), (4), (5), (8), (11) are inconsistent by sub-proof
% 197.17/34.08  | |            #1311.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1311 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)   ~ (e3 = e2)
% 197.17/34.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (3)  op(e0, e3) = all_52_3
% 197.17/34.08    (4)  op(e3, e3) = e3
% 197.17/34.08    (5)   ~ (all_52_3 = e0)
% 197.17/34.08    (6)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.17/34.08             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.17/34.08           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.17/34.08           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 197.17/34.08             e2) = e0 & $i(all_57_3))
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (6) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.17/34.08  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.17/34.08  | |        $i(all_57_1)
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (7) implies:
% 197.17/34.08  | |   (8)  op(e0, e3) = e0
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1935.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.17/34.08  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.17/34.08  | |        $i(all_57_3)
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (9) implies:
% 197.17/34.08  | |   (10)  op(e3, e3) = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1957.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1312 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.17/34.08             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.17/34.08           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 197.17/34.08           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.17/34.08           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.17/34.08           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 197.17/34.08    (3)  op(e3, e3) = e3
% 197.17/34.08    (4)   ~ (e1 = e0)
% 197.17/34.08    (5)  op(e0, e0) = e0
% 197.17/34.08    (6)   ~ (e3 = e1)
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (2) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.17/34.08  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.17/34.08  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (7) implies:
% 197.17/34.08  | |   (8)  op(e0, e0) = e1
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1943.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.17/34.08  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.17/34.08  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (9) implies:
% 197.17/34.08  | |   (10)  op(e3, e3) = e1
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1966.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1313 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)   ~ (all_52_4 = e3)
% 197.17/34.08    (2)   ~ (e3 = e2)
% 197.17/34.08    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (4)  op(e3, e2) = all_52_4
% 197.17/34.08    (5)  op(e2, e2) = all_4_2
% 197.17/34.08    (6)  op(e3, e3) = e3
% 197.17/34.08    (7)   ~ (all_4_2 = e1)
% 197.17/34.08    (8)  op(e0, e0) = e0
% 197.17/34.08    (9)   ~ (e2 = e0)
% 197.17/34.08    (10)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.17/34.08              e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.17/34.08            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 197.17/34.08            = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.17/34.08            op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 197.17/34.08            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 197.17/34.08            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3)
% 197.17/34.08            = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 197.17/34.08            all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15
% 197.17/34.08            = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.17/34.08            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.17/34.08            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 197.17/34.08            (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.17/34.08            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.17/34.08            $i(all_57_7) & $i(all_57_10))
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (10) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (11)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 197.17/34.08  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.17/34.08  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.17/34.08  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 197.17/34.08  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.17/34.08  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (3), (4), (11) are inconsistent by sub-proof #1971.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (12)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 197.17/34.08  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 197.17/34.08  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.17/34.08  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.17/34.08  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.17/34.08  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.17/34.08  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.17/34.08  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.17/34.08  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.17/34.08  | | 
% 197.17/34.08  | | BETA: splitting (12) gives:
% 197.17/34.08  | | 
% 197.17/34.08  | | Case 1:
% 197.17/34.08  | | | 
% 197.17/34.08  | | |   (13)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.17/34.08  | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.17/34.08  | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.17/34.08  | | |         $i(all_57_14)
% 197.17/34.08  | | | 
% 197.17/34.08  | | | ALPHA: (13) implies:
% 197.17/34.08  | | |   (14)  op(e3, e3) = e2
% 197.17/34.08  | | | 
% 197.17/34.08  | | | REF_CLOSE: (2), (3), (6), (14) are inconsistent by sub-proof #1957.
% 197.17/34.08  | | | 
% 197.17/34.08  | | Case 2:
% 197.17/34.08  | | | 
% 197.17/34.08  | | |   (15)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.17/34.08  | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.17/34.08  | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.17/34.08  | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7
% 197.17/34.08  | | |             = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 197.17/34.08  | | |             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.17/34.08  | | |           $i(all_57_7) & $i(all_57_10))
% 197.17/34.08  | | | 
% 197.17/34.08  | | | BETA: splitting (15) gives:
% 197.17/34.08  | | | 
% 197.17/34.08  | | | Case 1:
% 197.17/34.08  | | | | 
% 197.17/34.08  | | | |   (16)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.17/34.08  | | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.17/34.08  | | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.17/34.08  | | | |         $i(all_57_14)
% 197.17/34.08  | | | | 
% 197.17/34.08  | | | | ALPHA: (16) implies:
% 197.17/34.08  | | | |   (17)  op(e0, e0) = e2
% 197.17/34.08  | | | | 
% 197.17/34.08  | | | | REF_CLOSE: (3), (8), (9), (17) are inconsistent by sub-proof #1945.
% 197.17/34.08  | | | | 
% 197.17/34.08  | | | Case 2:
% 197.17/34.08  | | | | 
% 197.17/34.08  | | | |   (18)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.17/34.08  | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.17/34.08  | | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.17/34.08  | | | |         $i(all_57_10)
% 197.17/34.08  | | | | 
% 197.17/34.08  | | | | ALPHA: (18) implies:
% 197.17/34.08  | | | |   (19)  op(e2, e2) = e1
% 197.17/34.08  | | | | 
% 197.17/34.08  | | | | REF_CLOSE: (3), (5), (7), (19) are inconsistent by sub-proof #1969.
% 197.17/34.08  | | | | 
% 197.17/34.08  | | | End of split
% 197.17/34.08  | | | 
% 197.17/34.08  | | End of split
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1314 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)  op(e0, e0) = all_14_2
% 197.17/34.08    (2)   ~ (all_14_2 = e1)
% 197.17/34.08    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (4)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 197.17/34.08             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.17/34.08           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 197.17/34.08           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 197.17/34.08             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 197.17/34.08             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.17/34.08    (5)  op(e2, e2) = all_4_2
% 197.17/34.08    (6)   ~ (all_14_2 = e3)
% 197.17/34.08    (7)   ~ (all_4_2 = e3)
% 197.17/34.08    (8)  all_54_15 = all_14_2
% 197.17/34.08    (9)  all_54_15 = e1 | all_54_15 = e0
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (4) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (10)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 197.17/34.08  | |           = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1
% 197.17/34.08  | |         & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (10) implies:
% 197.17/34.08  | |   (11)  op(e2, e2) = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (3), (5), (7), (11) are inconsistent by sub-proof #1975.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (12)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 197.17/34.08  | |           = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.17/34.08  | |         all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 197.17/34.08  | | 
% 197.17/34.08  | | ALPHA: (12) implies:
% 197.17/34.08  | |   (13)  op(e0, e0) = e3
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (1), (2), (3), (6), (8), (9), (13) are inconsistent by sub-proof
% 197.17/34.08  | |            #1647.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1315 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.08    (1)   ~ (all_52_1 = all_4_2)
% 197.17/34.08    (2)   ~ (all_4_2 = e0)
% 197.17/34.08    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.08    (4)   ~ (all_4_2 = e1)
% 197.17/34.08    (5)  op(e2, e3) = e2
% 197.17/34.08    (6)  all_54_5 = all_4_2
% 197.17/34.08    (7)  op(e2, e3) = all_52_1
% 197.17/34.08    (8)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.17/34.08  
% 197.17/34.08  Begin of proof
% 197.17/34.08  | 
% 197.17/34.08  | BETA: splitting (8) gives:
% 197.17/34.08  | 
% 197.17/34.08  | Case 1:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (9)  all_54_5 = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | COMBINE_EQS: (6), (9) imply:
% 197.17/34.08  | |   (10)  all_4_2 = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | SIMP: (10) implies:
% 197.17/34.08  | |   (11)  all_4_2 = e2
% 197.17/34.08  | | 
% 197.17/34.08  | | REDUCE: (1), (11) imply:
% 197.17/34.08  | |   (12)   ~ (all_52_1 = e2)
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (3), (5), (7), (12) are inconsistent by sub-proof #1785.
% 197.17/34.08  | | 
% 197.17/34.08  | Case 2:
% 197.17/34.08  | | 
% 197.17/34.08  | |   (13)  all_54_5 = e1 | all_54_5 = e0
% 197.17/34.08  | | 
% 197.17/34.08  | | REF_CLOSE: (2), (4), (6), (13) are inconsistent by sub-proof #1941.
% 197.17/34.08  | | 
% 197.17/34.08  | End of split
% 197.17/34.08  | 
% 197.17/34.08  End of proof
% 197.17/34.08  
% 197.17/34.08  Sub-proof #1316 shows that the following formulas are inconsistent:
% 197.17/34.08  ----------------------------------------------------------------
% 197.17/34.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (2)  op(e2, e2) = e1
% 197.17/34.09    (3)  op(e3, e3) = e1
% 197.17/34.09    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.17/34.09             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.17/34.09           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.17/34.09           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.17/34.09             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.17/34.09           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.17/34.09           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.17/34.09           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.17/34.09           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.17/34.09           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.17/34.09           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.17/34.09         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.17/34.09             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.17/34.09           $i(all_57_7))
% 197.17/34.09    (5)  op(e0, e1) = all_52_11
% 197.17/34.09    (6)  op(e1, e1) = e0
% 197.17/34.09    (7)   ~ (e2 = e1)
% 197.17/34.09    (8)   ~ (all_52_11 = e0)
% 197.17/34.09    (9)   ~ (e3 = e1)
% 197.17/34.09    (10)   ~ (e2 = e0)
% 197.17/34.09    (11)   ~ (e3 = e0)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (4) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (12)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 197.17/34.09  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.17/34.09  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.17/34.09  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 197.17/34.09  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 197.17/34.09  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.17/34.09  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.17/34.09  | |           $i(all_57_3))
% 197.17/34.09  | | 
% 197.17/34.09  | | BETA: splitting (12) gives:
% 197.17/34.09  | | 
% 197.17/34.09  | | Case 1:
% 197.17/34.09  | | | 
% 197.17/34.09  | | |   (13)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.17/34.09  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.17/34.09  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 197.17/34.09  | | | 
% 197.17/34.09  | | | ALPHA: (13) implies:
% 197.17/34.09  | | |   (14)  op(e2, e2) = e3
% 197.17/34.09  | | | 
% 197.17/34.09  | | | REF_CLOSE: (1), (2), (9), (14) are inconsistent by sub-proof #1679.
% 197.17/34.09  | | | 
% 197.17/34.09  | | Case 2:
% 197.17/34.09  | | | 
% 197.17/34.09  | | |   (15)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.17/34.09  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.17/34.09  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.17/34.09  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.17/34.09  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.17/34.09  | | | 
% 197.17/34.09  | | | REF_CLOSE: (1), (3), (6), (7), (11), (15) are inconsistent by sub-proof
% 197.17/34.09  | | |            #1476.
% 197.17/34.09  | | | 
% 197.17/34.09  | | End of split
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (16)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.17/34.09  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.17/34.09  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.17/34.09  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.17/34.09  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.17/34.09  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.17/34.09  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.17/34.09  | |           $i(all_57_7))
% 197.17/34.09  | | 
% 197.17/34.09  | | BETA: splitting (16) gives:
% 197.17/34.09  | | 
% 197.17/34.09  | | Case 1:
% 197.17/34.09  | | | 
% 197.17/34.09  | | |   (17)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.17/34.09  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.17/34.09  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 197.17/34.09  | | | 
% 197.17/34.09  | | | ALPHA: (17) implies:
% 197.17/34.09  | | |   (18)  op(e1, e1) = e2
% 197.17/34.09  | | | 
% 197.17/34.09  | | | REF_CLOSE: (1), (6), (10), (18) are inconsistent by sub-proof #1821.
% 197.17/34.09  | | | 
% 197.17/34.09  | | Case 2:
% 197.17/34.09  | | | 
% 197.17/34.09  | | |   (19)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.17/34.09  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.17/34.09  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.17/34.09  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 197.17/34.09  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.17/34.09  | | | 
% 197.17/34.09  | | | BETA: splitting (19) gives:
% 197.17/34.09  | | | 
% 197.17/34.09  | | | Case 1:
% 197.17/34.09  | | | | 
% 197.17/34.09  | | | |   (20)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.17/34.09  | | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.17/34.09  | | | |         op(e0, e1) = e0 & $i(all_57_6)
% 197.17/34.09  | | | | 
% 197.17/34.09  | | | | ALPHA: (20) implies:
% 197.17/34.09  | | | |   (21)  op(e0, e1) = e0
% 197.17/34.09  | | | | 
% 197.17/34.09  | | | | REF_CLOSE: (1), (5), (8), (21) are inconsistent by sub-proof #1931.
% 197.17/34.09  | | | | 
% 197.17/34.09  | | | Case 2:
% 197.17/34.09  | | | | 
% 197.17/34.09  | | | |   (22)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.17/34.09  | | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.17/34.09  | | | |         op(e0, e1) = e0 & $i(all_57_7)
% 197.17/34.09  | | | | 
% 197.17/34.09  | | | | ALPHA: (22) implies:
% 197.17/34.09  | | | |   (23)  op(e0, e1) = e0
% 197.17/34.09  | | | | 
% 197.17/34.09  | | | | REF_CLOSE: (1), (5), (8), (23) are inconsistent by sub-proof #1931.
% 197.17/34.09  | | | | 
% 197.17/34.09  | | | End of split
% 197.17/34.09  | | | 
% 197.17/34.09  | | End of split
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1317 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (2)  op(e2, e2) = e1
% 197.17/34.09    (3)   ~ (e1 = e0)
% 197.17/34.09    (4)  op(e1, e0) = e1
% 197.17/34.09    (5)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 197.17/34.09             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.17/34.09           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 197.17/34.09           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.17/34.09           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 197.17/34.09           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (5) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (6)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 197.17/34.09  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 197.17/34.09  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (6) implies:
% 197.17/34.09  | |   (7)  op(e2, e2) = e0
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1909.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (8)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 197.17/34.09  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 197.17/34.09  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (8) implies:
% 197.17/34.09  | |   (9)   ~ (all_57_13 = e1)
% 197.17/34.09  | |   (10)  op(e1, e0) = all_57_13
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (4), (9), (10) are inconsistent by sub-proof #1437.
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1318 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)  op(e1, e2) = all_52_6
% 197.17/34.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (3)  op(e3, e3) = e1
% 197.17/34.09    (4)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.17/34.09             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.17/34.09           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 197.17/34.09           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 197.17/34.09             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.17/34.09             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 197.17/34.09           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.17/34.09           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.17/34.09           $i(all_57_7) & $i(all_57_10))
% 197.17/34.09    (5)   ~ (all_52_6 = e1)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (4) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (6)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.17/34.09  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.17/34.09  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (6) implies:
% 197.17/34.09  | |   (7)  op(e1, e2) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1970.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (8)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.17/34.09  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.17/34.09  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.17/34.09  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.17/34.09  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.17/34.09  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.17/34.09  | | 
% 197.17/34.09  | | BETA: splitting (8) gives:
% 197.17/34.09  | | 
% 197.17/34.09  | | Case 1:
% 197.17/34.09  | | | 
% 197.17/34.09  | | |   (9)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.17/34.09  | | |          = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.17/34.09  | | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 197.17/34.09  | | | 
% 197.17/34.09  | | | ALPHA: (9) implies:
% 197.17/34.09  | | |   (10)  op(e1, e2) = e1
% 197.17/34.09  | | | 
% 197.17/34.09  | | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1970.
% 197.17/34.09  | | | 
% 197.17/34.09  | | Case 2:
% 197.17/34.09  | | | 
% 197.17/34.09  | | |   (11)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.17/34.09  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.17/34.09  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.17/34.09  | | |         $i(all_57_10)
% 197.17/34.09  | | | 
% 197.17/34.09  | | | ALPHA: (11) implies:
% 197.17/34.09  | | |   (12)   ~ (all_57_10 = e1)
% 197.17/34.09  | | |   (13)  op(e3, e3) = all_57_10
% 197.17/34.09  | | | 
% 197.17/34.09  | | | REF_CLOSE: (2), (3), (12), (13) are inconsistent by sub-proof #1319.
% 197.17/34.09  | | | 
% 197.17/34.09  | | End of split
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1319 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (2)  op(e3, e3) = all_57_10
% 197.17/34.09    (3)  op(e3, e3) = e1
% 197.17/34.09    (4)   ~ (all_57_10 = e1)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | GROUND_INST: instantiating (1) with e1, all_57_10, e3, e3, simplifying with
% 197.17/34.09  |              (2), (3) gives:
% 197.17/34.09  |   (5)  all_57_10 = e1
% 197.17/34.09  | 
% 197.17/34.09  | REDUCE: (4), (5) imply:
% 197.17/34.09  |   (6)  $false
% 197.17/34.09  | 
% 197.17/34.09  | CLOSE: (6) is inconsistent.
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1320 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)   ~ (all_52_7 = e0)
% 197.17/34.09    (2)  all_54_13 = all_52_7
% 197.17/34.09    (3)   ~ (all_52_7 = e1)
% 197.17/34.09    (4)  all_14_2 = e2
% 197.17/34.09    (5)   ~ (all_52_7 = all_14_2)
% 197.17/34.09    (6)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 197.17/34.09    (7)   ~ (all_52_7 = e3)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | REDUCE: (4), (5) imply:
% 197.17/34.09  |   (8)   ~ (all_52_7 = e2)
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (6) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (9)  all_54_13 = e3
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (2), (7), (9) are inconsistent by sub-proof #1445.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (10)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (2), (3), (8), (10) are inconsistent by sub-proof #1651.
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1321 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)   ~ (all_52_3 = e1)
% 197.17/34.09    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (3)  op(e0, e3) = all_52_3
% 197.17/34.09    (4)   ~ (all_52_7 = e1)
% 197.17/34.09    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.17/34.09    (6)  op(e0, e2) = all_52_7
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (5) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (7)  all_56_12 = e1 & op(e0, e3) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (7) implies:
% 197.17/34.09  | |   (8)  op(e0, e3) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1950.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (9)  all_56_13 = e1 & op(e0, e2) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (9) implies:
% 197.17/34.09  | |   (10)  op(e0, e2) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1649.
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1322 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)  op(e1, e3) = all_52_2
% 197.17/34.09    (2)  op(e1, e2) = all_52_6
% 197.17/34.09    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 197.17/34.09    (5)   ~ (all_52_2 = e1)
% 197.17/34.09    (6)   ~ (all_52_6 = e1)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (4) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (7)  all_56_6 = e1 & op(e1, e3) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (7) implies:
% 197.17/34.09  | |   (8)  op(e1, e3) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1974.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (9)  all_56_7 = e1 & op(e1, e2) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (9) implies:
% 197.17/34.09  | |   (10)  op(e1, e2) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1970.
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1323 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)  op(e0, e0) = all_14_2
% 197.17/34.09    (2)   ~ (all_14_2 = e1)
% 197.17/34.09    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (4)  all_56_15 = e3 & op(e0, e0) = e3
% 197.17/34.09    (5)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.17/34.09    (6)   ~ (all_14_2 = e3)
% 197.17/34.09    (7)   ~ (all_14_2 = e2)
% 197.17/34.09    (8)  all_54_15 = all_14_2
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | ALPHA: (4) implies:
% 197.17/34.09  |   (9)  op(e0, e0) = e3
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (5) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (10)  all_54_15 = e2
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (7), (8), (10) are inconsistent by sub-proof #1648.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (11)  all_54_15 = e1 | all_54_15 = e0
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (2), (3), (6), (8), (9), (11) are inconsistent by sub-proof
% 197.17/34.09  | |            #1647.
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1324 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)  all_54_3 = all_52_12
% 197.17/34.09    (2)  all_54_3 = e0
% 197.17/34.09    (3)   ~ (all_52_12 = e0)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.09  |   (4)  all_52_12 = e0
% 197.17/34.09  | 
% 197.17/34.09  | SIMP: (4) implies:
% 197.17/34.09  |   (5)  all_52_12 = e0
% 197.17/34.09  | 
% 197.17/34.09  | REDUCE: (3), (5) imply:
% 197.17/34.09  |   (6)  $false
% 197.17/34.09  | 
% 197.17/34.09  | CLOSE: (6) is inconsistent.
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1325 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (2)  op(e1, e3) = e1
% 197.17/34.09    (3)  (all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.17/34.09           all_57_1 & $i(all_57_1))
% 197.17/34.09    (4)  op(e1, e1) = e0
% 197.17/34.09    (5)   ~ (e3 = e0)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (3) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (6)  all_57_14 = e3 & op(e1, e1) = e3
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (6) implies:
% 197.17/34.09  | |   (7)  op(e1, e1) = e3
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1824.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (8)   ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1)
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (8) implies:
% 197.17/34.09  | |   (9)   ~ (all_57_1 = e1)
% 197.17/34.09  | |   (10)  op(e1, e3) = all_57_1
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (2), (9), (10) are inconsistent by sub-proof #1326.
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1326 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (2)  op(e1, e3) = all_57_1
% 197.17/34.09    (3)  op(e1, e3) = e1
% 197.17/34.09    (4)   ~ (all_57_1 = e1)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | GROUND_INST: instantiating (1) with e1, all_57_1, e3, e1, simplifying with
% 197.17/34.09  |              (2), (3) gives:
% 197.17/34.09  |   (5)  all_57_1 = e1
% 197.17/34.09  | 
% 197.17/34.09  | REDUCE: (4), (5) imply:
% 197.17/34.09  |   (6)  $false
% 197.17/34.09  | 
% 197.17/34.09  | CLOSE: (6) is inconsistent.
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1327 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.17/34.09         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.17/34.09    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.09         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.17/34.09    (3)   ~ (e3 = e2)
% 197.17/34.09    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (5)  all_56_13 = e3
% 197.17/34.09    (6)  op(e3, e2) = all_52_4
% 197.17/34.09    (7)  op(e2, e2) = all_4_2
% 197.17/34.09    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.17/34.09         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.17/34.09    (9)  (all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.17/34.09           all_57_11 & $i(all_57_11))
% 197.17/34.09    (10)  all_56_1 = e0
% 197.17/34.09    (11)   ~ (all_4_2 = e3)
% 197.17/34.09    (12)   ~ (e1 = e0)
% 197.17/34.09    (13)   ~ (all_52_4 = e1)
% 197.17/34.09    (14)   ~ (e2 = e1)
% 197.17/34.09    (15)  all_57_11 = e2
% 197.17/34.09    (16)   ~ (e3 = e1)
% 197.17/34.09    (17)   ~ (e2 = e0)
% 197.17/34.09    (18)   ~ (e3 = e0)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (9) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (19)  all_57_12 = e0 & op(e2, e2) = e0
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (19) implies:
% 197.17/34.09  | |   (20)  op(e2, e2) = e0
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 197.17/34.09  | |            (14), (16), (17), (18), (20) are inconsistent by sub-proof #1901.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (21)   ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (21) implies:
% 197.17/34.09  | |   (22)   ~ (all_57_11 = e2)
% 197.17/34.09  | | 
% 197.17/34.09  | | REDUCE: (15), (22) imply:
% 197.17/34.09  | |   (23)  $false
% 197.17/34.09  | | 
% 197.17/34.09  | | CLOSE: (23) is inconsistent.
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1328 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (2)  op(e0, e3) = all_52_3
% 197.17/34.09    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.17/34.09           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.17/34.09           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.17/34.09                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.17/34.09               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.17/34.09               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.17/34.09           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.17/34.09           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.17/34.09             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.17/34.09           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.17/34.09               = all_57_1 & $i(all_57_1))))
% 197.17/34.09    (4)  op(e3, e3) = e3
% 197.17/34.09    (5)   ~ (all_52_3 = e0)
% 197.17/34.09    (6)   ~ (e3 = e0)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (3) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.17/34.09  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.17/34.09  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 197.17/34.09  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 197.17/34.09  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.17/34.09  | |            all_57_13 & $i(all_57_13)))
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (7) implies:
% 197.17/34.09  | |   (8)  op(e3, e3) = e0
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1961.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 197.17/34.09  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.17/34.09  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.17/34.09  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.17/34.09  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 197.17/34.09  | |            & $i(all_57_1)))
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (9) implies:
% 197.17/34.09  | |   (10)  op(e0, e3) = e0
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1935.
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1329 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (2)   ~ (all_52_8 = e1)
% 197.17/34.09    (3)  op(e3, e3) = e3
% 197.17/34.09    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.17/34.09           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.17/34.09           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 197.17/34.09                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.17/34.09               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.17/34.09               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.17/34.09           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 197.17/34.09           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.17/34.09               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.17/34.09           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.17/34.09               = all_57_2 & $i(all_57_2))))
% 197.17/34.09    (5)  op(e3, e1) = all_52_8
% 197.17/34.09    (6)   ~ (e3 = e1)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (4) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.17/34.09  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.17/34.09  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 197.17/34.09  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 197.17/34.09  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.17/34.09  | |            & $i(all_57_8)))
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (7) implies:
% 197.17/34.09  | |   (8)  op(e3, e3) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1966.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 197.17/34.09  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.17/34.09  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.17/34.09  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.17/34.09  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 197.17/34.09  | |            & $i(all_57_2)))
% 197.17/34.09  | | 
% 197.17/34.09  | | ALPHA: (9) implies:
% 197.17/34.09  | |   (10)  op(e3, e1) = e1
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1880.
% 197.17/34.09  | | 
% 197.17/34.09  | End of split
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1330 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)  all_54_3 = all_52_12
% 197.17/34.09    (2)  all_54_3 = e3
% 197.17/34.09    (3)   ~ (all_52_12 = e3)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.09  |   (4)  all_52_12 = e3
% 197.17/34.09  | 
% 197.17/34.09  | SIMP: (4) implies:
% 197.17/34.09  |   (5)  all_52_12 = e3
% 197.17/34.09  | 
% 197.17/34.09  | REDUCE: (3), (5) imply:
% 197.17/34.09  |   (6)  $false
% 197.17/34.09  | 
% 197.17/34.09  | CLOSE: (6) is inconsistent.
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1331 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)  all_56_6 = e2 & op(e1, e3) = e2
% 197.17/34.09    (2)  all_56_6 = e1
% 197.17/34.09    (3)   ~ (e2 = e1)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | ALPHA: (1) implies:
% 197.17/34.09  |   (4)  all_56_6 = e2
% 197.17/34.09  | 
% 197.17/34.09  | COMBINE_EQS: (2), (4) imply:
% 197.17/34.09  |   (5)  e2 = e1
% 197.17/34.09  | 
% 197.17/34.09  | REDUCE: (3), (5) imply:
% 197.17/34.09  |   (6)  $false
% 197.17/34.09  | 
% 197.17/34.09  | CLOSE: (6) is inconsistent.
% 197.17/34.09  | 
% 197.17/34.09  End of proof
% 197.17/34.09  
% 197.17/34.09  Sub-proof #1332 shows that the following formulas are inconsistent:
% 197.17/34.09  ----------------------------------------------------------------
% 197.17/34.09    (1)  op(e1, e3) = all_52_2
% 197.17/34.09    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.17/34.09         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.17/34.09    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.17/34.09         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.17/34.09    (4)   ~ (all_52_2 = e0)
% 197.17/34.09    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.17/34.09         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.17/34.09    (6)   ~ (e3 = e2)
% 197.17/34.09    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.09    (8)  all_56_12 = e3
% 197.17/34.09    (9)  op(e3, e3) = e3
% 197.17/34.09    (10)   ~ (e1 = e0)
% 197.17/34.09    (11)   ~ (e2 = e1)
% 197.17/34.09    (12)   ~ (e3 = e1)
% 197.17/34.09    (13)   ~ (e2 = e0)
% 197.17/34.09    (14)   ~ (e3 = e0)
% 197.17/34.09  
% 197.17/34.09  Begin of proof
% 197.17/34.09  | 
% 197.17/34.09  | BETA: splitting (3) gives:
% 197.17/34.09  | 
% 197.17/34.09  | Case 1:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 197.17/34.09  | |           e0)
% 197.17/34.09  | | 
% 197.17/34.09  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 197.17/34.09  | |            (15) are inconsistent by sub-proof #1535.
% 197.17/34.09  | | 
% 197.17/34.09  | Case 2:
% 197.17/34.09  | | 
% 197.17/34.09  | |   (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 197.17/34.09  | |           e0)
% 197.17/34.09  | | 
% 197.17/34.09  | | BETA: splitting (16) gives:
% 197.17/34.09  | | 
% 197.17/34.09  | | Case 1:
% 197.17/34.09  | | | 
% 197.17/34.09  | | |   (17)  all_56_6 = e0 & op(e1, e3) = e0
% 197.17/34.09  | | | 
% 197.17/34.09  | | | REF_CLOSE: (1), (4), (7), (17) are inconsistent by sub-proof #1768.
% 197.17/34.09  | | | 
% 197.17/34.09  | | Case 2:
% 197.17/34.09  | | | 
% 197.17/34.10  | | |   (18)  all_56_12 = e0 & op(e0, e3) = e0
% 197.17/34.10  | | | 
% 197.17/34.10  | | | REF_CLOSE: (8), (14), (18) are inconsistent by sub-proof #1846.
% 197.17/34.10  | | | 
% 197.17/34.10  | | End of split
% 197.17/34.10  | | 
% 197.17/34.10  | End of split
% 197.17/34.10  | 
% 197.17/34.10  End of proof
% 197.17/34.10  
% 197.17/34.10  Sub-proof #1333 shows that the following formulas are inconsistent:
% 197.17/34.10  ----------------------------------------------------------------
% 197.17/34.10    (1)   ~ (all_52_4 = e3)
% 197.17/34.10    (2)  op(e1, e2) = all_52_6
% 197.17/34.10    (3)   ~ (all_52_14 = e0)
% 197.17/34.10    (4)  op(e0, e0) = all_14_2
% 197.17/34.10    (5)  all_56_10 = e3 & op(e2, e0) = e3
% 197.17/34.10    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.17/34.10         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.17/34.10    (7)   ~ (all_14_2 = e1)
% 197.17/34.10    (8)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.17/34.10         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.17/34.10    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.17/34.10         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.17/34.10    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.17/34.10          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.17/34.10    (11)   ~ (e3 = e2)
% 197.17/34.10    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.10            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.10    (13)  op(e3, e2) = all_52_4
% 197.17/34.10    (14)  op(e2, e2) = e1
% 197.17/34.10    (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.17/34.10          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.17/34.10    (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.17/34.10          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.17/34.10    (17)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 197.17/34.10    (18)   ~ (all_52_14 = e2)
% 197.17/34.10    (19)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.17/34.10          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.17/34.10    (20)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.17/34.10          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.17/34.10    (21)  all_56_9 = e1
% 197.17/34.10    (22)  op(e0, e1) = all_52_11
% 197.17/34.10    (23)  op(e3, e3) = e3
% 197.17/34.10    (24)   ~ (all_52_12 = e3)
% 197.17/34.10    (25)   ~ (all_52_6 = all_52_14)
% 197.17/34.10    (26)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.17/34.10    (27)   ~ (all_52_14 = e1)
% 197.17/34.10    (28)  op(e1, e1) = e0
% 197.17/34.10    (29)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.17/34.10          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.17/34.10    (30)   ~ (all_14_2 = e2)
% 197.17/34.10    (31)  all_54_15 = all_14_2
% 197.17/34.10    (32)  all_54_11 = all_52_14
% 197.17/34.10    (33)   ~ (e1 = e0)
% 197.17/34.10    (34)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 197.17/34.10          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.17/34.10    (35)  all_56_6 = e1
% 197.17/34.10    (36)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.17/34.10          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.17/34.10    (37)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.17/34.10              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.17/34.10                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.17/34.10                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.17/34.10    (38)   ~ (e2 = e1)
% 197.17/34.10    (39)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.17/34.10          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.17/34.10    (40)   ~ (all_52_11 = e0)
% 197.17/34.10    (41)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 197.17/34.10          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 197.17/34.10    (42)  op(e3, e0) = all_52_12
% 197.17/34.10    (43)   ~ (e3 = e1)
% 197.17/34.10    (44)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.17/34.10          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.17/34.10    (45)   ~ (all_52_6 = e1)
% 197.17/34.10    (46)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.17/34.10          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.17/34.10    (47)   ~ (e2 = e0)
% 197.17/34.10    (48)   ~ (e3 = e0)
% 197.17/34.10  
% 197.17/34.10  Begin of proof
% 197.17/34.10  | 
% 197.17/34.10  | ALPHA: (5) implies:
% 197.17/34.10  |   (49)  all_56_10 = e3
% 197.17/34.10  | 
% 197.17/34.10  | BETA: splitting (46) gives:
% 197.17/34.10  | 
% 197.17/34.10  | Case 1:
% 197.17/34.10  | | 
% 197.17/34.10  | |   (50)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 197.17/34.10  | |           e3)
% 197.17/34.10  | | 
% 197.17/34.10  | | BETA: splitting (50) gives:
% 197.17/34.10  | | 
% 197.17/34.10  | | Case 1:
% 197.17/34.10  | | | 
% 197.17/34.10  | | |   (51)  all_56_6 = e3 & op(e1, e3) = e3
% 197.17/34.10  | | | 
% 197.17/34.10  | | | ALPHA: (51) implies:
% 197.17/34.10  | | |   (52)  all_56_6 = e3
% 197.17/34.10  | | | 
% 197.17/34.10  | | | BETA: splitting (20) gives:
% 197.17/34.10  | | | 
% 197.17/34.10  | | | Case 1:
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | |   (53)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2)
% 197.17/34.10  | | | |           = e1)
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | REF_CLOSE: (2), (12), (43), (45), (52), (53) are inconsistent by
% 197.17/34.10  | | | |            sub-proof #1349.
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | Case 2:
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | |   (54)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0)
% 197.17/34.10  | | | |           = e1)
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | BETA: splitting (54) gives:
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | Case 1:
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | |   (55)  all_56_8 = e1 & op(e1, e1) = e1
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | | ALPHA: (55) implies:
% 197.17/34.10  | | | | |   (56)  op(e1, e1) = e1
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | | REF_CLOSE: (12), (28), (33), (56) are inconsistent by sub-proof #1959.
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | Case 2:
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | |   (57)  all_56_11 = e1 & op(e1, e0) = e1
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | | ALPHA: (57) implies:
% 197.17/34.10  | | | | |   (58)  all_56_11 = e1
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | | BETA: splitting (34) gives:
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | | Case 1:
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | |   (59)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2,
% 197.17/34.10  | | | | | |             e0) = e3)
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | | BETA: splitting (59) gives:
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | | Case 1:
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | |   (60)  all_56_9 = e3 & op(e3, e0) = e3
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | ALPHA: (60) implies:
% 197.17/34.10  | | | | | | |   (61)  op(e3, e0) = e3
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | REF_CLOSE: (12), (24), (42), (61) are inconsistent by sub-proof
% 197.17/34.10  | | | | | | |            #1964.
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | Case 2:
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | BETA: splitting (8) gives:
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | |   (62)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 &
% 197.17/34.10  | | | | | | | |           op(e2, e2) = e0)
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | BETA: splitting (62) gives:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | |   (63)  all_56_2 = e0 & op(e2, e3) = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | ALPHA: (63) implies:
% 197.17/34.10  | | | | | | | | |   (64)  all_56_2 = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | REF_CLOSE: (6), (9), (10), (11), (12), (23), (33), (38), (43),
% 197.17/34.10  | | | | | | | | |            (47), (48), (52), (64) are inconsistent by
% 197.17/34.10  | | | | | | | | |            sub-proof #1348.
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | |   (65)  all_56_3 = e0 & op(e2, e2) = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | ALPHA: (65) implies:
% 197.17/34.10  | | | | | | | | |   (66)  op(e2, e2) = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | REF_CLOSE: (12), (14), (33), (66) are inconsistent by
% 197.17/34.10  | | | | | | | | |            sub-proof #1909.
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | |   (67)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 197.17/34.10  | | | | | | | |           op(e2, e0) = e0)
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | BETA: splitting (67) gives:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | |   (68)  all_56_5 = e0 & op(e2, e1) = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | ALPHA: (68) implies:
% 197.17/34.10  | | | | | | | | |   (69)  all_56_5 = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | REF_CLOSE: (11), (12), (15), (16), (28), (33), (36), (38),
% 197.17/34.10  | | | | | | | | |            (43), (47), (48), (69) are inconsistent by
% 197.17/34.10  | | | | | | | | |            sub-proof #1551.
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | |   (70)  all_56_10 = e0 & op(e2, e0) = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | ALPHA: (70) implies:
% 197.17/34.10  | | | | | | | | |   (71)  all_56_10 = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | COMBINE_EQS: (49), (71) imply:
% 197.17/34.10  | | | | | | | | |   (72)  e3 = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | SIMP: (72) implies:
% 197.17/34.10  | | | | | | | | |   (73)  e3 = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | COMBINE_EQS: (52), (73) imply:
% 197.17/34.10  | | | | | | | | |   (74)  all_56_6 = e0
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | REF_CLOSE: (11), (12), (28), (38), (43), (44), (46), (47),
% 197.17/34.10  | | | | | | | | |            (48), (58), (74) are inconsistent by sub-proof
% 197.17/34.10  | | | | | | | | |            #1575.
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | End of split
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | End of split
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | Case 2:
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | |   (75)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 197.17/34.10  | | | | | |           op(e0, e0) = e3)
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | | BETA: splitting (75) gives:
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | | Case 1:
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | |   (76)  all_56_11 = e3 & op(e1, e0) = e3
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | REF_CLOSE: (43), (58), (76) are inconsistent by sub-proof #1607.
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | Case 2:
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | |   (77)  all_56_15 = e3 & op(e0, e0) = e3
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | ALPHA: (77) implies:
% 197.17/34.10  | | | | | | |   (78)  all_56_15 = e3
% 197.17/34.10  | | | | | | |   (79)  op(e0, e0) = e3
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | BETA: splitting (10) gives:
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | |   (80)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 &
% 197.17/34.10  | | | | | | | |           op(e2, e3) = e1)
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | BETA: splitting (80) gives:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | |   (81)  all_56_0 = e1 & op(e3, e3) = e1
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | ALPHA: (81) implies:
% 197.17/34.10  | | | | | | | | |   (82)  op(e3, e3) = e1
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | REF_CLOSE: (12), (23), (43), (82) are inconsistent by
% 197.17/34.10  | | | | | | | | |            sub-proof #1966.
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | |   (83)  all_56_2 = e1 & op(e2, e3) = e1
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | ALPHA: (83) implies:
% 197.17/34.10  | | | | | | | | |   (84)  all_56_2 = e1
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | BETA: splitting (8) gives:
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | |   (85)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 &
% 197.17/34.10  | | | | | | | | | |           op(e2, e2) = e0)
% 197.17/34.10  | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | BETA: splitting (85) gives:
% 197.17/34.10  | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | |   (86)  all_56_2 = e0 & op(e2, e3) = e0
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | ALPHA: (86) implies:
% 197.17/34.10  | | | | | | | | | | |   (87)  all_56_2 = e0
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | REF_CLOSE: (33), (84), (87) are inconsistent by sub-proof
% 197.17/34.10  | | | | | | | | | | |            #1713.
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | |   (88)  all_56_3 = e0 & op(e2, e2) = e0
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | ALPHA: (88) implies:
% 197.17/34.10  | | | | | | | | | | |   (89)  op(e2, e2) = e0
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | REF_CLOSE: (12), (14), (33), (89) are inconsistent by
% 197.17/34.10  | | | | | | | | | | |            sub-proof #1909.
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | |   (90)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0
% 197.17/34.10  | | | | | | | | | |           & op(e2, e0) = e0)
% 197.17/34.10  | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | BETA: splitting (90) gives:
% 197.17/34.10  | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | |   (91)  all_56_5 = e0 & op(e2, e1) = e0
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | ALPHA: (91) implies:
% 197.17/34.10  | | | | | | | | | | |   (92)  all_56_5 = e0
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | REF_CLOSE: (11), (12), (15), (16), (28), (33), (36), (38),
% 197.17/34.10  | | | | | | | | | | |            (43), (47), (48), (92) are inconsistent by
% 197.17/34.10  | | | | | | | | | | |            sub-proof #1551.
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | |   (93)  all_56_10 = e0 & op(e2, e0) = e0
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | ALPHA: (93) implies:
% 197.17/34.10  | | | | | | | | | | |   (94)  all_56_10 = e0
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | BETA: splitting (19) gives:
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | |   (95)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.17/34.10  | | | | | | | | | | | |           & op(e2, e2) = e3)
% 197.17/34.10  | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | REF_CLOSE: (1), (12), (13), (14), (43), (95) are inconsistent
% 197.17/34.10  | | | | | | | | | | | |            by sub-proof #1347.
% 197.17/34.10  | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | |   (96)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 197.17/34.10  | | | | | | | | | | | |           e3 & op(e0, e2) = e3)
% 197.17/34.10  | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | BETA: splitting (96) gives:
% 197.17/34.10  | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | |   (97)  all_56_7 = e3 & op(e1, e2) = e3
% 197.17/34.10  | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | ALPHA: (97) implies:
% 197.17/34.10  | | | | | | | | | | | | |   (98)  all_56_7 = e3
% 197.17/34.10  | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | REF_CLOSE: (11), (12), (20), (28), (33), (38), (43), (44),
% 197.17/34.10  | | | | | | | | | | | | |            (46), (47), (48), (52), (98) are inconsistent by
% 197.17/34.10  | | | | | | | | | | | | |            sub-proof #1346.
% 197.17/34.10  | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | |   (99)  all_56_13 = e3 & op(e0, e2) = e3
% 197.17/34.10  | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | ALPHA: (99) implies:
% 197.17/34.10  | | | | | | | | | | | | |   (100)  all_56_13 = e3
% 197.17/34.10  | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | BETA: splitting (37) gives:
% 197.17/34.10  | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | |   (101)  all_56_15 = e0 & op(e0, e0) = e0
% 197.17/34.10  | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | ALPHA: (101) implies:
% 197.17/34.10  | | | | | | | | | | | | | |   (102)  op(e0, e0) = e0
% 197.17/34.10  | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | REF_CLOSE: (12), (48), (79), (102) are inconsistent by
% 197.17/34.10  | | | | | | | | | | | | | |            sub-proof #1947.
% 197.17/34.10  | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | |   (103)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 197.17/34.10  | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 197.17/34.10  | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 197.17/34.10  | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.17/34.10  | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 197.17/34.10  | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | ALPHA: (103) implies:
% 197.17/34.10  | | | | | | | | | | | | | |   (104)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 197.17/34.10  | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 197.17/34.10  | | | | | | | | | | | | | |              e1) = e0)
% 197.17/34.10  | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 197.17/34.10  | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | |   (105)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 197.17/34.10  | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 197.17/34.10  | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 197.17/34.10  | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | |   (106)  all_56_2 = e3 & op(e2, e3) = e3
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | ALPHA: (106) implies:
% 197.17/34.10  | | | | | | | | | | | | | | | |   (107)  all_56_2 = e3
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | |   (108)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 197.17/34.10  | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 197.17/34.10  | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (23), (107), (108) are inconsistent by
% 197.17/34.10  | | | | | | | | | | | | | | | | |            sub-proof #1727.
% 197.17/34.10  | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | |   (109)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 197.17/34.10  | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 197.17/34.10  | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 197.17/34.10  | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | |   (110)  all_56_6 = e2 & op(e1, e3) = e2
% 197.17/34.10  | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (52), (110) are inconsistent by sub-proof
% 197.17/34.10  | | | | | | | | | | | | | | | | | |            #1853.
% 197.17/34.10  | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | |   (111)  all_56_12 = e2 & op(e0, e3) = e2
% 197.17/34.10  | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | ALPHA: (111) implies:
% 197.17/34.10  | | | | | | | | | | | | | | | | | |   (112)  all_56_12 = e2
% 197.17/34.10  | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | |   (113)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.17/34.10  | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (14), (38), (107), (113) are
% 197.17/34.10  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1345.
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | |   (114)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.17/34.10  | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | |   (115)  all_56_5 = e2 & op(e2, e1) = e2
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | ALPHA: (115) implies:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | |   (116)  all_56_5 = e2
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | |   (117)  all_56_15 = e0 & op(e0, e0) = e0
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (78), (117) are inconsistent by sub-proof
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | |            #1344.
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | |   (118)  all_56_12 = e0 & op(e0, e3) = e0
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (118) implies:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | |   (119)  all_56_12 = e0
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (112), (119) imply:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | |   (120)  e2 = e0
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (120) imply:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | |   (121)  all_56_5 = e0
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (15), (16), (28), (33), (36), (38),
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | |            (43), (47), (48), (121) are inconsistent by
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1551.
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | |   (122)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (22), (40), (48), (100), (122) are
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1343.
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | |   (123)  all_56_10 = e2 & op(e2, e0) = e2
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | ALPHA: (123) implies:
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | |   (124)  all_56_10 = e2
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (94), (124) are inconsistent by sub-proof
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | |            #1342.
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | |   (125)  all_56_3 = e3 & op(e2, e2) = e3
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | ALPHA: (125) implies:
% 197.17/34.10  | | | | | | | | | | | | | | | |   (126)  op(e2, e2) = e3
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (43), (126) are inconsistent by
% 197.17/34.10  | | | | | | | | | | | | | | | |            sub-proof #1679.
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | |   (127)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 197.17/34.10  | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 197.17/34.10  | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 197.17/34.10  | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | |   (128)  all_56_5 = e3 & op(e2, e1) = e3
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | ALPHA: (128) implies:
% 197.17/34.10  | | | | | | | | | | | | | | | |   (129)  all_56_5 = e3
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (11), (12), (15), (16), (22), (23),
% 197.17/34.10  | | | | | | | | | | | | | | | |            (28), (33), (36), (38), (40), (43), (47), (48),
% 197.17/34.10  | | | | | | | | | | | | | | | |            (52), (100), (104), (129) are inconsistent by
% 197.17/34.10  | | | | | | | | | | | | | | | |            sub-proof #1340.
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | COMBINE_EQS: (49), (94) imply:
% 197.17/34.10  | | | | | | | | | | | | | | | |   (130)  e3 = e0
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (130) imply:
% 197.17/34.10  | | | | | | | | | | | | | | | |   (131)  all_56_6 = e0
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (28), (38), (43), (44), (46), (47),
% 197.17/34.10  | | | | | | | | | | | | | | | |            (48), (58), (131) are inconsistent by sub-proof
% 197.17/34.10  | | | | | | | | | | | | | | | |            #1575.
% 197.17/34.10  | | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | |   (132)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 &
% 197.17/34.10  | | | | | | | |            op(e0, e3) = e1)
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | BETA: splitting (132) gives:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | |   (133)  all_56_6 = e1 & op(e1, e3) = e1
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | REF_CLOSE: (43), (52), (133) are inconsistent by sub-proof
% 197.17/34.10  | | | | | | | | |            #1569.
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | |   (134)  all_56_12 = e1 & op(e0, e3) = e1
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | ALPHA: (134) implies:
% 197.17/34.10  | | | | | | | | |   (135)  all_56_12 = e1
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | | REF_CLOSE: (6), (9), (10), (11), (12), (23), (33), (38), (43),
% 197.17/34.10  | | | | | | | | |            (47), (48), (52), (135) are inconsistent by
% 197.17/34.10  | | | | | | | | |            sub-proof #1542.
% 197.17/34.10  | | | | | | | | | 
% 197.17/34.10  | | | | | | | | End of split
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | End of split
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | End of split
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | End of split
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | End of split
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | End of split
% 197.17/34.10  | | | 
% 197.17/34.10  | | Case 2:
% 197.17/34.10  | | | 
% 197.17/34.10  | | |   (136)  all_56_7 = e3 & op(e1, e2) = e3
% 197.17/34.10  | | | 
% 197.17/34.10  | | | ALPHA: (136) implies:
% 197.17/34.10  | | |   (137)  op(e1, e2) = e3
% 197.17/34.10  | | | 
% 197.17/34.10  | | | BETA: splitting (17) gives:
% 197.17/34.10  | | | 
% 197.17/34.10  | | | Case 1:
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | |   (138)  all_54_11 = e3
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | COMBINE_EQS: (32), (138) imply:
% 197.17/34.10  | | | |   (139)  all_52_14 = e3
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | SIMP: (139) implies:
% 197.17/34.10  | | | |   (140)  all_52_14 = e3
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | REDUCE: (25), (140) imply:
% 197.17/34.10  | | | |   (141)   ~ (all_52_6 = e3)
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | REF_CLOSE: (2), (12), (137), (141) are inconsistent by sub-proof #1408.
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | Case 2:
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | |   (142)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | REF_CLOSE: (3), (18), (27), (32), (142) are inconsistent by sub-proof
% 197.17/34.10  | | | |            #1335.
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | End of split
% 197.17/34.10  | | | 
% 197.17/34.10  | | End of split
% 197.17/34.10  | | 
% 197.17/34.10  | Case 2:
% 197.17/34.10  | | 
% 197.17/34.10  | |   (143)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 197.17/34.10  | |            e3)
% 197.17/34.10  | | 
% 197.17/34.10  | | BETA: splitting (143) gives:
% 197.17/34.10  | | 
% 197.17/34.10  | | Case 1:
% 197.17/34.10  | | | 
% 197.17/34.10  | | |   (144)  all_56_8 = e3 & op(e1, e1) = e3
% 197.17/34.10  | | | 
% 197.17/34.10  | | | ALPHA: (144) implies:
% 197.17/34.10  | | |   (145)  op(e1, e1) = e3
% 197.17/34.10  | | | 
% 197.17/34.10  | | | REF_CLOSE: (12), (28), (48), (145) are inconsistent by sub-proof #1824.
% 197.17/34.10  | | | 
% 197.17/34.10  | | Case 2:
% 197.17/34.10  | | | 
% 197.17/34.10  | | |   (146)  all_56_11 = e3 & op(e1, e0) = e3
% 197.17/34.10  | | | 
% 197.17/34.10  | | | ALPHA: (146) implies:
% 197.17/34.10  | | |   (147)  all_56_11 = e3
% 197.17/34.10  | | | 
% 197.17/34.10  | | | BETA: splitting (44) gives:
% 197.17/34.10  | | | 
% 197.17/34.10  | | | Case 1:
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | |   (148)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2)
% 197.17/34.10  | | | |            = e2)
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | BETA: splitting (148) gives:
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | Case 1:
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | |   (149)  all_56_6 = e2 & op(e1, e3) = e2
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | | ALPHA: (149) implies:
% 197.17/34.10  | | | | |   (150)  all_56_6 = e2
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | | REF_CLOSE: (35), (38), (150) are inconsistent by sub-proof #1779.
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | Case 2:
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | |   (151)  all_56_7 = e2 & op(e1, e2) = e2
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | | ALPHA: (151) implies:
% 197.17/34.10  | | | | |   (152)  all_56_7 = e2
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | | BETA: splitting (26) gives:
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | | Case 1:
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | |   (153)  all_54_15 = e2
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | | REF_CLOSE: (30), (31), (153) are inconsistent by sub-proof #1648.
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | Case 2:
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | |   (154)   ~ (all_54_15 = e2)
% 197.17/34.10  | | | | | |   (155)  all_54_15 = e1 | all_54_15 = e0
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | | BETA: splitting (41) gives:
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | | Case 1:
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | |   (156)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 &
% 197.17/34.10  | | | | | | |            op(e2, e0) = e2)
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | BETA: splitting (156) gives:
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | |   (157)  all_56_9 = e2 & op(e3, e0) = e2
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | ALPHA: (157) implies:
% 197.17/34.10  | | | | | | | |   (158)  all_56_9 = e2
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | COMBINE_EQS: (21), (158) imply:
% 197.17/34.10  | | | | | | | |   (159)  e2 = e1
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | COMBINE_EQS: (152), (159) imply:
% 197.17/34.10  | | | | | | | |   (160)  all_56_7 = e1
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | REF_CLOSE: (11), (12), (28), (35), (38), (43), (44), (46), (47),
% 197.17/34.10  | | | | | | | |            (48), (160) are inconsistent by sub-proof #1616.
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | |   (161)  all_56_10 = e2 & op(e2, e0) = e2
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | ALPHA: (161) implies:
% 197.17/34.10  | | | | | | | |   (162)  all_56_10 = e2
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | REF_CLOSE: (11), (49), (162) are inconsistent by sub-proof
% 197.17/34.10  | | | | | | | |            #1399.
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | End of split
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | Case 2:
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | |   (163)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 197.17/34.10  | | | | | | |            op(e0, e0) = e2)
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | BETA: splitting (163) gives:
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | | Case 1:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | |   (164)  all_56_11 = e2 & op(e1, e0) = e2
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | ALPHA: (164) implies:
% 197.17/34.10  | | | | | | | |   (165)  all_56_11 = e2
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | REF_CLOSE: (11), (147), (165) are inconsistent by sub-proof
% 197.17/34.10  | | | | | | | |            #1619.
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | Case 2:
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | |   (166)  all_56_15 = e2 & op(e0, e0) = e2
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | ALPHA: (166) implies:
% 197.17/34.10  | | | | | | | |   (167)  op(e0, e0) = e2
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | | REF_CLOSE: (4), (7), (12), (30), (31), (155), (167) are
% 197.17/34.10  | | | | | | | |            inconsistent by sub-proof #1645.
% 197.17/34.10  | | | | | | | | 
% 197.17/34.10  | | | | | | | End of split
% 197.17/34.10  | | | | | | | 
% 197.17/34.10  | | | | | | End of split
% 197.17/34.10  | | | | | | 
% 197.17/34.10  | | | | | End of split
% 197.17/34.10  | | | | | 
% 197.17/34.10  | | | | End of split
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | Case 2:
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | |   (168)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1,
% 197.17/34.10  | | | |              e0) = e2)
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | | REF_CLOSE: (11), (12), (28), (47), (147), (168) are inconsistent by
% 197.17/34.10  | | | |            sub-proof #1334.
% 197.17/34.10  | | | | 
% 197.17/34.10  | | | End of split
% 197.17/34.10  | | | 
% 197.17/34.10  | | End of split
% 197.17/34.10  | | 
% 197.17/34.10  | End of split
% 197.17/34.10  | 
% 197.17/34.10  End of proof
% 197.17/34.10  
% 197.17/34.10  Sub-proof #1334 shows that the following formulas are inconsistent:
% 197.17/34.10  ----------------------------------------------------------------
% 197.17/34.10    (1)   ~ (e3 = e2)
% 197.17/34.10    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.10    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.17/34.10    (4)  all_56_11 = e3
% 197.17/34.10    (5)  op(e1, e1) = e0
% 197.17/34.10    (6)   ~ (e2 = e0)
% 197.17/34.10  
% 197.17/34.10  Begin of proof
% 197.17/34.10  | 
% 197.17/34.10  | BETA: splitting (3) gives:
% 197.17/34.10  | 
% 197.17/34.10  | Case 1:
% 197.17/34.10  | | 
% 197.17/34.10  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 197.17/34.10  | | 
% 197.17/34.10  | | ALPHA: (7) implies:
% 197.17/34.10  | |   (8)  op(e1, e1) = e2
% 197.17/34.10  | | 
% 197.17/34.10  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1821.
% 197.17/34.10  | | 
% 197.17/34.10  | Case 2:
% 197.17/34.10  | | 
% 197.17/34.10  | |   (9)  all_56_11 = e2 & op(e1, e0) = e2
% 197.17/34.10  | | 
% 197.17/34.10  | | ALPHA: (9) implies:
% 197.17/34.10  | |   (10)  all_56_11 = e2
% 197.17/34.10  | | 
% 197.17/34.10  | | REF_CLOSE: (1), (4), (10) are inconsistent by sub-proof #1619.
% 197.17/34.10  | | 
% 197.17/34.10  | End of split
% 197.17/34.10  | 
% 197.17/34.10  End of proof
% 197.17/34.10  
% 197.17/34.10  Sub-proof #1335 shows that the following formulas are inconsistent:
% 197.17/34.10  ----------------------------------------------------------------
% 197.17/34.10    (1)   ~ (all_52_14 = e0)
% 197.17/34.10    (2)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 197.17/34.10    (3)   ~ (all_52_14 = e2)
% 197.17/34.10    (4)   ~ (all_52_14 = e1)
% 197.17/34.10    (5)  all_54_11 = all_52_14
% 197.17/34.10  
% 197.17/34.10  Begin of proof
% 197.17/34.10  | 
% 197.17/34.10  | BETA: splitting (2) gives:
% 197.17/34.10  | 
% 197.17/34.10  | Case 1:
% 197.17/34.10  | | 
% 197.17/34.10  | |   (6)  all_54_11 = e2
% 197.17/34.10  | | 
% 197.17/34.10  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #1339.
% 197.17/34.10  | | 
% 197.17/34.10  | Case 2:
% 197.17/34.10  | | 
% 197.17/34.10  | |   (7)  all_54_11 = e1 | all_54_11 = e0
% 197.17/34.10  | | 
% 197.17/34.10  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1336.
% 197.17/34.10  | | 
% 197.17/34.10  | End of split
% 197.17/34.10  | 
% 197.17/34.10  End of proof
% 197.17/34.10  
% 197.17/34.10  Sub-proof #1336 shows that the following formulas are inconsistent:
% 197.17/34.10  ----------------------------------------------------------------
% 197.17/34.10    (1)  all_54_11 = e1 | all_54_11 = e0
% 197.17/34.10    (2)  all_54_11 = all_52_14
% 197.17/34.10    (3)   ~ (all_52_14 = e1)
% 197.17/34.10    (4)   ~ (all_52_14 = e0)
% 197.17/34.10  
% 197.17/34.10  Begin of proof
% 197.17/34.10  | 
% 197.17/34.10  | BETA: splitting (1) gives:
% 197.17/34.10  | 
% 197.17/34.10  | Case 1:
% 197.17/34.10  | | 
% 197.17/34.10  | |   (5)  all_54_11 = e1
% 197.17/34.10  | | 
% 197.17/34.10  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1338.
% 197.17/34.10  | | 
% 197.17/34.10  | Case 2:
% 197.17/34.10  | | 
% 197.17/34.10  | |   (6)  all_54_11 = e0
% 197.17/34.10  | | 
% 197.17/34.10  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1337.
% 197.17/34.10  | | 
% 197.17/34.10  | End of split
% 197.17/34.10  | 
% 197.17/34.10  End of proof
% 197.17/34.10  
% 197.17/34.10  Sub-proof #1337 shows that the following formulas are inconsistent:
% 197.17/34.10  ----------------------------------------------------------------
% 197.17/34.10    (1)  all_54_11 = all_52_14
% 197.17/34.10    (2)  all_54_11 = e0
% 197.17/34.10    (3)   ~ (all_52_14 = e0)
% 197.17/34.10  
% 197.17/34.10  Begin of proof
% 197.17/34.10  | 
% 197.17/34.10  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.10  |   (4)  all_52_14 = e0
% 197.17/34.10  | 
% 197.17/34.10  | SIMP: (4) implies:
% 197.17/34.10  |   (5)  all_52_14 = e0
% 197.17/34.10  | 
% 197.17/34.10  | REDUCE: (3), (5) imply:
% 197.17/34.10  |   (6)  $false
% 197.17/34.10  | 
% 197.17/34.10  | CLOSE: (6) is inconsistent.
% 197.17/34.10  | 
% 197.17/34.10  End of proof
% 197.17/34.10  
% 197.17/34.10  Sub-proof #1338 shows that the following formulas are inconsistent:
% 197.17/34.10  ----------------------------------------------------------------
% 197.17/34.10    (1)  all_54_11 = all_52_14
% 197.17/34.10    (2)  all_54_11 = e1
% 197.17/34.10    (3)   ~ (all_52_14 = e1)
% 197.17/34.10  
% 197.17/34.10  Begin of proof
% 197.17/34.10  | 
% 197.17/34.10  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.10  |   (4)  all_52_14 = e1
% 197.17/34.10  | 
% 197.17/34.10  | SIMP: (4) implies:
% 197.17/34.10  |   (5)  all_52_14 = e1
% 197.17/34.10  | 
% 197.17/34.10  | REDUCE: (3), (5) imply:
% 197.17/34.10  |   (6)  $false
% 197.17/34.10  | 
% 197.17/34.10  | CLOSE: (6) is inconsistent.
% 197.17/34.10  | 
% 197.17/34.10  End of proof
% 197.17/34.10  
% 197.17/34.10  Sub-proof #1339 shows that the following formulas are inconsistent:
% 197.17/34.10  ----------------------------------------------------------------
% 197.17/34.10    (1)  all_54_11 = all_52_14
% 197.17/34.10    (2)  all_54_11 = e2
% 197.17/34.10    (3)   ~ (all_52_14 = e2)
% 197.17/34.10  
% 197.17/34.10  Begin of proof
% 197.17/34.10  | 
% 197.17/34.10  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.10  |   (4)  all_52_14 = e2
% 197.17/34.10  | 
% 197.17/34.10  | SIMP: (4) implies:
% 197.17/34.10  |   (5)  all_52_14 = e2
% 197.17/34.10  | 
% 197.17/34.10  | REDUCE: (3), (5) imply:
% 197.17/34.10  |   (6)  $false
% 197.17/34.10  | 
% 197.17/34.10  | CLOSE: (6) is inconsistent.
% 197.17/34.10  | 
% 197.17/34.10  End of proof
% 197.17/34.10  
% 197.17/34.10  Sub-proof #1340 shows that the following formulas are inconsistent:
% 197.17/34.10  ----------------------------------------------------------------
% 197.17/34.10    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.17/34.10         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.17/34.10    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.17/34.10         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.17/34.10    (3)   ~ (e3 = e2)
% 197.17/34.11    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.11    (5)  all_56_13 = e3
% 197.17/34.11    (6)  all_56_5 = e3
% 197.17/34.11    (7)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.17/34.11         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.17/34.11    (8)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.17/34.11         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.17/34.11    (9)  op(e0, e1) = all_52_11
% 197.17/34.11    (10)  op(e3, e3) = e3
% 197.17/34.11    (11)  op(e1, e1) = e0
% 197.17/34.11    (12)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.17/34.11          | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.17/34.11    (13)   ~ (e1 = e0)
% 197.17/34.11    (14)  all_56_6 = e3
% 197.17/34.11    (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.17/34.11          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.17/34.11    (16)   ~ (e2 = e1)
% 197.17/34.11    (17)   ~ (all_52_11 = e0)
% 197.17/34.11    (18)   ~ (e3 = e1)
% 197.17/34.11    (19)   ~ (e2 = e0)
% 197.17/34.11    (20)   ~ (e3 = e0)
% 197.17/34.11  
% 197.17/34.11  Begin of proof
% 197.17/34.11  | 
% 197.17/34.11  | BETA: splitting (12) gives:
% 197.17/34.11  | 
% 197.17/34.11  | Case 1:
% 197.17/34.11  | | 
% 197.17/34.11  | |   (21)  all_56_12 = e0 & op(e0, e3) = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | ALPHA: (21) implies:
% 197.17/34.11  | |   (22)  all_56_12 = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | REF_CLOSE: (1), (2), (3), (4), (10), (13), (14), (16), (18), (19), (22) are
% 197.17/34.11  | |            inconsistent by sub-proof #1567.
% 197.17/34.11  | | 
% 197.17/34.11  | Case 2:
% 197.17/34.11  | | 
% 197.17/34.11  | |   (23)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.17/34.11  | |           e0)
% 197.17/34.11  | | 
% 197.17/34.11  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (11), (13), (15), (16), (17),
% 197.17/34.11  | |            (18), (19), (20), (23) are inconsistent by sub-proof #1341.
% 197.17/34.11  | | 
% 197.17/34.11  | End of split
% 197.17/34.11  | 
% 197.17/34.11  End of proof
% 197.17/34.11  
% 197.17/34.11  Sub-proof #1341 shows that the following formulas are inconsistent:
% 197.17/34.11  ----------------------------------------------------------------
% 197.17/34.11    (1)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.17/34.11    (2)   ~ (e3 = e2)
% 197.17/34.11    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.11    (4)  all_56_13 = e3
% 197.17/34.11    (5)  all_56_5 = e3
% 197.17/34.11    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.17/34.11         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.17/34.11    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.17/34.11         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.17/34.11    (8)  op(e0, e1) = all_52_11
% 197.17/34.11    (9)  op(e1, e1) = e0
% 197.17/34.11    (10)   ~ (e1 = e0)
% 197.17/34.11    (11)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.17/34.11          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.17/34.11    (12)   ~ (e2 = e1)
% 197.17/34.11    (13)   ~ (all_52_11 = e0)
% 197.17/34.11    (14)   ~ (e3 = e1)
% 197.17/34.11    (15)   ~ (e2 = e0)
% 197.17/34.11    (16)   ~ (e3 = e0)
% 197.17/34.11  
% 197.17/34.11  Begin of proof
% 197.17/34.11  | 
% 197.17/34.11  | BETA: splitting (1) gives:
% 197.17/34.11  | 
% 197.17/34.11  | Case 1:
% 197.17/34.11  | | 
% 197.17/34.11  | |   (17)  all_56_13 = e0 & op(e0, e2) = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | ALPHA: (17) implies:
% 197.17/34.11  | |   (18)  all_56_13 = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | COMBINE_EQS: (4), (18) imply:
% 197.17/34.11  | |   (19)  e3 = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | COMBINE_EQS: (5), (19) imply:
% 197.17/34.11  | |   (20)  all_56_5 = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | REF_CLOSE: (2), (3), (6), (7), (9), (10), (11), (12), (14), (15), (16), (20)
% 197.17/34.11  | |            are inconsistent by sub-proof #1551.
% 197.17/34.11  | | 
% 197.17/34.11  | Case 2:
% 197.17/34.11  | | 
% 197.17/34.11  | |   (21)  all_56_14 = e0 & op(e0, e1) = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | ALPHA: (21) implies:
% 197.17/34.11  | |   (22)  op(e0, e1) = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | REF_CLOSE: (3), (8), (13), (22) are inconsistent by sub-proof #1931.
% 197.17/34.11  | | 
% 197.17/34.11  | End of split
% 197.17/34.11  | 
% 197.17/34.11  End of proof
% 197.17/34.11  
% 197.17/34.11  Sub-proof #1342 shows that the following formulas are inconsistent:
% 197.17/34.11  ----------------------------------------------------------------
% 197.17/34.11    (1)  all_56_10 = e2
% 197.17/34.11    (2)  all_56_10 = e0
% 197.17/34.11    (3)   ~ (e2 = e0)
% 197.17/34.11  
% 197.17/34.11  Begin of proof
% 197.17/34.11  | 
% 197.17/34.11  | COMBINE_EQS: (1), (2) imply:
% 197.17/34.11  |   (4)  e2 = e0
% 197.17/34.11  | 
% 197.17/34.11  | SIMP: (4) implies:
% 197.17/34.11  |   (5)  e2 = e0
% 197.17/34.11  | 
% 197.17/34.11  | REDUCE: (3), (5) imply:
% 197.17/34.11  |   (6)  $false
% 197.17/34.11  | 
% 197.17/34.11  | CLOSE: (6) is inconsistent.
% 197.17/34.11  | 
% 197.17/34.11  End of proof
% 197.17/34.11  
% 197.17/34.11  Sub-proof #1343 shows that the following formulas are inconsistent:
% 197.17/34.11  ----------------------------------------------------------------
% 197.17/34.11    (1)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.17/34.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.11    (3)  all_56_13 = e3
% 197.17/34.11    (4)  op(e0, e1) = all_52_11
% 197.17/34.11    (5)   ~ (all_52_11 = e0)
% 197.17/34.11    (6)   ~ (e3 = e0)
% 197.17/34.11  
% 197.17/34.11  Begin of proof
% 197.17/34.11  | 
% 197.17/34.11  | BETA: splitting (1) gives:
% 197.17/34.11  | 
% 197.17/34.11  | Case 1:
% 197.17/34.11  | | 
% 197.17/34.11  | |   (7)  all_56_13 = e0 & op(e0, e2) = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | REF_CLOSE: (3), (6), (7) are inconsistent by sub-proof #1696.
% 197.17/34.11  | | 
% 197.17/34.11  | Case 2:
% 197.17/34.11  | | 
% 197.17/34.11  | |   (8)  all_56_14 = e0 & op(e0, e1) = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | ALPHA: (8) implies:
% 197.17/34.11  | |   (9)  op(e0, e1) = e0
% 197.17/34.11  | | 
% 197.17/34.11  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1931.
% 197.17/34.11  | | 
% 197.17/34.11  | End of split
% 197.17/34.11  | 
% 197.17/34.11  End of proof
% 197.17/34.11  
% 197.17/34.11  Sub-proof #1344 shows that the following formulas are inconsistent:
% 197.17/34.11  ----------------------------------------------------------------
% 197.17/34.11    (1)  all_56_15 = e0 & op(e0, e0) = e0
% 197.17/34.11    (2)  all_56_15 = e3
% 197.17/34.11    (3)   ~ (e3 = e0)
% 197.17/34.11  
% 197.17/34.11  Begin of proof
% 197.17/34.11  | 
% 197.17/34.11  | ALPHA: (1) implies:
% 197.17/34.11  |   (4)  all_56_15 = e0
% 197.17/34.11  | 
% 197.17/34.11  | COMBINE_EQS: (2), (4) imply:
% 197.17/34.11  |   (5)  e3 = e0
% 197.17/34.11  | 
% 197.17/34.11  | REDUCE: (3), (5) imply:
% 197.17/34.11  |   (6)  $false
% 197.17/34.11  | 
% 197.17/34.11  | CLOSE: (6) is inconsistent.
% 197.17/34.11  | 
% 197.17/34.11  End of proof
% 197.17/34.11  
% 197.17/34.11  Sub-proof #1345 shows that the following formulas are inconsistent:
% 197.17/34.11  ----------------------------------------------------------------
% 197.17/34.11    (1)   ~ (e3 = e2)
% 197.17/34.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.11    (3)  op(e2, e2) = e1
% 197.17/34.11    (4)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 197.17/34.11    (5)  all_56_2 = e3
% 197.17/34.11    (6)   ~ (e2 = e1)
% 197.17/34.11  
% 197.17/34.11  Begin of proof
% 197.17/34.11  | 
% 197.17/34.11  | BETA: splitting (4) gives:
% 197.17/34.11  | 
% 197.17/34.11  | Case 1:
% 197.17/34.11  | | 
% 197.17/34.11  | |   (7)  all_56_2 = e2 & op(e2, e3) = e2
% 197.17/34.11  | | 
% 197.17/34.11  | | REF_CLOSE: (1), (5), (7) are inconsistent by sub-proof #1861.
% 197.17/34.11  | | 
% 197.17/34.11  | Case 2:
% 197.17/34.11  | | 
% 197.17/34.11  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 197.17/34.11  | | 
% 197.17/34.11  | | ALPHA: (8) implies:
% 197.17/34.11  | |   (9)  op(e2, e2) = e2
% 197.17/34.11  | | 
% 197.17/34.11  | | REF_CLOSE: (2), (3), (6), (9) are inconsistent by sub-proof #1783.
% 197.17/34.11  | | 
% 197.17/34.11  | End of split
% 197.17/34.11  | 
% 197.17/34.11  End of proof
% 197.17/34.11  
% 197.17/34.11  Sub-proof #1346 shows that the following formulas are inconsistent:
% 197.17/34.11  ----------------------------------------------------------------
% 197.17/34.11    (1)   ~ (e3 = e2)
% 197.17/34.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.17/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.17/34.11    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.17/34.11         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.17/34.11    (4)  all_56_7 = e3
% 197.17/34.11    (5)  op(e1, e1) = e0
% 197.17/34.11    (6)   ~ (e1 = e0)
% 197.17/34.11    (7)  all_56_6 = e3
% 197.27/34.11    (8)   ~ (e2 = e1)
% 197.27/34.11    (9)   ~ (e3 = e1)
% 197.27/34.11    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.11          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.11    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.11          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.11    (12)   ~ (e2 = e0)
% 197.27/34.11    (13)   ~ (e3 = e0)
% 197.27/34.11  
% 197.27/34.11  Begin of proof
% 197.27/34.11  | 
% 197.27/34.11  | BETA: splitting (3) gives:
% 197.27/34.11  | 
% 197.27/34.11  | Case 1:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (14)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 197.27/34.11  | |           e1)
% 197.27/34.11  | | 
% 197.27/34.11  | | BETA: splitting (14) gives:
% 197.27/34.11  | | 
% 197.27/34.11  | | Case 1:
% 197.27/34.11  | | | 
% 197.27/34.11  | | |   (15)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | ALPHA: (15) implies:
% 197.27/34.11  | | |   (16)  all_56_6 = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | COMBINE_EQS: (7), (16) imply:
% 197.27/34.11  | | |   (17)  e3 = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | COMBINE_EQS: (4), (17) imply:
% 197.27/34.11  | | |   (18)  all_56_7 = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | REF_CLOSE: (1), (2), (5), (8), (9), (10), (11), (12), (13), (16), (18) are
% 197.27/34.11  | | |            inconsistent by sub-proof #1616.
% 197.27/34.11  | | | 
% 197.27/34.11  | | Case 2:
% 197.27/34.11  | | | 
% 197.27/34.11  | | |   (19)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | ALPHA: (19) implies:
% 197.27/34.11  | | |   (20)  all_56_7 = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | COMBINE_EQS: (4), (20) imply:
% 197.27/34.11  | | |   (21)  e3 = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | COMBINE_EQS: (7), (21) imply:
% 197.27/34.11  | | |   (22)  all_56_6 = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | REF_CLOSE: (1), (2), (5), (8), (9), (10), (11), (12), (13), (20), (22) are
% 197.27/34.11  | | |            inconsistent by sub-proof #1616.
% 197.27/34.11  | | | 
% 197.27/34.11  | | End of split
% 197.27/34.11  | | 
% 197.27/34.11  | Case 2:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (23)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 197.27/34.11  | |           e1)
% 197.27/34.11  | | 
% 197.27/34.11  | | BETA: splitting (23) gives:
% 197.27/34.11  | | 
% 197.27/34.11  | | Case 1:
% 197.27/34.11  | | | 
% 197.27/34.11  | | |   (24)  all_56_8 = e1 & op(e1, e1) = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | ALPHA: (24) implies:
% 197.27/34.11  | | |   (25)  op(e1, e1) = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | REF_CLOSE: (2), (5), (6), (25) are inconsistent by sub-proof #1959.
% 197.27/34.11  | | | 
% 197.27/34.11  | | Case 2:
% 197.27/34.11  | | | 
% 197.27/34.11  | | |   (26)  all_56_11 = e1 & op(e1, e0) = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | ALPHA: (26) implies:
% 197.27/34.11  | | |   (27)  all_56_11 = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | BETA: splitting (10) gives:
% 197.27/34.11  | | | 
% 197.27/34.11  | | | Case 1:
% 197.27/34.11  | | | | 
% 197.27/34.11  | | | |   (28)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2)
% 197.27/34.11  | | | |           = e2)
% 197.27/34.11  | | | | 
% 197.27/34.11  | | | | BETA: splitting (28) gives:
% 197.27/34.11  | | | | 
% 197.27/34.11  | | | | Case 1:
% 197.27/34.11  | | | | | 
% 197.27/34.11  | | | | |   (29)  all_56_6 = e2 & op(e1, e3) = e2
% 197.27/34.11  | | | | | 
% 197.27/34.11  | | | | | REF_CLOSE: (1), (7), (29) are inconsistent by sub-proof #1853.
% 197.27/34.11  | | | | | 
% 197.27/34.11  | | | | Case 2:
% 197.27/34.11  | | | | | 
% 197.27/34.11  | | | | |   (30)  all_56_7 = e2 & op(e1, e2) = e2
% 197.27/34.11  | | | | | 
% 197.27/34.11  | | | | | REF_CLOSE: (1), (4), (30) are inconsistent by sub-proof #1925.
% 197.27/34.11  | | | | | 
% 197.27/34.11  | | | | End of split
% 197.27/34.11  | | | | 
% 197.27/34.11  | | | Case 2:
% 197.27/34.11  | | | | 
% 197.27/34.11  | | | |   (31)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0)
% 197.27/34.11  | | | |           = e2)
% 197.27/34.11  | | | | 
% 197.27/34.11  | | | | REF_CLOSE: (2), (5), (8), (12), (27), (31) are inconsistent by sub-proof
% 197.27/34.11  | | | |            #1614.
% 197.27/34.11  | | | | 
% 197.27/34.11  | | | End of split
% 197.27/34.11  | | | 
% 197.27/34.11  | | End of split
% 197.27/34.11  | | 
% 197.27/34.11  | End of split
% 197.27/34.11  | 
% 197.27/34.11  End of proof
% 197.27/34.11  
% 197.27/34.11  Sub-proof #1347 shows that the following formulas are inconsistent:
% 197.27/34.11  ----------------------------------------------------------------
% 197.27/34.11    (1)   ~ (all_52_4 = e3)
% 197.27/34.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.11    (3)  op(e3, e2) = all_52_4
% 197.27/34.11    (4)  op(e2, e2) = e1
% 197.27/34.11    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 197.27/34.11    (6)   ~ (e3 = e1)
% 197.27/34.11  
% 197.27/34.11  Begin of proof
% 197.27/34.11  | 
% 197.27/34.11  | BETA: splitting (5) gives:
% 197.27/34.11  | 
% 197.27/34.11  | Case 1:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 197.27/34.11  | | 
% 197.27/34.11  | | ALPHA: (7) implies:
% 197.27/34.11  | |   (8)  op(e3, e2) = e3
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1972.
% 197.27/34.11  | | 
% 197.27/34.11  | Case 2:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 197.27/34.11  | | 
% 197.27/34.11  | | ALPHA: (9) implies:
% 197.27/34.11  | |   (10)  op(e2, e2) = e3
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1679.
% 197.27/34.11  | | 
% 197.27/34.11  | End of split
% 197.27/34.11  | 
% 197.27/34.11  End of proof
% 197.27/34.11  
% 197.27/34.11  Sub-proof #1348 shows that the following formulas are inconsistent:
% 197.27/34.11  ----------------------------------------------------------------
% 197.27/34.11    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.11         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.11    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.11         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.11    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.11         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.11    (4)   ~ (e3 = e2)
% 197.27/34.11    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.11    (6)  op(e3, e3) = e3
% 197.27/34.11    (7)   ~ (e1 = e0)
% 197.27/34.11    (8)  all_56_6 = e3
% 197.27/34.11    (9)   ~ (e2 = e1)
% 197.27/34.11    (10)  all_56_2 = e0
% 197.27/34.11    (11)   ~ (e3 = e1)
% 197.27/34.11    (12)   ~ (e2 = e0)
% 197.27/34.11    (13)   ~ (e3 = e0)
% 197.27/34.11  
% 197.27/34.11  Begin of proof
% 197.27/34.11  | 
% 197.27/34.11  | BETA: splitting (3) gives:
% 197.27/34.11  | 
% 197.27/34.11  | Case 1:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 197.27/34.11  | |           e1)
% 197.27/34.11  | | 
% 197.27/34.11  | | BETA: splitting (14) gives:
% 197.27/34.11  | | 
% 197.27/34.11  | | Case 1:
% 197.27/34.11  | | | 
% 197.27/34.11  | | |   (15)  all_56_0 = e1 & op(e3, e3) = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | ALPHA: (15) implies:
% 197.27/34.11  | | |   (16)  op(e3, e3) = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | REF_CLOSE: (5), (6), (11), (16) are inconsistent by sub-proof #1966.
% 197.27/34.11  | | | 
% 197.27/34.11  | | Case 2:
% 197.27/34.11  | | | 
% 197.27/34.11  | | |   (17)  all_56_2 = e1 & op(e2, e3) = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | REF_CLOSE: (7), (10), (17) are inconsistent by sub-proof #1557.
% 197.27/34.11  | | | 
% 197.27/34.11  | | End of split
% 197.27/34.11  | | 
% 197.27/34.11  | Case 2:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (18)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 197.27/34.11  | |           e1)
% 197.27/34.11  | | 
% 197.27/34.11  | | BETA: splitting (18) gives:
% 197.27/34.11  | | 
% 197.27/34.11  | | Case 1:
% 197.27/34.11  | | | 
% 197.27/34.11  | | |   (19)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | ALPHA: (19) implies:
% 197.27/34.11  | | |   (20)  all_56_6 = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | REF_CLOSE: (8), (11), (20) are inconsistent by sub-proof #1620.
% 197.27/34.11  | | | 
% 197.27/34.11  | | Case 2:
% 197.27/34.11  | | | 
% 197.27/34.11  | | |   (21)  all_56_12 = e1 & op(e0, e3) = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | ALPHA: (21) implies:
% 197.27/34.11  | | |   (22)  all_56_12 = e1
% 197.27/34.11  | | | 
% 197.27/34.11  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 197.27/34.11  | | |            (22) are inconsistent by sub-proof #1542.
% 197.27/34.11  | | | 
% 197.27/34.11  | | End of split
% 197.27/34.11  | | 
% 197.27/34.11  | End of split
% 197.27/34.11  | 
% 197.27/34.11  End of proof
% 197.27/34.11  
% 197.27/34.11  Sub-proof #1349 shows that the following formulas are inconsistent:
% 197.27/34.11  ----------------------------------------------------------------
% 197.27/34.11    (1)  op(e1, e2) = all_52_6
% 197.27/34.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.11    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 197.27/34.11    (4)  all_56_6 = e3
% 197.27/34.11    (5)   ~ (e3 = e1)
% 197.27/34.11    (6)   ~ (all_52_6 = e1)
% 197.27/34.11  
% 197.27/34.11  Begin of proof
% 197.27/34.11  | 
% 197.27/34.11  | BETA: splitting (3) gives:
% 197.27/34.11  | 
% 197.27/34.11  | Case 1:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (7)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #1569.
% 197.27/34.11  | | 
% 197.27/34.11  | Case 2:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (8)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.11  | | 
% 197.27/34.11  | | ALPHA: (8) implies:
% 197.27/34.11  | |   (9)  op(e1, e2) = e1
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (1), (2), (6), (9) are inconsistent by sub-proof #1970.
% 197.27/34.11  | | 
% 197.27/34.11  | End of split
% 197.27/34.11  | 
% 197.27/34.11  End of proof
% 197.27/34.11  
% 197.27/34.11  Sub-proof #1350 shows that the following formulas are inconsistent:
% 197.27/34.11  ----------------------------------------------------------------
% 197.27/34.11    (1)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 197.27/34.11             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.27/34.11           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 197.27/34.11           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 197.27/34.11           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 197.27/34.11           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.27/34.11           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 197.27/34.11           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.27/34.11           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.11    (3)  op(e2, e2) = e1
% 197.27/34.11    (4)   ~ (all_52_12 = e3)
% 197.27/34.11    (5)  op(e3, e0) = all_52_12
% 197.27/34.11  
% 197.27/34.11  Begin of proof
% 197.27/34.11  | 
% 197.27/34.11  | BETA: splitting (1) gives:
% 197.27/34.11  | 
% 197.27/34.11  | Case 1:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (6)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 197.27/34.11  | |          e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.27/34.11  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 197.27/34.11  | | 
% 197.27/34.11  | | ALPHA: (6) implies:
% 197.27/34.11  | |   (7)   ~ (all_57_12 = e1)
% 197.27/34.11  | |   (8)  op(e2, e2) = all_57_12
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (2), (3), (7), (8) are inconsistent by sub-proof #1890.
% 197.27/34.11  | | 
% 197.27/34.11  | Case 2:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (9)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 197.27/34.11  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 197.27/34.11  | |          e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 197.27/34.11  | |        (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 197.27/34.11  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 197.27/34.11  | |          e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1963.
% 197.27/34.11  | | 
% 197.27/34.11  | End of split
% 197.27/34.11  | 
% 197.27/34.11  End of proof
% 197.27/34.11  
% 197.27/34.11  Sub-proof #1351 shows that the following formulas are inconsistent:
% 197.27/34.11  ----------------------------------------------------------------
% 197.27/34.11    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.11    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.27/34.11             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.11           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 197.27/34.11           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.27/34.11           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.27/34.11           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 197.27/34.11    (3)   ~ (all_52_8 = e3)
% 197.27/34.11    (4)  op(e3, e3) = e3
% 197.27/34.11    (5)  op(e3, e1) = all_52_8
% 197.27/34.11    (6)   ~ (e3 = e1)
% 197.27/34.11  
% 197.27/34.11  Begin of proof
% 197.27/34.11  | 
% 197.27/34.11  | BETA: splitting (2) gives:
% 197.27/34.11  | 
% 197.27/34.11  | Case 1:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.27/34.11  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.11  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 197.27/34.11  | | 
% 197.27/34.11  | | ALPHA: (7) implies:
% 197.27/34.11  | |   (8)  op(e3, e1) = e3
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1759.
% 197.27/34.11  | | 
% 197.27/34.11  | Case 2:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.27/34.11  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.27/34.11  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 197.27/34.11  | | 
% 197.27/34.11  | | ALPHA: (9) implies:
% 197.27/34.11  | |   (10)  op(e3, e3) = e1
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1966.
% 197.27/34.11  | | 
% 197.27/34.11  | End of split
% 197.27/34.11  | 
% 197.27/34.11  End of proof
% 197.27/34.11  
% 197.27/34.11  Sub-proof #1352 shows that the following formulas are inconsistent:
% 197.27/34.11  ----------------------------------------------------------------
% 197.27/34.11    (1)  op(e0, e0) = all_14_2
% 197.27/34.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.11    (3)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 197.27/34.11             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.11           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 197.27/34.11           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 197.27/34.11             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 197.27/34.11             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.27/34.11    (4)  op(e2, e2) = e1
% 197.27/34.11    (5)   ~ (all_14_2 = e3)
% 197.27/34.11    (6)   ~ (e3 = e1)
% 197.27/34.11  
% 197.27/34.11  Begin of proof
% 197.27/34.11  | 
% 197.27/34.11  | BETA: splitting (3) gives:
% 197.27/34.11  | 
% 197.27/34.11  | Case 1:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (7)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 197.27/34.11  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.11  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 197.27/34.11  | | 
% 197.27/34.11  | | ALPHA: (7) implies:
% 197.27/34.11  | |   (8)  op(e2, e2) = e3
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1679.
% 197.27/34.11  | | 
% 197.27/34.11  | Case 2:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (9)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 197.27/34.11  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.27/34.11  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 197.27/34.11  | | 
% 197.27/34.11  | | ALPHA: (9) implies:
% 197.27/34.11  | |   (10)  op(e0, e0) = e3
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1977.
% 197.27/34.11  | | 
% 197.27/34.11  | End of split
% 197.27/34.11  | 
% 197.27/34.11  End of proof
% 197.27/34.11  
% 197.27/34.11  Sub-proof #1353 shows that the following formulas are inconsistent:
% 197.27/34.11  ----------------------------------------------------------------
% 197.27/34.11    (1)  op(e0, e0) = all_14_2
% 197.27/34.11    (2)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.11             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.11           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.11           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.11           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.11           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.11    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.11    (4)  op(e1, e1) = e0
% 197.27/34.11    (5)   ~ (all_14_2 = e3)
% 197.27/34.11    (6)   ~ (e3 = e0)
% 197.27/34.11  
% 197.27/34.11  Begin of proof
% 197.27/34.11  | 
% 197.27/34.11  | BETA: splitting (2) gives:
% 197.27/34.11  | 
% 197.27/34.11  | Case 1:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (7)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.11  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.11  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 197.27/34.11  | | 
% 197.27/34.11  | | ALPHA: (7) implies:
% 197.27/34.11  | |   (8)  op(e1, e1) = e3
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1824.
% 197.27/34.11  | | 
% 197.27/34.11  | Case 2:
% 197.27/34.11  | | 
% 197.27/34.11  | |   (9)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 197.27/34.11  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.27/34.11  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 197.27/34.11  | | 
% 197.27/34.11  | | ALPHA: (9) implies:
% 197.27/34.11  | |   (10)  op(e0, e0) = e3
% 197.27/34.11  | | 
% 197.27/34.11  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1977.
% 197.27/34.11  | | 
% 197.27/34.11  | End of split
% 197.27/34.11  | 
% 197.27/34.11  End of proof
% 197.27/34.11  
% 197.27/34.11  Sub-proof #1354 shows that the following formulas are inconsistent:
% 197.27/34.11  ----------------------------------------------------------------
% 197.27/34.11    (1)  all_56_12 = e3
% 197.27/34.11    (2)  all_56_12 = e2
% 197.27/34.11    (3)   ~ (e3 = e2)
% 197.27/34.11  
% 197.27/34.11  Begin of proof
% 197.27/34.11  | 
% 197.27/34.11  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.11  |   (4)  e3 = e2
% 197.27/34.11  | 
% 197.27/34.11  | SIMP: (4) implies:
% 197.27/34.11  |   (5)  e3 = e2
% 197.27/34.11  | 
% 197.27/34.11  | REDUCE: (3), (5) imply:
% 197.27/34.11  |   (6)  $false
% 197.27/34.11  | 
% 197.27/34.11  | CLOSE: (6) is inconsistent.
% 197.27/34.11  | 
% 197.27/34.11  End of proof
% 197.27/34.11  
% 197.27/34.11  Sub-proof #1355 shows that the following formulas are inconsistent:
% 197.27/34.11  ----------------------------------------------------------------
% 197.27/34.11    (1)   ~ (e3 = e2)
% 197.27/34.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.11    (3)  all_56_13 = e0
% 197.27/34.11    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.11         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.11    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.11         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.11    (6)  all_56_13 = e2
% 197.27/34.11    (7)  op(e1, e1) = e0
% 197.27/34.11    (8)   ~ (e1 = e0)
% 197.27/34.11    (9)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.11         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.11    (10)   ~ (e2 = e1)
% 197.27/34.11    (11)  all_56_5 = e2
% 197.27/34.11    (12)   ~ (e3 = e1)
% 197.27/34.11    (13)   ~ (e2 = e0)
% 197.27/34.11    (14)   ~ (e3 = e0)
% 197.27/34.11  
% 197.27/34.11  Begin of proof
% 197.27/34.11  | 
% 197.27/34.11  | COMBINE_EQS: (3), (6) imply:
% 197.27/34.11  |   (15)  e2 = e0
% 197.27/34.11  | 
% 197.27/34.11  | SIMP: (15) implies:
% 197.27/34.11  |   (16)  e2 = e0
% 197.27/34.11  | 
% 197.27/34.11  | COMBINE_EQS: (11), (16) imply:
% 197.27/34.11  |   (17)  all_56_5 = e0
% 197.27/34.11  | 
% 197.27/34.11  | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (12), (13), (14), (17) are
% 197.27/34.11  |            inconsistent by sub-proof #1551.
% 197.27/34.11  | 
% 197.27/34.11  End of proof
% 197.27/34.11  
% 197.27/34.11  Sub-proof #1356 shows that the following formulas are inconsistent:
% 197.27/34.11  ----------------------------------------------------------------
% 197.27/34.11    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.11         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.11    (2)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.27/34.11         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.11    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.11         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.27/34.11    (4)   ~ (all_52_13 = e2)
% 197.27/34.11    (5)   ~ (e3 = e2)
% 197.27/34.11    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.11    (7)  all_56_13 = e0
% 197.27/34.12    (8)  op(e3, e2) = all_52_4
% 197.27/34.12    (9)  op(e2, e2) = all_4_2
% 197.27/34.12    (10)  op(e3, e3) = e1
% 197.27/34.12    (11)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.12          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.12    (12)  op(e2, e0) = all_52_13
% 197.27/34.12    (13)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.12          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.27/34.12    (14)   ~ (all_52_8 = e1)
% 197.27/34.12    (15)  op(e1, e1) = e0
% 197.27/34.12    (16)   ~ (all_4_2 = e3)
% 197.27/34.12    (17)   ~ (e1 = e0)
% 197.27/34.12    (18)   ~ (all_52_4 = e1)
% 197.27/34.12    (19)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.27/34.12          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.27/34.12    (20)   ~ (e2 = e1)
% 197.27/34.12    (21)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.12          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.12    (22)  all_56_12 = e0
% 197.27/34.12    (23)  op(e3, e1) = all_52_8
% 197.27/34.12    (24)  op(e0, e0) = e2
% 197.27/34.12    (25)  op(e2, e2) = e0
% 197.27/34.12    (26)   ~ (e3 = e1)
% 197.27/34.12    (27)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.12          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.12    (28)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.12          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.12    (29)   ~ (e2 = e0)
% 197.27/34.12    (30)   ~ (e3 = e0)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | BETA: splitting (1) gives:
% 197.27/34.12  | 
% 197.27/34.12  | Case 1:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (31)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.27/34.12  | |           e1)
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (6), (8), (17), (18), (25), (31) are inconsistent by sub-proof
% 197.27/34.12  | |            #1908.
% 197.27/34.12  | | 
% 197.27/34.12  | Case 2:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (32)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.27/34.12  | |           e1)
% 197.27/34.12  | | 
% 197.27/34.12  | | BETA: splitting (32) gives:
% 197.27/34.12  | | 
% 197.27/34.12  | | Case 1:
% 197.27/34.12  | | | 
% 197.27/34.12  | | |   (33)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.12  | | | 
% 197.27/34.12  | | | ALPHA: (33) implies:
% 197.27/34.12  | | |   (34)  all_56_7 = e1
% 197.27/34.12  | | | 
% 197.27/34.12  | | | BETA: splitting (2) gives:
% 197.27/34.12  | | | 
% 197.27/34.12  | | | Case 1:
% 197.27/34.12  | | | | 
% 197.27/34.12  | | | |   (35)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0,
% 197.27/34.12  | | | |             e2) = e3)
% 197.27/34.12  | | | | 
% 197.27/34.12  | | | | BETA: splitting (35) gives:
% 197.27/34.12  | | | | 
% 197.27/34.12  | | | | Case 1:
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | |   (36)  all_56_12 = e3 & op(e0, e3) = e3
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | | ALPHA: (36) implies:
% 197.27/34.12  | | | | |   (37)  all_56_12 = e3
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | | REF_CLOSE: (22), (30), (37) are inconsistent by sub-proof #1700.
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | Case 2:
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | |   (38)  all_56_13 = e3 & op(e0, e2) = e3
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | | ALPHA: (38) implies:
% 197.27/34.12  | | | | |   (39)  all_56_13 = e3
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | | REF_CLOSE: (7), (30), (39) are inconsistent by sub-proof #1360.
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | End of split
% 197.27/34.12  | | | | 
% 197.27/34.12  | | | Case 2:
% 197.27/34.12  | | | | 
% 197.27/34.12  | | | |   (40)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 197.27/34.12  | | | |             e0) = e3)
% 197.27/34.12  | | | | 
% 197.27/34.12  | | | | BETA: splitting (40) gives:
% 197.27/34.12  | | | | 
% 197.27/34.12  | | | | Case 1:
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | |   (41)  all_56_14 = e3 & op(e0, e1) = e3
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | | ALPHA: (41) implies:
% 197.27/34.12  | | | | |   (42)  all_56_14 = e3
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | | BETA: splitting (3) gives:
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | | Case 1:
% 197.27/34.12  | | | | | | 
% 197.27/34.12  | | | | | |   (43)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2,
% 197.27/34.12  | | | | | |             e2) = e2)
% 197.27/34.12  | | | | | | 
% 197.27/34.12  | | | | | | BETA: splitting (43) gives:
% 197.27/34.12  | | | | | | 
% 197.27/34.12  | | | | | | Case 1:
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | |   (44)  all_56_1 = e2 & op(e3, e2) = e2
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | | ALPHA: (44) implies:
% 197.27/34.12  | | | | | | |   (45)  all_56_1 = e2
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | | BETA: splitting (11) gives:
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | | Case 1:
% 197.27/34.12  | | | | | | | | 
% 197.27/34.12  | | | | | | | |   (46)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 &
% 197.27/34.12  | | | | | | | |           op(e2, e1) = e1)
% 197.27/34.12  | | | | | | | | 
% 197.27/34.12  | | | | | | | | BETA: splitting (46) gives:
% 197.27/34.12  | | | | | | | | 
% 197.27/34.12  | | | | | | | | Case 1:
% 197.27/34.12  | | | | | | | | | 
% 197.27/34.12  | | | | | | | | |   (47)  all_56_4 = e1 & op(e3, e1) = e1
% 197.27/34.12  | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | ALPHA: (47) implies:
% 197.27/34.12  | | | | | | | | |   (48)  op(e3, e1) = e1
% 197.27/34.12  | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | REF_CLOSE: (6), (14), (23), (48) are inconsistent by sub-proof
% 197.27/34.12  | | | | | | | | |            #1880.
% 197.27/34.12  | | | | | | | | | 
% 197.27/34.12  | | | | | | | | Case 2:
% 197.27/34.12  | | | | | | | | | 
% 197.27/34.12  | | | | | | | | |   (49)  all_56_5 = e1 & op(e2, e1) = e1
% 197.27/34.12  | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | ALPHA: (49) implies:
% 197.27/34.12  | | | | | | | | |   (50)  op(e2, e1) = e1
% 197.27/34.12  | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | BETA: splitting (21) gives:
% 197.27/34.12  | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | Case 1:
% 197.27/34.12  | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | |   (51)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 &
% 197.27/34.12  | | | | | | | | | |           op(e2, e2) = e2)
% 197.27/34.12  | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | BETA: splitting (51) gives:
% 197.27/34.12  | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | Case 1:
% 197.27/34.12  | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | |   (52)  all_56_2 = e2 & op(e2, e3) = e2
% 197.27/34.12  | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | ALPHA: (52) implies:
% 197.27/34.12  | | | | | | | | | | |   (53)  all_56_2 = e2
% 197.27/34.12  | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | BETA: splitting (19) gives:
% 197.27/34.12  | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | Case 1:
% 197.27/34.12  | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | |   (54)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 197.27/34.12  | | | | | | | | | | | |           & op(e2, e3) = e3)
% 197.27/34.12  | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | BETA: splitting (54) gives:
% 197.27/34.12  | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | Case 1:
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | |   (55)  all_56_0 = e3 & op(e3, e3) = e3
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | | ALPHA: (55) implies:
% 197.27/34.12  | | | | | | | | | | | | |   (56)  op(e3, e3) = e3
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | | REF_CLOSE: (6), (10), (26), (56) are inconsistent by
% 197.27/34.12  | | | | | | | | | | | | |            sub-proof #1966.
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | Case 2:
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | |   (57)  all_56_2 = e3 & op(e2, e3) = e3
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | | ALPHA: (57) implies:
% 197.27/34.12  | | | | | | | | | | | | |   (58)  all_56_2 = e3
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | | REF_CLOSE: (5), (53), (58) are inconsistent by sub-proof
% 197.27/34.12  | | | | | | | | | | | | |            #1440.
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | End of split
% 197.27/34.12  | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | Case 2:
% 197.27/34.12  | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | |   (59)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 197.27/34.12  | | | | | | | | | | | |           e3 & op(e0, e3) = e3)
% 197.27/34.12  | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | BETA: splitting (59) gives:
% 197.27/34.12  | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | Case 1:
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | |   (60)  all_56_6 = e3 & op(e1, e3) = e3
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | | ALPHA: (60) implies:
% 197.27/34.12  | | | | | | | | | | | | |   (61)  all_56_6 = e3
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (13), (15), (16), (20), (26),
% 197.27/34.12  | | | | | | | | | | | | |            (27), (28), (29), (30), (34), (45), (61) are
% 197.27/34.12  | | | | | | | | | | | | |            inconsistent by sub-proof #1358.
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | Case 2:
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | |   (62)  all_56_12 = e3 & op(e0, e3) = e3
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | | ALPHA: (62) implies:
% 197.27/34.12  | | | | | | | | | | | | |   (63)  all_56_12 = e3
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | | REF_CLOSE: (22), (30), (63) are inconsistent by sub-proof
% 197.27/34.12  | | | | | | | | | | | | |            #1700.
% 197.27/34.12  | | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | | End of split
% 197.27/34.12  | | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | End of split
% 197.27/34.12  | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | Case 2:
% 197.27/34.12  | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | |   (64)  all_56_3 = e2 & op(e2, e2) = e2
% 197.27/34.12  | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | ALPHA: (64) implies:
% 197.27/34.12  | | | | | | | | | | |   (65)  op(e2, e2) = e2
% 197.27/34.12  | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | | REF_CLOSE: (6), (25), (29), (65) are inconsistent by
% 197.27/34.12  | | | | | | | | | | |            sub-proof #1939.
% 197.27/34.12  | | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | End of split
% 197.27/34.12  | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | Case 2:
% 197.27/34.12  | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | |   (66)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2
% 197.27/34.12  | | | | | | | | | |           & op(e2, e0) = e2)
% 197.27/34.12  | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | | REF_CLOSE: (4), (6), (12), (20), (50), (66) are inconsistent
% 197.27/34.12  | | | | | | | | | |            by sub-proof #1414.
% 197.27/34.12  | | | | | | | | | | 
% 197.27/34.12  | | | | | | | | | End of split
% 197.27/34.12  | | | | | | | | | 
% 197.27/34.12  | | | | | | | | End of split
% 197.27/34.12  | | | | | | | | 
% 197.27/34.12  | | | | | | | Case 2:
% 197.27/34.12  | | | | | | | | 
% 197.27/34.12  | | | | | | | |   (67)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 197.27/34.12  | | | | | | | |           op(e0, e1) = e1)
% 197.27/34.12  | | | | | | | | 
% 197.27/34.12  | | | | | | | | REF_CLOSE: (6), (15), (17), (26), (42), (67) are inconsistent by
% 197.27/34.12  | | | | | | | |            sub-proof #1747.
% 197.27/34.12  | | | | | | | | 
% 197.27/34.12  | | | | | | | End of split
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | Case 2:
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | |   (68)  all_56_3 = e2 & op(e2, e2) = e2
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | | ALPHA: (68) implies:
% 197.27/34.12  | | | | | | |   (69)  op(e2, e2) = e2
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | | REF_CLOSE: (6), (25), (29), (69) are inconsistent by sub-proof
% 197.27/34.12  | | | | | | |            #1939.
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | End of split
% 197.27/34.12  | | | | | | 
% 197.27/34.12  | | | | | Case 2:
% 197.27/34.12  | | | | | | 
% 197.27/34.12  | | | | | |   (70)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0,
% 197.27/34.12  | | | | | |             e2) = e2)
% 197.27/34.12  | | | | | | 
% 197.27/34.12  | | | | | | BETA: splitting (70) gives:
% 197.27/34.12  | | | | | | 
% 197.27/34.12  | | | | | | Case 1:
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | |   (71)  all_56_7 = e2 & op(e1, e2) = e2
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | | REF_CLOSE: (20), (34), (71) are inconsistent by sub-proof #1906.
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | Case 2:
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | |   (72)  all_56_13 = e2 & op(e0, e2) = e2
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | | ALPHA: (72) implies:
% 197.27/34.12  | | | | | | |   (73)  all_56_13 = e2
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | | REF_CLOSE: (7), (29), (73) are inconsistent by sub-proof #1357.
% 197.27/34.12  | | | | | | | 
% 197.27/34.12  | | | | | | End of split
% 197.27/34.12  | | | | | | 
% 197.27/34.12  | | | | | End of split
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | Case 2:
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | |   (74)  all_56_15 = e3 & op(e0, e0) = e3
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | | ALPHA: (74) implies:
% 197.27/34.12  | | | | |   (75)  op(e0, e0) = e3
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | | REF_CLOSE: (5), (6), (24), (75) are inconsistent by sub-proof #1692.
% 197.27/34.12  | | | | | 
% 197.27/34.12  | | | | End of split
% 197.27/34.12  | | | | 
% 197.27/34.12  | | | End of split
% 197.27/34.12  | | | 
% 197.27/34.12  | | Case 2:
% 197.27/34.12  | | | 
% 197.27/34.12  | | |   (76)  all_56_13 = e1 & op(e0, e2) = e1
% 197.27/34.12  | | | 
% 197.27/34.12  | | | ALPHA: (76) implies:
% 197.27/34.12  | | |   (77)  all_56_13 = e1
% 197.27/34.12  | | | 
% 197.27/34.12  | | | REF_CLOSE: (7), (17), (77) are inconsistent by sub-proof #1787.
% 197.27/34.12  | | | 
% 197.27/34.12  | | End of split
% 197.27/34.12  | | 
% 197.27/34.12  | End of split
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1357 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)  all_56_13 = e2
% 197.27/34.12    (2)  all_56_13 = e0
% 197.27/34.12    (3)   ~ (e2 = e0)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.12  |   (4)  e2 = e0
% 197.27/34.12  | 
% 197.27/34.12  | SIMP: (4) implies:
% 197.27/34.12  |   (5)  e2 = e0
% 197.27/34.12  | 
% 197.27/34.12  | REDUCE: (3), (5) imply:
% 197.27/34.12  |   (6)  $false
% 197.27/34.12  | 
% 197.27/34.12  | CLOSE: (6) is inconsistent.
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1358 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)   ~ (e3 = e2)
% 197.27/34.12    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.12    (3)  all_56_13 = e0
% 197.27/34.12    (4)  op(e2, e2) = all_4_2
% 197.27/34.12    (5)  all_56_7 = e1
% 197.27/34.12    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.12         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.27/34.12    (7)  op(e1, e1) = e0
% 197.27/34.12    (8)   ~ (all_4_2 = e3)
% 197.27/34.12    (9)  all_56_6 = e3
% 197.27/34.12    (10)   ~ (e2 = e1)
% 197.27/34.12    (11)   ~ (e3 = e1)
% 197.27/34.12    (12)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.12          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.12    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.12          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.12    (14)   ~ (e2 = e0)
% 197.27/34.12    (15)   ~ (e3 = e0)
% 197.27/34.12    (16)  all_56_1 = e2
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | BETA: splitting (6) gives:
% 197.27/34.12  | 
% 197.27/34.12  | Case 1:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (17)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.27/34.12  | |           e3)
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (1), (2), (4), (8), (16), (17) are inconsistent by sub-proof
% 197.27/34.12  | |            #1359.
% 197.27/34.12  | | 
% 197.27/34.12  | Case 2:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (18)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 197.27/34.12  | |           e3)
% 197.27/34.12  | | 
% 197.27/34.12  | | BETA: splitting (18) gives:
% 197.27/34.12  | | 
% 197.27/34.12  | | Case 1:
% 197.27/34.12  | | | 
% 197.27/34.12  | | |   (19)  all_56_7 = e3 & op(e1, e2) = e3
% 197.27/34.12  | | | 
% 197.27/34.12  | | | ALPHA: (19) implies:
% 197.27/34.12  | | |   (20)  all_56_7 = e3
% 197.27/34.12  | | | 
% 197.27/34.12  | | | COMBINE_EQS: (5), (20) imply:
% 197.27/34.12  | | |   (21)  e3 = e1
% 197.27/34.12  | | | 
% 197.27/34.12  | | | SIMP: (21) implies:
% 197.27/34.12  | | |   (22)  e3 = e1
% 197.27/34.12  | | | 
% 197.27/34.12  | | | COMBINE_EQS: (9), (22) imply:
% 197.27/34.12  | | |   (23)  all_56_6 = e1
% 197.27/34.12  | | | 
% 197.27/34.12  | | | REF_CLOSE: (1), (2), (5), (7), (10), (11), (12), (13), (14), (15), (23)
% 197.27/34.12  | | |            are inconsistent by sub-proof #1616.
% 197.27/34.12  | | | 
% 197.27/34.12  | | Case 2:
% 197.27/34.12  | | | 
% 197.27/34.12  | | |   (24)  all_56_13 = e3 & op(e0, e2) = e3
% 197.27/34.12  | | | 
% 197.27/34.12  | | | ALPHA: (24) implies:
% 197.27/34.12  | | |   (25)  all_56_13 = e3
% 197.27/34.12  | | | 
% 197.27/34.12  | | | COMBINE_EQS: (3), (25) imply:
% 197.27/34.12  | | |   (26)  e3 = e0
% 197.27/34.12  | | | 
% 197.27/34.12  | | | SIMP: (26) implies:
% 197.27/34.12  | | |   (27)  e3 = e0
% 197.27/34.12  | | | 
% 197.27/34.12  | | | COMBINE_EQS: (9), (27) imply:
% 197.27/34.12  | | |   (28)  all_56_6 = e0
% 197.27/34.12  | | | 
% 197.27/34.12  | | | REF_CLOSE: (1), (2), (5), (7), (10), (11), (12), (13), (14), (15), (28)
% 197.27/34.12  | | |            are inconsistent by sub-proof #1579.
% 197.27/34.12  | | | 
% 197.27/34.12  | | End of split
% 197.27/34.12  | | 
% 197.27/34.12  | End of split
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1359 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)   ~ (e3 = e2)
% 197.27/34.12    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.12    (3)  op(e2, e2) = all_4_2
% 197.27/34.12    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 197.27/34.12    (5)   ~ (all_4_2 = e3)
% 197.27/34.12    (6)  all_56_1 = e2
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | BETA: splitting (4) gives:
% 197.27/34.12  | 
% 197.27/34.12  | Case 1:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (7) implies:
% 197.27/34.12  | |   (8)  all_56_1 = e3
% 197.27/34.12  | | 
% 197.27/34.12  | | COMBINE_EQS: (6), (8) imply:
% 197.27/34.12  | |   (9)  e3 = e2
% 197.27/34.12  | | 
% 197.27/34.12  | | SIMP: (9) implies:
% 197.27/34.12  | |   (10)  e3 = e2
% 197.27/34.12  | | 
% 197.27/34.12  | | REDUCE: (1), (10) imply:
% 197.27/34.12  | |   (11)  $false
% 197.27/34.12  | | 
% 197.27/34.12  | | CLOSE: (11) is inconsistent.
% 197.27/34.12  | | 
% 197.27/34.12  | Case 2:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (12)  all_56_3 = e3 & op(e2, e2) = e3
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (12) implies:
% 197.27/34.12  | |   (13)  op(e2, e2) = e3
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (2), (3), (5), (13) are inconsistent by sub-proof #1975.
% 197.27/34.12  | | 
% 197.27/34.12  | End of split
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1360 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)  all_56_13 = e3
% 197.27/34.12    (2)  all_56_13 = e0
% 197.27/34.12    (3)   ~ (e3 = e0)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.12  |   (4)  e3 = e0
% 197.27/34.12  | 
% 197.27/34.12  | SIMP: (4) implies:
% 197.27/34.12  |   (5)  e3 = e0
% 197.27/34.12  | 
% 197.27/34.12  | REDUCE: (3), (5) imply:
% 197.27/34.12  |   (6)  $false
% 197.27/34.12  | 
% 197.27/34.12  | CLOSE: (6) is inconsistent.
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1361 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.12    (2)  op(e1, e1) = e0
% 197.27/34.12    (3)  all_56_14 = e1
% 197.27/34.12    (4)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.12    (5)   ~ (e3 = e1)
% 197.27/34.12    (6)   ~ (e3 = e0)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | BETA: splitting (4) gives:
% 197.27/34.12  | 
% 197.27/34.12  | Case 1:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (7) implies:
% 197.27/34.12  | |   (8)  op(e1, e1) = e3
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1824.
% 197.27/34.12  | | 
% 197.27/34.12  | Case 2:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #1362.
% 197.27/34.12  | | 
% 197.27/34.12  | End of split
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1362 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)  all_56_14 = e3 & op(e0, e1) = e3
% 197.27/34.12    (2)  all_56_14 = e1
% 197.27/34.12    (3)   ~ (e3 = e1)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | ALPHA: (1) implies:
% 197.27/34.12  |   (4)  all_56_14 = e3
% 197.27/34.12  | 
% 197.27/34.12  | COMBINE_EQS: (2), (4) imply:
% 197.27/34.12  |   (5)  e3 = e1
% 197.27/34.12  | 
% 197.27/34.12  | REDUCE: (3), (5) imply:
% 197.27/34.12  |   (6)  $false
% 197.27/34.12  | 
% 197.27/34.12  | CLOSE: (6) is inconsistent.
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1363 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.12         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.12    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.12         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.12    (3)   ~ (e3 = e2)
% 197.27/34.12    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.12    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 197.27/34.12    (6)  op(e3, e3) = e1
% 197.27/34.12    (7)  all_56_12 = e3
% 197.27/34.12    (8)   ~ (e1 = e0)
% 197.27/34.12    (9)   ~ (e2 = e1)
% 197.27/34.12    (10)  op(e2, e2) = e0
% 197.27/34.12    (11)   ~ (e2 = e0)
% 197.27/34.12    (12)   ~ (e3 = e0)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | BETA: splitting (5) gives:
% 197.27/34.12  | 
% 197.27/34.12  | Case 1:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (13)  all_56_2 = e1 & op(e2, e3) = e1
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (13) implies:
% 197.27/34.12  | |   (14)  all_56_2 = e1
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (14) are
% 197.27/34.12  | |            inconsistent by sub-proof #1845.
% 197.27/34.12  | | 
% 197.27/34.12  | Case 2:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (15)  all_56_3 = e1 & op(e2, e2) = e1
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (15) implies:
% 197.27/34.12  | |   (16)  op(e2, e2) = e1
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (4), (8), (10), (16) are inconsistent by sub-proof #1909.
% 197.27/34.12  | | 
% 197.27/34.12  | End of split
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1364 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.12    (2)  op(e3, e3) = e1
% 197.27/34.12    (3)   ~ (e2 = e1)
% 197.27/34.12    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 197.27/34.12    (5)  all_56_2 = e0
% 197.27/34.12    (6)   ~ (e2 = e0)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | BETA: splitting (4) gives:
% 197.27/34.12  | 
% 197.27/34.12  | Case 1:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (7) implies:
% 197.27/34.12  | |   (8)  op(e3, e3) = e2
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1934.
% 197.27/34.12  | | 
% 197.27/34.12  | Case 2:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (9) implies:
% 197.27/34.12  | |   (10)  all_56_2 = e2
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (5), (6), (10) are inconsistent by sub-proof #1715.
% 197.27/34.12  | | 
% 197.27/34.12  | End of split
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1365 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)  all_54_8 = e1 | all_54_8 = e0
% 197.27/34.12    (2)  all_54_8 = all_52_2
% 197.27/34.12    (3)   ~ (all_52_2 = e1)
% 197.27/34.12    (4)   ~ (all_52_2 = e0)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | BETA: splitting (1) gives:
% 197.27/34.12  | 
% 197.27/34.12  | Case 1:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (5)  all_54_8 = e1
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1367.
% 197.27/34.12  | | 
% 197.27/34.12  | Case 2:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (6)  all_54_8 = e0
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1366.
% 197.27/34.12  | | 
% 197.27/34.12  | End of split
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1366 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)  all_54_8 = all_52_2
% 197.27/34.12    (2)  all_54_8 = e0
% 197.27/34.12    (3)   ~ (all_52_2 = e0)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.12  |   (4)  all_52_2 = e0
% 197.27/34.12  | 
% 197.27/34.12  | SIMP: (4) implies:
% 197.27/34.12  |   (5)  all_52_2 = e0
% 197.27/34.12  | 
% 197.27/34.12  | REDUCE: (3), (5) imply:
% 197.27/34.12  |   (6)  $false
% 197.27/34.12  | 
% 197.27/34.12  | CLOSE: (6) is inconsistent.
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1367 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)  all_54_8 = all_52_2
% 197.27/34.12    (2)  all_54_8 = e1
% 197.27/34.12    (3)   ~ (all_52_2 = e1)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.12  |   (4)  all_52_2 = e1
% 197.27/34.12  | 
% 197.27/34.12  | SIMP: (4) implies:
% 197.27/34.12  |   (5)  all_52_2 = e1
% 197.27/34.12  | 
% 197.27/34.12  | REDUCE: (3), (5) imply:
% 197.27/34.12  |   (6)  $false
% 197.27/34.12  | 
% 197.27/34.12  | CLOSE: (6) is inconsistent.
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1368 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.12    (2)   ~ (all_52_9 = e1)
% 197.27/34.12    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.27/34.12           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.27/34.12           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.27/34.12                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 197.27/34.12               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.27/34.12               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.27/34.12           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 197.27/34.12           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.12               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.12           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.27/34.12               = all_57_5 & $i(all_57_5))))
% 197.27/34.12    (4)   ~ (e1 = e0)
% 197.27/34.12    (5)  op(e2, e1) = all_52_9
% 197.27/34.12    (6)  op(e2, e2) = e0
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | BETA: splitting (3) gives:
% 197.27/34.12  | 
% 197.27/34.12  | Case 1:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.27/34.12  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.27/34.12  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.27/34.12  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 197.27/34.12  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.27/34.12  | |            & $i(all_57_8)))
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (7) implies:
% 197.27/34.12  | |   (8)  op(e2, e2) = e1
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1909.
% 197.27/34.12  | | 
% 197.27/34.12  | Case 2:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.27/34.12  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.27/34.12  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 197.27/34.12  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.27/34.12  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.27/34.12  | |            & $i(all_57_5)))
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (9) implies:
% 197.27/34.12  | |   (10)  op(e2, e1) = e1
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1755.
% 197.27/34.12  | | 
% 197.27/34.12  | End of split
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1369 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)   ~ (e3 = e2)
% 197.27/34.12    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.12    (3)  op(e3, e3) = e1
% 197.27/34.12    (4)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.27/34.12           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.27/34.12           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.27/34.12                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.27/34.12               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.27/34.12               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.27/34.12           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.27/34.12           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.12             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.12           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.12               = all_57_1 & $i(all_57_1))))
% 197.27/34.12    (5)   ~ (e1 = e0)
% 197.27/34.12    (6)  op(e0, e0) = e2
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | BETA: splitting (4) gives:
% 197.27/34.12  | 
% 197.27/34.12  | Case 1:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.27/34.12  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.27/34.12  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 197.27/34.12  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 197.27/34.12  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.27/34.12  | |            all_57_13 & $i(all_57_13)))
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (7) implies:
% 197.27/34.12  | |   (8)  op(e3, e3) = e0
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1937.
% 197.27/34.12  | | 
% 197.27/34.12  | Case 2:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 197.27/34.12  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.27/34.12  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.27/34.12  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.27/34.12  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 197.27/34.12  | |            & $i(all_57_1)))
% 197.27/34.12  | | 
% 197.27/34.12  | | ALPHA: (9) implies:
% 197.27/34.12  | |   (10)  op(e0, e0) = e3
% 197.27/34.12  | | 
% 197.27/34.12  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1692.
% 197.27/34.12  | | 
% 197.27/34.12  | End of split
% 197.27/34.12  | 
% 197.27/34.12  End of proof
% 197.27/34.12  
% 197.27/34.12  Sub-proof #1370 shows that the following formulas are inconsistent:
% 197.27/34.12  ----------------------------------------------------------------
% 197.27/34.12    (1)  op(e1, e3) = all_52_2
% 197.27/34.12    (2)   ~ (e3 = e2)
% 197.27/34.12    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.12    (4)  op(e1, e3) = e2
% 197.27/34.12    (5)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.27/34.12           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.27/34.12           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 197.27/34.12                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.27/34.12               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.27/34.12               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.27/34.12           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 197.27/34.12           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.27/34.12               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.12           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.27/34.12               = all_57_2 & $i(all_57_2))))
% 197.27/34.12    (6)   ~ (all_52_2 = e1)
% 197.27/34.12  
% 197.27/34.12  Begin of proof
% 197.27/34.12  | 
% 197.27/34.12  | BETA: splitting (5) gives:
% 197.27/34.12  | 
% 197.27/34.12  | Case 1:
% 197.27/34.12  | | 
% 197.27/34.12  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.27/34.12  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.27/34.12  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 197.27/34.12  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 197.27/34.12  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.27/34.12  | |            & $i(all_57_8)))
% 197.27/34.12  | | 
% 197.27/34.13  | | ALPHA: (7) implies:
% 197.27/34.13  | |   (8)  op(e1, e3) = e3
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1371.
% 197.27/34.13  | | 
% 197.27/34.13  | Case 2:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 197.27/34.13  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.27/34.13  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.27/34.13  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.27/34.13  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 197.27/34.13  | |            & $i(all_57_2)))
% 197.27/34.13  | | 
% 197.27/34.13  | | ALPHA: (9) implies:
% 197.27/34.13  | |   (10)  op(e1, e3) = e1
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1974.
% 197.27/34.13  | | 
% 197.27/34.13  | End of split
% 197.27/34.13  | 
% 197.27/34.13  End of proof
% 197.27/34.13  
% 197.27/34.13  Sub-proof #1371 shows that the following formulas are inconsistent:
% 197.27/34.13  ----------------------------------------------------------------
% 197.27/34.13    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.13    (2)  op(e1, e3) = e3
% 197.27/34.13    (3)  op(e1, e3) = e2
% 197.27/34.13    (4)   ~ (e3 = e2)
% 197.27/34.13  
% 197.27/34.13  Begin of proof
% 197.27/34.13  | 
% 197.27/34.13  | GROUND_INST: instantiating (1) with e2, e3, e3, e1, simplifying with (2), (3)
% 197.27/34.13  |              gives:
% 197.27/34.13  |   (5)  e3 = e2
% 197.27/34.13  | 
% 197.27/34.13  | REDUCE: (4), (5) imply:
% 197.27/34.13  |   (6)  $false
% 197.27/34.13  | 
% 197.27/34.13  | CLOSE: (6) is inconsistent.
% 197.27/34.13  | 
% 197.27/34.13  End of proof
% 197.27/34.13  
% 197.27/34.13  Sub-proof #1372 shows that the following formulas are inconsistent:
% 197.27/34.13  ----------------------------------------------------------------
% 197.27/34.13    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.13         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.13    (2)  op(e1, e3) = all_52_2
% 197.27/34.13    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.13         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.13    (4)   ~ (all_52_1 = all_52_9)
% 197.27/34.13    (5)  all_54_2 = all_52_8
% 197.27/34.13    (6)   ~ (e3 = e2)
% 197.27/34.13    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.13    (8)  op(e3, e2) = all_52_4
% 197.27/34.13    (9)  op(e2, e2) = all_4_2
% 197.27/34.13    (10)   ~ (all_52_9 = e0)
% 197.27/34.13    (11)  op(e3, e3) = e1
% 197.27/34.13    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.13          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.13    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.13          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.13    (14)   ~ (all_52_4 = all_52_8)
% 197.27/34.13    (15)  all_56_9 = e0
% 197.27/34.13    (16)   ~ (all_52_14 = e3)
% 197.27/34.13    (17)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.27/34.13          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 197.27/34.13            e2)
% 197.27/34.13    (18)  op(e0, e3) = e0
% 197.27/34.13    (19)  op(e1, e0) = all_52_14
% 197.27/34.13    (20)  op(e3, e0) = e0
% 197.27/34.13    (21)   ~ (all_52_8 = all_52_9)
% 197.27/34.13    (22)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.13              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.13            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.13            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.13            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.13            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.27/34.13            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.27/34.13            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.13            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.27/34.13            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.13            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.13            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.27/34.13            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.13            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.13            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.13            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.13            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.13            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.27/34.13            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.13            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.13            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.27/34.13            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.13            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.13            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.27/34.13            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.13            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.13            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.13            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.13            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.13            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.27/34.13            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.13            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.13            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.13            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.13            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.13            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.13            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.13            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.13            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.13            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.13            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.13            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.27/34.13            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.13            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.13            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.27/34.13            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.13            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.13            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.27/34.13              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.27/34.13            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.13            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.27/34.13              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.13            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.13            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.27/34.13                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.13                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.13                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.13                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.13                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.27/34.13                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.27/34.13                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.13              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.13                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.27/34.13                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.13                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.27/34.13                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.27/34.13                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.13                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.13                $i(all_57_7))))
% 197.27/34.13    (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.27/34.13          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.27/34.13    (24)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.27/34.13          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.27/34.13    (25)   ~ (all_52_8 = e1)
% 197.27/34.13    (26)  op(e0, e1) = all_52_11
% 197.27/34.13    (27)  op(e1, e1) = e0
% 197.27/34.13    (28)   ~ (all_4_2 = e3)
% 197.27/34.13    (29)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 197.27/34.13    (30)   ~ (e1 = e0)
% 197.27/34.13    (31)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.27/34.13          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.27/34.13    (32)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.13          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.13    (33)   ~ (e2 = e1)
% 197.27/34.13    (34)   ~ (all_52_11 = e0)
% 197.27/34.13    (35)   ~ (all_52_2 = e1)
% 197.27/34.13    (36)  op(e2, e1) = all_52_9
% 197.27/34.13    (37)  all_56_12 = e0
% 197.27/34.13    (38)  op(e3, e1) = all_52_8
% 197.27/34.13    (39)  op(e2, e2) = e0
% 197.27/34.13    (40)   ~ (e3 = e1)
% 197.27/34.13    (41)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.13          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.13    (42)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.13          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.13    (43)   ~ (e2 = e0)
% 197.27/34.13    (44)  op(e2, e3) = all_52_1
% 197.27/34.13    (45)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.13    (46)   ~ (all_52_8 = e0)
% 197.27/34.13    (47)   ~ (e3 = e0)
% 197.27/34.13  
% 197.27/34.13  Begin of proof
% 197.27/34.13  | 
% 197.27/34.13  | BETA: splitting (45) gives:
% 197.27/34.13  | 
% 197.27/34.13  | Case 1:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (48)  all_56_11 = e3 & op(e1, e0) = e3
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (7), (16), (19), (48) are inconsistent by sub-proof #1407.
% 197.27/34.13  | | 
% 197.27/34.13  | Case 2:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (49)  all_56_15 = e3 & op(e0, e0) = e3
% 197.27/34.13  | | 
% 197.27/34.13  | | ALPHA: (49) implies:
% 197.27/34.13  | |   (50)  op(e0, e0) = e3
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 197.27/34.13  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 197.27/34.13  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 197.27/34.13  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (46),
% 197.27/34.13  | |            (47), (50) are inconsistent by sub-proof #1379.
% 197.27/34.13  | | 
% 197.27/34.13  | End of split
% 197.27/34.13  | 
% 197.27/34.13  End of proof
% 197.27/34.13  
% 197.27/34.13  Sub-proof #1373 shows that the following formulas are inconsistent:
% 197.27/34.13  ----------------------------------------------------------------
% 197.27/34.13    (1)  op(e1, e2) = all_52_6
% 197.27/34.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.13    (3)   ~ (all_52_6 = e3)
% 197.27/34.13    (4)   ~ (e3 = e1)
% 197.27/34.13    (5)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.27/34.13    (6)  all_56_13 = e1
% 197.27/34.13  
% 197.27/34.13  Begin of proof
% 197.27/34.13  | 
% 197.27/34.13  | BETA: splitting (5) gives:
% 197.27/34.13  | 
% 197.27/34.13  | Case 1:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (7)  all_56_7 = e3 & op(e1, e2) = e3
% 197.27/34.13  | | 
% 197.27/34.13  | | ALPHA: (7) implies:
% 197.27/34.13  | |   (8)  op(e1, e2) = e3
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1408.
% 197.27/34.13  | | 
% 197.27/34.13  | Case 2:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (9)  all_56_13 = e3 & op(e0, e2) = e3
% 197.27/34.13  | | 
% 197.27/34.13  | | ALPHA: (9) implies:
% 197.27/34.13  | |   (10)  all_56_13 = e3
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (4), (6), (10) are inconsistent by sub-proof #1864.
% 197.27/34.13  | | 
% 197.27/34.13  | End of split
% 197.27/34.13  | 
% 197.27/34.13  End of proof
% 197.27/34.13  
% 197.27/34.13  Sub-proof #1374 shows that the following formulas are inconsistent:
% 197.27/34.13  ----------------------------------------------------------------
% 197.27/34.13    (1)  all_56_12 = e3 & op(e0, e3) = e3
% 197.27/34.13    (2)   ~ (e3 = e2)
% 197.27/34.13    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.13    (4)  op(e3, e3) = e1
% 197.27/34.13    (5)  all_56_9 = e0
% 197.27/34.13    (6)  op(e3, e0) = e0
% 197.27/34.13    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.27/34.13         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.27/34.13    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.27/34.13         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.27/34.13    (9)   ~ (e2 = e1)
% 197.27/34.13    (10)  all_56_12 = e0
% 197.27/34.13    (11)  all_56_1 = e3
% 197.27/34.13    (12)   ~ (e3 = e1)
% 197.27/34.13    (13)   ~ (e2 = e0)
% 197.27/34.13    (14)   ~ (e3 = e0)
% 197.27/34.13  
% 197.27/34.13  Begin of proof
% 197.27/34.13  | 
% 197.27/34.13  | ALPHA: (1) implies:
% 197.27/34.13  |   (15)  all_56_12 = e3
% 197.27/34.13  | 
% 197.27/34.13  | COMBINE_EQS: (10), (15) imply:
% 197.27/34.13  |   (16)  e3 = e0
% 197.27/34.13  | 
% 197.27/34.13  | SIMP: (16) implies:
% 197.27/34.13  |   (17)  e3 = e0
% 197.27/34.13  | 
% 197.27/34.13  | COMBINE_EQS: (11), (17) imply:
% 197.27/34.13  |   (18)  all_56_1 = e0
% 197.27/34.13  | 
% 197.27/34.13  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (12), (13), (14), (18) are
% 197.27/34.13  |            inconsistent by sub-proof #1416.
% 197.27/34.13  | 
% 197.27/34.13  End of proof
% 197.27/34.13  
% 197.27/34.13  Sub-proof #1375 shows that the following formulas are inconsistent:
% 197.27/34.13  ----------------------------------------------------------------
% 197.27/34.13    (1)  all_54_7 = all_52_13
% 197.27/34.13    (2)   ~ (all_52_13 = e2)
% 197.27/34.13    (3)   ~ (all_52_13 = e1)
% 197.27/34.13    (4)   ~ (all_52_13 = e0)
% 197.27/34.13    (5)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.27/34.13  
% 197.27/34.13  Begin of proof
% 197.27/34.13  | 
% 197.27/34.13  | BETA: splitting (5) gives:
% 197.27/34.13  | 
% 197.27/34.13  | Case 1:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (6)  all_54_7 = e2
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #1483.
% 197.27/34.13  | | 
% 197.27/34.13  | Case 2:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (7)  all_54_7 = e1 | all_54_7 = e0
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1376.
% 197.27/34.13  | | 
% 197.27/34.13  | End of split
% 197.27/34.13  | 
% 197.27/34.13  End of proof
% 197.27/34.13  
% 197.27/34.13  Sub-proof #1376 shows that the following formulas are inconsistent:
% 197.27/34.13  ----------------------------------------------------------------
% 197.27/34.13    (1)  all_54_7 = e1 | all_54_7 = e0
% 197.27/34.13    (2)  all_54_7 = all_52_13
% 197.27/34.13    (3)   ~ (all_52_13 = e1)
% 197.27/34.13    (4)   ~ (all_52_13 = e0)
% 197.27/34.13  
% 197.27/34.13  Begin of proof
% 197.27/34.13  | 
% 197.27/34.13  | BETA: splitting (1) gives:
% 197.27/34.13  | 
% 197.27/34.13  | Case 1:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (5)  all_54_7 = e1
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1446.
% 197.27/34.13  | | 
% 197.27/34.13  | Case 2:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (6)  all_54_7 = e0
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1477.
% 197.27/34.13  | | 
% 197.27/34.13  | End of split
% 197.27/34.13  | 
% 197.27/34.13  End of proof
% 197.27/34.13  
% 197.27/34.13  Sub-proof #1377 shows that the following formulas are inconsistent:
% 197.27/34.13  ----------------------------------------------------------------
% 197.27/34.13    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.13         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.13    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.13    (3)  op(e3, e3) = e1
% 197.27/34.13    (4)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.13             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.13           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.13               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.13             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.13         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.27/34.13             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.13           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.13               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.13             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.27/34.13    (5)  op(e3, e2) = e3
% 197.27/34.13    (6)   ~ (e1 = e0)
% 197.27/34.13    (7)  all_56_6 = e3
% 197.27/34.13    (8)   ~ (e2 = e1)
% 197.27/34.13    (9)  all_56_2 = e2
% 197.27/34.13    (10)  all_56_12 = e0
% 197.27/34.13    (11)   ~ (e3 = e1)
% 197.27/34.13  
% 197.27/34.13  Begin of proof
% 197.27/34.13  | 
% 197.27/34.13  | BETA: splitting (4) gives:
% 197.27/34.13  | 
% 197.27/34.13  | Case 1:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (12)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.13  | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.27/34.13  | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.13  | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.27/34.13  | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.27/34.13  | |               e3) = all_57_2 & $i(all_57_2)))
% 197.27/34.13  | | 
% 197.27/34.13  | | ALPHA: (12) implies:
% 197.27/34.13  | |   (13)  op(e3, e3) = e3
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (1), (2), (6), (7), (8), (9), (10), (11), (13) are inconsistent
% 197.27/34.13  | |            by sub-proof #1568.
% 197.27/34.13  | | 
% 197.27/34.13  | Case 2:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (14)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.13  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.27/34.13  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.13  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.27/34.13  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.13  | |               e2) = all_57_5 & $i(all_57_5)))
% 197.27/34.13  | | 
% 197.27/34.13  | | ALPHA: (14) implies:
% 197.27/34.13  | |   (15)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 197.27/34.13  | |             e2) = all_57_3 & $i(all_57_3))
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (2), (3), (5), (8), (15) are inconsistent by sub-proof #1888.
% 197.27/34.13  | | 
% 197.27/34.13  | End of split
% 197.27/34.13  | 
% 197.27/34.13  End of proof
% 197.27/34.13  
% 197.27/34.13  Sub-proof #1378 shows that the following formulas are inconsistent:
% 197.27/34.13  ----------------------------------------------------------------
% 197.27/34.13    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.13    (2)  op(e3, e3) = e1
% 197.27/34.13    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.27/34.13           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.27/34.13           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.27/34.13                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 197.27/34.13               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.27/34.13               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.27/34.13           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 197.27/34.13           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.13               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.13           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.27/34.13               = all_57_5 & $i(all_57_5))))
% 197.27/34.13    (4)  op(e3, e2) = e3
% 197.27/34.13    (5)   ~ (e1 = e0)
% 197.27/34.13    (6)   ~ (e2 = e1)
% 197.27/34.13    (7)  op(e2, e2) = e0
% 197.27/34.13  
% 197.27/34.13  Begin of proof
% 197.27/34.13  | 
% 197.27/34.13  | BETA: splitting (3) gives:
% 197.27/34.13  | 
% 197.27/34.13  | Case 1:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (8)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.27/34.13  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.27/34.13  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.27/34.13  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 197.27/34.13  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.27/34.13  | |            & $i(all_57_8)))
% 197.27/34.13  | | 
% 197.27/34.13  | | ALPHA: (8) implies:
% 197.27/34.13  | |   (9)  op(e2, e2) = e1
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (1), (5), (7), (9) are inconsistent by sub-proof #1909.
% 197.27/34.13  | | 
% 197.27/34.13  | Case 2:
% 197.27/34.13  | | 
% 197.27/34.13  | |   (10)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.27/34.13  | |         all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.27/34.13  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 197.27/34.13  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 197.27/34.13  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.27/34.13  | |             all_57_5 & $i(all_57_5)))
% 197.27/34.13  | | 
% 197.27/34.13  | | ALPHA: (10) implies:
% 197.27/34.13  | |   (11)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 197.27/34.13  | |             e2) = all_57_3 & $i(all_57_3))
% 197.27/34.13  | | 
% 197.27/34.13  | | REF_CLOSE: (1), (2), (4), (6), (11) are inconsistent by sub-proof #1888.
% 197.27/34.13  | | 
% 197.27/34.13  | End of split
% 197.27/34.13  | 
% 197.27/34.13  End of proof
% 197.27/34.13  
% 197.27/34.13  Sub-proof #1379 shows that the following formulas are inconsistent:
% 197.27/34.13  ----------------------------------------------------------------
% 197.27/34.13    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.13         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.13    (2)  op(e1, e3) = all_52_2
% 197.27/34.13    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.13         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.13    (4)   ~ (all_52_1 = all_52_9)
% 197.27/34.13    (5)  all_54_2 = all_52_8
% 197.27/34.13    (6)   ~ (e3 = e2)
% 197.27/34.13    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.13           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.13    (8)  op(e3, e2) = all_52_4
% 197.27/34.13    (9)  op(e2, e2) = all_4_2
% 197.27/34.13    (10)   ~ (all_52_9 = e0)
% 197.27/34.13    (11)  op(e3, e3) = e1
% 197.27/34.13    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.13          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.13    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.13          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.13    (14)   ~ (all_52_4 = all_52_8)
% 197.27/34.13    (15)  all_56_9 = e0
% 197.27/34.13    (16)   ~ (all_52_14 = e3)
% 197.27/34.13    (17)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.27/34.13          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 197.27/34.13            e2)
% 197.27/34.13    (18)  op(e0, e3) = e0
% 197.27/34.13    (19)  op(e1, e0) = all_52_14
% 197.27/34.13    (20)  op(e3, e0) = e0
% 197.27/34.13    (21)   ~ (all_52_8 = all_52_9)
% 197.27/34.13    (22)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.13              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.13            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.13            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.13            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.13            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.27/34.13            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.27/34.13            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.13            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.27/34.13            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.13            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.13            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.27/34.13            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.13            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.13            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.13            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.13            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.13            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.27/34.13            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.13            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.13            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.27/34.13            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.13            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.13            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.27/34.13            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.13            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.13            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.13            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.13            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.13            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.27/34.13            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.13            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.13            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.13            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.13            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.13            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.13            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.13            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.13            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.13            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.13            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.13            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.27/34.13            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.13            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.13            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.27/34.13            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.13            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.13            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.27/34.13              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.27/34.13            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.13            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.27/34.13              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.13            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.13            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.27/34.13                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.13                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.13                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.13                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.13                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.27/34.13                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.27/34.13                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.13              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.13                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.27/34.13                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.13                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.27/34.13                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.27/34.13                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.13                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.13                $i(all_57_7))))
% 197.27/34.13    (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.27/34.13          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.27/34.13    (24)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.27/34.13          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.27/34.13    (25)   ~ (all_52_8 = e1)
% 197.27/34.13    (26)  op(e0, e1) = all_52_11
% 197.27/34.13    (27)  op(e1, e1) = e0
% 197.27/34.13    (28)   ~ (all_4_2 = e3)
% 197.27/34.13    (29)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 197.27/34.13    (30)   ~ (e1 = e0)
% 197.27/34.13    (31)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.27/34.13          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.27/34.13    (32)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.13          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.13    (33)   ~ (e2 = e1)
% 197.27/34.13    (34)   ~ (all_52_11 = e0)
% 197.27/34.13    (35)   ~ (all_52_2 = e1)
% 197.27/34.13    (36)  op(e2, e1) = all_52_9
% 197.27/34.13    (37)  all_56_12 = e0
% 197.27/34.13    (38)  op(e3, e1) = all_52_8
% 197.27/34.14    (39)  op(e0, e0) = e3
% 197.27/34.14    (40)  op(e2, e2) = e0
% 197.27/34.14    (41)   ~ (e3 = e1)
% 197.27/34.14    (42)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.14          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.14    (43)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.14          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.14    (44)   ~ (e2 = e0)
% 197.27/34.14    (45)  op(e2, e3) = all_52_1
% 197.27/34.14    (46)   ~ (all_52_8 = e0)
% 197.27/34.14    (47)   ~ (e3 = e0)
% 197.27/34.14  
% 197.27/34.14  Begin of proof
% 197.27/34.14  | 
% 197.27/34.14  | BETA: splitting (22) gives:
% 197.27/34.14  | 
% 197.27/34.14  | Case 1:
% 197.27/34.14  | | 
% 197.27/34.14  | |   (48)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 197.27/34.14  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.14  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 197.27/34.14  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 197.27/34.14  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.27/34.14  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 197.27/34.14  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 197.27/34.14  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 197.27/34.14  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.27/34.14  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 197.27/34.14  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.27/34.14  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 197.27/34.14  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 197.27/34.14  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.14  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.27/34.14  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 197.27/34.14  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.27/34.14  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 197.27/34.14  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 197.27/34.14  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 197.27/34.14  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.27/34.14  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.27/34.14  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.27/34.14  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.27/34.14  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.27/34.14  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.27/34.14  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.14  | | 
% 197.27/34.14  | | BETA: splitting (48) gives:
% 197.27/34.14  | | 
% 197.27/34.14  | | Case 1:
% 197.27/34.14  | | | 
% 197.27/34.14  | | |   (49)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.14  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.27/34.14  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.27/34.14  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 197.27/34.14  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.27/34.14  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.14  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 197.27/34.14  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.14  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.14  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 197.27/34.14  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.27/34.14  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 197.27/34.14  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.27/34.14  | | | 
% 197.27/34.14  | | | BETA: splitting (49) gives:
% 197.27/34.14  | | | 
% 197.27/34.14  | | | Case 1:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | |   (50)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.14  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.27/34.14  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.27/34.14  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 197.27/34.14  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.14  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 197.27/34.14  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | REF_CLOSE: (7), (18), (27), (47), (50) are inconsistent by sub-proof
% 197.27/34.14  | | | |            #1395.
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | Case 2:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | |   (51)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.27/34.14  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.27/34.14  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.27/34.14  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 197.27/34.14  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.14  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 197.27/34.14  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | REF_CLOSE: (2), (7), (9), (28), (35), (51) are inconsistent by sub-proof
% 197.27/34.14  | | | |            #1973.
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | End of split
% 197.27/34.14  | | | 
% 197.27/34.14  | | Case 2:
% 197.27/34.14  | | | 
% 197.27/34.14  | | |   (52)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.14  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.14  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.14  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 197.27/34.14  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.27/34.14  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.14  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 197.27/34.14  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 197.27/34.14  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 197.27/34.14  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 197.27/34.14  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 197.27/34.14  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 197.27/34.14  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 197.27/34.14  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.14  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.14  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.14  | | | 
% 197.27/34.14  | | | BETA: splitting (52) gives:
% 197.27/34.14  | | | 
% 197.27/34.14  | | | Case 1:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | |   (53)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.14  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.14  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.14  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.14  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 197.27/34.14  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.14  | | | |           $i(all_57_5) & $i(all_57_10))
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | REF_CLOSE: (6), (7), (27), (39), (44), (53) are inconsistent by
% 197.27/34.14  | | | |            sub-proof #1394.
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | Case 2:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | |   (54)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.27/34.14  | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.27/34.14  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.14  | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 197.27/34.14  | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.27/34.14  | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 197.27/34.14  | | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.27/34.14  | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 197.27/34.14  | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.27/34.14  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | BETA: splitting (54) gives:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | Case 1:
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | |   (55)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.27/34.14  | | | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.27/34.14  | | | | |         op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.14  | | | | |         $i(all_57_14)
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | ALPHA: (55) implies:
% 197.27/34.14  | | | | |   (56)  op(e3, e3) = e2
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | REF_CLOSE: (7), (11), (33), (56) are inconsistent by sub-proof #1934.
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | Case 2:
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | |   (57)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.27/34.14  | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 197.27/34.14  | | | | |           & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.14  | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 197.27/34.14  | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.14  | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.14  | | | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | REF_CLOSE: (6), (7), (30), (39), (40), (57) are inconsistent by
% 197.27/34.14  | | | | |            sub-proof #1393.
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | End of split
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | End of split
% 197.27/34.14  | | | 
% 197.27/34.14  | | End of split
% 197.27/34.14  | | 
% 197.27/34.14  | Case 2:
% 197.27/34.14  | | 
% 197.27/34.14  | |   (58)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 197.27/34.14  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.14  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 197.27/34.14  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 197.27/34.14  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.27/34.14  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 197.27/34.14  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 197.27/34.14  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.27/34.14  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.27/34.14  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.14  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.14  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.14  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 197.27/34.14  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 197.27/34.14  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.14  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 197.27/34.14  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.14  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 197.27/34.14  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.27/34.14  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.14  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 197.27/34.14  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 197.27/34.14  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 197.27/34.14  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.14  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 197.27/34.14  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.27/34.14  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 197.27/34.14  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 197.27/34.14  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.14  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 197.27/34.14  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.27/34.14  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.27/34.14  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.14  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.27/34.14  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.14  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.27/34.14  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 197.27/34.14  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.27/34.14  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.27/34.14  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.27/34.14  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.27/34.14  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.14  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.14  | |               $i(all_57_7))))
% 197.27/34.14  | | 
% 197.27/34.14  | | BETA: splitting (58) gives:
% 197.27/34.14  | | 
% 197.27/34.14  | | Case 1:
% 197.27/34.14  | | | 
% 197.27/34.14  | | |   (59)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.14  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.14  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.14  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 197.27/34.14  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.27/34.14  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.14  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 197.27/34.14  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 197.27/34.14  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 197.27/34.14  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 197.27/34.14  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 197.27/34.14  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.27/34.14  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 197.27/34.14  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.14  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.14  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.14  | | |           $i(all_57_13))
% 197.27/34.14  | | | 
% 197.27/34.14  | | | BETA: splitting (59) gives:
% 197.27/34.14  | | | 
% 197.27/34.14  | | | Case 1:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | |   (60)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.14  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.14  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.14  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 197.27/34.14  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 197.27/34.14  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 197.27/34.14  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | BETA: splitting (60) gives:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | Case 1:
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | |   (61)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.14  | | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.14  | | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.14  | | | | |         $i(all_57_10)
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | ALPHA: (61) implies:
% 197.27/34.14  | | | | |   (62)  op(e0, e0) = e1
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | REF_CLOSE: (7), (39), (41), (62) are inconsistent by sub-proof #1392.
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | Case 2:
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | |   (63)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.27/34.14  | | | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.14  | | | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.14  | | | | |         $i(all_57_12)
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | ALPHA: (63) implies:
% 197.27/34.14  | | | | |   (64)   ~ (all_57_12 = e1)
% 197.27/34.14  | | | | |   (65)   ~ (all_57_6 = e3)
% 197.27/34.14  | | | | |   (66)  op(e2, e1) = e2
% 197.27/34.14  | | | | |   (67)  op(e2, e2) = all_57_12
% 197.27/34.14  | | | | |   (68)  op(e3, e1) = all_57_6
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | GROUND_INST: instantiating (7) with all_52_9, e2, e1, e2, simplifying
% 197.27/34.14  | | | | |              with (36), (66) gives:
% 197.27/34.14  | | | | |   (69)  all_52_9 = e2
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | GROUND_INST: instantiating (7) with e0, all_57_12, e2, e2, simplifying
% 197.27/34.14  | | | | |              with (40), (67) gives:
% 197.27/34.14  | | | | |   (70)  all_57_12 = e0
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | GROUND_INST: instantiating (7) with all_52_8, all_57_6, e1, e3,
% 197.27/34.14  | | | | |              simplifying with (38), (68) gives:
% 197.27/34.14  | | | | |   (71)  all_57_6 = all_52_8
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | REDUCE: (65), (71) imply:
% 197.27/34.14  | | | | |   (72)   ~ (all_52_8 = e3)
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | REDUCE: (64), (70) imply:
% 197.27/34.14  | | | | |   (73)   ~ (e1 = e0)
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | REDUCE: (4), (69) imply:
% 197.27/34.14  | | | | |   (74)   ~ (all_52_1 = e2)
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | REDUCE: (21), (69) imply:
% 197.27/34.14  | | | | |   (75)   ~ (all_52_8 = e2)
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | BETA: splitting (23) gives:
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | Case 1:
% 197.27/34.14  | | | | | | 
% 197.27/34.14  | | | | | |   (76)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3,
% 197.27/34.14  | | | | | |             e2) = e2)
% 197.27/34.14  | | | | | | 
% 197.27/34.14  | | | | | | BETA: splitting (76) gives:
% 197.27/34.14  | | | | | | 
% 197.27/34.14  | | | | | | Case 1:
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | |   (77)  all_56_0 = e2 & op(e3, e3) = e2
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | | ALPHA: (77) implies:
% 197.27/34.14  | | | | | | |   (78)  op(e3, e3) = e2
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | | REF_CLOSE: (7), (11), (33), (78) are inconsistent by sub-proof
% 197.27/34.14  | | | | | | |            #1934.
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | Case 2:
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | |   (79)  all_56_1 = e2 & op(e3, e2) = e2
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | | ALPHA: (79) implies:
% 197.27/34.14  | | | | | | |   (80)  all_56_1 = e2
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | | BETA: splitting (13) gives:
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | |   (81)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 &
% 197.27/34.14  | | | | | | | |           op(e2, e1) = e1)
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | | REF_CLOSE: (7), (25), (33), (38), (66), (81) are inconsistent by
% 197.27/34.14  | | | | | | | |            sub-proof #1391.
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | |   (82)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 197.27/34.14  | | | | | | | |           op(e0, e1) = e1)
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | | BETA: splitting (82) gives:
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | |   (83)  all_56_8 = e1 & op(e1, e1) = e1
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | ALPHA: (83) implies:
% 197.27/34.14  | | | | | | | | |   (84)  op(e1, e1) = e1
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | REF_CLOSE: (7), (27), (30), (84) are inconsistent by sub-proof
% 197.27/34.14  | | | | | | | | |            #1959.
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | |   (85)  all_56_14 = e1 & op(e0, e1) = e1
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | ALPHA: (85) implies:
% 197.27/34.14  | | | | | | | | |   (86)  all_56_14 = e1
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | BETA: splitting (17) gives:
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | |   (87)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2
% 197.27/34.14  | | | | | | | | | |           & op(e0, e2) = e2)
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | BETA: splitting (87) gives:
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | |   (88)  all_56_12 = e2 & op(e0, e3) = e2
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (15), (20), (23), (31), (33),
% 197.27/34.14  | | | | | | | | | | |            (37), (41), (44), (47), (80), (88) are
% 197.27/34.14  | | | | | | | | | | |            inconsistent by sub-proof #1390.
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | |   (89)  all_56_13 = e2 & op(e0, e2) = e2
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | ALPHA: (89) implies:
% 197.27/34.14  | | | | | | | | | | |   (90)  all_56_13 = e2
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | BETA: splitting (3) gives:
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | |   (91)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 197.27/34.14  | | | | | | | | | | | |           & op(e2, e3) = e2)
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | REF_CLOSE: (7), (11), (33), (45), (74), (91) are inconsistent
% 197.27/34.14  | | | | | | | | | | | |            by sub-proof #1469.
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | |   (92)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 197.27/34.14  | | | | | | | | | | | |           e2 & op(e0, e3) = e2)
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | BETA: splitting (92) gives:
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | |   (93)  all_56_6 = e2 & op(e1, e3) = e2
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (14), (16), (19),
% 197.27/34.14  | | | | | | | | | | | | |            (24), (27), (29), (30), (33), (35), (41), (42),
% 197.27/34.14  | | | | | | | | | | | | |            (43), (44), (46), (47), (64), (67), (72), (75),
% 197.27/34.14  | | | | | | | | | | | | |            (90), (93) are inconsistent by sub-proof #1387.
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | |   (94)  all_56_12 = e2 & op(e0, e3) = e2
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (15), (20), (23), (31), (33),
% 197.27/34.14  | | | | | | | | | | | | |            (37), (41), (44), (47), (80), (94) are
% 197.27/34.14  | | | | | | | | | | | | |            inconsistent by sub-proof #1390.
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | End of split
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | End of split
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | End of split
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | |   (95)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2
% 197.27/34.14  | | | | | | | | | |           & op(e0, e0) = e2)
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | REF_CLOSE: (6), (7), (33), (39), (86), (95) are inconsistent
% 197.27/34.14  | | | | | | | | | |            by sub-proof #1385.
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | End of split
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | End of split
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | End of split
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | End of split
% 197.27/34.14  | | | | | | 
% 197.27/34.14  | | | | | Case 2:
% 197.27/34.14  | | | | | | 
% 197.27/34.14  | | | | | |   (96)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3,
% 197.27/34.14  | | | | | |             e0) = e2)
% 197.27/34.14  | | | | | | 
% 197.27/34.14  | | | | | | BETA: splitting (96) gives:
% 197.27/34.14  | | | | | | 
% 197.27/34.14  | | | | | | Case 1:
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | |   (97)  all_56_4 = e2 & op(e3, e1) = e2
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | | ALPHA: (97) implies:
% 197.27/34.14  | | | | | | |   (98)  all_56_4 = e2
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | | BETA: splitting (13) gives:
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | |   (99)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 &
% 197.27/34.14  | | | | | | | |           op(e2, e1) = e1)
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | | REF_CLOSE: (7), (25), (33), (38), (66), (99) are inconsistent by
% 197.27/34.14  | | | | | | | |            sub-proof #1391.
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | |   (100)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 197.27/34.14  | | | | | | | |            op(e0, e1) = e1)
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | | BETA: splitting (100) gives:
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | |   (101)  all_56_8 = e1 & op(e1, e1) = e1
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | ALPHA: (101) implies:
% 197.27/34.14  | | | | | | | | |   (102)  op(e1, e1) = e1
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | REF_CLOSE: (7), (27), (30), (102) are inconsistent by
% 197.27/34.14  | | | | | | | | |            sub-proof #1959.
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | |   (103)  all_56_14 = e1 & op(e0, e1) = e1
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | ALPHA: (103) implies:
% 197.27/34.14  | | | | | | | | |   (104)  all_56_14 = e1
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | BETA: splitting (17) gives:
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | |   (105)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 197.27/34.14  | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | BETA: splitting (105) gives:
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | |   (106)  all_56_12 = e2 & op(e0, e3) = e2
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | REF_CLOSE: (6), (7), (12), (27), (32), (33), (37), (41),
% 197.27/34.14  | | | | | | | | | | |            (44), (47), (98), (104), (106) are inconsistent by
% 197.27/34.14  | | | | | | | | | | |            sub-proof #1384.
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | |   (107)  all_56_13 = e2 & op(e0, e2) = e2
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | ALPHA: (107) implies:
% 197.27/34.14  | | | | | | | | | | |   (108)  all_56_13 = e2
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | BETA: splitting (3) gives:
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | |   (109)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 197.27/34.14  | | | | | | | | | | | |            & op(e2, e3) = e2)
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | REF_CLOSE: (7), (11), (33), (45), (74), (109) are
% 197.27/34.14  | | | | | | | | | | | |            inconsistent by sub-proof #1469.
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | |   (110)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 197.27/34.14  | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | BETA: splitting (110) gives:
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | Case 1:
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | |   (111)  all_56_6 = e2 & op(e1, e3) = e2
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (14), (16), (19),
% 197.27/34.14  | | | | | | | | | | | | |            (24), (27), (29), (30), (33), (35), (41), (42),
% 197.27/34.14  | | | | | | | | | | | | |            (43), (44), (46), (47), (64), (67), (72), (75),
% 197.27/34.14  | | | | | | | | | | | | |            (108), (111) are inconsistent by sub-proof #1387.
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | |   (112)  all_56_12 = e2 & op(e0, e3) = e2
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | | REF_CLOSE: (6), (7), (12), (27), (32), (33), (37), (41),
% 197.27/34.14  | | | | | | | | | | | | |            (44), (47), (98), (104), (112) are inconsistent by
% 197.27/34.14  | | | | | | | | | | | | |            sub-proof #1384.
% 197.27/34.14  | | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | | End of split
% 197.27/34.14  | | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | | End of split
% 197.27/34.14  | | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | End of split
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | Case 2:
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | |   (113)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 197.27/34.14  | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | | REF_CLOSE: (6), (7), (33), (39), (104), (113) are
% 197.27/34.14  | | | | | | | | | |            inconsistent by sub-proof #1385.
% 197.27/34.14  | | | | | | | | | | 
% 197.27/34.14  | | | | | | | | | End of split
% 197.27/34.14  | | | | | | | | | 
% 197.27/34.14  | | | | | | | | End of split
% 197.27/34.14  | | | | | | | | 
% 197.27/34.14  | | | | | | | End of split
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | Case 2:
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | |   (114)  all_56_9 = e2 & op(e3, e0) = e2
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | | ALPHA: (114) implies:
% 197.27/34.14  | | | | | | |   (115)  all_56_9 = e2
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | | REF_CLOSE: (15), (44), (115) are inconsistent by sub-proof #1919.
% 197.27/34.14  | | | | | | | 
% 197.27/34.14  | | | | | | End of split
% 197.27/34.14  | | | | | | 
% 197.27/34.14  | | | | | End of split
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | End of split
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | Case 2:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | |   (116)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.14  | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.14  | | | |            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.14  | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 197.27/34.14  | | | |            (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.27/34.14  | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 197.27/34.14  | | | |            all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.27/34.14  | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.27/34.14  | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 197.27/34.14  | | | |            op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | REF_CLOSE: (7), (20), (39), (41), (47), (116) are inconsistent by
% 197.27/34.14  | | | |            sub-proof #1382.
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | End of split
% 197.27/34.14  | | | 
% 197.27/34.14  | | Case 2:
% 197.27/34.14  | | | 
% 197.27/34.14  | | |   (117)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.14  | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.14  | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.14  | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 197.27/34.14  | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.27/34.14  | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 197.27/34.14  | | |            e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 197.27/34.14  | | |            all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 197.27/34.14  | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.27/34.14  | | |            op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.27/34.14  | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.27/34.14  | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.14  | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.14  | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.14  | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.27/34.14  | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 197.27/34.14  | | |                & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.27/34.14  | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.27/34.14  | | |                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.14  | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.14  | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.27/34.14  | | |                op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.14  | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.14  | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 197.27/34.14  | | |                & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.14  | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 197.27/34.14  | | |                op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.27/34.14  | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.27/34.14  | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.27/34.14  | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.14  | | | 
% 197.27/34.14  | | | BETA: splitting (117) gives:
% 197.27/34.14  | | | 
% 197.27/34.14  | | | Case 1:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | |   (118)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.14  | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.14  | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.14  | | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 197.27/34.14  | | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.27/34.14  | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 197.27/34.14  | | | |            e1 & $i(all_57_9) & $i(all_57_14))
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | REF_CLOSE: (7), (11), (30), (118) are inconsistent by sub-proof #1936.
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | Case 2:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | |   (119)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.27/34.14  | | | |            (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.27/34.14  | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.14  | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 197.27/34.14  | | | |            (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.27/34.14  | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0)
% 197.27/34.14  | | | |            = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.27/34.14  | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 197.27/34.14  | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.27/34.14  | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.14  | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.27/34.14  | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.27/34.14  | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.14  | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.14  | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.27/34.14  | | | |                op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.14  | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.14  | | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.27/34.14  | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.14  | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 197.27/34.14  | | | |                & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 197.27/34.14  | | | |                e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.27/34.14  | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.27/34.14  | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | BETA: splitting (119) gives:
% 197.27/34.14  | | | | 
% 197.27/34.14  | | | | Case 1:
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | |   (120)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.27/34.14  | | | | |          (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.27/34.14  | | | | |          op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.14  | | | | |          $i(all_57_13)
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | ALPHA: (120) implies:
% 197.27/34.14  | | | | |   (121)   ~ (all_57_12 = e0)
% 197.27/34.14  | | | | |   (122)  op(e2, e2) = all_57_12
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | REF_CLOSE: (7), (40), (121), (122) are inconsistent by sub-proof
% 197.27/34.14  | | | | |            #1381.
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | Case 2:
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | |   (123)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.27/34.14  | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.14  | | | | |            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11)
% 197.27/34.14  | | | | |            & $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15)
% 197.27/34.14  | | | | |            & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) & 
% 197.27/34.14  | | | | |                ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2)
% 197.27/34.14  | | | | |                = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.27/34.14  | | | | |                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.27/34.14  | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.14  | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.27/34.14  | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.27/34.14  | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.27/34.14  | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.27/34.14  | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.27/34.14  | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.14  | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.14  | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.27/34.14  | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.14  | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.27/34.14  | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.27/34.14  | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.27/34.14  | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | BETA: splitting (123) gives:
% 197.27/34.14  | | | | | 
% 197.27/34.14  | | | | | Case 1:
% 197.27/34.14  | | | | | | 
% 197.27/34.14  | | | | | |   (124)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.27/34.14  | | | | | |          (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.14  | | | | | |          & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11)
% 197.27/34.14  | | | | | |          & $i(all_57_14)
% 197.27/34.14  | | | | | | 
% 197.27/34.14  | | | | | | ALPHA: (124) implies:
% 197.27/34.14  | | | | | |   (125)   ~ (all_57_14 = e0)
% 197.27/34.14  | | | | | |   (126)  op(e1, e1) = all_57_14
% 197.27/34.14  | | | | | | 
% 197.27/34.15  | | | | | | REF_CLOSE: (7), (27), (125), (126) are inconsistent by sub-proof
% 197.27/34.15  | | | | | |            #1636.
% 197.27/34.15  | | | | | | 
% 197.27/34.15  | | | | | Case 2:
% 197.27/34.15  | | | | | | 
% 197.27/34.15  | | | | | |   (127)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.27/34.15  | | | | | |              all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.27/34.15  | | | | | |                e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.27/34.15  | | | | | |              op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.27/34.15  | | | | | |              all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.27/34.15  | | | | | |                e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.15  | | | | | |              op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.27/34.15  | | | | | |              all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.27/34.15  | | | | | |                e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.27/34.15  | | | | | |              op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.27/34.15  | | | | | |              all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.27/34.15  | | | | | |                e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.15  | | | | | |              op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.15  | | | | | |              all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.27/34.15  | | | | | |                e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.15  | | | | | |              op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.27/34.15  | | | | | |              all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.27/34.15  | | | | | |                e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.27/34.15  | | | | | |              op(e0, e1) = e0 & $i(all_57_7)))
% 197.27/34.15  | | | | | | 
% 197.27/34.15  | | | | | | ALPHA: (127) implies:
% 197.27/34.15  | | | | | |   (128)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.27/34.15  | | | | | |            (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 197.27/34.15  | | | | | |            e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.27/34.15  | | | | | |            all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 197.27/34.15  | | | | | |            & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 197.27/34.15  | | | | | |            e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.15  | | | | | |            (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.27/34.15  | | | | | |            op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.15  | | | | | |          (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.15  | | | | | |            (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.27/34.15  | | | | | |            e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.15  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 197.27/34.15  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 197.27/34.15  | | | | | |            e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.27/34.15  | | | | | |            (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.27/34.15  | | | | | |            op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.27/34.15  | | | | | | 
% 197.27/34.15  | | | | | | REF_CLOSE: (7), (9), (11), (26), (27), (28), (30), (33), (34), (40),
% 197.27/34.15  | | | | | |            (44), (47), (128) are inconsistent by sub-proof #1380.
% 197.27/34.15  | | | | | | 
% 197.27/34.15  | | | | | End of split
% 197.27/34.15  | | | | | 
% 197.27/34.15  | | | | End of split
% 197.27/34.15  | | | | 
% 197.27/34.15  | | | End of split
% 197.27/34.15  | | | 
% 197.27/34.15  | | End of split
% 197.27/34.15  | | 
% 197.27/34.15  | End of split
% 197.27/34.15  | 
% 197.27/34.15  End of proof
% 197.27/34.15  
% 197.27/34.15  Sub-proof #1380 shows that the following formulas are inconsistent:
% 197.27/34.15  ----------------------------------------------------------------
% 197.27/34.15    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.15    (2)  op(e2, e2) = all_4_2
% 197.27/34.15    (3)  op(e3, e3) = e1
% 197.27/34.15    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.27/34.15             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.15           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.27/34.15           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.27/34.15             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.15           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.15           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.27/34.15           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.27/34.15           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.15           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.27/34.15           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.27/34.15         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.27/34.15             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.15           $i(all_57_7))
% 197.27/34.15    (5)  op(e0, e1) = all_52_11
% 197.27/34.15    (6)  op(e1, e1) = e0
% 197.27/34.15    (7)   ~ (all_4_2 = e3)
% 197.27/34.15    (8)   ~ (e1 = e0)
% 197.27/34.15    (9)   ~ (e2 = e1)
% 197.27/34.15    (10)   ~ (all_52_11 = e0)
% 197.27/34.15    (11)  op(e2, e2) = e0
% 197.27/34.15    (12)   ~ (e2 = e0)
% 197.27/34.15    (13)   ~ (e3 = e0)
% 197.27/34.15  
% 197.27/34.15  Begin of proof
% 197.27/34.15  | 
% 197.27/34.15  | BETA: splitting (4) gives:
% 197.27/34.15  | 
% 197.27/34.15  | Case 1:
% 197.27/34.15  | | 
% 197.27/34.15  | |   (14)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 197.27/34.15  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.27/34.15  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.27/34.15  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 197.27/34.15  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 197.27/34.15  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.27/34.15  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.27/34.15  | |           $i(all_57_3))
% 197.27/34.15  | | 
% 197.27/34.15  | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (13), (14) are inconsistent by
% 197.27/34.15  | |            sub-proof #1475.
% 197.27/34.15  | | 
% 197.27/34.15  | Case 2:
% 197.27/34.15  | | 
% 197.27/34.15  | |   (15)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.15  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.27/34.15  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.15  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.27/34.15  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.27/34.15  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.15  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.15  | |           $i(all_57_7))
% 197.27/34.15  | | 
% 197.27/34.15  | | BETA: splitting (15) gives:
% 197.27/34.15  | | 
% 197.27/34.15  | | Case 1:
% 197.27/34.15  | | | 
% 197.27/34.15  | | |   (16)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.15  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.15  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 197.27/34.15  | | | 
% 197.27/34.15  | | | ALPHA: (16) implies:
% 197.27/34.15  | | |   (17)  op(e1, e1) = e2
% 197.27/34.15  | | | 
% 197.27/34.15  | | | REF_CLOSE: (1), (6), (12), (17) are inconsistent by sub-proof #1821.
% 197.27/34.15  | | | 
% 197.27/34.15  | | Case 2:
% 197.27/34.15  | | | 
% 197.27/34.15  | | |   (18)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.27/34.15  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.15  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.27/34.15  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 197.27/34.15  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.27/34.15  | | | 
% 197.27/34.15  | | | REF_CLOSE: (1), (5), (8), (10), (11), (18) are inconsistent by sub-proof
% 197.27/34.15  | | |            #1807.
% 197.27/34.15  | | | 
% 197.27/34.15  | | End of split
% 197.27/34.15  | | 
% 197.27/34.15  | End of split
% 197.27/34.15  | 
% 197.27/34.15  End of proof
% 197.27/34.15  
% 197.27/34.15  Sub-proof #1381 shows that the following formulas are inconsistent:
% 197.27/34.15  ----------------------------------------------------------------
% 197.27/34.15    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.15    (2)  op(e2, e2) = all_57_12
% 197.27/34.15    (3)  op(e2, e2) = e0
% 197.27/34.15    (4)   ~ (all_57_12 = e0)
% 197.27/34.15  
% 197.27/34.15  Begin of proof
% 197.27/34.15  | 
% 197.27/34.15  | GROUND_INST: instantiating (1) with e0, all_57_12, e2, e2, simplifying with
% 197.27/34.15  |              (2), (3) gives:
% 197.27/34.15  |   (5)  all_57_12 = e0
% 197.27/34.15  | 
% 197.27/34.15  | REDUCE: (4), (5) imply:
% 197.27/34.15  |   (6)  $false
% 197.27/34.15  | 
% 197.27/34.15  | CLOSE: (6) is inconsistent.
% 197.27/34.15  | 
% 197.27/34.15  End of proof
% 197.27/34.15  
% 197.27/34.15  Sub-proof #1382 shows that the following formulas are inconsistent:
% 197.27/34.15  ----------------------------------------------------------------
% 197.27/34.15    (1)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 197.27/34.15             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.27/34.15           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 197.27/34.15           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 197.27/34.15           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 197.27/34.15           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.27/34.15           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 197.27/34.15           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.27/34.15           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.15    (3)  op(e3, e0) = e0
% 197.27/34.15    (4)  op(e0, e0) = e3
% 197.27/34.15    (5)   ~ (e3 = e1)
% 197.27/34.15    (6)   ~ (e3 = e0)
% 197.27/34.15  
% 197.27/34.15  Begin of proof
% 197.27/34.15  | 
% 197.27/34.15  | BETA: splitting (1) gives:
% 197.27/34.15  | 
% 197.27/34.15  | Case 1:
% 197.27/34.15  | | 
% 197.27/34.15  | |   (7)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 197.27/34.15  | |          e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.27/34.15  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 197.27/34.15  | | 
% 197.27/34.15  | | ALPHA: (7) implies:
% 197.27/34.15  | |   (8)  op(e0, e0) = e1
% 197.27/34.15  | | 
% 197.27/34.15  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1392.
% 197.27/34.15  | | 
% 197.27/34.15  | Case 2:
% 197.27/34.15  | | 
% 197.27/34.15  | |   (9)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 197.27/34.15  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 197.27/34.15  | |          e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 197.27/34.15  | |        (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 197.27/34.15  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 197.27/34.15  | |          e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.15  | | 
% 197.27/34.15  | | REF_CLOSE: (2), (3), (6), (9) are inconsistent by sub-proof #1383.
% 197.27/34.15  | | 
% 197.27/34.15  | End of split
% 197.27/34.15  | 
% 197.27/34.15  End of proof
% 197.27/34.15  
% 197.27/34.15  Sub-proof #1383 shows that the following formulas are inconsistent:
% 197.27/34.15  ----------------------------------------------------------------
% 197.27/34.15    (1)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 197.27/34.15             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.27/34.15           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 197.27/34.15           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.27/34.15           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 197.27/34.15           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.15    (3)  op(e3, e0) = e0
% 197.27/34.15    (4)   ~ (e3 = e0)
% 197.27/34.15  
% 197.27/34.15  Begin of proof
% 197.27/34.15  | 
% 197.27/34.15  | BETA: splitting (1) gives:
% 197.27/34.15  | 
% 197.27/34.15  | Case 1:
% 197.27/34.15  | | 
% 197.27/34.15  | |   (5)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 197.27/34.15  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 197.27/34.15  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 197.27/34.15  | | 
% 197.27/34.15  | | ALPHA: (5) implies:
% 197.27/34.15  | |   (6)  op(e3, e0) = e3
% 197.27/34.15  | | 
% 197.27/34.15  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #1793.
% 197.27/34.15  | | 
% 197.27/34.15  | Case 2:
% 197.27/34.15  | | 
% 197.27/34.15  | |   (7)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 197.27/34.15  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 197.27/34.15  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 197.27/34.15  | | 
% 197.27/34.15  | | ALPHA: (7) implies:
% 197.27/34.15  | |   (8)  op(e3, e0) = e3
% 197.27/34.15  | | 
% 197.27/34.15  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1793.
% 197.27/34.15  | | 
% 197.27/34.15  | End of split
% 197.27/34.15  | 
% 197.27/34.15  End of proof
% 197.27/34.15  
% 197.27/34.15  Sub-proof #1384 shows that the following formulas are inconsistent:
% 197.27/34.15  ----------------------------------------------------------------
% 197.27/34.15    (1)   ~ (e3 = e2)
% 197.27/34.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.15    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.15         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.15    (4)  all_56_12 = e2 & op(e0, e3) = e2
% 197.27/34.15    (5)  op(e1, e1) = e0
% 197.27/34.15    (6)  all_56_14 = e1
% 197.27/34.15    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.15         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.15    (8)  all_56_4 = e2
% 197.27/34.15    (9)   ~ (e2 = e1)
% 197.27/34.15    (10)  all_56_12 = e0
% 197.27/34.15    (11)   ~ (e3 = e1)
% 197.27/34.15    (12)   ~ (e2 = e0)
% 197.27/34.15    (13)   ~ (e3 = e0)
% 197.27/34.15  
% 197.27/34.15  Begin of proof
% 197.27/34.15  | 
% 197.27/34.15  | ALPHA: (4) implies:
% 197.27/34.15  |   (14)  all_56_12 = e2
% 197.27/34.15  | 
% 197.27/34.15  | COMBINE_EQS: (10), (14) imply:
% 197.27/34.15  |   (15)  e2 = e0
% 197.27/34.15  | 
% 197.27/34.15  | COMBINE_EQS: (8), (15) imply:
% 197.27/34.15  |   (16)  all_56_4 = e0
% 197.27/34.15  | 
% 197.27/34.15  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (11), (12), (13), (16) are
% 197.27/34.15  |            inconsistent by sub-proof #1810.
% 197.27/34.15  | 
% 197.27/34.15  End of proof
% 197.27/34.15  
% 197.27/34.15  Sub-proof #1385 shows that the following formulas are inconsistent:
% 197.27/34.15  ----------------------------------------------------------------
% 197.27/34.15    (1)   ~ (e3 = e2)
% 197.27/34.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.15    (3)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 197.27/34.15    (4)  all_56_14 = e1
% 197.27/34.15    (5)   ~ (e2 = e1)
% 197.27/34.15    (6)  op(e0, e0) = e3
% 197.27/34.15  
% 197.27/34.15  Begin of proof
% 197.27/34.15  | 
% 197.27/34.15  | BETA: splitting (3) gives:
% 197.27/34.15  | 
% 197.27/34.15  | Case 1:
% 197.27/34.15  | | 
% 197.27/34.15  | |   (7)  all_56_14 = e2 & op(e0, e1) = e2
% 197.27/34.15  | | 
% 197.27/34.15  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #1386.
% 197.27/34.15  | | 
% 197.27/34.15  | Case 2:
% 197.27/34.15  | | 
% 197.27/34.15  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 197.27/34.15  | | 
% 197.27/34.15  | | ALPHA: (8) implies:
% 197.27/34.15  | |   (9)  op(e0, e0) = e2
% 197.27/34.15  | | 
% 197.27/34.15  | | REF_CLOSE: (1), (2), (6), (9) are inconsistent by sub-proof #1692.
% 197.27/34.15  | | 
% 197.27/34.15  | End of split
% 197.27/34.15  | 
% 197.27/34.15  End of proof
% 197.27/34.15  
% 197.27/34.15  Sub-proof #1386 shows that the following formulas are inconsistent:
% 197.27/34.15  ----------------------------------------------------------------
% 197.27/34.15    (1)  all_56_14 = e2 & op(e0, e1) = e2
% 197.27/34.15    (2)  all_56_14 = e1
% 197.27/34.15    (3)   ~ (e2 = e1)
% 197.27/34.15  
% 197.27/34.15  Begin of proof
% 197.27/34.15  | 
% 197.27/34.15  | ALPHA: (1) implies:
% 197.27/34.15  |   (4)  all_56_14 = e2
% 197.27/34.15  | 
% 197.27/34.15  | COMBINE_EQS: (2), (4) imply:
% 197.27/34.15  |   (5)  e2 = e1
% 197.27/34.15  | 
% 197.27/34.15  | REDUCE: (3), (5) imply:
% 197.27/34.15  |   (6)  $false
% 197.27/34.15  | 
% 197.27/34.15  | CLOSE: (6) is inconsistent.
% 197.27/34.15  | 
% 197.27/34.15  End of proof
% 197.27/34.15  
% 197.27/34.15  Sub-proof #1387 shows that the following formulas are inconsistent:
% 197.27/34.15  ----------------------------------------------------------------
% 197.27/34.15    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.15         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.15    (2)  op(e1, e3) = all_52_2
% 197.27/34.15    (3)  all_54_2 = all_52_8
% 197.27/34.15    (4)   ~ (e3 = e2)
% 197.27/34.15    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.15    (6)  op(e3, e2) = all_52_4
% 197.27/34.15    (7)   ~ (all_52_4 = all_52_8)
% 197.27/34.15    (8)  all_56_13 = e2
% 197.27/34.15    (9)   ~ (all_52_8 = e3)
% 197.27/34.15    (10)   ~ (all_52_14 = e3)
% 197.27/34.15    (11)  op(e1, e0) = all_52_14
% 197.27/34.15    (12)  all_56_6 = e2 & op(e1, e3) = e2
% 197.27/34.15    (13)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.27/34.15          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.27/34.15    (14)  op(e1, e1) = e0
% 197.27/34.15    (15)   ~ (all_52_8 = e2)
% 197.27/34.15    (16)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 197.27/34.15    (17)   ~ (e1 = e0)
% 197.27/34.15    (18)  op(e2, e2) = all_57_12
% 197.27/34.15    (19)   ~ (e2 = e1)
% 197.27/34.15    (20)   ~ (all_52_2 = e1)
% 197.27/34.15    (21)   ~ (all_57_12 = e1)
% 197.27/34.15    (22)   ~ (e3 = e1)
% 197.27/34.15    (23)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.15          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.15    (24)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.15          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.15    (25)   ~ (e2 = e0)
% 197.27/34.15    (26)   ~ (all_52_8 = e0)
% 197.27/34.15    (27)   ~ (e3 = e0)
% 197.27/34.15  
% 197.27/34.15  Begin of proof
% 197.27/34.15  | 
% 197.27/34.15  | ALPHA: (12) implies:
% 197.27/34.15  |   (28)  all_56_6 = e2
% 197.27/34.15  | 
% 197.27/34.15  | BETA: splitting (24) gives:
% 197.27/34.15  | 
% 197.27/34.15  | Case 1:
% 197.27/34.15  | | 
% 197.27/34.15  | |   (29)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 197.27/34.15  | |           e3)
% 197.27/34.15  | | 
% 197.27/34.15  | | BETA: splitting (29) gives:
% 197.27/34.15  | | 
% 197.27/34.15  | | Case 1:
% 197.27/34.15  | | | 
% 197.27/34.15  | | |   (30)  all_56_6 = e3 & op(e1, e3) = e3
% 197.27/34.15  | | | 
% 197.27/34.15  | | | ALPHA: (30) implies:
% 197.27/34.15  | | |   (31)  all_56_6 = e3
% 197.27/34.15  | | | 
% 197.27/34.15  | | | REF_CLOSE: (4), (28), (31) are inconsistent by sub-proof #1504.
% 197.27/34.15  | | | 
% 197.27/34.15  | | Case 2:
% 197.27/34.15  | | | 
% 197.27/34.15  | | |   (32)  all_56_7 = e3 & op(e1, e2) = e3
% 197.27/34.15  | | | 
% 197.27/34.15  | | | ALPHA: (32) implies:
% 197.27/34.15  | | |   (33)  all_56_7 = e3
% 197.27/34.15  | | | 
% 197.27/34.15  | | | BETA: splitting (16) gives:
% 197.27/34.15  | | | 
% 197.27/34.15  | | | Case 1:
% 197.27/34.15  | | | | 
% 197.27/34.15  | | | |   (34)  all_54_2 = e3
% 197.27/34.15  | | | | 
% 197.27/34.15  | | | | COMBINE_EQS: (3), (34) imply:
% 197.27/34.15  | | | |   (35)  all_52_8 = e3
% 197.27/34.15  | | | | 
% 197.27/34.15  | | | | REDUCE: (9), (35) imply:
% 197.27/34.15  | | | |   (36)  $false
% 197.27/34.15  | | | | 
% 197.27/34.15  | | | | CLOSE: (36) is inconsistent.
% 197.27/34.15  | | | | 
% 197.27/34.15  | | | Case 2:
% 197.27/34.15  | | | | 
% 197.27/34.15  | | | |   (37)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 197.27/34.15  | | | | 
% 197.27/34.15  | | | | BETA: splitting (37) gives:
% 197.27/34.15  | | | | 
% 197.27/34.15  | | | | Case 1:
% 197.27/34.15  | | | | | 
% 197.27/34.15  | | | | |   (38)  all_54_2 = e2
% 197.27/34.15  | | | | | 
% 197.27/34.15  | | | | | COMBINE_EQS: (3), (38) imply:
% 197.27/34.15  | | | | |   (39)  all_52_8 = e2
% 197.27/34.15  | | | | | 
% 197.27/34.15  | | | | | REDUCE: (15), (39) imply:
% 197.27/34.15  | | | | |   (40)  $false
% 197.27/34.15  | | | | | 
% 197.27/34.15  | | | | | CLOSE: (40) is inconsistent.
% 197.27/34.15  | | | | | 
% 197.27/34.15  | | | | Case 2:
% 197.27/34.15  | | | | | 
% 197.27/34.15  | | | | |   (41)  all_54_2 = e1 | all_54_2 = e0
% 197.27/34.15  | | | | | 
% 197.27/34.15  | | | | | BETA: splitting (13) gives:
% 197.27/34.15  | | | | | 
% 197.27/34.15  | | | | | Case 1:
% 197.27/34.15  | | | | | | 
% 197.27/34.16  | | | | | |   (42)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1,
% 197.27/34.16  | | | | | |             e2) = e1)
% 197.27/34.16  | | | | | | 
% 197.27/34.16  | | | | | | BETA: splitting (42) gives:
% 197.27/34.16  | | | | | | 
% 197.27/34.16  | | | | | | Case 1:
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | |   (43)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | | ALPHA: (43) implies:
% 197.27/34.16  | | | | | | |   (44)  op(e1, e3) = e1
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | | REF_CLOSE: (2), (5), (20), (44) are inconsistent by sub-proof
% 197.27/34.16  | | | | | | |            #1974.
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | Case 2:
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | |   (45)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | | REF_CLOSE: (22), (33), (45) are inconsistent by sub-proof #1771.
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | End of split
% 197.27/34.16  | | | | | | 
% 197.27/34.16  | | | | | Case 2:
% 197.27/34.16  | | | | | | 
% 197.27/34.16  | | | | | |   (46)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1,
% 197.27/34.16  | | | | | |             e0) = e1)
% 197.27/34.16  | | | | | | 
% 197.27/34.16  | | | | | | BETA: splitting (46) gives:
% 197.27/34.16  | | | | | | 
% 197.27/34.16  | | | | | | Case 1:
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | |   (47)  all_56_8 = e1 & op(e1, e1) = e1
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | | ALPHA: (47) implies:
% 197.27/34.16  | | | | | | |   (48)  op(e1, e1) = e1
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | | REF_CLOSE: (5), (14), (17), (48) are inconsistent by sub-proof
% 197.27/34.16  | | | | | | |            #1959.
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | Case 2:
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | |   (49)  all_56_11 = e1 & op(e1, e0) = e1
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | | ALPHA: (49) implies:
% 197.27/34.16  | | | | | | |   (50)  all_56_11 = e1
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | | BETA: splitting (1) gives:
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | | Case 1:
% 197.27/34.16  | | | | | | | | 
% 197.27/34.16  | | | | | | | |   (51)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 &
% 197.27/34.16  | | | | | | | |           op(e2, e2) = e1)
% 197.27/34.16  | | | | | | | | 
% 197.27/34.16  | | | | | | | | BETA: splitting (51) gives:
% 197.27/34.16  | | | | | | | | 
% 197.27/34.16  | | | | | | | | Case 1:
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | |   (52)  all_56_1 = e1 & op(e3, e2) = e1
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | | REF_CLOSE: (3), (5), (6), (7), (26), (41), (52) are
% 197.27/34.16  | | | | | | | | |            inconsistent by sub-proof #1388.
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | Case 2:
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | |   (53)  all_56_3 = e1 & op(e2, e2) = e1
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | | ALPHA: (53) implies:
% 197.27/34.16  | | | | | | | | |   (54)  op(e2, e2) = e1
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | | REF_CLOSE: (5), (18), (21), (54) are inconsistent by sub-proof
% 197.27/34.16  | | | | | | | | |            #1890.
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | End of split
% 197.27/34.16  | | | | | | | | 
% 197.27/34.16  | | | | | | | Case 2:
% 197.27/34.16  | | | | | | | | 
% 197.27/34.16  | | | | | | | |   (55)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 &
% 197.27/34.16  | | | | | | | |           op(e0, e2) = e1)
% 197.27/34.16  | | | | | | | | 
% 197.27/34.16  | | | | | | | | BETA: splitting (55) gives:
% 197.27/34.16  | | | | | | | | 
% 197.27/34.16  | | | | | | | | Case 1:
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | |   (56)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | | REF_CLOSE: (22), (33), (56) are inconsistent by sub-proof
% 197.27/34.16  | | | | | | | | |            #1771.
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | Case 2:
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | |   (57)  all_56_13 = e1 & op(e0, e2) = e1
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | | ALPHA: (57) implies:
% 197.27/34.16  | | | | | | | | |   (58)  all_56_13 = e1
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | | COMBINE_EQS: (8), (58) imply:
% 197.27/34.16  | | | | | | | | |   (59)  e2 = e1
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | | COMBINE_EQS: (28), (59) imply:
% 197.27/34.16  | | | | | | | | |   (60)  all_56_6 = e1
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | | REF_CLOSE: (4), (5), (14), (19), (23), (25), (33), (50), (60)
% 197.27/34.16  | | | | | | | | |            are inconsistent by sub-proof #1613.
% 197.27/34.16  | | | | | | | | | 
% 197.27/34.16  | | | | | | | | End of split
% 197.27/34.16  | | | | | | | | 
% 197.27/34.16  | | | | | | | End of split
% 197.27/34.16  | | | | | | | 
% 197.27/34.16  | | | | | | End of split
% 197.27/34.16  | | | | | | 
% 197.27/34.16  | | | | | End of split
% 197.27/34.16  | | | | | 
% 197.27/34.16  | | | | End of split
% 197.27/34.16  | | | | 
% 197.27/34.16  | | | End of split
% 197.27/34.16  | | | 
% 197.27/34.16  | | End of split
% 197.27/34.16  | | 
% 197.27/34.16  | Case 2:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (61)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 197.27/34.16  | |           e3)
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (5), (10), (11), (14), (27), (61) are inconsistent by sub-proof
% 197.27/34.16  | |            #1406.
% 197.27/34.16  | | 
% 197.27/34.16  | End of split
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1388 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)  all_54_2 = all_52_8
% 197.27/34.16    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.16    (3)  op(e3, e2) = all_52_4
% 197.27/34.16    (4)   ~ (all_52_4 = all_52_8)
% 197.27/34.16    (5)  all_56_1 = e1 & op(e3, e2) = e1
% 197.27/34.16    (6)  all_54_2 = e1 | all_54_2 = e0
% 197.27/34.16    (7)   ~ (all_52_8 = e0)
% 197.27/34.16  
% 197.27/34.16  Begin of proof
% 197.27/34.16  | 
% 197.27/34.16  | ALPHA: (5) implies:
% 197.27/34.16  |   (8)  op(e3, e2) = e1
% 197.27/34.16  | 
% 197.27/34.16  | BETA: splitting (6) gives:
% 197.27/34.16  | 
% 197.27/34.16  | Case 1:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (9)  all_54_2 = e1
% 197.27/34.16  | | 
% 197.27/34.16  | | COMBINE_EQS: (1), (9) imply:
% 197.27/34.16  | |   (10)  all_52_8 = e1
% 197.27/34.16  | | 
% 197.27/34.16  | | SIMP: (10) implies:
% 197.27/34.16  | |   (11)  all_52_8 = e1
% 197.27/34.16  | | 
% 197.27/34.16  | | REDUCE: (4), (11) imply:
% 197.27/34.16  | |   (12)   ~ (all_52_4 = e1)
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (2), (3), (8), (12) are inconsistent by sub-proof #1910.
% 197.27/34.16  | | 
% 197.27/34.16  | Case 2:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (13)  all_54_2 = e0
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (1), (7), (13) are inconsistent by sub-proof #1389.
% 197.27/34.16  | | 
% 197.27/34.16  | End of split
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1389 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)  all_54_2 = all_52_8
% 197.27/34.16    (2)  all_54_2 = e0
% 197.27/34.16    (3)   ~ (all_52_8 = e0)
% 197.27/34.16  
% 197.27/34.16  Begin of proof
% 197.27/34.16  | 
% 197.27/34.16  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.16  |   (4)  all_52_8 = e0
% 197.27/34.16  | 
% 197.27/34.16  | SIMP: (4) implies:
% 197.27/34.16  |   (5)  all_52_8 = e0
% 197.27/34.16  | 
% 197.27/34.16  | REDUCE: (3), (5) imply:
% 197.27/34.16  |   (6)  $false
% 197.27/34.16  | 
% 197.27/34.16  | CLOSE: (6) is inconsistent.
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1390 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)   ~ (e3 = e2)
% 197.27/34.16    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.16    (3)  op(e3, e3) = e1
% 197.27/34.16    (4)  all_56_9 = e0
% 197.27/34.16    (5)  op(e3, e0) = e0
% 197.27/34.16    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.27/34.16         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.27/34.16    (7)  all_56_12 = e2 & op(e0, e3) = e2
% 197.27/34.16    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.27/34.16         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.27/34.16    (9)   ~ (e2 = e1)
% 197.27/34.16    (10)  all_56_12 = e0
% 197.27/34.16    (11)   ~ (e3 = e1)
% 197.27/34.16    (12)   ~ (e2 = e0)
% 197.27/34.16    (13)   ~ (e3 = e0)
% 197.27/34.16    (14)  all_56_1 = e2
% 197.27/34.16  
% 197.27/34.16  Begin of proof
% 197.27/34.16  | 
% 197.27/34.16  | ALPHA: (7) implies:
% 197.27/34.16  |   (15)  all_56_12 = e2
% 197.27/34.16  | 
% 197.27/34.16  | COMBINE_EQS: (10), (15) imply:
% 197.27/34.16  |   (16)  e2 = e0
% 197.27/34.16  | 
% 197.27/34.16  | COMBINE_EQS: (14), (16) imply:
% 197.27/34.16  |   (17)  all_56_1 = e0
% 197.27/34.16  | 
% 197.27/34.16  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (12), (13), (17) are
% 197.27/34.16  |            inconsistent by sub-proof #1416.
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1391 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.16    (2)   ~ (all_52_8 = e1)
% 197.27/34.16    (3)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 197.27/34.16    (4)   ~ (e2 = e1)
% 197.27/34.16    (5)  op(e3, e1) = all_52_8
% 197.27/34.16    (6)  op(e2, e1) = e2
% 197.27/34.16  
% 197.27/34.16  Begin of proof
% 197.27/34.16  | 
% 197.27/34.16  | BETA: splitting (3) gives:
% 197.27/34.16  | 
% 197.27/34.16  | Case 1:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 197.27/34.16  | | 
% 197.27/34.16  | | ALPHA: (7) implies:
% 197.27/34.16  | |   (8)  op(e3, e1) = e1
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1880.
% 197.27/34.16  | | 
% 197.27/34.16  | Case 2:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (9)  all_56_5 = e1 & op(e2, e1) = e1
% 197.27/34.16  | | 
% 197.27/34.16  | | ALPHA: (9) implies:
% 197.27/34.16  | |   (10)  op(e2, e1) = e1
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1441.
% 197.27/34.16  | | 
% 197.27/34.16  | End of split
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1392 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.16    (2)  op(e0, e0) = e3
% 197.27/34.16    (3)  op(e0, e0) = e1
% 197.27/34.16    (4)   ~ (e3 = e1)
% 197.27/34.16  
% 197.27/34.16  Begin of proof
% 197.27/34.16  | 
% 197.27/34.16  | GROUND_INST: instantiating (1) with e1, e3, e0, e0, simplifying with (2), (3)
% 197.27/34.16  |              gives:
% 197.27/34.16  |   (5)  e3 = e1
% 197.27/34.16  | 
% 197.27/34.16  | REDUCE: (4), (5) imply:
% 197.27/34.16  |   (6)  $false
% 197.27/34.16  | 
% 197.27/34.16  | CLOSE: (6) is inconsistent.
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1393 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)   ~ (e3 = e2)
% 197.27/34.16    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.16    (3)   ~ (e1 = e0)
% 197.27/34.16    (4)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 197.27/34.16             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.27/34.16           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 197.27/34.16           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 197.27/34.16           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 197.27/34.16           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.16    (5)  op(e0, e0) = e3
% 197.27/34.16    (6)  op(e2, e2) = e0
% 197.27/34.16  
% 197.27/34.16  Begin of proof
% 197.27/34.16  | 
% 197.27/34.16  | BETA: splitting (4) gives:
% 197.27/34.16  | 
% 197.27/34.16  | Case 1:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (7)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 197.27/34.16  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.27/34.16  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 197.27/34.16  | | 
% 197.27/34.16  | | ALPHA: (7) implies:
% 197.27/34.16  | |   (8)  op(e0, e0) = e2
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1692.
% 197.27/34.16  | | 
% 197.27/34.16  | Case 2:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.27/34.16  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.27/34.16  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 197.27/34.16  | | 
% 197.27/34.16  | | ALPHA: (9) implies:
% 197.27/34.16  | |   (10)  op(e2, e2) = e1
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1909.
% 197.27/34.16  | | 
% 197.27/34.16  | End of split
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1394 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.27/34.16             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.16           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 197.27/34.16           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.27/34.16           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 197.27/34.16           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 197.27/34.16    (2)   ~ (e3 = e2)
% 197.27/34.16    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.16    (4)  op(e1, e1) = e0
% 197.27/34.16    (5)  op(e0, e0) = e3
% 197.27/34.16    (6)   ~ (e2 = e0)
% 197.27/34.16  
% 197.27/34.16  Begin of proof
% 197.27/34.16  | 
% 197.27/34.16  | BETA: splitting (1) gives:
% 197.27/34.16  | 
% 197.27/34.16  | Case 1:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (7)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.27/34.16  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.16  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 197.27/34.16  | | 
% 197.27/34.16  | | ALPHA: (7) implies:
% 197.27/34.16  | |   (8)  op(e1, e1) = e2
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1821.
% 197.27/34.16  | | 
% 197.27/34.16  | Case 2:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (9)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.27/34.16  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.27/34.16  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 197.27/34.16  | | 
% 197.27/34.16  | | ALPHA: (9) implies:
% 197.27/34.16  | |   (10)  op(e0, e0) = e2
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1692.
% 197.27/34.16  | | 
% 197.27/34.16  | End of split
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1395 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.16             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.16           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.16           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.16           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.16           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.16    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.16    (3)  op(e0, e3) = e0
% 197.27/34.16    (4)  op(e1, e1) = e0
% 197.27/34.16    (5)   ~ (e3 = e0)
% 197.27/34.16  
% 197.27/34.16  Begin of proof
% 197.27/34.16  | 
% 197.27/34.16  | BETA: splitting (1) gives:
% 197.27/34.16  | 
% 197.27/34.16  | Case 1:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (6)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.16  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.16  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 197.27/34.16  | | 
% 197.27/34.16  | | ALPHA: (6) implies:
% 197.27/34.16  | |   (7)  op(e1, e1) = e3
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1824.
% 197.27/34.16  | | 
% 197.27/34.16  | Case 2:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (8)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 197.27/34.16  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.27/34.16  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 197.27/34.16  | | 
% 197.27/34.16  | | ALPHA: (8) implies:
% 197.27/34.16  | |   (9)   ~ (all_57_2 = e0)
% 197.27/34.16  | |   (10)  op(e0, e3) = all_57_2
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (2), (3), (9), (10) are inconsistent by sub-proof #1526.
% 197.27/34.16  | | 
% 197.27/34.16  | End of split
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1396 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.27/34.16         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.27/34.16    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.27/34.16         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.27/34.16    (3)   ~ (e3 = e2)
% 197.27/34.16    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.16    (5)  op(e2, e1) = e1
% 197.27/34.16    (6)  op(e2, e2) = all_4_2
% 197.27/34.16    (7)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.16         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.16    (8)  all_56_10 = e3
% 197.27/34.16    (9)  all_56_14 = e3
% 197.27/34.16    (10)  op(e1, e1) = e0
% 197.27/34.16    (11)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.16          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.16    (12)   ~ (all_4_2 = e3)
% 197.27/34.16    (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 197.27/34.16    (14)  all_56_5 = e1
% 197.27/34.16    (15)   ~ (e1 = e0)
% 197.27/34.16    (16)   ~ (e2 = e1)
% 197.27/34.16    (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.16          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.16    (18)   ~ (all_52_12 = e1)
% 197.27/34.16    (19)  op(e3, e0) = all_52_12
% 197.27/34.16    (20)  all_56_1 = e3
% 197.27/34.16    (21)   ~ (e3 = e1)
% 197.27/34.16    (22)   ~ (e2 = e0)
% 197.27/34.16    (23)   ~ (e3 = e0)
% 197.27/34.16  
% 197.27/34.16  Begin of proof
% 197.27/34.16  | 
% 197.27/34.16  | BETA: splitting (13) gives:
% 197.27/34.16  | 
% 197.27/34.16  | Case 1:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (24)  all_56_0 = e3 & op(e3, e3) = e3
% 197.27/34.16  | | 
% 197.27/34.16  | | ALPHA: (24) implies:
% 197.27/34.16  | |   (25)  op(e3, e3) = e3
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (2), (3), (4), (7), (9), (10), (14), (16), (18), (19), (20),
% 197.27/34.16  | |            (21), (22), (25) are inconsistent by sub-proof #1400.
% 197.27/34.16  | | 
% 197.27/34.16  | Case 2:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (26)  all_56_2 = e3 & op(e2, e3) = e3
% 197.27/34.16  | | 
% 197.27/34.16  | | ALPHA: (26) implies:
% 197.27/34.16  | |   (27)  all_56_2 = e3
% 197.27/34.16  | | 
% 197.27/34.16  | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (11), (12), (14), (15), (16), (17),
% 197.27/34.16  | |            (21), (22), (23), (27) are inconsistent by sub-proof #1397.
% 197.27/34.16  | | 
% 197.27/34.16  | End of split
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1397 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.27/34.16         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.27/34.16    (2)   ~ (e3 = e2)
% 197.27/34.16    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.16    (4)  op(e2, e1) = e1
% 197.27/34.16    (5)  op(e2, e2) = all_4_2
% 197.27/34.16    (6)  all_56_10 = e3
% 197.27/34.16    (7)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.16         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.16    (8)   ~ (all_4_2 = e3)
% 197.27/34.16    (9)  all_56_5 = e1
% 197.27/34.16    (10)  all_56_2 = e3
% 197.27/34.16    (11)   ~ (e1 = e0)
% 197.27/34.16    (12)   ~ (e2 = e1)
% 197.27/34.16    (13)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.16          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.16    (14)   ~ (e3 = e1)
% 197.27/34.16    (15)   ~ (e2 = e0)
% 197.27/34.16    (16)   ~ (e3 = e0)
% 197.27/34.16  
% 197.27/34.16  Begin of proof
% 197.27/34.16  | 
% 197.27/34.16  | BETA: splitting (13) gives:
% 197.27/34.16  | 
% 197.27/34.16  | Case 1:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.27/34.16  | |           e2)
% 197.27/34.16  | | 
% 197.27/34.16  | | BETA: splitting (17) gives:
% 197.27/34.16  | | 
% 197.27/34.16  | | Case 1:
% 197.27/34.16  | | | 
% 197.27/34.16  | | |   (18)  all_56_2 = e2 & op(e2, e3) = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | ALPHA: (18) implies:
% 197.27/34.16  | | |   (19)  all_56_2 = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | COMBINE_EQS: (10), (19) imply:
% 197.27/34.16  | | |   (20)  e3 = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | COMBINE_EQS: (6), (20) imply:
% 197.27/34.16  | | |   (21)  all_56_10 = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (14), (19), (21) are inconsistent
% 197.27/34.16  | | |            by sub-proof #1398.
% 197.27/34.16  | | | 
% 197.27/34.16  | | Case 2:
% 197.27/34.16  | | | 
% 197.27/34.16  | | |   (22)  all_56_3 = e2 & op(e2, e2) = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | ALPHA: (22) implies:
% 197.27/34.16  | | |   (23)  op(e2, e2) = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | REF_CLOSE: (1), (3), (6), (9), (10), (11), (15), (16), (23) are
% 197.27/34.16  | | |            inconsistent by sub-proof #1431.
% 197.27/34.16  | | | 
% 197.27/34.16  | | End of split
% 197.27/34.16  | | 
% 197.27/34.16  | Case 2:
% 197.27/34.16  | | 
% 197.27/34.16  | |   (24)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 197.27/34.16  | |           e2)
% 197.27/34.16  | | 
% 197.27/34.16  | | BETA: splitting (24) gives:
% 197.27/34.16  | | 
% 197.27/34.16  | | Case 1:
% 197.27/34.16  | | | 
% 197.27/34.16  | | |   (25)  all_56_5 = e2 & op(e2, e1) = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | ALPHA: (25) implies:
% 197.27/34.16  | | |   (26)  op(e2, e1) = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | REF_CLOSE: (3), (4), (12), (26) are inconsistent by sub-proof #1441.
% 197.27/34.16  | | | 
% 197.27/34.16  | | Case 2:
% 197.27/34.16  | | | 
% 197.27/34.16  | | |   (27)  all_56_10 = e2 & op(e2, e0) = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | ALPHA: (27) implies:
% 197.27/34.16  | | |   (28)  all_56_10 = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | COMBINE_EQS: (6), (28) imply:
% 197.27/34.16  | | |   (29)  e3 = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | COMBINE_EQS: (10), (29) imply:
% 197.27/34.16  | | |   (30)  all_56_2 = e2
% 197.27/34.16  | | | 
% 197.27/34.16  | | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (14), (28), (30) are inconsistent
% 197.27/34.16  | | |            by sub-proof #1398.
% 197.27/34.16  | | | 
% 197.27/34.16  | | End of split
% 197.27/34.16  | | 
% 197.27/34.16  | End of split
% 197.27/34.16  | 
% 197.27/34.16  End of proof
% 197.27/34.16  
% 197.27/34.16  Sub-proof #1398 shows that the following formulas are inconsistent:
% 197.27/34.16  ----------------------------------------------------------------
% 197.27/34.16    (1)   ~ (e3 = e2)
% 197.27/34.16    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.16    (3)  all_56_10 = e2
% 197.27/34.16    (4)  op(e2, e2) = all_4_2
% 197.27/34.16    (5)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.16         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.16    (6)   ~ (all_4_2 = e3)
% 197.27/34.17    (7)  all_56_5 = e1
% 197.27/34.17    (8)  all_56_2 = e2
% 197.27/34.17    (9)   ~ (e3 = e1)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | BETA: splitting (5) gives:
% 197.27/34.17  | 
% 197.27/34.17  | Case 1:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.27/34.17  | |           e3)
% 197.27/34.17  | | 
% 197.27/34.17  | | BETA: splitting (10) gives:
% 197.27/34.17  | | 
% 197.27/34.17  | | Case 1:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (11)  all_56_2 = e3 & op(e2, e3) = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (11) implies:
% 197.27/34.17  | | |   (12)  all_56_2 = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (1), (8), (12) are inconsistent by sub-proof #1440.
% 197.27/34.17  | | | 
% 197.27/34.17  | | Case 2:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (13)  all_56_3 = e3 & op(e2, e2) = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (13) implies:
% 197.27/34.17  | | |   (14)  op(e2, e2) = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (2), (4), (6), (14) are inconsistent by sub-proof #1975.
% 197.27/34.17  | | | 
% 197.27/34.17  | | End of split
% 197.27/34.17  | | 
% 197.27/34.17  | Case 2:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (15)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 197.27/34.17  | |           e3)
% 197.27/34.17  | | 
% 197.27/34.17  | | BETA: splitting (15) gives:
% 197.27/34.17  | | 
% 197.27/34.17  | | Case 1:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (16)  all_56_5 = e3 & op(e2, e1) = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (16) implies:
% 197.27/34.17  | | |   (17)  all_56_5 = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (7), (9), (17) are inconsistent by sub-proof #1825.
% 197.27/34.17  | | | 
% 197.27/34.17  | | Case 2:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (18)  all_56_10 = e3 & op(e2, e0) = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (18) implies:
% 197.27/34.17  | | |   (19)  all_56_10 = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (1), (3), (19) are inconsistent by sub-proof #1399.
% 197.27/34.17  | | | 
% 197.27/34.17  | | End of split
% 197.27/34.17  | | 
% 197.27/34.17  | End of split
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1399 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  all_56_10 = e3
% 197.27/34.17    (2)  all_56_10 = e2
% 197.27/34.17    (3)   ~ (e3 = e2)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.17  |   (4)  e3 = e2
% 197.27/34.17  | 
% 197.27/34.17  | SIMP: (4) implies:
% 197.27/34.17  |   (5)  e3 = e2
% 197.27/34.17  | 
% 197.27/34.17  | REDUCE: (3), (5) imply:
% 197.27/34.17  |   (6)  $false
% 197.27/34.17  | 
% 197.27/34.17  | CLOSE: (6) is inconsistent.
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1400 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.27/34.17         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.27/34.17    (2)   ~ (e3 = e2)
% 197.27/34.17    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.17    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.17         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.17    (5)  op(e3, e3) = e3
% 197.27/34.17    (6)  all_56_14 = e3
% 197.27/34.17    (7)  op(e1, e1) = e0
% 197.27/34.17    (8)  all_56_5 = e1
% 197.27/34.17    (9)   ~ (e2 = e1)
% 197.27/34.17    (10)   ~ (all_52_12 = e1)
% 197.27/34.17    (11)  op(e3, e0) = all_52_12
% 197.27/34.17    (12)  all_56_1 = e3
% 197.27/34.17    (13)   ~ (e3 = e1)
% 197.27/34.17    (14)   ~ (e2 = e0)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | BETA: splitting (4) gives:
% 197.27/34.17  | 
% 197.27/34.17  | Case 1:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 197.27/34.17  | |           e2)
% 197.27/34.17  | | 
% 197.27/34.17  | | BETA: splitting (15) gives:
% 197.27/34.17  | | 
% 197.27/34.17  | | Case 1:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (16)  all_56_4 = e2 & op(e3, e1) = e2
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (16) implies:
% 197.27/34.17  | | |   (17)  all_56_4 = e2
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (1), (3), (5), (9), (10), (11), (12), (13), (17) are
% 197.27/34.17  | | |            inconsistent by sub-proof #1401.
% 197.27/34.17  | | | 
% 197.27/34.17  | | Case 2:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (18)  all_56_5 = e2 & op(e2, e1) = e2
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (18) implies:
% 197.27/34.17  | | |   (19)  all_56_5 = e2
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (8), (9), (19) are inconsistent by sub-proof #1822.
% 197.27/34.17  | | | 
% 197.27/34.17  | | End of split
% 197.27/34.17  | | 
% 197.27/34.17  | Case 2:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (20)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 197.27/34.17  | |           e2)
% 197.27/34.17  | | 
% 197.27/34.17  | | REF_CLOSE: (2), (3), (6), (7), (14), (20) are inconsistent by sub-proof
% 197.27/34.17  | |            #1819.
% 197.27/34.17  | | 
% 197.27/34.17  | End of split
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1401 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.27/34.17         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.27/34.17    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.17    (3)  op(e3, e3) = e3
% 197.27/34.17    (4)  all_56_4 = e2
% 197.27/34.17    (5)   ~ (e2 = e1)
% 197.27/34.17    (6)   ~ (all_52_12 = e1)
% 197.27/34.17    (7)  op(e3, e0) = all_52_12
% 197.27/34.17    (8)  all_56_1 = e3
% 197.27/34.17    (9)   ~ (e3 = e1)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | BETA: splitting (1) gives:
% 197.27/34.17  | 
% 197.27/34.17  | Case 1:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 197.27/34.17  | |           e1)
% 197.27/34.17  | | 
% 197.27/34.17  | | REF_CLOSE: (2), (3), (8), (9), (10) are inconsistent by sub-proof #1881.
% 197.27/34.17  | | 
% 197.27/34.17  | Case 2:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (11)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 197.27/34.17  | |           e1)
% 197.27/34.17  | | 
% 197.27/34.17  | | BETA: splitting (11) gives:
% 197.27/34.17  | | 
% 197.27/34.17  | | Case 1:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (12)  all_56_4 = e1 & op(e3, e1) = e1
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (12) implies:
% 197.27/34.17  | | |   (13)  all_56_4 = e1
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (4), (5), (13) are inconsistent by sub-proof #1751.
% 197.27/34.17  | | | 
% 197.27/34.17  | | Case 2:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (14)  all_56_9 = e1 & op(e3, e0) = e1
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (14) implies:
% 197.27/34.17  | | |   (15)  op(e3, e0) = e1
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (2), (6), (7), (15) are inconsistent by sub-proof #1949.
% 197.27/34.17  | | | 
% 197.27/34.17  | | End of split
% 197.27/34.17  | | 
% 197.27/34.17  | End of split
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1402 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.27/34.17         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.17    (2)   ~ (all_52_3 = e1)
% 197.27/34.17    (3)   ~ (e3 = e2)
% 197.27/34.17    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.17    (5)  op(e2, e1) = e1
% 197.27/34.17    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 197.27/34.17    (7)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.17         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.17    (8)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.17         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.17    (9)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.27/34.17         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.17    (10)  op(e0, e3) = all_52_3
% 197.27/34.17    (11)   ~ (all_52_8 = e1)
% 197.27/34.17    (12)  op(e0, e1) = all_52_11
% 197.27/34.17    (13)  op(e1, e1) = e0
% 197.27/34.17    (14)  all_56_5 = e1
% 197.27/34.17    (15)   ~ (e1 = e0)
% 197.27/34.17    (16)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.17          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.17    (17)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.17              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.27/34.17                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.17                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.27/34.17    (18)   ~ (e2 = e1)
% 197.27/34.17    (19)  op(e3, e1) = all_52_8
% 197.27/34.17    (20)  op(e0, e0) = e2
% 197.27/34.17    (21)   ~ (e3 = e1)
% 197.27/34.17    (22)   ~ (e2 = e0)
% 197.27/34.17    (23)   ~ (e3 = e0)
% 197.27/34.17    (24)   ~ (all_52_3 = all_52_11)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | BETA: splitting (6) gives:
% 197.27/34.17  | 
% 197.27/34.17  | Case 1:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (25)  all_56_4 = e3 & op(e3, e1) = e3
% 197.27/34.17  | | 
% 197.27/34.17  | | ALPHA: (25) implies:
% 197.27/34.17  | |   (26)  all_56_4 = e3
% 197.27/34.17  | | 
% 197.27/34.17  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 197.27/34.17  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (26)
% 197.27/34.17  | |            are inconsistent by sub-proof #1403.
% 197.27/34.17  | | 
% 197.27/34.17  | Case 2:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (27)  all_56_5 = e3 & op(e2, e1) = e3
% 197.27/34.17  | | 
% 197.27/34.17  | | ALPHA: (27) implies:
% 197.27/34.17  | |   (28)  all_56_5 = e3
% 197.27/34.17  | | 
% 197.27/34.17  | | REF_CLOSE: (14), (21), (28) are inconsistent by sub-proof #1825.
% 197.27/34.17  | | 
% 197.27/34.17  | End of split
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1403 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.27/34.17         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.17    (2)   ~ (all_52_3 = e1)
% 197.27/34.17    (3)   ~ (e3 = e2)
% 197.27/34.17    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.17    (5)  op(e2, e1) = e1
% 197.27/34.17    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.17         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.17    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.17         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.17    (8)  all_56_4 = e3
% 197.27/34.17    (9)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.27/34.17         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.17    (10)  op(e0, e3) = all_52_3
% 197.27/34.17    (11)   ~ (all_52_8 = e1)
% 197.27/34.17    (12)  op(e0, e1) = all_52_11
% 197.27/34.17    (13)  op(e1, e1) = e0
% 197.27/34.17    (14)   ~ (e1 = e0)
% 197.27/34.17    (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.17          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.17    (16)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.17              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.27/34.17                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.17                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.27/34.17    (17)   ~ (e2 = e1)
% 197.27/34.17    (18)  op(e3, e1) = all_52_8
% 197.27/34.17    (19)  op(e0, e0) = e2
% 197.27/34.17    (20)   ~ (e3 = e1)
% 197.27/34.17    (21)   ~ (e2 = e0)
% 197.27/34.17    (22)   ~ (e3 = e0)
% 197.27/34.17    (23)   ~ (all_52_3 = all_52_11)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | BETA: splitting (6) gives:
% 197.27/34.17  | 
% 197.27/34.17  | Case 1:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (24)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 197.27/34.17  | |           e2)
% 197.27/34.17  | | 
% 197.27/34.17  | | BETA: splitting (24) gives:
% 197.27/34.17  | | 
% 197.27/34.17  | | Case 1:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (25)  all_56_4 = e2 & op(e3, e1) = e2
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (25) implies:
% 197.27/34.17  | | |   (26)  all_56_4 = e2
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (3), (8), (26) are inconsistent by sub-proof #1404.
% 197.27/34.17  | | | 
% 197.27/34.17  | | Case 2:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (27)  all_56_5 = e2 & op(e2, e1) = e2
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (27) implies:
% 197.27/34.17  | | |   (28)  op(e2, e1) = e2
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (4), (5), (17), (28) are inconsistent by sub-proof #1441.
% 197.27/34.17  | | | 
% 197.27/34.17  | | End of split
% 197.27/34.17  | | 
% 197.27/34.17  | Case 2:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (29)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 197.27/34.17  | |           e2)
% 197.27/34.17  | | 
% 197.27/34.17  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (13), (14),
% 197.27/34.17  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (29) are
% 197.27/34.17  | |            inconsistent by sub-proof #1422.
% 197.27/34.17  | | 
% 197.27/34.17  | End of split
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1404 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  all_56_4 = e3
% 197.27/34.17    (2)  all_56_4 = e2
% 197.27/34.17    (3)   ~ (e3 = e2)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.17  |   (4)  e3 = e2
% 197.27/34.17  | 
% 197.27/34.17  | SIMP: (4) implies:
% 197.27/34.17  |   (5)  e3 = e2
% 197.27/34.17  | 
% 197.27/34.17  | REDUCE: (3), (5) imply:
% 197.27/34.17  |   (6)  $false
% 197.27/34.17  | 
% 197.27/34.17  | CLOSE: (6) is inconsistent.
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1405 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  op(e1, e2) = all_52_6
% 197.27/34.17    (2)   ~ (e3 = e2)
% 197.27/34.17    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.17    (4)   ~ (all_52_14 = e3)
% 197.27/34.17    (5)  op(e1, e0) = all_52_14
% 197.27/34.17    (6)  all_56_6 = e2
% 197.27/34.17    (7)  op(e1, e1) = e0
% 197.27/34.17    (8)   ~ (all_52_6 = e3)
% 197.27/34.17    (9)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.17         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.17    (10)   ~ (e3 = e0)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | BETA: splitting (9) gives:
% 197.27/34.17  | 
% 197.27/34.17  | Case 1:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 197.27/34.17  | |           e3)
% 197.27/34.17  | | 
% 197.27/34.17  | | BETA: splitting (11) gives:
% 197.27/34.17  | | 
% 197.27/34.17  | | Case 1:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (12)  all_56_6 = e3 & op(e1, e3) = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (12) implies:
% 197.27/34.17  | | |   (13)  all_56_6 = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (2), (6), (13) are inconsistent by sub-proof #1504.
% 197.27/34.17  | | | 
% 197.27/34.17  | | Case 2:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (14)  all_56_7 = e3 & op(e1, e2) = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (14) implies:
% 197.27/34.17  | | |   (15)  op(e1, e2) = e3
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (1), (3), (8), (15) are inconsistent by sub-proof #1408.
% 197.27/34.17  | | | 
% 197.27/34.17  | | End of split
% 197.27/34.17  | | 
% 197.27/34.17  | Case 2:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (16)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 197.27/34.17  | |           e3)
% 197.27/34.17  | | 
% 197.27/34.17  | | REF_CLOSE: (3), (4), (5), (7), (10), (16) are inconsistent by sub-proof
% 197.27/34.17  | |            #1406.
% 197.27/34.17  | | 
% 197.27/34.17  | End of split
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1406 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.17    (2)   ~ (all_52_14 = e3)
% 197.27/34.17    (3)  op(e1, e0) = all_52_14
% 197.27/34.17    (4)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.17    (5)  op(e1, e1) = e0
% 197.27/34.17    (6)   ~ (e3 = e0)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | BETA: splitting (4) gives:
% 197.27/34.17  | 
% 197.27/34.17  | Case 1:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 197.27/34.17  | | 
% 197.27/34.17  | | ALPHA: (7) implies:
% 197.27/34.17  | |   (8)  op(e1, e1) = e3
% 197.27/34.17  | | 
% 197.27/34.17  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1824.
% 197.27/34.17  | | 
% 197.27/34.17  | Case 2:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (9)  all_56_11 = e3 & op(e1, e0) = e3
% 197.27/34.17  | | 
% 197.27/34.17  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1407.
% 197.27/34.17  | | 
% 197.27/34.17  | End of split
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1407 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  all_56_11 = e3 & op(e1, e0) = e3
% 197.27/34.17    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.17    (3)  op(e1, e0) = all_52_14
% 197.27/34.17    (4)   ~ (all_52_14 = e3)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | ALPHA: (1) implies:
% 197.27/34.17  |   (5)  op(e1, e0) = e3
% 197.27/34.17  | 
% 197.27/34.17  | GROUND_INST: instantiating (2) with all_52_14, e3, e0, e1, simplifying with
% 197.27/34.17  |              (3), (5) gives:
% 197.27/34.17  |   (6)  all_52_14 = e3
% 197.27/34.17  | 
% 197.27/34.17  | REDUCE: (4), (6) imply:
% 197.27/34.17  |   (7)  $false
% 197.27/34.17  | 
% 197.27/34.17  | CLOSE: (7) is inconsistent.
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1408 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.17    (2)  op(e1, e2) = all_52_6
% 197.27/34.17    (3)  op(e1, e2) = e3
% 197.27/34.17    (4)   ~ (all_52_6 = e3)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | GROUND_INST: instantiating (1) with all_52_6, e3, e2, e1, simplifying with
% 197.27/34.17  |              (2), (3) gives:
% 197.27/34.17  |   (5)  all_52_6 = e3
% 197.27/34.17  | 
% 197.27/34.17  | REDUCE: (4), (5) imply:
% 197.27/34.17  |   (6)  $false
% 197.27/34.17  | 
% 197.27/34.17  | CLOSE: (6) is inconsistent.
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1409 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  all_54_4 = all_52_1
% 197.27/34.17    (2)  all_54_4 = e3
% 197.27/34.17    (3)   ~ (all_52_1 = e3)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.17  |   (4)  all_52_1 = e3
% 197.27/34.17  | 
% 197.27/34.17  | SIMP: (4) implies:
% 197.27/34.17  |   (5)  all_52_1 = e3
% 197.27/34.17  | 
% 197.27/34.17  | REDUCE: (3), (5) imply:
% 197.27/34.17  |   (6)  $false
% 197.27/34.17  | 
% 197.27/34.17  | CLOSE: (6) is inconsistent.
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1410 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.17         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.17    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.17         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.17    (3)   ~ (all_52_13 = e2)
% 197.27/34.17    (4)   ~ (e3 = e2)
% 197.27/34.17    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.17    (6)  op(e2, e2) = all_4_2
% 197.27/34.17    (7)  op(e3, e3) = e1
% 197.27/34.17    (8)  op(e2, e0) = all_52_13
% 197.27/34.17    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.17         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.17    (10)   ~ (all_4_2 = e3)
% 197.27/34.17    (11)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.17          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.27/34.17    (12)  all_56_10 = e0
% 197.27/34.17    (13)   ~ (e1 = e0)
% 197.27/34.17    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.27/34.17          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.27/34.17    (15)   ~ (e2 = e1)
% 197.27/34.17    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.17          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.17    (17)  op(e2, e2) = e0
% 197.27/34.17    (18)   ~ (e3 = e1)
% 197.27/34.17    (19)   ~ (e2 = e0)
% 197.27/34.17    (20)   ~ (e3 = e0)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | BETA: splitting (11) gives:
% 197.27/34.17  | 
% 197.27/34.17  | Case 1:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (21)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.27/34.17  | |           e1)
% 197.27/34.17  | | 
% 197.27/34.17  | | REF_CLOSE: (1), (2), (4), (5), (7), (13), (14), (15), (17), (18), (19),
% 197.27/34.17  | |            (20), (21) are inconsistent by sub-proof #1843.
% 197.27/34.17  | | 
% 197.27/34.17  | Case 2:
% 197.27/34.17  | | 
% 197.27/34.17  | |   (22)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 197.27/34.17  | |           e1)
% 197.27/34.17  | | 
% 197.27/34.17  | | BETA: splitting (22) gives:
% 197.27/34.17  | | 
% 197.27/34.17  | | Case 1:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (23)  all_56_5 = e1 & op(e2, e1) = e1
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (23) implies:
% 197.27/34.17  | | |   (24)  all_56_5 = e1
% 197.27/34.17  | | |   (25)  op(e2, e1) = e1
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (3), (4), (5), (6), (8), (9), (10), (12), (15), (16), (17),
% 197.27/34.17  | | |            (18), (19), (20), (24), (25) are inconsistent by sub-proof
% 197.27/34.17  | | |            #1412.
% 197.27/34.17  | | | 
% 197.27/34.17  | | Case 2:
% 197.27/34.17  | | | 
% 197.27/34.17  | | |   (26)  all_56_10 = e1 & op(e2, e0) = e1
% 197.27/34.17  | | | 
% 197.27/34.17  | | | ALPHA: (26) implies:
% 197.27/34.17  | | |   (27)  all_56_10 = e1
% 197.27/34.17  | | | 
% 197.27/34.17  | | | REF_CLOSE: (12), (13), (27) are inconsistent by sub-proof #1411.
% 197.27/34.17  | | | 
% 197.27/34.17  | | End of split
% 197.27/34.17  | | 
% 197.27/34.17  | End of split
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1411 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.17    (1)  all_56_10 = e1
% 197.27/34.17    (2)  all_56_10 = e0
% 197.27/34.17    (3)   ~ (e1 = e0)
% 197.27/34.17  
% 197.27/34.17  Begin of proof
% 197.27/34.17  | 
% 197.27/34.17  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.17  |   (4)  e1 = e0
% 197.27/34.17  | 
% 197.27/34.17  | SIMP: (4) implies:
% 197.27/34.17  |   (5)  e1 = e0
% 197.27/34.17  | 
% 197.27/34.17  | REDUCE: (3), (5) imply:
% 197.27/34.17  |   (6)  $false
% 197.27/34.17  | 
% 197.27/34.17  | CLOSE: (6) is inconsistent.
% 197.27/34.17  | 
% 197.27/34.17  End of proof
% 197.27/34.17  
% 197.27/34.17  Sub-proof #1412 shows that the following formulas are inconsistent:
% 197.27/34.17  ----------------------------------------------------------------
% 197.27/34.18    (1)   ~ (all_52_13 = e2)
% 197.27/34.18    (2)   ~ (e3 = e2)
% 197.27/34.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.18    (4)  op(e2, e1) = e1
% 197.27/34.18    (5)  op(e2, e2) = all_4_2
% 197.27/34.18    (6)  op(e2, e0) = all_52_13
% 197.27/34.18    (7)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.18         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.18    (8)   ~ (all_4_2 = e3)
% 197.27/34.18    (9)  all_56_5 = e1
% 197.27/34.18    (10)  all_56_10 = e0
% 197.27/34.18    (11)   ~ (e2 = e1)
% 197.27/34.18    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.18          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.18    (13)  op(e2, e2) = e0
% 197.27/34.18    (14)   ~ (e3 = e1)
% 197.27/34.18    (15)   ~ (e2 = e0)
% 197.27/34.18    (16)   ~ (e3 = e0)
% 197.27/34.18  
% 197.27/34.18  Begin of proof
% 197.27/34.18  | 
% 197.27/34.18  | BETA: splitting (7) gives:
% 197.27/34.18  | 
% 197.27/34.18  | Case 1:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (17)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.27/34.18  | |           e3)
% 197.27/34.18  | | 
% 197.27/34.18  | | BETA: splitting (17) gives:
% 197.27/34.18  | | 
% 197.27/34.18  | | Case 1:
% 197.27/34.18  | | | 
% 197.27/34.18  | | |   (18)  all_56_2 = e3 & op(e2, e3) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | ALPHA: (18) implies:
% 197.27/34.18  | | |   (19)  op(e2, e3) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | REF_CLOSE: (1), (2), (3), (4), (6), (11), (12), (13), (15), (19) are
% 197.27/34.18  | | |            inconsistent by sub-proof #1413.
% 197.27/34.18  | | | 
% 197.27/34.18  | | Case 2:
% 197.27/34.18  | | | 
% 197.27/34.18  | | |   (20)  all_56_3 = e3 & op(e2, e2) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | ALPHA: (20) implies:
% 197.27/34.18  | | |   (21)  op(e2, e2) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | REF_CLOSE: (3), (5), (8), (21) are inconsistent by sub-proof #1975.
% 197.27/34.18  | | | 
% 197.27/34.18  | | End of split
% 197.27/34.18  | | 
% 197.27/34.18  | Case 2:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (22)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 197.27/34.18  | |           e3)
% 197.27/34.18  | | 
% 197.27/34.18  | | BETA: splitting (22) gives:
% 197.27/34.18  | | 
% 197.27/34.18  | | Case 1:
% 197.27/34.18  | | | 
% 197.27/34.18  | | |   (23)  all_56_5 = e3 & op(e2, e1) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | ALPHA: (23) implies:
% 197.27/34.18  | | |   (24)  all_56_5 = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | REF_CLOSE: (9), (14), (24) are inconsistent by sub-proof #1825.
% 197.27/34.18  | | | 
% 197.27/34.18  | | Case 2:
% 197.27/34.18  | | | 
% 197.27/34.18  | | |   (25)  all_56_10 = e3 & op(e2, e0) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | ALPHA: (25) implies:
% 197.27/34.18  | | |   (26)  all_56_10 = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | REF_CLOSE: (10), (16), (26) are inconsistent by sub-proof #1432.
% 197.27/34.18  | | | 
% 197.27/34.18  | | End of split
% 197.27/34.18  | | 
% 197.27/34.18  | End of split
% 197.27/34.18  | 
% 197.27/34.18  End of proof
% 197.27/34.18  
% 197.27/34.18  Sub-proof #1413 shows that the following formulas are inconsistent:
% 197.27/34.18  ----------------------------------------------------------------
% 197.27/34.18    (1)   ~ (all_52_13 = e2)
% 197.27/34.18    (2)   ~ (e3 = e2)
% 197.27/34.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.18    (4)  op(e2, e1) = e1
% 197.27/34.18    (5)  op(e2, e0) = all_52_13
% 197.27/34.18    (6)   ~ (e2 = e1)
% 197.27/34.18    (7)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.18         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.18    (8)  op(e2, e3) = e3
% 197.27/34.18    (9)  op(e2, e2) = e0
% 197.27/34.18    (10)   ~ (e2 = e0)
% 197.27/34.18  
% 197.27/34.18  Begin of proof
% 197.27/34.18  | 
% 197.27/34.18  | BETA: splitting (7) gives:
% 197.27/34.18  | 
% 197.27/34.18  | Case 1:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (11)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.27/34.18  | |           e2)
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (2), (3), (8), (9), (10), (11) are inconsistent by sub-proof
% 197.27/34.18  | |            #1415.
% 197.27/34.18  | | 
% 197.27/34.18  | Case 2:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (12)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 197.27/34.18  | |           e2)
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (1), (3), (4), (5), (6), (12) are inconsistent by sub-proof
% 197.27/34.18  | |            #1414.
% 197.27/34.18  | | 
% 197.27/34.18  | End of split
% 197.27/34.18  | 
% 197.27/34.18  End of proof
% 197.27/34.18  
% 197.27/34.18  Sub-proof #1414 shows that the following formulas are inconsistent:
% 197.27/34.18  ----------------------------------------------------------------
% 197.27/34.18    (1)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.18    (2)   ~ (all_52_13 = e2)
% 197.27/34.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.18    (4)  op(e2, e1) = e1
% 197.27/34.18    (5)  op(e2, e0) = all_52_13
% 197.27/34.18    (6)   ~ (e2 = e1)
% 197.27/34.18  
% 197.27/34.18  Begin of proof
% 197.27/34.18  | 
% 197.27/34.18  | BETA: splitting (1) gives:
% 197.27/34.18  | 
% 197.27/34.18  | Case 1:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (7)  all_56_5 = e2 & op(e2, e1) = e2
% 197.27/34.18  | | 
% 197.27/34.18  | | ALPHA: (7) implies:
% 197.27/34.18  | |   (8)  op(e2, e1) = e2
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1441.
% 197.27/34.18  | | 
% 197.27/34.18  | Case 2:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (9)  all_56_10 = e2 & op(e2, e0) = e2
% 197.27/34.18  | | 
% 197.27/34.18  | | ALPHA: (9) implies:
% 197.27/34.18  | |   (10)  op(e2, e0) = e2
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1662.
% 197.27/34.18  | | 
% 197.27/34.18  | End of split
% 197.27/34.18  | 
% 197.27/34.18  End of proof
% 197.27/34.18  
% 197.27/34.18  Sub-proof #1415 shows that the following formulas are inconsistent:
% 197.27/34.18  ----------------------------------------------------------------
% 197.27/34.18    (1)   ~ (e3 = e2)
% 197.27/34.18    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.18    (3)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 197.27/34.18    (4)  op(e2, e3) = e3
% 197.27/34.18    (5)  op(e2, e2) = e0
% 197.27/34.18    (6)   ~ (e2 = e0)
% 197.27/34.18  
% 197.27/34.18  Begin of proof
% 197.27/34.18  | 
% 197.27/34.18  | BETA: splitting (3) gives:
% 197.27/34.18  | 
% 197.27/34.18  | Case 1:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (7)  all_56_2 = e2 & op(e2, e3) = e2
% 197.27/34.18  | | 
% 197.27/34.18  | | ALPHA: (7) implies:
% 197.27/34.18  | |   (8)  op(e2, e3) = e2
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1869.
% 197.27/34.18  | | 
% 197.27/34.18  | Case 2:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 197.27/34.18  | | 
% 197.27/34.18  | | ALPHA: (9) implies:
% 197.27/34.18  | |   (10)  op(e2, e2) = e2
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1939.
% 197.27/34.18  | | 
% 197.27/34.18  | End of split
% 197.27/34.18  | 
% 197.27/34.18  End of proof
% 197.27/34.18  
% 197.27/34.18  Sub-proof #1416 shows that the following formulas are inconsistent:
% 197.27/34.18  ----------------------------------------------------------------
% 197.27/34.18    (1)   ~ (e3 = e2)
% 197.27/34.18    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.18    (3)  op(e3, e3) = e1
% 197.27/34.18    (4)  all_56_9 = e0
% 197.27/34.18    (5)  op(e3, e0) = e0
% 197.27/34.18    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.27/34.18         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.27/34.18    (7)  all_56_1 = e0
% 197.27/34.18    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.27/34.18         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.27/34.18    (9)   ~ (e2 = e1)
% 197.27/34.18    (10)   ~ (e3 = e1)
% 197.27/34.18    (11)   ~ (e2 = e0)
% 197.27/34.18    (12)   ~ (e3 = e0)
% 197.27/34.18  
% 197.27/34.18  Begin of proof
% 197.27/34.18  | 
% 197.27/34.18  | BETA: splitting (8) gives:
% 197.27/34.18  | 
% 197.27/34.18  | Case 1:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 197.27/34.18  | |           e3)
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (2), (3), (7), (10), (12), (13) are inconsistent by sub-proof
% 197.27/34.18  | |            #1417.
% 197.27/34.18  | | 
% 197.27/34.18  | Case 2:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 197.27/34.18  | |           e3)
% 197.27/34.18  | | 
% 197.27/34.18  | | BETA: splitting (14) gives:
% 197.27/34.18  | | 
% 197.27/34.18  | | Case 1:
% 197.27/34.18  | | | 
% 197.27/34.18  | | |   (15)  all_56_4 = e3 & op(e3, e1) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | ALPHA: (15) implies:
% 197.27/34.18  | | |   (16)  all_56_4 = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (11), (16) are inconsistent
% 197.27/34.18  | | |            by sub-proof #1917.
% 197.27/34.18  | | | 
% 197.27/34.18  | | Case 2:
% 197.27/34.18  | | | 
% 197.27/34.18  | | |   (17)  all_56_9 = e3 & op(e3, e0) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | ALPHA: (17) implies:
% 197.27/34.18  | | |   (18)  op(e3, e0) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | REF_CLOSE: (2), (5), (12), (18) are inconsistent by sub-proof #1793.
% 197.27/34.18  | | | 
% 197.27/34.18  | | End of split
% 197.27/34.18  | | 
% 197.27/34.18  | End of split
% 197.27/34.18  | 
% 197.27/34.18  End of proof
% 197.27/34.18  
% 197.27/34.18  Sub-proof #1417 shows that the following formulas are inconsistent:
% 197.27/34.18  ----------------------------------------------------------------
% 197.27/34.18    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.18    (2)  op(e3, e3) = e1
% 197.27/34.18    (3)  all_56_1 = e0
% 197.27/34.18    (4)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 197.27/34.18    (5)   ~ (e3 = e1)
% 197.27/34.18    (6)   ~ (e3 = e0)
% 197.27/34.18  
% 197.27/34.18  Begin of proof
% 197.27/34.18  | 
% 197.27/34.18  | BETA: splitting (4) gives:
% 197.27/34.18  | 
% 197.27/34.18  | Case 1:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 197.27/34.18  | | 
% 197.27/34.18  | | ALPHA: (7) implies:
% 197.27/34.18  | |   (8)  op(e3, e3) = e3
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1966.
% 197.27/34.18  | | 
% 197.27/34.18  | Case 2:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (9)  all_56_1 = e3 & op(e3, e2) = e3
% 197.27/34.18  | | 
% 197.27/34.18  | | ALPHA: (9) implies:
% 197.27/34.18  | |   (10)  all_56_1 = e3
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (3), (6), (10) are inconsistent by sub-proof #1929.
% 197.27/34.18  | | 
% 197.27/34.18  | End of split
% 197.27/34.18  | 
% 197.27/34.18  End of proof
% 197.27/34.18  
% 197.27/34.18  Sub-proof #1418 shows that the following formulas are inconsistent:
% 197.27/34.18  ----------------------------------------------------------------
% 197.27/34.18    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.18    (2)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.18    (3)  all_56_11 = e2
% 197.27/34.18    (4)   ~ (e2 = e1)
% 197.27/34.18    (5)  op(e0, e0) = e2
% 197.27/34.18  
% 197.27/34.18  Begin of proof
% 197.27/34.18  | 
% 197.27/34.18  | BETA: splitting (2) gives:
% 197.27/34.18  | 
% 197.27/34.18  | Case 1:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (6)  all_56_11 = e1 & op(e1, e0) = e1
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #1538.
% 197.27/34.18  | | 
% 197.27/34.18  | Case 2:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (7)  all_56_15 = e1 & op(e0, e0) = e1
% 197.27/34.18  | | 
% 197.27/34.18  | | ALPHA: (7) implies:
% 197.27/34.18  | |   (8)  op(e0, e0) = e1
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1780.
% 197.27/34.18  | | 
% 197.27/34.18  | End of split
% 197.27/34.18  | 
% 197.27/34.18  End of proof
% 197.27/34.18  
% 197.27/34.18  Sub-proof #1419 shows that the following formulas are inconsistent:
% 197.27/34.18  ----------------------------------------------------------------
% 197.27/34.18    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.18    (2)  all_56_13 = e0
% 197.27/34.18    (3)  op(e2, e2) = all_4_2
% 197.27/34.18    (4)  all_56_7 = e1
% 197.27/34.18    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.18         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.27/34.18    (6)  all_56_1 = e0
% 197.27/34.18    (7)   ~ (all_4_2 = e3)
% 197.27/34.18    (8)   ~ (e3 = e1)
% 197.27/34.18    (9)   ~ (e3 = e0)
% 197.27/34.18  
% 197.27/34.18  Begin of proof
% 197.27/34.18  | 
% 197.27/34.18  | BETA: splitting (5) gives:
% 197.27/34.18  | 
% 197.27/34.18  | Case 1:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (10)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.27/34.18  | |           e3)
% 197.27/34.18  | | 
% 197.27/34.18  | | REF_CLOSE: (1), (3), (6), (7), (9), (10) are inconsistent by sub-proof
% 197.27/34.18  | |            #1928.
% 197.27/34.18  | | 
% 197.27/34.18  | Case 2:
% 197.27/34.18  | | 
% 197.27/34.18  | |   (11)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 197.27/34.18  | |           e3)
% 197.27/34.18  | | 
% 197.27/34.18  | | BETA: splitting (11) gives:
% 197.27/34.18  | | 
% 197.27/34.18  | | Case 1:
% 197.27/34.18  | | | 
% 197.27/34.18  | | |   (12)  all_56_7 = e3 & op(e1, e2) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | ALPHA: (12) implies:
% 197.27/34.18  | | |   (13)  all_56_7 = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | COMBINE_EQS: (4), (13) imply:
% 197.27/34.18  | | |   (14)  e3 = e1
% 197.27/34.18  | | | 
% 197.27/34.18  | | | REDUCE: (8), (14) imply:
% 197.27/34.18  | | |   (15)  $false
% 197.27/34.18  | | | 
% 197.27/34.18  | | | CLOSE: (15) is inconsistent.
% 197.27/34.18  | | | 
% 197.27/34.18  | | Case 2:
% 197.27/34.18  | | | 
% 197.27/34.18  | | |   (16)  all_56_13 = e3 & op(e0, e2) = e3
% 197.27/34.18  | | | 
% 197.27/34.18  | | | REF_CLOSE: (2), (9), (16) are inconsistent by sub-proof #1420.
% 197.27/34.18  | | | 
% 197.27/34.18  | | End of split
% 197.27/34.18  | | 
% 197.27/34.18  | End of split
% 197.27/34.18  | 
% 197.27/34.18  End of proof
% 197.27/34.18  
% 197.27/34.18  Sub-proof #1420 shows that the following formulas are inconsistent:
% 197.27/34.18  ----------------------------------------------------------------
% 197.27/34.18    (1)  all_56_13 = e3 & op(e0, e2) = e3
% 197.27/34.18    (2)  all_56_13 = e0
% 197.27/34.18    (3)   ~ (e3 = e0)
% 197.27/34.18  
% 197.27/34.18  Begin of proof
% 197.27/34.18  | 
% 197.27/34.18  | ALPHA: (1) implies:
% 197.27/34.18  |   (4)  all_56_13 = e3
% 197.27/34.18  | 
% 197.27/34.18  | COMBINE_EQS: (2), (4) imply:
% 197.27/34.18  |   (5)  e3 = e0
% 197.27/34.18  | 
% 197.27/34.18  | REDUCE: (3), (5) imply:
% 197.27/34.18  |   (6)  $false
% 197.27/34.18  | 
% 197.27/34.18  | CLOSE: (6) is inconsistent.
% 197.27/34.18  | 
% 197.27/34.18  End of proof
% 197.27/34.18  
% 197.27/34.18  Sub-proof #1421 shows that the following formulas are inconsistent:
% 197.27/34.18  ----------------------------------------------------------------
% 197.27/34.18    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.27/34.18         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.18    (2)  op(e1, e3) = all_52_2
% 197.27/34.18    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.27/34.18           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.27/34.18           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.27/34.18                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.27/34.18               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.27/34.18               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.18           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.27/34.18           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.18               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.27/34.18           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.27/34.18               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.27/34.18           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.27/34.18           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.27/34.18               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.18               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.18               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.18         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.27/34.18           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.27/34.18           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.27/34.18               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.18             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.18         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.27/34.18           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.27/34.18           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.27/34.18                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.27/34.18               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.27/34.18               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.27/34.18           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.27/34.18           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.18             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.18           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.18               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.27/34.18           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.27/34.18           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.27/34.18               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.18               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.18               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.18         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.27/34.18           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.27/34.18           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.27/34.18               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.18             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.18         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.27/34.18           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.27/34.18           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.27/34.18                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.27/34.18               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.27/34.18               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.27/34.18           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.27/34.18             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.18               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.18           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.18               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.27/34.18           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.27/34.18           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.27/34.18               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.18               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.18               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.18         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.27/34.18           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.27/34.18           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.27/34.18               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.27/34.18             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.27/34.18         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.18             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.18           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.18               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.18             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.18         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.27/34.18             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.18           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.18               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.18             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.18         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.27/34.18             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.18           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.27/34.18               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.27/34.18             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.18         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.27/34.18             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.18           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.27/34.18               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.27/34.18             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.18    (4)  all_54_4 = all_52_1
% 197.27/34.18    (5)   ~ (all_52_3 = e1)
% 197.27/34.18    (6)  op(e1, e2) = all_52_6
% 197.27/34.18    (7)  all_54_7 = all_52_13
% 197.27/34.18    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.18         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.18    (9)   ~ (all_52_7 = e2)
% 197.27/34.18    (10)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.27/34.18    (11)  all_54_3 = all_52_12
% 197.27/34.18    (12)  all_54_6 = all_52_9
% 197.27/34.18    (13)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.27/34.18          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.27/34.18    (14)   ~ (all_52_1 = all_52_9)
% 197.27/34.18    (15)   ~ (all_52_6 = all_52_7)
% 197.27/34.18    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.18          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.18    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.18          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.18    (18)   ~ (all_52_13 = e2)
% 197.27/34.18    (19)   ~ (e3 = e2)
% 197.27/34.18    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.18            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.18    (21)  op(e3, e2) = all_52_4
% 197.27/34.18    (22)  op(e2, e2) = all_4_2
% 197.27/34.18    (23)   ~ (all_52_9 = e0)
% 197.27/34.18    (24)   ~ (all_52_12 = all_52_13)
% 197.27/34.18    (25)  op(e3, e3) = e1
% 197.27/34.18    (26)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 197.27/34.18    (27)   ~ (all_52_7 = all_52_11)
% 197.27/34.18    (28)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.27/34.18          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.18    (29)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.18          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.18    (30)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.18          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.18    (31)   ~ (all_52_3 = all_52_7)
% 197.27/34.18    (32)  all_54_12 = all_52_3
% 197.27/34.18    (33)  all_54_13 = all_52_7
% 197.27/34.18    (34)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.18          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.27/34.18            e1)
% 197.27/34.18    (35)  op(e0, e3) = all_52_3
% 197.27/34.18    (36)  op(e2, e0) = all_52_13
% 197.27/34.18    (37)  op(e1, e0) = all_52_14
% 197.27/34.18    (38)  ( ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 & op(e3, e1) =
% 197.27/34.19            all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~ (all_26_1 = e2) & op(e3,
% 197.27/34.19              e1) = all_26_1 & $i(all_26_1))
% 197.27/34.19    (39)   ~ (all_52_8 = all_52_9)
% 197.27/34.19    (40)   ~ (all_52_4 = all_52_12)
% 197.27/34.19    (41)  all_42_2 = e1
% 197.27/34.19    (42)  all_56_6 = e2 & op(e1, e3) = e2
% 197.27/34.19    (43)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.19              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.19            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.19            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.19            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.19            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.27/34.19            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.27/34.19            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.19            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.27/34.19            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.19            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.19            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.27/34.19            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.19            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.19            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.19            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.19            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.19            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.27/34.19            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.19            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.19            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.27/34.19            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.19            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.19            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.27/34.19            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.19            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.19            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.19            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.19            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.19            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.27/34.19            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.19            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.19            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.19            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.19            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.19            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.19            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.19            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.19            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.19            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.19            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.19            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.27/34.19            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.19            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.19            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.27/34.19            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.19            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.19            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.27/34.19              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.27/34.19            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.19            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.27/34.19              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.19            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.19            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.27/34.19                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.19                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.19                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.19                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.19                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.27/34.19                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.27/34.19                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.19              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.19                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.27/34.19                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.19                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.27/34.19                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.27/34.19                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.19                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.19                $i(all_57_7))))
% 197.27/34.19    (44)   ~ (all_52_9 = e2)
% 197.27/34.19    (45)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.27/34.19    (46)   ~ (all_52_8 = e1)
% 197.27/34.19    (47)  op(e0, e1) = all_52_11
% 197.27/34.19    (48)  op(e1, e1) = e0
% 197.27/34.19    (49)   ~ (all_52_1 = e1)
% 197.27/34.19    (50)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.19          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.19    (51)   ~ (all_4_2 = e3)
% 197.27/34.19    (52)   ~ (all_52_8 = all_52_12)
% 197.27/34.19    (53)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.27/34.19    (54)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.19          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.27/34.19    (55)   ~ (e1 = e0)
% 197.27/34.19    (56)   ~ (all_52_1 = all_52_13)
% 197.27/34.19    (57)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 197.27/34.19          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.19    (58)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.27/34.19    (59)   ~ (all_52_8 = all_52_11)
% 197.27/34.19    (60)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.27/34.19          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.27/34.19    (61)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.19          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.19    (62)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.27/34.19    (63)   ~ (all_52_13 = all_52_14)
% 197.27/34.19    (64)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 197.27/34.19    (65)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.19              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.27/34.19                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.19                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.27/34.19    (66)   ~ (e2 = e1)
% 197.27/34.19    (67)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.19          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.19    (68)  all_54_14 = all_52_11
% 197.27/34.19    (69)   ~ (all_52_11 = e0)
% 197.27/34.19    (70)   ~ (all_52_12 = e1)
% 197.27/34.19    (71)   ~ (all_52_2 = e1)
% 197.27/34.19    (72)  op(e3, e0) = all_52_12
% 197.27/34.19    (73)  op(e2, e2) = e2
% 197.27/34.19    (74)   ~ (all_52_2 = all_52_3)
% 197.27/34.19    (75)  op(e2, e1) = all_52_9
% 197.27/34.19    (76)   ~ (all_42_2 = e1) | ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 &
% 197.27/34.19            op(e3, e1) = all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 =
% 197.27/34.19              e0) & op(e3, e1) = all_42_1 & $i(all_42_1))
% 197.27/34.19    (77)   ~ (all_52_1 = all_52_2)
% 197.27/34.19    (78)   ~ (all_52_1 = all_52_3)
% 197.27/34.19    (79)  op(e3, e1) = all_52_8
% 197.27/34.19    (80)  op(e0, e0) = e2
% 197.27/34.19    (81)   ~ (all_52_9 = all_52_13)
% 197.27/34.19    (82)   ~ (e3 = e1)
% 197.27/34.19    (83)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.19          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.19    (84)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.19          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.19    (85)   ~ (e2 = e0)
% 197.27/34.19    (86)  op(e2, e3) = all_52_1
% 197.27/34.19    (87)   ~ (all_52_8 = e0)
% 197.27/34.19    (88)   ~ (e3 = e0)
% 197.27/34.19    (89)   ~ (all_52_3 = all_52_11)
% 197.27/34.19    (90)   ~ (all_52_9 = all_52_11)
% 197.27/34.19  
% 197.27/34.19  Begin of proof
% 197.27/34.19  | 
% 197.27/34.19  | ALPHA: (42) implies:
% 197.27/34.19  |   (91)  all_56_6 = e2
% 197.27/34.19  |   (92)  op(e1, e3) = e2
% 197.27/34.19  | 
% 197.27/34.19  | BETA: splitting (29) gives:
% 197.27/34.19  | 
% 197.27/34.19  | Case 1:
% 197.27/34.19  | | 
% 197.27/34.19  | |   (93)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 197.27/34.19  | |           e2)
% 197.27/34.19  | | 
% 197.27/34.19  | | BETA: splitting (93) gives:
% 197.27/34.19  | | 
% 197.27/34.19  | | Case 1:
% 197.27/34.19  | | | 
% 197.27/34.19  | | |   (94)  all_56_4 = e2 & op(e3, e1) = e2
% 197.27/34.19  | | | 
% 197.27/34.19  | | | ALPHA: (94) implies:
% 197.27/34.19  | | |   (95)  op(e3, e1) = e2
% 197.27/34.19  | | | 
% 197.27/34.19  | | | GROUND_INST: instantiating (20) with all_52_2, e2, e3, e1, simplifying
% 197.27/34.19  | | |              with (2), (92) gives:
% 197.27/34.19  | | |   (96)  all_52_2 = e2
% 197.27/34.19  | | | 
% 197.27/34.19  | | | GROUND_INST: instantiating (20) with all_52_8, e2, e1, e3, simplifying
% 197.27/34.19  | | |              with (79), (95) gives:
% 197.27/34.19  | | |   (97)  all_52_8 = e2
% 197.27/34.19  | | | 
% 197.27/34.19  | | | REDUCE: (77), (96) imply:
% 197.27/34.19  | | |   (98)   ~ (all_52_1 = e2)
% 197.27/34.19  | | | 
% 197.27/34.19  | | | REDUCE: (74), (96) imply:
% 197.27/34.19  | | |   (99)   ~ (all_52_3 = e2)
% 197.27/34.19  | | | 
% 197.27/34.19  | | | SIMP: (99) implies:
% 197.27/34.19  | | |   (100)   ~ (all_52_3 = e2)
% 197.27/34.19  | | | 
% 197.27/34.19  | | | REDUCE: (39), (97) imply:
% 197.27/34.19  | | |   (101)   ~ (all_52_9 = e2)
% 197.27/34.19  | | | 
% 197.27/34.19  | | | REDUCE: (59), (97) imply:
% 197.27/34.19  | | |   (102)   ~ (all_52_11 = e2)
% 197.27/34.19  | | | 
% 197.27/34.19  | | | SIMP: (102) implies:
% 197.27/34.19  | | |   (103)   ~ (all_52_11 = e2)
% 197.27/34.19  | | | 
% 197.27/34.19  | | | REDUCE: (52), (97) imply:
% 197.27/34.19  | | |   (104)   ~ (all_52_12 = e2)
% 197.27/34.19  | | | 
% 197.27/34.19  | | | SIMP: (104) implies:
% 197.27/34.19  | | |   (105)   ~ (all_52_12 = e2)
% 197.27/34.19  | | | 
% 197.27/34.19  | | | BETA: splitting (76) gives:
% 197.27/34.19  | | | 
% 197.27/34.19  | | | Case 1:
% 197.27/34.19  | | | | 
% 197.27/34.19  | | | |   (106)   ~ (all_42_2 = e1)
% 197.27/34.19  | | | | 
% 197.27/34.19  | | | | REDUCE: (41), (106) imply:
% 197.27/34.19  | | | |   (107)  $false
% 197.27/34.19  | | | | 
% 197.27/34.19  | | | | CLOSE: (107) is inconsistent.
% 197.27/34.19  | | | | 
% 197.27/34.19  | | | Case 2:
% 197.27/34.19  | | | | 
% 197.27/34.19  | | | |   (108)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 & op(e3, e1)
% 197.27/34.19  | | | |            = all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 =
% 197.27/34.19  | | | |              e0) & op(e3, e1) = all_42_1 & $i(all_42_1))
% 197.27/34.19  | | | | 
% 197.27/34.19  | | | | BETA: splitting (108) gives:
% 197.27/34.19  | | | | 
% 197.27/34.19  | | | | Case 1:
% 197.27/34.19  | | | | | 
% 197.27/34.19  | | | | |   (109)   ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 & op(e3, e1)
% 197.27/34.19  | | | | |          = all_42_1 & $i(all_42_0) & $i(all_42_1)
% 197.27/34.19  | | | | | 
% 197.27/34.19  | | | | | ALPHA: (109) implies:
% 197.27/34.19  | | | | |   (110)   ~ (all_42_0 = e2)
% 197.27/34.19  | | | | |   (111)  op(e3, e1) = all_42_1
% 197.27/34.19  | | | | |   (112)  op(all_42_1, e3) = all_42_0
% 197.27/34.19  | | | | | 
% 197.27/34.19  | | | | | BETA: splitting (38) gives:
% 197.27/34.19  | | | | | 
% 197.27/34.19  | | | | | Case 1:
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | |   (113)   ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 & op(e3,
% 197.27/34.19  | | | | | |            e1) = all_26_1 & $i(all_26_0) & $i(all_26_1)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | ALPHA: (113) implies:
% 197.27/34.19  | | | | | |   (114)   ~ (all_26_0 = e0)
% 197.27/34.19  | | | | | |   (115)  op(e3, e1) = all_26_1
% 197.27/34.19  | | | | | |   (116)  op(all_26_1, e3) = all_26_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | GROUND_INST: instantiating (20) with e2, all_42_1, e1, e3,
% 197.27/34.19  | | | | | |              simplifying with (95), (111) gives:
% 197.27/34.19  | | | | | |   (117)  all_42_1 = e2
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | GROUND_INST: instantiating (20) with all_26_1, all_42_1, e1, e3,
% 197.27/34.19  | | | | | |              simplifying with (111), (115) gives:
% 197.27/34.19  | | | | | |   (118)  all_42_1 = all_26_1
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | COMBINE_EQS: (117), (118) imply:
% 197.27/34.19  | | | | | |   (119)  all_26_1 = e2
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (112), (117) imply:
% 197.27/34.19  | | | | | |   (120)  op(e2, e3) = all_42_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (116), (119) imply:
% 197.27/34.19  | | | | | |   (121)  op(e2, e3) = all_26_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | GROUND_INST: instantiating (20) with all_52_1, all_26_0, e3, e2,
% 197.27/34.19  | | | | | |              simplifying with (86), (121) gives:
% 197.27/34.19  | | | | | |   (122)  all_52_1 = all_26_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | GROUND_INST: instantiating (20) with all_52_1, all_42_0, e3, e2,
% 197.27/34.19  | | | | | |              simplifying with (86), (120) gives:
% 197.27/34.19  | | | | | |   (123)  all_52_1 = all_42_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | COMBINE_EQS: (122), (123) imply:
% 197.27/34.19  | | | | | |   (124)  all_42_0 = all_26_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | SIMP: (124) implies:
% 197.27/34.19  | | | | | |   (125)  all_42_0 = all_26_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | COMBINE_EQS: (4), (122) imply:
% 197.27/34.19  | | | | | |   (126)  all_54_4 = all_26_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (78), (122) imply:
% 197.27/34.19  | | | | | |   (127)   ~ (all_52_3 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | SIMP: (127) implies:
% 197.27/34.19  | | | | | |   (128)   ~ (all_52_3 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (14), (122) imply:
% 197.27/34.19  | | | | | |   (129)   ~ (all_52_9 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | SIMP: (129) implies:
% 197.27/34.19  | | | | | |   (130)   ~ (all_52_9 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (56), (122) imply:
% 197.27/34.19  | | | | | |   (131)   ~ (all_52_13 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | SIMP: (131) implies:
% 197.27/34.19  | | | | | |   (132)   ~ (all_52_13 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (49), (122) imply:
% 197.27/34.19  | | | | | |   (133)   ~ (all_26_0 = e1)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (110), (125) imply:
% 197.27/34.19  | | | | | |   (134)   ~ (all_26_0 = e2)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12),
% 197.27/34.19  | | | | | |            (13), (15), (16), (17), (18), (19), (20), (21), (22),
% 197.27/34.19  | | | | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 197.27/34.19  | | | | | |            (32), (33), (34), (35), (36), (37), (40), (43), (44),
% 197.27/34.19  | | | | | |            (45), (47), (48), (50), (51), (52), (53), (54), (55),
% 197.27/34.19  | | | | | |            (57), (58), (60), (61), (62), (63), (64), (65), (66),
% 197.27/34.19  | | | | | |            (67), (68), (69), (70), (71), (72), (73), (75), (79),
% 197.27/34.19  | | | | | |            (80), (81), (82), (83), (84), (85), (88), (89), (90),
% 197.27/34.19  | | | | | |            (91), (100), (103), (105), (114), (126), (128), (130),
% 197.27/34.19  | | | | | |            (132), (133), (134) are inconsistent by sub-proof #1428.
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | Case 2:
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | |   (135)   ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 & $i(all_26_1)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | ALPHA: (135) implies:
% 197.27/34.19  | | | | | |   (136)   ~ (all_26_1 = e2)
% 197.27/34.19  | | | | | |   (137)  op(e3, e1) = all_26_1
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REF_CLOSE: (20), (95), (111), (136), (137) are inconsistent by
% 197.27/34.19  | | | | | |            sub-proof #1427.
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | End of split
% 197.27/34.19  | | | | | 
% 197.27/34.19  | | | | Case 2:
% 197.27/34.19  | | | | | 
% 197.27/34.19  | | | | |   (138)   ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 & $i(all_42_1)
% 197.27/34.19  | | | | | 
% 197.27/34.19  | | | | | ALPHA: (138) implies:
% 197.27/34.19  | | | | |   (139)   ~ (all_42_1 = e0)
% 197.27/34.19  | | | | |   (140)  op(e3, e1) = all_42_1
% 197.27/34.19  | | | | | 
% 197.27/34.19  | | | | | BETA: splitting (38) gives:
% 197.27/34.19  | | | | | 
% 197.27/34.19  | | | | | Case 1:
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | |   (141)   ~ (all_26_0 = e0) & op(all_26_1, e3) = all_26_0 & op(e3,
% 197.27/34.19  | | | | | |            e1) = all_26_1 & $i(all_26_0) & $i(all_26_1)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | ALPHA: (141) implies:
% 197.27/34.19  | | | | | |   (142)   ~ (all_26_0 = e0)
% 197.27/34.19  | | | | | |   (143)  op(e3, e1) = all_26_1
% 197.27/34.19  | | | | | |   (144)  op(all_26_1, e3) = all_26_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | GROUND_INST: instantiating (20) with e2, all_42_1, e1, e3,
% 197.27/34.19  | | | | | |              simplifying with (95), (140) gives:
% 197.27/34.19  | | | | | |   (145)  all_42_1 = e2
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | GROUND_INST: instantiating (20) with all_26_1, all_42_1, e1, e3,
% 197.27/34.19  | | | | | |              simplifying with (140), (143) gives:
% 197.27/34.19  | | | | | |   (146)  all_42_1 = all_26_1
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | COMBINE_EQS: (145), (146) imply:
% 197.27/34.19  | | | | | |   (147)  all_26_1 = e2
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (144), (147) imply:
% 197.27/34.19  | | | | | |   (148)  op(e2, e3) = all_26_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | GROUND_INST: instantiating (20) with all_52_1, all_26_0, e3, e2,
% 197.27/34.19  | | | | | |              simplifying with (86), (148) gives:
% 197.27/34.19  | | | | | |   (149)  all_52_1 = all_26_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | COMBINE_EQS: (4), (149) imply:
% 197.27/34.19  | | | | | |   (150)  all_54_4 = all_26_0
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (78), (149) imply:
% 197.27/34.19  | | | | | |   (151)   ~ (all_52_3 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | SIMP: (151) implies:
% 197.27/34.19  | | | | | |   (152)   ~ (all_52_3 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (14), (149) imply:
% 197.27/34.19  | | | | | |   (153)   ~ (all_52_9 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | SIMP: (153) implies:
% 197.27/34.19  | | | | | |   (154)   ~ (all_52_9 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (56), (149) imply:
% 197.27/34.19  | | | | | |   (155)   ~ (all_52_13 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | SIMP: (155) implies:
% 197.27/34.19  | | | | | |   (156)   ~ (all_52_13 = all_26_0)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (98), (149) imply:
% 197.27/34.19  | | | | | |   (157)   ~ (all_26_0 = e2)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REDUCE: (49), (149) imply:
% 197.27/34.19  | | | | | |   (158)   ~ (all_26_0 = e1)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12),
% 197.27/34.19  | | | | | |            (13), (15), (16), (17), (18), (19), (20), (21), (22),
% 197.27/34.19  | | | | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 197.27/34.19  | | | | | |            (32), (33), (34), (35), (36), (37), (40), (43), (44),
% 197.27/34.19  | | | | | |            (45), (47), (48), (50), (51), (52), (53), (54), (55),
% 197.27/34.19  | | | | | |            (57), (58), (60), (61), (62), (63), (64), (65), (66),
% 197.27/34.19  | | | | | |            (67), (68), (69), (70), (71), (72), (73), (75), (79),
% 197.27/34.19  | | | | | |            (80), (81), (82), (83), (84), (85), (88), (89), (90),
% 197.27/34.19  | | | | | |            (91), (100), (103), (105), (142), (150), (152), (154),
% 197.27/34.19  | | | | | |            (156), (157), (158) are inconsistent by sub-proof #1428.
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | Case 2:
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | |   (159)   ~ (all_26_1 = e2) & op(e3, e1) = all_26_1 & $i(all_26_1)
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | ALPHA: (159) implies:
% 197.27/34.19  | | | | | |   (160)   ~ (all_26_1 = e2)
% 197.27/34.19  | | | | | |   (161)  op(e3, e1) = all_26_1
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | | REF_CLOSE: (20), (95), (140), (160), (161) are inconsistent by
% 197.27/34.19  | | | | | |            sub-proof #1427.
% 197.27/34.19  | | | | | | 
% 197.27/34.19  | | | | | End of split
% 197.27/34.19  | | | | | 
% 197.27/34.19  | | | | End of split
% 197.27/34.19  | | | | 
% 197.27/34.19  | | | End of split
% 197.27/34.19  | | | 
% 197.27/34.19  | | Case 2:
% 197.27/34.19  | | | 
% 197.27/34.19  | | |   (162)  all_56_5 = e2 & op(e2, e1) = e2
% 197.27/34.19  | | | 
% 197.27/34.19  | | | ALPHA: (162) implies:
% 197.27/34.19  | | |   (163)  op(e2, e1) = e2
% 197.27/34.19  | | | 
% 197.27/34.19  | | | REF_CLOSE: (20), (44), (75), (163) are inconsistent by sub-proof #1942.
% 197.27/34.19  | | | 
% 197.27/34.19  | | End of split
% 197.27/34.19  | | 
% 197.27/34.19  | Case 2:
% 197.27/34.19  | | 
% 197.27/34.19  | |   (164)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 197.27/34.19  | |            e2)
% 197.27/34.19  | | 
% 197.27/34.19  | | REF_CLOSE: (1), (5), (19), (20), (29), (30), (34), (35), (46), (47), (48),
% 197.27/34.19  | |            (55), (61), (65), (66), (79), (80), (82), (85), (88), (89), (164)
% 197.27/34.19  | |            are inconsistent by sub-proof #1422.
% 197.27/34.19  | | 
% 197.27/34.19  | End of split
% 197.27/34.19  | 
% 197.27/34.19  End of proof
% 197.27/34.19  
% 197.27/34.19  Sub-proof #1422 shows that the following formulas are inconsistent:
% 197.27/34.19  ----------------------------------------------------------------
% 197.27/34.19    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.27/34.19         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.19    (2)   ~ (all_52_3 = e1)
% 197.27/34.19    (3)   ~ (e3 = e2)
% 197.27/34.19    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.19    (5)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.19    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.19         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.19    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.19         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.19    (8)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.27/34.19         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.19    (9)  op(e0, e3) = all_52_3
% 197.27/34.19    (10)   ~ (all_52_8 = e1)
% 197.27/34.19    (11)  op(e0, e1) = all_52_11
% 197.27/34.19    (12)  op(e1, e1) = e0
% 197.27/34.19    (13)   ~ (e1 = e0)
% 197.27/34.19    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.19          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.20    (15)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.20              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.27/34.20                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.20                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.27/34.20    (16)   ~ (e2 = e1)
% 197.27/34.20    (17)  op(e3, e1) = all_52_8
% 197.27/34.20    (18)  op(e0, e0) = e2
% 197.27/34.20    (19)   ~ (e3 = e1)
% 197.27/34.20    (20)   ~ (e2 = e0)
% 197.27/34.20    (21)   ~ (e3 = e0)
% 197.27/34.20    (22)   ~ (all_52_3 = all_52_11)
% 197.27/34.20  
% 197.27/34.20  Begin of proof
% 197.27/34.20  | 
% 197.27/34.20  | BETA: splitting (5) gives:
% 197.27/34.20  | 
% 197.27/34.20  | Case 1:
% 197.27/34.20  | | 
% 197.27/34.20  | |   (23)  all_56_8 = e2 & op(e1, e1) = e2
% 197.27/34.20  | | 
% 197.27/34.20  | | ALPHA: (23) implies:
% 197.27/34.20  | |   (24)  op(e1, e1) = e2
% 197.27/34.20  | | 
% 197.27/34.20  | | REF_CLOSE: (4), (12), (20), (24) are inconsistent by sub-proof #1821.
% 197.27/34.20  | | 
% 197.27/34.20  | Case 2:
% 197.27/34.20  | | 
% 197.27/34.20  | |   (25)  all_56_14 = e2 & op(e0, e1) = e2
% 197.27/34.20  | | 
% 197.27/34.20  | | ALPHA: (25) implies:
% 197.27/34.20  | |   (26)  all_56_14 = e2
% 197.27/34.20  | | 
% 197.27/34.20  | | BETA: splitting (8) gives:
% 197.27/34.20  | | 
% 197.27/34.20  | | Case 1:
% 197.27/34.20  | | | 
% 197.27/34.20  | | |   (27)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2)
% 197.27/34.20  | | |           = e1)
% 197.27/34.20  | | | 
% 197.27/34.20  | | | BETA: splitting (27) gives:
% 197.27/34.20  | | | 
% 197.27/34.20  | | | Case 1:
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | |   (28)  all_56_12 = e1 & op(e0, e3) = e1
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | | ALPHA: (28) implies:
% 197.27/34.20  | | | |   (29)  op(e0, e3) = e1
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | | REF_CLOSE: (2), (4), (9), (29) are inconsistent by sub-proof #1950.
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | Case 2:
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | |   (30)  all_56_13 = e1 & op(e0, e2) = e1
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | | ALPHA: (30) implies:
% 197.27/34.20  | | | |   (31)  all_56_13 = e1
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | | BETA: splitting (7) gives:
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | | Case 1:
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | |   (32)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2,
% 197.27/34.20  | | | | |             e1) = e1)
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | BETA: splitting (32) gives:
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | Case 1:
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | |   (33)  all_56_4 = e1 & op(e3, e1) = e1
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | | ALPHA: (33) implies:
% 197.27/34.20  | | | | | |   (34)  op(e3, e1) = e1
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | | REF_CLOSE: (4), (10), (17), (34) are inconsistent by sub-proof
% 197.27/34.20  | | | | | |            #1880.
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | Case 2:
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | |   (35)  all_56_5 = e1 & op(e2, e1) = e1
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | | ALPHA: (35) implies:
% 197.27/34.20  | | | | | |   (36)  all_56_5 = e1
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | | REF_CLOSE: (1), (3), (4), (6), (7), (9), (11), (12), (13), (14),
% 197.27/34.20  | | | | | |            (15), (16), (18), (19), (20), (21), (22), (26), (31),
% 197.27/34.20  | | | | | |            (36) are inconsistent by sub-proof #1424.
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | End of split
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | Case 2:
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | |   (37)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0,
% 197.27/34.20  | | | | |             e1) = e1)
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | REF_CLOSE: (4), (12), (13), (16), (26), (37) are inconsistent by
% 197.27/34.20  | | | | |            sub-proof #1509.
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | End of split
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | End of split
% 197.27/34.20  | | | 
% 197.27/34.20  | | Case 2:
% 197.27/34.20  | | | 
% 197.27/34.20  | | |   (38)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0)
% 197.27/34.20  | | |           = e1)
% 197.27/34.20  | | | 
% 197.27/34.20  | | | REF_CLOSE: (4), (16), (18), (26), (38) are inconsistent by sub-proof
% 197.27/34.20  | | |            #1423.
% 197.27/34.20  | | | 
% 197.27/34.20  | | End of split
% 197.27/34.20  | | 
% 197.27/34.20  | End of split
% 197.27/34.20  | 
% 197.27/34.20  End of proof
% 197.27/34.20  
% 197.27/34.20  Sub-proof #1423 shows that the following formulas are inconsistent:
% 197.27/34.20  ----------------------------------------------------------------
% 197.27/34.20    (1)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.20    (3)  all_56_14 = e2
% 197.27/34.20    (4)   ~ (e2 = e1)
% 197.27/34.20    (5)  op(e0, e0) = e2
% 197.27/34.20  
% 197.27/34.20  Begin of proof
% 197.27/34.20  | 
% 197.27/34.20  | BETA: splitting (1) gives:
% 197.27/34.20  | 
% 197.27/34.20  | Case 1:
% 197.27/34.20  | | 
% 197.27/34.20  | |   (6)  all_56_14 = e1 & op(e0, e1) = e1
% 197.27/34.20  | | 
% 197.27/34.20  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #1510.
% 197.27/34.20  | | 
% 197.27/34.20  | Case 2:
% 197.27/34.20  | | 
% 197.27/34.20  | |   (7)  all_56_15 = e1 & op(e0, e0) = e1
% 197.27/34.20  | | 
% 197.27/34.20  | | ALPHA: (7) implies:
% 197.27/34.20  | |   (8)  op(e0, e0) = e1
% 197.27/34.20  | | 
% 197.27/34.20  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1780.
% 197.27/34.20  | | 
% 197.27/34.20  | End of split
% 197.27/34.20  | 
% 197.27/34.20  End of proof
% 197.27/34.20  
% 197.27/34.20  Sub-proof #1424 shows that the following formulas are inconsistent:
% 197.27/34.20  ----------------------------------------------------------------
% 197.27/34.20    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.27/34.20         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.20    (2)   ~ (e3 = e2)
% 197.27/34.20    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.20    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.20         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.20    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.20         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.20    (6)  op(e0, e3) = all_52_3
% 197.27/34.20    (7)  all_56_14 = e2
% 197.27/34.20    (8)  op(e0, e1) = all_52_11
% 197.27/34.20    (9)  op(e1, e1) = e0
% 197.27/34.20    (10)  all_56_5 = e1
% 197.27/34.20    (11)   ~ (e1 = e0)
% 197.27/34.20    (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.20          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.20    (13)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.20              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.27/34.20                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.20                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.27/34.20    (14)   ~ (e2 = e1)
% 197.27/34.20    (15)  op(e0, e0) = e2
% 197.27/34.20    (16)   ~ (e3 = e1)
% 197.27/34.20    (17)   ~ (e2 = e0)
% 197.27/34.20    (18)   ~ (e3 = e0)
% 197.27/34.20    (19)   ~ (all_52_3 = all_52_11)
% 197.27/34.20    (20)  all_56_13 = e1
% 197.27/34.20  
% 197.27/34.20  Begin of proof
% 197.27/34.20  | 
% 197.27/34.20  | BETA: splitting (12) gives:
% 197.27/34.20  | 
% 197.27/34.20  | Case 1:
% 197.27/34.20  | | 
% 197.27/34.20  | |   (21)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 197.27/34.20  | |           e3)
% 197.27/34.20  | | 
% 197.27/34.20  | | BETA: splitting (21) gives:
% 197.27/34.20  | | 
% 197.27/34.20  | | Case 1:
% 197.27/34.20  | | | 
% 197.27/34.20  | | |   (22)  all_56_4 = e3 & op(e3, e1) = e3
% 197.27/34.20  | | | 
% 197.27/34.20  | | | ALPHA: (22) implies:
% 197.27/34.20  | | |   (23)  all_56_4 = e3
% 197.27/34.20  | | | 
% 197.27/34.20  | | | BETA: splitting (1) gives:
% 197.27/34.20  | | | 
% 197.27/34.20  | | | Case 1:
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | |   (24)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0,
% 197.27/34.20  | | | |             e2) = e3)
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | | BETA: splitting (24) gives:
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | | Case 1:
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | |   (25)  all_56_12 = e3 & op(e0, e3) = e3
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | ALPHA: (25) implies:
% 197.27/34.20  | | | | |   (26)  all_56_12 = e3
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | BETA: splitting (13) gives:
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | Case 1:
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | |   (27)  all_56_15 = e0 & op(e0, e0) = e0
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | | ALPHA: (27) implies:
% 197.27/34.20  | | | | | |   (28)  op(e0, e0) = e0
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | | REF_CLOSE: (3), (15), (17), (28) are inconsistent by sub-proof
% 197.27/34.20  | | | | | |            #1945.
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | Case 2:
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | |   (29)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 197.27/34.20  | | | | | |             op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 197.27/34.20  | | | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.20  | | | | | |             op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | | ALPHA: (29) implies:
% 197.27/34.20  | | | | | |   (30)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.20  | | | | | |           op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | | BETA: splitting (30) gives:
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | | Case 1:
% 197.27/34.20  | | | | | | | 
% 197.27/34.20  | | | | | | |   (31)  all_56_12 = e0 & op(e0, e3) = e0
% 197.27/34.20  | | | | | | | 
% 197.27/34.20  | | | | | | | ALPHA: (31) implies:
% 197.27/34.20  | | | | | | |   (32)  all_56_12 = e0
% 197.27/34.20  | | | | | | | 
% 197.27/34.20  | | | | | | | REF_CLOSE: (2), (3), (4), (9), (10), (12), (14), (16), (17), (18),
% 197.27/34.20  | | | | | | |            (23), (26), (32) are inconsistent by sub-proof #1426.
% 197.27/34.20  | | | | | | | 
% 197.27/34.20  | | | | | | Case 2:
% 197.27/34.20  | | | | | | | 
% 197.27/34.20  | | | | | | |   (33)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 &
% 197.27/34.20  | | | | | | |           op(e0, e1) = e0)
% 197.27/34.20  | | | | | | | 
% 197.27/34.20  | | | | | | | BETA: splitting (33) gives:
% 197.27/34.20  | | | | | | | 
% 197.27/34.20  | | | | | | | Case 1:
% 197.27/34.20  | | | | | | | | 
% 197.27/34.20  | | | | | | | |   (34)  all_56_13 = e0 & op(e0, e2) = e0
% 197.27/34.20  | | | | | | | | 
% 197.27/34.20  | | | | | | | | ALPHA: (34) implies:
% 197.27/34.20  | | | | | | | |   (35)  all_56_13 = e0
% 197.27/34.20  | | | | | | | | 
% 197.27/34.20  | | | | | | | | COMBINE_EQS: (20), (35) imply:
% 197.27/34.20  | | | | | | | |   (36)  e1 = e0
% 197.27/34.20  | | | | | | | | 
% 197.27/34.20  | | | | | | | | COMBINE_EQS: (10), (36) imply:
% 197.27/34.20  | | | | | | | |   (37)  all_56_5 = e0
% 197.27/34.20  | | | | | | | | 
% 197.27/34.20  | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (9), (11), (12), (14), (16),
% 197.27/34.20  | | | | | | | |            (17), (18), (37) are inconsistent by sub-proof #1551.
% 197.27/34.20  | | | | | | | | 
% 197.27/34.20  | | | | | | | Case 2:
% 197.27/34.20  | | | | | | | | 
% 197.27/34.20  | | | | | | | |   (38)  all_56_14 = e0 & op(e0, e1) = e0
% 197.27/34.20  | | | | | | | | 
% 197.27/34.20  | | | | | | | | ALPHA: (38) implies:
% 197.27/34.20  | | | | | | | |   (39)  op(e0, e1) = e0
% 197.27/34.20  | | | | | | | | 
% 197.27/34.20  | | | | | | | | REF_CLOSE: (3), (6), (7), (8), (11), (17), (19), (20), (30),
% 197.27/34.20  | | | | | | | |            (39) are inconsistent by sub-proof #1425.
% 197.27/34.20  | | | | | | | | 
% 197.27/34.20  | | | | | | | End of split
% 197.27/34.20  | | | | | | | 
% 197.27/34.20  | | | | | | End of split
% 197.27/34.20  | | | | | | 
% 197.27/34.20  | | | | | End of split
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | Case 2:
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | |   (40)  all_56_13 = e3 & op(e0, e2) = e3
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | ALPHA: (40) implies:
% 197.27/34.20  | | | | |   (41)  all_56_13 = e3
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | REF_CLOSE: (16), (20), (41) are inconsistent by sub-proof #1864.
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | End of split
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | Case 2:
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | |   (42)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 197.27/34.20  | | | |             e0) = e3)
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | | BETA: splitting (42) gives:
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | | Case 1:
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | |   (43)  all_56_14 = e3 & op(e0, e1) = e3
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | ALPHA: (43) implies:
% 197.27/34.20  | | | | |   (44)  all_56_14 = e3
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | REF_CLOSE: (2), (7), (44) are inconsistent by sub-proof #1495.
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | Case 2:
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | |   (45)  all_56_15 = e3 & op(e0, e0) = e3
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | ALPHA: (45) implies:
% 197.27/34.20  | | | | |   (46)  op(e0, e0) = e3
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | | REF_CLOSE: (2), (3), (15), (46) are inconsistent by sub-proof #1692.
% 197.27/34.20  | | | | | 
% 197.27/34.20  | | | | End of split
% 197.27/34.20  | | | | 
% 197.27/34.20  | | | End of split
% 197.27/34.20  | | | 
% 197.27/34.20  | | Case 2:
% 197.27/34.20  | | | 
% 197.27/34.20  | | |   (47)  all_56_5 = e3 & op(e2, e1) = e3
% 197.27/34.20  | | | 
% 197.27/34.20  | | | ALPHA: (47) implies:
% 197.27/34.20  | | |   (48)  all_56_5 = e3
% 197.27/34.20  | | | 
% 197.27/34.20  | | | REF_CLOSE: (10), (16), (48) are inconsistent by sub-proof #1825.
% 197.27/34.20  | | | 
% 197.27/34.20  | | End of split
% 197.27/34.20  | | 
% 197.27/34.20  | Case 2:
% 197.27/34.20  | | 
% 197.27/34.20  | |   (49)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 197.27/34.20  | |           e3)
% 197.27/34.20  | | 
% 197.27/34.20  | | REF_CLOSE: (2), (3), (7), (9), (18), (49) are inconsistent by sub-proof
% 197.27/34.20  | |            #1494.
% 197.27/34.20  | | 
% 197.27/34.20  | End of split
% 197.27/34.20  | 
% 197.27/34.20  End of proof
% 197.27/34.20  
% 197.27/34.20  Sub-proof #1425 shows that the following formulas are inconsistent:
% 197.27/34.20  ----------------------------------------------------------------
% 197.27/34.20    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.20    (2)  op(e0, e3) = all_52_3
% 197.27/34.20    (3)  all_56_14 = e2
% 197.27/34.20    (4)  op(e0, e1) = e0
% 197.27/34.20    (5)  op(e0, e1) = all_52_11
% 197.27/34.20    (6)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.27/34.20         (all_56_14 = e0 & op(e0, e1) = e0)
% 197.27/34.20    (7)   ~ (e1 = e0)
% 197.27/34.20    (8)   ~ (e2 = e0)
% 197.27/34.20    (9)   ~ (all_52_3 = all_52_11)
% 197.27/34.20    (10)  all_56_13 = e1
% 197.27/34.20  
% 197.27/34.20  Begin of proof
% 197.27/34.20  | 
% 197.27/34.20  | BETA: splitting (6) gives:
% 197.27/34.20  | 
% 197.27/34.20  | Case 1:
% 197.27/34.20  | | 
% 197.27/34.20  | |   (11)  all_56_12 = e0 & op(e0, e3) = e0
% 197.27/34.20  | | 
% 197.27/34.20  | | ALPHA: (11) implies:
% 197.27/34.20  | |   (12)  op(e0, e3) = e0
% 197.27/34.20  | | 
% 197.27/34.20  | | REF_CLOSE: (1), (2), (4), (5), (9), (12) are inconsistent by sub-proof
% 197.27/34.20  | |            #1671.
% 197.27/34.20  | | 
% 197.27/34.20  | Case 2:
% 197.27/34.20  | | 
% 197.27/34.20  | |   (13)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.27/34.20  | |           e0)
% 197.27/34.20  | | 
% 197.27/34.20  | | BETA: splitting (13) gives:
% 197.27/34.20  | | 
% 197.27/34.20  | | Case 1:
% 197.27/34.20  | | | 
% 197.27/34.20  | | |   (14)  all_56_13 = e0 & op(e0, e2) = e0
% 197.27/34.20  | | | 
% 197.27/34.20  | | | REF_CLOSE: (7), (10), (14) are inconsistent by sub-proof #1867.
% 197.27/34.20  | | | 
% 197.27/34.20  | | Case 2:
% 197.27/34.20  | | | 
% 197.27/34.20  | | |   (15)  all_56_14 = e0 & op(e0, e1) = e0
% 197.27/34.20  | | | 
% 197.27/34.20  | | | REF_CLOSE: (3), (8), (15) are inconsistent by sub-proof #1498.
% 197.27/34.20  | | | 
% 197.27/34.20  | | End of split
% 197.27/34.20  | | 
% 197.27/34.20  | End of split
% 197.27/34.20  | 
% 197.27/34.20  End of proof
% 197.27/34.20  
% 197.27/34.20  Sub-proof #1426 shows that the following formulas are inconsistent:
% 197.27/34.20  ----------------------------------------------------------------
% 197.27/34.20    (1)   ~ (e3 = e2)
% 197.27/34.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.20    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.20         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.20    (4)  all_56_4 = e3
% 197.27/34.20    (5)  all_56_12 = e3
% 197.27/34.20    (6)  op(e1, e1) = e0
% 197.27/34.20    (7)  all_56_5 = e1
% 197.27/34.20    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.20         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.20    (9)   ~ (e2 = e1)
% 197.27/34.20    (10)  all_56_12 = e0
% 197.27/34.20    (11)   ~ (e3 = e1)
% 197.27/34.20    (12)   ~ (e2 = e0)
% 197.27/34.20    (13)   ~ (e3 = e0)
% 197.27/34.20  
% 197.27/34.20  Begin of proof
% 197.27/34.20  | 
% 197.27/34.20  | COMBINE_EQS: (5), (10) imply:
% 197.27/34.20  |   (14)  e3 = e0
% 197.27/34.20  | 
% 197.27/34.20  | COMBINE_EQS: (4), (14) imply:
% 197.27/34.20  |   (15)  all_56_4 = e0
% 197.27/34.20  | 
% 197.27/34.20  | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (11), (12), (13), (15) are
% 197.27/34.20  |            inconsistent by sub-proof #1817.
% 197.27/34.20  | 
% 197.27/34.20  End of proof
% 197.27/34.20  
% 197.27/34.20  Sub-proof #1427 shows that the following formulas are inconsistent:
% 197.27/34.20  ----------------------------------------------------------------
% 197.27/34.20    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.20    (2)  op(e3, e1) = e2
% 197.27/34.20    (3)  op(e3, e1) = all_26_1
% 197.27/34.20    (4)  op(e3, e1) = all_42_1
% 197.27/34.20    (5)   ~ (all_26_1 = e2)
% 197.27/34.20  
% 197.27/34.20  Begin of proof
% 197.27/34.20  | 
% 197.27/34.20  | GROUND_INST: instantiating (1) with e2, all_42_1, e1, e3, simplifying with
% 197.27/34.20  |              (2), (4) gives:
% 197.27/34.20  |   (6)  all_42_1 = e2
% 197.27/34.20  | 
% 197.27/34.20  | GROUND_INST: instantiating (1) with all_26_1, all_42_1, e1, e3, simplifying
% 197.27/34.20  |              with (3), (4) gives:
% 197.27/34.20  |   (7)  all_42_1 = all_26_1
% 197.27/34.20  | 
% 197.27/34.20  | COMBINE_EQS: (6), (7) imply:
% 197.27/34.20  |   (8)  all_26_1 = e2
% 197.27/34.20  | 
% 197.27/34.20  | REDUCE: (5), (8) imply:
% 197.27/34.20  |   (9)  $false
% 197.27/34.20  | 
% 197.27/34.20  | CLOSE: (9) is inconsistent.
% 197.27/34.20  | 
% 197.27/34.20  End of proof
% 197.27/34.20  
% 197.27/34.20  Sub-proof #1428 shows that the following formulas are inconsistent:
% 197.27/34.20  ----------------------------------------------------------------
% 197.27/34.20    (1)  op(e1, e3) = all_52_2
% 197.27/34.20    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.27/34.20           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.27/34.20           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.27/34.20                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.27/34.20               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.27/34.20               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.20           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.27/34.20           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.20               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.27/34.20           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.27/34.20               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.27/34.20           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.27/34.20           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.27/34.20               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.20               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.20               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.20         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.27/34.20           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.27/34.20           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.27/34.20               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.20             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.20         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.27/34.20           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.27/34.20           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.27/34.20                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.27/34.20               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.27/34.20               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.27/34.20           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.27/34.20           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.20             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.20           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.20               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.27/34.20           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.27/34.20           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.27/34.20               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.20               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.20               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.20         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.27/34.20           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.27/34.20           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.27/34.20               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.20             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.20         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.27/34.20           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.27/34.20           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.27/34.20                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.27/34.20               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.27/34.20               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.27/34.20           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.27/34.20             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.20               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.20           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.20               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.27/34.20           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.27/34.20           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.27/34.20               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.20               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.20               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.20         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.27/34.20           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.27/34.20           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.27/34.20               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.27/34.20             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.27/34.20         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.20             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.20           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.20               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.20             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.20         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.27/34.20             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.20           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.20               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.20             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.20         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.27/34.20             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.20           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.27/34.20               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.27/34.20             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.20         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.27/34.20             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.20           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.27/34.20               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.27/34.20             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.20    (3)   ~ (all_52_3 = e1)
% 197.27/34.20    (4)  op(e1, e2) = all_52_6
% 197.27/34.20    (5)  all_54_7 = all_52_13
% 197.27/34.20    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.20         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.20    (7)   ~ (all_52_3 = e2)
% 197.27/34.20    (8)   ~ (all_52_7 = e2)
% 197.27/34.20    (9)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.27/34.20    (10)  all_54_3 = all_52_12
% 197.27/34.20    (11)  all_54_6 = all_52_9
% 197.27/34.20    (12)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.27/34.20          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.27/34.20    (13)   ~ (all_52_9 = all_26_0)
% 197.27/34.20    (14)   ~ (all_52_6 = all_52_7)
% 197.27/34.20    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.20          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.20    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.20          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.21    (17)   ~ (all_52_13 = e2)
% 197.27/34.21    (18)   ~ (e3 = e2)
% 197.27/34.21    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.21            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.21    (20)  op(e3, e2) = all_52_4
% 197.27/34.21    (21)  op(e2, e2) = all_4_2
% 197.27/34.21    (22)   ~ (all_52_9 = e0)
% 197.27/34.21    (23)   ~ (all_52_12 = all_52_13)
% 197.27/34.21    (24)   ~ (all_26_0 = e1)
% 197.27/34.21    (25)  op(e3, e3) = e1
% 197.27/34.21    (26)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 197.27/34.21    (27)   ~ (all_52_7 = all_52_11)
% 197.27/34.21    (28)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.27/34.21          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.21    (29)   ~ (all_26_0 = e0)
% 197.27/34.21    (30)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.21          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.21    (31)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.21          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.21    (32)   ~ (all_52_3 = all_52_7)
% 197.27/34.21    (33)  all_54_12 = all_52_3
% 197.27/34.21    (34)  all_54_13 = all_52_7
% 197.27/34.21    (35)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.21          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.27/34.21            e1)
% 197.27/34.21    (36)   ~ (all_52_13 = all_26_0)
% 197.27/34.21    (37)  op(e0, e3) = all_52_3
% 197.27/34.21    (38)  op(e2, e0) = all_52_13
% 197.27/34.21    (39)  op(e1, e0) = all_52_14
% 197.27/34.21    (40)   ~ (all_52_12 = e2)
% 197.27/34.21    (41)   ~ (all_52_4 = all_52_12)
% 197.27/34.21    (42)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.21              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.21            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.21            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.21            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.21            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.27/34.21            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.27/34.21            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.21            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.27/34.21            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.21            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.21            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.27/34.21            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.21            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.21            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.21            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.21            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.21            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.27/34.21            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.21            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.21            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.27/34.21            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.21            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.21            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.27/34.21            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.21            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.21            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.21            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.21            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.21            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.27/34.21            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.21            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.21            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.21            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.21            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.21            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.21            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.21            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.21            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.21            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.21            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.21            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.27/34.21            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.21            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.21            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.27/34.21            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.21            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.21            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.27/34.21              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.27/34.21            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.21            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.27/34.21              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.21            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.21            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.27/34.21                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.21                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.21                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.21                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.21                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.27/34.21                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.27/34.21                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.21              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.21                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.27/34.21                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.21                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.27/34.21                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.27/34.21                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.21                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.21                $i(all_57_7))))
% 197.27/34.21    (43)  all_56_6 = e2
% 197.27/34.21    (44)   ~ (all_52_9 = e2)
% 197.27/34.21    (45)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.27/34.21    (46)  all_54_4 = all_26_0
% 197.27/34.21    (47)  op(e0, e1) = all_52_11
% 197.27/34.21    (48)  op(e1, e1) = e0
% 197.27/34.21    (49)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.21          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.21    (50)   ~ (all_4_2 = e3)
% 197.27/34.21    (51)   ~ (all_52_8 = all_52_12)
% 197.27/34.21    (52)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.27/34.21    (53)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.21          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.27/34.21    (54)   ~ (e1 = e0)
% 197.27/34.21    (55)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 197.27/34.21          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.21    (56)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.27/34.21    (57)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.27/34.21          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.27/34.21    (58)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.21          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.21    (59)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.27/34.21    (60)   ~ (all_52_13 = all_52_14)
% 197.27/34.21    (61)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 197.27/34.21    (62)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.21              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.27/34.21                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.21                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.27/34.21    (63)   ~ (e2 = e1)
% 197.27/34.21    (64)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.21          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.21    (65)  all_54_14 = all_52_11
% 197.27/34.21    (66)   ~ (all_52_11 = e0)
% 197.27/34.21    (67)   ~ (all_52_12 = e1)
% 197.27/34.21    (68)   ~ (all_52_2 = e1)
% 197.27/34.21    (69)  op(e3, e0) = all_52_12
% 197.27/34.21    (70)  op(e2, e2) = e2
% 197.27/34.21    (71)  op(e2, e1) = all_52_9
% 197.27/34.21    (72)   ~ (all_52_3 = all_26_0)
% 197.27/34.21    (73)   ~ (all_26_0 = e2)
% 197.27/34.21    (74)  op(e3, e1) = all_52_8
% 197.27/34.21    (75)  op(e0, e0) = e2
% 197.27/34.21    (76)   ~ (all_52_9 = all_52_13)
% 197.27/34.21    (77)   ~ (e3 = e1)
% 197.27/34.21    (78)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.21          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.21    (79)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.21          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.21    (80)   ~ (e2 = e0)
% 197.27/34.21    (81)   ~ (e3 = e0)
% 197.27/34.21    (82)   ~ (all_52_3 = all_52_11)
% 197.27/34.21    (83)   ~ (all_52_11 = e2)
% 197.27/34.21    (84)   ~ (all_52_9 = all_52_11)
% 197.27/34.21  
% 197.27/34.21  Begin of proof
% 197.27/34.21  | 
% 197.27/34.21  | BETA: splitting (12) gives:
% 197.27/34.21  | 
% 197.27/34.21  | Case 1:
% 197.27/34.21  | | 
% 197.27/34.21  | |   (85)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 197.27/34.21  | |           e0)
% 197.27/34.21  | | 
% 197.27/34.21  | | BETA: splitting (85) gives:
% 197.27/34.21  | | 
% 197.27/34.21  | | Case 1:
% 197.27/34.21  | | | 
% 197.27/34.21  | | |   (86)  all_56_2 = e0 & op(e2, e3) = e0
% 197.27/34.21  | | | 
% 197.27/34.21  | | | ALPHA: (86) implies:
% 197.27/34.21  | | |   (87)  all_56_2 = e0
% 197.27/34.21  | | | 
% 197.27/34.21  | | | BETA: splitting (56) gives:
% 197.27/34.21  | | | 
% 197.27/34.21  | | | Case 1:
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | |   (88)  all_54_4 = e3
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | COMBINE_EQS: (46), (88) imply:
% 197.27/34.21  | | | |   (89)  all_26_0 = e3
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | SIMP: (89) implies:
% 197.27/34.21  | | | |   (90)  all_26_0 = e3
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | REDUCE: (72), (90) imply:
% 197.27/34.21  | | | |   (91)   ~ (all_52_3 = e3)
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | REDUCE: (13), (90) imply:
% 197.27/34.21  | | | |   (92)   ~ (all_52_9 = e3)
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | REDUCE: (36), (90) imply:
% 197.27/34.21  | | | |   (93)   ~ (all_52_13 = e3)
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | BETA: splitting (45) gives:
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | Case 1:
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | |   (94)  all_54_6 = e3
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | | REF_CLOSE: (11), (92), (94) are inconsistent by sub-proof #1468.
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | Case 2:
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | |   (95)   ~ (all_54_6 = e3)
% 197.27/34.21  | | | | |   (96)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | | BETA: splitting (96) gives:
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | | Case 1:
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | |   (97)  all_54_6 = e2
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | | REF_CLOSE: (11), (44), (97) are inconsistent by sub-proof #1467.
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | Case 2:
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | |   (98)  all_54_6 = e1 | all_54_6 = e0
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | | BETA: splitting (26) gives:
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | | Case 1:
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | |   (99)  all_54_12 = e3
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | | REF_CLOSE: (33), (91), (99) are inconsistent by sub-proof #1466.
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | Case 2:
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | |   (100)   ~ (all_54_12 = e3)
% 197.27/34.21  | | | | | | |   (101)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | | BETA: splitting (101) gives:
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | |   (102)  all_54_12 = e2
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | | REF_CLOSE: (7), (33), (102) are inconsistent by sub-proof #1465.
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | Case 2:
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | |   (103)   ~ (all_54_12 = e2)
% 197.27/34.21  | | | | | | | |   (104)  all_54_12 = e1 | all_54_12 = e0
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | | BETA: splitting (104) gives:
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | |   (105)  all_54_12 = e1
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | REF_CLOSE: (3), (33), (105) are inconsistent by sub-proof
% 197.27/34.21  | | | | | | | | |            #1464.
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | Case 2:
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | |   (106)  all_54_12 = e0
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | COMBINE_EQS: (33), (106) imply:
% 197.27/34.21  | | | | | | | | |   (107)  all_52_3 = e0
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | SIMP: (107) implies:
% 197.27/34.21  | | | | | | | | |   (108)  all_52_3 = e0
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | REDUCE: (91), (108) imply:
% 197.27/34.21  | | | | | | | | |   (109)   ~ (e3 = e0)
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | REDUCE: (7), (108) imply:
% 197.27/34.21  | | | | | | | | |   (110)   ~ (e2 = e0)
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | REDUCE: (3), (108) imply:
% 197.27/34.21  | | | | | | | | |   (111)   ~ (e1 = e0)
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | REDUCE: (37), (108) imply:
% 197.27/34.21  | | | | | | | | |   (112)  op(e0, e3) = e0
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | BETA: splitting (57) gives:
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | |   (113)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 197.27/34.21  | | | | | | | | | |            & op(e2, e3) = e3)
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | REF_CLOSE: (19), (25), (77), (81), (87), (113) are
% 197.27/34.21  | | | | | | | | | |            inconsistent by sub-proof #1463.
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | Case 2:
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | |   (114)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3
% 197.27/34.21  | | | | | | | | | |            & op(e0, e3) = e3)
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | BETA: splitting (114) gives:
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | |   (115)  all_56_6 = e3 & op(e1, e3) = e3
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | ALPHA: (115) implies:
% 197.27/34.21  | | | | | | | | | | |   (116)  all_56_6 = e3
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | REF_CLOSE: (6), (15), (16), (18), (19), (21), (38), (49),
% 197.27/34.21  | | | | | | | | | | |            (50), (54), (63), (71), (77), (80), (81), (92),
% 197.27/34.21  | | | | | | | | | | |            (93), (116) are inconsistent by sub-proof #1454.
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | Case 2:
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | |   (117)  all_56_12 = e3 & op(e0, e3) = e3
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | ALPHA: (117) implies:
% 197.27/34.21  | | | | | | | | | | |   (118)  all_56_12 = e3
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | BETA: splitting (62) gives:
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | |   (119)  all_56_15 = e0 & op(e0, e0) = e0
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | ALPHA: (119) implies:
% 197.27/34.21  | | | | | | | | | | | |   (120)  op(e0, e0) = e0
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | REF_CLOSE: (19), (75), (80), (120) are inconsistent by
% 197.27/34.21  | | | | | | | | | | | |            sub-proof #1945.
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | Case 2:
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | |   (121)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 197.27/34.21  | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 197.27/34.21  | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 197.27/34.21  | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.27/34.21  | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | ALPHA: (121) implies:
% 197.27/34.21  | | | | | | | | | | | |   (122)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 197.27/34.21  | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 197.27/34.21  | | | | | | | | | | | |              e1) = e0)
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | REF_CLOSE: (3), (11), (19), (22), (35), (37), (47), (54),
% 197.27/34.21  | | | | | | | | | | | |            (63), (75), (81), (82), (84), (98), (112), (118),
% 197.27/34.21  | | | | | | | | | | | |            (122) are inconsistent by sub-proof #1450.
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | End of split
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | End of split
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | End of split
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | End of split
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | End of split
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | End of split
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | End of split
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | End of split
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | Case 2:
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | |   (123)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | REF_CLOSE: (24), (29), (46), (73), (123) are inconsistent by sub-proof
% 197.27/34.21  | | | |            #1449.
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | End of split
% 197.27/34.21  | | | 
% 197.27/34.21  | | Case 2:
% 197.27/34.21  | | | 
% 197.27/34.21  | | |   (124)  all_56_3 = e0 & op(e2, e2) = e0
% 197.27/34.21  | | | 
% 197.27/34.21  | | | ALPHA: (124) implies:
% 197.27/34.21  | | |   (125)  op(e2, e2) = e0
% 197.27/34.21  | | | 
% 197.27/34.21  | | | REF_CLOSE: (19), (70), (80), (125) are inconsistent by sub-proof #1939.
% 197.27/34.21  | | | 
% 197.27/34.21  | | End of split
% 197.27/34.21  | | 
% 197.27/34.21  | Case 2:
% 197.27/34.21  | | 
% 197.27/34.21  | |   (126)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 197.27/34.21  | |            e0)
% 197.27/34.21  | | 
% 197.27/34.21  | | BETA: splitting (126) gives:
% 197.27/34.21  | | 
% 197.27/34.21  | | Case 1:
% 197.27/34.21  | | | 
% 197.27/34.21  | | |   (127)  all_56_5 = e0 & op(e2, e1) = e0
% 197.27/34.21  | | | 
% 197.27/34.21  | | | ALPHA: (127) implies:
% 197.27/34.21  | | |   (128)  all_56_5 = e0
% 197.27/34.21  | | | 
% 197.27/34.21  | | | REF_CLOSE: (18), (19), (30), (31), (48), (54), (58), (63), (77), (80),
% 197.27/34.21  | | |            (81), (128) are inconsistent by sub-proof #1551.
% 197.27/34.21  | | | 
% 197.27/34.21  | | Case 2:
% 197.27/34.21  | | | 
% 197.27/34.21  | | |   (129)  all_56_10 = e0 & op(e2, e0) = e0
% 197.27/34.21  | | | 
% 197.27/34.21  | | | ALPHA: (129) implies:
% 197.27/34.21  | | |   (130)  all_56_10 = e0
% 197.27/34.21  | | | 
% 197.27/34.21  | | | BETA: splitting (56) gives:
% 197.27/34.21  | | | 
% 197.27/34.21  | | | Case 1:
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | |   (131)  all_54_4 = e3
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | COMBINE_EQS: (46), (131) imply:
% 197.27/34.21  | | | |   (132)  all_26_0 = e3
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | SIMP: (132) implies:
% 197.27/34.21  | | | |   (133)  all_26_0 = e3
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | REDUCE: (13), (133) imply:
% 197.27/34.21  | | | |   (134)   ~ (all_52_9 = e3)
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | REDUCE: (36), (133) imply:
% 197.27/34.21  | | | |   (135)   ~ (all_52_13 = e3)
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | BETA: splitting (45) gives:
% 197.27/34.21  | | | | 
% 197.27/34.21  | | | | Case 1:
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | |   (136)  all_54_6 = e3
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | | REF_CLOSE: (11), (134), (136) are inconsistent by sub-proof #1468.
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | Case 2:
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | |   (137)   ~ (all_54_6 = e3)
% 197.27/34.21  | | | | |   (138)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | | BETA: splitting (138) gives:
% 197.27/34.21  | | | | | 
% 197.27/34.21  | | | | | Case 1:
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | |   (139)  all_54_6 = e2
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | | REF_CLOSE: (11), (44), (139) are inconsistent by sub-proof #1467.
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | Case 2:
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | |   (140)   ~ (all_54_6 = e2)
% 197.27/34.21  | | | | | |   (141)  all_54_6 = e1 | all_54_6 = e0
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | | BETA: splitting (28) gives:
% 197.27/34.21  | | | | | | 
% 197.27/34.21  | | | | | | Case 1:
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | |   (142)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 &
% 197.27/34.21  | | | | | | |            op(e2, e0) = e1)
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | | BETA: splitting (142) gives:
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | |   (143)  all_56_9 = e1 & op(e3, e0) = e1
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | | ALPHA: (143) implies:
% 197.27/34.21  | | | | | | | |   (144)  op(e3, e0) = e1
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | | REF_CLOSE: (19), (67), (69), (144) are inconsistent by sub-proof
% 197.27/34.21  | | | | | | | |            #1949.
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | Case 2:
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | |   (145)  all_56_10 = e1 & op(e2, e0) = e1
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | | REF_CLOSE: (54), (130), (145) are inconsistent by sub-proof
% 197.27/34.21  | | | | | | | |            #1448.
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | End of split
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | Case 2:
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | |   (146)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 197.27/34.21  | | | | | | |            op(e0, e0) = e1)
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | | BETA: splitting (146) gives:
% 197.27/34.21  | | | | | | | 
% 197.27/34.21  | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | |   (147)  all_56_11 = e1 & op(e1, e0) = e1
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | | ALPHA: (147) implies:
% 197.27/34.21  | | | | | | | |   (148)  all_56_11 = e1
% 197.27/34.21  | | | | | | | |   (149)  op(e1, e0) = e1
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | | BETA: splitting (53) gives:
% 197.27/34.21  | | | | | | | | 
% 197.27/34.21  | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | |   (150)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 197.27/34.21  | | | | | | | | |            op(e2, e2) = e1)
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | REF_CLOSE: (6), (15), (18), (19), (25), (54), (57), (63),
% 197.27/34.21  | | | | | | | | |            (70), (77), (80), (81), (150) are inconsistent by
% 197.27/34.21  | | | | | | | | |            sub-proof #1447.
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | Case 2:
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | |   (151)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 &
% 197.27/34.21  | | | | | | | | |            op(e2, e0) = e1)
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | BETA: splitting (151) gives:
% 197.27/34.21  | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | |   (152)  all_56_5 = e1 & op(e2, e1) = e1
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | ALPHA: (152) implies:
% 197.27/34.21  | | | | | | | | | |   (153)  all_56_5 = e1
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | BETA: splitting (62) gives:
% 197.27/34.21  | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | |   (154)  all_56_15 = e0 & op(e0, e0) = e0
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | ALPHA: (154) implies:
% 197.27/34.21  | | | | | | | | | | |   (155)  op(e0, e0) = e0
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | REF_CLOSE: (19), (75), (80), (155) are inconsistent by
% 197.27/34.21  | | | | | | | | | | |            sub-proof #1945.
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | Case 2:
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | |   (156)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 197.27/34.21  | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 197.27/34.21  | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 197.27/34.21  | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.27/34.21  | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | ALPHA: (156) implies:
% 197.27/34.21  | | | | | | | | | | |   (157)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 197.27/34.21  | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 197.27/34.21  | | | | | | | | | | |              e1) = e0)
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | BETA: splitting (157) gives:
% 197.27/34.21  | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | |   (158)  all_56_12 = e0 & op(e0, e3) = e0
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | ALPHA: (158) implies:
% 197.27/34.21  | | | | | | | | | | | |   (159)  all_56_12 = e0
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | BETA: splitting (57) gives:
% 197.27/34.21  | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | |   (160)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 197.27/34.21  | | | | | | | | | | | | |            & op(e2, e3) = e3)
% 197.27/34.21  | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | BETA: splitting (160) gives:
% 197.27/34.21  | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | |   (161)  all_56_0 = e3 & op(e3, e3) = e3
% 197.27/34.21  | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | ALPHA: (161) implies:
% 197.27/34.21  | | | | | | | | | | | | | |   (162)  op(e3, e3) = e3
% 197.27/34.21  | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | REF_CLOSE: (19), (25), (77), (162) are inconsistent by
% 197.27/34.21  | | | | | | | | | | | | | |            sub-proof #1966.
% 197.27/34.21  | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | Case 2:
% 197.27/34.21  | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | |   (163)  all_56_2 = e3 & op(e2, e3) = e3
% 197.27/34.21  | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | ALPHA: (163) implies:
% 197.27/34.21  | | | | | | | | | | | | | |   (164)  all_56_2 = e3
% 197.27/34.21  | | | | | | | | | | | | | |   (165)  op(e2, e3) = e3
% 197.27/34.21  | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 197.27/34.21  | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | |   (166)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 197.27/34.21  | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 197.27/34.21  | | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 197.27/34.21  | | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | | Case 1:
% 197.27/34.21  | | | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | | |   (167)  all_56_6 = e3 & op(e1, e3) = e3
% 197.27/34.21  | | | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | | | ALPHA: (167) implies:
% 197.27/34.21  | | | | | | | | | | | | | | | |   (168)  all_56_6 = e3
% 197.27/34.21  | | | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15), (16), (18), (19), (54), (63), (77),
% 197.27/34.21  | | | | | | | | | | | | | | | |            (80), (81), (164), (168) are inconsistent by
% 197.27/34.21  | | | | | | | | | | | | | | | |            sub-proof #1458.
% 197.27/34.21  | | | | | | | | | | | | | | | | 
% 197.27/34.21  | | | | | | | | | | | | | | | Case 2:
% 197.27/34.21  | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | |   (169)  all_56_7 = e3 & op(e1, e2) = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 197.27/34.22  | | | | | | | | | | | | | | | |   (170)  all_56_7 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | |   (171)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 197.27/34.22  | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 197.27/34.22  | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | |   (172)  all_56_9 = e3 & op(e3, e0) = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 197.27/34.22  | | | | | | | | | | | | | | | | | |   (173)  op(e3, e0) = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | |   (174)  all_54_6 = e1
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (174) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | |   (175)  all_52_9 = e1
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | SIMP: (175) implies:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | |   (176)  all_52_9 = e1
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | REDUCE: (84), (176) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | |   (177)   ~ (all_52_11 = e1)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | SIMP: (177) implies:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | |   (178)   ~ (all_52_11 = e1)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | REDUCE: (76), (176) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | |   (179)   ~ (all_52_13 = e1)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | SIMP: (179) implies:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | |   (180)   ~ (all_52_13 = e1)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | REDUCE: (44), (176) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | |   (181)   ~ (e2 = e1)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | REDUCE: (71), (176) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | |   (182)  op(e2, e1) = e1
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | |   (183)  all_54_14 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (183) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | |   (184)  all_52_11 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | SIMP: (184) implies:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | |   (185)  all_52_11 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (185) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | |   (186)   ~ (all_52_3 = e3)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (185) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | |   (187)   ~ (all_52_7 = e3)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | |   (188)  all_54_7 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (135), (188) are inconsistent by sub-proof
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | |            #1484.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | |   (189)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | |   (190)  all_54_7 = e2
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17), (190) are inconsistent by sub-proof
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | |            #1483.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | |   (191)   ~ (all_54_7 = e2)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | |   (192)  all_54_7 = e1 | all_54_7 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_54_7 = e1
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (180), (193) are inconsistent by sub-proof
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | |            #1446.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_54_7 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (194) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_52_13 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (195) implies:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_52_13 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (196) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | |   (197)   ~ (all_52_12 = e0)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (196) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | |   (198)   ~ (all_52_14 = e0)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (198) implies:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | |   (199)   ~ (all_52_14 = e0)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_54_3 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (200) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_52_12 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (201) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | |   (202)   ~ (all_52_4 = e3)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_54_12 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (186), (203) are inconsistent by sub-proof
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | |            #1466.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (204)   ~ (all_54_12 = e3)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_54_12 = e2
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (33), (206) are inconsistent by sub-proof
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1465.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)   ~ (all_54_12 = e2)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_54_12 = e1 | all_54_12 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_54_12 = e1
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (33), (209) are inconsistent by sub-proof
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1464.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_54_12 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (210) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_52_3 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (211) implies:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_52_3 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (212) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)   ~ (all_52_7 = e0)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (213) implies:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)   ~ (all_52_7 = e0)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (212) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)   ~ (e3 = e0)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (212) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)   ~ (e2 = e0)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (212) imply:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)   ~ (e1 = e0)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_54_13 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (187), (218) are inconsistent by sub-proof
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1445.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_54_13 = e2
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (34), (220) are inconsistent by sub-proof
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1444.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)   ~ (all_54_13 = e2)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_54_13 = e1 | all_54_13 = e0
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (21), (50), (202), (225) are
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1530.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (19), (51), (68), (69), (74), (173), (226)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1482.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (25), (54), (69), (197), (228) are
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1732.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (63), (70), (80), (229) are
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1443.
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1)
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13 & $i(all_57_13)))
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  op(e2, e0) = e2
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (38), (234) are inconsistent by
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & $i(all_57_4)))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (235) implies:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  op(e0, e2) = e0
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_54_13 = e1
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (238) imply:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_52_7 = e1
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (239) implies:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_52_7 = e1
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (240) imply:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)   ~ (all_52_6 = e1)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (165), (244) are inconsistent by
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1442.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (19), (21), (50), (68), (245) are
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1973.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  op(e3, e2) = e3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (25), (63), (237), (249) are inconsistent by
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1888.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)   ~ (all_57_5 = e0)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  op(e0, e2) = all_57_5
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (236), (251), (252) are inconsistent by
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1589.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19), (63), (70), (241), (253) are
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1782.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (21), (25), (43), (47), (48), (50),
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (54), (63), (64), (66), (70), (75), (78), (80),
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (81), (130), (148), (149), (164), (170), (182),
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (254) are inconsistent by sub-proof #1436.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_54_13 = e0
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (214), (255) are inconsistent by sub-proof
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1653.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (39), (47), (178), (199), (256) are
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1883.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (259) implies:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  op(e3, e3) = e3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15), (16), (18), (19), (48), (54), (63),
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (78), (79), (80), (81), (164), (170), (260)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1434.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (261) implies:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_54_13 = e1
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (263) imply:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_52_7 = e1
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (264) implies:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_52_7 = e1
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (265) imply:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)   ~ (all_52_6 = e1)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (165), (269) are inconsistent by
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1442.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (19), (21), (50), (68), (270) are
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1973.
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10))
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (273) implies:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  op(e3, e2) = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (25), (63), (262), (274) are inconsistent by
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1888.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_10)
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (275) implies:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  op(e3, e2) = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (25), (63), (262), (276) are inconsistent by
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1888.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19), (63), (70), (266), (277) are
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1782.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0)
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (21), (25), (43), (47), (48), (50),
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (54), (63), (64), (66), (70), (75), (78), (80),
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (81), (130), (148), (149), (164), (170), (182),
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (278) are inconsistent by sub-proof #1436.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_54_13 = e0
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (214), (279) are inconsistent by sub-proof
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1653.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (54), (75), (80), (280) are
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1433.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | |   (281)   ~ (all_54_3 = e3)
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (281) imply:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | |   (282)   ~ (all_52_12 = e3)
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (69), (173), (282) are inconsistent by
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1964.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | |   (283)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (66), (83), (178), (283) are inconsistent by
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | |            sub-proof #1736.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | |   (284)  all_54_6 = e0
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (22), (284) are inconsistent by sub-proof
% 197.27/34.24  | | | | | | | | | | | | | | | | | | |            #1452.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | |   (285)  all_56_10 = e3 & op(e2, e0) = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | ALPHA: (285) implies:
% 197.27/34.24  | | | | | | | | | | | | | | | | | |   (286)  all_56_10 = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (19), (54), (70), (80), (81), (153), (164),
% 197.27/34.24  | | | | | | | | | | | | | | | | | |            (286) are inconsistent by sub-proof #1431.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | |   (287)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 197.27/34.24  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 197.27/34.24  | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 197.27/34.24  | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | |   (288)  all_56_11 = e3 & op(e1, e0) = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 197.27/34.24  | | | | | | | | | | | | | | | | | |   (289)  all_56_11 = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (289) imply:
% 197.27/34.24  | | | | | | | | | | | | | | | | | |   (290)  e3 = e1
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (164), (290) imply:
% 197.27/34.24  | | | | | | | | | | | | | | | | | |   (291)  all_56_2 = e1
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (18), (19), (21), (30), (31), (48), (49),
% 197.27/34.24  | | | | | | | | | | | | | | | | | |            (50), (54), (58), (63), (64), (77), (80), (81),
% 197.27/34.24  | | | | | | | | | | | | | | | | | |            (153), (291) are inconsistent by sub-proof #1547.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | |   (292)  all_56_15 = e3 & op(e0, e0) = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | ALPHA: (292) implies:
% 197.27/34.24  | | | | | | | | | | | | | | | | | |   (293)  op(e0, e0) = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (75), (293) are inconsistent by
% 197.27/34.24  | | | | | | | | | | | | | | | | | |            sub-proof #1692.
% 197.27/34.24  | | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | |   (294)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 197.27/34.24  | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 197.27/34.24  | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 197.27/34.24  | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | Case 1:
% 197.27/34.24  | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | |   (295)  all_56_8 = e3 & op(e1, e1) = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 197.27/34.24  | | | | | | | | | | | | | | | |   (296)  op(e1, e1) = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (81), (296) are inconsistent by
% 197.27/34.24  | | | | | | | | | | | | | | | |            sub-proof #1824.
% 197.27/34.24  | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | |   (297)  all_56_11 = e3 & op(e1, e0) = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 197.27/34.24  | | | | | | | | | | | | | | | |   (298)  all_56_11 = e3
% 197.27/34.24  | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (298) imply:
% 197.27/34.24  | | | | | | | | | | | | | | | |   (299)  e3 = e1
% 197.27/34.24  | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | | REF_CLOSE: (12), (18), (19), (21), (30), (31), (48), (49),
% 197.27/34.24  | | | | | | | | | | | | | | | |            (50), (54), (58), (63), (64), (77), (80), (81),
% 197.27/34.24  | | | | | | | | | | | | | | | |            (153), (164), (299) are inconsistent by sub-proof
% 197.27/34.24  | | | | | | | | | | | | | | | |            #1430.
% 197.27/34.24  | | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | |   (300)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 197.27/34.24  | | | | | | | | | | | | |            e3 & op(e0, e3) = e3)
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | BETA: splitting (300) gives:
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | Case 1:
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | |   (301)  all_56_6 = e3 & op(e1, e3) = e3
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | ALPHA: (301) implies:
% 197.27/34.24  | | | | | | | | | | | | | |   (302)  all_56_6 = e3
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | REF_CLOSE: (6), (15), (16), (18), (19), (21), (38), (49),
% 197.27/34.24  | | | | | | | | | | | | | |            (50), (54), (63), (71), (77), (80), (81), (134),
% 197.27/34.24  | | | | | | | | | | | | | |            (135), (302) are inconsistent by sub-proof #1454.
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | |   (303)  all_56_12 = e3 & op(e0, e3) = e3
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | ALPHA: (303) implies:
% 197.27/34.24  | | | | | | | | | | | | | |   (304)  all_56_12 = e3
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | REF_CLOSE: (81), (159), (304) are inconsistent by sub-proof
% 197.27/34.24  | | | | | | | | | | | | | |            #1700.
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | |   (305)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 197.27/34.24  | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 197.27/34.24  | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | BETA: splitting (305) gives:
% 197.27/34.24  | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | Case 1:
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | |   (306)  all_56_13 = e0 & op(e0, e2) = e0
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | ALPHA: (306) implies:
% 197.27/34.24  | | | | | | | | | | | | |   (307)  all_56_13 = e0
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | BETA: splitting (141) gives:
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | Case 1:
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | |   (308)  all_54_6 = e1
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | COMBINE_EQS: (11), (308) imply:
% 197.27/34.24  | | | | | | | | | | | | | |   (309)  all_52_9 = e1
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | SIMP: (309) implies:
% 197.27/34.24  | | | | | | | | | | | | | |   (310)  all_52_9 = e1
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | REDUCE: (84), (310) imply:
% 197.27/34.24  | | | | | | | | | | | | | |   (311)   ~ (all_52_11 = e1)
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | SIMP: (311) implies:
% 197.27/34.24  | | | | | | | | | | | | | |   (312)   ~ (all_52_11 = e1)
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | REDUCE: (134), (310) imply:
% 197.27/34.24  | | | | | | | | | | | | | |   (313)   ~ (e3 = e1)
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | REDUCE: (44), (310) imply:
% 197.27/34.24  | | | | | | | | | | | | | |   (314)   ~ (e2 = e1)
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | REF_CLOSE: (3), (18), (19), (30), (31), (35), (37), (47),
% 197.27/34.24  | | | | | | | | | | | | | |            (48), (54), (58), (63), (75), (77), (80), (81),
% 197.27/34.24  | | | | | | | | | | | | | |            (153), (307), (312) are inconsistent by sub-proof
% 197.27/34.24  | | | | | | | | | | | | | |            #1429.
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | |   (315)  all_54_6 = e0
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | | REF_CLOSE: (11), (22), (315) are inconsistent by sub-proof
% 197.27/34.24  | | | | | | | | | | | | | |            #1452.
% 197.27/34.24  | | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | |   (316)  all_56_14 = e0 & op(e0, e1) = e0
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | ALPHA: (316) implies:
% 197.27/34.24  | | | | | | | | | | | | |   (317)  op(e0, e1) = e0
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | | REF_CLOSE: (19), (47), (66), (317) are inconsistent by
% 197.27/34.24  | | | | | | | | | | | | |            sub-proof #1931.
% 197.27/34.24  | | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | |   (318)  all_56_10 = e1 & op(e2, e0) = e1
% 197.27/34.24  | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | | REF_CLOSE: (54), (130), (318) are inconsistent by sub-proof
% 197.27/34.24  | | | | | | | | | |            #1448.
% 197.27/34.24  | | | | | | | | | | 
% 197.27/34.24  | | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | | 
% 197.27/34.24  | | | | | | | | End of split
% 197.27/34.24  | | | | | | | | 
% 197.27/34.24  | | | | | | | Case 2:
% 197.27/34.24  | | | | | | | | 
% 197.27/34.24  | | | | | | | |   (319)  all_56_15 = e1 & op(e0, e0) = e1
% 197.27/34.24  | | | | | | | | 
% 197.27/34.24  | | | | | | | | ALPHA: (319) implies:
% 197.27/34.24  | | | | | | | |   (320)  op(e0, e0) = e1
% 197.27/34.24  | | | | | | | | 
% 197.27/34.24  | | | | | | | | REF_CLOSE: (19), (63), (75), (320) are inconsistent by sub-proof
% 197.27/34.24  | | | | | | | |            #1780.
% 197.27/34.24  | | | | | | | | 
% 197.27/34.24  | | | | | | | End of split
% 197.27/34.24  | | | | | | | 
% 197.27/34.24  | | | | | | End of split
% 197.27/34.24  | | | | | | 
% 197.27/34.24  | | | | | End of split
% 197.27/34.24  | | | | | 
% 197.27/34.24  | | | | End of split
% 197.27/34.24  | | | | 
% 197.27/34.24  | | | Case 2:
% 197.27/34.24  | | | | 
% 197.27/34.24  | | | |   (321)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.27/34.24  | | | | 
% 197.27/34.24  | | | | REF_CLOSE: (24), (29), (46), (73), (321) are inconsistent by sub-proof
% 197.27/34.24  | | | |            #1449.
% 197.27/34.24  | | | | 
% 197.27/34.24  | | | End of split
% 197.27/34.24  | | | 
% 197.27/34.24  | | End of split
% 197.27/34.24  | | 
% 197.27/34.24  | End of split
% 197.27/34.24  | 
% 197.27/34.24  End of proof
% 197.27/34.24  
% 197.27/34.24  Sub-proof #1429 shows that the following formulas are inconsistent:
% 197.27/34.24  ----------------------------------------------------------------
% 197.27/34.24    (1)   ~ (all_52_3 = e1)
% 197.27/34.24    (2)   ~ (all_52_11 = e1)
% 197.27/34.24    (3)   ~ (e3 = e2)
% 197.27/34.24    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.24    (5)  all_56_13 = e0
% 197.27/34.24    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.24         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.24    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.24         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.24    (8)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.27/34.24         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.24    (9)  op(e0, e3) = all_52_3
% 197.27/34.24    (10)  op(e0, e1) = all_52_11
% 197.27/34.24    (11)  op(e1, e1) = e0
% 197.27/34.24    (12)  all_56_5 = e1
% 197.27/34.24    (13)   ~ (e1 = e0)
% 197.27/34.24    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.24          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.24    (15)   ~ (e2 = e1)
% 197.27/34.24    (16)  op(e0, e0) = e2
% 197.27/34.24    (17)   ~ (e3 = e1)
% 197.27/34.24    (18)   ~ (e2 = e0)
% 197.27/34.24    (19)   ~ (e3 = e0)
% 197.27/34.24  
% 197.27/34.24  Begin of proof
% 197.27/34.24  | 
% 197.27/34.24  | BETA: splitting (8) gives:
% 197.27/34.24  | 
% 197.27/34.24  | Case 1:
% 197.27/34.24  | | 
% 197.27/34.24  | |   (20)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.27/34.24  | |           e1)
% 197.27/34.24  | | 
% 197.27/34.24  | | BETA: splitting (20) gives:
% 197.27/34.24  | | 
% 197.27/34.24  | | Case 1:
% 197.27/34.24  | | | 
% 197.27/34.24  | | |   (21)  all_56_12 = e1 & op(e0, e3) = e1
% 197.27/34.24  | | | 
% 197.27/34.24  | | | ALPHA: (21) implies:
% 197.27/34.24  | | |   (22)  op(e0, e3) = e1
% 197.27/34.24  | | | 
% 197.27/34.24  | | | REF_CLOSE: (1), (4), (9), (22) are inconsistent by sub-proof #1950.
% 197.27/34.24  | | | 
% 197.27/34.24  | | Case 2:
% 197.27/34.24  | | | 
% 197.27/34.24  | | |   (23)  all_56_13 = e1 & op(e0, e2) = e1
% 197.27/34.24  | | | 
% 197.27/34.24  | | | ALPHA: (23) implies:
% 197.27/34.24  | | |   (24)  all_56_13 = e1
% 197.27/34.24  | | | 
% 197.27/34.24  | | | COMBINE_EQS: (5), (24) imply:
% 197.27/34.24  | | |   (25)  e1 = e0
% 197.27/34.24  | | | 
% 197.27/34.24  | | | COMBINE_EQS: (12), (25) imply:
% 197.27/34.24  | | |   (26)  all_56_5 = e0
% 197.27/34.24  | | | 
% 197.27/34.24  | | | REF_CLOSE: (3), (4), (6), (7), (11), (13), (14), (15), (17), (18), (19),
% 197.27/34.24  | | |            (26) are inconsistent by sub-proof #1551.
% 197.27/34.24  | | | 
% 197.27/34.24  | | End of split
% 197.27/34.24  | | 
% 197.27/34.24  | Case 2:
% 197.27/34.24  | | 
% 197.27/34.24  | |   (27)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.27/34.24  | |           e1)
% 197.27/34.24  | | 
% 197.27/34.24  | | BETA: splitting (27) gives:
% 197.27/34.24  | | 
% 197.27/34.24  | | Case 1:
% 197.27/34.24  | | | 
% 197.27/34.24  | | |   (28)  all_56_14 = e1 & op(e0, e1) = e1
% 197.27/34.24  | | | 
% 197.27/34.24  | | | ALPHA: (28) implies:
% 197.27/34.24  | | |   (29)  op(e0, e1) = e1
% 197.27/34.24  | | | 
% 197.27/34.24  | | | REF_CLOSE: (2), (4), (10), (29) are inconsistent by sub-proof #1885.
% 197.27/34.24  | | | 
% 197.27/34.24  | | Case 2:
% 197.27/34.24  | | | 
% 197.27/34.24  | | |   (30)  all_56_15 = e1 & op(e0, e0) = e1
% 197.27/34.24  | | | 
% 197.27/34.24  | | | ALPHA: (30) implies:
% 197.27/34.24  | | |   (31)  op(e0, e0) = e1
% 197.27/34.24  | | | 
% 197.27/34.24  | | | REF_CLOSE: (4), (15), (16), (31) are inconsistent by sub-proof #1780.
% 197.27/34.24  | | | 
% 197.27/34.24  | | End of split
% 197.27/34.24  | | 
% 197.27/34.24  | End of split
% 197.27/34.24  | 
% 197.27/34.24  End of proof
% 197.27/34.24  
% 197.27/34.24  Sub-proof #1430 shows that the following formulas are inconsistent:
% 197.27/34.24  ----------------------------------------------------------------
% 197.27/34.24    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.27/34.24         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.27/34.24    (2)   ~ (e3 = e2)
% 197.27/34.24    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.24    (4)  op(e2, e2) = all_4_2
% 197.27/34.24    (5)  e3 = e1
% 197.27/34.24    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.24         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.24    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.24         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.24    (8)  op(e1, e1) = e0
% 197.27/34.24    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.24         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.24    (10)   ~ (all_4_2 = e3)
% 197.27/34.24    (11)  all_56_5 = e1
% 197.27/34.24    (12)  all_56_2 = e3
% 197.27/34.24    (13)   ~ (e1 = e0)
% 197.27/34.24    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.24          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.24    (15)   ~ (e2 = e1)
% 197.27/34.24    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.24          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.24    (17)   ~ (e3 = e1)
% 197.27/34.24    (18)   ~ (e2 = e0)
% 197.27/34.24    (19)   ~ (e3 = e0)
% 197.27/34.24  
% 197.27/34.24  Begin of proof
% 197.27/34.24  | 
% 197.27/34.24  | SIMP: (5) implies:
% 197.27/34.24  |   (20)  e3 = e1
% 197.27/34.24  | 
% 197.27/34.24  | COMBINE_EQS: (12), (20) imply:
% 197.27/34.24  |   (21)  all_56_2 = e1
% 197.27/34.24  | 
% 197.27/34.24  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (14),
% 197.27/34.24  |            (15), (16), (17), (18), (19), (21) are inconsistent by sub-proof
% 197.27/34.24  |            #1547.
% 197.27/34.24  | 
% 197.27/34.24  End of proof
% 197.27/34.24  
% 197.27/34.24  Sub-proof #1431 shows that the following formulas are inconsistent:
% 197.27/34.24  ----------------------------------------------------------------
% 197.27/34.24    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.27/34.24         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.27/34.24    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.24    (3)  all_56_10 = e3
% 197.27/34.24    (4)  all_56_5 = e1
% 197.27/34.24    (5)  all_56_2 = e3
% 197.27/34.24    (6)   ~ (e1 = e0)
% 197.27/34.24    (7)  op(e2, e2) = e2
% 197.27/34.24    (8)   ~ (e2 = e0)
% 197.27/34.24    (9)   ~ (e3 = e0)
% 197.27/34.24  
% 197.27/34.24  Begin of proof
% 197.27/34.24  | 
% 197.27/34.24  | BETA: splitting (1) gives:
% 197.27/34.24  | 
% 197.27/34.24  | Case 1:
% 197.27/34.24  | | 
% 197.27/34.24  | |   (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 197.27/34.24  | |           e0)
% 197.27/34.24  | | 
% 197.27/34.24  | | BETA: splitting (10) gives:
% 197.27/34.24  | | 
% 197.27/34.24  | | Case 1:
% 197.27/34.24  | | | 
% 197.27/34.24  | | |   (11)  all_56_2 = e0 & op(e2, e3) = e0
% 197.27/34.24  | | | 
% 197.27/34.24  | | | ALPHA: (11) implies:
% 197.27/34.24  | | |   (12)  all_56_2 = e0
% 197.27/34.24  | | | 
% 197.27/34.24  | | | REF_CLOSE: (5), (9), (12) are inconsistent by sub-proof #1711.
% 197.27/34.24  | | | 
% 197.27/34.24  | | Case 2:
% 197.27/34.24  | | | 
% 197.27/34.24  | | |   (13)  all_56_3 = e0 & op(e2, e2) = e0
% 197.27/34.24  | | | 
% 197.27/34.24  | | | ALPHA: (13) implies:
% 197.27/34.24  | | |   (14)  op(e2, e2) = e0
% 197.27/34.24  | | | 
% 197.27/34.24  | | | REF_CLOSE: (2), (7), (8), (14) are inconsistent by sub-proof #1939.
% 197.27/34.24  | | | 
% 197.27/34.24  | | End of split
% 197.27/34.24  | | 
% 197.27/34.24  | Case 2:
% 197.27/34.24  | | 
% 197.27/34.24  | |   (15)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 197.27/34.24  | |           e0)
% 197.27/34.24  | | 
% 197.27/34.24  | | BETA: splitting (15) gives:
% 197.27/34.24  | | 
% 197.27/34.24  | | Case 1:
% 197.27/34.24  | | | 
% 197.27/34.24  | | |   (16)  all_56_5 = e0 & op(e2, e1) = e0
% 197.27/34.25  | | | 
% 197.27/34.25  | | | ALPHA: (16) implies:
% 197.27/34.25  | | |   (17)  all_56_5 = e0
% 197.27/34.25  | | | 
% 197.27/34.25  | | | REF_CLOSE: (4), (6), (17) are inconsistent by sub-proof #1842.
% 197.27/34.25  | | | 
% 197.27/34.25  | | Case 2:
% 197.27/34.25  | | | 
% 197.27/34.25  | | |   (18)  all_56_10 = e0 & op(e2, e0) = e0
% 197.27/34.25  | | | 
% 197.27/34.25  | | | ALPHA: (18) implies:
% 197.27/34.25  | | |   (19)  all_56_10 = e0
% 197.27/34.25  | | | 
% 197.27/34.25  | | | REF_CLOSE: (3), (9), (19) are inconsistent by sub-proof #1432.
% 197.27/34.25  | | | 
% 197.27/34.25  | | End of split
% 197.27/34.25  | | 
% 197.27/34.25  | End of split
% 197.27/34.25  | 
% 197.27/34.25  End of proof
% 197.27/34.25  
% 197.27/34.25  Sub-proof #1432 shows that the following formulas are inconsistent:
% 197.27/34.25  ----------------------------------------------------------------
% 197.27/34.25    (1)  all_56_10 = e3
% 197.27/34.25    (2)  all_56_10 = e0
% 197.27/34.25    (3)   ~ (e3 = e0)
% 197.27/34.25  
% 197.27/34.25  Begin of proof
% 197.27/34.25  | 
% 197.27/34.25  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.25  |   (4)  e3 = e0
% 197.27/34.25  | 
% 197.27/34.25  | SIMP: (4) implies:
% 197.27/34.25  |   (5)  e3 = e0
% 197.27/34.25  | 
% 197.27/34.25  | REDUCE: (3), (5) imply:
% 197.27/34.25  |   (6)  $false
% 197.27/34.25  | 
% 197.27/34.25  | CLOSE: (6) is inconsistent.
% 197.27/34.25  | 
% 197.27/34.25  End of proof
% 197.27/34.25  
% 197.27/34.25  Sub-proof #1433 shows that the following formulas are inconsistent:
% 197.27/34.25  ----------------------------------------------------------------
% 197.27/34.25    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.27/34.25             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.25           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.27/34.25               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.27/34.25             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.25         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.27/34.25             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.25           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.27/34.25               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.27/34.25             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.25    (3)  op(e1, e1) = e0
% 197.27/34.25    (4)   ~ (e1 = e0)
% 197.27/34.25    (5)  op(e0, e0) = e2
% 197.27/34.25    (6)   ~ (e2 = e0)
% 197.27/34.25  
% 197.27/34.25  Begin of proof
% 197.27/34.25  | 
% 197.27/34.25  | BETA: splitting (1) gives:
% 197.27/34.25  | 
% 197.27/34.25  | Case 1:
% 197.27/34.25  | | 
% 197.27/34.25  | |   (7)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 197.27/34.25  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.25  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.25  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.27/34.25  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.25  | |              e1) = all_57_8 & $i(all_57_8)))
% 197.27/34.25  | | 
% 197.27/34.25  | | ALPHA: (7) implies:
% 197.27/34.25  | |   (8)  op(e1, e1) = e1
% 197.27/34.25  | | 
% 197.27/34.25  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1959.
% 197.27/34.25  | | 
% 197.27/34.25  | Case 2:
% 197.27/34.25  | | 
% 197.27/34.25  | |   (9)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 197.27/34.25  | |            e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.25  | |            $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.25  | |            (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 197.27/34.25  | |        ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.25  | |              e0) = all_57_13 & $i(all_57_13)))
% 197.27/34.25  | | 
% 197.27/34.25  | | ALPHA: (9) implies:
% 197.27/34.25  | |   (10)  op(e0, e0) = e0
% 197.27/34.25  | | 
% 197.27/34.25  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1945.
% 197.27/34.25  | | 
% 197.27/34.25  | End of split
% 197.27/34.25  | 
% 197.27/34.25  End of proof
% 197.27/34.25  
% 197.27/34.25  Sub-proof #1434 shows that the following formulas are inconsistent:
% 197.27/34.25  ----------------------------------------------------------------
% 197.27/34.25    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.25         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.25    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.25         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.25    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.25         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.25    (4)   ~ (e3 = e2)
% 197.27/34.25    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.25    (6)  op(e3, e3) = e3
% 197.27/34.25    (7)  all_56_7 = e3
% 197.27/34.25    (8)  op(e1, e1) = e0
% 197.27/34.25    (9)  all_56_2 = e3
% 197.27/34.25    (10)   ~ (e1 = e0)
% 197.27/34.25    (11)   ~ (e2 = e1)
% 197.27/34.25    (12)   ~ (e3 = e1)
% 197.27/34.25    (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.25          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.25    (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.25          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.25    (15)   ~ (e2 = e0)
% 197.27/34.25    (16)   ~ (e3 = e0)
% 197.27/34.25  
% 197.27/34.25  Begin of proof
% 197.27/34.25  | 
% 197.27/34.25  | BETA: splitting (2) gives:
% 197.27/34.25  | 
% 197.27/34.25  | Case 1:
% 197.27/34.25  | | 
% 197.27/34.25  | |   (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 197.27/34.25  | |           e0)
% 197.27/34.25  | | 
% 197.27/34.25  | | REF_CLOSE: (5), (6), (9), (16), (17) are inconsistent by sub-proof #1728.
% 197.27/34.25  | | 
% 197.27/34.25  | Case 2:
% 197.27/34.25  | | 
% 197.27/34.25  | |   (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 197.27/34.25  | |           e0)
% 197.27/34.25  | | 
% 197.27/34.25  | | BETA: splitting (18) gives:
% 197.27/34.25  | | 
% 197.27/34.25  | | Case 1:
% 197.27/34.25  | | | 
% 197.27/34.25  | | |   (19)  all_56_6 = e0 & op(e1, e3) = e0
% 197.27/34.25  | | | 
% 197.27/34.25  | | | ALPHA: (19) implies:
% 197.27/34.25  | | |   (20)  all_56_6 = e0
% 197.27/34.25  | | | 
% 197.27/34.25  | | | BETA: splitting (1) gives:
% 197.27/34.25  | | | 
% 197.27/34.25  | | | Case 1:
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | |   (21)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 197.27/34.25  | | | |           = e2)
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | REF_CLOSE: (4), (5), (6), (9), (21) are inconsistent by sub-proof #1727.
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | Case 2:
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | |   (22)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3)
% 197.27/34.25  | | | |           = e2)
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | BETA: splitting (22) gives:
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | Case 1:
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | |   (23)  all_56_6 = e2 & op(e1, e3) = e2
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | | ALPHA: (23) implies:
% 197.27/34.25  | | | | |   (24)  all_56_6 = e2
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | | REF_CLOSE: (15), (20), (24) are inconsistent by sub-proof #1849.
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | Case 2:
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | |   (25)  all_56_12 = e2 & op(e0, e3) = e2
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | | ALPHA: (25) implies:
% 197.27/34.25  | | | | |   (26)  all_56_12 = e2
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | | BETA: splitting (3) gives:
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | | Case 1:
% 197.27/34.25  | | | | | | 
% 197.27/34.25  | | | | | |   (27)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2,
% 197.27/34.25  | | | | | |             e3) = e1)
% 197.27/34.25  | | | | | | 
% 197.27/34.25  | | | | | | BETA: splitting (27) gives:
% 197.27/34.25  | | | | | | 
% 197.27/34.25  | | | | | | Case 1:
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | |   (28)  all_56_0 = e1 & op(e3, e3) = e1
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | | ALPHA: (28) implies:
% 197.27/34.25  | | | | | | |   (29)  op(e3, e3) = e1
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | | REF_CLOSE: (5), (6), (12), (29) are inconsistent by sub-proof
% 197.27/34.25  | | | | | | |            #1966.
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | Case 2:
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | |   (30)  all_56_2 = e1 & op(e2, e3) = e1
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | | ALPHA: (30) implies:
% 197.27/34.25  | | | | | | |   (31)  all_56_2 = e1
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | | COMBINE_EQS: (9), (31) imply:
% 197.27/34.25  | | | | | | |   (32)  e3 = e1
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | | COMBINE_EQS: (7), (32) imply:
% 197.27/34.25  | | | | | | |   (33)  all_56_7 = e1
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | | REF_CLOSE: (4), (5), (8), (11), (12), (13), (14), (15), (16),
% 197.27/34.25  | | | | | | |            (20), (33) are inconsistent by sub-proof #1579.
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | End of split
% 197.27/34.25  | | | | | | 
% 197.27/34.25  | | | | | Case 2:
% 197.27/34.25  | | | | | | 
% 197.27/34.25  | | | | | |   (34)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0,
% 197.27/34.25  | | | | | |             e3) = e1)
% 197.27/34.25  | | | | | | 
% 197.27/34.25  | | | | | | BETA: splitting (34) gives:
% 197.27/34.25  | | | | | | 
% 197.27/34.25  | | | | | | Case 1:
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | |   (35)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | | ALPHA: (35) implies:
% 197.27/34.25  | | | | | | |   (36)  all_56_6 = e1
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | | REF_CLOSE: (10), (20), (36) are inconsistent by sub-proof #1565.
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | Case 2:
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | |   (37)  all_56_12 = e1 & op(e0, e3) = e1
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | | REF_CLOSE: (11), (26), (37) are inconsistent by sub-proof #1435.
% 197.27/34.25  | | | | | | | 
% 197.27/34.25  | | | | | | End of split
% 197.27/34.25  | | | | | | 
% 197.27/34.25  | | | | | End of split
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | End of split
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | End of split
% 197.27/34.25  | | | 
% 197.27/34.25  | | Case 2:
% 197.27/34.25  | | | 
% 197.27/34.25  | | |   (38)  all_56_12 = e0 & op(e0, e3) = e0
% 197.27/34.25  | | | 
% 197.27/34.25  | | | ALPHA: (38) implies:
% 197.27/34.25  | | |   (39)  all_56_12 = e0
% 197.27/34.25  | | | 
% 197.27/34.25  | | | REF_CLOSE: (1), (3), (4), (5), (6), (9), (10), (11), (12), (15), (39) are
% 197.27/34.25  | | |            inconsistent by sub-proof #1721.
% 197.27/34.25  | | | 
% 197.27/34.25  | | End of split
% 197.27/34.25  | | 
% 197.27/34.25  | End of split
% 197.27/34.25  | 
% 197.27/34.25  End of proof
% 197.27/34.25  
% 197.27/34.25  Sub-proof #1435 shows that the following formulas are inconsistent:
% 197.27/34.25  ----------------------------------------------------------------
% 197.27/34.25    (1)  all_56_12 = e1 & op(e0, e3) = e1
% 197.27/34.25    (2)  all_56_12 = e2
% 197.27/34.25    (3)   ~ (e2 = e1)
% 197.27/34.25  
% 197.27/34.25  Begin of proof
% 197.27/34.25  | 
% 197.27/34.25  | ALPHA: (1) implies:
% 197.27/34.25  |   (4)  all_56_12 = e1
% 197.27/34.25  | 
% 197.27/34.25  | COMBINE_EQS: (2), (4) imply:
% 197.27/34.25  |   (5)  e2 = e1
% 197.27/34.25  | 
% 197.27/34.25  | REDUCE: (3), (5) imply:
% 197.27/34.25  |   (6)  $false
% 197.27/34.25  | 
% 197.27/34.25  | CLOSE: (6) is inconsistent.
% 197.27/34.25  | 
% 197.27/34.25  End of proof
% 197.27/34.25  
% 197.27/34.25  Sub-proof #1436 shows that the following formulas are inconsistent:
% 197.27/34.25  ----------------------------------------------------------------
% 197.27/34.25    (1)  all_56_11 = e1
% 197.27/34.25    (2)   ~ (e3 = e2)
% 197.27/34.25    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.25    (4)  op(e2, e1) = e1
% 197.27/34.25    (5)  op(e2, e2) = all_4_2
% 197.27/34.25    (6)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.27/34.25             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.25           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 197.27/34.25           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.27/34.25           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.27/34.25           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.27/34.25           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 197.27/34.25           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 197.27/34.25           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 197.27/34.25           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.25           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.25           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.27/34.25           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 197.27/34.25           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.25           $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~
% 197.27/34.25           (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.25           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.25           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.27/34.25           &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.25           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.25           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0)
% 197.27/34.25           &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.27/34.25           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.25           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 197.27/34.25           &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.25           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.25           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 197.27/34.25               e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.25               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.25               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.25                 e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.25               e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.27/34.25               e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.27/34.25               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 197.27/34.25               = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 197.27/34.25               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.27/34.25               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 197.27/34.25                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.27/34.25               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.27/34.25               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 197.27/34.25                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.25               $i(all_57_7))))
% 197.27/34.25    (7)  op(e3, e3) = e1
% 197.27/34.25    (8)  all_56_6 = e2
% 197.27/34.25    (9)  op(e0, e1) = all_52_11
% 197.27/34.25    (10)  all_56_7 = e3
% 197.27/34.25    (11)  op(e1, e1) = e0
% 197.27/34.25    (12)   ~ (all_4_2 = e3)
% 197.27/34.25    (13)  all_56_2 = e3
% 197.27/34.25    (14)  all_56_10 = e0
% 197.27/34.25    (15)   ~ (e1 = e0)
% 197.27/34.25    (16)   ~ (e2 = e1)
% 197.27/34.25    (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.25          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.25    (18)  op(e1, e0) = e1
% 197.27/34.25    (19)   ~ (all_52_11 = e0)
% 197.27/34.25    (20)  op(e2, e2) = e2
% 197.27/34.25    (21)  op(e0, e0) = e2
% 197.27/34.25    (22)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.25          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.25    (23)   ~ (e2 = e0)
% 197.27/34.25    (24)   ~ (e3 = e0)
% 197.27/34.25  
% 197.27/34.25  Begin of proof
% 197.27/34.25  | 
% 197.27/34.25  | BETA: splitting (6) gives:
% 197.27/34.25  | 
% 197.27/34.25  | Case 1:
% 197.27/34.25  | | 
% 197.27/34.25  | |   (25)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 197.27/34.25  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.25  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 197.27/34.25  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 197.27/34.25  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.27/34.25  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 197.27/34.25  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 197.27/34.25  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.27/34.25  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.27/34.25  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.25  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.25  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.25  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 197.27/34.25  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 197.27/34.25  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.25  | |           $i(all_57_13))
% 197.27/34.25  | | 
% 197.27/34.25  | | BETA: splitting (25) gives:
% 197.27/34.25  | | 
% 197.27/34.25  | | Case 1:
% 197.27/34.25  | | | 
% 197.27/34.25  | | |   (26)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.25  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.25  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.25  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 197.27/34.25  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.27/34.25  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.25  | | |           $i(all_57_6) & $i(all_57_12))
% 197.27/34.25  | | | 
% 197.27/34.25  | | | BETA: splitting (26) gives:
% 197.27/34.25  | | | 
% 197.27/34.25  | | | Case 1:
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | |   (27)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.25  | | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.25  | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.25  | | | |         $i(all_57_10)
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | ALPHA: (27) implies:
% 197.27/34.25  | | | |   (28)  op(e0, e0) = e1
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | REF_CLOSE: (3), (16), (21), (28) are inconsistent by sub-proof #1780.
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | Case 2:
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | |   (29)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.27/34.25  | | | |         (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.25  | | | |         op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.25  | | | |         $i(all_57_12)
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | ALPHA: (29) implies:
% 197.27/34.25  | | | |   (30)  op(e2, e1) = e2
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | REF_CLOSE: (3), (4), (16), (30) are inconsistent by sub-proof #1441.
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | End of split
% 197.27/34.25  | | | 
% 197.27/34.25  | | Case 2:
% 197.27/34.25  | | | 
% 197.27/34.25  | | |   (31)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.25  | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.25  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.25  | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10
% 197.27/34.25  | | |             = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.27/34.25  | | |             e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.25  | | |           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.27/34.25  | | |           &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.27/34.25  | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.27/34.25  | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.25  | | | 
% 197.27/34.25  | | | BETA: splitting (31) gives:
% 197.27/34.25  | | | 
% 197.27/34.25  | | | Case 1:
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | |   (32)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.25  | | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.25  | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.25  | | | |         $i(all_57_12)
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | ALPHA: (32) implies:
% 197.27/34.25  | | | |   (33)  op(e0, e0) = e1
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | REF_CLOSE: (3), (16), (21), (33) are inconsistent by sub-proof #1780.
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | Case 2:
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | |   (34)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.25  | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.25  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.25  | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.27/34.25  | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.27/34.25  | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.27/34.25  | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | BETA: splitting (34) gives:
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | | Case 1:
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | |   (35)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.25  | | | | |         (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.25  | | | | |         op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.25  | | | | |         $i(all_57_11)
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | | ALPHA: (35) implies:
% 197.27/34.25  | | | | |   (36)  op(e2, e2) = e0
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | | REF_CLOSE: (1), (2), (3), (4), (8), (10), (11), (13), (14), (16),
% 197.27/34.25  | | | | |            (17), (22), (23), (36) are inconsistent by sub-proof #1438.
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | Case 2:
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | |   (37)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.25  | | | | |         (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.25  | | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.25  | | | | |         $i(all_57_13)
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | | ALPHA: (37) implies:
% 197.27/34.25  | | | | |   (38)   ~ (all_57_13 = e1)
% 197.27/34.25  | | | | |   (39)  op(e1, e0) = all_57_13
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | | REF_CLOSE: (3), (18), (38), (39) are inconsistent by sub-proof #1437.
% 197.27/34.25  | | | | | 
% 197.27/34.25  | | | | End of split
% 197.27/34.25  | | | | 
% 197.27/34.25  | | | End of split
% 197.27/34.25  | | | 
% 197.27/34.25  | | End of split
% 197.27/34.25  | | 
% 197.27/34.25  | Case 2:
% 197.27/34.25  | | 
% 197.27/34.25  | |   (40)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.25  | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.25  | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.25  | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 197.27/34.25  | |             e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.25  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 197.27/34.25  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 197.27/34.25  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 197.27/34.25  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.25  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 197.27/34.25  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.27/34.25  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 197.27/34.25  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 197.27/34.25  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.25  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 197.27/34.25  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.27/34.25  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.27/34.25  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.25  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.27/34.25  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.25  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.27/34.25  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 197.27/34.25  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.27/34.25  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.27/34.25  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.27/34.25  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.27/34.25  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.25  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.25  | |               $i(all_57_7))))
% 197.27/34.25  | | 
% 197.27/34.25  | | BETA: splitting (40) gives:
% 197.27/34.25  | | 
% 197.27/34.25  | | Case 1:
% 197.27/34.25  | | | 
% 197.27/34.25  | | |   (41)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.25  | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.25  | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.25  | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.27/34.25  | | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.25  | | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.27/34.25  | | |           $i(all_57_9) & $i(all_57_14))
% 197.27/34.25  | | | 
% 197.27/34.25  | | | REF_CLOSE: (3), (7), (15), (41) are inconsistent by sub-proof #1936.
% 197.27/34.25  | | | 
% 197.27/34.25  | | Case 2:
% 197.27/34.25  | | | 
% 197.27/34.25  | | |   (42)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.27/34.25  | | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.27/34.25  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.25  | | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 197.27/34.25  | | |           (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.27/34.25  | | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 197.27/34.25  | | |           e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 197.27/34.25  | | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 197.27/34.25  | | |                 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.27/34.25  | | |               op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 197.27/34.25  | | |             (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.25  | | |               (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.25  | | |               op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.27/34.25  | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3)
% 197.27/34.25  | | |               = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.27/34.25  | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 197.27/34.25  | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.27/34.25  | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4))
% 197.27/34.25  | | |             | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.27/34.25  | | |               (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.25  | | |               op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.27/34.25  | | |               = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2)
% 197.27/34.25  | | |               = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.25  | | |               $i(all_57_7))))
% 197.27/34.25  | | | 
% 197.27/34.26  | | | BETA: splitting (42) gives:
% 197.27/34.26  | | | 
% 197.27/34.26  | | | Case 1:
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | |   (43)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.27/34.26  | | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.27/34.26  | | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.26  | | | |         $i(all_57_13)
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | | ALPHA: (43) implies:
% 197.27/34.26  | | | |   (44)   ~ (all_57_13 = e1)
% 197.27/34.26  | | | |   (45)  op(e1, e0) = all_57_13
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | | REF_CLOSE: (3), (18), (44), (45) are inconsistent by sub-proof #1437.
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | Case 2:
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | |   (46)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.27/34.26  | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.26  | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.26  | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.26  | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.27/34.26  | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 197.27/34.26  | | | |               & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.27/34.26  | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3)
% 197.27/34.26  | | | |               & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 197.27/34.26  | | | |               e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.26  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.27/34.26  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.26  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.26  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 197.27/34.26  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.26  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 197.27/34.26  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 197.27/34.26  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.27/34.26  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.27/34.26  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | | REF_CLOSE: (3), (5), (7), (9), (11), (12), (16), (19), (20), (23), (24),
% 197.27/34.26  | | | |            (46) are inconsistent by sub-proof #1472.
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | End of split
% 197.27/34.26  | | | 
% 197.27/34.26  | | End of split
% 197.27/34.26  | | 
% 197.27/34.26  | End of split
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1437 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.26    (2)  op(e1, e0) = all_57_13
% 197.27/34.26    (3)  op(e1, e0) = e1
% 197.27/34.26    (4)   ~ (all_57_13 = e1)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | GROUND_INST: instantiating (1) with e1, all_57_13, e0, e1, simplifying with
% 197.27/34.26  |              (2), (3) gives:
% 197.27/34.26  |   (5)  all_57_13 = e1
% 197.27/34.26  | 
% 197.27/34.26  | REDUCE: (4), (5) imply:
% 197.27/34.26  |   (6)  $false
% 197.27/34.26  | 
% 197.27/34.26  | CLOSE: (6) is inconsistent.
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1438 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)  all_56_11 = e1
% 197.27/34.26    (2)   ~ (e3 = e2)
% 197.27/34.26    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.26    (4)  op(e2, e1) = e1
% 197.27/34.26    (5)  all_56_6 = e2
% 197.27/34.26    (6)  all_56_7 = e3
% 197.27/34.26    (7)  op(e1, e1) = e0
% 197.27/34.26    (8)  all_56_2 = e3
% 197.27/34.26    (9)  all_56_10 = e0
% 197.27/34.26    (10)   ~ (e2 = e1)
% 197.27/34.26    (11)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.26          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.26    (12)  op(e2, e2) = e0
% 197.27/34.26    (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.26          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.26    (14)   ~ (e2 = e0)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | BETA: splitting (11) gives:
% 197.27/34.26  | 
% 197.27/34.26  | Case 1:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.27/34.26  | |           e2)
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (2), (3), (8), (12), (14), (15) are inconsistent by sub-proof
% 197.27/34.26  | |            #1439.
% 197.27/34.26  | | 
% 197.27/34.26  | Case 2:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (16)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 197.27/34.26  | |           e2)
% 197.27/34.26  | | 
% 197.27/34.26  | | BETA: splitting (16) gives:
% 197.27/34.26  | | 
% 197.27/34.26  | | Case 1:
% 197.27/34.26  | | | 
% 197.27/34.26  | | |   (17)  all_56_5 = e2 & op(e2, e1) = e2
% 197.27/34.26  | | | 
% 197.27/34.26  | | | ALPHA: (17) implies:
% 197.27/34.26  | | |   (18)  op(e2, e1) = e2
% 197.27/34.26  | | | 
% 197.27/34.26  | | | REF_CLOSE: (3), (4), (10), (18) are inconsistent by sub-proof #1441.
% 197.27/34.26  | | | 
% 197.27/34.26  | | Case 2:
% 197.27/34.26  | | | 
% 197.27/34.26  | | |   (19)  all_56_10 = e2 & op(e2, e0) = e2
% 197.27/34.26  | | | 
% 197.27/34.26  | | | ALPHA: (19) implies:
% 197.27/34.26  | | |   (20)  all_56_10 = e2
% 197.27/34.26  | | | 
% 197.27/34.26  | | | COMBINE_EQS: (9), (20) imply:
% 197.27/34.26  | | |   (21)  e2 = e0
% 197.27/34.26  | | | 
% 197.27/34.26  | | | COMBINE_EQS: (5), (21) imply:
% 197.27/34.26  | | |   (22)  all_56_6 = e0
% 197.27/34.26  | | | 
% 197.27/34.26  | | | REF_CLOSE: (1), (2), (3), (6), (7), (10), (13), (14), (22) are
% 197.27/34.26  | | |            inconsistent by sub-proof #1576.
% 197.27/34.26  | | | 
% 197.27/34.26  | | End of split
% 197.27/34.26  | | 
% 197.27/34.26  | End of split
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1439 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)   ~ (e3 = e2)
% 197.27/34.26    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.26    (3)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 197.27/34.26    (4)  all_56_2 = e3
% 197.27/34.26    (5)  op(e2, e2) = e0
% 197.27/34.26    (6)   ~ (e2 = e0)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | BETA: splitting (3) gives:
% 197.27/34.26  | 
% 197.27/34.26  | Case 1:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (7)  all_56_2 = e2 & op(e2, e3) = e2
% 197.27/34.26  | | 
% 197.27/34.26  | | ALPHA: (7) implies:
% 197.27/34.26  | |   (8)  all_56_2 = e2
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #1440.
% 197.27/34.26  | | 
% 197.27/34.26  | Case 2:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 197.27/34.26  | | 
% 197.27/34.26  | | ALPHA: (9) implies:
% 197.27/34.26  | |   (10)  op(e2, e2) = e2
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1939.
% 197.27/34.26  | | 
% 197.27/34.26  | End of split
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1440 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)  all_56_2 = e3
% 197.27/34.26    (2)  all_56_2 = e2
% 197.27/34.26    (3)   ~ (e3 = e2)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.26  |   (4)  e3 = e2
% 197.27/34.26  | 
% 197.27/34.26  | SIMP: (4) implies:
% 197.27/34.26  |   (5)  e3 = e2
% 197.27/34.26  | 
% 197.27/34.26  | REDUCE: (3), (5) imply:
% 197.27/34.26  |   (6)  $false
% 197.27/34.26  | 
% 197.27/34.26  | CLOSE: (6) is inconsistent.
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1441 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.26    (2)  op(e2, e1) = e2
% 197.27/34.26    (3)  op(e2, e1) = e1
% 197.27/34.26    (4)   ~ (e2 = e1)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | GROUND_INST: instantiating (1) with e1, e2, e1, e2, simplifying with (2), (3)
% 197.27/34.26  |              gives:
% 197.27/34.26  |   (5)  e2 = e1
% 197.27/34.26  | 
% 197.27/34.26  | REDUCE: (4), (5) imply:
% 197.27/34.26  |   (6)  $false
% 197.27/34.26  | 
% 197.27/34.26  | CLOSE: (6) is inconsistent.
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1442 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.26             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.26           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.26           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.26           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.26           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.26    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.26    (3)  op(e2, e3) = e3
% 197.27/34.26    (4)   ~ (e3 = e2)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | BETA: splitting (1) gives:
% 197.27/34.26  | 
% 197.27/34.26  | Case 1:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (5)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.26  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.26  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 197.27/34.26  | | 
% 197.27/34.26  | | ALPHA: (5) implies:
% 197.27/34.26  | |   (6)  op(e2, e3) = e2
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #1869.
% 197.27/34.26  | | 
% 197.27/34.26  | Case 2:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (7)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 197.27/34.26  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.27/34.26  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 197.27/34.26  | | 
% 197.27/34.26  | | ALPHA: (7) implies:
% 197.27/34.26  | |   (8)  op(e2, e3) = e2
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1869.
% 197.27/34.26  | | 
% 197.27/34.26  | End of split
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1443 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.26    (2)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.27/34.26           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.27/34.26           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.27/34.26                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 197.27/34.26               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.27/34.26               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.27/34.26           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 197.27/34.26           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.26               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.26           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.27/34.26               = all_57_5 & $i(all_57_5))))
% 197.27/34.26    (3)  op(e1, e1) = e0
% 197.27/34.26    (4)   ~ (e2 = e1)
% 197.27/34.26    (5)  op(e2, e2) = e2
% 197.27/34.26    (6)   ~ (e2 = e0)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | BETA: splitting (2) gives:
% 197.27/34.26  | 
% 197.27/34.26  | Case 1:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.27/34.26  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.27/34.26  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.27/34.26  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 197.27/34.26  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.27/34.26  | |            & $i(all_57_8)))
% 197.27/34.26  | | 
% 197.27/34.26  | | ALPHA: (7) implies:
% 197.27/34.26  | |   (8)  op(e2, e2) = e1
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1783.
% 197.27/34.26  | | 
% 197.27/34.26  | Case 2:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.27/34.26  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.27/34.26  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 197.27/34.26  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.27/34.26  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.27/34.26  | |            & $i(all_57_5)))
% 197.27/34.26  | | 
% 197.27/34.26  | | ALPHA: (9) implies:
% 197.27/34.26  | |   (10)  op(e1, e1) = e2
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1821.
% 197.27/34.26  | | 
% 197.27/34.26  | End of split
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1444 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)  all_54_13 = all_52_7
% 197.27/34.26    (2)  all_54_13 = e2
% 197.27/34.26    (3)   ~ (all_52_7 = e2)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.26  |   (4)  all_52_7 = e2
% 197.27/34.26  | 
% 197.27/34.26  | SIMP: (4) implies:
% 197.27/34.26  |   (5)  all_52_7 = e2
% 197.27/34.26  | 
% 197.27/34.26  | REDUCE: (3), (5) imply:
% 197.27/34.26  |   (6)  $false
% 197.27/34.26  | 
% 197.27/34.26  | CLOSE: (6) is inconsistent.
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1445 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)  all_54_13 = all_52_7
% 197.27/34.26    (2)  all_54_13 = e3
% 197.27/34.26    (3)   ~ (all_52_7 = e3)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.26  |   (4)  all_52_7 = e3
% 197.27/34.26  | 
% 197.27/34.26  | SIMP: (4) implies:
% 197.27/34.26  |   (5)  all_52_7 = e3
% 197.27/34.26  | 
% 197.27/34.26  | REDUCE: (3), (5) imply:
% 197.27/34.26  |   (6)  $false
% 197.27/34.26  | 
% 197.27/34.26  | CLOSE: (6) is inconsistent.
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1446 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)  all_54_7 = all_52_13
% 197.27/34.26    (2)  all_54_7 = e1
% 197.27/34.26    (3)   ~ (all_52_13 = e1)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.26  |   (4)  all_52_13 = e1
% 197.27/34.26  | 
% 197.27/34.26  | SIMP: (4) implies:
% 197.27/34.26  |   (5)  all_52_13 = e1
% 197.27/34.26  | 
% 197.27/34.26  | REDUCE: (3), (5) imply:
% 197.27/34.26  |   (6)  $false
% 197.27/34.26  | 
% 197.27/34.26  | CLOSE: (6) is inconsistent.
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1447 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.26         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.26    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.26         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.26    (3)   ~ (e3 = e2)
% 197.27/34.26    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.26    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 197.27/34.26    (6)  op(e3, e3) = e1
% 197.27/34.26    (7)   ~ (e1 = e0)
% 197.27/34.26    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.27/34.26         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.27/34.26    (9)   ~ (e2 = e1)
% 197.27/34.26    (10)  op(e2, e2) = e2
% 197.27/34.26    (11)   ~ (e3 = e1)
% 197.27/34.26    (12)   ~ (e2 = e0)
% 197.27/34.26    (13)   ~ (e3 = e0)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | BETA: splitting (5) gives:
% 197.27/34.26  | 
% 197.27/34.26  | Case 1:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (14)  all_56_2 = e1 & op(e2, e3) = e1
% 197.27/34.26  | | 
% 197.27/34.26  | | ALPHA: (14) implies:
% 197.27/34.26  | |   (15)  all_56_2 = e1
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (13), (15)
% 197.27/34.26  | |            are inconsistent by sub-proof #1844.
% 197.27/34.26  | | 
% 197.27/34.26  | Case 2:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (16)  all_56_3 = e1 & op(e2, e2) = e1
% 197.27/34.26  | | 
% 197.27/34.26  | | ALPHA: (16) implies:
% 197.27/34.26  | |   (17)  op(e2, e2) = e1
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (4), (9), (10), (17) are inconsistent by sub-proof #1783.
% 197.27/34.26  | | 
% 197.27/34.26  | End of split
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1448 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)  all_56_10 = e1 & op(e2, e0) = e1
% 197.27/34.26    (2)  all_56_10 = e0
% 197.27/34.26    (3)   ~ (e1 = e0)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | ALPHA: (1) implies:
% 197.27/34.26  |   (4)  all_56_10 = e1
% 197.27/34.26  | 
% 197.27/34.26  | COMBINE_EQS: (2), (4) imply:
% 197.27/34.26  |   (5)  e1 = e0
% 197.27/34.26  | 
% 197.27/34.26  | REDUCE: (3), (5) imply:
% 197.27/34.26  |   (6)  $false
% 197.27/34.26  | 
% 197.27/34.26  | CLOSE: (6) is inconsistent.
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1449 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)   ~ (all_26_0 = e1)
% 197.27/34.26    (2)   ~ (all_26_0 = e0)
% 197.27/34.26    (3)  all_54_4 = all_26_0
% 197.27/34.26    (4)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.27/34.26    (5)   ~ (all_26_0 = e2)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | BETA: splitting (4) gives:
% 197.27/34.26  | 
% 197.27/34.26  | Case 1:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (6)  all_54_4 = e2
% 197.27/34.26  | | 
% 197.27/34.26  | | COMBINE_EQS: (3), (6) imply:
% 197.27/34.26  | |   (7)  all_26_0 = e2
% 197.27/34.26  | | 
% 197.27/34.26  | | SIMP: (7) implies:
% 197.27/34.26  | |   (8)  all_26_0 = e2
% 197.27/34.26  | | 
% 197.27/34.26  | | REDUCE: (5), (8) imply:
% 197.27/34.26  | |   (9)  $false
% 197.27/34.26  | | 
% 197.27/34.26  | | CLOSE: (9) is inconsistent.
% 197.27/34.26  | | 
% 197.27/34.26  | Case 2:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (10)  all_54_4 = e1 | all_54_4 = e0
% 197.27/34.26  | | 
% 197.27/34.26  | | BETA: splitting (10) gives:
% 197.27/34.26  | | 
% 197.27/34.26  | | Case 1:
% 197.27/34.26  | | | 
% 197.27/34.26  | | |   (11)  all_54_4 = e1
% 197.27/34.26  | | | 
% 197.27/34.26  | | | COMBINE_EQS: (3), (11) imply:
% 197.27/34.26  | | |   (12)  all_26_0 = e1
% 197.27/34.26  | | | 
% 197.27/34.26  | | | SIMP: (12) implies:
% 197.27/34.26  | | |   (13)  all_26_0 = e1
% 197.27/34.26  | | | 
% 197.27/34.26  | | | REDUCE: (1), (13) imply:
% 197.27/34.26  | | |   (14)  $false
% 197.27/34.26  | | | 
% 197.27/34.26  | | | CLOSE: (14) is inconsistent.
% 197.27/34.26  | | | 
% 197.27/34.26  | | Case 2:
% 197.27/34.26  | | | 
% 197.27/34.26  | | |   (15)  all_54_4 = e0
% 197.27/34.26  | | | 
% 197.27/34.26  | | | COMBINE_EQS: (3), (15) imply:
% 197.27/34.26  | | |   (16)  all_26_0 = e0
% 197.27/34.26  | | | 
% 197.27/34.26  | | | SIMP: (16) implies:
% 197.27/34.26  | | |   (17)  all_26_0 = e0
% 197.27/34.26  | | | 
% 197.27/34.26  | | | REDUCE: (2), (17) imply:
% 197.27/34.26  | | |   (18)  $false
% 197.27/34.26  | | | 
% 197.27/34.26  | | | CLOSE: (18) is inconsistent.
% 197.27/34.26  | | | 
% 197.27/34.26  | | End of split
% 197.27/34.26  | | 
% 197.27/34.26  | End of split
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1450 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)   ~ (all_52_3 = e1)
% 197.27/34.26    (2)  all_54_6 = all_52_9
% 197.27/34.26    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.26    (4)   ~ (all_52_9 = e0)
% 197.27/34.26    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.27/34.26         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.26    (6)  all_56_12 = e3
% 197.27/34.26    (7)  op(e0, e3) = all_52_3
% 197.27/34.26    (8)  op(e0, e3) = e0
% 197.27/34.26    (9)  op(e0, e1) = all_52_11
% 197.27/34.26    (10)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.27/34.26          | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.27/34.26    (11)   ~ (e1 = e0)
% 197.27/34.26    (12)   ~ (e2 = e1)
% 197.27/34.26    (13)  all_54_6 = e1 | all_54_6 = e0
% 197.27/34.26    (14)  op(e0, e0) = e2
% 197.27/34.26    (15)   ~ (e3 = e0)
% 197.27/34.26    (16)   ~ (all_52_3 = all_52_11)
% 197.27/34.26    (17)   ~ (all_52_9 = all_52_11)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | BETA: splitting (10) gives:
% 197.27/34.26  | 
% 197.27/34.26  | Case 1:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (18)  all_56_12 = e0 & op(e0, e3) = e0
% 197.27/34.26  | | 
% 197.27/34.26  | | ALPHA: (18) implies:
% 197.27/34.26  | |   (19)  all_56_12 = e0
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (6), (15), (19) are inconsistent by sub-proof #1700.
% 197.27/34.26  | | 
% 197.27/34.26  | Case 2:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (20)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.27/34.26  | |           e0)
% 197.27/34.26  | | 
% 197.27/34.26  | | BETA: splitting (20) gives:
% 197.27/34.26  | | 
% 197.27/34.26  | | Case 1:
% 197.27/34.26  | | | 
% 197.27/34.26  | | |   (21)  all_56_13 = e0 & op(e0, e2) = e0
% 197.27/34.26  | | | 
% 197.27/34.26  | | | ALPHA: (21) implies:
% 197.27/34.26  | | |   (22)  all_56_13 = e0
% 197.27/34.26  | | | 
% 197.27/34.26  | | | BETA: splitting (5) gives:
% 197.27/34.26  | | | 
% 197.27/34.26  | | | Case 1:
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | |   (23)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0,
% 197.27/34.26  | | | |             e2) = e1)
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | | REF_CLOSE: (1), (3), (7), (11), (22), (23) are inconsistent by sub-proof
% 197.27/34.26  | | | |            #1453.
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | Case 2:
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | |   (24)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 197.27/34.26  | | | |             e0) = e1)
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | | BETA: splitting (24) gives:
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | | Case 1:
% 197.27/34.26  | | | | | 
% 197.27/34.26  | | | | |   (25)  all_56_14 = e1 & op(e0, e1) = e1
% 197.27/34.26  | | | | | 
% 197.27/34.26  | | | | | ALPHA: (25) implies:
% 197.27/34.26  | | | | |   (26)  op(e0, e1) = e1
% 197.27/34.26  | | | | | 
% 197.27/34.26  | | | | | REF_CLOSE: (2), (3), (4), (9), (13), (17), (26) are inconsistent by
% 197.27/34.26  | | | | |            sub-proof #1451.
% 197.27/34.26  | | | | | 
% 197.27/34.26  | | | | Case 2:
% 197.27/34.26  | | | | | 
% 197.27/34.26  | | | | |   (27)  all_56_15 = e1 & op(e0, e0) = e1
% 197.27/34.26  | | | | | 
% 197.27/34.26  | | | | | ALPHA: (27) implies:
% 197.27/34.26  | | | | |   (28)  op(e0, e0) = e1
% 197.27/34.26  | | | | | 
% 197.27/34.26  | | | | | REF_CLOSE: (3), (12), (14), (28) are inconsistent by sub-proof #1780.
% 197.27/34.26  | | | | | 
% 197.27/34.26  | | | | End of split
% 197.27/34.26  | | | | 
% 197.27/34.26  | | | End of split
% 197.27/34.26  | | | 
% 197.27/34.26  | | Case 2:
% 197.27/34.26  | | | 
% 197.27/34.26  | | |   (29)  all_56_14 = e0 & op(e0, e1) = e0
% 197.27/34.26  | | | 
% 197.27/34.26  | | | ALPHA: (29) implies:
% 197.27/34.26  | | |   (30)  op(e0, e1) = e0
% 197.27/34.26  | | | 
% 197.27/34.26  | | | REF_CLOSE: (3), (7), (8), (9), (16), (30) are inconsistent by sub-proof
% 197.27/34.26  | | |            #1671.
% 197.27/34.26  | | | 
% 197.27/34.26  | | End of split
% 197.27/34.26  | | 
% 197.27/34.26  | End of split
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1451 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)  all_54_6 = all_52_9
% 197.27/34.26    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.26    (3)   ~ (all_52_9 = e0)
% 197.27/34.26    (4)  op(e0, e1) = e1
% 197.27/34.26    (5)  op(e0, e1) = all_52_11
% 197.27/34.26    (6)  all_54_6 = e1 | all_54_6 = e0
% 197.27/34.26    (7)   ~ (all_52_9 = all_52_11)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | BETA: splitting (6) gives:
% 197.27/34.26  | 
% 197.27/34.26  | Case 1:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (8)  all_54_6 = e1
% 197.27/34.26  | | 
% 197.27/34.26  | | COMBINE_EQS: (1), (8) imply:
% 197.27/34.26  | |   (9)  all_52_9 = e1
% 197.27/34.26  | | 
% 197.27/34.26  | | SIMP: (9) implies:
% 197.27/34.26  | |   (10)  all_52_9 = e1
% 197.27/34.26  | | 
% 197.27/34.26  | | REDUCE: (7), (10) imply:
% 197.27/34.26  | |   (11)   ~ (all_52_11 = e1)
% 197.27/34.26  | | 
% 197.27/34.26  | | SIMP: (11) implies:
% 197.27/34.26  | |   (12)   ~ (all_52_11 = e1)
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (2), (4), (5), (12) are inconsistent by sub-proof #1885.
% 197.27/34.26  | | 
% 197.27/34.26  | Case 2:
% 197.27/34.26  | | 
% 197.27/34.26  | |   (13)  all_54_6 = e0
% 197.27/34.26  | | 
% 197.27/34.26  | | REF_CLOSE: (1), (3), (13) are inconsistent by sub-proof #1452.
% 197.27/34.26  | | 
% 197.27/34.26  | End of split
% 197.27/34.26  | 
% 197.27/34.26  End of proof
% 197.27/34.26  
% 197.27/34.26  Sub-proof #1452 shows that the following formulas are inconsistent:
% 197.27/34.26  ----------------------------------------------------------------
% 197.27/34.26    (1)  all_54_6 = all_52_9
% 197.27/34.26    (2)  all_54_6 = e0
% 197.27/34.26    (3)   ~ (all_52_9 = e0)
% 197.27/34.26  
% 197.27/34.26  Begin of proof
% 197.27/34.26  | 
% 197.27/34.26  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.26  |   (4)  all_52_9 = e0
% 197.27/34.26  | 
% 197.27/34.26  | SIMP: (4) implies:
% 197.27/34.27  |   (5)  all_52_9 = e0
% 197.27/34.27  | 
% 197.27/34.27  | REDUCE: (3), (5) imply:
% 197.27/34.27  |   (6)  $false
% 197.27/34.27  | 
% 197.27/34.27  | CLOSE: (6) is inconsistent.
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1453 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)   ~ (all_52_3 = e1)
% 197.27/34.27    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (3)  all_56_13 = e0
% 197.27/34.27    (4)  op(e0, e3) = all_52_3
% 197.27/34.27    (5)   ~ (e1 = e0)
% 197.27/34.27    (6)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | BETA: splitting (6) gives:
% 197.27/34.27  | 
% 197.27/34.27  | Case 1:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (7)  all_56_12 = e1 & op(e0, e3) = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (7) implies:
% 197.27/34.27  | |   (8)  op(e0, e3) = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1950.
% 197.27/34.27  | | 
% 197.27/34.27  | Case 2:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (9)  all_56_13 = e1 & op(e0, e2) = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (9) implies:
% 197.27/34.27  | |   (10)  all_56_13 = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (3), (5), (10) are inconsistent by sub-proof #1787.
% 197.27/34.27  | | 
% 197.27/34.27  | End of split
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1454 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)   ~ (all_52_13 = e3)
% 197.27/34.27    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.27         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.27    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.27         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.27    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.27         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.27    (5)   ~ (e3 = e2)
% 197.27/34.27    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (7)  op(e2, e2) = all_4_2
% 197.27/34.27    (8)   ~ (all_52_9 = e3)
% 197.27/34.27    (9)  op(e2, e0) = all_52_13
% 197.27/34.27    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.27          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.27    (11)   ~ (all_4_2 = e3)
% 197.27/34.27    (12)   ~ (e1 = e0)
% 197.27/34.27    (13)  all_56_6 = e3
% 197.27/34.27    (14)   ~ (e2 = e1)
% 197.27/34.27    (15)  op(e2, e1) = all_52_9
% 197.27/34.27    (16)   ~ (e3 = e1)
% 197.27/34.27    (17)   ~ (e2 = e0)
% 197.27/34.27    (18)   ~ (e3 = e0)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | BETA: splitting (10) gives:
% 197.27/34.27  | 
% 197.27/34.27  | Case 1:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (19)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.27/34.27  | |           e3)
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (11), (12), (13), (14), (16), (17),
% 197.27/34.27  | |            (18), (19) are inconsistent by sub-proof #1457.
% 197.27/34.27  | | 
% 197.27/34.27  | Case 2:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (20)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 197.27/34.27  | |           e3)
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (1), (6), (8), (9), (15), (20) are inconsistent by sub-proof
% 197.27/34.27  | |            #1455.
% 197.27/34.27  | | 
% 197.27/34.27  | End of split
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1455 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)   ~ (all_52_13 = e3)
% 197.27/34.27    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (3)   ~ (all_52_9 = e3)
% 197.27/34.27    (4)  op(e2, e0) = all_52_13
% 197.27/34.27    (5)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.27    (6)  op(e2, e1) = all_52_9
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | BETA: splitting (5) gives:
% 197.27/34.27  | 
% 197.27/34.27  | Case 1:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (7)  all_56_5 = e3 & op(e2, e1) = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (7) implies:
% 197.27/34.27  | |   (8)  op(e2, e1) = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1758.
% 197.27/34.27  | | 
% 197.27/34.27  | Case 2:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (9)  all_56_10 = e3 & op(e2, e0) = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1456.
% 197.27/34.27  | | 
% 197.27/34.27  | End of split
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1456 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  all_56_10 = e3 & op(e2, e0) = e3
% 197.27/34.27    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (3)  op(e2, e0) = all_52_13
% 197.27/34.27    (4)   ~ (all_52_13 = e3)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | ALPHA: (1) implies:
% 197.27/34.27  |   (5)  op(e2, e0) = e3
% 197.27/34.27  | 
% 197.27/34.27  | GROUND_INST: instantiating (2) with all_52_13, e3, e0, e2, simplifying with
% 197.27/34.27  |              (3), (5) gives:
% 197.27/34.27  |   (6)  all_52_13 = e3
% 197.27/34.27  | 
% 197.27/34.27  | REDUCE: (4), (6) imply:
% 197.27/34.27  |   (7)  $false
% 197.27/34.27  | 
% 197.27/34.27  | CLOSE: (7) is inconsistent.
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1457 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.27         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.27    (2)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 197.27/34.27    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.27         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.27    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.27         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.27    (5)   ~ (e3 = e2)
% 197.27/34.27    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (7)  op(e2, e2) = all_4_2
% 197.27/34.27    (8)   ~ (all_4_2 = e3)
% 197.27/34.27    (9)   ~ (e1 = e0)
% 197.27/34.27    (10)  all_56_6 = e3
% 197.27/34.27    (11)   ~ (e2 = e1)
% 197.27/34.27    (12)   ~ (e3 = e1)
% 197.27/34.27    (13)   ~ (e2 = e0)
% 197.27/34.27    (14)   ~ (e3 = e0)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | BETA: splitting (2) gives:
% 197.27/34.27  | 
% 197.27/34.27  | Case 1:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (15)  all_56_2 = e3 & op(e2, e3) = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (15) implies:
% 197.27/34.27  | |   (16)  all_56_2 = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (1), (3), (4), (5), (6), (9), (10), (11), (12), (13), (14), (16)
% 197.27/34.27  | |            are inconsistent by sub-proof #1458.
% 197.27/34.27  | | 
% 197.27/34.27  | Case 2:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (17)  all_56_3 = e3 & op(e2, e2) = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (17) implies:
% 197.27/34.27  | |   (18)  op(e2, e2) = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (6), (7), (8), (18) are inconsistent by sub-proof #1975.
% 197.27/34.27  | | 
% 197.27/34.27  | End of split
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1458 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.27         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.27    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.27         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.27    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.27         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.27    (4)   ~ (e3 = e2)
% 197.27/34.27    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (6)  all_56_2 = e3
% 197.27/34.27    (7)   ~ (e1 = e0)
% 197.27/34.27    (8)  all_56_6 = e3
% 197.27/34.27    (9)   ~ (e2 = e1)
% 197.27/34.27    (10)   ~ (e3 = e1)
% 197.27/34.27    (11)   ~ (e2 = e0)
% 197.27/34.27    (12)   ~ (e3 = e0)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | BETA: splitting (1) gives:
% 197.27/34.27  | 
% 197.27/34.27  | Case 1:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 197.27/34.27  | |           e2)
% 197.27/34.27  | | 
% 197.27/34.27  | | BETA: splitting (13) gives:
% 197.27/34.27  | | 
% 197.27/34.27  | | Case 1:
% 197.27/34.27  | | | 
% 197.27/34.27  | | |   (14)  all_56_0 = e2 & op(e3, e3) = e2
% 197.27/34.27  | | | 
% 197.27/34.27  | | | ALPHA: (14) implies:
% 197.27/34.27  | | |   (15)  all_56_0 = e2
% 197.27/34.27  | | |   (16)  op(e3, e3) = e2
% 197.27/34.27  | | | 
% 197.27/34.27  | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (15), (16)
% 197.27/34.27  | | |            are inconsistent by sub-proof #1460.
% 197.27/34.27  | | | 
% 197.27/34.27  | | Case 2:
% 197.27/34.27  | | | 
% 197.27/34.27  | | |   (17)  all_56_2 = e2 & op(e2, e3) = e2
% 197.27/34.27  | | | 
% 197.27/34.27  | | | REF_CLOSE: (4), (6), (17) are inconsistent by sub-proof #1861.
% 197.27/34.27  | | | 
% 197.27/34.27  | | End of split
% 197.27/34.27  | | 
% 197.27/34.27  | Case 2:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (18)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 197.27/34.27  | |           e2)
% 197.27/34.27  | | 
% 197.27/34.27  | | BETA: splitting (18) gives:
% 197.27/34.27  | | 
% 197.27/34.27  | | Case 1:
% 197.27/34.27  | | | 
% 197.27/34.27  | | |   (19)  all_56_6 = e2 & op(e1, e3) = e2
% 197.27/34.27  | | | 
% 197.27/34.27  | | | ALPHA: (19) implies:
% 197.27/34.27  | | |   (20)  all_56_6 = e2
% 197.27/34.27  | | | 
% 197.27/34.27  | | | REF_CLOSE: (4), (8), (20) are inconsistent by sub-proof #1504.
% 197.27/34.27  | | | 
% 197.27/34.27  | | Case 2:
% 197.27/34.27  | | | 
% 197.27/34.27  | | |   (21)  all_56_12 = e2 & op(e0, e3) = e2
% 197.27/34.27  | | | 
% 197.27/34.27  | | | ALPHA: (21) implies:
% 197.27/34.27  | | |   (22)  all_56_12 = e2
% 197.27/34.27  | | | 
% 197.27/34.27  | | | BETA: splitting (2) gives:
% 197.27/34.27  | | | 
% 197.27/34.27  | | | Case 1:
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | |   (23)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 197.27/34.27  | | | |           = e0)
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | | BETA: splitting (23) gives:
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | | Case 1:
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | |   (24)  all_56_0 = e0 & op(e3, e3) = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | ALPHA: (24) implies:
% 197.27/34.27  | | | | |   (25)  op(e3, e3) = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | BETA: splitting (3) gives:
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | Case 1:
% 197.27/34.27  | | | | | | 
% 197.27/34.27  | | | | | |   (26)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2,
% 197.27/34.27  | | | | | |             e3) = e1)
% 197.27/34.27  | | | | | | 
% 197.27/34.27  | | | | | | REF_CLOSE: (5), (6), (7), (10), (25), (26) are inconsistent by
% 197.27/34.27  | | | | | |            sub-proof #1459.
% 197.27/34.27  | | | | | | 
% 197.27/34.27  | | | | | Case 2:
% 197.27/34.27  | | | | | | 
% 197.27/34.27  | | | | | |   (27)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0,
% 197.27/34.27  | | | | | |             e3) = e1)
% 197.27/34.27  | | | | | | 
% 197.27/34.27  | | | | | | BETA: splitting (27) gives:
% 197.27/34.27  | | | | | | 
% 197.27/34.27  | | | | | | Case 1:
% 197.27/34.27  | | | | | | | 
% 197.27/34.27  | | | | | | |   (28)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.27  | | | | | | | 
% 197.27/34.27  | | | | | | | REF_CLOSE: (8), (10), (28) are inconsistent by sub-proof #1569.
% 197.27/34.27  | | | | | | | 
% 197.27/34.27  | | | | | | Case 2:
% 197.27/34.27  | | | | | | | 
% 197.27/34.27  | | | | | | |   (29)  all_56_12 = e1 & op(e0, e3) = e1
% 197.27/34.27  | | | | | | | 
% 197.27/34.27  | | | | | | | ALPHA: (29) implies:
% 197.27/34.27  | | | | | | |   (30)  all_56_12 = e1
% 197.27/34.27  | | | | | | | 
% 197.27/34.27  | | | | | | | REF_CLOSE: (9), (22), (30) are inconsistent by sub-proof #1622.
% 197.27/34.27  | | | | | | | 
% 197.27/34.27  | | | | | | End of split
% 197.27/34.27  | | | | | | 
% 197.27/34.27  | | | | | End of split
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | Case 2:
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | |   (31)  all_56_2 = e0 & op(e2, e3) = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | REF_CLOSE: (6), (12), (31) are inconsistent by sub-proof #1729.
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | End of split
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | Case 2:
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | |   (32)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 197.27/34.27  | | | |           = e0)
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | | BETA: splitting (32) gives:
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | | Case 1:
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | |   (33)  all_56_6 = e0 & op(e1, e3) = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | ALPHA: (33) implies:
% 197.27/34.27  | | | | |   (34)  all_56_6 = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | REF_CLOSE: (8), (12), (34) are inconsistent by sub-proof #1581.
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | Case 2:
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | |   (35)  all_56_12 = e0 & op(e0, e3) = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | REF_CLOSE: (11), (22), (35) are inconsistent by sub-proof #1592.
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | End of split
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | End of split
% 197.27/34.27  | | | 
% 197.27/34.27  | | End of split
% 197.27/34.27  | | 
% 197.27/34.27  | End of split
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1459 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  op(e3, e3) = e0
% 197.27/34.27    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (3)  all_56_2 = e3
% 197.27/34.27    (4)   ~ (e1 = e0)
% 197.27/34.27    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 197.27/34.27    (6)   ~ (e3 = e1)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | BETA: splitting (5) gives:
% 197.27/34.27  | 
% 197.27/34.27  | Case 1:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (7) implies:
% 197.27/34.27  | |   (8)  op(e3, e3) = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1937.
% 197.27/34.27  | | 
% 197.27/34.27  | Case 2:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (9) implies:
% 197.27/34.27  | |   (10)  all_56_2 = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (3), (6), (10) are inconsistent by sub-proof #1859.
% 197.27/34.27  | | 
% 197.27/34.27  | End of split
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1460 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.27         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.27    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.27         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.27    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (4)  op(e3, e3) = e2
% 197.27/34.27    (5)  all_56_0 = e2
% 197.27/34.27    (6)  all_56_2 = e3
% 197.27/34.27    (7)   ~ (e1 = e0)
% 197.27/34.27    (8)  all_56_6 = e3
% 197.27/34.27    (9)   ~ (e2 = e1)
% 197.27/34.27    (10)   ~ (e3 = e1)
% 197.27/34.27    (11)   ~ (e2 = e0)
% 197.27/34.27    (12)   ~ (e3 = e0)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | BETA: splitting (2) gives:
% 197.27/34.27  | 
% 197.27/34.27  | Case 1:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 197.27/34.27  | |           e1)
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (3), (4), (6), (9), (10), (13) are inconsistent by sub-proof
% 197.27/34.27  | |            #1462.
% 197.27/34.27  | | 
% 197.27/34.27  | Case 2:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (14)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 197.27/34.27  | |           e1)
% 197.27/34.27  | | 
% 197.27/34.27  | | BETA: splitting (14) gives:
% 197.27/34.27  | | 
% 197.27/34.27  | | Case 1:
% 197.27/34.27  | | | 
% 197.27/34.27  | | |   (15)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.27  | | | 
% 197.27/34.27  | | | REF_CLOSE: (8), (10), (15) are inconsistent by sub-proof #1569.
% 197.27/34.27  | | | 
% 197.27/34.27  | | Case 2:
% 197.27/34.27  | | | 
% 197.27/34.27  | | |   (16)  all_56_12 = e1 & op(e0, e3) = e1
% 197.27/34.27  | | | 
% 197.27/34.27  | | | ALPHA: (16) implies:
% 197.27/34.27  | | |   (17)  all_56_12 = e1
% 197.27/34.27  | | | 
% 197.27/34.27  | | | BETA: splitting (1) gives:
% 197.27/34.27  | | | 
% 197.27/34.27  | | | Case 1:
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | |   (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 197.27/34.27  | | | |           = e0)
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | | BETA: splitting (18) gives:
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | | Case 1:
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | |   (19)  all_56_0 = e0 & op(e3, e3) = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | REF_CLOSE: (5), (11), (19) are inconsistent by sub-proof #1461.
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | Case 2:
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | |   (20)  all_56_2 = e0 & op(e2, e3) = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | ALPHA: (20) implies:
% 197.27/34.27  | | | | |   (21)  all_56_2 = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | REF_CLOSE: (6), (12), (21) are inconsistent by sub-proof #1711.
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | End of split
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | Case 2:
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | |   (22)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 197.27/34.27  | | | |           = e0)
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | | BETA: splitting (22) gives:
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | | Case 1:
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | |   (23)  all_56_6 = e0 & op(e1, e3) = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | REF_CLOSE: (8), (12), (23) are inconsistent by sub-proof #1856.
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | Case 2:
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | |   (24)  all_56_12 = e0 & op(e0, e3) = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | ALPHA: (24) implies:
% 197.27/34.27  | | | | |   (25)  all_56_12 = e0
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | | REF_CLOSE: (7), (17), (25) are inconsistent by sub-proof #1723.
% 197.27/34.27  | | | | | 
% 197.27/34.27  | | | | End of split
% 197.27/34.27  | | | | 
% 197.27/34.27  | | | End of split
% 197.27/34.27  | | | 
% 197.27/34.27  | | End of split
% 197.27/34.27  | | 
% 197.27/34.27  | End of split
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1461 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  all_56_0 = e0 & op(e3, e3) = e0
% 197.27/34.27    (2)  all_56_0 = e2
% 197.27/34.27    (3)   ~ (e2 = e0)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | ALPHA: (1) implies:
% 197.27/34.27  |   (4)  all_56_0 = e0
% 197.27/34.27  | 
% 197.27/34.27  | COMBINE_EQS: (2), (4) imply:
% 197.27/34.27  |   (5)  e2 = e0
% 197.27/34.27  | 
% 197.27/34.27  | REDUCE: (3), (5) imply:
% 197.27/34.27  |   (6)  $false
% 197.27/34.27  | 
% 197.27/34.27  | CLOSE: (6) is inconsistent.
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1462 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (2)  op(e3, e3) = e2
% 197.27/34.27    (3)  all_56_2 = e3
% 197.27/34.27    (4)   ~ (e2 = e1)
% 197.27/34.27    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 197.27/34.27    (6)   ~ (e3 = e1)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | BETA: splitting (5) gives:
% 197.27/34.27  | 
% 197.27/34.27  | Case 1:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (7) implies:
% 197.27/34.27  | |   (8)  op(e3, e3) = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1934.
% 197.27/34.27  | | 
% 197.27/34.27  | Case 2:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (9) implies:
% 197.27/34.27  | |   (10)  all_56_2 = e1
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (3), (6), (10) are inconsistent by sub-proof #1859.
% 197.27/34.27  | | 
% 197.27/34.27  | End of split
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1463 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (2)  op(e3, e3) = e1
% 197.27/34.27    (3)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 197.27/34.27    (4)  all_56_2 = e0
% 197.27/34.27    (5)   ~ (e3 = e1)
% 197.27/34.27    (6)   ~ (e3 = e0)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | BETA: splitting (3) gives:
% 197.27/34.27  | 
% 197.27/34.27  | Case 1:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (7) implies:
% 197.27/34.27  | |   (8)  op(e3, e3) = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1966.
% 197.27/34.27  | | 
% 197.27/34.27  | Case 2:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (9)  all_56_2 = e3 & op(e2, e3) = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (9) implies:
% 197.27/34.27  | |   (10)  all_56_2 = e3
% 197.27/34.27  | | 
% 197.27/34.27  | | REF_CLOSE: (4), (6), (10) are inconsistent by sub-proof #1711.
% 197.27/34.27  | | 
% 197.27/34.27  | End of split
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1464 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  all_54_12 = all_52_3
% 197.27/34.27    (2)  all_54_12 = e1
% 197.27/34.27    (3)   ~ (all_52_3 = e1)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.27  |   (4)  all_52_3 = e1
% 197.27/34.27  | 
% 197.27/34.27  | SIMP: (4) implies:
% 197.27/34.27  |   (5)  all_52_3 = e1
% 197.27/34.27  | 
% 197.27/34.27  | REDUCE: (3), (5) imply:
% 197.27/34.27  |   (6)  $false
% 197.27/34.27  | 
% 197.27/34.27  | CLOSE: (6) is inconsistent.
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1465 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  all_54_12 = all_52_3
% 197.27/34.27    (2)  all_54_12 = e2
% 197.27/34.27    (3)   ~ (all_52_3 = e2)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.27  |   (4)  all_52_3 = e2
% 197.27/34.27  | 
% 197.27/34.27  | SIMP: (4) implies:
% 197.27/34.27  |   (5)  all_52_3 = e2
% 197.27/34.27  | 
% 197.27/34.27  | REDUCE: (3), (5) imply:
% 197.27/34.27  |   (6)  $false
% 197.27/34.27  | 
% 197.27/34.27  | CLOSE: (6) is inconsistent.
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1466 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  all_54_12 = all_52_3
% 197.27/34.27    (2)  all_54_12 = e3
% 197.27/34.27    (3)   ~ (all_52_3 = e3)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.27  |   (4)  all_52_3 = e3
% 197.27/34.27  | 
% 197.27/34.27  | SIMP: (4) implies:
% 197.27/34.27  |   (5)  all_52_3 = e3
% 197.27/34.27  | 
% 197.27/34.27  | REDUCE: (3), (5) imply:
% 197.27/34.27  |   (6)  $false
% 197.27/34.27  | 
% 197.27/34.27  | CLOSE: (6) is inconsistent.
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1467 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  all_54_6 = all_52_9
% 197.27/34.27    (2)  all_54_6 = e2
% 197.27/34.27    (3)   ~ (all_52_9 = e2)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.27  |   (4)  all_52_9 = e2
% 197.27/34.27  | 
% 197.27/34.27  | SIMP: (4) implies:
% 197.27/34.27  |   (5)  all_52_9 = e2
% 197.27/34.27  | 
% 197.27/34.27  | REDUCE: (3), (5) imply:
% 197.27/34.27  |   (6)  $false
% 197.27/34.27  | 
% 197.27/34.27  | CLOSE: (6) is inconsistent.
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1468 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)  all_54_6 = all_52_9
% 197.27/34.27    (2)  all_54_6 = e3
% 197.27/34.27    (3)   ~ (all_52_9 = e3)
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.27  |   (4)  all_52_9 = e3
% 197.27/34.27  | 
% 197.27/34.27  | SIMP: (4) implies:
% 197.27/34.27  |   (5)  all_52_9 = e3
% 197.27/34.27  | 
% 197.27/34.27  | REDUCE: (3), (5) imply:
% 197.27/34.27  |   (6)  $false
% 197.27/34.27  | 
% 197.27/34.27  | CLOSE: (6) is inconsistent.
% 197.27/34.27  | 
% 197.27/34.27  End of proof
% 197.27/34.27  
% 197.27/34.27  Sub-proof #1469 shows that the following formulas are inconsistent:
% 197.27/34.27  ----------------------------------------------------------------
% 197.27/34.27    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.27    (2)  op(e3, e3) = e1
% 197.27/34.27    (3)   ~ (all_52_1 = e2)
% 197.27/34.27    (4)   ~ (e2 = e1)
% 197.27/34.27    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 197.27/34.27    (6)  op(e2, e3) = all_52_1
% 197.27/34.27  
% 197.27/34.27  Begin of proof
% 197.27/34.27  | 
% 197.27/34.27  | BETA: splitting (5) gives:
% 197.27/34.27  | 
% 197.27/34.27  | Case 1:
% 197.27/34.27  | | 
% 197.27/34.27  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 197.27/34.27  | | 
% 197.27/34.27  | | ALPHA: (7) implies:
% 197.27/34.28  | |   (8)  op(e3, e3) = e2
% 197.27/34.28  | | 
% 197.27/34.28  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1934.
% 197.27/34.28  | | 
% 197.27/34.28  | Case 2:
% 197.27/34.28  | | 
% 197.27/34.28  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 197.27/34.28  | | 
% 197.27/34.28  | | ALPHA: (9) implies:
% 197.27/34.28  | |   (10)  op(e2, e3) = e2
% 197.27/34.28  | | 
% 197.27/34.28  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1785.
% 197.27/34.28  | | 
% 197.27/34.28  | End of split
% 197.27/34.28  | 
% 197.27/34.28  End of proof
% 197.27/34.28  
% 197.27/34.28  Sub-proof #1470 shows that the following formulas are inconsistent:
% 197.27/34.28  ----------------------------------------------------------------
% 197.27/34.28    (1)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.27/34.28    (2)  op(e1, e3) = all_52_2
% 197.27/34.28    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.27/34.28           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.27/34.28           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.27/34.28                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.27/34.28               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.27/34.28               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.28           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.27/34.28           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.28               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.27/34.28           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.27/34.28               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.27/34.28           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.27/34.28           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.27/34.28               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.28               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.28               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.28         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.27/34.28           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.27/34.28           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.27/34.28               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.28             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.28         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.27/34.28           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.27/34.28           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.27/34.28                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.27/34.28               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.27/34.28               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.27/34.28           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.27/34.28           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.28             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.28           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.28               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.27/34.28           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.27/34.28           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.27/34.28               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.28               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.28               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.28         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.27/34.28           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.27/34.28           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.27/34.28               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.28             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.28         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.27/34.28           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.27/34.28           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.27/34.28                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.27/34.28               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.27/34.28               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.27/34.28           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.27/34.28             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.28               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.28           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.28               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.27/34.28           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.27/34.28           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.27/34.28               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.28               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.28               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.28         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.27/34.28           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.27/34.28           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.27/34.28               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.27/34.28             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.27/34.28         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.28             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.28           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.28               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.28             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.28         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.27/34.28             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.28           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.28               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.28             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.28         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.27/34.28             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.28           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.27/34.28               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.27/34.28             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.28         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.27/34.28             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.28           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.27/34.28               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.27/34.28             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.28    (4)  all_54_7 = all_52_13
% 197.27/34.28    (5)  op(e0, e0) = all_14_2
% 197.27/34.28    (6)   ~ (all_14_2 = e1)
% 197.27/34.28    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.28         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.28    (8)   ~ (all_52_2 = e0)
% 197.27/34.28    (9)   ~ (e3 = e2)
% 197.27/34.28    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.28            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.28    (11)   ~ (all_52_3 = all_14_2)
% 197.27/34.28    (12)  op(e3, e2) = all_52_4
% 197.27/34.28    (13)  op(e2, e2) = all_4_2
% 197.27/34.28    (14)   ~ (all_52_12 = all_52_13)
% 197.27/34.28    (15)  op(e3, e3) = e1
% 197.27/34.28    (16)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.28          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.28    (17)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.28          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.28    (18)  op(e0, e3) = all_52_3
% 197.27/34.28    (19)  op(e2, e0) = all_52_13
% 197.27/34.28    (20)  op(e1, e0) = all_52_14
% 197.27/34.28    (21)   ~ (all_52_12 = all_14_2)
% 197.27/34.28    (22)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.28              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.28            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.28            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.28            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.28            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.27/34.28            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.27/34.28            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.28            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.27/34.28            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.28            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.28            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.27/34.28            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.28            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.28            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.28            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.28            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.28            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.27/34.28            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.28            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.28            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.27/34.28            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.28            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.28            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.27/34.28            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.28            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.28            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.28            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.28            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.28            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.27/34.28            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.28            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.28            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.28            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.28            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.28            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.28            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.28            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.28            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.28            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.28            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.28            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.27/34.28            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.28            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.28            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.27/34.28            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.28            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.28            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.27/34.28              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.27/34.28            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.28            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.27/34.28              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.28            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.28            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.27/34.28                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.28                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.28                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.28                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.28                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.27/34.28                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.27/34.28                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.28              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.28                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.27/34.28                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.28                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.27/34.28                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.27/34.28                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.28                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.28                $i(all_57_7))))
% 197.27/34.28    (23)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.27/34.28          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.27/34.28    (24)   ~ (all_52_14 = all_14_2)
% 197.27/34.28    (25)   ~ (all_52_4 = all_4_2)
% 197.27/34.28    (26)  op(e0, e1) = all_52_11
% 197.27/34.28    (27)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.27/34.28    (28)   ~ (all_4_2 = e1)
% 197.27/34.28    (29)  op(e1, e1) = e0
% 197.27/34.28    (30)   ~ (all_14_2 = e3)
% 197.27/34.28    (31)   ~ (all_4_2 = e3)
% 197.27/34.28    (32)   ~ (all_14_2 = e2)
% 197.27/34.28    (33)   ~ (all_52_8 = all_52_12)
% 197.27/34.28    (34)  all_54_15 = all_14_2
% 197.27/34.28    (35)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.27/34.28          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.28    (36)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.27/34.28    (37)   ~ (all_52_1 = all_52_13)
% 197.27/34.28    (38)   ~ (all_52_11 = all_14_2)
% 197.27/34.28    (39)   ~ (all_52_4 = e1)
% 197.27/34.28    (40)  all_54_5 = all_4_2
% 197.27/34.28    (41)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.28          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.28    (42)   ~ (e2 = e1)
% 197.27/34.28    (43)   ~ (all_52_13 = all_4_2)
% 197.27/34.28    (44)   ~ (all_52_2 = e1)
% 197.27/34.28    (45)  op(e3, e0) = all_52_12
% 197.27/34.28    (46)   ~ (all_52_9 = all_4_2)
% 197.27/34.28    (47)  op(e2, e1) = all_52_9
% 197.27/34.28    (48)   ~ (all_52_1 = all_52_3)
% 197.27/34.28    (49)  op(e3, e1) = all_52_8
% 197.27/34.28    (50)   ~ (all_52_9 = all_52_13)
% 197.27/34.28    (51)   ~ (e3 = e1)
% 197.27/34.28    (52)  op(e2, e3) = all_52_1
% 197.27/34.28  
% 197.27/34.28  Begin of proof
% 197.27/34.28  | 
% 197.27/34.28  | BETA: splitting (27) gives:
% 197.27/34.28  | 
% 197.27/34.28  | Case 1:
% 197.27/34.28  | | 
% 197.27/34.28  | |   (53)  all_54_15 = e2
% 197.27/34.28  | | 
% 197.27/34.28  | | REF_CLOSE: (32), (34), (53) are inconsistent by sub-proof #1648.
% 197.27/34.28  | | 
% 197.27/34.28  | Case 2:
% 197.27/34.28  | | 
% 197.27/34.28  | |   (54)   ~ (all_54_15 = e2)
% 197.27/34.28  | |   (55)  all_54_15 = e1 | all_54_15 = e0
% 197.27/34.28  | | 
% 197.27/34.28  | | BETA: splitting (55) gives:
% 197.27/34.28  | | 
% 197.27/34.28  | | Case 1:
% 197.27/34.28  | | | 
% 197.27/34.28  | | |   (56)  all_54_15 = e1
% 197.27/34.28  | | | 
% 197.27/34.28  | | | REF_CLOSE: (6), (34), (56) are inconsistent by sub-proof #1660.
% 197.27/34.28  | | | 
% 197.27/34.28  | | Case 2:
% 197.27/34.28  | | | 
% 197.27/34.28  | | |   (57)  all_54_15 = e0
% 197.27/34.28  | | | 
% 197.27/34.28  | | | COMBINE_EQS: (34), (57) imply:
% 197.27/34.28  | | |   (58)  all_14_2 = e0
% 197.27/34.28  | | | 
% 197.27/34.28  | | | SIMP: (58) implies:
% 197.27/34.28  | | |   (59)  all_14_2 = e0
% 197.27/34.28  | | | 
% 197.27/34.28  | | | REDUCE: (11), (59) imply:
% 197.27/34.28  | | |   (60)   ~ (all_52_3 = e0)
% 197.27/34.28  | | | 
% 197.27/34.28  | | | REDUCE: (38), (59) imply:
% 197.27/34.28  | | |   (61)   ~ (all_52_11 = e0)
% 197.27/34.28  | | | 
% 197.27/34.28  | | | REDUCE: (21), (59) imply:
% 197.27/34.28  | | |   (62)   ~ (all_52_12 = e0)
% 197.27/34.28  | | | 
% 197.27/34.28  | | | REDUCE: (24), (59) imply:
% 197.27/34.28  | | |   (63)   ~ (all_52_14 = e0)
% 197.27/34.28  | | | 
% 197.27/34.28  | | | REDUCE: (30), (59) imply:
% 197.27/34.28  | | |   (64)   ~ (e3 = e0)
% 197.27/34.28  | | | 
% 197.27/34.28  | | | SIMP: (64) implies:
% 197.27/34.28  | | |   (65)   ~ (e3 = e0)
% 197.27/34.28  | | | 
% 197.27/34.28  | | | REDUCE: (32), (59) imply:
% 197.27/34.28  | | |   (66)   ~ (e2 = e0)
% 197.27/34.28  | | | 
% 197.27/34.28  | | | SIMP: (66) implies:
% 197.27/34.28  | | |   (67)   ~ (e2 = e0)
% 197.27/34.28  | | | 
% 197.27/34.28  | | | REDUCE: (6), (59) imply:
% 197.27/34.28  | | |   (68)   ~ (e1 = e0)
% 197.27/34.28  | | | 
% 197.27/34.28  | | | SIMP: (68) implies:
% 197.27/34.28  | | |   (69)   ~ (e1 = e0)
% 197.27/34.28  | | | 
% 197.27/34.28  | | | REDUCE: (5), (59) imply:
% 197.27/34.28  | | |   (70)  op(e0, e0) = e0
% 197.27/34.28  | | | 
% 197.27/34.28  | | | BETA: splitting (7) gives:
% 197.27/34.28  | | | 
% 197.27/34.28  | | | Case 1:
% 197.27/34.28  | | | | 
% 197.27/34.28  | | | |   (71)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 197.27/34.28  | | | |           = e0)
% 197.27/34.28  | | | | 
% 197.27/34.28  | | | | BETA: splitting (71) gives:
% 197.27/34.28  | | | | 
% 197.27/34.28  | | | | Case 1:
% 197.27/34.28  | | | | | 
% 197.27/34.28  | | | | |   (72)  all_56_0 = e0 & op(e3, e3) = e0
% 197.27/34.28  | | | | | 
% 197.27/34.28  | | | | | ALPHA: (72) implies:
% 197.27/34.28  | | | | |   (73)  op(e3, e3) = e0
% 197.27/34.28  | | | | | 
% 197.27/34.28  | | | | | REF_CLOSE: (10), (15), (69), (73) are inconsistent by sub-proof #1937.
% 197.27/34.28  | | | | | 
% 197.27/34.28  | | | | Case 2:
% 197.27/34.28  | | | | | 
% 197.27/34.28  | | | | |   (74)  all_56_2 = e0 & op(e2, e3) = e0
% 197.27/34.28  | | | | | 
% 197.27/34.28  | | | | | ALPHA: (74) implies:
% 197.27/34.28  | | | | |   (75)  op(e2, e3) = e0
% 197.27/34.28  | | | | | 
% 197.27/34.28  | | | | | BETA: splitting (35) gives:
% 197.27/34.28  | | | | | 
% 197.27/34.28  | | | | | Case 1:
% 197.27/34.28  | | | | | | 
% 197.27/34.28  | | | | | |   (76)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3,
% 197.27/34.28  | | | | | |             e2) = e0)
% 197.27/34.28  | | | | | | 
% 197.27/34.28  | | | | | | BETA: splitting (76) gives:
% 197.27/34.28  | | | | | | 
% 197.27/34.28  | | | | | | Case 1:
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | |   (77)  all_56_0 = e0 & op(e3, e3) = e0
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | ALPHA: (77) implies:
% 197.27/34.28  | | | | | | |   (78)  op(e3, e3) = e0
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | REF_CLOSE: (10), (15), (69), (78) are inconsistent by sub-proof
% 197.27/34.28  | | | | | | |            #1937.
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | Case 2:
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | |   (79)  all_56_1 = e0 & op(e3, e2) = e0
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | ALPHA: (79) implies:
% 197.27/34.28  | | | | | | |   (80)  op(e3, e2) = e0
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | GROUND_INST: instantiating (10) with all_52_1, e0, e3, e2,
% 197.27/34.28  | | | | | | |              simplifying with (52), (75) gives:
% 197.27/34.28  | | | | | | |   (81)  all_52_1 = e0
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | GROUND_INST: instantiating (10) with all_52_4, e0, e2, e3,
% 197.27/34.28  | | | | | | |              simplifying with (12), (80) gives:
% 197.27/34.28  | | | | | | |   (82)  all_52_4 = e0
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | REDUCE: (48), (81) imply:
% 197.27/34.28  | | | | | | |   (83)   ~ (all_52_3 = e0)
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | REDUCE: (37), (81) imply:
% 197.27/34.28  | | | | | | |   (84)   ~ (all_52_13 = e0)
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | SIMP: (84) implies:
% 197.27/34.28  | | | | | | |   (85)   ~ (all_52_13 = e0)
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | REDUCE: (25), (82) imply:
% 197.27/34.28  | | | | | | |   (86)   ~ (all_4_2 = e0)
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | SIMP: (86) implies:
% 197.27/34.28  | | | | | | |   (87)   ~ (all_4_2 = e0)
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | BETA: splitting (1) gives:
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | | Case 1:
% 197.27/34.28  | | | | | | | | 
% 197.27/34.28  | | | | | | | |   (88)  all_54_5 = e3
% 197.27/34.28  | | | | | | | | 
% 197.27/34.28  | | | | | | | | COMBINE_EQS: (40), (88) imply:
% 197.27/34.28  | | | | | | | |   (89)  all_4_2 = e3
% 197.27/34.28  | | | | | | | | 
% 197.27/34.28  | | | | | | | | REDUCE: (31), (89) imply:
% 197.27/34.28  | | | | | | | |   (90)  $false
% 197.27/34.28  | | | | | | | | 
% 197.27/34.28  | | | | | | | | CLOSE: (90) is inconsistent.
% 197.27/34.28  | | | | | | | | 
% 197.27/34.28  | | | | | | | Case 2:
% 197.27/34.28  | | | | | | | | 
% 197.27/34.28  | | | | | | | |   (91)   ~ (all_54_5 = e3)
% 197.27/34.28  | | | | | | | |   (92)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.27/34.28  | | | | | | | | 
% 197.27/34.28  | | | | | | | | BETA: splitting (92) gives:
% 197.27/34.28  | | | | | | | | 
% 197.27/34.28  | | | | | | | | Case 1:
% 197.27/34.28  | | | | | | | | | 
% 197.27/34.28  | | | | | | | | |   (93)  all_54_5 = e2
% 197.27/34.28  | | | | | | | | | 
% 197.27/34.28  | | | | | | | | | COMBINE_EQS: (40), (93) imply:
% 197.27/34.28  | | | | | | | | |   (94)  all_4_2 = e2
% 197.27/34.28  | | | | | | | | | 
% 197.27/34.28  | | | | | | | | | REDUCE: (46), (94) imply:
% 197.27/34.28  | | | | | | | | |   (95)   ~ (all_52_9 = e2)
% 197.27/34.28  | | | | | | | | | 
% 197.27/34.28  | | | | | | | | | REDUCE: (43), (94) imply:
% 197.27/34.28  | | | | | | | | |   (96)   ~ (all_52_13 = e2)
% 197.27/34.28  | | | | | | | | | 
% 197.27/34.28  | | | | | | | | | REDUCE: (13), (94) imply:
% 197.27/34.28  | | | | | | | | |   (97)  op(e2, e2) = e2
% 197.27/34.28  | | | | | | | | | 
% 197.27/34.28  | | | | | | | | | REF_CLOSE: (2), (3), (4), (10), (13), (14), (15), (18), (19),
% 197.27/34.28  | | | | | | | | |            (20), (22), (23), (26), (29), (31), (33), (36),
% 197.27/34.28  | | | | | | | | |            (42), (44), (45), (47), (49), (50), (60), (61),
% 197.27/34.28  | | | | | | | | |            (63), (65), (67), (69), (70), (85), (95), (96),
% 197.27/34.28  | | | | | | | | |            (97) are inconsistent by sub-proof #1471.
% 197.27/34.28  | | | | | | | | | 
% 197.27/34.28  | | | | | | | | Case 2:
% 197.27/34.28  | | | | | | | | | 
% 197.27/34.28  | | | | | | | | |   (98)  all_54_5 = e1 | all_54_5 = e0
% 197.27/34.28  | | | | | | | | | 
% 197.27/34.28  | | | | | | | | | REF_CLOSE: (28), (40), (87), (98) are inconsistent by
% 197.27/34.28  | | | | | | | | |            sub-proof #1941.
% 197.27/34.28  | | | | | | | | | 
% 197.27/34.28  | | | | | | | | End of split
% 197.27/34.28  | | | | | | | | 
% 197.27/34.28  | | | | | | | End of split
% 197.27/34.28  | | | | | | | 
% 197.27/34.28  | | | | | | End of split
% 197.27/34.28  | | | | | | 
% 197.27/34.28  | | | | | Case 2:
% 197.27/34.28  | | | | | | 
% 197.27/34.28  | | | | | |   (99)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 197.27/34.28  | | | | | |             e0) = e0)
% 197.27/34.28  | | | | | | 
% 197.27/34.28  | | | | | | REF_CLOSE: (9), (10), (16), (17), (29), (41), (42), (45), (51),
% 197.27/34.28  | | | | | |            (62), (65), (67), (69), (99) are inconsistent by
% 197.27/34.28  | | | | | |            sub-proof #1639.
% 197.27/34.28  | | | | | | 
% 197.27/34.28  | | | | | End of split
% 197.27/34.28  | | | | | 
% 197.27/34.28  | | | | End of split
% 197.27/34.28  | | | | 
% 197.27/34.28  | | | Case 2:
% 197.27/34.28  | | | | 
% 197.27/34.28  | | | |   (100)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0,
% 197.27/34.28  | | | |              e3) = e0)
% 197.27/34.28  | | | | 
% 197.27/34.28  | | | | REF_CLOSE: (2), (8), (10), (18), (60), (100) are inconsistent by
% 197.27/34.28  | | | |            sub-proof #1767.
% 197.27/34.28  | | | | 
% 197.27/34.28  | | | End of split
% 197.27/34.28  | | | 
% 197.27/34.28  | | End of split
% 197.27/34.28  | | 
% 197.27/34.28  | End of split
% 197.27/34.28  | 
% 197.27/34.28  End of proof
% 197.27/34.28  
% 197.27/34.28  Sub-proof #1471 shows that the following formulas are inconsistent:
% 197.27/34.28  ----------------------------------------------------------------
% 197.27/34.28    (1)  op(e1, e3) = all_52_2
% 197.27/34.29    (2)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.27/34.29           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.27/34.29           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.27/34.29                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.27/34.29               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.27/34.29               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.29           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.27/34.29           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.29               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.27/34.29           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.27/34.29               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.27/34.29           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.27/34.29           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.27/34.29               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.29               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.29               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.29         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.27/34.29           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.27/34.29           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.27/34.29               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.29             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.29         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.27/34.29           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.27/34.29           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.27/34.29                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.27/34.29               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.27/34.29               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.27/34.29           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.27/34.29           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.29             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.29           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.29               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.27/34.29           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.27/34.29           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.27/34.29               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.29               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.29               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.29         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.27/34.29           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.27/34.29           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.27/34.29               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.29             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.29         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.27/34.29           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.27/34.29           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.27/34.29                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.27/34.29               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.27/34.29               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.27/34.29           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.27/34.29             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.29               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.29           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.29               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.27/34.29           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.27/34.29           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.27/34.29               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.29               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.29               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.29         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.27/34.29           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.27/34.29           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.27/34.29               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.27/34.29             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.27/34.29         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.29             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.29           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.29               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.29             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.29         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.27/34.29             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.29           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.29               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.29             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.29         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.27/34.29             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.29           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.27/34.29               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.27/34.29             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.29         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.27/34.29             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.29           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.27/34.29               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.27/34.29             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.29    (3)  all_54_7 = all_52_13
% 197.27/34.29    (4)   ~ (all_52_14 = e0)
% 197.27/34.29    (5)   ~ (all_52_13 = e2)
% 197.27/34.29    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.29    (7)  op(e2, e2) = all_4_2
% 197.27/34.29    (8)   ~ (all_52_12 = all_52_13)
% 197.27/34.29    (9)  op(e3, e3) = e1
% 197.27/34.29    (10)  op(e0, e3) = all_52_3
% 197.27/34.29    (11)  op(e2, e0) = all_52_13
% 197.27/34.29    (12)  op(e1, e0) = all_52_14
% 197.27/34.29    (13)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.29              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.29            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.29            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.29            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.29            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.27/34.29            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.27/34.29            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.29            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.27/34.29            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.29            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.29            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.27/34.29            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.29            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.29            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.29            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.29            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.29            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.27/34.29            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.29            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.29            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.27/34.29            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.29            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.29            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.27/34.29            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.29            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.29            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.29            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.29            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.29            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.27/34.29            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.29            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.29            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.29            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.29            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.29            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.29            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.29            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.29            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.29            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.29            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.29            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.27/34.29            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.29            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.29            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.27/34.29            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.29            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.29            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.27/34.29              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.27/34.29            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.29            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.27/34.29              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.29            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.29            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.27/34.29                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.29                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.29                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.29                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.29                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.27/34.29                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.27/34.29                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.29              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.29                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.27/34.29                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.29                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.27/34.29                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.27/34.29                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.29                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.29                $i(all_57_7))))
% 197.27/34.29    (14)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.27/34.29          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.27/34.29    (15)   ~ (all_52_9 = e2)
% 197.27/34.29    (16)  op(e0, e1) = all_52_11
% 197.27/34.29    (17)  op(e1, e1) = e0
% 197.27/34.29    (18)   ~ (all_4_2 = e3)
% 197.27/34.29    (19)   ~ (all_52_8 = all_52_12)
% 197.27/34.29    (20)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.27/34.29    (21)   ~ (e1 = e0)
% 197.27/34.29    (22)   ~ (e2 = e1)
% 197.27/34.29    (23)   ~ (all_52_11 = e0)
% 197.27/34.29    (24)   ~ (all_52_3 = e0)
% 197.27/34.29    (25)   ~ (all_52_2 = e1)
% 197.27/34.29    (26)  op(e3, e0) = all_52_12
% 197.27/34.29    (27)  op(e2, e2) = e2
% 197.27/34.29    (28)  op(e2, e1) = all_52_9
% 197.27/34.29    (29)  op(e0, e0) = e0
% 197.27/34.29    (30)   ~ (all_52_13 = e0)
% 197.27/34.29    (31)  op(e3, e1) = all_52_8
% 197.27/34.29    (32)   ~ (all_52_9 = all_52_13)
% 197.27/34.29    (33)   ~ (e2 = e0)
% 197.27/34.29    (34)   ~ (e3 = e0)
% 197.27/34.29  
% 197.27/34.29  Begin of proof
% 197.27/34.29  | 
% 197.27/34.29  | BETA: splitting (13) gives:
% 197.27/34.29  | 
% 197.27/34.29  | Case 1:
% 197.27/34.29  | | 
% 197.27/34.29  | |   (35)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 197.27/34.29  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.29  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 197.27/34.29  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 197.27/34.29  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.27/34.29  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 197.27/34.29  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 197.27/34.29  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 197.27/34.29  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.27/34.29  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 197.27/34.29  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.27/34.29  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)) |
% 197.27/34.29  | |         (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 197.27/34.29  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.29  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.27/34.29  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 197.27/34.29  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.27/34.29  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 197.27/34.29  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 197.27/34.29  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 197.27/34.29  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.27/34.29  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.27/34.29  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.27/34.29  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.27/34.29  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.27/34.29  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.27/34.29  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.29  | | 
% 197.27/34.29  | | BETA: splitting (35) gives:
% 197.27/34.29  | | 
% 197.27/34.29  | | Case 1:
% 197.27/34.29  | | | 
% 197.27/34.29  | | |   (36)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.29  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.27/34.29  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.27/34.29  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 197.27/34.29  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.27/34.29  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.29  | | |           $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3
% 197.27/34.29  | | |           &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.29  | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.29  | | |           all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 &
% 197.27/34.29  | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.27/34.29  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2
% 197.27/34.29  | | |           & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.27/34.29  | | | 
% 197.27/34.29  | | | BETA: splitting (36) gives:
% 197.27/34.29  | | | 
% 197.27/34.29  | | | Case 1:
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | |   (37)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.29  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.27/34.29  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.27/34.29  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 197.27/34.29  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.29  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 197.27/34.29  | | | |           e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | | BETA: splitting (37) gives:
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | | Case 1:
% 197.27/34.29  | | | | | 
% 197.27/34.29  | | | | |   (38)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.29  | | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.27/34.29  | | | | |         op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.27/34.29  | | | | |         $i(all_57_12)
% 197.27/34.29  | | | | | 
% 197.27/34.29  | | | | | ALPHA: (38) implies:
% 197.27/34.29  | | | | |   (39)  op(e1, e1) = e3
% 197.27/34.29  | | | | | 
% 197.27/34.29  | | | | | REF_CLOSE: (6), (17), (34), (39) are inconsistent by sub-proof #1824.
% 197.27/34.29  | | | | | 
% 197.27/34.29  | | | | Case 2:
% 197.27/34.29  | | | | | 
% 197.27/34.29  | | | | |   (40)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.27/34.29  | | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.27/34.29  | | | | |         op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.27/34.29  | | | | |         $i(all_57_12)
% 197.27/34.29  | | | | | 
% 197.27/34.29  | | | | | ALPHA: (40) implies:
% 197.27/34.29  | | | | |   (41)  op(e0, e0) = e3
% 197.27/34.29  | | | | | 
% 197.27/34.29  | | | | | REF_CLOSE: (6), (29), (34), (41) are inconsistent by sub-proof #1947.
% 197.27/34.29  | | | | | 
% 197.27/34.29  | | | | End of split
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | Case 2:
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | |   (42)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.27/34.29  | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.27/34.29  | | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.27/34.29  | | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 197.27/34.29  | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.29  | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 197.27/34.29  | | | |           e3 & $i(all_57_2) & $i(all_57_14))
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | | REF_CLOSE: (1), (6), (7), (18), (25), (42) are inconsistent by sub-proof
% 197.27/34.29  | | | |            #1973.
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | End of split
% 197.27/34.29  | | | 
% 197.27/34.29  | | Case 2:
% 197.27/34.29  | | | 
% 197.27/34.29  | | |   (43)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.29  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.29  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.29  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 197.27/34.29  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.27/34.29  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.29  | | |           $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2
% 197.27/34.29  | | |           &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 197.27/34.29  | | |           op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 197.27/34.29  | | |           & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 =
% 197.27/34.29  | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1
% 197.27/34.29  | | |           & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 197.27/34.29  | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 197.27/34.29  | | |           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.29  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.29  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.29  | | | 
% 197.27/34.29  | | | BETA: splitting (43) gives:
% 197.27/34.29  | | | 
% 197.27/34.29  | | | Case 1:
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | |   (44)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.29  | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.29  | | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.29  | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.29  | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 197.27/34.29  | | | |           & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.29  | | | |           $i(all_57_5) & $i(all_57_10))
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | | REF_CLOSE: (6), (17), (29), (33), (44) are inconsistent by sub-proof
% 197.27/34.29  | | | |            #1488.
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | Case 2:
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | |   (45)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.27/34.29  | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.27/34.29  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.29  | | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 197.27/34.29  | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.27/34.29  | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 197.27/34.29  | | | |           e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.27/34.29  | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 197.27/34.29  | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.27/34.29  | | | |           op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | | REF_CLOSE: (6), (9), (22), (27), (29), (33), (45) are inconsistent by
% 197.27/34.29  | | | |            sub-proof #1486.
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | End of split
% 197.27/34.29  | | | 
% 197.27/34.29  | | End of split
% 197.27/34.29  | | 
% 197.27/34.29  | Case 2:
% 197.27/34.29  | | 
% 197.27/34.29  | |   (46)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 197.27/34.29  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.29  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 197.27/34.29  | |         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 197.27/34.29  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.27/34.29  | |           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) |
% 197.27/34.29  | |         (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 197.27/34.29  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.27/34.29  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.27/34.29  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.29  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.29  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.29  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 197.27/34.29  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 197.27/34.29  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.29  | |           $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 197.27/34.29  | |             e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.29  | |           all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9)
% 197.27/34.29  | |           & $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.27/34.29  | |             = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.29  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 197.27/34.29  | |           & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 197.27/34.29  | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 197.27/34.29  | |           op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.29  | |           $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1
% 197.27/34.29  | |           &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.27/34.29  | |           op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1
% 197.27/34.29  | |           & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 197.27/34.29  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.29  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 197.27/34.29  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.27/34.29  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.27/34.29  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.29  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.27/34.29  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.29  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.27/34.29  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 197.27/34.29  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.27/34.29  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.27/34.29  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.27/34.29  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.27/34.29  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.29  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.29  | |               $i(all_57_7))))
% 197.27/34.29  | | 
% 197.27/34.29  | | BETA: splitting (46) gives:
% 197.27/34.29  | | 
% 197.27/34.29  | | Case 1:
% 197.27/34.29  | | | 
% 197.27/34.29  | | |   (47)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.29  | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.29  | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.29  | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6
% 197.27/34.29  | | |             = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.27/34.29  | | |           all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.29  | | |           $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1
% 197.27/34.29  | | |           &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 197.27/34.29  | | |           all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0)
% 197.27/34.29  | | |           = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 197.27/34.29  | | |           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 197.27/34.29  | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.27/34.29  | | |           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 197.27/34.29  | | |         (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.29  | | |           (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.29  | | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.29  | | |           $i(all_57_13))
% 197.27/34.29  | | | 
% 197.27/34.29  | | | BETA: splitting (47) gives:
% 197.27/34.29  | | | 
% 197.27/34.29  | | | Case 1:
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | |   (48)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.29  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.29  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.29  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 197.27/34.29  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 197.27/34.29  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 197.27/34.29  | | | |           e2 & $i(all_57_6) & $i(all_57_12))
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | | REF_CLOSE: (6), (15), (21), (28), (29), (48) are inconsistent by
% 197.27/34.29  | | | |            sub-proof #1485.
% 197.27/34.29  | | | | 
% 197.27/34.29  | | | Case 2:
% 197.27/34.29  | | | | 
% 197.27/34.30  | | | |   (49)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.30  | | | |           (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.30  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.30  | | | |           $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 197.27/34.30  | | | |           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.27/34.30  | | | |           all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 197.27/34.30  | | | |           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.27/34.30  | | | |           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.27/34.30  | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 197.27/34.30  | | | |           op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.30  | | | | 
% 197.27/34.30  | | | | BETA: splitting (49) gives:
% 197.27/34.30  | | | | 
% 197.27/34.30  | | | | Case 1:
% 197.27/34.30  | | | | | 
% 197.27/34.30  | | | | |   (50)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.30  | | | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.30  | | | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.30  | | | | |         $i(all_57_12)
% 197.27/34.30  | | | | | 
% 197.27/34.30  | | | | | ALPHA: (50) implies:
% 197.27/34.30  | | | | |   (51)  op(e0, e0) = e1
% 197.27/34.30  | | | | | 
% 197.27/34.30  | | | | | REF_CLOSE: (6), (21), (29), (51) are inconsistent by sub-proof #1943.
% 197.27/34.30  | | | | | 
% 197.27/34.30  | | | | Case 2:
% 197.27/34.30  | | | | | 
% 197.27/34.30  | | | | |   (52)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.30  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 197.27/34.30  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.30  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.27/34.30  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.27/34.30  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.27/34.30  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.30  | | | | | 
% 197.27/34.30  | | | | | BETA: splitting (52) gives:
% 197.27/34.30  | | | | | 
% 197.27/34.30  | | | | | Case 1:
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | |   (53)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.30  | | | | | |         (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 197.27/34.30  | | | | | |         & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.30  | | | | | |         $i(all_57_11)
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | ALPHA: (53) implies:
% 197.27/34.30  | | | | | |   (54)  op(e2, e2) = e0
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | REF_CLOSE: (6), (27), (33), (54) are inconsistent by sub-proof
% 197.27/34.30  | | | | | |            #1939.
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | Case 2:
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | |   (55)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.30  | | | | | |         (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 197.27/34.30  | | | | | |         & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.30  | | | | | |         $i(all_57_13)
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | ALPHA: (55) implies:
% 197.27/34.30  | | | | | |   (56)  all_57_9 = e3
% 197.27/34.30  | | | | | |   (57)   ~ (all_57_13 = e1)
% 197.27/34.30  | | | | | |   (58)   ~ (all_57_10 = e0)
% 197.27/34.30  | | | | | |   (59)  op(e1, e0) = all_57_13
% 197.27/34.30  | | | | | |   (60)  op(e3, e0) = e3
% 197.27/34.30  | | | | | |   (61)  op(e3, e3) = all_57_10
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | GROUND_INST: instantiating (6) with all_52_14, all_57_13, e0, e1,
% 197.27/34.30  | | | | | |              simplifying with (12), (59) gives:
% 197.27/34.30  | | | | | |   (62)  all_57_13 = all_52_14
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | GROUND_INST: instantiating (6) with all_52_12, e3, e0, e3,
% 197.27/34.30  | | | | | |              simplifying with (26), (60) gives:
% 197.27/34.30  | | | | | |   (63)  all_52_12 = e3
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | GROUND_INST: instantiating (6) with e1, all_57_10, e3, e3,
% 197.27/34.30  | | | | | |              simplifying with (9), (61) gives:
% 197.27/34.30  | | | | | |   (64)  all_57_10 = e1
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | REDUCE: (57), (62) imply:
% 197.27/34.30  | | | | | |   (65)   ~ (all_52_14 = e1)
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | REDUCE: (8), (63) imply:
% 197.27/34.30  | | | | | |   (66)   ~ (all_52_13 = e3)
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | SIMP: (66) implies:
% 197.27/34.30  | | | | | |   (67)   ~ (all_52_13 = e3)
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | BETA: splitting (14) gives:
% 197.27/34.30  | | | | | | 
% 197.27/34.30  | | | | | | Case 1:
% 197.27/34.30  | | | | | | | 
% 197.27/34.30  | | | | | | |   (68)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 &
% 197.27/34.30  | | | | | | |           op(e1, e2) = e1)
% 197.27/34.30  | | | | | | | 
% 197.27/34.30  | | | | | | | BETA: splitting (68) gives:
% 197.27/34.30  | | | | | | | 
% 197.27/34.30  | | | | | | | Case 1:
% 197.27/34.30  | | | | | | | | 
% 197.27/34.30  | | | | | | | |   (69)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.30  | | | | | | | | 
% 197.27/34.30  | | | | | | | | ALPHA: (69) implies:
% 197.27/34.30  | | | | | | | |   (70)  op(e1, e3) = e1
% 197.27/34.30  | | | | | | | | 
% 197.27/34.30  | | | | | | | | REF_CLOSE: (1), (6), (25), (70) are inconsistent by sub-proof
% 197.27/34.30  | | | | | | | |            #1974.
% 197.27/34.30  | | | | | | | | 
% 197.27/34.30  | | | | | | | Case 2:
% 197.27/34.30  | | | | | | | | 
% 197.27/34.30  | | | | | | | |   (71)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.30  | | | | | | | | 
% 197.27/34.30  | | | | | | | | ALPHA: (71) implies:
% 197.27/34.30  | | | | | | | |   (72)  op(e1, e2) = e1
% 197.27/34.30  | | | | | | | | 
% 197.27/34.30  | | | | | | | | BETA: splitting (20) gives:
% 197.27/34.30  | | | | | | | | 
% 197.27/34.30  | | | | | | | | Case 1:
% 197.27/34.30  | | | | | | | | | 
% 197.27/34.30  | | | | | | | | |   (73)  all_54_7 = e3
% 197.27/34.30  | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | REF_CLOSE: (3), (67), (73) are inconsistent by sub-proof
% 197.27/34.30  | | | | | | | | |            #1484.
% 197.27/34.30  | | | | | | | | | 
% 197.27/34.30  | | | | | | | | Case 2:
% 197.27/34.30  | | | | | | | | | 
% 197.27/34.30  | | | | | | | | |   (74)   ~ (all_54_7 = e3)
% 197.27/34.30  | | | | | | | | |   (75)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 197.27/34.30  | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | BETA: splitting (75) gives:
% 197.27/34.30  | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | Case 1:
% 197.27/34.30  | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | |   (76)  all_54_7 = e2
% 197.27/34.30  | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | REF_CLOSE: (3), (5), (76) are inconsistent by sub-proof
% 197.27/34.30  | | | | | | | | | |            #1483.
% 197.27/34.30  | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | Case 2:
% 197.27/34.30  | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | |   (77)   ~ (all_54_7 = e2)
% 197.27/34.30  | | | | | | | | | |   (78)  all_54_7 = e1 | all_54_7 = e0
% 197.27/34.30  | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | BETA: splitting (78) gives:
% 197.27/34.30  | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | Case 1:
% 197.27/34.30  | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | |   (79)  all_54_7 = e1
% 197.27/34.30  | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | COMBINE_EQS: (3), (79) imply:
% 197.27/34.30  | | | | | | | | | | |   (80)  all_52_13 = e1
% 197.27/34.30  | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | SIMP: (80) implies:
% 197.27/34.30  | | | | | | | | | | |   (81)  all_52_13 = e1
% 197.27/34.30  | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | REDUCE: (32), (81) imply:
% 197.27/34.30  | | | | | | | | | | |   (82)   ~ (all_52_9 = e1)
% 197.27/34.30  | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | REDUCE: (67), (81) imply:
% 197.27/34.30  | | | | | | | | | | |   (83)   ~ (e3 = e1)
% 197.27/34.30  | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | SIMP: (83) implies:
% 197.27/34.30  | | | | | | | | | | |   (84)   ~ (e3 = e1)
% 197.27/34.30  | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | REDUCE: (5), (81) imply:
% 197.27/34.30  | | | | | | | | | | |   (85)   ~ (e2 = e1)
% 197.27/34.30  | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | BETA: splitting (2) gives:
% 197.27/34.30  | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | Case 1:
% 197.27/34.30  | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | |   (86)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.27/34.30  | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.27/34.30  | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.27/34.30  | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.30  | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.30  | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.30  | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.27/34.30  | | | | | | | | | | | |           op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.27/34.30  | | | | | | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.27/34.30  | | | | | | | | | | | |               e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.27/34.30  | | | | | | | | | | | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.27/34.30  | | | | | | | | | | | |               & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.30  | | | | | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.27/34.30  | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.27/34.30  | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.30  | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.30  | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.30  | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.27/34.30  | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.27/34.30  | | | | | | | | | | | |           op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.27/34.30  | | | | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.30  | | | | | | | | | | | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.30  | | | | | | | | | | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.27/34.30  | | | | | | | | | | | |               & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.30  | | | | | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.27/34.30  | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.27/34.30  | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.30  | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.30  | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.30  | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.30  | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.30  | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.27/34.30  | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.27/34.30  | | | | | | | | | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.27/34.30  | | | | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.30  | | | | | | | | | | | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.30  | | | | | | | | | | | |               all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.27/34.30  | | | | | | | | | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.27/34.30  | | | | | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.27/34.30  | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.27/34.30  | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.30  | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.27/34.30  | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.30  | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.27/34.30  | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.27/34.30  | | | | | | | | | | | |           op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.27/34.30  | | | | | | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.30  | | | | | | | | | | | |               e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.30  | | | | | | | | | | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.27/34.30  | | | | | | | | | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.27/34.30  | | | | | | | | | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.27/34.30  | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | BETA: splitting (86) gives:
% 197.27/34.30  | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | Case 1:
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | |   (87)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.27/34.30  | | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.27/34.30  | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.30  | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.30  | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.30  | | | | | | | | | | | | |                 e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | | |                 e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.30  | | | | | | | | | | | | |         (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.27/34.30  | | | | | | | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.27/34.30  | | | | | | | | | | | | |               e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.27/34.30  | | | | | | | | | | | | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.27/34.30  | | | | | | | | | | | | |               & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.30  | | | | | | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.30  | | | | | | | | | | | | |         (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.27/34.30  | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.30  | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.30  | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.30  | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.30  | | | | | | | | | | | | |                 e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | | |                 e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.30  | | | | | | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.27/34.30  | | | | | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.30  | | | | | | | | | | | | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.30  | | | | | | | | | | | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.27/34.30  | | | | | | | | | | | | |               & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.30  | | | | | | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | BETA: splitting (87) gives:
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | Case 1:
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | |   (88)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.27/34.30  | | | | | | | | | | | | | |           e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.27/34.30  | | | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.30  | | | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.30  | | | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.30  | | | | | | | | | | | | | |                 e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | | | |                 e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.30  | | | | | | | | | | | | | |         (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.27/34.30  | | | | | | | | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.27/34.30  | | | | | | | | | | | | | |               e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.27/34.30  | | | | | | | | | | | | | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.27/34.30  | | | | | | | | | | | | | |               & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.30  | | | | | | | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (9), (18), (22), (88) are inconsistent
% 197.27/34.30  | | | | | | | | | | | | | |            by sub-proof #1893.
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | Case 2:
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | |   (89)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.27/34.30  | | | | | | | | | | | | | |           e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.30  | | | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.30  | | | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.30  | | | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.30  | | | | | | | | | | | | | |                 e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | | | |                 e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.30  | | | | | | | | | | | | | |         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.27/34.30  | | | | | | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.30  | | | | | | | | | | | | | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.30  | | | | | | | | | | | | | |               all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.27/34.30  | | | | | | | | | | | | | |               & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.27/34.30  | | | | | | | | | | | | | |               op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (19), (25), (26), (31), (60), (89) are
% 197.27/34.30  | | | | | | | | | | | | | |            inconsistent by sub-proof #1482.
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | End of split
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | Case 2:
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | |   (90)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.27/34.30  | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.30  | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.30  | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.30  | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.30  | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.30  | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.30  | | | | | | | | | | | | |         (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.27/34.30  | | | | | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.30  | | | | | | | | | | | | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.30  | | | | | | | | | | | | |               all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.27/34.30  | | | | | | | | | | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.27/34.30  | | | | | | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.27/34.30  | | | | | | | | | | | | |         (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.27/34.30  | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.30  | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.27/34.30  | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.30  | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.30  | | | | | | | | | | | | |                 e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | | |                 e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.30  | | | | | | | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.27/34.30  | | | | | | | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.30  | | | | | | | | | | | | |               e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.30  | | | | | | | | | | | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.27/34.30  | | | | | | | | | | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.27/34.30  | | | | | | | | | | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | BETA: splitting (90) gives:
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | Case 1:
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | |   (91)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.27/34.30  | | | | | | | | | | | | | |           e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.30  | | | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.30  | | | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.30  | | | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.30  | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.30  | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.30  | | | | | | | | | | | | | |         (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.27/34.30  | | | | | | | | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.30  | | | | | | | | | | | | | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.27/34.30  | | | | | | | | | | | | | |               all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.27/34.30  | | | | | | | | | | | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.27/34.30  | | | | | | | | | | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))))
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10), (21), (24), (91) are inconsistent
% 197.27/34.30  | | | | | | | | | | | | | |            by sub-proof #1891.
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | Case 2:
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | |   (92)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.27/34.30  | | | | | | | | | | | | | |           e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.27/34.30  | | | | | | | | | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.27/34.30  | | | | | | | | | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.30  | | | | | | | | | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.30  | | | | | | | | | | | | | |                 e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | | | |                 e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.30  | | | | | | | | | | | | | |         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.27/34.30  | | | | | | | | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.30  | | | | | | | | | | | | | |               e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.30  | | | | | | | | | | | | | |               all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.27/34.30  | | | | | | | | | | | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.27/34.30  | | | | | | | | | | | | | |               op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | | REF_CLOSE: (6), (22), (27), (28), (82), (92) are inconsistent
% 197.27/34.30  | | | | | | | | | | | | | |            by sub-proof #1481.
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | End of split
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | End of split
% 197.27/34.30  | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | Case 2:
% 197.27/34.30  | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | |   (93)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.27/34.30  | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.27/34.30  | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.30  | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.30  | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.30  | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.30  | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.30  | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.27/34.30  | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.27/34.30  | | | | | | | | | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.27/34.30  | | | | | | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.30  | | | | | | | | | | | |               e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.30  | | | | | | | | | | | |               all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.27/34.30  | | | | | | | | | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.27/34.30  | | | | | | | | | | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.27/34.30  | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.27/34.30  | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.30  | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.30  | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.30  | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.27/34.30  | | | | | | | | | | | |                 e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.27/34.30  | | | | | | | | | | | |                 e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.27/34.30  | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.27/34.30  | | | | | | | | | | | |           op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.27/34.30  | | | | | | | | | | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.27/34.30  | | | | | | | | | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.27/34.30  | | | | | | | | | | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.27/34.30  | | | | | | | | | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.27/34.30  | | | | | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.27/34.30  | | | | | | | | | | | |               e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.27/34.30  | | | | | | | | | | | |               & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.30  | | | | | | | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.30  | | | | | | | | | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.27/34.30  | | | | | | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.27/34.30  | | | | | | | | | | | |               e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.27/34.30  | | | | | | | | | | | |               & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.30  | | | | | | | | | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.30  | | | | | | | | | | | |               (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.30  | | | | | | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.27/34.30  | | | | | | | | | | | |               e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.27/34.30  | | | | | | | | | | | |               & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.30  | | | | | | | | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.30  | | | | | | | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.30  | | | | | | | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.30  | | | | | | | | | | | |                 e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.30  | | | | | | | | | | | |         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.27/34.30  | | | | | | | | | | | |               e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.27/34.30  | | | | | | | | | | | |               & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.30  | | | | | | | | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.30  | | | | | | | | | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.30  | | | | | | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.30  | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.30  | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.30  | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | BETA: splitting (93) gives:
% 197.27/34.30  | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | Case 1:
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | |   (94)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.27/34.30  | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.30  | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.30  | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.30  | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.30  | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.30  | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.30  | | | | | | | | | | | | |         (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.27/34.30  | | | | | | | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.30  | | | | | | | | | | | | |               e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.30  | | | | | | | | | | | | |               all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.27/34.30  | | | | | | | | | | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.27/34.30  | | | | | | | | | | | | |               op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.27/34.30  | | | | | | | | | | | | |         (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.27/34.30  | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.30  | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.30  | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.30  | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.27/34.30  | | | | | | | | | | | | |                 e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.27/34.30  | | | | | | | | | | | | |                 e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.30  | | | | | | | | | | | | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.27/34.30  | | | | | | | | | | | | |           op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.27/34.30  | | | | | | | | | | | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.27/34.30  | | | | | | | | | | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.27/34.30  | | | | | | | | | | | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.27/34.30  | | | | | | | | | | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.27/34.30  | | | | | | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | BETA: splitting (94) gives:
% 197.27/34.30  | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | Case 1:
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | |   (95)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.27/34.30  | | | | | | | | | | | | | |           e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.30  | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.30  | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.30  | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.30  | | | | | | | | | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.30  | | | | | | | | | | | | | |                 e0) = all_57_13 & $i(all_57_13)))) |
% 197.27/34.30  | | | | | | | | | | | | | |         (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.27/34.30  | | | | | | | | | | | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.27/34.30  | | | | | | | | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.30  | | | | | | | | | | | | | |               e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.27/34.30  | | | | | | | | | | | | | |               all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.27/34.30  | | | | | | | | | | | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.27/34.30  | | | | | | | | | | | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))))
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (11), (17), (33), (72), (95) are
% 197.27/34.30  | | | | | | | | | | | | | |            inconsistent by sub-proof #1480.
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.30  | | | | | | | | | | | | | Case 2:
% 197.27/34.30  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | |   (96)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.27/34.31  | | | | | | | | | | | | | |           op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.27/34.31  | | | | | | | | | | | | | |           e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.31  | | | | | | | | | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.31  | | | | | | | | | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.31  | | | | | | | | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.27/34.31  | | | | | | | | | | | | | |                 e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.27/34.31  | | | | | | | | | | | | | |                 e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.31  | | | | | | | | | | | | | |         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.27/34.31  | | | | | | | | | | | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.27/34.31  | | | | | | | | | | | | | |           op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.27/34.31  | | | | | | | | | | | | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.27/34.31  | | | | | | | | | | | | | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.27/34.31  | | | | | | | | | | | | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.27/34.31  | | | | | | | | | | | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.27/34.31  | | | | | | | | | | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.27/34.31  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 197.27/34.31  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | Case 1:
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | |   (97)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.27/34.31  | | | | | | | | | | | | | | |         op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.27/34.31  | | | | | | | | | | | | | | |         e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.31  | | | | | | | | | | | | | | |         ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.27/34.31  | | | | | | | | | | | | | | |             (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.31  | | | | | | | | | | | | | | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2)
% 197.27/34.31  | | | | | | | | | | | | | | |             = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.27/34.31  | | | | | | | | | | | | | | |             all_57_11 & $i(all_57_11)))
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | | ALPHA: (97) implies:
% 197.27/34.31  | | | | | | | | | | | | | | |   (98)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 197.27/34.31  | | | | | | | | | | | | | | |             = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (21), (56), (98) are inconsistent by
% 197.27/34.31  | | | | | | | | | | | | | | |            sub-proof #1479.
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | Case 2:
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | |   (99)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.27/34.31  | | | | | | | | | | | | | | |         op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0,
% 197.27/34.31  | | | | | | | | | | | | | | |           e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.27/34.31  | | | | | | | | | | | | | | |         ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.27/34.31  | | | | | | | | | | | | | | |             (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.31  | | | | | | | | | | | | | | |             $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2)
% 197.27/34.31  | | | | | | | | | | | | | | |             = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 197.27/34.31  | | | | | | | | | | | | | | |             all_57_7 & $i(all_57_7)))
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | | ALPHA: (99) implies:
% 197.27/34.31  | | | | | | | | | | | | | | |   (100)  op(e1, e0) = e0
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12), (100) are inconsistent by
% 197.27/34.31  | | | | | | | | | | | | | | |            sub-proof #1884.
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | End of split
% 197.27/34.31  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | End of split
% 197.27/34.31  | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | Case 2:
% 197.27/34.31  | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | |   (101)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.27/34.31  | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.27/34.31  | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.31  | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.31  | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.27/34.31  | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.27/34.31  | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.27/34.31  | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.31  | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.27/34.31  | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.27/34.31  | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.31  | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.31  | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.31  | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.31  | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.31  | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.31  | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.27/34.31  | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.27/34.31  | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.31  | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.31  | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.31  | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.31  | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.31  | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.31  | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.27/34.31  | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.27/34.31  | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.31  | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.31  | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.31  | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.31  | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.31  | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.31  | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | BETA: splitting (101) gives:
% 197.27/34.31  | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | Case 1:
% 197.27/34.31  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | |   (102)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.27/34.31  | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.27/34.31  | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.31  | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.31  | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.27/34.31  | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.27/34.31  | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.27/34.31  | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.31  | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.27/34.31  | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.27/34.31  | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.31  | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.31  | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.27/34.31  | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.27/34.31  | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.31  | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 197.27/34.31  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (17), (33), (72), (84), (102) are
% 197.27/34.31  | | | | | | | | | | | | | |            inconsistent by sub-proof #1478.
% 197.27/34.31  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | Case 2:
% 197.27/34.31  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | |   (103)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.27/34.31  | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.27/34.31  | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.31  | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.31  | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.31  | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.27/34.31  | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.27/34.31  | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.31  | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.27/34.31  | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.27/34.31  | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.31  | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.31  | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.31  | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.31  | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.31  | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.31  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 197.27/34.31  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | Case 1:
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | |   (104)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.27/34.31  | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 197.27/34.31  | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.31  | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.27/34.31  | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.31  | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 197.27/34.31  | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.27/34.31  | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | | ALPHA: (104) implies:
% 197.27/34.31  | | | | | | | | | | | | | | |   (105)  op(e1, e1) = e1
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | | REF_CLOSE: (6), (17), (21), (105) are inconsistent by
% 197.27/34.31  | | | | | | | | | | | | | | |            sub-proof #1959.
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | Case 2:
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | |   (106)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.27/34.31  | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 197.27/34.31  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.31  | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.31  | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.27/34.31  | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.27/34.31  | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.27/34.31  | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | | ALPHA: (106) implies:
% 197.27/34.31  | | | | | | | | | | | | | | |   (107)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 197.27/34.31  | | | | | | | | | | | | | | |              = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (21), (56), (107) are inconsistent by
% 197.27/34.31  | | | | | | | | | | | | | | |            sub-proof #1479.
% 197.27/34.31  | | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | | End of split
% 197.27/34.31  | | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | | End of split
% 197.27/34.31  | | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | | End of split
% 197.27/34.31  | | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | End of split
% 197.27/34.31  | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | Case 2:
% 197.27/34.31  | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | |   (108)  all_54_7 = e0
% 197.27/34.31  | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | | REF_CLOSE: (3), (30), (108) are inconsistent by sub-proof
% 197.27/34.31  | | | | | | | | | | |            #1477.
% 197.27/34.31  | | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | | End of split
% 197.27/34.31  | | | | | | | | | | 
% 197.27/34.31  | | | | | | | | | End of split
% 197.27/34.31  | | | | | | | | | 
% 197.27/34.31  | | | | | | | | End of split
% 197.27/34.31  | | | | | | | | 
% 197.27/34.31  | | | | | | | End of split
% 197.27/34.31  | | | | | | | 
% 197.27/34.31  | | | | | | Case 2:
% 197.27/34.31  | | | | | | | 
% 197.27/34.31  | | | | | | |   (109)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 &
% 197.27/34.31  | | | | | | |            op(e1, e0) = e1)
% 197.27/34.31  | | | | | | | 
% 197.27/34.31  | | | | | | | REF_CLOSE: (6), (12), (17), (21), (65), (109) are inconsistent by
% 197.27/34.31  | | | | | | |            sub-proof #1528.
% 197.27/34.31  | | | | | | | 
% 197.27/34.31  | | | | | | End of split
% 197.27/34.31  | | | | | | 
% 197.27/34.31  | | | | | End of split
% 197.27/34.31  | | | | | 
% 197.27/34.31  | | | | End of split
% 197.27/34.31  | | | | 
% 197.27/34.31  | | | End of split
% 197.27/34.31  | | | 
% 197.27/34.31  | | Case 2:
% 197.27/34.31  | | | 
% 197.27/34.31  | | |   (110)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.31  | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.31  | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.31  | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 197.27/34.31  | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.27/34.31  | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 197.27/34.31  | | |            e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 197.27/34.31  | | |            all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 197.27/34.31  | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.27/34.31  | | |            op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.27/34.31  | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.27/34.31  | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.31  | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.31  | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.31  | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.27/34.31  | | |                (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 197.27/34.31  | | |                & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.27/34.31  | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.27/34.31  | | |                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.31  | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.31  | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.27/34.31  | | |                op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.31  | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.31  | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 197.27/34.31  | | |                & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.31  | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) &
% 197.27/34.31  | | |                op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.27/34.31  | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.27/34.31  | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.27/34.31  | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.31  | | | 
% 197.27/34.31  | | | BETA: splitting (110) gives:
% 197.27/34.31  | | | 
% 197.27/34.31  | | | Case 1:
% 197.27/34.31  | | | | 
% 197.27/34.31  | | | |   (111)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.31  | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.31  | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.31  | | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 197.27/34.31  | | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.27/34.31  | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 197.27/34.31  | | | |            e1 & $i(all_57_9) & $i(all_57_14))
% 197.27/34.31  | | | | 
% 197.27/34.31  | | | | REF_CLOSE: (6), (9), (21), (111) are inconsistent by sub-proof #1936.
% 197.27/34.31  | | | | 
% 197.27/34.31  | | | Case 2:
% 197.27/34.31  | | | | 
% 197.27/34.31  | | | |   (112)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.27/34.31  | | | |            (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.27/34.31  | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.31  | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 197.27/34.31  | | | |            (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.27/34.31  | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0)
% 197.27/34.31  | | | |            = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.27/34.31  | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3
% 197.27/34.31  | | | |                &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.27/34.31  | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.31  | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.27/34.31  | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.27/34.31  | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.31  | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.31  | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.27/34.31  | | | |                op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.31  | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.31  | | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.27/34.31  | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.31  | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 197.27/34.31  | | | |                & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 197.27/34.31  | | | |                e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.27/34.31  | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.27/34.31  | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.31  | | | | 
% 197.27/34.31  | | | | BETA: splitting (112) gives:
% 197.27/34.31  | | | | 
% 197.27/34.31  | | | | Case 1:
% 197.27/34.31  | | | | | 
% 197.27/34.31  | | | | |   (113)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.27/34.31  | | | | |          (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.27/34.31  | | | | |          op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.31  | | | | |          $i(all_57_13)
% 197.27/34.31  | | | | | 
% 197.27/34.31  | | | | | ALPHA: (113) implies:
% 197.27/34.31  | | | | |   (114)  op(e2, e0) = e2
% 197.27/34.31  | | | | | 
% 197.27/34.31  | | | | | REF_CLOSE: (5), (6), (11), (114) are inconsistent by sub-proof #1662.
% 197.27/34.31  | | | | | 
% 197.27/34.31  | | | | Case 2:
% 197.27/34.31  | | | | | 
% 197.27/34.31  | | | | |   (115)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.27/34.31  | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.31  | | | | |            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11)
% 197.27/34.31  | | | | |            & $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15)
% 197.27/34.31  | | | | |            & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) & 
% 197.27/34.31  | | | | |                ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2)
% 197.27/34.31  | | | | |                = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.27/34.31  | | | | |                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.27/34.31  | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.31  | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.27/34.31  | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.27/34.31  | | | | |                  e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.27/34.31  | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.27/34.31  | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.27/34.31  | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.31  | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.31  | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.27/34.31  | | | | |                  e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.31  | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.27/34.31  | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.27/34.31  | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.27/34.31  | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.31  | | | | | 
% 197.27/34.31  | | | | | REF_CLOSE: (6), (7), (9), (16), (17), (18), (22), (23), (27), (33),
% 197.27/34.31  | | | | |            (34), (115) are inconsistent by sub-proof #1472.
% 197.27/34.31  | | | | | 
% 197.27/34.31  | | | | End of split
% 197.27/34.31  | | | | 
% 197.27/34.31  | | | End of split
% 197.27/34.31  | | | 
% 197.27/34.31  | | End of split
% 197.27/34.31  | | 
% 197.27/34.31  | End of split
% 197.27/34.31  | 
% 197.27/34.31  End of proof
% 197.27/34.31  
% 197.27/34.31  Sub-proof #1472 shows that the following formulas are inconsistent:
% 197.27/34.31  ----------------------------------------------------------------
% 197.27/34.31    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.31    (2)  op(e2, e2) = all_4_2
% 197.27/34.31    (3)  op(e3, e3) = e1
% 197.27/34.31    (4)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 197.27/34.31             e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 197.27/34.31           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0,
% 197.27/34.31             e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 & 
% 197.27/34.31               ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.27/34.31               op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.27/34.31               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.27/34.31               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.31               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.27/34.31                 e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.31               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.27/34.31               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 197.27/34.31                 e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.27/34.31               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 197.27/34.31                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.27/34.31               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.27/34.31               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 197.27/34.31                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.31               $i(all_57_7))))
% 197.27/34.31    (5)  op(e0, e1) = all_52_11
% 197.27/34.31    (6)  op(e1, e1) = e0
% 197.27/34.31    (7)   ~ (all_4_2 = e3)
% 197.27/34.31    (8)   ~ (e2 = e1)
% 197.27/34.31    (9)   ~ (all_52_11 = e0)
% 197.27/34.31    (10)  op(e2, e2) = e2
% 197.27/34.31    (11)   ~ (e2 = e0)
% 197.27/34.31    (12)   ~ (e3 = e0)
% 197.27/34.31  
% 197.27/34.31  Begin of proof
% 197.27/34.31  | 
% 197.27/34.31  | BETA: splitting (4) gives:
% 197.27/34.31  | 
% 197.27/34.31  | Case 1:
% 197.27/34.31  | | 
% 197.27/34.31  | |   (13)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.27/34.31  | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1,
% 197.27/34.31  | |           e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 197.27/34.31  | | 
% 197.27/34.31  | | ALPHA: (13) implies:
% 197.27/34.31  | |   (14)   ~ (all_57_14 = e0)
% 197.27/34.31  | |   (15)  op(e1, e1) = all_57_14
% 197.27/34.31  | | 
% 197.27/34.31  | | REF_CLOSE: (1), (6), (14), (15) are inconsistent by sub-proof #1636.
% 197.27/34.31  | | 
% 197.27/34.31  | Case 2:
% 197.27/34.31  | | 
% 197.27/34.31  | |   (16)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 197.27/34.31  | |             = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.27/34.31  | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 197.27/34.31  | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.31  | |             (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.31  | |             op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.27/34.31  | |             e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.27/34.31  | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.31  | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.31  | |             (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.31  | |             op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 197.27/34.31  | |             e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 197.27/34.31  | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.27/34.31  | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.27/34.31  | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.27/34.31  | |             op(e0, e1) = e0 & $i(all_57_7)))
% 197.27/34.31  | | 
% 197.27/34.31  | | ALPHA: (16) implies:
% 197.27/34.31  | |   (17)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 197.27/34.31  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.27/34.31  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.27/34.31  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 197.27/34.31  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 197.27/34.31  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.27/34.31  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.27/34.31  | |           $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.27/34.31  | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.27/34.31  | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 197.27/34.31  | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 197.27/34.31  | |           & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.27/34.31  | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 197.27/34.31  | |             = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 197.27/34.31  | |           e0 & $i(all_57_7))
% 197.27/34.31  | | 
% 197.27/34.31  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (17)
% 197.27/34.31  | |            are inconsistent by sub-proof #1473.
% 197.27/34.31  | | 
% 197.27/34.31  | End of split
% 197.27/34.31  | 
% 197.27/34.31  End of proof
% 197.27/34.31  
% 197.27/34.31  Sub-proof #1473 shows that the following formulas are inconsistent:
% 197.27/34.31  ----------------------------------------------------------------
% 197.27/34.31    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.31    (2)  op(e2, e2) = all_4_2
% 197.27/34.31    (3)  op(e3, e3) = e1
% 197.27/34.31    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.27/34.31             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.31           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.27/34.31           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.27/34.31             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.31           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.31           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.27/34.31           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.27/34.31           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.31           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.27/34.31           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.27/34.31         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.27/34.31             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.31           $i(all_57_7))
% 197.27/34.31    (5)  op(e0, e1) = all_52_11
% 197.27/34.31    (6)  op(e1, e1) = e0
% 197.27/34.31    (7)   ~ (all_4_2 = e3)
% 197.27/34.31    (8)   ~ (e2 = e1)
% 197.27/34.31    (9)   ~ (all_52_11 = e0)
% 197.27/34.31    (10)  op(e2, e2) = e2
% 197.27/34.31    (11)   ~ (e2 = e0)
% 197.27/34.31    (12)   ~ (e3 = e0)
% 197.27/34.31  
% 197.27/34.31  Begin of proof
% 197.27/34.31  | 
% 197.27/34.31  | BETA: splitting (4) gives:
% 197.27/34.31  | 
% 197.27/34.31  | Case 1:
% 197.27/34.31  | | 
% 197.27/34.31  | |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 197.27/34.31  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.27/34.31  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.27/34.31  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 197.27/34.31  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 197.27/34.31  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.27/34.31  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.27/34.31  | |           $i(all_57_3))
% 197.27/34.31  | | 
% 197.27/34.31  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (12), (13) are inconsistent by
% 197.27/34.31  | |            sub-proof #1475.
% 197.27/34.31  | | 
% 197.27/34.31  | Case 2:
% 197.27/34.31  | | 
% 197.27/34.31  | |   (14)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.31  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.27/34.31  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.31  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.27/34.31  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.27/34.31  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.31  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.31  | |           $i(all_57_7))
% 197.27/34.31  | | 
% 197.27/34.31  | | BETA: splitting (14) gives:
% 197.27/34.31  | | 
% 197.27/34.31  | | Case 1:
% 197.27/34.31  | | | 
% 197.27/34.31  | | |   (15)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.31  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.31  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 197.27/34.31  | | | 
% 197.27/34.31  | | | ALPHA: (15) implies:
% 197.27/34.31  | | |   (16)  op(e1, e1) = e2
% 197.27/34.31  | | | 
% 197.27/34.31  | | | REF_CLOSE: (1), (6), (11), (16) are inconsistent by sub-proof #1821.
% 197.27/34.31  | | | 
% 197.27/34.31  | | Case 2:
% 197.27/34.31  | | | 
% 197.27/34.31  | | |   (17)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.27/34.31  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.31  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.27/34.31  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 197.27/34.31  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.27/34.31  | | | 
% 197.27/34.31  | | | REF_CLOSE: (1), (5), (8), (9), (10), (17) are inconsistent by sub-proof
% 197.27/34.31  | | |            #1474.
% 197.27/34.31  | | | 
% 197.27/34.31  | | End of split
% 197.27/34.31  | | 
% 197.27/34.31  | End of split
% 197.27/34.31  | 
% 197.27/34.31  End of proof
% 197.27/34.31  
% 197.27/34.31  Sub-proof #1474 shows that the following formulas are inconsistent:
% 197.27/34.31  ----------------------------------------------------------------
% 197.27/34.31    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.32    (2)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.27/34.32             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.27/34.32           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 197.27/34.32           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 197.27/34.32             e1) = e0 & $i(all_57_7))
% 197.27/34.32    (3)  op(e0, e1) = all_52_11
% 197.27/34.32    (4)   ~ (e2 = e1)
% 197.27/34.32    (5)   ~ (all_52_11 = e0)
% 197.27/34.32    (6)  op(e2, e2) = e2
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | BETA: splitting (2) gives:
% 197.27/34.32  | 
% 197.27/34.32  | Case 1:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.27/34.32  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.27/34.32  | |        $i(all_57_6)
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (7) implies:
% 197.27/34.32  | |   (8)  op(e0, e1) = e0
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1931.
% 197.27/34.32  | | 
% 197.27/34.32  | Case 2:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.27/34.32  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.32  | |        $i(all_57_7)
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (9) implies:
% 197.27/34.32  | |   (10)  op(e2, e2) = e1
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1783.
% 197.27/34.32  | | 
% 197.27/34.32  | End of split
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1475 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.32    (2)  op(e2, e2) = all_4_2
% 197.27/34.32    (3)  op(e3, e3) = e1
% 197.27/34.32    (4)  op(e1, e1) = e0
% 197.27/34.32    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.27/34.32             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.32           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.27/34.32           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.27/34.32             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.32           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.32           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.27/34.32    (6)   ~ (all_4_2 = e3)
% 197.27/34.32    (7)   ~ (e2 = e1)
% 197.27/34.32    (8)   ~ (e3 = e0)
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | BETA: splitting (5) gives:
% 197.27/34.32  | 
% 197.27/34.32  | Case 1:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (9)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.27/34.32  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.32  | |        $i(all_57_0)
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (9) implies:
% 197.27/34.32  | |   (10)  op(e2, e2) = e3
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1975.
% 197.27/34.32  | | 
% 197.27/34.32  | Case 2:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (11)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 197.27/34.32  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 197.27/34.32  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.32  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 197.27/34.32  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (3), (4), (7), (8), (11) are inconsistent by sub-proof
% 197.27/34.32  | |            #1476.
% 197.27/34.32  | | 
% 197.27/34.32  | End of split
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1476 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.32    (2)  op(e3, e3) = e1
% 197.27/34.32    (3)  op(e1, e1) = e0
% 197.27/34.32    (4)   ~ (e2 = e1)
% 197.27/34.32    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.27/34.32             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.32           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.27/34.32           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 197.27/34.32             e2) = e0 & $i(all_57_3))
% 197.27/34.32    (6)   ~ (e3 = e0)
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | BETA: splitting (5) gives:
% 197.27/34.32  | 
% 197.27/34.32  | Case 1:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.27/34.32  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.32  | |        $i(all_57_1)
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (7) implies:
% 197.27/34.32  | |   (8)  op(e1, e1) = e3
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1824.
% 197.27/34.32  | | 
% 197.27/34.32  | Case 2:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.27/34.32  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.27/34.32  | |        $i(all_57_3)
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (9) implies:
% 197.27/34.32  | |   (10)  op(e3, e3) = e2
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1934.
% 197.27/34.32  | | 
% 197.27/34.32  | End of split
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1477 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)  all_54_7 = all_52_13
% 197.27/34.32    (2)  all_54_7 = e0
% 197.27/34.32    (3)   ~ (all_52_13 = e0)
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.32  |   (4)  all_52_13 = e0
% 197.27/34.32  | 
% 197.27/34.32  | SIMP: (4) implies:
% 197.27/34.32  |   (5)  all_52_13 = e0
% 197.27/34.32  | 
% 197.27/34.32  | REDUCE: (3), (5) imply:
% 197.27/34.32  |   (6)  $false
% 197.27/34.32  | 
% 197.27/34.32  | CLOSE: (6) is inconsistent.
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1478 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)  op(e1, e2) = e1
% 197.27/34.32    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.32    (3)  op(e3, e3) = e1
% 197.27/34.32    (4)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.32             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.32           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.32               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.32             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.32         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.27/34.32             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.32           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.32               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.32             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.27/34.32    (5)  op(e1, e1) = e0
% 197.27/34.32    (6)   ~ (e3 = e1)
% 197.27/34.32    (7)   ~ (e2 = e0)
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | BETA: splitting (4) gives:
% 197.27/34.32  | 
% 197.27/34.32  | Case 1:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (8)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 197.27/34.32  | |            e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.27/34.32  | |            $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.32  | |            (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.27/34.32  | |        ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.27/34.32  | |              e3) = all_57_2 & $i(all_57_2)))
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (8) implies:
% 197.27/34.32  | |   (9)  op(e3, e3) = e3
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (2), (3), (6), (9) are inconsistent by sub-proof #1966.
% 197.27/34.32  | | 
% 197.27/34.32  | Case 2:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (10)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 197.27/34.32  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.27/34.32  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.27/34.32  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.27/34.32  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.27/34.32  | |               e2) = all_57_5 & $i(all_57_5)))
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (10) implies:
% 197.27/34.32  | |   (11)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 197.27/34.32  | |             e2) = all_57_4 & $i(all_57_4))
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (2), (5), (7), (11) are inconsistent by sub-proof #1513.
% 197.27/34.32  | | 
% 197.27/34.32  | End of split
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1479 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.32    (2)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 197.27/34.32           all_57_9 & $i(all_57_9))
% 197.27/34.32    (3)  op(e3, e3) = e1
% 197.27/34.32    (4)  all_57_9 = e3
% 197.27/34.32    (5)   ~ (e1 = e0)
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | BETA: splitting (2) gives:
% 197.27/34.32  | 
% 197.27/34.32  | Case 1:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (6)  all_57_10 = e0 & op(e3, e3) = e0
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (6) implies:
% 197.27/34.32  | |   (7)  op(e3, e3) = e0
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #1937.
% 197.27/34.32  | | 
% 197.27/34.32  | Case 2:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (8)   ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (8) implies:
% 197.27/34.32  | |   (9)   ~ (all_57_9 = e3)
% 197.27/34.32  | | 
% 197.27/34.32  | | REDUCE: (4), (9) imply:
% 197.27/34.32  | |   (10)  $false
% 197.27/34.32  | | 
% 197.27/34.32  | | CLOSE: (10) is inconsistent.
% 197.27/34.32  | | 
% 197.27/34.32  | End of split
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1480 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)  op(e1, e2) = e1
% 197.27/34.32    (2)   ~ (all_52_13 = e2)
% 197.27/34.32    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.32    (4)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.27/34.32           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.27/34.32           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.27/34.32                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.27/34.32               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.27/34.32               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.27/34.32           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.27/34.32             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.32               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.32           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.32               = all_57_4 & $i(all_57_4))))
% 197.27/34.32    (5)  op(e2, e0) = all_52_13
% 197.27/34.32    (6)  op(e1, e1) = e0
% 197.27/34.32    (7)   ~ (e2 = e0)
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | BETA: splitting (4) gives:
% 197.27/34.32  | 
% 197.27/34.32  | Case 1:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (8)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.27/34.32  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.27/34.32  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.27/34.32  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 197.27/34.32  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.27/34.32  | |            all_57_13 & $i(all_57_13)))
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (8) implies:
% 197.27/34.32  | |   (9)  op(e2, e0) = e2
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1662.
% 197.27/34.32  | | 
% 197.27/34.32  | Case 2:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (10)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 197.27/34.32  | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.27/34.32  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 197.27/34.32  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 197.27/34.32  | |             e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 197.27/34.32  | |             all_57_4 & $i(all_57_4)))
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (10) implies:
% 197.27/34.32  | |   (11)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 197.27/34.32  | |             e2) = all_57_4 & $i(all_57_4))
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (3), (6), (7), (11) are inconsistent by sub-proof #1513.
% 197.27/34.32  | | 
% 197.27/34.32  | End of split
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1481 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.32    (2)   ~ (all_52_9 = e1)
% 197.27/34.32    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.27/34.32           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.27/34.32           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.27/34.32                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 197.27/34.32               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.27/34.32               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.27/34.32           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 197.27/34.32           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.32               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.32           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.27/34.32               = all_57_5 & $i(all_57_5))))
% 197.27/34.32    (4)   ~ (e2 = e1)
% 197.27/34.32    (5)  op(e2, e2) = e2
% 197.27/34.32    (6)  op(e2, e1) = all_52_9
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | BETA: splitting (3) gives:
% 197.27/34.32  | 
% 197.27/34.32  | Case 1:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.27/34.32  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.27/34.32  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.27/34.32  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 197.27/34.32  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.27/34.32  | |            & $i(all_57_8)))
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (7) implies:
% 197.27/34.32  | |   (8)  op(e2, e2) = e1
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1783.
% 197.27/34.32  | | 
% 197.27/34.32  | Case 2:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.27/34.32  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.27/34.32  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 197.27/34.32  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.27/34.32  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.27/34.32  | |            & $i(all_57_5)))
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (9) implies:
% 197.27/34.32  | |   (10)  op(e2, e1) = e1
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1755.
% 197.27/34.32  | | 
% 197.27/34.32  | End of split
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1482 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)  op(e1, e3) = all_52_2
% 197.27/34.32    (2)  op(e3, e0) = e3
% 197.27/34.32    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.32    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.27/34.32           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.27/34.32           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 197.27/34.32                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.27/34.32               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.27/34.32               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.27/34.32           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 197.27/34.32           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.27/34.32               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.32           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.27/34.32               = all_57_2 & $i(all_57_2))))
% 197.27/34.32    (5)   ~ (all_52_8 = all_52_12)
% 197.27/34.32    (6)   ~ (all_52_2 = e1)
% 197.27/34.32    (7)  op(e3, e0) = all_52_12
% 197.27/34.32    (8)  op(e3, e1) = all_52_8
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | BETA: splitting (4) gives:
% 197.27/34.32  | 
% 197.27/34.32  | Case 1:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (9)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.27/34.32  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.27/34.32  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 197.27/34.32  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 197.27/34.32  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.27/34.32  | |            & $i(all_57_8)))
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (9) implies:
% 197.27/34.32  | |   (10)  op(e3, e1) = e3
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (2), (3), (5), (7), (8), (10) are inconsistent by sub-proof
% 197.27/34.32  | |            #1912.
% 197.27/34.32  | | 
% 197.27/34.32  | Case 2:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (11)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 197.27/34.32  | |         all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.27/34.32  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 197.27/34.32  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 197.27/34.32  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.27/34.32  | |             all_57_2 & $i(all_57_2)))
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (11) implies:
% 197.27/34.32  | |   (12)  op(e1, e3) = e1
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (3), (6), (12) are inconsistent by sub-proof #1974.
% 197.27/34.32  | | 
% 197.27/34.32  | End of split
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1483 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)  all_54_7 = all_52_13
% 197.27/34.32    (2)  all_54_7 = e2
% 197.27/34.32    (3)   ~ (all_52_13 = e2)
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.32  |   (4)  all_52_13 = e2
% 197.27/34.32  | 
% 197.27/34.32  | SIMP: (4) implies:
% 197.27/34.32  |   (5)  all_52_13 = e2
% 197.27/34.32  | 
% 197.27/34.32  | REDUCE: (3), (5) imply:
% 197.27/34.32  |   (6)  $false
% 197.27/34.32  | 
% 197.27/34.32  | CLOSE: (6) is inconsistent.
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1484 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)  all_54_7 = all_52_13
% 197.27/34.32    (2)  all_54_7 = e3
% 197.27/34.32    (3)   ~ (all_52_13 = e3)
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | COMBINE_EQS: (1), (2) imply:
% 197.27/34.32  |   (4)  all_52_13 = e3
% 197.27/34.32  | 
% 197.27/34.32  | SIMP: (4) implies:
% 197.27/34.32  |   (5)  all_52_13 = e3
% 197.27/34.32  | 
% 197.27/34.32  | REDUCE: (3), (5) imply:
% 197.27/34.32  |   (6)  $false
% 197.27/34.32  | 
% 197.27/34.32  | CLOSE: (6) is inconsistent.
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1485 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.32    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.27/34.32             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.32           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 197.27/34.32           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.27/34.32           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.27/34.32           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 197.27/34.32    (3)   ~ (all_52_9 = e2)
% 197.27/34.32    (4)   ~ (e1 = e0)
% 197.27/34.32    (5)  op(e2, e1) = all_52_9
% 197.27/34.32    (6)  op(e0, e0) = e0
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | BETA: splitting (2) gives:
% 197.27/34.32  | 
% 197.27/34.32  | Case 1:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.27/34.32  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.32  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (7) implies:
% 197.27/34.32  | |   (8)  op(e0, e0) = e1
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1943.
% 197.27/34.32  | | 
% 197.27/34.32  | Case 2:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.27/34.32  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.27/34.32  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (9) implies:
% 197.27/34.32  | |   (10)  op(e2, e1) = e2
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1942.
% 197.27/34.32  | | 
% 197.27/34.32  | End of split
% 197.27/34.32  | 
% 197.27/34.32  End of proof
% 197.27/34.32  
% 197.27/34.32  Sub-proof #1486 shows that the following formulas are inconsistent:
% 197.27/34.32  ----------------------------------------------------------------
% 197.27/34.32    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.32    (2)  op(e3, e3) = e1
% 197.27/34.32    (3)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.27/34.32             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.27/34.32           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 197.27/34.32           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 197.27/34.32             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.27/34.32             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 197.27/34.32           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.32           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.27/34.32           $i(all_57_7) & $i(all_57_10))
% 197.27/34.32    (4)   ~ (e2 = e1)
% 197.27/34.32    (5)  op(e2, e2) = e2
% 197.27/34.32    (6)  op(e0, e0) = e0
% 197.27/34.32    (7)   ~ (e2 = e0)
% 197.27/34.32  
% 197.27/34.32  Begin of proof
% 197.27/34.32  | 
% 197.27/34.32  | BETA: splitting (3) gives:
% 197.27/34.32  | 
% 197.27/34.32  | Case 1:
% 197.27/34.32  | | 
% 197.27/34.32  | |   (8)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.27/34.32  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.27/34.32  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 197.27/34.32  | | 
% 197.27/34.32  | | ALPHA: (8) implies:
% 197.27/34.32  | |   (9)  op(e3, e3) = e2
% 197.27/34.32  | | 
% 197.27/34.32  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1934.
% 197.27/34.32  | | 
% 197.27/34.32  | Case 2:
% 197.27/34.32  | | 
% 197.27/34.33  | |   (10)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.27/34.33  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.27/34.33  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.27/34.33  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.27/34.33  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.27/34.33  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.33  | | 
% 197.27/34.33  | | REF_CLOSE: (1), (4), (5), (6), (7), (10) are inconsistent by sub-proof
% 197.27/34.33  | |            #1487.
% 197.27/34.33  | | 
% 197.27/34.33  | End of split
% 197.27/34.33  | 
% 197.27/34.33  End of proof
% 197.27/34.33  
% 197.27/34.33  Sub-proof #1487 shows that the following formulas are inconsistent:
% 197.27/34.33  ----------------------------------------------------------------
% 197.27/34.33    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.33    (2)   ~ (e2 = e1)
% 197.27/34.33    (3)  op(e2, e2) = e2
% 197.27/34.33    (4)  op(e0, e0) = e0
% 197.27/34.33    (5)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 197.27/34.33             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.27/34.33           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 197.27/34.33           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 197.27/34.33           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 197.27/34.33           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.33    (6)   ~ (e2 = e0)
% 197.27/34.33  
% 197.27/34.33  Begin of proof
% 197.27/34.33  | 
% 197.27/34.33  | BETA: splitting (5) gives:
% 197.27/34.33  | 
% 197.27/34.33  | Case 1:
% 197.27/34.33  | | 
% 197.27/34.33  | |   (7)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 197.27/34.33  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.27/34.33  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 197.27/34.33  | | 
% 197.27/34.33  | | ALPHA: (7) implies:
% 197.27/34.33  | |   (8)  op(e0, e0) = e2
% 197.27/34.33  | | 
% 197.27/34.33  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1945.
% 197.27/34.33  | | 
% 197.27/34.33  | Case 2:
% 197.27/34.33  | | 
% 197.27/34.33  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.27/34.33  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.27/34.33  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 197.27/34.33  | | 
% 197.27/34.33  | | ALPHA: (9) implies:
% 197.27/34.33  | |   (10)  op(e2, e2) = e1
% 197.27/34.33  | | 
% 197.27/34.33  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1783.
% 197.27/34.33  | | 
% 197.27/34.33  | End of split
% 197.27/34.33  | 
% 197.27/34.33  End of proof
% 197.27/34.33  
% 197.27/34.33  Sub-proof #1488 shows that the following formulas are inconsistent:
% 197.27/34.33  ----------------------------------------------------------------
% 197.27/34.33    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.27/34.33             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.33           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 197.27/34.33           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.27/34.33           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 197.27/34.33           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 197.27/34.33    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.33    (3)  op(e1, e1) = e0
% 197.27/34.33    (4)  op(e0, e0) = e0
% 197.27/34.33    (5)   ~ (e2 = e0)
% 197.27/34.33  
% 197.27/34.33  Begin of proof
% 197.27/34.33  | 
% 197.27/34.33  | BETA: splitting (1) gives:
% 197.27/34.33  | 
% 197.27/34.33  | Case 1:
% 197.27/34.33  | | 
% 197.27/34.33  | |   (6)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.27/34.33  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.33  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 197.27/34.33  | | 
% 197.27/34.33  | | ALPHA: (6) implies:
% 197.27/34.33  | |   (7)  op(e1, e1) = e2
% 197.27/34.33  | | 
% 197.27/34.33  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #1821.
% 197.27/34.33  | | 
% 197.27/34.33  | Case 2:
% 197.27/34.33  | | 
% 197.27/34.33  | |   (8)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.27/34.33  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.27/34.33  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 197.27/34.33  | | 
% 197.27/34.33  | | ALPHA: (8) implies:
% 197.27/34.33  | |   (9)  op(e0, e0) = e2
% 197.27/34.33  | | 
% 197.27/34.33  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1945.
% 197.27/34.33  | | 
% 197.27/34.33  | End of split
% 197.27/34.33  | 
% 197.27/34.33  End of proof
% 197.27/34.33  
% 197.27/34.33  Sub-proof #1489 shows that the following formulas are inconsistent:
% 197.27/34.33  ----------------------------------------------------------------
% 197.27/34.33    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.33         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.33    (2)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.27/34.33    (3)  all_54_0 = all_6_2
% 197.27/34.33    (4)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.27/34.33         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.33    (5)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.27/34.33           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.27/34.33           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.27/34.33                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.27/34.33               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.27/34.33               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.33           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.27/34.33           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.33               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.27/34.33           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.27/34.33               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.27/34.33           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.27/34.33           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.27/34.33               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.33               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.33               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.33         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.27/34.33           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.27/34.33           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.27/34.33               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.33             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.33         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.27/34.33           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.27/34.33           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.27/34.33                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.27/34.33               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.27/34.33               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.27/34.33           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.27/34.33           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.33             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.33           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.33               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.27/34.33           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.27/34.33           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.27/34.33               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.33               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.33               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.33         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.27/34.33           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.27/34.33           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.27/34.33               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.33             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.33         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.27/34.33           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.27/34.33           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.27/34.33                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.27/34.33               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.27/34.33               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.27/34.33           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.27/34.33             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.33               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.33           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.33               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.27/34.33           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.27/34.33           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.27/34.33               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.33               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.33               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.33         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.27/34.33           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.27/34.33           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.27/34.33               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.27/34.33             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.27/34.33         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.33             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.33           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.33               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.33             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.33         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.27/34.33             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.33           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.33               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.33             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.33         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.27/34.33             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.33           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.27/34.33               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.27/34.33             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.33         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.27/34.33             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.33           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.27/34.33               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.27/34.33             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.33    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.27/34.33         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.27/34.33    (7)  op(e1, e2) = all_52_6
% 197.27/34.33    (8)   ~ (all_52_14 = e0)
% 197.27/34.33    (9)   ~ (all_52_6 = e0)
% 197.27/34.33    (10)  op(e0, e0) = all_14_2
% 197.27/34.33    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.33          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.33    (12)   ~ (all_52_8 = all_6_2)
% 197.27/34.33    (13)   ~ (all_14_2 = e1)
% 197.27/34.33    (14)  op(e3, e3) = all_6_2
% 197.27/34.33    (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.27/34.33          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.27/34.33    (16)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.27/34.33          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.27/34.33    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.27/34.33          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.27/34.33    (18)   ~ (all_52_6 = all_52_7)
% 197.27/34.33    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.33          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.27/34.33    (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.33          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.33    (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.33          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.33    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.33            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.33    (23)   ~ (all_6_2 = e0)
% 197.27/34.33    (24)   ~ (all_52_13 = all_14_2)
% 197.27/34.33    (25)  op(e3, e2) = all_52_4
% 197.27/34.33    (26)  op(e2, e2) = all_4_2
% 197.27/34.33    (27)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.27/34.33          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.33    (28)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.33          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.33    (29)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.33          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.33    (30)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 197.27/34.33    (31)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 197.27/34.33          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.27/34.33    (32)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.33          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.27/34.33            e1)
% 197.27/34.33    (33)   ~ (all_52_4 = all_6_2)
% 197.27/34.33    (34)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.27/34.33          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 197.27/34.33            e2)
% 197.27/34.33    (35)  op(e2, e0) = all_52_13
% 197.27/34.33    (36)  op(e1, e0) = all_52_14
% 197.27/34.33    (37)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.27/34.33    (38)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.33          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.27/34.33    (39)   ~ (all_52_12 = all_14_2)
% 197.27/34.33    (40)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.33              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.33            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.33            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.33            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.33            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.27/34.33            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.27/34.33            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.33            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.27/34.33            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.33            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.33            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.27/34.33            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.33            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.33            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.33            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.33            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.33            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.27/34.33            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.33            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.33            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.27/34.33            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.33            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.33            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.27/34.33            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.33            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.33            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.33            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.33            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.33            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.27/34.33            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.33            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.33            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.33            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.33            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.33            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.33            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.33            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.33            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.33            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.33            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.33            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.27/34.33            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.33            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.33            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.27/34.33            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.33            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.33            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.27/34.33              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.27/34.33            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.33            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.27/34.33              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.33            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.33            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.27/34.33                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.33                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.33                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.33                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.33                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.27/34.33                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.27/34.33                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.33              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.33                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.27/34.33                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.33                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.27/34.33                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.27/34.33                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.33                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.33                $i(all_57_7))))
% 197.27/34.33    (41)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.27/34.33          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.27/34.33    (42)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.27/34.33          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.27/34.33    (43)   ~ (all_28_2 = e2) | ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 197.27/34.33            op(e0, e2) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 =
% 197.27/34.33              e3) & op(e0, e2) = all_28_1 & $i(all_28_1))
% 197.27/34.33    (44)   ~ (all_52_4 = all_4_2)
% 197.27/34.33    (45)  op(e0, e1) = all_52_11
% 197.27/34.33    (46)   ~ (all_52_6 = all_52_14)
% 197.27/34.33    (47)   ~ (all_4_2 = e1)
% 197.27/34.33    (48)  op(e1, e1) = e0
% 197.27/34.33    (49)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.33          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.33    (50)   ~ (all_14_2 = e3)
% 197.27/34.33    (51)   ~ (all_4_2 = e3)
% 197.27/34.33    (52)  all_54_15 = all_14_2
% 197.27/34.33    (53)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.27/34.33          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.33    (54)   ~ (all_6_2 = e1)
% 197.27/34.33    (55)   ~ (all_52_12 = all_6_2)
% 197.27/34.33    (56)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.33          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.27/34.33    (57)   ~ (e1 = e0)
% 197.27/34.33    (58)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 197.27/34.33          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.33    (59)  all_54_5 = all_4_2
% 197.27/34.33    (60)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.33          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.33    (61)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.33              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.27/34.33                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.33                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.27/34.33    (62)   ~ (e2 = e1)
% 197.27/34.33    (63)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.33          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.33    (64)   ~ (all_52_11 = e0)
% 197.27/34.33    (65)   ~ (all_52_13 = all_4_2)
% 197.27/34.33    (66)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 197.27/34.33          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 197.27/34.33    (67)  op(e3, e0) = all_52_12
% 197.27/34.33    (68)   ~ (all_52_6 = all_4_2)
% 197.27/34.33    (69)   ~ (all_52_4 = all_52_6)
% 197.27/34.33    (70)  all_28_2 = all_14_2
% 197.27/34.33    (71)  op(e3, e1) = all_52_8
% 197.27/34.34    (72)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.34          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.34    (73)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.34          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.34    (74)  op(e0, e2) = all_52_7
% 197.27/34.34    (75)   ~ (e2 = e0)
% 197.27/34.34    (76)   ~ (all_6_2 = e2)
% 197.27/34.34  
% 197.27/34.34  Begin of proof
% 197.27/34.34  | 
% 197.27/34.34  | BETA: splitting (30) gives:
% 197.27/34.34  | 
% 197.27/34.34  | Case 1:
% 197.27/34.34  | | 
% 197.27/34.34  | |   (77)  all_54_0 = e3
% 197.27/34.34  | | 
% 197.27/34.34  | | COMBINE_EQS: (3), (77) imply:
% 197.27/34.34  | |   (78)  all_6_2 = e3
% 197.27/34.34  | | 
% 197.27/34.34  | | REDUCE: (33), (78) imply:
% 197.27/34.34  | |   (79)   ~ (all_52_4 = e3)
% 197.27/34.34  | | 
% 197.27/34.34  | | REDUCE: (12), (78) imply:
% 197.27/34.34  | |   (80)   ~ (all_52_8 = e3)
% 197.27/34.34  | | 
% 197.27/34.34  | | REDUCE: (55), (78) imply:
% 197.27/34.34  | |   (81)   ~ (all_52_12 = e3)
% 197.27/34.34  | | 
% 197.27/34.34  | | REDUCE: (76), (78) imply:
% 197.27/34.34  | |   (82)   ~ (e3 = e2)
% 197.27/34.34  | | 
% 197.27/34.34  | | REDUCE: (54), (78) imply:
% 197.27/34.34  | |   (83)   ~ (e3 = e1)
% 197.27/34.34  | | 
% 197.27/34.34  | | REDUCE: (23), (78) imply:
% 197.27/34.34  | |   (84)   ~ (e3 = e0)
% 197.27/34.34  | | 
% 197.27/34.34  | | REDUCE: (14), (78) imply:
% 197.27/34.34  | |   (85)  op(e3, e3) = e3
% 197.27/34.34  | | 
% 197.27/34.34  | | BETA: splitting (43) gives:
% 197.27/34.34  | | 
% 197.27/34.34  | | Case 1:
% 197.27/34.34  | | | 
% 197.27/34.34  | | |   (86)   ~ (all_28_2 = e2)
% 197.27/34.34  | | | 
% 197.27/34.34  | | | REDUCE: (70), (86) imply:
% 197.27/34.34  | | |   (87)   ~ (all_14_2 = e2)
% 197.27/34.34  | | | 
% 197.27/34.34  | | | BETA: splitting (40) gives:
% 197.27/34.34  | | | 
% 197.27/34.34  | | | Case 1:
% 197.27/34.34  | | | | 
% 197.27/34.34  | | | |   (88)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.34  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.27/34.34  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.27/34.34  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 197.27/34.34  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.34  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 197.27/34.34  | | | |           e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.27/34.34  | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 197.27/34.34  | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.34  | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.27/34.34  | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.27/34.34  | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.34  | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.27/34.34  | | | |           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.27/34.34  | | | |           (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 197.27/34.34  | | | |           & op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.34  | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 =
% 197.27/34.34  | | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.34  | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 197.27/34.34  | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 197.27/34.34  | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.27/34.34  | | | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.27/34.34  | | | |           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.27/34.34  | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.27/34.34  | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.34  | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.34  | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 197.27/34.34  | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 197.27/34.34  | | | |           & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.27/34.34  | | | |           $i(all_57_7) & $i(all_57_10))
% 197.27/34.34  | | | | 
% 197.27/34.34  | | | | BETA: splitting (88) gives:
% 197.27/34.34  | | | | 
% 197.27/34.34  | | | | Case 1:
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | |   (89)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.34  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 197.27/34.34  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.27/34.34  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 197.27/34.34  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.34  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 197.27/34.34  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.27/34.34  | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 197.27/34.34  | | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.34  | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.27/34.34  | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.27/34.34  | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 197.27/34.34  | | | | |           & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.27/34.34  | | | | |           $i(all_57_14))
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | | BETA: splitting (89) gives:
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | | Case 1:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | |   (90)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.34  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.27/34.34  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.34  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 197.27/34.34  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 197.27/34.34  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.27/34.34  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | BETA: splitting (90) gives:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | Case 1:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | |   (91)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.34  | | | | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.27/34.34  | | | | | | |         all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.34  | | | | | | |         $i(all_57_1) & $i(all_57_12)
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | ALPHA: (91) implies:
% 197.27/34.34  | | | | | | |   (92)  op(e1, e1) = e3
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | REF_CLOSE: (22), (48), (84), (92) are inconsistent by sub-proof
% 197.27/34.34  | | | | | | |            #1824.
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | Case 2:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | |   (93)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.27/34.34  | | | | | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.27/34.34  | | | | | | |         all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.34  | | | | | | |         $i(all_57_2) & $i(all_57_12)
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | ALPHA: (93) implies:
% 197.27/34.34  | | | | | | |   (94)  op(e0, e0) = e3
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | REF_CLOSE: (10), (13), (22), (37), (50), (52), (87), (94) are
% 197.27/34.34  | | | | | | |            inconsistent by sub-proof #1646.
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | End of split
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | Case 2:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | |   (95)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.27/34.34  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 197.27/34.34  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 197.27/34.34  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 197.27/34.34  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.34  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 197.27/34.34  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | BETA: splitting (95) gives:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | Case 1:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | |   (96)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.27/34.34  | | | | | | |         (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 197.27/34.34  | | | | | | |         & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 197.27/34.34  | | | | | | |         & $i(all_57_14)
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | ALPHA: (96) implies:
% 197.27/34.34  | | | | | | |   (97)  op(e2, e2) = e3
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | REF_CLOSE: (22), (26), (51), (97) are inconsistent by sub-proof
% 197.27/34.34  | | | | | | |            #1975.
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | Case 2:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | |   (98)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.27/34.34  | | | | | | |         (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.34  | | | | | | |         all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.34  | | | | | | |         $i(all_57_2) & $i(all_57_14)
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | ALPHA: (98) implies:
% 197.27/34.34  | | | | | | |   (99)  op(e0, e0) = e3
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | REF_CLOSE: (10), (13), (22), (37), (50), (52), (87), (99) are
% 197.27/34.34  | | | | | | |            inconsistent by sub-proof #1646.
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | End of split
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | End of split
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | Case 2:
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | |   (100)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.34  | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3
% 197.27/34.34  | | | | |            & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.34  | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.34  | | | | |            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.34  | | | | |            all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 197.27/34.34  | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4
% 197.27/34.34  | | | | |            = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 197.27/34.34  | | | | |              = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 197.27/34.34  | | | | |              e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.34  | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 197.27/34.34  | | | | |            (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.27/34.34  | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0)
% 197.27/34.34  | | | | |            = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.27/34.34  | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 197.27/34.34  | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1
% 197.27/34.34  | | | | |            & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | | BETA: splitting (100) gives:
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | | Case 1:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | |   (101)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.34  | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 197.27/34.34  | | | | | |            e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.34  | | | | | |            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 197.27/34.34  | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2)
% 197.27/34.34  | | | | | |            & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.27/34.34  | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.34  | | | | | |            $i(all_57_10))
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | REF_CLOSE: (22), (25), (79), (101) are inconsistent by sub-proof
% 197.27/34.34  | | | | | |            #1971.
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | Case 2:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | |   (102)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.27/34.34  | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.34  | | | | | |            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.34  | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.27/34.34  | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2)
% 197.27/34.34  | | | | | |            & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.27/34.34  | | | | | |            all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.34  | | | | | |            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 197.27/34.34  | | | | | |            (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.34  | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 197.27/34.34  | | | | | |              e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | BETA: splitting (102) gives:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | Case 1:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | |   (103)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.27/34.34  | | | | | | |          (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.34  | | | | | | |          all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.34  | | | | | | |          $i(all_57_3) & $i(all_57_14)
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | ALPHA: (103) implies:
% 197.27/34.34  | | | | | | |   (104)  op(e3, e3) = e2
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | REF_CLOSE: (22), (82), (85), (104) are inconsistent by sub-proof
% 197.27/34.34  | | | | | | |            #1957.
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | Case 2:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | |   (105)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.27/34.34  | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 197.27/34.34  | | | | | | |            all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.34  | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.27/34.34  | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.27/34.34  | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.34  | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7)
% 197.27/34.34  | | | | | | |            & $i(all_57_10))
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | BETA: splitting (105) gives:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | Case 1:
% 197.27/34.34  | | | | | | | | 
% 197.27/34.34  | | | | | | | |   (106)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) & 
% 197.27/34.34  | | | | | | | |          ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 197.27/34.34  | | | | | | | |          all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.34  | | | | | | | |          $i(all_57_5) & $i(all_57_14)
% 197.27/34.34  | | | | | | | | 
% 197.27/34.34  | | | | | | | | ALPHA: (106) implies:
% 197.27/34.34  | | | | | | | |   (107)  op(e0, e0) = e2
% 197.27/34.34  | | | | | | | | 
% 197.27/34.34  | | | | | | | | REF_CLOSE: (10), (13), (22), (37), (50), (52), (87), (107) are
% 197.27/34.34  | | | | | | | |            inconsistent by sub-proof #1643.
% 197.27/34.34  | | | | | | | | 
% 197.27/34.34  | | | | | | | Case 2:
% 197.27/34.34  | | | | | | | | 
% 197.27/34.34  | | | | | | | |   (108)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 197.27/34.34  | | | | | | | |          ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 197.27/34.34  | | | | | | | |            e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.27/34.34  | | | | | | | |          $i(all_57_7) & $i(all_57_10)
% 197.27/34.34  | | | | | | | | 
% 197.27/34.34  | | | | | | | | ALPHA: (108) implies:
% 197.27/34.34  | | | | | | | |   (109)  op(e2, e2) = e1
% 197.27/34.34  | | | | | | | | 
% 197.27/34.34  | | | | | | | | REF_CLOSE: (22), (26), (47), (109) are inconsistent by sub-proof
% 197.27/34.34  | | | | | | | |            #1969.
% 197.27/34.34  | | | | | | | | 
% 197.27/34.34  | | | | | | | End of split
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | End of split
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | End of split
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | End of split
% 197.27/34.34  | | | | 
% 197.27/34.34  | | | Case 2:
% 197.27/34.34  | | | | 
% 197.27/34.34  | | | |   (110)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.34  | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.34  | | | |            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.34  | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 197.27/34.34  | | | |            (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 197.27/34.34  | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 197.27/34.34  | | | |            e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.27/34.34  | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 197.27/34.34  | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.27/34.34  | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.27/34.34  | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.34  | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.34  | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.34  | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.27/34.34  | | | |            (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.27/34.34  | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.27/34.34  | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 197.27/34.34  | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 = e0) &
% 197.27/34.34  | | | |            op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 197.27/34.34  | | | |            all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.27/34.34  | | | |          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.34  | | | |            (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.34  | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.34  | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 197.27/34.34  | | | |            (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.27/34.34  | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 197.27/34.34  | | | |            all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 197.27/34.34  | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0)
% 197.27/34.34  | | | |            & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 197.27/34.34  | | | |            all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14))
% 197.27/34.34  | | | |          | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.27/34.34  | | | |                all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3)
% 197.27/34.34  | | | |                & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.27/34.34  | | | |                e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.27/34.34  | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.27/34.34  | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.34  | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.34  | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.27/34.34  | | | |                op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.34  | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.34  | | | |                (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.27/34.34  | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.34  | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 197.27/34.34  | | | |                & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 197.27/34.34  | | | |                e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.27/34.34  | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.27/34.34  | | | |                op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.34  | | | | 
% 197.27/34.34  | | | | BETA: splitting (110) gives:
% 197.27/34.34  | | | | 
% 197.27/34.34  | | | | Case 1:
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | |   (111)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.34  | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 197.27/34.34  | | | | |            & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.34  | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 197.27/34.34  | | | | |            (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 197.27/34.34  | | | | |            op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 197.27/34.34  | | | | |            = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.27/34.34  | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 197.27/34.34  | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.27/34.34  | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12))
% 197.27/34.34  | | | | |          | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.34  | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 197.27/34.34  | | | | |            & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10)
% 197.27/34.34  | | | | |            & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.27/34.34  | | | | |            (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.27/34.34  | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 197.27/34.34  | | | | |            = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | | BETA: splitting (111) gives:
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | | Case 1:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | |   (112)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.34  | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 197.27/34.34  | | | | | |            e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.27/34.34  | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 197.27/34.34  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1)
% 197.27/34.34  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.27/34.34  | | | | | |            all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.34  | | | | | |            $i(all_57_12))
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | BETA: splitting (112) gives:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | Case 1:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | |   (113)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.34  | | | | | | |          (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 197.27/34.34  | | | | | | |          e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.27/34.34  | | | | | | |          $i(all_57_8) & $i(all_57_10)
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | ALPHA: (113) implies:
% 197.27/34.34  | | | | | | |   (114)  op(e0, e0) = e1
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | REF_CLOSE: (10), (13), (22), (37), (50), (52), (87), (114) are
% 197.27/34.34  | | | | | | |            inconsistent by sub-proof #1641.
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | Case 2:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | |   (115)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.27/34.34  | | | | | | |          (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.27/34.34  | | | | | | |          all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.34  | | | | | | |          $i(all_57_6) & $i(all_57_12)
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | ALPHA: (115) implies:
% 197.27/34.34  | | | | | | |   (116)  op(e3, e3) = e1
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | REF_CLOSE: (22), (83), (85), (116) are inconsistent by sub-proof
% 197.27/34.34  | | | | | | |            #1966.
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | End of split
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | Case 2:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | |   (117)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.34  | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) =
% 197.27/34.34  | | | | | |            e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.27/34.34  | | | | | |            $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 197.27/34.34  | | | | | |            all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 197.27/34.34  | | | | | |              e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2,
% 197.27/34.34  | | | | | |              e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.34  | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.27/34.34  | | | | | |            (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.27/34.34  | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1,
% 197.27/34.34  | | | | | |              e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | BETA: splitting (117) gives:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | Case 1:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | |   (118)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.34  | | | | | | |          (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) =
% 197.27/34.34  | | | | | | |          e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.27/34.34  | | | | | | |          $i(all_57_8) & $i(all_57_12)
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | ALPHA: (118) implies:
% 197.27/34.34  | | | | | | |   (119)  op(e0, e0) = e1
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | REF_CLOSE: (10), (13), (22), (37), (50), (52), (87), (119) are
% 197.27/34.34  | | | | | | |            inconsistent by sub-proof #1641.
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | Case 2:
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | |   (120)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) & 
% 197.27/34.34  | | | | | | |            ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.27/34.34  | | | | | | |              e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.34  | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.27/34.34  | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 197.27/34.34  | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.34  | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.34  | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | | REF_CLOSE: (22), (67), (81), (120) are inconsistent by sub-proof
% 197.27/34.34  | | | | | | |            #1963.
% 197.27/34.34  | | | | | | | 
% 197.27/34.34  | | | | | | End of split
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | End of split
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | Case 2:
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | |   (121)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.34  | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9
% 197.27/34.34  | | | | |            & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.34  | | | | |            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 197.27/34.34  | | | | |            (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.27/34.34  | | | | |            op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 197.27/34.34  | | | | |            = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 197.27/34.34  | | | | |            all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1)
% 197.27/34.34  | | | | |            & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) =
% 197.27/34.34  | | | | |            e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.34  | | | | |            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~
% 197.27/34.34  | | | | |            (all_57_11 = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.27/34.34  | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 197.27/34.34  | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.27/34.34  | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 =
% 197.27/34.34  | | | | |                e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2,
% 197.27/34.34  | | | | |                  e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.34  | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.27/34.34  | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.27/34.34  | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.34  | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.34  | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.27/34.34  | | | | |                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.27/34.34  | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 197.27/34.34  | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.27/34.34  | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.27/34.34  | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.34  | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 197.27/34.34  | | | | |                & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.27/34.34  | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.27/34.34  | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 197.27/34.34  | | | | |                & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.34  | | | | |                $i(all_57_7))))
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | | BETA: splitting (121) gives:
% 197.27/34.34  | | | | | 
% 197.27/34.34  | | | | | Case 1:
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | |   (122)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.34  | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.34  | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.27/34.34  | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 197.27/34.34  | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 = e0)
% 197.27/34.34  | | | | | |            & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 197.27/34.34  | | | | | |            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.34  | | | | | |            $i(all_57_14))
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | | REF_CLOSE: (22), (84), (85), (122) are inconsistent by sub-proof
% 197.27/34.34  | | | | | |            #1960.
% 197.27/34.34  | | | | | | 
% 197.27/34.34  | | | | | Case 2:
% 197.27/34.34  | | | | | | 
% 197.27/34.35  | | | | | |   (123)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.27/34.35  | | | | | |            (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) =
% 197.27/34.35  | | | | | |            e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.35  | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 197.27/34.35  | | | | | |            all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 197.27/34.35  | | | | | |              e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1,
% 197.27/34.35  | | | | | |              e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.35  | | | | | |            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15)
% 197.27/34.35  | | | | | |            & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &
% 197.27/34.35  | | | | | |                 ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 197.27/34.35  | | | | | |                  e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 197.27/34.35  | | | | | |              (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.27/34.35  | | | | | |                ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1,
% 197.27/34.35  | | | | | |                  e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.27/34.35  | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.27/34.35  | | | | | |                ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.35  | | | | | |                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.35  | | | | | |              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) & 
% 197.27/34.35  | | | | | |                ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1,
% 197.27/34.35  | | | | | |                  e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.27/34.35  | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 197.27/34.35  | | | | | |                ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.27/34.35  | | | | | |                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.27/34.35  | | | | | |              (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 197.27/34.35  | | | | | |                ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.35  | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | | BETA: splitting (123) gives:
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | | Case 1:
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | |   (124)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) & 
% 197.27/34.35  | | | | | | |          ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0)
% 197.27/34.35  | | | | | | |          = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.35  | | | | | | |          $i(all_57_12) & $i(all_57_13)
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | ALPHA: (124) implies:
% 197.27/34.35  | | | | | | |   (125)  op(e2, e0) = e2
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | REF_CLOSE: (2), (13), (22), (25), (28), (29), (35), (37), (39),
% 197.27/34.35  | | | | | | |            (44), (47), (48), (50), (51), (52), (53), (59), (60),
% 197.27/34.35  | | | | | | |            (62), (65), (67), (82), (83), (85), (87), (125) are
% 197.27/34.35  | | | | | | |            inconsistent by sub-proof #1637.
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | Case 2:
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | |   (126)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 197.27/34.35  | | | | | | |            ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.27/34.35  | | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.27/34.35  | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.27/34.35  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 197.27/34.35  | | | | | | |                = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.35  | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 197.27/34.35  | | | | | | |                  e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.27/34.35  | | | | | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 197.27/34.35  | | | | | | |                  = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.35  | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.27/34.35  | | | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 197.27/34.35  | | | | | | |                  = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.27/34.35  | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.27/34.35  | | | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.35  | | | | | | |                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.35  | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.35  | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 197.27/34.35  | | | | | | |                  = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.35  | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.27/34.35  | | | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 197.27/34.35  | | | | | | |                  = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.27/34.35  | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | REF_CLOSE: (22), (26), (45), (48), (51), (64), (75), (82), (83),
% 197.27/34.35  | | | | | | |            (84), (85), (126) are inconsistent by sub-proof #1629.
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | End of split
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | End of split
% 197.27/34.35  | | | | | 
% 197.27/34.35  | | | | End of split
% 197.27/34.35  | | | | 
% 197.27/34.35  | | | End of split
% 197.27/34.35  | | | 
% 197.27/34.35  | | Case 2:
% 197.27/34.35  | | | 
% 197.27/34.35  | | |   (127)  all_28_2 = e2
% 197.27/34.35  | | | 
% 197.27/34.35  | | | COMBINE_EQS: (70), (127) imply:
% 197.27/34.35  | | |   (128)  all_14_2 = e2
% 197.27/34.35  | | | 
% 197.27/34.35  | | | SIMP: (128) implies:
% 197.27/34.35  | | |   (129)  all_14_2 = e2
% 197.27/34.35  | | | 
% 197.27/34.35  | | | REDUCE: (24), (129) imply:
% 197.27/34.35  | | |   (130)   ~ (all_52_13 = e2)
% 197.27/34.35  | | | 
% 197.27/34.35  | | | REDUCE: (50), (129) imply:
% 197.27/34.35  | | |   (131)   ~ (e3 = e2)
% 197.27/34.35  | | | 
% 197.27/34.35  | | | REDUCE: (10), (129) imply:
% 197.27/34.35  | | |   (132)  op(e0, e0) = e2
% 197.27/34.35  | | | 
% 197.27/34.35  | | | BETA: splitting (34) gives:
% 197.27/34.35  | | | 
% 197.27/34.35  | | | Case 1:
% 197.27/34.35  | | | | 
% 197.27/34.35  | | | |   (133)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 197.27/34.35  | | | |              e2) = e2)
% 197.27/34.35  | | | | 
% 197.27/34.35  | | | | BETA: splitting (133) gives:
% 197.27/34.35  | | | | 
% 197.27/34.35  | | | | Case 1:
% 197.27/34.35  | | | | | 
% 197.27/34.35  | | | | |   (134)  all_56_12 = e2 & op(e0, e3) = e2
% 197.27/34.35  | | | | | 
% 197.27/34.35  | | | | | ALPHA: (134) implies:
% 197.27/34.35  | | | | |   (135)  all_56_12 = e2
% 197.27/34.35  | | | | | 
% 197.27/34.35  | | | | | BETA: splitting (66) gives:
% 197.27/34.35  | | | | | 
% 197.27/34.35  | | | | | Case 1:
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | |   (136)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 &
% 197.27/34.35  | | | | | |            op(e2, e0) = e2)
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | | BETA: splitting (136) gives:
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | | Case 1:
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | |   (137)  all_56_9 = e2 & op(e3, e0) = e2
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | ALPHA: (137) implies:
% 197.27/34.35  | | | | | | |   (138)  all_56_9 = e2
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | BETA: splitting (53) gives:
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | |   (139)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 &
% 197.27/34.35  | | | | | | | |            op(e3, e2) = e0)
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | | BETA: splitting (139) gives:
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | |   (140)  all_56_0 = e0 & op(e3, e3) = e0
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | ALPHA: (140) implies:
% 197.27/34.35  | | | | | | | | |   (141)  op(e3, e3) = e0
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | REF_CLOSE: (22), (84), (85), (141) are inconsistent by
% 197.27/34.35  | | | | | | | | |            sub-proof #1961.
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | |   (142)  all_56_1 = e0 & op(e3, e2) = e0
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | ALPHA: (142) implies:
% 197.27/34.35  | | | | | | | | |   (143)  all_56_1 = e0
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | REF_CLOSE: (4), (11), (15), (17), (20), (21), (22), (26),
% 197.27/34.35  | | | | | | | | |            (27), (28), (29), (32), (35), (40), (42), (45),
% 197.27/34.35  | | | | | | | | |            (47), (48), (49), (51), (57), (60), (61), (62),
% 197.27/34.35  | | | | | | | | |            (64), (67), (72), (73), (75), (81), (82), (83),
% 197.27/34.35  | | | | | | | | |            (84), (85), (130), (132), (135), (138), (143) are
% 197.27/34.35  | | | | | | | | |            inconsistent by sub-proof #1573.
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | |   (144)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 &
% 197.27/34.35  | | | | | | | |            op(e3, e0) = e0)
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | | REF_CLOSE: (22), (28), (29), (48), (57), (60), (62), (75), (82),
% 197.27/34.35  | | | | | | | |            (83), (84), (138), (144) are inconsistent by
% 197.27/34.35  | | | | | | | |            sub-proof #1571.
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | End of split
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | Case 2:
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | |   (145)  all_56_10 = e2 & op(e2, e0) = e2
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | ALPHA: (145) implies:
% 197.27/34.35  | | | | | | |   (146)  op(e2, e0) = e2
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | REF_CLOSE: (22), (35), (130), (146) are inconsistent by sub-proof
% 197.27/34.35  | | | | | | |            #1662.
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | End of split
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | Case 2:
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | |   (147)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 197.27/34.35  | | | | | |            op(e0, e0) = e2)
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | | BETA: splitting (147) gives:
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | | Case 1:
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | |   (148)  all_56_11 = e2 & op(e1, e0) = e2
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | ALPHA: (148) implies:
% 197.27/34.35  | | | | | | |   (149)  all_56_11 = e2
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | REF_CLOSE: (4), (11), (15), (16), (17), (19), (20), (21), (22),
% 197.27/34.35  | | | | | | |            (26), (27), (28), (29), (31), (32), (35), (38), (40),
% 197.27/34.35  | | | | | | |            (41), (42), (45), (47), (48), (49), (51), (53), (56),
% 197.27/34.35  | | | | | | |            (57), (58), (60), (61), (62), (63), (64), (67), (71),
% 197.27/34.35  | | | | | | |            (72), (73), (75), (80), (81), (82), (83), (84), (85),
% 197.27/34.35  | | | | | | |            (130), (132), (135), (149) are inconsistent by
% 197.27/34.35  | | | | | | |            sub-proof #1537.
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | Case 2:
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | |   (150)  all_56_15 = e2 & op(e0, e0) = e2
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | ALPHA: (150) implies:
% 197.27/34.35  | | | | | | |   (151)  all_56_15 = e2
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | BETA: splitting (61) gives:
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | |   (152)  all_56_15 = e0 & op(e0, e0) = e0
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | | REF_CLOSE: (75), (151), (152) are inconsistent by sub-proof
% 197.27/34.35  | | | | | | | |            #1536.
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | |   (153)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 197.27/34.35  | | | | | | | |              op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 197.27/34.35  | | | | | | | |              e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 197.27/34.35  | | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0
% 197.27/34.35  | | | | | | | |              & op(e0, e1) = e0))
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | | ALPHA: (153) implies:
% 197.27/34.35  | | | | | | | |   (154)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.35  | | | | | | | |            op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | | REF_CLOSE: (22), (26), (35), (40), (45), (47), (48), (51), (62),
% 197.27/34.35  | | | | | | | |            (64), (67), (75), (81), (82), (83), (84), (85),
% 197.27/34.35  | | | | | | | |            (130), (132), (135), (154) are inconsistent by
% 197.27/34.35  | | | | | | | |            sub-proof #1583.
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | End of split
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | End of split
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | End of split
% 197.27/34.35  | | | | | 
% 197.27/34.35  | | | | Case 2:
% 197.27/34.35  | | | | | 
% 197.27/34.35  | | | | |   (155)  all_56_13 = e2 & op(e0, e2) = e2
% 197.27/34.35  | | | | | 
% 197.27/34.35  | | | | | ALPHA: (155) implies:
% 197.27/34.35  | | | | |   (156)  all_56_13 = e2
% 197.27/34.35  | | | | | 
% 197.27/34.35  | | | | | BETA: splitting (38) gives:
% 197.27/34.35  | | | | | 
% 197.27/34.35  | | | | | Case 1:
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | |   (157)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2,
% 197.27/34.35  | | | | | |              e2) = e3)
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | | REF_CLOSE: (22), (25), (26), (51), (79), (157) are inconsistent by
% 197.27/34.35  | | | | | |            sub-proof #1790.
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | Case 2:
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | |   (158)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 197.27/34.35  | | | | | |            op(e0, e2) = e3)
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | | BETA: splitting (158) gives:
% 197.27/34.35  | | | | | | 
% 197.27/34.35  | | | | | | Case 1:
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | |   (159)  all_56_7 = e3 & op(e1, e2) = e3
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | ALPHA: (159) implies:
% 197.27/34.35  | | | | | | |   (160)  all_56_7 = e3
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | BETA: splitting (4) gives:
% 197.27/34.35  | | | | | | | 
% 197.27/34.35  | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | |   (161)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 197.27/34.35  | | | | | | | |            op(e0, e2) = e3)
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | | BETA: splitting (161) gives:
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | |   (162)  all_56_12 = e3 & op(e0, e3) = e3
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | ALPHA: (162) implies:
% 197.27/34.35  | | | | | | | | |   (163)  all_56_12 = e3
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | BETA: splitting (20) gives:
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | |   (164)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 197.27/34.35  | | | | | | | | | |            & op(e2, e3) = e0)
% 197.27/34.35  | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | REF_CLOSE: (11), (20), (21), (22), (57), (62), (75), (82),
% 197.27/34.35  | | | | | | | | | |            (83), (84), (85), (163), (164) are inconsistent by
% 197.27/34.35  | | | | | | | | | |            sub-proof #1535.
% 197.27/34.35  | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | |   (165)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0
% 197.27/34.35  | | | | | | | | | |            & op(e0, e3) = e0)
% 197.27/34.35  | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | BETA: splitting (165) gives:
% 197.27/34.35  | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | |   (166)  all_56_6 = e0 & op(e1, e3) = e0
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | ALPHA: (166) implies:
% 197.27/34.35  | | | | | | | | | | |   (167)  all_56_6 = e0
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | BETA: splitting (72) gives:
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | |   (168)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 197.27/34.35  | | | | | | | | | | | |            & op(e1, e2) = e2)
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | BETA: splitting (168) gives:
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | |   (169)  all_56_6 = e2 & op(e1, e3) = e2
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | ALPHA: (169) implies:
% 197.27/34.35  | | | | | | | | | | | | |   (170)  all_56_6 = e2
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (57), (62), (75), (83), (84),
% 197.27/34.35  | | | | | | | | | | | | |            (85), (163), (170) are inconsistent by sub-proof
% 197.27/34.35  | | | | | | | | | | | | |            #1597.
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | |   (171)  all_56_7 = e2 & op(e1, e2) = e2
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | REF_CLOSE: (82), (160), (171) are inconsistent by sub-proof
% 197.27/34.35  | | | | | | | | | | | | |            #1925.
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | |   (172)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 197.27/34.35  | | | | | | | | | | | |            e2 & op(e1, e0) = e2)
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | BETA: splitting (172) gives:
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | |   (173)  all_56_8 = e2 & op(e1, e1) = e2
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | ALPHA: (173) implies:
% 197.27/34.35  | | | | | | | | | | | | |   (174)  op(e1, e1) = e2
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | REF_CLOSE: (22), (48), (75), (174) are inconsistent by
% 197.27/34.35  | | | | | | | | | | | | |            sub-proof #1821.
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | |   (175)  all_56_11 = e2 & op(e1, e0) = e2
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | ALPHA: (175) implies:
% 197.27/34.35  | | | | | | | | | | | | |   (176)  all_56_11 = e2
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | BETA: splitting (11) gives:
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | |   (177)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 197.27/34.35  | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 197.27/34.35  | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 197.27/34.35  | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | |   (178)  all_56_0 = e2 & op(e3, e3) = e2
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | ALPHA: (178) implies:
% 197.27/34.35  | | | | | | | | | | | | | | |   (179)  op(e3, e3) = e2
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | REF_CLOSE: (22), (82), (85), (179) are inconsistent by
% 197.27/34.35  | | | | | | | | | | | | | | |            sub-proof #1957.
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | |   (180)  all_56_2 = e2 & op(e2, e3) = e2
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 197.27/34.35  | | | | | | | | | | | | | | |   (181)  all_56_2 = e2
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | |   (182)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 197.27/34.35  | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 197.27/34.35  | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 197.27/34.35  | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (183)  all_56_0 = e1 & op(e3, e3) = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (184)  op(e3, e3) = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (83), (85), (184) are inconsistent by
% 197.27/34.35  | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (185)  all_56_2 = e1 & op(e2, e3) = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | ALPHA: (185) implies:
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (186)  all_56_2 = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (181), (186) imply:
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (187)  e2 = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (187) imply:
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (188)  all_56_11 = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (62), (72), (75), (82), (160), (167),
% 197.27/34.35  | | | | | | | | | | | | | | | | |            (188) are inconsistent by sub-proof #1576.
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | |   (189)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 197.27/34.35  | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 197.27/34.35  | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 197.27/34.35  | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (190)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (191)  all_56_6 = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (167), (191) are inconsistent by sub-proof
% 197.27/34.35  | | | | | | | | | | | | | | | | |            #1565.
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (192)  all_56_12 = e1 & op(e0, e3) = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | ALPHA: (192) implies:
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (193)  all_56_12 = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (163), (193) imply:
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (194)  e3 = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (194) imply:
% 197.27/34.35  | | | | | | | | | | | | | | | | |   (195)  all_56_7 = e1
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (73), (82), (83), (84), (167), (176),
% 197.27/34.35  | | | | | | | | | | | | | | | | |            (195) are inconsistent by sub-proof #1580.
% 197.27/34.35  | | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | |   (196)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 197.27/34.35  | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 197.27/34.35  | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 197.27/34.35  | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | |   (197)  all_56_6 = e2 & op(e1, e3) = e2
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 197.27/34.35  | | | | | | | | | | | | | | |   (198)  all_56_6 = e2
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (57), (62), (75), (83), (84),
% 197.27/34.35  | | | | | | | | | | | | | | |            (85), (163), (198) are inconsistent by sub-proof
% 197.27/34.35  | | | | | | | | | | | | | | |            #1597.
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | |   (199)  all_56_12 = e2 & op(e0, e3) = e2
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | | REF_CLOSE: (82), (163), (199) are inconsistent by sub-proof
% 197.27/34.35  | | | | | | | | | | | | | | |            #1848.
% 197.27/34.35  | | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | |   (200)  all_56_12 = e0 & op(e0, e3) = e0
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | REF_CLOSE: (84), (163), (200) are inconsistent by sub-proof
% 197.27/34.35  | | | | | | | | | | |            #1846.
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | |   (201)  all_56_13 = e3 & op(e0, e2) = e3
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | ALPHA: (201) implies:
% 197.27/34.35  | | | | | | | | |   (202)  all_56_13 = e3
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | REF_CLOSE: (82), (156), (202) are inconsistent by sub-proof
% 197.27/34.35  | | | | | | | | |            #1541.
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | End of split
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | |   (203)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 &
% 197.27/34.35  | | | | | | | |            op(e0, e0) = e3)
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | | BETA: splitting (203) gives:
% 197.27/34.35  | | | | | | | | 
% 197.27/34.35  | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | |   (204)  all_56_14 = e3 & op(e0, e1) = e3
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | ALPHA: (204) implies:
% 197.27/34.35  | | | | | | | | |   (205)  all_56_14 = e3
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | BETA: splitting (40) gives:
% 197.27/34.35  | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | |   (206)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.35  | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.35  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.27/34.35  | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 197.27/34.35  | | | | | | | | | |          (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.27/34.35  | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.35  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.35  | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 197.27/34.35  | | | | | | | | | |          (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.35  | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.35  | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.35  | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.27/34.35  | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.27/34.35  | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.27/34.35  | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0,
% 197.27/34.35  | | | | | | | | | |              e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 197.27/34.35  | | | | | | | | | |            & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 =
% 197.27/34.35  | | | | | | | | | |            e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 = e2) &
% 197.27/34.35  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1,
% 197.27/34.35  | | | | | | | | | |              e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4)
% 197.27/34.35  | | | | | | | | | |            & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 =
% 197.27/34.35  | | | | | | | | | |            e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.27/34.35  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0,
% 197.27/34.35  | | | | | | | | | |              e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 197.27/34.35  | | | | | | | | | |            & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 =
% 197.27/34.35  | | | | | | | | | |            e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.27/34.35  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 197.27/34.35  | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.35  | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.27/34.35  | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.27/34.35  | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 197.27/34.35  | | | | | | | | | |            all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 197.27/34.35  | | | | | | | | | |            e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 197.27/34.35  | | | | | | | | | |            e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.27/34.35  | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.27/34.35  | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.35  | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.35  | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | BETA: splitting (206) gives:
% 197.27/34.35  | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | |   (207)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.35  | | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.35  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.27/34.35  | | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12))
% 197.27/34.35  | | | | | | | | | | |          | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.27/34.35  | | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.27/34.35  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.35  | | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.27/34.35  | | | | | | | | | | |          | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.35  | | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.35  | | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.27/34.35  | | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.27/34.35  | | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.27/34.35  | | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.27/34.35  | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.35  | | | | | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.35  | | | | | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | REF_CLOSE: (22), (26), (48), (51), (82), (84), (132), (207)
% 197.27/34.35  | | | | | | | | | | |            are inconsistent by sub-proof #1590.
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | |   (208)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.27/34.35  | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.35  | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.35  | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.35  | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 197.27/34.35  | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.27/34.35  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.35  | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.35  | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 197.27/34.35  | | | | | | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.27/34.35  | | | | | | | | | | |            (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 197.27/34.35  | | | | | | | | | | |            = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 197.27/34.35  | | | | | | | | | | |            all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.27/34.35  | | | | | | | | | | |          (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.27/34.35  | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.27/34.35  | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 197.27/34.35  | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 197.27/34.35  | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 197.27/34.35  | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.35  | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.27/34.35  | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.35  | | | | | | | | | | |            $i(all_57_10))
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | BETA: splitting (208) gives:
% 197.27/34.35  | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | |   (209)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.27/34.35  | | | | | | | | | | | |              e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.35  | | | | | | | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.27/34.35  | | | | | | | | | | | |            all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.27/34.35  | | | | | | | | | | | |            $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2
% 197.27/34.35  | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.27/34.35  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.35  | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.35  | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | REF_CLOSE: (22), (25), (79), (209) are inconsistent by
% 197.27/34.35  | | | | | | | | | | | |            sub-proof #1971.
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | |   (210)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.27/34.35  | | | | | | | | | | | |              e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 197.27/34.35  | | | | | | | | | | | |            op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 197.27/34.35  | | | | | | | | | | | |              e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.35  | | | | | | | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2
% 197.27/34.35  | | | | | | | | | | | |            &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) &
% 197.27/34.35  | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.35  | | | | | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.35  | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.27/34.35  | | | | | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.27/34.35  | | | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.27/34.35  | | | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.35  | | | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | BETA: splitting (210) gives:
% 197.27/34.35  | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | Case 1:
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | |   (211)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.27/34.35  | | | | | | | | | | | | |            e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 &
% 197.27/34.35  | | | | | | | | | | | | |          op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1,
% 197.27/34.35  | | | | | | | | | | | | |            e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | ALPHA: (211) implies:
% 197.27/34.35  | | | | | | | | | | | | |   (212)  op(e3, e3) = e2
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | | REF_CLOSE: (22), (82), (85), (212) are inconsistent by
% 197.27/34.35  | | | | | | | | | | | | |            sub-proof #1957.
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.35  | | | | | | | | | | | | Case 2:
% 197.27/34.35  | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | |   (213)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.27/34.36  | | | | | | | | | | | | |              e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.27/34.36  | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 197.27/34.36  | | | | | | | | | | | | |            op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14))
% 197.27/34.36  | | | | | | | | | | | | |          | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 197.27/34.36  | | | | | | | | | | | | |              e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.36  | | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.27/34.36  | | | | | | | | | | | | |            op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.36  | | | | | | | | | | | | |            $i(all_57_10))
% 197.27/34.36  | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | BETA: splitting (213) gives:
% 197.27/34.36  | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | |   (214)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 =
% 197.27/34.36  | | | | | | | | | | | | | |            e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.27/34.36  | | | | | | | | | | | | | |          op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 &
% 197.27/34.36  | | | | | | | | | | | | | |          op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 197.27/34.36  | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | ALPHA: (214) implies:
% 197.27/34.36  | | | | | | | | | | | | | |   (215)  all_57_15 = e2
% 197.27/34.36  | | | | | | | | | | | | | |   (216)   ~ (all_57_14 = e2)
% 197.27/34.36  | | | | | | | | | | | | | |   (217)   ~ (all_57_5 = e0)
% 197.27/34.36  | | | | | | | | | | | | | |   (218)  op(e0, e2) = all_57_5
% 197.27/34.36  | | | | | | | | | | | | | |   (219)  op(e1, e1) = all_57_14
% 197.27/34.36  | | | | | | | | | | | | | |   (220)  op(e1, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 197.27/34.36  | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | |   (221)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 197.27/34.36  | | | | | | | | | | | | | | |            & op(e1, e2) = e2)
% 197.27/34.36  | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | |   (222)  all_56_6 = e2 & op(e1, e3) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | |   (223)  all_56_6 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | |   (224)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | |            & op(e1, e2) = e1)
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | |   (225)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | REF_CLOSE: (62), (223), (225) are inconsistent by sub-proof
% 197.27/34.36  | | | | | | | | | | | | | | | | | |            #1724.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | |   (226)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (160), (226) are inconsistent by sub-proof
% 197.27/34.36  | | | | | | | | | | | | | | | | | |            #1771.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | |   (227)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 197.27/34.36  | | | | | | | | | | | | | | | | |            e1 & op(e1, e0) = e1)
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | |   (228)  all_56_8 = e1 & op(e1, e1) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | ALPHA: (228) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | |   (229)  op(e1, e1) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (57), (229) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | |            sub-proof #1959.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | |   (230)  all_56_11 = e1 & op(e1, e0) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | |   (231)  all_56_11 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | |   (232)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |   (233)  all_56_1 = e1 & op(e3, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |   (234)  all_56_1 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (235)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (57), (84), (85), (234), (235) are
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1533.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (236)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | |   (237)  all_56_4 = e0 & op(e3, e1) = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | |   (238)  all_56_4 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (28), (29), (48), (57), (60), (62), (75),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (84), (238) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | |   (239)  all_56_9 = e0 & op(e3, e0) = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_9 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_56_0 = e2 & op(e3, e3) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (243)  op(e3, e3) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (82), (85), (243) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1957.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_56_1 = e2 & op(e3, e2) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (244) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_56_1 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (234), (245) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (246)  e2 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (246) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (247)  e2 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (247) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_56_6 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (62), (72), (75), (82), (160), (231),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |            (248) are inconsistent by sub-proof #1613.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |   (249)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_56_4 = e2 & op(e3, e1) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_56_4 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_56_9 = e2 & op(e3, e0) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_56_9 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (53), (57), (75), (84), (85), (234), (251),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            (254) are inconsistent by sub-proof #1532.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_56_10 = e2 & op(e2, e0) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  op(e2, e0) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (35), (130), (256) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_56_11 = e2 & op(e1, e0) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_56_11 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (231), (259) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  e2 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (260) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_56_6 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (260) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_56_4 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (22), (28), (48), (57), (62), (72), (73),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            (75), (82), (83), (84), (205), (231), (261), (262)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1606.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_56_15 = e2 & op(e0, e0) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (263) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_56_15 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (7), (8), (9), (18), (20), (21), (22),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            (25), (26), (35), (36), (42), (45), (46), (48),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            (51), (61), (62), (64), (68), (69), (72), (73),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            (74), (79), (82), (83), (84), (85), (130), (132),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (219), (220), (264)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1512.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_56_9 = e2 & op(e3, e0) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (265) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_56_9 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (240), (266) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (267)  e2 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (267) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (268)  e2 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (268) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_56_6 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (62), (72), (73), (75), (82), (83),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |            (84), (231), (269) are inconsistent by sub-proof
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |            #1575.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |   (270)  all_56_3 = e1 & op(e2, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | ALPHA: (270) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |   (271)  op(e2, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (26), (47), (271) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |            sub-proof #1969.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | |   (272)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.27/34.36  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |   (273)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | ALPHA: (273) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |   (274)  all_56_7 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (160), (274) are inconsistent by sub-proof
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |            #1907.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |   (275)  all_56_13 = e1 & op(e0, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | ALPHA: (275) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |   (276)  all_56_13 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (62), (72), (75), (82), (156), (160),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |            (223), (231), (276) are inconsistent by sub-proof
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |            #1511.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | |   (277)  all_56_7 = e2 & op(e1, e2) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | ALPHA: (277) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | |   (278)  all_56_7 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (278) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | |   (279)  e3 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (279) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | |   (280)  all_56_14 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (11), (15),
% 197.27/34.36  | | | | | | | | | | | | | | | |            (16), (17), (18), (19), (20), (21), (22), (25),
% 197.27/34.36  | | | | | | | | | | | | | | | |            (26), (27), (28), (29), (31), (32), (35), (36),
% 197.27/34.36  | | | | | | | | | | | | | | | |            (38), (40), (41), (42), (45), (46), (47), (48),
% 197.27/34.36  | | | | | | | | | | | | | | | |            (49), (51), (53), (56), (57), (58), (60), (61),
% 197.27/34.36  | | | | | | | | | | | | | | | |            (62), (63), (64), (66), (67), (68), (69), (71),
% 197.27/34.36  | | | | | | | | | | | | | | | |            (72), (73), (74), (75), (79), (80), (81), (82),
% 197.27/34.36  | | | | | | | | | | | | | | | |            (83), (84), (85), (130), (132), (280) are
% 197.27/34.36  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1493.
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | |   (281)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 197.27/34.36  | | | | | | | | | | | | | | |            e2 & op(e1, e0) = e2)
% 197.27/34.36  | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | |   (282)  all_56_8 = e2 & op(e1, e1) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | |   (283)  op(e1, e1) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (75), (283) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | |            sub-proof #1821.
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | |   (284)  all_56_11 = e2 & op(e1, e0) = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | ALPHA: (284) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | |   (285)  all_56_11 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | |   (286)  all_56_15 = e0 & op(e0, e0) = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | |   (287)  op(e0, e0) = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | |   (288)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e1)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | |   (289)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | ALPHA: (289) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | |   (290)  all_56_6 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |   (291)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (292)  all_56_9 = e3 & op(e3, e0) = e3
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | ALPHA: (292) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (293)  op(e3, e0) = e3
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (67), (81), (293) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1964.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (294)  all_56_10 = e3 & op(e2, e0) = e3
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | ALPHA: (294) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (295)  all_56_10 = e3
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | |   (296)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_56_1 = e1 & op(e3, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_56_1 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (299)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_56_0 = e0 & op(e3, e3) = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (300) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  op(e3, e3) = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (84), (85), (301) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1961.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_56_1 = e0 & op(e3, e2) = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (302) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_56_1 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (303) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  e1 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (304) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_56_6 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (42), (48), (57), (62), (72), (73), (75),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (84), (160), (285), (305) are
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1564.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_56_4 = e0 & op(e3, e1) = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (307) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_56_4 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (28), (29), (48), (57), (60), (62), (75),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (84), (308) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_56_9 = e0 & op(e3, e0) = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (309) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_56_9 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_56_9 = e1 & op(e3, e0) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_56_9 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (313) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  e1 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (314) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_56_6 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (42), (48), (57), (62), (72), (73), (75),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (84), (160), (285), (315) are
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1564.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_56_10 = e1 & op(e2, e0) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (31), (57), (73), (75), (82), (83), (84),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (285), (290), (295), (316) are inconsistent
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1561.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_56_11 = e1 & op(e1, e0) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (318) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_56_11 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (62), (72), (75), (82), (160), (290),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (319) are inconsistent by sub-proof #1613.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_56_15 = e1 & op(e0, e0) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  op(e0, e0) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (57), (287), (321) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1943.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_56_3 = e1 & op(e2, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |   (323)  op(e2, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (26), (47), (323) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1969.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | |   (324)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (325) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_56_7 = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (31), (57), (73), (75), (82), (83), (84),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |            (285), (290), (326) are inconsistent by sub-proof
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |            #1562.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_56_13 = e1 & op(e0, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (62), (72), (75), (82), (156), (160),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |            (285), (290), (327) are inconsistent by sub-proof
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | |            #1492.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |   (328)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (329)  all_56_11 = e3 & op(e1, e0) = e3
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (330)  all_56_11 = e3
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (330) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (331)  e3 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | SIMP: (331) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (332)  e3 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (332) imply:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (333)  all_56_14 = e2
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (11), (15),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            (16), (17), (18), (19), (20), (21), (22), (25),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            (26), (27), (28), (29), (31), (32), (35), (36),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            (38), (40), (41), (42), (45), (46), (47), (48),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            (49), (51), (53), (56), (57), (58), (60), (61),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            (62), (63), (64), (66), (67), (68), (69), (71),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            (72), (73), (74), (75), (79), (80), (81), (82),
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            (83), (84), (85), (130), (132), (333) are
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1493.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (334)  all_56_15 = e3 & op(e0, e0) = e3
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |   (335)  op(e0, e0) = e3
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (84), (287), (335) are inconsistent by
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1947.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | |   (336)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (160), (336) are inconsistent by sub-proof
% 197.27/34.36  | | | | | | | | | | | | | | | | | | |            #1771.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | |   (337)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 197.27/34.36  | | | | | | | | | | | | | | | | | |            e1 & op(e1, e0) = e1)
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (57), (62), (285), (337) are
% 197.27/34.36  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1491.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | End of split
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | |   (338)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 197.27/34.36  | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 197.27/34.36  | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 197.27/34.36  | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.27/34.36  | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | ALPHA: (338) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | |   (339)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 197.27/34.36  | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 197.27/34.36  | | | | | | | | | | | | | | | | |              e1) = e0)
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 197.27/34.36  | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | Case 1:
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | |   (340)  all_56_12 = e0 & op(e0, e3) = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 197.27/34.36  | | | | | | | | | | | | | | | | | |   (341)  all_56_12 = e0
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.36  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (31), (32), (42), (48), (57), (62), (72),
% 197.27/34.36  | | | | | | | | | | | | | | | | | |            (73), (75), (82), (83), (84), (132), (156), (160),
% 197.27/34.36  | | | | | | | | | | | | | | | | | |            (205), (285), (341) are inconsistent by sub-proof
% 197.27/34.36  | | | | | | | | | | | | | | | | | |            #1490.
% 197.27/34.36  | | | | | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | | | | | Case 2:
% 197.27/34.37  | | | | | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | | | | | |   (342)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 197.27/34.37  | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 197.27/34.37  | | | | | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (45), (64), (217), (218), (342) are
% 197.27/34.37  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1519.
% 197.27/34.37  | | | | | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | Case 2:
% 197.27/34.37  | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | |   (343)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 =
% 197.27/34.37  | | | | | | | | | | | | | |            e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.37  | | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.27/34.37  | | | | | | | | | | | | | |          op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.37  | | | | | | | | | | | | | |          $i(all_57_10)
% 197.27/34.37  | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | | ALPHA: (343) implies:
% 197.27/34.37  | | | | | | | | | | | | | |   (344)  op(e2, e2) = e1
% 197.27/34.37  | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | | REF_CLOSE: (22), (26), (47), (344) are inconsistent by
% 197.27/34.37  | | | | | | | | | | | | | |            sub-proof #1969.
% 197.27/34.37  | | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | Case 2:
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | |   (345)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.27/34.37  | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.37  | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.37  | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.37  | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.27/34.37  | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.27/34.37  | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.27/34.37  | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.37  | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.27/34.37  | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.37  | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.27/34.37  | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.27/34.37  | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.27/34.37  | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.27/34.37  | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.27/34.37  | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.27/34.37  | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.37  | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.27/34.37  | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.27/34.37  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 197.27/34.37  | | | | | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.37  | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 197.27/34.37  | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.37  | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.37  | | | | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) =
% 197.27/34.37  | | | | | | | | | |            e2 & $i(all_57_9) & $i(all_57_12)) | (all_57_10 =
% 197.27/34.37  | | | | | | | | | |            e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 197.27/34.37  | | | | | | | | | |            (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.37  | | | | | | | | | |            all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 197.27/34.37  | | | | | | | | | |            e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 =
% 197.27/34.37  | | | | | | | | | |            e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.27/34.37  | | | | | | | | | |            (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 197.27/34.37  | | | | | | | | | |            op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 197.27/34.37  | | | | | | | | | |            all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.27/34.37  | | | | | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.27/34.37  | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.27/34.37  | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 197.27/34.37  | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14))
% 197.27/34.37  | | | | | | | | | |          | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.37  | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.27/34.37  | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.27/34.37  | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 197.27/34.37  | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 197.27/34.37  | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.27/34.37  | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.37  | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.27/34.37  | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.27/34.37  | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.27/34.37  | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.27/34.37  | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.27/34.37  | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.27/34.37  | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.27/34.37  | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.27/34.37  | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.27/34.37  | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.27/34.37  | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.27/34.37  | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.27/34.37  | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.27/34.37  | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.37  | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | BETA: splitting (345) gives:
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | Case 1:
% 197.27/34.37  | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | |   (346)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.27/34.37  | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.27/34.37  | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.27/34.37  | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.37  | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.27/34.37  | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.27/34.37  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.27/34.37  | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.37  | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.27/34.37  | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.37  | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.27/34.37  | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.27/34.37  | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.27/34.37  | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.27/34.37  | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.27/34.37  | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.27/34.37  | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.37  | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.27/34.37  | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.27/34.37  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.37  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.37  | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 197.27/34.37  | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | REF_CLOSE: (22), (62), (67), (81), (83), (85), (132), (346)
% 197.27/34.37  | | | | | | | | | | |            are inconsistent by sub-proof #1585.
% 197.27/34.37  | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | Case 2:
% 197.27/34.37  | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | |   (347)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 197.27/34.37  | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.27/34.37  | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 197.27/34.37  | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 197.27/34.37  | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.27/34.37  | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 197.27/34.37  | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 197.27/34.37  | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.37  | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 197.27/34.37  | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 197.27/34.37  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.27/34.37  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.37  | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 197.27/34.37  | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.27/34.37  | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 197.27/34.37  | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 197.27/34.37  | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 197.27/34.37  | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.27/34.37  | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 197.27/34.37  | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.27/34.37  | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 197.27/34.37  | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 197.27/34.37  | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.27/34.37  | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.37  | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.27/34.37  | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.27/34.37  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.27/34.37  | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.27/34.37  | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.27/34.37  | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.27/34.37  | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.27/34.37  | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.27/34.37  | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.27/34.37  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.27/34.37  | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.27/34.37  | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.27/34.37  | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.27/34.37  | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.37  | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.37  | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | | REF_CLOSE: (22), (26), (35), (45), (48), (51), (64), (75),
% 197.27/34.37  | | | | | | | | | | |            (82), (83), (84), (85), (130), (347) are
% 197.27/34.37  | | | | | | | | | | |            inconsistent by sub-proof #1584.
% 197.27/34.37  | | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | Case 2:
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | |   (348)  all_56_15 = e3 & op(e0, e0) = e3
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | ALPHA: (348) implies:
% 197.27/34.37  | | | | | | | | |   (349)  op(e0, e0) = e3
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | REF_CLOSE: (22), (82), (132), (349) are inconsistent by
% 197.27/34.37  | | | | | | | | |            sub-proof #1692.
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | 
% 197.27/34.37  | | | | | | | End of split
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | Case 2:
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | |   (350)  all_56_13 = e3 & op(e0, e2) = e3
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | | ALPHA: (350) implies:
% 197.27/34.37  | | | | | | |   (351)  all_56_13 = e3
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | | REF_CLOSE: (82), (156), (351) are inconsistent by sub-proof #1541.
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | End of split
% 197.27/34.37  | | | | | | 
% 197.27/34.37  | | | | | End of split
% 197.27/34.37  | | | | | 
% 197.27/34.37  | | | | End of split
% 197.27/34.37  | | | | 
% 197.27/34.37  | | | Case 2:
% 197.27/34.37  | | | | 
% 197.27/34.37  | | | |   (352)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 197.27/34.37  | | | |              e0) = e2)
% 197.27/34.37  | | | | 
% 197.27/34.37  | | | | BETA: splitting (352) gives:
% 197.27/34.37  | | | | 
% 197.27/34.37  | | | | Case 1:
% 197.27/34.37  | | | | | 
% 197.27/34.37  | | | | |   (353)  all_56_14 = e2 & op(e0, e1) = e2
% 197.27/34.37  | | | | | 
% 197.27/34.37  | | | | | ALPHA: (353) implies:
% 197.27/34.37  | | | | |   (354)  all_56_14 = e2
% 197.27/34.37  | | | | | 
% 197.27/34.37  | | | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (11), (15), (16), (17),
% 197.27/34.37  | | | | |            (18), (19), (20), (21), (22), (25), (26), (27), (28), (29),
% 197.27/34.37  | | | | |            (31), (32), (35), (36), (38), (40), (41), (42), (45), (46),
% 197.27/34.37  | | | | |            (47), (48), (49), (51), (53), (56), (57), (58), (60), (61),
% 197.27/34.37  | | | | |            (62), (63), (64), (66), (67), (68), (69), (71), (72), (73),
% 197.27/34.37  | | | | |            (74), (75), (79), (80), (81), (82), (83), (84), (85),
% 197.27/34.37  | | | | |            (130), (132), (354) are inconsistent by sub-proof #1493.
% 197.27/34.37  | | | | | 
% 197.27/34.37  | | | | Case 2:
% 197.27/34.37  | | | | | 
% 197.27/34.37  | | | | |   (355)  all_56_15 = e2 & op(e0, e0) = e2
% 197.27/34.37  | | | | | 
% 197.27/34.37  | | | | | ALPHA: (355) implies:
% 197.27/34.37  | | | | |   (356)  all_56_15 = e2
% 197.27/34.37  | | | | | 
% 197.27/34.37  | | | | | BETA: splitting (40) gives:
% 197.27/34.37  | | | | | 
% 197.27/34.37  | | | | | Case 1:
% 197.27/34.37  | | | | | | 
% 197.27/34.37  | | | | | |   (357)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.37  | | | | | |            (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.27/34.37  | | | | | |            all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.37  | | | | | |            $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 197.27/34.37  | | | | | |            all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3)
% 197.27/34.37  | | | | | |            & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.27/34.37  | | | | | |            all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.27/34.37  | | | | | |            $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3 &  ~
% 197.27/34.37  | | | | | |            (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.37  | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1)
% 197.27/34.37  | | | | | |            = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 =
% 197.27/34.37  | | | | | |            e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 197.27/34.37  | | | | | |              = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.37  | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.27/34.37  | | | | | |            $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.27/34.37  | | | | | |            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.27/34.37  | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4 &
% 197.27/34.37  | | | | | |            op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.27/34.37  | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.27/34.37  | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 197.27/34.37  | | | | | |            e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.37  | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 197.27/34.37  | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2)
% 197.27/34.37  | | | | | |            & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 197.27/34.37  | | | | | |            e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.37  | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 197.27/34.37  | | | | | |            (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.27/34.37  | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.27/34.37  | | | | | |              e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 197.27/34.37  | | | | | |            e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.27/34.37  | | | | | |              = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.37  | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.37  | | | | | |            $i(all_57_10))
% 197.27/34.37  | | | | | | 
% 197.27/34.37  | | | | | | BETA: splitting (357) gives:
% 197.27/34.37  | | | | | | 
% 197.27/34.37  | | | | | | Case 1:
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | |   (358)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.27/34.37  | | | | | | |            (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.27/34.37  | | | | | | |            all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.37  | | | | | | |            $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 197.27/34.37  | | | | | | |            all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 197.27/34.37  | | | | | | |              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.27/34.37  | | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 197.27/34.37  | | | | | | |            & $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3 &  ~
% 197.27/34.37  | | | | | | |            (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.27/34.37  | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1,
% 197.27/34.37  | | | | | | |              e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.27/34.37  | | | | | | |          (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.27/34.37  | | | | | | |            (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.37  | | | | | | |            all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.37  | | | | | | |            $i(all_57_2) & $i(all_57_14))
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | | REF_CLOSE: (22), (26), (48), (51), (82), (84), (132), (358) are
% 197.27/34.37  | | | | | | |            inconsistent by sub-proof #1590.
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | Case 2:
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | |   (359)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.27/34.37  | | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2)
% 197.27/34.37  | | | | | | |            = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.37  | | | | | | |            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 197.27/34.37  | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.27/34.37  | | | | | | |              e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.37  | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 197.27/34.37  | | | | | | |            & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.27/34.37  | | | | | | |            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2
% 197.27/34.37  | | | | | | |            & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1)
% 197.27/34.37  | | | | | | |            = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4
% 197.27/34.37  | | | | | | |            = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.27/34.37  | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 197.27/34.37  | | | | | | |            all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.37  | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.27/34.37  | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.27/34.37  | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.37  | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7)
% 197.27/34.37  | | | | | | |            & $i(all_57_10))
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | | BETA: splitting (359) gives:
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | | Case 1:
% 197.27/34.37  | | | | | | | | 
% 197.27/34.37  | | | | | | | |   (360)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) & 
% 197.27/34.37  | | | | | | | |            ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.27/34.37  | | | | | | | |              e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 197.27/34.37  | | | | | | | |            & $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 197.27/34.37  | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.27/34.37  | | | | | | | |              e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.27/34.37  | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.37  | | | | | | | |            $i(all_57_5) & $i(all_57_10))
% 197.27/34.37  | | | | | | | | 
% 197.27/34.37  | | | | | | | | BETA: splitting (360) gives:
% 197.27/34.37  | | | | | | | | 
% 197.27/34.37  | | | | | | | | Case 1:
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | |   (361)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 197.27/34.37  | | | | | | | | |           ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.27/34.37  | | | | | | | | |            e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 197.27/34.37  | | | | | | | | |          & $i(all_57_4) & $i(all_57_10)
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | ALPHA: (361) implies:
% 197.27/34.37  | | | | | | | | |   (362)  op(e3, e2) = e3
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | REF_CLOSE: (22), (25), (79), (362) are inconsistent by
% 197.27/34.37  | | | | | | | | |            sub-proof #1972.
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | Case 2:
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | |   (363)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &
% 197.27/34.37  | | | | | | | | |           ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.27/34.37  | | | | | | | | |            e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2
% 197.27/34.37  | | | | | | | | |          & $i(all_57_5) & $i(all_57_10)
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | ALPHA: (363) implies:
% 197.27/34.37  | | | | | | | | |   (364)  op(e3, e2) = e3
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | GROUND_INST: instantiating (22) with all_52_4, e3, e2, e3,
% 197.27/34.37  | | | | | | | | |              simplifying with (25), (364) gives:
% 197.27/34.37  | | | | | | | | |   (365)  all_52_4 = e3
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | REDUCE: (79), (365) imply:
% 197.27/34.37  | | | | | | | | |   (366)  $false
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | CLOSE: (366) is inconsistent.
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | 
% 197.27/34.37  | | | | | | | Case 2:
% 197.27/34.37  | | | | | | | | 
% 197.27/34.37  | | | | | | | |   (367)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.27/34.37  | | | | | | | |            ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.37  | | | | | | | |            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.37  | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.27/34.37  | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 197.27/34.37  | | | | | | | |              e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.37  | | | | | | | |            op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.37  | | | | | | | |            $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.27/34.37  | | | | | | | |            all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.27/34.37  | | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.37  | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.27/34.37  | | | | | | | |            $i(all_57_7) & $i(all_57_10))
% 197.27/34.37  | | | | | | | | 
% 197.27/34.37  | | | | | | | | BETA: splitting (367) gives:
% 197.27/34.37  | | | | | | | | 
% 197.27/34.37  | | | | | | | | Case 1:
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | |   (368)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &
% 197.27/34.37  | | | | | | | | |           ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.37  | | | | | | | | |          all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.37  | | | | | | | | |          $i(all_57_3) & $i(all_57_14)
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | ALPHA: (368) implies:
% 197.27/34.37  | | | | | | | | |   (369)  op(e3, e3) = e2
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | REF_CLOSE: (22), (82), (85), (369) are inconsistent by
% 197.27/34.37  | | | | | | | | |            sub-proof #1957.
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | Case 2:
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | |   (370)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.27/34.37  | | | | | | | | |            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1,
% 197.27/34.37  | | | | | | | | |              e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.27/34.37  | | | | | | | | |              e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.27/34.37  | | | | | | | | |          (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.27/34.37  | | | | | | | | |            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.27/34.37  | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.37  | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | BETA: splitting (370) gives:
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | Case 1:
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | |   (371)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.27/34.37  | | | | | | | | | |          &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1,
% 197.27/34.37  | | | | | | | | | |            e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.27/34.37  | | | | | | | | | |            e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | ALPHA: (371) implies:
% 197.27/34.37  | | | | | | | | | |   (372)  all_57_15 = e2
% 197.27/34.37  | | | | | | | | | |   (373)   ~ (all_57_14 = e2)
% 197.27/34.37  | | | | | | | | | |   (374)   ~ (all_57_5 = e0)
% 197.27/34.37  | | | | | | | | | |   (375)  op(e0, e2) = all_57_5
% 197.27/34.37  | | | | | | | | | |   (376)  op(e1, e1) = all_57_14
% 197.27/34.37  | | | | | | | | | |   (377)  op(e1, e2) = e1
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | REF_CLOSE: (1), (5), (7), (8), (9), (18), (20), (21), (22),
% 197.27/34.37  | | | | | | | | | |            (25), (26), (35), (36), (42), (45), (46), (48),
% 197.27/34.37  | | | | | | | | | |            (51), (61), (62), (64), (68), (69), (72), (73),
% 197.27/34.37  | | | | | | | | | |            (74), (79), (82), (83), (84), (85), (130), (132),
% 197.27/34.37  | | | | | | | | | |            (356), (372), (373), (374), (375), (376), (377)
% 197.27/34.37  | | | | | | | | | |            are inconsistent by sub-proof #1512.
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | Case 2:
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | |   (378)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.27/34.37  | | | | | | | | | |          &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.27/34.37  | | | | | | | | | |          op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.27/34.37  | | | | | | | | | |          all_57_7 & $i(all_57_7) & $i(all_57_10)
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | ALPHA: (378) implies:
% 197.27/34.37  | | | | | | | | | |   (379)  op(e2, e2) = e1
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | | REF_CLOSE: (22), (26), (47), (379) are inconsistent by
% 197.27/34.37  | | | | | | | | | |            sub-proof #1969.
% 197.27/34.37  | | | | | | | | | | 
% 197.27/34.37  | | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | | 
% 197.27/34.37  | | | | | | | | End of split
% 197.27/34.37  | | | | | | | | 
% 197.27/34.37  | | | | | | | End of split
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | End of split
% 197.27/34.37  | | | | | | 
% 197.27/34.37  | | | | | Case 2:
% 197.27/34.37  | | | | | | 
% 197.27/34.37  | | | | | |   (380)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.37  | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 197.27/34.37  | | | | | |            e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.27/34.37  | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 197.27/34.37  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1)
% 197.27/34.37  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.27/34.37  | | | | | |            all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.37  | | | | | |            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 197.27/34.37  | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 197.27/34.37  | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 197.27/34.37  | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.27/34.37  | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.27/34.37  | | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 197.27/34.37  | | | | | |            e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.37  | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.27/34.37  | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 197.27/34.37  | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 197.27/34.37  | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.37  | | | | | |            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~
% 197.27/34.37  | | | | | |            (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.27/34.37  | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 & op(e2,
% 197.27/34.37  | | | | | |              e0) = e2 & $i(all_57_9) & $i(all_57_12)) | (all_57_10 =
% 197.27/34.37  | | | | | |            e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 197.27/34.37  | | | | | |              = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.37  | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.37  | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 197.27/34.37  | | | | | |            (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.27/34.37  | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 197.27/34.37  | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.27/34.37  | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.27/34.37  | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.27/34.37  | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.27/34.37  | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 197.27/34.37  | | | | | |            & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 197.27/34.37  | | | | | |                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.27/34.37  | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.37  | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.27/34.37  | | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.27/34.37  | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.27/34.37  | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.27/34.37  | | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.27/34.37  | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.27/34.37  | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 197.27/34.37  | | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.27/34.37  | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.27/34.37  | | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.37  | | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.27/34.37  | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.27/34.37  | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.27/34.37  | | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 197.27/34.37  | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.37  | | | | | |                $i(all_57_7))))
% 197.27/34.37  | | | | | | 
% 197.27/34.37  | | | | | | BETA: splitting (380) gives:
% 197.27/34.37  | | | | | | 
% 197.27/34.37  | | | | | | Case 1:
% 197.27/34.37  | | | | | | | 
% 197.27/34.37  | | | | | | |   (381)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.27/34.37  | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1)
% 197.27/34.37  | | | | | | |            = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.27/34.37  | | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 197.27/34.37  | | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.27/34.37  | | | | | | |              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.37  | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6)
% 197.27/34.37  | | | | | | |            & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 197.27/34.37  | | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 197.27/34.37  | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 197.27/34.37  | | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.27/34.37  | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) & 
% 197.27/34.37  | | | | | | |            ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.27/34.37  | | | | | | |              e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.27/34.37  | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.27/34.37  | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 197.27/34.37  | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.37  | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.27/34.38  | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 197.27/34.38  | | | | | | | 
% 197.27/34.38  | | | | | | | REF_CLOSE: (22), (62), (67), (81), (83), (85), (132), (381) are
% 197.27/34.38  | | | | | | |            inconsistent by sub-proof #1585.
% 197.27/34.38  | | | | | | | 
% 197.27/34.38  | | | | | | Case 2:
% 197.27/34.38  | | | | | | | 
% 197.27/34.38  | | | | | | |   (382)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) & 
% 197.27/34.38  | | | | | | |            ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.27/34.38  | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.27/34.38  | | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 197.27/34.38  | | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 197.27/34.38  | | | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.38  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 197.27/34.38  | | | | | | |            & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 & 
% 197.27/34.38  | | | | | | |            ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.27/34.38  | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 197.27/34.38  | | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.27/34.38  | | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 197.27/34.38  | | | | | | |            ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.27/34.38  | | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.27/34.38  | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.27/34.38  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 197.27/34.38  | | | | | | |                = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.38  | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 197.27/34.38  | | | | | | |                  e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.27/34.38  | | | | | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 197.27/34.38  | | | | | | |                  = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.27/34.38  | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.27/34.38  | | | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 197.27/34.38  | | | | | | |                  = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.27/34.38  | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.27/34.38  | | | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.38  | | | | | | |                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.38  | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.27/34.38  | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 197.27/34.38  | | | | | | |                  = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.38  | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.27/34.38  | | | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 197.27/34.38  | | | | | | |                  = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.27/34.38  | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 197.27/34.38  | | | | | | | 
% 197.27/34.38  | | | | | | | REF_CLOSE: (22), (26), (35), (45), (48), (51), (64), (75), (82),
% 197.27/34.38  | | | | | | |            (83), (84), (85), (130), (382) are inconsistent by
% 197.27/34.38  | | | | | | |            sub-proof #1584.
% 197.27/34.38  | | | | | | | 
% 197.27/34.38  | | | | | | End of split
% 197.27/34.38  | | | | | | 
% 197.27/34.38  | | | | | End of split
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | End of split
% 197.27/34.38  | | | | 
% 197.27/34.38  | | | End of split
% 197.27/34.38  | | | 
% 197.27/34.38  | | End of split
% 197.27/34.38  | | 
% 197.27/34.38  | Case 2:
% 197.27/34.38  | | 
% 197.27/34.38  | |   (383)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 197.27/34.38  | | 
% 197.27/34.38  | | REF_CLOSE: (3), (23), (54), (76), (383) are inconsistent by sub-proof #1952.
% 197.27/34.38  | | 
% 197.27/34.38  | End of split
% 197.27/34.38  | 
% 197.27/34.38  End of proof
% 197.27/34.38  
% 197.27/34.38  Sub-proof #1490 shows that the following formulas are inconsistent:
% 197.27/34.38  ----------------------------------------------------------------
% 197.27/34.38    (1)   ~ (e3 = e2)
% 197.27/34.38    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.38    (3)  all_56_11 = e2
% 197.27/34.38    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 197.27/34.38         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.27/34.38    (5)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.27/34.38         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.38    (6)  all_56_13 = e2
% 197.27/34.38    (7)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.27/34.38         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.27/34.38    (8)  all_56_7 = e3
% 197.27/34.38    (9)  all_56_14 = e3
% 197.27/34.38    (10)  op(e1, e1) = e0
% 197.27/34.38    (11)   ~ (e1 = e0)
% 197.27/34.38    (12)   ~ (e2 = e1)
% 197.27/34.38    (13)  all_56_12 = e0
% 197.27/34.38    (14)  op(e0, e0) = e2
% 197.27/34.38    (15)   ~ (e3 = e1)
% 197.27/34.38    (16)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.38          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.38    (17)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.38          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.38    (18)   ~ (e2 = e0)
% 197.27/34.38    (19)   ~ (e3 = e0)
% 197.27/34.38  
% 197.27/34.38  Begin of proof
% 197.27/34.38  | 
% 197.27/34.38  | BETA: splitting (7) gives:
% 197.27/34.38  | 
% 197.27/34.38  | Case 1:
% 197.27/34.38  | | 
% 197.27/34.38  | |   (20)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 197.27/34.38  | |           e1)
% 197.27/34.38  | | 
% 197.27/34.38  | | BETA: splitting (20) gives:
% 197.27/34.38  | | 
% 197.27/34.38  | | Case 1:
% 197.27/34.38  | | | 
% 197.27/34.38  | | |   (21)  all_56_6 = e1 & op(e1, e3) = e1
% 197.27/34.38  | | | 
% 197.27/34.38  | | | ALPHA: (21) implies:
% 197.27/34.38  | | |   (22)  all_56_6 = e1
% 197.27/34.38  | | | 
% 197.27/34.38  | | | BETA: splitting (5) gives:
% 197.27/34.38  | | | 
% 197.27/34.38  | | | Case 1:
% 197.27/34.38  | | | | 
% 197.27/34.38  | | | |   (23)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0,
% 197.27/34.38  | | | |             e2) = e1)
% 197.27/34.38  | | | | 
% 197.27/34.38  | | | | BETA: splitting (23) gives:
% 197.27/34.38  | | | | 
% 197.27/34.38  | | | | Case 1:
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | |   (24)  all_56_12 = e1 & op(e0, e3) = e1
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | ALPHA: (24) implies:
% 197.27/34.38  | | | | |   (25)  all_56_12 = e1
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | COMBINE_EQS: (13), (25) imply:
% 197.27/34.38  | | | | |   (26)  e1 = e0
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | COMBINE_EQS: (22), (26) imply:
% 197.27/34.38  | | | | |   (27)  all_56_6 = e0
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | REF_CLOSE: (1), (2), (3), (7), (8), (10), (11), (12), (15), (16),
% 197.27/34.38  | | | | |            (17), (18), (19), (27) are inconsistent by sub-proof #1564.
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | Case 2:
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | |   (28)  all_56_13 = e1 & op(e0, e2) = e1
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | REF_CLOSE: (1), (2), (3), (6), (8), (10), (12), (16), (18), (22), (28)
% 197.27/34.38  | | | | |            are inconsistent by sub-proof #1492.
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | End of split
% 197.27/34.38  | | | | 
% 197.27/34.38  | | | Case 2:
% 197.27/34.38  | | | | 
% 197.27/34.38  | | | |   (29)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 197.27/34.38  | | | |             e0) = e1)
% 197.27/34.38  | | | | 
% 197.27/34.38  | | | | BETA: splitting (29) gives:
% 197.27/34.38  | | | | 
% 197.27/34.38  | | | | Case 1:
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | |   (30)  all_56_14 = e1 & op(e0, e1) = e1
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | ALPHA: (30) implies:
% 197.27/34.38  | | | | |   (31)  all_56_14 = e1
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | COMBINE_EQS: (9), (31) imply:
% 197.27/34.38  | | | | |   (32)  e3 = e1
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | SIMP: (32) implies:
% 197.27/34.38  | | | | |   (33)  e3 = e1
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | COMBINE_EQS: (8), (33) imply:
% 197.27/34.38  | | | | |   (34)  all_56_7 = e1
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | REF_CLOSE: (1), (2), (3), (4), (11), (15), (17), (18), (19), (22),
% 197.27/34.38  | | | | |            (34) are inconsistent by sub-proof #1562.
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | Case 2:
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | |   (35)  all_56_15 = e1 & op(e0, e0) = e1
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | ALPHA: (35) implies:
% 197.27/34.38  | | | | |   (36)  op(e0, e0) = e1
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | | REF_CLOSE: (2), (12), (14), (36) are inconsistent by sub-proof #1780.
% 197.27/34.38  | | | | | 
% 197.27/34.38  | | | | End of split
% 197.27/34.38  | | | | 
% 197.27/34.38  | | | End of split
% 197.27/34.38  | | | 
% 197.27/34.38  | | Case 2:
% 197.27/34.38  | | | 
% 197.27/34.38  | | |   (37)  all_56_7 = e1 & op(e1, e2) = e1
% 197.27/34.38  | | | 
% 197.27/34.38  | | | REF_CLOSE: (8), (15), (37) are inconsistent by sub-proof #1771.
% 197.27/34.38  | | | 
% 197.27/34.38  | | End of split
% 197.27/34.38  | | 
% 197.27/34.38  | Case 2:
% 197.27/34.38  | | 
% 197.27/34.38  | |   (38)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 197.27/34.38  | |           e1)
% 197.27/34.38  | | 
% 197.27/34.38  | | REF_CLOSE: (2), (3), (10), (11), (12), (38) are inconsistent by sub-proof
% 197.27/34.38  | |            #1491.
% 197.27/34.38  | | 
% 197.27/34.38  | End of split
% 197.27/34.38  | 
% 197.27/34.38  End of proof
% 197.27/34.38  
% 197.27/34.38  Sub-proof #1491 shows that the following formulas are inconsistent:
% 197.27/34.38  ----------------------------------------------------------------
% 197.27/34.38    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.38    (2)  all_56_11 = e2
% 197.27/34.38    (3)  op(e1, e1) = e0
% 197.27/34.38    (4)   ~ (e1 = e0)
% 197.27/34.38    (5)   ~ (e2 = e1)
% 197.27/34.38    (6)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.27/34.38  
% 197.27/34.38  Begin of proof
% 197.27/34.38  | 
% 197.27/34.38  | BETA: splitting (6) gives:
% 197.27/34.38  | 
% 197.27/34.38  | Case 1:
% 197.27/34.38  | | 
% 197.27/34.38  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 197.27/34.38  | | 
% 197.27/34.38  | | ALPHA: (7) implies:
% 197.27/34.38  | |   (8)  op(e1, e1) = e1
% 197.27/34.38  | | 
% 197.27/34.38  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1959.
% 197.27/34.38  | | 
% 197.27/34.38  | Case 2:
% 197.27/34.38  | | 
% 197.27/34.38  | |   (9)  all_56_11 = e1 & op(e1, e0) = e1
% 197.27/34.38  | | 
% 197.27/34.38  | | REF_CLOSE: (2), (5), (9) are inconsistent by sub-proof #1538.
% 197.27/34.38  | | 
% 197.27/34.38  | End of split
% 197.27/34.38  | 
% 197.27/34.38  End of proof
% 197.27/34.38  
% 197.27/34.38  Sub-proof #1492 shows that the following formulas are inconsistent:
% 197.27/34.38  ----------------------------------------------------------------
% 197.27/34.38    (1)   ~ (e3 = e2)
% 197.27/34.38    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.38    (3)  all_56_13 = e1 & op(e0, e2) = e1
% 197.27/34.38    (4)  all_56_11 = e2
% 197.27/34.38    (5)  all_56_13 = e2
% 197.27/34.38    (6)  all_56_7 = e3
% 197.27/34.38    (7)  op(e1, e1) = e0
% 197.27/34.38    (8)  all_56_6 = e1
% 197.27/34.38    (9)   ~ (e2 = e1)
% 197.27/34.38    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.38          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.38    (11)   ~ (e2 = e0)
% 197.27/34.38  
% 197.27/34.38  Begin of proof
% 197.27/34.38  | 
% 197.27/34.38  | ALPHA: (3) implies:
% 197.27/34.38  |   (12)  all_56_13 = e1
% 197.27/34.38  | 
% 197.27/34.38  | COMBINE_EQS: (5), (12) imply:
% 197.27/34.38  |   (13)  e2 = e1
% 197.27/34.38  | 
% 197.27/34.38  | SIMP: (13) implies:
% 197.27/34.38  |   (14)  e2 = e1
% 197.27/34.38  | 
% 197.27/34.38  | COMBINE_EQS: (4), (14) imply:
% 197.27/34.38  |   (15)  all_56_11 = e1
% 197.27/34.38  | 
% 197.27/34.38  | REF_CLOSE: (1), (2), (6), (7), (8), (9), (10), (11), (15) are inconsistent by
% 197.27/34.38  |            sub-proof #1613.
% 197.27/34.38  | 
% 197.27/34.38  End of proof
% 197.27/34.38  
% 197.27/34.38  Sub-proof #1493 shows that the following formulas are inconsistent:
% 197.27/34.38  ----------------------------------------------------------------
% 197.27/34.38    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.38         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.38    (2)   ~ (all_52_4 = e3)
% 197.27/34.38    (3)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.27/34.38         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.38    (4)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.27/34.38           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.27/34.38           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.27/34.38                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.27/34.38               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.27/34.38               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.27/34.38           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.27/34.38           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.27/34.38               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.27/34.38           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.27/34.38               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.27/34.38           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.27/34.38           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.27/34.38               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.27/34.38               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.38               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.38         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.27/34.38           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.27/34.38           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.27/34.38               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.38             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.38         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.27/34.38           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.27/34.38           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.27/34.38                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.27/34.38               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.27/34.38               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.27/34.38           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.27/34.38           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.38             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.38           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.38               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.27/34.38           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.27/34.38           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.27/34.38               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.27/34.38               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.27/34.38               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.38         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.27/34.38           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.27/34.38           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.27/34.38               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.38             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.38         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.27/34.38           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.27/34.38           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.27/34.38                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.27/34.38               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.27/34.38               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.27/34.38           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.27/34.38             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.27/34.38               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.38           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.38               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.27/34.38           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.27/34.38           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.27/34.38               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.27/34.38               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.27/34.38               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.27/34.38         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.27/34.38           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.27/34.38           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.27/34.38               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.27/34.38             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.27/34.38         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.27/34.38             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.27/34.38           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.27/34.38               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.27/34.38             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.27/34.38         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.27/34.38             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.27/34.38           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.27/34.38               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.27/34.38             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.27/34.38         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.27/34.38             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.27/34.38           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.27/34.38               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.27/34.38             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.27/34.38         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.27/34.38             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.27/34.38           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.27/34.38               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.27/34.38             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.27/34.38    (5)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.27/34.38         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.27/34.38    (6)  op(e1, e2) = all_52_6
% 197.27/34.38    (7)   ~ (all_52_14 = e0)
% 197.27/34.38    (8)   ~ (all_52_6 = e0)
% 197.27/34.38    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.27/34.38         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.27/34.38    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.27/34.38          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.27/34.38    (11)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.27/34.38          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.27/34.38    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.27/34.38          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.27/34.38    (13)   ~ (all_52_6 = all_52_7)
% 197.27/34.38    (14)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.38          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.27/34.38    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.27/34.38          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.27/34.38    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.27/34.38          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.27/34.38    (17)   ~ (all_52_13 = e2)
% 197.27/34.38    (18)   ~ (e3 = e2)
% 197.27/34.38    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.27/34.38            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.27/34.38    (20)  op(e3, e2) = all_52_4
% 197.27/34.38    (21)  op(e2, e2) = all_4_2
% 197.27/34.38    (22)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.27/34.38          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.27/34.38    (23)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.27/34.38          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.27/34.38    (24)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.27/34.38          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.27/34.38    (25)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 197.27/34.38          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.27/34.38    (26)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.27/34.38          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.27/34.38            e1)
% 197.27/34.38    (27)   ~ (all_52_8 = e3)
% 197.27/34.38    (28)  all_56_14 = e2
% 197.27/34.38    (29)  op(e2, e0) = all_52_13
% 197.27/34.38    (30)  op(e1, e0) = all_52_14
% 197.27/34.38    (31)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.38          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.27/34.39    (32)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.27/34.39              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.27/34.39            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.27/34.39            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.27/34.39            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.27/34.39            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.27/34.39            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.27/34.39            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.27/34.39            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.27/34.39            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.27/34.39            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.27/34.39            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.27/34.39            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.39            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.27/34.39            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.27/34.39            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.27/34.39            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.27/34.39            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.27/34.39            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.27/34.39            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.27/34.39            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.27/34.39            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.27/34.39            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.27/34.39            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.27/34.39            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.39            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.27/34.39            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.39            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.27/34.39            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.39            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.27/34.39            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.27/34.39            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.27/34.39            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.27/34.39            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.27/34.39            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.27/34.39            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.39            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.39            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.27/34.39            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.27/34.39            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.27/34.39            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.27/34.39            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.27/34.39            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.39            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.27/34.39            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.27/34.39            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.27/34.39            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.27/34.39            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.27/34.39              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.27/34.39            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.27/34.39            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.27/34.39              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.27/34.39            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.27/34.39            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.27/34.39                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.27/34.39                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.27/34.39                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.27/34.39                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.27/34.39                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.27/34.39                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.27/34.39                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.27/34.39              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.27/34.39                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.27/34.39                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.27/34.39                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.27/34.39                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.27/34.39                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.27/34.39                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.27/34.39                $i(all_57_7))))
% 197.27/34.39    (33)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.27/34.39          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.27/34.39    (34)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.27/34.39          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.27/34.39    (35)  op(e0, e1) = all_52_11
% 197.27/34.39    (36)  op(e3, e3) = e3
% 197.27/34.39    (37)   ~ (all_52_12 = e3)
% 197.27/34.39    (38)   ~ (all_52_6 = all_52_14)
% 197.27/34.39    (39)   ~ (all_4_2 = e1)
% 197.27/34.39    (40)  op(e1, e1) = e0
% 197.27/34.39    (41)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.27/34.39          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.27/34.39    (42)   ~ (all_4_2 = e3)
% 197.27/34.39    (43)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.27/34.39          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.39    (44)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.27/34.39          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.27/34.39    (45)   ~ (e1 = e0)
% 197.27/34.39    (46)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 197.27/34.39          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.27/34.39    (47)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.27/34.39          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.27/34.39    (48)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.27/34.39              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.27/34.39                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.27/34.39                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.27/34.39    (49)   ~ (e2 = e1)
% 197.27/34.39    (50)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.27/34.39          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.27/34.39    (51)   ~ (all_52_11 = e0)
% 197.27/34.39    (52)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 197.27/34.39          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 197.27/34.39    (53)  op(e3, e0) = all_52_12
% 197.27/34.39    (54)   ~ (all_52_6 = all_4_2)
% 197.27/34.39    (55)   ~ (all_52_4 = all_52_6)
% 197.27/34.39    (56)  op(e3, e1) = all_52_8
% 197.27/34.39    (57)  op(e0, e0) = e2
% 197.27/34.39    (58)   ~ (e3 = e1)
% 197.27/34.39    (59)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.27/34.39          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.27/34.39    (60)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.27/34.39          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.27/34.39    (61)  op(e0, e2) = all_52_7
% 197.27/34.39    (62)   ~ (e2 = e0)
% 197.27/34.39    (63)   ~ (e3 = e0)
% 197.27/34.39  
% 197.27/34.39  Begin of proof
% 197.27/34.39  | 
% 197.27/34.39  | BETA: splitting (47) gives:
% 197.27/34.39  | 
% 197.27/34.39  | Case 1:
% 197.27/34.39  | | 
% 197.27/34.39  | |   (64)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 197.27/34.39  | |           e3)
% 197.27/34.39  | | 
% 197.27/34.39  | | BETA: splitting (64) gives:
% 197.27/34.39  | | 
% 197.27/34.39  | | Case 1:
% 197.27/34.39  | | | 
% 197.27/34.39  | | |   (65)  all_56_4 = e3 & op(e3, e1) = e3
% 197.27/34.39  | | | 
% 197.27/34.39  | | | ALPHA: (65) implies:
% 197.27/34.39  | | |   (66)  op(e3, e1) = e3
% 197.27/34.39  | | | 
% 197.27/34.39  | | | REF_CLOSE: (19), (27), (56), (66) are inconsistent by sub-proof #1759.
% 197.27/34.39  | | | 
% 197.27/34.39  | | Case 2:
% 197.43/34.39  | | | 
% 197.43/34.39  | | |   (67)  all_56_5 = e3 & op(e2, e1) = e3
% 197.43/34.39  | | | 
% 197.43/34.39  | | | ALPHA: (67) implies:
% 197.43/34.39  | | |   (68)  all_56_5 = e3
% 197.43/34.39  | | | 
% 197.43/34.39  | | | BETA: splitting (3) gives:
% 197.43/34.39  | | | 
% 197.43/34.39  | | | Case 1:
% 197.43/34.39  | | | | 
% 197.43/34.39  | | | |   (69)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0,
% 197.43/34.39  | | | |             e2) = e3)
% 197.43/34.39  | | | | 
% 197.43/34.39  | | | | BETA: splitting (69) gives:
% 197.43/34.39  | | | | 
% 197.43/34.39  | | | | Case 1:
% 197.43/34.39  | | | | | 
% 197.43/34.39  | | | | |   (70)  all_56_12 = e3 & op(e0, e3) = e3
% 197.43/34.39  | | | | | 
% 197.43/34.39  | | | | | ALPHA: (70) implies:
% 197.43/34.39  | | | | |   (71)  all_56_12 = e3
% 197.43/34.39  | | | | | 
% 197.43/34.39  | | | | | REF_CLOSE: (9), (15), (16), (18), (19), (23), (24), (28), (34), (36),
% 197.43/34.39  | | | | |            (40), (45), (47), (49), (58), (59), (60), (62), (63), (68),
% 197.43/34.39  | | | | |            (71) are inconsistent by sub-proof #1508.
% 197.43/34.39  | | | | | 
% 197.43/34.39  | | | | Case 2:
% 197.43/34.39  | | | | | 
% 197.43/34.39  | | | | |   (72)  all_56_13 = e3 & op(e0, e2) = e3
% 197.43/34.39  | | | | | 
% 197.43/34.39  | | | | | ALPHA: (72) implies:
% 197.43/34.39  | | | | |   (73)  all_56_13 = e3
% 197.43/34.39  | | | | | 
% 197.43/34.39  | | | | | BETA: splitting (32) gives:
% 197.43/34.39  | | | | | 
% 197.43/34.39  | | | | | Case 1:
% 197.43/34.39  | | | | | | 
% 197.43/34.39  | | | | | |   (74)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.43/34.39  | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.43/34.39  | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.43/34.39  | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 & all_57_15
% 197.43/34.39  | | | | | |           = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2,
% 197.43/34.39  | | | | | |             e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.43/34.39  | | | | | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.43/34.39  | | | | | |         | (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.43/34.39  | | | | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3
% 197.43/34.39  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0)
% 197.43/34.39  | | | | | |           & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 197.43/34.39  | | | | | |           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.43/34.39  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 197.43/34.39  | | | | | |             e0) = e3 & $i(all_57_2) & $i(all_57_14)) | (all_57_3 =
% 197.43/34.39  | | | | | |           e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.43/34.39  | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1,
% 197.43/34.39  | | | | | |             e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.43/34.39  | | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.43/34.39  | | | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.43/34.39  | | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 197.43/34.39  | | | | | |           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 197.43/34.39  | | | | | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.43/34.39  | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 197.43/34.39  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 197.43/34.39  | | | | | |           & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 197.43/34.39  | | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.43/34.39  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.43/34.39  | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 197.43/34.39  | | | | | |           e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.43/34.39  | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 197.43/34.39  | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.43/34.39  | | | | | |           $i(all_57_10))
% 197.43/34.39  | | | | | | 
% 197.43/34.39  | | | | | | BETA: splitting (74) gives:
% 197.43/34.39  | | | | | | 
% 197.43/34.39  | | | | | | Case 1:
% 197.43/34.39  | | | | | | | 
% 197.43/34.39  | | | | | | |   (75)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.43/34.39  | | | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.43/34.39  | | | | | | |           all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.43/34.39  | | | | | | |           $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 197.43/34.39  | | | | | | |           all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 197.43/34.39  | | | | | | |             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.43/34.39  | | | | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.43/34.39  | | | | | | |           $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3 &  ~
% 197.43/34.39  | | | | | | |           (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.43/34.39  | | | | | | |           all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1,
% 197.43/34.39  | | | | | | |             e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.43/34.39  | | | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.43/34.39  | | | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 197.43/34.39  | | | | | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.43/34.39  | | | | | | |           $i(all_57_2) & $i(all_57_14))
% 197.43/34.39  | | | | | | | 
% 197.43/34.39  | | | | | | | REF_CLOSE: (18), (19), (21), (40), (42), (57), (63), (75) are
% 197.43/34.39  | | | | | | |            inconsistent by sub-proof #1590.
% 197.43/34.39  | | | | | | | 
% 197.43/34.39  | | | | | | Case 2:
% 197.43/34.39  | | | | | | | 
% 197.43/34.39  | | | | | | |   (76)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.43/34.39  | | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 197.43/34.39  | | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.43/34.39  | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 197.43/34.39  | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.43/34.39  | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.43/34.39  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.43/34.39  | | | | | | |           $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.43/34.39  | | | | | | |           (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2
% 197.43/34.39  | | | | | | |           & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1) =
% 197.43/34.39  | | | | | | |           all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 =
% 197.43/34.39  | | | | | | |           e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.43/34.39  | | | | | | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.43/34.39  | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.43/34.39  | | | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 197.43/34.39  | | | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.43/34.39  | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 197.43/34.39  | | | | | | |             e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.43/34.39  | | | | | | | 
% 197.43/34.39  | | | | | | | BETA: splitting (76) gives:
% 197.43/34.39  | | | | | | | 
% 197.43/34.39  | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | 
% 197.43/34.39  | | | | | | | |   (77)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) & 
% 197.43/34.39  | | | | | | | |           ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.43/34.39  | | | | | | | |             e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.43/34.39  | | | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 &
% 197.43/34.39  | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.43/34.39  | | | | | | | |             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.43/34.39  | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 197.43/34.39  | | | | | | | |           & $i(all_57_10))
% 197.43/34.39  | | | | | | | | 
% 197.43/34.39  | | | | | | | | REF_CLOSE: (2), (19), (20), (77) are inconsistent by sub-proof
% 197.43/34.39  | | | | | | | |            #1971.
% 197.43/34.39  | | | | | | | | 
% 197.43/34.39  | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | 
% 197.43/34.39  | | | | | | | |   (78)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.43/34.39  | | | | | | | |           ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.43/34.39  | | | | | | | |           all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.43/34.39  | | | | | | | |           $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.43/34.39  | | | | | | | |           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 197.43/34.39  | | | | | | | |             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.43/34.39  | | | | | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 197.43/34.39  | | | | | | | |           & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 & 
% 197.43/34.39  | | | | | | | |           ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.43/34.39  | | | | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2,
% 197.43/34.39  | | | | | | | |             e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.43/34.39  | | | | | | | | 
% 197.43/34.39  | | | | | | | | BETA: splitting (78) gives:
% 197.43/34.39  | | | | | | | | 
% 197.43/34.39  | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | 
% 197.43/34.39  | | | | | | | | |   (79)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.43/34.39  | | | | | | | | |         ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.43/34.39  | | | | | | | | |         all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.43/34.39  | | | | | | | | |         $i(all_57_3) & $i(all_57_14)
% 197.43/34.39  | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | ALPHA: (79) implies:
% 197.43/34.39  | | | | | | | | |   (80)  op(e3, e3) = e2
% 197.43/34.39  | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | REF_CLOSE: (18), (19), (36), (80) are inconsistent by
% 197.43/34.39  | | | | | | | | |            sub-proof #1957.
% 197.43/34.39  | | | | | | | | | 
% 197.43/34.39  | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | 
% 197.43/34.39  | | | | | | | | |   (81)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &
% 197.43/34.39  | | | | | | | | |            ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 197.43/34.39  | | | | | | | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2
% 197.43/34.39  | | | | | | | | |           & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.43/34.39  | | | | | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.43/34.39  | | | | | | | | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.43/34.39  | | | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.43/34.39  | | | | | | | | |           $i(all_57_7) & $i(all_57_10))
% 197.43/34.39  | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | BETA: splitting (81) gives:
% 197.43/34.39  | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | |   (82)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.43/34.39  | | | | | | | | | |         &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1)
% 197.43/34.39  | | | | | | | | | |         = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 197.43/34.39  | | | | | | | | | |         e2 & $i(all_57_5) & $i(all_57_14)
% 197.43/34.39  | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | ALPHA: (82) implies:
% 197.43/34.39  | | | | | | | | | |   (83)  all_57_15 = e2
% 197.43/34.39  | | | | | | | | | |   (84)   ~ (all_57_14 = e2)
% 197.43/34.39  | | | | | | | | | |   (85)   ~ (all_57_5 = e0)
% 197.43/34.39  | | | | | | | | | |   (86)  op(e0, e2) = all_57_5
% 197.43/34.39  | | | | | | | | | |   (87)  op(e1, e1) = all_57_14
% 197.43/34.39  | | | | | | | | | |   (88)  op(e1, e2) = e1
% 197.43/34.39  | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | BETA: splitting (24) gives:
% 197.43/34.39  | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | |   (89)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 197.43/34.39  | | | | | | | | | | |           & op(e2, e1) = e1)
% 197.43/34.39  | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | BETA: splitting (89) gives:
% 197.43/34.39  | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | |   (90)  all_56_4 = e1 & op(e3, e1) = e1
% 197.43/34.39  | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | ALPHA: (90) implies:
% 197.43/34.39  | | | | | | | | | | | |   (91)  all_56_4 = e1
% 197.43/34.39  | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | BETA: splitting (48) gives:
% 197.43/34.39  | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | |   (92)  all_56_15 = e0 & op(e0, e0) = e0
% 197.43/34.39  | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | ALPHA: (92) implies:
% 197.43/34.39  | | | | | | | | | | | | |   (93)  op(e0, e0) = e0
% 197.43/34.39  | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | BETA: splitting (52) gives:
% 197.43/34.39  | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | |   (94)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 197.43/34.39  | | | | | | | | | | | | | |           e2 & op(e2, e0) = e2)
% 197.43/34.39  | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 197.43/34.39  | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | |   (95)  all_56_9 = e2 & op(e3, e0) = e2
% 197.43/34.39  | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | ALPHA: (95) implies:
% 197.43/34.39  | | | | | | | | | | | | | | |   (96)  all_56_9 = e2
% 197.43/34.39  | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | |   (97)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 197.43/34.39  | | | | | | | | | | | | | | | |           e1 & op(e0, e2) = e1)
% 197.43/34.39  | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | |   (98)  all_56_12 = e1 & op(e0, e3) = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | ALPHA: (98) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | |   (99)  all_56_12 = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | BETA: splitting (15) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | |   (100)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 197.43/34.39  | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | |   (101)  all_56_0 = e0 & op(e3, e3) = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | ALPHA: (101) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | |   (102)  op(e3, e3) = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (36), (63), (102) are inconsistent by
% 197.43/34.39  | | | | | | | | | | | | | | | | | | |            sub-proof #1961.
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | |   (103)  all_56_2 = e0 & op(e2, e3) = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | ALPHA: (103) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | |   (104)  all_56_2 = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | |   (105)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | |   (106)  all_56_0 = e0 & op(e3, e3) = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | ALPHA: (106) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | |   (107)  op(e3, e3) = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (36), (63), (107) are inconsistent by
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1961.
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | |   (108)  all_56_1 = e0 & op(e3, e2) = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | ALPHA: (108) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | |   (109)  all_56_1 = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | |   (110)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | |   (111)  all_56_0 = e2 & op(e3, e3) = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (111) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | |   (112)  op(e3, e3) = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (36), (112) are inconsistent by
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1957.
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | |   (113)  all_56_2 = e2 & op(e2, e3) = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (62), (104), (113) are inconsistent by sub-proof
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | |            #1507.
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | |   (114)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | |   (115)  all_56_6 = e2 & op(e1, e3) = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (115) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | |   (116)  all_56_6 = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | |   (117)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (118)  all_56_2 = e2 & op(e2, e3) = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (118) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (119)  all_56_2 = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (104), (119) imply:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (120)  e2 = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (120) imply:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (121)  all_56_6 = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (23), (24), (34), (40), (45), (47),
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (58), (59), (60), (62), (63), (91), (121)
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1574.
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (122)  all_56_3 = e2 & op(e2, e2) = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (122) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (123)  op(e2, e2) = e2
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (124)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (125)  all_56_1 = e1 & op(e3, e2) = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (23), (24), (40), (45), (47), (49),
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (62), (63), (91), (109), (125) are
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1506.
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (126)  all_56_3 = e1 & op(e2, e2) = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (126) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (127)  op(e2, e2) = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (49), (123), (127) are inconsistent by
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1783.
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (128)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (129)  all_56_7 = e1 & op(e1, e2) = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (130)  all_56_7 = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (131)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (132)  all_56_0 = e1 & op(e3, e3) = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (132) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (133)  op(e3, e3) = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (36), (58), (133) are inconsistent by
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (134)  all_56_1 = e1 & op(e3, e2) = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (23), (24), (40), (45), (47), (49),
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (62), (63), (91), (109), (134) are
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1506.
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (135)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with e0, e2, e0, e0,
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (57), (93) gives:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (136)  e2 = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (136) imply:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (137)  all_56_6 = e0
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (40), (49), (58), (59), (60), (62),
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (130), (137) are inconsistent by sub-proof
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1579.
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (138)  all_56_9 = e1 & op(e3, e0) = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (138) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (139)  all_56_9 = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (139) imply:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (140)  e2 = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (140) implies:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (141)  e2 = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (141) imply:
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (142)  all_56_6 = e1
% 197.43/34.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (40), (49), (58), (59), (60), (62),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (130), (142) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1616.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (143)  all_56_13 = e1 & op(e0, e2) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (144)  all_56_13 = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (73), (144) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1864.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | |   (145)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (146)  all_56_5 = e2 & op(e2, e1) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (147)  all_56_5 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (68), (147) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |            #1735.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (148)  all_56_10 = e2 & op(e2, e0) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (149)  op(e2, e0) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (29), (149) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1662.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |   (150)  all_56_12 = e2 & op(e0, e3) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |   (151)  all_56_12 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (10), (12), (15), (16), (17), (18),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |            (19), (21), (22), (23), (24), (26), (29), (32),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |            (34), (35), (36), (37), (39), (40), (41), (42),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |            (45), (47), (48), (49), (51), (53), (57), (58),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |            (59), (60), (62), (63), (96), (109), (151) are
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1573.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | |   (152)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (23), (24), (40), (45), (47), (49),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | |            (58), (62), (63), (96), (152) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | |            sub-proof #1571.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | |   (153)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 197.43/34.40  | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (154)  all_56_6 = e0 & op(e1, e3) = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (155)  all_56_6 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (23), (24), (34), (40), (45), (47),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            (49), (58), (59), (60), (62), (63), (91), (155)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1574.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (156)  all_56_12 = e0 & op(e0, e3) = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (23), (24), (40), (45), (47), (49),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            (58), (62), (63), (91), (99), (156) are
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1505.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | |   (157)  all_56_13 = e1 & op(e0, e2) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (73), (157) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | |            #1902.
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | |   (158)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 197.43/34.40  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | |   (159)  all_56_14 = e1 & op(e0, e1) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (49), (159) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | |            #1510.
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | |   (160)  all_56_15 = e1 & op(e0, e0) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | |   (161)  op(e0, e0) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (45), (93), (161) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | | | |            sub-proof #1943.
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | |   (162)  all_56_10 = e2 & op(e2, e0) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 197.43/34.40  | | | | | | | | | | | | | | |   (163)  op(e2, e0) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (29), (163) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | |            sub-proof #1662.
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | |   (164)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 197.43/34.40  | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 197.43/34.40  | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 197.43/34.40  | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | |   (165)  all_56_11 = e2 & op(e1, e0) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | ALPHA: (165) implies:
% 197.43/34.40  | | | | | | | | | | | | | | |   (166)  all_56_11 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | |   (167)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 197.43/34.40  | | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | |   (168)  all_56_6 = e3 & op(e1, e3) = e3
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | |   (169)  all_56_6 = e3
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | |   (170)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (18), (19), (36), (45), (49), (58),
% 197.43/34.40  | | | | | | | | | | | | | | | | | |            (62), (63), (169), (170) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | | | | |            sub-proof #1544.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | |   (171)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 197.43/34.40  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (172)  all_56_6 = e2 & op(e1, e3) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (173)  all_56_6 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (169), (173) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            #1504.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (174)  all_56_12 = e2 & op(e0, e3) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (175)  all_56_12 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (10), (11), (12), (14), (15), (16),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            (17), (18), (19), (21), (22), (23), (24), (25),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            (26), (27), (29), (31), (32), (33), (34), (35),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            (36), (37), (39), (40), (41), (42), (43), (44),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (49), (50), (51), (53),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            (56), (57), (58), (59), (60), (62), (63), (166),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            (175) are inconsistent by sub-proof #1537.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | |   (176)  all_56_7 = e3 & op(e1, e2) = e3
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | |   (177)  all_56_7 = e3
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | |   (178)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (179)  all_56_1 = e1 & op(e3, e2) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (180)  all_56_1 = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | |   (181)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | |   (182)  all_56_1 = e2 & op(e3, e2) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (180), (182) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | |            #1503.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | |   (183)  all_56_3 = e2 & op(e2, e2) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | |   (184)  op(e2, e2) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | |   (185)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (36), (45), (63), (180), (185) are
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1533.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | |   (186)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_56_4 = e0 & op(e3, e1) = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_56_4 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (23), (24), (40), (45), (47), (49),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |            (58), (62), (63), (188) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |   (189)  all_56_9 = e0 & op(e3, e0) = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (189) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_56_9 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | |   (191)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (36), (49), (180), (191) are
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1502.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_56_4 = e2 & op(e3, e1) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_56_4 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (90), (194) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1756.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_56_5 = e1 & op(e2, e1) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (195) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_56_5 = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (68), (196) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1825.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e1) = e1)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_56_8 = e1 & op(e1, e1) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  op(e1, e1) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (40), (45), (199) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1959.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_56_14 = e1 & op(e0, e1) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_56_14 = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_56_1 = e0 & op(e3, e2) = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (180), (203) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1534.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_56_3 = e0 & op(e2, e2) = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  op(e2, e2) = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (62), (184), (205) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1939.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_56_7 = e0 & op(e1, e2) = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_56_7 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (177), (208) imply:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  e3 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (23), (40), (47), (49), (58), (62),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (68), (201), (209) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1501.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_56_13 = e0 & op(e0, e2) = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_56_13 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (211) imply:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  e3 = e0
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (23), (40), (47), (49), (58), (62),
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (68), (201), (212) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1501.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_56_9 = e2 & op(e3, e0) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_56_9 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (62), (190), (214) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | |            #1919.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | |   (215)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | |   (216)  all_56_7 = e2 & op(e1, e2) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (177), (216) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | |            #1925.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | |   (217)  all_56_13 = e2 & op(e0, e2) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (73), (217) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | |            #1905.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (218)  all_56_3 = e1 & op(e2, e2) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (219)  op(e2, e2) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (39), (219) are inconsistent by
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            sub-proof #1969.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | |   (220)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 197.43/34.40  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (221)  all_56_7 = e1 & op(e1, e2) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (177), (221) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            #1771.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |   (222)  all_56_13 = e1 & op(e0, e2) = e1
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (73), (222) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | | | | |            #1902.
% 197.43/34.40  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | |   (223)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 197.43/34.40  | | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (18), (19), (28), (45), (62), (63), (68),
% 197.43/34.40  | | | | | | | | | | | | | | | |            (91), (166), (223) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | | | | |            #1496.
% 197.43/34.40  | | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | |   (224)  all_56_15 = e2 & op(e0, e0) = e2
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | ALPHA: (224) implies:
% 197.43/34.40  | | | | | | | | | | | | | | |   (225)  all_56_15 = e2
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (13), (15), (16),
% 197.43/34.40  | | | | | | | | | | | | | | |            (17), (18), (19), (20), (21), (29), (30), (34),
% 197.43/34.40  | | | | | | | | | | | | | | |            (35), (36), (38), (40), (42), (48), (49), (51),
% 197.43/34.40  | | | | | | | | | | | | | | |            (54), (55), (57), (58), (59), (60), (61), (63),
% 197.43/34.40  | | | | | | | | | | | | | | |            (83), (84), (85), (86), (87), (88), (225) are
% 197.43/34.40  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1512.
% 197.43/34.40  | | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | |   (226)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 197.43/34.40  | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 197.43/34.40  | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 197.43/34.40  | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.43/34.40  | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 197.43/34.40  | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | ALPHA: (226) implies:
% 197.43/34.40  | | | | | | | | | | | | |   (227)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 197.43/34.40  | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 197.43/34.40  | | | | | | | | | | | | |              e1) = e0)
% 197.43/34.40  | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | | REF_CLOSE: (19), (26), (28), (45), (49), (57), (58), (62),
% 197.43/34.40  | | | | | | | | | | | | |            (63), (73), (227) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | | |            #1693.
% 197.43/34.40  | | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | |   (228)  all_56_5 = e1 & op(e2, e1) = e1
% 197.43/34.40  | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | | REF_CLOSE: (58), (68), (228) are inconsistent by sub-proof
% 197.43/34.40  | | | | | | | | | | | |            #1749.
% 197.43/34.40  | | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | |   (229)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 197.43/34.40  | | | | | | | | | | |            e1 & op(e0, e1) = e1)
% 197.43/34.40  | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | | REF_CLOSE: (19), (28), (40), (45), (49), (229) are
% 197.43/34.40  | | | | | | | | | | |            inconsistent by sub-proof #1509.
% 197.43/34.40  | | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | Case 2:
% 197.43/34.40  | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | |   (230)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.43/34.40  | | | | | | | | | |          &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.43/34.40  | | | | | | | | | |          op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.43/34.40  | | | | | | | | | |          all_57_7 & $i(all_57_7) & $i(all_57_10)
% 197.43/34.40  | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | ALPHA: (230) implies:
% 197.43/34.40  | | | | | | | | | |   (231)  op(e2, e2) = e1
% 197.43/34.40  | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | | REF_CLOSE: (19), (21), (39), (231) are inconsistent by
% 197.43/34.40  | | | | | | | | | |            sub-proof #1969.
% 197.43/34.40  | | | | | | | | | | 
% 197.43/34.40  | | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | | 
% 197.43/34.40  | | | | | | | | End of split
% 197.43/34.40  | | | | | | | | 
% 197.43/34.40  | | | | | | | End of split
% 197.43/34.40  | | | | | | | 
% 197.43/34.40  | | | | | | End of split
% 197.43/34.40  | | | | | | 
% 197.43/34.40  | | | | | Case 2:
% 197.43/34.40  | | | | | | 
% 197.43/34.40  | | | | | |   (232)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.43/34.40  | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 197.43/34.40  | | | | | |            e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.43/34.40  | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 197.43/34.40  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1)
% 197.43/34.40  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.43/34.40  | | | | | |            all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.43/34.40  | | | | | |            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 197.43/34.40  | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 197.43/34.40  | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 197.43/34.40  | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.43/34.40  | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.43/34.40  | | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 197.43/34.40  | | | | | |            e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.43/34.40  | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.43/34.40  | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 197.43/34.40  | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 197.43/34.40  | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.43/34.40  | | | | | |            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~
% 197.43/34.40  | | | | | |            (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.43/34.40  | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 & op(e2,
% 197.43/34.40  | | | | | |              e0) = e2 & $i(all_57_9) & $i(all_57_12)) | (all_57_10 =
% 197.43/34.40  | | | | | |            e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 197.43/34.40  | | | | | |              = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.43/34.40  | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.43/34.40  | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 197.43/34.40  | | | | | |            (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.43/34.40  | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 197.43/34.40  | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.43/34.40  | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.43/34.40  | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.43/34.40  | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.43/34.40  | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 197.43/34.40  | | | | | |            & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 197.43/34.40  | | | | | |                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.43/34.40  | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.43/34.40  | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.43/34.40  | | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.43/34.40  | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.43/34.40  | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.43/34.40  | | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.43/34.40  | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.43/34.40  | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 197.43/34.40  | | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.43/34.40  | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.43/34.40  | | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.43/34.40  | | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.43/34.40  | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.43/34.40  | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.43/34.40  | | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 197.43/34.40  | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.43/34.40  | | | | | |                $i(all_57_7))))
% 197.43/34.40  | | | | | | 
% 197.43/34.40  | | | | | | BETA: splitting (232) gives:
% 197.43/34.40  | | | | | | 
% 197.43/34.40  | | | | | | Case 1:
% 197.43/34.40  | | | | | | | 
% 197.43/34.40  | | | | | | |   (233)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.43/34.40  | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1)
% 197.43/34.40  | | | | | | |            = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.43/34.40  | | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 197.43/34.40  | | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.43/34.40  | | | | | | |              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.43/34.40  | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6)
% 197.43/34.40  | | | | | | |            & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 197.43/34.40  | | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 197.43/34.40  | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 197.43/34.40  | | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.43/34.40  | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) & 
% 197.43/34.40  | | | | | | |            ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.43/34.40  | | | | | | |              e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.43/34.40  | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.43/34.40  | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 197.43/34.40  | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.43/34.40  | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.43/34.40  | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 197.43/34.40  | | | | | | | 
% 197.43/34.40  | | | | | | | REF_CLOSE: (19), (36), (37), (49), (53), (57), (58), (233) are
% 197.43/34.40  | | | | | | |            inconsistent by sub-proof #1585.
% 197.43/34.40  | | | | | | | 
% 197.43/34.40  | | | | | | Case 2:
% 197.43/34.40  | | | | | | | 
% 197.43/34.40  | | | | | | |   (234)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) & 
% 197.43/34.40  | | | | | | |            ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.43/34.40  | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.43/34.40  | | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 197.43/34.40  | | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 197.43/34.40  | | | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.43/34.40  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 197.43/34.40  | | | | | | |            & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 & 
% 197.43/34.40  | | | | | | |            ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.43/34.40  | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 197.43/34.40  | | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.43/34.40  | | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 197.43/34.40  | | | | | | |            ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.43/34.40  | | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.43/34.40  | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.43/34.41  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 197.43/34.41  | | | | | | |                = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.43/34.41  | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 197.43/34.41  | | | | | | |                  e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.43/34.41  | | | | | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 197.43/34.41  | | | | | | |                  = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.43/34.41  | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.43/34.41  | | | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 197.43/34.41  | | | | | | |                  = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.43/34.41  | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.43/34.41  | | | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.43/34.41  | | | | | | |                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.43/34.41  | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.43/34.41  | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 197.43/34.41  | | | | | | |                  = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.43/34.41  | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.43/34.41  | | | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 197.43/34.41  | | | | | | |                  = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.43/34.41  | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 197.43/34.41  | | | | | | | 
% 197.43/34.41  | | | | | | | REF_CLOSE: (17), (18), (19), (21), (29), (35), (36), (40), (42),
% 197.43/34.41  | | | | | | |            (51), (58), (62), (63), (234) are inconsistent by
% 197.43/34.41  | | | | | | |            sub-proof #1584.
% 197.43/34.41  | | | | | | | 
% 197.43/34.41  | | | | | | End of split
% 197.43/34.41  | | | | | | 
% 197.43/34.41  | | | | | End of split
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | End of split
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | Case 2:
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | |   (235)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 197.43/34.41  | | | |              e0) = e3)
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | | BETA: splitting (235) gives:
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | | Case 1:
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | |   (236)  all_56_14 = e3 & op(e0, e1) = e3
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | | ALPHA: (236) implies:
% 197.43/34.41  | | | | |   (237)  all_56_14 = e3
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | | REF_CLOSE: (18), (19), (23), (24), (40), (45), (49), (58), (62), (68),
% 197.43/34.41  | | | | |            (237) are inconsistent by sub-proof #1746.
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | Case 2:
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | |   (238)  all_56_15 = e3 & op(e0, e0) = e3
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | | ALPHA: (238) implies:
% 197.43/34.41  | | | | |   (239)  op(e0, e0) = e3
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | | REF_CLOSE: (18), (19), (57), (239) are inconsistent by sub-proof
% 197.43/34.41  | | | | |            #1692.
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | End of split
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | End of split
% 197.43/34.41  | | | 
% 197.43/34.41  | | End of split
% 197.43/34.41  | | 
% 197.43/34.41  | Case 2:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (240)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 197.43/34.41  | |            e3)
% 197.43/34.41  | | 
% 197.43/34.41  | | REF_CLOSE: (18), (19), (28), (40), (63), (240) are inconsistent by sub-proof
% 197.43/34.41  | |            #1494.
% 197.43/34.41  | | 
% 197.43/34.41  | End of split
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1494 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)   ~ (e3 = e2)
% 197.43/34.41    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.41    (3)  all_56_14 = e2
% 197.43/34.41    (4)  op(e1, e1) = e0
% 197.43/34.41    (5)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.43/34.41    (6)   ~ (e3 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | BETA: splitting (5) gives:
% 197.43/34.41  | 
% 197.43/34.41  | Case 1:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 197.43/34.41  | | 
% 197.43/34.41  | | ALPHA: (7) implies:
% 197.43/34.41  | |   (8)  op(e1, e1) = e3
% 197.43/34.41  | | 
% 197.43/34.41  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1824.
% 197.43/34.41  | | 
% 197.43/34.41  | Case 2:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 197.43/34.41  | | 
% 197.43/34.41  | | ALPHA: (9) implies:
% 197.43/34.41  | |   (10)  all_56_14 = e3
% 197.43/34.41  | | 
% 197.43/34.41  | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #1495.
% 197.43/34.41  | | 
% 197.43/34.41  | End of split
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1495 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_14 = e3
% 197.43/34.41    (2)  all_56_14 = e2
% 197.43/34.41    (3)   ~ (e3 = e2)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (1), (2) imply:
% 197.43/34.41  |   (4)  e3 = e2
% 197.43/34.41  | 
% 197.43/34.41  | SIMP: (4) implies:
% 197.43/34.41  |   (5)  e3 = e2
% 197.43/34.41  | 
% 197.43/34.41  | REDUCE: (3), (5) imply:
% 197.43/34.41  |   (6)  $false
% 197.43/34.41  | 
% 197.43/34.41  | CLOSE: (6) is inconsistent.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1496 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.43/34.41         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.43/34.41    (2)   ~ (e3 = e2)
% 197.43/34.41    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.41    (4)  all_56_5 = e3
% 197.43/34.41    (5)  all_56_11 = e2
% 197.43/34.41    (6)  all_56_14 = e2
% 197.43/34.41    (7)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.41    (8)  all_56_4 = e1
% 197.43/34.41    (9)   ~ (e1 = e0)
% 197.43/34.41    (10)   ~ (e2 = e0)
% 197.43/34.41    (11)   ~ (e3 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | BETA: splitting (7) gives:
% 197.43/34.41  | 
% 197.43/34.41  | Case 1:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (12)  all_56_8 = e3 & op(e1, e1) = e3
% 197.43/34.41  | | 
% 197.43/34.41  | | ALPHA: (12) implies:
% 197.43/34.41  | |   (13)  op(e1, e1) = e3
% 197.43/34.41  | | 
% 197.43/34.41  | | REF_CLOSE: (1), (3), (4), (6), (8), (9), (10), (11), (13) are inconsistent
% 197.43/34.41  | |            by sub-proof #1497.
% 197.43/34.41  | | 
% 197.43/34.41  | Case 2:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (14)  all_56_11 = e3 & op(e1, e0) = e3
% 197.43/34.41  | | 
% 197.43/34.41  | | ALPHA: (14) implies:
% 197.43/34.41  | |   (15)  all_56_11 = e3
% 197.43/34.41  | | 
% 197.43/34.41  | | REF_CLOSE: (2), (5), (15) are inconsistent by sub-proof #1619.
% 197.43/34.41  | | 
% 197.43/34.41  | End of split
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1497 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.43/34.41         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.43/34.41    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.41    (3)  all_56_5 = e3
% 197.43/34.41    (4)  all_56_14 = e2
% 197.43/34.41    (5)  all_56_4 = e1
% 197.43/34.41    (6)   ~ (e1 = e0)
% 197.43/34.41    (7)  op(e1, e1) = e3
% 197.43/34.41    (8)   ~ (e2 = e0)
% 197.43/34.41    (9)   ~ (e3 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | BETA: splitting (1) gives:
% 197.43/34.41  | 
% 197.43/34.41  | Case 1:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 197.43/34.41  | |           e0)
% 197.43/34.41  | | 
% 197.43/34.41  | | BETA: splitting (10) gives:
% 197.43/34.41  | | 
% 197.43/34.41  | | Case 1:
% 197.43/34.41  | | | 
% 197.43/34.41  | | |   (11)  all_56_4 = e0 & op(e3, e1) = e0
% 197.43/34.41  | | | 
% 197.43/34.41  | | | REF_CLOSE: (5), (6), (11) are inconsistent by sub-proof #1500.
% 197.43/34.41  | | | 
% 197.43/34.41  | | Case 2:
% 197.43/34.41  | | | 
% 197.43/34.41  | | |   (12)  all_56_5 = e0 & op(e2, e1) = e0
% 197.43/34.41  | | | 
% 197.43/34.41  | | | REF_CLOSE: (3), (9), (12) are inconsistent by sub-proof #1499.
% 197.43/34.41  | | | 
% 197.43/34.41  | | End of split
% 197.43/34.41  | | 
% 197.43/34.41  | Case 2:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (13)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.43/34.41  | |           e0)
% 197.43/34.41  | | 
% 197.43/34.41  | | BETA: splitting (13) gives:
% 197.43/34.41  | | 
% 197.43/34.41  | | Case 1:
% 197.43/34.41  | | | 
% 197.43/34.41  | | |   (14)  all_56_8 = e0 & op(e1, e1) = e0
% 197.43/34.41  | | | 
% 197.43/34.41  | | | ALPHA: (14) implies:
% 197.43/34.41  | | |   (15)  op(e1, e1) = e0
% 197.43/34.41  | | | 
% 197.43/34.41  | | | REF_CLOSE: (2), (7), (9), (15) are inconsistent by sub-proof #1824.
% 197.43/34.41  | | | 
% 197.43/34.41  | | Case 2:
% 197.43/34.41  | | | 
% 197.43/34.41  | | |   (16)  all_56_14 = e0 & op(e0, e1) = e0
% 197.43/34.41  | | | 
% 197.43/34.41  | | | REF_CLOSE: (4), (8), (16) are inconsistent by sub-proof #1498.
% 197.43/34.41  | | | 
% 197.43/34.41  | | End of split
% 197.43/34.41  | | 
% 197.43/34.41  | End of split
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1498 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_14 = e0 & op(e0, e1) = e0
% 197.43/34.41    (2)  all_56_14 = e2
% 197.43/34.41    (3)   ~ (e2 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | ALPHA: (1) implies:
% 197.43/34.41  |   (4)  all_56_14 = e0
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.41  |   (5)  e2 = e0
% 197.43/34.41  | 
% 197.43/34.41  | REDUCE: (3), (5) imply:
% 197.43/34.41  |   (6)  $false
% 197.43/34.41  | 
% 197.43/34.41  | CLOSE: (6) is inconsistent.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1499 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_5 = e0 & op(e2, e1) = e0
% 197.43/34.41    (2)  all_56_5 = e3
% 197.43/34.41    (3)   ~ (e3 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | ALPHA: (1) implies:
% 197.43/34.41  |   (4)  all_56_5 = e0
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.41  |   (5)  e3 = e0
% 197.43/34.41  | 
% 197.43/34.41  | REDUCE: (3), (5) imply:
% 197.43/34.41  |   (6)  $false
% 197.43/34.41  | 
% 197.43/34.41  | CLOSE: (6) is inconsistent.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1500 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_4 = e0 & op(e3, e1) = e0
% 197.43/34.41    (2)  all_56_4 = e1
% 197.43/34.41    (3)   ~ (e1 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | ALPHA: (1) implies:
% 197.43/34.41  |   (4)  all_56_4 = e0
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.41  |   (5)  e1 = e0
% 197.43/34.41  | 
% 197.43/34.41  | REDUCE: (3), (5) imply:
% 197.43/34.41  |   (6)  $false
% 197.43/34.41  | 
% 197.43/34.41  | CLOSE: (6) is inconsistent.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1501 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)   ~ (e3 = e2)
% 197.43/34.41    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.41    (3)  all_56_5 = e3
% 197.43/34.41    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.43/34.41         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.43/34.41    (5)  op(e1, e1) = e0
% 197.43/34.41    (6)  all_56_14 = e1
% 197.43/34.41    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.43/34.41         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.43/34.41    (8)   ~ (e2 = e1)
% 197.43/34.41    (9)  e3 = e0
% 197.43/34.41    (10)   ~ (e3 = e1)
% 197.43/34.41    (11)   ~ (e2 = e0)
% 197.43/34.41    (12)   ~ (e3 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | SIMP: (9) implies:
% 197.43/34.41  |   (13)  e3 = e0
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (3), (13) imply:
% 197.43/34.41  |   (14)  all_56_5 = e0
% 197.43/34.41  | 
% 197.43/34.41  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (10), (11), (12), (14) are
% 197.43/34.41  |            inconsistent by sub-proof #1552.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1502 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_1 = e1
% 197.43/34.41    (2)   ~ (e3 = e2)
% 197.43/34.41    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.41    (4)  op(e3, e3) = e3
% 197.43/34.41    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 197.43/34.41    (6)   ~ (e2 = e1)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | BETA: splitting (5) gives:
% 197.43/34.41  | 
% 197.43/34.41  | Case 1:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 197.43/34.41  | | 
% 197.43/34.41  | | ALPHA: (7) implies:
% 197.43/34.41  | |   (8)  op(e3, e3) = e2
% 197.43/34.41  | | 
% 197.43/34.41  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1957.
% 197.43/34.41  | | 
% 197.43/34.41  | Case 2:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 197.43/34.41  | | 
% 197.43/34.41  | | REF_CLOSE: (1), (6), (9) are inconsistent by sub-proof #1503.
% 197.43/34.41  | | 
% 197.43/34.41  | End of split
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1503 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_1 = e2 & op(e3, e2) = e2
% 197.43/34.41    (2)  all_56_1 = e1
% 197.43/34.41    (3)   ~ (e2 = e1)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | ALPHA: (1) implies:
% 197.43/34.41  |   (4)  all_56_1 = e2
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.41  |   (5)  e2 = e1
% 197.43/34.41  | 
% 197.43/34.41  | SIMP: (5) implies:
% 197.43/34.41  |   (6)  e2 = e1
% 197.43/34.41  | 
% 197.43/34.41  | REDUCE: (3), (6) imply:
% 197.43/34.41  |   (7)  $false
% 197.43/34.41  | 
% 197.43/34.41  | CLOSE: (7) is inconsistent.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1504 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_6 = e3
% 197.43/34.41    (2)  all_56_6 = e2
% 197.43/34.41    (3)   ~ (e3 = e2)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (1), (2) imply:
% 197.43/34.41  |   (4)  e3 = e2
% 197.43/34.41  | 
% 197.43/34.41  | SIMP: (4) implies:
% 197.43/34.41  |   (5)  e3 = e2
% 197.43/34.41  | 
% 197.43/34.41  | REDUCE: (3), (5) imply:
% 197.43/34.41  |   (6)  $false
% 197.43/34.41  | 
% 197.43/34.41  | CLOSE: (6) is inconsistent.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1505 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_12 = e0 & op(e0, e3) = e0
% 197.43/34.41    (2)   ~ (e3 = e2)
% 197.43/34.41    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.41    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.43/34.41         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.43/34.41    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.43/34.41         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.43/34.41    (6)  all_56_4 = e1
% 197.43/34.41    (7)  all_56_12 = e1
% 197.43/34.41    (8)  op(e1, e1) = e0
% 197.43/34.41    (9)   ~ (e1 = e0)
% 197.43/34.41    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.43/34.41          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.43/34.41    (11)   ~ (e2 = e1)
% 197.43/34.41    (12)   ~ (e3 = e1)
% 197.43/34.41    (13)   ~ (e2 = e0)
% 197.43/34.41    (14)   ~ (e3 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | ALPHA: (1) implies:
% 197.43/34.41  |   (15)  all_56_12 = e0
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (7), (15) imply:
% 197.43/34.41  |   (16)  e1 = e0
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (6), (16) imply:
% 197.43/34.41  |   (17)  all_56_4 = e0
% 197.43/34.41  | 
% 197.43/34.41  | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (11), (12), (13), (14), (17)
% 197.43/34.41  |            are inconsistent by sub-proof #1809.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1506 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)   ~ (e3 = e2)
% 197.43/34.41    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.41    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.43/34.41         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.43/34.41    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.43/34.41         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.43/34.41    (5)  all_56_1 = e1 & op(e3, e2) = e1
% 197.43/34.41    (6)  all_56_4 = e1
% 197.43/34.41    (7)  all_56_1 = e0
% 197.43/34.41    (8)  op(e1, e1) = e0
% 197.43/34.41    (9)   ~ (e1 = e0)
% 197.43/34.41    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.43/34.41          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.43/34.41    (11)   ~ (e2 = e1)
% 197.43/34.41    (12)   ~ (e3 = e1)
% 197.43/34.41    (13)   ~ (e2 = e0)
% 197.43/34.41    (14)   ~ (e3 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | ALPHA: (5) implies:
% 197.43/34.41  |   (15)  all_56_1 = e1
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (7), (15) imply:
% 197.43/34.41  |   (16)  e1 = e0
% 197.43/34.41  | 
% 197.43/34.41  | SIMP: (16) implies:
% 197.43/34.41  |   (17)  e1 = e0
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (6), (17) imply:
% 197.43/34.41  |   (18)  all_56_4 = e0
% 197.43/34.41  | 
% 197.43/34.41  | REF_CLOSE: (1), (2), (3), (4), (8), (9), (10), (11), (12), (13), (14), (18)
% 197.43/34.41  |            are inconsistent by sub-proof #1809.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1507 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_2 = e2 & op(e2, e3) = e2
% 197.43/34.41    (2)  all_56_2 = e0
% 197.43/34.41    (3)   ~ (e2 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | ALPHA: (1) implies:
% 197.43/34.41  |   (4)  all_56_2 = e2
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.41  |   (5)  e2 = e0
% 197.43/34.41  | 
% 197.43/34.41  | REDUCE: (3), (5) imply:
% 197.43/34.41  |   (6)  $false
% 197.43/34.41  | 
% 197.43/34.41  | CLOSE: (6) is inconsistent.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1508 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.43/34.41         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.43/34.41    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.43/34.41         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.43/34.41    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.43/34.41         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.43/34.41    (4)   ~ (e3 = e2)
% 197.43/34.41    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.41    (6)  all_56_5 = e3
% 197.43/34.41    (7)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.43/34.41         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.43/34.41    (8)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.43/34.41         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.43/34.41    (9)  all_56_12 = e3
% 197.43/34.41    (10)  all_56_14 = e2
% 197.43/34.41    (11)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.43/34.41          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.43/34.41    (12)  op(e3, e3) = e3
% 197.43/34.41    (13)  op(e1, e1) = e0
% 197.43/34.41    (14)   ~ (e1 = e0)
% 197.43/34.41    (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.43/34.41          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.43/34.41    (16)   ~ (e2 = e1)
% 197.43/34.41    (17)   ~ (e3 = e1)
% 197.43/34.41    (18)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.43/34.41          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.43/34.41    (19)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.43/34.41          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.41    (20)   ~ (e2 = e0)
% 197.43/34.41    (21)   ~ (e3 = e0)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | BETA: splitting (8) gives:
% 197.43/34.41  | 
% 197.43/34.41  | Case 1:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (22)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 197.43/34.41  | |           e1)
% 197.43/34.41  | | 
% 197.43/34.41  | | BETA: splitting (22) gives:
% 197.43/34.41  | | 
% 197.43/34.41  | | Case 1:
% 197.43/34.41  | | | 
% 197.43/34.41  | | |   (23)  all_56_4 = e1 & op(e3, e1) = e1
% 197.43/34.41  | | | 
% 197.43/34.41  | | | ALPHA: (23) implies:
% 197.43/34.41  | | |   (24)  all_56_4 = e1
% 197.43/34.41  | | | 
% 197.43/34.41  | | | BETA: splitting (2) gives:
% 197.43/34.41  | | | 
% 197.43/34.41  | | | Case 1:
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | |   (25)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 197.43/34.41  | | | |           = e0)
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (9), (12), (14), (16), (17), (20),
% 197.43/34.41  | | | |            (21), (25) are inconsistent by sub-proof #1535.
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | Case 2:
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | |   (26)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 197.43/34.41  | | | |           = e0)
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | | BETA: splitting (26) gives:
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | | Case 1:
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | |   (27)  all_56_6 = e0 & op(e1, e3) = e0
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | | ALPHA: (27) implies:
% 197.43/34.41  | | | | |   (28)  all_56_6 = e0
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | | REF_CLOSE: (4), (5), (7), (8), (11), (13), (14), (15), (16), (17),
% 197.43/34.41  | | | | |            (18), (19), (20), (21), (24), (28) are inconsistent by
% 197.43/34.41  | | | | |            sub-proof #1574.
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | Case 2:
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | |   (29)  all_56_12 = e0 & op(e0, e3) = e0
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | | ALPHA: (29) implies:
% 197.43/34.41  | | | | |   (30)  all_56_12 = e0
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | | COMBINE_EQS: (9), (30) imply:
% 197.43/34.41  | | | | |   (31)  e3 = e0
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | | COMBINE_EQS: (6), (31) imply:
% 197.43/34.41  | | | | |   (32)  all_56_5 = e0
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | | REF_CLOSE: (4), (5), (7), (13), (15), (16), (17), (20), (21), (24),
% 197.43/34.41  | | | | |            (32) are inconsistent by sub-proof #1554.
% 197.43/34.41  | | | | | 
% 197.43/34.41  | | | | End of split
% 197.43/34.41  | | | | 
% 197.43/34.41  | | | End of split
% 197.43/34.41  | | | 
% 197.43/34.41  | | Case 2:
% 197.43/34.41  | | | 
% 197.43/34.41  | | |   (33)  all_56_5 = e1 & op(e2, e1) = e1
% 197.43/34.41  | | | 
% 197.43/34.41  | | | REF_CLOSE: (6), (17), (33) are inconsistent by sub-proof #1749.
% 197.43/34.41  | | | 
% 197.43/34.41  | | End of split
% 197.43/34.41  | | 
% 197.43/34.41  | Case 2:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (34)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 197.43/34.41  | |           e1)
% 197.43/34.41  | | 
% 197.43/34.41  | | REF_CLOSE: (5), (10), (13), (14), (16), (34) are inconsistent by sub-proof
% 197.43/34.41  | |            #1509.
% 197.43/34.41  | | 
% 197.43/34.41  | End of split
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1509 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.41    (2)  all_56_14 = e2
% 197.43/34.41    (3)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.43/34.41    (4)  op(e1, e1) = e0
% 197.43/34.41    (5)   ~ (e1 = e0)
% 197.43/34.41    (6)   ~ (e2 = e1)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | BETA: splitting (3) gives:
% 197.43/34.41  | 
% 197.43/34.41  | Case 1:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 197.43/34.41  | | 
% 197.43/34.41  | | ALPHA: (7) implies:
% 197.43/34.41  | |   (8)  op(e1, e1) = e1
% 197.43/34.41  | | 
% 197.43/34.41  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1959.
% 197.43/34.41  | | 
% 197.43/34.41  | Case 2:
% 197.43/34.41  | | 
% 197.43/34.41  | |   (9)  all_56_14 = e1 & op(e0, e1) = e1
% 197.43/34.41  | | 
% 197.43/34.41  | | REF_CLOSE: (2), (6), (9) are inconsistent by sub-proof #1510.
% 197.43/34.41  | | 
% 197.43/34.41  | End of split
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1510 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_14 = e1 & op(e0, e1) = e1
% 197.43/34.41    (2)  all_56_14 = e2
% 197.43/34.41    (3)   ~ (e2 = e1)
% 197.43/34.41  
% 197.43/34.41  Begin of proof
% 197.43/34.41  | 
% 197.43/34.41  | ALPHA: (1) implies:
% 197.43/34.41  |   (4)  all_56_14 = e1
% 197.43/34.41  | 
% 197.43/34.41  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.41  |   (5)  e2 = e1
% 197.43/34.41  | 
% 197.43/34.41  | REDUCE: (3), (5) imply:
% 197.43/34.41  |   (6)  $false
% 197.43/34.41  | 
% 197.43/34.41  | CLOSE: (6) is inconsistent.
% 197.43/34.41  | 
% 197.43/34.41  End of proof
% 197.43/34.41  
% 197.43/34.41  Sub-proof #1511 shows that the following formulas are inconsistent:
% 197.43/34.41  ----------------------------------------------------------------
% 197.43/34.41    (1)  all_56_11 = e1
% 197.43/34.41    (2)   ~ (e3 = e2)
% 197.43/34.42    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.42    (4)  all_56_13 = e2
% 197.43/34.42    (5)  all_56_6 = e2
% 197.43/34.42    (6)  all_56_7 = e3
% 197.43/34.42    (7)  op(e1, e1) = e0
% 197.43/34.42    (8)   ~ (e2 = e1)
% 197.43/34.42    (9)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.43/34.42         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.43/34.42    (10)   ~ (e2 = e0)
% 197.43/34.42    (11)  all_56_13 = e1
% 197.43/34.42  
% 197.43/34.42  Begin of proof
% 197.43/34.42  | 
% 197.43/34.42  | COMBINE_EQS: (4), (11) imply:
% 197.43/34.42  |   (12)  e2 = e1
% 197.43/34.42  | 
% 197.43/34.42  | SIMP: (12) implies:
% 197.43/34.42  |   (13)  e2 = e1
% 197.43/34.42  | 
% 197.43/34.42  | COMBINE_EQS: (5), (13) imply:
% 197.43/34.42  |   (14)  all_56_6 = e1
% 197.43/34.42  | 
% 197.43/34.42  | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (14) are inconsistent by
% 197.43/34.42  |            sub-proof #1613.
% 197.43/34.42  | 
% 197.43/34.42  End of proof
% 197.43/34.42  
% 197.43/34.42  Sub-proof #1512 shows that the following formulas are inconsistent:
% 197.43/34.42  ----------------------------------------------------------------
% 197.43/34.42    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.43/34.42         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.43/34.42    (2)   ~ (all_52_4 = e3)
% 197.43/34.42    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.43/34.42           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.43/34.42           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.43/34.42                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.43/34.42               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.43/34.42               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.43/34.42           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.43/34.42           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.43/34.42               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.43/34.42           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.43/34.42               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.43/34.42           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.43/34.42           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.43/34.42               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.43/34.42               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.43/34.42               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.43/34.42         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.43/34.42           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.43/34.42           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.43/34.42               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.43/34.42             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.43/34.42         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.43/34.42           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.43/34.42           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.43/34.42                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.43/34.42               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.43/34.42               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.43/34.42           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.43/34.42           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.43/34.42             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.43/34.42           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.43/34.42               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.43/34.42           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.43/34.42           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.43/34.42               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.43/34.42               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.43/34.42               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.43/34.42         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.43/34.42           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.43/34.42           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.43/34.42               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.43/34.42             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.43/34.42         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.43/34.42           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.43/34.42           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.43/34.42                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.43/34.42               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.43/34.42               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.43/34.42           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.43/34.42             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.43/34.42               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.43/34.42           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.43/34.42               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.43/34.42           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.43/34.42           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.43/34.42               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.43/34.42               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.43/34.42               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.43/34.42         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.43/34.42           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.43/34.42           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.43/34.42               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.43/34.42             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.43/34.42         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.43/34.42             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.43/34.42           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.43/34.42               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.43/34.42             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.43/34.42         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.43/34.42             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.43/34.42           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.43/34.42               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.43/34.42             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.43/34.42         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.43/34.42             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.43/34.42           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.43/34.42               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.43/34.42             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.43/34.42         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.43/34.42             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.43/34.42           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.43/34.42               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.43/34.42             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.43/34.42    (4)  op(e1, e2) = all_52_6
% 197.43/34.42    (5)   ~ (all_52_14 = e0)
% 197.43/34.42    (6)   ~ (all_52_6 = e0)
% 197.43/34.42    (7)   ~ (all_52_6 = all_52_7)
% 197.43/34.42    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.43/34.42         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.43/34.42    (9)  op(e1, e2) = e1
% 197.43/34.42    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.43/34.42          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.43/34.42    (11)   ~ (all_52_13 = e2)
% 197.43/34.42    (12)   ~ (e3 = e2)
% 197.43/34.42    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.42            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.42    (14)  op(e3, e2) = all_52_4
% 197.43/34.42    (15)  op(e2, e2) = all_4_2
% 197.43/34.42    (16)  all_57_15 = e2
% 197.43/34.42    (17)   ~ (all_57_5 = e0)
% 197.43/34.42    (18)  op(e1, e1) = all_57_14
% 197.43/34.42    (19)  op(e2, e0) = all_52_13
% 197.43/34.42    (20)  op(e1, e0) = all_52_14
% 197.43/34.42    (21)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.43/34.42          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.43/34.42    (22)  op(e0, e1) = all_52_11
% 197.43/34.42    (23)  op(e3, e3) = e3
% 197.43/34.42    (24)   ~ (all_52_6 = all_52_14)
% 197.43/34.42    (25)  op(e0, e2) = all_57_5
% 197.43/34.42    (26)  op(e1, e1) = e0
% 197.43/34.42    (27)   ~ (all_4_2 = e3)
% 197.43/34.42    (28)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.43/34.42              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.43/34.42                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.43/34.42                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.43/34.42    (29)   ~ (e2 = e1)
% 197.43/34.42    (30)   ~ (all_57_14 = e2)
% 197.43/34.42    (31)   ~ (all_52_11 = e0)
% 197.43/34.42    (32)   ~ (all_52_6 = all_4_2)
% 197.43/34.42    (33)   ~ (all_52_4 = all_52_6)
% 197.43/34.42    (34)  op(e0, e0) = e2
% 197.43/34.42    (35)   ~ (e3 = e1)
% 197.43/34.42    (36)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.43/34.42          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.43/34.42    (37)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.43/34.42          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.42    (38)  op(e0, e2) = all_52_7
% 197.43/34.42    (39)   ~ (e3 = e0)
% 197.43/34.42    (40)  all_56_15 = e2
% 197.43/34.42  
% 197.43/34.42  Begin of proof
% 197.43/34.42  | 
% 197.43/34.42  | GROUND_INST: instantiating (13) with all_52_7, all_57_5, e2, e0, simplifying
% 197.43/34.42  |              with (25), (38) gives:
% 197.43/34.42  |   (41)  all_57_5 = all_52_7
% 197.43/34.42  | 
% 197.43/34.42  | GROUND_INST: instantiating (13) with e0, all_57_14, e1, e1, simplifying with
% 197.43/34.42  |              (18), (26) gives:
% 197.43/34.42  |   (42)  all_57_14 = e0
% 197.43/34.42  | 
% 197.43/34.42  | GROUND_INST: instantiating (13) with all_52_6, e1, e2, e1, simplifying with
% 197.43/34.42  |              (4), (9) gives:
% 197.43/34.42  |   (43)  all_52_6 = e1
% 197.43/34.42  | 
% 197.43/34.42  | REDUCE: (30), (42) imply:
% 197.43/34.42  |   (44)   ~ (e2 = e0)
% 197.43/34.42  | 
% 197.43/34.42  | SIMP: (44) implies:
% 197.43/34.42  |   (45)   ~ (e2 = e0)
% 197.43/34.42  | 
% 197.43/34.42  | REDUCE: (33), (43) imply:
% 197.43/34.42  |   (46)   ~ (all_52_4 = e1)
% 197.43/34.42  | 
% 197.43/34.42  | REDUCE: (7), (43) imply:
% 197.43/34.42  |   (47)   ~ (all_52_7 = e1)
% 197.43/34.42  | 
% 197.43/34.42  | SIMP: (47) implies:
% 197.43/34.42  |   (48)   ~ (all_52_7 = e1)
% 197.43/34.42  | 
% 197.43/34.42  | REDUCE: (24), (43) imply:
% 197.43/34.42  |   (49)   ~ (all_52_14 = e1)
% 197.43/34.42  | 
% 197.43/34.42  | SIMP: (49) implies:
% 197.43/34.42  |   (50)   ~ (all_52_14 = e1)
% 197.43/34.42  | 
% 197.43/34.42  | REDUCE: (32), (43) imply:
% 197.43/34.42  |   (51)   ~ (all_4_2 = e1)
% 197.43/34.42  | 
% 197.43/34.42  | SIMP: (51) implies:
% 197.43/34.42  |   (52)   ~ (all_4_2 = e1)
% 197.43/34.42  | 
% 197.43/34.42  | REDUCE: (6), (43) imply:
% 197.43/34.42  |   (53)   ~ (e1 = e0)
% 197.43/34.42  | 
% 197.43/34.42  | BETA: splitting (28) gives:
% 197.43/34.42  | 
% 197.43/34.42  | Case 1:
% 197.43/34.42  | | 
% 197.43/34.42  | |   (54)  all_56_15 = e0 & op(e0, e0) = e0
% 197.43/34.42  | | 
% 197.43/34.42  | | REF_CLOSE: (40), (45), (54) are inconsistent by sub-proof #1536.
% 197.43/34.42  | | 
% 197.43/34.42  | Case 2:
% 197.43/34.42  | | 
% 197.43/34.42  | |   (55)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 197.43/34.42  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 197.43/34.42  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.43/34.42  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 197.43/34.42  | | 
% 197.43/34.42  | | ALPHA: (55) implies:
% 197.43/34.42  | |   (56)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.43/34.42  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.43/34.42  | | 
% 197.43/34.42  | | BETA: splitting (1) gives:
% 197.43/34.42  | | 
% 197.43/34.42  | | Case 1:
% 197.43/34.42  | | | 
% 197.43/34.42  | | |   (57)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.43/34.42  | | |           e1)
% 197.43/34.42  | | | 
% 197.43/34.42  | | | REF_CLOSE: (13), (14), (15), (46), (52), (57) are inconsistent by
% 197.43/34.42  | | |            sub-proof #1531.
% 197.43/34.42  | | | 
% 197.43/34.42  | | Case 2:
% 197.43/34.42  | | | 
% 197.43/34.42  | | |   (58)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.43/34.42  | | |           e1)
% 197.43/34.42  | | | 
% 197.43/34.42  | | | BETA: splitting (58) gives:
% 197.43/34.42  | | | 
% 197.43/34.42  | | | Case 1:
% 197.43/34.42  | | | | 
% 197.43/34.42  | | | |   (59)  all_56_7 = e1 & op(e1, e2) = e1
% 197.43/34.42  | | | | 
% 197.43/34.42  | | | | ALPHA: (59) implies:
% 197.43/34.42  | | | |   (60)  all_56_7 = e1
% 197.43/34.42  | | | | 
% 197.43/34.42  | | | | BETA: splitting (3) gives:
% 197.43/34.42  | | | | 
% 197.43/34.42  | | | | Case 1:
% 197.43/34.42  | | | | | 
% 197.43/34.42  | | | | |   (61)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 197.43/34.42  | | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 197.43/34.42  | | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 197.43/34.42  | | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.43/34.42  | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | (
% 197.43/34.42  | | | | |               ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.43/34.42  | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 &
% 197.43/34.42  | | | | |           all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.43/34.42  | | | | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 197.43/34.42  | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.43/34.42  | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 197.43/34.42  | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.43/34.42  | | | | |               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6
% 197.43/34.42  | | | | |           = e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 197.43/34.42  | | | | |           op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.43/34.42  | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.43/34.42  | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 =
% 197.43/34.42  | | | | |               e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 197.43/34.42  | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6
% 197.43/34.42  | | | | |           = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1)
% 197.43/34.42  | | | | |           = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.43/34.42  | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.43/34.42  | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 197.43/34.42  | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.43/34.42  | | | | |               = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 & all_57_9
% 197.43/34.42  | | | | |           = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 &
% 197.43/34.42  | | | | |           op(e0, e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.43/34.42  | | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 197.43/34.42  | | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 197.43/34.42  | | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.43/34.42  | | | | |                 e0) = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 197.43/34.42  | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 &
% 197.43/34.42  | | | | |           op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.43/34.42  | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.43/34.42  | | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0)))
% 197.43/34.42  | | | | |           & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1)
% 197.43/34.42  | | | | |               & op(e1, e3) = all_57_1 & $i(all_57_1)))) | (all_57_4 =
% 197.43/34.42  | | | | |           e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.43/34.42  | | | | |           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.43/34.42  | | | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.43/34.42  | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)))
% 197.43/34.42  | | | | |           & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0)
% 197.43/34.42  | | | | |               & op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_4 =
% 197.43/34.42  | | | | |           e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.43/34.42  | | | | |           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.43/34.42  | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.43/34.42  | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3)))
% 197.43/34.42  | | | | |           & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0)
% 197.43/34.42  | | | | |               & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.43/34.42  | | | | | 
% 197.43/34.42  | | | | | BETA: splitting (61) gives:
% 197.43/34.42  | | | | | 
% 197.43/34.42  | | | | | Case 1:
% 197.43/34.42  | | | | | | 
% 197.43/34.42  | | | | | |   (62)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3)
% 197.43/34.42  | | | | | |           = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 197.43/34.42  | | | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1)
% 197.43/34.42  | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.43/34.42  | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.43/34.42  | | | | | |             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.43/34.42  | | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 &
% 197.43/34.42  | | | | | |           all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 197.43/34.42  | | | | | |           & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 197.43/34.42  | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1)
% 197.43/34.42  | | | | | |               & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15
% 197.43/34.42  | | | | | |               = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.43/34.42  | | | | | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 &
% 197.43/34.42  | | | | | |           all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3,
% 197.43/34.42  | | | | | |             e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.43/34.42  | | | | | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.43/34.42  | | | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.43/34.42  | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.43/34.42  | | | | | |             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.43/34.42  | | | | | |               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 &
% 197.43/34.42  | | | | | |           all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 197.43/34.42  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.43/34.42  | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.43/34.42  | | | | | |               & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15
% 197.43/34.42  | | | | | |               = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.43/34.42  | | | | | |                 e3) = all_57_2 & $i(all_57_2))))
% 197.43/34.42  | | | | | | 
% 197.43/34.42  | | | | | | BETA: splitting (62) gives:
% 197.43/34.42  | | | | | | 
% 197.43/34.42  | | | | | | Case 1:
% 197.43/34.42  | | | | | | | 
% 197.43/34.42  | | | | | | |   (63)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 197.43/34.42  | | | | | | |             e3) = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 197.43/34.42  | | | | | | |             e2) = all_57_12 & $i(all_57_12) & ((all_57_14 = e2 &
% 197.43/34.42  | | | | | | |               op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.43/34.42  | | | | | | |               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.43/34.42  | | | | | | |               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.43/34.42  | | | | | | |               = all_57_5 & $i(all_57_5)))) | (all_57_0 = e2 &
% 197.43/34.42  | | | | | | |           all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10
% 197.43/34.42  | | | | | | |           & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.43/34.42  | | | | | | |           $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | (
% 197.43/34.42  | | | | | | |               ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.43/34.42  | | | | | | |               $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 197.43/34.42  | | | | | | |             | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 197.43/34.42  | | | | | | |               $i(all_57_2))))
% 197.43/34.42  | | | | | | | 
% 197.43/34.42  | | | | | | | REF_CLOSE: (2), (13), (14), (15), (27), (63) are inconsistent by
% 197.43/34.42  | | | | | | |            sub-proof #1530.
% 197.43/34.42  | | | | | | | 
% 197.43/34.42  | | | | | | Case 2:
% 197.43/34.42  | | | | | | | 
% 197.43/34.42  | | | | | | |   (64)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3,
% 197.43/34.42  | | | | | | |             e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 197.43/34.42  | | | | | | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 &
% 197.43/34.42  | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.43/34.42  | | | | | | |               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.43/34.42  | | | | | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 197.43/34.42  | | | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 &
% 197.43/34.42  | | | | | | |           all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.43/34.42  | | | | | | |           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.43/34.42  | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | (
% 197.43/34.42  | | | | | | |               ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.43/34.42  | | | | | | |               $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 197.43/34.42  | | | | | | |             | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 197.43/34.42  | | | | | | |               $i(all_57_2))))
% 197.43/34.42  | | | | | | | 
% 197.43/34.42  | | | | | | | BETA: splitting (64) gives:
% 197.43/34.42  | | | | | | | 
% 197.43/34.42  | | | | | | | Case 1:
% 197.43/34.42  | | | | | | | | 
% 197.43/34.42  | | | | | | | |   (65)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3,
% 197.43/34.42  | | | | | | | |           e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 197.43/34.42  | | | | | | | |           e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 &
% 197.43/34.42  | | | | | | | |             op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.43/34.42  | | | | | | | |             = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.43/34.42  | | | | | | | |             op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 197.43/34.42  | | | | | | | |             = all_57_8 & $i(all_57_8)))
% 197.43/34.42  | | | | | | | | 
% 197.43/34.42  | | | | | | | | ALPHA: (65) implies:
% 197.43/34.42  | | | | | | | |   (66)  op(e3, e3) = e1
% 197.43/34.42  | | | | | | | | 
% 197.43/34.42  | | | | | | | | REF_CLOSE: (13), (23), (35), (66) are inconsistent by sub-proof
% 197.43/34.42  | | | | | | | |            #1966.
% 197.43/34.42  | | | | | | | | 
% 197.43/34.42  | | | | | | | Case 2:
% 197.43/34.42  | | | | | | | | 
% 197.43/34.42  | | | | | | | |   (67)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3,
% 197.43/34.42  | | | | | | | |           e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 197.43/34.42  | | | | | | | |         op(e1, e1) = e3 & $i(all_57_10) & ((all_57_12 = e3 &
% 197.43/34.42  | | | | | | | |             op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.43/34.42  | | | | | | | |             = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 &
% 197.43/34.42  | | | | | | | |             op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.43/34.42  | | | | | | | |             = all_57_2 & $i(all_57_2)))
% 197.43/34.42  | | | | | | | | 
% 197.43/34.42  | | | | | | | | ALPHA: (67) implies:
% 197.43/34.42  | | | | | | | |   (68)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0)
% 197.43/34.42  | | | | | | | |           & op(e0, e3) = all_57_2 & $i(all_57_2))
% 197.43/34.42  | | | | | | | | 
% 197.43/34.42  | | | | | | | | REF_CLOSE: (8), (10), (12), (13), (17), (20), (21), (22), (23),
% 197.43/34.42  | | | | | | | |            (25), (26), (29), (31), (34), (35), (36), (37), (39),
% 197.43/34.42  | | | | | | | |            (45), (50), (53), (56), (60), (68) are inconsistent
% 197.43/34.42  | | | | | | | |            by sub-proof #1518.
% 197.43/34.42  | | | | | | | | 
% 197.43/34.42  | | | | | | | End of split
% 197.43/34.42  | | | | | | | 
% 197.43/34.42  | | | | | | End of split
% 197.43/34.42  | | | | | | 
% 197.43/34.42  | | | | | Case 2:
% 197.43/34.42  | | | | | | 
% 197.43/34.43  | | | | | |   (69)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3)
% 197.43/34.43  | | | | | |           = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 197.43/34.43  | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2)
% 197.43/34.43  | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11
% 197.43/34.43  | | | | | |               & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 197.43/34.43  | | | | | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.43/34.43  | | | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 197.43/34.43  | | | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 197.43/34.43  | | | | | |           & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 197.43/34.43  | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.43/34.43  | | | | | |               & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14
% 197.43/34.43  | | | | | |               = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 197.43/34.43  | | | | | |                 e3) = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 &
% 197.43/34.43  | | | | | |           all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 & op(e2,
% 197.43/34.43  | | | | | |             e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.43/34.43  | | | | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.43/34.43  | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.43/34.43  | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.43/34.43  | | | | | |             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.43/34.43  | | | | | |               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 &
% 197.43/34.43  | | | | | |           all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 197.43/34.43  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.43/34.43  | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.43/34.43  | | | | | |               & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15
% 197.43/34.43  | | | | | |               = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.43/34.43  | | | | | |                 e2) = all_57_5 & $i(all_57_5))))
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | | BETA: splitting (69) gives:
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | | Case 1:
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | |   (70)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3,
% 197.43/34.43  | | | | | | |             e3) = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 197.43/34.43  | | | | | | |             e0) = all_57_15 & $i(all_57_15) & ((all_57_12 = e0 &
% 197.43/34.43  | | | | | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.43/34.43  | | | | | | |               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 &
% 197.43/34.43  | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 197.43/34.43  | | | | | | |               = all_57_13 & $i(all_57_13)))) | (all_57_2 = e0 &
% 197.43/34.43  | | | | | | |           all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10
% 197.43/34.43  | | | | | | |           & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.43/34.43  | | | | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | (
% 197.43/34.43  | | | | | | |               ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.43/34.43  | | | | | | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3)
% 197.43/34.43  | | | | | | |             | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.43/34.43  | | | | | | |               $i(all_57_1))))
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | | REF_CLOSE: (12), (13), (23), (34), (39), (70) are inconsistent by
% 197.43/34.43  | | | | | | |            sub-proof #1517.
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | Case 2:
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | |   (71)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2,
% 197.43/34.43  | | | | | | |             e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 197.43/34.43  | | | | | | |             e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 &
% 197.43/34.43  | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.43/34.43  | | | | | | |               = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 197.43/34.43  | | | | | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 197.43/34.43  | | | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 &
% 197.43/34.43  | | | | | | |           all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.43/34.43  | | | | | | |           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.43/34.43  | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | (
% 197.43/34.43  | | | | | | |               ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.43/34.43  | | | | | | |               $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2)
% 197.43/34.43  | | | | | | |             | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.43/34.43  | | | | | | |               $i(all_57_5))))
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | | REF_CLOSE: (13), (15), (26), (45), (52), (71) are inconsistent by
% 197.43/34.43  | | | | | | |            sub-proof #1516.
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | End of split
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | End of split
% 197.43/34.43  | | | | | 
% 197.43/34.43  | | | | Case 2:
% 197.43/34.43  | | | | | 
% 197.43/34.43  | | | | |   (72)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2)
% 197.43/34.43  | | | | |           = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 197.43/34.43  | | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 197.43/34.43  | | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.43/34.43  | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 197.43/34.43  | | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.43/34.43  | | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 197.43/34.43  | | | | |           all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.43/34.43  | | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 197.43/34.43  | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.43/34.43  | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 197.43/34.43  | | | | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.43/34.43  | | | | |               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 197.43/34.43  | | | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 197.43/34.43  | | | | |             e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.43/34.43  | | | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.43/34.43  | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)))
% 197.43/34.43  | | | | |           & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2)
% 197.43/34.43  | | | | |               & op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_8
% 197.43/34.43  | | | | |           = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 197.43/34.43  | | | | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) =
% 197.43/34.43  | | | | |           e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | (
% 197.43/34.43  | | | | |               ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.43/34.43  | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 197.43/34.43  | | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.43/34.43  | | | | |               $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3) = e3 &
% 197.43/34.43  | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.43/34.43  | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 197.43/34.43  | | | | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.43/34.43  | | | | |               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.43/34.43  | | | | |                 e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.43/34.43  | | | | |               all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 197.43/34.43  | | | | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.43/34.43  | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3)))
% 197.43/34.43  | | | | |           & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1)
% 197.43/34.43  | | | | |               & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 =
% 197.43/34.43  | | | | |               e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.43/34.43  | | | | |               = all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1,
% 197.43/34.43  | | | | |             e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.43/34.43  | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)))
% 197.43/34.43  | | | | |           & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2)
% 197.43/34.43  | | | | |               & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 =
% 197.43/34.43  | | | | |               e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 197.43/34.43  | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 197.43/34.43  | | | | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.43/34.43  | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)))
% 197.43/34.43  | | | | |           & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2)
% 197.43/34.43  | | | | |               & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 197.43/34.43  | | | | |               = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.43/34.43  | | | | |                 e0) = all_57_13 & $i(all_57_13))))
% 197.43/34.43  | | | | | 
% 197.43/34.43  | | | | | BETA: splitting (72) gives:
% 197.43/34.43  | | | | | 
% 197.43/34.43  | | | | | Case 1:
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | |   (73)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 197.43/34.43  | | | | | |             e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 197.43/34.43  | | | | | |             e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 197.43/34.43  | | | | | |               op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 197.43/34.43  | | | | | |               all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.43/34.43  | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.43/34.43  | | | | | |               all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 197.43/34.43  | | | | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 197.43/34.43  | | | | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.43/34.43  | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.43/34.43  | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.43/34.43  | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) |
% 197.43/34.43  | | | | | |             ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.43/34.43  | | | | | |               $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.43/34.43  | | | | | |           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 &
% 197.43/34.43  | | | | | |           op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.43/34.43  | | | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.43/34.43  | | | | | |               & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12
% 197.43/34.43  | | | | | |               = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 197.43/34.43  | | | | | |               op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_8
% 197.43/34.43  | | | | | |           = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 197.43/34.43  | | | | | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0)
% 197.43/34.43  | | | | | |           = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1)
% 197.43/34.43  | | | | | |             | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.43/34.43  | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.43/34.43  | | | | | |             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.43/34.43  | | | | | |               $i(all_57_7))))
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | | BETA: splitting (73) gives:
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | | Case 1:
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | |   (74)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 197.43/34.43  | | | | | | |             e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 197.43/34.43  | | | | | | |             e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 197.43/34.43  | | | | | | |               op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 197.43/34.43  | | | | | | |               = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.43/34.43  | | | | | | |               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 197.43/34.43  | | | | | | |               = all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 197.43/34.43  | | | | | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12
% 197.43/34.43  | | | | | | |           & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.43/34.43  | | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | (
% 197.43/34.43  | | | | | | |               ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.43/34.43  | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2)
% 197.43/34.43  | | | | | | |             | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.43/34.43  | | | | | | |               $i(all_57_4))))
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | | REF_CLOSE: (11), (13), (17), (19), (25), (74) are inconsistent by
% 197.43/34.43  | | | | | | |            sub-proof #1515.
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | Case 2:
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | |   (75)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1,
% 197.43/34.43  | | | | | | |             e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 197.43/34.43  | | | | | | |             e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 197.43/34.43  | | | | | | |               op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 197.43/34.43  | | | | | | |               = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 197.43/34.43  | | | | | | |               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.43/34.43  | | | | | | |               = all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 197.43/34.43  | | | | | | |           all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.43/34.43  | | | | | | |           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.43/34.43  | | | | | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | (
% 197.43/34.43  | | | | | | |               ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.43/34.43  | | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1)
% 197.43/34.43  | | | | | | |             | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.43/34.43  | | | | | | |               $i(all_57_7))))
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | | REF_CLOSE: (5), (13), (20), (50), (75) are inconsistent by
% 197.43/34.43  | | | | | | |            sub-proof #1514.
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | End of split
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | Case 2:
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | |   (76)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 197.43/34.43  | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.43/34.43  | | | | | |               all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 197.43/34.43  | | | | | |                 e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.43/34.43  | | | | | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.43/34.43  | | | | | |                 e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.43/34.43  | | | | | |               all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 197.43/34.43  | | | | | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.43/34.43  | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.43/34.43  | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) |
% 197.43/34.43  | | | | | |             ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.43/34.43  | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.43/34.43  | | | | | |             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.43/34.43  | | | | | |               $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 197.43/34.43  | | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.43/34.43  | | | | | |               & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12
% 197.43/34.43  | | | | | |               = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 197.43/34.43  | | | | | |                 e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.43/34.43  | | | | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.43/34.43  | | | | | |               all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 197.43/34.43  | | | | | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.43/34.43  | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.43/34.43  | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) |
% 197.43/34.43  | | | | | |             ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.43/34.43  | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.43/34.43  | | | | | |             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.43/34.43  | | | | | |               $i(all_57_13))))
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | | BETA: splitting (76) gives:
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | | Case 1:
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | |   (77)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 197.43/34.43  | | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.43/34.43  | | | | | | |               = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 197.43/34.43  | | | | | | |               op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.43/34.43  | | | | | | |               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 197.43/34.43  | | | | | | |               op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.43/34.43  | | | | | | |               = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 &
% 197.43/34.43  | | | | | | |           op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.43/34.43  | | | | | | |             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.43/34.43  | | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2)
% 197.43/34.43  | | | | | | |             | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.43/34.43  | | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2)
% 197.43/34.43  | | | | | | |             | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.43/34.43  | | | | | | |               $i(all_57_5))))
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | | BETA: splitting (77) gives:
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | | Case 1:
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | |   (78)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 197.43/34.43  | | | | | | | |             op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.43/34.43  | | | | | | | |             = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 &
% 197.43/34.43  | | | | | | | |             op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.43/34.43  | | | | | | | |             = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 &
% 197.43/34.43  | | | | | | | |             op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.43/34.43  | | | | | | | |             = all_57_2 & $i(all_57_2)))
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | | ALPHA: (78) implies:
% 197.43/34.43  | | | | | | | |   (79)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0)
% 197.43/34.43  | | | | | | | |           & op(e0, e3) = all_57_2 & $i(all_57_2))
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | | REF_CLOSE: (8), (10), (12), (13), (17), (20), (21), (22), (23),
% 197.43/34.43  | | | | | | | |            (25), (26), (29), (31), (34), (35), (36), (37), (39),
% 197.43/34.43  | | | | | | | |            (45), (50), (53), (56), (60), (79) are inconsistent
% 197.43/34.43  | | | | | | | |            by sub-proof #1518.
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | Case 2:
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | |   (80)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 &
% 197.43/34.43  | | | | | | | |             op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.43/34.43  | | | | | | | |             = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 &
% 197.43/34.43  | | | | | | | |             op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.43/34.43  | | | | | | | |             = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.43/34.43  | | | | | | | |             op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.43/34.43  | | | | | | | |             = all_57_5 & $i(all_57_5)))
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | | ALPHA: (80) implies:
% 197.43/34.43  | | | | | | | |   (81)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1)
% 197.43/34.43  | | | | | | | |           & op(e1, e2) = all_57_4 & $i(all_57_4))
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | | REF_CLOSE: (9), (13), (26), (45), (81) are inconsistent by
% 197.43/34.43  | | | | | | | |            sub-proof #1513.
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | End of split
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | Case 2:
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | |   (82)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 197.43/34.43  | | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.43/34.43  | | | | | | |               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 197.43/34.43  | | | | | | |               op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.43/34.43  | | | | | | |               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.43/34.43  | | | | | | |               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 197.43/34.43  | | | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 &
% 197.43/34.43  | | | | | | |           op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.43/34.43  | | | | | | |             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.43/34.43  | | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0)
% 197.43/34.43  | | | | | | |             | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.43/34.43  | | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 197.43/34.43  | | | | | | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.43/34.43  | | | | | | |               & $i(all_57_13))))
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | | BETA: splitting (82) gives:
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | | Case 1:
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | |   (83)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 197.43/34.43  | | | | | | | |             op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.43/34.43  | | | | | | | |             = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 &
% 197.43/34.43  | | | | | | | |             op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.43/34.43  | | | | | | | |             = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.43/34.43  | | | | | | | |             op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 197.43/34.43  | | | | | | | |             = all_57_8 & $i(all_57_8)))
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | | ALPHA: (83) implies:
% 197.43/34.43  | | | | | | | |   (84)  op(e1, e1) = e1
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | | REF_CLOSE: (13), (26), (53), (84) are inconsistent by sub-proof
% 197.43/34.43  | | | | | | | |            #1959.
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | Case 2:
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | |   (85)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 &
% 197.43/34.43  | | | | | | | |             op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0)
% 197.43/34.43  | | | | | | | |             = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 197.43/34.43  | | | | | | | |             op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.43/34.43  | | | | | | | |             = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 &
% 197.43/34.43  | | | | | | | |             op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 197.43/34.43  | | | | | | | |             = all_57_13 & $i(all_57_13)))
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | | ALPHA: (85) implies:
% 197.43/34.43  | | | | | | | |   (86)  all_57_15 = e0
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | | COMBINE_EQS: (16), (86) imply:
% 197.43/34.43  | | | | | | | |   (87)  e2 = e0
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | | REDUCE: (45), (87) imply:
% 197.43/34.43  | | | | | | | |   (88)  $false
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | | CLOSE: (88) is inconsistent.
% 197.43/34.43  | | | | | | | | 
% 197.43/34.43  | | | | | | | End of split
% 197.43/34.43  | | | | | | | 
% 197.43/34.43  | | | | | | End of split
% 197.43/34.43  | | | | | | 
% 197.43/34.43  | | | | | End of split
% 197.43/34.43  | | | | | 
% 197.43/34.43  | | | | End of split
% 197.43/34.43  | | | | 
% 197.43/34.43  | | | Case 2:
% 197.43/34.43  | | | | 
% 197.43/34.43  | | | |   (89)  all_56_13 = e1 & op(e0, e2) = e1
% 197.43/34.43  | | | | 
% 197.43/34.43  | | | | ALPHA: (89) implies:
% 197.43/34.43  | | | |   (90)  op(e0, e2) = e1
% 197.43/34.43  | | | | 
% 197.43/34.43  | | | | REF_CLOSE: (13), (38), (48), (90) are inconsistent by sub-proof #1649.
% 197.43/34.43  | | | | 
% 197.43/34.43  | | | End of split
% 197.43/34.43  | | | 
% 197.43/34.43  | | End of split
% 197.43/34.43  | | 
% 197.43/34.43  | End of split
% 197.43/34.43  | 
% 197.43/34.43  End of proof
% 197.43/34.43  
% 197.43/34.43  Sub-proof #1513 shows that the following formulas are inconsistent:
% 197.43/34.43  ----------------------------------------------------------------
% 197.43/34.43    (1)  op(e1, e2) = e1
% 197.43/34.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.43    (3)  op(e1, e1) = e0
% 197.43/34.43    (4)  (all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 197.43/34.43           all_57_4 & $i(all_57_4))
% 197.43/34.43    (5)   ~ (e2 = e0)
% 197.43/34.43  
% 197.43/34.43  Begin of proof
% 197.43/34.43  | 
% 197.43/34.43  | BETA: splitting (4) gives:
% 197.43/34.43  | 
% 197.43/34.43  | Case 1:
% 197.43/34.43  | | 
% 197.43/34.43  | |   (6)  all_57_14 = e2 & op(e1, e1) = e2
% 197.43/34.43  | | 
% 197.43/34.43  | | ALPHA: (6) implies:
% 197.43/34.43  | |   (7)  op(e1, e1) = e2
% 197.43/34.43  | | 
% 197.43/34.43  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #1821.
% 197.43/34.43  | | 
% 197.43/34.43  | Case 2:
% 197.43/34.43  | | 
% 197.43/34.43  | |   (8)   ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4)
% 197.43/34.43  | | 
% 197.43/34.43  | | ALPHA: (8) implies:
% 197.43/34.43  | |   (9)   ~ (all_57_4 = e1)
% 197.43/34.43  | |   (10)  op(e1, e2) = all_57_4
% 197.43/34.43  | | 
% 197.43/34.43  | | GROUND_INST: instantiating (2) with e1, all_57_4, e2, e1, simplifying with
% 197.43/34.43  | |              (1), (10) gives:
% 197.43/34.43  | |   (11)  all_57_4 = e1
% 197.43/34.43  | | 
% 197.43/34.43  | | REDUCE: (9), (11) imply:
% 197.43/34.43  | |   (12)  $false
% 197.43/34.43  | | 
% 197.43/34.43  | | CLOSE: (12) is inconsistent.
% 197.43/34.43  | | 
% 197.43/34.43  | End of split
% 197.43/34.43  | 
% 197.43/34.43  End of proof
% 197.43/34.43  
% 197.43/34.43  Sub-proof #1514 shows that the following formulas are inconsistent:
% 197.43/34.43  ----------------------------------------------------------------
% 197.43/34.43    (1)   ~ (all_52_14 = e0)
% 197.43/34.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.43    (3)  op(e1, e0) = all_52_14
% 197.43/34.43    (4)   ~ (all_52_14 = e1)
% 197.43/34.43    (5)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.43/34.43           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.43/34.43           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.43/34.43                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 197.43/34.43               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.43/34.43               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 197.43/34.43           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 197.43/34.43             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.43/34.43               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.43/34.43           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.43/34.43               = all_57_7 & $i(all_57_7))))
% 197.43/34.43  
% 197.43/34.43  Begin of proof
% 197.43/34.43  | 
% 197.43/34.43  | BETA: splitting (5) gives:
% 197.43/34.43  | 
% 197.43/34.43  | Case 1:
% 197.43/34.43  | | 
% 197.43/34.43  | |   (6)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.43/34.43  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.43/34.43  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.43/34.43  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 197.43/34.43  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.43/34.43  | |            all_57_11 & $i(all_57_11)))
% 197.43/34.43  | | 
% 197.43/34.43  | | ALPHA: (6) implies:
% 197.43/34.43  | |   (7)  op(e1, e0) = e1
% 197.43/34.43  | | 
% 197.43/34.43  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1958.
% 197.43/34.43  | | 
% 197.43/34.43  | Case 2:
% 197.43/34.43  | | 
% 197.43/34.43  | |   (8)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 197.43/34.43  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.43/34.43  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.43/34.43  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.43/34.43  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 197.43/34.43  | |            & $i(all_57_7)))
% 197.43/34.43  | | 
% 197.43/34.43  | | ALPHA: (8) implies:
% 197.43/34.43  | |   (9)  op(e1, e0) = e0
% 197.43/34.43  | | 
% 197.43/34.43  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1884.
% 197.43/34.43  | | 
% 197.43/34.43  | End of split
% 197.43/34.43  | 
% 197.43/34.43  End of proof
% 197.43/34.43  
% 197.43/34.43  Sub-proof #1515 shows that the following formulas are inconsistent:
% 197.43/34.43  ----------------------------------------------------------------
% 197.43/34.43    (1)   ~ (all_52_13 = e2)
% 197.43/34.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.43    (3)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.43/34.43           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.43/34.43           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.43/34.43                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.43/34.43               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.43/34.43               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.43/34.43           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.43/34.43             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.43/34.43               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.43/34.43           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.43/34.43               = all_57_4 & $i(all_57_4))))
% 197.43/34.43    (4)   ~ (all_57_5 = e0)
% 197.43/34.43    (5)  op(e2, e0) = all_52_13
% 197.43/34.43    (6)  op(e0, e2) = all_57_5
% 197.43/34.43  
% 197.43/34.43  Begin of proof
% 197.43/34.43  | 
% 197.43/34.43  | BETA: splitting (3) gives:
% 197.43/34.43  | 
% 197.43/34.43  | Case 1:
% 197.43/34.43  | | 
% 197.43/34.43  | |   (7)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.43/34.43  | |        op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.43/34.43  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.43/34.43  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0
% 197.43/34.43  | |            & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.43/34.43  | |            all_57_13 & $i(all_57_13)))
% 197.43/34.43  | | 
% 197.43/34.43  | | ALPHA: (7) implies:
% 197.43/34.43  | |   (8)  op(e2, e0) = e2
% 197.43/34.43  | | 
% 197.43/34.43  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1662.
% 197.43/34.43  | | 
% 197.43/34.43  | Case 2:
% 197.43/34.43  | | 
% 197.43/34.44  | |   (9)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 197.43/34.44  | |        all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.43/34.44  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 197.43/34.44  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.43/34.44  | |            & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4
% 197.43/34.44  | |            & $i(all_57_4)))
% 197.43/34.44  | | 
% 197.43/34.44  | | ALPHA: (9) implies:
% 197.43/34.44  | |   (10)  op(e0, e2) = e0
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1589.
% 197.43/34.44  | | 
% 197.43/34.44  | End of split
% 197.43/34.44  | 
% 197.43/34.44  End of proof
% 197.43/34.44  
% 197.43/34.44  Sub-proof #1516 shows that the following formulas are inconsistent:
% 197.43/34.44  ----------------------------------------------------------------
% 197.43/34.44    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.44    (2)  op(e2, e2) = all_4_2
% 197.43/34.44    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.43/34.44           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.43/34.44           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.43/34.44                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 197.43/34.44               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.43/34.44               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.43/34.44           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 197.43/34.44           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.43/34.44               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.43/34.44           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.43/34.44               = all_57_5 & $i(all_57_5))))
% 197.43/34.44    (4)   ~ (all_4_2 = e1)
% 197.43/34.44    (5)  op(e1, e1) = e0
% 197.43/34.44    (6)   ~ (e2 = e0)
% 197.43/34.44  
% 197.43/34.44  Begin of proof
% 197.43/34.44  | 
% 197.43/34.44  | BETA: splitting (3) gives:
% 197.43/34.44  | 
% 197.43/34.44  | Case 1:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.43/34.44  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.43/34.44  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.43/34.44  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 197.43/34.44  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.43/34.44  | |            & $i(all_57_8)))
% 197.43/34.44  | | 
% 197.43/34.44  | | ALPHA: (7) implies:
% 197.43/34.44  | |   (8)  op(e2, e2) = e1
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1969.
% 197.43/34.44  | | 
% 197.43/34.44  | Case 2:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.43/34.44  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.43/34.44  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 197.43/34.44  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.43/34.44  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.43/34.44  | |            & $i(all_57_5)))
% 197.43/34.44  | | 
% 197.43/34.44  | | ALPHA: (9) implies:
% 197.43/34.44  | |   (10)  op(e1, e1) = e2
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (1), (5), (6), (10) are inconsistent by sub-proof #1821.
% 197.43/34.44  | | 
% 197.43/34.44  | End of split
% 197.43/34.44  | 
% 197.43/34.44  End of proof
% 197.43/34.44  
% 197.43/34.44  Sub-proof #1517 shows that the following formulas are inconsistent:
% 197.43/34.44  ----------------------------------------------------------------
% 197.43/34.44    (1)   ~ (e3 = e2)
% 197.43/34.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.44    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.43/34.44           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.43/34.44           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.43/34.44                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.43/34.44               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.43/34.44               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.43/34.44           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.43/34.44           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.43/34.44             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.43/34.44           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.43/34.44               = all_57_1 & $i(all_57_1))))
% 197.43/34.44    (4)  op(e3, e3) = e3
% 197.43/34.44    (5)  op(e0, e0) = e2
% 197.43/34.44    (6)   ~ (e3 = e0)
% 197.43/34.44  
% 197.43/34.44  Begin of proof
% 197.43/34.44  | 
% 197.43/34.44  | BETA: splitting (3) gives:
% 197.43/34.44  | 
% 197.43/34.44  | Case 1:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.43/34.44  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.43/34.44  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 197.43/34.44  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 197.43/34.44  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.43/34.44  | |            all_57_13 & $i(all_57_13)))
% 197.43/34.44  | | 
% 197.43/34.44  | | ALPHA: (7) implies:
% 197.43/34.44  | |   (8)  op(e3, e3) = e0
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1961.
% 197.43/34.44  | | 
% 197.43/34.44  | Case 2:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 197.43/34.44  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.43/34.44  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.43/34.44  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.43/34.44  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 197.43/34.44  | |            & $i(all_57_1)))
% 197.43/34.44  | | 
% 197.43/34.44  | | ALPHA: (9) implies:
% 197.43/34.44  | |   (10)  op(e0, e0) = e3
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1692.
% 197.43/34.44  | | 
% 197.43/34.44  | End of split
% 197.43/34.44  | 
% 197.43/34.44  End of proof
% 197.43/34.44  
% 197.43/34.44  Sub-proof #1518 shows that the following formulas are inconsistent:
% 197.43/34.44  ----------------------------------------------------------------
% 197.43/34.44    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.43/34.44         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.43/34.44    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.43/34.44         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.43/34.44    (3)   ~ (e3 = e2)
% 197.43/34.44    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.44    (5)  all_56_7 = e1
% 197.43/34.44    (6)   ~ (all_57_5 = e0)
% 197.43/34.44    (7)  op(e1, e0) = all_52_14
% 197.43/34.44    (8)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.43/34.44           all_57_2 & $i(all_57_2))
% 197.43/34.44    (9)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.43/34.44         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.43/34.44    (10)  op(e0, e1) = all_52_11
% 197.43/34.44    (11)  op(e3, e3) = e3
% 197.43/34.44    (12)   ~ (all_52_14 = e1)
% 197.43/34.44    (13)  op(e0, e2) = all_57_5
% 197.43/34.44    (14)  op(e1, e1) = e0
% 197.43/34.44    (15)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.43/34.44          | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.43/34.44    (16)   ~ (e1 = e0)
% 197.43/34.44    (17)   ~ (e2 = e1)
% 197.43/34.44    (18)   ~ (all_52_11 = e0)
% 197.43/34.44    (19)  op(e0, e0) = e2
% 197.43/34.44    (20)   ~ (e3 = e1)
% 197.43/34.44    (21)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.43/34.44          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.43/34.44    (22)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.43/34.44          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.44    (23)   ~ (e2 = e0)
% 197.43/34.44    (24)   ~ (e3 = e0)
% 197.43/34.44  
% 197.43/34.44  Begin of proof
% 197.43/34.44  | 
% 197.43/34.44  | BETA: splitting (15) gives:
% 197.43/34.44  | 
% 197.43/34.44  | Case 1:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (25)  all_56_12 = e0 & op(e0, e3) = e0
% 197.43/34.44  | | 
% 197.43/34.44  | | ALPHA: (25) implies:
% 197.43/34.44  | |   (26)  all_56_12 = e0
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (12), (14), (16),
% 197.43/34.44  | |            (17), (19), (20), (21), (22), (23), (24), (26) are inconsistent
% 197.43/34.44  | |            by sub-proof #1520.
% 197.43/34.44  | | 
% 197.43/34.44  | Case 2:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (27)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.43/34.44  | |           e0)
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (4), (6), (10), (13), (18), (27) are inconsistent by sub-proof
% 197.43/34.44  | |            #1519.
% 197.43/34.44  | | 
% 197.43/34.44  | End of split
% 197.43/34.44  | 
% 197.43/34.44  End of proof
% 197.43/34.44  
% 197.43/34.44  Sub-proof #1519 shows that the following formulas are inconsistent:
% 197.43/34.44  ----------------------------------------------------------------
% 197.43/34.44    (1)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.43/34.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.44    (3)   ~ (all_57_5 = e0)
% 197.43/34.44    (4)  op(e0, e1) = all_52_11
% 197.43/34.44    (5)  op(e0, e2) = all_57_5
% 197.43/34.44    (6)   ~ (all_52_11 = e0)
% 197.43/34.44  
% 197.43/34.44  Begin of proof
% 197.43/34.44  | 
% 197.43/34.44  | BETA: splitting (1) gives:
% 197.43/34.44  | 
% 197.43/34.44  | Case 1:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (7)  all_56_13 = e0 & op(e0, e2) = e0
% 197.43/34.44  | | 
% 197.43/34.44  | | ALPHA: (7) implies:
% 197.43/34.44  | |   (8)  op(e0, e2) = e0
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1589.
% 197.43/34.44  | | 
% 197.43/34.44  | Case 2:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 197.43/34.44  | | 
% 197.43/34.44  | | ALPHA: (9) implies:
% 197.43/34.44  | |   (10)  op(e0, e1) = e0
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1931.
% 197.43/34.44  | | 
% 197.43/34.44  | End of split
% 197.43/34.44  | 
% 197.43/34.44  End of proof
% 197.43/34.44  
% 197.43/34.44  Sub-proof #1520 shows that the following formulas are inconsistent:
% 197.43/34.44  ----------------------------------------------------------------
% 197.43/34.44    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.43/34.44         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.43/34.44    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.43/34.44         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.43/34.44    (3)   ~ (e3 = e2)
% 197.43/34.44    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.44    (5)  all_56_7 = e1
% 197.43/34.44    (6)  op(e1, e0) = all_52_14
% 197.43/34.44    (7)  (all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.43/34.44           all_57_2 & $i(all_57_2))
% 197.43/34.44    (8)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.43/34.44         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.43/34.44    (9)  op(e3, e3) = e3
% 197.43/34.44    (10)   ~ (all_52_14 = e1)
% 197.43/34.44    (11)  op(e1, e1) = e0
% 197.43/34.44    (12)   ~ (e1 = e0)
% 197.43/34.44    (13)   ~ (e2 = e1)
% 197.43/34.44    (14)  all_56_12 = e0
% 197.43/34.44    (15)  op(e0, e0) = e2
% 197.43/34.44    (16)   ~ (e3 = e1)
% 197.43/34.44    (17)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.43/34.44          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.43/34.44    (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.43/34.44          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.44    (19)   ~ (e2 = e0)
% 197.43/34.44    (20)   ~ (e3 = e0)
% 197.43/34.44  
% 197.43/34.44  Begin of proof
% 197.43/34.44  | 
% 197.43/34.44  | BETA: splitting (2) gives:
% 197.43/34.44  | 
% 197.43/34.44  | Case 1:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 197.43/34.44  | |           e1)
% 197.43/34.44  | | 
% 197.43/34.44  | | BETA: splitting (21) gives:
% 197.43/34.44  | | 
% 197.43/34.44  | | Case 1:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (22)  all_56_0 = e1 & op(e3, e3) = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (22) implies:
% 197.43/34.44  | | |   (23)  op(e3, e3) = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (4), (9), (16), (23) are inconsistent by sub-proof #1966.
% 197.43/34.44  | | | 
% 197.43/34.44  | | Case 2:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (24)  all_56_2 = e1 & op(e2, e3) = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (24) implies:
% 197.43/34.44  | | |   (25)  all_56_2 = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | BETA: splitting (7) gives:
% 197.43/34.44  | | | 
% 197.43/34.44  | | | Case 1:
% 197.43/34.44  | | | | 
% 197.43/34.44  | | | |   (26)  all_57_15 = e3 & op(e0, e0) = e3
% 197.43/34.44  | | | | 
% 197.43/34.44  | | | | ALPHA: (26) implies:
% 197.43/34.44  | | | |   (27)  op(e0, e0) = e3
% 197.43/34.44  | | | | 
% 197.43/34.44  | | | | REF_CLOSE: (3), (4), (15), (27) are inconsistent by sub-proof #1692.
% 197.43/34.44  | | | | 
% 197.43/34.44  | | | Case 2:
% 197.43/34.44  | | | | 
% 197.43/34.44  | | | |   (28)   ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)
% 197.43/34.44  | | | | 
% 197.43/34.44  | | | | ALPHA: (28) implies:
% 197.43/34.44  | | | |   (29)   ~ (all_57_2 = e0)
% 197.43/34.44  | | | |   (30)  op(e0, e3) = all_57_2
% 197.43/34.44  | | | | 
% 197.43/34.44  | | | | REF_CLOSE: (1), (3), (4), (6), (8), (9), (10), (11), (12), (13), (16),
% 197.43/34.44  | | | |            (17), (18), (19), (20), (25), (29), (30) are inconsistent by
% 197.43/34.44  | | | |            sub-proof #1525.
% 197.43/34.44  | | | | 
% 197.43/34.44  | | | End of split
% 197.43/34.44  | | | 
% 197.43/34.44  | | End of split
% 197.43/34.44  | | 
% 197.43/34.44  | Case 2:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (31)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 197.43/34.44  | |           e1)
% 197.43/34.44  | | 
% 197.43/34.44  | | BETA: splitting (31) gives:
% 197.43/34.44  | | 
% 197.43/34.44  | | Case 1:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (32)  all_56_6 = e1 & op(e1, e3) = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (32) implies:
% 197.43/34.44  | | |   (33)  all_56_6 = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (3), (4), (5), (11), (13), (16), (17), (18), (19), (20), (33)
% 197.43/34.44  | | |            are inconsistent by sub-proof #1616.
% 197.43/34.44  | | | 
% 197.43/34.44  | | Case 2:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (34)  all_56_12 = e1 & op(e0, e3) = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (34) implies:
% 197.43/34.44  | | |   (35)  all_56_12 = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | COMBINE_EQS: (14), (35) imply:
% 197.43/34.44  | | |   (36)  e1 = e0
% 197.43/34.44  | | | 
% 197.43/34.44  | | | COMBINE_EQS: (5), (36) imply:
% 197.43/34.44  | | |   (37)  all_56_7 = e0
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (3), (4), (6), (8), (10), (11), (12), (13), (16), (17), (18),
% 197.43/34.44  | | |            (19), (20), (37) are inconsistent by sub-proof #1521.
% 197.43/34.44  | | | 
% 197.43/34.44  | | End of split
% 197.43/34.44  | | 
% 197.43/34.44  | End of split
% 197.43/34.44  | 
% 197.43/34.44  End of proof
% 197.43/34.44  
% 197.43/34.44  Sub-proof #1521 shows that the following formulas are inconsistent:
% 197.43/34.44  ----------------------------------------------------------------
% 197.43/34.44    (1)   ~ (e3 = e2)
% 197.43/34.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.44    (3)  all_56_7 = e0
% 197.43/34.44    (4)  op(e1, e0) = all_52_14
% 197.43/34.44    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.43/34.44         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.43/34.44    (6)   ~ (all_52_14 = e1)
% 197.43/34.44    (7)  op(e1, e1) = e0
% 197.43/34.44    (8)   ~ (e1 = e0)
% 197.43/34.44    (9)   ~ (e2 = e1)
% 197.43/34.44    (10)   ~ (e3 = e1)
% 197.43/34.44    (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.43/34.44          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.43/34.44    (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.43/34.44          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.44    (13)   ~ (e2 = e0)
% 197.43/34.44    (14)   ~ (e3 = e0)
% 197.43/34.44  
% 197.43/34.44  Begin of proof
% 197.43/34.44  | 
% 197.43/34.44  | BETA: splitting (5) gives:
% 197.43/34.44  | 
% 197.43/34.44  | Case 1:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (15)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 197.43/34.44  | |           e1)
% 197.43/34.44  | | 
% 197.43/34.44  | | BETA: splitting (15) gives:
% 197.43/34.44  | | 
% 197.43/34.44  | | Case 1:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (16)  all_56_6 = e1 & op(e1, e3) = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (16) implies:
% 197.43/34.44  | | |   (17)  all_56_6 = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (1), (2), (3), (7), (9), (10), (11), (12), (13), (14), (17) are
% 197.43/34.44  | | |            inconsistent by sub-proof #1523.
% 197.43/34.44  | | | 
% 197.43/34.44  | | Case 2:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (18)  all_56_7 = e1 & op(e1, e2) = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (18) implies:
% 197.43/34.44  | | |   (19)  all_56_7 = e1
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (3), (8), (19) are inconsistent by sub-proof #1522.
% 197.43/34.44  | | | 
% 197.43/34.44  | | End of split
% 197.43/34.44  | | 
% 197.43/34.44  | Case 2:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (20)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 197.43/34.44  | |           e1)
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (2), (4), (6), (7), (8), (20) are inconsistent by sub-proof
% 197.43/34.44  | |            #1528.
% 197.43/34.44  | | 
% 197.43/34.44  | End of split
% 197.43/34.44  | 
% 197.43/34.44  End of proof
% 197.43/34.44  
% 197.43/34.44  Sub-proof #1522 shows that the following formulas are inconsistent:
% 197.43/34.44  ----------------------------------------------------------------
% 197.43/34.44    (1)  all_56_7 = e1
% 197.43/34.44    (2)  all_56_7 = e0
% 197.43/34.44    (3)   ~ (e1 = e0)
% 197.43/34.44  
% 197.43/34.44  Begin of proof
% 197.43/34.44  | 
% 197.43/34.44  | COMBINE_EQS: (1), (2) imply:
% 197.43/34.44  |   (4)  e1 = e0
% 197.43/34.44  | 
% 197.43/34.44  | SIMP: (4) implies:
% 197.43/34.44  |   (5)  e1 = e0
% 197.43/34.44  | 
% 197.43/34.44  | REDUCE: (3), (5) imply:
% 197.43/34.44  |   (6)  $false
% 197.43/34.44  | 
% 197.43/34.44  | CLOSE: (6) is inconsistent.
% 197.43/34.44  | 
% 197.43/34.44  End of proof
% 197.43/34.44  
% 197.43/34.44  Sub-proof #1523 shows that the following formulas are inconsistent:
% 197.43/34.44  ----------------------------------------------------------------
% 197.43/34.44    (1)   ~ (e3 = e2)
% 197.43/34.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.44    (3)  all_56_7 = e0
% 197.43/34.44    (4)  op(e1, e1) = e0
% 197.43/34.44    (5)  all_56_6 = e1
% 197.43/34.44    (6)   ~ (e2 = e1)
% 197.43/34.44    (7)   ~ (e3 = e1)
% 197.43/34.44    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.43/34.44         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.43/34.44    (9)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.43/34.44         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.44    (10)   ~ (e2 = e0)
% 197.43/34.44    (11)   ~ (e3 = e0)
% 197.43/34.44  
% 197.43/34.44  Begin of proof
% 197.43/34.44  | 
% 197.43/34.44  | BETA: splitting (8) gives:
% 197.43/34.44  | 
% 197.43/34.44  | Case 1:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (12)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 197.43/34.44  | |           e2)
% 197.43/34.44  | | 
% 197.43/34.44  | | BETA: splitting (12) gives:
% 197.43/34.44  | | 
% 197.43/34.44  | | Case 1:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (13)  all_56_6 = e2 & op(e1, e3) = e2
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (13) implies:
% 197.43/34.44  | | |   (14)  all_56_6 = e2
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (5), (6), (14) are inconsistent by sub-proof #1779.
% 197.43/34.44  | | | 
% 197.43/34.44  | | Case 2:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (15)  all_56_7 = e2 & op(e1, e2) = e2
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (15) implies:
% 197.43/34.44  | | |   (16)  all_56_7 = e2
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (3), (10), (16) are inconsistent by sub-proof #1868.
% 197.43/34.44  | | | 
% 197.43/34.44  | | End of split
% 197.43/34.44  | | 
% 197.43/34.44  | Case 2:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (17)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 197.43/34.44  | |           e2)
% 197.43/34.44  | | 
% 197.43/34.44  | | BETA: splitting (17) gives:
% 197.43/34.44  | | 
% 197.43/34.44  | | Case 1:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (18)  all_56_8 = e2 & op(e1, e1) = e2
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (18) implies:
% 197.43/34.44  | | |   (19)  op(e1, e1) = e2
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (2), (4), (10), (19) are inconsistent by sub-proof #1821.
% 197.43/34.44  | | | 
% 197.43/34.44  | | Case 2:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (20)  all_56_11 = e2 & op(e1, e0) = e2
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (20) implies:
% 197.43/34.44  | | |   (21)  all_56_11 = e2
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (11), (21) are inconsistent
% 197.43/34.44  | | |            by sub-proof #1524.
% 197.43/34.44  | | | 
% 197.43/34.44  | | End of split
% 197.43/34.44  | | 
% 197.43/34.44  | End of split
% 197.43/34.44  | 
% 197.43/34.44  End of proof
% 197.43/34.44  
% 197.43/34.44  Sub-proof #1524 shows that the following formulas are inconsistent:
% 197.43/34.44  ----------------------------------------------------------------
% 197.43/34.44    (1)   ~ (e3 = e2)
% 197.43/34.44    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.44    (3)  all_56_7 = e0
% 197.43/34.44    (4)  all_56_11 = e2
% 197.43/34.44    (5)  op(e1, e1) = e0
% 197.43/34.44    (6)  all_56_6 = e1
% 197.43/34.44    (7)   ~ (e3 = e1)
% 197.43/34.44    (8)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.43/34.44         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.44    (9)   ~ (e3 = e0)
% 197.43/34.44  
% 197.43/34.44  Begin of proof
% 197.43/34.44  | 
% 197.43/34.44  | BETA: splitting (8) gives:
% 197.43/34.44  | 
% 197.43/34.44  | Case 1:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 197.43/34.44  | |           e3)
% 197.43/34.44  | | 
% 197.43/34.44  | | BETA: splitting (10) gives:
% 197.43/34.44  | | 
% 197.43/34.44  | | Case 1:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (11)  all_56_6 = e3 & op(e1, e3) = e3
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (11) implies:
% 197.43/34.44  | | |   (12)  all_56_6 = e3
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (6), (7), (12) are inconsistent by sub-proof #1620.
% 197.43/34.44  | | | 
% 197.43/34.44  | | Case 2:
% 197.43/34.44  | | | 
% 197.43/34.44  | | |   (13)  all_56_7 = e3 & op(e1, e2) = e3
% 197.43/34.44  | | | 
% 197.43/34.44  | | | ALPHA: (13) implies:
% 197.43/34.44  | | |   (14)  all_56_7 = e3
% 197.43/34.44  | | | 
% 197.43/34.44  | | | REF_CLOSE: (3), (9), (14) are inconsistent by sub-proof #1797.
% 197.43/34.44  | | | 
% 197.43/34.44  | | End of split
% 197.43/34.44  | | 
% 197.43/34.44  | Case 2:
% 197.43/34.44  | | 
% 197.43/34.44  | |   (15)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 197.43/34.44  | |           e3)
% 197.43/34.44  | | 
% 197.43/34.44  | | REF_CLOSE: (1), (2), (4), (5), (9), (15) are inconsistent by sub-proof
% 197.43/34.44  | |            #1618.
% 197.43/34.44  | | 
% 197.43/34.44  | End of split
% 197.43/34.44  | 
% 197.43/34.44  End of proof
% 197.43/34.44  
% 197.43/34.44  Sub-proof #1525 shows that the following formulas are inconsistent:
% 197.43/34.44  ----------------------------------------------------------------
% 197.43/34.44    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.43/34.44         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.43/34.44    (2)   ~ (e3 = e2)
% 197.43/34.44    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.44           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.44    (4)  op(e1, e0) = all_52_14
% 197.43/34.44    (5)   ~ (all_57_2 = e0)
% 197.43/34.45    (6)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.43/34.45         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.43/34.45    (7)  op(e3, e3) = e3
% 197.43/34.45    (8)   ~ (all_52_14 = e1)
% 197.43/34.45    (9)  op(e1, e1) = e0
% 197.43/34.45    (10)   ~ (e1 = e0)
% 197.43/34.45    (11)  all_56_2 = e1
% 197.43/34.45    (12)   ~ (e2 = e1)
% 197.43/34.45    (13)  op(e0, e3) = all_57_2
% 197.43/34.45    (14)   ~ (e3 = e1)
% 197.43/34.45    (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.43/34.45          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.43/34.45    (16)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.43/34.45          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.45    (17)   ~ (e2 = e0)
% 197.43/34.45    (18)   ~ (e3 = e0)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | BETA: splitting (1) gives:
% 197.43/34.45  | 
% 197.43/34.45  | Case 1:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 197.43/34.45  | |           e0)
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (3), (7), (10), (11), (18), (19) are inconsistent by sub-proof
% 197.43/34.45  | |            #1529.
% 197.43/34.45  | | 
% 197.43/34.45  | Case 2:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (20)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 197.43/34.45  | |           e0)
% 197.43/34.45  | | 
% 197.43/34.45  | | BETA: splitting (20) gives:
% 197.43/34.45  | | 
% 197.43/34.45  | | Case 1:
% 197.43/34.45  | | | 
% 197.43/34.45  | | |   (21)  all_56_6 = e0 & op(e1, e3) = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | ALPHA: (21) implies:
% 197.43/34.45  | | |   (22)  all_56_6 = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | REF_CLOSE: (2), (3), (4), (6), (8), (9), (10), (12), (14), (15), (16),
% 197.43/34.45  | | |            (17), (18), (22) are inconsistent by sub-proof #1527.
% 197.43/34.45  | | | 
% 197.43/34.45  | | Case 2:
% 197.43/34.45  | | | 
% 197.43/34.45  | | |   (23)  all_56_12 = e0 & op(e0, e3) = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | ALPHA: (23) implies:
% 197.43/34.45  | | |   (24)  op(e0, e3) = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | REF_CLOSE: (3), (5), (13), (24) are inconsistent by sub-proof #1526.
% 197.43/34.45  | | | 
% 197.43/34.45  | | End of split
% 197.43/34.45  | | 
% 197.43/34.45  | End of split
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1526 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.45    (2)  op(e0, e3) = all_57_2
% 197.43/34.45    (3)  op(e0, e3) = e0
% 197.43/34.45    (4)   ~ (all_57_2 = e0)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | GROUND_INST: instantiating (1) with e0, all_57_2, e3, e0, simplifying with
% 197.43/34.45  |              (2), (3) gives:
% 197.43/34.45  |   (5)  all_57_2 = e0
% 197.43/34.45  | 
% 197.43/34.45  | REDUCE: (4), (5) imply:
% 197.43/34.45  |   (6)  $false
% 197.43/34.45  | 
% 197.43/34.45  | CLOSE: (6) is inconsistent.
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1527 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)   ~ (e3 = e2)
% 197.43/34.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.45    (3)  op(e1, e0) = all_52_14
% 197.43/34.45    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.43/34.45         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.43/34.45    (5)  all_56_6 = e0
% 197.43/34.45    (6)   ~ (all_52_14 = e1)
% 197.43/34.45    (7)  op(e1, e1) = e0
% 197.43/34.45    (8)   ~ (e1 = e0)
% 197.43/34.45    (9)   ~ (e2 = e1)
% 197.43/34.45    (10)   ~ (e3 = e1)
% 197.43/34.45    (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.43/34.45          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.43/34.45    (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.43/34.45          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.45    (13)   ~ (e2 = e0)
% 197.43/34.45    (14)   ~ (e3 = e0)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | BETA: splitting (4) gives:
% 197.43/34.45  | 
% 197.43/34.45  | Case 1:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (15)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 197.43/34.45  | |           e1)
% 197.43/34.45  | | 
% 197.43/34.45  | | BETA: splitting (15) gives:
% 197.43/34.45  | | 
% 197.43/34.45  | | Case 1:
% 197.43/34.45  | | | 
% 197.43/34.45  | | |   (16)  all_56_6 = e1 & op(e1, e3) = e1
% 197.43/34.45  | | | 
% 197.43/34.45  | | | ALPHA: (16) implies:
% 197.43/34.45  | | |   (17)  all_56_6 = e1
% 197.43/34.45  | | | 
% 197.43/34.45  | | | REF_CLOSE: (5), (8), (17) are inconsistent by sub-proof #1565.
% 197.43/34.45  | | | 
% 197.43/34.45  | | Case 2:
% 197.43/34.45  | | | 
% 197.43/34.45  | | |   (18)  all_56_7 = e1 & op(e1, e2) = e1
% 197.43/34.45  | | | 
% 197.43/34.45  | | | ALPHA: (18) implies:
% 197.43/34.45  | | |   (19)  all_56_7 = e1
% 197.43/34.45  | | | 
% 197.43/34.45  | | | REF_CLOSE: (1), (2), (5), (7), (9), (10), (11), (12), (13), (14), (19) are
% 197.43/34.45  | | |            inconsistent by sub-proof #1579.
% 197.43/34.45  | | | 
% 197.43/34.45  | | End of split
% 197.43/34.45  | | 
% 197.43/34.45  | Case 2:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (20)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 197.43/34.45  | |           e1)
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (2), (3), (6), (7), (8), (20) are inconsistent by sub-proof
% 197.43/34.45  | |            #1528.
% 197.43/34.45  | | 
% 197.43/34.45  | End of split
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1528 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.45    (2)  op(e1, e0) = all_52_14
% 197.43/34.45    (3)   ~ (all_52_14 = e1)
% 197.43/34.45    (4)  op(e1, e1) = e0
% 197.43/34.45    (5)   ~ (e1 = e0)
% 197.43/34.45    (6)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | BETA: splitting (6) gives:
% 197.43/34.45  | 
% 197.43/34.45  | Case 1:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 197.43/34.45  | | 
% 197.43/34.45  | | ALPHA: (7) implies:
% 197.43/34.45  | |   (8)  op(e1, e1) = e1
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1959.
% 197.43/34.45  | | 
% 197.43/34.45  | Case 2:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (9)  all_56_11 = e1 & op(e1, e0) = e1
% 197.43/34.45  | | 
% 197.43/34.45  | | ALPHA: (9) implies:
% 197.43/34.45  | |   (10)  op(e1, e0) = e1
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1958.
% 197.43/34.45  | | 
% 197.43/34.45  | End of split
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1529 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.45    (2)  op(e3, e3) = e3
% 197.43/34.45    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 197.43/34.45    (4)   ~ (e1 = e0)
% 197.43/34.45    (5)  all_56_2 = e1
% 197.43/34.45    (6)   ~ (e3 = e0)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | BETA: splitting (3) gives:
% 197.43/34.45  | 
% 197.43/34.45  | Case 1:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 197.43/34.45  | | 
% 197.43/34.45  | | ALPHA: (7) implies:
% 197.43/34.45  | |   (8)  op(e3, e3) = e0
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1961.
% 197.43/34.45  | | 
% 197.43/34.45  | Case 2:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #1858.
% 197.43/34.45  | | 
% 197.43/34.45  | End of split
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1530 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)   ~ (all_52_4 = e3)
% 197.43/34.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.45    (3)  op(e3, e2) = all_52_4
% 197.43/34.45    (4)  op(e2, e2) = all_4_2
% 197.43/34.45    (5)   ~ (all_4_2 = e3)
% 197.43/34.45    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.43/34.45           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.43/34.45           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.43/34.45                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.43/34.45               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.43/34.45               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.43/34.45           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.43/34.45           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.43/34.45               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.43/34.45           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.43/34.45               = all_57_2 & $i(all_57_2))))
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | BETA: splitting (6) gives:
% 197.43/34.45  | 
% 197.43/34.45  | Case 1:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.43/34.45  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.43/34.45  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.43/34.45  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 197.43/34.45  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.43/34.45  | |            & $i(all_57_5)))
% 197.43/34.45  | | 
% 197.43/34.45  | | ALPHA: (7) implies:
% 197.43/34.45  | |   (8)  op(e3, e2) = e3
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1972.
% 197.43/34.45  | | 
% 197.43/34.45  | Case 2:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 197.43/34.45  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.43/34.45  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 197.43/34.45  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.43/34.45  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 197.43/34.45  | |            & $i(all_57_2)))
% 197.43/34.45  | | 
% 197.43/34.45  | | ALPHA: (9) implies:
% 197.43/34.45  | |   (10)  op(e2, e2) = e3
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #1975.
% 197.43/34.45  | | 
% 197.43/34.45  | End of split
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1531 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.45    (2)  op(e3, e2) = all_52_4
% 197.43/34.45    (3)  op(e2, e2) = all_4_2
% 197.43/34.45    (4)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 197.43/34.45    (5)   ~ (all_4_2 = e1)
% 197.43/34.45    (6)   ~ (all_52_4 = e1)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | BETA: splitting (4) gives:
% 197.43/34.45  | 
% 197.43/34.45  | Case 1:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (7)  all_56_1 = e1 & op(e3, e2) = e1
% 197.43/34.45  | | 
% 197.43/34.45  | | ALPHA: (7) implies:
% 197.43/34.45  | |   (8)  op(e3, e2) = e1
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1910.
% 197.43/34.45  | | 
% 197.43/34.45  | Case 2:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 197.43/34.45  | | 
% 197.43/34.45  | | ALPHA: (9) implies:
% 197.43/34.45  | |   (10)  op(e2, e2) = e1
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1969.
% 197.43/34.45  | | 
% 197.43/34.45  | End of split
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1532 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)  all_56_1 = e1
% 197.43/34.45    (2)  all_56_9 = e2
% 197.43/34.45    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.45    (4)  op(e3, e3) = e3
% 197.43/34.45    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.43/34.45         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.43/34.45    (6)   ~ (e1 = e0)
% 197.43/34.45    (7)  all_56_4 = e2
% 197.43/34.45    (8)   ~ (e2 = e0)
% 197.43/34.45    (9)   ~ (e3 = e0)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | BETA: splitting (5) gives:
% 197.43/34.45  | 
% 197.43/34.45  | Case 1:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 197.43/34.45  | |           e0)
% 197.43/34.45  | | 
% 197.43/34.45  | | BETA: splitting (10) gives:
% 197.43/34.45  | | 
% 197.43/34.45  | | Case 1:
% 197.43/34.45  | | | 
% 197.43/34.45  | | |   (11)  all_56_0 = e0 & op(e3, e3) = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | ALPHA: (11) implies:
% 197.43/34.45  | | |   (12)  op(e3, e3) = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | REF_CLOSE: (3), (4), (9), (12) are inconsistent by sub-proof #1961.
% 197.43/34.45  | | | 
% 197.43/34.45  | | Case 2:
% 197.43/34.45  | | | 
% 197.43/34.45  | | |   (13)  all_56_1 = e0 & op(e3, e2) = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | ALPHA: (13) implies:
% 197.43/34.45  | | |   (14)  all_56_1 = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | REF_CLOSE: (1), (6), (14) are inconsistent by sub-proof #1628.
% 197.43/34.45  | | | 
% 197.43/34.45  | | End of split
% 197.43/34.45  | | 
% 197.43/34.45  | Case 2:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 197.43/34.45  | |           e0)
% 197.43/34.45  | | 
% 197.43/34.45  | | BETA: splitting (15) gives:
% 197.43/34.45  | | 
% 197.43/34.45  | | Case 1:
% 197.43/34.45  | | | 
% 197.43/34.45  | | |   (16)  all_56_4 = e0 & op(e3, e1) = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | REF_CLOSE: (7), (8), (16) are inconsistent by sub-proof #1876.
% 197.43/34.45  | | | 
% 197.43/34.45  | | Case 2:
% 197.43/34.45  | | | 
% 197.43/34.45  | | |   (17)  all_56_9 = e0 & op(e3, e0) = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | ALPHA: (17) implies:
% 197.43/34.45  | | |   (18)  all_56_9 = e0
% 197.43/34.45  | | | 
% 197.43/34.45  | | | REF_CLOSE: (2), (8), (18) are inconsistent by sub-proof #1919.
% 197.43/34.45  | | | 
% 197.43/34.45  | | End of split
% 197.43/34.45  | | 
% 197.43/34.45  | End of split
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1533 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)  all_56_1 = e1
% 197.43/34.45    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.45    (3)  op(e3, e3) = e3
% 197.43/34.45    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 197.43/34.45    (5)   ~ (e1 = e0)
% 197.43/34.45    (6)   ~ (e3 = e0)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | BETA: splitting (4) gives:
% 197.43/34.45  | 
% 197.43/34.45  | Case 1:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 197.43/34.45  | | 
% 197.43/34.45  | | ALPHA: (7) implies:
% 197.43/34.45  | |   (8)  op(e3, e3) = e0
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1961.
% 197.43/34.45  | | 
% 197.43/34.45  | Case 2:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #1534.
% 197.43/34.45  | | 
% 197.43/34.45  | End of split
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1534 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)  all_56_1 = e0 & op(e3, e2) = e0
% 197.43/34.45    (2)  all_56_1 = e1
% 197.43/34.45    (3)   ~ (e1 = e0)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | ALPHA: (1) implies:
% 197.43/34.45  |   (4)  all_56_1 = e0
% 197.43/34.45  | 
% 197.43/34.45  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.45  |   (5)  e1 = e0
% 197.43/34.45  | 
% 197.43/34.45  | REDUCE: (3), (5) imply:
% 197.43/34.45  |   (6)  $false
% 197.43/34.45  | 
% 197.43/34.45  | CLOSE: (6) is inconsistent.
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1535 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.43/34.45         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.43/34.45    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.43/34.45         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.43/34.45    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.43/34.45         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.43/34.45    (4)   ~ (e3 = e2)
% 197.43/34.45    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.45    (6)  all_56_12 = e3
% 197.43/34.45    (7)  op(e3, e3) = e3
% 197.43/34.45    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 197.43/34.45    (9)   ~ (e1 = e0)
% 197.43/34.45    (10)   ~ (e2 = e1)
% 197.43/34.45    (11)   ~ (e3 = e1)
% 197.43/34.45    (12)   ~ (e2 = e0)
% 197.43/34.45    (13)   ~ (e3 = e0)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | BETA: splitting (8) gives:
% 197.43/34.45  | 
% 197.43/34.45  | Case 1:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (14)  all_56_0 = e0 & op(e3, e3) = e0
% 197.43/34.45  | | 
% 197.43/34.45  | | ALPHA: (14) implies:
% 197.43/34.45  | |   (15)  op(e3, e3) = e0
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (5), (7), (13), (15) are inconsistent by sub-proof #1961.
% 197.43/34.45  | | 
% 197.43/34.45  | Case 2:
% 197.43/34.45  | | 
% 197.43/34.45  | |   (16)  all_56_2 = e0 & op(e2, e3) = e0
% 197.43/34.45  | | 
% 197.43/34.45  | | ALPHA: (16) implies:
% 197.43/34.45  | |   (17)  all_56_2 = e0
% 197.43/34.45  | | 
% 197.43/34.45  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 197.43/34.45  | |            (17) are inconsistent by sub-proof #1596.
% 197.43/34.45  | | 
% 197.43/34.45  | End of split
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1536 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)  all_56_15 = e0 & op(e0, e0) = e0
% 197.43/34.45    (2)  all_56_15 = e2
% 197.43/34.45    (3)   ~ (e2 = e0)
% 197.43/34.45  
% 197.43/34.45  Begin of proof
% 197.43/34.45  | 
% 197.43/34.45  | ALPHA: (1) implies:
% 197.43/34.45  |   (4)  all_56_15 = e0
% 197.43/34.45  | 
% 197.43/34.45  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.45  |   (5)  e2 = e0
% 197.43/34.45  | 
% 197.43/34.45  | REDUCE: (3), (5) imply:
% 197.43/34.45  |   (6)  $false
% 197.43/34.45  | 
% 197.43/34.45  | CLOSE: (6) is inconsistent.
% 197.43/34.45  | 
% 197.43/34.45  End of proof
% 197.43/34.45  
% 197.43/34.45  Sub-proof #1537 shows that the following formulas are inconsistent:
% 197.43/34.45  ----------------------------------------------------------------
% 197.43/34.45    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.43/34.45         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.43/34.45    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.43/34.45         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.43/34.45    (3)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.43/34.45         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.43/34.45    (4)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.43/34.45         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.43/34.45    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.43/34.45         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.43/34.45    (6)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.43/34.45         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.43/34.45    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.43/34.45         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.43/34.45    (8)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.43/34.45         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.43/34.45    (9)   ~ (all_52_13 = e2)
% 197.43/34.45    (10)   ~ (e3 = e2)
% 197.43/34.45    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.45            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.45    (12)  op(e2, e2) = all_4_2
% 197.43/34.45    (13)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.43/34.45          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.43/34.45    (14)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.43/34.45          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.43/34.45    (15)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.43/34.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.43/34.45    (16)  all_56_11 = e2
% 197.43/34.45    (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 197.43/34.45          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.43/34.45    (18)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.43/34.45          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.43/34.45            e1)
% 197.43/34.45    (19)   ~ (all_52_8 = e3)
% 197.43/34.45    (20)  op(e2, e0) = all_52_13
% 197.43/34.45    (21)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.43/34.45          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.43/34.46    (22)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.43/34.46              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.43/34.46            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.43/34.46            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.43/34.46            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.43/34.46            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.43/34.46            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.43/34.46            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.43/34.46            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.43/34.46            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.43/34.46            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.43/34.46            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.43/34.46            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.43/34.46            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.43/34.46            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.43/34.46            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.43/34.46            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.43/34.46            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.43/34.46            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.43/34.46            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.43/34.46            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.43/34.46            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.43/34.46            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.43/34.46            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.43/34.46            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.43/34.46            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.43/34.46            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.43/34.46            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.43/34.46            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.43/34.46            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.43/34.46            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.43/34.46            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.43/34.46            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.43/34.46            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.43/34.46            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.43/34.46            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.43/34.46            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.43/34.46            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.43/34.46            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.43/34.46            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.43/34.46            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.43/34.46            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.43/34.46            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.43/34.46            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.43/34.46            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.43/34.46            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.43/34.46            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.43/34.46            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.43/34.46              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.43/34.46            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.43/34.46            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.43/34.46              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.43/34.46            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.43/34.46            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.43/34.46                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.43/34.46                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.43/34.46                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.43/34.46                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.43/34.46                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.43/34.46                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.43/34.46                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.43/34.46              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.43/34.46                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.43/34.46                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.43/34.46                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.43/34.46                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.43/34.46                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.43/34.46                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.43/34.46                $i(all_57_7))))
% 197.43/34.46    (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.43/34.46          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.43/34.46    (24)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.43/34.46          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.43/34.46    (25)  op(e0, e1) = all_52_11
% 197.43/34.46    (26)  op(e3, e3) = e3
% 197.43/34.46    (27)   ~ (all_52_12 = e3)
% 197.43/34.46    (28)   ~ (all_4_2 = e1)
% 197.43/34.46    (29)  op(e1, e1) = e0
% 197.43/34.46    (30)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.43/34.46          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.43/34.46    (31)   ~ (all_4_2 = e3)
% 197.43/34.46    (32)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.43/34.46          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.43/34.46    (33)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.43/34.46          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.43/34.46    (34)   ~ (e1 = e0)
% 197.43/34.46    (35)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 197.43/34.46          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.43/34.46    (36)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.43/34.46          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.43/34.46    (37)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.43/34.46              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.43/34.46                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.43/34.46                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.43/34.46    (38)   ~ (e2 = e1)
% 197.43/34.46    (39)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.43/34.46          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.43/34.46    (40)   ~ (all_52_11 = e0)
% 197.43/34.46    (41)  op(e3, e0) = all_52_12
% 197.43/34.46    (42)  all_56_12 = e2
% 197.43/34.46    (43)  op(e3, e1) = all_52_8
% 197.43/34.46    (44)  op(e0, e0) = e2
% 197.43/34.46    (45)   ~ (e3 = e1)
% 197.43/34.46    (46)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.43/34.46          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.43/34.46    (47)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.43/34.46          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.43/34.46    (48)   ~ (e2 = e0)
% 197.43/34.46    (49)   ~ (e3 = e0)
% 197.43/34.46  
% 197.43/34.46  Begin of proof
% 197.43/34.46  | 
% 197.43/34.46  | BETA: splitting (37) gives:
% 197.43/34.46  | 
% 197.43/34.46  | Case 1:
% 197.43/34.46  | | 
% 197.43/34.46  | |   (50)  all_56_15 = e0 & op(e0, e0) = e0
% 197.43/34.46  | | 
% 197.43/34.46  | | ALPHA: (50) implies:
% 197.43/34.46  | |   (51)  op(e0, e0) = e0
% 197.43/34.46  | | 
% 197.43/34.46  | | BETA: splitting (35) gives:
% 197.43/34.46  | | 
% 197.43/34.46  | | Case 1:
% 197.43/34.46  | | | 
% 197.43/34.46  | | |   (52)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 197.43/34.46  | | |           e3)
% 197.43/34.46  | | | 
% 197.43/34.46  | | | BETA: splitting (52) gives:
% 197.43/34.46  | | | 
% 197.43/34.46  | | | Case 1:
% 197.43/34.46  | | | | 
% 197.43/34.46  | | | |   (53)  all_56_9 = e3 & op(e3, e0) = e3
% 197.43/34.46  | | | | 
% 197.43/34.46  | | | | ALPHA: (53) implies:
% 197.43/34.46  | | | |   (54)  op(e3, e0) = e3
% 197.43/34.46  | | | | 
% 197.43/34.46  | | | | REF_CLOSE: (11), (27), (41), (54) are inconsistent by sub-proof #1964.
% 197.43/34.46  | | | | 
% 197.43/34.46  | | | Case 2:
% 197.43/34.46  | | | | 
% 197.43/34.46  | | | |   (55)  all_56_10 = e3 & op(e2, e0) = e3
% 197.43/34.46  | | | | 
% 197.43/34.46  | | | | ALPHA: (55) implies:
% 197.43/34.46  | | | |   (56)  all_56_10 = e3
% 197.43/34.46  | | | | 
% 197.43/34.46  | | | | BETA: splitting (13) gives:
% 197.43/34.46  | | | | 
% 197.43/34.46  | | | | Case 1:
% 197.43/34.46  | | | | | 
% 197.43/34.46  | | | | |   (57)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2,
% 197.43/34.46  | | | | |             e0) = e1)
% 197.43/34.46  | | | | | 
% 197.43/34.46  | | | | | BETA: splitting (57) gives:
% 197.43/34.46  | | | | | 
% 197.43/34.46  | | | | | Case 1:
% 197.43/34.46  | | | | | | 
% 197.43/34.46  | | | | | |   (58)  all_56_9 = e1 & op(e3, e0) = e1
% 197.43/34.46  | | | | | | 
% 197.43/34.46  | | | | | | ALPHA: (58) implies:
% 197.43/34.46  | | | | | |   (59)  all_56_9 = e1
% 197.43/34.46  | | | | | | 
% 197.43/34.46  | | | | | | BETA: splitting (47) gives:
% 197.43/34.46  | | | | | | 
% 197.43/34.46  | | | | | | Case 1:
% 197.43/34.46  | | | | | | | 
% 197.43/34.46  | | | | | | |   (60)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 &
% 197.43/34.46  | | | | | | |           op(e1, e2) = e3)
% 197.43/34.46  | | | | | | | 
% 197.43/34.46  | | | | | | | BETA: splitting (60) gives:
% 197.43/34.46  | | | | | | | 
% 197.43/34.46  | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | 
% 197.43/34.46  | | | | | | | |   (61)  all_56_6 = e3 & op(e1, e3) = e3
% 197.43/34.46  | | | | | | | | 
% 197.43/34.46  | | | | | | | | ALPHA: (61) implies:
% 197.43/34.46  | | | | | | | |   (62)  all_56_6 = e3
% 197.43/34.46  | | | | | | | | 
% 197.43/34.46  | | | | | | | | BETA: splitting (32) gives:
% 197.43/34.46  | | | | | | | | 
% 197.43/34.46  | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | 
% 197.43/34.46  | | | | | | | | |   (63)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 &
% 197.43/34.46  | | | | | | | | |           op(e3, e2) = e0)
% 197.43/34.46  | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | BETA: splitting (63) gives:
% 197.43/34.46  | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | |   (64)  all_56_0 = e0 & op(e3, e3) = e0
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | ALPHA: (64) implies:
% 197.43/34.46  | | | | | | | | | |   (65)  op(e3, e3) = e0
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | REF_CLOSE: (11), (26), (49), (65) are inconsistent by
% 197.43/34.46  | | | | | | | | | |            sub-proof #1961.
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | |   (66)  all_56_1 = e0 & op(e3, e2) = e0
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | ALPHA: (66) implies:
% 197.43/34.46  | | | | | | | | | |   (67)  all_56_1 = e0
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | BETA: splitting (24) gives:
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | |   (68)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 197.43/34.46  | | | | | | | | | | |           & op(e1, e2) = e1)
% 197.43/34.46  | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | BETA: splitting (68) gives:
% 197.43/34.46  | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | |   (69)  all_56_6 = e1 & op(e1, e3) = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | ALPHA: (69) implies:
% 197.43/34.46  | | | | | | | | | | | |   (70)  all_56_6 = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | REF_CLOSE: (45), (62), (70) are inconsistent by sub-proof
% 197.43/34.46  | | | | | | | | | | | |            #1620.
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | |   (71)  all_56_7 = e1 & op(e1, e2) = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | ALPHA: (71) implies:
% 197.43/34.46  | | | | | | | | | | | |   (72)  all_56_7 = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | BETA: splitting (23) gives:
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | |   (73)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 197.43/34.46  | | | | | | | | | | | | |           & op(e3, e2) = e2)
% 197.43/34.46  | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | BETA: splitting (73) gives:
% 197.43/34.46  | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | |   (74)  all_56_0 = e2 & op(e3, e3) = e2
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | ALPHA: (74) implies:
% 197.43/34.46  | | | | | | | | | | | | | |   (75)  op(e3, e3) = e2
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (26), (75) are inconsistent by
% 197.43/34.46  | | | | | | | | | | | | | |            sub-proof #1957.
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | |   (76)  all_56_1 = e2 & op(e3, e2) = e2
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | ALPHA: (76) implies:
% 197.43/34.46  | | | | | | | | | | | | | |   (77)  all_56_1 = e2
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | COMBINE_EQS: (67), (77) imply:
% 197.43/34.46  | | | | | | | | | | | | | |   (78)  e2 = e0
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | SIMP: (78) implies:
% 197.43/34.46  | | | | | | | | | | | | | |   (79)  e2 = e0
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | COMBINE_EQS: (42), (79) imply:
% 197.43/34.46  | | | | | | | | | | | | | |   (80)  all_56_12 = e0
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | REF_CLOSE: (2), (8), (10), (11), (26), (34), (38), (45),
% 197.43/34.46  | | | | | | | | | | | | | |            (48), (62), (80) are inconsistent by sub-proof
% 197.43/34.46  | | | | | | | | | | | | | |            #1567.
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | |   (81)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 197.43/34.46  | | | | | | | | | | | | |           & op(e3, e0) = e2)
% 197.43/34.46  | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | BETA: splitting (81) gives:
% 197.43/34.46  | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | |   (82)  all_56_4 = e2 & op(e3, e1) = e2
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | ALPHA: (82) implies:
% 197.43/34.46  | | | | | | | | | | | | | |   (83)  all_56_4 = e2
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | |   (84)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 197.43/34.46  | | | | | | | | | | | | | | |           & op(e2, e2) = e3)
% 197.43/34.46  | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | |   (85)  all_56_1 = e3 & op(e3, e2) = e3
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | ALPHA: (85) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | |   (86)  all_56_1 = e3
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | REF_CLOSE: (11), (26), (32), (34), (48), (49), (59), (83),
% 197.43/34.46  | | | | | | | | | | | | | | | |            (86) are inconsistent by sub-proof #1874.
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | |   (87)  all_56_3 = e3 & op(e2, e2) = e3
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | ALPHA: (87) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | |   (88)  op(e2, e2) = e3
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (31), (88) are inconsistent by
% 197.43/34.46  | | | | | | | | | | | | | | | |            sub-proof #1975.
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | |   (89)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 197.43/34.46  | | | | | | | | | | | | | | |           e3 & op(e0, e2) = e3)
% 197.43/34.46  | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | |   (90)  all_56_7 = e3 & op(e1, e2) = e3
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | ALPHA: (90) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | |   (91)  all_56_7 = e3
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11),
% 197.43/34.46  | | | | | | | | | | | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19),
% 197.43/34.46  | | | | | | | | | | | | | | | |            (20), (22), (23), (24), (25), (26), (27), (28),
% 197.43/34.46  | | | | | | | | | | | | | | | |            (29), (30), (31), (33), (34), (36), (37), (38),
% 197.43/34.46  | | | | | | | | | | | | | | | |            (40), (41), (42), (43), (44), (45), (46), (47),
% 197.43/34.46  | | | | | | | | | | | | | | | |            (48), (49), (51), (56), (67), (91) are
% 197.43/34.46  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1558.
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | |   (92)  all_56_13 = e3 & op(e0, e2) = e3
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | ALPHA: (92) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | |   (93)  all_56_13 = e3
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | |   (94)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 197.43/34.46  | | | | | | | | | | | | | | | | |           & op(e2, e2) = e2)
% 197.43/34.46  | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (95)  all_56_1 = e2 & op(e3, e2) = e2
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | ALPHA: (95) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (96)  all_56_1 = e2
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (96) imply:
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (97)  e2 = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | SIMP: (97) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (98)  e2 = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (98) imply:
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (99)  all_56_4 = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (14), (15), (29), (34), (36), (38),
% 197.43/34.46  | | | | | | | | | | | | | | | | | |            (45), (48), (49), (99) are inconsistent by
% 197.43/34.46  | | | | | | | | | | | | | | | | | |            sub-proof #1809.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (100)  all_56_3 = e2 & op(e2, e2) = e2
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | ALPHA: (100) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (101)  op(e2, e2) = e2
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | |   (102)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |   (103)  all_56_0 = e0 & op(e3, e3) = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | ALPHA: (103) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |   (104)  op(e3, e3) = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (26), (49), (104) are inconsistent by
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |            sub-proof #1961.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |   (105)  all_56_2 = e0 & op(e2, e3) = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | ALPHA: (105) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |   (106)  all_56_2 = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | |   (107)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |   (108)  all_56_2 = e1 & op(e2, e3) = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (106), (108) are inconsistent by sub-proof
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |            #1557.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |   (109)  all_56_3 = e1 & op(e2, e2) = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (109) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |   (110)  op(e2, e2) = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (38), (101), (110) are inconsistent by
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1783.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | |   (111)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |   (112)  all_56_5 = e1 & op(e2, e1) = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (112) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |   (113)  all_56_5 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | |   (114)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |   (115)  all_56_0 = e1 & op(e3, e3) = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (115) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |   (116)  op(e3, e3) = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (26), (45), (116) are inconsistent by
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1966.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |   (117)  all_56_2 = e1 & op(e2, e3) = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (117) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |   (118)  all_56_2 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (11), (12), (14), (15), (29), (30),
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |            (31), (34), (36), (38), (39), (45), (48), (49),
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |            (113), (118) are inconsistent by sub-proof #1547.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | |   (119)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |   (120)  all_56_6 = e1 & op(e1, e3) = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |   (121)  all_56_6 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (16), (29), (45), (47), (49), (72),
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |            (121) are inconsistent by sub-proof #1617.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |   (122)  all_56_12 = e1 & op(e0, e3) = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (122) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |   (123)  all_56_12 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (8), (10), (11), (26), (34), (38), (45),
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (62), (123) are inconsistent by
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1542.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |   (124)  all_56_10 = e1 & op(e2, e0) = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (124) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |   (125)  all_56_10 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (125) imply:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |   (126)  e3 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | SIMP: (126) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |   (127)  e3 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (127) imply:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |   (128)  all_56_6 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (16), (29), (45), (47), (49), (72),
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | |            (128) are inconsistent by sub-proof #1617.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | |   (129)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 197.43/34.46  | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |   (130)  all_56_6 = e0 & op(e1, e3) = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | ALPHA: (130) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |   (131)  all_56_6 = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (29), (38), (45), (46), (47), (48),
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |            (49), (72), (131) are inconsistent by sub-proof
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |            #1579.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |   (132)  all_56_12 = e0 & op(e0, e3) = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | ALPHA: (132) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |   (133)  all_56_12 = e0
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (8), (10), (11), (26), (34), (38), (45),
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |            (48), (62), (133) are inconsistent by sub-proof
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | |            #1567.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | |   (134)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 197.43/34.46  | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 197.43/34.46  | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 197.43/34.46  | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (135)  all_56_7 = e2 & op(e1, e2) = e2
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (136)  all_56_7 = e2
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (136) imply:
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (137)  e2 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (137) imply:
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (138)  all_56_12 = e1
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (8), (10), (11), (26), (34), (38), (45),
% 197.43/34.46  | | | | | | | | | | | | | | | | | |            (48), (49), (62), (138) are inconsistent by
% 197.43/34.46  | | | | | | | | | | | | | | | | | |            sub-proof #1542.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (139)  all_56_13 = e2 & op(e0, e2) = e2
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 197.43/34.46  | | | | | | | | | | | | | | | | | |   (140)  all_56_13 = e2
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (93), (140) are inconsistent by sub-proof
% 197.43/34.46  | | | | | | | | | | | | | | | | | |            #1541.
% 197.43/34.46  | | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | |   (141)  all_56_9 = e2 & op(e3, e0) = e2
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | ALPHA: (141) implies:
% 197.43/34.46  | | | | | | | | | | | | | |   (142)  all_56_9 = e2
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11),
% 197.43/34.46  | | | | | | | | | | | | | |            (12), (13), (14), (15), (18), (20), (22), (24),
% 197.43/34.46  | | | | | | | | | | | | | |            (25), (26), (27), (28), (29), (30), (31), (34),
% 197.43/34.46  | | | | | | | | | | | | | |            (36), (37), (38), (40), (41), (42), (44), (45),
% 197.43/34.46  | | | | | | | | | | | | | |            (46), (47), (48), (49), (67), (142) are
% 197.43/34.46  | | | | | | | | | | | | | |            inconsistent by sub-proof #1573.
% 197.43/34.46  | | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | |   (143)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 197.43/34.46  | | | | | | | | | | |            e1 & op(e1, e0) = e1)
% 197.43/34.46  | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | BETA: splitting (143) gives:
% 197.43/34.46  | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | |   (144)  all_56_8 = e1 & op(e1, e1) = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | ALPHA: (144) implies:
% 197.43/34.46  | | | | | | | | | | | |   (145)  op(e1, e1) = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | REF_CLOSE: (11), (29), (34), (145) are inconsistent by
% 197.43/34.46  | | | | | | | | | | | |            sub-proof #1959.
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | |   (146)  all_56_11 = e1 & op(e1, e0) = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | ALPHA: (146) implies:
% 197.43/34.46  | | | | | | | | | | | |   (147)  all_56_11 = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | COMBINE_EQS: (16), (147) imply:
% 197.43/34.46  | | | | | | | | | | | |   (148)  e2 = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | SIMP: (148) implies:
% 197.43/34.46  | | | | | | | | | | | |   (149)  e2 = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | COMBINE_EQS: (42), (149) imply:
% 197.43/34.46  | | | | | | | | | | | |   (150)  all_56_12 = e1
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | | REF_CLOSE: (2), (7), (8), (10), (11), (26), (34), (38), (45),
% 197.43/34.46  | | | | | | | | | | | |            (48), (49), (62), (150) are inconsistent by
% 197.43/34.46  | | | | | | | | | | | |            sub-proof #1542.
% 197.43/34.46  | | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | | 
% 197.43/34.46  | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | 
% 197.43/34.46  | | | | | | | | |   (151)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 &
% 197.43/34.46  | | | | | | | | |            op(e3, e0) = e0)
% 197.43/34.46  | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | REF_CLOSE: (10), (11), (14), (15), (29), (34), (36), (38),
% 197.43/34.46  | | | | | | | | |            (45), (48), (49), (59), (151) are inconsistent by
% 197.43/34.46  | | | | | | | | |            sub-proof #1540.
% 197.43/34.46  | | | | | | | | | 
% 197.43/34.46  | | | | | | | | End of split
% 197.43/34.46  | | | | | | | | 
% 197.43/34.46  | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | 
% 197.43/34.46  | | | | | | | |   (152)  all_56_7 = e3 & op(e1, e2) = e3
% 197.43/34.46  | | | | | | | | 
% 197.43/34.46  | | | | | | | | ALPHA: (152) implies:
% 197.43/34.46  | | | | | | | |   (153)  all_56_7 = e3
% 197.43/34.46  | | | | | | | | 
% 197.43/34.46  | | | | | | | | BETA: splitting (32) gives:
% 197.43/34.46  | | | | | | | | 
% 197.43/34.46  | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | 
% 197.43/34.46  | | | | | | | | |   (154)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 &
% 197.43/34.46  | | | | | | | | |            op(e3, e2) = e0)
% 197.43/34.46  | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | BETA: splitting (154) gives:
% 197.43/34.46  | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | Case 1:
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | |   (155)  all_56_0 = e0 & op(e3, e3) = e0
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | ALPHA: (155) implies:
% 197.43/34.46  | | | | | | | | | |   (156)  op(e3, e3) = e0
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | REF_CLOSE: (11), (26), (49), (156) are inconsistent by
% 197.43/34.46  | | | | | | | | | |            sub-proof #1961.
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | Case 2:
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | |   (157)  all_56_1 = e0 & op(e3, e2) = e0
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.46  | | | | | | | | | | ALPHA: (157) implies:
% 197.43/34.46  | | | | | | | | | |   (158)  all_56_1 = e0
% 197.43/34.46  | | | | | | | | | | 
% 197.43/34.47  | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11),
% 197.43/34.47  | | | | | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19),
% 197.43/34.47  | | | | | | | | | |            (20), (22), (23), (24), (25), (26), (27), (28),
% 197.43/34.47  | | | | | | | | | |            (29), (30), (31), (33), (34), (36), (37), (38),
% 197.43/34.47  | | | | | | | | | |            (40), (41), (42), (43), (44), (45), (46), (47),
% 197.43/34.47  | | | | | | | | | |            (48), (49), (51), (56), (153), (158) are
% 197.43/34.47  | | | | | | | | | |            inconsistent by sub-proof #1558.
% 197.43/34.47  | | | | | | | | | | 
% 197.43/34.47  | | | | | | | | | End of split
% 197.43/34.47  | | | | | | | | | 
% 197.43/34.47  | | | | | | | | Case 2:
% 197.43/34.47  | | | | | | | | | 
% 197.43/34.47  | | | | | | | | |   (159)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 &
% 197.43/34.47  | | | | | | | | |            op(e3, e0) = e0)
% 197.43/34.47  | | | | | | | | | 
% 197.43/34.47  | | | | | | | | | REF_CLOSE: (10), (11), (14), (15), (29), (34), (36), (38),
% 197.43/34.47  | | | | | | | | |            (45), (48), (49), (59), (159) are inconsistent by
% 197.43/34.47  | | | | | | | | |            sub-proof #1540.
% 197.43/34.47  | | | | | | | | | 
% 197.43/34.47  | | | | | | | | End of split
% 197.43/34.47  | | | | | | | | 
% 197.43/34.47  | | | | | | | End of split
% 197.43/34.47  | | | | | | | 
% 197.43/34.47  | | | | | | Case 2:
% 197.43/34.47  | | | | | | | 
% 197.43/34.47  | | | | | | |   (160)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 &
% 197.43/34.47  | | | | | | |            op(e1, e0) = e3)
% 197.43/34.47  | | | | | | | 
% 197.43/34.47  | | | | | | | REF_CLOSE: (10), (11), (16), (29), (49), (160) are inconsistent by
% 197.43/34.47  | | | | | | |            sub-proof #1618.
% 197.43/34.47  | | | | | | | 
% 197.43/34.47  | | | | | | End of split
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | Case 2:
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | |   (161)  all_56_10 = e1 & op(e2, e0) = e1
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | | REF_CLOSE: (45), (56), (161) are inconsistent by sub-proof #1539.
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | End of split
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | Case 2:
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | |   (162)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 197.43/34.47  | | | | |              e0) = e1)
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | BETA: splitting (162) gives:
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | Case 1:
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | |   (163)  all_56_11 = e1 & op(e1, e0) = e1
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | | REF_CLOSE: (16), (38), (163) are inconsistent by sub-proof #1538.
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | Case 2:
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | |   (164)  all_56_15 = e1 & op(e0, e0) = e1
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | | ALPHA: (164) implies:
% 197.43/34.47  | | | | | |   (165)  op(e0, e0) = e1
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | | REF_CLOSE: (11), (34), (51), (165) are inconsistent by sub-proof
% 197.43/34.47  | | | | | |            #1943.
% 197.43/34.47  | | | | | | 
% 197.43/34.47  | | | | | End of split
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | End of split
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | End of split
% 197.43/34.47  | | | 
% 197.43/34.47  | | Case 2:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (166)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0)
% 197.43/34.47  | | |            = e3)
% 197.43/34.47  | | | 
% 197.43/34.47  | | | BETA: splitting (166) gives:
% 197.43/34.47  | | | 
% 197.43/34.47  | | | Case 1:
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | |   (167)  all_56_11 = e3 & op(e1, e0) = e3
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | | ALPHA: (167) implies:
% 197.43/34.47  | | | |   (168)  all_56_11 = e3
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | | REF_CLOSE: (10), (16), (168) are inconsistent by sub-proof #1619.
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | Case 2:
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | |   (169)  all_56_15 = e3 & op(e0, e0) = e3
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | | ALPHA: (169) implies:
% 197.43/34.47  | | | |   (170)  op(e0, e0) = e3
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | | REF_CLOSE: (11), (49), (51), (170) are inconsistent by sub-proof #1947.
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | End of split
% 197.43/34.47  | | | 
% 197.43/34.47  | | End of split
% 197.43/34.47  | | 
% 197.43/34.47  | Case 2:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (171)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 197.43/34.47  | |              e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 197.43/34.47  | |              op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.43/34.47  | |            (all_56_14 = e0 & op(e0, e1) = e0))
% 197.43/34.47  | | 
% 197.43/34.47  | | ALPHA: (171) implies:
% 197.43/34.47  | |   (172)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.43/34.47  | |            e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.43/34.47  | | 
% 197.43/34.47  | | REF_CLOSE: (9), (10), (11), (12), (20), (22), (25), (26), (27), (28), (29),
% 197.43/34.47  | |            (31), (38), (40), (41), (42), (44), (45), (48), (49), (172) are
% 197.43/34.47  | |            inconsistent by sub-proof #1583.
% 197.43/34.47  | | 
% 197.43/34.47  | End of split
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1538 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  all_56_11 = e1 & op(e1, e0) = e1
% 197.43/34.47    (2)  all_56_11 = e2
% 197.43/34.47    (3)   ~ (e2 = e1)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | ALPHA: (1) implies:
% 197.43/34.47  |   (4)  all_56_11 = e1
% 197.43/34.47  | 
% 197.43/34.47  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.47  |   (5)  e2 = e1
% 197.43/34.47  | 
% 197.43/34.47  | REDUCE: (3), (5) imply:
% 197.43/34.47  |   (6)  $false
% 197.43/34.47  | 
% 197.43/34.47  | CLOSE: (6) is inconsistent.
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1539 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  all_56_10 = e1 & op(e2, e0) = e1
% 197.43/34.47    (2)  all_56_10 = e3
% 197.43/34.47    (3)   ~ (e3 = e1)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | ALPHA: (1) implies:
% 197.43/34.47  |   (4)  all_56_10 = e1
% 197.43/34.47  | 
% 197.43/34.47  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.47  |   (5)  e3 = e1
% 197.43/34.47  | 
% 197.43/34.47  | REDUCE: (3), (5) imply:
% 197.43/34.47  |   (6)  $false
% 197.43/34.47  | 
% 197.43/34.47  | CLOSE: (6) is inconsistent.
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1540 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)   ~ (e3 = e2)
% 197.43/34.47    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.47    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.43/34.47         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.43/34.47    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.43/34.47         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.43/34.47    (5)  all_56_9 = e1
% 197.43/34.47    (6)  op(e1, e1) = e0
% 197.43/34.47    (7)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.43/34.47    (8)   ~ (e1 = e0)
% 197.43/34.47    (9)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.43/34.47         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.43/34.47    (10)   ~ (e2 = e1)
% 197.43/34.47    (11)   ~ (e3 = e1)
% 197.43/34.47    (12)   ~ (e2 = e0)
% 197.43/34.47    (13)   ~ (e3 = e0)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | BETA: splitting (7) gives:
% 197.43/34.47  | 
% 197.43/34.47  | Case 1:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (14)  all_56_4 = e0 & op(e3, e1) = e0
% 197.43/34.47  | | 
% 197.43/34.47  | | ALPHA: (14) implies:
% 197.43/34.47  | |   (15)  all_56_4 = e0
% 197.43/34.47  | | 
% 197.43/34.47  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (11), (12), (13), (15)
% 197.43/34.47  | |            are inconsistent by sub-proof #1809.
% 197.43/34.47  | | 
% 197.43/34.47  | Case 2:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (16)  all_56_9 = e0 & op(e3, e0) = e0
% 197.43/34.47  | | 
% 197.43/34.47  | | REF_CLOSE: (5), (8), (16) are inconsistent by sub-proof #1875.
% 197.43/34.47  | | 
% 197.43/34.47  | End of split
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1541 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  all_56_13 = e3
% 197.43/34.47    (2)  all_56_13 = e2
% 197.43/34.47    (3)   ~ (e3 = e2)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | COMBINE_EQS: (1), (2) imply:
% 197.43/34.47  |   (4)  e3 = e2
% 197.43/34.47  | 
% 197.43/34.47  | SIMP: (4) implies:
% 197.43/34.47  |   (5)  e3 = e2
% 197.43/34.47  | 
% 197.43/34.47  | REDUCE: (3), (5) imply:
% 197.43/34.47  |   (6)  $false
% 197.43/34.47  | 
% 197.43/34.47  | CLOSE: (6) is inconsistent.
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1542 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.43/34.47         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.43/34.47    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.43/34.47         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.43/34.47    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.43/34.47         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.43/34.47    (4)   ~ (e3 = e2)
% 197.43/34.47    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.47    (6)  all_56_12 = e1
% 197.43/34.47    (7)  op(e3, e3) = e3
% 197.43/34.47    (8)   ~ (e1 = e0)
% 197.43/34.47    (9)  all_56_6 = e3
% 197.43/34.47    (10)   ~ (e2 = e1)
% 197.43/34.47    (11)   ~ (e3 = e1)
% 197.43/34.47    (12)   ~ (e2 = e0)
% 197.43/34.47    (13)   ~ (e3 = e0)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | BETA: splitting (1) gives:
% 197.43/34.47  | 
% 197.43/34.47  | Case 1:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 197.43/34.47  | |           e2)
% 197.43/34.47  | | 
% 197.43/34.47  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14)
% 197.43/34.47  | |            are inconsistent by sub-proof #1544.
% 197.43/34.47  | | 
% 197.43/34.47  | Case 2:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 197.43/34.47  | |           e2)
% 197.43/34.47  | | 
% 197.43/34.47  | | BETA: splitting (15) gives:
% 197.43/34.47  | | 
% 197.43/34.47  | | Case 1:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (16)  all_56_6 = e2 & op(e1, e3) = e2
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (4), (9), (16) are inconsistent by sub-proof #1853.
% 197.43/34.47  | | | 
% 197.43/34.47  | | Case 2:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (17)  all_56_12 = e2 & op(e0, e3) = e2
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (6), (10), (17) are inconsistent by sub-proof #1543.
% 197.43/34.47  | | | 
% 197.43/34.47  | | End of split
% 197.43/34.47  | | 
% 197.43/34.47  | End of split
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1543 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  all_56_12 = e2 & op(e0, e3) = e2
% 197.43/34.47    (2)  all_56_12 = e1
% 197.43/34.47    (3)   ~ (e2 = e1)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | ALPHA: (1) implies:
% 197.43/34.47  |   (4)  all_56_12 = e2
% 197.43/34.47  | 
% 197.43/34.47  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.47  |   (5)  e2 = e1
% 197.43/34.47  | 
% 197.43/34.47  | REDUCE: (3), (5) imply:
% 197.43/34.47  |   (6)  $false
% 197.43/34.47  | 
% 197.43/34.47  | CLOSE: (6) is inconsistent.
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1544 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.43/34.47         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.43/34.47    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.43/34.47         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.43/34.47    (3)   ~ (e3 = e2)
% 197.43/34.47    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.47    (5)  op(e3, e3) = e3
% 197.43/34.47    (6)   ~ (e1 = e0)
% 197.43/34.47    (7)  all_56_6 = e3
% 197.43/34.47    (8)   ~ (e2 = e1)
% 197.43/34.47    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 197.43/34.47    (10)   ~ (e3 = e1)
% 197.43/34.47    (11)   ~ (e2 = e0)
% 197.43/34.47    (12)   ~ (e3 = e0)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | BETA: splitting (9) gives:
% 197.43/34.47  | 
% 197.43/34.47  | Case 1:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (13)  all_56_0 = e2 & op(e3, e3) = e2
% 197.43/34.47  | | 
% 197.43/34.47  | | ALPHA: (13) implies:
% 197.43/34.47  | |   (14)  op(e3, e3) = e2
% 197.43/34.47  | | 
% 197.43/34.47  | | REF_CLOSE: (3), (4), (5), (14) are inconsistent by sub-proof #1957.
% 197.43/34.47  | | 
% 197.43/34.47  | Case 2:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (15)  all_56_2 = e2 & op(e2, e3) = e2
% 197.43/34.47  | | 
% 197.43/34.47  | | ALPHA: (15) implies:
% 197.43/34.47  | |   (16)  all_56_2 = e2
% 197.43/34.47  | | 
% 197.43/34.47  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (10), (11), (12), (16) are
% 197.43/34.47  | |            inconsistent by sub-proof #1545.
% 197.43/34.47  | | 
% 197.43/34.47  | End of split
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1545 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.43/34.47         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.43/34.47    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.43/34.47         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.43/34.47    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.47    (4)  op(e3, e3) = e3
% 197.43/34.47    (5)   ~ (e1 = e0)
% 197.43/34.47    (6)  all_56_6 = e3
% 197.43/34.47    (7)   ~ (e2 = e1)
% 197.43/34.47    (8)  all_56_2 = e2
% 197.43/34.47    (9)   ~ (e3 = e1)
% 197.43/34.47    (10)   ~ (e2 = e0)
% 197.43/34.47    (11)   ~ (e3 = e0)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | BETA: splitting (1) gives:
% 197.43/34.47  | 
% 197.43/34.47  | Case 1:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 197.43/34.47  | |           e0)
% 197.43/34.47  | | 
% 197.43/34.47  | | BETA: splitting (12) gives:
% 197.43/34.47  | | 
% 197.43/34.47  | | Case 1:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (13)  all_56_0 = e0 & op(e3, e3) = e0
% 197.43/34.47  | | | 
% 197.43/34.47  | | | ALPHA: (13) implies:
% 197.43/34.47  | | |   (14)  op(e3, e3) = e0
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (3), (4), (11), (14) are inconsistent by sub-proof #1961.
% 197.43/34.47  | | | 
% 197.43/34.47  | | Case 2:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (15)  all_56_2 = e0 & op(e2, e3) = e0
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (8), (10), (15) are inconsistent by sub-proof #1546.
% 197.43/34.47  | | | 
% 197.43/34.47  | | End of split
% 197.43/34.47  | | 
% 197.43/34.47  | Case 2:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 197.43/34.47  | |           e0)
% 197.43/34.47  | | 
% 197.43/34.47  | | BETA: splitting (16) gives:
% 197.43/34.47  | | 
% 197.43/34.47  | | Case 1:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (17)  all_56_6 = e0 & op(e1, e3) = e0
% 197.43/34.47  | | | 
% 197.43/34.47  | | | ALPHA: (17) implies:
% 197.43/34.47  | | |   (18)  all_56_6 = e0
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (6), (11), (18) are inconsistent by sub-proof #1581.
% 197.43/34.47  | | | 
% 197.43/34.47  | | Case 2:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (19)  all_56_12 = e0 & op(e0, e3) = e0
% 197.43/34.47  | | | 
% 197.43/34.47  | | | ALPHA: (19) implies:
% 197.43/34.47  | | |   (20)  all_56_12 = e0
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (20) are inconsistent
% 197.43/34.47  | | |            by sub-proof #1568.
% 197.43/34.47  | | | 
% 197.43/34.47  | | End of split
% 197.43/34.47  | | 
% 197.43/34.47  | End of split
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1546 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  all_56_2 = e0 & op(e2, e3) = e0
% 197.43/34.47    (2)  all_56_2 = e2
% 197.43/34.47    (3)   ~ (e2 = e0)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | ALPHA: (1) implies:
% 197.43/34.47  |   (4)  all_56_2 = e0
% 197.43/34.47  | 
% 197.43/34.47  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.47  |   (5)  e2 = e0
% 197.43/34.47  | 
% 197.43/34.47  | REDUCE: (3), (5) imply:
% 197.43/34.47  |   (6)  $false
% 197.43/34.47  | 
% 197.43/34.47  | CLOSE: (6) is inconsistent.
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1547 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.43/34.47         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 197.43/34.47    (2)   ~ (e3 = e2)
% 197.43/34.47    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.47    (4)  op(e2, e2) = all_4_2
% 197.43/34.47    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.43/34.47         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.43/34.47    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.43/34.47         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.43/34.47    (7)  op(e1, e1) = e0
% 197.43/34.47    (8)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.43/34.47         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.43/34.47    (9)   ~ (all_4_2 = e3)
% 197.43/34.47    (10)  all_56_5 = e1
% 197.43/34.47    (11)   ~ (e1 = e0)
% 197.43/34.47    (12)  all_56_2 = e1
% 197.43/34.47    (13)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.43/34.47          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.43/34.47    (14)   ~ (e2 = e1)
% 197.43/34.47    (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.43/34.47          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.43/34.47    (16)   ~ (e3 = e1)
% 197.43/34.47    (17)   ~ (e2 = e0)
% 197.43/34.47    (18)   ~ (e3 = e0)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | BETA: splitting (8) gives:
% 197.43/34.47  | 
% 197.43/34.47  | Case 1:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (19)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.43/34.47  | |           e3)
% 197.43/34.47  | | 
% 197.43/34.47  | | REF_CLOSE: (3), (4), (9), (12), (16), (19) are inconsistent by sub-proof
% 197.43/34.47  | |            #1556.
% 197.43/34.47  | | 
% 197.43/34.47  | Case 2:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (20)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 197.43/34.47  | |           e3)
% 197.43/34.47  | | 
% 197.43/34.47  | | BETA: splitting (20) gives:
% 197.43/34.47  | | 
% 197.43/34.47  | | Case 1:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (21)  all_56_5 = e3 & op(e2, e1) = e3
% 197.43/34.47  | | | 
% 197.43/34.47  | | | ALPHA: (21) implies:
% 197.43/34.47  | | |   (22)  all_56_5 = e3
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (10), (16), (22) are inconsistent by sub-proof #1825.
% 197.43/34.47  | | | 
% 197.43/34.47  | | Case 2:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (23)  all_56_10 = e3 & op(e2, e0) = e3
% 197.43/34.47  | | | 
% 197.43/34.47  | | | ALPHA: (23) implies:
% 197.43/34.47  | | |   (24)  all_56_10 = e3
% 197.43/34.47  | | | 
% 197.43/34.47  | | | BETA: splitting (1) gives:
% 197.43/34.47  | | | 
% 197.43/34.47  | | | Case 1:
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | |   (25)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2)
% 197.43/34.47  | | | |           = e0)
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | | BETA: splitting (25) gives:
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | | Case 1:
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | |   (26)  all_56_2 = e0 & op(e2, e3) = e0
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | ALPHA: (26) implies:
% 197.43/34.47  | | | | |   (27)  all_56_2 = e0
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | COMBINE_EQS: (12), (27) imply:
% 197.43/34.47  | | | | |   (28)  e1 = e0
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | COMBINE_EQS: (10), (28) imply:
% 197.43/34.47  | | | | |   (29)  all_56_5 = e0
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (11), (13), (14), (16), (17),
% 197.43/34.47  | | | | |            (18), (29) are inconsistent by sub-proof #1551.
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | Case 2:
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | |   (30)  all_56_3 = e0 & op(e2, e2) = e0
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | ALPHA: (30) implies:
% 197.43/34.47  | | | | |   (31)  op(e2, e2) = e0
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | REF_CLOSE: (2), (3), (10), (12), (14), (15), (17), (24), (31) are
% 197.43/34.47  | | | | |            inconsistent by sub-proof #1549.
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | End of split
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | Case 2:
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | |   (32)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0)
% 197.43/34.47  | | | |           = e0)
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | | BETA: splitting (32) gives:
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | | Case 1:
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | |   (33)  all_56_5 = e0 & op(e2, e1) = e0
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | ALPHA: (33) implies:
% 197.43/34.47  | | | | |   (34)  all_56_5 = e0
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (11), (13), (14), (16), (17),
% 197.43/34.47  | | | | |            (18), (34) are inconsistent by sub-proof #1551.
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | Case 2:
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | |   (35)  all_56_10 = e0 & op(e2, e0) = e0
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | | REF_CLOSE: (18), (24), (35) are inconsistent by sub-proof #1548.
% 197.43/34.47  | | | | | 
% 197.43/34.47  | | | | End of split
% 197.43/34.47  | | | | 
% 197.43/34.47  | | | End of split
% 197.43/34.47  | | | 
% 197.43/34.47  | | End of split
% 197.43/34.47  | | 
% 197.43/34.47  | End of split
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1548 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  all_56_10 = e0 & op(e2, e0) = e0
% 197.43/34.47    (2)  all_56_10 = e3
% 197.43/34.47    (3)   ~ (e3 = e0)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | ALPHA: (1) implies:
% 197.43/34.47  |   (4)  all_56_10 = e0
% 197.43/34.47  | 
% 197.43/34.47  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.47  |   (5)  e3 = e0
% 197.43/34.47  | 
% 197.43/34.47  | REDUCE: (3), (5) imply:
% 197.43/34.47  |   (6)  $false
% 197.43/34.47  | 
% 197.43/34.47  | CLOSE: (6) is inconsistent.
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1549 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)   ~ (e3 = e2)
% 197.43/34.47    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.47    (3)  all_56_10 = e3
% 197.43/34.47    (4)  all_56_5 = e1
% 197.43/34.47    (5)  all_56_2 = e1
% 197.43/34.47    (6)   ~ (e2 = e1)
% 197.43/34.47    (7)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.43/34.47         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.43/34.47    (8)  op(e2, e2) = e0
% 197.43/34.47    (9)   ~ (e2 = e0)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | BETA: splitting (7) gives:
% 197.43/34.47  | 
% 197.43/34.47  | Case 1:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.43/34.47  | |           e2)
% 197.43/34.47  | | 
% 197.43/34.47  | | BETA: splitting (10) gives:
% 197.43/34.47  | | 
% 197.43/34.47  | | Case 1:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (11)  all_56_2 = e2 & op(e2, e3) = e2
% 197.43/34.47  | | | 
% 197.43/34.47  | | | ALPHA: (11) implies:
% 197.43/34.47  | | |   (12)  all_56_2 = e2
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (5), (6), (12) are inconsistent by sub-proof #1855.
% 197.43/34.47  | | | 
% 197.43/34.47  | | Case 2:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (13)  all_56_3 = e2 & op(e2, e2) = e2
% 197.43/34.47  | | | 
% 197.43/34.47  | | | ALPHA: (13) implies:
% 197.43/34.47  | | |   (14)  op(e2, e2) = e2
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (2), (8), (9), (14) are inconsistent by sub-proof #1939.
% 197.43/34.47  | | | 
% 197.43/34.47  | | End of split
% 197.43/34.47  | | 
% 197.43/34.47  | Case 2:
% 197.43/34.47  | | 
% 197.43/34.47  | |   (15)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 197.43/34.47  | |           e2)
% 197.43/34.47  | | 
% 197.43/34.47  | | BETA: splitting (15) gives:
% 197.43/34.47  | | 
% 197.43/34.47  | | Case 1:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (16)  all_56_5 = e2 & op(e2, e1) = e2
% 197.43/34.47  | | | 
% 197.43/34.47  | | | ALPHA: (16) implies:
% 197.43/34.47  | | |   (17)  all_56_5 = e2
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (4), (6), (17) are inconsistent by sub-proof #1822.
% 197.43/34.47  | | | 
% 197.43/34.47  | | Case 2:
% 197.43/34.47  | | | 
% 197.43/34.47  | | |   (18)  all_56_10 = e2 & op(e2, e0) = e2
% 197.43/34.47  | | | 
% 197.43/34.47  | | | REF_CLOSE: (1), (3), (18) are inconsistent by sub-proof #1550.
% 197.43/34.47  | | | 
% 197.43/34.47  | | End of split
% 197.43/34.47  | | 
% 197.43/34.47  | End of split
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1550 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)  all_56_10 = e2 & op(e2, e0) = e2
% 197.43/34.47    (2)  all_56_10 = e3
% 197.43/34.47    (3)   ~ (e3 = e2)
% 197.43/34.47  
% 197.43/34.47  Begin of proof
% 197.43/34.47  | 
% 197.43/34.47  | ALPHA: (1) implies:
% 197.43/34.47  |   (4)  all_56_10 = e2
% 197.43/34.47  | 
% 197.43/34.47  | COMBINE_EQS: (2), (4) imply:
% 197.43/34.47  |   (5)  e3 = e2
% 197.43/34.47  | 
% 197.43/34.47  | REDUCE: (3), (5) imply:
% 197.43/34.47  |   (6)  $false
% 197.43/34.47  | 
% 197.43/34.47  | CLOSE: (6) is inconsistent.
% 197.43/34.47  | 
% 197.43/34.47  End of proof
% 197.43/34.47  
% 197.43/34.47  Sub-proof #1551 shows that the following formulas are inconsistent:
% 197.43/34.47  ----------------------------------------------------------------
% 197.43/34.47    (1)   ~ (e3 = e2)
% 197.43/34.47    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.47    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.43/34.47         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.43/34.47    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.43/34.47         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.43/34.47    (5)  op(e1, e1) = e0
% 197.43/34.47    (6)  all_56_5 = e0
% 197.43/34.47    (7)   ~ (e1 = e0)
% 197.43/34.48    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.43/34.48         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.43/34.48    (9)   ~ (e2 = e1)
% 197.43/34.48    (10)   ~ (e3 = e1)
% 197.43/34.48    (11)   ~ (e2 = e0)
% 197.43/34.48    (12)   ~ (e3 = e0)
% 197.43/34.48  
% 197.43/34.48  Begin of proof
% 197.43/34.48  | 
% 197.43/34.48  | BETA: splitting (4) gives:
% 197.43/34.48  | 
% 197.43/34.48  | Case 1:
% 197.43/34.48  | | 
% 197.43/34.48  | |   (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 197.43/34.48  | |           e1)
% 197.43/34.48  | | 
% 197.43/34.48  | | BETA: splitting (13) gives:
% 197.43/34.48  | | 
% 197.43/34.48  | | Case 1:
% 197.43/34.48  | | | 
% 197.43/34.48  | | |   (14)  all_56_4 = e1 & op(e3, e1) = e1
% 197.43/34.48  | | | 
% 197.43/34.48  | | | ALPHA: (14) implies:
% 197.43/34.48  | | |   (15)  all_56_4 = e1
% 197.43/34.48  | | | 
% 197.43/34.48  | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10), (11), (12), (15) are
% 197.43/34.48  | | |            inconsistent by sub-proof #1554.
% 197.43/34.48  | | | 
% 197.43/34.48  | | Case 2:
% 197.43/34.48  | | | 
% 197.43/34.48  | | |   (16)  all_56_5 = e1 & op(e2, e1) = e1
% 197.43/34.48  | | | 
% 197.43/34.48  | | | ALPHA: (16) implies:
% 197.43/34.48  | | |   (17)  all_56_5 = e1
% 197.43/34.48  | | | 
% 197.43/34.48  | | | REF_CLOSE: (6), (7), (17) are inconsistent by sub-proof #1842.
% 197.43/34.48  | | | 
% 197.43/34.48  | | End of split
% 197.43/34.48  | | 
% 197.43/34.48  | Case 2:
% 197.43/34.48  | | 
% 197.43/34.48  | |   (18)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 197.43/34.48  | |           e1)
% 197.43/34.48  | | 
% 197.43/34.48  | | BETA: splitting (18) gives:
% 197.43/34.48  | | 
% 197.43/34.48  | | Case 1:
% 197.43/34.48  | | | 
% 197.43/34.48  | | |   (19)  all_56_8 = e1 & op(e1, e1) = e1
% 197.43/34.48  | | | 
% 197.43/34.48  | | | ALPHA: (19) implies:
% 197.43/34.48  | | |   (20)  op(e1, e1) = e1
% 197.43/34.48  | | | 
% 197.43/34.48  | | | REF_CLOSE: (2), (5), (7), (20) are inconsistent by sub-proof #1959.
% 197.43/34.48  | | | 
% 197.43/34.48  | | Case 2:
% 197.43/34.48  | | | 
% 197.43/34.48  | | |   (21)  all_56_14 = e1 & op(e0, e1) = e1
% 197.43/34.48  | | | 
% 197.43/34.48  | | | ALPHA: (21) implies:
% 197.43/34.48  | | |   (22)  all_56_14 = e1
% 197.43/34.48  | | | 
% 197.43/34.48  | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10), (11), (12), (22) are
% 197.43/34.48  | | |            inconsistent by sub-proof #1552.
% 197.43/34.48  | | | 
% 197.43/34.48  | | End of split
% 197.43/34.48  | | 
% 197.43/34.48  | End of split
% 197.43/34.48  | 
% 197.43/34.48  End of proof
% 197.43/34.48  
% 197.43/34.48  Sub-proof #1552 shows that the following formulas are inconsistent:
% 197.43/34.48  ----------------------------------------------------------------
% 197.43/34.48    (1)   ~ (e3 = e2)
% 197.43/34.48    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.43/34.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.43/34.48    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.43/34.48         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.43/34.48    (4)  op(e1, e1) = e0
% 197.43/34.48    (5)  all_56_5 = e0
% 197.43/34.48    (6)  all_56_14 = e1
% 197.66/34.48    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.66/34.48         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.66/34.48    (8)   ~ (e2 = e1)
% 197.66/34.48    (9)   ~ (e3 = e1)
% 197.66/34.48    (10)   ~ (e2 = e0)
% 197.66/34.48    (11)   ~ (e3 = e0)
% 197.66/34.48  
% 197.66/34.48  Begin of proof
% 197.66/34.48  | 
% 197.66/34.48  | BETA: splitting (7) gives:
% 197.66/34.48  | 
% 197.66/34.48  | Case 1:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 197.66/34.48  | |           e3)
% 197.66/34.48  | | 
% 197.66/34.48  | | BETA: splitting (12) gives:
% 197.66/34.48  | | 
% 197.66/34.48  | | Case 1:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (13)  all_56_4 = e3 & op(e3, e1) = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | ALPHA: (13) implies:
% 197.66/34.48  | | |   (14)  all_56_4 = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (14) are inconsistent
% 197.66/34.48  | | |            by sub-proof #1553.
% 197.66/34.48  | | | 
% 197.66/34.48  | | Case 2:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | ALPHA: (15) implies:
% 197.66/34.48  | | |   (16)  all_56_5 = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | REF_CLOSE: (5), (11), (16) are inconsistent by sub-proof #1838.
% 197.66/34.48  | | | 
% 197.66/34.48  | | End of split
% 197.66/34.48  | | 
% 197.66/34.48  | Case 2:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (17)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 197.66/34.48  | |           e3)
% 197.66/34.48  | | 
% 197.66/34.48  | | REF_CLOSE: (2), (4), (6), (9), (11), (17) are inconsistent by sub-proof
% 197.66/34.48  | |            #1811.
% 197.66/34.48  | | 
% 197.66/34.48  | End of split
% 197.66/34.48  | 
% 197.66/34.48  End of proof
% 197.66/34.48  
% 197.66/34.48  Sub-proof #1553 shows that the following formulas are inconsistent:
% 197.66/34.48  ----------------------------------------------------------------
% 197.66/34.48    (1)   ~ (e3 = e2)
% 197.66/34.48    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.48    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.66/34.48         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.66/34.48    (4)  all_56_4 = e3
% 197.66/34.48    (5)  op(e1, e1) = e0
% 197.66/34.48    (6)  all_56_5 = e0
% 197.66/34.48    (7)  all_56_14 = e1
% 197.66/34.48    (8)   ~ (e2 = e1)
% 197.66/34.48    (9)   ~ (e2 = e0)
% 197.66/34.48  
% 197.66/34.48  Begin of proof
% 197.66/34.48  | 
% 197.66/34.48  | BETA: splitting (3) gives:
% 197.66/34.48  | 
% 197.66/34.48  | Case 1:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 197.66/34.48  | |           e2)
% 197.66/34.48  | | 
% 197.66/34.48  | | BETA: splitting (10) gives:
% 197.66/34.48  | | 
% 197.66/34.48  | | Case 1:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (11)  all_56_4 = e2 & op(e3, e1) = e2
% 197.66/34.48  | | | 
% 197.66/34.48  | | | REF_CLOSE: (1), (4), (11) are inconsistent by sub-proof #1920.
% 197.66/34.48  | | | 
% 197.66/34.48  | | Case 2:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (12)  all_56_5 = e2 & op(e2, e1) = e2
% 197.66/34.48  | | | 
% 197.66/34.48  | | | ALPHA: (12) implies:
% 197.66/34.48  | | |   (13)  all_56_5 = e2
% 197.66/34.48  | | | 
% 197.66/34.48  | | | REF_CLOSE: (6), (9), (13) are inconsistent by sub-proof #1860.
% 197.66/34.48  | | | 
% 197.66/34.48  | | End of split
% 197.66/34.48  | | 
% 197.66/34.48  | Case 2:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (14)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 197.66/34.48  | |           e2)
% 197.66/34.48  | | 
% 197.66/34.48  | | REF_CLOSE: (2), (5), (7), (8), (9), (14) are inconsistent by sub-proof
% 197.66/34.48  | |            #1814.
% 197.66/34.48  | | 
% 197.66/34.48  | End of split
% 197.66/34.48  | 
% 197.66/34.48  End of proof
% 197.66/34.48  
% 197.66/34.48  Sub-proof #1554 shows that the following formulas are inconsistent:
% 197.66/34.48  ----------------------------------------------------------------
% 197.66/34.48    (1)   ~ (e3 = e2)
% 197.66/34.48    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.48    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.66/34.48         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.66/34.48    (4)  all_56_4 = e1
% 197.66/34.48    (5)  op(e1, e1) = e0
% 197.66/34.48    (6)  all_56_5 = e0
% 197.66/34.48    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.66/34.48         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.66/34.48    (8)   ~ (e2 = e1)
% 197.66/34.48    (9)   ~ (e3 = e1)
% 197.66/34.48    (10)   ~ (e2 = e0)
% 197.66/34.48    (11)   ~ (e3 = e0)
% 197.66/34.48  
% 197.66/34.48  Begin of proof
% 197.66/34.48  | 
% 197.66/34.48  | BETA: splitting (7) gives:
% 197.66/34.48  | 
% 197.66/34.48  | Case 1:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 197.66/34.48  | |           e3)
% 197.66/34.48  | | 
% 197.66/34.48  | | BETA: splitting (12) gives:
% 197.66/34.48  | | 
% 197.66/34.48  | | Case 1:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (13)  all_56_4 = e3 & op(e3, e1) = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | ALPHA: (13) implies:
% 197.66/34.48  | | |   (14)  all_56_4 = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | COMBINE_EQS: (4), (14) imply:
% 197.66/34.48  | | |   (15)  e3 = e1
% 197.66/34.48  | | | 
% 197.66/34.48  | | | SIMP: (15) implies:
% 197.66/34.48  | | |   (16)  e3 = e1
% 197.66/34.48  | | | 
% 197.66/34.48  | | | REDUCE: (9), (16) imply:
% 197.66/34.48  | | |   (17)  $false
% 197.66/34.48  | | | 
% 197.66/34.48  | | | CLOSE: (17) is inconsistent.
% 197.66/34.48  | | | 
% 197.66/34.48  | | Case 2:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (18)  all_56_5 = e3 & op(e2, e1) = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | ALPHA: (18) implies:
% 197.66/34.48  | | |   (19)  all_56_5 = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | REF_CLOSE: (6), (11), (19) are inconsistent by sub-proof #1838.
% 197.66/34.48  | | | 
% 197.66/34.48  | | End of split
% 197.66/34.48  | | 
% 197.66/34.48  | Case 2:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (20)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 197.66/34.48  | |           e3)
% 197.66/34.48  | | 
% 197.66/34.48  | | BETA: splitting (20) gives:
% 197.66/34.48  | | 
% 197.66/34.48  | | Case 1:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (21)  all_56_8 = e3 & op(e1, e1) = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | ALPHA: (21) implies:
% 197.66/34.48  | | |   (22)  op(e1, e1) = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | REF_CLOSE: (2), (5), (11), (22) are inconsistent by sub-proof #1824.
% 197.66/34.48  | | | 
% 197.66/34.48  | | Case 2:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (23)  all_56_14 = e3 & op(e0, e1) = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | ALPHA: (23) implies:
% 197.66/34.48  | | |   (24)  all_56_14 = e3
% 197.66/34.48  | | | 
% 197.66/34.48  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (24) are inconsistent
% 197.66/34.48  | | |            by sub-proof #1555.
% 197.66/34.48  | | | 
% 197.66/34.48  | | End of split
% 197.66/34.48  | | 
% 197.66/34.48  | End of split
% 197.66/34.48  | 
% 197.66/34.48  End of proof
% 197.66/34.48  
% 197.66/34.48  Sub-proof #1555 shows that the following formulas are inconsistent:
% 197.66/34.48  ----------------------------------------------------------------
% 197.66/34.48    (1)   ~ (e3 = e2)
% 197.66/34.48    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.48    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.66/34.48         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.66/34.48    (4)  all_56_4 = e1
% 197.66/34.48    (5)  all_56_14 = e3
% 197.66/34.48    (6)  op(e1, e1) = e0
% 197.66/34.48    (7)  all_56_5 = e0
% 197.66/34.48    (8)   ~ (e2 = e1)
% 197.66/34.48    (9)   ~ (e2 = e0)
% 197.66/34.48  
% 197.66/34.48  Begin of proof
% 197.66/34.48  | 
% 197.66/34.48  | BETA: splitting (3) gives:
% 197.66/34.48  | 
% 197.66/34.48  | Case 1:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 197.66/34.48  | |           e2)
% 197.66/34.48  | | 
% 197.66/34.48  | | BETA: splitting (10) gives:
% 197.66/34.48  | | 
% 197.66/34.48  | | Case 1:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (11)  all_56_4 = e2 & op(e3, e1) = e2
% 197.66/34.48  | | | 
% 197.66/34.48  | | | ALPHA: (11) implies:
% 197.66/34.48  | | |   (12)  all_56_4 = e2
% 197.66/34.48  | | | 
% 197.66/34.48  | | | REF_CLOSE: (4), (8), (12) are inconsistent by sub-proof #1751.
% 197.66/34.48  | | | 
% 197.66/34.48  | | Case 2:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (13)  all_56_5 = e2 & op(e2, e1) = e2
% 197.66/34.48  | | | 
% 197.66/34.48  | | | ALPHA: (13) implies:
% 197.66/34.48  | | |   (14)  all_56_5 = e2
% 197.66/34.48  | | | 
% 197.66/34.48  | | | REF_CLOSE: (7), (9), (14) are inconsistent by sub-proof #1860.
% 197.66/34.48  | | | 
% 197.66/34.48  | | End of split
% 197.66/34.48  | | 
% 197.66/34.48  | Case 2:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (15)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 197.66/34.48  | |           e2)
% 197.66/34.48  | | 
% 197.66/34.48  | | REF_CLOSE: (1), (2), (5), (6), (9), (15) are inconsistent by sub-proof
% 197.66/34.48  | |            #1819.
% 197.66/34.48  | | 
% 197.66/34.48  | End of split
% 197.66/34.48  | 
% 197.66/34.48  End of proof
% 197.66/34.48  
% 197.66/34.48  Sub-proof #1556 shows that the following formulas are inconsistent:
% 197.66/34.48  ----------------------------------------------------------------
% 197.66/34.48    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 197.66/34.48    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.48    (3)  op(e2, e2) = all_4_2
% 197.66/34.48    (4)   ~ (all_4_2 = e3)
% 197.66/34.48    (5)  all_56_2 = e1
% 197.66/34.48    (6)   ~ (e3 = e1)
% 197.66/34.48  
% 197.66/34.48  Begin of proof
% 197.66/34.48  | 
% 197.66/34.48  | BETA: splitting (1) gives:
% 197.66/34.48  | 
% 197.66/34.48  | Case 1:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 197.66/34.48  | | 
% 197.66/34.48  | | ALPHA: (7) implies:
% 197.66/34.48  | |   (8)  all_56_2 = e3
% 197.66/34.48  | | 
% 197.66/34.48  | | REF_CLOSE: (5), (6), (8) are inconsistent by sub-proof #1859.
% 197.66/34.48  | | 
% 197.66/34.48  | Case 2:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 197.66/34.48  | | 
% 197.66/34.48  | | ALPHA: (9) implies:
% 197.66/34.48  | |   (10)  op(e2, e2) = e3
% 197.66/34.48  | | 
% 197.66/34.48  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1975.
% 197.66/34.48  | | 
% 197.66/34.48  | End of split
% 197.66/34.48  | 
% 197.66/34.48  End of proof
% 197.66/34.48  
% 197.66/34.48  Sub-proof #1557 shows that the following formulas are inconsistent:
% 197.66/34.48  ----------------------------------------------------------------
% 197.66/34.48    (1)  all_56_2 = e1 & op(e2, e3) = e1
% 197.66/34.48    (2)  all_56_2 = e0
% 197.66/34.48    (3)   ~ (e1 = e0)
% 197.66/34.48  
% 197.66/34.48  Begin of proof
% 197.66/34.48  | 
% 197.66/34.48  | ALPHA: (1) implies:
% 197.66/34.48  |   (4)  all_56_2 = e1
% 197.66/34.48  | 
% 197.66/34.48  | COMBINE_EQS: (2), (4) imply:
% 197.66/34.48  |   (5)  e1 = e0
% 197.66/34.48  | 
% 197.66/34.48  | REDUCE: (3), (5) imply:
% 197.66/34.48  |   (6)  $false
% 197.66/34.48  | 
% 197.66/34.48  | CLOSE: (6) is inconsistent.
% 197.66/34.48  | 
% 197.66/34.48  End of proof
% 197.66/34.48  
% 197.66/34.48  Sub-proof #1558 shows that the following formulas are inconsistent:
% 197.66/34.48  ----------------------------------------------------------------
% 197.66/34.48    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.66/34.48         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.66/34.48    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.66/34.48         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.66/34.48    (3)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.66/34.48         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.66/34.48    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.66/34.48         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.66/34.48    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.66/34.48         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.66/34.48    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.66/34.48         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.66/34.48    (7)   ~ (all_52_13 = e2)
% 197.66/34.48    (8)   ~ (e3 = e2)
% 197.66/34.48    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.48           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.48    (10)  op(e2, e2) = all_4_2
% 197.66/34.48    (11)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.66/34.48          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.66/34.48    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.66/34.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.66/34.48    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.66/34.48          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.66/34.48    (14)  all_56_11 = e2
% 197.66/34.48    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 197.66/34.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.66/34.48    (16)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.66/34.48          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.66/34.48            e1)
% 197.66/34.48    (17)   ~ (all_52_8 = e3)
% 197.66/34.48    (18)  op(e2, e0) = all_52_13
% 197.66/34.48    (19)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.66/34.48              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.66/34.48            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.66/34.48            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.66/34.48            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.66/34.48            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.66/34.48            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.66/34.48            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.66/34.48            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.66/34.48            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.66/34.48            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.66/34.48            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.66/34.48            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.66/34.48            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.66/34.48            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.66/34.48            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.66/34.48            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.66/34.48            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.66/34.48            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.66/34.48            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.66/34.48            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.66/34.48            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.66/34.48            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.66/34.48            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.66/34.48            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.66/34.48            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.66/34.48            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.66/34.48            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.66/34.48            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.66/34.48            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.66/34.48            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.66/34.48            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.66/34.48            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.66/34.48            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.66/34.48            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.66/34.48            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.66/34.48            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.66/34.48            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.66/34.48            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.66/34.48            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.66/34.48            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.66/34.48            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.66/34.48            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.66/34.48            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.66/34.48            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.66/34.48            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.66/34.48            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.66/34.48            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.66/34.48              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.66/34.48            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.66/34.48            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.66/34.48              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.66/34.48            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.66/34.48            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.66/34.48                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.66/34.48                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.66/34.48                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.66/34.48                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.66/34.48                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.66/34.48                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.66/34.48                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.66/34.48              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.66/34.48                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.66/34.48                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.66/34.48                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.66/34.48                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.66/34.48                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.66/34.48                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.66/34.48                $i(all_57_7))))
% 197.66/34.48    (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.66/34.48          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.66/34.48    (21)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.66/34.48          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.66/34.48    (22)  all_56_10 = e3
% 197.66/34.48    (23)  op(e0, e1) = all_52_11
% 197.66/34.48    (24)  op(e3, e3) = e3
% 197.66/34.48    (25)  all_56_1 = e0
% 197.66/34.48    (26)  all_56_7 = e3
% 197.66/34.48    (27)   ~ (all_52_12 = e3)
% 197.66/34.48    (28)   ~ (all_4_2 = e1)
% 197.66/34.48    (29)  op(e1, e1) = e0
% 197.66/34.48    (30)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.66/34.48          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.66/34.48    (31)   ~ (all_4_2 = e3)
% 197.66/34.48    (32)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.66/34.48          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.66/34.48    (33)   ~ (e1 = e0)
% 197.66/34.48    (34)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.66/34.48          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.66/34.48    (35)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.66/34.48              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.66/34.48                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.66/34.48                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.66/34.48    (36)   ~ (e2 = e1)
% 197.66/34.48    (37)   ~ (all_52_11 = e0)
% 197.66/34.48    (38)  op(e3, e0) = all_52_12
% 197.66/34.48    (39)  all_56_12 = e2
% 197.66/34.48    (40)  op(e0, e0) = e0
% 197.66/34.48    (41)  op(e3, e1) = all_52_8
% 197.66/34.48    (42)  op(e0, e0) = e2
% 197.66/34.48    (43)   ~ (e3 = e1)
% 197.66/34.48    (44)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.66/34.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.66/34.48    (45)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.66/34.48          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.66/34.48    (46)   ~ (e2 = e0)
% 197.66/34.48    (47)   ~ (e3 = e0)
% 197.66/34.48  
% 197.66/34.48  Begin of proof
% 197.66/34.48  | 
% 197.66/34.48  | BETA: splitting (21) gives:
% 197.66/34.48  | 
% 197.66/34.48  | Case 1:
% 197.66/34.48  | | 
% 197.66/34.48  | |   (48)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 197.66/34.48  | |           e1)
% 197.66/34.48  | | 
% 197.66/34.48  | | BETA: splitting (48) gives:
% 197.66/34.48  | | 
% 197.66/34.48  | | Case 1:
% 197.66/34.48  | | | 
% 197.66/34.48  | | |   (49)  all_56_6 = e1 & op(e1, e3) = e1
% 197.66/34.48  | | | 
% 197.66/34.48  | | | ALPHA: (49) implies:
% 197.66/34.48  | | |   (50)  all_56_6 = e1
% 197.66/34.48  | | | 
% 197.66/34.48  | | | BETA: splitting (20) gives:
% 197.66/34.48  | | | 
% 197.66/34.48  | | | Case 1:
% 197.66/34.48  | | | | 
% 197.66/34.49  | | | |   (51)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2)
% 197.66/34.49  | | | |           = e2)
% 197.66/34.49  | | | | 
% 197.66/34.49  | | | | REF_CLOSE: (8), (9), (24), (25), (46), (51) are inconsistent by
% 197.66/34.49  | | | |            sub-proof #1566.
% 197.66/34.49  | | | | 
% 197.66/34.49  | | | Case 2:
% 197.66/34.49  | | | | 
% 197.66/34.49  | | | |   (52)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0)
% 197.66/34.49  | | | |           = e2)
% 197.66/34.49  | | | | 
% 197.66/34.49  | | | | BETA: splitting (52) gives:
% 197.66/34.49  | | | | 
% 197.66/34.49  | | | | Case 1:
% 197.66/34.49  | | | | | 
% 197.66/34.49  | | | | |   (53)  all_56_4 = e2 & op(e3, e1) = e2
% 197.66/34.49  | | | | | 
% 197.66/34.49  | | | | | ALPHA: (53) implies:
% 197.66/34.49  | | | | |   (54)  all_56_4 = e2
% 197.66/34.49  | | | | | 
% 197.66/34.49  | | | | | BETA: splitting (5) gives:
% 197.66/34.49  | | | | | 
% 197.66/34.49  | | | | | Case 1:
% 197.66/34.49  | | | | | | 
% 197.66/34.49  | | | | | |   (55)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2,
% 197.66/34.49  | | | | | |             e3) = e0)
% 197.66/34.49  | | | | | | 
% 197.66/34.49  | | | | | | BETA: splitting (55) gives:
% 197.66/34.49  | | | | | | 
% 197.66/34.49  | | | | | | Case 1:
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | |   (56)  all_56_0 = e0 & op(e3, e3) = e0
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | | ALPHA: (56) implies:
% 197.66/34.49  | | | | | | |   (57)  op(e3, e3) = e0
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | | REF_CLOSE: (9), (24), (47), (57) are inconsistent by sub-proof
% 197.66/34.49  | | | | | | |            #1961.
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | Case 2:
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | |   (58)  all_56_2 = e0 & op(e2, e3) = e0
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | | ALPHA: (58) implies:
% 197.66/34.49  | | | | | | |   (59)  all_56_2 = e0
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | | BETA: splitting (32) gives:
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | | Case 1:
% 197.66/34.49  | | | | | | | | 
% 197.66/34.49  | | | | | | | |   (60)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 197.66/34.49  | | | | | | | |           op(e2, e2) = e1)
% 197.66/34.49  | | | | | | | | 
% 197.66/34.49  | | | | | | | | BETA: splitting (60) gives:
% 197.66/34.49  | | | | | | | | 
% 197.66/34.49  | | | | | | | | Case 1:
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | |   (61)  all_56_2 = e1 & op(e2, e3) = e1
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | ALPHA: (61) implies:
% 197.66/34.49  | | | | | | | | |   (62)  all_56_2 = e1
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | COMBINE_EQS: (59), (62) imply:
% 197.66/34.49  | | | | | | | | |   (63)  e1 = e0
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | COMBINE_EQS: (50), (63) imply:
% 197.66/34.49  | | | | | | | | |   (64)  all_56_6 = e0
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | REF_CLOSE: (8), (9), (14), (21), (26), (29), (33), (36), (43),
% 197.66/34.49  | | | | | | | | |            (44), (45), (46), (47), (64) are inconsistent by
% 197.66/34.49  | | | | | | | | |            sub-proof #1564.
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | Case 2:
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | |   (65)  all_56_3 = e1 & op(e2, e2) = e1
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | ALPHA: (65) implies:
% 197.66/34.49  | | | | | | | | |   (66)  op(e2, e2) = e1
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | REF_CLOSE: (9), (10), (28), (66) are inconsistent by sub-proof
% 197.66/34.49  | | | | | | | | |            #1969.
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | End of split
% 197.66/34.49  | | | | | | | | 
% 197.66/34.49  | | | | | | | Case 2:
% 197.66/34.49  | | | | | | | | 
% 197.66/34.49  | | | | | | | |   (67)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 &
% 197.66/34.49  | | | | | | | |           op(e2, e0) = e1)
% 197.66/34.49  | | | | | | | | 
% 197.66/34.49  | | | | | | | | BETA: splitting (67) gives:
% 197.66/34.49  | | | | | | | | 
% 197.66/34.49  | | | | | | | | Case 1:
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | |   (68)  all_56_5 = e1 & op(e2, e1) = e1
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | ALPHA: (68) implies:
% 197.66/34.49  | | | | | | | | |   (69)  all_56_5 = e1
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | BETA: splitting (34) gives:
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | Case 1:
% 197.66/34.49  | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | |   (70)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 197.66/34.49  | | | | | | | | | |           op(e2, e1) = e3)
% 197.66/34.49  | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | BETA: splitting (70) gives:
% 197.66/34.49  | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | Case 1:
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | |   (71)  all_56_4 = e3 & op(e3, e1) = e3
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | ALPHA: (71) implies:
% 197.66/34.49  | | | | | | | | | | |   (72)  op(e3, e1) = e3
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | REF_CLOSE: (9), (17), (41), (72) are inconsistent by
% 197.66/34.49  | | | | | | | | | | |            sub-proof #1759.
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | Case 2:
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | |   (73)  all_56_5 = e3 & op(e2, e1) = e3
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | ALPHA: (73) implies:
% 197.66/34.49  | | | | | | | | | | |   (74)  all_56_5 = e3
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | COMBINE_EQS: (69), (74) imply:
% 197.66/34.49  | | | | | | | | | | |   (75)  e3 = e1
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | COMBINE_EQS: (26), (75) imply:
% 197.66/34.49  | | | | | | | | | | |   (76)  all_56_7 = e1
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | REF_CLOSE: (8), (9), (14), (15), (33), (43), (45), (46),
% 197.66/34.49  | | | | | | | | | | |            (47), (50), (76) are inconsistent by sub-proof
% 197.66/34.49  | | | | | | | | | | |            #1562.
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | End of split
% 197.66/34.49  | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | Case 2:
% 197.66/34.49  | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | |   (77)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3
% 197.66/34.49  | | | | | | | | | |           & op(e0, e1) = e3)
% 197.66/34.49  | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | BETA: splitting (77) gives:
% 197.66/34.49  | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | Case 1:
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | |   (78)  all_56_8 = e3 & op(e1, e1) = e3
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | ALPHA: (78) implies:
% 197.66/34.49  | | | | | | | | | | |   (79)  op(e1, e1) = e3
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | REF_CLOSE: (8), (9), (15), (26), (33), (36), (44), (46),
% 197.66/34.49  | | | | | | | | | | |            (47), (50), (79) are inconsistent by sub-proof
% 197.66/34.49  | | | | | | | | | | |            #1772.
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | Case 2:
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | |   (80)  all_56_14 = e3 & op(e0, e1) = e3
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | ALPHA: (80) implies:
% 197.66/34.49  | | | | | | | | | | |   (81)  all_56_14 = e3
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | BETA: splitting (16) gives:
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | Case 1:
% 197.66/34.49  | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | |   (82)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 197.66/34.49  | | | | | | | | | | | |           e1 & op(e0, e2) = e1)
% 197.66/34.49  | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | BETA: splitting (82) gives:
% 197.66/34.49  | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | Case 1:
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | |   (83)  all_56_12 = e1 & op(e0, e3) = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | ALPHA: (83) implies:
% 197.66/34.49  | | | | | | | | | | | | |   (84)  all_56_12 = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | COMBINE_EQS: (39), (84) imply:
% 197.66/34.49  | | | | | | | | | | | | |   (85)  e2 = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | SIMP: (85) implies:
% 197.66/34.49  | | | | | | | | | | | | |   (86)  e2 = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | COMBINE_EQS: (14), (86) imply:
% 197.66/34.49  | | | | | | | | | | | | |   (87)  all_56_11 = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | COMBINE_EQS: (54), (86) imply:
% 197.66/34.49  | | | | | | | | | | | | |   (88)  all_56_4 = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (12), (29), (33), (36), (43), (44),
% 197.66/34.49  | | | | | | | | | | | | |            (45), (46), (47), (50), (81), (87), (88) are
% 197.66/34.49  | | | | | | | | | | | | |            inconsistent by sub-proof #1606.
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | Case 2:
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with e0, e2, e0, e0, simplifying
% 197.66/34.49  | | | | | | | | | | | | |              with (40), (42) gives:
% 197.66/34.49  | | | | | | | | | | | | |   (89)  e2 = e0
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | COMBINE_EQS: (54), (89) imply:
% 197.66/34.49  | | | | | | | | | | | | |   (90)  all_56_4 = e0
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | REF_CLOSE: (8), (9), (12), (29), (36), (46), (69), (81), (90)
% 197.66/34.49  | | | | | | | | | | | | |            are inconsistent by sub-proof #1818.
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | End of split
% 197.66/34.49  | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | Case 2:
% 197.66/34.49  | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | |   (91)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 197.66/34.49  | | | | | | | | | | | |           e1 & op(e0, e0) = e1)
% 197.66/34.49  | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | BETA: splitting (91) gives:
% 197.66/34.49  | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | Case 1:
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | |   (92)  all_56_14 = e1 & op(e0, e1) = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | ALPHA: (92) implies:
% 197.66/34.49  | | | | | | | | | | | | |   (93)  all_56_14 = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | COMBINE_EQS: (81), (93) imply:
% 197.66/34.49  | | | | | | | | | | | | |   (94)  e3 = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | COMBINE_EQS: (26), (94) imply:
% 197.66/34.49  | | | | | | | | | | | | |   (95)  all_56_7 = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | REF_CLOSE: (8), (9), (14), (15), (33), (43), (45), (46),
% 197.66/34.49  | | | | | | | | | | | | |            (47), (50), (95) are inconsistent by sub-proof
% 197.66/34.49  | | | | | | | | | | | | |            #1562.
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | Case 2:
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | |   (96)  all_56_15 = e1 & op(e0, e0) = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | ALPHA: (96) implies:
% 197.66/34.49  | | | | | | | | | | | | |   (97)  op(e0, e0) = e1
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | | REF_CLOSE: (9), (33), (40), (97) are inconsistent by
% 197.66/34.49  | | | | | | | | | | | | |            sub-proof #1943.
% 197.66/34.49  | | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | | End of split
% 197.66/34.49  | | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | | End of split
% 197.66/34.49  | | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | | End of split
% 197.66/34.49  | | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | End of split
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | Case 2:
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | |   (98)  all_56_10 = e1 & op(e2, e0) = e1
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | | REF_CLOSE: (8), (9), (14), (15), (22), (26), (33), (43), (45),
% 197.66/34.49  | | | | | | | | |            (46), (47), (50), (98) are inconsistent by
% 197.66/34.49  | | | | | | | | |            sub-proof #1561.
% 197.66/34.49  | | | | | | | | | 
% 197.66/34.49  | | | | | | | | End of split
% 197.66/34.49  | | | | | | | | 
% 197.66/34.49  | | | | | | | End of split
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | End of split
% 197.66/34.49  | | | | | | 
% 197.66/34.49  | | | | | Case 2:
% 197.66/34.49  | | | | | | 
% 197.66/34.49  | | | | | |   (99)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0,
% 197.66/34.49  | | | | | |             e3) = e0)
% 197.66/34.49  | | | | | | 
% 197.66/34.49  | | | | | | BETA: splitting (99) gives:
% 197.66/34.49  | | | | | | 
% 197.66/34.49  | | | | | | Case 1:
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | |   (100)  all_56_6 = e0 & op(e1, e3) = e0
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | | ALPHA: (100) implies:
% 197.66/34.49  | | | | | | |   (101)  all_56_6 = e0
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | | REF_CLOSE: (8), (9), (14), (21), (26), (29), (33), (36), (43),
% 197.66/34.49  | | | | | | |            (44), (45), (46), (47), (101) are inconsistent by
% 197.66/34.49  | | | | | | |            sub-proof #1564.
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | Case 2:
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | |   (102)  all_56_12 = e0 & op(e0, e3) = e0
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | | REF_CLOSE: (8), (9), (12), (13), (29), (33), (34), (36), (39),
% 197.66/34.49  | | | | | | |            (43), (46), (47), (54), (102) are inconsistent by
% 197.66/34.49  | | | | | | |            sub-proof #1560.
% 197.66/34.49  | | | | | | | 
% 197.66/34.49  | | | | | | End of split
% 197.66/34.49  | | | | | | 
% 197.66/34.49  | | | | | End of split
% 197.66/34.49  | | | | | 
% 197.66/34.49  | | | | Case 2:
% 197.66/34.49  | | | | | 
% 197.66/34.49  | | | | |   (103)  all_56_9 = e2 & op(e3, e0) = e2
% 197.66/34.49  | | | | | 
% 197.66/34.49  | | | | | ALPHA: (103) implies:
% 197.66/34.49  | | | | |   (104)  all_56_9 = e2
% 197.66/34.49  | | | | | 
% 197.66/34.49  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 197.66/34.49  | | | | |            (12), (13), (16), (18), (19), (21), (23), (24), (25), (27),
% 197.66/34.49  | | | | |            (28), (29), (30), (31), (33), (34), (35), (36), (37), (38),
% 197.66/34.49  | | | | |            (39), (42), (43), (44), (45), (46), (47), (104) are
% 197.66/34.49  | | | | |            inconsistent by sub-proof #1573.
% 197.66/34.49  | | | | | 
% 197.66/34.49  | | | | End of split
% 197.66/34.49  | | | | 
% 197.66/34.49  | | | End of split
% 197.66/34.49  | | | 
% 197.66/34.49  | | Case 2:
% 197.66/34.49  | | | 
% 197.66/34.49  | | |   (105)  all_56_7 = e1 & op(e1, e2) = e1
% 197.66/34.49  | | | 
% 197.66/34.49  | | | ALPHA: (105) implies:
% 197.66/34.49  | | |   (106)  all_56_7 = e1
% 197.66/34.49  | | | 
% 197.66/34.49  | | | REF_CLOSE: (26), (43), (106) are inconsistent by sub-proof #1907.
% 197.66/34.49  | | | 
% 197.66/34.49  | | End of split
% 197.66/34.49  | | 
% 197.66/34.49  | Case 2:
% 197.66/34.49  | | 
% 197.66/34.49  | |   (107)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 197.66/34.49  | |            e1)
% 197.66/34.49  | | 
% 197.66/34.49  | | REF_CLOSE: (9), (14), (29), (33), (36), (107) are inconsistent by sub-proof
% 197.66/34.49  | |            #1559.
% 197.66/34.49  | | 
% 197.66/34.49  | End of split
% 197.66/34.49  | 
% 197.66/34.49  End of proof
% 197.66/34.49  
% 197.66/34.49  Sub-proof #1559 shows that the following formulas are inconsistent:
% 197.66/34.49  ----------------------------------------------------------------
% 197.66/34.49    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.49    (2)  all_56_11 = e2
% 197.66/34.49    (3)  op(e1, e1) = e0
% 197.66/34.49    (4)   ~ (e1 = e0)
% 197.66/34.49    (5)   ~ (e2 = e1)
% 197.66/34.49    (6)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.66/34.49  
% 197.66/34.49  Begin of proof
% 197.66/34.49  | 
% 197.66/34.49  | BETA: splitting (6) gives:
% 197.66/34.49  | 
% 197.66/34.49  | Case 1:
% 197.66/34.49  | | 
% 197.66/34.49  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 197.66/34.49  | | 
% 197.66/34.49  | | ALPHA: (7) implies:
% 197.66/34.49  | |   (8)  op(e1, e1) = e1
% 197.66/34.49  | | 
% 197.66/34.49  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1959.
% 197.66/34.49  | | 
% 197.66/34.49  | Case 2:
% 197.66/34.49  | | 
% 197.66/34.49  | |   (9)  all_56_11 = e1 & op(e1, e0) = e1
% 197.66/34.49  | | 
% 197.66/34.49  | | ALPHA: (9) implies:
% 197.66/34.49  | |   (10)  all_56_11 = e1
% 197.66/34.49  | | 
% 197.66/34.49  | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #1615.
% 197.66/34.49  | | 
% 197.66/34.49  | End of split
% 197.66/34.49  | 
% 197.66/34.49  End of proof
% 197.66/34.49  
% 197.66/34.49  Sub-proof #1560 shows that the following formulas are inconsistent:
% 197.66/34.49  ----------------------------------------------------------------
% 197.66/34.49    (1)  all_56_12 = e0 & op(e0, e3) = e0
% 197.66/34.49    (2)   ~ (e3 = e2)
% 197.66/34.49    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.49    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.66/34.49         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.66/34.49    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.66/34.49         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.66/34.49    (6)  op(e1, e1) = e0
% 197.66/34.49    (7)   ~ (e1 = e0)
% 197.66/34.49    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.66/34.49         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.66/34.49    (9)  all_56_4 = e2
% 197.66/34.49    (10)   ~ (e2 = e1)
% 197.66/34.49    (11)  all_56_12 = e2
% 197.66/34.49    (12)   ~ (e3 = e1)
% 197.66/34.49    (13)   ~ (e2 = e0)
% 197.66/34.49    (14)   ~ (e3 = e0)
% 197.66/34.49  
% 197.66/34.49  Begin of proof
% 197.66/34.49  | 
% 197.66/34.49  | ALPHA: (1) implies:
% 197.66/34.49  |   (15)  all_56_12 = e0
% 197.66/34.49  | 
% 197.66/34.49  | COMBINE_EQS: (11), (15) imply:
% 197.66/34.49  |   (16)  e2 = e0
% 197.66/34.49  | 
% 197.66/34.49  | SIMP: (16) implies:
% 197.66/34.49  |   (17)  e2 = e0
% 197.66/34.49  | 
% 197.66/34.49  | COMBINE_EQS: (9), (17) imply:
% 197.66/34.49  |   (18)  all_56_4 = e0
% 197.66/34.49  | 
% 197.66/34.49  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14), (18) are
% 197.66/34.49  |            inconsistent by sub-proof #1809.
% 197.66/34.49  | 
% 197.66/34.49  End of proof
% 197.66/34.49  
% 197.66/34.49  Sub-proof #1561 shows that the following formulas are inconsistent:
% 197.66/34.49  ----------------------------------------------------------------
% 197.66/34.49    (1)   ~ (e3 = e2)
% 197.66/34.49    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.49    (3)  all_56_11 = e2
% 197.66/34.49    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 197.66/34.49         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.66/34.49    (5)  all_56_10 = e3
% 197.66/34.49    (6)  all_56_7 = e3
% 197.66/34.49    (7)   ~ (e1 = e0)
% 197.66/34.49    (8)  all_56_6 = e1
% 197.66/34.49    (9)  all_56_10 = e1 & op(e2, e0) = e1
% 197.66/34.49    (10)   ~ (e3 = e1)
% 197.66/34.49    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.66/34.49          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.66/34.49    (12)   ~ (e2 = e0)
% 197.66/34.49    (13)   ~ (e3 = e0)
% 197.66/34.49  
% 197.66/34.49  Begin of proof
% 197.66/34.49  | 
% 197.66/34.49  | ALPHA: (9) implies:
% 197.66/34.49  |   (14)  all_56_10 = e1
% 197.66/34.49  | 
% 197.66/34.49  | COMBINE_EQS: (5), (14) imply:
% 197.66/34.49  |   (15)  e3 = e1
% 197.66/34.49  | 
% 197.66/34.49  | SIMP: (15) implies:
% 197.66/34.49  |   (16)  e3 = e1
% 197.66/34.49  | 
% 197.66/34.49  | COMBINE_EQS: (6), (16) imply:
% 197.66/34.49  |   (17)  all_56_7 = e1
% 197.66/34.49  | 
% 197.66/34.49  | REF_CLOSE: (1), (2), (3), (4), (7), (8), (10), (11), (12), (13), (17) are
% 197.66/34.49  |            inconsistent by sub-proof #1562.
% 197.66/34.49  | 
% 197.66/34.49  End of proof
% 197.66/34.49  
% 197.66/34.49  Sub-proof #1562 shows that the following formulas are inconsistent:
% 197.66/34.49  ----------------------------------------------------------------
% 197.66/34.49    (1)   ~ (e3 = e2)
% 197.66/34.49    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.49    (3)  all_56_7 = e1
% 197.66/34.49    (4)  all_56_11 = e2
% 197.66/34.49    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 197.66/34.49         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.66/34.49    (6)   ~ (e1 = e0)
% 197.66/34.49    (7)  all_56_6 = e1
% 197.66/34.49    (8)   ~ (e3 = e1)
% 197.66/34.49    (9)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.66/34.49         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.66/34.49    (10)   ~ (e2 = e0)
% 197.66/34.49    (11)   ~ (e3 = e0)
% 197.66/34.49  
% 197.66/34.49  Begin of proof
% 197.66/34.49  | 
% 197.66/34.49  | BETA: splitting (5) gives:
% 197.66/34.49  | 
% 197.66/34.49  | Case 1:
% 197.66/34.49  | | 
% 197.66/34.49  | |   (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 197.66/34.49  | |           e0)
% 197.66/34.49  | | 
% 197.66/34.49  | | BETA: splitting (12) gives:
% 197.66/34.49  | | 
% 197.66/34.49  | | Case 1:
% 197.66/34.49  | | | 
% 197.66/34.49  | | |   (13)  all_56_6 = e0 & op(e1, e3) = e0
% 197.66/34.49  | | | 
% 197.66/34.49  | | | REF_CLOSE: (6), (7), (13) are inconsistent by sub-proof #1776.
% 197.66/34.49  | | | 
% 197.66/34.49  | | Case 2:
% 197.66/34.49  | | | 
% 197.66/34.49  | | |   (14)  all_56_7 = e0 & op(e1, e2) = e0
% 197.66/34.49  | | | 
% 197.66/34.49  | | | REF_CLOSE: (3), (6), (14) are inconsistent by sub-proof #1563.
% 197.66/34.49  | | | 
% 197.66/34.49  | | End of split
% 197.66/34.49  | | 
% 197.66/34.49  | Case 2:
% 197.66/34.49  | | 
% 197.66/34.49  | |   (15)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 197.66/34.49  | |           e0)
% 197.66/34.49  | | 
% 197.66/34.49  | | BETA: splitting (15) gives:
% 197.66/34.49  | | 
% 197.66/34.49  | | Case 1:
% 197.66/34.49  | | | 
% 197.66/34.49  | | |   (16)  all_56_8 = e0 & op(e1, e1) = e0
% 197.66/34.49  | | | 
% 197.66/34.49  | | | ALPHA: (16) implies:
% 197.66/34.49  | | |   (17)  op(e1, e1) = e0
% 197.66/34.49  | | | 
% 197.66/34.49  | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (11), (17) are inconsistent
% 197.66/34.49  | | |            by sub-proof #1617.
% 197.66/34.49  | | | 
% 197.66/34.49  | | Case 2:
% 197.66/34.49  | | | 
% 197.66/34.49  | | |   (18)  all_56_11 = e0 & op(e1, e0) = e0
% 197.66/34.49  | | | 
% 197.66/34.49  | | | REF_CLOSE: (4), (10), (18) are inconsistent by sub-proof #1774.
% 197.66/34.49  | | | 
% 197.66/34.49  | | End of split
% 197.66/34.49  | | 
% 197.66/34.49  | End of split
% 197.66/34.49  | 
% 197.66/34.49  End of proof
% 197.66/34.49  
% 197.66/34.49  Sub-proof #1563 shows that the following formulas are inconsistent:
% 197.66/34.49  ----------------------------------------------------------------
% 197.66/34.49    (1)  all_56_7 = e0 & op(e1, e2) = e0
% 197.66/34.49    (2)  all_56_7 = e1
% 197.66/34.49    (3)   ~ (e1 = e0)
% 197.66/34.49  
% 197.66/34.49  Begin of proof
% 197.66/34.49  | 
% 197.66/34.49  | ALPHA: (1) implies:
% 197.66/34.49  |   (4)  all_56_7 = e0
% 197.66/34.49  | 
% 197.66/34.49  | COMBINE_EQS: (2), (4) imply:
% 197.66/34.49  |   (5)  e1 = e0
% 197.66/34.49  | 
% 197.66/34.49  | REDUCE: (3), (5) imply:
% 197.66/34.49  |   (6)  $false
% 197.66/34.49  | 
% 197.66/34.49  | CLOSE: (6) is inconsistent.
% 197.66/34.49  | 
% 197.66/34.49  End of proof
% 197.66/34.49  
% 197.66/34.49  Sub-proof #1564 shows that the following formulas are inconsistent:
% 197.66/34.49  ----------------------------------------------------------------
% 197.66/34.49    (1)   ~ (e3 = e2)
% 197.66/34.49    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.49    (3)  all_56_11 = e2
% 197.66/34.49    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.66/34.49         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.66/34.49    (5)  all_56_6 = e0
% 197.66/34.49    (6)  all_56_7 = e3
% 197.66/34.49    (7)  op(e1, e1) = e0
% 197.66/34.49    (8)   ~ (e1 = e0)
% 197.66/34.49    (9)   ~ (e2 = e1)
% 197.66/34.49    (10)   ~ (e3 = e1)
% 197.66/34.49    (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.66/34.49          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.66/34.49    (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.66/34.49          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.66/34.49    (13)   ~ (e2 = e0)
% 197.66/34.49    (14)   ~ (e3 = e0)
% 197.66/34.49  
% 197.66/34.49  Begin of proof
% 197.66/34.49  | 
% 197.66/34.49  | BETA: splitting (4) gives:
% 197.66/34.49  | 
% 197.66/34.49  | Case 1:
% 197.66/34.49  | | 
% 197.66/34.49  | |   (15)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 197.66/34.49  | |           e1)
% 197.66/34.49  | | 
% 197.66/34.49  | | BETA: splitting (15) gives:
% 197.66/34.49  | | 
% 197.66/34.49  | | Case 1:
% 197.66/34.49  | | | 
% 197.66/34.49  | | |   (16)  all_56_6 = e1 & op(e1, e3) = e1
% 197.66/34.49  | | | 
% 197.66/34.49  | | | ALPHA: (16) implies:
% 197.66/34.49  | | |   (17)  all_56_6 = e1
% 197.66/34.49  | | | 
% 197.66/34.49  | | | REF_CLOSE: (5), (8), (17) are inconsistent by sub-proof #1565.
% 197.66/34.49  | | | 
% 197.66/34.49  | | Case 2:
% 197.66/34.49  | | | 
% 197.66/34.49  | | |   (18)  all_56_7 = e1 & op(e1, e2) = e1
% 197.66/34.49  | | | 
% 197.66/34.49  | | | ALPHA: (18) implies:
% 197.66/34.49  | | |   (19)  all_56_7 = e1
% 197.66/34.49  | | | 
% 197.66/34.49  | | | REF_CLOSE: (1), (2), (3), (5), (7), (10), (12), (14), (19) are
% 197.66/34.49  | | |            inconsistent by sub-proof #1580.
% 197.66/34.49  | | | 
% 197.66/34.49  | | End of split
% 197.66/34.49  | | 
% 197.66/34.49  | Case 2:
% 197.66/34.49  | | 
% 197.66/34.49  | |   (20)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 197.66/34.49  | |           e1)
% 197.66/34.49  | | 
% 197.66/34.49  | | BETA: splitting (20) gives:
% 197.66/34.49  | | 
% 197.66/34.49  | | Case 1:
% 197.66/34.49  | | | 
% 197.66/34.49  | | |   (21)  all_56_8 = e1 & op(e1, e1) = e1
% 197.66/34.49  | | | 
% 197.66/34.49  | | | ALPHA: (21) implies:
% 197.66/34.49  | | |   (22)  op(e1, e1) = e1
% 197.66/34.49  | | | 
% 197.66/34.49  | | | REF_CLOSE: (2), (7), (8), (22) are inconsistent by sub-proof #1959.
% 197.66/34.49  | | | 
% 197.66/34.49  | | Case 2:
% 197.66/34.49  | | | 
% 197.66/34.49  | | |   (23)  all_56_11 = e1 & op(e1, e0) = e1
% 197.66/34.49  | | | 
% 197.66/34.49  | | | ALPHA: (23) implies:
% 197.66/34.49  | | |   (24)  all_56_11 = e1
% 197.66/34.49  | | | 
% 197.66/34.49  | | | REF_CLOSE: (1), (2), (5), (6), (7), (9), (11), (13), (24) are inconsistent
% 197.66/34.49  | | |            by sub-proof #1576.
% 197.66/34.49  | | | 
% 197.66/34.49  | | End of split
% 197.66/34.49  | | 
% 197.66/34.49  | End of split
% 197.66/34.49  | 
% 197.66/34.49  End of proof
% 197.66/34.49  
% 197.66/34.49  Sub-proof #1565 shows that the following formulas are inconsistent:
% 197.66/34.49  ----------------------------------------------------------------
% 197.66/34.49    (1)  all_56_6 = e1
% 197.66/34.49    (2)  all_56_6 = e0
% 197.66/34.49    (3)   ~ (e1 = e0)
% 197.66/34.49  
% 197.66/34.49  Begin of proof
% 197.66/34.49  | 
% 197.66/34.49  | COMBINE_EQS: (1), (2) imply:
% 197.66/34.49  |   (4)  e1 = e0
% 197.66/34.49  | 
% 197.66/34.49  | SIMP: (4) implies:
% 197.66/34.49  |   (5)  e1 = e0
% 197.66/34.49  | 
% 197.66/34.49  | REDUCE: (3), (5) imply:
% 197.66/34.49  |   (6)  $false
% 197.66/34.49  | 
% 197.66/34.49  | CLOSE: (6) is inconsistent.
% 197.66/34.49  | 
% 197.66/34.49  End of proof
% 197.66/34.49  
% 197.66/34.49  Sub-proof #1566 shows that the following formulas are inconsistent:
% 197.66/34.49  ----------------------------------------------------------------
% 197.66/34.49    (1)   ~ (e3 = e2)
% 197.66/34.49    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.49    (3)  op(e3, e3) = e3
% 197.66/34.49    (4)  all_56_1 = e0
% 197.66/34.49    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 197.66/34.49    (6)   ~ (e2 = e0)
% 197.66/34.49  
% 197.66/34.49  Begin of proof
% 197.66/34.49  | 
% 197.66/34.49  | BETA: splitting (5) gives:
% 197.66/34.49  | 
% 197.66/34.49  | Case 1:
% 197.66/34.49  | | 
% 197.66/34.49  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 197.66/34.49  | | 
% 197.66/34.49  | | ALPHA: (7) implies:
% 197.66/34.49  | |   (8)  op(e3, e3) = e2
% 197.66/34.49  | | 
% 197.66/34.49  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1957.
% 197.66/34.49  | | 
% 197.66/34.49  | Case 2:
% 197.66/34.49  | | 
% 197.66/34.49  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 197.66/34.49  | | 
% 197.66/34.49  | | REF_CLOSE: (4), (6), (9) are inconsistent by sub-proof #1922.
% 197.66/34.49  | | 
% 197.66/34.49  | End of split
% 197.66/34.49  | 
% 197.66/34.49  End of proof
% 197.66/34.49  
% 197.66/34.49  Sub-proof #1567 shows that the following formulas are inconsistent:
% 197.66/34.49  ----------------------------------------------------------------
% 197.66/34.49    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.66/34.49         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.66/34.49    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.66/34.49         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.66/34.49    (3)   ~ (e3 = e2)
% 197.66/34.49    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.49    (5)  op(e3, e3) = e3
% 197.66/34.49    (6)   ~ (e1 = e0)
% 197.66/34.49    (7)  all_56_6 = e3
% 197.66/34.49    (8)   ~ (e2 = e1)
% 197.66/34.49    (9)  all_56_12 = e0
% 197.66/34.49    (10)   ~ (e3 = e1)
% 197.66/34.50    (11)   ~ (e2 = e0)
% 197.66/34.50  
% 197.66/34.50  Begin of proof
% 197.66/34.50  | 
% 197.66/34.50  | BETA: splitting (1) gives:
% 197.66/34.50  | 
% 197.66/34.50  | Case 1:
% 197.66/34.50  | | 
% 197.66/34.50  | |   (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 197.66/34.50  | |           e2)
% 197.66/34.50  | | 
% 197.66/34.50  | | BETA: splitting (12) gives:
% 197.66/34.50  | | 
% 197.66/34.50  | | Case 1:
% 197.66/34.50  | | | 
% 197.66/34.50  | | |   (13)  all_56_0 = e2 & op(e3, e3) = e2
% 197.66/34.50  | | | 
% 197.66/34.50  | | | ALPHA: (13) implies:
% 197.66/34.50  | | |   (14)  op(e3, e3) = e2
% 197.66/34.50  | | | 
% 197.66/34.50  | | | REF_CLOSE: (3), (4), (5), (14) are inconsistent by sub-proof #1957.
% 197.66/34.50  | | | 
% 197.66/34.50  | | Case 2:
% 197.66/34.50  | | | 
% 197.66/34.50  | | |   (15)  all_56_2 = e2 & op(e2, e3) = e2
% 197.66/34.50  | | | 
% 197.66/34.50  | | | ALPHA: (15) implies:
% 197.66/34.50  | | |   (16)  all_56_2 = e2
% 197.66/34.50  | | | 
% 197.66/34.50  | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (16) are inconsistent
% 197.66/34.50  | | |            by sub-proof #1568.
% 197.66/34.50  | | | 
% 197.66/34.50  | | End of split
% 197.66/34.50  | | 
% 197.66/34.50  | Case 2:
% 197.66/34.50  | | 
% 197.66/34.50  | |   (17)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 197.66/34.50  | |           e2)
% 197.66/34.50  | | 
% 197.66/34.50  | | REF_CLOSE: (3), (7), (9), (11), (17) are inconsistent by sub-proof #1851.
% 197.66/34.50  | | 
% 197.66/34.50  | End of split
% 197.66/34.50  | 
% 197.66/34.50  End of proof
% 197.66/34.50  
% 197.66/34.50  Sub-proof #1568 shows that the following formulas are inconsistent:
% 197.66/34.50  ----------------------------------------------------------------
% 197.66/34.50    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.66/34.50         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.66/34.50    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.50    (3)  op(e3, e3) = e3
% 197.66/34.50    (4)   ~ (e1 = e0)
% 197.66/34.50    (5)  all_56_6 = e3
% 197.66/34.50    (6)   ~ (e2 = e1)
% 197.66/34.50    (7)  all_56_2 = e2
% 197.66/34.50    (8)  all_56_12 = e0
% 197.66/34.50    (9)   ~ (e3 = e1)
% 197.66/34.50  
% 197.66/34.50  Begin of proof
% 197.66/34.50  | 
% 197.66/34.50  | BETA: splitting (1) gives:
% 197.66/34.50  | 
% 197.66/34.50  | Case 1:
% 197.66/34.50  | | 
% 197.66/34.50  | |   (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 197.66/34.50  | |           e1)
% 197.66/34.50  | | 
% 197.66/34.50  | | BETA: splitting (10) gives:
% 197.66/34.50  | | 
% 197.66/34.50  | | Case 1:
% 197.66/34.50  | | | 
% 197.66/34.50  | | |   (11)  all_56_0 = e1 & op(e3, e3) = e1
% 197.66/34.50  | | | 
% 197.66/34.50  | | | ALPHA: (11) implies:
% 197.66/34.50  | | |   (12)  op(e3, e3) = e1
% 197.66/34.50  | | | 
% 197.66/34.50  | | | REF_CLOSE: (2), (3), (9), (12) are inconsistent by sub-proof #1966.
% 197.66/34.50  | | | 
% 197.66/34.50  | | Case 2:
% 197.66/34.50  | | | 
% 197.66/34.50  | | |   (13)  all_56_2 = e1 & op(e2, e3) = e1
% 197.66/34.50  | | | 
% 197.66/34.50  | | | REF_CLOSE: (6), (7), (13) are inconsistent by sub-proof #1570.
% 197.66/34.50  | | | 
% 197.66/34.50  | | End of split
% 197.66/34.50  | | 
% 197.66/34.50  | Case 2:
% 197.66/34.50  | | 
% 197.66/34.50  | |   (14)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 197.66/34.50  | |           e1)
% 197.66/34.50  | | 
% 197.66/34.50  | | BETA: splitting (14) gives:
% 197.66/34.50  | | 
% 197.66/34.50  | | Case 1:
% 197.66/34.50  | | | 
% 197.66/34.50  | | |   (15)  all_56_6 = e1 & op(e1, e3) = e1
% 197.66/34.50  | | | 
% 197.66/34.50  | | | REF_CLOSE: (5), (9), (15) are inconsistent by sub-proof #1569.
% 197.66/34.50  | | | 
% 197.66/34.50  | | Case 2:
% 197.66/34.50  | | | 
% 197.66/34.50  | | |   (16)  all_56_12 = e1 & op(e0, e3) = e1
% 197.66/34.50  | | | 
% 197.66/34.50  | | | ALPHA: (16) implies:
% 197.66/34.50  | | |   (17)  all_56_12 = e1
% 197.66/34.50  | | | 
% 197.66/34.50  | | | REF_CLOSE: (4), (8), (17) are inconsistent by sub-proof #1723.
% 197.66/34.50  | | | 
% 197.66/34.50  | | End of split
% 197.66/34.50  | | 
% 197.66/34.50  | End of split
% 197.66/34.50  | 
% 197.66/34.50  End of proof
% 197.66/34.50  
% 197.66/34.50  Sub-proof #1569 shows that the following formulas are inconsistent:
% 197.66/34.50  ----------------------------------------------------------------
% 197.66/34.50    (1)  all_56_6 = e1 & op(e1, e3) = e1
% 197.66/34.50    (2)  all_56_6 = e3
% 197.66/34.50    (3)   ~ (e3 = e1)
% 197.66/34.50  
% 197.66/34.50  Begin of proof
% 197.66/34.50  | 
% 197.66/34.50  | ALPHA: (1) implies:
% 197.66/34.50  |   (4)  all_56_6 = e1
% 197.66/34.50  | 
% 197.66/34.50  | COMBINE_EQS: (2), (4) imply:
% 197.66/34.50  |   (5)  e3 = e1
% 197.66/34.50  | 
% 197.66/34.50  | REDUCE: (3), (5) imply:
% 197.66/34.50  |   (6)  $false
% 197.66/34.50  | 
% 197.66/34.50  | CLOSE: (6) is inconsistent.
% 197.66/34.50  | 
% 197.66/34.50  End of proof
% 197.66/34.50  
% 197.66/34.50  Sub-proof #1570 shows that the following formulas are inconsistent:
% 197.66/34.50  ----------------------------------------------------------------
% 197.66/34.50    (1)  all_56_2 = e1 & op(e2, e3) = e1
% 197.66/34.50    (2)  all_56_2 = e2
% 197.66/34.50    (3)   ~ (e2 = e1)
% 197.66/34.50  
% 197.66/34.50  Begin of proof
% 197.66/34.50  | 
% 197.66/34.50  | ALPHA: (1) implies:
% 197.66/34.50  |   (4)  all_56_2 = e1
% 197.66/34.50  | 
% 197.66/34.50  | COMBINE_EQS: (2), (4) imply:
% 197.66/34.50  |   (5)  e2 = e1
% 197.66/34.50  | 
% 197.66/34.50  | REDUCE: (3), (5) imply:
% 197.66/34.50  |   (6)  $false
% 197.66/34.50  | 
% 197.66/34.50  | CLOSE: (6) is inconsistent.
% 197.66/34.50  | 
% 197.66/34.50  End of proof
% 197.66/34.50  
% 197.66/34.50  Sub-proof #1571 shows that the following formulas are inconsistent:
% 197.66/34.50  ----------------------------------------------------------------
% 197.66/34.50    (1)  all_56_9 = e2
% 197.66/34.50    (2)   ~ (e3 = e2)
% 197.66/34.50    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.50    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.66/34.50         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.66/34.50    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.66/34.50         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.66/34.50    (6)  op(e1, e1) = e0
% 197.66/34.50    (7)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.66/34.50    (8)   ~ (e1 = e0)
% 197.66/34.50    (9)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.66/34.50         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.66/34.50    (10)   ~ (e2 = e1)
% 197.66/34.50    (11)   ~ (e3 = e1)
% 197.66/34.50    (12)   ~ (e2 = e0)
% 197.66/34.50    (13)   ~ (e3 = e0)
% 197.66/34.50  
% 197.66/34.50  Begin of proof
% 197.66/34.50  | 
% 197.66/34.50  | BETA: splitting (7) gives:
% 197.66/34.50  | 
% 197.66/34.50  | Case 1:
% 197.66/34.50  | | 
% 197.66/34.50  | |   (14)  all_56_4 = e0 & op(e3, e1) = e0
% 197.66/34.50  | | 
% 197.66/34.50  | | ALPHA: (14) implies:
% 197.66/34.50  | |   (15)  all_56_4 = e0
% 197.66/34.50  | | 
% 197.66/34.50  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (15)
% 197.66/34.50  | |            are inconsistent by sub-proof #1809.
% 197.66/34.50  | | 
% 197.66/34.50  | Case 2:
% 197.66/34.50  | | 
% 197.66/34.50  | |   (16)  all_56_9 = e0 & op(e3, e0) = e0
% 197.66/34.50  | | 
% 197.66/34.50  | | REF_CLOSE: (1), (12), (16) are inconsistent by sub-proof #1572.
% 197.66/34.50  | | 
% 197.66/34.50  | End of split
% 197.66/34.50  | 
% 197.66/34.50  End of proof
% 197.66/34.50  
% 197.66/34.50  Sub-proof #1572 shows that the following formulas are inconsistent:
% 197.66/34.50  ----------------------------------------------------------------
% 197.66/34.50    (1)  all_56_9 = e0 & op(e3, e0) = e0
% 197.66/34.50    (2)  all_56_9 = e2
% 197.66/34.50    (3)   ~ (e2 = e0)
% 197.66/34.50  
% 197.66/34.50  Begin of proof
% 197.66/34.50  | 
% 197.66/34.50  | ALPHA: (1) implies:
% 197.66/34.50  |   (4)  all_56_9 = e0
% 197.66/34.50  | 
% 197.66/34.50  | COMBINE_EQS: (2), (4) imply:
% 197.66/34.50  |   (5)  e2 = e0
% 197.66/34.50  | 
% 197.66/34.50  | REDUCE: (3), (5) imply:
% 197.66/34.50  |   (6)  $false
% 197.66/34.50  | 
% 197.66/34.50  | CLOSE: (6) is inconsistent.
% 197.66/34.50  | 
% 197.66/34.50  End of proof
% 197.66/34.50  
% 197.66/34.50  Sub-proof #1573 shows that the following formulas are inconsistent:
% 197.66/34.50  ----------------------------------------------------------------
% 197.66/34.50    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 197.66/34.50         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.66/34.50    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.66/34.50         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.66/34.50    (3)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.66/34.50         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.66/34.50    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.66/34.50         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.66/34.50    (5)  all_56_9 = e2
% 197.66/34.50    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.66/34.50         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.66/34.50    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.66/34.50         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.66/34.50    (8)   ~ (all_52_13 = e2)
% 197.66/34.50    (9)   ~ (e3 = e2)
% 197.66/34.50    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.66/34.50            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.66/34.50    (11)  op(e2, e2) = all_4_2
% 197.66/34.50    (12)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.66/34.50          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.66/34.50    (13)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.66/34.50          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.68/34.50    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.68/34.50          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.68/34.50    (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.68/34.50          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.68/34.50            e1)
% 197.68/34.50    (16)  op(e2, e0) = all_52_13
% 197.68/34.50    (17)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.68/34.50              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.68/34.50            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.68/34.50            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.68/34.50            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.68/34.50            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.68/34.50            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.68/34.50            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.68/34.50            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.68/34.50            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.68/34.50            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.68/34.50            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.68/34.50            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.68/34.50            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.68/34.50            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.68/34.50            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.68/34.50            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.68/34.50            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.68/34.50            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.68/34.50            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.68/34.50            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.68/34.50            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.68/34.50            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.68/34.50            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.68/34.50            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.68/34.50            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.68/34.50            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.68/34.50            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.68/34.50            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.68/34.50            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.68/34.50            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.68/34.50            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.68/34.50            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.68/34.50            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.68/34.50            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.68/34.50            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.68/34.50            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.68/34.50            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.68/34.50            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.68/34.50            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.68/34.50            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.68/34.50            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.68/34.50            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.68/34.50            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.68/34.50            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.68/34.50            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.68/34.50            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.68/34.50            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.68/34.50              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.68/34.50            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.68/34.50            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.68/34.50              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.68/34.50            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.68/34.50            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.68/34.50                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.68/34.50                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.68/34.50                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.68/34.50                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.68/34.50                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.68/34.50                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.68/34.50                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.68/34.50              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.68/34.50                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.68/34.50                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.68/34.50                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.68/34.50                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.68/34.50                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.68/34.50                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.68/34.50                $i(all_57_7))))
% 197.68/34.50    (18)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.68/34.50          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.68/34.50    (19)  op(e0, e1) = all_52_11
% 197.68/34.50    (20)  op(e3, e3) = e3
% 197.68/34.50    (21)  all_56_1 = e0
% 197.68/34.50    (22)   ~ (all_52_12 = e3)
% 197.68/34.50    (23)   ~ (all_4_2 = e1)
% 197.68/34.50    (24)  op(e1, e1) = e0
% 197.68/34.50    (25)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.68/34.50          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.68/34.50    (26)   ~ (all_4_2 = e3)
% 197.68/34.50    (27)   ~ (e1 = e0)
% 197.68/34.50    (28)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.68/34.50          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.68/34.50    (29)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.68/34.50              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.68/34.50                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.68/34.50                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.68/34.50    (30)   ~ (e2 = e1)
% 197.68/34.50    (31)   ~ (all_52_11 = e0)
% 197.68/34.50    (32)  op(e3, e0) = all_52_12
% 197.68/34.50    (33)  all_56_12 = e2
% 197.68/34.50    (34)  op(e0, e0) = e2
% 197.68/34.50    (35)   ~ (e3 = e1)
% 197.68/34.50    (36)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.68/34.50          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.68/34.50    (37)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.68/34.50          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.68/34.50    (38)   ~ (e2 = e0)
% 197.68/34.50    (39)   ~ (e3 = e0)
% 197.68/34.50  
% 197.68/34.50  Begin of proof
% 197.68/34.50  | 
% 197.68/34.50  | BETA: splitting (6) gives:
% 197.68/34.50  | 
% 197.68/34.50  | Case 1:
% 197.68/34.50  | | 
% 197.68/34.50  | |   (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 197.68/34.50  | |           e0)
% 197.68/34.50  | | 
% 197.68/34.50  | | BETA: splitting (40) gives:
% 197.68/34.50  | | 
% 197.68/34.50  | | Case 1:
% 197.68/34.50  | | | 
% 197.68/34.50  | | |   (41)  all_56_0 = e0 & op(e3, e3) = e0
% 197.68/34.50  | | | 
% 197.68/34.50  | | | ALPHA: (41) implies:
% 197.68/34.50  | | |   (42)  op(e3, e3) = e0
% 197.68/34.50  | | | 
% 197.68/34.50  | | | REF_CLOSE: (10), (20), (39), (42) are inconsistent by sub-proof #1961.
% 197.68/34.50  | | | 
% 197.68/34.50  | | Case 2:
% 197.68/34.50  | | | 
% 197.68/34.50  | | |   (43)  all_56_2 = e0 & op(e2, e3) = e0
% 197.68/34.50  | | | 
% 197.68/34.50  | | | ALPHA: (43) implies:
% 197.68/34.50  | | |   (44)  all_56_2 = e0
% 197.68/34.50  | | | 
% 197.68/34.50  | | | BETA: splitting (29) gives:
% 197.68/34.50  | | | 
% 197.68/34.50  | | | Case 1:
% 197.68/34.50  | | | | 
% 197.68/34.50  | | | |   (45)  all_56_15 = e0 & op(e0, e0) = e0
% 197.68/34.50  | | | | 
% 197.68/34.50  | | | | ALPHA: (45) implies:
% 197.68/34.50  | | | |   (46)  op(e0, e0) = e0
% 197.68/34.50  | | | | 
% 197.68/34.50  | | | | BETA: splitting (4) gives:
% 197.68/34.50  | | | | 
% 197.68/34.50  | | | | Case 1:
% 197.68/34.50  | | | | | 
% 197.68/34.50  | | | | |   (47)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3,
% 197.68/34.50  | | | | |             e2) = e1)
% 197.68/34.50  | | | | | 
% 197.68/34.50  | | | | | REF_CLOSE: (10), (20), (21), (27), (35), (47) are inconsistent by
% 197.68/34.50  | | | | |            sub-proof #1627.
% 197.68/34.50  | | | | | 
% 197.68/34.50  | | | | Case 2:
% 197.68/34.50  | | | | | 
% 197.68/34.50  | | | | |   (48)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3,
% 197.68/34.50  | | | | |             e0) = e1)
% 197.68/34.50  | | | | | 
% 197.68/34.50  | | | | | BETA: splitting (48) gives:
% 197.68/34.50  | | | | | 
% 197.68/34.50  | | | | | Case 1:
% 197.68/34.50  | | | | | | 
% 197.68/34.50  | | | | | |   (49)  all_56_4 = e1 & op(e3, e1) = e1
% 197.68/34.50  | | | | | | 
% 197.68/34.50  | | | | | | ALPHA: (49) implies:
% 197.68/34.50  | | | | | |   (50)  all_56_4 = e1
% 197.68/34.50  | | | | | |   (51)  op(e3, e1) = e1
% 197.68/34.50  | | | | | | 
% 197.68/34.50  | | | | | | BETA: splitting (13) gives:
% 197.68/34.50  | | | | | | 
% 197.68/34.50  | | | | | | Case 1:
% 197.68/34.50  | | | | | | | 
% 197.68/34.50  | | | | | | |   (52)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 &
% 197.68/34.50  | | | | | | |           op(e2, e1) = e2)
% 197.68/34.50  | | | | | | | 
% 197.68/34.50  | | | | | | | BETA: splitting (52) gives:
% 197.68/34.50  | | | | | | | 
% 197.68/34.50  | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | 
% 197.68/34.50  | | | | | | | |   (53)  all_56_4 = e2 & op(e3, e1) = e2
% 197.68/34.50  | | | | | | | | 
% 197.68/34.50  | | | | | | | | ALPHA: (53) implies:
% 197.68/34.50  | | | | | | | |   (54)  all_56_4 = e2
% 197.68/34.50  | | | | | | | | 
% 197.68/34.50  | | | | | | | | REF_CLOSE: (30), (50), (54) are inconsistent by sub-proof #1751.
% 197.68/34.50  | | | | | | | | 
% 197.68/34.50  | | | | | | | Case 2:
% 197.68/34.50  | | | | | | | | 
% 197.68/34.50  | | | | | | | |   (55)  all_56_5 = e2 & op(e2, e1) = e2
% 197.68/34.50  | | | | | | | | 
% 197.68/34.50  | | | | | | | | ALPHA: (55) implies:
% 197.68/34.50  | | | | | | | |   (56)  all_56_5 = e2
% 197.68/34.50  | | | | | | | | 
% 197.68/34.50  | | | | | | | | BETA: splitting (25) gives:
% 197.68/34.50  | | | | | | | | 
% 197.68/34.50  | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | 
% 197.68/34.50  | | | | | | | | |   (57)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 &
% 197.68/34.50  | | | | | | | | |           op(e2, e2) = e3)
% 197.68/34.50  | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | BETA: splitting (57) gives:
% 197.68/34.50  | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | |   (58)  all_56_2 = e3 & op(e2, e3) = e3
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | REF_CLOSE: (39), (44), (58) are inconsistent by sub-proof
% 197.68/34.50  | | | | | | | | | |            #1626.
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | Case 2:
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | |   (59)  all_56_3 = e3 & op(e2, e2) = e3
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | ALPHA: (59) implies:
% 197.68/34.50  | | | | | | | | | |   (60)  op(e2, e2) = e3
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | REF_CLOSE: (10), (11), (26), (60) are inconsistent by
% 197.68/34.50  | | | | | | | | | |            sub-proof #1975.
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | End of split
% 197.68/34.50  | | | | | | | | | 
% 197.68/34.50  | | | | | | | | Case 2:
% 197.68/34.50  | | | | | | | | | 
% 197.68/34.50  | | | | | | | | |   (61)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 197.68/34.50  | | | | | | | | |           op(e2, e0) = e3)
% 197.68/34.50  | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | BETA: splitting (61) gives:
% 197.68/34.50  | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | |   (62)  all_56_5 = e3 & op(e2, e1) = e3
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | REF_CLOSE: (9), (56), (62) are inconsistent by sub-proof
% 197.68/34.50  | | | | | | | | | |            #1625.
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | Case 2:
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | |   (63)  all_56_10 = e3 & op(e2, e0) = e3
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | ALPHA: (63) implies:
% 197.68/34.50  | | | | | | | | | |   (64)  all_56_10 = e3
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | BETA: splitting (28) gives:
% 197.68/34.50  | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | |   (65)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 197.68/34.50  | | | | | | | | | | |           & op(e2, e1) = e3)
% 197.68/34.50  | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | BETA: splitting (65) gives:
% 197.68/34.50  | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | |   (66)  all_56_4 = e3 & op(e3, e1) = e3
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | ALPHA: (66) implies:
% 197.68/34.50  | | | | | | | | | | | |   (67)  op(e3, e1) = e3
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | REF_CLOSE: (10), (35), (51), (67) are inconsistent by
% 197.68/34.50  | | | | | | | | | | | |            sub-proof #1624.
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | Case 2:
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | |   (68)  all_56_5 = e3 & op(e2, e1) = e3
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | REF_CLOSE: (9), (56), (68) are inconsistent by sub-proof
% 197.68/34.50  | | | | | | | | | | | |            #1625.
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | End of split
% 197.68/34.50  | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | Case 2:
% 197.68/34.50  | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | |   (69)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 197.68/34.50  | | | | | | | | | | |           e3 & op(e0, e1) = e3)
% 197.68/34.50  | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | BETA: splitting (69) gives:
% 197.68/34.50  | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | |   (70)  all_56_8 = e3 & op(e1, e1) = e3
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | ALPHA: (70) implies:
% 197.68/34.50  | | | | | | | | | | | |   (71)  op(e1, e1) = e3
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | REF_CLOSE: (10), (24), (39), (71) are inconsistent by
% 197.68/34.50  | | | | | | | | | | | |            sub-proof #1824.
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | Case 2:
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | |   (72)  all_56_14 = e3 & op(e0, e1) = e3
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | ALPHA: (72) implies:
% 197.68/34.50  | | | | | | | | | | | |   (73)  all_56_14 = e3
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | BETA: splitting (7) gives:
% 197.68/34.50  | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | |   (74)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 197.68/34.50  | | | | | | | | | | | | |           & op(e2, e3) = e1)
% 197.68/34.50  | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | REF_CLOSE: (9), (10), (13), (14), (20), (24), (27), (28),
% 197.68/34.50  | | | | | | | | | | | | |            (30), (35), (38), (39), (44), (50), (74) are
% 197.68/34.50  | | | | | | | | | | | | |            inconsistent by sub-proof #1623.
% 197.68/34.50  | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | Case 2:
% 197.68/34.50  | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | |   (75)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 197.68/34.50  | | | | | | | | | | | | |           e1 & op(e0, e3) = e1)
% 197.68/34.50  | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | BETA: splitting (75) gives:
% 197.68/34.50  | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | |   (76)  all_56_6 = e1 & op(e1, e3) = e1
% 197.68/34.50  | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | ALPHA: (76) implies:
% 197.68/34.50  | | | | | | | | | | | | | |   (77)  all_56_6 = e1
% 197.68/34.50  | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 197.68/34.50  | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | |   (78)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 197.68/34.50  | | | | | | | | | | | | | | |           & op(e1, e2) = e2)
% 197.68/34.50  | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 197.68/34.50  | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | |   (79)  all_56_6 = e2 & op(e1, e3) = e2
% 197.68/34.50  | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | ALPHA: (79) implies:
% 197.68/34.50  | | | | | | | | | | | | | | | |   (80)  all_56_6 = e2
% 197.68/34.50  | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 197.68/34.50  | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | |   (81)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 197.68/34.50  | | | | | | | | | | | | | | | | |           & op(e2, e3) = e1)
% 197.68/34.50  | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (13), (14), (20), (24), (27), (28),
% 197.68/34.50  | | | | | | | | | | | | | | | | |            (30), (35), (38), (39), (44), (50), (81) are
% 197.68/34.50  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1623.
% 197.68/34.50  | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | Case 2:
% 197.68/34.50  | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 197.68/34.50  | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | Case 1:
% 197.68/34.50  | | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (76), (80) are inconsistent by sub-proof
% 197.68/34.50  | | | | | | | | | | | | | | | | | |            #1724.
% 197.68/34.50  | | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | Case 2:
% 197.68/34.50  | | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | |   (82)  all_56_12 = e1 & op(e0, e3) = e1
% 197.68/34.50  | | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | | ALPHA: (82) implies:
% 197.68/34.50  | | | | | | | | | | | | | | | | | |   (83)  all_56_12 = e1
% 197.68/34.50  | | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (33), (83) are inconsistent by sub-proof
% 197.68/34.50  | | | | | | | | | | | | | | | | | |            #1622.
% 197.68/34.50  | | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | | End of split
% 197.68/34.50  | | | | | | | | | | | | | | | | | 
% 197.68/34.50  | | | | | | | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | |   (84)  all_56_7 = e2 & op(e1, e2) = e2
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | ALPHA: (84) implies:
% 197.68/34.51  | | | | | | | | | | | | | | | |   (85)  all_56_7 = e2
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | Case 1:
% 197.68/34.51  | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | |   (86)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 197.68/34.51  | | | | | | | | | | | | | | | | |           e1 & op(e2, e0) = e1)
% 197.68/34.51  | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 197.68/34.51  | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | Case 1:
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (87)  all_56_9 = e1 & op(e3, e0) = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | ALPHA: (87) implies:
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (88)  all_56_9 = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (88) imply:
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (89)  e2 = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | SIMP: (89) implies:
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (90)  e2 = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (85), (90) imply:
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (91)  all_56_7 = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (24), (30), (35), (36), (37), (38),
% 197.68/34.51  | | | | | | | | | | | | | | | | | |            (39), (77), (91) are inconsistent by sub-proof
% 197.68/34.51  | | | | | | | | | | | | | | | | | |            #1616.
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (92)  all_56_10 = e1 & op(e2, e0) = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | ALPHA: (92) implies:
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (93)  all_56_10 = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (64), (93) are inconsistent by sub-proof
% 197.68/34.51  | | | | | | | | | | | | | | | | | |            #1742.
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | |   (94)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 197.68/34.51  | | | | | | | | | | | | | | | | |           e1 & op(e0, e0) = e1)
% 197.68/34.51  | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 197.68/34.51  | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | Case 1:
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (95)  all_56_11 = e1 & op(e1, e0) = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | ALPHA: (95) implies:
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (96)  all_56_11 = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (10), (13), (24), (27), (30), (35),
% 197.68/34.51  | | | | | | | | | | | | | | | | | |            (36), (37), (38), (39), (50), (73), (77), (96) are
% 197.68/34.51  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1606.
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (97)  all_56_15 = e1 & op(e0, e0) = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | ALPHA: (97) implies:
% 197.68/34.51  | | | | | | | | | | | | | | | | | |   (98)  op(e0, e0) = e1
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (27), (46), (98) are inconsistent by
% 197.68/34.51  | | | | | | | | | | | | | | | | | |            sub-proof #1943.
% 197.68/34.51  | | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | |   (99)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 197.68/34.51  | | | | | | | | | | | | | | |           e2 & op(e1, e0) = e2)
% 197.68/34.51  | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 197.68/34.51  | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | Case 1:
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | |   (100)  all_56_8 = e2 & op(e1, e1) = e2
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | ALPHA: (100) implies:
% 197.68/34.51  | | | | | | | | | | | | | | | |   (101)  op(e1, e1) = e2
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (24), (38), (101) are inconsistent by
% 197.68/34.51  | | | | | | | | | | | | | | | |            sub-proof #1821.
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | |   (102)  all_56_11 = e2 & op(e1, e0) = e2
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | ALPHA: (102) implies:
% 197.68/34.51  | | | | | | | | | | | | | | | |   (103)  all_56_11 = e2
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (12), (27), (30), (35), (46), (64),
% 197.68/34.51  | | | | | | | | | | | | | | | |            (103) are inconsistent by sub-proof #1604.
% 197.68/34.51  | | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | |   (104)  all_56_12 = e1 & op(e0, e3) = e1
% 197.68/34.51  | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | ALPHA: (104) implies:
% 197.68/34.51  | | | | | | | | | | | | | |   (105)  all_56_12 = e1
% 197.68/34.51  | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | | REF_CLOSE: (30), (33), (105) are inconsistent by sub-proof
% 197.68/34.51  | | | | | | | | | | | | | |            #1622.
% 197.68/34.51  | | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | 
% 197.68/34.51  | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | 
% 197.68/34.51  | | | | | | | End of split
% 197.68/34.51  | | | | | | | 
% 197.68/34.51  | | | | | | Case 2:
% 197.68/34.51  | | | | | | | 
% 197.68/34.51  | | | | | | |   (106)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 &
% 197.68/34.51  | | | | | | |            op(e0, e1) = e2)
% 197.68/34.51  | | | | | | | 
% 197.68/34.51  | | | | | | | BETA: splitting (106) gives:
% 197.68/34.51  | | | | | | | 
% 197.68/34.51  | | | | | | | Case 1:
% 197.68/34.51  | | | | | | | | 
% 197.68/34.51  | | | | | | | |   (107)  all_56_8 = e2 & op(e1, e1) = e2
% 197.68/34.51  | | | | | | | | 
% 197.68/34.51  | | | | | | | | ALPHA: (107) implies:
% 197.68/34.51  | | | | | | | |   (108)  op(e1, e1) = e2
% 197.68/34.51  | | | | | | | | 
% 197.68/34.51  | | | | | | | | REF_CLOSE: (10), (24), (38), (108) are inconsistent by sub-proof
% 197.68/34.51  | | | | | | | |            #1821.
% 197.68/34.51  | | | | | | | | 
% 197.68/34.51  | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | 
% 197.68/34.51  | | | | | | | |   (109)  all_56_14 = e2 & op(e0, e1) = e2
% 197.68/34.51  | | | | | | | | 
% 197.68/34.51  | | | | | | | | ALPHA: (109) implies:
% 197.68/34.51  | | | | | | | |   (110)  all_56_14 = e2
% 197.68/34.51  | | | | | | | | 
% 197.68/34.51  | | | | | | | | BETA: splitting (1) gives:
% 197.68/34.51  | | | | | | | | 
% 197.68/34.51  | | | | | | | | Case 1:
% 197.68/34.51  | | | | | | | | | 
% 197.68/34.51  | | | | | | | | |   (111)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3
% 197.68/34.51  | | | | | | | | |            & op(e0, e2) = e3)
% 197.68/34.51  | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | BETA: splitting (111) gives:
% 197.68/34.51  | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | Case 1:
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | |   (112)  all_56_12 = e3 & op(e0, e3) = e3
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | ALPHA: (112) implies:
% 197.68/34.51  | | | | | | | | | |   (113)  all_56_12 = e3
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | REF_CLOSE: (2), (6), (7), (9), (10), (20), (27), (30), (35),
% 197.68/34.51  | | | | | | | | | |            (38), (39), (44), (113) are inconsistent by
% 197.68/34.51  | | | | | | | | | |            sub-proof #1596.
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | |   (114)  all_56_13 = e3 & op(e0, e2) = e3
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | ALPHA: (114) implies:
% 197.68/34.51  | | | | | | | | | |   (115)  all_56_13 = e3
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | REF_CLOSE: (10), (15), (27), (30), (33), (35), (46), (110),
% 197.68/34.51  | | | | | | | | | |            (115) are inconsistent by sub-proof #1594.
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | 
% 197.68/34.51  | | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | | 
% 197.68/34.51  | | | | | | | | |   (116)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3
% 197.68/34.51  | | | | | | | | |            & op(e0, e0) = e3)
% 197.68/34.51  | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | BETA: splitting (116) gives:
% 197.68/34.51  | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | Case 1:
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | |   (117)  all_56_14 = e3 & op(e0, e1) = e3
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | REF_CLOSE: (9), (110), (117) are inconsistent by sub-proof
% 197.68/34.51  | | | | | | | | | |            #1698.
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | Case 2:
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | |   (118)  all_56_15 = e3 & op(e0, e0) = e3
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | ALPHA: (118) implies:
% 197.68/34.51  | | | | | | | | | |   (119)  op(e0, e0) = e3
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | | REF_CLOSE: (10), (39), (46), (119) are inconsistent by
% 197.68/34.51  | | | | | | | | | |            sub-proof #1947.
% 197.68/34.51  | | | | | | | | | | 
% 197.68/34.51  | | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | | 
% 197.68/34.51  | | | | | | | | End of split
% 197.68/34.51  | | | | | | | | 
% 197.68/34.51  | | | | | | | End of split
% 197.68/34.51  | | | | | | | 
% 197.68/34.51  | | | | | | End of split
% 197.68/34.51  | | | | | | 
% 197.68/34.51  | | | | | Case 2:
% 197.68/34.51  | | | | | | 
% 197.68/34.51  | | | | | |   (120)  all_56_9 = e1 & op(e3, e0) = e1
% 197.68/34.51  | | | | | | 
% 197.68/34.51  | | | | | | REF_CLOSE: (5), (30), (120) are inconsistent by sub-proof #1593.
% 197.68/34.51  | | | | | | 
% 197.68/34.51  | | | | | End of split
% 197.68/34.51  | | | | | 
% 197.68/34.51  | | | | End of split
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | Case 2:
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | |   (121)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 197.68/34.51  | | | |                e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 197.68/34.51  | | | |          ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 197.68/34.51  | | | |                e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | | ALPHA: (121) implies:
% 197.68/34.51  | | | |   (122)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 197.68/34.51  | | | |              e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | | REF_CLOSE: (8), (9), (10), (11), (16), (17), (19), (20), (22), (23),
% 197.68/34.51  | | | |            (24), (26), (30), (31), (32), (33), (34), (35), (38), (39),
% 197.68/34.51  | | | |            (122) are inconsistent by sub-proof #1583.
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | End of split
% 197.68/34.51  | | | 
% 197.68/34.51  | | End of split
% 197.68/34.51  | | 
% 197.68/34.51  | Case 2:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (123)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 197.68/34.51  | |            e0)
% 197.68/34.51  | | 
% 197.68/34.51  | | BETA: splitting (123) gives:
% 197.68/34.51  | | 
% 197.68/34.51  | | Case 1:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (124)  all_56_6 = e0 & op(e1, e3) = e0
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (124) implies:
% 197.68/34.51  | | |   (125)  all_56_6 = e0
% 197.68/34.51  | | | 
% 197.68/34.51  | | | BETA: splitting (4) gives:
% 197.68/34.51  | | | 
% 197.68/34.51  | | | Case 1:
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | |   (126)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2)
% 197.68/34.51  | | | |            = e1)
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | | REF_CLOSE: (10), (20), (21), (27), (35), (126) are inconsistent by
% 197.68/34.51  | | | |            sub-proof #1627.
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | Case 2:
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | |   (127)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0)
% 197.68/34.51  | | | |            = e1)
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | | BETA: splitting (127) gives:
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | | Case 1:
% 197.68/34.51  | | | | | 
% 197.68/34.51  | | | | |   (128)  all_56_4 = e1 & op(e3, e1) = e1
% 197.68/34.51  | | | | | 
% 197.68/34.51  | | | | | ALPHA: (128) implies:
% 197.68/34.51  | | | | |   (129)  all_56_4 = e1
% 197.68/34.51  | | | | | 
% 197.68/34.51  | | | | | REF_CLOSE: (9), (10), (13), (14), (18), (24), (27), (28), (30), (35),
% 197.68/34.51  | | | | |            (36), (37), (38), (39), (125), (129) are inconsistent by
% 197.68/34.51  | | | | |            sub-proof #1574.
% 197.68/34.51  | | | | | 
% 197.68/34.51  | | | | Case 2:
% 197.68/34.51  | | | | | 
% 197.68/34.51  | | | | |   (130)  all_56_9 = e1 & op(e3, e0) = e1
% 197.68/34.51  | | | | | 
% 197.68/34.51  | | | | | REF_CLOSE: (5), (30), (130) are inconsistent by sub-proof #1593.
% 197.68/34.51  | | | | | 
% 197.68/34.51  | | | | End of split
% 197.68/34.51  | | | | 
% 197.68/34.51  | | | End of split
% 197.68/34.51  | | | 
% 197.68/34.51  | | Case 2:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (131)  all_56_12 = e0 & op(e0, e3) = e0
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (33), (38), (131) are inconsistent by sub-proof #1592.
% 197.68/34.51  | | | 
% 197.68/34.51  | | End of split
% 197.68/34.51  | | 
% 197.68/34.51  | End of split
% 197.68/34.51  | 
% 197.68/34.51  End of proof
% 197.68/34.51  
% 197.68/34.51  Sub-proof #1574 shows that the following formulas are inconsistent:
% 197.68/34.51  ----------------------------------------------------------------
% 197.68/34.51    (1)   ~ (e3 = e2)
% 197.68/34.51    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.68/34.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.68/34.51    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.68/34.51         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.68/34.51    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.68/34.51         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.68/34.51    (5)  all_56_4 = e1
% 197.68/34.51    (6)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.68/34.51         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.68/34.51    (7)  all_56_6 = e0
% 197.68/34.51    (8)  op(e1, e1) = e0
% 197.68/34.51    (9)   ~ (e1 = e0)
% 197.68/34.51    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.68/34.51          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.68/34.51    (11)   ~ (e2 = e1)
% 197.68/34.51    (12)   ~ (e3 = e1)
% 197.68/34.51    (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.68/34.51          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.68/34.51    (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.68/34.51          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.68/34.51    (15)   ~ (e2 = e0)
% 197.68/34.51    (16)   ~ (e3 = e0)
% 197.68/34.51  
% 197.68/34.51  Begin of proof
% 197.68/34.51  | 
% 197.68/34.51  | BETA: splitting (6) gives:
% 197.68/34.51  | 
% 197.68/34.51  | Case 1:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (17)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 197.68/34.51  | |           e1)
% 197.68/34.51  | | 
% 197.68/34.51  | | BETA: splitting (17) gives:
% 197.68/34.51  | | 
% 197.68/34.51  | | Case 1:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (18)  all_56_6 = e1 & op(e1, e3) = e1
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (15),
% 197.68/34.51  | | |            (16), (18) are inconsistent by sub-proof #1582.
% 197.68/34.51  | | | 
% 197.68/34.51  | | Case 2:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (19)  all_56_7 = e1 & op(e1, e2) = e1
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (19) implies:
% 197.68/34.51  | | |   (20)  all_56_7 = e1
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (1), (2), (7), (8), (11), (12), (13), (14), (15), (16), (20)
% 197.68/34.51  | | |            are inconsistent by sub-proof #1579.
% 197.68/34.51  | | | 
% 197.68/34.51  | | End of split
% 197.68/34.51  | | 
% 197.68/34.51  | Case 2:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (21)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 197.68/34.51  | |           e1)
% 197.68/34.51  | | 
% 197.68/34.51  | | BETA: splitting (21) gives:
% 197.68/34.51  | | 
% 197.68/34.51  | | Case 1:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (22)  all_56_8 = e1 & op(e1, e1) = e1
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (22) implies:
% 197.68/34.51  | | |   (23)  op(e1, e1) = e1
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (2), (8), (9), (23) are inconsistent by sub-proof #1959.
% 197.68/34.51  | | | 
% 197.68/34.51  | | Case 2:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (24)  all_56_11 = e1 & op(e1, e0) = e1
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (24) implies:
% 197.68/34.51  | | |   (25)  all_56_11 = e1
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (1), (2), (7), (8), (11), (12), (13), (14), (15), (16), (25)
% 197.68/34.51  | | |            are inconsistent by sub-proof #1575.
% 197.68/34.51  | | | 
% 197.68/34.51  | | End of split
% 197.68/34.51  | | 
% 197.68/34.51  | End of split
% 197.68/34.51  | 
% 197.68/34.51  End of proof
% 197.68/34.51  
% 197.68/34.51  Sub-proof #1575 shows that the following formulas are inconsistent:
% 197.68/34.51  ----------------------------------------------------------------
% 197.68/34.51    (1)  all_56_11 = e1
% 197.68/34.51    (2)   ~ (e3 = e2)
% 197.68/34.51    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.68/34.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.68/34.51    (4)  all_56_6 = e0
% 197.68/34.51    (5)  op(e1, e1) = e0
% 197.68/34.51    (6)   ~ (e2 = e1)
% 197.68/34.51    (7)   ~ (e3 = e1)
% 197.68/34.51    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.68/34.51         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.68/34.51    (9)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.68/34.51         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.68/34.51    (10)   ~ (e2 = e0)
% 197.68/34.51    (11)   ~ (e3 = e0)
% 197.68/34.51  
% 197.68/34.51  Begin of proof
% 197.68/34.51  | 
% 197.68/34.51  | BETA: splitting (9) gives:
% 197.68/34.51  | 
% 197.68/34.51  | Case 1:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 197.68/34.51  | |           e3)
% 197.68/34.51  | | 
% 197.68/34.51  | | BETA: splitting (12) gives:
% 197.68/34.51  | | 
% 197.68/34.51  | | Case 1:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (13)  all_56_6 = e3 & op(e1, e3) = e3
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (4), (11), (13) are inconsistent by sub-proof #1578.
% 197.68/34.51  | | | 
% 197.68/34.51  | | Case 2:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (14)  all_56_7 = e3 & op(e1, e2) = e3
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (14) implies:
% 197.68/34.51  | | |   (15)  all_56_7 = e3
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (15) are inconsistent
% 197.68/34.51  | | |            by sub-proof #1576.
% 197.68/34.51  | | | 
% 197.68/34.51  | | End of split
% 197.68/34.51  | | 
% 197.68/34.51  | Case 2:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (16)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 197.68/34.51  | |           e3)
% 197.68/34.51  | | 
% 197.68/34.51  | | BETA: splitting (16) gives:
% 197.68/34.51  | | 
% 197.68/34.51  | | Case 1:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (17)  all_56_8 = e3 & op(e1, e1) = e3
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (17) implies:
% 197.68/34.51  | | |   (18)  op(e1, e1) = e3
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (3), (5), (11), (18) are inconsistent by sub-proof #1824.
% 197.68/34.51  | | | 
% 197.68/34.51  | | Case 2:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (19)  all_56_11 = e3 & op(e1, e0) = e3
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (1), (7), (19) are inconsistent by sub-proof #1607.
% 197.68/34.51  | | | 
% 197.68/34.51  | | End of split
% 197.68/34.51  | | 
% 197.68/34.51  | End of split
% 197.68/34.51  | 
% 197.68/34.51  End of proof
% 197.68/34.51  
% 197.68/34.51  Sub-proof #1576 shows that the following formulas are inconsistent:
% 197.68/34.51  ----------------------------------------------------------------
% 197.68/34.51    (1)  all_56_11 = e1
% 197.68/34.51    (2)   ~ (e3 = e2)
% 197.68/34.51    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.68/34.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.68/34.51    (4)  all_56_6 = e0
% 197.68/34.51    (5)  all_56_7 = e3
% 197.68/34.51    (6)  op(e1, e1) = e0
% 197.68/34.51    (7)   ~ (e2 = e1)
% 197.68/34.51    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.68/34.51         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.68/34.51    (9)   ~ (e2 = e0)
% 197.68/34.51  
% 197.68/34.51  Begin of proof
% 197.68/34.51  | 
% 197.68/34.51  | BETA: splitting (8) gives:
% 197.68/34.51  | 
% 197.68/34.51  | Case 1:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 197.68/34.51  | |           e2)
% 197.68/34.51  | | 
% 197.68/34.51  | | REF_CLOSE: (2), (4), (5), (9), (10) are inconsistent by sub-proof #1577.
% 197.68/34.51  | | 
% 197.68/34.51  | Case 2:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (11)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 197.68/34.51  | |           e2)
% 197.68/34.51  | | 
% 197.68/34.51  | | REF_CLOSE: (1), (3), (6), (7), (9), (11) are inconsistent by sub-proof
% 197.68/34.51  | |            #1614.
% 197.68/34.51  | | 
% 197.68/34.51  | End of split
% 197.68/34.51  | 
% 197.68/34.51  End of proof
% 197.68/34.51  
% 197.68/34.51  Sub-proof #1577 shows that the following formulas are inconsistent:
% 197.68/34.51  ----------------------------------------------------------------
% 197.68/34.51    (1)   ~ (e3 = e2)
% 197.68/34.51    (2)  all_56_6 = e0
% 197.68/34.51    (3)  all_56_7 = e3
% 197.68/34.51    (4)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 197.68/34.51    (5)   ~ (e2 = e0)
% 197.68/34.51  
% 197.68/34.51  Begin of proof
% 197.68/34.51  | 
% 197.68/34.51  | BETA: splitting (4) gives:
% 197.68/34.51  | 
% 197.68/34.51  | Case 1:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (6)  all_56_6 = e2 & op(e1, e3) = e2
% 197.68/34.51  | | 
% 197.68/34.51  | | ALPHA: (6) implies:
% 197.68/34.51  | |   (7)  all_56_6 = e2
% 197.68/34.51  | | 
% 197.68/34.51  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #1849.
% 197.68/34.51  | | 
% 197.68/34.51  | Case 2:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (8)  all_56_7 = e2 & op(e1, e2) = e2
% 197.68/34.51  | | 
% 197.68/34.51  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #1925.
% 197.68/34.51  | | 
% 197.68/34.51  | End of split
% 197.68/34.51  | 
% 197.68/34.51  End of proof
% 197.68/34.51  
% 197.68/34.51  Sub-proof #1578 shows that the following formulas are inconsistent:
% 197.68/34.51  ----------------------------------------------------------------
% 197.68/34.51    (1)  all_56_6 = e3 & op(e1, e3) = e3
% 197.68/34.51    (2)  all_56_6 = e0
% 197.68/34.51    (3)   ~ (e3 = e0)
% 197.68/34.51  
% 197.68/34.51  Begin of proof
% 197.68/34.51  | 
% 197.68/34.51  | ALPHA: (1) implies:
% 197.68/34.51  |   (4)  all_56_6 = e3
% 197.68/34.51  | 
% 197.68/34.51  | COMBINE_EQS: (2), (4) imply:
% 197.68/34.51  |   (5)  e3 = e0
% 197.68/34.51  | 
% 197.68/34.51  | REDUCE: (3), (5) imply:
% 197.68/34.51  |   (6)  $false
% 197.68/34.51  | 
% 197.68/34.51  | CLOSE: (6) is inconsistent.
% 197.68/34.51  | 
% 197.68/34.51  End of proof
% 197.68/34.51  
% 197.68/34.51  Sub-proof #1579 shows that the following formulas are inconsistent:
% 197.68/34.51  ----------------------------------------------------------------
% 197.68/34.51    (1)   ~ (e3 = e2)
% 197.68/34.51    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.68/34.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.68/34.51    (3)  all_56_7 = e1
% 197.68/34.51    (4)  all_56_6 = e0
% 197.68/34.51    (5)  op(e1, e1) = e0
% 197.68/34.51    (6)   ~ (e2 = e1)
% 197.68/34.51    (7)   ~ (e3 = e1)
% 197.68/34.51    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.68/34.51         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.68/34.51    (9)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.68/34.51         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.68/34.51    (10)   ~ (e2 = e0)
% 197.68/34.51    (11)   ~ (e3 = e0)
% 197.68/34.51  
% 197.68/34.51  Begin of proof
% 197.68/34.51  | 
% 197.68/34.51  | BETA: splitting (8) gives:
% 197.68/34.51  | 
% 197.68/34.51  | Case 1:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (12)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 197.68/34.51  | |           e2)
% 197.68/34.51  | | 
% 197.68/34.51  | | BETA: splitting (12) gives:
% 197.68/34.51  | | 
% 197.68/34.51  | | Case 1:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (13)  all_56_6 = e2 & op(e1, e3) = e2
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (13) implies:
% 197.68/34.51  | | |   (14)  all_56_6 = e2
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (4), (10), (14) are inconsistent by sub-proof #1849.
% 197.68/34.51  | | | 
% 197.68/34.51  | | Case 2:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (15)  all_56_7 = e2 & op(e1, e2) = e2
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (3), (6), (15) are inconsistent by sub-proof #1906.
% 197.68/34.51  | | | 
% 197.68/34.51  | | End of split
% 197.68/34.51  | | 
% 197.68/34.51  | Case 2:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (16)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 197.68/34.51  | |           e2)
% 197.68/34.51  | | 
% 197.68/34.51  | | BETA: splitting (16) gives:
% 197.68/34.51  | | 
% 197.68/34.51  | | Case 1:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (17)  all_56_8 = e2 & op(e1, e1) = e2
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (17) implies:
% 197.68/34.51  | | |   (18)  op(e1, e1) = e2
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (2), (5), (10), (18) are inconsistent by sub-proof #1821.
% 197.68/34.51  | | | 
% 197.68/34.51  | | Case 2:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (19)  all_56_11 = e2 & op(e1, e0) = e2
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (19) implies:
% 197.68/34.51  | | |   (20)  all_56_11 = e2
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (11), (20) are inconsistent
% 197.68/34.51  | | |            by sub-proof #1580.
% 197.68/34.51  | | | 
% 197.68/34.51  | | End of split
% 197.68/34.51  | | 
% 197.68/34.51  | End of split
% 197.68/34.51  | 
% 197.68/34.51  End of proof
% 197.68/34.51  
% 197.68/34.51  Sub-proof #1580 shows that the following formulas are inconsistent:
% 197.68/34.51  ----------------------------------------------------------------
% 197.68/34.51    (1)   ~ (e3 = e2)
% 197.68/34.51    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.68/34.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.68/34.51    (3)  all_56_7 = e1
% 197.68/34.51    (4)  all_56_11 = e2
% 197.68/34.51    (5)  all_56_6 = e0
% 197.68/34.51    (6)  op(e1, e1) = e0
% 197.68/34.51    (7)   ~ (e3 = e1)
% 197.68/34.51    (8)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.68/34.51         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.68/34.51    (9)   ~ (e3 = e0)
% 197.68/34.51  
% 197.68/34.51  Begin of proof
% 197.68/34.51  | 
% 197.68/34.51  | BETA: splitting (8) gives:
% 197.68/34.51  | 
% 197.68/34.51  | Case 1:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 197.68/34.51  | |           e3)
% 197.68/34.51  | | 
% 197.68/34.51  | | BETA: splitting (10) gives:
% 197.68/34.51  | | 
% 197.68/34.51  | | Case 1:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (11)  all_56_6 = e3 & op(e1, e3) = e3
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (11) implies:
% 197.68/34.51  | | |   (12)  all_56_6 = e3
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (5), (9), (12) are inconsistent by sub-proof #1581.
% 197.68/34.51  | | | 
% 197.68/34.51  | | Case 2:
% 197.68/34.51  | | | 
% 197.68/34.51  | | |   (13)  all_56_7 = e3 & op(e1, e2) = e3
% 197.68/34.51  | | | 
% 197.68/34.51  | | | ALPHA: (13) implies:
% 197.68/34.51  | | |   (14)  all_56_7 = e3
% 197.68/34.51  | | | 
% 197.68/34.51  | | | REF_CLOSE: (3), (7), (14) are inconsistent by sub-proof #1907.
% 197.68/34.51  | | | 
% 197.68/34.51  | | End of split
% 197.68/34.51  | | 
% 197.68/34.51  | Case 2:
% 197.68/34.51  | | 
% 197.68/34.51  | |   (15)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 197.68/34.51  | |           e3)
% 197.68/34.51  | | 
% 197.68/34.51  | | REF_CLOSE: (1), (2), (4), (6), (9), (15) are inconsistent by sub-proof
% 197.68/34.51  | |            #1618.
% 197.68/34.51  | | 
% 197.68/34.51  | End of split
% 197.68/34.51  | 
% 197.68/34.51  End of proof
% 197.68/34.51  
% 197.68/34.51  Sub-proof #1581 shows that the following formulas are inconsistent:
% 197.68/34.51  ----------------------------------------------------------------
% 197.68/34.51    (1)  all_56_6 = e3
% 197.68/34.51    (2)  all_56_6 = e0
% 197.68/34.51    (3)   ~ (e3 = e0)
% 197.68/34.51  
% 197.68/34.51  Begin of proof
% 197.68/34.51  | 
% 197.68/34.51  | COMBINE_EQS: (1), (2) imply:
% 197.68/34.51  |   (4)  e3 = e0
% 197.68/34.51  | 
% 197.68/34.51  | SIMP: (4) implies:
% 197.68/34.51  |   (5)  e3 = e0
% 197.68/34.51  | 
% 197.68/34.51  | REDUCE: (3), (5) imply:
% 197.68/34.51  |   (6)  $false
% 197.68/34.51  | 
% 197.68/34.51  | CLOSE: (6) is inconsistent.
% 197.68/34.51  | 
% 197.68/34.51  End of proof
% 197.68/34.51  
% 197.68/34.51  Sub-proof #1582 shows that the following formulas are inconsistent:
% 197.68/34.51  ----------------------------------------------------------------
% 197.68/34.51    (1)   ~ (e3 = e2)
% 197.68/34.51    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.68/34.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.68/34.51    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.68/34.51         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.68/34.51    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.68/34.51         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.68/34.51    (5)  all_56_6 = e1 & op(e1, e3) = e1
% 197.68/34.51    (6)  all_56_4 = e1
% 197.68/34.51    (7)  all_56_6 = e0
% 197.68/34.51    (8)  op(e1, e1) = e0
% 197.68/34.51    (9)   ~ (e1 = e0)
% 197.68/34.51    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.68/34.51          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.68/34.51    (11)   ~ (e2 = e1)
% 197.68/34.51    (12)   ~ (e3 = e1)
% 197.68/34.51    (13)   ~ (e2 = e0)
% 197.68/34.51    (14)   ~ (e3 = e0)
% 197.68/34.51  
% 197.68/34.51  Begin of proof
% 197.68/34.51  | 
% 197.68/34.51  | ALPHA: (5) implies:
% 197.68/34.51  |   (15)  all_56_6 = e1
% 197.68/34.51  | 
% 197.68/34.51  | COMBINE_EQS: (7), (15) imply:
% 197.68/34.51  |   (16)  e1 = e0
% 197.68/34.51  | 
% 197.68/34.51  | COMBINE_EQS: (6), (16) imply:
% 197.68/34.51  |   (17)  all_56_4 = e0
% 197.68/34.51  | 
% 197.68/34.51  | REF_CLOSE: (1), (2), (3), (4), (8), (9), (10), (11), (12), (13), (14), (17)
% 197.68/34.51  |            are inconsistent by sub-proof #1809.
% 197.68/34.51  | 
% 197.68/34.51  End of proof
% 197.68/34.51  
% 197.68/34.51  Sub-proof #1583 shows that the following formulas are inconsistent:
% 197.68/34.51  ----------------------------------------------------------------
% 197.68/34.51    (1)   ~ (all_52_13 = e2)
% 197.68/34.51    (2)   ~ (e3 = e2)
% 197.68/34.51    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.68/34.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.68/34.51    (4)  op(e2, e2) = all_4_2
% 197.68/34.51    (5)  op(e2, e0) = all_52_13
% 197.68/34.52    (6)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.68/34.52             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.68/34.52           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.68/34.52           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.68/34.52           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.68/34.52           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.68/34.52           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.68/34.52           = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 197.68/34.52           & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 197.68/34.52           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 197.68/34.52           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.68/34.52           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &
% 197.68/34.52            ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1,
% 197.68/34.52             e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.68/34.52         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.68/34.52             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.68/34.52           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4
% 197.68/34.52           = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.68/34.52           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 & op(e1, e1)
% 197.68/34.52           = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.68/34.52           all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2)
% 197.68/34.52           = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2
% 197.68/34.52           & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 197.68/34.52           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 197.68/34.52             e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.68/34.52           $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &
% 197.68/34.52            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0,
% 197.68/34.52             e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 197.68/34.52         (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.68/34.52             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.68/34.52           all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7
% 197.68/34.52           = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 197.68/34.52           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 197.68/34.52           op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 197.68/34.52           all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3)
% 197.68/34.52           = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) =
% 197.68/34.52           all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14
% 197.68/34.52           = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.68/34.52           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13
% 197.68/34.52           & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 & 
% 197.68/34.52           ~ (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 197.68/34.52           = all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.68/34.52           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.68/34.52           &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.68/34.52           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.68/34.52           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0)
% 197.68/34.52           &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.68/34.52           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.68/34.52           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2)
% 197.68/34.52           &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.68/34.52           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.68/34.52           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 =
% 197.68/34.52               e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.68/34.52               op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.68/34.52               $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.68/34.52                 e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.68/34.52               e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.68/34.52               e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.68/34.52               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5
% 197.68/34.52               = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 197.68/34.52               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.68/34.52               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 197.68/34.52                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.68/34.52               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.68/34.52               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 197.68/34.52                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.68/34.52               $i(all_57_7))))
% 197.68/34.52    (7)  op(e0, e1) = all_52_11
% 197.68/34.52    (8)  op(e3, e3) = e3
% 197.68/34.52    (9)   ~ (all_52_12 = e3)
% 197.68/34.52    (10)   ~ (all_4_2 = e1)
% 197.68/34.52    (11)  op(e1, e1) = e0
% 197.68/34.52    (12)   ~ (all_4_2 = e3)
% 197.68/34.52    (13)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.68/34.52          | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.68/34.52    (14)   ~ (e2 = e1)
% 197.68/34.52    (15)   ~ (all_52_11 = e0)
% 197.68/34.52    (16)  op(e3, e0) = all_52_12
% 197.68/34.52    (17)  all_56_12 = e2
% 197.68/34.52    (18)  op(e0, e0) = e2
% 197.68/34.52    (19)   ~ (e3 = e1)
% 197.68/34.52    (20)   ~ (e2 = e0)
% 197.68/34.52    (21)   ~ (e3 = e0)
% 197.68/34.52  
% 197.68/34.52  Begin of proof
% 197.68/34.52  | 
% 197.68/34.52  | BETA: splitting (13) gives:
% 197.68/34.52  | 
% 197.68/34.52  | Case 1:
% 197.68/34.52  | | 
% 197.68/34.52  | |   (22)  all_56_12 = e0 & op(e0, e3) = e0
% 197.68/34.52  | | 
% 197.68/34.52  | | REF_CLOSE: (17), (20), (22) are inconsistent by sub-proof #1592.
% 197.68/34.52  | | 
% 197.68/34.52  | Case 2:
% 197.68/34.52  | | 
% 197.68/34.52  | |   (23)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.68/34.52  | |           e0)
% 197.68/34.52  | | 
% 197.68/34.52  | | BETA: splitting (23) gives:
% 197.68/34.52  | | 
% 197.68/34.52  | | Case 1:
% 197.68/34.52  | | | 
% 197.68/34.52  | | |   (24)  all_56_13 = e0 & op(e0, e2) = e0
% 197.68/34.52  | | | 
% 197.68/34.52  | | | ALPHA: (24) implies:
% 197.68/34.52  | | |   (25)  op(e0, e2) = e0
% 197.68/34.52  | | | 
% 197.68/34.52  | | | BETA: splitting (6) gives:
% 197.68/34.52  | | | 
% 197.68/34.52  | | | Case 1:
% 197.68/34.52  | | | | 
% 197.69/34.52  | | | |   (26)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.69/34.52  | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.69/34.52  | | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.69/34.52  | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 197.69/34.52  | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.69/34.52  | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) =
% 197.69/34.52  | | | |           e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.69/34.52  | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 197.69/34.52  | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.69/34.52  | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.69/34.52  | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.69/34.52  | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.69/34.52  | | | |           op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.69/34.52  | | | |           $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.69/34.52  | | | |           (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 197.69/34.52  | | | |           & op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.69/34.52  | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 =
% 197.69/34.52  | | | |           e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.69/34.52  | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 197.69/34.52  | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 197.69/34.52  | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.69/34.52  | | | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.69/34.52  | | | |           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.69/34.52  | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.69/34.52  | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.69/34.52  | | | |           op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.69/34.52  | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 197.69/34.52  | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 197.69/34.52  | | | |           & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.69/34.52  | | | |           $i(all_57_7) & $i(all_57_10))
% 197.69/34.52  | | | | 
% 197.69/34.52  | | | | BETA: splitting (26) gives:
% 197.69/34.52  | | | | 
% 197.69/34.52  | | | | Case 1:
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | |   (27)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.69/34.52  | | | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12
% 197.69/34.52  | | | | |           & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.69/34.52  | | | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~
% 197.69/34.52  | | | | |           (all_57_2 = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.69/34.52  | | | | |           op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0)
% 197.69/34.52  | | | | |           = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.69/34.52  | | | | |           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) &
% 197.69/34.52  | | | | |           op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.69/34.52  | | | | |           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.69/34.52  | | | | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.69/34.52  | | | | |           (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 197.69/34.52  | | | | |           & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.69/34.52  | | | | |           $i(all_57_14))
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | | REF_CLOSE: (2), (3), (4), (11), (12), (18), (21), (27) are
% 197.69/34.52  | | | | |            inconsistent by sub-proof #1590.
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | Case 2:
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | |   (28)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.69/34.52  | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3
% 197.69/34.52  | | | | |           & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.69/34.52  | | | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.69/34.52  | | | | |           (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.69/34.52  | | | | |           all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0,
% 197.69/34.52  | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1
% 197.69/34.52  | | | | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2)
% 197.69/34.52  | | | | |           & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1
% 197.69/34.52  | | | | |           & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.69/34.52  | | | | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.69/34.52  | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14
% 197.69/34.52  | | | | |           & op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.69/34.52  | | | | |           $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~
% 197.69/34.52  | | | | |           (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.69/34.52  | | | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.69/34.52  | | | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | | BETA: splitting (28) gives:
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | | Case 1:
% 197.69/34.52  | | | | | | 
% 197.69/34.52  | | | | | |   (29)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.69/34.52  | | | | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 197.69/34.52  | | | | | |           e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.69/34.52  | | | | | |           $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15
% 197.69/34.52  | | | | | |           = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3,
% 197.69/34.52  | | | | | |             e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.69/34.52  | | | | | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 197.69/34.52  | | | | | | 
% 197.69/34.52  | | | | | | REF_CLOSE: (3), (11), (20), (25), (29) are inconsistent by sub-proof
% 197.69/34.52  | | | | | |            #1588.
% 197.69/34.52  | | | | | | 
% 197.69/34.52  | | | | | Case 2:
% 197.69/34.52  | | | | | | 
% 197.69/34.52  | | | | | |   (30)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.69/34.52  | | | | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 197.69/34.52  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 197.69/34.52  | | | | | |           & $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 197.69/34.52  | | | | | |           (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.69/34.52  | | | | | |           op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.69/34.52  | | | | | |             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 197.69/34.52  | | | | | |           e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.69/34.52  | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2,
% 197.69/34.52  | | | | | |             e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.69/34.52  | | | | | |           $i(all_57_10))
% 197.69/34.52  | | | | | | 
% 197.69/34.52  | | | | | | BETA: splitting (30) gives:
% 197.69/34.52  | | | | | | 
% 197.69/34.52  | | | | | | Case 1:
% 197.69/34.52  | | | | | | | 
% 197.69/34.52  | | | | | | |   (31)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.69/34.52  | | | | | | |         (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3
% 197.69/34.52  | | | | | | |         & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3)
% 197.69/34.52  | | | | | | |         & $i(all_57_14)
% 197.69/34.52  | | | | | | | 
% 197.69/34.52  | | | | | | | ALPHA: (31) implies:
% 197.69/34.52  | | | | | | |   (32)  op(e3, e3) = e2
% 197.69/34.52  | | | | | | | 
% 197.69/34.52  | | | | | | | REF_CLOSE: (2), (3), (8), (32) are inconsistent by sub-proof
% 197.69/34.52  | | | | | | |            #1957.
% 197.69/34.52  | | | | | | | 
% 197.69/34.52  | | | | | | Case 2:
% 197.69/34.52  | | | | | | | 
% 197.69/34.52  | | | | | | |   (33)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.69/34.52  | | | | | | |           (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 197.69/34.52  | | | | | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.69/34.52  | | | | | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 &
% 197.69/34.52  | | | | | | |           all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.69/34.52  | | | | | | |             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.69/34.52  | | | | | | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.69/34.52  | | | | | | |           $i(all_57_10))
% 197.69/34.52  | | | | | | | 
% 197.69/34.52  | | | | | | | REF_CLOSE: (3), (4), (10), (25), (33) are inconsistent by
% 197.69/34.52  | | | | | | |            sub-proof #1587.
% 197.69/34.52  | | | | | | | 
% 197.69/34.52  | | | | | | End of split
% 197.69/34.52  | | | | | | 
% 197.69/34.52  | | | | | End of split
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | End of split
% 197.69/34.52  | | | | 
% 197.69/34.52  | | | Case 2:
% 197.69/34.52  | | | | 
% 197.69/34.52  | | | |   (34)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.69/34.52  | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.69/34.52  | | | |           op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.69/34.52  | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 197.69/34.52  | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 197.69/34.52  | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) =
% 197.69/34.52  | | | |           e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.69/34.52  | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 197.69/34.52  | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.69/34.52  | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.69/34.52  | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.69/34.52  | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.69/34.52  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.69/34.52  | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.69/34.52  | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.69/34.52  | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.69/34.52  | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0 &
% 197.69/34.52  | | | |           all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 = e0) &
% 197.69/34.52  | | | |           op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 197.69/34.52  | | | |           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.69/34.52  | | | |         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 197.69/34.52  | | | |           (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.69/34.52  | | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.69/34.52  | | | |           $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 197.69/34.52  | | | |           (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.69/34.52  | | | |           all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 197.69/34.52  | | | |           all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0 &
% 197.69/34.52  | | | |           all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.69/34.52  | | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 197.69/34.52  | | | |           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 197.69/34.52  | | | |         (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.69/34.52  | | | |               all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3)
% 197.69/34.52  | | | |               & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.69/34.52  | | | |               e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.69/34.52  | | | |               (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.69/34.52  | | | |               all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.69/34.52  | | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.69/34.52  | | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.69/34.52  | | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.69/34.52  | | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.69/34.52  | | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2
% 197.69/34.52  | | | |               & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.69/34.52  | | | |               all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1)
% 197.69/34.52  | | | |               & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 197.69/34.52  | | | |               e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.69/34.52  | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.69/34.52  | | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.69/34.52  | | | | 
% 197.69/34.52  | | | | BETA: splitting (34) gives:
% 197.69/34.52  | | | | 
% 197.69/34.52  | | | | Case 1:
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | |   (35)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.69/34.52  | | | | |           (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3
% 197.69/34.52  | | | | |           & op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.69/34.52  | | | | |           $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~
% 197.69/34.52  | | | | |           (all_57_6 = e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 197.69/34.52  | | | | |           op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1)
% 197.69/34.52  | | | | |           = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.69/34.52  | | | | |           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) &
% 197.69/34.52  | | | | |           op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.69/34.52  | | | | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.69/34.52  | | | | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.69/34.52  | | | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3
% 197.69/34.52  | | | | |           & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.69/34.52  | | | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.69/34.52  | | | | |           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) =
% 197.69/34.52  | | | | |           all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.69/34.52  | | | | |           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | | REF_CLOSE: (3), (8), (9), (14), (16), (18), (19), (35) are
% 197.69/34.52  | | | | |            inconsistent by sub-proof #1585.
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | Case 2:
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | |   (36)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.69/34.52  | | | | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.69/34.52  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.69/34.52  | | | | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~
% 197.69/34.52  | | | | |           (all_57_9 = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 &
% 197.69/34.52  | | | | |           op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0)
% 197.69/34.52  | | | | |           = e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 = e2 &
% 197.69/34.52  | | | | |           all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 197.69/34.52  | | | | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.69/34.52  | | | | |           op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.69/34.52  | | | | |         (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.69/34.52  | | | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.69/34.52  | | | | |           & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.69/34.52  | | | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.69/34.52  | | | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.69/34.52  | | | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) =
% 197.69/34.52  | | | | |               e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.69/34.52  | | | | |               all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.69/34.52  | | | | |                 e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.69/34.52  | | | | |                 e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.69/34.52  | | | | |               = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3,
% 197.69/34.52  | | | | |                 e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.69/34.52  | | | | |               $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 197.69/34.52  | | | | |               (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.69/34.52  | | | | |               all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.69/34.52  | | | | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.69/34.52  | | | | |               (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 197.69/34.52  | | | | |               & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.69/34.52  | | | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.69/34.52  | | | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 197.69/34.52  | | | | |               & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.52  | | | | |               $i(all_57_7))))
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (11), (12), (15), (19),
% 197.69/34.52  | | | | |            (20), (21), (36) are inconsistent by sub-proof #1584.
% 197.69/34.52  | | | | | 
% 197.69/34.52  | | | | End of split
% 197.69/34.52  | | | | 
% 197.69/34.52  | | | End of split
% 197.69/34.52  | | | 
% 197.69/34.52  | | Case 2:
% 197.69/34.52  | | | 
% 197.69/34.52  | | |   (37)  all_56_14 = e0 & op(e0, e1) = e0
% 197.69/34.52  | | | 
% 197.69/34.52  | | | ALPHA: (37) implies:
% 197.69/34.52  | | |   (38)  op(e0, e1) = e0
% 197.69/34.52  | | | 
% 197.69/34.52  | | | REF_CLOSE: (3), (7), (15), (38) are inconsistent by sub-proof #1931.
% 197.69/34.52  | | | 
% 197.69/34.52  | | End of split
% 197.69/34.52  | | 
% 197.69/34.52  | End of split
% 197.69/34.52  | 
% 197.69/34.52  End of proof
% 197.69/34.52  
% 197.69/34.52  Sub-proof #1584 shows that the following formulas are inconsistent:
% 197.69/34.52  ----------------------------------------------------------------
% 197.69/34.52    (1)   ~ (all_52_13 = e2)
% 197.69/34.52    (2)   ~ (e3 = e2)
% 197.69/34.52    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.52    (4)  op(e2, e2) = all_4_2
% 197.69/34.52    (5)  op(e2, e0) = all_52_13
% 197.69/34.52    (6)  op(e0, e1) = all_52_11
% 197.69/34.52    (7)  op(e3, e3) = e3
% 197.69/34.52    (8)  op(e1, e1) = e0
% 197.69/34.52    (9)   ~ (all_4_2 = e3)
% 197.69/34.52    (10)   ~ (all_52_11 = e0)
% 197.69/34.52    (11)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 197.69/34.52              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 197.69/34.52            all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.69/34.52          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 197.69/34.52              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 197.69/34.52            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 197.69/34.52          (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 =
% 197.69/34.52              e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.69/34.52            op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 =
% 197.69/34.52            e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.69/34.52            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 197.69/34.52            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.69/34.52            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 197.69/34.52                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.69/34.52                op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.69/34.52                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.69/34.52                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.69/34.52                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.69/34.52                  e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.69/34.52                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.69/34.52                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 197.69/34.52                  e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.69/34.52                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 197.69/34.52                  e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.69/34.52                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.69/34.52                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 197.69/34.52                  e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.52                $i(all_57_7))))
% 197.69/34.52    (12)   ~ (e3 = e1)
% 197.69/34.52    (13)   ~ (e2 = e0)
% 197.69/34.52    (14)   ~ (e3 = e0)
% 197.69/34.52  
% 197.69/34.52  Begin of proof
% 197.69/34.52  | 
% 197.69/34.52  | BETA: splitting (11) gives:
% 197.69/34.52  | 
% 197.69/34.52  | Case 1:
% 197.69/34.52  | | 
% 197.69/34.52  | |   (15)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.69/34.52  | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.69/34.52  | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.69/34.52  | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 197.69/34.52  | |             e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.69/34.52  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 197.69/34.52  | |           & $i(all_57_14))
% 197.69/34.52  | | 
% 197.69/34.52  | | REF_CLOSE: (3), (7), (14), (15) are inconsistent by sub-proof #1960.
% 197.69/34.52  | | 
% 197.69/34.52  | Case 2:
% 197.69/34.52  | | 
% 197.69/34.52  | |   (16)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.69/34.52  | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.69/34.52  | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.69/34.52  | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11
% 197.69/34.52  | |             = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.69/34.52  | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.69/34.52  | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 197.69/34.52  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.69/34.52  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 197.69/34.52  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.69/34.52  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.69/34.52  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.69/34.52  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.69/34.52  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.69/34.52  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.69/34.52  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 197.69/34.52  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.69/34.52  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.69/34.52  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.69/34.52  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.69/34.52  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.69/34.52  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.52  | |               $i(all_57_7))))
% 197.69/34.52  | | 
% 197.69/34.52  | | BETA: splitting (16) gives:
% 197.69/34.52  | | 
% 197.69/34.52  | | Case 1:
% 197.69/34.52  | | | 
% 197.69/34.52  | | |   (17)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.69/34.52  | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.69/34.52  | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.69/34.52  | | |         $i(all_57_13)
% 197.69/34.52  | | | 
% 197.69/34.52  | | | ALPHA: (17) implies:
% 197.69/34.52  | | |   (18)  op(e2, e0) = e2
% 197.69/34.52  | | | 
% 197.69/34.52  | | | REF_CLOSE: (1), (3), (5), (18) are inconsistent by sub-proof #1662.
% 197.69/34.52  | | | 
% 197.69/34.52  | | Case 2:
% 197.69/34.52  | | | 
% 197.69/34.52  | | |   (19)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.69/34.52  | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.69/34.52  | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.69/34.52  | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.69/34.52  | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.69/34.52  | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.69/34.52  | | |               op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 197.69/34.52  | | |               = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3)
% 197.69/34.52  | | |               = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.69/34.52  | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.69/34.52  | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.69/34.52  | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.69/34.52  | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.69/34.52  | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.69/34.52  | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 197.69/34.52  | | |               = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.69/34.52  | | |               = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.69/34.52  | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.69/34.52  | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.69/34.52  | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.69/34.52  | | | 
% 197.69/34.52  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (12), (13), (14), (19)
% 197.69/34.52  | | |            are inconsistent by sub-proof #1629.
% 197.69/34.52  | | | 
% 197.69/34.52  | | End of split
% 197.69/34.52  | | 
% 197.69/34.52  | End of split
% 197.69/34.52  | 
% 197.69/34.52  End of proof
% 197.69/34.52  
% 197.69/34.52  Sub-proof #1585 shows that the following formulas are inconsistent:
% 197.69/34.52  ----------------------------------------------------------------
% 197.69/34.52    (1)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.69/34.52             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.69/34.52           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 197.69/34.52           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.69/34.52           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.69/34.52           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.69/34.52           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 197.69/34.52           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 197.69/34.52           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 197.69/34.52           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 197.69/34.52           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.69/34.52           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.69/34.52           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 197.69/34.52           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.69/34.52           $i(all_57_10) & $i(all_57_13))
% 197.69/34.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.52    (3)  op(e3, e3) = e3
% 197.69/34.52    (4)   ~ (all_52_12 = e3)
% 197.69/34.52    (5)   ~ (e2 = e1)
% 197.69/34.52    (6)  op(e3, e0) = all_52_12
% 197.69/34.52    (7)  op(e0, e0) = e2
% 197.69/34.52    (8)   ~ (e3 = e1)
% 197.69/34.52  
% 197.69/34.52  Begin of proof
% 197.69/34.52  | 
% 197.69/34.52  | BETA: splitting (1) gives:
% 197.69/34.52  | 
% 197.69/34.52  | Case 1:
% 197.69/34.52  | | 
% 197.69/34.52  | |   (9)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 197.69/34.52  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.69/34.52  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 197.69/34.52  | |        (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 197.69/34.52  | |            = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.69/34.52  | |          all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 197.69/34.52  | | 
% 197.69/34.52  | | REF_CLOSE: (2), (3), (5), (7), (8), (9) are inconsistent by sub-proof #1586.
% 197.69/34.52  | | 
% 197.69/34.52  | Case 2:
% 197.69/34.52  | | 
% 197.69/34.52  | |   (10)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 197.69/34.52  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.69/34.52  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.69/34.52  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.69/34.52  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.69/34.52  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.69/34.52  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 197.69/34.52  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 197.69/34.52  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.69/34.52  | |           $i(all_57_13))
% 197.69/34.52  | | 
% 197.69/34.52  | | BETA: splitting (10) gives:
% 197.69/34.52  | | 
% 197.69/34.52  | | Case 1:
% 197.69/34.52  | | | 
% 197.69/34.52  | | |   (11)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.69/34.52  | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.69/34.52  | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.69/34.52  | | |         $i(all_57_12)
% 197.69/34.52  | | | 
% 197.69/34.52  | | | ALPHA: (11) implies:
% 197.69/34.52  | | |   (12)  op(e0, e0) = e1
% 197.69/34.52  | | | 
% 197.69/34.52  | | | REF_CLOSE: (2), (5), (7), (12) are inconsistent by sub-proof #1780.
% 197.69/34.52  | | | 
% 197.69/34.52  | | Case 2:
% 197.69/34.52  | | | 
% 197.69/34.52  | | |   (13)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.69/34.52  | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.69/34.52  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.69/34.52  | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10
% 197.69/34.52  | | |             = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 197.69/34.52  | | |             e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.69/34.52  | | |           $i(all_57_10) & $i(all_57_13))
% 197.69/34.52  | | | 
% 197.69/34.52  | | | REF_CLOSE: (2), (4), (6), (13) are inconsistent by sub-proof #1963.
% 197.69/34.52  | | | 
% 197.69/34.52  | | End of split
% 197.69/34.52  | | 
% 197.69/34.52  | End of split
% 197.69/34.52  | 
% 197.69/34.52  End of proof
% 197.69/34.52  
% 197.69/34.52  Sub-proof #1586 shows that the following formulas are inconsistent:
% 197.69/34.52  ----------------------------------------------------------------
% 197.69/34.52    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.52    (2)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.69/34.52             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.69/34.52           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 197.69/34.52           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.69/34.52           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.69/34.52           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 197.69/34.52    (3)  op(e3, e3) = e3
% 197.69/34.52    (4)   ~ (e2 = e1)
% 197.69/34.52    (5)  op(e0, e0) = e2
% 197.69/34.52    (6)   ~ (e3 = e1)
% 197.69/34.52  
% 197.69/34.52  Begin of proof
% 197.69/34.52  | 
% 197.69/34.52  | BETA: splitting (2) gives:
% 197.69/34.52  | 
% 197.69/34.52  | Case 1:
% 197.69/34.52  | | 
% 197.69/34.52  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.69/34.52  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.69/34.52  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 197.69/34.52  | | 
% 197.69/34.53  | | ALPHA: (7) implies:
% 197.69/34.53  | |   (8)  op(e0, e0) = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1780.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.69/34.53  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.69/34.53  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (9) implies:
% 197.69/34.53  | |   (10)  op(e3, e3) = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1966.
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1587 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (2)  op(e2, e2) = all_4_2
% 197.69/34.53    (3)  op(e0, e2) = e0
% 197.69/34.53    (4)   ~ (all_4_2 = e1)
% 197.69/34.53    (5)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 197.69/34.53             e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.69/34.53           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6
% 197.69/34.53           = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) &
% 197.69/34.53           op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1)
% 197.69/34.53           = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (5) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (6)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 =
% 197.69/34.53  | |          e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.69/34.53  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (6) implies:
% 197.69/34.53  | |   (7)   ~ (all_57_5 = e0)
% 197.69/34.53  | |   (8)  op(e0, e2) = all_57_5
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (3), (7), (8) are inconsistent by sub-proof #1589.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (9)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 =
% 197.69/34.53  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 197.69/34.53  | |        op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10)
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (9) implies:
% 197.69/34.53  | |   (10)  op(e2, e2) = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1969.
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1588 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.69/34.53             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.69/34.53           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 197.69/34.53           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.69/34.53           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 197.69/34.53           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 197.69/34.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (3)  op(e0, e2) = e0
% 197.69/34.53    (4)  op(e1, e1) = e0
% 197.69/34.53    (5)   ~ (e2 = e0)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (1) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (6)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.69/34.53  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.69/34.53  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (6) implies:
% 197.69/34.53  | |   (7)  op(e1, e1) = e2
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1821.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (8)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.69/34.53  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.69/34.53  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (8) implies:
% 197.69/34.53  | |   (9)   ~ (all_57_5 = e0)
% 197.69/34.53  | |   (10)  op(e0, e2) = all_57_5
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (2), (3), (9), (10) are inconsistent by sub-proof #1589.
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1589 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (2)  op(e0, e2) = all_57_5
% 197.69/34.53    (3)  op(e0, e2) = e0
% 197.69/34.53    (4)   ~ (all_57_5 = e0)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | GROUND_INST: instantiating (1) with e0, all_57_5, e2, e0, simplifying with
% 197.69/34.53  |              (2), (3) gives:
% 197.69/34.53  |   (5)  all_57_5 = e0
% 197.69/34.53  | 
% 197.69/34.53  | REDUCE: (4), (5) imply:
% 197.69/34.53  |   (6)  $false
% 197.69/34.53  | 
% 197.69/34.53  | CLOSE: (6) is inconsistent.
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1590 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)   ~ (e3 = e2)
% 197.69/34.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (3)  op(e2, e2) = all_4_2
% 197.69/34.53    (4)  op(e1, e1) = e0
% 197.69/34.53    (5)   ~ (all_4_2 = e3)
% 197.69/34.53    (6)  op(e0, e0) = e2
% 197.69/34.53    (7)   ~ (e3 = e0)
% 197.69/34.53    (8)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.69/34.53             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.69/34.53           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.69/34.53           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.69/34.53           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.69/34.53           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.69/34.53           all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.69/34.53           = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_14
% 197.69/34.53           & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~
% 197.69/34.53           (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 197.69/34.53           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.69/34.53           $i(all_57_14))
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (8) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (9)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 197.69/34.53  | |            = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.69/34.53  | |          all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 197.69/34.53  | |        (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 197.69/34.53  | |            = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.69/34.53  | |          all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.69/34.53  | | 
% 197.69/34.53  | | BETA: splitting (9) gives:
% 197.69/34.53  | | 
% 197.69/34.53  | | Case 1:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (10)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.69/34.53  | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.69/34.53  | | |         op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.69/34.53  | | |         $i(all_57_12)
% 197.69/34.53  | | | 
% 197.69/34.53  | | | ALPHA: (10) implies:
% 197.69/34.53  | | |   (11)  op(e1, e1) = e3
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (2), (4), (7), (11) are inconsistent by sub-proof #1824.
% 197.69/34.53  | | | 
% 197.69/34.53  | | Case 2:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (12)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.69/34.53  | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.69/34.53  | | |         op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.69/34.53  | | |         $i(all_57_12)
% 197.69/34.53  | | | 
% 197.69/34.53  | | | ALPHA: (12) implies:
% 197.69/34.53  | | |   (13)  op(e0, e0) = e3
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (1), (2), (6), (13) are inconsistent by sub-proof #1692.
% 197.69/34.53  | | | 
% 197.69/34.53  | | End of split
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (14)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 197.69/34.53  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 197.69/34.53  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.69/34.53  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 197.69/34.53  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.69/34.53  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (2), (3), (5), (6), (14) are inconsistent by sub-proof
% 197.69/34.53  | |            #1591.
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1591 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)   ~ (e3 = e2)
% 197.69/34.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (3)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 197.69/34.53             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.69/34.53           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 197.69/34.53           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 197.69/34.53             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 197.69/34.53             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.69/34.53    (4)  op(e2, e2) = all_4_2
% 197.69/34.53    (5)   ~ (all_4_2 = e3)
% 197.69/34.53    (6)  op(e0, e0) = e2
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (3) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (7)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 197.69/34.53  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.69/34.53  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (7) implies:
% 197.69/34.53  | |   (8)  op(e2, e2) = e3
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1975.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (9)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 197.69/34.53  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.69/34.53  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (9) implies:
% 197.69/34.53  | |   (10)  op(e0, e0) = e3
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1692.
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1592 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  all_56_12 = e0 & op(e0, e3) = e0
% 197.69/34.53    (2)  all_56_12 = e2
% 197.69/34.53    (3)   ~ (e2 = e0)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | ALPHA: (1) implies:
% 197.69/34.53  |   (4)  all_56_12 = e0
% 197.69/34.53  | 
% 197.69/34.53  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.53  |   (5)  e2 = e0
% 197.69/34.53  | 
% 197.69/34.53  | REDUCE: (3), (5) imply:
% 197.69/34.53  |   (6)  $false
% 197.69/34.53  | 
% 197.69/34.53  | CLOSE: (6) is inconsistent.
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1593 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  all_56_9 = e1 & op(e3, e0) = e1
% 197.69/34.53    (2)  all_56_9 = e2
% 197.69/34.53    (3)   ~ (e2 = e1)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | ALPHA: (1) implies:
% 197.69/34.53  |   (4)  all_56_9 = e1
% 197.69/34.53  | 
% 197.69/34.53  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.53  |   (5)  e2 = e1
% 197.69/34.53  | 
% 197.69/34.53  | REDUCE: (3), (5) imply:
% 197.69/34.53  |   (6)  $false
% 197.69/34.53  | 
% 197.69/34.53  | CLOSE: (6) is inconsistent.
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1594 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (2)  all_56_13 = e3
% 197.69/34.53    (3)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.69/34.53         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.69/34.53    (4)  all_56_14 = e2
% 197.69/34.53    (5)   ~ (e1 = e0)
% 197.69/34.53    (6)   ~ (e2 = e1)
% 197.69/34.53    (7)  all_56_12 = e2
% 197.69/34.53    (8)  op(e0, e0) = e0
% 197.69/34.53    (9)   ~ (e3 = e1)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (3) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (10)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.69/34.53  | |           e1)
% 197.69/34.53  | | 
% 197.69/34.53  | | BETA: splitting (10) gives:
% 197.69/34.53  | | 
% 197.69/34.53  | | Case 1:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (11)  all_56_12 = e1 & op(e0, e3) = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | ALPHA: (11) implies:
% 197.69/34.53  | | |   (12)  all_56_12 = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (6), (7), (12) are inconsistent by sub-proof #1622.
% 197.69/34.53  | | | 
% 197.69/34.53  | | Case 2:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (13)  all_56_13 = e1 & op(e0, e2) = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | ALPHA: (13) implies:
% 197.69/34.53  | | |   (14)  all_56_13 = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (2), (9), (14) are inconsistent by sub-proof #1864.
% 197.69/34.53  | | | 
% 197.69/34.53  | | End of split
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (15)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.69/34.53  | |           e1)
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (4), (5), (6), (8), (15) are inconsistent by sub-proof
% 197.69/34.53  | |            #1595.
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1595 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.69/34.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (3)  all_56_14 = e2
% 197.69/34.53    (4)   ~ (e1 = e0)
% 197.69/34.53    (5)   ~ (e2 = e1)
% 197.69/34.53    (6)  op(e0, e0) = e0
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (1) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (7) implies:
% 197.69/34.53  | |   (8)  all_56_14 = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #1815.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (9) implies:
% 197.69/34.53  | |   (10)  op(e0, e0) = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1943.
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1596 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.69/34.53         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.69/34.53    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.69/34.53         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.69/34.53    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.69/34.53         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.69/34.53    (4)   ~ (e3 = e2)
% 197.69/34.53    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (6)  all_56_12 = e3
% 197.69/34.53    (7)  op(e3, e3) = e3
% 197.69/34.53    (8)   ~ (e1 = e0)
% 197.69/34.53    (9)   ~ (e2 = e1)
% 197.69/34.53    (10)  all_56_2 = e0
% 197.69/34.53    (11)   ~ (e3 = e1)
% 197.69/34.53    (12)   ~ (e2 = e0)
% 197.69/34.53    (13)   ~ (e3 = e0)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (1) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 197.69/34.53  | |           e2)
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (4), (5), (7), (10), (12), (14) are inconsistent by sub-proof
% 197.69/34.53  | |            #1603.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 197.69/34.53  | |           e2)
% 197.69/34.53  | | 
% 197.69/34.53  | | BETA: splitting (15) gives:
% 197.69/34.53  | | 
% 197.69/34.53  | | Case 1:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (16)  all_56_6 = e2 & op(e1, e3) = e2
% 197.69/34.53  | | | 
% 197.69/34.53  | | | ALPHA: (16) implies:
% 197.69/34.53  | | |   (17)  all_56_6 = e2
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (11), (12), (13), (17) are
% 197.69/34.53  | | |            inconsistent by sub-proof #1597.
% 197.69/34.53  | | | 
% 197.69/34.53  | | Case 2:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (18)  all_56_12 = e2 & op(e0, e3) = e2
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (4), (6), (18) are inconsistent by sub-proof #1848.
% 197.69/34.53  | | | 
% 197.69/34.53  | | End of split
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1597 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.69/34.53         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.69/34.53    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.69/34.53         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.69/34.53    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (4)  all_56_12 = e3
% 197.69/34.53    (5)  all_56_6 = e2
% 197.69/34.53    (6)  op(e3, e3) = e3
% 197.69/34.53    (7)   ~ (e1 = e0)
% 197.69/34.53    (8)   ~ (e2 = e1)
% 197.69/34.53    (9)   ~ (e3 = e1)
% 197.69/34.53    (10)   ~ (e2 = e0)
% 197.69/34.53    (11)   ~ (e3 = e0)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (2) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 197.69/34.53  | |           e1)
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (12) are
% 197.69/34.53  | |            inconsistent by sub-proof #1599.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (13)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 197.69/34.53  | |           e1)
% 197.69/34.53  | | 
% 197.69/34.53  | | BETA: splitting (13) gives:
% 197.69/34.53  | | 
% 197.69/34.53  | | Case 1:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (14)  all_56_6 = e1 & op(e1, e3) = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (5), (8), (14) are inconsistent by sub-proof #1724.
% 197.69/34.53  | | | 
% 197.69/34.53  | | Case 2:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (15)  all_56_12 = e1 & op(e0, e3) = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (4), (9), (15) are inconsistent by sub-proof #1598.
% 197.69/34.53  | | | 
% 197.69/34.53  | | End of split
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1598 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  all_56_12 = e1 & op(e0, e3) = e1
% 197.69/34.53    (2)  all_56_12 = e3
% 197.69/34.53    (3)   ~ (e3 = e1)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | ALPHA: (1) implies:
% 197.69/34.53  |   (4)  all_56_12 = e1
% 197.69/34.53  | 
% 197.69/34.53  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.53  |   (5)  e3 = e1
% 197.69/34.53  | 
% 197.69/34.53  | REDUCE: (3), (5) imply:
% 197.69/34.53  |   (6)  $false
% 197.69/34.53  | 
% 197.69/34.53  | CLOSE: (6) is inconsistent.
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1599 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.69/34.53         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.69/34.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (3)  all_56_12 = e3
% 197.69/34.53    (4)  all_56_6 = e2
% 197.69/34.53    (5)  op(e3, e3) = e3
% 197.69/34.53    (6)   ~ (e1 = e0)
% 197.69/34.53    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 197.69/34.53    (8)   ~ (e3 = e1)
% 197.69/34.53    (9)   ~ (e2 = e0)
% 197.69/34.53    (10)   ~ (e3 = e0)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (7) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (11)  all_56_0 = e1 & op(e3, e3) = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (11) implies:
% 197.69/34.53  | |   (12)  op(e3, e3) = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (2), (5), (8), (12) are inconsistent by sub-proof #1966.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (13)  all_56_2 = e1 & op(e2, e3) = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (13) implies:
% 197.69/34.53  | |   (14)  all_56_2 = e1
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (14) are inconsistent by
% 197.69/34.53  | |            sub-proof #1600.
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1600 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.69/34.53         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.69/34.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (3)  all_56_12 = e3
% 197.69/34.53    (4)  all_56_6 = e2
% 197.69/34.53    (5)  op(e3, e3) = e3
% 197.69/34.53    (6)   ~ (e1 = e0)
% 197.69/34.53    (7)  all_56_2 = e1
% 197.69/34.53    (8)   ~ (e2 = e0)
% 197.69/34.53    (9)   ~ (e3 = e0)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (1) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 197.69/34.53  | |           e0)
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (2), (5), (6), (7), (9), (10) are inconsistent by sub-proof
% 197.69/34.53  | |            #1602.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 197.69/34.53  | |           e0)
% 197.69/34.53  | | 
% 197.69/34.53  | | BETA: splitting (11) gives:
% 197.69/34.53  | | 
% 197.69/34.53  | | Case 1:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (12)  all_56_6 = e0 & op(e1, e3) = e0
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (4), (8), (12) are inconsistent by sub-proof #1601.
% 197.69/34.53  | | | 
% 197.69/34.53  | | Case 2:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (13)  all_56_12 = e0 & op(e0, e3) = e0
% 197.69/34.53  | | | 
% 197.69/34.53  | | | ALPHA: (13) implies:
% 197.69/34.53  | | |   (14)  all_56_12 = e0
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (3), (9), (14) are inconsistent by sub-proof #1700.
% 197.69/34.53  | | | 
% 197.69/34.53  | | End of split
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1601 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  all_56_6 = e0 & op(e1, e3) = e0
% 197.69/34.53    (2)  all_56_6 = e2
% 197.69/34.53    (3)   ~ (e2 = e0)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | ALPHA: (1) implies:
% 197.69/34.53  |   (4)  all_56_6 = e0
% 197.69/34.53  | 
% 197.69/34.53  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.53  |   (5)  e2 = e0
% 197.69/34.53  | 
% 197.69/34.53  | REDUCE: (3), (5) imply:
% 197.69/34.53  |   (6)  $false
% 197.69/34.53  | 
% 197.69/34.53  | CLOSE: (6) is inconsistent.
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1602 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (2)  op(e3, e3) = e3
% 197.69/34.53    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 197.69/34.53    (4)   ~ (e1 = e0)
% 197.69/34.53    (5)  all_56_2 = e1
% 197.69/34.53    (6)   ~ (e3 = e0)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (3) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (7) implies:
% 197.69/34.53  | |   (8)  op(e3, e3) = e0
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1961.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (9) implies:
% 197.69/34.53  | |   (10)  all_56_2 = e0
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (4), (5), (10) are inconsistent by sub-proof #1713.
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1603 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)   ~ (e3 = e2)
% 197.69/34.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (3)  op(e3, e3) = e3
% 197.69/34.53    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 197.69/34.53    (5)  all_56_2 = e0
% 197.69/34.53    (6)   ~ (e2 = e0)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (4) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (7) implies:
% 197.69/34.53  | |   (8)  op(e3, e3) = e2
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1957.
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 197.69/34.53  | | 
% 197.69/34.53  | | ALPHA: (9) implies:
% 197.69/34.53  | |   (10)  all_56_2 = e2
% 197.69/34.53  | | 
% 197.69/34.53  | | REF_CLOSE: (5), (6), (10) are inconsistent by sub-proof #1715.
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1604 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  all_56_9 = e2
% 197.69/34.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.53    (3)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 197.69/34.53         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.69/34.53    (4)  all_56_11 = e2
% 197.69/34.53    (5)  all_56_10 = e3
% 197.69/34.53    (6)   ~ (e1 = e0)
% 197.69/34.53    (7)   ~ (e2 = e1)
% 197.69/34.53    (8)  op(e0, e0) = e0
% 197.69/34.53    (9)   ~ (e3 = e1)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | BETA: splitting (3) gives:
% 197.69/34.53  | 
% 197.69/34.53  | Case 1:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 197.69/34.53  | |           e1)
% 197.69/34.53  | | 
% 197.69/34.53  | | BETA: splitting (10) gives:
% 197.69/34.53  | | 
% 197.69/34.53  | | Case 1:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (11)  all_56_9 = e1 & op(e3, e0) = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | ALPHA: (11) implies:
% 197.69/34.53  | | |   (12)  all_56_9 = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (1), (7), (12) are inconsistent by sub-proof #1605.
% 197.69/34.53  | | | 
% 197.69/34.53  | | Case 2:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (13)  all_56_10 = e1 & op(e2, e0) = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | ALPHA: (13) implies:
% 197.69/34.53  | | |   (14)  all_56_10 = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (5), (9), (14) are inconsistent by sub-proof #1742.
% 197.69/34.53  | | | 
% 197.69/34.53  | | End of split
% 197.69/34.53  | | 
% 197.69/34.53  | Case 2:
% 197.69/34.53  | | 
% 197.69/34.53  | |   (15)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.69/34.53  | |           e1)
% 197.69/34.53  | | 
% 197.69/34.53  | | BETA: splitting (15) gives:
% 197.69/34.53  | | 
% 197.69/34.53  | | Case 1:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (16)  all_56_11 = e1 & op(e1, e0) = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | ALPHA: (16) implies:
% 197.69/34.53  | | |   (17)  all_56_11 = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (4), (7), (17) are inconsistent by sub-proof #1615.
% 197.69/34.53  | | | 
% 197.69/34.53  | | Case 2:
% 197.69/34.53  | | | 
% 197.69/34.53  | | |   (18)  all_56_15 = e1 & op(e0, e0) = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | ALPHA: (18) implies:
% 197.69/34.53  | | |   (19)  op(e0, e0) = e1
% 197.69/34.53  | | | 
% 197.69/34.53  | | | REF_CLOSE: (2), (6), (8), (19) are inconsistent by sub-proof #1943.
% 197.69/34.53  | | | 
% 197.69/34.53  | | End of split
% 197.69/34.53  | | 
% 197.69/34.53  | End of split
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1605 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  all_56_9 = e2
% 197.69/34.53    (2)  all_56_9 = e1
% 197.69/34.53    (3)   ~ (e2 = e1)
% 197.69/34.53  
% 197.69/34.53  Begin of proof
% 197.69/34.53  | 
% 197.69/34.53  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.53  |   (4)  e2 = e1
% 197.69/34.53  | 
% 197.69/34.53  | SIMP: (4) implies:
% 197.69/34.53  |   (5)  e2 = e1
% 197.69/34.53  | 
% 197.69/34.53  | REDUCE: (3), (5) imply:
% 197.69/34.53  |   (6)  $false
% 197.69/34.53  | 
% 197.69/34.53  | CLOSE: (6) is inconsistent.
% 197.69/34.53  | 
% 197.69/34.53  End of proof
% 197.69/34.53  
% 197.69/34.53  Sub-proof #1606 shows that the following formulas are inconsistent:
% 197.69/34.53  ----------------------------------------------------------------
% 197.69/34.53    (1)  all_56_11 = e1
% 197.69/34.53    (2)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.69/34.53         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.69/34.53    (3)   ~ (e3 = e2)
% 197.69/34.53    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.69/34.54         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.69/34.54    (6)  all_56_4 = e1
% 197.69/34.54    (7)  all_56_14 = e3
% 197.69/34.54    (8)  op(e1, e1) = e0
% 197.69/34.54    (9)   ~ (e1 = e0)
% 197.69/34.54    (10)  all_56_6 = e1
% 197.69/34.54    (11)   ~ (e2 = e1)
% 197.69/34.54    (12)   ~ (e3 = e1)
% 197.69/34.54    (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.69/34.54          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.69/34.54    (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.69/34.54          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.69/34.54    (15)   ~ (e2 = e0)
% 197.69/34.54    (16)   ~ (e3 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (14) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (17)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 197.69/34.54  | |           e3)
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (3), (4), (8), (10), (11), (12), (13), (15), (17) are
% 197.69/34.54  | |            inconsistent by sub-proof #1612.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (18)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 197.69/34.54  | |           e3)
% 197.69/34.54  | | 
% 197.69/34.54  | | BETA: splitting (18) gives:
% 197.69/34.54  | | 
% 197.69/34.54  | | Case 1:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (19)  all_56_8 = e3 & op(e1, e1) = e3
% 197.69/34.54  | | | 
% 197.69/34.54  | | | ALPHA: (19) implies:
% 197.69/34.54  | | |   (20)  op(e1, e1) = e3
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (11), (15), (16), (20) are
% 197.69/34.54  | | |            inconsistent by sub-proof #1608.
% 197.69/34.54  | | | 
% 197.69/34.54  | | Case 2:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (21)  all_56_11 = e3 & op(e1, e0) = e3
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (1), (12), (21) are inconsistent by sub-proof #1607.
% 197.69/34.54  | | | 
% 197.69/34.54  | | End of split
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1607 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_11 = e3 & op(e1, e0) = e3
% 197.69/34.54    (2)  all_56_11 = e1
% 197.69/34.54    (3)   ~ (e3 = e1)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | ALPHA: (1) implies:
% 197.69/34.54  |   (4)  all_56_11 = e3
% 197.69/34.54  | 
% 197.69/34.54  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.54  |   (5)  e3 = e1
% 197.69/34.54  | 
% 197.69/34.54  | REDUCE: (3), (5) imply:
% 197.69/34.54  |   (6)  $false
% 197.69/34.54  | 
% 197.69/34.54  | CLOSE: (6) is inconsistent.
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1608 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.69/34.54         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.69/34.54    (2)   ~ (e3 = e2)
% 197.69/34.54    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.69/34.54         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.69/34.54    (5)  all_56_4 = e1
% 197.69/34.54    (6)  all_56_14 = e3
% 197.69/34.54    (7)   ~ (e1 = e0)
% 197.69/34.54    (8)   ~ (e2 = e1)
% 197.69/34.54    (9)  op(e1, e1) = e3
% 197.69/34.54    (10)   ~ (e2 = e0)
% 197.69/34.54    (11)   ~ (e3 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (1) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 197.69/34.54  | |           e0)
% 197.69/34.54  | | 
% 197.69/34.54  | | BETA: splitting (12) gives:
% 197.69/34.54  | | 
% 197.69/34.54  | | Case 1:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (13)  all_56_4 = e0 & op(e3, e1) = e0
% 197.69/34.54  | | | 
% 197.69/34.54  | | | ALPHA: (13) implies:
% 197.69/34.54  | | |   (14)  all_56_4 = e0
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (5), (7), (14) are inconsistent by sub-proof #1827.
% 197.69/34.54  | | | 
% 197.69/34.54  | | Case 2:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (15)  all_56_5 = e0 & op(e2, e1) = e0
% 197.69/34.54  | | | 
% 197.69/34.54  | | | ALPHA: (15) implies:
% 197.69/34.54  | | |   (16)  all_56_5 = e0
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (16) are inconsistent
% 197.69/34.54  | | |            by sub-proof #1609.
% 197.69/34.54  | | | 
% 197.69/34.54  | | End of split
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (17)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.69/34.54  | |           e0)
% 197.69/34.54  | | 
% 197.69/34.54  | | BETA: splitting (17) gives:
% 197.69/34.54  | | 
% 197.69/34.54  | | Case 1:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (18)  all_56_8 = e0 & op(e1, e1) = e0
% 197.69/34.54  | | | 
% 197.69/34.54  | | | ALPHA: (18) implies:
% 197.69/34.54  | | |   (19)  op(e1, e1) = e0
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (3), (9), (11), (19) are inconsistent by sub-proof #1824.
% 197.69/34.54  | | | 
% 197.69/34.54  | | Case 2:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (20)  all_56_14 = e0 & op(e0, e1) = e0
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (6), (11), (20) are inconsistent by sub-proof #1745.
% 197.69/34.54  | | | 
% 197.69/34.54  | | End of split
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1609 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)   ~ (e3 = e2)
% 197.69/34.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.69/34.54         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.69/34.54    (4)  all_56_4 = e1
% 197.69/34.54    (5)  all_56_14 = e3
% 197.69/34.54    (6)  all_56_5 = e0
% 197.69/34.54    (7)   ~ (e2 = e1)
% 197.69/34.54    (8)  op(e1, e1) = e3
% 197.69/34.54    (9)   ~ (e2 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (3) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 197.69/34.54  | |           e2)
% 197.69/34.54  | | 
% 197.69/34.54  | | BETA: splitting (10) gives:
% 197.69/34.54  | | 
% 197.69/34.54  | | Case 1:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (11)  all_56_4 = e2 & op(e3, e1) = e2
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (4), (7), (11) are inconsistent by sub-proof #1611.
% 197.69/34.54  | | | 
% 197.69/34.54  | | Case 2:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (12)  all_56_5 = e2 & op(e2, e1) = e2
% 197.69/34.54  | | | 
% 197.69/34.54  | | | ALPHA: (12) implies:
% 197.69/34.54  | | |   (13)  all_56_5 = e2
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (6), (9), (13) are inconsistent by sub-proof #1860.
% 197.69/34.54  | | | 
% 197.69/34.54  | | End of split
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (14)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 197.69/34.54  | |           e2)
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (2), (5), (8), (14) are inconsistent by sub-proof #1610.
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1610 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)   ~ (e3 = e2)
% 197.69/34.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.69/34.54    (4)  all_56_14 = e3
% 197.69/34.54    (5)  op(e1, e1) = e3
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (3) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (6)  all_56_8 = e2 & op(e1, e1) = e2
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (6) implies:
% 197.69/34.54  | |   (7)  op(e1, e1) = e2
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1777.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (8)  all_56_14 = e2 & op(e0, e1) = e2
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #1820.
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1611 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_4 = e2 & op(e3, e1) = e2
% 197.69/34.54    (2)  all_56_4 = e1
% 197.69/34.54    (3)   ~ (e2 = e1)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | ALPHA: (1) implies:
% 197.69/34.54  |   (4)  all_56_4 = e2
% 197.69/34.54  | 
% 197.69/34.54  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.54  |   (5)  e2 = e1
% 197.69/34.54  | 
% 197.69/34.54  | REDUCE: (3), (5) imply:
% 197.69/34.54  |   (6)  $false
% 197.69/34.54  | 
% 197.69/34.54  | CLOSE: (6) is inconsistent.
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1612 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_11 = e1
% 197.69/34.54    (2)   ~ (e3 = e2)
% 197.69/34.54    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (4)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 197.69/34.54    (5)  op(e1, e1) = e0
% 197.69/34.54    (6)  all_56_6 = e1
% 197.69/34.54    (7)   ~ (e2 = e1)
% 197.69/34.54    (8)   ~ (e3 = e1)
% 197.69/34.54    (9)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.69/34.54         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.69/34.54    (10)   ~ (e2 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (4) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (11)  all_56_6 = e3 & op(e1, e3) = e3
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (11) implies:
% 197.69/34.54  | |   (12)  all_56_6 = e3
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (6), (8), (12) are inconsistent by sub-proof #1620.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (13)  all_56_7 = e3 & op(e1, e2) = e3
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (13) implies:
% 197.69/34.54  | |   (14)  all_56_7 = e3
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (14) are inconsistent by
% 197.69/34.54  | |            sub-proof #1613.
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1613 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_11 = e1
% 197.69/34.54    (2)   ~ (e3 = e2)
% 197.69/34.54    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (4)  all_56_7 = e3
% 197.69/34.54    (5)  op(e1, e1) = e0
% 197.69/34.54    (6)  all_56_6 = e1
% 197.69/34.54    (7)   ~ (e2 = e1)
% 197.69/34.54    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.69/34.54         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.69/34.54    (9)   ~ (e2 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (8) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 197.69/34.54  | |           e2)
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (2), (4), (6), (7), (10) are inconsistent by sub-proof #1778.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (11)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 197.69/34.54  | |           e2)
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (3), (5), (7), (9), (11) are inconsistent by sub-proof
% 197.69/34.54  | |            #1614.
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1614 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_11 = e1
% 197.69/34.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.69/34.54    (4)  op(e1, e1) = e0
% 197.69/34.54    (5)   ~ (e2 = e1)
% 197.69/34.54    (6)   ~ (e2 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (3) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (7) implies:
% 197.69/34.54  | |   (8)  op(e1, e1) = e2
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1821.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (9)  all_56_11 = e2 & op(e1, e0) = e2
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (9) implies:
% 197.69/34.54  | |   (10)  all_56_11 = e2
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #1615.
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1615 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_11 = e2
% 197.69/34.54    (2)  all_56_11 = e1
% 197.69/34.54    (3)   ~ (e2 = e1)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.54  |   (4)  e2 = e1
% 197.69/34.54  | 
% 197.69/34.54  | SIMP: (4) implies:
% 197.69/34.54  |   (5)  e2 = e1
% 197.69/34.54  | 
% 197.69/34.54  | REDUCE: (3), (5) imply:
% 197.69/34.54  |   (6)  $false
% 197.69/34.54  | 
% 197.69/34.54  | CLOSE: (6) is inconsistent.
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1616 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)   ~ (e3 = e2)
% 197.69/34.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (3)  all_56_7 = e1
% 197.69/34.54    (4)  op(e1, e1) = e0
% 197.69/34.54    (5)  all_56_6 = e1
% 197.69/34.54    (6)   ~ (e2 = e1)
% 197.69/34.54    (7)   ~ (e3 = e1)
% 197.69/34.54    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.69/34.54         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.69/34.54    (9)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.69/34.54         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.69/34.54    (10)   ~ (e2 = e0)
% 197.69/34.54    (11)   ~ (e3 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (8) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (12)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 197.69/34.54  | |           e2)
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (3), (5), (6), (12) are inconsistent by sub-proof #1621.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (13)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 197.69/34.54  | |           e2)
% 197.69/34.54  | | 
% 197.69/34.54  | | BETA: splitting (13) gives:
% 197.69/34.54  | | 
% 197.69/34.54  | | Case 1:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (14)  all_56_8 = e2 & op(e1, e1) = e2
% 197.69/34.54  | | | 
% 197.69/34.54  | | | ALPHA: (14) implies:
% 197.69/34.54  | | |   (15)  op(e1, e1) = e2
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (2), (4), (10), (15) are inconsistent by sub-proof #1821.
% 197.69/34.54  | | | 
% 197.69/34.54  | | Case 2:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (16)  all_56_11 = e2 & op(e1, e0) = e2
% 197.69/34.54  | | | 
% 197.69/34.54  | | | ALPHA: (16) implies:
% 197.69/34.54  | | |   (17)  all_56_11 = e2
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (11), (17) are inconsistent
% 197.69/34.54  | | |            by sub-proof #1617.
% 197.69/34.54  | | | 
% 197.69/34.54  | | End of split
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1617 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)   ~ (e3 = e2)
% 197.69/34.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (3)  all_56_7 = e1
% 197.69/34.54    (4)  all_56_11 = e2
% 197.69/34.54    (5)  op(e1, e1) = e0
% 197.69/34.54    (6)  all_56_6 = e1
% 197.69/34.54    (7)   ~ (e3 = e1)
% 197.69/34.54    (8)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 197.69/34.54         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.69/34.54    (9)   ~ (e3 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (8) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 197.69/34.54  | |           e3)
% 197.69/34.54  | | 
% 197.69/34.54  | | BETA: splitting (10) gives:
% 197.69/34.54  | | 
% 197.69/34.54  | | Case 1:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (11)  all_56_6 = e3 & op(e1, e3) = e3
% 197.69/34.54  | | | 
% 197.69/34.54  | | | ALPHA: (11) implies:
% 197.69/34.54  | | |   (12)  all_56_6 = e3
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (6), (7), (12) are inconsistent by sub-proof #1620.
% 197.69/34.54  | | | 
% 197.69/34.54  | | Case 2:
% 197.69/34.54  | | | 
% 197.69/34.54  | | |   (13)  all_56_7 = e3 & op(e1, e2) = e3
% 197.69/34.54  | | | 
% 197.69/34.54  | | | ALPHA: (13) implies:
% 197.69/34.54  | | |   (14)  all_56_7 = e3
% 197.69/34.54  | | | 
% 197.69/34.54  | | | REF_CLOSE: (3), (7), (14) are inconsistent by sub-proof #1907.
% 197.69/34.54  | | | 
% 197.69/34.54  | | End of split
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (15)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 197.69/34.54  | |           e3)
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (2), (4), (5), (9), (15) are inconsistent by sub-proof
% 197.69/34.54  | |            #1618.
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1618 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)   ~ (e3 = e2)
% 197.69/34.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (3)  all_56_11 = e2
% 197.69/34.54    (4)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 197.69/34.54    (5)  op(e1, e1) = e0
% 197.69/34.54    (6)   ~ (e3 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (4) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (7) implies:
% 197.69/34.54  | |   (8)  op(e1, e1) = e3
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1824.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (9)  all_56_11 = e3 & op(e1, e0) = e3
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (9) implies:
% 197.69/34.54  | |   (10)  all_56_11 = e3
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #1619.
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1619 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_11 = e3
% 197.69/34.54    (2)  all_56_11 = e2
% 197.69/34.54    (3)   ~ (e3 = e2)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.54  |   (4)  e3 = e2
% 197.69/34.54  | 
% 197.69/34.54  | SIMP: (4) implies:
% 197.69/34.54  |   (5)  e3 = e2
% 197.69/34.54  | 
% 197.69/34.54  | REDUCE: (3), (5) imply:
% 197.69/34.54  |   (6)  $false
% 197.69/34.54  | 
% 197.69/34.54  | CLOSE: (6) is inconsistent.
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1620 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_6 = e3
% 197.69/34.54    (2)  all_56_6 = e1
% 197.69/34.54    (3)   ~ (e3 = e1)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.54  |   (4)  e3 = e1
% 197.69/34.54  | 
% 197.69/34.54  | SIMP: (4) implies:
% 197.69/34.54  |   (5)  e3 = e1
% 197.69/34.54  | 
% 197.69/34.54  | REDUCE: (3), (5) imply:
% 197.69/34.54  |   (6)  $false
% 197.69/34.54  | 
% 197.69/34.54  | CLOSE: (6) is inconsistent.
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1621 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 197.69/34.54    (2)  all_56_6 = e1
% 197.69/34.54    (3)   ~ (e2 = e1)
% 197.69/34.54    (4)  all_56_7 = e1
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (1) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (5)  all_56_6 = e2 & op(e1, e3) = e2
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (5) implies:
% 197.69/34.54  | |   (6)  all_56_6 = e2
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #1779.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (7)  all_56_7 = e2 & op(e1, e2) = e2
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #1906.
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1622 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_12 = e2
% 197.69/34.54    (2)  all_56_12 = e1
% 197.69/34.54    (3)   ~ (e2 = e1)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.54  |   (4)  e2 = e1
% 197.69/34.54  | 
% 197.69/34.54  | SIMP: (4) implies:
% 197.69/34.54  |   (5)  e2 = e1
% 197.69/34.54  | 
% 197.69/34.54  | REDUCE: (3), (5) imply:
% 197.69/34.54  |   (6)  $false
% 197.69/34.54  | 
% 197.69/34.54  | CLOSE: (6) is inconsistent.
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1623 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)   ~ (e3 = e2)
% 197.69/34.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.69/34.54         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.69/34.54    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.69/34.54         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.69/34.54    (5)  all_56_4 = e1
% 197.69/34.54    (6)  op(e3, e3) = e3
% 197.69/34.54    (7)  op(e1, e1) = e0
% 197.69/34.54    (8)   ~ (e1 = e0)
% 197.69/34.54    (9)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.69/34.54         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.69/34.54    (10)   ~ (e2 = e1)
% 197.69/34.54    (11)  all_56_2 = e0
% 197.69/34.54    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 197.69/34.54    (13)   ~ (e3 = e1)
% 197.69/34.54    (14)   ~ (e2 = e0)
% 197.69/34.54    (15)   ~ (e3 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (12) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (16)  all_56_0 = e1 & op(e3, e3) = e1
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (16) implies:
% 197.69/34.54  | |   (17)  op(e3, e3) = e1
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (2), (6), (13), (17) are inconsistent by sub-proof #1966.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (18)  all_56_2 = e1 & op(e2, e3) = e1
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (18) implies:
% 197.69/34.54  | |   (19)  all_56_2 = e1
% 197.69/34.54  | | 
% 197.69/34.54  | | COMBINE_EQS: (11), (19) imply:
% 197.69/34.54  | |   (20)  e1 = e0
% 197.69/34.54  | | 
% 197.69/34.54  | | COMBINE_EQS: (5), (20) imply:
% 197.69/34.54  | |   (21)  all_56_4 = e0
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (13), (14), (15), (21)
% 197.69/34.54  | |            are inconsistent by sub-proof #1809.
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1624 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (2)  op(e3, e1) = e3
% 197.69/34.54    (3)  op(e3, e1) = e1
% 197.69/34.54    (4)   ~ (e3 = e1)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | GROUND_INST: instantiating (1) with e1, e3, e1, e3, simplifying with (2), (3)
% 197.69/34.54  |              gives:
% 197.69/34.54  |   (5)  e3 = e1
% 197.69/34.54  | 
% 197.69/34.54  | REDUCE: (4), (5) imply:
% 197.69/34.54  |   (6)  $false
% 197.69/34.54  | 
% 197.69/34.54  | CLOSE: (6) is inconsistent.
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1625 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_5 = e3 & op(e2, e1) = e3
% 197.69/34.54    (2)  all_56_5 = e2
% 197.69/34.54    (3)   ~ (e3 = e2)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | ALPHA: (1) implies:
% 197.69/34.54  |   (4)  all_56_5 = e3
% 197.69/34.54  | 
% 197.69/34.54  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.54  |   (5)  e3 = e2
% 197.69/34.54  | 
% 197.69/34.54  | REDUCE: (3), (5) imply:
% 197.69/34.54  |   (6)  $false
% 197.69/34.54  | 
% 197.69/34.54  | CLOSE: (6) is inconsistent.
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1626 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_2 = e3 & op(e2, e3) = e3
% 197.69/34.54    (2)  all_56_2 = e0
% 197.69/34.54    (3)   ~ (e3 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | ALPHA: (1) implies:
% 197.69/34.54  |   (4)  all_56_2 = e3
% 197.69/34.54  | 
% 197.69/34.54  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.54  |   (5)  e3 = e0
% 197.69/34.54  | 
% 197.69/34.54  | REDUCE: (3), (5) imply:
% 197.69/34.54  |   (6)  $false
% 197.69/34.54  | 
% 197.69/34.54  | CLOSE: (6) is inconsistent.
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1627 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (2)  op(e3, e3) = e3
% 197.69/34.54    (3)  all_56_1 = e0
% 197.69/34.54    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 197.69/34.54    (5)   ~ (e1 = e0)
% 197.69/34.54    (6)   ~ (e3 = e1)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (4) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (7) implies:
% 197.69/34.54  | |   (8)  op(e3, e3) = e1
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1966.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (9)  all_56_1 = e1 & op(e3, e2) = e1
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (9) implies:
% 197.69/34.54  | |   (10)  all_56_1 = e1
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (3), (5), (10) are inconsistent by sub-proof #1628.
% 197.69/34.54  | | 
% 197.69/34.54  | End of split
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1628 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)  all_56_1 = e1
% 197.69/34.54    (2)  all_56_1 = e0
% 197.69/34.54    (3)   ~ (e1 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.54  |   (4)  e1 = e0
% 197.69/34.54  | 
% 197.69/34.54  | SIMP: (4) implies:
% 197.69/34.54  |   (5)  e1 = e0
% 197.69/34.54  | 
% 197.69/34.54  | REDUCE: (3), (5) imply:
% 197.69/34.54  |   (6)  $false
% 197.69/34.54  | 
% 197.69/34.54  | CLOSE: (6) is inconsistent.
% 197.69/34.54  | 
% 197.69/34.54  End of proof
% 197.69/34.54  
% 197.69/34.54  Sub-proof #1629 shows that the following formulas are inconsistent:
% 197.69/34.54  ----------------------------------------------------------------
% 197.69/34.54    (1)   ~ (e3 = e2)
% 197.69/34.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.54    (3)  op(e2, e2) = all_4_2
% 197.69/34.54    (4)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 =
% 197.69/34.54             e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) =
% 197.69/34.54           all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0,
% 197.69/34.54             e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 & 
% 197.69/34.54               ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.69/34.54               op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.69/34.54               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.69/34.54               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.69/34.54               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.69/34.54                 e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.69/34.54               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.69/34.54               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 197.69/34.54                 e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.69/34.54               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 197.69/34.54                 e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.69/34.54               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.69/34.54               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 197.69/34.54                 e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.54               $i(all_57_7))))
% 197.69/34.54    (5)  op(e0, e1) = all_52_11
% 197.69/34.54    (6)  op(e3, e3) = e3
% 197.69/34.54    (7)  op(e1, e1) = e0
% 197.69/34.54    (8)   ~ (all_4_2 = e3)
% 197.69/34.54    (9)   ~ (all_52_11 = e0)
% 197.69/34.54    (10)   ~ (e3 = e1)
% 197.69/34.54    (11)   ~ (e2 = e0)
% 197.69/34.54    (12)   ~ (e3 = e0)
% 197.69/34.54  
% 197.69/34.54  Begin of proof
% 197.69/34.54  | 
% 197.69/34.54  | BETA: splitting (4) gives:
% 197.69/34.54  | 
% 197.69/34.54  | Case 1:
% 197.69/34.54  | | 
% 197.69/34.54  | |   (13)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.69/34.54  | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1,
% 197.69/34.54  | |           e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)
% 197.69/34.54  | | 
% 197.69/34.54  | | ALPHA: (13) implies:
% 197.69/34.54  | |   (14)   ~ (all_57_14 = e0)
% 197.69/34.54  | |   (15)  op(e1, e1) = all_57_14
% 197.69/34.54  | | 
% 197.69/34.54  | | REF_CLOSE: (2), (7), (14), (15) are inconsistent by sub-proof #1636.
% 197.69/34.54  | | 
% 197.69/34.54  | Case 2:
% 197.69/34.54  | | 
% 197.69/34.55  | |   (16)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 197.69/34.55  | |             = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.69/34.55  | |             all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) |
% 197.69/34.55  | |           (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.69/34.55  | |             (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.69/34.55  | |             op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.69/34.55  | |             e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.69/34.55  | |             & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.69/34.55  | |           (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.69/34.55  | |             (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.69/34.55  | |             op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 =
% 197.69/34.55  | |             e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 197.69/34.55  | |             & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.69/34.55  | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.69/34.55  | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.69/34.55  | |             op(e0, e1) = e0 & $i(all_57_7)))
% 197.69/34.55  | | 
% 197.69/34.55  | | ALPHA: (16) implies:
% 197.69/34.55  | |   (17)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 197.69/34.55  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.69/34.55  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.69/34.55  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 197.69/34.55  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 197.69/34.55  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.69/34.55  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.69/34.55  | |           $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 =
% 197.69/34.55  | |             e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.69/34.55  | |           e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 197.69/34.55  | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1
% 197.69/34.55  | |           & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.69/34.55  | |         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 197.69/34.55  | |             = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) =
% 197.69/34.55  | |           e0 & $i(all_57_7))
% 197.69/34.55  | | 
% 197.69/34.55  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (17)
% 197.69/34.55  | |            are inconsistent by sub-proof #1630.
% 197.69/34.55  | | 
% 197.69/34.55  | End of split
% 197.69/34.55  | 
% 197.69/34.55  End of proof
% 197.69/34.55  
% 197.69/34.55  Sub-proof #1630 shows that the following formulas are inconsistent:
% 197.69/34.55  ----------------------------------------------------------------
% 197.69/34.55    (1)   ~ (e3 = e2)
% 197.69/34.55    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.55    (3)  op(e2, e2) = all_4_2
% 197.69/34.55    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.69/34.55             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.69/34.55           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.69/34.55           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.69/34.55             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.69/34.55           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.69/34.55           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.69/34.55           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.69/34.55           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.69/34.55           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.69/34.55           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.69/34.55         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.69/34.55             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.55           $i(all_57_7))
% 197.69/34.55    (5)  op(e0, e1) = all_52_11
% 197.69/34.55    (6)  op(e3, e3) = e3
% 197.69/34.55    (7)  op(e1, e1) = e0
% 197.69/34.55    (8)   ~ (all_4_2 = e3)
% 197.69/34.55    (9)   ~ (all_52_11 = e0)
% 197.69/34.55    (10)   ~ (e3 = e1)
% 197.69/34.55    (11)   ~ (e2 = e0)
% 197.69/34.55    (12)   ~ (e3 = e0)
% 197.69/34.55  
% 197.69/34.55  Begin of proof
% 197.69/34.55  | 
% 197.69/34.55  | BETA: splitting (4) gives:
% 197.69/34.55  | 
% 197.69/34.55  | Case 1:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 197.69/34.55  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.69/34.55  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.69/34.55  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 197.69/34.55  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 197.69/34.55  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.69/34.55  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.69/34.55  | |           $i(all_57_3))
% 197.69/34.55  | | 
% 197.69/34.55  | | BETA: splitting (13) gives:
% 197.69/34.55  | | 
% 197.69/34.55  | | Case 1:
% 197.69/34.55  | | | 
% 197.69/34.55  | | |   (14)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.69/34.55  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.69/34.55  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 197.69/34.55  | | | 
% 197.69/34.55  | | | ALPHA: (14) implies:
% 197.69/34.55  | | |   (15)  op(e2, e2) = e3
% 197.69/34.55  | | | 
% 197.69/34.55  | | | REF_CLOSE: (2), (3), (8), (15) are inconsistent by sub-proof #1975.
% 197.69/34.55  | | | 
% 197.69/34.55  | | Case 2:
% 197.69/34.55  | | | 
% 197.69/34.55  | | |   (16)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.69/34.55  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.69/34.55  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.69/34.55  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.69/34.55  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.69/34.55  | | | 
% 197.69/34.55  | | | REF_CLOSE: (1), (2), (6), (7), (12), (16) are inconsistent by sub-proof
% 197.69/34.55  | | |            #1635.
% 197.69/34.55  | | | 
% 197.69/34.55  | | End of split
% 197.69/34.55  | | 
% 197.69/34.55  | Case 2:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (17)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.69/34.55  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.69/34.55  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.69/34.55  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.69/34.55  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.69/34.55  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.69/34.55  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.55  | |           $i(all_57_7))
% 197.69/34.55  | | 
% 197.69/34.55  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (11), (12), (17) are
% 197.69/34.55  | |            inconsistent by sub-proof #1631.
% 197.69/34.55  | | 
% 197.69/34.55  | End of split
% 197.69/34.55  | 
% 197.69/34.55  End of proof
% 197.69/34.55  
% 197.69/34.55  Sub-proof #1631 shows that the following formulas are inconsistent:
% 197.69/34.55  ----------------------------------------------------------------
% 197.69/34.55    (1)   ~ (e3 = e2)
% 197.69/34.55    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.55    (3)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.69/34.55             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.69/34.55           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 197.69/34.55           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 197.69/34.55             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.69/34.55           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.69/34.55           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.69/34.55    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.69/34.55             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.69/34.55           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.69/34.55           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.69/34.55             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.69/34.55           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.69/34.55           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.69/34.55           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.69/34.55           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.69/34.55           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.69/34.55           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.69/34.55         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.69/34.55             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.55           $i(all_57_7))
% 197.69/34.55    (5)  op(e0, e1) = all_52_11
% 197.69/34.55    (6)  op(e3, e3) = e3
% 197.69/34.55    (7)  op(e1, e1) = e0
% 197.69/34.55    (8)   ~ (all_52_11 = e0)
% 197.69/34.55    (9)   ~ (e3 = e1)
% 197.69/34.55    (10)   ~ (e2 = e0)
% 197.69/34.55    (11)   ~ (e3 = e0)
% 197.69/34.55  
% 197.69/34.55  Begin of proof
% 197.69/34.55  | 
% 197.69/34.55  | BETA: splitting (3) gives:
% 197.69/34.55  | 
% 197.69/34.55  | Case 1:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (12)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.69/34.55  | |           = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0
% 197.69/34.55  | |         & $i(all_57_4)
% 197.69/34.55  | | 
% 197.69/34.55  | | ALPHA: (12) implies:
% 197.69/34.55  | |   (13)  op(e1, e1) = e2
% 197.69/34.55  | | 
% 197.69/34.55  | | REF_CLOSE: (2), (7), (10), (13) are inconsistent by sub-proof #1821.
% 197.69/34.55  | | 
% 197.69/34.55  | Case 2:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (14)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 197.69/34.55  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 197.69/34.55  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.69/34.55  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 197.69/34.55  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.69/34.55  | | 
% 197.69/34.55  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (14) are
% 197.69/34.55  | |            inconsistent by sub-proof #1632.
% 197.69/34.55  | | 
% 197.69/34.55  | End of split
% 197.69/34.55  | 
% 197.69/34.55  End of proof
% 197.69/34.55  
% 197.69/34.55  Sub-proof #1632 shows that the following formulas are inconsistent:
% 197.69/34.55  ----------------------------------------------------------------
% 197.69/34.55    (1)   ~ (e3 = e2)
% 197.69/34.55    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.55    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.69/34.55             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.69/34.55           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 197.69/34.55           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 197.69/34.55             e1) = e0 & $i(all_57_7))
% 197.69/34.55    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.69/34.55             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.69/34.55           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.69/34.55           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.69/34.55             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.69/34.55           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.69/34.55           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.69/34.55           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.69/34.55           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.69/34.55           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.69/34.55           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.69/34.55         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.69/34.55             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.55           $i(all_57_7))
% 197.69/34.55    (5)  op(e0, e1) = all_52_11
% 197.69/34.55    (6)  op(e3, e3) = e3
% 197.69/34.55    (7)  op(e1, e1) = e0
% 197.69/34.55    (8)   ~ (all_52_11 = e0)
% 197.69/34.55    (9)   ~ (e3 = e1)
% 197.69/34.55    (10)   ~ (e2 = e0)
% 197.69/34.55    (11)   ~ (e3 = e0)
% 197.69/34.55  
% 197.69/34.55  Begin of proof
% 197.69/34.55  | 
% 197.69/34.55  | BETA: splitting (3) gives:
% 197.69/34.55  | 
% 197.69/34.55  | Case 1:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (12)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 197.69/34.55  | |           = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.69/34.55  | |         & $i(all_57_6)
% 197.69/34.55  | | 
% 197.69/34.55  | | ALPHA: (12) implies:
% 197.69/34.55  | |   (13)  op(e3, e3) = e1
% 197.69/34.55  | | 
% 197.69/34.55  | | REF_CLOSE: (2), (6), (9), (13) are inconsistent by sub-proof #1966.
% 197.69/34.55  | | 
% 197.69/34.55  | Case 2:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (14)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 197.69/34.55  | |           = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0
% 197.69/34.55  | |         & $i(all_57_7)
% 197.69/34.55  | | 
% 197.69/34.55  | | ALPHA: (14) implies:
% 197.69/34.55  | |   (15)  op(e2, e2) = e1
% 197.69/34.55  | | 
% 197.69/34.55  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (15) are
% 197.69/34.55  | |            inconsistent by sub-proof #1633.
% 197.69/34.55  | | 
% 197.69/34.55  | End of split
% 197.69/34.55  | 
% 197.69/34.55  End of proof
% 197.69/34.55  
% 197.69/34.55  Sub-proof #1633 shows that the following formulas are inconsistent:
% 197.69/34.55  ----------------------------------------------------------------
% 197.69/34.55    (1)   ~ (e3 = e2)
% 197.69/34.55    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.55    (3)  op(e2, e2) = e1
% 197.69/34.55    (4)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.69/34.55             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.69/34.55           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.69/34.55           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.69/34.55             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.69/34.55           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.69/34.55           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.69/34.55           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.69/34.55           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.69/34.55           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.69/34.55           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.69/34.55         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.69/34.55             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.55           $i(all_57_7))
% 197.69/34.55    (5)  op(e0, e1) = all_52_11
% 197.69/34.55    (6)  op(e3, e3) = e3
% 197.69/34.55    (7)  op(e1, e1) = e0
% 197.69/34.55    (8)   ~ (all_52_11 = e0)
% 197.69/34.55    (9)   ~ (e3 = e1)
% 197.69/34.55    (10)   ~ (e2 = e0)
% 197.69/34.55    (11)   ~ (e3 = e0)
% 197.69/34.55  
% 197.69/34.55  Begin of proof
% 197.69/34.55  | 
% 197.69/34.55  | BETA: splitting (4) gives:
% 197.69/34.55  | 
% 197.69/34.55  | Case 1:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (12)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 197.69/34.55  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.69/34.55  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.69/34.55  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 197.69/34.55  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 197.69/34.55  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.69/34.55  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.69/34.55  | |           $i(all_57_3))
% 197.69/34.55  | | 
% 197.69/34.55  | | BETA: splitting (12) gives:
% 197.69/34.55  | | 
% 197.69/34.55  | | Case 1:
% 197.69/34.55  | | | 
% 197.69/34.55  | | |   (13)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.69/34.55  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.69/34.55  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 197.69/34.55  | | | 
% 197.69/34.55  | | | ALPHA: (13) implies:
% 197.69/34.55  | | |   (14)  op(e2, e2) = e3
% 197.69/34.55  | | | 
% 197.69/34.55  | | | REF_CLOSE: (2), (3), (9), (14) are inconsistent by sub-proof #1679.
% 197.69/34.55  | | | 
% 197.69/34.55  | | Case 2:
% 197.69/34.55  | | | 
% 197.69/34.55  | | |   (15)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.69/34.55  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.69/34.55  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.69/34.55  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.69/34.55  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.69/34.55  | | | 
% 197.69/34.55  | | | REF_CLOSE: (1), (2), (6), (7), (11), (15) are inconsistent by sub-proof
% 197.69/34.55  | | |            #1635.
% 197.69/34.55  | | | 
% 197.69/34.55  | | End of split
% 197.69/34.55  | | 
% 197.69/34.55  | Case 2:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (16)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.69/34.55  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.69/34.55  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.69/34.55  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.69/34.55  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.69/34.55  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.69/34.55  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.55  | |           $i(all_57_7))
% 197.69/34.55  | | 
% 197.69/34.55  | | BETA: splitting (16) gives:
% 197.69/34.55  | | 
% 197.69/34.55  | | Case 1:
% 197.69/34.55  | | | 
% 197.69/34.55  | | |   (17)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.69/34.55  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.69/34.55  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 197.69/34.55  | | | 
% 197.69/34.55  | | | ALPHA: (17) implies:
% 197.69/34.55  | | |   (18)  op(e1, e1) = e2
% 197.69/34.55  | | | 
% 197.69/34.55  | | | REF_CLOSE: (2), (7), (10), (18) are inconsistent by sub-proof #1821.
% 197.69/34.55  | | | 
% 197.69/34.55  | | Case 2:
% 197.69/34.55  | | | 
% 197.69/34.55  | | |   (19)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.69/34.55  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.69/34.55  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.69/34.55  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 197.69/34.55  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.69/34.55  | | | 
% 197.69/34.55  | | | REF_CLOSE: (2), (5), (6), (8), (9), (19) are inconsistent by sub-proof
% 197.69/34.55  | | |            #1634.
% 197.69/34.55  | | | 
% 197.69/34.55  | | End of split
% 197.69/34.55  | | 
% 197.69/34.55  | End of split
% 197.69/34.55  | 
% 197.69/34.55  End of proof
% 197.69/34.55  
% 197.69/34.55  Sub-proof #1634 shows that the following formulas are inconsistent:
% 197.69/34.55  ----------------------------------------------------------------
% 197.69/34.55    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.55    (2)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.69/34.55             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.69/34.55           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 197.69/34.55           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 197.69/34.55             e1) = e0 & $i(all_57_7))
% 197.69/34.55    (3)  op(e0, e1) = all_52_11
% 197.69/34.55    (4)  op(e3, e3) = e3
% 197.69/34.55    (5)   ~ (all_52_11 = e0)
% 197.69/34.55    (6)   ~ (e3 = e1)
% 197.69/34.55  
% 197.69/34.55  Begin of proof
% 197.69/34.55  | 
% 197.69/34.55  | BETA: splitting (2) gives:
% 197.69/34.55  | 
% 197.69/34.55  | Case 1:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.69/34.55  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.69/34.55  | |        $i(all_57_6)
% 197.69/34.55  | | 
% 197.69/34.55  | | ALPHA: (7) implies:
% 197.69/34.55  | |   (8)  op(e3, e3) = e1
% 197.69/34.55  | | 
% 197.69/34.55  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1966.
% 197.69/34.55  | | 
% 197.69/34.55  | Case 2:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.69/34.55  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.69/34.55  | |        $i(all_57_7)
% 197.69/34.55  | | 
% 197.69/34.55  | | ALPHA: (9) implies:
% 197.69/34.55  | |   (10)  op(e0, e1) = e0
% 197.69/34.55  | | 
% 197.69/34.55  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1931.
% 197.69/34.55  | | 
% 197.69/34.55  | End of split
% 197.69/34.55  | 
% 197.69/34.55  End of proof
% 197.69/34.55  
% 197.69/34.55  Sub-proof #1635 shows that the following formulas are inconsistent:
% 197.69/34.55  ----------------------------------------------------------------
% 197.69/34.55    (1)   ~ (e3 = e2)
% 197.69/34.55    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.55    (3)  op(e3, e3) = e3
% 197.69/34.55    (4)  op(e1, e1) = e0
% 197.69/34.55    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.69/34.55             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.69/34.55           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.69/34.55           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 197.69/34.55             e2) = e0 & $i(all_57_3))
% 197.69/34.55    (6)   ~ (e3 = e0)
% 197.69/34.55  
% 197.69/34.55  Begin of proof
% 197.69/34.55  | 
% 197.69/34.55  | BETA: splitting (5) gives:
% 197.69/34.55  | 
% 197.69/34.55  | Case 1:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.69/34.55  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.69/34.55  | |        $i(all_57_1)
% 197.69/34.55  | | 
% 197.69/34.55  | | ALPHA: (7) implies:
% 197.69/34.55  | |   (8)  op(e1, e1) = e3
% 197.69/34.55  | | 
% 197.69/34.55  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1824.
% 197.69/34.55  | | 
% 197.69/34.55  | Case 2:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.69/34.55  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.69/34.55  | |        $i(all_57_3)
% 197.69/34.55  | | 
% 197.69/34.55  | | ALPHA: (9) implies:
% 197.69/34.55  | |   (10)  op(e3, e3) = e2
% 197.69/34.55  | | 
% 197.69/34.55  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1957.
% 197.69/34.55  | | 
% 197.69/34.55  | End of split
% 197.69/34.55  | 
% 197.69/34.55  End of proof
% 197.69/34.55  
% 197.69/34.55  Sub-proof #1636 shows that the following formulas are inconsistent:
% 197.69/34.55  ----------------------------------------------------------------
% 197.69/34.55    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.55    (2)  op(e1, e1) = all_57_14
% 197.69/34.55    (3)  op(e1, e1) = e0
% 197.69/34.55    (4)   ~ (all_57_14 = e0)
% 197.69/34.55  
% 197.69/34.55  Begin of proof
% 197.69/34.55  | 
% 197.69/34.55  | GROUND_INST: instantiating (1) with e0, all_57_14, e1, e1, simplifying with
% 197.69/34.55  |              (2), (3) gives:
% 197.69/34.55  |   (5)  all_57_14 = e0
% 197.69/34.55  | 
% 197.69/34.55  | REDUCE: (4), (5) imply:
% 197.69/34.55  |   (6)  $false
% 197.69/34.55  | 
% 197.69/34.55  | CLOSE: (6) is inconsistent.
% 197.69/34.55  | 
% 197.69/34.55  End of proof
% 197.69/34.55  
% 197.69/34.55  Sub-proof #1637 shows that the following formulas are inconsistent:
% 197.69/34.55  ----------------------------------------------------------------
% 197.69/34.55    (1)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.69/34.55    (2)   ~ (all_14_2 = e1)
% 197.69/34.55    (3)   ~ (e3 = e2)
% 197.69/34.55    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.55    (5)  op(e3, e2) = all_52_4
% 197.69/34.55    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.69/34.55         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.69/34.55    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.69/34.55         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.69/34.55    (8)  op(e2, e0) = e2
% 197.69/34.55    (9)  op(e2, e0) = all_52_13
% 197.69/34.55    (10)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.55    (11)   ~ (all_52_12 = all_14_2)
% 197.69/34.55    (12)   ~ (all_52_4 = all_4_2)
% 197.69/34.55    (13)  op(e3, e3) = e3
% 197.69/34.55    (14)   ~ (all_4_2 = e1)
% 197.69/34.55    (15)  op(e1, e1) = e0
% 197.69/34.55    (16)   ~ (all_14_2 = e3)
% 197.69/34.55    (17)   ~ (all_4_2 = e3)
% 197.69/34.55    (18)   ~ (all_14_2 = e2)
% 197.69/34.55    (19)  all_54_15 = all_14_2
% 197.69/34.55    (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.69/34.55          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.69/34.55    (21)  all_54_5 = all_4_2
% 197.69/34.55    (22)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.69/34.55          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.69/34.55    (23)   ~ (e2 = e1)
% 197.69/34.55    (24)   ~ (all_52_13 = all_4_2)
% 197.69/34.55    (25)  op(e3, e0) = all_52_12
% 197.69/34.55    (26)   ~ (e3 = e1)
% 197.69/34.55  
% 197.69/34.55  Begin of proof
% 197.69/34.55  | 
% 197.69/34.55  | BETA: splitting (10) gives:
% 197.69/34.55  | 
% 197.69/34.55  | Case 1:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (27)  all_54_15 = e3
% 197.69/34.55  | | 
% 197.69/34.55  | | COMBINE_EQS: (19), (27) imply:
% 197.69/34.55  | |   (28)  all_14_2 = e3
% 197.69/34.55  | | 
% 197.69/34.55  | | REDUCE: (16), (28) imply:
% 197.69/34.55  | |   (29)  $false
% 197.69/34.55  | | 
% 197.69/34.55  | | CLOSE: (29) is inconsistent.
% 197.69/34.55  | | 
% 197.69/34.55  | Case 2:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (30)   ~ (all_54_15 = e3)
% 197.69/34.55  | |   (31)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.55  | | 
% 197.69/34.55  | | BETA: splitting (31) gives:
% 197.69/34.55  | | 
% 197.69/34.55  | | Case 1:
% 197.69/34.55  | | | 
% 197.69/34.55  | | |   (32)  all_54_15 = e2
% 197.69/34.55  | | | 
% 197.69/34.55  | | | COMBINE_EQS: (19), (32) imply:
% 197.69/34.55  | | |   (33)  all_14_2 = e2
% 197.69/34.55  | | | 
% 197.69/34.55  | | | REDUCE: (18), (33) imply:
% 197.69/34.55  | | |   (34)  $false
% 197.69/34.55  | | | 
% 197.69/34.55  | | | CLOSE: (34) is inconsistent.
% 197.69/34.55  | | | 
% 197.69/34.55  | | Case 2:
% 197.69/34.55  | | | 
% 197.69/34.55  | | |   (35)   ~ (all_54_15 = e2)
% 197.69/34.55  | | |   (36)  all_54_15 = e1 | all_54_15 = e0
% 197.69/34.55  | | | 
% 197.69/34.55  | | | BETA: splitting (36) gives:
% 197.69/34.55  | | | 
% 197.69/34.55  | | | Case 1:
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | |   (37)  all_54_15 = e1
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | COMBINE_EQS: (19), (37) imply:
% 197.69/34.55  | | | |   (38)  all_14_2 = e1
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | REDUCE: (2), (38) imply:
% 197.69/34.55  | | | |   (39)  $false
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | CLOSE: (39) is inconsistent.
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | Case 2:
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | |   (40)  all_54_15 = e0
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | COMBINE_EQS: (19), (40) imply:
% 197.69/34.55  | | | |   (41)  all_14_2 = e0
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | REDUCE: (11), (41) imply:
% 197.69/34.55  | | | |   (42)   ~ (all_52_12 = e0)
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | REDUCE: (16), (41) imply:
% 197.69/34.55  | | | |   (43)   ~ (e3 = e0)
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | SIMP: (43) implies:
% 197.69/34.55  | | | |   (44)   ~ (e3 = e0)
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | REDUCE: (18), (41) imply:
% 197.69/34.55  | | | |   (45)   ~ (e2 = e0)
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | SIMP: (45) implies:
% 197.69/34.55  | | | |   (46)   ~ (e2 = e0)
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | REDUCE: (2), (41) imply:
% 197.69/34.55  | | | |   (47)   ~ (e1 = e0)
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | SIMP: (47) implies:
% 197.69/34.55  | | | |   (48)   ~ (e1 = e0)
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (12), (13), (14),
% 197.69/34.55  | | | |            (15), (17), (20), (21), (22), (23), (24), (25), (26), (42),
% 197.69/34.55  | | | |            (44), (46), (48) are inconsistent by sub-proof #1638.
% 197.69/34.55  | | | | 
% 197.69/34.55  | | | End of split
% 197.69/34.55  | | | 
% 197.69/34.55  | | End of split
% 197.69/34.55  | | 
% 197.69/34.55  | End of split
% 197.69/34.55  | 
% 197.69/34.55  End of proof
% 197.69/34.55  
% 197.69/34.55  Sub-proof #1638 shows that the following formulas are inconsistent:
% 197.69/34.55  ----------------------------------------------------------------
% 197.69/34.55    (1)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.69/34.55    (2)   ~ (e3 = e2)
% 197.69/34.55    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.55    (4)  op(e3, e2) = all_52_4
% 197.69/34.55    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.69/34.55         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.69/34.55    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.69/34.55         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.69/34.55    (7)  op(e2, e0) = e2
% 197.69/34.55    (8)  op(e2, e0) = all_52_13
% 197.69/34.55    (9)   ~ (all_52_12 = e0)
% 197.69/34.55    (10)   ~ (all_52_4 = all_4_2)
% 197.69/34.55    (11)  op(e3, e3) = e3
% 197.69/34.55    (12)   ~ (all_4_2 = e1)
% 197.69/34.55    (13)  op(e1, e1) = e0
% 197.69/34.55    (14)   ~ (all_4_2 = e3)
% 197.69/34.55    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.69/34.55          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.69/34.55    (16)   ~ (e1 = e0)
% 197.69/34.55    (17)  all_54_5 = all_4_2
% 197.69/34.55    (18)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.69/34.55          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.69/34.55    (19)   ~ (e2 = e1)
% 197.69/34.55    (20)   ~ (all_52_13 = all_4_2)
% 197.69/34.55    (21)  op(e3, e0) = all_52_12
% 197.69/34.55    (22)   ~ (e3 = e1)
% 197.69/34.55    (23)   ~ (e2 = e0)
% 197.69/34.55    (24)   ~ (e3 = e0)
% 197.69/34.55  
% 197.69/34.55  Begin of proof
% 197.69/34.55  | 
% 197.69/34.55  | BETA: splitting (15) gives:
% 197.69/34.55  | 
% 197.69/34.55  | Case 1:
% 197.69/34.55  | | 
% 197.69/34.55  | |   (25)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 197.69/34.55  | |           e0)
% 197.69/34.55  | | 
% 197.69/34.55  | | BETA: splitting (25) gives:
% 197.69/34.55  | | 
% 197.69/34.55  | | Case 1:
% 197.69/34.55  | | | 
% 197.69/34.55  | | |   (26)  all_56_0 = e0 & op(e3, e3) = e0
% 197.69/34.55  | | | 
% 197.69/34.55  | | | ALPHA: (26) implies:
% 197.69/34.55  | | |   (27)  op(e3, e3) = e0
% 197.69/34.55  | | | 
% 197.69/34.55  | | | REF_CLOSE: (3), (11), (24), (27) are inconsistent by sub-proof #1961.
% 197.69/34.55  | | | 
% 197.69/34.55  | | Case 2:
% 197.69/34.55  | | | 
% 197.69/34.55  | | |   (28)  all_56_1 = e0 & op(e3, e2) = e0
% 197.69/34.55  | | | 
% 197.69/34.55  | | | ALPHA: (28) implies:
% 197.69/34.55  | | |   (29)  op(e3, e2) = e0
% 197.69/34.55  | | | 
% 197.69/34.55  | | | GROUND_INST: instantiating (3) with all_52_13, e2, e0, e2, simplifying
% 197.69/34.55  | | |              with (7), (8) gives:
% 197.69/34.55  | | |   (30)  all_52_13 = e2
% 197.69/34.55  | | | 
% 197.69/34.55  | | | GROUND_INST: instantiating (3) with all_52_4, e0, e2, e3, simplifying with
% 197.69/34.55  | | |              (4), (29) gives:
% 197.69/34.55  | | |   (31)  all_52_4 = e0
% 197.69/34.55  | | | 
% 197.69/34.55  | | | REDUCE: (10), (31) imply:
% 197.69/34.55  | | |   (32)   ~ (all_4_2 = e0)
% 197.69/34.55  | | | 
% 197.69/34.55  | | | REF_CLOSE: (1), (12), (14), (17), (20), (30), (32) are inconsistent by
% 197.69/34.55  | | |            sub-proof #1640.
% 197.69/34.55  | | | 
% 197.69/34.55  | | End of split
% 197.69/34.55  | | 
% 197.69/34.55  | Case 2:
% 197.69/34.55  | | 
% 197.69/34.56  | |   (33)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 197.69/34.56  | |           e0)
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (2), (3), (5), (6), (9), (13), (16), (18), (19), (21), (22),
% 197.69/34.56  | |            (23), (24), (33) are inconsistent by sub-proof #1639.
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1639 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)   ~ (e3 = e2)
% 197.69/34.56    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.69/34.56         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.69/34.56    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.69/34.56         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.69/34.56    (5)   ~ (all_52_12 = e0)
% 197.69/34.56    (6)  op(e1, e1) = e0
% 197.69/34.56    (7)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.69/34.56    (8)   ~ (e1 = e0)
% 197.69/34.56    (9)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.69/34.56         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.69/34.56    (10)   ~ (e2 = e1)
% 197.69/34.56    (11)  op(e3, e0) = all_52_12
% 197.69/34.56    (12)   ~ (e3 = e1)
% 197.69/34.56    (13)   ~ (e2 = e0)
% 197.69/34.56    (14)   ~ (e3 = e0)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (7) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (15)  all_56_4 = e0 & op(e3, e1) = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | ALPHA: (15) implies:
% 197.69/34.56  | |   (16)  all_56_4 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (12), (13), (14), (16)
% 197.69/34.56  | |            are inconsistent by sub-proof #1809.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (17)  all_56_9 = e0 & op(e3, e0) = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | ALPHA: (17) implies:
% 197.69/34.56  | |   (18)  op(e3, e0) = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (2), (5), (11), (18) are inconsistent by sub-proof #1799.
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1640 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.69/34.56    (2)  all_52_13 = e2
% 197.69/34.56    (3)   ~ (all_4_2 = e1)
% 197.69/34.56    (4)   ~ (all_4_2 = e3)
% 197.69/34.56    (5)  all_54_5 = all_4_2
% 197.69/34.56    (6)   ~ (all_52_13 = all_4_2)
% 197.69/34.56    (7)   ~ (all_4_2 = e0)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | SIMP: (7) implies:
% 197.69/34.56  |   (8)   ~ (all_4_2 = e0)
% 197.69/34.56  | 
% 197.69/34.56  | REDUCE: (2), (6) imply:
% 197.69/34.56  |   (9)   ~ (all_4_2 = e2)
% 197.69/34.56  | 
% 197.69/34.56  | SIMP: (9) implies:
% 197.69/34.56  |   (10)   ~ (all_4_2 = e2)
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (1) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (11)  all_54_5 = e3
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (4), (5), (11) are inconsistent by sub-proof #1948.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (12)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | BETA: splitting (12) gives:
% 197.69/34.56  | | 
% 197.69/34.56  | | Case 1:
% 197.69/34.56  | | | 
% 197.69/34.56  | | |   (13)  all_54_5 = e2
% 197.69/34.56  | | | 
% 197.69/34.56  | | | COMBINE_EQS: (5), (13) imply:
% 197.69/34.56  | | |   (14)  all_4_2 = e2
% 197.69/34.56  | | | 
% 197.69/34.56  | | | REDUCE: (10), (14) imply:
% 197.69/34.56  | | |   (15)  $false
% 197.69/34.56  | | | 
% 197.69/34.56  | | | CLOSE: (15) is inconsistent.
% 197.69/34.56  | | | 
% 197.69/34.56  | | Case 2:
% 197.69/34.56  | | | 
% 197.69/34.56  | | |   (16)  all_54_5 = e1 | all_54_5 = e0
% 197.69/34.56  | | | 
% 197.69/34.56  | | | REF_CLOSE: (3), (5), (8), (16) are inconsistent by sub-proof #1941.
% 197.69/34.56  | | | 
% 197.69/34.56  | | End of split
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1641 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  op(e0, e0) = all_14_2
% 197.69/34.56    (2)   ~ (all_14_2 = e1)
% 197.69/34.56    (3)  op(e0, e0) = e1
% 197.69/34.56    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (5)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56    (6)   ~ (all_14_2 = e3)
% 197.69/34.56    (7)   ~ (all_14_2 = e2)
% 197.69/34.56    (8)  all_54_15 = all_14_2
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (5) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (9)  all_54_15 = e3
% 197.69/34.56  | | 
% 197.69/34.56  | | COMBINE_EQS: (8), (9) imply:
% 197.69/34.56  | |   (10)  all_14_2 = e3
% 197.69/34.56  | | 
% 197.69/34.56  | | REDUCE: (6), (10) imply:
% 197.69/34.56  | |   (11)  $false
% 197.69/34.56  | | 
% 197.69/34.56  | | CLOSE: (11) is inconsistent.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (12)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | BETA: splitting (12) gives:
% 197.69/34.56  | | 
% 197.69/34.56  | | Case 1:
% 197.69/34.56  | | | 
% 197.69/34.56  | | |   (13)  all_54_15 = e2
% 197.69/34.56  | | | 
% 197.69/34.56  | | | COMBINE_EQS: (8), (13) imply:
% 197.69/34.56  | | |   (14)  all_14_2 = e2
% 197.69/34.56  | | | 
% 197.69/34.56  | | | REDUCE: (7), (14) imply:
% 197.69/34.56  | | |   (15)  $false
% 197.69/34.56  | | | 
% 197.69/34.56  | | | CLOSE: (15) is inconsistent.
% 197.69/34.56  | | | 
% 197.69/34.56  | | Case 2:
% 197.69/34.56  | | | 
% 197.69/34.56  | | |   (16)  all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56  | | | 
% 197.69/34.56  | | | REF_CLOSE: (1), (2), (3), (4), (8), (16) are inconsistent by sub-proof
% 197.69/34.56  | | |            #1642.
% 197.69/34.56  | | | 
% 197.69/34.56  | | End of split
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1642 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  op(e0, e0) = all_14_2
% 197.69/34.56    (2)   ~ (all_14_2 = e1)
% 197.69/34.56    (3)  op(e0, e0) = e1
% 197.69/34.56    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (5)  all_54_15 = all_14_2
% 197.69/34.56    (6)  all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (6) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (7)  all_54_15 = e1
% 197.69/34.56  | | 
% 197.69/34.56  | | COMBINE_EQS: (5), (7) imply:
% 197.69/34.56  | |   (8)  all_14_2 = e1
% 197.69/34.56  | | 
% 197.69/34.56  | | REDUCE: (2), (8) imply:
% 197.69/34.56  | |   (9)  $false
% 197.69/34.56  | | 
% 197.69/34.56  | | CLOSE: (9) is inconsistent.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (10)  all_54_15 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | COMBINE_EQS: (5), (10) imply:
% 197.69/34.56  | |   (11)  all_14_2 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REDUCE: (2), (11) imply:
% 197.69/34.56  | |   (12)   ~ (e1 = e0)
% 197.69/34.56  | | 
% 197.69/34.56  | | SIMP: (12) implies:
% 197.69/34.56  | |   (13)   ~ (e1 = e0)
% 197.69/34.56  | | 
% 197.69/34.56  | | REDUCE: (1), (11) imply:
% 197.69/34.56  | |   (14)  op(e0, e0) = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (3), (4), (13), (14) are inconsistent by sub-proof #1943.
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1643 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  op(e0, e0) = all_14_2
% 197.69/34.56    (2)   ~ (all_14_2 = e1)
% 197.69/34.56    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (4)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56    (5)   ~ (all_14_2 = e3)
% 197.69/34.56    (6)   ~ (all_14_2 = e2)
% 197.69/34.56    (7)  all_54_15 = all_14_2
% 197.69/34.56    (8)  op(e0, e0) = e2
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (4) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (9)  all_54_15 = e3
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (5), (7), (9) are inconsistent by sub-proof #1675.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (10)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (10) are inconsistent by sub-proof
% 197.69/34.56  | |            #1644.
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1644 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  op(e0, e0) = all_14_2
% 197.69/34.56    (2)   ~ (all_14_2 = e1)
% 197.69/34.56    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (4)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56    (5)   ~ (all_14_2 = e2)
% 197.69/34.56    (6)  all_54_15 = all_14_2
% 197.69/34.56    (7)  op(e0, e0) = e2
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (4) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (8)  all_54_15 = e2
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (5), (6), (8) are inconsistent by sub-proof #1648.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (9)   ~ (all_54_15 = e2)
% 197.69/34.56  | |   (10)  all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (10) are inconsistent by sub-proof
% 197.69/34.56  | |            #1645.
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1645 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  op(e0, e0) = all_14_2
% 197.69/34.56    (2)   ~ (all_14_2 = e1)
% 197.69/34.56    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (4)   ~ (all_14_2 = e2)
% 197.69/34.56    (5)  all_54_15 = all_14_2
% 197.69/34.56    (6)  op(e0, e0) = e2
% 197.69/34.56    (7)  all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (7) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (8)  all_54_15 = e1
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #1660.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (9)  all_54_15 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | COMBINE_EQS: (5), (9) imply:
% 197.69/34.56  | |   (10)  all_14_2 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | SIMP: (10) implies:
% 197.69/34.56  | |   (11)  all_14_2 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REDUCE: (4), (11) imply:
% 197.69/34.56  | |   (12)   ~ (e2 = e0)
% 197.69/34.56  | | 
% 197.69/34.56  | | SIMP: (12) implies:
% 197.69/34.56  | |   (13)   ~ (e2 = e0)
% 197.69/34.56  | | 
% 197.69/34.56  | | REDUCE: (1), (11) imply:
% 197.69/34.56  | |   (14)  op(e0, e0) = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (3), (6), (13), (14) are inconsistent by sub-proof #1945.
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1646 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  op(e0, e0) = all_14_2
% 197.69/34.56    (2)   ~ (all_14_2 = e1)
% 197.69/34.56    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (4)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56    (5)   ~ (all_14_2 = e3)
% 197.69/34.56    (6)   ~ (all_14_2 = e2)
% 197.69/34.56    (7)  all_54_15 = all_14_2
% 197.69/34.56    (8)  op(e0, e0) = e3
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (4) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (9)  all_54_15 = e3
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (5), (7), (9) are inconsistent by sub-proof #1675.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (10)   ~ (all_54_15 = e3)
% 197.69/34.56  | |   (11)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | BETA: splitting (11) gives:
% 197.69/34.56  | | 
% 197.69/34.56  | | Case 1:
% 197.69/34.56  | | | 
% 197.69/34.56  | | |   (12)  all_54_15 = e2
% 197.69/34.56  | | | 
% 197.69/34.56  | | | REF_CLOSE: (6), (7), (12) are inconsistent by sub-proof #1648.
% 197.69/34.56  | | | 
% 197.69/34.56  | | Case 2:
% 197.69/34.56  | | | 
% 197.69/34.56  | | |   (13)  all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56  | | | 
% 197.69/34.56  | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (13) are inconsistent by
% 197.69/34.56  | | |            sub-proof #1647.
% 197.69/34.56  | | | 
% 197.69/34.56  | | End of split
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1647 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  op(e0, e0) = all_14_2
% 197.69/34.56    (2)   ~ (all_14_2 = e1)
% 197.69/34.56    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (4)   ~ (all_14_2 = e3)
% 197.69/34.56    (5)  all_54_15 = all_14_2
% 197.69/34.56    (6)  op(e0, e0) = e3
% 197.69/34.56    (7)  all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (7) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (8)  all_54_15 = e1
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #1660.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (9)  all_54_15 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | COMBINE_EQS: (5), (9) imply:
% 197.69/34.56  | |   (10)  all_14_2 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | SIMP: (10) implies:
% 197.69/34.56  | |   (11)  all_14_2 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REDUCE: (4), (11) imply:
% 197.69/34.56  | |   (12)   ~ (e3 = e0)
% 197.69/34.56  | | 
% 197.69/34.56  | | SIMP: (12) implies:
% 197.69/34.56  | |   (13)   ~ (e3 = e0)
% 197.69/34.56  | | 
% 197.69/34.56  | | REDUCE: (1), (11) imply:
% 197.69/34.56  | |   (14)  op(e0, e0) = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (3), (6), (13), (14) are inconsistent by sub-proof #1947.
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1648 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  all_54_15 = all_14_2
% 197.69/34.56    (2)  all_54_15 = e2
% 197.69/34.56    (3)   ~ (all_14_2 = e2)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.56  |   (4)  all_14_2 = e2
% 197.69/34.56  | 
% 197.69/34.56  | SIMP: (4) implies:
% 197.69/34.56  |   (5)  all_14_2 = e2
% 197.69/34.56  | 
% 197.69/34.56  | REDUCE: (3), (5) imply:
% 197.69/34.56  |   (6)  $false
% 197.69/34.56  | 
% 197.69/34.56  | CLOSE: (6) is inconsistent.
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1649 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (2)  op(e0, e2) = all_52_7
% 197.69/34.56    (3)  op(e0, e2) = e1
% 197.69/34.56    (4)   ~ (all_52_7 = e1)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | GROUND_INST: instantiating (1) with all_52_7, e1, e2, e0, simplifying with
% 197.69/34.56  |              (2), (3) gives:
% 197.69/34.56  |   (5)  all_52_7 = e1
% 197.69/34.56  | 
% 197.69/34.56  | REDUCE: (4), (5) imply:
% 197.69/34.56  |   (6)  $false
% 197.69/34.56  | 
% 197.69/34.56  | CLOSE: (6) is inconsistent.
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1650 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (2)  op(e2, e0) = all_52_13
% 197.69/34.56    (3)  op(e2, e0) = e1
% 197.69/34.56    (4)   ~ (all_52_13 = e1)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | GROUND_INST: instantiating (1) with all_52_13, e1, e0, e2, simplifying with
% 197.69/34.56  |              (2), (3) gives:
% 197.69/34.56  |   (5)  all_52_13 = e1
% 197.69/34.56  | 
% 197.69/34.56  | REDUCE: (4), (5) imply:
% 197.69/34.56  |   (6)  $false
% 197.69/34.56  | 
% 197.69/34.56  | CLOSE: (6) is inconsistent.
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1651 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)   ~ (all_52_7 = e0)
% 197.69/34.56    (2)   ~ (all_52_7 = e2)
% 197.69/34.56    (3)  all_54_13 = all_52_7
% 197.69/34.56    (4)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 197.69/34.56    (5)   ~ (all_52_7 = e1)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (4) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (6)  all_54_13 = e2
% 197.69/34.56  | | 
% 197.69/34.56  | | COMBINE_EQS: (3), (6) imply:
% 197.69/34.56  | |   (7)  all_52_7 = e2
% 197.69/34.56  | | 
% 197.69/34.56  | | REDUCE: (2), (7) imply:
% 197.69/34.56  | |   (8)  $false
% 197.69/34.56  | | 
% 197.69/34.56  | | CLOSE: (8) is inconsistent.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (9)  all_54_13 = e1 | all_54_13 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #1652.
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1652 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  all_54_13 = e1 | all_54_13 = e0
% 197.69/34.56    (2)  all_54_13 = all_52_7
% 197.69/34.56    (3)   ~ (all_52_7 = e1)
% 197.69/34.56    (4)   ~ (all_52_7 = e0)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (1) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (5)  all_54_13 = e1
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1654.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (6)  all_54_13 = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1653.
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1653 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  all_54_13 = all_52_7
% 197.69/34.56    (2)  all_54_13 = e0
% 197.69/34.56    (3)   ~ (all_52_7 = e0)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.56  |   (4)  all_52_7 = e0
% 197.69/34.56  | 
% 197.69/34.56  | SIMP: (4) implies:
% 197.69/34.56  |   (5)  all_52_7 = e0
% 197.69/34.56  | 
% 197.69/34.56  | REDUCE: (3), (5) imply:
% 197.69/34.56  |   (6)  $false
% 197.69/34.56  | 
% 197.69/34.56  | CLOSE: (6) is inconsistent.
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1654 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)  all_54_13 = all_52_7
% 197.69/34.56    (2)  all_54_13 = e1
% 197.69/34.56    (3)   ~ (all_52_7 = e1)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.56  |   (4)  all_52_7 = e1
% 197.69/34.56  | 
% 197.69/34.56  | SIMP: (4) implies:
% 197.69/34.56  |   (5)  all_52_7 = e1
% 197.69/34.56  | 
% 197.69/34.56  | REDUCE: (3), (5) imply:
% 197.69/34.56  |   (6)  $false
% 197.69/34.56  | 
% 197.69/34.56  | CLOSE: (6) is inconsistent.
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1655 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (2)  op(e0, e3) = all_52_3
% 197.69/34.56    (3)  op(e0, e1) = e0
% 197.69/34.56    (4)  op(e0, e1) = all_52_11
% 197.69/34.56    (5)  op(e0, e2) = all_28_1
% 197.69/34.56    (6)  all_56_14 = e3
% 197.69/34.56    (7)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.69/34.56         (all_56_14 = e0 & op(e0, e1) = e0)
% 197.69/34.56    (8)  op(e0, e2) = e3
% 197.69/34.56    (9)   ~ (e3 = e0)
% 197.69/34.56    (10)   ~ (all_52_3 = all_52_11)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (7) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (11)  all_56_12 = e0 & op(e0, e3) = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | ALPHA: (11) implies:
% 197.69/34.56  | |   (12)  op(e0, e3) = e0
% 197.69/34.56  | | 
% 197.69/34.56  | | REF_CLOSE: (1), (2), (3), (4), (10), (12) are inconsistent by sub-proof
% 197.69/34.56  | |            #1671.
% 197.69/34.56  | | 
% 197.69/34.56  | Case 2:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (13)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.69/34.56  | |           e0)
% 197.69/34.56  | | 
% 197.69/34.56  | | BETA: splitting (13) gives:
% 197.69/34.56  | | 
% 197.69/34.56  | | Case 1:
% 197.69/34.56  | | | 
% 197.69/34.56  | | |   (14)  all_56_13 = e0 & op(e0, e2) = e0
% 197.69/34.56  | | | 
% 197.69/34.56  | | | ALPHA: (14) implies:
% 197.69/34.56  | | |   (15)  op(e0, e2) = e0
% 197.69/34.56  | | | 
% 197.69/34.56  | | | REF_CLOSE: (1), (5), (8), (9), (15) are inconsistent by sub-proof #1668.
% 197.69/34.56  | | | 
% 197.69/34.56  | | Case 2:
% 197.69/34.56  | | | 
% 197.69/34.56  | | |   (16)  all_56_14 = e0 & op(e0, e1) = e0
% 197.69/34.56  | | | 
% 197.69/34.56  | | | REF_CLOSE: (6), (9), (16) are inconsistent by sub-proof #1745.
% 197.69/34.56  | | | 
% 197.69/34.56  | | End of split
% 197.69/34.56  | | 
% 197.69/34.56  | End of split
% 197.69/34.56  | 
% 197.69/34.56  End of proof
% 197.69/34.56  
% 197.69/34.56  Sub-proof #1656 shows that the following formulas are inconsistent:
% 197.69/34.56  ----------------------------------------------------------------
% 197.69/34.56    (1)   ~ (all_52_4 = e3)
% 197.69/34.56    (2)  all_57_8 = e0
% 197.69/34.56    (3)  op(e0, e0) = all_14_2
% 197.69/34.56    (4)   ~ (all_14_2 = e1)
% 197.69/34.56    (5)  all_54_2 = all_52_8
% 197.69/34.56    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.56    (7)   ~ (all_52_13 = all_14_2)
% 197.69/34.56    (8)  op(e2, e2) = all_4_2
% 197.69/34.56    (9)  op(e2, e2) = e1
% 197.69/34.56    (10)   ~ (all_52_4 = all_52_8)
% 197.69/34.56    (11)   ~ (all_52_8 = e3)
% 197.69/34.56    (12)  op(e2, e0) = all_52_13
% 197.69/34.56    (13)   ~ (all_14_2 = e0)
% 197.69/34.56    (14)   ~ (all_52_9 = e2)
% 197.69/34.56    (15)   ~ (all_52_8 = e1)
% 197.69/34.56    (16)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56    (17)   ~ (all_4_2 = e3)
% 197.69/34.56    (18)  all_54_15 = all_14_2
% 197.69/34.56    (19)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 197.69/34.56    (20)   ~ (all_52_4 = e1)
% 197.69/34.56    (21)   ~ (e2 = e1)
% 197.69/34.56    (22)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.69/34.56          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.69/34.56    (23)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.69/34.56    (24)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3)
% 197.69/34.56              | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.69/34.56            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.69/34.56                = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3)
% 197.69/34.56              | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.69/34.56          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2)
% 197.69/34.56              | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.69/34.56            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.69/34.56                = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2)
% 197.69/34.56              | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.69/34.56          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1)
% 197.69/34.56              | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.69/34.56            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.69/34.56                = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1)
% 197.69/34.56              | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.69/34.56          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0)
% 197.69/34.56              | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.69/34.56            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.69/34.56                  e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.69/34.56                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.69/34.56                $i(all_57_13))))
% 197.69/34.56    (25)  all_57_15 = all_14_2
% 197.69/34.56    (26)  op(e2, e1) = all_52_9
% 197.69/34.56    (27)   ~ (e3 = e1)
% 197.69/34.56    (28)  all_54_1 = all_52_4
% 197.69/34.56    (29)   ~ (all_52_8 = e0)
% 197.69/34.56  
% 197.69/34.56  Begin of proof
% 197.69/34.56  | 
% 197.69/34.56  | BETA: splitting (24) gives:
% 197.69/34.56  | 
% 197.69/34.56  | Case 1:
% 197.69/34.56  | | 
% 197.69/34.56  | |   (30)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 197.69/34.56  | |               e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.69/34.56  | |               $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.69/34.56  | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.69/34.56  | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.69/34.56  | |                 e3) = all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 197.69/34.56  | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 197.69/34.56  | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 197.69/34.56  | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 197.69/34.56  | |               all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) =
% 197.69/34.56  | |               e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.69/34.56  | |               $i(all_57_5))))
% 197.69/34.56  | | 
% 197.69/34.56  | | BETA: splitting (30) gives:
% 197.69/34.56  | | 
% 197.69/34.56  | | Case 1:
% 197.69/34.56  | | | 
% 197.69/34.56  | | |   (31)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 197.69/34.56  | | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.69/34.56  | | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.69/34.56  | | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.69/34.56  | | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.69/34.56  | | |               e3) = all_57_2 & $i(all_57_2)))
% 197.69/34.56  | | | 
% 197.69/34.56  | | | ALPHA: (31) implies:
% 197.69/34.56  | | |   (32)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 197.69/34.56  | | |             e3) = all_57_0 & $i(all_57_0))
% 197.69/34.56  | | | 
% 197.69/34.56  | | | BETA: splitting (16) gives:
% 197.69/34.56  | | | 
% 197.69/34.56  | | | Case 1:
% 197.69/34.56  | | | | 
% 197.69/34.56  | | | |   (33)  all_54_15 = e2
% 197.69/34.56  | | | | 
% 197.69/34.56  | | | | COMBINE_EQS: (18), (33) imply:
% 197.69/34.56  | | | |   (34)  all_14_2 = e2
% 197.69/34.56  | | | | 
% 197.69/34.56  | | | | SIMP: (34) implies:
% 197.69/34.56  | | | |   (35)  all_14_2 = e2
% 197.69/34.56  | | | | 
% 197.69/34.56  | | | | REDUCE: (7), (35) imply:
% 197.69/34.56  | | | |   (36)   ~ (all_52_13 = e2)
% 197.69/34.56  | | | | 
% 197.69/34.56  | | | | BETA: splitting (19) gives:
% 197.69/34.56  | | | | 
% 197.69/34.56  | | | | Case 1:
% 197.69/34.56  | | | | | 
% 197.69/34.56  | | | | |   (37)  all_54_2 = e3
% 197.69/34.56  | | | | | 
% 197.69/34.56  | | | | | REF_CLOSE: (5), (11), (37) are inconsistent by sub-proof #1762.
% 197.69/34.56  | | | | | 
% 197.69/34.56  | | | | Case 2:
% 197.69/34.56  | | | | | 
% 197.69/34.56  | | | | |   (38)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 197.69/34.56  | | | | | 
% 197.69/34.56  | | | | | BETA: splitting (22) gives:
% 197.69/34.56  | | | | | 
% 197.69/34.56  | | | | | Case 1:
% 197.69/34.56  | | | | | | 
% 197.69/34.56  | | | | | |   (39)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2,
% 197.69/34.56  | | | | | |             e2) = e2)
% 197.69/34.56  | | | | | | 
% 197.69/34.56  | | | | | | BETA: splitting (39) gives:
% 197.69/34.56  | | | | | | 
% 197.69/34.56  | | | | | | Case 1:
% 197.69/34.56  | | | | | | | 
% 197.69/34.56  | | | | | | |   (40)  all_56_2 = e2 & op(e2, e3) = e2
% 197.69/34.56  | | | | | | | 
% 197.69/34.56  | | | | | | | ALPHA: (40) implies:
% 197.69/34.56  | | | | | | |   (41)  op(e2, e3) = e2
% 197.69/34.56  | | | | | | | 
% 197.69/34.56  | | | | | | | BETA: splitting (32) gives:
% 197.69/34.56  | | | | | | | 
% 197.69/34.56  | | | | | | | Case 1:
% 197.69/34.56  | | | | | | | | 
% 197.69/34.56  | | | | | | | |   (42)  all_57_12 = e3 & op(e2, e2) = e3
% 197.69/34.56  | | | | | | | | 
% 197.69/34.56  | | | | | | | | ALPHA: (42) implies:
% 197.69/34.56  | | | | | | | |   (43)  op(e2, e2) = e3
% 197.69/34.56  | | | | | | | | 
% 197.69/34.56  | | | | | | | | REF_CLOSE: (6), (9), (27), (43) are inconsistent by sub-proof
% 197.69/34.56  | | | | | | | |            #1679.
% 197.69/34.56  | | | | | | | | 
% 197.69/34.56  | | | | | | | Case 2:
% 197.69/34.56  | | | | | | | | 
% 197.69/34.56  | | | | | | | |   (44)   ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.69/34.56  | | | | | | | |         $i(all_57_0)
% 197.69/34.56  | | | | | | | | 
% 197.69/34.56  | | | | | | | | ALPHA: (44) implies:
% 197.69/34.56  | | | | | | | |   (45)  op(e2, e3) = all_57_0
% 197.69/34.56  | | | | | | | | 
% 197.69/34.56  | | | | | | | | BETA: splitting (38) gives:
% 197.69/34.56  | | | | | | | | 
% 197.69/34.56  | | | | | | | | Case 1:
% 197.69/34.56  | | | | | | | | | 
% 197.69/34.56  | | | | | | | | |   (46)  all_54_2 = e2
% 197.69/34.56  | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | COMBINE_EQS: (5), (46) imply:
% 197.69/34.56  | | | | | | | | |   (47)  all_52_8 = e2
% 197.69/34.56  | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | REDUCE: (10), (47) imply:
% 197.69/34.56  | | | | | | | | |   (48)   ~ (all_52_4 = e2)
% 197.69/34.56  | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | BETA: splitting (23) gives:
% 197.69/34.56  | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | Case 1:
% 197.69/34.56  | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | |   (49)  all_54_1 = e3
% 197.69/34.56  | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | COMBINE_EQS: (28), (49) imply:
% 197.69/34.56  | | | | | | | | | |   (50)  all_52_4 = e3
% 197.69/34.56  | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | REDUCE: (1), (50) imply:
% 197.69/34.56  | | | | | | | | | |   (51)  $false
% 197.69/34.56  | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | CLOSE: (51) is inconsistent.
% 197.69/34.56  | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | Case 2:
% 197.69/34.56  | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | |   (52)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.69/34.56  | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | BETA: splitting (52) gives:
% 197.69/34.56  | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | Case 1:
% 197.69/34.56  | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | |   (53)  all_54_1 = e2
% 197.69/34.56  | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | COMBINE_EQS: (28), (53) imply:
% 197.69/34.56  | | | | | | | | | | |   (54)  all_52_4 = e2
% 197.69/34.56  | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | REDUCE: (48), (54) imply:
% 197.69/34.56  | | | | | | | | | | |   (55)  $false
% 197.69/34.56  | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | CLOSE: (55) is inconsistent.
% 197.69/34.56  | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | Case 2:
% 197.69/34.56  | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | |   (56)  all_54_1 = e1 | all_54_1 = e0
% 197.69/34.56  | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | BETA: splitting (56) gives:
% 197.69/34.56  | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | Case 1:
% 197.69/34.56  | | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | |   (57)  all_54_1 = e1
% 197.69/34.56  | | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | | COMBINE_EQS: (28), (57) imply:
% 197.69/34.56  | | | | | | | | | | | |   (58)  all_52_4 = e1
% 197.69/34.56  | | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | | REDUCE: (20), (58) imply:
% 197.69/34.56  | | | | | | | | | | | |   (59)  $false
% 197.69/34.56  | | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | | CLOSE: (59) is inconsistent.
% 197.69/34.56  | | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | Case 2:
% 197.69/34.56  | | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | | GROUND_INST: instantiating (6) with e2, all_57_0, e3, e2,
% 197.69/34.56  | | | | | | | | | | | |              simplifying with (41), (45) gives:
% 197.69/34.56  | | | | | | | | | | | |   (60)  all_57_0 = e2
% 197.69/34.56  | | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | | REF_CLOSE: (6), (8), (17), (32), (60) are inconsistent by
% 197.69/34.56  | | | | | | | | | | | |            sub-proof #1664.
% 197.69/34.56  | | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | | End of split
% 197.69/34.56  | | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | | End of split
% 197.69/34.56  | | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | End of split
% 197.69/34.56  | | | | | | | | | 
% 197.69/34.56  | | | | | | | | Case 2:
% 197.69/34.56  | | | | | | | | | 
% 197.69/34.56  | | | | | | | | |   (61)  all_54_2 = e1 | all_54_2 = e0
% 197.69/34.56  | | | | | | | | | 
% 197.69/34.56  | | | | | | | | | REF_CLOSE: (5), (15), (29), (61) are inconsistent by sub-proof
% 197.69/34.56  | | | | | | | | |            #1663.
% 197.69/34.56  | | | | | | | | | 
% 197.69/34.56  | | | | | | | | End of split
% 197.69/34.56  | | | | | | | | 
% 197.69/34.56  | | | | | | | End of split
% 197.69/34.56  | | | | | | | 
% 197.69/34.56  | | | | | | Case 2:
% 197.69/34.56  | | | | | | | 
% 197.69/34.56  | | | | | | |   (62)  all_56_3 = e2 & op(e2, e2) = e2
% 197.69/34.56  | | | | | | | 
% 197.69/34.56  | | | | | | | ALPHA: (62) implies:
% 197.69/34.56  | | | | | | |   (63)  op(e2, e2) = e2
% 197.69/34.56  | | | | | | | 
% 197.69/34.56  | | | | | | | REF_CLOSE: (6), (9), (21), (63) are inconsistent by sub-proof
% 197.69/34.56  | | | | | | |            #1783.
% 197.69/34.56  | | | | | | | 
% 197.69/34.56  | | | | | | End of split
% 197.69/34.56  | | | | | | 
% 197.69/34.56  | | | | | Case 2:
% 197.69/34.56  | | | | | | 
% 197.69/34.56  | | | | | |   (64)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2,
% 197.69/34.56  | | | | | |             e0) = e2)
% 197.69/34.56  | | | | | | 
% 197.69/34.56  | | | | | | REF_CLOSE: (6), (12), (14), (26), (36), (64) are inconsistent by
% 197.69/34.56  | | | | | |            sub-proof #1661.
% 197.69/34.56  | | | | | | 
% 197.69/34.56  | | | | | End of split
% 197.69/34.56  | | | | | 
% 197.69/34.56  | | | | End of split
% 197.69/34.56  | | | | 
% 197.69/34.56  | | | Case 2:
% 197.69/34.56  | | | | 
% 197.69/34.56  | | | |   (65)  all_54_15 = e1 | all_54_15 = e0
% 197.69/34.56  | | | | 
% 197.69/34.56  | | | | REF_CLOSE: (4), (13), (18), (65) are inconsistent by sub-proof #1659.
% 197.69/34.56  | | | | 
% 197.69/34.56  | | | End of split
% 197.69/34.56  | | | 
% 197.69/34.56  | | Case 2:
% 197.69/34.56  | | | 
% 197.69/34.56  | | |   (66)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 197.69/34.56  | | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.69/34.56  | | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.69/34.56  | | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.69/34.56  | | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.69/34.56  | | |               e2) = all_57_5 & $i(all_57_5)))
% 197.69/34.56  | | | 
% 197.69/34.56  | | | ALPHA: (66) implies:
% 197.69/34.56  | | |   (67)  op(e2, e2) = e2
% 197.69/34.56  | | | 
% 197.69/34.57  | | | REF_CLOSE: (6), (9), (21), (67) are inconsistent by sub-proof #1783.
% 197.69/34.57  | | | 
% 197.69/34.57  | | End of split
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (68)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 197.69/34.57  | |               e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.69/34.57  | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.69/34.57  | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.69/34.57  | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.69/34.57  | |                 e1) = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 197.69/34.57  | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.69/34.57  | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 =
% 197.69/34.57  | |               e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.69/34.57  | |               all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 197.69/34.57  | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.69/34.57  | |               $i(all_57_13))))
% 197.69/34.57  | | 
% 197.69/34.57  | | BETA: splitting (68) gives:
% 197.69/34.57  | | 
% 197.69/34.57  | | Case 1:
% 197.69/34.57  | | | 
% 197.69/34.57  | | |   (69)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 197.69/34.57  | | |             e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.69/34.57  | | |             $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.69/34.57  | | |             (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.69/34.57  | | |         ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.69/34.57  | | |               e1) = all_57_8 & $i(all_57_8)))
% 197.69/34.57  | | | 
% 197.69/34.57  | | | ALPHA: (69) implies:
% 197.69/34.57  | | |   (70)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.69/34.57  | | |             e1) = all_57_8 & $i(all_57_8))
% 197.69/34.57  | | | 
% 197.69/34.57  | | | REF_CLOSE: (2), (3), (4), (6), (13), (16), (18), (70) are inconsistent by
% 197.69/34.57  | | |            sub-proof #1657.
% 197.69/34.57  | | | 
% 197.69/34.57  | | Case 2:
% 197.69/34.57  | | | 
% 197.69/34.57  | | |   (71)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 197.69/34.57  | | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.69/34.57  | | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.69/34.57  | | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 197.69/34.57  | | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) &
% 197.69/34.57  | | |             op(e1, e0) = all_57_13 & $i(all_57_13)))
% 197.69/34.57  | | | 
% 197.69/34.57  | | | ALPHA: (71) implies:
% 197.69/34.57  | | |   (72)  all_57_15 = e0
% 197.69/34.57  | | | 
% 197.69/34.57  | | | COMBINE_EQS: (25), (72) imply:
% 197.69/34.57  | | |   (73)  all_14_2 = e0
% 197.69/34.57  | | | 
% 197.69/34.57  | | | REDUCE: (13), (73) imply:
% 197.69/34.57  | | |   (74)  $false
% 197.69/34.57  | | | 
% 197.69/34.57  | | | CLOSE: (74) is inconsistent.
% 197.69/34.57  | | | 
% 197.69/34.57  | | End of split
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1657 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  all_57_8 = e0
% 197.69/34.57    (2)  op(e0, e0) = all_14_2
% 197.69/34.57    (3)   ~ (all_14_2 = e1)
% 197.69/34.57    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (5)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.69/34.57           all_57_8 & $i(all_57_8))
% 197.69/34.57    (6)   ~ (all_14_2 = e0)
% 197.69/34.57    (7)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 197.69/34.57    (8)  all_54_15 = all_14_2
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (7) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (9)  all_54_15 = e2
% 197.69/34.57  | | 
% 197.69/34.57  | | COMBINE_EQS: (8), (9) imply:
% 197.69/34.57  | |   (10)  all_14_2 = e2
% 197.69/34.57  | | 
% 197.69/34.57  | | SIMP: (10) implies:
% 197.69/34.57  | |   (11)  all_14_2 = e2
% 197.69/34.57  | | 
% 197.69/34.57  | | REDUCE: (3), (11) imply:
% 197.69/34.57  | |   (12)   ~ (e2 = e1)
% 197.69/34.57  | | 
% 197.69/34.57  | | REDUCE: (2), (11) imply:
% 197.69/34.57  | |   (13)  op(e0, e0) = e2
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (4), (5), (12), (13) are inconsistent by sub-proof #1658.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (14)  all_54_15 = e1 | all_54_15 = e0
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (3), (6), (8), (14) are inconsistent by sub-proof #1659.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1658 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  all_57_8 = e0
% 197.69/34.57    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (3)  (all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.69/34.57           all_57_8 & $i(all_57_8))
% 197.69/34.57    (4)   ~ (e2 = e1)
% 197.69/34.57    (5)  op(e0, e0) = e2
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (3) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (6)  all_57_15 = e1 & op(e0, e0) = e1
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (6) implies:
% 197.69/34.57  | |   (7)  op(e0, e0) = e1
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1780.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (8)   ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (8) implies:
% 197.69/34.57  | |   (9)   ~ (all_57_8 = e0)
% 197.69/34.57  | | 
% 197.69/34.57  | | REDUCE: (1), (9) imply:
% 197.69/34.57  | |   (10)  $false
% 197.69/34.57  | | 
% 197.69/34.57  | | CLOSE: (10) is inconsistent.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1659 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  all_54_15 = e1 | all_54_15 = e0
% 197.69/34.57    (2)  all_54_15 = all_14_2
% 197.69/34.57    (3)   ~ (all_14_2 = e1)
% 197.69/34.57    (4)   ~ (all_14_2 = e0)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (1) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (5)  all_54_15 = e1
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1660.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (6)  all_54_15 = e0
% 197.69/34.57  | | 
% 197.69/34.57  | | COMBINE_EQS: (2), (6) imply:
% 197.69/34.57  | |   (7)  all_14_2 = e0
% 197.69/34.57  | | 
% 197.69/34.57  | | SIMP: (7) implies:
% 197.69/34.57  | |   (8)  all_14_2 = e0
% 197.69/34.57  | | 
% 197.69/34.57  | | REDUCE: (4), (8) imply:
% 197.69/34.57  | |   (9)  $false
% 197.69/34.57  | | 
% 197.69/34.57  | | CLOSE: (9) is inconsistent.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1660 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  all_54_15 = all_14_2
% 197.69/34.57    (2)  all_54_15 = e1
% 197.69/34.57    (3)   ~ (all_14_2 = e1)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.57  |   (4)  all_14_2 = e1
% 197.69/34.57  | 
% 197.69/34.57  | SIMP: (4) implies:
% 197.69/34.57  |   (5)  all_14_2 = e1
% 197.69/34.57  | 
% 197.69/34.57  | REDUCE: (3), (5) imply:
% 197.69/34.57  |   (6)  $false
% 197.69/34.57  | 
% 197.69/34.57  | CLOSE: (6) is inconsistent.
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1661 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.69/34.57    (2)   ~ (all_52_13 = e2)
% 197.69/34.57    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (4)  op(e2, e0) = all_52_13
% 197.69/34.57    (5)   ~ (all_52_9 = e2)
% 197.69/34.57    (6)  op(e2, e1) = all_52_9
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (1) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (7)  all_56_5 = e2 & op(e2, e1) = e2
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (7) implies:
% 197.69/34.57  | |   (8)  op(e2, e1) = e2
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1942.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (9)  all_56_10 = e2 & op(e2, e0) = e2
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (9) implies:
% 197.69/34.57  | |   (10)  op(e2, e0) = e2
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1662.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1662 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (2)  op(e2, e0) = all_52_13
% 197.69/34.57    (3)  op(e2, e0) = e2
% 197.69/34.57    (4)   ~ (all_52_13 = e2)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | GROUND_INST: instantiating (1) with all_52_13, e2, e0, e2, simplifying with
% 197.69/34.57  |              (2), (3) gives:
% 197.69/34.57  |   (5)  all_52_13 = e2
% 197.69/34.57  | 
% 197.69/34.57  | REDUCE: (4), (5) imply:
% 197.69/34.57  |   (6)  $false
% 197.69/34.57  | 
% 197.69/34.57  | CLOSE: (6) is inconsistent.
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1663 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  all_54_2 = e1 | all_54_2 = e0
% 197.69/34.57    (2)  all_54_2 = all_52_8
% 197.69/34.57    (3)   ~ (all_52_8 = e1)
% 197.69/34.57    (4)   ~ (all_52_8 = e0)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (1) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (5)  all_54_2 = e1
% 197.69/34.57  | | 
% 197.69/34.57  | | COMBINE_EQS: (2), (5) imply:
% 197.69/34.57  | |   (6)  all_52_8 = e1
% 197.69/34.57  | | 
% 197.69/34.57  | | REDUCE: (3), (6) imply:
% 197.69/34.57  | |   (7)  $false
% 197.69/34.57  | | 
% 197.69/34.57  | | CLOSE: (7) is inconsistent.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (8)  all_54_2 = e0
% 197.69/34.57  | | 
% 197.69/34.57  | | COMBINE_EQS: (2), (8) imply:
% 197.69/34.57  | |   (9)  all_52_8 = e0
% 197.69/34.57  | | 
% 197.69/34.57  | | REDUCE: (4), (9) imply:
% 197.69/34.57  | |   (10)  $false
% 197.69/34.57  | | 
% 197.69/34.57  | | CLOSE: (10) is inconsistent.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1664 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (2)  op(e2, e2) = all_4_2
% 197.69/34.57    (3)  all_57_0 = e2
% 197.69/34.57    (4)  (all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.69/34.57           all_57_0 & $i(all_57_0))
% 197.69/34.57    (5)   ~ (all_4_2 = e3)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (4) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (6)  all_57_12 = e3 & op(e2, e2) = e3
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (6) implies:
% 197.69/34.57  | |   (7)  op(e2, e2) = e3
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1975.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (8)   ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0)
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (8) implies:
% 197.69/34.57  | |   (9)   ~ (all_57_0 = e2)
% 197.69/34.57  | | 
% 197.69/34.57  | | REDUCE: (3), (9) imply:
% 197.69/34.57  | |   (10)  $false
% 197.69/34.57  | | 
% 197.69/34.57  | | CLOSE: (10) is inconsistent.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1665 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  op(e0, e0) = all_14_2
% 197.69/34.57    (2)   ~ (all_14_2 = e1)
% 197.69/34.57    (3)   ~ (all_52_11 = e1)
% 197.69/34.57    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (5)  op(e0, e1) = all_52_11
% 197.69/34.57    (6)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.69/34.57           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.69/34.57           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.69/34.57                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 197.69/34.57               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.69/34.57               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 197.69/34.57           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 197.69/34.57             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.69/34.57               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.69/34.57           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.69/34.57               = all_57_7 & $i(all_57_7))))
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (6) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (7)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.69/34.57  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.69/34.57  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.69/34.57  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 197.69/34.57  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.69/34.57  | |            all_57_11 & $i(all_57_11)))
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (7) implies:
% 197.69/34.57  | |   (8)  op(e0, e1) = e1
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #1885.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (9)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 197.69/34.57  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.69/34.57  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.69/34.57  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.69/34.57  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 197.69/34.57  | |            & $i(all_57_7)))
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (9) implies:
% 197.69/34.57  | |   (10)  op(e0, e0) = e1
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1967.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1666 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (2)  op(e0, e2) = e0
% 197.69/34.57    (3)   ~ (all_28_2 = e2) | ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 &
% 197.69/34.57           op(e0, e2) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 =
% 197.69/34.57             e3) & op(e0, e2) = all_28_1 & $i(all_28_1))
% 197.69/34.57    (4)  all_28_2 = e2
% 197.69/34.57    (5)  op(e0, e2) = e3
% 197.69/34.57    (6)   ~ (e3 = e0)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (3) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (7)   ~ (all_28_2 = e2)
% 197.69/34.57  | | 
% 197.69/34.57  | | REDUCE: (4), (7) imply:
% 197.69/34.57  | |   (8)  $false
% 197.69/34.57  | | 
% 197.69/34.57  | | CLOSE: (8) is inconsistent.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (9)  ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 & op(e0, e2) =
% 197.69/34.57  | |          all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 = e3) &
% 197.69/34.57  | |          op(e0, e2) = all_28_1 & $i(all_28_1))
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (2), (5), (6), (9) are inconsistent by sub-proof #1667.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1667 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (2)  ( ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 & op(e0, e2) = all_28_1
% 197.69/34.57           & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 = e3) & op(e0, e2) =
% 197.69/34.57           all_28_1 & $i(all_28_1))
% 197.69/34.57    (3)  op(e0, e2) = e0
% 197.69/34.57    (4)  op(e0, e2) = e3
% 197.69/34.57    (5)   ~ (e3 = e0)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (2) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (6)   ~ (all_28_0 = e1) & op(all_28_1, e0) = all_28_0 & op(e0, e2) =
% 197.69/34.57  | |        all_28_1 & $i(all_28_0) & $i(all_28_1)
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (6) implies:
% 197.69/34.57  | |   (7)  op(e0, e2) = all_28_1
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (3), (4), (5), (7) are inconsistent by sub-proof #1668.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (8)   ~ (all_28_1 = e3) & op(e0, e2) = all_28_1 & $i(all_28_1)
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (8) implies:
% 197.69/34.57  | |   (9)  op(e0, e2) = all_28_1
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (3), (4), (5), (9) are inconsistent by sub-proof #1668.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1668 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (2)  op(e0, e2) = e0
% 197.69/34.57    (3)  op(e0, e2) = all_28_1
% 197.69/34.57    (4)  op(e0, e2) = e3
% 197.69/34.57    (5)   ~ (e3 = e0)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | GROUND_INST: instantiating (1) with e3, all_28_1, e2, e0, simplifying with
% 197.69/34.57  |              (3), (4) gives:
% 197.69/34.57  |   (6)  all_28_1 = e3
% 197.69/34.57  | 
% 197.69/34.57  | GROUND_INST: instantiating (1) with e0, all_28_1, e2, e0, simplifying with
% 197.69/34.57  |              (2), (3) gives:
% 197.69/34.57  |   (7)  all_28_1 = e0
% 197.69/34.57  | 
% 197.69/34.57  | COMBINE_EQS: (6), (7) imply:
% 197.69/34.57  |   (8)  e3 = e0
% 197.69/34.57  | 
% 197.69/34.57  | SIMP: (8) implies:
% 197.69/34.57  |   (9)  e3 = e0
% 197.69/34.57  | 
% 197.69/34.57  | REDUCE: (5), (9) imply:
% 197.69/34.57  |   (10)  $false
% 197.69/34.57  | 
% 197.69/34.57  | CLOSE: (10) is inconsistent.
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1669 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  op(e1, e2) = all_52_6
% 197.69/34.57    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.69/34.57           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.69/34.57           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.69/34.57                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 197.69/34.57               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.69/34.57               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.69/34.57           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 197.69/34.57           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.69/34.57               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.69/34.57           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.69/34.57               = all_57_5 & $i(all_57_5))))
% 197.69/34.57    (4)   ~ (all_52_9 = e2)
% 197.69/34.57    (5)  op(e2, e1) = all_52_9
% 197.69/34.57    (6)   ~ (all_52_6 = e1)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (3) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.69/34.57  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.69/34.57  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.69/34.57  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 197.69/34.57  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.69/34.57  | |            & $i(all_57_8)))
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (7) implies:
% 197.69/34.57  | |   (8)  op(e2, e1) = e2
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1942.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.69/34.57  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.69/34.57  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 197.69/34.57  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.69/34.57  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.69/34.57  | |            & $i(all_57_5)))
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (9) implies:
% 197.69/34.57  | |   (10)  op(e1, e2) = e1
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1970.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1670 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (2)  op(e0, e3) = all_52_3
% 197.69/34.57    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.69/34.57           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.69/34.57           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.69/34.57                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.69/34.57               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.69/34.57               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.69/34.57           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.69/34.57           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.69/34.57             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.69/34.57           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.69/34.57               = all_57_1 & $i(all_57_1))))
% 197.69/34.57    (4)  op(e0, e1) = e0
% 197.69/34.57    (5)  op(e0, e1) = all_52_11
% 197.69/34.57    (6)  op(e3, e3) = e3
% 197.69/34.57    (7)   ~ (e3 = e0)
% 197.69/34.57    (8)   ~ (all_52_3 = all_52_11)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (3) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (9)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.69/34.57  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.69/34.57  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 197.69/34.57  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 197.69/34.57  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.69/34.57  | |            all_57_13 & $i(all_57_13)))
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (9) implies:
% 197.69/34.57  | |   (10)  op(e3, e3) = e0
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (6), (7), (10) are inconsistent by sub-proof #1961.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (11)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 197.69/34.57  | |         all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.69/34.57  | |         $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0
% 197.69/34.57  | |               = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 197.69/34.57  | |             e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.69/34.57  | |             all_57_1 & $i(all_57_1)))
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (11) implies:
% 197.69/34.57  | |   (12)  op(e0, e3) = e0
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (2), (4), (5), (8), (12) are inconsistent by sub-proof
% 197.69/34.57  | |            #1671.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1671 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (2)  op(e0, e3) = all_52_3
% 197.69/34.57    (3)  op(e0, e3) = e0
% 197.69/34.57    (4)  op(e0, e1) = e0
% 197.69/34.57    (5)  op(e0, e1) = all_52_11
% 197.69/34.57    (6)   ~ (all_52_3 = all_52_11)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | GROUND_INST: instantiating (1) with all_52_11, e0, e1, e0, simplifying with
% 197.69/34.57  |              (4), (5) gives:
% 197.69/34.57  |   (7)  all_52_11 = e0
% 197.69/34.57  | 
% 197.69/34.57  | GROUND_INST: instantiating (1) with all_52_3, e0, e3, e0, simplifying with
% 197.69/34.57  |              (2), (3) gives:
% 197.69/34.57  |   (8)  all_52_3 = e0
% 197.69/34.57  | 
% 197.69/34.57  | REDUCE: (6), (7), (8) imply:
% 197.69/34.57  |   (9)  $false
% 197.69/34.57  | 
% 197.69/34.57  | CLOSE: (9) is inconsistent.
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1672 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  op(e1, e3) = all_52_2
% 197.69/34.57    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (3)  op(e3, e3) = e3
% 197.69/34.57    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.69/34.57           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.69/34.57           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 197.69/34.57                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.69/34.57               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.69/34.57               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.69/34.57           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 197.69/34.57           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.69/34.57               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.69/34.57           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.69/34.57               = all_57_2 & $i(all_57_2))))
% 197.69/34.57    (5)   ~ (all_52_2 = e1)
% 197.69/34.57    (6)   ~ (e3 = e1)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (4) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.69/34.57  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.69/34.57  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 197.69/34.57  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 197.69/34.57  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.69/34.57  | |            & $i(all_57_8)))
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (7) implies:
% 197.69/34.57  | |   (8)  op(e3, e3) = e1
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1966.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 197.69/34.57  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.69/34.57  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.69/34.57  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.69/34.57  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 197.69/34.57  | |            & $i(all_57_2)))
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (9) implies:
% 197.69/34.57  | |   (10)  op(e1, e3) = e1
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1974.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1673 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)   ~ (all_52_4 = e3)
% 197.69/34.57    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.57    (3)  op(e3, e2) = all_52_4
% 197.69/34.57    (4)  op(e2, e2) = e1
% 197.69/34.57    (5)   ~ (e3 = e1)
% 197.69/34.57    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.69/34.57           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.69/34.57           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.69/34.57                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.69/34.57               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.69/34.57               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.69/34.57           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.69/34.57           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.69/34.57               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.69/34.57           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.69/34.57               = all_57_2 & $i(all_57_2))))
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | BETA: splitting (6) gives:
% 197.69/34.57  | 
% 197.69/34.57  | Case 1:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.69/34.57  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.69/34.57  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.69/34.57  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 197.69/34.57  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.69/34.57  | |            & $i(all_57_5)))
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (7) implies:
% 197.69/34.57  | |   (8)  op(e3, e2) = e3
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1972.
% 197.69/34.57  | | 
% 197.69/34.57  | Case 2:
% 197.69/34.57  | | 
% 197.69/34.57  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 197.69/34.57  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.69/34.57  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 197.69/34.57  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.69/34.57  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 197.69/34.57  | |            & $i(all_57_2)))
% 197.69/34.57  | | 
% 197.69/34.57  | | ALPHA: (9) implies:
% 197.69/34.57  | |   (10)  op(e2, e2) = e3
% 197.69/34.57  | | 
% 197.69/34.57  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #1679.
% 197.69/34.57  | | 
% 197.69/34.57  | End of split
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1674 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  all_56_12 = e3
% 197.69/34.57    (2)  all_56_12 = e1
% 197.69/34.57    (3)   ~ (e3 = e1)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.57  |   (4)  e3 = e1
% 197.69/34.57  | 
% 197.69/34.57  | SIMP: (4) implies:
% 197.69/34.57  |   (5)  e3 = e1
% 197.69/34.57  | 
% 197.69/34.57  | REDUCE: (3), (5) imply:
% 197.69/34.57  |   (6)  $false
% 197.69/34.57  | 
% 197.69/34.57  | CLOSE: (6) is inconsistent.
% 197.69/34.57  | 
% 197.69/34.57  End of proof
% 197.69/34.57  
% 197.69/34.57  Sub-proof #1675 shows that the following formulas are inconsistent:
% 197.69/34.57  ----------------------------------------------------------------
% 197.69/34.57    (1)  all_54_15 = all_14_2
% 197.69/34.57    (2)  all_54_15 = e3
% 197.69/34.57    (3)   ~ (all_14_2 = e3)
% 197.69/34.57  
% 197.69/34.57  Begin of proof
% 197.69/34.57  | 
% 197.69/34.57  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.58  |   (4)  all_14_2 = e3
% 197.69/34.58  | 
% 197.69/34.58  | SIMP: (4) implies:
% 197.69/34.58  |   (5)  all_14_2 = e3
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (3), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1676 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  op(e1, e1) = e1
% 197.69/34.58    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (3)  op(e2, e2) = e1
% 197.69/34.58    (4)   ~ (e1 = e0)
% 197.69/34.58    (5)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 197.69/34.58             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.69/34.58           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 197.69/34.58           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.69/34.58           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 197.69/34.58           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (5) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (6)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 197.69/34.58  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 197.69/34.58  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (6) implies:
% 197.69/34.58  | |   (7)  op(e2, e2) = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1909.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (8)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 197.69/34.58  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 197.69/34.58  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (8) implies:
% 197.69/34.58  | |   (9)  op(e1, e1) = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1959.
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1677 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  op(e1, e2) = all_52_6
% 197.69/34.58    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (3)   ~ (all_52_8 = e3)
% 197.69/34.58    (4)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.69/34.58             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.69/34.58           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 197.69/34.58           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 197.69/34.58             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.69/34.58             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 197.69/34.58           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.69/34.58           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.69/34.58           $i(all_57_7) & $i(all_57_10))
% 197.69/34.58    (5)  op(e3, e1) = all_52_8
% 197.69/34.58    (6)   ~ (all_52_6 = e1)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (4) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (7)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.69/34.58  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.69/34.58  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (7) implies:
% 197.69/34.58  | |   (8)  op(e1, e2) = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1970.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (9)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.69/34.58  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.69/34.58  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.69/34.58  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.69/34.58  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.69/34.58  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.69/34.58  | | 
% 197.69/34.58  | | BETA: splitting (9) gives:
% 197.69/34.58  | | 
% 197.69/34.58  | | Case 1:
% 197.69/34.58  | | | 
% 197.69/34.58  | | |   (10)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.69/34.58  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.69/34.58  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.69/34.58  | | |         $i(all_57_14)
% 197.69/34.58  | | | 
% 197.69/34.58  | | | ALPHA: (10) implies:
% 197.69/34.58  | | |   (11)  op(e1, e2) = e1
% 197.69/34.58  | | | 
% 197.69/34.58  | | | REF_CLOSE: (1), (2), (6), (11) are inconsistent by sub-proof #1970.
% 197.69/34.58  | | | 
% 197.69/34.58  | | Case 2:
% 197.69/34.58  | | | 
% 197.69/34.58  | | |   (12)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.69/34.58  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.69/34.58  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.69/34.58  | | |         $i(all_57_10)
% 197.69/34.58  | | | 
% 197.69/34.58  | | | ALPHA: (12) implies:
% 197.69/34.58  | | |   (13)  op(e3, e1) = e3
% 197.69/34.58  | | | 
% 197.69/34.58  | | | REF_CLOSE: (2), (3), (5), (13) are inconsistent by sub-proof #1759.
% 197.69/34.58  | | | 
% 197.69/34.58  | | End of split
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1678 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  op(e1, e3) = all_52_2
% 197.69/34.58    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (3)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 197.69/34.58             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.69/34.58           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 197.69/34.58           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 197.69/34.58             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 197.69/34.58             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.69/34.58    (4)  op(e2, e2) = e1
% 197.69/34.58    (5)   ~ (all_52_2 = e1)
% 197.69/34.58    (6)   ~ (e3 = e1)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (3) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (7)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 197.69/34.58  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.69/34.58  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (7) implies:
% 197.69/34.58  | |   (8)  op(e2, e2) = e3
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1679.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (9)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 197.69/34.58  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.69/34.58  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (9) implies:
% 197.69/34.58  | |   (10)  op(e1, e3) = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1974.
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1679 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (2)  op(e2, e2) = e3
% 197.69/34.58    (3)  op(e2, e2) = e1
% 197.69/34.58    (4)   ~ (e3 = e1)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | GROUND_INST: instantiating (1) with e1, e3, e2, e2, simplifying with (2), (3)
% 197.69/34.58  |              gives:
% 197.69/34.58  |   (5)  e3 = e1
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (4), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1680 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.69/34.58    (2)  op(e0, e0) = all_14_2
% 197.69/34.58    (3)   ~ (all_14_2 = e1)
% 197.69/34.58    (4)   ~ (all_52_11 = e1)
% 197.69/34.58    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (6)  op(e0, e1) = all_52_11
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (1) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (7) implies:
% 197.69/34.58  | |   (8)  op(e0, e1) = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #1885.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (9) implies:
% 197.69/34.58  | |   (10)  op(e0, e0) = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1967.
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1681 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  op(e0, e0) = all_14_2
% 197.69/34.58    (2)   ~ (all_14_2 = e1)
% 197.69/34.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (4)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.69/34.58    (5)  op(e1, e0) = all_52_14
% 197.69/34.58    (6)   ~ (all_52_14 = e1)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (4) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (7)  all_56_11 = e1 & op(e1, e0) = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (7) implies:
% 197.69/34.58  | |   (8)  op(e1, e0) = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1958.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (9) implies:
% 197.69/34.58  | |   (10)  op(e0, e0) = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1967.
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1682 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_54_11 = all_50_0
% 197.69/34.58    (2)  all_56_10 = e1
% 197.69/34.58    (3)   ~ (all_52_12 = all_50_0)
% 197.69/34.58    (4)   ~ (e3 = e2)
% 197.69/34.58    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (6)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 197.69/34.58    (7)   ~ (all_50_0 = e2)
% 197.69/34.58    (8)   ~ (all_50_0 = e1)
% 197.69/34.58    (9)   ~ (e1 = e0)
% 197.69/34.58    (10)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.69/34.58              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.69/34.58                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.69/34.58                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.69/34.58    (11)  op(e3, e0) = all_52_12
% 197.69/34.58    (12)  op(e0, e0) = e2
% 197.69/34.58    (13)   ~ (e2 = e0)
% 197.69/34.58    (14)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.69/34.58    (15)   ~ (all_50_0 = e3)
% 197.69/34.58    (16)   ~ (e3 = e0)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (14) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (17)  all_56_11 = e3 & op(e1, e0) = e3
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 197.69/34.58  | |            (15), (16), (17) are inconsistent by sub-proof #1683.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (18)  all_56_15 = e3 & op(e0, e0) = e3
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (18) implies:
% 197.69/34.58  | |   (19)  op(e0, e0) = e3
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (4), (5), (12), (19) are inconsistent by sub-proof #1692.
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1683 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_54_11 = all_50_0
% 197.69/34.58    (2)  all_56_10 = e1
% 197.69/34.58    (3)   ~ (all_52_12 = all_50_0)
% 197.69/34.58    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (5)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 197.69/34.58    (6)   ~ (all_50_0 = e2)
% 197.69/34.58    (7)   ~ (all_50_0 = e1)
% 197.69/34.58    (8)   ~ (e1 = e0)
% 197.69/34.58    (9)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 197.69/34.58             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 197.69/34.58               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 197.69/34.58               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 197.69/34.58    (10)  op(e3, e0) = all_52_12
% 197.69/34.58    (11)  op(e0, e0) = e2
% 197.69/34.58    (12)   ~ (e2 = e0)
% 197.69/34.58    (13)  all_56_11 = e3 & op(e1, e0) = e3
% 197.69/34.58    (14)   ~ (all_50_0 = e3)
% 197.69/34.58    (15)   ~ (e3 = e0)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | ALPHA: (13) implies:
% 197.69/34.58  |   (16)  all_56_11 = e3
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (9) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (17)  all_56_15 = e0 & op(e0, e0) = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (17) implies:
% 197.69/34.58  | |   (18)  op(e0, e0) = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (4), (11), (12), (18) are inconsistent by sub-proof #1945.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (19)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 197.69/34.58  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 197.69/34.58  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.69/34.58  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (19) implies:
% 197.69/34.58  | |   (20)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 197.69/34.58  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.69/34.58  | | 
% 197.69/34.58  | | BETA: splitting (5) gives:
% 197.69/34.58  | | 
% 197.69/34.58  | | Case 1:
% 197.69/34.58  | | | 
% 197.69/34.58  | | |   (21)  all_54_11 = e3
% 197.69/34.58  | | | 
% 197.69/34.58  | | | REF_CLOSE: (1), (14), (21) are inconsistent by sub-proof #1795.
% 197.69/34.58  | | | 
% 197.69/34.58  | | Case 2:
% 197.69/34.58  | | | 
% 197.69/34.58  | | |   (22)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 197.69/34.58  | | | 
% 197.69/34.58  | | | BETA: splitting (22) gives:
% 197.69/34.58  | | | 
% 197.69/34.58  | | | Case 1:
% 197.69/34.58  | | | | 
% 197.69/34.58  | | | |   (23)  all_54_11 = e2
% 197.69/34.58  | | | | 
% 197.69/34.58  | | | | REF_CLOSE: (1), (6), (23) are inconsistent by sub-proof #1794.
% 197.69/34.58  | | | | 
% 197.69/34.58  | | | Case 2:
% 197.69/34.58  | | | | 
% 197.69/34.58  | | | |   (24)  all_54_11 = e1 | all_54_11 = e0
% 197.69/34.58  | | | | 
% 197.69/34.58  | | | | BETA: splitting (20) gives:
% 197.69/34.58  | | | | 
% 197.69/34.58  | | | | Case 1:
% 197.69/34.58  | | | | | 
% 197.69/34.58  | | | | |   (25)  all_56_9 = e0 & op(e3, e0) = e0
% 197.69/34.58  | | | | | 
% 197.69/34.58  | | | | | ALPHA: (25) implies:
% 197.69/34.58  | | | | |   (26)  op(e3, e0) = e0
% 197.69/34.58  | | | | | 
% 197.69/34.58  | | | | | REF_CLOSE: (1), (3), (4), (7), (10), (24), (26) are inconsistent by
% 197.69/34.58  | | | | |            sub-proof #1685.
% 197.69/34.58  | | | | | 
% 197.69/34.58  | | | | Case 2:
% 197.69/34.58  | | | | | 
% 197.69/34.58  | | | | |   (27)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 197.69/34.58  | | | | |             e0) = e0)
% 197.69/34.58  | | | | | 
% 197.69/34.58  | | | | | BETA: splitting (27) gives:
% 197.69/34.58  | | | | | 
% 197.69/34.58  | | | | | Case 1:
% 197.69/34.58  | | | | | | 
% 197.69/34.58  | | | | | |   (28)  all_56_10 = e0 & op(e2, e0) = e0
% 197.69/34.58  | | | | | | 
% 197.69/34.58  | | | | | | REF_CLOSE: (2), (8), (28) are inconsistent by sub-proof #1792.
% 197.69/34.58  | | | | | | 
% 197.69/34.58  | | | | | Case 2:
% 197.69/34.58  | | | | | | 
% 197.69/34.58  | | | | | |   (29)  all_56_11 = e0 & op(e1, e0) = e0
% 197.69/34.58  | | | | | | 
% 197.69/34.58  | | | | | | REF_CLOSE: (15), (16), (29) are inconsistent by sub-proof #1684.
% 197.69/34.58  | | | | | | 
% 197.69/34.58  | | | | | End of split
% 197.69/34.58  | | | | | 
% 197.69/34.58  | | | | End of split
% 197.69/34.58  | | | | 
% 197.69/34.58  | | | End of split
% 197.69/34.58  | | | 
% 197.69/34.58  | | End of split
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1684 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_56_11 = e0 & op(e1, e0) = e0
% 197.69/34.58    (2)  all_56_11 = e3
% 197.69/34.58    (3)   ~ (e3 = e0)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | ALPHA: (1) implies:
% 197.69/34.58  |   (4)  all_56_11 = e0
% 197.69/34.58  | 
% 197.69/34.58  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.58  |   (5)  e3 = e0
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (3), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1685 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_54_11 = all_50_0
% 197.69/34.58    (2)   ~ (all_52_12 = all_50_0)
% 197.69/34.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (4)  op(e3, e0) = e0
% 197.69/34.58    (5)   ~ (all_50_0 = e1)
% 197.69/34.58    (6)  all_54_11 = e1 | all_54_11 = e0
% 197.69/34.58    (7)  op(e3, e0) = all_52_12
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (6) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (8)  all_54_11 = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #1791.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (9)  all_54_11 = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | COMBINE_EQS: (1), (9) imply:
% 197.69/34.58  | |   (10)  all_50_0 = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | SIMP: (10) implies:
% 197.69/34.58  | |   (11)  all_50_0 = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | REDUCE: (2), (11) imply:
% 197.69/34.58  | |   (12)   ~ (all_52_12 = e0)
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (3), (4), (7), (12) are inconsistent by sub-proof #1799.
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1686 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  op(e1, e0) = e0
% 197.69/34.58    (2)  all_54_3 = all_52_12
% 197.69/34.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (4)  op(e1, e0) = all_52_14
% 197.69/34.58    (5)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 197.69/34.58    (6)   ~ (all_52_12 = e2)
% 197.69/34.58    (7)   ~ (all_52_12 = all_52_14)
% 197.69/34.58    (8)   ~ (all_52_12 = e1)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (5) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (9)  all_54_3 = e2
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (2), (6), (9) are inconsistent by sub-proof #1689.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (10)  all_54_3 = e1 | all_54_3 = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (10) are inconsistent by sub-proof
% 197.69/34.58  | |            #1687.
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1687 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  op(e1, e0) = e0
% 197.69/34.58    (2)  all_54_3 = all_52_12
% 197.69/34.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (4)  op(e1, e0) = all_52_14
% 197.69/34.58    (5)   ~ (all_52_12 = all_52_14)
% 197.69/34.58    (6)  all_54_3 = e1 | all_54_3 = e0
% 197.69/34.58    (7)   ~ (all_52_12 = e1)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (6) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (8)  all_54_3 = e1
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (2), (7), (8) are inconsistent by sub-proof #1688.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (9)  all_54_3 = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | COMBINE_EQS: (2), (9) imply:
% 197.69/34.58  | |   (10)  all_52_12 = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | SIMP: (10) implies:
% 197.69/34.58  | |   (11)  all_52_12 = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | REDUCE: (5), (11) imply:
% 197.69/34.58  | |   (12)   ~ (all_52_14 = e0)
% 197.69/34.58  | | 
% 197.69/34.58  | | SIMP: (12) implies:
% 197.69/34.58  | |   (13)   ~ (all_52_14 = e0)
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (1), (3), (4), (13) are inconsistent by sub-proof #1884.
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1688 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_54_3 = all_52_12
% 197.69/34.58    (2)  all_54_3 = e1
% 197.69/34.58    (3)   ~ (all_52_12 = e1)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.58  |   (4)  all_52_12 = e1
% 197.69/34.58  | 
% 197.69/34.58  | SIMP: (4) implies:
% 197.69/34.58  |   (5)  all_52_12 = e1
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (3), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1689 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_54_3 = all_52_12
% 197.69/34.58    (2)  all_54_3 = e2
% 197.69/34.58    (3)   ~ (all_52_12 = e2)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.58  |   (4)  all_52_12 = e2
% 197.69/34.58  | 
% 197.69/34.58  | SIMP: (4) implies:
% 197.69/34.58  |   (5)  all_52_12 = e2
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (3), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1690 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_56_11 = e2 & op(e1, e0) = e2
% 197.69/34.58    (2)  all_56_11 = e0
% 197.69/34.58    (3)   ~ (e2 = e0)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | ALPHA: (1) implies:
% 197.69/34.58  |   (4)  all_56_11 = e2
% 197.69/34.58  | 
% 197.69/34.58  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.58  |   (5)  e2 = e0
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (3), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1691 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 197.69/34.58    (2)   ~ (e3 = e2)
% 197.69/34.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (4)  all_56_14 = e2
% 197.69/34.58    (5)  op(e0, e0) = e2
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (1) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (6)  all_56_14 = e3 & op(e0, e1) = e3
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1698.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (7)  all_56_15 = e3 & op(e0, e0) = e3
% 197.69/34.58  | | 
% 197.69/34.58  | | ALPHA: (7) implies:
% 197.69/34.58  | |   (8)  op(e0, e0) = e3
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1692.
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1692 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (2)  op(e0, e0) = e3
% 197.69/34.58    (3)  op(e0, e0) = e2
% 197.69/34.58    (4)   ~ (e3 = e2)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | GROUND_INST: instantiating (1) with e3, e2, e0, e0, simplifying with (2), (3)
% 197.69/34.58  |              gives:
% 197.69/34.58  |   (5)  e3 = e2
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (4), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1693 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (2)  all_56_13 = e3
% 197.69/34.58    (3)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 197.69/34.58         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 197.69/34.58    (4)  all_56_14 = e2
% 197.69/34.58    (5)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.69/34.58         (all_56_14 = e0 & op(e0, e1) = e0)
% 197.69/34.58    (6)   ~ (e1 = e0)
% 197.69/34.58    (7)   ~ (e2 = e1)
% 197.69/34.58    (8)  op(e0, e0) = e2
% 197.69/34.58    (9)   ~ (e3 = e1)
% 197.69/34.58    (10)   ~ (e2 = e0)
% 197.69/34.58    (11)   ~ (e3 = e0)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (3) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.69/34.58  | |           e1)
% 197.69/34.58  | | 
% 197.69/34.58  | | BETA: splitting (12) gives:
% 197.69/34.58  | | 
% 197.69/34.58  | | Case 1:
% 197.69/34.58  | | | 
% 197.69/34.58  | | |   (13)  all_56_12 = e1 & op(e0, e3) = e1
% 197.69/34.58  | | | 
% 197.69/34.58  | | | ALPHA: (13) implies:
% 197.69/34.58  | | |   (14)  all_56_12 = e1
% 197.69/34.58  | | | 
% 197.69/34.58  | | | REF_CLOSE: (2), (4), (5), (6), (10), (11), (14) are inconsistent by
% 197.69/34.58  | | |            sub-proof #1694.
% 197.69/34.58  | | | 
% 197.69/34.58  | | Case 2:
% 197.69/34.58  | | | 
% 197.69/34.58  | | |   (15)  all_56_13 = e1 & op(e0, e2) = e1
% 197.69/34.58  | | | 
% 197.69/34.58  | | | ALPHA: (15) implies:
% 197.69/34.58  | | |   (16)  all_56_13 = e1
% 197.69/34.58  | | | 
% 197.69/34.58  | | | REF_CLOSE: (2), (9), (16) are inconsistent by sub-proof #1864.
% 197.69/34.58  | | | 
% 197.69/34.58  | | End of split
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (17)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 197.69/34.58  | |           e1)
% 197.69/34.58  | | 
% 197.69/34.58  | | BETA: splitting (17) gives:
% 197.69/34.58  | | 
% 197.69/34.58  | | Case 1:
% 197.69/34.58  | | | 
% 197.69/34.58  | | |   (18)  all_56_14 = e1 & op(e0, e1) = e1
% 197.69/34.58  | | | 
% 197.69/34.58  | | | ALPHA: (18) implies:
% 197.69/34.58  | | |   (19)  all_56_14 = e1
% 197.69/34.58  | | | 
% 197.69/34.58  | | | REF_CLOSE: (4), (7), (19) are inconsistent by sub-proof #1815.
% 197.69/34.58  | | | 
% 197.69/34.58  | | Case 2:
% 197.69/34.58  | | | 
% 197.69/34.58  | | |   (20)  all_56_15 = e1 & op(e0, e0) = e1
% 197.69/34.58  | | | 
% 197.69/34.58  | | | ALPHA: (20) implies:
% 197.69/34.58  | | |   (21)  op(e0, e0) = e1
% 197.69/34.58  | | | 
% 197.69/34.58  | | | REF_CLOSE: (1), (7), (8), (21) are inconsistent by sub-proof #1780.
% 197.69/34.58  | | | 
% 197.69/34.58  | | End of split
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1694 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_56_13 = e3
% 197.69/34.58    (2)  all_56_14 = e2
% 197.69/34.58    (3)  all_56_12 = e1
% 197.69/34.58    (4)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 197.69/34.58         (all_56_14 = e0 & op(e0, e1) = e0)
% 197.69/34.58    (5)   ~ (e1 = e0)
% 197.69/34.58    (6)   ~ (e2 = e0)
% 197.69/34.58    (7)   ~ (e3 = e0)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | BETA: splitting (4) gives:
% 197.69/34.58  | 
% 197.69/34.58  | Case 1:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (8)  all_56_12 = e0 & op(e0, e3) = e0
% 197.69/34.58  | | 
% 197.69/34.58  | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #1697.
% 197.69/34.58  | | 
% 197.69/34.58  | Case 2:
% 197.69/34.58  | | 
% 197.69/34.58  | |   (9)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.69/34.58  | |          e0)
% 197.69/34.58  | | 
% 197.69/34.58  | | BETA: splitting (9) gives:
% 197.69/34.58  | | 
% 197.69/34.58  | | Case 1:
% 197.69/34.58  | | | 
% 197.69/34.58  | | |   (10)  all_56_13 = e0 & op(e0, e2) = e0
% 197.69/34.58  | | | 
% 197.69/34.58  | | | REF_CLOSE: (1), (7), (10) are inconsistent by sub-proof #1696.
% 197.69/34.58  | | | 
% 197.69/34.58  | | Case 2:
% 197.69/34.58  | | | 
% 197.69/34.58  | | |   (11)  all_56_14 = e0 & op(e0, e1) = e0
% 197.69/34.58  | | | 
% 197.69/34.58  | | | ALPHA: (11) implies:
% 197.69/34.58  | | |   (12)  all_56_14 = e0
% 197.69/34.58  | | | 
% 197.69/34.58  | | | REF_CLOSE: (2), (6), (12) are inconsistent by sub-proof #1695.
% 197.69/34.58  | | | 
% 197.69/34.58  | | End of split
% 197.69/34.58  | | 
% 197.69/34.58  | End of split
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1695 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_56_14 = e2
% 197.69/34.58    (2)  all_56_14 = e0
% 197.69/34.58    (3)   ~ (e2 = e0)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.58  |   (4)  e2 = e0
% 197.69/34.58  | 
% 197.69/34.58  | SIMP: (4) implies:
% 197.69/34.58  |   (5)  e2 = e0
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (3), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1696 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_56_13 = e0 & op(e0, e2) = e0
% 197.69/34.58    (2)  all_56_13 = e3
% 197.69/34.58    (3)   ~ (e3 = e0)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | ALPHA: (1) implies:
% 197.69/34.58  |   (4)  all_56_13 = e0
% 197.69/34.58  | 
% 197.69/34.58  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.58  |   (5)  e3 = e0
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (3), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1697 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_56_12 = e0 & op(e0, e3) = e0
% 197.69/34.58    (2)  all_56_12 = e1
% 197.69/34.58    (3)   ~ (e1 = e0)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | ALPHA: (1) implies:
% 197.69/34.58  |   (4)  all_56_12 = e0
% 197.69/34.58  | 
% 197.69/34.58  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.58  |   (5)  e1 = e0
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (3), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1698 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  all_56_14 = e3 & op(e0, e1) = e3
% 197.69/34.58    (2)  all_56_14 = e2
% 197.69/34.58    (3)   ~ (e3 = e2)
% 197.69/34.58  
% 197.69/34.58  Begin of proof
% 197.69/34.58  | 
% 197.69/34.58  | ALPHA: (1) implies:
% 197.69/34.58  |   (4)  all_56_14 = e3
% 197.69/34.58  | 
% 197.69/34.58  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.58  |   (5)  e3 = e2
% 197.69/34.58  | 
% 197.69/34.58  | REDUCE: (3), (5) imply:
% 197.69/34.58  |   (6)  $false
% 197.69/34.58  | 
% 197.69/34.58  | CLOSE: (6) is inconsistent.
% 197.69/34.58  | 
% 197.69/34.58  End of proof
% 197.69/34.58  
% 197.69/34.58  Sub-proof #1699 shows that the following formulas are inconsistent:
% 197.69/34.58  ----------------------------------------------------------------
% 197.69/34.58    (1)  op(e1, e3) = all_52_2
% 197.69/34.58    (2)   ~ (all_52_2 = e0)
% 197.69/34.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.58    (4)  all_56_12 = e3
% 197.69/34.59    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.69/34.59    (6)   ~ (e3 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (5) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (7)  all_56_6 = e0 & op(e1, e3) = e0
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1768.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (8)  all_56_12 = e0 & op(e0, e3) = e0
% 197.69/34.59  | | 
% 197.69/34.59  | | ALPHA: (8) implies:
% 197.69/34.59  | |   (9)  all_56_12 = e0
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (4), (6), (9) are inconsistent by sub-proof #1700.
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1700 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)  all_56_12 = e3
% 197.69/34.59    (2)  all_56_12 = e0
% 197.69/34.59    (3)   ~ (e3 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.59  |   (4)  e3 = e0
% 197.69/34.59  | 
% 197.69/34.59  | SIMP: (4) implies:
% 197.69/34.59  |   (5)  e3 = e0
% 197.69/34.59  | 
% 197.69/34.59  | REDUCE: (3), (5) imply:
% 197.69/34.59  |   (6)  $false
% 197.69/34.59  | 
% 197.69/34.59  | CLOSE: (6) is inconsistent.
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1701 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)   ~ (e3 = e2)
% 197.69/34.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (3)  op(e2, e2) = all_4_2
% 197.69/34.59    (4)  all_56_5 = e3
% 197.69/34.59    (5)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 197.69/34.59           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.69/34.59             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.69/34.59    (6)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.69/34.59         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.69/34.59    (7)   ~ (all_4_2 = e3)
% 197.69/34.59    (8)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.69/34.59         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.69/34.59    (9)   ~ (e1 = e0)
% 197.69/34.59    (10)  all_36_2 = e0
% 197.69/34.59    (11)   ~ (e2 = e1)
% 197.69/34.59    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.69/34.59          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.69/34.59    (13)  all_56_2 = e0
% 197.69/34.59    (14)  op(e2, e2) = e0
% 197.69/34.59    (15)   ~ (e3 = e1)
% 197.69/34.59    (16)   ~ (e2 = e0)
% 197.69/34.59    (17)   ~ (e3 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (12) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.69/34.59  | |           e2)
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (2), (13), (14), (16), (18) are inconsistent by sub-proof #1714.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (19)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 197.69/34.59  | |           e2)
% 197.69/34.59  | | 
% 197.69/34.59  | | BETA: splitting (19) gives:
% 197.69/34.59  | | 
% 197.69/34.59  | | Case 1:
% 197.69/34.59  | | | 
% 197.69/34.59  | | |   (20)  all_56_5 = e2 & op(e2, e1) = e2
% 197.69/34.59  | | | 
% 197.69/34.59  | | | REF_CLOSE: (1), (4), (20) are inconsistent by sub-proof #1816.
% 197.69/34.59  | | | 
% 197.69/34.59  | | Case 2:
% 197.69/34.59  | | | 
% 197.69/34.59  | | |   (21)  all_56_10 = e2 & op(e2, e0) = e2
% 197.69/34.59  | | | 
% 197.69/34.59  | | | ALPHA: (21) implies:
% 197.69/34.59  | | |   (22)  all_56_10 = e2
% 197.69/34.59  | | | 
% 197.69/34.59  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 197.69/34.59  | | |            (14), (15), (16), (17), (22) are inconsistent by sub-proof
% 197.69/34.59  | | |            #1702.
% 197.69/34.59  | | | 
% 197.69/34.59  | | End of split
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1702 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)   ~ (e3 = e2)
% 197.69/34.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (3)  all_56_10 = e2
% 197.69/34.59    (4)  op(e2, e2) = all_4_2
% 197.69/34.59    (5)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 197.69/34.59           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.69/34.59             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.69/34.59    (6)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.69/34.59         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.69/34.59    (7)   ~ (all_4_2 = e3)
% 197.69/34.59    (8)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.69/34.59         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.69/34.59    (9)   ~ (e1 = e0)
% 197.69/34.59    (10)  all_36_2 = e0
% 197.69/34.59    (11)   ~ (e2 = e1)
% 197.69/34.59    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.69/34.59          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.69/34.59    (13)  all_56_2 = e0
% 197.69/34.59    (14)  op(e2, e2) = e0
% 197.69/34.59    (15)   ~ (e3 = e1)
% 197.69/34.59    (16)   ~ (e2 = e0)
% 197.69/34.59    (17)   ~ (e3 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (8) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (18)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.69/34.59  | |           e1)
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (2), (9), (13), (14), (18) are inconsistent by sub-proof #1712.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (19)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 197.69/34.59  | |           e1)
% 197.69/34.59  | | 
% 197.69/34.59  | | BETA: splitting (19) gives:
% 197.69/34.59  | | 
% 197.69/34.59  | | Case 1:
% 197.69/34.59  | | | 
% 197.69/34.59  | | |   (20)  all_56_5 = e1 & op(e2, e1) = e1
% 197.69/34.59  | | | 
% 197.69/34.59  | | | ALPHA: (20) implies:
% 197.69/34.59  | | |   (21)  all_56_5 = e1
% 197.69/34.59  | | | 
% 197.69/34.59  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (10), (11), (12), (13), (14),
% 197.69/34.59  | | |            (15), (16), (17), (21) are inconsistent by sub-proof #1703.
% 197.69/34.59  | | | 
% 197.69/34.59  | | Case 2:
% 197.69/34.59  | | | 
% 197.69/34.59  | | |   (22)  all_56_10 = e1 & op(e2, e0) = e1
% 197.69/34.59  | | | 
% 197.69/34.59  | | | REF_CLOSE: (3), (11), (22) are inconsistent by sub-proof #1841.
% 197.69/34.59  | | | 
% 197.69/34.59  | | End of split
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1703 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)   ~ (e3 = e2)
% 197.69/34.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (3)  op(e2, e2) = all_4_2
% 197.69/34.59    (4)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 197.69/34.59           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.69/34.59             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.69/34.59    (5)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.69/34.59         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.69/34.59    (6)   ~ (all_4_2 = e3)
% 197.69/34.59    (7)  all_56_5 = e1
% 197.69/34.59    (8)  all_36_2 = e0
% 197.69/34.59    (9)   ~ (e2 = e1)
% 197.69/34.59    (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.69/34.59          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.69/34.59    (11)  all_56_2 = e0
% 197.69/34.59    (12)  op(e2, e2) = e0
% 197.69/34.59    (13)   ~ (e3 = e1)
% 197.69/34.59    (14)   ~ (e2 = e0)
% 197.69/34.59    (15)   ~ (e3 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (10) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.69/34.59  | |           e2)
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (2), (11), (12), (14), (16) are inconsistent by sub-proof #1714.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (17)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 197.69/34.59  | |           e2)
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (13), (15),
% 197.69/34.59  | |            (17) are inconsistent by sub-proof #1704.
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1704 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.69/34.59    (2)   ~ (e3 = e2)
% 197.69/34.59    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (4)  op(e2, e2) = all_4_2
% 197.69/34.59    (5)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 197.69/34.59           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.69/34.59             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.69/34.59    (6)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.69/34.59         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.69/34.59    (7)   ~ (all_4_2 = e3)
% 197.69/34.59    (8)  all_56_5 = e1
% 197.69/34.59    (9)  all_36_2 = e0
% 197.69/34.59    (10)   ~ (e2 = e1)
% 197.69/34.59    (11)  all_56_2 = e0
% 197.69/34.59    (12)   ~ (e3 = e1)
% 197.69/34.59    (13)   ~ (e3 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (1) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (14)  all_56_5 = e2 & op(e2, e1) = e2
% 197.69/34.59  | | 
% 197.69/34.59  | | ALPHA: (14) implies:
% 197.69/34.59  | |   (15)  all_56_5 = e2
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (8), (10), (15) are inconsistent by sub-proof #1822.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (16)  all_56_10 = e2 & op(e2, e0) = e2
% 197.69/34.59  | | 
% 197.69/34.59  | | ALPHA: (16) implies:
% 197.69/34.59  | |   (17)  op(e2, e0) = e2
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (17)
% 197.69/34.59  | |            are inconsistent by sub-proof #1705.
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1705 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)   ~ (e3 = e2)
% 197.69/34.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (3)  op(e2, e2) = all_4_2
% 197.69/34.59    (4)  op(e2, e0) = e2
% 197.69/34.59    (5)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 197.69/34.59           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.69/34.59             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.69/34.59    (6)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.69/34.59         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.69/34.59    (7)   ~ (all_4_2 = e3)
% 197.69/34.59    (8)  all_56_5 = e1
% 197.69/34.59    (9)  all_36_2 = e0
% 197.69/34.59    (10)  all_56_2 = e0
% 197.69/34.59    (11)   ~ (e3 = e1)
% 197.69/34.59    (12)   ~ (e3 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (6) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (13)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.69/34.59  | |           e3)
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (2), (3), (7), (10), (12), (13) are inconsistent by sub-proof
% 197.69/34.59  | |            #1710.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (14)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 197.69/34.59  | |           e3)
% 197.69/34.59  | | 
% 197.69/34.59  | | BETA: splitting (14) gives:
% 197.69/34.59  | | 
% 197.69/34.59  | | Case 1:
% 197.69/34.59  | | | 
% 197.69/34.59  | | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 197.69/34.59  | | | 
% 197.69/34.59  | | | ALPHA: (15) implies:
% 197.69/34.59  | | |   (16)  all_56_5 = e3
% 197.69/34.59  | | | 
% 197.69/34.59  | | | REF_CLOSE: (8), (11), (16) are inconsistent by sub-proof #1825.
% 197.69/34.59  | | | 
% 197.69/34.59  | | Case 2:
% 197.69/34.59  | | | 
% 197.69/34.59  | | |   (17)  all_56_10 = e3 & op(e2, e0) = e3
% 197.69/34.59  | | | 
% 197.69/34.59  | | | ALPHA: (17) implies:
% 197.69/34.59  | | |   (18)  op(e2, e0) = e3
% 197.69/34.59  | | | 
% 197.69/34.59  | | | REF_CLOSE: (1), (2), (4), (5), (9), (18) are inconsistent by sub-proof
% 197.69/34.59  | | |            #1706.
% 197.69/34.59  | | | 
% 197.69/34.59  | | End of split
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1706 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)   ~ (e3 = e2)
% 197.69/34.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (3)  op(e2, e0) = e3
% 197.69/34.59    (4)  op(e2, e0) = e2
% 197.69/34.59    (5)   ~ (all_36_2 = e0) | ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 &
% 197.69/34.59           op(e2, e0) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 =
% 197.69/34.59             e3) & op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.69/34.59    (6)  all_36_2 = e0
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (5) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (7)   ~ (all_36_2 = e0)
% 197.69/34.59  | | 
% 197.69/34.59  | | REDUCE: (6), (7) imply:
% 197.69/34.59  | |   (8)  $false
% 197.69/34.59  | | 
% 197.69/34.59  | | CLOSE: (8) is inconsistent.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (9)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0) =
% 197.69/34.59  | |          all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e3) &
% 197.69/34.59  | |          op(e2, e0) = all_36_1 & $i(all_36_1))
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (1), (2), (3), (4), (9) are inconsistent by sub-proof #1707.
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1707 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)   ~ (e3 = e2)
% 197.69/34.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (3)  op(e2, e0) = e3
% 197.69/34.59    (4)  op(e2, e0) = e2
% 197.69/34.59    (5)  ( ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0) = all_36_1
% 197.69/34.59           & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e3) & op(e2, e0) =
% 197.69/34.59           all_36_1 & $i(all_36_1))
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (5) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (6)   ~ (all_36_0 = e1) & op(all_36_1, e2) = all_36_0 & op(e2, e0) =
% 197.69/34.59  | |        all_36_1 & $i(all_36_0) & $i(all_36_1)
% 197.69/34.59  | | 
% 197.69/34.59  | | ALPHA: (6) implies:
% 197.69/34.59  | |   (7)  op(e2, e0) = all_36_1
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (1), (2), (3), (4), (7) are inconsistent by sub-proof #1709.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (8)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 & $i(all_36_1)
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #1708.
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1708 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)   ~ (all_36_1 = e3) & op(e2, e0) = all_36_1 & $i(all_36_1)
% 197.69/34.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (3)  op(e2, e0) = e3
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | ALPHA: (1) implies:
% 197.69/34.59  |   (4)   ~ (all_36_1 = e3)
% 197.69/34.59  |   (5)  op(e2, e0) = all_36_1
% 197.69/34.59  | 
% 197.69/34.59  | GROUND_INST: instantiating (2) with e3, all_36_1, e0, e2, simplifying with
% 197.69/34.59  |              (3), (5) gives:
% 197.69/34.59  |   (6)  all_36_1 = e3
% 197.69/34.59  | 
% 197.69/34.59  | REDUCE: (4), (6) imply:
% 197.69/34.59  |   (7)  $false
% 197.69/34.59  | 
% 197.69/34.59  | CLOSE: (7) is inconsistent.
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1709 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)   ~ (e3 = e2)
% 197.69/34.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (3)  op(e2, e0) = e3
% 197.69/34.59    (4)  op(e2, e0) = all_36_1
% 197.69/34.59    (5)  op(e2, e0) = e2
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | GROUND_INST: instantiating (2) with e3, all_36_1, e0, e2, simplifying with
% 197.69/34.59  |              (3), (4) gives:
% 197.69/34.59  |   (6)  all_36_1 = e3
% 197.69/34.59  | 
% 197.69/34.59  | GROUND_INST: instantiating (2) with e2, all_36_1, e0, e2, simplifying with
% 197.69/34.59  |              (4), (5) gives:
% 197.69/34.59  |   (7)  all_36_1 = e2
% 197.69/34.59  | 
% 197.69/34.59  | COMBINE_EQS: (6), (7) imply:
% 197.69/34.59  |   (8)  e3 = e2
% 197.69/34.59  | 
% 197.69/34.59  | SIMP: (8) implies:
% 197.69/34.59  |   (9)  e3 = e2
% 197.69/34.59  | 
% 197.69/34.59  | REDUCE: (1), (9) imply:
% 197.69/34.59  |   (10)  $false
% 197.69/34.59  | 
% 197.69/34.59  | CLOSE: (10) is inconsistent.
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1710 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 197.69/34.59    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (3)  op(e2, e2) = all_4_2
% 197.69/34.59    (4)   ~ (all_4_2 = e3)
% 197.69/34.59    (5)  all_56_2 = e0
% 197.69/34.59    (6)   ~ (e3 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (1) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 197.69/34.59  | | 
% 197.69/34.59  | | ALPHA: (7) implies:
% 197.69/34.59  | |   (8)  all_56_2 = e3
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (5), (6), (8) are inconsistent by sub-proof #1711.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 197.69/34.59  | | 
% 197.69/34.59  | | ALPHA: (9) implies:
% 197.69/34.59  | |   (10)  op(e2, e2) = e3
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1975.
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1711 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)  all_56_2 = e3
% 197.69/34.59    (2)  all_56_2 = e0
% 197.69/34.59    (3)   ~ (e3 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.59  |   (4)  e3 = e0
% 197.69/34.59  | 
% 197.69/34.59  | SIMP: (4) implies:
% 197.69/34.59  |   (5)  e3 = e0
% 197.69/34.59  | 
% 197.69/34.59  | REDUCE: (3), (5) imply:
% 197.69/34.59  |   (6)  $false
% 197.69/34.59  | 
% 197.69/34.59  | CLOSE: (6) is inconsistent.
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1712 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (2)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 197.69/34.59    (3)   ~ (e1 = e0)
% 197.69/34.59    (4)  all_56_2 = e0
% 197.69/34.59    (5)  op(e2, e2) = e0
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (2) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (6)  all_56_2 = e1 & op(e2, e3) = e1
% 197.69/34.59  | | 
% 197.69/34.59  | | ALPHA: (6) implies:
% 197.69/34.59  | |   (7)  all_56_2 = e1
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #1713.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (8)  all_56_3 = e1 & op(e2, e2) = e1
% 197.69/34.59  | | 
% 197.69/34.59  | | ALPHA: (8) implies:
% 197.69/34.59  | |   (9)  op(e2, e2) = e1
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #1909.
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1713 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)  all_56_2 = e1
% 197.69/34.59    (2)  all_56_2 = e0
% 197.69/34.59    (3)   ~ (e1 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.59  |   (4)  e1 = e0
% 197.69/34.59  | 
% 197.69/34.59  | SIMP: (4) implies:
% 197.69/34.59  |   (5)  e1 = e0
% 197.69/34.59  | 
% 197.69/34.59  | REDUCE: (3), (5) imply:
% 197.69/34.59  |   (6)  $false
% 197.69/34.59  | 
% 197.69/34.59  | CLOSE: (6) is inconsistent.
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1714 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.59    (2)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 197.69/34.59    (3)  all_56_2 = e0
% 197.69/34.59    (4)  op(e2, e2) = e0
% 197.69/34.59    (5)   ~ (e2 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | BETA: splitting (2) gives:
% 197.69/34.59  | 
% 197.69/34.59  | Case 1:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (6)  all_56_2 = e2 & op(e2, e3) = e2
% 197.69/34.59  | | 
% 197.69/34.59  | | ALPHA: (6) implies:
% 197.69/34.59  | |   (7)  all_56_2 = e2
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #1715.
% 197.69/34.59  | | 
% 197.69/34.59  | Case 2:
% 197.69/34.59  | | 
% 197.69/34.59  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 197.69/34.59  | | 
% 197.69/34.59  | | ALPHA: (8) implies:
% 197.69/34.59  | |   (9)  op(e2, e2) = e2
% 197.69/34.59  | | 
% 197.69/34.59  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1939.
% 197.69/34.59  | | 
% 197.69/34.59  | End of split
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1715 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)  all_56_2 = e2
% 197.69/34.59    (2)  all_56_2 = e0
% 197.69/34.59    (3)   ~ (e2 = e0)
% 197.69/34.59  
% 197.69/34.59  Begin of proof
% 197.69/34.59  | 
% 197.69/34.59  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.59  |   (4)  e2 = e0
% 197.69/34.59  | 
% 197.69/34.59  | SIMP: (4) implies:
% 197.69/34.59  |   (5)  e2 = e0
% 197.69/34.59  | 
% 197.69/34.59  | REDUCE: (3), (5) imply:
% 197.69/34.59  |   (6)  $false
% 197.69/34.59  | 
% 197.69/34.59  | CLOSE: (6) is inconsistent.
% 197.69/34.59  | 
% 197.69/34.59  End of proof
% 197.69/34.59  
% 197.69/34.59  Sub-proof #1716 shows that the following formulas are inconsistent:
% 197.69/34.59  ----------------------------------------------------------------
% 197.69/34.59    (1)  op(e1, e1) = e1
% 197.69/34.59    (2)  op(e1, e3) = all_52_2
% 197.69/34.59    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.69/34.59           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.69/34.59           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.69/34.59                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.69/34.59               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.69/34.59               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.69/34.59           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.69/34.59           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.69/34.59               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.69/34.59           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.69/34.59               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.69/34.59           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.69/34.59           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.69/34.59               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.69/34.59               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.69/34.59               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.69/34.59         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.69/34.59           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.69/34.59           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.69/34.59               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.69/34.59             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.69/34.59         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.69/34.59           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.69/34.59           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.69/34.59                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.69/34.59               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.69/34.59               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.69/34.59           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.69/34.59           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.69/34.59             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.69/34.59           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.69/34.59               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.69/34.59           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.69/34.59           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.69/34.59               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.69/34.59               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.69/34.59               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.69/34.59         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.69/34.59           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.69/34.59           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.69/34.59               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.69/34.59             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.69/34.59         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.69/34.59           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.69/34.59           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.69/34.59                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.69/34.59               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.69/34.59               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.69/34.59           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.69/34.59             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.69/34.59               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.69/34.59           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.69/34.59               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.69/34.59           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.69/34.59           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.69/34.59               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.69/34.59               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.69/34.59               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.69/34.59         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.69/34.59           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.69/34.59           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.69/34.59               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.69/34.59             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.69/34.59         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.69/34.59             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.69/34.59           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.69/34.59               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.69/34.59             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.69/34.59         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.69/34.59             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.69/34.59           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.69/34.59               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.69/34.59             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.69/34.59         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.69/34.59             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.69/34.59           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.69/34.59               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.69/34.59             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.69/34.59         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.69/34.59             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.69/34.59           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.69/34.59               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.69/34.59             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.69/34.59    (4)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.69/34.59         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.69/34.59    (5)  op(e1, e2) = all_52_6
% 197.69/34.59    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.69/34.59         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.69/34.59    (7)   ~ (all_52_11 = e1)
% 197.69/34.59    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.69/34.59         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.69/34.60    (9)  all_56_10 = e1
% 197.69/34.60    (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.69/34.60          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.69/34.60    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.69/34.60          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.69/34.60    (12)   ~ (all_52_2 = e0)
% 197.69/34.60    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.69/34.60          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.69/34.60    (14)   ~ (e3 = e2)
% 197.69/34.60    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.60    (16)  op(e2, e2) = all_4_2
% 197.69/34.60    (17)  op(e2, e0) = all_36_1
% 197.69/34.60    (18)  op(e3, e3) = e1
% 197.69/34.60    (19)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.69/34.60          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.69/34.60    (20)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.69/34.60          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.69/34.60    (21)   ~ (all_52_8 = e3)
% 197.69/34.60    (22)  op(e2, e0) = all_52_13
% 197.69/34.60    (23)  op(e2, e0) = e1
% 197.69/34.60    (24)   ~ (all_52_12 = e0)
% 197.69/34.60    (25)  op(e0, e1) = all_52_11
% 197.69/34.60    (26)  all_56_7 = e3
% 197.69/34.60    (27)  all_56_14 = e3
% 197.69/34.60    (28)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.69/34.60          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.69/34.60    (29)   ~ (all_4_2 = e3)
% 197.69/34.60    (30)   ~ (e1 = e0)
% 197.69/34.60    (31)   ~ (e2 = e1)
% 197.69/34.60    (32)   ~ (all_52_2 = e1)
% 197.69/34.60    (33)  op(e3, e0) = all_52_12
% 197.69/34.60    (34)  op(e2, e1) = all_52_9
% 197.69/34.60    (35)  op(e3, e1) = all_52_8
% 197.69/34.60    (36)  op(e0, e0) = e2
% 197.69/34.60    (37)  op(e2, e2) = e0
% 197.69/34.60    (38)   ~ (all_52_9 = all_52_13)
% 197.69/34.60    (39)   ~ (e3 = e1)
% 197.69/34.60    (40)   ~ (all_52_6 = e1)
% 197.69/34.60    (41)   ~ (e2 = e0)
% 197.69/34.60    (42)  op(e2, e1) = e2
% 197.69/34.60    (43)   ~ (e3 = e0)
% 197.69/34.60    (44)  all_56_1 = e2
% 197.69/34.60    (45)  all_56_13 = e1
% 197.69/34.60  
% 197.69/34.60  Begin of proof
% 197.69/34.60  | 
% 197.69/34.60  | BETA: splitting (28) gives:
% 197.69/34.60  | 
% 197.69/34.60  | Case 1:
% 197.69/34.60  | | 
% 197.69/34.60  | |   (46)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.69/34.60  | |           e3)
% 197.69/34.60  | | 
% 197.69/34.60  | | BETA: splitting (46) gives:
% 197.69/34.60  | | 
% 197.69/34.60  | | Case 1:
% 197.69/34.60  | | | 
% 197.69/34.60  | | |   (47)  all_56_2 = e3 & op(e2, e3) = e3
% 197.69/34.60  | | | 
% 197.69/34.60  | | | ALPHA: (47) implies:
% 197.69/34.60  | | |   (48)  all_56_2 = e3
% 197.69/34.60  | | | 
% 197.69/34.60  | | | BETA: splitting (3) gives:
% 197.69/34.60  | | | 
% 197.69/34.60  | | | Case 1:
% 197.69/34.60  | | | | 
% 197.69/34.60  | | | |   (49)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 197.69/34.60  | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 197.69/34.60  | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 197.69/34.60  | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.69/34.60  | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~
% 197.69/34.60  | | | |               (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.69/34.60  | | | |         | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 197.69/34.60  | | | |           all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) =
% 197.69/34.60  | | | |           e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.69/34.60  | | | |               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.69/34.60  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.69/34.60  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 &
% 197.69/34.60  | | | |           all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1)
% 197.69/34.60  | | | |           = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.69/34.60  | | | |           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.69/34.60  | | | |               (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.69/34.60  | | | |           ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) &
% 197.69/34.60  | | | |               op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 &
% 197.69/34.60  | | | |           all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 &
% 197.69/34.60  | | | |           op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.69/34.60  | | | |           $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.69/34.60  | | | |               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.69/34.60  | | | |           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.69/34.60  | | | |               op(e0, e3) = all_57_2 & $i(all_57_2)))) | (all_57_2 = e3 &
% 197.69/34.60  | | | |           all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0)
% 197.69/34.60  | | | |           = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.69/34.60  | | | |           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.69/34.60  | | | |               (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.69/34.60  | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 197.69/34.60  | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.69/34.60  | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 197.69/34.60  | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.69/34.60  | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 197.69/34.60  | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.69/34.60  | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.69/34.60  | | | |               & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.69/34.60  | | | |               all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 =
% 197.69/34.60  | | | |           e2 & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 197.69/34.60  | | | |           op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.69/34.60  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 197.69/34.60  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 197.69/34.60  | | | |               & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.69/34.60  | | | |               all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 =
% 197.69/34.60  | | | |           e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 197.69/34.60  | | | |           & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.69/34.60  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.69/34.60  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.69/34.60  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.69/34.60  | | | |               all_57_5 & $i(all_57_5))))
% 197.69/34.60  | | | | 
% 197.69/34.60  | | | | BETA: splitting (49) gives:
% 197.69/34.60  | | | | 
% 197.69/34.60  | | | | Case 1:
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | |   (50)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 197.69/34.60  | | | | |           e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 197.69/34.60  | | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) =
% 197.69/34.60  | | | | |               e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.69/34.60  | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) | (
% 197.69/34.60  | | | | |               ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.69/34.60  | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 &
% 197.69/34.60  | | | | |           all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.69/34.60  | | | | |           op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 197.69/34.60  | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.69/34.60  | | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 197.69/34.60  | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.69/34.60  | | | | |               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6
% 197.69/34.60  | | | | |           = e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 197.69/34.60  | | | | |           op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.69/34.60  | | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.69/34.60  | | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 =
% 197.69/34.60  | | | | |               e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 197.69/34.60  | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_1 = e1 & all_57_6
% 197.69/34.60  | | | | |           = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1)
% 197.69/34.60  | | | | |           = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.69/34.60  | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.69/34.60  | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 =
% 197.69/34.60  | | | | |               e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.69/34.60  | | | | |               = all_57_2 & $i(all_57_2))))
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | | BETA: splitting (50) gives:
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | | Case 1:
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | |   (51)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3)
% 197.69/34.60  | | | | | |           = e2 & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) =
% 197.69/34.60  | | | | | |           all_57_12 & $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1)
% 197.69/34.60  | | | | | |               = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.69/34.60  | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.69/34.60  | | | | | |             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.69/34.60  | | | | | |               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 &
% 197.69/34.60  | | | | | |           all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 197.69/34.60  | | | | | |           & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(all_57_10) &
% 197.69/34.60  | | | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1)
% 197.69/34.60  | | | | | |               & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15
% 197.69/34.60  | | | | | |               = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.69/34.60  | | | | | |                 e3) = all_57_2 & $i(all_57_2))))
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | | REF_CLOSE: (10), (14), (15), (16), (26), (29), (31), (37), (41),
% 197.69/34.60  | | | | | |            (45), (51) are inconsistent by sub-proof #1734.
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | Case 2:
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | |   (52)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3)
% 197.69/34.60  | | | | | |           = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) =
% 197.69/34.60  | | | | | |           all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.69/34.60  | | | | | |               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.69/34.60  | | | | | |               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.69/34.60  | | | | | |             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.69/34.60  | | | | | |               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 &
% 197.69/34.60  | | | | | |           all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 197.69/34.60  | | | | | |           & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.69/34.60  | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.69/34.60  | | | | | |               & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15
% 197.69/34.60  | | | | | |               = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.69/34.60  | | | | | |                 e3) = all_57_2 & $i(all_57_2))))
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | | REF_CLOSE: (2), (15), (21), (32), (35), (52) are inconsistent by
% 197.69/34.60  | | | | | |            sub-proof #1733.
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | End of split
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | Case 2:
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | |   (53)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) =
% 197.69/34.60  | | | | |           e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 197.69/34.60  | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) =
% 197.69/34.60  | | | | |               e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.69/34.60  | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0) |
% 197.69/34.60  | | | | |             ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.69/34.60  | | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 197.69/34.60  | | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.69/34.60  | | | | |           op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 197.69/34.60  | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) &
% 197.69/34.60  | | | | |               op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 =
% 197.69/34.60  | | | | |               e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.69/34.60  | | | | |               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7
% 197.69/34.60  | | | | |           = e2 & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 197.69/34.60  | | | | |           op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.69/34.60  | | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 197.69/34.60  | | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 =
% 197.69/34.60  | | | | |               e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 197.69/34.60  | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_4 = e1 & all_57_7
% 197.69/34.60  | | | | |           = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1)
% 197.69/34.60  | | | | |           = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.69/34.60  | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.69/34.60  | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 =
% 197.69/34.60  | | | | |               e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.69/34.60  | | | | |               = all_57_5 & $i(all_57_5))))
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | | BETA: splitting (53) gives:
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | | Case 1:
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | |   (54)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3)
% 197.69/34.60  | | | | | |           = e0 & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) =
% 197.69/34.60  | | | | | |           all_57_15 & $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2)
% 197.69/34.60  | | | | | |               = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11
% 197.69/34.60  | | | | | |               & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) =
% 197.69/34.60  | | | | | |               e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.69/34.60  | | | | | |               $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 &
% 197.69/34.60  | | | | | |           all_57_15 = e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 197.69/34.60  | | | | | |           & op(e0, e3) = e0 & op(e0, e0) = e3 & $i(all_57_10) &
% 197.69/34.60  | | | | | |           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.69/34.60  | | | | | |               & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14
% 197.69/34.60  | | | | | |               = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 197.69/34.60  | | | | | |                 e3) = all_57_1 & $i(all_57_1))))
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | | REF_CLOSE: (15), (18), (24), (30), (33), (54) are inconsistent by
% 197.69/34.60  | | | | | |            sub-proof #1732.
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | Case 2:
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | |   (55)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2)
% 197.69/34.60  | | | | | |           = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) =
% 197.69/34.60  | | | | | |           all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.69/34.60  | | | | | |               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.69/34.60  | | | | | |               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.69/34.60  | | | | | |             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.69/34.60  | | | | | |               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 &
% 197.69/34.60  | | | | | |           all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 197.69/34.60  | | | | | |           & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.69/34.60  | | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.69/34.60  | | | | | |               & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15
% 197.69/34.60  | | | | | |               = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.69/34.60  | | | | | |                 e2) = all_57_5 & $i(all_57_5))))
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | | REF_CLOSE: (5), (15), (30), (37), (40), (55) are inconsistent by
% 197.69/34.60  | | | | | |            sub-proof #1731.
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | End of split
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | End of split
% 197.69/34.60  | | | | 
% 197.69/34.60  | | | Case 2:
% 197.69/34.60  | | | | 
% 197.69/34.60  | | | |   (56)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) =
% 197.69/34.60  | | | |           e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 197.69/34.60  | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 197.69/34.60  | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.69/34.60  | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~
% 197.69/34.60  | | | |               (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.69/34.60  | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 197.69/34.60  | | | |           all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.69/34.60  | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 197.69/34.60  | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.69/34.60  | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.69/34.60  | | | |               & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 197.69/34.60  | | | |               all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 =
% 197.69/34.60  | | | |           e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 &
% 197.69/34.60  | | | |           op(e0, e1) = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.69/34.60  | | | |           ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 197.69/34.60  | | | |               op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 197.69/34.60  | | | |               & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.69/34.60  | | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 & all_57_13
% 197.69/34.60  | | | |           = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 197.69/34.60  | | | |           e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.69/34.60  | | | |           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 197.69/34.60  | | | |               op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.69/34.60  | | | |               & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 197.69/34.60  | | | |               all_57_7 & $i(all_57_7)))) | (all_57_10 = e3 & op(e3, e3)
% 197.69/34.60  | | | |           = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.69/34.60  | | | |                 e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.69/34.60  | | | |           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.69/34.60  | | | |               op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.69/34.60  | | | |               & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.69/34.60  | | | |               all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2, e2)
% 197.69/34.60  | | | |           = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 197.69/34.60  | | | |                 e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.69/34.60  | | | |           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.69/34.60  | | | |               op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 197.69/34.60  | | | |               & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.69/34.60  | | | |               all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1, e1)
% 197.69/34.60  | | | |           = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.69/34.60  | | | |                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.69/34.60  | | | |           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.69/34.60  | | | |               op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 197.69/34.60  | | | |               & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.69/34.60  | | | |               all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0, e0)
% 197.69/34.60  | | | |           = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.69/34.60  | | | |                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.69/34.60  | | | |           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) &
% 197.69/34.60  | | | |               op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 =
% 197.69/34.60  | | | |               e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0)
% 197.69/34.60  | | | |               = all_57_13 & $i(all_57_13))))
% 197.69/34.60  | | | | 
% 197.69/34.60  | | | | BETA: splitting (56) gives:
% 197.69/34.60  | | | | 
% 197.69/34.60  | | | | Case 1:
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | |   (57)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2)
% 197.69/34.60  | | | | |           = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 197.69/34.60  | | | | |           all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) =
% 197.69/34.60  | | | | |               e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.69/34.60  | | | | |               $i(all_57_9))) & ((all_57_14 = e0 & op(e1, e1) = e0) | (
% 197.69/34.60  | | | | |               ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.69/34.60  | | | | |               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 &
% 197.69/34.60  | | | | |           all_57_15 = e2 & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.69/34.60  | | | | |           op(e0, e2) = e0 & op(e0, e0) = e2 & $i(all_57_12) &
% 197.69/34.60  | | | | |           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) &
% 197.69/34.60  | | | | |               op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 197.69/34.60  | | | | |               e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.69/34.60  | | | | |               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 &
% 197.69/34.60  | | | | |           all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 197.69/34.60  | | | | |             e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.69/34.60  | | | | |           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.69/34.60  | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)))
% 197.69/34.60  | | | | |           & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2)
% 197.69/34.60  | | | | |               & op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_8
% 197.69/34.60  | | | | |           = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 197.69/34.60  | | | | |           all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) =
% 197.69/34.60  | | | | |           e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | (
% 197.69/34.60  | | | | |               ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.69/34.60  | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | (
% 197.69/34.60  | | | | |               ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.69/34.60  | | | | |               $i(all_57_7))))
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | | BETA: splitting (57) gives:
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | | Case 1:
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | |   (58)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 197.69/34.60  | | | | | |             e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 197.69/34.60  | | | | | |             e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 197.69/34.60  | | | | | |               op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 197.69/34.60  | | | | | |               all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.69/34.60  | | | | | |                 e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.69/34.60  | | | | | |               all_57_13 & $i(all_57_13)))) | (all_57_5 = e0 &
% 197.69/34.60  | | | | | |           all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 197.69/34.60  | | | | | |           op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.69/34.60  | | | | | |           $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.69/34.60  | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.69/34.60  | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) |
% 197.69/34.60  | | | | | |             ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.69/34.60  | | | | | |               $i(all_57_4))))
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | | BETA: splitting (58) gives:
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | | Case 1:
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | |   (59)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2,
% 197.69/34.60  | | | | | | |           e2) = e0 & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 197.69/34.60  | | | | | | |           e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 197.69/34.60  | | | | | | |             op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 197.69/34.60  | | | | | | |             all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.69/34.60  | | | | | | |               e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.69/34.60  | | | | | | |             all_57_13 & $i(all_57_13)))
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | | ALPHA: (59) implies:
% 197.69/34.60  | | | | | | |   (60)  op(e2, e0) = e2
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | | REF_CLOSE: (15), (22), (34), (38), (42), (60) are inconsistent by
% 197.69/34.60  | | | | | | |            sub-proof #1887.
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | Case 2:
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | |   (61)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2,
% 197.69/34.60  | | | | | | |           e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 197.69/34.60  | | | | | | |         op(e0, e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 &
% 197.69/34.60  | | | | | | |             op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.69/34.60  | | | | | | |             all_57_3 & $i(all_57_3))) & ((all_57_14 = e2 & op(e1,
% 197.69/34.60  | | | | | | |               e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 197.69/34.60  | | | | | | |             all_57_4 & $i(all_57_4)))
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | | ALPHA: (61) implies:
% 197.69/34.60  | | | | | | |   (62)  op(e2, e0) = e0
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | | GROUND_INST: instantiating (15) with e1, all_36_1, e0, e2,
% 197.69/34.60  | | | | | | |              simplifying with (17), (23) gives:
% 197.69/34.60  | | | | | | |   (63)  all_36_1 = e1
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | | GROUND_INST: instantiating (15) with e0, all_36_1, e0, e2,
% 197.69/34.60  | | | | | | |              simplifying with (17), (62) gives:
% 197.69/34.60  | | | | | | |   (64)  all_36_1 = e0
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | | COMBINE_EQS: (63), (64) imply:
% 197.69/34.60  | | | | | | |   (65)  e1 = e0
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | | REDUCE: (30), (65) imply:
% 197.69/34.60  | | | | | | |   (66)  $false
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | | CLOSE: (66) is inconsistent.
% 197.69/34.60  | | | | | | | 
% 197.69/34.60  | | | | | | End of split
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | Case 2:
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | |   (67)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1,
% 197.69/34.60  | | | | | |             e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 197.69/34.60  | | | | | |             e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 &
% 197.69/34.60  | | | | | |               op(e3, e3) = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 197.69/34.60  | | | | | |               all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.69/34.60  | | | | | |                 e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.69/34.60  | | | | | |               all_57_11 & $i(all_57_11)))) | (all_57_8 = e0 &
% 197.69/34.60  | | | | | |           all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 197.69/34.60  | | | | | |           op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.69/34.60  | | | | | |           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.69/34.60  | | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.69/34.60  | | | | | |               $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.69/34.60  | | | | | |             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.69/34.60  | | | | | |               $i(all_57_7))))
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | | REF_CLOSE: (7), (15), (25), (31), (36), (67) are inconsistent by
% 197.69/34.60  | | | | | |            sub-proof #1730.
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | End of split
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | Case 2:
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | |   (68)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2,
% 197.69/34.60  | | | | |                 e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.69/34.60  | | | | |               all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 197.69/34.60  | | | | |                 e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.69/34.60  | | | | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.69/34.60  | | | | |                 e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.69/34.60  | | | | |               all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 197.69/34.60  | | | | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.69/34.60  | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3)))
% 197.69/34.60  | | | | |           & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1)
% 197.69/34.60  | | | | |               & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 =
% 197.69/34.60  | | | | |               e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.69/34.60  | | | | |               = all_57_5 & $i(all_57_5)))) | (all_57_14 = e1 & op(e1,
% 197.69/34.60  | | | | |             e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.69/34.60  | | | | |               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6)))
% 197.69/34.60  | | | | |           & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2)
% 197.69/34.60  | | | | |               & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 =
% 197.69/34.60  | | | | |               e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1)
% 197.69/34.60  | | | | |               = all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 197.69/34.60  | | | | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.69/34.60  | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9)))
% 197.69/34.60  | | | | |           & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2)
% 197.69/34.60  | | | | |               & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 197.69/34.60  | | | | |               = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.69/34.60  | | | | |                 e0) = all_57_13 & $i(all_57_13))))
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | | BETA: splitting (68) gives:
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | | Case 1:
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | |   (69)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 &
% 197.69/34.60  | | | | | |               op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.69/34.60  | | | | | |               all_57_0 & $i(all_57_0))) & ((all_57_14 = e3 & op(e1,
% 197.69/34.60  | | | | | |                 e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.69/34.60  | | | | | |               all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.69/34.60  | | | | | |                 e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.69/34.60  | | | | | |               all_57_2 & $i(all_57_2)))) | (all_57_12 = e2 & op(e2,
% 197.69/34.60  | | | | | |             e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.69/34.60  | | | | | |               (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.69/34.60  | | | | | |               $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) |
% 197.69/34.60  | | | | | |             ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.69/34.60  | | | | | |               $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.69/34.60  | | | | | |             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.69/34.60  | | | | | |               $i(all_57_5))))
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | | REF_CLOSE: (2), (4), (6), (11), (12), (13), (14), (15), (26), (30),
% 197.69/34.60  | | | | | |            (31), (39), (41), (43), (44), (45), (48), (69) are
% 197.69/34.60  | | | | | |            inconsistent by sub-proof #1719.
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | Case 2:
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | |   (70)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 &
% 197.69/34.60  | | | | | |               op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.69/34.60  | | | | | |               all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2,
% 197.69/34.60  | | | | | |                 e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 197.69/34.60  | | | | | |               all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.69/34.60  | | | | | |                 e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.69/34.60  | | | | | |               all_57_8 & $i(all_57_8)))) | (all_57_15 = e0 & op(e0,
% 197.69/34.60  | | | | | |             e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.69/34.60  | | | | | |               (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.69/34.60  | | | | | |               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) |
% 197.69/34.60  | | | | | |             ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.69/34.60  | | | | | |               $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.69/34.60  | | | | | |             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.69/34.60  | | | | | |               $i(all_57_13))))
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | | REF_CLOSE: (15), (30), (36), (37), (41), (42), (70) are inconsistent
% 197.69/34.60  | | | | | |            by sub-proof #1717.
% 197.69/34.60  | | | | | | 
% 197.69/34.60  | | | | | End of split
% 197.69/34.60  | | | | | 
% 197.69/34.60  | | | | End of split
% 197.69/34.60  | | | | 
% 197.69/34.60  | | | End of split
% 197.69/34.60  | | | 
% 197.69/34.60  | | Case 2:
% 197.69/34.60  | | | 
% 197.69/34.60  | | |   (71)  all_56_3 = e3 & op(e2, e2) = e3
% 197.69/34.60  | | | 
% 197.69/34.60  | | | ALPHA: (71) implies:
% 197.69/34.60  | | |   (72)  op(e2, e2) = e3
% 197.69/34.60  | | | 
% 197.69/34.60  | | | REF_CLOSE: (15), (16), (29), (72) are inconsistent by sub-proof #1975.
% 197.69/34.60  | | | 
% 197.69/34.60  | | End of split
% 197.69/34.60  | | 
% 197.69/34.60  | Case 2:
% 197.69/34.60  | | 
% 197.69/34.60  | |   (73)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 197.69/34.60  | |           e3)
% 197.69/34.60  | | 
% 197.69/34.60  | | REF_CLOSE: (1), (8), (9), (14), (15), (19), (20), (27), (30), (31), (39),
% 197.69/34.60  | |            (41), (43), (73) are inconsistent by sub-proof #1741.
% 197.69/34.60  | | 
% 197.69/34.60  | End of split
% 197.69/34.60  | 
% 197.69/34.60  End of proof
% 197.69/34.60  
% 197.69/34.60  Sub-proof #1717 shows that the following formulas are inconsistent:
% 197.69/34.60  ----------------------------------------------------------------
% 197.69/34.60    (1)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.69/34.60             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.69/34.60           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.69/34.60               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.69/34.60             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.69/34.60         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.69/34.60             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.69/34.60           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.69/34.60               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.69/34.60             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.69/34.60    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.60    (3)   ~ (e1 = e0)
% 197.69/34.60    (4)  op(e0, e0) = e2
% 197.69/34.60    (5)  op(e2, e2) = e0
% 197.69/34.60    (6)   ~ (e2 = e0)
% 197.69/34.60    (7)  op(e2, e1) = e2
% 197.69/34.60  
% 197.69/34.60  Begin of proof
% 197.69/34.60  | 
% 197.69/34.60  | BETA: splitting (1) gives:
% 197.69/34.60  | 
% 197.69/34.60  | Case 1:
% 197.69/34.60  | | 
% 197.69/34.60  | |   (8)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) =
% 197.69/34.60  | |            e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.69/34.60  | |            $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.69/34.60  | |            (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) &
% 197.69/34.60  | |        ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.69/34.60  | |              e1) = all_57_8 & $i(all_57_8)))
% 197.69/34.60  | | 
% 197.69/34.60  | | ALPHA: (8) implies:
% 197.69/34.60  | |   (9)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.69/34.60  | |          = all_57_7 & $i(all_57_7))
% 197.69/34.60  | | 
% 197.69/34.60  | | BETA: splitting (9) gives:
% 197.69/34.60  | | 
% 197.69/34.60  | | Case 1:
% 197.69/34.60  | | | 
% 197.69/34.60  | | |   (10)  all_57_12 = e1 & op(e2, e2) = e1
% 197.69/34.60  | | | 
% 197.69/34.60  | | | ALPHA: (10) implies:
% 197.69/34.60  | | |   (11)  op(e2, e2) = e1
% 197.69/34.60  | | | 
% 197.69/34.60  | | | REF_CLOSE: (2), (3), (5), (11) are inconsistent by sub-proof #1909.
% 197.69/34.60  | | | 
% 197.69/34.60  | | Case 2:
% 197.69/34.60  | | | 
% 197.69/34.60  | | |   (12)   ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)
% 197.69/34.60  | | | 
% 197.69/34.60  | | | ALPHA: (12) implies:
% 197.69/34.60  | | |   (13)   ~ (all_57_7 = e2)
% 197.69/34.60  | | |   (14)  op(e2, e1) = all_57_7
% 197.69/34.60  | | | 
% 197.69/34.60  | | | REF_CLOSE: (2), (7), (13), (14) are inconsistent by sub-proof #1718.
% 197.69/34.60  | | | 
% 197.69/34.60  | | End of split
% 197.69/34.60  | | 
% 197.69/34.60  | Case 2:
% 197.69/34.60  | | 
% 197.69/34.60  | |   (15)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) =
% 197.69/34.60  | |             e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.69/34.60  | |             $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.69/34.60  | |             (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 197.69/34.60  | |         ((all_57_14 = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.69/34.60  | |               e0) = all_57_13 & $i(all_57_13)))
% 197.69/34.60  | | 
% 197.69/34.60  | | ALPHA: (15) implies:
% 197.69/34.60  | |   (16)  op(e0, e0) = e0
% 197.69/34.60  | | 
% 197.69/34.60  | | REF_CLOSE: (2), (4), (6), (16) are inconsistent by sub-proof #1945.
% 197.69/34.60  | | 
% 197.69/34.60  | End of split
% 197.69/34.60  | 
% 197.69/34.60  End of proof
% 197.69/34.60  
% 197.69/34.60  Sub-proof #1718 shows that the following formulas are inconsistent:
% 197.69/34.60  ----------------------------------------------------------------
% 197.69/34.61    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (2)  op(e2, e1) = all_57_7
% 197.69/34.61    (3)  op(e2, e1) = e2
% 197.69/34.61    (4)   ~ (all_57_7 = e2)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | GROUND_INST: instantiating (1) with e2, all_57_7, e1, e2, simplifying with
% 197.69/34.61  |              (2), (3) gives:
% 197.69/34.61  |   (5)  all_57_7 = e2
% 197.69/34.61  | 
% 197.69/34.61  | REDUCE: (4), (5) imply:
% 197.69/34.61  |   (6)  $false
% 197.69/34.61  | 
% 197.69/34.61  | CLOSE: (6) is inconsistent.
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1719 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  op(e1, e3) = all_52_2
% 197.69/34.61    (2)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.69/34.61         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.69/34.61    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.69/34.61         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.69/34.61    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.69/34.61         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.69/34.61    (5)   ~ (all_52_2 = e0)
% 197.69/34.61    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.69/34.61         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.69/34.61    (7)   ~ (e3 = e2)
% 197.69/34.61    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (9)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.69/34.61             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.69/34.61           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.69/34.61               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.69/34.61             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.69/34.61         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.69/34.61             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.69/34.61           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.69/34.61               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.69/34.61             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.69/34.61    (10)  all_56_7 = e3
% 197.69/34.61    (11)  all_56_2 = e3
% 197.69/34.61    (12)   ~ (e1 = e0)
% 197.69/34.61    (13)   ~ (e2 = e1)
% 197.69/34.61    (14)   ~ (e3 = e1)
% 197.69/34.61    (15)   ~ (e2 = e0)
% 197.69/34.61    (16)   ~ (e3 = e0)
% 197.69/34.61    (17)  all_56_1 = e2
% 197.69/34.61    (18)  all_56_13 = e1
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (9) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (19)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 197.69/34.61  | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.69/34.61  | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.69/34.61  | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.69/34.61  | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.69/34.61  | |               e3) = all_57_2 & $i(all_57_2)))
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (19) implies:
% 197.69/34.61  | |   (20)  op(e3, e3) = e3
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (11), (12), (13), (14), (15),
% 197.69/34.61  | |            (16), (20) are inconsistent by sub-proof #1720.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (21)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 197.69/34.61  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.69/34.61  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.69/34.61  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.69/34.61  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.69/34.61  | |               e2) = all_57_5 & $i(all_57_5)))
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (21) implies:
% 197.69/34.61  | |   (22)  op(e2, e2) = e2
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (2), (8), (10), (12), (15), (16), (17), (18), (22) are
% 197.69/34.61  | |            inconsistent by sub-proof #1786.
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1720 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  op(e1, e3) = all_52_2
% 197.69/34.61    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.69/34.61         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.69/34.61    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.69/34.61         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.69/34.61    (4)   ~ (all_52_2 = e0)
% 197.69/34.61    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.69/34.61         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.69/34.61    (6)   ~ (e3 = e2)
% 197.69/34.61    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (8)  op(e3, e3) = e3
% 197.69/34.61    (9)  all_56_2 = e3
% 197.69/34.61    (10)   ~ (e1 = e0)
% 197.69/34.61    (11)   ~ (e2 = e1)
% 197.69/34.61    (12)   ~ (e3 = e1)
% 197.69/34.61    (13)   ~ (e2 = e0)
% 197.69/34.61    (14)   ~ (e3 = e0)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (3) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 197.69/34.61  | |           e0)
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (7), (8), (9), (14), (15) are inconsistent by sub-proof #1728.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 197.69/34.61  | |           e0)
% 197.69/34.61  | | 
% 197.69/34.61  | | BETA: splitting (16) gives:
% 197.69/34.61  | | 
% 197.69/34.61  | | Case 1:
% 197.69/34.61  | | | 
% 197.69/34.61  | | |   (17)  all_56_6 = e0 & op(e1, e3) = e0
% 197.69/34.61  | | | 
% 197.69/34.61  | | | REF_CLOSE: (1), (4), (7), (17) are inconsistent by sub-proof #1768.
% 197.69/34.61  | | | 
% 197.69/34.61  | | Case 2:
% 197.69/34.61  | | | 
% 197.69/34.61  | | |   (18)  all_56_12 = e0 & op(e0, e3) = e0
% 197.69/34.61  | | | 
% 197.69/34.61  | | | ALPHA: (18) implies:
% 197.69/34.61  | | |   (19)  all_56_12 = e0
% 197.69/34.61  | | | 
% 197.69/34.61  | | | REF_CLOSE: (2), (5), (6), (7), (8), (9), (10), (11), (12), (13), (19) are
% 197.69/34.61  | | |            inconsistent by sub-proof #1721.
% 197.69/34.61  | | | 
% 197.69/34.61  | | End of split
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1721 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.69/34.61         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.69/34.61    (2)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.69/34.61         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.69/34.61    (3)   ~ (e3 = e2)
% 197.69/34.61    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (5)  op(e3, e3) = e3
% 197.69/34.61    (6)  all_56_2 = e3
% 197.69/34.61    (7)   ~ (e1 = e0)
% 197.69/34.61    (8)   ~ (e2 = e1)
% 197.69/34.61    (9)  all_56_12 = e0
% 197.69/34.61    (10)   ~ (e3 = e1)
% 197.69/34.61    (11)   ~ (e2 = e0)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (1) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 197.69/34.61  | |           e2)
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (3), (4), (5), (6), (12) are inconsistent by sub-proof #1727.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 197.69/34.61  | |           e2)
% 197.69/34.61  | | 
% 197.69/34.61  | | BETA: splitting (13) gives:
% 197.69/34.61  | | 
% 197.69/34.61  | | Case 1:
% 197.69/34.61  | | | 
% 197.69/34.61  | | |   (14)  all_56_6 = e2 & op(e1, e3) = e2
% 197.69/34.61  | | | 
% 197.69/34.61  | | | ALPHA: (14) implies:
% 197.69/34.61  | | |   (15)  all_56_6 = e2
% 197.69/34.61  | | | 
% 197.69/34.61  | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (15) are inconsistent
% 197.69/34.61  | | |            by sub-proof #1722.
% 197.69/34.61  | | | 
% 197.69/34.61  | | Case 2:
% 197.69/34.61  | | | 
% 197.69/34.61  | | |   (16)  all_56_12 = e2 & op(e0, e3) = e2
% 197.69/34.61  | | | 
% 197.69/34.61  | | | ALPHA: (16) implies:
% 197.69/34.61  | | |   (17)  all_56_12 = e2
% 197.69/34.61  | | | 
% 197.69/34.61  | | | REF_CLOSE: (9), (11), (17) are inconsistent by sub-proof #1852.
% 197.69/34.61  | | | 
% 197.69/34.61  | | End of split
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1722 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 197.69/34.61         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 197.69/34.61    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (3)  all_56_6 = e2
% 197.69/34.61    (4)  op(e3, e3) = e3
% 197.69/34.61    (5)  all_56_2 = e3
% 197.69/34.61    (6)   ~ (e1 = e0)
% 197.69/34.61    (7)   ~ (e2 = e1)
% 197.69/34.61    (8)  all_56_12 = e0
% 197.69/34.61    (9)   ~ (e3 = e1)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (1) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 197.69/34.61  | |           e1)
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (2), (4), (5), (9), (10) are inconsistent by sub-proof #1725.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (11)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 197.69/34.61  | |           e1)
% 197.69/34.61  | | 
% 197.69/34.61  | | BETA: splitting (11) gives:
% 197.69/34.61  | | 
% 197.69/34.61  | | Case 1:
% 197.69/34.61  | | | 
% 197.69/34.61  | | |   (12)  all_56_6 = e1 & op(e1, e3) = e1
% 197.69/34.61  | | | 
% 197.69/34.61  | | | REF_CLOSE: (3), (7), (12) are inconsistent by sub-proof #1724.
% 197.69/34.61  | | | 
% 197.69/34.61  | | Case 2:
% 197.69/34.61  | | | 
% 197.69/34.61  | | |   (13)  all_56_12 = e1 & op(e0, e3) = e1
% 197.69/34.61  | | | 
% 197.69/34.61  | | | ALPHA: (13) implies:
% 197.69/34.61  | | |   (14)  all_56_12 = e1
% 197.69/34.61  | | | 
% 197.69/34.61  | | | REF_CLOSE: (6), (8), (14) are inconsistent by sub-proof #1723.
% 197.69/34.61  | | | 
% 197.69/34.61  | | End of split
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1723 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  all_56_12 = e1
% 197.69/34.61    (2)  all_56_12 = e0
% 197.69/34.61    (3)   ~ (e1 = e0)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | COMBINE_EQS: (1), (2) imply:
% 197.69/34.61  |   (4)  e1 = e0
% 197.69/34.61  | 
% 197.69/34.61  | SIMP: (4) implies:
% 197.69/34.61  |   (5)  e1 = e0
% 197.69/34.61  | 
% 197.69/34.61  | REDUCE: (3), (5) imply:
% 197.69/34.61  |   (6)  $false
% 197.69/34.61  | 
% 197.69/34.61  | CLOSE: (6) is inconsistent.
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1724 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  all_56_6 = e1 & op(e1, e3) = e1
% 197.69/34.61    (2)  all_56_6 = e2
% 197.69/34.61    (3)   ~ (e2 = e1)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | ALPHA: (1) implies:
% 197.69/34.61  |   (4)  all_56_6 = e1
% 197.69/34.61  | 
% 197.69/34.61  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.61  |   (5)  e2 = e1
% 197.69/34.61  | 
% 197.69/34.61  | REDUCE: (3), (5) imply:
% 197.69/34.61  |   (6)  $false
% 197.69/34.61  | 
% 197.69/34.61  | CLOSE: (6) is inconsistent.
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1725 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (2)  op(e3, e3) = e3
% 197.69/34.61    (3)  all_56_2 = e3
% 197.69/34.61    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 197.69/34.61    (5)   ~ (e3 = e1)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (4) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (6)  all_56_0 = e1 & op(e3, e3) = e1
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (6) implies:
% 197.69/34.61  | |   (7)  op(e3, e3) = e1
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1966.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (8)  all_56_2 = e1 & op(e2, e3) = e1
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #1726.
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1726 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  all_56_2 = e1 & op(e2, e3) = e1
% 197.69/34.61    (2)  all_56_2 = e3
% 197.69/34.61    (3)   ~ (e3 = e1)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | ALPHA: (1) implies:
% 197.69/34.61  |   (4)  all_56_2 = e1
% 197.69/34.61  | 
% 197.69/34.61  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.61  |   (5)  e3 = e1
% 197.69/34.61  | 
% 197.69/34.61  | REDUCE: (3), (5) imply:
% 197.69/34.61  |   (6)  $false
% 197.69/34.61  | 
% 197.69/34.61  | CLOSE: (6) is inconsistent.
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1727 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)   ~ (e3 = e2)
% 197.69/34.61    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (3)  op(e3, e3) = e3
% 197.69/34.61    (4)  all_56_2 = e3
% 197.69/34.61    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (5) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (6)  all_56_0 = e2 & op(e3, e3) = e2
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (6) implies:
% 197.69/34.61  | |   (7)  op(e3, e3) = e2
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1957.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (8)  all_56_2 = e2 & op(e2, e3) = e2
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #1861.
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1728 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (2)  op(e3, e3) = e3
% 197.69/34.61    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 197.69/34.61    (4)  all_56_2 = e3
% 197.69/34.61    (5)   ~ (e3 = e0)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (3) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (6)  all_56_0 = e0 & op(e3, e3) = e0
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (6) implies:
% 197.69/34.61  | |   (7)  op(e3, e3) = e0
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1961.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (8)  all_56_2 = e0 & op(e2, e3) = e0
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1729.
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1729 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  all_56_2 = e0 & op(e2, e3) = e0
% 197.69/34.61    (2)  all_56_2 = e3
% 197.69/34.61    (3)   ~ (e3 = e0)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | ALPHA: (1) implies:
% 197.69/34.61  |   (4)  all_56_2 = e0
% 197.69/34.61  | 
% 197.69/34.61  | COMBINE_EQS: (2), (4) imply:
% 197.69/34.61  |   (5)  e3 = e0
% 197.69/34.61  | 
% 197.69/34.61  | REDUCE: (3), (5) imply:
% 197.69/34.61  |   (6)  $false
% 197.69/34.61  | 
% 197.69/34.61  | CLOSE: (6) is inconsistent.
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1730 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)   ~ (all_52_11 = e1)
% 197.69/34.61    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (3)  op(e0, e1) = all_52_11
% 197.69/34.61    (4)   ~ (e2 = e1)
% 197.69/34.61    (5)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.69/34.61           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.69/34.61           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.69/34.61                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 197.69/34.61               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.69/34.61               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 197.69/34.61           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 197.69/34.61             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.69/34.61               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.69/34.61           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.69/34.61               = all_57_7 & $i(all_57_7))))
% 197.69/34.61    (6)  op(e0, e0) = e2
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (5) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (7)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.69/34.61  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.69/34.61  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.69/34.61  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 197.69/34.61  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.69/34.61  | |            all_57_11 & $i(all_57_11)))
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (7) implies:
% 197.69/34.61  | |   (8)  op(e0, e1) = e1
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1885.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (9)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 197.69/34.61  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.69/34.61  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.69/34.61  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.69/34.61  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 197.69/34.61  | |            & $i(all_57_7)))
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (9) implies:
% 197.69/34.61  | |   (10)  op(e0, e0) = e1
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1780.
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1731 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  op(e1, e2) = all_52_6
% 197.69/34.61    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (3)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.69/34.61           op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.69/34.61           $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.69/34.61                 e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1 &
% 197.69/34.61               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.69/34.61               $i(all_57_8)))) | (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.69/34.61           op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1)
% 197.69/34.61           = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.69/34.61               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.69/34.61           ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2)
% 197.69/34.61               = all_57_5 & $i(all_57_5))))
% 197.69/34.61    (4)   ~ (e1 = e0)
% 197.69/34.61    (5)  op(e2, e2) = e0
% 197.69/34.61    (6)   ~ (all_52_6 = e1)
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (3) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (7)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 197.69/34.61  | |        op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 &
% 197.69/34.61  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.69/34.61  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_15 = e1
% 197.69/34.61  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.69/34.61  | |            & $i(all_57_8)))
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (7) implies:
% 197.69/34.61  | |   (8)  op(e2, e2) = e1
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1909.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (9)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) =
% 197.69/34.61  | |        all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.69/34.61  | |        $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 =
% 197.69/34.61  | |              e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.69/34.61  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.69/34.61  | |            & $i(all_57_5)))
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (9) implies:
% 197.69/34.61  | |   (10)  op(e1, e2) = e1
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1970.
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1732 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (2)  op(e3, e3) = e1
% 197.69/34.61    (3)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.69/34.61           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.69/34.61           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.69/34.61                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.69/34.61               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.69/34.61               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.69/34.61           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.69/34.61           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.69/34.61             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.69/34.61           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.69/34.61               = all_57_1 & $i(all_57_1))))
% 197.69/34.61    (4)   ~ (all_52_12 = e0)
% 197.69/34.61    (5)   ~ (e1 = e0)
% 197.69/34.61    (6)  op(e3, e0) = all_52_12
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (3) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.69/34.61  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.69/34.61  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 197.69/34.61  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 197.69/34.61  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.69/34.61  | |            all_57_13 & $i(all_57_13)))
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (7) implies:
% 197.69/34.61  | |   (8)  op(e3, e3) = e0
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1937.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 197.69/34.61  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.69/34.61  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.69/34.61  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.69/34.61  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 197.69/34.61  | |            & $i(all_57_1)))
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (9) implies:
% 197.69/34.61  | |   (10)  op(e3, e0) = e0
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1799.
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1733 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  op(e1, e3) = all_52_2
% 197.69/34.61    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (3)   ~ (all_52_8 = e3)
% 197.69/34.61    (4)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.69/34.61           op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.69/34.61           $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 197.69/34.61                 e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 &
% 197.69/34.61               op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 197.69/34.61               $i(all_57_8)))) | (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.69/34.61           op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1)
% 197.69/34.61           = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.69/34.61               (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.69/34.61           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.69/34.61               = all_57_2 & $i(all_57_2))))
% 197.69/34.61    (5)   ~ (all_52_2 = e1)
% 197.69/34.61    (6)  op(e3, e1) = all_52_8
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (4) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (7)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 197.69/34.61  | |        op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 197.69/34.61  | |        $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 =
% 197.69/34.61  | |              e2) & op(e2, e1) = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1
% 197.69/34.61  | |            & op(e0, e0) = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8
% 197.69/34.61  | |            & $i(all_57_8)))
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (7) implies:
% 197.69/34.61  | |   (8)  op(e3, e1) = e3
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1759.
% 197.69/34.61  | | 
% 197.69/34.61  | Case 2:
% 197.69/34.61  | | 
% 197.69/34.61  | |   (9)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) =
% 197.69/34.61  | |        all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.69/34.61  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.69/34.61  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.69/34.61  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 197.69/34.61  | |            & $i(all_57_2)))
% 197.69/34.61  | | 
% 197.69/34.61  | | ALPHA: (9) implies:
% 197.69/34.61  | |   (10)  op(e1, e3) = e1
% 197.69/34.61  | | 
% 197.69/34.61  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1974.
% 197.69/34.61  | | 
% 197.69/34.61  | End of split
% 197.69/34.61  | 
% 197.69/34.61  End of proof
% 197.69/34.61  
% 197.69/34.61  Sub-proof #1734 shows that the following formulas are inconsistent:
% 197.69/34.61  ----------------------------------------------------------------
% 197.69/34.61    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.69/34.61         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.69/34.61    (2)   ~ (e3 = e2)
% 197.69/34.61    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.69/34.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.69/34.61    (4)  op(e2, e2) = all_4_2
% 197.69/34.61    (5)  all_56_7 = e3
% 197.69/34.61    (6)   ~ (all_4_2 = e3)
% 197.69/34.61    (7)   ~ (e2 = e1)
% 197.69/34.61    (8)  op(e2, e2) = e0
% 197.69/34.61    (9)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.69/34.61           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.69/34.61           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.69/34.61                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.69/34.61               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.69/34.61               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.69/34.61           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.69/34.61           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.69/34.61               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.69/34.61           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.69/34.61               = all_57_2 & $i(all_57_2))))
% 197.69/34.61    (10)   ~ (e2 = e0)
% 197.69/34.61    (11)  all_56_13 = e1
% 197.69/34.61  
% 197.69/34.61  Begin of proof
% 197.69/34.61  | 
% 197.69/34.61  | BETA: splitting (9) gives:
% 197.69/34.61  | 
% 197.69/34.61  | Case 1:
% 197.69/34.61  | | 
% 197.80/34.61  | |   (12)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.80/34.61  | |         op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.80/34.61  | |         $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4
% 197.80/34.61  | |               = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 =
% 197.80/34.61  | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.80/34.61  | |             all_57_5 & $i(all_57_5)))
% 197.80/34.61  | | 
% 197.80/34.61  | | ALPHA: (12) implies:
% 197.80/34.61  | |   (13)  op(e3, e2) = e3
% 197.80/34.61  | | 
% 197.80/34.61  | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (10), (11), (13) are inconsistent
% 197.80/34.61  | |            by sub-proof #1923.
% 197.80/34.61  | | 
% 197.80/34.61  | Case 2:
% 197.80/34.61  | | 
% 197.80/34.61  | |   (14)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 197.80/34.61  | |         all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.80/34.61  | |         $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1
% 197.80/34.61  | |               = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 =
% 197.80/34.62  | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.80/34.62  | |             all_57_2 & $i(all_57_2)))
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (14) implies:
% 197.80/34.62  | |   (15)  op(e2, e2) = e3
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (3), (4), (6), (15) are inconsistent by sub-proof #1975.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1735 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_56_5 = e3
% 197.80/34.62    (2)  all_56_5 = e2
% 197.80/34.62    (3)   ~ (e3 = e2)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.62  |   (4)  e3 = e2
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (4) implies:
% 197.80/34.62  |   (5)  e3 = e2
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1736 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ~ (all_52_11 = e1)
% 197.80/34.62    (2)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 197.80/34.62    (3)  all_54_14 = all_52_11
% 197.80/34.62    (4)   ~ (all_52_11 = e0)
% 197.80/34.62    (5)   ~ (all_52_11 = e2)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (2) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (6)  all_54_14 = e2
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #1740.
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (7)  all_54_14 = e1 | all_54_14 = e0
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1737.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1737 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_54_14 = e1 | all_54_14 = e0
% 197.80/34.62    (2)  all_54_14 = all_52_11
% 197.80/34.62    (3)   ~ (all_52_11 = e1)
% 197.80/34.62    (4)   ~ (all_52_11 = e0)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (1) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (5)  all_54_14 = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1739.
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (6)  all_54_14 = e0
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1738.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1738 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_54_14 = all_52_11
% 197.80/34.62    (2)  all_54_14 = e0
% 197.80/34.62    (3)   ~ (all_52_11 = e0)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.62  |   (4)  all_52_11 = e0
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (4) implies:
% 197.80/34.62  |   (5)  all_52_11 = e0
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1739 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_54_14 = all_52_11
% 197.80/34.62    (2)  all_54_14 = e1
% 197.80/34.62    (3)   ~ (all_52_11 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.62  |   (4)  all_52_11 = e1
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (4) implies:
% 197.80/34.62  |   (5)  all_52_11 = e1
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1740 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_54_14 = all_52_11
% 197.80/34.62    (2)  all_54_14 = e2
% 197.80/34.62    (3)   ~ (all_52_11 = e2)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.62  |   (4)  all_52_11 = e2
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (4) implies:
% 197.80/34.62  |   (5)  all_52_11 = e2
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1741 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  op(e1, e1) = e1
% 197.80/34.62    (2)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.80/34.62         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.80/34.62    (3)  all_56_10 = e1
% 197.80/34.62    (4)   ~ (e3 = e2)
% 197.80/34.62    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.80/34.62         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.62    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.80/34.62         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.80/34.62    (8)  all_56_14 = e3
% 197.80/34.62    (9)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.80/34.62    (10)   ~ (e1 = e0)
% 197.80/34.62    (11)   ~ (e2 = e1)
% 197.80/34.62    (12)   ~ (e3 = e1)
% 197.80/34.62    (13)   ~ (e2 = e0)
% 197.80/34.62    (14)   ~ (e3 = e0)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (9) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (15) implies:
% 197.80/34.62  | |   (16)  all_56_5 = e3
% 197.80/34.62  | | 
% 197.80/34.62  | | BETA: splitting (6) gives:
% 197.80/34.62  | | 
% 197.80/34.62  | | Case 1:
% 197.80/34.62  | | | 
% 197.80/34.62  | | |   (17)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 197.80/34.62  | | |           e2)
% 197.80/34.62  | | | 
% 197.80/34.62  | | | BETA: splitting (17) gives:
% 197.80/34.62  | | | 
% 197.80/34.62  | | | Case 1:
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | |   (18)  all_56_4 = e2 & op(e3, e1) = e2
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | | ALPHA: (18) implies:
% 197.80/34.62  | | | |   (19)  all_56_4 = e2
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 197.80/34.62  | | | |            (16), (19) are inconsistent by sub-proof #1744.
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | Case 2:
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | |   (20)  all_56_5 = e2 & op(e2, e1) = e2
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | | REF_CLOSE: (4), (16), (20) are inconsistent by sub-proof #1816.
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | End of split
% 197.80/34.62  | | | 
% 197.80/34.62  | | Case 2:
% 197.80/34.62  | | | 
% 197.80/34.62  | | |   (21)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 197.80/34.62  | | |           e2)
% 197.80/34.62  | | | 
% 197.80/34.62  | | | REF_CLOSE: (1), (4), (5), (8), (11), (21) are inconsistent by sub-proof
% 197.80/34.62  | | |            #1743.
% 197.80/34.62  | | | 
% 197.80/34.62  | | End of split
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (22)  all_56_10 = e3 & op(e2, e0) = e3
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (22) implies:
% 197.80/34.62  | |   (23)  all_56_10 = e3
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (3), (12), (23) are inconsistent by sub-proof #1742.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1742 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_56_10 = e3
% 197.80/34.62    (2)  all_56_10 = e1
% 197.80/34.62    (3)   ~ (e3 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.62  |   (4)  e3 = e1
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (4) implies:
% 197.80/34.62  |   (5)  e3 = e1
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1743 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  op(e1, e1) = e1
% 197.80/34.62    (2)   ~ (e3 = e2)
% 197.80/34.62    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (4)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.62    (5)  all_56_14 = e3
% 197.80/34.62    (6)   ~ (e2 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (4) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (7) implies:
% 197.80/34.62  | |   (8)  op(e1, e1) = e2
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1955.
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (9)  all_56_14 = e2 & op(e0, e1) = e2
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (2), (5), (9) are inconsistent by sub-proof #1820.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1744 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 197.80/34.62         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 197.80/34.62    (2)   ~ (e3 = e2)
% 197.80/34.62    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (4)  all_56_5 = e3
% 197.80/34.62    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.80/34.62         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.62    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.80/34.62         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.80/34.62    (7)  all_56_14 = e3
% 197.80/34.62    (8)   ~ (e1 = e0)
% 197.80/34.62    (9)  all_56_4 = e2
% 197.80/34.62    (10)   ~ (e2 = e1)
% 197.80/34.62    (11)   ~ (e3 = e1)
% 197.80/34.62    (12)   ~ (e2 = e0)
% 197.80/34.62    (13)   ~ (e3 = e0)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (1) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 197.80/34.62  | |           e0)
% 197.80/34.62  | | 
% 197.80/34.62  | | BETA: splitting (14) gives:
% 197.80/34.62  | | 
% 197.80/34.62  | | Case 1:
% 197.80/34.62  | | | 
% 197.80/34.62  | | |   (15)  all_56_4 = e0 & op(e3, e1) = e0
% 197.80/34.62  | | | 
% 197.80/34.62  | | | REF_CLOSE: (9), (12), (15) are inconsistent by sub-proof #1876.
% 197.80/34.62  | | | 
% 197.80/34.62  | | Case 2:
% 197.80/34.62  | | | 
% 197.80/34.62  | | |   (16)  all_56_5 = e0 & op(e2, e1) = e0
% 197.80/34.62  | | | 
% 197.80/34.62  | | | ALPHA: (16) implies:
% 197.80/34.62  | | |   (17)  all_56_5 = e0
% 197.80/34.62  | | | 
% 197.80/34.62  | | | REF_CLOSE: (4), (13), (17) are inconsistent by sub-proof #1838.
% 197.80/34.62  | | | 
% 197.80/34.62  | | End of split
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (18)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 197.80/34.62  | |           e0)
% 197.80/34.62  | | 
% 197.80/34.62  | | BETA: splitting (18) gives:
% 197.80/34.62  | | 
% 197.80/34.62  | | Case 1:
% 197.80/34.62  | | | 
% 197.80/34.62  | | |   (19)  all_56_8 = e0 & op(e1, e1) = e0
% 197.80/34.62  | | | 
% 197.80/34.62  | | | ALPHA: (19) implies:
% 197.80/34.62  | | |   (20)  op(e1, e1) = e0
% 197.80/34.62  | | | 
% 197.80/34.62  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (20) are
% 197.80/34.62  | | |            inconsistent by sub-proof #1746.
% 197.80/34.62  | | | 
% 197.80/34.62  | | Case 2:
% 197.80/34.62  | | | 
% 197.80/34.62  | | |   (21)  all_56_14 = e0 & op(e0, e1) = e0
% 197.80/34.62  | | | 
% 197.80/34.62  | | | REF_CLOSE: (7), (13), (21) are inconsistent by sub-proof #1745.
% 197.80/34.62  | | | 
% 197.80/34.62  | | End of split
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1745 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_56_14 = e0 & op(e0, e1) = e0
% 197.80/34.62    (2)  all_56_14 = e3
% 197.80/34.62    (3)   ~ (e3 = e0)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | ALPHA: (1) implies:
% 197.80/34.62  |   (4)  all_56_14 = e0
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.62  |   (5)  e3 = e0
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (5) implies:
% 197.80/34.62  |   (6)  e3 = e0
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (6) imply:
% 197.80/34.62  |   (7)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (7) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1746 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ~ (e3 = e2)
% 197.80/34.62    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (3)  all_56_5 = e3
% 197.80/34.62    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.80/34.62         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.62    (5)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.80/34.62         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.80/34.62    (6)  all_56_14 = e3
% 197.80/34.62    (7)  op(e1, e1) = e0
% 197.80/34.62    (8)   ~ (e1 = e0)
% 197.80/34.62    (9)   ~ (e2 = e1)
% 197.80/34.62    (10)   ~ (e3 = e1)
% 197.80/34.62    (11)   ~ (e2 = e0)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (5) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (12)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 197.80/34.62  | |           e1)
% 197.80/34.62  | | 
% 197.80/34.62  | | BETA: splitting (12) gives:
% 197.80/34.62  | | 
% 197.80/34.62  | | Case 1:
% 197.80/34.62  | | | 
% 197.80/34.62  | | |   (13)  all_56_4 = e1 & op(e3, e1) = e1
% 197.80/34.62  | | | 
% 197.80/34.62  | | | ALPHA: (13) implies:
% 197.80/34.62  | | |   (14)  all_56_4 = e1
% 197.80/34.62  | | | 
% 197.80/34.62  | | | BETA: splitting (4) gives:
% 197.80/34.62  | | | 
% 197.80/34.62  | | | Case 1:
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | |   (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1)
% 197.80/34.62  | | | |           = e2)
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | | REF_CLOSE: (1), (3), (9), (14), (15) are inconsistent by sub-proof
% 197.80/34.62  | | | |            #1750.
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | Case 2:
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | |   (16)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1)
% 197.80/34.62  | | | |           = e2)
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | | REF_CLOSE: (1), (2), (6), (7), (11), (16) are inconsistent by sub-proof
% 197.80/34.62  | | | |            #1819.
% 197.80/34.62  | | | | 
% 197.80/34.62  | | | End of split
% 197.80/34.62  | | | 
% 197.80/34.62  | | Case 2:
% 197.80/34.62  | | | 
% 197.80/34.62  | | |   (17)  all_56_5 = e1 & op(e2, e1) = e1
% 197.80/34.62  | | | 
% 197.80/34.62  | | | REF_CLOSE: (3), (10), (17) are inconsistent by sub-proof #1749.
% 197.80/34.62  | | | 
% 197.80/34.62  | | End of split
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (18)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 197.80/34.62  | |           e1)
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (2), (6), (7), (8), (10), (18) are inconsistent by sub-proof
% 197.80/34.62  | |            #1747.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1747 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (2)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.80/34.62    (3)  all_56_14 = e3
% 197.80/34.62    (4)  op(e1, e1) = e0
% 197.80/34.62    (5)   ~ (e1 = e0)
% 197.80/34.62    (6)   ~ (e3 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (2) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (7) implies:
% 197.80/34.62  | |   (8)  op(e1, e1) = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1959.
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (9)  all_56_14 = e1 & op(e0, e1) = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #1748.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1748 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_56_14 = e1 & op(e0, e1) = e1
% 197.80/34.62    (2)  all_56_14 = e3
% 197.80/34.62    (3)   ~ (e3 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | ALPHA: (1) implies:
% 197.80/34.62  |   (4)  all_56_14 = e1
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.62  |   (5)  e3 = e1
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1749 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_56_5 = e1 & op(e2, e1) = e1
% 197.80/34.62    (2)  all_56_5 = e3
% 197.80/34.62    (3)   ~ (e3 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | ALPHA: (1) implies:
% 197.80/34.62  |   (4)  all_56_5 = e1
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.62  |   (5)  e3 = e1
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1750 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ~ (e3 = e2)
% 197.80/34.62    (2)  all_56_5 = e3
% 197.80/34.62    (3)  all_56_4 = e1
% 197.80/34.62    (4)   ~ (e2 = e1)
% 197.80/34.62    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (5) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (6)  all_56_4 = e2 & op(e3, e1) = e2
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (6) implies:
% 197.80/34.62  | |   (7)  all_56_4 = e2
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #1751.
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (8)  all_56_5 = e2 & op(e2, e1) = e2
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #1816.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1751 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_56_4 = e2
% 197.80/34.62    (2)  all_56_4 = e1
% 197.80/34.62    (3)   ~ (e2 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.62  |   (4)  e2 = e1
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (4) implies:
% 197.80/34.62  |   (5)  e2 = e1
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1752 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (2)   ~ (all_52_9 = e1)
% 197.80/34.62    (3)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.80/34.62         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.80/34.62    (4)  all_56_14 = e3
% 197.80/34.62    (5)  op(e1, e1) = e0
% 197.80/34.62    (6)   ~ (e1 = e0)
% 197.80/34.62    (7)  all_56_4 = e2
% 197.80/34.62    (8)   ~ (e2 = e1)
% 197.80/34.62    (9)  op(e2, e1) = all_52_9
% 197.80/34.62    (10)   ~ (e3 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (3) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (11)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 197.80/34.62  | |           e1)
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (1), (2), (7), (8), (9), (11) are inconsistent by sub-proof
% 197.80/34.62  | |            #1754.
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (12)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 197.80/34.62  | |           e1)
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (1), (4), (5), (6), (10), (12) are inconsistent by sub-proof
% 197.80/34.62  | |            #1753.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1753 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (2)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.80/34.62    (3)  all_56_14 = e3
% 197.80/34.62    (4)  op(e1, e1) = e0
% 197.80/34.62    (5)   ~ (e1 = e0)
% 197.80/34.62    (6)   ~ (e3 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (2) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (7) implies:
% 197.80/34.62  | |   (8)  op(e1, e1) = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1959.
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (9)  all_56_14 = e1 & op(e0, e1) = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (9) implies:
% 197.80/34.62  | |   (10)  all_56_14 = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (3), (6), (10) are inconsistent by sub-proof #1812.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1754 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (2)   ~ (all_52_9 = e1)
% 197.80/34.62    (3)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 197.80/34.62    (4)  all_56_4 = e2
% 197.80/34.62    (5)   ~ (e2 = e1)
% 197.80/34.62    (6)  op(e2, e1) = all_52_9
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (3) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #1756.
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (8)  all_56_5 = e1 & op(e2, e1) = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (8) implies:
% 197.80/34.62  | |   (9)  op(e2, e1) = e1
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (1), (2), (6), (9) are inconsistent by sub-proof #1755.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1755 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (2)  op(e2, e1) = all_52_9
% 197.80/34.62    (3)  op(e2, e1) = e1
% 197.80/34.62    (4)   ~ (all_52_9 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | GROUND_INST: instantiating (1) with all_52_9, e1, e1, e2, simplifying with
% 197.80/34.62  |              (2), (3) gives:
% 197.80/34.62  |   (5)  all_52_9 = e1
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (4), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1756 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_56_4 = e1 & op(e3, e1) = e1
% 197.80/34.62    (2)  all_56_4 = e2
% 197.80/34.62    (3)   ~ (e2 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | ALPHA: (1) implies:
% 197.80/34.62  |   (4)  all_56_4 = e1
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.62  |   (5)  e2 = e1
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1757 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 197.80/34.62    (3)   ~ (all_52_9 = e3)
% 197.80/34.62    (4)   ~ (all_52_8 = e3)
% 197.80/34.62    (5)  op(e2, e1) = all_52_9
% 197.80/34.62    (6)  op(e3, e1) = all_52_8
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (2) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (7)  all_56_4 = e3 & op(e3, e1) = e3
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (7) implies:
% 197.80/34.62  | |   (8)  op(e3, e1) = e3
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1759.
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (9)  all_56_5 = e3 & op(e2, e1) = e3
% 197.80/34.62  | | 
% 197.80/34.62  | | ALPHA: (9) implies:
% 197.80/34.62  | |   (10)  op(e2, e1) = e3
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1758.
% 197.80/34.62  | | 
% 197.80/34.62  | End of split
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1758 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (2)  op(e2, e1) = all_52_9
% 197.80/34.62    (3)  op(e2, e1) = e3
% 197.80/34.62    (4)   ~ (all_52_9 = e3)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | GROUND_INST: instantiating (1) with all_52_9, e3, e1, e2, simplifying with
% 197.80/34.62  |              (2), (3) gives:
% 197.80/34.62  |   (5)  all_52_9 = e3
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (4), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1759 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (2)  op(e3, e1) = all_52_8
% 197.80/34.62    (3)  op(e3, e1) = e3
% 197.80/34.62    (4)   ~ (all_52_8 = e3)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | GROUND_INST: instantiating (1) with all_52_8, e3, e1, e3, simplifying with
% 197.80/34.62  |              (2), (3) gives:
% 197.80/34.62  |   (5)  all_52_8 = e3
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (4), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1760 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_54_2 = all_52_8
% 197.80/34.62    (2)  all_54_2 = e1
% 197.80/34.62    (3)   ~ (all_52_8 = e1)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.62  |   (4)  all_52_8 = e1
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (4) implies:
% 197.80/34.62  |   (5)  all_52_8 = e1
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1761 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_54_2 = all_52_8
% 197.80/34.62    (2)  all_54_2 = e2
% 197.80/34.62    (3)   ~ (all_52_8 = e2)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.62  |   (4)  all_52_8 = e2
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (4) implies:
% 197.80/34.62  |   (5)  all_52_8 = e2
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1762 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_54_2 = all_52_8
% 197.80/34.62    (2)  all_54_2 = e3
% 197.80/34.62    (3)   ~ (all_52_8 = e3)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.62  |   (4)  all_52_8 = e3
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (4) implies:
% 197.80/34.62  |   (5)  all_52_8 = e3
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1763 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  all_54_1 = all_52_4
% 197.80/34.62    (2)  all_54_1 = e3
% 197.80/34.62    (3)   ~ (all_52_4 = e3)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.62  |   (4)  all_52_4 = e3
% 197.80/34.62  | 
% 197.80/34.62  | SIMP: (4) implies:
% 197.80/34.62  |   (5)  all_52_4 = e3
% 197.80/34.62  | 
% 197.80/34.62  | REDUCE: (3), (5) imply:
% 197.80/34.62  |   (6)  $false
% 197.80/34.62  | 
% 197.80/34.62  | CLOSE: (6) is inconsistent.
% 197.80/34.62  | 
% 197.80/34.62  End of proof
% 197.80/34.62  
% 197.80/34.62  Sub-proof #1764 shows that the following formulas are inconsistent:
% 197.80/34.62  ----------------------------------------------------------------
% 197.80/34.62    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.80/34.62         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.80/34.62    (2)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.80/34.62         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.80/34.62    (3)   ~ (e3 = e2)
% 197.80/34.62    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.62    (5)  op(e3, e2) = all_52_4
% 197.80/34.62    (6)  op(e2, e2) = all_4_2
% 197.80/34.62    (7)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.80/34.62         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.80/34.62    (8)   ~ (all_4_2 = e3)
% 197.80/34.62    (9)   ~ (e1 = e0)
% 197.80/34.62    (10)   ~ (all_52_4 = e1)
% 197.80/34.62    (11)   ~ (e2 = e1)
% 197.80/34.62    (12)  op(e2, e2) = e2
% 197.80/34.62    (13)  all_56_7 = e2
% 197.80/34.62    (14)   ~ (e3 = e1)
% 197.80/34.62    (15)   ~ (e2 = e0)
% 197.80/34.62    (16)   ~ (e3 = e0)
% 197.80/34.62  
% 197.80/34.62  Begin of proof
% 197.80/34.62  | 
% 197.80/34.62  | BETA: splitting (1) gives:
% 197.80/34.62  | 
% 197.80/34.62  | Case 1:
% 197.80/34.62  | | 
% 197.80/34.62  | |   (17)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.80/34.62  | |           e1)
% 197.80/34.62  | | 
% 197.80/34.62  | | REF_CLOSE: (4), (5), (10), (11), (12), (17) are inconsistent by sub-proof
% 197.80/34.62  | |            #1766.
% 197.80/34.62  | | 
% 197.80/34.62  | Case 2:
% 197.80/34.62  | | 
% 197.80/34.63  | |   (18)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.80/34.63  | |           e1)
% 197.80/34.63  | | 
% 197.80/34.63  | | BETA: splitting (18) gives:
% 197.80/34.63  | | 
% 197.80/34.63  | | Case 1:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (19)  all_56_7 = e1 & op(e1, e2) = e1
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (11), (13), (19) are inconsistent by sub-proof #1765.
% 197.80/34.63  | | | 
% 197.80/34.63  | | Case 2:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (20)  all_56_13 = e1 & op(e0, e2) = e1
% 197.80/34.63  | | | 
% 197.80/34.63  | | | ALPHA: (20) implies:
% 197.80/34.63  | | |   (21)  all_56_13 = e1
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (12), (13), (14), (15),
% 197.80/34.63  | | |            (16), (21) are inconsistent by sub-proof #1863.
% 197.80/34.63  | | | 
% 197.80/34.63  | | End of split
% 197.80/34.63  | | 
% 197.80/34.63  | End of split
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1765 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)  all_56_7 = e1 & op(e1, e2) = e1
% 197.80/34.63    (2)  all_56_7 = e2
% 197.80/34.63    (3)   ~ (e2 = e1)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | ALPHA: (1) implies:
% 197.80/34.63  |   (4)  all_56_7 = e1
% 197.80/34.63  | 
% 197.80/34.63  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.63  |   (5)  e2 = e1
% 197.80/34.63  | 
% 197.80/34.63  | REDUCE: (3), (5) imply:
% 197.80/34.63  |   (6)  $false
% 197.80/34.63  | 
% 197.80/34.63  | CLOSE: (6) is inconsistent.
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1766 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (2)  op(e3, e2) = all_52_4
% 197.80/34.63    (3)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 197.80/34.63    (4)   ~ (all_52_4 = e1)
% 197.80/34.63    (5)   ~ (e2 = e1)
% 197.80/34.63    (6)  op(e2, e2) = e2
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | BETA: splitting (3) gives:
% 197.80/34.63  | 
% 197.80/34.63  | Case 1:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (7)  all_56_1 = e1 & op(e3, e2) = e1
% 197.80/34.63  | | 
% 197.80/34.63  | | ALPHA: (7) implies:
% 197.80/34.63  | |   (8)  op(e3, e2) = e1
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1910.
% 197.80/34.63  | | 
% 197.80/34.63  | Case 2:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 197.80/34.63  | | 
% 197.80/34.63  | | ALPHA: (9) implies:
% 197.80/34.63  | |   (10)  op(e2, e2) = e1
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (1), (5), (6), (10) are inconsistent by sub-proof #1783.
% 197.80/34.63  | | 
% 197.80/34.63  | End of split
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1767 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)  op(e1, e3) = all_52_2
% 197.80/34.63    (2)   ~ (all_52_2 = e0)
% 197.80/34.63    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (4)  op(e0, e3) = all_52_3
% 197.80/34.63    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.80/34.63    (6)   ~ (all_52_3 = e0)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | BETA: splitting (5) gives:
% 197.80/34.63  | 
% 197.80/34.63  | Case 1:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (7)  all_56_6 = e0 & op(e1, e3) = e0
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1768.
% 197.80/34.63  | | 
% 197.80/34.63  | Case 2:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (8)  all_56_12 = e0 & op(e0, e3) = e0
% 197.80/34.63  | | 
% 197.80/34.63  | | ALPHA: (8) implies:
% 197.80/34.63  | |   (9)  op(e0, e3) = e0
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (3), (4), (6), (9) are inconsistent by sub-proof #1935.
% 197.80/34.63  | | 
% 197.80/34.63  | End of split
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1768 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)  all_56_6 = e0 & op(e1, e3) = e0
% 197.80/34.63    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (3)  op(e1, e3) = all_52_2
% 197.80/34.63    (4)   ~ (all_52_2 = e0)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | ALPHA: (1) implies:
% 197.80/34.63  |   (5)  op(e1, e3) = e0
% 197.80/34.63  | 
% 197.80/34.63  | GROUND_INST: instantiating (2) with all_52_2, e0, e3, e1, simplifying with
% 197.80/34.63  |              (3), (5) gives:
% 197.80/34.63  |   (6)  all_52_2 = e0
% 197.80/34.63  | 
% 197.80/34.63  | REDUCE: (4), (6) imply:
% 197.80/34.63  |   (7)  $false
% 197.80/34.63  | 
% 197.80/34.63  | CLOSE: (7) is inconsistent.
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1769 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)   ~ (e3 = e2)
% 197.80/34.63    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 197.80/34.63         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.80/34.63    (4)  op(e1, e0) = all_52_14
% 197.80/34.63    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 197.80/34.63         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.80/34.63    (6)  all_56_7 = e3
% 197.80/34.63    (7)   ~ (all_52_14 = e1)
% 197.80/34.63    (8)   ~ (e1 = e0)
% 197.80/34.63    (9)   ~ (e2 = e1)
% 197.80/34.63    (10)   ~ (e3 = e1)
% 197.80/34.63    (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.80/34.63          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.80/34.63    (12)  op(e1, e1) = e3
% 197.80/34.63    (13)   ~ (e2 = e0)
% 197.80/34.63    (14)   ~ (e3 = e0)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | BETA: splitting (5) gives:
% 197.80/34.63  | 
% 197.80/34.63  | Case 1:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (15)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 197.80/34.63  | |           e1)
% 197.80/34.63  | | 
% 197.80/34.63  | | BETA: splitting (15) gives:
% 197.80/34.63  | | 
% 197.80/34.63  | | Case 1:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (16)  all_56_6 = e1 & op(e1, e3) = e1
% 197.80/34.63  | | | 
% 197.80/34.63  | | | ALPHA: (16) implies:
% 197.80/34.63  | | |   (17)  all_56_6 = e1
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (1), (2), (3), (6), (8), (9), (11), (12), (13), (14), (17) are
% 197.80/34.63  | | |            inconsistent by sub-proof #1772.
% 197.80/34.63  | | | 
% 197.80/34.63  | | Case 2:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (18)  all_56_7 = e1 & op(e1, e2) = e1
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (6), (10), (18) are inconsistent by sub-proof #1771.
% 197.80/34.63  | | | 
% 197.80/34.63  | | End of split
% 197.80/34.63  | | 
% 197.80/34.63  | Case 2:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (19)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 197.80/34.63  | |           e1)
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (2), (4), (7), (10), (12), (19) are inconsistent by sub-proof
% 197.80/34.63  | |            #1770.
% 197.80/34.63  | | 
% 197.80/34.63  | End of split
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1770 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (2)  op(e1, e0) = all_52_14
% 197.80/34.63    (3)   ~ (all_52_14 = e1)
% 197.80/34.63    (4)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 197.80/34.63    (5)   ~ (e3 = e1)
% 197.80/34.63    (6)  op(e1, e1) = e3
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | BETA: splitting (4) gives:
% 197.80/34.63  | 
% 197.80/34.63  | Case 1:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 197.80/34.63  | | 
% 197.80/34.63  | | ALPHA: (7) implies:
% 197.80/34.63  | |   (8)  op(e1, e1) = e1
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1978.
% 197.80/34.63  | | 
% 197.80/34.63  | Case 2:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (9)  all_56_11 = e1 & op(e1, e0) = e1
% 197.80/34.63  | | 
% 197.80/34.63  | | ALPHA: (9) implies:
% 197.80/34.63  | |   (10)  op(e1, e0) = e1
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1958.
% 197.80/34.63  | | 
% 197.80/34.63  | End of split
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1771 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)  all_56_7 = e1 & op(e1, e2) = e1
% 197.80/34.63    (2)  all_56_7 = e3
% 197.80/34.63    (3)   ~ (e3 = e1)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | ALPHA: (1) implies:
% 197.80/34.63  |   (4)  all_56_7 = e1
% 197.80/34.63  | 
% 197.80/34.63  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.63  |   (5)  e3 = e1
% 197.80/34.63  | 
% 197.80/34.63  | REDUCE: (3), (5) imply:
% 197.80/34.63  |   (6)  $false
% 197.80/34.63  | 
% 197.80/34.63  | CLOSE: (6) is inconsistent.
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1772 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)   ~ (e3 = e2)
% 197.80/34.63    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 197.80/34.63         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.80/34.63    (4)  all_56_7 = e3
% 197.80/34.63    (5)   ~ (e1 = e0)
% 197.80/34.63    (6)  all_56_6 = e1
% 197.80/34.63    (7)   ~ (e2 = e1)
% 197.80/34.63    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 197.80/34.63         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 197.80/34.63    (9)  op(e1, e1) = e3
% 197.80/34.63    (10)   ~ (e2 = e0)
% 197.80/34.63    (11)   ~ (e3 = e0)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | BETA: splitting (8) gives:
% 197.80/34.63  | 
% 197.80/34.63  | Case 1:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (12)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 197.80/34.63  | |           e2)
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (1), (4), (6), (7), (12) are inconsistent by sub-proof #1778.
% 197.80/34.63  | | 
% 197.80/34.63  | Case 2:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (13)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 197.80/34.63  | |           e2)
% 197.80/34.63  | | 
% 197.80/34.63  | | BETA: splitting (13) gives:
% 197.80/34.63  | | 
% 197.80/34.63  | | Case 1:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (14)  all_56_8 = e2 & op(e1, e1) = e2
% 197.80/34.63  | | | 
% 197.80/34.63  | | | ALPHA: (14) implies:
% 197.80/34.63  | | |   (15)  op(e1, e1) = e2
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (1), (2), (9), (15) are inconsistent by sub-proof #1777.
% 197.80/34.63  | | | 
% 197.80/34.63  | | Case 2:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (16)  all_56_11 = e2 & op(e1, e0) = e2
% 197.80/34.63  | | | 
% 197.80/34.63  | | | ALPHA: (16) implies:
% 197.80/34.63  | | |   (17)  all_56_11 = e2
% 197.80/34.63  | | | 
% 197.80/34.63  | | | BETA: splitting (3) gives:
% 197.80/34.63  | | | 
% 197.80/34.63  | | | Case 1:
% 197.80/34.63  | | | | 
% 197.80/34.63  | | | |   (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2)
% 197.80/34.63  | | | |           = e0)
% 197.80/34.63  | | | | 
% 197.80/34.63  | | | | BETA: splitting (18) gives:
% 197.80/34.63  | | | | 
% 197.80/34.63  | | | | Case 1:
% 197.80/34.63  | | | | | 
% 197.80/34.63  | | | | |   (19)  all_56_6 = e0 & op(e1, e3) = e0
% 197.80/34.63  | | | | | 
% 197.80/34.63  | | | | | REF_CLOSE: (5), (6), (19) are inconsistent by sub-proof #1776.
% 197.80/34.63  | | | | | 
% 197.80/34.63  | | | | Case 2:
% 197.80/34.63  | | | | | 
% 197.80/34.63  | | | | |   (20)  all_56_7 = e0 & op(e1, e2) = e0
% 197.80/34.63  | | | | | 
% 197.80/34.63  | | | | | REF_CLOSE: (4), (11), (20) are inconsistent by sub-proof #1775.
% 197.80/34.63  | | | | | 
% 197.80/34.63  | | | | End of split
% 197.80/34.63  | | | | 
% 197.80/34.63  | | | Case 2:
% 197.80/34.63  | | | | 
% 197.80/34.63  | | | |   (21)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0)
% 197.80/34.63  | | | |           = e0)
% 197.80/34.63  | | | | 
% 197.80/34.63  | | | | REF_CLOSE: (2), (9), (10), (11), (17), (21) are inconsistent by
% 197.80/34.63  | | | |            sub-proof #1773.
% 197.80/34.63  | | | | 
% 197.80/34.63  | | | End of split
% 197.80/34.63  | | | 
% 197.80/34.63  | | End of split
% 197.80/34.63  | | 
% 197.80/34.63  | End of split
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1773 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (2)  all_56_11 = e2
% 197.80/34.63    (3)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 197.80/34.63    (4)  op(e1, e1) = e3
% 197.80/34.63    (5)   ~ (e2 = e0)
% 197.80/34.63    (6)   ~ (e3 = e0)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | BETA: splitting (3) gives:
% 197.80/34.63  | 
% 197.80/34.63  | Case 1:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 197.80/34.63  | | 
% 197.80/34.63  | | ALPHA: (7) implies:
% 197.80/34.63  | |   (8)  op(e1, e1) = e0
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1824.
% 197.80/34.63  | | 
% 197.80/34.63  | Case 2:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (2), (5), (9) are inconsistent by sub-proof #1774.
% 197.80/34.63  | | 
% 197.80/34.63  | End of split
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1774 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)  all_56_11 = e0 & op(e1, e0) = e0
% 197.80/34.63    (2)  all_56_11 = e2
% 197.80/34.63    (3)   ~ (e2 = e0)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | ALPHA: (1) implies:
% 197.80/34.63  |   (4)  all_56_11 = e0
% 197.80/34.63  | 
% 197.80/34.63  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.63  |   (5)  e2 = e0
% 197.80/34.63  | 
% 197.80/34.63  | REDUCE: (3), (5) imply:
% 197.80/34.63  |   (6)  $false
% 197.80/34.63  | 
% 197.80/34.63  | CLOSE: (6) is inconsistent.
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1775 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)  all_56_7 = e0 & op(e1, e2) = e0
% 197.80/34.63    (2)  all_56_7 = e3
% 197.80/34.63    (3)   ~ (e3 = e0)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | ALPHA: (1) implies:
% 197.80/34.63  |   (4)  all_56_7 = e0
% 197.80/34.63  | 
% 197.80/34.63  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.63  |   (5)  e3 = e0
% 197.80/34.63  | 
% 197.80/34.63  | REDUCE: (3), (5) imply:
% 197.80/34.63  |   (6)  $false
% 197.80/34.63  | 
% 197.80/34.63  | CLOSE: (6) is inconsistent.
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1776 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)  all_56_6 = e0 & op(e1, e3) = e0
% 197.80/34.63    (2)  all_56_6 = e1
% 197.80/34.63    (3)   ~ (e1 = e0)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | ALPHA: (1) implies:
% 197.80/34.63  |   (4)  all_56_6 = e0
% 197.80/34.63  | 
% 197.80/34.63  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.63  |   (5)  e1 = e0
% 197.80/34.63  | 
% 197.80/34.63  | REDUCE: (3), (5) imply:
% 197.80/34.63  |   (6)  $false
% 197.80/34.63  | 
% 197.80/34.63  | CLOSE: (6) is inconsistent.
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1777 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (2)  op(e1, e1) = e3
% 197.80/34.63    (3)  op(e1, e1) = e2
% 197.80/34.63    (4)   ~ (e3 = e2)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | GROUND_INST: instantiating (1) with e2, e3, e1, e1, simplifying with (2), (3)
% 197.80/34.63  |              gives:
% 197.80/34.63  |   (5)  e3 = e2
% 197.80/34.63  | 
% 197.80/34.63  | REDUCE: (4), (5) imply:
% 197.80/34.63  |   (6)  $false
% 197.80/34.63  | 
% 197.80/34.63  | CLOSE: (6) is inconsistent.
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1778 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)   ~ (e3 = e2)
% 197.80/34.63    (2)  all_56_7 = e3
% 197.80/34.63    (3)  all_56_6 = e1
% 197.80/34.63    (4)   ~ (e2 = e1)
% 197.80/34.63    (5)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | BETA: splitting (5) gives:
% 197.80/34.63  | 
% 197.80/34.63  | Case 1:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (6)  all_56_6 = e2 & op(e1, e3) = e2
% 197.80/34.63  | | 
% 197.80/34.63  | | ALPHA: (6) implies:
% 197.80/34.63  | |   (7)  all_56_6 = e2
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #1779.
% 197.80/34.63  | | 
% 197.80/34.63  | Case 2:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (8)  all_56_7 = e2 & op(e1, e2) = e2
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #1925.
% 197.80/34.63  | | 
% 197.80/34.63  | End of split
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1779 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)  all_56_6 = e2
% 197.80/34.63    (2)  all_56_6 = e1
% 197.80/34.63    (3)   ~ (e2 = e1)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.63  |   (4)  e2 = e1
% 197.80/34.63  | 
% 197.80/34.63  | SIMP: (4) implies:
% 197.80/34.63  |   (5)  e2 = e1
% 197.80/34.63  | 
% 197.80/34.63  | REDUCE: (3), (5) imply:
% 197.80/34.63  |   (6)  $false
% 197.80/34.63  | 
% 197.80/34.63  | CLOSE: (6) is inconsistent.
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1780 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (2)  op(e0, e0) = e2
% 197.80/34.63    (3)  op(e0, e0) = e1
% 197.80/34.63    (4)   ~ (e2 = e1)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | GROUND_INST: instantiating (1) with e1, e2, e0, e0, simplifying with (2), (3)
% 197.80/34.63  |              gives:
% 197.80/34.63  |   (5)  e2 = e1
% 197.80/34.63  | 
% 197.80/34.63  | REDUCE: (4), (5) imply:
% 197.80/34.63  |   (6)  $false
% 197.80/34.63  | 
% 197.80/34.63  | CLOSE: (6) is inconsistent.
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1781 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)   ~ (all_52_4 = e3)
% 197.80/34.63    (2)  op(e1, e3) = all_52_2
% 197.80/34.63    (3)  op(e1, e2) = all_52_6
% 197.80/34.63    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (5)  op(e3, e2) = all_52_4
% 197.80/34.63    (6)  op(e2, e2) = all_4_2
% 197.80/34.63    (7)   ~ (all_4_2 = e3)
% 197.80/34.63    (8)   ~ (all_52_1 = e2)
% 197.80/34.63    (9)   ~ (e2 = e1)
% 197.80/34.63    (10)   ~ (all_52_2 = e1)
% 197.80/34.63    (11)  op(e2, e2) = e2
% 197.80/34.63    (12)   ~ (all_52_6 = e1)
% 197.80/34.63    (13)  op(e2, e3) = all_52_1
% 197.80/34.63    (14)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.80/34.63              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.80/34.63            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.80/34.63            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.80/34.63            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.80/34.63            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.80/34.63            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.80/34.63            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.80/34.63            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.80/34.63            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.80/34.63            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.80/34.63            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.80/34.63            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.80/34.63            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.80/34.63            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.80/34.63            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.80/34.63            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.80/34.63            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.80/34.63            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.80/34.63            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.80/34.63            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.80/34.63            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.80/34.63            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.80/34.63            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.80/34.63            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.80/34.63            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.80/34.63            $i(all_57_10))
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | BETA: splitting (14) gives:
% 197.80/34.63  | 
% 197.80/34.63  | Case 1:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (15)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 197.80/34.63  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.80/34.63  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 197.80/34.63  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 197.80/34.63  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.80/34.63  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 197.80/34.63  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 197.80/34.63  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 197.80/34.63  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.80/34.63  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 197.80/34.63  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.80/34.63  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.80/34.63  | | 
% 197.80/34.63  | | BETA: splitting (15) gives:
% 197.80/34.63  | | 
% 197.80/34.63  | | Case 1:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (16)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.80/34.63  | | |           (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.80/34.63  | | |           op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.80/34.63  | | |           $i(all_57_12)) | (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2
% 197.80/34.63  | | |             = e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.80/34.63  | | |           all_57_12 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.80/34.63  | | |           $i(all_57_2) & $i(all_57_12))
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (4), (8), (13), (16) are inconsistent by sub-proof #1784.
% 197.80/34.63  | | | 
% 197.80/34.63  | | Case 2:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (17)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.80/34.63  | | |           (all_57_14 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.80/34.63  | | |           op(e1, e3) = e1 & op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.80/34.63  | | |           $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2
% 197.80/34.63  | | |             = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 & op(e1, e1) =
% 197.80/34.63  | | |           all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.80/34.63  | | |           $i(all_57_2) & $i(all_57_14))
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (2), (4), (6), (7), (10), (17) are inconsistent by sub-proof
% 197.80/34.63  | | |            #1973.
% 197.80/34.63  | | | 
% 197.80/34.63  | | End of split
% 197.80/34.63  | | 
% 197.80/34.63  | Case 2:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (18)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 197.80/34.63  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.80/34.63  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.80/34.63  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 197.80/34.63  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.80/34.63  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 197.80/34.63  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 197.80/34.63  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 197.80/34.63  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.80/34.63  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.80/34.63  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.80/34.63  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.80/34.63  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.80/34.63  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.80/34.63  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.80/34.63  | | 
% 197.80/34.63  | | BETA: splitting (18) gives:
% 197.80/34.63  | | 
% 197.80/34.63  | | Case 1:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (19)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.80/34.63  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.80/34.63  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.80/34.63  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 197.80/34.63  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.80/34.63  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.80/34.63  | | |           $i(all_57_5) & $i(all_57_10))
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (1), (4), (5), (19) are inconsistent by sub-proof #1971.
% 197.80/34.63  | | | 
% 197.80/34.63  | | Case 2:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (20)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.80/34.63  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.80/34.63  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.80/34.63  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 197.80/34.63  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 197.80/34.63  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.80/34.63  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 197.80/34.63  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.80/34.63  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.80/34.63  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (3), (4), (9), (11), (12), (20) are inconsistent by sub-proof
% 197.80/34.63  | | |            #1782.
% 197.80/34.63  | | | 
% 197.80/34.63  | | End of split
% 197.80/34.63  | | 
% 197.80/34.63  | End of split
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1782 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)  op(e1, e2) = all_52_6
% 197.80/34.63    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (3)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.80/34.63             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.80/34.63           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 197.80/34.63           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 197.80/34.63             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.80/34.63             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 197.80/34.63           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.80/34.63           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.80/34.63           $i(all_57_7) & $i(all_57_10))
% 197.80/34.63    (4)   ~ (e2 = e1)
% 197.80/34.63    (5)  op(e2, e2) = e2
% 197.80/34.63    (6)   ~ (all_52_6 = e1)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | BETA: splitting (3) gives:
% 197.80/34.63  | 
% 197.80/34.63  | Case 1:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (7)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.80/34.63  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.80/34.63  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 197.80/34.63  | | 
% 197.80/34.63  | | ALPHA: (7) implies:
% 197.80/34.63  | |   (8)  op(e1, e2) = e1
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1970.
% 197.80/34.63  | | 
% 197.80/34.63  | Case 2:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (9)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.80/34.63  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.80/34.63  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.80/34.63  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.80/34.63  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.80/34.63  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.80/34.63  | | 
% 197.80/34.63  | | BETA: splitting (9) gives:
% 197.80/34.63  | | 
% 197.80/34.63  | | Case 1:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (10)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.80/34.63  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.80/34.63  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.80/34.63  | | |         $i(all_57_14)
% 197.80/34.63  | | | 
% 197.80/34.63  | | | ALPHA: (10) implies:
% 197.80/34.63  | | |   (11)  op(e1, e2) = e1
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (1), (2), (6), (11) are inconsistent by sub-proof #1970.
% 197.80/34.63  | | | 
% 197.80/34.63  | | Case 2:
% 197.80/34.63  | | | 
% 197.80/34.63  | | |   (12)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.80/34.63  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.80/34.63  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.80/34.63  | | |         $i(all_57_10)
% 197.80/34.63  | | | 
% 197.80/34.63  | | | ALPHA: (12) implies:
% 197.80/34.63  | | |   (13)  op(e2, e2) = e1
% 197.80/34.63  | | | 
% 197.80/34.63  | | | REF_CLOSE: (2), (4), (5), (13) are inconsistent by sub-proof #1783.
% 197.80/34.63  | | | 
% 197.80/34.63  | | End of split
% 197.80/34.63  | | 
% 197.80/34.63  | End of split
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1783 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (2)  op(e2, e2) = e2
% 197.80/34.63    (3)  op(e2, e2) = e1
% 197.80/34.63    (4)   ~ (e2 = e1)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | GROUND_INST: instantiating (1) with e1, e2, e2, e2, simplifying with (2), (3)
% 197.80/34.63  |              gives:
% 197.80/34.63  |   (5)  e2 = e1
% 197.80/34.63  | 
% 197.80/34.63  | REDUCE: (4), (5) imply:
% 197.80/34.63  |   (6)  $false
% 197.80/34.63  | 
% 197.80/34.63  | CLOSE: (6) is inconsistent.
% 197.80/34.63  | 
% 197.80/34.63  End of proof
% 197.80/34.63  
% 197.80/34.63  Sub-proof #1784 shows that the following formulas are inconsistent:
% 197.80/34.63  ----------------------------------------------------------------
% 197.80/34.63    (1)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.80/34.63             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.80/34.63           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.80/34.63           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.80/34.63           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.80/34.63           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.80/34.63    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.63    (3)  op(e2, e3) = all_52_1
% 197.80/34.63    (4)   ~ (all_52_1 = e2)
% 197.80/34.63  
% 197.80/34.63  Begin of proof
% 197.80/34.63  | 
% 197.80/34.63  | BETA: splitting (1) gives:
% 197.80/34.63  | 
% 197.80/34.63  | Case 1:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (5)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.80/34.63  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.80/34.63  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 197.80/34.63  | | 
% 197.80/34.63  | | ALPHA: (5) implies:
% 197.80/34.63  | |   (6)  op(e2, e3) = e2
% 197.80/34.63  | | 
% 197.80/34.63  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #1785.
% 197.80/34.63  | | 
% 197.80/34.63  | Case 2:
% 197.80/34.63  | | 
% 197.80/34.63  | |   (7)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 197.80/34.63  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.80/34.64  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 197.80/34.64  | | 
% 197.80/34.64  | | ALPHA: (7) implies:
% 197.80/34.64  | |   (8)  op(e2, e3) = e2
% 197.80/34.64  | | 
% 197.80/34.64  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1785.
% 197.80/34.64  | | 
% 197.80/34.64  | End of split
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1785 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.64    (2)  op(e2, e3) = all_52_1
% 197.80/34.64    (3)  op(e2, e3) = e2
% 197.80/34.64    (4)   ~ (all_52_1 = e2)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | GROUND_INST: instantiating (1) with all_52_1, e2, e3, e2, simplifying with
% 197.80/34.64  |              (2), (3) gives:
% 197.80/34.64  |   (5)  all_52_1 = e2
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (4), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1786 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.80/34.64         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.80/34.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.64    (3)  all_56_7 = e3
% 197.80/34.64    (4)   ~ (e1 = e0)
% 197.80/34.64    (5)  op(e2, e2) = e2
% 197.80/34.64    (6)   ~ (e2 = e0)
% 197.80/34.64    (7)   ~ (e3 = e0)
% 197.80/34.64    (8)  all_56_1 = e2
% 197.80/34.64    (9)  all_56_13 = e1
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | BETA: splitting (1) gives:
% 197.80/34.64  | 
% 197.80/34.64  | Case 1:
% 197.80/34.64  | | 
% 197.80/34.64  | |   (10)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 197.80/34.64  | |           e0)
% 197.80/34.64  | | 
% 197.80/34.64  | | REF_CLOSE: (2), (5), (6), (8), (10) are inconsistent by sub-proof #1788.
% 197.80/34.64  | | 
% 197.80/34.64  | Case 2:
% 197.80/34.64  | | 
% 197.80/34.64  | |   (11)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.80/34.64  | |           e0)
% 197.80/34.64  | | 
% 197.80/34.64  | | BETA: splitting (11) gives:
% 197.80/34.64  | | 
% 197.80/34.64  | | Case 1:
% 197.80/34.64  | | | 
% 197.80/34.64  | | |   (12)  all_56_7 = e0 & op(e1, e2) = e0
% 197.80/34.64  | | | 
% 197.80/34.64  | | | ALPHA: (12) implies:
% 197.80/34.64  | | |   (13)  all_56_7 = e0
% 197.80/34.64  | | | 
% 197.80/34.64  | | | REF_CLOSE: (3), (7), (13) are inconsistent by sub-proof #1797.
% 197.80/34.64  | | | 
% 197.80/34.64  | | Case 2:
% 197.80/34.64  | | | 
% 197.80/34.64  | | |   (14)  all_56_13 = e0 & op(e0, e2) = e0
% 197.80/34.64  | | | 
% 197.80/34.64  | | | ALPHA: (14) implies:
% 197.80/34.64  | | |   (15)  all_56_13 = e0
% 197.80/34.64  | | | 
% 197.80/34.64  | | | REF_CLOSE: (4), (9), (15) are inconsistent by sub-proof #1787.
% 197.80/34.64  | | | 
% 197.80/34.64  | | End of split
% 197.80/34.64  | | 
% 197.80/34.64  | End of split
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1787 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  all_56_13 = e1
% 197.80/34.64    (2)  all_56_13 = e0
% 197.80/34.64    (3)   ~ (e1 = e0)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.64  |   (4)  e1 = e0
% 197.80/34.64  | 
% 197.80/34.64  | SIMP: (4) implies:
% 197.80/34.64  |   (5)  e1 = e0
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (3), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1788 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 197.80/34.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.64    (3)  op(e2, e2) = e2
% 197.80/34.64    (4)   ~ (e2 = e0)
% 197.80/34.64    (5)  all_56_1 = e2
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | BETA: splitting (1) gives:
% 197.80/34.64  | 
% 197.80/34.64  | Case 1:
% 197.80/34.64  | | 
% 197.80/34.64  | |   (6)  all_56_1 = e0 & op(e3, e2) = e0
% 197.80/34.64  | | 
% 197.80/34.64  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #1789.
% 197.80/34.64  | | 
% 197.80/34.64  | Case 2:
% 197.80/34.64  | | 
% 197.80/34.64  | |   (7)  all_56_3 = e0 & op(e2, e2) = e0
% 197.80/34.64  | | 
% 197.80/34.64  | | ALPHA: (7) implies:
% 197.80/34.64  | |   (8)  op(e2, e2) = e0
% 197.80/34.64  | | 
% 197.80/34.64  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1939.
% 197.80/34.64  | | 
% 197.80/34.64  | End of split
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1789 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  all_56_1 = e0 & op(e3, e2) = e0
% 197.80/34.64    (2)  all_56_1 = e2
% 197.80/34.64    (3)   ~ (e2 = e0)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | ALPHA: (1) implies:
% 197.80/34.64  |   (4)  all_56_1 = e0
% 197.80/34.64  | 
% 197.80/34.64  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.64  |   (5)  e2 = e0
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (3), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1790 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)   ~ (all_52_4 = e3)
% 197.80/34.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.64    (3)  op(e3, e2) = all_52_4
% 197.80/34.64    (4)  op(e2, e2) = all_4_2
% 197.80/34.64    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 197.80/34.64    (6)   ~ (all_4_2 = e3)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | BETA: splitting (5) gives:
% 197.80/34.64  | 
% 197.80/34.64  | Case 1:
% 197.80/34.64  | | 
% 197.80/34.64  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 197.80/34.64  | | 
% 197.80/34.64  | | ALPHA: (7) implies:
% 197.80/34.64  | |   (8)  op(e3, e2) = e3
% 197.80/34.64  | | 
% 197.80/34.64  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1972.
% 197.80/34.64  | | 
% 197.80/34.64  | Case 2:
% 197.80/34.64  | | 
% 197.80/34.64  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 197.80/34.64  | | 
% 197.80/34.64  | | ALPHA: (9) implies:
% 197.80/34.64  | |   (10)  op(e2, e2) = e3
% 197.80/34.64  | | 
% 197.80/34.64  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1975.
% 197.80/34.64  | | 
% 197.80/34.64  | End of split
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1791 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  all_54_11 = all_50_0
% 197.80/34.64    (2)  all_54_11 = e1
% 197.80/34.64    (3)   ~ (all_50_0 = e1)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.64  |   (4)  all_50_0 = e1
% 197.80/34.64  | 
% 197.80/34.64  | SIMP: (4) implies:
% 197.80/34.64  |   (5)  all_50_0 = e1
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (3), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1792 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  all_56_10 = e0 & op(e2, e0) = e0
% 197.80/34.64    (2)  all_56_10 = e1
% 197.80/34.64    (3)   ~ (e1 = e0)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | ALPHA: (1) implies:
% 197.80/34.64  |   (4)  all_56_10 = e0
% 197.80/34.64  | 
% 197.80/34.64  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.64  |   (5)  e1 = e0
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (3), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1793 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.64    (2)  op(e3, e0) = e3
% 197.80/34.64    (3)  op(e3, e0) = e0
% 197.80/34.64    (4)   ~ (e3 = e0)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | GROUND_INST: instantiating (1) with e0, e3, e0, e3, simplifying with (2), (3)
% 197.80/34.64  |              gives:
% 197.80/34.64  |   (5)  e3 = e0
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (4), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1794 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  all_54_11 = all_50_0
% 197.80/34.64    (2)  all_54_11 = e2
% 197.80/34.64    (3)   ~ (all_50_0 = e2)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.64  |   (4)  all_50_0 = e2
% 197.80/34.64  | 
% 197.80/34.64  | SIMP: (4) implies:
% 197.80/34.64  |   (5)  all_50_0 = e2
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (3), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1795 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  all_54_11 = all_50_0
% 197.80/34.64    (2)  all_54_11 = e3
% 197.80/34.64    (3)   ~ (all_50_0 = e3)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.64  |   (4)  all_50_0 = e3
% 197.80/34.64  | 
% 197.80/34.64  | SIMP: (4) implies:
% 197.80/34.64  |   (5)  all_50_0 = e3
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (3), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1796 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.80/34.64         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.80/34.64    (2)   ~ (e3 = e2)
% 197.80/34.64    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.64    (4)  op(e2, e2) = all_4_2
% 197.80/34.64    (5)  all_56_7 = e0
% 197.80/34.64    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.80/34.64         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.80/34.64    (7)   ~ (all_4_2 = e3)
% 197.80/34.64    (8)   ~ (e2 = e1)
% 197.80/34.64    (9)  op(e2, e2) = e0
% 197.80/34.64    (10)   ~ (e3 = e1)
% 197.80/34.64    (11)   ~ (e2 = e0)
% 197.80/34.64    (12)   ~ (e3 = e0)
% 197.80/34.64    (13)  all_56_13 = e1
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | BETA: splitting (6) gives:
% 197.80/34.64  | 
% 197.80/34.64  | Case 1:
% 197.80/34.64  | | 
% 197.80/34.64  | |   (14)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.80/34.64  | |           e3)
% 197.80/34.64  | | 
% 197.80/34.64  | | BETA: splitting (14) gives:
% 197.80/34.64  | | 
% 197.80/34.64  | | Case 1:
% 197.80/34.64  | | | 
% 197.80/34.64  | | |   (15)  all_56_1 = e3 & op(e3, e2) = e3
% 197.80/34.64  | | | 
% 197.80/34.64  | | | ALPHA: (15) implies:
% 197.80/34.64  | | |   (16)  op(e3, e2) = e3
% 197.80/34.64  | | | 
% 197.80/34.64  | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (11), (13), (16) are inconsistent
% 197.80/34.64  | | |            by sub-proof #1798.
% 197.80/34.64  | | | 
% 197.80/34.64  | | Case 2:
% 197.80/34.64  | | | 
% 197.80/34.64  | | |   (17)  all_56_3 = e3 & op(e2, e2) = e3
% 197.80/34.64  | | | 
% 197.80/34.64  | | | ALPHA: (17) implies:
% 197.80/34.64  | | |   (18)  op(e2, e2) = e3
% 197.80/34.64  | | | 
% 197.80/34.64  | | | REF_CLOSE: (3), (4), (7), (18) are inconsistent by sub-proof #1975.
% 197.80/34.64  | | | 
% 197.80/34.64  | | End of split
% 197.80/34.64  | | 
% 197.80/34.64  | Case 2:
% 197.80/34.64  | | 
% 197.80/34.64  | |   (19)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 197.80/34.64  | |           e3)
% 197.80/34.64  | | 
% 197.80/34.64  | | BETA: splitting (19) gives:
% 197.80/34.64  | | 
% 197.80/34.64  | | Case 1:
% 197.80/34.64  | | | 
% 197.80/34.64  | | |   (20)  all_56_7 = e3 & op(e1, e2) = e3
% 197.80/34.64  | | | 
% 197.80/34.64  | | | ALPHA: (20) implies:
% 197.80/34.64  | | |   (21)  all_56_7 = e3
% 197.80/34.64  | | | 
% 197.80/34.64  | | | REF_CLOSE: (5), (12), (21) are inconsistent by sub-proof #1797.
% 197.80/34.64  | | | 
% 197.80/34.64  | | Case 2:
% 197.80/34.64  | | | 
% 197.80/34.64  | | |   (22)  all_56_13 = e3 & op(e0, e2) = e3
% 197.80/34.64  | | | 
% 197.80/34.64  | | | ALPHA: (22) implies:
% 197.80/34.64  | | |   (23)  all_56_13 = e3
% 197.80/34.64  | | | 
% 197.80/34.64  | | | REF_CLOSE: (10), (13), (23) are inconsistent by sub-proof #1864.
% 197.80/34.64  | | | 
% 197.80/34.64  | | End of split
% 197.80/34.64  | | 
% 197.80/34.64  | End of split
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1797 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  all_56_7 = e3
% 197.80/34.64    (2)  all_56_7 = e0
% 197.80/34.64    (3)   ~ (e3 = e0)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.64  |   (4)  e3 = e0
% 197.80/34.64  | 
% 197.80/34.64  | SIMP: (4) implies:
% 197.80/34.64  |   (5)  e3 = e0
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (3), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1798 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.80/34.64         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.80/34.64    (2)   ~ (e3 = e2)
% 197.80/34.64    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.64    (4)  all_56_7 = e0
% 197.80/34.64    (5)  op(e3, e2) = e3
% 197.80/34.64    (6)   ~ (e2 = e1)
% 197.80/34.64    (7)  op(e2, e2) = e0
% 197.80/34.64    (8)   ~ (e2 = e0)
% 197.80/34.64    (9)  all_56_13 = e1
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | BETA: splitting (1) gives:
% 197.80/34.64  | 
% 197.80/34.64  | Case 1:
% 197.80/34.64  | | 
% 197.80/34.64  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.80/34.64  | |           e2)
% 197.80/34.64  | | 
% 197.80/34.64  | | REF_CLOSE: (2), (3), (5), (7), (8), (10) are inconsistent by sub-proof
% 197.80/34.64  | |            #1926.
% 197.80/34.64  | | 
% 197.80/34.64  | Case 2:
% 197.80/34.64  | | 
% 197.80/34.64  | |   (11)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 197.80/34.64  | |           e2)
% 197.80/34.64  | | 
% 197.80/34.64  | | BETA: splitting (11) gives:
% 197.80/34.64  | | 
% 197.80/34.64  | | Case 1:
% 197.80/34.64  | | | 
% 197.80/34.64  | | |   (12)  all_56_7 = e2 & op(e1, e2) = e2
% 197.80/34.64  | | | 
% 197.80/34.64  | | | ALPHA: (12) implies:
% 197.80/34.64  | | |   (13)  all_56_7 = e2
% 197.80/34.64  | | | 
% 197.80/34.64  | | | REF_CLOSE: (4), (8), (13) are inconsistent by sub-proof #1868.
% 197.80/34.64  | | | 
% 197.80/34.64  | | Case 2:
% 197.80/34.64  | | | 
% 197.80/34.64  | | |   (14)  all_56_13 = e2 & op(e0, e2) = e2
% 197.80/34.64  | | | 
% 197.80/34.64  | | | ALPHA: (14) implies:
% 197.80/34.64  | | |   (15)  all_56_13 = e2
% 197.80/34.64  | | | 
% 197.80/34.64  | | | REF_CLOSE: (6), (9), (15) are inconsistent by sub-proof #1916.
% 197.80/34.64  | | | 
% 197.80/34.64  | | End of split
% 197.80/34.64  | | 
% 197.80/34.64  | End of split
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1799 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.64    (2)  op(e3, e0) = all_52_12
% 197.80/34.64    (3)  op(e3, e0) = e0
% 197.80/34.64    (4)   ~ (all_52_12 = e0)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | GROUND_INST: instantiating (1) with all_52_12, e0, e0, e3, simplifying with
% 197.80/34.64  |              (2), (3) gives:
% 197.80/34.64  |   (5)  all_52_12 = e0
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (4), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1800 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.64    (2)  op(e2, e0) = all_32_1
% 197.80/34.64    (3)  op(e2, e0) = e1
% 197.80/34.64    (4)   ~ (all_32_1 = e1)
% 197.80/34.64  
% 197.80/34.64  Begin of proof
% 197.80/34.64  | 
% 197.80/34.64  | GROUND_INST: instantiating (1) with e1, all_32_1, e0, e2, simplifying with
% 197.80/34.64  |              (2), (3) gives:
% 197.80/34.64  |   (5)  all_32_1 = e1
% 197.80/34.64  | 
% 197.80/34.64  | REDUCE: (4), (5) imply:
% 197.80/34.64  |   (6)  $false
% 197.80/34.64  | 
% 197.80/34.64  | CLOSE: (6) is inconsistent.
% 197.80/34.64  | 
% 197.80/34.64  End of proof
% 197.80/34.64  
% 197.80/34.64  Sub-proof #1801 shows that the following formulas are inconsistent:
% 197.80/34.64  ----------------------------------------------------------------
% 197.80/34.64    (1)  op(e1, e1) = e1
% 197.80/34.64    (2)  op(e1, e3) = all_52_2
% 197.80/34.64    (3)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.80/34.64           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.80/34.64           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.80/34.64                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.80/34.64               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.80/34.64               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.80/34.64           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.80/34.64           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.80/34.64               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.80/34.64           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.80/34.64               = all_57_2 & $i(all_57_2)))) | (all_57_1 = e3 & all_57_6 = e3 &
% 197.80/34.64           all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) = e3 &
% 197.80/34.64           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_12 = e1 & op(e2, e2)
% 197.80/34.64               = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.80/34.64               $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.80/34.64               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.64         (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10
% 197.80/34.64           & op(e3, e1) = e1 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.80/34.64           ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2) & op(e2, e3)
% 197.80/34.64               = all_57_0 & $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.80/34.64             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.80/34.64         (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.80/34.64           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.80/34.64           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.80/34.64                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.80/34.64               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.80/34.64               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.80/34.64           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.80/34.64           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.80/34.64             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.80/34.64           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.80/34.64               = all_57_1 & $i(all_57_1)))) | (all_57_4 = e2 & all_57_7 = e2 &
% 197.80/34.64           all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 197.80/34.64           op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3)
% 197.80/34.64               = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.80/34.64               $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0) = e1) | ( ~
% 197.80/34.64               (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.64         (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12
% 197.80/34.64           & op(e2, e1) = e1 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.80/34.64           ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2)
% 197.80/34.64               = all_57_3 & $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.80/34.64             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.80/34.64         (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.80/34.64           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.80/34.64           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.80/34.64                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.80/34.64               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.80/34.64               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.80/34.64           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.80/34.64             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.80/34.64               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.80/34.64           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.80/34.64               = all_57_4 & $i(all_57_4)))) | (all_57_8 = e1 & all_57_13 = e1 &
% 197.80/34.64           all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 197.80/34.64           op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3)
% 197.80/34.64               = e0) | ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.80/34.64               $i(all_57_9))) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.80/34.64               (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 197.80/34.64         (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) = all_57_14
% 197.80/34.64           & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 & $i(all_57_14) &
% 197.80/34.64           ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) & op(e3, e1)
% 197.80/34.64               = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1 & op(e2, e2) = e1) |
% 197.80/34.64             ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.80/34.64         (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.80/34.64             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.80/34.64           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.80/34.64               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.80/34.64             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.80/34.64         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.80/34.64             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.80/34.64           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.80/34.64               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.80/34.64             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 197.80/34.64         (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 = e1 & op(e3, e3) = e1) |
% 197.80/34.64             ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.80/34.64           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.80/34.64               = all_57_7 & $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0) = e1) |
% 197.80/34.64             ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.64         (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 = e0 & op(e3, e3) = e0) |
% 197.80/34.64             ( ~ (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.80/34.64           ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0)
% 197.80/34.64               = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0 & op(e1, e1) = e0)
% 197.80/34.64             | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 197.80/34.64    (4)  all_54_4 = all_52_1
% 197.80/34.64    (5)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.80/34.64         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.80/34.64    (6)  op(e1, e2) = all_52_6
% 197.80/34.64    (7)   ~ (all_52_14 = e0)
% 197.80/34.64    (8)   ~ (all_52_6 = e0)
% 197.80/34.64    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.80/34.64         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.64    (10)   ~ (all_52_1 = e0)
% 197.80/34.64    (11)   ~ (all_52_11 = e1)
% 197.80/34.64    (12)  all_56_10 = e1
% 197.80/34.64    (13)   ~ (all_52_1 = all_52_9)
% 197.80/34.64    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.80/34.64          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.80/34.64    (15)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.80/34.64          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.80/34.64    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.80/34.64          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.80/34.64    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.64            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.64    (18)   ~ (all_52_9 = e1)
% 197.80/34.64    (19)  op(e3, e2) = all_52_4
% 197.80/34.64    (20)  op(e2, e2) = all_4_2
% 197.80/34.64    (21)   ~ (all_52_9 = e0)
% 197.80/34.64    (22)  op(e1, e2) = all_32_0
% 197.80/34.64    (23)  op(e3, e3) = e1
% 197.80/34.64    (24)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.80/34.64          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.64    (25)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.80/34.64          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.80/34.64    (26)  all_54_9 = all_52_6
% 197.80/34.64    (27)   ~ (all_52_4 = e0)
% 197.80/34.64    (28)  op(e0, e3) = all_52_3
% 197.80/34.64    (29)  op(e2, e0) = all_52_13
% 197.80/34.64    (30)  op(e1, e0) = all_52_14
% 197.80/34.64    (31)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.80/34.64          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.80/34.64    (32)   ~ (all_52_4 = all_52_12)
% 197.80/34.64    (33)  ( ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 & op(e3, e1) =
% 197.80/34.64            all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e3,
% 197.80/34.64              e1) = all_42_1 & $i(all_42_1))
% 197.80/34.64    (34)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.80/34.64              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.80/34.64            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.80/34.64            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.80/34.64            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.80/34.64            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.80/34.64            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.80/34.64            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.80/34.64            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.80/34.64            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.80/34.64            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.80/34.64            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.80/34.64            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.80/34.64            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.80/34.64            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.80/34.64            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.80/34.64            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.80/34.64            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.80/34.64            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.80/34.64            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.80/34.64            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.80/34.64            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.80/34.64            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.80/34.64            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.80/34.64            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.80/34.64            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.80/34.64            $i(all_57_10)) | (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.80/34.64            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.80/34.64            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.80/34.64            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3)
% 197.80/34.64            &  ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.80/34.64            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.80/34.64            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0)
% 197.80/34.64            &  ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.80/34.64            op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.80/34.64            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0)
% 197.80/34.64            &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.80/34.64            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.80/34.64            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0)
% 197.80/34.64            &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.80/34.64            op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.80/34.64            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3)
% 197.80/34.64            &  ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.80/34.64            op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.80/34.64            $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3)
% 197.80/34.64            &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.80/34.64            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.80/34.64            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 =
% 197.80/34.64              e0) &  ~ (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2
% 197.80/34.64            & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.80/34.64            $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.80/34.64              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11
% 197.80/34.64            & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.80/34.64            $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2
% 197.80/34.64                = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.80/34.64                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.80/34.64                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.80/34.64                  e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.80/34.64                e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10
% 197.80/34.64                = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.80/34.64                & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.80/34.64              (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.80/34.64                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.80/34.64                e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.80/34.64                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.80/34.64                  e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.80/34.64                e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.80/34.64                op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.80/34.64                $i(all_57_7))))
% 197.80/34.64    (35)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.80/34.64          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.80/34.64    (36)  all_56_6 = e0
% 197.80/34.64    (37)   ~ (all_52_8 = e1)
% 197.80/34.64    (38)  op(e3, e1) = all_26_1
% 197.80/34.64    (39)  op(e0, e1) = all_52_11
% 197.80/34.64    (40)   ~ (all_52_14 = e1)
% 197.80/34.64    (41)   ~ (all_52_1 = e1)
% 197.80/34.65    (42)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.80/34.65          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.80/34.65    (43)   ~ (all_4_2 = e3)
% 197.80/34.65    (44)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.80/34.65          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.80/34.65    (45)   ~ (all_32_0 = e3)
% 197.80/34.65    (46)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.80/34.65          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.80/34.65    (47)   ~ (e1 = e0)
% 197.80/34.65    (48)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.80/34.65    (49)   ~ (all_52_4 = e1)
% 197.80/34.65    (50)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.80/34.65          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.80/34.65    (51)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.80/34.65          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.80/34.65    (52)  op(e3, e1) = e0
% 197.80/34.65    (53)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.80/34.65          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.80/34.65    (54)   ~ (all_52_11 = e0)
% 197.80/34.65    (55)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.80/34.65    (56)   ~ (all_52_3 = e0)
% 197.80/34.65    (57)   ~ (all_52_2 = e1)
% 197.80/34.65    (58)  op(e3, e0) = all_52_12
% 197.80/34.65    (59)  op(e2, e1) = all_52_9
% 197.80/34.65    (60)  op(e0, e0) = e0
% 197.80/34.65    (61)  all_56_4 = e0
% 197.80/34.65    (62)   ~ (all_52_4 = all_52_6)
% 197.80/34.65    (63)  op(e3, e1) = all_52_8
% 197.80/34.65    (64)  op(e2, e2) = e0
% 197.80/34.65    (65)   ~ (all_52_9 = all_52_13)
% 197.80/34.65    (66)  all_54_1 = all_52_4
% 197.80/34.65    (67)   ~ (all_52_6 = e1)
% 197.80/34.65    (68)  op(e2, e3) = all_52_1
% 197.80/34.65    (69)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 197.80/34.65    (70)  all_56_13 = e1
% 197.80/34.65  
% 197.80/34.65  Begin of proof
% 197.80/34.65  | 
% 197.80/34.65  | GROUND_INST: instantiating (17) with all_52_6, all_32_0, e2, e1, simplifying
% 197.80/34.65  |              with (6), (22) gives:
% 197.80/34.65  |   (71)  all_52_6 = all_32_0
% 197.80/34.65  | 
% 197.80/34.65  | GROUND_INST: instantiating (17) with e0, all_26_1, e1, e3, simplifying with
% 197.80/34.65  |              (38), (52) gives:
% 197.80/34.65  |   (72)  all_26_1 = e0
% 197.80/34.65  | 
% 197.80/34.65  | COMBINE_EQS: (26), (71) imply:
% 197.80/34.65  |   (73)  all_54_9 = all_32_0
% 197.80/34.65  | 
% 197.80/34.65  | REDUCE: (62), (71) imply:
% 197.80/34.65  |   (74)   ~ (all_52_4 = all_32_0)
% 197.80/34.65  | 
% 197.80/34.65  | REDUCE: (67), (71) imply:
% 197.80/34.65  |   (75)   ~ (all_32_0 = e1)
% 197.80/34.65  | 
% 197.80/34.65  | REDUCE: (8), (71) imply:
% 197.80/34.65  |   (76)   ~ (all_32_0 = e0)
% 197.80/34.65  | 
% 197.80/34.65  | BETA: splitting (33) gives:
% 197.80/34.65  | 
% 197.80/34.65  | Case 1:
% 197.80/34.65  | | 
% 197.80/34.65  | |   (77)   ~ (all_42_0 = e2) & op(all_42_1, e3) = all_42_0 & op(e3, e1) =
% 197.80/34.65  | |         all_42_1 & $i(all_42_0) & $i(all_42_1)
% 197.80/34.65  | | 
% 197.80/34.65  | | ALPHA: (77) implies:
% 197.80/34.65  | |   (78)   ~ (all_42_0 = e2)
% 197.80/34.65  | |   (79)  op(e3, e1) = all_42_1
% 197.80/34.65  | |   (80)  op(all_42_1, e3) = all_42_0
% 197.80/34.65  | | 
% 197.80/34.65  | | BETA: splitting (69) gives:
% 197.80/34.65  | | 
% 197.80/34.65  | | Case 1:
% 197.80/34.65  | | | 
% 197.80/34.65  | | |   (81)  all_54_9 = e3
% 197.80/34.65  | | | 
% 197.80/34.65  | | | REF_CLOSE: (45), (73), (81) are inconsistent by sub-proof #1899.
% 197.80/34.65  | | | 
% 197.80/34.65  | | Case 2:
% 197.80/34.65  | | | 
% 197.80/34.65  | | |   (82)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 197.80/34.65  | | | 
% 197.80/34.65  | | | BETA: splitting (82) gives:
% 197.80/34.65  | | | 
% 197.80/34.65  | | | Case 1:
% 197.80/34.65  | | | | 
% 197.80/34.65  | | | |   (83)  all_54_9 = e2
% 197.80/34.65  | | | | 
% 197.80/34.65  | | | | COMBINE_EQS: (73), (83) imply:
% 197.80/34.65  | | | |   (84)  all_32_0 = e2
% 197.80/34.65  | | | | 
% 197.80/34.65  | | | | SIMP: (84) implies:
% 197.80/34.65  | | | |   (85)  all_32_0 = e2
% 197.80/34.65  | | | | 
% 197.80/34.65  | | | | REDUCE: (74), (85) imply:
% 197.80/34.65  | | | |   (86)   ~ (all_52_4 = e2)
% 197.80/34.65  | | | | 
% 197.80/34.65  | | | | REDUCE: (75), (85) imply:
% 197.80/34.65  | | | |   (87)   ~ (e2 = e1)
% 197.80/34.65  | | | | 
% 197.80/34.65  | | | | REDUCE: (76), (85) imply:
% 197.80/34.65  | | | |   (88)   ~ (e2 = e0)
% 197.80/34.65  | | | | 
% 197.80/34.65  | | | | BETA: splitting (55) gives:
% 197.80/34.65  | | | | 
% 197.80/34.65  | | | | Case 1:
% 197.80/34.65  | | | | | 
% 197.80/34.65  | | | | |   (89)  all_54_1 = e3
% 197.80/34.65  | | | | | 
% 197.80/34.65  | | | | | COMBINE_EQS: (66), (89) imply:
% 197.80/34.65  | | | | |   (90)  all_52_4 = e3
% 197.80/34.65  | | | | | 
% 197.80/34.65  | | | | | REDUCE: (32), (90) imply:
% 197.80/34.65  | | | | |   (91)   ~ (all_52_12 = e3)
% 197.80/34.65  | | | | | 
% 197.80/34.65  | | | | | SIMP: (91) implies:
% 197.80/34.65  | | | | |   (92)   ~ (all_52_12 = e3)
% 197.80/34.65  | | | | | 
% 197.80/34.65  | | | | | REDUCE: (86), (90) imply:
% 197.80/34.65  | | | | |   (93)   ~ (e3 = e2)
% 197.80/34.65  | | | | | 
% 197.80/34.65  | | | | | REDUCE: (49), (90) imply:
% 197.80/34.65  | | | | |   (94)   ~ (e3 = e1)
% 197.80/34.65  | | | | | 
% 197.80/34.65  | | | | | REDUCE: (27), (90) imply:
% 197.80/34.65  | | | | |   (95)   ~ (e3 = e0)
% 197.80/34.65  | | | | | 
% 197.80/34.65  | | | | | REDUCE: (19), (90) imply:
% 197.80/34.65  | | | | |   (96)  op(e3, e2) = e3
% 197.80/34.65  | | | | | 
% 197.80/34.65  | | | | | BETA: splitting (31) gives:
% 197.80/34.65  | | | | | 
% 197.80/34.65  | | | | | Case 1:
% 197.80/34.65  | | | | | | 
% 197.80/34.65  | | | | | |   (97)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2,
% 197.80/34.65  | | | | | |             e2) = e3)
% 197.80/34.65  | | | | | | 
% 197.80/34.65  | | | | | | BETA: splitting (97) gives:
% 197.80/34.65  | | | | | | 
% 197.80/34.65  | | | | | | Case 1:
% 197.80/34.65  | | | | | | | 
% 197.80/34.65  | | | | | | |   (98)  all_56_1 = e3 & op(e3, e2) = e3
% 197.80/34.65  | | | | | | | 
% 197.80/34.65  | | | | | | | ALPHA: (98) implies:
% 197.80/34.65  | | | | | | |   (99)  all_56_1 = e3
% 197.80/34.65  | | | | | | | 
% 197.80/34.65  | | | | | | | BETA: splitting (15) gives:
% 197.80/34.65  | | | | | | | 
% 197.80/34.65  | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | 
% 197.80/34.65  | | | | | | | |   (100)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 &
% 197.80/34.65  | | | | | | | |            op(e2, e2) = e2)
% 197.80/34.65  | | | | | | | | 
% 197.80/34.65  | | | | | | | | BETA: splitting (100) gives:
% 197.80/34.65  | | | | | | | | 
% 197.80/34.65  | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | |   (101)  all_56_1 = e2 & op(e3, e2) = e2
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | REF_CLOSE: (17), (19), (27), (49), (55), (66), (86), (101) are
% 197.80/34.65  | | | | | | | | |            inconsistent by sub-proof #1896.
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | Case 2:
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | |   (102)  all_56_3 = e2 & op(e2, e2) = e2
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | ALPHA: (102) implies:
% 197.80/34.65  | | | | | | | | |   (103)  op(e2, e2) = e2
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | REF_CLOSE: (17), (64), (88), (103) are inconsistent by
% 197.80/34.65  | | | | | | | | |            sub-proof #1939.
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | End of split
% 197.80/34.65  | | | | | | | | 
% 197.80/34.65  | | | | | | | Case 2:
% 197.80/34.65  | | | | | | | | 
% 197.80/34.65  | | | | | | | |   (104)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 197.80/34.65  | | | | | | | |            op(e0, e2) = e2)
% 197.80/34.65  | | | | | | | | 
% 197.80/34.65  | | | | | | | | BETA: splitting (104) gives:
% 197.80/34.65  | | | | | | | | 
% 197.80/34.65  | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | |   (105)  all_56_7 = e2 & op(e1, e2) = e2
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | ALPHA: (105) implies:
% 197.80/34.65  | | | | | | | | |   (106)  all_56_7 = e2
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | BETA: splitting (34) gives:
% 197.80/34.65  | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | |   (107)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 =
% 197.80/34.65  | | | | | | | | | |              e1) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.80/34.65  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e1, e3) = all_57_1 &
% 197.80/34.65  | | | | | | | | | |            op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 197.80/34.65  | | | | | | | | | |          (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 =
% 197.80/34.65  | | | | | | | | | |              e0) &  ~ (all_57_12 = e3) & op(e2, e3) = e2 &
% 197.80/34.65  | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.80/34.65  | | | | | | | | | |            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 197.80/34.65  | | | | | | | | | |          (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.80/34.65  | | | | | | | | | |              e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.80/34.65  | | | | | | | | | |            op(e1, e1) = all_57_14 & $i(all_57_0) &
% 197.80/34.65  | | | | | | | | | |            $i(all_57_14)) | (all_57_1 = e1 & all_57_15 = e3
% 197.80/34.65  | | | | | | | | | |            &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) &
% 197.80/34.65  | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0,
% 197.80/34.65  | | | | | | | | | |              e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2)
% 197.80/34.65  | | | | | | | | | |            & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 =
% 197.80/34.65  | | | | | | | | | |            e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 = e2) &
% 197.80/34.65  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1,
% 197.80/34.65  | | | | | | | | | |              e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4)
% 197.80/34.65  | | | | | | | | | |            & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 =
% 197.80/34.65  | | | | | | | | | |            e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.80/34.65  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0,
% 197.80/34.65  | | | | | | | | | |              e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5)
% 197.80/34.65  | | | | | | | | | |            & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 =
% 197.80/34.65  | | | | | | | | | |            e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2) &
% 197.80/34.65  | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1,
% 197.80/34.65  | | | | | | | | | |              e2) = e1 & op(e1, e1) = all_57_14 &
% 197.80/34.65  | | | | | | | | | |            $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1 &
% 197.80/34.65  | | | | | | | | | |            all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.80/34.65  | | | | | | | | | |            (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 197.80/34.65  | | | | | | | | | |            all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) =
% 197.80/34.65  | | | | | | | | | |            e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 197.80/34.65  | | | | | | | | | |            e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.80/34.65  | | | | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 197.80/34.65  | | | | | | | | | |            op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.80/34.65  | | | | | | | | | |            all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.80/34.65  | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | REF_CLOSE: (1), (2), (6), (17), (20), (43), (47), (57), (60),
% 197.80/34.65  | | | | | | | | | |            (64), (67), (87), (88), (94), (95), (107) are
% 197.80/34.65  | | | | | | | | | |            inconsistent by sub-proof #1894.
% 197.80/34.65  | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | Case 2:
% 197.80/34.65  | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | |   (108)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.80/34.65  | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.80/34.65  | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.80/34.65  | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.80/34.65  | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.80/34.65  | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.80/34.65  | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.80/34.65  | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.80/34.65  | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.80/34.65  | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.80/34.65  | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.80/34.65  | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.80/34.65  | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.80/34.65  | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.80/34.65  | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.80/34.65  | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.80/34.65  | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.80/34.65  | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 197.80/34.65  | | | | | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 &
% 197.80/34.65  | | | | | | | | | |            $i(all_57_10) & $i(all_57_13)) | (all_57_10 = e0
% 197.80/34.65  | | | | | | | | | |            & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.80/34.65  | | | | | | | | | |            (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.80/34.65  | | | | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) =
% 197.80/34.65  | | | | | | | | | |            e2 & $i(all_57_9) & $i(all_57_12)) | (all_57_10 =
% 197.80/34.65  | | | | | | | | | |            e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~
% 197.80/34.65  | | | | | | | | | |            (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.80/34.65  | | | | | | | | | |            all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) =
% 197.80/34.65  | | | | | | | | | |            e1 & $i(all_57_9) & $i(all_57_14)) | (all_57_11 =
% 197.80/34.65  | | | | | | | | | |            e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.80/34.65  | | | | | | | | | |            (all_57_13 = e1) & op(e2, e2) = all_57_12 &
% 197.80/34.65  | | | | | | | | | |            op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 197.80/34.65  | | | | | | | | | |            all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.80/34.65  | | | | | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 =
% 197.80/34.65  | | | | | | | | | |              e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 &
% 197.80/34.65  | | | | | | | | | |            op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 197.80/34.65  | | | | | | | | | |            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14))
% 197.80/34.65  | | | | | | | | | |          | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.65  | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.80/34.65  | | | | | | | | | |                  e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 197.80/34.65  | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 197.80/34.65  | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.80/34.65  | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.80/34.65  | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.80/34.65  | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.80/34.65  | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.80/34.65  | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.80/34.65  | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.80/34.65  | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.80/34.65  | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.80/34.65  | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.80/34.65  | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.80/34.65  | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.80/34.65  | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.80/34.65  | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.80/34.65  | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.80/34.65  | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | BETA: splitting (108) gives:
% 197.80/34.65  | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | |   (109)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.80/34.65  | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.80/34.65  | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.80/34.65  | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.80/34.65  | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.80/34.65  | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.80/34.65  | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.80/34.65  | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.80/34.65  | | | | | | | | | | |            all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.80/34.65  | | | | | | | | | | |            (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 197.80/34.65  | | | | | | | | | | |            op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0,
% 197.80/34.65  | | | | | | | | | | |              e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.80/34.65  | | | | | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 =
% 197.80/34.65  | | | | | | | | | | |              e0) &  ~ (all_57_11 = e2) & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | | |            all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.80/34.65  | | | | | | | | | | |            op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.80/34.65  | | | | | | | | | | |            $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0
% 197.80/34.65  | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.80/34.65  | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.80/34.65  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.80/34.65  | | | | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 197.80/34.65  | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | BETA: splitting (109) gives:
% 197.80/34.65  | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | |   (110)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.80/34.65  | | | | | | | | | | | |              e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | | | |            all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.80/34.65  | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.80/34.65  | | | | | | | | | | | |            $i(all_57_10)) | (all_57_7 = e2 & all_57_10 = e1
% 197.80/34.65  | | | | | | | | | | | |            &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.80/34.65  | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2,
% 197.80/34.65  | | | | | | | | | | | |              e2) = all_57_12 & op(e2, e1) = e2 &
% 197.80/34.65  | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 197.80/34.65  | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | BETA: splitting (110) gives:
% 197.80/34.65  | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | |   (111)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.80/34.65  | | | | | | | | | | | | |            e0) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | | | | |          all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.80/34.65  | | | | | | | | | | | | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.80/34.65  | | | | | | | | | | | | |          $i(all_57_10)
% 197.80/34.65  | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | ALPHA: (111) implies:
% 197.80/34.65  | | | | | | | | | | | | |   (112)  op(e0, e0) = e1
% 197.80/34.65  | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | REF_CLOSE: (17), (47), (60), (112) are inconsistent by
% 197.80/34.65  | | | | | | | | | | | | |            sub-proof #1943.
% 197.80/34.65  | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | Case 2:
% 197.80/34.65  | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | |   (113)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 =
% 197.80/34.65  | | | | | | | | | | | | |            e3) &  ~ (all_57_12 = e1) & op(e3, e3) = e1 &
% 197.80/34.65  | | | | | | | | | | | | |          op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.80/34.65  | | | | | | | | | | | | |          op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 197.80/34.65  | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | ALPHA: (113) implies:
% 197.80/34.65  | | | | | | | | | | | | |   (114)  all_57_7 = e2
% 197.80/34.65  | | | | | | | | | | | | |   (115)   ~ (all_57_12 = e1)
% 197.80/34.65  | | | | | | | | | | | | |   (116)  op(e2, e1) = e2
% 197.80/34.65  | | | | | | | | | | | | |   (117)  op(e2, e2) = all_57_12
% 197.80/34.65  | | | | | | | | | | | | |   (118)  op(e3, e1) = all_57_6
% 197.80/34.65  | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | BETA: splitting (3) gives:
% 197.80/34.65  | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | |   (119)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.80/34.65  | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.80/34.65  | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.80/34.65  | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.80/34.65  | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.80/34.65  | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.80/34.65  | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.80/34.65  | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.80/34.65  | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.80/34.65  | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.80/34.65  | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.80/34.65  | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.80/34.65  | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.65  | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.80/34.65  | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.80/34.65  | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.80/34.65  | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.80/34.65  | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.80/34.65  | | | | | | | | | | | | | |          (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.80/34.65  | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.65  | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.80/34.65  | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.80/34.65  | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.80/34.65  | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.80/34.65  | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.80/34.65  | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.80/34.65  | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.80/34.65  | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.80/34.65  | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.80/34.65  | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.80/34.65  | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.80/34.65  | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.80/34.65  | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.65  | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.80/34.65  | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.80/34.65  | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.80/34.65  | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.80/34.65  | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.80/34.65  | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.80/34.65  | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 197.80/34.65  | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | |   (120)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.80/34.65  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.80/34.65  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.80/34.65  | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.80/34.65  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.80/34.65  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.80/34.65  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.80/34.65  | | | | | | | | | | | | | | |          (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.80/34.65  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.80/34.65  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.65  | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.80/34.65  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.80/34.65  | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.80/34.65  | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.80/34.65  | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | BETA: splitting (120) gives:
% 197.80/34.65  | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | |   (121)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e3, e3) = e2 & op(e3, e2) = e3 & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = all_57_12 & $i(all_57_12) &
% 197.80/34.65  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.80/34.65  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.80/34.65  | | | | | | | | | | | | | | | |          (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) =
% 197.80/34.65  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | | |                all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.80/34.65  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.80/34.65  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (20), (23), (43), (87), (121) are
% 197.80/34.65  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1893.
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | Case 2:
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | |   (122)  (all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | | |            e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.80/34.65  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.80/34.65  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.65  | | | | | | | | | | | | | | | |          (all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e1, e3) = e1 & op(e1, e1) = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.80/34.65  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_15 = e3
% 197.80/34.65  | | | | | | | | | | | | | | | |                & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) &
% 197.80/34.65  | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_2 & $i(all_57_2))))
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | |   (123)  all_57_1 = e3 & all_57_6 = e3 & all_57_10 = e1 &
% 197.80/34.65  | | | | | | | | | | | | | | | | |          op(e3, e3) = e1 & op(e3, e1) = e3 & op(e1, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | | | |          e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.80/34.65  | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.80/34.65  | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 197.80/34.65  | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.80/34.65  | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | | ALPHA: (123) implies:
% 197.80/34.65  | | | | | | | | | | | | | | | | |   (124)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 197.80/34.65  | | | | | | | | | | | | | | | | |              = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | | REF_CLOSE: (114), (115), (124) are inconsistent by sub-proof
% 197.80/34.65  | | | | | | | | | | | | | | | | |            #1892.
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | Case 2:
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | |   (125)  all_57_1 = e1 & all_57_6 = e1 & all_57_14 = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | | | |          op(e3, e3) = all_57_10 & op(e3, e1) = e1 & op(e1,
% 197.80/34.65  | | | | | | | | | | | | | | | | |            e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) &
% 197.80/34.65  | | | | | | | | | | | | | | | | |          ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | | | |              (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.80/34.65  | | | | | | | | | | | | | | | | |              $i(all_57_0))) & ((all_57_15 = e3 & op(e0, e0)
% 197.80/34.65  | | | | | | | | | | | | | | | | |              = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | | | |              all_57_2 & $i(all_57_2)))
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | | ALPHA: (125) implies:
% 197.80/34.65  | | | | | | | | | | | | | | | | |   (126)  op(e1, e3) = e1
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (17), (57), (126) are inconsistent by
% 197.80/34.65  | | | | | | | | | | | | | | | | |            sub-proof #1974.
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | End of split
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | End of split
% 197.80/34.65  | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | Case 2:
% 197.80/34.65  | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | |   (127)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.65  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.80/34.65  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.80/34.65  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.80/34.65  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.80/34.65  | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.80/34.65  | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.80/34.65  | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.80/34.65  | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1)))) |
% 197.80/34.65  | | | | | | | | | | | | | | |          (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.80/34.65  | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.80/34.65  | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.80/34.65  | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.65  | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.80/34.65  | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.80/34.65  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.80/34.65  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.80/34.65  | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.80/34.65  | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.80/34.65  | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 197.80/34.65  | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | |   (128)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.65  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.80/34.65  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.80/34.65  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.80/34.65  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.80/34.65  | | | | | | | | | | | | | | | |          (all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) =
% 197.80/34.65  | | | | | | | | | | | | | | | |                e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | | |                all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.80/34.65  | | | | | | | | | | | | | | | |                & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) &
% 197.80/34.65  | | | | | | | | | | | | | | | |                op(e1, e3) = all_57_1 & $i(all_57_1))))
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (28), (47), (56), (128) are
% 197.80/34.65  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1891.
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | Case 2:
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | |   (129)  (all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.80/34.65  | | | | | | | | | | | | | | | |            e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.80/34.65  | | | | | | | | | | | | | | | |            ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | | |                (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.80/34.65  | | | | | | | | | | | | | | | |                $i(all_57_6))) & ((all_57_15 = e1 & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.80/34.65  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.65  | | | | | | | | | | | | | | | |          (all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            op(e1, e2) = e1 & op(e1, e1) = e2 &
% 197.80/34.65  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.80/34.65  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.80/34.65  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_15 = e2
% 197.80/34.65  | | | | | | | | | | | | | | | |                & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) &
% 197.80/34.65  | | | | | | | | | | | | | | | |                op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | Case 1:
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | |   (130)  all_57_4 = e2 & all_57_7 = e2 & all_57_12 = e1 &
% 197.80/34.65  | | | | | | | | | | | | | | | | |          op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e2) =
% 197.80/34.65  | | | | | | | | | | | | | | | | |          e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 197.80/34.65  | | | | | | | | | | | | | | | | |          ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | | | |              (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 197.80/34.65  | | | | | | | | | | | | | | | | |              $i(all_57_6))) & ((all_57_15 = e1 & op(e0, e0)
% 197.80/34.65  | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.80/34.65  | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | | ALPHA: (130) implies:
% 197.80/34.65  | | | | | | | | | | | | | | | | |   (131)  op(e2, e2) = e1
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (115), (117), (131) are inconsistent by
% 197.80/34.65  | | | | | | | | | | | | | | | | |            sub-proof #1890.
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | Case 2:
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | |   (132)  all_57_4 = e1 & all_57_7 = e1 & all_57_14 = e2 &
% 197.80/34.65  | | | | | | | | | | | | | | | | |          op(e2, e2) = all_57_12 & op(e2, e1) = e1 & op(e1,
% 197.80/34.65  | | | | | | | | | | | | | | | | |            e2) = e1 & op(e1, e1) = e2 & $i(all_57_12) &
% 197.80/34.65  | | | | | | | | | | | | | | | | |          ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.80/34.65  | | | | | | | | | | | | | | | | |              (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.80/34.65  | | | | | | | | | | | | | | | | |              $i(all_57_3))) & ((all_57_15 = e2 & op(e0, e0)
% 197.80/34.65  | | | | | | | | | | | | | | | | |              = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 197.80/34.65  | | | | | | | | | | | | | | | | |              all_57_5 & $i(all_57_5)))
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | | ALPHA: (132) implies:
% 197.80/34.65  | | | | | | | | | | | | | | | | |   (133)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 197.80/34.65  | | | | | | | | | | | | | | | | |              = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (87), (96), (133) are inconsistent by
% 197.80/34.65  | | | | | | | | | | | | | | | | |            sub-proof #1888.
% 197.80/34.65  | | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | | End of split
% 197.80/34.65  | | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | | End of split
% 197.80/34.65  | | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | | End of split
% 197.80/34.65  | | | | | | | | | | | | | | 
% 197.80/34.65  | | | | | | | | | | | | | Case 2:
% 197.80/34.65  | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | |   (134)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.80/34.66  | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.80/34.66  | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.66  | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.80/34.66  | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.80/34.66  | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.80/34.66  | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.80/34.66  | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.80/34.66  | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.80/34.66  | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.80/34.66  | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.80/34.66  | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.80/34.66  | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.80/34.66  | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.80/34.66  | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.80/34.66  | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.66  | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.80/34.66  | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.80/34.66  | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.80/34.66  | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.80/34.66  | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.80/34.66  | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.80/34.66  | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.80/34.66  | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.80/34.66  | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.80/34.66  | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.80/34.66  | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.80/34.66  | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7)))) |
% 197.80/34.66  | | | | | | | | | | | | | |          (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.80/34.66  | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.80/34.66  | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.80/34.66  | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.80/34.66  | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.80/34.66  | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.80/34.66  | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.80/34.66  | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.80/34.66  | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.80/34.66  | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.80/34.66  | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.80/34.66  | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.80/34.66  | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.66  | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.80/34.66  | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.80/34.66  | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.80/34.66  | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.80/34.66  | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 197.80/34.66  | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | |   (135)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.80/34.66  | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.80/34.66  | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.66  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.80/34.66  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.80/34.66  | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.80/34.66  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.80/34.66  | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.80/34.66  | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.80/34.66  | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.80/34.66  | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.80/34.66  | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.80/34.66  | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4)))) |
% 197.80/34.66  | | | | | | | | | | | | | | |          (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.80/34.66  | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.80/34.66  | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.66  | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.80/34.66  | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.80/34.66  | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.80/34.66  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.80/34.66  | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.80/34.66  | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.80/34.66  | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.80/34.66  | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.80/34.66  | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.80/34.66  | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.80/34.66  | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | |   (136)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 &
% 197.80/34.66  | | | | | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e2) =
% 197.80/34.66  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.66  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.80/34.66  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_14 = e0 & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13)))) |
% 197.80/34.66  | | | | | | | | | | | | | | | |          (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 &
% 197.80/34.66  | | | | | | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 197.80/34.66  | | | | | | | | | | | | | | | |            op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.80/34.66  | | | | | | | | | | | | | | | |            $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) =
% 197.80/34.66  | | | | | | | | | | | | | | | |                e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.80/34.66  | | | | | | | | | | | | | | | |                all_57_3 & $i(all_57_3))) & ((all_57_14 = e2
% 197.80/34.66  | | | | | | | | | | | | | | | |                & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) &
% 197.80/34.66  | | | | | | | | | | | | | | | |                op(e1, e2) = all_57_4 & $i(all_57_4))))
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (59), (65), (87), (96), (116),
% 197.80/34.66  | | | | | | | | | | | | | | | |            (136) are inconsistent by sub-proof #1886.
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | |   (137)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 &
% 197.80/34.66  | | | | | | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, e1) =
% 197.80/34.66  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.66  | | | | | | | | | | | | | | | |            ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | | |                (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 197.80/34.66  | | | | | | | | | | | | | | | |                $i(all_57_9))) & ((all_57_12 = e0 & op(e2,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e2) = e0) | ( ~ (all_57_11 = e2) & op(e2,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e0) = all_57_11 & $i(all_57_11)))) |
% 197.80/34.66  | | | | | | | | | | | | | | | |          (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 &
% 197.80/34.66  | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 197.80/34.66  | | | | | | | | | | | | | | | |            op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.80/34.66  | | | | | | | | | | | | | | | |            $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) =
% 197.80/34.66  | | | | | | | | | | | | | | | |                e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 197.80/34.66  | | | | | | | | | | | | | | | |                all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.80/34.66  | | | | | | | | | | | | | | | |                & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) &
% 197.80/34.66  | | | | | | | | | | | | | | | |                op(e2, e1) = all_57_7 & $i(all_57_7))))
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (17), (30), (39), (137) are
% 197.80/34.66  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1883.
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | |   (138)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.80/34.66  | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.80/34.66  | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.80/34.66  | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.80/34.66  | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.80/34.66  | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.80/34.66  | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.80/34.66  | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.80/34.66  | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5)))) |
% 197.80/34.66  | | | | | | | | | | | | | | |          (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.80/34.66  | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.80/34.66  | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.80/34.66  | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.66  | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.80/34.66  | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.80/34.66  | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.80/34.66  | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.80/34.66  | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | |   (139)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 =
% 197.80/34.66  | | | | | | | | | | | | | | | |                e3 & op(e2, e2) = e3) | ( ~ (all_57_0 = e2)
% 197.80/34.66  | | | | | | | | | | | | | | | |                & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.80/34.66  | | | | | | | | | | | | | | | |            ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | | |                (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 197.80/34.66  | | | | | | | | | | | | | | | |                $i(all_57_1))) & ((all_57_15 = e3 & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e3) = all_57_2 & $i(all_57_2)))) |
% 197.80/34.66  | | | | | | | | | | | | | | | |          (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | | | |                e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3)
% 197.80/34.66  | | | | | | | | | | | | | | | |                & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.80/34.66  | | | | | | | | | | | | | | | |            ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | | |                (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 197.80/34.66  | | | | | | | | | | | | | | | |                $i(all_57_4))) & ((all_57_15 = e2 & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e2) = all_57_5 & $i(all_57_5))))
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (23), (35), (37), (44), (47), (63),
% 197.80/34.66  | | | | | | | | | | | | | | | |            (87), (88), (93), (94), (95), (96), (99), (139)
% 197.80/34.66  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1870.
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | |   (140)  (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | | | |                e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3)
% 197.80/34.66  | | | | | | | | | | | | | | | |                & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.80/34.66  | | | | | | | | | | | | | | | |            ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | | |                (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.80/34.66  | | | | | | | | | | | | | | | |                $i(all_57_7))) & ((all_57_15 = e1 & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e0) = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e1) = all_57_8 & $i(all_57_8)))) |
% 197.80/34.66  | | | | | | | | | | | | | | | |          (all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | | | |                e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3)
% 197.80/34.66  | | | | | | | | | | | | | | | |                & op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.80/34.66  | | | | | | | | | | | | | | | |            ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | | |                (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.80/34.66  | | | | | | | | | | | | | | | |                $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | | | |                  e0) = all_57_13 & $i(all_57_13))))
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | |   (141)  all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | | | | |              e1 & op(e3, e3) = e1) | ( ~ (all_57_6 = e3) &
% 197.80/34.66  | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.80/34.66  | | | | | | | | | | | | | | | | |          ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | | | |              (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 197.80/34.66  | | | | | | | | | | | | | | | | |              $i(all_57_7))) & ((all_57_15 = e1 & op(e0, e0)
% 197.80/34.66  | | | | | | | | | | | | | | | | |              = e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 197.80/34.66  | | | | | | | | | | | | | | | | |              all_57_8 & $i(all_57_8)))
% 197.80/34.66  | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 197.80/34.66  | | | | | | | | | | | | | | | | |   (142)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7
% 197.80/34.66  | | | | | | | | | | | | | | | | |              = e2) & op(e2, e1) = all_57_7 & $i(all_57_7))
% 197.80/34.66  | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | REF_CLOSE: (114), (115), (142) are inconsistent by sub-proof
% 197.80/34.66  | | | | | | | | | | | | | | | | |            #1892.
% 197.80/34.66  | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | |   (143)  all_57_15 = e0 & op(e0, e0) = e0 & ((all_57_10 =
% 197.80/34.66  | | | | | | | | | | | | | | | | |              e0 & op(e3, e3) = e0) | ( ~ (all_57_9 = e3) &
% 197.80/34.66  | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_9 & $i(all_57_9))) &
% 197.80/34.66  | | | | | | | | | | | | | | | | |          ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~
% 197.80/34.66  | | | | | | | | | | | | | | | | |              (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.80/34.66  | | | | | | | | | | | | | | | | |              $i(all_57_11))) & ((all_57_14 = e0 & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | | | | |                e1) = e0) | ( ~ (all_57_13 = e1) & op(e1,
% 197.80/34.66  | | | | | | | | | | | | | | | | |                e0) = all_57_13 & $i(all_57_13)))
% 197.80/34.66  | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 197.80/34.66  | | | | | | | | | | | | | | | | |   (144)  (all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 197.80/34.66  | | | | | | | | | | | | | | | | |              = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))
% 197.80/34.66  | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | |   (145)  all_57_10 = e0 & op(e3, e3) = e0
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 197.80/34.66  | | | | | | | | | | | | | | | | | |   (146)  op(e3, e3) = e0
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (47), (146) are inconsistent by
% 197.80/34.66  | | | | | | | | | | | | | | | | | |            sub-proof #1937.
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_52_9, e2, e1, e2,
% 197.80/34.66  | | | | | | | | | | | | | | | | | |              simplifying with (59), (116) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | | | |   (147)  all_52_9 = e2
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with e0, all_57_12, e2, e2,
% 197.80/34.66  | | | | | | | | | | | | | | | | | |              simplifying with (64), (117) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | | | |   (148)  all_57_12 = e0
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with e0, all_57_6, e1, e3,
% 197.80/34.66  | | | | | | | | | | | | | | | | | |              simplifying with (52), (118) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | | | |   (149)  all_57_6 = e0
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_42_1, all_57_6, e1,
% 197.80/34.66  | | | | | | | | | | | | | | | | | |              e3, simplifying with (79), (118) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | | | |   (150)  all_57_6 = all_42_1
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (150) imply:
% 197.80/34.66  | | | | | | | | | | | | | | | | | |   (151)  all_42_1 = e0
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | REDUCE: (115), (148) imply:
% 197.80/34.66  | | | | | | | | | | | | | | | | | |   (152)   ~ (e1 = e0)
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | REDUCE: (13), (147) imply:
% 197.80/34.66  | | | | | | | | | | | | | | | | | |   (153)   ~ (all_52_1 = e2)
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | REDUCE: (80), (151) imply:
% 197.80/34.66  | | | | | | | | | | | | | | | | | |   (154)  op(e0, e3) = all_42_0
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | |   (155)  all_54_4 = e3
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4), (155) imply:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | |   (156)  all_52_1 = e3
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | REDUCE: (68), (156) imply:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | |   (157)  op(e2, e3) = e3
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | |   (158)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |   (159)  all_56_2 = e2 & op(e2, e3) = e2
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | ALPHA: (159) implies:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |   (160)  op(e2, e3) = e2
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (93), (157), (160) are inconsistent by
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1869.
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |   (161)  all_56_3 = e2 & op(e2, e2) = e2
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |   (162)  op(e2, e2) = e2
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17), (20), (31), (43), (47), (70), (88),
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |            (93), (94), (95), (106), (162) are inconsistent by
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1863.
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | |   (163)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |   (164)  all_56_5 = e2 & op(e2, e1) = e2
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |   (165)  all_56_5 = e2
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (16), (17), (20), (23), (36), (42),
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |            (43), (46), (47), (50), (53), (64), (78), (87),
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |            (88), (93), (94), (95), (154), (157), (165) are
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1834.
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |   (166)  all_56_10 = e2 & op(e2, e0) = e2
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |   (167)  op(e2, e0) = e2
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (29), (59), (65), (116), (167) are
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1887.
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | |   (168)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (41), (153), (168) are inconsistent by
% 197.80/34.66  | | | | | | | | | | | | | | | | | | |            sub-proof #1829.
% 197.80/34.66  | | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | |   (169)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 =
% 197.80/34.66  | | | | | | | | | | | |              e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 197.80/34.66  | | | | | | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.80/34.66  | | | | | | | | | | | |            all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.80/34.66  | | | | | | | | | | | |            $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0
% 197.80/34.66  | | | | | | | | | | | |            &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 197.80/34.66  | | | | | | | | | | | |            op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.80/34.66  | | | | | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.80/34.66  | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3
% 197.80/34.66  | | | | | | | | | | | |            & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.80/34.66  | | | | | | | | | | | |            (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 197.80/34.66  | | | | | | | | | | | |            op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.80/34.66  | | | | | | | | | | | |            all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.80/34.66  | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | | REF_CLOSE: (17), (47), (58), (60), (92), (169) are
% 197.80/34.66  | | | | | | | | | | | |            inconsistent by sub-proof #1828.
% 197.80/34.66  | | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | |   (170)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 =
% 197.80/34.66  | | | | | | | | | | |              e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.80/34.66  | | | | | | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 &
% 197.80/34.66  | | | | | | | | | | |            op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12))
% 197.80/34.66  | | | | | | | | | | |          | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9
% 197.80/34.66  | | | | | | | | | | |              = e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0
% 197.80/34.66  | | | | | | | | | | |            & op(e3, e0) = all_57_9 & op(e1, e1) = all_57_14
% 197.80/34.66  | | | | | | | | | | |            & op(e1, e0) = e1 & $i(all_57_9) &
% 197.80/34.66  | | | | | | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 =
% 197.80/34.66  | | | | | | | | | | |            e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) &
% 197.80/34.66  | | | | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.80/34.66  | | | | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.80/34.66  | | | | | | | | | | |            $i(all_57_12) & $i(all_57_13)) | (all_57_12 = e0
% 197.80/34.66  | | | | | | | | | | |            & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.80/34.66  | | | | | | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 197.80/34.66  | | | | | | | | | | |            = all_57_11 & op(e1, e1) = all_57_14 & op(e1,
% 197.80/34.66  | | | | | | | | | | |              e0) = e1 & $i(all_57_11) & $i(all_57_14)) |
% 197.80/34.66  | | | | | | | | | | |          (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.66  | | | | | | | | | | |            ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0
% 197.80/34.66  | | | | | | | | | | |                  = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.80/34.66  | | | | | | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0
% 197.80/34.66  | | | | | | | | | | |                & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 197.80/34.66  | | | | | | | | | | |                = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.80/34.66  | | | | | | | | | | |                  e3) & op(e1, e3) = all_57_1 & op(e1, e1) =
% 197.80/34.66  | | | | | | | | | | |                e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.80/34.66  | | | | | | | | | | |              (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.80/34.66  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.80/34.66  | | | | | | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0
% 197.80/34.66  | | | | | | | | | | |                & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.80/34.66  | | | | | | | | | | |                = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.80/34.66  | | | | | | | | | | |                  e2) & op(e1, e2) = all_57_4 & op(e1, e1) =
% 197.80/34.66  | | | | | | | | | | |                e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.80/34.66  | | | | | | | | | | |              (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.80/34.66  | | | | | | | | | | |                  = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.80/34.66  | | | | | | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0
% 197.80/34.66  | | | | | | | | | | |                & $i(all_57_6)) | (all_57_8 = e0 & all_57_12
% 197.80/34.66  | | | | | | | | | | |                = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.80/34.66  | | | | | | | | | | |                  e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.80/34.66  | | | | | | | | | | |                all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.80/34.66  | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | | REF_CLOSE: (1), (17), (20), (23), (24), (25), (28), (30),
% 197.80/34.66  | | | | | | | | | | |            (39), (40), (43), (47), (51), (54), (56), (61),
% 197.80/34.66  | | | | | | | | | | |            (64), (87), (88), (93), (94), (95), (96), (170)
% 197.80/34.66  | | | | | | | | | | |            are inconsistent by sub-proof #1805.
% 197.80/34.66  | | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | | 
% 197.80/34.66  | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | 
% 197.80/34.66  | | | | | | | | |   (171)  all_56_13 = e2 & op(e0, e2) = e2
% 197.80/34.66  | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | REF_CLOSE: (70), (87), (171) are inconsistent by sub-proof
% 197.80/34.66  | | | | | | | | |            #1924.
% 197.80/34.66  | | | | | | | | | 
% 197.80/34.66  | | | | | | | | End of split
% 197.80/34.66  | | | | | | | | 
% 197.80/34.66  | | | | | | | End of split
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | Case 2:
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | |   (172)  all_56_3 = e3 & op(e2, e2) = e3
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | | ALPHA: (172) implies:
% 197.80/34.66  | | | | | | |   (173)  op(e2, e2) = e3
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | | REF_CLOSE: (17), (20), (43), (173) are inconsistent by sub-proof
% 197.80/34.66  | | | | | | |            #1975.
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | End of split
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | Case 2:
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | |   (174)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 197.80/34.66  | | | | | |            op(e0, e2) = e3)
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | | BETA: splitting (174) gives:
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | | Case 1:
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | |   (175)  all_56_7 = e3 & op(e1, e2) = e3
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | | ALPHA: (175) implies:
% 197.80/34.66  | | | | | | |   (176)  all_56_7 = e3
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | | REF_CLOSE: (15), (17), (64), (70), (87), (88), (93), (96), (176)
% 197.80/34.66  | | | | | | |            are inconsistent by sub-proof #1923.
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | Case 2:
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | |   (177)  all_56_13 = e3 & op(e0, e2) = e3
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | | ALPHA: (177) implies:
% 197.80/34.66  | | | | | | |   (178)  all_56_13 = e3
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | | REF_CLOSE: (70), (94), (178) are inconsistent by sub-proof #1864.
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | End of split
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | End of split
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | Case 2:
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | |   (179)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | | REF_CLOSE: (27), (49), (66), (86), (179) are inconsistent by sub-proof
% 197.80/34.66  | | | | |            #1897.
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | End of split
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | Case 2:
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | |   (180)  all_54_9 = e1 | all_54_9 = e0
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | | REF_CLOSE: (8), (26), (67), (180) are inconsistent by sub-proof #1802.
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | End of split
% 197.80/34.66  | | | 
% 197.80/34.66  | | End of split
% 197.80/34.66  | | 
% 197.80/34.66  | Case 2:
% 197.80/34.66  | | 
% 197.80/34.66  | |   (181)   ~ (all_42_1 = e0) & op(e3, e1) = all_42_1 & $i(all_42_1)
% 197.80/34.66  | | 
% 197.80/34.66  | | ALPHA: (181) implies:
% 197.80/34.66  | |   (182)   ~ (all_42_1 = e0)
% 197.80/34.66  | |   (183)  op(e3, e1) = all_42_1
% 197.80/34.66  | | 
% 197.80/34.66  | | BETA: splitting (69) gives:
% 197.80/34.66  | | 
% 197.80/34.66  | | Case 1:
% 197.80/34.66  | | | 
% 197.80/34.66  | | |   (184)  all_54_9 = e3
% 197.80/34.66  | | | 
% 197.80/34.66  | | | REF_CLOSE: (45), (73), (184) are inconsistent by sub-proof #1899.
% 197.80/34.66  | | | 
% 197.80/34.66  | | Case 2:
% 197.80/34.66  | | | 
% 197.80/34.66  | | |   (185)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 197.80/34.66  | | | 
% 197.80/34.66  | | | BETA: splitting (185) gives:
% 197.80/34.66  | | | 
% 197.80/34.66  | | | Case 1:
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | |   (186)  all_54_9 = e2
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | | COMBINE_EQS: (73), (186) imply:
% 197.80/34.66  | | | |   (187)  all_32_0 = e2
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | | SIMP: (187) implies:
% 197.80/34.66  | | | |   (188)  all_32_0 = e2
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | | REDUCE: (74), (188) imply:
% 197.80/34.66  | | | |   (189)   ~ (all_52_4 = e2)
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | | REDUCE: (75), (188) imply:
% 197.80/34.66  | | | |   (190)   ~ (e2 = e1)
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | | REDUCE: (76), (188) imply:
% 197.80/34.66  | | | |   (191)   ~ (e2 = e0)
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | | BETA: splitting (55) gives:
% 197.80/34.66  | | | | 
% 197.80/34.66  | | | | Case 1:
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | |   (192)  all_54_1 = e3
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | | COMBINE_EQS: (66), (192) imply:
% 197.80/34.66  | | | | |   (193)  all_52_4 = e3
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | | REDUCE: (32), (193) imply:
% 197.80/34.66  | | | | |   (194)   ~ (all_52_12 = e3)
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | | SIMP: (194) implies:
% 197.80/34.66  | | | | |   (195)   ~ (all_52_12 = e3)
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | | REDUCE: (189), (193) imply:
% 197.80/34.66  | | | | |   (196)   ~ (e3 = e2)
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | | REDUCE: (49), (193) imply:
% 197.80/34.66  | | | | |   (197)   ~ (e3 = e1)
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | | REDUCE: (27), (193) imply:
% 197.80/34.66  | | | | |   (198)   ~ (e3 = e0)
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | | REDUCE: (19), (193) imply:
% 197.80/34.66  | | | | |   (199)  op(e3, e2) = e3
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | | BETA: splitting (34) gives:
% 197.80/34.66  | | | | | 
% 197.80/34.66  | | | | | Case 1:
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | |   (200)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.80/34.66  | | | | | |            (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 197.80/34.66  | | | | | |            all_57_12 & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.80/34.66  | | | | | |            $i(all_57_1) & $i(all_57_12)) | (all_57_0 = e2 &
% 197.80/34.66  | | | | | |            all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3)
% 197.80/34.66  | | | | | |            & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.80/34.66  | | | | | |            all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.80/34.66  | | | | | |            $i(all_57_12)) | (all_57_1 = e1 & all_57_12 = e3 &  ~
% 197.80/34.66  | | | | | |            (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3) =
% 197.80/34.66  | | | | | |            all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1)
% 197.80/34.66  | | | | | |            = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 =
% 197.80/34.66  | | | | | |            e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 197.80/34.66  | | | | | |              = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 &
% 197.80/34.66  | | | | | |            op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.80/34.66  | | | | | |            $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.80/34.66  | | | | | |            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) =
% 197.80/34.66  | | | | | |            all_57_10 & op(e3, e2) = e3 & op(e1, e2) = all_57_4 &
% 197.80/34.66  | | | | | |            op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.80/34.66  | | | | | |          (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.80/34.66  | | | | | |            (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) =
% 197.80/34.66  | | | | | |            e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.80/34.66  | | | | | |            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 &
% 197.80/34.66  | | | | | |            all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 = e2)
% 197.80/34.66  | | | | | |            & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 197.80/34.66  | | | | | |            e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.80/34.66  | | | | | |            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~
% 197.80/34.66  | | | | | |            (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 &
% 197.80/34.66  | | | | | |            op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.80/34.66  | | | | | |              e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 =
% 197.80/34.66  | | | | | |            e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.80/34.66  | | | | | |              = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.80/34.66  | | | | | |            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.80/34.66  | | | | | |            $i(all_57_10))
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | | REF_CLOSE: (1), (2), (6), (17), (20), (43), (47), (57), (60), (64),
% 197.80/34.66  | | | | | |            (67), (190), (191), (197), (198), (200) are inconsistent
% 197.80/34.66  | | | | | |            by sub-proof #1894.
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | Case 2:
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | |   (201)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.80/34.66  | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) =
% 197.80/34.66  | | | | | |            e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.80/34.66  | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 197.80/34.66  | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1)
% 197.80/34.66  | | | | | |            & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.80/34.66  | | | | | |            all_57_12 & op(e2, e1) = e2 & $i(all_57_6) &
% 197.80/34.66  | | | | | |            $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 197.80/34.66  | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 197.80/34.66  | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 197.80/34.66  | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.80/34.66  | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.80/34.66  | | | | | |            (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) =
% 197.80/34.66  | | | | | |            e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.80/34.66  | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.80/34.66  | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 197.80/34.66  | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1,
% 197.80/34.66  | | | | | |              e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.80/34.66  | | | | | |            $i(all_57_13)) | (all_57_10 = e0 & all_57_11 = e2 &  ~
% 197.80/34.66  | | | | | |            (all_57_9 = e3) &  ~ (all_57_12 = e0) & op(e3, e3) = e0 &
% 197.80/34.66  | | | | | |            op(e3, e0) = all_57_9 & op(e2, e2) = all_57_12 & op(e2,
% 197.80/34.66  | | | | | |              e0) = e2 & $i(all_57_9) & $i(all_57_12)) | (all_57_10 =
% 197.80/34.66  | | | | | |            e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 197.80/34.66  | | | | | |              = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.80/34.66  | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9) &
% 197.80/34.66  | | | | | |            $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 &  ~
% 197.80/34.66  | | | | | |            (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.80/34.66  | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 197.80/34.66  | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.80/34.66  | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.80/34.66  | | | | | |            (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.80/34.66  | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.80/34.66  | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15
% 197.80/34.66  | | | | | |            & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 197.80/34.66  | | | | | |                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) =
% 197.80/34.66  | | | | | |                all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.80/34.66  | | | | | |                $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.80/34.66  | | | | | |                (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.80/34.66  | | | | | |                all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.80/34.66  | | | | | |                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.80/34.66  | | | | | |                (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) =
% 197.80/34.66  | | | | | |                e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.80/34.66  | | | | | |                $i(all_57_3)) | (all_57_5 = e0 & all_57_14 = e2 &  ~
% 197.80/34.66  | | | | | |                (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.80/34.66  | | | | | |                all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.80/34.66  | | | | | |                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.80/34.66  | | | | | |                (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) =
% 197.80/34.66  | | | | | |                e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.80/34.66  | | | | | |                $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.80/34.66  | | | | | |                (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 197.80/34.66  | | | | | |                e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.80/34.66  | | | | | |                $i(all_57_7))))
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | | BETA: splitting (201) gives:
% 197.80/34.66  | | | | | | 
% 197.80/34.66  | | | | | | Case 1:
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | |   (202)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.80/34.66  | | | | | | |            (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1)
% 197.80/34.66  | | | | | | |            = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1 &
% 197.80/34.66  | | | | | | |            $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 197.80/34.66  | | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.80/34.66  | | | | | | |              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.80/34.66  | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 & $i(all_57_6)
% 197.80/34.66  | | | | | | |            & $i(all_57_12)) | (all_57_7 = e2 & all_57_15 = e1 &  ~
% 197.80/34.66  | | | | | | |            (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2) =
% 197.80/34.66  | | | | | | |            all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 &
% 197.80/34.66  | | | | | | |            op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.80/34.66  | | | | | | |          (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) & 
% 197.80/34.66  | | | | | | |            ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.80/34.66  | | | | | | |              e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.80/34.66  | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.80/34.66  | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 =
% 197.80/34.66  | | | | | | |              e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.80/34.66  | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.80/34.66  | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | | BETA: splitting (202) gives:
% 197.80/34.66  | | | | | | | 
% 197.80/34.66  | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | 
% 197.80/34.66  | | | | | | | |   (203)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) & 
% 197.80/34.66  | | | | | | | |            ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 197.80/34.66  | | | | | | | |              e1) = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 197.80/34.66  | | | | | | | |            & $i(all_57_8) & $i(all_57_10)) | (all_57_7 = e2 &
% 197.80/34.66  | | | | | | | |            all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.80/34.66  | | | | | | | |              e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.80/34.66  | | | | | | | |            op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.80/34.66  | | | | | | | |            $i(all_57_6) & $i(all_57_12))
% 197.80/34.66  | | | | | | | | 
% 197.80/34.66  | | | | | | | | BETA: splitting (203) gives:
% 197.80/34.66  | | | | | | | | 
% 197.80/34.66  | | | | | | | | Case 1:
% 197.80/34.66  | | | | | | | | | 
% 197.80/34.66  | | | | | | | | |   (204)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &
% 197.80/34.66  | | | | | | | | |           ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 197.80/34.66  | | | | | | | | |            e1) = e3 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 197.80/34.66  | | | | | | | | |          & $i(all_57_8) & $i(all_57_10)
% 197.80/34.66  | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | ALPHA: (204) implies:
% 197.80/34.66  | | | | | | | | |   (205)  op(e0, e0) = e1
% 197.80/34.66  | | | | | | | | | 
% 197.80/34.66  | | | | | | | | | REF_CLOSE: (17), (47), (60), (205) are inconsistent by
% 197.80/34.66  | | | | | | | | |            sub-proof #1943.
% 197.80/34.66  | | | | | | | | | 
% 197.80/34.66  | | | | | | | | Case 2:
% 197.80/34.66  | | | | | | | | | 
% 197.80/34.67  | | | | | | | | |   (206)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &
% 197.80/34.67  | | | | | | | | |           ~ (all_57_12 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.80/34.67  | | | | | | | | |          all_57_6 & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.80/34.67  | | | | | | | | |          $i(all_57_6) & $i(all_57_12)
% 197.80/34.67  | | | | | | | | | 
% 197.80/34.67  | | | | | | | | | ALPHA: (206) implies:
% 197.80/34.67  | | | | | | | | |   (207)  op(e3, e1) = all_57_6
% 197.80/34.67  | | | | | | | | | 
% 197.80/34.67  | | | | | | | | | GROUND_INST: instantiating (17) with e0, all_57_6, e1, e3,
% 197.80/34.67  | | | | | | | | |              simplifying with (52), (207) gives:
% 197.80/34.67  | | | | | | | | |   (208)  all_57_6 = e0
% 197.80/34.67  | | | | | | | | | 
% 197.80/34.67  | | | | | | | | | GROUND_INST: instantiating (17) with all_42_1, all_57_6, e1,
% 197.80/34.67  | | | | | | | | |              e3, simplifying with (183), (207) gives:
% 197.80/34.67  | | | | | | | | |   (209)  all_57_6 = all_42_1
% 197.80/34.67  | | | | | | | | | 
% 197.80/34.67  | | | | | | | | | COMBINE_EQS: (208), (209) imply:
% 197.80/34.67  | | | | | | | | |   (210)  all_42_1 = e0
% 197.80/34.67  | | | | | | | | | 
% 197.80/34.67  | | | | | | | | | REDUCE: (182), (210) imply:
% 197.80/34.67  | | | | | | | | |   (211)  $false
% 197.80/34.67  | | | | | | | | | 
% 197.80/34.67  | | | | | | | | | CLOSE: (211) is inconsistent.
% 197.80/34.67  | | | | | | | | | 
% 197.80/34.67  | | | | | | | | End of split
% 197.80/34.67  | | | | | | | | 
% 197.80/34.67  | | | | | | | Case 2:
% 197.80/34.67  | | | | | | | | 
% 197.80/34.67  | | | | | | | |   (212)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) & 
% 197.80/34.67  | | | | | | | |            ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2,
% 197.80/34.67  | | | | | | | |              e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 197.80/34.67  | | | | | | | |            & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 &
% 197.80/34.67  | | | | | | | |            all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 197.80/34.67  | | | | | | | |              = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.80/34.67  | | | | | | | |            op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.80/34.67  | | | | | | | |            $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.80/34.67  | | | | | | | |            all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 197.80/34.67  | | | | | | | |              = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.80/34.67  | | | | | | | |            op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.80/34.67  | | | | | | | |            $i(all_57_10) & $i(all_57_13))
% 197.80/34.67  | | | | | | | | 
% 197.80/34.67  | | | | | | | | REF_CLOSE: (17), (47), (58), (60), (195), (212) are inconsistent
% 197.80/34.67  | | | | | | | |            by sub-proof #1828.
% 197.80/34.67  | | | | | | | | 
% 197.80/34.67  | | | | | | | End of split
% 197.80/34.67  | | | | | | | 
% 197.80/34.67  | | | | | | Case 2:
% 197.80/34.67  | | | | | | | 
% 197.80/34.67  | | | | | | |   (213)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) & 
% 197.80/34.67  | | | | | | |            ~ (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.80/34.67  | | | | | | |            all_57_9 & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.80/34.67  | | | | | | |            $i(all_57_9) & $i(all_57_12)) | (all_57_10 = e0 &
% 197.80/34.67  | | | | | | |            all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 197.80/34.67  | | | | | | |              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.80/34.67  | | | | | | |            op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 197.80/34.67  | | | | | | |            & $i(all_57_14)) | (all_57_11 = e2 & all_57_14 = e0 & 
% 197.80/34.67  | | | | | | |            ~ (all_57_12 = e0) &  ~ (all_57_13 = e1) & op(e2, e2) =
% 197.80/34.67  | | | | | | |            all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1,
% 197.80/34.67  | | | | | | |              e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) |
% 197.80/34.67  | | | | | | |          (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) & 
% 197.80/34.67  | | | | | | |            ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.80/34.67  | | | | | | |            all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.80/34.67  | | | | | | |            $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.80/34.67  | | | | | | |            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12
% 197.80/34.67  | | | | | | |                = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.80/34.67  | | | | | | |                op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0,
% 197.80/34.67  | | | | | | |                  e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 &
% 197.80/34.67  | | | | | | |                all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 197.80/34.67  | | | | | | |                  = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.80/34.67  | | | | | | |                op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.80/34.67  | | | | | | |                all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15
% 197.80/34.67  | | | | | | |                  = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.80/34.67  | | | | | | |                op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.80/34.67  | | | | | | |                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.80/34.67  | | | | | | |                  = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.80/34.67  | | | | | | |                op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.80/34.67  | | | | | | |                all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 197.80/34.67  | | | | | | |                  = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.80/34.67  | | | | | | |                op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.80/34.67  | | | | | | |                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15
% 197.80/34.67  | | | | | | |                  = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.80/34.67  | | | | | | |                op(e0, e1) = e0 & $i(all_57_7))))
% 197.80/34.67  | | | | | | | 
% 197.80/34.67  | | | | | | | REF_CLOSE: (1), (17), (20), (23), (24), (25), (28), (30), (39),
% 197.80/34.67  | | | | | | |            (40), (43), (47), (51), (54), (56), (61), (64), (190),
% 197.80/34.67  | | | | | | |            (191), (196), (197), (198), (199), (213) are
% 197.80/34.67  | | | | | | |            inconsistent by sub-proof #1805.
% 197.80/34.67  | | | | | | | 
% 197.80/34.67  | | | | | | End of split
% 197.80/34.67  | | | | | | 
% 197.80/34.67  | | | | | End of split
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | Case 2:
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | |   (214)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | | REF_CLOSE: (27), (49), (66), (189), (214) are inconsistent by
% 197.80/34.67  | | | | |            sub-proof #1897.
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | End of split
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | Case 2:
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | |   (215)  all_54_9 = e1 | all_54_9 = e0
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | | REF_CLOSE: (8), (26), (67), (215) are inconsistent by sub-proof #1802.
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | End of split
% 197.80/34.67  | | | 
% 197.80/34.67  | | End of split
% 197.80/34.67  | | 
% 197.80/34.67  | End of split
% 197.80/34.67  | 
% 197.80/34.67  End of proof
% 197.80/34.67  
% 197.80/34.67  Sub-proof #1802 shows that the following formulas are inconsistent:
% 197.80/34.67  ----------------------------------------------------------------
% 197.80/34.67    (1)  all_54_9 = e1 | all_54_9 = e0
% 197.80/34.67    (2)  all_54_9 = all_52_6
% 197.80/34.67    (3)   ~ (all_52_6 = e1)
% 197.80/34.67    (4)   ~ (all_52_6 = e0)
% 197.80/34.67  
% 197.80/34.67  Begin of proof
% 197.80/34.67  | 
% 197.80/34.67  | BETA: splitting (1) gives:
% 197.80/34.67  | 
% 197.80/34.67  | Case 1:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (5)  all_54_9 = e1
% 197.80/34.67  | | 
% 197.80/34.67  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1804.
% 197.80/34.67  | | 
% 197.80/34.67  | Case 2:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (6)  all_54_9 = e0
% 197.80/34.67  | | 
% 197.80/34.67  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1803.
% 197.80/34.67  | | 
% 197.80/34.67  | End of split
% 197.80/34.67  | 
% 197.80/34.67  End of proof
% 197.80/34.67  
% 197.80/34.67  Sub-proof #1803 shows that the following formulas are inconsistent:
% 197.80/34.67  ----------------------------------------------------------------
% 197.80/34.67    (1)  all_54_9 = all_52_6
% 197.80/34.67    (2)  all_54_9 = e0
% 197.80/34.67    (3)   ~ (all_52_6 = e0)
% 197.80/34.67  
% 197.80/34.67  Begin of proof
% 197.80/34.67  | 
% 197.80/34.67  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.67  |   (4)  all_52_6 = e0
% 197.80/34.67  | 
% 197.80/34.67  | SIMP: (4) implies:
% 197.80/34.67  |   (5)  all_52_6 = e0
% 197.80/34.67  | 
% 197.80/34.67  | REDUCE: (3), (5) imply:
% 197.80/34.67  |   (6)  $false
% 197.80/34.67  | 
% 197.80/34.67  | CLOSE: (6) is inconsistent.
% 197.80/34.67  | 
% 197.80/34.67  End of proof
% 197.80/34.67  
% 197.80/34.67  Sub-proof #1804 shows that the following formulas are inconsistent:
% 197.80/34.67  ----------------------------------------------------------------
% 197.80/34.67    (1)  all_54_9 = all_52_6
% 197.80/34.67    (2)  all_54_9 = e1
% 197.80/34.67    (3)   ~ (all_52_6 = e1)
% 197.80/34.67  
% 197.80/34.67  Begin of proof
% 197.80/34.67  | 
% 197.80/34.67  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.67  |   (4)  all_52_6 = e1
% 197.80/34.67  | 
% 197.80/34.67  | SIMP: (4) implies:
% 197.80/34.67  |   (5)  all_52_6 = e1
% 197.80/34.67  | 
% 197.80/34.67  | REDUCE: (3), (5) imply:
% 197.80/34.67  |   (6)  $false
% 197.80/34.67  | 
% 197.80/34.67  | CLOSE: (6) is inconsistent.
% 197.80/34.67  | 
% 197.80/34.67  End of proof
% 197.80/34.67  
% 197.80/34.67  Sub-proof #1805 shows that the following formulas are inconsistent:
% 197.80/34.67  ----------------------------------------------------------------
% 197.80/34.67    (1)  op(e1, e1) = e1
% 197.80/34.67    (2)   ~ (e3 = e2)
% 197.80/34.67    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.67    (4)  op(e2, e2) = all_4_2
% 197.80/34.67    (5)  op(e3, e3) = e1
% 197.80/34.67    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.80/34.67         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.67    (7)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.80/34.67         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.80/34.67    (8)  op(e0, e3) = all_52_3
% 197.80/34.67    (9)  op(e1, e0) = all_52_14
% 197.80/34.67    (10)  op(e0, e1) = all_52_11
% 197.80/34.67    (11)   ~ (all_52_14 = e1)
% 197.80/34.67    (12)   ~ (all_4_2 = e3)
% 197.80/34.67    (13)  op(e3, e2) = e3
% 197.80/34.67    (14)   ~ (e1 = e0)
% 197.80/34.67    (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.80/34.67          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.80/34.67    (16)   ~ (e2 = e1)
% 197.80/34.67    (17)   ~ (all_52_11 = e0)
% 197.80/34.67    (18)   ~ (all_52_3 = e0)
% 197.80/34.67    (19)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 197.80/34.67              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 197.80/34.67            all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.80/34.67          (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 197.80/34.67              e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 197.80/34.67            all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)) |
% 197.80/34.67          (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~ (all_57_13 =
% 197.80/34.67              e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 197.80/34.67            op(e1, e0) = all_57_13 & $i(all_57_12) & $i(all_57_13)) | (all_57_12 =
% 197.80/34.67            e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~ (all_57_14 = e0) &
% 197.80/34.67            op(e2, e2) = e0 & op(e2, e0) = all_57_11 & op(e1, e1) = all_57_14 &
% 197.80/34.67            op(e1, e0) = e1 & $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) =
% 197.80/34.67            all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~
% 197.80/34.67                (all_57_0 = e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 &
% 197.80/34.67                op(e2, e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.80/34.67                & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.80/34.67                op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.80/34.67                $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 =
% 197.80/34.67                  e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.80/34.67                all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.80/34.67                all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1,
% 197.80/34.67                  e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.80/34.67                $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 =
% 197.80/34.67                  e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.80/34.67                all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.80/34.67                all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2,
% 197.80/34.67                  e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.80/34.67                $i(all_57_7))))
% 197.80/34.67    (20)  all_56_4 = e0
% 197.80/34.67    (21)  op(e2, e2) = e0
% 197.80/34.67    (22)   ~ (e3 = e1)
% 197.80/34.67    (23)   ~ (e2 = e0)
% 197.80/34.67    (24)   ~ (e3 = e0)
% 197.80/34.67  
% 197.80/34.67  Begin of proof
% 197.80/34.67  | 
% 197.80/34.67  | BETA: splitting (19) gives:
% 197.80/34.67  | 
% 197.80/34.67  | Case 1:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (25)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~
% 197.80/34.67  | |           (all_57_12 = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 &
% 197.80/34.67  | |           op(e2, e2) = all_57_12 & op(e2, e0) = e2 & $i(all_57_9) &
% 197.80/34.67  | |           $i(all_57_12)) | (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 =
% 197.80/34.67  | |             e3) &  ~ (all_57_14 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 197.80/34.67  | |           all_57_9 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_9)
% 197.80/34.67  | |           & $i(all_57_14))
% 197.80/34.67  | | 
% 197.80/34.67  | | REF_CLOSE: (3), (5), (14), (25) are inconsistent by sub-proof #1936.
% 197.80/34.67  | | 
% 197.80/34.67  | Case 2:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (26)  (all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.80/34.67  | |           (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.80/34.67  | |           op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.80/34.67  | |           $i(all_57_13)) | (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11
% 197.80/34.67  | |             = e2) &  ~ (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) =
% 197.80/34.67  | |           all_57_11 & op(e1, e1) = all_57_14 & op(e1, e0) = e1 &
% 197.80/34.67  | |           $i(all_57_11) & $i(all_57_14)) | (op(e0, e0) = all_57_15 &
% 197.80/34.67  | |           $i(all_57_15) & ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 =
% 197.80/34.67  | |                 e2) &  ~ (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2,
% 197.80/34.67  | |                 e2) = e3 & op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0
% 197.80/34.67  | |               & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) &
% 197.80/34.67  | |               op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.80/34.67  | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3
% 197.80/34.67  | |                 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.80/34.67  | |               all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 &
% 197.80/34.67  | |               all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) &
% 197.80/34.67  | |               op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.80/34.67  | |               $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6
% 197.80/34.67  | |                 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) =
% 197.80/34.67  | |               all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 &
% 197.80/34.67  | |               all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.80/34.67  | |               op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.80/34.67  | |               $i(all_57_7))))
% 197.80/34.67  | | 
% 197.80/34.67  | | BETA: splitting (26) gives:
% 197.80/34.67  | | 
% 197.80/34.67  | | Case 1:
% 197.80/34.67  | | | 
% 197.80/34.67  | | |   (27)  all_57_11 = e2 & all_57_14 = e0 &  ~ (all_57_12 = e0) &  ~
% 197.80/34.67  | | |         (all_57_13 = e1) & op(e2, e2) = all_57_12 & op(e2, e0) = e2 &
% 197.80/34.67  | | |         op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_12) &
% 197.80/34.67  | | |         $i(all_57_13)
% 197.80/34.67  | | | 
% 197.80/34.67  | | | ALPHA: (27) implies:
% 197.80/34.67  | | |   (28)  op(e1, e1) = e0
% 197.80/34.67  | | | 
% 197.80/34.67  | | | REF_CLOSE: (2), (3), (6), (7), (14), (15), (16), (20), (22), (23), (24),
% 197.80/34.67  | | |            (28) are inconsistent by sub-proof #1809.
% 197.80/34.67  | | | 
% 197.80/34.67  | | Case 2:
% 197.80/34.67  | | | 
% 197.80/34.67  | | |   (29)  (all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.80/34.67  | | |           (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.80/34.67  | | |           op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.80/34.67  | | |           $i(all_57_14)) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 197.80/34.67  | | |           ((all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.80/34.67  | | |               (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.80/34.67  | | |               op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 197.80/34.67  | | |               = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3)
% 197.80/34.67  | | |               = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.80/34.67  | | |               $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.80/34.67  | | |               (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.80/34.67  | | |               op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) |
% 197.80/34.67  | | |             (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.80/34.67  | | |               (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.80/34.67  | | |               op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 197.80/34.67  | | |               = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.80/34.67  | | |               = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.80/34.67  | | |               $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.80/34.67  | | |               (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.80/34.67  | | |               op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))))
% 197.80/34.67  | | | 
% 197.80/34.67  | | | BETA: splitting (29) gives:
% 197.80/34.67  | | | 
% 197.80/34.67  | | | Case 1:
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | |   (30)  all_57_12 = e0 & all_57_13 = e1 &  ~ (all_57_11 = e2) &  ~
% 197.80/34.67  | | | |         (all_57_14 = e0) & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.80/34.67  | | | |         op(e1, e1) = all_57_14 & op(e1, e0) = e1 & $i(all_57_11) &
% 197.80/34.67  | | | |         $i(all_57_14)
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | | ALPHA: (30) implies:
% 197.80/34.67  | | | |   (31)  op(e1, e0) = e1
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | | REF_CLOSE: (3), (9), (11), (31) are inconsistent by sub-proof #1958.
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | Case 2:
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | |   (32)  op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 &
% 197.80/34.67  | | | |             all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 = e3) &
% 197.80/34.67  | | | |             op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.80/34.67  | | | |             $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.80/34.67  | | | |             (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.80/34.67  | | | |             all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1))
% 197.80/34.67  | | | |           | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.80/34.67  | | | |             (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.80/34.67  | | | |             op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.80/34.67  | | | |             = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2)
% 197.80/34.67  | | | |             = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.80/34.67  | | | |             $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.80/34.67  | | | |             (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 &
% 197.80/34.67  | | | |             op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.80/34.67  | | | |           (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.80/34.67  | | | |             (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.80/34.67  | | | |             op(e0, e1) = e0 & $i(all_57_7)))
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | | ALPHA: (32) implies:
% 197.80/34.67  | | | |   (33)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.80/34.67  | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.80/34.67  | | | |           op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 =
% 197.80/34.67  | | | |           e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) =
% 197.80/34.67  | | | |           all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) |
% 197.80/34.67  | | | |         (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.80/34.67  | | | |           (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.80/34.67  | | | |           op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14 =
% 197.80/34.67  | | | |           e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) =
% 197.80/34.67  | | | |           all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) |
% 197.80/34.67  | | | |         (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.80/34.67  | | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.80/34.67  | | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.80/34.67  | | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) =
% 197.80/34.67  | | | |           e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | | BETA: splitting (33) gives:
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | | Case 1:
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | |   (34)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.80/34.67  | | | | |           (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.80/34.67  | | | | |           op(e0, e3) = e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14
% 197.80/34.67  | | | | |           = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3)
% 197.80/34.67  | | | | |           = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.80/34.67  | | | | |           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.80/34.67  | | | | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 &
% 197.80/34.67  | | | | |           op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | | BETA: splitting (34) gives:
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | | Case 1:
% 197.80/34.67  | | | | | | 
% 197.80/34.67  | | | | | |   (35)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.80/34.67  | | | | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.80/34.67  | | | | | |         op(e0, e3) = e0 & $i(all_57_0)
% 197.80/34.67  | | | | | | 
% 197.80/34.67  | | | | | | ALPHA: (35) implies:
% 197.80/34.67  | | | | | |   (36)  op(e2, e2) = e3
% 197.80/34.67  | | | | | | 
% 197.80/34.67  | | | | | | REF_CLOSE: (3), (4), (12), (36) are inconsistent by sub-proof #1975.
% 197.80/34.67  | | | | | | 
% 197.80/34.67  | | | | | Case 2:
% 197.80/34.67  | | | | | | 
% 197.80/34.67  | | | | | |   (37)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.80/34.67  | | | | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3
% 197.80/34.67  | | | | | |           & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 &
% 197.80/34.67  | | | | | |           all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2)
% 197.80/34.67  | | | | | |           & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) =
% 197.80/34.67  | | | | | |           e0 & $i(all_57_3))
% 197.80/34.67  | | | | | | 
% 197.80/34.67  | | | | | | REF_CLOSE: (3), (8), (13), (18), (37) are inconsistent by sub-proof
% 197.80/34.67  | | | | | |            #1808.
% 197.80/34.67  | | | | | | 
% 197.80/34.67  | | | | | End of split
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | Case 2:
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | |   (38)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.80/34.67  | | | | |           (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.80/34.67  | | | | |           op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10
% 197.80/34.67  | | | | |           = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.80/34.67  | | | | |           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.80/34.67  | | | | |           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.80/34.67  | | | | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 &
% 197.80/34.67  | | | | |           op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | | REF_CLOSE: (1), (3), (10), (14), (16), (17), (21), (38) are
% 197.80/34.67  | | | | |            inconsistent by sub-proof #1806.
% 197.80/34.67  | | | | | 
% 197.80/34.67  | | | | End of split
% 197.80/34.67  | | | | 
% 197.80/34.67  | | | End of split
% 197.80/34.67  | | | 
% 197.80/34.67  | | End of split
% 197.80/34.67  | | 
% 197.80/34.67  | End of split
% 197.80/34.67  | 
% 197.80/34.67  End of proof
% 197.80/34.67  
% 197.80/34.67  Sub-proof #1806 shows that the following formulas are inconsistent:
% 197.80/34.67  ----------------------------------------------------------------
% 197.80/34.67    (1)  op(e1, e1) = e1
% 197.80/34.67    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.67    (3)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.80/34.67             e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.80/34.67           $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) & 
% 197.80/34.67           ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0,
% 197.80/34.67             e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.80/34.67           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) =
% 197.80/34.67           all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.80/34.67    (4)  op(e0, e1) = all_52_11
% 197.80/34.67    (5)   ~ (e1 = e0)
% 197.80/34.67    (6)   ~ (e2 = e1)
% 197.80/34.67    (7)   ~ (all_52_11 = e0)
% 197.80/34.67    (8)  op(e2, e2) = e0
% 197.80/34.67  
% 197.80/34.67  Begin of proof
% 197.80/34.67  | 
% 197.80/34.67  | BETA: splitting (3) gives:
% 197.80/34.67  | 
% 197.80/34.67  | Case 1:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (9)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 =
% 197.80/34.67  | |          e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 197.80/34.67  | |        $i(all_57_4)
% 197.80/34.67  | | 
% 197.80/34.67  | | ALPHA: (9) implies:
% 197.80/34.67  | |   (10)  op(e1, e1) = e2
% 197.80/34.67  | | 
% 197.80/34.67  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1955.
% 197.80/34.67  | | 
% 197.80/34.67  | Case 2:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (11)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15
% 197.80/34.67  | |             = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) =
% 197.80/34.67  | |           e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~
% 197.80/34.67  | |           (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2,
% 197.80/34.67  | |             e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.80/34.67  | | 
% 197.80/34.67  | | REF_CLOSE: (2), (4), (5), (7), (8), (11) are inconsistent by sub-proof
% 197.80/34.67  | |            #1807.
% 197.80/34.67  | | 
% 197.80/34.67  | End of split
% 197.80/34.67  | 
% 197.80/34.67  End of proof
% 197.80/34.67  
% 197.80/34.67  Sub-proof #1807 shows that the following formulas are inconsistent:
% 197.80/34.67  ----------------------------------------------------------------
% 197.80/34.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.67    (2)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.80/34.67             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.80/34.67           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 197.80/34.67           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 197.80/34.67             e1) = e0 & $i(all_57_7))
% 197.80/34.67    (3)  op(e0, e1) = all_52_11
% 197.80/34.67    (4)   ~ (e1 = e0)
% 197.80/34.67    (5)   ~ (all_52_11 = e0)
% 197.80/34.67    (6)  op(e2, e2) = e0
% 197.80/34.67  
% 197.80/34.67  Begin of proof
% 197.80/34.67  | 
% 197.80/34.67  | BETA: splitting (2) gives:
% 197.80/34.67  | 
% 197.80/34.67  | Case 1:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.80/34.67  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.80/34.67  | |        $i(all_57_6)
% 197.80/34.67  | | 
% 197.80/34.67  | | ALPHA: (7) implies:
% 197.80/34.67  | |   (8)  op(e0, e1) = e0
% 197.80/34.67  | | 
% 197.80/34.67  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1931.
% 197.80/34.67  | | 
% 197.80/34.67  | Case 2:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.80/34.67  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.80/34.67  | |        $i(all_57_7)
% 197.80/34.67  | | 
% 197.80/34.67  | | ALPHA: (9) implies:
% 197.80/34.67  | |   (10)  op(e2, e2) = e1
% 197.80/34.67  | | 
% 197.80/34.67  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1909.
% 197.80/34.67  | | 
% 197.80/34.67  | End of split
% 197.80/34.67  | 
% 197.80/34.67  End of proof
% 197.80/34.67  
% 197.80/34.67  Sub-proof #1808 shows that the following formulas are inconsistent:
% 197.80/34.67  ----------------------------------------------------------------
% 197.80/34.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.67    (2)  op(e0, e3) = all_52_3
% 197.80/34.67    (3)  op(e3, e2) = e3
% 197.80/34.67    (4)   ~ (all_52_3 = e0)
% 197.80/34.67    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.80/34.67             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.80/34.67           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.80/34.67           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 197.80/34.67             e2) = e0 & $i(all_57_3))
% 197.80/34.67  
% 197.80/34.67  Begin of proof
% 197.80/34.67  | 
% 197.80/34.67  | BETA: splitting (5) gives:
% 197.80/34.67  | 
% 197.80/34.67  | Case 1:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (6)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.80/34.67  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.80/34.67  | |        $i(all_57_1)
% 197.80/34.67  | | 
% 197.80/34.67  | | ALPHA: (6) implies:
% 197.80/34.67  | |   (7)  op(e0, e3) = e0
% 197.80/34.67  | | 
% 197.80/34.67  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1935.
% 197.80/34.67  | | 
% 197.80/34.67  | Case 2:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (8)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.80/34.67  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.80/34.67  | |        $i(all_57_3)
% 197.80/34.67  | | 
% 197.80/34.67  | | ALPHA: (8) implies:
% 197.80/34.67  | |   (9)   ~ (all_57_3 = e3)
% 197.80/34.67  | |   (10)  op(e3, e2) = all_57_3
% 197.80/34.67  | | 
% 197.80/34.67  | | REF_CLOSE: (1), (3), (9), (10) are inconsistent by sub-proof #1889.
% 197.80/34.67  | | 
% 197.80/34.67  | End of split
% 197.80/34.67  | 
% 197.80/34.67  End of proof
% 197.80/34.67  
% 197.80/34.67  Sub-proof #1809 shows that the following formulas are inconsistent:
% 197.80/34.67  ----------------------------------------------------------------
% 197.80/34.67    (1)   ~ (e3 = e2)
% 197.80/34.67    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.67    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.80/34.67         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.67    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 197.80/34.67         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 197.80/34.67    (5)  op(e1, e1) = e0
% 197.80/34.67    (6)   ~ (e1 = e0)
% 197.80/34.67    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.80/34.67         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.80/34.67    (8)   ~ (e2 = e1)
% 197.80/34.67    (9)  all_56_4 = e0
% 197.80/34.67    (10)   ~ (e3 = e1)
% 197.80/34.67    (11)   ~ (e2 = e0)
% 197.80/34.67    (12)   ~ (e3 = e0)
% 197.80/34.67  
% 197.80/34.67  Begin of proof
% 197.80/34.67  | 
% 197.80/34.67  | BETA: splitting (4) gives:
% 197.80/34.67  | 
% 197.80/34.67  | Case 1:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 197.80/34.67  | |           e1)
% 197.80/34.67  | | 
% 197.80/34.67  | | BETA: splitting (13) gives:
% 197.80/34.67  | | 
% 197.80/34.67  | | Case 1:
% 197.80/34.67  | | | 
% 197.80/34.67  | | |   (14)  all_56_4 = e1 & op(e3, e1) = e1
% 197.80/34.67  | | | 
% 197.80/34.67  | | | ALPHA: (14) implies:
% 197.80/34.67  | | |   (15)  all_56_4 = e1
% 197.80/34.67  | | | 
% 197.80/34.67  | | | REF_CLOSE: (6), (9), (15) are inconsistent by sub-proof #1827.
% 197.80/34.67  | | | 
% 197.80/34.67  | | Case 2:
% 197.80/34.67  | | | 
% 197.80/34.67  | | |   (16)  all_56_5 = e1 & op(e2, e1) = e1
% 197.80/34.67  | | | 
% 197.80/34.67  | | | ALPHA: (16) implies:
% 197.80/34.67  | | |   (17)  all_56_5 = e1
% 197.80/34.67  | | | 
% 197.80/34.67  | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11), (12), (17) are
% 197.80/34.67  | | |            inconsistent by sub-proof #1817.
% 197.80/34.67  | | | 
% 197.80/34.67  | | End of split
% 197.80/34.67  | | 
% 197.80/34.67  | Case 2:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (18)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 197.80/34.67  | |           e1)
% 197.80/34.67  | | 
% 197.80/34.67  | | BETA: splitting (18) gives:
% 197.80/34.67  | | 
% 197.80/34.67  | | Case 1:
% 197.80/34.67  | | | 
% 197.80/34.67  | | |   (19)  all_56_8 = e1 & op(e1, e1) = e1
% 197.80/34.67  | | | 
% 197.80/34.67  | | | ALPHA: (19) implies:
% 197.80/34.67  | | |   (20)  op(e1, e1) = e1
% 197.80/34.67  | | | 
% 197.80/34.67  | | | REF_CLOSE: (2), (5), (6), (20) are inconsistent by sub-proof #1959.
% 197.80/34.67  | | | 
% 197.80/34.67  | | Case 2:
% 197.80/34.67  | | | 
% 197.80/34.67  | | |   (21)  all_56_14 = e1 & op(e0, e1) = e1
% 197.80/34.67  | | | 
% 197.80/34.67  | | | ALPHA: (21) implies:
% 197.80/34.67  | | |   (22)  all_56_14 = e1
% 197.80/34.67  | | | 
% 197.80/34.67  | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11), (12), (22) are
% 197.80/34.67  | | |            inconsistent by sub-proof #1810.
% 197.80/34.67  | | | 
% 197.80/34.67  | | End of split
% 197.80/34.67  | | 
% 197.80/34.67  | End of split
% 197.80/34.67  | 
% 197.80/34.67  End of proof
% 197.80/34.67  
% 197.80/34.67  Sub-proof #1810 shows that the following formulas are inconsistent:
% 197.80/34.67  ----------------------------------------------------------------
% 197.80/34.67    (1)   ~ (e3 = e2)
% 197.80/34.67    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.67    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.80/34.67         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.67    (4)  op(e1, e1) = e0
% 197.80/34.67    (5)  all_56_14 = e1
% 197.80/34.67    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.80/34.67         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.80/34.67    (7)   ~ (e2 = e1)
% 197.80/34.67    (8)  all_56_4 = e0
% 197.80/34.67    (9)   ~ (e3 = e1)
% 197.80/34.67    (10)   ~ (e2 = e0)
% 197.80/34.67    (11)   ~ (e3 = e0)
% 197.80/34.67  
% 197.80/34.67  Begin of proof
% 197.80/34.67  | 
% 197.80/34.67  | BETA: splitting (6) gives:
% 197.80/34.67  | 
% 197.80/34.67  | Case 1:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 197.80/34.67  | |           e3)
% 197.80/34.67  | | 
% 197.80/34.67  | | BETA: splitting (12) gives:
% 197.80/34.67  | | 
% 197.80/34.67  | | Case 1:
% 197.80/34.67  | | | 
% 197.80/34.67  | | |   (13)  all_56_4 = e3 & op(e3, e1) = e3
% 197.80/34.67  | | | 
% 197.80/34.67  | | | REF_CLOSE: (8), (11), (13) are inconsistent by sub-proof #1826.
% 197.80/34.67  | | | 
% 197.80/34.67  | | Case 2:
% 197.80/34.67  | | | 
% 197.80/34.67  | | |   (14)  all_56_5 = e3 & op(e2, e1) = e3
% 197.80/34.67  | | | 
% 197.80/34.67  | | | ALPHA: (14) implies:
% 197.80/34.67  | | |   (15)  all_56_5 = e3
% 197.80/34.67  | | | 
% 197.80/34.67  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (15) are inconsistent
% 197.80/34.67  | | |            by sub-proof #1813.
% 197.80/34.67  | | | 
% 197.80/34.67  | | End of split
% 197.80/34.67  | | 
% 197.80/34.67  | Case 2:
% 197.80/34.67  | | 
% 197.80/34.67  | |   (16)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 197.80/34.67  | |           e3)
% 197.80/34.67  | | 
% 197.80/34.67  | | REF_CLOSE: (2), (4), (5), (9), (11), (16) are inconsistent by sub-proof
% 197.80/34.67  | |            #1811.
% 197.80/34.67  | | 
% 197.80/34.67  | End of split
% 197.80/34.67  | 
% 197.80/34.67  End of proof
% 197.80/34.67  
% 197.80/34.67  Sub-proof #1811 shows that the following formulas are inconsistent:
% 197.80/34.67  ----------------------------------------------------------------
% 197.80/34.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.67    (2)  op(e1, e1) = e0
% 197.80/34.67    (3)  all_56_14 = e1
% 197.80/34.67    (4)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.80/34.67    (5)   ~ (e3 = e1)
% 197.80/34.67    (6)   ~ (e3 = e0)
% 197.80/34.67  
% 197.80/34.67  Begin of proof
% 197.80/34.67  | 
% 197.80/34.67  | BETA: splitting (4) gives:
% 197.80/34.67  | 
% 197.80/34.67  | Case 1:
% 197.80/34.67  | | 
% 197.80/34.68  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 197.80/34.68  | | 
% 197.80/34.68  | | ALPHA: (7) implies:
% 197.80/34.68  | |   (8)  op(e1, e1) = e3
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1824.
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 197.80/34.68  | | 
% 197.80/34.68  | | ALPHA: (9) implies:
% 197.80/34.68  | |   (10)  all_56_14 = e3
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (3), (5), (10) are inconsistent by sub-proof #1812.
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1812 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_14 = e3
% 197.80/34.68    (2)  all_56_14 = e1
% 197.80/34.68    (3)   ~ (e3 = e1)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.68  |   (4)  e3 = e1
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (4) implies:
% 197.80/34.68  |   (5)  e3 = e1
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1813 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)   ~ (e3 = e2)
% 197.80/34.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (3)  all_56_5 = e3
% 197.80/34.68    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.80/34.68         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.68    (5)  op(e1, e1) = e0
% 197.80/34.68    (6)  all_56_14 = e1
% 197.80/34.68    (7)   ~ (e2 = e1)
% 197.80/34.68    (8)  all_56_4 = e0
% 197.80/34.68    (9)   ~ (e2 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | BETA: splitting (4) gives:
% 197.80/34.68  | 
% 197.80/34.68  | Case 1:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 197.80/34.68  | |           e2)
% 197.80/34.68  | | 
% 197.80/34.68  | | BETA: splitting (10) gives:
% 197.80/34.68  | | 
% 197.80/34.68  | | Case 1:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (11)  all_56_4 = e2 & op(e3, e1) = e2
% 197.80/34.68  | | | 
% 197.80/34.68  | | | ALPHA: (11) implies:
% 197.80/34.68  | | |   (12)  all_56_4 = e2
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (8), (9), (12) are inconsistent by sub-proof #1823.
% 197.80/34.68  | | | 
% 197.80/34.68  | | Case 2:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (13)  all_56_5 = e2 & op(e2, e1) = e2
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (1), (3), (13) are inconsistent by sub-proof #1816.
% 197.80/34.68  | | | 
% 197.80/34.68  | | End of split
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (14)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 197.80/34.68  | |           e2)
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (2), (5), (6), (7), (9), (14) are inconsistent by sub-proof
% 197.80/34.68  | |            #1814.
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1814 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (2)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.68    (3)  op(e1, e1) = e0
% 197.80/34.68    (4)  all_56_14 = e1
% 197.80/34.68    (5)   ~ (e2 = e1)
% 197.80/34.68    (6)   ~ (e2 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | BETA: splitting (2) gives:
% 197.80/34.68  | 
% 197.80/34.68  | Case 1:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 197.80/34.68  | | 
% 197.80/34.68  | | ALPHA: (7) implies:
% 197.80/34.68  | |   (8)  op(e1, e1) = e2
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1821.
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (9)  all_56_14 = e2 & op(e0, e1) = e2
% 197.80/34.68  | | 
% 197.80/34.68  | | ALPHA: (9) implies:
% 197.80/34.68  | |   (10)  all_56_14 = e2
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (4), (5), (10) are inconsistent by sub-proof #1815.
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1815 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_14 = e2
% 197.80/34.68    (2)  all_56_14 = e1
% 197.80/34.68    (3)   ~ (e2 = e1)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.68  |   (4)  e2 = e1
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (4) implies:
% 197.80/34.68  |   (5)  e2 = e1
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1816 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_5 = e2 & op(e2, e1) = e2
% 197.80/34.68    (2)  all_56_5 = e3
% 197.80/34.68    (3)   ~ (e3 = e2)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | ALPHA: (1) implies:
% 197.80/34.68  |   (4)  all_56_5 = e2
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.68  |   (5)  e3 = e2
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1817 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)   ~ (e3 = e2)
% 197.80/34.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.80/34.68         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.68    (4)  op(e1, e1) = e0
% 197.80/34.68    (5)  all_56_5 = e1
% 197.80/34.68    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 197.80/34.68         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 197.80/34.68    (7)   ~ (e2 = e1)
% 197.80/34.68    (8)  all_56_4 = e0
% 197.80/34.68    (9)   ~ (e3 = e1)
% 197.80/34.68    (10)   ~ (e2 = e0)
% 197.80/34.68    (11)   ~ (e3 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | BETA: splitting (6) gives:
% 197.80/34.68  | 
% 197.80/34.68  | Case 1:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 197.80/34.68  | |           e3)
% 197.80/34.68  | | 
% 197.80/34.68  | | BETA: splitting (12) gives:
% 197.80/34.68  | | 
% 197.80/34.68  | | Case 1:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (13)  all_56_4 = e3 & op(e3, e1) = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (8), (11), (13) are inconsistent by sub-proof #1826.
% 197.80/34.68  | | | 
% 197.80/34.68  | | Case 2:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (14)  all_56_5 = e3 & op(e2, e1) = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | ALPHA: (14) implies:
% 197.80/34.68  | | |   (15)  all_56_5 = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (5), (9), (15) are inconsistent by sub-proof #1825.
% 197.80/34.68  | | | 
% 197.80/34.68  | | End of split
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (16)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 197.80/34.68  | |           e3)
% 197.80/34.68  | | 
% 197.80/34.68  | | BETA: splitting (16) gives:
% 197.80/34.68  | | 
% 197.80/34.68  | | Case 1:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (17)  all_56_8 = e3 & op(e1, e1) = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | ALPHA: (17) implies:
% 197.80/34.68  | | |   (18)  op(e1, e1) = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (2), (4), (11), (18) are inconsistent by sub-proof #1824.
% 197.80/34.68  | | | 
% 197.80/34.68  | | Case 2:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (19)  all_56_14 = e3 & op(e0, e1) = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | ALPHA: (19) implies:
% 197.80/34.68  | | |   (20)  all_56_14 = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (20) are inconsistent
% 197.80/34.68  | | |            by sub-proof #1818.
% 197.80/34.68  | | | 
% 197.80/34.68  | | End of split
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1818 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)   ~ (e3 = e2)
% 197.80/34.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (3)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 197.80/34.68         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.68    (4)  all_56_14 = e3
% 197.80/34.68    (5)  op(e1, e1) = e0
% 197.80/34.68    (6)  all_56_5 = e1
% 197.80/34.68    (7)   ~ (e2 = e1)
% 197.80/34.68    (8)  all_56_4 = e0
% 197.80/34.68    (9)   ~ (e2 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | BETA: splitting (3) gives:
% 197.80/34.68  | 
% 197.80/34.68  | Case 1:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 197.80/34.68  | |           e2)
% 197.80/34.68  | | 
% 197.80/34.68  | | BETA: splitting (10) gives:
% 197.80/34.68  | | 
% 197.80/34.68  | | Case 1:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (11)  all_56_4 = e2 & op(e3, e1) = e2
% 197.80/34.68  | | | 
% 197.80/34.68  | | | ALPHA: (11) implies:
% 197.80/34.68  | | |   (12)  all_56_4 = e2
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (8), (9), (12) are inconsistent by sub-proof #1823.
% 197.80/34.68  | | | 
% 197.80/34.68  | | Case 2:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (13)  all_56_5 = e2 & op(e2, e1) = e2
% 197.80/34.68  | | | 
% 197.80/34.68  | | | ALPHA: (13) implies:
% 197.80/34.68  | | |   (14)  all_56_5 = e2
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (6), (7), (14) are inconsistent by sub-proof #1822.
% 197.80/34.68  | | | 
% 197.80/34.68  | | End of split
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (15)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 197.80/34.68  | |           e2)
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (1), (2), (4), (5), (9), (15) are inconsistent by sub-proof
% 197.80/34.68  | |            #1819.
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1819 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)   ~ (e3 = e2)
% 197.80/34.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 197.80/34.68    (4)  all_56_14 = e3
% 197.80/34.68    (5)  op(e1, e1) = e0
% 197.80/34.68    (6)   ~ (e2 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | BETA: splitting (3) gives:
% 197.80/34.68  | 
% 197.80/34.68  | Case 1:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 197.80/34.68  | | 
% 197.80/34.68  | | ALPHA: (7) implies:
% 197.80/34.68  | |   (8)  op(e1, e1) = e2
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1821.
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (9)  all_56_14 = e2 & op(e0, e1) = e2
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #1820.
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1820 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_14 = e2 & op(e0, e1) = e2
% 197.80/34.68    (2)  all_56_14 = e3
% 197.80/34.68    (3)   ~ (e3 = e2)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | ALPHA: (1) implies:
% 197.80/34.68  |   (4)  all_56_14 = e2
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.68  |   (5)  e3 = e2
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1821 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (2)  op(e1, e1) = e2
% 197.80/34.68    (3)  op(e1, e1) = e0
% 197.80/34.68    (4)   ~ (e2 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | GROUND_INST: instantiating (1) with e0, e2, e1, e1, simplifying with (2), (3)
% 197.80/34.68  |              gives:
% 197.80/34.68  |   (5)  e2 = e0
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (4), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1822 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_5 = e2
% 197.80/34.68    (2)  all_56_5 = e1
% 197.80/34.68    (3)   ~ (e2 = e1)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.68  |   (4)  e2 = e1
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (4) implies:
% 197.80/34.68  |   (5)  e2 = e1
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1823 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_4 = e2
% 197.80/34.68    (2)  all_56_4 = e0
% 197.80/34.68    (3)   ~ (e2 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.68  |   (4)  e2 = e0
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (4) implies:
% 197.80/34.68  |   (5)  e2 = e0
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1824 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (2)  op(e1, e1) = e3
% 197.80/34.68    (3)  op(e1, e1) = e0
% 197.80/34.68    (4)   ~ (e3 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | GROUND_INST: instantiating (1) with e0, e3, e1, e1, simplifying with (2), (3)
% 197.80/34.68  |              gives:
% 197.80/34.68  |   (5)  e3 = e0
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (4), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1825 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_5 = e3
% 197.80/34.68    (2)  all_56_5 = e1
% 197.80/34.68    (3)   ~ (e3 = e1)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.68  |   (4)  e3 = e1
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (4) implies:
% 197.80/34.68  |   (5)  e3 = e1
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1826 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_4 = e3 & op(e3, e1) = e3
% 197.80/34.68    (2)  all_56_4 = e0
% 197.80/34.68    (3)   ~ (e3 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | ALPHA: (1) implies:
% 197.80/34.68  |   (4)  all_56_4 = e3
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.68  |   (5)  e3 = e0
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (5) implies:
% 197.80/34.68  |   (6)  e3 = e0
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (6) imply:
% 197.80/34.68  |   (7)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (7) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1827 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_4 = e1
% 197.80/34.68    (2)  all_56_4 = e0
% 197.80/34.68    (3)   ~ (e1 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.68  |   (4)  e1 = e0
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (4) implies:
% 197.80/34.68  |   (5)  e1 = e0
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1828 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 197.80/34.68             e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.80/34.68           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) | (all_57_9
% 197.80/34.68           = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 = e2) &
% 197.80/34.68           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0)
% 197.80/34.68           = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 &
% 197.80/34.68           all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3)
% 197.80/34.68           = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 197.80/34.68           all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.80/34.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (3)   ~ (all_52_12 = e3)
% 197.80/34.68    (4)   ~ (e1 = e0)
% 197.80/34.68    (5)  op(e3, e0) = all_52_12
% 197.80/34.68    (6)  op(e0, e0) = e0
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | BETA: splitting (1) gives:
% 197.80/34.68  | 
% 197.80/34.68  | Case 1:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (7)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 =
% 197.80/34.68  | |          e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.80/34.68  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)
% 197.80/34.68  | | 
% 197.80/34.68  | | ALPHA: (7) implies:
% 197.80/34.68  | |   (8)  op(e0, e0) = e1
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1943.
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (9)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 197.80/34.68  | |            = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) =
% 197.80/34.68  | |          e0 & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) |
% 197.80/34.68  | |        (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 197.80/34.68  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) =
% 197.80/34.68  | |          e0 & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1963.
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1829 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_54_4 = all_52_1
% 197.80/34.68    (2)   ~ (all_52_1 = e0)
% 197.80/34.68    (3)   ~ (all_52_1 = e1)
% 197.80/34.68    (4)   ~ (all_52_1 = e2)
% 197.80/34.68    (5)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | BETA: splitting (5) gives:
% 197.80/34.68  | 
% 197.80/34.68  | Case 1:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (6)  all_54_4 = e2
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #1833.
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (7)  all_54_4 = e1 | all_54_4 = e0
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1830.
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1830 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_54_4 = e1 | all_54_4 = e0
% 197.80/34.68    (2)  all_54_4 = all_52_1
% 197.80/34.68    (3)   ~ (all_52_1 = e1)
% 197.80/34.68    (4)   ~ (all_52_1 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | BETA: splitting (1) gives:
% 197.80/34.68  | 
% 197.80/34.68  | Case 1:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (5)  all_54_4 = e1
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1832.
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (6)  all_54_4 = e0
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1831.
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1831 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_54_4 = all_52_1
% 197.80/34.68    (2)  all_54_4 = e0
% 197.80/34.68    (3)   ~ (all_52_1 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.68  |   (4)  all_52_1 = e0
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (4) implies:
% 197.80/34.68  |   (5)  all_52_1 = e0
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1832 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_54_4 = all_52_1
% 197.80/34.68    (2)  all_54_4 = e1
% 197.80/34.68    (3)   ~ (all_52_1 = e1)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.68  |   (4)  all_52_1 = e1
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (4) implies:
% 197.80/34.68  |   (5)  all_52_1 = e1
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1833 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_54_4 = all_52_1
% 197.80/34.68    (2)  all_54_4 = e2
% 197.80/34.68    (3)   ~ (all_52_1 = e2)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.68  |   (4)  all_52_1 = e2
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (4) implies:
% 197.80/34.68  |   (5)  all_52_1 = e2
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1834 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.80/34.68         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.68    (2)  all_56_10 = e1
% 197.80/34.68    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.80/34.68         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.80/34.68    (4)   ~ (e3 = e2)
% 197.80/34.68    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (6)   ~ (all_42_0 = e2)
% 197.80/34.68    (7)  op(e2, e2) = all_4_2
% 197.80/34.68    (8)  op(e3, e3) = e1
% 197.80/34.68    (9)  all_56_6 = e0
% 197.80/34.68    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.80/34.68          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.80/34.68    (11)   ~ (all_4_2 = e3)
% 197.80/34.68    (12)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.80/34.68          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.80/34.68    (13)   ~ (e1 = e0)
% 197.80/34.68    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.80/34.68          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.80/34.68    (15)  op(e0, e3) = all_42_0
% 197.80/34.68    (16)   ~ (e2 = e1)
% 197.80/34.68    (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.80/34.68          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.80/34.68    (18)  all_56_5 = e2
% 197.80/34.68    (19)  op(e2, e3) = e3
% 197.80/34.68    (20)  op(e2, e2) = e0
% 197.80/34.68    (21)   ~ (e3 = e1)
% 197.80/34.68    (22)   ~ (e2 = e0)
% 197.80/34.68    (23)   ~ (e3 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | BETA: splitting (1) gives:
% 197.80/34.68  | 
% 197.80/34.68  | Case 1:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (24)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 197.80/34.68  | |           e2)
% 197.80/34.68  | | 
% 197.80/34.68  | | REF_CLOSE: (4), (5), (8), (16), (19), (24) are inconsistent by sub-proof
% 197.80/34.68  | |            #1862.
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (25)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 197.80/34.68  | |           e2)
% 197.80/34.68  | | 
% 197.80/34.68  | | BETA: splitting (25) gives:
% 197.80/34.68  | | 
% 197.80/34.68  | | Case 1:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (26)  all_56_6 = e2 & op(e1, e3) = e2
% 197.80/34.68  | | | 
% 197.80/34.68  | | | ALPHA: (26) implies:
% 197.80/34.68  | | |   (27)  all_56_6 = e2
% 197.80/34.68  | | | 
% 197.80/34.68  | | | COMBINE_EQS: (9), (27) imply:
% 197.80/34.68  | | |   (28)  e2 = e0
% 197.80/34.68  | | | 
% 197.80/34.68  | | | SIMP: (28) implies:
% 197.80/34.68  | | |   (29)  e2 = e0
% 197.80/34.68  | | | 
% 197.80/34.68  | | | COMBINE_EQS: (18), (29) imply:
% 197.80/34.68  | | |   (30)  all_56_5 = e0
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (11), (12), (13),
% 197.80/34.68  | | |            (14), (16), (17), (20), (21), (22), (23), (30) are inconsistent
% 197.80/34.68  | | |            by sub-proof #1836.
% 197.80/34.68  | | | 
% 197.80/34.68  | | Case 2:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (31)  all_56_12 = e2 & op(e0, e3) = e2
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (5), (6), (15), (31) are inconsistent by sub-proof #1835.
% 197.80/34.68  | | | 
% 197.80/34.68  | | End of split
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1835 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_12 = e2 & op(e0, e3) = e2
% 197.80/34.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (3)  op(e0, e3) = all_42_0
% 197.80/34.68    (4)   ~ (all_42_0 = e2)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | ALPHA: (1) implies:
% 197.80/34.68  |   (5)  op(e0, e3) = e2
% 197.80/34.68  | 
% 197.80/34.68  | GROUND_INST: instantiating (2) with e2, all_42_0, e3, e0, simplifying with
% 197.80/34.68  |              (3), (5) gives:
% 197.80/34.68  |   (6)  all_42_0 = e2
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (4), (6) imply:
% 197.80/34.68  |   (7)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (7) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1836 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.80/34.68         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.68    (2)  all_56_10 = e1
% 197.80/34.68    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.80/34.68         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.80/34.68    (4)   ~ (e3 = e2)
% 197.80/34.68    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.68    (6)  op(e2, e2) = all_4_2
% 197.80/34.68    (7)  op(e3, e3) = e1
% 197.80/34.68    (8)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.80/34.68         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 197.80/34.68    (9)   ~ (all_4_2 = e3)
% 197.80/34.68    (10)  all_56_5 = e0
% 197.80/34.68    (11)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.80/34.68          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.80/34.68    (12)   ~ (e1 = e0)
% 197.80/34.68    (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.80/34.68          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.80/34.68    (14)   ~ (e2 = e1)
% 197.80/34.68    (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.80/34.68          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.80/34.68    (16)  op(e2, e2) = e0
% 197.80/34.68    (17)   ~ (e3 = e1)
% 197.80/34.68    (18)   ~ (e2 = e0)
% 197.80/34.68    (19)   ~ (e3 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | BETA: splitting (8) gives:
% 197.80/34.68  | 
% 197.80/34.68  | Case 1:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (20)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.80/34.68  | |           e3)
% 197.80/34.68  | | 
% 197.80/34.68  | | BETA: splitting (20) gives:
% 197.80/34.68  | | 
% 197.80/34.68  | | Case 1:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (21)  all_56_2 = e3 & op(e2, e3) = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | ALPHA: (21) implies:
% 197.80/34.68  | | |   (22)  all_56_2 = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (1), (3), (4), (5), (7), (10), (11), (12), (13), (14), (15),
% 197.80/34.68  | | |            (16), (17), (18), (19), (22) are inconsistent by sub-proof
% 197.80/34.68  | | |            #1839.
% 197.80/34.68  | | | 
% 197.80/34.68  | | Case 2:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (23)  all_56_3 = e3 & op(e2, e2) = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | ALPHA: (23) implies:
% 197.80/34.68  | | |   (24)  op(e2, e2) = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (5), (6), (9), (24) are inconsistent by sub-proof #1975.
% 197.80/34.68  | | | 
% 197.80/34.68  | | End of split
% 197.80/34.68  | | 
% 197.80/34.68  | Case 2:
% 197.80/34.68  | | 
% 197.80/34.68  | |   (25)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 197.80/34.68  | |           e3)
% 197.80/34.68  | | 
% 197.80/34.68  | | BETA: splitting (25) gives:
% 197.80/34.68  | | 
% 197.80/34.68  | | Case 1:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (26)  all_56_5 = e3 & op(e2, e1) = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | ALPHA: (26) implies:
% 197.80/34.68  | | |   (27)  all_56_5 = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (10), (19), (27) are inconsistent by sub-proof #1838.
% 197.80/34.68  | | | 
% 197.80/34.68  | | Case 2:
% 197.80/34.68  | | | 
% 197.80/34.68  | | |   (28)  all_56_10 = e3 & op(e2, e0) = e3
% 197.80/34.68  | | | 
% 197.80/34.68  | | | REF_CLOSE: (2), (17), (28) are inconsistent by sub-proof #1837.
% 197.80/34.68  | | | 
% 197.80/34.68  | | End of split
% 197.80/34.68  | | 
% 197.80/34.68  | End of split
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1837 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_10 = e3 & op(e2, e0) = e3
% 197.80/34.68    (2)  all_56_10 = e1
% 197.80/34.68    (3)   ~ (e3 = e1)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | ALPHA: (1) implies:
% 197.80/34.68  |   (4)  all_56_10 = e3
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.68  |   (5)  e3 = e1
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1838 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  all_56_5 = e3
% 197.80/34.68    (2)  all_56_5 = e0
% 197.80/34.68    (3)   ~ (e3 = e0)
% 197.80/34.68  
% 197.80/34.68  Begin of proof
% 197.80/34.68  | 
% 197.80/34.68  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.68  |   (4)  e3 = e0
% 197.80/34.68  | 
% 197.80/34.68  | SIMP: (4) implies:
% 197.80/34.68  |   (5)  e3 = e0
% 197.80/34.68  | 
% 197.80/34.68  | REDUCE: (3), (5) imply:
% 197.80/34.68  |   (6)  $false
% 197.80/34.68  | 
% 197.80/34.68  | CLOSE: (6) is inconsistent.
% 197.80/34.68  | 
% 197.80/34.68  End of proof
% 197.80/34.68  
% 197.80/34.68  Sub-proof #1839 shows that the following formulas are inconsistent:
% 197.80/34.68  ----------------------------------------------------------------
% 197.80/34.68    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.80/34.68         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.69    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.80/34.69         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.80/34.69    (3)   ~ (e3 = e2)
% 197.80/34.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.69    (5)  op(e3, e3) = e1
% 197.80/34.69    (6)  all_56_5 = e0
% 197.80/34.69    (7)  all_56_2 = e3
% 197.80/34.69    (8)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.80/34.69         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.80/34.69    (9)   ~ (e1 = e0)
% 197.80/34.69    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.80/34.69          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.80/34.69    (11)   ~ (e2 = e1)
% 197.80/34.69    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.80/34.69          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 197.80/34.69    (13)  op(e2, e2) = e0
% 197.80/34.69    (14)   ~ (e3 = e1)
% 197.80/34.69    (15)   ~ (e2 = e0)
% 197.80/34.69    (16)   ~ (e3 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (12) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.80/34.69  | |           e2)
% 197.80/34.69  | | 
% 197.80/34.69  | | BETA: splitting (17) gives:
% 197.80/34.69  | | 
% 197.80/34.69  | | Case 1:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (18)  all_56_2 = e2 & op(e2, e3) = e2
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (3), (7), (18) are inconsistent by sub-proof #1861.
% 197.80/34.69  | | | 
% 197.80/34.69  | | Case 2:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (19)  all_56_3 = e2 & op(e2, e2) = e2
% 197.80/34.69  | | | 
% 197.80/34.69  | | | ALPHA: (19) implies:
% 197.80/34.69  | | |   (20)  op(e2, e2) = e2
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (4), (13), (15), (20) are inconsistent by sub-proof #1939.
% 197.80/34.69  | | | 
% 197.80/34.69  | | End of split
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (21)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 197.80/34.69  | |           e2)
% 197.80/34.69  | | 
% 197.80/34.69  | | BETA: splitting (21) gives:
% 197.80/34.69  | | 
% 197.80/34.69  | | Case 1:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (22)  all_56_5 = e2 & op(e2, e1) = e2
% 197.80/34.69  | | | 
% 197.80/34.69  | | | ALPHA: (22) implies:
% 197.80/34.69  | | |   (23)  all_56_5 = e2
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (6), (15), (23) are inconsistent by sub-proof #1860.
% 197.80/34.69  | | | 
% 197.80/34.69  | | Case 2:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (24)  all_56_10 = e2 & op(e2, e0) = e2
% 197.80/34.69  | | | 
% 197.80/34.69  | | | ALPHA: (24) implies:
% 197.80/34.69  | | |   (25)  all_56_10 = e2
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (13), (14),
% 197.80/34.69  | | |            (15), (16), (25) are inconsistent by sub-proof #1840.
% 197.80/34.69  | | | 
% 197.80/34.69  | | End of split
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1840 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.80/34.69         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.69    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.80/34.69         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.80/34.69    (3)   ~ (e3 = e2)
% 197.80/34.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.69    (5)  all_56_10 = e2
% 197.80/34.69    (6)  op(e3, e3) = e1
% 197.80/34.69    (7)  all_56_5 = e0
% 197.80/34.69    (8)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.80/34.69         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 197.80/34.69    (9)   ~ (e1 = e0)
% 197.80/34.69    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.80/34.69          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.80/34.69    (11)   ~ (e2 = e1)
% 197.80/34.69    (12)  op(e2, e2) = e0
% 197.80/34.69    (13)   ~ (e3 = e1)
% 197.80/34.69    (14)   ~ (e2 = e0)
% 197.80/34.69    (15)   ~ (e3 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (8) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (16)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.80/34.69  | |           e1)
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (1), (2), (3), (4), (6), (9), (10), (11), (12), (13), (14), (15),
% 197.80/34.69  | |            (16) are inconsistent by sub-proof #1843.
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (17)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 197.80/34.69  | |           e1)
% 197.80/34.69  | | 
% 197.80/34.69  | | BETA: splitting (17) gives:
% 197.80/34.69  | | 
% 197.80/34.69  | | Case 1:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (18)  all_56_5 = e1 & op(e2, e1) = e1
% 197.80/34.69  | | | 
% 197.80/34.69  | | | ALPHA: (18) implies:
% 197.80/34.69  | | |   (19)  all_56_5 = e1
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (7), (9), (19) are inconsistent by sub-proof #1842.
% 197.80/34.69  | | | 
% 197.80/34.69  | | Case 2:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (20)  all_56_10 = e1 & op(e2, e0) = e1
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (5), (11), (20) are inconsistent by sub-proof #1841.
% 197.80/34.69  | | | 
% 197.80/34.69  | | End of split
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1841 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_10 = e1 & op(e2, e0) = e1
% 197.80/34.69    (2)  all_56_10 = e2
% 197.80/34.69    (3)   ~ (e2 = e1)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | ALPHA: (1) implies:
% 197.80/34.69  |   (4)  all_56_10 = e1
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.69  |   (5)  e2 = e1
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1842 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_5 = e1
% 197.80/34.69    (2)  all_56_5 = e0
% 197.80/34.69    (3)   ~ (e1 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.69  |   (4)  e1 = e0
% 197.80/34.69  | 
% 197.80/34.69  | SIMP: (4) implies:
% 197.80/34.69  |   (5)  e1 = e0
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1843 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.80/34.69         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.69    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.80/34.69         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.80/34.69    (3)   ~ (e3 = e2)
% 197.80/34.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.69    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 197.80/34.69    (6)  op(e3, e3) = e1
% 197.80/34.69    (7)   ~ (e1 = e0)
% 197.80/34.69    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.80/34.69         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.80/34.69    (9)   ~ (e2 = e1)
% 197.80/34.69    (10)  op(e2, e2) = e0
% 197.80/34.69    (11)   ~ (e3 = e1)
% 197.80/34.69    (12)   ~ (e2 = e0)
% 197.80/34.69    (13)   ~ (e3 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (5) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (14)  all_56_2 = e1 & op(e2, e3) = e1
% 197.80/34.69  | | 
% 197.80/34.69  | | ALPHA: (14) implies:
% 197.80/34.69  | |   (15)  all_56_2 = e1
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (13), (15)
% 197.80/34.69  | |            are inconsistent by sub-proof #1844.
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (16)  all_56_3 = e1 & op(e2, e2) = e1
% 197.80/34.69  | | 
% 197.80/34.69  | | ALPHA: (16) implies:
% 197.80/34.69  | |   (17)  op(e2, e2) = e1
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (4), (7), (10), (17) are inconsistent by sub-proof #1909.
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1844 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.80/34.69         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.69    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.80/34.69         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.80/34.69    (3)   ~ (e3 = e2)
% 197.80/34.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.69    (5)  op(e3, e3) = e1
% 197.80/34.69    (6)   ~ (e1 = e0)
% 197.80/34.69    (7)  all_56_2 = e1
% 197.80/34.69    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 197.80/34.69         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 197.80/34.69    (9)   ~ (e2 = e1)
% 197.80/34.69    (10)   ~ (e3 = e1)
% 197.80/34.69    (11)   ~ (e2 = e0)
% 197.80/34.69    (12)   ~ (e3 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (8) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 197.80/34.69  | |           e3)
% 197.80/34.69  | | 
% 197.80/34.69  | | BETA: splitting (13) gives:
% 197.80/34.69  | | 
% 197.80/34.69  | | Case 1:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (14)  all_56_0 = e3 & op(e3, e3) = e3
% 197.80/34.69  | | | 
% 197.80/34.69  | | | ALPHA: (14) implies:
% 197.80/34.69  | | |   (15)  op(e3, e3) = e3
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (4), (5), (10), (15) are inconsistent by sub-proof #1966.
% 197.80/34.69  | | | 
% 197.80/34.69  | | Case 2:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (16)  all_56_2 = e3 & op(e2, e3) = e3
% 197.80/34.69  | | | 
% 197.80/34.69  | | | ALPHA: (16) implies:
% 197.80/34.69  | | |   (17)  all_56_2 = e3
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (7), (10), (17) are inconsistent by sub-proof #1859.
% 197.80/34.69  | | | 
% 197.80/34.69  | | End of split
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 197.80/34.69  | |           e3)
% 197.80/34.69  | | 
% 197.80/34.69  | | BETA: splitting (18) gives:
% 197.80/34.69  | | 
% 197.80/34.69  | | Case 1:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (19)  all_56_6 = e3 & op(e1, e3) = e3
% 197.80/34.69  | | | 
% 197.80/34.69  | | | ALPHA: (19) implies:
% 197.80/34.69  | | |   (20)  all_56_6 = e3
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (20) are
% 197.80/34.69  | | |            inconsistent by sub-proof #1850.
% 197.80/34.69  | | | 
% 197.80/34.69  | | Case 2:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (21)  all_56_12 = e3 & op(e0, e3) = e3
% 197.80/34.69  | | | 
% 197.80/34.69  | | | ALPHA: (21) implies:
% 197.80/34.69  | | |   (22)  all_56_12 = e3
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (22) are
% 197.80/34.69  | | |            inconsistent by sub-proof #1845.
% 197.80/34.69  | | | 
% 197.80/34.69  | | End of split
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1845 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.80/34.69         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.69    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.80/34.69         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.80/34.69    (3)   ~ (e3 = e2)
% 197.80/34.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.69    (5)  op(e3, e3) = e1
% 197.80/34.69    (6)  all_56_12 = e3
% 197.80/34.69    (7)   ~ (e1 = e0)
% 197.80/34.69    (8)  all_56_2 = e1
% 197.80/34.69    (9)   ~ (e2 = e1)
% 197.80/34.69    (10)   ~ (e2 = e0)
% 197.80/34.69    (11)   ~ (e3 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (2) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 197.80/34.69  | |           e0)
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (4), (5), (7), (8), (12) are inconsistent by sub-proof #1857.
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 197.80/34.69  | |           e0)
% 197.80/34.69  | | 
% 197.80/34.69  | | BETA: splitting (13) gives:
% 197.80/34.69  | | 
% 197.80/34.69  | | Case 1:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (14)  all_56_6 = e0 & op(e1, e3) = e0
% 197.80/34.69  | | | 
% 197.80/34.69  | | | ALPHA: (14) implies:
% 197.80/34.69  | | |   (15)  all_56_6 = e0
% 197.80/34.69  | | | 
% 197.80/34.69  | | | BETA: splitting (1) gives:
% 197.80/34.69  | | | 
% 197.80/34.69  | | | Case 1:
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | |   (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 197.80/34.69  | | | |           = e2)
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | | REF_CLOSE: (4), (5), (8), (9), (16) are inconsistent by sub-proof #1854.
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | Case 2:
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | |   (17)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3)
% 197.80/34.69  | | | |           = e2)
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | | REF_CLOSE: (3), (6), (10), (15), (17) are inconsistent by sub-proof
% 197.80/34.69  | | | |            #1847.
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | End of split
% 197.80/34.69  | | | 
% 197.80/34.69  | | Case 2:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (18)  all_56_12 = e0 & op(e0, e3) = e0
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (6), (11), (18) are inconsistent by sub-proof #1846.
% 197.80/34.69  | | | 
% 197.80/34.69  | | End of split
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1846 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_12 = e0 & op(e0, e3) = e0
% 197.80/34.69    (2)  all_56_12 = e3
% 197.80/34.69    (3)   ~ (e3 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | ALPHA: (1) implies:
% 197.80/34.69  |   (4)  all_56_12 = e0
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.69  |   (5)  e3 = e0
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1847 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)   ~ (e3 = e2)
% 197.80/34.69    (2)  all_56_12 = e3
% 197.80/34.69    (3)  all_56_6 = e0
% 197.80/34.69    (4)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.69    (5)   ~ (e2 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (4) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (6)  all_56_6 = e2 & op(e1, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | ALPHA: (6) implies:
% 197.80/34.69  | |   (7)  all_56_6 = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #1849.
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (8)  all_56_12 = e2 & op(e0, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #1848.
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1848 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_12 = e2 & op(e0, e3) = e2
% 197.80/34.69    (2)  all_56_12 = e3
% 197.80/34.69    (3)   ~ (e3 = e2)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | ALPHA: (1) implies:
% 197.80/34.69  |   (4)  all_56_12 = e2
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.69  |   (5)  e3 = e2
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1849 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_6 = e2
% 197.80/34.69    (2)  all_56_6 = e0
% 197.80/34.69    (3)   ~ (e2 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.69  |   (4)  e2 = e0
% 197.80/34.69  | 
% 197.80/34.69  | SIMP: (4) implies:
% 197.80/34.69  |   (5)  e2 = e0
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1850 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 197.80/34.69         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.69    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 197.80/34.69         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 197.80/34.69    (3)   ~ (e3 = e2)
% 197.80/34.69    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.69    (5)  op(e3, e3) = e1
% 197.80/34.69    (6)   ~ (e1 = e0)
% 197.80/34.69    (7)  all_56_2 = e1
% 197.80/34.69    (8)  all_56_6 = e3
% 197.80/34.69    (9)   ~ (e2 = e1)
% 197.80/34.69    (10)   ~ (e2 = e0)
% 197.80/34.69    (11)   ~ (e3 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (2) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 197.80/34.69  | |           e0)
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (4), (5), (6), (7), (12) are inconsistent by sub-proof #1857.
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 197.80/34.69  | |           e0)
% 197.80/34.69  | | 
% 197.80/34.69  | | BETA: splitting (13) gives:
% 197.80/34.69  | | 
% 197.80/34.69  | | Case 1:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (14)  all_56_6 = e0 & op(e1, e3) = e0
% 197.80/34.69  | | | 
% 197.80/34.69  | | | REF_CLOSE: (8), (11), (14) are inconsistent by sub-proof #1856.
% 197.80/34.69  | | | 
% 197.80/34.69  | | Case 2:
% 197.80/34.69  | | | 
% 197.80/34.69  | | |   (15)  all_56_12 = e0 & op(e0, e3) = e0
% 197.80/34.69  | | | 
% 197.80/34.69  | | | ALPHA: (15) implies:
% 197.80/34.69  | | |   (16)  all_56_12 = e0
% 197.80/34.69  | | | 
% 197.80/34.69  | | | BETA: splitting (1) gives:
% 197.80/34.69  | | | 
% 197.80/34.69  | | | Case 1:
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | |   (17)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 197.80/34.69  | | | |           = e2)
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | | REF_CLOSE: (4), (5), (7), (9), (17) are inconsistent by sub-proof #1854.
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | Case 2:
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | |   (18)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3)
% 197.80/34.69  | | | |           = e2)
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | | REF_CLOSE: (3), (8), (10), (16), (18) are inconsistent by sub-proof
% 197.80/34.69  | | | |            #1851.
% 197.80/34.69  | | | | 
% 197.80/34.69  | | | End of split
% 197.80/34.69  | | | 
% 197.80/34.69  | | End of split
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1851 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)   ~ (e3 = e2)
% 197.80/34.69    (2)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 197.80/34.69    (3)  all_56_6 = e3
% 197.80/34.69    (4)  all_56_12 = e0
% 197.80/34.69    (5)   ~ (e2 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (2) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (6)  all_56_6 = e2 & op(e1, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #1853.
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (7)  all_56_12 = e2 & op(e0, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | ALPHA: (7) implies:
% 197.80/34.69  | |   (8)  all_56_12 = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1852.
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1852 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_12 = e2
% 197.80/34.69    (2)  all_56_12 = e0
% 197.80/34.69    (3)   ~ (e2 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.69  |   (4)  e2 = e0
% 197.80/34.69  | 
% 197.80/34.69  | SIMP: (4) implies:
% 197.80/34.69  |   (5)  e2 = e0
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1853 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_6 = e2 & op(e1, e3) = e2
% 197.80/34.69    (2)  all_56_6 = e3
% 197.80/34.69    (3)   ~ (e3 = e2)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | ALPHA: (1) implies:
% 197.80/34.69  |   (4)  all_56_6 = e2
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.69  |   (5)  e3 = e2
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1854 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.69    (2)  op(e3, e3) = e1
% 197.80/34.69    (3)  all_56_2 = e1
% 197.80/34.69    (4)   ~ (e2 = e1)
% 197.80/34.69    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (5) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (6)  all_56_0 = e2 & op(e3, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | ALPHA: (6) implies:
% 197.80/34.69  | |   (7)  op(e3, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1934.
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (8)  all_56_2 = e2 & op(e2, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | ALPHA: (8) implies:
% 197.80/34.69  | |   (9)  all_56_2 = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #1855.
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1855 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_2 = e2
% 197.80/34.69    (2)  all_56_2 = e1
% 197.80/34.69    (3)   ~ (e2 = e1)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.69  |   (4)  e2 = e1
% 197.80/34.69  | 
% 197.80/34.69  | SIMP: (4) implies:
% 197.80/34.69  |   (5)  e2 = e1
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1856 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_6 = e0 & op(e1, e3) = e0
% 197.80/34.69    (2)  all_56_6 = e3
% 197.80/34.69    (3)   ~ (e3 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | ALPHA: (1) implies:
% 197.80/34.69  |   (4)  all_56_6 = e0
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.69  |   (5)  e3 = e0
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1857 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.69    (2)  op(e3, e3) = e1
% 197.80/34.69    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 197.80/34.69    (4)   ~ (e1 = e0)
% 197.80/34.69    (5)  all_56_2 = e1
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (3) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (6)  all_56_0 = e0 & op(e3, e3) = e0
% 197.80/34.69  | | 
% 197.80/34.69  | | ALPHA: (6) implies:
% 197.80/34.69  | |   (7)  op(e3, e3) = e0
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1937.
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (8)  all_56_2 = e0 & op(e2, e3) = e0
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1858.
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1858 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_2 = e0 & op(e2, e3) = e0
% 197.80/34.69    (2)  all_56_2 = e1
% 197.80/34.69    (3)   ~ (e1 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | ALPHA: (1) implies:
% 197.80/34.69  |   (4)  all_56_2 = e0
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.69  |   (5)  e1 = e0
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1859 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_2 = e3
% 197.80/34.69    (2)  all_56_2 = e1
% 197.80/34.69    (3)   ~ (e3 = e1)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.69  |   (4)  e3 = e1
% 197.80/34.69  | 
% 197.80/34.69  | SIMP: (4) implies:
% 197.80/34.69  |   (5)  e3 = e1
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1860 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_5 = e2
% 197.80/34.69    (2)  all_56_5 = e0
% 197.80/34.69    (3)   ~ (e2 = e0)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (1), (2) imply:
% 197.80/34.69  |   (4)  e2 = e0
% 197.80/34.69  | 
% 197.80/34.69  | SIMP: (4) implies:
% 197.80/34.69  |   (5)  e2 = e0
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1861 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  all_56_2 = e2 & op(e2, e3) = e2
% 197.80/34.69    (2)  all_56_2 = e3
% 197.80/34.69    (3)   ~ (e3 = e2)
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | ALPHA: (1) implies:
% 197.80/34.69  |   (4)  all_56_2 = e2
% 197.80/34.69  | 
% 197.80/34.69  | COMBINE_EQS: (2), (4) imply:
% 197.80/34.69  |   (5)  e3 = e2
% 197.80/34.69  | 
% 197.80/34.69  | REDUCE: (3), (5) imply:
% 197.80/34.69  |   (6)  $false
% 197.80/34.69  | 
% 197.80/34.69  | CLOSE: (6) is inconsistent.
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1862 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)   ~ (e3 = e2)
% 197.80/34.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.69    (3)  op(e3, e3) = e1
% 197.80/34.69    (4)   ~ (e2 = e1)
% 197.80/34.69    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 197.80/34.69    (6)  op(e2, e3) = e3
% 197.80/34.69  
% 197.80/34.69  Begin of proof
% 197.80/34.69  | 
% 197.80/34.69  | BETA: splitting (5) gives:
% 197.80/34.69  | 
% 197.80/34.69  | Case 1:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | ALPHA: (7) implies:
% 197.80/34.69  | |   (8)  op(e3, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1934.
% 197.80/34.69  | | 
% 197.80/34.69  | Case 2:
% 197.80/34.69  | | 
% 197.80/34.69  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | ALPHA: (9) implies:
% 197.80/34.69  | |   (10)  op(e2, e3) = e2
% 197.80/34.69  | | 
% 197.80/34.69  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1869.
% 197.80/34.69  | | 
% 197.80/34.69  | End of split
% 197.80/34.69  | 
% 197.80/34.69  End of proof
% 197.80/34.69  
% 197.80/34.69  Sub-proof #1863 shows that the following formulas are inconsistent:
% 197.80/34.69  ----------------------------------------------------------------
% 197.80/34.69    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.80/34.69         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.80/34.69    (2)   ~ (e3 = e2)
% 197.80/34.69    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.80/34.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.80/34.69    (4)  op(e2, e2) = all_4_2
% 197.80/34.69    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.80/34.69         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.80/34.69    (6)   ~ (all_4_2 = e3)
% 197.80/34.69    (7)   ~ (e1 = e0)
% 197.88/34.69    (8)  op(e2, e2) = e2
% 197.88/34.69    (9)  all_56_7 = e2
% 197.88/34.69    (10)   ~ (e3 = e1)
% 197.88/34.69    (11)   ~ (e2 = e0)
% 197.88/34.69    (12)   ~ (e3 = e0)
% 197.88/34.69    (13)  all_56_13 = e1
% 197.88/34.69  
% 197.88/34.69  Begin of proof
% 197.88/34.69  | 
% 197.88/34.69  | BETA: splitting (5) gives:
% 197.88/34.69  | 
% 197.88/34.69  | Case 1:
% 197.88/34.69  | | 
% 197.88/34.69  | |   (14)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.88/34.69  | |           e3)
% 197.88/34.69  | | 
% 197.88/34.69  | | BETA: splitting (14) gives:
% 197.88/34.69  | | 
% 197.88/34.69  | | Case 1:
% 197.88/34.69  | | | 
% 197.88/34.69  | | |   (15)  all_56_1 = e3 & op(e3, e2) = e3
% 197.88/34.69  | | | 
% 197.88/34.69  | | | ALPHA: (15) implies:
% 197.88/34.69  | | |   (16)  all_56_1 = e3
% 197.88/34.69  | | | 
% 197.88/34.69  | | | REF_CLOSE: (1), (3), (7), (8), (9), (11), (12), (13), (16) are
% 197.88/34.69  | | |            inconsistent by sub-proof #1866.
% 197.88/34.70  | | | 
% 197.88/34.70  | | Case 2:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (17)  all_56_3 = e3 & op(e2, e2) = e3
% 197.88/34.70  | | | 
% 197.88/34.70  | | | ALPHA: (17) implies:
% 197.88/34.70  | | |   (18)  op(e2, e2) = e3
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (3), (4), (6), (18) are inconsistent by sub-proof #1975.
% 197.88/34.70  | | | 
% 197.88/34.70  | | End of split
% 197.88/34.70  | | 
% 197.88/34.70  | Case 2:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (19)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 197.88/34.70  | |           e3)
% 197.88/34.70  | | 
% 197.88/34.70  | | BETA: splitting (19) gives:
% 197.88/34.70  | | 
% 197.88/34.70  | | Case 1:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (20)  all_56_7 = e3 & op(e1, e2) = e3
% 197.88/34.70  | | | 
% 197.88/34.70  | | | ALPHA: (20) implies:
% 197.88/34.70  | | |   (21)  all_56_7 = e3
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (2), (9), (21) are inconsistent by sub-proof #1865.
% 197.88/34.70  | | | 
% 197.88/34.70  | | Case 2:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (22)  all_56_13 = e3 & op(e0, e2) = e3
% 197.88/34.70  | | | 
% 197.88/34.70  | | | ALPHA: (22) implies:
% 197.88/34.70  | | |   (23)  all_56_13 = e3
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (10), (13), (23) are inconsistent by sub-proof #1864.
% 197.88/34.70  | | | 
% 197.88/34.70  | | End of split
% 197.88/34.70  | | 
% 197.88/34.70  | End of split
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1864 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  all_56_13 = e3
% 197.88/34.70    (2)  all_56_13 = e1
% 197.88/34.70    (3)   ~ (e3 = e1)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | COMBINE_EQS: (1), (2) imply:
% 197.88/34.70  |   (4)  e3 = e1
% 197.88/34.70  | 
% 197.88/34.70  | SIMP: (4) implies:
% 197.88/34.70  |   (5)  e3 = e1
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (3), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1865 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  all_56_7 = e3
% 197.88/34.70    (2)  all_56_7 = e2
% 197.88/34.70    (3)   ~ (e3 = e2)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | COMBINE_EQS: (1), (2) imply:
% 197.88/34.70  |   (4)  e3 = e2
% 197.88/34.70  | 
% 197.88/34.70  | SIMP: (4) implies:
% 197.88/34.70  |   (5)  e3 = e2
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (3), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1866 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 197.88/34.70         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 197.88/34.70    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (3)   ~ (e1 = e0)
% 197.88/34.70    (4)  op(e2, e2) = e2
% 197.88/34.70    (5)  all_56_7 = e2
% 197.88/34.70    (6)  all_56_1 = e3
% 197.88/34.70    (7)   ~ (e2 = e0)
% 197.88/34.70    (8)   ~ (e3 = e0)
% 197.88/34.70    (9)  all_56_13 = e1
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | BETA: splitting (1) gives:
% 197.88/34.70  | 
% 197.88/34.70  | Case 1:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (10)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 197.88/34.70  | |           e0)
% 197.88/34.70  | | 
% 197.88/34.70  | | BETA: splitting (10) gives:
% 197.88/34.70  | | 
% 197.88/34.70  | | Case 1:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (11)  all_56_1 = e0 & op(e3, e2) = e0
% 197.88/34.70  | | | 
% 197.88/34.70  | | | ALPHA: (11) implies:
% 197.88/34.70  | | |   (12)  all_56_1 = e0
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (6), (8), (12) are inconsistent by sub-proof #1929.
% 197.88/34.70  | | | 
% 197.88/34.70  | | Case 2:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (13)  all_56_3 = e0 & op(e2, e2) = e0
% 197.88/34.70  | | | 
% 197.88/34.70  | | | ALPHA: (13) implies:
% 197.88/34.70  | | |   (14)  op(e2, e2) = e0
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (2), (4), (7), (14) are inconsistent by sub-proof #1939.
% 197.88/34.70  | | | 
% 197.88/34.70  | | End of split
% 197.88/34.70  | | 
% 197.88/34.70  | Case 2:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (15)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 197.88/34.70  | |           e0)
% 197.88/34.70  | | 
% 197.88/34.70  | | BETA: splitting (15) gives:
% 197.88/34.70  | | 
% 197.88/34.70  | | Case 1:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (16)  all_56_7 = e0 & op(e1, e2) = e0
% 197.88/34.70  | | | 
% 197.88/34.70  | | | ALPHA: (16) implies:
% 197.88/34.70  | | |   (17)  all_56_7 = e0
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (5), (7), (17) are inconsistent by sub-proof #1868.
% 197.88/34.70  | | | 
% 197.88/34.70  | | Case 2:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (18)  all_56_13 = e0 & op(e0, e2) = e0
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (3), (9), (18) are inconsistent by sub-proof #1867.
% 197.88/34.70  | | | 
% 197.88/34.70  | | End of split
% 197.88/34.70  | | 
% 197.88/34.70  | End of split
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1867 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  all_56_13 = e0 & op(e0, e2) = e0
% 197.88/34.70    (2)  all_56_13 = e1
% 197.88/34.70    (3)   ~ (e1 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | ALPHA: (1) implies:
% 197.88/34.70  |   (4)  all_56_13 = e0
% 197.88/34.70  | 
% 197.88/34.70  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.70  |   (5)  e1 = e0
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (3), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1868 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  all_56_7 = e2
% 197.88/34.70    (2)  all_56_7 = e0
% 197.88/34.70    (3)   ~ (e2 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | COMBINE_EQS: (1), (2) imply:
% 197.88/34.70  |   (4)  e2 = e0
% 197.88/34.70  | 
% 197.88/34.70  | SIMP: (4) implies:
% 197.88/34.70  |   (5)  e2 = e0
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (3), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1869 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (2)  op(e2, e3) = e3
% 197.88/34.70    (3)  op(e2, e3) = e2
% 197.88/34.70    (4)   ~ (e3 = e2)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | GROUND_INST: instantiating (1) with e3, e2, e3, e2, simplifying with (2), (3)
% 197.88/34.70  |              gives:
% 197.88/34.70  |   (5)  e3 = e2
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (4), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1870 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.88/34.70         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.88/34.70    (2)   ~ (e3 = e2)
% 197.88/34.70    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (4)  op(e3, e3) = e1
% 197.88/34.70    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.88/34.70         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.88/34.70    (6)  (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.88/34.70             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.88/34.70           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.88/34.70               = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3 & op(e0, e0) = e3) |
% 197.88/34.70             ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2)))) |
% 197.88/34.70         (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) = e2) |
% 197.88/34.70             ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.88/34.70           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.88/34.70               = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 & op(e0, e0) = e2) |
% 197.88/34.70             ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 & $i(all_57_5))))
% 197.88/34.70    (7)   ~ (all_52_8 = e1)
% 197.88/34.70    (8)  op(e3, e2) = e3
% 197.88/34.70    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.88/34.70         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.88/34.70    (10)   ~ (e1 = e0)
% 197.88/34.70    (11)   ~ (e2 = e1)
% 197.88/34.70    (12)  all_56_1 = e3
% 197.88/34.70    (13)  op(e3, e1) = all_52_8
% 197.88/34.70    (14)   ~ (e3 = e1)
% 197.88/34.70    (15)   ~ (e2 = e0)
% 197.88/34.70    (16)   ~ (e3 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | BETA: splitting (6) gives:
% 197.88/34.70  | 
% 197.88/34.70  | Case 1:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (17)  all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_12 = e3 & op(e2, e2) =
% 197.88/34.70  | |             e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 197.88/34.70  | |             $i(all_57_0))) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.88/34.70  | |             (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.88/34.70  | |         ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0,
% 197.88/34.70  | |               e3) = all_57_2 & $i(all_57_2)))
% 197.88/34.70  | | 
% 197.88/34.70  | | ALPHA: (17) implies:
% 197.88/34.70  | |   (18)  op(e3, e3) = e3
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 197.88/34.70  | |            (15), (16), (18) are inconsistent by sub-proof #1871.
% 197.88/34.70  | | 
% 197.88/34.70  | Case 2:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (19)  all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_10 = e2 & op(e3, e3) =
% 197.88/34.70  | |             e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 197.88/34.70  | |             $i(all_57_3))) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~
% 197.88/34.70  | |             (all_57_4 = e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) &
% 197.88/34.70  | |         ((all_57_15 = e2 & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 197.88/34.70  | |               e2) = all_57_5 & $i(all_57_5)))
% 197.88/34.70  | | 
% 197.88/34.70  | | ALPHA: (19) implies:
% 197.88/34.70  | |   (20)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 197.88/34.70  | |             e2) = all_57_3 & $i(all_57_3))
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (3), (4), (8), (11), (20) are inconsistent by sub-proof #1888.
% 197.88/34.70  | | 
% 197.88/34.70  | End of split
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1871 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 197.88/34.70         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 197.88/34.70    (2)   ~ (e3 = e2)
% 197.88/34.70    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.88/34.70         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.88/34.70    (5)   ~ (all_52_8 = e1)
% 197.88/34.70    (6)  op(e3, e3) = e3
% 197.88/34.70    (7)  op(e3, e2) = e3
% 197.88/34.70    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.88/34.70         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.88/34.70    (9)   ~ (e1 = e0)
% 197.88/34.70    (10)   ~ (e2 = e1)
% 197.88/34.70    (11)  all_56_1 = e3
% 197.88/34.70    (12)  op(e3, e1) = all_52_8
% 197.88/34.70    (13)   ~ (e3 = e1)
% 197.88/34.70    (14)   ~ (e2 = e0)
% 197.88/34.70    (15)   ~ (e3 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | BETA: splitting (1) gives:
% 197.88/34.70  | 
% 197.88/34.70  | Case 1:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 197.88/34.70  | |           e1)
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (3), (6), (11), (13), (16) are inconsistent by sub-proof #1881.
% 197.88/34.70  | | 
% 197.88/34.70  | Case 2:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (17)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 197.88/34.70  | |           e1)
% 197.88/34.70  | | 
% 197.88/34.70  | | BETA: splitting (17) gives:
% 197.88/34.70  | | 
% 197.88/34.70  | | Case 1:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (18)  all_56_4 = e1 & op(e3, e1) = e1
% 197.88/34.70  | | | 
% 197.88/34.70  | | | ALPHA: (18) implies:
% 197.88/34.70  | | |   (19)  op(e3, e1) = e1
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (3), (5), (12), (19) are inconsistent by sub-proof #1880.
% 197.88/34.70  | | | 
% 197.88/34.70  | | Case 2:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (20)  all_56_9 = e1 & op(e3, e0) = e1
% 197.88/34.70  | | | 
% 197.88/34.70  | | | ALPHA: (20) implies:
% 197.88/34.70  | | |   (21)  all_56_9 = e1
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (14), (15), (21)
% 197.88/34.70  | | |            are inconsistent by sub-proof #1872.
% 197.88/34.70  | | | 
% 197.88/34.70  | | End of split
% 197.88/34.70  | | 
% 197.88/34.70  | End of split
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1872 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ~ (e3 = e2)
% 197.88/34.70    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.88/34.70         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.88/34.70    (4)  all_56_9 = e1
% 197.88/34.70    (5)  op(e3, e3) = e3
% 197.88/34.70    (6)  op(e3, e2) = e3
% 197.88/34.70    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.88/34.70         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.88/34.70    (8)   ~ (e1 = e0)
% 197.88/34.70    (9)   ~ (e2 = e1)
% 197.88/34.70    (10)  all_56_1 = e3
% 197.88/34.70    (11)   ~ (e2 = e0)
% 197.88/34.70    (12)   ~ (e3 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | BETA: splitting (3) gives:
% 197.88/34.70  | 
% 197.88/34.70  | Case 1:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 197.88/34.70  | |           e2)
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (1), (2), (5), (6), (13) are inconsistent by sub-proof #1879.
% 197.88/34.70  | | 
% 197.88/34.70  | Case 2:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (14)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 197.88/34.70  | |           e2)
% 197.88/34.70  | | 
% 197.88/34.70  | | BETA: splitting (14) gives:
% 197.88/34.70  | | 
% 197.88/34.70  | | Case 1:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (15)  all_56_4 = e2 & op(e3, e1) = e2
% 197.88/34.70  | | | 
% 197.88/34.70  | | | ALPHA: (15) implies:
% 197.88/34.70  | | |   (16)  all_56_4 = e2
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (2), (4), (5), (7), (8), (10), (11), (12), (16) are
% 197.88/34.70  | | |            inconsistent by sub-proof #1874.
% 197.88/34.70  | | | 
% 197.88/34.70  | | Case 2:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (17)  all_56_9 = e2 & op(e3, e0) = e2
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (4), (9), (17) are inconsistent by sub-proof #1873.
% 197.88/34.70  | | | 
% 197.88/34.70  | | End of split
% 197.88/34.70  | | 
% 197.88/34.70  | End of split
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1873 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  all_56_9 = e2 & op(e3, e0) = e2
% 197.88/34.70    (2)  all_56_9 = e1
% 197.88/34.70    (3)   ~ (e2 = e1)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | ALPHA: (1) implies:
% 197.88/34.70  |   (4)  all_56_9 = e2
% 197.88/34.70  | 
% 197.88/34.70  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.70  |   (5)  e2 = e1
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (3), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1874 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (2)  all_56_9 = e1
% 197.88/34.70    (3)  op(e3, e3) = e3
% 197.88/34.70    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 197.88/34.70         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 197.88/34.70    (5)   ~ (e1 = e0)
% 197.88/34.70    (6)  all_56_4 = e2
% 197.88/34.70    (7)  all_56_1 = e3
% 197.88/34.70    (8)   ~ (e2 = e0)
% 197.88/34.70    (9)   ~ (e3 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | BETA: splitting (4) gives:
% 197.88/34.70  | 
% 197.88/34.70  | Case 1:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 197.88/34.70  | |           e0)
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (1), (3), (7), (9), (10) are inconsistent by sub-proof #1877.
% 197.88/34.70  | | 
% 197.88/34.70  | Case 2:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 197.88/34.70  | |           e0)
% 197.88/34.70  | | 
% 197.88/34.70  | | BETA: splitting (11) gives:
% 197.88/34.70  | | 
% 197.88/34.70  | | Case 1:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (12)  all_56_4 = e0 & op(e3, e1) = e0
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (6), (8), (12) are inconsistent by sub-proof #1876.
% 197.88/34.70  | | | 
% 197.88/34.70  | | Case 2:
% 197.88/34.70  | | | 
% 197.88/34.70  | | |   (13)  all_56_9 = e0 & op(e3, e0) = e0
% 197.88/34.70  | | | 
% 197.88/34.70  | | | REF_CLOSE: (2), (5), (13) are inconsistent by sub-proof #1875.
% 197.88/34.70  | | | 
% 197.88/34.70  | | End of split
% 197.88/34.70  | | 
% 197.88/34.70  | End of split
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1875 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  all_56_9 = e0 & op(e3, e0) = e0
% 197.88/34.70    (2)  all_56_9 = e1
% 197.88/34.70    (3)   ~ (e1 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | ALPHA: (1) implies:
% 197.88/34.70  |   (4)  all_56_9 = e0
% 197.88/34.70  | 
% 197.88/34.70  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.70  |   (5)  e1 = e0
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (3), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1876 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  all_56_4 = e0 & op(e3, e1) = e0
% 197.88/34.70    (2)  all_56_4 = e2
% 197.88/34.70    (3)   ~ (e2 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | ALPHA: (1) implies:
% 197.88/34.70  |   (4)  all_56_4 = e0
% 197.88/34.70  | 
% 197.88/34.70  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.70  |   (5)  e2 = e0
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (3), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1877 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (2)  op(e3, e3) = e3
% 197.88/34.70    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 197.88/34.70    (4)  all_56_1 = e3
% 197.88/34.70    (5)   ~ (e3 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | BETA: splitting (3) gives:
% 197.88/34.70  | 
% 197.88/34.70  | Case 1:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (6)  all_56_0 = e0 & op(e3, e3) = e0
% 197.88/34.70  | | 
% 197.88/34.70  | | ALPHA: (6) implies:
% 197.88/34.70  | |   (7)  op(e3, e3) = e0
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1961.
% 197.88/34.70  | | 
% 197.88/34.70  | Case 2:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (8)  all_56_1 = e0 & op(e3, e2) = e0
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1878.
% 197.88/34.70  | | 
% 197.88/34.70  | End of split
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1878 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  all_56_1 = e0 & op(e3, e2) = e0
% 197.88/34.70    (2)  all_56_1 = e3
% 197.88/34.70    (3)   ~ (e3 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | ALPHA: (1) implies:
% 197.88/34.70  |   (4)  all_56_1 = e0
% 197.88/34.70  | 
% 197.88/34.70  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.70  |   (5)  e3 = e0
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (3), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1879 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ~ (e3 = e2)
% 197.88/34.70    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (3)  op(e3, e3) = e3
% 197.88/34.70    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 197.88/34.70    (5)  op(e3, e2) = e3
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | BETA: splitting (4) gives:
% 197.88/34.70  | 
% 197.88/34.70  | Case 1:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (6)  all_56_0 = e2 & op(e3, e3) = e2
% 197.88/34.70  | | 
% 197.88/34.70  | | ALPHA: (6) implies:
% 197.88/34.70  | |   (7)  op(e3, e3) = e2
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1957.
% 197.88/34.70  | | 
% 197.88/34.70  | Case 2:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (8)  all_56_1 = e2 & op(e3, e2) = e2
% 197.88/34.70  | | 
% 197.88/34.70  | | ALPHA: (8) implies:
% 197.88/34.70  | |   (9)  op(e3, e2) = e2
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1927.
% 197.88/34.70  | | 
% 197.88/34.70  | End of split
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1880 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (2)  op(e3, e1) = all_52_8
% 197.88/34.70    (3)  op(e3, e1) = e1
% 197.88/34.70    (4)   ~ (all_52_8 = e1)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | GROUND_INST: instantiating (1) with all_52_8, e1, e1, e3, simplifying with
% 197.88/34.70  |              (2), (3) gives:
% 197.88/34.70  |   (5)  all_52_8 = e1
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (4), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1881 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (2)  op(e3, e3) = e3
% 197.88/34.70    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 197.88/34.70    (4)  all_56_1 = e3
% 197.88/34.70    (5)   ~ (e3 = e1)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | BETA: splitting (3) gives:
% 197.88/34.70  | 
% 197.88/34.70  | Case 1:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (6)  all_56_0 = e1 & op(e3, e3) = e1
% 197.88/34.70  | | 
% 197.88/34.70  | | ALPHA: (6) implies:
% 197.88/34.70  | |   (7)  op(e3, e3) = e1
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1966.
% 197.88/34.70  | | 
% 197.88/34.70  | Case 2:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (8)  all_56_1 = e1 & op(e3, e2) = e1
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1882.
% 197.88/34.70  | | 
% 197.88/34.70  | End of split
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1882 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)  all_56_1 = e1 & op(e3, e2) = e1
% 197.88/34.70    (2)  all_56_1 = e3
% 197.88/34.70    (3)   ~ (e3 = e1)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | ALPHA: (1) implies:
% 197.88/34.70  |   (4)  all_56_1 = e1
% 197.88/34.70  | 
% 197.88/34.70  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.70  |   (5)  e3 = e1
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (3), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1883 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ~ (all_52_14 = e0)
% 197.88/34.70    (2)   ~ (all_52_11 = e1)
% 197.88/34.70    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (4)  op(e1, e0) = all_52_14
% 197.88/34.70    (5)  op(e0, e1) = all_52_11
% 197.88/34.70    (6)  (all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.88/34.70           op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.88/34.70           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.88/34.70                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0 &
% 197.88/34.70               op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) = all_57_11 &
% 197.88/34.70               $i(all_57_11)))) | (all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1
% 197.88/34.70           & op(e1, e1) = all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0,
% 197.88/34.70             e0) = e1 & $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~
% 197.88/34.70               (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) &
% 197.88/34.70           ((all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1)
% 197.88/34.70               = all_57_7 & $i(all_57_7))))
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | BETA: splitting (6) gives:
% 197.88/34.70  | 
% 197.88/34.70  | Case 1:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (7)  all_57_8 = e1 & all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0 &
% 197.88/34.70  | |        op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 197.88/34.70  | |        $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.88/34.70  | |              e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_12 = e0
% 197.88/34.70  | |            & op(e2, e2) = e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 197.88/34.70  | |            all_57_11 & $i(all_57_11)))
% 197.88/34.70  | | 
% 197.88/34.70  | | ALPHA: (7) implies:
% 197.88/34.70  | |   (8)  op(e0, e1) = e1
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1885.
% 197.88/34.70  | | 
% 197.88/34.70  | Case 2:
% 197.88/34.70  | | 
% 197.88/34.70  | |   (9)  all_57_8 = e0 & all_57_13 = e0 & all_57_15 = e1 & op(e1, e1) =
% 197.88/34.70  | |        all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 & op(e0, e0) = e1 &
% 197.88/34.70  | |        $i(all_57_14) & ((all_57_10 = e1 & op(e3, e3) = e1) | ( ~ (all_57_6 =
% 197.88/34.70  | |              e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & ((all_57_12 = e1
% 197.88/34.70  | |            & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7
% 197.88/34.70  | |            & $i(all_57_7)))
% 197.88/34.70  | | 
% 197.88/34.70  | | ALPHA: (9) implies:
% 197.88/34.70  | |   (10)  op(e1, e0) = e0
% 197.88/34.70  | | 
% 197.88/34.70  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1884.
% 197.88/34.70  | | 
% 197.88/34.70  | End of split
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1884 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (2)  op(e1, e0) = all_52_14
% 197.88/34.70    (3)  op(e1, e0) = e0
% 197.88/34.70    (4)   ~ (all_52_14 = e0)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | GROUND_INST: instantiating (1) with all_52_14, e0, e0, e1, simplifying with
% 197.88/34.70  |              (2), (3) gives:
% 197.88/34.70  |   (5)  all_52_14 = e0
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (4), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1885 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (2)  op(e0, e1) = all_52_11
% 197.88/34.70    (3)  op(e0, e1) = e1
% 197.88/34.70    (4)   ~ (all_52_11 = e1)
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | GROUND_INST: instantiating (1) with all_52_11, e1, e1, e0, simplifying with
% 197.88/34.70  |              (2), (3) gives:
% 197.88/34.70  |   (5)  all_52_11 = e1
% 197.88/34.70  | 
% 197.88/34.70  | REDUCE: (4), (5) imply:
% 197.88/34.70  |   (6)  $false
% 197.88/34.70  | 
% 197.88/34.70  | CLOSE: (6) is inconsistent.
% 197.88/34.70  | 
% 197.88/34.70  End of proof
% 197.88/34.70  
% 197.88/34.70  Sub-proof #1886 shows that the following formulas are inconsistent:
% 197.88/34.70  ----------------------------------------------------------------
% 197.88/34.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.70    (2)  (all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.88/34.70           op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.88/34.70           $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9 =
% 197.88/34.70                 e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 = e0 &
% 197.88/34.70               op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 197.88/34.70               $i(all_57_13)))) | (all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2
% 197.88/34.70           & op(e2, e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0,
% 197.88/34.70             e0) = e2 & $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~
% 197.88/34.70               (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) &
% 197.88/34.70           ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2)
% 197.88/34.70               = all_57_4 & $i(all_57_4))))
% 197.88/34.70    (3)  op(e3, e3) = e1
% 197.88/34.70    (4)  op(e2, e0) = all_52_13
% 197.88/34.70    (5)  op(e3, e2) = e3
% 197.88/34.70    (6)   ~ (e2 = e1)
% 197.88/34.70    (7)  op(e2, e1) = all_52_9
% 197.88/34.70    (8)   ~ (all_52_9 = all_52_13)
% 197.88/34.70    (9)  op(e2, e1) = e2
% 197.88/34.70  
% 197.88/34.70  Begin of proof
% 197.88/34.70  | 
% 197.88/34.70  | BETA: splitting (2) gives:
% 197.88/34.70  | 
% 197.88/34.70  | Case 1:
% 197.88/34.70  | | 
% 197.88/34.71  | |   (10)  all_57_5 = e2 & all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0 &
% 197.88/34.71  | |         op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 197.88/34.71  | |         $i(all_57_15) & ((all_57_10 = e0 & op(e3, e3) = e0) | ( ~ (all_57_9
% 197.88/34.71  | |               = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & ((all_57_14 =
% 197.88/34.71  | |             e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.88/34.71  | |             all_57_13 & $i(all_57_13)))
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (10) implies:
% 197.88/34.71  | |   (11)  op(e2, e0) = e2
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (1), (4), (7), (8), (9), (11) are inconsistent by sub-proof
% 197.88/34.71  | |            #1887.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (12)  all_57_5 = e0 & all_57_11 = e0 & all_57_15 = e2 & op(e2, e2) =
% 197.88/34.71  | |         all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 & op(e0, e0) = e2 &
% 197.88/34.71  | |         $i(all_57_12) & ((all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3
% 197.88/34.71  | |               = e3) & op(e3, e2) = all_57_3 & $i(all_57_3))) & ((all_57_14 =
% 197.88/34.71  | |             e2 & op(e1, e1) = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 197.88/34.71  | |             all_57_4 & $i(all_57_4)))
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (12) implies:
% 197.88/34.71  | |   (13)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3,
% 197.88/34.71  | |             e2) = all_57_3 & $i(all_57_3))
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (1), (3), (5), (6), (13) are inconsistent by sub-proof #1888.
% 197.88/34.71  | | 
% 197.88/34.71  | End of split
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1887 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.71    (2)  op(e2, e0) = e2
% 197.88/34.71    (3)  op(e2, e0) = all_52_13
% 197.88/34.71    (4)  op(e2, e1) = all_52_9
% 197.88/34.71    (5)   ~ (all_52_9 = all_52_13)
% 197.88/34.71    (6)  op(e2, e1) = e2
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | GROUND_INST: instantiating (1) with all_52_13, e2, e0, e2, simplifying with
% 197.88/34.71  |              (2), (3) gives:
% 197.88/34.71  |   (7)  all_52_13 = e2
% 197.88/34.71  | 
% 197.88/34.71  | GROUND_INST: instantiating (1) with all_52_9, e2, e1, e2, simplifying with
% 197.88/34.71  |              (4), (6) gives:
% 197.88/34.71  |   (8)  all_52_9 = e2
% 197.88/34.71  | 
% 197.88/34.71  | REDUCE: (5), (7), (8) imply:
% 197.88/34.71  |   (9)  $false
% 197.88/34.71  | 
% 197.88/34.71  | CLOSE: (9) is inconsistent.
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1888 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)  (all_57_10 = e2 & op(e3, e3) = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 197.88/34.71           all_57_3 & $i(all_57_3))
% 197.88/34.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.71    (3)  op(e3, e3) = e1
% 197.88/34.71    (4)  op(e3, e2) = e3
% 197.88/34.71    (5)   ~ (e2 = e1)
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | BETA: splitting (1) gives:
% 197.88/34.71  | 
% 197.88/34.71  | Case 1:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (6)  all_57_10 = e2 & op(e3, e3) = e2
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (6) implies:
% 197.88/34.71  | |   (7)  op(e3, e3) = e2
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #1934.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (8)   ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 & $i(all_57_3)
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (8) implies:
% 197.88/34.71  | |   (9)   ~ (all_57_3 = e3)
% 197.88/34.71  | |   (10)  op(e3, e2) = all_57_3
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (2), (4), (9), (10) are inconsistent by sub-proof #1889.
% 197.88/34.71  | | 
% 197.88/34.71  | End of split
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1889 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.71    (2)  op(e3, e2) = all_57_3
% 197.88/34.71    (3)  op(e3, e2) = e3
% 197.88/34.71    (4)   ~ (all_57_3 = e3)
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | GROUND_INST: instantiating (1) with e3, all_57_3, e2, e3, simplifying with
% 197.88/34.71  |              (2), (3) gives:
% 197.88/34.71  |   (5)  all_57_3 = e3
% 197.88/34.71  | 
% 197.88/34.71  | REDUCE: (4), (5) imply:
% 197.88/34.71  |   (6)  $false
% 197.88/34.71  | 
% 197.88/34.71  | CLOSE: (6) is inconsistent.
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1890 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.71    (2)  op(e2, e2) = all_57_12
% 197.88/34.71    (3)  op(e2, e2) = e1
% 197.88/34.71    (4)   ~ (all_57_12 = e1)
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | GROUND_INST: instantiating (1) with e1, all_57_12, e2, e2, simplifying with
% 197.88/34.71  |              (2), (3) gives:
% 197.88/34.71  |   (5)  all_57_12 = e1
% 197.88/34.71  | 
% 197.88/34.71  | REDUCE: (4), (5) imply:
% 197.88/34.71  |   (6)  $false
% 197.88/34.71  | 
% 197.88/34.71  | CLOSE: (6) is inconsistent.
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1891 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.71    (2)  op(e3, e3) = e1
% 197.88/34.71    (3)  op(e0, e3) = all_52_3
% 197.88/34.71    (4)  (all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.88/34.71           op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.88/34.71           $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11 =
% 197.88/34.71                 e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14 = e0
% 197.88/34.71               & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) = all_57_13
% 197.88/34.71               & $i(all_57_13)))) | (all_57_2 = e0 & all_57_9 = e0 & all_57_15 =
% 197.88/34.71           e3 & op(e3, e3) = all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 197.88/34.71           op(e0, e0) = e3 & $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) |
% 197.88/34.71             ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) &
% 197.88/34.71           ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3)
% 197.88/34.71               = all_57_1 & $i(all_57_1))))
% 197.88/34.71    (5)   ~ (e1 = e0)
% 197.88/34.71    (6)   ~ (all_52_3 = e0)
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | BETA: splitting (4) gives:
% 197.88/34.71  | 
% 197.88/34.71  | Case 1:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (7)  all_57_2 = e3 & all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 197.88/34.71  | |        op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 197.88/34.71  | |        $i(all_57_15) & ((all_57_12 = e0 & op(e2, e2) = e0) | ( ~ (all_57_11
% 197.88/34.71  | |              = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) & ((all_57_14
% 197.88/34.71  | |            = e0 & op(e1, e1) = e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 197.88/34.71  | |            all_57_13 & $i(all_57_13)))
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (7) implies:
% 197.88/34.71  | |   (8)  op(e3, e3) = e0
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1937.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (9)  all_57_2 = e0 & all_57_9 = e0 & all_57_15 = e3 & op(e3, e3) =
% 197.88/34.71  | |        all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & op(e0, e0) = e3 &
% 197.88/34.71  | |        $i(all_57_10) & ((all_57_12 = e3 & op(e2, e2) = e3) | ( ~ (all_57_0 =
% 197.88/34.71  | |              e2) & op(e2, e3) = all_57_0 & $i(all_57_0))) & ((all_57_14 = e3
% 197.88/34.71  | |            & op(e1, e1) = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1
% 197.88/34.71  | |            & $i(all_57_1)))
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (9) implies:
% 197.88/34.71  | |   (10)  op(e0, e3) = e0
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1935.
% 197.88/34.71  | | 
% 197.88/34.71  | End of split
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1892 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)  (all_57_12 = e1 & op(e2, e2) = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 197.88/34.71           all_57_7 & $i(all_57_7))
% 197.88/34.71    (2)   ~ (all_57_12 = e1)
% 197.88/34.71    (3)  all_57_7 = e2
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | BETA: splitting (1) gives:
% 197.88/34.71  | 
% 197.88/34.71  | Case 1:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (4)  all_57_12 = e1 & op(e2, e2) = e1
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (4) implies:
% 197.88/34.71  | |   (5)  all_57_12 = e1
% 197.88/34.71  | | 
% 197.88/34.71  | | REDUCE: (2), (5) imply:
% 197.88/34.71  | |   (6)  $false
% 197.88/34.71  | | 
% 197.88/34.71  | | CLOSE: (6) is inconsistent.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (7)   ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (7) implies:
% 197.88/34.71  | |   (8)   ~ (all_57_7 = e2)
% 197.88/34.71  | | 
% 197.88/34.71  | | REDUCE: (3), (8) imply:
% 197.88/34.71  | |   (9)  $false
% 197.88/34.71  | | 
% 197.88/34.71  | | CLOSE: (9) is inconsistent.
% 197.88/34.71  | | 
% 197.88/34.71  | End of split
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1893 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.71    (2)  op(e2, e2) = all_4_2
% 197.88/34.71    (3)  op(e3, e3) = e1
% 197.88/34.71    (4)   ~ (all_4_2 = e3)
% 197.88/34.71    (5)   ~ (e2 = e1)
% 197.88/34.71    (6)  (all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.88/34.71           op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.88/34.71           $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.88/34.71                 e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2 &
% 197.88/34.71               op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 197.88/34.71               $i(all_57_5)))) | (all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 &
% 197.88/34.71           op(e3, e3) = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2)
% 197.88/34.71           = e3 & $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~
% 197.88/34.71               (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) &
% 197.88/34.71           ((all_57_15 = e3 & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3)
% 197.88/34.71               = all_57_2 & $i(all_57_2))))
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | BETA: splitting (6) gives:
% 197.88/34.71  | 
% 197.88/34.71  | Case 1:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (7)  all_57_0 = e3 & all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 197.88/34.71  | |        op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 &
% 197.88/34.71  | |        $i(all_57_12) & ((all_57_14 = e2 & op(e1, e1) = e2) | ( ~ (all_57_4 =
% 197.88/34.71  | |              e1) & op(e1, e2) = all_57_4 & $i(all_57_4))) & ((all_57_15 = e2
% 197.88/34.71  | |            & op(e0, e0) = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5
% 197.88/34.71  | |            & $i(all_57_5)))
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (7) implies:
% 197.88/34.71  | |   (8)  op(e3, e3) = e2
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1934.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (9)  all_57_0 = e2 & all_57_3 = e2 & all_57_12 = e3 & op(e3, e3) =
% 197.88/34.71  | |        all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 197.88/34.71  | |        $i(all_57_10) & ((all_57_14 = e3 & op(e1, e1) = e3) | ( ~ (all_57_1 =
% 197.88/34.71  | |              e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & ((all_57_15 = e3
% 197.88/34.71  | |            & op(e0, e0) = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 197.88/34.71  | |            & $i(all_57_2)))
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (9) implies:
% 197.88/34.71  | |   (10)  op(e2, e2) = e3
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1975.
% 197.88/34.71  | | 
% 197.88/34.71  | End of split
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1894 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)  op(e1, e1) = e1
% 197.88/34.71    (2)  op(e1, e3) = all_52_2
% 197.88/34.71    (3)  op(e1, e2) = all_52_6
% 197.88/34.71    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.71    (5)  op(e2, e2) = all_4_2
% 197.88/34.71    (6)   ~ (all_4_2 = e3)
% 197.88/34.71    (7)   ~ (e1 = e0)
% 197.88/34.71    (8)   ~ (e2 = e1)
% 197.88/34.71    (9)   ~ (all_52_2 = e1)
% 197.88/34.71    (10)  op(e0, e0) = e0
% 197.88/34.71    (11)  op(e2, e2) = e0
% 197.88/34.71    (12)   ~ (e3 = e1)
% 197.88/34.71    (13)   ~ (all_52_6 = e1)
% 197.88/34.71    (14)   ~ (e2 = e0)
% 197.88/34.71    (15)   ~ (e3 = e0)
% 197.88/34.71    (16)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.88/34.71              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.88/34.71            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.88/34.71            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.88/34.71            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.88/34.71            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.88/34.71            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.88/34.71            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.88/34.71            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.88/34.71            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.88/34.71            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.88/34.71            $i(all_57_2) & $i(all_57_14)) | (all_57_3 = e3 & all_57_14 = e2 &  ~
% 197.88/34.71            (all_57_4 = e1) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.88/34.71            op(e3, e2) = e3 & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.88/34.71            $i(all_57_4) & $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~
% 197.88/34.71            (all_57_5 = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 197.88/34.71            op(e3, e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.88/34.71            $i(all_57_5) & $i(all_57_10)) | (all_57_4 = e1 & all_57_10 = e2 &  ~
% 197.88/34.71            (all_57_3 = e3) &  ~ (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.88/34.71            all_57_3 & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.88/34.71            $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0)
% 197.88/34.71            &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.88/34.71            op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.88/34.71            $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2)
% 197.88/34.71            &  ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.88/34.71            op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.88/34.71            $i(all_57_10))
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | BETA: splitting (16) gives:
% 197.88/34.71  | 
% 197.88/34.71  | Case 1:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (17)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 197.88/34.71  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.88/34.71  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 197.88/34.71  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 197.88/34.71  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.88/34.71  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) |
% 197.88/34.71  | |         (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 197.88/34.71  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 197.88/34.71  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.88/34.71  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 197.88/34.71  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.88/34.71  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (1), (2), (4), (5), (6), (9), (10), (12), (15), (17) are
% 197.88/34.71  | |            inconsistent by sub-proof #1946.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (18)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10
% 197.88/34.71  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.88/34.71  | |           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) |
% 197.88/34.71  | |         (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10
% 197.88/34.71  | |             = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.88/34.71  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)) |
% 197.88/34.71  | |         (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14
% 197.88/34.71  | |             = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) =
% 197.88/34.71  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) |
% 197.88/34.71  | |         (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.88/34.71  | |             = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.88/34.71  | |           all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.88/34.71  | |         (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.88/34.71  | |             = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.88/34.71  | |           e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.88/34.71  | | 
% 197.88/34.71  | | BETA: splitting (18) gives:
% 197.88/34.71  | | 
% 197.88/34.71  | | Case 1:
% 197.88/34.71  | | | 
% 197.88/34.71  | | |   (19)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.88/34.71  | | |           (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 &
% 197.88/34.71  | | |           op(e1, e2) = all_57_4 & op(e1, e1) = e2 & $i(all_57_4) &
% 197.88/34.71  | | |           $i(all_57_10)) | (all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5
% 197.88/34.71  | | |             = e0) &  ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 & op(e3,
% 197.88/34.71  | | |             e2) = e3 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.88/34.71  | | |           $i(all_57_5) & $i(all_57_10))
% 197.88/34.71  | | | 
% 197.88/34.71  | | | REF_CLOSE: (1), (4), (8), (10), (14), (19) are inconsistent by sub-proof
% 197.88/34.71  | | |            #1944.
% 197.88/34.71  | | | 
% 197.88/34.71  | | Case 2:
% 197.88/34.71  | | | 
% 197.88/34.71  | | |   (20)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~
% 197.88/34.71  | | |           (all_57_14 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 &
% 197.88/34.71  | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_14 & $i(all_57_3) &
% 197.88/34.71  | | |           $i(all_57_14)) | (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5
% 197.88/34.71  | | |             = e0) &  ~ (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) =
% 197.88/34.71  | | |           all_57_14 & op(e0, e2) = all_57_5 & op(e0, e0) = e2 &
% 197.88/34.71  | | |           $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12 = e1
% 197.88/34.71  | | |           &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.88/34.71  | | |           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 197.88/34.71  | | |           all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.88/34.71  | | | 
% 197.88/34.71  | | | REF_CLOSE: (3), (4), (7), (11), (13), (20) are inconsistent by sub-proof
% 197.88/34.71  | | |            #1895.
% 197.88/34.71  | | | 
% 197.88/34.71  | | End of split
% 197.88/34.71  | | 
% 197.88/34.71  | End of split
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1895 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)  op(e1, e2) = all_52_6
% 197.88/34.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.71    (3)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.88/34.71             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.88/34.71           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 197.88/34.71           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 197.88/34.71             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.88/34.71             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 197.88/34.71           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.88/34.71           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.88/34.71           $i(all_57_7) & $i(all_57_10))
% 197.88/34.71    (4)   ~ (e1 = e0)
% 197.88/34.71    (5)  op(e2, e2) = e0
% 197.88/34.71    (6)   ~ (all_52_6 = e1)
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | BETA: splitting (3) gives:
% 197.88/34.71  | 
% 197.88/34.71  | Case 1:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (7)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.88/34.71  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.88/34.71  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 197.88/34.71  | | 
% 197.88/34.71  | | ALPHA: (7) implies:
% 197.88/34.71  | |   (8)  op(e1, e2) = e1
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1970.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (9)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.88/34.71  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.88/34.71  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.88/34.71  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.88/34.71  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.88/34.71  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.88/34.71  | | 
% 197.88/34.71  | | BETA: splitting (9) gives:
% 197.88/34.71  | | 
% 197.88/34.71  | | Case 1:
% 197.88/34.71  | | | 
% 197.88/34.71  | | |   (10)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.88/34.71  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.88/34.71  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.88/34.71  | | |         $i(all_57_14)
% 197.88/34.71  | | | 
% 197.88/34.71  | | | ALPHA: (10) implies:
% 197.88/34.71  | | |   (11)  op(e1, e2) = e1
% 197.88/34.71  | | | 
% 197.88/34.71  | | | REF_CLOSE: (1), (2), (6), (11) are inconsistent by sub-proof #1970.
% 197.88/34.71  | | | 
% 197.88/34.71  | | Case 2:
% 197.88/34.71  | | | 
% 197.88/34.71  | | |   (12)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.88/34.71  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.88/34.71  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.88/34.71  | | |         $i(all_57_10)
% 197.88/34.71  | | | 
% 197.88/34.71  | | | ALPHA: (12) implies:
% 197.88/34.71  | | |   (13)  op(e2, e2) = e1
% 197.88/34.71  | | | 
% 197.88/34.71  | | | REF_CLOSE: (2), (4), (5), (13) are inconsistent by sub-proof #1909.
% 197.88/34.71  | | | 
% 197.88/34.71  | | End of split
% 197.88/34.71  | | 
% 197.88/34.71  | End of split
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1896 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)  all_56_1 = e2 & op(e3, e2) = e2
% 197.88/34.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.71    (3)  op(e3, e2) = all_52_4
% 197.88/34.71    (4)   ~ (all_52_4 = e2)
% 197.88/34.71    (5)   ~ (all_52_4 = e0)
% 197.88/34.71    (6)   ~ (all_52_4 = e1)
% 197.88/34.71    (7)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.88/34.71    (8)  all_54_1 = all_52_4
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | ALPHA: (1) implies:
% 197.88/34.71  |   (9)  op(e3, e2) = e2
% 197.88/34.71  | 
% 197.88/34.71  | BETA: splitting (7) gives:
% 197.88/34.71  | 
% 197.88/34.71  | Case 1:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (10)  all_54_1 = e3
% 197.88/34.71  | | 
% 197.88/34.71  | | COMBINE_EQS: (8), (10) imply:
% 197.88/34.71  | |   (11)  all_52_4 = e3
% 197.88/34.71  | | 
% 197.88/34.71  | | SIMP: (11) implies:
% 197.88/34.71  | |   (12)  all_52_4 = e3
% 197.88/34.71  | | 
% 197.88/34.71  | | REDUCE: (4), (12) imply:
% 197.88/34.71  | |   (13)   ~ (e3 = e2)
% 197.88/34.71  | | 
% 197.88/34.71  | | REDUCE: (3), (12) imply:
% 197.88/34.71  | |   (14)  op(e3, e2) = e3
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (2), (9), (13), (14) are inconsistent by sub-proof #1927.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (15)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (4), (5), (6), (8), (15) are inconsistent by sub-proof #1897.
% 197.88/34.71  | | 
% 197.88/34.71  | End of split
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1897 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)   ~ (all_52_4 = e2)
% 197.88/34.71    (2)   ~ (all_52_4 = e0)
% 197.88/34.71    (3)   ~ (all_52_4 = e1)
% 197.88/34.71    (4)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 197.88/34.71    (5)  all_54_1 = all_52_4
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | BETA: splitting (4) gives:
% 197.88/34.71  | 
% 197.88/34.71  | Case 1:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (6)  all_54_1 = e2
% 197.88/34.71  | | 
% 197.88/34.71  | | COMBINE_EQS: (5), (6) imply:
% 197.88/34.71  | |   (7)  all_52_4 = e2
% 197.88/34.71  | | 
% 197.88/34.71  | | REDUCE: (1), (7) imply:
% 197.88/34.71  | |   (8)  $false
% 197.88/34.71  | | 
% 197.88/34.71  | | CLOSE: (8) is inconsistent.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (9)  all_54_1 = e1 | all_54_1 = e0
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1898.
% 197.88/34.71  | | 
% 197.88/34.71  | End of split
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1898 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)  all_54_1 = e1 | all_54_1 = e0
% 197.88/34.71    (2)  all_54_1 = all_52_4
% 197.88/34.71    (3)   ~ (all_52_4 = e1)
% 197.88/34.71    (4)   ~ (all_52_4 = e0)
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | BETA: splitting (1) gives:
% 197.88/34.71  | 
% 197.88/34.71  | Case 1:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (5)  all_54_1 = e1
% 197.88/34.71  | | 
% 197.88/34.71  | | COMBINE_EQS: (2), (5) imply:
% 197.88/34.71  | |   (6)  all_52_4 = e1
% 197.88/34.71  | | 
% 197.88/34.71  | | REDUCE: (3), (6) imply:
% 197.88/34.71  | |   (7)  $false
% 197.88/34.71  | | 
% 197.88/34.71  | | CLOSE: (7) is inconsistent.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (8)  all_54_1 = e0
% 197.88/34.71  | | 
% 197.88/34.71  | | COMBINE_EQS: (2), (8) imply:
% 197.88/34.71  | |   (9)  all_52_4 = e0
% 197.88/34.71  | | 
% 197.88/34.71  | | REDUCE: (4), (9) imply:
% 197.88/34.71  | |   (10)  $false
% 197.88/34.71  | | 
% 197.88/34.71  | | CLOSE: (10) is inconsistent.
% 197.88/34.71  | | 
% 197.88/34.71  | End of split
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1899 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)  all_54_9 = all_32_0
% 197.88/34.71    (2)  all_54_9 = e3
% 197.88/34.71    (3)   ~ (all_32_0 = e3)
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | COMBINE_EQS: (1), (2) imply:
% 197.88/34.71  |   (4)  all_32_0 = e3
% 197.88/34.71  | 
% 197.88/34.71  | SIMP: (4) implies:
% 197.88/34.71  |   (5)  all_32_0 = e3
% 197.88/34.71  | 
% 197.88/34.71  | REDUCE: (3), (5) imply:
% 197.88/34.71  |   (6)  $false
% 197.88/34.71  | 
% 197.88/34.71  | CLOSE: (6) is inconsistent.
% 197.88/34.71  | 
% 197.88/34.71  End of proof
% 197.88/34.71  
% 197.88/34.71  Sub-proof #1900 shows that the following formulas are inconsistent:
% 197.88/34.71  ----------------------------------------------------------------
% 197.88/34.71    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.88/34.71         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.88/34.71    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.88/34.71         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.88/34.71    (3)   ~ (e3 = e2)
% 197.88/34.71    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.71    (5)  op(e3, e2) = all_52_4
% 197.88/34.71    (6)  op(e2, e2) = all_4_2
% 197.88/34.71    (7)  op(e3, e3) = e1
% 197.88/34.71    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.88/34.71         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.88/34.71    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.88/34.71         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.88/34.71    (10)  all_56_1 = e0
% 197.88/34.71    (11)   ~ (all_4_2 = e3)
% 197.88/34.71    (12)   ~ (all_52_8 = all_52_12)
% 197.88/34.71    (13)   ~ (e1 = e0)
% 197.88/34.71    (14)   ~ (all_52_4 = e1)
% 197.88/34.71    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.88/34.71          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.88/34.71    (16)   ~ (e2 = e1)
% 197.88/34.71    (17)  op(e3, e0) = all_52_12
% 197.88/34.71    (18)  op(e3, e1) = all_52_8
% 197.88/34.71    (19)  op(e2, e2) = e0
% 197.88/34.71    (20)   ~ (e3 = e1)
% 197.88/34.71    (21)   ~ (e2 = e0)
% 197.88/34.71    (22)   ~ (e3 = e0)
% 197.88/34.71    (23)  all_56_13 = e1
% 197.88/34.71  
% 197.88/34.71  Begin of proof
% 197.88/34.71  | 
% 197.88/34.71  | BETA: splitting (8) gives:
% 197.88/34.71  | 
% 197.88/34.71  | Case 1:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (24)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.88/34.71  | |           e3)
% 197.88/34.71  | | 
% 197.88/34.71  | | REF_CLOSE: (4), (6), (10), (11), (22), (24) are inconsistent by sub-proof
% 197.88/34.71  | |            #1928.
% 197.88/34.71  | | 
% 197.88/34.71  | Case 2:
% 197.88/34.71  | | 
% 197.88/34.71  | |   (25)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 197.88/34.71  | |           e3)
% 197.88/34.71  | | 
% 197.88/34.71  | | BETA: splitting (25) gives:
% 197.88/34.71  | | 
% 197.88/34.71  | | Case 1:
% 197.88/34.71  | | | 
% 197.88/34.71  | | |   (26)  all_56_7 = e3 & op(e1, e2) = e3
% 197.88/34.71  | | | 
% 197.88/34.71  | | | ALPHA: (26) implies:
% 197.88/34.71  | | |   (27)  all_56_7 = e3
% 197.88/34.71  | | | 
% 197.88/34.71  | | | BETA: splitting (15) gives:
% 197.88/34.71  | | | 
% 197.88/34.71  | | | Case 1:
% 197.88/34.71  | | | | 
% 197.88/34.71  | | | |   (28)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2)
% 197.88/34.71  | | | |           = e3)
% 197.88/34.71  | | | | 
% 197.88/34.71  | | | | BETA: splitting (28) gives:
% 197.88/34.71  | | | | 
% 197.88/34.71  | | | | Case 1:
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | |   (29)  all_56_0 = e3 & op(e3, e3) = e3
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | | ALPHA: (29) implies:
% 197.88/34.71  | | | | |   (30)  op(e3, e3) = e3
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | | REF_CLOSE: (4), (7), (20), (30) are inconsistent by sub-proof #1966.
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | Case 2:
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | |   (31)  all_56_1 = e3 & op(e3, e2) = e3
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | | ALPHA: (31) implies:
% 197.88/34.71  | | | | |   (32)  op(e3, e2) = e3
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | | REF_CLOSE: (2), (3), (4), (16), (19), (21), (23), (27), (32) are
% 197.88/34.71  | | | | |            inconsistent by sub-proof #1923.
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | End of split
% 197.88/34.71  | | | | 
% 197.88/34.71  | | | Case 2:
% 197.88/34.71  | | | | 
% 197.88/34.71  | | | |   (33)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0)
% 197.88/34.71  | | | |           = e3)
% 197.88/34.71  | | | | 
% 197.88/34.71  | | | | BETA: splitting (33) gives:
% 197.88/34.71  | | | | 
% 197.88/34.71  | | | | Case 1:
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | |   (34)  all_56_4 = e3 & op(e3, e1) = e3
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | | ALPHA: (34) implies:
% 197.88/34.71  | | | | |   (35)  all_56_4 = e3
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | | REF_CLOSE: (2), (3), (4), (7), (9), (10), (16), (19), (21), (23),
% 197.88/34.71  | | | | |            (27), (35) are inconsistent by sub-proof #1915.
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | Case 2:
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | |   (36)  all_56_9 = e3 & op(e3, e0) = e3
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | | ALPHA: (36) implies:
% 197.88/34.71  | | | | |   (37)  all_56_9 = e3
% 197.88/34.71  | | | | |   (38)  op(e3, e0) = e3
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | | BETA: splitting (2) gives:
% 197.88/34.71  | | | | | 
% 197.88/34.71  | | | | | Case 1:
% 197.88/34.71  | | | | | | 
% 197.88/34.71  | | | | | |   (39)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2,
% 197.88/34.72  | | | | | |             e2) = e2)
% 197.88/34.72  | | | | | | 
% 197.88/34.72  | | | | | | REF_CLOSE: (4), (10), (19), (21), (39) are inconsistent by sub-proof
% 197.88/34.72  | | | | | |            #1914.
% 197.88/34.72  | | | | | | 
% 197.88/34.72  | | | | | Case 2:
% 197.88/34.72  | | | | | | 
% 197.88/34.72  | | | | | |   (40)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0,
% 197.88/34.72  | | | | | |             e2) = e2)
% 197.88/34.72  | | | | | | 
% 197.88/34.72  | | | | | | BETA: splitting (40) gives:
% 197.88/34.72  | | | | | | 
% 197.88/34.72  | | | | | | Case 1:
% 197.88/34.72  | | | | | | | 
% 197.88/34.72  | | | | | | |   (41)  all_56_7 = e2 & op(e1, e2) = e2
% 197.88/34.72  | | | | | | | 
% 197.88/34.72  | | | | | | | ALPHA: (41) implies:
% 197.88/34.72  | | | | | | |   (42)  all_56_7 = e2
% 197.88/34.72  | | | | | | | 
% 197.88/34.72  | | | | | | | COMBINE_EQS: (27), (42) imply:
% 197.88/34.72  | | | | | | |   (43)  e3 = e2
% 197.88/34.72  | | | | | | | 
% 197.88/34.72  | | | | | | | COMBINE_EQS: (37), (43) imply:
% 197.88/34.72  | | | | | | |   (44)  all_56_9 = e2
% 197.88/34.72  | | | | | | | 
% 197.88/34.72  | | | | | | | REF_CLOSE: (3), (4), (7), (10), (12), (15), (17), (18), (20),
% 197.88/34.72  | | | | | | |            (22), (38), (44) are inconsistent by sub-proof #1911.
% 197.88/34.72  | | | | | | | 
% 197.88/34.72  | | | | | | Case 2:
% 197.88/34.72  | | | | | | | 
% 197.88/34.72  | | | | | | |   (45)  all_56_13 = e2 & op(e0, e2) = e2
% 197.88/34.72  | | | | | | | 
% 197.88/34.72  | | | | | | | ALPHA: (45) implies:
% 197.88/34.72  | | | | | | |   (46)  all_56_13 = e2
% 197.88/34.72  | | | | | | | 
% 197.88/34.72  | | | | | | | REF_CLOSE: (16), (23), (46) are inconsistent by sub-proof #1916.
% 197.88/34.72  | | | | | | | 
% 197.88/34.72  | | | | | | End of split
% 197.88/34.72  | | | | | | 
% 197.88/34.72  | | | | | End of split
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | End of split
% 197.88/34.72  | | | | 
% 197.88/34.72  | | | End of split
% 197.88/34.72  | | | 
% 197.88/34.72  | | Case 2:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (47)  all_56_13 = e3 & op(e0, e2) = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | ALPHA: (47) implies:
% 197.88/34.72  | | |   (48)  all_56_13 = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (11), (13), (14),
% 197.88/34.72  | | |            (16), (19), (20), (21), (22), (48) are inconsistent by
% 197.88/34.72  | | |            sub-proof #1901.
% 197.88/34.72  | | | 
% 197.88/34.72  | | End of split
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1901 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 197.88/34.72         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 197.88/34.72    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.88/34.72         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.88/34.72    (3)   ~ (e3 = e2)
% 197.88/34.72    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (5)  all_56_13 = e3
% 197.88/34.72    (6)  op(e3, e2) = all_52_4
% 197.88/34.72    (7)  op(e2, e2) = all_4_2
% 197.88/34.72    (8)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.88/34.72         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.88/34.72    (9)  all_56_1 = e0
% 197.88/34.72    (10)   ~ (all_4_2 = e3)
% 197.88/34.72    (11)   ~ (e1 = e0)
% 197.88/34.72    (12)   ~ (all_52_4 = e1)
% 197.88/34.72    (13)   ~ (e2 = e1)
% 197.88/34.72    (14)  op(e2, e2) = e0
% 197.88/34.72    (15)   ~ (e3 = e1)
% 197.88/34.72    (16)   ~ (e2 = e0)
% 197.88/34.72    (17)   ~ (e3 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (1) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (18)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 197.88/34.72  | |           e1)
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (4), (6), (11), (12), (14), (18) are inconsistent by sub-proof
% 197.88/34.72  | |            #1908.
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (19)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 197.88/34.72  | |           e1)
% 197.88/34.72  | | 
% 197.88/34.72  | | BETA: splitting (19) gives:
% 197.88/34.72  | | 
% 197.88/34.72  | | Case 1:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (20)  all_56_7 = e1 & op(e1, e2) = e1
% 197.88/34.72  | | | 
% 197.88/34.72  | | | ALPHA: (20) implies:
% 197.88/34.72  | | |   (21)  all_56_7 = e1
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (10), (13), (14), (15), (16),
% 197.88/34.72  | | |            (17), (21) are inconsistent by sub-proof #1903.
% 197.88/34.72  | | | 
% 197.88/34.72  | | Case 2:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (22)  all_56_13 = e1 & op(e0, e2) = e1
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (5), (15), (22) are inconsistent by sub-proof #1902.
% 197.88/34.72  | | | 
% 197.88/34.72  | | End of split
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1902 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  all_56_13 = e1 & op(e0, e2) = e1
% 197.88/34.72    (2)  all_56_13 = e3
% 197.88/34.72    (3)   ~ (e3 = e1)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | ALPHA: (1) implies:
% 197.88/34.72  |   (4)  all_56_13 = e1
% 197.88/34.72  | 
% 197.88/34.72  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.72  |   (5)  e3 = e1
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (3), (5) imply:
% 197.88/34.72  |   (6)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (6) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1903 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.88/34.72         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.88/34.72    (2)   ~ (e3 = e2)
% 197.88/34.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (4)  op(e2, e2) = all_4_2
% 197.88/34.72    (5)  all_56_7 = e1
% 197.88/34.72    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 197.88/34.72         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 197.88/34.72    (7)  all_56_1 = e0
% 197.88/34.72    (8)   ~ (all_4_2 = e3)
% 197.88/34.72    (9)   ~ (e2 = e1)
% 197.88/34.72    (10)  op(e2, e2) = e0
% 197.88/34.72    (11)   ~ (e3 = e1)
% 197.88/34.72    (12)   ~ (e2 = e0)
% 197.88/34.72    (13)   ~ (e3 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (6) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (14)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 197.88/34.72  | |           e3)
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (3), (4), (7), (8), (13), (14) are inconsistent by sub-proof
% 197.88/34.72  | |            #1928.
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (15)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 197.88/34.72  | |           e3)
% 197.88/34.72  | | 
% 197.88/34.72  | | BETA: splitting (15) gives:
% 197.88/34.72  | | 
% 197.88/34.72  | | Case 1:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (16)  all_56_7 = e3 & op(e1, e2) = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | ALPHA: (16) implies:
% 197.88/34.72  | | |   (17)  all_56_7 = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (5), (11), (17) are inconsistent by sub-proof #1907.
% 197.88/34.72  | | | 
% 197.88/34.72  | | Case 2:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (18)  all_56_13 = e3 & op(e0, e2) = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | ALPHA: (18) implies:
% 197.88/34.72  | | |   (19)  all_56_13 = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (1), (2), (3), (5), (7), (9), (10), (12), (19) are inconsistent
% 197.88/34.72  | | |            by sub-proof #1904.
% 197.88/34.72  | | | 
% 197.88/34.72  | | End of split
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1904 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.88/34.72         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.88/34.72    (2)   ~ (e3 = e2)
% 197.88/34.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (4)  all_56_13 = e3
% 197.88/34.72    (5)  all_56_7 = e1
% 197.88/34.72    (6)  all_56_1 = e0
% 197.88/34.72    (7)   ~ (e2 = e1)
% 197.88/34.72    (8)  op(e2, e2) = e0
% 197.88/34.72    (9)   ~ (e2 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (1) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.88/34.72  | |           e2)
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (3), (6), (8), (9), (10) are inconsistent by sub-proof #1914.
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (11)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 197.88/34.72  | |           e2)
% 197.88/34.72  | | 
% 197.88/34.72  | | BETA: splitting (11) gives:
% 197.88/34.72  | | 
% 197.88/34.72  | | Case 1:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (12)  all_56_7 = e2 & op(e1, e2) = e2
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (5), (7), (12) are inconsistent by sub-proof #1906.
% 197.88/34.72  | | | 
% 197.88/34.72  | | Case 2:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (13)  all_56_13 = e2 & op(e0, e2) = e2
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (2), (4), (13) are inconsistent by sub-proof #1905.
% 197.88/34.72  | | | 
% 197.88/34.72  | | End of split
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1905 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  all_56_13 = e2 & op(e0, e2) = e2
% 197.88/34.72    (2)  all_56_13 = e3
% 197.88/34.72    (3)   ~ (e3 = e2)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | ALPHA: (1) implies:
% 197.88/34.72  |   (4)  all_56_13 = e2
% 197.88/34.72  | 
% 197.88/34.72  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.72  |   (5)  e3 = e2
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (3), (5) imply:
% 197.88/34.72  |   (6)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (6) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1906 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  all_56_7 = e2 & op(e1, e2) = e2
% 197.88/34.72    (2)  all_56_7 = e1
% 197.88/34.72    (3)   ~ (e2 = e1)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | ALPHA: (1) implies:
% 197.88/34.72  |   (4)  all_56_7 = e2
% 197.88/34.72  | 
% 197.88/34.72  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.72  |   (5)  e2 = e1
% 197.88/34.72  | 
% 197.88/34.72  | SIMP: (5) implies:
% 197.88/34.72  |   (6)  e2 = e1
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (3), (6) imply:
% 197.88/34.72  |   (7)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (7) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1907 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  all_56_7 = e3
% 197.88/34.72    (2)  all_56_7 = e1
% 197.88/34.72    (3)   ~ (e3 = e1)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | COMBINE_EQS: (1), (2) imply:
% 197.88/34.72  |   (4)  e3 = e1
% 197.88/34.72  | 
% 197.88/34.72  | SIMP: (4) implies:
% 197.88/34.72  |   (5)  e3 = e1
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (3), (5) imply:
% 197.88/34.72  |   (6)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (6) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1908 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (2)  op(e3, e2) = all_52_4
% 197.88/34.72    (3)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 197.88/34.72    (4)   ~ (e1 = e0)
% 197.88/34.72    (5)   ~ (all_52_4 = e1)
% 197.88/34.72    (6)  op(e2, e2) = e0
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (3) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (7)  all_56_1 = e1 & op(e3, e2) = e1
% 197.88/34.72  | | 
% 197.88/34.72  | | ALPHA: (7) implies:
% 197.88/34.72  | |   (8)  op(e3, e2) = e1
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1910.
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 197.88/34.72  | | 
% 197.88/34.72  | | ALPHA: (9) implies:
% 197.88/34.72  | |   (10)  op(e2, e2) = e1
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1909.
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1909 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (2)  op(e2, e2) = e1
% 197.88/34.72    (3)  op(e2, e2) = e0
% 197.88/34.72    (4)   ~ (e1 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | GROUND_INST: instantiating (1) with e1, e0, e2, e2, simplifying with (2), (3)
% 197.88/34.72  |              gives:
% 197.88/34.72  |   (5)  e1 = e0
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (4), (5) imply:
% 197.88/34.72  |   (6)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (6) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1910 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (2)  op(e3, e2) = all_52_4
% 197.88/34.72    (3)  op(e3, e2) = e1
% 197.88/34.72    (4)   ~ (all_52_4 = e1)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | GROUND_INST: instantiating (1) with all_52_4, e1, e2, e3, simplifying with
% 197.88/34.72  |              (2), (3) gives:
% 197.88/34.72  |   (5)  all_52_4 = e1
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (4), (5) imply:
% 197.88/34.72  |   (6)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (6) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1911 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  op(e3, e0) = e3
% 197.88/34.72    (2)  all_56_9 = e2
% 197.88/34.72    (3)   ~ (e3 = e2)
% 197.88/34.72    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (5)  op(e3, e3) = e1
% 197.88/34.72    (6)  all_56_1 = e0
% 197.88/34.72    (7)   ~ (all_52_8 = all_52_12)
% 197.88/34.72    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 197.88/34.72         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 197.88/34.72    (9)  op(e3, e0) = all_52_12
% 197.88/34.72    (10)  op(e3, e1) = all_52_8
% 197.88/34.72    (11)   ~ (e3 = e1)
% 197.88/34.72    (12)   ~ (e3 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (8) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 197.88/34.72  | |           e3)
% 197.88/34.72  | | 
% 197.88/34.72  | | BETA: splitting (13) gives:
% 197.88/34.72  | | 
% 197.88/34.72  | | Case 1:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (14)  all_56_0 = e3 & op(e3, e3) = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | ALPHA: (14) implies:
% 197.88/34.72  | | |   (15)  op(e3, e3) = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (4), (5), (11), (15) are inconsistent by sub-proof #1966.
% 197.88/34.72  | | | 
% 197.88/34.72  | | Case 2:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (16)  all_56_1 = e3 & op(e3, e2) = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (6), (12), (16) are inconsistent by sub-proof #1913.
% 197.88/34.72  | | | 
% 197.88/34.72  | | End of split
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (17)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 197.88/34.72  | |           e3)
% 197.88/34.72  | | 
% 197.88/34.72  | | BETA: splitting (17) gives:
% 197.88/34.72  | | 
% 197.88/34.72  | | Case 1:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (18)  all_56_4 = e3 & op(e3, e1) = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | ALPHA: (18) implies:
% 197.88/34.72  | | |   (19)  op(e3, e1) = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (1), (4), (7), (9), (10), (19) are inconsistent by sub-proof
% 197.88/34.72  | | |            #1912.
% 197.88/34.72  | | | 
% 197.88/34.72  | | Case 2:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (20)  all_56_9 = e3 & op(e3, e0) = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | ALPHA: (20) implies:
% 197.88/34.72  | | |   (21)  all_56_9 = e3
% 197.88/34.72  | | | 
% 197.88/34.72  | | | COMBINE_EQS: (2), (21) imply:
% 197.88/34.72  | | |   (22)  e3 = e2
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REDUCE: (3), (22) imply:
% 197.88/34.72  | | |   (23)  $false
% 197.88/34.72  | | | 
% 197.88/34.72  | | | CLOSE: (23) is inconsistent.
% 197.88/34.72  | | | 
% 197.88/34.72  | | End of split
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1912 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  op(e3, e0) = e3
% 197.88/34.72    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (3)  op(e3, e1) = e3
% 197.88/34.72    (4)   ~ (all_52_8 = all_52_12)
% 197.88/34.72    (5)  op(e3, e0) = all_52_12
% 197.88/34.72    (6)  op(e3, e1) = all_52_8
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | GROUND_INST: instantiating (2) with all_52_12, e3, e0, e3, simplifying with
% 197.88/34.72  |              (1), (5) gives:
% 197.88/34.72  |   (7)  all_52_12 = e3
% 197.88/34.72  | 
% 197.88/34.72  | GROUND_INST: instantiating (2) with all_52_8, e3, e1, e3, simplifying with
% 197.88/34.72  |              (3), (6) gives:
% 197.88/34.72  |   (8)  all_52_8 = e3
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (4), (7), (8) imply:
% 197.88/34.72  |   (9)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (9) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1913 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  all_56_1 = e3 & op(e3, e2) = e3
% 197.88/34.72    (2)  all_56_1 = e0
% 197.88/34.72    (3)   ~ (e3 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | ALPHA: (1) implies:
% 197.88/34.72  |   (4)  all_56_1 = e3
% 197.88/34.72  | 
% 197.88/34.72  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.72  |   (5)  e3 = e0
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (3), (5) imply:
% 197.88/34.72  |   (6)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (6) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1914 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 197.88/34.72    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (3)  all_56_1 = e0
% 197.88/34.72    (4)  op(e2, e2) = e0
% 197.88/34.72    (5)   ~ (e2 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (1) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (6)  all_56_1 = e2 & op(e3, e2) = e2
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #1922.
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (7)  all_56_3 = e2 & op(e2, e2) = e2
% 197.88/34.72  | | 
% 197.88/34.72  | | ALPHA: (7) implies:
% 197.88/34.72  | |   (8)  op(e2, e2) = e2
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1939.
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1915 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.88/34.72         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.88/34.72    (2)   ~ (e3 = e2)
% 197.88/34.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (4)  op(e3, e3) = e1
% 197.88/34.72    (5)  all_56_4 = e3
% 197.88/34.72    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.88/34.72         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.88/34.72    (7)  all_56_1 = e0
% 197.88/34.72    (8)  all_56_7 = e3
% 197.88/34.72    (9)   ~ (e2 = e1)
% 197.88/34.72    (10)  op(e2, e2) = e0
% 197.88/34.72    (11)   ~ (e2 = e0)
% 197.88/34.72    (12)  all_56_13 = e1
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (6) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 197.88/34.72  | |           e2)
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (3), (4), (7), (9), (11), (13) are inconsistent by sub-proof
% 197.88/34.72  | |            #1921.
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (14)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 197.88/34.72  | |           e2)
% 197.88/34.72  | | 
% 197.88/34.72  | | BETA: splitting (14) gives:
% 197.88/34.72  | | 
% 197.88/34.72  | | Case 1:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (15)  all_56_4 = e2 & op(e3, e1) = e2
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (2), (5), (15) are inconsistent by sub-proof #1920.
% 197.88/34.72  | | | 
% 197.88/34.72  | | Case 2:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (16)  all_56_9 = e2 & op(e3, e0) = e2
% 197.88/34.72  | | | 
% 197.88/34.72  | | | ALPHA: (16) implies:
% 197.88/34.72  | | |   (17)  all_56_9 = e2
% 197.88/34.72  | | | 
% 197.88/34.72  | | | BETA: splitting (1) gives:
% 197.88/34.72  | | | 
% 197.88/34.72  | | | Case 1:
% 197.88/34.72  | | | | 
% 197.88/34.72  | | | |   (18)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2)
% 197.88/34.72  | | | |           = e2)
% 197.88/34.72  | | | | 
% 197.88/34.72  | | | | BETA: splitting (18) gives:
% 197.88/34.72  | | | | 
% 197.88/34.72  | | | | Case 1:
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | |   (19)  all_56_1 = e2 & op(e3, e2) = e2
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | | ALPHA: (19) implies:
% 197.88/34.72  | | | | |   (20)  all_56_1 = e2
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | | COMBINE_EQS: (7), (20) imply:
% 197.88/34.72  | | | | |   (21)  e2 = e0
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | | SIMP: (21) implies:
% 197.88/34.72  | | | | |   (22)  e2 = e0
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | | COMBINE_EQS: (17), (22) imply:
% 197.88/34.72  | | | | |   (23)  all_56_9 = e0
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (11), (23) are
% 197.88/34.72  | | | | |            inconsistent by sub-proof #1917.
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | Case 2:
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | |   (24)  all_56_3 = e2 & op(e2, e2) = e2
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | | ALPHA: (24) implies:
% 197.88/34.72  | | | | |   (25)  op(e2, e2) = e2
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | | REF_CLOSE: (3), (10), (11), (25) are inconsistent by sub-proof #1939.
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | End of split
% 197.88/34.72  | | | | 
% 197.88/34.72  | | | Case 2:
% 197.88/34.72  | | | | 
% 197.88/34.72  | | | |   (26)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2)
% 197.88/34.72  | | | |           = e2)
% 197.88/34.72  | | | | 
% 197.88/34.72  | | | | BETA: splitting (26) gives:
% 197.88/34.72  | | | | 
% 197.88/34.72  | | | | Case 1:
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | |   (27)  all_56_7 = e2 & op(e1, e2) = e2
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | | REF_CLOSE: (2), (8), (27) are inconsistent by sub-proof #1925.
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | Case 2:
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | |   (28)  all_56_13 = e2 & op(e0, e2) = e2
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | | ALPHA: (28) implies:
% 197.88/34.72  | | | | |   (29)  all_56_13 = e2
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | | REF_CLOSE: (9), (12), (29) are inconsistent by sub-proof #1916.
% 197.88/34.72  | | | | | 
% 197.88/34.72  | | | | End of split
% 197.88/34.72  | | | | 
% 197.88/34.72  | | | End of split
% 197.88/34.72  | | | 
% 197.88/34.72  | | End of split
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1916 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  all_56_13 = e2
% 197.88/34.72    (2)  all_56_13 = e1
% 197.88/34.72    (3)   ~ (e2 = e1)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | COMBINE_EQS: (1), (2) imply:
% 197.88/34.72  |   (4)  e2 = e1
% 197.88/34.72  | 
% 197.88/34.72  | SIMP: (4) implies:
% 197.88/34.72  |   (5)  e2 = e1
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (3), (5) imply:
% 197.88/34.72  |   (6)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (6) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1917 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)   ~ (e3 = e2)
% 197.88/34.72    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (3)  op(e3, e3) = e1
% 197.88/34.72    (4)  all_56_4 = e3
% 197.88/34.72    (5)  all_56_9 = e0
% 197.88/34.72    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 197.88/34.72         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.88/34.72    (7)  all_56_1 = e0
% 197.88/34.72    (8)   ~ (e2 = e1)
% 197.88/34.72    (9)   ~ (e2 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (6) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 197.88/34.72  | |           e2)
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (2), (3), (7), (8), (9), (10) are inconsistent by sub-proof
% 197.88/34.72  | |            #1921.
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 197.88/34.72  | |           e2)
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (1), (4), (5), (9), (11) are inconsistent by sub-proof #1918.
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1918 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)   ~ (e3 = e2)
% 197.88/34.72    (2)  all_56_4 = e3
% 197.88/34.72    (3)  all_56_9 = e0
% 197.88/34.72    (4)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 197.88/34.72    (5)   ~ (e2 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (4) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (6)  all_56_4 = e2 & op(e3, e1) = e2
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #1920.
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (7)  all_56_9 = e2 & op(e3, e0) = e2
% 197.88/34.72  | | 
% 197.88/34.72  | | ALPHA: (7) implies:
% 197.88/34.72  | |   (8)  all_56_9 = e2
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #1919.
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1919 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  all_56_9 = e2
% 197.88/34.72    (2)  all_56_9 = e0
% 197.88/34.72    (3)   ~ (e2 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | COMBINE_EQS: (1), (2) imply:
% 197.88/34.72  |   (4)  e2 = e0
% 197.88/34.72  | 
% 197.88/34.72  | SIMP: (4) implies:
% 197.88/34.72  |   (5)  e2 = e0
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (3), (5) imply:
% 197.88/34.72  |   (6)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (6) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1920 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  all_56_4 = e2 & op(e3, e1) = e2
% 197.88/34.72    (2)  all_56_4 = e3
% 197.88/34.72    (3)   ~ (e3 = e2)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | ALPHA: (1) implies:
% 197.88/34.72  |   (4)  all_56_4 = e2
% 197.88/34.72  | 
% 197.88/34.72  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.72  |   (5)  e3 = e2
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (3), (5) imply:
% 197.88/34.72  |   (6)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (6) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1921 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (2)  op(e3, e3) = e1
% 197.88/34.72    (3)  all_56_1 = e0
% 197.88/34.72    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 197.88/34.72    (5)   ~ (e2 = e1)
% 197.88/34.72    (6)   ~ (e2 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (4) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 197.88/34.72  | | 
% 197.88/34.72  | | ALPHA: (7) implies:
% 197.88/34.72  | |   (8)  op(e3, e3) = e2
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1934.
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #1922.
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1922 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  all_56_1 = e2 & op(e3, e2) = e2
% 197.88/34.72    (2)  all_56_1 = e0
% 197.88/34.72    (3)   ~ (e2 = e0)
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | ALPHA: (1) implies:
% 197.88/34.72  |   (4)  all_56_1 = e2
% 197.88/34.72  | 
% 197.88/34.72  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.72  |   (5)  e2 = e0
% 197.88/34.72  | 
% 197.88/34.72  | SIMP: (5) implies:
% 197.88/34.72  |   (6)  e2 = e0
% 197.88/34.72  | 
% 197.88/34.72  | REDUCE: (3), (6) imply:
% 197.88/34.72  |   (7)  $false
% 197.88/34.72  | 
% 197.88/34.72  | CLOSE: (7) is inconsistent.
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1923 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 197.88/34.72         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 197.88/34.72    (2)   ~ (e3 = e2)
% 197.88/34.72    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.72           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.72    (4)  all_56_7 = e3
% 197.88/34.72    (5)  op(e3, e2) = e3
% 197.88/34.72    (6)   ~ (e2 = e1)
% 197.88/34.72    (7)  op(e2, e2) = e0
% 197.88/34.72    (8)   ~ (e2 = e0)
% 197.88/34.72    (9)  all_56_13 = e1
% 197.88/34.72  
% 197.88/34.72  Begin of proof
% 197.88/34.72  | 
% 197.88/34.72  | BETA: splitting (1) gives:
% 197.88/34.72  | 
% 197.88/34.72  | Case 1:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 197.88/34.72  | |           e2)
% 197.88/34.72  | | 
% 197.88/34.72  | | REF_CLOSE: (2), (3), (5), (7), (8), (10) are inconsistent by sub-proof
% 197.88/34.72  | |            #1926.
% 197.88/34.72  | | 
% 197.88/34.72  | Case 2:
% 197.88/34.72  | | 
% 197.88/34.72  | |   (11)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 197.88/34.72  | |           e2)
% 197.88/34.72  | | 
% 197.88/34.72  | | BETA: splitting (11) gives:
% 197.88/34.72  | | 
% 197.88/34.72  | | Case 1:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (12)  all_56_7 = e2 & op(e1, e2) = e2
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (2), (4), (12) are inconsistent by sub-proof #1925.
% 197.88/34.72  | | | 
% 197.88/34.72  | | Case 2:
% 197.88/34.72  | | | 
% 197.88/34.72  | | |   (13)  all_56_13 = e2 & op(e0, e2) = e2
% 197.88/34.72  | | | 
% 197.88/34.72  | | | REF_CLOSE: (6), (9), (13) are inconsistent by sub-proof #1924.
% 197.88/34.72  | | | 
% 197.88/34.72  | | End of split
% 197.88/34.72  | | 
% 197.88/34.72  | End of split
% 197.88/34.72  | 
% 197.88/34.72  End of proof
% 197.88/34.72  
% 197.88/34.72  Sub-proof #1924 shows that the following formulas are inconsistent:
% 197.88/34.72  ----------------------------------------------------------------
% 197.88/34.72    (1)  all_56_13 = e2 & op(e0, e2) = e2
% 197.88/34.72    (2)  all_56_13 = e1
% 197.88/34.72    (3)   ~ (e2 = e1)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | ALPHA: (1) implies:
% 197.88/34.73  |   (4)  all_56_13 = e2
% 197.88/34.73  | 
% 197.88/34.73  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.73  |   (5)  e2 = e1
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (3), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1925 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)  all_56_7 = e2 & op(e1, e2) = e2
% 197.88/34.73    (2)  all_56_7 = e3
% 197.88/34.73    (3)   ~ (e3 = e2)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | ALPHA: (1) implies:
% 197.88/34.73  |   (4)  all_56_7 = e2
% 197.88/34.73  | 
% 197.88/34.73  | COMBINE_EQS: (2), (4) imply:
% 197.88/34.73  |   (5)  e3 = e2
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (3), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1926 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 197.88/34.73    (2)   ~ (e3 = e2)
% 197.88/34.73    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (4)  op(e3, e2) = e3
% 197.88/34.73    (5)  op(e2, e2) = e0
% 197.88/34.73    (6)   ~ (e2 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | BETA: splitting (1) gives:
% 197.88/34.73  | 
% 197.88/34.73  | Case 1:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | ALPHA: (7) implies:
% 197.88/34.73  | |   (8)  op(e3, e2) = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1927.
% 197.88/34.73  | | 
% 197.88/34.73  | Case 2:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | ALPHA: (9) implies:
% 197.88/34.73  | |   (10)  op(e2, e2) = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1939.
% 197.88/34.73  | | 
% 197.88/34.73  | End of split
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1927 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e3, e2) = e3
% 197.88/34.73    (3)  op(e3, e2) = e2
% 197.88/34.73    (4)   ~ (e3 = e2)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | GROUND_INST: instantiating (1) with e2, e3, e2, e3, simplifying with (2), (3)
% 197.88/34.73  |              gives:
% 197.88/34.73  |   (5)  e3 = e2
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (4), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1928 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e2, e2) = all_4_2
% 197.88/34.73    (3)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 197.88/34.73    (4)  all_56_1 = e0
% 197.88/34.73    (5)   ~ (all_4_2 = e3)
% 197.88/34.73    (6)   ~ (e3 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | BETA: splitting (3) gives:
% 197.88/34.73  | 
% 197.88/34.73  | Case 1:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 197.88/34.73  | | 
% 197.88/34.73  | | ALPHA: (7) implies:
% 197.88/34.73  | |   (8)  all_56_1 = e3
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #1929.
% 197.88/34.73  | | 
% 197.88/34.73  | Case 2:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 197.88/34.73  | | 
% 197.88/34.73  | | ALPHA: (9) implies:
% 197.88/34.73  | |   (10)  op(e2, e2) = e3
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1975.
% 197.88/34.73  | | 
% 197.88/34.73  | End of split
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1929 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)  all_56_1 = e3
% 197.88/34.73    (2)  all_56_1 = e0
% 197.88/34.73    (3)   ~ (e3 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | COMBINE_EQS: (1), (2) imply:
% 197.88/34.73  |   (4)  e3 = e0
% 197.88/34.73  | 
% 197.88/34.73  | SIMP: (4) implies:
% 197.88/34.73  |   (5)  e3 = e0
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (3), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1930 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)  op(e1, e1) = e1
% 197.88/34.73    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (3)  op(e2, e2) = all_4_2
% 197.88/34.73    (4)  op(e3, e3) = e1
% 197.88/34.73    (5)  op(e0, e3) = all_52_3
% 197.88/34.73    (6)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.88/34.73             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.88/34.73           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.88/34.73           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.88/34.73             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.88/34.73           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.88/34.73           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.88/34.73           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.88/34.73           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.88/34.73           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.88/34.73           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.88/34.73         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.88/34.73             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.88/34.73           $i(all_57_7))
% 197.88/34.73    (7)  op(e0, e1) = all_52_11
% 197.88/34.73    (8)   ~ (all_4_2 = e1)
% 197.88/34.73    (9)   ~ (all_4_2 = e3)
% 197.88/34.73    (10)   ~ (e2 = e1)
% 197.88/34.73    (11)   ~ (all_52_11 = e0)
% 197.88/34.73    (12)   ~ (all_52_3 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | BETA: splitting (6) gives:
% 197.88/34.73  | 
% 197.88/34.73  | Case 1:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (13)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 197.88/34.73  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.88/34.73  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.88/34.73  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 197.88/34.73  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 197.88/34.73  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.88/34.73  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.88/34.73  | |           $i(all_57_3))
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (2), (3), (4), (5), (9), (10), (12), (13) are inconsistent by
% 197.88/34.73  | |            sub-proof #1932.
% 197.88/34.73  | | 
% 197.88/34.73  | Case 2:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (14)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.88/34.73  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.88/34.73  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.88/34.73  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.88/34.73  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.88/34.73  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.88/34.73  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.88/34.73  | |           $i(all_57_7))
% 197.88/34.73  | | 
% 197.88/34.73  | | BETA: splitting (14) gives:
% 197.88/34.73  | | 
% 197.88/34.73  | | Case 1:
% 197.88/34.73  | | | 
% 197.88/34.73  | | |   (15)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.88/34.73  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.88/34.73  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 197.88/34.73  | | | 
% 197.88/34.73  | | | ALPHA: (15) implies:
% 197.88/34.73  | | |   (16)  op(e1, e1) = e2
% 197.88/34.73  | | | 
% 197.88/34.73  | | | REF_CLOSE: (1), (2), (10), (16) are inconsistent by sub-proof #1955.
% 197.88/34.73  | | | 
% 197.88/34.73  | | Case 2:
% 197.88/34.73  | | | 
% 197.88/34.73  | | |   (17)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.88/34.73  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.88/34.73  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.88/34.73  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 197.88/34.73  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.88/34.73  | | | 
% 197.88/34.73  | | | BETA: splitting (17) gives:
% 197.88/34.73  | | | 
% 197.88/34.73  | | | Case 1:
% 197.88/34.73  | | | | 
% 197.88/34.73  | | | |   (18)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.88/34.73  | | | |         (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.88/34.73  | | | |         op(e0, e1) = e0 & $i(all_57_6)
% 197.88/34.73  | | | | 
% 197.88/34.73  | | | | ALPHA: (18) implies:
% 197.88/34.73  | | | |   (19)  op(e0, e1) = e0
% 197.88/34.73  | | | | 
% 197.88/34.73  | | | | REF_CLOSE: (2), (7), (11), (19) are inconsistent by sub-proof #1931.
% 197.88/34.73  | | | | 
% 197.88/34.73  | | | Case 2:
% 197.88/34.73  | | | | 
% 197.88/34.73  | | | |   (20)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.88/34.73  | | | |         (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.88/34.73  | | | |         op(e0, e1) = e0 & $i(all_57_7)
% 197.88/34.73  | | | | 
% 197.88/34.73  | | | | ALPHA: (20) implies:
% 197.88/34.73  | | | |   (21)  op(e2, e2) = e1
% 197.88/34.73  | | | | 
% 197.88/34.73  | | | | REF_CLOSE: (2), (3), (8), (21) are inconsistent by sub-proof #1969.
% 197.88/34.73  | | | | 
% 197.88/34.73  | | | End of split
% 197.88/34.73  | | | 
% 197.88/34.73  | | End of split
% 197.88/34.73  | | 
% 197.88/34.73  | End of split
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1931 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e0, e1) = all_52_11
% 197.88/34.73    (3)  op(e0, e1) = e0
% 197.88/34.73    (4)   ~ (all_52_11 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | GROUND_INST: instantiating (1) with all_52_11, e0, e1, e0, simplifying with
% 197.88/34.73  |              (2), (3) gives:
% 197.88/34.73  |   (5)  all_52_11 = e0
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (4), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1932 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e2, e2) = all_4_2
% 197.88/34.73    (3)  op(e3, e3) = e1
% 197.88/34.73    (4)  op(e0, e3) = all_52_3
% 197.88/34.73    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.88/34.73             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.88/34.73           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.88/34.73           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.88/34.73             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.88/34.73           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.88/34.73           all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.88/34.73    (6)   ~ (all_4_2 = e3)
% 197.88/34.73    (7)   ~ (e2 = e1)
% 197.88/34.73    (8)   ~ (all_52_3 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | BETA: splitting (5) gives:
% 197.88/34.73  | 
% 197.88/34.73  | Case 1:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (9)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.88/34.73  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.88/34.73  | |        $i(all_57_0)
% 197.88/34.73  | | 
% 197.88/34.73  | | ALPHA: (9) implies:
% 197.88/34.73  | |   (10)  op(e2, e2) = e3
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1975.
% 197.88/34.73  | | 
% 197.88/34.73  | Case 2:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (11)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15
% 197.88/34.73  | |             = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) =
% 197.88/34.73  | |           e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.88/34.73  | |           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3,
% 197.88/34.73  | |             e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (1), (3), (4), (7), (8), (11) are inconsistent by sub-proof
% 197.88/34.73  | |            #1933.
% 197.88/34.73  | | 
% 197.88/34.73  | End of split
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1933 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e3, e3) = e1
% 197.88/34.73    (3)  op(e0, e3) = all_52_3
% 197.88/34.73    (4)   ~ (e2 = e1)
% 197.88/34.73    (5)   ~ (all_52_3 = e0)
% 197.88/34.73    (6)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.88/34.73             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.88/34.73           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.88/34.73           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 197.88/34.73             e2) = e0 & $i(all_57_3))
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | BETA: splitting (6) gives:
% 197.88/34.73  | 
% 197.88/34.73  | Case 1:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.88/34.73  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.88/34.73  | |        $i(all_57_1)
% 197.88/34.73  | | 
% 197.88/34.73  | | ALPHA: (7) implies:
% 197.88/34.73  | |   (8)  op(e0, e3) = e0
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1935.
% 197.88/34.73  | | 
% 197.88/34.73  | Case 2:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.88/34.73  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.88/34.73  | |        $i(all_57_3)
% 197.88/34.73  | | 
% 197.88/34.73  | | ALPHA: (9) implies:
% 197.88/34.73  | |   (10)  op(e3, e3) = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1934.
% 197.88/34.73  | | 
% 197.88/34.73  | End of split
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1934 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e3, e3) = e2
% 197.88/34.73    (3)  op(e3, e3) = e1
% 197.88/34.73    (4)   ~ (e2 = e1)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | GROUND_INST: instantiating (1) with e1, e2, e3, e3, simplifying with (2), (3)
% 197.88/34.73  |              gives:
% 197.88/34.73  |   (5)  e2 = e1
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (4), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1935 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e0, e3) = all_52_3
% 197.88/34.73    (3)  op(e0, e3) = e0
% 197.88/34.73    (4)   ~ (all_52_3 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | GROUND_INST: instantiating (1) with all_52_3, e0, e3, e0, simplifying with
% 197.88/34.73  |              (2), (3) gives:
% 197.88/34.73  |   (5)  all_52_3 = e0
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (4), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1936 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 197.88/34.73             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 197.88/34.73           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.88/34.73         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 197.88/34.73             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 197.88/34.73           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 197.88/34.73    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (3)  op(e3, e3) = e1
% 197.88/34.73    (4)   ~ (e1 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | BETA: splitting (1) gives:
% 197.88/34.73  | 
% 197.88/34.73  | Case 1:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (5)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 197.88/34.73  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 197.88/34.73  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 197.88/34.73  | | 
% 197.88/34.73  | | ALPHA: (5) implies:
% 197.88/34.73  | |   (6)  op(e3, e3) = e0
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #1937.
% 197.88/34.73  | | 
% 197.88/34.73  | Case 2:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (7)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 197.88/34.73  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 197.88/34.73  | |        all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 197.88/34.73  | | 
% 197.88/34.73  | | ALPHA: (7) implies:
% 197.88/34.73  | |   (8)  op(e3, e3) = e0
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1937.
% 197.88/34.73  | | 
% 197.88/34.73  | End of split
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1937 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e3, e3) = e1
% 197.88/34.73    (3)  op(e3, e3) = e0
% 197.88/34.73    (4)   ~ (e1 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | GROUND_INST: instantiating (1) with e1, e0, e3, e3, simplifying with (2), (3)
% 197.88/34.73  |              gives:
% 197.88/34.73  |   (5)  e1 = e0
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (4), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1938 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ~ (all_4_2 = e0)
% 197.88/34.73    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (3)  op(e2, e2) = all_4_2
% 197.88/34.73    (4)   ~ (all_4_2 = e1)
% 197.88/34.73    (5)  all_54_5 = all_4_2
% 197.88/34.73    (6)  op(e2, e2) = e0
% 197.88/34.73    (7)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | BETA: splitting (7) gives:
% 197.88/34.73  | 
% 197.88/34.73  | Case 1:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (8)  all_54_5 = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | COMBINE_EQS: (5), (8) imply:
% 197.88/34.73  | |   (9)  all_4_2 = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | SIMP: (9) implies:
% 197.88/34.73  | |   (10)  all_4_2 = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | REDUCE: (1), (10) imply:
% 197.88/34.73  | |   (11)   ~ (e2 = e0)
% 197.88/34.73  | | 
% 197.88/34.73  | | REDUCE: (3), (10) imply:
% 197.88/34.73  | |   (12)  op(e2, e2) = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (2), (6), (11), (12) are inconsistent by sub-proof #1939.
% 197.88/34.73  | | 
% 197.88/34.73  | Case 2:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (13)  all_54_5 = e1 | all_54_5 = e0
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (1), (4), (5), (13) are inconsistent by sub-proof #1941.
% 197.88/34.73  | | 
% 197.88/34.73  | End of split
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1939 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e2, e2) = e2
% 197.88/34.73    (3)  op(e2, e2) = e0
% 197.88/34.73    (4)   ~ (e2 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | GROUND_INST: instantiating (1) with e0, e2, e2, e2, simplifying with (2), (3)
% 197.88/34.73  |              gives:
% 197.88/34.73  |   (5)  e2 = e0
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (4), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1940 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ~ (all_4_2 = e0)
% 197.88/34.73    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (3)   ~ (all_4_2 = e1)
% 197.88/34.73    (4)  all_54_5 = all_4_2
% 197.88/34.73    (5)   ~ (all_52_9 = all_4_2)
% 197.88/34.73    (6)  op(e2, e1) = all_52_9
% 197.88/34.73    (7)  op(e2, e1) = e2
% 197.88/34.73    (8)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | BETA: splitting (8) gives:
% 197.88/34.73  | 
% 197.88/34.73  | Case 1:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (9)  all_54_5 = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | COMBINE_EQS: (4), (9) imply:
% 197.88/34.73  | |   (10)  all_4_2 = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | SIMP: (10) implies:
% 197.88/34.73  | |   (11)  all_4_2 = e2
% 197.88/34.73  | | 
% 197.88/34.73  | | REDUCE: (5), (11) imply:
% 197.88/34.73  | |   (12)   ~ (all_52_9 = e2)
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (2), (6), (7), (12) are inconsistent by sub-proof #1942.
% 197.88/34.73  | | 
% 197.88/34.73  | Case 2:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (13)  all_54_5 = e1 | all_54_5 = e0
% 197.88/34.73  | | 
% 197.88/34.73  | | REF_CLOSE: (1), (3), (4), (13) are inconsistent by sub-proof #1941.
% 197.88/34.73  | | 
% 197.88/34.73  | End of split
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1941 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)  all_54_5 = e1 | all_54_5 = e0
% 197.88/34.73    (2)  all_54_5 = all_4_2
% 197.88/34.73    (3)   ~ (all_4_2 = e1)
% 197.88/34.73    (4)   ~ (all_4_2 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | BETA: splitting (1) gives:
% 197.88/34.73  | 
% 197.88/34.73  | Case 1:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (5)  all_54_5 = e1
% 197.88/34.73  | | 
% 197.88/34.73  | | COMBINE_EQS: (2), (5) imply:
% 197.88/34.73  | |   (6)  all_4_2 = e1
% 197.88/34.73  | | 
% 197.88/34.73  | | REDUCE: (3), (6) imply:
% 197.88/34.73  | |   (7)  $false
% 197.88/34.73  | | 
% 197.88/34.73  | | CLOSE: (7) is inconsistent.
% 197.88/34.73  | | 
% 197.88/34.73  | Case 2:
% 197.88/34.73  | | 
% 197.88/34.73  | |   (8)  all_54_5 = e0
% 197.88/34.73  | | 
% 197.88/34.73  | | COMBINE_EQS: (2), (8) imply:
% 197.88/34.73  | |   (9)  all_4_2 = e0
% 197.88/34.73  | | 
% 197.88/34.73  | | REDUCE: (4), (9) imply:
% 197.88/34.73  | |   (10)  $false
% 197.88/34.73  | | 
% 197.88/34.73  | | CLOSE: (10) is inconsistent.
% 197.88/34.73  | | 
% 197.88/34.73  | End of split
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1942 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e2, e1) = all_52_9
% 197.88/34.73    (3)  op(e2, e1) = e2
% 197.88/34.73    (4)   ~ (all_52_9 = e2)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | GROUND_INST: instantiating (1) with all_52_9, e2, e1, e2, simplifying with
% 197.88/34.73  |              (2), (3) gives:
% 197.88/34.73  |   (5)  all_52_9 = e2
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (4), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1943 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.73    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.73    (2)  op(e0, e0) = e1
% 197.88/34.73    (3)  op(e0, e0) = e0
% 197.88/34.73    (4)   ~ (e1 = e0)
% 197.88/34.73  
% 197.88/34.73  Begin of proof
% 197.88/34.73  | 
% 197.88/34.73  | GROUND_INST: instantiating (1) with e1, e0, e0, e0, simplifying with (2), (3)
% 197.88/34.73  |              gives:
% 197.88/34.73  |   (5)  e1 = e0
% 197.88/34.73  | 
% 197.88/34.73  | REDUCE: (4), (5) imply:
% 197.88/34.73  |   (6)  $false
% 197.88/34.73  | 
% 197.88/34.73  | CLOSE: (6) is inconsistent.
% 197.88/34.73  | 
% 197.88/34.73  End of proof
% 197.88/34.73  
% 197.88/34.73  Sub-proof #1944 shows that the following formulas are inconsistent:
% 197.88/34.73  ----------------------------------------------------------------
% 197.88/34.74    (1)  op(e1, e1) = e1
% 197.88/34.74    (2)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.88/34.74             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.88/34.74           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 197.88/34.74           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.88/34.74           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 197.88/34.74           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 197.88/34.74    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (4)   ~ (e2 = e1)
% 197.88/34.74    (5)  op(e0, e0) = e0
% 197.88/34.74    (6)   ~ (e2 = e0)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | BETA: splitting (2) gives:
% 197.88/34.74  | 
% 197.88/34.74  | Case 1:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (7)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.88/34.74  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.88/34.74  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 197.88/34.74  | | 
% 197.88/34.74  | | ALPHA: (7) implies:
% 197.88/34.74  | |   (8)  op(e1, e1) = e2
% 197.88/34.74  | | 
% 197.88/34.74  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1955.
% 197.88/34.74  | | 
% 197.88/34.74  | Case 2:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (9)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.88/34.74  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.88/34.74  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 197.88/34.74  | | 
% 197.88/34.74  | | ALPHA: (9) implies:
% 197.88/34.74  | |   (10)  op(e0, e0) = e2
% 197.88/34.74  | | 
% 197.88/34.74  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1945.
% 197.88/34.74  | | 
% 197.88/34.74  | End of split
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1945 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (2)  op(e0, e0) = e2
% 197.88/34.74    (3)  op(e0, e0) = e0
% 197.88/34.74    (4)   ~ (e2 = e0)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | GROUND_INST: instantiating (1) with e0, e2, e0, e0, simplifying with (2), (3)
% 197.88/34.74  |              gives:
% 197.88/34.74  |   (5)  e2 = e0
% 197.88/34.74  | 
% 197.88/34.74  | REDUCE: (4), (5) imply:
% 197.88/34.74  |   (6)  $false
% 197.88/34.74  | 
% 197.88/34.74  | CLOSE: (6) is inconsistent.
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1946 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)  op(e1, e1) = e1
% 197.88/34.74    (2)  op(e1, e3) = all_52_2
% 197.88/34.74    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (4)  op(e2, e2) = all_4_2
% 197.88/34.74    (5)   ~ (all_4_2 = e3)
% 197.88/34.74    (6)   ~ (all_52_2 = e1)
% 197.88/34.74    (7)  op(e0, e0) = e0
% 197.88/34.74    (8)   ~ (e3 = e1)
% 197.88/34.74    (9)   ~ (e3 = e0)
% 197.88/34.74    (10)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.88/34.74              e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.88/34.74            all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.88/34.74            = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.88/34.74            op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.88/34.74            op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)) | (all_57_1 = e1 &
% 197.88/34.74            all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 = e3) & op(e2, e3)
% 197.88/34.74            = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 197.88/34.74            all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1 & all_57_15
% 197.88/34.74            = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1, e3) = e1 &
% 197.88/34.74            op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0, e0) = e3 &
% 197.88/34.74            $i(all_57_2) & $i(all_57_14))
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | BETA: splitting (10) gives:
% 197.88/34.74  | 
% 197.88/34.74  | Case 1:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (11)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12
% 197.88/34.74  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.88/34.74  | |           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) |
% 197.88/34.74  | |         (all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12
% 197.88/34.74  | |             = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.88/34.74  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.88/34.74  | | 
% 197.88/34.74  | | BETA: splitting (11) gives:
% 197.88/34.74  | | 
% 197.88/34.74  | | Case 1:
% 197.88/34.74  | | | 
% 197.88/34.74  | | |   (12)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.88/34.74  | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.88/34.74  | | |         op(e1, e3) = all_57_1 & op(e1, e1) = e3 & $i(all_57_1) &
% 197.88/34.74  | | |         $i(all_57_12)
% 197.88/34.74  | | | 
% 197.88/34.74  | | | ALPHA: (12) implies:
% 197.88/34.74  | | |   (13)  op(e1, e1) = e3
% 197.88/34.74  | | | 
% 197.88/34.74  | | | REF_CLOSE: (1), (3), (8), (13) are inconsistent by sub-proof #1978.
% 197.88/34.74  | | | 
% 197.88/34.74  | | Case 2:
% 197.88/34.74  | | | 
% 197.88/34.74  | | |   (14)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~
% 197.88/34.74  | | |         (all_57_12 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 &
% 197.88/34.74  | | |         op(e0, e3) = all_57_2 & op(e0, e0) = e3 & $i(all_57_2) &
% 197.88/34.74  | | |         $i(all_57_12)
% 197.88/34.74  | | | 
% 197.88/34.74  | | | ALPHA: (14) implies:
% 197.88/34.74  | | |   (15)  op(e0, e0) = e3
% 197.88/34.74  | | | 
% 197.88/34.74  | | | REF_CLOSE: (3), (7), (9), (15) are inconsistent by sub-proof #1947.
% 197.88/34.74  | | | 
% 197.88/34.74  | | End of split
% 197.88/34.74  | | 
% 197.88/34.74  | Case 2:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (16)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14
% 197.88/34.74  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) =
% 197.88/34.74  | |           e1 & op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) |
% 197.88/34.74  | |         (all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14
% 197.88/34.74  | |             = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.88/34.74  | |           all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.88/34.74  | | 
% 197.88/34.74  | | REF_CLOSE: (2), (3), (4), (5), (6), (16) are inconsistent by sub-proof
% 197.88/34.74  | |            #1973.
% 197.88/34.74  | | 
% 197.88/34.74  | End of split
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1947 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (2)  op(e0, e0) = e3
% 197.88/34.74    (3)  op(e0, e0) = e0
% 197.88/34.74    (4)   ~ (e3 = e0)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | GROUND_INST: instantiating (1) with e3, e0, e0, e0, simplifying with (2), (3)
% 197.88/34.74  |              gives:
% 197.88/34.74  |   (5)  e3 = e0
% 197.88/34.74  | 
% 197.88/34.74  | REDUCE: (4), (5) imply:
% 197.88/34.74  |   (6)  $false
% 197.88/34.74  | 
% 197.88/34.74  | CLOSE: (6) is inconsistent.
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1948 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)  all_54_5 = all_4_2
% 197.88/34.74    (2)  all_54_5 = e3
% 197.88/34.74    (3)   ~ (all_4_2 = e3)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | COMBINE_EQS: (1), (2) imply:
% 197.88/34.74  |   (4)  all_4_2 = e3
% 197.88/34.74  | 
% 197.88/34.74  | SIMP: (4) implies:
% 197.88/34.74  |   (5)  all_4_2 = e3
% 197.88/34.74  | 
% 197.88/34.74  | REDUCE: (3), (5) imply:
% 197.88/34.74  |   (6)  $false
% 197.88/34.74  | 
% 197.88/34.74  | CLOSE: (6) is inconsistent.
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1949 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (2)  op(e3, e0) = all_52_12
% 197.88/34.74    (3)  op(e3, e0) = e1
% 197.88/34.74    (4)   ~ (all_52_12 = e1)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | GROUND_INST: instantiating (1) with all_52_12, e1, e0, e3, simplifying with
% 197.88/34.74  |              (2), (3) gives:
% 197.88/34.74  |   (5)  all_52_12 = e1
% 197.88/34.74  | 
% 197.88/34.74  | REDUCE: (4), (5) imply:
% 197.88/34.74  |   (6)  $false
% 197.88/34.74  | 
% 197.88/34.74  | CLOSE: (6) is inconsistent.
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1950 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (2)  op(e0, e3) = all_52_3
% 197.88/34.74    (3)  op(e0, e3) = e1
% 197.88/34.74    (4)   ~ (all_52_3 = e1)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | GROUND_INST: instantiating (1) with all_52_3, e1, e3, e0, simplifying with
% 197.88/34.74  |              (2), (3) gives:
% 197.88/34.74  |   (5)  all_52_3 = e1
% 197.88/34.74  | 
% 197.88/34.74  | REDUCE: (4), (5) imply:
% 197.88/34.74  |   (6)  $false
% 197.88/34.74  | 
% 197.88/34.74  | CLOSE: (6) is inconsistent.
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1951 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)  all_54_0 = all_6_2
% 197.88/34.74    (2)  op(e1, e1) = e1
% 197.88/34.74    (3)  op(e3, e3) = all_6_2
% 197.88/34.74    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (5)   ~ (all_6_2 = e0)
% 197.88/34.74    (6)  op(e2, e2) = all_4_2
% 197.88/34.74    (7)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 197.88/34.74    (8)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.88/34.74             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.88/34.74           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.88/34.74           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.88/34.74             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.88/34.74           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.88/34.74           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.88/34.74           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.88/34.74           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.88/34.74           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.88/34.74           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.88/34.74         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.88/34.74             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.88/34.74           $i(all_57_7))
% 197.88/34.74    (9)   ~ (all_4_2 = e1)
% 197.88/34.74    (10)   ~ (all_4_2 = e3)
% 197.88/34.74    (11)   ~ (all_6_2 = e1)
% 197.88/34.74    (12)   ~ (e2 = e1)
% 197.88/34.74    (13)   ~ (all_6_2 = e2)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | BETA: splitting (7) gives:
% 197.88/34.74  | 
% 197.88/34.74  | Case 1:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (14)  all_54_0 = e3
% 197.88/34.74  | | 
% 197.88/34.74  | | COMBINE_EQS: (1), (14) imply:
% 197.88/34.74  | |   (15)  all_6_2 = e3
% 197.88/34.74  | | 
% 197.88/34.74  | | SIMP: (15) implies:
% 197.88/34.74  | |   (16)  all_6_2 = e3
% 197.88/34.74  | | 
% 197.88/34.74  | | REDUCE: (13), (16) imply:
% 197.88/34.74  | |   (17)   ~ (e3 = e2)
% 197.88/34.74  | | 
% 197.88/34.74  | | REDUCE: (11), (16) imply:
% 197.88/34.74  | |   (18)   ~ (e3 = e1)
% 197.88/34.74  | | 
% 197.88/34.74  | | REDUCE: (3), (16) imply:
% 197.88/34.74  | |   (19)  op(e3, e3) = e3
% 197.88/34.74  | | 
% 197.88/34.74  | | REF_CLOSE: (2), (4), (6), (8), (9), (10), (12), (17), (18), (19) are
% 197.88/34.74  | |            inconsistent by sub-proof #1953.
% 197.88/34.74  | | 
% 197.88/34.74  | Case 2:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (20)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 197.88/34.74  | | 
% 197.88/34.74  | | REF_CLOSE: (1), (5), (11), (13), (20) are inconsistent by sub-proof #1952.
% 197.88/34.74  | | 
% 197.88/34.74  | End of split
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1952 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)  all_54_0 = all_6_2
% 197.88/34.74    (2)   ~ (all_6_2 = e0)
% 197.88/34.74    (3)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 197.88/34.74    (4)   ~ (all_6_2 = e1)
% 197.88/34.74    (5)   ~ (all_6_2 = e2)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | BETA: splitting (3) gives:
% 197.88/34.74  | 
% 197.88/34.74  | Case 1:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (6)  all_54_0 = e2
% 197.88/34.74  | | 
% 197.88/34.74  | | COMBINE_EQS: (1), (6) imply:
% 197.88/34.74  | |   (7)  all_6_2 = e2
% 197.88/34.74  | | 
% 197.88/34.74  | | REDUCE: (5), (7) imply:
% 197.88/34.74  | |   (8)  $false
% 197.88/34.74  | | 
% 197.88/34.74  | | CLOSE: (8) is inconsistent.
% 197.88/34.74  | | 
% 197.88/34.74  | Case 2:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (9)  all_54_0 = e1 | all_54_0 = e0
% 197.88/34.74  | | 
% 197.88/34.74  | | BETA: splitting (9) gives:
% 197.88/34.74  | | 
% 197.88/34.74  | | Case 1:
% 197.88/34.74  | | | 
% 197.88/34.74  | | |   (10)  all_54_0 = e1
% 197.88/34.74  | | | 
% 197.88/34.74  | | | COMBINE_EQS: (1), (10) imply:
% 197.88/34.74  | | |   (11)  all_6_2 = e1
% 197.88/34.74  | | | 
% 197.88/34.74  | | | REDUCE: (4), (11) imply:
% 197.88/34.74  | | |   (12)  $false
% 197.88/34.74  | | | 
% 197.88/34.74  | | | CLOSE: (12) is inconsistent.
% 197.88/34.74  | | | 
% 197.88/34.74  | | Case 2:
% 197.88/34.74  | | | 
% 197.88/34.74  | | |   (13)  all_54_0 = e0
% 197.88/34.74  | | | 
% 197.88/34.74  | | | COMBINE_EQS: (1), (13) imply:
% 197.88/34.74  | | |   (14)  all_6_2 = e0
% 197.88/34.74  | | | 
% 197.88/34.74  | | | REDUCE: (2), (14) imply:
% 197.88/34.74  | | |   (15)  $false
% 197.88/34.74  | | | 
% 197.88/34.74  | | | CLOSE: (15) is inconsistent.
% 197.88/34.74  | | | 
% 197.88/34.74  | | End of split
% 197.88/34.74  | | 
% 197.88/34.74  | End of split
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1953 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)  op(e1, e1) = e1
% 197.88/34.74    (2)   ~ (e3 = e2)
% 197.88/34.74    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (4)  op(e2, e2) = all_4_2
% 197.88/34.74    (5)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15 =
% 197.88/34.74             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 197.88/34.74           $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) & 
% 197.88/34.74           ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0,
% 197.88/34.74             e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~
% 197.88/34.74           (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 197.88/34.74           all_57_3 & op(e0, e2) = e0 & $i(all_57_3)) | (all_57_5 = e0 & all_57_14
% 197.88/34.74           = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15 = e2) & op(e1, e2) = all_57_4
% 197.88/34.74           & op(e1, e1) = e2 & op(e0, e2) = e0 & $i(all_57_4)) | (all_57_8 = e0 &
% 197.88/34.74           all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3)
% 197.88/34.74           = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) |
% 197.88/34.74         (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.88/34.74             e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.88/34.74           $i(all_57_7))
% 197.88/34.74    (6)  op(e3, e3) = e3
% 197.88/34.74    (7)   ~ (all_4_2 = e1)
% 197.88/34.74    (8)   ~ (all_4_2 = e3)
% 197.88/34.74    (9)   ~ (e2 = e1)
% 197.88/34.74    (10)   ~ (e3 = e1)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | BETA: splitting (5) gives:
% 197.88/34.74  | 
% 197.88/34.74  | Case 1:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (11)  (all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_15
% 197.88/34.74  | |             = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e0, e3) =
% 197.88/34.74  | |           e0 & $i(all_57_0)) | (all_57_2 = e0 & all_57_14 = e3 &  ~
% 197.88/34.74  | |           (all_57_1 = e1) &  ~ (all_57_15 = e3) & op(e1, e3) = all_57_1 &
% 197.88/34.74  | |           op(e1, e1) = e3 & op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0
% 197.88/34.74  | |           & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) &
% 197.88/34.74  | |           op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.88/34.74  | |           $i(all_57_3))
% 197.88/34.74  | | 
% 197.88/34.74  | | BETA: splitting (11) gives:
% 197.88/34.74  | | 
% 197.88/34.74  | | Case 1:
% 197.88/34.74  | | | 
% 197.88/34.74  | | |   (12)  all_57_2 = e0 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~
% 197.88/34.74  | | |         (all_57_15 = e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 &
% 197.88/34.74  | | |         op(e0, e3) = e0 & $i(all_57_0)
% 197.88/34.74  | | | 
% 197.88/34.74  | | | ALPHA: (12) implies:
% 197.88/34.74  | | |   (13)  op(e2, e2) = e3
% 197.88/34.74  | | | 
% 197.88/34.74  | | | GROUND_INST: instantiating (3) with all_4_2, e3, e2, e2, simplifying with
% 197.88/34.74  | | |              (4), (13) gives:
% 197.88/34.74  | | |   (14)  all_4_2 = e3
% 197.88/34.74  | | | 
% 197.88/34.74  | | | REDUCE: (8), (14) imply:
% 197.88/34.74  | | |   (15)  $false
% 197.88/34.74  | | | 
% 197.88/34.74  | | | CLOSE: (15) is inconsistent.
% 197.88/34.74  | | | 
% 197.88/34.74  | | Case 2:
% 197.88/34.74  | | | 
% 197.88/34.74  | | |   (16)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~
% 197.88/34.74  | | |           (all_57_15 = e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 &
% 197.88/34.74  | | |           op(e0, e3) = e0 & $i(all_57_1)) | (all_57_5 = e0 & all_57_10 =
% 197.88/34.74  | | |           e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 = e2) & op(e3, e3) = e2
% 197.88/34.74  | | |           & op(e3, e2) = all_57_3 & op(e0, e2) = e0 & $i(all_57_3))
% 197.88/34.74  | | | 
% 197.88/34.74  | | | REF_CLOSE: (1), (2), (3), (6), (10), (16) are inconsistent by sub-proof
% 197.88/34.74  | | |            #1956.
% 197.88/34.74  | | | 
% 197.88/34.74  | | End of split
% 197.88/34.74  | | 
% 197.88/34.74  | Case 2:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (17)  (all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_15
% 197.88/34.74  | |             = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 & op(e0, e2) =
% 197.88/34.74  | |           e0 & $i(all_57_4)) | (all_57_8 = e0 & all_57_10 = e1 &  ~
% 197.88/34.74  | |           (all_57_6 = e3) &  ~ (all_57_15 = e1) & op(e3, e3) = e1 & op(e3,
% 197.88/34.74  | |             e1) = all_57_6 & op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 =
% 197.88/34.74  | |           e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) &
% 197.88/34.74  | |           op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.88/34.74  | |           $i(all_57_7))
% 197.88/34.74  | | 
% 197.88/34.74  | | BETA: splitting (17) gives:
% 197.88/34.74  | | 
% 197.88/34.74  | | Case 1:
% 197.88/34.74  | | | 
% 197.88/34.74  | | |   (18)  all_57_5 = e0 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~
% 197.88/34.74  | | |         (all_57_15 = e2) & op(e1, e2) = all_57_4 & op(e1, e1) = e2 &
% 197.88/34.74  | | |         op(e0, e2) = e0 & $i(all_57_4)
% 197.88/34.74  | | | 
% 197.88/34.74  | | | ALPHA: (18) implies:
% 197.88/34.74  | | |   (19)  op(e1, e1) = e2
% 197.88/34.74  | | | 
% 197.88/34.74  | | | REF_CLOSE: (1), (3), (9), (19) are inconsistent by sub-proof #1955.
% 197.88/34.74  | | | 
% 197.88/34.74  | | Case 2:
% 197.88/34.74  | | | 
% 197.88/34.74  | | |   (20)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~
% 197.88/34.74  | | |           (all_57_15 = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 &
% 197.88/34.74  | | |           op(e0, e1) = e0 & $i(all_57_6)) | (all_57_8 = e0 & all_57_12 =
% 197.88/34.74  | | |           e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 = e1) & op(e2, e2) = e1
% 197.88/34.74  | | |           & op(e2, e1) = all_57_7 & op(e0, e1) = e0 & $i(all_57_7))
% 197.88/34.74  | | | 
% 197.88/34.74  | | | REF_CLOSE: (3), (4), (6), (7), (10), (20) are inconsistent by sub-proof
% 197.88/34.74  | | |            #1954.
% 197.88/34.74  | | | 
% 197.88/34.74  | | End of split
% 197.88/34.74  | | 
% 197.88/34.74  | End of split
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1954 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (2)  op(e2, e2) = all_4_2
% 197.88/34.74    (3)  (all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.88/34.74             e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.88/34.74           $i(all_57_6)) | (all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) & 
% 197.88/34.74           ~ (all_57_15 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0,
% 197.88/34.74             e1) = e0 & $i(all_57_7))
% 197.88/34.74    (4)  op(e3, e3) = e3
% 197.88/34.74    (5)   ~ (all_4_2 = e1)
% 197.88/34.74    (6)   ~ (e3 = e1)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | BETA: splitting (3) gives:
% 197.88/34.74  | 
% 197.88/34.74  | Case 1:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (7)  all_57_8 = e0 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_15 =
% 197.88/34.74  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e0, e1) = e0 &
% 197.88/34.74  | |        $i(all_57_6)
% 197.88/34.74  | | 
% 197.88/34.74  | | ALPHA: (7) implies:
% 197.88/34.74  | |   (8)  op(e3, e3) = e1
% 197.88/34.74  | | 
% 197.88/34.74  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1966.
% 197.88/34.74  | | 
% 197.88/34.74  | Case 2:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (9)  all_57_8 = e0 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_15 =
% 197.88/34.74  | |          e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_7 & op(e0, e1) = e0 &
% 197.88/34.74  | |        $i(all_57_7)
% 197.88/34.74  | | 
% 197.88/34.74  | | ALPHA: (9) implies:
% 197.88/34.74  | |   (10)  op(e2, e2) = e1
% 197.88/34.74  | | 
% 197.88/34.74  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1969.
% 197.88/34.74  | | 
% 197.88/34.74  | End of split
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1955 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (2)  op(e1, e1) = e2
% 197.88/34.74    (3)  op(e1, e1) = e1
% 197.88/34.74    (4)   ~ (e2 = e1)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | GROUND_INST: instantiating (1) with e1, e2, e1, e1, simplifying with (2), (3)
% 197.88/34.74  |              gives:
% 197.88/34.74  |   (5)  e2 = e1
% 197.88/34.74  | 
% 197.88/34.74  | REDUCE: (4), (5) imply:
% 197.88/34.74  |   (6)  $false
% 197.88/34.74  | 
% 197.88/34.74  | CLOSE: (6) is inconsistent.
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1956 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)  op(e1, e1) = e1
% 197.88/34.74    (2)   ~ (e3 = e2)
% 197.88/34.74    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (4)  op(e3, e3) = e3
% 197.88/34.74    (5)  (all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.88/34.74             e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.88/34.74           $i(all_57_1)) | (all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) & 
% 197.88/34.74           ~ (all_57_15 = e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0,
% 197.88/34.74             e2) = e0 & $i(all_57_3))
% 197.88/34.74    (6)   ~ (e3 = e1)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | BETA: splitting (5) gives:
% 197.88/34.74  | 
% 197.88/34.74  | Case 1:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (7)  all_57_2 = e0 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_15 =
% 197.88/34.74  | |          e3) & op(e1, e3) = all_57_1 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 197.88/34.74  | |        $i(all_57_1)
% 197.88/34.74  | | 
% 197.88/34.74  | | ALPHA: (7) implies:
% 197.88/34.74  | |   (8)  op(e1, e1) = e3
% 197.88/34.74  | | 
% 197.88/34.74  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1978.
% 197.88/34.74  | | 
% 197.88/34.74  | Case 2:
% 197.88/34.74  | | 
% 197.88/34.74  | |   (9)  all_57_5 = e0 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_15 =
% 197.88/34.74  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e0, e2) = e0 &
% 197.88/34.74  | |        $i(all_57_3)
% 197.88/34.74  | | 
% 197.88/34.74  | | ALPHA: (9) implies:
% 197.88/34.74  | |   (10)  op(e3, e3) = e2
% 197.88/34.74  | | 
% 197.88/34.74  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1957.
% 197.88/34.74  | | 
% 197.88/34.74  | End of split
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1957 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.74    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.74    (2)  op(e3, e3) = e3
% 197.88/34.74    (3)  op(e3, e3) = e2
% 197.88/34.74    (4)   ~ (e3 = e2)
% 197.88/34.74  
% 197.88/34.74  Begin of proof
% 197.88/34.74  | 
% 197.88/34.74  | GROUND_INST: instantiating (1) with e2, e3, e3, e3, simplifying with (2), (3)
% 197.88/34.74  |              gives:
% 197.88/34.74  |   (5)  e3 = e2
% 197.88/34.74  | 
% 197.88/34.74  | REDUCE: (4), (5) imply:
% 197.88/34.74  |   (6)  $false
% 197.88/34.74  | 
% 197.88/34.74  | CLOSE: (6) is inconsistent.
% 197.88/34.74  | 
% 197.88/34.74  End of proof
% 197.88/34.74  
% 197.88/34.74  Sub-proof #1958 shows that the following formulas are inconsistent:
% 197.88/34.74  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e1, e0) = all_52_14
% 197.88/34.75    (3)  op(e1, e0) = e1
% 197.88/34.75    (4)   ~ (all_52_14 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with all_52_14, e1, e0, e1, simplifying with
% 197.88/34.75  |              (2), (3) gives:
% 197.88/34.75  |   (5)  all_52_14 = e1
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1959 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e1, e1) = e1
% 197.88/34.75    (3)  op(e1, e1) = e0
% 197.88/34.75    (4)   ~ (e1 = e0)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with e1, e0, e1, e1, simplifying with (2), (3)
% 197.88/34.75  |              gives:
% 197.88/34.75  |   (5)  e1 = e0
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1960 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)  (all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12 =
% 197.88/34.75             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 197.88/34.75           all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)) |
% 197.88/34.75         (all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14 =
% 197.88/34.75             e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 197.88/34.75           all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14))
% 197.88/34.75    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (3)  op(e3, e3) = e3
% 197.88/34.75    (4)   ~ (e3 = e0)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | BETA: splitting (1) gives:
% 197.88/34.75  | 
% 197.88/34.75  | Case 1:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (5)  all_57_10 = e0 & all_57_11 = e2 &  ~ (all_57_9 = e3) &  ~ (all_57_12
% 197.88/34.75  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e2, e2) =
% 197.88/34.75  | |        all_57_12 & op(e2, e0) = e2 & $i(all_57_9) & $i(all_57_12)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (5) implies:
% 197.88/34.75  | |   (6)  op(e3, e3) = e0
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #1961.
% 197.88/34.75  | | 
% 197.88/34.75  | Case 2:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (7)  all_57_10 = e0 & all_57_13 = e1 &  ~ (all_57_9 = e3) &  ~ (all_57_14
% 197.88/34.75  | |          = e0) & op(e3, e3) = e0 & op(e3, e0) = all_57_9 & op(e1, e1) =
% 197.88/34.75  | |        all_57_14 & op(e1, e0) = e1 & $i(all_57_9) & $i(all_57_14)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (7) implies:
% 197.88/34.75  | |   (8)  op(e3, e3) = e0
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1961.
% 197.88/34.75  | | 
% 197.88/34.75  | End of split
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1961 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e3, e3) = e3
% 197.88/34.75    (3)  op(e3, e3) = e0
% 197.88/34.75    (4)   ~ (e3 = e0)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with e0, e3, e3, e3, simplifying with (2), (3)
% 197.88/34.75  |              gives:
% 197.88/34.75  |   (5)  e3 = e0
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1962 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.88/34.75             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.88/34.75           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 197.88/34.75           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.88/34.75           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.88/34.75           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)) | (all_57_7 = e2 &
% 197.88/34.75           all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12 = e1) & op(e2, e2)
% 197.88/34.75           = all_57_12 & op(e2, e1) = e2 & op(e0, e1) = all_57_8 & op(e0, e0) = e1
% 197.88/34.75           & $i(all_57_8) & $i(all_57_12)) | (all_57_9 = e3 & all_57_12 = e0 &  ~
% 197.88/34.75           (all_57_10 = e0) &  ~ (all_57_11 = e2) & op(e3, e3) = all_57_10 &
% 197.88/34.75           op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_11 &
% 197.88/34.75           $i(all_57_10) & $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~
% 197.88/34.75           (all_57_10 = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 &
% 197.88/34.75           op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.88/34.75           $i(all_57_10) & $i(all_57_13))
% 197.88/34.75    (2)  op(e0, e0) = all_14_2
% 197.88/34.75    (3)   ~ (all_14_2 = e1)
% 197.88/34.75    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (5)  op(e3, e3) = e3
% 197.88/34.75    (6)   ~ (all_52_12 = e3)
% 197.88/34.75    (7)  op(e3, e0) = all_52_12
% 197.88/34.75    (8)   ~ (e3 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | BETA: splitting (1) gives:
% 197.88/34.75  | 
% 197.88/34.75  | Case 1:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (9)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10
% 197.88/34.75  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.88/34.75  | |          all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) |
% 197.88/34.75  | |        (all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12
% 197.88/34.75  | |            = e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.88/34.75  | |          all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (2), (3), (4), (5), (8), (9) are inconsistent by sub-proof #1965.
% 197.88/34.75  | | 
% 197.88/34.75  | Case 2:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (10)  (all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_12
% 197.88/34.75  | |             = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 & op(e0, e1) =
% 197.88/34.75  | |           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_12)) |
% 197.88/34.75  | |         (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.88/34.75  | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.88/34.75  | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.88/34.75  | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 =
% 197.88/34.75  | |             e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3, e0)
% 197.88/34.75  | |           = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 & $i(all_57_10) &
% 197.88/34.75  | |           $i(all_57_13))
% 197.88/34.75  | | 
% 197.88/34.75  | | BETA: splitting (10) gives:
% 197.88/34.75  | | 
% 197.88/34.75  | | Case 1:
% 197.88/34.75  | | | 
% 197.88/34.75  | | |   (11)  all_57_7 = e2 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~
% 197.88/34.75  | | |         (all_57_12 = e1) & op(e2, e2) = all_57_12 & op(e2, e1) = e2 &
% 197.88/34.75  | | |         op(e0, e1) = all_57_8 & op(e0, e0) = e1 & $i(all_57_8) &
% 197.88/34.75  | | |         $i(all_57_12)
% 197.88/34.75  | | | 
% 197.88/34.75  | | | ALPHA: (11) implies:
% 197.88/34.75  | | |   (12)  op(e0, e0) = e1
% 197.88/34.75  | | | 
% 197.88/34.75  | | | REF_CLOSE: (2), (3), (4), (12) are inconsistent by sub-proof #1967.
% 197.88/34.75  | | | 
% 197.88/34.75  | | Case 2:
% 197.88/34.75  | | | 
% 197.88/34.75  | | |   (13)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~
% 197.88/34.75  | | |           (all_57_11 = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 &
% 197.88/34.75  | | |           op(e2, e2) = e0 & op(e2, e0) = all_57_11 & $i(all_57_10) &
% 197.88/34.75  | | |           $i(all_57_11)) | (all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10
% 197.88/34.75  | | |             = e0) &  ~ (all_57_13 = e1) & op(e3, e3) = all_57_10 & op(e3,
% 197.88/34.75  | | |             e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_13 &
% 197.88/34.75  | | |           $i(all_57_10) & $i(all_57_13))
% 197.88/34.75  | | | 
% 197.88/34.75  | | | REF_CLOSE: (4), (6), (7), (13) are inconsistent by sub-proof #1963.
% 197.88/34.75  | | | 
% 197.88/34.75  | | End of split
% 197.88/34.75  | | 
% 197.88/34.75  | End of split
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1963 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)  (all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11 =
% 197.88/34.75             e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 197.88/34.75           op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)) | (all_57_9 =
% 197.88/34.75           e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13 = e1) &
% 197.88/34.75           op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0)
% 197.88/34.75           = all_57_13 & $i(all_57_10) & $i(all_57_13))
% 197.88/34.75    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (3)  op(e3, e0) = all_52_12
% 197.88/34.75    (4)   ~ (all_52_12 = e3)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | BETA: splitting (1) gives:
% 197.88/34.75  | 
% 197.88/34.75  | Case 1:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (5)  all_57_9 = e3 & all_57_12 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_11
% 197.88/34.75  | |          = e2) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e2, e2) = e0
% 197.88/34.75  | |        & op(e2, e0) = all_57_11 & $i(all_57_10) & $i(all_57_11)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (5) implies:
% 197.88/34.75  | |   (6)  op(e3, e0) = e3
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #1964.
% 197.88/34.75  | | 
% 197.88/34.75  | Case 2:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (7)  all_57_9 = e3 & all_57_14 = e0 &  ~ (all_57_10 = e0) &  ~ (all_57_13
% 197.88/34.75  | |          = e1) & op(e3, e3) = all_57_10 & op(e3, e0) = e3 & op(e1, e1) = e0
% 197.88/34.75  | |        & op(e1, e0) = all_57_13 & $i(all_57_10) & $i(all_57_13)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (7) implies:
% 197.88/34.75  | |   (8)  op(e3, e0) = e3
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1964.
% 197.88/34.75  | | 
% 197.88/34.75  | End of split
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1964 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e3, e0) = all_52_12
% 197.88/34.75    (3)  op(e3, e0) = e3
% 197.88/34.75    (4)   ~ (all_52_12 = e3)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with all_52_12, e3, e0, e3, simplifying with
% 197.88/34.75  |              (2), (3) gives:
% 197.88/34.75  |   (5)  all_52_12 = e3
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1965 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)  op(e0, e0) = all_14_2
% 197.88/34.75    (2)   ~ (all_14_2 = e1)
% 197.88/34.75    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (4)  (all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.88/34.75             e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.88/34.75           all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)) | (all_57_7
% 197.88/34.75           = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 = e1) &
% 197.88/34.75           op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) = all_57_12 &
% 197.88/34.75           op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12))
% 197.88/34.75    (5)  op(e3, e3) = e3
% 197.88/34.75    (6)   ~ (e3 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | BETA: splitting (4) gives:
% 197.88/34.75  | 
% 197.88/34.75  | Case 1:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (7)  all_57_6 = e3 & all_57_15 = e1 &  ~ (all_57_8 = e0) &  ~ (all_57_10 =
% 197.88/34.75  | |          e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e0, e1) =
% 197.88/34.75  | |        all_57_8 & op(e0, e0) = e1 & $i(all_57_8) & $i(all_57_10)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (7) implies:
% 197.88/34.75  | |   (8)  op(e0, e0) = e1
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1967.
% 197.88/34.75  | | 
% 197.88/34.75  | Case 2:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (9)  all_57_7 = e2 & all_57_10 = e1 &  ~ (all_57_6 = e3) &  ~ (all_57_12 =
% 197.88/34.75  | |          e1) & op(e3, e3) = e1 & op(e3, e1) = all_57_6 & op(e2, e2) =
% 197.88/34.75  | |        all_57_12 & op(e2, e1) = e2 & $i(all_57_6) & $i(all_57_12)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (9) implies:
% 197.88/34.75  | |   (10)  op(e3, e3) = e1
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1966.
% 197.88/34.75  | | 
% 197.88/34.75  | End of split
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1966 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e3, e3) = e3
% 197.88/34.75    (3)  op(e3, e3) = e1
% 197.88/34.75    (4)   ~ (e3 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with e1, e3, e3, e3, simplifying with (2), (3)
% 197.88/34.75  |              gives:
% 197.88/34.75  |   (5)  e3 = e1
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1967 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e0, e0) = all_14_2
% 197.88/34.75    (3)  op(e0, e0) = e1
% 197.88/34.75    (4)   ~ (all_14_2 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with all_14_2, e1, e0, e0, simplifying with
% 197.88/34.75  |              (2), (3) gives:
% 197.88/34.75  |   (5)  all_14_2 = e1
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1968 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)  op(e1, e2) = all_52_6
% 197.88/34.75    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (3)  op(e2, e2) = all_4_2
% 197.88/34.75    (4)  (all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.88/34.75             e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.88/34.75           op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)) | (all_57_4 = e1
% 197.88/34.75           & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14 = e2) & op(e1,
% 197.88/34.75             e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) = all_57_5 & op(e0,
% 197.88/34.75             e0) = e2 & $i(all_57_5) & $i(all_57_14)) | (all_57_6 = e3 & all_57_12
% 197.88/34.75           = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10 = e1) & op(e3, e3) =
% 197.88/34.75           all_57_10 & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_7 &
% 197.88/34.75           $i(all_57_7) & $i(all_57_10))
% 197.88/34.75    (5)   ~ (all_4_2 = e1)
% 197.88/34.75    (6)   ~ (all_52_6 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | BETA: splitting (4) gives:
% 197.88/34.75  | 
% 197.88/34.75  | Case 1:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (7)  all_57_4 = e1 & all_57_10 = e2 &  ~ (all_57_3 = e3) &  ~ (all_57_14 =
% 197.88/34.75  | |          e2) & op(e3, e3) = e2 & op(e3, e2) = all_57_3 & op(e1, e2) = e1 &
% 197.88/34.75  | |        op(e1, e1) = all_57_14 & $i(all_57_3) & $i(all_57_14)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (7) implies:
% 197.88/34.75  | |   (8)  op(e1, e2) = e1
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1970.
% 197.88/34.75  | | 
% 197.88/34.75  | Case 2:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (9)  (all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_14
% 197.88/34.75  | |            = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 & op(e0, e2) =
% 197.88/34.75  | |          all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_14)) |
% 197.88/34.75  | |        (all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~ (all_57_10
% 197.88/34.75  | |            = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 & op(e2, e2) =
% 197.88/34.75  | |          e1 & op(e2, e1) = all_57_7 & $i(all_57_7) & $i(all_57_10))
% 197.88/34.75  | | 
% 197.88/34.75  | | BETA: splitting (9) gives:
% 197.88/34.75  | | 
% 197.88/34.75  | | Case 1:
% 197.88/34.75  | | | 
% 197.88/34.75  | | |   (10)  all_57_4 = e1 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~
% 197.88/34.75  | | |         (all_57_14 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_14 &
% 197.88/34.75  | | |         op(e0, e2) = all_57_5 & op(e0, e0) = e2 & $i(all_57_5) &
% 197.88/34.75  | | |         $i(all_57_14)
% 197.88/34.75  | | | 
% 197.88/34.75  | | | ALPHA: (10) implies:
% 197.88/34.75  | | |   (11)  op(e1, e2) = e1
% 197.88/34.75  | | | 
% 197.88/34.75  | | | REF_CLOSE: (1), (2), (6), (11) are inconsistent by sub-proof #1970.
% 197.88/34.75  | | | 
% 197.88/34.75  | | Case 2:
% 197.88/34.75  | | | 
% 197.88/34.75  | | |   (12)  all_57_6 = e3 & all_57_12 = e1 &  ~ (all_57_7 = e2) &  ~
% 197.88/34.75  | | |         (all_57_10 = e1) & op(e3, e3) = all_57_10 & op(e3, e1) = e3 &
% 197.88/34.75  | | |         op(e2, e2) = e1 & op(e2, e1) = all_57_7 & $i(all_57_7) &
% 197.88/34.75  | | |         $i(all_57_10)
% 197.88/34.75  | | | 
% 197.88/34.75  | | | ALPHA: (12) implies:
% 197.88/34.75  | | |   (13)  op(e2, e2) = e1
% 197.88/34.75  | | | 
% 197.88/34.75  | | | REF_CLOSE: (2), (3), (5), (13) are inconsistent by sub-proof #1969.
% 197.88/34.75  | | | 
% 197.88/34.75  | | End of split
% 197.88/34.75  | | 
% 197.88/34.75  | End of split
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1969 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e2, e2) = all_4_2
% 197.88/34.75    (3)  op(e2, e2) = e1
% 197.88/34.75    (4)   ~ (all_4_2 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with all_4_2, e1, e2, e2, simplifying with (2),
% 197.88/34.75  |              (3) gives:
% 197.88/34.75  |   (5)  all_4_2 = e1
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1970 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e1, e2) = all_52_6
% 197.88/34.75    (3)  op(e1, e2) = e1
% 197.88/34.75    (4)   ~ (all_52_6 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with all_52_6, e1, e2, e1, simplifying with
% 197.88/34.75  |              (2), (3) gives:
% 197.88/34.75  |   (5)  all_52_6 = e1
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1971 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)  (all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.88/34.75             e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.88/34.75           all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)) | (all_57_3
% 197.88/34.75           = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 = e2) &
% 197.88/34.75           op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) = all_57_5 &
% 197.88/34.75           op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10))
% 197.88/34.75    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (3)  op(e3, e2) = all_52_4
% 197.88/34.75    (4)   ~ (all_52_4 = e3)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | BETA: splitting (1) gives:
% 197.88/34.75  | 
% 197.88/34.75  | Case 1:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (5)  all_57_3 = e3 & all_57_14 = e2 &  ~ (all_57_4 = e1) &  ~ (all_57_10 =
% 197.88/34.75  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e1, e2) =
% 197.88/34.75  | |        all_57_4 & op(e1, e1) = e2 & $i(all_57_4) & $i(all_57_10)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (5) implies:
% 197.88/34.75  | |   (6)  op(e3, e2) = e3
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (2), (3), (4), (6) are inconsistent by sub-proof #1972.
% 197.88/34.75  | | 
% 197.88/34.75  | Case 2:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (7)  all_57_3 = e3 & all_57_15 = e2 &  ~ (all_57_5 = e0) &  ~ (all_57_10 =
% 197.88/34.75  | |          e2) & op(e3, e3) = all_57_10 & op(e3, e2) = e3 & op(e0, e2) =
% 197.88/34.75  | |        all_57_5 & op(e0, e0) = e2 & $i(all_57_5) & $i(all_57_10)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (7) implies:
% 197.88/34.75  | |   (8)  op(e3, e2) = e3
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1972.
% 197.88/34.75  | | 
% 197.88/34.75  | End of split
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1972 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e3, e2) = all_52_4
% 197.88/34.75    (3)  op(e3, e2) = e3
% 197.88/34.75    (4)   ~ (all_52_4 = e3)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with all_52_4, e3, e2, e3, simplifying with
% 197.88/34.75  |              (2), (3) gives:
% 197.88/34.75  |   (5)  all_52_4 = e3
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1973 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)  op(e1, e3) = all_52_2
% 197.88/34.75    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (3)  (all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 197.88/34.75             e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.88/34.75           op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)) | (all_57_1 = e1
% 197.88/34.75           & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 = e3) & op(e1,
% 197.88/34.75             e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) = all_57_2 & op(e0,
% 197.88/34.75             e0) = e3 & $i(all_57_2) & $i(all_57_14))
% 197.88/34.75    (4)  op(e2, e2) = all_4_2
% 197.88/34.75    (5)   ~ (all_4_2 = e3)
% 197.88/34.75    (6)   ~ (all_52_2 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | BETA: splitting (3) gives:
% 197.88/34.75  | 
% 197.88/34.75  | Case 1:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (7)  all_57_1 = e1 & all_57_12 = e3 &  ~ (all_57_0 = e2) &  ~ (all_57_14 =
% 197.88/34.75  | |          e3) & op(e2, e3) = all_57_0 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 197.88/34.75  | |        op(e1, e1) = all_57_14 & $i(all_57_0) & $i(all_57_14)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (7) implies:
% 197.88/34.75  | |   (8)  op(e2, e2) = e3
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1975.
% 197.88/34.75  | | 
% 197.88/34.75  | Case 2:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (9)  all_57_1 = e1 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_14 =
% 197.88/34.75  | |          e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_14 & op(e0, e3) =
% 197.88/34.75  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_14)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (9) implies:
% 197.88/34.75  | |   (10)  op(e1, e3) = e1
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1974.
% 197.88/34.75  | | 
% 197.88/34.75  | End of split
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1974 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e1, e3) = all_52_2
% 197.88/34.75    (3)  op(e1, e3) = e1
% 197.88/34.75    (4)   ~ (all_52_2 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with all_52_2, e1, e3, e1, simplifying with
% 197.88/34.75  |              (2), (3) gives:
% 197.88/34.75  |   (5)  all_52_2 = e1
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1975 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e2, e2) = all_4_2
% 197.88/34.75    (3)  op(e2, e2) = e3
% 197.88/34.75    (4)   ~ (all_4_2 = e3)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with all_4_2, e3, e2, e2, simplifying with (2),
% 197.88/34.75  |              (3) gives:
% 197.88/34.75  |   (5)  all_4_2 = e3
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1976 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)  op(e1, e1) = e1
% 197.88/34.75    (2)  op(e0, e0) = all_14_2
% 197.88/34.75    (3)  (all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.88/34.75             e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.88/34.75           all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)) | (all_57_0
% 197.88/34.75           = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 = e3) &
% 197.88/34.75           op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) = all_57_2 &
% 197.88/34.75           op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12))
% 197.88/34.75    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (5)   ~ (all_14_2 = e3)
% 197.88/34.75    (6)   ~ (e3 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | BETA: splitting (3) gives:
% 197.88/34.75  | 
% 197.88/34.75  | Case 1:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (7)  all_57_0 = e2 & all_57_14 = e3 &  ~ (all_57_1 = e1) &  ~ (all_57_12 =
% 197.88/34.75  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e1, e3) =
% 197.88/34.75  | |        all_57_1 & op(e1, e1) = e3 & $i(all_57_1) & $i(all_57_12)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (7) implies:
% 197.88/34.75  | |   (8)  op(e1, e1) = e3
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1978.
% 197.88/34.75  | | 
% 197.88/34.75  | Case 2:
% 197.88/34.75  | | 
% 197.88/34.75  | |   (9)  all_57_0 = e2 & all_57_15 = e3 &  ~ (all_57_2 = e0) &  ~ (all_57_12 =
% 197.88/34.75  | |          e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_12 & op(e0, e3) =
% 197.88/34.75  | |        all_57_2 & op(e0, e0) = e3 & $i(all_57_2) & $i(all_57_12)
% 197.88/34.75  | | 
% 197.88/34.75  | | ALPHA: (9) implies:
% 197.88/34.75  | |   (10)  op(e0, e0) = e3
% 197.88/34.75  | | 
% 197.88/34.75  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #1977.
% 197.88/34.75  | | 
% 197.88/34.75  | End of split
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1977 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e0, e0) = all_14_2
% 197.88/34.75    (3)  op(e0, e0) = e3
% 197.88/34.75    (4)   ~ (all_14_2 = e3)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with all_14_2, e3, e0, e0, simplifying with
% 197.88/34.75  |              (2), (3) gives:
% 197.88/34.75  |   (5)  all_14_2 = e3
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  
% 197.88/34.75  Sub-proof #1978 shows that the following formulas are inconsistent:
% 197.88/34.75  ----------------------------------------------------------------
% 197.88/34.75    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.88/34.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 197.88/34.75    (2)  op(e1, e1) = e3
% 197.88/34.75    (3)  op(e1, e1) = e1
% 197.88/34.75    (4)   ~ (e3 = e1)
% 197.88/34.75  
% 197.88/34.75  Begin of proof
% 197.88/34.75  | 
% 197.88/34.75  | GROUND_INST: instantiating (1) with e1, e3, e1, e1, simplifying with (2), (3)
% 197.88/34.75  |              gives:
% 197.88/34.75  |   (5)  e3 = e1
% 197.88/34.75  | 
% 197.88/34.75  | REDUCE: (4), (5) imply:
% 197.88/34.75  |   (6)  $false
% 197.88/34.75  | 
% 197.88/34.75  | CLOSE: (6) is inconsistent.
% 197.88/34.75  | 
% 197.88/34.75  End of proof
% 197.88/34.75  % SZS output end Proof for theBenchmark
% 197.88/34.75  
% 197.88/34.75  34143ms
%------------------------------------------------------------------------------